got my Thyrus Novus.
I went +33 Pie +29 Det +10 Sp.Spd +3 Crit

My reasons:

At +33 Pie +22 Det It is already equal to the Yagrush with 20 stats remaining to be infused.

+29 Det puts it on equal Det as your Animus. This makes it better than the Yagrush. Yagrush Stats+Animus Det= with 13 stats remaining to be infused

now i thought about maxing out det but... I dont feel like spending 1m+ (savage might IV hovers around 500k on Coeurl) hoping for +2 det. So what made me decided on how to use my last 13 stats was the fact that the stats i put on now will grow with the wep from now on (I dont see a point where further down the line you would remove the stats you already worked hard to put on it and instead will take quest to improve the already infused stats.)

I dont believe crit isn't 100% bad. As long as it isn't very high on a whm, that 1 random crit can save a life. Also crit when you're dpsing is nice.

Sp.Spd isn't too bad either. helps get off that spell in the nick of time sometimes (though almost un noticable lol)

so i wanted crit to be about a 3rd of sp.spd and went 3/10. So down the line as my wep grows through the relic quest: pie always upgrades at max, det at about 90%, and sp.spd and crit growing at a small but non overwhelming amount. besides, its nice seeing 7 stats growing with my weapon lol