• pradyumnaḥ — Pradyumna
  Rukmiṇī's son, the first among the eighteen mahā-rathas. Gauḍīyas identify him as Kāmadeva returned — and in Pañcarātra theology he is one of Bhagavān's catur-vyūha expansions (Vāsudeva, Saṅkarṣaṇa, Pradyumna, Aniruddha). His name carries deity-level weight.
• aniruddhaḥ — Aniruddha
  Pradyumna's son, Rukmavatī's grandson. Also a catur-vyūha-mūrti. Aniruddha means 'unobstructed.' Gauḍīya theology (Jīva Gosvāmī, Bhagavat-sandarbha) reads the catur-vyūha as Bhagavān's expansions for cosmic functions.
• sāmbaḥ — Sāmba
  Son of Jāmbavatī. He plays a central — and unflattering — role in canto 11's account of the Yadu dynasty's end (he pretends to be a pregnant woman, gets cursed by sages, generates the club that destroys the Yadus). The naming here foreshadows that finale.
• kaviḥ — Kavi (the wise one)
  Sanskrit for poet/seer. One of Kṛṣṇa's sons bears the name kavi — fitting for a dynasty in which 38 million teachers (verse 41) educated the children. Names declare destinies in Sanskrit genealogies.

The eighteen names are read out — Pradyumna, Aniruddha, Sāmba, and so on. Bhāgavatam refuses generality at the close of Canto 10: even the secondary genealogies are kept. Each Vaiṣṇava soul has a name; even the dynasty's footnotes are sacred.