Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 2816883553] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0288 geometric_solution 4.33246873 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 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 1 0 -1 1 0 -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 0 0.298674447587 0.221603692967 0 4 4 3 0132 0132 3201 1230 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 -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 0.084200823077 0.810009291480 5 0 0 5 0132 0132 1023 1023 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 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 1.182963534076 1.172955096856 1 5 0 5 3012 1230 0132 0321 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 1 -1 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 1.296432504215 0.409644607455 1 1 6 6 2310 0132 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 3.428671929717 1.916875314345 2 3 3 2 0132 0321 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.182963534076 1.172955096856 6 4 6 4 2031 2310 1302 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 -0.610864139627 0.200211194548 ==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_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} 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_6, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 2364265*c_0101_5^16 + 2672074*c_0101_5^15 - 3507671*c_0101_5^14 - 4275618*c_0101_5^13 - 9058574*c_0101_5^12 + 30949922*c_0101_5^11 - 48262428*c_0101_5^10 + 88685003*c_0101_5^9 - 138721051*c_0101_5^8 + 160190426*c_0101_5^7 - 152601619*c_0101_5^6 + 125005378*c_0101_5^5 - 80869295*c_0101_5^4 + 37243641*c_0101_5^3 - 11200132*c_0101_5^2 + 1961479*c_0101_5 - 151820, c_0011_0 - 1, c_0011_3 + 19*c_0101_5^16 + 26*c_0101_5^15 - 18*c_0101_5^14 - 30*c_0101_5^13 - 77*c_0101_5^12 + 226*c_0101_5^11 - 354*c_0101_5^10 + 660*c_0101_5^9 - 1006*c_0101_5^8 + 1147*c_0101_5^7 - 1084*c_0101_5^6 + 880*c_0101_5^5 - 558*c_0101_5^4 + 254*c_0101_5^3 - 74*c_0101_5^2 + 13*c_0101_5 - 1, c_0011_6 - 172482*c_0101_5^16 - 197116*c_0101_5^15 + 250149*c_0101_5^14 + 307857*c_0101_5^13 + 662427*c_0101_5^12 - 2244456*c_0101_5^11 + 3511494*c_0101_5^10 - 6448640*c_0101_5^9 + 10075910*c_0101_5^8 - 11637351*c_0101_5^7 + 11085627*c_0101_5^6 - 9077366*c_0101_5^5 + 5872158*c_0101_5^4 - 2704940*c_0101_5^3 + 813261*c_0101_5^2 - 142202*c_0101_5 + 10960, c_0101_1 + 399*c_0101_5^16 + 527*c_0101_5^15 - 423*c_0101_5^14 - 657*c_0101_5^13 - 1614*c_0101_5^12 + 4826*c_0101_5^11 - 7580*c_0101_5^10 + 14068*c_0101_5^9 - 21578*c_0101_5^8 + 24641*c_0101_5^7 - 23357*c_0101_5^6 + 18971*c_0101_5^5 - 12107*c_0101_5^4 + 5503*c_0101_5^3 - 1639*c_0101_5^2 + 284*c_0101_5 - 22, c_0101_2 + c_0101_5, c_0101_4 - 4028*c_0101_5^16 - 4923*c_0101_5^15 + 4983*c_0101_5^14 + 6619*c_0101_5^13 + 15798*c_0101_5^12 - 50474*c_0101_5^11 + 80449*c_0101_5^10 - 148048*c_0101_5^9 + 229480*c_0101_5^8 - 265500*c_0101_5^7 + 253989*c_0101_5^6 - 208187*c_0101_5^5 + 135217*c_0101_5^4 - 63210*c_0101_5^3 + 19627*c_0101_5^2 - 3643*c_0101_5 + 312, c_0101_5^17 + 7/19*c_0101_5^16 - 44/19*c_0101_5^15 - 12/19*c_0101_5^14 - 47/19*c_0101_5^13 + 303/19*c_0101_5^12 - 580/19*c_0101_5^11 + 1014/19*c_0101_5^10 - 1666/19*c_0101_5^9 + 2153/19*c_0101_5^8 - 2231/19*c_0101_5^7 + 1964/19*c_0101_5^6 - 1438/19*c_0101_5^5 + 812/19*c_0101_5^4 - 328/19*c_0101_5^3 + 88/19*c_0101_5^2 - 14/19*c_0101_5 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB