Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 997894105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0523 geometric_solution 4.53630709 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -2 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 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 -0.416759550318 0.454958870006 2 0 4 3 3201 0132 0132 0132 0 0 0 0 0 2 -1 -1 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 -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 0.657166868926 0.977956320808 3 4 0 1 1023 1230 0132 2310 0 0 0 0 0 1 -1 0 0 0 -1 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 -1 1 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 3.094787811742 1.195133801605 4 2 1 5 0321 1023 0132 0132 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 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 0.895927487261 0.410465183233 3 5 2 1 0321 3120 3012 0132 0 0 0 0 0 -1 0 1 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 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 0.861035983986 0.849939247845 6 4 3 6 0132 3120 0132 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -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 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 1.153555911236 0.420173188928 5 6 6 5 0132 1230 3012 1023 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 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 1.547284020722 0.254685428846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : 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' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : 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' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0011_4, c_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3451/4*c_0101_6^15 - 26875/4*c_0101_6^13 + 97809/4*c_0101_6^11 - 132783/2*c_0101_6^9 + 478187/4*c_0101_6^7 - 387661/4*c_0101_6^5 + 66871/2*c_0101_6^3 - 15729/4*c_0101_6, c_0011_0 - 1, c_0011_2 + 61/4*c_0101_6^15 - 461/4*c_0101_6^13 + 1627/4*c_0101_6^11 - 2175/2*c_0101_6^9 + 7553/4*c_0101_6^7 - 5379/4*c_0101_6^5 + 777/2*c_0101_6^3 - 147/4*c_0101_6, c_0011_4 + 30*c_0101_6^14 - 231*c_0101_6^12 + 831*c_0101_6^10 - 2243*c_0101_6^8 + 3985*c_0101_6^6 - 3085*c_0101_6^4 + 999*c_0101_6^2 - 109, c_0011_5 + 117/4*c_0101_6^14 - 905/4*c_0101_6^12 + 3271/4*c_0101_6^10 - 4425/2*c_0101_6^8 + 15809/4*c_0101_6^6 - 12475/4*c_0101_6^4 + 2073/2*c_0101_6^2 - 463/4, c_0101_2 + 111/4*c_0101_6^15 - 859/4*c_0101_6^13 + 3105/4*c_0101_6^11 - 4199/2*c_0101_6^9 + 14999/4*c_0101_6^7 - 11813/4*c_0101_6^5 + 1931/2*c_0101_6^3 - 417/4*c_0101_6, c_0101_3 - 21/4*c_0101_6^14 + 173/4*c_0101_6^12 - 663/4*c_0101_6^10 + 921/2*c_0101_6^8 - 3497/4*c_0101_6^6 + 3303/4*c_0101_6^4 - 641/2*c_0101_6^2 + 155/4, c_0101_6^16 - 8*c_0101_6^14 + 30*c_0101_6^12 - 83*c_0101_6^10 + 155*c_0101_6^8 - 142*c_0101_6^6 + 63*c_0101_6^4 - 13*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB