Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 2345277422] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s749 geometric_solution 5.28430294 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 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 0.305257094606 1.182809537784 0 5 5 4 0132 0132 1023 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 0.497150408831 0.201027637113 2 0 4 2 3201 0132 3201 2310 0 0 0 0 0 1 0 -1 1 0 0 -1 1 0 0 -1 1 0 -1 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 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929248387032 0.814277728776 3 4 3 0 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138779300450 0.904182361010 2 1 0 3 2310 2310 0132 3201 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 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 0 0 0 0 0 0 0 0 0 0.305257094606 1.182809537784 5 1 1 5 3201 0132 1023 2310 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 0.929248387032 0.814277728776 ==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' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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_1'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], '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' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 96*c_0101_5^7 - 439*c_0101_5^6 - 706*c_0101_5^5 + 1354*c_0101_5^4 + 642*c_0101_5^3 - 917*c_0101_5^2 - 116*c_0101_5 + 157, c_0011_0 - 1, c_0011_3 - 5*c_0101_5^7 + 24*c_0101_5^6 + 33*c_0101_5^5 - 85*c_0101_5^4 - 29*c_0101_5^3 + 70*c_0101_5^2 + 6*c_0101_5 - 15, c_0101_0 + 5*c_0101_5^7 - 21*c_0101_5^6 - 45*c_0101_5^5 + 56*c_0101_5^4 + 55*c_0101_5^3 - 35*c_0101_5^2 - 15*c_0101_5 + 6, c_0101_1 + c_0101_5^7 - 4*c_0101_5^6 - 10*c_0101_5^5 + 10*c_0101_5^4 + 15*c_0101_5^3 - 6*c_0101_5^2 - 6*c_0101_5 + 1, c_0101_2 + c_0101_5, c_0101_5^8 - 4*c_0101_5^7 - 10*c_0101_5^6 + 10*c_0101_5^5 + 15*c_0101_5^4 - 6*c_0101_5^3 - 7*c_0101_5^2 + c_0101_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 10/3*c_0101_5^9 + 8*c_0101_5^8 + 12*c_0101_5^7 - 106/3*c_0101_5^6 - 44/3*c_0101_5^5 + 61*c_0101_5^4 + 3*c_0101_5^3 - 88/3*c_0101_5^2 - 5/3*c_0101_5 + 19/3, c_0011_0 - 1, c_0011_3 + 3*c_0101_5^9 - 6*c_0101_5^8 - 11*c_0101_5^7 + 28*c_0101_5^6 + 14*c_0101_5^5 - 50*c_0101_5^4 + 29*c_0101_5^2 - 2*c_0101_5 - 5, c_0101_0 - 3*c_0101_5^9 + 4*c_0101_5^8 + 13*c_0101_5^7 - 19*c_0101_5^6 - 23*c_0101_5^5 + 33*c_0101_5^4 + 13*c_0101_5^3 - 17*c_0101_5^2 + 3, c_0101_1 - c_0101_5^9 + c_0101_5^8 + 5*c_0101_5^7 - 5*c_0101_5^6 - 11*c_0101_5^5 + 9*c_0101_5^4 + 11*c_0101_5^3 - 5*c_0101_5^2 - 4*c_0101_5 + 1, c_0101_2 - c_0101_5^9 + c_0101_5^8 + 5*c_0101_5^7 - 5*c_0101_5^6 - 11*c_0101_5^5 + 9*c_0101_5^4 + 11*c_0101_5^3 - 5*c_0101_5^2 - 5*c_0101_5 + 1, c_0101_5^10 - c_0101_5^9 - 5*c_0101_5^8 + 5*c_0101_5^7 + 11*c_0101_5^6 - 9*c_0101_5^5 - 11*c_0101_5^4 + 5*c_0101_5^3 + 5*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB