Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 2901225539] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1927 geometric_solution 5.52432888 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.611083293793 1.778043289912 0 5 6 4 0132 0132 0132 2031 0 0 0 0 0 -1 1 0 0 0 -1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857465399842 0.683782969399 5 0 3 6 3201 0132 1302 0132 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 0 -1 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 0 0 0 0.857465399842 0.683782969399 2 4 5 0 2031 3012 3120 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 -0.257038198390 0.381031378085 3 1 0 5 1230 1302 0132 3120 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 -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 -0.257038198390 0.381031378085 4 1 3 2 3120 0132 3120 2310 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700064869727 0.260370692934 6 6 2 1 1302 2031 0132 0132 0 0 0 0 0 1 0 -1 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 1 -1 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 0.565800610407 0.986196192495 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_4'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_4'], '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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 127816/66843*c_0101_1*c_0101_5^5 + 66524/9549*c_0101_1*c_0101_5^4 + 507263/44562*c_0101_1*c_0101_5^3 + 1030129/133686*c_0101_1*c_0101_5^2 + 5788/1061*c_0101_1*c_0101_5 + 174136/66843*c_0101_1, c_0011_0 - 1, c_0011_3 - 1756/3183*c_0101_1*c_0101_5^5 - 6803/3183*c_0101_1*c_0101_5^4 - 3048/1061*c_0101_1*c_0101_5^3 - 3011/3183*c_0101_1*c_0101_5^2 + 618/1061*c_0101_1*c_0101_5 - 2692/3183*c_0101_1, c_0011_4 - 1756/3183*c_0101_1*c_0101_5^5 - 6803/3183*c_0101_1*c_0101_5^4 - 3048/1061*c_0101_1*c_0101_5^3 - 3011/3183*c_0101_1*c_0101_5^2 + 618/1061*c_0101_1*c_0101_5 - 2692/3183*c_0101_1, c_0011_6 + 604/1061*c_0101_5^5 + 2543/1061*c_0101_5^4 + 3747/1061*c_0101_5^3 + 939/1061*c_0101_5^2 - 1167/1061*c_0101_5 + 1564/1061, c_0101_0 - 816/1061*c_0101_5^5 - 3548/1061*c_0101_5^4 - 6608/1061*c_0101_5^3 - 5358/1061*c_0101_5^2 - 1768/1061*c_0101_5 - 1860/1061, c_0101_1^2 - 848/1061*c_0101_5^5 - 4020/1061*c_0101_5^4 - 7200/1061*c_0101_5^3 - 4944/1061*c_0101_5^2 - 69/1061*c_0101_5 - 1184/1061, c_0101_5^6 + 21/4*c_0101_5^5 + 11*c_0101_5^4 + 41/4*c_0101_5^3 + 7/2*c_0101_5^2 + 5/2*c_0101_5 + 7/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB