Magma V2.19-8 Wed Aug 21 2013 01:05:10 on localhost [Seed = 4004050544] Type ? for help. Type -D to quit. Loading file "L14n25100__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25100 geometric_solution 11.47173594 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 0 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 1 -1 0 0 -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 0.522805488599 0.825090831584 0 5 3 6 0132 0132 2310 0132 0 1 0 1 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 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 0.812459924557 0.590977628691 7 0 9 8 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701690891934 0.702081364484 9 1 10 0 1230 3201 0132 0132 1 1 0 1 0 -1 1 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 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 0.522805488599 0.825090831584 10 11 0 6 1230 0132 0132 2103 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.814694020591 1.225319600397 12 1 11 9 0132 0132 1023 3012 0 1 1 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 0 -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 0.689726835964 0.257805814266 8 7 1 4 0213 0213 0132 2103 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385143256413 0.847167181046 2 11 6 12 0132 1023 0213 2103 0 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 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 0 0 0 0 0 0 0 0 0 1.014822178409 0.565679510633 6 9 2 12 0213 1023 0132 1302 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.892770045521 0.894565558908 8 3 5 2 1023 3012 1230 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.044992461198 0.790104572786 11 4 12 3 3201 3012 3012 0132 1 1 1 0 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 1 0 -1 -1 0 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 0.814694020591 1.225319600397 7 4 5 10 1023 0132 1023 2310 1 0 1 0 0 0 0 0 1 0 -1 0 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 1 0 -1 -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 0.676348353863 0.359982286229 5 10 8 7 0132 1230 2031 2103 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892770045521 0.894565558908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_1']), '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_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : 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' : negation(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_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : 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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), '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' : negation(d['1']), 'c_0011_9' : d['c_0011_8'], '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' : d['c_0011_6'], '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' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_8'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0110_6']), 'c_0110_1' : d['c_0011_8'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_8'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} 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_6, c_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 27363/5456*c_0101_9^3*c_0110_6^2 - 65833/5456*c_0101_9^3*c_0110_6 + 1261/682*c_0101_9^3 + 100579/10912*c_0101_9^2*c_0110_6^2 - 222891/10912*c_0101_9^2*c_0110_6 + 19311/5456*c_0101_9^2 + 382/341*c_0101_9*c_0110_6^2 - 20083/2728*c_0101_9*c_0110_6 + 6189/2728*c_0101_9 - 18929/10912*c_0110_6^2 + 66085/10912*c_0110_6 + 19857/5456, c_0011_0 - 1, c_0011_10 + 1/2*c_0101_9^3*c_0110_6^2 - 3/2*c_0101_9^3*c_0110_6 + 5/4*c_0101_9^2*c_0110_6^2 - 5/4*c_0101_9^2*c_0110_6 - 1/2*c_0101_9^2 - c_0101_9*c_0110_6^2 + c_0101_9*c_0110_6 - c_0101_9 + 1/4*c_0110_6^2 - 1/4*c_0110_6 + 1/2, c_0011_6 + 1/2*c_0101_9^3*c_0110_6^2 - 3/2*c_0101_9^3*c_0110_6 + 5/4*c_0101_9^2*c_0110_6^2 - 5/4*c_0101_9^2*c_0110_6 - 1/2*c_0101_9^2 - 2*c_0101_9 + 1/4*c_0110_6^2 - 1/4*c_0110_6 + 1/2, c_0011_8 - 1/2*c_0101_9^3*c_0110_6 + 1/2*c_0101_9^3 + 1/4*c_0101_9^2*c_0110_6 + 1/4*c_0101_9^2 - 3/4*c_0110_6 + 1/4, c_0101_1 - 1, c_0101_10 - c_0101_9^3*c_0110_6^2 + 3/2*c_0101_9^3*c_0110_6 + 1/2*c_0101_9^3 + 3/4*c_0101_9^2*c_0110_6 + 7/4*c_0101_9^2 - c_0101_9*c_0110_6^2 + 3/4*c_0110_6 + 3/4, c_0101_11 + 3/2*c_0101_9^3*c_0110_6^2 - 3*c_0101_9^3*c_0110_6 + 1/2*c_0101_9^3 + 3/4*c_0101_9^2*c_0110_6^2 - 5/2*c_0101_9^2*c_0110_6 - 5/4*c_0101_9^2 + 2*c_0101_9*c_0110_6 - c_0101_9 - 1/4*c_0110_6^2 - 1/2*c_0110_6 + 3/4, c_0101_12 + 1/4*c_0101_9^3*c_0110_6 + 1/4*c_0101_9^3 - 1/4*c_0101_9^2*c_0110_6^2 - 7/8*c_0101_9^2*c_0110_6 - 1/8*c_0101_9^2 + 3/2*c_0101_9*c_0110_6^2 - 1/2*c_0101_9*c_0110_6 - 3/4*c_0110_6^2 + 5/8*c_0110_6 - 9/8, c_0101_2 - 1/2*c_0101_9^3*c_0110_6^2 + 3/4*c_0101_9^3*c_0110_6 + 1/4*c_0101_9^3 + 3/8*c_0101_9^2*c_0110_6 + 7/8*c_0101_9^2 - 1/2*c_0101_9*c_0110_6^2 + 1/2*c_0101_9 + 1/2*c_0110_6^2 - 5/8*c_0110_6 + 3/8, c_0101_3 + 1/2*c_0101_9^3*c_0110_6^2 - 3/2*c_0101_9^3*c_0110_6 + 5/4*c_0101_9^2*c_0110_6^2 - 5/4*c_0101_9^2*c_0110_6 - 1/2*c_0101_9^2 - c_0101_9*c_0110_6 - c_0101_9 + 1/4*c_0110_6^2 - 1/4*c_0110_6 - 1/2, c_0101_5 + 1/2*c_0101_9^3*c_0110_6 - 1/2*c_0101_9^3 - c_0101_9^2*c_0110_6^2 + 3/4*c_0101_9^2*c_0110_6 + 3/4*c_0101_9^2 + c_0101_9*c_0110_6^2 - c_0101_9*c_0110_6 + c_0101_9 - 5/4*c_0110_6 - 1/4, c_0101_9^4 - 1/2*c_0101_9^3*c_0110_6^2 - 3/2*c_0101_9^3*c_0110_6 + c_0101_9^3 + 5/2*c_0101_9^2*c_0110_6^2 - 3/2*c_0101_9^2*c_0110_6 + c_0101_9^2 - 3/2*c_0101_9*c_0110_6^2 - 1/2*c_0101_9*c_0110_6 - c_0101_9 + 1/2*c_0110_6^2 + 1/2*c_0110_6 + 1, c_0110_6^3 - 2*c_0110_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.660 seconds, Total memory usage: 32.09MB