Magma V2.19-8 Wed Aug 21 2013 00:14:22 on localhost [Seed = 3954018119] Type ? for help. Type -D to quit. Loading file "K13n3886__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3886 geometric_solution 11.89463019 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 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 0.076643641540 0.775825842368 0 5 7 6 0132 0132 0132 0132 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 -1 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 0 0 0 0.196929433797 1.676654024246 8 0 3 9 0132 0132 3120 0132 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 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 1.265997858374 1.026499114538 7 10 2 0 1302 0132 3120 0132 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 0 0 0 0 0 0 0 1 0 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 0.577012669774 0.956682324767 11 12 0 8 0132 0132 0132 2103 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 -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 0.583797347077 0.720563592055 8 1 9 11 1023 0132 0132 2031 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 1 -1 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 0.087702506028 0.556334140625 8 12 1 10 2103 2031 0132 3120 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 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 0.432025389981 0.559901195006 11 3 9 1 3120 2031 3201 0132 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 1 0 -1 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 0.197916684237 0.745254787453 2 5 6 4 0132 1023 2103 2103 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 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 0.252160605531 0.788390492944 7 10 2 5 2310 0213 0132 0132 0 0 0 0 0 0 0 0 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 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 0.335794583836 0.623899423255 6 3 9 12 3120 0132 0213 2103 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 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 0.971727723323 0.651648078091 4 5 12 7 0132 1302 3120 3120 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616786166564 0.288117367622 6 4 11 10 1302 0132 3120 2103 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 1 -1 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 0.785710526056 0.660957311373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0110_5']), 'c_1001_5' : negation(d['c_0110_12']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_9'], '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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_12']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : d['c_0110_5'], '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' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : 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_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_12, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1067456/517215*c_1001_2^3 + 3744256/1551645*c_1001_2^2 - 8751904/1551645*c_1001_2 - 7765472/310329, c_0011_0 - 1, c_0011_10 + 1/58*c_1001_2^3 - 19/174*c_1001_2^2 + 131/348*c_1001_2 - 119/174, c_0011_6 + 5/174*c_1001_2^3 - 11/87*c_1001_2^2 - 11/116*c_1001_2 + 193/348, c_0011_7 - 1/58*c_1001_2^3 - 5/87*c_1001_2^2 - 73/348*c_1001_2 + 209/348, c_0011_9 + 7/87*c_1001_2^3 - 25/87*c_1001_2^2 - 23/174*c_1001_2 + 46/29, c_0101_0 + 2/87*c_1001_2^3 - 1/29*c_1001_2^2 + 5/87*c_1001_2 + 83/174, c_0101_1 - 3/58*c_1001_2^3 + 14/87*c_1001_2^2 + 13/348*c_1001_2 - 359/348, c_0101_11 + 7/87*c_1001_2^3 - 25/87*c_1001_2^2 - 23/174*c_1001_2 + 46/29, c_0101_2 - 13/174*c_1001_2^3 + 5/174*c_1001_2^2 + 17/116*c_1001_2 - 103/174, c_0110_12 - 5/87*c_1001_2^3 + 5/58*c_1001_2^2 + 31/87*c_1001_2 - 67/348, c_0110_5 + 1/29*c_1001_2^3 + 10/87*c_1001_2^2 - 101/174*c_1001_2 + 139/174, c_1001_0 - 7/174*c_1001_2^3 - 2/87*c_1001_2^2 + 85/116*c_1001_2 + 43/348, c_1001_2^4 - 2*c_1001_2^3 - 4*c_1001_2^2 + 5*c_1001_2 + 205/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_12, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3684/29*c_1001_2^3 - 107009/580*c_1001_2^2 + 67118/435*c_1001_2 - 7817/348, c_0011_0 - 1, c_0011_10 - 9/8*c_1001_2^3 - 15/8*c_1001_2^2 - 17/8*c_1001_2 + 17/8, c_0011_6 + 3/2*c_1001_2^3 + 11/4*c_1001_2^2 + 23/6*c_1001_2 - 23/12, c_0011_7 - 9/8*c_1001_2^3 - 15/8*c_1001_2^2 - 25/8*c_1001_2 + 9/8, c_0011_9 + 33/8*c_1001_2^3 + 59/8*c_1001_2^2 + 235/24*c_1001_2 - 119/24, c_0101_0 - 21/8*c_1001_2^3 - 37/8*c_1001_2^2 - 143/24*c_1001_2 + 73/24, c_0101_1 - 21/8*c_1001_2^3 - 37/8*c_1001_2^2 - 143/24*c_1001_2 + 73/24, c_0101_11 + 33/8*c_1001_2^3 + 59/8*c_1001_2^2 + 235/24*c_1001_2 - 119/24, c_0101_2 + 9/4*c_1001_2^3 + 15/4*c_1001_2^2 + 21/4*c_1001_2 - 13/4, c_0110_12 - 3/4*c_1001_2^3 - 7/4*c_1001_2^2 - 29/12*c_1001_2 + 7/12, c_0110_5 - 9/8*c_1001_2^3 - 21/8*c_1001_2^2 - 25/8*c_1001_2 + 3/8, c_1001_0 + 3/2*c_1001_2^3 + 11/4*c_1001_2^2 + 23/6*c_1001_2 - 23/12, c_1001_2^4 + 4/3*c_1001_2^3 + 14/9*c_1001_2^2 - 20/9*c_1001_2 + 5/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.340 Total time: 4.549 seconds, Total memory usage: 118.84MB