Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 2412647247] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0409 geometric_solution 4.46887386 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 3201 1023 0 0 0 0 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 -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 1.093806469569 0.079264078908 0 3 3 0 0132 0132 1023 1023 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 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 1.107256115811 0.168156749684 0 0 2 2 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.318215296434 0.103554678395 4 1 1 5 0132 0132 1023 0132 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 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 0.941659604411 0.352363345422 3 5 6 5 0132 0321 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611018444227 0.639752299629 6 4 3 4 1023 1302 0132 0321 0 0 0 0 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 -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 0.611018444227 0.639752299629 6 5 6 4 2310 1023 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219272015676 0.817442628901 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 394520383/1088*c_0101_4^29 - 4212989143/544*c_0101_4^28 + 42536485575/544*c_0101_4^27 - 67616289473/136*c_0101_4^26 + 2430775414393/1088*c_0101_4^25 - 8195659568811/1088*c_0101_4^24 + 21426894846799/1088*c_0101_4^23 - 11027525739389/272*c_0101_4^22 + 71437878167781/1088*c_0101_4^21 - 11104474010219/136*c_0101_4^20 + 78302039649811/1088*c_0101_4^19 - 8585166380353/272*c_0101_4^18 - 23897209804159/1088*c_0101_4^17 + 30712612500601/544*c_0101_4^16 - 55735439558755/1088*c_0101_4^15 + 2259328337633/136*c_0101_4^14 + 17077690391749/1088*c_0101_4^13 - 25070631077983/1088*c_0101_4^12 + 10822248171665/1088*c_0101_4^11 + 2023854548683/544*c_0101_4^10 - 429522743677/68*c_0101_4^9 + 125471910611/68*c_0101_4^8 + 1426510596643/1088*c_0101_4^7 - 538001614307/544*c_0101_4^6 - 26695361709/272*c_0101_4^5 + 264318410965/1088*c_0101_4^4 + 2736598209/544*c_0101_4^3 - 12098733623/272*c_0101_4^2 - 6751927763/544*c_0101_4 - 1109532507/1088, c_0011_0 - 1, c_0011_5 - 91121/8*c_0101_4^29 + 242612*c_0101_4^28 - 2441990*c_0101_4^27 + 61888599/4*c_0101_4^26 - 553924617/8*c_0101_4^25 + 1858530173/8*c_0101_4^24 - 4830253231/8*c_0101_4^23 + 2467326045/2*c_0101_4^22 - 15821820219/8*c_0101_4^21 + 9686201433/4*c_0101_4^20 - 16571164595/8*c_0101_4^19 + 1612092803/2*c_0101_4^18 + 6411557729/8*c_0101_4^17 - 3533481395/2*c_0101_4^16 + 12044066299/8*c_0101_4^15 - 399016718*c_0101_4^14 - 4473622787/8*c_0101_4^13 + 5720628395/8*c_0101_4^12 - 2147108027/8*c_0101_4^11 - 295544545/2*c_0101_4^10 + 803362945/4*c_0101_4^9 - 189239623/4*c_0101_4^8 - 381183755/8*c_0101_4^7 + 122454381/4*c_0101_4^6 + 4994954*c_0101_4^5 - 64146575/8*c_0101_4^4 - 480763*c_0101_4^3 + 5932739/4*c_0101_4^2 + 889093/2*c_0101_4 + 306235/8, c_0101_0 - 118177/8*c_0101_4^29 + 1256615/4*c_0101_4^28 - 12625441/4*c_0101_4^27 + 39913009/2*c_0101_4^26 - 712730031/8*c_0101_4^25 + 2384444989/8*c_0101_4^24 - 6175248661/8*c_0101_4^23 + 1570099345*c_0101_4^22 - 20013168127/8*c_0101_4^21 + 3034066624*c_0101_4^20 - 20373233401/8*c_0101_4^19 + 910010742*c_0101_4^18 + 8947125357/8*c_0101_4^17 - 9128877731/4*c_0101_4^16 + 14983672089/8*c_0101_4^15 - 852838191/2*c_0101_4^14 - 6176417079/8*c_0101_4^13 + 7346661753/8*c_0101_4^12 - 2513435023/8*c_0101_4^11 - 856870755/4*c_0101_4^10 + 261359251*c_0101_4^9 - 105906091/2*c_0101_4^8 - 532351989/8*c_0101_4^7 + 156667945/4*c_0101_4^6 + 15946863/2*c_0101_4^5 - 85289987/8*c_0101_4^4 - 3546009/4*c_0101_4^3 + 3973059/2*c_0101_4^2 + 2482775/4*c_0101_4 + 439077/8, c_0101_1 + c_0101_4^29 - 21*c_0101_4^28 + 208*c_0101_4^27 - 1294*c_0101_4^26 + 5671*c_0101_4^25 - 18570*c_0101_4^24 + 46880*c_0101_4^23 - 92375*c_0101_4^22 + 141063*c_0101_4^21 - 160353*c_0101_4^20 + 117829*c_0101_4^19 - 15899*c_0101_4^18 - 91877*c_0101_4^17 + 134153*c_0101_4^16 - 85607*c_0101_4^15 - 4793*c_0101_4^14 + 59787*c_0101_4^13 - 48138*c_0101_4^12 + 4706*c_0101_4^11 + 20109*c_0101_4^10 - 13782*c_0101_4^9 - 1136*c_0101_4^8 + 5445*c_0101_4^7 - 1441*c_0101_4^6 - 1246*c_0101_4^5 + 575*c_0101_4^4 + 252*c_0101_4^3 - 115*c_0101_4^2 - 81*c_0101_4 - 14, c_0101_2 - 6113/16*c_0101_4^29 + 32349/4*c_0101_4^28 - 323283/4*c_0101_4^27 + 4063033/8*c_0101_4^26 - 36021061/16*c_0101_4^25 + 119510613/16*c_0101_4^24 - 306416443/16*c_0101_4^23 + 153856359/4*c_0101_4^22 - 963898459/16*c_0101_4^21 + 569328459/8*c_0101_4^20 - 906202431/16*c_0101_4^19 + 60789071/4*c_0101_4^18 + 525807361/16*c_0101_4^17 - 113739485/2*c_0101_4^16 + 673598751/16*c_0101_4^15 - 9891229/2*c_0101_4^14 - 355887123/16*c_0101_4^13 + 354775159/16*c_0101_4^12 - 86733771/16*c_0101_4^11 - 13776285/2*c_0101_4^10 + 51690815/8*c_0101_4^9 - 4993249/8*c_0101_4^8 - 32138759/16*c_0101_4^7 + 7162789/8*c_0101_4^6 + 667301/2*c_0101_4^5 - 4495671/16*c_0101_4^4 - 200269/4*c_0101_4^3 + 438601/8*c_0101_4^2 + 20557*c_0101_4 + 32959/16, c_0101_3 - 29619/2*c_0101_4^29 + 315456*c_0101_4^28 - 3175318*c_0101_4^27 + 20119328*c_0101_4^26 - 180084455/2*c_0101_4^25 + 604257731/2*c_0101_4^24 - 1570563759/2*c_0101_4^23 + 1604665347*c_0101_4^22 - 5145674343/2*c_0101_4^21 + 3150858894*c_0101_4^20 - 5392700757/2*c_0101_4^19 + 1051092200*c_0101_4^18 + 2080331949/2*c_0101_4^17 - 2297174554*c_0101_4^16 + 3918235749/2*c_0101_4^15 - 520795273*c_0101_4^14 - 1451967121/2*c_0101_4^13 + 1859730249/2*c_0101_4^12 - 699320509/2*c_0101_4^11 - 191634306*c_0101_4^10 + 261089824*c_0101_4^9 - 61681167*c_0101_4^8 - 123696789/2*c_0101_4^7 + 39810737*c_0101_4^6 + 6463954*c_0101_4^5 - 20838521/2*c_0101_4^4 - 619913*c_0101_4^3 + 1927068*c_0101_4^2 + 577119*c_0101_4 + 99339/2, c_0101_4^30 - 21*c_0101_4^29 + 208*c_0101_4^28 - 1294*c_0101_4^27 + 5671*c_0101_4^26 - 18570*c_0101_4^25 + 46880*c_0101_4^24 - 92375*c_0101_4^23 + 141063*c_0101_4^22 - 160353*c_0101_4^21 + 117829*c_0101_4^20 - 15899*c_0101_4^19 - 91877*c_0101_4^18 + 134153*c_0101_4^17 - 85607*c_0101_4^16 - 4793*c_0101_4^15 + 59787*c_0101_4^14 - 48138*c_0101_4^13 + 4706*c_0101_4^12 + 20109*c_0101_4^11 - 13782*c_0101_4^10 - 1136*c_0101_4^9 + 5445*c_0101_4^8 - 1441*c_0101_4^7 - 1246*c_0101_4^6 + 575*c_0101_4^5 + 253*c_0101_4^4 - 118*c_0101_4^3 - 78*c_0101_4^2 - 15*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB