ऋद्धनोः स्ये

Operational rule vidhi

स्य the sign of Future and Conditional gets the augment इट् after a root ending in short ऋ and after हन् 'to kill'.

Word by word (padaccheda)

Target ऋद्धनोः ṣaṣṭhī · dvivacanaRight context स्ये saptamī · ekavacana

Target Ṣaṣṭhī (6th case): names what gets replaced, "in place of X" (1.1.49 षष्ठी स्थानेयोगा).
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").

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Full reading

ऋद्धनोः स्ये

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

Commentary

स्य the sign of Future and Conditional gets the augment इट् after a root ending in short ऋ and after हन् 'to kill'.
As करिष्यति, हनिष्यति, हरिष्यति ॥ The root स्वृ takes always इट् before स्य, though it does so optionally before other affixes (see 7.2.44): as स्वरिष्यति ॥ Similarly अकरिष्यत्, अहरिष्यत्, अहनिष्यत् &c ॥

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