Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 2917937485] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0649 geometric_solution 4.63605544 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 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 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 -1.556372987531 3.092496003965 0 0 3 2 0132 3201 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 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 0.080141850803 0.325019170797 3 3 1 4 1230 1023 0132 0132 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 0 0 0 0 0 0 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511888479708 1.370619016845 2 2 4 1 1023 3012 0132 0132 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 -1 0 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511888479708 1.370619016845 5 5 2 3 0132 3201 0132 0132 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.140475586964 0.804219125265 4 6 4 6 0132 0132 2310 2310 0 0 0 0 0 -1 1 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 -1 1 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 -0.247155356458 1.255828800612 5 5 6 6 3201 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 0.426345219591 0.097820131509 ==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' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 16766383708440631991/56721497892296265840*c_1100_1^13 + 689196890535719247/1890716596409875528*c_1100_1^12 + 1039233038692649083/1181697872756172205*c_1100_1^11 + 1005045580202616937/2025767781867723780*c_1100_1^10 - 81867221753470895149/11344299578459253168*c_1100_1^9 + 434395963007775170363/18907165964098755280*c_1100_1^8 - 1221274734980043973013/18907165964098755280*c_1100_1^7 + 103941703834356863371/945358298204937764*c_1100_1^6 - 334527643040414242439/3781433192819751056*c_1100_1^5 + 311541907194967624517/7090187236537033230*c_1100_1^4 + 150188208473889208517/14180374473074066460*c_1100_1^3 + 150170690704036259323/4726791491024688820*c_1100_1^2 - 1628506051100631203/709018723653703323*c_1100_1 - 174069513052532903647/3545093618268516615, c_0011_0 - 1, c_0011_2 - 3664924444391261/506441945466930945*c_1100_1^13 - 1313278542042869/101288389093386189*c_1100_1^12 - 57203120809069091/2025767781867723780*c_1100_1^11 - 29265547124512807/1012883890933861890*c_1100_1^10 + 15928252522641653/101288389093386189*c_1100_1^9 - 246885477103019209/506441945466930945*c_1100_1^8 + 2580564591310608841/2025767781867723780*c_1100_1^7 - 778508851525025897/405153556373544756*c_1100_1^6 + 371762287925555471/405153556373544756*c_1100_1^5 - 58903925649883766/506441945466930945*c_1100_1^4 - 529250927001705429/675255927289241260*c_1100_1^3 - 175627081698563002/168813981822310315*c_1100_1^2 - 98767355614523590/101288389093386189*c_1100_1 + 155759659424354589/168813981822310315, c_0011_4 + 5221596138578816/506441945466930945*c_1100_1^13 + 3505194513903367/202576778186772378*c_1100_1^12 + 42052639275830953/1012883890933861890*c_1100_1^11 + 21761284834110566/506441945466930945*c_1100_1^10 - 21744310510984961/101288389093386189*c_1100_1^9 + 739988013171999353/1012883890933861890*c_1100_1^8 - 1001558352790228039/506441945466930945*c_1100_1^7 + 319202252439574166/101288389093386189*c_1100_1^6 - 442637474946742741/202576778186772378*c_1100_1^5 + 1313074455931353007/1012883890933861890*c_1100_1^4 + 190646344284857547/337627963644620630*c_1100_1^3 + 238907369503880947/168813981822310315*c_1100_1^2 + 157531582239946135/101288389093386189*c_1100_1 - 259302423063441589/168813981822310315, c_0101_0 - 1002538807/2900205989580*c_1100_1^13 - 233760929/290020598958*c_1100_1^12 - 3650957983/2900205989580*c_1100_1^11 - 1694789081/1450102994790*c_1100_1^10 + 4644708577/580041197916*c_1100_1^9 - 44256977093/2900205989580*c_1100_1^8 + 39013959302/725051497395*c_1100_1^7 - 1063628629/580041197916*c_1100_1^6 + 531629509/145010299479*c_1100_1^5 + 16232568152/725051497395*c_1100_1^4 - 11529113137/966735329860*c_1100_1^3 - 23520486921/241683832465*c_1100_1^2 - 74512937717/145010299479*c_1100_1 + 140626609347/241683832465, c_0101_1 - 9253477426065317/4051535563735447560*c_1100_1^13 - 2195909951239135/405153556373544756*c_1100_1^12 - 22332604365517399/2025767781867723780*c_1100_1^11 - 14844484343303663/1012883890933861890*c_1100_1^10 + 32558030912784767/810307112747089512*c_1100_1^9 - 553424218354184803/4051535563735447560*c_1100_1^8 + 1157373716064658183/4051535563735447560*c_1100_1^7 - 145527827664595285/405153556373544756*c_1100_1^6 - 90710335260316591/810307112747089512*c_1100_1^5 + 148757483496648277/1012883890933861890*c_1100_1^4 - 25725231583480271/675255927289241260*c_1100_1^3 - 93313247595228073/168813981822310315*c_1100_1^2 - 56772137186609894/101288389093386189*c_1100_1 + 35862238104543501/168813981822310315, c_0110_6 + 94669089422125223/4051535563735447560*c_1100_1^13 + 7300004781002837/202576778186772378*c_1100_1^12 + 86495520861284393/1012883890933861890*c_1100_1^11 + 74171687450038127/1012883890933861890*c_1100_1^10 - 428814821904489869/810307112747089512*c_1100_1^9 + 6780576171113844547/4051535563735447560*c_1100_1^8 - 18974368195572234577/4051535563735447560*c_1100_1^7 + 3082132259101744585/405153556373544756*c_1100_1^6 - 4491431330401663661/810307112747089512*c_1100_1^5 + 6581356628430765109/2025767781867723780*c_1100_1^4 + 291701420806289787/337627963644620630*c_1100_1^3 + 1035904851156675769/337627963644620630*c_1100_1^2 + 153500512631776607/101288389093386189*c_1100_1 - 643440608174630789/168813981822310315, c_1100_1^14 + 2*c_1100_1^13 + 4*c_1100_1^12 + 4*c_1100_1^11 - 23*c_1100_1^10 + 59*c_1100_1^9 - 161*c_1100_1^8 + 212*c_1100_1^7 - 35*c_1100_1^6 - 44*c_1100_1^5 + 120*c_1100_1^4 + 132*c_1100_1^3 + 112*c_1100_1^2 - 192*c_1100_1 - 144 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB