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Small Four-Digit Prime Period Guns

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Small Four-Digit Prime Period Guns

Posted: March 25th, 2019, 7:29 pm
by googoIpIex
EDIT by dvgrn: Split topic off from the thread for chris_c's gun collection, since posting even 5% of the higher-period guns from this list would totally swamp that thread with guns that chris_c is not interested in collecting]

For reference, here's all four digit prime numbers:
1009
1013
1019
1021
1031
1033
1039
1049
1051 ✓
1061
1063
1069
1087
1091
1093
1097
1103
1109
1117 1123 1129 1151
1153 1163 1171 1181 1187 1193 1201 1213 1217 1223
1229 1231 1237 1249 1259 1277 1279 1283 1289 1291
1297 1301 1303 1307 1319 1321 1327 1361 1367 1373
1381 1399 1409 1423 1427 1429 1433 1439 1447 1451
1453 1459 1471 1481 1483 1487 1489 1493 1499 1511
1523 1531 1543 1549 1553 1559 1567 1571 1579 1583
1597 1601 1607 1609 1613 1619 1621 1627 1637 1657
1663 1667 1669 1693 1697 1699 1709 1721 1723 1733
1741 1747 1753 1759 1777 1783 1787 1789 1801 1811
1823 1831 1847 1861 1867 1871 1873 1877 1879 1889
1901 1907 1913 1931 1933 1949 1951 1973 1979 1987
1993 1997 1999 2003 2011 2017 2027 2029 2039 2053
2063 2069 2081 2083 2087 2089 2099 2111 2113 2129
2131 2137 2141 2143 2153 2161 2179 2203 2207 2213
2221 2237 2239 2243 2251 2267 2269 2273 2281 2287
2293 2297 2309 2311 2333 2339 2341 2347 2351 2357
2371 2377 2381 2383 2389 2393 2399 2411 2417 2423
2437 2441 2447 2459 2467 2473 2477 2503 2521 2531
2539 2543 2549 2551 2557 2579 2591 2593 2609 2617
2621 2633 2647 2657 2659 2663 2671 2677 2683 2687
2689 2693 2699 2707 2711 2713 2719 2729 2731 2741
2749 2753 2767 2777 2789 2791 2797 2801 2803 2819
2833 2837 2843 2851 2857 2861 2879 2887 2897 2903
2909 2917 2927 2939 2953 2957 2963 2969 2971 2999
3001 3011 3019 3023 3037 3041 3049 3061 3067 3079
3083 3089 3109 3119 3121 3137 3163 3167 3169 3181
3187 3191 3203 3209 3217 3221 3229 3251 3253 3257
3259 3271 3299 3301 3307 3313 3319 3323 3329 3331
3343 3347 3359 3361 3371 3373 3389 3391 3407 3413
3433 3449 3457 3461 3463 3467 3469 3491 3499 3511
3517 3527 3529 3533 3539 3541 3547 3557 3559 3571
3581 3583 3593 3607 3613 3617 3623 3631 3637 3643
3659 3671 3673 3677 3691 3697 3701 3709 3719 3727
3733 3739 3761 3767 3769 3779 3793 3797 3803 3821
3823 3833 3847 3851 3853 3863 3877 3881 3889 3907
3911 3917 3919 3923 3929 3931 3943 3947 3967 3989
4001 4003 4007 4013 4019 4021 4027 4049 4051 4057
4073 4079 4091 4093 4099 4111 4127 4129 4133 4139
4153 4157 4159 4177 4201 4211 4217 4219 4229 4231
4241 4243 4253 4259 4261 4271 4273 4283 4289 4297
4327 4337 4339 4349 4357 4363 4373 4391 4397 4409
4421 4423 4441 4447 4451 4457 4463 4481 4483 4493
4507 4513 4517 4519 4523 4547 4549 4561 4567 4583
4591 4597 4603 4621 4637 4639 4643 4649 4651 4657
4663 4673 4679 4691 4703 4721 4723 4729 4733 4751
4759 4783 4787 4789 4793 4799 4801 4813 4817 4831
4861 4871 4877 4889 4903 4909 4919 4931 4933 4937
4943 4951 4957 4967 4969 4973 4987 4993 4999 5003
5009 5011 5021 5023 5039 5051 5059 5077 5081 5087
5099 5101 5107 5113 5119 5147 5153 5167 5171 5179
5189 5197 5209 5227 5231 5233 5237 5261 5273 5279
5281 5297 5303 5309 5323 5333 5347 5351 5381 5387
5393 5399 5407 5413 5417 5419 5431 5437 5441 5443
5449 5471 5477 5479 5483 5501 5503 5507 5519 5521
5527 5531 5557 5563 5569 5573 5581 5591 5623 5639
5641 5647 5651 5653 5657 5659 5669 5683 5689 5693
5701 5711 5717 5737 5741 5743 5749 5779 5783 5791
5801 5807 5813 5821 5827 5839 5843 5849 5851 5857
5861 5867 5869 5879 5881 5897 5903 5923 5927 5939
5953 5981 5987 6007 6011 6029 6037 6043 6047 6053
6067 6073 6079 6089 6091 6101 6113 6121 6131 6133
6143 6151 6163 6173 6197 6199 6203 6211 6217 6221
6229 6247 6257 6263 6269 6271 6277 6287 6299 6301
6311 6317 6323 6329 6337 6343 6353 6359 6361 6367
6373 6379 6389 6397 6421 6427 6449 6451 6469 6473
6481 6491 6521 6529 6547 6551 6553 6563 6569 6571
6577 6581 6599 6607 6619 6637 6653 6659 6661 6673
6679 6689 6691 6701 6703 6709 6719 6733 6737 6761
6763 6779 6781 6791 6793 6803 6823 6827 6829 6833
6841 6857 6863 6869 6871 6883 6899 6907 6911 6917
6947 6949 6959 6961 6967 6971 6977 6983 6991 6997
7001 7013 7019 7027 7039 7043 7057 7069 7079 7103
7109 7121 7127 7129 7151 7159 7177 7187 7193 7207
7211 7213 7219 7229 7237 7243 7247 7253 7283 7297
7307 7309 7321 7331 7333 7349 7351 7369 7393 7411
7417 7433 7451 7457 7459 7477 7481 7487 7489 7499
7507 7517 7523 7529 7537 7541 7547 7549 7559 7561
7573 7577 7583 7589 7591 7603 7607 7621 7639 7643
7649 7669 7673 7681 7687 7691 7699 7703 7717 7723
7727 7741 7753 7757 7759 7789 7793 7817 7823 7829
7841 7853 7867 7873 7877 7879 7883 7901 7907 7919
7927 7933 7937 7949 7951 7963 7993 8009 8011 8017
8039 8053 8059 8069 8081 8087 8089 8093 8101 8111
8117 8123 8147 8161 8167 8171 8179 8191 8209 8219
8221 8231 8233 8237 8243 8263 8269 8273 8287 8291
8293 8297 8311 8317 8329 8353 8363 8369 8377 8387
8389 8419 8423 8429 8431 8443 8447 8461 8467 8501
8513 8521 8527 8537 8539 8543 8563 8573 8581 8597
8599 8609 8623 8627 8629 8641 8647 8663 8669 8677
8681 8689 8693 8699 8707 8713 8719 8731 8737 8741
8747 8753 8761 8779 8783 8803 8807 8819 8821 8831
8837 8839 8849 8861 8863 8867 8887 8893 8923 8929
8933 8941 8951 8963 8969 8971 8999 9001 9007 9011
9013 9029 9041 9043 9049 9059 9067 9091 9103 9109
9127 9133 9137 9151 9157 9161 9173 9181 9187 9199
9203 9209 9221 9227 9239 9241 9257 9277 9281 9283
9293 9311 9319 9323 9337 9341 9343 9349 9371 9377
9391 9397 9403 9413 9419 9421 9431 9433 9437 9439
9461 9463 9467 9473 9479 9491 9497 9511 9521 9533
9539 9547 9551 9587 9601 9613 9619 9623 9629 9631
9643 9649 9661 9677 9679 9689 9697 9719 9721 9733
9739 9743 9749 9767 9769 9781 9787 9791 9803 9811
9817 9829 9833 9839 9851 9857 9859 9871 9883 9887
9901 9907 9923 9929 9931 9941 9949 9967 9973

Re: Execution of Old Guns by Variable-Speed Firing Squad

Posted: March 25th, 2019, 9:12 pm
by googoIpIex
period 1051:

Code: Select all

x = 127, y = 66, rule = LifeHistory
72.2A20.2A$71.A.A20.A.A$65.2A4.A24.A4.2A$63.A2.A2.2A.4A16.4A.2A2.A2.A
$63.2A.A.A.A.A2.A16.A2.A.A.A.A.2A$21.A11.A32.A.A.A.A22.A.A.A.A$21.3A
7.3A32.A.A.2A24.2A.A.A$24.A5.A36.A32.A$7.A15.2A5.2A$7.3A70.2A4.2A$10.
A60.2A7.A6.A7.2A10.A$9.2A60.2A5.A.A6.A.A5.2A10.3A$78.2A8.2A20.A$109.A
.A$10.2A97.A.A$10.2A98.A$34.2A$34.A.A$36.A$36.2A30.2A28.2A$69.A28.A
26.2A$66.3A30.3A23.2A$66.A34.A$3.2A$2.A2.A2.2A$3.2A2.A.A95.2A$5.2A16.
2A79.A.A$5.A17.A80.A$2.2A.A2.A15.3A76.2A7.2A$2.A.2A.A.A16.A85.2A$6.A.
A$3.2A2.A112.2A.A$.3A.2A113.2A.3A$A125.A$.3A.2A113.2A.3A$3.A.2A112.A
2.2A$118.A.A$13.2A85.A16.A.A.3A$13.2A7.2A76.3A15.A2.A2.A$22.A80.A17.A
.A.A$20.A.A79.2A16.2A2.A.A$20.2A95.A.A2.A.A.A$117.2A2.2A.2A$24.A34.A$
24.3A30.3A40.3A$2A25.A28.A43.A23.A$2A24.2A28.2A43.A20.3A$121.A$121.2A
$92.A$92.3A$16.A78.A$15.A.A76.A$15.A.A18.2A8.2A46.2A$16.A12.2A5.A.A6.
A.A5.2A37.2A2.A$17.3A9.2A7.A6.A7.2A36.A2.3A$19.A18.2A4.2A46.A23.A$93.
4A6.2A3.2A5.A.A8.A$25.A32.A36.A7.2A3.2A6.A7.A.A$24.A.A.2A24.2A.A.A37.
A27.2A$24.A.A.A.A22.A.A.A.A36.2A$21.2A.A.A.A.A2.A16.A2.A.A.A.A.2A$21.
A2.A2.2A.4A16.4A.2A2.A2.A$23.2A4.A24.A4.2A$29.A.A20.A.A$30.2A20.2A!
For periods 1000-1100, I believe that varied variable period guns should work.

Re: Execution of Old Guns by Variable-Speed Firing Squad

Posted: March 26th, 2019, 2:44 pm
by dvgrn
googoIpIex wrote:For periods 1000-1100, I believe that varied variable period guns should work.
They'll always work, in the sense that we could easily adjust guns from chris_c's variable guns collection to build examples of every prime period in the list. I think you're right that for periods near 1000, the multi-path option won't be competitive yet.

I estimated that they might become competitive around period 1500, but I don't really have any evidence for that. The threshold might be quite a bit higher, and they might only be competitive for really big period multipliers -- e.g., make an x16 multiplier with two quadri-Snarks, and then a 15-out-of-16 emitter by shooting down one out of 16 outputs (on the other path) with two more quadri-Snarks.

Here's a variable gun using the 2-out-of-3 mechanism that I posted on the other thread. It can no doubt be reduced, e.g. by replacing the SW-2 inserter in the upper right with an NW31 and finding a different Herschel connection between the syringe and the inserter so that the tremi-Snark/Snark trombone slide still works. Just need an odd step size between Herschel and inserter. That would allow the primary adjustment at the bottom to be moved much closer together, and probably also produce another glider output so that the CC semi-Snark at the bottom isn't necessary.

Code: Select all

#C p2791 multi-path gun
x = 149, y = 127, rule = LifeHistory
64.2A$64.A.A28.2A$66.A4.2A21.B2AB11.2A.A.2A$62.4A.2A2.A2.A20.3B4.A.2A
.A2.A.2A2.A$62.A2.A.A.A.A.2A19.B.B5.2A.A.2A.A4.A.A$64.BABABA.A22.5B8.
B2.5A.A14.A$65.B2ABA.A22.6B6.2ABA4.A14.3A$66.2B.BA23.8B4.2A.A.AB2.A
12.A$65.3B27.13B2.A.A2B.A11.2A$56.2A6.4B25.13B5.A2B.2A8.5B$57.A6.B2A
3B22.15B2.4B11.4B$57.A.AB3.B2A3B22.15B2.3B12.5B$58.2AB.10B19.17B.4B
10.6B.2B$60.13B18.29B3.8B2A$60.14B16.9B2D2B2A11BD4B2.6B.B2A$60.15B10.
2A2.9BDBD2B2A9B3D4B2.6B2.B$62.8B2.4B9.A2.2AB3.6BD13BDBD4B.7B$62.6B5.
4B9.2AB.A4.19BD15B$61.9B4.4B11.A5.6B3.B2.2B2.20B$60.4B4.2A5.4B7.3A5.
6B14.18B.B2.2A$59.4B5.A7.4B5.A7.9B14.15B.B2A2.A$58.4B7.3A5.4B4.2A5.4B
4.2A15.16BAB2A$57.4B10.A6.9B4.4B5.A15.16B.B$56.4B19.6B5.4B7.3A12.18B
3A$43.2A10.4B20.4BD3B2.4B10.A10.2AB.13B2.A2.A$44.A9.4B19.7BD7B21.A.AB
4.10B3.2A$42.A7.2B.4B5.2A13.5B3D6B22.A7.10B$42.2A6.7B5.A14.13B22.2A7.
12B$40.2A2.BAB.10B.BA.A12.2AB.10B32.13B$39.A2.4A12B.B2A12.A.AB3.B2A3B
35.13B$39.2A.A2.4B2A9B14.A6.B2A3B33.14B$40.A.A.2A3B2A4B3D2B13.2A6.4B
32.B.15B$40.A.A.2AB.7BD4B22.3B31.2A18B.2A$39.2A.AB.B3.7BD3B23.2B.BA
28.2A18BA.A$42.A8.B.8B21.B2ABA.A28.B.16B.BA$42.A.A8.9B19.BABABA.A31.
15B$43.2A9.3B2.4B16.A2.A.A.A.2A30.15B$52.5B3.4B10.2A3.4A.2A2.A34.12B$
52.2A7.4B9.A8.A4.A34.11B$53.A8.4B10.A2.2A2.A.3A34.11B$50.3A3.2A5.4B5.
5A2.2A3.2A34.2AB.11B$50.A6.A5.5B3.A47.A.AB.6B3.2A$57.A.AB.7B2.B3A44.A
4.6B3.A$58.2AB.7B3.2B.A27.2A13.2A4.6B4.3A$60.12B4A8.2A.A.2A11.B2AB17.
7B6.A$60.7B2A3BAB2.2A5.A2.2A.A2.A.2A.A4.3B18.6B7.A.2A$60.7B2A2B.B3A2.
A3.A.A4.A.2A.A.2A5.B.B18.6B4.3A.2A$60.10B3.B.A.2A4.A.5A2.B8.5B18.8B.A
$59.8B8.A9.A4.AB2A6.6B17.9BA.A$58.9B7.2A8.A2.BA.A.2A4.8B17.7B.2BAB$
57.4B2.3B17.A.2BA.A2.13B9.2A7.6B3.2B$56.4B3.5B15.2A.2BA5.13B8.A6.2B3D
2B2.2B$28.A26.4B7.2A3.2A14.3B3.15B7.A.AB3.4BD2B.B2AB$28.3A23.4B8.A3.A
.A15.2B3.15B8.2AB2.4B3DB2.2A$31.A21.4B10.4A16.4B.17B9.11B$2.A27.2A20.
4B9.A.A3.A8.29B9.11B$2.3A25.4B17.4B10.2A3.2A7.4BD11B2A2B2D9B8.11B$5.A
26.3B15.4B16.5B.B2.4B3D9B2A2BDBD9B6.11B$4.2A25.4B14.4B19.6B.4BDBD13BD
6B3.B2A6.7B.2B$4.5B12.2A8.5B12.4B4.B.7B7.13BD19B4.A2.A5.11B$6.4B11.A
8.6B11.4B.13B3.B.19B2.2B2.B3.6B5.2A.A5.10B$5.6B4.B2.BA.A8.8B2.26BD19B
14.6B7.A5.12B$4.7B3.3B.B2A8.14BD21BD18B14.9B6.2A5.13B$3.16B11.13B3D
18B2D17B15.2A4.4B9.17B$2.17B12.7B.4BDBD15B2A2B2D17B15.A5.4B7.18B$.6B
2C9B12.15BD15B2A3BD9B.7B12.3A7.4B5.2B2A13B.B2A$.6B2C10B11.19B2.2B3.
11B2.6B4.3B.B2A10.A10.4B5.B2A6B.4B3.BA.A$3.18B8.17B11.10B3.4B9.BA.A
21.4B3.8B4.B8.A$4.10B2D8B2.2B.15B16.6B5.5B10.A22.4B2.6B15.2A$5.9B2D4B
D22B19.3B9.2A10.2A22.4B.7B$4.4B2C8BDBD13B.8B21.B9.A36.4B.6B$5.3B2C2B
2.4B3D9B2A2B3.8B19.2A9.3A34.9B$5.7B2.4BD11B2A2B5.B3.2A20.A11.A35.8B$
5.7B3.18B10.A21.A.A46.8B$5.7B10.4B.3B.B12.3A19.2A47.7B$5.6B12.4B19.A
69.6B$4.7B13.4B88.2B3D2B$5.6B14.4B87.2BD4B$6.6B14.4B86.B3D4B.3B$6.6B
15.4B85.13B$5.8B15.4B84.8BA5B$6.6B17.4B83.7B2A6B$5.7B18.4B83.6BABA5B$
2.12B17.4B82.13B$.9B2A2B.B16.4B80.14B$.9B2A3B2A16.4B80.13B$.14B2A17.
4B81.3B2A7B$2.14B19.4B80.2BA2BAB2.4B$2.3B.2B2.B2.5B18.4B81.B2A5.4B$2.
2A5.3B4.2A19.4B69.A19.4B$3.A4.B2AB4.A21.4B47.2A19.3A12.B.3B.4B$3A6.2A
6.3A19.4B46.A.A21.A10.18B2.B$A18.A20.4B35.A11.A20.2A3.B5.2B2A11BD7B$
41.4B34.3A9.2A19.8B3.2B2A9B3D7B$42.4B36.A9.B21.8B.13BDBD9B$43.4B22.2A
10.2A9.3B19.22BD11B$44.4B22.A10.5B5.6B16.15B.2B2.14BAB$45.4B21.A.AB9.
4B3.10B11.17B8.10BABA$46.4B10.A10.2AB.3B4.6B2.11B3.2B2.19B11.8BABA$
47.4B7.3A12.7B.9BD3B2A15BD15B12.8BA$48.4B5.A15.17B2D2B2A15BDBD4B.7B
12.10B$49.4B4.2A15.17B2D18B3D13B11.9B$42.2A6.9B14.18BD21BD14B10.8B$
43.A7.6B14.19BD26B2.8B12.5BAB$43.A.2A5.6B3.B2.2B2.19B.B3.13B.4B11.6B
13.4BA$44.A2.A4.19BD13B7.7B.B4.4B12.5B15.2B$45.2AB3.6BD13BDBD4B.6B19.
4B14.4B$46.9BDBD2B2A9B3D4B2.B.5B16.4B15.3B$47.9B2D2B2A11BD4B7.2A5.2A
8.4B17.4B$48.29B8.A5.B2AB6.4B20.2A$48.17B.4B16.3A2.4B5.4B21.A$49.15B
3.2B19.A3.2B5.4B23.3A$49.15B3.3B14.A7.4B2.4B26.A$50.13B5.A2B.2A9.A.A
5.5B.4B$52.13B2.A.A2B.A10.A.14B$51.8B4.2A.A.AB2.A12.14B$51.6B6.2ABA4.
A13.14B$51.5B8.B2.5A.A11.8BD6B$51.B.B5.2A.A.2A.A4.A.A9.3B2A4BDBD5B$
52.3B4.A.2A.A2.A.2A2.A10.3B2A4B2D7B$51.B2AB11.2A.A.2A9.2AB.11B2.4B$
52.2A27.A.AB2.8B5.4B$81.A5.10B4.4B$80.2A5.4B4.2A5.4B$88.3B4.A7.3BC$
87.B2AB5.3A5.3BC$88.2A8.A6.3CB!
As it stands this is a p2791 gun, but really it's p2791+8N. Moving the upper trombone slide one cell diagonally increases the period by 8 ticks. Moving the halves of the lower loop apart by one cell diagonally increases the period by 16 ticks, so that's a more efficient way to increase the period.

I think the next prime period that this adjustable mechanism could produce is p2879 -- move the upper trombone slide out by 1 (+8 ticks), and widen the lower loop by 5 (+80 ticks). But again, this is just a proof of concept. I'm sure it's possible to do better.

Below is a p2701+8N variant of the same mechanism, as a first attempt at taking the suggestions above. Here it's adjusted to make prime period 2741, with p2749 just a minimal trombone-slide adjustment away:

Code: Select all

#C p2741 multi-path gun -- minimal adjustment makes p2749
x = 142, y = 134, rule = LifeHistory
43.2A$42.B2AB11.2A.A.2A$43.3B4.A.2A.A2.A.2A2.A$42.B.B5.2A.A.2A.A4.A.A
$42.5B8.B2.5A.A$42.6B6.2ABA4.A$42.8B4.2A.A.AB2.A$43.13B2.A.A2B.A$41.
13B5.A2B.2A$40.15B3.3B58.A$40.15B3.2B19.A37.3A$39.17B.4B16.3A13.A22.A
$39.29B8.A16.3A20.2A$38.9B2D2B2A11BD4B7.2A18.A17.4B$37.9BDBD2B2A9B3D
4B2.B.5B17.2A16.3B$36.2AB3.6BD13BDBD4B.6B19.4B14.4B$35.A2.A4.19BD13B
7.7B.B5.3B12.5B15.2B$34.A.2A5.6B3.B2.2B2.19B.B3.13B.4B11.6B13.5B$34.A
7.6B14.19BD26B2.8B12.7B$33.2A6.9B14.18BD21BD14B10.8B$A18.A20.4B4.2A
15.17B2D18B3D13B11.9B$3A6.2A6.3A19.4B5.A15.17B2D2B2A15BDBD4B.7B12.10B
$3.A4.B2AB4.A21.4B7.3A12.7B.9BD3B2A15BD15B12.8BA$2.2A5.3B4.2A19.4B10.
A10.2AB.3B4.6B2.11B3.2B2.19B11.8BABA$2.3B.2B2.B2.5B18.4B21.A.AB9.4B3.
10B11.17B8.10BABA$2.14B19.4B22.A10.5B5.6B16.15B.2B2.14BAB$.14B2A17.4B
22.2A10.2A9.3B19.22BD11B$.9B2A3B2A16.4B36.A9.B21.8B.13BDBD9B$.9B2A2B.
B16.4B34.3A9.2A19.8B3.2B2A9B3D7B$2.12B17.4B35.A11.A20.2A3.B5.2B2A11BD
7B$5.7B18.4B46.A.A21.A10.18B2.B$6.6B17.4B47.2A19.3A12.B.3B.4B$5.8B15.
4B69.A19.4B$6.6B$6.6B$5.6B14.4B89.4B3.2A$4.7B13.4B89.4B3.B2AB$5.6B12.
4B19.A69.4B5.2B$5.7B10.4B.3B.B12.3A19.2A47.5B4.2B$5.7B3.18B10.A21.A.A
45.14B$5.7B2.4BD11B2A2B5.B3.2A20.A11.A35.10BA3B$5.3B2D2B2.4B3D9B2A2B
3.8B19.2A9.3A34.2BA8BA6B5.B$4.4B2D8BDBD13B.8B21.B9.A36.2BAB2A5BAB3A
10B$5.9B2D4BD22B19.3B9.2A10.2A22.2B5A6B2A2BA11B$4.10B2D8B2.2B.15B16.
6B5.5B10.A22.2B2A2B2A5BAB5A10B.B$3.18B8.17B11.10B3.4B9.BA.A21.3BA2BA
13B3A9B2A$.6B2D10B11.19B2.2B3.11B2.6B4.3B.B2A10.A10.5BABA14B2A9B2A$.
6B2D9B12.15BD15B2A3BD9B.7B12.3A7.4B3.A27B$2.17B12.7B.4BDBD15B2A2B2D
17B15.A5.4B7.5BA3B3A4B.B4.3B$3.16B11.13B3D18B2D17B15.2A4.4B9.2B.2BA7B
$4.7B3.3B.B2A8.14BD21BD18B14.9B6.2A5.BA7B$5.6B4.B2.BA.A8.8B2.26BD19B
14.6B7.A7.11B$6.4B11.A8.6B11.4B.13B3.B.19B2.2B2.B3.6B5.2A.A7.12B$4.5B
12.2A8.5B12.4B4.B.7B7.13BD19B4.A2.A8.12B$4.2A25.4B14.4B19.6B.4BDBD13B
D6B3.B2A10.11B$5.A26.3B15.4B16.5B.B2.4B3D9B2A2BDBD9B9.4B.4B3DB$2.3A
25.4B17.4B10.2A3.2A7.4BD11B2A2B2D9B10.2A4.4BD2B$2.A27.2A20.4B9.A.A3.A
8.29B12.A4.2B3D2B$31.A21.4B10.4A16.4B.17B9.3A6.6B$28.3A23.4B8.A3.A.A
15.2B3.15B10.A8.7B$28.A26.4B7.2A3.2A14.3B3.15B19.8B$56.4B3.5B15.2A.2B
A5.13B21.8B$57.4B2.3B17.A.2BA.A2.13B23.9B$58.9B7.2A8.A2.BA.A.2A4.8B
21.6B.4B$59.8B8.A9.A4.AB2A6.6B21.7B.4B$60.10B3.B.A.2A4.A.5A2.B8.5B22.
6B2.4B$60.7B2A2B.B3A2.A3.A.A4.A.2A.A.2A5.B.B22.6B3.4B$60.7B2A3BAB2.2A
5.A2.2A.A2.A.2A.A4.3B23.6B4.3BC$60.12B4A8.2A.A.2A11.B2AB21.8B4.CBC$
58.2AB.7B3.2B.A27.2A21.8B6.2C$57.A.AB.7B2.B3A51.9B6.B$57.A5.5B3.A54.
9B$56.2A5.4B5.5A48.10B$62.4B10.A48.3B2A5B$61.4B9.A44.2A3.4B2A5B$60.4B
10.2A44.A3.11B$59.4B57.A.A7BD4B$58.4B59.2A2.4B3DB$57.4B65.2B2D2BD$57.
3B67.6B$55.B.2B68.7B$54.2B.B68.7B5.2A$53.3B70.8B3.A.A$52.4B70.8B3.A$
37.A13.4B71.9B.2A$37.3A10.4B71.11B$40.A8.4B71.12B$39.2A7.4B72.12B$39.
5B3.4B66.2A6.10B$30.2A9.3B2.4B68.A7.11B$29.A.A8.9B69.A.AB.14B$29.A8.B
.8B71.2AB.13B2A$26.2A.AB.B3.7BD3B74.15B2A$27.A.A.2AB.7BD4B73.15B.B$
27.A.A.2A9B3D2B24.2A3.2A43.14B$26.2A.A2.5B2A8B24.2A2.A.3A39.2AB.11B$
26.A2.4A3BA2BA5B.B2A26.A4.A37.A.AB3.9B$27.2A2.BAB.2B2A6B.BA.A21.4A.2A
2.A37.A8.8B$29.2A6.7B5.A21.A2.A.A.A.2A35.2A9.7B$29.A7.2B.4B5.2A22.BAB
ABA.A44.11B$31.A9.4B29.B2ABA.A43.12B$30.2A10.4B29.2B.BA44.12B$43.4B
27.3B37.A9.11B$44.4B17.2A6.4B37.3A7.B3D4B.4B$45.4B17.A6.B2A3B38.A6.2B
D4B4.2A$46.4B16.A.AB3.B2A3B37.2A6.2B3D2B4.A$47.4B16.2AB.10B35.5B3.6B
6.3A$48.4B17.13B22.2A12.12B8.A$49.4B16.5B3D6B22.A11.13B$50.4B15.7BD7B
21.A.AB8.12B$51.4B10.A5.4BD3B2.4B10.A10.2AB.3B4.12B$52.4B7.3A5.6B5.4B
7.3A12.22B$53.4B5.A7.9B4.4B5.A15.22B$54.4B4.2A5.4B4.2A5.4B4.2A15.20B$
55.9B5.3B5.A7.9B14.21B$56.6B5.B.2B7.3A5.6B14.23B$56.8B2.2B.B11.A5.6B
3.B2.2B2.24B.B2A$54.14B10.2AB.A4.19BD13B2.5B.BA.A$54.14B9.A2.2AB3.20B
DBD4B.7B2.2B6.A$54.13B10.2A2.14B2A9B3D4B2.3B.B4.B6.2A$52.2AB.10B16.
13B2A11BD4B4.2B2A3.2A$51.A.AB3.B2A3B19.29B4.BA2.A4.A$51.A6.B2A3B19.
17B.4B12.3A5.A.A$50.2A6.4B22.15B2.3B22.2A$59.3B22.15B2.4B12.3A$60.2B.
BA20.13B5.A2B.2A8.A2.A$59.B2ABA.A21.13B2.A.A2B.A10.2A$58.BABABA.A20.
8B4.2A.A.AB2.A$56.A2.A.A.A.A.2A17.6B6.2ABA4.A$56.4A.2A2.A2.A17.5B8.B
2.5A.A$60.A4.2A19.B.B5.2A.A.2A.A4.A.A$58.A.A26.3B4.A.2A.A2.A.2A2.A$
58.2A26.B2AB11.2A.A.2A$87.2A!
Lots More Options Out There
This kind of multi-path gun will make any high-enough period that might be wanted, not just prime periods. Below is a period 2558 multi-path loop, for example.

Code: Select all

#C weird p1279 gun using two signals in a p2558 multi-path loop
x = 142, y = 118, rule = LifeHistory
42.2A$41.B2AB11.2A.A.2A$42.3B4.A.2A.A2.A.2A2.A$41.B.B5.2A.A.2A.A4.A.A
$41.5B8.B2.5A.A$41.6B6.2ABA4.A$41.8B4.2A.A.AB2.A$42.13B2.A.A2B.A$40.
13B5.A2B.2A$39.15B3.3B58.A$39.15B3.2B19.A37.3A$38.17B.4B16.3A13.A22.A
$38.29B8.A16.3A20.2A$37.9B2C4A11BD4B7.2A18.A17.4B$36.9BDBD4A9B3D4B2.B
.5B17.2A16.3B$35.2AB3.6BC13BDBD4B.6B19.4B14.4B$34.A2.A4.19BD13B7.7B.B
5.3B12.5B15.2B$33.A.2A5.6B3.B2.2B2.19B.B3.13B.4B11.6B13.5B$33.A7.6B
14.19BD26B2.8B12.7B$A18.A12.2A6.9B14.18BD21BD14B10.8B$3A6.2A6.3A19.4B
4.2A15.17B2D18B3D13B11.9B$3.A4.B2AB4.A21.4B5.A15.17B2D2B2A15BDBD4B.7B
12.10B$2.2A5.3B4.2A19.4B7.3A12.7B.9BD3B2A15BD15B12.8BA$2.3B.2B2.B2.5B
18.4B10.A10.2AB.3B4.6B2.11B3.2B2.19B11.8BABA$2.14B19.4B21.A.AB9.4B3.
10B11.17B8.10BABA$.14B2A17.4B22.A10.5B5.6B16.15B.2B2.14BAB$.9B2A3B2A
16.4B22.2A10.2A9.3B19.22BD11B$.9B2A2B.B16.4B36.A9.B21.8B.13BDBD9B$2.
12B17.4B34.3A9.2A19.8B3.2B2A9B3D7B$5.7B18.4B35.A11.A20.2A3.B5.2B2A11B
D7B$6.6B17.4B46.A.A21.A10.18B2.B$5.8B15.4B47.2A19.3A12.B.3B.4B$6.6B
15.4B69.A19.4B$6.6B14.4B89.4B$5.6B14.4B89.4B3.2A$4.7B13.4B89.4B3.B2AB
$5.6B12.4B19.A69.4B5.2B$5.7B10.4B.3B.B12.3A19.2A47.5B4.2B$5.7B3.18B
10.A21.A.A45.14B$5.7B2.4BD11B2A2B5.B3.2A20.A11.A35.10BA3B$5.3B2C2B2.
4B3D9B2A2B3.8B19.2A9.3A34.2BA8BA6B5.B$4.4B2C8BDBD13B.8B21.B9.A36.2BAB
2A5BAB3A10B$5.9B2D4BD22B19.3B9.2A10.2A22.2B5A6B2A2BA11B$4.10B2D8B2.2B
.15B16.6B5.5B10.A22.2B2A2B2A5BAB5A10B.B$3.18B8.17B11.10B3.4B9.BA.A21.
3BA2BA13B3A9B2A$.6B2C10B11.19B2.2B3.11B2.6B4.3B.B2A10.A10.5BABA14B2A
9B2A$.6B2C9B12.15BD15B2A3BD9B.7B12.3A7.4B3.A27B$2.17B12.7B.4BDBD15B2A
2B2D17B15.A5.4B7.5BA3B3A4B.B4.3B$3.16B11.13B3D18B2D17B15.2A4.4B9.2B.
2BA7B$4.7B3.3B.B2A8.14BD21BD18B14.9B6.2A5.BA7B$5.6B4.B2.BA.A8.8B2.26B
D19B14.6B7.A7.11B$6.4B11.A8.6B11.4B.13B3.B.19B2.2B2.B3.6B5.2A.A7.12B$
4.5B12.2A8.5B12.4B4.B.7B7.13BD19B4.A2.A8.12B$4.2A25.4B14.4B19.6B.4BDB
D13BD6B3.B2A10.11B$5.A26.3B15.4B16.5B.B2.4B3D9B2A2BDBD9B9.4B.4B3DB$2.
3A25.4B17.4B10.2A3.2A7.4BD11B2A2B2D9B10.2A4.4BD2B$2.A27.2A20.4B9.A.A
3.A8.29B12.A4.2B3D2B$31.A21.4B10.4A16.4B.17B9.3A6.6B$28.3A23.4B8.A3.A
.A15.2B3.15B10.A8.7B$28.A26.4B7.2A3.2A14.3B3.15B19.8B$56.4B3.5B15.2A.
2BA5.13B21.8B$57.4B2.3B17.A.2BA.A2.13B23.9B$58.9B7.2A8.A2.BA.A.2A4.8B
21.6B.4B$59.8B8.A9.A4.AB2A6.6B21.7B.4B$60.10B3.B.A.2A4.A.5A2.B8.5B22.
6B2.4B$60.7B2A2B.B3A2.A3.A.A4.A.2A.A.2A5.B.B22.6B3.4B$60.7B2A3BAB2.2A
5.A2.2A.A2.A.2A.A4.3B23.6B4.3BA$60.12B4A8.2A.A.2A11.B2AB21.8B4.ABA$
58.2AB.7B3.2B.A27.2A21.8B6.2A$57.A.AB.7B2.B3A51.9B6.B$57.A5.5B3.A54.
9B$49.A6.2A5.4B5.5A12.2A34.10B$49.3A10.4B10.A11.B2AB11.2A.A.2A15.3B2A
5B$52.A8.4B9.A14.3B4.A.2A.A2.A.2A2.A8.2A3.4B2A5B$51.2A7.4B10.2A12.B.B
5.2A.A.2A.A4.A.A8.A3.11B$51.5B3.4B25.5B8.B2.5A.A9.A.A7BD4B$42.2A9.3B
2.4B26.6B6.2ABA4.A12.2A2.4B3DB$41.A.A8.9B27.8B4.2A.A.AB2.A16.2B2D2BD
4.2A$41.A8.B.8B29.13B2.A.A2B.A16.6B4.A$38.2A.AB.B3.7BD3B28.13B5.A2B.
2A4.A11.6B.BA.A$39.A.A.2AB.7BD4B27.15B2.4B8.3A8.7B.B2A$39.A.A.2A3B2A
4B3D2B27.15B2.3B12.A8.8B$38.2A.A2.4B2A9B26.17B.4B10.2A8.7B$38.A2.4A
12B.B2A24.29B3.4B2A4.7B$39.2A2.BAB.10B.BA.A22.13B2A11BD4B4.2B2A3.7B4.
B$41.2A6.7B5.A21.14B2A9B3D4B2.7B3.6B.B.2BA$41.A7.2B.4B5.2A19.2AB3.20B
DBD4B.7B3.11BA.A$43.A9.4B24.AB.A4.19BD15B2.5BD4B.BA$42.2A10.4B22.A.2A
5.6B3.B2.2B2.19B.B.3B3D3B$55.4B21.A7.6B14.19BD2BD5B$56.4B19.2A6.9B14.
18BD7B$57.4B25.4B4.2A15.17B2D6B$58.4B23.4B5.A15.17B2D6B$59.4B21.4B7.
3A12.7B.9BD7B$60.4B19.4B10.A10.2AB.3B4.13B.3B$61.4B10.A6.4B21.A.AB9.
4B3.B.B3.B2A$62.4B7.3A5.4B22.A10.5B4.B2AB2.BA.A$62.5B5.A7.4B22.2A10.
2A8.2A4.B2A$64.4B4.2A5.4B36.A12.4B$65.9B4.4B34.3A13.2A$66.6B5.4B35.A
16.A$66.4BD3B2.4B50.3A$64.7BD7B51.A$64.5B3D6B$64.13B$62.2AB.10B$61.A.
AB3.B2A3B$61.A6.B2A3B$60.2A6.4B$69.3B$70.2B.BA$69.B2ABA.A$68.BABABA.A
$66.A2.A.A.A.2A$66.4A.2A2.A$70.A4.A$66.2A2.A.3A$66.2A3.2A!
It happens to be possible to pack two signals into the loop to make a prime-period p1279 gun as shown here, but that's probably not usually such a good idea. Just a standard single packed loop will probably end up being smaller for such a low period... and also the Surgeon General has determined that interactions between multiple signals, period multipliers, and XORed period multipliers is likely to cause painful migraines.

Re: Small Four-Digit Prime Period Guns

Posted: March 26th, 2019, 6:21 pm
by googleplex
I made a Github repository for the prime-period guns.

Re: Small Four-Digit Prime Period Guns

Posted: March 26th, 2019, 9:52 pm
by dvgrn
googleplex wrote:I made a Github repository for the prime-period guns.
Thanks! So should the three prime-period guns that I posted above get checked in to the repository until something better comes along? Or is someone going to extend chris_c's variable period guns to hit all the prime periods instead, as a first approximation?

(Was kind of hoping someone would be ambitious enough to put the Dieter and Peter Part 2 gun collection on GitHub -- but primes-to-9999 is definitely a more reasonable-sized project!)

I'm getting a little better at compacting multi-path loops, but not much. Here's a prime-period p3301 with a period quadrupler and a composite 3-out-of-4 mechanism using a nice simple beehive stopper:

Code: Select all

#C p3301 multi-path gun
x = 161, y = 118, rule = LifeHistory
97.2A11.A$96.B2AB9.A.A$97.3B9.A.A2.2A3.A$96.B.B9.2A.2A2.A2.A.A$96.5B
8.B2.A.A3.A.A12.2A$96.6B6.2ABA2.4A.A13.A$96.8B4.2A.A.A3.A12.BA.A$97.
13B2.A.AB2.A9.B.B2A$95.13B5.A.A2B.A7.4B$94.15B5.A2B.2A7.4B$94.15B4.3B
10.5B8.2A18.C$93.17B.B.2B11.6B8.A16.3C$93.29B2.8B8.A.AB12.C$92.13B2A
26B8.2AB.3B8.2C$91.14B2A25B11.7B3.5B$90.2AB3.27B.7B12.13B$89.A2.A4.
35B11.14B$88.A.2A5.6B3.B2.2B2.19B10.15B.2B$88.A7.6B14.17B7.19B2C$87.
2A6.9B14.15B.2B2.19B.B2C$94.4B4.2A15.22BD4B2A9B2.B$93.4B5.A16.8B.13BD
BDBA2BA7B$92.4B7.3A11.8B3.2B2A9B3D2B2A8B$91.4B10.A11.2A3.B5.2B2A11BD
12B.2B$90.4B24.A10.18B4.7B2C$89.4B22.3A12.B.3B.4B4.B6.5B.B2C$88.4B23.
A19.4B12.6B.B$87.4B43.4B13.4B$86.4B43.4B15.4B$85.4B43.4B14.4B.B2C$84.
4B43.4B15.2C3.BC.C$83.4B43.4B4.A2.2A8.C6.C$82.4B43.4B5.4A.A4.3C7.2C$
81.4B43.4B11.A4.C$80.4B43.4B5.7A.2A$79.4B43.4B5.A2.B3.A.A2.A$78.4B43.
4B6.2A2.2A.AB2.2A$77.4B43.4B10.B2AB2A$76.4B43.4B12.5B$75.4B43.4B14.3B
$74.4B43.4B14.5B$73.4B43.4B14.4BAB$72.4B43.4B7.2A6.3BABA2B$71.4B43.4B
9.A5.4BABA2B$70.4B43.4B3.2A5.A.AB3.4BA3B$42.A26.4B43.4B3.B2AB5.2AB.
10B$42.3A23.4B43.4B5.2B8.13B$45.A21.4B43.5B4.2B9.5B3D6B$44.2A20.4B42.
14B8.7BD7B$44.4B17.4B43.14B10.4BD3B2.4B$46.3B15.4B43.18B5.B.6B5.4B$
45.4B14.4B43.34B4.4B$45.5B12.4B19.A23.30B3.2A5.4B$35.2A7.6B6.B4.4B.3B
.B12.3A22.32B2.A7.4B$19.2A14.A8.8B2.18B10.A24.32B4.3A5.4B$19.2A11.BA.
A7.14BD11B2A2B5.B3.2A11.A10.33B6.A6.4B$26.3B.B.B2A9.13B3D9B2A2B3.8B
11.3A7.4B3.26B2A13.4B$19.4A3.7B12.7B.4BDBD13B.8B16.A5.4B7.16B.B4.BABA
13.4B$19.A3.A2.7B11.15BD22B15.2A4.4B9.2B.10B11.A14.4B$21.BA2B.7B11.
19B2.2B.15B14.9B6.2A5.9B12.2A14.4B$21.BABA10B8.18B7.17B14.6B7.A7.11B
26.3BA$21.2B2A13B2.2B.16B10.19B2.2B2.B3.6B5.2A.A7.12B26.ABA$19.2A.12B
D22B12.35B4.A2.A8.12B7.2A18.2A$19.A4.8BDBD13B.8B13.7B.27B3.B2A10.11B
2.2A2.A2.A18.B$12.2A3.A.A6.6B3D9B2A2B3.8B10.41B9.4B.4B3DB2.A.A2.2A$
12.A4.2A7.6BD11B2A2B5.B3.2A9.26BA14B10.2A4.4BD2B3.B.2A$7.2A5.A10.22B
10.A11.8B2.15BA13B12.A4.2B3D2B2.2B2.A$7.A5.2A9.4B8.4B.3B.B12.3A8.6B
11.2B.B.2BABAB2A9B9.3A6.6B.2BAB.A.2A$4.2A.A.3B11.4B10.4B19.A9.5B10.3B
4.6BA8B10.A8.8BA.A.2A.A$4.A2.A.2A2B2A7.4B12.4B28.4B7.2A.2BA5.5BA9B19.
8B.A.A$6.2A.A.2B2AB5.4B14.4B21.A5.4B7.A.2BA.A5.13B21.5B4.A2.2A$9.A.4B
5.4B16.4B18.3A3.2AB.B9.A2.BA.A2.13B23.6B4.2A.3A$9.2A.4B3.4B18.4B16.A
5.A.AB12.A3.A.A.2A4.8B21.6B6.B4.A$12.3BA6B20.4B15.2A4.A13.A.4A2.AB2A
6.6B21.7B3.B2AB3A$3.2A7.2BABA4B22.4B9.7B3.2A12.A.A3.A.A2.B8.5B22.8B.B
2A.A$3.A8.3BA4B24.4B7.8B17.A.A2.A2.2A.2A9.B.B22.10B$2A.A.B3.10B26.4B
5.10B17.A3.2A2.A.A9.3B22.3B2A6B$A2.3AB.2B2A2BD4B27.4B4.11B24.A.A9.B2A
B15.2A5.2B2A6B$.2A2.BA3B2A2BDBD2B28.4B4.9B26.A11.2A17.A5.10B$3.4A7B2D
3B29.4B2.11B56.A.AB2.11B$3.A.2B3.7B.B2A28.16B20.2A35.2AB.12B$4.3AB2.
7B.BA.A28.14B2A19.A.A36.15B$7.A4.4B5.A28.14B2A21.A4.2A30.16B$2.5A5.4B
5.2A28.15B17.4A.2A2.A2.A28.16B.2B$2.A10.4B36.14B4.2A10.A2.A.A.A.A.2A
28.18B2A$4.A9.4B36.13B4.A13.BABABA.A30.17B.B2A$3.2A10.4B36.11B2.BA.A
14.B2ABA.A29.4B2.8B.4B.B$16.4B34.11B.B.B2A16.2B.BA29.4B4.7B$17.4B32.
12B2A2B17.3B31.4B5.6B$18.4B30.10B2.BA.AB8.2A6.4B30.4B6.4B$19.4B28.12B
3.2A10.A6.B2A3B27.4B5.A3B$20.4B26.4B3.B.5B14.A.AB3.B2A4B25.4B5.A.AB$
21.4B24.4B3.3B2.4B14.2AB.10B23.4B6.A.A$22.4B11.A10.4B4.B2AB2.4B15.13B
21.4B8.A$23.4B8.3A9.4B6.2A4.4B14.5B3D6B19.4B6.3A$24.4B6.A11.4B14.4B
10.A2.7BD7B10.A6.4B7.A$25.4B5.2A9.4B16.4B7.3A4.4BD3B2.4B7.3A5.4B$26.
4B.5B8.4B18.4B5.A7.6B5.4B5.A7.4B$27.7B9.4B20.4B4.2A5.9B4.4B4.2A5.4B$
28.3BD3B7.4B22.9B4.4B4.2A5.9B4.4B$22.2A4.BDBD3BAB4.4B24.6B5.4B5.A7.6B
5.4B$22.A2.A.3B2D2BABAB2.4B25.4BD3B2.4B7.3A4.4BD3B2.4B$20.2A2.2A8B2A
7B24.7BD7B10.A2.7BD7B$19.A2.2AB2.15B25.5B3D6B14.5B3D6B$19.2A3.2A15B.
2B23.13B15.13B$24.A.AB.14B2A20.2AB.10B14.2AB.10B$25.AB3.11B.B2A19.A.A
B3.B2A4B14.A.AB3.B2A3B$31.11B.B20.A6.B2A3B15.A6.B2A3B$29.5B4.4B21.2A
6.4B16.2A6.4B$29.2A7.5B29.3B25.3B$30.A8.B2A.A2.A26.2B.BA23.2B.BA$27.
3A11.A.4A25.B2ABA.A21.B2ABA.A$27.A11.A.A29.BABABA.A20.BABABA.A$39.2A
2.2A24.A2.A.A.A.A.2A15.A2.A.A.A.A.2A$44.A24.4A.2A2.A2.A15.4A.2A2.A2.A
$43.A29.A4.2A21.A4.2A$43.2A26.A.A25.A.A$71.2A26.2A!
This kind of thing can be compressed down a bit further by adding a longer stretch of Herschel track to the Snark+syringe+NW31 in the southeast, or maybe by splitting off the 1-in-4 signal as an output somehow instead of having to have another period multiplier on the 3-in-4 mechanism. I tried something along those lines, but a couple of the connections didn't quite fit right, and it ended up with an even period anyway:

Code: Select all

#C subpotimal p3876 gun that might be reduced to something
#C    odd-period and reasonable size
x = 146, y = 148, rule = LifeHistory
82.2A11.A$81.B2AB9.A.A$82.3B9.A.A2.2A3.A$81.B.B9.2A.2A2.A2.A.A$81.5B
8.B2.A.A3.A.A12.2A$81.6B6.2ABA2.4A.A13.A$81.8B4.2A.A.A3.A12.BA.A$82.
13B2.A.AB2.A9.B.B2A$80.13B5.A.A2B.A7.4B$79.15B5.A2B.2A7.4B$79.15B4.3B
10.5B8.2A18.C$78.17B.B.2B11.6B8.A16.3C$78.29B2.8B8.A.AB12.C$77.13B2A
26B8.2AB.3B8.2C$76.14B2A25B11.7B3.5B$75.2AB3.27B.7B12.13B$74.A2.A4.
35B11.14B$73.A.2A5.6B3.B2.2B2.19B10.15B.2B$73.A7.6B14.17B7.19B2C$72.
2A6.9B14.15B.2B2.19B.B2C$79.4B4.2A15.22BD15B2.B$78.4B5.A16.8B.13BDBD
12B$77.4B7.3A11.8B3.2B2A9B3D12B$76.4B10.A11.2A3.B5.2B2A11BD12B.2B$75.
4B24.A10.18B4.7B2C$74.4B22.3A12.B.3B.4B4.B6.5B.B2C$73.4B23.A19.4B12.
6B.B$72.4B43.4B13.4B$71.4B43.4B15.4B$70.4B43.4B3.2A9.4B.B2C$42.A26.4B
43.4B3.B2AB8.2C3.BC.C$42.3A23.4B43.4B5.2B10.C6.C$45.A21.4B43.5B4.2B8.
3C7.2C$44.2A20.4B42.11BA2B7.C$44.4B17.4B43.9B4AB$46.3B15.4B43.3B2A4B
6A3B5.B$45.4B14.4B43.3BA2BA3BA4B2A9B$45.5B12.4B19.A23.BA3BABA21B$35.
2A7.6B6.B4.4B.3B.B12.3A22.2A5B2A5BA15B.B$19.2A14.A8.8B2.18B10.A24.2B
2A3BA8B2A14B2A$19.2A11.BA.A7.14BD11B2A2B5.B3.2A11.A10.6B2A25B2A$26.3B
.B.B2A9.13B3D9B2A2B3.8B11.3A7.4B3.13BA14B$19.4A3.7B12.7B.4BDBD13B.8B
16.A5.4B7.10B2A4B.B4.3B$19.A3.A2.7B11.15BD22B15.2A4.4B9.2B.6B2A2B$21.
BA2B.7B11.19B2.2B.15B14.9B6.2A5.9B$21.BABA10B8.18B7.17B14.6B7.A7.11B$
21.2B2A13B2.2B.16B10.19B2.2B2.B3.6B5.2A.A7.12B$19.2A.12BD22B12.35B4.A
2.A8.12B7.2A$19.A4.8BDBD13B.8B13.7B.27B3.B2A10.11B2.2A2.A2.A$12.2A3.A
.A6.6B3D9B2A2B3.8B10.25B2A14B9.4B.4B3DB2.A.A2.2A$12.A4.2A7.6BD11B2A2B
5.B3.2A9.26B2A13B10.2A4.4BD2B3.B.2A$7.2A5.A10.22B10.A11.8B2.29B12.A4.
2B3D2B2.2B2.A$7.A5.2A9.4B8.4B.3B.B12.3A8.6B11.2B.B.17B9.3A6.6B.2BAB.A
.2A$4.2A.A.3B11.4B10.4B19.A9.5B10.3B4.15B10.A8.8BA.A.2A.A$4.A2.A.2A2B
2A7.4B12.4B28.4B7.2A.2BA5.15B19.8B.A.A$6.2A.A.2B2AB5.4B14.4B21.A5.4B
7.A.2BA.A5.13B21.5B4.A2.2A$9.A.4B5.4B16.4B18.3A3.2AB.B9.A2.BA.A2.13B
23.6B4.2A.3A$9.2A.4B3.4B18.4B16.A5.A.AB12.A3.A.A.2A4.8B21.6B6.B4.A$
12.3BA6B20.4B15.2A4.A13.A.4A2.AB2A6.6B21.7B3.B2AB3A$3.2A7.2BABA4B22.
4B9.7B3.2A12.A.A3.A.A2.B8.5B22.8B.B2A.A$3.A8.3BA4B24.4B7.8B17.A.A2.A
2.2A.2A9.B.B22.10B$2A.A.B3.10B26.4B5.10B17.A3.2A2.A.A9.3B22.3B2A6B$A
2.3AB.2B2A7B27.4B4.11B24.A.A9.B2AB15.2A5.2B2A6B$.2A2.BA3B2A7B28.4B4.
9B26.A11.2A17.A5.10B$3.4A12B29.4B2.11B56.A.AB2.11B$3.A.2B3.7B.B2A28.
16B57.2AB.12B$4.3AB2.7B.BA.A28.14B2A58.15B$7.A4.4B5.A28.14B2A21.2A11.
A6.2A15.16B$2.5A5.4B5.2A28.15B20.B2AB9.A.A4.A2.A14.16B.2B$2.A10.4B36.
14B4.2A14.3B9.A.A3.A.3A3.A10.18B2A$4.A9.4B36.13B4.A14.B.B9.2A.2A.A.A
6.3A7.17B.B2A$3.2A10.4B36.3B2A6B2.BA.A14.5B8.B2.A.A3.2A6.A5.4B2.8B.4B
.B$16.4B34.3BA2BA4B.B.B2A15.6B6.2ABA2.4A.A5.2A.7B4.7B$17.4B32.5B2A5B
2A2B17.8B4.2A.A.A3.A7.9B5.6B$18.4B30.10B2.BA.AB18.13B2.A.AB2.A8.6B6.
4B$19.4B28.12B3.2A17.13B5.A.A2B.A7.5B5.A3B$20.4B26.4B3.B.5B20.15B5.A
2B.2A6.7B3.A.AB$21.4B24.4B3.3B2.4B19.15B4.3B10.6B4.A.A$22.4B11.A10.4B
4.B2AB2.4B17.17B.B.2B10.7B5.A$23.4B8.3A9.4B6.2A4.4B16.29B4.6B2.3A$24.
4B6.A11.4B14.4B14.13B2A16B2.7B2.A$25.4B5.2A9.4B16.4B12.14B2A16B2.7B$
26.4B.5B8.4B18.4B10.2AB3.27B.9B$27.2B2A3B9.4B20.4B8.A2.A4.36B$28.B2AD
3B7.4B22.4B6.A.2A5.6B3.B2.2B2.20B4.B$22.2A4.BDBD3BAB4.4B24.4B5.A7.6B
14.19B.B2A$22.A2.A.3B2D2BABAB2.4B26.4B3.2A6.9B14.19B2A$20.2A2.2A8B2A
7B28.4B9.4B4.2A15.17B.B$19.A2.2AB2.15B30.4B7.4B5.A15.17B$19.2A3.2A15B
.2B29.4B5.4B7.3A12.17B$24.A.AB.14B2A29.4B3.4B10.A10.2AB.15B$25.AB3.
11B.B2A30.4B.4B21.A.AB4.12B$31.11B.B32.7B22.A9.11B$29.5B4.4B35.5B12.A
9.2A8.13B$29.2A7.5B34.5B10.3A19.12B$30.A8.B2A.A2.A29.7B8.A23.10B$27.
3A11.A.4A28.4B.4B7.2A23.9B$27.A11.A.A32.4B3.4B3.5B23.9B$39.2A2.2A28.
4B5.4B2.3B25.9B$44.A27.4B7.9B7.2A16.5B$43.A27.4B9.8B8.A16.4B$43.2A13.
2A10.4B11.10B3.B.A.2A13.4B$59.A9.4B12.4BD2B2A2B.B3A2.A12.4B$57.A10.4B
13.2BDBD2B2A3BAB2.2A12.4B$57.5A5.4B5.2A7.3B2D7B4A13.4B$62.A4.4B5.A.A
4.2AB.7B3.2B.A12.4B$59.3AB2.7B.BA.A2.A2.A.AB.7B2.B3A12.4B$58.A.2B3.7B
.B2A.A.A2.A5.7B.A14.4B$58.4A7B2D3B3.A2.3A5.8B.5A8.4B$56.2A2.BA3B2A2BD
BD2B3.3A7.4B2.4B4.A7.4B$55.A2.3AB.2B2A2BD4B6.A5.4B4.4B.A8.4B$55.2A.A.
B3.10B5.2A4.4B6.4B2A6.4B$58.A8.8B4.9B8.4B6.4B$58.2A7.9B5.6B10.4B4.4B$
68.3B2.4B2.3BD4B11.4B2.4B$66.5B3.7BD7B10.8B$66.2A7.6B3D5B11.6B$67.A8.
13B12.4B$64.3A10.10B.B2A9.4B$64.A14.3B2AB3.BA.A7.4B$79.3B2AB6.A6.4B$
81.4B6.2A4.4B$81.3B12.4B$78.AB.2B12.4B$77.A.AB2AB10.4B$77.A.ABABAB8.
4B$74.2A.A.A.A.A2.A5.4B$74.A2.A2.2A.4A4.4B$76.2A4.A7.4B$82.A.A4.4B$
74.A8.2A3.4B$74.3A10.4B$77.A8.4B$76.2A7.4B$76.5B3.4B$67.2A9.3B2.4B$
66.A.A8.9B$66.A8.B.8B$63.2A.AB.B3.BA9B$64.A.A.2AB.3A4BD4B$64.A.A.2A2B
2A5BDBD2B$63.2A.A2.5BA4B2D3B$63.A2.4A3BA8B.B2A$64.2A2.BAB.BA8B.BA.A$
66.2A6.7B5.A$66.A7.2B.3BC5.2A$68.A9.3BC$67.2A10.3CB!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 12:04 am
by googleplex
I accidentally made a period 3456 gun, perhaps someone could wrangle it into an odd period:

Code: Select all

x = 181, y = 125, rule = LifeHistory
98.2A$79.2A.A.2A11.B2AB$78.A2.2A.A2.A.2A.A4.3B$77.A.A4.A.2A.A.2A5.B.B
$78.A.5A2.B8.5B$80.A4.AB2A6.6B$79.A2.BA.A.2A4.8B$61.2A15.A.2BA.A2.13B
$62.A15.2A.2BA5.13B$62.A.AB16.3B3.15B$63.2AB.2A14.4B.15B$65.2B2AB12.
4B.17B$65.4B6.29B$65.6B3.4BD11B2A2B2D9B$66.6B2.4B3D9B2A2BDBD9B$55.2A
9.7B.4BDBD13BD6B3.B2A$54.B2A2B6.15BD19B4.A2.A$51.B3.4B5.20B2.2B2.B3.
6B5.2A.A$49.2B2D6B.21B14.6B7.A$49.2B2D26B14.9B6.2A$48.2C28B15.2A4.4B$
48.2C29B15.A5.4B$49.30B12.3A7.4B$50.22B2.3B.B2A10.A10.4B$50.22B6.BA.A
21.4B$49.9B3.12B8.A22.4B$48.9B5.12B7.2A22.4B$47.4B3.5B6.9B32.4B$46.4B
7.2A6.6B2.B2A31.4B$45.4B8.A9.B.B3.BA.A31.4B$44.4B10.3A5.3B7.A32.4B$
43.4B13.A5.B2AB6.2A32.4B$42.4B21.2A42.4B$41.4B67.4B$40.4B69.4B$39.4B
71.4B$38.4B73.4B$37.4B75.4B$36.4B77.4B$35.4B79.4B$34.4B81.4B$33.4B83.
4B$32.4B85.4B$31.4B33.B53.4B$30.4B89.4B$29.4B91.4B$28.4B93.4B$19.A7.
4B95.4B$17.3A6.4B97.4B$16.A8.4B99.4B$15.A.A6.4B101.4B$14.BA.A5.4B103.
4B$13.3BA5.4B26.2A77.4B$11.4B6.4B26.B2AB11.2A.A.2A59.4B10.2B$9.6B5.4B
28.3B4.A.2A.A2.A.2A2.A41.2A7.2A7.4B8.2AB$8.7B4.4B28.B.B5.2A.A.2A.A4.A
.A8.2A7.2A20.B2A2B5.A.A7.4B5.BA2BAB4.B$.B.4B.8B2.4B29.5B8.B2.5A.A8.B
2A2B5.A.A20.4B2.BA.A.3A6.4B4.BA2BA3B.B2A23.A$2AB.17B30.6B6.2ABA4.A11.
4B2.BA.A.3A16.7B.B2A5.A6.4B4.B2A6B2A21.3A$2A18B31.8B4.2A.A.AB2.A8.7B.
B2A5.A14.6B2A3B5.2AB6.4B3.7B.2B21.A$.2B.16B32.13B2.A.A2B.A6.11B5.2A
15.5B2A2B6.4B6.4B3.6B24.2A$4.10BD5B30.13B5.A2B.2A7.9B6.4B13.12B4.4B6.
4B2.5B8.2A12.5B$5.8BD6B29.21B11.12B5.3B12.10B2A4B.4B6.11B8.A11.4B$6.
7B3D2B.B2A27.15B2.3B12.16B.4B10.10B2ABA3B2A20B8.A.AB2.B4.6B$6.11B2.BA
.A25.17B.4B10.29B4.9BA2B2AB3A2B2A2BD14B8.2AB.3B3.7B$2.2A3.10B5.A25.
29B4.24BD4B2.15BABA4BAC2D13B11.16B$3.A3.6B2A2B5.2A23.9B2D2B2A11BD4B2.
23B3D4B2.17BAB2ABADBD4B.7B12.17B$2.A4.6B2A3B28.9BDBD2B2A9B3D4B2.23BDB
D4B.12BA4BA3B2ABD15B12.9B2D6B$2.2A3.10B28.2AB3.6BD13BDBD4B.24BD9BA9B
2A3.2B2.19B11.10B2D6B$5.2AB.8B27.A2.A4.19BD21B3.2B2.11B2A9B13.17B8.
18B$2.2AB2AB3.7B25.A.2A5.6B3.B2.2B2.22B13.9B2A6B17.15B.2B2.8B2C10B$3.
A.B6.6B25.A7.6B14.17B17.15B18.22BD4B2C9B$.A3.2A4.6B25.2A6.9B14.15B16.
17B17.8B.13BDBD8B2D4B$.4A2.A.8B32.4B4.2A13.17B15.B2A16B13.8B3.2B2A9B
3D4B2.2B2D3B$4.A.A.A9B30.4B5.A14.19B14.2A17B12.2A3.B5.2B2A11BD4B2.7B$
.2A.A.BA2B.7B8.A20.4B7.3A12.19B14.6B.10B14.A10.18B3.7B$2.A.A2.2B3.6B
6.3A19.4B10.A13.6B.10B15.6B.9B12.3A12.B.3B.4B10.7B$.A2.2A.B4.2B3D2B4.
A21.4B25.6B.9B17.4B4.7B12.A19.4B12.6B$.A.A2.A.A3.2BD4B4.2A19.4B27.4B
4.7B19.B3.8B32.4B13.7B$2.A.A2.2A3.B3D4B.4B18.4B30.B3.8B24.2A4.2B31.4B
14.6B$3.A8.11B19.4B35.2A4.2B25.A36.4B14.6B$12.12B17.4B37.A28.3A36.4B
15.6B$12.12B16.4B35.3A29.A37.4B15.8B$13.11B15.4B36.A68.4B17.6B$16.9B
13.4B105.4B18.7B$15.10B.2B9.4B105.4B17.11B$4.3B4.B.16B7.4B105.4B16.B.
2B2A9B$4.28B3.4B105.4B16.2A3B2A9B$3.2A33B105.4B17.2A14B$3.2A32B105.4B
19.14B$4.B.30B105.4B18.5B2.B2.2B.3B$6.29B105.4B19.2A4.3B5.2A$8.26B
105.4B21.A4.B2AB4.A$9.B5.18B105.4B19.3A6.2A6.3A$18.14B105.4B20.A18.A$
18.14B67.A36.4B$19.2B4.5B37.A29.3A35.4B$18.2B5.4B36.3A28.A37.4B$17.B
2AB3.4B36.A25.2B4.2A35.4B$18.2A3.4B31.2B4.2A24.8B3.B30.4B$22.4B32.8B
3.B19.7B4.4B27.4B$21.4B19.A12.7B4.4B17.9B.6B25.4B$20.4B.3B.B12.3A12.
9B.6B15.10B.6B13.A10.4B$10.B2.18B10.A14.10B.6B14.19B12.3A7.4B$9.7BD
11B2A2B5.B3.2A12.19B14.19B14.A5.4B$9.7B3D9B2A2B3.8B13.19B15.17B13.2A
4.4B$7.9BDBD13B.8B17.17B16.15B14.9B6.2A$7.11BD22B18.15B17.17B14.6B7.A
$6.BA14B2.2B.15B17.17B13.22B2.2B2.B3.6B5.2A.A$6.ABA10B8.17B13.22B2.2B
3.21BD19B4.A2.A$6.ABA8B11.19B2.2B3.21BD24B.4BDBD13BD6B3.B2A$7.A8B12.
15BD24B.4BDBD23B2.4B3D9B2A2BDBD9B$7.10B12.7B.4BDBD23B2.4B3D23B2.4BD
11B2A2B2D9B$8.9B11.13B3D23B2.4BD24B4.29B$9.8B10.14BD24B4.29B10.4B.17B
$9.7B12.8B2.29B10.4B.16B12.3B2.15B$10.5B13.6B11.4B.16B12.3B5.12B11.
21B$12.2B15.5B12.3B5.12B13.4B6.9B7.2A.2BA5.13B$29.4B14.4B6.9B15.2A5.
11B6.A.2BA.A2.13B$30.3B16.2A5.11B14.A5.2AB.7B8.A2.BA.A.2A4.8B$28.4B
17.A5.2AB.7B16.3A.A.AB2.4B11.A4.AB2A6.6B$28.2A20.3A.A.AB2.4B20.A.A5.
2B2AB8.A.5A2.B8.5B$29.A22.A.A5.2B2AB20.2A7.2A8.A.A4.A.2A.A.2A5.B.B$
26.3A24.2A7.2A41.A2.2A.A2.A.2A.A4.3B$26.A79.2A.A.2A11.B2AB$125.2A!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 7:25 am
by dvgrn
googleplex wrote:I accidentally made a period 3456 gun, perhaps someone could wrangle it into an odd period...
Nice one! Better than any of mine so far, I think. It's easy enough to oddperiodify it, and to make it an actual gun instead of an emu. Here's p3187, which happens to be prime:

Code: Select all

#C p3187 gun
x = 169, y = 102, rule = LifeHistory
93.A.A$92.A.2A2.A$92.A3.3A$88.2A.2A.2A$88.A4.A.A.4A$89.3A.B.A.A2.A$
63.2A26.ABABABA6.A$62.B2AB11.2A.A.2A8.2A.2A7.3A$63.3B4.A.2A.A2.A.2A2.
A8.4B10.A$62.B.B5.2A.A.2A.A4.A.A6.3B11.2A24.2A$62.5B8.B2.5A.A6.5B10.
4B22.A$62.6B6.2ABA4.A7.7B11.3B18.BA.A$62.8B4.2A.A.AB2.A6.7B11.4B14.2A
.B2A$63.13B2.A.A2B.A4.10B3.2B.3B.4B12.B2A2B$61.13B5.A2B.2A3.11B.20B6.
4B$60.15B3.3B7.15B2A11BD4B3.6B$60.15B.4B7.16B2A9B3D4B2.6B$59.17B.4B6.
27BDBD4B.7B9.2A$59.41B.13BD15B6.2B2AB$58.9B2D2B2A11BD4B.11B.2B3.2B2.
20B5.4B3.B$57.9BDBD2B2A9B3D4B.10B14.21B.6B2C2B$56.2AB3.6BD13BDBD4B.9B
17.26B2C2B$55.A2.A4.19BD16B18.28B2D$54.A.2A5.6B3.B2.2B2.20B17.29B2D2.
A$54.A7.6B14.18B16.30B3.3A$53.2A6.9B14.16B14.2AB.3B2.22B7.A$60.4B4.2A
15.15B13.A.AB6.22B6.A.A$59.4B5.A15.16B13.A8.12B3.9B5.A.AB$58.4B7.3A
12.16B12.2A7.12B5.9B5.A3B$57.4B10.A10.2AB.3B3.7B22.9B6.5B3.4B6.4B$56.
4B21.A.AB7.6B3.B17.2AB2.6B6.2A7.4B5.6B$55.4B22.A11.6B.B2A9.B5.A.AB3.B
.B9.A8.4B4.7B$54.4B22.2A13.B.2A2B2A15.A7.3B5.3A10.4B2.8B.4B.B$53.4B
39.A.AB.B15.2A6.B2AB5.A13.17B.B2A$52.4B41.AB27.2A21.18B2A$51.4B94.16B
.2B$50.4B95.5BD10B$49.4B96.6BD8B$48.4B95.2AB.2B3D7B$47.4B95.A.AB2.11B
$46.4B77.2A17.A5.10B3.2A$33.2B10.4B59.2A.A.2A11.B2AB15.2A5.2B2A6B3.A$
33.B2A8.4B7.2A7.2A41.A2.2A.A2.A.2A.A4.3B22.3B2A6B4.A$27.B4.BA2BAB5.4B
7.A.A5.2B2AB20.2A7.2A8.A.A4.A.2A.A.2A5.B.B22.10B3.2A$2.A23.2AB.3BA2BA
B4.4B6.3A.A.AB2.4B20.A.A5.2B2AB8.A.5A2.B8.5B22.8B.B2A$2.3A21.2A6B2AB
4.4B6.A5.2AB.7B16.3A.A.AB2.4B11.A4.AB2A6.6B21.7B3.B2AB2A$5.A21.2B.7B
3.4B6.B2A5.11B14.A5.2AB.7B8.A2.BA.A.2A4.8B21.6B6.B.A$4.2A24.6B3.4B6.
4B6.9B15.2A5.11B6.A.2BA.A2.13B23.6B4.2A3.A$4.5B12.2A8.5B2.4B6.4B4.12B
13.4B6.9B7.2A.2BA5.13B21.8B.A2.4A$6.4B11.A8.11B6.4B.16B12.3B5.12B11.
21B19.9BA.A.A$5.6B4.B2.BA.A8.39B10.4B.16B12.3B2.15B10.A8.7B.2BAB.A.2A
$4.7B3.3B.B2A8.14BD24B4.29B10.4B.17B9.3A6.6B3.2B2.A.A$3.16B11.13B3D
23B2.4BD24B4.29B12.A4.2B3D2B4.B.2A2.A$2.17B12.7B.4BDBD23B2.4B3D23B2.
4BD11B2A2B2D9B10.2A4.4BD2B3.A.A2.A.A$.6B2D9B12.15BD24B.4BDBD23B2.4B3D
9B2A2BDBD9B9.4B.4B3DB3.2A2.A.A$.6B2D10B11.19B2.2B3.21BD24B.4BDBD13BD
6B3.B2A10.11B8.A$3.18B8.17B13.22B2.2B3.21BD19B4.A2.A8.12B$4.10B2D8B2.
2B.15B17.17B13.22B2.2B2.B3.6B5.2A.A7.12B$5.9B2D4BD22B18.15B17.17B14.
6B7.A7.11B$4.4B2D8BDBD13B.8B17.17B16.15B14.6B3A6.2A5.9B12.2A$5.3B2D2B
2.4B3D9B2A2B3.8B13.19B15.17B13.2A4.A3B9.2B.10B11.A$5.7B2.4BD11B2A2B5.
B3.2A12.19B14.19B14.A5.A3B7.16B.B4.BABA$5.7B3.18B10.A14.10B.6B14.19B
12.3A7.4B3.26B2A$5.7B10.4B.3B.B12.3A12.9B.6B15.10B.6B13.A10.33B$5.6B
12.4B19.A12.7B4.4B17.9B.6B25.5B2A25B$4.7B13.4B32.8B3.B19.7B4.4B27.3BA
28B$5.6B14.4B31.2B4.2A24.8B3.B30.3BABA5B2A17B$6.6B14.4B36.A25.2B4.2A
35.3BA6B2A17B$6.6B15.4B36.3A28.A37.9BA8B5.B.4B$5.8B15.4B37.A29.3A35.
5B2A7B11.4B$6.6B17.4B68.A35.4BA2BA6B12.4B$5.7B18.4B36.A68.2BABA4.2B
14.4B$3.11B17.4B35.3A29.A37.2BAB5.2B14.3BA$.9B2A2B.B16.4B37.A28.3A36.
4B3.B2AB14.ABA$.9B2A3B2A16.4B35.2A4.2B25.A36.4B3.2A16.2A$.14B2A17.4B
30.B3.8B24.2A4.2B31.4B$2.14B19.4B27.4B4.7B19.B3.8B32.4B$2.3B.2B2.B2.
5B18.4B25.6B.9B17.4B4.7B12.A19.4B$2.2A5.3B4.2A19.4B10.A13.6B.10B15.6B
.9B12.3A12.B.3B.4B$3.A4.B2AB4.A21.4B7.3A12.19B14.6B.10B14.A10.18B2.B$
3A6.2A6.3A19.4B5.A14.19B14.19B12.2A3.B5.2B2A11BD7B$A18.A20.4B4.2A13.
17B15.19B13.8B3.2B2A9B3D7B$33.2A6.9B14.15B16.17B17.8B.13BDBD9B$34.A7.
6B14.17B17.15B18.22BD11B$34.A.2A5.6B3.B2.2B2.22B13.17B17.15B.2B2.14BA
B$35.A2.A4.19BD21B3.2B2.22B13.17B8.10BABA$36.2AB3.6BD13BDBD4B.24BD21B
3.2B2.19B11.8BABA$37.9BDBD2B2A9B3D4B2.23BDBD4B.24BD15B12.8BA$38.9B2D
2B2A11BD4B2.23B3D4B2.23BDBD4B.7B12.10B$39.29B4.24BD4B2.23B3D13B11.9B$
39.17B.4B10.29B4.24BD14B10.8B$40.15B2.3B12.16B.4B10.29B2.8B12.7B$40.
21B11.12B5.3B12.16B.4B11.6B13.5B$41.13B5.A2B.2A7.9B6.4B13.12B5.3B12.
5B15.2B$43.13B2.A.A2B.A6.11B5.2A15.9B6.4B14.4B$42.8B4.2A.A.AB2.A8.7B.
B2A5.A14.11B5.2A16.3B$42.6B6.2ABA4.A11.4B2.BA.A.3A16.7B.B2A5.A17.4B$
42.5B8.B2.5A.A8.B2A2B5.A.A20.4B2.BA.A.3A20.2A$42.B.B5.2A.A.2A.A4.A.A
8.2A7.2A20.B2A2B5.A.A22.A$43.3B4.A.2A.A2.A.2A2.A41.2A7.2A24.3A$42.B2A
B11.2A.A.2A79.A$43.2A!
(And the gun even gets smaller, too! Not sure if there are other odd-step F conduits that could be used instead of the F131. F171 looks promising, but it's the same mod-8 rating as F131 so it might not produce anything new.)

I think the above is actually something like p3155+8N, maybe with N=1 missing. Stepping down mod 8 from 3187 to p3155, only 3163 is prime and we can't seem to get that one. Reducing the main loop by one cell diagonally drops the period by 16; ordinarily the NW31 inserter can then trombone-slide one step farther away to get +8, but when the two halves of the main loop are welded as close as possible there's no room left to make that adjustment. If I've done the mental math right, the next prime that this gun can be adjusted to hit is p3251.

What does the "adj" suffix mean on the gun names in the repository, by the way? Does it just mean basically "+8N"? If there are two possible adjustments like in the p3171+8N case, maybe it would actually make sense to notate it as "p3171+16M+8N".

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 10:00 am
by chris_c
I'm enjoying this thread although still pretty sure I would not want to add these guns to my collection at this stage.

Here is my entry for a multi-path gun that uses a period doubler. It is period 1731 and only slightly bigger than dvgrn's period 1181 gun in the other thread (the 1731 and 1181 are different mod 8 but I think the comparison is still valid).

Code: Select all

x = 110, y = 100, rule = LifeHistory
29.2A40.2A$28.A.A39.A.A$22.2A4.A35.2A4.A$20.A2.A2.2A.4A29.A2.A2.2A.4A
$20.2A.A.A.A.A2.A29.2A.A.A.A.A2.A$23.A.ABABAB34.A.ABABAB$23.A.AB2AB
35.A.AB2AB$24.AB.2B37.AB.2B$19.A7.3B39.3B$17.3A7.4B6.2A30.4B6.2A$16.A
8.3B2AB6.A29.3B2AB6.A$15.A.A7.3B2AB3.BA.A29.3B2AB3.BA.A$14.BA.A5.10B.
B2A28.10B.B2A$13.3BA5.13B29.13B$11.4B6.14B28.14B$9.6B5.15B27.15B$8.7B
4.4B2.8B28.4B2.8B$.B.4B.8B2.4B5.6B27.4B5.6B$2AB.17B4.9B25.4B4.9B$2A
18B5.2A4.4B23.4B5.2A4.4B$.2B.16B6.A5.4B21.4B7.A5.4B$4.16B3.3A7.4B19.
4B5.3A7.4B$5.15B3.A10.4B6.A10.4B6.A10.4B$6.12B.B2A.A11.4B5.3A7.4B19.
4B$6.11B2.BA.A.2A10.4B7.A5.4B21.4B$7.10B5.A2.A11.4B5.2A4.4B23.4B$7.6B
2A2B5.2A14.4B4.9B25.4B$7.6B2A3B21.4B5.6B27.4B$7.10B23.4B2.8B28.4B$3.A
.2AB.8B24.15B27.4B$.3AB2AB3.7B24.14B28.4B$A4.B6.6B25.13B29.4B$.3A.2A
4.6B27.10B.B2A19.A8.4B$3.2A2.A4.5B29.3B2AB3.BA.A16.3A9.4B$6.A.A.8B28.
3B2AB6.A15.A13.2B2A$2.A.2A.A.A8B30.4B6.2A14.2A13.2A2B$2.2A.A.BA2B.6B
7.2A21.3B20.5B14.BA2B$5.A2.2B2.7B6.A19.AB.2B19.5B17.4B10.2A$5.2A.B3.
7B3.BA.A18.A.AB2AB18.6B17.4B9.A$3.2A2.A.A2.8B2.B2A19.A.ABABAB3.2A11.
7B18.4B10.A$2.A2.A2.2A2.11B18.2A.A.A.A.A2.A2.A12.8B10.2A5.4B5.5A$3.2A
7.11B18.A2.A2.2A.6A6.A6.8B9.A.A5.4B4.A$12.11B20.2A4.A12.3A4.7B8.3A.A.
AB.7B2.B3A$13.11B25.A.A.A11.A2.7B.B6.A5.2AB.7B3.2B.A$16.7B11.2A14.2A.
3A8.2A3.B2A3B.2B5.2A6.12B4A$15.8B4.2A6.A20.A7.6B2A13B6.7B2A3BAB2.2A$
14.8B5.A6.A20.2A3.B5.17B8.7B2A2B.B3A2.A$15.7B2.BA.A6.2A19.8B2.15B2A2B
7.10B3.B.A.2A$14.9B.B2A8.B21.22BA2BA2B5.8B8.A$14.11B10.3B19.23B2A3B4.
9B7.2A$14.11B9.6B16.19B3.9B.4B2.3B$12.2AB.9B.B3.B2.10B11.21B4.12B3.5B
$11.A.AB2.27B3.2B2.25B4.10B7.2A$11.A5.20B2A30B4.4B3.9B8.A$10.2A5.20B
2A22B.6B6.4B.9B10.3A$17.44B2.B.5B5.4B.7B13.A$17.44B7.2A6.10B$15.45B8.
A8.8B$15.2A3.5B2.3B5.13B.4B16.3A6.6B$16.A3.6B3.3B3.7B.B4.4B19.A7.4B$
13.3A5.4B5.2A15.4B27.6B$13.A10.2B4.A3.A11.4B27.8B$23.BA2B4.4A10.4B27.
4B2.4B$23.A.A18.4B27.4B4.4B$24.A4.4A10.4B27.4B6.4B$29.A3.A8.4B27.4B8.
4B$32.2A7.4B27.4B10.4B$32.5B3.4B27.4B12.4B$34.3B2.4B27.4B14.4B$24.2A
7.9B27.4B16.4B$24.A8.8B27.4B18.4B$21.2A.A.B3.10B27.4B20.4B$21.A2.3AB.
2B2A7B26.4B22.4B$22.2A2.BA3B2A7B25.4B24.4B$24.4A12B24.4B26.4B$24.A.2B
3.7B.B2A21.4B28.4B$25.3AB2.7B.BA.A19.4B30.4B$28.A4.4B5.A18.4B32.4B$
23.5A5.4B5.2A4.A11.4B34.4B$23.A10.4B8.3A10.4B36.4B$25.A9.4B6.A12.4B
38.4B$24.2A10.4B5.2A10.4B40.4B$37.4B.5B9.4B42.4B$38.7B10.4B44.4B$34.
2A3.7B8.4B46.4B$34.A4.7BAB5.4B48.4B$36.A.7BABAB3.4B50.3BA$35.2A8B2A3B
.4B52.ABA$34.A3.16B54.2A$33.A.2A16B56.B$32.A2.A.AB.12B$32.2A2.AB3.10B
$42.9B2.2A$40.5B5.BA2.A$40.2A8.B3A$41.A6.A$38.3A7.4A$38.A12.A$50.A$
50.2A!
It is smaller in area than a p1731 gun that I knocked together by "adding more and more Snarks" (so the comment I made in this post is probably wrong).

Code: Select all

x = 210, y = 64, rule = LifeHistory
21.A11.A39.2A20.2A56.2A20.2A$21.3A7.3A38.A.A20.A.A54.A.A20.A.A$24.A5.
A35.2A4.A24.A4.2A42.2A4.A24.A4.2A$7.A15.2A5.2A32.A2.A2.2A.4A16.4A.2A
2.A2.A38.A2.A2.2A.4A16.4A.2A2.A2.A$7.3A13.B3.5B32.2A.A.A.A.A2.A16.A2.
A.A.A.A.2A38.2A.A.A.A.A2.A16.A2.A.A.A.A.2A$10.A9.4B2.4B37.A.ABABAB20.
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4B16.4B16.5B4.A2.2A$4.16B21.8B23.4B18.4B23.8B23.4B18.4B14.8B.A.A$.2B.
16B20.4B2.4B21.4B20.4B21.4B2.4B21.4B20.4B4.A8.8BA.A.3A$2A18B19.4B4.4B
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5.3A7.4B8.4B7.3A5.4B26.4B5.3A7.4B8.4B7.3A5.4B26.4B3.2A4.7B3.B.2A2.A.A
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3.11B2.2A2.2A.2A$11.4B6.4B4.9B14.9B4.4B32.4B4.9B14.9B4.4B32.4B.12B$
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9B11.3A$16.A8.14B12.14B40.14B12.14B38.12B9.A$17.3A6.13B12.13B42.13B
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29.3B2AB3.BA.A6.A.AB3.B2A3B48.3B2AB3.BA.A6.A.AB3.B2A3B34.3A3.23B$29.
3B2AB6.A6.A6.B2A3B48.3B2AB6.A6.A6.B2A3B37.A2.24B$31.4B6.2A4.2A6.4B52.
4B6.2A4.2A6.4B38.A.B.24B$31.3B22.3B52.3B22.3B38.2A27B$28.AB.2B24.2B.B
A46.AB.2B24.2B.BA33.2A2.A22B.4B$27.A.AB2AB22.B2ABA.A44.A.AB2AB22.B2AB
A.A31.A2.3A3B3.2B3.B7.2B3.4B$27.A.ABABAB20.BABABA.A44.A.ABABAB20.BABA
BA.A32.A4.2B3.4B.3B5.BA2B3.4B$24.2A.A.A.A.A2.A16.A2.A.A.A.A.2A38.2A.A
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4A.2A2.A2.A38.A2.A2.2A.4A16.4A.2A2.A2.A32.A7.2A3.2A6.A7.ABA$26.2A4.A
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33.2A20.2A56.2A20.2A!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 11:22 am
by dvgrn
chris_c wrote:... still pretty sure I would not want to add these guns to my collection at this stage.
That sounds very sensible. I like the p14-to-p1024 repository just the way it is. Unless a lot more people get interested in building four-digit-period guns and someone comes up with a completely automated system for collecting and verifying new contributions to the database, it's going to be a long^9 time before this collection is anywhere near as nicely optimized as the smaller guns are.

Speaking of automated gun-building, though, how difficult would it be to generate a one-off README for periods from 1025-9999, using your collection's variable guns? I think all I'd have to do is feed a README like that into my gun-builder script, and it would pretty much be able to create a working gun for every period.

They'd almost all be horribly oversized guns, of course, except for a few below 1200 that might look relatively reasonable. Still, it might be interesting to see what they look like, and at what period they stop being competitive with the multi-path/resettable-loop guns. It would be nice to have an upper bound on size for each prime period, especially for periods near 9999 where the only estimate we have now is from a gun built with your universal script.

EDIT: It looks like the README might not be too useful for periods above 1702. The universal gun-builder script produces what seem like fairly reasonable upper-bound sizes. Not sure how many variable guns are going to be able to beat these numbers once they're adjusted to sizes that are ridiculously far out of the ranges they were designed for:

Code: Select all

[1709, 223, 179, 39917]
[1721, 219, 186, 40734]
[1723, 228, 182, 41496]
[1733, 226, 182, 41132]
[1741, 227, 183, 41541]
[1747, 231, 185, 42735]
[1753, 223, 190, 42370]
[1759, 225, 194, 43650]
[1777, 226, 193, 43618]
[1783, 228, 197, 44916]
[1787, 236, 190, 44840]
[1789, 233, 189, 44037]
[1801, 229, 196, 44884]
[1811, 239, 193, 46127]
[1823, 233, 202, 47066]
[1831, 234, 203, 47502]
[1847, 236, 205, 48380]
[1861, 242, 198, 47916]
[1867, 246, 200, 49200]
[1871, 239, 208, 49712]
[1873, 238, 205, 48790]
[1877, 244, 200, 48800]
[1879, 240, 209, 50160]
[1889, 240, 207, 49680]
[1901, 247, 203, 50141]
[1907, 251, 205, 51455]
[1913, 243, 210, 51030]
[1931, 254, 208, 52832]
[1933, 251, 207, 51957]
[1949, 253, 209, 52877]
[1951, 249, 218, 54282]
[1973, 256, 212, 54272]
[1979, 260, 214, 55640]
[1987, 261, 215, 56115]
[1993, 253, 220, 55660]
[1997, 259, 215, 55685]
[1999, 255, 224, 57120]
[2003, 263, 217, 57071]
[2011, 264, 218, 57552]
[2017, 256, 223, 57088]
[2027, 266, 220, 58520]
[2029, 263, 219, 57597]
[2039, 260, 229, 59540]
[2053, 266, 222, 59052]
[2063, 263, 232, 61016]
[2069, 268, 224, 60032]
[2081, 264, 231, 60984]
[2083, 273, 227, 61971]
[2087, 266, 235, 62510]
[2089, 265, 232, 61480]
[2099, 275, 229, 62975]
[2111, 269, 238, 64022]
[2113, 268, 235, 62980]
[2129, 270, 237, 63990]
[2131, 279, 233, 65007]
[2137, 271, 238, 64498]
[2141, 277, 233, 64541]
[2143, 273, 242, 66066]
[2153, 273, 240, 65520]
[2161, 274, 241, 66034]
[2179, 285, 239, 68115]
[2203, 288, 242, 69696]
[2207, 281, 250, 70250]
[2213, 286, 242, 69212]
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[2237, 289, 245, 70805]
[2239, 285, 254, 72390]
[2243, 293, 247, 72371]
[2251, 294, 248, 72912]
[2267, 296, 250, 74000]
[2269, 293, 249, 72957]
[2273, 288, 255, 73440]
[2281, 289, 256, 73984]
[2287, 291, 260, 75660]
[2293, 296, 252, 74592]
[2297, 291, 258, 75078]
[2309, 298, 254, 75692]
[2311, 294, 263, 77322]
[2333, 283, 180, 50940]
[2339, 287, 182, 52234]
[2341, 284, 181, 51404]
[2347, 288, 183, 52704]
[2351, 281, 191, 53671]
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[2371, 291, 186, 54126]
[2377, 283, 191, 54053]
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[2579, 317, 212, 67204]
[2591, 311, 221, 68731]
[2593, 310, 218, 67580]
[2609, 312, 220, 68640]
[2617, 313, 221, 69173]
[2621, 319, 216, 68904]
[2633, 315, 223, 70245]
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[2657, 318, 226, 71868]
[2659, 327, 222, 72594]
[2663, 320, 230, 73600]
[2671, 321, 231, 74151]
[2677, 326, 223, 72698]
[2683, 330, 225, 74250]
[2687, 323, 233, 75259]
[2689, 322, 230, 74060]
[2693, 328, 225, 73800]
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[2707, 333, 228, 75924]
[2711, 326, 236, 76936]
[2713, 325, 233, 75725]
[2719, 327, 237, 77499]
[2729, 327, 235, 76845]
[2731, 336, 231, 77616]
[2741, 334, 231, 77154]
[2749, 335, 232, 77720]
[2753, 330, 238, 78540]
[2767, 333, 243, 80919]
[2777, 333, 241, 80253]
[2789, 340, 237, 80580]
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[3413, 341, 238, 81158]
[3433, 338, 246, 83148]
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Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 11:29 am
by googleplex
Note:
This edgeshooter could be quite useful, as it takes a relatively long time to release its glider:

Code: Select all

x = 38, y = 41, rule = LifeHistory
2$11.2A$12.A$6.A5.A.2A5.2A$6.3A4.A.A5.A$9.A4.B8.A$8.2A3.3B6.2A$8.10B.
2B$10.12B2A$9.12BA.A$8.13B.A$7.6BD6B3.3A$8.5BDBD4B5.A$8.5B3D4B$7.8BD
4B$7.13B$8.11B$8.11B$7.11B$6.13B$5.13B10.3B$5.13B9.4B$5.13B8.4B$6.12B
7.4B$5.13B6.4B$5.14B4.4B$6.13B3.4B$7.13B.4B$8.11B.4B$9.14B$9.14B$11.
11B$12.9B$10.10B$10.2A4.4B$11.A6.B$8.3A$8.A!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 11:32 am
by dvgrn
googleplex wrote:Note:
This edgeshooter could be quite useful, as it takes a relatively long time to release its glider...
Unfortunately that's not quite an edge shooter. That is, it's an edge shooter in the sense that you can use it to add a new glider within a few lanes of a passing glider salvo, but it's not a merge circuit -- the eater in the south gets in the way of a passing glider on the output lane.

Attached is an archive of 963 gun patterns for primes in the range 1709 - 9973, generated by chris_c's universal gun-builder script. No point in building anything if it's going to end up bigger than one of these:
fourdigitprimegunsabove1702.zip
963 guns from chris_c's universal gun-builder script
(1.14 MiB) Downloaded 775 times
In fact, the limit should be considerably lower than this. It looks like all of these guns could easily be optimized by adding pairs of Snarks to fold in the points of the delay loop in the southeast (and then reduce the size of the delay loop by one diagonal cell per Snark pair, to keep the timing the same).

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 1:16 pm
by chris_c
dvgrn wrote: Speaking of automated gun-building, though, how difficult would it be to generate a one-off README for periods from 1025-9999, using your collection's variable guns?
Here is 1025-4999:

Code: Select all

1025 (7344, 'p00559x5_7')
1026 (6300, 'p00441x2_9')
1027 (7688, 'p00867_20')
1028 (4644, 'p00482x2_4')
1029 (6006, 'p00662x3_3')
1030 (6232, 'p00443x2_9')
1031 (8064, 'p00863_21')
1032 (4992, 'p00436x2_10')
1033 (7865, 'p00905_16')
1034 (6900, 'p00485x2_4')
1035 (3850, 'p00345x3_0')
1036 (6640, 'p00358x2_20')
1037 (7938, 'p00853_23')
1038 (7728, 'p00556x3_17')
1039 (8255, 'p00863_22')
1040 (5092, 'p00358x8_4')
1041 (6164, 'p00662x3_4')
1042 (6461, 'p00441x2_10')
1043 (7938, 'p00867_22')
1044 (4785, 'p00482x2_5')
1045 (7500, 'p00845osc5_25')
1046 (6391, 'p00443x2_10')
1047 (6858, 'p00698x3_0')
1048 (5135, 'p00436x2_11')
1049 (7995, 'p00905_18')
1050 (3710, 'p00350osc5x3_0')
1051 (8001, 'p00867_23')
1052 (6804, 'p00358x2_21')
1053 (5336, 'p00436x9_4')
1054 (8142, 'p00886_21')
1055 (6068, 'p00358x5_8')
1056 (5046, 'p00504osc6x2_3')
1057 (8060, 'p00905_19')
1058 (6624, 'p00441x2_11')
1059 (3976, 'p00345x3_1')
1060 (4928, 'p00482x2_6')
1061 (8256, 'p00853_26')
1062 (6552, 'p00443x2_11')
1063 (8580, 'p00863_25')
1064 (5280, 'p00436x2_12')
1065 (6486, 'p00662x3_6')
1066 (7242, 'p00485x2_6')
1067 (8245, 'p00827_30')
1068 (4284, 'p00356x3_0')
1069 (8450, 'p00853_27')
1070 (6630, 'p00455osc5x2_10')
1071 (5487, 'p00436x9_5')
1072 (5220, 'p00488osc8x2_6')
1073 (8190, 'p00905_21')
1074 (3648, 'p00358x3_0')
1075 (6225, 'p00358x5_9')
1076 (5073, 'p00482x2_7')
1077 (6650, 'p00662x3_7')
1078 (6715, 'p00443x2_12')
1079 (8712, 'p00863_27')
1080 (5427, 'p00436x2_13')
1081 (8255, 'p00905_22')
1082 (7416, 'p00485x2_7')
1083 (4104, 'p00345x3_2')
1084 (7138, 'p00358x2_23')
1085 (7930, 'p00845osc5_30')
1086 (8432, 'p00942_18')
1087 (8911, 'p00863_28')
1088 (5369, 'p00488osc8x2_7')
1089 (5640, 'p00436x9_6')
1090 (5022, 'p00436x5_0')
1091 (8580, 'p00867_28')
1092 (4416, 'p00356x3_1')
1093 (8778, 'p00853_30')
1094 (6880, 'p00443x2_13')
1095 (6384, 'p00358x5_10')
1096 (5576, 'p00436x2_14')
1097 (8385, 'p00905_24')
1098 (3770, 'p00358x3_1')
1099 (8613, 'p00827_34')
1100 (7308, 'p00358x2_24')
1101 (6984, 'p00662x3_9')
1102 (8568, 'p00942_20')
1103 (9045, 'p00863_30')
1104 (5429, 'p00504osc48x2_6')
1105 (8424, 'p00559x5_13')
1106 (7125, 'p00441x2_14')
1107 (4234, 'p00345x3_3')
1108 (5369, 'p00482x2_9')
1109 (8910, 'p00853_32')
1110 (5170, 'p00436x5_1')
1111 (9248, 'p00863_31')
1112 (5265, 'p00556x2_0')
1113 (7154, 'p00662x3_10')
1114 (7770, 'p00485x2_9')
1115 (6545, 'p00358x5_11')
1116 (4550, 'p00356x3_2')
1117 (9112, 'p00853_33')
1118 (6510, 'p00559x2_0')
1119 (7980, 'p00698x3_6')
1120 (5673, 'p00488osc8x2_9')
1121 (8712, 'p00905_27')
1122 (3894, 'p00358x3_2')
1123 (8976, 'p00867_32')
1124 (5520, 'p00482x2_10')
1125 (5952, 'p00436x9_8')
1126 (7216, 'p00443x2_15')
1127 (8686, 'p00847osc7_35')
1128 (5412, 'p00556x2_1')
1129 (8911, 'p00905_28')
1130 (5320, 'p00436x5_2')
1131 (4366, 'p00345x3_4')
1132 (7654, 'p00358x2_26')
1133 (9246, 'p00853_35')
1134 (6580, 'p00559x2_1')
1135 (6708, 'p00358x5_12')
1136 (5828, 'p00488osc8x2_10')
1137 (7500, 'p00662x3_12')
1138 (7469, 'p00441x2_16')
1139 (9180, 'p00827_39')
1140 (4466, 'p00380osc15x3_0')
1141 (9042, 'p00861osc7_35')
1142 (6532, 'p00571x2_0')
1143 (6111, 'p00436x9_9')
1144 (5561, 'p00556x2_2')
1145 (8991, 'p00559x5_16')
1146 (4020, 'p00358x3_3')
1147 (9180, 'p00827_40')
1148 (7830, 'p00358x2_27')
1149 (7676, 'p00662x3_13')
1150 (5472, 'p00436x5_3')
1151 (9729, 'p00863_36')
1152 (5952, 'p00504osc6x2_9')
1153 (9248, 'p00905_31')
1154 (6441, 'p00577x2_0')
1155 (4312, 'p00385osc15x3_0')
1156 (5828, 'p00482x2_12')
1157 (9588, 'p00853_38')
1158 (6603, 'p00571x2_1')
1159 (9940, 'p00863_37')
1160 (5712, 'p00556x2_3')
1161 (6272, 'p00436x9_10')
1162 (8181, 'p00413osc7x2_21')
1163 (9373, 'p00827_42')
1164 (4824, 'p00356x3_4')
1165 (9100, 'p00845osc5_40')
1166 (6720, 'p00559x2_3')
1167 (8768, 'p00698x3_10')
1168 (5986, 'p00358x8_10')
1169 (9384, 'p00905_33')
1170 (4148, 'p00358x3_4')
1171 (9568, 'p00827_43')
1172 (5985, 'p00482x2_13')
1173 (8034, 'p00662x3_15')
1174 (6674, 'p00571x2_2')
1175 (7040, 'p00358x5_14')
1176 (5865, 'p00556x2_4')
1177 (9591, 'p00905_34')
1178 (8502, 'p00485x2_13')
1179 (4636, 'p00345x3_6')
1180 (8188, 'p00358x2_29')
1181 (9936, 'p00853_41')
1182 (6790, 'p00559x2_4')
1183 (9360, 'p00847osc7_42')
1184 (5980, 'p00592x2_0')
1185 (8216, 'p00662x3_16')
1186 (6555, 'p00577x2_2')
1187 (9765, 'p00827_45')
1188 (4964, 'p00356x3_5')
1189 (10150, 'p00853_42')
1190 (5782, 'p00436x5_5')
1191 (9174, 'p00698x3_12')
1192 (6020, 'p00556x2_5')
1193 (9729, 'p00905_36')
1194 (4278, 'p00358x3_5')
1195 (7209, 'p00358x5_15')
1196 (8370, 'p00358x2_30')
1197 (5200, 'p00399osc7x3_0')
1198 (6860, 'p00559x2_5')
1199 (10437, 'p00863_42')
1200 (6138, 'p00592x2_1')
1201 (9940, 'p00905_37')
1202 (6612, 'p00577x2_3')
1203 (4774, 'p00345x3_7')
1204 (6305, 'p00482x2_15')
1205 (5100, 'p00482x5_0')
1206 (6816, 'p00571x2_4')
1207 (10656, 'p00863_43')
1208 (6177, 'p00556x2_6')
1209 (8586, 'p00662x3_18')
1210 (5940, 'p00436x5_6')
1211 (9964, 'p00827_48')
1212 (5106, 'p00356x3_6')
1213 (10508, 'p00853_45')
1214 (7029, 'p00559x2_6')
1215 (4560, 'p00405osc9x3_0')
1216 (6298, 'p00592x2_2')
1217 (10080, 'p00905_39')
1218 (4410, 'p00358x3_6')
1219 (10165, 'p00827_49')
1220 (6408, 'p00610x2_0')
1221 (8774, 'p00662x3_19')
1222 (6887, 'p00571x2_5')
1223 (10800, 'p00863_45')
1224 (6336, 'p00556x2_7')
1225 (5253, 'p00482x5_1')
1226 (9072, 'p00485x2_16')
1227 (4914, 'p00345x3_8')
1228 (8740, 'p00358x2_32')
1229 (10650, 'p00853_47')
1230 (6100, 'p00436x5_7')
1231 (11023, 'p00863_46')
1232 (6460, 'p00358x8_13')
1233 (6936, 'p00436x9_14')
1234 (6726, 'p00577x2_5')
1235 (7553, 'p00358x5_17')
1236 (5250, 'p00356x3_7')
1237 (10872, 'p00853_48')
1238 (6958, 'p00571x2_6')
1239 (10010, 'p00698x3_16')
1240 (5580, 'p00620x2_0')
1241 (10437, 'p00905_42')
1242 (4544, 'p00358x3_7')
1243 (10368, 'p00827_52')
1244 (8928, 'p00358x2_33')
1245 (5408, 'p00482x5_2')
1246 (7373, 'p00559x2_8')
1247 (11169, 'p00863_48')
1248 (6624, 'p00592x2_4')
1249 (10656, 'p00905_43')
1250 (6262, 'p00436x5_8')
1251 (5056, 'p00345x3_9')
1252 (6174, 'p00618x2_1')
1253 (10545, 'p00861osc7b_49')
1254 (4104, 'p00418x3_0')
1255 (7728, 'p00358x5_18')
1256 (5733, 'p00620x2_1')
1257 (9350, 'p00662x3_22')
1258 (9462, 'p00485x2_18')
1259 (10573, 'p00827_54')
1260 (5396, 'p00356x3_8')
1261 (11242, 'p00853_51')
1262 (7548, 'p00559x2_9')
1263 (10440, 'p00698x3_18')
1264 (6790, 'p00592x2_5')
1265 (5565, 'p00482x5_3')
1266 (4680, 'p00358x3_8')
1267 (10780, 'p00827_55')
1268 (6237, 'p00618x2_2')
1269 (7280, 'p00436x9_16')
1270 (6426, 'p00436x5_9')
1271 (11544, 'p00863_51')
1272 (5888, 'p00620x2_2')
1273 (11023, 'p00905_46')
1274 (9504, 'p00413osc7x2_28')
1275 (5002, 'p00385osc15x3_5')
1276 (9310, 'p00358x2_35')
1277 (11388, 'p00853_53')
1278 (4235, 'p00418x3_1')
1279 (11682, 'p00991_36')
1280 (6958, 'p00592x2_6')
1281 (9744, 'p00662x3_24')
1282 (7018, 'p00577x2_8')
1283 (10989, 'p00827_57')
1284 (5544, 'p00356x3_9')
1285 (5724, 'p00482x5_4')
1286 (7171, 'p00571x2_9')
1287 (7455, 'p00436x9_17')
1288 (6045, 'p00620x2_3')
1289 (11169, 'p00905_48')
1290 (4662, 'p00430osc15x3_0')
1291 (10989, 'p00827_58')
1292 (9504, 'p00358x2_36')
1293 (9944, 'p00662x3_25')
1294 (7904, 'p00559x2_11')
1295 (8084, 'p00358x5_20')
1296 (6200, 'p00424osc8x3_1')
1297 (11396, 'p00905_49')
1298 (7198, 'p00577x2_9')
1299 (5346, 'p00345x3_11')
1300 (6363, 'p00618x2_4')
1301 (11766, 'p00853_56')
1302 (4368, 'p00418x3_2')
1303 (12060, 'p00991_39')
1304 (6204, 'p00620x2_4')
1305 (5885, 'p00482x5_5')
1306 (10062, 'p00485x2_21')
1307 (11200, 'p00827_60')
1308 (4158, 'p00436x3_0')
1309 (11286, 'p00861osc7b_56')
1310 (6760, 'p00436x5_11')
1311 (11324, 'p00698x3_22')
1312 (7300, 'p00592x2_8')
1313 (11544, 'p00905_51')
1314 (4958, 'p00358x3_10')
1315 (8265, 'p00358x5_21')
1316 (6426, 'p00618x2_5')
1317 (10350, 'p00662x3_27')
1318 (7313, 'p00571x2_11')
1319 (12312, 'p00863_57')
1320 (6363, 'p00424osc8x3_2')
1321 (11775, 'p00905_52')
1322 (10266, 'p00485x2_22')
1323 (5494, 'p00345x3_12')
1324 (7176, 'p00654x2_1')
1325 (6048, 'p00482x5_6')
1326 (4503, 'p00418x3_3')
1327 (12444, 'p00991_42')
1328 (5148, 'p00482x8_2')
1329 (10556, 'p00662x3_28')
1330 (6930, 'p00436x5_12')
1331 (11628, 'p00827_63')
1332 (4290, 'p00436x3_1')
1333 (12388, 'p00853_60')
1334 (7384, 'p00571x2_12')
1335 (8448, 'p00358x5_22')
1336 (6528, 'p00620x2_6')
1337 (11925, 'p00905_54')
1338 (5100, 'p00358x3_11')
1339 (11628, 'p00827_64')
1340 (7350, 'p00654x2_2')
1341 (7992, 'p00436x9_20')
1342 (8453, 'p00559x2_14')
1343 (12705, 'p00863_60')
1344 (4422, 'p00448x3_0')
1345 (6213, 'p00482x5_7')
1346 (6993, 'p00673x2_0')
1347 (5644, 'p00345x3_13')
1348 (6552, 'p00618x2_7')
1349 (12540, 'p00853_62')
1350 (4640, 'p00418x3_4')
1351 (11500, 'p00847osc7_63')
1352 (6693, 'p00620x2_7')
1353 (10974, 'p00662x3_30')
1354 (10680, 'p00485x2_24')
1355 (8633, 'p00358x5_23')
1356 (4424, 'p00436x3_2')
1357 (12782, 'p00853_63')
1358 (8640, 'p00559x2_15')
1359 (8175, 'p00436x9_21')
1360 (7462, 'p00358x8_19')
1361 (12312, 'p00905_57')
1362 (5244, 'p00358x3_12')
1363 (12064, 'p00827_67')
1364 (6615, 'p00618x2_8')
1365 (6003, 'p00399osc7x3_7')
1366 (7526, 'p00571x2_14')
1367 (13104, 'p00863_63')
1368 (4556, 'p00448x3_1')
1369 (12551, 'p00905_58')
1370 (7276, 'p00436x5_14')
1371 (5796, 'p00345x3_14')
1372 (7704, 'p00654x2_4')
1373 (12936, 'p00853_65')
1374 (4779, 'p00418x3_5')
1375 (8820, 'p00358x5_24')
1376 (8008, 'p00592x2_12')
1377 (8360, 'p00436x9_22')
1378 (7119, 'p00673x2_2')
1379 (12285, 'p00827_69')
1380 (4560, 'p00436x3_3')
1381 (13182, 'p00853_66')
1382 (7597, 'p00571x2_15')
1383 (12710, 'p00698x3_28')
1384 (7029, 'p00620x2_9')
1385 (6549, 'p00482x5_9')
1386 (5390, 'p00358x3_13')
1387 (12285, 'p00827_70')
1388 (7210, 'p00694x2_0')
1389 (11616, 'p00662x3_33')
1390 (7452, 'p00436x5_15')
1391 (13509, 'p00863_66')
1392 (4692, 'p00448x3_2')
1393 (12948, 'p00905_61')
1394 (7182, 'p00673x2_3')
1395 (5950, 'p00345x3_15')
1396 (6210, 'p00698x2_0')
1397 (13338, 'p00853_68')
1398 (4920, 'p00418x3_6')
1399 (13632, 'p00991_51')
1400 (7200, 'p00620x2_10')
1401 (11834, 'p00662x3_34')
1402 (11316, 'p00485x2_27')
1403 (12508, 'p00827_72')
1404 (4698, 'p00436x3_4')
1405 (6720, 'p00482x5_10')
1406 (9213, 'p00559x2_18')
1407 (12272, 'p00847osc7_70')
1408 (8374, 'p00592x2_14')
1409 (13104, 'p00905_63')
1410 (5372, 'p00430osc15x3_5')
1411 (12733, 'p00827_73')
1412 (5040, 'p00345x4_1')
1413 (8736, 'p00436x9_24')
1414 (7739, 'p00571x2_17')
1415 (9200, 'p00358x5_26')
1416 (4830, 'p00448x3_3')
1417 (13351, 'p00905_64')
1418 (11532, 'p00485x2_28')
1419 (6106, 'p00345x3_16')
1420 (7560, 'p00694x2_2')
1421 (12826, 'p00861osc7b_70')
1422 (5063, 'p00418x3_7')
1423 (14040, 'p00991_54')
1424 (7990, 'p00358x8_22')
1425 (6893, 'p00482x5_11')
1426 (7308, 'p00673x2_5')
1427 (12960, 'p00827_75')
1428 (4838, 'p00436x3_5')
1429 (14000, 'p00853_72')
1430 (7810, 'p00436x5_17')
1431 (5780, 'p00405osc9x3_9')
1432 (4221, 'p00358x4_0')
1433 (13509, 'p00905_66')
1434 (5688, 'p00358x3_15')
1435 (9393, 'p00358x5_27')
1436 (7384, 'p00718x2_0')
1437 (12500, 'p00662x3_37')
1438 (9605, 'p00559x2_20')
1439 (14337, 'p00863_72')
1440 (4970, 'p00448x3_4')
1441 (13760, 'p00905_67')
1442 (7371, 'p00673x2_6')
1443 (6264, 'p00345x3_17')
1444 (5187, 'p00345x4_2')
1445 (7068, 'p00482x5_12')
1446 (4300, 'p00482x3_0')
1447 (14454, 'p00991_57')
1448 (7725, 'p00620x2_13')
1449 (9120, 'p00436x9_26')
1450 (7992, 'p00436x5_18')
1451 (13189, 'p00827_78')
1452 (4980, 'p00436x3_6')
1453 (14418, 'p00853_75')
1454 (9804, 'p00559x2_21')
1455 (9588, 'p00358x5_28')
1456 (6090, 'p00482x8_8')
1457 (13920, 'p00905_69')
1458 (5840, 'p00358x3_16')
1459 (13420, 'p00827_79')
1460 (6902, 'p00698x2_4')
1461 (12954, 'p00662x3_39')
1462 (7952, 'p00571x2_20')
1463 (13054, 'p00847osc7_77')
1464 (4352, 'p00358x4_1')
1465 (7245, 'p00482x5_13')
1466 (12192, 'p00485x2_31')
1467 (6424, 'p00345x3_18')
1468 (7526, 'p00718x2_2')
1469 (14580, 'p00853_77')
1470 (4182, 'p00490osc15x3_0')
1471 (14874, 'p00991_60')
1472 (9130, 'p00592x2_18')
1473 (13184, 'p00662x3_40')
1474 (7497, 'p00673x2_8')
1475 (9785, 'p00358x5_29')
1476 (5124, 'p00436x3_7')
1477 (13625, 'p00861osc7b_77')
1478 (8023, 'p00571x2_21')
1479 (14670, 'p00698x3_36')
1480 (8085, 'p00620x2_15')
1481 (14337, 'p00905_72')
1482 (5994, 'p00358x3_17')
1483 (13653, 'p00827_82')
1484 (5168, 'p00363x4_1')
1485 (7424, 'p00482x5_14')
1486 (10208, 'p00559x2_23')
1487 (15189, 'p00863_78')
1488 (5256, 'p00448x3_6')
1489 (14596, 'p00905_73')
1490 (7560, 'p00673x2_9')
1491 (6586, 'p00345x3_19')
1492 (7260, 'p00698x2_6')
1493 (15006, 'p00853_80')
1494 (4576, 'p00482x3_2')
1495 (9984, 'p00358x5_30')
1496 (4485, 'p00358x4_2')
1497 (13650, 'p00662x3_42')
1498 (12444, 'p00413osc7x2_42')
1499 (13888, 'p00827_84')
1500 (5270, 'p00436x3_8')
1501 (15272, 'p00853_81')
1502 (10413, 'p00559x2_24')
1503 (9711, 'p00436x9_29')
1504 (9520, 'p00592x2_20')
1505 (7605, 'p00482x5_15')
1506 (6150, 'p00358x3_18')
1507 (14125, 'p00827_85')
1508 (5487, 'p00345x4_4')
1509 (13886, 'p00662x3_43')
1510 (8280, 'p00571x2_23')
1511 (15624, 'p00863_81')
1512 (5402, 'p00448x3_7')
1513 (15023, 'p00905_76')
1514 (12870, 'p00485x2_34')
1515 (6532, 'p00385osc15x3_15')
1516 (5313, 'p00363x4_2')
1517 (15438, 'p00853_83')
1518 (4717, 'p00482x3_3')
1519 (13875, 'p00847osc7_84')
1520 (6588, 'p00482x8_11')
1521 (9912, 'p00436x9_30')
1522 (7686, 'p00673x2_11')
1523 (14364, 'p00827_87')
1524 (5418, 'p00436x3_9')
1525 (7788, 'p00482x5_16')
1526 (8352, 'p00571x2_24')
1527 (15698, 'p00698x3_40')
1528 (4620, 'p00358x4_3')
1529 (15189, 'p00905_78')
1530 (6308, 'p00358x3_19')
1531 (14364, 'p00827_88')
1532 (7810, 'p00718x2_6')
1533 (7144, 'p00399osc7x3_14')
1534 (10829, 'p00559x2_26')
1535 (10388, 'p00358x5_32')
1536 (5550, 'p00448x3_8')
1537 (15456, 'p00905_79')
1538 (7749, 'p00673x2_12')
1539 (6916, 'p00345x3_21')
1540 (5640, 'p00345x4_5')
1541 (15876, 'p00853_86')
1542 (4860, 'p00482x3_4')
1543 (16170, 'p00991_69')
1544 (8829, 'p00620x2_19')
1545 (7973, 'p00482x5_17')
1546 (13332, 'p00485x2_36')
1547 (14605, 'p00827_90')
1548 (5460, 'p00363x4_3')
1549 (16150, 'p00853_87')
1550 (8932, 'p00436x5_23')
1551 (16224, 'p00698x3_42')
1552 (9100, 'p00358x8_28')
1553 (15624, 'p00905_81')
1554 (5355, 'p00518osc7x3_0')
1555 (10593, 'p00358x5_33')
1556 (7956, 'p00618x2_20')
1557 (10320, 'p00436x9_32')
1558 (8614, 'p00571x2_26')
1559 (16512, 'p00863_87')
1560 (4757, 'p00358x4_4')
1561 (15895, 'p00905_82')
1562 (13566, 'p00485x2_37')
1563 (7084, 'p00345x3_22')
1564 (7952, 'p00718x2_8')
1565 (8160, 'p00482x5_18')
1566 (5005, 'p00482x3_5')
1567 (16614, 'p00991_72')
1568 (5280, 'p00392x4_0')
1569 (15096, 'p00662x3_48')
1570 (8000, 'p00673x2_14')
1571 (15093, 'p00827_93')
1572 (5720, 'p00436x3_11')
1573 (16598, 'p00853_90')
1574 (8806, 'p00571x2_27')
1575 (10527, 'p00436x9_33')
1576 (9213, 'p00620x2_21')
1577 (16065, 'p00905_84')
1578 (6630, 'p00358x3_21')
1579 (15093, 'p00827_94')
1580 (5609, 'p00363x4_4')
1581 (15344, 'p00662x3_49')
1582 (11468, 'p00559x2_29')
1583 (16965, 'p00863_90')
1584 (5852, 'p00448x3_10')
1585 (8349, 'p00482x5_19')
1586 (8064, 'p00673x2_15')
1587 (7254, 'p00345x3_23')
1588 (8211, 'p00618x2_22')
1589 (15312, 'p00861osc7b_91')
1590 (4872, 'p00490osc15x3_5')
1591 (17064, 'p00991_75')
1592 (4896, 'p00358x4_5')
1593 (10736, 'p00436x9_34')
1594 (14040, 'p00485x2_39')
1595 (11009, 'p00358x5_35')
1596 (5874, 'p00436x3_12')
1597 (17052, 'p00853_93')
1598 (11685, 'p00559x2_30')
1599 (17143, 'p00991_76')
1600 (5340, 'p00392x4_1')
1601 (16512, 'p00905_87')
1602 (6048, 'p00534x3_0')
1603 (15589, 'p00827_97')
1604 (5952, 'p00345x4_7')
1605 (8540, 'p00482x5_20')
1606 (9075, 'p00571x2_29')
1607 (17424, 'p00863_93')
1608 (6006, 'p00448x3_11')
1609 (16791, 'p00905_88')
1610 (9520, 'p00436x5_26')
1611 (7426, 'p00345x3_24')
1612 (5760, 'p00363x4_5')
1613 (17226, 'p00853_95')
1614 (5301, 'p00482x3_7')
1615 (11220, 'p00358x5_36')
1616 (9682, 'p00358x8_31')
1617 (13485, 'p00518osc7x3_70')
1618 (8320, 'p00673x2_17')
1619 (15840, 'p00827_99')
1620 (6030, 'p00436x3_13')
1621 (17512, 'p00853_96')
1622 (9150, 'p00571x2_30')
1623 (17600, 'p00991_79')
1624 (5037, 'p00358x4_6')
1625 (8733, 'p00482x5_21')
1626 (6205, 'p00534x3_1')
1627 (15840, 'p00827_100')
1628 (8352, 'p00718x2_12')
1629 (11160, 'p00436x9_36')
1630 (9720, 'p00436x5_27')
1631 (15576, 'p00847osc7_98')
1632 (5490, 'p00392x4_2')
1633 (17248, 'p00905_91')
1634 (8514, 'p00673x2_18')
1635 (7372, 'p00385osc15x3_20')
1636 (6111, 'p00345x4_8')
1637 (17688, 'p00853_98')
1638 (5452, 'p00482x3_8')
1639 (17982, 'p00991_81')
1640 (10005, 'p00620x2_25')
1641 (16614, 'p00662x3_54')
1642 (14766, 'p00485x2_42')
1643 (16093, 'p00827_102')
1644 (5913, 'p00363x4_6')
1645 (8928, 'p00482x5_22')
1646 (12348, 'p00559x2_33')
1647 (7238, 'p00405osc9x3_18')
1648 (7638, 'p00482x8_17')
1649 (17424, 'p00905_93')
1650 (5544, 'p00550osc5x3_0')
1651 (16348, 'p00827_103')
1652 (8733, 'p00618x2_26')
1653 (16874, 'p00662x3_55')
1654 (9424, 'p00571x2_32')
1655 (11648, 'p00358x5_38')
1656 (5180, 'p00358x4_7')
1657 (17711, 'p00905_94')
1658 (15012, 'p00485x2_43')
1659 (7776, 'p00345x3_26')
1660 (8614, 'p00718x2_14')
1661 (18156, 'p00853_101')
1662 (5605, 'p00482x3_9')
1663 (18450, 'p00991_84')
1664 (5642, 'p00392x4_3')
1665 (9125, 'p00482x5_23')
1666 (8777, 'p00673x2_20')
1667 (16605, 'p00827_105')
1668 (5025, 'p00556x3_0')
1669 (18450, 'p00853_102')
1670 (9625, 'p00571x2_33')
1671 (18532, 'p00991_85')
1672 (4914, 'p00418x4_0')
1673 (17889, 'p00905_96')
1674 (5670, 'p00558osc9x3_0')
1675 (11865, 'p00358x5_39')
1676 (6068, 'p00363x4_7')
1677 (17400, 'p00662x3_57')
1678 (12800, 'p00559x2_35')
1679 (18837, 'p00863_102')
1680 (6480, 'p00448x3_14')
1681 (18180, 'p00905_97')
1682 (8844, 'p00673x2_21')
1683 (7954, 'p00345x3_27')
1684 (9000, 'p00618x2_28')
1685 (9324, 'p00482x5_24')
1686 (5760, 'p00482x3_10')
1687 (16456, 'p00847osc7_105')
1688 (5325, 'p00358x4_8')
1689 (17666, 'p00662x3_58')
1690 (10332, 'p00436x5_30')
1691 (16864, 'p00827_108')
1692 (5168, 'p00556x3_1')
1693 (18928, 'p00853_105')
1694 (13029, 'p00559x2_36')
1695 (12084, 'p00358x5_40')
1696 (5796, 'p00392x4_4')
1697 (18360, 'p00905_99')
1698 (6688, 'p00534x3_4')
1699 (17125, 'p00827_109')
1700 (6435, 'p00345x4_10')
1701 (8383, 'p00399osc7x3_21')
1702 (9906, 'p00571x2_35')
1703 (19320, 'p00863_105')
1704 (5060, 'p00418x4_1')
1705 (9525, 'p00482x5_25')
1706 (15762, 'p00485x2_46')
1707 (8134, 'p00345x3_28')
1708 (6225, 'p00363x4_8')
1709 (19110, 'p00853_107')
1710 (5917, 'p00482x3_11')
1711 (19404, 'p00991_90')
1712 (8190, 'p00482x8_20')
1713 (18204, 'p00662x3_60')
1714 (9112, 'p00673x2_23')
1715 (12305, 'p00358x5_41')
1716 (5313, 'p00556x3_2')
1717 (19412, 'p00853_108')
1718 (9984, 'p00571x2_36')
1719 (12255, 'p00436x9_41')
1720 (5472, 'p00358x4_9')
1721 (18837, 'p00905_102')
1722 (5796, 'p00518osc7x3_7')
1723 (17388, 'p00827_112')
1724 (9150, 'p00718x2_18')
1725 (9728, 'p00482x5_26')
1726 (13493, 'p00559x2_38')
1727 (19805, 'p00991_92')
1728 (5952, 'p00392x4_5')
1729 (19136, 'p00905_103')
1730 (9315, 'p00673x2_24')
1731 (8316, 'p00345x3_29')
1732 (6600, 'p00345x4_11')
1733 (19596, 'p00853_110')
1734 (6076, 'p00482x3_12')
1735 (12528, 'p00358x5_42')
1736 (5208, 'p00418x4_2')
1737 (12480, 'p00436x9_42')
1738 (16272, 'p00485x2_48')
1739 (17653, 'p00827_114')
1740 (5460, 'p00556x3_3')
1741 (19902, 'p00853_111')
1742 (13728, 'p00559x2_39')
1743 (17375, 'p00847osc7_112')
1744 (3888, 'p00436x4_0')
1745 (9933, 'p00482x5_27')
1746 (6344, 'p00582osc3x3_0')
1747 (17920, 'p00827_115')
1748 (9546, 'p00618x2_32')
1749 (19026, 'p00662x3_63')
1750 (10270, 'p00571x2_38')
1751 (20296, 'p00991_95')
1752 (5621, 'p00358x4_10')
1753 (19623, 'p00905_106')
1754 (16530, 'p00485x2_49')
1755 (8500, 'p00345x3_30')
1756 (9424, 'p00718x2_20')
1757 (18034, 'p00861osc7b_112')
1758 (6237, 'p00482x3_13')
1759 (20382, 'p00991_96')
1760 (6110, 'p00392x4_6')
1761 (19304, 'p00662x3_64')
1762 (9590, 'p00673x2_26')
1763 (18189, 'p00827_117')
1764 (5609, 'p00556x3_4')
1765 (10140, 'p00482x5_28')
1766 (10480, 'p00571x2_39')
1767 (20468, 'p00991_97')
1768 (5358, 'p00418x4_3')
1769 (19809, 'p00905_108')
1770 (5859, 'p00550osc5x3_5')
1771 (18189, 'p00827_118')
1772 (6545, 'p00363x4_10')
1773 (12936, 'p00436x9_44')
1774 (14204, 'p00559x2_41')
1775 (12980, 'p00358x5_44')
1776 (4015, 'p00436x4_1')
1777 (20116, 'p00905_109')
1778 (9660, 'p00673x2_27')
1779 (8686, 'p00345x3_31')
1780 (5346, 'p00356x5_0')
1781 (20586, 'p00853_116')
1782 (6400, 'p00482x3_14')
1783 (20880, 'p00991_99')
1784 (5772, 'p00358x4_11')
1785 (10349, 'p00482x5_29')
1786 (17052, 'p00485x2_51')
1787 (18460, 'p00827_120')
1788 (5760, 'p00556x3_5')
1789 (20900, 'p00853_117')
1790 (4884, 'p00358x5_0')
1791 (13167, 'p00436x9_45')
1792 (4692, 'p00448x4_0')
1793 (20304, 'p00905_111')
1794 (6314, 'p00590x3_1')
1795 (13209, 'p00358x5_45')
1796 (5766, 'p00441x4_1')
1797 (20150, 'p00662x3_67')
1798 (10773, 'p00571x2_41')
1799 (18304, 'p00847osc7_119')
1800 (5510, 'p00418x4_4')
1801 (20615, 'p00905_112')
1802 (17316, 'p00485x2_52')
1803 (8874, 'p00345x3_32')
1804 (6708, 'p00363x4_11')
1805 (10560, 'p00482x5_30')
1806 (6565, 'p00482x3_15')
1807 (21384, 'p00991_102')
1808 (4144, 'p00436x4_2')
1809 (13400, 'p00436x9_46')
1810 (9940, 'p00673x2_29')
1811 (19008, 'p00827_123')
1812 (5913, 'p00556x3_6')
1813 (18980, 'p00861osc7b_119')
1814 (10854, 'p00571x2_42')
1815 (13440, 'p00358x5_46')
1816 (5925, 'p00358x4_12')
1817 (20805, 'p00905_114')
1818 (6396, 'p00590x3_2')
1819 (19008, 'p00827_124')
1820 (5494, 'p00356x5_1')
1821 (20724, 'p00662x3_69')
1822 (14933, 'p00559x2_44')
1823 (21805, 'p00991_104')
1824 (4830, 'p00448x4_1')
1825 (10773, 'p00482x5_31')
1826 (10152, 'p00673x2_30')
1827 (9064, 'p00345x3_33')
1828 (5922, 'p00441x4_2')
1829 (21600, 'p00853_122')
1830 (5025, 'p00358x5_1')
1831 (21894, 'p00991_105')
1832 (5664, 'p00418x4_5')
1833 (21014, 'p00662x3_70')
1834 (17589, 'p00413osc7x2_63')
1835 (13673, 'p00358x5_47')
1836 (6068, 'p00556x3_7')
1837 (21922, 'p00853_123')
1838 (15180, 'p00559x2_45')
1839 (21983, 'p00991_106')
1840 (4275, 'p00436x4_3')
1841 (21312, 'p00905_117')
1842 (6478, 'p00590x3_3')
1843 (19564, 'p00827_127')
1844 (10395, 'p00618x2_38')
1845 (5248, 'p00369osc3x5_0')
1846 (11152, 'p00571x2_44')
1847 (22320, 'p00991_107')
1848 (6080, 'p00358x4_13')
1849 (21631, 'p00905_118')
1850 (12052, 'p00436x5_38')
1851 (9256, 'p00345x3_34')
1852 (10270, 'p00718x2_26')
1853 (22116, 'p00853_125')
1854 (6030, 'p00618x3_0')
1855 (13908, 'p00358x5_48')
1856 (4970, 'p00448x4_2')
1857 (21600, 'p00662x3_72')
1858 (10439, 'p00673x2_32')
1859 (19845, 'p00827_129')
1860 (5644, 'p00356x5_2')
1861 (22442, 'p00853_126')
1862 (11371, 'p00571x2_45')
1863 (8858, 'p00405osc9x3_27')
1864 (5820, 'p00418x4_6')
1865 (11205, 'p00482x5_33')
1866 (6560, 'p00590x3_4')
1867 (19845, 'p00827_130')
1868 (7040, 'p00363x4_13')
1869 (9720, 'p00399osc7x3_28')
1870 (5168, 'p00358x5_2')
1871 (22841, 'p00991_110')
1872 (4408, 'p00436x4_4')
1873 (22148, 'p00905_121')
1874 (10512, 'p00673x2_33')
1875 (9202, 'p00385osc15x3_30')
1876 (10686, 'p00618x2_40')
1877 (22638, 'p00853_128')
1878 (6097, 'p00618x3_1')
1879 (22932, 'p00991_111')
1880 (6237, 'p00358x4_14')
1881 (14352, 'p00436x9_50')
1882 (18666, 'p00485x2_57')
1883 (20128, 'p00827_132')
1884 (6384, 'p00556x3_9')
1885 (11424, 'p00482x5_34')
1886 (15933, 'p00559x2_48')
1887 (17000, 'p00618x3_80')
1888 (5112, 'p00448x4_3')
1889 (22344, 'p00905_123')
1890 (6174, 'p00550osc5x3_10')
1891 (20413, 'p00827_133')
1892 (6240, 'p00441x4_4')
1893 (22494, 'p00662x3_75')
1894 (11676, 'p00571x2_47')
1895 (14384, 'p00358x5_50')
1896 (5978, 'p00418x4_7')
1897 (22671, 'p00905_124')
1898 (18942, 'p00485x2_58')
1899 (9646, 'p00345x3_36')
1900 (5796, 'p00356x5_3')
1901 (23166, 'p00853_131')
1902 (6164, 'p00618x3_2')
1903 (23460, 'p00991_114')
1904 (4543, 'p00436x4_5')
1905 (11645, 'p00482x5_35')
1906 (10804, 'p00673x2_35')
1907 (20700, 'p00827_135')
1908 (6545, 'p00556x3_10')
1909 (23500, 'p00853_132')
1910 (5313, 'p00358x5_3')
1911 (17372, 'p00618x3_82')
1912 (6396, 'p00358x4_15')
1913 (22869, 'p00905_126')
1914 (6724, 'p00590x3_6')
1915 (14625, 'p00358x5_51')
1916 (10854, 'p00718x2_30')
1917 (14840, 'p00436x9_52')
1918 (16445, 'p00559x2_50')
1919 (23901, 'p00991_116')
1920 (5256, 'p00448x4_4')
1921 (23200, 'p00905_127')
1922 (11025, 'p00673x2_36')
1923 (9844, 'p00345x3_37')
1924 (6402, 'p00441x4_5')
1925 (11868, 'p00482x5_36')
1926 (6231, 'p00618x3_3')
1927 (23994, 'p00991_117')
1928 (4150, 'p00482x4_0')
1929 (23300, 'p00905_128')
1930 (12960, 'p00436x5_42')
1931 (20989, 'p00827_138')
1932 (6708, 'p00556x3_11')
1933 (24038, 'p00853_135')
1934 (16704, 'p00559x2_51')
1935 (14868, 'p00358x5_52')
1936 (4680, 'p00436x4_6')
1937 (23400, 'p00905_129')
1938 (6806, 'p00590x3_7')
1939 (21280, 'p00827_139')
1940 (5950, 'p00356x5_4')
1941 (23714, 'p00662x3_79')
1942 (12070, 'p00571x2_50')
1943 (24440, 'p00991_119')
1944 (6557, 'p00358x4_16')
1945 (12093, 'p00482x5_37')
1946 (19500, 'p00413osc7x2_70')
1947 (10044, 'p00345x3_38')
1948 (11152, 'p00718x2_32')
1949 (24240, 'p00853_137')
1950 (5460, 'p00358x5_4')
1951 (24534, 'p00991_120')
1952 (5402, 'p00448x4_5')
1953 (15336, 'p00436x9_54')
1954 (11324, 'p00673x2_38')
1955 (15113, 'p00358x5_53')
1956 (6283, 'p00652x3_0')
1957 (24582, 'p00853_138')
1958 (12298, 'p00571x2_51')
1959 (18128, 'p00618x3_86')
1960 (4284, 'p00482x4_1')
1961 (23937, 'p00905_132')
1962 (4840, 'p00436x9_0')
1963 (21573, 'p00827_142')
1964 (7553, 'p00363x4_16')
1965 (5695, 'p00369osc3x5_3')
1966 (17228, 'p00559x2_53')
1967 (21267, 'p00847osc7_140')
1968 (4819, 'p00436x4_7')
1969 (24276, 'p00905_133')
1970 (11400, 'p00673x2_39')
1971 (10246, 'p00345x3_39')
1972 (11583, 'p00618x2_46')
1973 (24786, 'p00853_140')
1974 (6365, 'p00618x3_5')
1975 (15360, 'p00358x5_54')
1976 (6720, 'p00358x4_17')
1977 (24378, 'p00905_134')
1978 (20352, 'p00485x2_63')
1979 (21868, 'p00827_144')
1980 (6106, 'p00356x5_5')
1981 (21996, 'p00861osc7b_140')
1982 (17493, 'p00559x2_54')
1983 (18512, 'p00618x3_88')
1984 (5550, 'p00448x4_6')
1985 (12549, 'p00482x5_39')
1986 (5544, 'p00662x3_0')
1987 (22165, 'p00827_145')
1988 (6732, 'p00441x4_7')
1989 (15840, 'p00436x9_56')
1990 (5609, 'p00358x5_5')
1991 (25536, 'p00991_125')
1992 (4420, 'p00482x4_2')
1993 (24823, 'p00905_136')
1994 (20640, 'p00485x2_64')
1995 (10192, 'p00385osc15x3_35')
1996 (7728, 'p00363x4_17')
1997 (25338, 'p00853_143')
1998 (4895, 'p00436x9_1')
1999 (25632, 'p00991_126')
2000 (4960, 'p00436x4_8')
2001 (24926, 'p00905_137')
2002 (11704, 'p00673x2_41')
2003 (22464, 'p00827_147')
2004 (6405, 'p00652x3_2')
2005 (12780, 'p00482x5_40')
2006 (12702, 'p00571x2_54')
2007 (16095, 'p00436x9_57')
2008 (6885, 'p00358x4_18')
2009 (25029, 'p00905_138')
2010 (5696, 'p00662x3_1')
2011 (22464, 'p00827_148')
2012 (11760, 'p00718x2_36')
2013 (25604, 'p00662x3_85')
2014 (18029, 'p00559x2_56')
2015 (15860, 'p00358x5_56')
2016 (5700, 'p00448x4_7')
2017 (25376, 'p00905_139')
2018 (11934, 'p00673x2_42')
2019 (10656, 'p00345x3_41')
2020 (6264, 'p00356x5_6')
2021 (25896, 'p00853_146')
2022 (6499, 'p00618x3_7')
2023 (22294, 'p00847osc7_147')
2024 (4558, 'p00482x4_3')
2025 (13013, 'p00482x5_41')
2026 (21222, 'p00485x2_66')
2027 (22765, 'p00827_150')
2028 (6466, 'p00652x3_3')
2029 (26250, 'p00853_147')
2030 (5760, 'p00358x5_6')
2031 (19292, 'p00618x3_92')
2032 (5103, 'p00436x4_9')
2033 (25584, 'p00905_141')
2034 (5040, 'p00436x9_2')
2035 (16113, 'p00358x5_57')
2036 (12201, 'p00618x2_50')
2037 (11155, 'p00399osc7x3_35')
2038 (13024, 'p00571x2_56')
2039 (26656, 'p00991_131')
2040 (7052, 'p00358x4_19')
2041 (25935, 'p00905_142')
2042 (21516, 'p00485x2_67')
2043 (10864, 'p00345x3_42')
2044 (12070, 'p00718x2_38')
2045 (13248, 'p00482x5_42')
2046 (6566, 'p00618x3_8')
2047 (26754, 'p00991_132')
2048 (5852, 'p00448x4_8')
2049 (26040, 'p00905_143')
2050 (12245, 'p00673x2_44')
2051 (23373, 'p00827_153')
2052 (6527, 'p00652x3_4')
2053 (26818, 'p00853_150')
2054 (13261, 'p00571x2_57')
2055 (16368, 'p00358x5_58')
2056 (4698, 'p00482x4_4')
2057 (26145, 'p00905_144')
2058 (6006, 'p00662x3_3')
2059 (23373, 'p00827_154')
2060 (6424, 'p00356x5_7')
2061 (16872, 'p00436x9_60')
2062 (18848, 'p00559x2_59')
2063 (27225, 'p00991_134')
2064 (5248, 'p00436x4_10')
2065 (13485, 'p00482x5_43')
2066 (12324, 'p00673x2_45')
2067 (11074, 'p00345x3_43')
2068 (12516, 'p00618x2_52')
2069 (27030, 'p00853_152')
2070 (4455, 'p00345x6_0')
2071 (27324, 'p00991_135')
2072 (7221, 'p00358x4_20')
2073 (26606, 'p00905_146')
2074 (22110, 'p00485x2_69')
2075 (16625, 'p00358x5_59')
2076 (6588, 'p00652x3_5')
2077 (27392, 'p00853_153')
2078 (19125, 'p00559x2_60')
2079 (10640, 'p00405osc9x3_36')
2080 (6006, 'p00448x4_9')
2081 (26712, 'p00905_147')
2082 (6164, 'p00662x3_4')
2083 (23989, 'p00827_157')
2084 (7242, 'p00441x4_10')
2085 (6160, 'p00369osc3x5_6')
2086 (13590, 'p00571x2_59')
2087 (27800, 'p00991_137')
2088 (4840, 'p00482x4_5')
2089 (27071, 'p00905_148')
2090 (14872, 'p00436x5_50')
2091 (11286, 'p00345x3_44')
2092 (8265, 'p00363x4_20')
2093 (24124, 'p00861osc7b_154')
2094 (6700, 'p00618x3_10')
2095 (16884, 'p00358x5_60')
2096 (5395, 'p00436x4_11')
2097 (17400, 'p00436x9_62')
2098 (12640, 'p00673x2_47')
2099 (24300, 'p00827_159')
2100 (6586, 'p00356x5_8')
2101 (27972, 'p00853_156')
2102 (13680, 'p00571x2_60')
2103 (20492, 'p00618x3_98')
2104 (7392, 'p00358x4_21')
2105 (13965, 'p00482x5_45')
2106 (5336, 'p00436x9_4')
2107 (24300, 'p00827_160')
2108 (12702, 'p00718x2_42')
2109 (28080, 'p00853_157')
2110 (6068, 'p00358x5_8')
2111 (28381, 'p00991_140')
2112 (6162, 'p00448x4_10')
2113 (27648, 'p00905_151')
2114 (12879, 'p00673x2_48')
2115 (11500, 'p00345x3_45')
2116 (7416, 'p00441x4_11')
2117 (28188, 'p00853_158')
2118 (4592, 'p00345x6_1')
2119 (28482, 'p00991_141')
2120 (4984, 'p00482x4_6')
2121 (21276, 'p00518osc7x3_112')
2122 (23016, 'p00485x2_72')
2123 (24613, 'p00827_162')
2124 (6440, 'p00708x3_0')
2125 (14208, 'p00482x5_46')
2126 (19968, 'p00559x2_63')
2127 (20900, 'p00618x3_100')
2128 (5544, 'p00436x4_12')
2129 (27864, 'p00905_153')
2130 (6486, 'p00662x3_6')
2131 (24928, 'p00827_163')
2132 (13158, 'p00618x2_56')
2133 (17936, 'p00436x9_64')
2134 (14014, 'p00571x2_62')
2135 (17408, 'p00358x5_62')
2136 (7565, 'p00358x4_22')
2137 (28231, 'p00905_154')
2138 (23322, 'p00485x2_73')
2139 (11716, 'p00345x3_46')
2140 (6750, 'p00356x5_9')
2141 (28776, 'p00853_161')
2142 (5487, 'p00436x9_5')
2143 (29070, 'p00991_144')
2144 (6320, 'p00448x4_11')
2145 (14453, 'p00482x5_47')
2146 (13202, 'p00673x2_50')
2147 (25245, 'p00827_165')
2148 (6510, 'p00708x3_1')
2149 (25217, 'p00861osc7b_161')
2150 (6225, 'p00358x5_9')
2151 (18207, 'p00436x9_65')
2152 (5130, 'p00482x4_7')
2153 (28449, 'p00905_156')
2154 (6650, 'p00662x3_7')
2155 (17673, 'p00358x5_63')
2156 (8633, 'p00363x4_22')
2157 (29260, 'p00853_163')
2158 (20540, 'p00559x2_65')
2159 (29561, 'p00991_146')
2160 (5695, 'p00436x4_13')
2161 (28820, 'p00905_157')
2162 (13284, 'p00673x2_51')
2163 (11934, 'p00345x3_47')
2164 (13485, 'p00618x2_58')
2165 (14700, 'p00482x5_48')
2166 (4731, 'p00345x6_2')
2167 (29664, 'p00991_147')
2168 (7740, 'p00358x4_23')
2169 (18480, 'p00436x9_66')
2170 (15876, 'p00436x5_54')
2171 (25564, 'p00827_168')
2172 (6580, 'p00708x3_2')
2173 (29748, 'p00853_165')
2174 (20829, 'p00559x2_66')
2175 (17940, 'p00358x5_64')
2176 (6480, 'p00448x4_12')
2177 (29040, 'p00905_159')
2178 (5640, 'p00436x9_6')
2179 (25885, 'p00827_169')
2180 (5022, 'p00436x5_0')
2181 (29859, 'p00853_166')
2182 (14601, 'p00571x2_65')
2183 (30160, 'p00991_149')
2184 (5278, 'p00482x4_8')
2185 (14949, 'p00482x5_49')
2186 (24252, 'p00485x2_76')
2187 (12154, 'p00345x3_48')
2188 (8820, 'p00363x4_23')
2189 (29970, 'p00853_167')
2190 (6384, 'p00358x5_10')
2191 (25551, 'p00847osc7_168')
2192 (5848, 'p00436x4_14')
2193 (29526, 'p00905_161')
2194 (13612, 'p00673x2_53')
2195 (18209, 'p00358x5_65')
2196 (6650, 'p00708x3_3')
2197 (30352, 'p00853_168')
2198 (14694, 'p00571x2_66')
2199 (22148, 'p00618x3_106')
2200 (7917, 'p00358x4_24')
2201 (29637, 'p00905_162')
2202 (6984, 'p00662x3_9')
2203 (26208, 'p00827_172')
2204 (13680, 'p00718x2_48')
2205 (6643, 'p00369osc3x5_9')
2206 (21413, 'p00559x2_68')
2207 (30765, 'p00991_152')
2208 (6642, 'p00448x4_13')
2209 (30016, 'p00905_163')
2210 (13860, 'p00673x2_54')
2211 (12376, 'p00345x3_49')
2212 (7950, 'p00441x4_14')
2213 (30576, 'p00853_170')
2214 (4872, 'p00345x6_3')
2215 (18480, 'p00358x5_66')
2216 (5428, 'p00482x4_9')
2217 (30128, 'p00905_164')
2218 (24882, 'p00485x2_78')
2219 (26533, 'p00827_174')
2220 (5170, 'p00436x5_1')
2221 (30962, 'p00853_171')
2222 (21708, 'p00559x2_69')
2223 (19311, 'p00436x9_69')
2224 (6003, 'p00436x4_15')
2225 (15453, 'p00482x5_51')
2226 (7154, 'p00662x3_10')
2227 (26860, 'p00827_175')
2228 (14151, 'p00618x2_62')
2229 (31075, 'p00853_172')
2230 (6545, 'p00358x5_11')
2231 (31376, 'p00991_155')
2232 (8096, 'p00358x4_25')
2233 (30623, 'p00905_166')
2234 (25200, 'p00485x2_79')
2235 (12322, 'p00385osc15x3_45')
2236 (14014, 'p00718x2_50')
2237 (31188, 'p00853_173')
2238 (7208, 'p00618x3_16')
2239 (31482, 'p00991_156')
2240 (6806, 'p00448x4_14')
2241 (19592, 'p00436x9_70')
2242 (14195, 'p00673x2_56')
2243 (27189, 'p00827_177')
2244 (6984, 'p00708x3_5')
2245 (15708, 'p00482x5_52')
2246 (15295, 'p00571x2_69')
2247 (23000, 'p00618x3_110')
2248 (5580, 'p00482x4_10')
2249 (30849, 'p00905_168')
2250 (5952, 'p00436x9_8')
2251 (27189, 'p00827_178')
2252 (9200, 'p00363x4_25')
2253 (31692, 'p00853_175')
2254 (22304, 'p00559x2_71')
2255 (19028, 'p00358x5_68')
2256 (6160, 'p00436x4_16')
2257 (31236, 'p00905_169')
2258 (14280, 'p00673x2_57')
2259 (12826, 'p00345x3_51')
2260 (5320, 'p00436x5_2')
2261 (27492, 'p00861osc7b_175')
2262 (5015, 'p00345x6_4')
2263 (32100, 'p00991_159')
2264 (8277, 'p00358x4_26')
2265 (15965, 'p00482x5_53')
2266 (25842, 'p00485x2_81')
2267 (27520, 'p00827_180')
2268 (7154, 'p00708x3_6')
2269 (32200, 'p00853_177')
2270 (6708, 'p00358x5_12')
2271 (23432, 'p00618x3_112')
2272 (6972, 'p00448x4_15')
2273 (31464, 'p00905_171')
2274 (7500, 'p00662x3_12')
2275 (19305, 'p00358x5_69')
2276 (8316, 'p00441x4_16')
2277 (20160, 'p00436x9_72')
2278 (15648, 'p00571x2_71')
2279 (32616, 'p00991_161')
2280 (5734, 'p00482x4_11')
2281 (31855, 'p00905_172')
2282 (25821, 'p00413osc7x2_91')
2283 (13054, 'p00345x3_52')
2284 (9393, 'p00363x4_26')
2285 (16224, 'p00482x5_54')
2286 (6111, 'p00436x9_9')
2287 (32724, 'p00991_162')
2288 (6319, 'p00436x4_17')
2289 (24265, 'p00518osc7x3_126')
2290 (14620, 'p00673x2_59')
2291 (28188, 'p00827_183')
2292 (7254, 'p00652x3_14')
2293 (32828, 'p00853_180')
2294 (15744, 'p00571x2_72')
2295 (12584, 'p00405osc9x3_45')
2296 (8460, 'p00358x4_27')
2297 (32085, 'p00905_174')
2298 (7676, 'p00662x3_13')
2299 (28188, 'p00827_184')
2300 (5472, 'p00436x5_3')
2301 (32944, 'p00853_181')
2302 (23213, 'p00559x2_74')
2303 (27840, 'p00847osc7_182')
2304 (7140, 'p00448x4_16')
2305 (16485, 'p00482x5_55')
2306 (14877, 'p00673x2_60')
2307 (13284, 'p00345x3_53')
2308 (8502, 'p00441x4_17')
2309 (33060, 'p00853_182')
2310 (5160, 'p00345x6_5')
2311 (33354, 'p00991_165')
2312 (5890, 'p00482x4_12')
2313 (20736, 'p00436x9_74')
2314 (26820, 'p00485x2_84')
2315 (19865, 'p00358x5_71')
2316 (7434, 'p00652x3_15')
2317 (28674, 'p00861osc7b_182')
2318 (23520, 'p00559x2_75')
2319 (24308, 'p00618x3_116')
2320 (6480, 'p00436x4_18')
2321 (32712, 'p00905_177')
2322 (6272, 'p00436x9_10')
2323 (28864, 'p00827_187')
2324 (15180, 'p00618x2_68')
2325 (7144, 'p00369osc3x5_12')
2326 (16102, 'p00571x2_74')
2327 (33880, 'p00991_167')
2328 (8645, 'p00358x4_28')
2329 (33111, 'p00905_178')
2330 (17980, 'p00436x5_62')
2331 (13516, 'p00345x3_54')
2332 (15040, 'p00718x2_56')
2333 (33696, 'p00853_185')
2334 (7700, 'p00618x3_20')
2335 (20148, 'p00358x5_72')
2336 (7310, 'p00448x4_17')
2337 (33228, 'p00905_179')
2338 (15224, 'p00673x2_62')
2339 (29205, 'p00827_189')
2340 (5626, 'p00436x5_4')
2341 (34102, 'p00853_186')
2342 (16366, 'p00571x2_75')
2343 (24752, 'p00618x3_118')
2344 (6048, 'p00482x4_13')
2345 (17013, 'p00482x5_57')
2346 (8034, 'p00662x3_15')
2347 (29205, 'p00827_190')
2348 (9785, 'p00363x4_28')
2349 (21320, 'p00436x9_76')
2350 (7040, 'p00358x5_14')
2351 (34521, 'p00991_170')
2352 (6643, 'p00436x4_19')
2353 (33748, 'p00905_181')
2354 (15312, 'p00673x2_63')
2355 (13462, 'p00385osc15x3_50')
2356 (15531, 'p00618x2_70')
2357 (34338, 'p00853_188')
2358 (5307, 'p00345x6_6')
2359 (29014, 'p00847osc7_189')
2360 (8832, 'p00358x4_29')
2361 (33866, 'p00905_182')
2362 (27816, 'p00485x2_87')
2363 (29548, 'p00827_192')
2364 (7680, 'p00652x3_17')
2365 (17280, 'p00482x5_58')
2366 (24453, 'p00559x2_78')
2367 (21615, 'p00436x9_77')
2368 (7482, 'p00448x4_18')
2369 (33984, 'p00905_183')
2370 (8142, 'p00550osc5x3_30')
2371 (29893, 'p00827_193')
2372 (8880, 'p00441x4_19')
2373 (14319, 'p00399osc7x3_49')
2374 (16731, 'p00571x2_77')
2375 (20720, 'p00358x5_74')
2376 (6208, 'p00482x4_14')
2377 (34391, 'p00905_184')
2378 (28152, 'p00485x2_88')
2379 (13986, 'p00345x3_56')
2380 (5782, 'p00436x5_5')
2381 (34986, 'p00853_191')
2382 (7952, 'p00618x3_22')
2383 (35280, 'p00991_174')
2384 (6808, 'p00436x4_20')
2385 (17549, 'p00482x5_59')
2386 (15664, 'p00673x2_65')
2387 (30240, 'p00827_195')
2388 (7744, 'p00652x3_18')
2389 (35400, 'p00853_192')
2390 (7209, 'p00358x5_15')
2391 (25652, 'p00618x3_122')
2392 (9021, 'p00358x4_30')
2393 (34629, 'p00905_186')
2394 (5915, 'p00399osc7x6_0')
2395 (21009, 'p00358x5_75')
2396 (15744, 'p00718x2_60')
2397 (35520, 'p00853_193')
2398 (25085, 'p00559x2_80')
2399 (35821, 'p00991_176')
2400 (7656, 'p00448x4_19')
2401 (35040, 'p00905_187')
2402 (15930, 'p00673x2_66')
2403 (14224, 'p00345x3_57')
2404 (9072, 'p00441x4_20')
2405 (17820, 'p00482x5_60')
2406 (5456, 'p00345x6_7')
2407 (35934, 'p00991_177')
2408 (6370, 'p00482x4_15')
2409 (35160, 'p00905_188')
2410 (5100, 'p00482x5_0')
2411 (30589, 'p00827_198')
2412 (7930, 'p00652x3_19')
2413 (36058, 'p00853_195')
2414 (25404, 'p00559x2_81')
2415 (21300, 'p00358x5_76')
2416 (6975, 'p00436x4_21')
2417 (35280, 'p00905_189')
2418 (8586, 'p00662x3_18')
2419 (30940, 'p00827_199')
2420 (5940, 'p00436x5_6')
2421 (22512, 'p00436x9_80')
2422 (17200, 'p00571x2_80')
2423 (36480, 'p00991_179')
2424 (9212, 'p00358x4_31')
2425 (18093, 'p00482x5_61')
2426 (29172, 'p00485x2_91')
2427 (14464, 'p00345x3_58')
2428 (16102, 'p00718x2_62')
2429 (31096, 'p00861osc7b_196')
2430 (6767, 'p00436x9_13')
2431 (36594, 'p00991_180')
2432 (7832, 'p00448x4_20')
2433 (35816, 'p00905_191')
2434 (16289, 'p00673x2_68')
2435 (21593, 'p00358x5_77')
2436 (7995, 'p00652x3_20')
2437 (36722, 'p00853_198')
2438 (17473, 'p00571x2_81')
2439 (22815, 'p00436x9_81')
2440 (6534, 'p00482x4_16')
2441 (35937, 'p00905_192')
2442 (8774, 'p00662x3_19')
2443 (31293, 'p00827_202')
2444 (10388, 'p00363x4_31')
2445 (7663, 'p00369osc3x5_15')
2446 (26048, 'p00559x2_83')
2447 (37145, 'p00991_182')
2448 (7144, 'p00436x4_22')
2449 (36356, 'p00905_193')
2450 (5253, 'p00482x5_1')
2451 (14706, 'p00345x3_59')
2452 (16608, 'p00618x2_76')
2453 (36966, 'p00853_200')
2454 (5607, 'p00345x6_8')
2455 (21888, 'p00358x5_78')
2456 (9405, 'p00358x4_32')
2457 (23120, 'p00436x9_82')
2458 (29862, 'p00485x2_93')
2459 (31648, 'p00827_204')
2460 (6100, 'p00436x5_7')
2461 (37392, 'p00853_201')
2462 (26373, 'p00559x2_84')
2463 (27032, 'p00618x3_128')
2464 (8010, 'p00448x4_21')
2465 (18645, 'p00482x5_63')
2466 (6936, 'p00436x9_14')
2467 (32005, 'p00827_205')
2468 (9462, 'p00441x4_22')
2469 (37515, 'p00853_202')
2470 (7553, 'p00358x5_17')
2471 (31450, 'p00847osc7_203')
2472 (6700, 'p00482x4_17')
2473 (37023, 'p00905_196')
2474 (30210, 'p00485x2_94')
2475 (14950, 'p00345x3_60')
2476 (10593, 'p00363x4_32')
2477 (37638, 'p00853_203')
2478 (8468, 'p00618x3_26')
2479 (37932, 'p00991_186')
2480 (7315, 'p00436x4_23')
2481 (37146, 'p00905_197')
2482 (16744, 'p00673x2_71')
2483 (32364, 'p00827_207')
2484 (8208, 'p00700x3_16')
2485 (18924, 'p00482x5_64')
2486 (17952, 'p00571x2_84')
2487 (27500, 'p00618x3_130')
2488 (9600, 'p00358x4_33')
2489 (37269, 'p00905_198')
2490 (5408, 'p00482x5_2')
2491 (32364, 'p00827_208')
2492 (16830, 'p00718x2_66')
2493 (23736, 'p00436x9_84')
2494 (27029, 'p00559x2_86')
2495 (22484, 'p00358x5_80')
2496 (8190, 'p00448x4_22')
2497 (37696, 'p00905_199')
2498 (17019, 'p00673x2_72')
2499 (15196, 'p00345x3_61')
2500 (6262, 'p00436x5_8')
2501 (38316, 'p00853_206')
2502 (5760, 'p00345x6_9')
2503 (38610, 'p00991_189')
2504 (6868, 'p00482x4_18')
2505 (19205, 'p00482x5_65')
2506 (30525, 'p00413osc7x2_105')
2507 (32725, 'p00827_210')
2508 (4698, 'p00418x6_0')
2509 (38750, 'p00853_207')
2510 (7728, 'p00358x5_18')
2511 (14690, 'p00405osc9x3_54')
2512 (7488, 'p00436x4_24')
2513 (37944, 'p00905_201')
2514 (9350, 'p00662x3_22')
2515 (22785, 'p00358x5_81')
2516 (17346, 'p00618x2_80')
2517 (38875, 'p00853_208')
2518 (18334, 'p00571x2_86')
2519 (39176, 'p00991_191')
2520 (9797, 'p00358x4_34')
2521 (38375, 'p00905_202')
2522 (31266, 'p00485x2_97')
2523 (15444, 'p00345x3_62')
2524 (17200, 'p00718x2_68')
2525 (19488, 'p00482x5_66')
2526 (8732, 'p00618x3_28')
2527 (32712, 'p00847osc7_210')
2528 (8372, 'p00448x4_23')
2529 (24360, 'p00436x9_86')
2530 (5565, 'p00482x5_3')
2531 (33453, 'p00827_213')
2532 (8470, 'p00700x3_18')
2533 (39438, 'p00853_210')
2534 (18616, 'p00571x2_87')
2535 (23088, 'p00358x5_82')
2536 (7038, 'p00482x4_19')
2537 (38625, 'p00905_204')
2538 (7280, 'p00436x9_16')
2539 (33453, 'p00827_214')
2540 (6426, 'p00436x5_9')
2541 (16048, 'p00399osc7x3_56')
2542 (28028, 'p00559x2_89')
2543 (39865, 'p00991_194')
2544 (7663, 'p00436x4_25')
2545 (19773, 'p00482x5_67')
2546 (17484, 'p00673x2_75')
2547 (15694, 'p00345x3_63')
2548 (17721, 'p00618x2_82')
2549 (39690, 'p00853_212')
2550 (5915, 'p00345x6_10')
2551 (39984, 'p00991_195')
2552 (9996, 'p00358x4_35')
2553 (39186, 'p00905_206')
2554 (31980, 'p00485x2_99')
2555 (23393, 'p00358x5_83')
2556 (4840, 'p00418x6_1')
2557 (40132, 'p00853_213')
2558 (28365, 'p00559x2_90')
2559 (28928, 'p00618x3_136')
2560 (8556, 'p00448x4_24')
2561 (39312, 'p00905_207')
2562 (9271, 'p00518osc7x3_42')
2563 (34189, 'p00827_217')
2564 (10062, 'p00441x4_25')
2565 (8200, 'p00369osc3x5_18')
2566 (19005, 'p00571x2_89')
2567 (40560, 'p00991_197')
2568 (7210, 'p00482x4_20')
2569 (39751, 'p00905_208')
2570 (5724, 'p00482x5_4')
2571 (15946, 'p00345x3_64')
2572 (11220, 'p00363x4_35')
2573 (40386, 'p00853_215')
2574 (7455, 'p00436x9_17')
2575 (23700, 'p00358x5_84')
2576 (7840, 'p00436x4_26')
2577 (39878, 'p00905_209')
2578 (17860, 'p00673x2_77')
2579 (34560, 'p00827_219')
2580 (6592, 'p00436x5_10')
2581 (40832, 'p00853_216')
2582 (19110, 'p00571x2_90')
2583 (25311, 'p00436x9_89')
2584 (10197, 'p00358x4_36')
2585 (20349, 'p00482x5_69')
2586 (9944, 'p00662x3_25')
2587 (34560, 'p00827_220')
2588 (17952, 'p00718x2_72')
2589 (40960, 'p00853_217')
2590 (8084, 'p00358x5_20')
2591 (41261, 'p00991_200')
2592 (8742, 'p00448x4_25')
2593 (40448, 'p00905_211')
2594 (18144, 'p00673x2_78')
2595 (15892, 'p00385osc15x3_60')
2596 (10266, 'p00441x4_26')
2597 (34905, 'p00861osc7b_217')
2598 (6072, 'p00345x6_11')
2599 (41382, 'p00991_201')
2600 (7384, 'p00482x4_21')
2601 (25632, 'p00436x9_90')
2602 (33066, 'p00485x2_102')
2603 (34933, 'p00827_222')
2604 (4984, 'p00418x6_2')
2605 (20640, 'p00482x5_70')
2606 (29388, 'p00559x2_93')
2607 (29900, 'p00618x3_140')
2608 (8019, 'p00436x4_27')
2609 (40704, 'p00905_213')
2610 (5885, 'p00482x5_5')
2611 (35308, 'p00827_223')
2612 (18483, 'p00618x2_86')
2613 (41667, 'p00853_220')
2614 (19504, 'p00571x2_92')
2615 (24320, 'p00358x5_86')
2616 (10400, 'p00358x4_37')
2617 (41151, 'p00905_214')
2618 (33024, 'p00413osc7x2_112')
2619 (16456, 'p00345x3_66')
2620 (6760, 'p00436x5_11')
2621 (41796, 'p00853_221')
2622 (9272, 'p00618x3_32')
2623 (42090, 'p00991_204')
2624 (8930, 'p00448x4_26')
2625 (20933, 'p00482x5_71')
2626 (18527, 'p00673x2_80')
2627 (35685, 'p00827_225')
2628 (9006, 'p00700x3_22')
2629 (42250, 'p00853_222')
2630 (8265, 'p00358x5_21')
2631 (30392, 'p00618x3_142')
2632 (7560, 'p00482x4_22')
2633 (41409, 'p00905_216')
2634 (10350, 'p00662x3_27')
2635 (24633, 'p00358x5_87')
2636 (11648, 'p00363x4_37')
2637 (26280, 'p00436x9_92')
2638 (30080, 'p00559x2_95')
2639 (35295, 'p00847osc7_224')
2640 (8200, 'p00436x4_28')
2641 (41860, 'p00905_217')
2642 (18624, 'p00673x2_81')
2643 (16714, 'p00345x3_67')
2644 (18870, 'p00618x2_88')
2645 (21228, 'p00482x5_72')
2646 (6231, 'p00345x6_12')
2647 (42804, 'p00991_207')
2648 (10605, 'p00358x4_38')
2649 (41990, 'p00905_218')
2650 (6048, 'p00482x5_6')
2651 (36064, 'p00827_228')
2652 (5130, 'p00418x6_3')
2653 (36234, 'p00861osc7b_224')
2654 (30429, 'p00559x2_96')
2655 (24948, 'p00358x5_88')
2656 (9120, 'p00448x4_27')
2657 (42120, 'p00905_219')
2658 (10556, 'p00662x3_28')
2659 (36445, 'p00827_229')
2660 (6930, 'p00436x5_12')
2661 (43099, 'p00853_226')
2662 (20196, 'p00571x2_95')
2663 (43400, 'p00991_209')
2664 (7738, 'p00482x4_23')
2665 (21525, 'p00482x5_73')
2666 (34542, 'p00485x2_106')
2667 (16974, 'p00345x3_68')
2668 (11865, 'p00363x4_38')
2669 (43230, 'p00853_227')
2670 (8448, 'p00358x5_22')
2671 (43524, 'p00991_210')
2672 (8383, 'p00436x4_29')
2673 (26936, 'p00436x9_94')
2674 (19012, 'p00673x2_83')
2675 (25265, 'p00358x5_89')
2676 (9280, 'p00700x3_24')
2677 (43692, 'p00853_228')
2678 (20304, 'p00571x2_96')
2679 (31388, 'p00618x3_146')
2680 (10812, 'p00358x4_39')
2681 (42837, 'p00905_222')
2682 (7992, 'p00436x9_20')
2683 (36828, 'p00827_232')
2684 (19110, 'p00718x2_78')
2685 (8755, 'p00369osc3x5_21')
2686 (31133, 'p00559x2_98')
2687 (44125, 'p00991_212')
2688 (9312, 'p00448x4_28')
2689 (43296, 'p00905_223')
2690 (6213, 'p00482x5_7')
2691 (17236, 'p00345x3_69')
2692 (10890, 'p00441x4_29')
2693 (43956, 'p00853_230')
2694 (6392, 'p00345x6_13')
2695 (25584, 'p00358x5_90')
2696 (7918, 'p00482x4_24')
2697 (43428, 'p00905_224')
2698 (35292, 'p00485x2_108')
2699 (37213, 'p00827_234')
2700 (5278, 'p00418x6_4')
2701 (44422, 'p00853_231')
2702 (31488, 'p00559x2_99')
2703 (31892, 'p00618x3_148')
2704 (8568, 'p00436x4_30')
2705 (22125, 'p00482x5_75')
2706 (10974, 'p00662x3_30')
2707 (37600, 'p00827_235')
2708 (19656, 'p00618x2_92')
2709 (17875, 'p00399osc7x3_63')
2710 (8633, 'p00358x5_23')
2711 (44856, 'p00991_215')
2712 (11021, 'p00358x4_40')
2713 (44023, 'p00905_226')
2714 (35670, 'p00485x2_109')
2715 (17182, 'p00385osc15x3_65')
2716 (19504, 'p00718x2_80')
2717 (44688, 'p00853_233')
2718 (8175, 'p00436x9_21')
2719 (44982, 'p00991_216')
2720 (9506, 'p00448x4_29')
2721 (44156, 'p00905_227')
2722 (19700, 'p00673x2_86')
2723 (37989, 'p00827_237')
2724 (9558, 'p00700x3_26')
2725 (22428, 'p00482x5_76')
2726 (21010, 'p00571x2_99')
2727 (16958, 'p00405osc9x3_63')
2728 (8100, 'p00482x4_25')
2729 (44289, 'p00905_228')
2730 (6380, 'p00482x5_8')
2731 (37989, 'p00827_238')
2732 (12305, 'p00363x4_40')
2733 (45292, 'p00853_235')
2734 (32204, 'p00559x2_101')
2735 (26228, 'p00358x5_92')
2736 (8755, 'p00436x4_31')
2737 (44756, 'p00905_229')
2738 (19800, 'p00673x2_87')
2739 (17766, 'p00345x3_71')
2740 (7276, 'p00436x5_14')
2741 (45426, 'p00853_236')
2742 (6555, 'p00345x6_14')
2743 (45720, 'p00991_219')
2744 (11232, 'p00358x4_41')
2745 (22733, 'p00482x5_77')
2746 (36432, 'p00485x2_111')
2747 (38380, 'p00827_240')
2748 (5428, 'p00418x6_5')
2749 (45900, 'p00853_237')
2750 (8820, 'p00358x5_24')
2751 (32912, 'p00618x3_152')
2752 (9702, 'p00448x4_30')
2753 (45024, 'p00905_231')
2754 (8360, 'p00436x9_22')
2755 (26553, 'p00358x5_93')
2756 (11316, 'p00441x4_31')
2757 (46035, 'p00853_238')
2758 (21423, 'p00571x2_101')
2759 (46336, 'p00991_221')
2760 (8284, 'p00482x4_26')
2761 (45495, 'p00905_232')
2762 (36816, 'p00485x2_112')
2763 (18034, 'p00345x3_72')
2764 (12528, 'p00363x4_41')
2765 (23040, 'p00482x5_78')
2766 (10112, 'p00618x3_38')
2767 (46464, 'p00991_222')
2768 (8944, 'p00436x4_32')
2769 (45630, 'p00905_233')
2770 (6549, 'p00482x5_9')
2771 (39168, 'p00827_243')
2772 (9840, 'p00700x3_28')
2773 (46648, 'p00853_240')
2774 (21534, 'p00571x2_102')
2775 (26880, 'p00358x5_94')
2776 (11445, 'p00358x4_42')
2777 (45765, 'p00905_234')
2778 (11616, 'p00662x3_33')
2779 (39168, 'p00827_244')
2780 (7452, 'p00436x5_15')
2781 (28952, 'p00436x9_100')
2782 (33293, 'p00559x2_104')
2783 (47085, 'p00991_224')
2784 (9900, 'p00448x4_31')
2785 (23349, 'p00482x5_79')
2786 (20502, 'p00673x2_90')
2787 (18304, 'p00345x3_73')
2788 (11532, 'p00441x4_32')
2789 (46920, 'p00853_242')
2790 (6720, 'p00345x6_15')
2791 (47214, 'p00991_225')
2792 (6372, 'p00698x4_0')
2793 (34408, 'p00518osc7x3_168')
2794 (37590, 'p00485x2_114')
2795 (6650, 'p00559x5_0')
2796 (5580, 'p00418x6_6')
2797 (47402, 'p00853_243')
2798 (33660, 'p00559x2_105')
2799 (29295, 'p00436x9_101')
2800 (9135, 'p00436x4_33')
2801 (46512, 'p00905_237')
2802 (11834, 'p00662x3_34')
2803 (39964, 'p00827_247')
2804 (20865, 'p00618x2_98')
2805 (9328, 'p00369osc3x5_24')
2806 (21952, 'p00571x2_104')
2807 (39346, 'p00847osc7_245')
2808 (11660, 'p00358x4_43')
2809 (46991, 'p00905_238')
2810 (6720, 'p00482x5_10')
2811 (18576, 'p00345x3_74')
2812 (20710, 'p00718x2_86')
2813 (47676, 'p00853_245')
2814 (10400, 'p00618x3_40')
2815 (27540, 'p00358x5_96')
2816 (10100, 'p00448x4_32')
2817 (29640, 'p00436x9_102')
2818 (20909, 'p00673x2_92')
2819 (40365, 'p00827_249')
2820 (7630, 'p00436x5_16')
2821 (40337, 'p00861osc7b_245')
2822 (22261, 'p00571x2_105')
2823 (34472, 'p00618x3_158')
2824 (6545, 'p00698x4_1')
2825 (23973, 'p00482x5_81')
2826 (8736, 'p00436x9_24')
2827 (40365, 'p00827_250')
2828 (12980, 'p00363x4_43')
2829 (48300, 'p00853_247')
2830 (9200, 'p00358x5_26')
2831 (48601, 'p00991_230')
2832 (9328, 'p00436x4_34')
2833 (47748, 'p00905_241')
2834 (21012, 'p00673x2_93')
2835 (6720, 'p00559x5_1')
2836 (21276, 'p00618x2_100')
2837 (48438, 'p00853_248')
2838 (6887, 'p00345x6_16')
2839 (48732, 'p00991_231')
2840 (11877, 'p00358x4_44')
2841 (47886, 'p00905_242')
2842 (38316, 'p00413osc7x2_126')
2843 (40768, 'p00827_252')
2844 (5734, 'p00418x6_7')
2845 (24288, 'p00482x5_82')
2846 (34773, 'p00559x2_108')
2847 (35000, 'p00618x3_160')
2848 (10302, 'p00448x4_33')
2849 (48024, 'p00905_243')
2850 (6893, 'p00482x5_11')
2851 (41173, 'p00827_253')
2852 (11970, 'p00441x4_34')
2853 (30336, 'p00436x9_104')
2854 (22686, 'p00571x2_107')
2855 (28208, 'p00358x5_98')
2856 (6720, 'p00698x4_2')
2857 (48511, 'p00905_244')
2858 (39162, 'p00485x2_118')
2859 (19126, 'p00345x3_76')
2860 (7810, 'p00436x5_17')
2861 (49206, 'p00853_251')
2862 (8927, 'p00436x9_25')
2863 (40755, 'p00847osc7_252')
2864 (4536, 'p00358x8_0')
2865 (24605, 'p00482x5_83')
2866 (21424, 'p00673x2_95')
2867 (41580, 'p00827_255')
2868 (10416, 'p00700x3_32')
2869 (49700, 'p00853_252')
2870 (9393, 'p00358x5_27')
2871 (30687, 'p00436x9_105')
2872 (12096, 'p00358x4_45')
2873 (48789, 'p00905_246')
2874 (12500, 'p00662x3_37')
2875 (6790, 'p00559x5_2')
2876 (21534, 'p00718x2_90')
2877 (19800, 'p00399osc7x3_70')
2878 (35525, 'p00559x2_110')
2879 (50141, 'p00991_236')
2880 (10506, 'p00448x4_34')
2881 (49280, 'p00905_247')
2882 (21735, 'p00673x2_96')
2883 (19404, 'p00345x3_77')
2884 (12192, 'p00441x4_35')
2885 (24924, 'p00482x5_84')
2886 (7056, 'p00345x6_17')
2887 (50274, 'p00991_237')
2888 (6897, 'p00698x4_3')
2889 (31040, 'p00436x9_106')
2890 (7068, 'p00482x5_12')
2891 (41989, 'p00827_258')
2892 (5890, 'p00418x6_8')
2893 (50478, 'p00853_255')
2894 (35904, 'p00559x2_111')
2895 (28884, 'p00358x5_100')
2896 (9720, 'p00436x4_36')
2897 (49560, 'p00905_249')
2898 (9120, 'p00436x9_26')
2899 (42400, 'p00827_259')
2900 (7992, 'p00436x5_18')
2901 (50619, 'p00853_256')
2902 (23230, 'p00571x2_110')
2903 (50920, 'p00991_239')
2904 (6106, 'p00363x8_0')
2905 (25245, 'p00482x5_85')
2906 (40362, 'p00485x2_121')
2907 (19684, 'p00345x3_78')
2908 (21952, 'p00718x2_92')
2909 (50760, 'p00853_257')
2910 (9588, 'p00358x5_28')
2911 (51054, 'p00991_240')
2912 (10712, 'p00448x4_35')
2913 (50196, 'p00905_251')
2914 (22154, 'p00673x2_98')
2915 (6860, 'p00559x5_3')
2916 (10710, 'p00700x3_34')
2917 (51262, 'p00853_258')
2918 (23548, 'p00571x2_111')
2919 (36608, 'p00618x3_166')
2920 (7076, 'p00698x4_4')
2921 (50337, 'p00905_252')
2922 (12954, 'p00662x3_39')
2923 (42813, 'p00827_262')
2924 (13673, 'p00363x4_46')
2925 (9919, 'p00369osc3x5_27')
2926 (36668, 'p00559x2_113')
2927 (51705, 'p00991_242')
2928 (4672, 'p00358x8_1')
2929 (50836, 'p00905_253')
2930 (7245, 'p00482x5_13')
2931 (19966, 'p00345x3_79')
2932 (22533, 'p00618x2_106')
2933 (43200, 'p00861osc7b_259')
2934 (7227, 'p00345x6_18')
2935 (29568, 'p00358x5_102')
2936 (12540, 'p00358x4_47')
2937 (50978, 'p00905_254')
2938 (41172, 'p00485x2_123')
2939 (43228, 'p00827_264')
2940 (6048, 'p00418x6_9')
2941 (52052, 'p00853_261')
2942 (37053, 'p00559x2_114')
2943 (19388, 'p00405osc9x3_72')
2944 (10920, 'p00448x4_36')
2945 (25893, 'p00482x5_87')
2946 (13184, 'p00662x3_40')
2947 (43645, 'p00827_265')
2948 (12642, 'p00441x4_37')
2949 (52195, 'p00853_262')
2950 (9785, 'p00358x5_29')
2951 (52496, 'p00991_245')
2952 (7257, 'p00698x4_5')
2953 (51623, 'p00905_256')
2954 (41109, 'p00413osc7x2_133')
2955 (6930, 'p00559x5_4')
2956 (13908, 'p00363x4_47')
2957 (52338, 'p00853_263')
2958 (11288, 'p00618x3_46')
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3450 (9728, 'p00482x5_26')
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4436 (46926, 'p00618x2_200')
4437 (68880, 'p00436x9_192')
4438 (48574, 'p00571x2_206')
4439 (113256, 'p00991_431')
4440 (10450, 'p00363x8_24')
4441 (112135, 'p00905_442')
4442 (88266, 'p00485x2_217')
4443 (41764, 'p00345x3_142')
4444 (46720, 'p00718x2_188')
4445 (55968, 'p00482x5_162')
4446 (19311, 'p00436x9_69')
4447 (113454, 'p00991_432')
4448 (22952, 'p00448x4_83')
4449 (112340, 'p00905_443')
4450 (15453, 'p00482x5_51')
4451 (91773, 'p00827_453')
4452 (22149, 'p00652x3_104')
4453 (113918, 'p00853_450')
4454 (49036, 'p00571x2_207')
4455 (40934, 'p00405osc9x3_135')
4456 (18020, 'p00698x4_52')
4457 (112545, 'p00905_444')
4458 (31706, 'p00662x3_103')
4459 (91773, 'p00827_454')
4460 (16650, 'p00436x5_57')
4461 (114124, 'p00853_451')
4462 (82748, 'p00559x2_209')
4463 (114425, 'p00991_434')
4464 (8536, 'p00358x8_25')
4465 (56445, 'p00482x5_163')
4466 (47124, 'p00673x2_195')
4467 (42174, 'p00345x3_143')
4468 (47541, 'p00618x2_202')
4469 (114330, 'p00853_452')
4470 (13755, 'p00345x6_50')
4471 (114624, 'p00991_435')
4472 (25596, 'p00358x4_95')
4473 (69936, 'p00436x9_194')
4474 (89460, 'p00485x2_219')
4475 (14659, 'p00559x5_42')
4476 (12160, 'p00418x6_41')
4477 (115092, 'p00853_453')
4478 (83325, 'p00559x2_210')
4479 (80288, 'p00618x3_296')
4480 (23256, 'p00448x4_84')
4481 (113712, 'p00905_447')
4482 (19592, 'p00436x9_70')
4483 (92989, 'p00827_457')
4484 (25842, 'p00441x4_85')
4485 (19240, 'p00369osc3x5_66')
4486 (49665, 'p00571x2_209')
4487 (92056, 'p00847osc7_455')
4488 (18297, 'p00698x4_53')
4489 (114471, 'p00905_448')
4490 (15708, 'p00482x5_52')
4491 (42586, 'p00345x3_144')
4492 (27540, 'p00363x4_95')
4493 (115506, 'p00853_455')
4494 (23000, 'p00618x3_110')
4495 (62484, 'p00358x5_180')
4496 (6420, 'p00482x8_10')
4497 (114678, 'p00905_449')
4498 (47740, 'p00673x2_197')
4499 (93600, 'p00827_459')
4500 (5952, 'p00436x9_8')
4501 (93572, 'p00861osc7b_455')
4502 (49830, 'p00571x2_210')
4503 (81092, 'p00618x3_298')
4504 (10656, 'p00363x8_25')
4505 (57405, 'p00482x5_165')
4506 (32424, 'p00662x3_105')
4507 (93600, 'p00827_460')
4508 (47952, 'p00718x2_192')
4509 (71000, 'p00436x9_196')
4510 (19028, 'p00358x5_68')
4511 (116781, 'p00991_440')
4512 (23562, 'p00448x4_85')
4513 (115648, 'p00905_451')
4514 (48204, 'p00673x2_198')
4515 (14904, 'p00559x5_43')
4516 (26166, 'p00441x4_86')
4517 (116688, 'p00853_458')
4518 (13992, 'p00345x6_51')
4519 (116982, 'p00991_441')
4520 (18576, 'p00698x4_54')
4521 (115856, 'p00905_452')
4522 (90501, 'p00413osc7x2_231')
4523 (94213, 'p00827_462')
4524 (12384, 'p00418x6_42')
4525 (57888, 'p00482x5_166')
4526 (85068, 'p00559x2_213')
4527 (71535, 'p00436x9_197')
4528 (8722, 'p00358x8_26')
4529 (116064, 'p00905_453')
4530 (15965, 'p00482x5_53')
4531 (94828, 'p00827_463')
4532 (48783, 'p00618x2_206')
4533 (117667, 'p00853_460')
4534 (50464, 'p00571x2_212')
4535 (63488, 'p00358x5_182')
4536 (26240, 'p00358x4_97')
4537 (116831, 'p00905_454')
4538 (91872, 'p00485x2_223')
4539 (43416, 'p00345x3_146')
4540 (17176, 'p00436x5_59')
4541 (117876, 'p00853_461')
4542 (23432, 'p00618x3_112')
4543 (94200, 'p00847osc7_462')
4544 (23870, 'p00448x4_86')
4545 (58373, 'p00482x5_167')
4546 (48827, 'p00673x2_200')
4547 (95445, 'p00827_465')
4548 (22999, 'p00652x3_108')
4549 (118650, 'p00853_462')
4550 (19305, 'p00358x5_69')
4551 (82712, 'p00618x3_302')
4552 (18857, 'p00698x4_55')
4553 (117249, 'p00905_456')
4554 (20160, 'p00436x9_72')
4555 (15151, 'p00559x5_44')
4556 (28208, 'p00363x4_97')
4557 (44440, 'p00399osc7x3_140')
4558 (86240, 'p00559x2_215')
4559 (119161, 'p00991_446')
4560 (6588, 'p00482x8_11')
4561 (118020, 'p00905_457')
4562 (48984, 'p00673x2_201')
4563 (43834, 'p00345x3_147')
4564 (49410, 'p00618x2_208')
4565 (58860, 'p00482x5_168')
4566 (14231, 'p00345x6_52')
4567 (119364, 'p00991_447')
4568 (10864, 'p00363x8_26')
4569 (118230, 'p00905_458')
4570 (16224, 'p00482x5_54')
4571 (96064, 'p00827_468')
4572 (6111, 'p00436x9_9')
4573 (119848, 'p00853_465')
4574 (86829, 'p00559x2_216')
4575 (64500, 'p00358x5_184')
4576 (24180, 'p00448x4_87')
4577 (118440, 'p00905_459')
4578 (24265, 'p00518osc7x3_126')
4579 (96685, 'p00827_469')
4580 (17442, 'p00436x5_60')
4581 (73152, 'p00436x9_200')
4582 (51576, 'p00571x2_215')
4583 (120360, 'p00991_449')
4584 (19140, 'p00698x4_56')
4585 (59349, 'p00482x5_169')
4586 (93702, 'p00485x2_226')
4587 (44254, 'p00345x3_148')
4588 (28545, 'p00363x4_98')
4589 (120270, 'p00853_467')
4590 (19584, 'p00358x5_70')
4591 (120564, 'p00991_450')
4592 (8910, 'p00358x8_27')
4593 (119426, 'p00905_461')
4594 (49612, 'p00673x2_203')
4595 (15400, 'p00559x5_45')
4596 (23430, 'p00652x3_110')
4597 (121052, 'p00853_468')
4598 (51744, 'p00571x2_216')
4599 (73695, 'p00436x9_201')
4600 (26892, 'p00358x4_99')
4601 (119637, 'p00905_462')
4602 (33884, 'p00662x3_109')
4603 (97308, 'p00827_472')
4604 (49830, 'p00718x2_198')
4605 (20083, 'p00369osc3x5_69')
4606 (88013, 'p00559x2_218')
4607 (121565, 'p00991_452')
4608 (24492, 'p00448x4_88')
4609 (120416, 'p00905_463')
4610 (16485, 'p00482x5_55')
4611 (44676, 'p00345x3_149')
4612 (27150, 'p00441x4_89')
4613 (97905, 'p00861osc7b_469')
4614 (14472, 'p00345x6_53')
4615 (65520, 'p00358x5_186')
4616 (19425, 'p00698x4_57')
4617 (74240, 'p00436x9_202')
4618 (94932, 'p00485x2_228')
4619 (97933, 'p00827_474')
4620 (12838, 'p00418x6_44')
4621 (122262, 'p00853_471')
4622 (88608, 'p00559x2_219')
4623 (85172, 'p00618x3_308')
4624 (6758, 'p00482x8_12')
4625 (60333, 'p00482x5_171')
4626 (20736, 'p00436x9_74')
4627 (98560, 'p00827_475')
4628 (50676, 'p00618x2_212')
4629 (122475, 'p00853_472')
4630 (19865, 'p00358x5_71')
4631 (122776, 'p00991_455')
4632 (11074, 'p00363x8_27')
4633 (121623, 'p00905_466')
4634 (94764, 'p00413osc7x2_238')
4635 (15651, 'p00559x5_46')
4636 (50464, 'p00718x2_200')
4637 (122688, 'p00853_473')
4638 (24308, 'p00618x3_116')
4639 (122982, 'p00991_456')
4640 (24806, 'p00448x4_89')
4641 (86691, 'p00518osc7x3_322')
4642 (50720, 'p00673x2_206')
4643 (99189, 'p00827_477')
4644 (6272, 'p00436x9_10')
4645 (60828, 'p00482x5_172')
4646 (52870, 'p00571x2_219')
4647 (86000, 'p00618x3_310')
4648 (19712, 'p00698x4_58')
4649 (122049, 'p00905_468')
4650 (16748, 'p00482x5_56')
4651 (99189, 'p00827_478')
4652 (29225, 'p00363x4_100')
4653 (75336, 'p00436x9_204')
4654 (89804, 'p00559x2_221')
4655 (66548, 'p00358x5_188')
4656 (9100, 'p00358x8_28')
4657 (122836, 'p00905_469')
4658 (50880, 'p00673x2_207')
4659 (45526, 'p00345x3_151')
4660 (17980, 'p00436x5_62')
4661 (123906, 'p00853_476')
4662 (14715, 'p00345x6_54')
4663 (124200, 'p00991_459')
4664 (27552, 'p00358x4_101')
4665 (61325, 'p00482x5_173')
4666 (96792, 'p00485x2_231')
4667 (99820, 'p00827_480')
4668 (13068, 'p00418x6_45')
4669 (100116, 'p00861osc7b_476')
4670 (20148, 'p00358x5_72')
4671 (44660, 'p00405osc9x3_144')
4672 (25122, 'p00448x4_90')
4673 (123264, 'p00905_471')
4674 (35000, 'p00662x3_112')
4675 (15904, 'p00559x5_47')
4676 (27816, 'p00441x4_91')
4677 (124915, 'p00853_478')
4678 (53523, 'p00571x2_221')
4679 (125216, 'p00991_461')
4680 (20001, 'p00698x4_59')
4681 (124055, 'p00905_472')
4682 (97416, 'p00485x2_232')
4683 (45954, 'p00345x3_152')
4684 (29568, 'p00363x4_101')
4685 (61824, 'p00482x5_174')
4686 (24752, 'p00618x3_118')
4687 (125424, 'p00991_462')
4688 (6930, 'p00482x8_13')
4689 (76440, 'p00436x9_206')
4690 (17013, 'p00482x5_57')
4691 (101088, 'p00827_483')
4692 (24304, 'p00652x3_114')
4693 (125928, 'p00853_480')
4694 (53694, 'p00571x2_222')
4695 (67584, 'p00358x5_190')
4696 (11286, 'p00363x8_28')
4697 (124485, 'p00905_474')
4698 (21320, 'p00436x9_76')
4699 (101088, 'p00827_484')
4700 (18252, 'p00436x5_63')
4701 (126144, 'p00853_481')
4702 (91613, 'p00559x2_224')
4703 (126445, 'p00991_464')
4704 (25440, 'p00448x4_91')
4705 (62325, 'p00482x5_175')
4706 (52002, 'p00673x2_210')
4707 (46384, 'p00345x3_153')
4708 (28152, 'p00441x4_92')
4709 (126360, 'p00853_482')
4710 (14960, 'p00345x6_55')
4711 (100750, 'p00847osc7_483')
4712 (20292, 'p00698x4_60')
4713 (125496, 'p00905_476')
4714 (98670, 'p00485x2_234')
4715 (16159, 'p00559x5_48')
4716 (6435, 'p00436x9_11')
4717 (127162, 'p00853_483')
4718 (92220, 'p00559x2_225')
4719 (88508, 'p00618x3_316')
4720 (9292, 'p00358x8_29')
4721 (125712, 'p00905_477')
4722 (35754, 'p00662x3_114')
4723 (102364, 'p00827_487')
4724 (52605, 'p00618x2_218')
4725 (20944, 'p00369osc3x5_72')
4726 (54352, 'p00571x2_224')
4727 (127680, 'p00991_467')
4728 (28220, 'p00358x4_103')
4729 (126511, 'p00905_478')
4730 (17280, 'p00482x5_58')
4731 (46816, 'p00345x3_154')
4732 (52390, 'p00718x2_206')
4733 (127596, 'p00853_485')
4734 (21615, 'p00436x9_77')
4735 (68628, 'p00358x5_192')
4736 (25760, 'p00448x4_92')
4737 (126728, 'p00905_479')
4738 (52649, 'p00673x2_212')
4739 (103005, 'p00827_489')
4740 (18526, 'p00436x5_64')
4741 (128402, 'p00853_486')
4742 (54841, 'p00571x2_225')
4743 (78111, 'p00436x9_209')
4744 (20585, 'p00698x4_61')
4745 (63333, 'p00482x5_177')
4746 (15540, 'p00399osc7x6_49')
4747 (103005, 'p00827_490')
4748 (30260, 'p00363x4_103')
4749 (128620, 'p00853_487')
4750 (20720, 'p00358x5_74')
4751 (128921, 'p00991_470')
4752 (7104, 'p00482x8_14')
4753 (127748, 'p00905_481')
4754 (52812, 'p00673x2_213')
4755 (16416, 'p00559x5_49')
4756 (53256, 'p00618x2_220')
4757 (128838, 'p00853_488')
4758 (15207, 'p00345x6_56')
4759 (129132, 'p00991_471')
4760 (11500, 'p00363x8_29')
4761 (78672, 'p00436x9_210')
4762 (100566, 'p00485x2_237')
4763 (103648, 'p00827_492')
4764 (13534, 'p00418x6_47')
4765 (63840, 'p00482x5_178')
4766 (94053, 'p00559x2_228')
4767 (90200, 'p00618x3_320')
4768 (26082, 'p00448x4_93')
4769 (128184, 'p00905_483')
4770 (17549, 'p00482x5_59')
4771 (104293, 'p00827_493')
4772 (28830, 'p00441x4_94')
4773 (129867, 'p00853_490')
4774 (55506, 'p00571x2_227')
4775 (69680, 'p00358x5_194')
4776 (20880, 'p00698x4_62')
4777 (128991, 'p00905_484')
4778 (101202, 'p00485x2_238')
4779 (47686, 'p00345x3_156')
4780 (18802, 'p00436x5_65')
4781 (104596, 'p00861osc7b_490')
4782 (25652, 'p00618x3_122')
4783 (130380, 'p00991_474')
4784 (9486, 'p00358x8_30')
4785 (64349, 'p00482x5_179')
4786 (53464, 'p00673x2_215')
4787 (104940, 'p00827_495')
4788 (6600, 'p00436x9_12')
4789 (130900, 'p00853_492')
4790 (21009, 'p00358x5_75')
4791 (91052, 'p00618x3_322')
4792 (28896, 'p00358x4_105')
4793 (129429, 'p00905_486')
4794 (36900, 'p00662x3_117')
4795 (16675, 'p00559x5_50')
4796 (53694, 'p00718x2_210')
4797 (79800, 'p00436x9_212')
4798 (95285, 'p00559x2_230')
4799 (131421, 'p00991_476')
4800 (26406, 'p00448x4_94')
4801 (130240, 'p00905_487')
4802 (53955, 'p00673x2_216')
4803 (48124, 'p00345x3_157')
4804 (29172, 'p00441x4_95')
4805 (64860, 'p00482x5_180')
4806 (15456, 'p00345x6_57')
4807 (131634, 'p00991_477')
4808 (21177, 'p00698x4_63')
4809 (92620, 'p00518osc7x3_336')
4810 (17820, 'p00482x5_60')
4811 (105589, 'p00827_498')
4812 (13770, 'p00418x6_48')
4813 (132158, 'p00853_495')
4814 (95904, 'p00559x2_231')
4815 (70740, 'p00358x5_196')
4816 (7280, 'p00482x8_15')
4817 (130680, 'p00905_489')
4818 (37286, 'p00662x3_118')
4819 (106240, 'p00827_499')
4820 (19080, 'p00436x5_66')
4821 (132379, 'p00853_496')
4822 (56350, 'p00571x2_230')
4823 (105244, 'p00847osc7_497')
4824 (11716, 'p00363x8_30')
4825 (65373, 'p00482x5_181')
4826 (103122, 'p00485x2_241')
4827 (48564, 'p00345x3_158')
4828 (54352, 'p00718x2_212')
4829 (132600, 'p00853_497')
4830 (21300, 'p00358x5_76')
4831 (132894, 'p00991_480')
4832 (26732, 'p00448x4_95')
4833 (80936, 'p00436x9_214')
4834 (54614, 'p00673x2_218')
4835 (16936, 'p00559x5_51')
4836 (25645, 'p00652x3_120')
4837 (106865, 'p00861osc7b_497')
4838 (56848, 'p00571x2_231')
4839 (92768, 'p00618x3_326')
4840 (21476, 'p00698x4_64')
4841 (131937, 'p00905_492')
4842 (22512, 'p00436x9_80')
4843 (106893, 'p00827_502')
4844 (31313, 'p00363x4_106')
4845 (21823, 'p00369osc3x5_75')
4846 (97148, 'p00559x2_233')
4847 (133945, 'p00991_482')
4848 (9682, 'p00358x8_31')
4849 (132756, 'p00905_493')
4850 (18093, 'p00482x5_61')
4851 (49006, 'p00345x3_159')
4852 (55233, 'p00618x2_226')
4853 (133866, 'p00853_500')
4854 (15707, 'p00345x6_58')
4855 (71808, 'p00358x5_198')
4856 (29580, 'p00358x4_107')
4857 (132978, 'p00905_494')
4858 (103584, 'p00413osc7x2_252')
4859 (107548, 'p00827_504')
4860 (6767, 'p00436x9_13')
4861 (134692, 'p00853_501')
4862 (97773, 'p00559x2_234')
4863 (93632, 'p00618x3_328')
4864 (27060, 'p00448x4_96')
4865 (66405, 'p00482x5_183')
4866 (38064, 'p00662x3_120')
4867 (108205, 'p00827_505')
4868 (29862, 'p00441x4_97')
4869 (82080, 'p00436x9_216')
4870 (21593, 'p00358x5_77')
4871 (135216, 'p00991_485')
4872 (21777, 'p00698x4_65')
4873 (134023, 'p00905_496')
4874 (105060, 'p00485x2_244')
4875 (17199, 'p00559x5_52')
4876 (31668, 'p00363x4_107')
4877 (135138, 'p00853_503')
4878 (22815, 'p00436x9_81')
4879 (107535, 'p00847osc7_504')
4880 (7458, 'p00482x8_16')
4881 (134246, 'p00905_497')
4882 (55444, 'p00673x2_221')
4883 (108864, 'p00827_507')
4884 (26100, 'p00652x3_122')
4885 (66924, 'p00482x5_184')
4886 (57702, 'p00571x2_234')
4887 (48548, 'p00405osc9x3_153')
4888 (11934, 'p00363x8_31')
4889 (134469, 'p00905_498')
4890 (18368, 'p00482x5_62')
4891 (108864, 'p00827_508')
4892 (55680, 'p00718x2_216')
4893 (50544, 'p00399osc7x3_154')
4894 (99029, 'p00559x2_236')
4895 (72884, 'p00358x5_200')
4896 (27390, 'p00448x4_97')
4897 (135296, 'p00905_499')
4898 (55944, 'p00673x2_222')
4899 (49896, 'p00345x3_161')
4900 (19642, 'p00436x5_68')
4901 (136416, 'p00853_506')
4902 (15960, 'p00345x6_59')
4903 (136710, 'p00991_489')
4904 (22080, 'p00698x4_66')
4905 (67445, 'p00482x5_185')
4906 (106362, 'p00485x2_246')
4907 (109525, 'p00827_510')
4908 (14248, 'p00418x6_50')
4909 (137250, 'p00853_507')
4910 (21888, 'p00358x5_78')
4911 (95372, 'p00618x3_332')
4912 (9880, 'p00358x8_32')
4913 (135744, 'p00905_501')
4914 (23120, 'p00436x9_82')
4915 (17464, 'p00559x5_53')
4916 (56571, 'p00618x2_230')
4917 (137475, 'p00853_508')
4918 (58384, 'p00571x2_236')
4919 (137776, 'p00991_491')
4920 (30272, 'p00358x4_109')
4921 (136575, 'p00905_502')
4922 (107016, 'p00485x2_247')
4923 (50344, 'p00345x3_162')
4924 (56350, 'p00718x2_218')
4925 (67968, 'p00482x5_186')
4926 (27032, 'p00618x3_128')
4927 (137994, 'p00991_492')
4928 (27722, 'p00448x4_98')
4929 (136800, 'p00905_503')
4930 (18645, 'p00482x5_63')
4931 (110853, 'p00827_513')
4932 (6936, 'p00436x9_14')
4933 (138538, 'p00853_510')
4934 (58891, 'p00571x2_237')
4935 (73968, 'p00358x5_202')
4936 (22385, 'p00698x4_67')
4937 (137025, 'p00905_504')
4938 (39246, 'p00662x3_123')
4939 (110853, 'p00827_514')
4940 (19926, 'p00436x5_69')
4941 (84392, 'p00436x9_220')
4942 (100928, 'p00559x2_239')
4943 (139065, 'p00991_494')
4944 (7638, 'p00482x8_17')
4945 (68493, 'p00482x5_187')
4946 (56784, 'p00673x2_225')
4947 (50794, 'p00345x3_163')
4948 (57246, 'p00618x2_232')
4949 (111492, 'p00861osc7b_511')
4950 (16215, 'p00345x6_60')
4951 (139284, 'p00991_495')
4952 (12154, 'p00363x8_32')
4953 (138086, 'p00905_506')
4954 (108330, 'p00485x2_249')
4955 (17731, 'p00559x5_54')
4956 (14490, 'p00418x6_51')
4957 (139832, 'p00853_513')
4958 (101565, 'p00559x2_240')
4959 (84975, 'p00436x9_221')
4960 (28056, 'p00448x4_99')
4961 (138312, 'p00905_507')
4962 (39644, 'p00662x3_124')
4963 (112189, 'p00827_517')
4964 (30912, 'p00441x4_100')
4965 (22720, 'p00369osc3x5_78')
4966 (59580, 'p00571x2_239')
4967 (140360, 'p00991_497')
4968 (22692, 'p00698x4_68')
4969 (139151, 'p00905_508')
4970 (18924, 'p00482x5_64')
4971 (51246, 'p00345x3_164')
4972 (32745, 'p00363x4_110')
4973 (140286, 'p00853_515')
4974 (27500, 'p00618x3_130')
4975 (75060, 'p00358x5_204')
4976 (10080, 'p00358x8_33')
4977 (85560, 'p00436x9_222')
4978 (57460, 'p00673x2_227')
4979 (112860, 'p00827_519')
4980 (20212, 'p00436x5_70')
4981 (141132, 'p00853_516')
4982 (59760, 'p00571x2_240')
4983 (98012, 'p00618x3_338')
4984 (30972, 'p00358x4_111')
4985 (69549, 'p00482x5_189')
4986 (23736, 'p00436x9_84')
4987 (112860, 'p00827_520')
4988 (57702, 'p00718x2_222')
4989 (141360, 'p00853_517')
4990 (22484, 'p00358x5_80')
4991 (112176, 'p00847osc7_518')
4992 (28392, 'p00448x4_100')
4993 (140448, 'p00905_511')
4994 (57969, 'p00673x2_228')
4995 (18000, 'p00559x5_55')
4996 (31266, 'p00441x4_101')
4997 (141588, 'p00853_518')
4998 (16472, 'p00345x6_61')
4999 (141882, 'p00991_501')
For primes bigger than 5000 my automated script always produces smaller guns.

When editing my get_area script, I changed the maximum trombone length from 100 to 1000 and replaced all instances of 1025 with 5000.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 1:55 pm
by googleplex
The last of the p1702+ guns are uploading now.
also, does it work to combine 2 out of 3s and 3 out of 4s to make a 11-out-of-12?

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 2:47 pm
by googleplex
new p1747, updated repository:

Code: Select all

x = 128, y = 130, rule = LifeHistory
33.2A8.A6.4B$32.B2AB5.3A5.4B$33.3B4.A7.4B$25.2A5.B.B5.2A5.4B$26.A5.
10B4.4B$26.A.AB2.8B5.4B$27.2AB.11B2.4B$29.9B2D7B$29.5B2A2BDBD5B$30.4B
2A2BD6B$30.14B$30.14B26.A$29.A.14B23.3A$28.A.A5.5B.4B21.A28.2A$29.A7.
4B2.4B20.2A27.A$37.2B5.4B17.4B28.A$36.4B5.4B15.3B25.2A2.2A$36.B2AB6.
4B14.4B24.A.A$27.A9.2A8.4B12.5B8.2A16.A.4A$27.3A12.B.3B.4B11.6B8.A15.
2A.A2.A$30.A10.18B2.8B8.A.AB9.7B$29.2A3.B5.2B2A11BD14B8.2AB.3B4.4B.2B
$29.8B3.2B2A9B3D13B11.7B.7B$31.8B.13BDBD4B.7B12.16B$14.A16.22BD15B12.
15B$14.3A13.15B.2B2.19B11.15B$17.A10.17B8.17B8.17B$16.2A3.2B2.19B11.
15B.2B2.20B$16.12BD15B12.22BD15B$10.2A6.10BDBD4B.7B13.8B.13BDBD4B.8B$
10.A5.12B3D13B10.8B3.2B2A9B3D4B2.7B$11.3A2.14BD14B9.2A3.B5.2B2A11BD4B
.8B$13.A20B2.8B11.A10.18B2.8B$15.12B11.6B8.3A12.B.3B.4B9.8B$16.11B11.
5B9.A19.4B11.7B.B$17.10B12.4B28.4B11.9B2A$7.2A3.2A.B.11B11.3B28.4B12.
9B2A$7.A.A.A.A14B12.4B25.4B11.9B.2B$9.A.A.B.13B14.2A24.4B12.9B$8.2A.
2A13B.B2A12.A24.4B13.10B$12.B.9B4.BA.A12.3A20.4B12.2AB.7B$14.9B7.A14.
A19.4B12.A.AB.6B$15.8B7.2A32.4B13.A5.4B$16.7B40.4B13.2A6.4B$13.11B38.
D3B23.4B$12.12B37.BDBD25.4B$12.12B36.2B2D27.4B$3.A8.11B36.4B29.4B$2.A
.A2.2A3.B3D4B.4B23.2A8.4B31.4B$.A.A2.A.A3.2BD4B4.2A22.B2AB6.4B33.4B$.
A2.2A6.2B3D2B4.A23.4B5.4B35.4B$2.A.A7.6B6.3A21.2B5.4B37.4B$.2A.A2.A3.
7B8.A13.A7.4B2.4B39.3BD13.2A$4.A.A.A.8B21.A.A5.5B.4B41.DBDB13.A$.4A2.
A4.5B23.A.14B4.A38.2D2B10.A5.2A$.A3.2A4.6B24.14B5.3A37.3B10.2A5.A$3.A
.B6.6B23.14B8.A37.2B.B11.3B.A.2A$2.2AB2AB3.7B23.4B2A2BD6B6.A.A37.B.2B
7.2A2B2A.A2.A$5.2AB.8B23.5B2A2BDBD5B5.A.AB38.3B5.B2A2B.A.2A$2.2A3.10B
23.9B2D7B5.A3B37.4B5.4B.A$2.A4.6B2A3B20.2AB.11B2.4B6.4B36.4B3.4B.2A$
3.A3.6B2A2B5.2A13.A.AB2.8B5.4B5.6B35.6BA3B$2.2A3.10B5.A14.A5.10B4.4B
4.7B35.4BABA2B7.2A$6.11B2.BA.A13.2A5.B.B5.2A5.4B2.8B.4B.B29.4BA3B8.A$
6.7B3C2B.B2A22.3B4.A7.17B.B2A29.10B3.B.A.2A$5.8BC6B23.B2AB5.3A5.18B2A
29.4BD2B2A2B.B3A2.A$4.10BC5B24.2A8.A5.16B.2B30.2BDBD2B2A3BAB2.2A$.2B.
16B40.5BD10B33.3B2D7B4A$2A18B40.6BD8B32.2AB.7B3.2B.A$2AB.17B37.2AB.2B
3D7B32.A.AB.7B2.B3A$.B.4B.8B2.4B35.A.AB2.11B32.A5.5B3.A$8.7B4.4B34.A
5.10B3.2A27.2A5.4B5.5A$9.6B5.4B32.2A5.2B2A6B3.A34.4B10.A$11.4B6.4B37.
3B2A6B4.A32.4B9.A$13.3BA5.4B37.10B3.2A31.4B10.2A$14.BA.A5.4B36.8B.B2A
33.4B$15.A.A6.4B34.7B.B.B2AB2A29.4B$16.A8.4B33.6B2.B3.B.A29.4B$17.3A
6.4B33.8B2.2A3.A26.4B$19.A7.4B32.8B.A2.4A25.4B$28.4B30.8B.A.A.A27.4B$
29.4B20.A8.7B3.A2.A.2A23.4B$30.4B19.3A6.6B7.A.A23.4B$31.4B21.A4.2B3D
2B6.2A2.A21.4B$32.4B19.2A4.4BD2B3.A.A2.A.A20.4B$33.4B18.4B.4B3DB3.2A
2.A.A20.4B$34.4B19.11B8.A20.4B$35.4B17.12B28.4B$36.4B16.12B27.4B$37.
4B15.11B27.4B$38.4B13.9B29.4B$39.4B9.2B.10B27.4B$40.4B7.16B.B4.3B15.
4B$41.4B3.28B14.4B$42.33B2A12.4B$43.32B2A11.4B$44.30B.B11.4B$45.29B
12.4B$46.26B13.4B$47.18B5.B13.4B$48.14B21.4B$48.14B20.4B$50.5B4.2B20.
4B$51.4B5.2B18.4B$52.4B3.B2AB16.4B$53.4B3.2A16.4B$54.4B19.4B$55.4B6.A
10.4B$56.4B5.3A7.4B$57.4B7.A5.4B$58.4B5.2A4.4B$59.4B4.9B$60.4B5.6B$
61.4B2.3BD4B$62.7BD7B$63.6B3D5B$64.13B$65.10B.B2A$66.4B2AB3.BA.A$67.
3B2AB6.A$68.5B6.2A$69.3B$66.AB.3B$65.A.AB2AB$65.A.ABABAB$62.2A.A.A.A.
A2.A$62.A2.A2.2A.4A$64.2A4.A$70.A.A$71.2A!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 2:54 pm
by googleplex
dvgrn wrote: What does the "adj" suffix mean on the gun names in the repository, by the way? Does it just mean basically "+8N"? If there are two possible adjustments like in the p3171+8N case, maybe it would actually make sense to notate it as "p3171+16M+8N".
The adj suffix means it can be adjusted (eg. not a queztal). I'll work on implementing the notation suggested here. if there are two possible ways to adjust it 8N, It will be notated as +8N2.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 3:12 pm
by dvgrn
googleplex wrote:The last of the p1702+ guns are uploading now.
also, does it work to combine 2 out of 3s and 3 out of 4s to make a 11-out-of-12?
No, they ordinarily don't add, they multiply. Think about what happens when you feed eight gliders into a 3-out-of-4, and six gliders come out, and you feed them into a 2-out-of-3. You'll get four gliders out, which is 8 * (3/4) * (2/3).

However, you can get some very weird things by wiring up the output of a later stage to suppress some earlier stage. Dean Hickerson ended up with Fibonacci numbers that way. See the quintupler pattern in the period-multipliers thread for an example.

Anyway, for 11-out-of-12 specifically, just wire up the extra output of a glider splitter to a quadri-Snark and a tremi-Snark, followed by a beehive stopper on the main output of the splitter. Or if the color of the glider ends up being wrong to feed the beehive stopper, use two semi-Snarks and a tremi-Snark instead -- or find another way to remove one glider using the period-multiplied output. That's going to be a pretty cheap way to remove one signal out of (2^i)(3^j)(5^k).

So multiples of 7 are really the first problem cases -- like a 6-out-of-7 or 13-out-of-14. Those can be built, but they take an extra stage to bump the count up or down to the nearest easy (2^i)(3^j)(5^k) value.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 3:34 pm
by googleplex
While looking through the period-multiplier thread, I noticed this 2-out-of-3:

Code: Select all

x = 155, y = 59, rule = LifeHistory
3.3D$3.D3B$4.D3B$5.4B$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$12.4B$13.4B14.
2B$14.4B13.3B7.2A$15.4B11.5B6.A51.2A$16.4B.B5.B.7B2.BA.A51.A59.2A$17.
20B.B2A50.A.A59.A$17.22B52.2A58.A.A$17.14B2D6B112.2A$17.9B2D3B2D6B41.
2B.2C$18.8B2D10B40.2C3B2C$16.2AB2.16B41.2C5B$15.A.AB4.B.10B33.2A9.6B$
15.A11.8B32.A.A9.7B42.2A$14.2A12.7B32.A11.8B40.A.A$25.11B30.2A11.8B
40.A$24.12B41.3B2D6B38.2A$24.12B40.4B2D7B51.2C$24.11B41.12B52.2C$24.B
3C4B.4B39.11B51.4B$24.2BC4B4.2A39.B3C4B.4B47.5B$24.2B3C2B4.A40.2BC4B
4.2A47.B3C2B$24.6B6.3A37.2B3C2B4.A48.2BC3B5.2A$23.7B8.A37.6B6.3A45.2B
3CB5.A$22.4B.B47.7B8.A46.5B6.3A$21.4B49.4B.B57.5B8.A$20.4B49.4B61.3B$
19.4B49.4B62.3B$18.4B49.4B64.B$17.4B49.4B$16.4B49.4B$15.4B49.4B$14.4B
49.4B$13.4B49.4B$12.4B49.4B$11.4B49.4B$10.4B49.4B$9.4B49.4B$8.4B49.4B
$7.4B49.4B$6.4B49.4B$5.4B49.4B$4.4B49.4B$3.4B49.4B$2.4B49.4B$.4B49.4B
$DBDB49.4B$2DB49.DBDB$.D50.2DB$53.D!
You can either suppress the other glider or perhaps use it as an output to the gun.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 5:01 pm
by dvgrn
googleplex wrote:new p1747, updated repository:

Code: Select all

x = 128, y = 130, rule = LifeHistory...
Nice! Here's a small boring reduction:

Code: Select all

#C smaller p1739+8N, N=1: period-1747 gun
x = 128, y = 119, rule = LifeHistory
70.A$68.3A$44.A22.A28.2A$44.3A20.2A27.A$47.A17.4B28.A$46.2A16.3B25.2A
2.2A$46.4B14.4B24.A.A$27.A19.4B12.5B8.2A16.A.4A$27.3A12.B.3B.4B11.6B
8.A15.2A.A2.A$30.A10.18B2.8B8.A.AB9.7B$29.2A3.B5.2B2A11BD14B8.2AB.3B
4.4B.2B$29.8B3.2B2A9B3D13B11.7B.7B$31.8B.13BDBD4B.7B12.16B$14.A16.22B
D15B12.15B$14.3A13.15B.2B2.19B11.15B$17.A10.17B8.17B8.17B$16.2A3.2B2.
19B11.15B.2B2.20B$16.12BD15B12.22BD15B$10.2A6.10BDBD4B.7B13.8B.13BDBD
4B.8B$10.A5.12B3D13B10.8B3.2B2A9B3D4B2.7B$11.3A2.14BD14B9.2A3.B5.2B2A
11BD4B.8B$13.A20B2.8B11.A10.18B2.8B$15.12B11.6B8.3A12.B.3B.4B9.8B$16.
11B11.5B9.A19.4B11.7B.B$17.10B12.4B28.4B11.9B2A$7.2A3.2A.B.11B11.3B
28.4B12.9B2A$7.A.A.A.A14B12.4B25.4B11.9B.2B$9.A.A.B.13B14.2A24.4B12.
9B$8.2A.2A13B.B2A12.A24.4B13.10B$12.B.9B4.BA.A12.3A20.4B12.2AB.7B$14.
9B7.A14.A19.4B12.A.AB.6B$15.8B7.2A32.4B13.A5.4B$16.7B40.4B13.2A6.4B$
13.11B38.D3B23.4B$12.12B37.BDBD25.4B$12.12B36.2B2D27.4B$3.A8.11B36.4B
29.4B$2.A.A2.2A3.B3D4B.4B23.2A8.4B31.4B$.A.A2.A.A3.2BD4B4.2A22.B2AB6.
4B33.4B$.A2.2A.B4.2B3D2B4.A23.4B5.4B35.4B$2.A.A2.2B3.6B6.3A21.2B5.4B
37.4B$.2A.A.BA2B.7B8.A13.A7.4B2.4B39.4B13.2A$4.A.A.A9B21.A.A5.5B.4B
41.4B13.A$.4A2.A.8B23.A.14B4.A38.4B10.A5.2A$.A3.2A4.6B24.14B5.3A37.4B
9.2A5.A$3.A.B6.6B23.14B8.A37.4B11.3B.A.2A$2.2AB2AB3.7B23.8BD6B6.A.A
37.4B7.2A2B2A.A2.A$5.2AB.8B23.3B2A4BDBD5B5.A.AB37.4B5.B2A2B.A.2A$2.2A
3.10B23.3B2A4B2D7B5.A3B37.4B5.4B.A$2.A4.6B2A3B20.2AB.11B2.4B6.4B36.4B
3.4B.2A$3.A3.6B2A2B5.2A13.A.AB2.8B5.4B5.6B35.10B$2.2A3.10B5.A14.A5.
10B4.4B4.7B35.9B7.2A$6.11B2.BA.A13.2A5.B.B5.2A5.4B2.8B.4B.B29.8B8.A$
6.7B3D2B.B2A22.3B4.A7.17B.B2A29.10B3.B.A.2A$5.8BDB2A3B23.B2AB5.3A5.
18B2A29.7B2A2B.B3A2.A$4.10BDABA2B24.2A8.A5.16B.2B30.7B2A3BAB2.2A$.2B.
11BA4B40.5BD10B33.12B4A$2A18B40.6BD8B32.2AB.7B3.2B.A$2AB.17B37.2AB.2B
3D7B32.A.AB.7B2.B3A$.B.4B.8B2.4B35.A.AB2.11B32.A5.5B3.A$8.7B4.4B34.A
5.10B3.2A27.2A5.4B5.5A$9.6B5.4B32.2A5.2B2A6B3.A34.4B10.A$11.4B6.4B37.
3B2A6B4.A32.4B9.A$13.3BA5.4B37.10B3.2A31.4B10.2A$14.BA.A5.4B36.8B.B2A
33.4B$15.A.A6.4B34.7B.B.B2AB2A29.4B$16.A8.4B33.6B2.B3.B.A29.4B$17.3A
6.4B33.8B2.2A3.A26.4B$19.A7.4B32.8B.A2.4A25.4B$28.4B30.9BA.A.A27.4B$
29.4B20.A8.7B.2BAB.A.2A23.4B$30.4B19.3A6.6B3.2B2.A.A23.4B$31.4B21.A4.
2B3D2B4.B.2A2.A21.4B$32.4B19.2A4.4BD2B3.A.A2.A.A20.4B$33.4B18.4B.4B3D
B3.2A2.A.A20.4B$34.4B19.11B8.A20.4B$35.4B17.12B28.4B$36.4B16.12B27.4B
$37.4B15.11B27.4B$38.4B13.9B12.2A15.4B$39.4B9.2B.10B11.A15.4B$40.4B7.
16B.B4.BABA14.4B$41.4B3.26B2A14.4B$42.33B14.4B$43.32B13.4B$44.32B11.
4B$45.30B11.4B$46.29B10.4B$47.18B5.B.4B8.4B$48.14B11.4B6.4B$48.14B12.
4B4.4B$50.5B4.2B14.4B2.4B$51.4B5.2B14.8B$52.4B3.B2AB14.6B$53.4B3.2A
16.4B$54.4B19.6B$55.4B6.A10.8B$56.4B5.3A7.4B2.4B$57.4B7.A5.4B4.4B$58.
4B5.2A4.4B6.4B$59.4B4.9B8.4B$60.4B5.6B10.4B$61.4B2.3BD4B11.4B$62.7BD
7B10.4B$63.6B3D5B11.4B$64.13B12.4B$65.10B.B2A11.4B$66.4B2AB3.BA.A11.
4B$67.3B2AB6.A12.4B$68.5B6.2A12.4B$69.3B22.4B$66.AB.3B23.4B$65.A.AB2A
B24.4B$65.A.ABABAB24.4B$62.2A.A.A.A.A2.A23.4B$62.A2.A2.2A.4A24.4B$64.
2A4.A29.3BA$70.A.A28.3BA$71.2A29.3A!
Looks like we can also get 1803+8N by switching the CC semi-Snark for a CC semi-cenark -- but that doesn't do much good, since 1803 is still 3 mod 8:

Code: Select all

#C p1803+8N, N=0: period-1803 gun
x = 132, y = 123, rule = LifeHistory
70.A$68.3A$44.A22.A28.2A$44.3A20.2A27.A$47.A17.4B28.A$46.2A16.3B25.2A
2.2A$46.4B14.4B24.A.A$27.A19.4B12.5B8.2A16.A.4A$27.3A12.B.3B.4B11.6B
8.A15.2A.A2.A$30.A10.18B2.8B8.A.AB9.7B$29.2A3.B5.2B2A11BD14B8.2AB.3B
4.4B.2B$29.8B3.2B2A9B3D13B11.7B.7B$31.8B.13BDBD4B.7B12.16B$14.A16.22B
D15B12.15B$14.3A13.15B.2B2.19B11.15B$17.A10.17B8.17B8.17B$16.2A3.2B2.
19B11.15B.2B2.20B$16.12BD15B12.22BD15B$10.2A6.10BDBD4B.7B13.8B.13BDBD
4B.8B$10.A5.12B3D13B10.8B3.2B2A9B3D4B2.7B$11.3A2.14BD14B9.2A3.B5.2B2A
11BD4B.8B$13.A20B2.8B11.A10.18B2.8B$15.12B11.6B8.3A12.B.3B.4B9.8B$16.
11B11.5B9.A19.4B11.7B.B$17.10B12.4B28.4B11.9B2A$7.2A3.2A.B.11B11.3B
28.4B12.9B2A$7.A.A.A.A14B12.4B25.4B11.9B.2B$9.A.A.B.13B14.2A10.2A12.
4B12.9B$8.2A.2A13B.B2A12.A11.A.A10.4B13.10B$12.B.9B4.BA.A12.3A10.A9.
4B12.2AB.7B$14.9B7.A14.A9.A.2A6.4B12.A.AB.6B$15.8B7.2A23.A2.A5.4B13.A
5.4B$16.7B30.2ABA6.4B13.2A6.4B$13.11B28.A.A.2A4.4B23.4B$12.12B28.BAB.
B4.4B25.4B$12.12B22.2A5.5B2.4B27.4B$3.A8.11B24.A6.9B29.4B$2.A.A2.2A3.
B3D4B.4B22.A.AB2.5BD2AB31.4B$.A.A2.A.A3.2BD4B4.2A23.2AB.5BDB2A33.4B$.
A2.2A.B4.2B3D2B4.A26.7B3D2B33.4B$2.A.A2.2B3.6B6.3A23.12B34.4B$.2A.A.B
A2B.7B8.A23.12B35.4B$4.A.A.A9B33.5B2A2B.B2A34.4B$.4A2.A.8B34.5BABA2.B
A.A34.4B$.A3.2A4.6B34.6BAB5.A35.4B$3.A.B6.6B33.7B6.2A35.4B13.2A$2.2AB
2AB3.7B31.8B45.4B13.A$5.2AB.8B28.2A.9B46.4B10.A5.2A$2.2A3.10B28.A2.A
9B7.A38.4B9.2A5.A$2.A4.6B2A3B28.3A3B.B.4B6.3A37.4B11.3B.A.2A$3.A3.6B
2A2B5.2A25.B2.3B.4B8.A37.4B7.2A2B2A.A2.A$2.2A3.10B5.A19.2A.A.2A2.B2AB
2.4B6.A.A37.4B5.B2A2B.A.2A$6.11B2.BA.A19.A.2A.A4.2A4.4B5.A.AB37.4B5.
4B.A$6.7B3D2B.B2A25.A11.4B5.A3B37.4B3.4B.2A$5.8BD6B27.2A11.4B6.4B36.
10B$4.10BD5B41.4B5.6B35.9B7.2A$.2B.16B42.4B4.7B35.8B8.A$2A18B43.4B2.
8B.4B.B29.10B3.B.A.2A$2AB.17B43.17B.B2A28.7B2A2B.B3A2.A$.B.4B.8B2.4B
43.18B2A28.7B2A3BAB2.2A$8.7B4.2B2A42.16B.2B29.12B4A$9.6B5.BABA41.5BD
10B30.2AB.7B3.2B.A$11.4B6.A3B40.6BD8B30.A.AB.7B2.B3A$13.3BA5.4B37.2AB
.2B3D7B31.A5.5B3.A$14.BA.A5.4B35.A.AB2.11B30.2A5.4B5.5A$15.A.A6.4B34.
A5.10B3.2A32.4B10.A$16.A8.4B32.2A5.2B2A6B3.A32.4B9.A$17.3A6.4B37.3B2A
6B4.A30.4B10.2A$19.A7.4B37.10B3.2A29.4B$28.4B36.8B.B2A31.4B$29.4B34.
7B.B.B2AB2A27.4B$30.4B33.6B2.B3.B.A27.4B$31.4B33.8B2.2A3.A24.4B$32.4B
32.8B.A2.4A23.4B$33.4B30.9BA.A.A25.4B$34.4B20.A8.7B.2BAB.A.2A21.4B$
35.4B19.3A6.6B3.2B2.A.A21.4B$36.4B21.A4.2B3D2B4.B.2A2.A19.4B$37.4B19.
2A4.4BD2B3.A.A2.A.A18.4B$38.4B18.4B.4B3DB3.2A2.A.A18.4B$39.4B19.11B8.
A18.4B$40.4B17.12B26.4B$41.4B16.12B25.4B$42.4B15.11B25.4B$43.4B13.9B
12.2A13.4B$44.4B9.2B.10B11.A13.4B$45.4B7.16B.B4.BABA12.4B$46.4B3.26B
2A12.4B$47.33B12.4B$48.32B11.4B$49.32B9.4B$50.30B9.4B$51.29B8.4B$52.
18B5.B.4B6.4B$53.14B11.4B4.4B$53.14B12.4B2.4B$55.5B4.2B14.8B$56.4B5.
2B14.6B$57.4B3.B2AB14.4B$58.4B3.2A14.6B$59.4B6.A10.8B$60.4B5.3A7.4B2.
4B$61.4B7.A5.4B4.4B$62.4B5.2A4.4B6.4B$63.4B4.9B8.4B$64.4B5.6B10.4B$
65.4B2.3BD4B11.4B$66.7BD7B10.4B$67.6B3D5B11.4B$68.13B12.4B$69.10B.B2A
11.4B$70.4B2AB3.BA.A11.4B$71.3B2AB6.A12.4B$72.5B6.2A12.4B$73.3B22.4B$
70.AB.3B23.4B$69.A.AB2AB24.4B$69.A.ABABAB24.4B$66.2A.A.A.A.A2.A23.4B$
66.A2.A2.2A.4A24.4B$68.2A4.A29.3BA$74.A.A28.3BA$75.2A29.3AB!
Another good trick for changing parity might be to replace a Snark with a syringe+dependent H-to-G, which also reduces the bounding box. The usual thing will be to go from even to odd, so testing it on the above pattern will go the other way, changing p1803+8N to p1804+8N:

Code: Select all

#C p1804+8N, N=0: period-1804 gun
#C -- just showing a sample replacement of a Snark to change the parity.
x = 132, y = 121, rule = LifeHistory
62.2A$61.B2AB11.2A.A.2A$62.3B4.A.2A.A2.A.2A2.A$61.B.B5.2A.A.2A.A4.A.A
$61.5B8.B2.5A.A$61.6B6.2ABA4.A$61.8B4.2A.A.AB2.A$62.13B2.A.A2B.A10.2A
$60.13B5.A2B.2A8.A2.A$59.15B3.3B12.3A$59.15B3.2B22.2A$58.17B.4B12.3A
5.A.A$58.29B4.BA2.A4.A$57.9B2D2B2A11BD4B4.2B2A3.2A$56.9BDBD2B2A9B3D4B
2.3B.B4.B6.2A$55.2AB3.6BD13BDBD4B.7B2.2B6.A$54.A2.A4.19BD13B2.5B.BA.A
$53.A.2A5.6B3.B2.2B2.24B.B2A$53.A7.6B14.23B$52.2A6.9B14.21B$59.4B4.2A
15.20B$58.4B5.A15.22B$57.4B7.3A12.22B$56.4B10.A10.2AB.3B4.12B$55.4B
21.A.AB8.12B$54.4B22.A11.13B23.A$53.4B22.2A12.12B21.3A$52.4B35.5B3.6B
7.2A11.A$51.4B36.2A6.2B3D2B6.A5.A6.2A$50.4B38.A6.2BD4B3.BA.A4.A.A3.4B
$49.4B36.3A7.B3D4B2.B2A6.A.5B$48.4B37.A9.11B9.7B$47.4B48.11B9.4B2A4B.
B$46.4B49.11B9.4B2A3B.B2A$45.4B51.11B8.11B2A$44.4B52.2B.7B9.9B.2B$43.
4B52.11B4.2B2.10B$42.4B53.10B4.2A13B$41.4B52.12B4.2A7B3D3B$40.4B51.
13B6.2B.7BD3B$39.4B51.17B6.6BD2B.B2A$38.4B52.18B7.7B.BA.A$37.4B27.2A
22.2AB.13B2A2B5.7B5.A$36.4B29.A21.A.AB3.4B.6B2AB5.8B5.2A$35.4B29.A22.
A8.B4.8B3.4B2.4B$34.4B30.2A2.2A16.2A15.6B2.4B4.4B$33.4B34.A.A11.A20.
7B.4B6.4B$32.4B30.4A.A11.3A20.6B.4B8.4B$31.4B31.A2.A.2AB8.A24.9B10.4B
$30.5B35.5B7.2A23.8B12.4B$29.6B36.4B4.5B22.8B14.3BA$27.9B33.B.11B24.
7B16.ABA$27.9B32.2AB.11B3.BA9.2A7.6B18.2A$26.10B32.2A14B.BA.A9.A6.2B
3D2B19.B$25.12B32.2B.15B2A3.2A4.A.AB3.4BD2B$24.14B33.15B2.B2A2.A5.2AB
2.4B3DB$23.15B8.2A22.7B2A8B2A2.2A8.11B$22.15B9.A22.4B2.BABA2B2D3B.A2.
A10.11B$21.4B2.12B4.BA.A21.4B4.BA3BDBDB4.2A10.11B$20.4B3.15B.B2A10.A
10.4B7.3BD2AB15.11B$19.4B4.17B12.3A7.4B9.3B2A2B15.7B.2B$18.4B5.17B15.
A5.4B8.5B.4B14.11B$17.4B3.B.17B15.2A4.4B4.2A3.2A5.4B14.10B$16.4B3.2A
19B14.9B6.A4.A6.4B13.12B$3.2A10.4B4.2AB.19B14.6B7.A.3A8.4B13.13B$4.A
9.4B6.B4.20B2.2B2.B3.6B5.2A.A.A11.4B9.17B$2.A10.4B12.16BD19B4.A2.A15.
4B7.18B$2.5A5.4B5.2A6.9B.4BDBD13BD6B3.B2A17.4B5.2B2A13B.B2A$7.A3.5B5.
A8.7B2.4B3D9B2A2BDBD9B19.2B2A5.B2A6B.4B3.BA.A$4.3AB2.7B.BA.A8.7B2.4BD
11B2A2B2D9B21.2A2B3.8B4.B8.A$3.A.2B2.8B.B2A9.6B4.29B23.BA2B2.6B15.2A$
3.4A12B11.7B10.4B.17B24.4B.7B$.2A2.BA3B2A7B11.6B12.3B2.15B26.4B.6B$A
2.3AB.2B2A7B10.7B11.21B27.9B$2A.A.B3.10B11.6B7.2A.2BA5.13B29.8B$3.A8.
8B11.5B7.A.2BA.A2.13B32.8B$3.2A7.9B10.6B7.A2.BA.A.2A4.8B32.7B8.A$12.
10B10.5B8.A4.AB2A6.6B33.6B6.3A$9.2A.4B3.4B9.B2A2B6.A.5A2.B8.5B33.2B3D
2B4.A$9.A.4B5.4B9.2A7.A.A4.A.2A.A.2A5.B.B33.2BD4B4.2A$6.2A.A.2B2AB5.
4B18.A2.2A.A2.A.2A.A4.3B23.A10.B3D4B.4B$4.A2.A.2A2B2A7.4B18.2A.A.2A
11.B2AB22.3A8.11B$4.2A.A.3B11.4B36.2A26.A7.12B$7.A5.2A9.4B62.2A7.12B$
7.2A5.A10.4B61.5B5.11B$12.A13.4B62.3B8.7B$12.2A13.4B59.7B.3B.8B$28.4B
57.20B$29.4B55.4B2A4B2A4BA5B$30.4B53.4BA2BA3BABA3BA6B$31.4B51.5BA2BA
5BA2BA8B$32.4B49.4B.BABA10BA7B$33.4B47.4B3.7B2A4BA7B2.2A$34.4B34.A10.
4B5.B2.15B.BA2.A$35.4B33.3A7.4B8.3B7.8B3A$36.4B13.B21.A5.4B9.2BAB9.2B
.2B$37.4B11.3B19.2A4.4B11.2A14.B2A.A.2A$38.5B8.6B17.9B6.2A22.A.2A.A$
39.8B3.7B2.4B13.6B7.A23.A$39.26B2.2B2.B3.6B5.2A.A22.2A$38.23BD19B4.A
2.A$34.3B.21BDBD13BD6B3.B2A$34.22B2AB3D9B2A2BDBD9B$33.2A21B2ABD11B2A
2B2D9B$33.2AB.48B$34.B3.23B5.B.17B$38.18B2.B10.15B$39.17B13.15B$39.
17B14.13B$37.19B12.13B$37.18B11.A.2A4.8B$37.12B2.4B9.3AB2A6.6B$38.11B
14.A4.B8.5B$41.8B15.3A.2A9.B.B$39.10B17.A.A9.3B$39.2A2.4B.B2A.A13.A.A
9.B2AB$40.A7.B2AB3A12.A11.2A$37.3A10.B4.A$37.A11.2A.3A$48.A2.2A$48.2A!
EDIT: restored a couple of missing cells per Gamedziner's note

There seem to be only a couple other NE H-to-Gs that keep the same parity as a Snark, notably HNE8T3 which appears to change timing by +6 / -2 relative to a Snark. So here's p1801, which is prime:

Code: Select all

#C p1793+8N, N=1:  period-1801 gun
x = 133, y = 122, rule = LifeHistory
63.2A$62.B2AB11.2A.A.2A$63.3B4.A.2A.A2.A.2A2.A$62.B.B5.2A.A.2A.A4.A.A
$62.5B8.B2.5A.A$62.6B6.2ABA4.A$62.8B4.2A.A.AB2.A$63.13B2.A.A2B.A10.2A
$61.13B5.A2B.2A8.A2.A$60.15B3.3B12.3A$60.15B3.2B22.2A$59.17B.4B12.3A
5.A.A$59.29B4.BA2.A4.A$58.9B2D2B2A11BD4B4.2B2A3.2A$57.9BDBD2B2A9B3D4B
2.3B.B4.B6.2A$56.2AB3.6BD13BDBD4B.7B2.2B6.A$55.A2.A4.19BD13B2.5B.BA.A
$54.A.2A5.6B3.B2.2B2.24B.B2A$54.A7.6B14.23B$53.2A6.9B14.21B$60.4B4.2A
15.20B$59.4B5.A15.22B$58.4B7.3A12.22B$57.4B10.A10.2AB.3B4.12B$56.4B
21.A.AB8.12B$55.4B22.A11.13B23.A$54.4B22.2A12.12B21.3A$53.4B35.5B3.6B
7.2A11.A$52.4B36.2A6.2B3D2B6.A5.A6.2A$51.4B38.A6.2BD4B3.BA.A4.A.A3.4B
$50.4B36.3A7.B3D4B2.B2A6.A.5B$49.4B37.A9.11B9.7B$48.4B48.11B9.4B2A4B.
B$47.4B49.11B9.4B2A3B.B2A$46.4B51.11B8.11B2A$45.4B52.2B.7B9.9B.2B$44.
4B52.11B4.2B2.10B$43.4B53.10B4.2A13B$42.4B52.12B4.2A7B3D3B$41.4B51.
13B6.2B.7BD3B$40.4B51.17B6.6BD2B.B2A$39.4B52.18B7.7B.BA.A$38.4B27.2A
22.2AB.13B2A2B5.7B5.A$37.4B29.A21.A.AB3.4B.6B2AB5.8B5.2A$36.4B29.A22.
A8.B4.8B3.4B2.4B$35.4B30.2A2.2A16.2A15.6B2.4B4.4B$34.4B34.A.A11.A20.
7B.4B6.4B$33.4B30.4A.A11.3A20.6B.4B8.4B$32.4B31.A2.A.2AB8.A24.9B10.4B
$31.5B35.5B7.2A23.8B12.4B$30.6B36.4B4.5B22.8B14.3BA$28.9B33.B.11B24.
7B16.ABA$28.9B32.2AB.11B3.BA9.2A7.6B18.2A$27.10B32.2A14B.BA.A9.A6.2B
3D2B19.B$26.12B32.2B.15B2A3.2A4.A.AB3.4BD2B$25.14B33.15B2.B2A2.A5.2AB
2.4B3DB$24.15B8.2A22.7B2A8B2A2.2A8.11B$23.15B9.A22.4B2.BABA2B2D3B.A2.
A10.11B$22.4B2.12B4.BA.A21.4B4.BA3BDBDB4.2A10.11B$21.4B3.15B.B2A10.A
10.4B7.3BD2AB15.11B$20.4B4.17B12.3A7.4B9.3B2A2B15.7B.2B$19.4B5.17B15.
A5.4B8.5B.4B14.11B$18.4B3.B.17B15.2A4.4B4.2A3.2A5.4B14.10B$17.4B3.2A
19B14.9B6.A4.A6.4B13.12B$16.4B4.2AB.19B14.6B7.A.3A8.4B13.13B$3.2A10.
4B6.B4.20B2.2B2.B3.6B5.2A.A.A11.4B9.17B$4.A9.4B12.16BD19B4.A2.A15.4B
7.18B$2.A10.4B13.9B.4BDBD13BD6B3.B2A17.4B5.2B2A13B.B2A$2.5A5.4B5.2A8.
7B2.4B3D9B2A2BDBD9B19.2B2A5.B2A6B.4B3.BA.A$7.A3.5B5.A9.7B2.4BD11B2A2B
2D9B21.2A2B3.8B4.B8.A$4.3AB2.7B.BA.A9.6B4.29B23.BA2B2.6B15.2A$3.A.2B
2.8B.B2A10.7B10.4B.17B24.4B.7B$3.4A12B12.6B12.3B2.15B26.4B.6B$.2A2.BA
3B2A7B11.7B11.21B27.9B$A2.3AB.2B2A7B12.6B7.2A.2BA5.13B29.8B$2A.A.B3.
10B13.5B7.A.2BA.A2.13B32.8B$3.A8.8B12.6B7.A2.BA.A.2A4.8B32.7B8.A$3.2A
7.9B12.5B8.A4.AB2A6.6B33.6B6.3A$12.10B11.B2A2B6.A.5A2.B8.5B33.2B3D2B
4.A$9.2A.4B3.4B11.2A7.A.A4.A.2A.A.2A5.B.B33.2BD4B4.2A$9.A.4B5.4B20.A
2.2A.A2.A.2A.A4.3B23.A10.B3D4B.4B$6.2A.A.2B2AB5.4B20.2A.A.2A11.B2AB
22.3A8.11B$4.A2.A.2A2B2A7.4B38.2A26.A7.12B$4.2A.A.3B11.4B64.2A7.12B$
7.A5.2A9.4B63.5B5.11B$7.2A5.A10.4B64.3B8.7B$12.A13.4B61.7B.3B.8B$12.
2A13.4B59.20B$28.4B57.4B2A4B2A4BA5B$29.4B55.4BA2BA3BABA3BA6B$30.4B53.
5BA2BA5BA2BA8B$31.4B14.A36.4B.BABA10BA7B$32.4B11.3A35.4B3.7B2A4BA7B2.
2A$33.4B9.A37.4B5.B2.15B.BA2.A$34.4B8.2A35.4B8.3B7.8B3A$35.4B3.6B10.
2A22.4B9.2BAB9.2B.2B$36.4B.5B12.A22.4B11.2A14.B2A.A.2A$37.11B7.BA.A
21.4B30.A.2A.A$35.13B3.3B.B2A10.A10.4B31.A$34.2A20B12.3A7.4B31.2A$34.
2A20B15.A5.4B$35.20B15.2A4.4B$35.21B14.9B6.2A$38.20B14.6B7.A$39.22B2.
2B2.B3.6B5.2A.A$37.4B.15BD19B4.A2.A$37.2A4.7B.4BDBD13BD6B3.B2A$38.A4.
6B2.4B3D9B2A2BDBD9B$35.3A4.6B3.4BD11B2A2B2D9B$35.A6.4B6.29B$42.2B2AB
12.4B.17B$40.2AB.2A14.2B3.15B$39.A.AB16.3B3.15B$39.A15.2A.2BA5.13B$
38.2A15.A.2BA.A2.13B$56.A2.BA.A.2A4.8B$57.A4.AB2A6.6B$55.A.5A2.B8.5B$
54.A.A4.A.2A.A.2A5.B.B$55.A2.2A.A2.A.2A.A4.3B$56.2A.A.2A11.B2AB$75.2A!
Back-porting that to the p1739+8N series produces p1761+8N, which starts being useful at prime period 1777:

Code: Select all

#C p1761+8N, N=2: period-1777 gun
x = 120, y = 120, rule = LifeHistory
70.A$68.3A$44.A22.A28.2A$44.3A20.2A27.A$47.A17.4B28.A$46.2A16.3B25.2A
2.2A$46.4B14.4B24.A.A$27.A19.4B12.5B8.2A16.A.4A$27.3A12.B.3B.4B11.6B
8.A15.2A.A2.A$30.A10.18B2.8B8.A.AB9.7B$29.2A3.B5.2B2A11BD14B8.2AB.3B
4.4B.2B$29.8B3.2B2A9B3D13B11.7B.7B$31.8B.13BDBD4B.7B12.16B$14.A16.22B
D15B12.15B$14.3A13.15B.2B2.19B11.15B$17.A10.17B8.17B8.17B$16.2A3.2B2.
19B11.15B.2B2.20B$16.12BD15B12.22BD15B$10.2A6.10BDBD4B.7B13.8B.13BDBD
4B.8B$10.A5.12B3D13B10.8B3.2B2A9B3D4B2.7B$11.3A2.14BD14B9.2A3.B5.2B2A
11BD4B.8B$13.A20B2.8B11.A10.18B2.8B$15.12B11.6B8.3A12.B.3B.4B9.8B$16.
11B11.5B9.A19.4B11.7B.B$17.10B12.4B28.4B11.9B2A$7.2A3.2A.B.11B11.3B
28.4B12.9B2A$7.A.A.A.A14B12.4B25.4B11.9B.2B$9.A.A.B.13B14.2A24.4B12.
9B$8.2A.2A13B.B2A12.A24.4B13.10B$12.B.9B4.BA.A12.3A20.4B12.2AB.7B$14.
9B7.A14.A19.4B12.A.AB.6B$15.8B7.2A32.4B13.A5.4B$16.7B40.4B13.2A6.4B$
13.11B38.D3B23.4B7.A$12.12B37.BDBD25.4B6.3A$12.12B36.2B2D27.4B8.A$3.A
8.11B36.4B29.4B6.A.A$2.A.A2.2A3.B3D4B.4B23.2A8.4B31.4B5.A.AB$.A.A2.A.
A3.2BD4B4.2A22.B2AB6.4B33.4B5.A3B$.A2.2A.B4.2B3D2B4.A23.4B5.4B35.4B6.
4B$2.A.A2.2B3.6B6.3A21.2B5.4B37.4B5.6B$.2A.A.BA2B.7B8.A13.A7.4B2.4B
39.4B4.7B$4.A.A.A9B21.A.A5.5B.4B41.4B2.8B.4B.B$.4A2.A.8B23.A.14B4.A
38.17B.B2A$.A3.2A4.6B24.14B5.3A37.18B2A$3.A.B6.6B23.14B8.A36.16B.2B$
2.2AB2AB3.7B23.8BD6B6.A.A35.5BD10B$5.2AB.8B23.3B2A4BDBD5B5.A.AB34.6BD
8B$2.2A3.10B23.3B2A4B2D7B5.A3B31.2AB.2B3D7B$2.A4.6B2A3B20.2AB.11B2.4B
6.4B28.A.AB2.11B$3.A3.6B2A2B5.2A13.A.AB2.8B5.4B5.6B26.A5.10B3.2A$2.2A
3.10B5.A14.A5.10B4.4B4.7B24.2A5.2B2A6B3.A$6.11B2.BA.A13.2A5.B.B5.2A5.
4B2.8B.4B.B23.3B2A6B4.A$6.7BD2C2B.B2A22.3B4.A7.17B.B2A23.10B3.2A$5.8B
DABA3B23.B2AB5.3A5.18B2A23.8B.B2A$4.10BC5B24.2A8.A5.16B.2B23.7B3.B2AB
2A$.2B.16B40.5BD10B26.6B6.B.A$2A18B40.6BD8B28.6B4.2A3.A$2AB.17B37.2AB
.2B3D7B29.8B.A2.4A$.B.4B.8B2.4B35.A.AB2.11B28.9BA.A.A$8.7B4.4B34.A5.
10B3.2A15.A8.7B.2BAB.A.2A$9.6B5.4B32.2A5.2B2A6B3.A16.3A6.6B3.2B2.A.A$
11.4B6.4B37.3B2A6B4.A18.A4.2B3D2B4.B.2A2.A$13.3BA5.4B37.10B3.2A17.2A
4.4BD2B3.A.A2.A.A$14.BA.A5.4B36.8B.B2A20.4B.4B3DB3.2A2.A.A$15.A.A6.4B
34.7B.B.B2AB2A19.11B8.A$16.A8.4B33.6B2.B3.B.A19.12B$17.3A6.4B33.8B2.
2A3.A17.12B$19.A7.4B32.8B.A2.4A17.11B$28.4B30.9BA.A.A21.7B$29.4B20.A
8.7B.2BAB.A.2A10.2A6.8B$30.4B19.3A6.6B3.2B2.A.A12.A6.9B$31.4B21.A4.2B
3D2B4.B.2A2.A11.A.AB.12B$32.4B19.2A4.4BD2B3.A.A2.A.A12.2AB.12B.B$33.
4B18.4B.4B3DB3.2A2.A.A15.15B2A$34.4B19.11B8.A16.15B2A$35.4B17.12B25.
16B$36.4B16.12B25.11B2.5B$37.4B15.11B27.9B6.2A$38.4B13.9B12.2A17.9B5.
A$39.4B9.2B.10B11.A17.10B6.3A$40.4B7.16B.B4.BABA16.9B.B2A6.A$41.4B3.
26B2A16.9B2.BA.A$42.33B16.4B.5B5.A$43.32B15.4B2.B2A2B5.2A$44.32B13.4B
4.2A$45.30B13.4B$46.29B12.4B$47.18B5.B.4B10.4B$48.14B11.4B8.4B$48.14B
12.4B6.4B$50.5B4.2B14.4B4.4B$51.4B5.2B14.4B2.4B$52.4B3.B2AB14.8B$53.
4B3.2A16.6B$54.4B21.4B$55.4B19.6B$56.4B6.A10.8B$57.4B5.3A7.4B2.4B$58.
4B7.A5.4B4.4B$59.4B5.2A4.4B6.4B$60.4B4.9B8.4B$61.4B5.7B9.4B$62.4B2.9B
10.4B$63.15B.B8.4B$64.15B2A.2A5.4B$65.14B2A.A2.A4.4B$66.15B3.2A5.4B$
67.4B2AB4.4B10.4B$68.3B2AB3.A2.AB11.4B$70.4B3.4AB12.4B$70.3B10.A11.4B
$67.AB.2B7.5A12.4B$66.A.AB2AB6.A17.4B$66.A.ABABAB7.A16.4B$63.2A.A.A.A
.A2.A4.2A17.4B$63.A2.A2.2A.4A24.4B$65.2A4.A29.3BA$71.A.A28.3BA$72.2A
29.3AB!
-- Let's see, replacing that Snark should have added 22 ticks, a 6 mod 8 change. And it did! I love it when basic arithmetic works the way it's supposed to.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 5:56 pm
by googleplex
P1811, adjusted from dvgrn:

Code: Select all

x = 133, y = 124, rule = LifeHistory
70.A$68.3A$44.A22.A28.2A$44.3A20.2A27.A$47.A17.4B28.A$46.2A16.3B25.2A
2.2A$46.4B14.4B24.A.A$27.A19.4B12.5B8.2A16.A.4A$27.3A12.B.3B.4B11.6B
8.A15.2A.A2.A$30.A10.18B2.8B8.A.AB9.7B$29.2A3.B5.2B2A11BD14B8.2AB.3B
4.4B.2B$29.8B3.2B2A9B3D13B11.7B.7B$31.8B.13BDBD4B.7B12.16B$14.A16.22B
D15B12.15B$14.3A13.15B.2B2.19B11.15B$17.A10.17B8.17B8.17B$16.2A3.2B2.
19B11.15B.2B2.20B$16.12BD15B12.22BD15B$10.2A6.10BDBD4B.7B13.8B.13BDBD
4B.8B$10.A5.12B3D13B10.8B3.2B2A9B3D4B2.7B$11.3A2.14BD14B9.2A3.B5.2B2A
11BD4B.8B$13.A20B2.8B11.A10.18B2.8B$15.12B11.6B8.3A12.B.3B.4B9.8B$16.
11B11.5B9.A19.4B11.7B.B$17.10B12.4B28.4B11.9B2A$7.2A3.2A.B.11B11.3B
28.4B12.9B2A$7.A.A.A.A14B12.4B25.4B11.9B.2B$9.A.A.B.13B14.2A10.2A12.
4B12.9B$8.2A.2A13B.B2A12.A11.A.A10.4B13.10B$12.B.9B4.BA.A12.3A10.A9.
4B12.2AB.7B$14.9B7.A14.A9.A.2A6.4B12.A.AB.6B$15.8B7.2A23.A2.A5.4B13.A
5.4B$16.7B30.2ABA6.4B13.2A6.4B$13.11B28.A.A.2A4.4B23.4B$12.12B28.BAB.
B4.4B25.4B$12.12B22.2A5.5B2.4B27.4B$3.A8.11B24.A6.9B29.4B$2.A.A2.2A3.
B3D4B.4B22.A.AB2.5BD2AB31.4B$.A.A2.A.A3.2BD4B4.2A23.2AB.5BDB2A33.4B$.
A2.2A.B4.2B3D2B4.A26.7B3D2B33.4B$2.A.A2.2B3.6B6.3A23.12B34.4B$.2A.A.B
A2B.7B8.A23.12B35.4B$4.A.A.A9B33.5B2A2B.B2A34.4B$.4A2.A.8B34.5BABA2.B
A.A34.4B$.A3.2A4.6B34.6BAB5.A35.4B$3.A.B6.6B33.7B6.2A35.4B$2.2AB2AB3.
7B31.8B45.4B13.2A$5.2AB.8B28.2A.9B46.4B13.A$2.2A3.10B28.A2.A9B7.A38.
4B10.A5.2A$2.A4.6B2A3B28.3A3B.B.4B6.3A37.4B9.2A5.A$3.A3.6B2A2B5.2A25.
B2.3B.4B8.A37.4B11.3B.A.2A$2.2A3.10B5.A19.2A.A.2A2.B2AB2.4B6.A.A37.4B
7.2A2B2A.A2.A$6.11B2.BA.A19.A.2A.A4.2A4.4B5.A.AB37.4B5.B2A2B.A.2A$6.
7B3D2B.B2A25.A11.4B5.A3B37.4B5.4B.A$5.8BD6B27.2A11.4B6.4B36.4B3.4B.2A
$4.10BD5B41.4B5.6B35.10B$.2B.16B42.4B4.7B35.9B7.2A$2A18B43.4B2.8B.4B.
B29.8B8.A$2AB.17B43.17B.B2A29.10B3.B.A.2A$.B.4B.8B2.2B2A43.18B2A29.7B
2A2B.B3A2.A$8.7B4.BABA42.16B.2B30.7B2A3BAB2.2A$9.6B5.A3B41.5BD10B33.
12B4A$11.4B6.4B40.6BD8B32.2AB.7B3.2B.A$13.3BA5.4B37.2AB.2B3D7B32.A.AB
.7B2.B3A$14.BA.A5.4B35.A.AB2.11B32.A5.5B3.A$15.A.A6.4B34.A5.10B3.2A
27.2A5.4B5.5A$16.A8.4B32.2A5.2B2A6B3.A34.4B10.A$17.3A6.4B37.3B2A6B4.A
32.4B9.A$19.A7.4B37.10B3.2A31.4B10.2A$28.4B36.8B.B2A33.4B$29.4B34.7B.
B.B2AB2A29.4B$30.4B33.6B2.B3.B.A29.4B$31.4B33.8B2.2A3.A26.4B$32.4B32.
8B.A2.4A25.4B$33.4B30.9BA.A.A27.4B$34.4B20.A8.7B.2BAB.A.2A23.4B$35.4B
19.3A6.6B3.2B2.A.A23.4B$36.4B21.A4.2B3D2B4.B.2A2.A21.4B$37.4B19.2A4.
4BD2B3.A.A2.A.A20.4B$38.4B18.4B.4B3DB3.2A2.A.A20.4B$39.4B19.11B8.A20.
4B$40.4B17.12B28.4B$41.4B16.12B27.4B$42.4B15.11B27.4B$43.4B13.9B12.2A
15.4B$44.4B9.2B.10B11.A15.4B$45.4B7.16B.B4.BABA14.4B$46.4B3.26B2A14.
4B$47.33B14.4B$48.32B13.4B$49.32B11.4B$50.30B11.4B$51.29B10.4B$52.18B
5.B.4B8.4B$53.14B11.4B6.4B$53.14B12.4B4.4B$55.5B4.2B14.4B2.4B$56.4B5.
2B14.8B$57.4B3.B2AB14.6B$58.4B3.2A16.4B$59.4B19.6B$60.4B6.A10.8B$61.
4B5.3A7.4B2.4B$62.4B7.A5.4B4.4B$63.4B5.2A4.4B6.4B$64.4B4.9B8.4B$65.4B
5.6B10.4B$66.4B2.3BD4B11.4B$67.7BD7B10.4B$68.6B3D5B11.4B$69.13B12.4B$
70.10B.B2A11.4B$71.4B2AB3.BA.A11.4B$72.3B2AB6.A12.4B$73.5B6.2A12.4B$
74.3B22.4B$71.AB.3B23.4B$70.A.AB2AB24.4B$70.A.ABABAB24.4B$67.2A.A.A.A
.A2.A23.4B$67.A2.A2.2A.4A24.4B$69.2A4.A29.3BA$75.A.A28.3BA$76.2A29.3A
B!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 6:41 pm
by Jormungant
Well, I did not make it in a prime gun or in the 4 digit range; however, I hope the following is inspiring. Here is some 595668+8N gun:

Code: Select all

x = 104, y = 118, rule = LifeHistory
25.A2.2A15.2A$25.4A.A14.A.A$30.A16.A4.2A$23.7A.2A10.4A.2A2.A2.A$22.A
2.B3.A.A2.A8.A2.A.A.A.A.2A$22.2A2.2A.AB2.2A10.BABABA.A$25.B2AB2A15.B
2ABA.A$26.5B16.2B.BA$27.3B16.3B$26.5B6.2A6.4B$25.2B2DAB7.A6.B2A3B$17.
2A6.3BABC2B5.A.AB3.B2A3B$18.A5.4BABC2B6.2AB.10B$18.A.AB3.B2DBC2B9.13B
$19.2AB.10B8.14B$21.13B7.15B$21.14B8.8B2.4B$21.15B7.6B5.4B19.5B$23.8B
2.4B5.9B4.4B17.9B$23.6B5.4B3.4B4.2A5.4B16.9B$22.9B4.4B.4B5.A7.4B15.9B
$21.4B4.2A5.7B7.3A5.4B13.10B$20.4B5.A7.5B10.A6.4B11.12B$19.4B7.3A4.5B
18.4B.3B6.13B$18.4B10.A3.7B18.8B6.11B$17.4B14.4B.4B17.8B4.12B$4.2A10.
4B14.4B3.4B10.A4.25B$5.A9.4B14.4B5.4B7.3A4.8B2D15B$3.A7.2B.5B4.2A7.4B
7.4B5.A8.7B2D15B$3.2A6.7B5.A7.4B9.4B4.2A9.23B.B$.2A2.BAB.2B2C6B.BA.A
6.4B3.2A6.9B9.24B2A$A2.4A3BA2BC5B.B2A6.4B5.A7.6B12.21B.B2A$2A.A2.4BD
2A8B7.4B6.A.2A5.6B3.B2.2B2.20B4.B$.A.A.2A3BD2BD7B6.4B8.A2.A4.19BC16B$
.A.A.2AB.4BD7B5.4B10.2AB3.20BCBC14B$2A.AB.B3.11B4.4B11.15B2A9B3C13B$
3.A8.B.8B2.4B14.13B2A11BC13B2.A$3.A.A8.13B16.30B.8B2.3A$4.2A9.3B2.6B
17.17B.B.2B10.7B5.A$13.5B3.4B19.15B4.3B10.6B4.A.A$13.2A5.6B18.15B5.A
2B.2A6.7B3.A.AB$14.A4.8B18.13B5.A.A2B.A7.5B5.A3B$11.3A4.4B2.4B19.13B
2.A.AB2.A8.6B6.4B$11.A5.4B4.4B17.8B4.2A.A.A3.A7.9B5.6B$16.4B6.4B16.6B
6.2ABA2.4A.A5.2A.7B4.7B$3.2A10.4B8.4B15.5B8.B2.A.A3.A.A5.A5.4B2.8B.4B
.B$4.A9.4B10.4B14.B.B9.2A.2A2.A2.A.A2.3A7.17B.B2A$2.A10.4B12.4B14.3B
9.A.A2.2A3.A3.A10.18B2A$2.5A5.4B5.2A7.4B12.B2AB9.A.A22.16B.2B$7.A4.4B
5.A9.4B12.2A11.A23.16B$4.3AB2.7B.BA.A10.4B48.15B$3.A.2B3.7B.B2A12.4B
45.2AB.12B$3.4A12B15.4B43.A.AB2.11B$.2A2.BA3B2A7B16.4B42.A5.10B$A2.3A
B.2B2A7B17.4B10.2A28.2A5.2B2A6B$2A.A.B3.10B18.4B9.A35.3B2A6B$3.A8.8B
11.2A5.4B.2B7.A34.10B$3.2A7.9B11.A5.7B6.2A34.8B.B2A.A$13.3B2.4B10.A.A
B.6B2C2B.BAB.B2A31.7B3.B2AB3A$11.5B3.4B10.2AB.5BC2BA3B4A.BA30.6B6.B4.
A$11.2A7.4B11.8B2AD4B2.A.2A10.2A2.A16.6B4.2A.3A$12.A8.4B10.7BD2BD3B2A
.A.A10.A.4A16.5B4.A2.2A$9.3A10.4B9.7BD4B.B2A.A.A10.A20.8B.A.A$9.A13.
4B8.11B3.B.BA.2A7.2A.7A13.2BA5BA.A.2A.A$24.4B6.8B.B8.A8.A2.A.A3.B2.A
3.2A7.B3A2B.2BAB.A.2A$25.4B4.9B8.A.A8.2A2.BA.2A2.2A4.A6.2B3DAB2.2B2.A
$26.4B2.4B2.3B9.2A13.2AB2AB7.A.AB3.2B2AD2A3.B.2A$27.8B3.5B22.5B9.2AB
2.2B2AD2CB2.A.A2.2A$28.6B7.2A23.3B12.5B2AB2AB2.2A2.A2.A$29.4B8.A23.5B
11.6BA2BAB7.2A$28.6B8.3A20.BA2D2B10.7B3AB$27.8B9.A20.CBA3B6.2A.8B2AB$
26.4B2.4B29.CBA4B5.A3.7B.2B$25.4B4.4B28.BCB2DB3.BA.A3.11B$12.2A10.4B
6.4B27.8B.B2A5.10B$13.A9.4B8.4B23.13B7.12B$11.A7.2B.4B5.2A3.4B21.14B
8.13B$11.2A6.7B5.A5.4B19.15B5.17B$9.2A2.BAB.2B2C6B.BA.A6.4B17.4B2.8B
6.18B$8.A2.4A3BA2BC5B.B2A8.4B15.4B5.6B5.2B2A13B.B2A$8.2A.A2.4BD2A8B
11.4B13.4B4.9B5.B2A6B.4B3.BA.A$9.A.A.2A3BD2BD7B12.4B11.4B5.2A4.4B3.8B
4.B8.A$9.A.A.2AB.4BD7B13.4B9.4B7.A5.4B2.6B15.2A$8.2A.AB.B3.11B14.4B7.
4B5.3A7.4B.7B$11.A8.B.8B14.4B5.4B6.A10.4B.6B$11.A.A8.9B14.4B3.4B19.9B
$12.2A9.3B2.4B14.4B.4B21.8B$21.5B3.4B6.A7.7B23.8B$21.2A7.4B5.3A6.5B
25.7B8.A$22.A8.4B7.A5.5B26.6B6.3A$19.3A10.4B5.2A4.7B25.2B3D2B4.A$19.A
13.4B4.9B.4B24.2BD4B4.2A$34.4B5.6B3.4B23.B3D4B.4B$35.4B2.8B4.4B22.11B
$36.15B3.4B21.12B$37.14B4.4B20.12B$38.13B5.4B20.11B$39.10B.B2A4.4B22.
7B$40.2BCB2DB3.BA.A4.4B12.B7.8B$39.2BCBA4B5.A5.4B9.7B.9B$39.2BCBA3B6.
2A5.4B7.18B2.2A$41.BA2D2B14.4B5.19B.B.A$41.5B16.4B4.21B.A.2A$42.3B18.
4B3.21B2A.A$41.5B18.4B2.21B.B.A$41.2AB2AB18.17B.8B2A.A.2A$37.2A2.BA.
2A2.2A10.2A4.15B3.8BABA2.A$37.A2.A.A3.B2.A10.A.A2.13B7.7BA2.A$39.2A.
7A13.A2.13B11.B.2B2A$41.A20.2A15B4.A4.A2.A.A$41.A.4A13.2A2.14B3.3A4.
4A3.A$42.2A2.A12.A2.4AB3.9B.A11.4A$60.2A2.BAB4.9B.A8.2A$62.2A7.8B.2A
8.A2.A$62.A8.7B14.2A$64.A6.6B$63.2A6.5B$72.3B!
Enjoy!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 7:04 pm
by dvgrn
Jormungant wrote:Well, I did not make it in a prime gun or in the 4 digit range; however, I hope the following is inspiring. Here is some 595668+8N gun...
Wow, inspiring is right. That design should be able to make some surprisingly small guns in the four-digit range.

It's a little different from the multipath guns we've been putting together so far. The modified syringe+NW31 at the top simultaneously suppresses the old signal circulating in the main loop, adds a new signal to the loop, and produces the gun's output. Very elegant!

So who's going to swap out a few of the pieces and produce an odd-period gun series (or four)?

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 7:31 pm
by Jormungant
Well, I had to try already, at least... So, here is a P1993 gun, so a valid entry for the proof of concept:

Code: Select all

x = 129, y = 130, rule = LifeHistory
66.4B$67.4B$29.2A37.4B$29.A.A37.4B$31.A4.2A32.4B$27.4A.2A2.A2.A31.4B$
27.A2.A.A.A.A.2A32.4B$29.BABABA.A19.2A15.4B$30.B2ABA.A19.A.A15.4B$31.
2B.BA22.A4.2A10.4B$30.3B21.4A.2A2.A2.A9.4B$21.2A6.4B21.A2.A.A.A.A.2A
10.4B$22.A6.B2A3B21.BABABA.A14.4B$22.A.AB3.B2A3B22.B2ABA.A15.4B$23.2A
B.10B21.2B.BA17.4B$25.13B19.3B21.4B$25.14B9.2A6.4B22.4B$25.15B9.A6.B
2A3B21.4B$27.8B2.4B8.A.AB3.B2A3B22.4B$27.6B5.4B8.2AB.10B21.4B$26.9B4.
4B9.13B21.4B$25.4B4.2A5.4B8.14B21.4B$24.4B5.A7.4B7.15B21.4B$23.4B7.3A
5.4B8.8B2.4B20.4B$22.4B10.A6.4B7.6B5.4B19.5B$9.2A10.4B19.4B5.9B4.4B
17.9B$10.A9.4B21.4B3.4B4.2A5.4B16.9B$8.A10.4B23.4B.4B5.A7.4B15.9B$8.
5A2.2B.5B4.2A18.7B7.3A5.4B13.10B$13.A.7B5.A20.5B10.A6.4B11.12B$10.3A
2BD7B.BA.A20.5B18.4B.3B6.13B$9.A.2B.9B.B2A20.7B18.8B6.11B$9.4A12B21.
4B.4B17.8B4.12B$7.2A2.BA3B2A7B20.4B3.4B10.A4.25B$6.A2.3AB.2B2A7B19.4B
5.4B7.3A4.8B2D15B$6.2A.A.B2.11B18.4B7.4B5.A8.7B2D15B$9.A6.B.8B16.4B9.
4B4.2A9.23B.B$9.2A7.9B14.4B3.2A6.9B9.24B2A$19.3B2.4B12.4B5.A7.6B12.
21B.B2A$17.5B3.4B10.4B6.A.2A5.6B3.B2.2B2.20B4.B$17.2A7.4B8.4B8.A2.A4.
19BC16B$18.A8.4B6.4B10.2AB3.20BCBC14B$15.3A10.4B4.4B11.15B2A9B3C13B$
15.A13.4B2.4B14.13B2A11BC13B2.A$30.8B16.30B.8B2.3A$31.6B17.17B.B.2B
10.7B5.A$32.4B19.15B4.3B10.6B4.A.A$31.6B18.15B5.A2B.2A6.7B3.A.AB$30.
8B18.13B5.A.A2B.A7.5B5.A3B$29.4B2.4B19.13B2.A.AB2.A8.6B6.4B$28.4B4.4B
17.8B4.2A.A.A3.A7.9B5.6B$27.4B6.4B16.6B6.2ABA2.4A.A5.2A.7B4.7B$14.2A
10.4B8.4B15.5B8.B2.A.A3.A.A5.A5.4B2.8B.4B.B$15.A9.4B10.4B14.B.B9.2A.
2A2.A2.A.A2.3A7.17B.B2A$13.A10.4B12.4B14.3B9.A.A2.2A3.A3.A10.18B2A$
13.5A5.4B5.2A7.4B12.B2AB9.A.A22.16B.2B$18.A4.4B5.A9.4B12.2A11.A23.16B
$15.3AB2.7B.BA.A10.4B48.15B$14.A.2B3.7B.B2A12.4B45.2AB.12B$14.4A12B
15.4B43.A.AB2.11B$12.2A2.BA3B2A7B16.4B42.A5.10B$11.A2.3AB.2B2A7B17.4B
40.2A5.2B2A6B$11.2A.A.B3.10B18.4B10.2A33.3B2A6B$14.A8.8B18.4B9.A35.
10B$14.2A7.9B18.4B10.A33.8B.B2A.A$24.3B2.4B11.2A5.4B5.5A32.7B3.B2AB3A
$22.5B3.4B11.A5.4B4.A37.6B6.B4.A$22.2A7.4B10.A.AB.7B2.B3A14.2A2.A16.
6B4.2A.3A$23.A8.4B10.2AB.7B3.2B.A12.A.4A16.5B4.A2.2A$20.3A10.4B11.12B
4A12.A20.8B.A.A$20.A13.4B10.7B2A3BAB2.2A8.2A.7A13.8BA.A.2A.A$35.4B9.
7B2A2B.B3A2.A5.A2.A.A3.B2.A3.2A7.6B.2BAB.A.2A$36.4B8.10B3.B.A.2A5.2A
2.BA.2A2.2A4.A6.2B3D2B2.2B2.A$37.4B6.8B8.A12.2AB2AB7.A.AB3.4BD2B3.B.
2A$38.4B4.9B7.2A12.5B9.2AB2.4B3DB2.A.A2.2A$39.4B2.4B2.3B23.3B12.11B2.
2A2.A2.A$40.8B3.5B20.5B11.11B7.2A$41.6B7.2A20.2B2C2B10.11B$42.4B8.A
19.2BDB2A2B6.2A.11B$41.6B8.3A16.2BD6B5.A3.7B.2B$40.8B9.A17.2BDB2DB3.B
A.A3.11B$39.4B2.4B25.10B.B2A5.10B$38.4B4.4B23.13B7.12B$37.4B6.4B21.
14B8.13B$36.4B8.4B19.15B5.17B$35.4B10.4B17.4B2.8B6.18B$34.4B12.4B15.
4B5.6B5.2B2A13B.B2A$33.4B14.4B13.4B4.9B5.B2A6B.4B3.BA.A$32.4B16.4B11.
4B5.2A4.4B3.8B4.B8.A$31.4B18.4B9.4B7.A5.4B2.6B15.2A$30.4B20.4B7.4B5.
3A7.4B.7B$20.2A7.4B22.4B5.4B6.A10.4B.6B$19.B2AB5.4B24.4B3.4B19.9B$19.
3B5.4B26.4B.4B21.8B$20.B.B3.4B28.7B23.8B$18.6B.4B30.5B25.7B8.A$18.10B
31.5B26.6B6.3A$11.B3.12B7.2A22.7B25.2B3D2B4.A$11.B2.12B8.A22.4B.4B24.
2BD4B4.2A$11.14B6.BA.A21.4B3.4B23.B3D4B.4B$10.15B2.3B.B2A10.A10.4B5.
4B22.11B$7.2B.22B12.3A7.4B7.4B21.12B$6.2A24B15.A5.4B9.4B20.12B$6.2AB.
21B15.2A4.4B11.4B20.11B$7.B.23B14.9B6.2A5.4B22.7B$13.21B14.6B7.A7.4B
12.B7.8B$11.B5.20B2.2B2.B3.6B5.2A.A8.4B9.7B.9B$18.15BD19B4.A2.A10.4B
7.4BA13B2.2A$19.7B.4BDBD20B3.B2A12.4B5.5B2A12B.B.A$19.6B2.4B3D9B2A14B
14.4B4.7BA13B.A.2A$18.6B3.4BD11B2A13B16.4B3.4BABA14B2A.A$18.4B6.29B
18.4B2.3B2A16B.B.A$18.2B2AB12.2B.B.17B19.8BA8B.8B2A.A.2A$16.2AB.2A12.
3B4.15B15.2A4.15B3.8BABA2.A$15.A.AB11.2A.2BA5.15B15.A.A2.13B7.7BA2.A$
15.A14.A.2BA.A5.13B18.A2.6B3A4B11.B.2B2A$14.2A15.A2.BA.A2.13B20.2A7BA
2BA4B4.A4.A2.A.A$32.A3.A.A.2A4.8B17.2A2.7BA3BA2B3.3A4.4A3.A$30.A.4A2.
AB2A6.6B16.A2.4AB3.3B3A3B.A11.4A$29.A.A3.A.A2.B8.5B17.2A2.BAB4.9B.A8.
2A$29.A.A2.A2.2A.2A9.B.B19.2A7.BA2BA3B.2A8.A2.A$30.A3.2A2.A.A9.3B20.A
8.4BA2B14.2A$38.A.A9.B2AB21.A6.B3A2B$39.A11.2A21.2A6.5B$83.3B!
This is quite versatile as you might have guessed. Variants will be needed to fix the 8-way parity issue, but this should allow to cover the whole 4 digit range (and beyond).

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 7:32 pm
by chris_c
dvgrn wrote:
Jormungant wrote:Well, I did not make it in a prime gun or in the 4 digit range; however, I hope the following is inspiring. Here is some 595668+8N gun...
Wow, inspiring is right. That design should be able to make some surprisingly small guns in the four-digit range.

It's a little different from the multipath guns we've been putting together so far. The modified syringe+NW31 at the top simultaneously suppresses the old signal circulating in the main loop, adds a new signal to the loop, and produces the gun's output. Very elegant!

So who's going to swap out a few of the pieces and produce an odd-period gun series (or four)?
Agree with all points! Blocking the circulating glider, creating a new one and creating an output glider all with a single H->G is very elegant.

I swapped the SE7T14 with an SE5T23 and added a little catalysis to destroy the circulating glider cleanly. I ended up with a prime period 618997 oscillator since I forgot about producing a glider output!

Code: Select all

x = 111, y = 125, rule = B3/S23
26bo2b2o$26b4obo$31bo$24b7ob2o$23bo6bobo2bo12b2o$23b2o2b2obo3b2o12bobo
$27b2ob2o18bo4b2o$46b4ob2o2bo2bo$46bo2bobobobob2o$49bobobobo$30bo19b2o
bobo$18b2o9bobo22bo$19bo9bobo$19bobo8bo9b2o$20b2o19bo7b2o$41bobo5b2o$
42b2o5$30b2o$30bo$31b3o18b2o$33bo18bo$53b3o13b2o11b2o$55bo13b2o11b2o$
4b2o$5bo$3bo19b2o34bo$3b2o18bo33b3o$b2o3bo4b2o8bobo32bo$o2b4o3bo2bo7b
2o33b2o$2obo7b2o28b2o$bobob2o35bo45b2o$bobob2o35bob2o42b2o$2obo39bo2bo
23bo$3bo40b2o24bobo$3bobo53b2o9b3o$4b2o53b2o11bo2$13b2o73bo$14bo72bobo
$11b3o74bo$11bo55bo3b2o18bo$66bobo3bo18b3o$62b2obobo3bo22bo$62b2obo4bo
7b2o13bobo$66b5obo4bobo13bobo$6b2o50b2obob2obo4bobo3bo16bo$7bo50bob2ob
o2bob2o2bo3b2o$5bo45b2o12b2obob2o$5b5o14b2o25b2o$10bo13bo$7b3o12bobo
84b2o$6bo15b2o85b2o$6b4o$4b2o3bo3b2o$3bo2b3o4b2o$3b2obo82b2o$6bo81bobo
$6b2o80bo$57b2o28b2o8bo$57bo38b2o$14b2o22b2o19bo35b3o$15bo23bo18b2o35b
o8b2obo$12b3o24bobo8b2o4bo3b2o31bo10b2ob3o$12bo27b2o7bo2bo3b4o2bo30bo
3b2o11bo$50b2o7bob2o10b2o2bo19b2o5b2ob3o$56b2obobo10bob4o16bo8bo2b2o$
56b2obobo10bo22bo2bo3bobo$59bob2o7b2ob7o15b3o3bobob2obo$59bo8bo2bobo6b
o3b2o16bo2bob2o$57bobo8b2o3bob2o2b2o4bo19bo$57b2o13b2ob2o8bobo16b2o$
86b2o13bobo2b2o$48b2o51b2o2bo2bo$48bo57b2o$49b3o21bo$51bo20bobo9b2o$
72bobo9bo$73bo8bobo$19b2o61b2o$20bo$18bo19b2o$18b2o18bo$16b2o3bo4b2o8b
obo$15bo2b4o3bo2bo7b2o49b2o15b2o$15b2obo7b2o59b2o15bobo$16bobob2o50b2o
32bo$16bobob2o51bo32b2o$15b2obo51b3o$18bo51bo$18bobo$19b2o$46bo$28b2o
16b3o51bo$29bo19bo48b3o$26b3o19b2o47bo$26bo70b2o6$58b2o$49bo8bobo$48bo
bo9bo$48bobo9b2o36b2o$49bo49bo$99bob2o$98b2obo$101bo$48b2ob2o45b2obob
2o$44b2o3bob2o2b2o10b2o30bobo2bo$44bo2bobo6bo10bobo29bo2bo$46b2ob7o13b
o30b2o$48bo20b2o19bo4bo2bobo$48bob4o13b2o19b3o4b4o3bo$49b2o2bo12bo2b4o
14bo11b4o$67b2o3bo15bo8b2o$69b2o16b2o8bo2bo$69bo29b2o$71bo$70b2o!
Not much in this post except to say "nice work" and point out that SE5T23 is also suitable providing we have an output glider from elsewhere.

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 8:39 pm
by googleplex
Here, try lowering the period of this:

Code: Select all

x = 128, y = 168, rule = LifeHistory
65.2A$65.A.A$67.A4.2A$63.4A.2A2.A2.A$63.A2.A.A.A.A.2A$65.BABABA.A$66.
B2ABA.A$67.2B.BA$66.3B$57.2A6.4B$58.A6.B2A3B$58.A.AB3.B2A3B$59.2AB.
10B$61.13B$61.5B3D6B$61.7BD2.5B$63.4BD5.4B$63.4B7.4B$62.4B9.4B$61.4B
4.2A5.4B$60.4B5.A7.4B$59.4B7.3A5.4B19.5B$58.4B10.A6.4B17.9B$57.4B19.
4B16.9B$56.4B21.4B15.9B$55.4B23.4B13.10B$54.4B25.4B11.12B$53.4B27.4B.
3B6.13B$52.4B29.8B6.11B$51.4B30.8B4.12B$50.4B21.2A7.25B$49.4B21.B2AB
6.8B2D15B$48.4B23.2B8.7B2D15B$35.2A10.4B19.B3.2B11.23B.B$36.A9.4B19.
2AB.4B10.24B2A$34.A10.4B20.2A8B9.21B.B2A$34.5A5.4B5.2A15.B.B2A6B2.2B
2.20B4.B$39.A4.4B5.A19.2A15BD16B$36.3AB2.5B4.A.A19.17BDBD14B$35.A.2B
3.5B4.2A16.21B3D13B$35.4A7B2D21.23BD13B2.A$33.2A2.BA3B2A2BDBD19.2A27B
.8B2.3A$32.A2.3AB.2B2A2BD3B18.2A14B.4B10.7B5.A$32.2A.A.B3.10B18.B.11B
2.4B12.6B4.A.A$35.A8.8B19.10B2.4B13.7B3.A.AB$35.2A7.9B19.14B15.5B5.A
3B$45.3B2.4B17.14B16.6B6.4B$43.5B3.4B17.13B14.9B5.6B$43.2A7.4B10.2A4.
13B8.A5.2A.7B4.7B$44.A8.4B9.A7.2B.4B3DB3.2A2.A.A5.A5.4B2.8B.4B.B$41.
3A10.4B10.A8.5BD2B3.A.A2.A.A.3A7.4B.12B.B2A$41.A6.2A5.4B5.5A8.3B3D2B
6.2A2.A.A10.18B2A$49.A6.3B4.A13.B.6B7.A.A.A12.15B.2B$49.A.A4.5B2.B3A
10.B.7B3.A2.A.2A14.3BC10B$50.2A4.5B3.2B.A5.2A4.8B.A.A.A15.6BC8B$55.2D
7B4A4.A.A5.5B4.A2.4A10.2AB.2B3C7B$54.DBD2B2A3BAB2.2A2.A7.6B4.2A3.A9.A
.AB2.11B$53.3BD2B2A2B.B3A2.A.A6.6B6.B.A11.A5.10B3.2A$52.10B3.B.A.2A.
2A5.7B3.B2AB2A9.2A5.2B2A6B3.A$51.8B8.A12.8B.B2A18.3B2A6B4.A$50.9B7.2A
12.10B3.2A16.10B3.2A$49.4B2.3B21.3B2A6B4.A16.8B.B2A$48.4B3.5B13.2A5.
2B2A6B3.A16.7B3.B2AB2A$47.4B7.2A14.A5.10B3.2A15.6B6.B.A$46.4B8.A15.A.
AB2.11B20.6B4.2A3.A$45.4B10.3A13.2AB.2B3D7B20.8B.A2.4A$44.4B13.A15.6B
D8B18.8B.A.A.A$43.4B30.5BD10B17.7B3.A2.A.2A$42.4B31.16B.2B5.2A7.6B7.A
.A$41.4B32.18B2A5.A6.2B3D2B6.2A2.A$40.4B32.17B.B2A5.A.AB3.4BD2B3.A.A
2.A.A$39.4B32.4B2.8B.4B.B7.2AB2.4B3DB3.2A2.A.A$38.4B32.4B4.7B16.11B8.
A$37.4B32.4B5.6B17.11B$36.4B32.4B6.4B19.11B$35.4B32.4B5.A3B20.11B$34.
4B32.4B5.A.AB22.7B.2B$33.4B32.4B6.A.A23.11B$32.4B32.4B8.A25.10B$31.4B
32.4B6.3A26.12B$30.4B32.4B7.A29.13B$29.4B32.4B35.17B$28.4B32.4B35.18B
$27.4B32.4B35.2B2A13B.B2A$26.4B32.4B37.B2A6B.4B3.BA.A$25.4B32.4B31.2A
4.8B4.B8.A$24.4B32.4B33.A4.6B15.2A$23.4B32.4B34.A.AB.7B$22.4B32.4B36.
2AB2.6B$21.4B32.4B39.8B$20.4B32.4B40.8B$19.4B32.4B42.8B$18.4B32.4B13.
2A2.A26.7B8.A$17.4B32.4B13.A.4A27.6B6.3A$16.4B32.4B14.A32.2B3D2B4.A$
3.2A10.4B32.4B13.2A.7A25.2BD4B4.2A$4.A9.4B32.4B12.A2.A.A3.B2.A11.B12.
B3D4B.4B$2.A10.4B15.2A8.A6.4B13.2A2.BA.2A2.2A9.2A3B10.11B$2.5A5.4B5.
2A8.B2AB5.3A5.4B18.2AB2AB12.2A4B9.12B$7.A4.4B5.A10.3B4.A7.4B19.5B13.
11B4.12B$4.3AB2.5B4.A.A2.2A5.B.B5.2A5.4B21.3B14.12B4.11B$3.A.2B3.5B4.
2A4.A5.10B4.4B21.5B14.13B5.7B5.A$3.4A7B2D9.A.AB2.8B5.4B22.BA4B14.14B
2.8B4.A.A$.2A2.BA3B2A2BDBD9.2AB.11B2.4B21.2BABA3B6.2A5.25B5.A$A2.3AB.
2B2A2BD3B10.9B2D7B22.2BABA4B5.A6.30B$2A.A.B3.10B9.5B2A2BDBD5B24.2BA4B
3.BA.A7.30B$3.A8.8B9.4B2A2BD6B24.D9B.B2A4.2A3.30B$3.2A7.9B8.14B24.BDB
D9B5.A.AB.31B$13.3B2.4B7.14B23.2B2D2B3D5B5.2A2B.30B$11.5B3.4B5.A.14B
21.7BD7B6.34B2.2A$11.2A7.4B3.A.A5.5B.4B19.4B2.3BD4B9.26B6.BA2.A$12.A
8.4B3.A7.4B2.4B6.A10.4B5.6B10.23B.3B4.B3A$9.3A10.4B10.2B5.4B5.3A7.4B
4.9B11.20B3.2A2.A$9.A13.4B8.4B5.4B7.A5.4B5.2A4.4B11.18B4.A3.4A$24.4B
7.B2AB6.4B5.2A4.4B7.A5.4B10.7B2.9B5.3A3.A$25.4B7.2A8.4B4.9B5.3A7.4B9.
6B3.8B9.A$26.4B17.4B5.6B6.A10.4B7.7B5.6B8.2A$27.4B17.2B2D2.3BD4B18.4B
6.7B$28.4B17.BDBD3BD7B17.4B6.7B$29.4B17.D5B3D5B18.2B2D6.B2A3B$30.4B
17.13B19.BDBD5.B2A2B$31.4B17.10B.B2A18.D3B3.6B$32.4B17.4B2AB3.BA.A18.
4B2.6B$33.4B15.5B2A2B5.A19.4B.7B$34.4B14.8B6.2A19.4B.6B$35.4B15.6B28.
9B$36.4B14.5B30.8B$37.4B14.3B32.8B$38.4B12.5B32.7B8.A$39.4B11.2AB2AB
32.6B6.3A$40.4B6.2A2.BA.2A2.2A29.2B3D2B4.A$41.4B5.A2.A.A3.B2.A25.B3.
2BD4B4.2A$42.4B6.2A.7A25.3B2.B3D4B.4B$43.4B7.A32.4B.11B$44.4B6.A.4A
27.4B.12B$45.4B6.2A2.A24.20B$46.4B33.21B$47.4B32.22B9.B$48.4B31.22B.
2B5.4B$49.4B29.27B2.7B$50.4B27.35B2A2B$51.4B25.35BA2BAB$52.4B23.37B2A
B$53.4B21.4B.31B.4B$54.4B19.4B3.30B2.2B$55.4B6.A10.4B5.B2.3B.21B$56.
4B5.3A7.4B9.4B3.11B4.B$57.4B7.A5.4B10.B2AB4.8B5.3B$58.4B5.2A4.4B12.2A
6.6B6.B2AB$59.4B9.4B23.2B9.2A$60.4B7.4B23.2B$61.4B5.D4B22.B2AB$62.5B
2.D7B21.2A$63.6B3D5B$64.13B$65.10B.B2A$67.3B2AB3.BA.A$67.3B2AB6.A$69.
4B6.2A$69.3B$66.AB.2B$65.A.AB2AB$65.A.ABABAB$62.2A.A.A.A.A2.A$62.A2.A
2.2A.4A$64.2A4.A$70.A.A$71.2A!

Re: Small Four-Digit Prime Period Guns

Posted: March 27th, 2019, 9:23 pm
by dvgrn
googleplex wrote:Here, try lowering the period of this...

Code: Select all

x = 128, y = 168, rule = LifeHistory...
Hmm, that one has gotten quite a lot bigger somehow. I think we can go smaller.

Jormungant's gun only uses tremi-Snarks. If you bump most of those up to quadri-Snarks you can get a period well up into seven digits -- 2,514,138 = 2 * 3 * 11^2 * 3463, for example:

Code: Select all

x = 106, y = 121, rule = B3/S23
62bo$24bo2b2o33b3o$24b4obo35bo$29bo34b2o$22b7ob2o15b2o$21bo6bobo2bo13b
obo16b3o$21b2o2b2obo3b2o15bo4b2o10bo$16b2o7b2ob2o15b4ob2o2bo2bo9bo$16b
o28bo2bobobobob2o$18bo29bobobobo$14b5o30b2obobo$14bo13bo24bo$17b4o6bob
o$17bo2bo6bobo9b2o$28bo11bo7b2o$12b2o26bobo5b2o$12bo2bob2o22b2o$14b2ob
2o3bo$21bobo$22bo3$28b2o$28bo22b2o$29b3o19bo$31bo20b3o$4b2o48bo$5bo$3b
o19b2o$3b2o18bo$b2o3bo4b2o8bobo33bo$o2b4o3bo2bo7b2o32b3o12b2o$2obo7b2o
41bo15b2o$bobob2o47b2o$bobob2o32b2o48b2o$2obo36bo48b2o$3bo13bo22bob2o$
3bobo10bobo22bo2bo$4b2o11bo24b2o$11b2o44b2o$11bo45b2o27bo$8b2obo3b2o
69b3o$6bo2bob2o2b2o72bo$6b2obo78bobo$9bo5b2o49bo3b2o16bobo$9b2o5bo48bo
bo3bo17bo$14bo49bobo3bo21bo$14b2o44b2obobo3bo22bo$60b2obo2b4obo5b2o12b
obo$5b2o57bobo3bobo5bo18bo$6bo53b2ob2o2bo2bobo2b3o19bo6b2o$4bo56bobo2b
2o3bo3bo15bob2ob4o4b2o$4b5o14b2o24b2o10bobo28bobo4b2o$9bo13bo25b2o11bo
29bo2bo5bo$6b3o12bobo70b3o2b2o$5bo15b2o61b2o8bo2bo$5b4o74bobo9bobo$3b
2o3bo3b2o39b2o28bo11bobo$2bo2b3o4b2o39bo28b2o$2b2obo28b2o19bo$5bo29bo
18b2o$5b2o28bobo8b2o4bo3b2o41b2obo$36b2o7bo2bo3b4o2bo40b2ob3o$46b2o7bo
b2o46bo$13b2o37b2obobo10b2o2bo26b2ob3o$14bo37b2obobo9bob4o25bo2b2o$11b
3o41bob2o8bo29bobo$11bo29bo13bo9b2ob7o21bobob2obo$40bobo10bobo7bo2bobo
6bo3b2o16bo2bob2o$41bo11b2o8b2o3bob2o2b2o4bo19bo$46b2o19b2ob2o8bobo16b
2o$47bo33b2o13bobo2b2o$42b2o3bob2o45b2o2bo2bo$42b2o2b2obo2bo48b2o$49bo
b2o15bo$42b2o5bo17bobo9b2o$42bo5b2o17bobo9bo$44bo23bo8bobo$43b2o32b2o
2$71bo$11b2o57b2o$12bo57bobo$10bo19b2o50b2o15b2o$10b2o18bo51b2o15bobo$
8b2o3bo4b2o8bobo36b2o32bo$7bo2b4o3bo2bo7b2o38bo32b2o$7b2obo7b2o45b3o$
8bobob2o51bo$8bobob2o$7b2obo$10bo13bo$10bobo10bobo69bo$11b2o11bo68b3o$
18b2o18bo53bo$18bo19b3o51b2o$15b2obo3b2o17bo$13bo2bob2o2b2o16b2o$13b2o
bo$16bo5b2o$16b2o5bo23bo$21bo24bobo$21b2o24bo3b2ob2o$51b2obo2bo$56b2o
35b2o$41bo40bo11bo$40bobo6bo2bo29b2o10bob2o$40bobo6b4o29bo10b2obo$41bo
13bo26b2o12bo$51b5o18bob2o15b2obob2o$51bo10b2o10bo2bo16bobo2bo$53bo8bo
bo9b3o17bo2bo$40b2ob2o7b2o10bo30b2o$36b2o3bob2o2b2o15b2o19bo4bo2bobo$
36bo2bobo6bo13b2o19b3o4b4o3bo$38b2ob7o13bo2b4o14bo11b4o$40bo21b2o3bo
15bo8b2o$40bob4o18b2o16b2o8bo2bo$41b2o2bo18bo29b2o$66bo$65b2o!
EDIT: Run this one in Golly at step size 8^4.

Seems like a fair fraction of the five-digit periods must be possible with something not much bigger than this, and quite a few six-digit periods as well.
chris_c wrote:I swapped the SE7T14 with an SE5T23 and added a little catalysis to destroy the circulating glider cleanly.
The NW31 seems too good to touch, really. I was thinking more of changing the H-to-2G at the bottom. If you want four-digit-period guns you can even just swap the uses of the two outputs. Here's a p10477, for example, using two quadri-Snarks. (And oddly enough, no pun intended, 10477 is actually prime.)

Code: Select all

x = 117, y = 120, rule = LifeHistory
36.A2.2A15.2A16.3A$36.4A.A14.A.A15.A3B$41.A16.A4.2A10.A3B$34.7A.2A10.
4A.2A2.A2.A9.4B$33.A2.B3.A.A2.A8.A2.A.A.A.A.2A10.4B$33.2A2.2A.AB2.2A
10.BABABA.A14.4B$28.2A6.B2AB2A15.B2ABA.A15.4B$28.A8.5B16.2B.BA17.4B$
30.A7.3B16.3B21.4B$26.5A6.5B6.2A6.4B22.4B$26.A9.4BAB7.A6.B2A3B21.4B$
28.B4A3.3BABA2B5.A.AB3.B2A3B22.4B$28.BA2.A2.4BABA2B6.2AB.10B21.4B$28.
4B4.4BA2B9.13B21.4B$24.2A3.15B8.14B21.4B$24.A2.A.2A14B7.15B21.4B$26.
2A.2A3BA11B8.8B2.4B21.4B$30.B.BABA11B7.6B5.4B21.4B$33.BA7B2.4B5.9B4.
4B20.4B$33.7B5.4B3.4B4.2A5.4B19.5B$33.9B4.4B.4B5.A7.4B17.9B$32.4B4.2A
5.7B7.3A5.4B16.9B$31.4B5.A7.5B10.A6.4B15.9B$30.4B7.3A4.5B18.4B13.10B$
29.4B10.A3.7B18.4B11.12B$28.4B14.4B.4B18.4B.3B6.13B$27.4B14.4B3.4B18.
8B6.11B$26.4B14.4B5.4B17.8B4.12B$25.4B14.4B7.4B10.A4.25B$24.4B14.4B9.
4B7.3A4.8B2C15B$23.4B14.4B11.4B5.A8.7B2C15B$22.4B14.4B13.4B4.2A9.23B.
B$21.4B5.A8.4B7.2A6.9B9.24B2A$20.4B4.5A4.5B5.2A2.A7.6B12.21B.B2A$19.
4B4.A5.A3.5B5.A3.A.2A5.6B3.B2.2B2.20B4.B$18.4B5.A2.3AB2.7B.BA.A4.A2.A
4.19BD16B$17.4B5.2A.A.2B3.7B.B2A6.2AB3.20BDBD14B$4.2A10.4B6.A2.4A12B
8.15B2A9B3D13B$5.A9.4B8.2A2.BA3B2A7B10.13B2A11BD13B2.A$3.A7.2B.4B5.2A
4.3AB.2B2A7B11.30B.8B2.3A$3.2A6.7B5.A5.A.B3.10B11.17B.B.2B10.7B5.A$.
2A2.BAB.2B2A6B.BA.A2.2A.A8.8B11.15B4.3B10.6B4.A.A$A2.4A3BA2BA5B.B2A3.
2A.2A7.9B10.15B5.A2B.2A6.7B3.A.AB$2A.A2.5B2A8B18.3B2.4B10.13B5.A.A2B.
A7.5B5.A3B$.A.A.2A14B16.5B3.4B11.13B2.A.AB2.A8.6B6.4B$.A.A.2AB.12B16.
2A7.4B9.8B4.2A.A.A3.A7.9B5.6B$2A.AB.B3.11B17.A8.4B8.6B6.2ABA2.4A.A5.
2A.7B4.7B$3.A8.B.3BA4B13.3A10.4B7.5B8.B2.A.A3.A.A5.A5.4B2.8B.A3B.B$3.
A.A8.2BABA5B11.A13.4B6.B.B9.2A.2A2.A2.A.A2.3A7.13BA3B.B2A$4.2A8.3BA7B
25.4B6.3B9.A.A2.2A3.A3.A10.15BA3BA$11.2A.4B3.4B26.4B4.B2AB9.A.A22.16B
.2B$11.A.4B5.4B26.4B4.2A11.A23.6B2ABA3BABA$8.2A.A.2B2AB5.4B26.4B40.7B
2A6B$6.A2.A.2A2B2A7.4B26.4B37.2AB.10BAB$6.2A.A.3B11.4B26.4B35.A.AB2.
8BABA$9.A5.2A9.4B26.4B34.A5.6BAB2A$9.2A5.A10.4B26.4B32.2A5.6B3AB$14.A
13.4B26.4B37.8BA2B$14.2A13.4B26.4B37.10B$30.4B26.4B36.8B.B2A.A$31.4B
26.4B34.7B3.B2AB3A$32.4B26.4B33.6B6.B4.A$33.4B26.4B33.6B4.2A.3A$34.4B
26.2B2A32.5B4.A2.2A$35.4B26.2A2B30.8B.A.A$36.4B26.BA2B29.8BA.A.2A.A$
37.4B26.4B19.2A7.6B.2BAB.A.2A$38.4B26.4B19.A6.2B3D2B2.2B2.A$39.4B26.
4B18.A.AB3.4BD2B3.B.2A$40.4B26.4B18.2AB2.4B3DB2.A.A2.2A$41.4B26.4B19.
11B2.2A2.A2.A$42.4B26.4B18.11B7.2A$43.4B26.4B17.11B$44.4B26.4B15.11B$
45.4B26.4B15.7B.2B$46.4B26.4B14.11B$47.4B26.4B14.10B$48.4B26.4B13.12B
$49.4B26.4B13.13B$50.4B26.4B9.17B$51.4B26.4B7.18B$52.4B26.4B5.2B2A13B
.B2A$53.4B26.4B5.B2A6B.4B3.BA.A$54.4B26.4B3.8B4.B8.A$55.4B26.4B2.6B
15.2A$56.4B26.4B.7B$57.4B26.4B.6B$58.4B26.9B$59.4B26.8B$60.4B26.8B$
61.4B26.7B8.A$62.4B26.6B6.3A$63.4B25.2B3D2B4.A$64.4B24.2BD4B4.2A$65.
4B23.B3D4B.4B$66.4B22.11B$67.4B21.12B$68.4B20.12B$69.4B20.11B$70.4B
22.7B$71.4B12.B7.8B$72.2B2A9.7B.9B$73.BABA7.18B2.2A$74.A3B5.19B.B.A$
75.4B4.21B.A.2A$76.4B3.21B2A.A$77.4B2.21B.B.A$78.8B3A6B.8B2A.A.2A$73.
2A4.7BABA5B3.8BABA2.A$73.A.A2.7BA2BA2B7.7BA2.A$75.A2.7BAB2A2B11.B.2B
2A$75.2A8BAB2A3B4.A4.A2.A.A$73.2A2.10B2A2B3.3A4.4A3.A$72.A2.4AB3.2BAB
A4B.A11.4A$73.2A2.BAB4.2BA6B.A8.2A$75.2A7.8B.2A8.A2.A$75.A8.7B14.2A$
77.A6.6B$76.2A6.5B$85.3B!
Instead of [4x, 4x] you can use tremi-Snarks, CP semi-Snarks or regular Snarks: [4x, 3x], [3x, 3x], [4x, 2x], [3x, 2x], [2x, 2x], [3x, 1x], or [2x, 1x] -- I think each one of those will make a different infinite series of odd-period guns.

Then any of a hundred other H-to-Gs could be appended instead of the one used here. If the output goes SW instead of NW, that will allow a CP or CC semi-cenark to be added to get the parity right -- and that creates even more options for multipliers.
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