Magma V2.19-8 Tue Aug 20 2013 16:14:17 on localhost [Seed = 2446331313] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s267 geometric_solution 4.43518017 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 3012 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 -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 0.491521298645 1.419564487390 0 3 4 4 0132 0132 2310 0132 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 -1 0 1 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 -0.672724989735 1.434498403493 5 0 5 3 0132 0132 1023 2310 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 0 0 0 0 0 0 0 0.495604866335 0.387228878643 2 1 0 0 3201 0132 1230 0132 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 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 0.491521298645 1.419564487390 4 1 1 4 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 -0.026182742850 0.543000380937 2 5 2 5 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557867201452 0.081504103480 ==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_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_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_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], '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_0'], 'c_0011_4' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 4103746/713871*c_0101_3^12 + 44197888/713871*c_0101_3^11 + 56596867/237957*c_0101_3^10 + 226686178/713871*c_0101_3^9 - 20853748/79319*c_0101_3^8 - 811182181/713871*c_0101_3^7 - 538992002/713871*c_0101_3^6 + 530035670/713871*c_0101_3^5 + 858984736/713871*c_0101_3^4 + 182396755/713871*c_0101_3^3 - 85188637/237957*c_0101_3^2 - 117701962/713871*c_0101_3 - 4648115/713871, c_0011_0 - 1, c_0011_4 + 12747/79319*c_0101_3^12 + 98561/79319*c_0101_3^11 + 164387/79319*c_0101_3^10 - 396172/79319*c_0101_3^9 - 1218735/79319*c_0101_3^8 + 99069/79319*c_0101_3^7 + 2434457/79319*c_0101_3^6 + 1120763/79319*c_0101_3^5 - 2013932/79319*c_0101_3^4 - 1531645/79319*c_0101_3^3 + 717197/79319*c_0101_3^2 + 627113/79319*c_0101_3 - 131767/79319, c_0101_0 - 6895/79319*c_0101_3^12 - 67382/79319*c_0101_3^11 - 211970/79319*c_0101_3^10 - 107512/79319*c_0101_3^9 + 649166/79319*c_0101_3^8 + 1024602/79319*c_0101_3^7 - 240945/79319*c_0101_3^6 - 1457922/79319*c_0101_3^5 - 697126/79319*c_0101_3^4 + 589003/79319*c_0101_3^3 + 562886/79319*c_0101_3^2 + 4895/79319*c_0101_3 - 78565/79319, c_0101_1 + 2847/79319*c_0101_3^12 + 23152/79319*c_0101_3^11 + 55831/79319*c_0101_3^10 + 15794/79319*c_0101_3^9 - 75667/79319*c_0101_3^8 - 70577/79319*c_0101_3^7 - 143243/79319*c_0101_3^6 - 213704/79319*c_0101_3^5 + 38411/79319*c_0101_3^4 + 398814/79319*c_0101_3^3 + 284137/79319*c_0101_3^2 - 127183/79319*c_0101_3 - 150471/79319, c_0101_2 - 9133/79319*c_0101_3^12 - 89092/79319*c_0101_3^11 - 279679/79319*c_0101_3^10 - 133217/79319*c_0101_3^9 + 902473/79319*c_0101_3^8 + 1372367/79319*c_0101_3^7 - 576090/79319*c_0101_3^6 - 2231228/79319*c_0101_3^5 - 578378/79319*c_0101_3^4 + 1296867/79319*c_0101_3^3 + 689485/79319*c_0101_3^2 - 281860/79319*c_0101_3 - 105964/79319, c_0101_3^13 + 10*c_0101_3^12 + 33*c_0101_3^11 + 22*c_0101_3^10 - 96*c_0101_3^9 - 178*c_0101_3^8 + 25*c_0101_3^7 + 281*c_0101_3^6 + 148*c_0101_3^5 - 155*c_0101_3^4 - 153*c_0101_3^3 + 17*c_0101_3^2 + 43*c_0101_3 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB