Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 1141233792] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2333 geometric_solution 5.71976349 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -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 0.249413200027 0.194755773986 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 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 0.259861012888 1.750142204140 1 4 5 3 0132 0132 0132 1230 0 0 0 0 0 1 -1 0 0 0 0 0 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 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 0.681519167567 1.137150462554 2 5 4 1 3012 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 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 0.681519167567 1.137150462554 3 2 4 4 2310 0132 2031 1302 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434926465398 0.375111127245 6 6 3 2 0132 2310 2310 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 -1 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 0.198306454070 1.348099402967 5 6 6 5 0132 1230 3012 3201 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 -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 -0.263483423049 0.475500707830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], '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_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), '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_0101_0']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_1 + 1, c_0011_3 + 1, c_0011_5 + 1, c_0101_0 + c_0101_3, c_0101_3^2 - 2, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 36*c_0101_4^2 + 44*c_0101_4 - 64, c_0011_0 - 1, c_0011_1 - c_0101_4, c_0011_3 - c_0101_4^2 - c_0101_4 + 1, c_0011_5 + 1, c_0101_0 + 2*c_0101_3*c_0101_4^2 + 3*c_0101_3*c_0101_4 - 3*c_0101_3, c_0101_3^2 - 2*c_0101_4^2, c_0101_4^3 + c_0101_4^2 - 2*c_0101_4 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 7188958854/202318867*c_0101_4^12 - 39972954209/202318867*c_0101_4^11 + 9304505648/202318867*c_0101_4^10 + 189733444706/202318867*c_0101_4^9 - 288904462986/202318867*c_0101_4^8 + 96724676528/202318867*c_0101_4^7 + 137831649332/202318867*c_0101_4^6 - 332191483637/202318867*c_0101_4^5 + 89593350610/202318867*c_0101_4^4 + 164170045449/202318867*c_0101_4^3 + 55877187255/202318867*c_0101_4^2 + 20412308659/202318867*c_0101_4 - 5941338276/202318867, c_0011_0 - 1, c_0011_1 + 8701846/202318867*c_0101_4^12 - 39242558/202318867*c_0101_4^11 - 53132794/202318867*c_0101_4^10 + 322005916/202318867*c_0101_4^9 - 153575752/202318867*c_0101_4^8 - 589724330/202318867*c_0101_4^7 + 890780486/202318867*c_0101_4^6 - 606240925/202318867*c_0101_4^5 - 209152118/202318867*c_0101_4^4 + 568110774/202318867*c_0101_4^3 + 203766904/202318867*c_0101_4^2 - 40159201/202318867*c_0101_4 - 191876799/202318867, c_0011_3 + 97977098/202318867*c_0101_4^12 - 542590878/202318867*c_0101_4^11 + 93743207/202318867*c_0101_4^10 + 2695218192/202318867*c_0101_4^9 - 3856605020/202318867*c_0101_4^8 + 671883270/202318867*c_0101_4^7 + 2534548672/202318867*c_0101_4^6 - 4408463215/202318867*c_0101_4^5 + 564547770/202318867*c_0101_4^4 + 3147125030/202318867*c_0101_4^3 + 771319337/202318867*c_0101_4^2 - 259946171/202318867*c_0101_4 - 246223919/202318867, c_0011_5 - 20519234/202318867*c_0101_4^12 + 89315219/202318867*c_0101_4^11 + 130344767/202318867*c_0101_4^10 - 685840518/202318867*c_0101_4^9 + 233631838/202318867*c_0101_4^8 + 1182406013/202318867*c_0101_4^7 - 1626863847/202318867*c_0101_4^6 + 1110933679/202318867*c_0101_4^5 + 931593411/202318867*c_0101_4^4 - 1601059641/202318867*c_0101_4^3 - 439008005/202318867*c_0101_4^2 + 157284638/202318867*c_0101_4 + 3498552/202318867, c_0101_0 + 246223919/202318867*c_0101_3*c_0101_4^12 - 1329096693/202318867*c_0101_3*c_0101_4^11 + 50143040/202318867*c_0101_3*c_0101_4^10 + 6800526525/202318867*c_0101_3*c_0101_4^9 - 8850816167/202318867*c_0101_3*c_0101_4^8 + 409470154/202318867*c_0101_3*c_0101_4^7 + 6961058219/202318867*c_0101_3*c_0101_4^6 - 10659937999/202318867*c_0101_3*c_0101_4^5 - 269791246/202318867*c_0101_3*c_0101_4^4 + 8299513314/202318867*c_0101_3*c_0101_4^3 + 2762249026/202318867*c_0101_3*c_0101_4^2 - 525095418/202318867*c_0101_3*c_0101_4 - 478725586/202318867*c_0101_3, c_0101_3^2 + 4266672/202318867*c_0101_4^12 - 35729102/202318867*c_0101_4^11 + 78354228/202318867*c_0101_4^10 + 63970398/202318867*c_0101_4^9 - 467898486/202318867*c_0101_4^8 + 621023260/202318867*c_0101_4^7 - 319080007/202318867*c_0101_4^6 - 43817044/202318867*c_0101_4^5 + 254844318/202318867*c_0101_4^4 - 5077400/202318867*c_0101_4^3 - 251179914/202318867*c_0101_4^2 - 165771261/202318867*c_0101_4 + 8701846/202318867, c_0101_4^13 - 5*c_0101_4^12 - 2*c_0101_4^11 + 28*c_0101_4^10 - 25*c_0101_4^9 - 14*c_0101_4^8 + 31*c_0101_4^7 - 33*c_0101_4^6 - 19*c_0101_4^5 + 36*c_0101_4^4 + 24*c_0101_4^3 + c_0101_4^2 - 3*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB