Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3052677462] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0591 geometric_solution 4.60667762 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 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 0.569052905840 0.337478841322 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 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 1 -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 0.699941115642 0.771004526013 1 3 0 1 1230 3201 0132 1302 0 0 0 0 0 -1 0 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 -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 0.699941115642 0.771004526013 1 4 2 4 0132 0132 2310 1023 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.823280164165 1.124787911811 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.727269476154 0.349997996000 4 6 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810990808910 0.106251114648 6 5 6 5 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.852680808734 0.058149031740 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : 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_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} 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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 37682/13825*c_0101_6^9 - 6786/13825*c_0101_6^8 - 482858/13825*c_0101_6^7 - 96042/13825*c_0101_6^6 + 34172/1975*c_0101_6^5 - 260044/13825*c_0101_6^4 + 312449/13825*c_0101_6^3 + 36296/2765*c_0101_6^2 - 37833/2765*c_0101_6 + 22481/13825, c_0011_0 - 1, c_0011_1 + 8616/13825*c_0101_2*c_0101_6^9 + 4148/13825*c_0101_2*c_0101_6^8 + 112604/13825*c_0101_2*c_0101_6^7 + 56516/13825*c_0101_2*c_0101_6^6 - 3651/1975*c_0101_2*c_0101_6^5 + 61977/13825*c_0101_2*c_0101_6^4 - 61442/13825*c_0101_2*c_0101_6^3 - 5592/2765*c_0101_2*c_0101_6^2 + 751/2765*c_0101_2*c_0101_6 + 67/13825*c_0101_2, c_0101_1 - 7737/13825*c_0101_6^9 - 6201/13825*c_0101_6^8 - 101328/13825*c_0101_6^7 - 83472/13825*c_0101_6^6 + 2827/1975*c_0101_6^5 - 51704/13825*c_0101_6^4 + 38809/13825*c_0101_6^3 + 13526/2765*c_0101_6^2 + 277/2765*c_0101_6 + 4096/13825, c_0101_2^2 + 7737/13825*c_0101_6^9 + 6201/13825*c_0101_6^8 + 101328/13825*c_0101_6^7 + 83472/13825*c_0101_6^6 - 2827/1975*c_0101_6^5 + 51704/13825*c_0101_6^4 - 38809/13825*c_0101_6^3 - 13526/2765*c_0101_6^2 - 277/2765*c_0101_6 - 17921/13825, c_0101_4 - 4163/13825*c_0101_6^9 - 3284/13825*c_0101_6^8 - 56172/13825*c_0101_6^7 - 42843/13825*c_0101_6^6 - 1472/1975*c_0101_6^5 - 9931/13825*c_0101_6^4 + 35251/13825*c_0101_6^3 + 4632/2765*c_0101_6^2 + 5169/2765*c_0101_6 - 3186/13825, c_0101_5 - 8348/13825*c_0101_6^9 - 7929/13825*c_0101_6^8 - 111887/13825*c_0101_6^7 - 105288/13825*c_0101_6^6 - 1542/1975*c_0101_6^5 - 39666/13825*c_0101_6^4 + 58011/13825*c_0101_6^3 + 13234/2765*c_0101_6^2 + 3368/2765*c_0101_6 - 3491/13825, c_0101_6^10 + c_0101_6^9 + 13*c_0101_6^8 + 13*c_0101_6^7 - 4*c_0101_6^6 + c_0101_6^5 - 6*c_0101_6^4 - 11*c_0101_6^3 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB