Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 2749513416] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3144 geometric_solution 6.30275322 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3120 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 1 -1 1 0 0 -1 -1 2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168257579073 0.611228685202 0 4 2 3 0132 0132 1023 0321 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 1 0 -1 -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 -0.413934526679 0.911417355295 5 0 1 6 0132 0132 1023 0132 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 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374526163070 1.298689590688 0 1 6 0 3120 0321 1230 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 1 0 -1 1 0 -1 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 0.780688543842 0.573710346135 5 1 5 6 1023 0132 0321 3120 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 -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 0 0 0.856867792574 1.157031002304 2 4 4 6 0132 1023 0321 0321 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 0 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586641924637 0.558158577545 4 5 2 3 3120 0321 0132 3012 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 -2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143132207426 1.157031002304 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0101_4'], 'c_1001_4' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0101_4, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 5*c_1001_3^8 + 47/4*c_1001_3^7 - 75/2*c_1001_3^6 + 111/2*c_1001_3^5 - 84*c_1001_3^4 + 179/2*c_1001_3^3 - 265/4*c_1001_3^2 + 56*c_1001_3 - 31/4, c_0011_0 - 1, c_0011_3 + c_1001_3^8 - 5/2*c_1001_3^7 + 8*c_1001_3^6 - 13*c_1001_3^5 + 20*c_1001_3^4 - 23*c_1001_3^3 + 37/2*c_1001_3^2 - 15*c_1001_3 + 9/2, c_0011_6 + c_1001_3^8 - 3*c_1001_3^7 + 9*c_1001_3^6 - 15*c_1001_3^5 + 22*c_1001_3^4 - 24*c_1001_3^3 + 19*c_1001_3^2 - 14*c_1001_3 + 4, c_0101_3 + 1, c_0101_4 - 1/2*c_1001_3^8 + 3/2*c_1001_3^7 - 4*c_1001_3^6 + 7*c_1001_3^5 - 9*c_1001_3^4 + 21/2*c_1001_3^3 - 15/2*c_1001_3^2 + 11/2*c_1001_3 - 5/2, c_1001_0 + 1/2*c_1001_3^8 - 3/2*c_1001_3^7 + 5*c_1001_3^6 - 9*c_1001_3^5 + 14*c_1001_3^4 - 33/2*c_1001_3^3 + 27/2*c_1001_3^2 - 21/2*c_1001_3 + 7/2, c_1001_3^9 - 3*c_1001_3^8 + 9*c_1001_3^7 - 16*c_1001_3^6 + 24*c_1001_3^5 - 29*c_1001_3^4 + 25*c_1001_3^3 - 20*c_1001_3^2 + 9*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB