Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 3852761397] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1186 geometric_solution 5.05654117 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 -1 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 0 0 0 0 0 0.911103347960 0.950253575728 3 4 3 0 0132 0132 2310 0132 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772697811890 0.589865626627 4 3 0 3 2310 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772697811890 0.589865626627 1 1 2 2 0132 3201 2310 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661899561501 0.318121977938 5 1 2 5 0132 0132 3201 1023 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806618252213 0.519155617868 4 6 6 4 0132 0132 1023 1023 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 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.334820029632 0.318954174165 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.560466763191 0.151073495146 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0011_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 255205664368311773/10147720663672676118*c_0101_6^21 + 33222418382932055119/30443161991018028354*c_0101_6^19 - 5255055812363307269/15221580995509014177*c_0101_6^17 - 192014494076140222574/15221580995509014177*c_0101_6^15 + 196878496723096871315/30443161991018028354*c_0101_6^13 + 514484583150906314530/15221580995509014177*c_0101_6^11 - 262762413832366153573/15221580995509014177*c_0101_6^9 + 191013281346689356511/15221580995509014177*c_0101_6^7 - 42118139155025078137/1602271683737790966*c_0101_6^5 + 104836827511109599189/30443161991018028354*c_0101_6^3 - 298989068745166096922/15221580995509014177*c_0101_6, c_0011_0 - 1, c_0011_1 - 142810693990287/29671697846996129*c_0101_6^20 + 5804225864662459/29671697846996129*c_0101_6^18 + 14046964802296416/29671697846996129*c_0101_6^16 - 34621825756312080/29671697846996129*c_0101_6^14 - 71280525592080007/29671697846996129*c_0101_6^12 + 12356132302258592/29671697846996129*c_0101_6^10 + 32682604109663402/29671697846996129*c_0101_6^8 + 111161291288295674/29671697846996129*c_0101_6^6 + 17186670663679702/29671697846996129*c_0101_6^4 + 67851953479956525/29671697846996129*c_0101_6^2 + 3169482207494893/29671697846996129, c_0101_0 + 51688618176326675/1691286777278779353*c_0101_6^21 - 2125135516609965454/1691286777278779353*c_0101_6^19 - 1369660902720601281/563762259092926451*c_0101_6^17 + 5201633164196140482/563762259092926451*c_0101_6^15 + 6259937678710070477/563762259092926451*c_0101_6^13 - 23159544855000059045/1691286777278779353*c_0101_6^11 - 312014957412205399/563762259092926451*c_0101_6^9 - 23452115173742200048/1691286777278779353*c_0101_6^7 - 14577793235856755/89015093540988387*c_0101_6^5 - 13291446003067362526/1691286777278779353*c_0101_6^3 + 2396882707809017639/1691286777278779353*c_0101_6, c_0101_1 + 5783892148230955/563762259092926451*c_0101_6^20 - 237499517773211968/563762259092926451*c_0101_6^18 - 471880801935821174/563762259092926451*c_0101_6^16 + 1711222793035220871/563762259092926451*c_0101_6^14 + 2182428880281896566/563762259092926451*c_0101_6^12 - 2539096989407043995/563762259092926451*c_0101_6^10 - 62771073310326418/563762259092926451*c_0101_6^8 - 1898258983959595134/563762259092926451*c_0101_6^6 - 45096262209569114/29671697846996129*c_0101_6^4 - 1301740201773251946/563762259092926451*c_0101_6^2 - 442968993981143617/563762259092926451, c_0101_4 - 200136282502222/29671697846996129*c_0101_6^21 + 8051358219768265/29671697846996129*c_0101_6^19 + 23032329098804703/29671697846996129*c_0101_6^17 - 39892866820981293/29671697846996129*c_0101_6^15 - 111552926057921588/29671697846996129*c_0101_6^13 - 22108071861312921/29671697846996129*c_0101_6^11 + 11293514006177853/29671697846996129*c_0101_6^9 + 176195290410244421/29671697846996129*c_0101_6^7 + 106445449164054122/29671697846996129*c_0101_6^5 + 101955047414775287/29671697846996129*c_0101_6^3 + 51312650045820304/29671697846996129*c_0101_6, c_0101_5 - 137016324104227/29671697846996129*c_0101_6^20 + 5652731222101031/29671697846996129*c_0101_6^18 + 10122777046953828/29671697846996129*c_0101_6^16 - 44169143021227739/29671697846996129*c_0101_6^14 - 43226195113211031/29671697846996129*c_0101_6^12 + 76039364610554906/29671697846996129*c_0101_6^10 - 8912076579456348/29671697846996129*c_0101_6^8 + 51748200648778653/29671697846996129*c_0101_6^6 - 35236813412951567/29671697846996129*c_0101_6^4 + 62348849436298470/29671697846996129*c_0101_6^2 - 13014040502114057/29671697846996129, c_0101_6^22 - 41*c_0101_6^20 - 84*c_0101_6^18 + 285*c_0101_6^16 + 384*c_0101_6^14 - 352*c_0101_6^12 - 9*c_0101_6^10 - 527*c_0101_6^8 - 64*c_0101_6^6 - 344*c_0101_6^4 + 22*c_0101_6^2 - 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB