Magma V2.8-10 Sun Apr 7 2002 23:19:09 on modular [Seed = 1810258735] Type ? for help. Type -D to quit. Loading startup file "/home/was/magma/local/init.m" Forming field L. Time: 0.000 L = Univariate Quotient Polynomial Algebra in w over Cyclotomic Field of order 37 and degree 36 with modulus w^37 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^35 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^34 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^33 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^32 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^30 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^29 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^28 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^27 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^26 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^25 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^24 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^23 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^22 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^21 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^20 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^19 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^18 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^17 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^16 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^15 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^14 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^13 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^12 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^11 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^10 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^9 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^8 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^7 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^5 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^4 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^3 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^2 - 1109057779204797647220483387753958150300552237984728549445619892366735836842023 Constructing random element of L... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Constructing random element of K... Computing trace of random element (alpha = (-z^35 - z^34 - z^31 + z^29 + z^28 + z^27 + z^22 - z^21 - z^20 + z^16 + z^15 + z^14 + z^12 + z^11 + z^10 + z^5 - z^2 - z - 1)*w^36 + (z^34 + z^32 - z^31 - z^29 + z^28 - z^27 - z^24 + z^23 + z^22 - z^21 - z^19 - z^18 + z^16 - z^15 + z^14 - z^10 + z^8 + z^7 + z^6 - z^5 - z^4 - z^3 + z^2 - z + 1)*w^35 + (-z^35 + z^34 - z^33 - z^32 - z^31 + z^30 - z^29 - z^27 + z^26 + z^25 - z^23 - z^19 - z^16 - z^15 - z^14 + z^13 - z^11 + z^10 - z^9 - z^7 + z^6 + z^4 + z^3 + z^2)*w^34 + (-z^35 + z^33 + z^30 + z^27 + z^26 + z^24 - z^23 + z^22 + z^21 + z^19 - z^18 - z^17 - z^15 - z^14 - z^13 + z^10 + z^9 - z^8 - z^7 - z^6 - z^5 - z^4 - z^3 - 1)*w^33 + (z^34 + z^33 - z^32 + z^31 + z^30 - z^29 + z^28 - z^26 + z^25 - z^24 + z^22 - z^21 + z^20 - z^19 - z^17 - z^16 - z^14 - z^13 + z^12 - z^11 - z^9 - z^7 + z^3 + z^2 + z - 1)*w^32 + (-z^35 + z^33 + z^31 + z^30 - z^29 + z^28 + z^26 - z^25 + z^24 - z^23 - z^22 - z^21 + z^19 - z^18 + z^16 + z^15 + z^14 + z^13 + z^12 - z^11 - z^10 - z^8 - z^6 + z^5 + z^4 - z^2 - z)*w^31 + (-z^35 + z^34 - z^33 + z^32 - z^31 + z^30 - z^29 + z^28 + z^27 + z^26 - z^25 - z^24 - z^21 + z^20 + z^19 + z^18 - z^16 - z^15 - z^14 + z^13 + z^12 - z^11 + z^9 + z^8 - z^7 - z^5 + z^4 - z^3 + z - 1)*w^30 + (-z^34 - z^32 + z^31 + z^30 + z^29 + z^28 - z^27 - z^25 - z^24 - z^23 + z^21 + z^20 - z^19 + z^18 - z^17 - z^16 + z^15 + z^14 + z^13 - z^11 - z^8 + z^7 - z^6 + z^5 - z^4 - z^3 + z - 1)*w^29 + (z^35 - z^34 - z^33 - z^32 - z^31 - z^30 + z^28 + z^27 - z^26 + z^25 - z^24 - z^21 + z^18 + z^17 - z^15 - z^14 - z^13 - z^12 + z^11 + z^10 + z^9 - z^8 - z^7 + z^6 + z^3 + 1)*w^28 + (-z^35 - z^34 + z^33 - z^32 - z^30 - z^29 - z^28 - z^26 - z^25 + z^24 - z^22 - z^20 + z^19 + z^16 + z^15 + z^14 - z^13 - z^11 - z^9 - z^8 - z^5 + z^4 + z + 1)*w^27 + (z^35 + z^34 - z^33 + z^32 + z^29 + z^25 - z^23 - z^21 + z^20 - z^19 + z^15 - z^14 + z^13 - z^12 - z^11 - z^10 - z^9 - z^8 - z^7 + z^6 - z^4 + z^2 + z - 1)*w^26 + (z^34 - z^33 - z^32 + z^29 - z^27 + z^26 + z^25 - z^24 - z^23 + z^22 + z^20 - z^19 + z^18 - z^17 - z^16 - z^15 + z^13 - z^12 + z^11 + z^9 + z^8 - z^6 + z^5 - z^4 - z^3 + z^2 + z)*w^25 + (z^35 + z^34 - z^33 + z^32 - z^31 + z^29 + z^28 - z^27 + z^25 + z^24 + z^23 - z^22 - z^20 + z^18 + z^15 - z^14 - z^13 + z^11 + z^8 - z^6 + z^5 + z^4 - z^3 - z^2)*w^24 + (z^35 + z^34 + z^33 - z^32 - z^31 - z^30 + z^29 - z^28 + z^27 - z^26 + z^25 + z^24 - z^23 - z^22 + z^21 + z^19 + z^18 - z^16 - z^15 + z^12 + z^11 + z^10 - z^9 + z^8 + z^7 - z^4 - z^2 + z - 1)*w^23 + (-z^35 - z^34 - z^33 - z^31 + z^30 - z^28 + z^27 - z^26 - z^25 - z^24 + z^23 - z^22 - z^21 - z^20 + z^17 - z^16 + z^15 + z^13 + z^12 + z^11 + z^6 - z^4 + z^3 + z - 1)*w^22 + (-z^35 - z^34 + z^32 + z^31 + z^28 - z^27 + z^26 + z^25 + z^23 + z^22 + z^16 + z^15 - z^14 - z^13 + z^12 + z^11 + z^10 - z^9 + z^8 - z^7 - z^5 + z^3 - z^2 - z - 1)*w^21 + (-z^35 + z^34 + z^33 - z^31 + z^30 + z^29 - z^28 + z^27 - z^26 - z^23 + z^22 + z^21 + z^19 - z^18 + z^17 + z^16 - z^15 + z^12 - z^10 + z^9 - z^8 - z^6 - z^5 - z^3 - z^2 + 1)*w^20 + (-z^35 - z^34 + z^33 - z^32 - z^30 - z^29 - z^26 + z^24 - z^23 - z^22 + z^21 - z^20 + z^19 + z^18 + z^17 + z^16 + z^15 + z^14 - z^12 + z^11 + z^10 - z^9 + z^5 - z^3 + 1)*w^19 + (-z^35 - z^34 + z^33 + z^31 + z^30 + z^29 + z^26 - z^24 + z^22 + z^19 - z^18 - z^14 + z^12 + z^9 + z^8 - z^7 - z^6 - z^5 - z^3 + z^2 + z + 1)*w^18 + (z^35 - z^33 + z^29 - z^28 - z^27 - z^23 + z^22 - z^20 + z^19 + z^18 - z^17 + z^16 + z^14 - z^12 - z^11 + z^10 + z^9 + z^8 - z^7 - z^6 - z^4 - z^3 + z)*w^17 + (z^35 - z^34 - z^33 - z^32 + z^26 - z^25 + z^23 - z^22 - z^21 - z^20 + z^16 - z^14 - z^11 - z^10 + z^8 - z^6 - z^2 + 1)*w^16 + (z^35 - z^34 + z^33 - z^31 - z^30 - z^29 + z^28 + z^27 - z^26 - z^25 - z^24 - z^23 + z^22 - z^21 + z^20 - z^19 + z^17 + z^16 + z^15 + z^13 - z^12 + z^11 - z^10 + z^9 + z^6 - z^4 + z^2 - z - 1)*w^15 + (-z^35 - z^34 + z^32 - z^31 + z^28 - z^27 - z^23 - z^22 + z^20 - z^19 - z^18 + z^17 - z^16 - z^15 + z^12 - z^11 + z^9 - z^8 - z^7 + z^6 + z^5 - z^4 + z^3 + z^2)*w^14 + (z^35 + z^32 + z^31 - z^30 - z^26 - z^25 - z^24 + z^22 + z^19 + z^18 + z^17 + z^16 + z^15 - z^14 + z^13 - z^12 + z^11 - z^9 - z^8 + z^7 + z^6 + z^5 + z^4 - z^3 + z^2)*w^13 + (-z^33 - z^32 - z^31 + z^28 + z^27 + z^24 + z^22 - z^21 - z^20 + z^17 - z^14 + z^12 - z^10 - z^8 - z^5 - z^4 - z^2 + z - 1)*w^12 + (-z^32 - z^31 + z^29 - z^28 - z^26 + z^24 + z^23 - z^22 + z^21 + z^19 + z^18 + z^17 + z^16 + z^13 - z^12 + z^11 + z^10 - z^9 - z^8 - z^6 - z^5)*w^11 + (z^32 - z^31 + z^30 - z^28 + z^26 + z^25 - z^23 - z^22 + z^21 - z^20 - z^17 + z^16 + z^10 - z^9 - z^8 + z^7 - z^5 + z^4 + z^3 - 1)*w^10 + (z^33 - z^32 - z^29 + z^28 - z^27 - z^26 - z^24 + z^23 + z^21 + z^19 - z^17 + z^16 - z^15 + z^14 - z^13 - z^12 - z^10 + z^8 - z^7 - z^6 - z^5 - z^2 - z - 1)*w^9 + (-z^35 - z^34 - z^33 - z^31 + z^30 + z^27 - z^25 + z^24 + z^23 + z^22 + z^21 - z^18 - z^16 + z^15 - z^14 + z^13 - z^12 - z^10 + z^9 - z^8 - z^7 + z^5 + z^4 + z^3)*w^8 + (z^35 - z^33 - z^32 + z^31 + z^30 + z^29 + z^25 - z^24 - z^23 + z^22 - z^21 - z^17 - z^15 + z^14 - z^13 - z^10 - z^9 + z^8 + z^5 + z^3 - z^2 - z - 1)*w^7 + (-z^35 + z^33 - z^31 + z^30 + z^29 + z^28 - z^26 + z^24 - z^23 - z^22 - z^21 + z^18 - z^17 - z^15 - z^14 + z^12 + z^9 - z^6 + z^5 + z^4 - z - 1)*w^6 + (-z^35 + z^34 + z^33 - z^32 - z^31 - z^28 - z^27 + z^24 - z^23 + z^22 - z^21 + z^20 + z^19 - z^18 + z^17 - z^16 + z^15 + z^13 - z^12 - z^10 + z^8 - z^7 - z^6 - z^3 + z^2 - 1)*w^5 + (-z^34 - z^33 + z^31 - z^30 - z^29 - z^27 - z^25 + z^23 - z^20 - z^18 - z^16 - z^14 + z^12 + z^9 + z^7 + z^6 + z^5 - z^4 - z^2 - z)*w^4 + (-z^35 - z^34 + z^33 + z^32 - z^31 - z^30 - z^29 + z^26 + z^25 + z^23 - z^22 + z^21 + z^20 - z^13 + z^12 + z^11 + z^10 - z^9 - z^8 + z^7 + z^6 - z^5 + z^4 + z^3 - z - 1)*w^3 + (z^30 + z^28 + z^27 + z^24 + z^22 + z^20 - z^19 - z^18 - z^14 + z^13 + z^10 - z^8 + z^6 + z^5 + z^4 - z^3 + z + 1)*w^2 + (z^34 - z^31 - z^29 - z^26 - z^25 + z^24 + z^23 + z^21 - z^19 + z^18 - z^17 + z^16 + z^15 - z^14 - z^13 - z^11 - z^10 - z^8 - z^7 + z^6 + z^5 - z^4 + z^3 + z)*w + z^34 + z^33 + z^32 + z^29 + z^28 + z^26 + z^25 + z^23 - z^22 + z^21 + z^20 + z^17 + z^16 + z^15 + z^14 - z^13 + z^11 + z^10 + z^8 + z^7 + z^5 + z^2 + z ) i = 1 (of 34). Time: 0.600 i = 2 (of 34). Time: 0.570 i = 3 (of 34). Time: 0.590 i = 4 (of 34). Time: 0.570 i = 5 (of 34). Time: 0.560 i = 6 (of 34). Time: 0.560 i = 7 (of 34). Time: 0.560 i = 8 (of 34). Time: 0.550 i = 9 (of 34). Time: 0.590 i = 10 (of 34). Time: 0.580 i = 11 (of 34). Time: 0.580 i = 12 (of 34). Time: 0.610 i = 13 (of 34). Time: 0.580 i = 14 (of 34). Time: 0.580 i = 15 (of 34). Time: 0.570 i = 16 (of 34). Time: 0.580 i = 17 (of 34). Time: 0.540 i = 18 (of 34). Time: 0.560 i = 19 (of 34). Time: 0.560 i = 20 (of 34). Time: 0.570 i = 21 (of 34). Time: 0.610 i = 22 (of 34). Time: 0.580 i = 23 (of 34). Time: 0.580 i = 24 (of 34). Time: 0.570 i = 25 (of 34). Time: 0.620 i = 26 (of 34). Time: 0.550 i = 27 (of 34). Time: 0.560 i = 28 (of 34). Time: 0.570 i = 29 (of 34). Time: 0.590 i = 30 (of 34). Time: 0.580 i = 31 (of 34). Time: 0.580 i = 32 (of 34). Time: 0.570 i = 33 (of 34). Time: 0.590 i = 34 (of 34). Time: 0.580 Finished computing trace of random element. Computing minimal polynomial of trace(alpha), as an element of K[X] malloc block past in more_data scan Magma: Internal error Please mail this entire run [**WITH THE FOLLOWING LINES**] to magma-bugs@maths.usyd.edu.au Version date: Tue Mar 12 19:47:33 EST 2002 Initial seed: 1810258735 Time to this point: 18231.9 Total time: 18231.900 seconds