Magma V2.19-8 Tue Aug 20 2013 16:14:16 on localhost [Seed = 3633923320] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s246 geometric_solution 4.41223204 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805781898751 0.136949463474 0 1 0 1 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 0.845325378966 0.073119363087 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 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 -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 0.786241348299 0.445505088580 2 5 4 4 0132 0132 3012 2310 0 0 0 0 0 0 -1 1 -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 -1 1 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 0.734545332586 1.089793288328 3 3 5 2 3201 1230 1023 0132 0 0 0 0 0 0 -1 1 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 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 0.734545332586 1.089793288328 5 3 4 5 3012 0132 1023 1230 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 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 0.734545332586 1.089793288328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], '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_0101_3'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0101_3']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4617435/353113*c_0101_3^13 - 1698721/353113*c_0101_3^12 - 3314121/353113*c_0101_3^11 + 15351256/353113*c_0101_3^10 - 10256530/353113*c_0101_3^9 - 68111701/353113*c_0101_3^8 - 140775670/353113*c_0101_3^7 + 144026737/353113*c_0101_3^6 + 435762369/353113*c_0101_3^5 - 146070004/353113*c_0101_3^4 - 368437067/353113*c_0101_3^3 + 53516531/353113*c_0101_3^2 + 79515938/353113*c_0101_3 + 10265574/353113, c_0011_0 - 1, c_0011_4 + 759144/353113*c_0101_3^13 - 367395/353113*c_0101_3^12 - 575550/353113*c_0101_3^11 + 2405248/353113*c_0101_3^10 - 1833968/353113*c_0101_3^9 - 11352980/353113*c_0101_3^8 - 22180797/353113*c_0101_3^7 + 27572735/353113*c_0101_3^6 + 73215467/353113*c_0101_3^5 - 27881284/353113*c_0101_3^4 - 67739107/353113*c_0101_3^3 + 6877820/353113*c_0101_3^2 + 17756085/353113*c_0101_3 + 2679435/353113, c_0101_0 - 602911/353113*c_0101_3^13 + 252669/353113*c_0101_3^12 + 457874/353113*c_0101_3^11 - 1896662/353113*c_0101_3^10 + 1323953/353113*c_0101_3^9 + 9077206/353113*c_0101_3^8 + 18098340/353113*c_0101_3^7 - 20466038/353113*c_0101_3^6 - 58793329/353113*c_0101_3^5 + 18781726/353113*c_0101_3^4 + 53735081/353113*c_0101_3^3 - 3692493/353113*c_0101_3^2 - 13290345/353113*c_0101_3 - 2184224/353113, c_0101_1 - 459866/353113*c_0101_3^13 + 104388/353113*c_0101_3^12 + 577988/353113*c_0101_3^11 - 1714396/353113*c_0101_3^10 + 1070006/353113*c_0101_3^9 + 7319531/353113*c_0101_3^8 + 14501254/353113*c_0101_3^7 - 14800763/353113*c_0101_3^6 - 50946347/353113*c_0101_3^5 + 16189576/353113*c_0101_3^4 + 46921152/353113*c_0101_3^3 - 6601929/353113*c_0101_3^2 - 10762376/353113*c_0101_3 - 937699/353113, c_0101_2 + 534416/353113*c_0101_3^13 - 257698/353113*c_0101_3^12 - 332050/353113*c_0101_3^11 + 1734997/353113*c_0101_3^10 - 1314241/353113*c_0101_3^9 - 7743872/353113*c_0101_3^8 - 15570516/353113*c_0101_3^7 + 18344965/353113*c_0101_3^6 + 48435719/353113*c_0101_3^5 - 20011872/353113*c_0101_3^4 - 41147193/353113*c_0101_3^3 + 7552932/353113*c_0101_3^2 + 9043628/353113*c_0101_3 + 619847/353113, c_0101_3^14 - c_0101_3^12 + 3*c_0101_3^11 - c_0101_3^10 - 16*c_0101_3^9 - 36*c_0101_3^8 + 22*c_0101_3^7 + 112*c_0101_3^6 + 4*c_0101_3^5 - 103*c_0101_3^4 - 24*c_0101_3^3 + 26*c_0101_3^2 + 11*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB