Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 1141233795] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0417 geometric_solution 4.47765991 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0213 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 1 -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 0.245365644840 0.677663576312 0 2 3 0 0132 2310 1023 0213 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 -1 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 0.245365644840 0.677663576312 4 0 4 1 0132 0132 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 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 -0.283629501376 2.691301136850 5 5 1 0 0132 2310 1023 0132 0 0 0 0 0 -1 1 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 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 0 0 0 0 0.634122262930 1.110361776319 2 2 6 6 0132 3201 0132 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 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 0.232585525597 0.122504457593 3 5 5 3 0132 3201 2310 3201 0 0 0 0 0 -1 1 0 -1 0 1 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 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 -0.764819399812 0.443970436193 6 4 6 4 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.893389688830 0.468147456651 ==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_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_4']})} 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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 474/5*c_0101_4^13 + 1708/5*c_0101_4^12 - 2589/5*c_0101_4^11 + 3872/5*c_0101_4^10 + 959/5*c_0101_4^9 - 11172/5*c_0101_4^8 + 3756/5*c_0101_4^7 + 4321/5*c_0101_4^6 - 6936/5*c_0101_4^5 + 3009/5*c_0101_4^4 + 3814/5*c_0101_4^3 - 2291/5*c_0101_4^2 - 679/5*c_0101_4 + 351/5, c_0011_0 - 1, c_0011_3 + 528*c_0101_4^13 - 1942*c_0101_4^12 + 2900*c_0101_4^11 - 4076*c_0101_4^10 - 1463*c_0101_4^9 + 13668*c_0101_4^8 - 5039*c_0101_4^7 - 7160*c_0101_4^6 + 9075*c_0101_4^5 - 3504*c_0101_4^4 - 5550*c_0101_4^3 + 3764*c_0101_4^2 + 1152*c_0101_4 - 782, c_0011_6 - 145*c_0101_4^13 + 536*c_0101_4^12 - 807*c_0101_4^11 + 1138*c_0101_4^10 + 372*c_0101_4^9 - 3746*c_0101_4^8 + 1440*c_0101_4^7 + 1928*c_0101_4^6 - 2497*c_0101_4^5 + 997*c_0101_4^4 + 1496*c_0101_4^3 - 1042*c_0101_4^2 - 306*c_0101_4 + 214, c_0101_0 + 347*c_0101_4^13 - 1275*c_0101_4^12 + 1900*c_0101_4^11 - 2667*c_0101_4^10 - 980*c_0101_4^9 + 8993*c_0101_4^8 - 3283*c_0101_4^7 - 4742*c_0101_4^6 + 5968*c_0101_4^5 - 2284*c_0101_4^4 - 3672*c_0101_4^3 + 2476*c_0101_4^2 + 766*c_0101_4 - 516, c_0101_2 - 181*c_0101_4^13 + 664*c_0101_4^12 - 986*c_0101_4^11 + 1380*c_0101_4^10 + 530*c_0101_4^9 - 4705*c_0101_4^8 + 1695*c_0101_4^7 + 2508*c_0101_4^6 - 3129*c_0101_4^5 + 1176*c_0101_4^4 + 1938*c_0101_4^3 - 1300*c_0101_4^2 - 406*c_0101_4 + 274, c_0101_3 + 395*c_0101_4^13 - 1451*c_0101_4^12 + 2164*c_0101_4^11 - 3043*c_0101_4^10 - 1104*c_0101_4^9 + 10213*c_0101_4^8 - 3729*c_0101_4^7 - 5348*c_0101_4^6 + 6769*c_0101_4^5 - 2603*c_0101_4^4 - 4151*c_0101_4^3 + 2796*c_0101_4^2 + 862*c_0101_4 - 580, c_0101_4^14 - 3*c_0101_4^13 + 3*c_0101_4^12 - 4*c_0101_4^11 - 8*c_0101_4^10 + 24*c_0101_4^9 + 8*c_0101_4^8 - 20*c_0101_4^7 + 8*c_0101_4^6 + 5*c_0101_4^5 - 15*c_0101_4^4 + 7*c_0101_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB