Magma V2.19-8 Tue Aug 20 2013 23:30:03 on localhost [Seed = 2446850007] Type ? for help. Type -D to quit. Loading file "L11a277__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a277 geometric_solution 7.88092508 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 1 0132 0132 0132 1023 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 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417549444140 0.560565937624 0 1 1 0 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.806812308341 0.711028469129 3 0 5 4 2310 0132 0132 0132 0 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 0 0 0 0 0 4 -4 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 -0.090527628871 0.985897935782 6 7 2 0 0132 0132 3201 0132 0 0 0 1 0 -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 3 1 -4 0 0 0 0 0 0 0 0 9 -10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090527628871 0.985897935782 5 8 2 7 0132 0132 0132 3120 0 1 1 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 -10 0 0 10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528086369912 0.722627893346 4 6 8 2 0132 1230 2103 0132 0 1 0 1 0 1 0 -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 -3 -1 4 0 0 1 -1 1 0 0 -1 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845353704625 1.358253763743 3 8 5 7 0132 1230 3012 1023 1 0 1 0 0 0 0 0 0 0 -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 -1 1 0 0 0 3 -3 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845353704625 1.358253763743 4 3 8 6 3120 0132 0132 1023 0 1 1 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 -3 0 3 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528086369912 0.722627893346 5 4 6 7 2103 0132 3012 0132 0 1 0 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 -1 0 1 0 1 -1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710202552622 0.404489296724 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], 'c_1001_8' : d['c_0011_3'], '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' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_8' : d['c_1001_0'], '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : negation(d['c_0101_2']), '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_5'], 'c_0110_8' : d['c_0101_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' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_2'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1093013181539/836177319706*c_1001_0^8 + 6559492142767/418088659853*c_1001_0^7 - 21938348475347/836177319706*c_1001_0^6 - 25871305164779/418088659853*c_1001_0^5 - 61845831777927/418088659853*c_1001_0^4 + 22327568286955/418088659853*c_1001_0^3 + 143599133842601/836177319706*c_1001_0^2 + 28811614292055/418088659853*c_1001_0 - 12767041814309/418088659853, c_0011_0 - 1, c_0011_3 - 499602003/13486730963*c_1001_0^8 + 6127733462/13486730963*c_1001_0^7 - 11584219365/13486730963*c_1001_0^6 - 21330029578/13486730963*c_1001_0^5 - 48889180868/13486730963*c_1001_0^4 + 34846556052/13486730963*c_1001_0^3 + 55306883388/13486730963*c_1001_0^2 + 6325054255/13486730963*c_1001_0 - 15565309824/13486730963, c_0011_4 + 594438887/13486730963*c_1001_0^8 - 7342405757/13486730963*c_1001_0^7 + 14532905787/13486730963*c_1001_0^6 + 22593740228/13486730963*c_1001_0^5 + 60501318311/13486730963*c_1001_0^4 - 44866551820/13486730963*c_1001_0^3 - 61458119442/13486730963*c_1001_0^2 - 5374150578/13486730963*c_1001_0 + 23334376776/13486730963, c_0101_0 - 499602003/13486730963*c_1001_0^8 + 6127733462/13486730963*c_1001_0^7 - 11584219365/13486730963*c_1001_0^6 - 21330029578/13486730963*c_1001_0^5 - 48889180868/13486730963*c_1001_0^4 + 34846556052/13486730963*c_1001_0^3 + 55306883388/13486730963*c_1001_0^2 - 7161676708/13486730963*c_1001_0 - 15565309824/13486730963, c_0101_1 - 439324273/13486730963*c_1001_0^8 + 5123626366/13486730963*c_1001_0^7 - 7083843386/13486730963*c_1001_0^6 - 23159187177/13486730963*c_1001_0^5 - 57110145765/13486730963*c_1001_0^4 - 2940566692/13486730963*c_1001_0^3 + 51855630469/13486730963*c_1001_0^2 + 37195721368/13486730963*c_1001_0 - 2534679509/13486730963, c_0101_2 - 1, c_0101_5 - 626930664/13486730963*c_1001_0^8 + 7503900658/13486730963*c_1001_0^7 - 12102491674/13486730963*c_1001_0^6 - 32962517412/13486730963*c_1001_0^5 - 66222454202/13486730963*c_1001_0^4 + 33869188509/13486730963*c_1001_0^3 + 99706327080/13486730963*c_1001_0^2 + 10904701122/13486730963*c_1001_0 - 40115927362/13486730963, c_0101_7 + 499602003/13486730963*c_1001_0^8 - 6127733462/13486730963*c_1001_0^7 + 11584219365/13486730963*c_1001_0^6 + 21330029578/13486730963*c_1001_0^5 + 48889180868/13486730963*c_1001_0^4 - 34846556052/13486730963*c_1001_0^3 - 55306883388/13486730963*c_1001_0^2 - 6325054255/13486730963*c_1001_0 + 15565309824/13486730963, c_1001_0^9 - 13*c_1001_0^8 + 32*c_1001_0^7 + 28*c_1001_0^6 + 63*c_1001_0^5 - 151*c_1001_0^4 - 91*c_1001_0^3 + 95*c_1001_0^2 + 65*c_1001_0 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB