Magma V2.19-8 Tue Aug 20 2013 16:18:02 on localhost [Seed = 1595851666] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2257 geometric_solution 5.68694120 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 -1 1 -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 -1 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 0.634093223846 0.299624602314 0 4 2 4 0132 2310 3201 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.710797275916 0.609179910745 1 0 3 5 2310 0132 3201 0132 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 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 0.461782028843 1.560198700701 2 5 4 0 2310 1023 3201 0132 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 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 0.461782028843 1.560198700701 3 1 0 1 2310 2310 0132 3201 0 0 0 0 0 0 -1 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 -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 0.710797275916 0.609179910745 3 6 2 6 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090936261126 1.066648026025 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302877738449 0.129996153155 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0110_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), '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_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 523/13*c_0110_6^2 + 135*c_0110_6 + 1468/13, c_0011_0 - 1, c_0011_3 + c_0110_6^2 - 3*c_0110_6 - 1, c_0101_0 - c_0101_3 + c_0110_6^2 - 4*c_0110_6 - 2, c_0101_1 - c_0110_6^2 + 4*c_0110_6 + 2, c_0101_3^2 - c_0101_3*c_0110_6^2 + 4*c_0101_3*c_0110_6 + 2*c_0101_3 + c_0110_6^2 - 3*c_0110_6, c_0101_6 - c_0110_6^2 + 4*c_0110_6 + 2, c_0110_6^3 - 3*c_0110_6^2 - 4*c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 744054822920179/38884743018204*c_0110_6^11 - 1772187396223309/77769486036408*c_0110_6^10 + 46408280685171/25923162012136*c_0110_6^9 + 32188218588281641/103692648048544*c_0110_6^8 + 107038268153062399/155538972072816*c_0110_6^7 + 27550844631741125/38884743018204*c_0110_6^6 + 73449034573975019/155538972072816*c_0110_6^5 + 1888510685669217/6480790503034*c_0110_6^4 + 13754018007653099/51846324024272*c_0110_6^3 + 514499367010227/3240395251517*c_0110_6^2 + 5590767566728853/155538972072816*c_0110_6 - 4542170228879663/311077944145632, c_0011_0 - 1, c_0011_3 - 10738672980/87578250041*c_0110_6^11 + 48758157246/87578250041*c_0110_6^10 - 83241725374/87578250041*c_0110_6^9 - 204405763025/175156500082*c_0110_6^8 + 151420793808/87578250041*c_0110_6^7 + 600569435855/175156500082*c_0110_6^6 - 93678772305/175156500082*c_0110_6^5 - 370445019161/175156500082*c_0110_6^4 + 641228612/87578250041*c_0110_6^3 + 312511268699/175156500082*c_0110_6^2 - 201145478603/175156500082*c_0110_6 - 58755172597/87578250041, c_0101_0 + 73828264712/87578250041*c_0110_6^11 - 147041627052/87578250041*c_0110_6^10 + 114570574300/87578250041*c_0110_6^9 + 1146934104445/87578250041*c_0110_6^8 + 1679272255948/87578250041*c_0110_6^7 + 1263781034237/87578250041*c_0110_6^6 + 913896806023/87578250041*c_0110_6^5 + 674278874596/87578250041*c_0110_6^4 + 700420255138/87578250041*c_0110_6^3 + 271099725704/87578250041*c_0110_6^2 + 71379649029/87578250041*c_0110_6 - 854828333/87578250041, c_0101_1 - 109935893168/87578250041*c_0110_6^11 + 102331196536/87578250041*c_0110_6^10 + 31337278072/87578250041*c_0110_6^9 - 1749780541794/87578250041*c_0110_6^8 - 4526376628590/87578250041*c_0110_6^7 - 4859781665473/87578250041*c_0110_6^6 - 2853466295030/87578250041*c_0110_6^5 - 1312077665764/87578250041*c_0110_6^4 - 1374415561242/87578250041*c_0110_6^3 - 924006814369/87578250041*c_0110_6^2 - 173291934322/87578250041*c_0110_6 + 240360351146/87578250041, c_0101_3 - 73828264712/87578250041*c_0110_6^11 + 147041627052/87578250041*c_0110_6^10 - 114570574300/87578250041*c_0110_6^9 - 1146934104445/87578250041*c_0110_6^8 - 1679272255948/87578250041*c_0110_6^7 - 1263781034237/87578250041*c_0110_6^6 - 913896806023/87578250041*c_0110_6^5 - 674278874596/87578250041*c_0110_6^4 - 700420255138/87578250041*c_0110_6^3 - 271099725704/87578250041*c_0110_6^2 - 71379649029/87578250041*c_0110_6 + 854828333/87578250041, c_0101_6 - 11920352804/87578250041*c_0110_6^11 - 13870287662/87578250041*c_0110_6^10 + 89054004776/87578250041*c_0110_6^9 - 654912006249/175156500082*c_0110_6^8 - 1537033312365/175156500082*c_0110_6^7 - 1147984688191/175156500082*c_0110_6^6 - 352707573864/87578250041*c_0110_6^5 - 919504842693/175156500082*c_0110_6^4 - 680879205531/175156500082*c_0110_6^3 - 367555379377/175156500082*c_0110_6^2 + 41616326270/87578250041*c_0110_6 - 43864051442/87578250041, c_0110_6^12 - 3/2*c_0110_6^11 + 1/2*c_0110_6^10 + 129/8*c_0110_6^9 + 31*c_0110_6^8 + 53/2*c_0110_6^7 + 57/4*c_0110_6^6 + 17/2*c_0110_6^5 + 39/4*c_0110_6^4 + 9/2*c_0110_6^3 - 1/4*c_0110_6^2 - 9/8*c_0110_6 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB