Magma V2.19-8 Wed Aug 21 2013 01:04:34 on localhost [Seed = 778581591] Type ? for help. Type -D to quit. Loading file "L14n24352__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24352 geometric_solution 12.32159230 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 1 0 -1 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 -3 0 3 0 3 -1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339860448653 0.929978361172 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 1 -1 0 -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 -3 3 0 3 0 -3 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476532086005 1.116293207321 8 0 7 9 0132 0132 3012 0132 1 1 1 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 1 0 -1 0 0 0 0 1 -1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348742913651 0.814646988368 5 7 8 0 3012 3012 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 0 0 0 3 0 0 -3 -4 3 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653332696129 0.948604323934 5 8 0 10 0132 0132 0132 0132 1 1 1 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 -1 1 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 0.528380963743 0.806428027452 4 1 11 3 0132 0132 0132 1230 1 1 0 1 0 -1 0 1 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 3 0 -3 0 0 -4 4 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676531200194 0.757737064531 10 12 1 11 0132 0132 0132 3120 1 1 1 1 0 -1 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 0 0 0 4 0 -4 -4 0 0 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 0.628496235265 0.543857095220 3 2 10 1 1230 1230 0213 0132 1 1 0 1 0 0 -1 1 1 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 3 -3 -3 0 0 3 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431550513508 0.867581592741 2 4 9 3 0132 0132 1230 0132 1 1 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 0 0 0 0 0 0 0 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598699910463 0.748904064491 12 12 2 8 2103 3012 0132 3012 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 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 0.889074144838 1.827820641493 6 7 4 11 0132 0213 0132 3012 1 1 1 1 0 1 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 0 0 0 -3 -1 4 4 0 0 -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 1.203449737948 0.747427345568 6 12 10 5 3120 0321 1230 0132 1 1 1 1 0 1 -1 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 -4 4 0 -4 0 0 4 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856402821211 1.253717444866 9 6 9 11 1230 0132 2103 0321 1 1 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 -4 0 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 0 0 0 0.814480979719 0.369104229394 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : negation(d['c_0110_9']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_0110_9'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_1001_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0110_9']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_0101_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_12'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], '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_12'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_9, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5867/324*c_0110_9*c_1001_5^5 + 12353/1296*c_0110_9*c_1001_5^4 + 46213/648*c_0110_9*c_1001_5^3 - 2189/16*c_0110_9*c_1001_5^2 + 125857/1296*c_0110_9*c_1001_5 - 15965/648*c_0110_9 - 2519/324*c_1001_5^5 + 17645/1296*c_1001_5^4 + 11429/324*c_1001_5^3 - 4795/48*c_1001_5^2 + 115867/1296*c_1001_5 - 8833/324, c_0011_0 - 1, c_0011_10 - c_0110_9 - 4/3*c_1001_5^5 - 5/3*c_1001_5^4 + 16/3*c_1001_5^3 - 13/3*c_1001_5 + 10/3, c_0011_11 - 10*c_1001_5^5 - 1/2*c_1001_5^4 + 37*c_1001_5^3 - 113/2*c_1001_5^2 + 69/2*c_1001_5 - 9, c_0011_3 - c_0110_9*c_1001_5^5 + 3/4*c_0110_9*c_1001_5^4 + 7/2*c_0110_9*c_1001_5^3 - 35/4*c_0110_9*c_1001_5^2 + 35/4*c_0110_9*c_1001_5 - 9/2*c_0110_9 - 19/3*c_1001_5^5 + 1/12*c_1001_5^4 + 73/3*c_1001_5^3 - 147/4*c_1001_5^2 + 251/12*c_1001_5 - 11/3, c_0011_7 - 19/3*c_0110_9*c_1001_5^5 + 1/12*c_0110_9*c_1001_5^4 + 73/3*c_0110_9*c_1001_5^3 - 147/4*c_0110_9*c_1001_5^2 + 251/12*c_0110_9*c_1001_5 - 14/3*c_0110_9 + 22/3*c_1001_5^5 - 5/6*c_1001_5^4 - 167/6*c_1001_5^3 + 91/2*c_1001_5^2 - 89/3*c_1001_5 + 49/6, c_0101_0 - 1, c_0101_10 + 10/3*c_0110_9*c_1001_5^5 - 23/6*c_0110_9*c_1001_5^4 - 40/3*c_0110_9*c_1001_5^3 + 69/2*c_0110_9*c_1001_5^2 - 175/6*c_0110_9*c_1001_5 + 32/3*c_0110_9 - 4*c_1001_5^5 - c_1001_5^4 + 13*c_1001_5^3 - 22*c_1001_5^2 + 13*c_1001_5 - 4, c_0101_11 - 10/3*c_0110_9*c_1001_5^5 + 23/6*c_0110_9*c_1001_5^4 + 40/3*c_0110_9*c_1001_5^3 - 69/2*c_0110_9*c_1001_5^2 + 175/6*c_0110_9*c_1001_5 - 32/3*c_0110_9 - 4/3*c_1001_5^5 - 5/3*c_1001_5^4 + 16/3*c_1001_5^3 - 13/3*c_1001_5 + 10/3, c_0101_12 - 4*c_1001_5^5 - c_1001_5^4 + 13*c_1001_5^3 - 22*c_1001_5^2 + 13*c_1001_5 - 4, c_0101_2 - 10/3*c_0110_9*c_1001_5^5 + 23/6*c_0110_9*c_1001_5^4 + 40/3*c_0110_9*c_1001_5^3 - 69/2*c_0110_9*c_1001_5^2 + 175/6*c_0110_9*c_1001_5 - 29/3*c_0110_9 + 10/3*c_1001_5^5 - 23/6*c_1001_5^4 - 40/3*c_1001_5^3 + 69/2*c_1001_5^2 - 175/6*c_1001_5 + 29/3, c_0110_9^2 + 4/3*c_0110_9*c_1001_5^5 + 5/3*c_0110_9*c_1001_5^4 - 16/3*c_0110_9*c_1001_5^3 + 13/3*c_0110_9*c_1001_5 - 10/3*c_0110_9 + 2*c_1001_5^5 - 3/2*c_1001_5^4 - 7*c_1001_5^3 + 37/2*c_1001_5^2 - 33/2*c_1001_5 + 6, c_1001_10 + 14/3*c_1001_5^5 - 13/6*c_1001_5^4 - 56/3*c_1001_5^3 + 69/2*c_1001_5^2 - 149/6*c_1001_5 + 25/3, c_1001_5^6 - 3/4*c_1001_5^5 - 7/2*c_1001_5^4 + 35/4*c_1001_5^3 - 35/4*c_1001_5^2 + 9/2*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB