Magma V2.19-8 Tue Aug 20 2013 16:17:51 on localhost [Seed = 3137021529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2088 geometric_solution 5.59793258 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.423302864371 0.392300756889 0 2 3 0 3201 0132 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 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 0.919216949050 0.313213819102 4 1 3 5 0132 0132 1302 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 -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 0.772671789812 0.648039457928 2 6 4 1 2031 0132 1023 0132 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 -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 0.772671789812 0.648039457928 2 6 3 5 0132 3201 1023 3201 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 -1 1 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 0.723031372150 0.282700866311 6 4 2 6 3012 2310 0132 3120 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 0 0 0 0 0 0 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 0.959626862352 1.081744527446 5 3 4 5 3120 0132 2310 1230 0 0 0 0 0 -1 0 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 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 0.959626862352 1.081744527446 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : 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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_1001_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 42979154831/5312438600*c_1001_1^11 + 163384533589/5312438600*c_1001_1^10 - 68232204197/5312438600*c_1001_1^9 - 92064473229/379459900*c_1001_1^8 + 373933945167/2656219300*c_1001_1^7 + 247149437221/758919800*c_1001_1^6 - 3494068137881/5312438600*c_1001_1^5 - 15475500209/106248772*c_1001_1^4 + 1624320772299/2656219300*c_1001_1^3 - 134497377699/758919800*c_1001_1^2 - 705357446883/5312438600*c_1001_1 - 34377892383/5312438600, c_0011_0 - 1, c_0011_1 + 1053751/30356792*c_1001_1^11 - 5899091/30356792*c_1001_1^10 + 11503741/30356792*c_1001_1^9 + 3940803/7589198*c_1001_1^8 - 6906480/3794599*c_1001_1^7 + 38564099/30356792*c_1001_1^6 + 78313409/30356792*c_1001_1^5 - 13550116/3794599*c_1001_1^4 - 401698/3794599*c_1001_1^3 + 71900435/30356792*c_1001_1^2 - 5853957/30356792*c_1001_1 - 30593263/30356792, c_0011_3 + 823611/30356792*c_1001_1^11 - 4043475/30356792*c_1001_1^10 + 2539621/30356792*c_1001_1^9 + 8259331/7589198*c_1001_1^8 - 13082899/7589198*c_1001_1^7 - 71576633/30356792*c_1001_1^6 + 165832461/30356792*c_1001_1^5 - 10408691/7589198*c_1001_1^4 - 27416359/3794599*c_1001_1^3 + 127828211/30356792*c_1001_1^2 + 32233787/30356792*c_1001_1 - 34337747/30356792, c_0101_0 + 468521/30356792*c_1001_1^11 + 197367/30356792*c_1001_1^10 - 10383221/30356792*c_1001_1^9 + 4263699/3794599*c_1001_1^8 + 7155525/7589198*c_1001_1^7 - 132323207/30356792*c_1001_1^6 + 77815623/30356792*c_1001_1^5 + 43178135/7589198*c_1001_1^4 - 55736633/7589198*c_1001_1^3 - 14121599/30356792*c_1001_1^2 + 124900965/30356792*c_1001_1 - 10189765/30356792, c_0101_3 - 823611/30356792*c_1001_1^11 + 4043475/30356792*c_1001_1^10 - 2539621/30356792*c_1001_1^9 - 8259331/7589198*c_1001_1^8 + 13082899/7589198*c_1001_1^7 + 71576633/30356792*c_1001_1^6 - 165832461/30356792*c_1001_1^5 + 10408691/7589198*c_1001_1^4 + 27416359/3794599*c_1001_1^3 - 127828211/30356792*c_1001_1^2 - 32233787/30356792*c_1001_1 + 34337747/30356792, c_0101_4 - 1262853/15178396*c_1001_1^11 + 2033015/7589198*c_1001_1^10 + 1782973/15178396*c_1001_1^9 - 43889201/15178396*c_1001_1^8 + 7168703/15178396*c_1001_1^7 + 42157947/7589198*c_1001_1^6 - 113225967/15178396*c_1001_1^5 - 65943725/15178396*c_1001_1^4 + 146790127/15178396*c_1001_1^3 - 20844689/7589198*c_1001_1^2 - 28651941/15178396*c_1001_1 + 7101587/7589198, c_1001_1^12 - 4*c_1001_1^11 + 2*c_1001_1^10 + 31*c_1001_1^9 - 24*c_1001_1^8 - 47*c_1001_1^7 + 96*c_1001_1^6 + 15*c_1001_1^5 - 108*c_1001_1^4 + 33*c_1001_1^3 + 38*c_1001_1^2 - 12*c_1001_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB