Magma V2.19-8 Wed Aug 21 2013 00:57:10 on localhost [Seed = 2766323312] Type ? for help. Type -D to quit. Loading file "L13n3777__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3777 geometric_solution 12.35381864 oriented_manifold CS_known -0.0000000000000004 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 0 0 0 0 0 0 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 0.862046299911 0.823892447281 0 5 2 6 0132 0132 3120 0132 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 0.393745969534 0.579421449737 7 0 1 8 0132 0132 3120 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 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 1.377431721177 0.554084420147 9 10 10 0 0132 0132 2103 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 1 -1 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 0.599212314589 0.755906438741 5 5 0 7 0132 2310 0132 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 -1 1 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 0.377431721177 0.554084420147 4 1 8 4 0132 0132 2103 3201 1 1 1 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 0 0 0 0 -4 3 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 0.896296510233 0.797701953416 9 9 1 11 2103 1302 0132 0132 1 1 0 1 0 1 -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 0 0 0 0 -4 4 0 4 0 0 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547505227407 1.032623360713 2 8 4 11 0132 0321 0132 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 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 0.862046299911 0.823892447281 5 10 2 7 2103 0213 0132 0321 1 1 1 1 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 1 -1 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862046299911 0.823892447281 3 12 6 6 0132 0132 2103 2031 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547505227407 1.032623360713 3 3 8 12 2103 0132 0213 3120 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355997257363 0.812409571488 12 12 6 7 3120 1230 0132 2103 1 1 1 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 0 0 0 -3 0 4 -1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547505227407 1.032623360713 10 9 11 11 3120 0132 3012 3120 0 1 1 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 0 0 0 0 1 -3 2 -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 0 0 0 0.547505227407 1.032623360713 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], '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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0110_10']), 'c_1100_3' : negation(d['c_0110_10']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : 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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_5'], '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_0011_8'], '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' : d['c_0101_5'], '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_0011_8'], 'c_0110_8' : negation(d['c_0011_0']), '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0110_10, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 139244/39*c_1001_1^5 + 845761/39*c_1001_1^4 + 895608/13*c_1001_1^3 + 1542800/13*c_1001_1^2 + 3841964/39*c_1001_1 + 1166251/39, c_0011_0 - 1, c_0011_10 + 5/3*c_1001_1^5 + 23/3*c_1001_1^4 + 68/3*c_1001_1^3 + 97/3*c_1001_1^2 + 83/3*c_1001_1 + 16, c_0011_11 + 1, c_0011_8 - 2*c_1001_1^5 - 28/3*c_1001_1^4 - 82/3*c_1001_1^3 - 115/3*c_1001_1^2 - 98/3*c_1001_1 - 55/3, c_0101_0 - 2/3*c_1001_1^5 - 3*c_1001_1^4 - 26/3*c_1001_1^3 - 35/3*c_1001_1^2 - 10*c_1001_1 - 5, c_0101_1 + 1, c_0101_11 - 1/3*c_1001_1^3 - c_1001_1^2 - 7/3*c_1001_1 - 4/3, c_0101_12 + 2/3*c_1001_1^5 + 3*c_1001_1^4 + 26/3*c_1001_1^3 + 35/3*c_1001_1^2 + 10*c_1001_1 + 5, c_0101_2 + c_1001_1^5 + 14/3*c_1001_1^4 + 41/3*c_1001_1^3 + 59/3*c_1001_1^2 + 49/3*c_1001_1 + 29/3, c_0101_5 - 4/3*c_1001_1^5 - 6*c_1001_1^4 - 52/3*c_1001_1^3 - 70/3*c_1001_1^2 - 19*c_1001_1 - 10, c_0110_10 + 2*c_1001_1^5 + 28/3*c_1001_1^4 + 82/3*c_1001_1^3 + 115/3*c_1001_1^2 + 98/3*c_1001_1 + 55/3, c_1001_0 - c_1001_1^5 - 14/3*c_1001_1^4 - 41/3*c_1001_1^3 - 59/3*c_1001_1^2 - 49/3*c_1001_1 - 29/3, c_1001_1^6 + 6*c_1001_1^5 + 20*c_1001_1^4 + 38*c_1001_1^3 + 43*c_1001_1^2 + 32*c_1001_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB