Magma V2.19-8 Wed Aug 21 2013 01:10:58 on localhost [Seed = 1157848211] Type ? for help. Type -D to quit. Loading file "L14n55117__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55117 geometric_solution 12.02201467 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 3 0132 0132 0132 1230 1 1 0 1 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 3 -2 -1 0 0 1 -1 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730467355934 1.147654515859 0 4 4 5 0132 0132 0321 0132 2 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 -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 0.730467355934 1.147654515859 6 0 8 7 0132 0132 0132 0132 1 0 1 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 -3 0 3 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191783578147 0.450176044601 0 9 5 0 3012 0132 1302 0132 1 1 1 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 -2 0 2 1 0 0 -1 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193942040064 0.825794066115 9 1 1 8 0213 0132 0321 3120 2 0 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 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 0.730467355934 1.147654515859 3 8 1 8 2031 3120 0132 3012 2 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 -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 0.193942040064 0.825794066115 2 9 10 11 0132 0213 0132 0132 1 0 0 1 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 2 0 -2 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 0.984882638520 1.334815597044 10 11 2 9 0132 0132 0132 0213 1 0 0 1 0 -1 1 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 0 3 -3 0 2 0 0 -2 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.984882638520 1.334815597044 4 5 5 2 3120 3120 1230 0132 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.730467355934 1.147654515859 4 3 6 7 0213 0132 0213 0213 1 0 0 1 0 -1 1 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 2 -2 0 0 0 3 -3 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199030867304 1.880125084168 7 12 12 6 0132 0132 3201 0132 1 0 1 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 -2 0 2 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526219270744 0.439037930298 12 7 6 12 3201 0132 0132 0132 1 0 1 0 0 1 -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 0 -3 2 1 -2 0 0 2 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526219270744 0.439037930298 10 10 11 11 2310 0132 0132 2310 1 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 -1 1 3 0 -2 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879576454990 0.934797453470 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_1001_4']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_1001_0'], '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' : negation(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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : 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_1100_9' : d['c_1001_11'], 'c_1100_8' : d['c_0110_5'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0011_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_10'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_8'], '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_0101_10']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_12, c_0101_6, c_0110_5, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1122869/529*c_1001_4^12 - 11349943/1058*c_1001_4^11 + 10320866/529*c_1001_4^10 - 8326505/1058*c_1001_4^9 - 58080803/1058*c_1001_4^8 + 102294931/529*c_1001_4^7 - 353160665/1058*c_1001_4^6 + 383084495/1058*c_1001_4^5 - 155304774/529*c_1001_4^4 + 193088233/1058*c_1001_4^3 - 60811380/529*c_1001_4^2 + 64207807/529*c_1001_4 - 1552796/23, c_0011_0 - 1, c_0011_10 + 9295/46*c_1001_4^12 - 97283/92*c_1001_4^11 + 183271/92*c_1001_4^10 - 41497/46*c_1001_4^9 - 487263/92*c_1001_4^8 + 1771127/92*c_1001_4^7 - 1561739/46*c_1001_4^6 + 856956/23*c_1001_4^5 - 1398083/46*c_1001_4^4 + 439568/23*c_1001_4^3 - 1079219/92*c_1001_4^2 + 1146581/92*c_1001_4 - 670355/92, c_0011_3 + 1/46*c_1001_4^12 - 13/92*c_1001_4^11 + 33/92*c_1001_4^10 - 17/46*c_1001_4^9 - 41/92*c_1001_4^8 + 257/92*c_1001_4^7 - 289/46*c_1001_4^6 + 199/23*c_1001_4^5 - 385/46*c_1001_4^4 + 143/23*c_1001_4^3 - 357/92*c_1001_4^2 + 271/92*c_1001_4 - 137/92, c_0011_5 + 1/46*c_1001_4^12 - 13/92*c_1001_4^11 + 33/92*c_1001_4^10 - 17/46*c_1001_4^9 - 41/92*c_1001_4^8 + 257/92*c_1001_4^7 - 289/46*c_1001_4^6 + 199/23*c_1001_4^5 - 385/46*c_1001_4^4 + 143/23*c_1001_4^3 - 357/92*c_1001_4^2 + 271/92*c_1001_4 - 137/92, c_0011_8 + 1, c_0101_0 - 1, c_0101_10 - 229/4232*c_1001_4^12 + 2793/8464*c_1001_4^11 - 6361/8464*c_1001_4^10 + 2375/4232*c_1001_4^9 + 12517/8464*c_1001_4^8 - 55081/8464*c_1001_4^7 + 54359/4232*c_1001_4^6 - 32277/2116*c_1001_4^5 + 51549/4232*c_1001_4^4 - 15037/2116*c_1001_4^3 + 29129/8464*c_1001_4^2 - 29215/8464*c_1001_4 + 27509/8464, c_0101_12 + 17209/23*c_1001_4^12 - 176705/46*c_1001_4^11 + 326259/46*c_1001_4^10 - 69223/23*c_1001_4^9 - 895825/46*c_1001_4^8 + 3198561/46*c_1001_4^7 - 2785733/23*c_1001_4^6 + 3035897/23*c_1001_4^5 - 2468169/23*c_1001_4^4 + 1541234/23*c_1001_4^3 - 1920169/46*c_1001_4^2 + 2035015/46*c_1001_4 - 1154411/46, c_0101_6 + 737/46*c_1001_4^12 - 7925/92*c_1001_4^11 + 15397/92*c_1001_4^10 - 3835/46*c_1001_4^9 - 38957/92*c_1001_4^8 + 145617/92*c_1001_4^7 - 130929/46*c_1001_4^6 + 72741/23*c_1001_4^5 - 119249/46*c_1001_4^4 + 37955/23*c_1001_4^3 - 91253/92*c_1001_4^2 + 96595/92*c_1001_4 - 59661/92, c_0110_5 - 1, c_1001_0 - 2*c_1001_4^12 + 11*c_1001_4^11 - 22*c_1001_4^10 + 12*c_1001_4^9 + 53*c_1001_4^8 - 204*c_1001_4^7 + 374*c_1001_4^6 - 422*c_1001_4^5 + 348*c_1001_4^4 - 224*c_1001_4^3 + 133*c_1001_4^2 - 138*c_1001_4 + 91, c_1001_11 - 737/46*c_1001_4^12 + 7925/92*c_1001_4^11 - 15397/92*c_1001_4^10 + 3835/46*c_1001_4^9 + 38957/92*c_1001_4^8 - 145617/92*c_1001_4^7 + 130929/46*c_1001_4^6 - 72741/23*c_1001_4^5 + 119249/46*c_1001_4^4 - 37955/23*c_1001_4^3 + 91253/92*c_1001_4^2 - 96595/92*c_1001_4 + 59661/92, c_1001_4^13 - 13/2*c_1001_4^12 + 33/2*c_1001_4^11 - 17*c_1001_4^10 - 41/2*c_1001_4^9 + 257/2*c_1001_4^8 - 289*c_1001_4^7 + 398*c_1001_4^6 - 385*c_1001_4^5 + 286*c_1001_4^4 - 357/2*c_1001_4^3 + 271/2*c_1001_4^2 - 229/2*c_1001_4 + 46 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB