Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 2513701233] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0622 geometric_solution 4.62246602 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559646701392 0.337220213390 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 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 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 0.689112229063 0.789887357054 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 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 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 0.689112229063 0.789887357054 4 2 1 4 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498295721877 0.465436784068 3 5 5 3 0132 0132 1023 1023 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 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 1.212359442277 0.369476335704 6 4 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -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 -1 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 1.183271536027 0.112558075560 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 -1 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 1 -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 1.145194544401 0.061741194873 ==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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 37304877/4728904*c_0101_6^10 + 6614591/591113*c_0101_6^9 - 107581181/1182226*c_0101_6^8 + 600400965/4728904*c_0101_6^7 + 80658031/591113*c_0101_6^6 - 1906909315/4728904*c_0101_6^5 - 560805247/4728904*c_0101_6^4 + 1360476211/4728904*c_0101_6^3 + 85176072/591113*c_0101_6^2 - 81253637/2364452*c_0101_6 - 89471851/4728904, c_0011_0 - 1, c_0011_3 - 46225/2364452*c_0101_1*c_0101_6^10 + 29582/591113*c_0101_1*c_0101_6^9 + 230197/591113*c_0101_1*c_0101_6^8 - 2492457/2364452*c_0101_1*c_0101_6^7 + 298340/591113*c_0101_1*c_0101_6^6 + 5801387/2364452*c_0101_1*c_0101_6^5 - 5471829/2364452*c_0101_1*c_0101_6^4 - 5179267/2364452*c_0101_1*c_0101_6^3 - 866242/591113*c_0101_1*c_0101_6^2 + 470663/1182226*c_0101_1*c_0101_6 + 1754811/2364452*c_0101_1, c_0101_0 + 1100261/2364452*c_0101_6^10 + 281866/591113*c_0101_6^9 - 3209918/591113*c_0101_6^8 + 23108721/2364452*c_0101_6^7 + 1636107/591113*c_0101_6^6 - 53086707/2364452*c_0101_6^5 + 6496609/2364452*c_0101_6^4 + 24097739/2364452*c_0101_6^3 + 2711895/591113*c_0101_6^2 - 2327711/1182226*c_0101_6 + 661073/2364452, c_0101_1^2 - 652157/591113*c_0101_6^10 - 591360/591113*c_0101_6^9 + 7757620/591113*c_0101_6^8 - 14540664/591113*c_0101_6^7 - 3056808/591113*c_0101_6^6 + 33501956/591113*c_0101_6^5 - 7879438/591113*c_0101_6^4 - 16335880/591113*c_0101_6^3 - 4357316/591113*c_0101_6^2 + 3588524/591113*c_0101_6 - 454596/591113, c_0101_4 + 731071/1182226*c_0101_6^10 + 339076/591113*c_0101_6^9 - 4317505/591113*c_0101_6^8 + 16280739/1182226*c_0101_6^7 + 1719041/591113*c_0101_6^6 - 37559865/1182226*c_0101_6^5 + 9774657/1182226*c_0101_6^4 + 18033257/1182226*c_0101_6^3 + 779179/591113*c_0101_6^2 - 2189337/591113*c_0101_6 + 273835/1182226, c_0101_5 + 609641/2364452*c_0101_6^10 + 140854/591113*c_0101_6^9 - 1799341/591113*c_0101_6^8 + 13723249/2364452*c_0101_6^7 + 748578/591113*c_0101_6^6 - 32336895/2364452*c_0101_6^5 + 9459233/2364452*c_0101_6^4 + 16475247/2364452*c_0101_6^3 - 227945/591113*c_0101_6^2 - 3598463/1182226*c_0101_6 + 331685/2364452, c_0101_6^11 + c_0101_6^10 - 12*c_0101_6^9 + 21*c_0101_6^8 + 9*c_0101_6^7 - 55*c_0101_6^6 + 6*c_0101_6^5 + 36*c_0101_6^4 + 7*c_0101_6^3 - 10*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB