עֲלַל

Daniel 2:16 עַ֖ל he went in

So Daniel went in and asked the king to give him some time, so that he could give him the interpretation.

Daniel 2:24 עַ֣ל הַעֵ֙לְנִי֙ he went in, bring in me

Therefore Daniel went to Arioch, whom the king had appointed to destroy the wise men of Babylon, and said to him, “Do not execute the wise men of Babylon! Bring me before the king, and I will give him the interpretation.”

Daniel 2:25 הַנְעֵ֥ל he brought in

Arioch hastily brought Daniel before the king and said to him, “I have found a man among the exiles from Judah who will tell the king the interpretation.”

Daniel 4:6 לְהַנְעָלָ֣ה to bring in

So I issued a decree that all the wise men of Babylon be brought before me to interpret the dream for me.

Daniel 4:7 עָלִּ֗ין [were] going in

When the magicians, enchanters, astrologers, and diviners came in, I told them the dream, but they could not interpret it for me.

Daniel 4:8 עַל֩ he came in

But at last, into my presence came Daniel (whose name is Belteshazzar after the name of my god, and in whom is the spirit of the holy gods). And I told him the dream:

Here: 'He came in.' The same verb is used of the failed experts in v.7 ('came in'), so the two entrances are set side by side.

Daniel 5:7 לְהֶֽעָלָה֙ to bring in

The king called out for the enchanters, astrologers, and diviners to be brought in, and he said to these wise men of Babylon, “Whoever reads this inscription and tells me its interpretation will be clothed in purple and have a gold chain placed around his neck, and he will be made the third highest ruler in the kingdom.”

Here: 'To bring in': he orders the specialists to be summoned into the banqueting hall.

Daniel 5:8 עָֽלִּ֔ין [were] going in

So all the king’s wise men came in, but they could not read the inscription or interpret it for him.

Daniel 5:10 עַלַּ֑ת she went in

Hearing the outcry of the king and his nobles, the queen entered the banquet hall. “O king, may you live forever!” she said. “Do not let your thoughts terrify you, or your face grow pale.

Daniel 5:13 הֻעַ֖ל he was brought

So Daniel was brought before the king, who asked him, “Are you Daniel, one of the exiles my father the king brought from Judah?

Daniel 5:15 הֻעַ֣לּוּ they have been brought

Now the wise men and enchanters were brought before me to read this inscription and interpret it for me, but they could not give its interpretation.

Here: A passive causative form, 'they were made to come in.' The experts did not drop by; they were summoned into the royal presence (compare v.8, 'all the king's wise men came in').

Daniel 6:10 עַ֣ל he went in

Now when Daniel learned that the document had been signed, he went into his house, where the windows of his upper room opened toward Jerusalem, and three times a day he got down on his knees, prayed, and gave thanks to his God, just as he had done before.

Here: A verb meaning 'enter', not 'go up'. Daniel goes home. YLT's 'gone up' blurs it with the upper room mentioned next.

Daniel 6:18 הַנְעֵ֣ל he brought in

Then the king went to his palace and spent the night fasting. No entertainment was brought before him, and sleep fled from him.