Magma V2.19-8 Tue Aug 20 2013 23:48:39 on localhost [Seed = 1393900017] Type ? for help. Type -D to quit. Loading file "L12a1233__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1233 geometric_solution 10.21254361 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 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 -1 0 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 0.432621693399 1.262753617381 0 0 5 4 0132 1230 0132 0132 1 1 0 1 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 -6 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296054638969 0.658897356403 6 0 3 6 0132 0132 3201 2031 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 -1 0 0 0 0 0 8 -1 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514374254272 1.417463979425 2 7 0 5 2310 0132 0132 2031 1 1 1 1 0 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 7 -1 -6 0 0 0 0 0 -7 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226219388737 0.623394021607 8 8 1 9 0132 1302 0132 0132 1 1 1 0 0 0 0 0 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 0 0 0 6 0 -6 0 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296054638969 0.658897356403 9 3 10 1 1230 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 -1 1 -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 1 0 -7 6 -6 6 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362735773137 1.124520364927 2 2 8 7 0132 1302 3012 3120 1 1 1 0 0 0 -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 -7 7 0 0 6 -6 0 0 0 0 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773780611263 0.623394021607 6 3 8 9 3120 0132 3120 3120 1 1 1 1 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 -7 7 0 6 0 -6 0 0 1 0 -1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.226219388737 0.623394021607 4 6 7 4 0132 1230 3120 2031 1 1 0 1 0 -1 0 1 -1 0 1 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 -6 0 6 -6 0 6 0 0 -1 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757187127136 0.708731989712 7 5 4 10 3120 3012 0132 3201 1 1 1 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 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362735773137 1.124520364927 11 9 11 5 0132 2310 1023 0132 1 1 1 1 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 0 -7 7 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657178744273 0.785589050939 10 11 10 11 0132 1302 1023 2031 1 1 1 1 0 0 1 -1 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 0 7 -7 0 0 0 0 0 7 0 -7 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520971052029 0.148872912324 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : 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' : 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_2_11' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0011_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' : 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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_9'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_9'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 12571409/796995584*c_1001_1^5 + 101215353/796995584*c_1001_1^4 - 77993161/199248896*c_1001_1^3 + 500905257/796995584*c_1001_1^2 - 489057643/796995584*c_1001_1 + 234830429/796995584, c_0011_0 - 1, c_0011_10 + c_1001_1^2 - 2*c_1001_1 + 1, c_0011_3 - c_1001_1^5 + 7*c_1001_1^4 - 20*c_1001_1^3 + 33*c_1001_1^2 - 33*c_1001_1 + 17, c_0011_4 - 1, c_0011_5 - 1, c_0011_9 - 1, c_0101_0 - c_1001_1 + 1, c_0101_10 + c_1001_1^5 - 6*c_1001_1^4 + 14*c_1001_1^3 - 18*c_1001_1^2 + 13*c_1001_1 - 4, c_0101_11 + c_1001_1^5 - 7*c_1001_1^4 + 20*c_1001_1^3 - 33*c_1001_1^2 + 32*c_1001_1 - 15, c_0101_2 - c_1001_1^5 + 7*c_1001_1^4 - 20*c_1001_1^3 + 33*c_1001_1^2 - 33*c_1001_1 + 18, c_0101_8 + c_1001_1, c_1001_1^6 - 8*c_1001_1^5 + 27*c_1001_1^4 - 53*c_1001_1^3 + 66*c_1001_1^2 - 50*c_1001_1 + 19 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 12934/325*c_1001_1^9 - 153259/325*c_1001_1^8 + 801562/325*c_1001_1^7 - 2486932/325*c_1001_1^6 + 5161664/325*c_1001_1^5 - 7530006/325*c_1001_1^4 + 7750034/325*c_1001_1^3 - 418554/25*c_1001_1^2 + 2357599/325*c_1001_1 - 456581/325, c_0011_0 - 1, c_0011_10 + c_1001_1^2 - 2*c_1001_1 + 1, c_0011_3 + c_1001_1^9 - 11*c_1001_1^8 + 54*c_1001_1^7 - 160*c_1001_1^6 + 322*c_1001_1^5 - 460*c_1001_1^4 + 469*c_1001_1^3 - 331*c_1001_1^2 + 148*c_1001_1 - 32, c_0011_4 - c_1001_1^8 + 10*c_1001_1^7 - 44*c_1001_1^6 + 115*c_1001_1^5 - 200*c_1001_1^4 + 239*c_1001_1^3 - 193*c_1001_1^2 + 97*c_1001_1 - 23, c_0011_5 - c_1001_1^9 + 12*c_1001_1^8 - 64*c_1001_1^7 + 204*c_1001_1^6 - 437*c_1001_1^5 + 660*c_1001_1^4 - 708*c_1001_1^3 + 524*c_1001_1^2 - 245*c_1001_1 + 56, c_0011_9 - 1, c_0101_0 - c_1001_1 + 1, c_0101_10 + c_1001_1^5 - 6*c_1001_1^4 + 14*c_1001_1^3 - 18*c_1001_1^2 + 13*c_1001_1 - 4, c_0101_11 - c_1001_1^8 + 10*c_1001_1^7 - 43*c_1001_1^6 + 108*c_1001_1^5 - 179*c_1001_1^4 + 202*c_1001_1^3 - 152*c_1001_1^2 + 70*c_1001_1 - 15, c_0101_2 + c_1001_1^9 - 10*c_1001_1^8 + 44*c_1001_1^7 - 116*c_1001_1^6 + 207*c_1001_1^5 - 260*c_1001_1^4 + 230*c_1001_1^3 - 138*c_1001_1^2 + 51*c_1001_1 - 9, c_0101_8 + 2*c_1001_1^9 - 23*c_1001_1^8 + 118*c_1001_1^7 - 363*c_1001_1^6 + 752*c_1001_1^5 - 1099*c_1001_1^4 + 1140*c_1001_1^3 - 814*c_1001_1^2 + 365*c_1001_1 - 79, c_1001_1^10 - 13*c_1001_1^9 + 76*c_1001_1^8 - 268*c_1001_1^7 + 642*c_1001_1^6 - 1104*c_1001_1^5 + 1389*c_1001_1^4 - 1269*c_1001_1^3 + 810*c_1001_1^2 - 328*c_1001_1 + 65 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB