Magma V2.19-8 Wed Aug 21 2013 01:00:54 on localhost [Seed = 3516385852] Type ? for help. Type -D to quit. Loading file "L13n9884__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9884 geometric_solution 12.13492909 oriented_manifold CS_known -0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 2 1 2 2 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 -1 0 1 -1 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 0.830145165871 0.789057032767 0 4 5 5 0132 0132 2103 0132 2 1 2 2 0 -1 1 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 -2 2 0 1 0 -4 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214176760300 0.811896909890 4 0 7 6 3201 0132 0132 0132 2 2 2 2 0 0 0 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 1 0 -1 2 0 -2 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623921877361 0.384977203747 0 8 5 0 3120 0132 0132 0132 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260728824256 1.211210228305 4 1 4 2 2031 0132 1302 2310 2 2 2 2 0 1 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 2 0 -2 0 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482449107377 1.346643363778 1 6 1 3 2103 2031 0132 0132 2 1 2 2 0 0 0 0 1 0 -1 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 4 0 -3 -1 -2 3 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696223978833 1.151547966916 5 9 2 10 1302 0132 0132 0132 2 2 2 2 0 -1 0 1 -1 0 0 1 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 -3 1 2 -3 0 0 3 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695205776876 0.869526069127 10 8 11 2 0132 2031 0132 0132 2 2 2 0 0 0 0 0 0 0 -1 1 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 -2 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474503695711 1.016114831442 7 3 9 12 1302 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789084924411 0.638727337798 11 6 12 8 1230 0132 2103 0132 2 0 2 2 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 3 -3 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 0.825934231142 0.475165027709 7 11 6 12 0132 1023 0132 0213 2 2 0 2 0 1 -1 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 2 -2 0 0 0 -3 3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.075154798875 0.637232398608 10 9 12 7 1023 3012 0213 0132 2 2 0 2 0 0 0 0 -1 0 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 -2 0 0 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214473024792 1.274072908778 9 11 8 10 2103 0213 0132 0213 2 0 2 2 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 0 0 -1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627861533103 0.964451092985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : negation(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_0101_7'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : d['c_1010_12'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1010_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_12'], 'c_1100_10' : d['c_1010_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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'], 'c_1100_12' : d['c_0101_7'], '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' : negation(d['c_0011_6']), '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' : negation(d['c_0011_10']), '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_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_12, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_0, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 60259198801233167/11739177117514*c_1010_12^11 - 282941505170383831/23478354235028*c_1010_12^10 + 100313881960506219/1677025302502*c_1010_12^9 + 5452879324894671631/23478354235028*c_1010_12^8 + 15007690022201456039/23478354235028*c_1010_12^7 + 9863779618253495628/5869588558757*c_1010_12^6 + 79718855401916278641/23478354235028*c_1010_12^5 + 106917317269592106895/23478354235028*c_1010_12^4 + 94626481686309674791/23478354235028*c_1010_12^3 + 53715593831917443609/23478354235028*c_1010_12^2 + 649355144788632243/838512651251*c_1010_12 + 1395974791262850965/11739177117514, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 578922779/3692726366*c_1010_12^11 - 2786515531/7385452732*c_1010_12^10 + 925410841/527532338*c_1010_12^9 + 3197994311/434438396*c_1010_12^8 + 128950638955/7385452732*c_1010_12^7 + 178299999495/3692726366*c_1010_12^6 + 689431860707/7385452732*c_1010_12^5 + 848375640233/7385452732*c_1010_12^4 + 639805653841/7385452732*c_1010_12^3 + 266455992517/7385452732*c_1010_12^2 + 977417217/263766169*c_1010_12 - 3585090629/1846363183, c_0011_3 - 266018957/527532338*c_1010_12^11 + 2043247709/1055064676*c_1010_12^10 - 4334151691/527532338*c_1010_12^9 - 13204669763/1055064676*c_1010_12^8 - 2216596239/62062628*c_1010_12^7 - 25222484459/263766169*c_1010_12^6 - 156024943095/1055064676*c_1010_12^5 - 117346597567/1055064676*c_1010_12^4 - 40851930743/1055064676*c_1010_12^3 + 1106762287/1055064676*c_1010_12^2 + 278896467/263766169*c_1010_12 - 93125331/263766169, c_0011_5 - 469307945/3692726366*c_1010_12^11 + 5146955221/7385452732*c_1010_12^10 - 741516525/263766169*c_1010_12^9 - 278739387/7385452732*c_1010_12^8 - 18844701293/7385452732*c_1010_12^7 - 33125477093/3692726366*c_1010_12^6 + 51561830269/7385452732*c_1010_12^5 + 307786564279/7385452732*c_1010_12^4 + 359942388403/7385452732*c_1010_12^3 + 179394564677/7385452732*c_1010_12^2 + 1296400785/527532338*c_1010_12 - 224860498/108609599, c_0011_6 + 1229456667/3692726366*c_1010_12^11 - 457420559/434438396*c_1010_12^10 + 1234081665/263766169*c_1010_12^9 + 84627871721/7385452732*c_1010_12^8 + 230393940557/7385452732*c_1010_12^7 + 151349377891/1846363183*c_1010_12^6 + 1093678955855/7385452732*c_1010_12^5 + 1189532780173/7385452732*c_1010_12^4 + 785207337263/7385452732*c_1010_12^3 + 255256501589/7385452732*c_1010_12^2 + 352323476/263766169*c_1010_12 - 3468092801/1846363183, c_0101_0 - 1, c_0101_10 + 76111527/217219198*c_1010_12^11 - 6586477623/7385452732*c_1010_12^10 + 2146066415/527532338*c_1010_12^9 + 116154608469/7385452732*c_1010_12^8 + 277377610001/7385452732*c_1010_12^7 + 188257674380/1846363183*c_1010_12^6 + 1442368333313/7385452732*c_1010_12^5 + 1707310281185/7385452732*c_1010_12^4 + 1171916997765/7385452732*c_1010_12^3 + 410237277715/7385452732*c_1010_12^2 + 680902862/263766169*c_1010_12 - 4468207239/1846363183, c_0101_12 - 3999344840/4484024873*c_1010_12^11 + 12887769186/4484024873*c_1010_12^10 - 56083687902/4484024873*c_1010_12^9 - 276124780877/8968049746*c_1010_12^8 - 350449641859/4484024873*c_1010_12^7 - 947696847385/4484024873*c_1010_12^6 - 1666521670213/4484024873*c_1010_12^5 - 3377751371319/8968049746*c_1010_12^4 - 979284728520/4484024873*c_1010_12^3 - 507440907141/8968049746*c_1010_12^2 + 27595921207/8968049746*c_1010_12 + 14302727201/4484024873, c_0101_3 + 412294007/1846363183*c_1010_12^11 - 719761201/3692726366*c_1010_12^10 + 663033365/527532338*c_1010_12^9 + 57937934541/3692726366*c_1010_12^8 + 64633227177/1846363183*c_1010_12^7 + 343389871667/3692726366*c_1010_12^6 + 746965081791/3692726366*c_1010_12^5 + 503774211366/1846363183*c_1010_12^4 + 382964846542/1846363183*c_1010_12^3 + 147407960598/1846363183*c_1010_12^2 + 2658206509/527532338*c_1010_12 - 8290835705/1846363183, c_0101_7 - 4050674262/31388174111*c_1010_12^11 + 22953028943/31388174111*c_1010_12^10 - 13795780737/4484024873*c_1010_12^9 + 60607235009/62776348222*c_1010_12^8 - 147079239029/31388174111*c_1010_12^7 - 263281160355/31388174111*c_1010_12^6 + 102799128147/31388174111*c_1010_12^5 + 1935679320033/62776348222*c_1010_12^4 + 1020420410566/31388174111*c_1010_12^3 + 992185840515/62776348222*c_1010_12^2 - 759330133/8968049746*c_1010_12 - 35143724837/31388174111, c_1001_0 + 2686720713/3692726366*c_1010_12^11 - 15742256365/7385452732*c_1010_12^10 + 2498592528/263766169*c_1010_12^9 + 208308557423/7385452732*c_1010_12^8 + 522307861149/7385452732*c_1010_12^7 + 696504654093/3692726366*c_1010_12^6 + 2586104765247/7385452732*c_1010_12^5 + 2836523028433/7385452732*c_1010_12^4 + 1817822901369/7385452732*c_1010_12^3 + 581884506383/7385452732*c_1010_12^2 + 2100413575/527532338*c_1010_12 - 7638958388/1846363183, c_1010_12^12 - 5/2*c_1010_12^11 + 12*c_1010_12^10 + 87/2*c_1010_12^9 + 235/2*c_1010_12^8 + 308*c_1010_12^7 + 1221/2*c_1010_12^6 + 1567/2*c_1010_12^5 + 1289/2*c_1010_12^4 + 639/2*c_1010_12^3 + 78*c_1010_12^2 - 2*c_1010_12 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB