Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 3970789420] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0384 geometric_solution 4.45017377 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 0 1 -1 1 0 0 -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 0.181138823438 0.847996597864 0 4 4 5 0132 0132 3120 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 -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 0.607127159795 1.234847578774 6 0 6 5 0132 0132 1023 3120 0 0 0 0 0 1 -1 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 -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 0.767346129017 0.288933766694 4 0 5 0 0321 2310 2031 0132 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 1 0 -1 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 -1.244032784009 2.042506697960 3 1 1 5 0321 0132 3120 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 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 1.278027034096 0.032790931613 2 4 1 3 3120 2310 0132 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 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 0.100831738347 0.609059107093 2 6 2 6 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.627351858422 0.106478118827 ==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' : 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' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_1001_1']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : d['c_0101_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_5, c_0101_2, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 5291/24*c_1001_1^14 - 13479/8*c_1001_1^13 - 37847/12*c_1001_1^12 + 125707/24*c_1001_1^11 + 226105/12*c_1001_1^10 - 82441/24*c_1001_1^9 - 472883/12*c_1001_1^8 + 14525/4*c_1001_1^7 + 461795/12*c_1001_1^6 - 107921/24*c_1001_1^5 - 111023/6*c_1001_1^4 + 50251/24*c_1001_1^3 + 52643/12*c_1001_1^2 - 3491/12*c_1001_1 - 9727/24, c_0011_0 - 1, c_0011_3 - 549*c_1001_1^14 - 4087*c_1001_1^13 - 7062*c_1001_1^12 + 14358*c_1001_1^11 + 44187*c_1001_1^10 - 16318*c_1001_1^9 - 94735*c_1001_1^8 + 24064*c_1001_1^7 + 89905*c_1001_1^6 - 21918*c_1001_1^5 - 42223*c_1001_1^4 + 8613*c_1001_1^3 + 10055*c_1001_1^2 - 1187*c_1001_1 - 990, c_0011_5 - 441*c_1001_1^14 - 3284*c_1001_1^13 - 5681*c_1001_1^12 + 11514*c_1001_1^11 + 35505*c_1001_1^10 - 13019*c_1001_1^9 - 76057*c_1001_1^8 + 19191*c_1001_1^7 + 72151*c_1001_1^6 - 17497*c_1001_1^5 - 33869*c_1001_1^4 + 6880*c_1001_1^3 + 8062*c_1001_1^2 - 948*c_1001_1 - 793, c_0101_2 - 351*c_1001_1^14 - 2596*c_1001_1^13 - 4395*c_1001_1^12 + 9353*c_1001_1^11 + 27744*c_1001_1^10 - 11600*c_1001_1^9 - 59633*c_1001_1^8 + 17909*c_1001_1^7 + 55785*c_1001_1^6 - 16029*c_1001_1^5 - 25550*c_1001_1^4 + 6146*c_1001_1^3 + 5921*c_1001_1^2 - 827*c_1001_1 - 571, c_0101_3 - 244*c_1001_1^14 - 1816*c_1001_1^13 - 3135*c_1001_1^12 + 6390*c_1001_1^11 + 19634*c_1001_1^10 - 7292*c_1001_1^9 - 42123*c_1001_1^8 + 10757*c_1001_1^7 + 39988*c_1001_1^6 - 9790*c_1001_1^5 - 18787*c_1001_1^4 + 3845*c_1001_1^3 + 4476*c_1001_1^2 - 531*c_1001_1 - 441, c_0101_6 - 831*c_1001_1^14 - 6215*c_1001_1^13 - 10890*c_1001_1^12 + 21451*c_1001_1^11 + 67734*c_1001_1^10 - 22825*c_1001_1^9 - 145017*c_1001_1^8 + 32481*c_1001_1^7 + 139080*c_1001_1^6 - 30334*c_1001_1^5 - 66271*c_1001_1^4 + 12281*c_1001_1^3 + 15955*c_1001_1^2 - 1730*c_1001_1 - 1578, c_1001_1^15 + 8*c_1001_1^14 + 17*c_1001_1^13 - 19*c_1001_1^12 - 95*c_1001_1^11 - 15*c_1001_1^10 + 189*c_1001_1^9 + 52*c_1001_1^8 - 188*c_1001_1^7 - 51*c_1001_1^6 + 99*c_1001_1^5 + 27*c_1001_1^4 - 27*c_1001_1^3 - 8*c_1001_1^2 + 3*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB