Magma V2.19-8 Tue Aug 20 2013 23:48:55 on localhost [Seed = 223045522] Type ? for help. Type -D to quit. Loading file "L12n1150__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1150 geometric_solution 10.67146647 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 4 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.470756999680 1.123304232912 0 5 6 6 0132 0132 0213 0132 0 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 -1 0 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 -0.088592040433 0.643261489653 7 0 3 4 0132 0132 1302 2103 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 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 0.526818619309 1.105695375272 2 8 9 0 2031 0132 0132 0132 1 1 1 1 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 1 0 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562370296816 1.286265877121 9 6 0 2 0213 1023 0132 2103 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 -4 0 4 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 0.524970855688 0.490297520011 7 1 10 10 1023 0132 0132 0321 0 1 1 1 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 0 0 0 1 -4 3 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751844475090 0.844429321103 4 1 1 8 1023 0213 0132 1302 0 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 -1 1 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 0.680873031046 0.402335662900 2 5 9 11 0132 1023 3120 0132 1 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733269207077 0.544119033572 11 3 6 11 0213 0132 2031 3201 1 0 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 0 0 0 1 0 -1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320348639983 1.090089711580 4 10 7 3 0213 2031 3120 0132 1 1 1 1 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 0 0 0 0 0 3 -3 4 -4 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454247012890 0.214758988637 9 5 11 5 1302 0321 2031 0132 0 1 1 1 0 1 0 -1 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 -3 -1 4 -1 0 -3 4 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411854614203 0.660571734306 8 8 7 10 0213 2310 0132 1302 1 1 0 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 0 0 0 0 0 0 0 0 -3 0 3 3 0 -3 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 0.751844475090 0.844429321103 ==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' : negation(d['c_0110_11']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_11' : d['c_0110_11'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_4']), '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_2_6' : d['1'], 's_2_7' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : 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_4'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_4'], '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0110_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0101_7, c_0110_11, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1201/84*c_0110_6 - 5983/336, c_0011_0 - 1, c_0011_10 - c_0110_6 + 1, c_0011_11 + 2/3*c_0110_6 + 2/3, c_0011_3 - 2/3*c_0110_6 + 1/3, c_0011_4 - 1/3*c_0110_6 - 1/3, c_0101_0 + 1/3*c_0110_6 + 1/3, c_0101_3 - 1/3*c_0110_6 - 1/3, c_0101_5 + 1/3*c_0110_6 - 2/3, c_0101_7 + 2/3*c_0110_6 - 1/3, c_0110_11 + 2/3*c_0110_6 - 1/3, c_0110_6^2 - 1/4*c_0110_6 + 1, c_1001_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0101_7, c_0110_11, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 209233/2783*c_0110_6^3 - 52135/1936*c_0110_6^2 - 2839445/15488*c_0110_6 - 3087747/356224, c_0011_0 - 1, c_0011_10 + 8/11*c_0110_6^3 + 23/22*c_0110_6^2 + 39/22*c_0110_6 + 7/11, c_0011_11 + 2/11*c_0110_6^3 - 9/88*c_0110_6^2 + 87/88*c_0110_6 + 6/11, c_0011_3 + 10/11*c_0110_6^3 + 83/88*c_0110_6^2 + 155/88*c_0110_6 + 13/11, c_0011_4 - 4/11*c_0110_6^3 + 9/44*c_0110_6^2 - 43/44*c_0110_6 - 1/11, c_0101_0 - 2/11*c_0110_6^3 + 9/88*c_0110_6^2 + 1/88*c_0110_6 + 5/11, c_0101_3 - 8/11*c_0110_6^3 + 9/22*c_0110_6^2 - 21/22*c_0110_6 + 9/11, c_0101_5 - 6/11*c_0110_6^3 - 101/88*c_0110_6^2 - 69/88*c_0110_6 - 12/11, c_0101_7 - 4/11*c_0110_6^3 + 9/44*c_0110_6^2 + 1/44*c_0110_6 - 1/11, c_0110_11 - 2/11*c_0110_6^3 + 9/88*c_0110_6^2 - 87/88*c_0110_6 + 5/11, c_0110_6^4 + 7/16*c_0110_6^3 + 23/8*c_0110_6^2 + 7/16*c_0110_6 + 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB