This is a range of plausible supplements. Of course, one should aim for getting much of this through food (e.g. high salt food like Halloumi cheese or Kale for K2 and others) - though that can be hard, hence the supplementation. I’m listing the ones I consider CORE to keto.
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Electrolytes - CORE - Sodium (salt), Potassium (e.g. ‘No Salt’ salt replacements), Magnesium (pill or powder, many different forms - citrate, oxide, etc.) CONSIDER - Zinc, Manganese, Copper, Selenium, etc. (usually in a good multivitamin)
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Vitamins - CORE - D3 (High dose for most e.g. 4000iu), K2 (important for absorbing key minerals like Ca, Mg, etc.) - CONSIDER (depending on specific issues/gender/etc.) - B-complex, E, folate, C etc. (many in a good multivitamin)
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OTHER - Apple Cider Vinegar, Lemon juice (teaspoon of each taken in water) to reduce alkalinity which is supposed to have all kinds of negative effects on the body. You can combine these with some of the other supplements (like powdered Mg) into a KetoAde -
KetoAide homemade
There are a ton of other things you could take and drive yourself crazy but most face off against specific health issues rather than just making Keto work. Some disagree with most supplementation citing that most is not absorbed well so creating expensive pee but I do the core stuff and placebo or not, I feel better for it and keto is progressing well.
TL:DR - Good broad multivitamin, D3, K2, Mg, extra salt/No salt - of these, Mg and Hi-dose D3 are probably most requiring of supplementation (+ the multi)