Magma V2.19-8 Tue Aug 20 2013 23:39:29 on localhost [Seed = 1460744979] Type ? for help. Type -D to quit. Loading file "K13n628__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n628 geometric_solution 10.28617105 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 -1 0 -1 1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440099622229 0.820826823142 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.806981205456 1.007587696369 3 0 8 6 0132 0132 0132 2031 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 0 0 0 0 0 0 0 1 -2 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900418626760 0.623675039296 2 7 5 0 0132 1230 1023 0132 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 -1 0 1 0 0 -1 1 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440099622229 0.820826823142 9 10 0 9 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.507351995184 0.946258768213 10 1 3 9 0321 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373230120909 0.465533560823 8 2 1 10 0132 1302 0132 1302 0 0 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 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 0.275994277485 0.683137032156 8 10 3 1 1302 1302 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183392656863 0.957337782032 6 7 9 2 0132 2031 2031 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730683813854 0.689438158453 4 5 4 8 0132 0321 1230 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104186590049 0.585542985155 5 4 6 7 0321 0132 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.413773571055 1.123002151329 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_10' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_8' : negation(d['c_1001_1']), 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_1001_1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : 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' : 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' : 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_10'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0110_10' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], '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_3'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_1001_1, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 539243/11*c_1001_9^3 - 1073210/33*c_1001_9^2 - 4664966/165*c_1001_9 + 4805809/165, c_0011_0 - 1, c_0011_10 - 5/3*c_1001_9^3 - 10/3*c_1001_9^2 - 7/3*c_1001_9, c_0011_6 + c_1001_9, c_0011_7 - 5/3*c_1001_9^3 - 5/3*c_1001_9^2 - 2*c_1001_9 + 1/3, c_0101_0 - c_1001_9, c_0101_1 - 5/3*c_1001_9^3 - 5/3*c_1001_9^2 - 2*c_1001_9 - 2/3, c_0101_10 - 5/3*c_1001_9^3 - 5/3*c_1001_9^2 - 2*c_1001_9 - 2/3, c_0101_3 + 5/3*c_1001_9^3 + 5/3*c_1001_9^2 + 2*c_1001_9 - 1/3, c_0101_8 + 5/3*c_1001_9^3 + 5/3*c_1001_9^2 - 1/3, c_1001_1 + c_1001_9 + 1, c_1001_9^4 + c_1001_9^3 + 4/5*c_1001_9^2 - 2/5*c_1001_9 - 1/5 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_1001_1, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 142487/849888*c_1001_9^7 - 159505/141648*c_1001_9^6 - 180047/849888*c_1001_9^5 + 5523623/849888*c_1001_9^4 + 251633/70824*c_1001_9^3 - 355683/94432*c_1001_9^2 + 2932799/424944*c_1001_9 - 410303/106236, c_0011_0 - 1, c_0011_10 - 329/16344*c_1001_9^7 + 269/1816*c_1001_9^6 - 1129/16344*c_1001_9^5 - 11885/16344*c_1001_9^4 - 133/1362*c_1001_9^3 + 2377/2724*c_1001_9^2 - 1313/2043*c_1001_9 + 473/2043, c_0011_6 + 769/32688*c_1001_9^7 - 949/5448*c_1001_9^6 + 653/8172*c_1001_9^5 + 3821/4086*c_1001_9^4 - 801/3632*c_1001_9^3 - 3889/5448*c_1001_9^2 + 2645/2043*c_1001_9 - 2069/2043, c_0011_7 - 163/10896*c_1001_9^7 + 509/5448*c_1001_9^6 + 31/454*c_1001_9^5 - 1603/2724*c_1001_9^4 - 6089/10896*c_1001_9^3 + 79/5448*c_1001_9^2 - 53/1362*c_1001_9 + 90/227, c_0101_0 - 769/32688*c_1001_9^7 + 949/5448*c_1001_9^6 - 653/8172*c_1001_9^5 - 3821/4086*c_1001_9^4 + 801/3632*c_1001_9^3 + 3889/5448*c_1001_9^2 - 2645/2043*c_1001_9 + 2069/2043, c_0101_1 - 311/32688*c_1001_9^7 + 359/5448*c_1001_9^6 + 17/2043*c_1001_9^5 - 3869/8172*c_1001_9^4 + 259/3632*c_1001_9^3 + 3413/5448*c_1001_9^2 - 2243/4086*c_1001_9 + 1036/2043, c_0101_10 - 311/32688*c_1001_9^7 + 359/5448*c_1001_9^6 + 17/2043*c_1001_9^5 - 3869/8172*c_1001_9^4 + 259/3632*c_1001_9^3 + 3413/5448*c_1001_9^2 - 2243/4086*c_1001_9 + 1036/2043, c_0101_3 + 163/10896*c_1001_9^7 - 509/5448*c_1001_9^6 - 31/454*c_1001_9^5 + 1603/2724*c_1001_9^4 + 6089/10896*c_1001_9^3 - 79/5448*c_1001_9^2 + 53/1362*c_1001_9 - 90/227, c_0101_8 - 25/4086*c_1001_9^7 + 217/5448*c_1001_9^6 + 313/16344*c_1001_9^5 - 4339/16344*c_1001_9^4 - 1345/5448*c_1001_9^3 + 713/908*c_1001_9^2 + 421/4086*c_1001_9 - 560/2043, c_1001_1 - 1, c_1001_9^8 - 8*c_1001_9^7 + 8*c_1001_9^6 + 36*c_1001_9^5 - 29*c_1001_9^4 - 24*c_1001_9^3 + 80*c_1001_9^2 - 96*c_1001_9 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.450 seconds, Total memory usage: 32.09MB