Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 3137021623] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s531 geometric_solution 4.94095073 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 0 1 0 -1 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 0.470645783812 0.466974743184 0 3 2 4 0132 0132 1230 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 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 0.929311106934 1.062337511705 3 0 4 1 2310 0132 0132 3012 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 -1 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 0 0 0 0.929311106934 1.062337511705 3 1 2 3 3201 0132 3201 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.280278727329 0.823740593920 5 5 1 2 0132 2310 0132 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 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 0.429811969890 1.086667596876 4 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.765010920350 0.520092288076 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), '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_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 72*c_0101_3^14 - 138*c_0101_3^13 + 293*c_0101_3^12 + 183*c_0101_3^11 - 834*c_0101_3^10 - 1127*c_0101_3^9 + 918*c_0101_3^8 + 3298*c_0101_3^7 - 466*c_0101_3^6 - 3534*c_0101_3^5 + 164*c_0101_3^4 + 1606*c_0101_3^3 - 54*c_0101_3^2 - 265*c_0101_3 + 7, c_0011_0 - 1, c_0011_4 + 39*c_0101_3^14 + 46*c_0101_3^13 - 203*c_0101_3^12 + 33*c_0101_3^11 + 480*c_0101_3^10 + 288*c_0101_3^9 - 847*c_0101_3^8 - 1312*c_0101_3^7 + 1437*c_0101_3^6 + 1416*c_0101_3^5 - 1281*c_0101_3^4 - 616*c_0101_3^3 + 527*c_0101_3^2 + 96*c_0101_3 - 80, c_0101_0 - 32*c_0101_3^14 - 64*c_0101_3^13 + 112*c_0101_3^12 + 64*c_0101_3^11 - 328*c_0101_3^10 - 512*c_0101_3^9 + 252*c_0101_3^8 + 1280*c_0101_3^7 - 66*c_0101_3^6 - 1152*c_0101_3^5 - c_0101_3^4 + 448*c_0101_3^3 - 64*c_0101_3, c_0101_1 - 32*c_0101_3^14 - 64*c_0101_3^13 + 112*c_0101_3^12 + 64*c_0101_3^11 - 328*c_0101_3^10 - 512*c_0101_3^9 + 252*c_0101_3^8 + 1280*c_0101_3^7 - 66*c_0101_3^6 - 1152*c_0101_3^5 - c_0101_3^4 + 448*c_0101_3^3 - c_0101_3^2 - 64*c_0101_3, c_0101_2 + c_0101_3^14 + 2*c_0101_3^13 - 4*c_0101_3^12 - 3*c_0101_3^11 + 12*c_0101_3^10 + 17*c_0101_3^9 - 13*c_0101_3^8 - 48*c_0101_3^7 + 6*c_0101_3^6 + 56*c_0101_3^5 - c_0101_3^4 - 32*c_0101_3^3 + 8*c_0101_3, c_0101_3^15 + 2*c_0101_3^14 - 4*c_0101_3^13 - 3*c_0101_3^12 + 12*c_0101_3^11 + 17*c_0101_3^10 - 13*c_0101_3^9 - 48*c_0101_3^8 + 6*c_0101_3^7 + 56*c_0101_3^6 - c_0101_3^5 - 32*c_0101_3^4 + 9*c_0101_3^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB