Magma V2.19-8 Tue Aug 20 2013 16:17:57 on localhost [Seed = 2160139333] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2189 geometric_solution 5.64748457 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 -0.358843523589 1.054075488524 0 3 4 4 0132 2310 2031 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 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287783214682 0.896166712565 0 0 5 5 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 1.289426394450 0.850167964773 5 6 0 1 0213 0132 0132 3201 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 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 0.444236738687 0.332381795847 6 5 1 1 3120 1302 0132 1302 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 -1 0 1 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 0.208930960311 0.432097576166 3 2 2 4 0213 3201 0132 2031 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 -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 0.725478992642 0.306160360441 6 3 6 4 2031 0132 1302 3120 0 0 0 0 0 1 -1 0 1 0 -1 0 1 0 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768088986651 0.397983246354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0011_5, c_0101_2, c_0110_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 594769517/1045118720*c_0110_4^13 + 3950342827/522559360*c_0110_4^11 - 10647312891/209023744*c_0110_4^9 + 9402369407/52255936*c_0110_4^7 - 159777589817/522559360*c_0110_4^5 + 224353940241/1045118720*c_0110_4^3 - 12956408871/130639840*c_0110_4, c_0011_0 - 1, c_0011_3 + 301405/26127968*c_0110_4^13 - 2058843/13063984*c_0110_4^11 + 28470359/26127968*c_0110_4^9 - 26120955/6531992*c_0110_4^7 + 95518505/13063984*c_0110_4^5 - 144885729/26127968*c_0110_4^3 + 6792363/3265996*c_0110_4, c_0011_4 - 336379/26127968*c_0110_4^13 + 2287645/13063984*c_0110_4^11 - 30732241/26127968*c_0110_4^9 + 26895797/6531992*c_0110_4^7 - 83899839/13063984*c_0110_4^5 + 70747511/26127968*c_0110_4^3 - 2111189/3265996*c_0110_4, c_0011_5 - 48859/6531992*c_0110_4^12 + 289569/3265996*c_0110_4^10 - 3646585/6531992*c_0110_4^8 + 2831255/1632998*c_0110_4^6 - 8378355/3265996*c_0110_4^4 + 14716039/6531992*c_0110_4^2 - 1141480/816499, c_0101_2 - 1, c_0110_3 - 10527/3265996*c_0110_4^12 + 85117/1632998*c_0110_4^10 - 1249521/3265996*c_0110_4^8 + 1301578/816499*c_0110_4^6 - 5366525/1632998*c_0110_4^4 + 10913431/3265996*c_0110_4^2 - 915127/816499, c_0110_4^14 - 14*c_0110_4^12 + 99*c_0110_4^10 - 380*c_0110_4^8 + 762*c_0110_4^6 - 757*c_0110_4^4 + 440*c_0110_4^2 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB