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too complicated to be written here. Click on the link to download a text file.

X(1), X(2), X(86), X(870), X(894), X(6625), X(14621), X(16826), X(24342), X(40718), X(40719), X(40720), X(40721), X(40722), X(40723), X(40724), X(40725), X(40737), X(40738), X(40739), X(40740), X(40741), X(40742), X(40743)

Geometric properties :

See preamble just before X(40718) in ETC where K1176 is called the (X(1),X(2))-CCC cubic.

K1176 meets

• the line at infinity at the same points as pK(X2, X33082), pK(X86,X30966) and more generally as pK(Ω, P) where Ω is a point on pK(X33682, X2) and P is a point on pK(X2, X33082).

• the Steiner ellipse at the same points as pK(X2, X4649) and more generally as pK(Ω, P) where Ω and P are two points on pK(Ω0, Ω0) with Ω0 = isotomic conjugate of X(3775).

• the circumcicle at the same points as pK(Ω1, X1) and pK(Ω2, X870) where

Ω1 = a (a^4-a^2 b^2-2 a^2 b c-a b^2 c-a^2 c^2-a b c^2-b^2 c^2) : : , on the lines {X1,X2210},{X2,X41},{X21,X72},{X42,X1580},{X75,X584},{X81,X172},{X86,X2174}, etc, SEARCH = 2.25889472949147.

Ω2 = (a^2+a b+b^2) (a^2+b c) (a^2+a c+c^2) : : , on the lines{X7,X604},{X81,X1908},{X172,X385}, etc, SEARCH = 1.44054076207495.

Ω1 and Ω2 are now X(40744) and X(40745) in ETC (2020-12-17).

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The isogonal and isotomic transforms of K1176 are pK(X32 x X3661, X42) and pK(X3661, X10) respectively.

The barycentric product of K1176 by X(1) is K1177.