#index_first index_last length frequency knotoid_type polynomial 0 275 276 0.75 k0.1 + 1 0 274 275 0.7 k0.1 + 1 0 273 274 0.6 k0.1 + 1 0 272 273 0.7 k0.1 + 1 0 271 272 0.45 k0.1 + 1 0 270 271 0.55 k0.1 + 1 0 269 270 0.6 k0.1 + 1 0 268 269 0.55 k0.1 + 1 0 267 268 0.35 k0.1 + 1 0 266 267 0.75 k0.1 + 1 0 265 266 0.75 k0.1 + 1 0 264 265 0.55 k0.1 + 1 0 263 264 0.65 k0.1 + 1 0 262 263 0.5 k0.1 + 1 0 261 262 0.5 k0.1 + 1 0 260 261 0.45 k0.1 + 1 0 259 260 0.5 k2.1m + A^(4) + A^(6) - A^(10) 1 260 260 0.4 k2.1m + A^(4) + A^(6) - A^(10) 0 261 262 0.5 k0.1 + 1 1 261 261 0.5 k0.1 + 1 1 260 260 0.4 k2.1m + A^(4) + A^(6) - A^(10) 2 261 260 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 262 262 0.5 k0.1 + 1 2 262 261 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 263 263 0.7 k0.1 + 1 2 263 262 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 264 264 0.4 k2.1m + A^(4) + A^(6) - A^(10) 0 263 264 0.65 k0.1 + 1 0 264 265 0.55 k0.1 + 1 1 264 264 0.4 k2.1m + A^(4) + A^(6) - A^(10) 0 265 266 0.75 k0.1 + 1 1 265 265 0.5 k0.1 + 1 1 264 264 0.4 k2.1m + A^(4) + A^(6) - A^(10) 2 265 264 0.6 k0.1 + 1 2 264 263 0.4 k2.1m + A^(4) + A^(6) - A^(10) 3 265 263 0.5 k0.1 + 1 3 264 262 0.55 k0.1 + 1 2 264 263 0.4 k2.1m + A^(4) + A^(6) - A^(10) 3 263 261 0.4 k0.1 + 1 2 263 262 0.45 k2.1m + A^(4) + A^(6) - A^(10) 3 262 260 0.6 k0.1 + 1 2 262 261 0.45 k2.1m + A^(4) + A^(6) - A^(10) 3 261 259 0.55 k0.1 + 1 2 261 260 0.45 k2.1m + A^(4) + A^(6) - A^(10) 3 260 258 0.4 k0.1 + 1 2 260 259 0.35 k0.1 + 1 2 261 260 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 260 260 0.4 k2.1m + A^(4) + A^(6) - A^(10) 2 259 258 0.5 k0.1 + 1 1 259 259 0.5 k0.1 + 1 1 260 260 0.4 k2.1m + A^(4) + A^(6) - A^(10) 0 259 260 0.5 k2.1m + A^(4) + A^(6) - A^(10) 1 258 258 0.35 k2.1m + A^(4) + A^(6) - A^(10) 2 259 258 0.5 k0.1 + 1 2 258 257 0.45 k0.1 + 1 1 258 258 0.35 k2.1m + A^(4) + A^(6) - A^(10) 2 257 256 0.55 k0.1 + 1 1 257 257 0.55 k0.1 + 1 1 258 258 0.35 k2.1m + A^(4) + A^(6) - A^(10) 0 257 258 0.45 k0.1 + 1 0 258 259 0.55 k0.1 + 1 1 258 258 0.35 k2.1m + A^(4) + A^(6) - A^(10) 0 259 260 0.5 k2.1m + A^(4) + A^(6) - A^(10) 0 257 258 0.45 k0.1 + 1 0 256 257 0.65 k0.1 + 1 0 255 256 0.7 k0.1 + 1 0 254 255 0.75 k0.1 + 1 0 253 254 0.75 k0.1 + 1 0 252 253 0.85 k0.1 + 1 0 251 252 0.8 k0.1 + 1 0 250 251 0.9 k0.1 + 1 0 249 250 0.55 k0.1 + 1 0 248 249 0.85 k0.1 + 1 0 247 248 0.8 k0.1 + 1 0 246 247 0.7 k0.1 + 1 0 245 246 0.8 k0.1 + 1 0 244 245 0.75 k0.1 + 1 0 243 244 0.7 k0.1 + 1 0 242 243 0.4 k2.1m + A^(4) + A^(6) - A^(10) 1 243 243 0.4 k0.1 + 1 1 242 242 0.5 k0.1 + 1 0 242 243 0.4 k2.1m + A^(4) + A^(6) - A^(10) 1 241 241 0.5 k0.1 + 1 0 241 242 0.7 k0.1 + 1 0 242 243 0.4 k2.1m + A^(4) + A^(6) - A^(10) 0 240 241 0.5 k0.1 + 1 0 239 240 0.5 k2.1m + A^(4) + A^(6) - A^(10) 1 240 240 0.55 k0.1 + 1 1 239 239 0.4 k2.1m + A^(4) + A^(6) - A^(10) 2 240 239 0.5 k0.1 + 1 2 239 238 0.35 k3.9m + A^(4) - A^(8) - A^(10)*v + A^(12) + A^(14)*v 3 240 238 0.65 k0.1 + 1 3 239 237 0.25 k3.9m + A^(4) - A^(8) - A^(10)*v + A^(12) + A^(14)*v 4 240 237 0.5 k0.1 + 1 4 239 236 0.5 k0.1 + 1 3 239 237 0.25 k3.9m + A^(4) - A^(8) - A^(10)*v + A^(12) + A^(14)*v 4 238 235 0.45 k2.1m + A^(4) + A^(6) - A^(10) 5 239 235 0.3 k2.1m + A^(4) + A^(6) - A^(10) 4 240 237 0.5 k0.1 + 1 5 240 236 0.6 k0.1 + 1 5 239 235 0.3 k2.1m + A^(4) + A^(6) - A^(10) 6 240 235 0.55 k0.1 + 1 6 239 234 0.35 k2.1m + A^(4) + A^(6) - A^(10) 7 240 234 0.7 k0.1 + 1 7 239 233 0.4 k0.1 + 1 6 239 234 0.35 k2.1m + A^(4) + A^(6) - A^(10) 7 238 232 0.45 k2.1m + A^(4) + A^(6) - A^(10) 8 239 232 0.35 k2.1m + A^(4) + A^(6) - A^(10) 7 240 234 0.7 k0.1 + 1 8 240 233 0.6 k0.1 + 1 8 239 232 0.35 k2.1m + A^(4) + A^(6) - A^(10) 9 240 232 0.55 k0.1 + 1 9 239 231 0.35 k2.1m + A^(4) + A^(6) - A^(10) 10 240 231 0.6 k0.1 + 1 10 239 230 0.55 k2.1m + A^(4) + A^(6) - A^(10) 11 240 230 0.65 k0.1 + 1 11 239 229 0.35 k2.1m + A^(4) + A^(6) - A^(10) 12 240 229 0.6 k0.1 + 1 12 239 228 0.6 k2.1m + A^(4) + A^(6) - A^(10) 13 240 228 0.45 k0.1 + 1 13 239 227 0.35 k0.1 + 1 12 239 228 0.6 k2.1m + A^(4) + A^(6) - A^(10) 13 238 226 0.4 k2.1m + A^(4) + A^(6) - A^(10) 14 239 226 0.35 k2.1m + A^(4) + A^(6) - A^(10) 13 240 228 0.45 k0.1 + 1 14 240 227 0.7 k0.1 + 1 14 239 226 0.35 k2.1m + A^(4) + A^(6) - A^(10) 15 240 226 0.5 k0.1 + 1 15 239 225 0.2 k2.1m + A^(4) + A^(6) - A^(10) 16 240 225 0.35 k0.1 + 1 16 239 224 0.35 k2.1m + A^(4) + A^(6) - A^(10) 17 240 224 0.3 k0.1 + 1 17 239 223 0.35 k2.1m + A^(4) + A^(6) - A^(10) 18 240 223 0.55 k0.1 + 1 18 239 222 0.35 k0.1 + 1 17 239 223 0.35 k2.1m + A^(4) + A^(6) - A^(10) 18 238 221 0.55 k2.1m + A^(4) + A^(6) - A^(10) 19 239 221 0.5 k2.1m + A^(4) + A^(6) - A^(10) 18 240 223 0.55 k0.1 + 1 19 240 222 0.45 k2.1m + A^(4) + A^(6) - A^(10) 18 241 224 0.35 k0.1 + 1 19 241 223 0.35 k0.1 + 1 19 240 222 0.45 k2.1m + A^(4) + A^(6) - A^(10) 20 241 222 0.35 k2.1m + A^(4) + A^(6) - A^(10) 19 242 224 0.45 k0.1 + 1 20 242 223 0.4 k2.1m + A^(4) + A^(6) - A^(10) 19 243 225 0.35 k2.1m + A^(4) + A^(6) - A^(10) 18 242 225 0.5 k0.1 + 1 18 243 226 0.5 k0.1 + 1 19 243 225 0.35 k2.1m + A^(4) + A^(6) - A^(10) 18 244 227 0.5 k0.1 + 1 19 244 226 0.6 k0.1 + 1 19 243 225 0.35 k2.1m + A^(4) + A^(6) - A^(10) 20 244 225 0.5 k0.1 + 1 20 243 224 0.55 k0.1 + 1 19 243 225 0.35 k2.1m + A^(4) + A^(6) - A^(10) 20 242 223 0.4 k2.1m + A^(4) + A^(6) - A^(10) 21 243 223 0.45 k0.1 + 1 21 242 222 0.6 k0.1 + 1 20 242 223 0.4 k2.1m + A^(4) + A^(6) - A^(10) 21 241 221 0.7 k0.1 + 1 20 241 222 0.35 k2.1m + A^(4) + A^(6) - A^(10) 21 240 220 0.5 k0.1 + 1 20 240 221 0.35 k2.1m + A^(4) + A^(6) - A^(10) 21 239 219 0.4 k2.1m + A^(4) + A^(6) - A^(10) 22 240 219 0.45 k0.1 + 1 22 239 218 0.35 k0.1 + 1 21 239 219 0.4 k2.1m + A^(4) + A^(6) - A^(10) 22 238 217 0.4 k2.1m + A^(4) + A^(6) - A^(10) 23 239 217 0.55 k2.1m + A^(4) + A^(6) - A^(10) 22 240 219 0.45 k0.1 + 1 23 240 218 0.35 k0.1 + 1 23 239 217 0.55 k2.1m + A^(4) + A^(6) - A^(10) 24 240 217 0.55 k0.1 + 1 24 239 216 0.4 k2.1m + A^(4) + A^(6) - A^(10) 25 240 216 0.5 k0.1 + 1 25 239 215 0.5 k2.1m + A^(4) + A^(6) - A^(10) 26 240 215 0.5 k0.1 + 1 26 239 214 0.3 k0.1 + 1 25 239 215 0.5 k2.1m + A^(4) + A^(6) - A^(10) 26 238 213 0.4 k0.1 + 1 25 238 214 0.7 k2.1m + A^(4) + A^(6) - A^(10) 26 237 212 0.3 k0.1 + 1 25 237 213 0.65 k2.1m + A^(4) + A^(6) - A^(10) 26 236 211 0.45 k0.1 + 1 25 236 212 0.55 k3.1m + A^(4) + A^(12) - A^(16) 26 235 210 0.35 k0.1 + 1 25 235 211 0.5 k3.1m + A^(4) + A^(12) - A^(16) 26 234 209 0.45 k0.1 + 1 25 234 210 0.55 k3.1m + A^(4) + A^(12) - A^(16) 26 233 208 0.45 k0.1 + 1 25 233 209 0.45 k3.1m + A^(4) + A^(12) - A^(16) 26 232 207 0.35 k0.1 + 1 25 232 208 0.65 k3.1m + A^(4) + A^(12) - A^(16) 26 231 206 0.35 k0.1 + 1 25 231 207 0.6 k3.1m + A^(4) + A^(12) - A^(16) 26 230 205 0.4 k0.1 + 1 25 230 206 0.3 k3.1m + A^(4) + A^(12) - A^(16) 26 229 204 0.2 k0.1 + 1 25 229 205 0.5 k3.1m + A^(4) + A^(12) - A^(16) 26 228 203 0.4 k0.1 + 1 25 228 204 0.35 k2.1m + A^(4) + A^(6) - A^(10) 26 227 202 0.35 k0.1 + 1 25 227 203 0.55 k2.1m + A^(4) + A^(6) - A^(10) 26 226 201 0.45 k0.1 + 1 25 226 202 0.55 k2.1m + A^(4) + A^(6) - A^(10) 26 225 200 0.45 k0.1 + 1 25 225 201 0.5 k2.1m + A^(4) + A^(6) - A^(10) 26 224 199 0.45 k0.1 + 1 25 224 200 0.55 k0.1 + 1 25 225 201 0.5 k2.1m + A^(4) + A^(6) - A^(10) 24 224 201 0.3 k0.1 + 1 24 225 202 0.3 k2.1m + A^(4) + A^(6) - A^(10) 23 224 202 0.45 k2.1m + A^(4) + A^(6) - A^(10) 24 223 200 0.55 k0.1 + 1 23 223 201 0.45 k0.1 + 1 23 224 202 0.45 k2.1m + A^(4) + A^(6) - A^(10) 22 223 202 0.45 k0.1 + 1 22 224 203 0.5 k0.1 + 1 23 224 202 0.45 k2.1m + A^(4) + A^(6) - A^(10) 22 225 204 0.45 k2.1m + A^(4) + A^(6) - A^(10) 21 224 204 0.55 k0.1 + 1 21 225 205 0.3 k2.1m + A^(4) + A^(6) - A^(10) 20 224 205 0.5 k0.1 + 1 20 225 206 0.25 k2.1m + A^(4) + A^(6) - A^(10) 19 224 206 0.45 k0.1 + 1 19 225 207 0.45 k0.1 + 1 20 225 206 0.25 k2.1m + A^(4) + A^(6) - A^(10) 19 226 208 0.5 k2.1m + A^(4) + A^(6) - A^(10) 18 225 208 0.35 k0.1 + 1 18 226 209 0.45 k0.1 + 1 19 226 208 0.5 k2.1m + A^(4) + A^(6) - A^(10) 18 227 210 0.6 k2.1m + A^(4) + A^(6) - A^(10) 17 226 210 0.3 k2.1m + A^(4) + A^(6) - A^(10) 18 225 208 0.35 k0.1 + 1 17 225 209 0.4 k0.1 + 1 17 226 210 0.3 k2.1m + A^(4) + A^(6) - A^(10) 16 225 210 0.4 k0.1 + 1 16 226 211 0.4 k2.1m + A^(4) + A^(6) - A^(10) 15 225 211 0.4 k2.1m + A^(4) + A^(6) - A^(10) 16 224 209 0.55 k0.1 + 1 15 224 210 0.3 k0.1 + 1 15 225 211 0.4 k2.1m + A^(4) + A^(6) - A^(10) 14 224 211 0.35 k0.1 + 1 14 225 212 0.4 k0.1 + 1 15 225 211 0.4 k2.1m + A^(4) + A^(6) - A^(10) 14 226 213 0.45 k0.1 + 1 15 226 212 0.3 k2.1m + A^(4) + A^(6) - A^(10) 14 227 214 0.7 k2.1m + A^(4) + A^(6) - A^(10) 13 226 214 0.5 k2.1m + A^(4) + A^(6) - A^(10) 14 225 212 0.4 k0.1 + 1 13 225 213 0.4 k0.1 + 1 13 226 214 0.5 k2.1m + A^(4) + A^(6) - A^(10) 12 225 214 0.35 k2.1m + A^(4) + A^(6) - A^(10) 13 224 212 0.5 k0.1 + 1 12 224 213 0.45 k0.1 + 1 12 225 214 0.35 k2.1m + A^(4) + A^(6) - A^(10) 11 224 214 0.55 k0.1 + 1 11 225 215 0.45 k2.1m + A^(4) + A^(6) - A^(10) 10 224 215 0.3 k2.1m + A^(4) + A^(6) - A^(10) 11 223 213 0.35 k0.1 + 1 10 223 214 0.45 k0.1 + 1 10 224 215 0.3 k2.1m + A^(4) + A^(6) - A^(10) 9 223 215 0.45 k0.1 + 1 9 224 216 0.5 k0.1 + 1 10 224 215 0.3 k2.1m + A^(4) + A^(6) - A^(10) 9 225 217 0.45 k0.1 + 1 10 225 216 0.5 k0.1 + 1 10 224 215 0.3 k2.1m + A^(4) + A^(6) - A^(10) 11 225 215 0.45 k2.1m + A^(4) + A^(6) - A^(10) 10 226 217 0.55 k0.1 + 1 11 226 216 0.45 k0.1 + 1 11 225 215 0.45 k2.1m + A^(4) + A^(6) - A^(10) 12 226 215 0.5 k0.1 + 1 12 225 214 0.35 k2.1m + A^(4) + A^(6) - A^(10) 13 226 214 0.5 k2.1m + A^(4) + A^(6) - A^(10) 12 227 216 0.45 k2.1m + A^(4) + A^(6) - A^(10) 11 226 216 0.45 k0.1 + 1 11 227 217 0.55 k2.1m + A^(4) + A^(6) - A^(10) 10 226 217 0.55 k0.1 + 1 10 227 218 0.7 k2.1m + A^(4) + A^(6) - A^(10) 9 226 218 0.45 k2.1m + A^(4) + A^(6) - A^(10) 10 225 216 0.5 k0.1 + 1 9 225 217 0.45 k0.1 + 1 9 226 218 0.45 k2.1m + A^(4) + A^(6) - A^(10) 8 225 218 0.35 k0.1 + 1 8 226 219 0.4 k2.1m + A^(4) + A^(6) - A^(10) 7 225 219 0.5 k2.1m + A^(4) + A^(6) - A^(10) 8 224 217 0.55 k0.1 + 1 7 224 218 0.3 k0.1 + 1 7 225 219 0.5 k2.1m + A^(4) + A^(6) - A^(10) 6 224 219 0.45 k2.1m + A^(4) + A^(6) - A^(10) 7 223 217 0.55 k0.1 + 1 6 223 218 0.5 k0.1 + 1 6 224 219 0.45 k2.1m + A^(4) + A^(6) - A^(10) 5 223 219 0.55 k0.1 + 1 5 224 220 0.4 k0.1 + 1 6 224 219 0.45 k2.1m + A^(4) + A^(6) - A^(10) 5 225 221 0.4 k2.1m + A^(4) + A^(6) - A^(10) 4 224 221 0.45 k0.1 + 1 4 225 222 0.4 k0.1 + 1 5 225 221 0.4 k2.1m + A^(4) + A^(6) - A^(10) 4 226 223 0.45 k2.1m + A^(4) + A^(6) - A^(10) 3 225 223 0.35 k0.1 + 1 3 226 224 0.45 k2.1m + A^(4) + A^(6) - A^(10) 2 225 224 0.4 k0.1 + 1 2 226 225 0.35 k0.1 + 1 3 226 224 0.45 k2.1m + A^(4) + A^(6) - A^(10) 2 227 226 0.25 k3.9m + A^(4) - A^(8) - A^(10)*v + A^(12) + A^(14)*v 1 226 226 0.3 k2.1m + A^(4) + A^(6) - A^(10) 2 225 224 0.4 k0.1 + 1 1 225 225 0.3 k0.1 + 1 1 226 226 0.3 k2.1m + A^(4) + A^(6) - A^(10) 0 225 226 0.4 k2.1m + A^(4) + A^(6) - A^(10) 1 224 224 0.35 k2.1m + A^(4) + A^(6) - A^(10) 2 225 224 0.4 k0.1 + 1 2 224 223 0.45 k0.1 + 1 1 224 224 0.35 k2.1m + A^(4) + A^(6) - A^(10) 2 223 222 0.4 k0.1 + 1 1 223 223 0.55 k0.1 + 1 1 224 224 0.35 k2.1m + A^(4) + A^(6) - A^(10) 0 223 224 0.55 k0.1 + 1 0 224 225 0.35 k2.1m + A^(4) + A^(6) - A^(10) 0 222 223 0.75 k0.1 + 1 0 221 222 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 222 222 0.55 k0.1 + 1 1 221 221 0.45 k0.1 + 1 0 221 222 0.45 k2.1m + A^(4) + A^(6) - A^(10) 1 220 220 0.5 k0.1 + 1 0 220 221 0.7 k0.1 + 1 0 221 222 0.45 k2.1m + A^(4) + A^(6) - A^(10) 0 219 220 0.7 k0.1 + 1 0 218 219 0.55 k0.1 + 1 0 217 218 0.45 k0.1 + 1 0 216 217 0.75 k0.1 + 1 0 215 216 0.75 k0.1 + 1 0 214 215 0.8 k0.1 + 1 0 213 214 0.9 k0.1 + 1 0 212 213 0.9 k0.1 + 1 0 211 212 0.9 k0.1 + 1 0 210 211 0.8 k0.1 + 1 0 209 210 0.75 k0.1 + 1 0 208 209 0.75 k0.1 + 1 0 207 208 0.65 k0.1 + 1 0 206 207 0.85 k0.1 + 1 0 205 206 0.75 k0.1 + 1 0 204 205 0.75 k0.1 + 1 0 203 204 0.75 k0.1 + 1 0 202 203 0.6 k0.1 + 1 0 201 202 0.75 k0.1 + 1 0 200 201 0.7 k0.1 + 1 0 199 200 0.75 k0.1 + 1 0 198 199 0.75 k0.1 + 1 0 197 198 0.65 k0.1 + 1 0 196 197 0.7 k0.1 + 1 0 195 196 0.65 k0.1 + 1 0 194 195 0.8 k0.1 + 1 0 193 194 0.95 k0.1 + 1 0 192 193 0.8 k0.1 + 1 0 191 192 0.65 k0.1 + 1 0 190 191 0.9 k0.1 + 1 0 189 190 0.9 k0.1 + 1 0 188 189 0.75 k0.1 + 1 0 187 188 0.7 k0.1 + 1 0 186 187 0.9 k0.1 + 1 0 185 186 0.65 k0.1 + 1 0 184 185 0.5 k0.1 + 1 0 183 184 0.55 k0.1 + 1 0 182 183 0.65 k0.1 + 1 0 181 182 0.65 k0.1 + 1 0 180 181 0.75 k0.1 + 1 0 179 180 0.65 k0.1 + 1 0 178 179 0.75 k0.1 + 1 0 177 178 0.85 k0.1 + 1 0 176 177 0.8 k0.1 + 1 0 175 176 0.8 k0.1 + 1 0 174 175 0.9 k0.1 + 1 0 173 174 0.7 k0.1 + 1 0 172 173 0.85 k0.1 + 1 0 171 172 0.9 k0.1 + 1 0 170 171 0.9 k0.1 + 1 0 169 170 0.8 k0.1 + 1 0 168 169 0.8 k0.1 + 1 0 167 168 0.75 k0.1 + 1 0 166 167 0.8 k0.1 + 1 0 165 166 0.75 k0.1 + 1 0 164 165 0.8 k0.1 + 1 0 163 164 0.8 k0.1 + 1 0 162 163 0.95 k0.1 + 1 0 161 162 0.8 k0.1 + 1 0 160 161 0.9 k0.1 + 1 0 159 160 0.9 k0.1 + 1 0 158 159 1 k0.1 + 1 0 157 158 0.85 k0.1 + 1 0 156 157 0.8 k0.1 + 1 0 155 156 0.9 k0.1 + 1 0 154 155 0.95 k0.1 + 1 0 153 154 0.75 k0.1 + 1 0 152 153 0.85 k0.1 + 1 0 151 152 0.85 k0.1 + 1 0 150 151 0.8 k0.1 + 1 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