Magma V2.19-8 Wed Aug 21 2013 00:53:07 on localhost [Seed = 896737448] Type ? for help. Type -D to quit. Loading file "L12n124__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n124 geometric_solution 12.40477830 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 0 0 1 0 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883788513851 0.668742168710 0 2 6 5 0132 0321 0132 0132 1 1 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 -6 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480015155129 0.591750238966 6 0 7 1 0132 0132 0132 0321 1 1 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 -1 1 0 0 0 1 -1 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960030310259 1.183500477931 8 9 9 0 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -3 2 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 -7 0 0 7 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544446092054 0.719522747453 7 10 0 11 0132 0132 0132 0132 1 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 -1 0 0 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883788513851 0.668742168710 8 9 1 10 2103 0213 0132 0132 1 1 1 1 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333866049004 1.182053294869 2 12 12 1 0132 0132 1302 0132 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039969689741 1.183500477931 4 12 10 2 0132 1302 2103 0132 1 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 1 -1 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 0.960030310259 1.183500477931 3 11 5 11 0132 0321 2103 3120 1 1 0 1 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628140248205 0.992113533198 3 3 5 11 2031 0132 0213 0321 1 1 0 1 0 0 0 0 0 0 0 0 -2 3 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 0 -1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331257831290 0.883788513851 7 4 5 12 2103 0132 0132 1302 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480015155129 0.591750238966 8 9 4 8 3120 0321 0132 0321 1 1 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 0 0 0 0 -1 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 0.544446092054 0.719522747453 6 6 10 7 2031 0132 2031 2031 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028503542437 0.843988440122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0110_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_1001_2']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_0'], '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' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_10'])})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_10, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 47/4736*c_1001_2^5 - 7/592*c_1001_2^4 + 7/296*c_1001_2^3 + 1/148*c_1001_2^2 - 83/2368*c_1001_2 - 49/1184, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + c_1001_2^3 - c_1001_2^2 + 1, c_0011_3 - 1, c_0011_5 + c_1001_2^5 - 2*c_1001_2^4 + c_1001_2^3, c_0101_0 + c_1001_2^2 - 1, c_0101_1 + c_1001_2, c_0101_10 - c_1001_2^4 + 2*c_1001_2^3 - 2*c_1001_2^2 + 1, c_0101_12 - c_1001_2^5 + 2*c_1001_2^4 - 2*c_1001_2^3 - c_1001_2, c_0110_10 + c_1001_2^5 - 2*c_1001_2^4 + 2*c_1001_2^3, c_1001_0 - c_1001_2^4 + 2*c_1001_2^3 - 2*c_1001_2^2 + 1, c_1001_10 + c_1001_2^2 - 1, c_1001_2^6 - 2*c_1001_2^5 + c_1001_2^4 + 2*c_1001_2^3 - 2*c_1001_2^2 + 2 ], 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_10, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 783971069/1807278500*c_1001_2^7 - 734724203/1807278500*c_1001_2^6 + 4996651971/18072785000*c_1001_2^5 - 505110117/1807278500*c_1001_2^4 - 39363104339/9036392500*c_1001_2^3 - 37114566829/9036392500*c_1001_2^2 + 19721429443/18072785000*c_1001_2 + 3082186427/1807278500, c_0011_0 - 1, c_0011_10 - 1900216/3614557*c_1001_2^7 - 2489847/3614557*c_1001_2^6 - 7229428/18072785*c_1001_2^5 - 2856271/3614557*c_1001_2^4 - 97440276/18072785*c_1001_2^3 - 129841526/18072785*c_1001_2^2 - 108341584/18072785*c_1001_2 - 10210087/3614557, c_0011_11 + 133605/212621*c_1001_2^7 + 114965/212621*c_1001_2^6 + 49503/212621*c_1001_2^5 + 183468/212621*c_1001_2^4 + 1256971/212621*c_1001_2^3 + 1339057/212621*c_1001_2^2 + 853535/212621*c_1001_2 + 470097/212621, c_0011_3 - 1, c_0011_5 - 1711728/3614557*c_1001_2^7 - 1714826/3614557*c_1001_2^6 - 9976574/18072785*c_1001_2^5 - 2019338/3614557*c_1001_2^4 - 80802098/18072785*c_1001_2^3 - 102741298/18072785*c_1001_2^2 - 110253202/18072785*c_1001_2 - 11081118/3614557, c_0101_0 - 4000166/3614557*c_1001_2^7 - 4765612/3614557*c_1001_2^6 - 12174878/18072785*c_1001_2^5 - 5024360/3614557*c_1001_2^4 - 204255146/18072785*c_1001_2^3 - 263107041/18072785*c_1001_2^2 - 195001874/18072785*c_1001_2 - 20202757/3614557, c_0101_1 - 475542/3614557*c_1001_2^7 + 353346/3614557*c_1001_2^6 + 293839/18072785*c_1001_2^5 - 1076486/3614557*c_1001_2^4 - 20969002/18072785*c_1001_2^3 + 13244358/18072785*c_1001_2^2 - 5837388/18072785*c_1001_2 - 1727706/3614557, c_0101_10 - 1900216/3614557*c_1001_2^7 - 2489847/3614557*c_1001_2^6 - 7229428/18072785*c_1001_2^5 - 2856271/3614557*c_1001_2^4 - 97440276/18072785*c_1001_2^3 - 129841526/18072785*c_1001_2^2 - 108341584/18072785*c_1001_2 - 13824644/3614557, c_0101_12 - 3521526/3614557*c_1001_2^7 - 4147582/3614557*c_1001_2^6 - 9512733/18072785*c_1001_2^5 - 4939470/3614557*c_1001_2^4 - 181185916/18072785*c_1001_2^3 - 223303826/18072785*c_1001_2^2 - 161399439/18072785*c_1001_2 - 19567130/3614557, c_0110_10 + 1522992/3614557*c_1001_2^7 + 2250464/3614557*c_1001_2^6 + 4903286/18072785*c_1001_2^5 + 1931492/3614557*c_1001_2^4 + 80108457/18072785*c_1001_2^3 + 118274092/18072785*c_1001_2^2 + 86817418/18072785*c_1001_2 + 8919712/3614557, c_1001_0 - 1900216/3614557*c_1001_2^7 - 2489847/3614557*c_1001_2^6 - 7229428/18072785*c_1001_2^5 - 2856271/3614557*c_1001_2^4 - 97440276/18072785*c_1001_2^3 - 129841526/18072785*c_1001_2^2 - 108341584/18072785*c_1001_2 - 13824644/3614557, c_1001_10 - 4000166/3614557*c_1001_2^7 - 4765612/3614557*c_1001_2^6 - 12174878/18072785*c_1001_2^5 - 5024360/3614557*c_1001_2^4 - 204255146/18072785*c_1001_2^3 - 263107041/18072785*c_1001_2^2 - 195001874/18072785*c_1001_2 - 20202757/3614557, c_1001_2^8 + 2*c_1001_2^7 + 8/5*c_1001_2^6 + 2*c_1001_2^5 + 56/5*c_1001_2^4 + 106/5*c_1001_2^3 + 104/5*c_1001_2^2 + 14*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB