Magma V2.19-8 Wed Aug 21 2013 01:02:46 on localhost [Seed = 863316181] Type ? for help. Type -D to quit. Loading file "L14n15768__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15768 geometric_solution 12.16575198 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 1 0 -1 0 -1 0 0 1 1 0 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660735529787 0.831040662511 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 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 -1 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 0.432628352270 0.326587741626 8 0 10 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -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 -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 0 0 0 0 0.527607804201 1.111497292054 6 8 11 0 0132 0132 0132 0132 1 1 0 1 0 1 0 -1 0 0 -1 1 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 -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 0.643632476855 0.321582624095 10 11 0 12 0132 3201 0132 0132 1 1 1 1 0 0 1 -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 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 0.660735529787 0.831040662511 9 1 8 12 1023 0132 1023 2031 1 1 1 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 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 0.943902801100 0.767279774676 3 9 1 10 0132 1023 0132 0132 1 1 1 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 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 0.660735529787 0.831040662511 8 11 9 1 3120 3120 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 -1 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 -0.013418841605 1.081066485553 2 3 5 7 0132 0132 1023 3120 1 1 1 0 0 -1 0 1 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 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 1.125764660733 0.884302082901 6 5 2 7 1023 1023 0132 0132 1 1 1 0 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 -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 0.660735529787 0.831040662511 4 12 6 2 0132 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527607804201 1.111497292054 12 7 4 3 0132 3120 2310 0132 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 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 0.593864738258 0.697972063315 11 5 4 10 0132 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440202512632 0.931191893618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_5']), 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_11']), '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'], 's_2_9' : negation(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' : 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' : negation(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_1100_8' : negation(d['c_0101_7']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], '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_8'], '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_7'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 637553/401635*c_1100_1^7 - 465664/80327*c_1100_1^6 - 723977/80327*c_1100_1^5 - 6800562/401635*c_1100_1^4 - 631694/30895*c_1100_1^3 - 21221027/401635*c_1100_1^2 - 28276291/401635*c_1100_1 - 12402539/401635, c_0011_0 - 1, c_0011_10 - 796/6179*c_1100_1^7 - 455/6179*c_1100_1^6 - 4507/6179*c_1100_1^5 - 1261/6179*c_1100_1^4 - 11632/6179*c_1100_1^3 - 9997/6179*c_1100_1^2 - 12053/6179*c_1100_1 - 17306/6179, c_0011_11 + 341/6179*c_1100_1^7 - 527/6179*c_1100_1^6 + 1923/6179*c_1100_1^5 - 1284/6179*c_1100_1^4 + 4331/6179*c_1100_1^3 - 1516/6179*c_1100_1^2 + 2594/6179*c_1100_1 + 4169/6179, c_0011_7 - 802/6179*c_1100_1^7 + 116/6179*c_1100_1^6 - 4867/6179*c_1100_1^5 + 2440/6179*c_1100_1^4 - 14390/6179*c_1100_1^3 - 276/6179*c_1100_1^2 - 15016/6179*c_1100_1 - 5420/6179, c_0101_0 + 566/6179*c_1100_1^7 - 313/6179*c_1100_1^6 + 3065/6179*c_1100_1^5 - 1044/6179*c_1100_1^4 + 8892/6179*c_1100_1^3 + 1597/6179*c_1100_1^2 + 5574/6179*c_1100_1 + 9511/6179, c_0101_1 - 1, c_0101_10 - 1005/6179*c_1100_1^7 - 132/6179*c_1100_1^6 - 4689/6179*c_1100_1^5 - 1072/6179*c_1100_1^4 - 10898/6179*c_1100_1^3 - 12257/6179*c_1100_1^2 - 11251/6179*c_1100_1 - 17270/6179, c_0101_11 - 1, c_0101_5 + 230/6179*c_1100_1^7 + 768/6179*c_1100_1^6 + 1442/6179*c_1100_1^5 + 2305/6179*c_1100_1^4 + 2740/6179*c_1100_1^3 + 8400/6179*c_1100_1^2 + 6479/6179*c_1100_1 + 7795/6179, c_0101_7 + 664/6179*c_1100_1^7 + 659/6179*c_1100_1^6 + 2766/6179*c_1100_1^5 + 2356/6179*c_1100_1^4 + 6567/6179*c_1100_1^3 + 7594/6179*c_1100_1^2 + 8657/6179*c_1100_1 + 6922/6179, c_0101_8 + 230/6179*c_1100_1^7 + 768/6179*c_1100_1^6 + 1442/6179*c_1100_1^5 + 2305/6179*c_1100_1^4 + 2740/6179*c_1100_1^3 + 8400/6179*c_1100_1^2 + 12658/6179*c_1100_1 + 7795/6179, c_0110_5 - 1011/6179*c_1100_1^7 + 439/6179*c_1100_1^6 - 5049/6179*c_1100_1^5 + 2629/6179*c_1100_1^4 - 13656/6179*c_1100_1^3 - 2536/6179*c_1100_1^2 - 14214/6179*c_1100_1 - 11563/6179, c_1100_1^8 + c_1100_1^7 + 5*c_1100_1^6 + 4*c_1100_1^5 + 13*c_1100_1^4 + 18*c_1100_1^3 + 21*c_1100_1^2 + 25*c_1100_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB