Equation 677 Database

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Size 95

178 isomorphism classes.

magma d671328c of size 95 magma b85efa92 of size 95 magma 9501b2ad of size 95 magma 4f88670d of size 95 magma 6de1167d of size 95 magma 67934624 of size 95 magma 98f30e0c of size 95 magma 2b16b187 of size 95 magma 43f0c362 of size 95 magma 91bcf057 of size 95 magma e1ee09af of size 95 magma ab3089a9 of size 95 magma 090c9a3f of size 95 magma 2a211deb of size 95 magma 23118e05 of size 95 magma 2e831206 of size 95 magma c96c1f06 of size 95 magma 33fc1460 of size 95 magma a592b73b of size 95 magma 4831036b of size 95 magma 1ebd82c0 of size 95 magma 510b34f9 of size 95 magma f86d89a3 of size 95 magma 43fb70dd of size 95 magma d1a84f90 of size 95 magma 0e23c1c3 of size 95 magma d14e435d of size 95 magma 86b36e5e of size 95 magma 5bd42664 of size 95 magma e306e8a5 of size 95 magma 6ebc4e99 of size 95 magma 20b1cce7 of size 95 magma b95c9161 of size 95 magma ae5a29af of size 95 magma d9195575 of size 95 magma 2a50a45e of size 95 magma 00bd2694 of size 95 magma 262be896 of size 95 magma ddf02e5c of size 95 magma d5cc0845 of size 95 magma 4a5649c0 of size 95 magma ab5a49c4 of size 95 magma 8f5b9a25 of size 95 magma 7dbb390e of size 95 magma 72159374 of size 95 magma 258b578b of size 95 magma 24ef6d7b of size 95 magma 2b87b2f7 of size 95 magma 3737669d of size 95 magma 65ca4a34 of size 95 magma ca5e47bd of size 95 magma f1fb0f0c of size 95 magma ad1c9e1b of size 95 magma 32139fb4 of size 95 magma 4e5663d2 of size 95 magma 47a7004e of size 95 magma ab255f56 of size 95 magma 0d229828 of size 95 magma 3f002461 of size 95 magma d673b76c of size 95 magma 3d5053a6 of size 95 magma 6dc5bb26 of size 95 magma c60f2b36 of size 95 magma 41b33675 of size 95 magma 60a1631c of size 95 magma 7be3b022 of size 95 magma c9431038 of size 95 magma 9ae98229 of size 95 magma cfdd336c of size 95 magma 4fc531f2 of size 95 magma 2055c29b of size 95 magma b7015dd1 of size 95 magma b97e7cb0 of size 95 magma 7a3de389 of size 95 magma 6adf7186 of size 95 magma 6b81bc86 of size 95 magma 31b2dee0 of size 95 magma 21321d1c of size 95 magma 03aad40c of size 95 magma 648eb473 of size 95 magma a5656725 of size 95 magma f79c8a38 of size 95 magma e9b560bb of size 95 magma 3c07ffb8 of size 95 magma 742e48ee of size 95 magma ea1a36c6 of size 95 magma 261edbe1 of size 95 magma fb883d8e of size 95 magma 75d384d3 of size 95 magma 14cf02b9 of size 95 magma c59c8e5c of size 95 magma 979af25e of size 95 magma 42868235 of size 95 magma 6d0da7ad of size 95 magma 87704572 of size 95 magma 96487e74 of size 95 magma d342a89b of size 95 magma 5a3094fc of size 95 magma 24e455bc of size 95 magma 98520742 of size 95 magma 5d46fd18 of size 95 magma 50384af7 of size 95 magma 08239f3b of size 95 magma 017ba85b of size 95 magma b0521d47 of size 95 magma 93324ef5 of size 95 magma 33f98f62 of size 95 magma 8b0de48e of size 95 magma fb2490e1 of size 95 magma a3f325d1 of size 95 magma 42902ea0 of size 95 magma f07132d1 of size 95 magma 0a4da9ea of size 95 magma e40ccce5 of size 95 magma 2e2f756a of size 95 magma 0df8b6c0 of size 95 magma f5f9fc02 of size 95 magma 88bc36b3 of size 95 magma ff44166e of size 95 magma 7f1c5df0 of size 95 magma 308fd996 of size 95 magma 6c2d3a00 of size 95 magma 59766a31 of size 95 magma f2486a11 of size 95 magma 3ff6d35f of size 95 magma d2c9f8cf of size 95 magma ecbe3ae3 of size 95 magma 705823bf of size 95 magma 87871e65 of size 95 magma c2d30d5c of size 95 magma 7caf6654 of size 95 magma 4e693b41 of size 95 magma 4894d1e0 of size 95 magma 8932eb88 of size 95 magma 85a13c5a of size 95 magma 5f48fe97 of size 95 magma 85e92bef of size 95 magma 444d7dd9 of size 95 magma 7aa1d3bc of size 95 magma 1fe368d7 of size 95 magma bd87ad2b of size 95 magma 03548419 of size 95 magma 68cf2cfc of size 95 magma 31f50cb4 of size 95 magma 636b9b7d of size 95 magma 39883289 of size 95 magma 28eac71d of size 95 magma 4a577c8f of size 95 magma 82a35c78 of size 95 magma b16e2c9f of size 95 magma d478f37a of size 95 magma 34667c38 of size 95 magma 9398a4e3 of size 95 magma a44aaccc of size 95 magma 02ab2bc9 of size 95 magma 91251cd9 of size 95 magma 03c0ed76 of size 95 magma c0a5ff49 of size 95 magma 4911ad14 of size 95 magma bd40b625 of size 95 magma 1da8742e of size 95 magma c5bc34c5 of size 95 magma 7d08b7ab of size 95 magma 35677740 of size 95 magma 2996cdcf of size 95 magma ab31eb59 of size 95 magma 3be17283 of size 95 magma 3c9acc41 of size 95 magma e8c4a686 of size 95 magma c0396324 of size 95 magma a6f23f6e of size 95 magma d1a01bd9 of size 95 magma 96ec20be of size 95 magma e18a17a0 of size 95 magma 5251c024 of size 95 magma 5becf3d7 of size 95 magma 0a9d5309 of size 95 magma acbf1c37 of size 95

Commentary

Permutation-twisted 5x19 fibre bundles (size 95 = 5 x 19). These size-95 magmas (~150 submitted by me in June 2026) are the F_5 x F_19 analogue of the size-65 family (see the size-65 page comment) and of the size-35 switched fibre product magma#ed4c392b. Coordinates (i,u), i in F_5, u in F_19. The 5-class congruence quotient is the F_5 affine magma magma#e549b5f8 (i*j = 2i+4j); the 19-element fibres carry an F_19 affine eq677 law (u*v = 7u+3v, or 7u+4v). The operation is (i,u)*(j,v) = (2i+4j, a u + b v) if i=j (i,u)*(j,v) = (2i+4j, p^-1(a p(u)+b p(v))) if i!=j where p is a fixed but arbitrary permutation of the F_19 FIBRE (a bijection of the 19 fibre values, an element of S_19) and (a,b) is one of the F_19 affine laws above. Every such permutation p gives a valid Latin eq677+eq255 magma. This is proven exhaustively only for the F_7 fibre (all 5040 permutations); for F_19 it rests on thousands of random permutations all passing, not an exhaustive check. A non-affine p yields a new isomorphism class, so the family is effectively unbounded (150 random permutations gave 150 distinct, all new). Right-cancellative, non-idempotent. Worked example: magma#5bd42664. [text written by Claude]

last edited by dwrensha at 2026-06-17 12:17:35 · history