Magma V2.19-8 Tue Aug 20 2013 16:14:43 on localhost [Seed = 2227509400] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s695 geometric_solution 5.19897591 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 3201 2310 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734478973803 0.830624955649 0 3 2 4 0132 0132 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246952078241 0.839372055131 1 4 0 3 2310 1023 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0.246952078241 0.839372055131 5 1 5 2 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964131844761 1.026735674608 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.322589353715 1.096457623358 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496074995747 0.202000465599 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : 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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 49784694369298/2004273702491*c_0101_5^14 + 122122097147225/2004273702491*c_0101_5^13 + 137738757940706/2004273702491*c_0101_5^12 - 410426441265504/2004273702491*c_0101_5^11 + 144225538653575/2004273702491*c_0101_5^10 - 110786854136337/2004273702491*c_0101_5^9 - 223718994464086/2004273702491*c_0101_5^8 + 851969726987443/2004273702491*c_0101_5^7 - 706794345506691/2004273702491*c_0101_5^6 + 115505093026465/2004273702491*c_0101_5^5 + 247333790450157/2004273702491*c_0101_5^4 - 2124973772441/48884724451*c_0101_5^3 + 243160941411845/2004273702491*c_0101_5^2 + 43856180372306/2004273702491*c_0101_5 - 75229926349659/2004273702491, c_0011_0 - 1, c_0011_2 + 5012735712054/2004273702491*c_0101_5^14 - 9900361913353/2004273702491*c_0101_5^13 - 10964147268046/2004273702491*c_0101_5^12 + 20984004549614/2004273702491*c_0101_5^11 - 14016337743962/2004273702491*c_0101_5^10 + 21698677332938/2004273702491*c_0101_5^9 + 5817814861086/2004273702491*c_0101_5^8 - 35069894770564/2004273702491*c_0101_5^7 + 28937762599055/2004273702491*c_0101_5^6 + 427148051627/2004273702491*c_0101_5^5 - 8129072787703/2004273702491*c_0101_5^4 + 160155455906/48884724451*c_0101_5^3 - 9515038889129/2004273702491*c_0101_5^2 - 6010201309098/2004273702491*c_0101_5 + 2590567452696/2004273702491, c_0101_0 + 3410479480695/2004273702491*c_0101_5^14 - 4985323691306/2004273702491*c_0101_5^13 - 11362014627280/2004273702491*c_0101_5^12 + 11765069389647/2004273702491*c_0101_5^11 - 1639766243179/2004273702491*c_0101_5^10 + 6790725564715/2004273702491*c_0101_5^9 + 12786609294824/2004273702491*c_0101_5^8 - 25110428510376/2004273702491*c_0101_5^7 + 9375659097792/2004273702491*c_0101_5^6 + 14105128440997/2004273702491*c_0101_5^5 - 9130949349294/2004273702491*c_0101_5^4 + 143813741097/48884724451*c_0101_5^3 - 4969852655416/2004273702491*c_0101_5^2 - 7273795638829/2004273702491*c_0101_5 + 966071314984/2004273702491, c_0101_1 + 1533679679/312825613*c_0101_5^14 - 2984079377/312825613*c_0101_5^13 - 3669665565/312825613*c_0101_5^12 + 6868897005/312825613*c_0101_5^11 - 3810026092/312825613*c_0101_5^10 + 5598033802/312825613*c_0101_5^9 + 2593632962/312825613*c_0101_5^8 - 12421691357/312825613*c_0101_5^7 + 9646254830/312825613*c_0101_5^6 + 1043626931/312825613*c_0101_5^5 - 3586430307/312825613*c_0101_5^4 + 76288437/7629893*c_0101_5^3 - 3880773222/312825613*c_0101_5^2 - 1469233815/312825613*c_0101_5 + 1068056203/312825613, c_0101_3 - 859567163/312825613*c_0101_5^14 + 1968524362/312825613*c_0101_5^13 + 1375890451/312825613*c_0101_5^12 - 4063339160/312825613*c_0101_5^11 + 3067191740/312825613*c_0101_5^10 - 4668578292/312825613*c_0101_5^9 + 1002086324/312825613*c_0101_5^8 + 5675015267/312825613*c_0101_5^7 - 6217951481/312825613*c_0101_5^6 + 1321631164/312825613*c_0101_5^5 + 128447699/312825613*c_0101_5^4 - 3967084/7629893*c_0101_5^3 + 2110639642/312825613*c_0101_5^2 + 299513421/312825613*c_0101_5 - 341892406/312825613, c_0101_5^15 - 17/7*c_0101_5^14 - 9/7*c_0101_5^13 + 36/7*c_0101_5^12 - 32/7*c_0101_5^11 + 39/7*c_0101_5^10 - 9/7*c_0101_5^9 - 50/7*c_0101_5^8 + 9*c_0101_5^7 - 19/7*c_0101_5^6 - c_0101_5^5 + 10/7*c_0101_5^4 - 18/7*c_0101_5^3 + 1/7*c_0101_5^2 + 5/7*c_0101_5 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB