As the conjoined Kenda gems turn to dust, Nyxara wills that the heliodor remains:

Daring Heliodor I
Rarity: Rare
Requires Attunement
Weapon
A weapon with this Kenda Gem inserted into its gemsocket grants two benefits:
• The weapon has +1 to hit.
• On a hit, the weapon briefly creates an electrical discharge and deals an extra 1d8 lightning damage.
Armor / Clothing
Wearing armor or clothing with this Kenda Gem inserted into its gemsocket grants three benefits:
• +1 AC
• When you roll a death save, you also roll a d12. You can replace the result of the d20 with that of the d12.
• You can doff the armor or clothing as an action.
Upgrade: Daring Heliodor II

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The variable lustrate star has to collapse into a stable form, and Nyxara wills it into an Impulsive Lustrate star:

Impulsive Lustrate Star
Symbol: Enneagram 9/4
Rarity: Rare
Requires Attunement
Star: Rising Red Omnifuser
Spell Lens. If this lustrate star is your Spell Lens, you can choose to channel your spells through it. Whenever you do, add 1 to spell attack rolls and to the saving throw DCs of your spells and roll a Spelldie and consult the Spelldie chart, and the Star Avatar becomes active.
Star Avatar. This star’s avatar is a reddish-orange star image the size of a cantaloupe that sheds light as a light spell as it swirls around you. Once on your turn while it is active, you can cause it to burn a target within five feet of you for 1d6 fire damage. It remains active until you stop concentrating on the spell you cast or until the end of your next turn, whichever occurs later.
Ki Power. Add +1 to the DC of your Ki Features that are not spells. If you have more than one Ki Power effect, only the strongest one applies.
Shield. +1 AC
If you and an ally you can see within 20 feet are both targets of an effect that affects an area and that causes you both to make a saving throw, you can use your reaction to grant both you and your ally advantage on the saving throw.
If the inscribed shield is damaged, the lustrate star repairs it by 2 hit points every dawn, and it has twice as many hitpoints as it normally would.


Spelldie
d12 Effect
1 Sudden Heighten. You can give one target of the spell disadvantage on its first saving throw made against the spell.
2 -
3 -
4 -
5 Upcast (1). You can treat the spell slot being expended as one level higher, to a maximum of 9th level.
6 -
7 Chaos Flare. If the spell’s duration is instantaneous, you can cause any damage it deals to be doubled.
8 -
9 -
10 Upcast (1).
11 -
12 Clearcast. The resource you used to cast the spell is not expended, such as a spell slot, or ki.
Creation requires fixation on a Red Giant.

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Additionally, the Kenda gems that did not make it became conjunctive reagants.
To go from Common to Uncommon requires 1 conjunctive reagent.
To go from Uncommon to Rare requires 12 conjunctive reagents.
To go from Rare to Very Rare requires 120 conjunctive reagents.

Using the one conjunctive reagant, the Shining Pure Corundum become Perfect Pure Corundum. Upgrading from common to uncommon is going to be instant; more substantial upgrades will take time and some level of magical expertise.


Perfect Pure Corundum
Rarity: Uncommon
Requires Attunement
Weapon
A weapon with this Kenda Gem inserted into its gemsocket will heed a command work spoken with a bonus action, causing the weapon to become energized. While energized, the weapon glows, shedding dim light for 5 feet. While the weapon is energized, it deals an extra 1d4 damage to any target it hits. The weapon remains energized until you use a bonus action to speak the command word again or until you drop or sheathe the weapon.
Armor / Clothing
Wearing armor or clothing with this Kenda Gem inserted into its gemsocket grants two benefits:
• You can doff the armor or clothing as an action.
• You have a +4 bonus to initiative.
Upgrade: Earth Green Sapphire I, Fire Ruby I, Water Sapphire I, Air Yellow Sapphire I