Magma V2.19-8 Tue Aug 20 2013 23:39:14 on localhost [Seed = 1478376460] Type ? for help. Type -D to quit. Loading file "L11n138__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n138 geometric_solution 8.66421454 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 -1 1 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 0.215079854501 2.008316777722 0 5 6 6 0132 0132 2310 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329408932924 0.313588139057 7 0 8 5 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 1 0 -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 0.662358978622 0.863896960689 8 7 9 0 0321 0321 0132 0132 1 1 1 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 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 -0.069840290998 0.652136521562 7 6 0 9 1230 0321 0132 0132 1 1 1 1 0 1 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458618322435 0.758016741125 9 1 2 9 0213 0132 0132 3201 1 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 1 -1 -1 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 0.662358978622 0.863896960689 8 1 1 4 1302 3201 0132 0321 1 1 1 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 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 0.877438833123 1.144419817033 2 4 8 3 0132 3012 3120 0321 1 0 1 1 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 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 0.329408932924 0.313588139057 3 6 7 2 0321 2031 3120 0132 1 0 1 1 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 1 0 -1 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 0.578072379451 0.550308821631 5 5 4 3 0213 2310 0132 0132 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 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 0.441064904402 0.729003978045 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0011_4'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : negation(d['c_0011_9']), 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_9']), 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_1, c_0101_3, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 151864177/556237000*c_1100_0^6 - 138628227/1112474000*c_1100_0^5 - 778940611/556237000*c_1100_0^4 + 2798978889/889979200*c_1100_0^3 - 115267477/4449896000*c_1100_0^2 - 2544662773/4449896000*c_1100_0 + 2402813089/4449896000, c_0011_0 - 1, c_0011_3 + 1, c_0011_4 - 70897/202268*c_1100_0^6 - 77151/404536*c_1100_0^5 - 200445/101134*c_1100_0^4 + 5782677/1618144*c_1100_0^3 - 2323655/1618144*c_1100_0^2 - 1727065/1618144*c_1100_0 - 2731681/1618144, c_0011_6 - 3127/202268*c_1100_0^6 - 21913/404536*c_1100_0^5 - 15223/101134*c_1100_0^4 - 480333/1618144*c_1100_0^3 - 25537/1618144*c_1100_0^2 - 646463/1618144*c_1100_0 + 963353/1618144, c_0011_8 - 4787/202268*c_1100_0^6 + 13027/404536*c_1100_0^5 - 13731/101134*c_1100_0^4 + 528351/1618144*c_1100_0^3 - 1050757/1618144*c_1100_0^2 - 974379/1618144*c_1100_0 + 610317/1618144, c_0011_9 - 25617/202268*c_1100_0^6 + 37177/404536*c_1100_0^5 - 42893/50567*c_1100_0^4 + 3427909/1618144*c_1100_0^3 - 5500579/1618144*c_1100_0^2 + 4000743/1618144*c_1100_0 - 1984613/1618144, c_0101_1 + 39/9194*c_1100_0^6 + 1173/18388*c_1100_0^5 + 1669/9194*c_1100_0^4 + 26725/73552*c_1100_0^3 - 837/73552*c_1100_0^2 - 55081/73552*c_1100_0 + 8981/73552, c_0101_3 - 50317/101134*c_1100_0^6 - 25367/202268*c_1100_0^5 - 280091/101134*c_1100_0^4 + 4804265/809072*c_1100_0^3 - 2956993/809072*c_1100_0^2 + 62179/809072*c_1100_0 - 1509535/809072, c_1001_1 + 3005/18388*c_1100_0^6 + 4099/36776*c_1100_0^5 + 8487/9194*c_1100_0^4 - 238833/147104*c_1100_0^3 + 57859/147104*c_1100_0^2 + 34213/147104*c_1100_0 + 151909/147104, c_1100_0^7 + 1/2*c_1100_0^6 + 11/2*c_1100_0^5 - 85/8*c_1100_0^4 + 13/4*c_1100_0^3 + 3*c_1100_0^2 + 9/4*c_1100_0 + 25/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB