Cycle types and frequency in Enriched Schubert problems in G(4,9)
| These have the same Galois group |
|---|
| Schubert Problem | (10) | (8,2) | (6,4) | (6,2,2) | (5,5) | (5,4,1) | (5,3,2) | (5,3,1,1) | (5,2,2,1) | (5,2,1,1,1) | (5,1,1,1,1,1) | (4,4,2) | (4,4,1,1) | (4,3,2,1) | (4,3,1,1,1) | (4,2,2,2) | (4,2,2,1,1) | (4,2,1,1,1,1) | (4,1,1,1,1,1,1) | (3,3,2,2) | (3,3,2,1,1) | (3,3,1,1,1,1) | (3,2,2,2,1) | (3,2,2,1,1,1) | (3,2,1,1,1,1,1) | (3,1,1,1,1,1,1,1) | (2,2,2,2,2) | (2,2,2,2,1,1) | (2,2,2,1,1,1,1) | (2,2,1,1,1,1,1,1) | (2,1,1,1,1,1,1,1,1) | (1,1,1,1,1,1,1,1,1,1) |
   | 5103 | 6058 | 4135 | 4139 | 908 | 2539 | 1599 | 1673 | 1207 | 831 | 78 | 3035 | 1528 | 2067 | 2072 | 2116 | 1536 | 1030 | 97 | 668 | 1384 | 677 | 1065 | 1747 | 709 | 60 | 214 | 391 | 541 | 233 | 27 | 7 |
 | 4976 | 6209 | 4226 | 4061 | 1018 | 2383 | 1636 | 1641 | 1321 | 798 | 85 | 3150 | 1542 | 2007 | 2040 | 2068 | 1521 | 1053 | 103 | 678 | 1388 | 680 | 1017 | 1735 | 752 | 74 | 206 | 371 | 550 | 192 | 28 | 1 |
 | 4887 | 6269 | 4163 | 4063 | 971 | 2488 | 1634 | 1673 | 1286 | 875 | 67 | 3123 | 1567 | 2051 | 2116 | 1980 | 1551 | 1020 | 115 | 654 | 1400 | 665 | 1026 | 1708 | 804 | 59 | 208 | 350 | 538 | 218 | 33 | 3 |
| | 5004 | 6135 | 4231 | 4184 | 951 | 2373 | 1620 | 1655 | 1252 | 809 | 91 | 3055 | 1552 | 2042 | 2081 | 2046 | 1570 | 1098 | 103 | 713 | 1345 | 663 | 1018 | 1739 | 757 | 61 | 221 | 362 | 502 | 223 | 40 | 1 |
| | 5073 | 6114 | 4102 | 4203 | 960 | 2428 | 1636 | 1698 | 1283 | 796 | 84 | 3028 | 1533 | 2027 | 2095 | 2049 | 1612 | 1037 | 113 | 707 | 1390 | 727 | 1004 | 1711 | 715 | 67 | 208 | 400 | 484 | 223 | 45 | 0 |
| | 5066 | 6080 | 4186 | 4149 | 987 | 2496 | 1577 | 1606 | 1232 | 818 | 80 | 3174 | 1571 | 2062 | 2071 | 2137 | 1535 | 992 | 98 | 636 | 1334 | 678 | 1062 | 1763 | 742 | 73 | 221 | 345 | 530 | 213 | 30 | 2 |
| | 4913 | 6278 | 4133 | 4242 | 1014 | 2466 | 1624 | 1598 | 1236 | 790 | 91 | 3088 | 1511 | 2061 | 2093 | 2053 | 1511 | 1036 | 110 | 707 | 1304 | 733 | 1019 | 1797 | 763 | 72 | 207 | 362 | 521 | 223 | 32 | 0 |
| | 4936 | 6333 | 4178 | 4114 | 993 | 2478 | 1647 | 1683 | 1241 | 816 | 71 | 3121 | 1556 | 2083 | 2022 | 1990 | 1467 | 1008 | 108 | 701 | 1374 | 693 | 1044 | 1684 | 771 | 55 | 201 | 391 | 512 | 220 | 46 | 1 |
| | 5086 | 6158 | 4126 | 4160 | 983 | 2440 | 1672 | 1684 | 1300 | 827 | 90 | 3057 | 1553 | 1980 | 2082 | 2044 | 1525 | 1078 | 81 | 649 | 1325 | 739 | 1017 | 1728 | 790 | 66 | 199 | 419 | 488 | 206 | 35 | 2 |
| These have the same Galois group |
|---|
| Schubert Problem | (4) | (2,2) | (2,1,1) | (1,1,1,1) |
   | 12645 | 18520 | 12292 | 6149 |
 | 12464 | 18623 | 12399 | 6080 |
 | 12491 | 18442 | 12357 | 6267 |
  | 12549 | 18499 | 12222 | 6279 |
 | 12453 | 18635 | 12284 | 6144 |
  | 12455 | 18577 | 12465 | 6067 |
 | 12480 | 18649 | 12223 | 6206 |
 | 12516 | 18450 | 12409 | 6195 |
 | 12531 | 18623 | 12324 | 6055 |
 | 12580 | 18408 | 12347 | 6132 |
 | 12544 | 18589 | 12220 | 6157 |
 | 12294 | 18641 | 12216 | 6343 |
| | 12448 | 18464 | 12419 | 6173 |
 | 12377 | 18634 | 12328 | 6280 |
| | 12408 | 18734 | 12261 | 6150 |
| | 12503 | 18562 | 12329 | 6177 |
| | 12309 | 18648 | 12503 | 6097 |
| | 12263 | 18639 | 12406 | 6238 |
 | 12438 | 18580 | 12374 | 6175 |
| | 12559 | 18666 | 12149 | 6174 |
| | 12551 | 18437 | 12440 | 6120 |
| | 12397 | 18564 | 12434 | 6167 |
| | 12452 | 18385 | 12467 | 6203 |
| | 12688 | 18542 | 12240 | 6047 |
| | 12330 | 18646 | 12316 | 6216 |
 | 12405 | 18663 | 12391 | 6129 |
| | 12629 | 18638 | 12084 | 6232 |
 | 12572 | 18495 | 12235 | 6238 |
| | 12549 | 18597 | 12186 | 6191 |
| | 12409 | 18651 | 12295 | 6167 |
| | 12473 | 18555 | 12182 | 6344 |
| | 12403 | 18556 | 12254 | 6338 |
 | 12422 | 18697 | 12256 | 6161 |
| | 12634 | 18494 | 12315 | 6154 |
 | 12490 | 18460 | 12409 | 6137 |
 | 12601 | 18597 | 12266 | 6063 |
| | 12486 | 18652 | 12126 | 6246 |
| | 12427 | 18734 | 12355 | 6027 |
| | 12255 | 18731 | 12373 | 6225 |
| | 12204 | 18712 | 12396 | 6213 |
| | 12317 | 18417 | 12604 | 6181 |
 | 12348 | 18724 | 12333 | 6095 |
 | 12377 | 18560 | 12429 | 6143 |
| | 12628 | 18505 | 12173 | 6245 |
| | 12563 | 18661 | 12196 | 6109 |
| | 12496 | 18561 | 12390 | 6089 |
| | 12276 | 18475 | 12524 | 6237 |
| | 12579 | 18538 | 12307 | 6131 |
| | 12473 | 18592 | 12283 | 6215 |
| | 12579 | 18661 | 12241 | 6110 |
| | 12420 | 18504 | 12546 | 6141 |
| | 12563 | 18476 | 12376 | 6151 |
| | 12245 | 18523 | 12574 | 6167 |
| | 12571 | 18463 | 12386 | 6134 |
| | 12427 | 18378 | 12605 | 6159 |
| | 12246 | 18738 | 12322 | 6266 |
| | 12434 | 18514 | 12285 | 6265 |
| | 12506 | 18528 | 12472 | 6084 |
| | 12447 | 18595 | 12486 | 6084 |
| | 12271 | 18588 | 12475 | 6150 |
| | 12395 | 18731 | 12248 | 6174 |
| | 12278 | 18465 | 12530 | 6213 |
| | 12458 | 18587 | 12374 | 6167 |
| | 12445 | 18473 | 12556 | 6057 |
| | 12371 | 18523 | 12410 | 6223 |
| | 12500 | 18580 | 12334 | 6128 |
| | 12476 | 18505 | 12467 | 6133 |
| | 12504 | 18462 | 12312 | 6267 |
| | 12462 | 18614 | 12298 | 6117 |
| | 12543 | 18526 | 12255 | 6228 |
| | 12301 | 18636 | 12494 | 6075 |
| | 12493 | 18603 | 12328 | 6108 |
| | 12514 | 18454 | 12496 | 6104 |
| | 12440 | 18547 | 12285 | 6277 |
| | 12356 | 18652 | 12401 | 6210 |
| | 12638 | 18458 | 12258 | 6263 |
| | 12482 | 18385 | 12354 | 6303 |
| | 12459 | 18479 | 12522 | 6087 |
| | 12370 | 18629 | 12295 | 6255 |
| | 12308 | 18539 | 12501 | 6261 |
| | 12239 | 18704 | 12431 | 6165 |
| | 12506 | 18417 | 12480 | 6132 |
| | 12516 | 18485 | 12404 | 6161 |
| | 12526 | 18458 | 12327 | 6174 |
| | 12474 | 18755 | 12301 | 6078 |
| | 12397 | 18532 | 12545 | 6071 |
| | 12654 | 18515 | 12276 | 6134 |
| | 12329 | 18531 | 12402 | 6318 |
| | 12491 | 18392 | 12436 | 6228 |
| | 12482 | 18674 | 12142 | 6230 |
| | 12518 | 18439 | 12446 | 6130 |
| | 12385 | 18567 | 12368 | 6289 |
| | 12554 | 18613 | 12227 | 6214 |
| | 12495 | 18345 | 12368 | 6333 |
| | 12500 | 18557 | 12353 | 6148 |
| | 12307 | 18719 | 12303 | 6219 |
| | 12540 | 18368 | 12439 | 6176 |
| | 12392 | 18568 | 12381 | 6175 |
| | 12639 | 18419 | 12399 | 6136 |
| These have the same Galois group |
|---|
| Schubert Problem | (4,2) | (3,3) | (2,2,1,1) | (1,1,1,1,1,1) |
| | 12486 | 16539 | 18426 | 2109 |
| These have the same Galois group |
|---|
| Schubert Problem | (6) | (4,2) | (3,3) | (3,2,1) | (3,1,1,1) | (2,2,2) | (2,2,1,1) | (2,1,1,1,1) | (1,1,1,1,1,1) |
| | 8356 | 12384 | 2802 | 8299 | 2814 | 4074 | 6050 | 3994 | 692 |
| | 8294 | 12324 | 2747 | 8240 | 2797 | 4165 | 6222 | 4061 | 665 |
| | 8286 | 12526 | 2659 | 8105 | 2627 | 4270 | 6251 | 4095 | 666 |
| | 8122 | 12511 | 2638 | 8291 | 2683 | 4211 | 6210 | 4167 | 686 |
| | 8274 | 12438 | 2720 | 8196 | 2708 | 4137 | 6306 | 4015 | 677 |
| | 8341 | 12545 | 2740 | 8130 | 2673 | 4116 | 6120 | 4163 | 674 |
| | 8316 | 12325 | 2654 | 8159 | 2794 | 4182 | 6255 | 4125 | 681 |
| | 8236 | 12482 | 2815 | 8249 | 2746 | 4138 | 6202 | 4045 | 629 |
| | 8453 | 12221 | 2727 | 8258 | 2704 | 4196 | 6206 | 4089 | 689 |
| | 8028 | 12345 | 2762 | 8194 | 2746 | 4227 | 6314 | 4276 | 673 |
| | 8301 | 12519 | 2708 | 8118 | 2768 | 4107 | 6168 | 4109 | 683 |
| | 8207 | 12497 | 2740 | 8167 | 2779 | 4112 | 6148 | 4199 | 711 |
| | 8309 | 12266 | 2735 | 8242 | 2766 | 4172 | 6273 | 4080 | 676 |
| | 8332 | 12512 | 2685 | 8133 | 2779 | 4107 | 6239 | 4158 | 652 |
| | 8219 | 12346 | 2736 | 8189 | 2780 | 4184 | 6257 | 4154 | 685 |
| | 8306 | 12550 | 2638 | 8324 | 2704 | 4157 | 6096 | 4097 | 695 |
| | 8450 | 12251 | 2824 | 8306 | 2640 | 4190 | 6106 | 4156 | 665 |
| | 8409 | 12403 | 2682 | 8130 | 2785 | 4108 | 6182 | 4091 | 712 |
| | 8224 | 12412 | 2787 | 8231 | 2719 | 4166 | 6153 | 4237 | 633 |
| | 8367 | 12332 | 2783 | 8283 | 2749 | 4225 | 6066 | 4135 | 645 |
| | 8358 | 12458 | 2732 | 8171 | 2761 | 4140 | 6156 | 4066 | 724 |
| | 8309 | 12425 | 2782 | 8290 | 2809 | 4076 | 6222 | 4005 | 696 |
| | 8286 | 12437 | 2697 | 8316 | 2727 | 4186 | 6152 | 4077 | 685 |
| | 8321 | 12482 | 2678 | 8115 | 2751 | 4178 | 6084 | 4267 | 675 |
| | 8275 | 12451 | 2703 | 8194 | 2667 | 4105 | 6299 | 4172 | 691 |
| These have the same Galois group |
|---|
| Schubert Problem | (6) | (4,2) | (4,1,1) | (3,3) | (2,2,2) | (2,2,1,1) | (2,1,1,1,1) | (1,1,1,1,1,1) |
 | 8245 | 6251 | 6309 | 8215 | 7184 | 9215 | 3162 | 965 |
| | 8200 | 6219 | 6186 | 8445 | 7101 | 9317 | 3059 | 980 |
 | 8329 | 6246 | 6075 | 8370 | 7217 | 9116 | 3089 | 1048 |
| | 8259 | 6196 | 6185 | 8207 | 7153 | 9290 | 3220 | 995 |
| | 8192 | 6236 | 6188 | 8208 | 7167 | 9271 | 3163 | 1062 |
| | 8111 | 6140 | 6173 | 8539 | 7190 | 9328 | 3020 | 1066 |
| | 8309 | 6304 | 6033 | 8385 | 7366 | 9201 | 2929 | 1008 |
| | 8268 | 6133 | 6295 | 8286 | 7149 | 9151 | 3149 | 1021 |
| | 8380 | 6158 | 6113 | 8340 | 7291 | 9164 | 3068 | 1028 |
| | 8306 | 6217 | 6129 | 8357 | 7285 | 9208 | 2954 | 1049 |
| | 8256 | 6168 | 6204 | 8082 | 7264 | 9407 | 3071 | 1049 |
| | 8300 | 6323 | 6180 | 8212 | 7259 | 9258 | 3074 | 997 |
| | 8219 | 6241 | 6183 | 8331 | 7201 | 9327 | 3071 | 953 |
| | 8467 | 6076 | 6177 | 8296 | 7194 | 9273 | 3058 | 1041 |
| | 8358 | 6104 | 6175 | 8303 | 7109 | 9396 | 3031 | 1019 |
| | 8240 | 6070 | 6176 | 8372 | 7275 | 9322 | 3057 | 1005 |
| | 8319 | 6225 | 6163 | 8084 | 7309 | 9345 | 3067 | 1050 |
| | 8240 | 6238 | 6265 | 8346 | 7181 | 9167 | 3089 | 995 |
| | 8256 | 6269 | 6266 | 8283 | 7116 | 9150 | 3129 | 1052 |
| | 8266 | 6124 | 6242 | 8202 | 7257 | 9303 | 3105 | 1033 |