Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 3364443150] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0306 geometric_solution 4.34617502 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 -1 0 1 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 0.618619738815 0.582361077396 3 2 2 0 0132 3012 1230 0132 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 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 1.142989872593 0.806778881794 1 3 0 1 1230 3201 0132 3012 0 0 0 0 0 -1 0 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 0 0 0 -1 1 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 1.142989872593 0.806778881794 1 4 2 4 0132 0132 2310 2310 0 0 0 0 0 1 -1 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 1 -1 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 1.241739655615 0.550609730652 3 3 5 5 3201 0132 3201 0132 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 -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 0.379557698732 0.302680806284 4 6 4 6 2310 0132 0132 2310 0 0 0 0 0 1 -1 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 1 -1 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 -2.241137353910 0.895732665094 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 -1 1 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 -1 1 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 0.352277246355 0.030821112512 ==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_0101_1']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_0']), '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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_5, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 836304474/2535203*c_0110_6^12 + 5465747296/2535203*c_0110_6^11 - 10339715963/2535203*c_0110_6^10 - 3468231772/2535203*c_0110_6^9 + 51183378603/2535203*c_0110_6^8 + 5624459645/2535203*c_0110_6^7 - 43201869340/2535203*c_0110_6^6 - 88454888542/2535203*c_0110_6^5 + 50385527651/2535203*c_0110_6^4 + 56848332036/2535203*c_0110_6^3 - 8177001990/2535203*c_0110_6^2 - 13016536344/2535203*c_0110_6 - 2288529114/2535203, c_0011_0 - 1, c_0011_1 - 48975363/2535203*c_0110_6^12 + 312571401/2535203*c_0110_6^11 - 562249795/2535203*c_0110_6^10 - 263716318/2535203*c_0110_6^9 + 2927732783/2535203*c_0110_6^8 + 718750495/2535203*c_0110_6^7 - 2180153895/2535203*c_0110_6^6 - 5222110794/2535203*c_0110_6^5 + 2135395398/2535203*c_0110_6^4 + 3118261933/2535203*c_0110_6^3 - 258513724/2535203*c_0110_6^2 - 611985395/2535203*c_0110_6 - 106186285/2535203, c_0011_5 - 42921330/2535203*c_0110_6^12 + 275093086/2535203*c_0110_6^11 - 497194402/2535203*c_0110_6^10 - 235312023/2535203*c_0110_6^9 + 2598690612/2535203*c_0110_6^8 + 584378274/2535203*c_0110_6^7 - 2086522586/2535203*c_0110_6^6 - 4636350481/2535203*c_0110_6^5 + 2037265566/2535203*c_0110_6^4 + 2993540317/2535203*c_0110_6^3 - 274790103/2535203*c_0110_6^2 - 631905465/2535203*c_0110_6 - 112418597/2535203, c_0101_1 + 59761674/2535203*c_0110_6^12 - 382047389/2535203*c_0110_6^11 + 687528495/2535203*c_0110_6^10 + 330026834/2535203*c_0110_6^9 - 3599788725/2535203*c_0110_6^8 - 860100452/2535203*c_0110_6^7 + 2811417018/2535203*c_0110_6^6 + 6439075949/2535203*c_0110_6^5 - 2721390086/2535203*c_0110_6^4 - 4057768859/2535203*c_0110_6^3 + 339639325/2535203*c_0110_6^2 + 843003687/2535203*c_0110_6 + 151658367/2535203, c_0101_2 - 20513451/2535203*c_0110_6^12 + 133630681/2535203*c_0110_6^11 - 251388843/2535203*c_0110_6^10 - 87043519/2535203*c_0110_6^9 + 1249758270/2535203*c_0110_6^8 + 156384627/2535203*c_0110_6^7 - 1023696332/2535203*c_0110_6^6 - 2154086745/2535203*c_0110_6^5 + 1184117969/2535203*c_0110_6^4 + 1350336401/2535203*c_0110_6^3 - 202488274/2535203*c_0110_6^2 - 291714035/2535203*c_0110_6 - 50044829/2535203, c_0101_5 - 18981403/2535203*c_0110_6^12 + 120383960/2535203*c_0110_6^11 - 214554308/2535203*c_0110_6^10 - 102037816/2535203*c_0110_6^9 + 1116758820/2535203*c_0110_6^8 + 312915764/2535203*c_0110_6^7 - 753918203/2535203*c_0110_6^6 - 2005287761/2535203*c_0110_6^5 + 726796329/2535203*c_0110_6^4 + 1086085350/2535203*c_0110_6^3 - 60405537/2535203*c_0110_6^2 - 192452176/2535203*c_0110_6 - 35551114/2535203, c_0110_6^13 - 6*c_0110_6^12 + 9*c_0110_6^11 + 10*c_0110_6^10 - 58*c_0110_6^9 - 38*c_0110_6^8 + 41*c_0110_6^7 + 126*c_0110_6^6 - 3*c_0110_6^5 - 85*c_0110_6^4 - 21*c_0110_6^3 + 16*c_0110_6^2 + 8*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB