Below are some of the fully associative ternary quasigroups.

• For C ≤ 4, all are listed.
• For C = 5, only those with identities aa_ and _aa are included.

 1:0 identities:   aa_,   a_a,   _aa aaa = a c'ty full — a'ty full — self-d'ty full

 2:0 identities:   aa_,   a_a,   _aa,   bb_,   b_b,   _bb aaa = a aab = b aba = b abb = a baa = b bab = a bba = a bbb = b c'ty full — a'ty full — self-d'ty full

 2:1 identities:   ab_,   ba_,   a_b,   b_a,   _ab,   _ba aaa = b aab = a aba = a abb = b baa = a bab = b bba = b bbb = a c'ty full — a'ty full — self-d'ty full

 3:0 identities:   aa_,   a_a,   _aa,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb aaa = a aab = b aac = c aba = b abb = c abc = a aca = c acb = a acc = b baa = b bab = c bac = a bba = c bbb = a bbc = b bca = a bcb = b bcc = c caa = c cab = a cac = b cba = a cbb = b cbc = c cca = b ccb = c ccc = a c'ty full — a'ty full — self-d'ty none

 3:2 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc aaa = a aab = b aac = c aba = c abb = a abc = b aca = b acb = c acc = a baa = b bab = c bac = a bba = a bbb = b bbc = c bca = c bcb = a bcc = b caa = c cab = a cac = b cba = b cbb = c cbc = a cca = a ccb = b ccc = c c'ty exterior — a'ty full — self-d'ty full

 3:15 identities:   bb_,   b_b,   _bb,   ac_,   ca_,   a_c,   c_a,   _ac,   _ca aaa = b aab = c aac = a aba = c abb = a abc = b aca = a acb = b acc = c baa = c bab = a bac = b bba = a bbb = b bbc = c bca = b bcb = c bcc = a caa = a cab = b cac = c cba = b cbb = c cbc = a cca = c ccb = a ccc = b c'ty full — a'ty full — self-d'ty none

 3:16 identities:   cc_,   c_c,   _cc,   ab_,   ba_,   a_b,   b_a,   _ab,   _ba aaa = c aab = a aac = b aba = a abb = b abc = c aca = b acb = c acc = a baa = a bab = b bac = c bba = b bbb = c bbc = a bca = c bcb = a bcc = b caa = b cab = c cac = a cba = c cbb = a cbc = b cca = a ccb = b ccc = c c'ty full — a'ty full — self-d'ty none

 4:0 identities:   aa_,   a_a,   _aa,   bb_,   b_b,   _bb,   cc_,   c_c,   _cc,   dd_,   d_d,   _dd 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 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 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 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 c'ty full — a'ty full — self-d'ty full

 4:139 identities:   aa_,   a_a,   _aa,   bb_,   b_b,   _bb,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:220 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:303 identities:   aa_,   _aa,   bb_,   _bb,   cd_,   dc_,   _cd,   _dc 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:452 identities:   aa_,   a_a,   _aa,   cc_,   c_c,   _cc,   bd_,   db_,   b_d,   d_b,   _bd,   _db 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:626 identities:   aa_,   a_a,   _aa,   dd_,   d_d,   _dd,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:784 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:942 identities:   aa_,   _aa,   dd_,   _dd,   bc_,   cb_,   _bc,   _cb 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:1632 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:2187 identities:   aa_,   _aa,   cc_,   _cc,   bd_,   db_,   _bd,   _db 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:16140 identities:   cc_,   _cc,   dd_,   _dd,   ab_,   ba_,   _ab,   _ba 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:16271 identities:   ab_,   ba_,   _ab,   _ba,   cd_,   dc_,   _cd,   _dc 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:16352 identities:   cc_,   c_c,   _cc,   dd_,   d_d,   _dd,   ab_,   ba_,   a_b,   b_a,   _ab,   _ba 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:16443 identities:   ab_,   ba_,   a_b,   b_a,   _ab,   _ba,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 c'ty full — a'ty full — self-d'ty full

 4:22241 identities:   ad_,   da_,   a_d,   d_a,   _ad,   _da,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:25256 identities:   ac_,   ca_,   a_c,   c_a,   _ac,   _ca,   bd_,   db_,   b_d,   d_b,   _bd,   _db 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:30039 identities:   ab_,   ba_,   a_b,   b_a,   _ab,   _ba,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:37907 identities:   bb_,   _bb,   dd_,   _dd,   ac_,   ca_,   _ac,   _ca 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:38298 identities:   ac_,   ca_,   _ac,   _ca,   bd_,   db_,   _bd,   _db 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:38456 identities:   bb_,   b_b,   _bb,   dd_,   d_d,   _dd,   ac_,   ca_,   a_c,   c_a,   _ac,   _ca 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:38852 identities:   ac_,   ca_,   a_c,   c_a,   _ac,   _ca,   bd_,   db_,   b_d,   d_b,   _bd,   _db 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 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 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 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 c'ty full — a'ty full — self-d'ty full

 4:41470 identities:   ad_,   da_,   a_d,   d_a,   _ad,   _da,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:41474 identities:   ab_,   ba_,   a_b,   b_a,   _ab,   _ba,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:52629 identities:   ac_,   ca_,   a_c,   c_a,   _ac,   _ca,   bd_,   db_,   b_d,   d_b,   _bd,   _db 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:54353 identities:   bb_,   _bb,   cc_,   _cc,   ad_,   da_,   _ad,   _da 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 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 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 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 c'ty exterior — a'ty full — self-d'ty none

 4:54511 identities:   ad_,   da_,   _ad,   _da,   bc_,   cb_,   _bc,   _cb 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 4:54669 identities:   bb_,   b_b,   _bb,   cc_,   c_c,   _cc,   ad_,   da_,   a_d,   d_a,   _ad,   _da 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 4:55295 identities:   ad_,   da_,   a_d,   d_a,   _ad,   _da,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb 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 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 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 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 c'ty full — a'ty full — self-d'ty full

 5:1263210 identities:   aa_,   a_a,   _aa,   be_,   eb_,   b_e,   e_b,   _be,   _eb,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:1997442 identities:   aa_,   a_a,   _aa,   bd_,   db_,   b_d,   d_b,   _bd,   _db,   ce_,   ec_,   c_e,   e_c,   _ce,   _ec 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:2465928 identities:   aa_,   a_a,   _aa,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb,   de_,   ed_,   d_e,   e_d,   _de,   _ed 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:3632028 identities:   aa_,   a_a,   _aa,   be_,   eb_,   b_e,   e_b,   _be,   _eb,   cd_,   dc_,   c_d,   d_c,   _cd,   _dc 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:4133886 identities:   aa_,   a_a,   _aa,   bc_,   cb_,   b_c,   c_b,   _bc,   _cb,   de_,   ed_,   d_e,   e_d,   _de,   _ed 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:4901088 identities:   aa_,   a_a,   _aa,   bd_,   db_,   b_d,   d_b,   _bd,   _db,   ce_,   ec_,   c_e,   e_c,   _ce,   _ec 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 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 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 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 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 c'ty full — a'ty full — self-d'ty none

 5:6386440 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 5:6918922 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 5:12180956 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 5:13050082 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 5:17998292 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full

 5:18468178 identities:   aa_,   _aa,   bb_,   _bb,   cc_,   _cc,   dd_,   _dd,   ee_,   _ee 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 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 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 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 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 c'ty exterior — a'ty full — self-d'ty full