Magma V2.19-8 Tue Aug 20 2013 23:29:55 on localhost [Seed = 4105343673] Type ? for help. Type -D to quit. Loading file "L10n23__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n23 geometric_solution 8.14071922 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 2 1 0132 0132 1023 1023 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 0 1 0 0 0 0 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847265914446 0.676574091227 0 3 4 0 0132 0132 0132 1023 1 1 1 1 0 0 0 0 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 0 0 0 0 0 1 -1 -1 -10 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645229708318 0.378704602396 5 0 0 6 0132 0132 1023 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 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 0.645229708318 0.378704602396 5 1 5 7 1302 0132 1230 0132 1 1 1 1 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 10 -11 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827884295114 0.991365744105 8 7 8 1 0132 0132 3012 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 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 0.979194499001 0.829997402656 2 3 8 3 0132 2031 3120 3012 1 1 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 0 0 0 0 0 0 0 0 -10 0 10 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 0.827884295114 0.991365744105 8 7 2 7 3120 0321 0132 3120 1 1 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 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 0.979194499001 0.829997402656 6 4 3 6 3120 0132 0132 0321 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 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 0.405726730375 0.503725532323 4 4 5 6 0132 1230 3120 3120 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 1 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 0.030182270528 1.204066470019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_8' : d['c_0101_7'], 's_2_8' : 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' : negation(d['1']), 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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_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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1909693305/54523651888*c_1001_1^5 - 3683137419/13630912972*c_1001_1^4 + 19875786679/27261825944*c_1001_1^3 + 601392333/54523651888*c_1001_1^2 - 69755250163/109047303776*c_1001_1 + 136198355317/54523651888, c_0011_0 - 1, c_0011_4 - 1, c_0011_6 + 66/20899*c_1001_1^5 - 1224/20899*c_1001_1^4 + 6892/20899*c_1001_1^3 - 16672/20899*c_1001_1^2 + 6043/20899*c_1001_1 - 3707/20899, c_0101_0 + 39186/2027203*c_1001_1^5 - 354340/2027203*c_1001_1^4 + 1173708/2027203*c_1001_1^3 - 1185638/2027203*c_1001_1^2 + 1078114/2027203*c_1001_1 - 1594876/2027203, c_0101_1 + 8492/2027203*c_1001_1^5 - 73892/2027203*c_1001_1^4 + 204070/2027203*c_1001_1^3 + 334884/2027203*c_1001_1^2 - 1054613/2027203*c_1001_1 - 658092/2027203, c_0101_2 + 8492/2027203*c_1001_1^5 - 73892/2027203*c_1001_1^4 + 204070/2027203*c_1001_1^3 + 334884/2027203*c_1001_1^2 - 1054613/2027203*c_1001_1 - 658092/2027203, c_0101_5 + c_1001_1, c_0101_7 - 59020/2027203*c_1001_1^5 + 440984/2027203*c_1001_1^4 - 1317084/2027203*c_1001_1^3 + 802618/2027203*c_1001_1^2 - 1523026/2027203*c_1001_1 - 920574/2027203, c_1001_1^6 - 8*c_1001_1^5 + 24*c_1001_1^4 - 15*c_1001_1^3 + 37/2*c_1001_1^2 + 17*c_1001_1 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.220 seconds, Total memory usage: 32.09MB