Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1292685664] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s208 geometric_solution 4.34242165 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 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 1.269708002284 1.035033554057 2 0 0 3 0132 0132 1023 0132 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 0.312762535090 0.288250010472 1 4 3 3 0132 0132 1302 3201 0 0 0 0 0 -1 1 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 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 0.215434611414 0.842779473168 2 2 1 4 2031 2310 0132 2310 0 0 0 0 0 -1 0 1 -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 -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 0.215434611414 0.842779473168 3 2 5 5 3201 0132 2310 0132 0 0 0 0 0 1 -1 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 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 1.925693416287 1.924162592767 5 4 4 5 3201 3201 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 0 -1 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 -0.559997823997 0.231828265696 ==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_5'], 'c_1100_4' : d['c_0011_5'], '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' : negation(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_3']), '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_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' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_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 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 794458536/79279241*c_0101_4^11 + 5750588581/79279241*c_0101_4^10 - 89593451/1086017*c_0101_4^9 - 18768004873/79279241*c_0101_4^8 + 23264395680/79279241*c_0101_4^7 + 379377835/1086017*c_0101_4^6 - 4088952943/79279241*c_0101_4^5 - 221425220/1086017*c_0101_4^4 - 24652508244/79279241*c_0101_4^3 + 6841379900/79279241*c_0101_4^2 + 2430710490/79279241*c_0101_4 + 5105708323/79279241, c_0011_0 - 1, c_0011_3 - 14874043/79279241*c_0101_4^11 - 111387311/79279241*c_0101_4^10 + 1307839/1086017*c_0101_4^9 + 380813939/79279241*c_0101_4^8 - 363544375/79279241*c_0101_4^7 - 9234187/1086017*c_0101_4^6 + 77160795/79279241*c_0101_4^5 + 4465491/1086017*c_0101_4^4 + 282463015/79279241*c_0101_4^3 - 32553859/79279241*c_0101_4^2 - 91534599/79279241*c_0101_4 + 19370356/79279241, c_0011_5 - 5325175/79279241*c_0101_4^11 - 41955021/79279241*c_0101_4^10 + 235060/1086017*c_0101_4^9 + 132003656/79279241*c_0101_4^8 - 110614563/79279241*c_0101_4^7 - 2361116/1086017*c_0101_4^6 - 36216217/79279241*c_0101_4^5 - 1398360/1086017*c_0101_4^4 + 83216735/79279241*c_0101_4^3 - 17263263/79279241*c_0101_4^2 + 91346789/79279241*c_0101_4 + 54488373/79279241, c_0101_0 + 9514520/79279241*c_0101_4^11 + 62759443/79279241*c_0101_4^10 - 1611019/1086017*c_0101_4^9 - 144295420/79279241*c_0101_4^8 + 339405583/79279241*c_0101_4^7 + 897671/1086017*c_0101_4^6 + 3438193/79279241*c_0101_4^5 - 1047047/1086017*c_0101_4^4 - 440510035/79279241*c_0101_4^3 + 100882336/79279241*c_0101_4^2 - 38234037/79279241*c_0101_4 + 129943120/79279241, c_0101_1 - 6396599/79279241*c_0101_4^11 - 36740027/79279241*c_0101_4^10 + 1792073/1086017*c_0101_4^9 + 136777557/79279241*c_0101_4^8 - 481293875/79279241*c_0101_4^7 - 1251939/1086017*c_0101_4^6 + 542830629/79279241*c_0101_4^5 + 3813300/1086017*c_0101_4^4 + 151321655/79279241*c_0101_4^3 - 380462632/79279241*c_0101_4^2 - 113746846/79279241*c_0101_4 - 49119649/79279241, c_0101_4^12 + 7*c_0101_4^11 - 10*c_0101_4^10 - 22*c_0101_4^9 + 35*c_0101_4^8 + 29*c_0101_4^7 - 14*c_0101_4^6 - 21*c_0101_4^5 - 27*c_0101_4^4 + 16*c_0101_4^3 + 2*c_0101_4^2 + 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB