Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 3297073191] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2013 geometric_solution 5.56288893 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.117685565852 0.767216030764 0 0 3 2 0132 2310 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.840730028824 0.712250342050 4 3 1 5 0132 3012 0132 0132 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746976668988 1.285587543715 2 4 5 1 1230 0132 3201 0132 0 0 0 0 0 1 0 -1 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 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 0.746976668988 1.285587543715 2 3 4 4 0132 0132 2031 1302 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804661640684 1.273450313177 3 6 2 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.617644733284 0.592029724546 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546430748093 0.126286954767 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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_3'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_2']), '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_5, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 251*c_0110_6^10 + 1563*c_0110_6^9 - 3326*c_0110_6^8 - 9041*c_0110_6^7 + 5477*c_0110_6^6 + 12645*c_0110_6^5 - 1594*c_0110_6^4 - 5957*c_0110_6^3 - 558*c_0110_6^2 + 858*c_0110_6 + 178, c_0011_0 - 1, c_0011_2 - 8*c_0110_6^10 - 41*c_0110_6^9 + 161*c_0110_6^8 + 170*c_0110_6^7 - 504*c_0110_6^6 - 183*c_0110_6^5 + 546*c_0110_6^4 + 71*c_0110_6^3 - 240*c_0110_6^2 - 9*c_0110_6 + 36, c_0011_5 - 56*c_0110_6^10 - 301*c_0110_6^9 + 1035*c_0110_6^8 + 1355*c_0110_6^7 - 2904*c_0110_6^6 - 1557*c_0110_6^5 + 2730*c_0110_6^4 + 636*c_0110_6^3 - 1008*c_0110_6^2 - 84*c_0110_6 + 126, c_0101_0 - c_0110_6^10 - 5*c_0110_6^9 + 21*c_0110_6^8 + 20*c_0110_6^7 - 70*c_0110_6^6 - 21*c_0110_6^5 + 84*c_0110_6^4 + 8*c_0110_6^3 - 45*c_0110_6^2 - c_0110_6 + 9, c_0101_3 - 70*c_0110_6^10 - 385*c_0110_6^9 + 1240*c_0110_6^8 + 1815*c_0110_6^7 - 3321*c_0110_6^6 - 2178*c_0110_6^5 + 2976*c_0110_6^4 + 924*c_0110_6^3 - 1050*c_0110_6^2 - 126*c_0110_6 + 126, c_0101_4 - 1, c_0110_6^11 + 6*c_0110_6^10 - 15*c_0110_6^9 - 35*c_0110_6^8 + 35*c_0110_6^7 + 56*c_0110_6^6 - 28*c_0110_6^5 - 36*c_0110_6^4 + 9*c_0110_6^3 + 10*c_0110_6^2 - c_0110_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 234749160516479857067/5326514394417636376*c_0110_6^13 - 1898113580641381398245/2663257197208818188*c_0110_6^12 + 2687031765025457595507/1331628598604409094*c_0110_6^11 + 4252999591756780785290/665814299302204547*c_0110_6^10 + 24731489625101807867593/2663257197208818188*c_0110_6^9 + 10325758673471665234847/5326514394417636376*c_0110_6^8 + 85932515593947543935323/5326514394417636376*c_0110_6^7 + 561239668586361684888/665814299302204547*c_0110_6^6 + 132936682723110106461189/5326514394417636376*c_0110_6^5 + 9966382491982416946441/665814299302204547*c_0110_6^4 + 1195969323221785469777/1331628598604409094*c_0110_6^3 + 20730236882293255039805/5326514394417636376*c_0110_6^2 - 1179206519014097842681/1331628598604409094*c_0110_6 + 788357357140806830373/5326514394417636376, c_0011_0 - 1, c_0011_2 + 28003381761598552/665814299302204547*c_0110_6^13 - 879071341468577385/1331628598604409094*c_0110_6^12 + 1067608344937276661/665814299302204547*c_0110_6^11 + 9309587236730546913/1331628598604409094*c_0110_6^10 + 7870155427404829852/665814299302204547*c_0110_6^9 + 4182885130565165349/665814299302204547*c_0110_6^8 + 21801081002938447429/1331628598604409094*c_0110_6^7 + 10303011118402187701/1331628598604409094*c_0110_6^6 + 16046897972139502165/665814299302204547*c_0110_6^5 + 33853677855717486849/1331628598604409094*c_0110_6^4 + 10059787508456520713/1331628598604409094*c_0110_6^3 + 6727330978171458675/1331628598604409094*c_0110_6^2 + 23071103416883430/665814299302204547*c_0110_6 - 438298139426455283/665814299302204547, c_0011_5 - 65836393518165254/665814299302204547*c_0110_6^13 + 1036222767122404047/665814299302204547*c_0110_6^12 - 5118127556692693479/1331628598604409094*c_0110_6^11 - 21536053484063165929/1331628598604409094*c_0110_6^10 - 36430597272748009239/1331628598604409094*c_0110_6^9 - 19169555242241893935/1331628598604409094*c_0110_6^8 - 26190605478277783012/665814299302204547*c_0110_6^7 - 22941331097917092899/1331628598604409094*c_0110_6^6 - 38985786631769868910/665814299302204547*c_0110_6^5 - 75795384023978233425/1331628598604409094*c_0110_6^4 - 24729368512196820235/1331628598604409094*c_0110_6^3 - 7523093439912191773/665814299302204547*c_0110_6^2 - 207825412751395393/665814299302204547*c_0110_6 + 61919901544155399/1331628598604409094, c_0101_0 - 20174243112433317/1331628598604409094*c_0110_6^13 + 344412854197652767/1331628598604409094*c_0110_6^12 - 1228498309864479589/1331628598604409094*c_0110_6^11 - 958709779420724579/665814299302204547*c_0110_6^10 - 1034030983147609633/665814299302204547*c_0110_6^9 + 608648896003955503/665814299302204547*c_0110_6^8 - 4763440123680016233/665814299302204547*c_0110_6^7 + 4754929040989910115/1331628598604409094*c_0110_6^6 - 7882943061930701934/665814299302204547*c_0110_6^5 + 1903063963599730873/1331628598604409094*c_0110_6^4 - 710509813091245413/665814299302204547*c_0110_6^3 - 3379986026962993907/665814299302204547*c_0110_6^2 - 200315942388893571/1331628598604409094*c_0110_6 - 723422030558928169/1331628598604409094, c_0101_3 - 107224133878261491/1331628598604409094*c_0110_6^13 + 1692512392392658523/1331628598604409094*c_0110_6^12 - 2121902252616507078/665814299302204547*c_0110_6^11 - 8680570543044045275/665814299302204547*c_0110_6^10 - 28809218704517039227/1331628598604409094*c_0110_6^9 - 7097202052837928172/665814299302204547*c_0110_6^8 - 21133779091542583160/665814299302204547*c_0110_6^7 - 8736534634709736076/665814299302204547*c_0110_6^6 - 62509081930477273227/1331628598604409094*c_0110_6^5 - 58881807510247359519/1331628598604409094*c_0110_6^4 - 18197898616399459995/1331628598604409094*c_0110_6^3 - 11417944478004354837/1331628598604409094*c_0110_6^2 - 915294606491589967/665814299302204547*c_0110_6 + 232810207967434539/1331628598604409094, c_0101_4 + 28003381761598552/665814299302204547*c_0110_6^13 - 879071341468577385/1331628598604409094*c_0110_6^12 + 1067608344937276661/665814299302204547*c_0110_6^11 + 9309587236730546913/1331628598604409094*c_0110_6^10 + 7870155427404829852/665814299302204547*c_0110_6^9 + 4182885130565165349/665814299302204547*c_0110_6^8 + 21801081002938447429/1331628598604409094*c_0110_6^7 + 10303011118402187701/1331628598604409094*c_0110_6^6 + 16046897972139502165/665814299302204547*c_0110_6^5 + 33853677855717486849/1331628598604409094*c_0110_6^4 + 10059787508456520713/1331628598604409094*c_0110_6^3 + 6727330978171458675/1331628598604409094*c_0110_6^2 + 23071103416883430/665814299302204547*c_0110_6 + 227516159875749264/665814299302204547, c_0110_6^14 - 16*c_0110_6^13 + 43*c_0110_6^12 + 153*c_0110_6^11 + 235*c_0110_6^10 + 78*c_0110_6^9 + 370*c_0110_6^8 + 80*c_0110_6^7 + 564*c_0110_6^6 + 435*c_0110_6^5 + 70*c_0110_6^4 + 85*c_0110_6^3 - 8*c_0110_6^2 - 2*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB