Magma V2.19-8 Tue Aug 20 2013 16:19:20 on localhost [Seed = 2783197348] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3441 geometric_solution 6.61163486 oriented_manifold CS_known 0.0000000000000005 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 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 0.647335257212 0.549172934517 0 5 5 6 0132 0132 3120 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441383291992 0.778944397371 4 0 5 3 1230 0132 2103 1230 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 -1 0 1 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 0.827922770864 1.289249313767 2 3 3 0 3012 1230 3012 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 1.101714053961 0.762069304159 6 2 0 6 1302 3012 0132 0213 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 -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 0.974660542501 1.063440876756 2 1 1 6 2103 0132 3120 2310 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 -1 0 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 0.441383291992 0.778944397371 5 4 1 4 3201 2031 0132 0213 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 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 0.404548682758 1.425006351780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0110_4']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_4']), '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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 25/11*c_0110_4^6 + 57/11*c_0110_4^5 + 20/11*c_0110_4^4 - 26/11*c_0110_4^3 + 59/11*c_0110_4^2 - 73/11*c_0110_4 - 6/11, c_0011_0 - 1, c_0011_3 + 8/11*c_0101_2*c_0110_4^6 - 20/11*c_0101_2*c_0110_4^5 - 2/11*c_0101_2*c_0110_4^4 + 7/11*c_0101_2*c_0110_4^3 - 18/11*c_0101_2*c_0110_4^2 + 26/11*c_0101_2*c_0110_4 + 5/11*c_0101_2, c_0011_6 - c_0101_2, c_0101_0 - c_0101_2*c_0110_4^6 + 3*c_0101_2*c_0110_4^5 - c_0101_2*c_0110_4^4 - c_0101_2*c_0110_4^3 + 2*c_0101_2*c_0110_4^2 - 3*c_0101_2*c_0110_4, c_0101_2^2 - 2/11*c_0110_4^6 + 5/11*c_0110_4^5 - 5/11*c_0110_4^4 + 12/11*c_0110_4^3 - 1/11*c_0110_4^2 - 12/11*c_0110_4 + 7/11, c_0101_3 - 3/11*c_0110_4^6 + 13/11*c_0110_4^5 - 13/11*c_0110_4^4 - 4/11*c_0110_4^3 + 4/11*c_0110_4^2 - 7/11*c_0110_4 + 5/11, c_0110_4^7 - 3*c_0110_4^6 + c_0110_4^5 + c_0110_4^4 - 2*c_0110_4^3 + 3*c_0110_4^2 - c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB