Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 1124261792] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0631 geometric_solution 4.62501130 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.566200290082 0.088262833675 0 0 2 2 0132 2310 2310 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 -1 0 0 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 2.900822215659 0.926921196312 3 1 1 4 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 1 0 -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 0 0 0 0 -0.090200748874 0.836114002401 2 4 4 5 0132 2310 1302 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 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 0.176563144296 0.658132934819 3 5 2 3 2031 1023 0132 3201 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 -1 1 0 1 0 -1 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 0.176563144296 0.658132934819 4 6 3 6 1023 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 -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 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.376629826775 0.566356895653 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 0 -1 1 -1 0 0 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 0.493694138082 0.439646286692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_6'], '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_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 24195967571580439497704/248236033459876277879*c_0110_6^16 - 1487437189442319194391356/248236033459876277879*c_0110_6^14 + 20362448062984713566512141/248236033459876277879*c_0110_6^12 - 78785986104643020883855088/248236033459876277879*c_0110_6^10 + 122309718059318990798887824/248236033459876277879*c_0110_6^8 - 83907286953910772341140675/248236033459876277879*c_0110_6^6 + 27140165063779746464998452/248236033459876277879*c_0110_6^4 - 5589946061360548349288634/248236033459876277879*c_0110_6^2 + 87781696986113976287339/248236033459876277879, c_0011_0 - 1, c_0011_2 + 1449662087028548104/35462290494268039697*c_0110_6^16 - 89217062067318464972/35462290494268039697*c_0110_6^14 + 1226454662005813202529/35462290494268039697*c_0110_6^12 - 4824991513800091758924/35462290494268039697*c_0110_6^10 + 7919581893997159698432/35462290494268039697*c_0110_6^8 - 6364276423139820770947/35462290494268039697*c_0110_6^6 + 2827566988217760617932/35462290494268039697*c_0110_6^4 - 695873364919425518380/35462290494268039697*c_0110_6^2 + 34747150622931312920/35462290494268039697, c_0011_4 + 24220724338144629440/35462290494268039697*c_0110_6^17 - 1488837168971512303504/35462290494268039697*c_0110_6^15 + 20375842818366796595856/35462290494268039697*c_0110_6^13 - 78767579257698714446974/35462290494268039697*c_0110_6^11 + 122093685630303139382854/35462290494268039697*c_0110_6^9 - 83662985775808894213159/35462290494268039697*c_0110_6^7 + 27268032024926799159295/35462290494268039697*c_0110_6^5 - 5760627129846340823763/35462290494268039697*c_0110_6^3 + 84850177151848126893/35462290494268039697*c_0110_6, c_0101_0 + 11508522456573593752/35462290494268039697*c_0110_6^17 - 707460865242493114020/35462290494268039697*c_0110_6^15 + 9684088815963482726155/35462290494268039697*c_0110_6^13 - 37469136234438536044024/35462290494268039697*c_0110_6^11 + 58279006764240946757323/35462290494268039697*c_0110_6^9 - 40388579111252651235345/35462290494268039697*c_0110_6^7 + 13592933715556411263354/35462290494268039697*c_0110_6^5 - 3110267346681544188011/35462290494268039697*c_0110_6^3 + 198549574286595906171/35462290494268039697*c_0110_6, c_0101_1 - 27654634414313278336/35462290494268039697*c_0110_6^17 + 1701541663145391738600/35462290494268039697*c_0110_6^15 - 23364481012044802990564/35462290494268039697*c_0110_6^13 + 91302749428174669917417/35462290494268039697*c_0110_6^11 - 144692972390930617609251/35462290494268039697*c_0110_6^9 + 103540236257940122997340/35462290494268039697*c_0110_6^7 - 36079136263390174691259/35462290494268039697*c_0110_6^5 + 7783765349636590794709/35462290494268039697*c_0110_6^3 - 364700375924013760203/35462290494268039697*c_0110_6, c_0101_6 - 2947347670841783920/35462290494268039697*c_0110_6^16 + 181157812352041792240/35462290494268039697*c_0110_6^14 - 2478573504963055913954/35462290494268039697*c_0110_6^12 + 9571651763598007950525/35462290494268039697*c_0110_6^10 - 14792362537449187854721/35462290494268039697*c_0110_6^8 + 10025871129139828326978/35462290494268039697*c_0110_6^6 - 3080914036728670851736/35462290494268039697*c_0110_6^4 + 532749474062634400788/35462290494268039697*c_0110_6^2 - 3351113590674903851/35462290494268039697, c_0110_6^18 - 123/2*c_0110_6^16 + 6745/8*c_0110_6^14 - 6555/2*c_0110_6^12 + 41097/8*c_0110_6^10 - 28757/8*c_0110_6^8 + 2417/2*c_0110_6^6 - 2075/8*c_0110_6^4 + 19/2*c_0110_6^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB