Magma V2.19-8 Wed Aug 21 2013 00:55:00 on localhost [Seed = 3220809158] Type ? for help. Type -D to quit. Loading file "L12n857__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n857 geometric_solution 11.10304034 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 3012 0 0 0 1 0 0 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 1 -2 1 1 0 0 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773452997185 0.615354750439 0 3 5 4 0132 3120 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 -1 0 1 -1 0 0 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846472199801 0.430436774478 6 0 0 6 0132 0132 1230 2031 0 0 1 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208250469033 0.629911367350 7 1 8 0 0132 3120 0132 0132 0 0 1 1 0 1 0 -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 -2 0 2 0 0 0 0 1 0 0 -1 -6 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543362946230 0.423366528102 9 10 1 6 0132 0132 0132 3012 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 -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 0.349233527617 0.339271706447 6 11 10 1 3201 0132 0321 0132 1 0 0 0 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 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222747229401 0.577096072348 2 2 4 5 0132 1302 1230 2310 0 0 0 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 -1 -1 2 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 0.526871857786 1.431107437008 3 12 9 12 0132 0132 0132 2103 1 0 1 1 0 -1 1 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 6 -5 -1 0 0 0 0 6 0 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208250469033 0.629911367350 9 11 10 3 1302 3201 1302 0132 0 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 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.923892190071 0.385843580484 4 8 11 7 0132 2031 1302 0132 1 0 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288009249888 1.263120432868 8 4 5 12 2031 0132 0321 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.585236664735 0.214954553043 9 5 8 12 2031 0132 2310 3012 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 0 0.621730642323 0.808266316033 10 7 11 7 3120 0132 1230 2103 1 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 0 0 0 -6 0 6 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 0.465528595385 0.953794208565 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_8'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : d['1'], 's_3_10' : 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_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_8' : d['c_0101_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : negation(d['c_1001_1']), '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'], 'c_1100_12' : negation(d['c_0101_3']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : 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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 5857/112*c_1001_1^4 + 2465/14*c_1001_1^3 + 75527/112*c_1001_1^2 + 98989/112*c_1001_1 + 9322/7, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_1^4 + 1/4*c_1001_1^2 + 15/4*c_1001_1 + 3, c_0011_11 - 3/14*c_1001_1^4 - 8/7*c_1001_1^3 - 43/14*c_1001_1^2 - 67/14*c_1001_1 - 17/7, c_0011_12 + 1/4*c_1001_1^4 - 1/4*c_1001_1^2 - 15/4*c_1001_1 - 2, c_0011_8 + 5/4*c_1001_1^4 + 3*c_1001_1^3 + 31/4*c_1001_1^2 + 17/4*c_1001_1, c_0101_0 - 1/4*c_1001_1^4 - c_1001_1^3 - 11/4*c_1001_1^2 - 13/4*c_1001_1 - 2, c_0101_1 - 1, c_0101_10 - 1/28*c_1001_1^4 + 1/7*c_1001_1^3 + 9/28*c_1001_1^2 + 43/28*c_1001_1 + 10/7, c_0101_11 + 1/2*c_1001_1^4 + 1/2*c_1001_1^2 - 11/2*c_1001_1 - 3, c_0101_12 + 3/4*c_1001_1^4 + 2*c_1001_1^3 + 21/4*c_1001_1^2 + 15/4*c_1001_1, c_0101_3 + 1/4*c_1001_1^4 - 1/4*c_1001_1^2 - 15/4*c_1001_1 - 3, c_0101_6 - 1/4*c_1001_1^4 - c_1001_1^3 - 11/4*c_1001_1^2 - 13/4*c_1001_1 - 2, c_1001_1^5 + 4*c_1001_1^4 + 15*c_1001_1^3 + 25*c_1001_1^2 + 36*c_1001_1 + 16 ], 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 679/13*c_0101_6^5 - 1889/26*c_0101_6^4 + 346/13*c_0101_6^3 - 3505/13*c_0101_6^2 + 2755/26*c_0101_6 - 1785/13, c_0011_0 - 1, c_0011_10 + 1/4*c_0101_6^5 - 1/2*c_0101_6^4 + 1/2*c_0101_6^3 - 7/4*c_0101_6^2 + 3/4*c_0101_6 - 1/4, c_0011_11 + 1/8*c_0101_6^5 - 1/4*c_0101_6^4 + 1/4*c_0101_6^3 - 7/8*c_0101_6^2 - 1/8*c_0101_6 - 1/8, c_0011_12 + 2*c_0101_6, c_0011_8 - 1/2*c_0101_6^5 + c_0101_6^4 + 3/2*c_0101_6^2 - 3/2*c_0101_6 - 1/2, c_0101_0 - c_0101_6, c_0101_1 - 1, c_0101_10 - 1/8*c_0101_6^5 + 1/4*c_0101_6^4 - 1/4*c_0101_6^3 + 7/8*c_0101_6^2 - 7/8*c_0101_6 + 9/8, c_0101_11 + 1/2*c_0101_6^5 - 1/2*c_0101_6^4 - 1/2*c_0101_6^3 - 2*c_0101_6^2 + 1/2*c_0101_6, c_0101_12 - 1/4*c_0101_6^5 + 1/2*c_0101_6^4 - 1/2*c_0101_6^3 + 3/4*c_0101_6^2 - 3/4*c_0101_6 + 5/4, c_0101_3 - 1/4*c_0101_6^5 + 1/2*c_0101_6^4 - 1/2*c_0101_6^3 + 7/4*c_0101_6^2 - 3/4*c_0101_6 + 1/4, c_0101_6^6 - c_0101_6^5 - 5*c_0101_6^3 - 2*c_0101_6 - 1, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB