Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1882320053] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0270 geometric_solution 4.31597460 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.564821456518 0.317250337713 0 0 2 2 0132 2310 3201 0132 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 -1 0 1 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 0.361289090312 0.152774274592 1 3 1 4 2310 0132 0132 0132 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 0 -1 1 1 0 -1 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 0.602982431785 0.551184556396 4 2 5 5 3201 0132 3201 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.151790997801 1.578984225260 6 6 2 3 0132 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 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 -1.151790997801 1.578984225260 3 6 3 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.127186184614 0.838170199850 4 5 4 5 0132 1302 2310 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 -1 0 1 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 -0.127186184614 0.838170199850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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_4'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), '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_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 280/3*c_0101_3^12 - 97/3*c_0101_3^11 - 1154/3*c_0101_3^10 - 227*c_0101_3^9 - 1360/3*c_0101_3^8 - 1601/3*c_0101_3^7 - 3*c_0101_3^6 - 1427/3*c_0101_3^5 + 293*c_0101_3^4 - 281/3*c_0101_3^3 + 995/3*c_0101_3^2 + 46/3*c_0101_3 + 844/3, c_0011_0 - 1, c_0011_2 - c_0101_3^11 - 3*c_0101_3^9 - c_0101_3^8 - c_0101_3^7 - 3*c_0101_3^6 + 3*c_0101_3^5 - 2*c_0101_3^4 + 3*c_0101_3^3 + 2*c_0101_3 - 1, c_0011_4 - c_0101_3^11 - 3*c_0101_3^9 - c_0101_3^8 - c_0101_3^7 - 3*c_0101_3^6 + 3*c_0101_3^5 - 2*c_0101_3^4 + 2*c_0101_3^3 + 2*c_0101_3 - 1, c_0011_5 + c_0101_3^11 + 3*c_0101_3^9 + c_0101_3^8 + c_0101_3^7 + 3*c_0101_3^6 - 3*c_0101_3^5 + 2*c_0101_3^4 - 2*c_0101_3^3 - 2*c_0101_3 + 1, c_0101_0 - c_0101_3^11 - 2*c_0101_3^9 + c_0101_3^7 - c_0101_3^6 + 3*c_0101_3^5 - 2*c_0101_3^4 + c_0101_3^3 - c_0101_3^2 + c_0101_3 - 1, c_0101_1 + c_0101_3^12 + c_0101_3^11 + 3*c_0101_3^10 + 3*c_0101_3^9 + 2*c_0101_3^8 + 2*c_0101_3^7 - c_0101_3^6 - 2*c_0101_3^4 - 2*c_0101_3^2 - c_0101_3, c_0101_3^13 + 4*c_0101_3^11 + c_0101_3^10 + 4*c_0101_3^9 + 4*c_0101_3^8 - 2*c_0101_3^7 + 5*c_0101_3^6 - 5*c_0101_3^5 + 2*c_0101_3^4 - 4*c_0101_3^3 + c_0101_3^2 - 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB