Magma V2.19-8 Tue Aug 20 2013 16:17:05 on localhost [Seed = 1478083722] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1341 geometric_solution 5.21646955 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757900095726 0.118149880421 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669173577072 0.316526214810 3 1 4 1 0132 0132 0132 1023 0 0 0 0 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 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.533924675111 1.315886838579 2 4 6 5 0132 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 -0.228472955983 0.840924831316 5 6 3 2 3201 3201 2310 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 0 0 0 0 0 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 -0.228472955983 0.840924831316 5 5 3 4 1230 3012 0132 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 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 0.838956722661 1.424550098093 6 6 4 3 1230 3012 2310 0132 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 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 -0.001322993303 0.796562451936 ==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' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 3*c_0101_1^2 + 20/3*c_0101_1 + 17/3, c_0011_0 - 1, c_0011_4 + c_0101_1^2 - 2*c_0101_1, c_0011_5 + c_0101_1, c_0011_6 - c_0101_1 + 1, c_0101_0 + c_0101_1^2 - 2*c_0101_1, c_0101_1^3 - 3*c_0101_1^2 + 1, c_0101_2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 113941839923411/14004495772464*c_0101_2^12 - 24017854379433/4668165257488*c_0101_2^11 - 1096025780808829/14004495772464*c_0101_2^10 + 4340292516076625/14004495772464*c_0101_2^9 - 101841081819691/291760328593*c_0101_2^8 + 661919052967319/4668165257488*c_0101_2^7 - 23576577379361/56469741018*c_0101_2^6 + 586066561934092/875280985779*c_0101_2^5 - 12439624738743/291760328593*c_0101_2^4 - 2734428363466705/3501123943116*c_0101_2^3 + 921000550750625/2334082628744*c_0101_2^2 + 786713715370529/2334082628744*c_0101_2 - 4321183240955/14004495772464, c_0011_0 - 1, c_0011_4 + 75387573692/875280985779*c_0101_2^12 - 105856193879/875280985779*c_0101_2^11 - 238965341269/291760328593*c_0101_2^10 + 3396706387534/875280985779*c_0101_2^9 - 1732802065370/291760328593*c_0101_2^8 + 1058418727930/291760328593*c_0101_2^7 - 167724978829/28234870509*c_0101_2^6 + 9620304894374/875280985779*c_0101_2^5 - 1546700176180/291760328593*c_0101_2^4 - 7108249419244/875280985779*c_0101_2^3 + 7448442678457/875280985779*c_0101_2^2 + 2355747475459/875280985779*c_0101_2 - 475365555907/875280985779, c_0011_5 - 117562324028/875280985779*c_0101_2^12 + 52046628896/875280985779*c_0101_2^11 + 370211766303/291760328593*c_0101_2^10 - 4270892986414/875280985779*c_0101_2^9 + 1500214207778/291760328593*c_0101_2^8 - 712942559548/291760328593*c_0101_2^7 + 206047249048/28234870509*c_0101_2^6 - 9108955200308/875280985779*c_0101_2^5 + 250021835348/291760328593*c_0101_2^4 + 9457214881075/875280985779*c_0101_2^3 - 3832031912950/875280985779*c_0101_2^2 - 4123802959378/875280985779*c_0101_2 - 726183438905/875280985779, c_0011_6 + 12394680119/875280985779*c_0101_2^12 - 39750130844/875280985779*c_0101_2^11 - 28617899996/291760328593*c_0101_2^10 + 782803620226/875280985779*c_0101_2^9 - 618547339820/291760328593*c_0101_2^8 + 662152128893/291760328593*c_0101_2^7 - 49645729324/28234870509*c_0101_2^6 + 3090020754560/875280985779*c_0101_2^5 - 1139750579666/291760328593*c_0101_2^4 - 605659218940/875280985779*c_0101_2^3 + 3592828674787/875280985779*c_0101_2^2 - 1822952979512/875280985779*c_0101_2 - 989907004654/875280985779, c_0101_0 + 295279418543/875280985779*c_0101_2^12 - 118613302487/875280985779*c_0101_2^11 - 963605627070/291760328593*c_0101_2^10 + 10602962908357/875280985779*c_0101_2^9 - 3331753156899/291760328593*c_0101_2^8 + 630077987308/291760328593*c_0101_2^7 - 436761200035/28234870509*c_0101_2^6 + 20753018042528/875280985779*c_0101_2^5 + 1475841676391/291760328593*c_0101_2^4 - 29716850923996/875280985779*c_0101_2^3 + 7884324011227/875280985779*c_0101_2^2 + 16972764488890/875280985779*c_0101_2 + 2292880754981/875280985779, c_0101_1 - 812517487648/875280985779*c_0101_2^12 + 410161399198/875280985779*c_0101_2^11 + 2627552679313/291760328593*c_0101_2^10 - 29956916444366/875280985779*c_0101_2^9 + 10298581420866/291760328593*c_0101_2^8 - 3212645355614/291760328593*c_0101_2^7 + 1282435428203/28234870509*c_0101_2^6 - 61506359815561/875280985779*c_0101_2^5 - 1412646683058/291760328593*c_0101_2^4 + 78516164249375/875280985779*c_0101_2^3 - 29278330485635/875280985779*c_0101_2^2 - 38924628284213/875280985779*c_0101_2 - 3549326757757/875280985779, c_0101_2^13 - 10*c_0101_2^11 + 32*c_0101_2^10 - 19*c_0101_2^9 - 9*c_0101_2^8 - 41*c_0101_2^7 + 50*c_0101_2^6 + 46*c_0101_2^5 - 98*c_0101_2^4 - 12*c_0101_2^3 + 70*c_0101_2^2 + 27*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB