Magma V2.19-8 Tue Aug 20 2013 23:29:47 on localhost [Seed = 1663370547] Type ? for help. Type -D to quit. Loading file "K14n12557__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12557 geometric_solution 7.29661154 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 9 1 2 2 3 0132 0132 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 1 -20 0 20 0 0 0 0 0 19 -20 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082919899768 1.203812981758 0 3 4 3 0132 2310 0132 3120 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 20 0 -1 -19 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206612301459 0.561246339559 0 0 6 5 2310 0132 0132 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 0 0 0 -1 0 0 1 -20 20 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771627358761 1.907814238281 1 5 0 1 3120 2031 0132 3201 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 1 -1 0 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357842979377 0.428159910704 7 7 8 1 0132 2310 0132 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 -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 0.643574318689 0.470907573382 3 8 2 6 1302 3012 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 -1 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 0.261465125353 0.297437788878 8 5 7 2 1230 2310 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494925257232 1.639562085808 4 6 8 4 0132 1230 3120 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 0.376585183010 0.597139145511 5 6 7 4 1230 3012 3120 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 -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 1.443257448621 0.231469621045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_6']), 's_2_8' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], '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_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_8' : d['c_0011_4'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_8, c_0101_1, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 13130881143987232584607/18246981454645901446*c_0110_5^8 - 39494971491942469688729/18246981454645901446*c_0110_5^7 + 613743322561374413026692/9123490727322950723*c_0110_5^6 - 2889047906179593874617145/9123490727322950723*c_0110_5^5 + 12481970404872496770221463/18246981454645901446*c_0110_5^4 - 15042094288803688125310709/18246981454645901446*c_0110_5^3 + 10642573443205718052798337/18246981454645901446*c_0110_5^2 - 4234483812796153949549389/18246981454645901446*c_0110_5 + 376668131465055538211104/9123490727322950723, c_0011_0 - 1, c_0011_3 + 326065773884400/522746274412591*c_0110_5^8 - 1059130100074293/522746274412591*c_0110_5^7 + 30669692999701134/522746274412591*c_0110_5^6 - 150699845241189441/522746274412591*c_0110_5^5 + 340123153762160403/522746274412591*c_0110_5^4 - 22644969505233616/27512961811189*c_0110_5^3 + 321064317968547467/522746274412591*c_0110_5^2 - 136280686264497757/522746274412591*c_0110_5 + 26597496745437597/522746274412591, c_0011_4 + 30680894209339/27512961811189*c_0110_5^8 - 94693171340646/27512961811189*c_0110_5^7 + 2872585470914371/27512961811189*c_0110_5^6 - 13721294608132382/27512961811189*c_0110_5^5 + 29974875993152305/27512961811189*c_0110_5^4 - 36536464439396528/27512961811189*c_0110_5^3 + 26097375957395974/27512961811189*c_0110_5^2 - 10462987332321033/27512961811189*c_0110_5 + 1857861232237331/27512961811189, c_0011_5 + 263585149196831/522746274412591*c_0110_5^8 - 780990472412857/522746274412591*c_0110_5^7 + 24565867111468090/522746274412591*c_0110_5^6 - 114820505773220163/522746274412591*c_0110_5^5 + 241858697383428632/522746274412591*c_0110_5^4 - 14664411357577703/27512961811189*c_0110_5^3 + 183514995905237113/522746274412591*c_0110_5^2 - 66085861121326565/522746274412591*c_0110_5 + 10157143931488644/522746274412591, c_0011_6 - 166594108376025/522746274412591*c_0110_5^8 + 499356501788826/522746274412591*c_0110_5^7 - 15606813449940250/522746274412591*c_0110_5^6 + 73198603198282649/522746274412591*c_0110_5^5 - 161092402366802012/522746274412591*c_0110_5^4 + 10545234337653937/27512961811189*c_0110_5^3 - 148040990934873393/522746274412591*c_0110_5^2 + 62060814570651143/522746274412591*c_0110_5 - 11676467209330517/522746274412591, c_0011_8 + 355239213537472/522746274412591*c_0110_5^8 - 964142713239159/522746274412591*c_0110_5^7 + 32929748735373921/522746274412591*c_0110_5^6 - 146666294843071035/522746274412591*c_0110_5^5 + 295078531607737647/522746274412591*c_0110_5^4 - 16993604029454342/27512961811189*c_0110_5^3 + 200344482286526313/522746274412591*c_0110_5^2 - 66781140806327747/522746274412591*c_0110_5 + 9003476996988197/522746274412591, c_0101_1 - 569794021348167/522746274412591*c_0110_5^8 + 1802819622020833/522746274412591*c_0110_5^7 - 53442948175522087/522746274412591*c_0110_5^6 + 258849869799637907/522746274412591*c_0110_5^5 - 572587149243695455/522746274412591*c_0110_5^4 + 37062738344273091/27512961811189*c_0110_5^3 - 504944234305337901/522746274412591*c_0110_5^2 + 202226332314208017/522746274412591*c_0110_5 - 35913695350152444/522746274412591, c_0101_6 - 527853847675121/522746274412591*c_0110_5^8 + 1520266944976067/522746274412591*c_0110_5^7 - 49128804056985767/522746274412591*c_0110_5^6 + 226022264640855178/522746274412591*c_0110_5^5 - 471044777629294378/522746274412591*c_0110_5^4 + 28567065292157458/27512961811189*c_0110_5^3 - 364273718205385992/522746274412591*c_0110_5^2 + 137048693225653380/522746274412591*c_0110_5 - 22787428321039531/522746274412591, c_0110_5^9 - 43/11*c_0110_5^8 + 1058/11*c_0110_5^7 - 5767/11*c_0110_5^6 + 14809/11*c_0110_5^5 - 21987/11*c_0110_5^4 + 1837*c_0110_5^3 - 11524/11*c_0110_5^2 + 3800/11*c_0110_5 - 563/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB