Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 2699115647] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1441 geometric_solution 5.26552585 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 0 0 0 0 0 -1 0 1 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 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 -0.538043369224 0.365066177110 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 -1 1 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 0.308294493572 0.421842382780 2 0 0 2 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 2.110754646261 0.268049024430 4 5 1 4 1230 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.738870785959 0.669741460745 6 3 3 1 0132 3012 2031 0132 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 1 -1 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 0.738870785959 0.669741460745 6 3 6 6 1023 0132 2031 3012 0 1 0 0 0 0 1 -1 1 0 0 -1 -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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505337611852 1.296084590052 4 5 5 5 0132 1023 1230 1302 1 0 0 0 0 -1 1 0 0 0 0 0 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 0 1 -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 0.505337611852 1.296084590052 ==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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], '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_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), '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_0011_3'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(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_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 23181590664843/1770394843088*c_0101_4^10 + 5221333698939/442598710772*c_0101_4^9 - 40352766673469/93178675952*c_0101_4^8 - 552909366361083/885197421544*c_0101_4^7 + 1929252939005939/1770394843088*c_0101_4^6 - 100116023570857/23294668988*c_0101_4^5 - 50838538731407/93178675952*c_0101_4^4 + 2121773356240445/1770394843088*c_0101_4^3 + 615708853108433/885197421544*c_0101_4^2 - 15722506269631/885197421544*c_0101_4 - 122918298002583/1770394843088, c_0011_0 - 1, c_0011_3 - 21395976815/442598710772*c_0101_4^10 - 1186522652/110649677693*c_0101_4^9 + 716199624647/442598710772*c_0101_4^8 + 267409999657/221299355386*c_0101_4^7 - 2326425722251/442598710772*c_0101_4^6 + 2121948666998/110649677693*c_0101_4^5 - 4153786307463/442598710772*c_0101_4^4 - 1143205868725/442598710772*c_0101_4^3 + 342999028685/221299355386*c_0101_4^2 + 304573428295/221299355386*c_0101_4 - 59279426137/442598710772, c_0101_0 + 6472651927/221299355386*c_0101_4^10 + 7118842390/110649677693*c_0101_4^9 - 213137001949/221299355386*c_0101_4^8 - 295703368463/110649677693*c_0101_4^7 + 357288228245/221299355386*c_0101_4^6 - 577888259730/110649677693*c_0101_4^5 - 3607747898275/221299355386*c_0101_4^4 + 2618864701147/221299355386*c_0101_4^3 + 443522804992/110649677693*c_0101_4^2 + 82643636509/110649677693*c_0101_4 - 118831097573/221299355386, c_0101_1 + 21395976815/442598710772*c_0101_4^10 + 1186522652/110649677693*c_0101_4^9 - 716199624647/442598710772*c_0101_4^8 - 267409999657/221299355386*c_0101_4^7 + 2326425722251/442598710772*c_0101_4^6 - 2121948666998/110649677693*c_0101_4^5 + 4153786307463/442598710772*c_0101_4^4 + 1143205868725/442598710772*c_0101_4^3 - 342999028685/221299355386*c_0101_4^2 - 525872783681/221299355386*c_0101_4 + 59279426137/442598710772, c_0101_2 + 161004622531/442598710772*c_0101_4^10 + 35722905085/110649677693*c_0101_4^9 - 5316383289559/442598710772*c_0101_4^8 - 3800590255737/221299355386*c_0101_4^7 + 13152122223507/442598710772*c_0101_4^6 - 13366037545050/110649677693*c_0101_4^5 - 5071421780949/442598710772*c_0101_4^4 + 11077354610141/442598710772*c_0101_4^3 + 4303430021739/221299355386*c_0101_4^2 + 190633686869/221299355386*c_0101_4 - 708072020495/442598710772, c_0101_4^11 + c_0101_4^10 - 33*c_0101_4^9 - 51*c_0101_4^8 + 79*c_0101_4^7 - 319*c_0101_4^6 - 75*c_0101_4^5 + 92*c_0101_4^4 + 65*c_0101_4^3 + 4*c_0101_4^2 - 7*c_0101_4 - 1, c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB