Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 1048552145] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1914 geometric_solution 5.52024156 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.468977336230 0.224447472047 2 0 3 0 0132 2310 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796102697519 0.605866427040 1 3 4 5 0132 0213 0132 0132 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 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 0.596590756620 0.640112962439 5 4 2 1 1023 1023 0213 0132 0 0 0 0 0 0 0 0 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 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 0.596590756620 0.640112962439 3 6 6 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 1.062828827562 0.555265363367 5 3 2 5 3201 1023 0132 2310 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 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 0.066702358162 0.899758276396 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.602855283621 0.320273761421 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 624510248164197380285/434083312481869822491*c_0101_6^16 - 13109361275104720010369/434083312481869822491*c_0101_6^14 - 518433203596897793785640/434083312481869822491*c_0101_6^12 - 3137466751870766109932434/434083312481869822491*c_0101_6^10 + 11399095691822522242088666/434083312481869822491*c_0101_6^8 + 266522239517323882118779/144694437493956607497*c_0101_6^6 - 51360901657279135564824/48231479164652202499*c_0101_6^4 - 201298057044338171046292/434083312481869822491*c_0101_6^2 + 2778047431687052968474/434083312481869822491, c_0011_0 - 1, c_0011_1 - 520758879120684497/48231479164652202499*c_0101_6^16 + 10971504884767753680/48231479164652202499*c_0101_6^14 + 431483960315243318646/48231479164652202499*c_0101_6^12 + 2582582920509657198945/48231479164652202499*c_0101_6^10 - 9722690551642255820840/48231479164652202499*c_0101_6^8 - 31582587701055194621/48231479164652202499*c_0101_6^6 + 817195207467783548572/48231479164652202499*c_0101_6^4 + 116821762188967504311/48231479164652202499*c_0101_6^2 - 45351846658493723137/48231479164652202499, c_0011_3 - 10493422987028091209/48231479164652202499*c_0101_6^17 + 220208888273472270907/48231479164652202499*c_0101_6^15 + 8712761124357901920885/48231479164652202499*c_0101_6^13 + 52761847339581702796737/48231479164652202499*c_0101_6^11 - 191541052147785468092257/48231479164652202499*c_0101_6^9 - 16514746383553338919485/48231479164652202499*c_0101_6^7 + 14968977598047951218690/48231479164652202499*c_0101_6^5 + 3273207531318818738780/48231479164652202499*c_0101_6^3 - 278642574759179768577/48231479164652202499*c_0101_6, c_0101_0 + 538254829542145160/48231479164652202499*c_0101_6^17 - 11631236086102053820/48231479164652202499*c_0101_6^15 - 439863748501984984685/48231479164652202499*c_0101_6^13 - 2427803530020454941449/48231479164652202499*c_0101_6^11 + 11507249935074184156652/48231479164652202499*c_0101_6^9 - 5305395002338931948013/48231479164652202499*c_0101_6^7 - 1082174305168874115120/48231479164652202499*c_0101_6^5 + 16475025651367813166/48231479164652202499*c_0101_6^3 + 96026202613609552315/48231479164652202499*c_0101_6, c_0101_1 + 1340687629011901766/48231479164652202499*c_0101_6^16 - 28222322820379453489/48231479164652202499*c_0101_6^14 - 1111349185185110917381/48231479164652202499*c_0101_6^12 - 6668464683642603148261/48231479164652202499*c_0101_6^10 + 24913291057733916464065/48231479164652202499*c_0101_6^8 + 524382304751651633812/48231479164652202499*c_0101_6^6 - 2075021021131897437457/48231479164652202499*c_0101_6^4 - 322507757858858662950/48231479164652202499*c_0101_6^2 + 38908278944362819494/48231479164652202499, c_0101_4 - 11366656198099854886/48231479164652202499*c_0101_6^17 + 238702287861509053486/48231479164652202499*c_0101_6^15 + 9434281657611812290965/48231479164652202499*c_0101_6^13 + 57012873492469706410614/48231479164652202499*c_0101_6^11 - 208326167522480412586461/48231479164652202499*c_0101_6^9 - 14822197560823019540746/48231479164652202499*c_0101_6^7 + 16423502021489750127935/48231479164652202499*c_0101_6^5 + 3406316808193306238794/48231479164652202499*c_0101_6^3 - 276269417653400082693/48231479164652202499*c_0101_6, c_0101_6^18 - 21*c_0101_6^16 - 830*c_0101_6^14 - 5016*c_0101_6^12 + 18326*c_0101_6^10 + 1303*c_0101_6^8 - 1434*c_0101_6^6 - 284*c_0101_6^4 + 27*c_0101_6^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 17825525817/308945096*c_0101_6^16 - 100862893921/1235780384*c_0101_6^14 + 1298112348491/617890192*c_0101_6^12 + 9632551284675/1235780384*c_0101_6^10 - 707351636385/1235780384*c_0101_6^8 - 8622155274195/1235780384*c_0101_6^6 + 314479754755/308945096*c_0101_6^4 + 931532025323/308945096*c_0101_6^2 - 1368939234547/1235780384, c_0011_0 - 1, c_0011_1 - 28634855/38618137*c_0101_6^16 - 39254640/38618137*c_0101_6^14 + 1045142530/38618137*c_0101_6^12 + 3824258427/38618137*c_0101_6^10 - 479666281/38618137*c_0101_6^8 - 3562445576/38618137*c_0101_6^6 + 627774637/38618137*c_0101_6^4 + 1591154251/38618137*c_0101_6^2 - 579955857/38618137, c_0011_3 - 71096491/77236274*c_0101_6^17 - 110528387/77236274*c_0101_6^15 + 2568207863/77236274*c_0101_6^13 + 4977175747/38618137*c_0101_6^11 + 433719384/38618137*c_0101_6^9 - 7689484517/77236274*c_0101_6^7 + 279724010/38618137*c_0101_6^5 + 3345030391/77236274*c_0101_6^3 - 1053410831/77236274*c_0101_6, c_0101_0 - 68885224/38618137*c_0101_6^17 - 97630932/38618137*c_0101_6^15 + 2508189684/38618137*c_0101_6^13 + 9313585216/38618137*c_0101_6^11 - 666136659/38618137*c_0101_6^9 - 8378479679/38618137*c_0101_6^7 + 1146079937/38618137*c_0101_6^5 + 3658784624/38618137*c_0101_6^3 - 1260486002/38618137*c_0101_6, c_0101_1 + 40250369/38618137*c_0101_6^16 + 58376292/38618137*c_0101_6^14 - 1463047154/38618137*c_0101_6^12 - 5489326789/38618137*c_0101_6^10 + 186470378/38618137*c_0101_6^8 + 4816034103/38618137*c_0101_6^6 - 518305300/38618137*c_0101_6^4 - 2067630373/38618137*c_0101_6^2 + 680530145/38618137, c_0101_4 - 128366201/77236274*c_0101_6^17 - 189037667/77236274*c_0101_6^15 + 4658492923/77236274*c_0101_6^13 + 8801434174/38618137*c_0101_6^11 - 45946897/38618137*c_0101_6^9 - 14814375669/77236274*c_0101_6^7 + 907498647/38618137*c_0101_6^5 + 6527338893/77236274*c_0101_6^3 - 2290558819/77236274*c_0101_6, c_0101_6^18 + c_0101_6^16 - 37*c_0101_6^14 - 120*c_0101_6^12 + 66*c_0101_6^10 + 117*c_0101_6^8 - 68*c_0101_6^6 - 45*c_0101_6^4 + 41*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB