Magma V2.19-8 Tue Aug 20 2013 23:39:20 on localhost [Seed = 2716321278] Type ? for help. Type -D to quit. Loading file "L11n209__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n209 geometric_solution 9.84183526 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 2103 1 0 1 1 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 -1 1 1 0 -1 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 0.455868799656 0.814700086904 0 4 5 0 0132 0132 0132 2103 1 0 1 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 -1 0 1 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 0.455868799656 0.814700086904 6 0 6 7 0132 0132 0321 0132 1 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281739568704 0.907068818718 8 4 8 0 0132 1230 3120 0132 1 0 1 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 -1 0 1 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528705211828 0.584491921598 9 1 3 9 0132 0132 3012 3012 1 1 1 1 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 -1 0 1 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 0.281739568704 0.907068818718 7 9 7 1 3201 1302 0213 0132 1 0 1 1 0 0 0 0 1 0 -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 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 0.370045607972 1.190126611985 2 9 2 8 0132 0132 0321 3201 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792051724622 0.676037031224 8 5 2 5 3012 0213 0132 2310 1 1 0 1 0 0 0 0 1 0 0 -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 0 0 0 -1 0 0 1 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370045607972 1.190126611985 3 6 3 7 0132 2310 3120 1230 1 0 1 1 0 0 1 -1 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 -2 1 0 0 1 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528705211828 0.584491921598 4 6 4 5 0132 0132 1230 2031 1 1 1 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 1 0 -1 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 0.743724109641 0.968790805494 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_9']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : d['1'], 's_2_9' : 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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0011_7']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0101_2']), '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_7'], '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_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_7'], '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_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_9, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 197289017328972/3195102120469*c_1001_3^8 - 432736766805321/912886320134*c_1001_3^7 - 4245773460298127/3195102120469*c_1001_3^6 - 1280969838357137/912886320134*c_1001_3^5 + 1350084369812621/3195102120469*c_1001_3^4 + 5170812420223280/3195102120469*c_1001_3^3 - 4857166421119463/6390204240938*c_1001_3^2 - 3007653640536423/912886320134*c_1001_3 - 7908820323958634/3195102120469, c_0011_0 - 1, c_0011_3 + 1944016344/26849597651*c_1001_3^8 + 11891496355/26849597651*c_1001_3^7 + 52865853711/53699195302*c_1001_3^6 + 18533976207/26849597651*c_1001_3^5 - 39928914471/53699195302*c_1001_3^4 - 23447753163/26849597651*c_1001_3^3 + 33801405934/26849597651*c_1001_3^2 + 103515020393/53699195302*c_1001_3 + 55994971649/53699195302, c_0011_5 - 360529136/26849597651*c_1001_3^8 - 2560651630/26849597651*c_1001_3^7 - 8220902691/26849597651*c_1001_3^6 - 11760284059/26849597651*c_1001_3^5 - 2502558406/26849597651*c_1001_3^4 + 14936401949/26849597651*c_1001_3^3 + 12666486855/26849597651*c_1001_3^2 - 18011979731/26849597651*c_1001_3 - 15042787941/26849597651, c_0011_7 - 1937790432/26849597651*c_1001_3^8 - 12395105656/26849597651*c_1001_3^7 - 56990832935/53699195302*c_1001_3^6 - 40358457377/53699195302*c_1001_3^5 + 21745695358/26849597651*c_1001_3^4 + 27061943017/26849597651*c_1001_3^3 - 19262510039/26849597651*c_1001_3^2 - 100876556147/53699195302*c_1001_3 - 36944254563/26849597651, c_0101_0 - 1, c_0101_1 + 1375303848/26849597651*c_1001_3^8 + 5609059185/26849597651*c_1001_3^7 + 2228644367/26849597651*c_1001_3^6 - 25888635823/53699195302*c_1001_3^5 - 8288287135/53699195302*c_1001_3^4 + 26630987819/26849597651*c_1001_3^3 + 16368528078/26849597651*c_1001_3^2 - 1365563494/26849597651*c_1001_3 + 9823275515/53699195302, c_0101_2 + 1411690144/26849597651*c_1001_3^8 + 4299050712/26849597651*c_1001_3^7 - 7020015703/53699195302*c_1001_3^6 - 46243498131/53699195302*c_1001_3^5 - 13565615923/26849597651*c_1001_3^4 + 39492827968/26849597651*c_1001_3^3 + 32738513157/26849597651*c_1001_3^2 - 52025393547/53699195302*c_1001_3 - 46350273571/26849597651, c_0101_4 + 608405052/26849597651*c_1001_3^8 + 3386196659/53699195302*c_1001_3^7 - 9921966957/53699195302*c_1001_3^6 - 20946176338/26849597651*c_1001_3^5 - 14735485276/26849597651*c_1001_3^4 + 20227402303/26849597651*c_1001_3^3 + 25774685673/53699195302*c_1001_3^2 - 29067061264/26849597651*c_1001_3 - 20331002281/26849597651, c_0101_9 - 2533394620/26849597651*c_1001_3^8 - 33923680555/53699195302*c_1001_3^7 - 37196700045/26849597651*c_1001_3^6 - 15271922974/26849597651*c_1001_3^5 + 91679808897/53699195302*c_1001_3^4 + 29552001322/26849597651*c_1001_3^3 - 114646914833/53699195302*c_1001_3^2 - 117821977177/53699195302*c_1001_3 + 5091888189/53699195302, c_1001_3^9 + 61/8*c_1001_3^8 + 169/8*c_1001_3^7 + 173/8*c_1001_3^6 - 8*c_1001_3^5 - 207/8*c_1001_3^4 + 109/8*c_1001_3^3 + 211/4*c_1001_3^2 + 299/8*c_1001_3 - 17/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB