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TESTVECTORS.md

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Draupnir Test Vectors

Here we present test vectors for different configurations of the Draupnir RNG.

Index


Methodology

The only parameter changed is the initial state, the width is fixed to 64 bits, the generator is fixed to the ECMA one, the initial value and xoring mask are fixed to the all-1s pattern, the soaking rounds parameter is fixed to 8, and the squeezing rounds parameter is fixed to 1.

The test vectors are presented as the first 1024 bytes generated, organized as hexadecimal numbers in 32 bit bundles.

About the Constants

The following constants (and their inverses) are used to initialize the Draupnir RNG:

  • π : the ratio of circumference to diameter (see Wikipedia, π),
  • e : the base of the natural logarithms (see Wikipedia, e),
  • γ : the Euler-Mascheroni constant (see Wikipedia, γ),
  • Ω : the Omega constant (see Wikipedia, Ω)
  • √2 : the square root of 2,
  • √3 : the square root of 3,
  • √5 : the square root of 5,
  • √7 : the square root of 7,
  • √11 : the square root of 11,

all of them were chosen because they are transcendental (or strongly suspected to be) and non-biased.

Initial State = π

6f60f4f0 a8909e47 edfe5bac 31d1057d 21bf17a1 70154574 dba6fba7 aa7a75d6
09bd6301 33b534cb b9c1038d 57f5f72d 7e08ef5a 9b147a51 402df398 1ad3f669
67a098f6 56d37e6f 936dec6b 59111010 ce2d74a3 18b10ff4 2b380072 00c04cf1
2c353bb7 84fc798c eaf7662a ff20f383 67b6a1eb 5f4eb59e ba1b5f2e 1ad09b1c
b2636438 dd6e9616 fa866131 68005b9a 69d9eea2 b2655f6b 2234cc0f e77dcb37
a1a2c1c1 1dd59835 b2ce42c2 947665f0 bfef306a 9aa77759 ba1e57d3 27a10281
f8d24598 e6b61354 93faffa0 ff82d09c 86abee74 a22e3850 4f44db41 52300256
1d97a271 e6f21292 129dc83f ecf465c0 e9ebaab7 2a090f49 4a535139 fa0fa739
00ee1551 6756ef89 16e95962 5ba94ebc e50e3fb9 3a335199 022d8a9d 3fb50fbc
2ff954b0 0f588015 8c98acb7 c58db2f7 8727e42f 260025ad 43843075 8282c9dc
609a3052 8e71c42a 37c62aba 95e15792 d26079e4 dfaf41ae 1b02b608 e06c3529
cec44b7a d0f866bb 2a2aa4ef 3dea9d06 b68e6f3b 1b0d05bf 533daa7c dec2e98f
b831c530 44df4a1f 871e97bd 1399721e 98c35b39 b14babd7 f5cdf09f 5c29c30e
1076e409 f9e82015 711fc0d8 02cc4c7a 2e2d0cfe f237c614 9d697803 3839256c
dffde3b0 10dfa6cd 62bee1a0 bca9edc5 d0038145 28d7bab6 0443430a ef6bf16c
87288399 76cc9b5f 8ce1a73a 9235cdf9 bad41483 a95aad35 f6e174a7 6d0021f0
f3ca8462 cf18beed 06ccffff 60b9d16b f1cda774 e8492459 ea68fb6e 80c7b931
0b1fb35e 39bc5ef2 f2713262 aafe0fed 0319f677 17f92168 9a481526 888cf7f3
7f6cc77a 631907f6 cf186d31 23ce972d b75e5b05 90527ee0 cf219155 9a855373
ca6383a9 34bafe91 94883d03 65ed4d1f 8bf36934 3d0ecb16 75724d02 d4baeb68
94ed9173 968549a4 0dfe73c6 fdbc0294 07c5bcfa 481d1858 0c643c62 8d9da082
4a3574f5 96a95c34 0d96351f 476cda9a 1331f36c abf255f8 3e780f4f 23ba1cbc
11c7e9c8 caefa821 c4ab8269 fdbc3956 acae2208 cd0507fb ca72d0e6 52e2c069
f9559380 47c72f6f a52bdbc8 246ad5e2 d15f694d add0dc67 276f3d66 f0215bd5
35c742e0 8f8ef55b 69e9b883 923f8fd6 351a8f03 a28cf6c7 8f5e59fc 771fcd94
77928d42 435f7ef5 4629157e 2a710bce a0c8af6d 0c619f9f bcae35f2 37763114
a66d7f23 7d7bcdb2 312ee495 8500144a aeb4c31b fec4ac0a c7c33783 b46194e3
75649902 e56f33ce 7b90bbc4 2b833dda 55ec2967 5db5503a 517a1ac1 56ed382b
511dea3c f11fa280 23f932d5 54b5a6ef a0172394 1e26f4e3 bdffd6f9 48e65f96
9022b3b6 b70fb714 e0c73276 1a8728b4 832566b8 8a10fe65 ee8f97ab a891b63c
658cf4ec ec8db780 9773bb7c c6349618 e686c705 894e6ba3 46d61bb1 303bcf90
4e399c0d f7a7fdef 20ba8e24 a0c885a6 eea4b561 7ee3d124 9fc9cfd0 a46f2016

Initial State = e

331ca728 166e45c8 d13b2fac 0931bcd9 0699fb50 6a16d6cd 9e4fcbe2 0e299af6
aa79b177 8ccc39db d772a17d 3219cc6e 5f5a5c27 1a8c0f87 c7f68eac 66861444
f1836320 82a353e8 3e843e60 859bf83f 9ad4403f 9195c9c2 475e5aff 435d9d84
da6686ff 44db04ea 5e51cb64 867dab15 af267f46 e86f4038 dcaaa053 d4e643ac
5bafcb6c 8e64e331 77b63fc7 6b2b77d3 9dc183d2 23d685a9 b9d1a95f 2a662f0a
c86f78cb c07bffb4 2173b62a 4258ffd9 96fceefc a21467a0 19c2d521 e3c23098
2d953277 54f0bcdf 9936b852 03dd21ff ba0cbf87 44746c28 28e37de6 20f4e80c
f84fa423 a79e9382 dc03c26e a8a8834f b9556452 f57a8807 07fff709 1367e967
4db1e192 112d4d40 09dbf579 5f570d23 c2096ac1 99a7bd2f 39181e5d 9fbee4d6
72e50ca4 5e6cd77e 33425360 846a29d9 e1b09e4d 5f663f25 47b34207 c83fbf24
ac1a9bee 2f3538c4 dcceba03 92ca306c 387ef717 9dd10e42 0dd07fcb 79560461
dd13f608 8c321a1f 20e8dd4d 1b60966a f1ed8aba 0c27d3fc f34e768c 0d9e5a4a
815b5a6e 69be2fde ce18b62c 3d677186 c078ac0f 637e783c 09a03262 cced4914
9f9c73bf ed298afb b974f4cd f8a3a6d2 e634a4d6 08fb1744 7d33e53b 65901a60
e2a9524d 2cd4b7b8 91a2a879 c8d539c3 15e63cca d8bcbb03 c4841314 4de87d1d
ff3daf99 66b701d9 4506cadb 54bff839 a97f33fc e61a10ab 6a8f955a bfce9a35
e89d6dfc 245dff79 62cd0e7c 7d64d516 8afb3e7b 0efa5205 938660d8 5ea1fa68
2aaba76e fd366709 d433ea1e c0439268 16f0ac5d 3084a5f8 d01cc1ce 59ee860f
2b212a23 76bac579 34e74c55 23cb9189 7cf61c31 9dbf410c 6a23a29c b7817bbb
8755b789 883fc027 1d2c2203 ee075500 402b086a 3ee9574d 39c08d95 3d4d6ca3
bb610c08 8a0799ec 251144dc 017a9c9e ec3c18a4 51c9fe55 59b8bf11 d2aa3cb1
4e57ccd9 3cbf0134 f1f6de11 f653ccc1 606f44fe 3996cf06 2841dba5 76adb1f9
fcd9b63c 3872c2d9 41a9761a b8873536 3d9cfa59 9299c183 ffaec229 dd5a3da9
8799a650 2e07d0a2 6064ae18 dd2ee27b f89c2c7b 13c070b0 034abbc0 1e3fceff
5ee37c0c f39920eb 890974eb 570fcc94 5d192be9 3ce8242d 9efcde75 9d4c5979
d91492dd d9176455 de539028 7f11f694 b20154ab 0f8a30f8 1086521c bef295a5
3aeacaec 40d0c386 60d6ca19 e2f607b2 a0669b69 beca50a5 15d55aed 8cb8c076
4b26a663 5249ac73 e269044a 538e6c22 85ffc9b3 819209ab e3ee3334 1a28ce30
a2b42856 0babe766 3be25116 3557d910 aff650b9 24f3d7f5 1805d7d8 7f22bff3
db8ec795 c21c5f0c 1fb39fba 076b3271 6621322e 69289711 ec31c6ef 5b1a8d30
caedd924 253b0eea f326635d 51d47f6e 8b128e3b 1d6dfb1f 15629dc8 a7b36e0b
d1b9103a 86369c3b af8729cb e7063f37 7e9636d0 22d8754a d76bb739 15d4cedd

Initial State = γ

c95fa64c fc0b3670 0ea980e5 950654b3 70e164d5 30d884f7 6185258e fc520eee
e39b1022 26f97ce2 6d28116a 45b629a6 f4296a70 b4b36731 c934b154 68d2d274
3db4ae7b 1a5aaeca a278c342 10a6adfd 61ce577b 415fc76c 8bc8ebc4 8472abf8
3bbb0529 ad7e304b 6e4a596e ee25d787 242710e1 8fb178b4 42ab04ef 37e79c88
92ae525c ee4dcb5d 118d431d 6bd2bf25 edf139cc 503757a8 8bf9fef5 dca59249
d279e15d b4df49a2 37071e5a 7fe5fc77 4ca1c16d b587afb1 af64c01a e20a039f
7a492bdc 504bfe6c ebf6953b 3bb11db2 2b38d718 ffe9b6fb 7659766b eec8ca6f
3087a69b 3a5540c3 e5be4ed1 470ed686 851756cf 5a7d6d6c f6129191 5444bf2c
3e3d3409 05df9a86 f78ebcfd 6daf510c e6633c61 1c7cfd68 ab25c635 7539e6ac
90016d64 cdb23cd7 c344051d 086dd4ec 2ce5a8c5 23bae158 88f6b308 7a921f13
c0133929 1cab7d21 756ef69b a36e1c90 47b64b93 002a115c 2b26e86f 23efe81d
5bd84425 7c2fda80 62a5bf5b 9380185f 4e8e9b55 72ac66d6 bf8cbd11 fe88428b
c766122e 0612b8f0 09b61124 0f9e8764 302f16ba f43cbbfb e9b9db4b 4c6470ee
1572d5fe 1d71fca7 926a0291 0e163c5d ac1aaa94 846e0212 e9e4d83f 4506775c
a02a221d c9b0184b c19627d1 d205ae5e 74d4f68d 6f86f0d1 40837a49 43926cf8
18ce28c7 7f538d4e b713ca9a c26ebd72 c6769c9c 5a136315 95b31b4a 9b32be45
4c47489b 1cb72db3 26228a51 b7f4c571 6c2743c6 01f29486 c5116366 831c8e81
547065a6 107830f4 b5521204 17c519ca bf6f9e96 4df12b4a fce0b3df f0424a69
0145c38e 76cec091 2e9cdbe5 efac71b1 423d2365 bb06d60c 4a56e1e8 9defc61b
0d49c000 ea86cd63 dcc2f939 3c81c1bd 85b08187 a9f2c27b b402e386 791f7f06
d9cf38a4 bdf1e67c ef11a653 8da1bf05 5a51f426 b15ecfc7 c23d5728 cc33b571
c292bce1 fdc6651d 60761f7e defb6f05 716c208c dd4d6ac8 dc1cc72a 85a8a9a3
1cc77e2a e861477e c2c52410 1a67e1fe ea74d66e 5ca01872 424e1524 4e4c5aa5
623ba797 47f64f6e b0a8c61a bccb2be8 8108ba9b 3441fb1a d5f23754 26ba7b73
bd708d38 4d57177e e1135260 7d41dc6e d6b163f6 31db6042 d03ca85c d9f6a18d
1eedd2cd dc22ba21 80a744a0 53e3b3f1 54dc7d60 76c38325 4f665911 b578a54e
7ccc1cde 132ee19e 8835e840 3828c9b1 d3acaf56 3bef4070 4bfabe64 7cccc679
7aed9729 67563d85 b5e117df 79372243 668078a2 53fb4a78 9b06d4d4 7c9f8dd5
dbdfec45 a3466b82 de7e021f ebb5294b c635cf95 75f13382 47fc64e6 52863c75
5bfc9fe9 ea1ed861 9cb6ef9d c790fa85 09911158 a108143f e3559e02 c5d70dd6
b4cc760c e4a40c72 f1bd3c77 77ffc583 b88d84ce f71e5294 db90efd6 6a06a380
264a632f e631379f 79f669bf b8d66568 81220a31 49abf63a efd0713f d2e93bef

Initial State = Ω

a7e78fa2 8fb415f7 4dd32f1b 80e93c3e 73c695eb aec68889 9bb6cc76 fe455e98
55530108 bcf65179 10b8009c 44a06608 feb3c433 b3a0cd1a f8a17a84 1397209f
b81c00ba 78920113 2194b1ae d710e1b1 05f05f87 52239447 62bf38f2 bb8c2aee
5e660c65 a5e12f1b 626b9de5 7d5386e6 9646d7b4 2764f72d 25e0b219 17f48724
3afd23c8 64d77202 7489cac7 653438ca b2243da4 08a333cd fdb57d69 ee5ca096
840e6656 870dcdce 1b1c047c 20851961 653fff11 a94483ed 5c430cbc 6eb50747
0180ac0d c9f88e71 a8eef601 50c3edb2 fa86b656 64e6b090 d2a62581 77c03cf3
83902275 93bd1212 744725d0 0c76a1d3 490145e2 3001107e 238b19cf 157c2bd2
3513f519 30dc76ca a5230f5f 4bcf0c69 4938407c c7ef06ac ac3469e0 a0c1e2fc
1ad2bbc8 eba35ac7 e782c554 beecf261 d9bcb339 0d90b9aa ca76fccd b4e3b008
e176ef4d 50cd4727 cf2fca54 35cbc91f caedc40a 562d6c79 752021c3 1b70f08a
b883c130 f8f23e4a 3388a471 bc7f27d7 b7aa1f4f 4cda58a3 6c6f67d3 6cf99592
e8f83668 c02e5499 b511538d f884d944 78f32014 189ce564 73d679f7 54cbb32c
9053a630 b6a12f5e a1dc23c0 39ea466a 26817c72 2dcac872 2ce6a826 b1348342
df355526 a36568cd aa00b3b8 534779f6 0b1d15e5 051626dc e10db83c b8f746f8
300509c3 4b2c6ae9 8ffd90c5 5baf1621 9e8feba2 15b2a663 8294b407 530ffb9d
c0979c17 c73bc6f5 98e148a3 99d34268 6aeca0b0 eb499eca 029a20cf a48be333
78efa88c f5aa93d4 202523d2 468b2e11 6c38c9de 8b6023dd 00069ef6 a13ea9c9
22b3d638 85405e9c 99c9f138 6d0d0809 68495f6a 2aa4f5f3 6b111b9b 586c550a
28f566d9 33a7b81b 55b7af95 d7f304ff df862429 75772153 dc1ba638 462e792e
899c7cbb 84a22cdb 95865788 c36101e2 1af5389c a193a72f bacda401 e20427ad
22d0e820 dd56f59a cacb7831 d44e41c9 8cb299e8 71cc742b 8229c3a1 f36b2abd
01938826 b2184068 8a5a5b1f cbd9d1d7 20e8dde0 19ab3726 903f10da 18abd4ca
f5bf743e 5901d635 af4211c2 cb95a88e 8b98f087 9d5dd219 37b30075 f3744d25
2111d085 58ff563c 5a51d9c2 2c9d33ca 20beb60d 03963987 62f68513 0573f81f
ad4b4e7b d999a41e c053e2b2 fce33735 c9c2e3b7 27d31d4c 63781d98 e4db3e2e
579e3039 e2cd7ea8 384265c2 e365e603 b002e021 20bb964b ace9dc35 bcd55d28
5f003dbe 27027854 d97e2584 fa20ba72 f197a6cb 3ad9dfc7 33fe1d6e fb2c74c1
e9a7ddee 9a5f79fd 86c83b5c ecb161dd d46b201f 7f19b4a4 0d7b25b6 7fd63ab2
6766f8e9 cbdefb8d 74b7b9c8 3c66fed2 d656f636 ee05f811 3bbaadde e72c90e3
6be9c6cd 70c83ecb d07f261c f9080e6e bbdd0b0b f5e14040 50212006 810d68cf
9e6e186a c831de9d d44dd0ce 916a8ef5 703a3e89 faa65f01 9160cd24 7163f31f

Initial State = 1 / π

1fc94eaa 677b8cf4 e4966903 27245fff e48a6b75 78da2b53 fbcad6ba 8b8063cb
94864e8a 44beebda eba65900 7605e72c 452ced63 070ca93a 2648f567 543af961
c560d4e5 86f1286f 20fca948 4b0dd31b 4851652d 4695515c d7d8bfad 1c42cd50
e3865792 64845801 50cfd570 d8caaaaa dfba656c 19a1e1c4 6706c9f0 25420b4f
c21b5a6a 1a4692ff 27df7550 7542100a 53b99340 e52ccb6c 3b4b8b39 4727af58
1cb1bbfb 9fc4e50e 86325907 0ea272ee 3fe5b2df eae38d92 2936844a 2428f69f
b6502a56 fa4d9f9e 8caef01c a9516809 cb8162c6 bc4d5549 afd43b6d f4fea1d6
424fe093 8d41a111 b02310c1 82da085c c08599f2 53da6701 2e3cefcf e2a38db0
7942147d 586bff59 3d789715 00e1a112 8681783f 5dee77b5 9e586dd4 e5ba7feb
ce2bfe08 c1c5e716 60bb8a9a 298db759 5c572c68 ef8b4d9f 821a4dd8 23ad8551
4ff7f3f7 f1749bf9 ac91ba44 8c0fc1c4 b33b07cc 4cfefb60 8f4e9c28 1693e00c
05629100 04beb21d c082540a 7d46ae37 6016e316 c5e71f45 e28b8e1b f10b48eb
911de4cc b0c8bcb6 c44294c1 e7bdd291 da6ab3ed 0e874f54 f554d60f d2584748
b406f442 777251fb 04931d91 06c3620c 374436bc d4343fc8 9a0d0670 7582766d
12ff4131 6c9a19c6 c3856644 449392f3 59bd917e fcfce40d 6638a296 ccd3c10d
375fe536 b117088c 6670247e 1626092d 1049b7aa c0663c54 2f583aed 1e2b49c7
0a926a8b d7f13bf7 09e0c8c6 a8c13d74 81e99ce6 6baaac42 730cb287 9e7932ae
6579f6ae 4d7163a7 2a009e1f c03f2a41 d48ef8e8 ddaf29e4 4cdbafda 9d36fbce
0a2ff24d 3317c3a9 4d3bdfb5 064735d2 3d67b488 53b023b0 a9075d9f e2c53348
9412595a 48d1e094 b62a1541 59ef2310 099d7822 951b602d 2ec8d943 038fe97f
a0a238e9 c09d44a5 ec037452 90e6aae4 a3a040b7 0525b4be ad1200f1 8a1bdb53
573fbc77 981dadcd 9c11888b fce296d2 39a1f132 398a66ae 269fcac1 e2462f9e
f73a54a2 193bc0f9 7eb46e68 b5bb28c2 e7e54d07 39862ed7 0102b879 5dfcf313
8b33bd64 68f19276 73e849ea bd46364e b183fd51 708b4676 2a8ccc35 da424358
f3a07298 2a5e0254 50388e77 b4f6521e 182df04a 691a97f2 4208eae2 2e59ee10
258df25e 8f114341 b007e555 da25aa93 29060dbd f8c462da 5ba84be5 b3bc1e48
d5216f3d c1b57629 f5dae90e 1344b666 02db7139 81f6b257 495521f0 0fba5fe0
f0116bb5 eee13c69 c631afcd f0fd6ab2 dce07afc 2b812963 8a443a2d 8db7d3e1
241f9f93 f7939f95 1b40bbbc 7c584dc3 152c937d 2e4888ac 1565bb1d ddf6a9b5
1e4b5a24 e5259681 9964bc4b 88851643 93c9ff31 009879bc 77313f52 926f7b60
c3d2e8c7 de7eab14 dbafe8ac 4223bf22 b9a986fa e22d5199 429898b3 df61c814
b915eeac 03e16da1 92a816ec c7b3e545 78cf62ac 861f2ce1 707bbbaf 66ae736d

Initial State = 1 / e

67cc69f1 f75d5600 954f3d6b c7ee6150 bfd85567 ab598cbb ece065c6 fabad7e2
ddf61979 82597098 4bf0402d 46087e56 a69dffc4 bcf0ee28 ad1a4531 4969c67a
9d9f8cec ef779359 acfb4292 f45ee8be 64918cd2 87989e2f a42a0d79 96a62fb7
392b4c5e d50e549b c186eafd 4b6db777 3ed3a321 e2f945fb f4eaf82f 9725947d
e4dcd81f db90ff11 03917e53 21954312 626b26ea c6dc4734 ec254ec9 a39cad3c
bb37e624 ca8a57ea d2ecf20f ced28c14 70ded1e3 3c5a9718 15f2e633 13d63e3a
e39b8578 5c947760 c41ea265 bf04eb59 2057dc75 0a4b656e f7cb6e26 ecf630f8
ae1c54b6 5369eec0 a5964d92 41deb68e 288a6d8b 63cbf06c 3dd11188 d6b44ac5
8ffd7b6c c4bc8dd4 603c510b ce59f28a badcfd8b c5b6312b 8e0b5010 a5e0cca9
65e9cef6 b05909cc 0efc1e8e 6652930c 03b4acee 2645ae6e 0f2b69ba e1dda3a0
90dea1db 81a5bd12 8d404a00 ea88916e 7336f234 16919bbc f93eacec 7f8c1f28
2a14d5f1 264688af 444de7dd cbac232c 780389c4 e880cfb6 76691c2b 63ecbb08
ed14f6a3 15b4b88d 4a0f3264 062e85d7 721ab55c 6d64b5ce 8cb7a9a0 f319a8e6
060d3473 e0624f3c e8da17cf c447bfca 5602c992 caf0c828 e0e2fbdb 8f0c161c
9a8338d2 28af585a be2e84ea 4ccae48a d619988c b8f39ad3 580965d1 412f9477
a8926226 cea4dd6c e73b8791 0280e156 175eb93b 9c030bdb 0f999b02 4a50514f
3b864a6d 0e765451 6a37bc90 f12e16ed a60fea3f 8a3b99ce 735cfbae 816255cb
ad05dc25 f4ec6fae 1f5b2e9b 6433655e 6d038013 547b47f1 2854b9f3 003f0db5
7c75be72 0c1a27ea 7b30c828 12e62ab0 a6cfd5da 8eaf8c11 50dc1631 a5c38ef4
6598ad8e 1d2cef89 e3852320 a280e252 7b90ba3e b4220ea5 b8b2f892 70e9e6c0
96a0d2ea e430fe2e b47a9245 063aaace 67cc56c1 efc0e00a 8ea822bc a161170b
7ea09146 caac9af4 fa2f8344 de7d4878 83326fe6 f0774b4d 54fe2342 9a5ba228
b2340756 a65308b2 6c7b14b6 503207e4 1762eacd f398c1fb c98f4cbe dd3d2cdb
80da900c 7c3f38db 3213751e beba6db4 79c74e12 ef0fc711 d8f07cea 2e7afc29
9c7b9410 fa80c740 23f174bb b769fd7c 68a8e4d3 e8144fd3 0a05636c fcb303de
755c7808 87709b87 e098c220 3e4f5fc9 8a07d55b 90ae8abd 34eb28bc f671d890
dc57b285 a0a7d7fd edfbaebf 13176cbb 37967e3e dd5a0e07 d71e6a31 06929a40
81916eb0 2809ab9c 44dc5c68 73a507fd 6d3eaa7f 988f55e7 864f5753 642fc83a
357ca283 e065ad95 cb46d77e 82be6e9c 1a998b8b 5498b9ac 4cd4c76e 72006025
d5803376 3bc52329 d2d55a18 baf78733 4ddd5c9d f74c41b5 76df4518 56328e8a
c52bc1cd a14a0351 47a7a701 530afc44 cf06da21 89a09833 1b4ca13b d9ecb003
073cc346 3b5b3165 3ed58599 f1a28f88 580a641c a2382a1c e5ee33ab b61878e8

Initial State = 1 / γ

bdf81742 6f9f1ea8 f1b8cd7b 034969d7 34dac224 97439487 29e7a6c4 9e80c351
6d4191e3 d2455be6 257a61d2 f700c3ae 60e958fc df29bd5d b06ea218 75064f67
5136ef9c a9b18bf8 a048b173 05261c07 c86046ad 21f2463d a16f6c37 d06d4c2e
b0ddd286 5fb9c58a bbc5dc55 86a0be40 3366e0e9 91070136 85457a64 1bb01ba9
def34b64 a6d1fea4 a775afd6 eb46520d dd688f76 bae5a441 24324542 b1b443ac
eab4be51 b7f13bfa 3c2fb322 18d09eb2 7b989eba f5bf443c be0ce42d ec3fef7d
885a5f02 a245fc43 3c961f59 4d76126e 8ca4e7cf a74c6466 01744449 f2170dc5
d7a53a10 aed7d6d6 0b268e7d 5b8d03b9 35438fe3 1a89a4fe b262ade3 7403c1a3
f5aae9dd 15bba6bd 3c8ad496 e0d7b0fd 31de409b f9973e29 8f80c872 e4bdb9ab
af124f82 485b13f0 10c58de2 5139c028 51fc9c35 cfcb4dda 7bda1b67 877eff7f
506e1090 5dd3239b d801a1ea e2677ec4 88a7b58c f9b64f46 ac890eec dc03ec68
b649da61 30b670f7 d9cc34ba 2daf9a6c a2ab5227 9ac904b8 a12e3220 9a9d505f
d73b6d34 a87c1b0f 8ad9245d 0c1188c9 81ef973d a3be0190 b579afb0 485e3a68
3efd9554 28e22ec6 669d6de6 47cb438c b6fa5736 a1e7ee41 8806d24d 19213094
d6ddb94c 90bfa984 f7834f69 00d3c277 181d14a5 d295d731 afd58009 ad4ae6f9
790f42e6 4a306713 ba5d6b4d f79c4d9d 05992484 4dac5e24 3cc13be9 fd2a0cae
6d94f6a6 2b23a194 243b5ed0 107b4263 7fd215cd c9ae00a9 cc4c9bc6 5e037547
b68a796f d77664c1 b4dd7dc9 72ec8c12 115b6c41 5998a38d e8e6fa03 36c17626
0f19fd06 32df7099 6ef85c98 505046dc c44168a8 16d90387 512ed6e6 3c63a10c
155cf62d c9e7bd36 92e786df 45066b17 daa5b272 fb72577a 3f2ba2c3 63dfa024
1cccd020 0de08171 c6e060ea bdd1fd62 550f9d31 108f8f31 9e3af0c0 3a8ecc26
1689117a 06716737 b0d6e91d c0ceaac9 d21ff358 c16593a3 a0bcc537 6606d1db
ad6c4c8d 26fbc969 c3274993 6eb1af99 e2a75d68 bdd39e11 df432ebd 2f79ed10
a3b0faa9 2070ac84 d06d6128 0f801b76 4a2c7698 5acff40f 9d2c9817 6b8928fb
987373d8 b8e8263d f12e1023 a2717ce6 df53eae3 e40ffafb 91389ffc 4e27408e
51ff8d5b 70249e67 4b93e19f b14e345e 4494af5a 7d281449 fc0f9648 c6cd1cea
44e0084a c7a3670f 9fd8966a 4d885570 508051ca e922ad20 8de624b2 916dcf9f
73dfca50 cc83bbd8 704dfc0d 5bcbf64f 09fca4f9 1158a459 a3aa0c66 8977459b
5dd7a751 9917b47c 55f9f81c 4cf92527 3dfe6a26 45eaed61 9c21637d 49a1b97e
d6933d9d ec8fa12b 05f9f225 7eb33d71 ae6d10db 79675449 e7c7129a b1e17245
fbef1567 c87016be 8c2eb527 e074108d e88f03c5 73ee8f74 9a980d79 389967d6
9f67c7c4 3264f1fa 1ae201a4 2ab1c011 e9bf0df2 544bc8b7 89efeab9 a4fc8e12

Initial State = 1 / Ω

46ed1fd9 42b78174 cd7a37be 48a7470e d26bbca5 51a10ea8 e91b5e2f b410faf3
d1da301e b4f7df9f 735c86ed fc789f2d 66397309 89ef758f 3e580f34 6382249b
0c670938 e32fc2de 1c45e38e 4038630e 785812cb b4905289 71f1aee6 e1391a56
eddfe3f3 06a61a68 c0417955 fb5fd9b2 2f35f260 fb8a67bd ac4227e3 2ce63dae
7261d6e7 bee3fbce 804e8023 38140b3a 3cc2ed5f faf0aad8 96363e64 64470812
5f5e1e95 cbe23172 56695fa7 491884bc d91344d2 b9444b43 dad6555e 0c39bae3
6467461c ae220cd8 3dd2163c dad7b312 c22d5078 7e851cb7 f068e4b3 6662ea63
c13dd80a cdf8930e c48d5e73 e4b8e5d3 4e692186 a0c0bb98 15d73de4 711d4604
78b03c08 32ed2f5e 2b8d8a25 e9a5ca90 551b05d8 c5ddee40 24b78730 aa3546b4
f254b7a6 e0cd7674 748b4959 2d2c32a2 6877c5a4 3c5c3db0 ad593320 968d3974
b58ba04b 45c1c0ed 3c5899d7 4e555e9e 9df0a87a 0e63eab4 589a4f26 e40d4d82
c77ae5b7 e89dff77 fcedc38e a4d09e64 66015969 65e73010 1d925613 f9840d5f
fef28263 a7e2b441 97edeec1 75f083d8 1c302cb1 d27bbf63 2f011988 b9a5bbb7
050f634e b3dbef0c 2196eb2e 8984a438 331935e6 d50429fc b178c532 ed76ca23
c8f49ecf 1228d11b 064242ce 78c6c53b d9f7acbd 6d76cf56 c4708146 0a5cac28
8d550fd0 11400d0b 0bc64282 1a3dfcd8 69a43d30 c5c5dcb1 d63f4798 48c843f8
550a3d44 c9478efb 7669b0e8 6a367016 499a7f80 e23b4e25 31ef922f abda07c8
09a414ad 821e2fe8 7545590b a3d3af8d 010c5ace e7dc3973 2c53213a 0b3448bf
09f36133 3c318566 4f6372cd a520bf62 835aace1 847e551c 8ddb0e97 ea0a8bed
5b5110cc 4b4f217a 5c133ebc fc1e0864 894f980d 3b2ed10c 5a3286b0 e7e61e3f
ecf034ff 6404898c 092df8e5 d7558c5f f7615fbc a4567b3d bbcea90c b0747c93
c28e1e98 daa9c675 ff37a0c2 cd0c6a75 9f8609e7 3a54fdbf 3ee941c0 e9cfc4ab
795db378 614c13c9 4369dc08 cae8f4f0 9c513f51 df2692e8 8941fd49 c0383ced
aa8cf251 e193a4e8 728e423f c7143faa 20725832 1026640a 44958e10 8fd59e7e
13e5eb6c 260487c2 9654c47b 0bc2c334 d70cb43f db564136 a52a2239 dd9bacef
b0f6443c 6f545e0e 2c34c569 967b86bd 120fe15c 464858ba 1318791b 8f6d1ae2
1c908521 655989d0 7a2eeb17 87772fa9 aa6e2dfb 54dc68dc 61b06ff8 cbe80ce3
9a9fe66b 39596401 48c22e35 8b94a5b1 32515204 376511d4 c5b90ee2 3f30f3fa
2770183d 1283b73c 4fda9551 1d54efba 66e598a4 40849c40 f0a07965 ebab5335
0f2233f7 d890c1b1 fa5ffda4 51990c6f 65333452 72dd09f7 7dbb1f71 584b5c62
6a366cb7 1dae0898 86e1cb63 0411b38e d1d5f6b9 38aa6f33 e2a8addc 854001ac
08bce2b5 e1229f7f 36a26f1d b87420f9 d3cf779e c43f41e5 c71cc5ff f527fd07

Initial State = √2

da52ac2c 6605faab 6dd739c0 79666b7a 109c36a4 3ad36a57 52506abf e7e19667
cc547e8e 296190bc 99dde635 1fe64aea a97a52b1 c724127d 88ee73cd 5604cdbb
bcf7cd24 62c343a2 1a839b9f 80385d64 ae9d5cd8 5c696d8b 638516a6 c4c377af
7a339ec7 af0babe8 48869ab2 bb83f480 859f8b87 ded42130 b752e2ce a5d27649
7d50d794 6ae94425 de49ff28 b53db51b 88be9e78 ad0d0cf5 a38838a4 f3c1bef1
06f2f4eb 6d615fee 0876e195 a3d09acb 54142b5c 636740bc 8d143ee8 c18d81ee
768b797b cb788d02 bd5aaaf4 e975263d cbfb53f0 0b8c37fc 20d8e2f0 6c894b56
36ab3e92 9ce331aa 43186c26 17e3979b 7e59de6d f3cb7c66 0a5dcbaa 7087466e
9072902e e7ab6816 7ced9c6b 6df20966 d7789552 1eed9fd0 e0e89ce2 d1007af9
6d0da044 532e78b1 1258ae3d d18f2e06 8d87f66b aba15acc de6c71b2 3bdc3d88
497e333b 5656a6fa 4ffe8a12 3691724b 256ec929 7d679672 ccd721cd bcbe5903
bedf2862 9f358fca f47c4737 101710ee 551869d0 9d10f248 648b870d aededf6c
ca0e5787 599ac68c bddad67e 38186236 a951892a 574fe8ea 85e8c9f0 66f5d0b8
44e8fc5e 6192af57 70b10615 598c6482 a1f56e4e 243cb3f0 e366d947 070adb2b
d31ed0fa 7d0b3201 472e0a81 379f395d b0a59b4b 59b9b659 86be760c 2cdc09ca
275addc9 04f90123 80c22d3b a8221f53 4897f0a8 6a9fa39a ab4798eb ea361eed
36bcf6ab 17d5b268 a4c414cd 5ca47d6f 8bb1c0d2 ce2cd8e1 41c1f491 389b9b34
135ac18e d0c48db4 ce07b29b 0b831fcc 99c03cb1 1782d984 5a5da45c b69861f4
2f82891e 891d7425 9897e6b3 c570d1f8 e2869c7a 6f85f8e2 ace234d0 d34b3d1a
c88fcab1 5c30a363 e2d4e959 3f5139ed 1247abd5 c3fad577 c9cc6573 b1f1707f
ee0c52c2 a97594bb 1a07bb54 43e1ba41 099f40c1 a5dcb658 04806c7a 136e6efc
3601174b 5f32ed68 61cee6dc 8eb82f61 bec5669b ce88ecb5 3e2a0705 70815c92
e04fbe5f 01487966 d0721c7a f05e58a9 35240617 964124b4 b5b3b5fb 908f98e6
5f5fcb96 4bb1f0f6 3a1a1f38 fa0cca53 1ff11b0a 5ce8ae63 bb0c8ae2 7b0fc701
ad84849c c0e86904 c8ad7dd5 9246bf52 17b9423f 3cf6e12a 3359b879 f610f382
a49b26cb 9698e7f3 425fe31c fa6a3de6 55b86abc 222e68aa 83d9caf0 69f637bc
1e0d47df 52cbe2c6 a982ebeb e89e7bc6 5f1cf91c cad9e491 2ea7df09 6bcd2bdb
540638ec 26712490 fcc6cfe4 b0473c15 5e5d6dfe e858c21b b2005c17 6a5e86a0
5fb1cbab b642e22c a495c82b 6370b754 e238c85d cc97a1e0 b339fb25 55c05737
aac3ac1c 6d1de3a1 dcea4124 2b968298 e6efce3f 4932ea69 c6918dfa 5bb43049
b5f1c87a 5eb45b4a bc1c66a5 7dffd703 f6cde6d6 6f7da566 f5f80e54 2c2e3c58
3092ad27 b42b5e65 8868a526 72f2a509 5437e25c f3257cb3 57a91a5d 849fd72d

Initial State = √3

a48a7af7 67372a0d 8baefd76 509e5256 eccd5f63 428372ae 416ecacc 9ef1a561
9c109b45 2dc27848 fe060960 31cfbecb 30426dae 772ecc4d b180aebc 56178dea
33ba4db5 2f2fbecc ba411336 3cf12017 a3d47930 c2de2e82 6ded956f 12e075c0
a6fe2956 021bf79b dc780ecd d019351b 576c0e27 9fda2b1a 15e48e8c ee4db124
ad340e18 0872dd93 d357ca36 c6f190a8 547a6846 0219b6de c7eba716 da32249d
8b17f220 9867733c 324fe7f4 897a447c 79e46291 02398f01 ba4186d3 a030fbb4
8ab5da15 83447a7a 337ad928 1a463619 e057cf4c 7dca2493 5a5ccd3c 2da533e0
1b05a3a8 d83cd95e ac131824 5565da8e e8153786 2811b7ed 8316e9e5 617f730a
b00f836c 364005f7 4025ab57 200ddbe5 f8238122 2637bb9e 6c95014a 95107950
d68fded0 f003047b 8e200f99 3c3c614e 71dbb899 f9fbaadb 06a3307f 499841b2
7c6e9b0d ae250034 1187b50f b8ac37e1 a32cec5d 09c18b85 f0d20565 d5f962a1
e89b60c6 9ffe2639 554df07f 65bb484c 00a0018b 10c30f60 a0859eaa b1aa3ae1
81f088fc cd83de1e 3fd7532a ac6f86d4 48ceb069 ed599a36 341f1334 171b9cb3
6dc9c91a dcaf7205 9af48e92 827536e3 f52fe33d 12b732f6 78a7aaa2 bc0c99c8
4eb61e3f 1265050b 912c6dd4 e8a68823 c4a23881 c67d10e0 94188fe9 027f2898
a6176aba a0eaa959 dc8f0019 11d4ab15 1333ad68 5d058e4d a6aee25f 7968376d
e22a5984 c07cea21 d45b25ed 29c9d896 d30612a2 3a68f3a6 7e97d520 e597d7fd
dc647033 7a456f27 baa6d540 b004e005 181d89ec bf4d5b62 6451a86e ce05ea42
4785092c ad7aab09 f5cee179 6dd4dd68 ba8d4a30 ebbc643f c466cef2 b819ed25
08e47e69 a7cb57de ead38a95 a8109851 c8ab468e 814e0bba 2ba74f35 ce793e99
e46bbb04 b6d95479 1bfbafdf 88bb38e1 7e00ab5c c60c994d c040c371 be274f80
6c481a6d 068d30eb e8673c69 a55a34ea 8895b05e a7902182 13a7c2bd 83cda02e
4611bd65 264c4f1e 41688fab 447bb050 c3da4378 f0ed5a6f b667ad7f 605ccfbc
c872b87f 5a8defc2 bd0de167 85b50238 e1ef4602 19365508 4d2ad227 e251bd13
ef22a56a e4b1de27 a2057626 e143da1f f79b1dde 52ef7cc4 bf462ea2 6adac0db
b6c61387 3bc9b3d1 28ca305b e5d06e79 8410532e bc1b654f ce0eded7 faa4758d
a1776bcc 6b81829f 84154cdc 1e696102 c2d9eb29 dfabcdea ad8373a9 2a369ea5
19219b73 732129c8 f4043d11 38db3c70 b69aaba7 507c3cf4 0db42d33 8d9c1d22
5ac413a4 fabb9c4b 73c59efd dd25ad95 59f42e4a 162d297e 4d91d569 922fe705
356e0207 ba0cbd1a 9ccb532d f9b27960 2478e8f6 458c68f4 af698b28 47052ea6
8dd4d1e6 30049d46 da4ccd6c f812f47b 99dfbf14 079c6dbd 89f2abf4 690cc536
a84e75b7 9f4bd0cb da782b98 b1c1c8a1 6142450a 04886628 e57393e8 9ba936bf

Initial State = √5

d2eb28e0 315b556f 96167afe 6a696921 aaab5b29 40f83bd4 0ae5ad9e a4b6a3ab
0a2bff7b c79d7f4b 546cb02f c754d004 cc7eaf32 8bd94d14 062a739c 41003db5
b9677f9f 397f4409 bb3de85b 71504b1d 600bc574 963a3c7d 0eb7b5ad d216b5f4
3a6ffdd6 2ffe4e85 d596d0fd 2fe83211 45ad138a 1c20dc2e 1345ca5d 5f5040e8
65755cf7 2ba789bd 0713d2b2 7e30e5ac 764b7cd7 21a73523 4ba29ce4 b552386a
68258288 20d4da36 a84e297c dd0a7d15 cb073665 7ba9d5f0 f9c92e82 c2eaee26
3a07e98f 539209db 13a00f51 4338e443 8831929e 0144d461 318483a3 d4aa09ea
d35c9b3d b4192780 25b55a2a f07612da 5a942020 9a91188f 6a510c42 20f401a3
7f12e4f4 b9ef0bd2 7e399788 1ddd0f9c 71434823 cd882e1d fa2f12f4 3cf8aa14
6fdb56f1 e5535709 f8e479ab 0385984c 5b72f788 957f3b7f 206ddb1a a6fa4f5a
d5591e4a 533c71e5 df2cea65 37466836 4461be15 a56794d8 fb474f08 3032cda9
fb4735c4 91e66e14 d531009a a537928a 2603ae0b 404bf0ea 426f5b5b 7810bec5
2392213c 7db4a3e9 6ff56192 875b8787 fccef024 8f4820f9 0a2a91eb 1ad70012
4670fd8d feeb0ee5 9cdc6f0b 26c2e442 e0e0a616 210218b2 a47854a4 25e955d4
14b2b76d 072082ad 61da0df1 4927cec5 b9eaa0b7 15927a5e 9055f953 6f112a6c
4a1680ec 40adc3fd 1e9e3700 df31e9e1 b5974cbf 8687f12f bfe24256 6e84d365
158bb96b b0e4976e 70a78db2 f47cb67f 36e1b0ad c92b11be f63b363b 6163712b
bddec117 39fde016 0d6552bf d41d3bd8 5d5cc76b 16f7da9e b2bec3ad df5646bb
54a5f0fb 33982417 6ebf3a28 ce7f5eb9 89807e06 9c9a3a1d b253a564 2a5b55b3
a950f785 fba41559 9f5dd362 43719c62 abe6a966 48edf639 482af38b b73a66c9
2692c225 1a68559c 9e85585b bc2233c8 3c244875 88059c4e d22b9426 26f1c41d
49fd6ac0 8b89c9e1 39708b6d 37cf3172 9ec15eac 55b68cda 337127ff 0d429d0b
a9d24895 48a14e36 be53cddd f2dd0f23 1bc410bc 9cb0eb62 4106b5f1 e574a4a0
c0fe5e5d 14404ddf d4b19657 48246f44 5dfd41ea 48514af2 dfc80eb7 30fa7da4
6949faf9 98f50f76 0916a2ef 577cb2af 013a6099 d2d23128 9cee869b 8f34ae28
b90fa157 173820ee 397a4322 511d55fa 9a6658cb 012c4ee5 2ea4e6ce 1d0eab32
6d65428e a42c317a 4fa29403 976b2731 5f20e6f1 7b860d64 fc4bec0d b517f2b1
4f5a7c76 7ce77c30 17b075b8 81eed744 e2fc57fc e90f9652 53ca5171 c08f1528
a2f1968d 5848ee1e 1bd43c18 63d5a43f fa793a9c 9f598c09 b422b867 0c9b9aa7
acddc292 cee866b7 b5799495 8acaecb3 d2f8f304 c04e1499 01556b2f f626fb1e
e08d75fe 33ac767f 5191ae1a b64e658b 7f898e81 110c546f 0867b4b3 7b05f03b
778c761f 1a648fb4 17f10ae7 83239320 1c03a596 a0fcdd76 680681cf 1b696a5c

Initial State = √7

ffbe89ff 30adbfe0 d728def0 2d2eef62 b98e9110 fad6b632 c06827be 5516c6fa
dfa0a19e a0d70841 4670c656 689a33c7 25475163 bb458d29 3f220c18 79a9df3e
1571cd9b 79727c3b f0cad92c 8f43dc7b 42520198 1fb2b68c 00254d08 1e3e7ebf
eec7c3b3 d23f66cb a808621f a0d408fe c7b8c590 2e060825 95cf03c1 3f88e52f
10a1ff8d ab2b5ad6 c6622bab b5295e73 eb749450 6c3a134d 4ea86dce 5d3dec46
a2fdf215 281c0829 2c2d4cdd 84076539 93b442e8 1d514518 badbeffe fd173217
1a852bd9 115a020f c8be3214 028f8930 c7d77928 b0096b43 a265ca1c b0eff719
6762cbd5 cc49ab90 9e904560 5ba4cc30 0a649f20 ce52b0fe 081242d5 494a72ee
c35fdd44 29e668a2 6c10fc54 474bbaa9 8d152c9e 2b5e374e 3b86e0df 0dae1b79
c4344fb8 0910d9bd b50f706a 2dd5e3bf adb15e50 ccddf1e1 2a118c78 9751ba0f
193dbb2e 6c7c1b6d bbef2921 3d2b6502 b2585661 2948e9a1 12947b2d 718b9e7b
2e05270b 8cd27246 be8deee0 a5d83ba4 e319c76f d1f5176b 7f8c4951 63eb0ac7
b163a9d4 f4d90b56 7bce8b99 4d44621c 7544b01c c8ccdfd1 f5f3c45c c1a4064b
4f8d3454 b736a4bf 0583983c 569b02be 14dfb343 7735f9af c89f6715 4a5b7209
c98f630f 050c0041 f60085fb b3578862 9a92acf6 974357ea 596240ae 83712d19
58765476 a984058b ffd85ec5 9f2b853e 32ed6734 f4616d5d 5b12ec45 049203b2
e8c947a2 790f9750 a56c284b b6b66296 7d41a540 8bc12571 7da4d478 ad1bb6ae
5dba3aaa 4638a9e6 e54f9977 5d825c1d 164bf7a7 810f8805 58b45629 a4dd067b
fe3d44a1 6caed2b6 66eb184b 5074b117 cb81b576 50825622 aa53ebe9 ed5c346d
ade36782 96914cf3 beade147 2613fdcf c6806717 adb50c4d 78837cbc d3acb78d
3f1d8076 27ea8130 1a41ef3b eb9e2d27 6541896a 6b4ec55b 35649dab ef50fcf9
9fa5a977 6366c414 2ebf0750 6438f25e be9c4fd6 f4594e8e be341d8a 8e5e7457
fe3ad26d a173f5d5 6ea1d65e 2b7a6c25 ea965164 47c2c2f5 0fe46bb7 0cdbf667
34f41df3 f7cda6ee f6b36701 b882efd8 485e0859 0677e927 102c7532 4c1c4bac
de2a7db8 adf58cc3 7b0f0a95 c6681b0c d7bf8fc5 39cbba8c a3dc4288 0e053f06
92bad9f3 ceb82f22 6c6d00ff 5994ac88 31eb8c91 b0074508 1d868a68 07560483
67219072 15fdf303 ca177c62 bdb7ca62 7e8c0853 966a5795 9b6fa366 74583210
9d77128e 48444381 226d0001 b981373d 0639e7b5 7fcd539c 0325b2af 2a5ea7b3
0e2b8ccf 240efe8a 70f361fa 9b5e36df 89a42c1a 79baed24 c971d42d fa16bac1
625c9655 6fb7b0f5 d105c2c7 784967da 23788abd f0b9b1a6 76295919 c9d95c27
f75a107c 07f2ec3c 214d1349 046a6ae5 26087caf e878c589 079d8f30 b5d9349b
1bb6c0d3 a07a5642 f2e70add 30233cdf 4accf600 d707224d 2d553350 fef3dbfb

Initial State = √11

3284a582 1d1e082c 4d73c19d 97ebdf62 978b5401 68ea1e66 18a062e8 53110448
2877b3e1 f20e13bc 525c1e5f d7f5c593 1b7b1eda e76b2640 27b330d4 b211f731
788428f9 a57f6515 bba9ce1f c065c724 50f3f3d5 abb3381b 47b2f9c9 8e5e6520
beeda124 44eefb2c d2c90020 5e45c4d2 75383f48 420d1411 c86f5276 e38aae34
667fde09 3f6bb989 2cb5aa58 f23b03df d51acf92 aae8d873 58e10d83 93a73a7a
322ef039 bf84d41c cf8aba08 6f1469d6 cc97a868 58871c08 46519ffd b1d0b5ec
631893de bff3d5e4 6c24e1c1 666bfafc 8d5a07ef 968873bb 0a33869a 08aa90cc
80125bdc 0726378b 66e32184 70ded7ef 96c5d95c 2143241a 5d2c21bc 4a79feef
efa6b394 3d792510 ed3b4901 c039cfaa 8e12e593 cdce9f33 f5f7ae5e bbfabbe2
3ea1bae4 13b2c9e1 4d39aa9d 7ff2f2ff 714ef290 588ece0d b25a7c11 18b5ae85
13ff1fff f4a93525 2ad6495e cc1bb58d 07ff3869 e85d74a6 b6ce5506 89d416e1
543c8586 421dd6d2 162dd5a6 af7b899f 4c4221cc 06b50fed 0c18bce7 610a1710
fb512ea6 87760308 1b6beba8 a72c8c2c 4d91bac2 c6c5e3d2 2520ef69 f490b818
aff99098 021f7808 8b938df3 8ceeacc4 92811903 2107ae9d 9a46f1ec 82bda3ac
2bf30781 8d58498c e956aab2 cba0ca60 a97d45d6 c1a4085f 3d703a80 28b31ea3
ba83f24e 67df9af1 4606e835 805cd82a 0e80b3ff a2a70ac0 71a38298 ade66708
91721ce9 17440a5f 7412678a ad0926b6 f588c709 4b5567bc fb1cfc5f 3aef82bf
e03cabfa 4f1b1a8e 1e858f47 8ff07fd9 2b17db1f 26a8f00a a78fb41e d1f148a8
e8964558 12487602 0400459b e365cf31 f0d9bd92 07edc36a 58e1b433 19c438e6
8f057256 58eda189 7671b3b0 c6ade149 69419696 ef7ddb9b 93b5098f f0f54c86
69aa0126 44bef34f 8528b1b9 d82f7d27 08c2e357 32bc5297 67f9ed10 e9de007a
cd502ec6 35faae71 98da9bae fd15c3e6 cea405f7 ad063e5b 5e9e92e5 f35af9f5
b77d47de abcddabc 2213c428 f663ea75 cb56bfd4 c7f514d6 e7ad237c 168c99d9
64690e1e 09112cf5 48f7f36f 8ad81367 e6f8bcd9 3de69d5d 2b527032 3b80d759
a03eff73 2079f224 642a1de2 c896cb6d 60f2ac4f caf565cb bffae3a7 b6563d63
ff68fd31 e9d2952d 4f4faf9f b479efd8 a0b765a2 09e9eec0 b5b3bf63 4fe04d2d
346a6c71 a8d7e2c6 d1f9c124 68ac51a7 639fd432 ff4887b6 71571951 c1310e75
203b04fb c37a6ed1 ec136717 fedaa85d e0d8a55f c7116be2 a214868b c826501c
6fe22cd6 5c8cc0ea ef99ea56 def0d41c 2efc5307 7797f4a5 6bcedbba 640ad42d
16f35128 782b522c 1ed3c114 c68be497 b0d691c3 372741ae 0202b0f4 3fc126a0
42ae8828 56dfa65e 3f538baf 947a87dc bcc4be3d e2eec43d 57b7b6ce 76f1e2cd
e13cf9f6 a0607c9e 4c0abb5a 36882db0 3006f546 dc28638a 90eb4699 4a777ca8

Initial State = 1 / √2

3cac51de 12428292 0d5efbfa a5a66663 3c03991a eafd2a87 51dd9e44 3a8f5fcd
3c7c1cc3 fc355811 d0aece90 5b2069f0 61cc1b67 76eed9f8 f1f2ba44 182e37df
1ccd2ddb ac8a2f52 9ed50d62 77486946 a7560f8d 17b94c11 0820d8bd 0da69175
fdffc212 572e09a5 f8b13698 d675d496 44a15c18 5e66d674 9c9f49b7 d1264498
bbe15074 607e1ade 7d7299a9 86ea0dc6 8bede399 a7f62581 daa10cb5 8ae225c9
f5eadccc bc26e032 13942d41 314de3f5 1a08a19c 56de6e5c 11007c75 23474f7c
d686d3fb 595d213e cfc3c9e7 af7ea16c 1da2b4ac a4e4f9e0 69c3ccaf 713f5f26
0018f941 5206ff6b fddd9e49 601b0523 3582424e e81f7232 0644294c aa775366
d156d014 7b5ae534 497dd0cd 5448a72d fc957ced 0109183b 3795a5b8 69a238b4
362e851b 4efe97ce f90ff79f acc0599a 341cb724 c9bb2e36 74c60340 665c7625
91f922ca 6cf8a444 3a162291 7c237afc 8acd974a 325d27a1 f239925e 4be3b6df
b25b352a fae0cacc 58924d94 8c7ab84e 0840cc08 ec896d60 d1828226 896ccab2
1e8a5ad5 83c0bf0b a55c7a80 22b748f7 2f556714 0705bdcd 08b21afb 45a857d7
9ef2b1af f6dec93e b083340c 3464798b 6731c020 69172254 5bbbb0e0 40ce92cf
a118dd85 53183056 498c684d 69cda5e6 6b50c9f6 32a20ef2 b744bd73 cc4d52e2
62a84eb1 c4bd08e8 556921f1 16adfb8f b798fe89 cf906845 bcc74115 8db734a5
7a3b86ee 2b25484e f02383cb 466fb2ce 2c1e2083 81640077 289dcf47 c9d2053e
ea81aa17 730d1cb6 d5c970e4 cc38acc7 e611abb1 50d62ec8 af9ede35 17922d8c
40b02cd0 5663e17d 65d137f3 983a5cd9 cb293827 2359891b 16cf49c5 198de940
1d14868c 84a02f3b abd91a28 781c63a5 21797782 b34203d1 59938a5a 66e5e141
19af8228 2d2e7bd4 f1e72a0c d9a507ea 9e3189d1 214e2f61 5b7636f3 ab1faed5
a14aac27 0f66d725 0b42d063 c05fcafa 891d947f 61da88b4 c2f81363 7c9fc35e
ffcb2aba b8f46fb4 afad5332 03a5fced db8bee4a 97b1d930 aab0456e 88657b47
45a9da22 9a858fdf 4dbb59c0 7b9c7656 f9d260bf 02277a44 6fcc23ff 6fcddc1b
9f53bedd de37c7c0 d46176f8 7eb85e2b fd9ab280 1f81f815 f615f240 bbe292fa
ddcc576d 53bcdb84 e3f32e1f bc1102f2 8ec67398 3b8f578c 87534e0a 7a2bf39c
944e42b4 046b7f75 67fac30b 55e09a9b f9b1c69e 0489b265 de8ff2b8 b5f42f8d
e30ccef9 f6fa5351 d926e451 f992133b 3d1b74ba d2e10475 2010ef53 00e6ed5b
5d880d84 f51e5d46 c38a27b9 08a93d16 16798f46 fed94c71 f7a5489b 7bee3f6e
96efaa86 f46884b7 a2bd3e5d 2d25bb64 3a5a1eda b0ece05e 89ea8b2e 72b5a1ed
9d7ce94e 4f72d09d 3606a962 5625e2c9 36ad9f73 8c075715 dd6ce6a7 c59412dc
ce72b6b1 1d6a41cd cb331e0d 417f7557 ddcab878 9006cdb9 9d8b4262 10ff4a58

Initial State = 1 / √3

b485dad5 cdb10a95 c6d84302 1b911ce2 d53e5751 31f6e2e9 d5d4b501 101817d2
58d6ec3f 7d9b372c 2a5cef35 833ef06c db72016a e425eced 6707776b f0d3a98e
c7940c8a 8aec2703 55e4a849 33536730 818f6cec 34084f26 edb4a7fa 8d12c883
7a33a3a0 8735392c 7d1a5888 64a0989f 40821c18 aeac881a b3d333b6 b4e440e2
d8929837 467f7568 54fcee8d cd5b028b 816f8c02 9bf8b65b 5075b294 209bbd6d
a7630cd1 81f430e4 c372bf1a a7baa0d1 c6bf1f93 289b997d e56c68c4 fb4d98c7
86218b21 6bbb2606 f7da2dd8 4f9a7a46 9dbc2825 79726d59 ff1da808 262e8a42
c5f83935 59746e6a 435c3700 d713df44 5ca4acaa d6ccb45a c97915db 27ac464e
12dd8dca 44af6f20 bab30601 22e8c79e a290dccc 62724490 966e8fed 6285e42b
8c5b1ce9 1d30653a bbb89b65 b2583fd8 022f9313 622ff7ec 3d5e2b62 fe0d09bb
e909bf54 77346973 15415996 e6a2da1e cb409ce6 64f65196 79a57f9f 46444ad2
2022b172 67e4cbd4 04163716 274d348f fc6e1d82 2a9ece93 bf9cab55 fd1548d5
fe72c57a 7dfbb5cf b5f02889 74478525 fefe4f4b 464f4296 0d25c439 9e559715
c85c0629 fab8202c 1897a373 87a1f1c4 50047d8e 27767114 59c8a3b7 5f458278
ef53aab7 4116093b 9391e64e 5d1230ec b13e2b8a 2f91739c a0724cdc ac8d8f01
3cd92d6f 5ba63c9d 0a254e69 5c4874ea 9fa5347f 3fab6fca 5c17b5be 9313d7ba
0408504e 8df1f664 c394da3b 080be280 880217f9 ebc4f5c9 187edf4d ab02a35a
a896bfa5 09434f32 bb5c4e8c f253d998 5eb126cb 304d7578 4da56a49 6590e19b
2794799e 37e7eceb 157b9444 8137e6bd d0d3aa75 53ccf218 c1f9c41d 47da5027
2bc1e39b fa21df64 62d6ba86 d4ee3c6c b2a9fff0 81c7a204 38fba72a 796bf62d
00f74c0b b6a45bb4 200ed896 e501c585 92879dcb 79e4c063 e8c0c405 28cc4f8c
87b4a051 3cca9341 ae02d6e1 1a9c6a06 b4ef3053 ddf1be1b b910914b fc8e8e0f
6b085093 9c97cb76 18481811 1e289d7e c671bc28 e5a62dcf 21deea86 15f4d476
6cad4868 4cc43ccb a6dbd160 af9abb2c dc16a183 f747f2bf 96c2f6e0 2ad23079
e96bd5d2 53a70c4e b34adec5 b07104fc 964ad1bd 47b2289f bc93bc86 b6261c58
09211ada d42f6125 e2d5c566 91536905 64335824 97a8732a 10f277bc fb3d5114
92ed2a1b 8ee4d9ee 9606746e 399b3852 049a299b 56e7142a 87f052e4 4a1e4a2e
ee8cc812 b8ab44e6 daf8cf1f 1fd6f305 f0b81af0 0ae75605 f15ab725 300b9f4f
2ba3a0e9 a3b5ffd5 929a7a3b 26e0e607 07083e15 83402e4a 70eb431c 401e78e8
b677e4b0 fc629203 d4103a22 bfd7af45 42dfb5bb abc7af55 5014fa50 a3cfc171
365e32fc 569afe3f e76d26bf 6fed1000 2c271340 5ca160fa 5a973e07 b1f574af
46be464b cf94c024 eeec03ec f6fec93e 710d6e04 833451ff 7d7ce1c9 b6af209c

Initial State = 1 / √5

74bbd2f4 78c0b93e 6458ad5d 0b6d787b a2a0ae9a 78b453d7 ea7d336f 79851445
5376c431 ed553997 f5195d4f 5ecedc21 94547555 72425c17 ed2b5a8d f07f92c7
ef106c1b a0298115 6d9e57ea 3ac8fde3 60f751a2 76110630 40942132 35029147
0746705e e37f22b8 12b628b7 281d65b9 4be7ad07 e2927177 1e531b89 5f54e469
a09e7b9b 1d98c4ba ef174488 6733ee68 c0f10ef7 7e705251 89446b90 54f01260
a564361e d530dcac becf55d1 c759f20d e096e46a a0219048 4539fb58 90b44ff7
b4bf3763 3fc1c63c d6c3819f e0a0117e 07171b09 77e05171 5e02ede8 39c8a1f1
84234bbf 58513224 ce3e20ea 80af09c3 b76ebdf5 fd37288a 8723ca86 bc7fb06e
fe1be22e 21a7ad81 9bfe7d16 90948615 7eb930c7 511537d8 bc30118e 9cbe5ab5
74e72f3b dd328e39 6ade4275 bddacdcb 4ba59a57 05f7b381 dcd2549b c17ecc7a
21d9b3f9 0c17d7bc 2f0a7d9b 48ad606f ef855275 93e79deb baa33514 42662878
a36c6486 4f0f454f 11f4ddb0 4088b267 14eed3a4 568565a1 55df5265 d2148aeb
df04e282 03f393c4 6a0af0b6 73f61d7a a23b650e 9c3ff20a 9b823676 049a176e
15e88911 e9a1f6de 3f789436 8ab0e566 f4d92d93 7f0f6f5b 8c23898f 156065c2
eb182dcb 88a23714 598f6d7c 807db2c1 5ea04b9b 91cfa54c dbce7fbe 6a36fc37
e064882d 5656c115 6da763f1 4942eb98 5ec3d419 dbf64ba3 cf1b2ff5 78a2c670
23ad18ca bc77d5f2 2e1ae111 7b0ac3c7 f043a3ab b67bcb53 809cf4be 04bc3f48
6f33e8be 04f2309b 94b745fb 30d25a29 ec97bf27 e2a810c4 362fb314 8794185a
2b113118 2f6c4698 430374dc ffeb8509 03e976db 55f603ac 00b85a34 e64ce46c
7992970b cf77fc0e ae7cb2bc a10f323a b2f2eb17 52060dbd 4105280a a79e328c
0ea3f82b 9e6ee272 c2f9e5c1 49cc27fb dbe9f790 023543c8 e6e47629 2dfd7fbb
bd13c4a6 aac5dd67 ec225ed5 5bc3b2bf d22879bd ba36e4e0 9c48f877 6dce1030
70eae24d 14fc0e52 9a50ba5d 7fb7f2ad fe57937a a52331e1 ab1a51e8 57e2a6bc
8e17ddc8 5f10b050 20e8b493 b442c7d0 20c1fd53 c39a4baa 9ec9e74c acdb7c28
bc6cc86e 3f1bbd24 4e4a12a7 c772fcf6 ea780e6c 6961d792 e4757e40 59e067cb
52be4dcf b3df54b3 25b89ddf b65445dc 7a479ebf f9f774b6 3b3fd9fd 8b537326
4759d411 f3319c65 e0330630 99412ca8 74af9b11 f67a17b7 1cf3cd9a 3082ef88
3af931dd 6bf9471b 289d9505 9927cbaf 5d1351a2 feda00b0 88334b34 7c718785
19224c7a 105c6915 68671a93 29557b10 e1780d8d 61537850 d7198ee7 53874449
18d42467 dcafb140 27815cd6 05d5babc d90614f6 c9bc0608 4462e425 cebae1ab
20ad5579 f4cd4333 51459f55 5bdc65bc 466a297e 3eb93565 2893114b 1dba0508
a691dfc1 6fefcdae 639e77fd 0f4b3a8f 80d3420d 811ae9c1 6fbcb54a 6e16fd81

Initial State = 1 / √7

b3e65e81 1667b2d7 70a2a185 362d7583 2908dd5c 04174563 d0410996 8fa2c579
62a1aa78 d832aede 06efe6ea 2d28894d 77193330 c21e0d27 e0376df1 b88cd0dc
f2656303 5f5dea4f 61dbcc32 b8e68a01 51768fea 9ad4b357 d941f213 cbd6e438
92a67077 cec69d86 d3071b60 8f025c41 bcf0e491 4e3834b1 227fbfa8 f99209b2
f653ff49 06232ec5 5d16f841 4586b54e bda879ac 3a9ab998 f0839330 abdc75dc
fde49362 19d127c4 b7fb9ce5 c8c2d811 a6562633 517c86e7 0650e123 eda24c07
a1e86dee d84975c9 53b33eb5 bbf02fb4 757e16cd 64155c00 4b833d67 adf881a3
2fdb8703 42cee545 bd164f50 a5a73b00 7663b34e 10f67864 06120dd1 1b874072
822fdede 6061dbe2 3ec4a4ba b8004bd6 1411324c 2c30cea7 f821b170 9bdd6a35
56bc2d4d d2b0109e f40ddd93 35e56f21 bc26d3f5 67970c08 effc6e5e 52756a5c
bb37f8b6 a33edc43 ca4816fd f3c8d30b 3f409a51 f540e3b8 20e5d686 1d0649d9
8cec3455 688ed8b1 3a818073 1d3d13b6 06f56412 c9364896 0fda0c7c faad08ff
bf208aa2 905344c6 301ca78f de3cc385 6c04948c 9756cbe7 8dfaae31 0b8b37df
8f7a1c98 b37e09b5 06a86ab8 c9debed7 8b3043d6 53386333 0bba3099 f7c50934
bb345c05 8dce071a 2a94592a e3d10d0b 0b4d0304 8d5cf30f f22bf685 9da8c171
d095ede1 d69f62ba 1df4eb7c edc863f7 c35cec37 cec31ba3 7d756c48 151cffd3
25d080a6 18b0843d 299b8eec e521b221 319e2abd 6148cb64 75f8b364 31124df9
7e5559c0 2a4b7902 0046d7c1 37d1d9e8 c7883334 c2acc928 54297c04 b8621ad7
e45b5b81 2dbd4fc1 b26283c4 862daf95 3bbcc587 c55f7927 d72d94ac d0aae33a
e4f66196 95d83388 d6a75a6a c839557d a4eb02cb ab05f6d7 791f2685 99df03eb
ed61921a bdbcac07 cb896f42 4fc1fda0 bd9d7e8c 47c3f99f 51518cec 22c142dd
57c01578 21d749db ad34ddb6 d3116271 54af7212 db1f471f 1b677010 511e3a49
87ccddf8 42f3f38a 108fe6a2 d2fe871b 7943597e 0163fbbf 03f38867 f504c9e4
c07f7ceb 90a9f1a5 b2256049 f80d66ce 1e642b0c 5d7ee14e e292a79e c34ea9ed
7085dc48 37b217f6 e31871b3 a1b61fb3 44c1985b 6583a441 c09a70f2 9a54e935
142295db 4f1b272d 95da254c d740550f 8ca90fc2 8e3a7439 9af285a8 26b480ce
8c1ba4e8 ac80add7 817fbd1e 1b40f72a 802af950 182a981b b6697c4e 46a16928
e776fc4e 72fb68bb 03178a40 85977a9a 66757f0b 5245f052 4594cb37 030716b3
63f0eaa3 c7004d9e 98a96aa0 be2faa7c 77852e1e fe4e59c2 0a56a821 4190de11
aa01e644 c8509150 32c1e436 028cfb87 d50dc1cc edd65650 5afc1dc1 a3085921
9348bcf3 534690dd b69f00fa ffd1a1d0 679ddcc2 7c908da1 a7284e70 4cc35c92
bdc04071 364ef633 a8e5573c 51d49d88 2971f114 9bb47f01 950426de d4039671

Initial State = 1 / √11

41869cd2 d84fd0ac c916a475 9ba16caf 67f31fbb e5db3672 dba8df0f 884911b8
0c165878 0d1b8e97 5e3c03a1 50f9615d 1194ed6c ac4e0cdc 7a5e6157 6d71375f
d433faca edb895d7 de1f5915 f3f81f37 277298cc c3235679 db42d936 5e065df8
8739a485 3d2a6ac4 d7ac1132 8ee0f3c4 155b13cf 03773d41 6f7696df 36ff0251
3c6ca98f dd7706e3 3d5fd0dc 128113f6 b82841ed 04800e0b fd580ca5 7aaf2863
33ed7c9f 7cc1213e 27a46657 cd3bd77a 1f72786c b34e81b6 d417eb00 9d27271a
a9cb7959 d031c315 8edece22 74566450 a733c870 f2377b67 2d055a1f 02eda34d
dccd75b7 b6176df8 70fadb80 77e111e1 1ff39178 345dc8d8 966e15ad 6e424ecc
eab045e8 11333f11 8f544bcf 29ac78c3 30e1a4c7 0fb8be01 45794a32 a9cc90b5
f71be0a8 cb2ba635 8009921b 53b1cf1c 3592e343 28c4d344 5e29cdea f4e838ff
a6e65512 004c77b8 7583b0f9 4fe30341 b661f0f3 11efab3d 4af9c1e4 4e5ff752
aaeee4e6 f8c2b6bd 74f3eb97 44819868 e29ae2fc f9ca5644 b189fb77 3dd1e8f5
81be5b4e 423e0343 3a877c26 6881ec24 9a52c18b cf67304e 6c5c51ca 00222776
4840f04a b1014d44 ef329842 056c364b 8566f31b ea38f55a 71e34fb8 20079b74
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