Magma V2.19-8 Tue Aug 20 2013 23:42:25 on localhost [Seed = 3734551478] Type ? for help. Type -D to quit. Loading file "L13n29__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n29 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 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 -1 1 7 0 0 -7 -1 1 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880793168109 0.911340444273 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 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 0 0 0 -7 0 7 0 6 -6 0 0 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521210583162 0.371731929001 0 0 8 7 3012 0132 0132 0132 1 1 1 1 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 0 0 0 -1 0 -6 7 7 0 0 -7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141114644150 1.078826443527 5 9 4 0 3201 0132 1023 0132 1 1 1 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 6 0 -6 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.218358402671 2.106110212520 6 1 3 9 0321 0132 1023 1023 1 1 1 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 0 0 -1 0 1 0 0 -6 0 6 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453126626293 0.765331278498 5 5 1 3 1302 2031 0132 2310 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 0.441724823863 0.592105374669 4 8 8 1 0321 0132 1302 0132 1 1 1 1 0 0 0 0 0 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 7 -7 0 -7 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403352641311 1.134680793704 10 10 2 10 0132 1230 0132 2031 1 1 0 1 0 0 0 0 0 0 1 -1 1 -2 0 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 -7 7 -1 1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.119206831891 0.911340444273 6 6 9 2 2031 0132 1302 0132 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 0 0 0 0 -6 6 1 0 0 -1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721862949974 0.782433871404 8 3 10 4 2031 0132 1230 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 6 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200885372694 0.564591438559 7 7 7 9 0132 1302 3012 3012 1 1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 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 1.141114644150 1.078826443527 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_10'], '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_10' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0101_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : negation(d['c_1001_0']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0101_9'], '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']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : negation(d['c_0011_5']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 9323/1558656*c_1001_0^4 - 3991/70848*c_1001_0^3 - 68951/389664*c_1001_0^2 - 83945/259776*c_1001_0 - 220265/1558656, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/16*c_1001_0^4 + 5/8*c_1001_0^3 + 2*c_1001_0^2 + 27/8*c_1001_0 + 31/16, c_0011_5 - 1/16*c_1001_0^4 - 5/8*c_1001_0^3 - 9/4*c_1001_0^2 - 39/8*c_1001_0 - 67/16, c_0011_6 - 1/16*c_1001_0^4 - 5/8*c_1001_0^3 - 2*c_1001_0^2 - 27/8*c_1001_0 - 31/16, c_0101_2 - c_1001_0 - 1, c_0101_3 - 1/16*c_1001_0^4 - 3/4*c_1001_0^3 - 25/8*c_1001_0^2 - 25/4*c_1001_0 - 93/16, c_0101_7 + c_1001_0 + 2, c_0101_9 - 2*c_1001_0 - 2, c_0110_9 + 1/16*c_1001_0^4 + 5/8*c_1001_0^3 + 2*c_1001_0^2 + 27/8*c_1001_0 + 31/16, c_1001_0^5 + 11*c_1001_0^4 + 46*c_1001_0^3 + 114*c_1001_0^2 + 145*c_1001_0 + 99 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 27078853/16575739840*c_1001_0^5 + 103742669/6630295936*c_1001_0^4 - 1073391/17728064*c_1001_0^3 + 964020609/8287869920*c_1001_0^2 - 81003019/753442720*c_1001_0 + 51564619/1950087040, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/8*c_1001_0^5 - 37/16*c_1001_0^4 + 103/8*c_1001_0^3 - 67/2*c_1001_0^2 + 44*c_1001_0 - 403/16, c_0011_5 - 1/8*c_1001_0^5 + 21/16*c_1001_0^4 - 47/8*c_1001_0^3 + 57/4*c_1001_0^2 - 39/2*c_1001_0 + 207/16, c_0011_6 + 1/8*c_1001_0^5 - 21/16*c_1001_0^4 + 43/8*c_1001_0^3 - 11*c_1001_0^2 + 23/2*c_1001_0 - 75/16, c_0101_2 + c_1001_0 - 1, c_0101_3 + 3/8*c_1001_0^5 - 51/16*c_1001_0^4 + 11*c_1001_0^3 - 151/8*c_1001_0^2 + 125/8*c_1001_0 - 47/16, c_0101_7 + c_1001_0 - 2, c_0101_9 - 2*c_1001_0 + 2, c_0110_9 + 1/8*c_1001_0^5 - 5/16*c_1001_0^4 - 17/8*c_1001_0^3 + 23/2*c_1001_0^2 - 21*c_1001_0 + 253/16, c_1001_0^6 - 23/2*c_1001_0^5 + 115/2*c_1001_0^4 - 161*c_1001_0^3 + 270*c_1001_0^2 - 519/2*c_1001_0 + 239/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB