Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 2917937527] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0926 geometric_solution 4.82205093 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 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 0.585282065679 0.211907706391 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 0.904156567161 0.335007385405 1 3 3 4 0132 0213 3012 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700550585950 0.715841570549 4 2 2 1 1023 1230 0213 0132 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 1 0 -1 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 0.700550585950 0.715841570549 5 3 2 5 0132 1023 0132 3201 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 -1 0 1 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474653560498 0.667756721235 4 4 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.235079054270 1.061816375723 5 6 6 5 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.620142750641 0.139817391311 ==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' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_3'], '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' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], '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_1']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), '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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 10*c_0101_0*c_0101_1^2 + 257/7*c_0101_0*c_0101_1 - 107/7*c_0101_0, c_0011_0 - 1, c_0011_1 - c_0101_1^2 - 4*c_0101_1 + 3, c_0011_3 - c_0101_0*c_0101_1^2 - 3*c_0101_0*c_0101_1 + 2*c_0101_0, c_0011_6 - c_0101_0*c_0101_1^2 - 4*c_0101_0*c_0101_1 + 2*c_0101_0, c_0101_0^2 + c_0101_1^2 + 4*c_0101_1 - 4, c_0101_1^3 + 3*c_0101_1^2 - 4*c_0101_1 + 1, c_0101_5 + 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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 145/4*c_0101_0*c_0101_5^2 + 262*c_0101_0*c_0101_5 - 71/4*c_0101_0, c_0011_0 - 1, c_0011_1 + 1/2*c_0101_5 - 1/2, c_0011_3 - 1/4*c_0101_0*c_0101_5^2 + 3/2*c_0101_0*c_0101_5 + 3/4*c_0101_0, c_0011_6 - 1/2*c_0101_0*c_0101_5 - 1/2*c_0101_0, c_0101_0^2 - 1/2*c_0101_5 - 1/2, c_0101_1 + 1/4*c_0101_5^2 - c_0101_5 - 1/4, c_0101_5^3 - 7*c_0101_5^2 - c_0101_5 - 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_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 97405601351/188697400*c_0101_0*c_0101_5^8 + 451877326021/188697400*c_0101_0*c_0101_5^7 - 2466762543763/188697400*c_0101_0*c_0101_5^6 + 1307928269247/94348700*c_0101_0*c_0101_5^5 - 1182360998369/94348700*c_0101_0*c_0101_5^4 + 354627874797/37739480*c_0101_0*c_0101_5^3 - 358431478937/37739480*c_0101_0*c_0101_5^2 + 2565703583093/188697400*c_0101_0*c_0101_5 - 533992582503/188697400*c_0101_0, c_0011_0 - 1, c_0011_1 + 226346/943487*c_0101_5^8 - 982379/943487*c_0101_5^7 + 5465189/943487*c_0101_5^6 - 4600069/943487*c_0101_5^5 + 4906564/943487*c_0101_5^4 - 4007608/943487*c_0101_5^3 + 3542002/943487*c_0101_5^2 - 5033500/943487*c_0101_5 + 817701/943487, c_0011_3 - 1682171/1886974*c_0101_0*c_0101_5^8 + 7968747/1886974*c_0101_0*c_0101_5^7 - 43269803/1886974*c_0101_0*c_0101_5^6 + 24462807/943487*c_0101_0*c_0101_5^5 - 21479318/943487*c_0101_0*c_0101_5^4 + 32571945/1886974*c_0101_0*c_0101_5^3 - 32513485/1886974*c_0101_0*c_0101_5^2 + 45268713/1886974*c_0101_0*c_0101_5 - 11222139/1886974*c_0101_0, c_0011_6 + 144059/1886974*c_0101_0*c_0101_5^8 - 738181/1886974*c_0101_0*c_0101_5^7 + 3899469/1886974*c_0101_0*c_0101_5^6 - 2653360/943487*c_0101_0*c_0101_5^5 + 1810253/943487*c_0101_0*c_0101_5^4 - 2879435/1886974*c_0101_0*c_0101_5^3 + 4015381/1886974*c_0101_0*c_0101_5^2 - 5492689/1886974*c_0101_0*c_0101_5 + 2260649/1886974*c_0101_0, c_0101_0^2 - 226346/943487*c_0101_5^8 + 982379/943487*c_0101_5^7 - 5465189/943487*c_0101_5^6 + 4600069/943487*c_0101_5^5 - 4906564/943487*c_0101_5^4 + 4007608/943487*c_0101_5^3 - 3542002/943487*c_0101_5^2 + 5033500/943487*c_0101_5 - 1761188/943487, c_0101_1 - 407565/943487*c_0101_5^8 + 1923699/943487*c_0101_5^7 - 10440852/943487*c_0101_5^6 + 11619299/943487*c_0101_5^5 - 9978440/943487*c_0101_5^4 + 7408531/943487*c_0101_5^3 - 8534311/943487*c_0101_5^2 + 10836849/943487*c_0101_5 - 2865147/943487, c_0101_5^9 - 5*c_0101_5^8 + 27*c_0101_5^7 - 36*c_0101_5^6 + 34*c_0101_5^5 - 27*c_0101_5^4 + 25*c_0101_5^3 - 33*c_0101_5^2 + 15*c_0101_5 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB