Magma V2.19-8 Wed Aug 21 2013 00:56:24 on localhost [Seed = 3835887317] Type ? for help. Type -D to quit. Loading file "L13n2052__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2052 geometric_solution 12.65260164 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 1 1 1 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 1 0 -1 -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 0.854419393386 0.765325186539 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 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 0.713199251125 0.589855367045 8 0 7 4 0132 0132 3012 2310 1 1 1 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 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 0.600486191106 0.948126438815 9 10 8 0 0132 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713199251125 0.589855367045 2 10 0 5 3201 0321 0132 2310 1 1 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 0 1 -1 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600486191106 0.948126438815 4 1 10 8 3201 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.634364618692 0.549570880220 9 11 1 9 2103 0132 0132 3201 1 1 0 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648633271263 0.721932450781 8 2 12 1 2310 1230 0132 0132 1 1 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 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 0.821192158727 0.800940663833 2 3 7 5 0132 3201 3201 1023 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634364618692 0.549570880220 3 6 6 12 0132 2310 2103 3120 0 1 1 1 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 1 -2 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 0.648633271263 0.721932450781 11 3 5 4 3012 0132 1023 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.821192158727 0.800940663833 12 6 12 10 2103 0132 0213 1230 1 1 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 0 0 0 0 0 0 -1 1 0 0 0 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 0.545054574359 1.119891419689 9 11 11 7 3120 0213 2103 0132 1 1 1 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 0 1 -1 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648633271263 0.721932450781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_7']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0011_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_12']})} 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 147304/157339*c_0110_5^4 - 15144/22477*c_0110_5^3 - 177556/157339*c_0110_5^2 + 20572/22477*c_0110_5 + 50248/157339, c_0011_0 - 1, c_0011_10 - 80/19*c_0110_5^4 - 16/19*c_0110_5^3 - 100/19*c_0110_5^2 + 110/19*c_0110_5 - 54/19, c_0011_11 + 1, c_0011_12 + 1, c_0011_4 + 52/19*c_0110_5^4 + 18/19*c_0110_5^3 + 84/19*c_0110_5^2 - 43/19*c_0110_5 + 37/19, c_0011_7 - 36/19*c_0110_5^4 - 30/19*c_0110_5^3 - 64/19*c_0110_5^2 + 21/19*c_0110_5 - 11/19, c_0101_0 - 52/19*c_0110_5^4 - 18/19*c_0110_5^3 - 84/19*c_0110_5^2 + 43/19*c_0110_5 - 37/19, c_0101_1 + 16/19*c_0110_5^4 - 12/19*c_0110_5^3 + 20/19*c_0110_5^2 - 41/19*c_0110_5 + 26/19, c_0101_10 - 28/19*c_0110_5^4 + 2/19*c_0110_5^3 - 16/19*c_0110_5^2 + 67/19*c_0110_5 - 17/19, c_0101_2 + c_0110_5, c_0101_3 + 28/19*c_0110_5^4 - 2/19*c_0110_5^3 + 16/19*c_0110_5^2 - 67/19*c_0110_5 + 17/19, c_0101_5 - 16/19*c_0110_5^4 + 12/19*c_0110_5^3 - 20/19*c_0110_5^2 + 41/19*c_0110_5 - 26/19, c_0110_5^5 + 1/2*c_0110_5^4 + 3/2*c_0110_5^3 - c_0110_5^2 + 1/2*c_0110_5 + 1/4 ], 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_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 5317/6096*c_0110_5^6 + 4261/3048*c_0110_5^5 - 5527/12192*c_0110_5^4 + 11041/12192*c_0110_5^3 + 34529/12192*c_0110_5^2 + 16819/12192*c_0110_5 + 18733/24384, c_0011_0 - 1, c_0011_10 - 196/127*c_0110_5^6 + 120/127*c_0110_5^5 + 262/127*c_0110_5^4 - 330/127*c_0110_5^3 - 206/127*c_0110_5^2 + 332/127*c_0110_5 + 177/127, c_0011_11 + 1, c_0011_12 - 1, c_0011_4 + 60/127*c_0110_5^6 - 16/127*c_0110_5^5 - 18/127*c_0110_5^4 + 44/127*c_0110_5^3 + 146/127*c_0110_5^2 + 15/127*c_0110_5 - 176/127, c_0011_7 + 156/127*c_0110_5^6 + 60/127*c_0110_5^5 - 250/127*c_0110_5^4 + 216/127*c_0110_5^3 + 278/127*c_0110_5^2 - 215/127*c_0110_5 - 102/127, c_0101_0 - 60/127*c_0110_5^6 + 16/127*c_0110_5^5 + 18/127*c_0110_5^4 - 44/127*c_0110_5^3 - 146/127*c_0110_5^2 - 15/127*c_0110_5 + 176/127, c_0101_1 - 68/127*c_0110_5^6 + 52/127*c_0110_5^5 + 122/127*c_0110_5^4 - 270/127*c_0110_5^3 - 30/127*c_0110_5^2 + 237/127*c_0110_5 - 63/127, c_0101_10 + 136/127*c_0110_5^6 - 104/127*c_0110_5^5 - 244/127*c_0110_5^4 + 286/127*c_0110_5^3 + 60/127*c_0110_5^2 - 347/127*c_0110_5 - 1/127, c_0101_2 + c_0110_5, c_0101_3 - 136/127*c_0110_5^6 + 104/127*c_0110_5^5 + 244/127*c_0110_5^4 - 286/127*c_0110_5^3 - 60/127*c_0110_5^2 + 347/127*c_0110_5 + 1/127, c_0101_5 + 68/127*c_0110_5^6 - 52/127*c_0110_5^5 - 122/127*c_0110_5^4 + 270/127*c_0110_5^3 + 30/127*c_0110_5^2 - 237/127*c_0110_5 + 63/127, c_0110_5^7 - 3/2*c_0110_5^5 + 3/2*c_0110_5^4 + 3/2*c_0110_5^3 - 3/2*c_0110_5^2 - 3/4*c_0110_5 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB