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Principalities and dominions of 3-ary Boolean functions

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Studies of Boolean functions
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faction size 1

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king index 0 (king 0)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(0)
(0)
(0)
(0)
king index 104 (king 26752)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(104)
(232)
(150)
(22)

faction size 3

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king index 6 (king 1632)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(6)
(18)
(20)
(102)
(90)
(60)
(96)
(72)
(40)
(96)
(72)
(40)
king index 110 (king 28384)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(110)
(122)
(124)
(142)
(178)
(212)
(246)
(222)
(190)
(118)
(94)
(62)

faction size 4

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king index 22 (king 5760)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(22)
(150)
(232)
(104)

(24)
(36)
(66)
(120)
(108)
(106)
(120)
(108)
(106)
(24)
(36)
(66)
king index 42 (king 10920)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(126)
(126)
(126)
(126)

(42)
(76)
(112)
(130)
(132)
(144)
(252)
(250)
(238)
(84)
(50)
(14)

faction size 6

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king index 8 (king 2176)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(8)
(32)
(64)
(136)
(160)
(192)
(240)
(204)
(170)
(16)
(4)
(2)

(40)
(72)
(96)
(40)
(72)
(96)
(60)
(90)
(102)
(20)
(18)
(6)
king index 14 (king 3808)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(14)
(50)
(84)
(238)
(250)
(252)
(144)
(132)
(130)
(112)
(76)
(42)

(60)
(90)
(102)
(20)
(18)
(6)
(20)
(18)
(6)
(60)
(90)
(102)

faction size 12

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king index 2 (king 680)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(2)
(4)
(16)
(170)
(204)
(240)
(192)
(160)
(136)
(64)
(32)
(8)

(30)
(54)
(86)
(30)
(54)
(86)
(24)
(36)
(66)
(120)
(108)
(106)

(10)
(12)
(34)
(48)
(68)
(80)
(34)
(68)
(10)
(80)
(12)
(48)
(48)
(80)
(12)
(68)
(10)
(34)
(80)
(48)
(68)
(12)
(34)
(10)
king index 26 (king 6856)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(26)
(28)
(38)
(52)
(70)
(82)
(210)
(180)
(198)
(156)
(166)
(154)
(184)
(216)
(172)
(228)
(202)
(226)
(88)
(56)
(100)
(44)
(98)
(74)

(46)
(58)
(78)
(92)
(114)
(116)
(78)
(114)
(46)
(116)
(58)
(92)
(92)
(116)
(58)
(114)
(46)
(78)
(116)
(92)
(114)
(58)
(78)
(46)
king index 44 (king 11464)
principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices

(62)
(94)
(118)
(190)
(222)
(246)
(212)
(178)
(142)
(124)
(122)
(110)

(106)
(108)
(120)
(66)
(36)
(24)
(86)
(54)
(30)
(86)
(54)
(30)

(44)
(56)
(74)
(88)
(98)
(100)
(228)
(216)
(226)
(184)
(202)
(172)
(156)
(180)
(154)
(210)
(166)
(198)
(52)
(28)
(82)
(26)
(70)
(38)

overview

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principality dominion
truth tables Zhegalkin indices truth tables Zhegalkin indices
                                                       
                                                       
                                                       
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