Fair Value of Lumens - Additional Information (Details)	Jun. 30, 2022 Xlm $ / shares	Sep. 30, 2021 Xlm $ / shares
Fair Value Disclosures [Abstract]
Investment owned balance shares held by custodian \| Xlm	75,424,502.6385351	76,848,154.9650449
XLM fair value per share \| $ / shares	$ 0.11	$ 0.28

Investment owned balance shares held by custodian.

No definition available.

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Namespace Prefix:	gxlm_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	instant