Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 1730607937] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s123 geometric_solution 4.09609376 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 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 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 1.703139180096 1.227377902877 0 3 2 2 0132 0132 0132 1302 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186168324530 0.769717229164 3 0 1 1 3201 0132 2031 0132 0 0 0 0 0 0 0 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 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 0.186168324530 0.769717229164 4 1 4 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435598249457 1.411111042685 3 3 5 5 0132 3201 3201 0132 0 0 0 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 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 0.313752945663 0.151167404000 4 5 4 5 2310 2310 0132 3201 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 1 0 -1 0 0 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 -1.651980037561 0.377215417515 ==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' : negation(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' : 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' : d['c_0101_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(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' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 537896767542422421/197468056539675344*c_0101_3^12 + 589251810712835719/98734028269837672*c_0101_3^11 + 4113390139297972931/197468056539675344*c_0101_3^10 - 5773206810790546019/197468056539675344*c_0101_3^9 - 4538893261506773389/98734028269837672*c_0101_3^8 + 5209382990174729553/197468056539675344*c_0101_3^7 + 17967589765627033691/197468056539675344*c_0101_3^6 - 604879922184832035/49367014134918836*c_0101_3^5 - 7322281788354264813/98734028269837672*c_0101_3^4 - 190687386207771359/49367014134918836*c_0101_3^3 + 3723620322696032125/197468056539675344*c_0101_3^2 + 163380265135394543/24683507067459418*c_0101_3 - 2693369165141836775/197468056539675344, c_0011_0 - 1, c_0011_5 - 10426134312418272/12341753533729709*c_0101_3^12 - 11839920654898172/12341753533729709*c_0101_3^11 + 44594926554256597/12341753533729709*c_0101_3^10 + 40815114631586889/12341753533729709*c_0101_3^9 - 56893029507093792/12341753533729709*c_0101_3^8 - 98463919741246520/12341753533729709*c_0101_3^7 + 33469537505502893/12341753533729709*c_0101_3^6 + 83671759726482206/12341753533729709*c_0101_3^5 + 2081361519446128/12341753533729709*c_0101_3^4 - 21576565182995173/12341753533729709*c_0101_3^3 - 4129830030697599/12341753533729709*c_0101_3^2 + 16130611225251690/12341753533729709*c_0101_3 + 5089384191803621/12341753533729709, c_0101_0 + 14034732871459524/12341753533729709*c_0101_3^12 + 25150814759531357/12341753533729709*c_0101_3^11 - 50966564350418466/12341753533729709*c_0101_3^10 - 93590870867880028/12341753533729709*c_0101_3^9 + 46712301714715168/12341753533729709*c_0101_3^8 + 174968913843394162/12341753533729709*c_0101_3^7 + 34591319930188608/12341753533729709*c_0101_3^6 - 127655749940587286/12341753533729709*c_0101_3^5 - 53772730217527440/12341753533729709*c_0101_3^4 + 596907582351239/12341753533729709*c_0101_3^3 - 10336752365796982/12341753533729709*c_0101_3^2 - 15407342053961765/12341753533729709*c_0101_3 - 4448216484033542/12341753533729709, c_0101_1 + 19037469522555981/12341753533729709*c_0101_3^12 + 20396435390767602/12341753533729709*c_0101_3^11 - 87083252577381335/12341753533729709*c_0101_3^10 - 75975713755264616/12341753533729709*c_0101_3^9 + 122404269728255379/12341753533729709*c_0101_3^8 + 196033351292578527/12341753533729709*c_0101_3^7 - 79426450218690539/12341753533729709*c_0101_3^6 - 194980096765168879/12341753533729709*c_0101_3^5 - 1543580041149328/12341753533729709*c_0101_3^4 + 63726500925817876/12341753533729709*c_0101_3^3 + 2900181346005374/12341753533729709*c_0101_3^2 - 28049923206598330/12341753533729709*c_0101_3 + 719326373658753/12341753533729709, c_0101_2 + 3812774524656447/12341753533729709*c_0101_3^12 - 1841864476631582/12341753533729709*c_0101_3^11 - 23478847974651414/12341753533729709*c_0101_3^10 + 10602298692081243/12341753533729709*c_0101_3^9 + 44684195200342181/12341753533729709*c_0101_3^8 + 4399121038451132/12341753533729709*c_0101_3^7 - 67970593213488262/12341753533729709*c_0101_3^6 - 8180958823731008/12341753533729709*c_0101_3^5 + 41184122611275475/12341753533729709*c_0101_3^4 - 2695038737041861/12341753533729709*c_0101_3^3 - 12682126733571192/12341753533729709*c_0101_3^2 + 6992615915456246/12341753533729709*c_0101_3 + 10174148256016071/12341753533729709, c_0101_3^13 + 34/21*c_0101_3^12 - 83/21*c_0101_3^11 - 19/3*c_0101_3^10 + 30/7*c_0101_3^9 + 93/7*c_0101_3^8 + c_0101_3^7 - 12*c_0101_3^6 - 94/21*c_0101_3^5 + 68/21*c_0101_3^4 + 9/7*c_0101_3^3 - 40/21*c_0101_3^2 - 17/21*c_0101_3 + 8/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB