Magma V2.19-8 Wed Aug 21 2013 01:04:20 on localhost [Seed = 896740731] Type ? for help. Type -D to quit. Loading file "L14n24046__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24046 geometric_solution 12.29779784 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 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 -1 1 0 0 1 -1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289621398138 1.676349201634 0 4 6 5 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840967479511 0.739707372516 3 0 5 7 1023 0132 0213 0132 1 1 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 0 0 0 0 0 0 0 1 0 -1 0 -5 6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307742771909 1.301315446162 8 2 9 0 0132 1023 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 -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 0 1 1 0 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423572987857 0.555232932747 8 1 0 7 1023 0132 0132 0213 1 0 1 1 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 1 -1 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 0.377319175056 0.647609310948 10 2 1 6 0132 0213 0132 0321 1 0 1 1 0 0 0 0 0 0 -1 1 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 1 0 -1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482157878428 0.421620280739 11 5 12 1 0132 0321 0132 0132 1 0 1 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 -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 0.818105182137 1.382086476000 12 12 2 4 2310 3120 0132 0213 1 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 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 0.534611395175 0.755827666367 3 4 10 11 0132 1023 0132 2103 0 0 1 1 0 -1 0 1 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 1 0 -1 -1 0 1 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488599651364 0.568820786932 10 11 12 3 2031 0132 3201 0132 1 0 1 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 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 0.561468703620 0.683830501060 5 11 9 8 0132 1230 1302 0132 0 0 1 1 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 1 -1 -6 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329505530773 0.813265689068 6 9 10 8 0132 0132 3012 2103 1 0 0 1 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 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 -0.121515256796 0.700970133913 9 7 7 6 2310 3120 3201 0132 1 0 0 1 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 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 0.590698112250 0.959340153758 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0101_7']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0101_12']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_0101_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 3/16*c_1001_2 + 17/16, c_0011_0 - 1, c_0011_10 + c_1001_2 - 1, c_0011_11 + 1, c_0011_12 + 1/2*c_1001_2 - 1, c_0011_7 - 1/2*c_1001_2, c_0101_0 - 1, c_0101_1 + 1/2*c_1001_2 + 1, c_0101_12 - 1, c_0101_3 - 1/2*c_1001_2, c_0101_6 + 1/4*c_1001_2 + 1/2, c_0101_7 - 1, c_1001_1 - 1, c_1001_2^2 + c_1001_2 + 2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_6, c_0101_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 6406275/754*c_1001_2^8 - 14551255/754*c_1001_2^7 - 66679661/1508*c_1001_2^6 - 77525817/1508*c_1001_2^5 - 42310533/754*c_1001_2^4 - 30136189/754*c_1001_2^3 - 9963599/377*c_1001_2^2 - 19889661/1508*c_1001_2 - 4818529/1508, c_0011_0 - 1, c_0011_10 - 5*c_1001_2^8 - 14*c_1001_2^7 - 32*c_1001_2^6 - 44*c_1001_2^5 - 49*c_1001_2^4 - 41*c_1001_2^3 - 28*c_1001_2^2 - 15*c_1001_2 - 5, c_0011_11 - 20*c_1001_2^8 - 46*c_1001_2^7 - 100*c_1001_2^6 - 112*c_1001_2^5 - 113*c_1001_2^4 - 75*c_1001_2^3 - 48*c_1001_2^2 - 25*c_1001_2 - 6, c_0011_12 - 5/2*c_1001_2^8 + 1/2*c_1001_2^7 - 5/2*c_1001_2^6 + 15/2*c_1001_2^5 + 3*c_1001_2^4 + 15/2*c_1001_2^3 + 5/2*c_1001_2^2 + 7/2*c_1001_2 + 3/2, c_0011_7 - 10*c_1001_2^8 - 23*c_1001_2^7 - 50*c_1001_2^6 - 61*c_1001_2^5 - 63*c_1001_2^4 - 51*c_1001_2^3 - 32*c_1001_2^2 - 18*c_1001_2 - 5, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 35/2*c_1001_2^8 - 73/2*c_1001_2^7 - 179/2*c_1001_2^6 - 203/2*c_1001_2^5 - 118*c_1001_2^4 - 167/2*c_1001_2^3 - 109/2*c_1001_2^2 - 53/2*c_1001_2 - 11/2, c_0101_3 - 35*c_1001_2^8 - 161/2*c_1001_2^7 - 365/2*c_1001_2^6 - 212*c_1001_2^5 - 228*c_1001_2^4 - 161*c_1001_2^3 - 209/2*c_1001_2^2 - 105/2*c_1001_2 - 11, c_0101_6 - 35/2*c_1001_2^8 - 44*c_1001_2^7 - 93*c_1001_2^6 - 221/2*c_1001_2^5 - 110*c_1001_2^4 - 155/2*c_1001_2^3 - 50*c_1001_2^2 - 26*c_1001_2 - 11/2, c_0101_7 + 5/2*c_1001_2^8 - 1/2*c_1001_2^7 + 5/2*c_1001_2^6 - 15/2*c_1001_2^5 - 3*c_1001_2^4 - 15/2*c_1001_2^3 - 5/2*c_1001_2^2 - 5/2*c_1001_2 - 3/2, c_1001_1 - 10*c_1001_2^8 - 23*c_1001_2^7 - 50*c_1001_2^6 - 61*c_1001_2^5 - 63*c_1001_2^4 - 51*c_1001_2^3 - 32*c_1001_2^2 - 19*c_1001_2 - 5, c_1001_2^9 + 14/5*c_1001_2^8 + 32/5*c_1001_2^7 + 44/5*c_1001_2^6 + 49/5*c_1001_2^5 + 41/5*c_1001_2^4 + 28/5*c_1001_2^3 + 16/5*c_1001_2^2 + 6/5*c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB