Magma V2.19-8 Wed Aug 21 2013 01:05:48 on localhost [Seed = 846473857] Type ? for help. Type -D to quit. Loading file "L14n2782__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2782 geometric_solution 11.47162836 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 0 5 6 3 0132 0132 0132 0321 1 1 1 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 1 -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 0.500000000000 1.322875655532 7 0 9 8 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213848622243 1.272019649514 10 1 10 0 0132 0321 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 7 6 0 10 3012 0132 0132 2031 1 1 1 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 -1 1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 7 1 8 9 1023 0132 0213 0321 1 1 0 1 0 0 0 0 0 0 0 0 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 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 0.871467067939 0.764542756818 9 4 10 1 0321 0132 1023 0132 1 1 0 1 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 1 0 0 -1 0 0 0 0 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 2 5 11 4 0132 1023 0132 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351577584254 0.568864481006 11 5 2 12 1302 0213 0132 0132 1 1 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 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 -0.000000000000 0.500000000000 6 5 12 2 0321 0321 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 0 -1 1 1 0 -1 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 0.213848622243 1.272019649514 3 4 6 3 0132 1302 1023 1302 1 1 1 1 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 1 -1 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 12 8 12 7 1302 2031 2103 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.272019649514 0.786151377757 11 11 8 9 2103 2031 0132 0132 1 1 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 0 0 0 -1 0 1 0 0 -1 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 -0.393075688879 1.136009824757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_1010_10']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1010_10']), 'c_1100_3' : negation(d['c_1010_10']), 'c_1100_2' : d['c_1100_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_12'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : d['c_0101_3'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_1100_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0101_6']), 'c_0101_12' : negation(d['c_0011_12']), 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_8, c_0011_9, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1010_10, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 11/240*c_1100_12^3 - 5/24*c_1100_12^2 - 5/12*c_1100_12 - 4/15, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_1100_12^3 - 4*c_1100_12^2 - 7*c_1100_12 - 4, c_0011_12 - c_1100_12^2 - 2*c_1100_12 - 2, c_0011_4 + 1, c_0011_8 + c_1100_12, c_0011_9 + c_1100_12^3 + 5*c_1100_12^2 + 10*c_1100_12 + 7, c_0101_3 - c_1100_12^3 - 5*c_1100_12^2 - 10*c_1100_12 - 7, c_0101_6 - 2, c_1001_0 + 2, c_1001_1 + c_1100_12^3 + 5*c_1100_12^2 + 10*c_1100_12 + 7, c_1010_10 - 3*c_1100_12^3 - 15*c_1100_12^2 - 30*c_1100_12 - 21, c_1100_12^4 + 6*c_1100_12^3 + 16*c_1100_12^2 + 20*c_1100_12 + 10 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_8, c_0011_9, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1010_10, c_1100_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2815667/40236050*c_1100_12^7 + 3161737/40236050*c_1100_12^6 + 279959/4023605*c_1100_12^5 + 20360773/80472100*c_1100_12^4 + 103505911/321888400*c_1100_12^3 - 46747609/160944200*c_1100_12^2 + 28089/554980*c_1100_12 + 242597/8047210, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 82712/4023605*c_1100_12^7 + 636792/4023605*c_1100_12^6 + 121856/804721*c_1100_12^5 + 562564/4023605*c_1100_12^4 + 2553387/4023605*c_1100_12^3 + 2052084/4023605*c_1100_12^2 - 3571/27749*c_1100_12 + 134396/804721, c_0011_12 - 245536/4023605*c_1100_12^7 - 834936/4023605*c_1100_12^6 - 287640/804721*c_1100_12^5 - 3099032/4023605*c_1100_12^4 - 3540336/4023605*c_1100_12^3 - 3669177/4023605*c_1100_12^2 - 32358/27749*c_1100_12 - 270538/804721, c_0011_4 - 1, c_0011_8 + c_1100_12, c_0011_9 + 7880/27749*c_1100_12^7 + 14912/27749*c_1100_12^6 + 19720/27749*c_1100_12^5 + 42860/27749*c_1100_12^4 + 63225/27749*c_1100_12^3 + 24175/27749*c_1100_12^2 + 20250/27749*c_1100_12 + 1557/27749, c_0101_3 + 205672/4023605*c_1100_12^7 + 2470752/4023605*c_1100_12^6 + 935016/804721*c_1100_12^5 + 7603764/4023605*c_1100_12^4 + 14160637/4023605*c_1100_12^3 + 18462459/4023605*c_1100_12^2 + 73122/27749*c_1100_12 + 1517493/804721, c_0101_6 - 691776/4023605*c_1100_12^7 - 1689536/4023605*c_1100_12^6 - 687904/804721*c_1100_12^5 - 6495272/4023605*c_1100_12^4 - 11140816/4023605*c_1100_12^3 - 10525312/4023605*c_1100_12^2 - 91296/27749*c_1100_12 - 752778/804721, c_1001_0 + 691776/4023605*c_1100_12^7 + 1689536/4023605*c_1100_12^6 + 687904/804721*c_1100_12^5 + 6495272/4023605*c_1100_12^4 + 11140816/4023605*c_1100_12^3 + 10525312/4023605*c_1100_12^2 + 91296/27749*c_1100_12 + 752778/804721, c_1001_1 - 7880/27749*c_1100_12^7 - 14912/27749*c_1100_12^6 - 19720/27749*c_1100_12^5 - 42860/27749*c_1100_12^4 - 63225/27749*c_1100_12^3 - 24175/27749*c_1100_12^2 - 20250/27749*c_1100_12 - 1557/27749, c_1010_10 + 2490872/4023605*c_1100_12^7 + 6795232/4023605*c_1100_12^6 + 2078776/804721*c_1100_12^5 + 20033164/4023605*c_1100_12^4 + 32495887/4023605*c_1100_12^3 + 25473209/4023605*c_1100_12^2 + 113622/27749*c_1100_12 + 1607799/804721, c_1100_12^8 + 3*c_1100_12^7 + 6*c_1100_12^6 + 23/2*c_1100_12^5 + 157/8*c_1100_12^4 + 85/4*c_1100_12^3 + 20*c_1100_12^2 + 25/2*c_1100_12 + 25/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB