Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 492601447] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3232 geometric_solution 6.36199456 oriented_manifold CS_known -0.0000000000000002 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 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412200647995 0.524619605205 0 5 4 2 0132 0132 3012 2103 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 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 0.946942705660 0.845160353955 2 0 2 1 2310 0132 3201 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758375270815 0.450881396489 6 5 5 0 0132 3201 1230 0132 0 0 0 0 0 1 0 -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 0 -1 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 0.242365730195 1.466977716010 6 1 0 6 3012 1230 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0.622338922094 1.372327940137 6 1 3 3 2031 0132 2310 3012 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 -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 0.890370185976 0.663561197590 3 4 5 4 0132 0321 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457281985393 0.423376064054 ==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' : 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' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_2'])})} 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_4, c_0101_1, c_0101_2, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 4758510722197152804/8687645547043002827*c_1001_0^14 - 27893895224082269513/8687645547043002827*c_1001_0^13 - 32903865221825596451/8687645547043002827*c_1001_0^12 + 12216469200719422708/8687645547043002827*c_1001_0^11 + 121985465424535301938/8687645547043002827*c_1001_0^10 + 3822593996082185500/8687645547043002827*c_1001_0^9 - 81810592904412699189/8687645547043002827*c_1001_0^8 + 21006620806793418806/8687645547043002827*c_1001_0^7 + 325451046842675429789/8687645547043002827*c_1001_0^6 - 7506492613188946411/8687645547043002827*c_1001_0^5 - 210920439980581394475/8687645547043002827*c_1001_0^4 - 5002761291827902172/147248229610898353*c_1001_0^3 - 66949335856220495010/1241092221006143261*c_1001_0^2 + 359548557049756277659/8687645547043002827*c_1001_0 + 96546368695873218986/8687645547043002827, c_0011_0 - 1, c_0011_3 - 13326142752063645/354597777430326646*c_1001_0^14 + 74630873155540067/354597777430326646*c_1001_0^13 + 106187491301763299/354597777430326646*c_1001_0^12 + 10203983338570846/177298888715163323*c_1001_0^11 - 134339713445592141/177298888715163323*c_1001_0^10 - 58042193540224133/354597777430326646*c_1001_0^9 + 49486845135689407/177298888715163323*c_1001_0^8 - 44008262488744103/177298888715163323*c_1001_0^7 - 812843277568992715/354597777430326646*c_1001_0^6 - 212256400585379783/354597777430326646*c_1001_0^5 + 165442174696153653/354597777430326646*c_1001_0^4 + 8658529844217449/6010131820852994*c_1001_0^3 + 826254648415958049/177298888715163323*c_1001_0^2 - 523891326359323139/354597777430326646*c_1001_0 + 119983543826133295/354597777430326646, c_0011_4 - 8269732447310775/354597777430326646*c_1001_0^14 + 46735771786908965/354597777430326646*c_1001_0^13 + 63802391810446621/354597777430326646*c_1001_0^12 + 2677234062787156/177298888715163323*c_1001_0^11 - 78557820405677285/177298888715163323*c_1001_0^10 - 5389190686871019/354597777430326646*c_1001_0^9 + 50984737972398789/177298888715163323*c_1001_0^8 - 54484075321310962/177298888715163323*c_1001_0^7 - 534969864955615915/354597777430326646*c_1001_0^6 - 86099355949327015/354597777430326646*c_1001_0^5 + 188616254312047265/354597777430326646*c_1001_0^4 + 2580216490695187/6010131820852994*c_1001_0^3 + 360790955996972742/177298888715163323*c_1001_0^2 - 501845664690990147/354597777430326646*c_1001_0 + 304949698502931679/354597777430326646, c_0101_1 + 4339732607286442/177298888715163323*c_1001_0^14 - 21838172928380323/177298888715163323*c_1001_0^13 - 48389279741161788/177298888715163323*c_1001_0^12 - 27910434508335654/177298888715163323*c_1001_0^11 + 96008479807260727/177298888715163323*c_1001_0^10 + 63817564779679149/177298888715163323*c_1001_0^9 - 46501317473648607/177298888715163323*c_1001_0^8 - 41270627175040746/177298888715163323*c_1001_0^7 + 330008287435661705/177298888715163323*c_1001_0^6 + 222005706663545529/177298888715163323*c_1001_0^5 - 47182229256615890/177298888715163323*c_1001_0^4 - 5011712929198509/3005065910426497*c_1001_0^3 - 402974306315947199/177298888715163323*c_1001_0^2 - 48813760974377061/177298888715163323*c_1001_0 + 155523115013781728/177298888715163323, c_0101_2 + 379167259/1028603768758*c_1001_0^14 + 5900160389/1028603768758*c_1001_0^13 - 52378691147/1028603768758*c_1001_0^12 - 15860985925/514301884379*c_1001_0^11 - 4992379130/514301884379*c_1001_0^10 + 92244675171/1028603768758*c_1001_0^9 - 72529928789/514301884379*c_1001_0^8 - 44201442183/514301884379*c_1001_0^7 - 12078191441/1028603768758*c_1001_0^6 + 433245818381/1028603768758*c_1001_0^5 + 90525210219/1028603768758*c_1001_0^4 + 394838659167/1028603768758*c_1001_0^3 - 114699455433/514301884379*c_1001_0^2 - 503109629179/1028603768758*c_1001_0 + 1060825948491/1028603768758, c_0110_5 - 8269732447310775/354597777430326646*c_1001_0^14 + 46735771786908965/354597777430326646*c_1001_0^13 + 63802391810446621/354597777430326646*c_1001_0^12 + 2677234062787156/177298888715163323*c_1001_0^11 - 78557820405677285/177298888715163323*c_1001_0^10 - 5389190686871019/354597777430326646*c_1001_0^9 + 50984737972398789/177298888715163323*c_1001_0^8 - 54484075321310962/177298888715163323*c_1001_0^7 - 534969864955615915/354597777430326646*c_1001_0^6 - 86099355949327015/354597777430326646*c_1001_0^5 + 188616254312047265/354597777430326646*c_1001_0^4 + 2580216490695187/6010131820852994*c_1001_0^3 + 360790955996972742/177298888715163323*c_1001_0^2 - 501845664690990147/354597777430326646*c_1001_0 + 304949698502931679/354597777430326646, c_1001_0^15 - 6*c_1001_0^14 - 6*c_1001_0^13 + 3*c_1001_0^12 + 24*c_1001_0^11 - 3*c_1001_0^10 - 15*c_1001_0^9 + 8*c_1001_0^8 + 67*c_1001_0^7 - 10*c_1001_0^6 - 38*c_1001_0^5 - 50*c_1001_0^4 - 91*c_1001_0^3 + 81*c_1001_0^2 - 2*c_1001_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB