Magma V2.19-8 Wed Aug 21 2013 01:03:50 on localhost [Seed = 2901062798] Type ? for help. Type -D to quit. Loading file "L14n227__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n227 geometric_solution 12.54143648 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 0 0 1 1 0 1 0 -1 -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 -1 1 0 0 0 0 0 1 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388200207631 0.813614708839 0 4 0 5 0132 0132 3012 0132 1 0 1 1 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522314073636 1.001164575018 6 7 8 0 0132 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 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 -1 1 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270481485247 1.045844695115 7 7 0 5 2031 0321 0132 2103 0 0 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 -1 1 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 0.388200207631 0.813614708839 9 1 10 6 0132 0132 0132 3201 1 1 1 1 0 0 1 -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 0 -2 2 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488730506766 0.631690797806 8 11 1 3 2103 0132 0132 2103 1 0 0 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 -1 1 0 0 0 0 0 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448661576792 0.643205512266 2 4 9 11 0132 2310 3012 2310 1 0 1 1 0 1 0 -1 -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 -3 0 3 0 0 0 0 -1 0 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022538986467 1.263381595613 10 2 3 3 2310 0132 1302 0321 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 -1 0 0 1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388200207631 0.813614708839 9 12 5 2 3012 0132 2103 0132 0 0 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 -1 0 1 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 0.182830610582 1.038498152226 4 6 12 8 0132 1230 0132 1230 0 1 1 1 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 -2 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616916776346 0.495140253833 12 11 7 4 0321 0321 3201 0132 1 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 -2 2 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 0.233833552692 0.990280507666 6 5 12 10 3201 0132 3120 0321 1 1 1 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014116501826 0.791274648790 10 8 11 9 0321 0132 3120 0132 0 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 1 -1 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014116501826 0.791274648790 ==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_0011_3'], 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_3'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_1001_11']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : negation(d['c_0110_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_3']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_11']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : negation(d['c_1001_11']), '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_11']), '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' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(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_11, c_0011_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0110_3, c_0110_5, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 621/250*c_1001_4^3 + 951/125*c_1001_4^2 + 9361/1000*c_1001_4 + 63/50, c_0011_0 - 1, c_0011_10 - 2/5*c_1001_4^3 - 8/5*c_1001_4^2 - 16/5*c_1001_4 - 16/5, c_0011_11 - c_1001_4^3 - 3*c_1001_4^2 - 3*c_1001_4 - 3, c_0011_12 - 4/5*c_1001_4^3 - 16/5*c_1001_4^2 - 27/5*c_1001_4 - 22/5, c_0011_2 - 4/5*c_1001_4^3 - 16/5*c_1001_4^2 - 27/5*c_1001_4 - 12/5, c_0011_3 - 2/5*c_1001_4^3 - 8/5*c_1001_4^2 - 16/5*c_1001_4 - 11/5, c_0101_0 - 1, c_0101_1 - c_1001_4^3 - 3*c_1001_4^2 - 4*c_1001_4 - 3, c_0101_11 - c_1001_4^3 - 3*c_1001_4^2 - 3*c_1001_4 - 3, c_0110_3 + c_1001_4^3 + 4*c_1001_4^2 + 5*c_1001_4 + 4, c_0110_5 + 3*c_1001_4^3 + 10*c_1001_4^2 + 12*c_1001_4 + 10, c_1001_11 - 2*c_1001_4^2 - 2*c_1001_4 - 3, c_1001_4^4 + 4*c_1001_4^3 + 8*c_1001_4^2 + 8*c_1001_4 + 5 ], 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_12, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0110_3, c_0110_5, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 41/160*c_1001_4^4 - 3/4*c_1001_4^3 - 121/80*c_1001_4^2 - 97/80*c_1001_4 - 89/160, c_0011_0 - 1, c_0011_10 - c_1001_4^4 - 2*c_1001_4^3 - 2*c_1001_4^2 + 2*c_1001_4 + 3, c_0011_11 + c_1001_4^3 + c_1001_4^2 + c_1001_4 - 3, c_0011_12 + c_1001_4 + 2, c_0011_2 + c_1001_4, c_0011_3 - 1, c_0101_0 - 1, c_0101_1 + c_1001_4^3 + c_1001_4^2 - 3, c_0101_11 - c_1001_4^3 - c_1001_4^2 - c_1001_4 + 3, c_0110_3 + c_1001_4^4 + c_1001_4^3 - 3*c_1001_4 - 1, c_0110_5 + 2*c_1001_4^4 + c_1001_4^3 - 6*c_1001_4 + 2, c_1001_11 + 1, c_1001_4^5 + 2*c_1001_4^4 + 2*c_1001_4^3 - 2*c_1001_4^2 - 3*c_1001_4 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB