Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2800171705] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s669 geometric_solution 5.16168586 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257854187253 0.219836499337 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496359187350 1.694834250220 1 3 4 5 0132 3201 0132 0132 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 -1 0 1 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 0.066184121411 0.970498326572 5 4 2 1 3201 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066184121411 0.970498326572 4 3 4 2 2031 0132 1302 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 -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 0.477676137934 0.549740924487 5 5 2 3 1230 3012 0132 2310 0 0 0 0 0 0 -1 1 -1 0 0 1 -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 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 0 0 0 0 0 1.099386264697 1.036485158317 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], '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_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_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], '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_0101_1'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_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_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 23151746230962/2210840024647*c_0101_1^11 + 140516001440565/2210840024647*c_0101_1^10 + 14059305197731/2210840024647*c_0101_1^9 + 18382061786523/2210840024647*c_0101_1^8 - 1368067787337069/2210840024647*c_0101_1^7 + 322638029993956/2210840024647*c_0101_1^6 - 1165841789392949/2210840024647*c_0101_1^5 - 2513430964963163/2210840024647*c_0101_1^4 + 1718769492060207/2210840024647*c_0101_1^3 - 270404479670083/2210840024647*c_0101_1^2 - 252146921642369/2210840024647*c_0101_1 + 398933536421170/2210840024647, c_0011_0 - 1, c_0011_1 - 21142341/6371296901*c_0101_1^11 + 141564636/6371296901*c_0101_1^10 - 20712934/6371296901*c_0101_1^9 - 260457757/6371296901*c_0101_1^8 - 1469322845/6371296901*c_0101_1^7 + 1499195692/6371296901*c_0101_1^6 + 2017759144/6371296901*c_0101_1^5 - 1259993953/6371296901*c_0101_1^4 + 121879351/6371296901*c_0101_1^3 + 857421291/6371296901*c_0101_1^2 - 3116477071/6371296901*c_0101_1 - 3956976622/6371296901, c_0011_3 + 380529495382/2210840024647*c_0011_5*c_0101_1^11 - 2351701013682/2210840024647*c_0011_5*c_0101_1^10 + 83838080130/2210840024647*c_0011_5*c_0101_1^9 - 686368649599/2210840024647*c_0011_5*c_0101_1^8 + 22799925812534/2210840024647*c_0011_5*c_0101_1^7 - 7866229486848/2210840024647*c_0011_5*c_0101_1^6 + 23297923079641/2210840024647*c_0011_5*c_0101_1^5 + 35226131148426/2210840024647*c_0011_5*c_0101_1^4 - 28326888970851/2210840024647*c_0011_5*c_0101_1^3 + 11361366805418/2210840024647*c_0011_5*c_0101_1^2 - 3993425608912/2210840024647*c_0011_5*c_0101_1 - 2495770446320/2210840024647*c_0011_5, c_0011_5^2 + 60559719499/4421680049294*c_0101_1^11 - 423486124299/4421680049294*c_0101_1^10 + 143674465852/2210840024647*c_0101_1^9 + 72362750661/4421680049294*c_0101_1^8 + 1857766714237/2210840024647*c_0101_1^7 - 2209333564296/2210840024647*c_0101_1^6 + 3001528946309/4421680049294*c_0101_1^5 + 3607751104329/4421680049294*c_0101_1^4 - 7916831274393/4421680049294*c_0101_1^3 - 1065274251563/4421680049294*c_0101_1^2 + 502610459559/4421680049294*c_0101_1 - 906293178203/4421680049294, c_0101_0 + 188966536646/2210840024647*c_0101_1^11 - 1151739507880/2210840024647*c_0101_1^10 - 63971066927/2210840024647*c_0101_1^9 - 286593533185/2210840024647*c_0101_1^8 + 11221811807312/2210840024647*c_0101_1^7 - 2994839539693/2210840024647*c_0101_1^6 + 10984576991242/2210840024647*c_0101_1^5 + 19385143129784/2210840024647*c_0101_1^4 - 13293369684907/2210840024647*c_0101_1^3 + 2871370291105/2210840024647*c_0101_1^2 + 1091661278182/2210840024647*c_0101_1 - 1364024987537/2210840024647, c_0101_1^12 - 6*c_0101_1^11 - c_0101_1^10 - c_0101_1^9 + 59*c_0101_1^8 - 10*c_0101_1^7 + 51*c_0101_1^6 + 112*c_0101_1^5 - 64*c_0101_1^4 + 10*c_0101_1^3 + 12*c_0101_1^2 - 14*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB