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Marketable Securities and Fair Value Measurements - Additional Information (Detail) - USD ($)	3 Months Ended		9 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Marketable Securities [Line Items]
Net unrealized gains (losses)	$ (3,855,000)	$ (219,000)	$ (5,386,000)	$ 2,284,000
Transfers of investments between Level 1 and Level 2	$ 0	$ 0	$ 0	$ 0

X

- Definition

Transfers of investments between Level 1 and Level 2.

+ References

No definition available.

+ Details

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Namespace Prefix:	genc_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_MarketableSecuritiesLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of unrealized gain (loss) on investment in marketable security.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(7)(c))
-URI https://asc.fasb.org/extlink&oid=126953954&loc=SL114868664-224227

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