Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 3069651630] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s710 geometric_solution 5.22010094 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 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 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 1.564773026772 0.476923173009 0 2 3 0 3201 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 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 0.814382198699 0.482905169563 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -1 0 0 1 -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 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 0.567615775761 0.598580814815 2 5 4 1 2031 2310 1023 0132 0 0 0 0 0 -1 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 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 0.567615775761 0.598580814815 2 4 3 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.451391754763 0.943301821243 5 5 2 3 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.500579302670 0.539355723446 ==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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 34*c_0110_5^4 + 86*c_0110_5^3 - 123*c_0110_5^2 - 131*c_0110_5 + 59, c_0011_0 - 1, c_0011_1 + 2*c_0110_5^4 + 5*c_0110_5^3 - 7*c_0110_5^2 - 7*c_0110_5 + 4, c_0011_3 - 2*c_0110_5^4 - 5*c_0110_5^3 + 8*c_0110_5^2 + 8*c_0110_5 - 5, c_0011_5 - c_0110_5^4 - 2*c_0110_5^3 + 5*c_0110_5^2 + 3*c_0110_5 - 3, c_0101_0 + c_0110_5^4 + 2*c_0110_5^3 - 5*c_0110_5^2 - 3*c_0110_5 + 3, c_0110_5^5 + 2*c_0110_5^4 - 5*c_0110_5^3 - 2*c_0110_5^2 + 4*c_0110_5 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 45550831268/79204425767*c_0110_5^12 + 220599180973/79204425767*c_0110_5^11 + 15722964497/79204425767*c_0110_5^10 - 2217721029640/79204425767*c_0110_5^9 - 848676511679/79204425767*c_0110_5^8 + 10616582218917/79204425767*c_0110_5^7 - 3524606365255/79204425767*c_0110_5^6 - 15644943319916/79204425767*c_0110_5^5 + 3418741550650/79204425767*c_0110_5^4 + 15036331093091/79204425767*c_0110_5^3 + 834839412048/79204425767*c_0110_5^2 - 4917268546225/79204425767*c_0110_5 - 1520651792861/79204425767, c_0011_0 - 1, c_0011_1 - 10689019621/79204425767*c_0110_5^12 - 27953582863/79204425767*c_0110_5^11 + 38564352057/79204425767*c_0110_5^10 + 379440906369/79204425767*c_0110_5^9 - 582532210380/79204425767*c_0110_5^8 - 481964436767/79204425767*c_0110_5^7 + 891682425493/79204425767*c_0110_5^6 + 676543334174/79204425767*c_0110_5^5 - 692659849735/79204425767*c_0110_5^4 - 588875947718/79204425767*c_0110_5^3 - 96254558362/79204425767*c_0110_5^2 + 79932301775/79204425767*c_0110_5 + 67773163202/79204425767, c_0011_3 - 2752561628/79204425767*c_0110_5^12 - 16396043186/79204425767*c_0110_5^11 - 10215294251/79204425767*c_0110_5^10 + 143003089580/79204425767*c_0110_5^9 + 166939487683/79204425767*c_0110_5^8 - 766885471289/79204425767*c_0110_5^7 - 20075657251/79204425767*c_0110_5^6 + 1238910404597/79204425767*c_0110_5^5 - 10308395213/79204425767*c_0110_5^4 - 1027016818100/79204425767*c_0110_5^3 - 196897375608/79204425767*c_0110_5^2 + 188489314788/79204425767*c_0110_5 + 30054770479/79204425767, c_0011_5 - 16101235712/79204425767*c_0110_5^12 - 41510457012/79204425767*c_0110_5^11 + 65916397270/79204425767*c_0110_5^10 + 583227248478/79204425767*c_0110_5^9 - 925776146132/79204425767*c_0110_5^8 - 898145672124/79204425767*c_0110_5^7 + 1807983193154/79204425767*c_0110_5^6 + 1053223606407/79204425767*c_0110_5^5 - 1660875791943/79204425767*c_0110_5^4 - 967787495532/79204425767*c_0110_5^3 + 385069343340/79204425767*c_0110_5^2 + 281425849624/79204425767*c_0110_5 + 17537777277/79204425767, c_0101_0 - 9293486978/79204425767*c_0110_5^12 - 32053851858/79204425767*c_0110_5^11 + 18462135957/79204425767*c_0110_5^10 + 372069412202/79204425767*c_0110_5^9 - 248700385615/79204425767*c_0110_5^8 - 1027555231682/79204425767*c_0110_5^7 + 693750856137/79204425767*c_0110_5^6 + 1515308488013/79204425767*c_0110_5^5 - 560744541328/79204425767*c_0110_5^4 - 1441539202651/79204425767*c_0110_5^3 - 105964649305/79204425767*c_0110_5^2 + 446604670823/79204425767*c_0110_5 + 70487033592/79204425767, c_0110_5^13 + 3*c_0110_5^12 - 3*c_0110_5^11 - 38*c_0110_5^10 + 42*c_0110_5^9 + 80*c_0110_5^8 - 86*c_0110_5^7 - 115*c_0110_5^6 + 73*c_0110_5^5 + 109*c_0110_5^4 + 2*c_0110_5^3 - 30*c_0110_5^2 - 8*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB