Home.
Below appear the fully associative ternary quasigroups for C ≤ 5.
| 1:0 | identities:
aa_,
a_a,
_aa
| | skews
| all
invertible
|
| aaa=a
| c'ty full — a'ty full — self-d'ty full — m'ty true
| a♦1=a
| a♦2=a | a♦3=a
|
| 2:0 | identities:
aa_,
a_a,
_aa,
bb_,
b_b,
_bb
| | skews
|
|---|
| aaa=a | aab=b
| aba=b | abb=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a
| bba=a | bbb=b
| b♦1=b | b♦2=b | b♦3=b
|
| c'ty full — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 2:1 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba
| | skews
|
|---|
| aaa=b | aab=a
| aba=a | abb=b
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b
| bba=b | bbb=a
| b♦1=a | b♦2=a | b♦3=a
|
| c'ty full — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 3:0 | identities:
aa_,
a_a,
_aa,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb
| | skews
|
|---|
| aaa=a | aab=b | aac=c
| aba=b | abb=c | abc=a
| aca=c | acb=a | acc=b
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=a
| bba=c | bbb=a | bbc=b
| bca=a | bcb=b | bcc=c
| b♦1=c | b♦2=c | b♦3=c
|
| caa=c | cab=a | cac=b
| cba=a | cbb=b | cbc=c
| cca=b | ccb=c | ccc=a
| c♦1=b | c♦2=b | c♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 3:2 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc
| | skews
|
|---|
| aaa=a | aab=b | aac=c
| aba=c | abb=a | abc=b
| aca=b | acb=c | acc=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=a
| bba=a | bbb=b | bbc=c
| bca=c | bcb=a | bcc=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=a | cac=b
| cba=b | cbb=c | cbc=a
| cca=a | ccb=b | ccc=c
| c♦1=c | c♦2=c | c♦3=c
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 3:15 | identities:
ac_,
c_a,
_ac,
bb_,
b_b,
_bb,
ca_,
a_c,
_ca
| | skews
|
|---|
| aaa=b | aab=c | aac=a
| aba=c | abb=a | abc=b
| aca=a | acb=b | acc=c
| a♦1=c | a♦2=c | a♦3=c
|
| baa=c | bab=a | bac=b
| bba=a | bbb=b | bbc=c
| bca=b | bcb=c | bcc=a
| b♦1=b | b♦2=b | b♦3=b
|
| caa=a | cab=b | cac=c
| cba=b | cbb=c | cbc=a
| cca=c | ccb=a | ccc=b
| c♦1=a | c♦2=a | c♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 3:16 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cc_,
c_c,
_cc
| | skews
|
|---|
| aaa=c | aab=a | aac=b
| aba=a | abb=b | abc=c
| aca=b | acb=c | acc=a
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c
| bba=b | bbb=c | bbc=a
| bca=c | bcb=a | bcc=b
| b♦1=a | b♦2=a | b♦3=a
|
| caa=b | cab=c | cac=a
| cba=c | cbb=a | cbc=b
| cca=a | ccb=b | ccc=c
| c♦1=c | c♦2=c | c♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 4:0 | identities:
aa_,
a_a,
_aa,
bb_,
b_b,
_bb,
cc_,
c_c,
_cc,
dd_,
d_d,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=a | abc=d | abd=c
| aca=c | acb=d | acc=a | acd=b
| ada=d | adb=c | adc=b | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=c | bcc=b | bcd=a
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=a | cad=b
| cba=d | cbb=c | cbc=b | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=b | dad=a
| dba=c | dbb=d | dbc=a | dbd=b
| dca=b | dcb=a | dcc=d | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty full — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:139 | identities:
aa_,
a_a,
_aa,
bb_,
b_b,
_bb,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=a | abc=d | abd=c
| aca=c | acb=d | acc=b | acd=a
| ada=d | adb=c | adc=a | add=b
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=c | bcc=a | bcd=b
| bda=c | bdb=d | bdc=b | bdd=a
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=b | cad=a
| cba=d | cbb=c | cbc=a | cbd=b
| cca=b | ccb=a | ccc=d | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=d | dab=c | dac=a | dad=b
| dba=c | dbb=d | dbc=b | dbd=a
| dca=a | dcb=b | dcc=c | dcd=d
| dda=b | ddb=a | ddc=d | ddd=c
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:220 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=a | abc=d | abd=c
| aca=d | acb=c | acc=a | acd=b
| ada=c | adb=d | adc=b | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=c | bcb=d | bcc=b | bcd=a
| bda=d | bdb=c | bdc=a | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=b | cad=a
| cba=d | cbb=c | cbc=a | cbd=b
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=a | dad=b
| dba=c | dbb=d | dbc=b | dbd=a
| dca=b | dcb=a | dcc=d | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:303 | identities:
aa_,
_aa,
bb_,
_bb,
cd_,
_cd,
dc_,
_dc
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=a | abc=d | abd=c
| aca=d | acb=c | acc=b | acd=a
| ada=c | adb=d | adc=a | add=b
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=c | bcb=d | bcc=a | bcd=b
| bda=d | bdb=c | bdc=b | bdd=a
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=a | cad=b
| cba=d | cbb=c | cbc=b | cbd=a
| cca=b | ccb=a | ccc=d | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=d | dab=c | dac=b | dad=a
| dba=c | dbb=d | dbc=a | dbd=b
| dca=a | dcb=b | dcc=c | dcd=d
| dda=b | ddb=a | ddc=d | ddd=c
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:452 | identities:
aa_,
a_a,
_aa,
bd_,
d_b,
_bd,
cc_,
c_c,
_cc,
db_,
b_d,
_db
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=c | abc=d | abd=a
| aca=c | acb=d | acc=a | acd=b
| ada=d | adb=a | adc=b | add=c
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=d | bad=a
| bba=c | bbb=d | bbc=a | bbd=b
| bca=d | bcb=a | bcc=b | bcd=c
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=c | cab=d | cac=a | cad=b
| cba=d | cbb=a | cbc=b | cbd=c
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=c | cdc=d | cdd=a
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=a | dac=b | dad=c
| dba=a | dbb=b | dbc=c | dbd=d
| dca=b | dcb=c | dcc=d | dcd=a
| dda=c | ddb=d | ddc=a | ddd=b
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:626 | identities:
aa_,
a_a,
_aa,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
dd_,
d_d,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=b | abb=d | abc=a | abd=c
| aca=c | acb=a | acc=d | acd=b
| ada=d | adb=c | adc=b | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=a | bad=c
| bba=d | bbb=c | bbc=b | bbd=a
| bca=a | bcb=b | bcc=c | bcd=d
| bda=c | bdb=a | bdc=d | bdd=b
| b♦1=c | b♦2=c | b♦3=c
|
| caa=c | cab=a | cac=d | cad=b
| cba=a | cbb=b | cbc=c | cbd=d
| cca=d | ccb=c | ccc=b | ccd=a
| cda=b | cdb=d | cdc=a | cdd=c
| c♦1=b | c♦2=b | c♦3=b
|
| daa=d | dab=c | dac=b | dad=a
| dba=c | dbb=a | dbc=d | dbd=b
| dca=b | dcb=d | dcc=a | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:784 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=c | abb=a | abc=d | abd=b
| aca=b | acb=d | acc=a | acd=c
| ada=d | adb=c | adc=b | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=a | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=c | bcc=b | bcd=a
| bda=c | bdb=a | bdc=d | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=a | cac=d | cad=b
| cba=d | cbb=c | cbc=b | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=d | cdc=a | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=b | dad=a
| dba=b | dbb=d | dbc=a | dbd=c
| dca=c | dcb=a | dcc=d | dcd=b
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:942 | identities:
aa_,
_aa,
bc_,
_bc,
cb_,
_cb,
dd_,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=c | abb=d | abc=a | abd=b
| aca=b | acb=a | acc=d | acd=c
| ada=d | adb=c | adc=b | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=d | bbb=c | bbc=b | bbd=a
| bca=a | bcb=b | bcc=c | bcd=d
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=c | b♦2=c | b♦3=c
|
| caa=c | cab=d | cac=a | cad=b
| cba=a | cbb=b | cbc=c | cbd=d
| cca=d | ccb=c | ccc=b | ccd=a
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=b | c♦2=b | c♦3=b
|
| daa=d | dab=c | dac=b | dad=a
| dba=b | dbb=a | dbc=d | dbd=c
| dca=c | dcb=d | dcc=a | dcd=b
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:1632 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=d | abb=a | abc=b | abd=c
| aca=c | acb=d | acc=a | acd=b
| ada=b | adb=c | adc=d | add=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=d | bad=a
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=a | bcc=b | bcd=c
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=a | cad=b
| cba=b | cbb=c | cbc=d | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=d | cdb=a | cdc=b | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=a | dac=b | dad=c
| dba=c | dbb=d | dbc=a | dbd=b
| dca=b | dcb=c | dcc=d | dcd=a
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:2187 | identities:
aa_,
_aa,
bd_,
_bd,
cc_,
_cc,
db_,
_db
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d
| aba=d | abb=c | abc=b | abd=a
| aca=c | acb=d | acc=a | acd=b
| ada=b | adb=a | adc=d | add=c
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=a | bac=d | bad=c
| bba=c | bbb=d | bbc=a | bbd=b
| bca=d | bcb=c | bcc=b | bcd=a
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=c | cab=d | cac=a | cad=b
| cba=b | cbb=a | cbc=d | cbd=c
| cca=a | ccb=b | ccc=c | ccd=d
| cda=d | cdb=c | cdc=b | cdd=a
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=b | dad=a
| dba=a | dbb=b | dbc=c | dbd=d
| dca=b | dcb=a | dcc=d | dcd=c
| dda=c | ddb=d | ddc=a | ddd=b
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:16140 | identities:
ab_,
_ab,
ba_,
_ba,
cc_,
_cc,
dd_,
_dd
| | skews
|
|---|
| aaa=b | aab=a | aac=d | aad=c
| aba=a | abb=b | abc=c | abd=d
| aca=c | acb=d | acc=a | acd=b
| ada=d | adb=c | adc=b | add=a
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=a | bbc=d | bbd=c
| bca=d | bcb=c | bcc=b | bcd=a
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=b | cad=a
| cba=c | cbb=d | cbc=a | cbd=b
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=c | dab=d | dac=a | dad=b
| dba=d | dbb=c | dbc=b | dbd=a
| dca=b | dcb=a | dcc=d | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:16271 | identities:
ab_,
_ab,
ba_,
_ba,
cd_,
_cd,
dc_,
_dc
| | skews
|
|---|
| aaa=b | aab=a | aac=d | aad=c
| aba=a | abb=b | abc=c | abd=d
| aca=c | acb=d | acc=b | acd=a
| ada=d | adb=c | adc=a | add=b
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=a | bbc=d | bbd=c
| bca=d | bcb=c | bcc=a | bcd=b
| bda=c | bdb=d | bdc=b | bdd=a
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=a | cad=b
| cba=c | cbb=d | cbc=b | cbd=a
| cca=b | ccb=a | ccc=d | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=c | dab=d | dac=b | dad=a
| dba=d | dbb=c | dbc=a | dbd=b
| dca=a | dcb=b | dcc=c | dcd=d
| dda=b | ddb=a | ddc=d | ddd=c
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:16352 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cc_,
c_c,
_cc,
dd_,
d_d,
_dd
| | skews
|
|---|
| aaa=b | aab=a | aac=d | aad=c
| aba=a | abb=b | abc=c | abd=d
| aca=d | acb=c | acc=a | acd=b
| ada=c | adb=d | adc=b | add=a
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=a | bbc=d | bbd=c
| bca=c | bcb=d | bcc=b | bcd=a
| bda=d | bdb=c | bdc=a | bdd=b
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=a | cad=b
| cba=c | cbb=d | cbc=b | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=c | dab=d | dac=b | dad=a
| dba=d | dbb=c | dbc=a | dbd=b
| dca=b | dcb=a | dcc=d | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:16443 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc
| | skews
|
|---|
| aaa=b | aab=a | aac=d | aad=c
| aba=a | abb=b | abc=c | abd=d
| aca=d | acb=c | acc=b | acd=a
| ada=c | adb=d | adc=a | add=b
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=a | bbc=d | bbd=c
| bca=c | bcb=d | bcc=a | bcd=b
| bda=d | bdb=c | bdc=b | bdd=a
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=b | cad=a
| cba=c | cbb=d | cbc=a | cbd=b
| cca=b | ccb=a | ccc=d | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=c | dab=d | dac=a | dad=b
| dba=d | dbb=c | dbc=b | dbd=a
| dca=a | dcb=b | dcc=c | dcd=d
| dda=b | ddb=a | ddc=d | ddd=c
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty full — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:22241 | identities:
ad_,
d_a,
_ad,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
da_,
a_d,
_da
| | skews
|
|---|
| aaa=b | aab=c | aac=d | aad=a
| aba=c | abb=d | abc=a | abd=b
| aca=d | acb=a | acc=b | acd=c
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=d | bac=a | bad=b
| bba=d | bbb=a | bbc=b | bbd=c
| bca=a | bcb=b | bcc=c | bcd=d
| bda=b | bdb=c | bdc=d | bdd=a
| b♦1=c | b♦2=c | b♦3=c
|
| caa=d | cab=a | cac=b | cad=c
| cba=a | cbb=b | cbc=c | cbd=d
| cca=b | ccb=c | ccc=d | ccd=a
| cda=c | cdb=d | cdc=a | cdd=b
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d
| dba=b | dbb=c | dbc=d | dbd=a
| dca=c | dcb=d | dcc=a | dcd=b
| dda=d | ddb=a | ddc=b | ddd=c
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:25256 | identities:
ac_,
c_a,
_ac,
bd_,
d_b,
_bd,
ca_,
a_c,
_ca,
db_,
b_d,
_db
| | skews
|
|---|
| aaa=b | aab=d | aac=a | aad=c
| aba=d | abb=c | abc=b | abd=a
| aca=a | acb=b | acc=c | acd=d
| ada=c | adb=a | adc=d | add=b
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=c | bac=b | bad=a
| bba=c | bbb=a | bbc=d | bbd=b
| bca=b | bcb=d | bcc=a | bcd=c
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d
| cba=b | cbb=d | cbc=a | cbd=c
| cca=c | ccb=a | ccc=d | ccd=b
| cda=d | cdb=c | cdc=b | cdd=a
| c♦1=a | c♦2=a | c♦3=a
|
| daa=c | dab=a | dac=d | dad=b
| dba=a | dbb=b | dbc=c | dbd=d
| dca=d | dcb=c | dcc=b | dcd=a
| dda=b | ddb=d | ddc=a | ddd=c
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:30039 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc
| | skews
|
|---|
| aaa=c | aab=a | aac=d | aad=b
| aba=a | abb=b | abc=c | abd=d
| aca=d | acb=c | acc=b | acd=a
| ada=b | adb=d | adc=a | add=c
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=d | bbc=a | bbd=c
| bca=c | bcb=a | bcc=d | bcd=b
| bda=d | bdb=c | bdc=b | bdd=a
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=b | cad=a
| cba=c | cbb=a | cbc=d | cbd=b
| cca=b | ccb=d | ccc=a | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=b | dab=d | dac=a | dad=c
| dba=d | dbb=c | dbc=b | dbd=a
| dca=a | dcb=b | dcc=c | dcd=d
| dda=c | ddb=a | ddc=d | ddd=b
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:37907 | identities:
ac_,
_ac,
bb_,
_bb,
ca_,
_ca,
dd_,
_dd
| | skews
|
|---|
| aaa=c | aab=d | aac=a | aad=b
| aba=b | abb=a | abc=d | abd=c
| aca=a | acb=b | acc=c | acd=d
| ada=d | adb=c | adc=b | add=a
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=c | bac=b | bad=a
| bba=a | bbb=b | bbc=c | bbd=d
| bca=b | bcb=a | bcc=d | bcd=c
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=a | cab=b | cac=c | cad=d
| cba=d | cbb=c | cbc=b | cbd=a
| cca=c | ccb=d | ccc=a | ccd=b
| cda=b | cdb=a | cdc=d | cdd=c
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=a | dac=d | dad=c
| dba=c | dbb=d | dbc=a | dbd=b
| dca=d | dcb=c | dcc=b | dcd=a
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:38298 | identities:
ac_,
_ac,
bd_,
_bd,
ca_,
_ca,
db_,
_db
| | skews
|
|---|
| aaa=c | aab=d | aac=a | aad=b
| aba=b | abb=c | abc=d | abd=a
| aca=a | acb=b | acc=c | acd=d
| ada=d | adb=a | adc=b | add=c
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=a | bac=b | bad=c
| bba=c | bbb=d | bbc=a | bbd=b
| bca=b | bcb=c | bcc=d | bcd=a
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d
| cba=d | cbb=a | cbc=b | cbd=c
| cca=c | ccb=d | ccc=a | ccd=b
| cda=b | cdb=c | cdc=d | cdd=a
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=c | dac=d | dad=a
| dba=a | dbb=b | dbc=c | dbd=d
| dca=d | dcb=a | dcc=b | dcd=c
| dda=c | ddb=d | ddc=a | ddd=b
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:38456 | identities:
ac_,
c_a,
_ac,
bb_,
b_b,
_bb,
ca_,
a_c,
_ca,
dd_,
d_d,
_dd
| | skews
|
|---|
| aaa=c | aab=d | aac=a | aad=b
| aba=d | abb=a | abc=b | abd=c
| aca=a | acb=b | acc=c | acd=d
| ada=b | adb=c | adc=d | add=a
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=a | bac=b | bad=c
| bba=a | bbb=b | bbc=c | bbd=d
| bca=b | bcb=c | bcc=d | bcd=a
| bda=c | bdb=d | bdc=a | bdd=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=a | cab=b | cac=c | cad=d
| cba=b | cbb=c | cbc=d | cbd=a
| cca=c | ccb=d | ccc=a | ccd=b
| cda=d | cdb=a | cdc=b | cdd=c
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=c | dac=d | dad=a
| dba=c | dbb=d | dbc=a | dbd=b
| dca=d | dcb=a | dcc=b | dcd=c
| dda=a | ddb=b | ddc=c | ddd=d
| d♦1=d | d♦2=d | d♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:38852 | identities:
ac_,
c_a,
_ac,
bd_,
d_b,
_bd,
ca_,
a_c,
_ca,
db_,
b_d,
_db
| | skews
|
|---|
| aaa=c | aab=d | aac=a | aad=b
| aba=d | abb=c | abc=b | abd=a
| aca=a | acb=b | acc=c | acd=d
| ada=b | adb=a | adc=d | add=c
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=c | bac=b | bad=a
| bba=c | bbb=d | bbc=a | bbd=b
| bca=b | bcb=a | bcc=d | bcd=c
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d
| cba=b | cbb=a | cbc=d | cbd=c
| cca=c | ccb=d | ccc=a | ccd=b
| cda=d | cdb=c | cdc=b | cdd=a
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=a | dac=d | dad=c
| dba=a | dbb=b | dbc=c | dbd=d
| dca=d | dcb=c | dcc=b | dcd=a
| dda=c | ddb=d | ddc=a | ddd=b
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty full — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:41470 | identities:
ad_,
d_a,
_ad,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
da_,
a_d,
_da
| | skews
|
|---|
| aaa=c | aab=d | aac=b | aad=a
| aba=d | abb=c | abc=a | abd=b
| aca=b | acb=a | acc=d | acd=c
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=d | bab=c | bac=a | bad=b
| bba=c | bbb=d | bbc=b | bbd=a
| bca=a | bcb=b | bcc=c | bcd=d
| bda=b | bdb=a | bdc=d | bdd=c
| b♦1=c | b♦2=c | b♦3=c
|
| caa=b | cab=a | cac=d | cad=c
| cba=a | cbb=b | cbc=c | cbd=d
| cca=d | ccb=c | ccc=a | ccd=b
| cda=c | cdb=d | cdc=b | cdd=a
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d
| dba=b | dbb=a | dbc=d | dbd=c
| dca=c | dcb=d | dcc=b | dcd=a
| dda=d | ddb=c | ddc=a | ddd=b
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:41474 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc
| | skews
|
|---|
| aaa=d | aab=a | aac=b | aad=c
| aba=a | abb=b | abc=c | abd=d
| aca=b | acb=c | acc=d | acd=a
| ada=c | adb=d | adc=a | add=b
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d
| bba=b | bbb=c | bbc=d | bbd=a
| bca=c | bcb=d | bcc=a | bcd=b
| bda=d | bdb=a | bdc=b | bdd=c
| b♦1=a | b♦2=a | b♦3=a
|
| caa=b | cab=c | cac=d | cad=a
| cba=c | cbb=d | cbc=a | cbd=b
| cca=d | ccb=a | ccc=b | ccd=c
| cda=a | cdb=b | cdc=c | cdd=d
| c♦1=d | c♦2=d | c♦3=d
|
| daa=c | dab=d | dac=a | dad=b
| dba=d | dbb=a | dbc=b | dbd=c
| dca=a | dcb=b | dcc=c | dcd=d
| dda=b | ddb=c | ddc=d | ddd=a
| d♦1=c | d♦2=c | d♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:52629 | identities:
ac_,
c_a,
_ac,
bd_,
d_b,
_bd,
ca_,
a_c,
_ca,
db_,
b_d,
_db
| | skews
|
|---|
| aaa=d | aab=c | aac=a | aad=b
| aba=c | abb=d | abc=b | abd=a
| aca=a | acb=b | acc=c | acd=d
| ada=b | adb=a | adc=d | add=c
| a♦1=c | a♦2=c | a♦3=c
|
| baa=c | bab=d | bac=b | bad=a
| bba=d | bbb=c | bbc=a | bbd=b
| bca=b | bcb=a | bcc=d | bcd=c
| bda=a | bdb=b | bdc=c | bdd=d
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d
| cba=b | cbb=a | cbc=d | cbd=c
| cca=c | ccb=d | ccc=b | ccd=a
| cda=d | cdb=c | cdc=a | cdd=b
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=a | dac=d | dad=c
| dba=a | dbb=b | dbc=c | dbd=d
| dca=d | dcb=c | dcc=a | dcd=b
| dda=c | ddb=d | ddc=b | ddd=a
| d♦1=b | d♦2=b | d♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:54353 | identities:
ad_,
_ad,
bb_,
_bb,
cc_,
_cc,
da_,
_da
| | skews
|
|---|
| aaa=d | aab=c | aac=b | aad=a
| aba=b | abb=a | abc=d | abd=c
| aca=c | acb=d | acc=a | acd=b
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=d | bac=a | bad=b
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=c | bcc=b | bcd=a
| bda=b | bdb=a | bdc=d | bdd=c
| b♦1=b | b♦2=b | b♦3=b
|
| caa=b | cab=a | cac=d | cad=c
| cba=d | cbb=c | cbc=b | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=c | cdb=d | cdc=a | cdd=b
| c♦1=c | c♦2=c | c♦3=c
|
| daa=a | dab=b | dac=c | dad=d
| dba=c | dbb=d | dbc=a | dbd=b
| dca=b | dcb=a | dcc=d | dcd=c
| dda=d | ddb=c | ddc=b | ddd=a
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty exterior — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:54511 | identities:
ad_,
_ad,
bc_,
_bc,
cb_,
_cb,
da_,
_da
| | skews
|
|---|
| aaa=d | aab=c | aac=b | aad=a
| aba=b | abb=d | abc=a | abd=c
| aca=c | acb=a | acc=d | acd=b
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=a | bac=d | bad=b
| bba=d | bbb=c | bbc=b | bbd=a
| bca=a | bcb=b | bcc=c | bcd=d
| bda=b | bdb=d | bdc=a | bdd=c
| b♦1=c | b♦2=c | b♦3=c
|
| caa=b | cab=d | cac=a | cad=c
| cba=a | cbb=b | cbc=c | cbd=d
| cca=d | ccb=c | ccc=b | ccd=a
| cda=c | cdb=a | cdc=d | cdd=b
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d
| dba=c | dbb=a | dbc=d | dbd=b
| dca=b | dcb=d | dcc=a | dcd=c
| dda=d | ddb=c | ddc=b | ddd=a
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:54669 | identities:
ad_,
d_a,
_ad,
bb_,
b_b,
_bb,
cc_,
c_c,
_cc,
da_,
a_d,
_da
| | skews
|
|---|
| aaa=d | aab=c | aac=b | aad=a
| aba=c | abb=a | abc=d | abd=b
| aca=b | acb=d | acc=a | acd=c
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=a | bac=d | bad=b
| bba=a | bbb=b | bbc=c | bbd=d
| bca=d | bcb=c | bcc=b | bcd=a
| bda=b | bdb=d | bdc=a | bdd=c
| b♦1=b | b♦2=b | b♦3=b
|
| caa=b | cab=d | cac=a | cad=c
| cba=d | cbb=c | cbc=b | cbd=a
| cca=a | ccb=b | ccc=c | ccd=d
| cda=c | cdb=a | cdc=d | cdd=b
| c♦1=c | c♦2=c | c♦3=c
|
| daa=a | dab=b | dac=c | dad=d
| dba=b | dbb=d | dbc=a | dbd=c
| dca=c | dcb=a | dcc=d | dcd=b
| dda=d | ddb=c | ddc=b | ddd=a
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true — decomp sinister, dexterior
| all invertible
|
| 4:55295 | identities:
ad_,
d_a,
_ad,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
da_,
a_d,
_da
| | skews
|
|---|
| aaa=d | aab=c | aac=b | aad=a
| aba=c | abb=d | abc=a | abd=b
| aca=b | acb=a | acc=d | acd=c
| ada=a | adb=b | adc=c | add=d
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=d | bac=a | bad=b
| bba=d | bbb=c | bbc=b | bbd=a
| bca=a | bcb=b | bcc=c | bcd=d
| bda=b | bdb=a | bdc=d | bdd=c
| b♦1=c | b♦2=c | b♦3=c
|
| caa=b | cab=a | cac=d | cad=c
| cba=a | cbb=b | cbc=c | cbd=d
| cca=d | ccb=c | ccc=b | ccd=a
| cda=c | cdb=d | cdc=a | cdd=b
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d
| dba=b | dbb=a | dbc=d | dbd=c
| dca=c | dcb=d | dcc=a | dcd=b
| dda=d | ddb=c | ddc=b | ddd=a
| d♦1=a | d♦2=a | d♦3=a
|
| c'ty full — a'ty full — self-d'ty full — m'ty true — decomp sinister, dexterior
| all invertible
|
In the case of C = 5, the author's computer did not have enough speed to calculate all the operation numbers of the kind that are described in section 11; such numbers as were found are included here. As a workaround, a much simpler numbering using the character "A" ("for associative") was devised.
Whatever the number, all 36 of the fully associative operations were found and are listed below.
| 5:A0 = 5:1263210 | identities:
aa_,
a_a,
_aa,
be_,
e_b,
_be,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=c | abc=d | abd=e | abe=a
| aca=c | acb=d | acc=e | acd=a | ace=b
| ada=d | adb=e | adc=a | add=b | ade=c
| aea=e | aeb=a | aec=b | aed=c | aee=d
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=d | bad=e | bae=a
| bba=c | bbb=d | bbc=e | bbd=a | bbe=b
| bca=d | bcb=e | bcc=a | bcd=b | bce=c
| bda=e | bdb=a | bdc=b | bdd=c | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=c | cab=d | cac=e | cad=a | cae=b
| cba=d | cbb=e | cbc=a | cbd=b | cbe=c
| cca=e | ccb=a | ccc=b | ccd=c | cce=d
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=b | ceb=c | cec=d | ced=e | cee=a
| c♦1=d | c♦2=d | c♦3=d
|
| daa=d | dab=e | dac=a | dad=b | dae=c
| dba=e | dbb=a | dbc=b | dbd=c | dbe=d
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=b | ddb=c | ddc=d | ddd=e | dde=a
| dea=c | deb=d | dec=e | ded=a | dee=b
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=e | eab=a | eac=b | ead=c | eae=d
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=b | ecb=c | ecc=d | ecd=e | ece=a
| eda=c | edb=d | edc=e | edd=a | ede=b
| eea=d | eeb=e | eec=a | eed=b | eee=c
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A1 = 5:1997442 | identities:
aa_,
a_a,
_aa,
bd_,
d_b,
_bd,
ce_,
e_c,
_ce,
db_,
b_d,
_db,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=c | abc=e | abd=a | abe=d
| aca=c | acb=e | acc=d | acd=b | ace=a
| ada=d | adb=a | adc=b | add=e | ade=c
| aea=e | aeb=d | aec=a | aed=c | aee=b
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=e | bad=a | bae=d
| bba=c | bbb=e | bbc=d | bbd=b | bbe=a
| bca=e | bcb=d | bcc=a | bcd=c | bce=b
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=d | beb=a | bec=b | bed=e | bee=c
| b♦1=d | b♦2=d | b♦3=d
|
| caa=c | cab=e | cac=d | cad=b | cae=a
| cba=e | cbb=d | cbc=a | cbd=c | cbe=b
| cca=d | ccb=a | ccc=b | ccd=e | cce=c
| cda=b | cdb=c | cdc=e | cdd=a | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=d | dab=a | dac=b | dad=e | dae=c
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=b | dcb=c | dcc=e | dcd=a | dce=d
| dda=e | ddb=d | ddc=a | ddd=c | dde=b
| dea=c | deb=e | dec=d | ded=b | dee=a
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=e | eab=d | eac=a | ead=c | eae=b
| eba=d | ebb=a | ebc=b | ebd=e | ebe=c
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=c | edb=e | edc=d | edd=b | ede=a
| eea=b | eeb=c | eec=e | eed=a | eee=d
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A2 = 5:2465928 | identities:
aa_,
a_a,
_aa,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=d | abc=a | abd=e | abe=c
| aca=c | acb=a | acc=e | acd=b | ace=d
| ada=d | adb=e | adc=b | add=c | ade=a
| aea=e | aeb=c | aec=d | aed=a | aee=b
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=a | bad=e | bae=c
| bba=d | bbb=e | bbc=b | bbd=c | bbe=a
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=e | bdb=c | bdc=d | bdd=a | bde=b
| bea=c | beb=a | bec=e | bed=b | bee=d
| b♦1=c | b♦2=c | b♦3=c
|
| caa=c | cab=a | cac=e | cad=b | cae=d
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=e | ccb=c | ccc=d | ccd=a | cce=b
| cda=b | cdb=d | cdc=a | cdd=e | cde=c
| cea=d | ceb=e | cec=b | ced=c | cee=a
| c♦1=b | c♦2=b | c♦3=b
|
| daa=d | dab=e | dac=b | dad=c | dae=a
| dba=e | dbb=c | dbc=d | dbd=a | dbe=b
| dca=b | dcb=d | dcc=a | dcd=e | dce=c
| dda=c | ddb=a | ddc=e | ddd=b | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=e | eab=c | eac=d | ead=a | eae=b
| eba=c | ebb=a | ebc=e | ebd=b | ebe=d
| eca=d | ecb=e | ecc=b | ecd=c | ece=a
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=b | eeb=d | eec=a | eed=e | eee=c
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A3 = 5:3632028 | identities:
aa_,
a_a,
_aa,
be_,
e_b,
_be,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=d | abc=e | abd=c | abe=a
| aca=c | acb=e | acc=b | acd=a | ace=d
| ada=d | adb=c | adc=a | add=e | ade=b
| aea=e | aeb=a | aec=d | aed=b | aee=c
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=e | bad=c | bae=a
| bba=d | bbb=c | bbc=a | bbd=e | bbe=b
| bca=e | bcb=a | bcc=d | bcd=b | bce=c
| bda=c | bdb=e | bdc=b | bdd=a | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=c | cab=e | cac=b | cad=a | cae=d
| cba=e | cbb=a | cbc=d | cbd=b | cbe=c
| cca=b | ccb=d | ccc=e | ccd=c | cce=a
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=d | ceb=c | cec=a | ced=e | cee=b
| c♦1=d | c♦2=d | c♦3=d
|
| daa=d | dab=c | dac=a | dad=e | dae=b
| dba=c | dbb=e | dbc=b | dbd=a | dbe=d
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=e | ddb=a | ddc=d | ddd=b | dde=c
| dea=b | deb=d | dec=e | ded=c | dee=a
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=e | eab=a | eac=d | ead=b | eae=c
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=d | ecb=c | ecc=a | ecd=e | ece=b
| eda=b | edb=d | edc=e | edd=c | ede=a
| eea=c | eeb=e | eec=b | eed=a | eee=d
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A4 = 5:4133886 | identities:
aa_,
a_a,
_aa,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=e | abc=a | abd=c | abe=d
| aca=c | acb=a | acc=d | acd=e | ace=b
| ada=d | adb=c | adc=e | add=b | ade=a
| aea=e | aeb=d | aec=b | aed=a | aee=c
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=e | bac=a | bad=c | bae=d
| bba=e | bbb=d | bbc=b | bbd=a | bbe=c
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=c | bdb=a | bdc=d | bdd=e | bde=b
| bea=d | beb=c | bec=e | bed=b | bee=a
| b♦1=c | b♦2=c | b♦3=c
|
| caa=c | cab=a | cac=d | cad=e | cae=b
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=d | ccb=c | ccc=e | ccd=b | cce=a
| cda=e | cdb=d | cdc=b | cdd=a | cde=c
| cea=b | ceb=e | cec=a | ced=c | cee=d
| c♦1=b | c♦2=b | c♦3=b
|
| daa=d | dab=c | dac=e | dad=b | dae=a
| dba=c | dbb=a | dbc=d | dbd=e | dbe=b
| dca=e | dcb=d | dcc=b | dcd=a | dce=c
| dda=b | ddb=e | ddc=a | ddd=c | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=e | eab=d | eac=b | ead=a | eae=c
| eba=d | ebb=c | ebc=e | ebd=b | ebe=a
| eca=b | ecb=e | ecc=a | ecd=c | ece=d
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=c | eeb=a | eec=d | eed=e | eee=b
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A5 = 5:4901088 | identities:
aa_,
a_a,
_aa,
bd_,
d_b,
_bd,
ce_,
e_c,
_ce,
db_,
b_d,
_db,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=b | abb=e | abc=d | abd=a | abe=c
| aca=c | acb=d | acc=b | acd=e | ace=a
| ada=d | adb=a | adc=e | add=c | ade=b
| aea=e | aeb=c | aec=a | aed=b | aee=d
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=e | bac=d | bad=a | bae=c
| bba=e | bbb=c | bbc=a | bbd=b | bbe=d
| bca=d | bcb=a | bcc=e | bcd=c | bce=b
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=c | beb=d | bec=b | bed=e | bee=a
| b♦1=d | b♦2=d | b♦3=d
|
| caa=c | cab=d | cac=b | cad=e | cae=a
| cba=d | cbb=a | cbc=e | cbd=c | cbe=b
| cca=b | ccb=e | ccc=d | ccd=a | cce=c
| cda=e | cdb=c | cdc=a | cdd=b | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=d | dab=a | dac=e | dad=c | dae=b
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=e | dcb=c | dcc=a | dcd=b | dce=d
| dda=c | ddb=d | ddc=b | ddd=e | dde=a
| dea=b | deb=e | dec=d | ded=a | dee=c
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=e | eab=c | eac=a | ead=b | eae=d
| eba=c | ebb=d | ebc=b | ebd=e | ebe=a
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=b | edb=e | edc=d | edd=a | ede=c
| eea=d | eeb=a | eec=e | eed=c | eee=b
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A6 = 5:6386440 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=c | abb=a | abc=d | abd=e | abe=b
| aca=b | acb=e | acc=a | acd=c | ace=d
| ada=e | adb=d | adc=b | add=a | ade=c
| aea=d | aeb=c | aec=e | aed=b | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=e | bac=a | bad=c | bae=d
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=e | bcb=d | bcc=b | bcd=a | bce=c
| bda=d | bdb=c | bdc=e | bdd=b | bde=a
| bea=c | beb=a | bec=d | bed=e | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=a | cac=d | cad=e | cae=b
| cba=d | cbb=c | cbc=e | cbd=b | cbe=a
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=b | cdb=e | cdc=a | cdd=c | cde=d
| cea=e | ceb=d | cec=b | ced=a | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=e | dad=b | dae=a
| dba=e | dbb=d | dbc=b | dbd=a | dbe=c
| dca=c | dcb=a | dcc=d | dcd=e | dce=b
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=b | deb=e | dec=a | ded=c | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=d | eac=b | ead=a | eae=c
| eba=b | ebb=e | ebc=a | ebd=c | ebe=d
| eca=d | ecb=c | ecc=e | ecd=b | ece=a
| eda=c | edb=a | edc=d | edd=e | ede=b
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A7 = 5:6918922 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=c | abb=a | abc=e | abd=b | abe=d
| aca=b | acb=d | acc=a | acd=e | ace=c
| ada=e | adb=c | adc=d | add=a | ade=b
| aea=d | aeb=e | aec=b | aed=c | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=a | bad=e | bae=c
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=d | bcb=e | bcc=b | bcd=c | bce=a
| bda=c | bdb=a | bdc=e | bdd=b | bde=d
| bea=e | beb=c | bec=d | bed=a | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=a | cac=e | cad=b | cae=d
| cba=e | cbb=c | cbc=d | cbd=a | cbe=b
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=d | cdb=e | cdc=b | cdd=c | cde=a
| cea=b | ceb=d | cec=a | ced=e | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=e | dac=b | dad=c | dae=a
| dba=b | dbb=d | dbc=a | dbd=e | dbe=c
| dca=e | dcb=c | dcc=d | dcd=a | dce=b
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=c | deb=a | dec=e | ded=b | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=c | eac=d | ead=a | eae=b
| eba=d | ebb=e | ebc=b | ebd=c | ebe=a
| eca=c | ecb=a | ecc=e | ecd=b | ece=d
| eda=b | edb=d | edc=a | edd=e | ede=c
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A8 = 5:12180956 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=d | abb=a | abc=b | abd=e | abe=c
| aca=e | acb=d | acc=a | acd=c | ace=b
| ada=b | adb=c | adc=e | add=a | ade=d
| aea=c | aeb=e | aec=d | aed=b | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=e | bad=a | bae=d
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=d | bcb=a | bcc=b | bcd=e | bce=c
| bda=c | bdb=e | bdc=d | bdd=b | bde=a
| bea=e | beb=d | bec=a | bed=c | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=e | cac=d | cad=b | cae=a
| cba=b | cbb=c | cbc=e | cbd=a | cbe=d
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=e | cdb=d | cdc=a | cdd=c | cde=b
| cea=d | ceb=a | cec=b | ced=e | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=a | dac=b | dad=e | dae=c
| dba=e | dbb=d | dbc=a | dbd=c | dbe=b
| dca=c | dcb=e | dcc=d | dcd=b | dce=a
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=b | deb=c | dec=e | ded=a | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=d | eac=a | ead=c | eae=b
| eba=c | ebb=e | ebc=d | ebd=b | ebe=a
| eca=b | ecb=c | ecc=e | ecd=a | ece=d
| eda=d | edb=a | edc=b | edd=e | ede=c
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A9 = 5:13050082 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=d | abb=a | abc=e | abd=c | abe=b
| aca=e | acb=c | acc=a | acd=b | ace=d
| ada=b | adb=e | adc=d | add=a | ade=c
| aea=c | aeb=d | aec=b | aed=e | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=e | bac=d | bad=a | bae=c
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=c | bcb=d | bcc=b | bcd=e | bce=a
| bda=e | bdb=c | bdc=a | bdd=b | bde=d
| bea=d | beb=a | bec=e | bed=c | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=b | cad=e | cae=a
| cba=e | cbb=c | cbc=a | cbd=b | cbe=d
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=d | cdb=a | cdc=e | cdd=c | cde=b
| cea=b | ceb=e | cec=d | ced=a | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=a | dac=e | dad=c | dae=b
| dba=c | dbb=d | dbc=b | dbd=e | dbe=a
| dca=b | dcb=e | dcc=d | dcd=a | dce=c
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=e | deb=c | dec=a | ded=b | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=c | eac=a | ead=b | eae=d
| eba=b | ebb=e | ebc=d | ebd=a | ebe=c
| eca=d | ecb=a | ecc=e | ecd=c | ece=b
| eda=c | edb=d | edc=b | edd=e | ede=a
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A10 = 5:17998292 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=e | abb=a | abc=b | abd=c | abe=d
| aca=d | acb=e | acc=a | acd=b | ace=c
| ada=c | adb=d | adc=e | add=a | ade=b
| aea=b | aeb=c | aec=d | aed=e | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=c | bac=d | bad=e | bae=a
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=e | bcb=a | bcc=b | bcd=c | bce=d
| bda=d | bdb=e | bdc=a | bdd=b | bde=c
| bea=c | beb=d | bec=e | bed=a | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=d | cac=e | cad=a | cae=b
| cba=b | cbb=c | cbc=d | cbd=e | cbe=a
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=e | cdb=a | cdc=b | cdd=c | cde=d
| cea=d | ceb=e | cec=a | ced=b | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=e | dac=a | dad=b | dae=c
| dba=c | dbb=d | dbc=e | dbd=a | dbe=b
| dca=b | dcb=c | dcc=d | dcd=e | dce=a
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=e | deb=a | dec=b | ded=c | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=a | eac=b | ead=c | eae=d
| eba=d | ebb=e | ebc=a | ebd=b | ebe=c
| eca=c | ecb=d | ecc=e | ecd=a | ece=b
| eda=b | edb=c | edc=d | edd=e | ede=a
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A11 = 5:18468178 | identities:
aa_,
_aa,
bb_,
_bb,
cc_,
_cc,
dd_,
_dd,
ee_,
_ee
| | skews
|
|---|
| aaa=a | aab=b | aac=c | aad=d | aae=e
| aba=e | abb=a | abc=d | abd=b | abe=c
| aca=d | acb=c | acc=a | acd=e | ace=b
| ada=c | adb=e | adc=b | add=a | ade=d
| aea=b | aeb=d | aec=e | aed=c | aee=a
| a♦1=a | a♦2=a | a♦3=a
|
| baa=b | bab=d | bac=e | bad=c | bae=a
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=c | bcb=e | bcc=b | bcd=a | bce=d
| bda=e | bdb=a | bdc=d | bdd=b | bde=c
| bea=d | beb=c | bec=a | bed=e | bee=b
| b♦1=b | b♦2=b | b♦3=b
|
| caa=c | cab=e | cac=b | cad=a | cae=d
| cba=d | cbb=c | cbc=a | cbd=e | cbe=b
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=b | cdb=d | cdc=e | cdd=c | cde=a
| cea=e | ceb=a | cec=d | ced=b | cee=c
| c♦1=c | c♦2=c | c♦3=c
|
| daa=d | dab=c | dac=a | dad=e | dae=b
| dba=b | dbb=d | dbc=e | dbd=c | dbe=a
| dca=e | dcb=a | dcc=d | dcd=b | dce=c
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=c | deb=e | dec=b | ded=a | dee=d
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=e | eab=a | eac=d | ead=b | eae=c
| eba=c | ebb=e | ebc=b | ebd=a | ebe=d
| eca=b | ecb=d | ecc=e | ecd=c | ece=a
| eda=d | edb=c | edc=a | edd=e | ede=b
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty exterior — a'ty full — self-d'ty full — m'ty true
| all invertible
|
| 5:A12 | identities:
ae_,
e_a,
_ae,
bd_,
d_b,
_bd,
cc_,
c_c,
_cc,
db_,
b_d,
_db,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=b | aab=c | aac=d | aad=e | aae=a
| aba=c | abb=d | abc=e | abd=a | abe=b
| aca=d | acb=e | acc=a | acd=b | ace=c
| ada=e | adb=a | adc=b | add=c | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=c | bab=d | bac=e | bad=a | bae=b
| bba=d | bbb=e | bbc=a | bbd=b | bbe=c
| bca=e | bcb=a | bcc=b | bcd=c | bce=d
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=b | beb=c | bec=d | bed=e | bee=a
| b♦1=d | b♦2=d | b♦3=d
|
| caa=d | cab=e | cac=a | cad=b | cae=c
| cba=e | cbb=a | cbc=b | cbd=c | cbe=d
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=b | cdb=c | cdc=d | cdd=e | cde=a
| cea=c | ceb=d | cec=e | ced=a | cee=b
| c♦1=c | c♦2=c | c♦3=c
|
| daa=e | dab=a | dac=b | dad=c | dae=d
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=b | dcb=c | dcc=d | dcd=e | dce=a
| dda=c | ddb=d | ddc=e | ddd=a | dde=b
| dea=d | deb=e | dec=a | ded=b | dee=c
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=c | ebc=d | ebd=e | ebe=a
| eca=c | ecb=d | ecc=e | ecd=a | ece=b
| eda=d | edb=e | edc=a | edd=b | ede=c
| eea=e | eeb=a | eec=b | eed=c | eee=d
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A13 | identities:
ad_,
d_a,
_ad,
be_,
e_b,
_be,
cc_,
c_c,
_cc,
da_,
a_d,
_da,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=b | aab=c | aac=e | aad=a | aae=d
| aba=c | abb=e | abc=d | abd=b | abe=a
| aca=e | acb=d | acc=a | acd=c | ace=b
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=d | aeb=a | aec=b | aed=e | aee=c
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=e | bac=d | bad=b | bae=a
| bba=e | bbb=d | bbc=a | bbd=c | bbe=b
| bca=d | bcb=a | bcc=b | bcd=e | bce=c
| bda=b | bdb=c | bdc=e | bdd=a | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=e | cab=d | cac=a | cad=c | cae=b
| cba=d | cbb=a | cbc=b | cbd=e | cbe=c
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=c | cdb=e | cdc=d | cdd=b | cde=a
| cea=b | ceb=c | cec=e | ced=a | cee=d
| c♦1=c | c♦2=c | c♦3=c
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=c | dbc=e | dbd=a | dbe=d
| dca=c | dcb=e | dcc=d | dcd=b | dce=a
| dda=d | ddb=a | ddc=b | ddd=e | dde=c
| dea=e | deb=d | dec=a | ded=c | dee=b
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=d | eab=a | eac=b | ead=e | eae=c
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=b | ecb=c | ecc=e | ecd=a | ece=d
| eda=e | edb=d | edc=a | edd=c | ede=b
| eea=c | eeb=e | eec=d | eed=b | eee=a
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A14 | identities:
ac_,
c_a,
_ac,
be_,
e_b,
_be,
ca_,
a_c,
_ca,
dd_,
d_d,
_dd,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=b | aab=d | aac=a | aad=e | aae=c
| aba=d | abb=e | abc=b | abd=c | abe=a
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=e | adb=c | adc=d | add=a | ade=b
| aea=c | aeb=a | aec=e | aed=b | aee=d
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=e | bac=b | bad=c | bae=a
| bba=e | bbb=c | bbc=d | bbd=a | bbe=b
| bca=b | bcb=d | bcc=a | bcd=e | bce=c
| bda=c | bdb=a | bdc=e | bdd=b | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=d | cbc=a | cbd=e | cbe=c
| cca=c | ccb=a | ccc=e | ccd=b | cce=d
| cda=d | cdb=e | cdc=b | cdd=c | cde=a
| cea=e | ceb=c | cec=d | ced=a | cee=b
| c♦1=a | c♦2=a | c♦3=a
|
| daa=e | dab=c | dac=d | dad=a | dae=b
| dba=c | dbb=a | dbc=e | dbd=b | dbe=d
| dca=d | dcb=e | dcc=b | dcd=c | dce=a
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=b | deb=d | dec=a | ded=e | dee=c
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=c | eab=a | eac=e | ead=b | eae=d
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=e | ecb=c | ecc=d | ecd=a | ece=b
| eda=b | edb=d | edc=a | edd=e | ede=c
| eea=d | eeb=e | eec=b | eed=c | eee=a
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A15 | identities:
ae_,
e_a,
_ae,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
dd_,
d_d,
_dd,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=b | aab=d | aac=e | aad=c | aae=a
| aba=d | abb=c | abc=a | abd=e | abe=b
| aca=e | acb=a | acc=d | acd=b | ace=c
| ada=c | adb=e | adc=b | add=a | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=d | bab=c | bac=a | bad=e | bae=b
| bba=c | bbb=e | bbc=b | bbd=a | bbe=d
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=e | bdb=a | bdc=d | bdd=b | bde=c
| bea=b | beb=d | bec=e | bed=c | bee=a
| b♦1=c | b♦2=c | b♦3=c
|
| caa=e | cab=a | cac=d | cad=b | cae=c
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=d | ccb=c | ccc=a | ccd=e | cce=b
| cda=b | cdb=d | cdc=e | cdd=c | cde=a
| cea=c | ceb=e | cec=b | ced=a | cee=d
| c♦1=b | c♦2=b | c♦3=b
|
| daa=c | dab=e | dac=b | dad=a | dae=d
| dba=e | dbb=a | dbc=d | dbd=b | dbe=c
| dca=b | dcb=d | dcc=e | dcd=c | dce=a
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=d | deb=c | dec=a | ded=e | dee=b
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=d | ebc=e | ebd=c | ebe=a
| eca=c | ecb=e | ecc=b | ecd=a | ece=d
| eda=d | edb=c | edc=a | edd=e | ede=b
| eea=e | eeb=a | eec=d | eed=b | eee=c
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A16 | identities:
ac_,
c_a,
_ac,
bd_,
d_b,
_bd,
ca_,
a_c,
_ca,
db_,
b_d,
_db,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=b | aab=e | aac=a | aad=c | aae=d
| aba=e | abb=d | abc=b | abd=a | abe=c
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=c | adb=a | adc=d | add=e | ade=b
| aea=d | aeb=c | aec=e | aed=b | aee=a
| a♦1=c | a♦2=c | a♦3=c
|
| baa=e | bab=d | bac=b | bad=a | bae=c
| bba=d | bbb=c | bbc=e | bbd=b | bbe=a
| bca=b | bcb=e | bcc=a | bcd=c | bce=d
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=c | beb=a | bec=d | bed=e | bee=b
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=e | cbc=a | cbd=c | cbe=d
| cca=c | ccb=a | ccc=d | ccd=e | cce=b
| cda=d | cdb=c | cdc=e | cdd=b | cde=a
| cea=e | ceb=d | cec=b | ced=a | cee=c
| c♦1=a | c♦2=a | c♦3=a
|
| daa=c | dab=a | dac=d | dad=e | dae=b
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=d | dcb=c | dcc=e | dcd=b | dce=a
| dda=e | ddb=d | ddc=b | ddd=a | dde=c
| dea=b | deb=e | dec=a | ded=c | dee=d
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=d | eab=c | eac=e | ead=b | eae=a
| eba=c | ebb=a | ebc=d | ebd=e | ebe=b
| eca=e | ecb=d | ecc=b | ecd=a | ece=c
| eda=b | edb=e | edc=a | edd=c | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A17 | identities:
ad_,
d_a,
_ad,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
da_,
a_d,
_da,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=b | aab=e | aac=d | aad=a | aae=c
| aba=e | abb=c | abc=a | abd=b | abe=d
| aca=d | acb=a | acc=e | acd=c | ace=b
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=c | aeb=d | aec=b | aed=e | aee=a
| a♦1=d | a♦2=d | a♦3=d
|
| baa=e | bab=c | bac=a | bad=b | bae=d
| bba=c | bbb=d | bbc=b | bbd=e | bbe=a
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=b | bdb=e | bdc=d | bdd=a | bde=c
| bea=d | beb=a | bec=e | bed=c | bee=b
| b♦1=c | b♦2=c | b♦3=c
|
| caa=d | cab=a | cac=e | cad=c | cae=b
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=e | ccb=c | ccc=a | ccd=b | cce=d
| cda=c | cdb=d | cdc=b | cdd=e | cde=a
| cea=b | ceb=e | cec=d | ced=a | cee=c
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=e | dbc=d | dbd=a | dbe=c
| dca=c | dcb=d | dcc=b | dcd=e | dce=a
| dda=d | ddb=a | ddc=e | ddd=c | dde=b
| dea=e | deb=c | dec=a | ded=b | dee=d
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=c | eab=d | eac=b | ead=e | eae=a
| eba=d | ebb=a | ebc=e | ebd=c | ebe=b
| eca=b | ecb=e | ecc=d | ecd=a | ece=c
| eda=e | edb=c | edc=a | edd=b | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A18 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
ce_,
e_c,
_ce,
dd_,
d_d,
_dd,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=c | aab=a | aac=d | aad=e | aae=b
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=d | acb=c | acc=e | acd=b | ace=a
| ada=e | adb=d | adc=b | add=a | ade=c
| aea=b | aeb=e | aec=a | aed=c | aee=d
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=e | bbc=a | bbd=c | bbe=d
| bca=c | bcb=a | bcc=d | bcd=e | bce=b
| bda=d | bdb=c | bdc=e | bdd=b | bde=a
| bea=e | beb=d | bec=b | bed=a | bee=c
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=e | cad=b | cae=a
| cba=c | cbb=a | cbc=d | cbd=e | cbe=b
| cca=e | ccb=d | ccc=b | ccd=a | cce=c
| cda=b | cdb=e | cdc=a | cdd=c | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=e | dab=d | dac=b | dad=a | dae=c
| dba=d | dbb=c | dbc=e | dbd=b | dbe=a
| dca=b | dcb=e | dcc=a | dcd=c | dce=d
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=c | deb=a | dec=d | ded=e | dee=b
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=b | eab=e | eac=a | ead=c | eae=d
| eba=e | ebb=d | ebc=b | ebd=a | ebe=c
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=c | edb=a | edc=d | edd=e | ede=b
| eea=d | eeb=c | eec=e | eed=b | eee=a
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A19 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=c | aab=a | aac=e | aad=b | aae=d
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=e | acb=c | acc=d | acd=a | ace=b
| ada=b | adb=d | adc=a | add=e | ade=c
| aea=d | aeb=e | aec=b | aed=c | aee=a
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=d | bbc=a | bbd=e | bbe=c
| bca=c | bcb=a | bcc=e | bcd=b | bce=d
| bda=d | bdb=e | bdc=b | bdd=c | bde=a
| bea=e | beb=c | bec=d | bed=a | bee=b
| b♦1=a | b♦2=a | b♦3=a
|
| caa=e | cab=c | cac=d | cad=a | cae=b
| cba=c | cbb=a | cbc=e | cbd=b | cbe=d
| cca=d | ccb=e | ccc=b | ccd=c | cce=a
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=b | ceb=d | cec=a | ced=e | cee=c
| c♦1=d | c♦2=d | c♦3=d
|
| daa=b | dab=d | dac=a | dad=e | dae=c
| dba=d | dbb=e | dbc=b | dbd=c | dbe=a
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=e | ddb=c | ddc=d | ddd=a | dde=b
| dea=c | deb=a | dec=e | ded=b | dee=d
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=d | eab=e | eac=b | ead=c | eae=a
| eba=e | ebb=c | ebc=d | ebd=a | ebe=b
| eca=b | ecb=d | ecc=a | ecd=e | ece=c
| eda=c | edb=a | edc=e | edd=b | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A20 | identities:
ae_,
e_a,
_ae,
bb_,
b_b,
_bb,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=c | aab=d | aac=b | aad=e | aae=a
| aba=d | abb=a | abc=e | abd=c | abe=b
| aca=b | acb=e | acc=d | acd=a | ace=c
| ada=e | adb=c | adc=a | add=b | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=d | bab=a | bac=e | bad=c | bae=b
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=e | bcb=c | bcc=a | bcd=b | bce=d
| bda=c | bdb=d | bdc=b | bdd=e | bde=a
| bea=b | beb=e | bec=d | bed=a | bee=c
| b♦1=b | b♦2=b | b♦3=b
|
| caa=b | cab=e | cac=d | cad=a | cae=c
| cba=e | cbb=c | cbc=a | cbd=b | cbe=d
| cca=d | ccb=a | ccc=e | ccd=c | cce=b
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=c | ceb=d | cec=b | ced=e | cee=a
| c♦1=d | c♦2=d | c♦3=d
|
| daa=e | dab=c | dac=a | dad=b | dae=d
| dba=c | dbb=d | dbc=b | dbd=e | dbe=a
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=b | ddb=e | ddc=d | ddd=a | dde=c
| dea=d | deb=a | dec=e | ded=c | dee=b
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=e | ebc=d | ebd=a | ebe=c
| eca=c | ecb=d | ecc=b | ecd=e | ece=a
| eda=d | edb=a | edc=e | edd=c | ede=b
| eea=e | eeb=c | eec=a | eed=b | eee=d
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A21 | identities:
ad_,
d_a,
_ad,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
da_,
a_d,
_da,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=c | aab=d | aac=e | aad=a | aae=b
| aba=d | abb=e | abc=a | abd=b | abe=c
| aca=e | acb=a | acc=b | acd=c | ace=d
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=b | aeb=c | aec=d | aed=e | aee=a
| a♦1=d | a♦2=d | a♦3=d
|
| baa=d | bab=e | bac=a | bad=b | bae=c
| bba=e | bbb=a | bbc=b | bbd=c | bbe=d
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=b | bdb=c | bdc=d | bdd=e | bde=a
| bea=c | beb=d | bec=e | bed=a | bee=b
| b♦1=c | b♦2=c | b♦3=c
|
| caa=e | cab=a | cac=b | cad=c | cae=d
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=b | ccb=c | ccc=d | ccd=e | cce=a
| cda=c | cdb=d | cdc=e | cdd=a | cde=b
| cea=d | ceb=e | cec=a | ced=b | cee=c
| c♦1=b | c♦2=b | c♦3=b
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=c | dbc=d | dbd=e | dbe=a
| dca=c | dcb=d | dcc=e | dcd=a | dce=b
| dda=d | ddb=e | ddc=a | ddd=b | dde=c
| dea=e | deb=a | dec=b | ded=c | dee=d
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=b | eab=c | eac=d | ead=e | eae=a
| eba=c | ebb=d | ebc=e | ebd=a | ebe=b
| eca=d | ecb=e | ecc=a | ecd=b | ece=c
| eda=e | edb=a | edc=b | edd=c | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A22 | identities:
ad_,
d_a,
_ad,
bb_,
b_b,
_bb,
ce_,
e_c,
_ce,
da_,
a_d,
_da,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=c | aab=e | aac=b | aad=a | aae=d
| aba=e | abb=a | abc=d | abd=b | abe=c
| aca=b | acb=d | acc=e | acd=c | ace=a
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=d | aeb=c | aec=a | aed=e | aee=b
| a♦1=d | a♦2=d | a♦3=d
|
| baa=e | bab=a | bac=d | bad=b | bae=c
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=d | bcb=c | bcc=a | bcd=e | bce=b
| bda=b | bdb=d | bdc=e | bdd=c | bde=a
| bea=c | beb=e | bec=b | bed=a | bee=d
| b♦1=b | b♦2=b | b♦3=b
|
| caa=b | cab=d | cac=e | cad=c | cae=a
| cba=d | cbb=c | cbc=a | cbd=e | cbe=b
| cca=e | ccb=a | ccc=d | ccd=b | cce=c
| cda=c | cdb=e | cdc=b | cdd=a | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=d | dbc=e | dbd=c | dbe=a
| dca=c | dcb=e | dcc=b | dcd=a | dce=d
| dda=d | ddb=c | ddc=a | ddd=e | dde=b
| dea=e | deb=a | dec=d | ded=b | dee=c
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=d | eab=c | eac=a | ead=e | eae=b
| eba=c | ebb=e | ebc=b | ebd=a | ebe=d
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=e | edb=a | edc=d | edd=b | ede=c
| eea=b | eeb=d | eec=e | eed=c | eee=a
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A23 | identities:
ae_,
e_a,
_ae,
bc_,
c_b,
_bc,
cb_,
b_c,
_cb,
dd_,
d_d,
_dd,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=c | aab=e | aac=d | aad=b | aae=a
| aba=e | abb=d | abc=a | abd=c | abe=b
| aca=d | acb=a | acc=b | acd=e | ace=c
| ada=b | adb=c | adc=e | add=a | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=e | bab=d | bac=a | bad=c | bae=b
| bba=d | bbb=a | bbc=b | bbd=e | bbe=c
| bca=a | bcb=b | bcc=c | bcd=d | bce=e
| bda=c | bdb=e | bdc=d | bdd=b | bde=a
| bea=b | beb=c | bec=e | bed=a | bee=d
| b♦1=c | b♦2=c | b♦3=c
|
| caa=d | cab=a | cac=b | cad=e | cae=c
| cba=a | cbb=b | cbc=c | cbd=d | cbe=e
| cca=b | ccb=c | ccc=e | ccd=a | cce=d
| cda=e | cdb=d | cdc=a | cdd=c | cde=b
| cea=c | ceb=e | cec=d | ced=b | cee=a
| c♦1=b | c♦2=b | c♦3=b
|
| daa=b | dab=c | dac=e | dad=a | dae=d
| dba=c | dbb=e | dbc=d | dbd=b | dbe=a
| dca=e | dcb=d | dcc=a | dcd=c | dce=b
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=d | deb=a | dec=b | ded=e | dee=c
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=c | ebc=e | ebd=a | ebe=d
| eca=c | ecb=e | ecc=d | ecd=b | ece=a
| eda=d | edb=a | edc=b | edd=e | ede=c
| eea=e | eeb=d | eec=a | eed=c | eee=b
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A24 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=d | aab=a | aac=b | aad=e | aae=c
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=b | acb=c | acc=e | acd=a | ace=d
| ada=e | adb=d | adc=a | add=c | ade=b
| aea=c | aeb=e | aec=d | aed=b | aee=a
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=c | bbc=e | bbd=a | bbe=d
| bca=c | bcb=e | bcc=d | bcd=b | bce=a
| bda=d | bdb=a | bdc=b | bdd=e | bde=c
| bea=e | beb=d | bec=a | bed=c | bee=b
| b♦1=a | b♦2=a | b♦3=a
|
| caa=b | cab=c | cac=e | cad=a | cae=d
| cba=c | cbb=e | cbc=d | cbd=b | cbe=a
| cca=e | ccb=d | ccc=a | ccd=c | cce=b
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=d | ceb=a | cec=b | ced=e | cee=c
| c♦1=d | c♦2=d | c♦3=d
|
| daa=e | dab=d | dac=a | dad=c | dae=b
| dba=d | dbb=a | dbc=b | dbd=e | dbe=c
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=c | ddb=e | ddc=d | ddd=b | dde=a
| dea=b | deb=c | dec=e | ded=a | dee=d
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=c | eab=e | eac=d | ead=b | eae=a
| eba=e | ebb=d | ebc=a | ebd=c | ebe=b
| eca=d | ecb=a | ecc=b | ecd=e | ece=c
| eda=b | edb=c | edc=e | edd=a | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A25 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cc_,
c_c,
_cc,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=d | aab=a | aac=e | aad=c | aae=b
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=e | acb=c | acc=a | acd=b | ace=d
| ada=c | adb=d | adc=b | add=e | ade=a
| aea=b | aeb=e | aec=d | aed=a | aee=c
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=e | bbc=d | bbd=a | bbe=c
| bca=c | bcb=d | bcc=b | bcd=e | bce=a
| bda=d | bdb=a | bdc=e | bdd=c | bde=b
| bea=e | beb=c | bec=a | bed=b | bee=d
| b♦1=a | b♦2=a | b♦3=a
|
| caa=e | cab=c | cac=a | cad=b | cae=d
| cba=c | cbb=d | cbc=b | cbd=e | cbe=a
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=b | cdb=e | cdc=d | cdd=a | cde=c
| cea=d | ceb=a | cec=e | ced=c | cee=b
| c♦1=c | c♦2=c | c♦3=c
|
| daa=c | dab=d | dac=b | dad=e | dae=a
| dba=d | dbb=a | dbc=e | dbd=c | dbe=b
| dca=b | dcb=e | dcc=d | dcd=a | dce=c
| dda=e | ddb=c | ddc=a | ddd=b | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=b | eab=e | eac=d | ead=a | eae=c
| eba=e | ebb=c | ebc=a | ebd=b | ebe=d
| eca=d | ecb=a | ecc=e | ecd=c | ece=b
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=c | eeb=d | eec=b | eed=e | eee=a
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A26 | identities:
ac_,
c_a,
_ac,
bd_,
d_b,
_bd,
ca_,
a_c,
_ca,
db_,
b_d,
_db,
ee_,
e_e,
_ee
| | skews
|
|---|
| aaa=d | aab=c | aac=a | aad=e | aae=b
| aba=c | abb=e | abc=b | abd=a | abe=d
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=e | adb=a | adc=d | add=b | ade=c
| aea=b | aeb=d | aec=e | aed=c | aee=a
| a♦1=c | a♦2=c | a♦3=c
|
| baa=c | bab=e | bac=b | bad=a | bae=d
| bba=e | bbb=a | bbc=d | bbd=b | bbe=c
| bca=b | bcb=d | bcc=e | bcd=c | bce=a
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=d | beb=c | bec=a | bed=e | bee=b
| b♦1=d | b♦2=d | b♦3=d
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=d | cbc=e | cbd=c | cbe=a
| cca=c | ccb=e | ccc=b | ccd=a | cce=d
| cda=d | cdb=c | cdc=a | cdd=e | cde=b
| cea=e | ceb=a | cec=d | ced=b | cee=c
| c♦1=a | c♦2=a | c♦3=a
|
| daa=e | dab=a | dac=d | dad=b | dae=c
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=d | dcb=c | dcc=a | dcd=e | dce=b
| dda=b | ddb=d | ddc=e | ddd=c | dde=a
| dea=c | deb=e | dec=b | ded=a | dee=d
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=b | eab=d | eac=e | ead=c | eae=a
| eba=d | ebb=c | ebc=a | ebd=e | ebe=b
| eca=e | ecb=a | ecc=d | ecd=b | ece=c
| eda=c | edb=e | edc=b | edd=a | ede=d
| eea=a | eeb=b | eec=c | eed=d | eee=e
| e♦1=e | e♦2=e | e♦3=e
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A27 | identities:
ae_,
e_a,
_ae,
bb_,
b_b,
_bb,
cd_,
d_c,
_cd,
dc_,
c_d,
_dc,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=d | aab=c | aac=e | aad=b | aae=a
| aba=c | abb=a | abc=d | abd=e | abe=b
| aca=e | acb=d | acc=b | acd=a | ace=c
| ada=b | adb=e | adc=a | add=c | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=c | bab=a | bac=d | bad=e | bae=b
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=d | bcb=c | bcc=e | bcd=b | bce=a
| bda=e | bdb=d | bdc=b | bdd=a | bde=c
| bea=b | beb=e | bec=a | bed=c | bee=d
| b♦1=b | b♦2=b | b♦3=b
|
| caa=e | cab=d | cac=b | cad=a | cae=c
| cba=d | cbb=c | cbc=e | cbd=b | cbe=a
| cca=b | ccb=e | ccc=a | ccd=c | cce=d
| cda=a | cdb=b | cdc=c | cdd=d | cde=e
| cea=c | ceb=a | cec=d | ced=e | cee=b
| c♦1=d | c♦2=d | c♦3=d
|
| daa=b | dab=e | dac=a | dad=c | dae=d
| dba=e | dbb=d | dbc=b | dbd=a | dbe=c
| dca=a | dcb=b | dcc=c | dcd=d | dce=e
| dda=c | ddb=a | ddc=d | ddd=e | dde=b
| dea=d | deb=c | dec=e | ded=b | dee=a
| d♦1=c | d♦2=c | d♦3=c
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=e | ebc=a | ebd=c | ebe=d
| eca=c | ecb=a | ecc=d | ecd=e | ece=b
| eda=d | edb=c | edc=e | edd=b | ede=a
| eea=e | eeb=d | eec=b | eed=a | eee=c
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A28 | identities:
ac_,
c_a,
_ac,
bb_,
b_b,
_bb,
ca_,
a_c,
_ca,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=d | aab=e | aac=a | aad=b | aae=c
| aba=e | abb=a | abc=b | abd=c | abe=d
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=b | adb=c | adc=d | add=e | ade=a
| aea=c | aeb=d | aec=e | aed=a | aee=b
| a♦1=c | a♦2=c | a♦3=c
|
| baa=e | bab=a | bac=b | bad=c | bae=d
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=b | bcb=c | bcc=d | bcd=e | bce=a
| bda=c | bdb=d | bdc=e | bdd=a | bde=b
| bea=d | beb=e | bec=a | bed=b | bee=c
| b♦1=b | b♦2=b | b♦3=b
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=c | cbc=d | cbd=e | cbe=a
| cca=c | ccb=d | ccc=e | ccd=a | cce=b
| cda=d | cdb=e | cdc=a | cdd=b | cde=c
| cea=e | ceb=a | cec=b | ced=c | cee=d
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=c | dac=d | dad=e | dae=a
| dba=c | dbb=d | dbc=e | dbd=a | dbe=b
| dca=d | dcb=e | dcc=a | dcd=b | dce=c
| dda=e | ddb=a | ddc=b | ddd=c | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=c | eab=d | eac=e | ead=a | eae=b
| eba=d | ebb=e | ebc=a | ebd=b | ebe=c
| eca=e | ecb=a | ecc=b | ecd=c | ece=d
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=b | eeb=c | eec=d | eed=e | eee=a
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A29 | identities:
ae_,
e_a,
_ae,
bd_,
d_b,
_bd,
cc_,
c_c,
_cc,
db_,
b_d,
_db,
ea_,
a_e,
_ea
| | skews
|
|---|
| aaa=d | aab=e | aac=b | aad=c | aae=a
| aba=e | abb=c | abc=d | abd=a | abe=b
| aca=b | acb=d | acc=a | acd=e | ace=c
| ada=c | adb=a | adc=e | add=b | ade=d
| aea=a | aeb=b | aec=c | aed=d | aee=e
| a♦1=e | a♦2=e | a♦3=e
|
| baa=e | bab=c | bac=d | bad=a | bae=b
| bba=c | bbb=a | bbc=e | bbd=b | bbe=d
| bca=d | bcb=e | bcc=b | bcd=c | bce=a
| bda=a | bdb=b | bdc=c | bdd=d | bde=e
| bea=b | beb=d | bec=a | bed=e | bee=c
| b♦1=d | b♦2=d | b♦3=d
|
| caa=b | cab=d | cac=a | cad=e | cae=c
| cba=d | cbb=e | cbc=b | cbd=c | cbe=a
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=e | cdb=c | cdc=d | cdd=a | cde=b
| cea=c | ceb=a | cec=e | ced=b | cee=d
| c♦1=c | c♦2=c | c♦3=c
|
| daa=c | dab=a | dac=e | dad=b | dae=d
| dba=a | dbb=b | dbc=c | dbd=d | dbe=e
| dca=e | dcb=c | dcc=d | dcd=a | dce=b
| dda=b | ddb=d | ddc=a | ddd=e | dde=c
| dea=d | deb=e | dec=b | ded=c | dee=a
| d♦1=b | d♦2=b | d♦3=b
|
| eaa=a | eab=b | eac=c | ead=d | eae=e
| eba=b | ebb=d | ebc=a | ebd=e | ebe=c
| eca=c | ecb=a | ecc=e | ecd=b | ece=d
| eda=d | edb=e | edc=b | edd=c | ede=a
| eea=e | eeb=c | eec=d | eed=a | eee=b
| e♦1=a | e♦2=a | e♦3=a
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A30 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
ce_,
e_c,
_ce,
dd_,
d_d,
_dd,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=e | aab=a | aac=b | aad=c | aae=d
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=b | acb=c | acc=d | acd=e | ace=a
| ada=c | adb=d | adc=e | add=a | ade=b
| aea=d | aeb=e | aec=a | aed=b | aee=c
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=c | bbc=d | bbd=e | bbe=a
| bca=c | bcb=d | bcc=e | bcd=a | bce=b
| bda=d | bdb=e | bdc=a | bdd=b | bde=c
| bea=e | beb=a | bec=b | bed=c | bee=d
| b♦1=a | b♦2=a | b♦3=a
|
| caa=b | cab=c | cac=d | cad=e | cae=a
| cba=c | cbb=d | cbc=e | cbd=a | cbe=b
| cca=d | ccb=e | ccc=a | ccd=b | cce=c
| cda=e | cdb=a | cdc=b | cdd=c | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=c | dab=d | dac=e | dad=a | dae=b
| dba=d | dbb=e | dbc=a | dbd=b | dbe=c
| dca=e | dcb=a | dcc=b | dcd=c | dce=d
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=b | deb=c | dec=d | ded=e | dee=a
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=d | eab=e | eac=a | ead=b | eae=c
| eba=e | ebb=a | ebc=b | ebd=c | ebe=d
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=b | edb=c | edc=d | edd=e | ede=a
| eea=c | eeb=d | eec=e | eed=a | eee=b
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A31 | identities:
ab_,
b_a,
_ab,
ba_,
a_b,
_ba,
cc_,
c_c,
_cc,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=e | aab=a | aac=d | aad=b | aae=c
| aba=a | abb=b | abc=c | abd=d | abe=e
| aca=d | acb=c | acc=a | acd=e | ace=b
| ada=b | adb=d | adc=e | add=c | ade=a
| aea=c | aeb=e | aec=b | aed=a | aee=d
| a♦1=b | a♦2=b | a♦3=b
|
| baa=a | bab=b | bac=c | bad=d | bae=e
| bba=b | bbb=d | bbc=e | bbd=c | bbe=a
| bca=c | bcb=e | bcc=b | bcd=a | bce=d
| bda=d | bdb=c | bdc=a | bdd=e | bde=b
| bea=e | beb=a | bec=d | bed=b | bee=c
| b♦1=a | b♦2=a | b♦3=a
|
| caa=d | cab=c | cac=a | cad=e | cae=b
| cba=c | cbb=e | cbc=b | cbd=a | cbe=d
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=e | cdb=a | cdc=d | cdd=b | cde=c
| cea=b | ceb=d | cec=e | ced=c | cee=a
| c♦1=c | c♦2=c | c♦3=c
|
| daa=b | dab=d | dac=e | dad=c | dae=a
| dba=d | dbb=c | dbc=a | dbd=e | dbe=b
| dca=e | dcb=a | dcc=d | dcd=b | dce=c
| dda=c | ddb=e | ddc=b | ddd=a | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=c | eab=e | eac=b | ead=a | eae=d
| eba=e | ebb=a | ebc=d | ebd=b | ebe=c
| eca=b | ecb=d | ecc=e | ecd=c | ece=a
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=d | eeb=c | eec=a | eed=e | eee=b
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A32 | identities:
ac_,
c_a,
_ac,
be_,
e_b,
_be,
ca_,
a_c,
_ca,
dd_,
d_d,
_dd,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=e | aab=c | aac=a | aad=b | aae=d
| aba=c | abb=d | abc=b | abd=e | abe=a
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=b | adb=e | adc=d | add=a | ade=c
| aea=d | aeb=a | aec=e | aed=c | aee=b
| a♦1=c | a♦2=c | a♦3=c
|
| baa=c | bab=d | bac=b | bad=e | bae=a
| bba=d | bbb=a | bbc=e | bbd=c | bbe=b
| bca=b | bcb=e | bcc=d | bcd=a | bce=c
| bda=e | bdb=c | bdc=a | bdd=b | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=e | cbc=d | cbd=a | cbe=c
| cca=c | ccb=d | ccc=b | ccd=e | cce=a
| cda=d | cdb=a | cdc=e | cdd=c | cde=b
| cea=e | ceb=c | cec=a | ced=b | cee=d
| c♦1=a | c♦2=a | c♦3=a
|
| daa=b | dab=e | dac=d | dad=a | dae=c
| dba=e | dbb=c | dbc=a | dbd=b | dbe=d
| dca=d | dcb=a | dcc=e | dcd=c | dce=b
| dda=a | ddb=b | ddc=c | ddd=d | dde=e
| dea=c | deb=d | dec=b | ded=e | dee=a
| d♦1=d | d♦2=d | d♦3=d
|
| eaa=d | eab=a | eac=e | ead=c | eae=b
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=e | ecb=c | ecc=a | ecd=b | ece=d
| eda=c | edb=d | edc=b | edd=e | ede=a
| eea=b | eeb=e | eec=d | eed=a | eee=c
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A33 | identities:
ad_,
d_a,
_ad,
bb_,
b_b,
_bb,
ce_,
e_c,
_ce,
da_,
a_d,
_da,
ec_,
c_e,
_ec
| | skews
|
|---|
| aaa=e | aab=c | aac=d | aad=a | aae=b
| aba=c | abb=a | abc=e | abd=b | abe=d
| aca=d | acb=e | acc=b | acd=c | ace=a
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=b | aeb=d | aec=a | aed=e | aee=c
| a♦1=d | a♦2=d | a♦3=d
|
| baa=c | bab=a | bac=e | bad=b | bae=d
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=e | bcb=c | bcc=d | bcd=a | bce=b
| bda=b | bdb=d | bdc=a | bdd=e | bde=c
| bea=d | beb=e | bec=b | bed=c | bee=a
| b♦1=b | b♦2=b | b♦3=b
|
| caa=d | cab=e | cac=b | cad=c | cae=a
| cba=e | cbb=c | cbc=d | cbd=a | cbe=b
| cca=b | ccb=d | ccc=a | ccd=e | cce=c
| cda=c | cdb=a | cdc=e | cdd=b | cde=d
| cea=a | ceb=b | cec=c | ced=d | cee=e
| c♦1=e | c♦2=e | c♦3=e
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=d | dbc=a | dbd=e | dbe=c
| dca=c | dcb=a | dcc=e | dcd=b | dce=d
| dda=d | ddb=e | ddc=b | ddd=c | dde=a
| dea=e | deb=c | dec=d | ded=a | dee=b
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=b | eab=d | eac=a | ead=e | eae=c
| eba=d | ebb=e | ebc=b | ebd=c | ebe=a
| eca=a | ecb=b | ecc=c | ecd=d | ece=e
| eda=e | edb=c | edc=d | edd=a | ede=b
| eea=c | eeb=a | eec=e | eed=b | eee=d
| e♦1=c | e♦2=c | e♦3=c
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A34 | identities:
ac_,
c_a,
_ac,
bb_,
b_b,
_bb,
ca_,
a_c,
_ca,
de_,
e_d,
_de,
ed_,
d_e,
_ed
| | skews
|
|---|
| aaa=e | aab=d | aac=a | aad=c | aae=b
| aba=d | abb=a | abc=b | abd=e | abe=c
| aca=a | acb=b | acc=c | acd=d | ace=e
| ada=c | adb=e | adc=d | add=b | ade=a
| aea=b | aeb=c | aec=e | aed=a | aee=d
| a♦1=c | a♦2=c | a♦3=c
|
| baa=d | bab=a | bac=b | bad=e | bae=c
| bba=a | bbb=b | bbc=c | bbd=d | bbe=e
| bca=b | bcb=c | bcc=e | bcd=a | bce=d
| bda=e | bdb=d | bdc=a | bdd=c | bde=b
| bea=c | beb=e | bec=d | bed=b | bee=a
| b♦1=b | b♦2=b | b♦3=b
|
| caa=a | cab=b | cac=c | cad=d | cae=e
| cba=b | cbb=c | cbc=e | cbd=a | cbe=d
| cca=c | ccb=e | ccc=d | ccd=b | cce=a
| cda=d | cdb=a | cdc=b | cdd=e | cde=c
| cea=e | ceb=d | cec=a | ced=c | cee=b
| c♦1=a | c♦2=a | c♦3=a
|
| daa=c | dab=e | dac=d | dad=b | dae=a
| dba=e | dbb=d | dbc=a | dbd=c | dbe=b
| dca=d | dcb=a | dcc=b | dcd=e | dce=c
| dda=b | ddb=c | ddc=e | ddd=a | dde=d
| dea=a | deb=b | dec=c | ded=d | dee=e
| d♦1=e | d♦2=e | d♦3=e
|
| eaa=b | eab=c | eac=e | ead=a | eae=d
| eba=c | ebb=e | ebc=d | ebd=b | ebe=a
| eca=e | ecb=d | ecc=a | ecd=c | ece=b
| eda=a | edb=b | edc=c | edd=d | ede=e
| eea=d | eeb=a | eec=b | eed=e | eee=c
| e♦1=d | e♦2=d | e♦3=d
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|
| 5:A35 | identities:
ad_,
d_a,
_ad,
be_,
e_b,
_be,
cc_,
c_c,
_cc,
da_,
a_d,
_da,
eb_,
b_e,
_eb
| | skews
|
|---|
| aaa=e | aab=d | aac=b | aad=a | aae=c
| aba=d | abb=c | abc=e | abd=b | abe=a
| aca=b | acb=e | acc=a | acd=c | ace=d
| ada=a | adb=b | adc=c | add=d | ade=e
| aea=c | aeb=a | aec=d | aed=e | aee=b
| a♦1=d | a♦2=d | a♦3=d
|
| baa=d | bab=c | bac=e | bad=b | bae=a
| bba=c | bbb=a | bbc=d | bbd=e | bbe=b
| bca=e | bcb=d | bcc=b | bcd=a | bce=c
| bda=b | bdb=e | bdc=a | bdd=c | bde=d
| bea=a | beb=b | bec=c | bed=d | bee=e
| b♦1=e | b♦2=e | b♦3=e
|
| caa=b | cab=e | cac=a | cad=c | cae=d
| cba=e | cbb=d | cbc=b | cbd=a | cbe=c
| cca=a | ccb=b | ccc=c | ccd=d | cce=e
| cda=c | cdb=a | cdc=d | cdd=e | cde=b
| cea=d | ceb=c | cec=e | ced=b | cee=a
| c♦1=c | c♦2=c | c♦3=c
|
| daa=a | dab=b | dac=c | dad=d | dae=e
| dba=b | dbb=e | dbc=a | dbd=c | dbe=d
| dca=c | dcb=a | dcc=d | dcd=e | dce=b
| dda=d | ddb=c | ddc=e | ddd=b | dde=a
| dea=e | deb=d | dec=b | ded=a | dee=c
| d♦1=a | d♦2=a | d♦3=a
|
| eaa=c | eab=a | eac=d | ead=e | eae=b
| eba=a | ebb=b | ebc=c | ebd=d | ebe=e
| eca=d | ecb=c | ecc=e | ecd=b | ece=a
| eda=e | edb=d | edc=b | edd=a | ede=c
| eea=b | eeb=e | eec=a | eed=c | eee=d
| e♦1=b | e♦2=b | e♦3=b
|
| c'ty full — a'ty full — self-d'ty none — m'ty true
| all invertible
|