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Boolf prop/3-ary

From Wikiversity
Studies of Boolean functions
# integer partition properties
2 [8, 1, 248, 1]18 + 1248 is conjunction
2 [8, 1, 248, 1]18 + 1248 is reverse conjunction
2 [9, 1, 247, 1]19 + 1247 is stamp
2 [16, 1, 240, 1]116 + 1240 is noble
2 [16, 1, 240, 1]116 + 1240 is linear
2 [16, 1, 240, 1]116 + 1240 is self-dual
2 [16, 1, 240, 1]116 + 1240 is seal
2 [16, 1, 240, 1]116 + 1240 is seal twin
2 [20, 1, 236, 1]120 + 1236 is monotonic
2 [24, 1, 232, 1]124 + 1232 is dense
2 [43, 1, 213, 1]143 + 1213 is seal patron junior
2 [47, 1, 209, 1]147 + 1209 is stamp related
2 [51, 1, 205, 1]151 + 1205 is seal related
2 [57, 1, 199, 1]157 + 1199 is oddacious
2 [62, 1, 194, 1]162 + 1194 is blotless
2 [64, 1, 192, 1]164 + 1192 great quaestor dominion
2 [64, 1, 192, 1]164 + 1192 great quaestor sword dominion
2 [66, 1, 190, 1]166 + 1190 is bloatless
2 [70, 1, 186, 1]170 + 1186 is balanced•openness (family and clan ploidy)•
2 [79, 1, 177, 1]179 + 1177 is seal twin related
2 [85, 1, 171, 1]185 + 1171 is seal patron junior related
2 [96, 1, 160, 1]196 + 1160 is blightless
2 [96, 1, 160, 1]196 + 1160 is crested
2 [97, 1, 159, 1]197 + 1159 is male
2 [104, 1, 152, 1]1104 + 1152 is in monotonic equivalence class
2 [128, 2]2128 is acute
2 [128, 2]2128 is odd•uniform 0•
2 [128, 2]2128 is odious
2 [128, 2]2128 is ugly
2 [128, 2]2128 is rough
2 [128, 2]2128 is sharp•uniform 3•
2 [128, 2]2128 is solid
2 [128, 2]2128 twin prefect oddness•Zhegalkin deviation patron•
2 [128, 2]2128 Zhegalkin deviation is odious
2 [128, 2]2128 is rude
2 [128, 2]2128 prefect oddness
2 [128, 2]2128 badge parity
2 [128, 2]2128 badge depravity
2 [128, 2]2128 sub-prefect oddness
2 [128, 2]2128 consultor prefect is odd
3 [16, 1, 48, 1, 192, 1]116 + 148 + 1192 sphinx boolf clan
3 [16, 1, 48, 1, 192, 1]116 + 148 + 1192 sphinx shadow count
3 [16, 1, 96, 1, 144, 1]116 + 196 + 1144 faction size
3 [16, 1, 112, 1, 128, 1]116 + 1112 + 1128 nonlinearity
3 [40, 1, 57, 1, 159, 1]140 + 157 + 1159 oddacity & gender
3 [58, 1, 70, 1, 128, 1]158 + 170 + 1128 sharpness and family ploidy
3 [64, 2, 128, 1]264 + 1128 sharp counselor oddness
3 [80, 2, 96, 1]280 + 196 super great crest
4 [2, 1, 6, 1, 30, 1, 218, 1]12 + 16 + 130 + 1218 valency
4 [2, 1, 6, 1, 30, 1, 218, 1]12 + 16 + 130 + 1218 soft gravity•soft legion faction••soft legion weight•
4 [2, 1, 14, 1, 56, 1, 184, 1]12 + 114 + 156 + 1184 strength•family size•
4 [2, 1, 14, 1, 56, 1, 184, 1]12 + 114 + 156 + 1184 soft depth•soft cohort weight•
4 [2, 2, 12, 1, 240, 1]22 + 112 + 1240 adicity
4 [4, 1, 28, 2, 196, 1]14 + 228 + 1196 twin-chunky twist partition
4 [16, 1, 48, 2, 144, 1]116 + 248 + 1144 lamb wolf lion partitions meet
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 0 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 1 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 2 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 0 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 2 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 0 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 1 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 2 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 01 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 02 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 12 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 01 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 02 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 12 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 012 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 01 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 02 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 12 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lion 012 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 lamb 012 super clan
4 [32, 2, 64, 1, 128, 1]232 + 164 + 1128 wolf 1 super clan
4 [32, 2, 96, 2]232 + 296 quaestor sword dominion
4 [32, 2, 96, 2]232 + 296 great patron dominion
4 [32, 2, 96, 2]232 + 296 great patron principality
4 [32, 2, 96, 2]232 + 296 consul weight•sorted lion consul weights•
4 [32, 2, 96, 2]232 + 296 badge weight
4 [32, 2, 96, 2]232 + 296 reverse splice super faction
4 [32, 2, 96, 2]232 + 296 consultor prefect super faction
4 [64, 4]464 great patron•patron tiling and slatting••patron symmetry perm•
4 [64, 4]464 great quaestor•quaestor tiling and slatting••twist xors 2•
4 [64, 4]464 great sigbadge
4 [64, 4]464 great praetor
4 [64, 4]464 quadrant
4 [64, 4]464 lictor
4 [64, 4]464 lictor sword
4 [64, 4]464 reverse splice XOR quaestor twin•praetor shield•
4 [64, 4]464 reverse lictor
4 [64, 4]464 nameless 5
4 [64, 4]464 weight quadrant
4 [64, 4]464 lector splice•mentor splice•
4 [64, 4]464 patron index consul
4 [64, 4]464 serration 2 (half sharpness)
4 [64, 4]464 lion XOR super
4 [64, 4]464 sharp & ugly•acute & ugly••sharp & acute•
5 [1, 1, 15, 1, 48, 1, 64, 1, 128, 1]11 + 115 + 148 + 164 + 1128 serration size
5 [1, 1, 16, 1, 49, 1, 78, 1, 112, 1]11 + 116 + 149 + 178 + 1112 twist partition size
5 [1, 2, 6, 1, 30, 1, 218, 1]21 + 16 + 130 + 1218 gravity•legion weight••legion faction•
5 [1, 2, 14, 1, 56, 1, 184, 1]21 + 114 + 156 + 1184 depth•cohort weight•
5 [1, 2, 14, 1, 112, 1, 128, 1]21 + 114 + 1112 + 1128 twist level
5 [2, 1, 6, 1, 8, 1, 24, 1, 216, 1]12 + 16 + 18 + 124 + 1216 linear lion stamp faction
5 [2, 1, 6, 1, 8, 1, 24, 1, 216, 1]12 + 16 + 18 + 124 + 1216 symmetry neg stamp faction
5 [2, 2, 56, 2, 140, 1]22 + 256 + 1140 changes
5 [3, 1, 9, 1, 27, 2, 190, 1]13 + 19 + 227 + 1190 bloat faction
5 [16, 1, 48, 3, 96, 1]116 + 348 + 196 symmetry perm•symmetry perm indices••lamb wolf lion partitions sorted••lamb wolf lion partitions join•
5 [16, 2, 48, 2, 128, 1]216 + 248 + 1128 blunt consul weight•sorted lion super clans••sorted lion blunt consul weights•
5 [16, 2, 48, 2, 128, 1]216 + 248 + 1128 lion partition
5 [16, 2, 48, 2, 128, 1]216 + 248 + 1128 lamb partition
5 [16, 2, 48, 2, 128, 1]216 + 248 + 1128 wolf partition
5 [16, 2, 48, 2, 128, 1]216 + 248 + 1128 sharp counselor weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 quaestor weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 praetor weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 patron index weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 sub-prefect weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 Zhegalkin deviation weight
5 [16, 2, 64, 2, 96, 1]216 + 264 + 196 quaestor twin weight
5 [16, 4, 192, 1]416 + 1192 sphinx shadow places
5 [32, 4, 128, 1]432 + 1128 lion 0 super family
5 [32, 4, 128, 1]432 + 1128 lion 1 super family
5 [32, 4, 128, 1]432 + 1128 lion 2 super family
5 [40, 4, 96, 1]440 + 196 great crest
6 [1, 1, 8, 1, 51, 1, 56, 2, 84, 1]11 + 18 + 151 + 256 + 184 valor
6 [1, 3, 7, 2, 239, 1]31 + 27 + 1239 pure twist level
6 [8, 1, 24, 1, 32, 1, 48, 2, 96, 1]18 + 124 + 132 + 248 + 196 sorted wolf 01 02 12 super clans
6 [16, 2, 32, 1, 48, 2, 96, 1]216 + 132 + 248 + 196 lion partition & symmetry perm indices
6 [16, 2, 32, 1, 64, 3]216 + 132 + 364 lion 0 clan
6 [16, 2, 32, 1, 64, 3]216 + 132 + 364 lion 1 clan
6 [16, 2, 32, 1, 64, 3]216 + 132 + 364 lion 2 clan
6 [16, 5, 176, 1]516 + 1176 patron symmetry neg
7 [2, 2, 8, 1, 12, 1, 40, 1, 48, 1, 144, 1]22 + 18 + 112 + 140 + 148 + 1144 clan size
7 [5, 1, 20, 1, 29, 1, 36, 1, 46, 1, 60, 2]15 + 120 + 129 + 136 + 146 + 260 nonmonotonicity
7 [8, 1, 24, 3, 48, 1, 56, 1, 72, 1]18 + 324 + 148 + 156 + 172 super chunky burden
7 [16, 2, 32, 3, 64, 2]216 + 332 + 264 lion 2 family
7 [16, 2, 32, 3, 64, 2]216 + 332 + 264 lion 0 family
7 [16, 2, 32, 3, 64, 2]216 + 332 + 264 lion 1 family
7 [16, 4, 48, 2, 96, 1]416 + 248 + 196 lamb wolf lion partitions
8 [2, 2, 6, 2, 8, 1, 24, 2, 184, 1]22 + 26 + 18 + 224 + 1184 soft cohort faction
8 [2, 2, 6, 2, 8, 1, 24, 2, 184, 1]22 + 26 + 18 + 224 + 1184 linear lion seal faction
8 [2, 2, 6, 2, 8, 1, 24, 2, 184, 1]22 + 26 + 18 + 224 + 1184 symmetry neg seal faction
8 [2, 4, 10, 3, 218, 1]42 + 310 + 1218 atomvals
8 [2, 4, 10, 3, 218, 1]42 + 310 + 1218 soft legion•soft legion set•
8 [8, 2, 24, 2, 48, 4]28 + 224 + 448 company
8 [8, 2, 24, 4, 72, 2]28 + 424 + 272 chunky twist vector
8 [16, 4, 48, 4]416 + 448 reverse splice faction•quaestor dominion•
8 [16, 4, 48, 4]416 + 448 patron dominion•patron principality••patron king index and quadrant•
8 [16, 4, 48, 4]416 + 448 Zhegalkin deviation faction•twin prefect signed weight•
8 [16, 4, 48, 4]416 + 448 prefect signed weight
8 [16, 4, 48, 4]416 + 448 Zhegalkin linear signed weight•reverse prefect signed weight•
8 [16, 4, 48, 4]416 + 448 consultor super faction
8 [16, 4, 48, 4]416 + 448 consultor prefect faction•consultor twin super twin faction••consultor twin super faction•
8 [16, 6, 32, 1, 128, 1]616 + 132 + 1128 lion (0, 1) super clan
8 [32, 8]832 quaestor sword
8 [32, 8]832 super great twin mentor•leveled praetor sword•
8 [32, 8]832 consul•lion consuls••lion consul weights•
8 [32, 8]832 great sub-prefect
8 [32, 8]832 badge
8 [32, 8]832 uniform 1•twist xors 1•
8 [32, 8]832 reverse splice super•twist xors (2, 3)••quaestor twin super••long lion XOR super•
8 [32, 8]832 uniform 2•reverse consul•
8 [32, 8]832 lamb XOR
8 [32, 8]832 wolf XOR
8 [32, 8]832 lion XOR
8 [32, 8]832 consultor prefect super
8 [32, 8]832 odd & acute & odious
9 [1, 2, 2, 1, 6, 2, 8, 1, 24, 2, 184, 1]21 + 12 + 26 + 18 + 224 + 1184 cohort faction
9 [1, 2, 2, 3, 10, 3, 218, 1]21 + 32 + 310 + 1218 legion•legion set•
9 [1, 2, 8, 2, 28, 2, 56, 2, 70, 1]21 + 28 + 228 + 256 + 170 weight
9 [1, 2, 8, 2, 28, 2, 56, 2, 70, 1]21 + 28 + 228 + 256 + 170 Zhegalkin weight
9 [2, 4, 8, 4, 216, 1]42 + 48 + 1216 linear lion stamp
9 [2, 4, 8, 4, 216, 1]42 + 48 + 1216 symmetry neg stamp
9 [16, 8, 128, 1]816 + 1128 blunt consul•lion super clans••lion super families••lion blunt consuls••lion blunt consul weights••counselor XOR consultor•
9 [16, 8, 128, 1]816 + 1128 sharp counselor Walsh
10 [1, 2, 3, 4, 6, 1, 21, 2, 194, 1]21 + 43 + 16 + 221 + 1194 blot faction
10 [1, 2, 8, 2, 14, 1, 28, 2, 56, 3]21 + 28 + 114 + 228 + 356 valor & strength
10 [16, 9, 112, 1]916 + 1112 counselor XOR self•counselor XOR complement•
11 [3, 4, 9, 6, 190, 1]43 + 69 + 1190 bloat
11 [4, 2, 8, 2, 16, 2, 32, 3, 40, 1, 64, 1]24 + 28 + 216 + 332 + 140 + 164 ultra clan
11 [4, 2, 12, 2, 16, 2, 24, 2, 48, 3]24 + 212 + 216 + 224 + 348 great principality
11 [4, 2, 12, 2, 16, 2, 24, 2, 48, 3]24 + 212 + 216 + 224 + 348 great dominion
11 [4, 4, 8, 6, 192, 1]44 + 68 + 1192 sphinx•sphinx boolf•
12 [2, 2, 6, 2, 16, 3, 24, 2, 48, 3]22 + 26 + 316 + 224 + 348 sorted lion clans
12 [16, 8, 32, 4]816 + 432 patron symmetry negperm
13 [2, 2, 6, 2, 12, 2, 16, 1, 24, 3, 32, 1, 48, 2]22 + 26 + 212 + 116 + 324 + 132 + 248 sorted lamb 01 02 12 super clans
13 [2, 2, 6, 2, 16, 3, 24, 4, 48, 2]22 + 26 + 316 + 424 + 248 super clan BLAZON (set of sets)
13 [4, 2, 8, 1, 12, 2, 24, 7, 48, 1]24 + 18 + 212 + 724 + 148 platoon
13 [4, 2, 12, 4, 24, 5, 32, 1, 48, 1]24 + 412 + 524 + 132 + 148 sorted wolf super clans
13 [4, 2, 12, 4, 24, 5, 32, 1, 48, 1]24 + 412 + 524 + 132 + 148 sorted lamb super clans
13 [4, 2, 12, 6, 24, 2, 36, 2, 56, 1]24 + 612 + 224 + 236 + 156 chunky burden
14 [2, 2, 6, 2, 8, 2, 16, 2, 24, 4, 48, 2]22 + 26 + 28 + 216 + 424 + 248 super clan
14 [8, 4, 16, 6, 32, 4]48 + 616 + 432 wolf 01 02 12 super clans
15 [2, 8, 8, 6, 192, 1]82 + 68 + 1192 sphinx shadow•sphinx shadow pair•
15 [4, 4, 8, 6, 16, 4, 128, 1]44 + 68 + 416 + 1128 blunt consul & sphinx•lion super clans & sphinx••lion super families & sphinx•
15 [4, 4, 8, 6, 32, 4, 64, 1]44 + 68 + 432 + 164 super guild reps
15 [8, 7, 16, 5, 24, 1, 32, 1, 64, 1]78 + 516 + 124 + 132 + 164 sorted lion 01 02 12 super clans
16 [1, 4, 7, 8, 49, 4]41 + 87 + 449 twist partition
16 [1, 8, 2, 6, 4, 1, 232, 1]81 + 62 + 14 + 1232 noble symmetry neg
16 [2, 8, 8, 7, 184, 1]82 + 78 + 1184 symmetry neg•symmetry neg indices••symmetry neg seal•
16 [2, 8, 8, 7, 184, 1]82 + 78 + 1184 soft cohort•soft cohort set••twin linear lion seal•
16 [2, 8, 8, 7, 184, 1]82 + 78 + 1184 linear lion seal•linear lion seal twin•
16 [4, 4, 12, 8, 36, 4]44 + 812 + 436 twin-chunky twist vector
16 [8, 8, 16, 6, 32, 1, 64, 1]88 + 616 + 132 + 164 lion 01 02 12 super clans
16 [8, 8, 24, 8]88 + 824 consultor faction
16 [10, 15, 106, 1]1510 + 1106 faction XOR•faction XOR index•
16 [16, 16]1616 nameless 1
16 [16, 16]1616 badge & depravity•sigbadge•
16 [16, 16]1616 praetor•lion 2••twin wolf 2••reverse twin wolf 2•
16 [16, 16]1616 reverse splice•quaestor••quaestor twin•
16 [16, 16]1616 patron•patron index••praetor sword•
16 [16, 16]1616 nameless 3
16 [16, 16]1616 nameless 4
16 [16, 16]1616 great twin mentor
16 [16, 16]1616 Zhegalkin linear•reverse prefect•
16 [16, 16]1616 Zhegalkin deviation•twin prefect••super BLAZON XORs•
16 [16, 16]1616 chunky twist xors•chunky seminar•
16 [16, 16]1616 longitude•serration 1 (quarter sharpness)••serrator splice••lion 0••twin wolf 0••reverse twin wolf 0•
16 [16, 16]1616 half sharpness and quadrant
16 [16, 16]1616 latitude•lamb 0••twin lamb 0••reverse twin lion 0•
16 [16, 16]1616 badge & parity
16 [16, 16]1616 reverse twin wolf 012•unsigned sub-prefect•
16 [16, 16]1616 lamb 1•twin lamb 1••reverse twin lion 1•
16 [16, 16]1616 lamb 01
16 [16, 16]1616 lamb 2•twin lamb 2••reverse twin lion 2•
16 [16, 16]1616 lamb 02
16 [16, 16]1616 lamb 12
16 [16, 16]1616 lamb 012•reverse twin lion 012•
16 [16, 16]1616 wolf 0•twin lion 0••reverse twin lamb 0•
16 [16, 16]1616 wolf 1•twin lion 1••reverse twin lamb 1•
16 [16, 16]1616 wolf 01•twin lion 01••reverse twin lion 01•
16 [16, 16]1616 wolf 2•twin lion 2••reverse twin lamb 2•
16 [16, 16]1616 wolf 02•twin lion 02••reverse twin lion 02•
16 [16, 16]1616 wolf 12•twin lion 12••reverse twin lion 12•
16 [16, 16]1616 wolf 012•twin lion 012•
16 [16, 16]1616 lion 1•twin wolf 1••reverse twin wolf 1•
16 [16, 16]1616 lion 01•twin wolf 01•
16 [16, 16]1616 lion 02•twin wolf 02•
16 [16, 16]1616 lion 12•twin wolf 12•
16 [16, 16]1616 lion 012•twin wolf 012•
16 [16, 16]1616 twin lamb 01
16 [16, 16]1616 twin lamb 02
16 [16, 16]1616 twin lamb 12
16 [16, 16]1616 twin lamb 012
16 [16, 16]1616 reverse twin lamb 01
16 [16, 16]1616 reverse twin lamb 02
16 [16, 16]1616 reverse twin lamb 12
16 [16, 16]1616 reverse twin lamb 012
16 [16, 16]1616 reverse twin wolf 01
16 [16, 16]1616 reverse twin wolf 02
16 [16, 16]1616 reverse twin wolf 12
16 [16, 16]1616 long lion XOR
16 [16, 16]1616 consultor super
16 [16, 16]1616 consultor prefect•consultor twin super••consultor twin super twin•
16 [16, 16]1616 consultor prefect XOR consul
16 [16, 16]1616 prefect XOR consul
17 [1, 2, 2, 7, 8, 7, 184, 1]21 + 72 + 78 + 1184 cohort•cohort set•
17 [8, 16, 128, 1]168 + 1128 sharp counselor
18 [1, 3, 3, 9, 6, 1, 15, 4, 160, 1]31 + 93 + 16 + 415 + 1160 blight faction
18 [4, 4, 8, 6, 16, 4, 32, 4]44 + 68 + 416 + 432 ultra family
20 [4, 4, 12, 12, 24, 4]44 + 1212 + 424 squad
20 [8, 8, 16, 12]88 + 1216 noble symmetry perm
20 [10, 16, 24, 4]1610 + 424 crest
21 [2, 8, 8, 12, 144, 1]82 + 128 + 1144 sphinx with shadow
22 [1, 2, 2, 1, 4, 2, 6, 2, 8, 5, 12, 4, 24, 6]21 + 12 + 24 + 26 + 58 + 412 + 624 clan•clan BLAZON (set of sets)•
25 [2, 8, 8, 6, 16, 9, 24, 2]82 + 68 + 916 + 224 super family BLAZON (set of sets)
26 [2, 8, 8, 6, 16, 12]82 + 68 + 1216 lion clans•lion families•
26 [4, 14, 12, 4, 16, 6, 28, 2]144 + 412 + 616 + 228 twin consultor XOR consultor
27 [1, 20, 7, 6, 194, 1]201 + 67 + 1194 blot
27 [4, 8, 8, 12, 16, 6, 32, 1]84 + 128 + 616 + 132 wolf 01 02 12 clans
28 [1, 2, 2, 1, 4, 9, 8, 7, 16, 8, 32, 1]21 + 12 + 94 + 78 + 816 + 132 guild reps
29 [2, 8, 8, 12, 16, 9]82 + 128 + 916 super family BLAZON (tuple of sets)•super clan BLAZON (tuple of sets)••lion families & sphinx•
30 [2, 8, 8, 14, 16, 8]82 + 148 + 816 super family
30 [4, 14, 8, 7, 16, 9]144 + 78 + 916 lion 01 02 12 clans
32 [8, 32]328 sub-prefect
32 [8, 32]328 super chunk
32 [8, 32]328 twist xors (1, 2)
32 [8, 32]328 badge & quadrant
32 [8, 32]328 consultor•double consultor••consultor twin•
34 [2, 6, 6, 18, 12, 8, 16, 1, 24, 1]62 + 186 + 812 + 116 + 124 super clan BLAZON (set of tuples)
34 [2, 8, 4, 12, 8, 6, 16, 7, 32, 1]82 + 124 + 68 + 716 + 132 lamb 01 02 12 super clans
37 [2, 12, 4, 12, 8, 3, 10, 4, 20, 6]122 + 124 + 38 + 410 + 620 symmetry negperm•symmetry negperm indices•
38 [1, 8, 3, 14, 9, 8, 12, 4, 20, 2, 23, 2]81 + 143 + 89 + 412 + 220 + 223 burden
39 [4, 26, 8, 9, 16, 3, 32, 1]264 + 98 + 316 + 132 wolf super clans
39 [4, 26, 8, 9, 16, 3, 32, 1]264 + 98 + 316 + 132 lamb super clans
40 [1, 2, 2, 7, 4, 8, 8, 20, 12, 2, 24, 1]21 + 72 + 84 + 208 + 212 + 124 family BLAZON (set of sets)
40 [2, 8, 6, 24, 12, 8]82 + 246 + 812 super faction
44 [1, 8, 3, 8, 4, 8, 6, 8, 12, 12]81 + 83 + 84 + 86 + 1212 principality
44 [1, 8, 3, 8, 4, 8, 6, 8, 12, 12]81 + 83 + 84 + 86 + 1212 dominion
46 [1, 2, 2, 7, 4, 14, 8, 23]21 + 72 + 144 + 238 family•family BLAZON (tuple of sets)••clan BLAZON (tuple of sets)•
46 [1, 2, 2, 7, 4, 14, 8, 23]21 + 72 + 144 + 238 reverse family
49 [1, 36, 5, 12, 160, 1]361 + 125 + 1160 blight
54 [1, 6, 3, 26, 4, 2, 6, 14, 12, 4, 16, 2]61 + 263 + 24 + 146 + 412 + 216 (symmetry neg XOR self) faction
64 [1, 16, 3, 32, 9, 16]161 + 323 + 169 twist vector•reverse and twin prefect signed weight•
64 [4, 64]644 twin mentor
64 [4, 64]644 chunk
64 [4, 64]644 twist xors
64 [4, 64]644 quarter sharpness and quadrant
66 [1, 28, 2, 18, 6, 8, 12, 12]281 + 182 + 86 + 1212 noble symmetry negperm
68 [1, 16, 3, 48, 24, 4]161 + 483 + 424 symmetry perm & crest
71 [1, 12, 2, 1, 3, 36, 4, 2, 6, 19, 12, 1]121 + 12 + 363 + 24 + 196 + 112 clan BLAZON (set of tuples)
78 [1, 14, 2, 31, 4, 24, 8, 6, 10, 2, 16, 1]141 + 312 + 244 + 68 + 210 + 116 lamb 01 02 12 clans
80 [1, 16, 3, 48, 6, 16]161 + 483 + 166 faction
81 [2, 60, 4, 12, 6, 4, 12, 4, 16, 1]602 + 124 + 46 + 412 + 116 super family BLAZON (set of tuples)
86 [2, 50, 4, 34, 10, 2]502 + 344 + 210 wolf clans
86 [2, 50, 4, 34, 10, 2]502 + 344 + 210 lamb clans
88 [1, 16, 2, 24, 4, 48]161 + 242 + 484 serrator cycles
96 [2, 64, 4, 32]642 + 324 seminar
106 [2, 96, 4, 6, 8, 3, 16, 1]962 + 64 + 38 + 116 super clan BLAZON (tuple of tuples)
108 [2, 96, 4, 9, 8, 2, 12, 1]962 + 94 + 28 + 112 super BLAZON (set of sets)
109 [2, 96, 4, 12, 16, 1]962 + 124 + 116 super family BLAZON (tuple of tuples)
112 [2, 96, 4, 16]962 + 164 super BLAZON (tuple of sets)
128 [1, 112, 9, 16]1121 + 169 counselor
128 [2, 128]1282 lamb
128 [2, 128]1282 lion•super BLAZON (tuple of tuples)•
128 [2, 128]1282 wolf
164 [1, 114, 2, 28, 3, 14, 4, 2, 6, 6]1141 + 282 + 143 + 24 + 66 family BLAZON (set of tuples)
184 [1, 124, 2, 48, 3, 12]1241 + 482 + 123 splinter
184 [1, 168, 4, 14, 16, 2]1681 + 144 + 216 symmetry neg XOR self
222 [1, 192, 2, 28, 4, 2]1921 + 282 + 24 clan BLAZON (tuple of tuples)
234 [1, 216, 2, 16, 4, 2]2161 + 162 + 24 family BLAZON (tuple of tuples)
247 [1, 240, 2, 5, 3, 2]2401 + 52 + 23 BLAZON (set of sets)
255 [1, 254, 2, 1]2541 + 12 BLAZON (tuple of sets)