Print the SARS-Cov-2 (COVID-19) genome
bash + flif-tools, 40+1+7359 = 7400 bytes
First, I noticed that the probabilities of various letters weren't evenly distributed, and I thought I should use some kind of arithmetic coding. Then I realised that this awesome image format, about which I remember that it uses some super-complicated kind of arithmetic coding, can be used to compress the SARS-CoV-2 genome.
flif -d f .pgm
cat .pgm|tr -cd ACUG
Requires a file named f in the current directory, with the following contents (it's a 29903x1 image):
00000000: 464c 4946 3131 81e9 4e00 0041 7ef2 f1e6 FLIF11..N..A~...
00000010: 7012 b5f1 79f4 99da 8f57 1fd4 eb3e dca1 p...y....W...>..
00000020: 4b84 7263 bc59 a96d 1e17 5f91 3326 aee5 K.rc.Y.m.._.3&..
00000030: 2bd0 faa0 43f5 5613 362f bac7 a79c b96b +...C.V.6/.....k
00000040: 54f1 76f1 d0b3 ecc6 cbbf e7dc 3147 2233 T.v.........1G"3
00000050: 6fd6 4ba1 ed75 5031 748c 71e8 7b8e 0852 o.K..uP1t.q.{..R
00000060: 1218 e539 5991 ce94 c750 ed10 1f9c cff3 ...9Y....P......
00000070: bc6e 66af 70fe 256c 368c fd5d d17f d8ed .nf.p.%l6..]....
00000080: 893c 1c1d d02e 863b 9a74 a1d2 3a14 96bb .<.....;.t..:...
00000090: aefe d54f 2d65 6660 cc0d ab9b cc1f 5edb ...O-ef`......^.
000000a0: 7cd6 de58 9a2f e729 95b3 ba7a 7022 b237 |..X./.)...zp".7
000000b0: c828 3407 2404 1ce5 c21e 9b31 aae0 670c .(4.$......1..g.
000000c0: 4c3c 7266 c70e 014a a7e8 495f ea33 f8be L<rf...J..I_.3..
000000d0: 7a94 0a64 331e e59a a0bc d1e9 3151 8465 z..d3.......1Q.e
000000e0: be91 5f5a 6725 d496 3366 cc44 2e8a 46df .._Zg%..3f.D..F.
000000f0: 791e 6048 944a 4700 cb48 e986 b0b0 657b y.`H.JG..H....e{
00000100: a77d efac 6bb2 d669 1403 90a2 d4c2 df32 .}..k..i.......2
00000110: 6a62 ae22 ea05 a751 8696 9343 aef8 5256 jb."...Q...C..RV
00000120: 8b5b e09d 7c80 e05b f748 968b fb6b 1a36 .[..|..[.H...k.6
00000130: 7e9b 9784 4dc9 bfab 8871 374a d9bd a9c7 ~...M....q7J....
00000140: 5245 39cb c5f6 3ada 8d86 e72d affb 473f RE9...:....-..G?
00000150: 0065 19ee 5517 4481 81aa 9c72 70b5 17b3 .e..U.D....rp...
00000160: 1341 b678 22e2 c84b 2df5 faa3 0584 22b8 .A.x"..K-.....".
00000170: 3cc4 5337 7b9f 443e e455 e66b 68f5 9caf <.S7{.D>.U.kh...
00000180: db3f d0cc dba9 18ce bb67 b14e bd41 306e .?.......g.N.A0n
00000190: 9829 3506 9b25 544a 4aab 0ecc d64a 3136 .)5..%TJJ....J16
000001a0: 50c6 962b 635a 7502 fd81 45ab bb1f d1b4 P..+cZu...E.....
000001b0: 2eef 658a 7b35 2af7 3166 bb89 8adb 6f52 ..e.{5*.1f....oR
000001c0: 58dc 2b8c ae57 3886 eeff 0975 e141 d98f X.+..W8....u.A..
000001d0: eb65 84c9 a19d 4bf3 b111 8c02 ba9b b366 .e....K........f
000001e0: 481a b148 529c 1bde 71c5 c393 7062 9918 H..HR...q...pb..
000001f0: 5bab 356e 8b85 f9d8 66b5 75f7 99b1 f938 [.5n....f.u....8
00000200: 52b4 87d0 ada1 af71 80b1 bfad c797 e508 R......q........
00000210: 1683 40cc ae1c 81d3 17e4 4a50 31ba 8077 [email protected]
00000220: cc79 ad9b 77c5 6d8a 6275 3a02 5fe0 4c6d .y..w.m.bu:._.Lm
00000230: 878e 144a 40e5 c3d8 24f3 fe4e 9c9f 9820 ...J@...$..N...
00000240: be90 81c9 c4c8 dd16 e678 887c 3ba0 8633 .........x.|;..3
00000250: 4572 4533 6254 1ead bd0a c17a ca9a 4220 ErE3bT.....z..B
00000260: eb9c 614f da8c 21e3 1ea4 f269 fa2f c146 ..aO..!....i./.F
00000270: ef5f fee2 9aad badf 35a7 9454 f7f6 e004 ._......5..T....
00000280: 5fec b825 c2ad 49f7 eb07 be5d 0aef f53b _..%..I....]...;
00000290: 63f5 6681 844d a955 8fe7 9ad7 ba8d 490f c.f..M.U......I.
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000003b0: 89df d7d2 c1a9 f7e6 21ad 75a4 1200 1d8f ........!.u.....
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00000490: 3934 59a5 fe9d 6093 a523 d20d fbb0 b500 94Y...`..#......
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000004c0: c085 c0ec aea3 be86 db4a 8f1c bd58 2be2 .........J...X+.
000004d0: 4586 f743 eaef 8a80 cf07 27e7 0159 c070 E..C......'..Y.p
000004e0: cf94 4d56 45e1 a0c0 7837 e081 16ea 6566 ..MVE...x7....ef
000004f0: 4f89 7bf8 7160 a851 e2cf 8396 05a9 fc37 O.{.q`.Q.......7
00000500: 6ed8 69ee f651 aa56 0660 18ec 0fd0 e948 n.i..Q.V.`.....H
00000510: ee27 6c35 620f e472 0c04 7902 35d5 58cd .'l5b..r..y.5.X.
00000520: d117 d1ab 16f2 f89e 6210 fdfa 300a ffa5 ........b...0...
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00000540: 6f00 9737 a429 0c99 22ce 5f0f 1b20 56c7 o..7.).."._.. V.
00000550: f1a2 d5b8 d782 98fd 521e 68a1 fd73 4f56 ........R.h..sOV
00000560: 50de ec30 4d39 8e5f f4f8 f153 d448 13cd P..0M9._...S.H..
00000570: 29d5 2aa7 d4fa e6b1 16d3 ef68 9a13 8c22 ).*........h..."
00000580: afcf dcc7 9e86 cb81 a943 6cab f850 ed0a .........Cl..P..
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000005a0: 1f70 ee1a ec0b d963 3e95 5439 1c77 588b .p.....c>.T9.wX.
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00000690: 8a8a 9d33 61cc 4d40 8812 4e7f 956a 2973 [email protected])s
000006a0: 42d5 87c7 ac20 5c3f f1e2 a76c ca21 15a0 B.... \?...l.!..
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00001b70: 77b9 59cb 3242 74ac 06e7 d284 a605 f812 w.Y.2Bt.........
00001b80: 701c 3b8c c955 2c60 7b45 1622 7ff2 976d p.;..U,`{E."...m
00001b90: de41 bc17 d9ac 6423 b8c9 390c 5ac2 7855 .A....d#..9.Z.xU
00001ba0: f3fd 712a feb0 9fb2 e1ec c97c e094 f48e ..q*.......|....
00001bb0: e5fc 6cf9 c5e3 c693 3f7c c5ad 746f f725 ..l.....?|..to.%
00001bc0: d7cd 91a8 0275 f351 0d6f 2df2 569b d5d1 .....u.Q.o-.V...
00001bd0: 7d1a a306 07e1 1677 a07e 3825 9ad3 f394 }......w.~8%....
00001be0: 879a 62ae 5604 fa92 dee7 7935 335b f7ff ..b.V.....y53[..
00001bf0: b1b1 2523 9eba 7bdd 71dc 3644 400c a87b ..%#..{.q.6D@..{
00001c00: 3be5 0612 bc82 e857 38ed d5f1 bb8a 31b7 ;......W8.....1.
00001c10: 111e 2085 4a1e fbf9 4eb1 3933 3345 4349 .. .J...N.933ECI
00001c20: 81c3 b793 ca52 1b25 b21f 21dd af59 04bc .....R.%..!..Y..
00001c30: 53b7 e489 a4fa 071a 25e7 ef90 df8e 0306 S.......%.......
00001c40: 16a9 d5dc d548 313c a659 48bf c71f 47eb .....H1<.YH...G.
00001c50: 47c0 8ecf 1ded 39db 6c45 a9a1 9c95 d436 G.....9.lE.....6
00001c60: c13a 34b4 4d31 7531 2bcc 17e2 5b0d 5257 .:4.M1u1+...[.RW
00001c70: bc85 dd3e 3a1e 4c48 38ca ce79 06bb a778 ...>:.LH8..y...x
00001c80: fc21 c861 d6e6 3f20 fe17 fbe5 0eb0 3c8d .!.a..? ......<.
00001c90: cf83 44db 9468 354a 0e94 c734 89ab 9ef1 ..D..h5J...4....
00001ca0: 2f1a 2c00 1684 2dbe 3989 ad48 7e49 1abe /.,...-.9..H~I..
00001cb0: 135c ab2a ddfd 77ec 5d75 cc54 fe00 31 .\.*..w.]u.T..1
Ruby -rzlib, 85 82 80 77 + 1 + 7309 7308 = 7395 7392 7386 bytes
Zlib.inflate(IO.read'f').bytes{|i|$><<('%8b'%i).gsub(/../){$&.oct}};$><<?1*31
Try it online! (Credit to @ovs, whose header code I borrowed from another answer to make this work on TIO.)
Uses 1, 0, 8, and 9 to represent A, C, G, and U, respectively. Requires a binary file named f in the working directory, with contents (hexdump):
00000000: 789c 15d7 fb43 d287 c230 f0ed 4deb 3ccf x....C...0..M.<.
00000010: c9d4 0992 f7d3 2ecf b9ec accd e52d 15c8 .............-..
00000020: 09b2 9688 c42d 5221 a7e8 cc84 3c8a 8a08 .....-R!....<...
00000030: 1c4f 9acf 4e29 3913 d72c 5c33 ebec 3475 .O..N)9..,\3..4u
00000040: 1def 22b0 96e8 2e29 32c4 4b2a e890 d0b8 .."....)2.K*....
00000050: c500 01b9 7cdf f7fd 0b3e 3f7f 38e7 7d0b ....|....>?.8.}.
00000060: 2f23 17f1 2090 f7b6 7cb4 6a6a ee2c ce91 /#.. ...|.jj.,..
00000070: 6fde 3166 f7b6 f0e9 61af 4531 1d8b cbca o.1f....a.E1....
00000080: ffb8 2311 ddb8 bfae dbae b641 dffe ed7b ..#........A...{
00000090: cbd5 ff9a 3d8a 4a92 fef5 2fe6 0f88 23c2 ....=.J.../...#.
000000a0: 5b57 8c47 a4a0 5b78 c4b7 b828 579a 2ff2 [W.G..[x...(W./.
000000b0: b737 c77f 3ed3 bb5f fcfd eefd a1f5 92a6 .7..>.._........
000000c0: 4728 2879 0733 091d cdd3 11af f90f e374 G((y.3.........t
000000d0: 4783 cc56 d999 9fea 7ecc 0999 fd86 ad96 G..V....~.......
000000e0: 14f5 5fc5 bd75 d73a fccd a8e1 5698 e15b .._..u.:....V..[
000000f0: cf81 d817 6f55 47f5 2e34 0fa6 ffb6 7476 ....oUG..4....tv
00000100: 4475 3f75 2746 fca7 7f54 1167 ddd0 af4e Du?u'F...T.g...N
00000110: f3ef 9e7c a226 03e1 8454 6c22 aa70 d272 ...|.&...Tl".p.r
00000120: 6a22 bb6e 827f f68b bb8a f793 ffc3 04d9 j".n............
00000130: 260f 085b 0fc0 e871 c4cc b9a6 7103 31bd &..[...q....q.1.
00000140: 0e63 7c0b b40b e722 962e 8aaa b5ff d0c5 .c|...."........
00000150: 16ea b8b0 e18f ceda 3a4b 92bb b6da 83dd ........:K......
00000160: 54d2 0e91 e40e b1d6 f719 c1c0 d84b 28f5 T............K(.
00000170: 503e 3959 16f8 5047 26f0 857c 757f d78f P>9Y..PG&..|u...
00000180: f373 8f25 7fcd a050 4060 73b0 ec44 6cde .s.%...P@`s..Dl.
00000190: c4ac 7902 377b f7b3 af78 1662 80ab cbbf ..y.7{...x.b....
000001a0: 9343 f3a3 c9e5 8d09 9e41 cc29 709d 454c .C.......A.)p.EL
000001b0: 721a 8fb2 431b 68a3 379e c70c 6d76 652c r...C.h.7...mve,
000001c0: 77a5 c208 87e4 ef5c 341c 4bde f47f 9126 w......\4.K....&
000001d0: 7aea 9448 0e61 e99b 9a87 8f8f 27bd 817d z..H.a......'..}
000001e0: e6c9 ad2e 97ec d306 ffab 1cca 02a5 bb0b ................
000001f0: de23 9410 65d1 051e 4387 0343 21df 6e74 .#..e...C..C!.nt
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00000210: 6448 aefb b279 0420 da09 7de7 54c4 f1d4 dH...y. ..}.T...
00000220: 827d 5d44 7ec1 c96f e5ea b8ad 994f b4c7 .}]D~..o.....O..
00000230: 3da7 65c0 7bc7 4ee8 72e2 49f3 bf5a ecb4 =.e.{.N.r.I..Z..
00000240: 2f5b 170b 92ea a9d3 15d6 931d 71c2 64a1 /[..........q.d.
00000250: 355a bf9f b098 bf66 aa0f 8acb 9ab4 4c31 5Z.....f......L1
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00000280: 677c e6b8 a7d3 f3f6 3d92 3173 9cd8 e9b8 g|......=.1s....
00000290: 4fb7 b6db 1cfc 1126 6f1f 2e6a cb5e e7ec O......&o..j.^..
000002a0: efb6 e254 5774 be01 3cef d1b1 f8f3 3dc3 ...TWt..<.....=.
000002b0: 34ba 8574 90d6 991a 14bf 3947 7c85 d0e9 4..t......9G|...
000002c0: 4cdf bb48 43bc 0c15 58b0 5fe4 19dd 7843 L..HC...X._...xC
000002d0: 8f22 630f 9b89 9e28 929c 7bbc bfaf 38e8 ."c....(..{...8.
000002e0: d79c ed55 bb7e cc27 2268 7939 9bb0 9065 ...U.~.'"hy9...e
000002f0: 9601 8bad 4e47 c83e 1908 c19e b703 03ac ....NG.>........
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00000310: 3c0c 8536 3e1f a490 e0de ceca 2375 ff90 <..6>.......#u..
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00000340: a76b c72c f084 c311 cf85 64da 0057 2720 .k.,......d..W'
00000350: 4b3f 8fc6 4158 63fd 274b 7b32 caf1 f03e K?..AXc.'K{2...>
00000360: ff78 d87c 8a1c 7492 f639 99d6 3358 2aac .x.|..t..9..3X*.
00000370: 9181 d30c 20f2 9fe8 6590 0890 b201 4f95 .... ...e.....O.
00000380: 94cb 0e53 4bea 718a 839e 19b4 9b5e 205d ...SK.q......^ ]
00000390: 1be4 11a0 2721 6328 1525 226e 925c 4428 ....'!c(.%"n.\D(
000003a0: 2704 460d 8aeb 2e50 7cc1 f8fa b201 57d9 '.F....P|.....W.
000003b0: 15d5 526b 22a4 718b d175 52af 5851 526e ..Rk".q..uR.XQRn
000003c0: 6088 2f0c 0c91 efe3 7608 2c11 61b4 5afe `./.....v.,.a.Z.
000003d0: f377 9218 592e 40c9 d21d dd7c 16c9 57d9 .w..Y.@....|..W.
000003e0: 24b0 619a e238 33a9 1aff f876 90c2 e6e8 $.a..83....v....
000003f0: f68c 565b 8e81 8dca 15a3 9f49 3ac1 02c3 ..V[.......I:...
00000400: bce7 805d 0a79 8218 ee46 927f 78de 9058 ...].y...F..x..X
00000410: 2270 34fa 1675 15b9 5609 f616 9eac 2793 "p4..u..V.....'.
00000420: c07c 914e 60c7 66ef d2d0 8cc3 5904 98dd .|.N`.f.....Y...
00000430: a769 77ec e45b 1ff7 a484 c1f6 b6b9 a830 .iw..[.........0
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00000460: 2ca4 9319 60ff ef47 0f1d f5f6 9cd5 fbcd ,...`..G........
00000470: c574 2841 4418 872b 6c19 73ce 1314 5a73 .t(AD..+l.s...Zs
00000480: a76d 37c7 bb4f fd95 56e7 425d 2563 8f51 .m7..O..V.B]%c.Q
00000490: 2947 e6cd 9d89 176a bcb8 ea8f 551b 1735 )G.....j....U..5
000004a0: 0445 c980 41af 1e5f 0530 f68c 116c ceca .E..A.._.0...l..
000004b0: 23a8 2c14 7a7a 8e82 978b 218d b056 13a2 #.,.zz....!..V..
000004c0: 1e4a dda5 b5bd 3fc6 bafd 94b8 5994 e5b5 .J....?.....Y...
000004d0: c843 f46d f68f 37ea 9dd0 74db 1c3e 5380 .C.m..7...t..>S.
000004e0: 05b8 f8e8 6997 e109 b3d4 1064 bb97 af00 ....i......d....
000004f0: 3ddb e8b2 2d95 4ca8 e81b 76f4 c893 8cb8 =...-.L...v.....
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00000510: c94b 223b 7614 1997 fbf8 b570 cf3d 36a4 .K";v......p.=6.
00000520: 5ddd 9ee5 ff16 a7d9 dd6d 632b 09aa cc98 ]........mc+....
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00000540: 2b33 4273 2eaf 795f 3c53 180b 1d95 6104 +3Bs..y_<S....a.
00000550: 7ae7 4228 8322 c5cd 39ea af32 4196 aacd z.B(."..9..2A...
00000560: 9c38 31e2 31b2 8621 f05d cebc ae28 e573 .81.1..!.]...(.s
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00000580: 7442 3cc0 5eed 8474 2b2d b2d8 405f 0f0c tB<.^..t+-..@_..
00000590: 5c22 bf39 6956 6126 9147 8b73 a117 4d82 \".9iVa&.G.s..M.
000005a0: 34b5 e245 281c aa83 383a 07ac 7782 8745 4..E(...8:..w..E
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000005c0: cca8 714b b1c3 3ccc f85a 37c2 40cd 107d ..qK..<..Z7.@..}
000005d0: 8356 c52c da88 78bf a6a5 7800 8e41 5e8a .V.,..x...x..A^.
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000005f0: a5dc a03e 18f0 78b2 48db 418c 7b54 ce12 ...>..x.H.A.{T..
00000600: 1169 d34c 9780 207a d802 1e14 f3f8 6c78 .i.L.. z......lx
00000610: fa1d de92 5fad 2f90 f1da 58be 5c06 6e90 ...._./...X.\.n.
00000620: d979 249d fcb9 8381 020e 74a8 0c42 432f .y$.......t..BC/
00000630: 97a3 0a43 9c92 3b3a ef27 72ed cc4c aebf ...C..;:.'r..L..
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00000670: c8ef c2e8 cb13 f805 81a7 acdd 89c1 1f25 ...............%
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00000690: 2447 3b3a 8358 9cb9 6ece a02e 1796 303b $G;:.X..n.....0;
000006a0: b8a2 15d7 1883 bf56 d624 3a5b 2f00 5024 .......V.$:[/.P$
000006b0: 433c 8c43 a318 8801 5fae c883 e6a8 8379 C<.C...._......y
000006c0: 708c a615 6256 fa92 f290 0dab 9c73 5575 p...bV.......sUu
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000006f0: a55c be9c 20fb 9d76 4fe4 6327 faee 6eda .\.. ..vO.c'..n.
00000700: 94c3 06c5 ad4f 34ba 1368 7618 1794 604a .....O4..hv...`J
00000710: b555 c3d6 a443 6b83 abb6 3d44 7230 9c86 .U...Ck...=Dr0..
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00000740: 49f6 47a1 7c7b cbf2 5eb5 6199 9aef 41d6 I.G.|{..^.a...A.
00000750: bfd2 3393 3c48 3345 db5c 9500 c7b4 4b74 ..3.<H3E.\....Kt
00000760: 8eb3 4d9f 4996 6741 1e96 d98e 1f59 6d0e ..M.I.gA.....Ym.
00000770: bfd4 358c e33a 0c62 c1b7 003b b9b5 be9c ..5..:.b...;....
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000007a0: ddfe 37f7 9a38 4a40 998a 8ef6 c1ef 9c33 [email protected]
000007b0: 808b 9d9d edb6 13f1 8018 539c fbbc a800 ..........S.....
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000007e0: d1e7 d986 3be3 7d92 2815 dbad fdc5 f10b ....;.}.(.......
000007f0: 108d f39d c9a8 2764 13c2 18cd 29b4 36dc ......'d....).6.
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000008f0: b1c2 eb9a 06ea 136c 50b0 60ca 5262 c062 .......lP.`.Rb.b
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Zlib compresses the original RNA sequence into 8859 bytes. We can do significantly better by first encoding the RNA base sequence, minus the last 31 As, using 2 bits per base. For reasons explained below, we choose 01 for A, 00 for C, 10 for G, and 11 for U. Further compressing the encoded string (7468 bytes) with zlib gives the compressed string stored in the binary file f (7308 bytes).
The decoding program reverses the encoding process, interprets the two-digit binary numbers representing the RNA bases as octal numbers and then converts these to decimal, and finally tacks 31 1s (representing As) back on at the end.
Commented code
Zlib.inflate(IO.read'f') # read file 'f' and decompress with zlib
.bytes{|i| # iterate over bytes in decompressed string (yields each as an integer from 0 to 255)
$><< # append to STDOUT
('%8b'%i) # convert each byte to a binary string (representing four RNA bases), space-padded to 8 characters
.gsub(/../){$&.oct} # split into groups of 2 characters (i.e. one RNA base), then interpret each group (last regex match $&) as an octal number and convert it to decimal (noting that padding spaces in $& will be treated as zeros)
};
$><<?1*31 # append '1111111111111111111111111111111' to STDOUT
Choosing the encoding bits
It turns out that the size of f is weakly dependent on the choice of bits used to represent each base:
+----+----+----+----+------+
| A | C | G | U | f |
+----+----+----+----+------+
| 00 | 01 | 10 | 11 | 7309 |
| 00 | 01 | 11 | 10 | 7311 |
| 00 | 10 | 01 | 11 | 7309 |
| 00 | 10 | 11 | 01 | 7311 |
| 00 | 11 | 01 | 10 | 7311 |
| 00 | 11 | 10 | 01 | 7312 |
| 01 | 00 | 10 | 11 | 7308 |
| 01 | 00 | 11 | 10 | 7311 |
| 01 | 10 | 00 | 11 | 7310 |
| 01 | 10 | 11 | 00 | 7309 |
| 01 | 11 | 00 | 10 | 7311 |
| 01 | 11 | 10 | 00 | 7311 |
| 10 | 00 | 01 | 11 | 7311 |
| 10 | 00 | 11 | 01 | 7311 |
| 10 | 01 | 00 | 11 | 7309 |
| 10 | 01 | 11 | 00 | 7310 |
| 10 | 11 | 00 | 01 | 7311 |
| 10 | 11 | 01 | 00 | 7308 |
| 11 | 00 | 01 | 10 | 7312 |
| 11 | 00 | 10 | 01 | 7311 |
| 11 | 01 | 00 | 10 | 7311 |
| 11 | 01 | 10 | 00 | 7310 |
| 11 | 10 | 00 | 01 | 7311 |
| 11 | 10 | 01 | 00 | 7309 |
+----+----+----+----+------+Thus our choice of encoding bits yields the optimum file size.
Why are the last 31 bases handled specially?
The last 31 bases are handled specially because we are encoding 4 bases per byte, yet the RNA sequence consists of 29,903 bases, which is not a multiple of 4. Thus we must either (i) leave some bases out of the encoding process or (ii) pad the last byte with 2 dummy bits. We choose the former approach because it results in shorter code. Sensible choices are the last 3, 7, 11, 15, 19, 23, 27, or 31 bases, because (i) these bases are all As and so are easily appended, and (ii) the size of the sequence to be encoded is then a multiple of 4. The optimal choice is 31: each lower value successively increases the size of f by a byte, but the size of the decoding program either doesn't change (for 11, 15, 19, 23, or 27) or decreases by only a byte (for 3 or 7).
Original answer: Ruby -p, 11,793 bytes
My first, rather naive, attempt at answering a kolmogorov-complexity challenge. I had fun nutting it out but it's clearly not competitive. You can read all about it in my answer to a virtually identical question that was closed.
[Python 3], 10,667 10130 Bytes
This code is completely standalone and requires no files or inputs.
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yhnrZXGX4Lw4riaTb2gPjejGhbLdr6fn4dbm5Uk0592zgDnjhkbmJvHGauxaye66jm85j00f8ioawr99FIchuaj1rnX0WcPILh9FXrPaDXm6hPchLmfh6yL1L5UaHilDDoxyITwrmu5bZD5G0xnWh2hD-9yKr1aO98kyy8X6ij5r5bn1vcfDG52l6b1b4LuzjX9caf6Xdr2UbuGImLrZDMrmbmX1YiYv3bZvs4rxTaHwyhheMzYX513Dwbojr4zG9K35oedcvdy1LrrGcb1vhzW4aDFjZjYLja8PHWvEzGHihK1aJ9XXr3sLPsOXOymgK=6-Dv0XXg0aiX9iLhfWVw3zu5eX5sOLjaHPbJZr5X2vHxsuGsemdKHXZui8IhuYhrz1hLjbXcjyprFWPZvrZ5hsiRHi2uJ51=5D1LEbyJjyumD95EeTmOwuDDaEDsYH2eyiyHau2xz1bRr1Eb5O9DX2iX3jGLsu89horrDayHaOQfnvOxD5b8G1v9urabiD19oXb1jYvb4f4iDYFib59Xsfu5ckDjWmMdLv44WlMa5jZZivaNzr9f5j0TW3NzYmWuHLyFW19aPmOOLcSbr2vj9rT0jacna0Ge8ZskvWa9Yr9X511sS9iijsaub19Xrv3NiyHi0hOun4PiK3OGZIr1mfj-usOiMbgyXZvzob14brGd19hGdrziMJ8OP9j9dnHv5f-K5MssPz5Ue3ri5EzH651X4KDZd4uarxPeXaDnmfeP4T5T0ZDvXawa3byiuWJr2vDj0b4xPZli4Xe12vXWfyh6ibrXxn12b6muT5dIr3sf-YP5GuP4OUixKjd-iKWOWrwby3DmLhaje9OYhwM8jDVTDP5Wf1Yj3n5x1rXbdLa4HaYay5GEvahvrd91glHX1yz4fcpOGe-30mWwLiTcP5Fma52vfyPrbyJb506ydfx8KOjGj1XyyJ-yWrYr2ewjGkjWi5IzDb0cmvb15fkm4a0-eLEehzXmYLrYdxGvinLWfOTpb34juG5Wb0i8MvaXDnd0gj=uHPiJ4PiIMn1YjawajW9uD1YeP-ePdYhkrmmMgzhh9vahbrG1b9sPchvgkUWW5emH0T4Ff-wX2Z=DH5jmW519kbuPuJK9vzi91cK150Pi9r1XiPbbiXvAm1n5aORP8XGvaIMeOLhsa8LPFb03Tedf0GhunYiLabMzYm20v2uF4H-vZxizhdrv3ae8PZUkDDKDXmT6iEvAj5yYjr6DFHHzf8vXs2rbRvhfX1GGF9vi9cKGocHXNrDG2H9b4H05nDX4ghjpDK52IZEv1dT1YFjfWrPef9XWNdfb75Dmd1GIh11a54uu4YawO1LIYf9cPa5fdD0PG5X0WFdwrX4JPDnYa5raeWWuwrzr6iHzYawiX90EKvFbEb2XmrP5bAf1DmvYjm3KzcLcxP9DX9-nxr0baH4wIiO5vXan5v1buaGuOvwrszYnODZzH8aG03yXeXr0OKdz5lDeiTEbu9952DmHH5bZsmxrMX5rchhgy5-voxF1saGvXjrcMFcjvimLJnuWb35vb10bd8IvX8GJ9W0O1zgfbcj1sia1X91X0WxvWbaiiuP1b04vZLF5dUcfaO0OZ3aeMbbx93Yf55bj3gFYsamX5O4Hezjf91DzhjYe6daOjWlfD4OMj2vvX9m1X9G0Yuvmb6Tb91LfiW9n1a9uGOz09QaG5nLb82iuf8W60aiJwbrrda1X912GGuPWjsvjJnmbuGWvaQpnGhWfXwuWu5hXWwfWVrauW-r6wWHg1r8XvnHnJu99uHKNf8K5aTvdWyPvWuWXvfPhYni1acrweiX7Gi9yzdD3Dz1fXuuLXXv1WeeaAGXuz01zd12a3jfYriWfyvhLFDaX-H0WivsOauGznG7FGR915hPbLsahGmhKuWdDYLGbr9Xn4iuPa-ehhb24arjGNDGruciuiu50Qrbhm1eHv959zXa814O9i51umJFxPl9lNL2XyXLbYv2zX4Xyjxf9XD4j0Hi5baFXMffnXhsYPdjab1iaWbYzaZ9vwjsfD=veGGdK5L89A35edeiWHzFb5XLrdMh8Iw4FFi6v1jb3b7yyzW4vuf8DbrL-aOUWGeX9r2hH4bsevFpbibOfJxzArzuvYhnavQLaup9j51hzuaW9GgbXhfuzLLna9mLefmWccm11fznX1L1ccqlcb1DvzDvf6jnMty3DqzscJcyfkQEeIqwvIlFDuuQCGnvJgMnviwcy8L1LkvLwGDsx1OEriDMFYGFsqZ1CqQDPkfqCFDuvEwICW2qHbdpNXvFssvmwWYO2PjrDqqUsqDDrqnNCfyfxqCAfv=DuuOGaGGdxX8dC1JnuwtEWqxIvCeDMy6vzr8PCpai=qvGazt8fD1qWrCFuvqbewq4I6rqvn7CzQy=vw-vmkf9mv6bprqHIt1ycvjEvitduvYAFCwwwpxYoFEEouuD=uzyktYvzfaeqCaFcHsmEDmNEjCQzMmca3s1WgLIDmapbKycwqLtnOkcmgrDtfAqrsaL3QvFCnvqUIJfEgDuExWJWZbJGNDECuwDPeqwUgfwIvq3uFn2AsqfaCzNLsqDKEmwfDbtpCCnJibUAp4cFaXECuquqfkmCvspNTroxWwqGzCwq9FFququP0tf1tW2qzGkvCZmrwcCbKy-VtIkxqFDCpvqxuLAvigeFvOkIqFDFuOkeJnnnjwvCjziEkocDxFkqa2sqv9qaGhDGvGLGFvcpIpDzsC2qGa1z6vOifFJmHECIsCEDRCAiYjCXzCHskhwvFFDJDrckpcaswqO9EDzuy8DqNImnQDEryEmyjsAsx7DuwspwqDvyclEpNvbp-CiDGGMeC3CHkHFEprhUtuyYyYqwAB7-ltDotygHHEKIr2jFEmawnEuMqqMrEHkIavsrtDsImbzkn2rYGYgnmxsb0HxFCwcChJGzv14eFJvxsifaREvcFboDCimGaIOmnvEinGibuGckkbqmvFFvqvwibfkmAgakdGZ2frCmzjvGGnYjEmEFLHGieFCxPFCrEEtmPHxEia1qVPsDv6kv5ImCbXEyeIwEj1o=sbIwFxYLFEpEEfibkfEr4b-ut1qFrFnsiWDzKCWOafXEGOfqtErFGbymMjwwIodEjFajymD9GOaEiovaI5DqijtMGvFEbwdDvaCrPwlzCGnC-Cn4bCt1XIpJjydv4YeDYyifbtoEmbJowEqzEEsqb2m3DjFigadnCvxFa=Kyzr2LQy2okyFDnLL4DYuDQEimaWLIcEAEHxyCFaoiLABCpDLDwaFIiN1DcidWvuCkibHssmGIfD2FqNCDDbpbDGGInuCAv4kCfmMfG881mqevqWysgkmDCvpCHMFHqEwnDaHyambCRPGC9EGWvaCgzHSzOmjFa0C40rah6h0Hx5pvroFLXEHnb9Ybr5xNrYJxNtxzG=NxwxFgNNGfCCmSMC6n5GpnGfiuIecWLhXxvhmgwif8j0jxdG9WgdX5jPyXv1U5j4leReG6yMPw8FLf1-14LL51vJo5AagekMadmFGK4MAd91Iv1EcxNxxv0i1syILxM155-LW6PvMrLr5u2swxJnecv0meehpLFLEFaETAacOuLrX6crvLEFHjbDsYrDePsbn0jzyf2fjy9X-iinPfzWHYsJf99rjWaFWz80aYD10uInswjyYrsJNsyjGxniYj91WH1kwwgsbaf1XZPWWH2GfIigY9yA811bO0hWOfrXWRlljjo3Pxq4G5XZsWLhsyw1BWZi9lue1bo0LLvL5w30wxK1iK6gLj7LSxD7sEEbf1c3nL0aPzvs1szT1abNbzzm1PXLN2qlcqeurtvwDxWLqvtOFJfOl0KuRxdouaoAxcb8ktqt1ArAuH8v2wsbxPhOi8e9vDequnqvAz-Dr-JqLtL1xExNNviWqf8yR3WxKBGFL2xt5CD-y5jyxLLyYDxU0U1OD9HygJaKiwwylEIAh4KwCOYUwta3cBqBZNCAw3Ygw0xNYkgtY53iypkEKdayNxKHIWUvLfibFZLUo3tJ3jJ1xNHi25i8x4jebqiJkfO043iexLExsndCGJhvHM1YvJ1je4ZeuKffhpjva1AfFbLXsgecMefabuzdyKjZbarzGuXWZGOhZfXqlchaffLwx4NeiM5jDZLrIsGZD1m9ii0LuaWPEzz8isZ-byOvHPK5Xcav4NjEvojGv5v5DPY-0aI2rJuT6my1yPaNwgmGZW1GWLszOfvLf174e3veiLEwiMamdiWCxcvHqxjzfD5vtPwErAxvquEuuzv9zIxcEdgehaL2lPaSiCbwxvztWyyGNtNHwkdb01snH0McgcHhtxhkT2KwjzfKb9euZtZKWbJILqxbD7FhpN1KbIOwniBeB0feJvP1sLuGuf6pcKbF02xtE11Tzhdjvtnghlw3xvtfyzaSicqb2CqFkOay7aEkRHs1FFkMmwcFJqOWFmlJF-7gailB6OpvkGqsE2x1IUzIyiFG8mPqfQBpipTAbqIGtJAmCObFKKRdosJlbBFFCVqbWmzJAdh0vKKPpcF6moFjAKFEqGmVHHh9EcC=oLWskamyHFIRGAEqGEEbT5ijAypccf6apLKUmpZJpVJyoMwBwMgltBGJwdawcApJJt=cwAEtb-FGFVCEEzEv555CJfWO5CZGb2FqpOiiipOcDIqWgEEC-wqW6B4alsEIqoeGDciovVJlFAmicOpavF8O8jbJipcCuGix64bEifEQJUwo1LVb27HFH8nIkw=c31YKIpEHGf8CGmAavGmynHv5Wq4rCUeGcfQkcm6qa8GaWW-CCcyoLk4ZiWWi4cDYzzAEEmv8CvMGif4igHZJECMcy-KcyEmOId4X=KraTvUvA1sXetzjL3JbWwBqKHoinmDnqLqzIe4gvbJD0iu=pjCdoIIfwkZ6lVnlgZDi3cb5pZoEKr8m6KhDafbvnn5gQhCvqtLLpmhi"
import string as s
l=s.ascii_letters+s.digits+"-="
a="0123"
z=dict(zip(l,(x+y+z for x in a for y in a for z in a)))
c=""
for i in range(9957):c+=z[b[i]]
print(c+"0"*32)
Try it online
Explanation
I first took the string of AUGC characters and rounded it off to a multiple of 3 (shaving 32 A's off the end). I then replaced every A to be 0, U to be 1, C to be 2, and G to be 3. Let's call this new string x.
With x, I then made a new string, b, which takes three characters at a time from x and uses the reverse of my z dictionary to encode it into a string that is 1/3 the length of the original.
After this, it was simple: all my program needs to do is to have the b string, and decode it one character at a time using the z dictionary, then add 32 zeroes at the end to make up for the 32 A's I took off in the beginning.
The most recent edit makes use of Will's suggestion as well as a few of my own improvements.