Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 812755985] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s331 geometric_solution 4.51439822 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 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 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 0.577410057759 0.344993489958 3 2 2 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 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 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 0.723738167179 0.762546508998 1 3 0 1 1230 3201 0132 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723738167179 0.762546508998 1 4 2 4 0132 0132 2310 1023 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.749235775378 1.117123980804 5 3 5 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.687365607692 0.357198661579 4 5 4 5 0132 2310 1023 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 0.755085954049 0.133986623062 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3202345/2241736*c_0101_5^8 + 17205831/2241736*c_0101_5^7 + 31616251/2241736*c_0101_5^6 - 35307813/320248*c_0101_5^5 + 304431387/2241736*c_0101_5^4 + 106890099/2241736*c_0101_5^3 - 17458941/80062*c_0101_5^2 + 450865263/2241736*c_0101_5 - 78655449/1120868, c_0011_0 - 1, c_0011_1 + 12449/40031*c_0101_2*c_0101_5^8 - 144449/80062*c_0101_2*c_0101_5^7 - 144525/80062*c_0101_2*c_0101_5^6 + 1782231/80062*c_0101_2*c_0101_5^5 - 3480549/80062*c_0101_2*c_0101_5^4 + 3167313/80062*c_0101_2*c_0101_5^3 - 1557335/80062*c_0101_2*c_0101_5^2 + 163170/40031*c_0101_2*c_0101_5 - 44967/80062*c_0101_2, c_0101_1 + 639/40031*c_0101_5^8 + 1867/40031*c_0101_5^7 - 28323/40031*c_0101_5^6 - 23612/40031*c_0101_5^5 + 227517/40031*c_0101_5^4 - 229514/40031*c_0101_5^3 + 68283/40031*c_0101_5^2 + 34962/40031*c_0101_5 - 20311/40031, c_0101_2^2 - 639/40031*c_0101_5^8 - 1867/40031*c_0101_5^7 + 28323/40031*c_0101_5^6 + 23612/40031*c_0101_5^5 - 227517/40031*c_0101_5^4 + 229514/40031*c_0101_5^3 - 68283/40031*c_0101_5^2 - 34962/40031*c_0101_5 - 19720/40031, c_0101_4 - 4148/40031*c_0101_5^8 + 16322/40031*c_0101_5^7 + 59816/40031*c_0101_5^6 - 211828/40031*c_0101_5^5 + 135990/40031*c_0101_5^4 + 58585/40031*c_0101_5^3 - 143865/40031*c_0101_5^2 + 46875/40031*c_0101_5 - 525/40031, c_0101_5^9 - 7*c_0101_5^8 + c_0101_5^7 + 79*c_0101_5^6 - 223*c_0101_5^5 + 289*c_0101_5^4 - 216*c_0101_5^3 + 93*c_0101_5^2 - 22*c_0101_5 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB