Magma V2.19-8 Tue Aug 20 2013 16:18:17 on localhost [Seed = 1427425377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2495 geometric_solution 5.81876297 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 0 -1 0 0 1 -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 0.296260078095 0.826692360156 0 3 3 4 0132 0132 2031 0132 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.615840498660 1.071969355039 5 6 5 0 0132 0132 0321 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 0.501858731733 0.380970333122 5 1 6 1 1230 0132 0321 1302 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 0.568342917802 0.883862435433 5 6 1 6 3201 1302 0132 2310 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439124421661 0.422799633293 2 3 2 4 0132 3012 0321 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.321866743732 1.287316376086 4 2 3 4 3201 0132 0321 2031 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 1.566630507912 0.571919288850 ==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_0110_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), '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_0011_0']), 'c_1001_4' : d['c_0110_6'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : d['c_0011_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_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4/3*c_0101_1*c_0110_6^6 + 7/3*c_0101_1*c_0110_6^5 + 1/3*c_0101_1*c_0110_6^4 - 7*c_0101_1*c_0110_6^3 - 8*c_0101_1*c_0110_6^2 - 7/3*c_0101_1*c_0110_6 + c_0101_1, c_0011_0 - 1, c_0011_2 - 2/3*c_0101_1*c_0110_6^6 - 2/3*c_0101_1*c_0110_6^5 + 1/3*c_0101_1*c_0110_6^4 + 3*c_0101_1*c_0110_6^3 + 2*c_0101_1*c_0110_6^2 - 1/3*c_0101_1*c_0110_6, c_0011_4 + 1/3*c_0101_1*c_0110_6^5 + 1/3*c_0101_1*c_0110_6^4 - 2/3*c_0101_1*c_0110_6^3 - 2*c_0101_1*c_0110_6^2 + 5/3*c_0101_1, c_0101_0 - 1/3*c_0110_6^6 + 1/3*c_0110_6^5 + 1/3*c_0110_6^4 + 2/3*c_0110_6^3 - 2*c_0110_6^2 + 1/3*c_0110_6 + 4/3, c_0101_1^2 - 1/3*c_0110_6^6 + 1/3*c_0110_6^5 + 1/3*c_0110_6^4 + 2/3*c_0110_6^3 - 2*c_0110_6^2 + 1/3*c_0110_6 + 1/3, c_0101_3 + 1/3*c_0110_6^6 - 4/3*c_0110_6^3 - 1/3*c_0110_6 + 1/3, c_0110_6^7 + c_0110_6^6 - c_0110_6^5 - 5*c_0110_6^4 - 2*c_0110_6^3 + 2*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB