Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 3650635025] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1564 geometric_solution 5.34914632 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.403618484677 0.652317460940 0 3 2 4 0132 0132 1230 0132 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 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767698061342 0.982047149162 3 0 4 1 3201 0132 2310 3012 0 0 0 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 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 0.767698061342 0.982047149162 3 1 3 2 2310 0132 3201 2310 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 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 -0.141542706531 0.904970914629 5 2 1 5 0132 3201 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774000112406 0.486126373946 4 6 6 4 0132 0132 1023 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 1.321980903945 0.338916141179 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.562473301276 0.161757567910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : 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_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_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : 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_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 10153276095/402292312*c_0101_5*c_0101_6^9 - 634744503/100573078*c_0101_5*c_0101_6^8 - 20088327601/201146156*c_0101_5*c_0101_6^7 + 35632433191/100573078*c_0101_5*c_0101_6^6 - 251918274021/402292312*c_0101_5*c_0101_6^5 - 106893460003/201146156*c_0101_5*c_0101_6^4 + 420022037319/402292312*c_0101_5*c_0101_6^3 + 31877123371/402292312*c_0101_5*c_0101_6^2 - 69580058077/402292312*c_0101_5*c_0101_6 + 81741519081/402292312*c_0101_5, c_0011_0 - 1, c_0011_4 - 83874153/402292312*c_0101_5*c_0101_6^9 - 23306313/201146156*c_0101_5*c_0101_6^8 + 30914383/50286539*c_0101_5*c_0101_6^7 - 487477623/201146156*c_0101_5*c_0101_6^6 + 1413119529/402292312*c_0101_5*c_0101_6^5 + 1123757433/201146156*c_0101_5*c_0101_6^4 - 397669117/402292312*c_0101_5*c_0101_6^3 - 252321279/402292312*c_0101_5*c_0101_6^2 - 82683749/402292312*c_0101_5*c_0101_6 + 275598323/402292312*c_0101_5, c_0101_0 + 10554525/402292312*c_0101_6^9 + 7984230/50286539*c_0101_6^8 - 3803601/201146156*c_0101_6^7 - 1239193/50286539*c_0101_6^6 + 556843573/402292312*c_0101_6^5 - 739397961/201146156*c_0101_6^4 - 896170131/402292312*c_0101_6^3 - 48477019/402292312*c_0101_6^2 - 998194391/402292312*c_0101_6 + 6984535/402292312, c_0101_1 + 4812240/50286539*c_0101_6^9 + 48852831/201146156*c_0101_6^8 - 55551245/201146156*c_0101_6^7 + 109327397/201146156*c_0101_6^6 + 180098341/201146156*c_0101_6^5 - 354634579/50286539*c_0101_6^4 - 231442069/100573078*c_0101_6^3 + 621493997/201146156*c_0101_6^2 - 49124893/50286539*c_0101_6 - 58002909/201146156, c_0101_2 + 15730137/100573078*c_0101_5*c_0101_6^9 + 1888062/50286539*c_0101_5*c_0101_6^8 - 31914078/50286539*c_0101_5*c_0101_6^7 + 94882166/50286539*c_0101_5*c_0101_6^6 - 289686815/100573078*c_0101_5*c_0101_6^5 - 258872783/50286539*c_0101_5*c_0101_6^4 + 488323731/100573078*c_0101_5*c_0101_6^3 + 297599655/100573078*c_0101_5*c_0101_6^2 + 67712867/100573078*c_0101_5*c_0101_6 + 180649017/100573078*c_0101_5, c_0101_5^2 + 53953623/402292312*c_0101_6^9 + 44001183/402292312*c_0101_6^8 - 157158147/402292312*c_0101_6^7 + 586970641/402292312*c_0101_6^6 - 185617321/100573078*c_0101_6^5 - 881930735/201146156*c_0101_6^4 + 55488281/402292312*c_0101_6^3 - 25323046/50286539*c_0101_6^2 + 43787815/402292312*c_0101_6 - 27374667/100573078, c_0101_6^10 + c_0101_6^9 - 8/3*c_0101_6^8 + 32/3*c_0101_6^7 - 35/3*c_0101_6^6 - 35*c_0101_6^5 - 11/3*c_0101_6^4 - 2*c_0101_6^3 - 20/3*c_0101_6^2 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB