Magma V2.19-8 Tue Aug 20 2013 16:18:11 on localhost [Seed = 1090575483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2401 geometric_solution 5.76182459 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 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 -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 0.618910414065 0.409426589019 3 0 3 4 0132 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592738220092 0.363367027688 5 3 0 4 0132 1230 0132 1230 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 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 0.744076564180 0.565771134040 1 6 2 1 0132 0132 3012 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026907701267 0.584769714969 2 5 1 6 3012 1302 0132 2103 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 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 1.186512000463 2.151577875870 2 5 5 4 0132 1230 3012 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 1.455598273990 1.193599093082 6 3 6 4 2031 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0 0 0 0.754999842091 0.453709317232 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], '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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_2'], '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_2, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4846477689989864/65219774765125*c_0110_6^13 + 3107450643596608/65219774765125*c_0110_6^12 - 2487226452206228/3836457339125*c_0110_6^11 - 29230056513717572/65219774765125*c_0110_6^10 + 159890038739893972/65219774765125*c_0110_6^9 + 121272112330143117/65219774765125*c_0110_6^8 - 67417176234990219/13043954953025*c_0110_6^7 - 270409759995788807/65219774765125*c_0110_6^6 + 3335613961737568/521758198121*c_0110_6^5 + 336017440835798193/65219774765125*c_0110_6^4 - 283009049787624648/65219774765125*c_0110_6^3 - 219246408147261324/65219774765125*c_0110_6^2 + 79992098396448496/65219774765125*c_0110_6 + 57527763457965884/65219774765125, c_0011_0 - 1, c_0011_2 + c_0110_6^2 - 1, c_0011_4 + 42174456/24731393*c_0110_6^13 - 14795912/24731393*c_0110_6^12 - 360363948/24731393*c_0110_6^11 + 66626456/24731393*c_0110_6^10 + 1339476416/24731393*c_0110_6^9 - 53362117/24731393*c_0110_6^8 - 2815880274/24731393*c_0110_6^7 - 127813468/24731393*c_0110_6^6 + 3437770321/24731393*c_0110_6^5 + 282802134/24731393*c_0110_6^4 - 2243121271/24731393*c_0110_6^3 - 238035019/24731393*c_0110_6^2 + 585371440/24731393*c_0110_6 + 91632211/24731393, c_0101_1 - 568170152/24731393*c_0110_6^13 + 126035872/24731393*c_0110_6^12 + 4683706308/24731393*c_0110_6^11 - 626720372/24731393*c_0110_6^10 - 16959141604/24731393*c_0110_6^9 + 513604959/24731393*c_0110_6^8 + 34895277963/24731393*c_0110_6^7 + 1093815617/24731393*c_0110_6^6 - 41818610827/24731393*c_0110_6^5 - 2338892927/24731393*c_0110_6^4 + 26339712909/24731393*c_0110_6^3 + 2155303301/24731393*c_0110_6^2 - 6320755463/24731393*c_0110_6 - 999550326/24731393, c_0101_2 + 198389720/24731393*c_0110_6^13 - 2198080/24731393*c_0110_6^12 - 1597386724/24731393*c_0110_6^11 - 88310060/24731393*c_0110_6^10 + 5632862072/24731393*c_0110_6^9 + 751944703/24731393*c_0110_6^8 - 11253975237/24731393*c_0110_6^7 - 1859118580/24731393*c_0110_6^6 + 13111206991/24731393*c_0110_6^5 + 2055658222/24731393*c_0110_6^4 - 8072493716/24731393*c_0110_6^3 - 1175028545/24731393*c_0110_6^2 + 1909016133/24731393*c_0110_6 + 339438221/24731393, c_0101_3 + 246547224/24731393*c_0110_6^13 - 49847072/24731393*c_0110_6^12 - 2004079124/24731393*c_0110_6^11 + 246500276/24731393*c_0110_6^10 + 7155243320/24731393*c_0110_6^9 - 214719825/24731393*c_0110_6^8 - 14551059597/24731393*c_0110_6^7 - 294534402/24731393*c_0110_6^6 + 17279790691/24731393*c_0110_6^5 + 617154431/24731393*c_0110_6^4 - 10821262074/24731393*c_0110_6^3 - 643294581/24731393*c_0110_6^2 + 2596291179/24731393*c_0110_6 + 380020377/24731393, c_0110_6^14 + c_0110_6^13 - 17/2*c_0110_6^12 - 9*c_0110_6^11 + 31*c_0110_6^10 + 285/8*c_0110_6^9 - 247/4*c_0110_6^8 - 307/4*c_0110_6^7 + 559/8*c_0110_6^6 + 373/4*c_0110_6^5 - 161/4*c_0110_6^4 - 477/8*c_0110_6^3 + 25/4*c_0110_6^2 + 121/8*c_0110_6 + 17/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB