Magma V2.19-8 Tue Aug 20 2013 23:42:40 on localhost [Seed = 274101586] Type ? for help. Type -D to quit. Loading file "L13n4728__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4728 geometric_solution 10.82511793 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 -1 0 1 -1 0 2 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526614853247 0.709877299294 0 5 7 6 0132 0132 0132 0132 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 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650237104381 0.975080360516 5 0 8 6 3201 0132 0132 3201 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 1 0 -1 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 0.434579847488 0.803512327131 5 5 6 0 0132 3201 3201 0132 1 0 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 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 0 0 0 0 0 0.434579847488 0.803512327131 9 7 0 8 0132 3201 0132 0132 1 0 1 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 1 -1 0 -1 0 1 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570674258189 1.306980069986 3 1 3 2 0132 0132 2310 2310 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 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 0.479228079124 0.962876351645 3 2 1 10 2310 2310 0132 0132 1 0 0 1 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 1 0 -1 0 0 1 -1 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479228079124 0.962876351645 9 10 4 1 3120 0132 2310 0132 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 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 0.719414034780 0.642608737292 10 9 4 2 0132 0213 0132 0132 1 0 0 1 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 -1 1 0 0 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526614853247 0.709877299294 4 10 8 7 0132 2310 0213 3120 1 0 0 1 0 0 0 0 1 0 -1 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 1 0 -1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121780504817 0.476725803688 8 7 6 9 0132 0132 0132 3201 1 0 1 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 1 -1 0 0 1 -1 1 -1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650237104381 0.975080360516 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_2']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_1001_7']), 'c_1001_8' : negation(d['c_1001_7']), 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0110_2']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_1001_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0101_7']), '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'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_10'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_2, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1254770541/169148*c_1001_7^3 - 73242171/24164*c_1001_7^2 - 5287271767/507444*c_1001_7 + 804941447/72492, c_0011_0 - 1, c_0011_10 - 9801/6041*c_1001_7^3 - 702/863*c_1001_7^2 - 13066/6041*c_1001_7 + 1457/863, c_0011_4 - 4374/6041*c_1001_7^3 - 891/863*c_1001_7^2 - 5232/6041*c_1001_7 + 422/863, c_0011_6 - 4374/6041*c_1001_7^3 - 891/863*c_1001_7^2 - 5232/6041*c_1001_7 + 422/863, c_0101_0 + 1458/6041*c_1001_7^3 + 297/863*c_1001_7^2 + 7785/6041*c_1001_7 + 147/863, c_0101_1 - 1, c_0101_10 + 243/863*c_1001_7^3 - 1458/6041*c_1001_7^2 + 3/863*c_1001_7 - 5272/6041, c_0101_7 + 5427/6041*c_1001_7^3 - 189/863*c_1001_7^2 + 7834/6041*c_1001_7 - 1035/863, c_0110_2 - 5427/6041*c_1001_7^3 + 189/863*c_1001_7^2 - 7834/6041*c_1001_7 + 1035/863, c_1001_0 - 486/863*c_1001_7^3 - 693/863*c_1001_7^2 - 6/863*c_1001_7 - 343/863, c_1001_7^4 + 100/81*c_1001_7^2 - 56/27*c_1001_7 + 49/81 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0110_2, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 20153719/3381872*c_1001_7^5 - 96496271/1690936*c_1001_7^4 - 704537233/3381872*c_1001_7^3 + 1805110085/3381872*c_1001_7^2 - 814632591/3381872*c_1001_7 - 150525545/3381872, c_0011_0 - 1, c_0011_10 - 4465/211367*c_1001_7^5 - 37465/211367*c_1001_7^4 - 99172/211367*c_1001_7^3 + 662513/211367*c_1001_7^2 - 320252/211367*c_1001_7 - 158255/211367, c_0011_4 - 12288/211367*c_1001_7^5 - 129616/211367*c_1001_7^4 - 554688/211367*c_1001_7^3 + 564691/211367*c_1001_7^2 + 21770/211367*c_1001_7 - 5931/211367, c_0011_6 + 2304/211367*c_1001_7^5 + 24303/211367*c_1001_7^4 + 104004/211367*c_1001_7^3 - 119090/211367*c_1001_7^2 + 22339/211367*c_1001_7 - 91361/211367, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 13505/422734*c_1001_7^5 + 68612/211367*c_1001_7^4 + 560085/422734*c_1001_7^3 - 815661/422734*c_1001_7^2 + 277265/422734*c_1001_7 - 242777/422734, c_0101_7 + 12288/211367*c_1001_7^5 + 129616/211367*c_1001_7^4 + 554688/211367*c_1001_7^3 - 564691/211367*c_1001_7^2 - 21770/211367*c_1001_7 + 5931/211367, c_0110_2 + 2304/211367*c_1001_7^5 + 24303/211367*c_1001_7^4 + 104004/211367*c_1001_7^3 - 119090/211367*c_1001_7^2 + 22339/211367*c_1001_7 - 91361/211367, c_1001_0 - 768/16259*c_1001_7^5 - 8101/16259*c_1001_7^4 - 34668/16259*c_1001_7^3 + 34277/16259*c_1001_7^2 + 3393/16259*c_1001_7 - 7484/16259, c_1001_7^6 + 10*c_1001_7^5 + 39*c_1001_7^4 - 75*c_1001_7^3 + c_1001_7^2 + 23*c_1001_7 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB