Magma V2.19-8 Tue Aug 20 2013 16:18:15 on localhost [Seed = 1562165350] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2470 geometric_solution 5.80656387 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 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 -1 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 0.425794135863 0.441174968328 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 1 -1 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 -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 0.439243015964 0.695220407317 4 5 0 1 2310 0132 0132 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439243015964 0.695220407317 1 4 6 5 0132 2310 0132 1302 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 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 0.040586718212 1.114814686467 6 1 2 3 1230 0132 3201 3201 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899747910570 0.615375966037 6 2 3 6 2103 0132 2031 2310 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 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 0.095086017298 0.841378622498 5 4 5 3 3201 3012 2103 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 -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 -2.892828668934 0.924322667845 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_1'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_6, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3910695/5070464*c_0101_5^7 - 566509/362176*c_0101_5^6 - 12938237/5070464*c_0101_5^5 - 71291397/5070464*c_0101_5^4 + 100612347/2535232*c_0101_5^3 + 3448761/316904*c_0101_5^2 - 6095179/316904*c_0101_5 - 5733709/316904, c_0011_0 - 1, c_0011_1 - 6409/79226*c_0101_4*c_0101_5^7 + 672/5659*c_0101_4*c_0101_5^6 + 11315/39613*c_0101_4*c_0101_5^5 + 134865/79226*c_0101_4*c_0101_5^4 - 245513/79226*c_0101_4*c_0101_5^3 - 141837/79226*c_0101_4*c_0101_5^2 - 14299/39613*c_0101_4*c_0101_5 + 65110/39613*c_0101_4, c_0011_6 + 32555/316904*c_0101_4*c_0101_5^7 - 8313/45272*c_0101_4*c_0101_5^6 - 125143/316904*c_0101_4*c_0101_5^5 - 312845/158452*c_0101_4*c_0101_5^4 + 1548665/316904*c_0101_4*c_0101_5^3 + 453069/158452*c_0101_4*c_0101_5^2 - 141837/79226*c_0101_4*c_0101_5 - 104906/39613*c_0101_4, c_0101_1 - 2937/45272*c_0101_5^7 + 2933/45272*c_0101_5^6 + 14373/45272*c_0101_5^5 + 31311/22636*c_0101_5^4 - 89875/45272*c_0101_5^3 - 72895/22636*c_0101_5^2 + 9567/11318*c_0101_5 + 7662/5659, c_0101_2 - 8725/79226*c_0101_4*c_0101_5^7 + 5239/22636*c_0101_4*c_0101_5^6 + 53055/158452*c_0101_4*c_0101_5^5 + 319677/158452*c_0101_4*c_0101_5^4 - 226190/39613*c_0101_4*c_0101_5^3 - 149143/158452*c_0101_4*c_0101_5^2 + 144175/79226*c_0101_4*c_0101_5 + 48185/39613*c_0101_4, c_0101_4^2 - 409/5659*c_0101_5^7 + 2549/22636*c_0101_5^6 + 5827/22636*c_0101_5^5 + 32287/22636*c_0101_5^4 - 31785/11318*c_0101_5^3 - 52113/22636*c_0101_5^2 + 9901/11318*c_0101_5 - 441/5659, c_0101_5^8 - c_0101_5^7 - 5*c_0101_5^6 - 22*c_0101_5^5 + 31*c_0101_5^4 + 58*c_0101_5^3 - 32*c_0101_5 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB