Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 2901225601] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s212 geometric_solution 4.35143838 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 1 0 -1 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 -1 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 1.870646141533 0.472889251677 0 2 3 0 0132 0132 0132 3201 0 0 0 0 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 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520319608601 0.920213855660 4 1 3 3 0132 0132 1302 2031 0 0 0 0 0 1 0 -1 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 1 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337062213747 0.422151909914 2 2 4 1 2031 1302 2310 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337062213747 0.422151909914 2 3 5 5 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.842010573663 1.347807725559 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384611143962 0.693772541052 ==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' : 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_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' : 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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 49769274690/1542669347*c_0101_4^11 - 305162710023/1542669347*c_0101_4^10 - 174038739538/1542669347*c_0101_4^9 + 1224631018129/1542669347*c_0101_4^8 + 1841073270594/1542669347*c_0101_4^7 - 1078969002434/1542669347*c_0101_4^6 - 3055697579770/1542669347*c_0101_4^5 - 687133249282/1542669347*c_0101_4^4 + 1281769259511/1542669347*c_0101_4^3 + 497919206789/1542669347*c_0101_4^2 - 272437713799/1542669347*c_0101_4 - 66804161713/1542669347, c_0011_0 - 1, c_0011_3 + 577512087/1542669347*c_0101_4^11 + 3060122495/1542669347*c_0101_4^10 - 836513060/1542669347*c_0101_4^9 - 15536799213/1542669347*c_0101_4^8 - 10500696181/1542669347*c_0101_4^7 + 27171819553/1542669347*c_0101_4^6 + 25665519841/1542669347*c_0101_4^5 - 13252708414/1542669347*c_0101_4^4 - 18461582178/1542669347*c_0101_4^3 + 132888813/1542669347*c_0101_4^2 + 4309720186/1542669347*c_0101_4 - 326271398/1542669347, c_0011_5 + 496069593/1542669347*c_0101_4^11 + 2852524979/1542669347*c_0101_4^10 + 440204131/1542669347*c_0101_4^9 - 13655763081/1542669347*c_0101_4^8 - 14059986616/1542669347*c_0101_4^7 + 20422504758/1542669347*c_0101_4^6 + 29780957241/1542669347*c_0101_4^5 - 7101825418/1542669347*c_0101_4^4 - 19304780686/1542669347*c_0101_4^3 + 304855861/1542669347*c_0101_4^2 + 5000122760/1542669347*c_0101_4 + 177961467/1542669347, c_0101_0 - 4968681117/1542669347*c_0101_4^11 - 30543511601/1542669347*c_0101_4^10 - 17351196381/1542669347*c_0101_4^9 + 124889918271/1542669347*c_0101_4^8 + 186775663559/1542669347*c_0101_4^7 - 115676751040/1542669347*c_0101_4^6 - 320032118161/1542669347*c_0101_4^5 - 63853640628/1542669347*c_0101_4^4 + 144403194261/1542669347*c_0101_4^3 + 55709925334/1542669347*c_0101_4^2 - 29180131886/1542669347*c_0101_4 - 8457507299/1542669347, c_0101_1 + 1512698595/1542669347*c_0101_4^11 + 9661866929/1542669347*c_0101_4^10 + 7266857626/1542669347*c_0101_4^9 - 38085716336/1542669347*c_0101_4^8 - 65918609987/1542669347*c_0101_4^7 + 27258235090/1542669347*c_0101_4^6 + 110621284985/1542669347*c_0101_4^5 + 35214726070/1542669347*c_0101_4^4 - 46489512196/1542669347*c_0101_4^3 - 25881143337/1542669347*c_0101_4^2 + 6917263814/1542669347*c_0101_4 + 3847693211/1542669347, c_0101_4^12 + 19/3*c_0101_4^11 + 14/3*c_0101_4^10 - 73/3*c_0101_4^9 - 127/3*c_0101_4^8 + 47/3*c_0101_4^7 + 206/3*c_0101_4^6 + 26*c_0101_4^5 - 80/3*c_0101_4^4 - 53/3*c_0101_4^3 + 11/3*c_0101_4^2 + 3*c_0101_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB