PostgreSQL how to find row IDs based on aggregated metrics - sql

Question

I have a table in a PostgreSQL database that looks more or less like this:
ID
Side
Amount
Price
1
BUY
8
107295.000000000
2
SELL
18
107300.000000000
3
SELL
21
107305.000000000
4
BUY
17
107310.000000000
And I have some aggregated metrics that look like this:
{'BUY': {'amount_sum': 6655, 'price_avg': 105961.497370398197}, 'SELL': {'amount_sum': 6655, 'price_avg': 106214.787377911345}}
And I need to find the row IDs that match these metrics. How would I go about doing this?
I've read a bit into PostgreSQL documentation and I've tried using GROUP BY on SIDE, then using the HAVING clause, but wasn't successful.
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To clarify, given this table and input:
ID
Side
Amount
Price
1
BUY
2
1
2
SELL
1
2
3
SELL
2
1
4
BUY
1
3
5
SELL
8
1
6
BUY
5
2
{'BUY': {'amount_sum': 3, 'price_avg': 2}, 'SELL': {'amount_sum': 10, 'price_avg': 1}}
I would the expected output to be:
BUY: ids[1,4] SELL: ids[3,5] that's because for ids 1 and 4, which have side as BUY, the sum of the amount column is 3, and the average of the price column is 2. And for ids 3 and 5, which have side as SELL, the sum of the amount column is 10, and the average of the price column is 1.

Answer 1

#Gabriel Tkacz, I have not 50 reputaton to comment) and ask my question as "answer".
From input table was expected:
{'BUY':{ 'Ids':[1,4,6]','amount_sum':8','price_avg':2}
{'SELL':{ 'Ids':[2,3,5]','amount_sum':11','price_avg':1.3333333333333333}
why excluded [6] on BUY side and [2] on SELL side in your explanation
BUY: ids[1,4] SELL: ids[3,5]