Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 3566553569] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2782 geometric_solution 6.01928519 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 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 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 0.827653771736 0.847422216369 0 3 5 4 0132 0132 0132 0132 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 0.563583929062 0.916205660656 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 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 0 0 0 0.563583929062 0.916205660656 6 1 2 6 0132 0132 3201 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 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 0.002547818719 0.557346510410 2 4 1 4 2310 2310 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 0.976284883241 1.190003162667 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 1 -1 0 0 0 0 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 0.197008347388 0.570938930492 3 3 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.233259248360 0.727413340558 ==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' : negation(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' : negation(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_3'], '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' : 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_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0']), '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_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], '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' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1339354369081792/23934863228683*c_0101_6^18 + 844223043709024/2175896657153*c_0101_6^16 - 18890144850155548/23934863228683*c_0101_6^14 + 17304554445513052/23934863228683*c_0101_6^12 - 9531021247333452/23934863228683*c_0101_6^10 + 21738218454878297/95739452914732*c_0101_6^8 - 17328299398962091/95739452914732*c_0101_6^6 - 1998641154820239/47869726457366*c_0101_6^4 + 80031184740637/5631732524396*c_0101_6^2 + 165012832145225/8703586628612, c_0011_0 - 1, c_0011_4 - 354604984176/82819595947*c_0101_6^19 + 2572289141076/82819595947*c_0101_6^17 - 5735597110824/82819595947*c_0101_6^15 + 5832474401835/82819595947*c_0101_6^13 - 13427572678207/331278383788*c_0101_6^11 + 6813079132119/331278383788*c_0101_6^9 - 4605074509995/331278383788*c_0101_6^7 - 1096634887371/331278383788*c_0101_6^5 + 1762552103179/331278383788*c_0101_6^3 + 468216009501/331278383788*c_0101_6, c_0101_0 - 165332904052/82819595947*c_0101_6^19 + 1284323533631/82819595947*c_0101_6^17 - 3256811339608/82819595947*c_0101_6^15 + 15427692586577/331278383788*c_0101_6^13 - 39570909021197/1325113535152*c_0101_6^11 + 18381835322379/1325113535152*c_0101_6^9 - 11876783730205/1325113535152*c_0101_6^7 + 1844416438765/1325113535152*c_0101_6^5 + 3378088491645/1325113535152*c_0101_6^3 + 238314350717/1325113535152*c_0101_6, c_0101_1 - 59475611988/82819595947*c_0101_6^18 + 430246330535/82819595947*c_0101_6^16 - 945608540616/82819595947*c_0101_6^14 + 3609653952889/331278383788*c_0101_6^12 - 6354820834693/1325113535152*c_0101_6^10 + 363747798659/1325113535152*c_0101_6^8 + 1160472332991/1325113535152*c_0101_6^6 - 2275342078659/1325113535152*c_0101_6^4 + 1643275516805/1325113535152*c_0101_6^2 + 198252765529/1325113535152, c_0101_2 - 17757378416/7529054177*c_0101_6^19 + 121683036164/7529054177*c_0101_6^17 - 238399352684/7529054177*c_0101_6^15 + 199214614307/7529054177*c_0101_6^13 - 433779731819/30116216708*c_0101_6^11 + 181382424461/15058108354*c_0101_6^9 - 160042660201/15058108354*c_0101_6^7 - 25983930527/30116216708*c_0101_6^5 + 1506038337/7529054177*c_0101_6^3 + 39619665797/15058108354*c_0101_6, c_0101_3 - 15936646560/7529054177*c_0101_6^18 + 112308871032/7529054177*c_0101_6^16 - 232511648432/7529054177*c_0101_6^14 + 199257139910/7529054177*c_0101_6^12 - 153788093141/15058108354*c_0101_6^10 + 59704897697/15058108354*c_0101_6^8 - 143626562533/30116216708*c_0101_6^6 - 17361176230/7529054177*c_0101_6^4 + 22341885141/15058108354*c_0101_6^2 + 48983431275/30116216708, c_0101_6^20 - 31/4*c_0101_6^18 + 79/4*c_0101_6^16 - 389/16*c_0101_6^14 + 1109/64*c_0101_6^12 - 151/16*c_0101_6^10 + 99/16*c_0101_6^8 - 53/32*c_0101_6^6 - 17/16*c_0101_6^4 - 1/16*c_0101_6^2 + 17/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB