OA.729.12.3.5

OA(729,12,3,5) λ = 3, 1 / 44315 d(C) = 6 ρ(C) ≤ 4
After reduction: 1 / 4 d(C) = 6 ρ(C) ≤ 3
↙ ↘
			OA(243,11,3,4) λ = 3, 1 / 8234 d(C) = 6 ρ(C) ≤ 5		OA(486,11,3,4) λ = 6, 12986 / 252479 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
			After reduction: 1 / 6 d(C) = 6 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
			↙ ↘		↙ ↘
		OA(81,10,3,3) λ = 3, 56 / 2458 3 ≤ d(C) ≤ 6 ρ(C) ≤ 5		OA(162,10,3,3) λ = 6, 14176 / 85431 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(324,10,3,3) λ = 12, / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
		After reduction: 26 / 1454 4 ≤ d(C) ≤ 6 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
		↙ ↘		↙ ↘		↙ ↘
	OA(27,9,3,2) λ = 3, 16 / 488 3 ≤ d(C) ≤ 6 ρ(C) ≤ 5		OA(54,9,3,2) λ = 6, 1806 / 11663 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(108,9,3,2) λ = 12, 174682 / 489416 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(216,9,3,2) λ = 24, / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
	After reduction: 11 / 416 4 ≤ d(C) ≤ 6 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		After reduction: / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,8,3,1) λ = 3, 141 / 495 1 ≤ d(C) ≤ 6 ρ(C) ≤ 5		OA(18,8,3,1) λ = 6, 6959 / 14721 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(36,8,3,1) λ = 12, 503812 / 767228 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(72,8,3,1) λ = 24, / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5		OA(144,8,3,1) λ = 48, / 1 ≤ d(C) ≤ 5 ρ(C) ≤ 5

OA(729,11,3,5) λ = 3, 1 / 11299 d(C) = 5 ρ(C) ≤ 4
After reduction: 1 / 3 d(C) = 5 ρ(C) ≤ 2
↙ ↘
			OA(243,10,3,4) λ = 3, 1 / 2861 d(C) = 5 ρ(C) ≤ 4		OA(486,10,3,4) λ = 6, 6497 / 59667 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3
			After reduction: 1 / 330 d(C) = 5 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
			↙ ↘		↙ ↘
		OA(81,9,3,3) λ = 3, 51 / 1068 2 ≤ d(C) ≤ 5 ρ(C) ≤ 4		OA(162,9,3,3) λ = 6, 5728 / 24903 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(324,9,3,3) λ = 12, 380199 / 829750 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
		After reduction: 29 / 668 3 ≤ d(C) ≤ 5 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
		↙ ↘		↙ ↘		↙ ↘
	OA(27,8,3,2) λ = 3, 19 / 285 2 ≤ d(C) ≤ 5 ρ(C) ≤ 4		OA(54,8,3,2) λ = 6, 1114 / 4986 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(108,8,3,2) λ = 12, 60708 / 137897 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(216,8,3,2) λ = 24, / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
	After reduction: 16 / 243 3 ≤ d(C) ≤ 5 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,7,3,1) λ = 3, 86 / 268 1 ≤ d(C) ≤ 5 ρ(C) ≤ 4		OA(18,7,3,1) λ = 6, 2742 / 5353 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(36,7,3,1) λ = 12, 116680 / 168907 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(72,7,3,1) λ = 24, / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(144,7,3,1) λ = 48, / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4

OA(729,10,3,5) λ = 3, 31 / 2853 2 ≤ d(C) ≤ 4 ρ(C) ≤ 3
After reduction: 5 / 506 3 ≤ d(C) ≤ 4 ρ(C) ≤ 3
↙ ↘
			OA(243,9,3,4) λ = 3, 15 / 975 3 ≤ d(C) ≤ 4 ρ(C) ≤ 3		OA(486,9,3,4) λ = 6, 2914 / 14343 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3
			After reduction: 5 / 355 3 ≤ d(C) ≤ 4 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3
			↙ ↘		↙ ↘
		OA(81,8,3,3) λ = 3, 52 / 443 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3		OA(162,8,3,3) λ = 6, 2285 / 6714 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3		OA(324,8,3,3) λ = 12, 76591 / 135116 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
		After reduction: 24 / 254 2 ≤ d(C) ≤ 4 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
		↙ ↘		↙ ↘		↙ ↘
	OA(27,7,3,2) λ = 3, 19 / 155 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(54,7,3,2) λ = 6, 632 / 1924 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(108,7,3,2) λ = 12, 18800 / 34134 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(216,7,3,2) λ = 24, 570458 / 779388 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
	After reduction: 14 / 129 2 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		After reduction: / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,6,3,1) λ = 3, 51 / 139 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(18,6,3,1) λ = 6, 1009 / 1804 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(36,6,3,1) λ = 12, 24615 / 33800 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(72,6,3,1) λ = 24, 680202 / 803603 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4		OA(144,6,3,1) λ = 48, / 1 ≤ d(C) ≤ 4 ρ(C) ≤ 4

OA(729,9,3,5) λ = 3, 94 / 678 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
After reduction: 19 / 168 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2
↙ ↘
			OA(243,8,3,4) λ = 3, 51 / 334 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(486,8,3,4) λ = 6, 1234 / 3180 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
			After reduction: 18 / 138 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
			↙ ↘		↙ ↘
		OA(81,7,3,3) λ = 3, 32 / 162 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(162,7,3,3) λ = 6, 635 / 1490 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(324,7,3,3) λ = 12, 10952 / 17081 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
		After reduction: 18 / 104 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
		↙ ↘		↙ ↘		↙ ↘
	OA(27,6,3,2) λ = 3, 15 / 75 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(54,6,3,2) λ = 6, 266 / 616 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(108,6,3,2) λ = 12, 4201 / 6562 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(216,6,3,2) λ = 24, 66401 / 83664 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
	After reduction: 13 / 66 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		After reduction: / 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,5,3,1) λ = 3, 28 / 66 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(18,5,3,1) λ = 6, 339 / 553 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(36,5,3,1) λ = 12, 4651 / 6043 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(72,5,3,1) λ = 24, 68503 / 78943 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3		OA(144,5,3,1) λ = 48, 1049890 / 1125475 1 ≤ d(C) ≤ 3 ρ(C) ≤ 3

OA(729,8,3,5) λ = 3, 39 / 128 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2
After reduction: 13 / 50 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
↙ ↘
			OA(243,7,3,4) λ = 3, 27 / 86 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		OA(486,7,3,4) λ = 6, 272 / 494 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
			After reduction: 15 / 48 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
			↙ ↘		↙ ↘
		OA(81,6,3,3) λ = 3, 19 / 56 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		OA(162,6,3,3) λ = 6, 174 / 312 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(324,6,3,3) λ = 12, 1503 / 2027 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
		After reduction: 14 / 41 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
		↙ ↘		↙ ↘		↙ ↘
	OA(27,5,3,2) λ = 3, 13 / 37 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		OA(54,5,3,2) λ = 6, 107 / 189 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(108,5,3,2) λ = 12, 876 / 1177 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(216,5,3,2) λ = 24, 7076 / 8232 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
	After reduction: 12 / 33 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,4,3,1) λ = 3, 15 / 30 1 ≤ d(C) ≤ 3 ρ(C) ≤ 2		OA(18,4,3,1) λ = 6, 104 / 153 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(36,4,3,1) λ = 12, 775 / 950 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(72,4,3,1) λ = 24, 5978 / 6639 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(144,4,3,1) λ = 48, 46948 / 49517 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2

OA(729,7,3,5) λ = 3, 13 / 24 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
After reduction: 6 / 11 1 ≤ d(C) ≤ 2 ρ(C) = 1
↙ ↘
			OA(243,6,3,4) λ = 3, 12 / 22 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(486,6,3,4) λ = 6, 51 / 70 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
			After reduction: 6 / 11 1 ≤ d(C) ≤ 2 ρ(C) = 1		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
			↙ ↘		↙ ↘
		OA(81,5,3,3) λ = 3, 10 / 18 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(162,5,3,3) λ = 6, 42 / 58 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(324,5,3,3) λ = 12, 174 / 205 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
		After reduction: 6 / 11 1 ≤ d(C) ≤ 2 ρ(C) = 1		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
		↙ ↘		↙ ↘		↙ ↘
	OA(27,4,3,2) λ = 3, 9 / 16 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(54,4,3,2) λ = 6, 36 / 49 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(108,4,3,2) λ = 12, 144 / 169 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(216,4,3,2) λ = 24, 576 / 625 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
	After reduction: 8 / 13 1 ≤ d(C) ≤ 2 ρ(C) = 1		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		After reduction: / 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,3,3,1) λ = 3, 7 / 12 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(18,3,3,1) λ = 6, 27 / 37 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(36,3,3,1) λ = 12, 108 / 127 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(72,3,3,1) λ = 24, 432 / 469 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2		OA(144,3,3,1) λ = 48, 1728 / 1801 1 ≤ d(C) ≤ 2 ρ(C) ≤ 2

OA(729,6,3,5) λ = 3, 3 / 4 d(C) = 1 ρ(C) = 1
↙ ↘
			OA(243,5,3,4) λ = 3, 3 / 4 d(C) = 1 ρ(C) = 1		OA(486,5,3,4) λ = 6, 6 / 7 d(C) = 1 ρ(C) = 1
			↙ ↘		↙ ↘
		OA(81,4,3,3) λ = 3, 3 / 4 d(C) = 1 ρ(C) = 1		OA(162,4,3,3) λ = 6, 6 / 7 d(C) = 1 ρ(C) = 1		OA(324,4,3,3) λ = 12, 12 / 13 d(C) = 1 ρ(C) = 1
		↙ ↘		↙ ↘		↙ ↘
	OA(27,3,3,2) λ = 3, 3 / 4 d(C) = 1 ρ(C) = 1		OA(54,3,3,2) λ = 6, 6 / 7 d(C) = 1 ρ(C) = 1		OA(108,3,3,2) λ = 12, 12 / 13 d(C) = 1 ρ(C) = 1		OA(216,3,3,2) λ = 24, 24 / 25 d(C) = 1 ρ(C) = 1
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,2,3,1) λ = 3, 3 / 4 d(C) = 1 ρ(C) = 1		OA(18,2,3,1) λ = 6, 6 / 7 d(C) = 1 ρ(C) = 1		OA(36,2,3,1) λ = 12, 12 / 13 d(C) = 1 ρ(C) = 1		OA(72,2,3,1) λ = 24, 24 / 25 d(C) = 1 ρ(C) = 1		OA(144,2,3,1) λ = 48, 48 / 49 d(C) = 1 ρ(C) = 1

OA(729,5,3,5) λ = 3, 1 / 1 d(C) = 1 ρ(C) = 0
↙ ↘
			OA(243,4,3,4) λ = 3, 1 / 1 d(C) = 1 ρ(C) = 0		OA(486,4,3,4) λ = 6, 1 / 1 d(C) = 1 ρ(C) = 0
			↙ ↘		↙ ↘
		OA(81,3,3,3) λ = 3, 1 / 1 d(C) = 1 ρ(C) = 0		OA(162,3,3,3) λ = 6, 1 / 1 d(C) = 1 ρ(C) = 0		OA(324,3,3,3) λ = 12, 1 / 1 d(C) = 1 ρ(C) = 0
		↙ ↘		↙ ↘		↙ ↘
	OA(27,2,3,2) λ = 3, 1 / 1 d(C) = 1 ρ(C) = 0		OA(54,2,3,2) λ = 6, 1 / 1 d(C) = 1 ρ(C) = 0		OA(108,2,3,2) λ = 12, 1 / 1 d(C) = 1 ρ(C) = 0		OA(216,2,3,2) λ = 24, 1 / 1 d(C) = 1 ρ(C) = 0
	↙ ↘		↙ ↘		↙ ↘		↙ ↘
OA(9,1,3,1) λ = 3, 1 / 1 d(C) = 1 ρ(C) = 0		OA(18,1,3,1) λ = 6, 1 / 1 d(C) = 1 ρ(C) = 0		OA(36,1,3,1) λ = 12, 1 / 1 d(C) = 1 ρ(C) = 0		OA(72,1,3,1) λ = 24, 1 / 1 d(C) = 1 ρ(C) = 0		OA(144,1,3,1) λ = 48, 1 / 1 d(C) = 1 ρ(C) = 0