Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 4240269370] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0312 geometric_solution 4.34908251 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.508644149402 0.900240275459 0 4 5 2 0132 0132 0132 1302 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 -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 1.083091512219 0.626661841915 5 0 1 4 1302 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.083091512219 0.626661841915 0 6 6 0 3201 0132 3201 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287544828636 0.111758201205 2 1 5 5 3012 0132 3201 0132 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 -1 0 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 0.577142617680 0.429789328487 4 2 4 1 2310 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.114578449381 0.830009617433 3 3 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.857565626830 1.208049259173 ==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_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_5']), '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_0'], 'c_0011_6' : negation(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_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 197224133/11796530*c_0101_6^10 - 69802383/11796530*c_0101_6^9 - 548712839/2359306*c_0101_6^8 + 1803967687/11796530*c_0101_6^7 - 2320358637/11796530*c_0101_6^6 + 307797353/2359306*c_0101_6^5 - 2056491853/11796530*c_0101_6^4 + 1265759513/11796530*c_0101_6^3 - 53536735/2359306*c_0101_6^2 + 800199493/11796530*c_0101_6 - 22208323/11796530, c_0011_0 - 1, c_0011_3 + 39168/62087*c_0101_6^10 + 16265/62087*c_0101_6^9 + 550885/62087*c_0101_6^8 - 323767/62087*c_0101_6^7 + 508224/62087*c_0101_6^6 - 337610/62087*c_0101_6^5 + 426671/62087*c_0101_6^4 - 263569/62087*c_0101_6^3 + 122259/62087*c_0101_6^2 - 94451/62087*c_0101_6 + 18160/62087, c_0011_5 + 23543/62087*c_0101_6^10 - 6495/62087*c_0101_6^9 + 318055/62087*c_0101_6^8 - 413272/62087*c_0101_6^7 + 354482/62087*c_0101_6^6 - 190182/62087*c_0101_6^5 + 172616/62087*c_0101_6^4 - 214576/62087*c_0101_6^3 - 16909/62087*c_0101_6^2 - 38456/62087*c_0101_6 + 30825/62087, c_0101_0 + 11238/62087*c_0101_6^10 - 13889/62087*c_0101_6^9 + 139465/62087*c_0101_6^8 - 354320/62087*c_0101_6^7 + 154949/62087*c_0101_6^6 - 187505/62087*c_0101_6^5 + 199334/62087*c_0101_6^4 - 201404/62087*c_0101_6^3 - 28578/62087*c_0101_6^2 - 31313/62087*c_0101_6 + 13580/62087, c_0101_1 - 2051/62087*c_0101_6^10 - 8034/62087*c_0101_6^9 - 14807/62087*c_0101_6^8 - 76359/62087*c_0101_6^7 + 271344/62087*c_0101_6^6 - 197879/62087*c_0101_6^5 + 243371/62087*c_0101_6^4 - 62268/62087*c_0101_6^3 + 113611/62087*c_0101_6^2 - 55770/62087*c_0101_6 + 7444/62087, c_0101_5 - 23543/62087*c_0101_6^10 + 6495/62087*c_0101_6^9 - 318055/62087*c_0101_6^8 + 413272/62087*c_0101_6^7 - 354482/62087*c_0101_6^6 + 190182/62087*c_0101_6^5 - 172616/62087*c_0101_6^4 + 214576/62087*c_0101_6^3 + 16909/62087*c_0101_6^2 + 38456/62087*c_0101_6 - 30825/62087, c_0101_6^11 + 14*c_0101_6^9 - 14*c_0101_6^8 + 18*c_0101_6^7 - 14*c_0101_6^6 + 16*c_0101_6^5 - 12*c_0101_6^4 + 6*c_0101_6^3 - 6*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB