Magma V2.19-8 Wed Aug 21 2013 00:50:53 on localhost [Seed = 2277610132] Type ? for help. Type -D to quit. Loading file "L10a45__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a45 geometric_solution 12.55175922 oriented_manifold CS_known -0.0000000000000002 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849761834603 0.849568043543 0 5 7 6 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 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 0.474192198358 0.635502168041 8 0 9 5 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 0 5 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450925618790 0.516142393049 10 11 5 0 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 1 0 -1 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 0.474192198358 0.635502168041 5 9 0 12 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 0.450925618790 0.516142393049 4 1 2 3 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 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 0.849761834603 0.849568043543 10 11 1 10 2103 0213 0132 3201 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 -1 0 1 -1 0 0 1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503460646789 1.003837405595 10 11 11 1 3120 0321 3201 0132 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 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503460646789 1.003837405595 2 9 12 12 0132 1023 2103 3201 1 1 1 1 0 -1 0 1 1 0 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 -5 0 5 6 0 0 -6 -1 0 0 1 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272863915509 0.934099289461 8 4 12 2 1023 0132 0132 0132 1 1 1 1 0 0 0 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 0 0 0 5 0 0 -5 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.343814597201 1.358434599729 3 6 6 7 0132 2310 2103 3120 0 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 -1 2 -1 -1 0 1 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503460646789 1.003837405595 7 3 6 7 2310 0132 0213 0321 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 0 0 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 0.503460646789 1.003837405595 8 8 4 9 2103 2310 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 6 0 -6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272863915509 0.934099289461 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0101_2']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : 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_0011_6'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : 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_10'], 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_0'], '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' : 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_0011_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0011_12'], 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_7']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2386/27225*c_1001_2^3 + 5237/36300*c_1001_2^2 + 2323/21780*c_1001_2 - 10103/108900, c_0011_0 - 1, c_0011_10 + c_1001_2^2 - c_1001_2 - 1, c_0011_12 - 1/2*c_1001_2^3 - 1/2*c_1001_2^2 + 1/2*c_1001_2 + 1, c_0011_6 - 1, c_0011_7 + 1, c_0101_0 + 1/2*c_1001_2^3 + c_1001_2^2 - c_1001_2 - 1/2, c_0101_1 + 1/2*c_1001_2^3 + 1/2, c_0101_12 + c_1001_2, c_0101_2 + 1/2*c_1001_2^2 + 1/2*c_1001_2 - 1/2, c_1001_0 + 1/2*c_1001_2^3 + 1/2, c_1001_1 + 1/2*c_1001_2^3 + c_1001_2^2 - c_1001_2 - 1/2, c_1001_2^4 - c_1001_2^2 - 2*c_1001_2 + 3, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 523/128*c_1001_2^4 - 749/128*c_1001_2^3 - 379/32*c_1001_2^2 + 825/64*c_1001_2 + 2029/128, c_0011_0 - 1, c_0011_10 + c_1001_2^4 - c_1001_2^3 - 4*c_1001_2^2 + 2*c_1001_2 + 5, c_0011_12 - c_1001_2^3 + 2*c_1001_2^2 + c_1001_2 - 2, c_0011_6 - 1, c_0011_7 + 1, c_0101_0 - c_1001_2^2 + 2, c_0101_1 - c_1001_2^4 + c_1001_2^3 + 3*c_1001_2^2 - 2*c_1001_2 - 3, c_0101_12 + c_1001_2, c_0101_2 + c_1001_2^2 - c_1001_2 - 1, c_1001_0 - c_1001_2^4 + c_1001_2^3 + 3*c_1001_2^2 - 2*c_1001_2 - 3, c_1001_1 - c_1001_2^2 + 2, c_1001_2^5 - 3*c_1001_2^4 + 6*c_1001_2^2 - c_1001_2 - 4, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 14947105/23716*c_1001_2^7 + 42147983/23716*c_1001_2^6 + 2852327/11858*c_1001_2^5 - 99982453/23716*c_1001_2^4 + 16947915/11858*c_1001_2^3 + 22851683/5929*c_1001_2^2 - 23467399/11858*c_1001_2 - 13776857/23716, c_0011_0 - 1, c_0011_10 - 205*c_1001_2^7 + 583*c_1001_2^6 + 70*c_1001_2^5 - 1385*c_1001_2^4 + 486*c_1001_2^3 + 1270*c_1001_2^2 - 662*c_1001_2 - 195, c_0011_12 - 210*c_1001_2^7 + 1187/2*c_1001_2^6 + 79*c_1001_2^5 - 1409*c_1001_2^4 + 957/2*c_1001_2^3 + 2579/2*c_1001_2^2 - 1321/2*c_1001_2 - 391/2, c_0011_6 - 1, c_0011_7 - 1, c_0101_0 - 365/2*c_1001_2^7 + 522*c_1001_2^6 + 59*c_1001_2^5 - 2479/2*c_1001_2^4 + 879/2*c_1001_2^3 + 2273/2*c_1001_2^2 - 1189/2*c_1001_2 - 174, c_0101_1 - 45/2*c_1001_2^7 + 61*c_1001_2^6 + 11*c_1001_2^5 - 291/2*c_1001_2^4 + 93/2*c_1001_2^3 + 267/2*c_1001_2^2 - 135/2*c_1001_2 - 21, c_0101_12 + c_1001_2, c_0101_2 - 45/2*c_1001_2^7 + 127/2*c_1001_2^6 + 7*c_1001_2^5 - 299/2*c_1001_2^4 + 55*c_1001_2^3 + 136*c_1001_2^2 - 74*c_1001_2 - 41/2, c_1001_0 - 45/2*c_1001_2^7 + 61*c_1001_2^6 + 11*c_1001_2^5 - 291/2*c_1001_2^4 + 93/2*c_1001_2^3 + 267/2*c_1001_2^2 - 135/2*c_1001_2 - 21, c_1001_1 - 365/2*c_1001_2^7 + 522*c_1001_2^6 + 59*c_1001_2^5 - 2479/2*c_1001_2^4 + 879/2*c_1001_2^3 + 2273/2*c_1001_2^2 - 1189/2*c_1001_2 - 174, c_1001_2^8 - 13/5*c_1001_2^7 - c_1001_2^6 + 33/5*c_1001_2^5 - 4/5*c_1001_2^4 - 33/5*c_1001_2^3 + 9/5*c_1001_2^2 + 8/5*c_1001_2 + 1/5, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB