Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 54697791] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s033 geometric_solution 3.57107864 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 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 1.585744683544 0.115235860164 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 -2 2 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 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.433947538321 0.288845894121 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 1 -1 1 -1 0 0 1 -2 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 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234662043495 1.036612836483 2 5 4 4 0132 0132 1302 2031 0 0 0 0 0 0 1 -1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256216009772 0.260019174341 3 3 2 5 2031 1302 0132 2310 0 0 0 0 0 0 1 -1 -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 0 0 0 0 0.256216009772 0.260019174341 4 3 5 5 3201 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077273609484 1.951266546500 ==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' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 64783881263/202073653376*c_0101_5^13 - 2596572682041/101036826688*c_0101_5^11 - 43281582054491/202073653376*c_0101_5^9 - 135601250364653/202073653376*c_0101_5^7 - 25537375026011/28867664768*c_0101_5^5 - 3319763283465/7216916192*c_0101_5^3 - 5435106911/12629603336*c_0101_5, c_0011_0 - 1, c_0011_1 - 38182909/12629603336*c_0101_5^12 + 382478750/1578700417*c_0101_5^10 + 25640930421/12629603336*c_0101_5^8 + 76003645357/12629603336*c_0101_5^6 + 83642301137/12629603336*c_0101_5^4 + 11952700079/6314801668*c_0101_5^2 - 87985092/225528631, c_0011_4 - 4792631/12629603336*c_0101_5^12 + 7616349/225528631*c_0101_5^10 - 239288465/12629603336*c_0101_5^8 - 14412268561/12629603336*c_0101_5^6 - 44262992605/12629603336*c_0101_5^4 - 16534953487/6314801668*c_0101_5^2 - 260996328/1578700417, c_0101_0 + 534111923/25259206672*c_0101_5^13 - 764785055/451057262*c_0101_5^11 - 355767893595/25259206672*c_0101_5\ ^9 - 1111457057411/25259206672*c_0101_5^7 - 1469006512047/25259206672*c_0101_5^5 - 394791865729/12629603336*c_0101_5^3 - 4256760201/3157400834*c_0101_5, c_0101_2 + 238170887/25259206672*c_0101_5^13 - 4785460095/6314801668*c_0101_5^11 - 155073480687/25259206672*c_0101_5^9 - 469657850339/25259206672*c_0101_5^7 - 582028208687/25259206672*c_0101_5^5 - 144392132235/12629603336*c_0101_5^3 - 154002202/1578700417*c_0101_5, c_0101_5^14 - 80*c_0101_5^12 - 681*c_0101_5^10 - 2201*c_0101_5^8 - 3101*c_0101_5^6 - 1902*c_0101_5^4 - 280*c_0101_5^2 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB