Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 2033771872] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s717 geometric_solution 5.22791054 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421464666860 0.762949848462 3 2 4 0 0132 3012 0132 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 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 0.881570148107 1.018725384581 1 3 0 4 1230 2310 0132 3201 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 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 0.881570148107 1.018725384581 1 5 5 2 0132 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800741980048 0.499173520576 4 2 4 1 2031 2310 1302 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 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187665899693 0.838239615643 5 3 3 5 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.578904480286 0.484225944219 ==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' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_0'], '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_1'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 108325127/1711141*c_0101_5^13 + 374523222/1711141*c_0101_5^12 - 583827112/1711141*c_0101_5^11 - 2637136968/1711141*c_0101_5^10 - 563968750/1711141*c_0101_5^9 + 5618677878/1711141*c_0101_5^8 + 3363793192/1711141*c_0101_5^7 - 4743702970/1711141*c_0101_5^6 - 4819667438/1711141*c_0101_5^5 + 3840445881/1711141*c_0101_5^4 + 965627174/1711141*c_0101_5^3 - 77015434/1711141*c_0101_5^2 - 866028095/1711141*c_0101_5 + 269695155/1711141, c_0011_0 - 1, c_0011_1 + 10154629/1711141*c_0101_5^13 + 35939597/1711141*c_0101_5^12 - 51492035/1711141*c_0101_5^11 - 250256881/1711141*c_0101_5^10 - 74422816/1711141*c_0101_5^9 + 512693381/1711141*c_0101_5^8 + 351938085/1711141*c_0101_5^7 - 402246115/1711141*c_0101_5^6 - 467353066/1711141*c_0101_5^5 + 317719221/1711141*c_0101_5^4 + 98895284/1711141*c_0101_5^3 - 94069/1711141*c_0101_5^2 - 78257200/1711141*c_0101_5 + 21087058/1711141, c_0011_4 + 6601376/1711141*c_0101_5^13 + 23489202/1711141*c_0101_5^12 - 33082862/1711141*c_0101_5^11 - 163775983/1711141*c_0101_5^10 - 52320846/1711141*c_0101_5^9 + 334304841/1711141*c_0101_5^8 + 242608609/1711141*c_0101_5^7 - 253039103/1711141*c_0101_5^6 - 320331381/1711141*c_0101_5^5 + 185988200/1711141*c_0101_5^4 + 69840509/1711141*c_0101_5^3 + 12058299/1711141*c_0101_5^2 - 50778858/1711141*c_0101_5 + 12045562/1711141, c_0101_0 - 6970403/1711141*c_0101_5^13 - 23869279/1711141*c_0101_5^12 + 38908057/1711141*c_0101_5^11 + 170815377/1711141*c_0101_5^10 + 29821166/1711141*c_0101_5^9 - 376763281/1711141*c_0101_5^8 - 219527441/1711141*c_0101_5^7 + 327251736/1711141*c_0101_5^6 + 329597954/1711141*c_0101_5^5 - 254948779/1711141*c_0101_5^4 - 75014543/1711141*c_0101_5^3 + 7153332/1711141*c_0101_5^2 + 59646160/1711141*c_0101_5 - 16798601/1711141, c_0101_1 - 4353129/1711141*c_0101_5^13 - 15938603/1711141*c_0101_5^12 + 19885270/1711141*c_0101_5^11 + 108831446/1711141*c_0101_5^10 + 46268558/1711141*c_0101_5^9 - 208243265/1711141*c_0101_5^8 - 173404262/1711141*c_0101_5^7 + 140921747/1711141*c_0101_5^6 + 207785219/1711141*c_0101_5^5 - 106835102/1711141*c_0101_5^4 - 46651027/1711141*c_0101_5^3 - 9950909/1711141*c_0101_5^2 + 33455484/1711141*c_0101_5 - 6572490/1711141, c_0101_5^14 + 3*c_0101_5^13 - 7*c_0101_5^12 - 22*c_0101_5^11 + 6*c_0101_5^10 + 55*c_0101_5^9 + 8*c_0101_5^8 - 59*c_0101_5^7 - 26*c_0101_5^6 + 56*c_0101_5^5 - 6*c_0101_5^4 - 5*c_0101_5^3 - 8*c_0101_5^2 + 6*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB