Magma V2.19-8 Tue Aug 20 2013 16:14:46 on localhost [Seed = 2294879469] 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' : negation(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' : negation(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: 10 Groebner basis: [ t + 3392/11*c_0101_5^9 + 3884/11*c_0101_5^8 - 10138/11*c_0101_5^7 - 13253/11*c_0101_5^6 + 11524/11*c_0101_5^5 + 17404/11*c_0101_5^4 - 4502/11*c_0101_5^3 - 7741/11*c_0101_5^2 + 680/11*c_0101_5 + 1239/11, c_0011_0 - 1, c_0011_3 + 20*c_0101_5^9 + 26*c_0101_5^8 - 63*c_0101_5^7 - 94*c_0101_5^6 + 75*c_0101_5^5 + 133*c_0101_5^4 - 31*c_0101_5^3 - 72*c_0101_5^2 + 4*c_0101_5 + 13, c_0101_0 - 20*c_0101_5^9 - 14*c_0101_5^8 + 69*c_0101_5^7 + 53*c_0101_5^6 - 97*c_0101_5^5 - 76*c_0101_5^4 + 59*c_0101_5^3 + 37*c_0101_5^2 - 11*c_0101_5 - 6, c_0101_1 + 4*c_0101_5^9 + 2*c_0101_5^8 - 15*c_0101_5^7 - 8*c_0101_5^6 + 24*c_0101_5^5 + 12*c_0101_5^4 - 19*c_0101_5^3 - 6*c_0101_5^2 + 6*c_0101_5 + 1, c_0101_2 - c_0101_5, c_0101_5^10 + 1/2*c_0101_5^9 - 15/4*c_0101_5^8 - 2*c_0101_5^7 + 6*c_0101_5^6 + 3*c_0101_5^5 - 19/4*c_0101_5^4 - 3/2*c_0101_5^3 + 7/4*c_0101_5^2 + 1/4*c_0101_5 - 1/4 ], 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 + 2*c_0101_5^9 + 4*c_0101_5^8 - 16*c_0101_5^7 - 30*c_0101_5^6 + 36*c_0101_5^5 + 59*c_0101_5^4 - 23*c_0101_5^3 - 26*c_0101_5^2 + 3*c_0101_5 + 3, c_0011_0 - 1, c_0011_3 + 7*c_0101_5^9 + 12*c_0101_5^8 - 57*c_0101_5^7 - 92*c_0101_5^6 + 132*c_0101_5^5 + 200*c_0101_5^4 - 92*c_0101_5^3 - 137*c_0101_5^2 + 16*c_0101_5 + 25, c_0101_0 - 7*c_0101_5^9 - 8*c_0101_5^8 + 61*c_0101_5^7 + 57*c_0101_5^6 - 159*c_0101_5^5 - 109*c_0101_5^4 + 137*c_0101_5^3 + 61*c_0101_5^2 - 32*c_0101_5 - 9, c_0101_1 + c_0101_5^9 + c_0101_5^8 - 9*c_0101_5^7 - 7*c_0101_5^6 + 25*c_0101_5^5 + 13*c_0101_5^4 - 25*c_0101_5^3 - 7*c_0101_5^2 + 8*c_0101_5 + 1, c_0101_2 + c_0101_5^9 + c_0101_5^8 - 9*c_0101_5^7 - 7*c_0101_5^6 + 25*c_0101_5^5 + 13*c_0101_5^4 - 25*c_0101_5^3 - 7*c_0101_5^2 + 9*c_0101_5 + 1, c_0101_5^10 + c_0101_5^9 - 9*c_0101_5^8 - 7*c_0101_5^7 + 25*c_0101_5^6 + 13*c_0101_5^5 - 25*c_0101_5^4 - 7*c_0101_5^3 + 9*c_0101_5^2 + c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB