total num of chars: 36 total num of families: 16 chars where some sequence of nonzero coeffs is not unimodal in abs value: none chars where some polynomial has both positive and negative coeffs: none chars where some polynomial has strictly negative coeffs: 1.1111 = 311111111 in family 1.1111 = 311111111 3.2 = 731 in family 3.2 = 731 21.2 = 533 in family 21.2 = 533 2.21 = 53111 in family 2.21 = 53111 11.21 = 33311 in family 11.21 = 33311 11.111 = 3221111 in family 11.111 = 3221111 | 0 rationally smooth elements where some sequence of nonzero coeffs is not unimodal in abs value. | 0 rationally smooth elements where some polynomial has both positive and negative coeffs. | 118 rationally smooth elements where some polynomial has strictly negative coeffs. 3.2 = 731 in family 3.2 = 731 #294 [ 1, 5, 4, 3, 2, 1, 2 ] #295 [ 1, 4, 3, 2, 1, 2, 5 ] #297 [ 1, 3, 2, 1, 2, 5, 4 ] #299 [ 1, 3, 2, 1, 2, 4, 5 ] #301 [ 1, 2, 1, 2, 5, 4, 3 ] #302 [ 1, 2, 1, 2, 4, 3, 5 ] #303 [ 1, 2, 1, 2, 3, 5, 4 ] #305 [ 1, 2, 1, 2, 3, 4, 5 ] #349 [ 2, 1, 5, 4, 3, 2, 1, 2 ] #350 [ 2, 1, 4, 3, 2, 1, 2, 5 ] #357 [ 2, 1, 3, 2, 1, 2, 5, 4 ] #364 [ 2, 1, 3, 2, 1, 2, 4, 5 ] #365 [ 1, 4, 5, 4, 3, 2, 1, 2 ] #366 [ 1, 3, 5, 4, 3, 2, 1, 2 ] #367 [ 1, 3, 4, 3, 2, 1, 2, 5 ] #368 [ 1, 3, 2, 1, 2, 4, 5, 4 ] #370 [ 1, 2, 1, 2, 4, 5, 4, 3 ] #371 [ 1, 2, 1, 2, 3, 5, 4, 3 ] #372 [ 1, 2, 1, 2, 3, 4, 5, 4 ] #373 [ 1, 2, 1, 2, 3, 4, 3, 5 ] #378 [ 1, 2, 1, 2, 5, 4, 3, 2 ] #380 [ 1, 2, 1, 2, 4, 3, 2, 5 ] #382 [ 1, 2, 1, 2, 3, 2, 5, 4 ] #383 [ 1, 2, 1, 2, 3, 2, 4, 5 ] #402 [ 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #404 [ 3, 2, 1, 4, 3, 2, 1, 2, 5 ] #408 [ 2, 1, 4, 5, 4, 3, 2, 1, 2 ] #421 [ 2, 1, 3, 2, 1, 2, 4, 5, 4 ] #422 [ 1, 4, 3, 5, 4, 3, 2, 1, 2 ] #423 [ 1, 3, 4, 3, 2, 1, 2, 5, 4 ] #428 [ 1, 2, 1, 2, 4, 3, 5, 4, 3 ] #429 [ 1, 2, 1, 2, 3, 4, 3, 5, 4 ] #431 [ 1, 2, 1, 2, 5, 4, 3, 2, 1 ] #432 [ 1, 2, 1, 2, 4, 5, 4, 3, 2 ] #433 [ 1, 2, 1, 2, 4, 3, 2, 1, 5 ] #434 [ 1, 2, 1, 2, 3, 2, 1, 5, 4 ] #435 [ 1, 2, 1, 2, 3, 2, 1, 4, 5 ] #436 [ 1, 2, 1, 2, 3, 2, 4, 5, 4 ] #437 [ 1, 2, 1, 5, 4, 3, 2, 1, 2 ] #438 [ 1, 2, 1, 4, 3, 2, 1, 2, 5 ] #442 [ 1, 2, 1, 2, 3, 2, 5, 4, 3 ] #444 [ 1, 2, 1, 2, 3, 2, 4, 3, 5 ] #445 [ 1, 2, 1, 3, 2, 1, 2, 5, 4 ] #448 [ 1, 2, 1, 3, 2, 1, 2, 4, 5 ] #452 [ 4, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #460 [ 2, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #468 [ 2, 3, 2, 1, 4, 3, 2, 1, 2, 5 ] #470 [ 1, 3, 4, 3, 5, 4, 3, 2, 1, 2 ] #474 [ 1, 2, 1, 2, 5, 4, 3, 2, 1, 2 ] #475 [ 1, 2, 1, 2, 4, 3, 2, 1, 2, 5 ] #476 [ 1, 2, 1, 2, 3, 2, 1, 2, 5, 4 ] #477 [ 1, 2, 1, 2, 3, 2, 1, 2, 4, 5 ] #478 [ 1, 2, 1, 2, 3, 4, 3, 5, 4, 3 ] #479 [ 1, 2, 1, 2, 4, 5, 4, 3, 2, 1 ] #480 [ 1, 2, 1, 2, 3, 2, 1, 4, 5, 4 ] #481 [ 1, 2, 1, 4, 5, 4, 3, 2, 1, 2 ] #482 [ 1, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #483 [ 1, 3, 2, 1, 4, 3, 2, 1, 2, 5 ] #484 [ 1, 2, 1, 2, 3, 2, 1, 5, 4, 3 ] #485 [ 1, 2, 1, 2, 3, 2, 5, 4, 3, 2 ] #486 [ 1, 2, 1, 2, 3, 2, 1, 4, 3, 5 ] #487 [ 1, 2, 1, 2, 3, 2, 4, 3, 2, 5 ] #489 [ 1, 2, 1, 2, 3, 2, 4, 3, 5, 4 ] #490 [ 1, 2, 1, 3, 2, 1, 2, 4, 5, 4 ] #493 [ 3, 4, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #497 [ 2, 4, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #503 [ 2, 3, 2, 1, 4, 3, 2, 1, 2, 5, 4 ] #509 [ 1, 2, 1, 2, 4, 5, 4, 3, 2, 1, 2 ] #511 [ 1, 2, 1, 2, 3, 2, 1, 2, 4, 5, 4 ] #512 [ 1, 4, 3, 2, 1, 5, 4, 3, 2, 1, 2 ] #513 [ 1, 2, 1, 2, 4, 3, 2, 5, 4, 3, 2 ] #514 [ 1, 2, 1, 2, 3, 2, 1, 4, 3, 5, 4 ] #515 [ 1, 2, 1, 2, 3, 2, 4, 3, 5, 4, 3 ] #516 [ 1, 2, 1, 2, 3, 2, 4, 3, 2, 5, 4 ] 21.2 = 533 in family 21.2 = 533 #474 [ 1, 2, 1, 2, 5, 4, 3, 2, 1, 2 ] #475 [ 1, 2, 1, 2, 4, 3, 2, 1, 2, 5 ] #476 [ 1, 2, 1, 2, 3, 2, 1, 2, 5, 4 ] #477 [ 1, 2, 1, 2, 3, 2, 1, 2, 4, 5 ] #509 [ 1, 2, 1, 2, 4, 5, 4, 3, 2, 1, 2 ] #511 [ 1, 2, 1, 2, 3, 2, 1, 2, 4, 5, 4 ] 2.21 = 53111 in family 2.21 = 53111 #217 [ 1, 4, 3, 2, 1, 2 ] #220 [ 1, 3, 2, 1, 2, 4 ] #225 [ 1, 2, 1, 2, 4, 3 ] #226 [ 1, 2, 1, 2, 3, 4 ] #278 [ 2, 1, 4, 3, 2, 1, 2 ] #286 [ 2, 1, 3, 2, 1, 2, 4 ] #296 [ 1, 3, 4, 3, 2, 1, 2 ] #304 [ 1, 2, 1, 2, 3, 4, 3 ] #314 [ 1, 2, 1, 2, 4, 3, 2 ] #315 [ 1, 2, 1, 2, 3, 2, 4 ] #344 [ 3, 2, 1, 4, 3, 2, 1, 2 ] #366 [ 1, 3, 5, 4, 3, 2, 1, 2 ] #367 [ 1, 3, 4, 3, 2, 1, 2, 5 ] #371 [ 1, 2, 1, 2, 3, 5, 4, 3 ] #373 [ 1, 2, 1, 2, 3, 4, 3, 5 ] #379 [ 1, 2, 1, 2, 4, 3, 2, 1 ] #381 [ 1, 2, 1, 2, 3, 2, 1, 4 ] #384 [ 1, 2, 1, 4, 3, 2, 1, 2 ] #387 [ 1, 2, 1, 2, 3, 2, 4, 3 ] #389 [ 1, 2, 1, 3, 2, 1, 2, 4 ] #426 [ 1, 2, 1, 2, 4, 3, 2, 1, 2 ] #427 [ 1, 2, 1, 2, 3, 2, 1, 2, 4 ] 11.21 = 33311 in family 11.21 = 33311 #150 [ 1, 2, 1, 5, 4 ] #151 [ 1, 2, 1, 4, 5 ] #227 [ 1, 2, 1, 4, 5, 4 ] #228 [ 1, 5, 4, 3, 2, 1 ] #230 [ 1, 4, 3, 2, 1, 5 ] #233 [ 1, 3, 2, 1, 5, 4 ] #236 [ 1, 3, 2, 1, 4, 5 ] #238 [ 1, 2, 1, 5, 4, 3 ] #239 [ 1, 2, 1, 4, 3, 5 ] #244 [ 1, 2, 1, 3, 5, 4 ] #249 [ 1, 2, 1, 3, 4, 5 ] #306 [ 1, 4, 5, 4, 3, 2, 1 ] #311 [ 1, 3, 2, 1, 4, 5, 4 ] #316 [ 1, 2, 1, 4, 5, 4, 3 ] #325 [ 1, 2, 1, 3, 4, 5, 4 ] #374 [ 1, 4, 3, 5, 4, 3, 2, 1 ] #376 [ 1, 3, 4, 3, 2, 1, 5, 4 ] #388 [ 1, 2, 1, 4, 3, 5, 4, 3 ] #391 [ 1, 2, 1, 3, 4, 3, 5, 4 ] 11.111 = 3221111 in family 11.111 = 3221111 #89 [ 1, 2, 1, 5 ] #90 [ 1, 2, 1, 4 ] #150 [ 1, 2, 1, 5, 4 ] #151 [ 1, 2, 1, 4, 5 ] #154 [ 1, 4, 3, 2, 1 ] #159 [ 1, 3, 2, 1, 4 ] #162 [ 1, 2, 1, 4, 3 ] #167 [ 1, 2, 1, 3, 4 ] 1.1111 = 311111111 in family 1.1111 = 311111111 #46 [ 1, 2, 1 ]