Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 2362249290] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0259 geometric_solution 4.29897598 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 -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 1.352113860892 0.141248391665 0 2 2 0 3201 0132 1023 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 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 1.102523314198 0.122403102728 3 1 1 3 0132 0132 1023 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 1 0 -1 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 1.064427732732 0.255590525015 2 4 5 2 0132 0132 0132 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 -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 0.750468577072 0.299846640691 5 3 6 5 2031 0132 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 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 0.408431127093 0.562034918781 6 4 4 3 1023 2310 1302 0132 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 -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 0.408431127093 0.562034918781 6 5 6 4 2310 1023 3201 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.846139991633 1.164358419151 ==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_0011_5']), 'c_1100_5' : d['c_0011_1'], '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' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_0, c_0101_2, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 75502331641/39490395257*c_0110_4^16 - 402035489447/39490395257*c_0110_4^14 + 1616749610264/39490395257*c_0110_4^12 - 15445731797379/39490395257*c_0110_4^10 + 55719046864465/39490395257*c_0110_4^8 - 64037386032520/39490395257*c_0110_4^6 + 25720114803066/39490395257*c_0110_4^4 - 6514029033949/39490395257*c_0110_4^2 + 2863829916085/39490395257, c_0011_0 - 1, c_0011_1 + 2723403902/39490395257*c_0110_4^16 - 12771408601/39490395257*c_0110_4^14 + 50733403949/39490395257*c_0110_4^12 - 527276003600/39490395257*c_0110_4^10 + 1683940280961/39490395257*c_0110_4^8 - 1339853833615/39490395257*c_0110_4^6 + 379424699917/39490395257*c_0110_4^4 - 145306983388/39490395257*c_0110_4^2 + 17878053538/39490395257, c_0011_5 + 1712018286/39490395257*c_0110_4^17 - 9872834116/39490395257*c_0110_4^15 + 40284987024/39490395257*c_0110_4^13 - 364693715488/39490395257*c_0110_4^11 + 1411041202649/39490395257*c_0110_4^9 - 1934519184156/39490395257*c_0110_4^7 + 1000623694338/39490395257*c_0110_4^5 - 242508954691/39490395257*c_0110_4^3 + 110301001649/39490395257*c_0110_4, c_0101_0 + 8569768392/39490395257*c_0110_4^17 - 42698450733/39490395257*c_0110_4^15 + 170459364890/39490395257*c_0110_4^13 - 1701724733731/39490395257*c_0110_4^11 + 5769564344669/39490395257*c_0110_4^9 - 5590784396395/39490395257*c_0110_4^7 + 1903059474610/39490395257*c_0110_4^5 - 687757526333/39490395257*c_0110_4^3 + 252580728799/39490395257*c_0110_4, c_0101_2 + 5438884802/39490395257*c_0110_4^17 - 26673873574/39490395257*c_0110_4^15 + 106369458951/39490395257*c_0110_4^13 - 1073187870129/39490395257*c_0110_4^11 + 3583048024421/39490395257*c_0110_4^9 - 3323725879310/39490395257*c_0110_4^7 + 1145457237914/39490395257*c_0110_4^5 - 501468881994/39490395257*c_0110_4^3 + 173283004492/39490395257*c_0110_4, c_0101_3 + 1568512921/39490395257*c_0110_4^16 - 7021744063/39490395257*c_0110_4^14 + 27401022455/39490395257*c_0110_4^12 - 296685170921/39490395257*c_0110_4^10 + 901735879743/39490395257*c_0110_4^8 - 523252381661/39490395257*c_0110_4^6 - 31256505775/39490395257*c_0110_4^4 - 59237391430/39490395257*c_0110_4^2 + 22480221970/39490395257, c_0110_4^18 - 5*c_0110_4^16 + 20*c_0110_4^14 - 199*c_0110_4^12 + 677*c_0110_4^10 - 668*c_0110_4^8 + 242*c_0110_4^6 - 78*c_0110_4^4 + 28*c_0110_4^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB