Magma V2.19-8 Tue Aug 20 2013 16:18:24 on localhost [Seed = 4038159809] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2599 geometric_solution 5.88669656 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 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 -1 0 1 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 1.379703819103 1.180451859272 0 0 5 4 0132 2103 0132 0132 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 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 0.631855163885 0.720309950925 4 5 4 0 0132 1230 2031 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351523249871 0.483519436049 4 3 0 3 1302 2310 0132 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 -1 1 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 0.072798416096 0.918384146345 2 3 1 2 0132 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.072798416096 0.918384146345 6 6 2 1 0132 3201 3012 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -0.114941473317 0.667388834467 5 6 5 6 0132 2310 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.782947053442 0.929317523302 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 6198686925758/135553709925*c_0110_3^12 - 114172338097579/948875969475*c_0110_3^11 - 27612163505819/316291989825*c_0110_3^10 + 135371597322116/948875969475*c_0110_3^9 + 6254412738704/15061523325*c_0110_3^8 - 101992917046651/135553709925*c_0110_3^7 + 69610529031068/105430663275*c_0110_3^6 + 184004423166821/189775193895*c_0110_3^5 - 168732681448516/105430663275*c_0110_3^4 + 76418197015795/37955038779*c_0110_3^3 + 995591582380354/948875969475*c_0110_3^2 - 531161666632043/948875969475*c_0110_3 - 47413168527899/948875969475, c_0011_0 - 1, c_0011_2 - 177825065/200820311*c_0110_3^12 + 465913765/200820311*c_0110_3^11 + 357235825/200820311*c_0110_3^10 - 584284472/200820311*c_0110_3^9 - 1640040167/200820311*c_0110_3^8 + 2936731617/200820311*c_0110_3^7 - 2418917658/200820311*c_0110_3^6 - 3997190635/200820311*c_0110_3^5 + 6402608613/200820311*c_0110_3^4 - 7657752969/200820311*c_0110_3^3 - 4561247388/200820311*c_0110_3^2 + 2765569548/200820311*c_0110_3 + 395473794/200820311, c_0011_3 + 46298328/200820311*c_0110_3^12 - 122601774/200820311*c_0110_3^11 - 94393813/200820311*c_0110_3^10 + 164800503/200820311*c_0110_3^9 + 437195747/200820311*c_0110_3^8 - 774168952/200820311*c_0110_3^7 + 603972604/200820311*c_0110_3^6 + 1022294511/200820311*c_0110_3^5 - 1755531149/200820311*c_0110_3^4 + 1972050381/200820311*c_0110_3^3 + 1208537089/200820311*c_0110_3^2 - 955198449/200820311*c_0110_3 - 102093402/200820311, c_0011_5 + 91814662/200820311*c_0110_3^12 - 256691513/200820311*c_0110_3^11 - 143146507/200820311*c_0110_3^10 + 336706073/200820311*c_0110_3^9 + 800154290/200820311*c_0110_3^8 - 1678699210/200820311*c_0110_3^7 + 1491732736/200820311*c_0110_3^6 + 1881493187/200820311*c_0110_3^5 - 3605981482/200820311*c_0110_3^4 + 4431880970/200820311*c_0110_3^3 + 1615235233/200820311*c_0110_3^2 - 1715187547/200820311*c_0110_3 - 134235191/200820311, c_0101_0 - 293380392/200820311*c_0110_3^12 + 748614439/200820311*c_0110_3^11 + 636692383/200820311*c_0110_3^10 - 910679556/200820311*c_0110_3^9 - 2766527105/200820311*c_0110_3^8 + 4664763420/200820311*c_0110_3^7 - 3705045175/200820311*c_0110_3^6 - 6802411718/200820311*c_0110_3^5 + 9933841124/200820311*c_0110_3^4 - 11782224488/200820311*c_0110_3^3 - 8326126116/200820311*c_0110_3^2 + 3688419109/200820311*c_0110_3 + 930229923/200820311, c_0101_2 - 225818962/200820311*c_0110_3^12 + 569203679/200820311*c_0110_3^11 + 509676595/200820311*c_0110_3^10 - 693239909/200820311*c_0110_3^9 - 2146757422/200820311*c_0110_3^8 + 3527179778/200820311*c_0110_3^7 - 2730880645/200820311*c_0110_3^6 - 5380717471/200820311*c_0110_3^5 + 7633390453/200820311*c_0110_3^4 - 8821402685/200820311*c_0110_3^3 - 6823894104/200820311*c_0110_3^2 + 2759470120/200820311*c_0110_3 + 752404858/200820311, c_0110_3^13 - 3*c_0110_3^12 - c_0110_3^11 + 4*c_0110_3^10 + 8*c_0110_3^9 - 20*c_0110_3^8 + 20*c_0110_3^7 + 17*c_0110_3^6 - 44*c_0110_3^5 + 56*c_0110_3^4 + 9*c_0110_3^3 - 24*c_0110_3^2 + 3*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB