Magma V2.19-8 Tue Aug 20 2013 16:19:11 on localhost [Seed = 2261195774] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3313 geometric_solution 6.44537626 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 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 0.640192077256 0.793092079068 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 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 0.511366375595 0.787152104026 3 0 4 5 3201 0132 3201 2310 0 0 0 0 0 1 -1 0 -1 0 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511366375595 0.787152104026 3 1 3 2 2031 0132 1302 2310 0 0 0 0 0 1 0 -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 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 0.464441500217 1.044830367022 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 1 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 -1 1 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 1.203717046844 1.268191920194 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381105945604 0.757684611766 4 4 6 6 3201 0132 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462120247254 0.229742987022 ==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' : negation(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' : 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' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), '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_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0011_4']), '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_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_5'], '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_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_5'], '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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 159448/15405*c_0110_6^10 - 3969488/15405*c_0110_6^8 + 2054393/1185*c_0110_6^6 - 1156971/395*c_0110_6^4 + 1748609/1185*c_0110_6^2 - 46993/395, c_0011_0 - 1, c_0011_4 + 52/395*c_0110_6^11 - 3958/1185*c_0110_6^9 + 27968/1185*c_0110_6^7 - 56279/1185*c_0110_6^5 + 13633/395*c_0110_6^3 - 8252/1185*c_0110_6, c_0101_0 - 101/1185*c_0110_6^11 + 866/395*c_0110_6^9 - 18938/1185*c_0110_6^7 + 41134/1185*c_0110_6^5 - 29404/1185*c_0110_6^3 + 4897/1185*c_0110_6, c_0101_1 - 98/1185*c_0110_6^10 + 2452/1185*c_0110_6^8 - 16729/1185*c_0110_6^6 + 10027/395*c_0110_6^4 - 19297/1185*c_0110_6^2 + 1071/395, c_0101_2 + 221/1185*c_0110_6^11 - 1103/237*c_0110_6^9 + 12461/395*c_0110_6^7 - 13132/237*c_0110_6^5 + 13553/395*c_0110_6^3 - 1685/237*c_0110_6, c_0101_5 + 13/237*c_0110_6^10 - 519/395*c_0110_6^8 + 1883/237*c_0110_6^6 - 3127/395*c_0110_6^4 - 16/79*c_0110_6^2 + 1012/1185, c_0110_6^12 - 26*c_0110_6^10 + 195*c_0110_6^8 - 468*c_0110_6^6 + 455*c_0110_6^4 - 169*c_0110_6^2 + 13 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 508633438449/124641891872*c_0110_6^16 + 5082254138899/124641891872*c_0110_6^14 - 20341898650993/62320945936*c_0110_6^12 + 173429261276005/124641891872*c_0110_6^10 - 149313468681387/62320945936*c_0110_6^8 + 202557656334569/124641891872*c_0110_6^6 - 13116699765147/62320945936*c_0110_6^4 - 5159248329089/31160472968*c_0110_6^2 - 3473938704613/124641891872, c_0011_0 - 1, c_0011_4 - 279796163/7790118242*c_0110_6^17 + 3006494215/7790118242*c_0110_6^15 - 12387348806/3895059121*c_0110_6^13 + 114961323391/7790118242*c_0110_6^11 - 128760307821/3895059121*c_0110_6^9 + 320107535997/7790118242*c_0110_6^7 - 107544118651/3895059121*c_0110_6^5 + 23959547056/3895059121*c_0110_6^3 + 9083192797/7790118242*c_0110_6, c_0101_0 - 35631789/3895059121*c_0110_6^17 + 203478529/3895059121*c_0110_6^15 - 1416430616/3895059121*c_0110_6^13 + 785315648/3895059121*c_0110_6^11 + 24492527025/3895059121*c_0110_6^9 - 49626312910/3895059121*c_0110_6^7 + 26757508686/3895059121*c_0110_6^5 - 5369080227/3895059121*c_0110_6^3 + 6670933590/3895059121*c_0110_6, c_0101_1 - 56472893/3895059121*c_0110_6^16 + 405317147/3895059121*c_0110_6^14 - 2872372987/3895059121*c_0110_6^12 + 6121669779/3895059121*c_0110_6^10 + 24339105028/3895059121*c_0110_6^8 - 80492898530/3895059121*c_0110_6^6 + 59675028991/3895059121*c_0110_6^4 - 5209524979/3895059121*c_0110_6^2 - 2133873463/3895059121, c_0101_2 - 91406045/7790118242*c_0110_6^17 + 1026226567/7790118242*c_0110_6^15 - 4309109961/3895059121*c_0110_6^13 + 41878697485/7790118242*c_0110_6^11 - 52786707034/3895059121*c_0110_6^9 + 156519564725/7790118242*c_0110_6^7 - 64527209475/3895059121*c_0110_6^5 + 23315866350/3895059121*c_0110_6^3 + 3727250817/7790118242*c_0110_6, c_0101_5 - 83815023/3895059121*c_0110_6^16 + 794295888/3895059121*c_0110_6^14 - 6379862575/3895059121*c_0110_6^12 + 26075604754/3895059121*c_0110_6^10 - 42000047227/3895059121*c_0110_6^8 + 36187827476/3895059121*c_0110_6^6 - 18786982376/3895059121*c_0110_6^4 + 4437135268/3895059121*c_0110_6^2 - 1582712311/3895059121, c_0110_6^18 - 11*c_0110_6^16 + 90*c_0110_6^14 - 421*c_0110_6^12 + 926*c_0110_6^10 - 969*c_0110_6^8 + 414*c_0110_6^6 + 20*c_0110_6^4 - 43*c_0110_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB