Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 2134827801] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s731 geometric_solution 5.24742323 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 0.425718608061 0.380264493912 2 0 3 0 0132 2310 0132 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 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.267744500269 0.786773029186 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436602045946 0.492679341807 5 4 2 1 0132 3201 0213 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436602045946 0.492679341807 4 4 3 2 1230 3012 2310 0132 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 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 0.992505518636 1.136897370412 3 5 2 5 0132 1302 0132 2031 0 0 0 0 0 0 0 0 1 0 -1 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479568319127 1.465653626273 ==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' : 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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 145669245/2299823*c_0101_4^13 + 286236212/2299823*c_0101_4^12 - 3072009404/2299823*c_0101_4^11 - 758748414/2299823*c_0101_4^10 + 15697280085/2299823*c_0101_4^9 - 2270265283/2299823*c_0101_4^8 - 29625623043/2299823*c_0101_4^7 + 2010819400/2299823*c_0101_4^6 + 27296988288/2299823*c_0101_4^5 + 5133152433/2299823*c_0101_4^4 - 12800853271/2299823*c_0101_4^3 - 5407144442/2299823*c_0101_4^2 + 2334078047/2299823*c_0101_4 + 920490213/2299823, c_0011_0 - 1, c_0011_1 + 2179898/2299823*c_0101_4^13 + 2616218/2299823*c_0101_4^12 - 49407132/2299823*c_0101_4^11 + 21873217/2299823*c_0101_4^10 + 243113451/2299823*c_0101_4^9 - 181988171/2299823*c_0101_4^8 - 417504263/2299823*c_0101_4^7 + 238705017/2299823*c_0101_4^6 + 401503039/2299823*c_0101_4^5 - 63661794/2299823*c_0101_4^4 - 222953263/2299823*c_0101_4^3 - 33163133/2299823*c_0101_4^2 + 47161751/2299823*c_0101_4 + 8852492/2299823, c_0011_3 + 780148/2299823*c_0101_4^13 + 3815150/2299823*c_0101_4^12 - 9315809/2299823*c_0101_4^11 - 43724158/2299823*c_0101_4^10 + 26904435/2299823*c_0101_4^9 + 164844964/2299823*c_0101_4^8 + 1909640/2299823*c_0101_4^7 - 253732962/2299823*c_0101_4^6 - 97656964/2299823*c_0101_4^5 + 145288526/2299823*c_0101_4^4 + 112790393/2299823*c_0101_4^3 - 11740375/2299823*c_0101_4^2 - 30342131/2299823*c_0101_4 - 2756397/2299823, c_0011_4 - 285505/2299823*c_0101_4^13 - 735388/2299823*c_0101_4^12 + 6307600/2299823*c_0101_4^11 + 6168693/2299823*c_0101_4^10 - 42642957/2299823*c_0101_4^9 - 10735289/2299823*c_0101_4^8 + 111617847/2299823*c_0101_4^7 - 7536881/2299823*c_0101_4^6 - 105676020/2299823*c_0101_4^5 - 4501320/2299823*c_0101_4^4 + 49621519/2299823*c_0101_4^3 + 12779421/2299823*c_0101_4^2 - 15239590/2299823*c_0101_4 - 1042807/2299823, c_0101_1 + 1549212/2299823*c_0101_4^13 + 4804828/2299823*c_0101_4^12 - 26979189/2299823*c_0101_4^11 - 37998871/2299823*c_0101_4^10 + 119870940/2299823*c_0101_4^9 + 106357329/2299823*c_0101_4^8 - 178672818/2299823*c_0101_4^7 - 165136467/2299823*c_0101_4^6 + 86589284/2299823*c_0101_4^5 + 123907415/2299823*c_0101_4^4 + 1781792/2299823*c_0101_4^3 - 29183386/2299823*c_0101_4^2 - 2429978/2299823*c_0101_4 + 605274/2299823, c_0101_4^14 + 2*c_0101_4^13 - 21*c_0101_4^12 - 6*c_0101_4^11 + 107*c_0101_4^10 - 10*c_0101_4^9 - 202*c_0101_4^8 - 2*c_0101_4^7 + 188*c_0101_4^6 + 53*c_0101_4^5 - 86*c_0101_4^4 - 47*c_0101_4^3 + 12*c_0101_4^2 + 9*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB