Magma V2.19-8 Tue Aug 20 2013 23:52:15 on localhost [Seed = 2884485279] Type ? for help. Type -D to quit. Loading file "L13n205__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n205 geometric_solution 11.12854463 oriented_manifold CS_known 0.0000000000000002 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 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606219980655 0.437144651360 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 0 0 0 0 0 0 0 0 -3 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646332725722 0.606513207298 7 0 3 8 0132 0132 0321 0132 1 1 1 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405672907592 0.992541383727 4 9 2 0 0321 0132 0321 0132 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 0.532969489855 0.498280495371 3 10 0 10 0321 0132 0132 0213 1 1 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 0 0 0 0 1 -1 0 0 0 0 0 -3 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533793828216 0.648246539133 8 1 11 9 1302 0132 0132 1302 0 1 1 1 0 1 1 -2 1 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 0 0 -1 1 4 0 -4 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498874737859 0.607402609718 10 7 1 9 0213 0213 0132 1230 0 1 1 1 0 0 -1 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 0 0 0 -1 0 0 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358733443189 0.615201312131 2 11 6 1 0132 0132 0213 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 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.177279508029 0.772034007311 10 5 2 11 2103 2031 0132 3120 1 1 1 1 0 0 0 0 -1 0 0 1 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 1 -1 0 -3 0 0 3 1 3 0 -4 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.997749475718 1.214805219436 6 3 5 11 3012 0132 2031 3012 1 0 1 1 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 0 0 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 -0.002250524282 1.214805219436 6 4 8 4 0213 0132 2103 0213 1 1 1 1 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 -1 1 0 0 3 -3 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533793828216 0.648246539133 8 7 9 5 3120 0132 1230 0132 0 1 1 1 0 0 1 -1 -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 -1 1 -3 0 -1 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.192516208993 0.983148122648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : d['1'], 's_2_1' : 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' : 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_1']), 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_9'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0011_10'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_6, c_0011_8, c_0101_1, c_0101_11, c_0101_9, c_0110_5, c_1001_1, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 9216/13*c_1001_2*c_1001_5 - 34816/13*c_1001_2 + 4608/13*c_1001_5 + 17408/13, c_0011_0 - 1, c_0011_10 + 2*c_1001_2*c_1001_5 + 1/2*c_1001_5 + 1, c_0011_3 - 2*c_1001_2*c_1001_5 - c_1001_2 - 1/2*c_1001_5 - 1, c_0011_6 - 1/2*c_1001_5, c_0011_8 - 1/2*c_1001_5, c_0101_1 + c_1001_2 - 1/2*c_1001_5, c_0101_11 + c_1001_2 - 1/2*c_1001_5, c_0101_9 - c_1001_2*c_1001_5 - 1/2*c_1001_5 - 1/2, c_0110_5 - c_1001_2 + 1/2*c_1001_5 - 1, c_1001_1 - 1, c_1001_2^2 - 1/2*c_1001_2*c_1001_5 - 1/4, c_1001_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB