Magma V2.19-8 Tue Aug 20 2013 16:17:37 on localhost [Seed = 593674182] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1860 geometric_solution 5.49596675 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 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 -1 0 1 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 0.355790174956 0.518590125254 3 2 4 0 0132 3012 0132 0132 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 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 0.585967120516 0.957124877381 1 3 0 4 1230 0132 0132 3201 0 0 0 0 0 0 -1 1 1 0 0 -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 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 0 0 0 0.585967120516 0.957124877381 1 2 5 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606416832681 1.624524749244 6 2 6 1 0132 2310 2310 0132 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164040139399 1.690349549324 3 5 5 3 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.623849042924 0.433021139889 4 4 6 6 0132 3201 2031 1302 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415138468988 0.138823064820 ==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' : d['c_0101_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 401/4*c_0101_4^5 + 226*c_0101_4^4 + 13351/20*c_0101_4^3 - 1883/2*c_0101_4^2 - 6493/5*c_0101_4 - 2697/10, c_0011_0 - 1, c_0011_1 + 3/4*c_0101_4^5 - 2*c_0101_4^4 - 22/5*c_0101_4^3 + 44/5*c_0101_4^2 + 38/5*c_0101_4 + 4/5, c_0011_4 - 9/2*c_0101_4^5 + 10*c_0101_4^4 + 299/10*c_0101_4^3 - 207/5*c_0101_4^2 - 286/5*c_0101_4 - 66/5, c_0011_5 - c_0101_4, c_0101_0 - 9/2*c_0101_4^5 + 10*c_0101_4^4 + 299/10*c_0101_4^3 - 207/5*c_0101_4^2 - 286/5*c_0101_4 - 66/5, c_0101_1 - 11/2*c_0101_4^5 + 13*c_0101_4^4 + 178/5*c_0101_4^3 - 271/5*c_0101_4^2 - 342/5*c_0101_4 - 76/5, c_0101_4^6 - 2*c_0101_4^5 - 36/5*c_0101_4^4 + 38/5*c_0101_4^3 + 76/5*c_0101_4^2 + 32/5*c_0101_4 + 4/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 18444750577/2008382325*c_0101_4^13 + 28924905074/669460775*c_0101_4^12 - 39913715622/669460775*c_0101_4^11 - 618340269197/2008382325*c_0101_4^10 + 801614829407/2008382325*c_0101_4^9 + 1859494849057/2008382325*c_0101_4^8 - 808004759368/2008382325*c_0101_4^7 - 1322048568628/2008382325*c_0101_4^6 - 34441198037/669460775*c_0101_4^5 - 29022495808/2008382325*c_0101_4^4 + 69740451302/2008382325*c_0101_4^3 - 113323762486/2008382325*c_0101_4^2 + 174525676852/2008382325*c_0101_4 + 23084060114/2008382325, c_0011_0 - 1, c_0011_1 - 714463156/401676465*c_0101_4^13 - 3360467551/401676465*c_0101_4^12 + 4827094778/401676465*c_0101_4^11 + 25020341611/401676465*c_0101_4^10 - 31396559341/401676465*c_0101_4^9 - 79848940331/401676465*c_0101_4^8 + 32982110009/401676465*c_0101_4^7 + 26891637278/133892155*c_0101_4^6 + 4760302211/133892155*c_0101_4^5 - 26020033706/401676465*c_0101_4^4 - 21646276066/401676465*c_0101_4^3 + 1301509726/133892155*c_0101_4^2 + 2474315654/401676465*c_0101_4 + 358535811/133892155, c_0011_4 + 537455792/401676465*c_0101_4^13 + 819446374/133892155*c_0101_4^12 - 1322100387/133892155*c_0101_4^11 - 18406102642/401676465*c_0101_4^10 + 26048546467/401676465*c_0101_4^9 + 57469771652/401676465*c_0101_4^8 - 32641619723/401676465*c_0101_4^7 - 59497408133/401676465*c_0101_4^6 - 789795687/133892155*c_0101_4^5 + 22355916982/401676465*c_0101_4^4 + 12884447167/401676465*c_0101_4^3 - 4487799011/401676465*c_0101_4^2 - 1233348418/401676465*c_0101_4 - 552382571/401676465, c_0011_5 - 412331318/401676465*c_0101_4^13 - 1829168093/401676465*c_0101_4^12 + 3302684734/401676465*c_0101_4^11 + 13745320943/401676465*c_0101_4^10 - 21720273008/401676465*c_0101_4^9 - 41636510788/401676465*c_0101_4^8 + 29584875952/401676465*c_0101_4^7 + 14742274614/133892155*c_0101_4^6 + 91032438/133892155*c_0101_4^5 - 19753360138/401676465*c_0101_4^4 - 11944870643/401676465*c_0101_4^3 + 1745631908/133892155*c_0101_4^2 + 1487738917/401676465*c_0101_4 + 201311778/133892155, c_0101_0 - 788812867/401676465*c_0101_4^13 - 3629839622/401676465*c_0101_4^12 + 5753576731/401676465*c_0101_4^11 + 9110333489/133892155*c_0101_4^10 - 12553857009/133892155*c_0101_4^9 - 28842493904/133892155*c_0101_4^8 + 15532008806/133892155*c_0101_4^7 + 92278420448/401676465*c_0101_4^6 + 2074570977/133892155*c_0101_4^5 - 36870228782/401676465*c_0101_4^4 - 7521055944/133892155*c_0101_4^3 + 7154513996/401676465*c_0101_4^2 + 2874388043/401676465*c_0101_4 + 1181595821/401676465, c_0101_1 + 85144818/133892155*c_0101_4^13 + 1164468004/401676465*c_0101_4^12 - 1905560387/401676465*c_0101_4^11 - 8715453989/401676465*c_0101_4^10 + 12614351444/401676465*c_0101_4^9 + 27143879464/401676465*c_0101_4^8 - 16624285696/401676465*c_0101_4^7 - 27824614811/401676465*c_0101_4^6 + 418206346/133892155*c_0101_4^5 + 3582089573/133892155*c_0101_4^4 + 5053478744/401676465*c_0101_4^3 - 2667906347/401676465*c_0101_4^2 - 216419832/133892155*c_0101_4 - 236084057/401676465, c_0101_4^14 + 4*c_0101_4^13 - 10*c_0101_4^12 - 30*c_0101_4^11 + 68*c_0101_4^10 + 79*c_0101_4^9 - 121*c_0101_4^8 - 76*c_0101_4^7 + 55*c_0101_4^6 + 47*c_0101_4^5 + 4*c_0101_4^4 - 25*c_0101_4^3 + 2*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB