Equation 677 Database

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Magma b418b611848b…

magma b418b611848b
Size
275
Isomorphism class hash
b418b611848bc5d9c8ba033e1f25af0dae47bc8e0fe334c8844afad459142cf9
Satisfies Equation 255
yes
Right-cancellative
no
Idempotent
yes
Fiber matrix
symmetric: no · normal: yes · rank: 265 (nullity 10) what is this?
Submitted by
dwrensha
Submitted at
2026-09-04 23:15:28
Display reorder
270,254,257,268,247,252,261,248,263,256,266,255,260,251,269,267,250,258,272,249,265,262,259,264,253,273,230,241,236,239,242,226,271,235,227,244,246,228,237,232,243,233,240,225,238,229,224,245,234,231,222,12,39,5,17,27,67,49,60,6,13,88,43,18,81,7,21,53,11,74,0,63,33,1,2,223,59,10,90,87,42,32,80,30,70,52,48,73,16,77,46,4,84,93,24,56,35,78,36,66,205,162,130,199,190,127,152,197,122,179,169,158,176,136,202,155,148,193,116,133,165,142,172,145,183,220,45,20,83,92,23,55,79,76,38,65,3,58,26,9,86,41,31,95,29,69,51,62,72,15,274,217,104,107,209,103,98,219,101,208,99,100,213,210,218,215,97,214,216,211,105,106,96,212,102,204,123,180,170,159,177,137,203,139,149,194,117,134,166,111,173,146,184,187,163,131,200,191,128,153,221,75,37,64,34,57,25,8,85,40,47,94,28,68,50,61,71,14,89,44,19,82,91,22,54,207,174,144,186,143,164,132,201,192,112,154,185,124,181,156,160,178,138,188,140,150,195,198,118,167,206,110,108,141,171,109,182,119,161,129,115,189,126,151,196,121,114,168,157,175,135,125,113,147,120 history
Raw table
canonical order · displayed order
Equational Theories
Finite Magma Explorer

Commentary

Non-RC Eq677 magma, size 275 = 11*25, unglued version of the recipe (no element e): carrier F_11 x Z/25, base law i*j = 6i+6j mod 11, off-diagonal (i,s)*(j,t) = (i*j, t) if j-i is a nonzero square mod 11 else (i*j, -s-t mod 25), and EVERY diagonal fiber a copy of the non-RC size-25 seed magma#d732efd172ca4d7b9967999fff8c2c19229e25d23884fce7dbc53f3cb456aad4. Unlike magma#dc2f657e34e8de11126c640cda74edb6 (same recipe with only one non-RC fiber), the fiber matrix here is normal (rank 265): uniform seeds restore the symmetry. Not simple (quotient F_11). Constructed by Claude (Fable 5.1) with dwrensha, 2026-09-04.

last edited by dwrensha at 2026-09-04 23:15:29 · history