Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 2429619378] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s347 geometric_solution 4.55101777 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 1 -1 0 0 0 0 0 -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 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 1.243540911211 0.158319156113 0 2 2 0 0132 0132 1023 1023 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 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 1 -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 1.251625944019 0.408017008006 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 1 0 -1 0 0 1 0 -1 1 -1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504106392122 0.492155351596 2 4 4 5 0132 0321 1302 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0.700522241671 0.806288811232 3 5 2 3 2031 2310 0132 0321 0 0 0 0 0 -1 1 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 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 0.700522241671 0.806288811232 5 5 3 4 1302 2031 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 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 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555630589532 0.344752901422 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_5']), '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_0'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 439/32*c_0110_5^9 - 745/16*c_0110_5^8 - 441/32*c_0110_5^7 + 1135/8*c_0110_5^6 + 3385/16*c_0110_5^5 - 875/32*c_0110_5^4 - 9007/32*c_0110_5^3 - 1375/8*c_0110_5^2 + 3647/32*c_0110_5 + 1325/16, c_0011_0 - 1, c_0011_4 + 9/16*c_0101_1*c_0110_5^9 + 15/8*c_0101_1*c_0110_5^8 + 7/16*c_0101_1*c_0110_5^7 - 25/4*c_0101_1*c_0110_5^6 - 71/8*c_0101_1*c_0110_5^5 + 37/16*c_0101_1*c_0110_5^4 + 209/16*c_0101_1*c_0110_5^3 + 29/4*c_0101_1*c_0110_5^2 - 97/16*c_0101_1*c_0110_5 - 27/8*c_0101_1, c_0011_5 - 3/16*c_0101_1*c_0110_5^9 - 5/8*c_0101_1*c_0110_5^8 + 3/16*c_0101_1*c_0110_5^7 + 11/4*c_0101_1*c_0110_5^6 + 21/8*c_0101_1*c_0110_5^5 - 39/16*c_0101_1*c_0110_5^4 - 91/16*c_0101_1*c_0110_5^3 - 7/4*c_0101_1*c_0110_5^2 + 43/16*c_0101_1*c_0110_5 + 9/8*c_0101_1, c_0101_0 - 39/16*c_0101_1*c_0110_5^9 - 65/8*c_0101_1*c_0110_5^8 - 25/16*c_0101_1*c_0110_5^7 + 107/4*c_0101_1*c_0110_5^6 + 297/8*c_0101_1*c_0110_5^5 - 155/16*c_0101_1*c_0110_5^4 - 895/16*c_0101_1*c_0110_5^3 - 123/4*c_0101_1*c_0110_5^2 + 399/16*c_0101_1*c_0110_5 + 141/8*c_0101_1, c_0101_1^2 + 1/2*c_0110_5^9 + 2*c_0110_5^8 + 1/2*c_0110_5^7 - 7*c_0110_5^6 - 10*c_0110_5^5 + 7/2*c_0110_5^4 + 33/2*c_0110_5^3 + 9*c_0110_5^2 - 17/2*c_0110_5 - 7, c_0110_5^10 + 4*c_0110_5^9 + 3*c_0110_5^8 - 10*c_0110_5^7 - 22*c_0110_5^6 - 7*c_0110_5^5 + 23*c_0110_5^4 + 26*c_0110_5^3 - c_0110_5^2 - 12*c_0110_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB