Magma V2.19-8 Tue Aug 20 2013 23:56:31 on localhost [Seed = 1528640335] Type ? for help. Type -D to quit. Loading file "L14n23756__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23756 geometric_solution 11.05171422 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 1 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 0 0 0 -1 1 0 0 0 -1 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.078074465062 0.905070168724 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.413878726512 0.512419842209 0 0 8 7 3012 0132 0132 0132 0 0 1 1 0 1 0 -1 -1 0 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 1 0 -1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552349321029 0.542250837224 9 4 10 0 0132 1230 0132 0132 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 0 0 0 0 1 0 -1 -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 0.413038380972 0.737223588155 6 1 3 5 0321 0132 3012 2031 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 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 0.607223498337 0.890794900946 9 4 1 11 2103 1302 0132 0132 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 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 1.446211326154 1.777056613544 4 9 7 1 0321 0132 2310 0132 0 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 1 0 -1 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 0.205917438097 1.693961951267 10 6 2 8 2031 3201 0132 1302 0 0 0 1 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 -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 0.605650688402 0.623068784303 9 11 7 2 3012 3012 2031 0132 0 0 1 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 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003328823417 0.672566212816 3 6 5 8 0132 0132 2103 1230 0 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 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687675921497 0.460973092142 11 11 7 3 3120 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0.336361596518 1.002441838582 8 10 5 10 1230 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0.159841464897 0.512916471081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_5'], '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' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_8'], '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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], '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_3'], '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_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_4, c_0101_7, c_0101_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5295372335/51343396*c_1001_11^7 - 94883035667/51343396*c_1001_11^6 + 637466217639/51343396*c_1001_11^5 - 2052072590589/51343396*c_1001_11^4 + 869159656116/12835849*c_1001_11^3 - 742486410518/12835849*c_1001_11^2 + 1166837083639/51343396*c_1001_11 - 152993232293/51343396, c_0011_0 - 1, c_0011_10 + 5575/103934*c_1001_11^7 - 50278/51967*c_1001_11^6 + 677033/103934*c_1001_11^5 - 2146245/103934*c_1001_11^4 + 3412083/103934*c_1001_11^3 - 1255641/51967*c_1001_11^2 + 402706/51967*c_1001_11 - 58010/51967, c_0011_3 - 52/331*c_1001_11^7 + 1791/662*c_1001_11^6 - 11309/662*c_1001_11^5 + 16509/331*c_1001_11^4 - 24359/331*c_1001_11^3 + 33461/662*c_1001_11^2 - 5869/331*c_1001_11 + 1977/662, c_0011_5 - 52/331*c_1001_11^7 + 1791/662*c_1001_11^6 - 11309/662*c_1001_11^5 + 16509/331*c_1001_11^4 - 24359/331*c_1001_11^3 + 33461/662*c_1001_11^2 - 5869/331*c_1001_11 + 1977/662, c_0011_7 - 3901/51967*c_1001_11^7 + 67864/51967*c_1001_11^6 - 866171/103934*c_1001_11^5 + 2538029/103934*c_1001_11^4 - 3639981/103934*c_1001_11^3 + 1127130/51967*c_1001_11^2 - 276602/51967*c_1001_11 + 115805/103934, c_0011_8 - 7484/51967*c_1001_11^7 + 130449/51967*c_1001_11^6 - 1680637/103934*c_1001_11^5 + 2538929/51967*c_1001_11^4 - 7906643/103934*c_1001_11^3 + 5930007/103934*c_1001_11^2 - 2075035/103934*c_1001_11 + 162599/51967, c_0101_0 + 8468/51967*c_1001_11^7 - 144823/51967*c_1001_11^6 + 903156/51967*c_1001_11^5 - 2578306/51967*c_1001_11^4 + 3677450/51967*c_1001_11^3 - 2431117/51967*c_1001_11^2 + 911110/51967*c_1001_11 - 176645/51967, c_0101_11 - 304/51967*c_1001_11^7 + 8459/103934*c_1001_11^6 - 30799/103934*c_1001_11^5 - 13607/51967*c_1001_11^4 + 146913/51967*c_1001_11^3 - 391143/103934*c_1001_11^2 + 10323/51967*c_1001_11 + 42901/103934, c_0101_4 - 1, c_0101_7 - 6691/51967*c_1001_11^7 + 227379/103934*c_1001_11^6 - 701086/51967*c_1001_11^5 + 3920443/103934*c_1001_11^4 - 5361233/103934*c_1001_11^3 + 3074509/103934*c_1001_11^2 - 378447/51967*c_1001_11 - 1136/51967, c_0101_8 + 4464/51967*c_1001_11^7 - 157035/103934*c_1001_11^6 + 511948/51967*c_1001_11^5 - 3136875/103934*c_1001_11^4 + 4905437/103934*c_1001_11^3 - 3588553/103934*c_1001_11^2 + 630655/51967*c_1001_11 - 103013/51967, c_1001_11^8 - 18*c_1001_11^7 + 122*c_1001_11^6 - 400*c_1001_11^5 + 705*c_1001_11^4 - 664*c_1001_11^3 + 339*c_1001_11^2 - 94*c_1001_11 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.350 seconds, Total memory usage: 32.09MB