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xm3x1xm12m2: (x=Not Tested m=-{minus}: As=-3 Sa=1 Sp=-1 Sw=2 To=-2) sums of the 4 essences to cause all White 
Bloodbark	56	9 Vegetable, 1 Worm	    0	3   0  -1   0	1  -2	2
Acacia	69	9 Mineral, 1 Vegetable		   -2	0   0  -1   3	0   0	0
Chakkanut Tree	45	5 Mineral, 5 Worm	    0  -3   2	0   0  -2   1  -1
Jacaranda Sapling	 5 Fish, 5 Mineral	    0	0   0	2   0	1  -2  -1
Cardamon	17	7 Worm, 3 Wood		    0	0  -3	0  -1	0   3	0
V
1:=>	x	White	x	White	x	White   Pink*	White		        	*same result 3 times
8zeros: all attributes of summed 4 essences are = to zero which gives the signs or zeros of the tested essence
Bloodbark	56	9 Vegetable, 1 Worm	0   3	0  -1	0   1  -2   2
Jacaranda Sapling	 5 Fish, 5 Mineral	0   0	0   2	0   1  -2  -1	 	
Peaches 'n Cream Sapling	4 Worm, 6 Wood	3   0  -1   0   0   1	0  -2
River Birch	7 Vegetable, 2 Grain, 1 Wood	0   0	1  -2	0  -1	0   0
Tiny Oil Palm	6 Mineral, 4 Wood	       -3   0	0   0  -2  -1	2   3
V 2:=>	x	x	x	x	x	x	Pink*	x				*same result 3 times
xxxxxx2x: only test Sw=2 
Bloodbark	56	9 Vegetable, 1 Worm	    0	3   0  -1   0	1  -2	2
Acacia	69	9 Mineral, 1 Vegetable		   -2	0   0  -1   3	0   0   0
Acacia Youth	33	4 Vegetable, 3 Worm, 3 Wood 3	0   2  -1  -3	0   0	1
Beetlenut	19	9 Worm, 1 Wood		    0	1   3	0   0  -1   0  -2
Blaze Maple Sapling	56	9 Vegetable, 1 Worm 0	3  -1  -3   0  -2   2	0
V
3:=>	x	x	x	x	x	x	LtBlue^	x				^same result 2 times
xxxxxx3x:
Bloodbark	56	9 Vegetable, 1 Worm	    0	3   0  -1   0	1  -3	2
Acacia	69	9 Mineral, 1 Vegetable		   -2	0   0  -1   3	0   0	0
Acacia Youth	33	4 Vegetable, 3 Worm, 3 Wood 3	0   2  -1  -3	0   0   1
Beetlenut	19	9 Worm, 1 Wood		    0	1   3	0   0  -1   0  -2
Red Maple	0	10 Rock			    0	0   0  -2   2	0   3  -1
V
4:=>	x	x	x	x	x	x	LtBlue^	x				^same result 2 times
xxxxxx1x:
Bloodbark	56	9 Vegetable, 1 Worm		0   3	0  -1	0   1  -1   2	
Acacia	69	9 Mineral, 1 Vegetable		       -2   0	0  -1	3   0	0   0
Acacia Youth	33	4 Vegetable, 3 Worm, 3 Wood	3   0	2  -1  -3   0	0   1
Beetlenut	19	9 Worm, 1 Wood			0   1	3   0	0  -1	0  -2
Chakkanut Tree	45	5 Mineral, 5 Worm		0  -3	2   0	0  -2	1  -1
V
5:=>	x	x	x	x	x	x	LtBlue^	x				^same result 2 times