Magma V2.19-8 Wed Aug 21 2013 00:08:54 on localhost [Seed = 1393900552] Type ? for help. Type -D to quit. Loading file "K13n2372__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2372 geometric_solution 11.35104046 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 -1 0 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 -1 1 2 0 -2 0 0 1 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343985642011 0.917864717236 0 0 5 4 0132 1302 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 0 0 0 -2 0 2 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 0.641980629144 0.955311235303 6 0 8 7 0132 0132 0132 0132 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 0 0 0 -2 0 0 2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850983084563 1.018434613470 9 10 4 0 0132 0132 3012 0132 0 0 0 0 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 -1 0 1 -2 0 0 2 0 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488212187666 1.372713217474 11 3 1 12 0132 1230 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620360933071 0.326719529404 7 11 12 1 0213 3201 3201 0132 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 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 2 0 0 -2 -2 1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086140864877 0.802385378346 2 8 10 9 0132 3120 3201 3201 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 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 0.889309945873 1.069849576577 5 9 2 11 0213 0321 0132 2031 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 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 2 0 -2 0 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070589667587 0.878396158600 10 6 11 2 3201 3120 2031 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 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 -0.222094064993 0.746278347098 3 6 10 7 0132 2310 0321 0321 0 0 0 0 0 0 0 0 -1 0 1 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 2 0 -2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014411536859 0.649058556305 6 3 9 8 2310 0132 0321 2310 0 0 0 0 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 1 0 -1 0 0 0 0 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.277636610555 0.707399448469 4 7 5 8 0132 1302 2310 1302 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 1.426152342769 0.804764971257 5 12 4 12 2310 1302 0132 2031 0 0 0 0 0 -1 0 1 -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 1 0 -1 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 0.708856483112 1.145775604058 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : 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' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0101_0']), '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' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1010_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_1010_11']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_0011_8'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_0']), '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_0011_12']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_11']), '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_0011_5'], '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' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_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_11, c_0011_12, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_1001_0, c_1001_4, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 16920066325/10583088098*c_1010_11^7 + 311699891799/84664704784*c_1010_11^6 + 379580488231/21166176196*c_1010_11^5 + 24754746793/962098918*c_1010_11^4 + 2433415317439/42332352392*c_1010_11^3 + 276649046111/4980276752*c_1010_11^2 + 483532562801/42332352392*c_1010_11 - 1511576028179/84664704784, c_0011_0 - 1, c_0011_10 + c_1010_11, c_0011_11 - 7774/151321*c_1010_11^7 - 12973/151321*c_1010_11^6 - 84234/151321*c_1010_11^5 - 85373/151321*c_1010_11^4 - 295078/151321*c_1010_11^3 - 197526/151321*c_1010_11^2 - 265885/151321*c_1010_11 - 103575/151321, c_0011_12 - 9088/151321*c_1010_11^7 - 13920/151321*c_1010_11^6 - 84924/151321*c_1010_11^5 - 70411/151321*c_1010_11^4 - 234548/151321*c_1010_11^3 - 124556/151321*c_1010_11^2 + 92956/151321*c_1010_11 - 188820/151321, c_0011_5 + 7774/151321*c_1010_11^7 + 12973/151321*c_1010_11^6 + 84234/151321*c_1010_11^5 + 85373/151321*c_1010_11^4 + 295078/151321*c_1010_11^3 + 197526/151321*c_1010_11^2 + 114564/151321*c_1010_11 + 103575/151321, c_0011_7 - 7774/151321*c_1010_11^7 - 12973/151321*c_1010_11^6 - 84234/151321*c_1010_11^5 - 85373/151321*c_1010_11^4 - 295078/151321*c_1010_11^3 - 197526/151321*c_1010_11^2 - 114564/151321*c_1010_11 - 103575/151321, c_0011_8 - 2575/151321*c_1010_11^7 - 1280/151321*c_1010_11^6 - 23463/151321*c_1010_11^5 + 7440/151321*c_1010_11^4 - 66790/151321*c_1010_11^3 + 125953/151321*c_1010_11^2 + 10287/151321*c_1010_11 + 19163/151321, c_0101_0 + 2575/151321*c_1010_11^7 + 1280/151321*c_1010_11^6 + 23463/151321*c_1010_11^5 - 7440/151321*c_1010_11^4 + 66790/151321*c_1010_11^3 + 25368/151321*c_1010_11^2 - 10287/151321*c_1010_11 - 19163/151321, c_0101_1 + 5150/151321*c_1010_11^7 + 2560/151321*c_1010_11^6 + 46926/151321*c_1010_11^5 - 14880/151321*c_1010_11^4 + 133580/151321*c_1010_11^3 - 100585/151321*c_1010_11^2 - 20574/151321*c_1010_11 - 38326/151321, c_0101_11 + 11712/151321*c_1010_11^7 + 24333/151321*c_1010_11^6 + 122232/151321*c_1010_11^5 + 170664/151321*c_1010_11^4 + 396046/151321*c_1010_11^3 + 422667/151321*c_1010_11^2 + 42182/151321*c_1010_11 + 179400/151321, c_1001_0 + 1, c_1001_4 - 2575/151321*c_1010_11^7 - 1280/151321*c_1010_11^6 - 23463/151321*c_1010_11^5 + 7440/151321*c_1010_11^4 - 66790/151321*c_1010_11^3 + 125953/151321*c_1010_11^2 + 10287/151321*c_1010_11 + 19163/151321, c_1010_11^8 + 2*c_1010_11^7 + 11*c_1010_11^6 + 14*c_1010_11^5 + 37*c_1010_11^4 + 34*c_1010_11^3 + 18*c_1010_11^2 + 12*c_1010_11 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 6.390 Total time: 6.599 seconds, Total memory usage: 64.12MB