Magma V2.19-8 Tue Aug 20 2013 23:58:55 on localhost [Seed = 2463431179] Type ? for help. Type -D to quit. Loading file "K13n1206__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1206 geometric_solution 11.96715974 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717536396233 0.532029090672 0 2 5 5 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824451886513 0.639132354536 6 0 1 4 0132 0132 0213 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548234495804 0.657205893993 7 8 9 0 0132 0132 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 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230308513529 0.492889200930 2 8 0 10 3120 1230 0132 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 -1 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.442103552840 1.226940883445 7 1 1 11 2103 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.149515835081 1.087931279177 2 12 10 12 0132 0132 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545609500608 0.757527109685 3 11 5 9 0132 0321 2103 0321 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 -12 -1 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.281388373707 1.083689678586 10 3 4 11 0321 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610426457461 0.576923641137 12 7 10 3 2031 0321 0132 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 1 0 -1 0 1 -13 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483631857385 1.268917382095 8 6 4 9 0321 3201 0132 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 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210996570700 1.142588752591 12 8 5 7 3012 0321 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.027936369347 1.191144300244 6 6 9 11 3012 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0.582314481444 0.970792757872 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : 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_10'], 'c_1100_8' : negation(d['c_1001_1']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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_0011_3'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_3'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), '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' : d['c_0011_3'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_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_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 3/20*c_1001_3 + 9/20, c_0011_0 - 1, c_0011_10 - c_1001_3, c_0011_3 - 1, c_0011_4 - 1/3*c_1001_3 + 1, c_0011_5 - 2/3*c_1001_3 - 1, c_0011_9 - 1, c_0101_0 - 1/3, c_0101_1 - 1/3*c_1001_3 - 1, c_0101_10 - 1, c_0101_11 - c_1001_3 - 1, c_1001_1 + 2, c_1001_3^2 - 6, c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 144577/7153*c_1100_0^10 + 858758/21459*c_1100_0^9 + 1940011/21459*c_1100_0^8 + 271849/21459*c_1100_0^7 + 3555160/21459*c_1100_0^6 - 2225551/21459*c_1100_0^5 + 316863/7153*c_1100_0^4 + 514573/21459*c_1100_0^3 - 658475/7153*c_1100_0^2 + 159975/7153*c_1100_0 - 660368/21459, c_0011_0 - 1, c_0011_10 + 3754/2799*c_1100_0^10 + 12947/2799*c_1100_0^9 + 32389/2799*c_1100_0^8 + 13298/933*c_1100_0^7 + 21515/933*c_1100_0^6 + 52162/2799*c_1100_0^5 + 37985/2799*c_1100_0^4 + 4626/311*c_1100_0^3 + 15781/2799*c_1100_0^2 + 18770/2799*c_1100_0 + 917/2799, c_0011_3 + 2372/2799*c_1100_0^10 + 9484/2799*c_1100_0^9 + 25604/2799*c_1100_0^8 + 12892/933*c_1100_0^7 + 19948/933*c_1100_0^6 + 60533/2799*c_1100_0^5 + 47950/2799*c_1100_0^4 + 4390/311*c_1100_0^3 + 18686/2799*c_1100_0^2 + 11860/2799*c_1100_0 + 1498/2799, c_0011_4 + 2311/5598*c_1100_0^10 + 10439/5598*c_1100_0^9 + 14231/2799*c_1100_0^8 + 14867/1866*c_1100_0^7 + 10066/933*c_1100_0^6 + 29792/2799*c_1100_0^5 + 35207/5598*c_1100_0^4 + 2307/622*c_1100_0^3 + 4280/2799*c_1100_0^2 + 1579/2799*c_1100_0 - 1087/5598, c_0011_5 - 2311/5598*c_1100_0^10 - 10439/5598*c_1100_0^9 - 14231/2799*c_1100_0^8 - 14867/1866*c_1100_0^7 - 10066/933*c_1100_0^6 - 29792/2799*c_1100_0^5 - 35207/5598*c_1100_0^4 - 2307/622*c_1100_0^3 - 4280/2799*c_1100_0^2 - 4378/2799*c_1100_0 - 4511/5598, c_0011_9 - 1141/2799*c_1100_0^10 - 4850/2799*c_1100_0^9 - 13855/2799*c_1100_0^8 - 7490/933*c_1100_0^7 - 11471/933*c_1100_0^6 - 34132/2799*c_1100_0^5 - 28340/2799*c_1100_0^4 - 2091/311*c_1100_0^3 - 7471/2799*c_1100_0^2 - 5705/2799*c_1100_0 + 745/2799, c_0101_0 - 3649/5598*c_1100_0^10 - 7066/2799*c_1100_0^9 - 18356/2799*c_1100_0^8 - 16667/1866*c_1100_0^7 - 23453/1866*c_1100_0^6 - 55117/5598*c_1100_0^5 - 12889/2799*c_1100_0^4 - 1999/622*c_1100_0^3 + 1649/5598*c_1100_0^2 - 7049/5598*c_1100_0 - 115/2799, c_0101_1 + 2311/5598*c_1100_0^10 + 10439/5598*c_1100_0^9 + 14231/2799*c_1100_0^8 + 14867/1866*c_1100_0^7 + 10066/933*c_1100_0^6 + 29792/2799*c_1100_0^5 + 35207/5598*c_1100_0^4 + 2307/622*c_1100_0^3 + 4280/2799*c_1100_0^2 + 1579/2799*c_1100_0 + 4511/5598, c_0101_10 + 31/2799*c_1100_0^10 - 1816/2799*c_1100_0^9 - 6821/2799*c_1100_0^8 - 5944/933*c_1100_0^7 - 7894/933*c_1100_0^6 - 36593/2799*c_1100_0^5 - 31930/2799*c_1100_0^4 - 2444/311*c_1100_0^3 - 22844/2799*c_1100_0^2 - 8242/2799*c_1100_0 - 6808/2799, c_0101_11 + 1940/2799*c_1100_0^10 + 7162/2799*c_1100_0^9 + 18359/2799*c_1100_0^8 + 8173/933*c_1100_0^7 + 12487/933*c_1100_0^6 + 32705/2799*c_1100_0^5 + 22678/2799*c_1100_0^4 + 2583/311*c_1100_0^3 + 11351/2799*c_1100_0^2 + 12499/2799*c_1100_0 + 2830/2799, c_1001_1 + 589/2799*c_1100_0^10 + 1883/2799*c_1100_0^9 + 4753/2799*c_1100_0^8 + 1823/933*c_1100_0^7 + 3026/933*c_1100_0^6 + 4483/2799*c_1100_0^5 + 713/2799*c_1100_0^4 - 97/311*c_1100_0^3 - 8588/2799*c_1100_0^2 - 2653/2799*c_1100_0 - 3397/2799, c_1001_3 - 1471/2799*c_1100_0^10 - 5924/2799*c_1100_0^9 - 15463/2799*c_1100_0^8 - 7298/933*c_1100_0^7 - 10445/933*c_1100_0^6 - 30043/2799*c_1100_0^5 - 21521/2799*c_1100_0^4 - 2128/311*c_1100_0^3 - 11869/2799*c_1100_0^2 - 10154/2799*c_1100_0 - 1814/2799, c_1100_0^11 + 4*c_1100_0^10 + 11*c_1100_0^9 + 17*c_1100_0^8 + 27*c_1100_0^7 + 28*c_1100_0^6 + 25*c_1100_0^5 + 22*c_1100_0^4 + 13*c_1100_0^3 + 10*c_1100_0^2 + 3*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.450 Total time: 5.660 seconds, Total memory usage: 64.12MB