Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 1528481666] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1817 geometric_solution 5.47637710 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.513873606678 0.404157433531 0 3 2 4 0132 0132 1230 0132 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 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 0.797701432837 0.945598094410 3 0 4 1 3201 0132 3201 3012 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 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 0.797701432837 0.945598094410 3 1 3 2 2031 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0.130910198714 1.214759102677 2 5 1 5 2310 0132 0132 2310 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 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 1.741350967098 0.670257692193 4 4 6 6 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -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 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234057743254 0.394607546192 5 6 5 6 2310 1302 0132 2031 0 0 0 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -1.880598175609 2.038323170934 ==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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/2, c_0011_0 - 1, c_0011_4 - 1, c_0011_6 + 1, c_0101_0 - 1, c_0101_1 + c_0101_2, c_0101_2^2 - 2, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 662255396/66064663*c_0101_6^12 - 152922935/9437809*c_0101_6^11 + 11539001762/66064663*c_0101_6^10 - 6761835104/66064663*c_0101_6^9 - 35864775784/66064663*c_0101_6^8 + 6532875806/9437809*c_0101_6^7 - 835096731/9437809*c_0101_6^6 - 8754852096/66064663*c_0101_6^5 + 1936919804/9437809*c_0101_6^4 - 18085703309/66064663*c_0101_6^3 + 7976888844/66064663*c_0101_6^2 - 76401649/66064663*c_0101_6 - 1749588378/66064663, c_0011_0 - 1, c_0011_4 + 1087474/66064663*c_0101_6^12 + 1005182/9437809*c_0101_6^11 - 1613726/66064663*c_0101_6^10 - 52689519/66064663*c_0101_6^9 - 4853216/66064663*c_0101_6^8 + 13017364/9437809*c_0101_6^7 + 9968517/9437809*c_0101_6^6 + 172823386/66064663*c_0101_6^5 - 30648424/9437809*c_0101_6^4 - 195962259/66064663*c_0101_6^3 + 97837192/66064663*c_0101_6^2 - 8866742/66064663*c_0101_6 + 19797622/66064663, c_0011_6 - 20649067/66064663*c_0101_6^12 - 6096777/9437809*c_0101_6^11 + 338707237/66064663*c_0101_6^10 - 65547429/66064663*c_0101_6^9 - 1122033855/66064663*c_0101_6^8 + 139686267/9437809*c_0101_6^7 + 16091239/9437809*c_0101_6^6 - 337713457/66064663*c_0101_6^5 + 79426437/9437809*c_0101_6^4 - 342326413/66064663*c_0101_6^3 + 17906071/66064663*c_0101_6^2 + 70887220/66064663*c_0101_6 - 50075815/66064663, c_0101_0 - 32744972/66064663*c_0101_6^12 - 8622567/9437809*c_0101_6^11 + 548383944/66064663*c_0101_6^10 - 237679339/66064663*c_0101_6^9 - 1716581889/66064663*c_0101_6^8 + 284757913/9437809*c_0101_6^7 - 33756688/9437809*c_0101_6^6 - 601682023/66064663*c_0101_6^5 + 111877727/9437809*c_0101_6^4 - 691843487/66064663*c_0101_6^3 + 240174182/66064663*c_0101_6^2 + 162357812/66064663*c_0101_6 - 55660756/66064663, c_0101_1 - 54361/63341*c_0101_2*c_0101_6^12 - 110167/63341*c_0101_2*c_0101_6^11 + 891255/63341*c_0101_2*c_0101_6^10 - 225558/63341*c_0101_2*c_0101_6^9 - 2903136/63341*c_0101_2*c_0101_6^8 + 2719804/63341*c_0101_2*c_0101_6^7 + 207980/63341*c_0101_2*c_0101_6^6 - 813526/63341*c_0101_2*c_0101_6^5 + 844627/63341*c_0101_2*c_0101_6^4 - 964160/63341*c_0101_2*c_0101_6^3 + 438320/63341*c_0101_2*c_0101_6^2 + 229726/63341*c_0101_2*c_0101_6 - 117121/63341*c_0101_2, c_0101_2^2 + 1087474/66064663*c_0101_6^12 + 1005182/9437809*c_0101_6^11 - 1613726/66064663*c_0101_6^10 - 52689519/66064663*c_0101_6^9 - 4853216/66064663*c_0101_6^8 + 13017364/9437809*c_0101_6^7 + 9968517/9437809*c_0101_6^6 + 172823386/66064663*c_0101_6^5 - 30648424/9437809*c_0101_6^4 - 195962259/66064663*c_0101_6^3 + 97837192/66064663*c_0101_6^2 - 8866742/66064663*c_0101_6 - 46267041/66064663, c_0101_6^13 + 2*c_0101_6^12 - 17*c_0101_6^11 + 3*c_0101_6^10 + 61*c_0101_6^9 - 47*c_0101_6^8 - 28*c_0101_6^7 + 19*c_0101_6^6 - 11*c_0101_6^5 + 20*c_0101_6^4 + 2*c_0101_6^3 - 7*c_0101_6^2 + 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB