Components with polymerization properties; methods for manufacturing organic glass using those components; and organic glass itself.

Abstract

This polymerizable composition includes: (A) a compound that is represented by general formula (1) and includes two or more allyloxycarbonyl groups; (B) at least one polymerization initiator selected from the group consisting of peroxyketal radical polymerization initiators, peroxymonocarbonate radical polymerization initiators, and peroxyester radical polymerization initiators; and (C) at least one photochromic compound selected from a group of naphthopyran compounds.

Description

Coincidence composition, method for producing an organic glass using the composition, and organic glass The present invention relates to a polymerizable composition suitably used for producing a photochromic cured product having excellent photochromic action. Photochromism is a reversible action in which when a certain compound is irradiated with light containing ultraviolet rays such as sunlight or the light of a mercury lamp, the color changes rapidly, and when the light irradiation is stopped and the compound is placed in a dark place, it returns to its original color, and it is applied to various uses. For example, photochromism is also applied in the field of spectacle lenses, and a plastic lens having photochromic properties is obtained by curing a polymerizable monomer added with various photochromic compounds having the above properties. As photochromic compounds, fulgimide compounds, spirooxazine compounds, chromene compounds, etc. that can be suitably used for such applications have been found. A photochromic spectacle is a spectacle that functions as sunglasses with the lens rapidly coloring outdoors when irradiated with light containing ultraviolet rays such as sunlight, and functions as a normal transparent spectacle with fading indoors without such light irradiation, and its demand has been increasing in recent years. Regarding photochromic spectacle lenses, those made of plastic are particularly preferred from the viewpoints of lightness and safety, and the impartation of photochromic properties to such plastic lenses is generally carried out by compounding with an organic photochromic compound. As the compounding method, a method of impregnating the surface of a lens having no photochromic property with a photochromic compound (hereinafter referred to as an impregnation method), or a method of dissolving a photochromic compound in a monomer and polymerizing it to directly obtain a photochromic lens (hereinafter referred to as a kneading method) is known. Regarding the techniques of these impregnation methods (see Patent Documents 1 to 3) and the techniques of the kneading method (see Patent Documents 4 to 5), various techniques have been proposed. U.S. Patent No. 5,739,243, U.S. Patent No. 5,973,093, International Publication No. WO 95 / 10790 Pamphlet, Japanese Unexamined Patent Application Publication No. JP-A-5-306392, Japanese Unexamined Patent Application Publication No. JP-A-8-320534, Japanese Unexamined Patent Application Publication No. JP-A-7-2938, Japanese Unexamined Patent Application Publication No. JP-A-2009-19157, Japanese Unexamined Patent Application Publication No. JP-A-2004-78052, International Publication No. WO 2009 / 146509 Pamphlet, International Publication No. WO 2010 / 20770 Pamphlet, International Publication No. WO 2012 / 149599 Pamphlet, International Publication No. WO 2012 / 162725 Pamphlet These photochromic compounds and the plastic having photochromic properties containing them generally exhibit excellent photochromic properties. However, in order to use these photochromic composites for various applications, particularly for photochromic spectacle lenses, it is required not only to exhibit a good photochromic effect, but also to be manufacturable simply and inexpensively, and to have excellent mechanical or optical physical properties as a photochromic spectacle lens. When using the photochromic plastic exemplified by the above impregnation method for spectacle applications, since a base material is separately prepared and the obtained base material is impregnated with a photochromic compound, not only is the manufacturing method complicated, but also in order to improve the impregnation property, it is necessary to lower the glass transition temperature (Tg) of the base material. As a result, the flexibility of the base material becomes too high, and as a result, new problems such as a decrease in the hardness of the base material, a decrease in heat resistance, and a large amount of optical distortion occur. In addition, in Patent Documents 4 and 5 exemplified by the above kneading method, since a highly reactive di(meth)acrylate-based radical polymerizable monomer is used, it is difficult to control the polymerization, and a photochromic spectacle lens without distortion can be produced only by using a polymerization oven capable of strict temperature control at a temperature of 35°C or lower. There was room for improvement in that special equipment was required for moldability and that it could not be manufactured inexpensively because a special acrylate-based material was used. In addition, various attempts have been made to manufacture photochromic spectacle lenses by a kneading method using diethylene glycol bisallyl carbonate (hereinafter sometimes abbreviated as 'CR-39' in common parlance), which is a cured product having a refractive index of 1.50 and is used as a general-purpose material for spectacle lenses, as a radically polymerizable monomer. However, since the monomer has low reactivity, when polymerized in the coexistence of diisopropyl peroxydicarbonate (hereinafter sometimes abbreviated as 'IPP' in common parlance), which has a high oxidizing action, with a photochromic compound, IPP oxidizes the photochromic compound, and thus there is a problem that a photochromic spectacle lens exhibiting sufficient photochromic properties has not been obtained. Therefore, the present inventors have intensively studied a polymerizable composition in which a specific photochromic compound is mixed with a polymerizable monomer and polymerized, and a photochromic cured product typified by a photochromic spectacle lens can be inexpensively and easily manufactured by a kneading method. As a result, in the application of spectacle lenses, diethylene glycol bisallyl carbonate and / or its oligomer, which is used as a general-purpose and inexpensive material in the low refractive index market, and diallyl phthalate and / or its oligomer, which is used as a general-purpose and inexpensive material in the medium refractive index market, a specific photochromic dye, and a radical polymerization initiator are included. It has been found that a photochromic polymerizable composition can produce a photochromic cured product with good yield using equipment that does not require strict temperature control, and the photochromic properties of the obtained photochromic cured product are superior to those of conventional ones, leading to the completion of the present invention. The present invention can be shown as follows. [1] A polymerizable composition comprising: (A) a compound containing two or more allyloxycarbonyl groups represented by the following general formula (1); (B) at least one polymerization initiator selected from the group consisting of a peroxyketal-based radical polymerization initiator, a peroxymonocarbonate-based radical polymerization initiator, and a peroxyester-based radical polymerization initiator; (C) at least one photochromic compound selected from the group of naphthopyran compounds; ; (In the formula, n is an integer of 2 to 6. R １ represents a hydrogen atom or a methyl group, and a plurality of R １ may be the same or different.) X is a divalent to hexavalent organic group a derived from a linear or branched aliphatic polyol having 3 to 12 carbon atoms which may have an oxygen atom, a divalent to hexavalent organic group b derived from a cyclic aliphatic polyol having 5 to 16 carbon atoms which may have an oxygen atom, or a divalent to hexavalent organic group c derived from an aromatic compound having 6 to 12 carbon atoms. The organic group a or the organic group b is bonded to an allyloxycarbonyl group through an ether group derived from a hydroxyl group thereof to form an allyl carbonate group.). [2] The compound (A) containing two or more allyloxycarbonyl groups is a polymerizable composition according to [1], which contains an allyl carbonate polymerizable compound represented by the following general formula (2) and its oligomer, or an allyl ester polymerizable compound represented by the following general formula (3) or (4) and its oligomer, or a polymerizable compound containing at least one of an allyl ester group and an allyl carbonate group represented by the following general formula (5) and their oligomers; (In formula (2), X represents a divalent to hexavalent group derived from a linear or branched C3 - C12 aliphatic polyol or a divalent to hexavalent group derived from a C5 - C16 cyclic aliphatic polyol, and n represents an integer of 2 to 6.) (In formula (4), X represents a divalent group derived from a linear or branched C2 - C8 aliphatic diol or a trivalent to hexavalent group derived from a linear or branched C3 - C10 aliphatic polyol having 3 to 6 hydroxyl groups, and n represents an integer of 2 to 6.). (In formula (5), X represents a divalent group derived from a linear or branched C2 - C8 aliphatic diol or a trivalent to hexavalent group derived from a linear or branched C3 - C10 aliphatic polyol having 3 to 6 hydroxyl groups, m and n represent integers of 0 to 6, and the sum of m and n is an integer of 2 to 6.). [3] The polymerization initiator (B) is at least one selected from the group consisting of a peroxyketal-based polymerization initiator represented by the following general formula (6) having a 10-hour half-life temperature of 80°C or higher, a peroxymonocarbonate-based polymerization initiator represented by the following general formula (7) having a 10-hour half-life temperature of 80°C or higher, and a peroxyester-based polymerization initiator represented by the following general formula (8) having a 10-hour half-life temperature of 65°C or higher, the polymerizable composition according to [1] or [2]; (In formula (6), R ３ is a tertiary alkyl group, and R １ and R ２ are each independently an alkyl group selected from methyl, ethyl, propyl, and butyl, and the alkyl group may have an alkyl ester group at the terminal, or R １ and R ２ may together with the carbon atom to which they are attached form a cycloalkylene group, and the cycloalkylene group may have 1 to 3 alkyl substituents.) (In formula (7), R １ is a C3-C6 tertiary alkyl group, and R ２ is a linear or branched C3-C8 alkyl group) (In formula (8), R １ is a C3-C6 tertiary alkyl group, and R ２ is a linear or branched C3-C9 alkyl group or a phenyl group). [4] The polymerizable composition according to any one of [1] to [3], wherein the photochromic compound (C) is one or more selected from the following general formula (9) or the following general formula (10); PC-L-Chain (9) PC-L-Chain-L'-PC' (10) (In formula (9) or formula (10), PC and PC' represent monovalent groups derived from the compounds of general formulas (11) to (14). PC and PC' may be the same or different. (In formulas (11) to (14), R１ ~R １８ represents hydrogen, a halogen atom, a carboxyl group, an acetyl group, a formyl group, an optionally substituted C1-C20 aliphatic group, an optionally substituted C3-C20 alicyclic group, or an optionally substituted C6-C20 aromatic organic group, and they may be the same or different from each other. These aliphatic groups, alicyclic groups or aromatic organic groups may contain an oxygen atom or a nitrogen atom. Any one of the groups contained in the compounds represented by general formulas (11) to (14) is bonded to a divalent organic group L or L'. In formula (9) or formula (10), L and L' represent a divalent organic group containing one or more selected from an oxyethylene chain, an oxypropylene chain, a (thio)ester group, and a (thio)amide group. In formula (9) or formula (10), Chain represents a monovalent or divalent organic group containing one or more selected from a polysiloxane chain and a polyoxyalkylene chain. [5] The allyl carbonate polymerizable compound is bis(allyl carbonate) compound of at least one diol selected from diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane and 4,8-bis(hydroxymethyl)-[5.2.1.0 ２，６ ]tricyclodecane, tris(allyl carbonate) compound of at least one triol selected from glycerol, trimethylolpropane and tris(hydroxyethyl)isocyanurate, tetra(allyl carbonate) compound of at least one tetraol selected from pentaerythritol, diglycerol and ditrimethylolpropane, hexa(allyl carbonate) compound of dipentaerythritol, and The composition according to [2], comprising at least one selected from a mixed poly(allyl carbonate) compound of at least two compounds selected from the diol, the triol, the tetraol, and the dipentaerythritol. [6] The allyl carbonate polymerizable compound is (i) A mixture of a bis(allyl carbonate) compound of diethylene glycol and its oligomer, (ii) A mixture of a bis(allyl carbonate) compound of a mixture of diethylene glycol and neopentyl glycol and its oligomer, (iii) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and tris(hydroxyethyl) isocyanurate and its oligomer, (iv) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and trimethylolpropane and its oligomer, (v) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and pentaerythritol and its oligomer, (vi) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol, neopentyl glycol, and pentaerythritol and its oligomer, and (vii) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol, neopentyl glycol, and pentaerythritol and its oligomer and a mixture of a bis(allyl carbonate) compound of diethylene glycol and its oligomer, a poly(allyl carbonate) mixture containing at least one selected from the group consisting of The composition according to [2]. [7] The allyl ester polymerizable compound is A diallyl phthalate monomer selected from diallyl isophthalate, diallyl terephthalate, or diallyl orthophthalate, The diallyl ester monomer and its oligomers obtained by the transesterification reaction of the diallyl phthalate monomer with a mixture of at least one diol selected from ethylene glycol, diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,2-propanediol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane, The polyallyl ester monomer and its oligomers obtained by the transesterification reaction of the diallyl phthalate monomer with a mixture of at least one polyol selected from glycerol, trimethylolpropane, tris(hydroxyethyl)isocyanurate, pentaerythritol, diglycerol, ditrimethylolpropane, dipentaerythritol, and The composition according to [2], comprising at least one selected from dialkyl phthalates selected from C1-C3 alkyl group-containing dialkyl isophthalate, dialkyl terephthalate, dialkyl orthophthalate, allyl alcohol, diallyl carbonate, and allyl ester monomers and their oligomers containing allyl carbonate groups obtained by the transesterification reaction of the mixture of the diol or the polyol. [8] The allyl ester polymerizable compound is (i) A mixture of diallyl terephthalate and a bis(allyl carbonate) compound of diethylene glycol and its oligomers at 30% by weight with respect to the diallyl terephthalate, (ii) An allyl ester compound obtained by the transesterification reaction of a mixture of diallyl terephthalate and propylene glycol, (iii) A mixture of the allyl ester compound of (ii), 20% by weight of bis(allyl carbonate) compound of diethylene glycol and its oligomers with respect to the allyl ester compound, (iv) A mixture of an allyl ester compound, an allyl carbonate compound, and a compound having an allyl ester group and an allyl carbonate group, obtained by transesterification of a mixture of dimethyl terephthalate, allyl alcohol, diallyl carbonate, and diethylene glycol, and (v) A mixture of the mixture obtained in (iv) and 10% by weight of bis(allyl carbonate) compound of diethylene glycol and its oligomers with respect to the mixture, The polymerizable composition according to [2], comprising at least one selected from the above. [9] The compound (A) containing two or more allyloxycarbonyl groups is The composition according to [2], which is a mixture of the allyl ester polymerizable compound and its oligomers according to [7] and the allyl carbonate polymerizable compound and its oligomers according to [5].

[10] The composition according to any one of [1] to [9], containing the component (B) in an amount of 0.3 to 5.0 parts by weight with respect to 100 parts by weight of the component (A).

[11] The composition according to any one of [1] to [9], containing the component (C) in an amount of 0.01 to 0.5 parts by weight with respect to 100 parts by weight of the component (A).

[12] A method for producing an organic glass having photochromic performance, comprising a step of radically polymerizing the polymerizable composition according to any one of [1] to

[11] .

[13] The method according to

[12] , wherein the step includes an injection molding polymerization step of injecting the polymerizable composition according to any one of [1] to

[11] into a mold and polymerizing it at a temperature in the range of 50 to 120 °C for 1 to 100 hours.

[14] An organic glass obtained by polymerizing and curing the polymerizable composition according to any one of [1] to

[11] .

[15] A lens made of the organic glass according to

[14] .

[16] A polarizing film, A polarizing lens comprising a substrate layer made of the organic glass described in

[14] formed on at least one surface of the polarizing film. In the present invention, for example, the "bis(allyl carbonate) compound of diol" means a compound having a structure in which two hydroxyl groups of diol are replaced with allyl carbonate groups. In the present invention, for example, the "bis(allyl carbonate) compound of a mixture of diethylene glycol and neopentyl glycol" means (1) A compound having a structure in which two hydroxyl groups of diethylene glycol are replaced with allyl carbonate groups, (2) A compound having a structure in which two hydroxyl groups of neopentyl glycol are replaced with allyl carbonate groups. In the present invention, for example, the "oligomer of the bis(allyl carbonate) compound of a mixture of diethylene glycol and neopentyl glycol" means an oligomer of the compound (1), an oligomer of the compound (2), and an oligomer of the compound (1) and the compound (2). The cured product obtained by polymerizing the polymerizable composition of the present invention not only has excellent photochromic properties, but also has excellent moldability, can be produced with good yield using equipment that does not require strict temperature control, and has excellent mechanical and optical physical properties such as hue. Therefore, the cured product obtained by polymerizing the photochromic polymerizable composition of the present invention is useful as an organic glass having photochromic properties, and can be suitably used, for example, in applications such as photochromic spectacle lenses. The polymerizable composition of the present invention contains (A) a compound containing two or more allyloxycarbonyl groups, (B) at least one polymerization initiator selected from the group consisting of a peroxyketal-based radical polymerization initiator, a peroxymonocarbonate-based radical polymerization initiator, and a peroxyester-based radical polymerization initiator, and (C) at least one photochromic compound selected from the group of naphthopyran compounds. [Compound (A) containing two or more allyloxycarbonyl groups] In the present invention, the compound (A) containing two or more allyloxycarbonyl groups can be represented by the following formula. In the formula, n is an integer of 2 to 6. R １ represents a hydrogen atom or a methyl group, and a plurality of R １ may be the same or different. X is a divalent to hexavalent organic group a derived from a linear or branched aliphatic polyol a1 having 3 to 12 carbon atoms which may have an oxygen atom, a divalent to hexavalent organic group b derived from a cyclic aliphatic polyol b1 having 5 to 16 carbon atoms which may have an oxygen atom, or a divalent to hexavalent organic group c derived from an aromatic compound c1 having 6 to 12 carbon atoms. The organic group a or the organic group b is bonded to an allyloxycarbonyl group via an ether group derived from a hydroxyl group to form an allyl carbonate group. These polyols usually can contain 2 to 6, preferably 2 to 4 hydroxyl groups in the molecule. Examples of the aliphatic polyol a1 include diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, glycerol, trimethylolpropane, tris(hydroxyethyl)isocyanurate, pentaerythritol, dipentaerythritol and the like. Examples of the cyclic aliphatic polyol b1 include 1,4-dimethylolcyclohexane, 4,8-bis(hydroxymethyl)-[5.2.1.0 ２，６ ]tricyclodecane and the like. Examples of the aromatic compound c1 include benzene, toluene, xylene, naphthalene and the like. Examples of the compound (A) containing two or more allyloxycarbonyl groups include allyl carbonate polymerizable compounds, allyl ester polymerizable compounds, and polymerizable compounds containing at least one of an allyl carbonate group and an allyl ester group. The compound containing two or more allyloxycarbonyl groups can include its oligomer. The compound containing two or more allyloxycarbonyl groups is a liquid product at room temperature, has a viscosity measured at 25 °C of 10 to 1000 cSt, and its oligomer content can vary over a wide range, for example, from 0 to about 80% by weight. (Allyl carbonate polymerizable compound) The allyl carbonate polymerizable compound can be represented by the following general formula (2) and can include its oligomer. The oligomer is a poly(allyl carbonate) in which two or more polyols are linked via carbonate groups formed by a transesterification reaction between allyl carbonate and polyol generated in the manufacturing process. This allyl carbonate polymerizable compound is a poly(allyl carbonate) compound of a linear or branched aliphatic polyol having 3 to 12 carbon atoms. A poly(allyl carbonate) compound of a cyclic aliphatic polyol having 5 to 16 carbon atoms in the molecule is also suitable for this purpose. These polyols can usually have 2 to 6, preferably 2 to 4 hydroxyl groups in the molecule. It is also possible to use a mixed poly(allyl carbonate) compound, that is, one obtained by mechanical mixing of poly(allyl carbonate) compounds of two or more polyols, or one that can be directly obtained by a chemical reaction starting from a mixture of polyols and diallyl carbonate. Finally, all of these poly(allyl carbonate) compounds can be in the form of monomers or mixtures of monomers and oligomers. Generally, the allyl carbonate polymerizable compound is a liquid product at room temperature, has a viscosity measured at 25 °C of 10 to 1000 cSt, and its oligomer content can vary over a wide range, for example, from 0 to about 80% by weight. In formula (2), X represents a divalent to hexavalent group derived from a linear or branched C3-C12 aliphatic polyol or a divalent to hexavalent group derived from a C5-C16 cycloaliphatic polyol, and n represents an integer of 2 to 6. Specific examples of the polyol constituting X in the general formula (2) include diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane, 4,8-bis(hydroxymethyl)-[5.2.1.0 ２，６ tricyclodecane, glycerol, trimethylolpropane, tris(hydroxyethyl)isocyanurate, pentaerythritol, diglycerol, ditrimethylolpropane, dipentaerythritol and the like. Therefore, examples of the allyl carbonate compound include, for example, diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane and 4,8-bis(hydroxymethyl)-[5.2.1.0 ２，６At least one selected from bis(allyl carbonate) compounds of at least one diol selected from tricyclodecane, glycerol, at least one tris(allyl carbonate) compound of at least one triol selected from trimethylolpropane and tris(hydroxyethyl)isocyanurate, pentaerythritol, at least one tetra(allyl carbonate) compound of at least one tetraol selected from diglycerol and ditrimethylolpropane, hexa(allyl carbonate) compound of dipentaerythritol, and a mixed poly(allyl carbonate) compound of at least two compounds selected from the above diol, triol, tetraol, and dipentaerythritol. Note that "bis(allyl carbonate) of a mixture of at least two diols" is obtained, for example, as a mixture of the following monomer components and oligomer components when the diol is diethylene glycol and neopentyl glycol. Monomer component (1) Diethylene glycol bis(allyl carbonate) (2) Neopentyl glycol bis(allyl carbonate) Oligomer component (3) An oligomer containing only hydrocarbons (and ethers) derived from diethylene glycol (4) An oligomer containing only hydrocarbons derived from neopentyl glycol (5) A composite oligomer containing both hydrocarbons (and ethers) derived from diethylene glycol and hydrocarbons derived from neopentyl glycol in the same molecule The following are preferred examples of allyl carbonate polymerizable compounds suitable for the purposes of the present invention. (i) A mixture of diethylene glycol bis(allyl carbonate) and its oligomer Diethylene glycol bis(allyl carbonate) can be defined by formula (I). Also, the oligomer of diethylene glycol bis(allyl carbonate) can be defined by formula (II). In the formula, n is 2 or more. Compound (I) can be produced, for example, by reacting diethylene glycol bis(chloroformate) with allyl alcohol as described in "Encyclopedia of Chemical Technology", Kirk-Othmer, 3rd Edition, Volume 2, pages 111-112. A mixture of diethylene glycol bis(allyl carbonate) (Formula (I)) and its oligomer (Formula (II)) can be easily produced, for example, as described in European Patent No. 35,304, by operating in the presence of a basic catalyst and performing transesterification between diallyl carbonate and diethylene glycol. These mixtures usually contain up to about 80% by weight of the oligomer. (ii) A mixture of a bis(allyl carbonate) compound of a mixture of diethylene glycol and neopentyl glycol and a mixture thereof with its oligomer This bis(allyl carbonate) compound is the same as the bis(allyl carbonate) in point (i) above, except that diethylene glycol is replaced with a mixture of diethylene glycol and neopentyl glycol. (iii) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and tris(hydroxyethyl) isocyanurate and a mixture thereof with its oligomer This poly(allyl carbonate) compound can be obtained, for example, as described in U.S. Patent No. 4,812,545, by transesterification of diallyl carbonate of a mixture of diethylene glycol and tris(hydroxyethyl) isocyanurate. (iv) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and trimethylolpropane and a mixture thereof with its oligomer This poly(allyl carbonate) compound is the same as the poly(allyl carbonate) in point (iii) above, except that tris(hydroxyethyl) isocyanurate is replaced with trimethylolpropane. (v) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol and pentaerythritol and an oligomer thereof This poly(allyl carbonate) compound is the same as the poly(allyl carbonate) compound in point (iii) above, except that tris(hydroxyethyl)isocyanurate is substituted with pentaerythritol. (vi) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol, neopentyl glycol and pentaerythritol and an oligomer thereof This poly(allyl carbonate) compound is the same as the poly(allyl carbonate) in point (v) above, except that diethylene glycol is substituted with two diols, diethylene glycol and neopentyl glycol. (vii) A mixture of a poly(allyl carbonate) compound of a mixture of diethylene glycol, neopentyl glycol and pentaerythritol and an oligomer thereof, A mixture of a bis(allyl carbonate) compound of diethylene glycol and an oligomer thereof, and a poly(allyl carbonate) mixture containing the same (Allyl ester polymerizable compound) The allyl ester polymerizable compound includes a diallyl phthalate represented by the following general formula (3); an allyl ester compound obtained by a transesterification reaction of a mixture of a diallyl phthalate and a polyol represented by the following general formula (4); or a polymerizable compound containing at least one of an allyl ester group and an allyl carbonate group represented by the following general formula (5) and oligomers thereof. The polymerizable compound represented by the general formula (5) includes a mixture of an allyl ester compound, an allyl carbonate compound, and a compound having an allyl ester group and an allyl carbonate group, obtained by a transesterification reaction of a mixture of a dialkyl phthalate, allyl alcohol, diallyl carbonate, and a polyol. In this embodiment, the compounds of the following general formulas (3) to (5) include positional isomers. The diallyl phthalate represented by the general formula (3) is at least one selected from diallyl isophthalate, diallyl terephthalate, and diallyl orthophthalate. In the formula (4), X represents a divalent group derived from a linear or branched C2-C8 aliphatic diol, or a trivalent to hexavalent group derived from a linear or branched C3-C10 aliphatic polyol having 3 to 6 hydroxyl groups, and n represents an integer of 2 to 6. In the formula (5), X represents a divalent group derived from a linear or branched C2-C8 aliphatic diol, or a trivalent to hexavalent group derived from a linear or branched C3-C10 aliphatic polyol having 3 to 6 hydroxyl groups, m and n represent integers of 0 to 6, and the sum of m and n is an integer of 2 to 6. Specific examples of the diallyl phthalate used are diallyl isophthalate, diallyl terephthalate, and diallyl orthophthalate. The dialkyl phthalate is a phthalic acid diester having a C1-3 alkyl group, and specific examples thereof are dimethyl isophthalate, dimethyl terephthalate, dimethyl orthophthalate, diethyl isophthalate, diethyl terephthalate, diethyl orthophthalate, dipropyl isophthalate, dipropyl terephthalate, and dipropyl orthophthalate. In addition, examples of the polyol constituting X in formula (4) and formula (5) include diols such as ethylene glycol, diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,2-propanediol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane, and glycerol, triols such as trimethylolpropane and tris(hydroxyethyl)isocyanurate, and polyols such as pentaerythritol, diglycerol, ditrimethylolpropane, and dipentaerythritol. The compounds of formula (4) and formula (5) can include their oligomers. The oligomer in formula (4) is formed by a transesterification reaction between the allyl ester compound generated in the production process and the polyol. The oligomer in formula (5) is formed by a transesterification reaction between the allyl ester compound or allyl carbonate compound generated in the production process and the polyol. Therefore, the allyl ester polymerizable compound is, for example, a diallyl phthalate monomer selected from diallyl isophthalate, diallyl terephthalate, and diallyl orthophthalate, The allyl ester monomer and its oligomer obtained by the transesterification reaction of the above-mentioned diallyl phthalate monomer with a mixture of at least one diol selected from ethylene glycol, diethylene glycol, dipropylene glycol, triethylene glycol, tetraethylene glycol, 1,2-propanediol, 1,3-propanediol, 1,4-butanediol, 1,5-pentanediol, 1,6-hexanediol, neopentyl glycol, 3-methyl-1,5-pentanediol, 2-methyl-2-ethyl-1,3-propanediol, 2,2-diethyl-1,3-propanediol, 2,2,4-trimethyl-1,3-pentanediol, 1,4-dimethylolcyclohexane, etc., The polyallyl ester monomer and its oligomer obtained by the transesterification reaction of the above-mentioned diallyl phthalate with a mixture of at least one polyol selected from glycerol, triol which is trimethylolpropane, tris(hydroxyethyl)isocyanurate, pentaerythritol, diglycerol, ditrimethylolpropane, dipentaerythritol, etc., At least one C1-C3 dialkyl phthalate selected from dimethyl isophthalate, dimethyl terephthalate, dimethyl orthophthalate, diethyl isophthalate, diethyl terephthalate, diethyl orthophthalate, dipropyl isophthalate, dipropyl terephthalate, dipropyl orthophthalate, allyl alcohol, diallyl carbonate, an allyl ester compound, an allyl carbonate compound, and a compound having an allyl carbonate group and an allyl ester group and their oligomers obtained by the transesterification reaction of the above-mentioned diol or polyol mixture, and includes at least one selected therefrom. More specifically, the allyl ester polymerizable compound is (i) A mixture of diallyl terephthalate, a bis(allyl carbonate) compound of diethylene glycol at 30% by weight with respect to the diallyl terephthalate, and its oligomer, (ii) An allyl ester compound obtained by transesterification of a mixture of diallyl terephthalate and propylene glycol, (iii) A mixture of the allyl ester compound of (ii) and bis(allyl carbonate) compounds and oligomers thereof of diethylene glycol at 20% by weight based on the allyl ester compound, (iv) A mixture of an allyl ester compound, an allyl carbonate compound, and a compound having an allyl ester group and an allyl carbonate group, obtained by transesterification of a mixture of dimethyl terephthalate, allyl alcohol, diallyl carbonate, and diethylene glycol, and (v) Preferably contains at least one selected from the group consisting of the mixture obtained in (iv) and a mixture of the mixture obtained in (iv) and bis(allyl carbonate) compounds and oligomers thereof of diethylene glycol at 10% by weight based on the mixture. The following are preferred examples of allyl ester polymerizable compounds suitable for the purposes of the present invention. (i) A mixture of an allyl ester compound, an allyl carbonate compound, and a compound having an allyl ester group and an allyl carbonate group, obtained by transesterification of a mixture of dimethyl terephthalate, allyl alcohol, diallyl carbonate, and diethylene glycol The above allyl ester compound can be defined by formulas (III) to (V), and contains oligomers obtained by transesterification of each with a polyol, with diallyl terephthalate of formula (III) as the main component. In the present embodiment, the compound (A) containing two or more allyloxycarbonyl groups can be a mixture of the allyl ester polymerizable compound and its oligomer and the allyl carbonate polymerizable compound and its oligomer, from the viewpoint of the effects of the present invention. [Radical polymerization initiator (B)] Next, the radical polymerization initiator (B) in the present invention will be described. As the radical polymerization initiator (B) of the present invention, (a) a peroxyketal-based radical polymerization initiator represented by the following general formula (6) having a 10-hour half-life temperature of 80 ° C. or higher and / or (b) a peroxy monocarbonate-based radical polymerization initiator represented by the following general formula (7) having a 10-hour half-life temperature of 80 ° C. or higher and / or (c) a peroxyester-based radical polymerization initiator represented by the following general formula (8) having a 10-hour half-life temperature of 65 ° C. or higher is used. By using the initiator having the specific decomposition temperature, a photochromic cured body excellent in photochromic properties can be provided without deteriorating the photochromic compound. (In formula (6), R ３ is a tertiary alkyl group, and R １ and R ２ are each independently an alkyl group selected from methyl, ethyl, propyl and butyl, and the alkyl group may have a non-interfering functional group such as an alkyl ester group at the end of the chain, or R １ and R ２ can form a cycloalkylene group together with the carbon atom to which they are attached, and the cycloalkylene group may have 1 to 3 alkyl substituents.) (In formula (7), R １ is a tertiary alkyl group having 3 to 6 carbon atoms, and R ２ is a linear or branched alkyl group having 3 to 8 carbon atoms) (In formula (8), R １ is a tertiary alkyl group having 3 to 6 carbon atoms, and R ２ is a linear or branched alkyl group having 3 to 9 carbon atoms or a phenyl group). Specific examples of the peroxyketal-based radical initiator of (a) {the value in () indicates the 10-hour half-life temperature} include 1,1-bis(t-butylperoxy)-3,3,5-trimethylcyclohexane (83 ° C), 1,1-bis(t-hexylperoxy)-3,3,5-trimethylcyclohexane (90 ° C), 2,2-Bis(t-butylperoxy)butane (107 °C) n-Butyl-4,4-bis(t-butylperoxy)valerate (109 °C) Ethyl-3,3-bis(t-butylperoxy)valerate (114 °C) 1,1-Bis(t-butylperoxy)cyclohexane (91 °C) 1,1-Bis(t-butylperoxy)-2-methylcyclohexane (83 °C) 1,1-Bis(t-amylperoxy)cyclohexane (93 °C) 1,1-Bis(t-hexylperoxy)cyclohexane (87 °C) 1,1-Bis(t-hexylperoxy)-3,3,5-trimethylcyclohexane (87 °C) 2,2-Bis[4,4-(di-t-butylperoxy)cyclohexyl]propane (95 °C) etc. can be mentioned. Specific examples of the peroxymonocarbonate-based radical initiator of (b) {the value in parentheses indicates the 10-hour half-life temperature} are as follows OO-(t-butyl)-O-isopropyl monoperoxycarbonate (99 °C) OO-(t-amyl)-O-isopropyl monoperoxycarbonate (96 °C) OO-(t-butyl)-O-(2-ethylhexyl) monoperoxycarbonate (99 °C) OO-(t-amyl)-O-(2-ethylhexyl) monoperoxycarbonate (99 °C) etc. can be mentioned. Specific examples of the peroxyester-based radical initiator of (c) {the value in parentheses indicates the 10-hour half-life temperature} are as follows t-Butylperoxy-2-ethylhexanoate (72 °C) t-Butylperoxyisobutyrate (82 °C) t-Butylperoxy-3,3,5-trimethylhexanoate (97 °C) t-Butylperoxyacetate (102 °C) t-Butyl peroxy isononanoate (102 °C) t-Butyl peroxy benzoate (104 °C) t-Amyl peroxy 2-ethylhexanoate (75 °C) t-Amyl peroxy normal octoate (96 °C) t-Amyl peroxy acetate (100 °C) t-Amyl peroxy isononanoate (96 °C) t-Amyl peroxy benzoate (100 °C) t-Hexyl peroxy 2-ethylhexanoate (70 °C) t-Hexyl peroxy benzoate (99 °C) 1,1,3,3-Tetramethylbutyl peroxy 2-ethylhexanoate (65 °C) etc. can be mentioned. In the present invention, the amount of use of the radical polymerization initiator varies depending on the polymerization conditions, the type of initiator, and the composition of the above-mentioned monomer, and cannot be generally limited. However, it is 0.3 to 5.0 parts by weight, preferably 0.5 to 3.0 parts by weight, based on 100 parts by weight of the compound (A) containing an allyloxycarbonyl group, and two or more radical polymerization initiators can also be used in combination. Further, when polymerizing the polymerizable composition of the present invention, among the polymerization conditions, in particular, the temperature affects the properties of the obtained photochromic cured product. Since this temperature condition is affected by the type and amount of the radical polymerization initiator and the type of monomer, it cannot be generally limited. However, it is generally preferable to start polymerization at a relatively low temperature, gradually increase the temperature, and cure at a high temperature at the end of polymerization. The polymerization time also varies depending on various factors like the temperature, so it is preferable to determine the optimum time in advance according to these conditions. However, generally, it is preferable to select conditions such that the polymerization is completed in 12 to 24 hours. Further, the polymerizable composition of the present invention does not require strict control at 35 °C or lower, and can be cured even in a pattern starting from 60 °C or higher, and has a high yield because it is easy to mold. [Photochromic compound (C)] Next, the photochromic compound (C) in the present invention will be described. As the photochromic compound (C), any compound exhibiting a photochromic effect can be adopted without any limitation, and at least one kind selected from the naphthopyran compound group can be used. The photochromic compound of the present invention is one or more selected from the following general formula (9) or the following general formula (10). PC-L-Chain (9) PC-L-Chain-L'-PC' (10) PC and PC' represent monovalent groups derived from the compounds of general formulas (11) to (14). PC and PC' may be the same or different. In formulas (11) to (14), R １ ~R １８ represents hydrogen, a halogen atom, a carboxyl group, an acetyl group, a formyl group, an optionally substituted C1-C20 aliphatic group, an optionally substituted C3-C20 alicyclic group, or an optionally substituted C6-C20 aromatic organic group, and each may be the same or different. These aliphatic groups, alicyclic groups, or aromatic organic groups may contain an oxygen atom or a nitrogen atom. Any one of the groups contained in the compounds represented by general formulas (11) to (14) is bonded to a divalent organic group L or L'. Examples of the optionally substituted C1-C20 aliphatic group include a linear or branched C1-C10 alkyl group, a linear or branched C1-C10 alkoxy group, a linear or branched C2-C10 alkenyl group, a C1-C10 hydroxyalkyl group, a C1-C10 hydroxyalkoxy group, a C1-C10 alkyl group substituted with a C1-C10 alkoxy group, a C1-C10 alkoxy group substituted with a C1-C10 alkoxy group, a C1-C5 haloalkyl group, a C1-C5 dihaloalkyl group, a C1-C5 trihaloalkyl group, a C1-C10 alkylamino group, a C1-C10 aminoalkyl group, a linear or branched C1-C20 alkoxycarbonyl group, and the like. Examples of the C3-C20 alicyclic group which may be substituted include a C3-C20 cycloalkyl group, a C6-C20 bicycloalkyl group, etc. Examples of the C6-C20 aromatic organic group which may be substituted include a phenyl group, a C7-C16 alkoxyphenyl group, an arylamino group, a diarylamino group, an aryl C1-C5 alkylamino group, a cyclic amino group, an arylcarbonyl group, an aroyl group, etc. R １ and R ２ are preferably a hydrogen atom; a halogen atom; a linear or branched C1-C10 alkyl group, a linear or branched C1-C10 alkoxy group, a C1-C10 hydroxyalkoxy group, a C1-C10 alkoxy group substituted with a C1-C10 alkoxy group, a C1-C5 haloalkyl group, a C1-C5 dihaloalkyl group, a C1-C5 trihaloalkyl group, a C1-C5 alkylamino group, etc., which are optionally substituted C1-C20 aliphatic groups; a phenyl group, a C7-C16 alkoxyphenyl group, a C1-C5 dialkylamino group, an arylamino group, a diarylamino group, an aryl C1-C5 alkylamino group, a cyclic amino group, etc., which are optionally substituted C6-C20 aromatic organic groups; etc. R １ and R ２ may be the same or different from each other. R ３ is preferably a hydrogen atom; a halogen atom; a carboxyl group; an acetyl group; a linear or branched C1-C10 alkyl group, a linear or branched C2-C10 alkenyl group, a linear or branched C1-C10 alkoxy group, a C1-C10 hydroxyalkyl group, a C1-C10 alkyl group substituted with a C1-C10 alkoxy group, a C1-C10 aminoalkyl group, a linear or branched C1-C20 alkoxycarbonyl group, etc., which are optionally substituted C1-C20 aliphatic groups; a C3-C20 alicyclic group which may be substituted, such as a C3-C20 cycloalkyl group, a C6-C20 bicycloalkyl group, etc.; Optionally substituted C6-C20 aromatic organic groups such as arylcarbonyl groups, formyl groups, aroyl groups, etc.; and the like can be mentioned. R ４ As, preferably, a hydrogen atom; a halogen atom; a carboxyl group; an acetyl group; a formyl group; A linear or branched C1-C10 alkyl group, a linear or branched C2-C10 alkenyl group, a linear or branched C1-C10 alkoxy group, a C1-C10 hydroxyalkyl group, a C1-C10 alkyl group substituted with a C1-C10 alkoxy group, a C1-C10 aminoalkyl group, a linear or branched C1-C20 alkoxycarbonyl group, etc., optionally substituted C1-C20 aliphatic groups; Optionally substituted C3-C20 alicyclic groups such as C3-C20 cycloalkyl groups, C6-C20 bicycloalkyl groups, etc.; Optionally substituted C6-C20 aromatic organic groups such as arylcarbonyl groups, aroyl groups, phenyl groups, C7-C16 alkoxyphenyl groups, C1-C10 dialkoxyphenyl groups, C1-C10 alkylphenyl groups, C1-C10 dialkylphenyl groups, etc.; and the like can be mentioned. R ３ and R ４ may be bonded to each other. R ３ and R ４ When R and R are bonded to each other to form a ring structure, general formula (15) or (16) can be mentioned. The dotted line part represents the bond between the carbon atom to which R is bonded and the carbon atom to which R is bonded. ３ is bonded and the carbon atom to which R ４ is bonded. R ５ 、R ６ 、R ７ 、R ８ 、R ９ 、R １０ 、R １４ 、R １５ 、R １６ represent functional groups similar to R １ 、R ２ . A plurality of R ５ to R ７ may be the same or different. R １１ is preferably a hydrogen atom; a halogen atom; an optionally substituted C1-C20 aliphatic group such as a linear or branched C1-C20 alkyl group, a C1-C5 haloalkyl group, a C1-C5 dihaloalkyl group, a C1-C5 trihaloalkyl group; an optionally substituted C3-C20 alicyclic group such as a C3-C20 cycloalkyl group, a C6-C20 bicycloalkyl group, a C3-C20 cycloalkyl group substituted with a C1-C5 alkyl group, a C6-C20 bicycloalkyl group substituted with a C1-C5 alkyl group; an optionally substituted C6-C20 aromatic organic group such as an aryl group substituted with a C1-C5 alkyl group; etc. can be mentioned. R １２ and R １３ is preferably a hydrogen atom; a halogen atom; an optionally substituted C1-C20 aliphatic group such as a C1-C10 alkyl group, a C1-C5 alkylalkoxycarbonyl group; an optionally substituted C3-C20 alicyclic group such as a C5-C7 cycloalkyl group; etc. are shown. R １７ and R １８ is preferably a hydrogen atom; a halogen atom; an optionally substituted C1-C20 aliphatic group such as a linear or branched C1-C10 alkyl group, a C1-C10 hydroxyalkyl group; an optionally substituted C3-C20 alicyclic group such as a C5-C7 cycloalkyl group; etc. are shown. L and L' in general formula (9) or (10) represent a divalent organic group containing one or more selected from an oxyethylene chain, an oxypropylene chain, a (thio)ester group, and a (thio)amide group. Specifically, L and L' are represented by general formulas (17) to (23). L and L' may be the same or different. In formulas (17) to (23), Y represents oxygen or sulfur. R １９represents hydrogen, a linear or branched C1-C10 alkyl group. R ２０ represents a linear or branched C1-C10 alkyl group. p represents an integer from 0 to 15, and r represents an integer from 0 to 10. Q represents a linear or branched C1-C10 alkylene group, a C1-C10 alkenylene group, a divalent group derived from a 1,2-, 1,3-, or 1,4-substituted aryl group, a divalent group derived from a substituted heteroaryl group, etc. *1 and *2 represent bonds. *1 is bonded to a monovalent or divalent organic group represented by "Chain", and *2 is bonded to a monovalent organic group represented by PC or PC'. "Chain" in the general formula (9) or (10) represents a monovalent or divalent organic group containing one or more selected from a polysiloxane chain and a polyoxyalkylene chain. Examples of the polysiloxane chain include a polydimethylsiloxane chain, a polymethylphenylsiloxane chain, and a polymethylhydrosiloxane chain. Examples of the polyoxyalkylene chain include a polyoxyethylene chain, a polyoxypropylene chain, and a polyoxyhexamethylene chain. Specifically, "Chain" represents a monovalent organic group of the general formula (24) or (25) when the photochromic compound is of the general formula (9). "Chain" represents a divalent organic group of the general formula (26) or (27) when the photochromic compound is of the general formula (10). In the formulas (24) to (27), R ２１ represents a linear or branched C1-C10 alkyl group. R ２２ represents a linear or branched C1-C10 alkyl group. R ２３ represents hydrogen, a methyl group, or an ethyl group. n represents an integer from 4 to 75, and m represents an integer from 1 to 50. q represents an integer from 1 to 3. *3 and *4 represent linking hands, *3 is bonded to a divalent organic group represented by L, and *4 is bonded to a divalent organic group represented by L'. The photochromic compound of the present invention is obtained by the method described in WO2009 / 146509 publication, WO2010 / 20770 publication, WO2012 / 149599 publication, and WO2012 / 162725 publication. Examples of the photochromic compound of the present invention include Reversacol Humber Blue (polydimethylsiloxane chain, naphthopyran-based chromophore (general formula 11)) from Vivimed, Reversacol Calder Blue (polydimethylsiloxane chain, naphthopyran-based chromophore (general formula 11)), Reversacol Trent Blue (polydimethylsiloxane chain, naphthopyran-based chromophore (general formula 11)), Reversacol Pennine Green (polydimethylsiloxane chain, naphthopyran-based chromophore (general formula 11)), Reversacol Heath Green (polyoxyalkylene chain, naphthopyran-based chromophore (general formula 11)), Reversacol Chilli Red (polydimethylsiloxane chain, naphthopyran-based chromophore (general formula 11)), Reversacol Wembley Grey (polyoxyalkylene chain, naphthopyran-based chromophore (general formula 11)), Reversacol Cayenne Red (polyoxyalkylene chain, naphthopyran-based chromophore (general formula 11)), and the like. According to the combination of a predetermined polymerization initiator (B) and a predetermined photochromic compound (C) in the polymerizable composition of the present invention, the decomposition of the photochromic compound (C) by the polymerization initiator (B) is suppressed. Therefore, the polymerization initiator (B) and the photochromic compound (C) can coexist in the polymerizable composition, and a cured product having excellent photochromic properties and further excellent hue can be obtained in an inexpensive and simple manner by the kneading method. In the present invention, when the blending ratio of the photochromic compound of component (C) is too high, aggregation of the photochromic compound occurs and the durability rapidly decreases. Therefore, with respect to 100 parts by weight of the compound (A) containing two or more allyloxycarbonyl groups, the photochromic compound (C) is usually used in the range of 0.001 to 5 parts by weight, preferably 0.01 to 1 part by weight, more preferably 0.01 to 0.5 part by weight, and the best photochromic performance can be obtained within this range. In the polymerizable composition of the present invention, various stabilizers and additives such as a release agent, an ultraviolet absorber, an infrared absorber, an ultraviolet stabilizer, an antioxidant, an anti-coloring agent, an antistatic agent, a fluorescent dye, a dye, a pigment, and a fragrance can be mixed and used as necessary. Mixing and using the above-mentioned ultraviolet absorber is suitable because it can further improve the durability of the photochromic compound. As the ultraviolet absorber, benzophenone-based ultraviolet absorbers, benzotriazole-based ultraviolet absorbers, triazine-based ultraviolet absorbers, malonic ester-based ultraviolet absorbers, and oxanilide-based ultraviolet absorbers can be preferably used. While this ultraviolet absorber improves the durability of the photochromic compound, it inhibits the color development of the photochromic compound by ultraviolet rays. Since the ultraviolet absorption region varies depending on the type of the ultraviolet absorber, it cannot be generally limited, but usually, the blending amount of each ultraviolet absorber is preferably in the range of 0.001 to 5 parts by weight, more preferably 0.01 to 1 part by weight, with respect to 100 parts by weight of the radical polymerizable compound. The polymerization method for obtaining a cured body from the polymerizable composition of the present invention is not particularly limited, and a known radical polymerization method can be adopted. Exemplifying a typical polymerization method, the polymerizable composition of the present invention mixed with a radical polymerization initiator is injected between molds held by an adhesive tape or an elastomer gasket or a spacer, oxidized in an air furnace, and then removed, and casting polymerization is adopted. Furthermore, the photochromic cured body obtained by the above method can also be processed as follows according to its use. That is, dyeing using dyes such as disperse dyes, hard coat agents mainly composed of sols of silane coupling agents and silicon, zirconium, antimony, aluminum, tin, tungsten, etc., or antireflection treatment by vapor deposition of thin films of metal oxides such as SiO2, TiO2, ZrO2 or coating of thin films of organic polymers, antistatic treatment, etc. It is also possible to perform processing and secondary treatment such as. The photochromic cured body (organic glass) obtained by polymerizing and curing the polymerizable composition of the present invention is composed of the above (A) radically polymerizable compound, (B) radical polymerization initiator, and (C) photochromic compound, so that the production becomes easy. In addition, while exhibiting excellent photochromic properties, the refractive index at a wavelength of 20 ° C. and 589.3 nm can be in the range of 1.49 to 1.57, and it can be used for various optical materials. In particular, it can be suitably used as a lens or a polarizing lens. [Lens] The lens made of the organic glass of the present embodiment may be used with a coating layer provided on one side or both sides as necessary. It can be preferably used as an eyeglass lens. The lens of the present embodiment is composed of a lens substrate made of the above polymerizable composition and a coating layer. Specific examples of the coating layer include a primer layer, a hard coat layer, an antireflection layer, an antifogging coat layer, an antifouling layer, a water repellent layer, and the like. These coating layers can be used alone or in combination of a plurality of coating layers in a multilayer structure. When coating layers are provided on both sides, the same coating layer or different coating layers may be provided on each side. Each of these coating layers may be used in combination with an infrared absorber for the purpose of protecting the eyes from infrared rays, a light stabilizer or an antioxidant for the purpose of improving the weather resistance of the lens, a photochromic compound, a dye or a pigment for the purpose of enhancing the fashionability of the lens, an antistatic agent, and other known additives for enhancing the performance of the lens. Regarding the layer to be coated by coating, various leveling agents for the purpose of improving coatability may be used. The primer layer is usually formed between the hard coat layer and the lens described later. The primer layer is a coating layer aimed at improving the adhesion between the hard coat layer formed thereon and the lens, and in some cases, it is also possible to improve the impact resistance. Any material can be used for the primer layer as long as it has high adhesion to the obtained lens. Usually, a primer composition mainly composed of a urethane resin, an epoxy resin, a polyester resin, a melanin resin, polyvinyl acetal, etc. is used. The primer composition may use an appropriate solvent that does not affect the lens for the purpose of adjusting the viscosity of the composition. Of course, it may be used without a solvent. The primer layer can be formed by either a coating method or a dry method. When using the coating method, after applying the primer composition to the lens by a known coating method such as spin coating or dip coating, the primer layer is formed by solidifying it. When using the dry method, it is formed by a known dry method such as CVD method or vacuum evaporation method. When forming the primer layer, for the purpose of improving adhesion, the surface of the lens may be pretreated, such as alkali treatment, plasma treatment, ultraviolet treatment, etc., if necessary. The hard coat layer is a coating layer aimed at imparting functions such as scratch resistance, abrasion resistance, moisture resistance, hot water resistance, heat resistance, and weather resistance to the lens surface. The hard coat layer generally uses a hard coat composition containing one or more oxide fine particles of an element selected from the element group of Si, Al, Sn, Sb, Ta, Ce, La, Fe, Zn, W, Zr, In, and Ti and / or one or more fine particles composed of a composite oxide of two or more elements selected from these element groups, which is an organosilicon compound having curability. The hard coat composition preferably contains at least one of amines, amino acids, metal acetylacetonate complexes, metal organic salts, perchloric acids, salts of perchloric acids, acids, metal chlorides, and polyfunctional epoxy compounds in addition to the above components. The hard coat composition may use an appropriate solvent that does not affect the lens, or may be used without a solvent. The hard coat layer is usually formed by applying a hard coat composition by a known coating method such as spin coating or dip coating and then curing it. Examples of the curing method include heat curing and curing by irradiation with energy rays such as ultraviolet rays and visible light. In order to suppress the generation of interference fringes, the refractive index of the hard coat layer preferably has a difference in refractive index from that of the lens in the range of ±0.1. The antireflection layer is usually formed on the hard coat layer as necessary. The antireflection layer includes inorganic and organic types. In the case of the inorganic type, inorganic oxides such as SiO ２ , TiO ２ are used and formed by a dry method such as vacuum evaporation, sputtering, ion plating, ion beam assist method, CVD method, etc. In the case of the organic type, a composition containing an organosilicon compound and silica-based fine particles having internal cavities is used and formed wetly. The antireflection layer can be single-layer or multi-layer. When used as a single layer, the refractive index is preferably at least 0.1 or more lower than that of the hard coat layer. In order to effectively exhibit the antireflection function, it is preferably a multi-layer antireflection film. In that case, a low refractive index film and a high refractive index film are alternately laminated. Also in this case, the refractive index difference between the low refractive index film and the high refractive index film is preferably 0.1 or more. Examples of the high refractive index film include films such as ZnO, TiO ２ , CeO ２ , Sb ２ O ５ , SnO ２ , ZrO ２ , Ta ２ O ５ . Examples of the low refractive index film include SiO ２ film. On the antireflection layer, an antifogging layer, an antifouling layer, and a water-repellent layer may be formed as needed. As methods for forming the antifogging layer, the antifouling layer, and the water-repellent layer, as long as they do not have an adverse effect on the antireflection function, the treatment methods, treatment materials, etc. are not particularly limited, and known antifogging treatment methods, antifouling treatment methods, water-repellent treatment methods, and materials can be used. For example, in the antifogging treatment method and the antifouling treatment method, there are methods of covering the surface with a surfactant, adding a hydrophilic film to the surface to make it water-absorbent, covering the surface with fine irregularities to enhance water absorption, using photocatalytic activity to make it water-absorbent, and performing superhydrophobic treatment to prevent water droplets from adhering. In addition, in the water-repellent treatment method, there are methods of forming a water-repellent treatment layer by vapor deposition or sputtering of a fluorine-containing silane compound, etc., and methods of dissolving a fluorine-containing silane compound in a solvent and then coating to form a water-repellent treatment layer. [Polarizing lens] The polarizing lens of the present embodiment includes a polarizing film and a base material layer made of organic glass formed on at least one surface of the polarizing film. The polarizing film in the present embodiment can be composed of a thermoplastic resin. Examples of the thermoplastic resin include thermoplastic polyester, thermoplastic polycarbonate, thermoplastic polyolefin, thermoplastic polyimide, etc. From the viewpoints of water resistance, heat resistance, and moldability, thermoplastic polyester and thermoplastic polycarbonate are preferred, and thermoplastic polyester is more preferred. Examples of the thermoplastic polyester include polyethylene terephthalate, polyethylene naphthalate, and polybutylene terephthalate, etc., and polyethylene terephthalate is more preferred from the viewpoints of water resistance, heat resistance, and moldability. Specific examples of the polarizing film include a dichroic dye-containing thermoplastic polyester polarizing film, an iodine-containing polyvinyl alcohol polarizing film, a dichroic dye-containing polyvinyl alcohol polarizing film, etc. The polarizing film may be used after being heat-treated for drying and stabilization. Furthermore, in order to improve the adhesion with the acrylic resin, the polarizing film may be used after performing one or more pretreatment selected from primer coating treatment, chemical treatment (chemical liquid treatment such as gas or alkali), corona discharge treatment, plasma treatment, ultraviolet irradiation treatment, electron beam irradiation treatment, roughening treatment, flame treatment, etc. Among such pretreatment, one or more selected from primer coating treatment, chemical treatment, corona discharge treatment, and plasma treatment are particularly preferable. The polarizing lens of the present embodiment can be obtained by providing a base material layer made of an organic glass obtained by curing the polymerizable composition of the present embodiment on at least one surface of such a polarizing film. The manufacturing method of the plastic polarizing lens is not particularly limited, but preferably the casting polymerization method can be mentioned. The manufacturing method of the plastic polarizing lens of the present embodiment is, for example, a step of fixing the polarizing film in a lens casting mold in a state separated from the mold, a step of injecting the polymerizable composition into at least one of the voids formed between the polarizing film and the mold, a step of polymerizing and curing the polymerizable composition to laminate a base material layer on at least one surface of the polarizing film, and can include. The lens casting mold is generally composed of two substantially disk-shaped glass molds held by a gasket. In the space of this lens casting mold, the polarizing film is installed so that the film surface is parallel to the inner surface of the front mold facing each other. A void is formed between the polarizing film and the mold. The polarizing film may be pre-shaped. The polymerization conditions of the polymerizable composition vary depending on the composition of the polymerizable composition, the type and amount of the catalyst, the shape of the mold, etc., but are carried out at a temperature of 5 to 140 ° C. over 1 to 50 hours. In some cases, it is preferable to hold or gradually raise the temperature in the temperature range of 5 to 130 ° C. and cure it in 1 to 25 hours. The laminate cured by polymerization can be released from the mold to obtain the polarizing lens of the present embodiment. In this embodiment, the laminate after polymerization and release may be subjected to heat treatment such as annealing as necessary. From the viewpoint of the effects of the present invention, the treatment temperature is carried out between 90 and 150°C, preferably between 110 and 130°C, and more preferably between 115 and 125°C. From the viewpoint of the effects of the present invention, the treatment time is in the range of 1 to 10 hours, preferably 2 to 5 hours. In addition, the same coating layer as that of the lens may be formed on the surface of the obtained base material layer. Hereinafter, the present invention will be described with reference to Examples and Comparative Examples, but the present invention is not limited to these Examples. Examples 1 to 9, Comparative Examples 1 to 6 The (A) radically polymerizable compound, (C) photochromic compound, and other additive components shown in Examples 1 to 9 and Comparative Examples 1 to 6 in Table 1 were sufficiently mixed at 70°C. This mixed solution was cooled to room temperature, and (B) a radical polymerization initiator was added and mixed at room temperature until homogenized. These blending ratios are shown in Table 1. The mixed solution containing this photochromic compound was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape, and cast polymerization was carried out. The polymerization was carried out using an air furnace, and the temperature was gradually increased for polymerization. After the polymerization was completed, the mold was removed from the air furnace, allowed to cool, and the cured body was removed from the glass mold of the mold. The resin yellowness and photochromic properties of the obtained photochromic cured body were tested by the following methods. The results are shown in Table 2. (2) Resin yellowness (YI) The YI of the obtained photochromic cured body (thickness 2 mm) was measured with a spectrophotometer CM-5 manufactured by Konica Minolta. (3) Photochromic properties Light transmittance at 550 nm after color development: Using a light source device (illuminance 50000 lx) of a MC-2563 xenon lamp (180 W) manufactured by Otsuka Electronics Co., Ltd., the spectrum when the obtained photochromic cured body (thickness 2 mm) was colored at 23°C for 5 minutes was measured with an MCPD-7700 transmission measurement system. The photochromic performance was evaluated by the pre-color development transmittance, the post-color development transmittance, and the change amount of the transmittance before and after color development. Since the maximum absorption wavelength (λmax) at the time of color development varies depending on the photochromic compound, the photochromic performance was evaluated based on the transmittance at λmax. The lower the transmittance after color development, the higher the light-shielding property during color development, and the greater the change in transmittance before and after color development, the higher the concentration difference before and after color development, indicating high photochromic performance. (4) Using an Abbe refractometer manufactured by Atago Co., Ltd., the refractive index of the cured product at 20 °C with a wavelength of 589.3 nm was measured. All the cured products of Examples 1 to 7 and Comparative Examples 1 to 6 had a refractive index of 1.500 ± 0.002, and the cured products of Examples 8 and 9 had a refractive index of 1.550 ± 0.002. (Raw materials used) Polymerizable compound - RAV 7MC (Poly(allyl carbonate) compound and its oligomer of diethylene glycol, neopentyl glycol, and pentaerythritol, manufactured by ACOMON) - RAV 7AT (Poly(allyl carbonate) compound and its oligomer of diethylene glycol and pentaerythritol, manufactured by ACOMON) - RAV 7NG (Poly(allyl carbonate) compound and its oligomer of diethylene glycol and pentaerythritol, manufactured by ACOMON) - RAV 755T (A mixture of an allyl ester compound, an allyl carbonate compound, and a compound having an allyl ester group and an allyl carbonate group obtained by transesterification of dimethyl terephthalate, allyl alcohol, diallyl carbonate, and diethylene glycol, manufactured by ACOMON) Radical polymerization initiator - LUPEROX TAEC (OO-(t-amyl)-O-(2-ethylhexyl) monoperoxycarbonate, manufactured by Arkema) - PERHEXA HC (1,1-bis(t-hexylperoxy)cyclohexane, manufactured by NOF Corporation) - LUPEROX 570 (t-amylperoxy isononanoate, manufactured by Arkema Kifu Co., Ltd.) - TRIGONOX ADC-NS30 (a solution of diethylene glycol bis(allyl carbonate) containing 30 parts by weight in total of isopropyl isobutyl peroxydicarbonate, diisopropyl peroxydicarbonate and diisobutyl peroxydicarbonate, manufactured by AkzoNobel) Photochromic compound - Reversacol Heath Green (polyoxyalkylene chain, naphthopyran chromophore (general formula 11)) - Reversacol Wembley Grey (polyoxyalkylene chain, naphthopyran chromophore (general formula 11)) - Reversacol Pennine Green (polydimethylsiloxane chain, naphthopyran chromophore (general formula 11)) - Reversacol Humber Blue (polydimethylsiloxane chain, naphthopyran chromophore (general formula 11)) (Example 1) To 99.1 parts by weight of commercially available poly(allyl carbonate) RAV 7NG (manufactured by ACOMON), 0.035 parts by weight of the photochromic compound Reversacol Heath Green (product name, manufactured by Vivimed), 0.065 parts by weight of Reversacol Wembley Grey (product name, manufactured by Vivimed), and 0.15 parts by weight of 2-hydroxy-4-methoxybenzophenone (product name, SEESORB 101, manufactured by Cipro Kasei Co., Ltd.) were dissolved at 70 °C. After cooling to room temperature, 0.9 parts by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape. Polymerization was carried out for 24 hours while gradually increasing the temperature from room temperature to 110 °C. Thereafter, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 4.1 and it was light yellow. The transmittance after color development at λmax was 29.6%, and the change in transmittance before and after color development was 58.4%. (Example 2) To 99.1 parts by weight of commercially available poly(allyl carbonate) RAV 7NG (manufactured by ACOMON), 0.035 parts by weight of photochromic compound Reversacol Heath Green (product name, manufactured by Vivimed), 0.065 parts by weight of Reversacol Wembley Grey (product name, manufactured by Vivimed), 0.15 parts by weight of 2-hydroxy-4-methoxybenzophenone (product name: SEESORB 101, manufactured by Cipro Kasei Co., Ltd.), 2.5 ppm of 1,4-bis[(2,6-diethyl-4-methylphenyl)amino]-9,10-anthraquinone (product name: Macrolex Blue RR, manufactured by Lanxess), and 2.5 ppm of 1,4-diamino-2,3-phenoxy-9,10-anthraquinone (product name: Solvaperrm Red Violet R, manufactured by Clariant) were dissolved at 70 °C. After cooling to room temperature, 0.9 parts by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape, and polymerized for 24 hours while gradually raising the temperature from room temperature to 110 °C. Then, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 1.7 and it was a neutral color. The transmittance after color development at λmax was 29.3%, and the change in transmittance before and after color development was 57.4%. (Example 3) To 98.8 parts by weight of commercially available poly(allyl carbonate) RAV 7NG (manufactured by ACOMON), 0.035 part by weight of the photochromic compound Reversacol Heath Green (product name, manufactured by Vivimed), 0.065 part by weight of Reversacol Wembley Grey (product name, manufactured by Vivimed), and 0.15 part by weight of 2-hydroxy-4-methoxybenzophenone (product name: SEE-SORB 101, manufactured by Shipro Kasei Co., Ltd.) were dissolved at 70 °C. After cooling to room temperature, 1.2 parts by weight of PERHEXA HC (product name, manufactured by NOF Corporation) was added as a curing agent, and the mixture was poured into a mold formed by winding the outer peripheries of two disk-shaped glass plates with adhesive tape. Polymerization was carried out for 24 hours while gradually raising the temperature from room temperature to 100 °C. Thereafter, the molded body was demolded and post-polymerized by heating at 110 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 4.8 and it was pale yellow. The transmittance after color development at λmax was 30.1%, and the change in transmittance before and after color development was 56.7%. (Example 4) To 98.8 parts by weight of commercially available poly(allyl carbonate) RAV 7NG (manufactured by ACOMON), 0.03 part by weight of the photochromic compound Reversacol Heath Green (product name, manufactured by Vivimed) and 0.06 part by weight of Reversacol Wembley Grey (product name, manufactured by Vivimed) were dissolved at 70 °C. After cooling to room temperature, 1.2 parts by weight of LUPEROX 570 (product name, manufactured by Arkema Kigyō Co., Ltd.) was added as a curing agent, and the mixture was poured into a mold formed by winding the outer peripheries of two disk-shaped glass plates with adhesive tape. Polymerization was carried out for 24 hours while gradually raising the temperature from room temperature to 110 °C. Thereafter, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 3.8 and it was pale yellow. The transmittance after color development at λmax was 27.8%, and the change in transmittance before and after color development was 59.6%. (Example 5) To a mixture of 69.4 parts by weight of commercially available poly(allyl carbonate) RAV 7AT (manufactured by ACOMON) and 29.7 parts by weight of commercially available poly(allyl carbonate) RAV 7MC (manufactured by ACOMON), 0.03 part by weight of the photochromic compound Reversacol Heath Green (product name, manufactured by Vivimed), 0.06 part by weight of Reversacol Wembley Grey (product name, manufactured by Vivimed), and 0.2 part by weight of 2-hydroxy-4-methoxybenzophenone (product name: SEE-SORB 101, manufactured by Cipro Kasei Co., Ltd.) were dissolved at 70 °C. After cooling to room temperature, 0.9 part by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape. Polymerization was carried out for 24 hours while gradually raising the temperature from room temperature to 120 °C. Thereafter, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 4.0 and it was pale yellow. The transmittance after color development at λmax was 33.7%, and the change in transmittance before and after color development was 53.2%. (Example 6) To 99.2 parts by weight of commercially available poly(allyl carbonate) RAV 7MC (manufactured by ACOMON), 0.046 part by weight of the photochromic compound Reversacol Pennine Green (product name, manufactured by Vivimed) was dissolved at 70 °C. After cooling to room temperature, 0.8 part by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape. Polymerization was carried out for 24 hours while gradually raising the temperature from room temperature to 120 °C. Thereafter, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 3.7 and it was pale yellow. The transmittance after color development at λmax was 45.4%, and the change in transmittance before and after color development was 44.1%. (Example 7) A flat plate with a thickness of 2 mm was obtained in the same manner as in Example 6, except that the photochromic compound was changed from Reversacol Pennine Green (product name, manufactured by Vivimed) to Reversacol Humber Blue (product name, manufactured by Vivimed). The YI of the obtained resin was 2.6 and it was light yellow. The transmittance after color development at λmax was 66.3%, and the change in transmittance before and after color development was 24.5%. (Example 8) To 99.2 parts by weight of commercially available RAV 755T (manufactured by ACOMON), a mixture of poly(allyl ester) and poly(allyl carbonate) (manufactured by ACOMON), 0.046 part by weight of the photochromic compound Reversacol Pennine Green (product name, manufactured by Vivimed) was dissolved at 70 °C. After cooling to room temperature, 0.8 part by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wound with adhesive tape, and polymerized for 24 hours while gradually raising the temperature from room temperature to 120 °C. Then, the molded body was demolded and post-polymerized by heating at 120 °C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 2.8 and it was light yellow. The transmittance after color development at λmax was 35.5%, and the change in transmittance before and after color development was 52.4%. (Example 9) A flat plate with a thickness of 2 mm was obtained in the same manner as in Example 8, except that the photochromic compound was changed from Reversacol Pennine Green (product name, manufactured by Vivimed) to Reversacol Humber Blue (product name, manufactured by Vivimed). The YI of the obtained resin was 3.2 and it was light yellow. The transmittance after color development at λmax was 63.0%, and the change in transmittance before and after color development was 26.4%. (Comparative Example 1) To 90 parts by weight of commercially available poly(allyl carbonate) RAV 7MC (manufactured by ACOMON), 0.046 part by weight of the photochromic compound Reversacol Pennine Green (product name, manufactured by Vivimed) was dissolved at 70°C. After cooling to room temperature, 10 parts by weight of TRIGONOX ADC-NS30 (product name, manufactured by AkzoNobel) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wrapped with adhesive tape. Polymerization was carried out for 20 hours while gradually raising the temperature from room temperature to 80°C. Thereafter, the molded body was demolded and post-polymerized by heating at 110°C for 2 hours to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 13.7 and it was dark yellow. The transmittance after color development at λmax was 77.4%, and the change in transmittance before and after color development was 1.0%. (Comparative Example 2) A flat plate with a thickness of 2 mm was obtained in the same manner as in Comparative Example 1, except that the photochromic compound Reversacol Pennine Green (product name, manufactured by Vivimed) was replaced with Reversacol Humber Blue (product name, manufactured by Vivimed). The YI of the obtained resin was 7.6 and it was yellow. The transmittance after color development at λmax was 87.6%, and the change in transmittance before and after color development was 3.7%. (Comparative Example 3) To 99.2 parts by weight of commercially available poly(allyl carbonate) RAV 7MC (manufactured by ACOMON), 0.046 part by weight of the photochromic compound CR49 (manufactured by Corning) was dissolved at 70°C. After cooling to room temperature, 0.8 part by weight of LUPEROX TAEC (product name, manufactured by Arkema) was added as a curing agent, and the mixture was poured into a mold in which the outer peripheries of two disk-shaped glass plates were wrapped with adhesive tape. Polymerization was carried out for 24 hours while gradually raising the temperature from room temperature to 110°C. Thereafter, the molded body was demolded and post-polymerized by heating at 120°C for 1 hour to obtain a flat plate with a thickness of 2 mm. The YI of the obtained resin was 36.3 and it was yellowish brown. The transmittance after color development at λmax was 62.7%, and the change in transmittance before and after color development was 22.5%. (Comparative Example 4) A flat plate with a thickness of 2 mm was obtained in the same manner as in Comparative Example 3, except that the photochromic compound was changed from CR49 (manufactured by Corning) to CR59 (manufactured by Corning). The YI of the obtained resin was 16.6 and it was dark yellow. The transmittance after color development at λmax was 29.3%, and the change in transmittance before and after color development was 47.2%. (Comparative Example 5) A flat plate with a thickness of 2 mm was obtained in the same manner as in Comparative Example 3, except that the photochromic compound was changed from CR49 (manufactured by Corning) to CR173 (manufactured by Corning). The YI of the obtained resin was 8.1 and it was yellow. The transmittance after color development at λmax was 74.9%, and the change in transmittance before and after color development was 16.9%. (Comparative Example 6) A flat plate with a thickness of 2 mm was obtained in the same manner as in Comparative Example 3, except that the photochromic compound was changed from CR49 (manufactured by Corning) to CR209 (manufactured by Corning). The YI of the obtained resin was 10.4 and it was yellow. The transmittance after color development at λmax was 52.0%, and the change in transmittance before and after color development was 22.9%. It was presumed that similar results would also be obtained in the case of polarized lenses. This application claims the priority based on Japanese Patent Application No. 2015-183493 filed on September 16, 2015, and the priority based on Japanese Patent Application No. 2015-240356 filed on December 9, 2015, and incorporates all of the disclosures herein.