Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 678016239] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0247 geometric_solution 4.27777026 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 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 -0.577771787908 0.909660109976 0 0 4 4 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.084444130342 0.578193462748 3 0 6 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 0 -1 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 0.320554549410 0.414296167532 5 6 2 0 1230 0213 3201 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 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 0 0 0 0 0.320554549410 0.414296167532 4 1 1 4 3201 3201 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.562076072455 0.052227049231 6 3 2 6 1302 3012 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 -1 0 0 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 1.151503925579 1.158738034882 5 5 3 2 3120 2031 0213 0132 0 0 0 0 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 -1 0 1 -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 0.568504545572 0.434206244389 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0011_5'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 295664/565*c_0101_2^8 - 984188/565*c_0101_2^7 + 361101/113*c_0101_2^6 - 4389231/1130*c_0101_2^5 + 3579547/1130*c_0101_2^4 - 234145/113*c_0101_2^3 + 117239/113*c_0101_2^2 - 39137/113*c_0101_2 + 79541/1130, c_0011_0 - 1, c_0011_3 + 1072/113*c_0101_2^8 - 2812/113*c_0101_2^7 + 4945/113*c_0101_2^6 - 11329/226*c_0101_2^5 + 9065/226*c_0101_2^4 - 3299/113*c_0101_2^3 + 1435/113*c_0101_2^2 - 585/113*c_0101_2 + 193/226, c_0011_4 + 1208/113*c_0101_2^8 - 5874/113*c_0101_2^7 + 25295/226*c_0101_2^6 - 17665/113*c_0101_2^5 + 33391/226*c_0101_2^4 - 11286/113*c_0101_2^3 + 6401/113*c_0101_2^2 - 4813/226*c_0101_2 + 925/226, c_0011_5 - 472/113*c_0101_2^8 + 1906/113*c_0101_2^7 - 7839/226*c_0101_2^6 + 10047/226*c_0101_2^5 - 4278/113*c_0101_2^4 + 2494/113*c_0101_2^3 - 1056/113*c_0101_2^2 + 785/226*c_0101_2 + 6/113, c_0011_6 - c_0101_2, c_0101_1 + 4576/113*c_0101_2^8 - 16456/113*c_0101_2^7 + 31518/113*c_0101_2^6 - 39536/113*c_0101_2^5 + 33132/113*c_0101_2^4 - 21063/113*c_0101_2^3 + 10460/113*c_0101_2^2 - 3585/113*c_0101_2 + 616/113, c_0101_2^9 - 15/4*c_0101_2^8 + 121/16*c_0101_2^7 - 81/8*c_0101_2^6 + 75/8*c_0101_2^5 - 107/16*c_0101_2^4 + 15/4*c_0101_2^3 - 25/16*c_0101_2^2 + 7/16*c_0101_2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB