Magma V2.19-8 Wed Aug 21 2013 00:52:44 on localhost [Seed = 2530247458] Type ? for help. Type -D to quit. Loading file "L12n1056__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1056 geometric_solution 12.50503674 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 1 0 1 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 -1 1 1 0 -1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957170185383 0.741809658663 0 2 5 4 0132 0213 0132 0132 1 0 0 1 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 -1 0 1 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730283587264 0.837723965986 0 0 1 3 2310 0132 0213 0213 1 0 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 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347290360077 0.505851856432 4 5 0 2 0132 0132 0132 0213 1 0 0 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 1 -1 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 0.730283587264 0.837723965986 3 6 1 7 0132 0132 0132 0132 1 0 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588432973863 1.058622507639 7 3 6 1 0132 0132 0132 0132 1 0 1 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 1 0 0 0 1 -1 -1 0 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588432973863 1.058622507639 8 4 9 5 0132 0132 0132 0132 1 0 0 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 1 -1 1 0 0 -1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646818814576 0.600543808988 5 10 4 11 0132 0132 0132 0132 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646818814576 0.600543808988 6 10 12 11 0132 1023 0132 0321 1 0 1 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 1 -6 5 -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 0.395591593451 0.683274173831 12 10 11 6 1230 0321 0132 0132 1 0 1 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 6 -5 -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 0.723000947476 0.686906641381 8 7 12 9 1023 0132 0321 0321 1 1 1 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 6 -6 -1 0 1 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 0.723000947476 0.686906641381 12 8 7 9 0132 0321 0132 0132 1 0 1 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 -5 0 5 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 0.395591593451 0.683274173831 11 9 10 8 0132 3012 0321 0132 1 0 0 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 -6 6 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 -0.188039528249 1.011011176432 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_9']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0011_9']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_10, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 689269358777/3220875008*c_1100_1^17 - 2564489245089/1610437504*c_1100_1^16 + 10269504032707/1610437504*c_1100_1^15 - 55184904942165/3220875008*c_1100_1^14 + 28295130689061/805218752*c_1100_1^13 - 187909506783839/3220875008*c_1100_1^12 + 134612677385949/1610437504*c_1100_1^11 - 10895387188055/100652344*c_1100_1^10 + 426954599121673/3220875008*c_1100_1^9 - 492975228234485/3220875008*c_1100_1^8 + 265984794563931/1610437504*c_1100_1^7 - 262004706406483/1610437504*c_1100_1^6 + 471849741398365/3220875008*c_1100_1^5 - 386134825558939/3220875008*c_1100_1^4 + 279695845383509/3220875008*c_1100_1^3 - 41872563265489/805218752*c_1100_1^2 + 278917900246/12581543*c_1100_1 - 2233529466139/402609376, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 1891903/9529216*c_1100_1^17 - 9327447/4764608*c_1100_1^16 + 43350389/4764608*c_1100_1^15 - 259677699/9529216*c_1100_1^14 + 141575235/2382304*c_1100_1^13 - 979934473/9529216*c_1100_1^12 + 713683963/4764608*c_1100_1^11 - 14587948/74447*c_1100_1^10 + 2294730927/9529216*c_1100_1^9 - 2695152803/9529216*c_1100_1^8 + 1469266589/4764608*c_1100_1^7 - 1467385637/4764608*c_1100_1^6 + 2658934971/9529216*c_1100_1^5 - 2205417485/9529216*c_1100_1^4 + 1627027299/9529216*c_1100_1^3 - 246535711/2382304*c_1100_1^2 + 13282457/297788*c_1100_1 - 12172717/1191152, c_0011_9 + 1793545/9529216*c_1100_1^17 - 5052209/4764608*c_1100_1^16 + 14622563/4764608*c_1100_1^15 - 49661605/9529216*c_1100_1^14 + 13409925/2382304*c_1100_1^13 - 23295983/9529216*c_1100_1^12 - 14429587/4764608*c_1100_1^11 + 667851/74447*c_1100_1^10 - 133526247/9529216*c_1100_1^9 + 214051963/9529216*c_1100_1^8 - 154832325/4764608*c_1100_1^7 + 196938829/4764608*c_1100_1^6 - 424623443/9529216*c_1100_1^5 + 415423669/9529216*c_1100_1^4 - 376297019/9529216*c_1100_1^3 + 74822007/2382304*c_1100_1^2 - 5336965/297788*c_1100_1 + 5873845/1191152, c_0101_0 - 1, c_0101_1 + 4167395/9529216*c_1100_1^17 - 13639931/4764608*c_1100_1^16 + 47878337/4764608*c_1100_1^15 - 221779863/9529216*c_1100_1^14 + 98423847/2382304*c_1100_1^13 - 569437637/9529216*c_1100_1^12 + 367180175/4764608*c_1100_1^11 - 6943788/74447*c_1100_1^10 + 1048769427/9529216*c_1100_1^9 - 1136449271/9529216*c_1100_1^8 + 559631593/4764608*c_1100_1^7 - 492375793/4764608*c_1100_1^6 + 785466095/9529216*c_1100_1^5 - 560465529/9529216*c_1100_1^4 + 297152311/9529216*c_1100_1^3 - 18743891/2382304*c_1100_1^2 - 1160427/297788*c_1100_1 + 3837927/1191152, c_0101_10 + 1029145/4764608*c_1100_1^17 - 5020289/2382304*c_1100_1^16 + 23137939/2382304*c_1100_1^15 - 138746165/4764608*c_1100_1^14 + 76366949/1191152*c_1100_1^13 - 536872287/4764608*c_1100_1^12 + 396633949/2382304*c_1100_1^11 - 16364469/74447*c_1100_1^10 + 1290778025/4764608*c_1100_1^9 - 1519273301/4764608*c_1100_1^8 + 833758731/2382304*c_1100_1^7 - 843055139/2382304*c_1100_1^6 + 1540526909/4764608*c_1100_1^5 - 1283784635/4764608*c_1100_1^4 + 961377749/4764608*c_1100_1^3 - 150587369/1191152*c_1100_1^2 + 8561899/148894*c_1100_1 - 8139891/595576, c_0101_11 + 3029649/4764608*c_1100_1^17 - 11483689/2382304*c_1100_1^16 + 45614363/2382304*c_1100_1^15 - 240728781/4764608*c_1100_1^14 + 119999541/1191152*c_1100_1^13 - 774686055/4764608*c_1100_1^12 + 540432069/2382304*c_1100_1^11 - 21531736/74447*c_1100_1^10 + 1671750177/4764608*c_1100_1^9 - 1915801037/4764608*c_1100_1^8 + 1014449091/2382304*c_1100_1^7 - 979880715/2382304*c_1100_1^6 + 1722200533/4764608*c_1100_1^5 - 1382941507/4764608*c_1100_1^4 + 966854413/4764608*c_1100_1^3 - 133830953/1191152*c_1100_1^2 + 6209909/148894*c_1100_1 - 4762971/595576, c_1001_1 + 4167395/9529216*c_1100_1^17 - 13639931/4764608*c_1100_1^16 + 47878337/4764608*c_1100_1^15 - 221779863/9529216*c_1100_1^14 + 98423847/2382304*c_1100_1^13 - 569437637/9529216*c_1100_1^12 + 367180175/4764608*c_1100_1^11 - 6943788/74447*c_1100_1^10 + 1048769427/9529216*c_1100_1^9 - 1136449271/9529216*c_1100_1^8 + 559631593/4764608*c_1100_1^7 - 492375793/4764608*c_1100_1^6 + 785466095/9529216*c_1100_1^5 - 560465529/9529216*c_1100_1^4 + 297152311/9529216*c_1100_1^3 - 18743891/2382304*c_1100_1^2 - 1160427/297788*c_1100_1 + 2646775/1191152, c_1001_10 + 1891903/9529216*c_1100_1^17 - 9327447/4764608*c_1100_1^16 + 43350389/4764608*c_1100_1^15 - 259677699/9529216*c_1100_1^14 + 141575235/2382304*c_1100_1^13 - 979934473/9529216*c_1100_1^12 + 713683963/4764608*c_1100_1^11 - 14587948/74447*c_1100_1^10 + 2294730927/9529216*c_1100_1^9 - 2695152803/9529216*c_1100_1^8 + 1469266589/4764608*c_1100_1^7 - 1467385637/4764608*c_1100_1^6 + 2658934971/9529216*c_1100_1^5 - 2205417485/9529216*c_1100_1^4 + 1627027299/9529216*c_1100_1^3 - 246535711/2382304*c_1100_1^2 + 13282457/297788*c_1100_1 - 12172717/1191152, c_1001_4 - 4167395/9529216*c_1100_1^17 + 13639931/4764608*c_1100_1^16 - 47878337/4764608*c_1100_1^15 + 221779863/9529216*c_1100_1^14 - 98423847/2382304*c_1100_1^13 + 569437637/9529216*c_1100_1^12 - 367180175/4764608*c_1100_1^11 + 6943788/74447*c_1100_1^10 - 1048769427/9529216*c_1100_1^9 + 1136449271/9529216*c_1100_1^8 - 559631593/4764608*c_1100_1^7 + 492375793/4764608*c_1100_1^6 - 785466095/9529216*c_1100_1^5 + 560465529/9529216*c_1100_1^4 - 297152311/9529216*c_1100_1^3 + 18743891/2382304*c_1100_1^2 + 1160427/297788*c_1100_1 - 3837927/1191152, c_1001_6 + 4167395/9529216*c_1100_1^17 - 13639931/4764608*c_1100_1^16 + 47878337/4764608*c_1100_1^15 - 221779863/9529216*c_1100_1^14 + 98423847/2382304*c_1100_1^13 - 569437637/9529216*c_1100_1^12 + 367180175/4764608*c_1100_1^11 - 6943788/74447*c_1100_1^10 + 1048769427/9529216*c_1100_1^9 - 1136449271/9529216*c_1100_1^8 + 559631593/4764608*c_1100_1^7 - 492375793/4764608*c_1100_1^6 + 785466095/9529216*c_1100_1^5 - 560465529/9529216*c_1100_1^4 + 297152311/9529216*c_1100_1^3 - 21126195/2382304*c_1100_1^2 - 862639/297788*c_1100_1 + 2646775/1191152, c_1100_1^18 - 8*c_1100_1^17 + 34*c_1100_1^16 - 97*c_1100_1^15 + 210*c_1100_1^14 - 367*c_1100_1^13 + 548*c_1100_1^12 - 732*c_1100_1^11 + 913*c_1100_1^10 - 1075*c_1100_1^9 + 1188*c_1100_1^8 - 1210*c_1100_1^7 + 1129*c_1100_1^6 - 961*c_1100_1^5 + 735*c_1100_1^4 - 482*c_1100_1^3 + 248*c_1100_1^2 - 88*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB