Magma V2.19-8 Wed Aug 21 2013 01:02:36 on localhost [Seed = 2084202371] Type ? for help. Type -D to quit. Loading file "L14n15455__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15455 geometric_solution 12.39014398 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 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 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 0.509334684750 0.955824044209 0 5 7 6 0132 0132 0132 0132 0 1 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 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 0.425056907978 0.828017795789 7 0 6 8 0132 0132 0132 0132 0 1 1 1 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 -1 0 1 0 0 0 0 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425056907978 0.828017795789 5 9 7 0 0213 0132 0213 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 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 1 -1 -9 9 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364182316033 0.730070263323 6 9 0 5 0132 0321 0132 0213 0 1 1 1 0 0 -1 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 0 1 -1 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656157961277 0.922060035394 3 1 10 4 0213 0132 0132 0213 0 1 1 1 0 1 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 0 0 0 0 -1 1 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452876856320 1.096808713636 4 11 1 2 0132 0132 0132 0132 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 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 0.509334684750 0.955824044209 2 3 10 1 0132 0213 0321 0132 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 0 0 0 0 0 -1 1 1 -1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487671973482 0.719944321555 12 11 2 10 0132 0321 0132 0321 0 1 1 1 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 -1 1 0 0 0 0 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.217377140224 0.839536111668 12 3 11 4 1302 0132 0321 0321 0 1 1 1 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 0 0 -1 -8 0 9 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116495360637 0.820622154410 12 8 7 5 3201 0321 0321 0132 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 0 0 0 0 0 0 0 -1 0 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 0.607636815400 0.564388923766 12 6 9 8 2103 0132 0321 0321 0 1 1 1 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 1 0 -9 8 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.289037017384 1.116294995197 8 9 11 10 0132 2031 2103 2310 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.837484104469 0.427430268913 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(d['1']), 's_2_1' : negation(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_2_7' : d['1'], 's_2_12' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_5'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : negation(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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], '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_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 14054838/7625*c_1001_5^5 + 36161393/7625*c_1001_5^4 + 76156009/7625*c_1001_5^3 - 226711691/7625*c_1001_5^2 - 83338107/7625*c_1001_5 - 23048337/7625, c_0011_0 - 1, c_0011_10 - 94/1525*c_1001_5^5 - 52/1525*c_1001_5^4 - 97/1525*c_1001_5^3 + 2439/1525*c_1001_5^2 - 2664/1525*c_1001_5 + 188/1525, c_0011_11 - 359/1525*c_1001_5^5 - 684/1525*c_1001_5^4 - 1412/1525*c_1001_5^3 + 6908/1525*c_1001_5^2 - 2374/1525*c_1001_5 - 319/1525, c_0011_3 - 194/1525*c_1001_5^5 - 97/305*c_1001_5^4 - 927/1525*c_1001_5^3 + 135/61*c_1001_5^2 + 881/1525*c_1001_5 - 264/305, c_0101_0 + 359/1525*c_1001_5^5 + 684/1525*c_1001_5^4 + 1412/1525*c_1001_5^3 - 6908/1525*c_1001_5^2 + 2374/1525*c_1001_5 - 1206/1525, c_0101_1 - 71/1525*c_1001_5^5 - 147/1525*c_1001_5^4 - 388/1525*c_1001_5^3 + 1094/1525*c_1001_5^2 - 591/1525*c_1001_5 + 813/1525, c_0101_10 + 359/1525*c_1001_5^5 + 684/1525*c_1001_5^4 + 1412/1525*c_1001_5^3 - 6908/1525*c_1001_5^2 + 2374/1525*c_1001_5 + 319/1525, c_1001_0 - 1, c_1001_1 - 4/25*c_1001_5^5 - 1/5*c_1001_5^4 - 7/25*c_1001_5^3 + 18/5*c_1001_5^2 - 54/25*c_1001_5 - 3/5, c_1001_10 - 3/25*c_1001_5^5 - 6/25*c_1001_5^4 - 9/25*c_1001_5^3 + 62/25*c_1001_5^2 - 13/25*c_1001_5 - 26/25, c_1001_11 + 1/25*c_1001_5^5 - 1/25*c_1001_5^4 - 2/25*c_1001_5^3 - 28/25*c_1001_5^2 + 41/25*c_1001_5 - 11/25, c_1001_3 - 7/25*c_1001_5^5 - 12/25*c_1001_5^4 - 26/25*c_1001_5^3 + 144/25*c_1001_5^2 - 77/25*c_1001_5 - 17/25, c_1001_5^6 + 2*c_1001_5^5 + 4*c_1001_5^4 - 19*c_1001_5^3 + 4*c_1001_5^2 + 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB