Magma V2.19-8 Tue Aug 20 2013 23:53:31 on localhost [Seed = 863328456] Type ? for help. Type -D to quit. Loading file "L13n6356__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6356 geometric_solution 11.20000535 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 -6 7 -1 0 1 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 0.733997806227 0.781288316291 0 5 7 6 0132 0132 0132 0132 0 1 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 1 0 -7 6 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674117029613 0.634206501618 8 0 9 3 0132 0132 0132 1230 1 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 1 0 -1 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 0.699583672188 0.419463515838 2 10 11 0 3012 0132 0132 0132 1 1 0 0 0 0 -1 1 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 -6 6 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 0.336402460230 1.336546200352 6 7 0 9 0132 3120 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 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 0.383484474442 0.886444307275 8 1 8 6 3201 0132 2310 2031 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 0 0 0 0.893420893165 0.543281741000 4 5 1 11 0132 1302 0132 2031 0 1 0 0 0 1 0 -1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213079173257 0.740331845445 11 4 9 1 2031 3120 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588908182646 0.950260116243 2 5 10 5 0132 3201 1302 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 1.046147348874 0.549467621269 10 7 4 2 3120 3201 1230 0132 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872380653340 0.783159782935 8 3 11 9 2031 0132 1302 3120 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051425332131 0.630424328055 10 6 7 3 2031 1302 1302 0132 1 1 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 -6 0 6 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 0.733997806227 0.781288316291 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_2_11' : 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_0011_11' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0110_5']), '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' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_0011_10']), '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 6*c_1001_2^9 + 29/2*c_1001_2^8 + 114*c_1001_2^7 + 95/2*c_1001_2^6 + 223*c_1001_2^5 - 50*c_1001_2^4 + 148*c_1001_2^3 + 131/2*c_1001_2^2 + 11*c_1001_2, c_0011_0 - 1, c_0011_10 - 828907/7178837*c_1001_2^9 - 1582160/7178837*c_1001_2^8 - 14607171/7178837*c_1001_2^7 + 1578225/7178837*c_1001_2^6 - 25126788/7178837*c_1001_2^5 + 21454349/7178837*c_1001_2^4 - 13820729/7178837*c_1001_2^3 - 1726774/7178837*c_1001_2^2 + 15793296/7178837*c_1001_2 + 47346/7178837, c_0011_4 + 868970/7178837*c_1001_2^9 + 1748847/7178837*c_1001_2^8 + 14835156/7178837*c_1001_2^7 - 1631086/7178837*c_1001_2^6 + 14738203/7178837*c_1001_2^5 - 22308618/7178837*c_1001_2^4 + 5795980/7178837*c_1001_2^3 + 21580015/7178837*c_1001_2^2 - 1940776/7178837*c_1001_2 - 5616568/7178837, c_0011_7 - 3228191/7178837*c_1001_2^9 - 6438981/7178837*c_1001_2^8 - 57911578/7178837*c_1001_2^7 + 774923/7178837*c_1001_2^6 - 106502838/7178837*c_1001_2^5 + 80458964/7178837*c_1001_2^4 - 87986299/7178837*c_1001_2^3 - 3225474/7178837*c_1001_2^2 + 5443657/7178837*c_1001_2 + 7045114/7178837, c_0011_9 - 75654/7178837*c_1001_2^9 - 313155/7178837*c_1001_2^8 - 1578225/7178837*c_1001_2^7 - 3056050/7178837*c_1001_2^6 - 1560581/7178837*c_1001_2^5 - 10217574/7178837*c_1001_2^4 + 1726774/7178837*c_1001_2^3 - 14964389/7178837*c_1001_2^2 + 1610468/7178837*c_1001_2 - 828907/7178837, c_0101_0 - 1, c_0101_1 - 284847/7178837*c_1001_2^9 - 1453207/7178837*c_1001_2^8 - 7068663/7178837*c_1001_2^7 - 16651566/7178837*c_1001_2^6 - 13625390/7178837*c_1001_2^5 - 30287318/7178837*c_1001_2^4 + 6843700/7178837*c_1001_2^3 - 34429141/7178837*c_1001_2^2 - 1049175/7178837*c_1001_2 + 777061/7178837, c_0101_2 + 2399284/7178837*c_1001_2^9 + 4856821/7178837*c_1001_2^8 + 43304407/7178837*c_1001_2^7 + 803302/7178837*c_1001_2^6 + 81376050/7178837*c_1001_2^5 - 59004615/7178837*c_1001_2^4 + 74165570/7178837*c_1001_2^3 + 1498700/7178837*c_1001_2^2 + 10349639/7178837*c_1001_2 - 6997768/7178837, c_0101_3 + 883513/7178837*c_1001_2^9 + 1941417/7178837*c_1001_2^8 + 16651566/7178837*c_1001_2^7 + 3940592/7178837*c_1001_2^6 + 37123646/7178837*c_1001_2^5 - 15104263/7178837*c_1001_2^4 + 34429141/7178837*c_1001_2^3 + 1334022/7178837*c_1001_2^2 + 14150307/7178837*c_1001_2 - 284847/7178837, c_0101_7 - 2447419/7178837*c_1001_2^9 - 5535168/7178837*c_1001_2^8 - 45539189/7178837*c_1001_2^7 - 12008072/7178837*c_1001_2^6 - 87391995/7178837*c_1001_2^5 + 35204768/7178837*c_1001_2^4 - 66833178/7178837*c_1001_2^3 - 13178482/7178837*c_1001_2^2 - 2567452/7178837*c_1001_2 + 1407498/7178837, c_0110_5 - 2691414/7178837*c_1001_2^9 - 7066940/7178837*c_1001_2^8 - 52579473/7178837*c_1001_2^7 - 32114900/7178837*c_1001_2^6 - 105421564/7178837*c_1001_2^5 + 3872544/7178837*c_1001_2^4 - 55265304/7178837*c_1001_2^3 - 29895329/7178837*c_1001_2^2 + 774278/7178837*c_1001_2 + 3735921/7178837, c_1001_2^10 + 2*c_1001_2^9 + 18*c_1001_2^8 + 34*c_1001_2^6 - 24*c_1001_2^5 + 29*c_1001_2^4 - c_1001_2^2 - 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB