Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 3616951059] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0452 geometric_solution 4.49316187 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250966475695 0.068942510485 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.942582749355 0.261969096713 3 0 3 0 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.283055880993 1.667980791873 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0.007535342541 0.867608460243 6 5 5 3 0132 1023 2031 0132 0 0 0 0 0 0 1 -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 1 0 -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 0.347033351551 0.834250660412 4 6 3 4 1023 2310 0132 1302 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 1 -1 -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 0.347033351551 0.834250660412 4 6 6 5 0132 3201 2310 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 -0.425074312470 1.021857191295 ==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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_0'], '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_0101_0'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 31245287304/537041761*c_0101_4^12 - 227109241257/537041761*c_0101_4^11 + 748593059484/537041761*c_0101_4^10 - 1171089402139/537041761*c_0101_4^9 - 337016177385/537041761*c_0101_4^8 + 1677145953806/537041761*c_0101_4^7 + 2046231136561/537041761*c_0101_4^6 + 22648987430/537041761*c_0101_4^5 - 3394158944535/537041761*c_0101_4^4 - 90555392569/537041761*c_0101_4^3 + 1250353853111/537041761*c_0101_4^2 - 33680418941/537041761*c_0101_4 - 104694277986/537041761, c_0011_0 - 1, c_0011_2 + 371349047/537041761*c_0101_4^12 - 2522207211/537041761*c_0101_4^11 + 7732709645/537041761*c_0101_4^10 - 10529213853/537041761*c_0101_4^9 - 7952830002/537041761*c_0101_4^8 + 14139873592/537041761*c_0101_4^7 + 31721450971/537041761*c_0101_4^6 + 17130668248/537041761*c_0101_4^5 - 30590047824/537041761*c_0101_4^4 - 16597187571/537041761*c_0101_4^3 + 2715982754/537041761*c_0101_4^2 + 2774061078/537041761*c_0101_4 + 859574620/537041761, c_0011_4 - 89300344/537041761*c_0101_4^12 + 770589948/537041761*c_0101_4^11 - 3004069270/537041761*c_0101_4^10 + 6137134179/537041761*c_0101_4^9 - 3252658875/537041761*c_0101_4^8 - 6445887789/537041761*c_0101_4^7 - 69464295/537041761*c_0101_4^6 + 8646745233/537041761*c_0101_4^5 + 12090814944/537041761*c_0101_4^4 - 11883706470/537041761*c_0101_4^3 - 6164099507/537041761*c_0101_4^2 + 2588685069/537041761*c_0101_4 + 606136931/537041761, c_0101_0 + 528134255/537041761*c_0101_4^12 - 3973582390/537041761*c_0101_4^11 + 13588619858/537041761*c_0101_4^10 - 22753501752/537041761*c_0101_4^9 - 1345236809/537041761*c_0101_4^8 + 30331546413/537041761*c_0101_4^7 + 29460693695/537041761*c_0101_4^6 - 9896596668/537041761*c_0101_4^5 - 62410204383/537041761*c_0101_4^4 + 8612780751/537041761*c_0101_4^3 + 23980538427/537041761*c_0101_4^2 - 1841904014/537041761*c_0101_4 - 2023007608/537041761, c_0101_1 + 1242674103/537041761*c_0101_4^12 - 8918984614/537041761*c_0101_4^11 + 29037569717/537041761*c_0101_4^10 - 44481340591/537041761*c_0101_4^9 - 15694479857/537041761*c_0101_4^8 + 62660169974/537041761*c_0101_4^7 + 85857042536/537041761*c_0101_4^6 + 12219692200/537041761*c_0101_4^5 - 127842936006/537041761*c_0101_4^4 - 13001970187/537041761*c_0101_4^3 + 41692240320/537041761*c_0101_4^2 + 864976697/537041761*c_0101_4 - 2875360034/537041761, c_0101_2 + 437897243/537041761*c_0101_4^12 - 2975735976/537041761*c_0101_4^11 + 9067610012/537041761*c_0101_4^10 - 11982256293/537041761*c_0101_4^9 - 10952543640/537041761*c_0101_4^8 + 19538576856/537041761*c_0101_4^7 + 36993335583/537041761*c_0101_4^6 + 17272718280/537041761*c_0101_4^5 - 39919654712/537041761*c_0101_4^4 - 18759582711/537041761*c_0101_4^3 + 10588455329/537041761*c_0101_4^2 + 2796410123/537041761*c_0101_4 - 324218171/537041761, c_0101_4^13 - 7*c_0101_4^12 + 22*c_0101_4^11 - 31*c_0101_4^10 - 21*c_0101_4^9 + 51*c_0101_4^8 + 80*c_0101_4^7 + 18*c_0101_4^6 - 109*c_0101_4^5 - 32*c_0101_4^4 + 40*c_0101_4^3 + 10*c_0101_4^2 - 4*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB