Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 492601382] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2393 geometric_solution 5.75946000 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -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 0.911797414495 0.863214581840 0 3 4 2 0132 0132 0132 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015673230034 0.859069817739 5 1 0 6 0132 1302 0132 0132 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 -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 0.667335108508 0.466508369347 6 1 3 3 3201 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015673230034 0.859069817739 5 6 6 1 2031 2031 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.661203461918 0.302991001685 2 5 4 5 0132 1302 1302 2031 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 0 0 0 0 0.654613529049 0.400677398488 4 4 2 3 1302 1230 0132 2310 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 -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 0.588723768718 0.875759786871 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : 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_2']), '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_1001_6'], 'c_1010_1' : d['c_0011_2'], '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_6, c_0101_0, c_0101_1, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 661452381/13327*c_1001_6^6 + 545057547/26654*c_1001_6^5 - 388966004/13327*c_1001_6^4 - 263407105/13327*c_1001_6^3 + 829108082/13327*c_1001_6^2 - 1306526493/26654*c_1001_6 + 1866660977/26654, c_0011_0 - 1, c_0011_2 - 3429/13327*c_1001_6^6 + 14697/26654*c_1001_6^5 + 6597/13327*c_1001_6^4 - 2077/13327*c_1001_6^3 + 10066/13327*c_1001_6^2 - 7725/26654*c_1001_6 + 7331/26654, c_0011_4 - 14499/26654*c_1001_6^6 - 14733/26654*c_1001_6^5 - 3210/13327*c_1001_6^4 + 12871/13327*c_1001_6^3 - 16517/26654*c_1001_6^2 + 9752/13327*c_1001_6 + 9675/26654, c_0011_6 + 21825/26654*c_1001_6^6 - 2541/26654*c_1001_6^5 + 9175/13327*c_1001_6^4 + 8901/13327*c_1001_6^3 - 14713/26654*c_1001_6^2 + 5340/13327*c_1001_6 - 1311/26654, c_0101_0 - 14472/13327*c_1001_6^6 + 2529/26654*c_1001_6^5 - 8046/13327*c_1001_6^4 - 5303/13327*c_1001_6^3 + 21286/13327*c_1001_6^2 - 24523/26654*c_1001_6 + 24749/26654, c_0101_1 + 10269/26654*c_1001_6^6 - 6360/13327*c_1001_6^5 - 2690/13327*c_1001_6^4 + 15685/13327*c_1001_6^3 - 15419/26654*c_1001_6^2 + 26101/26654*c_1001_6 + 1376/13327, c_1001_6^7 - 1/3*c_1001_6^6 + 5/9*c_1001_6^5 + 4/9*c_1001_6^4 - 11/9*c_1001_6^3 + 8/9*c_1001_6^2 - 4/3*c_1001_6 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB