Magma V2.19-8 Wed Aug 21 2013 00:50:58 on localhost [Seed = 2101045360] Type ? for help. Type -D to quit. Loading file "L10a90__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a90 geometric_solution 11.72202299 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 0 0 0 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 1 -2 -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 0.283430880684 1.218933075894 0 0 4 4 0132 1230 2031 0132 0 0 1 0 0 0 -1 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 0 -2 2 1 0 0 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358415534324 0.609689334811 5 0 7 6 0132 0132 0132 0132 0 0 1 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 -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 0.275227776559 0.472341385539 7 7 0 8 2103 3120 0132 0132 0 0 0 0 0 0 1 -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 0 2 -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 0 0 0 0 0.276463124011 0.686094634521 8 9 1 1 3012 0132 0132 1302 0 0 0 1 0 1 -1 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 2 -2 0 0 0 1 -1 0 -2 0 2 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358415534324 0.609689334811 2 6 10 11 0132 2103 0132 0132 1 0 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 4 -1 -3 -1 0 0 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 0.881145869011 0.824971709547 12 5 2 8 0132 2103 0132 3120 0 0 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 1 -1 0 0 0 0 0 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068744291851 1.093292462704 9 3 3 2 2310 3120 2103 0132 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 0 0 0 0 0 0 -0.254976660565 1.086428158006 6 9 3 4 3120 0321 0132 1230 0 0 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 -2 2 0 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 0.332116440825 0.604545705867 12 4 7 8 2031 0132 3201 0321 0 0 1 0 0 -1 0 1 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 -2 0 2 0 0 0 0 3 -3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.497744486849 0.469360375139 12 11 11 5 3120 0321 2103 0132 1 0 1 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 -1 1 2 0 -2 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 0.895858072793 0.715172960363 10 12 5 10 2103 3120 0132 0321 1 0 1 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 -3 3 0 2 0 -1 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895858072793 0.715172960363 6 11 9 10 0132 3120 1302 3120 0 0 1 1 0 0 0 0 0 0 1 -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 0 2 -2 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395231250561 0.566213979605 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), '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'], 'c_0101_12' : d['c_0011_4'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_4'], 's_2_9' : negation(d['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_12, c_0011_3, c_0011_4, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 5838/1021*c_0110_4^15 + 118226/1021*c_0110_4^14 - 1109507/1021*c_0110_4^13 + 6418413/1021*c_0110_4^12 - 25658550/1021*c_0110_4^11 + 150401701/2042*c_0110_4^10 - 166919938/1021*c_0110_4^9 + 284955728/1021*c_0110_4^8 - 374455045/1021*c_0110_4^7 + 372599891/1021*c_0110_4^6 - 267943323/1021*c_0110_4^5 + 122046820/1021*c_0110_4^4 - 16255877/1021*c_0110_4^3 - 19382925/1021*c_0110_4^2 + 13415610/1021*c_0110_4 - 3043581/1021, c_0011_0 - 1, c_0011_10 - 1/3*c_0110_4^15 + 7*c_0110_4^14 - 69*c_0110_4^13 + 1277/3*c_0110_4^12 - 1846*c_0110_4^11 + 17945/3*c_0110_4^10 - 44998/3*c_0110_4^9 + 89084/3*c_0110_4^8 - 140593/3*c_0110_4^7 + 177085/3*c_0110_4^6 - 176701/3*c_0110_4^5 + 137213/3*c_0110_4^4 - 26739*c_0110_4^3 + 33248/3*c_0110_4^2 - 8675/3*c_0110_4 + 1055/3, c_0011_12 - 1/9*c_0110_4^15 + 2*c_0110_4^14 - 49/3*c_0110_4^13 + 716/9*c_0110_4^12 - 757/3*c_0110_4^11 + 4640/9*c_0110_4^10 - 4723/9*c_0110_4^9 - 4774/9*c_0110_4^8 + 31175/9*c_0110_4^7 - 71990/9*c_0110_4^6 + 109322/9*c_0110_4^5 - 120094/9*c_0110_4^4 + 32225/3*c_0110_4^3 - 55288/9*c_0110_4^2 + 20515/9*c_0110_4 - 3814/9, c_0011_3 + c_0110_4^2 - 2*c_0110_4 + 1, c_0011_4 - 1, c_0011_7 + c_0110_4^5 - 6*c_0110_4^4 + 14*c_0110_4^3 - 18*c_0110_4^2 + 13*c_0110_4 - 4, c_0011_8 + 1/3*c_0110_4^15 - 7*c_0110_4^14 + 69*c_0110_4^13 - 1277/3*c_0110_4^12 + 1847*c_0110_4^11 - 17993/3*c_0110_4^10 + 45349/3*c_0110_4^9 - 90647/3*c_0110_4^8 + 145345/3*c_0110_4^7 - 187525/3*c_0110_4^6 + 193729/3*c_0110_4^5 - 157958/3*c_0110_4^4 + 32943*c_0110_4^3 - 45041/3*c_0110_4^2 + 13466/3*c_0110_4 - 2009/3, c_0101_0 - 1/3*c_0110_4^15 + 7*c_0110_4^14 - 69*c_0110_4^13 + 1277/3*c_0110_4^12 - 1847*c_0110_4^11 + 17993/3*c_0110_4^10 - 45349/3*c_0110_4^9 + 90647/3*c_0110_4^8 - 145345/3*c_0110_4^7 + 187525/3*c_0110_4^6 - 193729/3*c_0110_4^5 + 157961/3*c_0110_4^4 - 32949*c_0110_4^3 + 45083/3*c_0110_4^2 - 13517/3*c_0110_4 + 2039/3, c_0101_1 - 1, c_0101_10 + c_0110_4^6 - 8*c_0110_4^5 + 27*c_0110_4^4 - 52*c_0110_4^3 + 62*c_0110_4^2 - 44*c_0110_4 + 15, c_0101_5 - 1/3*c_0110_4^15 + 7*c_0110_4^14 - 69*c_0110_4^13 + 1277/3*c_0110_4^12 - 1847*c_0110_4^11 + 17993/3*c_0110_4^10 - 45349/3*c_0110_4^9 + 90647/3*c_0110_4^8 - 145345/3*c_0110_4^7 + 187525/3*c_0110_4^6 - 193729/3*c_0110_4^5 + 157958/3*c_0110_4^4 - 32943*c_0110_4^3 + 45041/3*c_0110_4^2 - 13466/3*c_0110_4 + 2009/3, c_0101_8 - c_0110_4^3 + 4*c_0110_4^2 - 6*c_0110_4 + 4, c_0110_4^16 - 22*c_0110_4^15 + 228*c_0110_4^14 - 1484*c_0110_4^13 + 6818*c_0110_4^12 - 23534*c_0110_4^11 + 63342*c_0110_4^10 - 135996*c_0110_4^9 + 235992*c_0110_4^8 - 332870*c_0110_4^7 + 381254*c_0110_4^6 - 351690*c_0110_4^5 + 256808*c_0110_4^4 - 143930*c_0110_4^3 + 58600*c_0110_4^2 - 15556*c_0110_4 + 2042 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB