Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 425231383] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3392 geometric_solution 6.55926041 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 -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 1.242167753685 1.049325887919 0 3 4 5 0132 0132 2031 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180927015706 0.966275623045 2 0 2 6 2031 0132 1302 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452330619184 0.626315693106 6 1 5 0 3201 0132 2031 0132 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 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 0.710612452332 0.499772690826 5 6 0 1 1230 1023 0132 1302 0 0 0 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 0 0 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 0 0 0 1.087461519649 1.259980482893 6 4 1 3 1230 3012 0132 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441597065172 0.797165369363 4 5 2 3 1023 3012 0132 2310 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 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 0.669818425387 0.747543343032 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : 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_0011_4']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_6']})} 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 249/800*c_0101_6^17 - 961/800*c_0101_6^16 + 713/160*c_0101_6^15 + 783/50*c_0101_6^14 - 22401/800*c_0101_6^13 - 31749/400*c_0101_6^12 + 3173/32*c_0101_6^11 + 159953/800*c_0101_6^10 - 32391/160*c_0101_6^9 - 109759/400*c_0101_6^8 + 170961/800*c_0101_6^7 + 186597/800*c_0101_6^6 - 327/5*c_0101_6^5 - 28717/160*c_0101_6^4 - 4367/80*c_0101_6^3 + 111501/800*c_0101_6^2 + 5543/200*c_0101_6 - 11011/200, c_0011_0 - 1, c_0011_4 + 1/16*c_0101_6^17 - 3/16*c_0101_6^16 - 13/16*c_0101_6^15 + 11/4*c_0101_6^14 + 57/16*c_0101_6^13 - 125/8*c_0101_6^12 - 73/16*c_0101_6^11 + 703/16*c_0101_6^10 - 149/16*c_0101_6^9 - 525/8*c_0101_6^8 + 595/16*c_0101_6^7 + 799/16*c_0101_6^6 - 189/4*c_0101_6^5 - 235/16*c_0101_6^4 + 211/8*c_0101_6^3 - 25/16*c_0101_6^2 - 11/2*c_0101_6 + 1/4, c_0011_5 - c_0101_6^2 + 1, c_0101_0 + 3/4*c_0101_6^17 + 1/4*c_0101_6^16 - 45/4*c_0101_6^15 - 7/4*c_0101_6^14 + 277/4*c_0101_6^13 - c_0101_6^12 - 915/4*c_0101_6^11 + 79/2*c_0101_6^10 + 447*c_0101_6^9 - 573/4*c_0101_6^8 - 1061/2*c_0101_6^7 + 242*c_0101_6^6 + 739/2*c_0101_6^5 - 859/4*c_0101_6^4 - 531/4*c_0101_6^3 + 94*c_0101_6^2 + 67/4*c_0101_6 - 27/2, c_0101_1 - 3/8*c_0101_6^17 + 1/8*c_0101_6^16 + 49/8*c_0101_6^15 - 11/4*c_0101_6^14 - 327/8*c_0101_6^13 + 91/4*c_0101_6^12 + 1157/8*c_0101_6^11 - 765/8*c_0101_6^10 - 2369/8*c_0101_6^9 + 915/4*c_0101_6^8 + 2867/8*c_0101_6^7 - 2583/8*c_0101_6^6 - 247*c_0101_6^5 + 2115/8*c_0101_6^4 + 335/4*c_0101_6^3 - 925/8*c_0101_6^2 - 31/4*c_0101_6 + 20, c_0101_3 + 19/16*c_0101_6^17 - 9/16*c_0101_6^16 - 291/16*c_0101_6^15 + 45/4*c_0101_6^14 + 1811/16*c_0101_6^13 - 679/8*c_0101_6^12 - 5967/16*c_0101_6^11 + 5209/16*c_0101_6^10 + 11429/16*c_0101_6^9 - 5741/8*c_0101_6^8 - 12955/16*c_0101_6^7 + 15181/16*c_0101_6^6 + 2063/4*c_0101_6^5 - 11877/16*c_0101_6^4 - 1209/8*c_0101_6^3 + 5041/16*c_0101_6^2 + 5*c_0101_6 - 221/4, c_0101_6^18 - c_0101_6^17 - 15*c_0101_6^16 + 18*c_0101_6^15 + 89*c_0101_6^14 - 128*c_0101_6^13 - 265*c_0101_6^12 + 473*c_0101_6^11 + 405*c_0101_6^10 - 1008*c_0101_6^9 - 229*c_0101_6^8 + 1277*c_0101_6^7 - 190*c_0101_6^6 - 935*c_0101_6^5 + 380*c_0101_6^4 + 351*c_0101_6^3 - 218*c_0101_6^2 - 44*c_0101_6 + 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB