• vivyādha — He shot
  Perfect of vi + √vyadh (to pierce). The same root as ā-vedha — initiation by piercing. Gauḍīya guru-paramparā speaks of mantra-vedha; Pradyumna's arrows have, narratively, a piercing-to-awaken function.
• svarṇa-puṅkhaiḥ — with gold-shafted
  Contiguous join (svarṇa + puṅkhaiḥ). Gold is Lakṣmī's metal; Kṛṣṇa's son's arrows carry Lakṣmī on their tails. The weapon's metallurgy itself testifies to the warrior's lineage.
• ayaḥ-mukhaiḥ — with iron heads
  Contiguous join (ayaḥ + mukhaiḥ). Iron at the head, gold on the shaft — the arrow itself is a model of the kṣatriya: hard at the point of contact, lustrous at the source of release.
• sannata-parvabhiḥ — with smooth joints
  Contiguous join (sannata + parvabhiḥ). The joints of an arrow's reed-stem must be polished or it flies untrue. Bhāgavata craftsmen of war honor detail; the verse pauses to admire the workmanship.
• dhvajinī-pālam — the commander-in-chief
  Contiguous join (dhvajinī + pālam) from synonyms. Dhvajinī — 'she who has a banner,' the army. Pradyumna strikes the banner-keeper with twenty-five, the king with a hundred — śāstric proportionality of arrows to rank.
• vāhanāni — the carriers
  Neuter plural of vāhana — mounts. Even the horses and elephants receive only three arrows each. The Bhāgavatam in passing teaches the kṣatriya-dharma of mercy toward non-combatant animals.

• Dravida Pr SB 10-76-18-27 - 2015-10-07 ISKCON Alachua
  His Grace Dravida Prabhu· 2015-10-07· English

Like an expert physician whose every dose is calibrated — twenty-five drops here, a hundred there, three for the carriers — Pradyumna's arrows are not a flood but a precise prescription. The asura's army is treated, not slaughtered.