Magma V2.19-8 Wed Aug 21 2013 00:58:28 on localhost [Seed = 778581166] Type ? for help. Type -D to quit. Loading file "L13n5558__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5558 geometric_solution 12.41722390 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.839861283218 0.605705295885 0 2 6 5 0132 0321 0132 0132 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657314168109 0.593927564078 7 0 8 1 0132 0132 0132 0321 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771473476647 1.065886397517 9 8 10 0 0132 3012 0132 0132 1 1 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 1 0 -1 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 0.194857654086 0.919247817533 7 11 0 12 2031 0132 0132 0132 1 1 0 0 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 3 1 -4 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 0.671904349376 0.609948100983 6 8 1 12 1302 3201 0132 2103 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 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 -0.271106006176 0.903550923484 9 5 10 1 2031 2031 0321 0132 1 1 0 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 -1 1 0 -1 0 1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456723445673 0.961930094642 2 11 4 9 0132 1023 1302 0321 1 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 0 0 0 0 0 0 0 0 -2 0 0 2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362442550534 0.547159856209 3 11 5 2 1230 0321 2310 0132 1 0 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 0 0 0 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 0.561554405451 1.003442217581 3 7 6 12 0132 0321 1302 2031 1 1 0 0 0 0 0 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 0 0 0 0 0 -4 4 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351090794744 0.884493065229 11 12 6 3 2031 2031 0321 0132 1 1 0 1 0 0 0 0 1 0 -1 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 -3 0 3 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 0.459153365087 0.670443823903 7 4 10 8 1023 0132 1302 0321 1 1 0 0 0 1 -1 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 -3 3 0 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070242200551 0.918972210178 10 9 4 5 1302 1302 0132 2103 1 1 1 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 -4 4 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 0.459153365087 0.670443823903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_12']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_12']), 'c_1100_1' : negation(d['c_0110_12']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_5'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_5']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_0011_12'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_12, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 9606547/1691928*c_1001_2^6 + 12173039/1691928*c_1001_2^5 - 3921689/1691928*c_1001_2^4 + 26683469/563976*c_1001_2^3 + 2464508/70497*c_1001_2^2 - 160967465/1691928*c_1001_2 - 77986159/845964, c_0011_0 - 1, c_0011_10 - 108/373*c_1001_2^6 - 7/373*c_1001_2^5 - 206/373*c_1001_2^4 + 889/373*c_1001_2^3 + 1371/373*c_1001_2^2 + 1545/373*c_1001_2 + 755/373, c_0011_12 - 108/373*c_1001_2^6 - 7/373*c_1001_2^5 - 206/373*c_1001_2^4 + 889/373*c_1001_2^3 + 1371/373*c_1001_2^2 + 1545/373*c_1001_2 + 755/373, c_0011_3 - 115/373*c_1001_2^6 - 4/373*c_1001_2^5 - 171/373*c_1001_2^4 + 881/373*c_1001_2^3 + 1636/373*c_1001_2^2 + 1096/373*c_1001_2 + 538/373, c_0011_5 + 115/373*c_1001_2^6 + 4/373*c_1001_2^5 + 171/373*c_1001_2^4 - 881/373*c_1001_2^3 - 1636/373*c_1001_2^2 - 1469/373*c_1001_2 - 538/373, c_0011_6 + 1, c_0101_1 - 118/373*c_1001_2^6 - 56/373*c_1001_2^5 - 156/373*c_1001_2^4 + 771/373*c_1001_2^3 + 2016/373*c_1001_2^2 + 1916/373*c_1001_2 + 1191/373, c_0101_10 + 46/373*c_1001_2^6 - 73/373*c_1001_2^5 + 143/373*c_1001_2^4 - 427/373*c_1001_2^3 + 17/373*c_1001_2^2 - 140/373*c_1001_2 + 307/373, c_0101_3 + 111/373*c_1001_2^6 + 59/373*c_1001_2^5 + 191/373*c_1001_2^4 - 779/373*c_1001_2^3 - 2124/373*c_1001_2^2 - 1992/373*c_1001_2 - 1408/373, c_0101_8 + 1, c_0110_12 - 3/373*c_1001_2^6 - 52/373*c_1001_2^5 + 15/373*c_1001_2^4 - 110/373*c_1001_2^3 + 380/373*c_1001_2^2 + 447/373*c_1001_2 + 653/373, c_0110_5 + 118/373*c_1001_2^6 + 56/373*c_1001_2^5 + 156/373*c_1001_2^4 - 771/373*c_1001_2^3 - 2016/373*c_1001_2^2 - 1543/373*c_1001_2 - 1191/373, c_1001_2^7 + c_1001_2^6 + 2*c_1001_2^5 - 6*c_1001_2^4 - 21*c_1001_2^3 - 28*c_1001_2^2 - 22*c_1001_2 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB