Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 122067905] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0298 geometric_solution 4.34049697 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 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 0 -1 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 0.716836524815 0.049400387309 0 2 0 2 0132 0132 1023 1023 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 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 0.469857405187 0.170013284083 3 1 3 1 0132 0132 2310 1023 0 0 0 0 0 0 0 0 1 0 0 -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 0 -1 1 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 -0.794524370392 3.928558017452 2 2 5 4 0132 3201 0132 0132 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 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 -0.160911409741 0.455303576888 6 5 3 5 0132 3012 0132 1302 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 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 0.879986067767 0.833852427596 4 6 4 3 1230 2310 2031 0132 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 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 0.879986067767 0.833852427596 4 6 6 5 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.401241859365 0.567367992971 ==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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 4652/1139*c_0101_6^10 - 15094/1139*c_0101_6^9 + 20642/1139*c_0101_6^8 + 81504/1139*c_0101_6^7 + 29520/1139*c_0101_6^6 - 56426/1139*c_0101_6^5 - 132287/1139*c_0101_6^4 - 51647/1139*c_0101_6^3 + 34090/1139*c_0101_6^2 + 48417/1139*c_0101_6 + 31996/1139, c_0011_0 - 1, c_0011_4 + 53/1139*c_0101_2*c_0101_6^10 - 328/1139*c_0101_2*c_0101_6^9 - 2118/1139*c_0101_2*c_0101_6^8 + 563/1139*c_0101_2*c_0101_6^7 + 9330/1139*c_0101_2*c_0101_6^6 + 5643/1139*c_0101_2*c_0101_6^5 - 2627/1139*c_0101_2*c_0101_6^4 - 6143/1139*c_0101_2*c_0101_6^3 - 7739/1139*c_0101_2*c_0101_6^2 - 2918/1139*c_0101_2*c_0101_6 - 532/1139*c_0101_2, c_0101_0 + 183/1139*c_0101_2*c_0101_6^10 + 1081/1139*c_0101_2*c_0101_6^9 + 445/1139*c_0101_2*c_0101_6^8 - 6158/1139*c_0101_2*c_0101_6^7 - 6726/1139*c_0101_2*c_0101_6^6 + 5408/1139*c_0101_2*c_0101_6^5 + 4404/1139*c_0101_2*c_0101_6^4 + 2171/1139*c_0101_2*c_0101_6^3 + 1861/1139*c_0101_2*c_0101_6^2 - 641/1139*c_0101_2*c_0101_6 + 1795/1139*c_0101_2, c_0101_1 + 2013/1139*c_0101_2*c_0101_6^10 + 5057/1139*c_0101_2*c_0101_6^9 - 14468/1139*c_0101_2*c_0101_6^8 - 29012/1139*c_0101_2*c_0101_6^7 + 21690/1139*c_0101_2*c_0101_6^6 + 31013/1139*c_0101_2*c_0101_6^5 + 13135/1139*c_0101_2*c_0101_6^4 - 3455/1139*c_0101_2*c_0101_6^3 - 15977/1139*c_0101_2*c_0101_6^2 - 4773/1139*c_0101_2*c_0101_6 - 1896/1139*c_0101_2, c_0101_2^2 + 197/1139*c_0101_6^10 + 672/1139*c_0101_6^9 - 1189/1139*c_0101_6^8 - 4376/1139*c_0101_6^7 + 1498/1139*c_0101_6^6 + 5996/1139*c_0101_6^5 + 465/1139*c_0101_6^4 - 999/1139*c_0101_6^3 - 785/1139*c_0101_6^2 - 939/1139*c_0101_6 - 688/1139, c_0101_5 - 148/1139*c_0101_6^10 - 395/1139*c_0101_6^9 + 1165/1139*c_0101_6^8 + 2640/1139*c_0101_6^7 - 2328/1139*c_0101_6^6 - 3938/1139*c_0101_6^5 - 14/1139*c_0101_6^4 + 155/1139*c_0101_6^3 + 636/1139*c_0101_6^2 + 1035/1139*c_0101_6 + 540/1139, c_0101_6^11 + 3*c_0101_6^10 - 6*c_0101_6^9 - 18*c_0101_6^8 + 4*c_0101_6^7 + 21*c_0101_6^6 + 14*c_0101_6^5 + 2*c_0101_6^4 - 10*c_0101_6^3 - 8*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB