Magma V2.19-8 Tue Aug 20 2013 23:48:51 on localhost [Seed = 1074146008] Type ? for help. Type -D to quit. Loading file "L12n1093__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1093 geometric_solution 10.99210532 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 2 -2 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318917354720 0.733035091572 0 5 3 6 0132 0132 0321 0132 0 1 0 1 0 0 1 -1 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 -2 2 -1 0 1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986874537912 0.589335963482 7 0 9 8 0132 0132 0132 0132 0 0 0 1 0 0 0 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 0 0 0 1 0 -1 0 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390529400797 0.602120208242 10 9 1 0 0132 3012 0321 0132 0 1 0 1 0 0 -1 1 -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 0 2 -2 1 0 -2 1 -2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934042392532 1.246770680323 10 7 0 11 3201 0132 0132 0132 0 1 0 1 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 -1 2 -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 0.398492295942 0.805232497335 10 1 8 11 2310 0132 1302 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595427854067 0.797093461445 11 8 1 10 0132 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599124614127 0.224761758601 2 4 11 9 0132 0132 3012 0321 0 0 1 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 1 -1 0 -1 0 1 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934042392532 1.246770680323 5 9 2 6 2031 3201 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.557550915725 0.620327405176 3 7 8 2 1230 0321 2310 0132 0 0 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 0 0 0 0 0 0 0 -2 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 0.897914163827 1.064117529208 3 6 5 4 0132 2310 3201 2310 0 1 1 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885824823388 0.633336713147 6 7 4 5 0132 1230 0132 0213 0 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 0 0 0 0 0 0 0 0 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 0.934042392532 1.246770680323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(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_0'], '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' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_8'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0101_9, c_0110_8, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 8083565/68608*c_1001_2^8 + 4844985/68608*c_1001_2^7 + 21976763/68608*c_1001_2^6 - 30951483/68608*c_1001_2^5 + 794317/34304*c_1001_2^4 + 1285087/4288*c_1001_2^3 - 8120417/34304*c_1001_2^2 + 2661561/34304*c_1001_2 - 705853/68608, c_0011_0 - 1, c_0011_10 + 815/67*c_1001_2^8 + 155/67*c_1001_2^7 - 2708/67*c_1001_2^6 + 1330/67*c_1001_2^5 + 2776/67*c_1001_2^4 - 2300/67*c_1001_2^3 - 587/67*c_1001_2^2 + 1231/67*c_1001_2 - 347/67, c_0011_11 - 590/67*c_1001_2^8 - 30/67*c_1001_2^7 + 1983/67*c_1001_2^6 - 1230/67*c_1001_2^5 - 1860/67*c_1001_2^4 + 2051/67*c_1001_2^3 + 226/67*c_1001_2^2 - 1012/67*c_1001_2 + 400/67, c_0011_8 - 155/67*c_1001_2^8 + 100/67*c_1001_2^7 + 626/67*c_1001_2^6 - 657/67*c_1001_2^5 - 634/67*c_1001_2^4 + 913/67*c_1001_2^3 + 73/67*c_1001_2^2 - 401/67*c_1001_2 + 163/67, c_0101_0 + 870/67*c_1001_2^8 + 595/67*c_1001_2^7 - 2379/67*c_1001_2^6 + 409/67*c_1001_2^5 + 2519/67*c_1001_2^4 - 1338/67*c_1001_2^3 - 641/67*c_1001_2^2 + 954/67*c_1001_2 - 206/67, c_0101_1 - 1, c_0101_11 + 160/67*c_1001_2^8 + 275/67*c_1001_2^7 - 322/67*c_1001_2^6 - 316/67*c_1001_2^5 + 568/67*c_1001_2^4 + 149/67*c_1001_2^3 - 285/67*c_1001_2^2 + 53/67*c_1001_2 + 63/67, c_0101_7 - 2435/67*c_1001_2^8 - 1055/67*c_1001_2^7 + 7392/67*c_1001_2^6 - 2653/67*c_1001_2^5 - 7723/67*c_1001_2^4 + 5540/67*c_1001_2^3 + 1739/67*c_1001_2^2 - 3317/67*c_1001_2 + 890/67, c_0101_9 + 280/67*c_1001_2^8 + 565/67*c_1001_2^7 - 396/67*c_1001_2^6 - 821/67*c_1001_2^5 + 659/67*c_1001_2^4 + 713/67*c_1001_2^3 - 415/67*c_1001_2^2 - 125/67*c_1001_2 + 194/67, c_0110_8 - 1735/67*c_1001_2^8 - 815/67*c_1001_2^7 + 5397/67*c_1001_2^6 - 1456/67*c_1001_2^5 - 5841/67*c_1001_2^4 + 3470/67*c_1001_2^3 + 1606/67*c_1001_2^2 - 2189/67*c_1001_2 + 437/67, c_1001_1 - 315/67*c_1001_2^8 + 160/67*c_1001_2^7 + 1283/67*c_1001_2^6 - 1078/67*c_1001_2^5 - 1135/67*c_1001_2^4 + 1702/67*c_1001_2^3 + 23/67*c_1001_2^2 - 789/67*c_1001_2 + 368/67, c_1001_2^9 - 16/5*c_1001_2^7 + 12/5*c_1001_2^6 + 13/5*c_1001_2^5 - 18/5*c_1001_2^4 + 2/5*c_1001_2^3 + 8/5*c_1001_2^2 - c_1001_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB