Magma V2.19-8 Wed Aug 21 2013 00:51:53 on localhost [Seed = 1814722851] Type ? for help. Type -D to quit. Loading file "L11n308__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n308 geometric_solution 12.01108668 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 1 2 0 0 0 0 1 0 -2 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 1 0 1 0 -1 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 0.192940600321 1.294804190075 0 5 7 6 0132 0132 0132 0132 1 0 2 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 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 0.462708564440 0.627036704686 3 0 6 8 1023 0132 2310 0132 2 2 2 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 1 -1 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 0.080485597655 0.819154749666 5 2 9 0 0132 1023 0132 0132 2 0 2 1 0 0 0 0 -2 0 0 2 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 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.018947697376 0.983214860852 10 11 0 8 0132 0132 0132 1230 2 0 2 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 0 0 0 0 -2 3 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117055587522 0.655880683057 3 1 12 10 0132 0132 0132 2103 1 0 1 2 0 1 0 -1 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 0 0 0 0 0 0 0 1 0 0 -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 0.787982442581 0.919601321453 12 2 1 10 0132 3201 0132 0132 1 0 2 2 0 1 -1 0 0 0 -1 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 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238056662979 1.032542891834 11 10 9 1 3120 2103 2103 0132 1 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.747917733643 0.925294622572 4 11 2 9 3012 0213 0132 3012 2 2 0 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 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 0.459689344577 1.084306136199 7 12 8 3 2103 2103 1230 0132 2 0 1 2 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 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 0.600143250738 0.961508792605 4 7 6 5 0132 2103 0132 2103 1 0 1 2 0 0 0 0 -1 0 -1 2 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 -1 1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787982442581 0.919601321453 12 4 8 7 2103 0132 0213 3120 2 0 1 2 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.263709103756 1.477603169235 6 9 11 5 0132 2103 2103 0132 1 0 2 2 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 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238056662979 1.032542891834 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_8'], 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_8'], 'c_1010_12' : negation(d['c_0101_2']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_0_11' : negation(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' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], '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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_8'], 'c_1100_3' : d['c_0110_8'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_8'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_12'])})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 7091/5120*c_1001_1^5 + 9601/1024*c_1001_1^4 + 268241/10240*c_1001_1^3 + 100289/2560*c_1001_1^2 + 133907/4096*c_1001_1 + 253579/20480, c_0011_0 - 1, c_0011_10 - 4*c_1001_1^4 - 16*c_1001_1^3 - 26*c_1001_1^2 - 22*c_1001_1 - 7, c_0011_12 - 4*c_1001_1^5 - 16*c_1001_1^4 - 26*c_1001_1^3 - 22*c_1001_1^2 - 7*c_1001_1, c_0011_7 + 4*c_1001_1^5 + 24*c_1001_1^4 + 62*c_1001_1^3 + 88*c_1001_1^2 + 69*c_1001_1 + 25, c_0011_8 + 4*c_1001_1^5 + 20*c_1001_1^4 + 42*c_1001_1^3 + 48*c_1001_1^2 + 29*c_1001_1 + 7, c_0101_0 - 1, c_0101_1 - 1, c_0101_2 - 1, c_0101_3 - c_1001_1 - 1, c_0101_7 - 4*c_1001_1^3 - 14*c_1001_1^2 - 18*c_1001_1 - 11, c_0101_8 + 4*c_1001_1^5 + 24*c_1001_1^4 + 62*c_1001_1^3 + 90*c_1001_1^2 + 73*c_1001_1 + 28, c_0110_8 + 2*c_1001_1^2 + 4*c_1001_1 + 3, c_1001_1^6 + 7*c_1001_1^5 + 43/2*c_1001_1^4 + 38*c_1001_1^3 + 165/4*c_1001_1^2 + 105/4*c_1001_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB