Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 1966401983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1681 geometric_solution 5.40675919 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 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 -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 0.785727672898 0.855822165305 0 3 2 4 0132 0132 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214335291260 0.877962703621 1 4 0 3 2310 1023 0132 1023 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 -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 0.214335291260 0.877962703621 5 1 5 2 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096385142214 0.924722315438 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 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 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.262421988137 1.074935988564 3 3 6 6 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372872446233 0.235335439470 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.446695047666 0.418356895209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : negation(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' : negation(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_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], '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_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 273255/137707*c_0101_5^18 + 2253103/137707*c_0101_5^16 - 3699187/137707*c_0101_5^14 - 14133614/137707*c_0101_5^12 + 59861335/137707*c_0101_5^10 - 84684751/137707*c_0101_5^8 + 57106726/137707*c_0101_5^6 - 22222211/137707*c_0101_5^4 + 6457548/137707*c_0101_5^2 - 248714/137707, c_0011_0 - 1, c_0011_2 - 93425/137707*c_0101_5^18 + 864265/137707*c_0101_5^16 - 2430171/137707*c_0101_5^14 + 946594/137707*c_0101_5^12 + 5571950/137707*c_0101_5^10 - 7615076/137707*c_0101_5^8 + 2875609/137707*c_0101_5^6 - 633005/137707*c_0101_5^4 + 119789/137707*c_0101_5^2 + 102871/137707, c_0011_6 + 89510/137707*c_0101_5^18 - 1045571/137707*c_0101_5^16 + 4807458/137707*c_0101_5^14 - 11628255/137707*c_0101_5^12 + 17162691/137707*c_0101_5^10 - 17315420/137707*c_0101_5^8 + 11984879/137707*c_0101_5^6 - 4896716/137707*c_0101_5^4 + 1306992/137707*c_0101_5^2 - 292566/137707, c_0101_0 + 205510/137707*c_0101_5^19 - 2354881/137707*c_0101_5^17 + 10291784/137707*c_0101_5^15 - 22056114/137707*c_0101_5^13 + 25382058/137707*c_0101_5^11 - 18100246/137707*c_0101_5^9 + 11127762/137707*c_0101_5^7 - 5439587/137707*c_0101_5^5 + 1083637/137707*c_0101_5^3 - 231256/137707*c_0101_5, c_0101_1 - 1041900/137707*c_0101_5^19 + 11870490/137707*c_0101_5^17 - 51569565/137707*c_0101_5^15 + 109730577/137707*c_0101_5^13 - 123172214/137707*c_0101_5^11 + 76448568/137707*c_0101_5^9 - 30050870/137707*c_0101_5^7 + 8408077/137707*c_0101_5^5 - 1179510/137707*c_0101_5^3 + 193650/137707*c_0101_5, c_0101_3 - 420930/137707*c_0101_5^19 + 5008828/137707*c_0101_5^17 - 23452024/137707*c_0101_5^15 + 56905641/137707*c_0101_5^13 - 80235541/137707*c_0101_5^11 + 71103399/137707*c_0101_5^9 - 41866340/137707*c_0101_5^7 + 16470360/137707*c_0101_5^5 - 4456150/137707*c_0101_5^3 + 839886/137707*c_0101_5, c_0101_5^20 - 58/5*c_0101_5^18 + 52*c_0101_5^16 - 586/5*c_0101_5^14 + 147*c_0101_5^12 - 563/5*c_0101_5^10 + 61*c_0101_5^8 - 126/5*c_0101_5^6 + 36/5*c_0101_5^4 - 8/5*c_0101_5^2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB