Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 1680210055] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0628 geometric_solution 4.62427984 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.770743827123 0.322890481943 0 2 2 0 3201 0132 3201 0132 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 -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 -0.373829071804 0.210448207369 1 1 3 4 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.196363652564 1.537234825565 4 5 4 2 1302 0132 1230 0132 0 0 0 0 0 0 1 -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 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 0.606005272352 0.672511997888 5 3 2 3 3201 2031 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606005272352 0.672511997888 6 3 6 4 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540738024216 1.090612882883 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477055550811 0.150581542022 ==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_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), '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_0011_3, c_0101_0, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 7113780/1153*c_0110_4^13 - 31829595/1153*c_0110_4^12 - 15086193/1153*c_0110_4^11 - 184963339/1153*c_0110_4^10 + 403070686/1153*c_0110_4^9 - 93020078/1153*c_0110_4^8 - 315641356/1153*c_0110_4^7 + 662797404/1153*c_0110_4^6 - 298178116/1153*c_0110_4^5 - 412507593/1153*c_0110_4^4 + 339572841/1153*c_0110_4^3 + 25023848/1153*c_0110_4^2 - 73736647/1153*c_0110_4 + 15141164/1153, c_0011_0 - 1, c_0011_1 - 567306/1153*c_0110_4^13 - 2565040/1153*c_0110_4^12 - 1338388/1153*c_0110_4^11 - 14884147/1153*c_0110_4^10 + 31381759/1153*c_0110_4^9 - 6353246/1153*c_0110_4^8 - 24813523/1153*c_0110_4^7 + 51687290/1153*c_0110_4^6 - 21825235/1153*c_0110_4^5 - 32883819/1153*c_0110_4^4 + 25346283/1153*c_0110_4^3 + 2443821/1153*c_0110_4^2 - 5523573/1153*c_0110_4 + 1086832/1153, c_0011_3 - 149783/1153*c_0110_4^13 - 653779/1153*c_0110_4^12 - 235125/1153*c_0110_4^11 - 3813490/1153*c_0110_4^10 + 8959587/1153*c_0110_4^9 - 2624380/1153*c_0110_4^8 - 6793385/1153*c_0110_4^7 + 14584211/1153*c_0110_4^6 - 7444264/1153*c_0110_4^5 - 8648152/1153*c_0110_4^4 + 8104697/1153*c_0110_4^3 + 287828/1153*c_0110_4^2 - 1741482/1153*c_0110_4 + 380816/1153, c_0101_0 + 458950/1153*c_0110_4^13 + 2089286/1153*c_0110_4^12 + 1152927/1153*c_0110_4^11 + 12104709/1153*c_0110_4^10 - 24989780/1153*c_0110_4^9 + 4525467/1153*c_0110_4^8 + 19962303/1153*c_0110_4^7 - 41241174/1153*c_0110_4^6 + 16620063/1153*c_0110_4^5 + 26690973/1153*c_0110_4^4 - 19630454/1153*c_0110_4^3 - 2227666/1153*c_0110_4^2 + 4288320/1153*c_0110_4 - 816412/1153, c_0101_2 + 231033/1153*c_0110_4^13 + 1019268/1153*c_0110_4^12 + 418654/1153*c_0110_4^11 + 5942035/1153*c_0110_4^10 - 13503227/1153*c_0110_4^9 + 3648673/1153*c_0110_4^8 + 10302003/1153*c_0110_4^7 - 22035428/1153*c_0110_4^6 + 10721701/1153*c_0110_4^5 + 13267120/1153*c_0110_4^4 - 11808351/1153*c_0110_4^3 - 581365/1153*c_0110_4^2 + 2540482/1153*c_0110_4 - 543414/1153, c_0101_5 - 696648/1153*c_0110_4^13 - 3154654/1153*c_0110_4^12 - 1668001/1153*c_0110_4^11 - 18303657/1153*c_0110_4^10 + 38393294/1153*c_0110_4^9 - 7617956/1153*c_0110_4^8 - 30436168/1153*c_0110_4^7 + 63331678/1153*c_0110_4^6 - 26492637/1153*c_0110_4^5 - 40374025/1153*c_0110_4^4 + 30892262/1153*c_0110_4^3 + 3022308/1153*c_0110_4^2 - 6736898/1153*c_0110_4 + 1326815/1153, c_0110_4^14 + 4*c_0110_4^13 + 25*c_0110_4^11 - 69*c_0110_4^10 + 40*c_0110_4^9 + 38*c_0110_4^8 - 114*c_0110_4^7 + 86*c_0110_4^6 + 38*c_0110_4^5 - 75*c_0110_4^4 + 19*c_0110_4^3 + 12*c_0110_4^2 - 7*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB