Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 3035965832] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3535 geometric_solution 6.89968701 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0.427811442791 0.620893259165 0 4 0 2 0132 0132 2310 1302 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 0.247514400758 1.092100840362 4 3 1 0 0213 3012 2031 0132 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 0 0 0 0 0 0 0 0 0.769469327555 0.950000703662 2 5 0 6 1230 0132 0132 0132 0 0 0 0 0 1 -1 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 -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 0.729313016265 0.928530481029 2 1 6 5 0213 0132 3012 1230 0 0 0 0 0 0 1 -1 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 -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 0.289368529983 0.992613300545 4 3 5 5 3012 0132 2031 1302 0 0 0 0 0 -1 0 1 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 1 0 -1 -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 0.443434624563 0.665599753707 6 4 3 6 3201 1230 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689999655031 0.745623097449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 114199665418630547/5101581374712016*c_0110_5^16 - 7710265266640653/2550790687356008*c_0110_5^15 - 1258354167290117501/5101581374712016*c_0110_5^14 - 969738694302800939/5101581374712016*c_0110_5^13 - 46007780211293033/41816240776328*c_0110_5^12 - 1561085626239999007/1275395343678004*c_0110_5^11 - 8987824000182173877/2550790687356008*c_0110_5^10 - 16719670239728473091/5101581374712016*c_0110_5^9 - 19407714247528932685/2550790687356008*c_0110_5^8 - 16688297747655235151/2550790687356008*c_0110_5^7 - 56484390708846192425/5101581374712016*c_0110_5^6 - 10662918768803042421/1275395343678004*c_0110_5^5 - 10467313409569063731/1275395343678004*c_0110_5^4 - 1671157129846786756/318848835919501*c_0110_5^3 - 13540878968392674053/5101581374712016*c_0110_5^2 - 1656657555915755521/1275395343678004*c_0110_5 - 1689602202200614429/5101581374712016, c_0011_0 - 1, c_0011_2 - 11547343238062/318848835919501*c_0110_5^16 + 24024642270947/318848835919501*c_0110_5^15 - 126000882311772/318848835919501*c_0110_5^14 + 174216056510963/318848835919501*c_0110_5^13 - 6126216974385/5227030097041*c_0110_5^12 + 510625227998522/318848835919501*c_0110_5^11 - 583648526624177/318848835919501*c_0110_5^10 + 1837990042770342/318848835919501*c_0110_5^9 - 907109047329476/318848835919501*c_0110_5^8 + 3879909931776613/318848835919501*c_0110_5^7 + 174901997931086/318848835919501*c_0110_5^6 + 5433006554316334/318848835919501*c_0110_5^5 + 2552075047936999/318848835919501*c_0110_5^4 + 3011460403650944/318848835919501*c_0110_5^3 + 1853752781951168/318848835919501*c_0110_5^2 + 322355373476216/318848835919501*c_0110_5 + 216636571228034/318848835919501, c_0011_3 + 49024240123169/318848835919501*c_0110_5^16 - 4989316128695/318848835919501*c_0110_5^15 + 524237042125042/318848835919501*c_0110_5^14 + 284246500749797/318848835919501*c_0110_5^13 + 35472236170901/5227030097041*c_0110_5^12 + 1968590430141933/318848835919501*c_0110_5^11 + 6477194877987376/318848835919501*c_0110_5^10 + 4588507001310053/318848835919501*c_0110_5^9 + 13096377898832656/318848835919501*c_0110_5^8 + 8645945699717645/318848835919501*c_0110_5^7 + 17281397623653943/318848835919501*c_0110_5^6 + 9349888273078812/318848835919501*c_0110_5^5 + 9057197418691602/318848835919501*c_0110_5^4 + 3990392394494528/318848835919501*c_0110_5^3 + 1157579378913458/318848835919501*c_0110_5^2 + 792023761460733/318848835919501*c_0110_5 - 78381257751421/318848835919501, c_0011_6 - 37756035821347/318848835919501*c_0110_5^16 + 16968739891088/318848835919501*c_0110_5^15 - 412819802064799/318848835919501*c_0110_5^14 - 83931347009765/318848835919501*c_0110_5^13 - 27356345593051/5227030097041*c_0110_5^12 - 1043841758095198/318848835919501*c_0110_5^11 - 4800937494742013/318848835919501*c_0110_5^10 - 2320199921486512/318848835919501*c_0110_5^9 - 9958633329080273/318848835919501*c_0110_5^8 - 4405817010019291/318848835919501*c_0110_5^7 - 13110112139232815/318848835919501*c_0110_5^6 - 4895879963534455/318848835919501*c_0110_5^5 - 7420306927751529/318848835919501*c_0110_5^4 - 3200632311815572/318848835919501*c_0110_5^3 - 1326987070167284/318848835919501*c_0110_5^2 - 1012366154067354/318848835919501*c_0110_5 - 151790358879512/318848835919501, c_0101_1 - 1, c_0101_5 + 38309164845844/318848835919501*c_0110_5^16 - 8264427509180/318848835919501*c_0110_5^15 + 412978385092794/318848835919501*c_0110_5^14 + 182469949358550/318848835919501*c_0110_5^13 + 27752963255817/5227030097041*c_0110_5^12 + 1434341779896864/318848835919501*c_0110_5^11 + 5032069478240692/318848835919501*c_0110_5^10 + 3366311708633969/318848835919501*c_0110_5^9 + 10372805366412638/318848835919501*c_0110_5^8 + 6503061543082067/318848835919501*c_0110_5^7 + 13663603204958458/318848835919501*c_0110_5^6 + 7404181648476701/318848835919501*c_0110_5^5 + 125200820910754/5227030097041*c_0110_5^4 + 3871998897520065/318848835919501*c_0110_5^3 + 1124231734062651/318848835919501*c_0110_5^2 + 701502208936864/318848835919501*c_0110_5 - 149414455732287/318848835919501, c_0110_5^17 + 11*c_0110_5^15 + 7*c_0110_5^14 + 48*c_0110_5^13 + 48*c_0110_5^12 + 150*c_0110_5^11 + 125*c_0110_5^10 + 320*c_0110_5^9 + 246*c_0110_5^8 + 455*c_0110_5^7 + 306*c_0110_5^6 + 316*c_0110_5^5 + 184*c_0110_5^4 + 87*c_0110_5^3 + 42*c_0110_5^2 + 7*c_0110_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB