Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 4139215744] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3051 geometric_solution 6.22259012 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0213 0132 0 0 0 0 0 0 -1 1 0 0 -1 1 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 -1 1 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 0.340008736008 0.972706006249 0 0 3 4 0132 0213 1302 0132 0 0 0 0 0 1 -1 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 -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 1.007590161089 0.839652262170 5 0 6 6 0132 0132 3012 0132 0 0 0 0 0 0 1 -1 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 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 0.505552952066 0.261381866507 1 4 0 6 2031 2310 0132 2103 0 0 0 0 0 0 -1 1 1 0 -1 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 -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 0.235934353604 0.577723629047 5 6 1 3 2031 2031 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 0.275144947443 0.816314538246 2 5 4 5 0132 2310 1302 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 1.336697143520 0.905116262248 4 2 2 3 1302 1230 0132 2103 0 0 0 0 0 0 1 -1 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 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 0.477650400274 0.703969035020 ==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' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_3']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_3']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_6' : d['c_0110_3'], 'c_1001_1' : d['c_0110_3'], 'c_1001_0' : d['c_0110_3'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0011_6'])})} 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_3, c_0011_4, c_0011_6, c_0101_2, c_0110_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 7446857/2303072*c_0110_6^10 + 10800475/1151536*c_0110_6^9 - 10398535/2303072*c_0110_6^8 - 33785237/1151536*c_0110_6^7 - 102287773/2303072*c_0110_6^6 - 44350263/2303072*c_0110_6^5 - 707077/143942*c_0110_6^4 + 171218203/2303072*c_0110_6^3 + 219076209/1151536*c_0110_6^2 + 76767453/575768*c_0110_6 + 35606209/2303072, c_0011_0 - 1, c_0011_3 - 222461/143942*c_0110_6^10 - 301126/71971*c_0110_6^9 + 385429/143942*c_0110_6^8 + 930744/71971*c_0110_6^7 + 2835367/143942*c_0110_6^6 + 1036505/143942*c_0110_6^5 + 234680/71971*c_0110_6^4 - 5231713/143942*c_0110_6^3 - 6007278/71971*c_0110_6^2 - 3964285/71971*c_0110_6 - 1142153/143942, c_0011_4 + 103633/71971*c_0110_6^10 + 289588/71971*c_0110_6^9 - 157425/71971*c_0110_6^8 - 881449/71971*c_0110_6^7 - 1368076/71971*c_0110_6^6 - 577139/71971*c_0110_6^5 - 249373/71971*c_0110_6^4 + 2406553/71971*c_0110_6^3 + 5739807/71971*c_0110_6^2 + 3972271/71971*c_0110_6 + 578034/71971, c_0011_6 + 44162/71971*c_0110_6^10 + 129816/71971*c_0110_6^9 - 49993/71971*c_0110_6^8 - 390811/71971*c_0110_6^7 - 644822/71971*c_0110_6^6 - 317319/71971*c_0110_6^5 - 122346/71971*c_0110_6^4 + 1021930/71971*c_0110_6^3 + 2617058/71971*c_0110_6^2 + 2044689/71971*c_0110_6 + 435173/71971, c_0101_2 + 41492/71971*c_0110_6^10 + 123985/71971*c_0110_6^9 - 43346/71971*c_0110_6^8 - 373203/71971*c_0110_6^7 - 608845/71971*c_0110_6^6 - 307179/71971*c_0110_6^5 - 116142/71971*c_0110_6^4 + 945106/71971*c_0110_6^3 + 2453647/71971*c_0110_6^2 + 1977727/71971*c_0110_6 + 391011/71971, c_0110_3 + 78665/71971*c_0110_6^10 + 219642/71971*c_0110_6^9 - 122384/71971*c_0110_6^8 - 679970/71971*c_0110_6^7 - 1046092/71971*c_0110_6^6 - 419241/71971*c_0110_6^5 - 177125/71971*c_0110_6^4 + 1838074/71971*c_0110_6^3 + 4410038/71971*c_0110_6^2 + 3089365/71971*c_0110_6 + 459846/71971, c_0110_6^11 + 3*c_0110_6^10 - c_0110_6^9 - 9*c_0110_6^8 - 15*c_0110_6^7 - 8*c_0110_6^6 - 3*c_0110_6^5 + 23*c_0110_6^4 + 61*c_0110_6^3 + 50*c_0110_6^2 + 13*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB