Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 155751715] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0074 geometric_solution 3.62448154 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 0132 3201 0 0 0 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 1 0 -1 0 0 0 0 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963424294492 1.986039325008 0 2 2 3 0132 3201 2310 0132 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 -1 2 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197725329480 0.407598481938 3 1 1 0 1023 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197725329480 0.407598481938 4 2 1 4 0132 1023 0132 1023 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 -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 0.772684774091 0.978940978077 3 5 5 3 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270568891052 0.189711813132 4 4 6 6 2310 0132 0132 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 1.880545427072 0.258545039637 6 5 6 5 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.724120479464 0.049544490562 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_1'], '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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 96171137854758350336/6936465822668187*c_0101_5^18 - 236560158165488434048/2312155274222729*c_0101_5^16 - 1769768442949820807392/2312155274222729*c_0101_5^14 - 9392501585184195804464/6936465822668187*c_0101_5^12 - 8305799078251664361422/6936465822668187*c_0101_5^10 - 1244083604533984074560/2312155274222729*c_0101_5^8 - 960053199924177173065/6936465822668187*c_0101_5^6 - 52622306566280493231/2312155274222729*c_0101_5^4 - 16368175471751617174/6936465822668187*c_0101_5^2 - 1095981238116637031/6936465822668187, c_0011_0 - 1, c_0011_2 + 52007627479300096/177858098017133*c_0101_5^18 + 384999994175497728/177858098017133*c_0101_5^16 + 2879506257274013056/177858098017133*c_0101_5^14 + 5141904020585484416/177858098017133*c_0101_5^12 + 4576011940710501176/177858098017133*c_0101_5^10 + 2071869312466672620/177858098017133*c_0101_5^8 + 530474411704024634/177858098017133*c_0101_5^6 + 88474601039549628/177858098017133*c_0101_5^4 + 10348909052721622/177858098017133*c_0101_5^2 + 802319820297611/177858098017133, c_0011_6 + 144419304821692416/177858098017133*c_0101_5^18 + 1064205848273546496/177858098017133*c_0101_5^16 + 7961021558992751552/177858098017133*c_0101_5^14 + 14016018943118198672/177858098017133*c_0101_5^12 + 12287259039089169024/177858098017133*c_0101_5^10 + 5424891137879714027/177858098017133*c_0101_5^8 + 1352850719923528299/177858098017133*c_0101_5^6 + 216950455572176678/177858098017133*c_0101_5^4 + 21258031036063882/177858098017133*c_0101_5^2 + 1301275706807878/177858098017133, c_0101_0 - 141859874316284160/177858098017133*c_0101_5^19 - 1036834312710884288/177858098017133*c_0101_5^17 - 7755672702591656432/177858098017133*c_0101_5^15 - 13287683267282039000/177858098017133*c_0101_5^13 - 11162936372302931025/177858098017133*c_0101_5^11 - 4488489350925163195/177858098017133*c_0101_5^9 - 936198182214199974/177858098017133*c_0101_5^7 - 124136418862744279/177858098017133*c_0101_5^5 - 12354115844751985/177858098017133*c_0101_5^3 - 967135995696925/177858098017133*c_0101_5, c_0101_1 + 308168934832621056/177858098017133*c_0101_5^19 + 2288896107754056576/177858098017133*c_0101_5^17 + 17117035007970770272/177858098017133*c_0101_5^15 + 30876760202369860480/177858098017133*c_0101_5^13 + 27776837005520485710/177858098017133*c_0101_5^11 + 12777426566355405767/177858098017133*c_0101_5^9 + 3284582162718668978/177858098017133*c_0101_5^7 + 521868132066996350/177858098017133*c_0101_5^5 + 51821278337497968/177858098017133*c_0101_5^3 + 3235154223304553/177858098017133*c_0101_5, c_0101_4 + 79931100451901184/177858098017133*c_0101_5^19 + 593462214762584128/177858098017133*c_0101_5^17 + 4438508135344275984/177858098017133*c_0101_5^15 + 7999610265354698920/177858098017133*c_0101_5^13 + 7205932944591561599/177858098017133*c_0101_5^11 + 3338081916530715953/177858098017133*c_0101_5^9 + 882099523751151867/177858098017133*c_0101_5^7 + 149405377742225075/177858098017133*c_0101_5^5 + 15398793958010835/177858098017133*c_0101_5^3 + 623559072180624/177858098017133*c_0101_5, c_0101_5^20 + 31/4*c_0101_5^18 + 927/16*c_0101_5^16 + 3779/32*c_0101_5^14 + 31313/256*c_0101_5^12 + 18019/256*c_0101_5^10 + 6143/256*c_0101_5^8 + 83/16*c_0101_5^6 + 191/256*c_0101_5^4 + 9/128*c_0101_5^2 + 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB