Magma V2.19-8 Tue Aug 20 2013 16:18:02 on localhost [Seed = 1494795668] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2258 geometric_solution 5.68694120 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 1 -1 0 0 0 0 0 -1 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 -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 1.386263947433 0.258504125263 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -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 1.079350499774 0.930751417534 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 -1 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 0.197591047279 0.572781497006 2 6 4 1 2031 0132 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 0 0 0 1 0 0 -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 0.197591047279 0.572781497006 2 3 5 6 0132 3201 3012 3012 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 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 -0.289202724084 0.609179910745 6 4 2 6 0321 1230 0132 2103 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 -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 0.188895851466 0.695146660730 5 3 4 5 0321 0132 1230 2103 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 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 0.188895851466 0.695146660730 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : 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_3']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_1001_1']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(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' : d['c_0011_0'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1/13*c_0101_4^2 + 7/13*c_0101_4 - 8/13, c_0011_0 - 1, c_0011_3 + c_0011_5 - 1, c_0011_5^2 - c_0011_5 + c_0101_4^2 + 1, c_0101_0 + c_0101_4^2 - c_0101_4 - 2, c_0101_1 - c_0101_4^2 + 2*c_0101_4 + 1, c_0101_4^3 - 2*c_0101_4^2 - c_0101_4 + 1, c_1001_1 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3636359093/27701271296*c_1001_1^11 + 163406294905/166207627776*c_1001_1^10 - 35132003861/10387976736*c_1001_1^9 + 59010630805/13850635648*c_1001_1^8 - 9984715613/5193988368*c_1001_1^7 + 197467264105/55402542592*c_1001_1^6 + 3571404571/2246049024*c_1001_1^5 - 138365524471/3462658912*c_1001_1^4 + 755109804613/10387976736*c_1001_1^3 - 800707848821/10387976736*c_1001_1^2 + 204260711021/5193988368*c_1001_1 - 12368695165/649248546, c_0011_0 - 1, c_0011_3 - 5607591/748683008*c_1001_1^11 + 101905047/1497366016*c_1001_1^10 - 1383655997/4492098048*c_1001_1^9 + 1165913805/1497366016*c_1001_1^8 - 2243026631/1497366016*c_1001_1^7 + 389913541/140378064*c_1001_1^6 - 1291953095/280756128*c_1001_1^5 + 3173348291/561512256*c_1001_1^4 - 1497496231/280756128*c_1001_1^3 + 28150369/8773629*c_1001_1^2 - 82917995/35094516*c_1001_1 + 27073309/35094516, c_0011_5 - 5607591/748683008*c_1001_1^11 + 101905047/1497366016*c_1001_1^10 - 1383655997/4492098048*c_1001_1^9 + 1165913805/1497366016*c_1001_1^8 - 2243026631/1497366016*c_1001_1^7 + 389913541/140378064*c_1001_1^6 - 1291953095/280756128*c_1001_1^5 + 3173348291/561512256*c_1001_1^4 - 1497496231/280756128*c_1001_1^3 + 28150369/8773629*c_1001_1^2 - 82917995/35094516*c_1001_1 + 27073309/35094516, c_0101_0 + 44776295/748683008*c_1001_1^11 - 2621768953/4492098048*c_1001_1^10 + 12643370359/4492098048*c_1001_1^9 - 11653145883/1497366016*c_1001_1^8 + 70674417979/4492098048*c_1001_1^7 - 65346193465/2246049024*c_1001_1^6 + 9150662885/187170752*c_1001_1^5 - 8971480829/140378064*c_1001_1^4 + 5874056381/93585376*c_1001_1^3 - 1938259765/46792688*c_1001_1^2 + 212083879/11698172*c_1001_1 - 30249158/8773629, c_0101_1 - 56392793/748683008*c_1001_1^11 + 3703774039/4492098048*c_1001_1^10 - 19472211641/4492098048*c_1001_1^9 + 19791546505/1497366016*c_1001_1^8 - 124715896969/4492098048*c_1001_1^7 + 37898571687/748683008*c_1001_1^6 - 98159974081/1123024512*c_1001_1^5 + 22824489745/187170752*c_1001_1^4 - 34220680865/280756128*c_1001_1^3 + 11729302397/140378064*c_1001_1^2 - 2535111581/70189032*c_1001_1 + 336345085/35094516, c_0101_4 - 20519087/748683008*c_1001_1^11 + 927000709/4492098048*c_1001_1^10 - 3168062905/4492098048*c_1001_1^9 + 1265664121/1497366016*c_1001_1^8 - 665761249/4492098048*c_1001_1^7 + 194395343/1123024512*c_1001_1^6 + 242466013/187170752*c_1001_1^5 - 5723277259/561512256*c_1001_1^4 + 1686633119/93585376*c_1001_1^3 - 438689707/23396344*c_1001_1^2 + 28177924/2924543*c_1001_1 - 128286877/35094516, c_1001_1^12 - 59/6*c_1001_1^11 + 287/6*c_1001_1^10 - 805/6*c_1001_1^9 + 1655/6*c_1001_1^8 - 1550/3*c_1001_1^7 + 2636/3*c_1001_1^6 - 1176*c_1001_1^5 + 3616/3*c_1001_1^4 - 2656/3*c_1001_1^3 + 1472/3*c_1001_1^2 - 512/3*c_1001_1 + 128/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB