Magma V2.19-8 Tue Aug 20 2013 23:41:05 on localhost [Seed = 3499537489] Type ? for help. Type -D to quit. Loading file "L13n1055__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1055 geometric_solution 9.27286619 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 2103 0 1 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 2 -2 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441403080339 0.743497874667 0 4 5 0 0132 0132 0132 2103 0 1 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441403080339 0.743497874667 6 0 7 5 0132 0132 0132 0321 0 0 0 0 0 -1 1 0 0 0 0 0 -2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659984282142 0.720720952208 8 4 8 0 0132 0321 3120 0132 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090663837764 0.997309888408 6 1 7 3 3201 0132 1023 0321 0 0 0 0 0 0 0 0 -1 0 -1 2 0 0 0 0 0 0 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 0.659984282142 0.720720952208 9 2 9 1 0132 0321 3120 0132 0 1 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 10 0 -11 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 0.090663837764 0.997309888408 2 8 9 4 0132 3120 0213 2310 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 2 -2 0 0 0 0 0 0 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 1.441204680207 0.688542453832 7 7 4 2 1302 2031 1023 0132 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 0 0 0 0.453818799139 0.422295245850 3 6 3 9 0132 3120 3120 2103 0 1 0 0 0 2 -2 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 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 0.090663837764 0.997309888408 5 6 5 8 0132 0213 3120 2103 0 1 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 -10 0 11 -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 0.090663837764 0.997309888408 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1001_3']), 'c_1010_7' : d['c_0011_7'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], '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_1'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13004051229407/5720609410645155*c_1001_3^5 + 26670980097011/1525495842838708*c_1001_3^4 + 25021554991403/2346916681290320*c_1001_3^3 + 5544145221637133/45764875285161240*c_1001_3^2 + 4552021614126659/18305950114064496*c_1001_3 + 6423114385391227/91529750570322480, c_0011_0 - 1, c_0011_3 + 20347248/382338601*c_1001_3^5 - 25054700/382338601*c_1001_3^4 + 127245397/382338601*c_1001_3^3 + 112978642/382338601*c_1001_3^2 - 162356380/382338601*c_1001_3 - 406929541/382338601, c_0011_5 - 20347248/382338601*c_1001_3^5 + 25054700/382338601*c_1001_3^4 - 127245397/382338601*c_1001_3^3 - 112978642/382338601*c_1001_3^2 + 162356380/382338601*c_1001_3 + 406929541/382338601, c_0011_7 + 16262416/382338601*c_1001_3^5 - 2553396/382338601*c_1001_3^4 + 60522979/382338601*c_1001_3^3 + 204151578/382338601*c_1001_3^2 + 112414009/382338601*c_1001_3 - 309787052/382338601, c_0101_0 - 1, c_0101_1 + 1, c_0101_2 + 22032336/382338601*c_1001_3^5 - 10519284/382338601*c_1001_3^4 + 145796363/382338601*c_1001_3^3 + 183838383/382338601*c_1001_3^2 + 209290094/382338601*c_1001_3 - 247721308/382338601, c_0101_3 - 11016168/382338601*c_1001_3^5 + 5259642/382338601*c_1001_3^4 - 145796363/764677202*c_1001_3^3 - 183838383/764677202*c_1001_3^2 - 591628695/764677202*c_1001_3 + 123860654/382338601, c_1001_0 + 16262416/382338601*c_1001_3^5 - 2553396/382338601*c_1001_3^4 + 60522979/382338601*c_1001_3^3 + 204151578/382338601*c_1001_3^2 + 112414009/382338601*c_1001_3 + 72551549/382338601, c_1001_3^6 - 5/4*c_1001_3^5 + 91/16*c_1001_3^4 + 11/2*c_1001_3^3 + 45/16*c_1001_3^2 - 389/16*c_1001_3 + 195/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB