Magma V2.19-8 Wed Aug 21 2013 01:00:52 on localhost [Seed = 21437166] Type ? for help. Type -D to quit. Loading file "L13n9864__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9864 geometric_solution 12.21130731 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 0 0 0 0 0 1 0 0 -1 -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 -1 1 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 0.774728350881 0.910377966036 0 5 7 6 0132 0132 0132 0132 2 1 0 2 0 0 0 0 -1 0 1 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 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 0.511943029472 0.532784263043 7 0 9 8 0132 0132 0132 0132 2 1 0 2 0 0 1 -1 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 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 0.556680274029 0.717736605388 10 7 5 0 0132 0132 0132 0132 2 1 0 2 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 1 -1 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 0.511943029472 0.532784263043 9 11 0 7 0132 0132 0132 0132 2 1 0 2 0 0 0 0 0 0 1 -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 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 0.556680274029 0.717736605388 12 1 6 3 0132 0132 0132 0132 2 1 2 0 0 0 0 0 0 0 0 0 -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 1 -1 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 1.368753845949 0.950616927050 10 11 1 5 2103 2031 0132 0132 2 1 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 1 0 -1 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 0.124778242522 0.837562364217 2 3 4 1 0132 0132 0132 0132 2 1 2 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 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 0.774728350881 0.910377966036 12 11 2 10 3120 0213 0132 2103 2 1 0 0 0 0 1 -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 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 0.434996354013 1.002285070558 4 11 12 2 0132 0321 3120 0132 2 1 2 0 0 0 1 -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 0 0 0 1 0 -1 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 0.593254982660 0.515344040014 3 12 6 8 0132 0132 2103 2103 0 1 2 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 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 0.677375208998 0.777401314044 6 4 8 9 1302 0132 0213 0321 2 0 2 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 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077780076032 1.398824141257 5 10 9 8 0132 0132 3120 3120 0 1 0 2 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 -1 1 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 0.691921280925 0.442386800152 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_5'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_12'], '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' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : 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' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_12']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_12']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), '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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], '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_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_0']})} 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_5, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 36/95*c_1100_0^8 + 953/95*c_1100_0^7 - 140/19*c_1100_0^6 + 444/19*c_1100_0^5 - 9*c_1100_0^4 + 2673/95*c_1100_0^3 + 542/95*c_1100_0^2 + 1479/95*c_1100_0 + 244/95, c_0011_0 - 1, c_0011_11 + 448/209*c_1100_0^8 - 444/209*c_1100_0^7 + 1589/209*c_1100_0^6 - 772/209*c_1100_0^5 + 131/11*c_1100_0^4 - 575/209*c_1100_0^3 + 2168/209*c_1100_0^2 - 145/209*c_1100_0 + 1033/209, c_0011_6 - 392/209*c_1100_0^8 - 1806/209*c_1100_0^7 - 1103/209*c_1100_0^6 - 3609/209*c_1100_0^5 - 171/11*c_1100_0^4 - 5584/209*c_1100_0^3 - 4405/209*c_1100_0^2 - 3191/209*c_1100_0 - 1139/209, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 556/209*c_1100_0^8 + 245/209*c_1100_0^7 - 1332/209*c_1100_0^6 + 249/209*c_1100_0^5 - 101/11*c_1100_0^4 - 72/209*c_1100_0^3 - 1153/209*c_1100_0^2 + 249/209*c_1100_0 - 112/209, c_0101_5 - 476/209*c_1100_0^8 - 939/209*c_1100_0^7 - 1205/209*c_1100_0^6 - 1740/209*c_1100_0^5 - 133/11*c_1100_0^4 - 3138/209*c_1100_0^3 - 2408/209*c_1100_0^2 - 1322/209*c_1100_0 - 353/209, c_0101_7 - 464/209*c_1100_0^8 + 848/209*c_1100_0^7 - 1071/209*c_1100_0^6 + 1128/209*c_1100_0^5 - 52/11*c_1100_0^4 + 1439/209*c_1100_0^3 - 36/209*c_1100_0^2 + 710/209*c_1100_0 - 107/209, c_1001_0 + 4*c_1100_0^8 + c_1100_0^7 + 12*c_1100_0^6 + 5*c_1100_0^5 + 20*c_1100_0^4 + 12*c_1100_0^3 + 20*c_1100_0^2 + 9*c_1100_0 + 7, c_1001_1 + 448/209*c_1100_0^8 - 444/209*c_1100_0^7 + 1589/209*c_1100_0^6 - 772/209*c_1100_0^5 + 131/11*c_1100_0^4 - 575/209*c_1100_0^3 + 2168/209*c_1100_0^2 - 354/209*c_1100_0 + 1033/209, c_1001_12 - 56/209*c_1100_0^8 - 258/209*c_1100_0^7 - 277/209*c_1100_0^6 - 426/209*c_1100_0^5 - 48/11*c_1100_0^4 - 738/209*c_1100_0^3 - 1107/209*c_1100_0^2 - 635/209*c_1100_0 - 521/209, c_1001_2 - 4*c_1100_0^8 - c_1100_0^7 - 12*c_1100_0^6 - 5*c_1100_0^5 - 20*c_1100_0^4 - 12*c_1100_0^3 - 20*c_1100_0^2 - 8*c_1100_0 - 7, c_1100_0^9 + 1/4*c_1100_0^8 + 3*c_1100_0^7 + 5/4*c_1100_0^6 + 5*c_1100_0^5 + 3*c_1100_0^4 + 5*c_1100_0^3 + 9/4*c_1100_0^2 + 7/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB