Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 3431813540] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3156 geometric_solution 6.31022509 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 1 -1 1 0 0 -1 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 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 0.602436315466 0.945648681634 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.581599310834 0.644015493644 3 0 4 5 3201 0132 3201 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581599310834 0.644015493644 4 1 4 2 1302 0132 2031 2310 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 -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 0.387468933192 0.855254926889 2 3 1 3 2310 2031 0132 1302 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 1 -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 0.812554643440 0.720349078504 2 6 6 1 3201 0132 1023 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 0.767285120582 0.542945304154 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 1.616444033629 0.498445849582 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : 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' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(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' : negation(d['c_0011_4']), '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' : d['c_0101_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : 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' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), '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_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : 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: 26 Groebner basis: [ t + 7537781686107921184285/141897144841440512058*c_0101_5*c_0101_6^12 - 7458161674744710840247/15766349426826723562*c_0101_5*c_0101_6^11 - 12346763112879600136627/23649524140240085343*c_0101_5*c_0101_6^10 + 45138606508143974374055/15766349426826723562*c_0101_5*c_0101_6^9 - 275184943201728118538831/70948572420720256029*c_0101_5*c_0101_6^8 - 2600300631782815663744807/47299048280480170686*c_0101_5*c_0101_6^7 - 3403348319903656331936840/70948572420720256029*c_0101_5*c_0101_6^6 + 2507487520699251412218485/70948572420720256029*c_0101_5*c_0101_6^5 + 52040469160304287045697/1391148478837652079*c_0101_5*c_0101_6^4 + 329925527623946335890423/15766349426826723562*c_0101_5*c_0101_6^3 + 255864895710120400301927/70948572420720256029*c_0101_5*c_0101_6^2 + 156362272997035081615741/141897144841440512058*c_0101_5*c_0101_6 + 26262653353206552499111/70948572420720256029*c_0101_5, c_0011_0 - 1, c_0011_4 + 1807025661434612876/23649524140240085343*c_0101_5*c_0101_6^1\ 2 - 5523802584591653417/7883174713413361781*c_0101_5*c_0101_6^11 - 13398833624635253128/23649524140240085343*c_0101_5*c_0101_6^10 + 101360373123750799793/23649524140240085343*c_0101_5*c_0101_6^9 - 158912085708366693998/23649524140240085343*c_0101_5*c_0101_6^8 - 1830132555999392289500/23649524140240085343*c_0101_5*c_0101_6^7 - 380160071799836169844/7883174713413361781*c_0101_5*c_0101_6^6 + 514058929752203600011/7883174713413361781*c_0101_5*c_0101_6^5 + 16836416482868362054/463716159612550693*c_0101_5*c_0101_6^4 + 447282422147155507024/23649524140240085343*c_0101_5*c_0101_6^3 - 6957420293481739771/7883174713413361781*c_0101_5*c_0101_6^2 + 36629229462113980412/23649524140240085343*c_0101_5*c_0101_6 + 19785077633397703646/23649524140240085343*c_0101_5, c_0101_0 + 384262340067940078/7883174713413361781*c_0101_6^12 - 3426726383039126634/7883174713413361781*c_0101_6^11 - 3749377604697768412/7883174713413361781*c_0101_6^10 + 20872638534890271252/7883174713413361781*c_0101_6^9 - 27849222484466123990/7883174713413361781*c_0101_6^8 - 398122775077793641792/7883174713413361781*c_0101_6^7 - 342614611322980968444/7883174713413361781*c_0101_6^6 + 280839150040434426432/7883174713413361781*c_0101_6^5 + 18404095713784496646/463716159612550693*c_0101_6^4 + 141113467742577277920/7883174713413361781*c_0101_6^3 - 24956728523543036057/7883174713413361781*c_0101_6^2 - 3724851196056211684/7883174713413361781*c_0101_6 - 3965211429908509725/7883174713413361781, c_0101_1 - 486175830841604222/7883174713413361781*c_0101_6^12 + 4551286083287510603/7883174713413361781*c_0101_6^11 + 2746521272263347501/7883174713413361781*c_0101_6^10 - 27869951879599431918/7883174713413361781*c_0101_6^9 + 47830251332353830004/7883174713413361781*c_0101_6^8 + 483677045698063640909/7883174713413361781*c_0101_6^7 + 214385898724449292576/7883174713413361781*c_0101_6^6 - 467504275988813850315/7883174713413361781*c_0101_6^5 - 9790134569867465980/463716159612550693*c_0101_6^4 - 101154540574280151789/7883174713413361781*c_0101_6^3 + 20681408182068709067/7883174713413361781*c_0101_6^2 + 5790933530302380216/7883174713413361781*c_0101_6 + 1185115327817841514/7883174713413361781, c_0101_2 + 8105438022285904934/23649524140240085343*c_0101_5*c_0101_6^1\ 2 - 72878030219333294893/23649524140240085343*c_0101_5*c_0101_6^11 - 24409486041301707916/7883174713413361781*c_0101_5*c_0101_6^10 + 441785820729340536670/23649524140240085343*c_0101_5*c_0101_6^9 - 630195112637566635331/23649524140240085343*c_0101_5*c_0101_6^8 - 8325356761107352371605/23649524140240085343*c_0101_5*c_0101_6^7 - 2205796119277986265510/7883174713413361781*c_0101_5*c_0101_6^6 + 5828149821196337559040/23649524140240085343*c_0101_5*c_0101_6^5 + 306185415154589282807/1391148478837652079*c_0101_5*c_0101_6^4 + 980336826263779753877/7883174713413361781*c_0101_5*c_0101_6^3 + 332286537334023357238/23649524140240085343*c_0101_5*c_0101_6^2 + 32403409085378713627/7883174713413361781*c_0101_5*c_0101_6 + 6851713061833640532/7883174713413361781*c_0101_5, c_0101_5^2 - 16427564320897434/7883174713413361781*c_0101_6^12 + 84301986208472820/7883174713413361781*c_0101_6^11 + 744407619037684498/7883174713413361781*c_0101_6^10 - 527782740736434938/7883174713413361781*c_0101_6^9 - 2673272995714041534/7883174713413361781*c_0101_6^8 + 23048094097537923206/7883174713413361781*c_0101_6^7 + 78158419420711884847/7883174713413361781*c_0101_6^6 + 10620954831603422090/7883174713413361781*c_0101_6^5 - 6229558524639285648/463716159612550693*c_0101_6^4 - 39665633241546241231/7883174713413361781*c_0101_6^3 + 18703292912941655352/7883174713413361781*c_0101_6^2 + 5478420080053968466/7883174713413361781*c_0101_6 - 2445157472594030250/7883174713413361781, c_0101_6^13 - 9*c_0101_6^12 - 9*c_0101_6^11 + 55*c_0101_6^10 - 78*c_0101_6^9 - 1029*c_0101_6^8 - 803*c_0101_6^7 + 770*c_0101_6^6 + 653*c_0101_6^5 + 312*c_0101_6^4 + 21*c_0101_6^3 + 9*c_0101_6^2 + 5*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB