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These are so-called regular dies trial pieces but most of these off-metal coins were deliberately struck for sale to collectors.
Examples are known in the following combinations:
Copper or Bronze on thick planchets J403/P471 with about a half dozen confirmed. Metallurgical analysis is recommended. Some of these may be mint errors - bronze examples struck on wrong thickness stock. 2 were in Bowers & Ruddy's 9/75 Winthrop sale lots 10 and 12 with the latter 71.1 grains. Recent sales include:
1) Superior 5/06, Goldberg 2/07, Stacks 6/07, B/M 7/08 - PCGS63RED
2) Heritage 1/13 FUN sale lot 6687, Heritage 2/25 as PCGS62RB
3) StacksBowers 8/20 - NGC62RB
4) an example on PCGS.com/CoinFacts - PCGS64RB
Copper or Bronze with reeded edge J403A/P472 with only 2 confirmed:
1) Numismatic Enterprises-NASC 2/68 lot 177, Bowers and Ruddy's 9/75 Winthrop sale lot 11, Stacks 6/86 lot 497, Rice, Heritage 2/25 - PCGS65BN, thin planchet.
2) Purchased in the 1940s for $75, StacksBowers 6/11 sale as PCGS64BN, 50.9 grains
One of these probably accounts for the one in the Lohr Fixed Price List.
Copper-nickel J404/P473 with just over a dozen known on both thin 47 grain and thick 72 grain planchets with the latter probably being mint errors struck on leftover planchets for 1859-1864 Indian Cents.
Copper-nickel with reeded edge J405/P474 with reeding as illustrated below courtesy of Rick Snow. These exist on both thin 47 grain and thick 72 grain planchets with the latter probably being leftover planchets for 1859-1864 Indian Cents. The following 5 are confirmed:
1) Mitchelson-Connecticut State Library
2) NASCA 11/77, Heritage 7/21 - PCGS64
3) Crouch-Superior 6/77, NERCA 4/80, Heritage 1/13 FUN, Heritage 2/25 lot 4104 - PCGS64
4) Woodin, Col Green, J.M. Wade, Stacks 8/71 ANA, Stacks 12/80, Queller-Heritage 1/09 FUN, Heritage 2/25 lot 4103 - NGC63
5) Stacks 6/77 ?, Queller-Heritage 5/09 as NGC63, now PCGS63

Nickel J406 & J406A/P475-P476 with about 3 dozen known combined as illustrated at the top of this page. Click on the thumbnail image to enlarge.
These have been traditionally described as silver-nickel but this is unlikely per the research of David Cassel with regard to other silver-nickel patterns. Metallurgical analysis is recommended to see if any of these contain any silver.
Pollock separates these based on there being two obverse dies which are illustrated below courtesy of PCGS. On P475 the date is to the right with the point of Liberty's bust is to the left of the '1' in date. On P476 the date is more to the left with the point of Liberty's bust even with the left edge of the '1' in date.

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