Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 2833850232] Type ? for help. Type -D to quit. Loading file "11_333__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_333 geometric_solution 8.88256424 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -9 0 9 0 0 -1 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256097532469 0.738399807859 0 5 7 6 0132 0132 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 -1 1 9 0 -9 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 0.451544450879 0.935568164793 3 0 6 7 0213 0132 2310 2031 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 1 -1 0 -1 0 0 1 -9 9 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580731738924 1.208866014583 2 8 5 0 0213 0132 1302 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 9 0 0 -9 1 8 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.124422208640 1.124282341435 6 5 0 7 0132 1302 0132 1302 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 -1 1 8 0 0 -8 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.328604600146 0.844901226463 3 1 8 4 2031 0132 2103 2031 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 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 0.451544450879 0.935568164793 4 2 1 8 0132 3201 0132 2103 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 1 -1 0 -8 0 0 8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576488221526 0.725467594081 8 2 4 1 2103 1302 2031 0132 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 -1 0 1 -8 0 -1 9 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451544450879 0.935568164793 5 3 7 6 2103 0132 2103 2103 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 8 -8 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466337569448 0.795489415181 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_8' : d['c_0011_7'], 's_2_8' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_8' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_5'], 'c_0110_8' : d['c_0110_8'], '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_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_5, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5369452/3143*c_0110_8^5 - 41241645/40859*c_0110_8^4 + 55751/3143*c_0110_8^3 - 280020/3143*c_0110_8^2 + 21951788/40859*c_0110_8 + 1696178/5837, c_0011_0 - 1, c_0011_3 + 117/449*c_0110_8^5 - 1499/449*c_0110_8^4 + 977/449*c_0110_8^3 - 590/449*c_0110_8^2 + 66/449*c_0110_8 - 177/449, c_0011_4 - 312/449*c_0110_8^5 + 106/449*c_0110_8^4 - 959/449*c_0110_8^3 + 825/449*c_0110_8^2 - 176/449*c_0110_8 + 23/449, c_0011_7 + 182/449*c_0110_8^5 + 911/449*c_0110_8^4 - 825/449*c_0110_8^3 - 369/449*c_0110_8^2 - 47/449*c_0110_8 + 473/449, c_0101_0 + 1989/449*c_0110_8^5 - 2135/449*c_0110_8^4 + 894/449*c_0110_8^3 - 152/449*c_0110_8^2 + 224/449*c_0110_8 + 134/449, c_0101_1 + 1859/449*c_0110_8^5 - 1118/449*c_0110_8^4 - 890/449*c_0110_8^3 + 304/449*c_0110_8^2 + 450/449*c_0110_8 + 181/449, c_0101_5 - 1872/449*c_0110_8^5 + 636/449*c_0110_8^4 + 83/449*c_0110_8^3 - 438/449*c_0110_8^2 - 158/449*c_0110_8 - 311/449, c_0110_5 + 2171/449*c_0110_8^5 - 1224/449*c_0110_8^4 + 69/449*c_0110_8^3 - 521/449*c_0110_8^2 + 626/449*c_0110_8 + 158/449, c_0110_8^6 - 12/13*c_0110_8^5 + 2/13*c_0110_8^4 + 4/13*c_0110_8^2 + 1/13*c_0110_8 - 1/13 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_5, c_0110_5, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 36635/114824*c_0110_8^8 + 73235/28706*c_0110_8^7 - 209189/28706*c_0110_8^6 + 1072979/114824*c_0110_8^5 - 322041/57412*c_0110_8^4 - 18591/114824*c_0110_8^3 - 417453/114824*c_0110_8^2 + 268481/28706*c_0110_8 + 20176/14353, c_0011_0 - 1, c_0011_3 + 917/14353*c_0110_8^8 - 13997/28706*c_0110_8^7 + 19037/14353*c_0110_8^6 - 24379/14353*c_0110_8^5 + 36929/28706*c_0110_8^4 - 4649/14353*c_0110_8^3 + 16115/28706*c_0110_8^2 - 6667/28706*c_0110_8 - 3628/14353, c_0011_4 + 4373/57412*c_0110_8^8 - 17419/28706*c_0110_8^7 + 25619/14353*c_0110_8^6 - 153417/57412*c_0110_8^5 + 34541/14353*c_0110_8^4 - 46431/57412*c_0110_8^3 + 53349/57412*c_0110_8^2 - 16201/28706*c_0110_8 + 7539/14353, c_0011_7 - 1, c_0101_0 - 345/14353*c_0110_8^8 + 6393/28706*c_0110_8^7 - 11357/14353*c_0110_8^6 + 20332/14353*c_0110_8^5 - 37591/28706*c_0110_8^4 - 1037/14353*c_0110_8^3 + 28497/28706*c_0110_8^2 + 2477/28706*c_0110_8 - 482/14353, c_0101_1 - 4373/57412*c_0110_8^8 + 17419/28706*c_0110_8^7 - 25619/14353*c_0110_8^6 + 153417/57412*c_0110_8^5 - 34541/14353*c_0110_8^4 + 46431/57412*c_0110_8^3 - 53349/57412*c_0110_8^2 + 16201/28706*c_0110_8 - 7539/14353, c_0101_5 - 917/14353*c_0110_8^8 + 13997/28706*c_0110_8^7 - 19037/14353*c_0110_8^6 + 24379/14353*c_0110_8^5 - 36929/28706*c_0110_8^4 + 4649/14353*c_0110_8^3 - 16115/28706*c_0110_8^2 + 6667/28706*c_0110_8 + 3628/14353, c_0110_5 - 3359/57412*c_0110_8^8 + 10787/28706*c_0110_8^7 - 10472/14353*c_0110_8^6 + 19023/57412*c_0110_8^5 + 7882/14353*c_0110_8^4 - 69339/57412*c_0110_8^3 - 46427/57412*c_0110_8^2 + 9451/28706*c_0110_8 - 3815/14353, c_0110_8^9 - 8*c_0110_8^8 + 24*c_0110_8^7 - 37*c_0110_8^6 + 34*c_0110_8^5 - 11*c_0110_8^4 + 7*c_0110_8^3 - 8*c_0110_8^2 + 4*c_0110_8 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB