Magma V2.19-8 Tue Aug 20 2013 23:48:16 on localhost [Seed = 3280316787] Type ? for help. Type -D to quit. Loading file "L11n38__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n38 geometric_solution 11.28460298 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.973546915173 0.837346916478 0 0 5 4 0132 1302 0132 0132 1 1 1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409593511245 0.507808144756 5 0 5 6 0132 0132 3012 0132 1 1 1 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 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 0.584954948377 0.477187150141 7 8 6 0 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 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584954948377 0.477187150141 7 9 1 10 2103 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 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 0.029927632002 0.794298060309 2 2 9 1 0132 1230 0132 0132 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 1 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 1.037690530725 1.193057440751 8 10 2 3 0321 2031 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 0 0 0 -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 0.664827129806 1.193885662548 3 11 4 11 0132 0132 2103 1230 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 0 0 0 0 0 0 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420413639078 0.755297380546 6 3 9 11 0321 0132 3201 0213 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 -1 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 0.629435790562 0.675369033559 8 4 10 5 2310 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 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 -0.037966852717 1.122775826834 6 11 4 9 1302 3201 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186152109642 1.069500349975 7 7 10 8 3012 0132 2310 0213 1 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 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639441624925 0.833298740071 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_9']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : negation(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' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : d['c_1100_1'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_1001_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_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0101_9']), 'c_1010_2' : negation(d['c_0101_9']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_9'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_11'], 'c_1100_8' : d['c_0011_4']})} 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_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 8896689/44608*c_1100_1^3 + 1974507/44608*c_1100_1^2 + 196041007/44608*c_1100_1 - 27709843/44608, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_1^3 + 23/4*c_1100_1 - 1, c_0011_11 - 1/4*c_1100_1^3 - 23/4*c_1100_1 + 1, c_0011_4 - 1/8*c_1100_1^3 - 1/8*c_1100_1^2 - 15/8*c_1100_1 + 9/8, c_0011_6 + 1/8*c_1100_1^3 - 1/8*c_1100_1^2 + 27/8*c_1100_1 - 3/8, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1/8*c_1100_1^3 + 1/8*c_1100_1^2 + 23/8*c_1100_1 - 1/8, c_0101_5 + 2*c_1100_1 - 1, c_0101_9 - c_1100_1, c_1001_4 - c_1100_1 + 1, c_1100_1^4 + 22*c_1100_1^2 - 8*c_1100_1 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_9, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 582418*c_1100_1^6 - 5601861/4*c_1100_1^5 - 51788773/32*c_1100_1^4 - 67223291/64*c_1100_1^3 - 27445495/64*c_1100_1^2 - 7047789/64*c_1100_1 - 1269823/64, c_0011_0 - 1, c_0011_10 - 96*c_1100_1^6 - 252*c_1100_1^5 - 575/2*c_1100_1^4 - 731/4*c_1100_1^3 - 137/2*c_1100_1^2 - 65/4*c_1100_1 - 2, c_0011_11 - 32*c_1100_1^6 - 20*c_1100_1^5 + 59/2*c_1100_1^4 + 203/4*c_1100_1^3 + 29*c_1100_1^2 + 33/4*c_1100_1 + 3/2, c_0011_4 - 16*c_1100_1^6 - 26*c_1100_1^5 - 109/4*c_1100_1^4 - 95/8*c_1100_1^3 + 11/8*c_1100_1^2 + 31/8*c_1100_1 + 7/8, c_0011_6 - 112*c_1100_1^6 - 214*c_1100_1^5 - 843/4*c_1100_1^4 - 941/8*c_1100_1^3 - 349/8*c_1100_1^2 - 71/8*c_1100_1 - 9/8, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - 16*c_1100_1^6 - 26*c_1100_1^5 - 109/4*c_1100_1^4 - 95/8*c_1100_1^3 - 21/8*c_1100_1^2 + 7/8*c_1100_1 - 1/8, c_0101_5 - 2*c_1100_1 - 1, c_0101_9 - c_1100_1, c_1001_4 + c_1100_1 + 1, c_1100_1^7 + 21/8*c_1100_1^6 + 213/64*c_1100_1^5 + 313/128*c_1100_1^4 + 37/32*c_1100_1^3 + 23/64*c_1100_1^2 + 5/64*c_1100_1 + 1/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB