Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1696922033] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1219 geometric_solution 5.11575804 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 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 -0.090187709546 1.428329451218 0 3 1 1 0132 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445075216907 1.806121175957 5 0 3 5 0132 0132 3201 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 -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 0.321963130159 0.170402756727 2 1 4 0 2310 0132 2310 0132 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 -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 -0.090187709546 1.428329451218 6 3 0 6 0132 3201 0132 1023 0 0 0 0 0 0 1 -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 0 1 -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 0.328711529049 0.281325251897 2 2 5 5 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.496442163785 1.293348873093 4 6 6 4 0132 1230 3012 1023 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 0 0 0 0 1.680548650087 1.104141955559 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : 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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_0'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 983581309342766532/268695475618711*c_0101_6^11 + 508516775571759255/268695475618711*c_0101_6^10 + 8812662287605657069/537390951237422*c_0101_6^9 - 43633568634272836989/4299127609899376*c_0101_6^8 - 113899805880023735173/4299127609899376*c_0101_6^7 + 88874379327212513775/4299127609899376*c_0101_6^6 + 3464971696154301897/268695475618711*c_0101_6^5 - 12230887566126093347/537390951237422*c_0101_6^4 - 17772988081897917125/2149563804949688*c_0101_6^3 + 36045432217897738221/4299127609899376*c_0101_6^2 + 780310444881392927/537390951237422*c_0101_6 - 2003030313095623457/2149563804949688, c_0011_0 - 1, c_0011_4 + 9396769653471984/268695475618711*c_0101_6^11 - 3065860445582228/268695475618711*c_0101_6^10 - 42241009111474482/268695475618711*c_0101_6^9 + 72015095727281963/1074781902474844*c_0101_6^8 + 69400524526041334/268695475618711*c_0101_6^7 - 158201604063365369/1074781902474844*c_0101_6^6 - 148494314319258255/1074781902474844*c_0101_6^5 + 200618559388835563/1074781902474844*c_0101_6^4 + 114642093996956867/1074781902474844*c_0101_6^3 - 27730005608495277/537390951237422*c_0101_6^2 - 9271660682620609/537390951237422*c_0101_6 + 1304795826055828/268695475618711, c_0101_0 + 3146961353758944/268695475618711*c_0101_6^11 - 1041143379984872/268695475618711*c_0101_6^10 - 14025238706584996/268695475618711*c_0101_6^9 + 12116298729694147/537390951237422*c_0101_6^8 + 22739283273460986/268695475618711*c_0101_6^7 - 26343158974533165/537390951237422*c_0101_6^6 - 23583742221391937/537390951237422*c_0101_6^5 + 33159668256624731/537390951237422*c_0101_6^4 + 19129087594058541/537390951237422*c_0101_6^3 - 4458248184838203/268695475618711*c_0101_6^2 - 1378211917185565/268695475618711*c_0101_6 + 564705088688167/268695475618711, c_0101_1 - 6281180075371728/268695475618711*c_0101_6^11 + 1214737481862652/268695475618711*c_0101_6^10 + 28668317354610022/268695475618711*c_0101_6^9 - 33864852714459041/1074781902474844*c_0101_6^8 - 48650423215952501/268695475618711*c_0101_6^7 + 84999092659077139/1074781902474844*c_0101_6^6 + 116527306909293105/1074781902474844*c_0101_6^5 - 128264845098070101/1074781902474844*c_0101_6^4 - 93621883851817613/1074781902474844*c_0101_6^3 + 15990836213026943/537390951237422*c_0101_6^2 + 7988011181661235/537390951237422*c_0101_6 - 856101800719418/268695475618711, c_0101_3 + 2386905542702272/268695475618711*c_0101_6^11 - 2092189377652048/268695475618711*c_0101_6^10 - 10090125947310328/268695475618711*c_0101_6^9 + 10228513285343479/268695475618711*c_0101_6^8 + 14203126122775051/268695475618711*c_0101_6^7 - 18523430840242587/268695475618711*c_0101_6^6 - 2709821615558540/268695475618711*c_0101_6^5 + 15764618352993546/268695475618711*c_0101_6^4 + 304075362678771/268695475618711*c_0101_6^3 - 5941078511927141/268695475618711*c_0101_6^2 + 244040412441576/268695475618711*c_0101_6 + 326291060587594/268695475618711, c_0101_5 - 13190776469544320/268695475618711*c_0101_6^11 + 5054217502101952/268695475618711*c_0101_6^10 + 59072391302254104/268695475618711*c_0101_6^9 - 28452437483956506/268695475618711*c_0101_6^8 - 192520739278592647/537390951237422*c_0101_6^7 + 60376062662095258/268695475618711*c_0101_6^6 + 99745414608043899/537390951237422*c_0101_6^5 - 145506020415990775/537390951237422*c_0101_6^4 - 74975679387533891/537390951237422*c_0101_6^3 + 44193295759481659/537390951237422*c_0101_6^2 + 6278016855408723/268695475618711*c_0101_6 - 2176698601419465/268695475618711, c_0101_6^12 - 3/4*c_0101_6^11 - 35/8*c_0101_6^10 + 245/64*c_0101_6^9 + 213/32*c_0101_6^8 - 473/64*c_0101_6^7 - 147/64*c_0101_6^6 + 457/64*c_0101_6^5 + 53/64*c_0101_6^4 - 93/32*c_0101_6^3 + 1/8*c_0101_6^2 + 3/8*c_0101_6 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB