Magma V2.19-8 Wed Aug 21 2013 01:03:11 on localhost [Seed = 4071942892] Type ? for help. Type -D to quit. Loading file "L14n17__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17 geometric_solution 12.26346635 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 1 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 11 -10 -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 0.234945317419 0.959011144704 0 0 5 4 0132 1302 0132 0132 1 1 1 1 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 11 -11 0 0 -10 10 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759006141072 0.983700373585 6 0 8 7 0132 0132 0132 0132 1 1 1 1 0 1 0 -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 -11 0 11 0 0 -11 11 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880997584038 1.061265313095 6 9 10 0 2031 0132 0132 0132 1 1 1 1 0 1 0 -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 -10 0 10 0 0 0 0 0 -1 0 1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254330536128 0.581600159668 8 10 1 11 2310 1230 0132 0132 1 1 1 1 0 1 -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 -11 11 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515632769927 0.563639806110 7 9 12 1 1230 1230 0132 0132 1 1 1 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 11 0 -11 -10 0 0 10 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163084248925 0.935034222600 2 8 3 10 0132 3120 1302 0321 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829500216661 0.580134074358 9 5 2 10 0213 3012 0132 1230 1 1 1 1 0 0 1 -1 -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 0 -11 11 11 0 -11 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007387351598 1.004044364308 9 6 4 2 3120 3120 3201 0132 1 1 1 1 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 0 0 0 -11 0 0 11 -1 0 0 1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285611300116 0.811282450716 7 3 5 8 0213 0132 3012 3120 1 1 1 1 0 -1 0 1 0 0 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 10 0 -10 0 0 -11 11 -11 10 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140260490271 1.227331894466 7 6 4 3 3012 0321 3012 0132 1 1 1 1 0 0 0 0 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 0 0 -11 0 11 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879634060643 1.408981957206 12 12 4 12 1230 2031 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 1 -2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181026617049 1.037905765015 11 11 11 5 1302 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181026617049 1.037905765015 ==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' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0011_7'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_8']), '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'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_1100_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' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_11']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_10']), 's_2_9' : negation(d['1'])})} 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_4, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 62192983/1271731556352*c_1100_1^4 - 5002193/19870805568*c_1100_1^3 + 194635099/79483222272*c_1100_1^2 - 8437725/348610624*c_1100_1 + 76594629/1655900464, c_0011_0 - 1, c_0011_10 - 1/256*c_1100_1^4 - 1/2*c_1100_1, c_0011_11 - 1, c_0011_3 - 1/256*c_1100_1^4 + 1/32*c_1100_1^3 - 1/2*c_1100_1 + 2, c_0011_4 + 1/256*c_1100_1^4 - 1/64*c_1100_1^3 + 1/2*c_1100_1, c_0011_5 - 1/256*c_1100_1^4 + 1/64*c_1100_1^3 - 1/16*c_1100_1^2 - 1/2*c_1100_1 + 2, c_0011_7 + 1/2*c_1100_1, c_0011_8 + 1/256*c_1100_1^4 + 1/64*c_1100_1^3 + 1/16*c_1100_1^2 + 1/2*c_1100_1, c_0101_0 - 1/128*c_1100_1^4 + 1/8*c_1100_1^2 - 1/2*c_1100_1 + 1, c_0101_10 + 1/256*c_1100_1^4 - 1/64*c_1100_1^3 + 1/16*c_1100_1^2 - 2, c_0101_11 + 1/256*c_1100_1^4 - 1/64*c_1100_1^3 + 1/16*c_1100_1^2 + c_1100_1 - 2, c_1001_4 + 1/128*c_1100_1^4 - 1/8*c_1100_1^2 + 1/2*c_1100_1 + 1, c_1100_1^5 - 4*c_1100_1^4 + 16*c_1100_1^3 + 128*c_1100_1^2 - 512*c_1100_1 + 1024 ], 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_4, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 6499519/188647243776*c_1100_1^6 + 17777809/94323621888*c_1100_1^5 - 2845/92112912*c_1100_1^4 - 102975/34475008*c_1100_1^3 + 4005469/491268864*c_1100_1^2 - 822803/122817216*c_1100_1 - 546461/46056456, c_0011_0 - 1, c_0011_10 - 1/1024*c_1100_1^6 + 1/256*c_1100_1^4 - 1/2*c_1100_1, c_0011_11 - 1, c_0011_3 - 1/1024*c_1100_1^6 + 1/256*c_1100_1^5 + 3/256*c_1100_1^4 - 1/32*c_1100_1^3 - 1/2*c_1100_1 + 2, c_0011_4 + 1/1024*c_1100_1^6 - 3/256*c_1100_1^4 + 1/64*c_1100_1^3 + 1/2*c_1100_1, c_0011_5 - 1/1024*c_1100_1^6 + 1/256*c_1100_1^5 + 1/256*c_1100_1^4 - 3/64*c_1100_1^3 + 1/16*c_1100_1^2 - 1/2*c_1100_1 + 2, c_0011_7 - 1/2*c_1100_1, c_0011_8 + 1/1024*c_1100_1^6 - 3/256*c_1100_1^4 - 1/64*c_1100_1^3 + 1/16*c_1100_1^2 + 1/2*c_1100_1, c_0101_0 - 1/1024*c_1100_1^6 + 1/512*c_1100_1^5 + 1/64*c_1100_1^4 - 1/32*c_1100_1^3 - 1/8*c_1100_1^2 - 1/2*c_1100_1 + 1, c_0101_10 - 1/1024*c_1100_1^6 + 1/256*c_1100_1^5 + 1/256*c_1100_1^4 - 3/64*c_1100_1^3 + 1/16*c_1100_1^2 - c_1100_1 + 2, c_0101_11 - 1/1024*c_1100_1^6 + 1/256*c_1100_1^5 + 1/256*c_1100_1^4 - 3/64*c_1100_1^3 + 1/16*c_1100_1^2 + 2, c_1001_4 + 1/1024*c_1100_1^6 - 1/512*c_1100_1^5 - 1/64*c_1100_1^4 + 1/32*c_1100_1^3 + 1/8*c_1100_1^2 + 1/2*c_1100_1 - 3, c_1100_1^7 - 4*c_1100_1^6 - 4*c_1100_1^5 + 48*c_1100_1^4 - 64*c_1100_1^3 + 512*c_1100_1^2 - 2048*c_1100_1 + 4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.600 seconds, Total memory usage: 32.09MB