Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 206409931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0244 geometric_solution 4.26752050 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4.070613659538 4.072191583759 0 0 3 3 0132 3201 3201 0132 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 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 0.124651476645 0.210120713327 0 0 2 2 3201 0132 1230 3012 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 0 0 0 -1 0 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 0.106159459772 0.063033403347 1 4 1 5 2310 0132 0132 0132 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 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 1.605920478956 1.997800837473 6 3 5 5 0132 0132 3012 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139260446386 1.160514135248 4 4 3 6 3201 1230 0132 3201 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 -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 0.139260446386 1.160514135248 4 5 6 6 0132 2310 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386916936893 0.241314037507 ==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' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], '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' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], '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' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 65766*c_0110_2^15 - 355827*c_0110_2^14 - 14532*c_0110_2^13 + 1966816*c_0110_2^12 + 6067629*c_0110_2^11 - 1389022*c_0110_2^10 - 21478483*c_0110_2^9 + 1327701*c_0110_2^8 + 31575318*c_0110_2^7 - 9189690*c_0110_2^6 - 21037489*c_0110_2^5 + 12661265*c_0110_2^4 + 3374134*c_0110_2^3 - 4938224*c_0110_2^2 + 1546761*c_0110_2 - 162715, c_0011_0 - 1, c_0011_3 - 10*c_0110_2^15 - 51*c_0110_2^14 + 15*c_0110_2^13 + 302*c_0110_2^12 + 830*c_0110_2^11 - 510*c_0110_2^10 - 3239*c_0110_2^9 + 1222*c_0110_2^8 + 4874*c_0110_2^7 - 2888*c_0110_2^6 - 2966*c_0110_2^5 + 2967*c_0110_2^4 + 53*c_0110_2^3 - 987*c_0110_2^2 + 443*c_0110_2 - 65, c_0011_5 - 54*c_0110_2^15 - 279*c_0110_2^14 + 62*c_0110_2^13 + 1633*c_0110_2^12 + 4592*c_0110_2^11 - 2436*c_0110_2^10 - 17623*c_0110_2^9 + 5395*c_0110_2^8 + 26556*c_0110_2^7 - 13742*c_0110_2^6 - 16754*c_0110_2^5 + 14739*c_0110_2^4 + 1186*c_0110_2^3 - 5104*c_0110_2^2 + 2025*c_0110_2 - 261, c_0101_0 - c_0110_2^15 - 5*c_0110_2^14 + 2*c_0110_2^13 + 30*c_0110_2^12 + 80*c_0110_2^11 - 59*c_0110_2^10 - 318*c_0110_2^9 + 154*c_0110_2^8 + 472*c_0110_2^7 - 336*c_0110_2^6 - 263*c_0110_2^5 + 323*c_0110_2^4 - 27*c_0110_2^3 - 96*c_0110_2^2 + 55*c_0110_2 - 11, c_0101_1 - 5427*c_0110_2^15 - 29133*c_0110_2^14 + 135*c_0110_2^13 + 162897*c_0110_2^12 + 494145*c_0110_2^11 - 138453*c_0110_2^10 - 1777417*c_0110_2^9 + 181305*c_0110_2^8 + 2630268*c_0110_2^7 - 854642*c_0110_2^6 - 1744490*c_0110_2^5 + 1110675*c_0110_2^4 + 263980*c_0110_2^3 - 424251*c_0110_2^2 + 136512*c_0110_2 - 14661, c_0101_4 - 4860*c_0110_2^15 - 26217*c_0110_2^14 - 621*c_0110_2^13 + 145557*c_0110_2^12 + 446220*c_0110_2^11 - 110736*c_0110_2^10 - 1589202*c_0110_2^9 + 121494*c_0110_2^8 + 2341920*c_0110_2^7 - 708924*c_0110_2^6 - 1557958*c_0110_2^5 + 954989*c_0110_2^4 + 245673*c_0110_2^3 - 369603*c_0110_2^2 + 116559*c_0110_2 - 12312, c_0110_2^16 + 5*c_0110_2^15 - 2*c_0110_2^14 - 30*c_0110_2^13 - 80*c_0110_2^12 + 59*c_0110_2^11 + 318*c_0110_2^10 - 154*c_0110_2^9 - 472*c_0110_2^8 + 336*c_0110_2^7 + 263*c_0110_2^6 - 323*c_0110_2^5 + 27*c_0110_2^4 + 96*c_0110_2^3 - 54*c_0110_2^2 + 12*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB