Magma V2.19-8 Wed Aug 21 2013 01:08:22 on localhost [Seed = 998056570] Type ? for help. Type -D to quit. Loading file "L14n40555__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40555 geometric_solution 12.26346635 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 2310 0132 0132 2 2 2 2 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 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345179801476 0.577277852119 0 4 5 0 0132 0132 0132 3201 2 2 2 2 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 2 -2 -1 0 0 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 0.859299874759 0.757543501476 4 6 7 0 0213 0132 0132 0132 2 2 2 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.087829778910 0.964739075734 8 9 0 10 0132 0132 0132 0132 2 2 0 2 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 0 1 -1 -2 0 1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455495227433 0.839705041936 2 1 6 9 0213 0132 2031 1023 2 2 2 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906408299956 1.028029118571 8 11 7 1 3120 0132 2103 0132 2 2 2 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 0 0 0 2 0 -2 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 0.500871158693 0.920143569853 6 2 6 4 2031 0132 1302 1302 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472368713839 0.982438260216 5 12 10 2 2103 0132 0132 0132 2 2 2 1 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455495227433 0.839705041936 3 10 11 5 0132 2103 2031 3120 1 2 2 0 0 0 0 0 -1 0 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 0 1 0 -1 2 0 -2 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 0.750435579347 0.460071784926 11 3 12 4 2031 0132 0321 1023 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.543640381750 0.838372026389 12 8 3 7 0321 2103 0132 0132 2 2 1 0 0 0 0 0 -1 0 1 0 1 0 0 -1 0 -1 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.089009545134 1.679410083872 12 5 9 8 3120 0132 1302 1302 2 0 1 2 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.271820190875 0.419186013194 10 7 9 11 0321 0132 0321 3120 2 0 1 2 0 0 0 0 0 0 0 0 -1 1 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 -1 0 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 0.750435579347 0.460071784926 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], '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' : negation(d['1']), 's_2_4' : 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' : negation(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_1100_9' : d['c_1001_12'], 'c_1100_8' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0101_0']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], '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_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_0'], 'c_0110_6' : d['c_0110_6']})} 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0110_6, c_0110_9, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 1/225, c_0011_0 - 1, c_0011_10 + 1/2, c_0011_11 + 1, c_0011_12 - 1/2, c_0011_2 - 1, c_0011_3 - 1, c_0101_0 + 1, c_0101_1 - 3, c_0101_10 - 2, c_0110_6 - 2, c_0110_9 + 5, c_1001_12 - 3, c_1100_0 - 5 ], 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0110_6, c_0110_9, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 12589/2411208*c_1100_0^3 + 15179/803736*c_1100_0^2 + 34027/401868*c_1100_0 + 68407/2411208, c_0011_0 - 1, c_0011_10 - 1/27*c_1100_0^3 - 2/9*c_1100_0^2 - 13/18*c_1100_0 - 47/54, c_0011_11 + 1, c_0011_12 + 1/27*c_1100_0^3 + 1/18*c_1100_0^2 + 7/18*c_1100_0 - 8/27, c_0011_2 - 5/108*c_1100_0^3 - 7/36*c_1100_0^2 - 11/18*c_1100_0 - 95/108, c_0011_3 - 1, c_0101_0 + 1, c_0101_1 - 1/27*c_1100_0^3 + 1/9*c_1100_0^2 - 5/9*c_1100_0 + 53/27, c_0101_10 + 1/27*c_1100_0^3 - 1/9*c_1100_0^2 - 4/9*c_1100_0 - 53/27, c_0110_6 + 1/36*c_1100_0^3 + 1/4*c_1100_0^2 + 5/6*c_1100_0 + 31/36, c_0110_9 + c_1100_0, c_1001_12 - 1/27*c_1100_0^3 + 1/9*c_1100_0^2 - 5/9*c_1100_0 + 53/27, c_1100_0^4 + 4*c_1100_0^3 + 21*c_1100_0^2 + 25*c_1100_0 + 61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB