[was@modular papers]$ [was@modular papers]$ Magma V2.8-10 Thu Apr 11 2002 23:18:05 on modular [Seed = 3477447213] Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/emacs.m" Loading "/home/was/magma/local/init.m" > Attach("compute_cokerq.m"); > ComputeM3(23); Time: 0.090 Time: 0.030 Time: 0.010 ComputeM3( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 83, column 17: >> M := S / (WS meet S); ^ Runtime error in 'meet': Bad argument types Argument types given: SeqEnum[ModTupFldElt], Lat > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.000 Abelian Group of order 1 > ComputeM3(37); Time: 0.040 Time: 0.020 Time: 0.010 Abelian Group of order 1 > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.010 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.030 Time: 0.010 Time: 0.000 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.030 Time: 0.010 Time: 0.000 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) Abelian Group of order 1 > ComputeM3(23); In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 105, column 11: >> return M; ^ Runtime error: Undefined reference 'M' in package "/home/was/people/edixhoven/papers/compute_cokerq.m" > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.010 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ComputeM3( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 102, column 28: >> return IndexInSaturation(S+WS); ^ Runtime error: Number of arguments (1) does not equal expected number of arguments (2) > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.010 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.010 S = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 -1 0 0 0 0 0 0 0 0 0) ( 0 1 0 0 -1 0 0 0 0 0 0 0 0) ( 0 1 0 0 0 -1 0 0 0 0 0 0 0) ( 0 0 1 0 -1 0 0 0 0 0 0 0 0) ( 0 0 0 0 1 0 -1 0 0 0 0 0 0) ( 0 0 0 0 1 0 0 -1 0 0 0 0 0) ( 0 0 0 0 1 0 0 0 -1 0 0 0 0) ( 0 0 0 0 1 0 0 0 0 -1 0 0 0) ( 0 0 0 0 1 0 0 0 0 0 -1 0 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) S meet WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.000 S = [ ( 0 1 0 0 0 0 0 0 0 0 0 -1 0), ( 0 0 1 0 0 0 0 0 0 0 0 -1 0), ( 0 0 0 1 0 0 0 0 0 0 0 -1 0), ( 0 0 0 0 1 0 0 0 0 0 0 -1 0), ( 0 0 0 0 0 1 0 0 0 0 0 -1 0), ( 0 0 0 0 0 0 1 0 0 0 0 -1 0), ( 0 0 0 0 0 0 0 1 0 0 0 -1 0), ( 0 0 0 0 0 0 0 0 1 0 0 -1 0), ( 0 0 0 0 0 0 0 0 0 1 0 -1 0), ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) ] WS = [ ( 0 1 0 -1 0 0 0 0 0 0 0 0 0), ( 0 1 0 0 -1 0 0 0 0 0 0 0 0), ( 0 1 0 0 0 -1 0 0 0 0 0 0 0), ( 0 0 1 0 -1 0 0 0 0 0 0 0 0), ( 0 0 0 0 1 0 -1 0 0 0 0 0 0), ( 0 0 0 0 1 0 0 -1 0 0 0 0 0), ( 0 0 0 0 1 0 0 0 -1 0 0 0 0), ( 0 0 0 0 1 0 0 0 0 -1 0 0 0), ( 0 0 0 0 1 0 0 0 0 0 -1 0 0), ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ] S meet WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.020 Time: 0.010 Time: 0.010 S = [ ( 0 1 0 0 0 0 0 0 0 0 0 -1 0), ( 0 0 1 0 0 0 0 0 0 0 0 -1 0), ( 0 0 0 1 0 0 0 0 0 0 0 -1 0), ( 0 0 0 0 1 0 0 0 0 0 0 -1 0), ( 0 0 0 0 0 1 0 0 0 0 0 -1 0), ( 0 0 0 0 0 0 1 0 0 0 0 -1 0), ( 0 0 0 0 0 0 0 1 0 0 0 -1 0), ( 0 0 0 0 0 0 0 0 1 0 0 -1 0), ( 0 0 0 0 0 0 0 0 0 1 0 -1 0), ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) ] WS = [ ( 0 1 0 -1 0 0 0 0 0 0 0 0 0), ( 0 1 0 0 -1 0 0 0 0 0 0 0 0), ( 0 1 0 0 0 -1 0 0 0 0 0 0 0), ( 0 0 1 0 -1 0 0 0 0 0 0 0 0), ( 0 0 0 0 1 0 -1 0 0 0 0 0 0), ( 0 0 0 0 1 0 0 -1 0 0 0 0 0), ( 0 0 0 0 1 0 0 0 -1 0 0 0 0), ( 0 0 0 0 1 0 0 0 0 -1 0 0 0), ( 0 0 0 0 1 0 0 0 0 0 -1 0 0), ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ] true S meet WS = Lattice of rank 10 and degree 13 Basis: ( 0 1 0 0 0 0 0 0 0 0 0 -1 0) ( 0 0 1 0 0 0 0 0 0 0 0 -1 0) ( 0 0 0 1 0 0 0 0 0 0 0 -1 0) ( 0 0 0 0 1 0 0 0 0 0 0 -1 0) ( 0 0 0 0 0 1 0 0 0 0 0 -1 0) ( 0 0 0 0 0 0 1 0 0 0 0 -1 0) ( 0 0 0 0 0 0 0 1 0 0 0 -1 0) ( 0 0 0 0 0 0 0 0 1 0 0 -1 0) ( 0 0 0 0 0 0 0 0 0 1 0 -1 0) ( 0 0 0 0 0 0 0 0 0 0 1 -1 0) Abelian Group of order 1 > ComputeM3(101); Time: 0.100 Time: 0.040 Time: 0.110 S = [ (0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0) ] WS = [ (0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0), (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) ] true S meet WS = Lattice of rank 48 and degree 51 Basis: (0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0) (0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0) Abelian Group of order 1 > ComputeM3(23); Time: 0.030 Time: 0.010 Time: 0.000 S = [ ( 0 1 -1 0 0 0 0 0), ( 0 1 0 -1 0 0 0 0), ( 0 1 0 0 -1 0 0 0), ( 0 1 0 0 0 -1 0 0), ( 0 1 0 0 0 0 -1 -1) ] WS = [ ( 0 1 0 0 0 -1 0 0), ( 0 0 1 0 0 -1 0 0), ( 0 0 0 1 -1 0 0 0), ( 0 0 0 0 1 -1 0 0), ( 0 0 0 0 1 0 -1 -1) ] true S meet WS = Lattice of rank 5 and degree 8 Basis: ( 0 1 -1 0 0 0 0 0) ( 0 1 0 -1 0 0 0 0) ( 0 1 0 0 -1 0 0 0) ( 0 1 0 0 0 -1 0 0) ( 0 1 0 0 0 0 -1 -1) Abelian Group of order 1 > M := ModularForms(2*23); > S := CS(M); > NewSubspace(S); Space of modular forms on Gamma_0(46) of weight 2 and dimension 1 over Integer Ring. > Parent(PowerSeries(S.1)); [ q - q^2 + q^4 + 4*q^5 - 4*q^7 + O(q^8) ] > Parent($1[1]); In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 110, column 1: >> end intrinsic; ^ User error: bad syntax Space of modular forms on Gamma_0(46) of weight 2 and dimension 1 over Integer Ring. > f := Parent(PowerSeries(S.1)); Power series ring in q over Integer Ring > f := PowerSeries(S.1); > f; Power series ring in q over Integer Ring > f := PowerSeries(S.1); > f; q - 3*q^6 + O(q^8) > q := Parent(f).1; > Evaluate(f,q^2); q^2 - 3*q^12 > PrecisionBound(S); 6 > M; Space of modular forms on Gamma_0(46) of weight 2 and dimension 8 over Integer Ring. > S; Space of modular forms on Gamma_0(46) of weight 2 and dimension 5 over Integer Ring. > HeckeOperator(NS(S),2); [ 0 0 -3 -1 2] [ 1 0 -1 -1 0] [ 0 0 1 1 -2] [ 0 1 -2 -1 2] [ 0 0 1 0 -2] > HeckeOperator(NS(S),2); [-1] > NS(S); Space of modular forms on Gamma_0(46) of weight 2 and dimension 1 over Integer Ring. > S; Space of modular forms on Gamma_0(46) of weight 2 and dimension 5 over Integer Ring. > f; q - 3*q^6 + O(q^8) > S!f; q - 3*q^6 + O(q^8) > S!((1/2)*f); >> S!((1/2)*f); ^ Runtime error in '*': Bad argument types Argument types given: FldRatElt, RngSerPowElt > Eltseq(S!f); [ 1, 0, 0, 0, 0 ] > S; Space of modular forms on Gamma_0(46) of weight 2 and dimension 5 over Integer Ring. > IsCuspidal(S); true > Eltseq(S.2-3*S.3); [ 0, 1, -3, 0, 0 ] > ; > M := ComputeM(23); ComputeM( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 98, column 27: >> S2N := CuspidalSubspace(ModularForms(2*N),2); ^ Runtime error in 'CuspidalSubspace': Bad argument types Argument types given: ModFrm, RngIntElt > M := ComputeM(23); ComputeM( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 107, column 27: >> SN := CuspidalSubspace(ModularForms(N),2); ^ Runtime error in 'CuspidalSubspace': Bad argument types Argument types given: ModFrm, RngIntElt > M := ComputeM(23); ComputeM( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 109, column 24: >> BN2 := [Evaluate(f,q^2) + O(q^bnd): f in BN]; ^ Runtime error in '^': Bad argument types Argument types given: RngSerPow, RngIntElt > M := ComputeM(23); Runtime error: No return statement executed in intrinsic > M := ComputeM(23); > M; Abelian Group isomorphic to Z/2 + Z/20 Defined on 2 generators Relations: 2*M.1 = 0 20*M.2 = 0 > M := ComputeM(23); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.41 s). (0.051 s). Compute matrix of W2 with respect to B. (0 s). Compute a saturated integral basis BZ for S2N. (0.009 s). Compute the change-of-basis matrix from B to BZ. (0.009 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). > M := ComputeM(37); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.61 s). (0.08 s). Compute matrix of W2 with respect to B. (0.041 s). Compute a saturated integral basis BZ for S2N. (0.009 s). Compute the change-of-basis matrix from B to BZ. (0.029 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). > M; Abelian Group isomorphic to Z/2 + Z/330 Defined on 2 generators Relations: 2*M.1 = 0 330*M.2 = 0 > factor(330); [ <2, 1>, <3, 1>, <5, 1>, <11, 1> ] 1 > M := ComputeM(37); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.621 s). (0.059 s). Compute matrix of W2 with respect to B. (0.041 s). Compute a saturated integral basis BZ for S2N. (0 s). Compute the change-of-basis matrix from B to BZ. (0.029 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.01 s). ComputeM( N: 37 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 159, column 36: >> M4 := sub; ^ Runtime error in 'eq': Bad argument types Argument types given: GrpAbElt, RngIntElt > M := ComputeM(37); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.639 s). (0.06 s). Compute matrix of W2 with respect to B. (0.041 s). Compute a saturated integral basis BZ for S2N. (0.009 s). Compute the change-of-basis matrix from B to BZ. (0.029 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). > M; Abelian Group isomorphic to Z/2 + Z/2 Defined on 2 generators in supergroup: M.1 = $.1 M.2 = 165*$.2 Relations: 2*M.1 = 0 2*M.2 = 0 > M := ComputeM(23); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.399 s). (0.051 s). Compute matrix of W2 with respect to B. (0 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.01 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). ComputeM( N: 23 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 161, column 13: >> return M4/M2; ^ Runtime error in '/': Argument is not a subgroup > M := ComputeM(23); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.4 s). (0.059 s). Compute matrix of W2 with respect to B. (0.01 s). Compute a saturated integral basis BZ for S2N. (0 s). Compute the change-of-basis matrix from B to BZ. (0.021 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). > M; Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*M.1 = 0 > S1F2(23); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.41 s). (0.041 s). Compute matrix of W2 with respect to B. (0 s). Compute a saturated integral basis BZ for S2N. (0 s). Compute the change-of-basis matrix from B to BZ. (0.019 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*$.1 = 0 > ; > S1F2(23); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.4 s). (0.051 s). Compute matrix of W2 with respect to B. (0 s). Compute a saturated integral basis BZ for S2N. (0 s). Compute the change-of-basis matrix from B to BZ. (0.019 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*$.1 = 0 > S1F2(23 : Verbose := false); Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*$.1 = 0 > S1F2(37 : Verbose := false); Abelian Group of order 1 > S1F2(43 : Verbose := false); S1F2( N: 43 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 185, column 23: >> M4 := sub; ^ Runtime error in for: Iteration is not possible over this object > S1F2(43); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.771 s). (0.069 s). Compute matrix of W2 with respect to B. (0.051 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.041 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.009 s). S1F2( N: 43 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 185, column 23: >> M4 := sub; ^ Runtime error in for: Iteration is not possible over this object > S1F2(43); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.74 s). (0.07 s). Compute matrix of W2 with respect to B. (0.039 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.039 s). Compute the matrix of W2 with respect to BZ. (0.001 s). Compute T^*/(T^* meet WT^*). (0.011 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 S1F2( N: 43 ) In file "/home/was/people/edixhoven/papers/compute_cokerq.m", line 188, column 23: >> M4 := sub; ^ Runtime error in for: Iteration is not possible over this object > TorsionSubgroup; Intrinsic 'TorsionSubgroup' Signatures: ( G) -> GrpAb The torsion subgroup of G ( E) -> GrpAb, Map ( E) -> GrpAb, Map The torsion subgroup of E; E must be defined over Q or over a finite field ( J) -> GrpAb, Map Finds the rational torsion subgroup of J. The curve of J must have genus 2 and be defined over the rationals and have form y^2 = f(x) with integral coefficients. Second value gives the map from the group into J. > S := S1F2(43); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.78 s). (0.079 s). Compute matrix of W2 with respect to B. (0.041 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.039 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 Abelian Group of order 1 Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z Defined on 4 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 > S := S1F2(43); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (0.779 s). (0.07 s). Compute matrix of W2 with respect to B. (0.05 s). Compute a saturated integral basis BZ for S2N. (0.001 s). Compute the change-of-basis matrix from B to BZ. (0.041 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.01 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 > S; Abelian Group of order 1 > S := S1F2(101); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (1.989 s). (0.181 s). Compute matrix of W2 with respect to B. (0.051 s). Compute a saturated integral basis BZ for S2N. (0.03 s). Compute the change-of-basis matrix from B to BZ. (0.219 s). Compute the matrix of W2 with respect to BZ. (0.009 s). Compute T^*/(T^* meet WT^*). (0.091 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/12 + Z/485724 Defined on 8 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 4*M.6 = 0 12*M.7 = 0 485724*M.8 = 0 [Interrupted] > > > > S := S1F2(101); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. [Interrupted] > > > S := S1F2(43); >> S := S1F2(43); ^ Runtime error in 'S1F2': Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. > S := S1F2(59); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (1.07 s). (0.091 s). Compute matrix of W2 with respect to B. (0.029 s). Compute a saturated integral basis BZ for S2N. (0.011 s). Compute the change-of-basis matrix from B to BZ. (0.07 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.009 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/16948 Defined on 5 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 16948*M.5 = 0 > S; Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*S.1 = 0 > ; > AbelianGroup([0,0,2,5]); Abelian Group isomorphic to Z/10 + Z + Z Defined on 4 generators Relations: 2*$.3 = 0 5*$.4 = 0 > Invariants($1); [ 10, 0, 0 ] > S, M := S1F2(101); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (1.809 s). (0.191 s). Compute matrix of W2 with respect to B. (0.049 s). Compute a saturated integral basis BZ for S2N. (0.03 s). Compute the change-of-basis matrix from B to BZ. (0.17 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.089 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/12 + Z/485724 Defined on 8 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 4*M.6 = 0 12*M.7 = 0 485724*M.8 = 0 > S; Abelian Group isomorphic to Z/2 + Z/2 + Z/2 Defined on 3 generators Relations: 2*S.1 = 0 2*S.2 = 0 2*S.3 = 0 > M; Abelian Group isomorphic to Z/2 Defined on 1 generator Relations: 2*M.1 = 0 > S, M := S1F2(101); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (1.881 s). (0.179 s). Compute matrix of W2 with respect to B. (0.049 s). Compute a saturated integral basis BZ for S2N. (0.03 s). Compute the change-of-basis matrix from B to BZ. (0.17 s). Compute the matrix of W2 with respect to BZ. (0 s). Compute T^*/(T^* meet WT^*). (0.089 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/12 + Z/485724 Defined on 8 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 4*M.6 = 0 12*M.7 = 0 485724*M.8 = 0 > S; Abelian Group isomorphic to Z/2 + Z/2 + Z/2 Defined on 3 generators Relations: 2*S.1 = 0 2*S.2 = 0 2*S.3 = 0 > M; Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/12 + Z/485724 Defined on 8 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 4*M.6 = 0 12*M.7 = 0 485724*M.8 = 0 > time S, M := S1F2(431); Compute a basis of q-expansions for S_2(Gamma_0(2*N))^new. (20.35 s). (2.78 s). Compute matrix of W2 with respect to B. (0.56 s). Compute a saturated integral basis BZ for S2N. (0.5 s). Compute the change-of-basis matrix from B to BZ. (2.849 s). Compute the matrix of W2 with respect to BZ. (2.349 s). Compute T^*/(T^* meet WT^*). (440.731 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/4 + Z/4 + Z/4 + Z/4 + Z/4 + Z/4 + Z/4 + Z/40 + Z/200 + Z/1200 + Z/165097779717986180403096029086909759083904886400 Defined on 36 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 2*M.14 = 0 2*M.15 = 0 2*M.16 = 0 2*M.17 = 0 2*M.18 = 0 2*M.19 = 0 2*M.20 = 0 2*M.21 = 0 2*M.22 = 0 2*M.23 = 0 2*M.24 = 0 4*M.25 = 0 4*M.26 = 0 4*M.27 = 0 4*M.28 = 0 4*M.29 = 0 4*M.30 = 0 4*M.31 = 0 4*M.32 = 0 40*M.33 = 0 200*M.34 = 0 1200*M.35 = 0 165097779717986180403096029086909759083904886400*M.36 = 0 [Interrupted] [Interrupt twice in half a second; exiting] Total time: 549.559 seconds [was@modular papers]$ me Magma V2.8-10 Fri Apr 12 2002 00:50:34 on modular [Seed = 2787966262] Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/emacs.m" Loading "/home/was/magma/local/init.m" > factor(165097779717986180403096029086909759083904886400); [ <2, 7>, <3, 3>, <5, 2>, <7, 1>, <11, 1>, <13, 2>, <29, 1>, <31, 1>, <79, 1>, <109, 1>, <167, 1>, <313, 1>, <174583, 1>, <14189226683, 1>, <146492466697, 1> ] 1 > Attach("compute_cokerq.m"); > time S, M := S1F2(179); Compute a basis of q-expansions for S_2(Gamma_0(2*179))^new. (3.91 s). (0.399 s). Compute matrix of W2 with respect to B. (0.131 s). Compute a saturated integral basis BZ for S2N. (0.089 s). Compute the change-of-basis matrix from B to BZ. (0.529 s). Compute the matrix of W2 with respect to BZ. (0.091 s). W2Z = [-12730110934506584/2604967176117085 20416716011390824/2604967176117085 516854574025922/520993435223417 21526471383555351/2604967176117085 -12845066579956407/2604967176117085 6469103713398519/520993435223417 -8103755269648734/2604967176117085 -2008829615125936/2604967176117085 -6514918002444873/2604967176117085 15797319485478669/5209934352234170 -86618940529752157/5209934352234170 8218391667502018/520993435223417 37335293158830794/2604967176117085 44778883777578724/2604967176117085 4218663191418781/520993435223417 -89346594805785559/2604967176117085 26454140009021456/2604967176117085 -15306879498231157/2604967176117085 -9633994199544528/2604967176117085 -3439614229014292/2604967176117085 15408254226464135/1041986870446834 -22434262517330914/2604967176117085 5081096463391776/2604967176117085 -13621049063773829/520993435223417 85699381472107909/2604967176117085 -21485805489733033/5209934352234170 -11176711304559818/520993435223417 71159832159411527/5209934352234170 3045443610555589/153233363301005 -23244863215342017/1041986870446834 28749049187254/200382090470545 -155273906965915787/5209934352234170 14887636584826283/1041986870446834 -28962913589160377/5209934352234170 -31169517342814887/2604967176117085 -365488216292688/2604967176117085 37428740838344019/5209934352234170 -9883618532947957/2604967176117085 -33487321819723365/520993435223417 -159231278427763/2604967176117085 13414885746221517/306466726602010 -8826559633632967/520993435223417 4116212361705659/2604967176117085 -135595224958213677/5209934352234170] [-5192186223436443/5209934352234170 10792773127715953/5209934352234170 492941847818217/2083973740893668 16449079416131027/5209934352234170 -13844231640588203/10419868704468340 3837951301146967/1041986870446834 -2633876946116604/2604967176117085 -2982963283378627/5209934352234170 -6797074980559637/10419868704468340 2555067775515992/2604967176117085 -12293786757583321/2604967176117085 10433094547145691/2083973740893668 43103752650727391/10419868704468340 26530187340743163/5209934352234170 2278161329099719/1041986870446834 -50967592129449213/5209934352234170 26928616525991489/10419868704468340 -8115915705282999/5209934352234170 -15806086096829477/10419868704468340 -9852697035252523/10419868704468340 1897684841492734/520993435223417 -12637973103206913/5209934352234170 446848478866001/2604967176117085 -4306217659218889/520993435223417 103212001877826651/10419868704468340 -3307198359891364/2604967176117085 -3241042985355808/520993435223417 9391455123376671/2604967176117085 3542405292568301/612933453204020 -3478294747167798/520993435223417 71315712871551/801528361882180 -48992502245893027/5209934352234170 4028289690495273/1041986870446834 -9116102035322807/5209934352234170 -10168018942143897/2604967176117085 525028682063463/10419868704468340 5734506332435357/2604967176117085 -6147368735849409/5209934352234170 -9533012904910031/520993435223417 -400565486458691/5209934352234170 2005918881832301/153233363301005 -4770695115340443/1041986870446834 1724274596894211/10419868704468340 -20147275991485971/2604967176117085] [-19772096092092117/5209934352234170 13657542244442236/2604967176117085 396110090971344/520993435223417 32717146417823133/5209934352234170 -19724027040512571/5209934352234170 11376846065610787/1041986870446834 -10888842052799917/5209934352234170 -5846651499972003/5209934352234170 -5401400450764237/2604967176117085 6170295537363703/2604967176117085 -35052351651547704/2604967176117085 6612654066913566/520993435223417 57997967143799877/5209934352234170 34312285862151816/2604967176117085 6114014982213329/1041986870446834 -144237284071702257/5209934352234170 20825605666808259/2604967176117085 -11785647293761773/2604967176117085 -7588051240421792/2604967176117085 -4123957887130221/5209934352234170 11458327953561443/1041986870446834 -18878172491347371/2604967176117085 3466611861834324/2604967176117085 -21062191258715391/1041986870446834 136711663427474737/5209934352234170 -6911682692462281/2604967176117085 -17559119866757219/1041986870446834 54198883978343873/5209934352234170 40290560310937332/2604967176117085 -18276345031550589/1041986870446834 -10816050600653/400764180941090 -124790955679810543/5209934352234170 5897090105004561/520993435223417 -11067092942484649/2604967176117085 -54013497322584331/5209934352234170 -2331697106241682/2604967176117085 29745995779897641/5209934352234170 -7150696575152718/2604967176117085 -52248106608949371/1041986870446834 943101900313011/5209934352234170 89405005189801188/2604967176117085 -6799511889907610/520993435223417 9687874468058057/5209934352234170 -107052244604351773/5209934352234170] [-8925961322567007/5209934352234170 7236560007440896/2604967176117085 428752658266609/1041986870446834 13544052464943113/5209934352234170 -4753363617403428/2604967176117085 4870861601706775/1041986870446834 -6021158140595257/5209934352234170 -1286768540583979/2604967176117085 -5247438481143239/5209934352234170 2592163418458563/2604967176117085 -31953163899736383/5209934352234170 5981431309397467/1041986870446834 13996521399838896/2604967176117085 15239400138979866/2604967176117085 2870787883687913/1041986870446834 -65583678502497367/5209934352234170 19136665244540573/5209934352234170 -6026705331878853/2604967176117085 -7506874071340219/5209934352234170 -1709815210572223/2604967176117085 5494636011700117/1041986870446834 -8813120815270191/2604967176117085 4458450409658763/5209934352234170 -5182739449102287/520993435223417 31408765083979481/2604967176117085 -7816328525159237/5209934352234170 -7904537019811161/1041986870446834 12705907020651424/2604967176117085 41486045331090599/5209934352234170 -4192267619211838/520993435223417 -117600498801749/200382090470545 -28592564372435074/2604967176117085 2797462056912041/520993435223417 -7611662906643083/5209934352234170 -12330103658604728/2604967176117085 -3753165677374169/5209934352234170 10271171782316941/5209934352234170 -2987711614802653/2604967176117085 -24568557898995433/1041986870446834 3012185603746061/5209934352234170 82309925606515151/5209934352234170 -3199170268366486/520993435223417 309054240561851/2604967176117085 -48665292569032053/5209934352234170] [-27018861326951549/5209934352234170 18456992693198457/2604967176117085 1072361089162887/1041986870446834 44716317890641381/5209934352234170 -13789442989767501/2604967176117085 13259741437045359/1041986870446834 -16117225561816939/5209934352234170 -6860358080351248/2604967176117085 -13880394123757333/5209934352234170 11109047025220941/2604967176117085 -92156313682668541/5209934352234170 18419075996083195/1041986870446834 38166129295769602/2604967176117085 45576444647796862/2604967176117085 8398118153896265/1041986870446834 -184757945513122569/5209934352234170 51858610507077421/5209934352234170 -15796666175019696/2604967176117085 -19052501678855843/5209934352234170 -3166769318121621/2604967176117085 14967751339983361/1041986870446834 -23012607753358512/2604967176117085 11081891080542781/5209934352234170 -14271808618919191/520993435223417 92346455454616362/2604967176117085 -20856380787262339/5209934352234170 -24373179443002957/1041986870446834 35147942691041758/2604967176117085 106771160751655043/5209934352234170 -12286014483781403/520993435223417 -3368232739069/11787181792385 -80714939691332458/2604967176117085 7813610883930120/520993435223417 -29150809135987651/5209934352234170 -33406352550511366/2604967176117085 -2595893567789993/5209934352234170 35002611933623667/5209934352234170 -10662569162311331/2604967176117085 -69244701959537993/1041986870446834 7748477534682217/5209934352234170 238296622689222977/5209934352234170 -8959440641679624/520993435223417 5003654569189647/2604967176117085 -149191977381584781/5209934352234170] [-18249927249063753/10419868704468340 6120169503219212/2604967176117085 886358597534091/1041986870446834 32672471863514877/10419868704468340 -18398922177899989/10419868704468340 2475462086985482/520993435223417 -3169090079928907/2604967176117085 -2913097839710411/5209934352234170 -4416976063123323/5209934352234170 5565955089622277/5209934352234170 -32200158144770581/5209934352234170 6340372789651491/1041986870446834 56106962290009483/10419868704468340 32107350836735429/5209934352234170 5940140391424713/2083973740893668 -133484167467518123/10419868704468340 18444982751824121/5209934352234170 -11460599493610867/5209934352234170 -7591386208763303/5209934352234170 -6642298178575889/10419868704468340 2676639164075618/520993435223417 -16669357647821329/5209934352234170 1261222138040281/5209934352234170 -5347472209679408/520993435223417 122618553672163933/10419868704468340 -7364770797055169/5209934352234170 -15377317262109541/2083973740893668 12693869409987333/2604967176117085 37068063718764433/5209934352234170 -8411239327129941/1041986870446834 17339961822219/47148727169540 -27434912089144223/2604967176117085 2705477769993993/520993435223417 -10052900746192381/5209934352234170 -11135935940311756/2604967176117085 -1302802612097739/2604967176117085 15819953539221857/5209934352234170 -1951263775993351/2604967176117085 -48701620812957023/2083973740893668 -945130329256809/2604967176117085 41253635940838461/2604967176117085 -6045602568647319/1041986870446834 5989513774628803/10419868704468340 -45569593410795991/5209934352234170] [12115665874816471/5209934352234170 -15600369348439791/5209934352234170 -627888727875061/2083973740893668 -19840493612170979/5209934352234170 25230128215233831/10419868704468340 -6006769849190323/1041986870446834 4022969739208083/2604967176117085 3908620322864979/5209934352234170 9130427293883999/10419868704468340 -4265556819952709/2604967176117085 20695333315881777/2604967176117085 -16541367924308191/2083973740893668 -70912127242968507/10419868704468340 -35926510316206941/5209934352234170 -1918295791517627/520993435223417 82113378877803461/5209934352234170 -43193869420167173/10419868704468340 13472636138613243/5209934352234170 23793141092767799/10419868704468340 4585313376996501/10419868704468340 -201622543082450/30646672660201 10031316416248458/2604967176117085 -2650768398668772/2604967176117085 6491443015909453/520993435223417 -9679480774192461/612933453204020 5298609695638383/2604967176117085 5378130563387083/520993435223417 -16134666070254692/2604967176117085 -97530478437715689/10419868704468340 5610929697773909/520993435223417 -101323205608987/801528361882180 72570125337997879/5209934352234170 -7416982971963341/1041986870446834 14629595392962319/5209934352234170 14119307163410144/2604967176117085 1966430698828829/10419868704468340 -8911096360894164/2604967176117085 8743916289780393/5209934352234170 31503630671713665/1041986870446834 -1518328726198053/5209934352234170 -54772952418949514/2604967176117085 245311948588326/30646672660201 -14769935176678127/10419868704468340 32622749085924342/2604967176117085] [4647109896719053/10419868704468340 -718540816462712/2604967176117085 12147194095545/1041986870446834 -6004850625886427/10419868704468340 2586256037436999/10419868704468340 -461908457075157/520993435223417 237251154110142/2604967176117085 -789991692257019/5209934352234170 239753425164583/5209934352234170 -1085444623414797/5209934352234170 4437602389744761/5209934352234170 -1266176609449451/1041986870446834 -8690848627750503/10419868704468340 -5238517882355959/5209934352234170 -892872240994433/2083973740893668 22293661778866293/10419868704468340 -1981906464013381/5209934352234170 119799791151607/5209934352234170 2339606343268303/5209934352234170 3106077166753059/10419868704468340 -418429599789023/520993435223417 1507680480843339/5209934352234170 -430882324263161/5209934352234170 1104559810391075/520993435223417 -19222783163723713/10419868704468340 1838439918513409/5209934352234170 2130294248326665/2083973740893668 -1912958544702293/2604967176117085 -7841967318972153/5209934352234170 959365036994805/1041986870446834 -6085427164239/47148727169540 3868225670905743/2604967176117085 -252530415956028/520993435223417 874420900233851/5209934352234170 886772204546366/2604967176117085 266469590819259/2604967176117085 -275391036452307/5209934352234170 1363836764101751/2604967176117085 7212587811962801/2083973740893668 -128690386254766/2604967176117085 -5514627423241106/2604967176117085 609481229742731/1041986870446834 1249296489018267/10419868704468340 5394620414491181/5209934352234170] [-54594064803669/89826454348865 65215588925189/89826454348865 172725214355/2113563631738 93949832546231/89826454348865 -130630714707949/179652908697730 3133939706763/2113563631738 -42439026451324/89826454348865 -65776707057267/179652908697730 -37633579008391/179652908697730 31570922354797/89826454348865 -190837752337061/89826454348865 4630820316543/2113563631738 321654708490033/179652908697730 197226049193689/89826454348865 15735434091889/17965290869773 -413339711318964/89826454348865 12584825772191/10567818158690 73478405340901/179652908697730 -29541221079801/179652908697730 -18085826610229/179652908697730 77966148629939/35930581739546 -64621168958634/89826454348865 64242386640197/179652908697730 -3404711315001/1056781815869 764598265546443/179652908697730 -126358242730833/179652908697730 -47128628788989/17965290869773 89624774419171/89826454348865 331519103357061/179652908697730 -55954974917704/17965290869773 -4964455570667/13819454515210 -318601248981846/89826454348865 71892948915553/35930581739546 -6624025967231/10567818158690 -343675702035649/179652908697730 -3204821042451/179652908697730 120716805203229/179652908697730 -132723330528709/179652908697730 -8368417205195/1056781815869 10565972121329/179652908697730 534508033753892/89826454348865 -40873553009457/17965290869773 -389752041947/179652908697730 -766662426952977/179652908697730] [18714060976819817/5209934352234170 -25939386978048607/5209934352234170 -1620131397580903/2083973740893668 -16282364445876244/2604967176117085 42717722408701377/10419868704468340 -9514328894218363/1041986870446834 6125104645862791/2604967176117085 6768704787346023/5209934352234170 20249334886366023/10419868704468340 -5837487706957003/2604967176117085 31387501732111709/2604967176117085 -24675091750537201/2083973740893668 -108843046473006919/10419868704468340 -63570589122498297/5209934352234170 -2855624230978566/520993435223417 64272225542210971/2604967176117085 -73278471243097131/10419868704468340 22415080602769701/5209934352234170 34435026302099783/10419868704468340 16976831114438167/10419868704468340 -5166316229538075/520993435223417 33643681285027407/5209934352234170 -162324710757617/153233363301005 10010051794550785/520993435223417 -254264767043869849/10419868704468340 7518476155437171/2604967176117085 7782176684278496/520993435223417 -26133420291968089/2604967176117085 -154575367948093763/10419868704468340 8273606273125565/520993435223417 281648547255531/801528361882180 115134867413737563/5209934352234170 -11219927660456243/1041986870446834 18998465561827803/5209934352234170 23530379942786758/2604967176117085 -2005056529234477/10419868704468340 -12875048582814138/2604967176117085 10999554052578951/5209934352234170 24221899733917282/520993435223417 -1298633838282871/5209934352234170 -83910884082170233/2604967176117085 11936787603420253/1041986870446834 -3180997748368469/10419868704468340 50353500353666889/2604967176117085] [1827852093735653/1041986870446834 -2536467866647323/1041986870446834 -863463544343057/2083973740893668 -2844268450361925/1041986870446834 3424294456739089/2083973740893668 -4734975197131383/1041986870446834 659150539417868/520993435223417 794391309880963/1041986870446834 1676585767637855/2083973740893668 -699214151507787/520993435223417 2985795630363041/520993435223417 -12068093642335219/2083973740893668 -10133250698516837/2083973740893668 -3085854797881600/520993435223417 -1502255371797298/520993435223417 12569271828987859/1041986870446834 -6745507759534269/2083973740893668 2309563721987641/1041986870446834 2893438487262111/2083973740893668 1176177805483315/2083973740893668 -2730395255499917/520993435223417 4118288402043227/1041986870446834 -556850135901521/520993435223417 5023000313472728/520993435223417 -24628608983059907/2083973740893668 761714392819109/520993435223417 8015497752160413/1041986870446834 -2224860445448546/520993435223417 -14594427186714201/2083973740893668 4208895035161363/520993435223417 68175940868747/160305672376436 10775835661060667/1041986870446834 -353821501712495/61293345320402 2284460802864135/1041986870446834 2336831789537832/520993435223417 -1876429455910221/2083973740893668 -1590932145868929/520993435223417 1602407405311611/1041986870446834 11647114845890988/520993435223417 88146508310927/1041986870446834 -8720677982059703/520993435223417 6127303968699053/1041986870446834 -274613831116667/2083973740893668 5162347285492451/520993435223417] [-38731395452388931/5209934352234170 27564644137964248/2604967176117085 1578950106274835/1041986870446834 64637794382542869/5209934352234170 -19632322805445644/2604967176117085 19924218931567215/1041986870446834 -25306305329911491/5209934352234170 -16817164940028759/5209934352234170 -20788457370905607/5209934352234170 23636396224966593/5209934352234170 -7834688158899547/306466726602010 25757931119877419/1041986870446834 56667988264452143/2604967176117085 67129941093417658/2604967176117085 12088476006917197/1041986870446834 -268922589774120301/5209934352234170 77843833010664529/5209934352234170 -23645279858074469/2604967176117085 -32901658531851947/5209934352234170 -5909398669481289/2604967176117085 10891273358462676/520993435223417 -2007771475679549/153233363301005 5999571306224072/2604967176117085 -42095454678774921/1041986870446834 133133289669727488/2604967176117085 -31965368823445461/5209934352234170 -33988525284537125/1041986870446834 53493998361371242/2604967176117085 158902548699170147/5209934352234170 -17752713054709752/520993435223417 -38301199745617/200382090470545 -121223171959633767/2604967176117085 22691442768245053/1041986870446834 -40517258739695949/5209934352234170 -101327274551920223/5209934352234170 -799693446417287/5209934352234170 29270918853798539/2604967176117085 -12624013185365644/2604967176117085 -101706728181961939/1041986870446834 1812614927788603/5209934352234170 354413102527016343/5209934352234170 -12578427978520583/520993435223417 4654137659454258/2604967176117085 -6260107014740181/153233363301005] [-17508889434025536/2604967176117085 24501953170271591/2604967176117085 661580802108210/520993435223417 28321896748914794/2604967176117085 -18011916454655598/2604967176117085 9018292152034272/520993435223417 -23707790226821797/5209934352234170 -13706331287531673/5209934352234170 -9043298644787577/2604967176117085 11205650791988283/2604967176117085 -121289439114203603/5209934352234170 11695764938782285/520993435223417 52793146557431161/2604967176117085 61338703006341211/2604967176117085 5673313131122759/520993435223417 -122829633310373211/2604967176117085 35354513045335569/2604967176117085 -43237246536489081/5209934352234170 -14176538915356052/2604967176117085 -4828985004825053/2604967176117085 10172431215400882/520993435223417 -30903555705997236/2604967176117085 6947922976455259/2604967176117085 -19152966363870206/520993435223417 120475824579751376/2604967176117085 -12371720950459271/2604967176117085 -15168716588548543/520993435223417 48639675733945014/2604967176117085 4287160456715831/153233363301005 -16151888904174327/520993435223417 -177828777920779/200382090470545 -109442827381237089/2604967176117085 20293323144664517/1041986870446834 -17910980884217454/2604967176117085 -90957430022172931/5209934352234170 -2261810139699462/2604967176117085 25284177157797188/2604967176117085 -24442086708334501/5209934352234170 -46183712857575325/520993435223417 1387053877517913/2604967176117085 18731556353734973/306466726602010 -11982435700968316/520993435223417 5896465420585541/2604967176117085 -94752250548172059/2604967176117085] [3194129066324272/2604967176117085 -3856016291323272/2604967176117085 -134112812254609/520993435223417 -5676589944501413/2604967176117085 3261011275992911/2604967176117085 -3137164374289453/1041986870446834 2938321388595822/2604967176117085 916606511354588/2604967176117085 1235550021749184/2604967176117085 -2184422055241321/2604967176117085 20144225757748841/5209934352234170 -2200134466799548/520993435223417 -8566839614307732/2604967176117085 -10524100051730247/2604967176117085 -972223788739466/520993435223417 21683648506683902/2604967176117085 -5583790035322173/2604967176117085 6494744727889227/5209934352234170 137125569876652/153233363301005 630478574008906/2604967176117085 -3534151985347507/1041986870446834 4713084691160777/2604967176117085 -1639086150158328/2604967176117085 6774057712472777/1041986870446834 -21193685142653787/2604967176117085 1946073185500357/2604967176117085 2876592943923308/520993435223417 -13417016924400671/5209934352234170 -13730804361078029/2604967176117085 5751983108761597/1041986870446834 -51613530606732/200382090470545 36141512133574631/5209934352234170 -3754359906868859/1041986870446834 3958166434590133/2604967176117085 7753324085173216/2604967176117085 1189016625781489/2604967176117085 -6860160588872017/5209934352234170 360377250868181/306466726602010 8055320407483909/520993435223417 -1153235930196127/5209934352234170 -56974763267343637/5209934352234170 2148119348093747/520993435223417 -703761330694482/2604967176117085 33679820243772451/5209934352234170] [-5740825512796813/2604967176117085 16135963116282601/5209934352234170 184041270995331/520993435223417 9306610642118117/2604967176117085 -6048163806576299/2604967176117085 2951810141766152/520993435223417 -7565011668382621/5209934352234170 -2411993979472457/2604967176117085 -3147910066794256/2604967176117085 6573902739581083/5209934352234170 -41462016879371659/5209934352234170 4079956571158087/520993435223417 17678848025439568/2604967176117085 20778282826265288/2604967176117085 1855442235728274/520993435223417 -42627054379735888/2604967176117085 11645571273776627/2604967176117085 -15246743432242393/5209934352234170 -3560244632018461/2604967176117085 -1204039412592294/2604967176117085 3402472164685220/520993435223417 -10004599700506743/2604967176117085 2831714941109777/2604967176117085 -6277810561044044/520993435223417 41688225874132398/2604967176117085 -11360995084028771/5209934352234170 -307214253876606/30646672660201 14343328530125622/2604967176117085 24251730233732761/2604967176117085 -9663878879019413/1041986870446834 -15050486141132/200382090470545 -71675665325509979/5209934352234170 7091738118653971/1041986870446834 -6106485589265417/2604967176117085 -28262200554510623/5209934352234170 -234439388544306/2604967176117085 531613688944752/153233363301005 -9647972902600753/5209934352234170 -15519628093976144/520993435223417 1539851289847673/5209934352234170 106797227035850463/5209934352234170 -4269103622471691/520993435223417 2448106403695458/2604967176117085 -33594667920740452/2604967176117085] [3365717508029922/2604967176117085 -8254892856745989/5209934352234170 -258474487612435/1041986870446834 -6106378881421228/2604967176117085 6437659374582767/5209934352234170 -1574305141925092/520993435223417 2991764837281029/5209934352234170 1509774147276233/2604967176117085 3108440628339513/5209934352234170 -3465889571366267/5209934352234170 20207427844782661/5209934352234170 -3901667604930943/1041986870446834 -17027400998913749/5209934352234170 -10461275602339252/2604967176117085 -961525529636169/520993435223417 21277906765141097/2604967176117085 -12138752820728371/5209934352234170 5184905472940857/5209934352234170 5661770436142313/5209934352234170 257295811581737/5209934352234170 -1785142974422906/520993435223417 4771567287063082/2604967176117085 -1466552079977748/2604967176117085 3546531389796377/520993435223417 -41370245594158109/5209934352234170 3609310539557699/5209934352234170 2884691660628612/520993435223417 -8797572797039778/2604967176117085 -1539950251541189/306466726602010 5604685033157075/1041986870446834 -200097513584119/400764180941090 40602621572762991/5209934352234170 -3692221857464901/1041986870446834 4900222381703288/2604967176117085 14109797421865927/5209934352234170 1329542275768173/5209934352234170 -4299293103035206/2604967176117085 6050653907802557/5209934352234170 7978222853319456/520993435223417 -2995166265259577/5209934352234170 -3377951515931001/306466726602010 2089471489344142/520993435223417 -2942910465411739/5209934352234170 16953514407581558/2604967176117085] [25774165580019691/5209934352234170 -18340541994376103/2604967176117085 -513011186799568/520993435223417 -44073867664028199/5209934352234170 26501620269590513/5209934352234170 -13436643581127919/1041986870446834 17549964035269251/5209934352234170 9451653773762379/5209934352234170 7138331810614441/2604967176117085 -14887857622179433/5209934352234170 90392193146658709/5209934352234170 -8471478179925230/520993435223417 -77774209090839411/5209934352234170 -45058010514022643/2604967176117085 -8231840265438805/1041986870446834 179247938423922631/5209934352234170 -27022586595926757/2604967176117085 16450320644363234/2604967176117085 11312678321334151/2604967176117085 4804009491412113/5209934352234170 -7381918011700744/520993435223417 23964602801590883/2604967176117085 -4339035564785177/2604967176117085 28341650809196859/1041986870446834 -177065142244341141/5209934352234170 22456906351862171/5209934352234170 21683660181615947/1041986870446834 -36646930111019832/2604967176117085 -53969603025379961/2604967176117085 11661486628495328/520993435223417 107575197946449/400764180941090 82174783698160067/2604967176117085 -902162567872213/61293345320402 29612493049376349/5209934352234170 65202665349207133/5209934352234170 1806490310903741/2604967176117085 -20155953782854569/2604967176117085 6893127143297049/2604967176117085 67164938784557983/1041986870446834 -4216210082383203/5209934352234170 -230251672672712193/5209934352234170 8486121409651605/520993435223417 -6490338343022041/5209934352234170 68675131384605717/2604967176117085] [6378551919698319/5209934352234170 -7697966138584979/5209934352234170 -348802387345391/2083973740893668 -5289709459418028/2604967176117085 11750998580813099/10419868704468340 -2788813766166133/1041986870446834 1490340212093882/2604967176117085 2400710294922631/5209934352234170 10473092634542181/10419868704468340 -1928559595110651/2604967176117085 9523077653508448/2604967176117085 -8195084188976573/2083973740893668 -32264041176842383/10419868704468340 -19776351420293259/5209934352234170 -874563566783672/520993435223417 19777540702307497/2604967176117085 -21164201420498887/10419868704468340 5857880376013227/5209934352234170 9983479456128731/10419868704468340 3388095526272259/10419868704468340 -95046301928814/30646672660201 8524297774149749/5209934352234170 -1983662020001263/2604967176117085 3082587025463944/520993435223417 -4632020383002169/612933453204020 1311499298724852/2604967176117085 5440687279976811/1041986870446834 -6583353786739438/2604967176117085 -44874440211718051/10419868704468340 2792274657917770/520993435223417 90947059397017/801528361882180 34935256390654701/5209934352234170 -3953202715995411/1041986870446834 8668757087741431/5209934352234170 6249245310980896/2604967176117085 841958248802951/10419868704468340 -4503711393352466/2604967176117085 4132217770793427/5209934352234170 15231547659971781/1041986870446834 690254286229373/5209934352234170 -27525437695435721/2604967176117085 210339605581967/61293345320402 -2533480593518743/10419868704468340 16604234956549113/2604967176117085] [14289931184117008/2604967176117085 -20279608197476788/2604967176117085 -588589168903321/520993435223417 -23880487873451582/2604967176117085 14891823454819274/2604967176117085 -14426394234907731/1041986870446834 9575729931403308/2604967176117085 6274468348347052/2604967176117085 7905788132745416/2604967176117085 -8818778086582284/2604967176117085 97874848539126669/5209934352234170 -9397464412015785/520993435223417 -41339259439204628/2604967176117085 -48895918826841798/2604967176117085 -4296709464425359/520993435223417 98827781655835678/2604967176117085 -28769456541630417/2604967176117085 34336999266743243/5209934352234170 12329457257999496/2604967176117085 2891455970667019/2604967176117085 -16100384354911147/1041986870446834 25711088553471043/2604967176117085 -4823323643185357/2604967176117085 30892587036229895/1041986870446834 -98016325459957898/2604967176117085 11605280725083583/2604967176117085 12223966486549508/520993435223417 -78728655735591569/5209934352234170 -58277255290924961/2604967176117085 25756553150005523/1041986870446834 114513905022327/200382090470545 179073073768632659/5209934352234170 -16778282218484367/1041986870446834 13773441761851982/2604967176117085 35135953678450734/2604967176117085 229385568403801/2604967176117085 -43494267519075013/5209934352234170 23717655069209353/5209934352234170 37207810915887753/520993435223417 -1674730461153533/5209934352234170 -255976621669927013/5209934352234170 9361614674103896/520993435223417 -3877296274303943/2604967176117085 154540178798588099/5209934352234170] [-2738266525107819/5209934352234170 1659072498579017/2604967176117085 71100688888028/520993435223417 3445786171732511/5209934352234170 -3048956519247927/5209934352234170 1600165858112795/1041986870446834 -831136036571872/2604967176117085 218624835825959/5209934352234170 -919260865591954/2604967176117085 1808833665189396/2604967176117085 -5156553267616773/2604967176117085 818536909919567/520993435223417 9046702439369509/5209934352234170 4495489854348147/2604967176117085 919232058891933/1041986870446834 -21163144561640709/5209934352234170 3344643912024728/2604967176117085 -3551568690796317/5209934352234170 -1023470961589884/2604967176117085 22603374044093/5209934352234170 1916790744337309/1041986870446834 -2872977314673652/2604967176117085 1594525650120791/5209934352234170 -1739607875317826/520993435223417 18072025136776799/5209934352234170 -1863751437626239/5209934352234170 -2226395787658161/1041986870446834 4368812434945278/2604967176117085 7626696421955594/2604967176117085 -1389794733271110/520993435223417 3962751922637/23574363584770 -10138285805448513/2604967176117085 1550538597674259/1041986870446834 -3877834511108001/5209934352234170 -8129916194447117/5209934352234170 -749527345620809/2604967176117085 5529686427144297/5209934352234170 -2552899059487097/5209934352234170 -8163627092845989/1041986870446834 386949640021427/5209934352234170 12829650073593346/2604967176117085 -1222842681753964/520993435223417 -589453999758861/5209934352234170 -12395537904472091/5209934352234170] [-1880370226096433/801528361882180 1326174647141889/400764180941090 65685910360557/160305672376436 3003014287551917/801528361882180 -1025989605433367/400764180941090 502836995008997/80152836188218 -304461998605957/200382090470545 -184828020724463/200382090470545 -898971660521171/801528361882180 630908126870607/400764180941090 -3413428336414151/400764180941090 1318308687297251/160305672376436 2913397307195209/400764180941090 1671782574135192/200382090470545 602417489981647/160305672376436 -13784739615394733/801528361882180 3973733047104267/801528361882180 -572109518439326/200382090470545 -1532119959294721/801528361882180 -260640212882877/400764180941090 295818779761222/40076418094109 -851673207504587/200382090470545 373935439911491/400764180941090 -533205708697580/40076418094109 6836694780661659/400764180941090 -858912348039399/400764180941090 -1737011833088765/160305672376436 1331892891030668/200382090470545 8681754616121981/801528361882180 -923611193523011/80152836188218 -3056409090159/23574363584770 -5953574299421931/400764180941090 578099931511171/80152836188218 -536055040661493/200382090470545 -1226073938501816/200382090470545 -591930537033811/801528361882180 1413585023295517/400764180941090 -883530787005797/400764180941090 -5134329584793233/160305672376436 -6128990782443/400764180941090 4383839029990381/200382090470545 -596398450869861/80152836188218 113960426561419/400764180941090 -5178823281142691/400764180941090] [2597804565562677/2604967176117085 -7618830709061929/5209934352234170 -119258558622623/520993435223417 -3729048017365668/2604967176117085 2645932080645121/2604967176117085 -1261580311194407/520993435223417 3191930370131479/5209934352234170 1565995431267781/5209934352234170 1839926025544779/2604967176117085 -2469735353655937/5209934352234170 10133716098116488/2604967176117085 -1473912472879201/520993435223417 -7531076351508067/2604967176117085 -8477980365265087/2604967176117085 -763831205315583/520993435223417 17209509091612802/2604967176117085 -5648983107690268/2604967176117085 6125425133031237/5209934352234170 2522309648048479/2604967176117085 742996952989936/2604967176117085 -1472815417342292/520993435223417 4947699275765967/2604967176117085 -3801277756973161/5209934352234170 5452229873124991/1041986870446834 -17292666771928182/2604967176117085 2345495406356837/2604967176117085 2031960046290429/520993435223417 -17646613430875141/5209934352234170 -11813012642159424/2604967176117085 2165700738791696/520993435223417 6399155914308/200382090470545 16557693078502118/2604967176117085 -2610185404430913/1041986870446834 2457654299009341/5209934352234170 7571560113618716/2604967176117085 341637767965354/2604967176117085 -3290851442313976/2604967176117085 2508559256397617/5209934352234170 6571973348296855/520993435223417 -546499992773907/5209934352234170 -22601220971751106/2604967176117085 1739381638811671/520993435223417 -80199455518222/2604967176117085 13963566323360843/2604967176117085] [-2226477063907833/5209934352234170 3802970447540013/5209934352234170 197389025508907/2083973740893668 1909950146310611/2604967176117085 -4807991713728043/10419868704468340 1027391369517215/1041986870446834 -779331959709584/2604967176117085 -1956162408313507/5209934352234170 -1484814927026657/10419868704468340 721996835478437/2604967176117085 -4257410744672206/2604967176117085 3050653359490033/2083973740893668 14493282427522421/10419868704468340 4009590063836144/2604967176117085 597476370029649/1041986870446834 -7134659818027194/2604967176117085 6575902200381939/10419868704468340 -3833249942747749/5209934352234170 -4384560530983937/10419868704468340 -1338016109711043/10419868704468340 621021639818491/520993435223417 -4331362582034233/5209934352234170 623635277802226/2604967176117085 -948407917246601/520993435223417 30649438909309481/10419868704468340 -1536889321666274/2604967176117085 -1516668086363389/1041986870446834 2841812899324976/2604967176117085 13869330683494367/10419868704468340 -967463571486792/520993435223417 -239968509070449/801528361882180 -13518974951617087/5209934352234170 1222233119728961/1041986870446834 -1999830849514067/5209934352234170 -2601572283752667/2604967176117085 -5535189098187637/10419868704468340 -774995485822793/2604967176117085 -1552816822192939/5209934352234170 -3071405878962903/520993435223417 -186074150521001/5209934352234170 8735319918905522/2604967176117085 -1796644965869095/1041986870446834 2215859707824041/10419868704468340 -5593806928324996/2604967176117085] [-7071973532107401/1041986870446834 9949975377680801/1041986870446834 3170781215441535/2083973740893668 11669025081389525/1041986870446834 -14701731652630251/2083973740893668 18295257132739915/1041986870446834 -2299869116274272/520993435223417 -2426703019669427/1041986870446834 -7864966892490321/2083973740893668 2070100319158562/520993435223417 -12340518594859044/520993435223417 47411140650339421/2083973740893668 42123326000637317/2083973740893668 12261104642242440/520993435223417 11262828342325097/1041986870446834 -50133512538283247/1041986870446834 29415163300985405/2083973740893668 -8664415012951963/1041986870446834 -11899794283493977/2083973740893668 -3443326136750339/2083973740893668 10314818919767433/520993435223417 -6441615256556878/520993435223417 1270420996553265/520993435223417 -19646016153504395/520993435223417 98150044024276905/2083973740893668 -2898869244420583/520993435223417 -15603965220660255/520993435223417 10089224487032655/520993435223417 59036814296572041/2083973740893668 -16206189030326616/520993435223417 -22978780240475/160305672376436 -44927742251606635/1041986870446834 1226961283536399/61293345320402 -7300073479563531/1041986870446834 -9337221746048487/520993435223417 -1530506830336877/2083973740893668 5308811181800180/520993435223417 -4790194487391903/1041986870446834 -46759935772304719/520993435223417 900864317568115/1041986870446834 32444564597090320/520993435223417 -11794261339478988/520993435223417 4021880006368225/2083973740893668 -19368318505056578/520993435223417] [46083165711465527/5209934352234170 -32096140312358841/2604967176117085 -1753665670106339/1041986870446834 -77468875575110973/5209934352234170 23456589431676858/2604967176117085 -23370518028607111/1041986870446834 14570386921036606/2604967176117085 18840843591901063/5209934352234170 23970818748173929/5209934352234170 -28289206972302761/5209934352234170 157595997557321073/5209934352234170 -30807872870809257/1041986870446834 -66824347717354401/2604967176117085 -79286857428215486/2604967176117085 -14364044620163525/1041986870446834 321413835606886927/5209934352234170 -92966382673516213/5209934352234170 55426658421888941/5209934352234170 38301217775255989/5209934352234170 4819040512577748/2604967176117085 -13113172456624652/520993435223417 40733643403060421/2604967176117085 -18584598159578213/5209934352234170 25012080129141314/520993435223417 -155933217494176466/2604967176117085 18054384194662821/2604967176117085 2360364016845927/61293345320402 -126307734527822373/5209934352234170 -187870770148040249/5209934352234170 41798247752797771/1041986870446834 142339444306284/200382090470545 284880023482016383/5209934352234170 -13721731837974353/520993435223417 24581353351358104/2604967176117085 116698307768684301/5209934352234170 1528025703262599/5209934352234170 -2064366397501714/153233363301005 30521531738356001/5209934352234170 120200633220387183/1041986870446834 -1991267318549981/5209934352234170 -419274733092637641/5209934352234170 15304213135539662/520993435223417 -7526954456915956/2604967176117085 125992082834710019/2604967176117085] [-9613520114922259/2083973740893668 6583927701118867/1041986870446834 2084512252148437/2083973740893668 15862653608938185/2083973740893668 -4954595364602719/1041986870446834 12054778606587109/1041986870446834 -87294377556629/30646672660201 -930024998841467/520993435223417 -5001844379485047/2083973740893668 3008267512342837/1041986870446834 -16271389341595541/1041986870446834 32080072927131041/2083973740893668 14386716428632233/1041986870446834 482468745138688/30646672660201 14933439444955561/2083973740893668 -66665280426822327/2083973740893668 18977067663176839/2083973740893668 -2866885009636306/520993435223417 -7906717940103999/2083973740893668 -1354110468203705/1041986870446834 6818586158341249/520993435223417 -4155336038957995/520993435223417 1687361216369981/1041986870446834 -12932360491947967/520993435223417 33293857350392911/1041986870446834 -4002001647477077/1041986870446834 -42083536224948427/2083973740893668 365737216177259/30646672660201 39434939910595353/2083973740893668 -22247743989404003/1041986870446834 -42247050238643/80152836188218 -29415954503854573/1041986870446834 14308645145112077/1041986870446834 -2635797998552630/520993435223417 -6052312684429666/520993435223417 -63986320715021/2083973740893668 6714846594170381/1041986870446834 -4060257676229695/1041986870446834 -125317918888455097/2083973740893668 360835456980145/1041986870446834 21756235697222077/520993435223417 -8107099145137856/520993435223417 485246334874961/520993435223417 -26721394197271589/1041986870446834] [-267574267809851/179652908697730 352698694738041/179652908697730 8178380643349/35930581739546 440714217317619/179652908697730 -131057896079624/89826454348865 57997451503579/17965290869773 -148835048053801/179652908697730 -89090099320312/89826454348865 -92910596884757/179652908697730 64388958183479/89826454348865 -413561582072377/89826454348865 180457133990257/35930581739546 355186471048043/89826454348865 444335427812363/89826454348865 73399126863449/35930581739546 -1687017635035631/179652908697730 411761786730789/179652908697730 -262920261402433/179652908697730 -219084315891937/179652908697730 -56830793814204/89826454348865 121254640063711/35930581739546 -192862395859668/89826454348865 77678919118417/89826454348865 -128542957637910/17965290869773 877524809418148/89826454348865 -86575465001543/89826454348865 -252459868054161/35930581739546 605594135523619/179652908697730 52437105847021/10567818158690 -114898977509087/17965290869773 -351719426117/6909727257605 -775437493818207/89826454348865 75017166154053/17965290869773 -348081182158789/179652908697730 -608013509193983/179652908697730 35454482623883/179652908697730 273558966442503/179652908697730 -190600747828333/179652908697730 -643241413078549/35930581739546 14606047367003/179652908697730 66496205037552/5283909079345 -82969906525427/17965290869773 36708858304803/89826454348865 -1502068404893169/179652908697730] [-30385102921291731/10419868704468340 10581507587737899/2604967176117085 628012969268357/1041986870446834 52139298419589639/10419868704468340 -30657459991730313/10419868704468340 3986932389946462/520993435223417 -5077219813232344/2604967176117085 -4589736319789997/5209934352234170 -8283339218677901/5209934352234170 8496210501508789/5209934352234170 -53123474381803707/5209934352234170 9906486129888969/1041986870446834 91475141641977401/10419868704468340 27625969767908484/2604967176117085 9671197213773755/2083973740893668 -216038342113726251/10419868704468340 31551916217200087/5209934352234170 -18328204719279909/5209934352234170 -774648955168293/306466726602010 -8589845509135853/10419868704468340 4407694964972630/520993435223417 -27797790719114483/5209934352234170 3906877758209627/5209934352234170 -8334629168139994/520993435223417 208693653955681911/10419868704468340 -13161779277477153/5209934352234170 -26754229271253615/2083973740893668 21160198701944161/2604967176117085 30415896194945793/2604967176117085 -14071617373580031/1041986870446834 49659278226031/801528361882180 -48025704570565091/2604967176117085 4592312528288371/520993435223417 -16411064464860787/5209934352234170 -18718912947890427/2604967176117085 -328009547234591/5209934352234170 23952366375799219/5209934352234170 -211829245490286/153233363301005 -80566297819190013/2083973740893668 1791141094829707/2604967176117085 69169462545938997/2604967176117085 -5083512655516938/520993435223417 11936259061778511/10419868704468340 -83263178105453877/5209934352234170] [482003136372583/520993435223417 -661027343404435/520993435223417 -109217176409340/520993435223417 -801312936668848/520993435223417 484838083938192/520993435223417 -1242008790735896/520993435223417 726701869678963/1041986870446834 197697125514687/520993435223417 136317089473910/520993435223417 -346531298680525/520993435223417 1694668641778800/520993435223417 -1643307467049260/520993435223417 -1442380583900853/520993435223417 -1856545022718787/520993435223417 -754406167113033/520993435223417 3324598448507317/520993435223417 -942015249880442/520993435223417 1343325312578027/1041986870446834 500541107171905/520993435223417 92291323244013/520993435223417 -1316974703454362/520993435223417 663689795745107/520993435223417 -708876861129313/1041986870446834 4861927263139217/1041986870446834 -3490456640820595/520993435223417 1030661090475573/1041986870446834 2007601884691960/520993435223417 -2295124835792897/1041986870446834 -1845339966706482/520993435223417 4555063519030335/1041986870446834 10766346791354/40076418094109 5918955547415169/1041986870446834 -3153046390825075/1041986870446834 940190306042943/1041986870446834 1077531818699764/520993435223417 -66198671847808/520993435223417 -707385324632100/520993435223417 744828954004563/1041986870446834 6475546792617086/520993435223417 -33774008985519/520993435223417 -4541007757211206/520993435223417 1681908657708400/520993435223417 -52604075984445/520993435223417 2734658336082230/520993435223417] [-20669055790961943/10419868704468340 7213443782658357/2604967176117085 213234793499802/520993435223417 32260806266617447/10419868704468340 -21969707922162839/10419868704468340 2680968584500457/520993435223417 -3378392506889542/2604967176117085 -4665994053545701/5209934352234170 -5241255154590683/5209934352234170 6300121551170327/5209934352234170 -37339136836865681/5209934352234170 7196661416747067/1041986870446834 62871685786838953/10419868704468340 36865258478074609/5209934352234170 7891039386345757/2083973740893668 -151522236350948893/10419868704468340 21712911281556401/5209934352234170 -13440733461380257/5209934352234170 -7307839891674823/5209934352234170 -2237559394145459/10419868704468340 3128909688866757/520993435223417 -18280428340505709/5209934352234170 5227132355528671/5209934352234170 -5545349368699097/520993435223417 146183244695634193/10419868704468340 -10793918594447689/5209934352234170 -18178405880125641/2083973740893668 13018453862287108/2604967176117085 21932940848992829/2604967176117085 -9802061619263325/1041986870446834 -28131751851911/47148727169540 -32383416814290363/2604967176117085 3193341676512086/520993435223417 -9368521679723671/5209934352234170 -13504977700205296/2604967176117085 -269883231347584/2604967176117085 16013139456778877/5209934352234170 -4631924132886586/2604967176117085 -55688867361721509/2083973740893668 586921668838146/2604967176117085 47375585700584951/2604967176117085 -7516081432771645/1041986870446834 8544048532392473/10419868704468340 -57599135513279801/5209934352234170] [-510577048438835/520993435223417 708066933873261/520993435223417 178941768096503/1041986870446834 774254079260336/520993435223417 -1055601089264203/1041986870446834 2436446516408519/1041986870446834 -723300446740773/1041986870446834 -300661601369791/520993435223417 -546647188010315/1041986870446834 632332709292831/1041986870446834 -1703982912724012/520993435223417 3977915115722193/1041986870446834 2746605246997439/1041986870446834 1677149062154770/520993435223417 802769144386585/520993435223417 -3469980882865004/520993435223417 1904501343914521/1041986870446834 -513556788666102/520993435223417 -953500616104233/1041986870446834 -555252130141775/1041986870446834 1305204873374774/520993435223417 -837084965343486/520993435223417 504775658848681/1041986870446834 -2662610548859987/520993435223417 7751470725250385/1041986870446834 -378291934098323/520993435223417 -2431946984988062/520993435223417 2753706901655939/1041986870446834 3970853493847145/1041986870446834 -4779870823233231/1041986870446834 -11479408198253/80152836188218 -6230273162128793/1041986870446834 2652849467233077/1041986870446834 -666573599969336/520993435223417 -1182150655610520/520993435223417 67664790648089/1041986870446834 531735431628850/520993435223417 -515330279080980/520993435223417 -6826880698171577/520993435223417 -178221862712841/1041986870446834 4715242035608302/520993435223417 -1668611736795700/520993435223417 106407745341877/1041986870446834 -3126135675920346/520993435223417] [-10615193506278001/5209934352234170 15411340124700641/5209934352234170 967614142219571/2083973740893668 18908735720910629/5209934352234170 -21792645529991171/10419868704468340 5737988820623071/1041986870446834 -3907293427347458/2604967176117085 -3935204360820209/5209934352234170 -11911489609979279/10419868704468340 3270913917094279/2604967176117085 -18926652326313637/2604967176117085 14386325666589593/2083973740893668 65756434414556727/10419868704468340 18945182037610678/2604967176117085 3445313089986073/1041986870446834 -74410451255609811/5209934352234170 44475709096583483/10419868704468340 -13928726666138163/5209934352234170 -19530413123161039/10419868704468340 -9333798420686211/10419868704468340 3073893888889744/520993435223417 -10326227680611678/2604967176117085 1315537626772472/2604967176117085 -6011207188097885/520993435223417 148978401312174667/10419868704468340 -4602882678318063/2604967176117085 -9198417869849665/1041986870446834 15572283073466322/2604967176117085 89467810432879759/10419868704468340 -4937373751623336/520993435223417 -435220984101633/801528361882180 -69713554914367529/5209934352234170 6621277940024213/1041986870446834 -8987454322573469/5209934352234170 -13207145379793764/2604967176117085 3067384805414571/10419868704468340 7532803618938989/2604967176117085 -6933591023151893/5209934352234170 -28795356829806643/1041986870446834 1571377959660303/5209934352234170 48455641731217714/2604967176117085 -3706335786304786/520993435223417 2566254143441177/10419868704468340 -29039241239299677/2604967176117085] [7446973288456504/2604967176117085 -10826524587122384/2604967176117085 -566799600900291/1041986870446834 -24480223559223867/5209934352234170 452449449946011/153233363301005 -3984285928486504/520993435223417 4628756392598324/2604967176117085 2891383953597766/2604967176117085 4374422755092803/2604967176117085 -285259679478746/153233363301005 26104424300084136/2604967176117085 -4914112383185729/520993435223417 -23115028287056569/2604967176117085 -25829845610832574/2604967176117085 -137292088650528/30646672660201 53129496871883624/2604967176117085 -15844158089820351/2604967176117085 8722021024897287/2604967176117085 6556231585563553/2604967176117085 138621132181437/306466726602010 -4371481515305609/520993435223417 28774409853273163/5209934352234170 -2939404098111736/2604967176117085 8551633493331249/520993435223417 -50299487218748809/2604967176117085 5543328904348514/2604967176117085 6379560286544658/520993435223417 -22759435293967256/2604967176117085 -33096442029054423/2604967176117085 403490732649517/30646672660201 -119359499281369/200382090470545 48607313298853026/2604967176117085 -4473411385036836/520993435223417 7433071779511656/2604967176117085 1192529074837771/153233363301005 1963942714620403/2604967176117085 -11330798463247307/2604967176117085 4553016830027487/2604967176117085 39499407285076157/1041986870446834 -12299768274961/153233363301005 -68691125522544672/2604967176117085 4943817774936056/520993435223417 -2106206204425503/5209934352234170 38747690621682321/2604967176117085] [1205808010082687/1041986870446834 -1705531004422243/1041986870446834 -536450584803947/2083973740893668 -1002673537924046/520993435223417 153938613169971/122586690640804 -3065018479859163/1041986870446834 373337162692407/520993435223417 564534339059329/1041986870446834 1105369072037005/2083973740893668 -23487472518856/30646672660201 2135265234782916/520993435223417 -8523986355678399/2083973740893668 -7046807839604749/2083973740893668 -4365203102260723/1041986870446834 -59411422302554/30646672660201 8765001069010197/1041986870446834 -3855828054659839/2083973740893668 1476557431645649/1041986870446834 1601973343754117/2083973740893668 -2393243269541/122586690640804 -1793218783154622/520993435223417 1993303353816225/1041986870446834 -398591955107275/520993435223417 3273627296662946/520993435223417 -16618546523020579/2083973740893668 436378781156047/520993435223417 5477120654061207/1041986870446834 -1532155467895217/520993435223417 -10054511297170907/2083973740893668 172516414622926/30646672660201 11938113799323/160305672376436 7794705606630893/1041986870446834 -4168247842352599/1041986870446834 1516637379497837/1041986870446834 86918667139818/30646672660201 -713687936971559/2083973740893668 -905493074430652/520993435223417 1019875091772669/1041986870446834 16132399051317125/1041986870446834 -7651621723567/61293345320402 -5631577210359370/520993435223417 2176939080927772/520993435223417 -1223865190163697/2083973740893668 3383804413784394/520993435223417] [9749676193809517/10419868704468340 -7482597504778931/5209934352234170 -583858172851955/2083973740893668 -14466729483915783/10419868704468340 5324672209603683/5209934352234170 -2198066572299227/1041986870446834 1739772752931638/2604967176117085 1711301749798172/2604967176117085 3299243169342709/10419868704468340 -3098834586139293/5209934352234170 16934782737155409/5209934352234170 -7561288768114173/2083973740893668 -14324236268877921/5209934352234170 -8327672456899168/2604967176117085 -2745430298623227/2083973740893668 61755311438305047/10419868704468340 -17403955641377333/10419868704468340 3101872225891464/2604967176117085 7590795731708349/10419868704468340 390065483001734/2604967176117085 -71496332497190/30646672660201 8007956792466661/5209934352234170 -1789606749932429/5209934352234170 2203515059943727/520993435223417 -2129766086568163/306466726602010 5424066612022171/5209934352234170 7915073694201143/2083973740893668 -5033496818351252/2604967176117085 -39967783397073979/10419868704468340 4452203891492939/1041986870446834 514631229375719/400764180941090 31383950126379979/5209934352234170 -3203503908611837/1041986870446834 1987403320630137/2604967176117085 5603350340866744/2604967176117085 -2970691948614971/10419868704468340 -4553200928641873/5209934352234170 4828534211859603/5209934352234170 26214200758876661/2083973740893668 -1184303364488453/5209934352234170 -20826912729388574/2604967176117085 102085434046820/30646672660201 -1070236263836771/5209934352234170 27923987164048829/5209934352234170] [4137414545423879/2604967176117085 -5850279517828504/2604967176117085 -162530761509322/520993435223417 -7754239326831161/2604967176117085 4024108514702857/2604967176117085 -4281701620221003/1041986870446834 313390205682869/306466726602010 797408055171866/2604967176117085 2209639771865258/2604967176117085 -2094856130000097/2604967176117085 28224961885371127/5209934352234170 -2541166474924166/520993435223417 -12041968038271109/2604967176117085 -839102742804412/153233363301005 -1302945653838048/520993435223417 28662594368763984/2604967176117085 -8518242335283001/2604967176117085 5640665039702857/2604967176117085 3762743337249018/2604967176117085 707065988676342/2604967176117085 -4646940765079993/1041986870446834 7231660616260064/2604967176117085 -2812579521686267/5209934352234170 4385214868752339/520993435223417 -27711439591801889/2604967176117085 7881776591506603/5209934352234170 3429718374326149/520993435223417 -647922803626038/153233363301005 -15217769583537173/2604967176117085 3536806981781748/520993435223417 12228298035521/200382090470545 26146064916301156/2604967176117085 -2373117692695650/520993435223417 5604057600728267/5209934352234170 10194521151177912/2604967176117085 246905968394363/2604967176117085 -14791265228504029/5209934352234170 1162006356807707/2604967176117085 10392766220209637/520993435223417 -1294416129000909/5209934352234170 -73149526143975389/5209934352234170 2560339192626132/520993435223417 -1579481698873994/2604967176117085 45609998627354687/5209934352234170] [-365833659914475/61293345320402 525496746301305/61293345320402 2546378229993627/2083973740893668 626970937924319/61293345320402 -12859968713822161/2083973740893668 16221109548290691/1041986870446834 -2125839840577006/520993435223417 -134364860184543/61293345320402 -6616253050851163/2083973740893668 1851274599995066/520993435223417 -10844507959438118/520993435223417 41683493700229137/2083973740893668 2191552019308669/122586690640804 11013476249323530/520993435223417 9891117281781103/1041986870446834 -2554976360994121/61293345320402 25232905785978289/2083973740893668 -7837629828666629/1041986870446834 -11508816338748773/2083973740893668 -2675488891306435/2083973740893668 8861339679949273/520993435223417 -5616630724977502/520993435223417 692296269122368/520993435223417 -17080713579278236/520993435223417 86491542503029561/2083973740893668 -162459519395863/30646672660201 -26663889882520283/1041986870446834 8673990485467884/520993435223417 50902832182588181/2083973740893668 -14162290513532137/520993435223417 -134315164211881/160305672376436 -2327391931007729/61293345320402 18689541555420499/1041986870446834 -5968500502264077/1041986870446834 -8016055321942841/520993435223417 -749320103329465/2083973740893668 4627222677456677/520993435223417 -3802309443410703/1041986870446834 -81937370998503849/1041986870446834 671861830760365/1041986870446834 28245749003563813/520993435223417 -10266656410774436/520993435223417 175026474423523/122586690640804 -17105898679791419/520993435223417] [61266604903117451/10419868704468340 -43455332614174913/5209934352234170 -2572214091718981/2083973740893668 -102044137266313769/10419868704468340 31497731690625689/5209934352234170 -15424331012160131/1041986870446834 9933094356271119/2604967176117085 6690843866616811/2604967176117085 32205778585581737/10419868704468340 -19073173012724449/5209934352234170 105813061295952667/5209934352234170 -41229161079837011/2083973740893668 -89723793543259623/5209934352234170 -53424723629139584/2604967176117085 -19346021719114237/2083973740893668 429081142095133001/10419868704468340 -123292393390698249/10419868704468340 18796089692890112/2604967176117085 55582455780725347/10419868704468340 8137128970137799/5209934352234170 -8706988209488639/520993435223417 26849510519014849/2604967176117085 -12438566015053287/5209934352234170 16391985600101269/520993435223417 -211669935272050513/5209934352234170 24334215398211583/5209934352234170 53817000241260129/2083973740893668 -40776491764901366/2604967176117085 -245322477036896247/10419868704468340 27848877487154115/1041986870446834 395792044527977/400764180941090 190350009009342647/5209934352234170 -18562291823725291/1041986870446834 15890941913286951/2604967176117085 38440017016604902/2604967176117085 -2461716355605813/10419868704468340 -45423470097663809/5209934352234170 20289687810146869/5209934352234170 160689209283547019/2083973740893668 -2418877130083019/5209934352234170 -139663015530790412/2604967176117085 20604978593907159/1041986870446834 -9973444095691493/5209934352234170 170191056146485927/5209934352234170] [21026408136250611/5209934352234170 -29391388217228521/5209934352234170 -808864500783837/1041986870446834 -34682691710792889/5209934352234170 11064339573538164/2604967176117085 -10552700615203041/1041986870446834 13944635915609751/5209934352234170 4604624958528197/2604967176117085 10648720805847907/5209934352234170 -13234349514227473/5209934352234170 36197717712178617/2604967176117085 -14584607790619663/1041986870446834 -31008851161169333/2604967176117085 -36601688917607938/2604967176117085 -6675541560321571/1041986870446834 146139418721456371/5209934352234170 -42577564247794779/5209934352234170 13196706928688379/2604967176117085 17510433313349577/5209934352234170 1592243184087014/2604967176117085 -12068208417560981/1041986870446834 18009236770527603/2604967176117085 -4958849942505377/2604967176117085 22372028095423803/1041986870446834 -72750867962899268/2604967176117085 19073835327290881/5209934352234170 1070766623625363/61293345320402 -57195586678457109/5209934352234170 -86575745895801897/5209934352234170 9583198146401868/520993435223417 172758077595777/200382090470545 65075538437999432/2604967176117085 -6395792869784847/520993435223417 10479699128808407/2604967176117085 53316758195552573/5209934352234170 945899607580957/5209934352234170 -1622707383789039/306466726602010 7832026703753504/2604967176117085 55527798706021205/1041986870446834 -979954181464509/2604967176117085 -94239537462428044/2604967176117085 7325953506139351/520993435223417 -2813368167319678/2604967176117085 116038206744557559/5209934352234170] [-86866424560216583/10419868704468340 30382194981852427/2604967176117085 1697357685138823/1041986870446834 147884131652102577/10419868704468340 -86692476034568649/10419868704468340 10933050952578479/520993435223417 -14152257021212977/2604967176117085 -17494539957091121/5209934352234170 -22749764012367923/5209934352234170 26112902412727207/5209934352234170 -148436721474395631/5209934352234170 28826968291634259/1041986870446834 254031332346291313/10419868704468340 74802578164515062/2604967176117085 26973091502133445/2083973740893668 -602097859283538263/10419868704468340 86383844155921441/5209934352234170 -52052230309624027/5209934352234170 -37249954463519523/5209934352234170 -23208477357140099/10419868704468340 12153546111808726/520993435223417 -37990731547468217/2604967176117085 849894725882953/306466726602010 -23342431810814821/520993435223417 594430693290024793/10419868704468340 -35948108137577419/5209934352234170 -75123941117187441/2083973740893668 60188217353168173/2604967176117085 175548043464641033/5209934352234170 -39295525644386443/1041986870446834 -712378853290537/801528361882180 -135139017573525993/2604967176117085 12868242972336122/520993435223417 -44470737871383121/5209934352234170 -55272365437111201/2604967176117085 -1108498372800453/5209934352234170 62327979815416587/5209934352234170 -14521167600671746/2604967176117085 -225806511768179331/2083973740893668 2033551730523306/2604967176117085 195674611206392796/2604967176117085 -14293783031517640/520993435223417 20581150034949273/10419868704468340 -235472126203040731/5209934352234170] [15515082526524741/10419868704468340 -10738984389442363/5209934352234170 -706375832326451/2083973740893668 -26375335499015759/10419868704468340 8097856414095839/5209934352234170 -3782616935009815/1041986870446834 2393873470263609/2604967176117085 2347541259036336/2604967176117085 6534585658226877/10419868704468340 -5285215907200139/5209934352234170 25898441357708617/5209934352234170 -11141721998258671/2083973740893668 -22119887100190213/5209934352234170 -27185933321982713/5209934352234170 -4577225608502931/2083973740893668 103469304859243431/10419868704468340 -26666575588150799/10419868704468340 4406377906750702/2604967176117085 14083058070257557/10419868704468340 313884176677969/5209934352234170 -2198553227510431/520993435223417 12643157031570953/5209934352234170 -2227078982836317/5209934352234170 4035365203222285/520993435223417 -55856090920404323/5209934352234170 6961754437091983/5209934352234170 13117514747600343/2083973740893668 -9499305096810611/2604967176117085 -65048663384899147/10419868704468340 7134585134197687/1041986870446834 235233173609907/400764180941090 46330178131263817/5209934352234170 -4912387248747809/1041986870446834 4561984600130601/2604967176117085 8586948512483027/2604967176117085 1703798242791597/10419868704468340 -8772218486525989/5209934352234170 7410021260715409/5209934352234170 41490935949408125/2083973740893668 -450857460029419/5209934352234170 -33880145025112207/2604967176117085 2722369246284076/520993435223417 -1508331741094174/2604967176117085 44893308095837067/5209934352234170] [-17408322430150373/5209934352234170 23402095789973713/5209934352234170 592783007781437/1041986870446834 27092386391174487/5209934352234170 -8708227443986387/2604967176117085 8347723782662857/1041986870446834 -10474277655202723/5209934352234170 -4509004246865771/2604967176117085 -8325633934593931/5209934352234170 5495635875932077/2604967176117085 -58797818880768317/5209934352234170 11973509535825011/1041986870446834 24859023681955469/2604967176117085 29553106182004144/2604967176117085 5321093231744143/1041986870446834 -119231098708993733/5209934352234170 33265130886550677/5209934352234170 -10531405678555687/2604967176117085 -13022517495848231/5209934352234170 -2284071805490532/2604967176117085 5124248689257064/520993435223417 -14069824268485759/2604967176117085 4998382843335071/2604967176117085 -17798017137966551/1041986870446834 58742404954460879/2604967176117085 -7136155846666489/2604967176117085 -15333027676838739/1041986870446834 22250132748431576/2604967176117085 69641609028183581/5209934352234170 -15735541856997205/1041986870446834 -125545497174871/200382090470545 -104967526726278417/5209934352234170 10365292305082471/1041986870446834 -19859171147283777/5209934352234170 -43589478026646889/5209934352234170 -2141581237753601/5209934352234170 11146703700372687/2604967176117085 -7108266122851962/2604967176117085 -44877983941454225/1041986870446834 451993199716817/2604967176117085 154553901851849079/5209934352234170 -6103850020378438/520993435223417 3566286648540069/2604967176117085 -47505837012761341/2604967176117085] [13823132465005231/2604967176117085 -19202949703042941/2604967176117085 -549779408368256/520993435223417 -23750492379083219/2604967176117085 14247355058164113/2604967176117085 -7195188207484861/520993435223417 8616475074767726/2604967176117085 9340487977946923/5209934352234170 7200238653008457/2604967176117085 -8439423016850958/2604967176117085 95843849305753533/5209934352234170 -9157606341962833/520993435223417 -40703971493333621/2604967176117085 -48116313501825046/2604967176117085 -4388679991769106/520993435223417 97055129126201406/2604967176117085 -28128461484647149/2604967176117085 16933955148353083/2604967176117085 11692382028361337/2604967176117085 2355701185909073/2604967176117085 -8031976940424524/520993435223417 24882911679511426/2604967176117085 -8719656770041213/5209934352234170 30736251413301553/1041986870446834 -95517080104554036/2604967176117085 22938162368653607/5209934352234170 696719092189816/30646672660201 -75619502433866033/5209934352234170 -57217888264872782/2604967176117085 25335767723337657/1041986870446834 5950250399819/200382090470545 173200797822600033/5209934352234170 -8251485722241084/520993435223417 28434479631790613/5209934352234170 70088996725451181/5209934352234170 783658287801302/2604967176117085 -1258793761127494/153233363301005 9206818609773053/2604967176117085 36424168943723923/520993435223417 -1791735443850588/2604967176117085 -253381305275666241/5209934352234170 9168901884145844/520993435223417 -2542752421597996/2604967176117085 75409196228909704/2604967176117085] [53319940916439533/10419868704468340 -18123202931666982/2604967176117085 -494771396153341/520993435223417 -89628872177698427/10419868704468340 53314482289908969/10419868704468340 -6556853064315546/520993435223417 8073078965424462/2604967176117085 10807841077845761/5209934352234170 12886995958708143/5209934352234170 -16173871386953637/5209934352234170 89817063193897041/5209934352234170 -17816530407060115/1041986870446834 -151988712564040863/10419868704468340 -45544761042936742/2604967176117085 -16510984881594687/2083973740893668 366702083957783143/10419868704468340 -51702901512375041/5209934352234170 30481767881983627/5209934352234170 21042390838188043/5209934352234170 11424064264368469/10419868704468340 -7455676534428779/520993435223417 46276154762563139/5209934352234170 -608948546111833/306466726602010 14171934068945960/520993435223417 -358512541418777743/10419868704468340 19199546521662899/5209934352234170 46707443069424123/2083973740893668 -34966055702548423/2604967176117085 -105808327754287173/5209934352234170 24106880318858033/1041986870446834 84788033906247/801528361882180 80835465232031478/2604967176117085 -7901998079257240/520993435223417 29566005093205301/5209934352234170 32323764339489741/2604967176117085 2706031421061513/5209934352234170 -39348740366361107/5209934352234170 9032152177573701/2604967176117085 137282726045918753/2083973740893668 -369902239719301/2604967176117085 -118685706631985381/2604967176117085 8857426368728178/520993435223417 -20577669219459503/10419868704468340 146720695834114911/5209934352234170] Compute T^*/(T^* meet WT^*). (1.641 s to compute intersection) (0.049 s to compute quotient) (1.879 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/68 + Z/10419868704468340 Defined on 15 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 68*M.14 = 0 10419868704468340*M.15 = 0 Time: 7.040 > factor(2604967176117085); [ <5, 1>, <13, 1>, <17, 1>, <29, 1>, <79, 1>, <251, 1>, <4099597, 1> ] 1 > time S, M := S1F2(179); Compute a basis of q-expansions for S_2(Gamma_0(2*179))^new. (3.799 s). (0.41 s). Compute matrix of W2 with respect to B. (0.121 s). Compute a saturated integral basis BZ for S2N. (0.089 s). Compute the change-of-basis matrix from B to BZ. (0.49 s). Compute the matrix of W2 with respect to BZ. (0.089 s). W2Z = [-12730110934506584/2604967176117085 20416716011390824/2604967176117085 516854574025922/520993435223417 21526471383555351/2604967176117085 -12845066579956407/2604967176117085 6469103713398519/520993435223417 -8103755269648734/2604967176117085 -2008829615125936/2604967176117085 -6514918002444873/2604967176117085 15797319485478669/5209934352234170 -86618940529752157/5209934352234170 8218391667502018/520993435223417 37335293158830794/2604967176117085 44778883777578724/2604967176117085 4218663191418781/520993435223417 -89346594805785559/2604967176117085 26454140009021456/2604967176117085 -15306879498231157/2604967176117085 -9633994199544528/2604967176117085 -3439614229014292/2604967176117085 15408254226464135/1041986870446834 -22434262517330914/2604967176117085 5081096463391776/2604967176117085 -13621049063773829/520993435223417 85699381472107909/2604967176117085 -21485805489733033/5209934352234170 -11176711304559818/520993435223417 71159832159411527/5209934352234170 3045443610555589/153233363301005 -23244863215342017/1041986870446834 28749049187254/200382090470545 -155273906965915787/5209934352234170 14887636584826283/1041986870446834 -28962913589160377/5209934352234170 -31169517342814887/2604967176117085 -365488216292688/2604967176117085 37428740838344019/5209934352234170 -9883618532947957/2604967176117085 -33487321819723365/520993435223417 -159231278427763/2604967176117085 13414885746221517/306466726602010 -8826559633632967/520993435223417 4116212361705659/2604967176117085 -135595224958213677/5209934352234170] [-5192186223436443/5209934352234170 10792773127715953/5209934352234170 492941847818217/2083973740893668 16449079416131027/5209934352234170 -13844231640588203/10419868704468340 3837951301146967/1041986870446834 -2633876946116604/2604967176117085 -2982963283378627/5209934352234170 -6797074980559637/10419868704468340 2555067775515992/2604967176117085 -12293786757583321/2604967176117085 10433094547145691/2083973740893668 43103752650727391/10419868704468340 26530187340743163/5209934352234170 2278161329099719/1041986870446834 -50967592129449213/5209934352234170 26928616525991489/10419868704468340 -8115915705282999/5209934352234170 -15806086096829477/10419868704468340 -9852697035252523/10419868704468340 1897684841492734/520993435223417 -12637973103206913/5209934352234170 446848478866001/2604967176117085 -4306217659218889/520993435223417 103212001877826651/10419868704468340 -3307198359891364/2604967176117085 -3241042985355808/520993435223417 9391455123376671/2604967176117085 3542405292568301/612933453204020 -3478294747167798/520993435223417 71315712871551/801528361882180 -48992502245893027/5209934352234170 4028289690495273/1041986870446834 -9116102035322807/5209934352234170 -10168018942143897/2604967176117085 525028682063463/10419868704468340 5734506332435357/2604967176117085 -6147368735849409/5209934352234170 -9533012904910031/520993435223417 -400565486458691/5209934352234170 2005918881832301/153233363301005 -4770695115340443/1041986870446834 1724274596894211/10419868704468340 -20147275991485971/2604967176117085] [-19772096092092117/5209934352234170 13657542244442236/2604967176117085 396110090971344/520993435223417 32717146417823133/5209934352234170 -19724027040512571/5209934352234170 11376846065610787/1041986870446834 -10888842052799917/5209934352234170 -5846651499972003/5209934352234170 -5401400450764237/2604967176117085 6170295537363703/2604967176117085 -35052351651547704/2604967176117085 6612654066913566/520993435223417 57997967143799877/5209934352234170 34312285862151816/2604967176117085 6114014982213329/1041986870446834 -144237284071702257/5209934352234170 20825605666808259/2604967176117085 -11785647293761773/2604967176117085 -7588051240421792/2604967176117085 -4123957887130221/5209934352234170 11458327953561443/1041986870446834 -18878172491347371/2604967176117085 3466611861834324/2604967176117085 -21062191258715391/1041986870446834 136711663427474737/5209934352234170 -6911682692462281/2604967176117085 -17559119866757219/1041986870446834 54198883978343873/5209934352234170 40290560310937332/2604967176117085 -18276345031550589/1041986870446834 -10816050600653/400764180941090 -124790955679810543/5209934352234170 5897090105004561/520993435223417 -11067092942484649/2604967176117085 -54013497322584331/5209934352234170 -2331697106241682/2604967176117085 29745995779897641/5209934352234170 -7150696575152718/2604967176117085 -52248106608949371/1041986870446834 943101900313011/5209934352234170 89405005189801188/2604967176117085 -6799511889907610/520993435223417 9687874468058057/5209934352234170 -107052244604351773/5209934352234170] [-8925961322567007/5209934352234170 7236560007440896/2604967176117085 428752658266609/1041986870446834 13544052464943113/5209934352234170 -4753363617403428/2604967176117085 4870861601706775/1041986870446834 -6021158140595257/5209934352234170 -1286768540583979/2604967176117085 -5247438481143239/5209934352234170 2592163418458563/2604967176117085 -31953163899736383/5209934352234170 5981431309397467/1041986870446834 13996521399838896/2604967176117085 15239400138979866/2604967176117085 2870787883687913/1041986870446834 -65583678502497367/5209934352234170 19136665244540573/5209934352234170 -6026705331878853/2604967176117085 -7506874071340219/5209934352234170 -1709815210572223/2604967176117085 5494636011700117/1041986870446834 -8813120815270191/2604967176117085 4458450409658763/5209934352234170 -5182739449102287/520993435223417 31408765083979481/2604967176117085 -7816328525159237/5209934352234170 -7904537019811161/1041986870446834 12705907020651424/2604967176117085 41486045331090599/5209934352234170 -4192267619211838/520993435223417 -117600498801749/200382090470545 -28592564372435074/2604967176117085 2797462056912041/520993435223417 -7611662906643083/5209934352234170 -12330103658604728/2604967176117085 -3753165677374169/5209934352234170 10271171782316941/5209934352234170 -2987711614802653/2604967176117085 -24568557898995433/1041986870446834 3012185603746061/5209934352234170 82309925606515151/5209934352234170 -3199170268366486/520993435223417 309054240561851/2604967176117085 -48665292569032053/5209934352234170] [-27018861326951549/5209934352234170 18456992693198457/2604967176117085 1072361089162887/1041986870446834 44716317890641381/5209934352234170 -13789442989767501/2604967176117085 13259741437045359/1041986870446834 -16117225561816939/5209934352234170 -6860358080351248/2604967176117085 -13880394123757333/5209934352234170 11109047025220941/2604967176117085 -92156313682668541/5209934352234170 18419075996083195/1041986870446834 38166129295769602/2604967176117085 45576444647796862/2604967176117085 8398118153896265/1041986870446834 -184757945513122569/5209934352234170 51858610507077421/5209934352234170 -15796666175019696/2604967176117085 -19052501678855843/5209934352234170 -3166769318121621/2604967176117085 14967751339983361/1041986870446834 -23012607753358512/2604967176117085 11081891080542781/5209934352234170 -14271808618919191/520993435223417 92346455454616362/2604967176117085 -20856380787262339/5209934352234170 -24373179443002957/1041986870446834 35147942691041758/2604967176117085 106771160751655043/5209934352234170 -12286014483781403/520993435223417 -3368232739069/11787181792385 -80714939691332458/2604967176117085 7813610883930120/520993435223417 -29150809135987651/5209934352234170 -33406352550511366/2604967176117085 -2595893567789993/5209934352234170 35002611933623667/5209934352234170 -10662569162311331/2604967176117085 -69244701959537993/1041986870446834 7748477534682217/5209934352234170 238296622689222977/5209934352234170 -8959440641679624/520993435223417 5003654569189647/2604967176117085 -149191977381584781/5209934352234170] [-18249927249063753/10419868704468340 6120169503219212/2604967176117085 886358597534091/1041986870446834 32672471863514877/10419868704468340 -18398922177899989/10419868704468340 2475462086985482/520993435223417 -3169090079928907/2604967176117085 -2913097839710411/5209934352234170 -4416976063123323/5209934352234170 5565955089622277/5209934352234170 -32200158144770581/5209934352234170 6340372789651491/1041986870446834 56106962290009483/10419868704468340 32107350836735429/5209934352234170 5940140391424713/2083973740893668 -133484167467518123/10419868704468340 18444982751824121/5209934352234170 -11460599493610867/5209934352234170 -7591386208763303/5209934352234170 -6642298178575889/10419868704468340 2676639164075618/520993435223417 -16669357647821329/5209934352234170 1261222138040281/5209934352234170 -5347472209679408/520993435223417 122618553672163933/10419868704468340 -7364770797055169/5209934352234170 -15377317262109541/2083973740893668 12693869409987333/2604967176117085 37068063718764433/5209934352234170 -8411239327129941/1041986870446834 17339961822219/47148727169540 -27434912089144223/2604967176117085 2705477769993993/520993435223417 -10052900746192381/5209934352234170 -11135935940311756/2604967176117085 -1302802612097739/2604967176117085 15819953539221857/5209934352234170 -1951263775993351/2604967176117085 -48701620812957023/2083973740893668 -945130329256809/2604967176117085 41253635940838461/2604967176117085 -6045602568647319/1041986870446834 5989513774628803/10419868704468340 -45569593410795991/5209934352234170] [12115665874816471/5209934352234170 -15600369348439791/5209934352234170 -627888727875061/2083973740893668 -19840493612170979/5209934352234170 25230128215233831/10419868704468340 -6006769849190323/1041986870446834 4022969739208083/2604967176117085 3908620322864979/5209934352234170 9130427293883999/10419868704468340 -4265556819952709/2604967176117085 20695333315881777/2604967176117085 -16541367924308191/2083973740893668 -70912127242968507/10419868704468340 -35926510316206941/5209934352234170 -1918295791517627/520993435223417 82113378877803461/5209934352234170 -43193869420167173/10419868704468340 13472636138613243/5209934352234170 23793141092767799/10419868704468340 4585313376996501/10419868704468340 -201622543082450/30646672660201 10031316416248458/2604967176117085 -2650768398668772/2604967176117085 6491443015909453/520993435223417 -9679480774192461/612933453204020 5298609695638383/2604967176117085 5378130563387083/520993435223417 -16134666070254692/2604967176117085 -97530478437715689/10419868704468340 5610929697773909/520993435223417 -101323205608987/801528361882180 72570125337997879/5209934352234170 -7416982971963341/1041986870446834 14629595392962319/5209934352234170 14119307163410144/2604967176117085 1966430698828829/10419868704468340 -8911096360894164/2604967176117085 8743916289780393/5209934352234170 31503630671713665/1041986870446834 -1518328726198053/5209934352234170 -54772952418949514/2604967176117085 245311948588326/30646672660201 -14769935176678127/10419868704468340 32622749085924342/2604967176117085] [4647109896719053/10419868704468340 -718540816462712/2604967176117085 12147194095545/1041986870446834 -6004850625886427/10419868704468340 2586256037436999/10419868704468340 -461908457075157/520993435223417 237251154110142/2604967176117085 -789991692257019/5209934352234170 239753425164583/5209934352234170 -1085444623414797/5209934352234170 4437602389744761/5209934352234170 -1266176609449451/1041986870446834 -8690848627750503/10419868704468340 -5238517882355959/5209934352234170 -892872240994433/2083973740893668 22293661778866293/10419868704468340 -1981906464013381/5209934352234170 119799791151607/5209934352234170 2339606343268303/5209934352234170 3106077166753059/10419868704468340 -418429599789023/520993435223417 1507680480843339/5209934352234170 -430882324263161/5209934352234170 1104559810391075/520993435223417 -19222783163723713/10419868704468340 1838439918513409/5209934352234170 2130294248326665/2083973740893668 -1912958544702293/2604967176117085 -7841967318972153/5209934352234170 959365036994805/1041986870446834 -6085427164239/47148727169540 3868225670905743/2604967176117085 -252530415956028/520993435223417 874420900233851/5209934352234170 886772204546366/2604967176117085 266469590819259/2604967176117085 -275391036452307/5209934352234170 1363836764101751/2604967176117085 7212587811962801/2083973740893668 -128690386254766/2604967176117085 -5514627423241106/2604967176117085 609481229742731/1041986870446834 1249296489018267/10419868704468340 5394620414491181/5209934352234170] [-54594064803669/89826454348865 65215588925189/89826454348865 172725214355/2113563631738 93949832546231/89826454348865 -130630714707949/179652908697730 3133939706763/2113563631738 -42439026451324/89826454348865 -65776707057267/179652908697730 -37633579008391/179652908697730 31570922354797/89826454348865 -190837752337061/89826454348865 4630820316543/2113563631738 321654708490033/179652908697730 197226049193689/89826454348865 15735434091889/17965290869773 -413339711318964/89826454348865 12584825772191/10567818158690 73478405340901/179652908697730 -29541221079801/179652908697730 -18085826610229/179652908697730 77966148629939/35930581739546 -64621168958634/89826454348865 64242386640197/179652908697730 -3404711315001/1056781815869 764598265546443/179652908697730 -126358242730833/179652908697730 -47128628788989/17965290869773 89624774419171/89826454348865 331519103357061/179652908697730 -55954974917704/17965290869773 -4964455570667/13819454515210 -318601248981846/89826454348865 71892948915553/35930581739546 -6624025967231/10567818158690 -343675702035649/179652908697730 -3204821042451/179652908697730 120716805203229/179652908697730 -132723330528709/179652908697730 -8368417205195/1056781815869 10565972121329/179652908697730 534508033753892/89826454348865 -40873553009457/17965290869773 -389752041947/179652908697730 -766662426952977/179652908697730] [18714060976819817/5209934352234170 -25939386978048607/5209934352234170 -1620131397580903/2083973740893668 -16282364445876244/2604967176117085 42717722408701377/10419868704468340 -9514328894218363/1041986870446834 6125104645862791/2604967176117085 6768704787346023/5209934352234170 20249334886366023/10419868704468340 -5837487706957003/2604967176117085 31387501732111709/2604967176117085 -24675091750537201/2083973740893668 -108843046473006919/10419868704468340 -63570589122498297/5209934352234170 -2855624230978566/520993435223417 64272225542210971/2604967176117085 -73278471243097131/10419868704468340 22415080602769701/5209934352234170 34435026302099783/10419868704468340 16976831114438167/10419868704468340 -5166316229538075/520993435223417 33643681285027407/5209934352234170 -162324710757617/153233363301005 10010051794550785/520993435223417 -254264767043869849/10419868704468340 7518476155437171/2604967176117085 7782176684278496/520993435223417 -26133420291968089/2604967176117085 -154575367948093763/10419868704468340 8273606273125565/520993435223417 281648547255531/801528361882180 115134867413737563/5209934352234170 -11219927660456243/1041986870446834 18998465561827803/5209934352234170 23530379942786758/2604967176117085 -2005056529234477/10419868704468340 -12875048582814138/2604967176117085 10999554052578951/5209934352234170 24221899733917282/520993435223417 -1298633838282871/5209934352234170 -83910884082170233/2604967176117085 11936787603420253/1041986870446834 -3180997748368469/10419868704468340 50353500353666889/2604967176117085] [1827852093735653/1041986870446834 -2536467866647323/1041986870446834 -863463544343057/2083973740893668 -2844268450361925/1041986870446834 3424294456739089/2083973740893668 -4734975197131383/1041986870446834 659150539417868/520993435223417 794391309880963/1041986870446834 1676585767637855/2083973740893668 -699214151507787/520993435223417 2985795630363041/520993435223417 -12068093642335219/2083973740893668 -10133250698516837/2083973740893668 -3085854797881600/520993435223417 -1502255371797298/520993435223417 12569271828987859/1041986870446834 -6745507759534269/2083973740893668 2309563721987641/1041986870446834 2893438487262111/2083973740893668 1176177805483315/2083973740893668 -2730395255499917/520993435223417 4118288402043227/1041986870446834 -556850135901521/520993435223417 5023000313472728/520993435223417 -24628608983059907/2083973740893668 761714392819109/520993435223417 8015497752160413/1041986870446834 -2224860445448546/520993435223417 -14594427186714201/2083973740893668 4208895035161363/520993435223417 68175940868747/160305672376436 10775835661060667/1041986870446834 -353821501712495/61293345320402 2284460802864135/1041986870446834 2336831789537832/520993435223417 -1876429455910221/2083973740893668 -1590932145868929/520993435223417 1602407405311611/1041986870446834 11647114845890988/520993435223417 88146508310927/1041986870446834 -8720677982059703/520993435223417 6127303968699053/1041986870446834 -274613831116667/2083973740893668 5162347285492451/520993435223417] [-38731395452388931/5209934352234170 27564644137964248/2604967176117085 1578950106274835/1041986870446834 64637794382542869/5209934352234170 -19632322805445644/2604967176117085 19924218931567215/1041986870446834 -25306305329911491/5209934352234170 -16817164940028759/5209934352234170 -20788457370905607/5209934352234170 23636396224966593/5209934352234170 -7834688158899547/306466726602010 25757931119877419/1041986870446834 56667988264452143/2604967176117085 67129941093417658/2604967176117085 12088476006917197/1041986870446834 -268922589774120301/5209934352234170 77843833010664529/5209934352234170 -23645279858074469/2604967176117085 -32901658531851947/5209934352234170 -5909398669481289/2604967176117085 10891273358462676/520993435223417 -2007771475679549/153233363301005 5999571306224072/2604967176117085 -42095454678774921/1041986870446834 133133289669727488/2604967176117085 -31965368823445461/5209934352234170 -33988525284537125/1041986870446834 53493998361371242/2604967176117085 158902548699170147/5209934352234170 -17752713054709752/520993435223417 -38301199745617/200382090470545 -121223171959633767/2604967176117085 22691442768245053/1041986870446834 -40517258739695949/5209934352234170 -101327274551920223/5209934352234170 -799693446417287/5209934352234170 29270918853798539/2604967176117085 -12624013185365644/2604967176117085 -101706728181961939/1041986870446834 1812614927788603/5209934352234170 354413102527016343/5209934352234170 -12578427978520583/520993435223417 4654137659454258/2604967176117085 -6260107014740181/153233363301005] [-17508889434025536/2604967176117085 24501953170271591/2604967176117085 661580802108210/520993435223417 28321896748914794/2604967176117085 -18011916454655598/2604967176117085 9018292152034272/520993435223417 -23707790226821797/5209934352234170 -13706331287531673/5209934352234170 -9043298644787577/2604967176117085 11205650791988283/2604967176117085 -121289439114203603/5209934352234170 11695764938782285/520993435223417 52793146557431161/2604967176117085 61338703006341211/2604967176117085 5673313131122759/520993435223417 -122829633310373211/2604967176117085 35354513045335569/2604967176117085 -43237246536489081/5209934352234170 -14176538915356052/2604967176117085 -4828985004825053/2604967176117085 10172431215400882/520993435223417 -30903555705997236/2604967176117085 6947922976455259/2604967176117085 -19152966363870206/520993435223417 120475824579751376/2604967176117085 -12371720950459271/2604967176117085 -15168716588548543/520993435223417 48639675733945014/2604967176117085 4287160456715831/153233363301005 -16151888904174327/520993435223417 -177828777920779/200382090470545 -109442827381237089/2604967176117085 20293323144664517/1041986870446834 -17910980884217454/2604967176117085 -90957430022172931/5209934352234170 -2261810139699462/2604967176117085 25284177157797188/2604967176117085 -24442086708334501/5209934352234170 -46183712857575325/520993435223417 1387053877517913/2604967176117085 18731556353734973/306466726602010 -11982435700968316/520993435223417 5896465420585541/2604967176117085 -94752250548172059/2604967176117085] [3194129066324272/2604967176117085 -3856016291323272/2604967176117085 -134112812254609/520993435223417 -5676589944501413/2604967176117085 3261011275992911/2604967176117085 -3137164374289453/1041986870446834 2938321388595822/2604967176117085 916606511354588/2604967176117085 1235550021749184/2604967176117085 -2184422055241321/2604967176117085 20144225757748841/5209934352234170 -2200134466799548/520993435223417 -8566839614307732/2604967176117085 -10524100051730247/2604967176117085 -972223788739466/520993435223417 21683648506683902/2604967176117085 -5583790035322173/2604967176117085 6494744727889227/5209934352234170 137125569876652/153233363301005 630478574008906/2604967176117085 -3534151985347507/1041986870446834 4713084691160777/2604967176117085 -1639086150158328/2604967176117085 6774057712472777/1041986870446834 -21193685142653787/2604967176117085 1946073185500357/2604967176117085 2876592943923308/520993435223417 -13417016924400671/5209934352234170 -13730804361078029/2604967176117085 5751983108761597/1041986870446834 -51613530606732/200382090470545 36141512133574631/5209934352234170 -3754359906868859/1041986870446834 3958166434590133/2604967176117085 7753324085173216/2604967176117085 1189016625781489/2604967176117085 -6860160588872017/5209934352234170 360377250868181/306466726602010 8055320407483909/520993435223417 -1153235930196127/5209934352234170 -56974763267343637/5209934352234170 2148119348093747/520993435223417 -703761330694482/2604967176117085 33679820243772451/5209934352234170] [-5740825512796813/2604967176117085 16135963116282601/5209934352234170 184041270995331/520993435223417 9306610642118117/2604967176117085 -6048163806576299/2604967176117085 2951810141766152/520993435223417 -7565011668382621/5209934352234170 -2411993979472457/2604967176117085 -3147910066794256/2604967176117085 6573902739581083/5209934352234170 -41462016879371659/5209934352234170 4079956571158087/520993435223417 17678848025439568/2604967176117085 20778282826265288/2604967176117085 1855442235728274/520993435223417 -42627054379735888/2604967176117085 11645571273776627/2604967176117085 -15246743432242393/5209934352234170 -3560244632018461/2604967176117085 -1204039412592294/2604967176117085 3402472164685220/520993435223417 -10004599700506743/2604967176117085 2831714941109777/2604967176117085 -6277810561044044/520993435223417 41688225874132398/2604967176117085 -11360995084028771/5209934352234170 -307214253876606/30646672660201 14343328530125622/2604967176117085 24251730233732761/2604967176117085 -9663878879019413/1041986870446834 -15050486141132/200382090470545 -71675665325509979/5209934352234170 7091738118653971/1041986870446834 -6106485589265417/2604967176117085 -28262200554510623/5209934352234170 -234439388544306/2604967176117085 531613688944752/153233363301005 -9647972902600753/5209934352234170 -15519628093976144/520993435223417 1539851289847673/5209934352234170 106797227035850463/5209934352234170 -4269103622471691/520993435223417 2448106403695458/2604967176117085 -33594667920740452/2604967176117085] [3365717508029922/2604967176117085 -8254892856745989/5209934352234170 -258474487612435/1041986870446834 -6106378881421228/2604967176117085 6437659374582767/5209934352234170 -1574305141925092/520993435223417 2991764837281029/5209934352234170 1509774147276233/2604967176117085 3108440628339513/5209934352234170 -3465889571366267/5209934352234170 20207427844782661/5209934352234170 -3901667604930943/1041986870446834 -17027400998913749/5209934352234170 -10461275602339252/2604967176117085 -961525529636169/520993435223417 21277906765141097/2604967176117085 -12138752820728371/5209934352234170 5184905472940857/5209934352234170 5661770436142313/5209934352234170 257295811581737/5209934352234170 -1785142974422906/520993435223417 4771567287063082/2604967176117085 -1466552079977748/2604967176117085 3546531389796377/520993435223417 -41370245594158109/5209934352234170 3609310539557699/5209934352234170 2884691660628612/520993435223417 -8797572797039778/2604967176117085 -1539950251541189/306466726602010 5604685033157075/1041986870446834 -200097513584119/400764180941090 40602621572762991/5209934352234170 -3692221857464901/1041986870446834 4900222381703288/2604967176117085 14109797421865927/5209934352234170 1329542275768173/5209934352234170 -4299293103035206/2604967176117085 6050653907802557/5209934352234170 7978222853319456/520993435223417 -2995166265259577/5209934352234170 -3377951515931001/306466726602010 2089471489344142/520993435223417 -2942910465411739/5209934352234170 16953514407581558/2604967176117085] [25774165580019691/5209934352234170 -18340541994376103/2604967176117085 -513011186799568/520993435223417 -44073867664028199/5209934352234170 26501620269590513/5209934352234170 -13436643581127919/1041986870446834 17549964035269251/5209934352234170 9451653773762379/5209934352234170 7138331810614441/2604967176117085 -14887857622179433/5209934352234170 90392193146658709/5209934352234170 -8471478179925230/520993435223417 -77774209090839411/5209934352234170 -45058010514022643/2604967176117085 -8231840265438805/1041986870446834 179247938423922631/5209934352234170 -27022586595926757/2604967176117085 16450320644363234/2604967176117085 11312678321334151/2604967176117085 4804009491412113/5209934352234170 -7381918011700744/520993435223417 23964602801590883/2604967176117085 -4339035564785177/2604967176117085 28341650809196859/1041986870446834 -177065142244341141/5209934352234170 22456906351862171/5209934352234170 21683660181615947/1041986870446834 -36646930111019832/2604967176117085 -53969603025379961/2604967176117085 11661486628495328/520993435223417 107575197946449/400764180941090 82174783698160067/2604967176117085 -902162567872213/61293345320402 29612493049376349/5209934352234170 65202665349207133/5209934352234170 1806490310903741/2604967176117085 -20155953782854569/2604967176117085 6893127143297049/2604967176117085 67164938784557983/1041986870446834 -4216210082383203/5209934352234170 -230251672672712193/5209934352234170 8486121409651605/520993435223417 -6490338343022041/5209934352234170 68675131384605717/2604967176117085] [6378551919698319/5209934352234170 -7697966138584979/5209934352234170 -348802387345391/2083973740893668 -5289709459418028/2604967176117085 11750998580813099/10419868704468340 -2788813766166133/1041986870446834 1490340212093882/2604967176117085 2400710294922631/5209934352234170 10473092634542181/10419868704468340 -1928559595110651/2604967176117085 9523077653508448/2604967176117085 -8195084188976573/2083973740893668 -32264041176842383/10419868704468340 -19776351420293259/5209934352234170 -874563566783672/520993435223417 19777540702307497/2604967176117085 -21164201420498887/10419868704468340 5857880376013227/5209934352234170 9983479456128731/10419868704468340 3388095526272259/10419868704468340 -95046301928814/30646672660201 8524297774149749/5209934352234170 -1983662020001263/2604967176117085 3082587025463944/520993435223417 -4632020383002169/612933453204020 1311499298724852/2604967176117085 5440687279976811/1041986870446834 -6583353786739438/2604967176117085 -44874440211718051/10419868704468340 2792274657917770/520993435223417 90947059397017/801528361882180 34935256390654701/5209934352234170 -3953202715995411/1041986870446834 8668757087741431/5209934352234170 6249245310980896/2604967176117085 841958248802951/10419868704468340 -4503711393352466/2604967176117085 4132217770793427/5209934352234170 15231547659971781/1041986870446834 690254286229373/5209934352234170 -27525437695435721/2604967176117085 210339605581967/61293345320402 -2533480593518743/10419868704468340 16604234956549113/2604967176117085] [14289931184117008/2604967176117085 -20279608197476788/2604967176117085 -588589168903321/520993435223417 -23880487873451582/2604967176117085 14891823454819274/2604967176117085 -14426394234907731/1041986870446834 9575729931403308/2604967176117085 6274468348347052/2604967176117085 7905788132745416/2604967176117085 -8818778086582284/2604967176117085 97874848539126669/5209934352234170 -9397464412015785/520993435223417 -41339259439204628/2604967176117085 -48895918826841798/2604967176117085 -4296709464425359/520993435223417 98827781655835678/2604967176117085 -28769456541630417/2604967176117085 34336999266743243/5209934352234170 12329457257999496/2604967176117085 2891455970667019/2604967176117085 -16100384354911147/1041986870446834 25711088553471043/2604967176117085 -4823323643185357/2604967176117085 30892587036229895/1041986870446834 -98016325459957898/2604967176117085 11605280725083583/2604967176117085 12223966486549508/520993435223417 -78728655735591569/5209934352234170 -58277255290924961/2604967176117085 25756553150005523/1041986870446834 114513905022327/200382090470545 179073073768632659/5209934352234170 -16778282218484367/1041986870446834 13773441761851982/2604967176117085 35135953678450734/2604967176117085 229385568403801/2604967176117085 -43494267519075013/5209934352234170 23717655069209353/5209934352234170 37207810915887753/520993435223417 -1674730461153533/5209934352234170 -255976621669927013/5209934352234170 9361614674103896/520993435223417 -3877296274303943/2604967176117085 154540178798588099/5209934352234170] [-2738266525107819/5209934352234170 1659072498579017/2604967176117085 71100688888028/520993435223417 3445786171732511/5209934352234170 -3048956519247927/5209934352234170 1600165858112795/1041986870446834 -831136036571872/2604967176117085 218624835825959/5209934352234170 -919260865591954/2604967176117085 1808833665189396/2604967176117085 -5156553267616773/2604967176117085 818536909919567/520993435223417 9046702439369509/5209934352234170 4495489854348147/2604967176117085 919232058891933/1041986870446834 -21163144561640709/5209934352234170 3344643912024728/2604967176117085 -3551568690796317/5209934352234170 -1023470961589884/2604967176117085 22603374044093/5209934352234170 1916790744337309/1041986870446834 -2872977314673652/2604967176117085 1594525650120791/5209934352234170 -1739607875317826/520993435223417 18072025136776799/5209934352234170 -1863751437626239/5209934352234170 -2226395787658161/1041986870446834 4368812434945278/2604967176117085 7626696421955594/2604967176117085 -1389794733271110/520993435223417 3962751922637/23574363584770 -10138285805448513/2604967176117085 1550538597674259/1041986870446834 -3877834511108001/5209934352234170 -8129916194447117/5209934352234170 -749527345620809/2604967176117085 5529686427144297/5209934352234170 -2552899059487097/5209934352234170 -8163627092845989/1041986870446834 386949640021427/5209934352234170 12829650073593346/2604967176117085 -1222842681753964/520993435223417 -589453999758861/5209934352234170 -12395537904472091/5209934352234170] [-1880370226096433/801528361882180 1326174647141889/400764180941090 65685910360557/160305672376436 3003014287551917/801528361882180 -1025989605433367/400764180941090 502836995008997/80152836188218 -304461998605957/200382090470545 -184828020724463/200382090470545 -898971660521171/801528361882180 630908126870607/400764180941090 -3413428336414151/400764180941090 1318308687297251/160305672376436 2913397307195209/400764180941090 1671782574135192/200382090470545 602417489981647/160305672376436 -13784739615394733/801528361882180 3973733047104267/801528361882180 -572109518439326/200382090470545 -1532119959294721/801528361882180 -260640212882877/400764180941090 295818779761222/40076418094109 -851673207504587/200382090470545 373935439911491/400764180941090 -533205708697580/40076418094109 6836694780661659/400764180941090 -858912348039399/400764180941090 -1737011833088765/160305672376436 1331892891030668/200382090470545 8681754616121981/801528361882180 -923611193523011/80152836188218 -3056409090159/23574363584770 -5953574299421931/400764180941090 578099931511171/80152836188218 -536055040661493/200382090470545 -1226073938501816/200382090470545 -591930537033811/801528361882180 1413585023295517/400764180941090 -883530787005797/400764180941090 -5134329584793233/160305672376436 -6128990782443/400764180941090 4383839029990381/200382090470545 -596398450869861/80152836188218 113960426561419/400764180941090 -5178823281142691/400764180941090] [2597804565562677/2604967176117085 -7618830709061929/5209934352234170 -119258558622623/520993435223417 -3729048017365668/2604967176117085 2645932080645121/2604967176117085 -1261580311194407/520993435223417 3191930370131479/5209934352234170 1565995431267781/5209934352234170 1839926025544779/2604967176117085 -2469735353655937/5209934352234170 10133716098116488/2604967176117085 -1473912472879201/520993435223417 -7531076351508067/2604967176117085 -8477980365265087/2604967176117085 -763831205315583/520993435223417 17209509091612802/2604967176117085 -5648983107690268/2604967176117085 6125425133031237/5209934352234170 2522309648048479/2604967176117085 742996952989936/2604967176117085 -1472815417342292/520993435223417 4947699275765967/2604967176117085 -3801277756973161/5209934352234170 5452229873124991/1041986870446834 -17292666771928182/2604967176117085 2345495406356837/2604967176117085 2031960046290429/520993435223417 -17646613430875141/5209934352234170 -11813012642159424/2604967176117085 2165700738791696/520993435223417 6399155914308/200382090470545 16557693078502118/2604967176117085 -2610185404430913/1041986870446834 2457654299009341/5209934352234170 7571560113618716/2604967176117085 341637767965354/2604967176117085 -3290851442313976/2604967176117085 2508559256397617/5209934352234170 6571973348296855/520993435223417 -546499992773907/5209934352234170 -22601220971751106/2604967176117085 1739381638811671/520993435223417 -80199455518222/2604967176117085 13963566323360843/2604967176117085] [-2226477063907833/5209934352234170 3802970447540013/5209934352234170 197389025508907/2083973740893668 1909950146310611/2604967176117085 -4807991713728043/10419868704468340 1027391369517215/1041986870446834 -779331959709584/2604967176117085 -1956162408313507/5209934352234170 -1484814927026657/10419868704468340 721996835478437/2604967176117085 -4257410744672206/2604967176117085 3050653359490033/2083973740893668 14493282427522421/10419868704468340 4009590063836144/2604967176117085 597476370029649/1041986870446834 -7134659818027194/2604967176117085 6575902200381939/10419868704468340 -3833249942747749/5209934352234170 -4384560530983937/10419868704468340 -1338016109711043/10419868704468340 621021639818491/520993435223417 -4331362582034233/5209934352234170 623635277802226/2604967176117085 -948407917246601/520993435223417 30649438909309481/10419868704468340 -1536889321666274/2604967176117085 -1516668086363389/1041986870446834 2841812899324976/2604967176117085 13869330683494367/10419868704468340 -967463571486792/520993435223417 -239968509070449/801528361882180 -13518974951617087/5209934352234170 1222233119728961/1041986870446834 -1999830849514067/5209934352234170 -2601572283752667/2604967176117085 -5535189098187637/10419868704468340 -774995485822793/2604967176117085 -1552816822192939/5209934352234170 -3071405878962903/520993435223417 -186074150521001/5209934352234170 8735319918905522/2604967176117085 -1796644965869095/1041986870446834 2215859707824041/10419868704468340 -5593806928324996/2604967176117085] [-7071973532107401/1041986870446834 9949975377680801/1041986870446834 3170781215441535/2083973740893668 11669025081389525/1041986870446834 -14701731652630251/2083973740893668 18295257132739915/1041986870446834 -2299869116274272/520993435223417 -2426703019669427/1041986870446834 -7864966892490321/2083973740893668 2070100319158562/520993435223417 -12340518594859044/520993435223417 47411140650339421/2083973740893668 42123326000637317/2083973740893668 12261104642242440/520993435223417 11262828342325097/1041986870446834 -50133512538283247/1041986870446834 29415163300985405/2083973740893668 -8664415012951963/1041986870446834 -11899794283493977/2083973740893668 -3443326136750339/2083973740893668 10314818919767433/520993435223417 -6441615256556878/520993435223417 1270420996553265/520993435223417 -19646016153504395/520993435223417 98150044024276905/2083973740893668 -2898869244420583/520993435223417 -15603965220660255/520993435223417 10089224487032655/520993435223417 59036814296572041/2083973740893668 -16206189030326616/520993435223417 -22978780240475/160305672376436 -44927742251606635/1041986870446834 1226961283536399/61293345320402 -7300073479563531/1041986870446834 -9337221746048487/520993435223417 -1530506830336877/2083973740893668 5308811181800180/520993435223417 -4790194487391903/1041986870446834 -46759935772304719/520993435223417 900864317568115/1041986870446834 32444564597090320/520993435223417 -11794261339478988/520993435223417 4021880006368225/2083973740893668 -19368318505056578/520993435223417] [46083165711465527/5209934352234170 -32096140312358841/2604967176117085 -1753665670106339/1041986870446834 -77468875575110973/5209934352234170 23456589431676858/2604967176117085 -23370518028607111/1041986870446834 14570386921036606/2604967176117085 18840843591901063/5209934352234170 23970818748173929/5209934352234170 -28289206972302761/5209934352234170 157595997557321073/5209934352234170 -30807872870809257/1041986870446834 -66824347717354401/2604967176117085 -79286857428215486/2604967176117085 -14364044620163525/1041986870446834 321413835606886927/5209934352234170 -92966382673516213/5209934352234170 55426658421888941/5209934352234170 38301217775255989/5209934352234170 4819040512577748/2604967176117085 -13113172456624652/520993435223417 40733643403060421/2604967176117085 -18584598159578213/5209934352234170 25012080129141314/520993435223417 -155933217494176466/2604967176117085 18054384194662821/2604967176117085 2360364016845927/61293345320402 -126307734527822373/5209934352234170 -187870770148040249/5209934352234170 41798247752797771/1041986870446834 142339444306284/200382090470545 284880023482016383/5209934352234170 -13721731837974353/520993435223417 24581353351358104/2604967176117085 116698307768684301/5209934352234170 1528025703262599/5209934352234170 -2064366397501714/153233363301005 30521531738356001/5209934352234170 120200633220387183/1041986870446834 -1991267318549981/5209934352234170 -419274733092637641/5209934352234170 15304213135539662/520993435223417 -7526954456915956/2604967176117085 125992082834710019/2604967176117085] [-9613520114922259/2083973740893668 6583927701118867/1041986870446834 2084512252148437/2083973740893668 15862653608938185/2083973740893668 -4954595364602719/1041986870446834 12054778606587109/1041986870446834 -87294377556629/30646672660201 -930024998841467/520993435223417 -5001844379485047/2083973740893668 3008267512342837/1041986870446834 -16271389341595541/1041986870446834 32080072927131041/2083973740893668 14386716428632233/1041986870446834 482468745138688/30646672660201 14933439444955561/2083973740893668 -66665280426822327/2083973740893668 18977067663176839/2083973740893668 -2866885009636306/520993435223417 -7906717940103999/2083973740893668 -1354110468203705/1041986870446834 6818586158341249/520993435223417 -4155336038957995/520993435223417 1687361216369981/1041986870446834 -12932360491947967/520993435223417 33293857350392911/1041986870446834 -4002001647477077/1041986870446834 -42083536224948427/2083973740893668 365737216177259/30646672660201 39434939910595353/2083973740893668 -22247743989404003/1041986870446834 -42247050238643/80152836188218 -29415954503854573/1041986870446834 14308645145112077/1041986870446834 -2635797998552630/520993435223417 -6052312684429666/520993435223417 -63986320715021/2083973740893668 6714846594170381/1041986870446834 -4060257676229695/1041986870446834 -125317918888455097/2083973740893668 360835456980145/1041986870446834 21756235697222077/520993435223417 -8107099145137856/520993435223417 485246334874961/520993435223417 -26721394197271589/1041986870446834] [-267574267809851/179652908697730 352698694738041/179652908697730 8178380643349/35930581739546 440714217317619/179652908697730 -131057896079624/89826454348865 57997451503579/17965290869773 -148835048053801/179652908697730 -89090099320312/89826454348865 -92910596884757/179652908697730 64388958183479/89826454348865 -413561582072377/89826454348865 180457133990257/35930581739546 355186471048043/89826454348865 444335427812363/89826454348865 73399126863449/35930581739546 -1687017635035631/179652908697730 411761786730789/179652908697730 -262920261402433/179652908697730 -219084315891937/179652908697730 -56830793814204/89826454348865 121254640063711/35930581739546 -192862395859668/89826454348865 77678919118417/89826454348865 -128542957637910/17965290869773 877524809418148/89826454348865 -86575465001543/89826454348865 -252459868054161/35930581739546 605594135523619/179652908697730 52437105847021/10567818158690 -114898977509087/17965290869773 -351719426117/6909727257605 -775437493818207/89826454348865 75017166154053/17965290869773 -348081182158789/179652908697730 -608013509193983/179652908697730 35454482623883/179652908697730 273558966442503/179652908697730 -190600747828333/179652908697730 -643241413078549/35930581739546 14606047367003/179652908697730 66496205037552/5283909079345 -82969906525427/17965290869773 36708858304803/89826454348865 -1502068404893169/179652908697730] [-30385102921291731/10419868704468340 10581507587737899/2604967176117085 628012969268357/1041986870446834 52139298419589639/10419868704468340 -30657459991730313/10419868704468340 3986932389946462/520993435223417 -5077219813232344/2604967176117085 -4589736319789997/5209934352234170 -8283339218677901/5209934352234170 8496210501508789/5209934352234170 -53123474381803707/5209934352234170 9906486129888969/1041986870446834 91475141641977401/10419868704468340 27625969767908484/2604967176117085 9671197213773755/2083973740893668 -216038342113726251/10419868704468340 31551916217200087/5209934352234170 -18328204719279909/5209934352234170 -774648955168293/306466726602010 -8589845509135853/10419868704468340 4407694964972630/520993435223417 -27797790719114483/5209934352234170 3906877758209627/5209934352234170 -8334629168139994/520993435223417 208693653955681911/10419868704468340 -13161779277477153/5209934352234170 -26754229271253615/2083973740893668 21160198701944161/2604967176117085 30415896194945793/2604967176117085 -14071617373580031/1041986870446834 49659278226031/801528361882180 -48025704570565091/2604967176117085 4592312528288371/520993435223417 -16411064464860787/5209934352234170 -18718912947890427/2604967176117085 -328009547234591/5209934352234170 23952366375799219/5209934352234170 -211829245490286/153233363301005 -80566297819190013/2083973740893668 1791141094829707/2604967176117085 69169462545938997/2604967176117085 -5083512655516938/520993435223417 11936259061778511/10419868704468340 -83263178105453877/5209934352234170] [482003136372583/520993435223417 -661027343404435/520993435223417 -109217176409340/520993435223417 -801312936668848/520993435223417 484838083938192/520993435223417 -1242008790735896/520993435223417 726701869678963/1041986870446834 197697125514687/520993435223417 136317089473910/520993435223417 -346531298680525/520993435223417 1694668641778800/520993435223417 -1643307467049260/520993435223417 -1442380583900853/520993435223417 -1856545022718787/520993435223417 -754406167113033/520993435223417 3324598448507317/520993435223417 -942015249880442/520993435223417 1343325312578027/1041986870446834 500541107171905/520993435223417 92291323244013/520993435223417 -1316974703454362/520993435223417 663689795745107/520993435223417 -708876861129313/1041986870446834 4861927263139217/1041986870446834 -3490456640820595/520993435223417 1030661090475573/1041986870446834 2007601884691960/520993435223417 -2295124835792897/1041986870446834 -1845339966706482/520993435223417 4555063519030335/1041986870446834 10766346791354/40076418094109 5918955547415169/1041986870446834 -3153046390825075/1041986870446834 940190306042943/1041986870446834 1077531818699764/520993435223417 -66198671847808/520993435223417 -707385324632100/520993435223417 744828954004563/1041986870446834 6475546792617086/520993435223417 -33774008985519/520993435223417 -4541007757211206/520993435223417 1681908657708400/520993435223417 -52604075984445/520993435223417 2734658336082230/520993435223417] [-20669055790961943/10419868704468340 7213443782658357/2604967176117085 213234793499802/520993435223417 32260806266617447/10419868704468340 -21969707922162839/10419868704468340 2680968584500457/520993435223417 -3378392506889542/2604967176117085 -4665994053545701/5209934352234170 -5241255154590683/5209934352234170 6300121551170327/5209934352234170 -37339136836865681/5209934352234170 7196661416747067/1041986870446834 62871685786838953/10419868704468340 36865258478074609/5209934352234170 7891039386345757/2083973740893668 -151522236350948893/10419868704468340 21712911281556401/5209934352234170 -13440733461380257/5209934352234170 -7307839891674823/5209934352234170 -2237559394145459/10419868704468340 3128909688866757/520993435223417 -18280428340505709/5209934352234170 5227132355528671/5209934352234170 -5545349368699097/520993435223417 146183244695634193/10419868704468340 -10793918594447689/5209934352234170 -18178405880125641/2083973740893668 13018453862287108/2604967176117085 21932940848992829/2604967176117085 -9802061619263325/1041986870446834 -28131751851911/47148727169540 -32383416814290363/2604967176117085 3193341676512086/520993435223417 -9368521679723671/5209934352234170 -13504977700205296/2604967176117085 -269883231347584/2604967176117085 16013139456778877/5209934352234170 -4631924132886586/2604967176117085 -55688867361721509/2083973740893668 586921668838146/2604967176117085 47375585700584951/2604967176117085 -7516081432771645/1041986870446834 8544048532392473/10419868704468340 -57599135513279801/5209934352234170] [-510577048438835/520993435223417 708066933873261/520993435223417 178941768096503/1041986870446834 774254079260336/520993435223417 -1055601089264203/1041986870446834 2436446516408519/1041986870446834 -723300446740773/1041986870446834 -300661601369791/520993435223417 -546647188010315/1041986870446834 632332709292831/1041986870446834 -1703982912724012/520993435223417 3977915115722193/1041986870446834 2746605246997439/1041986870446834 1677149062154770/520993435223417 802769144386585/520993435223417 -3469980882865004/520993435223417 1904501343914521/1041986870446834 -513556788666102/520993435223417 -953500616104233/1041986870446834 -555252130141775/1041986870446834 1305204873374774/520993435223417 -837084965343486/520993435223417 504775658848681/1041986870446834 -2662610548859987/520993435223417 7751470725250385/1041986870446834 -378291934098323/520993435223417 -2431946984988062/520993435223417 2753706901655939/1041986870446834 3970853493847145/1041986870446834 -4779870823233231/1041986870446834 -11479408198253/80152836188218 -6230273162128793/1041986870446834 2652849467233077/1041986870446834 -666573599969336/520993435223417 -1182150655610520/520993435223417 67664790648089/1041986870446834 531735431628850/520993435223417 -515330279080980/520993435223417 -6826880698171577/520993435223417 -178221862712841/1041986870446834 4715242035608302/520993435223417 -1668611736795700/520993435223417 106407745341877/1041986870446834 -3126135675920346/520993435223417] [-10615193506278001/5209934352234170 15411340124700641/5209934352234170 967614142219571/2083973740893668 18908735720910629/5209934352234170 -21792645529991171/10419868704468340 5737988820623071/1041986870446834 -3907293427347458/2604967176117085 -3935204360820209/5209934352234170 -11911489609979279/10419868704468340 3270913917094279/2604967176117085 -18926652326313637/2604967176117085 14386325666589593/2083973740893668 65756434414556727/10419868704468340 18945182037610678/2604967176117085 3445313089986073/1041986870446834 -74410451255609811/5209934352234170 44475709096583483/10419868704468340 -13928726666138163/5209934352234170 -19530413123161039/10419868704468340 -9333798420686211/10419868704468340 3073893888889744/520993435223417 -10326227680611678/2604967176117085 1315537626772472/2604967176117085 -6011207188097885/520993435223417 148978401312174667/10419868704468340 -4602882678318063/2604967176117085 -9198417869849665/1041986870446834 15572283073466322/2604967176117085 89467810432879759/10419868704468340 -4937373751623336/520993435223417 -435220984101633/801528361882180 -69713554914367529/5209934352234170 6621277940024213/1041986870446834 -8987454322573469/5209934352234170 -13207145379793764/2604967176117085 3067384805414571/10419868704468340 7532803618938989/2604967176117085 -6933591023151893/5209934352234170 -28795356829806643/1041986870446834 1571377959660303/5209934352234170 48455641731217714/2604967176117085 -3706335786304786/520993435223417 2566254143441177/10419868704468340 -29039241239299677/2604967176117085] [7446973288456504/2604967176117085 -10826524587122384/2604967176117085 -566799600900291/1041986870446834 -24480223559223867/5209934352234170 452449449946011/153233363301005 -3984285928486504/520993435223417 4628756392598324/2604967176117085 2891383953597766/2604967176117085 4374422755092803/2604967176117085 -285259679478746/153233363301005 26104424300084136/2604967176117085 -4914112383185729/520993435223417 -23115028287056569/2604967176117085 -25829845610832574/2604967176117085 -137292088650528/30646672660201 53129496871883624/2604967176117085 -15844158089820351/2604967176117085 8722021024897287/2604967176117085 6556231585563553/2604967176117085 138621132181437/306466726602010 -4371481515305609/520993435223417 28774409853273163/5209934352234170 -2939404098111736/2604967176117085 8551633493331249/520993435223417 -50299487218748809/2604967176117085 5543328904348514/2604967176117085 6379560286544658/520993435223417 -22759435293967256/2604967176117085 -33096442029054423/2604967176117085 403490732649517/30646672660201 -119359499281369/200382090470545 48607313298853026/2604967176117085 -4473411385036836/520993435223417 7433071779511656/2604967176117085 1192529074837771/153233363301005 1963942714620403/2604967176117085 -11330798463247307/2604967176117085 4553016830027487/2604967176117085 39499407285076157/1041986870446834 -12299768274961/153233363301005 -68691125522544672/2604967176117085 4943817774936056/520993435223417 -2106206204425503/5209934352234170 38747690621682321/2604967176117085] [1205808010082687/1041986870446834 -1705531004422243/1041986870446834 -536450584803947/2083973740893668 -1002673537924046/520993435223417 153938613169971/122586690640804 -3065018479859163/1041986870446834 373337162692407/520993435223417 564534339059329/1041986870446834 1105369072037005/2083973740893668 -23487472518856/30646672660201 2135265234782916/520993435223417 -8523986355678399/2083973740893668 -7046807839604749/2083973740893668 -4365203102260723/1041986870446834 -59411422302554/30646672660201 8765001069010197/1041986870446834 -3855828054659839/2083973740893668 1476557431645649/1041986870446834 1601973343754117/2083973740893668 -2393243269541/122586690640804 -1793218783154622/520993435223417 1993303353816225/1041986870446834 -398591955107275/520993435223417 3273627296662946/520993435223417 -16618546523020579/2083973740893668 436378781156047/520993435223417 5477120654061207/1041986870446834 -1532155467895217/520993435223417 -10054511297170907/2083973740893668 172516414622926/30646672660201 11938113799323/160305672376436 7794705606630893/1041986870446834 -4168247842352599/1041986870446834 1516637379497837/1041986870446834 86918667139818/30646672660201 -713687936971559/2083973740893668 -905493074430652/520993435223417 1019875091772669/1041986870446834 16132399051317125/1041986870446834 -7651621723567/61293345320402 -5631577210359370/520993435223417 2176939080927772/520993435223417 -1223865190163697/2083973740893668 3383804413784394/520993435223417] [9749676193809517/10419868704468340 -7482597504778931/5209934352234170 -583858172851955/2083973740893668 -14466729483915783/10419868704468340 5324672209603683/5209934352234170 -2198066572299227/1041986870446834 1739772752931638/2604967176117085 1711301749798172/2604967176117085 3299243169342709/10419868704468340 -3098834586139293/5209934352234170 16934782737155409/5209934352234170 -7561288768114173/2083973740893668 -14324236268877921/5209934352234170 -8327672456899168/2604967176117085 -2745430298623227/2083973740893668 61755311438305047/10419868704468340 -17403955641377333/10419868704468340 3101872225891464/2604967176117085 7590795731708349/10419868704468340 390065483001734/2604967176117085 -71496332497190/30646672660201 8007956792466661/5209934352234170 -1789606749932429/5209934352234170 2203515059943727/520993435223417 -2129766086568163/306466726602010 5424066612022171/5209934352234170 7915073694201143/2083973740893668 -5033496818351252/2604967176117085 -39967783397073979/10419868704468340 4452203891492939/1041986870446834 514631229375719/400764180941090 31383950126379979/5209934352234170 -3203503908611837/1041986870446834 1987403320630137/2604967176117085 5603350340866744/2604967176117085 -2970691948614971/10419868704468340 -4553200928641873/5209934352234170 4828534211859603/5209934352234170 26214200758876661/2083973740893668 -1184303364488453/5209934352234170 -20826912729388574/2604967176117085 102085434046820/30646672660201 -1070236263836771/5209934352234170 27923987164048829/5209934352234170] [4137414545423879/2604967176117085 -5850279517828504/2604967176117085 -162530761509322/520993435223417 -7754239326831161/2604967176117085 4024108514702857/2604967176117085 -4281701620221003/1041986870446834 313390205682869/306466726602010 797408055171866/2604967176117085 2209639771865258/2604967176117085 -2094856130000097/2604967176117085 28224961885371127/5209934352234170 -2541166474924166/520993435223417 -12041968038271109/2604967176117085 -839102742804412/153233363301005 -1302945653838048/520993435223417 28662594368763984/2604967176117085 -8518242335283001/2604967176117085 5640665039702857/2604967176117085 3762743337249018/2604967176117085 707065988676342/2604967176117085 -4646940765079993/1041986870446834 7231660616260064/2604967176117085 -2812579521686267/5209934352234170 4385214868752339/520993435223417 -27711439591801889/2604967176117085 7881776591506603/5209934352234170 3429718374326149/520993435223417 -647922803626038/153233363301005 -15217769583537173/2604967176117085 3536806981781748/520993435223417 12228298035521/200382090470545 26146064916301156/2604967176117085 -2373117692695650/520993435223417 5604057600728267/5209934352234170 10194521151177912/2604967176117085 246905968394363/2604967176117085 -14791265228504029/5209934352234170 1162006356807707/2604967176117085 10392766220209637/520993435223417 -1294416129000909/5209934352234170 -73149526143975389/5209934352234170 2560339192626132/520993435223417 -1579481698873994/2604967176117085 45609998627354687/5209934352234170] [-365833659914475/61293345320402 525496746301305/61293345320402 2546378229993627/2083973740893668 626970937924319/61293345320402 -12859968713822161/2083973740893668 16221109548290691/1041986870446834 -2125839840577006/520993435223417 -134364860184543/61293345320402 -6616253050851163/2083973740893668 1851274599995066/520993435223417 -10844507959438118/520993435223417 41683493700229137/2083973740893668 2191552019308669/122586690640804 11013476249323530/520993435223417 9891117281781103/1041986870446834 -2554976360994121/61293345320402 25232905785978289/2083973740893668 -7837629828666629/1041986870446834 -11508816338748773/2083973740893668 -2675488891306435/2083973740893668 8861339679949273/520993435223417 -5616630724977502/520993435223417 692296269122368/520993435223417 -17080713579278236/520993435223417 86491542503029561/2083973740893668 -162459519395863/30646672660201 -26663889882520283/1041986870446834 8673990485467884/520993435223417 50902832182588181/2083973740893668 -14162290513532137/520993435223417 -134315164211881/160305672376436 -2327391931007729/61293345320402 18689541555420499/1041986870446834 -5968500502264077/1041986870446834 -8016055321942841/520993435223417 -749320103329465/2083973740893668 4627222677456677/520993435223417 -3802309443410703/1041986870446834 -81937370998503849/1041986870446834 671861830760365/1041986870446834 28245749003563813/520993435223417 -10266656410774436/520993435223417 175026474423523/122586690640804 -17105898679791419/520993435223417] [61266604903117451/10419868704468340 -43455332614174913/5209934352234170 -2572214091718981/2083973740893668 -102044137266313769/10419868704468340 31497731690625689/5209934352234170 -15424331012160131/1041986870446834 9933094356271119/2604967176117085 6690843866616811/2604967176117085 32205778585581737/10419868704468340 -19073173012724449/5209934352234170 105813061295952667/5209934352234170 -41229161079837011/2083973740893668 -89723793543259623/5209934352234170 -53424723629139584/2604967176117085 -19346021719114237/2083973740893668 429081142095133001/10419868704468340 -123292393390698249/10419868704468340 18796089692890112/2604967176117085 55582455780725347/10419868704468340 8137128970137799/5209934352234170 -8706988209488639/520993435223417 26849510519014849/2604967176117085 -12438566015053287/5209934352234170 16391985600101269/520993435223417 -211669935272050513/5209934352234170 24334215398211583/5209934352234170 53817000241260129/2083973740893668 -40776491764901366/2604967176117085 -245322477036896247/10419868704468340 27848877487154115/1041986870446834 395792044527977/400764180941090 190350009009342647/5209934352234170 -18562291823725291/1041986870446834 15890941913286951/2604967176117085 38440017016604902/2604967176117085 -2461716355605813/10419868704468340 -45423470097663809/5209934352234170 20289687810146869/5209934352234170 160689209283547019/2083973740893668 -2418877130083019/5209934352234170 -139663015530790412/2604967176117085 20604978593907159/1041986870446834 -9973444095691493/5209934352234170 170191056146485927/5209934352234170] [21026408136250611/5209934352234170 -29391388217228521/5209934352234170 -808864500783837/1041986870446834 -34682691710792889/5209934352234170 11064339573538164/2604967176117085 -10552700615203041/1041986870446834 13944635915609751/5209934352234170 4604624958528197/2604967176117085 10648720805847907/5209934352234170 -13234349514227473/5209934352234170 36197717712178617/2604967176117085 -14584607790619663/1041986870446834 -31008851161169333/2604967176117085 -36601688917607938/2604967176117085 -6675541560321571/1041986870446834 146139418721456371/5209934352234170 -42577564247794779/5209934352234170 13196706928688379/2604967176117085 17510433313349577/5209934352234170 1592243184087014/2604967176117085 -12068208417560981/1041986870446834 18009236770527603/2604967176117085 -4958849942505377/2604967176117085 22372028095423803/1041986870446834 -72750867962899268/2604967176117085 19073835327290881/5209934352234170 1070766623625363/61293345320402 -57195586678457109/5209934352234170 -86575745895801897/5209934352234170 9583198146401868/520993435223417 172758077595777/200382090470545 65075538437999432/2604967176117085 -6395792869784847/520993435223417 10479699128808407/2604967176117085 53316758195552573/5209934352234170 945899607580957/5209934352234170 -1622707383789039/306466726602010 7832026703753504/2604967176117085 55527798706021205/1041986870446834 -979954181464509/2604967176117085 -94239537462428044/2604967176117085 7325953506139351/520993435223417 -2813368167319678/2604967176117085 116038206744557559/5209934352234170] [-86866424560216583/10419868704468340 30382194981852427/2604967176117085 1697357685138823/1041986870446834 147884131652102577/10419868704468340 -86692476034568649/10419868704468340 10933050952578479/520993435223417 -14152257021212977/2604967176117085 -17494539957091121/5209934352234170 -22749764012367923/5209934352234170 26112902412727207/5209934352234170 -148436721474395631/5209934352234170 28826968291634259/1041986870446834 254031332346291313/10419868704468340 74802578164515062/2604967176117085 26973091502133445/2083973740893668 -602097859283538263/10419868704468340 86383844155921441/5209934352234170 -52052230309624027/5209934352234170 -37249954463519523/5209934352234170 -23208477357140099/10419868704468340 12153546111808726/520993435223417 -37990731547468217/2604967176117085 849894725882953/306466726602010 -23342431810814821/520993435223417 594430693290024793/10419868704468340 -35948108137577419/5209934352234170 -75123941117187441/2083973740893668 60188217353168173/2604967176117085 175548043464641033/5209934352234170 -39295525644386443/1041986870446834 -712378853290537/801528361882180 -135139017573525993/2604967176117085 12868242972336122/520993435223417 -44470737871383121/5209934352234170 -55272365437111201/2604967176117085 -1108498372800453/5209934352234170 62327979815416587/5209934352234170 -14521167600671746/2604967176117085 -225806511768179331/2083973740893668 2033551730523306/2604967176117085 195674611206392796/2604967176117085 -14293783031517640/520993435223417 20581150034949273/10419868704468340 -235472126203040731/5209934352234170] [15515082526524741/10419868704468340 -10738984389442363/5209934352234170 -706375832326451/2083973740893668 -26375335499015759/10419868704468340 8097856414095839/5209934352234170 -3782616935009815/1041986870446834 2393873470263609/2604967176117085 2347541259036336/2604967176117085 6534585658226877/10419868704468340 -5285215907200139/5209934352234170 25898441357708617/5209934352234170 -11141721998258671/2083973740893668 -22119887100190213/5209934352234170 -27185933321982713/5209934352234170 -4577225608502931/2083973740893668 103469304859243431/10419868704468340 -26666575588150799/10419868704468340 4406377906750702/2604967176117085 14083058070257557/10419868704468340 313884176677969/5209934352234170 -2198553227510431/520993435223417 12643157031570953/5209934352234170 -2227078982836317/5209934352234170 4035365203222285/520993435223417 -55856090920404323/5209934352234170 6961754437091983/5209934352234170 13117514747600343/2083973740893668 -9499305096810611/2604967176117085 -65048663384899147/10419868704468340 7134585134197687/1041986870446834 235233173609907/400764180941090 46330178131263817/5209934352234170 -4912387248747809/1041986870446834 4561984600130601/2604967176117085 8586948512483027/2604967176117085 1703798242791597/10419868704468340 -8772218486525989/5209934352234170 7410021260715409/5209934352234170 41490935949408125/2083973740893668 -450857460029419/5209934352234170 -33880145025112207/2604967176117085 2722369246284076/520993435223417 -1508331741094174/2604967176117085 44893308095837067/5209934352234170] [-17408322430150373/5209934352234170 23402095789973713/5209934352234170 592783007781437/1041986870446834 27092386391174487/5209934352234170 -8708227443986387/2604967176117085 8347723782662857/1041986870446834 -10474277655202723/5209934352234170 -4509004246865771/2604967176117085 -8325633934593931/5209934352234170 5495635875932077/2604967176117085 -58797818880768317/5209934352234170 11973509535825011/1041986870446834 24859023681955469/2604967176117085 29553106182004144/2604967176117085 5321093231744143/1041986870446834 -119231098708993733/5209934352234170 33265130886550677/5209934352234170 -10531405678555687/2604967176117085 -13022517495848231/5209934352234170 -2284071805490532/2604967176117085 5124248689257064/520993435223417 -14069824268485759/2604967176117085 4998382843335071/2604967176117085 -17798017137966551/1041986870446834 58742404954460879/2604967176117085 -7136155846666489/2604967176117085 -15333027676838739/1041986870446834 22250132748431576/2604967176117085 69641609028183581/5209934352234170 -15735541856997205/1041986870446834 -125545497174871/200382090470545 -104967526726278417/5209934352234170 10365292305082471/1041986870446834 -19859171147283777/5209934352234170 -43589478026646889/5209934352234170 -2141581237753601/5209934352234170 11146703700372687/2604967176117085 -7108266122851962/2604967176117085 -44877983941454225/1041986870446834 451993199716817/2604967176117085 154553901851849079/5209934352234170 -6103850020378438/520993435223417 3566286648540069/2604967176117085 -47505837012761341/2604967176117085] [13823132465005231/2604967176117085 -19202949703042941/2604967176117085 -549779408368256/520993435223417 -23750492379083219/2604967176117085 14247355058164113/2604967176117085 -7195188207484861/520993435223417 8616475074767726/2604967176117085 9340487977946923/5209934352234170 7200238653008457/2604967176117085 -8439423016850958/2604967176117085 95843849305753533/5209934352234170 -9157606341962833/520993435223417 -40703971493333621/2604967176117085 -48116313501825046/2604967176117085 -4388679991769106/520993435223417 97055129126201406/2604967176117085 -28128461484647149/2604967176117085 16933955148353083/2604967176117085 11692382028361337/2604967176117085 2355701185909073/2604967176117085 -8031976940424524/520993435223417 24882911679511426/2604967176117085 -8719656770041213/5209934352234170 30736251413301553/1041986870446834 -95517080104554036/2604967176117085 22938162368653607/5209934352234170 696719092189816/30646672660201 -75619502433866033/5209934352234170 -57217888264872782/2604967176117085 25335767723337657/1041986870446834 5950250399819/200382090470545 173200797822600033/5209934352234170 -8251485722241084/520993435223417 28434479631790613/5209934352234170 70088996725451181/5209934352234170 783658287801302/2604967176117085 -1258793761127494/153233363301005 9206818609773053/2604967176117085 36424168943723923/520993435223417 -1791735443850588/2604967176117085 -253381305275666241/5209934352234170 9168901884145844/520993435223417 -2542752421597996/2604967176117085 75409196228909704/2604967176117085] [53319940916439533/10419868704468340 -18123202931666982/2604967176117085 -494771396153341/520993435223417 -89628872177698427/10419868704468340 53314482289908969/10419868704468340 -6556853064315546/520993435223417 8073078965424462/2604967176117085 10807841077845761/5209934352234170 12886995958708143/5209934352234170 -16173871386953637/5209934352234170 89817063193897041/5209934352234170 -17816530407060115/1041986870446834 -151988712564040863/10419868704468340 -45544761042936742/2604967176117085 -16510984881594687/2083973740893668 366702083957783143/10419868704468340 -51702901512375041/5209934352234170 30481767881983627/5209934352234170 21042390838188043/5209934352234170 11424064264368469/10419868704468340 -7455676534428779/520993435223417 46276154762563139/5209934352234170 -608948546111833/306466726602010 14171934068945960/520993435223417 -358512541418777743/10419868704468340 19199546521662899/5209934352234170 46707443069424123/2083973740893668 -34966055702548423/2604967176117085 -105808327754287173/5209934352234170 24106880318858033/1041986870446834 84788033906247/801528361882180 80835465232031478/2604967176117085 -7901998079257240/520993435223417 29566005093205301/5209934352234170 32323764339489741/2604967176117085 2706031421061513/5209934352234170 -39348740366361107/5209934352234170 9032152177573701/2604967176117085 137282726045918753/2083973740893668 -369902239719301/2604967176117085 -118685706631985381/2604967176117085 8857426368728178/520993435223417 -20577669219459503/10419868704468340 146720695834114911/5209934352234170] W2 = [0 1 0 0 0 0 5 0 1 -1 0 -1 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 0 0 0 0 110 0 64 66 0 -29 107 -84 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 103 0 57 58 0 -29 101 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 88 1 49 51 0 -24 86 -65 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 102 0 56 58 0 -28 99 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 51 0 32 33 1 -15 53 -41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 19 0 11 12 0 -5 19 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 82 0 46 47 0 -23 81 -60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 48 0 28 29 0 -14 49 -36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 87 0 50 52 0 -23 85 -66 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 20 0 8 9 0 -5 18 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 100 0 52 53 0 -28 96 -67 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 17 0 7 6 0 -5 15 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 117 0 66 68 0 -32 115 -86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] Compute T^*/(T^* meet WT^*). (1.65 s to compute intersection) (0.05 s to compute quotient) (1.899 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/68 + Z/10419868704468340 Defined on 15 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 68*M.14 = 0 10419868704468340*M.15 = 0 Time: 6.910 > time S, M := S1F2(179); Compute a basis of q-expansions for S_2(Gamma_0(2*179))^new. (3.8 s). (0.399 s). Compute matrix of W2 with respect to B. (0.121 s). Compute a saturated integral basis BZ for S2N. (0.089 s). Compute the change-of-basis matrix from B to BZ. (0.48 s). Compute the matrix of W2 with respect to BZ. (0.089 s). W2Z = [-12730110934506584/2604967176117085 20416716011390824/2604967176117085 516854574025922/520993435223417 21526471383555351/2604967176117085 -12845066579956407/2604967176117085 6469103713398519/520993435223417 -8103755269648734/2604967176117085 -2008829615125936/2604967176117085 -6514918002444873/2604967176117085 15797319485478669/5209934352234170 -86618940529752157/5209934352234170 8218391667502018/520993435223417 37335293158830794/2604967176117085 44778883777578724/2604967176117085 4218663191418781/520993435223417 -89346594805785559/2604967176117085 26454140009021456/2604967176117085 -15306879498231157/2604967176117085 -9633994199544528/2604967176117085 -3439614229014292/2604967176117085 15408254226464135/1041986870446834 -22434262517330914/2604967176117085 5081096463391776/2604967176117085 -13621049063773829/520993435223417 85699381472107909/2604967176117085 -21485805489733033/5209934352234170 -11176711304559818/520993435223417 71159832159411527/5209934352234170 3045443610555589/153233363301005 -23244863215342017/1041986870446834 28749049187254/200382090470545 -155273906965915787/5209934352234170 14887636584826283/1041986870446834 -28962913589160377/5209934352234170 -31169517342814887/2604967176117085 -365488216292688/2604967176117085 37428740838344019/5209934352234170 -9883618532947957/2604967176117085 -33487321819723365/520993435223417 -159231278427763/2604967176117085 13414885746221517/306466726602010 -8826559633632967/520993435223417 4116212361705659/2604967176117085 -135595224958213677/5209934352234170] [-5192186223436443/5209934352234170 10792773127715953/5209934352234170 492941847818217/2083973740893668 16449079416131027/5209934352234170 -13844231640588203/10419868704468340 3837951301146967/1041986870446834 -2633876946116604/2604967176117085 -2982963283378627/5209934352234170 -6797074980559637/10419868704468340 2555067775515992/2604967176117085 -12293786757583321/2604967176117085 10433094547145691/2083973740893668 43103752650727391/10419868704468340 26530187340743163/5209934352234170 2278161329099719/1041986870446834 -50967592129449213/5209934352234170 26928616525991489/10419868704468340 -8115915705282999/5209934352234170 -15806086096829477/10419868704468340 -9852697035252523/10419868704468340 1897684841492734/520993435223417 -12637973103206913/5209934352234170 446848478866001/2604967176117085 -4306217659218889/520993435223417 103212001877826651/10419868704468340 -3307198359891364/2604967176117085 -3241042985355808/520993435223417 9391455123376671/2604967176117085 3542405292568301/612933453204020 -3478294747167798/520993435223417 71315712871551/801528361882180 -48992502245893027/5209934352234170 4028289690495273/1041986870446834 -9116102035322807/5209934352234170 -10168018942143897/2604967176117085 525028682063463/10419868704468340 5734506332435357/2604967176117085 -6147368735849409/5209934352234170 -9533012904910031/520993435223417 -400565486458691/5209934352234170 2005918881832301/153233363301005 -4770695115340443/1041986870446834 1724274596894211/10419868704468340 -20147275991485971/2604967176117085] [-19772096092092117/5209934352234170 13657542244442236/2604967176117085 396110090971344/520993435223417 32717146417823133/5209934352234170 -19724027040512571/5209934352234170 11376846065610787/1041986870446834 -10888842052799917/5209934352234170 -5846651499972003/5209934352234170 -5401400450764237/2604967176117085 6170295537363703/2604967176117085 -35052351651547704/2604967176117085 6612654066913566/520993435223417 57997967143799877/5209934352234170 34312285862151816/2604967176117085 6114014982213329/1041986870446834 -144237284071702257/5209934352234170 20825605666808259/2604967176117085 -11785647293761773/2604967176117085 -7588051240421792/2604967176117085 -4123957887130221/5209934352234170 11458327953561443/1041986870446834 -18878172491347371/2604967176117085 3466611861834324/2604967176117085 -21062191258715391/1041986870446834 136711663427474737/5209934352234170 -6911682692462281/2604967176117085 -17559119866757219/1041986870446834 54198883978343873/5209934352234170 40290560310937332/2604967176117085 -18276345031550589/1041986870446834 -10816050600653/400764180941090 -124790955679810543/5209934352234170 5897090105004561/520993435223417 -11067092942484649/2604967176117085 -54013497322584331/5209934352234170 -2331697106241682/2604967176117085 29745995779897641/5209934352234170 -7150696575152718/2604967176117085 -52248106608949371/1041986870446834 943101900313011/5209934352234170 89405005189801188/2604967176117085 -6799511889907610/520993435223417 9687874468058057/5209934352234170 -107052244604351773/5209934352234170] [-8925961322567007/5209934352234170 7236560007440896/2604967176117085 428752658266609/1041986870446834 13544052464943113/5209934352234170 -4753363617403428/2604967176117085 4870861601706775/1041986870446834 -6021158140595257/5209934352234170 -1286768540583979/2604967176117085 -5247438481143239/5209934352234170 2592163418458563/2604967176117085 -31953163899736383/5209934352234170 5981431309397467/1041986870446834 13996521399838896/2604967176117085 15239400138979866/2604967176117085 2870787883687913/1041986870446834 -65583678502497367/5209934352234170 19136665244540573/5209934352234170 -6026705331878853/2604967176117085 -7506874071340219/5209934352234170 -1709815210572223/2604967176117085 5494636011700117/1041986870446834 -8813120815270191/2604967176117085 4458450409658763/5209934352234170 -5182739449102287/520993435223417 31408765083979481/2604967176117085 -7816328525159237/5209934352234170 -7904537019811161/1041986870446834 12705907020651424/2604967176117085 41486045331090599/5209934352234170 -4192267619211838/520993435223417 -117600498801749/200382090470545 -28592564372435074/2604967176117085 2797462056912041/520993435223417 -7611662906643083/5209934352234170 -12330103658604728/2604967176117085 -3753165677374169/5209934352234170 10271171782316941/5209934352234170 -2987711614802653/2604967176117085 -24568557898995433/1041986870446834 3012185603746061/5209934352234170 82309925606515151/5209934352234170 -3199170268366486/520993435223417 309054240561851/2604967176117085 -48665292569032053/5209934352234170] [-27018861326951549/5209934352234170 18456992693198457/2604967176117085 1072361089162887/1041986870446834 44716317890641381/5209934352234170 -13789442989767501/2604967176117085 13259741437045359/1041986870446834 -16117225561816939/5209934352234170 -6860358080351248/2604967176117085 -13880394123757333/5209934352234170 11109047025220941/2604967176117085 -92156313682668541/5209934352234170 18419075996083195/1041986870446834 38166129295769602/2604967176117085 45576444647796862/2604967176117085 8398118153896265/1041986870446834 -184757945513122569/5209934352234170 51858610507077421/5209934352234170 -15796666175019696/2604967176117085 -19052501678855843/5209934352234170 -3166769318121621/2604967176117085 14967751339983361/1041986870446834 -23012607753358512/2604967176117085 11081891080542781/5209934352234170 -14271808618919191/520993435223417 92346455454616362/2604967176117085 -20856380787262339/5209934352234170 -24373179443002957/1041986870446834 35147942691041758/2604967176117085 106771160751655043/5209934352234170 -12286014483781403/520993435223417 -3368232739069/11787181792385 -80714939691332458/2604967176117085 7813610883930120/520993435223417 -29150809135987651/5209934352234170 -33406352550511366/2604967176117085 -2595893567789993/5209934352234170 35002611933623667/5209934352234170 -10662569162311331/2604967176117085 -69244701959537993/1041986870446834 7748477534682217/5209934352234170 238296622689222977/5209934352234170 -8959440641679624/520993435223417 5003654569189647/2604967176117085 -149191977381584781/5209934352234170] [-18249927249063753/10419868704468340 6120169503219212/2604967176117085 886358597534091/1041986870446834 32672471863514877/10419868704468340 -18398922177899989/10419868704468340 2475462086985482/520993435223417 -3169090079928907/2604967176117085 -2913097839710411/5209934352234170 -4416976063123323/5209934352234170 5565955089622277/5209934352234170 -32200158144770581/5209934352234170 6340372789651491/1041986870446834 56106962290009483/10419868704468340 32107350836735429/5209934352234170 5940140391424713/2083973740893668 -133484167467518123/10419868704468340 18444982751824121/5209934352234170 -11460599493610867/5209934352234170 -7591386208763303/5209934352234170 -6642298178575889/10419868704468340 2676639164075618/520993435223417 -16669357647821329/5209934352234170 1261222138040281/5209934352234170 -5347472209679408/520993435223417 122618553672163933/10419868704468340 -7364770797055169/5209934352234170 -15377317262109541/2083973740893668 12693869409987333/2604967176117085 37068063718764433/5209934352234170 -8411239327129941/1041986870446834 17339961822219/47148727169540 -27434912089144223/2604967176117085 2705477769993993/520993435223417 -10052900746192381/5209934352234170 -11135935940311756/2604967176117085 -1302802612097739/2604967176117085 15819953539221857/5209934352234170 -1951263775993351/2604967176117085 -48701620812957023/2083973740893668 -945130329256809/2604967176117085 41253635940838461/2604967176117085 -6045602568647319/1041986870446834 5989513774628803/10419868704468340 -45569593410795991/5209934352234170] [12115665874816471/5209934352234170 -15600369348439791/5209934352234170 -627888727875061/2083973740893668 -19840493612170979/5209934352234170 25230128215233831/10419868704468340 -6006769849190323/1041986870446834 4022969739208083/2604967176117085 3908620322864979/5209934352234170 9130427293883999/10419868704468340 -4265556819952709/2604967176117085 20695333315881777/2604967176117085 -16541367924308191/2083973740893668 -70912127242968507/10419868704468340 -35926510316206941/5209934352234170 -1918295791517627/520993435223417 82113378877803461/5209934352234170 -43193869420167173/10419868704468340 13472636138613243/5209934352234170 23793141092767799/10419868704468340 4585313376996501/10419868704468340 -201622543082450/30646672660201 10031316416248458/2604967176117085 -2650768398668772/2604967176117085 6491443015909453/520993435223417 -9679480774192461/612933453204020 5298609695638383/2604967176117085 5378130563387083/520993435223417 -16134666070254692/2604967176117085 -97530478437715689/10419868704468340 5610929697773909/520993435223417 -101323205608987/801528361882180 72570125337997879/5209934352234170 -7416982971963341/1041986870446834 14629595392962319/5209934352234170 14119307163410144/2604967176117085 1966430698828829/10419868704468340 -8911096360894164/2604967176117085 8743916289780393/5209934352234170 31503630671713665/1041986870446834 -1518328726198053/5209934352234170 -54772952418949514/2604967176117085 245311948588326/30646672660201 -14769935176678127/10419868704468340 32622749085924342/2604967176117085] [4647109896719053/10419868704468340 -718540816462712/2604967176117085 12147194095545/1041986870446834 -6004850625886427/10419868704468340 2586256037436999/10419868704468340 -461908457075157/520993435223417 237251154110142/2604967176117085 -789991692257019/5209934352234170 239753425164583/5209934352234170 -1085444623414797/5209934352234170 4437602389744761/5209934352234170 -1266176609449451/1041986870446834 -8690848627750503/10419868704468340 -5238517882355959/5209934352234170 -892872240994433/2083973740893668 22293661778866293/10419868704468340 -1981906464013381/5209934352234170 119799791151607/5209934352234170 2339606343268303/5209934352234170 3106077166753059/10419868704468340 -418429599789023/520993435223417 1507680480843339/5209934352234170 -430882324263161/5209934352234170 1104559810391075/520993435223417 -19222783163723713/10419868704468340 1838439918513409/5209934352234170 2130294248326665/2083973740893668 -1912958544702293/2604967176117085 -7841967318972153/5209934352234170 959365036994805/1041986870446834 -6085427164239/47148727169540 3868225670905743/2604967176117085 -252530415956028/520993435223417 874420900233851/5209934352234170 886772204546366/2604967176117085 266469590819259/2604967176117085 -275391036452307/5209934352234170 1363836764101751/2604967176117085 7212587811962801/2083973740893668 -128690386254766/2604967176117085 -5514627423241106/2604967176117085 609481229742731/1041986870446834 1249296489018267/10419868704468340 5394620414491181/5209934352234170] [-54594064803669/89826454348865 65215588925189/89826454348865 172725214355/2113563631738 93949832546231/89826454348865 -130630714707949/179652908697730 3133939706763/2113563631738 -42439026451324/89826454348865 -65776707057267/179652908697730 -37633579008391/179652908697730 31570922354797/89826454348865 -190837752337061/89826454348865 4630820316543/2113563631738 321654708490033/179652908697730 197226049193689/89826454348865 15735434091889/17965290869773 -413339711318964/89826454348865 12584825772191/10567818158690 73478405340901/179652908697730 -29541221079801/179652908697730 -18085826610229/179652908697730 77966148629939/35930581739546 -64621168958634/89826454348865 64242386640197/179652908697730 -3404711315001/1056781815869 764598265546443/179652908697730 -126358242730833/179652908697730 -47128628788989/17965290869773 89624774419171/89826454348865 331519103357061/179652908697730 -55954974917704/17965290869773 -4964455570667/13819454515210 -318601248981846/89826454348865 71892948915553/35930581739546 -6624025967231/10567818158690 -343675702035649/179652908697730 -3204821042451/179652908697730 120716805203229/179652908697730 -132723330528709/179652908697730 -8368417205195/1056781815869 10565972121329/179652908697730 534508033753892/89826454348865 -40873553009457/17965290869773 -389752041947/179652908697730 -766662426952977/179652908697730] [18714060976819817/5209934352234170 -25939386978048607/5209934352234170 -1620131397580903/2083973740893668 -16282364445876244/2604967176117085 42717722408701377/10419868704468340 -9514328894218363/1041986870446834 6125104645862791/2604967176117085 6768704787346023/5209934352234170 20249334886366023/10419868704468340 -5837487706957003/2604967176117085 31387501732111709/2604967176117085 -24675091750537201/2083973740893668 -108843046473006919/10419868704468340 -63570589122498297/5209934352234170 -2855624230978566/520993435223417 64272225542210971/2604967176117085 -73278471243097131/10419868704468340 22415080602769701/5209934352234170 34435026302099783/10419868704468340 16976831114438167/10419868704468340 -5166316229538075/520993435223417 33643681285027407/5209934352234170 -162324710757617/153233363301005 10010051794550785/520993435223417 -254264767043869849/10419868704468340 7518476155437171/2604967176117085 7782176684278496/520993435223417 -26133420291968089/2604967176117085 -154575367948093763/10419868704468340 8273606273125565/520993435223417 281648547255531/801528361882180 115134867413737563/5209934352234170 -11219927660456243/1041986870446834 18998465561827803/5209934352234170 23530379942786758/2604967176117085 -2005056529234477/10419868704468340 -12875048582814138/2604967176117085 10999554052578951/5209934352234170 24221899733917282/520993435223417 -1298633838282871/5209934352234170 -83910884082170233/2604967176117085 11936787603420253/1041986870446834 -3180997748368469/10419868704468340 50353500353666889/2604967176117085] [1827852093735653/1041986870446834 -2536467866647323/1041986870446834 -863463544343057/2083973740893668 -2844268450361925/1041986870446834 3424294456739089/2083973740893668 -4734975197131383/1041986870446834 659150539417868/520993435223417 794391309880963/1041986870446834 1676585767637855/2083973740893668 -699214151507787/520993435223417 2985795630363041/520993435223417 -12068093642335219/2083973740893668 -10133250698516837/2083973740893668 -3085854797881600/520993435223417 -1502255371797298/520993435223417 12569271828987859/1041986870446834 -6745507759534269/2083973740893668 2309563721987641/1041986870446834 2893438487262111/2083973740893668 1176177805483315/2083973740893668 -2730395255499917/520993435223417 4118288402043227/1041986870446834 -556850135901521/520993435223417 5023000313472728/520993435223417 -24628608983059907/2083973740893668 761714392819109/520993435223417 8015497752160413/1041986870446834 -2224860445448546/520993435223417 -14594427186714201/2083973740893668 4208895035161363/520993435223417 68175940868747/160305672376436 10775835661060667/1041986870446834 -353821501712495/61293345320402 2284460802864135/1041986870446834 2336831789537832/520993435223417 -1876429455910221/2083973740893668 -1590932145868929/520993435223417 1602407405311611/1041986870446834 11647114845890988/520993435223417 88146508310927/1041986870446834 -8720677982059703/520993435223417 6127303968699053/1041986870446834 -274613831116667/2083973740893668 5162347285492451/520993435223417] [-38731395452388931/5209934352234170 27564644137964248/2604967176117085 1578950106274835/1041986870446834 64637794382542869/5209934352234170 -19632322805445644/2604967176117085 19924218931567215/1041986870446834 -25306305329911491/5209934352234170 -16817164940028759/5209934352234170 -20788457370905607/5209934352234170 23636396224966593/5209934352234170 -7834688158899547/306466726602010 25757931119877419/1041986870446834 56667988264452143/2604967176117085 67129941093417658/2604967176117085 12088476006917197/1041986870446834 -268922589774120301/5209934352234170 77843833010664529/5209934352234170 -23645279858074469/2604967176117085 -32901658531851947/5209934352234170 -5909398669481289/2604967176117085 10891273358462676/520993435223417 -2007771475679549/153233363301005 5999571306224072/2604967176117085 -42095454678774921/1041986870446834 133133289669727488/2604967176117085 -31965368823445461/5209934352234170 -33988525284537125/1041986870446834 53493998361371242/2604967176117085 158902548699170147/5209934352234170 -17752713054709752/520993435223417 -38301199745617/200382090470545 -121223171959633767/2604967176117085 22691442768245053/1041986870446834 -40517258739695949/5209934352234170 -101327274551920223/5209934352234170 -799693446417287/5209934352234170 29270918853798539/2604967176117085 -12624013185365644/2604967176117085 -101706728181961939/1041986870446834 1812614927788603/5209934352234170 354413102527016343/5209934352234170 -12578427978520583/520993435223417 4654137659454258/2604967176117085 -6260107014740181/153233363301005] [-17508889434025536/2604967176117085 24501953170271591/2604967176117085 661580802108210/520993435223417 28321896748914794/2604967176117085 -18011916454655598/2604967176117085 9018292152034272/520993435223417 -23707790226821797/5209934352234170 -13706331287531673/5209934352234170 -9043298644787577/2604967176117085 11205650791988283/2604967176117085 -121289439114203603/5209934352234170 11695764938782285/520993435223417 52793146557431161/2604967176117085 61338703006341211/2604967176117085 5673313131122759/520993435223417 -122829633310373211/2604967176117085 35354513045335569/2604967176117085 -43237246536489081/5209934352234170 -14176538915356052/2604967176117085 -4828985004825053/2604967176117085 10172431215400882/520993435223417 -30903555705997236/2604967176117085 6947922976455259/2604967176117085 -19152966363870206/520993435223417 120475824579751376/2604967176117085 -12371720950459271/2604967176117085 -15168716588548543/520993435223417 48639675733945014/2604967176117085 4287160456715831/153233363301005 -16151888904174327/520993435223417 -177828777920779/200382090470545 -109442827381237089/2604967176117085 20293323144664517/1041986870446834 -17910980884217454/2604967176117085 -90957430022172931/5209934352234170 -2261810139699462/2604967176117085 25284177157797188/2604967176117085 -24442086708334501/5209934352234170 -46183712857575325/520993435223417 1387053877517913/2604967176117085 18731556353734973/306466726602010 -11982435700968316/520993435223417 5896465420585541/2604967176117085 -94752250548172059/2604967176117085] [3194129066324272/2604967176117085 -3856016291323272/2604967176117085 -134112812254609/520993435223417 -5676589944501413/2604967176117085 3261011275992911/2604967176117085 -3137164374289453/1041986870446834 2938321388595822/2604967176117085 916606511354588/2604967176117085 1235550021749184/2604967176117085 -2184422055241321/2604967176117085 20144225757748841/5209934352234170 -2200134466799548/520993435223417 -8566839614307732/2604967176117085 -10524100051730247/2604967176117085 -972223788739466/520993435223417 21683648506683902/2604967176117085 -5583790035322173/2604967176117085 6494744727889227/5209934352234170 137125569876652/153233363301005 630478574008906/2604967176117085 -3534151985347507/1041986870446834 4713084691160777/2604967176117085 -1639086150158328/2604967176117085 6774057712472777/1041986870446834 -21193685142653787/2604967176117085 1946073185500357/2604967176117085 2876592943923308/520993435223417 -13417016924400671/5209934352234170 -13730804361078029/2604967176117085 5751983108761597/1041986870446834 -51613530606732/200382090470545 36141512133574631/5209934352234170 -3754359906868859/1041986870446834 3958166434590133/2604967176117085 7753324085173216/2604967176117085 1189016625781489/2604967176117085 -6860160588872017/5209934352234170 360377250868181/306466726602010 8055320407483909/520993435223417 -1153235930196127/5209934352234170 -56974763267343637/5209934352234170 2148119348093747/520993435223417 -703761330694482/2604967176117085 33679820243772451/5209934352234170] [-5740825512796813/2604967176117085 16135963116282601/5209934352234170 184041270995331/520993435223417 9306610642118117/2604967176117085 -6048163806576299/2604967176117085 2951810141766152/520993435223417 -7565011668382621/5209934352234170 -2411993979472457/2604967176117085 -3147910066794256/2604967176117085 6573902739581083/5209934352234170 -41462016879371659/5209934352234170 4079956571158087/520993435223417 17678848025439568/2604967176117085 20778282826265288/2604967176117085 1855442235728274/520993435223417 -42627054379735888/2604967176117085 11645571273776627/2604967176117085 -15246743432242393/5209934352234170 -3560244632018461/2604967176117085 -1204039412592294/2604967176117085 3402472164685220/520993435223417 -10004599700506743/2604967176117085 2831714941109777/2604967176117085 -6277810561044044/520993435223417 41688225874132398/2604967176117085 -11360995084028771/5209934352234170 -307214253876606/30646672660201 14343328530125622/2604967176117085 24251730233732761/2604967176117085 -9663878879019413/1041986870446834 -15050486141132/200382090470545 -71675665325509979/5209934352234170 7091738118653971/1041986870446834 -6106485589265417/2604967176117085 -28262200554510623/5209934352234170 -234439388544306/2604967176117085 531613688944752/153233363301005 -9647972902600753/5209934352234170 -15519628093976144/520993435223417 1539851289847673/5209934352234170 106797227035850463/5209934352234170 -4269103622471691/520993435223417 2448106403695458/2604967176117085 -33594667920740452/2604967176117085] [3365717508029922/2604967176117085 -8254892856745989/5209934352234170 -258474487612435/1041986870446834 -6106378881421228/2604967176117085 6437659374582767/5209934352234170 -1574305141925092/520993435223417 2991764837281029/5209934352234170 1509774147276233/2604967176117085 3108440628339513/5209934352234170 -3465889571366267/5209934352234170 20207427844782661/5209934352234170 -3901667604930943/1041986870446834 -17027400998913749/5209934352234170 -10461275602339252/2604967176117085 -961525529636169/520993435223417 21277906765141097/2604967176117085 -12138752820728371/5209934352234170 5184905472940857/5209934352234170 5661770436142313/5209934352234170 257295811581737/5209934352234170 -1785142974422906/520993435223417 4771567287063082/2604967176117085 -1466552079977748/2604967176117085 3546531389796377/520993435223417 -41370245594158109/5209934352234170 3609310539557699/5209934352234170 2884691660628612/520993435223417 -8797572797039778/2604967176117085 -1539950251541189/306466726602010 5604685033157075/1041986870446834 -200097513584119/400764180941090 40602621572762991/5209934352234170 -3692221857464901/1041986870446834 4900222381703288/2604967176117085 14109797421865927/5209934352234170 1329542275768173/5209934352234170 -4299293103035206/2604967176117085 6050653907802557/5209934352234170 7978222853319456/520993435223417 -2995166265259577/5209934352234170 -3377951515931001/306466726602010 2089471489344142/520993435223417 -2942910465411739/5209934352234170 16953514407581558/2604967176117085] [25774165580019691/5209934352234170 -18340541994376103/2604967176117085 -513011186799568/520993435223417 -44073867664028199/5209934352234170 26501620269590513/5209934352234170 -13436643581127919/1041986870446834 17549964035269251/5209934352234170 9451653773762379/5209934352234170 7138331810614441/2604967176117085 -14887857622179433/5209934352234170 90392193146658709/5209934352234170 -8471478179925230/520993435223417 -77774209090839411/5209934352234170 -45058010514022643/2604967176117085 -8231840265438805/1041986870446834 179247938423922631/5209934352234170 -27022586595926757/2604967176117085 16450320644363234/2604967176117085 11312678321334151/2604967176117085 4804009491412113/5209934352234170 -7381918011700744/520993435223417 23964602801590883/2604967176117085 -4339035564785177/2604967176117085 28341650809196859/1041986870446834 -177065142244341141/5209934352234170 22456906351862171/5209934352234170 21683660181615947/1041986870446834 -36646930111019832/2604967176117085 -53969603025379961/2604967176117085 11661486628495328/520993435223417 107575197946449/400764180941090 82174783698160067/2604967176117085 -902162567872213/61293345320402 29612493049376349/5209934352234170 65202665349207133/5209934352234170 1806490310903741/2604967176117085 -20155953782854569/2604967176117085 6893127143297049/2604967176117085 67164938784557983/1041986870446834 -4216210082383203/5209934352234170 -230251672672712193/5209934352234170 8486121409651605/520993435223417 -6490338343022041/5209934352234170 68675131384605717/2604967176117085] [6378551919698319/5209934352234170 -7697966138584979/5209934352234170 -348802387345391/2083973740893668 -5289709459418028/2604967176117085 11750998580813099/10419868704468340 -2788813766166133/1041986870446834 1490340212093882/2604967176117085 2400710294922631/5209934352234170 10473092634542181/10419868704468340 -1928559595110651/2604967176117085 9523077653508448/2604967176117085 -8195084188976573/2083973740893668 -32264041176842383/10419868704468340 -19776351420293259/5209934352234170 -874563566783672/520993435223417 19777540702307497/2604967176117085 -21164201420498887/10419868704468340 5857880376013227/5209934352234170 9983479456128731/10419868704468340 3388095526272259/10419868704468340 -95046301928814/30646672660201 8524297774149749/5209934352234170 -1983662020001263/2604967176117085 3082587025463944/520993435223417 -4632020383002169/612933453204020 1311499298724852/2604967176117085 5440687279976811/1041986870446834 -6583353786739438/2604967176117085 -44874440211718051/10419868704468340 2792274657917770/520993435223417 90947059397017/801528361882180 34935256390654701/5209934352234170 -3953202715995411/1041986870446834 8668757087741431/5209934352234170 6249245310980896/2604967176117085 841958248802951/10419868704468340 -4503711393352466/2604967176117085 4132217770793427/5209934352234170 15231547659971781/1041986870446834 690254286229373/5209934352234170 -27525437695435721/2604967176117085 210339605581967/61293345320402 -2533480593518743/10419868704468340 16604234956549113/2604967176117085] [14289931184117008/2604967176117085 -20279608197476788/2604967176117085 -588589168903321/520993435223417 -23880487873451582/2604967176117085 14891823454819274/2604967176117085 -14426394234907731/1041986870446834 9575729931403308/2604967176117085 6274468348347052/2604967176117085 7905788132745416/2604967176117085 -8818778086582284/2604967176117085 97874848539126669/5209934352234170 -9397464412015785/520993435223417 -41339259439204628/2604967176117085 -48895918826841798/2604967176117085 -4296709464425359/520993435223417 98827781655835678/2604967176117085 -28769456541630417/2604967176117085 34336999266743243/5209934352234170 12329457257999496/2604967176117085 2891455970667019/2604967176117085 -16100384354911147/1041986870446834 25711088553471043/2604967176117085 -4823323643185357/2604967176117085 30892587036229895/1041986870446834 -98016325459957898/2604967176117085 11605280725083583/2604967176117085 12223966486549508/520993435223417 -78728655735591569/5209934352234170 -58277255290924961/2604967176117085 25756553150005523/1041986870446834 114513905022327/200382090470545 179073073768632659/5209934352234170 -16778282218484367/1041986870446834 13773441761851982/2604967176117085 35135953678450734/2604967176117085 229385568403801/2604967176117085 -43494267519075013/5209934352234170 23717655069209353/5209934352234170 37207810915887753/520993435223417 -1674730461153533/5209934352234170 -255976621669927013/5209934352234170 9361614674103896/520993435223417 -3877296274303943/2604967176117085 154540178798588099/5209934352234170] [-2738266525107819/5209934352234170 1659072498579017/2604967176117085 71100688888028/520993435223417 3445786171732511/5209934352234170 -3048956519247927/5209934352234170 1600165858112795/1041986870446834 -831136036571872/2604967176117085 218624835825959/5209934352234170 -919260865591954/2604967176117085 1808833665189396/2604967176117085 -5156553267616773/2604967176117085 818536909919567/520993435223417 9046702439369509/5209934352234170 4495489854348147/2604967176117085 919232058891933/1041986870446834 -21163144561640709/5209934352234170 3344643912024728/2604967176117085 -3551568690796317/5209934352234170 -1023470961589884/2604967176117085 22603374044093/5209934352234170 1916790744337309/1041986870446834 -2872977314673652/2604967176117085 1594525650120791/5209934352234170 -1739607875317826/520993435223417 18072025136776799/5209934352234170 -1863751437626239/5209934352234170 -2226395787658161/1041986870446834 4368812434945278/2604967176117085 7626696421955594/2604967176117085 -1389794733271110/520993435223417 3962751922637/23574363584770 -10138285805448513/2604967176117085 1550538597674259/1041986870446834 -3877834511108001/5209934352234170 -8129916194447117/5209934352234170 -749527345620809/2604967176117085 5529686427144297/5209934352234170 -2552899059487097/5209934352234170 -8163627092845989/1041986870446834 386949640021427/5209934352234170 12829650073593346/2604967176117085 -1222842681753964/520993435223417 -589453999758861/5209934352234170 -12395537904472091/5209934352234170] [-1880370226096433/801528361882180 1326174647141889/400764180941090 65685910360557/160305672376436 3003014287551917/801528361882180 -1025989605433367/400764180941090 502836995008997/80152836188218 -304461998605957/200382090470545 -184828020724463/200382090470545 -898971660521171/801528361882180 630908126870607/400764180941090 -3413428336414151/400764180941090 1318308687297251/160305672376436 2913397307195209/400764180941090 1671782574135192/200382090470545 602417489981647/160305672376436 -13784739615394733/801528361882180 3973733047104267/801528361882180 -572109518439326/200382090470545 -1532119959294721/801528361882180 -260640212882877/400764180941090 295818779761222/40076418094109 -851673207504587/200382090470545 373935439911491/400764180941090 -533205708697580/40076418094109 6836694780661659/400764180941090 -858912348039399/400764180941090 -1737011833088765/160305672376436 1331892891030668/200382090470545 8681754616121981/801528361882180 -923611193523011/80152836188218 -3056409090159/23574363584770 -5953574299421931/400764180941090 578099931511171/80152836188218 -536055040661493/200382090470545 -1226073938501816/200382090470545 -591930537033811/801528361882180 1413585023295517/400764180941090 -883530787005797/400764180941090 -5134329584793233/160305672376436 -6128990782443/400764180941090 4383839029990381/200382090470545 -596398450869861/80152836188218 113960426561419/400764180941090 -5178823281142691/400764180941090] [2597804565562677/2604967176117085 -7618830709061929/5209934352234170 -119258558622623/520993435223417 -3729048017365668/2604967176117085 2645932080645121/2604967176117085 -1261580311194407/520993435223417 3191930370131479/5209934352234170 1565995431267781/5209934352234170 1839926025544779/2604967176117085 -2469735353655937/5209934352234170 10133716098116488/2604967176117085 -1473912472879201/520993435223417 -7531076351508067/2604967176117085 -8477980365265087/2604967176117085 -763831205315583/520993435223417 17209509091612802/2604967176117085 -5648983107690268/2604967176117085 6125425133031237/5209934352234170 2522309648048479/2604967176117085 742996952989936/2604967176117085 -1472815417342292/520993435223417 4947699275765967/2604967176117085 -3801277756973161/5209934352234170 5452229873124991/1041986870446834 -17292666771928182/2604967176117085 2345495406356837/2604967176117085 2031960046290429/520993435223417 -17646613430875141/5209934352234170 -11813012642159424/2604967176117085 2165700738791696/520993435223417 6399155914308/200382090470545 16557693078502118/2604967176117085 -2610185404430913/1041986870446834 2457654299009341/5209934352234170 7571560113618716/2604967176117085 341637767965354/2604967176117085 -3290851442313976/2604967176117085 2508559256397617/5209934352234170 6571973348296855/520993435223417 -546499992773907/5209934352234170 -22601220971751106/2604967176117085 1739381638811671/520993435223417 -80199455518222/2604967176117085 13963566323360843/2604967176117085] [-2226477063907833/5209934352234170 3802970447540013/5209934352234170 197389025508907/2083973740893668 1909950146310611/2604967176117085 -4807991713728043/10419868704468340 1027391369517215/1041986870446834 -779331959709584/2604967176117085 -1956162408313507/5209934352234170 -1484814927026657/10419868704468340 721996835478437/2604967176117085 -4257410744672206/2604967176117085 3050653359490033/2083973740893668 14493282427522421/10419868704468340 4009590063836144/2604967176117085 597476370029649/1041986870446834 -7134659818027194/2604967176117085 6575902200381939/10419868704468340 -3833249942747749/5209934352234170 -4384560530983937/10419868704468340 -1338016109711043/10419868704468340 621021639818491/520993435223417 -4331362582034233/5209934352234170 623635277802226/2604967176117085 -948407917246601/520993435223417 30649438909309481/10419868704468340 -1536889321666274/2604967176117085 -1516668086363389/1041986870446834 2841812899324976/2604967176117085 13869330683494367/10419868704468340 -967463571486792/520993435223417 -239968509070449/801528361882180 -13518974951617087/5209934352234170 1222233119728961/1041986870446834 -1999830849514067/5209934352234170 -2601572283752667/2604967176117085 -5535189098187637/10419868704468340 -774995485822793/2604967176117085 -1552816822192939/5209934352234170 -3071405878962903/520993435223417 -186074150521001/5209934352234170 8735319918905522/2604967176117085 -1796644965869095/1041986870446834 2215859707824041/10419868704468340 -5593806928324996/2604967176117085] [-7071973532107401/1041986870446834 9949975377680801/1041986870446834 3170781215441535/2083973740893668 11669025081389525/1041986870446834 -14701731652630251/2083973740893668 18295257132739915/1041986870446834 -2299869116274272/520993435223417 -2426703019669427/1041986870446834 -7864966892490321/2083973740893668 2070100319158562/520993435223417 -12340518594859044/520993435223417 47411140650339421/2083973740893668 42123326000637317/2083973740893668 12261104642242440/520993435223417 11262828342325097/1041986870446834 -50133512538283247/1041986870446834 29415163300985405/2083973740893668 -8664415012951963/1041986870446834 -11899794283493977/2083973740893668 -3443326136750339/2083973740893668 10314818919767433/520993435223417 -6441615256556878/520993435223417 1270420996553265/520993435223417 -19646016153504395/520993435223417 98150044024276905/2083973740893668 -2898869244420583/520993435223417 -15603965220660255/520993435223417 10089224487032655/520993435223417 59036814296572041/2083973740893668 -16206189030326616/520993435223417 -22978780240475/160305672376436 -44927742251606635/1041986870446834 1226961283536399/61293345320402 -7300073479563531/1041986870446834 -9337221746048487/520993435223417 -1530506830336877/2083973740893668 5308811181800180/520993435223417 -4790194487391903/1041986870446834 -46759935772304719/520993435223417 900864317568115/1041986870446834 32444564597090320/520993435223417 -11794261339478988/520993435223417 4021880006368225/2083973740893668 -19368318505056578/520993435223417] [46083165711465527/5209934352234170 -32096140312358841/2604967176117085 -1753665670106339/1041986870446834 -77468875575110973/5209934352234170 23456589431676858/2604967176117085 -23370518028607111/1041986870446834 14570386921036606/2604967176117085 18840843591901063/5209934352234170 23970818748173929/5209934352234170 -28289206972302761/5209934352234170 157595997557321073/5209934352234170 -30807872870809257/1041986870446834 -66824347717354401/2604967176117085 -79286857428215486/2604967176117085 -14364044620163525/1041986870446834 321413835606886927/5209934352234170 -92966382673516213/5209934352234170 55426658421888941/5209934352234170 38301217775255989/5209934352234170 4819040512577748/2604967176117085 -13113172456624652/520993435223417 40733643403060421/2604967176117085 -18584598159578213/5209934352234170 25012080129141314/520993435223417 -155933217494176466/2604967176117085 18054384194662821/2604967176117085 2360364016845927/61293345320402 -126307734527822373/5209934352234170 -187870770148040249/5209934352234170 41798247752797771/1041986870446834 142339444306284/200382090470545 284880023482016383/5209934352234170 -13721731837974353/520993435223417 24581353351358104/2604967176117085 116698307768684301/5209934352234170 1528025703262599/5209934352234170 -2064366397501714/153233363301005 30521531738356001/5209934352234170 120200633220387183/1041986870446834 -1991267318549981/5209934352234170 -419274733092637641/5209934352234170 15304213135539662/520993435223417 -7526954456915956/2604967176117085 125992082834710019/2604967176117085] [-9613520114922259/2083973740893668 6583927701118867/1041986870446834 2084512252148437/2083973740893668 15862653608938185/2083973740893668 -4954595364602719/1041986870446834 12054778606587109/1041986870446834 -87294377556629/30646672660201 -930024998841467/520993435223417 -5001844379485047/2083973740893668 3008267512342837/1041986870446834 -16271389341595541/1041986870446834 32080072927131041/2083973740893668 14386716428632233/1041986870446834 482468745138688/30646672660201 14933439444955561/2083973740893668 -66665280426822327/2083973740893668 18977067663176839/2083973740893668 -2866885009636306/520993435223417 -7906717940103999/2083973740893668 -1354110468203705/1041986870446834 6818586158341249/520993435223417 -4155336038957995/520993435223417 1687361216369981/1041986870446834 -12932360491947967/520993435223417 33293857350392911/1041986870446834 -4002001647477077/1041986870446834 -42083536224948427/2083973740893668 365737216177259/30646672660201 39434939910595353/2083973740893668 -22247743989404003/1041986870446834 -42247050238643/80152836188218 -29415954503854573/1041986870446834 14308645145112077/1041986870446834 -2635797998552630/520993435223417 -6052312684429666/520993435223417 -63986320715021/2083973740893668 6714846594170381/1041986870446834 -4060257676229695/1041986870446834 -125317918888455097/2083973740893668 360835456980145/1041986870446834 21756235697222077/520993435223417 -8107099145137856/520993435223417 485246334874961/520993435223417 -26721394197271589/1041986870446834] [-267574267809851/179652908697730 352698694738041/179652908697730 8178380643349/35930581739546 440714217317619/179652908697730 -131057896079624/89826454348865 57997451503579/17965290869773 -148835048053801/179652908697730 -89090099320312/89826454348865 -92910596884757/179652908697730 64388958183479/89826454348865 -413561582072377/89826454348865 180457133990257/35930581739546 355186471048043/89826454348865 444335427812363/89826454348865 73399126863449/35930581739546 -1687017635035631/179652908697730 411761786730789/179652908697730 -262920261402433/179652908697730 -219084315891937/179652908697730 -56830793814204/89826454348865 121254640063711/35930581739546 -192862395859668/89826454348865 77678919118417/89826454348865 -128542957637910/17965290869773 877524809418148/89826454348865 -86575465001543/89826454348865 -252459868054161/35930581739546 605594135523619/179652908697730 52437105847021/10567818158690 -114898977509087/17965290869773 -351719426117/6909727257605 -775437493818207/89826454348865 75017166154053/17965290869773 -348081182158789/179652908697730 -608013509193983/179652908697730 35454482623883/179652908697730 273558966442503/179652908697730 -190600747828333/179652908697730 -643241413078549/35930581739546 14606047367003/179652908697730 66496205037552/5283909079345 -82969906525427/17965290869773 36708858304803/89826454348865 -1502068404893169/179652908697730] [-30385102921291731/10419868704468340 10581507587737899/2604967176117085 628012969268357/1041986870446834 52139298419589639/10419868704468340 -30657459991730313/10419868704468340 3986932389946462/520993435223417 -5077219813232344/2604967176117085 -4589736319789997/5209934352234170 -8283339218677901/5209934352234170 8496210501508789/5209934352234170 -53123474381803707/5209934352234170 9906486129888969/1041986870446834 91475141641977401/10419868704468340 27625969767908484/2604967176117085 9671197213773755/2083973740893668 -216038342113726251/10419868704468340 31551916217200087/5209934352234170 -18328204719279909/5209934352234170 -774648955168293/306466726602010 -8589845509135853/10419868704468340 4407694964972630/520993435223417 -27797790719114483/5209934352234170 3906877758209627/5209934352234170 -8334629168139994/520993435223417 208693653955681911/10419868704468340 -13161779277477153/5209934352234170 -26754229271253615/2083973740893668 21160198701944161/2604967176117085 30415896194945793/2604967176117085 -14071617373580031/1041986870446834 49659278226031/801528361882180 -48025704570565091/2604967176117085 4592312528288371/520993435223417 -16411064464860787/5209934352234170 -18718912947890427/2604967176117085 -328009547234591/5209934352234170 23952366375799219/5209934352234170 -211829245490286/153233363301005 -80566297819190013/2083973740893668 1791141094829707/2604967176117085 69169462545938997/2604967176117085 -5083512655516938/520993435223417 11936259061778511/10419868704468340 -83263178105453877/5209934352234170] [482003136372583/520993435223417 -661027343404435/520993435223417 -109217176409340/520993435223417 -801312936668848/520993435223417 484838083938192/520993435223417 -1242008790735896/520993435223417 726701869678963/1041986870446834 197697125514687/520993435223417 136317089473910/520993435223417 -346531298680525/520993435223417 1694668641778800/520993435223417 -1643307467049260/520993435223417 -1442380583900853/520993435223417 -1856545022718787/520993435223417 -754406167113033/520993435223417 3324598448507317/520993435223417 -942015249880442/520993435223417 1343325312578027/1041986870446834 500541107171905/520993435223417 92291323244013/520993435223417 -1316974703454362/520993435223417 663689795745107/520993435223417 -708876861129313/1041986870446834 4861927263139217/1041986870446834 -3490456640820595/520993435223417 1030661090475573/1041986870446834 2007601884691960/520993435223417 -2295124835792897/1041986870446834 -1845339966706482/520993435223417 4555063519030335/1041986870446834 10766346791354/40076418094109 5918955547415169/1041986870446834 -3153046390825075/1041986870446834 940190306042943/1041986870446834 1077531818699764/520993435223417 -66198671847808/520993435223417 -707385324632100/520993435223417 744828954004563/1041986870446834 6475546792617086/520993435223417 -33774008985519/520993435223417 -4541007757211206/520993435223417 1681908657708400/520993435223417 -52604075984445/520993435223417 2734658336082230/520993435223417] [-20669055790961943/10419868704468340 7213443782658357/2604967176117085 213234793499802/520993435223417 32260806266617447/10419868704468340 -21969707922162839/10419868704468340 2680968584500457/520993435223417 -3378392506889542/2604967176117085 -4665994053545701/5209934352234170 -5241255154590683/5209934352234170 6300121551170327/5209934352234170 -37339136836865681/5209934352234170 7196661416747067/1041986870446834 62871685786838953/10419868704468340 36865258478074609/5209934352234170 7891039386345757/2083973740893668 -151522236350948893/10419868704468340 21712911281556401/5209934352234170 -13440733461380257/5209934352234170 -7307839891674823/5209934352234170 -2237559394145459/10419868704468340 3128909688866757/520993435223417 -18280428340505709/5209934352234170 5227132355528671/5209934352234170 -5545349368699097/520993435223417 146183244695634193/10419868704468340 -10793918594447689/5209934352234170 -18178405880125641/2083973740893668 13018453862287108/2604967176117085 21932940848992829/2604967176117085 -9802061619263325/1041986870446834 -28131751851911/47148727169540 -32383416814290363/2604967176117085 3193341676512086/520993435223417 -9368521679723671/5209934352234170 -13504977700205296/2604967176117085 -269883231347584/2604967176117085 16013139456778877/5209934352234170 -4631924132886586/2604967176117085 -55688867361721509/2083973740893668 586921668838146/2604967176117085 47375585700584951/2604967176117085 -7516081432771645/1041986870446834 8544048532392473/10419868704468340 -57599135513279801/5209934352234170] [-510577048438835/520993435223417 708066933873261/520993435223417 178941768096503/1041986870446834 774254079260336/520993435223417 -1055601089264203/1041986870446834 2436446516408519/1041986870446834 -723300446740773/1041986870446834 -300661601369791/520993435223417 -546647188010315/1041986870446834 632332709292831/1041986870446834 -1703982912724012/520993435223417 3977915115722193/1041986870446834 2746605246997439/1041986870446834 1677149062154770/520993435223417 802769144386585/520993435223417 -3469980882865004/520993435223417 1904501343914521/1041986870446834 -513556788666102/520993435223417 -953500616104233/1041986870446834 -555252130141775/1041986870446834 1305204873374774/520993435223417 -837084965343486/520993435223417 504775658848681/1041986870446834 -2662610548859987/520993435223417 7751470725250385/1041986870446834 -378291934098323/520993435223417 -2431946984988062/520993435223417 2753706901655939/1041986870446834 3970853493847145/1041986870446834 -4779870823233231/1041986870446834 -11479408198253/80152836188218 -6230273162128793/1041986870446834 2652849467233077/1041986870446834 -666573599969336/520993435223417 -1182150655610520/520993435223417 67664790648089/1041986870446834 531735431628850/520993435223417 -515330279080980/520993435223417 -6826880698171577/520993435223417 -178221862712841/1041986870446834 4715242035608302/520993435223417 -1668611736795700/520993435223417 106407745341877/1041986870446834 -3126135675920346/520993435223417] [-10615193506278001/5209934352234170 15411340124700641/5209934352234170 967614142219571/2083973740893668 18908735720910629/5209934352234170 -21792645529991171/10419868704468340 5737988820623071/1041986870446834 -3907293427347458/2604967176117085 -3935204360820209/5209934352234170 -11911489609979279/10419868704468340 3270913917094279/2604967176117085 -18926652326313637/2604967176117085 14386325666589593/2083973740893668 65756434414556727/10419868704468340 18945182037610678/2604967176117085 3445313089986073/1041986870446834 -74410451255609811/5209934352234170 44475709096583483/10419868704468340 -13928726666138163/5209934352234170 -19530413123161039/10419868704468340 -9333798420686211/10419868704468340 3073893888889744/520993435223417 -10326227680611678/2604967176117085 1315537626772472/2604967176117085 -6011207188097885/520993435223417 148978401312174667/10419868704468340 -4602882678318063/2604967176117085 -9198417869849665/1041986870446834 15572283073466322/2604967176117085 89467810432879759/10419868704468340 -4937373751623336/520993435223417 -435220984101633/801528361882180 -69713554914367529/5209934352234170 6621277940024213/1041986870446834 -8987454322573469/5209934352234170 -13207145379793764/2604967176117085 3067384805414571/10419868704468340 7532803618938989/2604967176117085 -6933591023151893/5209934352234170 -28795356829806643/1041986870446834 1571377959660303/5209934352234170 48455641731217714/2604967176117085 -3706335786304786/520993435223417 2566254143441177/10419868704468340 -29039241239299677/2604967176117085] [7446973288456504/2604967176117085 -10826524587122384/2604967176117085 -566799600900291/1041986870446834 -24480223559223867/5209934352234170 452449449946011/153233363301005 -3984285928486504/520993435223417 4628756392598324/2604967176117085 2891383953597766/2604967176117085 4374422755092803/2604967176117085 -285259679478746/153233363301005 26104424300084136/2604967176117085 -4914112383185729/520993435223417 -23115028287056569/2604967176117085 -25829845610832574/2604967176117085 -137292088650528/30646672660201 53129496871883624/2604967176117085 -15844158089820351/2604967176117085 8722021024897287/2604967176117085 6556231585563553/2604967176117085 138621132181437/306466726602010 -4371481515305609/520993435223417 28774409853273163/5209934352234170 -2939404098111736/2604967176117085 8551633493331249/520993435223417 -50299487218748809/2604967176117085 5543328904348514/2604967176117085 6379560286544658/520993435223417 -22759435293967256/2604967176117085 -33096442029054423/2604967176117085 403490732649517/30646672660201 -119359499281369/200382090470545 48607313298853026/2604967176117085 -4473411385036836/520993435223417 7433071779511656/2604967176117085 1192529074837771/153233363301005 1963942714620403/2604967176117085 -11330798463247307/2604967176117085 4553016830027487/2604967176117085 39499407285076157/1041986870446834 -12299768274961/153233363301005 -68691125522544672/2604967176117085 4943817774936056/520993435223417 -2106206204425503/5209934352234170 38747690621682321/2604967176117085] [1205808010082687/1041986870446834 -1705531004422243/1041986870446834 -536450584803947/2083973740893668 -1002673537924046/520993435223417 153938613169971/122586690640804 -3065018479859163/1041986870446834 373337162692407/520993435223417 564534339059329/1041986870446834 1105369072037005/2083973740893668 -23487472518856/30646672660201 2135265234782916/520993435223417 -8523986355678399/2083973740893668 -7046807839604749/2083973740893668 -4365203102260723/1041986870446834 -59411422302554/30646672660201 8765001069010197/1041986870446834 -3855828054659839/2083973740893668 1476557431645649/1041986870446834 1601973343754117/2083973740893668 -2393243269541/122586690640804 -1793218783154622/520993435223417 1993303353816225/1041986870446834 -398591955107275/520993435223417 3273627296662946/520993435223417 -16618546523020579/2083973740893668 436378781156047/520993435223417 5477120654061207/1041986870446834 -1532155467895217/520993435223417 -10054511297170907/2083973740893668 172516414622926/30646672660201 11938113799323/160305672376436 7794705606630893/1041986870446834 -4168247842352599/1041986870446834 1516637379497837/1041986870446834 86918667139818/30646672660201 -713687936971559/2083973740893668 -905493074430652/520993435223417 1019875091772669/1041986870446834 16132399051317125/1041986870446834 -7651621723567/61293345320402 -5631577210359370/520993435223417 2176939080927772/520993435223417 -1223865190163697/2083973740893668 3383804413784394/520993435223417] [9749676193809517/10419868704468340 -7482597504778931/5209934352234170 -583858172851955/2083973740893668 -14466729483915783/10419868704468340 5324672209603683/5209934352234170 -2198066572299227/1041986870446834 1739772752931638/2604967176117085 1711301749798172/2604967176117085 3299243169342709/10419868704468340 -3098834586139293/5209934352234170 16934782737155409/5209934352234170 -7561288768114173/2083973740893668 -14324236268877921/5209934352234170 -8327672456899168/2604967176117085 -2745430298623227/2083973740893668 61755311438305047/10419868704468340 -17403955641377333/10419868704468340 3101872225891464/2604967176117085 7590795731708349/10419868704468340 390065483001734/2604967176117085 -71496332497190/30646672660201 8007956792466661/5209934352234170 -1789606749932429/5209934352234170 2203515059943727/520993435223417 -2129766086568163/306466726602010 5424066612022171/5209934352234170 7915073694201143/2083973740893668 -5033496818351252/2604967176117085 -39967783397073979/10419868704468340 4452203891492939/1041986870446834 514631229375719/400764180941090 31383950126379979/5209934352234170 -3203503908611837/1041986870446834 1987403320630137/2604967176117085 5603350340866744/2604967176117085 -2970691948614971/10419868704468340 -4553200928641873/5209934352234170 4828534211859603/5209934352234170 26214200758876661/2083973740893668 -1184303364488453/5209934352234170 -20826912729388574/2604967176117085 102085434046820/30646672660201 -1070236263836771/5209934352234170 27923987164048829/5209934352234170] [4137414545423879/2604967176117085 -5850279517828504/2604967176117085 -162530761509322/520993435223417 -7754239326831161/2604967176117085 4024108514702857/2604967176117085 -4281701620221003/1041986870446834 313390205682869/306466726602010 797408055171866/2604967176117085 2209639771865258/2604967176117085 -2094856130000097/2604967176117085 28224961885371127/5209934352234170 -2541166474924166/520993435223417 -12041968038271109/2604967176117085 -839102742804412/153233363301005 -1302945653838048/520993435223417 28662594368763984/2604967176117085 -8518242335283001/2604967176117085 5640665039702857/2604967176117085 3762743337249018/2604967176117085 707065988676342/2604967176117085 -4646940765079993/1041986870446834 7231660616260064/2604967176117085 -2812579521686267/5209934352234170 4385214868752339/520993435223417 -27711439591801889/2604967176117085 7881776591506603/5209934352234170 3429718374326149/520993435223417 -647922803626038/153233363301005 -15217769583537173/2604967176117085 3536806981781748/520993435223417 12228298035521/200382090470545 26146064916301156/2604967176117085 -2373117692695650/520993435223417 5604057600728267/5209934352234170 10194521151177912/2604967176117085 246905968394363/2604967176117085 -14791265228504029/5209934352234170 1162006356807707/2604967176117085 10392766220209637/520993435223417 -1294416129000909/5209934352234170 -73149526143975389/5209934352234170 2560339192626132/520993435223417 -1579481698873994/2604967176117085 45609998627354687/5209934352234170] [-365833659914475/61293345320402 525496746301305/61293345320402 2546378229993627/2083973740893668 626970937924319/61293345320402 -12859968713822161/2083973740893668 16221109548290691/1041986870446834 -2125839840577006/520993435223417 -134364860184543/61293345320402 -6616253050851163/2083973740893668 1851274599995066/520993435223417 -10844507959438118/520993435223417 41683493700229137/2083973740893668 2191552019308669/122586690640804 11013476249323530/520993435223417 9891117281781103/1041986870446834 -2554976360994121/61293345320402 25232905785978289/2083973740893668 -7837629828666629/1041986870446834 -11508816338748773/2083973740893668 -2675488891306435/2083973740893668 8861339679949273/520993435223417 -5616630724977502/520993435223417 692296269122368/520993435223417 -17080713579278236/520993435223417 86491542503029561/2083973740893668 -162459519395863/30646672660201 -26663889882520283/1041986870446834 8673990485467884/520993435223417 50902832182588181/2083973740893668 -14162290513532137/520993435223417 -134315164211881/160305672376436 -2327391931007729/61293345320402 18689541555420499/1041986870446834 -5968500502264077/1041986870446834 -8016055321942841/520993435223417 -749320103329465/2083973740893668 4627222677456677/520993435223417 -3802309443410703/1041986870446834 -81937370998503849/1041986870446834 671861830760365/1041986870446834 28245749003563813/520993435223417 -10266656410774436/520993435223417 175026474423523/122586690640804 -17105898679791419/520993435223417] [61266604903117451/10419868704468340 -43455332614174913/5209934352234170 -2572214091718981/2083973740893668 -102044137266313769/10419868704468340 31497731690625689/5209934352234170 -15424331012160131/1041986870446834 9933094356271119/2604967176117085 6690843866616811/2604967176117085 32205778585581737/10419868704468340 -19073173012724449/5209934352234170 105813061295952667/5209934352234170 -41229161079837011/2083973740893668 -89723793543259623/5209934352234170 -53424723629139584/2604967176117085 -19346021719114237/2083973740893668 429081142095133001/10419868704468340 -123292393390698249/10419868704468340 18796089692890112/2604967176117085 55582455780725347/10419868704468340 8137128970137799/5209934352234170 -8706988209488639/520993435223417 26849510519014849/2604967176117085 -12438566015053287/5209934352234170 16391985600101269/520993435223417 -211669935272050513/5209934352234170 24334215398211583/5209934352234170 53817000241260129/2083973740893668 -40776491764901366/2604967176117085 -245322477036896247/10419868704468340 27848877487154115/1041986870446834 395792044527977/400764180941090 190350009009342647/5209934352234170 -18562291823725291/1041986870446834 15890941913286951/2604967176117085 38440017016604902/2604967176117085 -2461716355605813/10419868704468340 -45423470097663809/5209934352234170 20289687810146869/5209934352234170 160689209283547019/2083973740893668 -2418877130083019/5209934352234170 -139663015530790412/2604967176117085 20604978593907159/1041986870446834 -9973444095691493/5209934352234170 170191056146485927/5209934352234170] [21026408136250611/5209934352234170 -29391388217228521/5209934352234170 -808864500783837/1041986870446834 -34682691710792889/5209934352234170 11064339573538164/2604967176117085 -10552700615203041/1041986870446834 13944635915609751/5209934352234170 4604624958528197/2604967176117085 10648720805847907/5209934352234170 -13234349514227473/5209934352234170 36197717712178617/2604967176117085 -14584607790619663/1041986870446834 -31008851161169333/2604967176117085 -36601688917607938/2604967176117085 -6675541560321571/1041986870446834 146139418721456371/5209934352234170 -42577564247794779/5209934352234170 13196706928688379/2604967176117085 17510433313349577/5209934352234170 1592243184087014/2604967176117085 -12068208417560981/1041986870446834 18009236770527603/2604967176117085 -4958849942505377/2604967176117085 22372028095423803/1041986870446834 -72750867962899268/2604967176117085 19073835327290881/5209934352234170 1070766623625363/61293345320402 -57195586678457109/5209934352234170 -86575745895801897/5209934352234170 9583198146401868/520993435223417 172758077595777/200382090470545 65075538437999432/2604967176117085 -6395792869784847/520993435223417 10479699128808407/2604967176117085 53316758195552573/5209934352234170 945899607580957/5209934352234170 -1622707383789039/306466726602010 7832026703753504/2604967176117085 55527798706021205/1041986870446834 -979954181464509/2604967176117085 -94239537462428044/2604967176117085 7325953506139351/520993435223417 -2813368167319678/2604967176117085 116038206744557559/5209934352234170] [-86866424560216583/10419868704468340 30382194981852427/2604967176117085 1697357685138823/1041986870446834 147884131652102577/10419868704468340 -86692476034568649/10419868704468340 10933050952578479/520993435223417 -14152257021212977/2604967176117085 -17494539957091121/5209934352234170 -22749764012367923/5209934352234170 26112902412727207/5209934352234170 -148436721474395631/5209934352234170 28826968291634259/1041986870446834 254031332346291313/10419868704468340 74802578164515062/2604967176117085 26973091502133445/2083973740893668 -602097859283538263/10419868704468340 86383844155921441/5209934352234170 -52052230309624027/5209934352234170 -37249954463519523/5209934352234170 -23208477357140099/10419868704468340 12153546111808726/520993435223417 -37990731547468217/2604967176117085 849894725882953/306466726602010 -23342431810814821/520993435223417 594430693290024793/10419868704468340 -35948108137577419/5209934352234170 -75123941117187441/2083973740893668 60188217353168173/2604967176117085 175548043464641033/5209934352234170 -39295525644386443/1041986870446834 -712378853290537/801528361882180 -135139017573525993/2604967176117085 12868242972336122/520993435223417 -44470737871383121/5209934352234170 -55272365437111201/2604967176117085 -1108498372800453/5209934352234170 62327979815416587/5209934352234170 -14521167600671746/2604967176117085 -225806511768179331/2083973740893668 2033551730523306/2604967176117085 195674611206392796/2604967176117085 -14293783031517640/520993435223417 20581150034949273/10419868704468340 -235472126203040731/5209934352234170] [15515082526524741/10419868704468340 -10738984389442363/5209934352234170 -706375832326451/2083973740893668 -26375335499015759/10419868704468340 8097856414095839/5209934352234170 -3782616935009815/1041986870446834 2393873470263609/2604967176117085 2347541259036336/2604967176117085 6534585658226877/10419868704468340 -5285215907200139/5209934352234170 25898441357708617/5209934352234170 -11141721998258671/2083973740893668 -22119887100190213/5209934352234170 -27185933321982713/5209934352234170 -4577225608502931/2083973740893668 103469304859243431/10419868704468340 -26666575588150799/10419868704468340 4406377906750702/2604967176117085 14083058070257557/10419868704468340 313884176677969/5209934352234170 -2198553227510431/520993435223417 12643157031570953/5209934352234170 -2227078982836317/5209934352234170 4035365203222285/520993435223417 -55856090920404323/5209934352234170 6961754437091983/5209934352234170 13117514747600343/2083973740893668 -9499305096810611/2604967176117085 -65048663384899147/10419868704468340 7134585134197687/1041986870446834 235233173609907/400764180941090 46330178131263817/5209934352234170 -4912387248747809/1041986870446834 4561984600130601/2604967176117085 8586948512483027/2604967176117085 1703798242791597/10419868704468340 -8772218486525989/5209934352234170 7410021260715409/5209934352234170 41490935949408125/2083973740893668 -450857460029419/5209934352234170 -33880145025112207/2604967176117085 2722369246284076/520993435223417 -1508331741094174/2604967176117085 44893308095837067/5209934352234170] [-17408322430150373/5209934352234170 23402095789973713/5209934352234170 592783007781437/1041986870446834 27092386391174487/5209934352234170 -8708227443986387/2604967176117085 8347723782662857/1041986870446834 -10474277655202723/5209934352234170 -4509004246865771/2604967176117085 -8325633934593931/5209934352234170 5495635875932077/2604967176117085 -58797818880768317/5209934352234170 11973509535825011/1041986870446834 24859023681955469/2604967176117085 29553106182004144/2604967176117085 5321093231744143/1041986870446834 -119231098708993733/5209934352234170 33265130886550677/5209934352234170 -10531405678555687/2604967176117085 -13022517495848231/5209934352234170 -2284071805490532/2604967176117085 5124248689257064/520993435223417 -14069824268485759/2604967176117085 4998382843335071/2604967176117085 -17798017137966551/1041986870446834 58742404954460879/2604967176117085 -7136155846666489/2604967176117085 -15333027676838739/1041986870446834 22250132748431576/2604967176117085 69641609028183581/5209934352234170 -15735541856997205/1041986870446834 -125545497174871/200382090470545 -104967526726278417/5209934352234170 10365292305082471/1041986870446834 -19859171147283777/5209934352234170 -43589478026646889/5209934352234170 -2141581237753601/5209934352234170 11146703700372687/2604967176117085 -7108266122851962/2604967176117085 -44877983941454225/1041986870446834 451993199716817/2604967176117085 154553901851849079/5209934352234170 -6103850020378438/520993435223417 3566286648540069/2604967176117085 -47505837012761341/2604967176117085] [13823132465005231/2604967176117085 -19202949703042941/2604967176117085 -549779408368256/520993435223417 -23750492379083219/2604967176117085 14247355058164113/2604967176117085 -7195188207484861/520993435223417 8616475074767726/2604967176117085 9340487977946923/5209934352234170 7200238653008457/2604967176117085 -8439423016850958/2604967176117085 95843849305753533/5209934352234170 -9157606341962833/520993435223417 -40703971493333621/2604967176117085 -48116313501825046/2604967176117085 -4388679991769106/520993435223417 97055129126201406/2604967176117085 -28128461484647149/2604967176117085 16933955148353083/2604967176117085 11692382028361337/2604967176117085 2355701185909073/2604967176117085 -8031976940424524/520993435223417 24882911679511426/2604967176117085 -8719656770041213/5209934352234170 30736251413301553/1041986870446834 -95517080104554036/2604967176117085 22938162368653607/5209934352234170 696719092189816/30646672660201 -75619502433866033/5209934352234170 -57217888264872782/2604967176117085 25335767723337657/1041986870446834 5950250399819/200382090470545 173200797822600033/5209934352234170 -8251485722241084/520993435223417 28434479631790613/5209934352234170 70088996725451181/5209934352234170 783658287801302/2604967176117085 -1258793761127494/153233363301005 9206818609773053/2604967176117085 36424168943723923/520993435223417 -1791735443850588/2604967176117085 -253381305275666241/5209934352234170 9168901884145844/520993435223417 -2542752421597996/2604967176117085 75409196228909704/2604967176117085] [53319940916439533/10419868704468340 -18123202931666982/2604967176117085 -494771396153341/520993435223417 -89628872177698427/10419868704468340 53314482289908969/10419868704468340 -6556853064315546/520993435223417 8073078965424462/2604967176117085 10807841077845761/5209934352234170 12886995958708143/5209934352234170 -16173871386953637/5209934352234170 89817063193897041/5209934352234170 -17816530407060115/1041986870446834 -151988712564040863/10419868704468340 -45544761042936742/2604967176117085 -16510984881594687/2083973740893668 366702083957783143/10419868704468340 -51702901512375041/5209934352234170 30481767881983627/5209934352234170 21042390838188043/5209934352234170 11424064264368469/10419868704468340 -7455676534428779/520993435223417 46276154762563139/5209934352234170 -608948546111833/306466726602010 14171934068945960/520993435223417 -358512541418777743/10419868704468340 19199546521662899/5209934352234170 46707443069424123/2083973740893668 -34966055702548423/2604967176117085 -105808327754287173/5209934352234170 24106880318858033/1041986870446834 84788033906247/801528361882180 80835465232031478/2604967176117085 -7901998079257240/520993435223417 29566005093205301/5209934352234170 32323764339489741/2604967176117085 2706031421061513/5209934352234170 -39348740366361107/5209934352234170 9032152177573701/2604967176117085 137282726045918753/2083973740893668 -369902239719301/2604967176117085 -118685706631985381/2604967176117085 8857426368728178/520993435223417 -20577669219459503/10419868704468340 146720695834114911/5209934352234170] wrong = [-14696045679300035/122586690640804 -31680788519190969/122586690640804 -173539121669256067/2083973740893668 -8970082208693007/520993435223417 2677846486879911/8302684226668 -2175706206202467/1041986870446834 -233207895160333501/2083973740893668 -64596436982968749/520993435223417 6493379136714791/520993435223417 -2064194981455112/30646672660201 260817735315375345/1041986870446834 -582848586104073441/2083973740893668 60632039295691977/2083973740893668 824206274629684755/2083973740893668 14696045679300035/122586690640804 2042243807570359/61293345320402 173539121669256067/2083973740893668 -4931117638622137/122586690640804 8970082208693007/520993435223417 537282565476976913/2083973740893668 99080485157758029/1041986870446834 -33590058432198721/61293345320402 337406582205016901/2083973740893668 406031153636981547/2083973740893668 86387375516969445/2083973740893668 -1093588344341154891/2083973740893668 4791748848213001/30646672660201 -515550677124621143/2083973740893668 851397178340530619/2083973740893668 27718887594691055/122586690640804 4906790829480543/30646672660201 -604711016841917287/1041986870446834 98983492074229215/122586690640804 -43446718660423151/2083973740893668 607514061244034629/1041986870446834 -788600501817583839/1041986870446834 7684086988722172/30646672660201 3199598786496741/1041986870446834 74972426462879835/520993435223417 -1158332254142178383/2083973740893668 -688793874969427833/1041986870446834 66693976520600499/122586690640804 344611985549766995/1041986870446834 192319226654859353/2083973740893668] [1166196485982152623/5209934352234170 721226450105879056/2604967176117085 169683501973448977/1041986870446834 286895197962801349/5209934352234170 -4035497374342925/8302684226668 -18397226743591731/2604967176117085 903321310342139038/2604967176117085 1526284672342869467/10419868704468340 -37591363177421982/153233363301005 671825482763086481/2604967176117085 -3290080967084070193/5209934352234170 1491219840038160511/2604967176117085 -289831638250411471/2604967176117085 -6685979157029822593/10419868704468340 -1160986551629918453/5209934352234170 -2067738802858025517/10419868704468340 -169683501973448977/1041986870446834 408717383930263337/2604967176117085 -286895197962801349/5209934352234170 -831024535413685519/2083973740893668 518550924558072051/2604967176117085 1424743705408959573/2083973740893668 -616774920969259688/2604967176117085 -1230786666371798123/5209934352234170 256148772353990094/2604967176117085 522150154322944350/520993435223417 -182091653653074501/2604967176117085 392507645261368791/5209934352234170 -792239839422681803/1041986870446834 -817166997565490707/10419868704468340 -1978421319490445127/5209934352234170 921967188186879847/1041986870446834 -10008624327468314089/10419868704468340 2112733824005649199/10419868704468340 -1268167127882573045/1041986870446834 4030152327033603802/2604967176117085 -601040788385010486/520993435223417 334299975986598093/5209934352234170 -1101077034125611991/5209934352234170 15693009184878098207/10419868704468340 664571491340719875/520993435223417 -8119111885564899853/10419868704468340 -5104108005333098493/5209934352234170 -23948204767155683/2083973740893668] [1118900892088005177/5209934352234170 1398994781837888123/5209934352234170 80304832482816629/520993435223417 273166820920051751/5209934352234170 -1939974225575275/4151342113334 5446617377953151/2604967176117085 1726796261155858979/5209934352234170 370697022015469082/2604967176117085 -1225419338406102947/5209934352234170 1329441860384466143/5209934352234170 -3176200471750458627/5209934352234170 1445018550404007659/2604967176117085 -516368851847102713/5209934352234170 -1644327528679577383/2604967176117085 -1118900892088005177/5209934352234170 -1023430801063663449/5209934352234170 -80304832482816629/520993435223417 771818669969844441/5209934352234170 -267956886567817581/5209934352234170 -202936459504035559/520993435223417 523361719373815104/2604967176117085 341892300679368516/520993435223417 -1158913416762334449/5209934352234170 -1183508564146978577/5209934352234170 509684745399875977/5209934352234170 1006260463327502527/1041986870446834 -303084792994334653/5209934352234170 163707601990341777/2604967176117085 -383117697182858098/520993435223417 -187781990387112337/2604967176117085 -945359781028924809/2604967176117085 892806449627465143/1041986870446834 -4817917788631573283/5209934352234170 1020417233214033283/5209934352234170 -1226263379908605323/1041986870446834 3875899063352589578/2604967176117085 -1153576478655125139/1041986870446834 330941576712812257/5209934352234170 -541843039167861822/2604967176117085 3770778498591953247/2604967176117085 1284562832390157387/1041986870446834 -1952578350365471728/2604967176117085 -2460082685485369586/2604967176117085 -2025630637989671/1041986870446834] [142621484182955109/520993435223417 435673987262023509/1041986870446834 410209625712457991/2083973740893668 7140235782221331/122586690640804 -2650116411383019/4151342113334 -2382692685790967/1041986870446834 769351602212469629/2083973740893668 13040457116012685/61293345320402 -225093963426836987/1041986870446834 558732854647988375/2083973740893668 -370696923679023966/520993435223417 1423387431517308843/2083973740893668 -236184377772666961/2083973740893668 -431470342771900353/520993435223417 -142621484182955109/520993435223417 -100425059064718068/520993435223417 -408125651971564323/2083973740893668 165986276866774747/1041986870446834 -7140235782221331/122586690640804 -271864578170612359/520993435223417 108665353471368035/1041986870446834 502783603111604036/520993435223417 -652649072722424221/2083973740893668 -20715959120824355/61293345320402 28856804649716917/520993435223417 2543979256032103797/2083973740893668 -352419454299515243/2083973740893668 492227504091604959/2083973740893668 -28611708413385154/30646672660201 -234823869132587373/1041986870446834 -451229245232684965/1041986870446834 1208908375598362487/1041986870446834 -1441241193485231581/1041986870446834 5615258016697493/30646672660201 -753135036622396123/520993435223417 1925059364413419385/1041986870446834 -1199144014969370973/1041986870446834 55013623633999821/1041986870446834 -17208189326449377/61293345320402 868432467904966165/520993435223417 1617659363999939115/1041986870446834 -1090965782872988559/1041986870446834 -555245094411090030/520993435223417 -2316904538076450/30646672660201] [3042595783921491/7758651306380 1249407610494006/1939662826595 7469038968996743/26379414441692 2613262862932029/32974268052115 -49284450409949/52548634346 -269110137973502/32974268052115 65644840600577999/131897072208460 10596971725076481/32974268052115 -8554740519721523/32974268052115 1361521521091347/3879325653190 -64801304062968381/65948536104230 127244484445439683/131897072208460 -20403512053624333/131897072208460 -39646155389295484/32974268052115 -3042595783921491/7758651306380 -1865855710466577/7758651306380 -7469038968996743/26379414441692 1623275960362853/7758651306380 -2613262862932029/32974268052115 -10036654216694795/13189707220846 1950797808631367/32974268052115 2269217466209397/1551730261276 -61424134289907279/131897072208460 -67686655097826137/131897072208460 4760285894034947/131897072208460 45986676793258171/26379414441692 -1155917261472277/3879325653190 56911625695867339/131897072208460 -35262355309477417/26379414441692 -3131774731509447/7758651306380 -1166467936071086/1939662826595 11203525634795997/6594853610423 -16343717773023009/7758651306380 29651371580399393/131897072208460 -26925703489440147/13189707220846 172908781087228123/65948536104230 -1160542151477707/775865130638 1948781261161673/32974268052115 -13550386178234501/32974268052115 301530387802216189/131897072208460 29171067744539457/13189707220846 -12046839905068833/7758651306380 -95406952760957571/65948536104230 -4047730949379229/26379414441692] [393457915955155795/2083973740893668 649129603370143555/2083973740893668 71752139418743623/520993435223417 79742846233988231/2083973740893668 -940416245127621/2075671056667 -8277299442667131/1041986870446834 126518098955420722/520993435223417 318488379590489971/2083973740893668 -3870254646769500/30646672660201 348483856377228409/2083973740893668 -496293974180555337/1041986870446834 485666648594422455/1041986870446834 -79801006922772555/1041986870446834 -300209254223205111/520993435223417 -393457915955155795/2083973740893668 -241794966433677973/2083973740893668 -71752139418743623/520993435223417 212124570824721651/2083973740893668 -79742846233988231/2083973740893668 -191660703402929347/520993435223417 28075049981156977/1041986870446834 1482408041489170711/2083973740893668 -120787171167963135/520993435223417 -519843092920875869/2083973740893668 33627590511874273/2083973740893668 441617647071023991/520993435223417 -308888355300248717/2083973740893668 224183251981830201/1041986870446834 -1347047669168500055/2083973740893668 -203667318468232791/1041986870446834 -302791243389938723/1041986870446834 427705180929962218/520993435223417 -1065768822429657133/1041986870446834 113181199110554957/1041986870446834 -515974753665884699/520993435223417 664560440069279955/520993435223417 -760465881104265785/1041986870446834 12178754503084863/520993435223417 -208362523841991209/1041986870446834 580564143151864348/520993435223417 558046148102231365/520993435223417 -394576161069964266/520993435223417 -727017973976717251/1041986870446834 -38704325251673960/520993435223417] [319569458144426357/10419868704468340 74069494379324032/2604967176117085 21877384048362091/1041986870446834 88073070877542691/10419868704468340 -260912314526325/4151342113334 10231048877389671/5209934352234170 138348284462436486/2604967176117085 93433148125119027/5209934352234170 -113236770553522738/2604967176117085 456102818550164403/10419868704468340 -484907045117952151/5209934352234170 12482760895040351/153233363301005 -40477430469851477/2604967176117085 -224363074940417564/2604967176117085 -319569458144426357/10419868704468340 -360293371096065559/10419868704468340 -21877384048362091/1041986870446834 269199671234727501/10419868704468340 -88073070877542691/10419868704468340 -107374840102782149/2083973740893668 239845800029850489/5209934352234170 156597417956921049/2083973740893668 -65409203531158106/2604967176117085 -131236683023138211/5209934352234170 13803163499696261/612933453204020 140257016187797313/1041986870446834 54470747968784257/10419868704468340 -1969587078542292/153233363301005 -217357529274617747/2083973740893668 64015393578769431/10419868704468340 -294384564689576929/5209934352234170 238352821994997299/2083973740893668 -1079265067301901373/10419868704468340 94445815556405057/2604967176117085 -88361108211207540/520993435223417 1096787400736796263/5209934352234170 -96514990625963921/520993435223417 156804334290145067/10419868704468340 -143118058658939427/5209934352234170 135663840790352047/612933453204020 362401621647844125/2083973740893668 -471805049622848013/5209934352234170 -91799616644781001/612933453204020 17921561636159541/2083973740893668] [148039376975051347/520993435223417 938221517416498031/2083973740893668 422148158443162069/2083973740893668 123099929338636925/2083973740893668 -2784321690315483/4151342113334 1296438767045803/1041986870446834 781477274586969465/2083973740893668 472856535671025611/2083973740893668 -108652364104328615/520993435223417 564068432556031477/2083973740893668 -380110151199414222/520993435223417 86828197231539065/122586690640804 -230485035702458159/2083973740893668 -454566802301680108/520993435223417 -148039376975051347/520993435223417 -200080582039766379/1041986870446834 -422148158443162069/2083973740893668 82925125865455624/520993435223417 -123099929338636925/2083973740893668 -572540564956303599/1041986870446834 89356418961828755/1041986870446834 534261116162902335/520993435223417 -677278587542286065/2083973740893668 -373662040811828595/1041986870446834 2793679460323081/61293345320402 2634677020132788971/2083973740893668 -386930664580069697/2083973740893668 32584904755527325/122586690640804 -1011927799013288923/1041986870446834 -538060353336965273/2083973740893668 -230964502840506971/520993435223417 635702654612744916/520993435223417 -3075265982068107371/2083973740893668 382834180479102315/2083973740893668 -776189143654126351/520993435223417 990904898722171702/520993435223417 -596129450423732942/520993435223417 26119166425181714/520993435223417 -309563080379895683/1041986870446834 207798154064881673/122586690640804 1676469724105166239/1041986870446834 -2293971146399687045/2083973740893668 -33081790840471773/30646672660201 -180012460011902293/2083973740893668] [129723129425577243/612933453204020 221275435663784947/612933453204020 78334668314297698/520993435223417 427567672340647443/10419868704468340 -2133781280598593/4151342113334 6656573509630003/5209934352234170 1371220740373078901/5209934352234170 1854226100157900007/10419868704468340 -670026671536314223/5209934352234170 113922248490502407/612933453204020 -1368029090750118094/2604967176117085 1360955887557707511/2604967176117085 -392770404070381087/5209934352234170 -3446784938624884609/5209934352234170 -129723129425577243/612933453204020 -38972620454293693/306466726602010 -78334668314297698/520993435223417 66683701581069919/612933453204020 -427567672340647443/10419868704468340 -877275752122805247/2083973740893668 97542113535053397/5209934352234170 49584020161970101/61293345320402 -1329541265555205541/5209934352234170 -2967280195210857791/10419868704468340 132214435681297651/10419868704468340 492281758563736113/520993435223417 -102889446332830047/612933453204020 1298867636967849501/5209934352234170 -1511133987590069175/2083973740893668 -143330194755197561/612933453204020 -98203415503323581/306466726602010 1950517928724192601/2083973740893668 -717115637283485957/612933453204020 301708228348293211/2604967176117085 -573221394054150896/520993435223417 3673809858762858817/2604967176117085 -23733102964299337/30646672660201 266356058994009541/10419868704468340 -1197813113364005871/5209934352234170 12649507427240728797/10419868704468340 2499158445152177793/2083973740893668 -131144840302793626/153233363301005 -7939869387792609161/10419868704468340 -173603340622436897/2083973740893668] [3732393160991530843/10419868704468340 3152746781000311351/5209934352234170 135165940071418134/520993435223417 743842913787319659/10419868704468340 -3599648992535223/4151342113334 -39706129761241831/5209934352234170 2322059982205192113/5209934352234170 1558629688427554203/5209934352234170 -576274748567606557/2604967176117085 3222099026686339947/10419868704468340 -4619219910516530679/5209934352234170 4575247945688802051/5209934352234170 -356897082515220738/2604967176117085 -5758194700588175987/5209934352234170 -3732393160991530843/10419868704468340 -1086865446467540113/5209934352234170 -135165940071418134/520993435223417 1934310683943490059/10419868704468340 -743842913787319659/10419868704468340 -1465194906467952109/2083973740893668 128275013749222721/5209934352234170 713373124386931029/520993435223417 -2285590441739552923/5209934352234170 -5023244499434028293/10419868704468340 193427769152797243/10419868704468340 833023333236029490/520993435223417 -3065800996119314847/10419868704468340 2249684926830755493/5209934352234170 -2549874131428120201/2083973740893668 -1032940667266385619/2604967176117085 -2833351922467510451/5209934352234170 3272218700720634055/2083973740893668 -10286478024869621641/5209934352234170 1968504334805729927/10419868704468340 -970794240483564709/520993435223417 12503511418031384057/5209934352234170 -1375414054897187923/1041986870446834 466843020540676243/10419868704468340 -1989384274877616913/5209934352234170 10753374485707329293/5209934352234170 4217409080276516261/2083973740893668 -15053178485848720719/10419868704468340 -13506653253742229343/10419868704468340 -157096038458469633/1041986870446834] [-265722549509661/5283909079345 -3149183149081891/21135636317380 -1313603332062261/35930581739546 -571943088247207/179652908697730 44608447550215/286299456092 414516642365908/89826454348865 -2211367938903319/89826454348865 -5704599794154514/89826454348865 -6393358738857801/179652908697730 186530120867/10567818158690 7132077911537237/89826454348865 -9847979775447158/89826454348865 495722778656983/89826454348865 65069832495270049/359305817395460 265722549509661/5283909079345 -263546080277067/21135636317380 1313603332062261/35930581739546 -23094092859581/10567818158690 571943088247207/179652908697730 8954304847159597/71861163479092 10095178516451297/89826454348865 -1280617875834859/4227127263476 8139913925928409/89826454348865 9747755841300222/89826454348865 4734586165334968/89826454348865 -4070752440099649/17965290869773 1215112558128483/10567818158690 -16783859532676354/89826454348865 3136945848378402/17965290869773 1706364614679479/10567818158690 554539191878903/10567818158690 -10075512591131781/35930581739546 4776136264128093/10567818158690 2065042848577112/89826454348865 8305329596596087/35930581739546 -56355781273658727/179652908697730 -19443364623257/2113563631738 3861350422955731/179652908697730 13002835567175773/179652908697730 -14989126932434979/89826454348865 -10030570324031745/35930581739546 3020260031185061/10567818158690 13425244049397709/179652908697730 1297387701394008/17965290869773] [2375347856418318173/5209934352234170 4067526770274191287/5209934352234170 686872471507813265/2083973740893668 923217175164487803/10419868704468340 -4586452534215157/4151342113334 -45814807091821997/5209934352234170 339971390364200661/612933453204020 2012393897026777211/5209934352234170 -1394071094460838863/5209934352234170 4017253662954166279/10419868704468340 -5818792098978706723/5209934352234170 11590152685427128139/10419868704468340 -1799715699451436769/10419868704468340 -3680564918001938757/2604967176117085 -2375347856418318173/5209934352234170 -671088351804324503/2604967176117085 -686872471507813265/2083973740893668 1191705563797706229/5209934352234170 -923217175164487803/10419868704468340 -466996291962560416/520993435223417 45814807091821997/5209934352234170 914225886141167395/520993435223417 -339971390364200661/612933453204020 -3215336672926639323/5209934352234170 34277956400352099/2604967176117085 4221973158670196859/2083973740893668 -4017253662954166279/10419868704468340 5906565157650203427/10419868704468340 -809602851466275524/520993435223417 -2725350066665542281/5209934352234170 -1783526710108012201/2604967176117085 2085192170013125239/1041986870446834 -13209785631685865237/5209934352234170 601471387949931056/2604967176117085 -1227211407544502531/520993435223417 7907829104513262322/2604967176117085 -1702761489919855353/1041986870446834 17535471933799039/306466726602010 -2514179023197040661/5209934352234170 6738416825895773823/2604967176117085 2674646535087900055/1041986870446834 -9618731070155935879/5209934352234170 -8483845359825601463/5209934352234170 -106494295277115684/520993435223417] [253145907552980839/2604967176117085 446311864941092936/2604967176117085 142936131935675357/2083973740893668 188581140955827803/10419868704468340 -490973288977602/2075671056667 6952434885767044/2604967176117085 1192962566471146707/10419868704468340 220342106689883233/2604967176117085 -133102149028133429/2604967176117085 850241236510075219/10419868704468340 -611339531816835729/2604967176117085 2468960318569811509/10419868704468340 -334665856136352989/10419868704468340 -804759994100192532/2604967176117085 -253145907552980839/2604967176117085 -558607268842793437/10419868704468340 -142936131935675357/2083973740893668 237980539371519379/5209934352234170 -188581140955827803/10419868704468340 -403270623361222495/2083973740893668 -6952434885767044/2604967176117085 787423153478600151/2083973740893668 -1192962566471146707/10419868704468340 -347507290535722144/2604967176117085 418776917133503/5209934352234170 891113166325909797/2083973740893668 -850241236510075219/10419868704468340 1282135173829882127/10419868704468340 -344792365402882639/1041986870446834 -1226640190921578307/10419868704468340 -744272354477481057/5209934352234170 896207805494734903/2083973740893668 -5722363227157372499/10419868704468340 127165183845838911/2604967176117085 -517024649130792577/1041986870446834 1655126976133987542/2604967176117085 -343084271544247435/1041986870446834 140726793499314291/10419868704468340 -269176669590887713/2604967176117085 5565442306748829087/10419868704468340 1132574471014220033/2083973740893668 -1024223965187516602/2604967176117085 -3529701510123306111/10419868704468340 -92483329811276267/2083973740893668] [24247130509335731/47148727169540 41501143430147769/47148727169540 59704690473436887/160305672376436 40214688179228983/400764180941090 -797290890352733/638668017436 -2633089832857202/200382090470545 506585050816227269/801528361882180 86657041378866611/200382090470545 -61022121860581698/200382090470545 10257125932136707/23574363584770 -506786352323645071/400764180941090 1008023818984575263/801528361882180 -157030038731381503/801528361882180 -1274660105009515081/801528361882180 -24247130509335731/47148727169540 -13777903950185627/47148727169540 -59704690473436887/160305672376436 12304101704286083/47148727169540 -40214688179228983/400764180941090 -81167832140437049/80152836188218 2633089832857202/200382090470545 18699890925265655/9429745433908 -506585050816227269/801528361882180 -559238244662347927/801528361882180 12757162430732267/801528361882180 367505212263715307/160305672376436 -10257125932136707/23574363584770 514029670917583399/801528361882180 -281415333925546509/160305672376436 -13861619739981071/23574363584770 -18275616106810907/23574363584770 362455677759410081/160305672376436 -33750149514119011/11787181792385 212610079146881483/801528361882180 -213604951368576097/80152836188218 1376699332017042473/400764180941090 -8765594722819229/4714872716954 47858377602295817/801528361882180 -219740007195728607/400764180941090 588473703076541036/200382090470545 465196459085716927/160305672376436 -98444635550545183/47148727169540 -1475120739786348547/801528361882180 -9153787535252831/40076418094109] [-7577386321727934227/10419868704468340 -16296969945533428883/10419868704468340 -279750422784195828/520993435223417 -1126642130287163761/10419868704468340 16012775187340643/8302684226668 175632490436238572/2604967176117085 -1740026044375393111/2604967176117085 -1897323254858268686/2604967176117085 212609482724908033/2604967176117085 -3760749822581666153/10419868704468340 7943514034088852591/5209934352234170 -4371081935737926402/2604967176117085 637543196409830067/2604967176117085 24301080017565687591/10419868704468340 7577386321727934227/10419868704468340 428264126473388221/2604967176117085 279750422784195828/520993435223417 -2534978823248966681/10419868704468340 1126642130287163761/10419868704468340 3188737926544199507/2083973740893668 1666079303078540523/2604967176117085 -3523921096470720407/1041986870446834 2774198013293875856/2604967176117085 12564173986940748997/10419868704468340 2940454707072912703/10419868704468340 -1690553364343160728/520993435223417 10981718834778225773/10419868704468340 -8429455261899345347/5209934352234170 5146067784553101595/2083973740893668 14594333308344344339/10419868704468340 2528091286244225227/2604967176117085 -1801986124641675225/520993435223417 51536180910240632953/10419868704468340 -733994404789059873/10419868704468340 1869752054129237075/520993435223417 -24888085486860865773/5209934352234170 833157370819199523/520993435223417 140852342983870932/2604967176117085 4345324153901356957/5209934352234170 -36349979250091573629/10419868704468340 -2116156301369311347/520993435223417 35345760638062389941/10419868704468340 10701278141615987761/5209934352234170 1363931819354777193/2083973740893668] [-31068386587933612963/10419868704468340 -68214876108620298597/10419868704468340 -4691856927833206695/2083973740893668 -2197495430373744197/5209934352234170 65858580690283379/8302684226668 1217473348667876293/2604967176117085 -27628330398810669391/10419868704468340 -7776861904543082269/2604967176117085 530375417105371152/2604967176117085 -3287814864899900793/2604967176117085 16063101428159717042/2604967176117085 -71067933199158050977/10419868704468340 11825030729850886447/10419868704468340 98278456839949489299/10419868704468340 31078806456638081303/10419868704468340 2641404367648220633/5209934352234170 4691856927833206695/2083973740893668 -10132925053212488849/10419868704468340 2197495430373744197/5209934352234170 3264380834457940788/520993435223417 7907726669270272462/2604967176117085 -14821082591329128539/1041986870446834 48238830696249045911/10419868704468340 13200009431609925562/2604967176117085 14000834914635641387/10419868704468340 -27995099406159314771/2083973740893668 12254111885094907363/2604967176117085 -74643757496898538851/10419868704468340 21044390536943914565/2083973740893668 62932067373323857331/10419868704468340 10300327910286525453/2604967176117085 -29588027091092891281/2083973740893668 216425702021911583987/10419868704468340 -114224422140224063/2604967176117085 15346296731978640595/1041986870446834 -52050503313968467151/2604967176117085 6599914517975181567/1041986870446834 3882479660032350727/10419868704468340 17779468478419464483/5209934352234170 -149012042899035792041/10419868704468340 -34893592148289341111/2083973740893668 74423935693584725637/5209934352234170 86167186429594711403/10419868704468340 6204791433912735201/2083973740893668] [-34337444108346603877/10419868704468340 -75074165141750031553/10419868704468340 -303386316101869883/122586690640804 -1224728496724225989/2604967176117085 4278561520069957/488393189804 1227519561204836747/2604967176117085 -30753047937686188949/10419868704468340 -17193742204625732157/5209934352234170 1323582388017332121/5209934352234170 -3757058728265569397/2604967176117085 35601951970793892561/5209934352234170 -78691792310516001833/10419868704468340 750459367045622769/612933453204020 108914526947636431561/10419868704468340 34337444108346603877/10419868704468340 1557884485936516401/2604967176117085 303386316101869883/122586690640804 -11269469233950513591/10419868704468340 1227333463900343074/2604967176117085 424579488514310423/61293345320402 8489008005711890303/2604967176117085 -16293482739250992871/1041986870446834 52666031823183107969/10419868704468340 14511627158204003133/2604967176117085 15031320468113240013/10419868704468340 -1816035232213539149/122586690640804 13306868395910803007/2604967176117085 -81185400325240306189/10419868704468340 23269087619955329111/2083973740893668 68842627198003965949/10419868704468340 11401728335574279367/2604967176117085 -1923077918566180053/122586690640804 238008992534259960263/10419868704468340 -544794304843061889/5209934352234170 498565134292787037/30646672660201 -57277618914061218939/2604967176117085 7345925967200872341/1041986870446834 3891988113782402263/10419868704468340 19662900184119584927/5209934352234170 -164648673922153402459/10419868704468340 -2265801683339439779/122586690640804 81788278498501013393/5209934352234170 95590932301356135417/10419868704468340 6710355573444625657/2083973740893668] [-19951710366815543443/10419868704468340 -21839749336247711461/5209934352234170 -3001496873718495741/2083973740893668 -1422939973771872487/5209934352234170 10570475588759044/2075671056667 86388269205275913/306466726602010 -17827652894631721671/10419868704468340 -4996279921456846544/2604967176117085 366673671195188362/2604967176117085 -4310998673740934861/5209934352234170 607564808078297931/153233363301005 -45681562234116375897/10419868704468340 7473069203086218867/10419868704468340 929565137081493538/153233363301005 19951710366815543443/10419868704468340 3540171978177979621/10419868704468340 3001496873718495741/2083973740893668 -6535645774015188059/10419868704468340 1422939973771872487/5209934352234170 4193514058498157283/1041986870446834 585999728959534027/306466726602010 -18969877521427602397/2083973740893668 30717030482059058251/10419868704468340 33764125508295838953/10419868704468340 8841713414539923377/10419868704468340 -17944748603315483961/2083973740893668 15543617137157805381/5209934352234170 -47408803428523166211/10419868704468340 13517897154782133193/2083973740893668 40139326694317443301/10419868704468340 13243678070415365751/5209934352234170 -9499892804055197371/1041986870446834 138539306148337903247/10419868704468340 -493673224271319277/10419868704468340 9847930616248889451/1041986870446834 -1960082057734025243/153233363301005 2128568142233407925/520993435223417 1131504637214948981/5209934352234170 11431482284843462073/5209934352234170 -95656397562698462051/10419868704468340 -11192833280412144671/1041986870446834 95201700792377036469/10419868704468340 13874637592223259977/2604967176117085 3926406970463515763/2083973740893668] [-20578050078090867333/10419868704468340 -22463612213687305851/5209934352234170 -770910928425607360/520993435223417 -2948676182921956349/10419868704468340 10897078093207485/2075671056667 1420623824745510691/5209934352234170 -9236569288899685673/5209934352234170 -5153369566135508824/2604967176117085 816499599228827589/5209934352234170 -9096658665457479617/10419868704468340 21348127829072874329/5209934352234170 -11796314864619774513/2604967176117085 1896298413647912233/2604967176117085 32660628040370430857/5209934352234170 20578050078090867333/10419868704468340 1905071787025958653/5209934352234170 771431921860830777/520993435223417 -6758170430875083839/10419868704468340 2948676182921956349/10419868704468340 8652055111792325611/2083973740893668 10082911224987536669/5209934352234170 -9750229653020609729/1041986870446834 15717727623078993153/5209934352234170 34710191836784192623/10419868704468340 8949414968001310717/10419868704468340 -9242332738949715833/1041986870446834 31697353885449309077/10419868704468340 -12100246191493140079/2604967176117085 13947796363563393827/2083973740893668 10279270213330673599/2604967176117085 6834055127241487793/2604967176117085 -19592721517372640551/2083973740893668 35607380239395177248/2604967176117085 -738441893113745447/10419868704468340 10154794526051042817/1041986870446834 -34276519331915332141/2604967176117085 2205449055947318322/520993435223417 2179482160577897897/10419868704468340 11793928923310711773/5209934352234170 -49323965018410676043/5209934352234170 -23070913760782624941/2083973740893668 97830899013025699249/10419868704468340 57397230141866580023/10419868704468340 998664304586679160/520993435223417] [-322456979962738753/153233363301005 -2808716678507578103/612933453204020 -3277111763051547725/2083973740893668 -3163947569322930627/10419868704468340 46430774894202489/8302684226668 1419059072321583133/5209934352234170 -19768182776162694243/10419868704468340 -5492736430669864567/2604967176117085 942336942263101157/5209934352234170 -583057474159378793/612933453204020 22795425802180735107/5209934352234170 -50345300718890737771/10419868704468340 7945786610886327791/10419868704468340 69746653269959424097/10419868704468340 322456979962738753/153233363301005 248467360441377989/612933453204020 3277111763051547725/2083973740893668 -212828866496996943/306466726602010 3163947569322930627/10419868704468340 4612175293127525967/1041986870446834 10532530331703602847/5209934352234170 -1218057723313600817/122586690640804 33251492879744726203/10419868704468340 36893375752571911369/10419868704468340 2330690472748395554/2604967176117085 -19678636283671517039/2083973740893668 1965835344587647913/612933453204020 -51058990324696615293/10419868704468340 7434187009121885855/1041986870446834 1280124659033100057/306466726602010 857742826422474449/306466726602010 -20876391110958983005/2083973740893668 2224751323768895547/153233363301005 -1022325178131687541/10419868704468340 5411753134360460315/520993435223417 -36440754780042760783/2604967176117085 138935952844282946/30646672660201 2243952324588059591/10419868704468340 12572633780055997119/5209934352234170 -26290247402828259427/2604967176117085 -24578599236609684781/2083973740893668 6113065950203556701/612933453204020 61290771542916498909/10419868704468340 1049319027037982673/520993435223417] [-34162550977035504399/10419868704468340 -74822881346747129311/10419868704468340 -1284788103470511350/520993435223417 -4861681157315435667/10419868704468340 18100694703991886/2075671056667 2522505834017495363/5209934352234170 -15258072740509552349/5209934352234170 -34222599869253786803/10419868704468340 622411834402417091/2604967176117085 -14744065763315720011/10419868704468340 17684702909460988246/2604967176117085 -19556622679298694699/2604967176117085 3200236301293774439/2604967176117085 54121230617356152901/5209934352234170 34162550977035504399/10419868704468340 6042937135630204553/10419868704468340 1284788103470511350/520993435223417 -11182946163305177697/10419868704468340 4861681157315435667/10419868704468340 7181959677507043401/1041986870446834 17082477133439686347/5209934352234170 -32492354824052173567/2083973740893668 26318763370302695259/5209934352234170 57854206085497263099/10419868704468340 15149161961041751181/10419868704468340 -7683666099988853340/520993435223417 53287160101144109671/10419868704468340 -20313921227885320077/2604967176117085 23146997956998229553/2083973740893668 34389972105558462379/5209934352234170 11336374285085170524/2604967176117085 -16268508418910970173/1041986870446834 118642327733503998573/5209934352234170 -208233372716687094/2604967176117085 8432351958614468597/520993435223417 -57068130163251967693/2604967176117085 3642096100348779406/520993435223417 1973591619927714903/5209934352234170 19581373862420030409/5209934352234170 -40947127175563305447/2604967176117085 -19169194564783269677/1041986870446834 81543622660653798981/5209934352234170 47485608327742569687/5209934352234170 1682335717604604188/520993435223417] [-21944439956445319129/10419868704468340 -47584066594744712151/10419868704468340 -1631476419194582685/1041986870446834 -3195979630977689737/10419868704468340 23210697668635239/4151342113334 1270338443541120703/5209934352234170 -4981609857686778712/2604967176117085 -21981074456883546343/10419868704468340 1035298529083822287/5209934352234170 -10238749697782355421/10419868704468340 11440177668138851101/2604967176117085 -12621590157315119854/2604967176117085 1939479941491161579/2604967176117085 17503666523994299013/2604967176117085 21944439956445319129/10419868704468340 2242958514043255089/5209934352234170 1631476419194582685/1041986870446834 -7275419041039516017/10419868704468340 3195979630977689737/10419868704468340 9229598868460261621/2083973740893668 10233196606191926657/5209934352234170 -10308831781850120477/1041986870446834 8216979090424198282/2604967176117085 36711524043945573709/10419868704468340 9079101187043339191/10419868704468340 -9825343976683622967/1041986870446834 32839444917774184881/10419868704468340 -25139474865515524149/5209934352234170 14889325577644132001/2083973740893668 43098149566658201973/10419868704468340 14615139433094651743/5209934352234170 -20879285124374257931/2083973740893668 150672384413245916921/10419868704468340 -696508822671276083/5209934352234170 5413730163064158958/520993435223417 -36316415779528122663/2604967176117085 4760681947835264093/1041986870446834 1962118027485338381/10419868704468340 6290811572503874437/2604967176117085 -105218934162601093213/10419868704468340 -24564434656166525139/2083973740893668 51697798214937222331/5209934352234170 61581111289194600549/10419868704468340 4104334630830348181/2083973740893668] [-9859986419815376425/2083973740893668 -21591984015649576455/2083973740893668 -1854593996660319133/520993435223417 -1403929373276822871/2083973740893668 104470949184025513/8302684226668 364685467519466076/520993435223417 -2201822054476821048/520993435223417 -4937575122561768337/1041986870446834 181231314918942598/520993435223417 -4257835798196604551/2083973740893668 10210270057330164427/1041986870446834 -5644469979572025842/520993435223417 924158851091895373/520993435223417 31238633539799387177/2083973740893668 9859986419815376425/2083973740893668 436323122459053521/520993435223417 1854593996660319133/520993435223417 -3228394260072113719/2083973740893668 1403929373276822871/2083973740893668 20725881511834789431/2083973740893668 2464308885743688234/520993435223417 -23441116710182248541/1041986870446834 3798145940001370736/520993435223417 16697611532078833193/2083973740893668 4366907558387552033/2083973740893668 -11089522807050244441/520993435223417 15384171600827898003/2083973740893668 -11725100142742089309/1041986870446834 33403311025007845853/2083973740893668 19846691525813362371/2083973740893668 3272095169971872536/520993435223417 -23474044878512596597/1041986870446834 68474217436014073537/2083973740893668 -243356186953986643/2083973740893668 12169920558968565912/520993435223417 -32945214351167474119/1041986870446834 5258487328737974504/520993435223417 574509684776572879/1041986870446834 5648080772737250971/1041986870446834 -47280756498412082897/2083973740893668 -27665193676564557611/1041986870446834 47072743719685684439/2083973740893668 6853297226562820763/520993435223417 9713837588063936397/2083973740893668] [-944175180219388913/200382090470545 -8261792170288102913/801528361882180 -283930549660877773/80152836188218 -269367257087884363/400764180941090 3999933041554413/319334008718 137551370777059522/200382090470545 -1689127643039459147/400764180941090 -3781390008079768709/801528361882180 142645407069385411/400764180941090 -821330296759566509/400764180941090 3913467590510518631/400764180941090 -2162698377000685902/200382090470545 352644978483583027/200382090470545 5985656613956509683/400764180941090 944175180219388913/200382090470545 677674924294075139/801528361882180 283930549660877773/80152836188218 -309557812792235909/200382090470545 269367257087884363/400764180941090 396809548011101255/40076418094109 938901219230708218/200382090470545 -3587252710602815097/160305672376436 2902641582929079667/400764180941090 6389377159205119327/801528361882180 831351154862040059/400764180941090 -1698323368267396571/80152836188218 2936563643766639529/400764180941090 -4477752780851406407/400764180941090 639688975558532809/40076418094109 3792058622997013887/400764180941090 1253732993011624822/200382090470545 -1797522136616171955/80152836188218 13099027861651089199/400764180941090 -53208566845533419/400764180941090 932294777201985160/40076418094109 -6305033269097036689/200382090470545 403609694101258379/40076418094109 216974199075657439/400764180941090 2161664627204420717/400764180941090 -4527864187201558946/200382090470545 -1059292659894111345/40076418094109 4502099958283142014/200382090470545 5254127488645870641/400764180941090 185316483406098727/40076418094109] [-149525049919916369/41513421133340 -162586304725847413/20756710566670 -1313535231563023/488393189804 -10803363068158761/20756710566670 2335547744995875/244196594902 9526950669127483/20756710566670 -135039352406328653/41513421133340 -37423082912606757/10378355283335 3285740621940171/10378355283335 -34014282281536463/20756710566670 77775781797487101/10378355283335 -343394127229827991/41513421133340 3179904503867583/2441965949020 118941801887181333/10378355283335 149525049919916369/41513421133340 14602615924386839/20756710566670 1313535231563023/488393189804 -49393124639716697/41513421133340 10803363068158761/20756710566670 924162367025088/122098297451 71444977251452187/20756710566670 -70504656140102511/4151342113334 226119798372876613/41513421133340 62793576712298061/10378355283335 63257043637771131/41513421133340 -7888603734452603/488393189804 113533240462449233/20756710566670 -347027473402631473/41513421133340 101373335406443011/8302684226668 73991844400730287/10378355283335 99459087279816533/20756710566670 -4183384085856247/244196594902 257554792713179984/10378355283335 -1894654148787534/10378355283335 4340755912842281/244196594902 -248265545882988888/10378355283335 32286944231485953/4151342113334 7466817732739063/20756710566670 85590277084745509/20756710566670 -358549432688505729/20756710566670 -4926573912458581/244196594902 353805298525245821/20756710566670 209140544980600847/20756710566670 14248486137655447/4151342113334] [-3339821926449803082/2604967176117085 -29544483363929568637/10419868704468340 -2037679850261315791/2083973740893668 -1849421245928832099/10419868704468340 28335580378782137/8302684226668 1254423831547618111/5209934352234170 -11723010200925692651/10419868704468340 -6682887792652427653/5209934352234170 173710067630965142/2604967176117085 -5222369898839625327/10419868704468340 6865496562817779177/2604967176117085 -30417807408317061737/10419868704468340 5385137163496707907/10419868704468340 41915310687776744969/10419868704468340 3339821926449803082/2604967176117085 1952751150441977381/10419868704468340 2037679850261315791/2083973740893668 -1081958966589150766/2604967176117085 1849421245928832099/10419868704468340 5603443994221510989/2083973740893668 7190879753423971459/5209934352234170 -12861197754035391707/2083973740893668 21205090721991882051/10419868704468340 11445318417634628859/5209934352234170 1587911461659535663/2604967176117085 -12075353600622826515/2083973740893668 21800381007648754267/10419868704468340 -33048905034860469061/10419868704468340 2257547617249335466/520993435223417 6897933053371897814/2604967176117085 4421780893038953848/2604967176117085 -3178918667323956844/520993435223417 23462618033526631793/2604967176117085 59638931530608042/2604967176117085 6593874554963676857/1041986870446834 -22549779362189261666/2604967176117085 1401207799114498272/520993435223417 488117143006658078/2604967176117085 3807643855715706494/2604967176117085 -16015716286429393389/2604967176117085 -3756319010765839083/520993435223417 16161644538056017411/2604967176117085 18386673936290782049/5209934352234170 697691481805733187/520993435223417] [-922013049313650273/612933453204020 -505730797923395098/153233363301005 -592193622359637248/520993435223417 -2216985814789327553/10419868704468340 8300191653054789/2075671056667 1248917350998238897/5209934352234170 -6971230009633311991/5209934352234170 -3920875698618663373/2604967176117085 549017721509205943/5209934352234170 -389549459066528537/612933453204020 16212237220192837953/5209934352234170 -8959936323430791656/2604967176117085 3001753334276461887/5209934352234170 12382114051956742252/2604967176117085 922013049313650273/612933453204020 156549299120846071/612933453204020 592193622359637248/520993435223417 -301505931529146439/612933453204020 2216985814789327553/10419868704468340 6580599791773025371/2083973740893668 7983086321160710343/5209934352234170 -878845366234806635/122586690640804 12165534558810779481/5209934352234170 6654320585788604884/2604967176117085 7041769692460302849/10419868704468340 -7060021986092381551/1041986870446834 1456053667641523337/612933453204020 -9412123429686958648/2604967176117085 10608991564545310603/2083973740893668 1866373892572734321/612933453204020 305879745210699178/153233363301005 -14913992211440033527/2083973740893668 6417150022867613567/612933453204020 -60748564473812301/2604967176117085 7739045598644941557/1041986870446834 -26258662946068778967/2604967176117085 196189801824299879/61293345320402 2005972949822344569/10419868704468340 8950723338429680011/5209934352234170 -75188004327949885027/10419868704468340 -17598477870310579949/2083973740893668 1103939870095623696/153233363301005 43454274978493540901/10419868704468340 3138881318741573881/2083973740893668] [-480817343828471433/80152836188218 -2106206416599848919/160305672376436 -723892577572072583/160305672376436 -136818908921900301/160305672376436 10188194675910823/638668017436 71664207341385347/80152836188218 -858591230948776171/160305672376436 -240745260576381929/40076418094109 17567242022736733/40076418094109 -414504841408959453/160305672376436 497831855313320533/40076418094109 -2201616334578209625/160305672376436 361250806864555033/160305672376436 3046044551594918737/160305672376436 480817343828471433/80152836188218 84786557033390919/80152836188218 723892577572072583/160305672376436 -157367249793341793/80152836188218 136818908921900301/160305672376436 2021012099499159645/160305672376436 481630820865883507/80152836188218 -1143373920564851003/40076418094109 1482821519182617955/160305672376436 1629075552798850023/160305672376436 213284765467611853/80152836188218 -4326673128926799127/160305672376436 1502178828483077713/160305672376436 -2289560859215138321/160305672376436 1628693847760674291/80152836188218 1936633302533067081/160305672376436 319092296810906613/40076418094109 -2289124481576388109/80152836188218 6679702098859252931/160305672376436 -22948152919061075/160305672376436 2373954298526080271/80152836188218 -1606960397871195173/40076418094109 1025471806141196739/80152836188218 56647150545132425/80152836188218 275320356845106954/40076418094109 -4611418711935503953/160305672376436 -2698150435839597979/80152836188218 4592410361786023069/160305672376436 1336277669788842493/80152836188218 948800093870370257/160305672376436] [5402994840286597/612933453204020 2715238236630697/153233363301005 7200935894373217/1041986870446834 19609746685933147/10419868704468340 -48671251023024/2075671056667 8238759915796567/5209934352234170 24127778108031177/2604967176117085 45769884558872479/5209934352234170 -12983057008488547/5209934352234170 4778544528619163/612933453204020 -101812482771486397/5209934352234170 105374725255411373/5209934352234170 933272361385837/5209934352234170 -162266658302067651/5209934352234170 -5402994840286597/612933453204020 -1223048351802707/306466726602010 -7200935894373217/1041986870446834 1609061141777631/612933453204020 -19609746685933147/10419868704468340 -40416176866639897/2083973740893668 -8238759915796567/5209934352234170 2242640259138707/61293345320402 -24127778108031177/2604967176117085 -139524584623392089/10419868704468340 -6838630540005761/10419868704468340 19409955529185404/520993435223417 -4778544528619163/612933453204020 69091279128895689/5209934352234170 -63982581962561271/2083973740893668 -4207428121458687/306466726602010 -1753013995516057/153233363301005 89282112893755993/2083973740893668 -16643677768954929/306466726602010 47984815505647131/10419868704468340 -46020846952744025/1041986870446834 130212246019025403/2604967176117085 -642032375752951/30646672660201 -12155873171842711/10419868704468340 -59690964778280229/5209934352234170 110880244975408147/2604967176117085 97613447413932939/2083973740893668 -21975450040748041/612933453204020 -243733389094146589/10419868704468340 -1116794769156543/1041986870446834] [-271042585630035517/2604967176117085 -2373364072547127417/10419868704468340 -81125203522545475/1041986870446834 -39578363122913751/2604967176117085 1158389663377471/4151342113334 35413858660160093/2604967176117085 -245866596531773229/2604967176117085 -1098606681186967981/10419868704468340 1212120795857016/153233363301005 -254895491111527171/5209934352234170 559543865042058927/2604967176117085 -617633248569159998/2604967176117085 86624291233654843/2604967176117085 865217547030367936/2604967176117085 273647552806152602/2604967176117085 198824058934089081/10419868704468340 81125203522545475/1041986870446834 -185066647341296007/5209934352234170 39578363122913751/2604967176117085 460364795697900129/2083973740893668 251132530712719257/2604967176117085 -1026388236790671353/2083973740893668 412584495803266669/2604967176117085 458926413538406432/2604967176117085 113998417148994163/2604967176117085 -242708787188730754/520993435223417 812358466800583361/5209934352234170 -1253484412828517803/5209934352234170 367245601610215403/1041986870446834 543635003403259584/2604967176117085 727151818601367041/5209934352234170 -1041876406713390571/2083973740893668 3752652628250242091/5209934352234170 -49387638471747307/10419868704468340 536325158657048797/1041986870446834 -1803254725316016731/2604967176117085 116948944764604361/520993435223417 161588501051453637/10419868704468340 633145434383165853/5209934352234170 -1312261269274917339/2604967176117085 -1223491103297053421/2083973740893668 5155129428486926769/10419868704468340 3014004305619081783/10419868704468340 50534622619843593/520993435223417] [5066953443243047/1041986870446834 788982074819149/2083973740893668 -5787886821748713/2083973740893668 89479141684223/2083973740893668 -109122334860583/8302684226668 52135719994096225/1041986870446834 31831252410197757/2083973740893668 2424872593627772/520993435223417 -10821817591621808/520993435223417 81919849111651025/2083973740893668 -41709166808773301/1041986870446834 5711778219438081/122586690640804 29681402305940289/2083973740893668 -146718909205247281/2083973740893668 -5066953443243047/1041986870446834 -80147679807769817/2083973740893668 5787886821748713/2083973740893668 -3526153424266952/520993435223417 -89479141684223/2083973740893668 -44380020319671067/2083973740893668 39559124605225167/1041986870446834 -12587265482445309/2083973740893668 70283460893591975/2083973740893668 6912439075708537/520993435223417 1067717645084845/61293345320402 40766580288180711/2083973740893668 97301892605204423/2083973740893668 -6643151099956323/122586690640804 -52541859081641831/1041986870446834 19839674433237667/520993435223417 1985353405290857/1041986870446834 17942431592419350/520993435223417 3470564287129957/520993435223417 17233353527057958/520993435223417 -42497031623940015/1041986870446834 -27274123117903089/1041986870446834 -13218532033759643/1041986870446834 32953590922615878/520993435223417 -9621511920685963/520993435223417 -357999640015315/30646672660201 -2489025553591777/520993435223417 20369754857738133/520993435223417 -1329034132551907/30646672660201 28751375347937211/520993435223417] [151138815829966069/2604967176117085 1140652915080489989/10419868704468340 36642436579267863/1041986870446834 22516022083912052/2604967176117085 -630592114505127/4151342113334 127694661618991749/2604967176117085 347940880267205461/5209934352234170 595647854210184917/10419868704468340 -79257643082271084/2604967176117085 372667495493224377/5209934352234170 -801204251448830923/5209934352234170 886998097385680697/5209934352234170 -10020428415067877/5209934352234170 -631617988921561367/2604967176117085 -151138815829966069/2604967176117085 -574856560305372437/10419868704468340 -36642436579267863/1041986870446834 62863395104541979/5209934352234170 -22516022083912052/2604967176117085 -272398198409792289/2083973740893668 5158664362979586/2604967176117085 475105988000365461/2083973740893668 -181222980995712021/5209934352234170 -181958362472723894/2604967176117085 5218117871447799/2604967176117085 260644750251572099/1041986870446834 -96540974824813367/5209934352234170 247235695746274601/5209934352234170 -120103617038669389/520993435223417 -141449088693779388/2604967176117085 -365141026764474117/5209934352234170 588955439891366043/2083973740893668 -1758091427541158647/5209934352234170 476041262928165879/10419868704468340 -156458494943771236/520993435223417 805850215680237957/2604967176117085 -71522466782917690/520993435223417 691956564880650971/10419868704468340 -404130995934318621/5209934352234170 629013807268608943/2604967176117085 593576291727620085/2083973740893668 -2021231761100334253/10419868704468340 -2067936106241069381/10419868704468340 7687539725660467/520993435223417] [-50488599063877671/2083973740893668 -62525539401685031/1041986870446834 -47064399481795959/2083973740893668 -3906428892119665/1041986870446834 136145645247418/2075671056667 17259790761232417/520993435223417 -31845114046389431/2083973740893668 -25803034222591247/1041986870446834 -10664587555624215/1041986870446834 5688746030661768/520993435223417 34300246016944489/1041986870446834 -73080899906407813/2083973740893668 36823921383822655/2083973740893668 47743217177757093/1041986870446834 50488599063877671/2083973740893668 -18950858067362675/1041986870446834 47064399481795959/2083973740893668 -24891204556621165/2083973740893668 3906428892119665/1041986870446834 95728726994255723/2083973740893668 25461670927087777/520993435223417 -69828147250008970/520993435223417 127707906127498159/2083973740893668 110705986628149797/2083973740893668 47103525244439395/2083973740893668 -231235685753441257/2083973740893668 36511722222435009/520993435223417 -199781140367074547/2083973740893668 132438565044961937/2083973740893668 40738198734523853/520993435223417 19365944340348126/520993435223417 -232418954822663395/2083973740893668 202181833901702971/1041986870446834 38846847639035093/2083973740893668 57592172298670713/520993435223417 -203810762323056063/1041986870446834 49367665665495707/1041986870446834 87053005977012221/2083973740893668 23254805650366499/1041986870446834 -71135528399370914/520993435223417 -327097589651650477/2083973740893668 319934727536063165/2083973740893668 100215901924373427/2083973740893668 30594226197825138/520993435223417] [-3865593424318981/153233363301005 -38968047826392981/612933453204020 -12258860809950374/520993435223417 -18920091964706897/5209934352234170 285741676298661/4151342113334 86694268787306348/2604967176117085 -78926017225410673/5209934352234170 -266459435257450221/10419868704468340 -31823592263537328/2604967176117085 1682644753186571/153233363301005 88662042288759577/2604967176117085 -193308404227641771/5209934352234170 91911468219023911/5209934352234170 130083399892576436/2604967176117085 3865593424318981/153233363301005 -11608811193172917/612933453204020 12258860809950374/520993435223417 -3593564945650351/306466726602010 18920091964706897/5209934352234170 101353780218115733/2083973740893668 139937875534880047/2604967176117085 -17520911907098011/122586690640804 339422734837119173/5209934352234170 292644916997808379/5209934352234170 65564143258910603/2604967176117085 -121033774968336273/1041986870446834 11342191127398854/153233363301005 -269639661629370399/2604967176117085 70160284788395005/1041986870446834 25288429509782949/306466726602010 11324751794288313/306466726602010 -244796101720043555/2083973740893668 31643151840470759/153233363301005 223002773894187143/10419868704468340 121585798567959839/1041986870446834 -532870011137453286/2604967176117085 1396105809682742/30646672660201 433522245546796677/10419868704468340 126672288663697343/5209934352234170 -727093125812344883/5209934352234170 -336344657769060749/2083973740893668 98665589886865767/612933453204020 511903876803953103/10419868704468340 62835889619267289/1041986870446834] [-83053426022897373/2083973740893668 -95047779381547861/1041986870446834 -17773964917769452/520993435223417 -682166457325347/122586690640804 435285105576023/4151342113334 38249646662726429/1041986870446834 -15809250371197661/520993435223417 -1201365241352635/30646672660201 -7942085140613269/1041986870446834 9180948201644679/2083973740893668 33992333496494343/520993435223417 -36393227793453005/520993435223417 26696620215238715/1041986870446834 47328981558251625/520993435223417 83053426022897373/2083973740893668 -30388479268220787/2083973740893668 17773964917769452/520993435223417 -38174204758981445/2083973740893668 682166457325347/122586690640804 158449786143219365/2083973740893668 65949040381956971/1041986870446834 -419612411432331749/2083973740893668 42900909002815345/520993435223417 2343413370350336/30646672660201 58847343193258037/2083973740893668 -183900869654441639/1041986870446834 190880530924147449/2083973740893668 -66838267116583262/520993435223417 13992304576897375/122586690640804 220484038031316509/2083973740893668 60613815390939409/1041986870446834 -376962909142382911/2083973740893668 609707970195427471/2083973740893668 482225521992952/30646672660201 190273167117469191/1041986870446834 -305509527976612755/1041986870446834 44693457256053212/520993435223417 86114077035196257/2083973740893668 2302926848688679/61293345320402 -438277124525018047/2083973740893668 -497965802194193481/2083973740893668 115503302764290068/520993435223417 193308220979778039/2083973740893668 9025542556452229/122586690640804] [-5687372882048947/612933453204020 -21068044384522163/612933453204020 -30972346175171845/2083973740893668 -3487279623678213/2604967176117085 218087067050821/8302684226668 146493486429624794/2604967176117085 47868641649641197/10419868704468340 -25447917053048582/2604967176117085 -121875807204088803/5209934352234170 5774331127106868/153233363301005 -69638785302626043/5209934352234170 168645089565980889/10419868704468340 217644059175241851/10419868704468340 -292039233646754903/10419868704468340 5687372882048947/612933453204020 -12396008374417223/306466726602010 30972346175171845/2083973740893668 -6307027496194881/612933453204020 3487279623678213/2604967176117085 10276489154771083/1041986870446834 158287673176074151/2604967176117085 -2529825699574152/30646672660201 639842692845269243/10419868704468340 204346627319128157/5209934352234170 296217103038711071/10419868704468340 -96281474003933347/2083973740893668 11847505652508707/153233363301005 -1035066425172882783/10419868704468340 -5840351831227523/2083973740893668 45860061133356609/612933453204020 2998600094560957/153233363301005 -75292832139298237/2083973740893668 71664558376005203/612933453204020 200824742738892567/5209934352234170 15141665117626954/520993435223417 -330878428882042623/2604967176117085 541809879654595/61293345320402 734064054573554871/10419868704468340 2133401972023269/5209934352234170 -822200891550166643/10419868704468340 -182463924883533135/2083973740893668 35609137633615893/306466726602010 -109671675117586111/10419868704468340 155941268741886877/2083973740893668] [351344004176568703/5209934352234170 356081577301960516/2604967176117085 46952336543653895/1041986870446834 1661596070922121/153233363301005 -369533216438284/2075671056667 66545966186160134/2604967176117085 365938155460460181/5209934352234170 10342494505957774/153233363301005 -56626153066478659/2604967176117085 152469015586069716/2604967176117085 -417553643960480454/2604967176117085 919556804915449227/5209934352234170 -56797163273640017/5209934352234170 -651706118058169147/2604967176117085 -351344004176568703/5209934352234170 -103466501388223628/2604967176117085 -46952336543653895/1041986870446834 98401543275615989/5209934352234170 -1661596070922121/153233363301005 -153796329334855965/1041986870446834 -66545966186160134/2604967176117085 151120428884576913/520993435223417 -365938155460460181/5209934352234170 -30190361483277669/306466726602010 -57867095411405807/5209934352234170 309642069868209135/1041986870446834 -152469015586069716/2604967176117085 530959891777836171/5209934352234170 -15238379659288931/61293345320402 -252615075913736888/2604967176117085 -224872773726092346/2604967176117085 339302003986874533/1041986870446834 -1111683721724845081/2604967176117085 9505372471362121/306466726602010 -178297203205931515/520993435223417 1047261821714904397/2604967176117085 -80909927095112151/520993435223417 174021454350824013/5209934352234170 -12816456977936909/153233363301005 795407900236255988/2604967176117085 372041473290716395/1041986870446834 -1415658349517020379/5209934352234170 -1096487963754401723/5209934352234170 -619206828922398/30646672660201] [57642389905419229/306466726602010 233036582316563647/612933453204020 65646347808128652/520993435223417 75609380326821992/2604967176117085 -2061452312671313/4151342113334 185987465542042949/2604967176117085 1019516032704675861/5209934352234170 1956816309577578627/10419868704468340 -159016473956320569/2604967176117085 50250629372992791/306466726602010 -1162177276769107539/2604967176117085 2559762547429931547/5209934352234170 -154518607998778727/5209934352234170 -1812142553230716287/2604967176117085 -57642389905419229/306466726602010 -67259628594590751/612933453204020 -65646347808128652/520993435223417 8079002628023161/153233363301005 -75609380326821992/2604967176117085 -859452988231548613/2083973740893668 -185987465542042949/2604967176117085 98829435616158227/122586690640804 -1019516032704675861/5209934352234170 -1420710580442783663/5209934352234170 -156437507376214157/5209934352234170 861831920045224213/1041986870446834 -50250629372992791/306466726602010 737031155748393313/2604967176117085 -360285278005657852/520993435223417 -41444238430493224/153233363301005 -73800395161465551/306466726602010 1894302049192547739/2083973740893668 -363591880198677391/306466726602010 884604851307988699/10419868704468340 -993124615661481517/1041986870446834 2925669921169879302/2604967176117085 -13305596225963168/30646672660201 958384729148653011/10419868704468340 -1220485805532664321/5209934352234170 2218640979761751933/2604967176117085 2074033199055047349/2083973740893668 -463497315995773769/612933453204020 -6125113572967426411/10419868704468340 -30308155219041875/520993435223417] [175447100884977391/1041986870446834 714466397762010175/2083973740893668 235043776816927931/2083973740893668 3104966614943499/122586690640804 -3711727863950433/8302684226668 70242652094232051/1041986870446834 363943933790788485/2083973740893668 5170178647981927/30646672660201 -27931596010513366/520993435223417 306863551855711313/2083973740893668 -417709279799206335/1041986870446834 924275286557297625/2083973740893668 -55116742606891487/2083973740893668 -1308658878420000775/2083973740893668 -175447100884977391/1041986870446834 -207943423717167217/2083973740893668 -235043776816927931/2083973740893668 23504295920377135/520993435223417 -3104966614943499/122586690640804 -775123954662925415/2083973740893668 -70242652094232051/1041986870446834 1514776933084534595/2083973740893668 -363943933790788485/2083973740893668 -7462061943653796/30646672660201 -30126595552774397/1041986870446834 1546643425784709183/2083973740893668 -306863551855711313/2083973740893668 532937121040657181/2083973740893668 -38263535964327941/61293345320402 -253261487022421479/1041986870446834 -222455692725731661/1041986870446834 853383824257242049/1041986870446834 -1114621665423272385/1041986870446834 2291883295671869/30646672660201 -890843601300818557/1041986870446834 1044597552013398919/1041986870446834 -396028263130484405/1041986870446834 92241410208769311/1041986870446834 -6541638174936198/30646672660201 786448608347409317/1041986870446834 925968012349166393/1041986870446834 -353180097377116949/520993435223417 -546731973426154473/1041986870446834 -3032637902650539/61293345320402] [1244878529064792223/10419868704468340 634138197332976283/2604967176117085 167256739536388111/2083973740893668 97647819897040557/5209934352234170 -657402920907490/2075671056667 122581813884560117/2604967176117085 1295282057051062851/10419868704468340 312205155580590369/2604967176117085 -198659900962666979/5209934352234170 271826001136408383/2604967176117085 -1483759783772502709/5209934352234170 3273932414187561817/10419868704468340 -193223077875919327/10419868704468340 -2324530245489492907/5209934352234170 -1244878529064792223/10419868704468340 -367445350897652983/5209934352234170 -167256739536388111/2083973740893668 334197197291842389/10419868704468340 -97647819897040557/5209934352234170 -548791443809777925/2083973740893668 -122581813884560117/2604967176117085 269205991781312966/520993435223417 -1295282057051062851/10419868704468340 -1810122279100483563/10419868704468340 -216360267775776087/10419868704468340 1098744846165267477/2083973740893668 -271826001136408383/2604967176117085 1893821672195109791/10419868704468340 -922384919661227977/2083973740893668 -900831043768299583/5209934352234170 -394768931589158653/2604967176117085 1208823976400897885/2083973740893668 -1980168156239541113/2604967176117085 561301656778122087/10419868704468340 -316500396425413897/520993435223417 3709361206729958887/5209934352234170 -281692561771686027/1041986870446834 643122403222940893/10419868704468340 -785688146387089563/5209934352234170 2799260695455566613/5209934352234170 1315671094886963699/2083973740893668 -5018585038674284769/10419868704468340 -3876926625443228453/10419868704468340 -36936669207227783/1041986870446834] [493682551994739579/10419868704468340 1019365135821004761/10419868704468340 33032251250207501/1041986870446834 66935856370220437/10419868704468340 -1053716115647315/8302684226668 109319899811418977/5209934352234170 255615649248415939/5209934352234170 123571154335201332/2604967176117085 -76265990317768567/5209934352234170 435870026824443011/10419868704468340 -593718554733620607/5209934352234170 662374961715347843/5209934352234170 -18261736266644904/2604967176117085 -1871929843462324287/10419868704468340 -493682551994739579/10419868704468340 -298686665733646243/10419868704468340 -33032251250207501/1041986870446834 119872606007835497/10419868704468340 -66935856370220437/10419868704468340 -55490359229550652/520993435223417 -109319899811418977/5209934352234170 432216890695129019/2083973740893668 -255615649248415939/5209934352234170 -709317670504798999/10419868704468340 -94713808872147961/10419868704468340 109458917707854369/520993435223417 -435870026824443011/10419868704468340 381210106007531829/5209934352234170 -371864221253289121/2083973740893668 -360339235043679259/5209934352234170 -153388789500643769/2604967176117085 486444181945678673/2083973740893668 -795112397324162464/2604967176117085 215033053163993671/10419868704468340 -251950086665916239/1041986870446834 1469650970091991001/5209934352234170 -106448994340398555/1041986870446834 292662990935382189/10419868704468340 -162932289060858652/2604967176117085 1086851044412899179/5209934352234170 518534713361692015/2083973740893668 -1978867432287406937/10419868704468340 -1540197997254433509/10419868704468340 -13133281258824525/1041986870446834] [587447525330411423/10419868704468340 1199562693633216937/10419868704468340 19786554348221682/520993435223417 5054495991639117/612933453204020 -1249029991991361/8302684226668 121432601352857089/5209934352234170 305095326943621423/5209934352234170 17246207729847169/306466726602010 -93702882681934359/5209934352234170 522539712681067917/10419868704468340 -350899431410117627/2604967176117085 388751561041794298/2604967176117085 -21575624120269398/2604967176117085 -2202373566464497409/10419868704468340 -587447525330411423/10419868704468340 -348708756902515081/10419868704468340 -19786554348221682/520993435223417 149717299326694449/10419868704468340 -5054495991639117/612933453204020 -65367356395968642/520993435223417 -121432601352857089/5209934352234170 509780021205203053/2083973740893668 -305095326943621423/5209934352234170 -49939930435031009/612933453204020 -102584197673623277/10419868704468340 129975208617732708/520993435223417 -522539712681067917/10419868704468340 224974053388458719/2604967176117085 -25742026841366853/122586690640804 -212713484182675464/2604967176117085 -184291206164276468/2604967176117085 574975953573706179/2083973740893668 -1874231399829616101/5209934352234170 15447514975336671/612933453204020 -149761762965954390/520993435223417 1750052576303884887/5209934352234170 -65023849228646019/520993435223417 307113858110821823/10419868704468340 -22369249519459059/306466726602010 655596849122153009/2604967176117085 621870140595718437/2083973740893668 -2372441388313840189/10419868704468340 -1824911541476149343/10419868704468340 -510771634019389/30646672660201] [1218647446360648363/5209934352234170 4935497790247456379/10419868704468340 326718984124922613/2083973740893668 371877469310161653/10419868704468340 -5137324141505547/8302684226668 471146591342388583/5209934352234170 148986611060665141/612933453204020 1217494476295381261/5209934352234170 -196872993261541539/2604967176117085 2132797479818709979/10419868704468340 -1447155512085812879/2604967176117085 6384674711773287209/10419868704468340 -384548804386946999/10419868704468340 -9038959946968558033/10419868704468340 -1218647446360648363/5209934352234170 -1430201195272176987/10419868704468340 -326718984124922613/2083973740893668 335176157060069159/5209934352234170 -371877469310161653/10419868704468340 -1071524705462790115/2083973740893668 -471146591342388583/5209934352234170 2094679188721363377/2083973740893668 -148986611060665141/612933453204020 -1765985265040832013/5209934352234170 -99538739145629516/2604967176117085 2146906257706957037/2083973740893668 -2132797479818709979/10419868704468340 3679024985822135977/10419868704468340 -449309988256904881/520993435223417 -876324148743819848/2604967176117085 -776911801710358761/2604967176117085 590248266245170603/520993435223417 -3852223433463568316/2604967176117085 274245394372725376/2604967176117085 -1236812620915939825/1041986870446834 3637530458365838257/2604967176117085 -559165597217366383/1041986870446834 17898666444814397/153233363301005 -762379431170247523/2604967176117085 2752177341428540288/2604967176117085 644970294075534865/520993435223417 -2454076035477773097/2604967176117085 -3809387922959976213/5209934352234170 -37738233317275664/520993435223417] [-11914299846125013/10419868704468340 -9823992455662171/5209934352234170 -1723142028710905/2083973740893668 -1803324164502097/5209934352234170 11453076536341/4151342113334 667308475634683/2604967176117085 -12167109952858821/10419868704468340 -2307660995447189/2604967176117085 2395105460888139/5209934352234170 -3396622311075623/2604967176117085 12749565585241929/5209934352234170 -23134255598830967/10419868704468340 -487276809161123/10419868704468340 8747770813303126/2604967176117085 11914299846125013/10419868704468340 771503145463903/5209934352234170 1723142028710905/2083973740893668 -3256646897080909/10419868704468340 1803324164502097/5209934352234170 4612965307422481/2083973740893668 -667308475634683/2604967176117085 -2361982250915465/520993435223417 12167109952858821/10419868704468340 20637089994531083/10419868704468340 -626241217555233/10419868704468340 -10502002891502533/2083973740893668 3396622311075623/2604967176117085 -14082959046279421/10419868704468340 7640334570394193/2083973740893668 4526244655099134/2604967176117085 7585473371602961/5209934352234170 -10362409728665663/2083973740893668 33443814964816821/5209934352234170 -11406446012742327/10419868704468340 6112572460106719/1041986870446834 -37792238147873647/5209934352234170 1860028065609579/520993435223417 10996759996948997/10419868704468340 4180597703803893/5209934352234170 -17245770137849224/2604967176117085 -15107080496967241/2083973740893668 57480431307936269/10419868704468340 38266819255640523/10419868704468340 944809185794925/520993435223417] W2 = [0 1 0 0 0 0 5 0 1 -1 0 -1 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 0 0 0 0 110 0 64 66 0 -29 107 -84 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 103 0 57 58 0 -29 101 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 88 1 49 51 0 -24 86 -65 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 102 0 56 58 0 -28 99 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 51 0 32 33 1 -15 53 -41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 19 0 11 12 0 -5 19 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 82 0 46 47 0 -23 81 -60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 48 0 28 29 0 -14 49 -36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 87 0 50 52 0 -23 85 -66 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 20 0 8 9 0 -5 18 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 100 0 52 53 0 -28 96 -67 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 17 0 7 6 0 -5 15 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 117 0 66 68 0 -32 115 -86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] Compute T^*/(T^* meet WT^*). (1.65 s to compute intersection) (0.05 s to compute quotient) (2.009 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/68 + Z/10419868704468340 Defined on 15 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 68*M.14 = 0 10419868704468340*M.15 = 0 Time: 7.010 > time S, M := S1F2(23); Compute a basis of q-expansions for S_2(Gamma_0(2*23))^new. (0.381 s). (0.049 s). Compute matrix of W2 with respect to B. (0 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.01 s). Compute the matrix of W2 with respect to BZ. (0 s). W2Z = [ 1/10 19/10 -1/2 -7/5 -3/5] [ 1/2 0 -1/2 -1/2 0] [ 1/10 -3/5 1/2 -9/10 -8/5] [ 0 1/2 -1 -1/2 1] [ -3/20 -7/20 1/4 1/10 -11/10] W2 = [ -1 0 0 0 0] [ 0 0 0 2 0] [ 0 0 0 0 2] [ 0 1/2 0 0 0] [ 0 0 1/2 0 0] Compute T^*/(T^* meet WT^*). (0 s to compute intersection) (0 s to compute quotient) (0 s). M = Abelian Group isomorphic to Z/2 + Z/20 Defined on 2 generators Relations: 2*M.1 = 0 20*M.2 = 0 Time: 0.450 > time S, M := S1F2(31); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. >> time S, M := S1F2(31); ^ Runtime error in :=: Expected to assign 2 value(s) but only computed 1 value(s) > time S, M := S1F2(37); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. >> time S, M := S1F2(37); ^ Runtime error in :=: Expected to assign 2 value(s) but only computed 1 value(s) > time S := S1F2(43); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. Time: 0.000 > time S := S1F2(47); Compute a basis of q-expansions for S_2(Gamma_0(2*47))^new. (0.75 s). (0.08 s). Compute matrix of W2 with respect to B. (0.009 s). Compute a saturated integral basis BZ for S2N. (0.01 s). Compute the change-of-basis matrix from B to BZ. (0.039 s). Compute the matrix of W2 with respect to BZ. (0 s). W2Z = [86/329 -125/658 365/658 -102/329 304/329 857/658 127/94 1849/658 -3511/658 354/329 288/329] [124/329 363/658 3/329 295/658 -59/329 -285/329 -9/47 -953/658 338/329 -270/329 -281/329] [54/329 87/329 -337/658 -503/658 -31/329 431/658 71/94 -242/329 305/658 -298/329 -393/329] [81/329 -397/658 -6/329 -295/329 118/329 153/658 18/47 624/329 -676/329 211/329 233/329] [-29/658 857/1316 -81/1316 -199/1316 -355/658 -297/329 -39/188 -723/658 1731/1316 355/658 -653/329] [81/329 -363/329 317/658 -295/329 118/329 241/329 83/94 919/658 -1681/658 211/329 233/329] [15/658 204/329 36/329 -79/658 -50/329 -130/329 -75/94 -579/658 437/329 -279/329 -411/329] [81/658 -363/658 -3/329 17/329 59/329 -44/329 65/94 312/329 -338/329 -59/329 -48/329] [-22/329 -72/329 26/329 -185/658 37/329 -5/658 16/47 185/658 -251/329 -37/329 -242/329] [81/1316 -363/1316 -3/658 -295/1316 194/329 241/1316 -29/188 295/1316 -667/658 135/329 -24/329] [-137/1316 187/329 -197/1316 142/329 -311/658 -367/1316 -57/94 -1555/1316 1383/1316 -347/658 -130/329] W2 = [ 0 1 0 0 0 0 0 0 0 0 0] [ 1 0 0 0 0 0 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0 0 0 0] [ 0 0 0 0 0 0 0 2 0 0 0] [ 0 0 0 0 0 0 0 0 2 0 0] [ 0 0 0 0 0 0 0 0 0 2 0] [ 0 0 0 0 0 0 0 0 0 0 2] [ 0 0 0 1/2 0 0 0 0 0 0 0] [ 0 0 0 0 1/2 0 0 0 0 0 0] [ 0 0 0 0 0 1/2 0 0 0 0 0] [ 0 0 0 0 0 0 1/2 0 0 0 0] Compute T^*/(T^* meet WT^*). (0 s to compute intersection) (0 s to compute quotient) (0 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/4 + Z/1316 Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 4*M.3 = 0 1316*M.4 = 0 Time: 0.890 > factor(329); [ <7, 1>, <47, 1> ] 1 > factor(658); [ <2, 1>, <7, 1>, <47, 1> ] 1 > M := ModularSymbols(179*2); > S := CS(M); > O := OldSubspace(S); > O; Modular symbols space of level 94, weight 2, and dimension 16 > time G := IntersectionGroup(O, NS(S)); Abelian Group isomorphic to Z/47 + Z/47 Defined on 2 generators Relations: 47*$.1 = 0 47*$.2 = 0 > M := ModularSymbols(179*2); > S := CS(M); > O := OldSubspace(S); > time G := IntersectionGroup(O, NS(S)); Time: 0.540 > G; Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/34 + Z/34 + Z/5063110 + Z/5063110 Defined on 8 generators Relations: 2*G.1 = 0 2*G.2 = 0 2*G.3 = 0 2*G.4 = 0 34*G.5 = 0 34*G.6 = 0 5063110*G.7 = 0 5063110*G.8 = 0 > factor(5063110); [ <2, 1>, <5, 1>, <13, 1>, <17, 1>, <29, 1>, <79, 1> ] 1 > S1 := CS(MF(179)); > S2 := CS(MF(179*2)); > IntersectionGroup(S1,NewSubspace(S2),50); >> IntersectionGroup(S1,NewSubspace(S2),50); ^ Runtime error in 'IntersectionGroup': Bad argument types Argument types given: ModFrm, ModFrm, RngIntElt > AnemicCongruenceGroup(S1,NewSubspace(S2),50); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 Defined on 4 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 > AnemicCongruenceGroup(S1,NewSubspace(S2),50); >> CongruenceGroupAnemic(S1,NewSubspace(S2),50); ^ User error: Identifier 'AnemicCongruenceGroup' has not been declared or assigned > > CongruenceGroupAnemic(S1,NewSubspace(S2),100); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 Defined on 4 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 > > CongruenceGroupAnemic(S1,NewSubspace(S2),150); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/34 + Z/5063110 Defined on 6 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 34*$.5 = 0 5063110*$.6 = 0 > factor(5063110); [ <2, 1>, <5, 1>, <13, 1>, <17, 1>, <29, 1>, <79, 1> ] 1 > > CongruenceGroupAnemic(S1,NewSubspace(S2),150); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/34 + Z/5063110 Defined on 6 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 34*$.5 = 0 5063110*$.6 = 0 > time S := S1F2(47); Compute a basis of q-expansions for S_2(Gamma_0(2*47))^new. (0.809 s). (0.091 s). Compute matrix of W2 with respect to B. (0.019 s). Compute a saturated integral basis BZ for S2N. (0.07 s). Compute the change-of-basis matrix from B to BZ. (0.051 s). Compute the matrix of W2 with respect to BZ. (0 s). W2Z = [5/94 89/94 12/47 26/47 -1/47 35/47 13/94 21/47 -152/47 1/47 91/94] [-27/188 319/94 -139/188 245/94 -239/94 -425/188 -303/94 -1383/188 1181/188 -325/94 -435/188] [-67/188 146/47 -237/188 131/94 -231/94 -139/188 -107/47 -1249/188 1075/188 -333/94 -411/188] [-8/47 157/94 -29/47 39/47 -72/47 -83/94 -96/47 -133/47 101/47 -69/47 19/94] [-67/188 443/188 -24/47 215/188 -92/47 -327/188 -381/188 -873/188 210/47 -49/47 -317/188] [-8/47 55/47 -11/94 39/47 -72/47 -18/47 -145/94 -313/94 155/94 -69/47 19/94] [-37/94 136/47 -23/47 151/94 -96/47 -71/47 -303/94 -527/94 260/47 -139/47 -97/47] [-4/47 55/94 -29/94 43/47 -36/47 -65/94 -49/94 -133/94 101/94 -58/47 -7/47] [-65/94 150/47 -77/94 217/94 -128/47 -79/47 -155/47 -320/47 521/94 -154/47 -149/94] [-2/47 55/188 -29/188 39/188 11/94 -9/94 -143/188 -45/47 7/188 -11/94 20/47] [-137/188 187/47 -197/188 142/47 -311/94 -367/188 -399/94 -1555/188 1383/188 -347/94 -463/188] W2 = [ 0 1 0 0 0 0 0 0 0 0 0] [ 1 0 0 0 0 0 0 0 0 0 0] [ 0 0 -1 0 0 0 0 0 0 0 0] [ 0 0 0 0 0 0 0 2 0 0 0] [ 0 0 0 0 0 0 0 0 2 0 0] [ 0 0 0 0 0 0 0 0 0 2 0] [ 0 0 0 0 0 0 0 0 0 0 2] [ 0 0 0 1/2 0 0 0 0 0 0 0] [ 0 0 0 0 1/2 0 0 0 0 0 0] [ 0 0 0 0 0 1/2 0 0 0 0 0] [ 0 0 0 0 0 0 1/2 0 0 0 0] Compute T^*/(T^* meet WT^*). (0 s to compute intersection) (0 s to compute quotient) (0 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/4 + Z/188 Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 4*M.3 = 0 188*M.4 = 0 Time: 1.040 > S; Abelian Group isomorphic to Z/2 + Z/2 Defined on 2 generators Relations: 2*S.1 = 0 2*S.2 = 0 > time S := S1F2(179); Compute a basis of q-expansions for S_2(Gamma_0(2*179))^new. (4.199 s). (0.521 s). Compute matrix of W2 with respect to B. (0.179 s). Compute a saturated integral basis BZ for S2N. (0.829 s). Compute the change-of-basis matrix from B to BZ. (0.61 s). Compute the matrix of W2 with respect to BZ. (0.08 s). W2Z = [13733553810493441/10126220 -4667971836455974/2531555 -127437680422707/506311 -23085602081383619/10126220 13732147838093673/10126220 -1688840850680121/506311 2079373353795684/2531555 2783762787305317/5063110 3319288232041341/5063110 -2082942414983427/2531555 11567037108717401/2531555 -4588982562359907/1012622 -39147552050739011/10126220 -11730909970117154/2531555 -4252714751384239/2025244 94451019928440671/10126220 -13317054889625637/5063110 7851152723974689/5063110 5419863599876311/5063110 2942482652175353/10126220 -225923499205797/59566 11919294181803283/5063110 -2666384605488077/5063110 3650248214549773/506311 -5431861717447663/595660 2472602187822324/2531555 12030380598967823/2025244 -18012330815252557/5063110 -27252925222847491/5063110 3104590256105659/506311 21838753312139/778940 41641389411042407/5063110 -4070616507519451/1012622 3807640395808961/2531555 8325593563470312/2531555 696989298774861/5063110 -5067504144942457/2531555 2326400700339982/2531555 35359748582807609/2025244 -95275280749542/2531555 -61139472794461519/5063110 134199810722609/29783 -5300165807160151/10126220 98645351551792217/10126220] [1471980508309563/2025244 -1000638822387785/1012622 -273178791428013/2025244 -2474345439993305/2025244 367957453424794/506311 -1810122017013211/1012622 222869993175162/506311 149183693013916/506311 711531428078671/2025244 -446505059757989/1012622 2479540749467179/1012622 -4918532356945977/2025244 -2097943268429393/1012622 -2514668970482763/1012622 -2279058030361913/2025244 10123385554233801/2025244 -2854679202790255/2025244 420748479718179/506311 1161816333260887/2025244 78844797812741/506311 -1029128159342917/506311 638762877468192/506311 -285786637929587/1012622 1956192218142673/506311 -4948650200437743/1012622 530033562166987/1012622 6447160721617687/2025244 -965292750427530/506311 -5842009323180995/2025244 3327541001750385/1012622 34422154929/2291 4463179330879091/1012622 -2181470373845721/1012622 408107946323336/506311 892348157274786/506311 149408474442999/2025244 -1086283626929525/1012622 498693423561207/1012622 18949523693751281/2025244 -20423461853507/1012622 -3276504880925582/506311 2445231322019727/1012622 -284039399711811/1012622 2643234895931146/506311] [3432999602507639/10126220 -1166860791291106/2531555 -31855811833645/506311 -5770746878644181/10126220 3432648149418687/10126220 -844324788581143/1012622 1039568927913097/5063110 347930939146594/2531555 48807533827417/297830 -1041353254902131/5063110 5782863535900833/5063110 -1147115708562799/1012622 -9785779591654089/10126220 -2932395344811886/2531555 -1063058277300865/2025244 23610080693505769/10126220 -3328886662633703/5063110 115445051992373/297830 1354812442849259/5063110 735537350870287/10126220 -960066126437817/1012622 2979486060878777/5063110 -666520656483953/5063110 1824917401939087/1012622 -23082797742086289/10126220 1236161077185637/5063110 3007254522618337/2025244 -4502572703737423/5063110 -6812459668370829/5063110 776059660882087/506311 5459069980801/778940 10409168319158683/5063110 -508769435917417/506311 1903604579777383/5063110 4162325316365221/5063110 10248681599677/297830 -1266732555268558/2531555 581534305534323/2531555 8838935972311415/2025244 -47632244517821/5063110 -7641568550456873/2531555 570284600254796/506311 -1324891378789089/10126220 24658544856630983/10126220] [32788769336744633/10126220 -11144752043895562/2531555 -608513246696583/1012622 -55116723038084847/10126220 32785412586841839/10126220 -8064192832668355/1012622 9928980395290429/5063110 6646215320065501/5063110 3962389404627304/2531555 -9946022615292297/5063110 27616224969999963/2531555 -5478082832207632/506311 -93464522880789273/10126220 -28007470351004452/2531555 -10153328482535947/2025244 225501188469121023/10126220 -15897190455366578/2531555 18744575458722007/5063110 6469944336062884/2531555 7025157970136399/10126220 -9169644749114159/1012622 28457236413081779/5063110 -3182987848387093/2531555 8714943588323879/506311 -220465079716466253/10126220 5903321453258357/2531555 28722454503535119/2025244 -21502160641767953/2531555 -32533089803727589/2531555 14824377608107987/1012622 52139878919237/778940 49709271579952828/2531555 -4859285060318097/506311 9090716387400863/2531555 19877299838078291/2531555 832028678301484/2531555 -12098632796090601/2531555 5554266364076416/2531555 84421167028841017/2025244 -454938206427667/5063110 -145970088914760597/5063110 5446819803578932/506311 -12654110980261813/10126220 235515127661567981/10126220] [16523154058375007/10126220 -5616144146441583/2531555 -306646401327793/1012622 -27774818157883533/10126220 16521462500134581/10126220 -4063766443041987/1012622 294322570251383/297830 3349208944251129/5063110 1996755959150486/2531555 -5012071726858743/5063110 13916568048066227/2531555 -2760555165881835/506311 -47099319124084687/10126220 -830219250235764/148915 -5116538806342009/2025244 113636191689842657/10126220 -8011027322036707/2531555 9445902189550643/5063110 3260381198082971/2531555 3540168471910241/10126220 -4620833777163303/1012622 14340376625972011/5063110 -1603994283629887/2531555 4391697475771967/506311 -111098359292860127/10126220 2974844490666943/2531555 14474027243302109/2025244 -637383793084221/148915 -16394310178502176/2531555 7470407703418943/1012622 26274705392483/778940 25049856067265392/2531555 -2448726112567520/506311 4581059625079672/2531555 10016712860418379/2531555 419281916822341/2531555 -6096830643041639/2531555 2798946121572704/2531555 42542125761138443/2025244 -229255749614243/5063110 -73558304137639483/5063110 2744800874431914/506311 -6376751228059027/10126220 118682488422984219/10126220] [437268500202819/595660 -148625554133176/148915 -137956457203935/1012622 -735032369359731/595660 7432803492472759/10126220 -914119358414558/506311 1125502995285127/2531555 88633415185933/297830 1796632068001353/5063110 -2254869644590367/5063110 12521786806419271/5063110 -2483879871576057/1012622 -1246435671831209/595660 -12699185826678749/5063110 -2301868100532279/2025244 3007266465288409/595660 -7208126017453451/5063110 4249595625616057/5063110 2933611082341613/5063110 1592678405106059/10126220 -1039428241601192/506311 6451559687493319/5063110 -1443234741848251/5063110 1975770869278976/506311 -49981790229526123/10126220 157452479604967/297830 6511687464608779/2025244 -4874769663863043/2531555 -14751198440971243/5063110 3360844868520519/1012622 11820668311107/778940 662919013757179/148915 -1101651866424441/506311 4121925159622711/5063110 4506396351501046/2531555 188629794820284/2531555 -5485778762945207/5063110 1259211558040801/2531555 19139180982626993/2025244 -51569678570481/2531555 -16546489750168791/2531555 2469704546376927/1012622 -168754248519809/595660 53393796975127031/10126220] [686112695534127/174590 -932826211060917/174590 -50933130141207/69836 -1153330368144223/174590 1372084909589697/349180 -337490256206401/34918 207766245623721/87295 278147231466373/174590 663311427690413/349180 -208122858068633/87295 1155751980858549/87295 -917041353962957/69836 -3911534164418709/349180 -2344251567206767/174590 -106230390998924/17459 4718665305244557/174590 -2661219537169951/349180 784469283587141/174590 1083080832605013/349180 294006159463787/349180 -191876968960610/17459 595474352306396/87295 -133209535897814/87295 364724480856431/17459 -9226567094759819/349180 247056774487571/87295 300512051545096/17459 -899875518170104/87295 -5446100330818443/349180 310203581482753/17459 2182078425731/26860 4160712708336973/174590 -406726722437007/34918 760901497754153/174590 831874330657028/87295 139283163512423/349180 -506333462763818/87295 464897310143691/174590 1766532738020165/34918 -19039377684511/174590 -3054458377101618/87295 227951966075754/17459 -529580485580049/349180 9856418666405453/349180] [1809795965015497/10126220 -615141332314588/2531555 -33587256790757/1012622 -3042200878967103/10126220 1809610685233431/10126220 -222554001549207/506311 274018040185158/2531555 366841874677289/5063110 437412961091147/5063110 -548976736562073/5063110 3048588494066709/5063110 -604732193476223/1012622 -5158830894454827/10126220 -3091778545753201/5063110 -560419109159761/2025244 12446674546184077/10126220 -1754910091752169/5063110 1034618182986243/5063110 714224986091307/5063110 387757847509411/10126220 -253062045166683/506311 1570714381812671/5063110 -351373880422629/5063110 481026584929485/506311 -12168703473639537/10126220 651674800016041/5063110 1585353255270033/2025244 -1186824767179757/2531555 -3591367155926637/5063110 818240491665113/1012622 2877892084353/778940 2743733322430437/2531555 -268211178988564/506311 1003535182361739/5063110 1097139591121624/2531555 45924326605236/2531555 -1335582713635223/5063110 306571093577839/2531555 4659677395504701/2025244 -12555294968184/2531555 -4028453689660884/2531555 601281029304109/1012622 -698451309679757/10126220 764670586219067/595660] [2252740273851903/1012622 -1531392137162825/506311 -418076776302203/1012622 -3786774077070721/1012622 66250283810227/29783 -5540473869201591/1012622 682166926872280/506311 913251532081677/1012622 1088937996121213/1012622 -40196341547138/29783 3794725051383782/506311 -7527393109892193/1012622 -3210722743460696/506311 -3848485789718653/506311 -205170788027789/59566 15492975776341431/1012622 -4368842369654089/1012622 2575678253783657/1012622 1778060533942359/1012622 14195908266589/29783 -6299970520587139/1012622 1955143906199397/506311 -874744012948895/1012622 5987569769731221/506311 -7573485893313525/506311 1622342070845631/1012622 9866828083741665/1012622 -2954595993659305/506311 -8940695625670359/1012622 299559818333509/29783 1791125552641/38947 6830514248731314/506311 -6677107667617949/1012622 2498297232400465/1012622 321332361380093/59566 228656891247165/1012622 -3324928371306219/1012622 1526415267222673/1012622 29000625333724411/1012622 -3677218991245/59566 -10028820987336638/506311 3742217406821793/506311 -434698007993930/506311 8090489882330339/506311] [30714579703614961/10126220 -20879489038244693/5063110 -1140038433953061/2025244 -51630086062473349/10126220 15355717652528259/5063110 -7554058860358865/1012622 4650440775045899/2531555 3112890697753636/2531555 14846928101068347/10126220 -9316845692417269/5063110 51738492181053797/5063110 -20526175903996873/2025244 -43776018371115253/5063110 -52471483241816123/5063110 -9511037566920633/2025244 211236175277041341/10126220 -59566190889694579/10126220 8779404788147312/2531555 24242644668109827/10126220 1645188117336897/2531555 -4294790414649482/506311 13328527934034559/2531555 -350780558420661/297830 8163643676957335/506311 -51629661619207434/2531555 11059764730757303/5063110 26905496483392981/2025244 -20141952268146096/2531555 -121900296977617747/10126220 13886600101452229/1012622 24420777593487/389470 93129410765166777/5063110 -9103781649225309/1012622 8515645406330416/2531555 18619878775289117/2531555 3117581009422267/10126220 -22666567166991689/5063110 10405816403453199/5063110 79080755878967623/2025244 -426159206080159/5063110 -68368072683574162/2531555 10204517239981247/1012622 -2963405669196819/2531555 110308320583278251/5063110] [1238301678047321/2025244 -841786101690393/1012622 -229811301383851/2025244 -2081539868346987/2025244 619087453372363/1012622 -1522762781417349/1012622 187489090639366/506311 125500586792710/506311 598574883768931/2025244 -375621798331989/1012622 2085910414546877/1012622 -4137708917167727/2025244 -882446016267931/506311 -1057730992467002/506311 -1917254589680621/2025244 8516284866478627/2025244 -2401495147719969/2025244 353954108732470/506311 977376472569579/2025244 66328083480146/506311 -865752719028556/506311 537358436263625/506311 -240417635710277/1012622 1645644147277024/506311 -4163045513667407/1012622 445890041842163/1012622 5423665530782223/2025244 -812051264461831/506311 -4914582708074109/2025244 2799289519065973/1012622 984558179279/77894 3754643779198297/1012622 -1835159101151345/1012622 343320276655818/506311 750686721340827/506311 125689681335963/2025244 -913834681965531/1012622 419525191328475/1012622 15941262040319931/2025244 -17181210357221/1012622 -2756355449515060/506311 2057047653718879/1012622 -238947772896227/1012622 261602106037575/59566] [6607252892207711/10126220 -2245774898925094/2531555 -122621281207973/1012622 -11106550659874329/10126220 6606576473948693/10126220 -1625012541490323/1012622 2000785198880943/5063110 669638206034586/2531555 798459635827533/2531555 -1002109685941977/2531555 5564935371434236/2531555 -1103886463904329/506311 -18834001746956351/10126220 -5643775084964104/2531555 -2045993501253821/2025244 45440661840590981/10126220 -3203437021311191/2531555 3777212528379529/5063110 76691535934469/148915 1415637001642053/10126220 -923885876384883/506311 5734407279647153/5063110 -1282805432723317/5063110 3512290176322137/1012622 -44425837404593331/10126220 1189576140679854/2531555 5787851280357817/2025244 -4332892508116981/2531555 -6555731001288058/2531555 2987254898377725/1012622 10506687949519/778940 10016897094618501/2531555 -1958385503546221/1012622 1831866928505031/2531555 8010934804369169/5063110 167661795832678/2531555 -4875982119456829/5063110 65837539994381/148915 17011678425016163/2025244 -91674431070109/5063110 -29414379111526329/5063110 1097586662727473/506311 -2549925275848731/10126220 47458567067634097/10126220] [23027676883287291/10126220 -7827001568110769/2531555 -213680578884381/506311 -38708683330802309/10126220 23025319423949463/10126220 -2831756583373590/506311 6973160532778153/5063110 2333831094842736/2531555 5565602170083771/5063110 -6985129349145849/5063110 19394979384020581/2531555 -7694556639485855/1012622 -65640488381612221/10126220 -19669752496319269/2531555 -7130721045282389/2025244 158370338679501501/10126220 -22329314124265257/5063110 6582193166266947/2531555 9087732820184821/5063110 4933795046072903/10126220 -3219938117158303/506311 19985624907016893/5063110 -4470848841545237/5063110 6120537887213462/506311 -154833460426481321/10126220 8291850028941043/5063110 20171888576692057/2025244 -15101048850047271/2531555 -45696224355415601/5063110 10411216536859461/1012622 36618034148509/778940 34911009688127451/2531555 -6825388602688469/1012622 12768889096089807/5063110 27919805907933049/5063110 1168673784685131/5063110 -16993831264718989/5063110 7801564604630059/5063110 59289305323270363/2025244 -159752412728892/2531555 -102515346260297299/5063110 3825322176147610/506311 -8887030064753501/10126220 9729598005703421/595660] [10885090199968249/5063110 -7399584291365652/2531555 -202011899613185/506311 -18297438846312101/5063110 10883975839483847/5063110 -5354239768929755/1012622 3296184926154942/2531555 2206385133922753/2531555 154755161776227/148915 -3301842536141576/2531555 36671714841480241/5063110 -3637185960851819/506311 -31027994726655579/5063110 -18595625709908757/2531555 -3370663144701839/1012622 74861021819638319/5063110 -10554976934663328/2531555 732088523214531/297830 4295734735448659/2531555 2332185066693517/5063110 -6088207164799625/1012622 9447124471584142/2531555 -2113352257345773/2531555 11572614522585751/1012622 -73189153702357629/5063110 3919524141933122/2531555 9535170558899735/1012622 -28552820102524621/5063110 -21600421376549764/2531555 9842680325591645/1012622 17309197557411/389470 66009175197875281/5063110 -6452667454156837/1012622 6035802493070348/2531555 13197579906904466/2531555 32495729211412/148915 -16065831308690237/5063110 7375536393042527/5063110 28025816049416371/1012622 -302057293234277/5063110 -96917183322613487/5063110 3616428799684705/506311 -4200863347825839/5063110 39092705515505389/2531555] [9310510652581121/10126220 -6329199584260213/5063110 -86394963625376/506311 -15650628168704559/10126220 9309557488278773/10126220 -1144930944161378/506311 2819376255823993/5063110 1887221136190067/5063110 2250274682462831/5063110 -1412107733746352/2531555 7841744656251326/2531555 -3111049886227393/1012622 -26539649197000831/10126220 -7952840447887534/2531555 -2883080850548775/2025244 64032022535645511/10126220 -9028149824877767/5063110 2661301002843042/2531555 3674336482524901/5063110 1994823516425933/10126220 -1301879833191471/506311 8080553437754833/5063110 -1807645901581547/5063110 2474645336054388/506311 -62601998013359591/10126220 1676273258953659/2531555 8155863242497683/2025244 -6105630061454621/2531555 -18475818720051671/5063110 2104722568974579/506311 14805340705559/778940 28230318607275527/5063110 -162331138984531/59566 5162695244409767/5063110 11288487835164089/5063110 472516172656461/5063110 -6870916583765779/5063110 3154315161317179/5063110 23971749802121409/2025244 -129181640207619/5063110 -41448828216805289/5063110 1546647672888189/506311 -3593188685732311/10126220 66875523200491727/10126220] [535588776354573/2025244 -364088328318315/1012622 -49698856024799/1012622 -900305161056451/2025244 535533945363979/2025244 -329311777943918/506311 162185118909243/1012622 108562730592703/1012622 64723725085521/506311 -81231747726679/506311 451097751791996/506311 -447409240774012/506311 -1526698025878741/2025244 -457488556932466/506311 -829248685745487/2025244 3683453450631467/2025244 -259672959774089/506311 153091811941359/506311 105683428849591/506311 114752576064883/2025244 -374454341314741/506311 464835269047415/1012622 -103985151173961/1012622 711772058987311/506311 -3601191036324085/2025244 96427916446690/506311 2345837396628975/2025244 -351227451971493/506311 -531412374155582/506311 605372694755093/506311 851679768949/155788 1623954084135081/1012622 -793740842120043/1012622 296984959877965/1012622 649372264137487/1012622 13590788355828/506311 -395250694727663/1012622 181452539414273/1012622 6894895789952493/2025244 -7431197375285/1012622 -2384351193202533/1012622 444855908260412/506311 -206698816525385/2025244 3847026332937225/2025244] [43031223476736819/10126220 -14626115147641351/2531555 -399299364433545/506311 -72333914149834481/10126220 43026818158606067/10126220 -10583260396950389/1012622 13030564519987497/5063110 4361169730092289/2531555 10400296654608529/5063110 -6526465166080348/2531555 36242895735407524/2531555 -14378618736903195/1012622 -122660680869479469/10126220 -36756357133961531/2531555 -13324993765472137/2025244 295942550819921069/10126220 -41726211082487363/5063110 24599947849324491/5063110 16982010992476289/5063110 9219655045541167/10126220 -6017014978224871/506311 37346619729341857/5063110 -8354559454218403/5063110 22874581312775317/1012622 -289333278023906329/10126220 7747382714867166/2531555 37694685817534505/2025244 -28218938943343459/2531555 -85391351140513679/5063110 19455170739110461/1012622 68427173387001/778940 65237299773181819/2531555 -12754426933654923/1012622 11930446195797514/2531555 52173018314172341/5063110 2183870440683899/5063110 -31755932419433381/5063110 7289290874175528/2531555 110792389536192111/2025244 -597050400245471/5063110 -191567772875030401/5063110 7148280492185973/506311 -16606962934231089/10126220 309084613266057023/10126220] [777075414894348/506311 -2112994904949041/1012622 -576856885067401/2025244 -2612470750573701/1012622 3107983447140815/2025244 -3822336804826883/1012622 470622515896658/506311 630046278735475/1012622 1502502450650115/2025244 -471430298024100/506311 2617956075721783/506311 -10386198873935719/2025244 -8860226762023471/2025244 -5310090517400217/1012622 -2406281816049869/1012622 10688502992092103/1012622 -6028071741835009/2025244 1776943635928491/1012622 2453344742668565/2025244 665969191047871/2025244 -2173154296983732/506311 2697682070697593/1012622 -301740096317596/506311 4130785352122472/506311 -20899594190188637/2025244 559621609385505/506311 3403530187509603/506311 -2038356515078668/506311 -12336255257347141/2025244 3513294220349513/506311 290749613069/9164 9424654506192735/1012622 -4606493053530573/1012622 1723558975034011/1012622 1884323361916246/506311 315497797260833/2025244 -1146923204308283/506311 1053063942667221/1012622 10003671183823023/506311 -43127119848421/1012622 -6918818223400337/506311 5163462788005529/1012622 -1199581287243943/2025244 22326304918500623/2025244] [3892604455337633/1012622 -2646156738686680/506311 -361206203202641/506311 -6543325839570043/1012622 228953291198105/59566 -9573617304678549/1012622 1178744860318800/506311 789022823620969/506311 940810830487331/506311 -69456945397869/29783 13114129323963585/1012622 -6503449220647890/506311 -11095885132872691/1012622 -6649960097713902/506311 -354523214595161/59566 26770963006955735/1012622 -3774553034619912/506311 4450622541331295/1012622 1536192706344879/506311 49059411242107/59566 -10885983441449825/1012622 3378375202934728/506311 -755753444250052/506311 20692346146931545/1012622 -26173088193182119/1012622 1401656473352620/506311 17049306306275675/1012622 -10210740813563183/1012622 -7724501583560012/506311 1035243962259599/59566 6189922096173/77894 23605464426116993/1012622 -11537654543603601/1012622 2158456313956019/506311 277621835991852/29783 197552918705608/506311 -5745283263117565/1012622 2637556997603311/1012622 50111397525113415/1012622 -6354021023707/59566 -34658441287359683/1012622 6466334499334252/506311 -1502265859141141/1012622 13979896984596228/506311] [24400844647247247/5063110 -16587469965295481/2531555 -26637953644516/29783 -41016928158329243/5063110 24398346611582091/5063110 -706027669922251/59566 7388978392490896/2531555 9892000876758913/5063110 5897485648710622/2531555 -7401660921294168/2531555 41103050152900089/2531555 -479611306156027/29783 -69554708793807217/5063110 -41685366472969251/2531555 -7555934424168297/1012622 167814150364073457/5063110 -1391813981671372/148915 27898788703327701/5063110 9629645138896632/2531555 5228003118447751/5063110 -13647787429985101/1012622 21177391493684176/2531555 -9474901752176063/5063110 763001510849506/29783 -164066363857687787/5063110 17572605817762807/5063110 21374762286443181/1012622 -32003084716160214/2531555 -48421144574219342/2531555 11032049763599994/506311 38801611769423/389470 73985589449858289/2531555 -14464789286838483/1012622 1591801545642969/297830 59169394300633181/5063110 1238363193007517/2531555 -36014387270630241/5063110 16533562364716361/5063110 3695576301632841/59566 -677114559911171/5063110 -108628458305975818/2531555 8106861375872956/506311 -9416974236686847/5063110 175266353633117359/5063110] [5082570878040459/1012622 -6910169955367989/1012622 -1886506733671373/2025244 -4271807955362520/506311 597888299983591/119132 -12500265327430565/1012622 1539086328274811/506311 2060453082782239/1012622 4913664136885513/2025244 -90689884364334/29783 8561554680626144/506311 -33966196149571941/2025244 -28975778703432049/2025244 -8682848185540702/506311 -462900710002855/59566 17477413710041219/506311 -19713724884864229/2025244 5811174696771927/1012622 8023222909756063/2025244 128113676958143/119132 -7106910430967573/506311 8822284214743801/1012622 -986786736610266/506311 13508990847338820/506311 -68348365397237413/2025244 1830141863121457/506311 11130633579394268/506311 -6666078520438307/506311 -40343504963730223/2025244 675858653817942/29783 16164353680605/155788 30821638166220111/1012622 -15064707358999511/1012622 5636589759176063/1012622 362490634440773/29783 1031778823895933/2025244 -3750806141839412/506311 3443856300396631/1012622 65430416223898185/1012622 -8296440738199/59566 -22626751109847466/506311 16886176744865685/1012622 -3923014937702565/2025244 73014166333245807/2025244] [5137655301429779/5063110 -6985061725696559/5063110 -95347625797947/506311 -8636210812020131/5063110 5137129334295607/5063110 -1263574202340109/506311 3111533601371489/5063110 2082784078235421/5063110 1241729491801044/2531555 -3116874273674537/5063110 8654344003714073/2531555 -1716715928638818/506311 -14644907729716489/5063110 -8776952074308877/2531555 -1590919786229361/1012622 35333664539792019/5063110 -4981845094357813/2531555 5874155659926257/5063110 2027544461057244/2531555 1100768368123397/5063110 -1436786891170658/506311 4458949649643812/2531555 -1994962877977161/5063110 5462160006066913/1012622 -34544559265692499/5063110 1849976768564862/2531555 4500506533806321/1012622 -13476649704759831/5063110 -10195186017779349/2531555 2322824056682865/506311 8169770720751/389470 15577840086678598/2531555 -3045595446650719/1012622 5697678583764621/5063110 6229127654667166/2531555 260740286679599/2531555 -3791457024239371/2531555 3481180489531747/5063110 13227908979827907/1012622 -142568065564417/5063110 -22871977702438056/2531555 1706918753416397/506311 -1982766099206979/5063110 36902743483373193/5063110] [7743432327543617/10126220 -5263914138972081/5063110 -287414333733479/2025244 -13016426769521653/10126220 3871319796832583/5063110 -1904448771483035/1012622 1172419540678058/2531555 784788809778567/2531555 3743049201246059/10126220 -2348863790954113/5063110 13043756963985719/5063110 -5174840599803411/2025244 -11036342970083701/5063110 -6614275427501778/2531555 -2397821376089271/2025244 53254612116963637/10126220 -15017192898976393/10126220 2213369920281919/2531555 6111797074120819/10126220 829534569959333/5063110 -1082756764321332/506311 3360246341234973/2531555 -1503395918760199/5063110 2058130795708417/506311 -26032639527544311/5063110 2788269952639701/5063110 6783126883287971/2025244 -5077974233358237/2531555 -30732203062206029/10126220 3500941545938123/1012622 6156705909519/389470 23478794009552419/5063110 -2295148356504337/1012622 2146873718578877/2531555 4694245294300554/2531555 785971278037819/10126220 -5714453227341343/5063110 2623403475543193/5063110 19936996938925799/2025244 -107438714982213/5063110 -17236229482187689/2531555 2572654076331955/1012622 -1494204478615271/5063110 27809757587343757/5063110] [11633258522987707/2531555 -31632728969179549/5063110 -1727174774925959/2025244 -19555082456474388/2531555 46528270271980929/10126220 -11444508823912147/1012622 414440310397196/148915 9432149188574681/5063110 22493311577220321/10126220 -7057578232000651/2531555 39192283333253073/2531555 -31097454444946937/2025244 -132642606524077183/10126220 -2338089963703876/148915 -3602339993017390/506311 80006467938340627/2531555 -90243643827038757/10126220 26601851380672357/5063110 36727958558269881/10126220 9969935499527409/10126220 -6506669819397415/506311 20192913289494637/2531555 -4517219923105418/2531555 12368038669971675/506311 -312878747138641043/10126220 8377852050324442/2531555 20381108862060669/1012622 -1795020591337969/148915 -184680719355732081/10126220 10519200363174101/506311 73995664743997/778940 141092409127428431/5063110 -13792361345468191/1012622 25802652806041561/5063110 28209386618586261/2531555 4723180490960821/10126220 -17170089139503291/2531555 15764962900525407/5063110 59904246528377035/1012622 -645637378602627/5063110 -103578622514594706/2531555 7729995872022624/506311 -17958410441505003/10126220 334237413776070411/10126220] [836327305352379/10126220 -284263809215541/2531555 -15521053568975/1012622 -1405835637892261/10126220 836241688004877/10126220 -205689472974941/1012622 126626854660856/2531555 84760902377139/2531555 101066753889997/2531555 -126844198051148/2531555 704393715239814/2531555 -139726813369783/506311 -2383954454469999/10126220 -714373021618416/2531555 -258976046618633/2025244 5751749925766269/10126220 -405481961756124/2531555 239054418467073/2531555 165025746703037/2531555 179187311421857/10126220 -6878991203731/29783 725844988309437/5063110 -81186934290664/2531555 222287858060102/506311 -330782136879147/595660 301146341909677/5063110 732609776111601/2025244 -1096890460960273/5063110 -829805813467412/2531555 189059120449545/506311 1329907134411/778940 2535820775228093/5063110 -123943437486759/506311 463745023792673/5063110 1014001380817221/5063110 21222152204967/2531555 -617187970326771/5063110 283339979157601/5063110 2153289942425455/2025244 -11603889896741/5063110 -3723188575891961/5063110 8172317787644/29783 -322762292492019/10126220 6007170637885853/10126220] [37537724700705401/10126220 -25517800306784183/5063110 -1393294301192317/2025244 -63099543459562659/10126220 9383470444100482/2531555 -9232168715675917/1012622 5683521220676309/2531555 3804409345163176/2531555 18145125375485007/10126220 -11386552967034899/5063110 3719531273500571/297830 -25085999798506157/2025244 -26750359956464214/2531555 -32063927157589324/2531555 -11623883942249191/2025244 258161611548144801/10126220 -72798628422998759/10126220 10729721295792677/2531555 29628070125775527/10126220 2010661357554137/2531555 -5248864278384151/506311 958201029613882/148915 -7287990615550147/5063110 9977170837121359/506311 -63099024725636269/2531555 13516655854852303/5063110 32882465908257025/2025244 -24616422117032021/2531555 -148980055485843537/10126220 16971463606712837/1012622 14922887207171/194735 113817809537868857/5063110 -11126157433217069/1012622 10407368618834371/2531555 22756224897353732/2531555 3810141605091877/10126220 -27701872093315879/5063110 12717435014562959/5063110 96648291198770875/2025244 -520829099681609/5063110 -83555819920159547/2531555 6235708946129828/506311 -7243433407129433/5063110 134812958881819451/5063110] [7838041377632961/10126220 -5328228502900713/5063110 -145462977272007/1012622 -13175461126027459/10126220 7837238958808903/10126220 -963858638130197/506311 2373488263424393/5063110 1588754676211007/5063110 947195419540913/2531555 -2377562147275169/5063110 13203125242509097/5063110 -1309516666126613/506311 -22342369434249421/10126220 -6695088469201209/2531555 -2427117894197339/2025244 53905275557039791/10126220 -3800168141538176/2531555 2240412816299297/2531555 1546617712130033/2531555 1679339599717163/10126220 -2191971716098573/1012622 6802603485878773/5063110 -1521764369009537/5063110 2083276983148630/506311 -52701411252066481/10126220 2822336962709523/5063110 6866002945145871/2025244 -10280033577345417/5063110 -457466004517114/148915 3543715956835557/1012622 12463856970349/778940 11882828645960301/2531555 -1161595209092729/506311 2173104163579926/2531555 9503198917699369/5063110 198893565681028/2531555 -2892136131724052/2531555 2655456149167919/5063110 20180586640291889/2025244 -108751397896229/5063110 -1026283604460011/148915 1302043348006261/506311 -3024921260506141/10126220 56299072931637037/10126220] [29811533814998283/10126220 -10132803370262907/2531555 -32544703565029/59566 -50112098921075727/10126220 29808481860309729/10126220 -215645893200878/29783 4513712176113832/2531555 6042735875224901/5063110 7205205203624693/5063110 -9042919131597997/5063110 50217317769806931/5063110 -585961218900609/59566 -84977900687283233/10126220 -25464379001633172/2531555 -9231401529014819/2025244 205025575566626643/10126220 -1700437430625023/297830 17042559280572717/5063110 11764940755337853/5063110 6387270356279909/10126220 -4168518368388638/506311 25873306098000059/5063110 -5787942142415411/5063110 466095450181754/29783 -200446747833588063/10126220 10734594232673769/5063110 26114442261878391/2025244 -19549754444088073/2531555 -29579070105037149/2531555 13478317219231383/1012622 47405554123577/778940 45195646576030643/2531555 -4418059714476787/506311 972385306602683/297830 18072431759243571/2531555 1512960177558263/5063110 -22000142606468347/5063110 5049936393703686/2531555 4515040338700101/119132 -206814802421251/2531555 -66357968439645741/2531555 4952246029626042/506311 -11505111806486583/10126220 214130244394573691/10126220] [16447518481612981/10126220 -5590435961533279/2531555 -8977726822341/29783 -27647677515806599/10126220 16445834667711213/10126220 -118975421937290/29783 4980579994037773/5063110 3333877772932527/5063110 3975231414554671/5063110 -4989128720174039/5063110 27705728504043477/5063110 -323284539368695/59566 -46883719599055191/10126220 -14049120951252079/2531555 -5093117590226295/2025244 113116016249974591/10126220 -938159580874961/297830 4701331547228512/2531555 6490913274135821/5063110 3523963171797573/10126220 -2299840837849309/506311 14274732821223793/5063110 -1596651919442756/2531555 514305206746703/59566 -110589800922228271/10126220 2961226990439499/2531555 14407771649554151/2025244 -21571848636058817/5063110 -32638528781182341/5063110 3718105766565003/506311 26154431927099/778940 49870378156145367/5063110 -4875033888788285/1012622 268240564194663/148915 9970860848825437/2531555 834725263852621/5063110 -12137844177585879/5063110 5572267610501139/5063110 2491022765916029/119132 -114103163373582/2531555 -36610793632661947/2531555 2732236409107466/506311 -6347561322089991/10126220 118139213310492537/10126220] [1398315776631/17459 -1901124429627/17459 -15265156299/1027 -4701035450357/34918 1398172621934/17459 -202298248799/1027 846866179300/17459 566871395135/17459 675923094841/17459 -848319751978/17459 4710906054685/17459 -274846246119/1027 -3985904909908/17459 -9555293084749/34918 -2165003385005/17459 9616764378787/17459 -159518694773/1027 1598769092810/17459 1103673659693/17459 299596158872/17459 -3910503246264/17459 2427184882188/17459 -542969093696/17459 437245950053/1027 -9401993579242/17459 1007016438674/17459 6124514900151/17459 -3667940102179/17459 -11099296150759/34918 6322030830303/17459 4447131923/2686 8479642273329/17459 -4144598954758/17459 91219843282/1027 3390763663429/17459 283862765681/34918 -2063841910972/17459 947472976807/17459 2117788427067/2054 -38802751023/17459 -12450133519988/17459 9291442405877/34918 -539649500180/17459 20087641285577/34918] [4266577480668937/2025244 -1450190082286515/506311 -395908258838841/1012622 -7171960829210731/2025244 4266140689925903/2025244 -5246690290316363/1012622 1291990062959937/1012622 864826377432463/1012622 515598534086101/506311 -647103825023850/506311 7187019576880697/1012622 -3564126577506928/506311 -12161896791575053/2025244 -3644419864160408/506311 -6605914697970895/2025244 29342921740838919/2025244 -2068592270456373/506311 2439102935754151/1012622 841889444539154/506311 914135583338051/2025244 -2982957319482813/506311 3702944834774255/1012622 -414180359623473/506311 5670078934575579/506311 -28687607476162337/2025244 1536317396818953/1012622 18687279219215951/2025244 -5595857132706097/1012622 -249018097560623/29783 4822486246614506/506311 6784604574865/155788 12936652579488005/1012622 -6323054091905509/1012622 2365825043041653/1012622 2586496583714229/506311 108266180846432/506311 -3148624073419303/1012622 722738555438889/506311 54925734852159321/2025244 -59197986504161/1012622 -558649578906099/29783 3543786361373710/506311 -1646592599639305/2025244 30645966908211097/2025244] [1102806053670535/506311 -2998709684993125/1012622 -818660908270235/2025244 -1853776675608332/506311 4410772615693729/2025244 -5424565089461191/1012622 667895740318822/506311 894145969695655/1012622 2132314013929903/2025244 -669042124578116/506311 3715337988200294/506311 -14739834478695941/2025244 -12574212905023137/2025244 -3767974031909882/506311 -1707467578330664/506311 7584428473180773/506311 -8554889115913555/2025244 2521794102875685/1012622 3481725688005407/2025244 945126869935065/2025244 -3084086394240406/506311 1914241566282213/506311 -428222021220757/506311 5862307577193965/506311 -29660182977089285/2025244 794201034879474/506311 4830205180616714/506311 -2892784743171984/506311 -17507305876771559/2025244 4985979559072545/506311 7014618127731/155788 13375234686316621/1012622 -6537420085388981/1012622 2446031923250155/1012622 2674184732950134/506311 447746608573509/2025244 -1627684814951224/506311 1494482091050677/1012622 14196960718458542/506311 -61204933173351/1012622 -9819014312857820/506311 3663928823258518/506311 -1702415854945723/2025244 31684935270613609/2025244] [3197759452040631/2025244 -1086903745337666/506311 -296729493980611/1012622 -5375316781007267/2025244 3197432081752719/2025244 -1966172364879806/506311 484167163846694/506311 648179187114103/1012622 772872445901743/1012622 -969996388248923/1012622 316859010043203/59566 -5342558293503499/1012622 -9115226572457401/2025244 -2731458205256108/506311 -4951070562092385/2025244 21992242207770117/2025244 -3100780668479789/1012622 1828084571897371/1012622 1261976346070263/1012622 685135970462845/2025244 -2235698286765548/506311 81627121101381/29783 -620848521347227/1012622 4249670512600807/506311 -21501090366980681/2025244 1151455352594901/1012622 14005938958560093/2025244 -2097020987552397/506311 -6345648071600841/1012622 7228815624744501/1012622 5084996846297/155788 4847949352506888/506311 -2369534606964548/506311 1773163484500703/1012622 1938554716838072/506311 162288956636669/1012622 -2359863951024459/1012622 541685708884428/506311 41166318575548869/2025244 -22184165306418/506311 -7117943750613983/506311 2656034347046230/506311 -1234105571780951/2025244 22968862228845587/2025244] [3257665331213/119132 -2214530960353/59566 -10277803526961/2025244 -5476016372469/119132 13843660318407/506311 -68102205991809/1012622 8385035946987/506311 330160994275/29783 26769941056133/2025244 -16798856292563/1012622 93287741601039/1012622 -185049903236467/2025244 -2321497134427/29783 -94609370421601/1012622 -85744981991381/2025244 22404238416983/119132 -107401571561103/2025244 15829816668334/506311 43711006171029/2025244 2966377062074/506311 -38718880446211/506311 24032170481866/506311 -10752148653993/1012622 73597803954518/506311 -186183026353683/1012622 1173026376567/59566 242561475645507/2025244 -36317201228960/506311 -219793869615979/2025244 125192048390967/1012622 44032195035/77894 9877538827991/59566 -82073442653817/1012622 15354242027667/506311 33572807469681/506311 5621192869541/2025244 -40869240073773/1012622 18762338814153/1012622 712937776617945/2025244 -768391828263/1012622 -123271916685913/506311 45998459212346/506311 -314306239630/29783 198892810882423/1012622] [45721624805290553/10126220 -31081140394830709/5063110 -1697057555081701/2025244 -76856380462848387/10126220 11429236014225546/2531555 -11244947783220349/1012622 6922631217328942/2531555 4633839106890883/2531555 1300064090199583/595660 -13869026606191257/5063110 77017753469130381/5063110 -30555199598114679/2025244 -32582420249804112/2531555 -39054440805085652/2531555 -14158100007855879/2025244 314445492804214683/10126220 -88670040649872007/10126220 768764341191933/148915 36087523068150231/10126220 4898043499693247/5063110 -6393211232235236/506311 39681607839321749/5063110 -8876903837989921/5063110 12152373785654081/506311 -76855748643759167/2531555 16463530294792319/5063110 40051435746130771/2025244 -29983245521365918/2531555 -181460390980971761/10126220 20671548359261779/1012622 18176345754233/194735 138632142077551901/5063110 -13551860155518691/1012622 12676362431713458/2531555 27717491805269486/2531555 272989476061543/595660 -33741379163831177/5063110 15490064917139097/5063110 117719359487162185/2025244 -634379226817447/5063110 -101772493649931736/2531555 7595205812627192/506311 -4411316175358727/2531555 82102306061785039/2531555] [19127002721822729/5063110 -13002360687203852/2531555 -354970154823236/506311 -32151792607313711/5063110 19125044595568057/5063110 -9408333486868269/1012622 11583944070099299/5063110 3877003652186233/2531555 4622840958797779/2531555 -5801913443677086/2531555 64438601493465551/5063110 -6391170352415203/506311 -54521600529909059/5063110 -32675758954854952/2531555 -5922843261724653/1012622 131543877157928709/5063110 -18546936117741338/2531555 10934461803052616/2531555 7548355454710359/2531555 4098056083796067/5063110 -10698042264583499/1012622 16600246040946457/2531555 -7427057309825371/5063110 10167551458268637/506311 -128606113166174939/5063110 13774575602134439/5063110 16754958376606999/1012622 -25086143424140148/2531555 -37955709216876874/2531555 8647653345780399/506311 30415280437571/389470 57994819085162528/2531555 -5669231292082350/506311 21211916220418771/5063110 23190450622369206/2531555 970711322207344/2531555 -28230468797178677/5063110 6480052163320291/2531555 49246248768873257/1012622 -530767366813167/5063110 -170300401295808607/5063110 6354696398618136/506311 -7381649874376169/5063110 68692704525074524/2531555] [4487106771203071/1012622 -6100587899136681/1012622 -1665487278050939/2025244 -7542662507138315/1012622 527840871017129/119132 -11035758582847587/1012622 1358769970908190/506311 1819054412105591/1012622 4337988814322635/2025244 -80064834117598/29783 7558499605980698/506311 -29986782751254529/2025244 -25581032894041253/2025244 -7665582599905018/506311 -408668164211963/59566 30859587906999685/1012622 -17404103265321281/2025244 5130348784782141/1012622 7083237735645205/2025244 113104128055003/119132 -6274278644289521/506311 3894341287707002/506311 -871176724618388/506311 11926303785410012/506311 -60340804000829969/2025244 1615726005948195/506311 19653180448643591/1012622 -5885093741482180/506311 -35616938483863781/2025244 596676370046877/29783 14270569379905/155788 27210635056062625/1012622 -13299755580139283/1012622 4976217880027733/1012622 320021937567793/29783 910897627453129/2025244 -3311368998156993/506311 3040380803375199/1012622 57764716070840813/1012622 -7324445864109/59566 -19975845010537965/506311 7453912579755572/506311 -3463402147507819/2025244 64459968788302639/2025244] [415647998750037/2025244 -282553690397219/1012622 -77138398088139/2025244 -698689096439463/2025244 207802723571141/1012622 -511130134295821/1012622 62932536399381/506311 42125492335371/506311 200917480458371/2025244 -126081108934999/1012622 700156113370453/1012622 -1388862231008133/2025244 -592403172001419/1012622 -355037692596664/506311 -643545145526399/2025244 2858573824255735/2025244 -806085198033395/2025244 118808138450238/506311 328065917850737/2025244 44527332552167/1012622 -290598318288813/506311 180369583984545/506311 -80698517079001/1012622 552376459355467/506311 -1397366706755465/1012622 149667328489769/1012622 1820506072062219/2025244 -272572902995758/506311 -1649627472855165/2025244 939608745805697/1012622 19439799025/4582 1260282693415973/1012622 -615988996500373/1012622 115238788848071/506311 251975297465014/506311 42188962718553/2025244 -306737496472911/1012622 140817709474903/1012622 5350839610258809/2025244 -5767040666553/1012622 -925197508249512/506311 690468046711161/1012622 -80205143185477/1012622 746378969668516/506311] [899706993591051/2025244 -611612546743495/1012622 -83486455131837/1012622 -1512374577432645/2025244 899614886557749/2025244 -1106386552124499/1012622 272446123774209/1012622 182368735661179/1012622 108725930638454/506311 -136456876687514/506311 1515550064883651/1012622 -751578899881162/506311 -2564618514829535/2025244 -768510604748020/506311 -1393010599518217/2025244 6187636817715869/2025244 -436210743098799/506311 514341525768033/1012622 177531950364885/506311 192766726854089/2025244 -1258051716914977/1012622 780851954368521/1012622 -174679104562795/1012622 2391335769597909/1012622 -6049448580514307/2025244 161984109726701/506311 231802765452405/119132 -1180016493782469/1012622 -892691278880910/506311 2033866546487817/1012622 1430691636855/155788 1363996886776694/506311 -666681434258121/506311 498889178668555/1012622 1090845801688985/1012622 22830439608950/506311 -19528251230106/29783 152406217055249/506311 11582367368444519/2025244 -6241635557592/506311 -2002672142304181/506311 747289692722747/506311 -347222306303707/2025244 6462414164562129/2025244] [696444528394353/148915 -946873181113793/148915 -51700107044689/59566 -1170697801610807/148915 1392746459839473/297830 -342572355591577/29783 421789790113583/148915 282335713548657/148915 336649953742841/148915 -422513755153294/148915 2346311760332232/148915 -465425313826427/29783 -1985218014474608/148915 -2379552496101308/148915 -215660124176669/29783 9579442719933511/297830 -1350646765164137/148915 796282219766139/148915 549695206312991/148915 149216726588474/148915 -389532699296353/29783 2417765228177941/297830 -270430945314297/148915 740433374024701/29783 -4682752710008838/148915 501554161136903/148915 610074628790535/29783 -1826852599801572/148915 -2764055235398591/148915 629749568590886/29783 1107468628712/11455 4223366829806607/148915 -412851419645042/29783 772359538384667/148915 1688802232143134/148915 70690280108511/148915 -1027916177614039/148915 471897969557159/148915 1793134083661805/29783 -19326082165519/148915 -6200907920002049/148915 462769164724154/29783 -268777588619678/148915 10004841616753497/297830] [24997076910620043/5063110 -33985566357779993/5063110 -1855641762701497/2025244 -42019172803601687/5063110 49989035672675393/10126220 -12295749584326037/1012622 7569527360191209/2531555 10133710955314887/5063110 24166360545598677/10126220 -7582519786560812/2531555 42107399182160551/2531555 -33410478197914523/2025244 -142508542665636271/10126220 -85407888689081563/5063110 -7740562946163555/1012622 171914672791157733/5063110 -96955951814585599/10126220 28580492889526609/5063110 2321163430763701/595660 10711497727499473/10126220 -6990634893787502/506311 21694858993168694/2531555 -4853210026906161/2531555 13287971434423115/506311 -336150618977729411/10126220 9000995365669819/2531555 21897052521537171/1012622 -32785076975606686/2531555 -198417242123201147/10126220 11301616825740352/506311 79499451041259/778940 151586840253125867/5063110 -14818235005052527/1012622 27721850045796417/5063110 30307596344865832/2531555 5074489910820177/10126220 -18447197658115072/2531555 996326962013797/297830 64359914931026789/1012622 -693659788799579/5063110 -111282784108987412/2531555 8304951744788786/506311 -19294154167478321/10126220 359097939838649347/10126220] [11542352180132759/10126220 -7846384946451037/5063110 -12600573744711/59566 -19402272219867721/10126220 11541170532333077/10126220 -166986432923501/59566 3495214698184447/5063110 2339610768160823/5063110 1394846312161997/2531555 -3501213925474271/5063110 9721505288107159/2531555 -113435470876483/29783 -32901522725962739/10126220 -9859232078877846/2531555 -3574190051149565/2025244 79381269475027089/10126220 -329185472451307/148915 6598493806627321/5063110 2277559592425097/2531555 2473006734714437/10126220 -1613956107399539/506311 10017559410963297/5063110 -2240960391519623/5063110 360923250022391/59566 -77608450851247339/10126220 4156192294159557/5063110 10110921881496513/2025244 -7569223115449279/2531555 -11452347484933057/2531555 2609249914970131/506311 18354358763971/778940 34997465951086653/5063110 -3421145754803927/1012622 188242807834267/148915 13994474312829571/5063110 292891994215957/2531555 -8517958038271441/5063110 1955221246001823/2531555 1748121583462771/119132 -80074018064758/2531555 -51384611504077121/5063110 1917397746203128/506311 -4454519285881699/10126220 82906391495133333/10126220] [19139085525294127/10126220 -6505287233274093/2531555 -177597197326043/506311 -32172103358845473/10126220 19137126163936971/10126220 -2353569217038233/506311 2897815453819348/2531555 1939726405174502/2531555 4625761274906247/5063110 -5805578596582743/5063110 16119827073072117/2531555 -6395207746962803/1012622 -54556042615855957/10126220 -16348200352319508/2531555 -5926584807611457/2025244 131626975329595177/10126220 -18558652486859229/5063110 10941369261581543/5063110 7553123860750827/5063110 4100644882920191/10126220 -2676200093330097/506311 16610732657460321/5063110 -1857937271378537/2531555 10173974448481599/1012622 -128687355512847337/10126220 3445819301054343/2531555 16765542724805389/2025244 -25101990705592209/5063110 -37979686391541047/5063110 4326558096821383/506311 30434494135573/778940 58031455253152659/5063110 -2836406313720172/506311 5306329023241287/2531555 23205100367289513/5063110 971324533513667/5063110 -14124151196415433/5063110 3242072853507094/2531555 49277358338202571/2025244 -132775666162999/2531555 -85203991264981093/5063110 3179355376066762/506311 -7386312958241257/10126220 137472197404568609/10126220] [53319940916439533/10126220 -18123202931666982/2531555 -494771396153341/506311 -89628872177698427/10126220 53314482289908969/10126220 -6556853064315546/506311 8073078965424462/2531555 10807841077845761/5063110 12886995958708143/5063110 -16173871386953637/5063110 89817063193897041/5063110 -17816530407060115/1012622 -151988712564040863/10126220 -45544761042936742/2531555 -16510984881594687/2025244 366702083957783143/10126220 -51702901512375041/5063110 30481767881983627/5063110 21042390838188043/5063110 11424064264368469/10126220 -7455676534428779/506311 46276154762563139/5063110 -608948546111833/297830 14171934068945960/506311 -358512541418777743/10126220 19199546521662899/5063110 46707443069424123/2025244 -34966055702548423/2531555 -105808327754287173/5063110 24106880318858033/1012622 84788033906247/778940 80835465232031478/2531555 -7901998079257240/506311 29566005093205301/5063110 32323764339489741/2531555 2706031421061513/5063110 -39348740366361107/5063110 9032152177573701/2531555 137282726045918753/2025244 -369902239719301/2531555 -118685706631985381/2531555 8857426368728178/506311 -20577669219459503/10126220 382986398852928881/10126220] W2 = [0 1 0 0 0 0 5 0 1 -1 0 -1 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 0 0 0 0 110 0 64 66 0 -29 107 -84 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 103 0 57 58 0 -29 101 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 88 1 49 51 0 -24 86 -65 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 102 0 56 58 0 -28 99 -74 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 51 0 32 33 1 -15 53 -41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 19 0 11 12 0 -5 19 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 82 0 46 47 0 -23 81 -60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 48 0 28 29 0 -14 49 -36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 87 0 50 52 0 -23 85 -66 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 20 0 8 9 0 -5 18 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 100 0 52 53 0 -28 96 -67 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 17 0 7 6 0 -5 15 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 117 0 66 68 0 -32 115 -86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] Compute T^*/(T^* meet WT^*). (0.589 s to compute intersection) (0.03 s to compute quotient) (1.03 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/68 + Z/10126220 Defined on 15 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 68*M.14 = 0 10126220*M.15 = 0 Time: 7.460 > S; Abelian Group isomorphic to Z/2 + Z/2 Defined on 2 generators Relations: 2*S.1 = 0 2*S.2 = 0 > factor(2025244); [ <2, 2>, <13, 1>, <17, 1>, <29, 1>, <79, 1> ] 1 > time S := S1F2(47); Compute a basis of q-expansions for S_2(Gamma_0(2*47))^new. (0.83 s). (0.081 s). Compute matrix of W2 with respect to B. (0.009 s). Compute a saturated integral basis BZ for S2N. (0.07 s). Compute the change-of-basis matrix from B to BZ. (0.05 s). Compute the matrix of W2 with respect to BZ. (0.011 s). Compute T^*/(T^* meet WT^*). (0 s to compute intersection) (0 s to compute quotient) (0 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/4 + Z/188 Defined on 4 generators Relations: 2*M.1 = 0 2*M.2 = 0 4*M.3 = 0 188*M.4 = 0 Time: 1.070 > S; Abelian Group isomorphic to Z/2 + Z/2 Defined on 2 generators Relations: 2*S.1 = 0 2*S.2 = 0 > factor(188); [ <2, 2>, <47, 1> ] 1 > time S := S1F2(NextPrime(200)); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. Time: 0.000 > time S := S1F2(NextPrime(205)); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. Time: 0.000 > time S := S1F2(NextPrime(207)); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. Time: 0.000 > PrimeSeq(190,230); [ 191, 193, 197, 199, 211, 223, 227, 229 ] > time S := S1F2(227); Argument 1 must be divisible by a prime = 3 mod 4 and by 9, or by a prime = 2 mod 3. Time: 0.000 > time S := S1F2(227); Compute a basis of q-expansions for S_2(Gamma_0(2*227))^new. (5.521 s). (0.649 s). Compute matrix of W2 with respect to B. (0.179 s). Compute a saturated integral basis BZ for S2N. (1.689 s). Compute the change-of-basis matrix from B to BZ. (0.871 s). Compute the matrix of W2 with respect to BZ. (0.159 s). W2Z = [-6113478030321853480097/128996168 -488767068290177846647/128996168 541618654671444584025/16124521 -1303506450504616461961/128996168 -1883406958536754066469/64498084 6900041626886362428489/32249042 4955679432828240940847/128996168 -21769429909489737541159/128996168 826821829173714927167/32249042 -5979225057283216268643/64498084 -299243132941654443625/6789272 -7162805058529142971220/16124521 2914121853504297286715/16124521 2696252599047779552905/128996168 40951970321323493140/16124521 -12364678459830464076817/128996168 -1519488051357436168152/16124521 -701573086134446888154/16124521 376665563262334399364/16124521 44981217189642874955/64498084 5982590146143163892839/128996168 -341377728644115638259/6789272 7127503267600849719977/32249042 -4165817166548376081382/16124521 2023033002219158469387/6789272 767261689364585292764/16124521 -6704455873570555077273/128996168 -16503100665221273022561/128996168 358271455647278180313/3394636 1146699873088990616169/16124521 -15977667669080202983917/64498084 13009472623558007561053/128996168 2790466135708236667995/6789272 -7461618594141429948427/32249042 16292884514905222845589/64498084 -2305487126040194151637/32249042 -523576997723275258949/1697318 4164705340625803996107/16124521 -9400857325179053393951/64498084 -12358319009555843736987/64498084 -270618378568741348779/9214012 -1880119637249441251667/128996168 12105162154972903154497/32249042 134776826659187444663/6789272 -4897043833929329540621/32249042 7456401555456575179621/16124521 -73143777703044763362511/128996168 1402127234267799087448/16124521 69767940960593159017471/128996168 107944895897738998333/6789272 -577959961579625245577/32249042 5038120005662100270103/32249042 1732140799016981145503/18428024 -36424772182084473780307/128996168 46664845072472503973/3394636 -98925467338500743637085/128996168] [-12219682434457263478245/225743294 -1953905233422186523757/451486588 34642973065541041182171/902973176 -1302731014770112510944/112871647 -7529146196000841751195/225743294 220669980778581338467259/902973176 39621851009052976029269/902973176 -87025918455500988988631/451486588 26442558902852444833113/902973176 -23902672436790916922129/225743294 -2392520942810448728323/47524904 -458146817093799121647533/902973176 93196425206121105086511/451486588 21557189122152811500519/902973176 1309683476174827177555/451486588 -12357322904728616211114/112871647 -1735524721742234702795/16124521 -44873966797188802194603/902973176 24092255409351486025533/902973176 179817834249451622571/225743294 23916124784874619293359/451486588 -2729397186699523179221/47524904 227944423252776012464747/902973176 -266453695145063954551437/902973176 4043659062637293906473/11881226 24537768233816832852761/451486588 -26801869987762679466483/451486588 -131946265816397760993271/902973176 5728933208398333968983/47524904 36672567012836121234919/451486588 -31936325605667882595565/112871647 52006933961706255658695/451486588 11155224523041883286257/23762452 -8522491192198076307569/32249042 130265537048440105645807/451486588 -73731700082239777447811/902973176 -598017748459786211469/1697318 266382580616127877566437/902973176 -75162119209762919701071/451486588 -49403868950368910833251/225743294 -3786403486600176929923/112871647 -3758002366578621937695/225743294 387134751426836624510707/902973176 1077573200152678299893/47524904 -78306090538231063912347/451486588 476925814913518043863235/902973176 -584802124849179851204517/902973176 89682760355932684529079/902973176 557811496772179300913575/902973176 431522724625382317707/23762452 -660132733918221556553/32249042 80561966501593770939675/451486588 96942181020633700922003/902973176 -36403103651056727535270/112871647 373096679049484097931/23762452 -790932944920137762270205/902973176] [-5478169988913271657382/112871647 -437974761959870392876/112871647 31061379277620434384391/902973176 -2336094080028337372003/225743294 -3375369446325886033785/112871647 197855823609050172932043/902973176 35525511610830376895061/902973176 -39014334234759706439427/225743294 23708772038659207556801/902973176 -10715736967829614550608/112871647 -2145168092059774761311/47524904 -410780911432228146653269/902973176 83561232033088397070923/451486588 19328480445826039982997/902973176 1174280715172253439749/451486588 -11079750368815771753681/112871647 -444598855595034562503/4607006 -40234632857341705141551/902973176 21601456708331031216437/902973176 161227211646505861749/225743294 21443535501079903042733/451486588 -2447216093576932307459/47524904 204378191544869315722779/902973176 -238906148994952035507037/902973176 1812800933342792001414/5940613 22000909803409872032699/451486588 -24030935435719090718491/451486588 -118304886795800544139775/902973176 5136642484626065127131/47524904 32881141896066302412163/451486588 -28634560910649747447840/112871647 11657538007740554491895/112871647 10001931969917212586047/23762452 -3820693027850398664427/16124521 116797921627842135159631/451486588 -66108884381988967317887/902973176 -536191165363188914773/1697318 238842386703211199211117/902973176 -67391418388579640615139/451486588 -22148103575666609448854/112871647 -3394942881284634000190/112871647 -6738956071330991080677/451486588 347110489704977292480671/902973176 966167361156234814525/47524904 -70210347517057000452765/451486588 427618426290676709808543/902973176 -524341850450674880812373/902973176 80410830467966298422823/902973176 500141671844331045470051/902973176 96727343458242906527/5940613 -84554905604066693373/4607006 72232997789269537830203/451486588 86919729637085982450983/902973176 -130558148949718686740515/451486588 334523755604084314561/23762452 -709161657079789444204421/902973176] [-1982377100560083213655/23762452 -158489265665277117861/23762452 2810033602297059707431/47524904 -422679418343582544071/23762452 -305359960984616895332/5940613 17899447020118890824645/47524904 3213890808678692032123/47524904 -7059029104345781120841/23762452 2144864382948807958073/47524904 -1938843776629922512281/11881226 -3687276504379961405915/47524904 -37162167010994358141345/47524904 7559544209664211187421/23762452 1748592007092397227997/47524904 106233797239673903887/23762452 -4009412532928668836555/23762452 -281551053743934547151/1697318 -3639911457076706018689/47524904 1954221628938102167673/47524904 7292880948437003889/5940613 484983737936414149443/5940613 -4206459361570308666129/47524904 18489506878774510495375/47524904 -21613151833051242669067/47524904 12463915183848834417899/23762452 1990359001000062720407/23762452 -543502394609171018088/5940613 -10702702679132778995525/47524904 8829248027260796117981/47524904 2974662289913659382265/23762452 -5180972655900133599191/11881226 4218495673230824939335/23762452 8596037039612783888667/11881226 -345647103960290873616/848659 10566371876768667195351/23762452 -5980680537828057311167/47524904 -921645764365914602815/1697318 21607383441997163838579/47524904 -6096707698837065640193/23762452 -4007350396034723869839/11881226 -614261426643219393375/11881226 -304826982015049732447/11881226 31402087172720491079759/47524904 1660721238245491778781/47524904 -6351728105455776839633/23762452 38685408529296988130353/47524904 -47435698385699269819459/47524904 7274536445533735660599/47524904 45246377864623325200261/47524904 665048976226766327289/23762452 -53546072987932722369/1697318 6534711455287492238655/23762452 7863377823623158900373/47524904 -2952805011678460254613/5940613 575004629595975980489/23762452 -64155814461550650665223/47524904] [-173566114444982155308/16124521 -55505818776830295225/64498084 984124793759460254221/128996168 -74015003782102516271/32249042 -106942603241729392111/16124521 6268711375082219866223/128996168 1125562920909856165823/128996168 -2472200174324440884025/64498084 751170454611631255923/128996168 -679018297235982957133/32249042 -67965851976788062597/6789272 -13014865699631918088815/128996168 378212807550456850047/9214012 612388672840996740743/128996168 37205004848812526203/64498084 -351042268572834356384/16124521 -345115020564889004278/16124521 -1274763087911124961811/128996168 684403900354315073375/128996168 2554099336542266245/16124521 679400446575722222839/64498084 -77535707988067917645/6789272 925051578890813698235/18428024 -7569318236196967442485/128996168 57435387163836949314/848659 697059864254042246185/64498084 -761377631307039788613/64498084 -3748280824172321076673/128996168 162745420305293846869/6789272 1041780749586858689929/64498084 -1814470703230449048749/32249042 1477393786679160054199/64498084 316893501383650955749/3394636 -847363245885345361727/16124521 3700535301610028350241/64498084 -2094542925045460639553/128996168 -59458936243409558822/848659 1081042577272011530519/18428024 -305025391959984653365/9214012 -1403446876505546888315/32249042 -215125505728995452679/32249042 -106755944328432071385/32249042 10997581145367070799845/128996168 30611301788517432263/6789272 -2224490520927579303799/64498084 13548332539252720738703/128996168 -16612842939850061780751/128996168 2547674758516841014017/128996168 15846103138405728891405/128996168 12258538306483351243/3394636 -131269649569161103951/32249042 326939230393919465903/9214012 2753897701650261522945/128996168 -2068251867703289441485/32249042 10598792766063314657/3394636 -22468531203268240135347/128996168] [-8297135027861859345665/902973176 -663348480629760824281/902973176 5880623879407830830113/902973176 -1769102461133399925157/902973176 -2556136093053260615873/451486588 37458596754377752253387/902973176 3362892710584387157571/451486588 -29545194820811654094689/902973176 4488608498541925984315/902973176 -8114928591579789718757/451486588 -203064496826746116757/23762452 -77770147145832336381119/902973176 15820037226760261500477/451486588 914829977819675246573/225743294 222317983790984547563/451486588 -16781185153274386247377/902973176 -589208559130906076615/32249042 -7617328923012434373683/902973176 4089645891563073865935/902973176 61047938814810956159/451486588 8119495647601494044181/902973176 -57914191725569382170/5940613 38693428997043451434581/902973176 -45230354781096026658897/902973176 2745634792826650836367/47524904 4165271426044943683935/451486588 -9099202678974349817471/902973176 -11198899703131137528809/451486588 972482972668038017475/47524904 6225146233461089270813/451486588 -21684688392293169231775/451486588 17656291633594141888103/902973176 3787185331134346499165/47524904 -1446687763260418988661/32249042 5528124176738528505943/112871647 -12515911822943777932385/902973176 -50756576885717421276/848659 45218283132503339147245/902973176 -3189681152766280374690/112871647 -16772554187829336421123/451486588 -2570958874487468794837/451486588 -2551674582197352371171/902973176 65715891632105709297353/902973176 91458701893738381343/23762452 -13292411856538838714687/451486588 80957870751454968494439/902973176 -49634904798874560481273/451486588 15223594727925848100253/902973176 11836020835742210158246/112871647 146501446867036216371/47524904 -112057135261289886113/32249042 13675345446968076942801/451486588 8227938513724431564785/451486588 -49435239916605905253275/902973176 15833234318510978662/5940613 -16782549068853447227400/112871647] [-45481583202295622285819/902973176 -3636211657706034998669/902973176 4029404176178546858551/112871647 -9697513721208935314335/902973176 -14011718021003881994195/451486588 102666539667277857086313/451486588 36868071714689077163033/902973176 -161954967824245659044689/902973176 6151190145858525461787/225743294 -44482800229145578692817/451486588 -2226237075049225339935/47524904 -106576228004917246122243/225743294 43359565499184731759607/225743294 20058931480538322557341/902973176 609329234922922936991/225743294 -91987760379799423056875/902973176 -3229806194021021868231/32249042 -20877578708063430571621/451486588 5604451695086294700053/225743294 334640439043777061431/451486588 44507835007745781491369/902973176 -2539699904330986489931/47524904 26512742115224070242344/112871647 -123967377735679142729161/451486588 15050474272592826774257/47524904 5708088945390771706588/112871647 -49878197995890770874175/902973176 -122775798371783288599499/902973176 2665381790563407163979/23762452 17061883735341647383025/225743294 -118866808364344505673903/451486588 96784744888530037930807/902973176 20759838686738626539717/47524904 -7930165008948577443085/32249042 121211882825894811897405/451486588 -17151808516321535177833/225743294 -39746757111074669979/121237 123934291755519607647849/451486588 -69938236873900336615279/451486588 -91940448871464187394461/451486588 -14092970593708343714711/451486588 -13987261798883167019677/902973176 90057073403712569457967/225743294 1002680213298904994573/47524904 -18215924345639588841795/112871647 221889370372936583652477/451486588 -544157482014555471069393/902973176 10431208904205079553813/112871647 519042743903508891711005/902973176 803062469462663231271/47524904 -614252498444614663587/32249042 18740696628348445550587/112871647 90204551050140387955043/902973176 -270984257800125379520329/902973176 347165888755799300483/23762452 -735961894565786106114731/902973176] [-35928923273168390254341/451486588 -2872485090803455987217/451486588 6366187950783377901950/112871647 -7660710157781492505567/451486588 -11068786666083124666109/225743294 81103118376959782535643/225743294 29124538474726567205219/451486588 -127938985474280314753777/451486588 9718467266463446187827/225743294 -17569959133788236621256/112871647 -1758652523188543817003/23762452 -168383281720901150288533/225743294 34252600553700514719931/112871647 15845882209078208761357/451486588 481349631833828026957/112871647 -72667241376715802803951/451486588 -2551438423241346769332/16124521 -16492586025318661162783/225743294 8854657237647454430781/225743294 264354708256725769905/225743294 35159694901900951732627/451486588 -2006277630963727097171/23762452 83776703461026885249925/225743294 -97930065082173618883609/225743294 11889369219176369888861/23762452 9018397132007213968555/112871647 -39402101303892316313411/451486588 -96988757402780011285155/451486588 2105562100178158026457/11881226 26956630286866069787329/225743294 -93900786576694879757915/225743294 76456698036353299604995/451486588 16399575362661070875297/23762452 -6264564029857632119903/16124521 95753316644176063491161/225743294 -13549352700366999270767/112871647 -62797206519802323677/121237 97903928269009383965609/225743294 -55248858319782981648393/225743294 -72629866874044422050225/225743294 -11132973469727802312331/225743294 -11049467071947194122817/451486588 142284127011865891312685/225743294 792083694424323099189/23762452 -28779936936376983460160/112871647 175285150646613958808013/225743294 -429866135768877609259403/451486588 16480609423757258369222/112871647 410026336116256709305537/451486588 634392380769855580511/23762452 -485238844672736666815/16124521 29609041895079580765224/112871647 71258565893710975235671/451486588 -214068462907988204925105/451486588 274249392873797110891/11881226 -581385180111653964381855/451486588] [-9429905624110450633215/112871647 -1507824941315060635075/225743294 53467832457818044781861/902973176 -2010630077954258609035/112871647 -5810227756673429995669/112871647 340581206422931349883655/902973176 61152213680179107625611/902973176 -67157735259374076234789/225743294 40811344525738723915715/902973176 -18445646722158476866940/112871647 -3692607695072552469649/47524904 -707102049558782416662995/902973176 143839007095640304391437/451486588 33271283445105859432633/902973176 2021360480360718642139/451486588 -19072245024905204411403/112871647 -2678602234079515711718/16124521 -69258309149462293730627/902973176 37183895080860894781259/902973176 138765079665602287841/112871647 36912055747024829470705/451486588 -4212541204624538967123/47524904 351808553183800124602189/902973176 -411243616499929576587045/902973176 3120483984855857243431/5940613 37871497874398615517961/451486588 -41365903883328879950791/451486588 -203645363253280988563661/902973176 8842013656540189819489/47524904 56600300012668469395015/451486588 -98580806189562598295389/225743294 40133651728569394935145/225743294 17216930968913295529975/23762452 -6576790195309972148474/16124521 201051332885215107350077/451486588 -113797224602197964159645/902973176 -461489155693368158914/848659 411133858607291396490601/902973176 -116004928026212918641551/451486588 -38124871424990299380437/112871647 -5843920695149732831754/112871647 -11600173029731619314475/451486588 597502298337044008438445/902973176 1663122365906450265199/47524904 -120857321379540491103509/451486588 736085483147200246682035/902973176 -902581368327011372069219/902973176 138416030171361258184389/902973176 860924135928912792766065/902973176 166502631705137267222/5940613 -1018846342959198385071/32249042 124339031734667756902585/451486588 149620192328774592646077/902973176 -224737645152670796263919/451486588 575835990988539098493/23762452 -1220722889584302348142371/902973176] [-8160339391644002107677/451486588 -652411792587808473151/451486588 11567338974097941953495/902973176 -1739935104462305629507/451486588 -1256996419878667208798/112871647 73682026777676114270939/902973176 13229793543869134022059/902973176 -29058080448305536549069/451486588 8829208786242616625849/902973176 -7981137009808443152481/225743294 -798866214390971770913/47524904 -152975887006054489774709/902973176 31118421605842857193289/451486588 7197976727716077136887/902973176 437305213066526161351/451486588 -16504512194256471547805/451486588 -579494222864151105829/16124521 -14983482626432513391655/902973176 8044439039434759952597/902973176 60041435774634685495/225743294 1996407192088322563691/112871647 -911349681038361718389/47524904 76110973675143788876627/902973176 -88969275437554219129873/902973176 2700367256858471236195/23762452 8193196417969511704647/451486588 -2237295819715047435763/112871647 -44057049612260171752129/902973176 1912899111058890848479/47524904 12245023338073298988907/451486588 -10663585459856995205919/112871647 17365190712715443587065/451486588 1862372827327366982419/11881226 -1422836087673686155924/16124521 43495851837873708417523/451486588 -24619121643348520480463/902973176 -99839496972068101075/848659 88945530193153340486789/902973176 -25096740665589223359191/451486588 -16496023528340354670887/225743294 -2528571236616847947047/225743294 -1254802443122897711653/225743294 129264855240199853961191/902973176 359803255107151665059/47524904 -26146517254117974795239/451486588 159246221626687121085503/902973176 -195266278044474254343539/902973176 29945203813979953752767/902973176 186254068165726771297977/902973176 144086063898858540643/23762452 -220419277718594917335/32249042 26899757511597116650207/451486588 32369134907459608106649/902973176 -24310098261159159506003/225743294 124577522503934990725/23762452 -264093657965315662788287/902973176] [-27074738099829901408161/451486588 -2164600952215213630535/451486588 38378633314730694450939/902973176 -5772834315230667444833/451486588 -4170518801643210321001/112871647 244465515700609417862209/902973176 43894399255238495917539/902973176 -96410195711623791872459/451486588 29293942818238366503901/902973176 -26480172442422324401719/225743294 -2650513966806987832601/47524904 -507550222790880949205829/902973176 103246087524375525822997/451486588 23881768318503489149429/902973176 1450910745892861761729/451486588 -54759406892134146061317/451486588 -1922671786234429151219/16124521 -49712867132635338117333/902973176 26690198740478586522005/902973176 199208154307659110417/225743294 13247537699658778900665/225743294 -3023716630798937647503/47524904 252524384082316519068115/902973176 -295186231331259918767899/902973176 8959398959271738705475/23762452 27183752607660043287079/451486588 -14845999771200142989401/225743294 -146174444769362533679157/902973176 6346702012951685755075/47524904 40627084731809311712273/451486588 -70760239170057289898291/225743294 57615004479077770462335/451486588 3089531827301230450554/5940613 -4720749050241517949798/16124521 144312477756170760527089/451486588 -81682420148363632148515/902973176 -662503874607346018129/1697318 295107448300017821342043/902973176 -83267085848900241140801/451486588 -54731242817643442360295/225743294 -8389406458788584231029/225743294 -2081619763839900035707/112871647 428880703751685889681155/902973176 1193771292094327520727/47524904 -86750081449163771419937/451486588 528354218740581350375913/902973176 -647863168926070627401187/902973176 99353533192471969464163/902973176 617962056918689030018405/902973176 478055171074338137351/23762452 -365658456711646104971/16124521 89249215580567348113551/451486588 107395759915939033168957/902973176 -40328564292067404983046/112871647 413328862078134977991/23762452 -876221720699359381651803/902973176] [-48616461846752947173455/902973176 -3886842384912592521477/902973176 34457089767524609012657/902973176 -10365927758902071065411/902973176 -14977494330962696796133/451486588 219485935063950230787737/902973176 9852313154470797544465/225743294 -173117929494637239862125/902973176 26300676448146236737459/902973176 -47548836428099938744341/451486588 -297460428486952479411/5940613 -455688545363598421803267/902973176 92696362499381713926591/451486588 10720760012603725553089/451486588 1302656126546118608011/451486588 -98328139171879489740751/902973176 -493203554834234608785/4607006 -44633187204526184863905/902973176 23962983944004859331979/902973176 357705976609482622153/451486588 47575596762129296845543/902973176 -1357376049904932634543/23762452 226721345167690322394929/902973176 -265023988418435170893763/902973176 16087848239463075907269/47524904 24406106286771011348277/451486588 -53316119165561474698001/902973176 -16404785456504309165962/112871647 5698193554590982325547/47524904 36475793552019758580421/451486588 -127059861306647785721215/451486588 103455762221212131953679/902973176 22190738193292145923015/47524904 -8476762184842835003821/32249042 64783286573022755285285/225743294 -73336078968724910117677/902973176 -594808973302243947589/1697318 264953255467695396992171/902973176 -37379411458543310599649/225743294 -98277566654875731408177/451486588 -15064347345363932351313/451486588 -14951352431188638070227/902973176 385057508107221803610541/902973176 267947820316216429981/11881226 -77885924684207405813799/451486588 474366780987140503404221/902973176 -145416065142882227103469/225743294 89201550869707657080865/902973176 277409227858025819512575/451486588 858414618803825271583/47524904 -93798667040619246893/4607006 80129696326638542843885/451486588 12052752470782525190756/112871647 -289662208367132804943067/902973176 185547379805582941403/11881226 -393344523745773333397039/451486588] [-2925209181618304698885/47524904 -233867842289486003517/47524904 2073252382650330149201/47524904 -623708634986965205613/47524904 -901182485732342535803/23762452 13206273103727065612933/47524904 1185609803958274236323/23762452 -10416351532465262909233/47524904 1582488262338000635907/47524904 -2860971111661330576289/23762452 -1360242594954612575729/23762452 -27418373658241011196111/47524904 5577457519235758228265/23762452 645058575460475125609/23762452 78379658188112054089/23762452 -5916316502498321049625/47524904 -207729328409154330971/1697318 -2685539096348067345969/47524904 1441831387749537819067/47524904 21522849819834164553/23762452 2862581257110683056313/47524904 -1551770036978987058655/23762452 13641621281365989124709/47524904 -15946257189888212913435/47524904 18391838326020544893425/47524904 1468493664196670389421/23762452 -3207983374087775086635/47524904 -3948245282933921112453/23762452 6514249329462002968137/47524904 2194715990265103279589/23762452 -7645078617216955277353/23762452 6224841011564122088363/47524904 25368741867228054687755/47524904 -510039226047735419709/1697318 1948976308643829691053/5940613 -4412566513363593936881/47524904 -679993390601889516791/1697318 15942001251280484547491/47524904 -2249085874383153781791/11881226 -5913273599221168080925/23762452 -906408354204178576747/23762452 -899609550920964419523/47524904 23168567093936787582849/47524904 612642898877796204791/23762452 -4686326675175172929185/23762452 28542226449393123017937/47524904 -17499110085452481230991/23762452 5367177818105394482005/47524904 8345733004531078912667/11881226 981350809053808203429/47524904 -39506475407644055021/1697318 4821332415218218785897/23762452 2900813498311839886641/23762452 -17428716926259909006423/47524904 106060094563487682539/5940613 -11833594719699526417701/11881226] [-30613332245483989231873/902973176 -2447508370523002502353/902973176 21697307808839660131601/902973176 -6527327955627052207577/902973176 -9431188382320457083081/451486588 138208244658022772876967/902973176 12407819266449371757145/451486588 -109010744343659137296241/902973176 16561290472475034972631/902973176 -29941058484428423418679/451486588 -749232221452840155657/23762452 -286942823680800582135787/902973176 58370034250670962388053/451486588 1687690628456677821846/112871647 820270404071610411119/451486588 -61916311455108449235917/902973176 -310565674984485198545/4607006 -28105101382615578651583/902973176 15089267322320055135515/902973176 225244114692774549139/451486588 29957909216988949098781/902973176 -427363514531222470563/11881226 142764314866018024491945/902973176 -166883131809370228632581/902973176 10130367874611225604011/47524904 15368297325516311910585/451486588 -33572662593178489617091/902973176 -41319761127732829272497/451486588 3588099295165343624371/47524904 22968466739630540585887/451486588 -80008408705400780290891/451486588 65145127828738800493111/902973176 13973300714995892433221/47524904 -2668869013427409083030/16124521 20396715438340846553439/112871647 -46179044417659678598597/902973176 -187272829311344231226/848659 166838591930501933738689/902973176 -11768733250561137064929/112871647 -61884466413187782264297/451486588 -9485878914814296276581/451486588 -9414727072037329312435/902973176 242467118780917822161373/902973176 337448482929483158117/23762452 -49044039797059498172151/451486588 298704334312844339659875/902973176 -183134277853555539151183/451486588 56169383987558968406733/902973176 87341000741173582525221/225743294 540535673135914677979/47524904 -59064145131522957885/4607006 50456921857240520919705/451486588 30358022928424633108967/451486588 -182397588941284174707379/902973176 58418726594832810882/5940613 -123842687589320521279049/225743294] [-7450619355396354509391/128996168 -85095759173940399823/18428024 1320163223528036459333/32249042 -1588609682057174422763/128996168 -327906594711435945695/9214012 2402634378071198273347/9214012 6039586781573135413845/128996168 -3790120663022286003987/18428024 1007664490385282055183/32249042 -7287002541124630878459/64498084 -364693660009302737107/6789272 -8729455433276243922183/16124521 3551499257544481228649/16124521 3285977589494260373841/128996168 14259712776278483849/4607006 -15069083784899991251795/128996168 -3703661656944284249069/32249042 -488583607643182407783/9214012 459049942149836359941/16124521 7831359912819803053/9214012 7291103642996283783481/128996168 -416043944203588198287/6789272 8686432426492545383927/32249042 -2901123233259335982607/9214012 2465511247146183835833/6789272 1870154686115045562445/32249042 -8170856008849714925359/128996168 -20112662649722320544155/128996168 436632671074002637001/3394636 1397506333856516023852/16124521 -19472306827456098843061/64498084 2264986782408805949097/18428024 3400797532626654595633/6789272 -9093625534329196685575/32249042 19856467974515458846417/64498084 -1404871901043517846329/16124521 -638093879446224623213/1697318 20302442613835941024087/64498084 -11457015007970941978085/64498084 -15061333394194239123317/64498084 -2308656649296625610711/64498084 -2291339838022475802013/128996168 7376403006988815830790/16124521 164255245276970099993/6789272 -852589484422389467779/4607006 36349069694958789806311/64498084 -89141801635365087415137/128996168 3417601652790792950013/32249042 85027601101852255138261/128996168 18793518347095880573/969896 -352185748851276380927/16124521 3070029387757466060940/16124521 14776965239088020281559/128996168 -6341658108052526211895/18428024 56871390751562135513/3394636 -17223209767902107076137/18428024] [-44182921423980962471441/902973176 -3532384816923116106367/902973176 31314802267933533066105/902973176 -9420615039858988069865/902973176 -13611633385395020218751/451486588 199470085938538909913731/902973176 17907678239547173521295/451486588 -157330574570693405395159/902973176 23902206716912931037395/902973176 -43212657274951070699131/451486588 -1081335024338924055331/23762452 -414132382917388105111999/902973176 84242989823262670018329/451486588 9743088642183146164287/451486588 1183861414330743722659/451486588 -89361181002676210973273/902973176 -224113120139825513620/2303503 -40562898414441915538903/902973176 21777698262359376121447/902973176 325085258307187236421/451486588 43236977221133525720297/902973176 -1233591196841672119597/23762452 206045668445787756294421/902973176 -240855331938226070690593/902973176 14620729432876295292931/47524904 22180410407750651161801/451486588 -48453997149135354608775/902973176 -59635055227731020427357/451486588 5178551225605945445375/47524904 33149411931009907011807/451486588 -115472736085760524550699/451486588 94021194456444794361009/902973176 20167071084376817600913/47524904 -7703730450876041898665/32249042 29437712572189990514987/112871647 -66648252290174557181037/902973176 -540565831642212333161/1697318 240791049423910776373165/902973176 -33970625105409195315753/225743294 -89315220407024103099275/451486588 -13690565906704954008507/451486588 -13587875475836823658869/902973176 349942488164667219107789/902973176 487025054520658897137/23762452 -70783178364639865003359/451486588 431107271371733159952407/902973176 -264309920382311321355279/451486588 81066884821787038131289/902973176 126055554550367087095767/225743294 780132165342639219121/47524904 -85244770559262578151/4607006 72822330997412624109395/451486588 43814444336807870009289/451486588 -263246688583048846850833/902973176 84313265414264674005/5940613 -178736887928974973988433/225743294] [-8451863240080861427118/112871647 -2702875447956781446287/451486588 11980576097220033736635/225743294 -3604186748553234605597/225743294 -10415215666118145962739/225743294 152628557144223917012433/451486588 13702420985306359464577/225743294 -120384660579109071325097/451486588 9144627643288432279149/225743294 -33065035788252745821311/225743294 -827405291263655872121/11881226 -158440870404137016306171/225743294 64460221820939711061423/225743294 7455120674299430278343/225743294 452927712638791281586/112871647 -34188254486802905650073/225743294 -2400785401195436955527/16124521 -31037519382688632796921/451486588 8331822408524855339711/225743294 248745538414261619029/225743294 16541822342656028154067/225743294 -943907170811438715829/11881226 78829998324630183607275/225743294 -184295312358523416064439/451486588 2796836462014135766487/5940613 16971788132907392291687/225743294 -18537776323567593035823/225743294 -45630964622079618130581/225743294 1981236429369219905627/11881226 25364940759931932566319/225743294 -44178145849137093499686/112871647 71942212203614680382265/451486588 3857810241258249176163/5940613 -11789329290282880467491/32249042 90099436702586986081229/225743294 -25498626862696548203415/225743294 -827249685453488024423/1697318 184246125296897916977887/451486588 -51986617148433159935635/225743294 -68341341297375135769841/225743294 -5237806237954124994536/112871647 -10397036822711221585389/451486588 133882774453934746386445/225743294 372657037845156093613/11881226 -27080587881247593336309/112871647 329870418886395051034437/451486588 -202242063500623895106915/225743294 15507490263901938388033/112871647 96453948573350137538889/112871647 596933852100182556157/23762452 -456587281813885596384/16124521 55721474504397254624619/225743294 33525505289366861687237/225743294 -201428510256949412812771/451486588 258055978424006924023/11881226 -136764132750481584969282/112871647] [-3095787137209837910005/64498084 -247505396371785695701/64498084 2194150113684423303447/64498084 -660079006210108263637/64498084 -953733211676004475117/32249042 13976371557257468471801/64498084 89624740194607529701/2303503 -11023761067583605111349/64498084 1674768026203632768053/64498084 -1513901573785938519866/16124521 -10823778417648873719/242474 -29017223461413044085771/64498084 5902696243019443498115/32249042 97524846780000543251/4607006 82950217428018424889/32249042 -6261315137115738238383/64498084 -1538898656772870935630/16124521 -2842141151201022770377/64498084 1525909016103578199059/64498084 22777913472623703153/32249042 432786740794404122507/9214012 -12347808470126416739/242474 14437106227793632365265/64498084 -16876132553291507197699/64498084 1024438055613876818365/3394636 1554126051997103145815/32249042 -3395050763648211101041/64498084 -596925660577603701893/4607006 362848172029470003353/3394636 2322696638307632188797/32249042 -1155840956354870585393/4607006 6587830660409542884699/64498084 201865197960934295907/484948 -7556936575853735854253/32249042 589322034026622724043/2303503 -4669876855301122136943/64498084 -265132699725318549000/848659 16871628437797307951743/64498084 -2380236997801218116738/16124521 -6258094792777822259933/32249042 -959263816631578347567/32249042 -136009793455990571245/9214012 24519597589021757523471/64498084 4874947315424079809/242474 -4959600815195221090059/32249042 30206611569733328812701/64498084 -18519537083222364579223/32249042 5680154484957690241297/64498084 2523542399084224808449/4607006 54661915621553384343/3394636 -292671537544796598509/16124521 5102479155691706067309/32249042 3069968866483010051101/32249042 -18445039082140835018931/64498084 1687891508129640942/121237 -25047296138960512392365/32249042] [-842321739264136423849/128996168 -67342865225916370039/128996168 596998520263569904761/128996168 -179598555042719615233/128996168 -259497886013228171081/64498084 3802781353152512297451/128996168 341399486380073893747/64498084 -2999416039969721933083/128996168 455681690688617564083/128996168 -823824216709791963023/64498084 -20615024291582545015/3394636 -7895193387444130993567/128996168 229434811402126827377/9214012 185746327005735045505/64498084 22569630378167031249/64498084 -1703619022440103968441/128996168 -418713475982862304039/32249042 -773308102788851656647/128996168 415179170736408956863/128996168 6197561667727800857/64498084 824287862360825619913/128996168 -23517699802906283259/3394636 561163002159144913987/18428024 -4591767035104531248061/128996168 278735716161278389539/6789272 422856643927313160241/64498084 -923747317686524993503/128996168 -1136907696947214086493/64498084 98726071853942261007/6789272 631974288104828341031/64498084 -2201420656728112638491/64498084 1792459472796700874413/128996168 384473498903491123449/6789272 -1028070031620268796577/32249042 561212895268326503346/16124521 -1270610226274095557365/128996168 -36069507829550899315/848659 655791646614135198159/18428024 -92518605769135883551/4607006 -1702742810374056766911/64498084 -261002688694744810453/64498084 -259044955264116514145/128996168 6671450320016419730517/128996168 9284849841698673289/3394636 -1349440190670314085549/64498084 8218809778254211794879/128996168 -5038915143360289497787/64498084 1545493082373513339193/128996168 2403175945154662740465/32249042 14872766697827629517/6789272 -79631960342104635553/32249042 198330778778233263123/9214012 835296937577258132429/64498084 -5018645246542015607189/128996168 1607383443147948069/848659 -1703757486589330542051/16124521] [-31438771643476942924687/902973176 -2513501507753415710079/902973176 22282340909848670986581/902973176 -6703326883642828114575/902973176 -9685485248739016790975/451486588 141934808279171519478775/902973176 6371188104963253159891/225743294 -111950044203740157302135/902973176 17007839104553527056963/902973176 -30748371098830024431891/451486588 -384717033240735435141/11881226 -294679776644240313769911/902973176 59943888594469349172289/451486588 6932785996298739801521/451486588 842387679744070336231/451486588 -63585785475238570918035/902973176 -2232577061683929891683/32249042 -28862910358775664499919/902973176 15496125211386722247335/902973176 231317460937566402925/451486588 30765676184364925022567/902973176 -877773372356918141785/23762452 146613725612058677378709/902973176 -171382867765955249398653/902973176 10403516994504877802805/47524904 15782678811034501572445/451486588 -34477895587015873803673/902973176 -10608470551661925318746/112871647 3684846637087858410151/47524904 23587774602177240781839/451486588 -82165707106847699033089/451486588 66901661703129181562673/902973176 14350068354587369446587/47524904 -5481661570629782999971/32249042 41893360304648058815349/225743294 -47424188275843078845709/902973176 -27474620107787805968/121237 171337126940696886717817/902973176 -24172116529520648119605/225743294 -63553081782844199558069/451486588 -9741650423714073534279/451486588 -9668580085629936912705/902973176 249004855703989334991001/902973176 86636809994964181719/5940613 -50366433659988336686683/451486588 306758417544159463316299/902973176 -47018049973801092741810/112871647 57683901327015429710049/902973176 179392021449711015145143/451486588 555110350503598950885/47524904 -424597005432776773421/32249042 51817411818556525613653/451486588 15588289160108513259945/225743294 -187315647348116636359337/902973176 119987787699170475633/11881226 -254363814015015433839463/451486588] [-14544367422884388887059/225743294 -1162809090040403113767/225743294 41233487988650235739807/902973176 -3101127813039862654905/225743294 -8961498733097931317733/225743294 262650465497718793140797/902973176 47159552806827242719717/902973176 -51790909465929544477109/225743294 31473018578606424896001/902973176 -14224970745934810870945/112871647 -2847676594365287644647/47524904 -545305140062187720104817/902973176 110926209250329322680597/451486588 25658251012569473429275/902973176 1558839011352009960805/451486588 -29416385516336051394129/225743294 -2065692734644225724274/16124521 -53410836518978138155993/902973176 28675590924646234057417/902973176 107013282241224803044/112871647 28465953028525995450549/451486588 -3248640522310537695801/47524904 271308805410299823429031/902973176 -317144120901790975962095/902973176 4812928932918275058147/11881226 29205858568292653537111/451486588 -31900685374865818713163/451486588 -157047859500816323397187/902973176 6818811370183465631403/47524904 43649193981588418003185/451486588 -38011925124658969588287/112871647 15475196678266398102027/112871647 13277405940631234179339/23762452 -5071909352901660101128/16124521 155047387158716029264939/451486588 -87758494745009776838743/902973176 -101683608808487324673/242474 317059477471529766676327/902973176 -89461038282536123029387/451486588 -29401255964721972571820/112871647 -4506732790789414703608/112871647 -8945857224809801453595/451486588 460783665788362425175911/902973176 1282571837045483310457/47524904 -93203121958894113156673/451486588 567656673793813044373157/902973176 -696055484183920886016021/902973176 106744101175415162591303/902973176 663930131186257009217487/902973176 128404013196321379927/5940613 -392858533005183192558/16124521 95888158091999757142915/451486588 115384561513974233740731/902973176 -173313870527871789474847/451486588 444074976044536699685/23762452 -941400844046836171860425/902973176] [-7427936071598930360524/112871647 -2375427224343690620739/451486588 42116608290138418539059/902973176 -1583773186922802247360/112871647 -9153432082639886414861/225743294 268275795043941442535459/902973176 48169594899416651534045/902973176 -105800287745096181814905/451486588 32147093535920961696033/902973176 -29059269543732201366175/225743294 -2908666850955948052199/47524904 -556984240307778133917797/902973176 113301976912358283341155/451486588 26207787893274939097779/902973176 1592225524228590696619/451486588 -15023206215834206567816/112871647 -2109934812615002173665/16124521 -54554765794676335010835/902973176 29289751834576984584101/902973176 218610489184674853709/225743294 29075624008279651253699/451486588 -3318218443981389482473/47524904 277119575386788235310483/902973176 -323936571051608728255613/902973176 4916010080248091825183/11881226 29831376512133630262161/451486588 -32583919907284781268027/451486588 -160411439925266647947035/902973176 6964853605433752268291/47524904 44584052787599468692123/451486588 -38826047441584500906318/112871647 63226549923770548139273/451486588 13561775449718101724977/23762452 -5180537226393433628795/16124521 158368122366231431206083/451486588 -89638066717157482127851/902973176 -727029958276990983065/1697318 323850114766426181888197/902973176 -91377074566472932343847/451486588 -60061917684244278452421/225743294 -4603255966855039592274/112871647 -2284363892890565102721/112871647 470652523110447362713631/902973176 1310041383830475314237/47524904 -95199304508055087895019/451486588 579814489136541446599755/902973176 -710963287501803520592805/902973176 109030298327547857807747/902973176 678149888141616505987875/902973176 524616450411353656753/23762452 -802545200763611460881/32249042 97941847537497943510219/451486588 117855816159697378371151/902973176 -88512914530531014651741/225743294 453585974164214740467/23762452 -961563343941213280832869/902973176] [-10564001894969067467/242474 -2956038565122547339/848659 29949095246515594769/969896 -2252440353091360591/242474 -45563000983101209945/1697318 1335395314344652745809/6789272 239773593111615468205/6789272 -263320827150985528087/1697318 22859779200961639759/969896 -10332014693158337136/121237 -275090719903673514357/6789272 -396071163871277600455/969896 563982781413310964275/3394636 130454397297697910739/6789272 7925614400235295635/3394636 -21365986110112009233/242474 -73518296472257918858/848659 -271557031842729190377/6789272 145795476449171151121/6789272 1088176526980057353/1697318 144729613254687897213/3394636 -313824562016266301687/6789272 1379416963144525503519/6789272 -1612457728645769646863/6789272 66419665352123038415/242474 148491519364351702415/3394636 -23170406175290470169/484948 -798479360422330420835/6789272 658709536196198296465/6789272 31703693569364406547/484948 -193264255612486194502/848659 78680633950364428730/848659 1282621476711492601697/3394636 -180509970932953273300/848659 788308347067935583423/3394636 -63741576228831154313/969896 -481318223789555459455/1697318 1612027375552942715551/6789272 -454847285773967746577/3394636 -21354997071725269758/121237 -45827216338026352695/1697318 -45483474770051726689/3394636 2342765115813877908231/6789272 123898763883211828827/6789272 -473873183930381661673/3394636 2886140182178033652301/6789272 -505565573264670168739/969896 77531380658027161545/969896 3375623890702978060575/6789272 12404060383327877302/848659 -13981890731733714077/848659 487524729014073701815/3394636 586650408182172396203/6789272 -881180736441016261651/3394636 42898447489796821403/3394636 -4786369876322055626733/6789272] [-3344978592272969108809/451486588 -133714014504561358979/225743294 4741530882593276495151/902973176 -713211227749320165861/451486588 -515251377824254563525/112871647 30202763681494019148315/902973176 5422982312444673391143/902973176 -2977776179617564339899/112871647 3619152704228565805745/902973176 -3271522317704534392223/225743294 -327460692132990240429/47524904 -62705856044809537615201/902973176 12755652565560539096223/451486588 2950499593993311815573/902973176 179254379725463823387/451486588 -6765311749438439785751/451486588 -237538621470975112690/16124521 -6141831389320828400643/902973176 3297470249987699331389/902973176 12305696348767607928/112871647 1636681760033871649297/225743294 -373568429797176720551/47524904 31198405527237980791587/902973176 -36469110832987017693957/902973176 1106898896229209315775/23762452 3358446910732686671109/451486588 -1834165532181747422165/225743294 -18059284144800200026157/902973176 784110349898170892279/47524904 5019318310422301071853/451486588 -8742152346413540108547/225743294 3559054862610811155159/225743294 381699641354370054827/5940613 -1166460370130027480187/32249042 17829245361944219173465/451486588 -10091545327377691642203/902973176 -81849777075901460431/1697318 36459377495883444207325/902973176 -10287324611545941929121/451486588 -6761832187571860577833/225743294 -1036478539628371508029/225743294 -1028704103673793791579/451486588 52986542931596084480175/902973176 147485800283681379363/47524904 -10717635171777183244671/451486588 65276108832811273108283/902973176 -80040974830091744002523/902973176 12274742616904971728799/902973176 76346808733966190732233/902973176 29530928559178255907/11881226 -90351360391656629757/32249042 11026393473997139911903/451486588 13268328450495780687873/902973176 -19929749084430182341133/451486588 51065173377559727441/23762452 -108253785762099206832595/902973176] [-24417352701567382645279/451486588 -1952145380446802990153/451486588 34611770662179978965139/902973176 -5206230658370865295951/451486588 -3761182403787668808702/112871647 220471226654998916217753/902973176 39586164205418880949215/902973176 -86947535523257476529887/451486588 26418742488850428040621/902973176 -23881143660222958168455/225743294 -2390366035280816948869/47524904 -457734171165330268419517/902973176 93112484591509614159823/451486588 21537772887031995027349/902973176 1308503864020204932547/451486588 -49384771401437083828939/451486588 -3467923121600459448427/32249042 -44833549492075590862689/902973176 24070555878259192417693/902973176 89827937519079613583/112871647 5973645972994864558840/112871647 -2726938859817727430271/47524904 227739117148568850219187/902973176 -266213704320453297639883/902973176 8080033999810632716973/23762452 24515667436042733732083/451486588 -6694432486921409726162/112871647 -131827423804765717619065/902973176 5723773244660256574443/47524904 36639536584816662258645/451486588 -63815122077705565770647/225743294 51960092100645945560549/451486588 5572588590277524236993/11881226 -4257407556457965691652/16124521 130148208843861945822531/451486588 -73665291051984114039211/902973176 -42677080206638717320/121237 266142653843301398218667/902973176 -75094421822572083105277/451486588 -49359371630705453599335/225743294 -7565986260171366366259/225743294 -1877308795262288450340/112871647 386786064994922577666915/902973176 1076602646223071472747/47524904 -78235561423481831121955/451486588 476496255024933935019765/902973176 -584275402395208008796391/902973176 89601984446258685402835/902973176 557309084369849099732729/902973176 431134058615477264883/23762452 -659538162320788835041/32249042 80489405553386532072397/451486588 96854866660254176219369/902973176 -72740631849246438525269/225743294 372760636497631559729/23762452 -790220563545356156208603/902973176] [-64102465647925871086385/902973176 -5124934456216408589823/902973176 45432849887610052431913/902973176 -13667829842666904410537/902973176 -19748337895688859137871/451486588 289399702861747015824847/902973176 25981222884044669926275/451486588 -228261903621257239374519/902973176 34678340308862133277475/902973176 -62694765064124055524339/451486588 -1568846943967861278835/23762452 -600840913051231528997679/902973176 122223320395768025052921/451486588 14135688289983810386547/451486588 1717596600636976114715/451486588 -129649010315851639106553/902973176 -4552140141665962425625/32249042 -58850381966384844071051/902973176 31596012888275952818383/902973176 471647549136020806429/451486588 62730049478655267366737/902973176 -1789746688778421054771/23762452 298939838239875933523981/902973176 -349443181756422182739113/902973176 21212377452928612673547/47524904 32180284833949830923869/451486588 -70299124359651368028951/902973176 -86521079999769462165605/451486588 7513262847876200462351/47524904 48094579784920022604283/451486588 -167532767405277637405547/451486588 136409956462271182400741/902973176 29259246327334954617401/47524904 -11176900500747098236435/32249042 85418976296488563845397/225743294 -96696125227390798030925/902973176 -56019710681498851916/121237 349349917944685813061813/902973176 -24643015430800948078398/112871647 -129582328724661639347023/451486588 -19862856562012678031173/451486588 -19713868907848555961985/902973176 507711477723830645785133/902973176 706596707979229684461/23762452 -102695252222674488667753/451486588 625468804755817256644923/902973176 -383472098395854225057743/451486588 117615291881817971955209/902973176 182886771514147690797777/225743294 1131848997711958329441/47524904 -432868613055574434295/16124521 105653741778828527494505/451486588 63567863383944986754061/451486588 -381929516382456182634069/902973176 244650558437225172999/11881226 -259319095460844088832815/225743294] [-2794238365861208955672/112871647 -223396843402779276079/112871647 15843410819625021625189/902973176 -1191566475280393997765/225743294 -1721667422691751325698/112871647 100919893752174098591793/902973176 18120421182753516503367/902973176 -19899957423359347102593/225743294 12093082283308386437395/902973176 -5465752872690045260852/112871647 -1094181267866011580237/47524904 -209526134641737984364167/902973176 42621897626036638493597/451486588 9858836386024976617847/902973176 598962834900363261319/451486588 -5651424404019217721524/112871647 -1587429064021539439469/32249042 -20522392513165977499901/902973176 11018208492081010987799/902973176 82236816549109147209/225743294 10937657962072391670679/451486588 -1248246241366148057345/47524904 104246743915534196494233/902973176 -121858344796321382566255/902973176 924651467162723848913/5940613 11221956671836743399785/451486588 -12257407473283155295729/451486588 -60343518770447098532037/902973176 2620036167424946804209/47524904 16771613218512317343397/451486588 -14605568802730864653882/112871647 5946135300408103778471/112871647 5101663894993640401129/23762452 -1948812662659981619281/16124521 59574864293341821558237/451486588 -33720016253289019427029/902973176 -273493872721333222351/1697318 121825821701522655452431/902973176 -34374195611357908845621/451486588 -11297035482185202516538/112871647 -1731651202498533156388/112871647 -3437324807093256364627/451486588 177049899782123401084277/902973176 492810904708853965735/47524904 -35812040719737992136391/451486588 218114409576334473395653/902973176 -267449918188207115182615/902973176 41014979085913039888829/902973176 255106185215445064270873/902973176 49337507719887436818/5940613 -301901169947533989989/32249042 36843729587147267550233/451486588 44334959264455672294021/902973176 -66593513802862578387897/451486588 170629811432051168511/23762452 -361720558839973251966767/902973176] [-5017635534354261454105/64498084 -401155446656049206993/64498084 7112533963205885803957/128996168 -1069852586837157903795/64498084 -772902890460420798285/16124521 45305659245188543854277/128996168 8134745261436211960949/128996168 -17867254046669069804059/64498084 5428910443534754552003/128996168 -4907447440969385547657/32249042 -491207450100380491439/6789272 -94061926802569712030327/128996168 19134118144936417391119/64498084 4425897266163836082829/128996168 268890553582656256521/64498084 -10148306692719699642545/64498084 -4988477722633701097561/32249042 -9213054904524061899561/128996168 4946370639871265429431/128996168 36918322537458407541/32249042 2455104668396528053055/32249042 -560371367456008015387/6789272 46799171914069779927497/128996168 -54705494033537928479883/128996168 1660403820666353606419/3394636 5037838687058138135513/64498084 -2751340224246038713241/32249042 -27089831324863950235543/128996168 1176204823430752390077/6789272 7529229027291226296413/64498084 -6556833332421344323279/16124521 10677521338166431864965/64498084 572568592317519551529/848659 -6124121558312268249741/16124521 26744761621336699527879/64498084 -15137823766098024169453/128996168 -859451374722126801155/1697318 54690893540059109174503/128996168 -15431502504550326244787/64498084 -10143087175528553537153/32249042 -111054982599188210786/2303503 -385776928203157419857/16124521 79482470013508282274565/128996168 221236092220676966605/6789272 -16076989911499224999167/64498084 97917434802273531608913/128996168 -120065473793936097934701/128996168 18412729119375234095533/128996168 114524039502984003845167/128996168 88595745780435544953/3394636 -474360491077679264215/16124521 16540142839391409923847/64498084 2843308238140462298961/18428024 -7473905619889979125055/16124521 76600319385933369249/3394636 -162386104181069199510025/128996168] [-16393443636830572494723/451486588 -1310641069750527759473/451486588 11618911322129720192903/451486588 -3495385019886536474875/451486588 -2525201339307101182502/112871647 74010534063334715682895/451486588 6644388927328261825501/225743294 -58375268620760160571423/451486588 8868573330619711902261/451486588 -16033440945126942686227/225743294 -401213957853169485765/11881226 -153657921629819394062733/451486588 31257161386258371405523/225743294 3615034256598106734047/225743294 439254914436616485353/225743294 -33156193318010910925535/451486588 -1164155732311826230243/16124521 -15050285664060043613557/451486588 8080304730825600415165/451486588 120618254462608557365/225743294 16042464514735952614831/451486588 -228853220934120621206/5940613 76450310287670143055155/451486588 -89365940085083182116887/451486588 5424813393102499020181/23762452 8229725335995440957229/225743294 -17978165445899196876577/451486588 -22126737778920801990325/225743294 1921427667101569310189/23762452 12299617104769697319065/225743294 -21422256944569885690305/112871647 34885224931112012979363/451486588 7482704458792192724083/23762452 -2858359449070417204390/16124521 21844887856939462201442/112871647 -24728884650420850481703/451486588 -200569251815323363976/848659 89342088973809858064373/451486588 -25208633110945187473989/225743294 -33139140293673361893733/225743294 -5079689466302959095669/225743294 -5041587644688988005955/451486588 129841175525935303851751/451486588 180703709118600027501/11881226 -26263090070966647650685/225743294 159956212194344054183953/451486588 -98068431031607159408613/225743294 30078712867051230931091/451486588 46771117934932322204250/112871647 289456927465241335943/23762452 -442804010020763209465/32249042 13509844304464115611435/112871647 16256725462355862040111/225743294 -97673934017549674007579/451486588 62566472286538744214/5940613 -132635552546137662748235/225743294] [-24675667942231261591007/902973176 -1972797451534232184973/902973176 8744483587053601747921/451486588 -5261308239544910851719/902973176 -7601945157639534521909/451486588 55700907119693261706027/451486588 20002476414587868776423/902973176 -87867367981687394529505/902973176 6674557691345748016725/451486588 -24133786256139068270365/451486588 -1207827057828238682505/47524904 -115644154298135174821255/451486588 23524384268208756957639/225743294 10882812286638409541737/902973176 330586686078655186955/225743294 -49907221122568670052487/902973176 -1752305428923636392087/32249042 -11326962769668291539727/451486588 6081300574393517255227/451486588 181556484459921907037/451486588 24147368674345435744557/902973176 -1377893800078302635563/47524904 57537101799064791296171/451486588 -67257505858335591231147/451486588 8165514025132945724693/47524904 6193755691164000324093/225743294 -27061016012330766088291/902973176 -66611024037781523634297/902973176 361520374690325253117/5940613 9256788086061985842669/225743294 -64490232881852939062137/451486588 52509786568344451191539/902973176 11263083866051416404969/47524904 -4302447380020844193551/32249042 65762534209966988205759/451486588 -18611152108536092955987/451486588 -150949988509355659892/848659 67239555325340361983897/451486588 -37944429108580086122747/451486588 -49881552643432081270169/451486588 -7646028088847190946325/451486588 -7588676630607441407825/902973176 97719484797838306058595/451486588 543996102456679806263/47524904 -19765807114257255985653/225743294 120384297065477376274495/451486588 -295228274590805784258519/902973176 22637474690478271540309/451486588 281602474993463645250379/902973176 435695097622048965615/47524904 -333257763189295458881/32249042 10167614547417110885139/112871647 48939755212368178537465/902973176 -147020334215419136100681/902973176 188352066675093340647/23762452 -399290219244702996348885/902973176] [-58169622297000992310521/902973176 -4650608968028427849989/902973176 41227926119939161108405/902973176 -12402838042679044045269/902973176 -17920579883699816363323/451486588 262615037318410212922909/902973176 23576595793986846770245/451486588 -207135694145840574516169/902973176 31468773272040895172555/902973176 -56892207919264742275185/451486588 -1423646239657041493673/23762452 -545231585392320529546147/902973176 110911246727327709163217/451486588 12827395021787580094565/451486588 1558628743961595665617/451486588 -117649670492778361703929/902973176 -4130828198373575174617/32249042 -53403632082124272979721/902973176 28671722955194183973439/902973176 427995390087438822961/451486588 56924226673075311974521/902973176 -1624101161183928792625/23762452 271272209331979288717761/902973176 -317101342227248139087923/902973176 19249118922123762373531/47524904 29201919072536485664155/451486588 -63792764763069062967191/902973176 -78513337879352047388183/451486588 6817891599980737746731/47524904 43643306265120362628269/451486588 -152027191213847978505809/451486588 123784874181627971223627/902973176 26551229977704585097577/47524904 -10142450434754183397749/32249042 38756618313666974169181/112871647 -87746657249569193747153/902973176 -711689250956247539643/1697318 317016710214301679043075/902973176 -44724485567903891695599/225743294 -117589160449451182297271/451486588 -18024499561338903412035/451486588 -17889301086801667290515/902973176 460721511981389802166913/902973176 641199417276778895907/23762452 -93190550053069961911513/451486588 567580104188704489108505/902973176 -347980797613001581054641/451486588 106729702765158440796133/902973176 165960143881612682422833/225743294 1027093545133769424839/47524904 -785611082854936889409/32249042 95875224009237153762977/451486588 57684498808215738280299/451486588 -346580985418968507380151/902973176 111003769006384012611/5940613 -117659232643302758420008/112871647] [-49605852458146212944363/902973176 -3965943274148686900611/902973176 35158323872536076257291/902973176 -10576884114290642940355/902973176 -15282300392744069106267/451486588 223952679768031109738793/902973176 20105633941552407243265/451486588 -176641041782111727129795/902973176 26835919889618974248425/902973176 -48516499860559046294903/451486588 -1214056109156877355213/23762452 -464962234796683949265429/902973176 94582820445587175511991/451486588 5469468768631970978699/225743294 1329166400895810763333/451486588 -100329209057201627019983/902973176 -503240709907284873453/4607006 -45541514439772534996193/902973176 24450653149754776935589/902973176 364985628840183062209/451486588 48543804792492858472951/902973176 -346249981508590239070/5940613 231335337255770849510551/902973176 -270417475232875208016731/902973176 16415251045035760355957/47524904 24902793447940964940399/451486588 -54401152212692888285013/902973176 -66954552927199465007259/451486588 5814157139571387871009/47524904 37218110173028543410983/451486588 -129645648694014182462193/451486588 105561184046412901977629/902973176 22642340535262961249855/47524904 -4324636124175207825636/16124521 33050843617796308059801/112871647 -74828536980926451369063/902973176 -303456946984544375476/848659 270345302800224811990631/902973176 -19070058775869886009144/112871647 -100277607342028274938683/451486588 -15370920947475282589723/451486588 -15255626480783113378105/902973176 392893789664869455261651/902973176 546801619705941680047/23762452 -79470976325462744267013/451486588 484020590039410380893333/902973176 -296750837000853654332065/451486588 91016886120355099524607/902973176 70763691478777577783620/112871647 875884161676000450049/47524904 -95707557918441944319/4607006 81760410825963362553563/451486588 49192149166661492756069/451486588 -295557106073536602889641/902973176 94661721534205944102/5940613 -200674726923343821589677/225743294] [-72177361727480632685541/902973176 -5770515132875095783527/902973176 51155961124164036230033/902973176 -15389546854594557870669/902973176 -22236007826007409744955/451486588 325854970259690623535239/902973176 29254040437751343974245/451486588 -257015729734381933835559/902973176 39046721327830886460739/902973176 -70592335110890035459967/451486588 -1766472353680592753533/23762452 -676527985056869144308663/902973176 137619617569648582839479/451486588 15916340762566219058521/451486588 1933959792232711018673/451486588 -145980711047421050666477/902973176 -5125566736290427333173/32249042 -66263680562895909188407/902973176 35576117522665234304527/902973176 531060317536431251057/451486588 70632064252744646046677/902973176 -2015198523969738499229/23762452 336596862871096140514997/902973176 -393462040467567399498589/902973176 23884470356085635018463/47524904 36233989371179631214861/451486588 -79154604690246986650083/902973176 -97420016922511067591027/451486588 8459697842252147506151/47524904 54152985336527122997747/451486588 -188636630931338966371745/451486588 153593323927404978272029/902973176 32944991814208749325933/47524904 -12584838699735490239645/32249042 48089541394592445665418/112871647 -108876798070698815361893/902973176 -441535035602913732539/848659 393357028346618498293933/902973176 -27747260902161002321956/112871647 -145905629671388899633495/451486588 -22364952245231674381449/451486588 -22197196828979382194441/902973176 571667167720753036910941/902973176 795605686486002450147/23762452 -115631626528716537914333/451486588 704258217118616007686239/902973176 -431777531153502175948525/451486588 132431122282608924284537/902973176 102962378508562451589083/112871647 1274426400030136635493/47524904 -487396454242246428242/16124521 118962792790468117818419/451486588 71575416379549671894091/451486588 -430040632286197106861045/902973176 137734419999840634301/5940613 -145992575845060586892496/112871647] [-27833591474590291703263/902973176 -2225270596794559058053/902973176 19727156678239977940335/902973176 -5934635873047745067763/902973176 -8574821010938242839543/451486588 125658709394470030032627/902973176 11281168929391543633191/451486588 -99112389989822600485221/902973176 15057498138605804217029/902973176 -27222361273504635350425/451486588 -681200707074098636359/23762452 -260887944731170612203525/902973176 53069939419309088656963/451486588 3068891103475896461669/225743294 745788506215217649377/451486588 -56294208838020637823303/902973176 -988280308390231413224/16124521 -25553112087334330435427/902973176 13719137104464810646669/902973176 204791579698955340117/451486588 27237681931914839447171/902973176 -194279103287784562949/5940613 129801080956049634167095/902973176 -151729869768340026571637/902973176 9210513858740003548037/47524904 13972830725788261052591/451486588 -30524209773689190896109/902973176 -37567859056787967383015/451486588 3262293995016824076441/47524904 20882892293533400317155/451486588 -72743513988638033566797/451486588 59229843389968208071351/902973176 12704502095167046683507/47524904 -4853062660624903749299/32249042 37089320455664816569701/225743294 -41985911455218737987651/902973176 -48648042657125051939/242474 151689374183514769191465/902973176 -10700112971787627275623/112871647 -56265255378128977823669/451486588 -8624545553394596266439/451486588 -8559854414623663714175/902973176 220450706772196922525339/902973176 306807607295498162199/23762452 -44590760555845061340421/451486588 271581490910047156806195/902973176 -166505385101352758834587/451486588 51069111808948769137551/902973176 79410294642796565551237/225743294 491454147587205486903/47524904 -375907167257329780067/32249042 45875350607967163314537/451486588 27601464662203432932287/451486588 -165835588750416205853439/902973176 53114210418772742432/5940613 -112597568465776966185219/225743294] [-28862816870213679742929/902973176 -2307556241191117883245/902973176 20456623827861063164625/902973176 -6154085740302568085753/902973176 -8891899155720170632187/451486588 130305293900393979826653/902973176 11698321906758894103495/451486588 -102777349608546957055081/902973176 15614291518754052560575/902973176 -28228984711845473706929/451486588 -706390020780799600703/23762452 -270535010880519094056079/902973176 55032349819864596901657/451486588 6364743981754085942489/451486588 773366135608122580289/451486588 -58375845676568833281485/902973176 -292807072793384562235/4607006 -26498010338122768839057/902973176 14226440817924148538411/902973176 212364324841686322909/451486588 28244871894727921313233/902973176 -805852480090282060853/23762452 134600841311133693700313/902973176 -157340508818739983657195/902973176 9551098536028623450851/47524904 14489515475036345952623/451486588 -31652928354943354755475/902973176 -38957036397978763019409/451486588 3382926498757006220419/47524904 21655096020896244843031/451486588 -75433410189505190607629/451486588 61420033579811776276051/902973176 13174286822985356445585/47524904 -5032518313749172409937/32249042 19230401242502311375786/112871647 -43538458720546051470461/902973176 -353128586841602608235/1697318 157298515795671170539387/902973176 -22191559538929288825553/225743294 -58345821580994856874317/451486588 -8943462403107057287247/451486588 -8876379127376361166891/902973176 228602492218217664204333/902973176 318152682230868593665/23762452 -46239629449251554447549/451486588 281623981031418573553113/902973176 -172662390423889137705321/451486588 52957535976332394393121/902973176 41173356912584466227409/112871647 509627048125112647119/47524904 -55686770419394697875/4607006 47571720834639017614421/451486588 28622106515507600180933/451486588 -171967826467417714829959/902973176 55078257864157141771/5940613 -116761180519083471022865/225743294] [-11765785244678690911389/225743294 -470331972377426154938/112871647 33356168092959780186647/902973176 -2508682763825013318267/225743294 -7249477856162507818095/225743294 212473246969733541747609/902973176 38150106802662830367445/902973176 -20948340367280214097424/112871647 25460356358642471790305/902973176 -11507406684815149905497/112871647 -2303651322977581078087/47524904 -441129062835430306494657/902973176 89734666218081508486453/451486588 20756452473344627635683/902973176 1261035595796141784695/451486588 -23796626185014829864365/225743294 -3342118139710358146275/32249042 -43207134002415735029781/902973176 23197354327888261295441/902973176 173138543681029180375/225743294 23027766033452271396133/451486588 -2628014379128418293813/47524904 219477482013092319124655/902973176 -256556336184945524406207/902973176 3893458311120336076231/11881226 23626318684738323464943/451486588 -25806320918995489131515/451486588 -127045153240264395111699/902973176 5516133350654881211763/47524904 35310373257116429618077/451486588 -30750058407480156155557/112871647 12518787200683710416563/112871647 10740866368522155250047/23762452 -4102962644688463798829/16124521 125426854741560766206693/451486588 -70992953666821397730087/902973176 -575804521813384444309/1697318 256487863188228491012751/902973176 -72370240216989715864023/451486588 -23784387010221969048695/112871647 -3645758432102631921252/112871647 -7236824529821827694505/451486588 372754723412133159040903/902973176 1037547000621341598537/47524904 -75397429480261931255881/451486588 459210519259704032895269/902973176 -563079789390025508000181/902973176 86351515610784960994231/902973176 537091721756002396509959/902973176 103873478983053281603/5940613 -635612260950634592309/32249042 77569511468965077864543/451486588 93341286826184770350667/902973176 -140203676190585804154039/451486588 359238091885320920625/23762452 -761553929309203565645645/902973176] [-65238332647007997951127/902973176 -5215746000864837302351/902973176 46237899651920845908003/902973176 -13910017669772701804687/902973176 -20098269603864440600781/451486588 294527736061442126671723/902973176 26441598524380666705851/451486588 -232306602383628378690515/902973176 35292824977144953803113/902973176 -63805688238947033307795/451486588 -1596646209600653060817/23762452 -611487545094712786364733/902973176 124389062926145961915511/451486588 14386166359362627531237/451486588 1748031643605712410535/451486588 -131946332747882615479555/902973176 -4632802027442954737823/32249042 -59893184393457640066279/902973176 32155880094312763056649/902973176 480004932598231214831/451486588 63841597877510016192939/902973176 -1821460199014767213425/23762452 304236918368316526477603/902973176 -355635158526730054723309/902973176 21588251286755742623285/47524904 32750505077344509593585/451486588 -71544793377487571528273/902973176 -88054194810616408347901/451486588 7646394502611611798761/47524904 48946794211623519383317/451486588 -170501373056201400196159/451486588 138827079833822970387409/902973176 29777707075846145819439/47524904 -11374950174850955419679/32249042 43466281161507332293358/112871647 -98409537285332357047911/902973176 -114024709760818166607/242474 355540242121995907036813/902973176 -50159357268091718850967/225743294 -131878469588742759545207/451486588 -20214817489696836041461/451486588 -20063189840987242960929/902973176 516707897857952165718631/902973176 719117285372612697289/23762452 -104514966125768861091591/451486588 636551832016884845637599/902973176 -390267052337704466397839/451486588 119699382209477343066387/902973176 186127443245444204269035/225743294 1151904855336931978661/47524904 -881077702254704587179/32249042 107525878792640868916371/451486588 64694257470197597235633/451486588 -388697136461486447775637/902973176 124492828413694464425/5940613 -263914113761444923024075/225743294] [-11356655412498343749343/451486588 -907954382762019552761/451486588 4024534901786960475435/225743294 -2421448725738099954277/451486588 -3498696441455513717889/225743294 25635618448216580079553/225743294 9205879758510001338085/451486588 -40439813929550656858913/451486588 1535939207581167959963/112871647 -11107261410370403520941/225743294 -555886702875069261693/23762452 -26611859381240961438837/112871647 10826792067014905333874/112871647 5008672889730828788681/451486588 152148224985955717338/112871647 -22969149779907568465063/451486588 -806475795521519367190/16124521 -5213087376052957582813/225743294 2798839538808205378505/225743294 83559011928086182361/225743294 11113512541792641784365/451486588 -634157710305611714687/23762452 13240351590392067769274/112871647 -30954392793962063583545/225743294 3758071686912631478669/23762452 5701191089005171869059/225743294 -12454480854727720860203/451486588 -30656857939640553290125/451486588 332770106127796902781/5940613 8520632776064232239603/225743294 -29680791378194687144457/225743294 24166946695692746344955/451486588 5183687941022317431601/23762452 -282877925618835266075/2303503 30266351525870732470767/225743294 -8565540832412651784345/225743294 -138945540038444693725/848659 30946131294489168444913/225743294 -17463430259272106425857/225743294 -11478668098024137545293/112871647 -3518985037511654700961/225743294 -3492589774365998370213/451486588 44974122626954303113953/225743294 250367134774478937505/23762452 -9096955789486535473276/112871647 55405307854245298078963/225743294 -135874975721165429846339/451486588 10418603462762773720291/225743294 129603878577654025976727/451486588 200523005099287807203/23762452 -153377553504990798329/16124521 9359024854155964804065/112871647 22523886170784214160965/451486588 -67664197711840242517153/451486588 86686590307051920571/11881226 -183768133051516023461865/451486588] [-927036509557238802924/112871647 -74115734893818492533/112871647 5256323313411893352985/902973176 -197661309007357117558/112871647 -1142385401081236792159/225743294 33481905907503125996877/902973176 6011760560660064113531/902973176 -6602152234210712179975/225743294 4012087489268753162871/902973176 -1813357273705312793328/112871647 -363013404932914110929/47524904 -69513889327558185909443/902973176 14140545663064126316803/451486588 3270838087135774842143/902973176 198716194940389717735/451486588 -1874956989187859392010/112871647 -263328411179886216468/16124521 -6808655752354056180217/902973176 3655479670906815897655/902973176 27283474560425312081/225743294 3628755650832123113311/451486588 -414127102684484776957/47524904 34585645517173979777853/902973176 -40428596214476692835247/902973176 306768985476765520413/5940613 3723076624586732581411/451486588 -4066605189836857638633/451486588 -20019997470086584208345/902973176 869241942004032511333/47524904 5564270381400082273169/451486588 -9691295981334850198863/225743294 1972732384463790333173/112871647 1692564509861120367389/23762452 -646552030294093332046/16124521 19764983161994490883607/451486588 -11187193816955638172221/902973176 -12962326246060456919/242474 40417806119882833819675/902973176 -11404229040627535149013/451486588 -3747985307803677349034/112871647 -1149009981501768585499/225743294 -1140391467784002762127/451486588 58739341323475462813929/902973176 163498471195181889143/47524904 -11881258819776841808203/451486588 72363196858281208596805/902973176 -88731098129540891351251/902973176 13607422872689370853469/902973176 84635852974445479642933/902973176 16368564509632414732/5940613 -100160891869093338061/32249042 12223539298878500596943/451486588 14708883247049621513021/902973176 -22093540532978232082893/451486588 56609366884706997755/23762452 -120007000261317419118339/902973176] [-46963589889478479085691/902973176 -3754696759000669806985/902973176 16642805452686922220205/451486588 -10013504924064191484911/902973176 -14468286555869507670063/451486588 53005952352847490647929/225743294 38069409156740880450855/902973176 -167232232344049325021257/902973176 12703250458868052721517/451486588 -45932261808153856214017/451486588 -2298778486323406434049/47524904 -220097978635794081930341/451486588 22386213369402955449424/112871647 20712547043119230054699/902973176 314592042336255455208/112871647 -94985159907767289526475/902973176 -476435524129260240321/4607006 -10778934848966638023403/225743294 11574142869773293932033/451486588 345544619011133496445/451486588 45958112339124676574245/902973176 -2622455428141919136841/47524904 109506614315223480059125/451486588 -32001706392658287425820/112871647 15540890435505330130425/47524904 11788171361214428928017/225743294 -51503467341633135714979/902973176 -126776418873535086259925/902973176 688058157266317130283/5940613 8808920601164421704635/112871647 -122740055346458254132189/451486588 99938453028023544343175/902973176 21436293145716936472985/47524904 -8188567569858777949493/32249042 125161543507560040218561/451486588 -35421392322276039470239/451486588 -287293270876047076430/848659 63986330745797354790839/225743294 -72217157866511837446055/451486588 -94936306765066069404697/451486588 -14552186724538164050945/451486588 -14443033433505384258885/902973176 185983123901682144018787/451486588 1035352312126445238419/47524904 -37618971908753018045559/225743294 114559791648844775187265/225743294 -561888725529962085641207/902973176 43084429567864552773273/451486588 535955629586867947649855/902973176 829230071075763928171/47524904 -90609681653939802923/4607006 19351357818442566351251/112871647 93143845121675635499157/902973176 -279814216080046767196957/902973176 358478207555477102323/23762452 -759943039734082172522693/902973176] [-18885641674462430661985/451486588 -377472515163410190996/112871647 13385265520668903129797/451486588 -4026767679949084509189/451486588 -2909092726733980505108/112871647 42630958370317448108087/225743294 7654495980659406382835/225743294 -33624857297991160788075/225743294 10216809951356801024447/451486588 -9235454954016826803998/112871647 -231104068512618497213/5940613 -177017624400997698231665/451486588 18004501152384102828302/112871647 2082303240352649455490/112871647 506032234689191898813/225743294 -38196732801542321952815/451486588 -1341135425891712458041/16124521 -8669145679409199600251/225743294 9308705550064429267145/451486588 69477566265133455795/112871647 18481305277428098152893/451486588 -263644419217586263196/5940613 88072597678662449472719/451486588 -51475857048014989280147/225743294 6249515608958761135441/23762452 9480841683907746660603/225743294 -20711279344179632462255/451486588 -25490534531661625194921/225743294 2213530922981433563209/23762452 7084727483733199782178/112871647 -49357911306014221821753/225743294 10047154709792307619810/112871647 8620255651909664817981/23762452 -470414126942088288786/2303503 50331673274320399852085/225743294 -28488270363630476595905/451486588 -462121211944649772253/1697318 51462118520863267431269/225743294 -29040952138128284711853/225743294 -19088543653511836404525/112871647 -5851924537844330425827/225743294 -1452007580549980053136/112871647 149580159598968167826989/451486588 208175022604310338795/11881226 -30255711937793884416325/225743294 92136703368405569276903/225743294 -56488596571578534107300/112871647 34651401244332649246733/451486588 53881453683634383598272/112871647 83365336981694875988/5940613 -255060439115979603213/16124521 15563665832764234957777/112871647 18728139046539910313881/225743294 -56261361543533415038325/225743294 144156164209948351527/11881226 -152799349189392619395981/225743294] [-25389245190520912331577/902973176 -2029847310536871074191/902973176 2249339697469947627332/112871647 -5413456090811376242049/902973176 -7821780143259228060715/451486588 57311680133933796991845/451486588 20580913120427685809935/902973176 -90408338901121414449323/902973176 3433787125045320539121/225743294 -24831693231860349343597/451486588 -1242755308214525570393/47524904 -59494190698294234865121/225743294 12102334201040833332057/112871647 11197524223244553223851/902973176 340146676038110009575/225743294 -51350450849998398805765/902973176 -1802979043476307480429/32249042 -11654518763029149389521/451486588 3128580586389861644185/225743294 186806781104060443673/451486588 24845668429895336109911/902973176 -1417740083818101476757/47524904 14800243589640451166337/112871647 -69202475537356077808817/451486588 8401646438754570823119/47524904 6372868295249358029493/225743294 -27843573363451079763873/902973176 -68537298590912598904033/902973176 1487899651733066389217/23762452 9524478240829765179509/225743294 -66355177856356648080811/451486588 54028277945981627175841/902973176 11588792593013047562363/47524904 -2213433324406817754155/16124521 67664271918221201674527/451486588 -9574677071922338590519/225743294 -44375771060239909867/242474 69184005906277075287991/451486588 -39041715770672085408727/451486588 -51324040083247005386043/451486588 -7867137875895486627485/451486588 -7808127913584108349035/902973176 25136340434958703908168/112871647 559727520255822315483/47524904 -20337399757011164290363/225743294 123865600819376364895271/451486588 -303765761004263284903895/902973176 11646055473682024894815/225743294 289745927064865110922291/902973176 448294639388556737661/47524904 -171447498018416081166/16124521 10461644213702125463578/112871647 50355007514278039894437/902973176 -151271905673491163773967/902973176 193798879696025251343/23762452 -410836995469145576505737/902973176] [-15590503480653853150239/225743294 -623223363330545508324/112871647 22099649277117239283341/451486588 -1662091672927449684778/112871647 -4803037255866140958350/112871647 35192773235488273977473/112871647 25275804399167980891363/451486588 -55516086112095520341079/225743294 16868392809040315026951/451486588 -15248133485527355561227/112871647 -1526251041567251253217/23762452 -292263714088432037692373/451486588 29726206048190396989284/112871647 6875944482287389124509/225743294 417740495781683718276/112871647 -31532224636947567745661/225743294 -2214272290643585798314/16124521 -14313132507632639435999/225743294 15369073371216928733897/451486588 229420902366836375507/225743294 15256715086593580259047/225743294 -870576558915617621971/11881226 145411648100487228748527/451486588 -84988854740574903146471/225743294 5159109578237069899957/11881226 15653277534367821366897/225743294 -17097606651134105502739/225743294 -84171938489543228312383/451486588 3654634791249123525853/23762452 11697189896807747618087/112871647 -40746017597843774608635/112871647 33176569411564979278537/225743294 7116206484366082964285/11881226 -5436717742399595601149/16124521 83099758101575089009589/225743294 -47035360081259223803509/451486588 -381491001867804275465/848659 84966171841145495001653/225743294 -47947861470148236648379/225743294 -31516006858597869859925/112871647 -9661779191665496556749/225743294 -4794653976541706682681/225743294 246963279200397586914585/451486588 687411838145081174365/23762452 -49953482164567592412315/225743294 152121661452838639623393/225743294 -373060413470548074719859/451486588 57210954334669528163705/451486588 355842393148148609547207/451486588 137639758159395415909/5940613 -842231517966810044943/32249042 51392563836590057559089/225743294 61841926692078956066683/451486588 -46444964279761557289498/112871647 119004014722573933426/5940613 -504556599440336416248159/451486588] [-49399500158704641427267/902973176 -3949445593461281907789/902973176 35012070948413251890901/902973176 -10532885992097531396791/902973176 -15218728502119725103013/451486588 223021072948549482477601/902973176 10010998882889527323949/225743294 -175906243702022041965993/902973176 26724286816051352466839/902973176 -48314679091214779696989/451486588 -302251458170045186255/5940613 -463028067323506610074495/902973176 94189371255230412455297/451486588 10893433331562622212713/451486588 1323637284278228410063/451486588 -99911855822367173850883/902973176 -250573655093483569606/2303503 -45352069127193183049861/902973176 24348942398899971903759/902973176 363467347829715928957/451486588 48341870439060703836323/902973176 -1379238551009021545459/23762452 230373019778713019361021/902973176 -269292582401519409187851/902973176 16346966263478755069841/47524904 24799201866789762075969/451486588 -54174852244139616766309/902973176 -16669008212003767306312/112871647 5789971189010850364007/47524904 37063288872022803942441/451486588 -129106343825840626757991/451486588 105122066644325363114127/902973176 22548152071550290827099/47524904 -8613292678833922550493/32249042 32913357469669372638878/112871647 -74517262405353132365513/902973176 -604389230620362756967/1697318 269220710194482480613499/902973176 -18990730424800847356768/112871647 -99860468761958653845401/451486588 -15306980409718737134959/451486588 -15192165549304976646427/902973176 391259415232900506157601/902973176 272263506833518376369/11881226 -79140389955286665176699/451486588 482007142899964106255221/902973176 -147758200828096778772849/225743294 90638270638345831665541/902973176 281877304004465979018331/451486588 872240625644491882215/47524904 -47654715001319302657/2303503 81420300779644814328281/451486588 12246879451451130368782/112871647 -294327636455893392005947/902973176 188535888256242689181/11881226 -399679905223353349622767/451486588] [-28243804475937330396841/902973176 -2258066757187867574721/902973176 20017896597894688223529/902973176 -6022100862810985392689/902973176 -8701197194411342378855/451486588 127510674361805912964121/902973176 11447431417272669051629/451486588 -100573113842347754876845/902973176 15279416373981654523975/902973176 -27623565930544568784983/451486588 -691240280545026758929/23762452 -264732925603334350108687/902973176 53852087104072328989749/451486588 6228241178551504062933/451486588 756779978220560113237/451486588 -57123875982735586221537/902973176 -2005691275815056261505/32249042 -25929715258099312574701/902973176 13921330501341659176127/902973176 207809809259642850989/451486588 27639112385661338287941/902973176 -788569597571304713201/23762452 131714096423194104172425/902973176 -153966072930568315285863/902973176 9346258918352258981219/47524904 14178763073202470594825/451486588 -30974077255448391329547/902973176 -38121536228918608774409/451486588 3310373863265024677783/47524904 21190665508224487082859/451486588 -73815611896988506213353/451486588 60102776078101682035751/902973176 12891741745495127435157/47524904 -2462293682460880583146/16124521 18817972449791490021112/112871647 -42604702126486532585445/902973176 -345555141290141892819/1697318 153924980519586226139983/902973176 -21715623650041796858781/225743294 -57094495805160964501331/451486588 -8751654579907923590663/451486588 -8686010019578007842871/902973176 223699721408220326307509/902973176 311329354679083506929/23762452 -45247941636362375955393/451486588 275584073853687670544149/902973176 -168959350620865303181919/451486588 51821771186391489378453/902973176 80580647930945145830115/225743294 498697225832768559323/47524904 -381447307754471271811/32249042 46551464047294879166521/451486588 28008256565827542883393/451486588 -168279682774486591632819/902973176 53897010571959151021/5940613 -57128518810024625058815/112871647] [-9356027979278959270288/112871647 -1496012038840545518517/225743294 26524472057690080430491/451486588 -1994877999332593273650/112871647 -5764708113136339272943/112871647 168956478650342619818551/451486588 30336561413920570294909/451486588 -66631594753736825293629/225743294 20245806080950322490039/451486588 -36602272325432645744741/225743294 -1831839166198376412037/23762452 -350781164922927754031335/451486588 71356057448637802738195/225743294 16505311464784103743359/451486588 1002762167741565497211/225743294 -37845650888475184085505/225743294 -2657616994949635455003/16124521 -34357855954738527790147/451486588 18446290801978473792951/451486588 137677938640122800652/112871647 18311435983986750268143/225743294 -2089769237645492173629/23762452 174526172272683070747487/451486588 -204010884925275276140337/451486588 6192073735405467340247/11881226 18787398721368421919589/225743294 -10260456720029364155214/112871647 -101024962093821118404195/451486588 4386370896026900807633/23762452 14039217667251706446359/112871647 -48904242401494328285180/112871647 39819228680621795872683/225743294 8541023329576679142441/11881226 -1864361427324831845907/4607006 99738108244474175008975/225743294 -56452845859891315820739/451486588 -457873665433239345218/848659 203956435922527292531221/451486588 -57548049556957929156671/225743294 -75652371927586660504917/225743294 -5798137087683379574266/112871647 -2877323160932649736295/112871647 296410613412274148393787/451486588 825046400708464669705/23762452 -59955238440382338843717/225743294 365159347823055542055615/451486588 -447755092800305771994711/451486588 68665811869466239398197/451486588 427089656294800365848003/451486588 330396367249704280275/11881226 -505432147005805196469/16124521 61682455063581090553889/225743294 74224004008796808121301/451486588 -55744240182785645990746/112871647 285662330988228020285/11881226 -605579629593290430273675/451486588] [-498171303816374978707/902973176 -39828347540446206853/902973176 88270169625448299577/225743294 -106219324705294325547/902973176 -153473897427592658929/451486588 281133155022783673048/112871647 403825330213613144657/902973176 -1773933794734175505437/902973176 33687772052198544615/112871647 -487231380864579808921/451486588 -24384538712046647399/47524904 -1167356426993650620947/225743294 237464153144877239171/112871647 219710558543730129699/902973176 6674137486912420971/225743294 -1007565245029821909803/902973176 -17688442765870489958/16124521 -57169352258825718729/112871647 61386979333977471351/225743294 3665401511753944293/451486588 487505593137212917165/902973176 -27817976498657041873/47524904 290400781532673284806/112871647 -339461524033801515439/112871647 164851657825639675977/47524904 62522144393657880033/112871647 -546328539556645679635/902973176 -1344794425469016234487/902973176 29194602040729160109/23762452 93441567636238548756/112871647 -1301978267554806522959/451486588 1060107831695137455315/902973176 227387772751702782105/47524904 -86861106492620407627/32249042 1327664462269097036129/451486588 -93934052090721089542/112871647 -3047494104834028541/848659 339370924253075554013/112871647 -766051227705352789091/451486588 -1007047030092255296377/451486588 -154363877442246136079/451486588 -153206022230426296029/902973176 493208970715388400869/112871647 10982610410614678865/47524904 -199523634459346247270/112871647 1215205245275178062065/225743294 -5960294765705839425481/902973176 228511347860331107443/225743294 5685206676222770411081/902973176 8796146688183232579/47524904 -3364031619799818187/16124521 205271598225794695500/112871647 988033301456854102655/902973176 -2968159230991779943485/902973176 3802595935877276291/23762452 -8061177091050237135735/902973176] [-39615028797390023071589/902973176 -3167185911113514809423/902973176 7019323041840787236593/225743294 -8446655949069992865629/902973176 -12204381945854481366687/451486588 44711921167712394663747/225743294 32112552375000457678559/902973176 -141064806071086747823843/902973176 2678881841937600174143/112871647 -38745076314256318651039/451486588 -1939080384375054634177/47524904 -92829229861085765568613/225743294 37766724791713516053541/225743294 17471580633240392832345/902973176 530733397762277821633/225743294 -80122491784085773879253/902973176 -1406600830241912858362/16124521 -4546158156264279436618/112871647 4881547643293641723763/225743294 291476015039453142363/451486588 38766881920072416204011/902973176 -2212110435982394013463/47524904 23092930554347176170255/112871647 -26994284791563550723755/112871647 13109151655324260998199/47524904 4971816986755721362651/112871647 -43444535366776306374709/902973176 -106939258611281532970041/902973176 2321580933530027026311/23762452 7430557248930195552730/112871647 -103534479339972851009613/451486588 84300725391495924937477/902973176 18082079591345741694895/47524904 -6907273077989415526439/32249042 105577068576876882291811/451486588 -7469720054370244610182/112871647 -484678927902856575615/1697318 26987080215752101495171/112871647 -60917080557090392575417/451486588 -80081282867571452463223/451486588 -12275153954674724137685/451486588 -12183080269981208447707/902973176 39220419619392872367751/112871647 873347028130893972311/47524904 -31732596656273191232451/225743294 48317105398800949642016/112871647 -473967984457361924856951/902973176 18171427291511715475015/225743294 452092732905919905082263/902973176 699477472285129734137/47524904 -267510810986069458504/16124521 32646763122252144192595/225743294 78569294116536301111281/902973176 -236030683642725376843243/902973176 302385838667083859699/23762452 -641032030862411413502897/902973176] [-31438325771092265510651/451486588 -2513465860657263246485/451486588 11141012448107273179187/225743294 -6703231815413510884785/451486588 -9685347886807295198703/225743294 141932795324844143840427/451486588 25484390988831789960137/451486588 -111948456500705109326729/451486588 8503798947600085995895/225743294 -30747935017875717150715/225743294 -1538846308356931825071/23762452 -73668899355809577088921/112871647 29971519227755843030743/112871647 6932687673824456258549/225743294 421187866397543099439/112871647 -63584883686004536715907/451486588 -2232545398727440891903/16124521 -28862501017888440068259/451486588 3873976360382709099340/112871647 231314180336212762463/225743294 30765239857985203187471/451486588 -438880461779635841017/5940613 36652911575043833902957/112871647 -171380437172011909613061/451486588 10403369449270482488765/23762452 7891227488602812756064/112871647 -34477406613028956807061/451486588 -84866560797805376921321/451486588 921198594421844090992/5940613 23587440074561768211015/225743294 -82164541812599912731881/225743294 66900712887323062998507/451486588 14349864838391825049871/23762452 -5481583828358427728459/16124521 83785532325435875956547/225743294 -23711757847175835209807/225743294 -384639226383642697092/848659 171334696995462622149565/451486588 -24171773714624417380055/112871647 -63552180457421988105693/225743294 -9741512265234266212559/225743294 -9668442963450786691709/451486588 124500662127970320979853/225743294 693084650323433078555/23762452 -25182859675424897928267/112871647 306754067020905322984215/451486588 -376139065218104130005933/451486588 28841541619876404663921/225743294 358778954535964515933815/451486588 555102477792194082517/23762452 -849181967387382882055/32249042 25908338465644846217946/112871647 62352272332645791334849/451486588 -187312990791577929183977/451486588 119986086002885267307/5940613 -508720413129805700187249/451486588] [-149059164765084018300/2752967 -47668584463820259127/11011868 845169693701323307055/22023736 -31782167501776519599/2752967 -183685337060062404271/5505934 5383590481996558070571/22023736 966637234565462688729/22023736 -2123133851876964451825/11011868 645107721162433706665/22023736 -291571602469364927620/2752967 -58369303020946910571/1159144 -11177210580074484404861/22023736 2273673047532509114859/11011868 525921458673950307195/22023736 31951783708347103999/11011868 -602952569607624906695/5505934 -42340849173391966744/393281 -1094770841445704593931/22023736 587768379069908635405/22023736 4386938257504728613/5505934 583471396081206005243/11011868 -66587927655858060321/1159144 5561061922052557454955/22023736 -6500556043076476335189/22023736 98651408611380118775/289786 598637363573087926413/11011868 -653873678951417645081/11011868 -3219036219959999484727/22023736 139766316124682406819/1159144 894684823119574075667/11011868 -779136781332899170488/2752967 1268790769302664236441/11011868 272149208310492767721/579572 -103959773557179823505/393281 3178032204071404929451/11011868 -1798800531833377912471/22023736 -2084225921774311481/5914 6498821092541971113317/22023736 -1833697851228725282723/11011868 -1205284913319873048609/5505934 -92375255118693715680/2752967 -45841182612719333986/2752967 9444759797767284576391/22023736 26289089270447487269/1159144 -1910399965670810933483/11011868 11635353702065846621315/22023736 -14267165574951582467613/22023736 2187951679462118453951/22023736 13608686846192187436511/22023736 10527674062696341101/579572 -16104974000710850489/786562 1965435599978996407223/11011868 2365056638901670097339/22023736 -1776221683071670120879/5505934 9102278991951686215/579572 -19296050414950042175389/22023736] [-28380001226397712087669/451486588 -2268955564852417658255/451486588 40228853055696420130031/902973176 -6051140525975008398785/451486588 -4371577973125160058166/112871647 256251107944746486905219/902973176 46010532035524289841575/902973176 -101058095647851185786701/451486588 30706192984849328732169/902973176 -27756771778187252702651/225743294 -2778294266456413938673/47524904 -532019031620997959373081/902973176 108223543280773319898833/451486588 25033099550903495402643/902973176 1520858617210167616741/451486588 -57399337678740123236909/451486588 -287909011872986064201/2303503 -52109506100847386536631/902973176 27976923366521205802293/902973176 104405952935007362587/112871647 6943098300282862627633/112871647 -3169488893076093526065/47524904 264698491395434399215315/902973176 -309417050547554983256337/902973176 9391328274880560055307/23762452 28494271283397375863521/451486588 -7780859969175630268341/112871647 -153221460777438348212909/902973176 6652674173504993313051/47524904 42585701485361891436815/451486588 -37085782086273275494590/112871647 60392602570933439980345/451486588 6476954031799461364185/11881226 -4948334618838362473227/16124521 151269729022064324166099/451486588 -85620299462850786344439/902973176 -694442941775598448415/1697318 309334469415467032319733/902973176 -87281361311679823491297/451486588 -57369815824617309354335/225743294 -4396928323208154991275/112871647 -2181973884025928539508/112871647 449556884117288930697271/902973176 1251322565291496388867/47524904 -90932270843751179008269/451486588 553825980533652515012915/902973176 -679096413079443114972187/902973176 104143330341837772942063/902973176 647753779503036278514585/902973176 501102034352117807685/23762452 -109510490254852533561/4607006 93551887308836633565033/451486588 112573269846086406613881/902973176 -84545578970894929057827/225743294 433255293899110955347/23762452 -918464046313356912961191/902973176] [-2191863020122029402521/47524904 -175237476461917067399/47524904 776745344823022820499/23762452 -467345686233099929649/47524904 -675257201184363907483/23762452 1236934687935621156716/5940613 1776757916609976283225/47524904 -7804985664639294014483/47524904 592880250033419872047/23762452 -2143729351286496572729/23762452 -2038463068563458530277/47524904 -10272311407852735829747/23762452 2089598063539377820077/11881226 966686448442101234165/47524904 14682494793182158787/5940613 -4433103601155033392877/47524904 -155651854231812313391/1697318 -251534739437026260738/5940613 540183061081301525595/23762452 16127099184630759945/23762452 2144935835352512396879/47524904 -2325486588214511993953/47524904 5110842227801641122971/23762452 -2987137780052252370867/11881226 13781028226010703130885/47524904 550172100180451163571/11881226 -2403746087976982853973/47524904 -5916850585876011372251/47524904 610141930140672611146/5940613 411125881950712151932/5940613 -5728467287844732461159/23762452 4664281414513440936785/47524904 19008831065898892076797/47524904 -382173051216536233419/1697318 5841481867149117009197/23762452 -1653170895477610373467/23762452 -72788560907688883419/242474 1493170267488771242957/5940613 -3370485904472646221009/23762452 -4430823549796990112281/23762452 -679172951183847198061/23762452 -674078599097441084231/47524904 8680118632460004488623/23762452 918108231731787025471/47524904 -877867658497269469896/5940613 5346681791126099984551/11881226 -26224211603307258345173/47524904 2010816637635504649085/23762452 25013874102943472409417/47524904 735327429453076547767/47524904 -14801126539174038803/848659 1806315304737654272903/11881226 4347166606186487740423/47524904 -13059360116499424313011/47524904 317883863684229807455/23762452 -35467711265518951823183/47524904] [-4656712794516000471581/128996168 -372299998324509199851/128996168 3300461709616056221563/128996168 -992897191368355091349/128996168 -1434614672302466831653/64498084 21023392554776544388065/128996168 471850387494483182320/16124521 -16582047450901414434467/128996168 2519202176961547450297/128996168 -4554450623269081421843/64498084 -56984310687344565201/1697318 -43647986688088816045413/128996168 1268413210725171080441/9214012 513442344642376071737/32249042 124774515069883157495/64498084 -9418330465634688741653/128996168 -2314826164345536693191/32249042 -4275176062184506061377/128996168 2295287021885185404029/128996168 34262756578282349977/64498084 4557013853605586563529/128996168 -32503961510436724526/848659 3102347725521568740345/18428024 -25385240941885094996515/128996168 1540969578763020906631/6789272 2337731358735529319063/64498084 -5106868020441777850823/128996168 -1571327312287651210220/16124521 545799711112967453977/6789272 3493822628623871459233/64498084 -12170389603446909982999/64498084 9909478256984693250405/128996168 2125533009584077845841/6789272 -5683608349093461376223/32249042 6205247111694954476445/32249042 -7024473691848994771767/128996168 -398815157610679946691/1697318 3625495115432469644537/18428024 -255741099352546799061/2303503 -9413486392700617973443/64498084 -1442933861483277645889/64498084 -1432110678500244785045/128996168 36882614581857070450647/128996168 25665299277893416017/1697318 -7460279259583366073537/64498084 45437075723019131476933/128996168 -6964316461505910960377/16124521 8544143021657970308419/128996168 26571557279410534070937/64498084 82222979347689471145/6789272 -440239342393497842495/32249042 1096456890557949139743/9214012 1154469175826610409368/16124521 -27745205236095891327009/128996168 8886299256547932712/848659 -37676383817348509149893/64498084] [-67196297724623872421875/902973176 -5372283547259067857923/902973176 47625614345222651583781/902973176 -14327491993860838655099/902973176 -20701468802988584109207/451486588 303367248020121272300735/902973176 6808794211422703133660/112871647 -239278702931135940823843/902973176 36352050680682561883647/902973176 -65720656084631502860631/451486588 -822282772321423169241/11881226 -629839811471148826495243/902973176 128122288950859647922921/451486588 14817931093216190817263/451486588 1800494433101832788247/451486588 -135906371288991507336467/902973176 -681691995891258667709/4607006 -61690728240326285150079/902973176 33120958257872581551643/902973176 494411077835032580661/451486588 65757643461012492255907/902973176 -1876126762601448992659/23762452 313367827104285436507041/902973176 -366308656645318471266173/902973176 22236168552437110603645/47524904 33733429419734862047193/451486588 -73692031070949970963581/902973176 -45348460409093675195723/225743294 7875881872970955578867/47524904 50415809587079948726319/451486588 -175618544519424991285037/451486588 142993626756669597013853/902973176 30671410335576099922247/47524904 -11716340800550802802067/32249042 89541625342100503871175/225743294 -101363052948456139822225/902973176 -411064064938375160251/848659 366210891562539770160905/902973176 -51664764685199670188249/225743294 -135836471387184109511163/451486588 -20821514581563702809563/451486588 -20665336208933293146077/902973176 532215590625149775849977/902973176 185174947175173345550/5940613 -107651720936314018277963/451486588 655656340158211117228059/902973176 -100494984991766254340340/112871647 123291859219066951170245/902973176 383427184097951818927951/451486588 1186476393081287058305/47524904 -129645863092673228269/4607006 110752998602018513844637/451486588 33317946747372928333367/225743294 -400362906999780183026005/902973176 256458337398993539937/11881226 -543669669119220617019201/451486588] [-6024158025519286063011/451486588 -240813007133279665991/225743294 8539286734332141337973/902973176 -1284461775469618287947/451486588 -1855889738756595787975/225743294 54393837271496968468143/902973176 9766550522992677547213/902973176 -10725685546737064579897/225743294 6517933435843674549651/902973176 -5891866534330611412359/225743294 -589742176859365922583/47524904 -112930464431676155290387/902973176 22972364292873486425981/451486588 5313718852941515734309/902973176 322829184236523392891/451486588 -12184026278872971201657/451486588 -427796517505605087346/16124521 -11061165814583246807363/902973176 5938597609044213683939/902973176 44324026222963170619/225743294 1473795614522823788099/112871647 -672780166558254195439/47524904 56186944058319510613057/902973176 -65679250448896582000373/902973176 1993475798189351619043/23762452 6048413869466037949337/451486588 -1651625370091727030048/112871647 -32523969441044223004307/902973176 1412147948612746418393/47524904 9039569566219321210871/451486588 -7872114240075456689872/112871647 6409699889675800296799/225743294 1374848235569890644459/11881226 -1050371684949142913790/16124521 32109679800111021229283/451486588 -18174425365306963147225/902973176 -73703908389396600786/848659 65661721140647615611497/902973176 -18527015169222134502537/451486588 -6088879871170801490176/112871647 -933325930276967937744/112871647 -1852650446357405956391/451486588 95426412767861163160577/902973176 265615382257313079997/47524904 -19301985395002394236163/451486588 117559375658857247533503/902973176 -144150244191979245159389/902973176 22106266813672294210513/902973176 137497214965728839206203/902973176 53183892026028473291/11881226 -162718791108972649959/32249042 19858045397468055433177/451486588 23895670813836541370927/902973176 -35892593803410278089943/451486588 91966111453637358235/23762452 -194960264857320050950789/902973176] [-75901239933203040692807/902973176 -6068235845087054286821/902973176 6724409126297534976035/112871647 -16183546479354838756419/902973176 -23383239907420848452749/451486588 171333474161129071667461/451486588 61526713893062360111285/902973176 -270276054739047921766809/902973176 10265318976670971094157/225743294 -74234436344834468524833/451486588 -3715221469532646863347/47524904 -177858097353319024274919/225743294 36179971679030476062814/112871647 33475038991850562212669/902973176 1016869713010934897397/225743294 -153512357748195193195191/902973176 -770001763381764816009/4607006 -34841225814344013485805/451486588 9352902930197974575103/225743294 558459544871714893859/451486588 74276215249688482421509/902973176 -4238339086384967157099/47524904 44245381512426878034861/112871647 -206881049842848708452393/451486588 25116752286118919270149/47524904 9525856359861720800216/112871647 -83238462845128488643299/902973176 -204892500965906347480743/902973176 4448081367337556735767/23762452 28473462002158706541033/225743294 -198369043171320423870485/451486588 161517731495490495355547/902973176 34644737192376589069473/47524904 -13234133789426127515029/32249042 202282584583800392643789/451486588 -28623531588494840859327/225743294 -928630691788016362837/1697318 206825834814221706775747/451486588 -116715349900202730553673/451486588 -153433402665876459381385/451486588 -23518837012487008847267/451486588 -23342426517640684407897/902973176 150290360511290540843829/225743294 1673307437592358107185/47524904 -60798729816145783757083/225743294 370296659735748904228003/451486588 -908108836496037707370397/902973176 17407962390180733550155/112871647 866196492443555593326985/902973176 1340178438928270207871/47524904 -73220416110349574365/2303503 31275123053144992870372/112871647 150536476311096049880703/902973176 -452227906797450576182725/902973176 579362448793317289985/23762452 -1228198677532248520988235/902973176] W2 = [0 1 0 0 0 0 0 0 0 1500 0 4903 -958 0 5060 -9046 0 -2045 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 0 0 0 0 0 0 0 444 0 1442 -284 0 1490 -2665 0 -601 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 510 0 1677 -326 0 1730 -3092 0 -701 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 1494 0 4888 -954 0 5043 -9016 0 -2039 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 0 0 0 1616 0 5288 -1030 0 5456 -9755 0 -2207 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 399 1 1316 -254 0 1354 -2420 0 -550 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 547 0 1791 -350 1 1848 -3304 0 -747 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 555 0 1808 -354 0 1866 -3338 0 -754 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 1017 0 3324 -650 0 3432 -6136 1 -1387 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 0 10 0 0 9 -16 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 0 0 552 0 1798 -352 0 1855 -3320 0 -749 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 669 0 2192 -427 0 2262 -4043 0 -915 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 1336 0 4364 -852 0 4503 -8052 0 -1820 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 0 0 478 0 1562 -304 0 1611 -2881 0 -652 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 1100 0 3604 -701 0 3716 -6644 0 -1504 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 313 0 1031 -199 0 1062 -1898 0 -431 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 1 1657 0 5422 -1057 0 5595 -10002 0 -2263 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2317 0 7576 -1479 0 7818 -13978 0 -3160 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1/2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] Compute T^*/(T^* meet WT^*). (3.01 s to compute intersection) (0.06 s to compute quotient) (4.46 s). M = Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/4 + Z/56 + Z/902973176 Defined on 19 generators Relations: 2*M.1 = 0 2*M.2 = 0 2*M.3 = 0 2*M.4 = 0 2*M.5 = 0 2*M.6 = 0 2*M.7 = 0 2*M.8 = 0 2*M.9 = 0 2*M.10 = 0 2*M.11 = 0 2*M.12 = 0 2*M.13 = 0 2*M.14 = 0 2*M.15 = 0 4*M.16 = 0 4*M.17 = 0 56*M.18 = 0 902973176*M.19 = 0 Time: 13.560 > factor(902973176); [ <2, 3>, <7, 2>, <19, 1>, <41, 1>, <2957, 1> ] 1 > S := CS(MF(227*2)); > S := NS(CS(MF(227*2))); > O := CS(MF(227)); > CongruenceGroupAnemic(O,S,70); Abelian Group of order 1 > CongruenceGroupAnemic(O,S,100); Abelian Group of order 1 > S; Space of modular forms on Gamma_0(454) of weight 2 and dimension 56 over Integer Ring. > O; Space of modular forms on Gamma_0(227) of weight 2 and dimension 19 over Integer Ring. > S := NS(CS(MF(227*2))); > S := NS(CS(MF(227*2))); > CongruenceGroupAnemic(O,S,90); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 Defined on 4 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 > CongruenceGroupAnemic(O,S,110); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/112 + Z/1805946352 Defined on 6 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 112*$.5 = 0 1805946352*$.6 = 0 > factor(1805946352); [ <2, 4>, <7, 2>, <19, 1>, <41, 1>, <2957, 1> ] 1 > CongruenceGroupAnemic(O,S,100); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/112 + Z/1805946352 Defined on 6 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 112*$.5 = 0 1805946352*$.6 = 0 > p := 179; O := CS(MF(p)); S := NS(CS(MF(p*2))); > > > CongruenceGroupAnemic(O,S,100); Abelian Group isomorphic to Z/2 + Z/2 Defined on 2 generators Relations: 2*$.1 = 0 2*$.2 = 0 > CongruenceGroupAnemic(O,S,105); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 Defined on 3 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 > CongruenceGroupAnemic(O,S,110); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 Defined on 5 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 2*$.5 = 0 > CongruenceGroupAnemic(O,S,120); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 Defined on 5 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 2*$.5 = 0 > p := 179; O := CS(MF(p)); S := NS(CS(MF(p*2))); > CongruenceGroupAnemic(O,S,120); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/34 + Z/5063110 Defined on 6 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 34*$.5 = 0 5063110*$.6 = 0 > factor(5063110); [ <2, 1>, <5, 1>, <13, 1>, <17, 1>, <29, 1>, <79, 1> ] 1 > p := 431; O := CS(MF(p)); S := NS(CS(MF(p*2))); > CongruenceGroupAnemic(O,S,140); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/8 + Z/16 + Z/48 Defined on 10 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 2*$.5 = 0 2*$.6 = 0 2*$.7 = 0 8*$.8 = 0 16*$.9 = 0 48*$.10 = 0 > S; Space of modular forms on Gamma_0(866) of weight 2 and dimension 37 over Integer Ring. > O; Space of modular forms on Gamma_0(433) of weight 2 and dimension 35 over Integer Ring. > PrecisionBound(S); 59 > PrecisionBound(O); 36 > PrecisionBound(CS(MF(p*2))); 108 > p := 431; O := CS(MF(p)); S := NS(CS(MF(p*2))); > CongruenceGroupAnemic(O,S,140); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/4 + Z/20 + Z/960 Defined on 13 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 2*$.5 = 0 2*$.6 = 0 2*$.7 = 0 2*$.8 = 0 2*$.9 = 0 2*$.10 = 0 4*$.11 = 0 20*$.12 = 0 960*$.13 = 0 > CongruenceGroupAnemic(O,S,170); Abelian Group isomorphic to Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/2 + Z/20 + Z/120 + Z/128857026918596296320 Defined on 14 generators Relations: 2*$.1 = 0 2*$.2 = 0 2*$.3 = 0 2*$.4 = 0 2*$.5 = 0 2*$.6 = 0 2*$.7 = 0 2*$.8 = 0 2*$.9 = 0 2*$.10 = 0 2*$.11 = 0 20*$.12 = 0 120*$.13 = 0 128857026918596296320*$.14 = 0 > factor(128857026918596296320); [ <2, 7>, <3, 2>, <5, 1>, <7, 1>, <11, 1>, <13, 1>, <31, 1>, <79, 1>, <167, 1>, <313, 1>, <174583, 1> ] 1 >