Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 458917837] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1098 geometric_solution 4.96512765 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 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 -1 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 0.347394150644 0.058200408784 0 2 0 2 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.019899075554 1.688722558711 1 1 3 4 3201 0132 0132 0132 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 -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 0.429570468155 0.629173359443 5 4 6 2 0132 3012 0132 0132 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 0 -1 1 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 0.988213874880 0.599184898532 3 5 2 6 1230 3201 0132 2310 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 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 0.988213874880 0.599184898532 3 6 4 6 0132 3120 2310 1302 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 1.463457672308 0.866667090126 4 5 5 3 3201 3120 2031 0132 0 0 0 0 0 0 1 -1 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 -1 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 0 0 0 0.463457672308 0.866667090126 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 1193153/996672*c_0101_4^11 - 1083751/124584*c_0101_4^9 + 19432171/498336*c_0101_4^7 - 26815871/996672*c_0101_4^5 + 61838087/996672*c_0101_4^3 - 43912411/996672*c_0101_4, c_0011_0 - 1, c_0011_3 + 1129/41528*c_0101_3*c_0101_4^11 - 7571/41528*c_0101_3*c_0101_4^9 + 33169/41528*c_0101_3*c_0101_4^7 - 2827/10382*c_0101_3*c_0101_4^5 + 74841/41528*c_0101_3*c_0101_4^3 - 11909/20764*c_0101_3*c_0101_4, c_0011_6 - 247/20764*c_0101_4^10 + 2015/20764*c_0101_4^8 - 10797/20764*c_0101_4^6 + 9389/10382*c_0101_4^4 - 47823/20764*c_0101_4^2 + 6519/5191, c_0101_0 + 475/20764*c_0101_4^10 - 3875/20764*c_0101_4^8 + 17569/20764*c_0101_4^6 - 9271/10382*c_0101_4^4 + 13703/20764*c_0101_4^2 - 5349/5191, c_0101_1 - 83/10382*c_0101_4^11 + 1081/20764*c_0101_4^9 - 4293/20764*c_0101_4^7 - 2995/20764*c_0101_4^5 + 1748/5191*c_0101_4^3 - 14609/20764*c_0101_4, c_0101_3^2 + 43/5191*c_0101_4^10 - 624/5191*c_0101_4^8 + 3645/5191*c_0101_4^6 - 9700/5191*c_0101_4^4 + 5131/5191*c_0101_4^2 + 63/5191, c_0101_4^12 - 8*c_0101_4^10 + 38*c_0101_4^8 - 47*c_0101_4^6 + 71*c_0101_4^4 - 75*c_0101_4^2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB