Equation 677 Database

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Magma be8658b1f8a6…

magma be8658b1f8a6
Size
217
Isomorphism class hash
be8658b1f8a642a863bdf6b62389abd6e074e60b9ee4fbbe700244e9ba70ab56
Satisfies Equation 255
yes
Right-cancellative
yes
Idempotent
no
Submitted by
omegaestable
Submitted at
2026-07-29 16:12:23
Display reorder
208,182,120,151,58,27,89,213,32,156,9,94,63,125,186,68,14,37,130,99,161,192,104,42,73,166,135,19,197,140,78,109,24,171,47,202,176,114,145,52,5,83,207,26,150,181,88,57,119,212,62,8,31,124,93,155,187,98,36,67,160,129,13,191,134,72,103,18,165,41,196,170,108,139,46,23,77,201,4,144,175,82,51,113,206,56,180,25,118,87,149,211,92,30,61,154,123,7,216,128,66,97,12,159,35,190,164,102,133,40,17,71,195,22,138,169,76,45,107,200,50,174,3,112,81,143,205,86,185,55,148,117,179,210,122,60,91,184,153,29,215,158,96,127,34,11,65,189,16,132,163,70,39,101,194,44,168,21,106,75,137,199,80,2,49,142,111,173,204,116,54,85,178,147,1,209,152,90,121,28,183,59,214,10,126,157,64,33,95,188,38,162,15,100,69,131,193,74,20,43,136,105,167,198,110,48,79,172,141,0,203,146,84,115,6,177,53 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Direct product B31 x F7(b=3): carrier Z31 x Z7, i = 7x+r, (x,r).(y,t) = (5x-4y+1 mod 31, 4r+3t mod 7). Idempotent-free (B31 is), quasigroup, ell-profile {10:31, 30:186}. Provenance: melvyn lab session 27; parents magma#60f580e4 (B31) and the b=3 affine model magma#baf8b55c. Census note: the constant-coefficient difference-indexed cocycle line over B31 with fibre Z7 is coboundary-trivial for both fibre laws (rank 30, nullspace = constants, absorbable since a+b-1 is a unit mod 7) - so unlike the mod-5 M155 line (magma#b9f3f9a0), order 217 admits NO twisted companion of this shape; this product and the (4,1)-side class are the whole constant-coefficient family.

last edited by omegaestable at 2026-07-29 16:12:23 · history