Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 1014865978] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s612 geometric_solution 5.09341260 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 -1 0 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398287104324 0.462329188011 0 3 2 4 0132 0132 1230 0132 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 1 0 0 -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 0.546433291008 0.858991584209 3 0 4 1 3201 0132 0132 3012 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 0.546433291008 0.858991584209 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 -0.171387855825 1.245677392232 5 5 1 2 0132 2310 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 0 0 0 -1 0 1 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 0.390077764332 1.769673985014 4 5 5 4 0132 3201 2310 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 1 0 -1 1 0 -1 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 -0.579056890791 0.465319475982 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1293730094560092840/31814250017861693*c_0110_2^14 + 5629285143629629922/31814250017861693*c_0110_2^13 - 145869020598598281/31814250017861693*c_0110_2^12 - 15312448989608893821/31814250017861693*c_0110_2^11 - 18450719476461153143/31814250017861693*c_0110_2^10 - 46321381950148853010/31814250017861693*c_0110_2^9 - 23463333064443360803/31814250017861693*c_0110_2^8 - 66576104446296830246/31814250017861693*c_0110_2^7 - 226757169878596467832/31814250017861693*c_0110_2^6 - 94411334940634695183/31814250017861693*c_0110_2^5 - 18576639387801445967/31814250017861693*c_0110_2^4 + 131978338871223231934/31814250017861693*c_0110_2^3 + 4329599887643401319/31814250017861693*c_0110_2^2 - 13764556891502660300/31814250017861693*c_0110_2 + 1117425705161079937/31814250017861693, c_0011_0 - 1, c_0011_4 + 207881755441990352/159071250089308465*c_0110_2^14 + 1002144164399393908/159071250089308465*c_0110_2^13 + 414540709956865802/159071250089308465*c_0110_2^12 - 481929651671626820/31814250017861693*c_0110_2^11 - 4099900014251171432/159071250089308465*c_0110_2^10 - 8977224554956242969/159071250089308465*c_0110_2^9 - 7504651829088933004/159071250089308465*c_0110_2^8 - 13037300715936474889/159071250089308465*c_0110_2^7 - 41897042023951303228/159071250089308465*c_0110_2^6 - 33162311809221227021/159071250089308465*c_0110_2^5 - 12725476588541588001/159071250089308465*c_0110_2^4 + 17860624681401049131/159071250089308465*c_0110_2^3 + 9585924088153397018/159071250089308465*c_0110_2^2 - 1031787450027029518/159071250089308465*c_0110_2 - 508708219100683988/159071250089308465, c_0101_0 + 72608669561372488/159071250089308465*c_0110_2^14 + 322159368441139992/159071250089308465*c_0110_2^13 + 25774409623824378/159071250089308465*c_0110_2^12 - 165543035946777336/31814250017861693*c_0110_2^11 - 1098197371795937528/159071250089308465*c_0110_2^10 - 2765140914648860181/159071250089308465*c_0110_2^9 - 1664283924144763856/159071250089308465*c_0110_2^8 - 4139664582944320961/159071250089308465*c_0110_2^7 - 13287371515621908397/159071250089308465*c_0110_2^6 - 6829789769396641764/159071250089308465*c_0110_2^5 - 2864285461573193894/159071250089308465*c_0110_2^4 + 6291270643489377649/159071250089308465*c_0110_2^3 + 468914929949811802/159071250089308465*c_0110_2^2 - 340165513790241217/159071250089308465*c_0110_2 + 122840471012927833/159071250089308465, c_0101_1 - 6758779617858722/31814250017861693*c_0110_2^14 - 30885905216191147/31814250017861693*c_0110_2^13 - 6140044605797442/31814250017861693*c_0110_2^12 + 77673603205062775/31814250017861693*c_0110_2^11 + 112260948707695298/31814250017861693*c_0110_2^10 + 269398706588137962/31814250017861693*c_0110_2^9 + 186797670687996230/31814250017861693*c_0110_2^8 + 395495086389329257/31814250017861693*c_0110_2^7 + 1284321218922595527/31814250017861693*c_0110_2^6 + 780650074470392364/31814250017861693*c_0110_2^5 + 307158936265959374/31814250017861693*c_0110_2^4 - 571753408634379868/31814250017861693*c_0110_2^3 - 164136157960324613/31814250017861693*c_0110_2^2 + 30150154685087758/31814250017861693*c_0110_2 - 7886882557811647/31814250017861693, c_0101_2 - 1151142863166/4672656642755*c_0110_2^14 - 5153666785239/4672656642755*c_0110_2^13 - 397787456211/4672656642755*c_0110_2^12 + 2814977563026/934531328551*c_0110_2^11 + 18077221403456/4672656642755*c_0110_2^10 + 42056724135407/4672656642755*c_0110_2^9 + 24572556069657/4672656642755*c_0110_2^8 + 58490065559767/4672656642755*c_0110_2^7 + 207938037619369/4672656642755*c_0110_2^6 + 104378485206973/4672656642755*c_0110_2^5 + 10712631341293/4672656642755*c_0110_2^4 - 122355502494793/4672656642755*c_0110_2^3 - 16334982642724/4672656642755*c_0110_2^2 + 24205967018914/4672656642755*c_0110_2 + 913752781659/4672656642755, c_0110_2^15 + 9/2*c_0110_2^14 + 1/2*c_0110_2^13 - 12*c_0110_2^12 - 16*c_0110_2^11 - 75/2*c_0110_2^10 - 23*c_0110_2^9 - 53*c_0110_2^8 - 365/2*c_0110_2^7 - 195/2*c_0110_2^6 - 39/2*c_0110_2^5 + 203/2*c_0110_2^4 + 18*c_0110_2^3 - 29/2*c_0110_2^2 - c_0110_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB