TECHNOLOGY FOCUS - POLYMERS - Preparation (claimed): The new polymer is obtained by reacting component (A) containing a dihalogenated benzonitrile derivative of formula (VII) and/or a dihalogenated phenyl-containing compound of formula (VIII), component (B) containing a fluorene-containing compound of formula (IX), and component (C) containing a halogenated phenyl-containing compound of formula (XI) and/or (XII).X=halo;andR'a=H, methyl, ethyl, acetyl, methanesulfonyl or trifluoromethylsulfonyl.Preferred Units: The polymer further consists of structural unit(s) chosen from structural units of formulae (III) and/or (IV).R5,R6=1-12C monovalent organic group;Z=single bond, -O-, -S-, -SO2-, (-)(-)C=O, -CONH-, -COO-, or 1-12C divalent organic group;e,f=0-4;andn=0-2.The molar ratio of structural units (I) and/or (II), and structural units (III) and/or (IV) is 50:50-100:0. The polymer has a weight average molecular weight of 5000-500000 by polystyrene conversion as measured by gel permeation chromatography. Preferred Condition: Components (A,B) are reacted with a metallic compound of formula: M-(-OR)p.M=metal atom;R=1-18C monovalent organic group;andp=valence of metal atom.Preferred Properties: The film has a total light transmittance of 85% or more as measured by JIS K7105 transparency testing method, at a thickness of 30 mu m. A solution obtained by dissolving the film in dimethylacetamide and having a polymer concentration of 10 wt.%, has a yellow index of 7 or less. The phase difference in the thickness direction of the film having a thickness of 30 mu m is 200 nm or less. EXAMPLE - (In g) 9,9-bis(4-hydroxyphenyl)fluorene (78.4358), 2,6-difluorobenzonitrile (30.8593), potassium carbonate (34.031), N,N-dimethylacetamide (345), and toluene (86) were added to a flask. After nitrogen substitution, water produced by reacting the contents at 128 degrees C for 4 hours was removed, to obtain a polymer. 4-Fluorobenzonitrile (0.723) was added and reacted at 128 degrees C for 2 hours. The produced salt was removed after cooling to room temperature, and the filtrate was supplied to methanol, reprecipitated, and filtered. The filtered material was vacuum-dried at 60 degrees C to obtain a white polymer powder (96) with a yield of 96%. The obtained polymer had a weight average molecular weight of 81900, a number average molecular weight of 24000, a molecular weight distribution of 3.41, and a glass transition temperature of 278 degrees C. A film formed using the polymer had a total light transmittance of 89% as measured by JIS K7105 and a yellow index of 3 before baking and 5 after baking at 270 degrees C for 1 hour.