Magma V2.19-8 Tue Aug 20 2013 23:40:23 on localhost [Seed = 1646528228] Type ? for help. Type -D to quit. Loading file "L10n51__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n51 geometric_solution 10.10265286 oriented_manifold CS_known -0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 -1 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 0 0 0 0 -1 1 0 0 0 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676752821085 0.433697761729 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693931135706 0.735020445448 8 0 3 5 0132 0132 3201 0132 0 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001872194708 1.082066840454 2 6 7 0 2310 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 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 0.534792011912 0.711229760283 7 6 0 9 0132 0321 0132 0132 0 1 0 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 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 1.696721844436 1.125107175050 10 1 2 8 0132 0132 0132 0132 0 1 1 1 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 1 -1 -1 0 0 1 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037059912999 1.569832249737 8 3 1 4 3201 0132 0132 0321 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 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 0.308351273235 0.791218125161 4 9 3 1 0132 3120 3120 0132 0 1 1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234749617387 0.557099082094 2 10 5 6 0132 0132 0132 2310 0 1 1 1 0 0 0 0 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 -1 1 0 0 0 -1 1 3 -3 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426685455335 0.651563860923 10 7 4 10 3120 3120 0132 0132 0 1 1 0 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 -1 0 1 1 0 -1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637018304461 1.274061122916 5 8 9 9 0132 0132 0132 3120 0 1 1 1 0 0 0 0 0 0 0 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 -1 0 1 0 0 -1 -1 -2 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686046944734 0.627918192200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0011_3']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0101_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 11084/3787*c_1001_3^7 - 22338/3787*c_1001_3^6 + 100488/3787*c_1001_3^5 - 143350/3787*c_1001_3^4 - 116567/3787*c_1001_3^3 + 283275/3787*c_1001_3^2 - 123145/3787*c_1001_3 + 31120/3787, c_0011_0 - 1, c_0011_3 - 325/541*c_1001_3^7 + 806/541*c_1001_3^6 - 3654/541*c_1001_3^5 + 6701/541*c_1001_3^4 - 3403/541*c_1001_3^3 - 171/541*c_1001_3^2 + 412/541*c_1001_3 - 457/541, c_0011_4 - c_1001_3, c_0011_9 + 261/541*c_1001_3^7 - 604/541*c_1001_3^6 + 2753/541*c_1001_3^5 - 4639/541*c_1001_3^4 + 1005/541*c_1001_3^3 + 2566/541*c_1001_3^2 - 494/541*c_1001_3 - 169/541, c_0101_0 - 288/541*c_1001_3^7 + 909/541*c_1001_3^6 - 3784/541*c_1001_3^5 + 8197/541*c_1001_3^4 - 7545/541*c_1001_3^3 + 2392/541*c_1001_3^2 + 1254/541*c_1001_3 - 1194/541, c_0101_1 - 367/541*c_1001_3^7 + 1040/541*c_1001_3^6 - 4296/541*c_1001_3^5 + 8629/541*c_1001_3^4 - 4740/541*c_1001_3^3 - 1896/541*c_1001_3^2 + 2015/541*c_1001_3 - 293/541, c_0101_10 - 320/541*c_1001_3^7 + 1010/541*c_1001_3^6 - 3964/541*c_1001_3^5 + 8687/541*c_1001_3^4 - 6039/541*c_1001_3^3 - 468/541*c_1001_3^2 + 1213/541*c_1001_3 - 425/541, c_0101_3 - 92/541*c_1001_3^7 + 358/541*c_1001_3^6 - 1329/541*c_1001_3^5 + 3167/541*c_1001_3^4 - 3109/541*c_1001_3^3 - 378/541*c_1001_3^2 + 1708/541*c_1001_3 - 156/541, c_0101_7 - 45/541*c_1001_3^7 + 328/541*c_1001_3^6 - 997/541*c_1001_3^5 + 3225/541*c_1001_3^4 - 4408/541*c_1001_3^3 + 1050/541*c_1001_3^2 + 906/541*c_1001_3 - 288/541, c_1001_0 - 1, c_1001_3^8 - 3*c_1001_3^7 + 12*c_1001_3^6 - 25*c_1001_3^5 + 15*c_1001_3^4 + 7*c_1001_3^3 - 8*c_1001_3^2 + c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB