M6 for hard hexagon without Effect of Orders: Type 1 has 6 children: 2 3 4 5 6 7 Type 2 has 5 children: 8 9 10 11 12 Type 3 has 5 children: 13 14 15 16 17 Type 4 has 5 children: 18 19 20 21 22 Type 5 has 5 children: 23 24 25 26 27 Type 6 has 5 children: 28 29 30 31 32 Type 7 has 5 children: 33 34 35 36 37 Type 8 has 5 children: 8 38 39 40 41 Type 9 has 5 children: 13 42 43 44 45 Type 10 has 4 children: 18 46 47 48 Type 11 has 4 children: 28 49 50 51 Type 12 has 5 children: 33 52 53 54 55 Type 13 has 5 children: 56 9 57 58 59 Type 14 has 5 children: 60 14 61 62 63 Type 15 has 5 children: 64 19 65 66 67 Type 16 has 4 children: 23 68 69 70 Type 17 has 4 children: 71 34 72 73 Type 18 has 4 children: 74 75 10 76 Type 19 has 5 children: 77 78 15 79 80 Type 20 has 5 children: 81 82 20 83 84 Type 21 has 5 children: 85 24 86 87 88 Type 22 has 4 children: 29 89 90 91 Type 23 has 4 children: 92 93 94 16 Type 24 has 5 children: 95 96 97 21 98 Type 25 has 5 children: 99 100 25 101 102 Type 26 has 5 children: 103 104 30 105 106 Type 27 has 4 children: 107 35 108 109 Type 28 has 4 children: 110 111 11 112 Type 29 has 4 children: 113 114 115 22 Type 30 has 5 children: 116 117 118 26 119 Type 31 has 5 children: 120 121 122 31 123 Type 32 has 5 children: 124 125 126 36 127 Type 33 has 5 children: 128 129 130 131 12 Type 34 has 4 children: 132 133 134 17 Type 35 has 4 children: 135 136 137 27 Type 36 has 5 children: 138 139 140 141 32 Type 37 has 5 children: 142 143 144 145 37 Type 38 has 5 children: 13 42 43 146 45 Type 39 has 4 children: 18 46 147 148 Type 40 has 4 children: 28 149 150 51 Type 41 has 5 children: 33 52 151 54 55 Type 42 has 5 children: 60 14 61 152 63 Type 43 has 5 children: 64 19 65 153 154 Type 44 has 3 children: 23 155 156 Type 45 has 4 children: 71 34 157 73 Type 46 has 5 children: 77 78 15 158 80 Type 47 has 5 children: 81 82 20 159 160 Type 48 has 4 children: 85 24 161 162 Type 49 has 4 children: 163 164 26 119 Type 50 has 5 children: 120 165 166 31 123 Type 51 has 5 children: 124 125 167 36 127 Type 52 has 4 children: 132 133 168 17 Type 53 has 3 children: 169 170 27 Type 54 has 5 children: 138 171 172 141 32 Type 55 has 5 children: 142 143 173 145 37 Type 56 has 5 children: 8 38 39 174 41 Type 57 has 4 children: 18 46 47 175 Type 58 has 3 children: 28 176 177 Type 59 has 5 children: 33 52 178 179 55 Type 60 has 5 children: 56 9 57 180 59 Type 61 has 5 children: 64 19 65 66 181 Type 62 has 4 children: 23 68 182 183 Type 63 has 4 children: 71 34 184 185 Type 64 has 4 children: 74 75 10 186 Type 65 has 5 children: 81 82 20 83 187 Type 66 has 5 children: 85 24 86 188 189 Type 67 has 3 children: 29 190 191 Type 68 has 5 children: 95 96 97 21 192 Type 69 has 5 children: 99 100 25 193 194 Type 70 has 4 children: 104 30 195 196 Type 71 has 5 children: 128 129 130 197 12 Type 72 has 4 children: 138 198 199 32 Type 73 has 5 children: 142 143 200 201 37 Type 74 has 5 children: 8 38 39 202 203 Type 75 has 5 children: 13 42 43 44 204 Type 76 has 4 children: 33 52 205 206 Type 77 has 5 children: 56 9 57 207 208 Type 78 has 5 children: 60 14 61 62 209 Type 79 has 4 children: 23 68 69 210 Type 80 has 3 children: 211 34 212 Type 81 has 4 children: 213 75 10 214 Type 82 has 5 children: 77 78 15 79 215 Type 83 has 5 children: 85 24 86 87 216 Type 84 has 4 children: 29 89 217 218 Type 85 has 4 children: 219 93 94 16 Type 86 has 5 children: 99 100 25 101 220 Type 87 has 5 children: 221 104 30 105 222 Type 88 has 3 children: 35 223 224 Type 89 has 5 children: 116 117 118 26 225 Type 90 has 5 children: 226 121 122 31 227 Type 91 has 4 children: 228 126 36 229 Type 92 has 4 children: 230 9 57 231 Type 93 has 5 children: 232 14 61 62 233 Type 94 has 5 children: 234 19 65 66 67 Type 95 has 3 children: 235 236 10 Type 96 has 5 children: 237 78 15 79 238 Type 97 has 5 children: 239 82 20 83 84 Type 98 has 4 children: 29 89 90 240 Type 99 has 4 children: 241 242 94 16 Type 100 has 5 children: 243 96 97 21 98 Type 101 has 5 children: 244 104 30 105 106 Type 102 has 4 children: 245 35 108 246 Type 103 has 3 children: 247 11 248 Type 104 has 4 children: 249 114 115 22 Type 105 has 5 children: 250 121 122 31 123 Type 106 has 5 children: 251 252 126 36 127 Type 107 has 4 children: 253 254 131 12 Type 108 has 5 children: 255 139 140 141 32 Type 109 has 5 children: 256 257 144 145 37 Type 110 has 5 children: 8 258 259 40 41 Type 111 has 4 children: 13 260 261 45 Type 112 has 5 children: 33 262 53 54 55 Type 113 has 4 children: 263 264 15 79 Type 114 has 5 children: 265 266 20 83 84 Type 115 has 5 children: 267 24 86 87 88 Type 116 has 3 children: 268 269 16 Type 117 has 5 children: 270 271 97 21 98 Type 118 has 5 children: 272 100 25 101 102 Type 119 has 4 children: 273 35 108 109 Type 120 has 4 children: 274 275 11 112 Type 121 has 4 children: 276 277 115 22 Type 122 has 5 children: 278 117 118 26 119 Type 123 has 5 children: 124 279 126 36 127 Type 124 has 5 children: 128 280 281 131 12 Type 125 has 3 children: 282 283 17 Type 126 has 4 children: 284 136 137 27 Type 127 has 5 children: 142 285 144 145 37 Type 128 has 5 children: 8 38 286 40 41 Type 129 has 5 children: 13 42 287 288 45 Type 130 has 3 children: 18 289 290 Type 131 has 4 children: 28 291 50 51 Type 132 has 5 children: 56 9 292 58 59 Type 133 has 5 children: 60 14 293 294 63 Type 134 has 4 children: 64 19 295 296 Type 135 has 4 children: 297 298 21 98 Type 136 has 5 children: 299 300 25 101 102 Type 137 has 5 children: 103 301 30 105 106 Type 138 has 4 children: 110 302 11 112 Type 139 has 3 children: 303 304 22 Type 140 has 5 children: 305 306 118 26 119 Type 141 has 5 children: 120 307 122 31 123 Type 142 has 5 children: 128 129 308 131 12 Type 143 has 4 children: 132 309 310 17 Type 144 has 4 children: 311 312 137 27 Type 145 has 5 children: 138 313 140 141 32 Type 146 has 3 children: 23 155 314 Type 147 has 5 children: 81 82 20 159 315 Type 148 has 3 children: 85 24 316 Type 149 has 3 children: 317 26 119 Type 150 has 5 children: 120 318 166 31 123 Type 151 has 3 children: 319 170 27 Type 152 has 4 children: 23 68 182 320 Type 153 has 5 children: 85 24 86 321 322 Type 154 has 2 children: 29 323 Type 155 has 5 children: 95 96 97 21 324 Type 156 has 4 children: 99 100 25 325 Type 157 has 4 children: 138 326 199 32 Type 158 has 4 children: 23 68 69 327 Type 159 has 5 children: 85 24 86 87 328 Type 160 has 3 children: 29 89 329 Type 161 has 5 children: 99 100 25 101 330 Type 162 has 4 children: 104 30 105 331 Type 163 has 4 children: 332 97 21 98 Type 164 has 5 children: 333 100 25 101 102 Type 165 has 3 children: 334 115 22 Type 166 has 5 children: 335 117 118 26 119 Type 167 has 4 children: 336 136 137 27 Type 168 has 4 children: 64 19 295 337 Type 169 has 4 children: 338 25 101 102 Type 170 has 5 children: 103 339 30 105 106 Type 171 has 2 children: 340 22 Type 172 has 5 children: 341 342 118 26 119 Type 173 has 4 children: 343 312 137 27 Type 174 has 4 children: 28 344 150 51 Type 175 has 4 children: 85 24 161 345 Type 176 has 4 children: 120 346 31 123 Type 177 has 5 children: 124 125 347 36 127 Type 178 has 2 children: 348 27 Type 179 has 5 children: 138 349 350 141 32 Type 180 has 3 children: 28 351 177 Type 181 has 3 children: 29 190 352 Type 182 has 5 children: 99 100 25 193 353 Type 183 has 3 children: 104 30 354 Type 184 has 3 children: 138 355 32 Type 185 has 5 children: 142 143 356 201 37 Type 186 has 4 children: 33 52 357 206 Type 187 has 4 children: 29 89 217 358 Type 188 has 5 children: 359 104 30 105 360 Type 189 has 2 children: 35 361 Type 190 has 5 children: 116 117 118 26 362 Type 191 has 4 children: 121 122 31 363 Type 192 has 4 children: 29 89 90 364 Type 193 has 5 children: 365 104 30 105 106 Type 194 has 3 children: 35 108 366 Type 195 has 5 children: 367 121 122 31 123 Type 196 has 4 children: 368 126 36 127 Type 197 has 4 children: 28 369 50 51 Type 198 has 4 children: 370 118 26 119 Type 199 has 5 children: 120 371 122 31 123 Type 200 has 3 children: 372 137 27 Type 201 has 5 children: 138 373 140 141 32 Type 202 has 3 children: 28 374 51 Type 203 has 5 children: 33 52 375 54 55 Type 204 has 4 children: 71 34 376 73 Type 205 has 4 children: 138 377 141 32 Type 206 has 5 children: 142 143 378 145 37 Type 207 has 2 children: 28 379 Type 208 has 5 children: 33 52 380 381 55 Type 209 has 4 children: 71 34 382 185 Type 210 has 4 children: 104 30 195 383 Type 211 has 5 children: 128 129 130 384 12 Type 212 has 4 children: 142 143 385 37 Type 213 has 5 children: 8 38 39 386 203 Type 214 has 3 children: 33 52 387 Type 215 has 3 children: 211 34 388 Type 216 has 3 children: 35 223 389 Type 217 has 5 children: 390 121 122 31 227 Type 218 has 3 children: 126 36 391 Type 219 has 4 children: 230 9 57 392 Type 220 has 4 children: 393 35 108 246 Type 221 has 2 children: 11 394 Type 222 has 5 children: 395 396 126 36 127 Type 223 has 5 children: 397 139 140 141 32 Type 224 has 4 children: 398 144 145 37 Type 225 has 4 children: 399 35 108 109 Type 226 has 3 children: 400 11 112 Type 227 has 5 children: 124 401 126 36 127 Type 228 has 4 children: 128 402 131 12 Type 229 has 5 children: 142 403 144 145 37 Type 230 has 5 children: 8 38 39 404 41 Type 231 has 4 children: 33 52 405 55 Type 232 has 5 children: 56 9 57 406 59 Type 233 has 3 children: 71 34 407 Type 234 has 4 children: 74 75 10 408 Type 235 has 4 children: 8 38 39 409 Type 236 has 5 children: 13 42 43 44 410 Type 237 has 5 children: 56 9 57 411 412 Type 238 has 2 children: 413 34 Type 239 has 4 children: 213 75 10 414 Type 240 has 4 children: 415 126 36 229 Type 241 has 3 children: 416 9 57 Type 242 has 5 children: 232 14 61 62 417 Type 243 has 3 children: 418 236 10 Type 244 has 3 children: 419 11 248 Type 245 has 3 children: 420 131 12 Type 246 has 5 children: 256 421 144 145 37 Type 247 has 4 children: 8 422 40 41 Type 248 has 5 children: 33 423 53 54 55 Type 249 has 4 children: 424 264 15 79 Type 250 has 4 children: 274 425 11 112 Type 251 has 5 children: 128 426 427 131 12 Type 252 has 2 children: 428 17 Type 253 has 5 children: 8 38 429 40 41 Type 254 has 4 children: 13 42 430 45 Type 255 has 4 children: 110 431 11 112 Type 256 has 5 children: 128 129 432 131 12 Type 257 has 3 children: 132 433 17 Type 258 has 5 children: 13 42 43 434 45 Type 259 has 3 children: 18 46 435 Type 260 has 5 children: 60 14 61 436 63 Type 261 has 4 children: 64 19 65 437 Type 262 has 4 children: 132 133 438 17 Type 263 has 4 children: 56 9 57 439 Type 264 has 5 children: 60 14 61 62 440 Type 265 has 3 children: 441 75 10 Type 266 has 5 children: 77 78 15 79 442 Type 267 has 4 children: 443 93 94 16 Type 268 has 4 children: 444 14 61 62 Type 269 has 5 children: 445 19 65 66 67 Type 270 has 2 children: 446 10 Type 271 has 5 children: 447 78 15 79 448 Type 272 has 4 children: 449 242 94 16 Type 273 has 4 children: 253 450 131 12 Type 274 has 5 children: 8 258 451 40 41 Type 275 has 3 children: 13 452 45 Type 276 has 3 children: 453 15 79 Type 277 has 5 children: 454 266 20 83 84 Type 278 has 3 children: 455 269 16 Type 279 has 3 children: 282 456 17 Type 280 has 5 children: 13 42 457 458 45 Type 281 has 2 children: 18 459 Type 282 has 5 children: 56 9 460 58 59 Type 283 has 4 children: 60 14 461 63 Type 284 has 4 children: 462 298 21 98 Type 285 has 4 children: 132 309 463 17 Type 286 has 4 children: 18 46 147 464 Type 287 has 5 children: 64 19 65 465 466 Type 288 has 2 children: 23 467 Type 289 has 5 children: 77 78 15 468 80 Type 290 has 4 children: 81 82 20 469 Type 291 has 4 children: 470 164 26 119 Type 292 has 4 children: 18 46 47 471 Type 293 has 5 children: 64 19 65 66 472 Type 294 has 3 children: 23 68 473 Type 295 has 5 children: 81 82 20 83 474 Type 296 has 4 children: 85 24 86 475 Type 297 has 4 children: 476 78 15 79 Type 298 has 5 children: 477 82 20 83 84 Type 299 has 3 children: 478 94 16 Type 300 has 5 children: 479 96 97 21 98 Type 301 has 4 children: 480 114 115 22 Type 302 has 4 children: 13 260 481 45 Type 303 has 4 children: 482 20 83 84 Type 304 has 5 children: 483 24 86 87 88 Type 305 has 2 children: 484 16 Type 306 has 5 children: 485 486 97 21 98 Type 307 has 4 children: 487 277 115 22 Type 308 has 3 children: 18 289 488 Type 309 has 5 children: 60 14 293 489 63 Type 310 has 3 children: 64 19 490 Type 311 has 3 children: 491 21 98 Type 312 has 5 children: 492 300 25 101 102 Type 313 has 3 children: 493 304 22 Type 314 has 3 children: 99 100 25 Type 315 has 2 children: 29 89 Type 316 has 4 children: 99 100 25 101 Type 317 has 4 children: 100 25 101 102 Type 318 has 2 children: 115 22 Type 319 has 3 children: 25 101 102 Type 320 has 2 children: 104 30 Type 321 has 4 children: 359 104 30 105 Type 322 has 1 children: 35 Type 323 has 4 children: 116 117 118 26 Type 324 has 3 children: 29 89 90 Type 325 has 4 children: 104 30 105 106 Type 326 has 3 children: 118 26 119 Type 327 has 3 children: 104 30 195 Type 328 has 2 children: 35 223 Type 329 has 4 children: 121 122 31 227 Type 330 has 3 children: 35 108 246 Type 331 has 4 children: 395 126 36 127 Type 332 has 4 children: 447 78 15 79 Type 333 has 3 children: 242 94 16 Type 334 has 4 children: 266 20 83 84 Type 335 has 2 children: 269 16 Type 336 has 3 children: 298 21 98 Type 337 has 3 children: 85 24 86 Type 338 has 4 children: 96 97 21 98 Type 339 has 3 children: 114 115 22 Type 340 has 4 children: 24 86 87 88 Type 341 has 1 children: 16 Type 342 has 4 children: 485 97 21 98 Type 343 has 2 children: 21 98 Type 344 has 2 children: 26 119 Type 345 has 3 children: 104 30 105 Type 346 has 4 children: 117 118 26 119 Type 347 has 3 children: 136 137 27 Type 348 has 4 children: 103 30 105 106 Type 349 has 1 children: 22 Type 350 has 4 children: 341 118 26 119 Type 351 has 3 children: 120 31 123 Type 352 has 3 children: 121 122 31 Type 353 has 2 children: 35 108 Type 354 has 4 children: 121 122 31 123 Type 355 has 4 children: 120 122 31 123 Type 356 has 2 children: 137 27 Type 357 has 3 children: 138 141 32 Type 358 has 2 children: 126 36 Type 359 has 1 children: 11 Type 360 has 4 children: 396 126 36 127 Type 361 has 4 children: 139 140 141 32 Type 362 has 3 children: 35 108 109 Type 363 has 4 children: 124 126 36 127 Type 364 has 3 children: 126 36 229 Type 365 has 2 children: 11 248 Type 366 has 4 children: 256 144 145 37 Type 367 has 3 children: 274 11 112 Type 368 has 4 children: 128 426 131 12 Type 369 has 3 children: 164 26 119 Type 370 has 4 children: 486 97 21 98 Type 371 has 3 children: 277 115 22 Type 372 has 4 children: 300 25 101 102 Type 373 has 2 children: 304 22 Type 374 has 4 children: 120 166 31 123 Type 375 has 2 children: 170 27 Type 376 has 3 children: 138 199 32 Type 377 has 4 children: 342 118 26 119 Type 378 has 3 children: 312 137 27 Type 379 has 4 children: 124 125 36 127 Type 380 has 1 children: 27 Type 381 has 4 children: 138 349 141 32 Type 382 has 2 children: 138 32 Type 383 has 3 children: 126 36 127 Type 384 has 3 children: 28 50 51 Type 385 has 4 children: 138 140 141 32 Type 386 has 2 children: 28 51 Type 387 has 4 children: 142 143 145 37 Type 388 has 3 children: 142 143 37 Type 389 has 3 children: 144 145 37 Type 390 has 2 children: 11 112 Type 391 has 4 children: 142 144 145 37 Type 392 has 3 children: 33 52 55 Type 393 has 2 children: 131 12 Type 394 has 4 children: 33 53 54 55 Type 395 has 4 children: 128 427 131 12 Type 396 has 1 children: 17 Type 397 has 3 children: 110 11 112 Type 398 has 4 children: 128 129 131 12 Type 399 has 3 children: 253 131 12 Type 400 has 4 children: 8 258 40 41 Type 401 has 2 children: 282 17 Type 402 has 4 children: 13 42 457 45 Type 403 has 3 children: 132 309 17 Type 404 has 3 children: 28 150 51 Type 405 has 4 children: 138 350 141 32 Type 406 has 2 children: 28 177 Type 407 has 4 children: 142 143 201 37 Type 408 has 3 children: 33 52 206 Type 409 has 4 children: 33 52 54 55 Type 410 has 3 children: 71 34 73 Type 411 has 1 children: 28 Type 412 has 4 children: 33 52 380 55 Type 413 has 4 children: 128 129 130 12 Type 414 has 2 children: 33 52 Type 415 has 3 children: 128 131 12 Type 416 has 4 children: 8 38 39 41 Type 417 has 2 children: 71 34 Type 418 has 3 children: 8 38 39 Type 419 has 3 children: 8 40 41 Type 420 has 4 children: 8 38 40 41 Type 421 has 2 children: 132 17 Type 422 has 4 children: 13 42 43 45 Type 423 has 3 children: 132 133 17 Type 424 has 3 children: 56 9 57 Type 425 has 2 children: 13 45 Type 426 has 4 children: 13 42 458 45 Type 427 has 1 children: 18 Type 428 has 4 children: 56 9 58 59 Type 429 has 3 children: 18 46 147 Type 430 has 4 children: 64 19 65 465 Type 431 has 3 children: 13 260 45 Type 432 has 2 children: 18 289 Type 433 has 4 children: 60 14 293 63 Type 434 has 2 children: 23 155 Type 435 has 4 children: 81 82 20 159 Type 436 has 3 children: 23 68 182 Type 437 has 4 children: 85 24 86 321 Type 438 has 3 children: 64 19 295 Type 439 has 4 children: 33 52 381 55 Type 440 has 3 children: 71 34 185 Type 441 has 4 children: 8 38 39 203 Type 442 has 2 children: 211 34 Type 443 has 3 children: 230 9 57 Type 444 has 4 children: 56 9 57 59 Type 445 has 3 children: 74 75 10 Type 446 has 4 children: 13 42 43 44 Type 447 has 4 children: 56 9 57 411 Type 448 has 1 children: 34 Type 449 has 2 children: 9 57 Type 450 has 3 children: 13 42 45 Type 451 has 2 children: 18 46 Type 452 has 4 children: 60 14 61 63 Type 453 has 4 children: 60 14 61 62 Type 454 has 2 children: 75 10 Type 455 has 3 children: 14 61 62 Type 456 has 3 children: 60 14 63 Type 457 has 4 children: 64 19 65 466 Type 458 has 1 children: 23 Type 459 has 4 children: 77 78 15 80 Type 460 has 3 children: 18 46 47 Type 461 has 4 children: 64 19 65 66 Type 462 has 3 children: 78 15 79 Type 463 has 2 children: 64 19 Type 464 has 2 children: 85 24 Type 465 has 4 children: 85 24 86 322 Type 466 has 1 children: 29 Type 467 has 4 children: 95 96 97 21 Type 468 has 3 children: 23 68 69 Type 469 has 4 children: 85 24 86 87 Type 470 has 3 children: 97 21 98 Type 471 has 3 children: 85 24 161 Type 472 has 2 children: 29 190 Type 473 has 4 children: 99 100 25 193 Type 474 has 3 children: 29 89 217 Type 475 has 4 children: 104 30 105 360 Type 476 has 4 children: 56 9 57 412 Type 477 has 3 children: 213 75 10 Type 478 has 4 children: 232 14 61 62 Type 479 has 2 children: 236 10 Type 480 has 3 children: 264 15 79 Type 481 has 3 children: 64 19 65 Type 482 has 4 children: 77 78 15 79 Type 483 has 3 children: 93 94 16 Type 484 has 4 children: 19 65 66 67 Type 485 has 1 children: 10 Type 486 has 4 children: 78 15 79 448 Type 487 has 2 children: 15 79 Type 488 has 3 children: 81 82 20 Type 489 has 2 children: 23 68 Type 490 has 4 children: 81 82 20 83 Type 491 has 4 children: 82 20 83 84 Type 492 has 2 children: 94 16 Type 493 has 3 children: 20 83 84