Magma V2.19-8 Tue Aug 20 2013 16:14:49 on localhost [Seed = 3297073323] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s797 geometric_solution 5.34381645 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.319976646125 0.288910237145 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 -1 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 0.958369057398 1.265589308684 1 4 5 3 0132 0132 0132 1230 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 -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 0.731677189321 0.915200455311 2 5 4 1 3012 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 0 0 0 0 0 -1 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 0.731677189321 0.915200455311 4 2 4 3 2031 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518479624752 0.374126196144 5 5 3 2 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712764169057 1.195833073615 ==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' : negation(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' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 7683849/907648*c_0101_3^20 + 88701429/907648*c_0101_3^18 - 312360931/907648*c_0101_3^16 + 633204185/907648*c_0101_3^14 - 441495735/453824*c_0101_3^12 - 172226343/226912*c_0101_3^10 + 174367491/226912*c_0101_3^8 + 185362845/226912*c_0101_3^6 + 633031/8104*c_0101_3^4 - 7482303/64832*c_0101_3^2 - 14031527/453824, c_0011_0 - 1, c_0011_1 + 471515/907648*c_0101_3^20 - 5716355/907648*c_0101_3^18 + 22352753/907648*c_0101_3^16 - 7183561/129664*c_0101_3^14 + 38764473/453824*c_0101_3^12 + 363219/32416*c_0101_3^10 - 17091509/226912*c_0101_3^8 - 2447535/226912*c_0101_3^6 + 115875/7091*c_0101_3^4 + 1758035/453824*c_0101_3^2 - 1054071/453824, c_0011_3 + 85483/226912*c_0101_3^20 - 124757/28364*c_0101_3^18 + 3577667/226912*c_0101_3^16 - 63951/2026*c_0101_3^14 + 2334649/56728*c_0101_3^12 + 351259/8104*c_0101_3^10 - 460666/7091*c_0101_3^8 - 1265625/56728*c_0101_3^6 + 587523/56728*c_0101_3^4 + 603005/113456*c_0101_3^2 - 55775/56728, c_0011_5 + 118123/907648*c_0101_3^20 - 1199279/907648*c_0101_3^18 + 2697945/907648*c_0101_3^16 - 519963/907648*c_0101_3^14 - 5062411/453824*c_0101_3^12 + 13332645/226912*c_0101_3^10 - 8824825/226912*c_0101_3^8 - 5010087/226912*c_0101_3^6 + 87805/56728*c_0101_3^4 + 3148795/453824*c_0101_3^2 - 356187/453824, c_0101_0 - 167057/129664*c_0101_3^21 + 14444355/907648*c_0101_3^19 - 58972493/907648*c_0101_3^17 + 141123903/907648*c_0101_3^15 - 118430849/453824*c_0101_3^13 + 14834663/226912*c_0101_3^11 + 25842149/226912*c_0101_3^9 + 5346995/226912*c_0101_3^7 - 1507659/56728*c_0101_3^5 - 1325431/453824*c_0101_3^3 + 117135/453824*c_0101_3, c_0101_3^22 - 12*c_0101_3^20 + 46*c_0101_3^18 - 102*c_0101_3^16 + 157*c_0101_3^14 + 26*c_0101_3^12 - 112*c_0101_3^10 - 64*c_0101_3^8 + 28*c_0101_3^6 + 18*c_0101_3^4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB