Magma V2.19-8 Tue Aug 20 2013 18:00:22 on localhost [Seed = 2816873338] Type ? for help. Type -D to quit. Loading file "11_212__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_212 geometric_solution 12.01220162 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 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 1 -1 0 -1 0 1 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.041432177312 1.021198868769 0 3 5 4 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.303670871261 0.781967568609 0 0 5 6 2031 0132 3012 0132 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 -1 1 0 1 0 -1 0 1 0 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039664574918 0.977631919533 7 8 0 1 0132 0132 0132 0321 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590903967090 2.087494236127 7 9 1 10 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264054470706 0.616492037791 7 2 9 1 3120 1230 2103 0132 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 1 -1 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 0.438863999411 1.117536948577 11 11 2 12 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787950758939 0.723229417775 3 12 4 5 0132 0321 2103 3120 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 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 0.387652150165 0.599187840049 10 3 9 12 3120 0132 0132 0321 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.400630759906 1.279171838220 5 4 11 8 2103 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504689292786 0.685116426753 11 12 4 8 1023 1023 0132 3120 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 -1 0 1 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640543708835 0.968998990228 6 10 9 6 0132 1023 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373309256515 1.273233683314 10 8 6 7 1023 0321 0132 0321 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 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 0.816949646747 0.418974123904 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_1001_4'], 'c_1010_12' : negation(d['c_0011_5']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_3'], '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' : d['c_0101_11'], '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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_12'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : 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' : d['c_0011_4'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0101_6'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 17312/171855*c_1001_4^3 - 111808/171855*c_1001_4^2 - 2672/1809*c_1001_4 - 876512/171855, c_0011_0 - 1, c_0011_10 - 1/45*c_1001_4^3 - 1/5*c_1001_4^2 - 1/2*c_1001_4 - 97/90, c_0011_3 - 1, c_0011_4 - 2/45*c_1001_4^3 - 1/15*c_1001_4^2 - 2/3*c_1001_4 - 29/90, c_0011_5 + 1/45*c_1001_4^3 - 2/15*c_1001_4^2 + 1/6*c_1001_4 + 11/45, c_0101_1 + 4/45*c_1001_4^3 + 2/15*c_1001_4^2 + 4/3*c_1001_4 + 29/45, c_0101_10 - 1/45*c_1001_4^3 + 2/15*c_1001_4^2 - 1/6*c_1001_4 + 34/45, c_0101_11 + 7/45*c_1001_4^3 + 1/15*c_1001_4^2 + 7/6*c_1001_4 + 19/90, c_0101_2 - 1/45*c_1001_4^3 + 2/15*c_1001_4^2 - 1/6*c_1001_4 - 56/45, c_0101_6 + 2/45*c_1001_4^3 + 1/15*c_1001_4^2 + 2/3*c_1001_4 + 29/90, c_0101_8 - 1/45*c_1001_4^3 + 2/15*c_1001_4^2 - 1/6*c_1001_4 - 11/45, c_1001_12 + 2/15*c_1001_4^3 - 2/15*c_1001_4^2 + 2/3*c_1001_4 - 13/15, c_1001_4^4 + 2*c_1001_4^3 + 12*c_1001_4^2 + 11*c_1001_4 + 67/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.340 Total time: 2.549 seconds, Total memory usage: 64.12MB