Magma V2.19-8 Tue Aug 20 2013 23:42:14 on localhost [Seed = 3035812327] Type ? for help. Type -D to quit. Loading file "L13n1057__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1057 geometric_solution 9.63908087 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3201 0132 0132 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 1 0 -1 -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 0.287163610171 0.492257804898 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 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 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 -1.148669922812 0.659746616268 4 5 6 0 0132 0132 0132 0132 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 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 0.725553245302 0.686237265389 5 7 0 8 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725553245302 0.686237265389 2 9 7 7 0132 0132 1230 1302 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 -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 0.454340542943 0.798191078521 10 2 3 9 0132 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.365354913290 0.739868401870 8 9 9 2 1302 2310 3120 0132 0 0 0 1 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 0 0 0 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961384642554 0.946246113726 10 3 4 4 1023 0132 2031 3012 0 1 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 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 0.454340542943 0.798191078521 10 6 3 10 3201 2031 0132 1302 0 0 1 0 0 -1 0 1 -1 0 0 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 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 0.961384642554 0.946246113726 5 4 6 6 3201 0132 3120 3201 1 0 0 0 0 0 1 -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 0 0 0 0 1 -11 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471662794503 0.520017696673 5 7 8 8 0132 1023 2031 2310 1 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 0 -1 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 0 0 0 0 0 0 0.471662794503 0.520017696673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_1001_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_1001_4'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0101_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_0011_6']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_9']), 'c_1010_5' : negation(d['c_0110_9']), 'c_1010_4' : d['c_1001_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_6'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : 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_10']), 'c_0011_2' : d['c_0011_10'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_5']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_7'], 'c_0110_6' : d['c_0101_2']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_7, c_0110_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 487051065599/3347943033228*c_0110_9^5 + 6158562689267/1673971516614*c_0110_9^4 - 129852110792977/3347943033228*c_0110_9^3 - 627367052009917/3347943033228*c_0110_9^2 - 28809465970253/98468912742*c_0110_9 - 141193245975149/836985758307, c_0011_0 - 1, c_0011_10 + 1074132/184398713*c_0110_9^5 - 27740290/184398713*c_0110_9^4 + 301119539/184398713*c_0110_9^3 + 1237160968/184398713*c_0110_9^2 + 1409545122/184398713*c_0110_9 + 484817780/184398713, c_0011_6 - 15852525/184398713*c_0110_9^5 + 405294919/184398713*c_0110_9^4 - 4344331776/184398713*c_0110_9^3 - 19068944794/184398713*c_0110_9^2 - 28243503764/184398713*c_0110_9 - 15327880555/184398713, c_0101_0 + 640080/184398713*c_0110_9^5 - 15547909/184398713*c_0110_9^4 + 153531052/184398713*c_0110_9^3 + 1021500473/184398713*c_0110_9^2 + 1787997280/184398713*c_0110_9 + 1085353979/184398713, c_0101_1 + 1202680/184398713*c_0110_9^5 - 29225308/184398713*c_0110_9^4 + 288523668/184398713*c_0110_9^3 + 1919754323/184398713*c_0110_9^2 + 3360299696/184398713*c_0110_9 + 2103825627/184398713, c_0101_10 - 640080/184398713*c_0110_9^5 + 15547909/184398713*c_0110_9^4 - 153531052/184398713*c_0110_9^3 - 1021500473/184398713*c_0110_9^2 - 1787997280/184398713*c_0110_9 - 1269752692/184398713, c_0101_2 - 154960/184398713*c_0110_9^5 + 3741020/184398713*c_0110_9^4 - 37076872/184398713*c_0110_9^3 - 246493246/184398713*c_0110_9^2 - 431389728/184398713*c_0110_9 - 133764662/184398713, c_0101_5 - 309920/184398713*c_0110_9^5 + 7482040/184398713*c_0110_9^4 - 74153744/184398713*c_0110_9^3 - 492986492/184398713*c_0110_9^2 - 1047178169/184398713*c_0110_9 - 1005124176/184398713, c_0101_7 + 3480/94033*c_0110_9^5 - 88674/94033*c_0110_9^4 + 945325/94033*c_0110_9^3 + 4288218/94033*c_0110_9^2 + 6318873/94033*c_0110_9 + 3417180/94033, c_0110_9^6 - 24*c_0110_9^5 + 234*c_0110_9^4 + 1632*c_0110_9^3 + 3669*c_0110_9^2 + 3756*c_0110_9 + 1513, c_1001_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB