Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 2134827601] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2586 geometric_solution 5.88054502 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 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 -0.036302104243 1.166820800690 0 1 3 1 0132 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477499242341 0.318092398704 5 0 2 2 0132 0132 1230 3012 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 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 0.289008539813 1.332576446049 1 6 5 0 2031 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321923637423 0.546691505007 6 5 0 5 3120 1230 0132 0213 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 -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 -0.984010076523 0.709611104817 2 3 4 4 0132 0213 3012 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 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 0.613275420804 0.811039656315 6 3 6 4 2031 0132 1302 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 1 0 -1 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 0 0.535272089381 1.396528955106 ==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_3'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1010_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_5'])})} 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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 13908382881869774920/646454506991923*c_1010_5^10 - 82494447882635718283/646454506991923*c_1010_5^9 + 130844829985111968652/646454506991923*c_1010_5^8 - 314976782747125797082/646454506991923*c_1010_5^7 + 5836027552662737543/4015245385043*c_1010_5^6 + 603027893095196304506/646454506991923*c_1010_5^5 - 3087376455735585498108/646454506991923*c_1010_5^4 + 5580813374333531616333/646454506991923*c_1010_5^3 - 1054209204486956866492/92350643855989*c_1010_5^2 + 3121943547012275471606/646454506991923*c_1010_5 + 202672519041469115970/646454506991923, c_0011_0 - 1, c_0011_3 + 623745724617/4015245385043*c_1010_5^10 + 3740436374802/4015245385043*c_1010_5^9 - 5589264967146/4015245385043*c_1010_5^8 + 13991388732002/4015245385043*c_1010_5^7 - 41341532536653/4015245385043*c_1010_5^6 - 29218795383846/4015245385043*c_1010_5^5 + 134455301168789/4015245385043*c_1010_5^4 - 244657014058079/4015245385043*c_1010_5^3 + 318312788644285/4015245385043*c_1010_5^2 - 126631603341047/4015245385043*c_1010_5 - 9258852973421/4015245385043, c_0011_4 - 174157239723/4015245385043*c_1010_5^10 - 986993064400/4015245385043*c_1010_5^9 + 1953171423661/4015245385043*c_1010_5^8 - 4079984755599/4015245385043*c_1010_5^7 + 12797969213329/4015245385043*c_1010_5^6 + 5726210297006/4015245385043*c_1010_5^5 - 42455050477111/4015245385043*c_1010_5^4 + 76644677483519/4015245385043*c_1010_5^3 - 107360311349087/4015245385043*c_1010_5^2 + 49434262538800/4015245385043*c_1010_5 + 4657173463719/4015245385043, c_0101_0 + 335995588274/4015245385043*c_1010_5^10 + 2031496952480/4015245385043*c_1010_5^9 - 2900356006962/4015245385043*c_1010_5^8 + 7493948771609/4015245385043*c_1010_5^7 - 21659871619662/4015245385043*c_1010_5^6 - 16287434730210/4015245385043*c_1010_5^5 + 72420861750261/4015245385043*c_1010_5^4 - 129474542744475/4015245385043*c_1010_5^3 + 164271780985478/4015245385043*c_1010_5^2 - 63701822968579/4015245385043*c_1010_5 - 8653904758270/4015245385043, c_0101_2 - 276204309482/4015245385043*c_1010_5^10 - 1645909692842/4015245385043*c_1010_5^9 + 2574404175326/4015245385043*c_1010_5^8 - 6006152927061/4015245385043*c_1010_5^7 + 18643883779478/4015245385043*c_1010_5^6 + 12976473428701/4015245385043*c_1010_5^5 - 61260052698336/4015245385043*c_1010_5^4 + 107477981875681/4015245385043*c_1010_5^3 - 142426190402369/4015245385043*c_1010_5^2 + 56743367513219/4015245385043*c_1010_5 + 5313623236552/4015245385043, c_0101_5 + 170061054859/4015245385043*c_1010_5^10 + 1042041890633/4015245385043*c_1010_5^9 - 1383702536650/4015245385043*c_1010_5^8 + 3669144099474/4015245385043*c_1010_5^7 - 10714104463411/4015245385043*c_1010_5^6 - 9035684841804/4015245385043*c_1010_5^5 + 35786663150668/4015245385043*c_1010_5^4 - 61255055374814/4015245385043*c_1010_5^3 + 78827928369251/4015245385043*c_1010_5^2 - 26555666376810/4015245385043*c_1010_5 - 2343910779078/4015245385043, c_1010_5^11 + 6*c_1010_5^10 - 9*c_1010_5^9 + 22*c_1010_5^8 - 66*c_1010_5^7 - 48*c_1010_5^6 + 219*c_1010_5^5 - 386*c_1010_5^4 + 503*c_1010_5^3 - 188*c_1010_5^2 - 30*c_1010_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB