निर्वृत्तेऽक्षद्यूतादिभ्यः

Operational rule vidhi

The affix ठक् comes in the sense of 'completed thereby' after the words अक्षद्यूत etc. being in the Instrumental -3rd case in construction.

Word by word (padaccheda)

Right context निर्वृत्ते saptamī · ekavacanaLeft context अक्ष- द्यूत- आदिभ्यः pañcamī · bahuvacana

Right context Saptamī (7th case): "when X follows", the operation applies to what precedes (1.1.66 तस्मिन्निति निर्दिष्टे पूर्वस्य). Also a condition or domain ("in the sense of").
Left context Pañcamī (5th case): "after X", the operation applies to what follows (1.1.67 तस्मादित्युत्तरस्य). Also used for limits and sources.

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Full reading

निर्वृत्ते अक्ष-द्यूत-आदिभ्यः

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

The affix ठक् comes in the sense of 'completed thereby' after the words अक्षद्यूत etc. being in the Instrumental -3rd case in construction.
Thus अक्षद्यूतेन निर्वृत्तम् = आक्षद्यूतिकं वैरम् 'enmity -- which was growing but has been completed by gambling'. So जानुप्रहृतिकम् ॥

1 अक्षद्यूत, 2 जानुप्रहृत (प्रहूत ), 3 जङ्घाप्रहृत (प्रहूत), 4 जङ्घाप्रहत 5 पादस्वेदन, 6 कण्टकमर्दन, 7 गतानुगत, 8 गतागत, 9 यातोपयात, 10 अनुगत ॥

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.