Magma V2.19-8 Tue Aug 20 2013 16:14:28 on localhost [Seed = 1174919747] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s462 geometric_solution 4.80549336 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 1230 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 -1 0 1 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 0.302875950838 0.696282347663 0 4 3 4 0132 0132 0321 1023 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675474673178 0.975708353103 3 0 5 5 1230 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701248830798 2.752333859200 0 2 1 0 3012 3012 0321 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718098967738 0.717231941305 4 1 4 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 0 -1 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 0.617408256353 0.228999477375 2 5 2 5 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.502101703931 0.558705934603 ==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_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_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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 19188*c_0101_4^25 + 226126*c_0101_4^24 - 284044*c_0101_4^23 - 2323025*c_0101_4^22 + 4461405*c_0101_4^21 + 10343829*c_0101_4^20 - 24745666*c_0101_4^19 - 26300245*c_0101_4^18 + 77469817*c_0101_4^17 + 44337890*c_0101_4^16 - 152751587*c_0101_4^15 - 56077118*c_0101_4^14 + 196025814*c_0101_4^13 + 56572083*c_0101_4^12 - 165286317*c_0101_4^11 - 43983603*c_0101_4^10 + 91553774*c_0101_4^9 + 24435101*c_0101_4^8 - 32856849*c_0101_4^7 - 9080724*c_0101_4^6 + 7341082*c_0101_4^5 + 2117104*c_0101_4^4 - 927336*c_0101_4^3 - 278745*c_0101_4^2 + 50582*c_0101_4 + 15794, c_0011_0 - 1, c_0011_3 - 18*c_0101_4^25 + 216*c_0101_4^24 - 307*c_0101_4^23 - 2184*c_0101_4^22 + 4753*c_0101_4^21 + 9382*c_0101_4^20 - 26699*c_0101_4^19 - 21882*c_0101_4^18 + 85316*c_0101_4^17 + 30093*c_0101_4^16 - 174007*c_0101_4^15 - 25115*c_0101_4^14 + 235855*c_0101_4^13 + 12638*c_0101_4^12 - 215791*c_0101_4^11 - 3643*c_0101_4^10 + 133827*c_0101_4^9 + 510*c_0101_4^8 - 55757*c_0101_4^7 - 12*c_0101_4^6 + 15116*c_0101_4^5 - 3*c_0101_4^4 - 2455*c_0101_4^3 + 185*c_0101_4, c_0011_5 - 6266*c_0101_4^25 + 72739*c_0101_4^24 - 79038*c_0101_4^23 - 783701*c_0101_4^22 + 1339127*c_0101_4^21 + 3710373*c_0101_4^20 - 7698041*c_0101_4^19 - 10262586*c_0101_4^18 + 24862127*c_0101_4^17 + 19236810*c_0101_4^16 - 50419666*c_0101_4^15 - 26799302*c_0101_4^14 + 66361332*c_0101_4^13 + 28285572*c_0101_4^12 - 57272292*c_0101_4^11 - 21753390*c_0101_4^10 + 32424254*c_0101_4^9 + 11582514*c_0101_4^8 - 11882247*c_0101_4^7 - 4076050*c_0101_4^6 + 2709502*c_0101_4^5 + 896108*c_0101_4^4 - 349240*c_0101_4^3 - 110945*c_0101_4^2 + 19431*c_0101_4 + 5891, c_0101_0 - c_0101_4^25 + 12*c_0101_4^24 - 17*c_0101_4^23 - 122*c_0101_4^22 + 265*c_0101_4^21 + 528*c_0101_4^20 - 1498*c_0101_4^19 - 1245*c_0101_4^18 + 4823*c_0101_4^17 + 1741*c_0101_4^16 - 9935*c_0101_4^15 - 1492*c_0101_4^14 + 13655*c_0101_4^13 + 785*c_0101_4^12 - 12747*c_0101_4^11 - 246*c_0101_4^10 + 8143*c_0101_4^9 + 42*c_0101_4^8 - 3550*c_0101_4^7 - 3*c_0101_4^6 + 1037*c_0101_4^5 - 194*c_0101_4^3 + 20*c_0101_4, c_0101_2 + 4180*c_0101_4^25 - 50160*c_0101_4^24 + 72657*c_0101_4^23 + 490796*c_0101_4^22 - 1079941*c_0101_4^21 - 2019526*c_0101_4^20 + 5849038*c_0101_4^19 + 4432508*c_0101_4^18 - 17925434*c_0101_4^17 - 5583837*c_0101_4^16 + 34679551*c_0101_4^15 + 4103059*c_0101_4^14 - 43827695*c_0101_4^13 - 1713501*c_0101_4^12 + 36536554*c_0101_4^11 + 373481*c_0101_4^10 - 20077149*c_0101_4^9 - 32809*c_0101_4^8 + 7167101*c_0101_4^7 - 8*c_0101_4^6 - 1595715*c_0101_4^5 - 2*c_0101_4^4 + 201015*c_0101_4^3 - c_0101_4^2 - 10926*c_0101_4, c_0101_4^26 - 12*c_0101_4^25 + 17*c_0101_4^24 + 122*c_0101_4^23 - 265*c_0101_4^22 - 528*c_0101_4^21 + 1498*c_0101_4^20 + 1245*c_0101_4^19 - 4823*c_0101_4^18 - 1741*c_0101_4^17 + 9935*c_0101_4^16 + 1492*c_0101_4^15 - 13655*c_0101_4^14 - 785*c_0101_4^13 + 12747*c_0101_4^12 + 246*c_0101_4^11 - 8143*c_0101_4^10 - 42*c_0101_4^9 + 3550*c_0101_4^8 + 3*c_0101_4^7 - 1037*c_0101_4^6 + 194*c_0101_4^4 - 21*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB