Magma V2.19-8 Wed Aug 21 2013 00:57:25 on localhost [Seed = 206182090] Type ? for help. Type -D to quit. Loading file "L13n4345__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4345 geometric_solution 12.53488911 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 0213 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539370030403 0.955469313639 0 0 5 4 0132 0213 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720106915028 1.255097242466 4 0 6 6 0213 0132 2103 0132 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 -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 0.422289472066 0.656190813601 7 7 0 5 0132 2310 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 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 0.554131826251 0.739797844400 2 8 1 9 0213 0132 0132 0132 0 0 1 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 -1 -5 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737927929811 1.004337378943 3 8 10 1 3201 1302 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327889351632 0.792362833556 2 7 2 11 2103 3120 0132 0132 0 1 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 3 -1 -2 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 0.306488388032 1.077639815819 3 6 12 3 0132 3120 0132 3201 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799979844205 1.087643251976 9 4 12 5 0213 0132 0213 2031 0 0 0 1 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 1 0 -1 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640973488081 0.433995092286 8 12 4 11 0213 0213 0132 3201 0 0 0 1 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 -2 0 2 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396141257582 0.530015640704 12 11 11 5 0213 0321 3201 0132 0 0 0 1 0 0 0 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 -3 0 3 0 2 -3 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453352507802 0.878475795539 10 9 6 10 2310 2310 0132 0321 0 1 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 -2 2 0 -1 0 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453352507802 0.878475795539 10 8 9 7 0213 0213 0213 0132 0 0 0 1 0 0 0 0 -1 0 1 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 -2 0 2 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435213575381 0.389185867169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : negation(d['c_1001_0']), 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : d['c_0110_8'], '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_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(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_1001_0']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), '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_6'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_10'], '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_0110_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_1'], '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_3, c_0011_4, c_0011_5, c_0011_6, c_0101_1, c_0101_11, c_0101_5, c_0110_8, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 5520218/94905*c_1001_12^8 - 11172773/31635*c_1001_12^7 + 25921729/94905*c_1001_12^6 + 547187/703*c_1001_12^5 - 34262753/31635*c_1001_12^4 + 10056998/94905*c_1001_12^3 + 1577081/6327*c_1001_12^2 - 4243933/94905*c_1001_12 + 817189/94905, c_0011_0 - 1, c_0011_10 + 53/95*c_1001_12^8 - 274/95*c_1001_12^7 + 24/95*c_1001_12^6 + 125/19*c_1001_12^5 - 439/95*c_1001_12^4 - 172/95*c_1001_12^3 + 23/19*c_1001_12^2 + 162/95*c_1001_12 - 101/95, c_0011_11 - 4/19*c_1001_12^8 + 11/19*c_1001_12^7 + 43/19*c_1001_12^6 - 21/19*c_1001_12^5 - 97/19*c_1001_12^4 + 18/19*c_1001_12^3 + 58/19*c_1001_12^2 + 29/19*c_1001_12 - 25/19, c_0011_3 - 173/285*c_1001_12^8 + 328/95*c_1001_12^7 - 349/285*c_1001_12^6 - 185/19*c_1001_12^5 + 538/95*c_1001_12^4 + 1282/285*c_1001_12^3 + 26/19*c_1001_12^2 - 812/285*c_1001_12 + 206/285, c_0011_4 - 1, c_0011_5 + 4/19*c_1001_12^8 - 11/19*c_1001_12^7 - 43/19*c_1001_12^6 + 21/19*c_1001_12^5 + 97/19*c_1001_12^4 - 18/19*c_1001_12^3 - 58/19*c_1001_12^2 - 10/19*c_1001_12 + 25/19, c_0011_6 - 25/19*c_1001_12^8 + 121/19*c_1001_12^7 + 36/19*c_1001_12^6 - 307/19*c_1001_12^5 + 54/19*c_1001_12^4 + 103/19*c_1001_12^3 + 87/19*c_1001_12^2 - 61/19*c_1001_12 + 10/19, c_0101_1 + 47/285*c_1001_12^8 - 127/95*c_1001_12^7 + 706/285*c_1001_12^6 + 44/19*c_1001_12^5 - 692/95*c_1001_12^4 + 482/285*c_1001_12^3 + 35/19*c_1001_12^2 + 443/285*c_1001_12 - 509/285, c_0101_11 + 229/285*c_1001_12^8 - 354/95*c_1001_12^7 - 538/285*c_1001_12^6 + 178/19*c_1001_12^5 + 16/95*c_1001_12^4 - 926/285*c_1001_12^3 - 51/19*c_1001_12^2 + 406/285*c_1001_12 - 103/285, c_0101_5 - 92/95*c_1001_12^8 + 481/95*c_1001_12^7 - 56/95*c_1001_12^6 - 222/19*c_1001_12^5 + 676/95*c_1001_12^4 + 148/95*c_1001_12^3 + 16/19*c_1001_12^2 - 283/95*c_1001_12 + 109/95, c_0110_8 + 217/285*c_1001_12^8 - 362/95*c_1001_12^7 - 124/285*c_1001_12^6 + 170/19*c_1001_12^5 - 157/95*c_1001_12^4 - 758/285*c_1001_12^3 - 47/19*c_1001_12^2 + 208/285*c_1001_12 - 64/285, c_1001_0 - 146/285*c_1001_12^8 + 251/95*c_1001_12^7 + 2/285*c_1001_12^6 - 129/19*c_1001_12^5 + 286/95*c_1001_12^4 + 619/285*c_1001_12^3 + 36/19*c_1001_12^2 - 509/285*c_1001_12 + 47/285, c_1001_12^9 - 5*c_1001_12^8 - c_1001_12^7 + 14*c_1001_12^6 - 3*c_1001_12^5 - 8*c_1001_12^4 - 2*c_1001_12^3 + 4*c_1001_12^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.420 seconds, Total memory usage: 32.09MB