> load "alina.m";
Loading "alina.m"
> alina3(100,102,~T);
> file := Open("outfile","w");
> file;
User file
> fprintf file, "%o\n", S;
> 
> 
> Flush(file);
> 
> 
> 
> load "alina.m";
Loading "alina.m"
> Open;
Intrinsic 'Open'

Signatures:

    (<MonStgElt> F, <MonStgElt> M) -> File

        Open file with filename F with mode M, and return file


> Open;
Intrinsic 'Open'

Signatures:

    (<MonStgElt> F, <MonStgElt> M) -> File

        Open file with filename F with mode M, and return file


> CuspForms;
Intrinsic 'CuspForms'

Signatures:

    (<RngIntElt> N) -> ModFrm

        The space of weight-2 cusp forms on Gamma_0(N) over the rational 
        numbers.

    (<RngIntElt> N, <Rng> R) -> ModFrm

        The space of weight-2 cusp forms on Gamma_0(N) over the ring R.

    (<RngIntElt> N, <RngIntElt> k) -> ModFrm

        The space of weight-k cusp forms on Gamma_0(N) over the rational field.

    (<RngIntElt> N, <RngIntElt> k, <Rng> R) -> ModFrm

        The space of weight-k cusp forms on Gamma_0(N) over the ring R. By 
        definition this is the tensor product of CuspForms(N,k,IntegerRing()) 
        with R. Thus CuspForms(N,k,GF(p)) is the SERRE space of mod-p modular 
        forms, not the Katz space.

    (<GrpDrchElt> eps, <RngIntElt> k) -> ModFrm
    (<ModSym> M) -> ModFrm

        The space of cusp forms associated to the space M of modular symbols, 
        which must have sign +1 or -1.


> CuspForms(1,12,GF(11));
Full space of cusp forms of level 1, weight 12, and dimension 1
> S := $1;
> qExpansion(S,10);
[*
q + 9*q^2 + 10*q^3 + 2*q^4 + q^5 + 2*q^6 + 9*q^7 + 9*q^9 + O(q^10)
*]
> qExpansion;
Intrinsic 'qExpansion'

Signatures:

    (<ModFrm> M, <RngIntElt> prec) -> List
    (<SeqEnum[ModFrmElt]> B, <RngIntElt> prec) -> List
    (<ModFrmElt> f) -> RngSerPowElt
    (<SeqEnum> S) -> RngSerPowElt
    (<ModFrmElt> f, <RngIntElt> prec) -> RngSerPowElt

        The q-expansion of the modular form f to absolute precision prec.


> 50000/3600.0;
13.88888888888888888888888888
> quit;

Total time: 2.740 seconds