Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 1932718009] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1681 geometric_solution 5.40675919 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 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 -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 0.785727672898 0.855822165305 0 3 2 4 0132 0132 3201 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214335291260 0.877962703621 1 4 0 3 2310 1023 0132 1023 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 -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 0.214335291260 0.877962703621 5 1 5 2 0132 0132 2310 1023 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096385142214 0.924722315438 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 0 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 -0.262421988137 1.074935988564 3 3 6 6 0132 3201 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372872446233 0.235335439470 5 6 5 6 2310 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.446695047666 0.418356895209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : 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' : negation(d['1']), 's_2_2' : negation(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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : 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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 463807838207901152/356894774829461*c_0101_5^20 + 3813027315970519043/356894774829461*c_0101_5^18 - 8252558247744678585/356894774829461*c_0101_5^16 + 5407964952943764405/356894774829461*c_0101_5^14 - 2311430419107627420/356894774829461*c_0101_5^12 + 162333780559775397/32444979529951*c_0101_5^10 + 4890965979017300185/356894774829461*c_0101_5^8 - 3169013064957433428/356894774829461*c_0101_5^6 - 2807166313525709133/356894774829461*c_0101_5^4 + 998781297655172758/356894774829461*c_0101_5^2 - 74636803028375502/356894774829461, c_0011_0 - 1, c_0011_2 + 4592020130268576/32444979529951*c_0101_5^20 - 37766691463490473/32444979529951*c_0101_5^18 + 81803203361631401/32444979529951*c_0101_5^16 - 53628961075542961/32444979529951*c_0101_5^14 + 22857056583288346/32444979529951*c_0101_5^12 - 17829338499535278/32444979529951*c_0101_5^10 - 48461636295590874/32444979529951*c_0101_5^8 + 31460655710012293/32444979529951*c_0101_5^6 + 27986882032197671/32444979529951*c_0101_5^4 - 9802921919447379/32444979529951*c_0101_5^2 + 755725295160935/32444979529951, c_0011_6 - 5385368431552/34479255611*c_0101_5^20 + 44415462006822/34479255611*c_0101_5^18 - 96900345789475/34479255611*c_0101_5^16 + 64693851697756/34479255611*c_0101_5^14 - 27590897508829/34479255611*c_0101_5^12 + 21330230877781/34479255611*c_0101_5^10 + 56597334750340/34479255611*c_0101_5^8 - 38241144489585/34479255611*c_0101_5^6 - 32453183261326/34479255611*c_0101_5^4 + 12149611900186/34479255611*c_0101_5^2 - 1000411589700/34479255611, c_0101_0 - 12205888271882048/32444979529951*c_0101_5^21 + 100605969322905234/32444979529951*c_0101_5^19 - 219253336814535305/32444979529951*c_0101_5^17 + 146480205567167832/32444979529951*c_0101_5^15 - 63096458659613696/32444979529951*c_0101_5^13 + 48040369228941546/32444979529951*c_0101_5^11 + 128032563655431244/32444979529951*c_0101_5^9 - 86231588848120730/32444979529951*c_0101_5^7 - 72727663362906603/32444979529951*c_0101_5^5 + 27764745616685441/32444979529951*c_0101_5^3 - 2392362026401158/32444979529951*c_0101_5, c_0101_1 + 28615538581312/34479255611*c_0101_5^21 - 236022512397874/34479255611*c_0101_5^19 + 515297923805296/34479255611*c_0101_5^17 - 345902267815869/34479255611*c_0101_5^15 + 149067384956681/34479255611*c_0101_5^13 - 113111990807616/34479255611*c_0101_5^11 - 299629932580660/34479255611*c_0101_5^9 + 203941439786430/34479255611*c_0101_5^7 + 170013263959943/34479255611*c_0101_5^5 - 66223135885844/34479255611*c_0101_5^3 + 5617127961490/34479255611*c_0101_5, c_0101_3 + 3397632289088/34479255611*c_0101_5^21 - 27702836799874/34479255611*c_0101_5^19 + 58540976622482/34479255611*c_0101_5^17 - 35394126271256/34479255611*c_0101_5^15 + 14332605797163/34479255611*c_0101_5^13 - 12360084907655/34479255611*c_0101_5^11 - 36829949052621/34479255611*c_0101_5^9 + 20576882168930/34479255611*c_0101_5^7 + 22291265343442/34479255611*c_0101_5^5 - 5366486181630/34479255611*c_0101_5^3 + 240668752924/34479255611*c_0101_5, c_0101_5^22 - 269/32*c_0101_5^20 + 309/16*c_0101_5^18 - 239/16*c_0101_5^16 + 57/8*c_0101_5^14 - 153/32*c_0101_5^12 - 315/32*c_0101_5^10 + 281/32*c_0101_5^8 + 77/16*c_0101_5^6 - 13/4*c_0101_5^4 + 9/16*c_0101_5^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB