NOVELTY - A polyimide has isoindole group-containing repeating unit (I).    USE - Polyimide is used as interlayer insulation film of substrate e.g. glass substrate for liquid crystal display and organic electroluminescence display. Can also be used for protective film, liquid-crystal alignment, optical waveguide material, and substrate for electronic paper, solar cell and semiconductor element.    ADVANTAGE - The polyimide has high heat resistance, excellent transparency, light transmittance, birefringence, deflection temperature under load, hardness, water absorption property, bending strength, elasticity modulus, young's modulus, flexibility, electric insulation property, arc-resistance, chemical resistance, hot water resistance, solubility to solvent, and low dielectric constant.    DETAILED DESCRIPTION - A polyimide has isoindole group-containing repeating unit of formula (I).    P1,P2,P3=H, halo, cyano, formyl, hydroxyl or (un)substituted (alkyl, cycloalkyl, alkenyl, aryl, aralkyl, alkanoyloxy or alkoxyl);    X,A=(un)substituted alkylene, bivalent group produced by removing two hydrogen atoms on carbon atom from (un)substituted polycyclic unsaturated hydrocarbon, bivalent group produced by removing two hydrogen atoms on carbon atom from (un)substituted polycyclic saturated hydrocarbon, benzene ring-containing repeating unit of formula (II) or cyclohexane ring-containing repeating unit of formula (IV);    m=0-3;    R1,R2=halo, cyano, formyl, hydroxyl or (un)substituted (alkyl, alkenyl, aryl, alkanoyloxy or alkoxyl);    q,r,e,f,sa,ua=0-4;    Z1=single bond, oxygen, sulfur, SO2, 1-4C alkylene optionally substituted with fluorine, or aromatic group of formula (III);    R5,R6=halo, cyano, formyl, hydroxyl, (un)substituted (alkyl, cycloalkyl, alkenyl, aryl, aralkyl, alkanoyloxy or alkoxyl);    n=0-3;    R3,R4=halo, cyano, formyl, hydroxyl, (un)substituted (alkyl, cycloalkyl, alkenyl, alkanoyloxy or alkoxyl);    Z2=1-4C alkylene, single bond, oxygen, sulfur,SO2, fluorine;    n=2 or 3;and    sa,sb=0-2.    INDEPENDENT CLAIMS are included for the following:    (1) manufacture of polyimide, which involves imidating polyimide precursor having cyclohexane ring-containing of formula (V);    (2) polyimide precursor;    (3) manufacture of polyimide precursor, which involves reacting tetracarboxylic acid dianhydide of formula (VI) and diamine compound of formula: H2N-A-NH2;    (4) tetracarboxylic-acid dianhydride; and    (5) manufacture of tetracarboxylic-acid dianhydride, which involves reacting acid halide and diol of formula: HO-X-OH. The acid halide is obtained by halogenating acid anhydride of formula (VII) using halogenating agent.    Ra,Rb=hydroxyl or -NH-A- or;and    Rc,Rd=hydroxyl or -NH-.