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Loading file "L13n3346__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3346 geometric_solution 10.99510257 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -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 0.448851089262 0.843930787168 0 4 6 5 0132 0321 0132 0132 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 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 0.627186786140 0.230913669872 6 0 4 5 0132 0132 2103 2103 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 0 0 0 0 0 0 0 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 1.084955571197 1.661306756495 5 7 6 0 0132 0132 0213 0132 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 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 0.278971409135 0.627196500408 2 8 0 1 2103 0132 0132 0321 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 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 0.938597229476 1.200731583592 3 7 1 2 0132 3201 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.191096294350 0.885881166546 2 3 9 1 0132 0213 0132 0132 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 -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 0.595906184565 0.516950393299 10 3 5 11 0132 0132 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 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 0.231626008060 0.752165726688 11 4 9 11 1023 0132 3012 3120 0 0 1 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250008017493 0.890525063889 10 8 10 6 3012 1230 1023 0132 0 1 0 0 0 0 -1 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 0 0 0 0 0 -1 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 0.553286117738 0.656960563366 7 11 9 9 0132 2310 1023 1230 1 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 -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 0.707777147232 1.040893717090 8 8 7 10 3120 1023 0132 3201 0 0 1 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 1 -1 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707777147232 1.040893717090 ==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_0101_8'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_0_11' : 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' : 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_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' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0011_11']), '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'], '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_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_9']), 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], '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_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 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_6, c_0101_8, c_0101_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 49573009873/36572798592*c_1001_1^9 - 552632193559/73145597184*c_1001_1^8 - 1978509504395/73145597184*c_1001_1^7 - 5430894904645/97527462912*c_1001_1^6 - 805838842709/9143199648*c_1001_1^5 - 1249845791923/12190932864*c_1001_1^4 - 3289765005239/36572798592*c_1001_1^3 - 113457314735/2031822144*c_1001_1^2 - 439346563/18813168*c_1001_1 - 14156342315/4571599824, c_0011_0 - 1, c_0011_10 + 1/8*c_1001_1^9 + 15/16*c_1001_1^8 + 63/16*c_1001_1^7 + 671/64*c_1001_1^6 + 319/16*c_1001_1^5 + 463/16*c_1001_1^4 + 65/2*c_1001_1^3 + 28*c_1001_1^2 + 35/2*c_1001_1 + 7, c_0011_11 + 11/428*c_1001_1^9 + 1103/2568*c_1001_1^8 + 1793/856*c_1001_1^7 + 67127/10272*c_1001_1^6 + 32021/2568*c_1001_1^5 + 30635/1712*c_1001_1^4 + 16679/856*c_1001_1^3 + 4838/321*c_1001_1^2 + 2525/321*c_1001_1 + 722/321, c_0011_9 + 337/1284*c_1001_1^9 + 4403/2568*c_1001_1^8 + 16625/2568*c_1001_1^7 + 153103/10272*c_1001_1^6 + 125389/5136*c_1001_1^5 + 52553/1712*c_1001_1^4 + 73957/2568*c_1001_1^3 + 6175/321*c_1001_1^2 + 2719/321*c_1001_1 + 590/321, c_0101_0 + 82/321*c_1001_1^9 + 1045/642*c_1001_1^8 + 7579/1284*c_1001_1^7 + 5503/428*c_1001_1^6 + 99149/5136*c_1001_1^5 + 38099/1712*c_1001_1^4 + 22889/1284*c_1001_1^3 + 3825/428*c_1001_1^2 + 265/107*c_1001_1 + 4/321, c_0101_1 - 1, c_0101_10 + 5/8*c_1001_1^9 + 71/16*c_1001_1^8 + 285/16*c_1001_1^7 + 2851/64*c_1001_1^6 + 2519/32*c_1001_1^5 + 1677/16*c_1001_1^4 + 837/8*c_1001_1^3 + 76*c_1001_1^2 + 75/2*c_1001_1 + 10, c_0101_6 + 11/428*c_1001_1^9 + 1103/2568*c_1001_1^8 + 1793/856*c_1001_1^7 + 67127/10272*c_1001_1^6 + 32021/2568*c_1001_1^5 + 30635/1712*c_1001_1^4 + 16679/856*c_1001_1^3 + 4838/321*c_1001_1^2 + 2525/321*c_1001_1 + 722/321, c_0101_8 + 337/1284*c_1001_1^9 + 4403/2568*c_1001_1^8 + 16625/2568*c_1001_1^7 + 153103/10272*c_1001_1^6 + 125389/5136*c_1001_1^5 + 52553/1712*c_1001_1^4 + 73957/2568*c_1001_1^3 + 6175/321*c_1001_1^2 + 2719/321*c_1001_1 + 590/321, c_0101_9 - 1243/2568*c_1001_1^9 - 14297/5136*c_1001_1^8 - 50027/5136*c_1001_1^7 - 401005/20544*c_1001_1^6 - 288049/10272*c_1001_1^5 - 25429/856*c_1001_1^4 - 14141/642*c_1001_1^3 - 6787/642*c_1001_1^2 - 1519/642*c_1001_1 + 134/321, c_1001_0 + 1/2*c_1001_1 - 1, c_1001_1^10 + 15/2*c_1001_1^9 + 63/2*c_1001_1^8 + 671/8*c_1001_1^7 + 319/2*c_1001_1^6 + 463/2*c_1001_1^5 + 260*c_1001_1^4 + 224*c_1001_1^3 + 144*c_1001_1^2 + 64*c_1001_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB