Magma V2.19-8 Tue Aug 20 2013 23:52:40 on localhost [Seed = 2227367762] Type ? for help. Type -D to quit. Loading file "L13n3190__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3190 geometric_solution 11.43437347 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 -1 -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 0.835261484291 0.504719921390 0 2 6 5 0132 1230 0132 0132 1 1 1 1 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 0 0 0 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 -0.023144449686 0.993130845321 4 0 1 7 1230 0132 3012 0132 1 1 1 1 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 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976046962106 0.769147283168 6 8 9 0 2310 0132 0132 0132 1 1 1 1 0 -1 1 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 -1 2 -1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601228759573 0.847780691621 10 2 0 6 0132 3012 0132 2031 1 1 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 -2 1 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722365441411 0.615885481990 11 11 1 8 0132 1230 0132 2310 1 1 0 1 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 -2 0 0 2 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536026891183 1.367779831624 11 4 3 1 3201 1302 3201 0132 1 1 1 1 0 0 0 0 -1 0 0 1 1 -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 -1 0 0 1 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111677189404 0.758693679707 8 8 2 9 3012 0213 0132 0132 1 1 0 1 0 0 0 0 1 0 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 1 0 0 -1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379815415612 0.771278131494 5 3 7 7 3201 0132 0213 1230 1 0 1 1 0 1 0 -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 1 0 -1 1 0 -2 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 0.379815415612 0.771278131494 10 10 7 3 2310 3120 0132 0132 1 1 1 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 2 0 -2 0 0 1 -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 0.542511473266 0.575920467412 4 9 9 11 0132 3120 3201 3201 0 1 1 1 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 1 0 -1 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 0.845666033830 1.064587085833 5 10 5 6 0132 2310 3012 2310 1 1 1 0 0 0 1 -1 1 0 0 -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 1 -1 2 0 0 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751626271799 0.633775248456 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(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' : negation(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_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : negation(d['c_0011_6']), '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_0011_7'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_10'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 9003689/24434*c_1001_1^7 - 406534/12217*c_1001_1^6 + 1561303/1286*c_1001_1^5 - 13916595/24434*c_1001_1^4 - 49455501/12217*c_1001_1^3 + 64952901/24434*c_1001_1^2 - 896481/24434*c_1001_1 + 23174808/12217, c_0011_0 - 1, c_0011_10 + 121/643*c_1001_1^7 - 20/643*c_1001_1^6 - 410/643*c_1001_1^5 + 414/643*c_1001_1^4 + 1344/643*c_1001_1^3 - 1457/643*c_1001_1^2 - 196/643*c_1001_1 - 489/643, c_0011_11 + 1, c_0011_3 + 33/643*c_1001_1^7 + 53/643*c_1001_1^6 + 122/643*c_1001_1^5 - 4/643*c_1001_1^4 + 425/643*c_1001_1^3 + 421/643*c_1001_1^2 + 5/643*c_1001_1 + 42/643, c_0011_6 - 189/643*c_1001_1^7 - 362/643*c_1001_1^6 + 295/643*c_1001_1^5 + 549/643*c_1001_1^4 - 1908/643*c_1001_1^3 - 2002/643*c_1001_1^2 - 204/643*c_1001_1 - 299/643, c_0011_7 + 305/643*c_1001_1^7 + 295/643*c_1001_1^6 - 704/643*c_1001_1^5 + 2/643*c_1001_1^4 + 3324/643*c_1001_1^3 + 111/643*c_1001_1^2 + 962/643*c_1001_1 - 21/643, c_0101_0 - 179/643*c_1001_1^7 - 268/643*c_1001_1^6 + 293/643*c_1001_1^5 + 275/643*c_1001_1^4 - 2052/643*c_1001_1^3 - 1134/643*c_1001_1^2 - 183/643*c_1001_1 + 6/643, c_0101_1 + 174/643*c_1001_1^7 + 221/643*c_1001_1^6 - 292/643*c_1001_1^5 - 138/643*c_1001_1^4 + 1481/643*c_1001_1^3 + 700/643*c_1001_1^2 + 1137/643*c_1001_1 + 163/643, c_0101_10 + 263/643*c_1001_1^7 + 286/643*c_1001_1^6 - 567/643*c_1001_1^5 + 124/643*c_1001_1^4 + 2900/643*c_1001_1^3 + 452/643*c_1001_1^2 + 488/643*c_1001_1 - 16/643, c_0101_9 - 468/643*c_1001_1^7 - 284/643*c_1001_1^6 + 1251/643*c_1001_1^5 - 294/643*c_1001_1^4 - 5092/643*c_1001_1^3 + 1044/643*c_1001_1^2 - 1240/643*c_1001_1 + 515/643, c_1001_0 - 163/643*c_1001_1^7 + 11/643*c_1001_1^6 + 547/643*c_1001_1^5 - 292/643*c_1001_1^4 - 1768/643*c_1001_1^3 + 1155/643*c_1001_1^2 + 365/643*c_1001_1 + 494/643, c_1001_1^8 + c_1001_1^7 - 2*c_1001_1^6 + 10*c_1001_1^4 + 2*c_1001_1^3 + 6*c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB