Magma V2.19-8 Wed Aug 21 2013 01:07:20 on localhost [Seed = 4038519290] Type ? for help. Type -D to quit. Loading file "L14n33061__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33061 geometric_solution 11.31721768 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 2310 2310 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 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 0 0 0 0 0 0 0 -0.237679009413 1.337173715960 0 0 4 3 0132 3201 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 -0.168433932110 0.611821214834 0 0 6 5 3201 0132 0132 0132 0 1 0 1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496720579660 0.695092675289 7 8 1 9 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115632390907 1.466688707249 10 7 9 1 0132 2310 0132 0132 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 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 0.391219944406 2.074124199183 11 8 2 7 0132 2310 0132 0132 0 1 1 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 -4 -1 5 0 0 0 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 0.746461214338 0.343893746439 12 11 10 2 0132 2310 2310 0132 0 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071800168719 0.936224938724 3 10 5 4 0132 0321 0132 3201 0 1 0 1 0 -1 1 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 5 -5 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 0.277782211037 0.481468979465 9 3 11 5 0321 0132 0321 3201 0 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 0 -1 1 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.225223302105 0.681031666743 8 12 3 4 0321 2103 0132 0132 0 1 0 1 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 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 0.001795906062 0.507457386200 4 6 12 7 0132 3201 0321 0321 0 1 0 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 5 0 -5 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 0.725456970460 1.070059028555 5 12 8 6 0132 0321 0321 3201 0 1 0 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 4 1 -5 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 0.487387275865 0.700464386225 6 9 10 11 0132 2103 0321 0321 0 1 0 1 0 -1 0 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 4 0 -4 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 1.101500706696 1.539465235606 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_4']), 'c_1010_11' : negation(d['c_1001_4']), 'c_1010_10' : negation(d['c_1001_4']), 's_0_10' : negation(d['1']), 's_0_11' : 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_1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_4']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_12']), '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_5'], 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_1']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_1'])})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 100049/5980*c_1100_1^3 + 1510609/29900*c_1100_1^2 - 319659/5980*c_1100_1 + 598063/29900, c_0011_0 - 1, c_0011_10 + c_1100_1 - 1, c_0011_11 + 5/23*c_1100_1^3 - 31/23*c_1100_1^2 + 44/23*c_1100_1 - 6/23, c_0011_12 - 5/23*c_1100_1^3 + 31/23*c_1100_1^2 - 21/23*c_1100_1 + 6/23, c_0011_3 - 30/23*c_1100_1^3 + 71/23*c_1100_1^2 - 80/23*c_1100_1 + 36/23, c_0011_9 - 30/23*c_1100_1^3 + 71/23*c_1100_1^2 - 57/23*c_1100_1 + 13/23, c_0101_0 + c_1100_1 - 1, c_0101_1 - 1, c_0101_11 - 35/23*c_1100_1^3 + 102/23*c_1100_1^2 - 78/23*c_1100_1 - 4/23, c_0101_5 - c_1100_1, c_1001_0 + c_1100_1^2 - c_1100_1 + 1, c_1001_4 - 5/23*c_1100_1^3 + 8/23*c_1100_1^2 - 21/23*c_1100_1 + 6/23, c_1100_1^4 - 16/5*c_1100_1^3 + 4*c_1100_1^2 - 12/5*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB