Magma V2.19-8 Wed Aug 21 2013 00:52:50 on localhost [Seed = 2050781169] Type ? for help. Type -D to quit. Loading file "L12n1102__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1102 geometric_solution 12.04485481 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 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 -1 0 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627751295929 0.854496449509 0 0 5 4 0132 1302 0132 0132 1 1 1 0 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 0 7 -7 0 0 0 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441619582069 0.760068657273 5 0 5 6 0132 0132 3012 0132 1 1 1 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 1 0 -1 0 0 -7 7 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266705007585 0.634357073396 7 8 9 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672260777683 0.398326478901 7 10 1 8 2103 0132 0132 1230 1 1 1 1 0 0 1 -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 7 -7 0 0 0 0 -6 0 0 6 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584175561794 0.589995091678 2 2 9 1 0132 1230 1302 0132 1 1 0 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 7 0 -7 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 0.779992817262 0.674754315721 11 12 2 7 0132 0132 0132 2103 1 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 1 -1 1 0 -7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674225481260 1.446350879885 3 11 4 6 0132 0213 2103 2103 1 1 1 1 0 -1 1 0 1 0 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 -6 6 0 6 0 0 -6 0 -1 0 1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700222768586 1.009149549571 4 3 10 12 3012 0132 1302 2310 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 0 0 7 0 -7 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667578282203 1.295923609635 5 12 10 3 2031 2310 2031 0132 1 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 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726312268389 0.842761681478 8 4 11 9 2031 0132 0213 1302 1 1 1 1 0 0 1 -1 0 0 0 0 -1 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 6 -6 0 0 0 0 -6 6 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041824386365 0.848650249934 6 10 7 12 0132 0213 0213 3012 1 1 1 1 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 -6 6 0 -1 0 1 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085707301026 0.864864594537 8 6 11 9 3201 0132 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303501238700 0.290707955718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_10'], 'c_1001_3' : negation(d['c_0110_12']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_1001_4'], 's_3_11' : 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' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(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_1100_9' : negation(d['c_1001_4']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_12']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_1001_12']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0110_10'], 'c_1010_2' : d['c_0110_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0110_12']), 'c_1100_8' : d['c_0011_11'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0110_10, c_0110_12, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 69857/220*c_1001_4 + 21587/110, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 2*c_1001_4 - 4, c_0011_3 + 2*c_1001_4 + 3, c_0011_9 - 7*c_1001_4 - 11, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - c_1001_4 - 1, c_0101_3 + 6*c_1001_4 + 10, c_0110_10 - c_1001_4 - 1, c_0110_12 - 9*c_1001_4 - 14, c_1001_12 - 2*c_1001_4 - 3, c_1001_4^2 + c_1001_4 - 1 ], 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_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0110_10, c_0110_12, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 568/13*c_1001_4^3 + 4481/13*c_1001_4^2 + 11751/13*c_1001_4 + 10172/13, c_0011_0 - 1, c_0011_10 - c_1001_4^3 - 5*c_1001_4^2 - 7*c_1001_4 - 3, c_0011_11 + 1/2*c_1001_4^3 + 3/2*c_1001_4^2 - 1/2, c_0011_3 - 1/2*c_1001_4^3 - 5/2*c_1001_4^2 - 3*c_1001_4 - 1/2, c_0011_9 - 1/4*c_1001_4^3 - 3/4*c_1001_4^2 + 3/4, c_0101_0 - 1, c_0101_1 - c_1001_4^3 - 6*c_1001_4^2 - 11*c_1001_4 - 5, c_0101_12 - c_1001_4^2 - 3*c_1001_4 - 1, c_0101_3 + 1/4*c_1001_4^3 + 3/4*c_1001_4^2 - c_1001_4 - 7/4, c_0110_10 - c_1001_4^3 - 4*c_1001_4^2 - 3*c_1001_4 - 1, c_0110_12 - 5/4*c_1001_4^3 - 19/4*c_1001_4^2 - 4*c_1001_4 - 5/4, c_1001_12 + 1/2*c_1001_4^3 + 3/2*c_1001_4^2 - 1/2, c_1001_4^4 + 7*c_1001_4^3 + 16*c_1001_4^2 + 13*c_1001_4 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.040 Total time: 2.250 seconds, Total memory usage: 32.09MB