Magma V2.19-8 Wed Aug 21 2013 01:05:19 on localhost [Seed = 2446821639] Type ? for help. Type -D to quit. Loading file "L14n25701__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25701 geometric_solution 11.98733873 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 0 1 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 0.464098455082 0.805214216967 0 5 4 6 0132 0132 0132 0132 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 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 0.475102368387 1.005895319997 7 0 8 4 0132 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.494161825999 1.050222842445 9 10 6 0 0132 0132 0132 0132 1 0 1 1 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 -1 0 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442117242523 0.562530295005 10 2 0 1 2103 1302 0132 0132 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 0 0 0 0 1 -1 0 1 0 -1 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 -0.539754685564 0.741641827903 11 1 7 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333465548570 0.292661290750 9 11 1 3 2103 0213 0132 0132 1 0 1 1 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.794926063870 1.241022300208 2 11 8 5 0132 0132 3012 0132 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 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 1.003282686824 1.438809967675 9 7 5 2 1023 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0.845891092521 1.341605105060 3 8 6 12 0132 1023 2103 0132 1 0 1 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 0 0 0 0 -1 3 -2 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 0.955657965555 0.927204596156 12 3 4 12 0132 0132 2103 2103 1 0 1 1 0 0 0 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 0 0 0 0 2 0 -1 -1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532272515315 0.850799390945 5 7 6 12 0132 0132 0213 2031 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 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 0.294157101801 1.029580470671 10 11 9 10 0132 1302 0132 2103 1 0 1 1 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 0 2 -2 -2 0 1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532272515315 0.850799390945 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_1001_3']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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_9' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_7'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_2'], '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_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 291505466070089024155307808916/809572513267479803576625*c_1100_0^11 - 2135553694229481483766017487988/809572513267479803576625*c_1100_0\ ^10 - 843128274460019530493080792126/89952501474164422619625*c_1100\ _0^9 - 505574515524341820129846483764/24532500402044842532625*c_110\ 0_0^8 - 25264536661282111175481955074679/809572513267479803576625*c\ _1100_0^7 - 28044493144434251030453369587349/8095725132674798035766\ 25*c_1100_0^6 - 7613320735318925700813356203343/2698575044224932678\ 58875*c_1100_0^5 - 93515629544562477163462866411/599683343161096150\ 7975*c_1100_0^4 - 228075990996492358481277187663/476219125451458707\ 98625*c_1100_0^3 - 121418809561123056385726998508/80957251326747980\ 3576625*c_1100_0^2 + 358150725310624830504814765207/809572513267479\ 803576625*c_1100_0 + 109405913932814157432471579883/809572513267479\ 803576625, c_0011_0 - 1, c_0011_10 + 3537482440074707324698/375844319884922293441*c_1100_0^11 + 23083224878539394907610/375844319884922293441*c_1100_0^10 + 73029922380492954331175/375844319884922293441*c_1100_0^9 + 140064805606768653967672/375844319884922293441*c_1100_0^8 + 181485881692995847122581/375844319884922293441*c_1100_0^7 + 168971116289410806407159/375844319884922293441*c_1100_0^6 + 106520817856409947840403/375844319884922293441*c_1100_0^5 + 33492713672135640423952/375844319884922293441*c_1100_0^4 - 2735993905403722674908/375844319884922293441*c_1100_0^3 - 4498835564864094911648/375844319884922293441*c_1100_0^2 - 485874505877100892430/375844319884922293441*c_1100_0 + 529747825946238878889/375844319884922293441, c_0011_4 - 7000484279441557614062/375844319884922293441*c_1100_0^11 - 42648730576730305256335/375844319884922293441*c_1100_0^10 - 127868539974267070343555/375844319884922293441*c_1100_0^9 - 232381046994246571399635/375844319884922293441*c_1100_0^8 - 288676836446070277225965/375844319884922293441*c_1100_0^7 - 261057056429875970146415/375844319884922293441*c_1100_0^6 - 158100450912127469771218/375844319884922293441*c_1100_0^5 - 49348926090698448507477/375844319884922293441*c_1100_0^4 - 619308426400282916625/375844319884922293441*c_1100_0^3 + 3325482164768624400530/375844319884922293441*c_1100_0^2 + 247548005687369449534/375844319884922293441*c_1100_0 - 658872402297771836383/375844319884922293441, c_0011_6 - 4817744116255924398493/375844319884922293441*c_1100_0^11 - 28971268014521196140843/375844319884922293441*c_1100_0^10 - 85122071332049491944072/375844319884922293441*c_1100_0^9 - 150022481837932929853780/375844319884922293441*c_1100_0^8 - 178226449075565937372905/375844319884922293441*c_1100_0^7 - 151697913570120276269279/375844319884922293441*c_1100_0^6 - 81046879482519963711031/375844319884922293441*c_1100_0^5 - 14186135753702658126634/375844319884922293441*c_1100_0^4 + 7654234529276507832128/375844319884922293441*c_1100_0^3 + 3218669251744437947798/375844319884922293441*c_1100_0^2 - 207847204152134627243/375844319884922293441*c_1100_0 - 443309295720988714748/375844319884922293441, c_0101_0 - 1, c_0101_1 + 11670743274880693849/1282745119061168237*c_1100_0^11 + 74324309194873041993/1282745119061168237*c_1100_0^10 + 232252981680276787520/1282745119061168237*c_1100_0^9 + 443113684365050556106/1282745119061168237*c_1100_0^8 + 579224896667360184009/1282745119061168237*c_1100_0^7 + 552706004306953608578/1282745119061168237*c_1100_0^6 + 365784471880700767454/1282745119061168237*c_1100_0^5 + 140223613740915925102/1282745119061168237*c_1100_0^4 + 16751918585567157052/1282745119061168237*c_1100_0^3 - 6070081300736143428/1282745119061168237*c_1100_0^2 - 916361574000511650/1282745119061168237*c_1100_0 + 1108613722377947765/1282745119061168237, c_0101_12 + 8780851570861268666/1282745119061168237*c_1100_0^11 + 59900292721983810569/1282745119061168237*c_1100_0^10 + 195965855802950147878/1282745119061168237*c_1100_0^9 + 389399188297905964016/1282745119061168237*c_1100_0^8 + 522566124085941062140/1282745119061168237*c_1100_0^7 + 507038419882695326455/1282745119061168237*c_1100_0^6 + 344059894351279127785/1282745119061168237*c_1100_0^5 + 132254096774934103220/1282745119061168237*c_1100_0^4 + 11144088442765584471/1282745119061168237*c_1100_0^3 - 7538655568291728699/1282745119061168237*c_1100_0^2 - 989577802797951525/1282745119061168237*c_1100_0 + 757700346628823554/1282745119061168237, c_0101_2 + 1925973266991103416169/375844319884922293441*c_1100_0^11 + 12240643944699576884825/375844319884922293441*c_1100_0^10 + 37177758910705536789459/375844319884922293441*c_1100_0^9 + 67235121618381653247304/375844319884922293441*c_1100_0^8 + 80247293867473641471076/375844319884922293441*c_1100_0^7 + 67402746065270115167616/375844319884922293441*c_1100_0^6 + 35338064578001412060775/375844319884922293441*c_1100_0^5 + 4138466476612008932898/375844319884922293441*c_1100_0^4 - 5076501600572584512400/375844319884922293441*c_1100_0^3 - 1344817102932501287019/375844319884922293441*c_1100_0^2 + 231560616336359058481/375844319884922293441*c_1100_0 + 187207513889864827706/375844319884922293441, c_0101_7 + 6250310099395829191823/375844319884922293441*c_1100_0^11 + 38298020888721763802177/375844319884922293441*c_1100_0^10 + 115450510938737849574883/375844319884922293441*c_1100_0^9 + 211112802925527480168530/375844319884922293441*c_1100_0^8 + 263674238382451220859854/375844319884922293441*c_1100_0^7 + 239152130086326912791995/375844319884922293441*c_1100_0^6 + 144952161766403475195442/375844319884922293441*c_1100_0^5 + 44609621163140552447962/375844319884922293441*c_1100_0^4 - 856474528556979490789/375844319884922293441*c_1100_0^3 - 4158854997644839456080/375844319884922293441*c_1100_0^2 - 116826945085959519704/375844319884922293441*c_1100_0 + 583032870734686823767/375844319884922293441, c_1001_1 + 2653522285220449967934/375844319884922293441*c_1100_0^11 + 16092610082700987692272/375844319884922293441*c_1100_0^10 + 48052677770408624604716/375844319884922293441*c_1100_0^9 + 86898682075403965839974/375844319884922293441*c_1100_0^8 + 107274154600352248560594/375844319884922293441*c_1100_0^7 + 96073006597531257323205/375844319884922293441*c_1100_0^6 + 56790777350450328621562/375844319884922293441*c_1100_0^5 + 16361397949619888590771/375844319884922293441*c_1100_0^4 - 1038556231306083342893/375844319884922293441*c_1100_0^3 - 1479051293791124678851/375844319884922293441*c_1100_0^2 - 260610408608596757489/375844319884922293441*c_1100_0 + 223487260910143399913/375844319884922293441, c_1001_11 + 9238692770819816974710/375844319884922293441*c_1100_0^11 + 57297742590196244921178/375844319884922293441*c_1100_0^10 + 174077984028011394928216/375844319884922293441*c_1100_0^9 + 320900662158198395442865/375844319884922293441*c_1100_0^8 + 403311001560050651496022/375844319884922293441*c_1100_0^7 + 368213310133455482881087/375844319884922293441*c_1100_0^6 + 225177853685556826555000/375844319884922293441*c_1100_0^5 + 69439674850447344140596/375844319884922293441*c_1100_0^4 - 1954454343613801895155/375844319884922293441*c_1100_0^3 - 7358300526973842208220/375844319884922293441*c_1100_0^2 - 599217578309464390881/375844319884922293441*c_1100_0 + 1052385757982544837161/375844319884922293441, c_1001_3 + 3059071599406018938060/375844319884922293441*c_1100_0^11 + 20026744895701774535730/375844319884922293441*c_1100_0^10 + 63681972564661196526982/375844319884922293441*c_1100_0^9 + 123191531742239962294759/375844319884922293441*c_1100_0^8 + 161847225525029272124579/375844319884922293441*c_1100_0^7 + 153988482500370680893250/375844319884922293441*c_1100_0^6 + 100955530968153477075647/375844319884922293441*c_1100_0^5 + 36056411380396152813804/375844319884922293441*c_1100_0^4 + 1025766779247879599917/375844319884922293441*c_1100_0^3 - 3319467263122220563952/375844319884922293441*c_1100_0^2 - 625372550365570512289/375844319884922293441*c_1100_0 + 472268798961872058899/375844319884922293441, c_1100_0^12 + 634/89*c_1100_0^11 + 2187/89*c_1100_0^10 + 4641/89*c_1100_0^9 + 6740/89*c_1100_0^8 + 7129/89*c_1100_0^7 + 5439/89*c_1100_0^6 + 2673/89*c_1100_0^5 + 604/89*c_1100_0^4 - 76/89*c_1100_0^3 - 62/89*c_1100_0^2 + 4/89*c_1100_0 + 9/89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.950 Total time: 1.169 seconds, Total memory usage: 32.09MB