Magma V2.19-8 Tue Aug 20 2013 16:18:07 on localhost [Seed = 2227509313] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2339 geometric_solution 5.72282595 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 1 -1 1 0 0 -1 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 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 0.824817836034 0.935311130799 3 0 2 4 0132 0132 1302 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 -1 0 1 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 0.441962545762 0.653082863124 1 4 3 0 2031 2310 2310 0132 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441962545762 0.653082863124 1 2 5 5 0132 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.904335214262 0.501469795995 6 6 1 2 0132 3201 0132 3201 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 -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 0 0 0.283030217542 0.497090548247 6 3 6 3 1302 2310 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0.135006750612 1.519201632612 4 5 4 5 0132 2031 2310 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.864993249388 1.519201632612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_5']), '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_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_6']), '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_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 125/16*c_0101_3^3 + 45/2*c_0101_3, c_0011_0 - 1, c_0011_2 + 5/8*c_0101_3^3 - c_0101_3, c_0011_4 + 5/8*c_0101_3^3 - c_0101_3, c_0011_5 - 1, c_0101_0 + 5/4*c_0101_3^2 - 2, c_0101_3^4 - 4*c_0101_3^2 + 16/5, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 220395/64*c_0101_3*c_0101_6^6 + 1006371/64*c_0101_3*c_0101_6^5 - 2056863/64*c_0101_3*c_0101_6^4 + 2604745/64*c_0101_3*c_0101_6^3 - 995879/32*c_0101_3*c_0101_6^2 + 1077083/64*c_0101_3*c_0101_6 - 188929/64*c_0101_3, c_0011_0 - 1, c_0011_2 - 845/32*c_0101_3*c_0101_6^6 + 3861/32*c_0101_3*c_0101_6^5 - 7897/32*c_0101_3*c_0101_6^4 + 9983/32*c_0101_3*c_0101_6^3 - 3793/16*c_0101_3*c_0101_6^2 + 4061/32*c_0101_3*c_0101_6 - 679/32*c_0101_3, c_0011_4 - 555/32*c_0101_3*c_0101_6^6 + 2499/32*c_0101_3*c_0101_6^5 - 5055/32*c_0101_3*c_0101_6^4 + 6409/32*c_0101_3*c_0101_6^3 - 2455/16*c_0101_3*c_0101_6^2 + 2683/32*c_0101_3*c_0101_6 - 449/32*c_0101_3, c_0011_5 - c_0101_6, c_0101_0 - 325/16*c_0101_6^6 + 1485/16*c_0101_6^5 - 3025/16*c_0101_6^4 + 3799/16*c_0101_6^3 - 1433/8*c_0101_6^2 + 1525/16*c_0101_6 - 255/16, c_0101_3^2 - 135/28*c_0101_6^6 + 603/28*c_0101_6^5 - 1203/28*c_0101_6^4 + 1489/28*c_0101_6^3 - 79/2*c_0101_6^2 + 81/4*c_0101_6 - 81/28, c_0101_6^7 - 24/5*c_0101_6^6 + 52/5*c_0101_6^5 - 14*c_0101_6^4 + 59/5*c_0101_6^3 - 7*c_0101_6^2 + 2*c_0101_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB