Boolf prop/3-ary/principality

Number of blocks:   44 Integer partition:   8⋅1 + 8⋅3 + 8⋅4 + 8⋅6 + 12⋅12

#	principality	block
1	(0, 0)	[0]
4	(42, 1)	[1, 15, 51, 85]
12	(2, 0)	[2, 4, 10, 12, 16, 30, 34, 48, 54, 68, 80, 86]
3	(110, 1)	[3, 5, 17]
3	(6, 0)	[6, 18, 20]
12	(44, 1)	[7, 9, 19, 21, 27, 29, 33, 39, 53, 65, 71, 83]
6	(8, 0)	[8, 32, 40, 64, 72, 96]
12	(26, 1)	[11, 13, 35, 45, 49, 57, 69, 75, 81, 89, 99, 101]
6	(14, 0)	[14, 50, 60, 84, 90, 102]
4	(22, 0)	[22, 24, 36, 66]
1	(104, 1)	[23]
6	(14, 1)	[25, 37, 43, 67, 77, 113]
12	(26, 0)	[26, 28, 38, 46, 52, 58, 70, 78, 82, 92, 114, 116]
6	(8, 1)	[31, 55, 63, 87, 95, 119]
12	(2, 1)	[41, 47, 59, 73, 79, 93, 97, 111, 115, 117, 123, 125]
4	(42, 0)	[42, 76, 112, 126]
12	(44, 0)	[44, 56, 62, 74, 88, 94, 98, 100, 106, 108, 118, 120]
4	(22, 1)	[61, 91, 103, 105]
1	(104, 0)	[104]
3	(6, 1)	[107, 109, 121]
3	(110, 0)	[110, 122, 124]
1	(0, 1)	[127]
1	(0, 2)	[128]
4	(42, 3)	[129, 143, 179, 213]
12	(2, 2)	[130, 132, 138, 140, 144, 158, 162, 176, 182, 196, 208, 214]
3	(110, 3)	[131, 133, 145]
3	(6, 2)	[134, 146, 148]
12	(44, 3)	[135, 137, 147, 149, 155, 157, 161, 167, 181, 193, 199, 211]
6	(8, 2)	[136, 160, 168, 192, 200, 224]
12	(26, 3)	[139, 141, 163, 173, 177, 185, 197, 203, 209, 217, 227, 229]
6	(14, 2)	[142, 178, 188, 212, 218, 230]
4	(22, 2)	[150, 152, 164, 194]
1	(104, 3)	[151]
6	(14, 3)	[153, 165, 171, 195, 205, 241]
12	(26, 2)	[154, 156, 166, 174, 180, 186, 198, 206, 210, 220, 242, 244]
6	(8, 3)	[159, 183, 191, 215, 223, 247]
12	(2, 3)	[169, 175, 187, 201, 207, 221, 225, 239, 243, 245, 251, 253]
4	(42, 2)	[170, 204, 240, 254]
12	(44, 2)	[172, 184, 190, 202, 216, 222, 226, 228, 234, 236, 246, 248]
4	(22, 3)	[189, 219, 231, 233]
1	(104, 2)	[232]
3	(6, 3)	[235, 237, 249]
3	(110, 2)	[238, 250, 252]
1	(0, 3)	[255]