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Net Income (Loss) Per Common Share - Reconciliation of Shares Used in Calculating Basic and Diluted Net Income (Loss) per Share (Parenthetical) (Detail) - shares | 3 Months Ended | 6 Months Ended
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Jul. 31, 2025 | Aug. 03, 2024 | Jul. 31, 2025
Earnings Per Share [Abstract] |  |  |
Weighted average common stock equivalent shares outstanding | 38,232 | 86,197 | 51,130

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- Definition Weighted average common stock equivalent shares outstanding. + References No definition available. + Details
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Namespace Prefix: | alot_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_EarningsPerShareAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration