Magma V2.19-8 Wed Aug 21 2013 00:01:35 on localhost [Seed = 256468614] Type ? for help. Type -D to quit. Loading file "L14n55581__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55581 geometric_solution 10.67146647 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 2310 0132 0132 0 1 1 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 1 -1 -1 0 4 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210116031366 1.525639895812 0 4 4 0 0132 0132 3201 3201 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 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 -0.088592040433 0.643261489653 3 5 6 0 1302 0132 0132 0132 0 1 0 1 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 1 0 -1 0 0 4 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648811027949 0.737081052209 7 2 0 4 0132 2031 0132 0213 0 1 1 1 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 -1 1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017412870189 0.950214667493 1 1 6 3 2310 0132 3120 0213 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 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 -0.470756999680 1.123304232912 7 2 8 9 3120 0132 0132 0132 0 1 1 0 0 0 0 0 1 0 0 -1 -1 0 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 3 0 0 -3 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726369608120 1.481761910033 7 10 4 2 1230 0132 3120 0132 0 1 1 0 0 0 0 0 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 3 0 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714640072578 0.652681586170 3 6 11 5 0132 3012 0132 3120 0 1 1 1 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 0 0 0 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.799270477409 0.850659436494 11 10 11 5 2103 0321 0213 0132 0 1 0 2 0 0 0 0 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 1 -1 0 0 0 0 -1 0 0 1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411854614203 0.660571734306 11 10 5 10 0132 0213 0132 2310 0 1 2 1 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 3 -3 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411854614203 0.660571734306 9 6 9 8 3201 0132 0213 0321 0 2 0 1 0 0 0 0 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 -1 1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411854614203 0.660571734306 9 8 8 7 0132 0213 2103 0132 0 1 1 2 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 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320348639983 1.090089711580 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : 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' : negation(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_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : negation(d['c_0101_4']), 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_2'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_1001_0'], 'c_1100_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' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), '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_0011_11'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_2, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 173042483/28046279680*c_1001_10^7 - 1751239029/14023139840*c_1001_10^6 - 15566332203/28046279680*c_1001_10^5 + 15152205719/28046279680*c_1001_10^4 + 202649452229/28046279680*c_1001_10^3 - 21877090889/7011569920*c_1001_10^2 - 1012480106119/28046279680*c_1001_10 - 726936311759/28046279680, c_0011_0 - 1, c_0011_10 - 113713/10955578*c_1001_10^7 + 162251/10955578*c_1001_10^6 + 748904/5477789*c_1001_10^5 + 61229/10955578*c_1001_10^4 - 10390432/5477789*c_1001_10^3 + 12544915/5477789*c_1001_10^2 + 33360731/10955578*c_1001_10 - 5771761/5477789, c_0011_11 + 424537/21911156*c_1001_10^7 - 857689/21911156*c_1001_10^6 - 3133891/10955578*c_1001_10^5 + 1521787/21911156*c_1001_10^4 + 43532669/10955578*c_1001_10^3 - 57805313/10955578*c_1001_10^2 - 129310539/21911156*c_1001_10 + 12783931/5477789, c_0011_2 + 297224/5477789*c_1001_10^7 + 383656/5477789*c_1001_10^6 - 2879284/5477789*c_1001_10^5 - 8132757/5477789*c_1001_10^4 + 31525264/5477789*c_1001_10^3 + 15108425/5477789*c_1001_10^2 - 13028624/5477789*c_1001_10 + 2599015/5477789, c_0011_3 - 1046347/10955578*c_1001_10^7 - 1384533/10955578*c_1001_10^6 + 5011092/5477789*c_1001_10^5 + 29365769/10955578*c_1001_10^4 - 53679466/5477789*c_1001_10^3 - 27143206/5477789*c_1001_10^2 + 35471083/10955578*c_1001_10 - 10351570/5477789, c_0011_8 - 1, c_0101_0 + 1, c_0101_1 - 1, c_0101_4 + 241903/10955578*c_1001_10^7 + 275683/10955578*c_1001_10^6 - 1221264/5477789*c_1001_10^5 - 6772987/10955578*c_1001_10^4 + 13114686/5477789*c_1001_10^3 + 6183980/5477789*c_1001_10^2 - 10427769/10955578*c_1001_10 - 2417466/5477789, c_0101_5 - c_1001_10, c_1001_0 + 241903/10955578*c_1001_10^7 + 275683/10955578*c_1001_10^6 - 1221264/5477789*c_1001_10^5 - 6772987/10955578*c_1001_10^4 + 13114686/5477789*c_1001_10^3 + 6183980/5477789*c_1001_10^2 - 10427769/10955578*c_1001_10 + 3060323/5477789, c_1001_10^8 + 2*c_1001_10^7 - 9*c_1001_10^6 - 35*c_1001_10^5 + 87*c_1001_10^4 + 132*c_1001_10^3 - 29*c_1001_10^2 - 37*c_1001_10 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB