Magma V2.19-8 Tue Aug 20 2013 16:14:22 on localhost [Seed = 2050745945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s363 geometric_solution 4.58385192 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 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 -0.433310379038 2.588479364219 0 0 1 1 0132 3201 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 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 0.179826781473 0.151441081691 3 0 4 3 3201 0132 0132 3120 0 0 0 0 0 1 -1 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 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 0.387609153644 0.683582363656 2 4 0 2 3120 1023 0132 2310 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 0 0 0 -1 1 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 0.387609153644 0.683582363656 3 5 5 2 1023 0132 3201 0132 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 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 0.653481698545 0.262934768343 4 4 5 5 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.167296593224 0.949271043324 ==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_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_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_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 3*c_0101_4^4 + 4*c_0101_4^3 - 11*c_0101_4^2 - 11*c_0101_4 + 7, c_0011_0 - 1, c_0011_3 + c_0101_4^2 - 1, c_0101_0 - c_0101_4^3 + 2*c_0101_4, c_0101_2 - c_0101_4^4 + 3*c_0101_4^2 - 1, c_0101_4^5 + c_0101_4^4 - 4*c_0101_4^3 - 3*c_0101_4^2 + 3*c_0101_4 + 1, c_0101_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 967067552541354/188727990391015*c_0101_5^12 - 17039155839178001/188727990391015*c_0101_5^11 - 46854603805073466/188727990391015*c_0101_5^10 - 154043317449440211/188727990391015*c_0101_5^9 - 96244899526951062/37745598078203*c_0101_5^8 - 185683712464616488/37745598078203*c_0101_5^7 - 1095929519086810157/188727990391015*c_0101_5^6 - 823761986938734418/188727990391015*c_0101_5^5 - 336047231674213437/188727990391015*c_0101_5^4 - 32119720349697249/188727990391015*c_0101_5^3 + 11823745972282352/188727990391015*c_0101_5^2 + 1524294220324539/188727990391015*c_0101_5 - 878487600188786/188727990391015, c_0011_0 - 1, c_0011_3 - 10913247974210/37745598078203*c_0101_5^12 - 193935120581932/37745598078203*c_0101_5^11 - 557737991481400/37745598078203*c_0101_5^10 - 1816178205096675/37745598078203*c_0101_5^9 - 5678571727568817/37745598078203*c_0101_5^8 - 11258792086089168/37745598078203*c_0101_5^7 - 13823938514485947/37745598078203*c_0101_5^6 - 10808620840473685/37745598078203*c_0101_5^5 - 4630792530360613/37745598078203*c_0101_5^4 - 388826006536166/37745598078203*c_0101_5^3 + 443895414133480/37745598078203*c_0101_5^2 + 167105465488723/37745598078203*c_0101_5 - 2907891160918/37745598078203, c_0101_0 + 3861423402226/37745598078203*c_0101_5^12 + 81390608263709/37745598078203*c_0101_5^11 + 422218881673080/37745598078203*c_0101_5^10 + 1259239921057315/37745598078203*c_0101_5^9 + 4041482724453736/37745598078203*c_0101_5^8 + 10319020357664598/37745598078203*c_0101_5^7 + 17106806898475635/37745598078203*c_0101_5^6 + 18223771786155382/37745598078203*c_0101_5^5 + 12373540944498694/37745598078203*c_0101_5^4 + 4354619004989222/37745598078203*c_0101_5^3 + 96600667153757/37745598078203*c_0101_5^2 - 305064036657260/37745598078203*c_0101_5 - 45619820993315/37745598078203, c_0101_2 + 28050202689028/37745598078203*c_0101_5^12 + 506306769525586/37745598078203*c_0101_5^11 + 1567908611946425/37745598078203*c_0101_5^10 + 4985606981821793/37745598078203*c_0101_5^9 + 15723124221890798/37745598078203*c_0101_5^8 + 32380813290404894/37745598078203*c_0101_5^7 + 41665161354416109/37745598078203*c_0101_5^6 + 34553671642781979/37745598078203*c_0101_5^5 + 16804225281161968/37745598078203*c_0101_5^4 + 2860125642014639/37745598078203*c_0101_5^3 - 820629231977772/37745598078203*c_0101_5^2 - 345897512644936/37745598078203*c_0101_5 - 66325196975919/37745598078203, c_0101_4 + 5656160875276/37745598078203*c_0101_5^12 + 91232179193122/37745598078203*c_0101_5^11 + 125573193321057/37745598078203*c_0101_5^10 + 492569569793604/37745598078203*c_0101_5^9 + 1471805840017263/37745598078203*c_0101_5^8 + 1237080400639616/37745598078203*c_0101_5^7 - 1687178925244487/37745598078203*c_0101_5^6 - 4734220535139001/37745598078203*c_0101_5^5 - 5215600745541499/37745598078203*c_0101_5^4 - 2765442299314236/37745598078203*c_0101_5^3 - 336340315455592/37745598078203*c_0101_5^2 + 148650610574327/37745598078203*c_0101_5 + 47640817004385/37745598078203, c_0101_5^13 + 18*c_0101_5^12 + 55*c_0101_5^11 + 175*c_0101_5^10 + 551*c_0101_5^9 + 1125*c_0101_5^8 + 1423*c_0101_5^7 + 1139*c_0101_5^6 + 501*c_0101_5^5 + 33*c_0101_5^4 - 59*c_0101_5^3 - 18*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB