Magma V2.19-8 Tue Aug 20 2013 16:16:48 on localhost [Seed = 3431813147] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1082 geometric_solution 4.95170343 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 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 1.308193980817 0.095796793136 2 0 0 2 0132 0132 1023 1023 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 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 1.549029735317 0.395807533838 1 3 4 1 0132 0132 0132 1023 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 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 0.010773744575 0.629758935966 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228178862538 0.721863168385 5 3 3 2 2310 1302 3201 0132 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 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 0.228178862538 0.721863168385 6 6 4 3 0132 2310 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350797154705 0.986016109113 5 6 6 5 0132 1230 3012 3201 0 0 0 0 0 -1 0 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 0 -1 0 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 -0.404418124414 0.497687872501 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 34 Groebner basis: [ t - 1323021777/5063075*c_0101_2*c_0101_3^16 + 1958786299/5063075*c_0101_2*c_0101_3^15 + 4306089454/1012615*c_0101_2*c_0101_3^14 + 24063066307/5063075*c_0101_2*c_0101_3^13 - 39020466794/5063075*c_0101_2*c_0101_3^12 - 106264392481/5063075*c_0101_2*c_0101_3^11 - 7760681909/1012615*c_0101_2*c_0101_3^10 + 113735654416/5063075*c_0101_2*c_0101_3^9 + 146953481707/5063075*c_0101_2*c_0101_3^8 + 360598756/5063075*c_0101_2*c_0101_3^7 - 105412290828/5063075*c_0101_2*c_0101_3^6 - 495623809/36425*c_0101_2*c_0101_3^5 + 15157374133/5063075*c_0101_2*c_0101_3^4 + 34285802651/5063075*c_0101_2*c_0101_3^3 + 10594002156/5063075*c_0101_2*c_0101_3^2 - 5265581316/5063075*c_0101_2*c_0101_3 - 2681127107/5063075*c_0101_2, c_0011_0 - 1, c_0011_4 - 1/5*c_0101_2*c_0101_3^16 + 2/5*c_0101_2*c_0101_3^15 + 3*c_0101_2*c_0101_3^14 + 11/5*c_0101_2*c_0101_3^13 - 32/5*c_0101_2*c_0101_3^12 - 63/5*c_0101_2*c_0101_3^11 - c_0101_2*c_0101_3^10 + 78/5*c_0101_2*c_0101_3^9 + 76/5*c_0101_2*c_0101_3^8 - 22/5*c_0101_2*c_0101_3^7 - 59/5*c_0101_2*c_0101_3^6 - 33/5*c_0101_2*c_0101_3^5 + 19/5*c_0101_2*c_0101_3^4 + 13/5*c_0101_2*c_0101_3^3 + 8/5*c_0101_2*c_0101_3^2 - 8/5*c_0101_2*c_0101_3 - 1/5*c_0101_2, c_0011_5 - 455662/1012615*c_0101_2*c_0101_3^16 + 429044/1012615*c_0101_2*c_0101_3^15 + 1510518/202523*c_0101_2*c_0101_3^14 + 12164392/1012615*c_0101_2*c_0101_3^13 - 4862034/1012615*c_0101_2*c_0101_3^12 - 32172711/1012615*c_0101_2*c_0101_3^11 - 5495283/202523*c_0101_2*c_0101_3^10 + 8545606/1012615*c_0101_2*c_0101_3^9 + 30069457/1012615*c_0101_2*c_0101_3^8 + 15812316/1012615*c_0101_2*c_0101_3^7 + 1380757/1012615*c_0101_2*c_0101_3^6 + 4491/7285*c_0101_2*c_0101_3^5 - 1457417/1012615*c_0101_2*c_0101_3^4 - 5266619/1012615*c_0101_2*c_0101_3^3 - 3887659/1012615*c_0101_2*c_0101_3^2 - 439491/1012615*c_0101_2*c_0101_3 + 637488/1012615*c_0101_2, c_0101_0 - 18916731/1012615*c_0101_2*c_0101_3^16 + 28349697/1012615*c_0101_2*c_0101_3^15 + 61621709/202523*c_0101_2*c_0101_3^14 + 337741506/1012615*c_0101_2*c_0101_3^13 - 576984957/1012615*c_0101_2*c_0101_3^12 - 1530043938/1012615*c_0101_2*c_0101_3^11 - 103447745/202523*c_0101_2*c_0101_3^10 + 1699742073/1012615*c_0101_2*c_0101_3^9 + 2128609376/1012615*c_0101_2*c_0101_3^8 - 58134937/1012615*c_0101_2*c_0101_3^7 - 1595230294/1012615*c_0101_2*c_0101_3^6 - 7260397/7285*c_0101_2*c_0101_3^5 + 251646259/1012615*c_0101_2*c_0101_3^4 + 526605918/1012615*c_0101_2*c_0101_3^3 + 159604268/1012615*c_0101_2*c_0101_3^2 - 81473808/1012615*c_0101_2*c_0101_3 - 42853366/1012615*c_0101_2, c_0101_1 + 8149322/1012615*c_0101_2*c_0101_3^16 - 10549679/1012615*c_0101_2*c_0101_3^15 - 26933968/202523*c_0101_2*c_0101_3^14 - 172517962/1012615*c_0101_2*c_0101_3^13 + 208777999/1012615*c_0101_2*c_0101_3^12 + 685285711/1012615*c_0101_2*c_0101_3^11 + 70449386/202523*c_0101_2*c_0101_3^10 - 629753646/1012615*c_0101_2*c_0101_3^9 - 983435292/1012615*c_0101_2*c_0101_3^8 - 152874911/1012615*c_0101_2*c_0101_3^7 + 603702193/1012615*c_0101_2*c_0101_3^6 + 3487879/7285*c_0101_2*c_0101_3^5 - 26101278/1012615*c_0101_2*c_0101_3^4 - 201846971/1012615*c_0101_2*c_0101_3^3 - 78690311/1012615*c_0101_2*c_0101_3^2 + 23270436/1012615*c_0101_2*c_0101_3 + 16232647/1012615*c_0101_2, c_0101_2^2 - 30617/202523*c_0101_3^16 - 27008/202523*c_0101_3^15 + 581796/202523*c_0101_3^14 + 1687096/202523*c_0101_3^13 + 899966/202523*c_0101_3^12 - 2861496/202523*c_0101_3^11 - 5592115/202523*c_0101_3^10 - 2573643/202523*c_0101_3^9 + 3482847/202523*c_0101_3^8 + 5933811/202523*c_0101_3^7 + 2547930/202523*c_0101_3^6 - 6534/1457*c_0101_3^5 - 2379086/202523*c_0101_3^4 - 1162240/202523*c_0101_3^3 - 211610/202523*c_0101_3^2 + 303063/202523*c_0101_3 + 84561/202523, c_0101_3^17 - c_0101_3^16 - 17*c_0101_3^15 - 26*c_0101_3^14 + 21*c_0101_3^13 + 95*c_0101_3^12 + 68*c_0101_3^11 - 73*c_0101_3^10 - 154*c_0101_3^9 - 54*c_0101_3^8 + 81*c_0101_3^7 + 92*c_0101_3^6 + 14*c_0101_3^5 - 32*c_0101_3^4 - 21*c_0101_3^3 + 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB