Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3052677461] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0647 geometric_solution 4.63361527 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 1 -1 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 1 -1 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 -0.669128066490 0.115756946672 0 0 2 2 0132 3201 2310 0132 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 1 -2 1 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 2.042546390841 0.728510319381 3 1 1 3 0132 3201 0132 1023 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 0 -1 1 0 0 0 0 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.091289657966 0.533889190753 2 4 5 2 0132 0132 0132 1023 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 -1 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390075534871 0.244931699476 5 3 5 6 2031 0132 2103 0132 0 0 0 0 0 0 0 0 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 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651129343670 0.719542736014 4 6 4 3 2103 2310 1302 0132 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 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651129343670 0.719542736014 6 6 4 5 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.308567888302 0.764080068355 ==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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : 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' : d['c_0011_2'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 2*c_0101_1 - 3, c_0011_0 - 1, c_0011_2 - c_0101_1, c_0011_5 - 1, c_0011_6 + c_0101_1, c_0101_0 + 1, c_0101_1^2 - c_0101_1 - 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 2*c_0101_1 - 3, c_0011_0 - 1, c_0011_2 + c_0101_1, c_0011_5 + 1, c_0011_6 + c_0101_1, c_0101_0 - 1, c_0101_1^2 + c_0101_1 - 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 7599864/13307*c_0101_6^8 - 34881991/13307*c_0101_6^7 + 4421205/1901*c_0101_6^6 + 6730172/13307*c_0101_6^5 + 221464517/13307*c_0101_6^4 - 783141725/13307*c_0101_6^3 + 869558038/13307*c_0101_6^2 - 77379655/13307*c_0101_6 - 47285262/13307, c_0011_0 - 1, c_0011_2 + 101257/53228*c_0101_6^8 - 117612/13307*c_0101_6^7 + 31549/3802*c_0101_6^6 + 53037/53228*c_0101_6^5 + 1477321/26614*c_0101_6^4 - 10591493/53228*c_0101_6^3 + 12265297/53228*c_0101_6^2 - 2010961/53228*c_0101_6 - 310661/53228, c_0011_5 + 29749/53228*c_0101_1*c_0101_6^8 - 34315/13307*c_0101_1*c_0101_6^7 + 9073/3802*c_0101_1*c_0101_6^6 + 15457/53228*c_0101_1*c_0101_6^5 + 434991/26614*c_0101_1*c_0101_6^4 - 3100393/53228*c_0101_1*c_0101_6^3 + 3551925/53228*c_0101_1*c_0101_6^2 - 544113/53228*c_0101_1*c_0101_6 - 70073/53228*c_0101_1, c_0011_6 - 58327/26614*c_0101_1*c_0101_6^8 + 136053/13307*c_0101_1*c_0101_6^7 - 18482/1901*c_0101_1*c_0101_6^6 - 29453/26614*c_0101_1*c_0101_6^5 - 850390/13307*c_0101_1*c_0101_6^4 + 6140695/26614*c_0101_1*c_0101_6^3 - 7163593/26614*c_0101_1*c_0101_6^2 + 1220119/26614*c_0101_1*c_0101_6 + 167599/26614*c_0101_1, c_0101_0 - 101257/53228*c_0101_1*c_0101_6^8 + 117612/13307*c_0101_1*c_0101_6^7 - 31549/3802*c_0101_1*c_0101_6^6 - 53037/53228*c_0101_1*c_0101_6^5 - 1477321/26614*c_0101_1*c_0101_6^4 + 10591493/53228*c_0101_1*c_0101_6^3 - 12265297/53228*c_0101_1*c_0101_6^2 + 2010961/53228*c_0101_1*c_0101_6 + 257433/53228*c_0101_1, c_0101_1^2 + 21463/53228*c_0101_6^8 - 23715/13307*c_0101_6^7 + 5405/3802*c_0101_6^6 + 8119/53228*c_0101_6^5 + 320631/26614*c_0101_6^4 - 2058635/53228*c_0101_6^3 + 2295371/53228*c_0101_6^2 - 369555/53228*c_0101_6 - 86419/53228, c_0101_6^9 - 5*c_0101_6^8 + 6*c_0101_6^7 - c_0101_6^6 + 29*c_0101_6^5 - 115*c_0101_6^4 + 158*c_0101_6^3 - 62*c_0101_6^2 + 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB