#index_first index_last length frequency knotoid_type polynomial 0 4 5 1 k0.1 0 8 9 1 k0.1 0 12 13 1 k0.1 0 16 17 1 k0.1 0 20 21 1 k0.1 0 24 25 0.96 k0.1 0 28 29 1 k0.1 0 32 33 0.96 k0.1 0 36 37 1 k0.1 0 40 41 1 k0.1 0 44 45 0.98 k0.1 0 48 49 0.96 k0.1 0 52 53 1 k0.1 0 56 57 1 k0.1 0 60 61 1 k0.1 0 66 65 1 k0.1 0 70 69 1 k0.1 0 74 73 1 k0.1 0 78 77 1 k0.1 0 82 81 1 k0.1 0 86 85 1 k0.1 0 90 89 1 k0.1 0 94 93 1 k0.1 0 98 97 0.97 k0.1 0 102 101 1 k0.1 0 106 105 0.97 k0.1 0 110 109 0.97 k0.1 0 114 113 1 k0.1 0 118 117 0.99 k0.1 0 122 121 0.99 k0.1 0 126 125 0.98 k0.1 0 130 129 0.96 k0.1 0 134 133 0.87 k0.1 0 138 137 0.88 k0.1 0 142 141 0.9 k0.1 0 146 145 0.96 k0.1 0 150 149 0.94 k0.1 0 154 153 0.96 k0.1 0 158 157 0.95 k0.1 0 162 161 0.98 k0.1 0 166 165 0.96 k0.1 0 170 169 0.98 k0.1 0 174 173 0.97 k0.1 0 178 177 0.91 k0.1 0 182 181 0.97 k0.1 0 186 185 0.96 k0.1 0 190 189 0.98 k0.1 0 194 193 0.97 k0.1 0 198 197 0.94 k0.1 0 202 201 0.97 k0.1 0 206 205 0.97 k0.1 0 210 209 0.97 k0.1 0 214 213 0.91 k0.1 0 218 217 0.92 k0.1 0 222 221 0.92 k0.1 0 226 225 0.97 k0.1 0 230 229 0.89 k0.1 0 234 233 0.92 k0.1 0 238 237 0.9 k0.1 0 242 241 0.96 k0.1 0 246 245 0.94 k0.1 0 250 249 0.85 k0.1 0 254 253 0.94 k0.1 0 258 257 0.89 k0.1 0 262 261 0.89 k0.1 0 266 265 0.91 k0.1 0 270 269 0.94 k0.1 0 274 273 0.93 k0.1 0 278 277 0.94 k0.1 0 282 281 0.93 k0.1 0 286 285 0.94 k0.1 0 290 289 0.94 k0.1 0 294 293 0.94 k0.1 0 298 297 0.92 k0.1 0 302 301 0.94 k0.1 0 306 305 0.92 k0.1 0 310 309 0.93 k0.1 0 314 313 0.95 k0.1 0 318 317 0.94 k0.1 0 322 321 0.85 k0.1 0 326 325 0.85 k0.1 0 330 329 0.93 k0.1 0 334 333 0.91 k0.1 0 338 337 0.96 k0.1 0 342 341 0.87 k0.1 0 346 345 0.93 k0.1 0 350 349 0.93 k0.1 0 354 353 0.93 k0.1 0 358 357 0.93 k0.1 0 362 361 0.95 k0.1 0 366 365 0.94 k0.1 0 370 369 0.95 k0.1 0 374 373 0.87 k0.1 0 378 377 0.97 k0.1 0 382 381 0.89 k0.1 0 386 385 0.81 k0.1 0 390 389 0.74 k0.1 0 394 393 0.65 k0.1 0 398 397 0.79 k0.1 0 402 401 0.79 k0.1 0 406 405 0.79 k0.1 0 410 409 0.8 k0.1 0 414 413 0.85 k0.1 0 418 417 0.84 k0.1 0 422 421 0.83 k0.1 0 426 425 0.85 k0.1 0 430 429 0.8 k0.1 0 434 433 0.84 k0.1 0 438 437 0.79 k0.1 0 442 441 0.85 k0.1 0 446 445 0.85 k0.1 0 450 449 0.76 k0.1 0 454 453 0.78 k0.1 0 458 457 0.74 k0.1 0 462 461 0.86 k0.1 0 466 465 0.88 k0.1 0 470 469 0.81 k0.1 0 474 473 0.86 k0.1 0 478 477 0.78 k0.1 0 482 481 0.67 k0.1 0 486 485 0.73 k0.1 0 490 489 0.76 k0.1 0 494 493 0.83 k0.1 0 498 497 0.9 k0.1 0 502 501 0.85 k0.1 0 506 505 0.79 k0.1 0 510 509 0.88 k0.1 0 514 513 0.87 k0.1 0 518 517 0.86 k0.1 0 522 521 0.88 k0.1 0 526 525 0.85 k0.1 0 530 529 0.82 k0.1 0 534 533 0.86 k0.1 0 538 537 0.84 k0.1 0 542 541 0.92 k0.1 0 546 545 0.87 k0.1 0 550 549 0.82 k0.1 0 554 553 0.85 k0.1 0 558 557 0.8 k0.1 0 562 561 0.82 k0.1 0 566 565 0.82 k0.1 0 570 569 0.74 k0.1 0 574 573 0.7 k0.1 0 578 577 0.81 k0.1 0 582 581 0.84 k0.1 0 586 585 0.87 k0.1 0 590 589 0.74 k0.1 0 594 593 0.78 k0.1 0 598 597 0.77 k0.1 0 602 601 0.83 k0.1 0 606 605 0.79 k0.1 0 610 609 0.91 k0.1 0 614 613 0.86 k0.1 0 618 617 0.84 k0.1 0 622 621 0.83 k0.1 0 626 625 0.8 k0.1 0 630 629 0.75 k0.1 0 634 633 0.66 k0.1 0 638 637 0.74 k0.1 0 642 641 0.69 k0.1 0 646 645 0.8 k0.1 0 650 649 0.87 k0.1 0 654 653 0.85 k0.1 0 658 657 0.81 k0.1 0 662 661 0.86 k0.1 0 666 665 0.89 k0.1 0 670 669 0.93 k0.1 0 674 673 0.85 k0.1 0 678 677 0.85 k0.1 0 682 681 0.83 k0.1 0 686 685 0.79 k0.1 0 690 689 0.85 k0.1 0 694 693 0.86 k0.1 0 698 697 0.75 k0.1 0 702 701 0.82 k0.1 0 706 705 0.77 k0.1 0 710 709 0.88 k0.1 0 714 713 0.83 k0.1 0 718 717 0.89 k0.1 0 722 721 0.82 k0.1 0 726 725 0.84 k0.1 0 730 729 0.89 k0.1 0 734 733 0.85 k0.1 0 738 737 0.73 k0.1 0 742 741 0.77 k0.1 0 746 745 0.67 k0.1 0 750 749 0.74 k0.1 0 754 753 0.81 k0.1 0 758 757 0.78 k0.1 0 762 761 0.81 k0.1 0 766 765 0.77 k0.1 0 770 769 0.69 k0.1 0 774 773 0.7 k0.1 0 778 777 0.7 k0.1 0 782 781 0.67 k0.1 0 786 785 0.65 k0.1 0 790 789 0.7 k0.1 0 794 793 0.73 k0.1 0 798 797 0.82 k0.1 0 802 801 0.81 k0.1 0 806 805 0.76 k0.1 0 810 809 0.58 k0.1 0 814 813 0.77 k0.1 0 818 817 0.74 k0.1 0 822 821 0.78 k0.1 0 826 825 0.79 k0.1 0 830 829 0.82 k0.1 0 834 833 0.89 k0.1 0 838 837 0.84 k0.1 0 842 841 0.79 k0.1 0 846 845 0.76 k0.1 0 850 849 0.76 k0.1 0 854 853 0.74 k0.1 0 858 857 0.69 k0.1 0 862 861 0.66 k0.1 0 866 865 0.66 k0.1 0 870 869 0.67 k0.1 0 874 873 0.66 k0.1 0 878 877 0.8 k0.1 0 882 881 0.77 k0.1 0 886 885 0.8 k0.1 0 890 889 0.78 k0.1 0 894 893 0.82 k0.1 0 898 897 0.86 k0.1 0 902 901 0.83 k0.1 0 906 905 0.87 k0.1 0 910 909 0.81 k0.1 0 914 913 0.64 k0.1 0 918 917 0.67 k0.1 0 922 921 0.83 k0.1 0 941 925 0.79 k0.1 0 945 929 0.8 k0.1 0 949 933 0.81 k0.1 0 953 937 0.7 k0.1 0 957 941 0.8 k0.1 0 961 945 0.77 k0.1 0 965 949 0.7 k0.1 4 8 5 1 k0.1 4 12 9 1 k0.1 4 16 13 1 k0.1 4 20 17 1 k0.1 4 24 21 1 k0.1 4 28 25 1 k0.1 4 32 29 1 k0.1 4 36 33 1 k0.1 4 40 37 1 k0.1 4 44 41 1 k0.1 4 48 45 1 k0.1 4 52 49 1 k0.1 4 56 53 1 k0.1 4 60 57 1 k0.1 4 66 61 1 k0.1 4 70 65 1 k0.1 4 74 69 0.99 k0.1 4 78 73 1 k0.1 4 82 77 1 k0.1 4 86 81 1 k0.1 4 90 85 1 k0.1 4 94 89 1 k0.1 4 98 93 0.96 k0.1 4 102 97 0.97 k0.1 4 106 101 0.97 k0.1 4 110 105 0.97 k0.1 4 114 109 0.98 k0.1 4 118 113 0.99 k0.1 4 122 117 0.98 k0.1 4 126 121 0.96 k0.1 4 130 125 0.94 k0.1 4 134 129 0.91 k0.1 4 138 133 0.91 k0.1 4 142 137 0.95 k0.1 4 146 141 0.92 k0.1 4 150 145 0.92 k0.1 4 154 149 0.93 k0.1 4 158 153 0.93 k0.1 4 162 157 0.9 k0.1 4 166 161 0.9 k0.1 4 170 165 0.95 k0.1 4 174 169 0.99 k0.1 4 178 173 0.9 k0.1 4 182 177 0.98 k0.1 4 186 181 0.96 k0.1 4 190 185 0.98 k0.1 4 194 189 0.93 k0.1 4 198 193 0.98 k0.1 4 202 197 0.96 k0.1 4 206 201 0.93 k0.1 4 210 205 0.95 k0.1 4 214 209 0.86 k0.1 4 218 213 0.87 k0.1 4 222 217 0.82 k0.1 4 226 221 0.82 k0.1 4 230 225 0.93 k0.1 4 234 229 0.91 k0.1 4 238 233 0.87 k0.1 4 242 237 0.83 k0.1 4 246 241 0.85 k0.1 4 250 245 0.8 k0.1 4 254 249 0.88 k0.1 4 258 253 0.89 k0.1 4 262 257 0.87 k0.1 4 266 261 0.85 k0.1 4 270 265 0.88 k0.1 4 274 269 0.84 k0.1 4 278 273 0.85 k0.1 4 282 277 0.8 k0.1 4 286 281 0.89 k0.1 4 290 285 0.84 k0.1 4 294 289 0.85 k0.1 4 298 293 0.89 k0.1 4 302 297 0.87 k0.1 4 306 301 0.88 k0.1 4 310 305 0.94 k0.1 4 314 309 0.92 k0.1 4 318 313 0.85 k0.1 4 322 317 0.85 k0.1 4 326 321 0.8 k0.1 4 330 325 0.89 k0.1 4 334 329 0.86 k0.1 4 338 333 0.96 k0.1 4 342 337 0.87 k0.1 4 346 341 0.86 k0.1 4 350 345 0.9 k0.1 4 354 349 0.91 k0.1 4 358 353 0.92 k0.1 4 362 357 0.88 k0.1 4 366 361 0.9 k0.1 4 370 365 0.86 k0.1 4 374 369 0.84 k0.1 4 378 373 0.81 k0.1 4 382 377 0.83 k0.1 4 386 381 0.68 k0.1 4 390 385 0.63 k0.1 4 394 389 0.6 k0.1 4 398 393 0.66 k0.1 4 402 397 0.76 k0.1 4 406 401 0.68 k0.1 4 410 405 0.66 k0.1 4 414 409 0.79 k0.1 4 418 413 0.78 k0.1 4 422 417 0.8 k0.1 4 426 421 0.82 k0.1 4 430 425 0.82 k0.1 4 434 429 0.73 k0.1 4 438 433 0.86 k0.1 4 442 437 0.77 k0.1 4 446 441 0.79 k0.1 4 450 445 0.71 k0.1 4 454 449 0.67 k0.1 4 458 453 0.75 k0.1 4 462 457 0.87 k0.1 4 466 461 0.79 k0.1 4 470 465 0.75 k0.1 4 474 469 0.8 k0.1 4 478 473 0.83 k0.1 4 482 477 0.59 k0.1 4 486 481 0.63 k0.1 4 490 485 0.78 k0.1 4 494 489 0.83 k0.1 4 498 493 0.77 k0.1 4 502 497 0.81 k0.1 4 506 501 0.71 k0.1 4 510 505 0.83 k0.1 4 514 509 0.87 k0.1 4 518 513 0.74 k0.1 4 522 517 0.75 k0.1 4 526 521 0.79 k0.1 4 530 525 0.76 k0.1 4 534 529 0.75 k0.1 4 538 533 0.74 k0.1 4 542 537 0.77 k0.1 4 546 541 0.76 k0.1 4 550 545 0.72 k0.1 4 554 549 0.85 k0.1 4 558 553 0.74 k0.1 4 562 557 0.73 k0.1 4 566 561 0.73 k0.1 4 570 565 0.71 k0.1 4 574 569 0.65 k0.1 4 578 573 0.77 k0.1 4 582 577 0.81 k0.1 4 586 581 0.77 k0.1 4 590 585 0.69 k0.1 4 594 589 0.76 k0.1 4 598 593 0.78 k0.1 4 602 597 0.87 k0.1 4 606 601 0.76 k0.1 4 610 605 0.75 k0.1 4 614 609 0.88 k0.1 4 618 613 0.75 k0.1 4 622 617 0.75 k0.1 4 626 621 0.67 k0.1 4 630 625 0.72 k0.1 4 634 629 0.72 k0.1 4 638 633 0.73 k0.1 4 642 637 0.66 k0.1 4 646 641 0.73 k0.1 4 650 645 0.78 k0.1 4 654 649 0.66 k0.1 4 658 653 0.81 k0.1 4 662 657 0.76 k0.1 4 666 661 0.84 k0.1 4 670 665 0.85 k0.1 4 674 669 0.84 k0.1 4 678 673 0.78 k0.1 4 682 677 0.68 k0.1 4 686 681 0.78 k0.1 4 690 685 0.72 k0.1 4 694 689 0.85 k0.1 4 698 693 0.83 k0.1 4 702 697 0.73 k0.1 4 706 701 0.74 k0.1 4 710 705 0.73 k0.1 4 714 709 0.84 k0.1 4 718 713 0.73 k0.1 4 722 717 0.76 k0.1 4 726 721 0.75 k0.1 4 730 725 0.79 k0.1 4 734 729 0.72 k0.1 4 738 733 0.71 k0.1 4 742 737 0.75 k0.1 4 746 741 0.66 k0.1 4 750 745 0.7 k0.1 4 754 749 0.74 k0.1 4 758 753 0.82 k0.1 4 762 757 0.73 k0.1 4 766 761 0.69 k0.1 4 770 765 0.72 k0.1 4 774 769 0.66 k0.1 4 778 773 0.7 k0.1 4 782 777 0.66 k0.1 4 786 781 0.66 k0.1 4 790 785 0.7 k0.1 4 794 789 0.77 k0.1 4 798 793 0.76 k0.1 4 802 797 0.72 k0.1 4 806 801 0.71 k0.1 4 810 805 0.68 k0.1 4 814 809 0.77 k0.1 4 818 813 0.71 k0.1 4 822 817 0.75 k0.1 4 826 821 0.82 k0.1 4 830 825 0.86 k0.1 4 834 829 0.76 k0.1 4 838 833 0.79 k0.1 4 842 837 0.73 k0.1 4 846 841 0.66 k0.1 4 850 845 0.62 k0.1 4 854 849 0.7 k0.1 4 858 853 0.53 k0.1 4 862 857 0.7 k0.1 4 866 861 0.66 k0.1 4 870 865 0.68 k0.1 4 874 869 0.79 k0.1 4 878 873 0.63 k0.1 4 882 877 0.7 k0.1 4 886 881 0.73 k0.1 4 890 885 0.69 k0.1 4 894 889 0.73 k0.1 4 898 893 0.76 k0.1 4 902 897 0.67 k0.1 4 906 901 0.71 k0.1 4 910 905 0.64 k0.1 4 914 909 0.65 k0.1 4 918 913 0.58 k0.1 4 922 917 0.73 k0.1 4 941 921 0.75 k0.1 4 945 925 0.74 k0.1 4 949 929 0.73 k0.1 4 953 933 0.73 k0.1 4 957 937 0.77 k0.1 4 961 941 0.76 k0.1 4 965 945 0.77 k0.1 8 12 5 1 k0.1 8 16 9 1 k0.1 8 20 13 1 k0.1 8 24 17 1 k0.1 8 28 21 1 k0.1 8 32 25 1 k0.1 8 36 29 0.99 k0.1 8 40 33 1 k0.1 8 44 37 1 k0.1 8 48 41 0.96 k0.1 8 52 45 1 k0.1 8 56 49 1 k0.1 8 60 53 1 k0.1 8 66 57 0.98 k0.1 8 70 61 1 k0.1 8 74 65 1 k0.1 8 78 69 1 k0.1 8 82 73 1 k0.1 8 86 77 1 k0.1 8 90 81 1 k0.1 8 94 85 0.99 k0.1 8 98 89 0.99 k0.1 8 102 93 0.99 k0.1 8 106 97 0.98 k0.1 8 110 101 0.98 k0.1 8 114 105 0.99 k0.1 8 118 109 0.99 k0.1 8 122 113 0.99 k0.1 8 126 117 0.98 k0.1 8 130 121 0.98 k0.1 8 134 125 0.93 k0.1 8 138 129 0.91 k0.1 8 142 133 0.95 k0.1 8 146 137 0.95 k0.1 8 150 141 0.97 k0.1 8 154 145 0.93 k0.1 8 158 149 0.96 k0.1 8 162 153 0.92 k0.1 8 166 157 0.96 k0.1 8 170 161 0.98 k0.1 8 174 165 0.93 k0.1 8 178 169 0.95 k0.1 8 182 173 0.95 k0.1 8 186 177 0.96 k0.1 8 190 181 0.96 k0.1 8 194 185 0.94 k0.1 8 198 189 0.98 k0.1 8 202 193 0.96 k0.1 8 206 197 0.92 k0.1 8 210 201 0.96 k0.1 8 214 205 0.89 k0.1 8 218 209 0.96 k0.1 8 222 213 0.89 k0.1 8 226 217 0.88 k0.1 8 230 221 0.88 k0.1 8 234 225 0.86 k0.1 8 238 229 0.91 k0.1 8 242 233 0.89 k0.1 8 246 237 0.89 k0.1 8 250 241 0.77 k0.1 8 254 245 0.92 k0.1 8 258 249 0.91 k0.1 8 262 253 0.89 k0.1 8 266 257 0.89 k0.1 8 270 261 0.93 k0.1 8 274 265 0.91 k0.1 8 278 269 0.86 k0.1 8 282 273 0.89 k0.1 8 286 277 0.91 k0.1 8 290 281 0.91 k0.1 8 294 285 0.93 k0.1 8 298 289 0.93 k0.1 8 302 293 0.93 k0.1 8 306 297 0.95 k0.1 8 310 301 0.92 k0.1 8 314 305 0.91 k0.1 8 318 309 0.83 k0.1 8 322 313 0.89 k0.1 8 326 317 0.79 k0.1 8 330 321 0.81 k0.1 8 334 325 0.88 k0.1 8 338 329 0.94 k0.1 8 342 333 0.9 k0.1 8 346 337 0.91 k0.1 8 350 341 0.93 k0.1 8 354 345 0.92 k0.1 8 358 349 0.94 k0.1 8 362 353 0.89 k0.1 8 366 357 0.89 k0.1 8 370 361 0.89 k0.1 8 374 365 0.86 k0.1 8 378 369 0.94 k0.1 8 382 373 0.82 k0.1 8 386 377 0.74 k0.1 8 390 381 0.66 k0.1 8 394 385 0.54 k0.1 8 398 389 0.67 k0.1 8 402 393 0.64 k0.1 8 406 397 0.71 k0.1 8 410 401 0.75 k0.1 8 414 405 0.77 k0.1 8 418 409 0.78 k0.1 8 422 413 0.81 k0.1 8 426 417 0.81 k0.1 8 430 421 0.82 k0.1 8 434 425 0.77 k0.1 8 438 429 0.78 k0.1 8 442 433 0.83 k0.1 8 446 437 0.82 k0.1 8 450 441 0.79 k0.1 8 454 445 0.65 k0.1 8 458 449 0.84 k0.1 8 462 453 0.8 k0.1 8 466 457 0.82 k0.1 8 470 461 0.88 k0.1 8 474 465 0.81 k0.1 8 478 469 0.76 k0.1 8 482 473 0.72 k0.1 8 486 477 0.72 k0.1 8 490 481 0.8 k0.1 8 494 485 0.82 k0.1 8 498 489 0.86 k0.1 8 502 493 0.85 k0.1 8 506 497 0.83 k0.1 8 510 501 0.79 k0.1 8 514 505 0.83 k0.1 8 518 509 0.67 k0.1 8 522 513 0.82 k0.1 8 526 517 0.74 k0.1 8 530 521 0.78 k0.1 8 534 525 0.8 k0.1 8 538 529 0.83 k0.1 8 542 533 0.85 k0.1 8 546 537 0.79 k0.1 8 550 541 0.81 k0.1 8 554 545 0.79 k0.1 8 558 549 0.8 k0.1 8 562 553 0.75 k0.1 8 566 557 0.72 k0.1 8 570 561 0.71 k0.1 8 574 565 0.62 k0.1 8 578 569 0.82 k0.1 8 582 573 0.82 k0.1 8 586 577 0.77 k0.1 8 590 581 0.82 k0.1 8 594 585 0.77 k0.1 8 598 589 0.82 k0.1 8 602 593 0.81 k0.1 8 606 597 0.76 k0.1 8 610 601 0.85 k0.1 8 614 605 0.85 k0.1 8 618 609 0.75 k0.1 8 622 613 0.8 k0.1 8 626 617 0.72 k0.1 8 630 621 0.75 k0.1 8 634 625 0.84 k0.1 8 638 629 0.66 k0.1 8 642 633 0.77 k0.1 8 646 637 0.79 k0.1 8 650 641 0.78 k0.1 8 654 645 0.74 k0.1 8 658 649 0.71 k0.1 8 662 653 0.72 k0.1 8 666 657 0.78 k0.1 8 670 661 0.75 k0.1 8 674 665 0.75 k0.1 8 678 669 0.71 k0.1 8 682 673 0.75 k0.1 8 686 677 0.73 k0.1 8 690 681 0.76 k0.1 8 694 685 0.77 k0.1 8 698 689 0.74 k0.1 8 702 693 0.76 k0.1 8 706 697 0.73 k0.1 8 710 701 0.8 k0.1 8 714 705 0.79 k0.1 8 718 709 0.82 k0.1 8 722 713 0.78 k0.1 8 726 717 0.77 k0.1 8 730 721 0.73 k0.1 8 734 725 0.81 k0.1 8 738 729 0.72 k0.1 8 742 733 0.74 k0.1 8 746 737 0.57 k0.1 8 750 741 0.79 k0.1 8 754 745 0.76 k0.1 8 758 749 0.78 k0.1 8 762 753 0.78 k0.1 8 766 757 0.75 k0.1 8 770 761 0.77 k0.1 8 774 765 0.72 k0.1 8 778 769 0.71 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