I can think of several different reasonable ways to think about rarity: 1. One is to multiply the probabilities of the individual traits appearing in the collection. 2. One issue with this is that if a piece has one trait that is super rare, the overall rarity goes up quite a bit. Instead, you can say that a piece should be rare if it has multiple fairly rare traits (even if it doesn't have any super rare traits). For that, you can look at summing the probabilities instead of multiplying them. Note that this is mathematically equivalent to checking how many traits a piece has in common, on average, with all other pieces in the collection. 3. You can also look at how many other pieces in the collection have ALL their traits in common with a piece. That's not super useful, because 639 pieces in the Confluence collection don't have any other piece with ALL traits in common :) But I've included it here anyway in case it is helpful. All this info can be found below. On the left is the id of the piece, and on the right is a rarity score. The lower the score, the more rare the piece. There are probably several other reasonable ways to do this. You're welcome to come up with your own lists too if you like (I am happy to provide the traits data) :) I personally enjoy the aesthetics of the pieces more than the rarities. In fact, some palettes that I like more are more common because I wanted more pieces with those palettes :) At the same time, I also paid a bit more attention to the pieces I expected to be rare and made sure I like those sufficiently because I figured those might be sought after and I didn't want them to be in conflict with my aesthetic preferences. At the end of the day, I like all the pieces in the collection because I curated them :) So if knowing the rarities helps some of you connect and engage with the art more, happy to provide this info :) So here goes: Multiplying probabilities: a single rare trait can make a piece quite rare 843 3.5725e-08 684 1.6738e-07 455 2.692e-07 706 4.2849e-07 824 5.801e-07 50 5.8065e-07 153 6.3083e-07 916 6.3083e-07 652 6.6654e-07 780 7.1982e-07 390 8.0401e-07 925 9.4582e-07 960 1.0123e-06 685 1.1573e-06 935 1.2274e-06 781 1.2897e-06 70 1.6678e-06 198 1.6717e-06 399 2.1035e-06 4 2.1281e-06 355 2.1806e-06 948 2.3646e-06 51 2.4959e-06 91 2.5107e-06 641 2.5697e-06 801 2.6489e-06 737 2.7183e-06 253 3.1738e-06 720 3.1738e-06 283 3.1948e-06 653 3.2004e-06 904 4.1868e-06 272 4.3718e-06 713 4.5229e-06 774 4.7081e-06 517 4.7178e-06 64 4.7238e-06 613 4.8007e-06 162 4.8148e-06 944 4.8148e-06 816 5.0817e-06 102 5.4346e-06 762 6.0465e-06 840 6.0678e-06 491 6.191e-06 408 6.2584e-06 98 6.4483e-06 247 6.6416e-06 537 6.7183e-06 731 6.7183e-06 23 6.7933e-06 463 8.1607e-06 580 8.2484e-06 515 8.3081e-06 76 8.8941e-06 420 8.9577e-06 20 9.034e-06 997 9.4162e-06 588 9.5213e-06 427 9.7735e-06 95 9.8255e-06 759 9.8386e-06 268 9.8502e-06 594 1.0032e-05 97 1.0081e-05 553 1.0483e-05 671 1.0829e-05 539 1.0881e-05 484 1.1197e-05 374 1.1322e-05 533 1.1322e-05 841 1.1322e-05 823 1.1421e-05 323 1.1613e-05 54 1.1662e-05 821 1.2117e-05 694 1.2378e-05 476 1.2672e-05 294 1.2695e-05 700 1.2945e-05 334 1.3026e-05 768 1.3026e-05 0 1.3197e-05 902 1.3442e-05 132 1.3806e-05 787 1.4402e-05 798 1.4606e-05 329 1.4718e-05 956 1.4902e-05 636 1.5002e-05 12 1.5234e-05 619 1.5372e-05 777 1.5551e-05 735 1.5694e-05 839 1.5694e-05 461 1.5747e-05 69 1.6002e-05 136 1.6181e-05 784 1.6181e-05 300 1.6289e-05 842 1.6496e-05 302 1.6643e-05 982 1.6821e-05 73 1.6964e-05 567 1.6983e-05 854 1.7475e-05 885 1.7681e-05 850 1.8115e-05 761 1.8608e-05 474 1.8811e-05 532 1.9203e-05 151 1.9595e-05 167 1.9854e-05 122 2.0957e-05 874 2.1812e-05 813 2.2216e-05 692 2.2653e-05 325 2.2984e-05 497 2.3803e-05 267 2.4271e-05 674 2.5231e-05 744 2.5231e-05 263 2.539e-05 454 2.539e-05 185 2.5889e-05 901 2.6365e-05 923 2.6564e-05 303 2.6884e-05 465 2.7184e-05 875 2.8192e-05 317 2.8532e-05 880 2.9992e-05 849 3.0724e-05 750 3.1611e-05 428 3.211e-05 971 3.2233e-05 979 3.2324e-05 421 3.2959e-05 640 3.3755e-05 794 3.468e-05 152 3.4985e-05 649 3.6117e-05 157 3.7665e-05 79 3.7865e-05 835 3.8085e-05 68 3.8405e-05 886 3.8423e-05 704 3.8585e-05 112 3.8834e-05 807 3.8834e-05 941 3.9527e-05 569 3.9826e-05 976 3.9989e-05 271 4.0019e-05 782 4.029e-05 291 4.0326e-05 40 4.0758e-05 146 4.0977e-05 367 4.1903e-05 919 4.2549e-05 494 4.3024e-05 639 4.3024e-05 858 4.3024e-05 277 4.3545e-05 800 4.3669e-05 863 4.5606e-05 425 4.6277e-05 77 4.6468e-05 314 4.7974e-05 970 4.8542e-05 586 4.9379e-05 66 4.9447e-05 404 4.9447e-05 668 4.9817e-05 467 4.9987e-05 480 5.0418e-05 831 5.0463e-05 742 5.1059e-05 214 5.2648e-05 342 5.3071e-05 714 5.4271e-05 242 5.5688e-05 590 5.5762e-05 734 5.5762e-05 433 5.5942e-05 128 5.6654e-05 520 5.6798e-05 895 5.6798e-05 508 5.7441e-05 444 5.8082e-05 661 5.8251e-05 127 5.838e-05 846 5.8875e-05 695 5.9121e-05 822 5.9528e-05 293 5.9636e-05 328 5.9636e-05 660 5.9636e-05 990 5.9636e-05 900 5.9781e-05 361 5.991e-05 409 6.028e-05 676 6.0301e-05 878 6.0301e-05 995 6.0301e-05 351 6.0488e-05 511 6.1268e-05 259 6.1487e-05 204 6.1584e-05 38 6.2272e-05 629 6.2402e-05 838 6.2402e-05 637 6.2409e-05 192 6.2704e-05 72 6.3177e-05 352 6.3404e-05 452 6.3404e-05 938 6.5209e-05 571 6.537e-05 509 6.5855e-05 743 6.7202e-05 524 6.7209e-05 443 6.7312e-05 723 6.76e-05 395 6.8191e-05 754 6.8273e-05 845 6.8992e-05 530 6.9052e-05 278 6.915e-05 635 6.9422e-05 817 6.9823e-05 541 6.993e-05 806 7.0197e-05 44 7.0359e-05 115 7.041e-05 434 7.041e-05 504 7.0482e-05 340 7.057e-05 306 7.1196e-05 732 7.1196e-05 93 7.1563e-05 584 7.211e-05 591 7.2235e-05 876 7.2235e-05 721 7.2362e-05 993 7.4089e-05 955 7.4726e-05 615 7.8154e-05 30 7.838e-05 134 7.9979e-05 911 7.9979e-05 898 8.0583e-05 775 8.0971e-05 125 8.1054e-05 477 8.1172e-05 369 8.1607e-05 174 8.2518e-05 888 8.2518e-05 943 8.2518e-05 933 8.2705e-05 833 8.3211e-05 457 8.3331e-05 862 8.3889e-05 224 8.414e-05 400 8.414e-05 577 8.4236e-05 155 8.465e-05 984 8.5435e-05 965 8.6315e-05 29 8.6472e-05 148 8.7437e-05 246 8.7884e-05 261 8.8172e-05 416 8.8548e-05 419 8.8765e-05 719 8.8865e-05 834 8.8983e-05 747 8.9602e-05 651 8.9976e-05 936 9.1627e-05 349 9.2278e-05 687 9.2278e-05 946 9.2502e-05 25 9.2728e-05 184 9.36e-05 241 9.4056e-05 620 9.4056e-05 99 9.4082e-05 219 9.4082e-05 365 9.5053e-05 426 9.5053e-05 557 9.6114e-05 410 9.6114e-05 406 9.6761e-05 118 9.6987e-05 424 9.73e-05 385 9.8069e-05 412 9.8069e-05 161 9.8386e-05 472 9.8386e-05 969 9.8386e-05 48 9.8535e-05 453 9.8574e-05 335 9.887e-05 117 9.9214e-05 606 9.9214e-05 795 9.9214e-05 142 0.00010032 521 0.00010032 712 0.00010032 13 0.00010081 101 0.00010107 696 0.00010122 188 0.00010219 526 0.0001022 926 0.00010346 450 0.00010358 85 0.00010413 626 0.00010413 330 0.00010473 662 0.00010473 368 0.0001053 646 0.00010537 171 0.00010561 440 0.00010561 31 0.00010561 223 0.0001065 346 0.00010679 664 0.00010679 529 0.00010727 513 0.00010997 56 0.00011172 309 0.00011615 596 0.00011615 608 0.00011802 859 0.00011864 331 0.0001197 848 0.00011992 415 0.00012232 305 0.00012476 333 0.00012476 60 0.00012558 929 0.00012558 475 0.00012568 431 0.00012658 264 0.00012674 324 0.00012815 109 0.00012898 378 0.00012965 722 0.00012965 705 0.00012992 746 0.00012997 932 0.00013042 985 0.00013074 604 0.00013076 550 0.00013095 178 0.00013302 147 0.0001333 803 0.00013394 547 0.00013403 498 0.0001344 432 0.00013543 429 0.0001381 411 0.00013883 478 0.00013965 538 0.00014045 543 0.00014082 918 0.00014082 601 0.00014108 873 0.00014108 92 0.00014239 572 0.00014239 773 0.00014239 726 0.00014258 202 0.00014266 313 0.00014266 379 0.00014266 663 0.00014266 819 0.00014324 435 0.00014417 357 0.00014726 377 0.00014726 78 0.0001483 633 0.00014846 658 0.00014926 28 0.00015138 228 0.00015154 205 0.00015291 575 0.00015291 7 0.00015485 139 0.00015819 587 0.00015819 931 0.00015842 860 0.00015996 41 0.00017048 358 0.00017087 269 0.00017467 790 0.00017467 749 0.00017545 299 0.00017662 490 0.00017797 988 0.00017927 551 0.00017954 59 0.00018154 288 0.0001821 67 0.00018299 647 0.00018511 503 0.00018546 144 0.00018573 905 0.00018678 386 0.00019155 284 0.00019225 967 0.00019517 401 0.00019539 535 0.00019614 191 0.00019715 994 0.00019734 446 0.00019774 493 0.00019774 717 0.00019774 595 0.00019995 610 0.00019995 675 0.00019995 5 0.00019999 957 0.00020145 172 0.00020163 232 0.00020163 356 0.00020163 699 0.00020163 531 0.00020388 677 0.00020388 812 0.00020388 826 0.00020388 789 0.00020457 84 0.00020685 779 0.00020716 393 0.00020947 788 0.00021011 786 0.00021123 57 0.00021163 555 0.00021163 879 0.00021331 708 0.00021359 689 0.00021569 534 0.00021727 120 0.00021913 518 0.00021913 229 0.00022618 265 0.00022618 495 0.00022618 499 0.00022618 645 0.00022618 945 0.00022618 189 0.00022871 507 0.00022871 659 0.00022871 82 0.00022961 394 0.00023048 32 0.00023539 667 0.00024041 718 0.00024195 545 0.00024219 36 0.00024433 251 0.00024433 481 0.00024465 418 0.0002449 771 0.00024514 847 0.00024517 751 0.00024749 49 0.00024993 422 0.00024993 871 0.00024993 686 0.00024999 17 0.00025025 441 0.00025203 867 0.00025706 45 0.00025785 177 0.00026011 506 0.00026301 442 0.00026946 430 0.00027247 257 0.00027659 599 0.00027782 978 0.00027892 589 0.00027988 861 0.00027988 221 0.00028273 802 0.00028588 62 0.00029132 438 0.00029132 882 0.00029132 972 0.00029132 724 0.000293 648 0.00029562 899 0.000298 175 0.00029986 853 0.00029986 321 0.00030244 363 0.00030614 398 0.00031316 233 0.00031665 266 0.00031665 413 0.00031665 248 0.00031666 574 0.00031701 87 0.00032055 105 0.00032055 110 0.00032055 304 0.00032055 851 0.00032055 942 0.00032055 154 0.00032324 156 0.00032324 158 0.00032324 183 0.00032324 250 0.00032324 341 0.00032324 370 0.00032324 90 0.00032653 536 0.00032685 703 0.00032685 656 0.00032991 388 0.00033269 678 0.00033269 46 0.0003364 186 0.0003364 783 0.0003364 103 0.00033658 208 0.00033658 339 0.00033681 206 0.00033927 857 0.00033927 458 0.00033945 568 0.00033945 913 0.00033945 166 0.00034306 977 0.00034918 392 0.00035405 962 0.000358 96 0.00036151 679 0.00036863 869 0.00036863 252 0.00037006 372 0.00037006 119 0.00037317 523 0.00037466 276 0.00037604 423 0.00037604 436 0.00037604 864 0.00037891 930 0.00037891 15 0.0004083 297 0.0004083 327 0.0004083 730 0.00040996 354 0.00041306 260 0.00042101 312 0.00042101 403 0.00042101 483 0.00042101 544 0.00042101 621 0.00042101 808 0.00042101 338 0.00042118 289 0.00042491 42 0.00042571 650 0.00042571 865 0.00042571 896 0.00042571 468 0.00042818 745 0.00042818 763 0.00042818 906 0.00042989 391 0.00043988 760 0.00044319 983 0.00044853 809 0.00044877 34 0.00044937 910 0.00045009 758 0.00045126 212 0.0004526 709 0.00045512 235 0.00045759 315 0.00045759 951 0.00045759 999 0.00045759 448 0.00045766 670 0.00045766 756 0.00046145 417 0.0004648 733 0.00047733 963 0.00047733 486 0.00048082 197 0.0004817 371 0.00048487 991 0.00048487 27 0.00048672 43 0.0004876 698 0.00049172 973 0.00049304 61 0.0005011 121 0.0005011 682 0.0005011 510 0.00050157 949 0.00050157 318 0.00050274 482 0.00050274 564 0.00050521 778 0.00050669 887 0.00050669 380 0.00050745 225 0.00050846 320 0.00050846 344 0.00050846 39 0.00051095 769 0.00051095 245 0.00051143 18 0.00051414 471 0.00051665 554 0.00051665 654 0.00051665 129 0.00052511 890 0.00052627 407 0.00053097 37 0.00053522 116 0.00053522 193 0.00053522 644 0.00053522 680 0.00053522 987 0.00053522 180 0.00053543 479 0.000537 805 0.000537 176 0.0005412 231 0.0005412 287 0.0005412 307 0.0005412 642 0.0005412 711 0.0005412 767 0.0005412 133 0.00054151 322 0.00054756 625 0.00054756 597 0.00054999 2 0.00057313 262 0.00057313 86 0.00057368 405 0.00057368 522 0.00057368 516 0.00057798 460 0.00057953 160 0.00058008 295 0.00058008 33 0.00059008 672 0.00059008 740 0.00059008 961 0.00059008 981 0.00059008 844 0.00059203 3 0.00059667 71 0.00059667 74 0.00059667 135 0.00059667 150 0.00059667 216 0.00059667 218 0.00059667 227 0.00059667 301 0.00059667 797 0.00059667 893 0.00059667 959 0.00059667 992 0.00059667 280 0.00059938 921 0.00059938 22 0.00060168 47 0.00060168 196 0.00060168 681 0.00060168 690 0.00060168 702 0.00060168 727 0.00060168 804 0.00060168 928 0.00060168 130 0.0006084 437 0.0006084 469 0.0006084 492 0.0006084 528 0.0006084 739 0.0006084 814 0.0006084 907 0.0006084 975 0.0006084 230 0.00061551 582 0.00061958 464 0.00063152 519 0.00063152 868 0.00063152 603 0.00063177 772 0.00063177 810 0.00063177 527 0.00063513 182 0.00063763 310 0.00064222 556 0.00064222 558 0.00064227 738 0.00064227 234 0.00064475 19 0.00064676 728 0.00065017 26 0.00066903 107 0.0006765 381 0.0006765 258 0.00068157 9 0.00068267 934 0.00068617 8 0.00068918 612 0.0007081 140 0.00071123 1 0.00071265 622 0.00071265 818 0.00071265 462 0.00072043 514 0.0007206 825 0.00072202 274 0.00072255 828 0.00072255 210 0.00072522 552 0.00072522 53 0.00072666 666 0.00072666 954 0.00073062 316 0.00073477 892 0.0007376 903 0.0007376 729 0.00074583 827 0.00074931 80 0.00075015 213 0.00075015 347 0.00075015 576 0.00075015 602 0.00075015 607 0.00075015 611 0.00075015 683 0.00075015 701 0.00075015 748 0.00075015 915 0.00075015 16 0.00075853 55 0.00075853 63 0.00075853 168 0.00075853 256 0.00075853 396 0.00075853 402 0.00075853 585 0.00075853 609 0.00075853 673 0.00075853 725 0.00075853 872 0.00075853 968 0.00075853 14 0.0007605 337 0.00076491 359 0.00076491 451 0.00076491 563 0.00076491 877 0.00076491 387 0.0007671 638 0.0007671 131 0.00077344 149 0.00077344 201 0.00077344 270 0.00077344 473 0.00077344 565 0.00077344 716 0.00077344 757 0.00077344 765 0.00077344 815 0.00077344 866 0.00077344 912 0.00077344 914 0.00077344 927 0.00077344 966 0.00077344 614 0.00077567 697 0.00077567 456 0.00077607 94 0.00078219 501 0.00079645 88 0.00080283 159 0.00080283 187 0.00080283 560 0.00080283 583 0.0008055 350 0.00081179 894 0.00081179 11 0.00082611 366 0.00082611 952 0.00082611 100 0.00082978 375 0.00082978 785 0.00083676 165 0.00084236 275 0.00084946 58 0.00086616 820 0.00087244 254 0.00087964 593 0.00087964 791 0.00088218 123 0.00088512 255 0.00088512 736 0.00088512 630 0.00088946 194 0.000895 111 0.00090019 449 0.00090252 326 0.00090518 65 0.00091023 796 0.0009126 173 0.00091789 217 0.00091789 21 0.00092813 753 0.00092813 655 0.00093769 707 0.00093769 561 0.00094816 6 0.00094913 345 0.00094913 459 0.00094913 632 0.00094913 883 0.0009752 496 0.00098609 581 0.0010055 573 0.0010127 282 0.0010182 634 0.0010184 397 0.001024 715 0.001024 939 0.001024 207 0.0010297 389 0.0010297 852 0.0010297 605 0.0010326 856 0.0010326 570 0.0010384 548 0.0010441 10 0.00105 579 0.0010502 837 0.0010619 298 0.0010709 598 0.0010709 114 0.0010828 292 0.0010877 562 0.0010999 897 0.0010999 170 0.0011091 353 0.0011091 290 0.0011157 549 0.0011157 179 0.0011215 319 0.0011252 578 0.0011252 616 0.0011252 974 0.0011252 829 0.0011281 922 0.0011281 181 0.0011474 244 0.0011474 618 0.0011474 793 0.0011474 920 0.0011474 35 0.0011602 447 0.0011602 505 0.0011636 487 0.0011648 281 0.0011778 937 0.0011778 627 0.0012828 958 0.0012828 279 0.0012936 600 0.0012936 542 0.0013081 940 0.0013081 546 0.0013303 141 0.001341 989 0.001341 209 0.0013564 239 0.0014183 908 0.0014342 296 0.0015637 376 0.0015637 104 0.0015812 623 0.0015945 343 0.0016123 755 0.0016123 752 0.0016128 311 0.0016308 237 0.0016326 89 0.0016445 169 0.0016445 285 0.0016445 195 0.0016629 143 0.0016647 200 0.0016647 222 0.0016647 502 0.0016647 106 0.0016833 236 0.0016833 485 0.0016833 799 0.0016833 525 0.001686 657 0.001686 75 0.0017048 383 0.0017048 741 0.0017048 770 0.0017048 688 0.0017472 137 0.0018588 512 0.0018588 884 0.0018588 163 0.0018795 559 0.0018795 889 0.0018795 996 0.0018795 273 0.0018953 776 0.0018953 832 0.0018953 947 0.0018953 617 0.0019165 691 0.0019165 924 0.0019165 964 0.0019165 669 0.0019879 145 0.0020101 211 0.0020101 470 0.002027 500 0.002027 909 0.002027 199 0.0020496 466 0.0020496 628 0.0020496 566 0.0021682 364 0.0022212 81 0.002246 332 0.002363 986 0.0023894 24 0.0024095 336 0.0024095 836 0.0024095 891 0.0024095 980 0.0024095 220 0.0024363 286 0.0024363 382 0.0024363 953 0.0024363 238 0.0024488 950 0.0024488 360 0.0024762 190 0.002497 348 0.002497 414 0.002497 665 0.002497 710 0.002497 855 0.002497 917 0.002497 308 0.0025249 792 0.0025249 881 0.0025249 439 0.0027872 489 0.0027872 126 0.0030389 766 0.0030389 998 0.0030389 764 0.0030728 240 0.0030987 643 0.0030987 226 0.0031131 83 0.0031332 124 0.0031332 488 0.0031332 631 0.0031332 164 0.0031479 362 0.0031479 203 0.0031744 445 0.0031744 592 0.0031744 830 0.0031744 52 0.0032098 243 0.0032098 113 0.0039064 138 0.0039064 215 0.0039064 249 0.0039064 384 0.0039064 811 0.0039064 373 0.0039393 540 0.0039393 624 0.0039393 108 0.0039832 693 0.0039832 870 0.0039832 -------- Summing probabilities: needs multiple reasonably rare traits for a piece to become rare. This is equivalent to the number of traits out of 5, on average, a piece has in common with other pieces in the collection 50 0.528 685 0.553 455 0.563 960 0.565 737 0.611 843 0.829 641 0.892 816 0.921 840 0.924 390 0.933 329 0.949 515 0.961 874 1.011 649 1.04 684 1.111 421 1.119 886 1.122 70 1.144 935 1.144 91 1.169 780 1.296 781 1.31 167 1.327 491 1.338 95 1.351 98 1.364 476 1.365 0 1.373 704 1.377 842 1.377 64 1.38 956 1.381 122 1.382 821 1.383 824 1.39 73 1.391 198 1.399 283 1.403 941 1.408 272 1.41 774 1.412 428 1.416 925 1.43 79 1.434 948 1.436 277 1.437 51 1.439 520 1.444 895 1.444 4 1.445 904 1.453 553 1.455 323 1.458 427 1.458 300 1.466 629 1.466 838 1.466 636 1.47 885 1.475 801 1.477 706 1.479 652 1.489 794 1.489 713 1.498 355 1.499 640 1.505 517 1.506 247 1.508 76 1.509 408 1.51 511 1.512 153 1.513 580 1.513 916 1.513 20 1.515 361 1.518 314 1.52 504 1.521 125 1.524 936 1.527 723 1.529 526 1.53 184 1.533 480 1.535 342 1.536 845 1.542 461 1.543 44 1.544 228 1.544 862 1.549 309 1.553 477 1.553 596 1.553 905 1.554 743 1.567 750 1.572 747 1.572 99 1.573 219 1.573 971 1.579 41 1.581 705 1.581 498 1.582 367 1.585 278 1.617 993 1.618 898 1.626 146 1.63 819 1.632 409 1.633 550 1.636 756 1.655 223 1.656 433 1.672 60 1.674 929 1.674 288 1.683 357 1.684 377 1.684 730 1.686 988 1.689 537 1.703 848 1.705 102 1.707 731 1.709 823 1.709 420 1.71 484 1.711 569 1.712 23 1.714 762 1.715 374 1.716 533 1.716 151 1.718 302 1.719 850 1.719 474 1.72 841 1.72 754 1.722 268 1.723 919 1.725 567 1.726 325 1.727 40 1.727 800 1.727 586 1.728 742 1.729 144 1.73 162 1.73 944 1.73 494 1.73 639 1.73 858 1.73 508 1.732 204 1.733 668 1.733 192 1.734 395 1.736 214 1.737 444 1.737 584 1.737 635 1.737 798 1.737 846 1.737 38 1.738 30 1.739 352 1.739 452 1.739 72 1.74 415 1.741 591 1.742 695 1.742 806 1.742 876 1.742 241 1.744 620 1.744 955 1.744 577 1.746 85 1.747 626 1.747 419 1.747 900 1.747 394 1.75 48 1.75 926 1.751 368 1.752 946 1.753 19 1.757 178 1.757 317 1.758 658 1.76 431 1.76 155 1.761 25 1.767 547 1.768 601 1.769 873 1.769 77 1.774 202 1.774 313 1.774 379 1.774 590 1.775 734 1.775 875 1.777 789 1.778 57 1.779 555 1.779 503 1.78 84 1.783 32 1.787 967 1.79 54 1.795 994 1.795 152 1.797 36 1.8 251 1.8 724 1.801 284 1.804 62 1.805 438 1.805 882 1.805 972 1.805 229 1.807 265 1.807 495 1.807 499 1.807 645 1.807 945 1.807 120 1.808 518 1.808 177 1.81 545 1.81 997 1.811 534 1.811 221 1.812 189 1.812 507 1.812 659 1.812 735 1.813 839 1.813 399 1.814 671 1.814 777 1.814 253 1.814 720 1.814 175 1.815 233 1.815 266 1.815 413 1.815 418 1.815 506 1.815 853 1.815 12 1.815 539 1.816 653 1.816 463 1.816 588 1.816 34 1.817 206 1.817 802 1.817 857 1.817 294 1.817 787 1.818 97 1.819 271 1.82 69 1.82 157 1.82 813 1.82 532 1.821 263 1.821 454 1.821 694 1.822 901 1.822 90 1.822 166 1.822 849 1.823 619 1.824 700 1.824 96 1.825 132 1.825 136 1.825 784 1.825 835 1.825 128 1.826 613 1.826 759 1.826 902 1.826 465 1.826 293 1.827 328 1.827 660 1.827 990 1.827 68 1.827 692 1.827 497 1.828 761 1.828 185 1.828 863 1.829 303 1.829 530 1.83 714 1.83 93 1.831 127 1.831 267 1.831 854 1.831 112 1.832 676 1.832 807 1.832 878 1.832 995 1.832 380 1.833 594 1.833 369 1.834 965 1.835 425 1.835 698 1.835 970 1.835 817 1.835 29 1.836 933 1.836 242 1.836 246 1.836 524 1.836 637 1.836 834 1.836 721 1.836 340 1.837 349 1.837 541 1.837 687 1.837 115 1.837 434 1.837 844 1.837 822 1.838 911 1.838 424 1.839 101 1.839 259 1.839 335 1.839 174 1.839 888 1.839 943 1.839 280 1.84 775 1.84 921 1.84 450 1.84 651 1.841 148 1.841 833 1.841 719 1.841 416 1.842 306 1.842 443 1.842 661 1.842 732 1.842 261 1.843 859 1.843 188 1.844 365 1.844 938 1.844 161 1.844 472 1.844 969 1.844 529 1.845 13 1.846 117 1.846 426 1.846 606 1.846 696 1.846 795 1.846 224 1.846 330 1.846 400 1.846 662 1.846 984 1.846 513 1.847 171 1.848 440 1.848 982 1.848 406 1.849 557 1.849 674 1.849 744 1.849 475 1.85 142 1.851 147 1.851 410 1.851 521 1.851 712 1.851 109 1.852 264 1.852 429 1.852 831 1.852 803 1.853 346 1.853 453 1.853 633 1.853 663 1.853 664 1.853 56 1.853 31 1.854 378 1.855 722 1.855 726 1.855 462 1.855 305 1.856 333 1.856 331 1.856 985 1.857 324 1.857 749 1.857 932 1.857 478 1.857 432 1.858 931 1.858 551 1.858 880 1.859 411 1.859 538 1.859 543 1.859 918 1.859 28 1.86 435 1.86 976 1.86 467 1.861 269 1.862 790 1.862 7 1.862 291 1.862 779 1.862 67 1.863 59 1.863 134 1.864 351 1.864 92 1.864 572 1.864 773 1.864 78 1.866 139 1.867 587 1.867 191 1.867 299 1.867 393 1.867 358 1.868 879 1.869 490 1.869 746 1.869 786 1.869 647 1.87 446 1.871 493 1.871 717 1.871 45 1.872 334 1.872 768 1.872 860 1.872 689 1.874 708 1.874 6 1.875 345 1.875 459 1.875 632 1.875 82 1.876 595 1.876 610 1.876 675 1.876 386 1.877 615 1.877 867 1.877 172 1.878 205 1.878 232 1.878 356 1.878 575 1.878 699 1.878 923 1.88 509 1.881 589 1.881 861 1.881 49 1.881 422 1.881 871 1.881 718 1.882 441 1.883 531 1.883 677 1.883 812 1.883 826 1.883 646 1.884 401 1.886 782 1.886 363 1.887 481 1.887 321 1.888 656 1.889 339 1.89 487 1.89 751 1.89 252 1.89 372 1.89 388 1.891 678 1.891 119 1.892 648 1.892 864 1.892 930 1.892 899 1.893 260 1.894 312 1.894 403 1.894 483 1.894 544 1.894 621 1.894 808 1.894 17 1.895 281 1.895 937 1.895 46 1.896 186 1.896 783 1.896 257 1.897 118 1.897 564 1.898 957 1.898 979 1.898 890 1.899 906 1.899 978 1.899 42 1.899 650 1.899 865 1.899 896 1.899 391 1.9 66 1.901 404 1.901 385 1.902 412 1.902 464 1.904 519 1.904 604 1.904 868 1.904 571 1.905 442 1.906 15 1.907 297 1.907 327 1.907 983 1.907 457 1.908 535 1.908 574 1.909 667 1.909 788 1.909 977 1.909 847 1.911 276 1.911 423 1.911 430 1.911 436 1.911 458 1.912 568 1.912 913 1.912 87 1.914 105 1.914 110 1.914 304 1.914 851 1.914 942 1.914 2 1.915 5 1.915 103 1.915 208 1.915 262 1.915 154 1.916 156 1.916 158 1.916 183 1.916 250 1.916 341 1.916 370 1.916 760 1.916 771 1.916 326 1.917 398 1.917 679 1.917 869 1.917 599 1.918 686 1.918 212 1.919 460 1.92 527 1.921 536 1.921 703 1.921 61 1.922 121 1.922 248 1.922 682 1.922 809 1.922 417 1.923 448 1.924 486 1.924 670 1.924 310 1.926 371 1.926 556 1.926 991 1.926 290 1.927 549 1.927 778 1.927 887 1.927 289 1.927 39 1.929 769 1.929 235 1.929 315 1.929 951 1.929 999 1.929 258 1.932 829 1.932 922 1.932 471 1.934 554 1.934 654 1.934 140 1.935 597 1.936 8 1.937 100 1.939 375 1.939 523 1.939 468 1.941 745 1.941 763 1.941 785 1.941 141 1.942 210 1.942 552 1.942 989 1.942 197 1.943 225 1.944 320 1.944 344 1.944 37 1.945 116 1.945 193 1.945 644 1.945 680 1.945 987 1.945 275 1.947 230 1.948 18 1.949 558 1.949 738 1.949 26 1.95 176 1.95 231 1.95 287 1.95 307 1.95 642 1.95 711 1.95 767 1.95 274 1.952 828 1.952 827 1.953 456 1.954 58 1.954 634 1.954 88 1.955 107 1.955 159 1.955 187 1.955 381 1.955 560 1.955 688 1.957 954 1.957 207 1.959 282 1.959 389 1.959 852 1.959 350 1.96 894 1.96 570 1.961 10 1.966 505 1.973 546 1.977 566 1.977 239 1.978 608 1.98 908 1.983 209 1.984 392 1.988 525 1.988 657 1.988 354 1.99 237 1.992 510 1.993 949 1.993 75 1.993 383 1.993 741 1.993 770 1.993 962 1.993 33 1.996 672 1.996 740 1.996 961 1.996 981 1.996 582 1.997 338 1.997 733 1.997 963 1.997 758 1.998 143 1.999 200 1.999 222 1.999 479 1.999 502 1.999 805 1.999 245 2 612 2 133 2.001 892 2.001 903 2.001 3 2.001 71 2.001 74 2.001 135 2.001 150 2.001 216 2.001 218 2.001 227 2.001 301 2.001 797 2.001 893 2.001 959 2.001 992 2.001 387 2.002 638 2.002 22 2.003 47 2.003 196 2.003 681 2.003 690 2.003 702 2.003 727 2.003 804 2.003 928 2.003 11 2.004 27 2.004 106 2.004 236 2.004 366 2.004 485 2.004 603 2.004 772 2.004 799 2.004 810 2.004 934 2.004 952 2.004 123 2.006 255 2.006 322 2.006 625 2.006 729 2.006 736 2.006 516 2.007 614 2.007 697 2.007 825 2.007 130 2.008 364 2.008 437 2.008 469 2.008 492 2.008 528 2.008 583 2.008 739 2.008 814 2.008 907 2.008 975 2.008 94 2.009 165 2.011 194 2.011 820 2.012 14 2.013 81 2.013 449 2.013 791 2.017 796 2.018 627 2.024 958 2.024 279 2.026 600 2.026 296 2.029 376 2.029 542 2.031 940 2.031 439 2.033 489 2.033 104 2.034 623 2.036 910 2.039 137 2.039 512 2.039 884 2.039 43 2.04 129 2.041 343 2.041 755 2.041 182 2.044 163 2.044 559 2.044 709 2.044 889 2.044 996 2.044 973 2.045 1 2.046 273 2.046 407 2.046 622 2.046 776 2.046 818 2.046 832 2.046 947 2.046 80 2.047 213 2.047 347 2.047 576 2.047 602 2.047 607 2.047 611 2.047 683 2.047 701 2.047 748 2.047 915 2.047 180 2.048 86 2.049 234 2.049 405 2.049 522 2.049 9 2.05 111 2.051 514 2.051 728 2.051 617 2.051 691 2.051 924 2.051 964 2.051 655 2.052 707 2.052 16 2.052 55 2.052 63 2.052 168 2.052 256 2.052 318 2.052 396 2.052 402 2.052 482 2.052 585 2.052 609 2.052 673 2.052 725 2.052 872 2.052 968 2.052 53 2.053 501 2.053 666 2.053 883 2.053 160 2.054 295 2.054 337 2.054 359 2.054 451 2.054 563 2.054 573 2.054 877 2.054 579 2.055 292 2.056 65 2.056 254 2.057 319 2.057 561 2.057 578 2.057 593 2.057 616 2.057 974 2.057 173 2.058 217 2.058 316 2.058 496 2.058 397 2.059 715 2.059 939 2.059 131 2.059 149 2.059 201 2.059 238 2.059 270 2.059 473 2.059 565 2.059 716 2.059 757 2.059 765 2.059 815 2.059 866 2.059 912 2.059 914 2.059 927 2.059 950 2.059 966 2.059 837 2.06 562 2.061 605 2.061 856 2.061 897 2.061 298 2.062 598 2.062 630 2.062 170 2.063 353 2.063 21 2.063 753 2.063 181 2.064 244 2.064 360 2.064 618 2.064 793 2.064 920 2.064 581 2.065 190 2.066 348 2.066 414 2.066 548 2.066 665 2.066 710 2.066 855 2.066 917 2.066 114 2.067 179 2.068 35 2.069 447 2.069 752 2.07 308 2.071 792 2.071 881 2.071 311 2.075 89 2.077 169 2.077 285 2.077 126 2.079 766 2.079 998 2.079 669 2.08 195 2.082 764 2.084 145 2.085 211 2.085 240 2.086 643 2.086 470 2.087 500 2.087 909 2.087 332 2.09 83 2.091 124 2.091 488 2.091 631 2.091 199 2.092 466 2.092 628 2.092 986 2.095 24 2.097 336 2.097 836 2.097 891 2.097 980 2.097 220 2.102 286 2.102 382 2.102 953 2.102 226 2.11 164 2.115 362 2.115 203 2.117 445 2.117 592 2.117 830 2.117 52 2.122 243 2.122 113 2.135 138 2.135 215 2.135 249 2.135 384 2.135 811 2.135 373 2.137 540 2.137 624 2.137 108 2.142 693 2.142 870 2.142 -------- Number of other pieces in the collection with ALL traits in common with a piece 0 0 4 0 5 0 7 0 8 0 9 0 10 0 12 0 13 0 14 0 17 0 18 0 19 0 20 0 22 0 23 0 25 0 26 0 27 0 28 0 29 0 30 0 31 0 32 0 34 0 37 0 38 0 39 0 40 0 41 0 43 0 44 0 45 0 48 0 50 0 51 0 54 0 56 0 57 0 58 0 59 0 60 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 0 71 0 72 0 73 0 74 0 76 0 77 0 78 0 79 0 81 0 82 0 84 0 87 0 88 0 90 0 91 0 92 0 93 0 94 0 95 0 96 0 97 0 98 0 101 0 102 0 104 0 109 0 110 0 111 0 112 0 114 0 115 0 116 0 117 0 118 0 119 0 122 0 125 0 127 0 128 0 129 0 131 0 132 0 133 0 134 0 136 0 140 0 144 0 146 0 147 0 148 0 149 0 151 0 152 0 153 0 155 0 156 0 157 0 158 0 162 0 165 0 166 0 167 0 171 0 174 0 176 0 177 0 178 0 179 0 180 0 182 0 184 0 185 0 188 0 189 0 191 0 192 0 193 0 194 0 195 0 197 0 198 0 202 0 204 0 209 0 212 0 214 0 216 0 218 0 221 0 223 0 226 0 228 0 230 0 231 0 234 0 237 0 239 0 242 0 245 0 246 0 247 0 248 0 253 0 255 0 256 0 257 0 258 0 259 0 260 0 261 0 263 0 264 0 267 0 268 0 270 0 271 0 272 0 275 0 277 0 278 0 282 0 283 0 284 0 288 0 289 0 291 0 292 0 293 0 294 0 299 0 300 0 302 0 303 0 304 0 306 0 311 0 312 0 313 0 314 0 316 0 317 0 321 0 323 0 324 0 325 0 326 0 328 0 329 0 330 0 331 0 332 0 334 0 335 0 338 0 339 0 340 0 342 0 346 0 351 0 352 0 354 0 355 0 356 0 358 0 359 0 360 0 361 0 363 0 364 0 365 0 367 0 368 0 369 0 374 0 379 0 380 0 385 0 386 0 390 0 391 0 392 0 393 0 394 0 395 0 396 0 398 0 399 0 401 0 404 0 406 0 407 0 408 0 409 0 410 0 411 0 412 0 415 0 416 0 417 0 418 0 419 0 420 0 421 0 424 0 425 0 426 0 427 0 428 0 429 0 430 0 431 0 432 0 433 0 434 0 435 0 437 0 440 0 441 0 442 0 443 0 444 0 446 0 449 0 450 0 451 0 452 0 453 0 454 0 455 0 456 0 457 0 460 0 461 0 462 0 463 0 465 0 467 0 471 0 474 0 475 0 476 0 477 0 478 0 480 0 481 0 483 0 484 0 486 0 487 0 490 0 491 0 492 0 493 0 494 0 495 0 496 0 497 0 498 0 499 0 501 0 503 0 504 0 505 0 506 0 508 0 509 0 511 0 513 0 514 0 515 0 516 0 517 0 520 0 521 0 523 0 524 0 526 0 527 0 528 0 529 0 530 0 531 0 532 0 533 0 534 0 535 0 536 0 537 0 538 0 539 0 541 0 543 0 544 0 545 0 546 0 547 0 548 0 550 0 551 0 553 0 555 0 557 0 561 0 563 0 564 0 566 0 567 0 569 0 570 0 571 0 572 0 573 0 574 0 576 0 577 0 579 0 580 0 581 0 582 0 583 0 584 0 585 0 586 0 588 0 590 0 594 0 595 0 597 0 599 0 602 0 604 0 606 0 607 0 608 0 610 0 611 0 612 0 613 0 615 0 616 0 619 0 621 0 623 0 630 0 633 0 634 0 635 0 636 0 637 0 639 0 640 0 641 0 642 0 644 0 645 0 646 0 647 0 648 0 649 0 650 0 651 0 652 0 653 0 656 0 658 0 660 0 661 0 662 0 663 0 664 0 667 0 668 0 669 0 671 0 672 0 673 0 674 0 675 0 676 0 677 0 680 0 681 0 684 0 685 0 686 0 688 0 689 0 692 0 694 0 695 0 696 0 698 0 700 0 701 0 702 0 703 0 704 0 705 0 706 0 708 0 709 0 711 0 713 0 714 0 716 0 717 0 718 0 719 0 720 0 721 0 723 0 724 0 725 0 726 0 727 0 728 0 729 0 730 0 731 0 732 0 734 0 735 0 737 0 740 0 742 0 743 0 744 0 746 0 747 0 748 0 749 0 750 0 751 0 752 0 754 0 756 0 758 0 759 0 760 0 761 0 762 0 764 0 767 0 768 0 769 0 771 0 773 0 774 0 775 0 777 0 779 0 780 0 781 0 782 0 784 0 785 0 786 0 787 0 788 0 789 0 791 0 794 0 795 0 796 0 797 0 798 0 800 0 801 0 802 0 803 0 806 0 807 0 809 0 812 0 813 0 814 0 816 0 817 0 819 0 820 0 821 0 822 0 823 0 824 0 825 0 826 0 827 0 831 0 833 0 834 0 835 0 837 0 839 0 840 0 841 0 842 0 843 0 844 0 845 0 846 0 847 0 848 0 849 0 850 0 854 0 858 0 859 0 860 0 862 0 863 0 866 0 867 0 872 0 874 0 875 0 878 0 879 0 880 0 883 0 885 0 886 0 888 0 890 0 895 0 896 0 898 0 899 0 900 0 901 0 902 0 904 0 905 0 906 0 907 0 908 0 910 0 911 0 916 0 918 0 919 0 923 0 925 0 926 0 928 0 929 0 931 0 932 0 933 0 934 0 935 0 936 0 938 0 941 0 942 0 943 0 944 0 945 0 946 0 948 0 954 0 955 0 956 0 957 0 959 0 960 0 961 0 962 0 965 0 967 0 969 0 970 0 971 0 973 0 976 0 977 0 978 0 979 0 982 0 983 0 984 0 985 0 986 0 987 0 988 0 990 0 993 0 994 0 995 0 997 0 2 1 16 1 21 1 33 1 35 1 36 1 42 1 47 1 52 1 53 1 55 1 85 1 99 1 100 1 103 1 105 1 107 1 120 1 123 1 130 1 135 1 139 1 141 1 142 1 145 1 160 1 161 1 164 1 168 1 170 1 173 1 175 1 181 1 183 1 196 1 205 1 206 1 208 1 210 1 211 1 213 1 217 1 219 1 224 1 227 1 229 1 238 1 240 1 241 1 243 1 250 1 251 1 252 1 254 1 262 1 265 1 269 1 274 1 279 1 280 1 281 1 287 1 290 1 295 1 296 1 298 1 301 1 305 1 307 1 309 1 310 1 318 1 322 1 333 1 337 1 343 1 347 1 349 1 350 1 353 1 357 1 362 1 371 1 372 1 375 1 376 1 377 1 378 1 381 1 387 1 388 1 400 1 402 1 403 1 439 1 447 1 448 1 469 1 472 1 473 1 479 1 482 1 489 1 507 1 510 1 518 1 525 1 542 1 549 1 552 1 554 1 556 1 558 1 562 1 575 1 587 1 589 1 591 1 593 1 596 1 598 1 600 1 601 1 605 1 609 1 614 1 620 1 625 1 626 1 627 1 629 1 638 1 643 1 654 1 655 1 657 1 659 1 666 1 670 1 678 1 679 1 687 1 690 1 697 1 707 1 712 1 722 1 733 1 736 1 738 1 739 1 753 1 755 1 778 1 790 1 793 1 804 1 805 1 808 1 828 1 829 1 838 1 851 1 853 1 856 1 857 1 861 1 864 1 865 1 869 1 873 1 876 1 877 1 887 1 892 1 893 1 894 1 897 1 903 1 912 1 921 1 922 1 927 1 930 1 937 1 940 1 949 1 950 1 958 1 963 1 966 1 968 1 975 1 981 1 989 1 991 1 1 2 3 2 11 2 15 2 46 2 49 2 61 2 80 2 86 2 89 2 108 2 121 2 126 2 137 2 150 2 154 2 159 2 169 2 172 2 186 2 187 2 199 2 201 2 207 2 225 2 232 2 233 2 244 2 266 2 276 2 285 2 297 2 308 2 319 2 320 2 327 2 341 2 344 2 366 2 370 2 373 2 389 2 397 2 405 2 413 2 422 2 423 2 436 2 458 2 464 2 466 2 468 2 470 2 500 2 512 2 519 2 522 2 540 2 560 2 565 2 568 2 578 2 603 2 618 2 622 2 624 2 628 2 682 2 683 2 693 2 699 2 715 2 745 2 757 2 763 2 765 2 766 2 772 2 783 2 792 2 810 2 815 2 818 2 852 2 868 2 870 2 871 2 881 2 884 2 909 2 913 2 914 2 915 2 920 2 939 2 952 2 974 2 992 2 998 2 6 3 62 3 75 3 83 3 106 3 124 3 143 3 163 3 200 3 203 3 220 3 222 3 235 3 236 3 273 3 286 3 315 3 345 3 382 3 383 3 438 3 445 3 459 3 485 3 488 3 502 3 559 3 592 3 617 3 631 3 632 3 691 3 741 3 770 3 776 3 799 3 830 3 832 3 882 3 889 3 924 3 947 3 951 3 953 3 964 3 972 3 996 3 999 3 24 4 336 4 836 4 891 4 980 4 113 5 138 5 215 5 249 5 384 5 811 5 190 6 348 6 414 6 665 6 710 6 855 6 917 6 --------