Magma V2.19-8 Tue Aug 20 2013 23:29:34 on localhost [Seed = 2160518894] Type ? for help. Type -D to quit. Loading file "K12n502__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n502 geometric_solution 6.66361094 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 2 0132 0132 0132 1023 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 -1 15 -14 0 0 -1 1 0 0 0 0 14 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429381754939 0.512347651675 0 4 3 3 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 15 -15 0 0 0 0 -14 14 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023491256245 1.567439840768 5 0 4 0 0132 0132 0321 1023 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 0 -1 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761495956844 0.377278993256 6 1 1 0 0132 1230 0132 0132 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 -15 -1 0 0 1 0 -14 0 14 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405314873203 1.481729480213 7 1 2 5 0132 0132 0321 1302 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 -15 14 0 1 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.561320098679 1.665885896494 2 7 4 6 0132 0132 2031 1023 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 -1 1 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397171720416 0.190890306985 3 7 7 5 0132 2310 1023 1023 0 0 0 0 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 1 0 0 -1 -15 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704665987637 1.215968889290 4 5 6 6 0132 0132 1023 3201 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 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720898028383 1.257574525746 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : d['c_1001_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_0'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 14156979928906/623169415*c_1001_3^5 + 4660658389056078/62940110915*c_1001_3^4 - 4187140226355377/62940110915*c_1001_3^3 + 1510976954844573/62940110915*c_1001_3^2 - 12733192798074/1144365653*c_1001_3 + 5073890871168/62940110915, c_0011_0 - 1, c_0011_3 - 88180373/11330353*c_1001_3^5 + 286112889/11330353*c_1001_3^4 - 255574615/11330353*c_1001_3^3 + 85628133/11330353*c_1001_3^2 - 30613287/11330353*c_1001_3 + 567697/11330353, c_0101_0 - 47507168/11330353*c_1001_3^5 + 128703275/11330353*c_1001_3^4 - 65206133/11330353*c_1001_3^3 - 3333243/11330353*c_1001_3^2 - 5015465/11330353*c_1001_3 - 3580386/11330353, c_0101_1 + 6790129/11330353*c_1001_3^5 - 16753150/11330353*c_1001_3^4 - 2493483/11330353*c_1001_3^3 + 21556184/11330353*c_1001_3^2 - 11651536/11330353*c_1001_3 - 1767445/11330353, c_0101_2 + 110701959/11330353*c_1001_3^5 - 322938832/11330353*c_1001_3^4 + 193867046/11330353*c_1001_3^3 - 5964513/11330353*c_1001_3^2 + 37290759/11330353*c_1001_3 + 9809422/11330353, c_0101_5 + 10583992/11330353*c_1001_3^5 - 40020569/11330353*c_1001_3^4 + 69026911/11330353*c_1001_3^3 - 67444746/11330353*c_1001_3^2 + 20644107/11330353*c_1001_3 - 1314010/11330353, c_0101_7 + 80568912/11330353*c_1001_3^5 - 251009276/11330353*c_1001_3^4 + 195194341/11330353*c_1001_3^3 - 55186318/11330353*c_1001_3^2 + 41267865/11330353*c_1001_3 + 3147581/11330353, c_1001_3^6 - 320/101*c_1001_3^5 + 268/101*c_1001_3^4 - 87/101*c_1001_3^3 + 46/101*c_1001_3^2 + 2/101*c_1001_3 + 1/101 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB