Magma V2.19-8 Tue Aug 20 2013 23:40:12 on localhost [Seed = 762005907] Type ? for help. Type -D to quit. Loading file "K9a14__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a14 geometric_solution 9.47458045 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 0321 0132 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 0 -1 4 0 -1 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.190942005114 0.777318426602 0 4 4 5 0132 0132 1302 0132 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 -4 0 4 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 0.970711043056 1.170314106392 6 0 0 7 0132 0132 0321 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 -1 0 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 1.190942005114 0.777318426602 6 8 0 8 1302 0132 0132 0213 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 1 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021371110979 0.853936611541 1 1 9 10 2031 0132 0132 0132 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 -1 1 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580126852573 0.506209825101 6 9 1 8 3201 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.619528271622 0.454769726853 2 3 9 5 0132 2031 1302 2310 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 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 0.992448131781 0.562904341504 9 10 2 10 2103 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 -1 1 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 -0.298028930057 1.213265665959 5 3 10 3 3012 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.021371110979 0.853936611541 6 5 7 4 2031 0132 2103 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 -1 1 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992448131781 0.562904341504 7 7 4 8 1230 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 -1 0 1 1 0 -1 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 0.411172967172 0.384322746811 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_10' : negation(d['c_0110_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0110_7']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_7'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0110_7']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : 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_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_10' : d['c_0011_7'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_1100_8' : negation(d['c_0110_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_4, c_0110_7, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3680067/96752576*c_1001_4^6 - 1067757/48376288*c_1001_4^5 + 1355083/24188144*c_1001_4^4 - 22659107/96752576*c_1001_4^3 + 18161597/48376288*c_1001_4^2 - 145757/48376288*c_1001_4 + 13997101/96752576, c_0011_0 - 1, c_0011_10 - 217/5231*c_1001_4^6 + 404/5231*c_1001_4^5 - 192/5231*c_1001_4^4 + 2213/5231*c_1001_4^3 - 4284/5231*c_1001_4^2 + 761/5231*c_1001_4 - 1407/5231, c_0011_3 - c_1001_4, c_0011_5 + 129/5231*c_1001_4^6 + 25/5231*c_1001_4^5 + 765/5231*c_1001_4^4 - 1870/5231*c_1001_4^3 + 1703/5231*c_1001_4^2 - 4912/5231*c_1001_4 + 4380/5231, c_0011_7 - 73/5231*c_1001_4^6 - 298/5231*c_1001_4^5 + 297/5231*c_1001_4^4 - 726/5231*c_1001_4^3 + 415/5231*c_1001_4^2 - 3384/5231*c_1001_4 - 1992/5231, c_0101_0 + 73/5231*c_1001_4^6 + 298/5231*c_1001_4^5 - 297/5231*c_1001_4^4 + 726/5231*c_1001_4^3 - 415/5231*c_1001_4^2 + 3384/5231*c_1001_4 + 1992/5231, c_0101_10 + 25/5231*c_1001_4^6 + 532/5231*c_1001_4^5 - 460/5231*c_1001_4^4 - 38/5231*c_1001_4^3 - 3725/5231*c_1001_4^2 + 3022/5231*c_1001_4 + 2187/5231, c_0101_4 - 242/5231*c_1001_4^6 - 128/5231*c_1001_4^5 + 268/5231*c_1001_4^4 + 2251/5231*c_1001_4^3 - 559/5231*c_1001_4^2 - 7492/5231*c_1001_4 - 3594/5231, c_0110_7 + 1, c_1001_2 - 25/5231*c_1001_4^6 - 532/5231*c_1001_4^5 + 460/5231*c_1001_4^4 + 38/5231*c_1001_4^3 + 3725/5231*c_1001_4^2 - 3022/5231*c_1001_4 - 2187/5231, c_1001_4^7 + c_1001_4^6 + 2*c_1001_4^5 - 5*c_1001_4^4 - c_1001_4^3 + 4*c_1001_4^2 + 13*c_1001_4 + 17 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_4, c_0110_7, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5637558815405810/12744780024190517*c_1001_4^11 - 26436897124400025/12744780024190517*c_1001_4^10 - 108925561692128063/12744780024190517*c_1001_4^9 - 306988397103770777/12744780024190517*c_1001_4^8 - 837726604746600998/12744780024190517*c_1001_4^7 - 881510329631614422/12744780024190517*c_1001_4^6 - 2212484800241468336/12744780024190517*c_1001_4^5 - 997337490222578051/12744780024190517*c_1001_4^4 - 1486952161032045527/12744780024190517*c_1001_4^3 - 876508803684894966/12744780024190517*c_1001_4^2 + 640176608367617052/12744780024190517*c_1001_4 - 520348310882679358/12744780024190517, c_0011_0 - 1, c_0011_10 - 23203305235966/554120870616979*c_1001_4^11 - 80572718815785/554120870616979*c_1001_4^10 - 339352380301171/554120870616979*c_1001_4^9 - 807475687531219/554120870616979*c_1001_4^8 - 2291544812461826/554120870616979*c_1001_4^7 - 401949826088088/554120870616979*c_1001_4^6 - 7427964619032691/554120870616979*c_1001_4^5 + 5452457972306107/554120870616979*c_1001_4^4 - 9672989767548751/554120870616979*c_1001_4^3 + 6748455409030650/554120870616979*c_1001_4^2 - 3364836797412925/554120870616979*c_1001_4 + 309713620434747/554120870616979, c_0011_3 + 13181042961778/554120870616979*c_1001_4^11 + 54790418253657/554120870616979*c_1001_4^10 + 212690298280647/554120870616979*c_1001_4^9 + 545299238114235/554120870616979*c_1001_4^8 + 1445022412826724/554120870616979*c_1001_4^7 + 701514546435536/554120870616979*c_1001_4^6 + 3280688412128391/554120870616979*c_1001_4^5 - 423553445668327/554120870616979*c_1001_4^4 + 1012375522000775/554120870616979*c_1001_4^3 + 665695777266184/554120870616979*c_1001_4^2 - 1728130636991558/554120870616979*c_1001_4 + 890469945831329/554120870616979, c_0011_5 - 18391357392809/554120870616979*c_1001_4^11 - 63167178709859/554120870616979*c_1001_4^10 - 262083118965496/554120870616979*c_1001_4^9 - 612531504009584/554120870616979*c_1001_4^8 - 1731999466427769/554120870616979*c_1001_4^7 - 118893756437144/554120870616979*c_1001_4^6 - 5547697695792405/554120870616979*c_1001_4^5 + 4363407737743231/554120870616979*c_1001_4^4 - 7453793284978414/554120870616979*c_1001_4^3 + 4912909223886715/554120870616979*c_1001_4^2 - 2878635744370359/554120870616979*c_1001_4 - 77436405967868/554120870616979, c_0011_7 - 2621181076235/554120870616979*c_1001_4^11 - 15751900833581/554120870616979*c_1001_4^10 - 63394356882982/554120870616979*c_1001_4^9 - 184251388609192/554120870616979*c_1001_4^8 - 474915869277197/554120870616979*c_1001_4^7 - 609998703280186/554120870616979*c_1001_4^6 - 765883863132476/554120870616979*c_1001_4^5 - 590025116232969/554120870616979*c_1001_4^4 - 250537995929652/554120870616979*c_1001_4^3 + 43491512272529/554120870616979*c_1001_4^2 - 323479825970065/554120870616979*c_1001_4 - 112372391047904/554120870616979, c_0101_0 - 15116087443416/554120870616979*c_1001_4^11 - 41319648064266/554120870616979*c_1001_4^10 - 177915501016567/554120870616979*c_1001_4^9 - 342255562551951/554120870616979*c_1001_4^8 - 1025066508718427/554120870616979*c_1001_4^7 + 1046345078982615/554120870616979*c_1001_4^6 - 4123268991535115/554120870616979*c_1001_4^5 + 7448035764829664/554120870616979*c_1001_4^4 - 8045582573608309/554120870616979*c_1001_4^3 + 8888328032414062/554120870616979*c_1001_4^2 - 4974247474587418/554120870616979*c_1001_4 + 2041124184654979/554120870616979, c_0101_10 - 17103770586235/554120870616979*c_1001_4^11 - 61891999789192/554120870616979*c_1001_4^10 - 253504241858568/554120870616979*c_1001_4^9 - 610847534138623/554120870616979*c_1001_4^8 - 1700563860875538/554120870616979*c_1001_4^7 - 363755639373870/554120870616979*c_1001_4^6 - 5062861864523903/554120870616979*c_1001_4^5 + 3171365141911340/554120870616979*c_1001_4^4 - 5759758285844269/554120870616979*c_1001_4^3 + 3450734634429133/554120870616979*c_1001_4^2 - 1806768721203234/554120870616979*c_1001_4 + 119400520723429/554120870616979, c_0101_4 + 18192174098872/554120870616979*c_1001_4^11 + 67681568534721/554120870616979*c_1001_4^10 + 276021339290909/554120870616979*c_1001_4^9 + 676387462822727/554120870616979*c_1001_4^8 + 1868283612644275/554120870616979*c_1001_4^7 + 551732186261812/554120870616979*c_1001_4^6 + 5354326515580541/554120870616979*c_1001_4^5 - 2938005708987217/554120870616979*c_1001_4^4 + 5342682644774763/554120870616979*c_1001_4^3 - 3041379815882233/554120870616979*c_1001_4^2 + 541292644902194/554120870616979*c_1001_4 + 290378162698291/554120870616979, c_0110_7 - 5817263824034/554120870616979*c_1001_4^11 - 13589659631972/554120870616979*c_1001_4^10 - 59324153710921/554120870616979*c_1001_4^9 - 104036829047590/554120870616979*c_1001_4^8 - 336159756452832/554120870616979*c_1001_4^7 + 528152385046084/554120870616979*c_1001_4^6 - 1775042172715682/554120870616979*c_1001_4^5 + 2751615262338978/554120870616979*c_1001_4^4 - 3251034407137376/554120870616979*c_1001_4^3 + 2358734362032128/554120870616979*c_1001_4^2 - 1212747845953026/554120870616979*c_1001_4 + 66894260067492/554120870616979, c_1001_2 + 1088403512637/554120870616979*c_1001_4^11 + 5789568745529/554120870616979*c_1001_4^10 + 22517097432341/554120870616979*c_1001_4^9 + 65539928684104/554120870616979*c_1001_4^8 + 167719751768737/554120870616979*c_1001_4^7 + 187976546887942/554120870616979*c_1001_4^6 + 291464651056638/554120870616979*c_1001_4^5 + 233359432924123/554120870616979*c_1001_4^4 - 417075641069506/554120870616979*c_1001_4^3 + 409354818546900/554120870616979*c_1001_4^2 - 1265476076301040/554120870616979*c_1001_4 + 409778683421720/554120870616979, c_1001_4^12 + 3*c_1001_4^11 + 13*c_1001_4^10 + 28*c_1001_4^9 + 83*c_1001_4^8 - 27*c_1001_4^7 + 319*c_1001_4^6 - 372*c_1001_4^5 + 554*c_1001_4^4 - 482*c_1001_4^3 + 318*c_1001_4^2 - 102*c_1001_4 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB