Magma V2.19-8 Tue Aug 20 2013 23:45:39 on localhost [Seed = 290944240] Type ? for help. Type -D to quit. Loading file "K13n4304__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4304 geometric_solution 9.75399082 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 -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 0.472248354052 0.617337759234 0 5 4 3 0132 0132 1230 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.047831602065 1.001380600675 6 0 6 4 0132 0132 2031 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.434018786714 1.455514955357 7 1 8 0 0132 1302 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 -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 0.785711219068 0.327883003731 2 6 0 1 3201 1230 0132 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 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 0 0 0 0 0 0 0.855680801250 0.589264076077 6 1 9 9 1023 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.417269765744 0.335548701068 2 5 4 2 0132 1023 3012 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.486301132212 1.501207882584 3 9 8 10 0132 3120 3012 0132 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379115321208 0.956734401452 10 7 11 3 0132 1230 0132 0132 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 -1 6 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686880743415 0.033937078908 5 7 11 5 3120 3120 1302 0132 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 -1 0 1 0 0 0 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.288748727082 0.742089454013 8 11 7 11 0132 1230 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.721363871776 1.265474787154 9 10 10 8 2031 1302 3012 0132 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 0 0 0 -5 0 0 5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660021444535 0.596417850889 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1001_8']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_1001_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : 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_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0110_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 52239375285629986235331217936027497497/4516655856801787633744489924\ 58670350*c_1001_8^13 - 349180700252629109376883074229167462453/4516\ 65585680178763374448992458670350*c_1001_8^12 - 1666947080184961858928718658000038191099/45166558568017876337444899\ 2458670350*c_1001_8^11 - 4915006652209507872264984581380699490371/4\ 51665585680178763374448992458670350*c_1001_8^10 - 41549812349230221485497300442037569469/1624696351367549508541183426\ 110325*c_1001_8^9 - 6005441443139968112541434545938599183739/225832\ 792840089381687224496229335175*c_1001_8^8 - 34652009178472469853306354931494356167689/4516655856801787633744489\ 92458670350*c_1001_8^7 + 18075918111219264040574729329765246761754/\ 225832792840089381687224496229335175*c_1001_8^6 - 52401923638729214768751541160031694305319/4516655856801787633744489\ 92458670350*c_1001_8^5 + 106995881229980054479366292811508277624147\ /451665585680178763374448992458670350*c_1001_8^4 - 24055966204467109941648234724718914074569/9033311713603575267488979\ 8491734070*c_1001_8^3 + 51336647480170533591860324860360678449409/4\ 51665585680178763374448992458670350*c_1001_8^2 - 18402052851646584288678956430568898948387/4516655856801787633744489\ 92458670350*c_1001_8 + 11484519851930282129310233492906481810727/45\ 1665585680178763374448992458670350, c_0011_0 - 1, c_0011_10 + 686685324339780619593/45527268613240809543211237*c_1001_8^1\ 3 + 39075517356971563327984/45527268613240809543211237*c_1001_8^12 + 266166886904752174597634/45527268613240809543211237*c_1001_8^11 + 1238465576173099012435325/45527268613240809543211237*c_1001_8^10 + 3703390902995572320469394/45527268613240809543211237*c_1001_8^9 + 8483099785537076832245660/45527268613240809543211237*c_1001_8^8 + 9681922383427706884564149/45527268613240809543211237*c_1001_8^7 + 21668402794513789948642951/45527268613240809543211237*c_1001_8^6 - 18307051108786736083732384/45527268613240809543211237*c_1001_8^5 + 11246203296048551703996562/45527268613240809543211237*c_1001_8^4 - 56118589684192187180369191/45527268613240809543211237*c_1001_8^3 + 42079030970908419095747628/45527268613240809543211237*c_1001_8^2 - 10676424303729776890330559/45527268613240809543211237*c_1001_8 + 14196108367438307541588561/45527268613240809543211237, c_0011_11 - 98205448335582416621623/45527268613240809543211237*c_1001_8\ ^13 - 676879463960661317171516/45527268613240809543211237*c_1001_8^\ 12 - 3274128605428135935066675/45527268613240809543211237*c_1001_8^\ 11 - 9915416511927690383450798/45527268613240809543211237*c_1001_8^\ 10 - 23709134105075251149316580/45527268613240809543211237*c_1001_8\ ^9 - 27149730677530119950998565/45527268613240809543211237*c_1001_8\ ^8 - 69346595235307914897794163/45527268613240809543211237*c_1001_8\ ^7 + 57348836859502585909470859/45527268613240809543211237*c_1001_8\ ^6 - 78051594769954602302734976/45527268613240809543211237*c_1001_8\ ^5 + 194225135006838929007674374/45527268613240809543211237*c_1001_\ 8^4 - 158924496455376414482837898/45527268613240809543211237*c_1001\ _8^3 + 56619009264182477819575178/45527268613240809543211237*c_1001\ _8^2 + 532866884104711941182427/45527268613240809543211237*c_1001_8 + 13284195996616082460880130/45527268613240809543211237, c_0011_3 - 202812497928001089585191/45527268613240809543211237*c_1001_8\ ^13 - 1331734440578201239998503/45527268613240809543211237*c_1001_8\ ^12 - 6241565204546789112654973/45527268613240809543211237*c_1001_8\ ^11 - 17815649622345993686518912/45527268613240809543211237*c_1001_\ 8^10 - 40113658108617203835492473/45527268613240809543211237*c_1001\ _8^9 - 33490932094039899422198185/45527268613240809543211237*c_1001\ _8^8 - 109288441696238543693658594/45527268613240809543211237*c_100\ 1_8^7 + 184055007931467722207680289/45527268613240809543211237*c_10\ 01_8^6 - 153466753454621307365407740/45527268613240809543211237*c_1\ 001_8^5 + 437575624154811948564619023/45527268613240809543211237*c_\ 1001_8^4 - 433101574630549187893363886/45527268613240809543211237*c\ _1001_8^3 + 169498845209293227911425131/45527268613240809543211237*\ c_1001_8^2 + 21061359272125371888376850/45527268613240809543211237*\ c_1001_8 + 25470450412835619882470429/45527268613240809543211237, c_0011_4 - 79504128758906719135736/45527268613240809543211237*c_1001_8^\ 13 - 609933509655018491541557/45527268613240809543211237*c_1001_8^1\ 2 - 3082107902214658628758924/45527268613240809543211237*c_1001_8^1\ 1 - 10140275401159422033745187/45527268613240809543211237*c_1001_8^\ 10 - 25760497321484245071634756/45527268613240809543211237*c_1001_8\ ^9 - 38238056480188128603109298/45527268613240809543211237*c_1001_8\ ^8 - 77318636829365938875001749/45527268613240809543211237*c_1001_8\ ^7 - 5970384832767750247311339/45527268613240809543211237*c_1001_8^\ 6 - 42102407914983977986719974/45527268613240809543211237*c_1001_8^\ 5 + 93906198282632753211492369/45527268613240809543211237*c_1001_8^\ 4 - 27157046973045827714705887/45527268613240809543211237*c_1001_8^\ 3 - 44826987609105518626723027/45527268613240809543211237*c_1001_8^\ 2 + 18829569634441314854410547/45527268613240809543211237*c_1001_8 - 23346992817966679889584907/45527268613240809543211237, c_0011_9 + 76623512193926637177142/45527268613240809543211237*c_1001_8^\ 13 + 512041394146407550804833/45527268613240809543211237*c_1001_8^1\ 2 + 2412974475274643614544781/45527268613240809543211237*c_1001_8^1\ 1 + 6975188019042893779971102/45527268613240809543211237*c_1001_8^1\ 0 + 15812131683961263662654613/45527268613240809543211237*c_1001_8^\ 9 + 14099232665338452863554069/45527268613240809543211237*c_1001_8^\ 8 + 42380480847858885029196838/45527268613240809543211237*c_1001_8^\ 7 - 64083272458528992924606375/45527268613240809543211237*c_1001_8^\ 6 + 52178055627318695790794490/45527268613240809543211237*c_1001_8^\ 5 - 155388176893425738565015656/45527268613240809543211237*c_1001_8\ ^4 + 155472637744171964264594642/45527268613240809543211237*c_1001_\ 8^3 - 56258309794439009192121380/45527268613240809543211237*c_1001_\ 8^2 - 33162371308369965074402751/45527268613240809543211237*c_1001_\ 8 - 10954546666150800160898531/45527268613240809543211237, c_0101_0 + 78803382350452492526365/45527268613240809543211237*c_1001_8^\ 13 + 521509912114321817210998/45527268613240809543211237*c_1001_8^1\ 2 + 2451200847666641554329723/45527268613240809543211237*c_1001_8^1\ 1 + 7044339471118045894848842/45527268613240809543211237*c_1001_8^1\ 0 + 15887943334399422996616454/45527268613240809543211237*c_1001_8^\ 9 + 13513482597233830712624660/45527268613240809543211237*c_1001_8^\ 8 + 41944003927785633887332057/45527268613240809543211237*c_1001_8^\ 7 - 72084531495519809363123917/45527268613240809543211237*c_1001_8^\ 6 + 50821585751361147151183792/45527268613240809543211237*c_1001_8^\ 5 - 165745808421605366352388276/45527268613240809543211237*c_1001_8\ ^4 + 140447385649438226468190798/45527268613240809543211237*c_1001_\ 8^3 - 58857869370756868116078082/45527268613240809543211237*c_1001_\ 8^2 - 48359699386657669223736379/45527268613240809543211237*c_1001_\ 8 - 2939599578316483435925592/45527268613240809543211237, c_0101_1 + 15874275052179241473063/45527268613240809543211237*c_1001_8^\ 13 + 148098723968632607778083/45527268613240809543211237*c_1001_8^1\ 2 + 798914989174015484869638/45527268613240809543211237*c_1001_8^11 + 2894555392296749104570797/45527268613240809543211237*c_1001_8^10 + 7674067987165579265088319/45527268613240809543211237*c_1001_8^9 + 13154246728427511462103333/45527268613240809543211237*c_1001_8^8 + 19558071323325914629095992/45527268613240809543211237*c_1001_8^7 + 10724508573503405729767104/45527268613240809543211237*c_1001_8^6 - 21147149097783057084918378/45527268613240809543211237*c_1001_8^5 - 24741465828946524960820073/45527268613240809543211237*c_1001_8^4 - 55545753894162373521850006/45527268613240809543211237*c_1001_8^3 + 51249495287316761454386723/45527268613240809543211237*c_1001_8^2 + 30857765120757693923620044/45527268613240809543211237*c_1001_8 - 15492259551368183675999733/45527268613240809543211237, c_0101_10 + 43737750594192126681101/45527268613240809543211237*c_1001_8\ ^13 + 308010695291511163008353/45527268613240809543211237*c_1001_8^\ 12 + 1514562661463336049114666/45527268613240809543211237*c_1001_8^\ 11 + 4700349222022618069682095/45527268613240809543211237*c_1001_8^\ 10 + 11522615998907938420537454/45527268613240809543211237*c_1001_8\ ^9 + 14509735194301195959376103/45527268613240809543211237*c_1001_8\ ^8 + 34777576301367447896179976/45527268613240809543211237*c_1001_8\ ^7 - 18338093597939162645981724/45527268613240809543211237*c_1001_8\ ^6 + 42346673805644220729380405/45527268613240809543211237*c_1001_8\ ^5 - 81864057402787694017850641/45527268613240809543211237*c_1001_8\ ^4 + 93605269541401871760580623/45527268613240809543211237*c_1001_8\ ^3 - 39827264407052508871387944/45527268613240809543211237*c_1001_8\ ^2 + 10401274891595740475392352/45527268613240809543211237*c_1001_8 - 14166706212180287712298454/45527268613240809543211237, c_0101_2 + 61441252758566851308837/45527268613240809543211237*c_1001_8^\ 13 + 447503309771278067916043/45527268613240809543211237*c_1001_8^1\ 2 + 2291842314562295505771478/45527268613240809543211237*c_1001_8^1\ 1 + 7555597355924217199792503/45527268613240809543211237*c_1001_8^1\ 0 + 19981998320496901198330827/45527268613240809543211237*c_1001_8^\ 9 + 31381618372252844101436665/45527268613240809543211237*c_1001_8^\ 8 + 71611177769912671892532815/45527268613240809543211237*c_1001_8^\ 7 + 10833764491151399937939649/45527268613240809543211237*c_1001_8^\ 6 + 105988562942926428097555199/45527268613240809543211237*c_1001_8\ ^5 - 116380487132249812497997518/45527268613240809543211237*c_1001_\ 8^4 + 136255979496483222991944301/45527268613240809543211237*c_1001\ _8^3 - 101654771895829596129964947/45527268613240809543211237*c_100\ 1_8^2 + 61776701888106465118242400/45527268613240809543211237*c_100\ 1_8 - 12564836110473349147010025/45527268613240809543211237, c_0110_4 + 195549175981693966398008/45527268613240809543211237*c_1001_8\ ^13 + 1363128728989262245800223/45527268613240809543211237*c_1001_8\ ^12 + 6590183727932921320303185/45527268613240809543211237*c_1001_8\ ^11 + 20055322742790906181523728/45527268613240809543211237*c_1001_\ 8^10 + 48053407269442666840019106/45527268613240809543211237*c_1001\ _8^9 + 56823791757048223799310306/45527268613240809543211237*c_1001\ _8^8 + 143672136893954155726395908/45527268613240809543211237*c_100\ 1_8^7 - 86691763403033425969794589/45527268613240809543211237*c_100\ 1_8^6 + 170837858030343629112925555/45527268613240809543211237*c_10\ 01_8^5 - 283821027488964947221982593/45527268613240809543211237*c_1\ 001_8^4 + 359166250562847673471845676/45527268613240809543211237*c_\ 1001_8^3 + 3107920674669781172579710/45527268613240809543211237*c_1\ 001_8^2 - 29530987246844464380283486/45527268613240809543211237*c_1\ 001_8 - 17868400510624360603434502/45527268613240809543211237, c_1001_8^14 + 7*c_1001_8^13 + 34*c_1001_8^12 + 104*c_1001_8^11 + 250*c_1001_8^10 + 297*c_1001_8^9 + 729*c_1001_8^8 - 493*c_1001_8^7 + 765*c_1001_8^6 - 1735*c_1001_8^5 + 1652*c_1001_8^4 - 242*c_1001_8^3 + 45*c_1001_8^2 - 148*c_1001_8 - 53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.580 Total time: 4.790 seconds, Total memory usage: 64.12MB