Magma V2.19-8 Tue Aug 20 2013 16:16:40 on localhost [Seed = 3465499140] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0965 geometric_solution 4.85997549 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 -2 1 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 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 1.701482328764 1.916881021605 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 0 0 -2 0 2 -1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488592349877 0.353538545904 0 2 2 0 3201 1230 3012 0132 0 0 0 0 0 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.240168697825 0.197107788516 5 1 5 6 0132 0132 1230 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 -1 0 0 -1 2 -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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506999931640 0.319597649211 5 6 6 1 2103 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.586318132857 0.828926138712 3 6 4 3 0132 0321 2103 3012 0 0 0 0 0 -1 0 1 0 0 0 0 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 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 0.069909075289 1.726711555364 4 4 3 5 2103 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740705936740 0.418471125826 ==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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(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_4'], 'c_0011_6' : negation(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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), '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_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 5397936/1389325*c_1001_1^6 + 18776752/1389325*c_1001_1^5 - 4860996/198475*c_1001_1^4 + 45988156/1389325*c_1001_1^3 - 40623721/1389325*c_1001_1^2 + 33929827/1389325*c_1001_1 - 18148632/1389325, c_0011_0 - 1, c_0011_2 - 1408/7939*c_1001_1^6 - 4192/7939*c_1001_1^5 + 7968/7939*c_1001_1^4 - 9268/7939*c_1001_1^3 + 10968/7939*c_1001_1^2 - 7249/7939*c_1001_1 + 6387/7939, c_0011_4 - 58864/39695*c_0101_4*c_1001_1^6 + 168288/39695*c_0101_4*c_1001_1^5 - 278908/39695*c_0101_4*c_1001_1^4 + 351944/39695*c_0101_4*c_1001_1^3 - 329589/39695*c_0101_4*c_1001_1^2 + 267558/39695*c_0101_4*c_1001_1 - 110353/39695*c_0101_4, c_0101_0 - 20528/7939*c_1001_1^6 + 51472/7939*c_1001_1^5 - 80140/7939*c_1001_1^4 + 91860/7939*c_1001_1^3 - 79705/7939*c_1001_1^2 + 56070/7939*c_1001_1 - 21184/7939, c_0101_1 + 10112/7939*c_1001_1^6 - 27632/7939*c_1001_1^5 + 46704/7939*c_1001_1^4 - 57576/7939*c_1001_1^3 + 58358/7939*c_1001_1^2 - 43207/7939*c_1001_1 + 16920/7939, c_0101_4^2 + 5056/7939*c_1001_1^6 - 13816/7939*c_1001_1^5 + 23352/7939*c_1001_1^4 - 28788/7939*c_1001_1^3 + 29179/7939*c_1001_1^2 - 17634/7939*c_1001_1 + 521/7939, c_1001_1^7 - 3*c_1001_1^6 + 21/4*c_1001_1^5 - 27/4*c_1001_1^4 + 107/16*c_1001_1^3 - 83/16*c_1001_1^2 + 11/4*c_1001_1 - 7/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB