Magma V2.19-8 Tue Aug 20 2013 23:47:16 on localhost [Seed = 4071921840] Type ? for help. Type -D to quit. Loading file "K9a18__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a18 geometric_solution 10.98944959 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109430656346 1.541137497585 0 4 6 5 0132 0132 0132 0132 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 -1 1 0 0 1 -1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124719611431 0.527228556512 4 0 6 3 0132 0132 1302 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.844726446477 0.895521267215 2 0 7 0 3120 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954157102823 0.645616230370 2 1 5 8 0132 0132 2103 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 1 -1 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424760190940 0.872529680479 4 9 1 8 2103 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006893986766 0.948782777042 2 10 7 1 2031 0132 3201 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 -1 0 1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654805597482 1.616902237783 6 11 11 3 2310 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.627219536273 0.804795847546 9 11 4 5 2031 2031 0132 0213 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 -1 0 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488292689776 1.261452263413 10 5 8 10 3012 0132 1302 2310 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 -1 1 0 1 0 -3 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428095856607 1.141316727780 9 6 11 9 3201 0132 2031 1230 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 1 0 -1 1 0 -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 0.428095856607 1.141316727780 8 7 7 10 1302 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.627219536273 0.804795847546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0110_11']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_2_5' : negation(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' : d['1'], 's_0_5' : negation(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_0110_5']), 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : negation(d['c_0110_11']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : 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_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), '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_0011_10'], 'c_0110_7' : d['c_0101_3'], '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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0110_11, c_0110_5, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 5/7*c_0110_11^3 + 26/7*c_0110_11^2 - 45/7*c_0110_11 + 26/7, c_0011_0 - 1, c_0011_10 - c_0110_11^3 + 3*c_0110_11^2 - 2*c_0110_11 + 1, c_0011_11 + c_0110_11^3 - 2*c_0110_11^2 - 1, c_0011_3 - c_0110_11^2 + c_0110_11, c_0011_5 - c_0110_11^2 + c_0110_11, c_0011_8 - 2*c_0110_11^3 + 4*c_0110_11^2 - c_0110_11 + 1, c_0101_0 + c_0110_11, c_0101_10 - c_0110_11^3 + c_0110_11^2 + c_0110_11 + 1, c_0101_3 + c_0110_11^3 - 2*c_0110_11^2 + 1, c_0110_11^4 - 3*c_0110_11^3 + 2*c_0110_11^2 + 1, c_0110_5 + 1, c_1001_11 - 1 ], 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0110_11, c_0110_5, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16881745/191204*c_0110_5^5 - 102357595/764816*c_0110_5^4 + 413519165/764816*c_0110_5^3 - 93759747/382408*c_0110_5^2 + 147336403/191204*c_0110_5 - 44006247/764816, c_0011_0 - 1, c_0011_10 - 5624/3677*c_0110_5^5 + 8678/3677*c_0110_5^4 - 34603/3677*c_0110_5^3 + 18903/3677*c_0110_5^2 - 51192/3677*c_0110_5 + 6351/3677, c_0011_11 + 1356/3677*c_0110_5^5 - 1517/3677*c_0110_5^4 + 6468/3677*c_0110_5^3 - 899/3677*c_0110_5^2 + 7965/3677*c_0110_5 + 30/3677, c_0011_3 + 6052/3677*c_0110_5^5 - 9851/3677*c_0110_5^4 + 37035/3677*c_0110_5^3 - 19523/3677*c_0110_5^2 + 51233/3677*c_0110_5 - 8359/3677, c_0011_5 - 1356/3677*c_0110_5^5 + 1517/3677*c_0110_5^4 - 6468/3677*c_0110_5^3 + 899/3677*c_0110_5^2 - 7965/3677*c_0110_5 - 30/3677, c_0011_8 - 7912/3677*c_0110_5^5 + 12062/3677*c_0110_5^4 - 48738/3677*c_0110_5^3 + 24726/3677*c_0110_5^2 - 69968/3677*c_0110_5 + 10075/3677, c_0101_0 + 932/3677*c_0110_5^5 - 1867/3677*c_0110_5^4 + 7667/3677*c_0110_5^3 - 4924/3677*c_0110_5^2 + 10811/3677*c_0110_5 - 77/3677, c_0101_10 + 4696/3677*c_0110_5^5 - 8334/3677*c_0110_5^4 + 30567/3677*c_0110_5^3 - 18624/3677*c_0110_5^2 + 43268/3677*c_0110_5 - 8389/3677, c_0101_3 - 3764/3677*c_0110_5^5 + 6467/3677*c_0110_5^4 - 22900/3677*c_0110_5^3 + 13700/3677*c_0110_5^2 - 28780/3677*c_0110_5 + 8312/3677, c_0110_11 + 4576/3677*c_0110_5^5 - 6768/3677*c_0110_5^4 + 28270/3677*c_0110_5^3 - 11646/3677*c_0110_5^2 + 41229/3677*c_0110_5 - 3771/3677, c_0110_5^6 - 7/4*c_0110_5^5 + 13/2*c_0110_5^4 - 17/4*c_0110_5^3 + 19/2*c_0110_5^2 - 11/4*c_0110_5 + 1/4, c_1001_11 - 1 ], 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_3, c_0110_11, c_0110_5, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 237/896*c_0110_5^7 - 247/448*c_0110_5^6 + 2221/896*c_0110_5^5 - 191/56*c_0110_5^4 + 743/112*c_0110_5^3 - 5739/896*c_0110_5^2 + 2421/448*c_0110_5 - 3371/896, c_0011_0 - 1, c_0011_10 - 1/4*c_0110_5^7 + 1/4*c_0110_5^6 - c_0110_5^5 + c_0110_5^3 - 9/4*c_0110_5^2 + 13/4*c_0110_5 - 2, c_0011_11 + 1/4*c_0110_5^7 - 3/4*c_0110_5^6 + 2*c_0110_5^5 - 3*c_0110_5^4 + 3*c_0110_5^3 - 7/4*c_0110_5^2 + 5/4*c_0110_5 + 1, c_0011_3 + 1/2*c_0110_5^7 - c_0110_5^6 + 4*c_0110_5^5 - 5*c_0110_5^4 + 9*c_0110_5^3 - 15/2*c_0110_5^2 + 7*c_0110_5 - 3, c_0011_5 + 1/4*c_0110_5^7 - 1/4*c_0110_5^6 + c_0110_5^5 - c_0110_5^3 + 5/4*c_0110_5^2 - 13/4*c_0110_5 + 1, c_0011_8 + 1/2*c_0110_5^6 + 2*c_0110_5^4 + 2*c_0110_5^3 + 7/2*c_0110_5 - 3, c_0101_0 - 1/4*c_0110_5^7 + 3/4*c_0110_5^6 - 2*c_0110_5^5 + 4*c_0110_5^4 - 4*c_0110_5^3 + 23/4*c_0110_5^2 - 9/4*c_0110_5 + 1, c_0101_10 - 1/2*c_0110_5^7 + c_0110_5^6 - 4*c_0110_5^5 + 5*c_0110_5^4 - 9*c_0110_5^3 + 15/2*c_0110_5^2 - 7*c_0110_5 + 3, c_0101_3 - 3/4*c_0110_5^7 + 5/4*c_0110_5^6 - 6*c_0110_5^5 + 6*c_0110_5^4 - 13*c_0110_5^3 + 33/4*c_0110_5^2 - 31/4*c_0110_5 + 4, c_0110_11 + 1, c_0110_5^8 - 2*c_0110_5^7 + 9*c_0110_5^6 - 12*c_0110_5^5 + 24*c_0110_5^4 - 23*c_0110_5^3 + 22*c_0110_5^2 - 15*c_0110_5 + 4, c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.560 Total time: 0.780 seconds, Total memory usage: 32.09MB