Magma V2.19-8 Tue Aug 20 2013 23:40:29 on localhost [Seed = 3819276136] Type ? for help. Type -D to quit. Loading file "L11a319__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a319 geometric_solution 9.96454482 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 3 1 -4 -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 0.661896834384 1.070471903485 0 3 5 3 0132 1230 0132 2310 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 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 0.857715771911 0.994771410034 5 0 6 4 0132 0132 0132 0213 0 1 1 0 0 1 -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 0 0 0 -3 3 0 -3 0 0 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207990604380 0.673882169393 1 5 1 0 3201 2103 3012 0132 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 0 0 0 0 0 0 0 0 0 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 0.623159445194 0.267604697112 6 7 0 2 0132 0132 0132 0213 0 1 1 0 0 1 -1 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 -4 4 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784902471891 0.491961894057 2 3 8 1 0132 2103 0132 0132 1 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 1 -1 3 0 -4 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 0.661896834384 1.070471903485 4 9 8 2 0132 0132 3201 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 3 -3 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 0.732395302888 0.623159445194 9 4 10 9 3012 0132 0132 0132 0 0 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 4 -4 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502844509397 0.576596682245 6 10 10 5 2310 3120 3201 0132 1 1 1 0 0 0 0 0 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 1 0 -1 -1 0 -3 4 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582140457476 0.675795496576 10 6 7 7 2031 0132 0132 1230 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.764060732812 1.252707364086 8 8 9 7 2310 3120 1302 0132 0 0 1 1 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 0 4 1 0 -1 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268288182681 0.849429969323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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' : d['1'], 's_0_9' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(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' : d['1'], '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_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' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_1'], '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_10' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_5'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_9'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 725210/11*c_1001_0*c_1001_2^2 + 898376/11*c_1001_0*c_1001_2 + 400604/11*c_1001_0 + 579570/11*c_1001_2^2 + 717987/11*c_1001_2 + 319985/11, c_0011_0 - 1, c_0011_10 + 5*c_1001_0*c_1001_2^2 + 3*c_1001_0*c_1001_2 + 2*c_1001_0 - 1, c_0011_4 - 10*c_1001_0*c_1001_2^2 - 11*c_1001_0*c_1001_2 - 4*c_1001_0 + 10*c_1001_2^2 + 11*c_1001_2 + 4, c_0011_8 + 10*c_1001_0*c_1001_2^2 + 11*c_1001_0*c_1001_2 + 4*c_1001_0 - 5*c_1001_2^2 - 3*c_1001_2 - 1, c_0101_0 - 1, c_0101_1 - 5*c_1001_0*c_1001_2^2 - 3*c_1001_0*c_1001_2 - c_1001_0 + 1, c_0101_5 + 15*c_1001_0*c_1001_2^2 + 14*c_1001_0*c_1001_2 + 4*c_1001_0 - 5*c_1001_2^2 - 3*c_1001_2 - 1, c_0101_7 - 15*c_1001_0*c_1001_2^2 - 19*c_1001_0*c_1001_2 - 7*c_1001_0 + 10*c_1001_2^2 + 11*c_1001_2 + 4, c_0101_9 + c_1001_0 - c_1001_2 - 1, c_1001_0^2 - c_1001_2 - 1, c_1001_2^3 + 8/5*c_1001_2^2 + c_1001_2 + 1/5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1263175/384*c_1001_2^7 - 2054159/192*c_1001_2^6 - 3211771/192*c_1001_2^5 - 3713491/192*c_1001_2^4 - 2499445/128*c_1001_2^3 - 488841/32*c_1001_2^2 - 2802739/384*c_1001_2 - 301759/192, c_0011_0 - 1, c_0011_10 + 425/24*c_1001_2^7 + 289/12*c_1001_2^6 + 179/12*c_1001_2^5 + 209/12*c_1001_2^4 + 87/8*c_1001_2^3 - 6*c_1001_2^2 - 235/24*c_1001_2 - 31/12, c_0011_4 + 175*c_1001_2^7 + 951/2*c_1001_2^6 + 1357/2*c_1001_2^5 + 764*c_1001_2^4 + 755*c_1001_2^3 + 541*c_1001_2^2 + 451/2*c_1001_2 + 40, c_0011_8 - 1225/24*c_1001_2^7 - 1283/12*c_1001_2^6 - 1675/12*c_1001_2^5 - 1849/12*c_1001_2^4 - 1155/8*c_1001_2^3 - 181/2*c_1001_2^2 - 745/24*c_1001_2 - 49/12, c_0101_0 - 1, c_0101_1 - 425/12*c_1001_2^7 - 257/3*c_1001_2^6 - 635/6*c_1001_2^5 - 352/3*c_1001_2^4 - 449/4*c_1001_2^3 - 70*c_1001_2^2 - 257/12*c_1001_2 - 11/6, c_0101_5 + 25/12*c_1001_2^7 + 121/3*c_1001_2^6 + 343/6*c_1001_2^5 + 379/6*c_1001_2^4 + 277/4*c_1001_2^3 + 111/2*c_1001_2^2 + 259/12*c_1001_2 + 19/6, c_0101_7 + 5125/24*c_1001_2^7 + 7235/12*c_1001_2^6 + 10585/12*c_1001_2^5 + 11959/12*c_1001_2^4 + 7923/8*c_1001_2^3 + 1457/2*c_1001_2^2 + 7561/24*c_1001_2 + 697/12, c_0101_9 + 425/24*c_1001_2^7 + 739/12*c_1001_2^6 + 1091/12*c_1001_2^5 + 1199/12*c_1001_2^4 + 811/8*c_1001_2^3 + 76*c_1001_2^2 + 725/24*c_1001_2 + 41/12, c_1001_0 + 425/24*c_1001_2^7 + 739/12*c_1001_2^6 + 1091/12*c_1001_2^5 + 1199/12*c_1001_2^4 + 811/8*c_1001_2^3 + 76*c_1001_2^2 + 749/24*c_1001_2 + 53/12, c_1001_2^8 + 84/25*c_1001_2^7 + 142/25*c_1001_2^6 + 174/25*c_1001_2^5 + 181/25*c_1001_2^4 + 6*c_1001_2^3 + 17/5*c_1001_2^2 + 28/25*c_1001_2 + 4/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB