Magma V2.19-8 Tue Aug 20 2013 16:18:10 on localhost [Seed = 458917408] 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' : 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_0'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : 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 - 20071421489/279469*c_1001_6^6 + 106833714457/558938*c_1001_6^5 - 5773397583/279469*c_1001_6^4 - 63387899733/279469*c_1001_6^3 + 45388118666/279469*c_1001_6^2 - 121355548703/558938*c_1001_6 + 108267682481/558938, c_0011_0 - 1, c_0011_2 - 8981/5273*c_1001_6^6 + 18759/10546*c_1001_6^5 + 12152/5273*c_1001_6^4 - 5981/5273*c_1001_6^3 + 11328/5273*c_1001_6^2 - 32103/10546*c_1001_6 + 39/10546, c_0011_4 + 23793/10546*c_1001_6^6 - 43707/10546*c_1001_6^5 - 10865/5273*c_1001_6^4 + 20727/5273*c_1001_6^3 - 35777/10546*c_1001_6^2 + 30077/5273*c_1001_6 - 4739/10546, c_0011_6 + 32753/10546*c_1001_6^6 - 38795/10546*c_1001_6^5 - 26770/5273*c_1001_6^4 + 17521/5273*c_1001_6^3 - 17553/10546*c_1001_6^2 + 30119/5273*c_1001_6 - 2909/10546, c_0101_0 - 8813/5273*c_1001_6^6 + 11561/10546*c_1001_6^5 + 16499/5273*c_1001_6^4 - 1751/5273*c_1001_6^3 + 1651/5273*c_1001_6^2 - 19181/10546*c_1001_6 - 8461/10546, c_0101_1 + 47705/10546*c_1001_6^6 - 31909/5273*c_1001_6^5 - 31066/5273*c_1001_6^4 + 31747/5273*c_1001_6^3 - 40399/10546*c_1001_6^2 + 86875/10546*c_1001_6 - 3388/5273, c_1001_6^7 - 19/7*c_1001_6^6 + 3/7*c_1001_6^5 + 22/7*c_1001_6^4 - 17/7*c_1001_6^3 + 22/7*c_1001_6^2 - 20/7*c_1001_6 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB