Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 1916006209] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2722 geometric_solution 5.97175166 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805307871077 0.283337301984 0 4 6 5 0132 0321 0132 0132 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 -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 0 0 0 0 0.781709499707 0.772185076589 2 0 2 4 2031 0132 1302 2031 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 1 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 -2 2 2 -2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659102355714 0.240668574326 6 5 6 0 2310 0321 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663025404353 0.524459616493 5 2 0 1 1302 1302 0132 0321 0 0 0 0 0 1 -1 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 -2 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 0.533215929426 0.958432305498 6 4 1 3 0321 2031 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.337863604191 1.663884124775 5 3 3 1 0321 1230 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 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 0.504305525147 0.778166743933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_2_5' : negation(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' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], '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_0011_0']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0110_2']})} 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_4, c_0011_5, c_0101_0, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1099/151*c_0110_2^12 + 2992/151*c_0110_2^11 - 5300/151*c_0110_2^10 - 18972/151*c_0110_2^9 + 8426/151*c_0110_2^8 + 49414/151*c_0110_2^7 + 519/151*c_0110_2^6 - 58749/151*c_0110_2^5 - 6960/151*c_0110_2^4 + 32300/151*c_0110_2^3 + 177/151*c_0110_2^2 - 7822/151*c_0110_2 + 1526/151, c_0011_0 - 1, c_0011_3 + 2/151*c_0110_2^12 + 49/151*c_0110_2^11 + 64/151*c_0110_2^10 - 321/151*c_0110_2^9 - 476/151*c_0110_2^8 + 879/151*c_0110_2^7 + 1319/151*c_0110_2^6 - 1115/151*c_0110_2^5 - 1561/151*c_0110_2^4 + 704/151*c_0110_2^3 + 634/151*c_0110_2^2 - 279/151*c_0110_2 - 28/151, c_0011_4 - c_0110_2^2 + 1, c_0011_5 - 56/151*c_0110_2^12 - 13/151*c_0110_2^11 + 473/151*c_0110_2^10 + 79/151*c_0110_2^9 - 1621/151*c_0110_2^8 - 150/151*c_0110_2^7 + 2781/151*c_0110_2^6 - 37/151*c_0110_2^5 - 2347/151*c_0110_2^4 + 371/151*c_0110_2^3 + 821/151*c_0110_2^2 - 191/151*c_0110_2 + 29/151, c_0101_0 + 63/151*c_0110_2^12 + 109/151*c_0110_2^11 - 400/151*c_0110_2^10 - 674/151*c_0110_2^9 + 1012/151*c_0110_2^8 + 1641/151*c_0110_2^7 - 1109/151*c_0110_2^6 - 1676/151*c_0110_2^5 + 432/151*c_0110_2^4 + 583/151*c_0110_2^3 + 39/151*c_0110_2^2 - 106/151*c_0110_2 - 127/151, c_0101_3 + 80/151*c_0110_2^12 + 148/151*c_0110_2^11 - 460/151*c_0110_2^10 - 911/151*c_0110_2^9 + 1043/151*c_0110_2^8 + 2242/151*c_0110_2^7 - 996/151*c_0110_2^6 - 2320/151*c_0110_2^5 + 527/151*c_0110_2^4 + 829/151*c_0110_2^3 - 310/151*c_0110_2^2 + 14/151*c_0110_2 - 63/151, c_0110_2^13 + 3*c_0110_2^12 - 4*c_0110_2^11 - 18*c_0110_2^10 + 4*c_0110_2^9 + 45*c_0110_2^8 + 6*c_0110_2^7 - 52*c_0110_2^6 - 6*c_0110_2^5 + 32*c_0110_2^4 - 3*c_0110_2^3 - 9*c_0110_2^2 + 3*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB