Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 2311591300] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s532 geometric_solution 4.94247070 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 0 0 -1 1 0 -1 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.321195510002 1.178816008110 0 3 2 4 0132 0132 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018839664445 0.851076091651 3 0 4 1 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018839664445 0.851076091651 5 1 5 2 0132 0132 2310 2310 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 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 0.596147623368 1.091013558306 2 4 1 4 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.025997023301 1.174407593645 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.479236269787 0.156653414600 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1579684633501490485806820/9187496569486084680543*c_0101_3^16 + 1060529627226957864474230/9187496569486084680543*c_0101_3^15 - 53185495068769522839000515/73499972555888677444344*c_0101_3^14 - 86330174627527078375921343/73499972555888677444344*c_0101_3^13 + 46004998608397828627426067/36749986277944338722172*c_0101_3^12 + 28602651728164780552119464/9187496569486084680543*c_0101_3^11 - 8713020587787896312940893/6124997712990723120362*c_0101_3^10 - 318821561378680033432837387/73499972555888677444344*c_0101_3^9 + 9962017659978851688060453/6124997712990723120362*c_0101_3^8 + 9828737472223768225302440/3062498856495361560181*c_0101_3^7 - 14045145715730707302951097/9187496569486084680543*c_0101_3^6 - 62346067132305803351127395/73499972555888677444344*c_0101_3^5 - 3299555747732407335152831/73499972555888677444344*c_0101_3^4 - 1200558225127092119347119/6124997712990723120362*c_0101_3^3 + 4346841093100273005866563/18374993138972169361086*c_0101_3^2 + 88561579999656584151553/9187496569486084680543*c_0101_3 + 757334364935011936323813/24499990851962892481448, c_0011_0 - 1, c_0011_4 - 24845402571876795342840/3062498856495361560181*c_0101_3^16 - 8125827930044629445788/3062498856495361560181*c_0101_3^15 + 447054032196816508214325/12249995425981446240724*c_0101_3^14 + 131949840212257137122702/3062498856495361560181*c_0101_3^13 - 988120751366976502439039/12249995425981446240724*c_0101_3^12 - 1544292442069959834464555/12249995425981446240724*c_0101_3^11 + 388420873314814248289852/3062498856495361560181*c_0101_3^10 + 1122176701346905004088705/6124997712990723120362*c_0101_3^9 - 1017400561301926574789869/6124997712990723120362*c_0101_3^8 - 781922680686394977459777/6124997712990723120362*c_0101_3^7 + 459587891225501738104471/3062498856495361560181*c_0101_3^6 + 150456674088688324988971/12249995425981446240724*c_0101_3^5 - 198158043836622292131959/6124997712990723120362*c_0101_3^4 + 206742910816969753092923/12249995425981446240724*c_0101_3^3 - 110796897313707506884091/12249995425981446240724*c_0101_3^2 + 7682713680860362013217/6124997712990723120362*c_0101_3 - 3696093021580442844587/6124997712990723120362, c_0101_0 + 20149568117990117858872/3062498856495361560181*c_0101_3^16 + 20080461168980721772524/3062498856495361560181*c_0101_3^15 - 347458015927825126498061/12249995425981446240724*c_0101_3^14 - 340073909836509550721077/6124997712990723120362*c_0101_3^13 + 257902746238085115511071/6124997712990723120362*c_0101_3^12 + 1835022412387217969117121/12249995425981446240724*c_0101_3^11 - 371952472282567935980389/12249995425981446240724*c_0101_3^10 - 2735742676583577013075571/12249995425981446240724*c_0101_3^9 + 73769892853046573985726/3062498856495361560181*c_0101_3^8 + 1221060337390895879416087/6124997712990723120362*c_0101_3^7 - 225864446774285377244943/6124997712990723120362*c_0101_3^6 - 1181846389800976766342689/12249995425981446240724*c_0101_3^5 + 17902571498504299611833/3062498856495361560181*c_0101_3^4 + 52908770529499630277675/6124997712990723120362*c_0101_3^3 + 69650966411135903509083/12249995425981446240724*c_0101_3^2 + 40719694953651166665431/12249995425981446240724*c_0101_3 - 1418681508345061112787/12249995425981446240724, c_0101_1 + 40560145025854192516/28621484640143565983*c_0101_3^16 + 59960392509787848238/28621484640143565983*c_0101_3^15 - 1140574853332571962651/228971877121148527864*c_0101_3^14 - 3211600375901147844701/228971877121148527864*c_0101_3^13 + 98991169745158121887/57242969280287131966*c_0101_3^12 + 3560346649977995398493/114485938560574263932*c_0101_3^11 + 498050443659915936675/57242969280287131966*c_0101_3^10 - 8789533230811562549189/228971877121148527864*c_0101_3^9 - 342633512858663835722/28621484640143565983*c_0101_3^8 + 1587186824568664542307/57242969280287131966*c_0101_3^7 + 95280014066411596147/28621484640143565983*c_0101_3^6 - 1896417721807863699455/228971877121148527864*c_0101_3^5 - 649676944539651144201/228971877121148527864*c_0101_3^4 - 776692023042299182291/114485938560574263932*c_0101_3^3 - 69513585435073837/114485938560574263932*c_0101_3^2 + 90752016569277643337/57242969280287131966*c_0101_3 + 25024783697334187969/228971877121148527864, c_0101_2 + 39680319996860751980/28621484640143565983*c_0101_3^16 + 33611273289482653410/28621484640143565983*c_0101_3^15 - 1224153269634292411417/228971877121148527864*c_0101_3^14 - 2372265219033916151669/228971877121148527864*c_0101_3^13 + 802256788219910307405/114485938560574263932*c_0101_3^12 + 1430933779254562364543/57242969280287131966*c_0101_3^11 - 118910650570654980684/28621484640143565983*c_0101_3^10 - 7253384236995589603181/228971877121148527864*c_0101_3^9 + 167581748663767804247/57242969280287131966*c_0101_3^8 + 592141790633125454468/28621484640143565983*c_0101_3^7 - 86219175911087684013/28621484640143565983*c_0101_3^6 - 893037814694776299297/228971877121148527864*c_0101_3^5 - 1218762849621301276325/228971877121148527864*c_0101_3^4 - 126785209998511888531/57242969280287131966*c_0101_3^3 + 21824541772727029750/28621484640143565983*c_0101_3^2 - 6418849396245888169/57242969280287131966*c_0101_3 + 239111913377612075993/228971877121148527864, c_0101_3^17 + 1/2*c_0101_3^16 - 139/32*c_0101_3^15 - 49/8*c_0101_3^14 + 273/32*c_0101_3^13 + 17*c_0101_3^12 - 23/2*c_0101_3^11 - 773/32*c_0101_3^10 + 445/32*c_0101_3^9 + 35/2*c_0101_3^8 - 49/4*c_0101_3^7 - 119/32*c_0101_3^6 + 3/4*c_0101_3^5 - 33/32*c_0101_3^4 + 25/16*c_0101_3^3 - 1/8*c_0101_3^2 + 5/32*c_0101_3 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB