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Its supposed to have cats on it, maybe an egr. It should at the very least have a charcoal cannister on it. Is Paradise in Tehema county? I really can't remember if they are a no smog county or not.
c=chevy, k=4x4, L=350 v8 4 barrel, 1=1/2 ton, 4=cab +pickup box, 7= 1977, z= assembly plant (Fort Wayne, Indiana/ Fremont, California/ or Spring Hill, Tennessee, unfortually it doestn't tell you which one), 126356= serial number. If it was made in the Fremont plant for California it should have had smog epuipment on it, more than likely it was made at one of the other plants and brought to California.