Magma V2.19-8 Tue Aug 20 2013 23:52:46 on localhost [Seed = 3230051089] Type ? for help. Type -D to quit. Loading file "L13n37__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n37 geometric_solution 11.16470021 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 1 0 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 1 0 -1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106670917110 1.045678243232 0 0 5 4 0132 1302 0132 0132 1 1 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096550348100 0.946467895097 5 0 5 6 0132 0132 3012 0132 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 -1 0 1 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 0.096550348100 0.946467895097 6 7 8 0 0132 0132 0132 0132 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 0 0 0 0 0 -1 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823052177136 1.110952211939 5 8 1 9 2103 1230 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954782450590 0.902160904534 2 2 4 1 0132 1230 2103 0132 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 1 -1 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 0.527708905689 0.552836050289 3 9 2 10 0132 3012 0132 0132 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 1 -1 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449955993790 0.487457140679 11 3 9 11 0132 0132 3012 1023 1 1 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 0 0 0 0 -4 3 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240722509059 0.749378268634 11 10 4 3 2031 0321 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396431488602 0.865527714051 6 7 4 10 1230 1230 0132 0321 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 -1 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 0.536347046518 0.412646026937 11 9 6 8 1023 0321 0132 0321 1 1 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 0 0 0 0 0 0 0 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856926084924 0.757693710966 7 10 8 7 0132 1023 1302 1023 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 0 0 0 0 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936682903775 0.930480759389 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_1001_4']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_0011_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0011_11' : 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_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_1'], '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_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), '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_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_10']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 512/5*c_1001_4 - 256/5, c_0011_0 - 1, c_0011_10 + c_1001_4 + 1, c_0011_4 + c_1001_4 + 2, c_0011_8 + 1/2, c_0011_9 + c_1001_4 + 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + c_1001_4 + 1, c_0101_7 - c_1001_4 - 3/2, c_0101_8 + 1/2, c_0101_9 + c_1001_4 + 1, c_1001_4^2 + 2*c_1001_4 + 5/4 ], 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 2809856/2185*c_1001_4^2 + 7800832/2185*c_1001_4 + 288256/95, c_0011_0 - 1, c_0011_10 - 2*c_1001_4^2 - 6*c_1001_4 - 5, c_0011_4 + c_1001_4 + 2, c_0011_8 - 2*c_1001_4^2 - 5*c_1001_4 - 4, c_0011_9 + c_1001_4 + 1, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 6*c_1001_4^2 + 16*c_1001_4 + 12, c_0101_7 + 1/2, c_0101_8 - 2*c_1001_4^2 - 4*c_1001_4 - 2, c_0101_9 + c_1001_4 + 1, c_1001_4^3 + 4*c_1001_4^2 + 23/4*c_1001_4 + 23/8 ], 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2261790/961*c_1001_4^6 + 60668611/3844*c_1001_4^5 + 91363483/1922*c_1001_4^4 + 157418551/1922*c_1001_4^3 + 2601184011/30752*c_1001_4^2 + 3063807513/61504*c_1001_4 + 1595055207/123008, c_0011_0 - 1, c_0011_10 - 8*c_1001_4^6 - 48*c_1001_4^5 - 128*c_1001_4^4 - 193*c_1001_4^3 - 343/2*c_1001_4^2 - 341/4*c_1001_4 - 37/2, c_0011_4 + c_1001_4 + 2, c_0011_8 - 8*c_1001_4^4 - 40*c_1001_4^3 - 80*c_1001_4^2 - 78*c_1001_4 - 31, c_0011_9 - c_1001_4 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 16*c_1001_4^6 + 112*c_1001_4^5 + 344*c_1001_4^4 + 598*c_1001_4^3 + 621*c_1001_4^2 + 735/2*c_1001_4 + 98, c_0101_7 + 16*c_1001_4^6 + 112*c_1001_4^5 + 344*c_1001_4^4 + 594*c_1001_4^3 + 607*c_1001_4^2 + 697/2*c_1001_4 + 88, c_0101_8 + 2*c_1001_4^2 + 4*c_1001_4 + 2, c_0101_9 - c_1001_4 - 1, c_1001_4^7 + 8*c_1001_4^6 + 29*c_1001_4^5 + 493/8*c_1001_4^4 + 1323/16*c_1001_4^3 + 2241/32*c_1001_4^2 + 555/16*c_1001_4 + 31/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB