Lambdadelta, in the Sea of Fragments, can create concepts for herself by merely thinking.
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Probability Manipulation:
Lambdadelta, as the Witch of Certainty, possesses the polar opposite to Bernkastel's power of Miracles. She can make anything happen with nigh-absolute certainty. Bernkastel acknowledges this and calls her power terrifying.
As a measure of how powerful Bernkastel is, she can one-shot End-of-Series Battler Ushiromiya, who can completely no-sell multiple big-bang, planet-creation, and big-crunch events on a scale of the City of Books.
Time Manipulation:
She can stop time easily, and this is also from her nature as a higher-dimensional being.
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Authorial Power:
Lambdadelta bestows the Magic of Certainty onto Jessica Ushiromiya's script. This script effectively creates a new universe (the world of the script) through Lambda's magic, and imprisons Jessica, Shannon, and Battler within. Lambda's magic ensures that the script has absolute authority over the world, and that it cannot be denied until the story plays out.
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Control over fate and destiny
To beings on Lambdadelta's level, Fate and Destiny are but playthings.
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Popcorn Shields:
I know, it sounds ridiculous. Lambdadelta's popcorn shields, however, are powerful. They blocked the blades of Dlanor A. Knox, High Inquisitor of Heresy.
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This is significant because Dlanor's blades are conceptual weapons, able to deny the existence of even concepts, or things on that level. The Red Key especially is the most powerful of all, it renders the concepts of defense, dodge, and time to react all invalid.
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What makes this even more impressive is when you consider how fast Dlanor is. She fights on an even speed front with Battler, where the concept of distance quickly becomes meaningless.
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Immortality:
Even after being dismembered by Featherine, who rewrote the plot of the story to kill her, Lambdadelta survives through her seperate body parts, of which she is capable of controlling independently. Bernkastel helps sew her back together.
Black Hole creation
One of Lambda's most well known moves. She creates a sphere of super-concentrated Gravity. These spheres are so powerful they consume Bernkastel's Leviathans (that are massive even on the scale of fragments in the City of Books) and draw in multiple fragments in the City of Books. She eventually draws Bernkastel herself in and transforms the "Black Hole" into a sweet and consumes it all (except Bernkastel, of course).
The manga reflects this.
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Big Bangs:
In the City of Books, where books are Fragments, Lambdadelta squares off with Bernkastel. Their fight results in numerous Big Bang and Big Crunch-level events, with the gestation of multiple resulting universes and countless galaxies. The fight was likened to two gods trying to prove who could create Universes better.
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Lambadelta's Sweets:
They can ignite universes on the scale of the City of Books. She ignites a small universe in Bernkastel's stomach with a chipped cookie.
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Energy Projection:
Can fire massive blasts that destroy Bernkastel's leviathans, which are massive even within the City of Books, effectively dwarfing Book-fragments.
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Celestial Body Creation:
Lambda, in her most glorious moment, stands against Featherine Augustus Aurora, The Great Witch of Drama, Theatregoing and Spectating and the most powerful being in Umineko. With a gesture, she instantly creates entire stars and planets to orbit her, each effectively the size of several Book-fragments, and prepares to hurl them at Featherine.
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Empowerment / Elevation:
Lambdadelta is capable of presenting humans with wishes, enough to end universes and birth them. Even to elevate them to the level where their endeavors will certainly become reality (essentially, godhood)- however, she is cruel in that she never said or dictated how long they would take.
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Removal of Power:
Lambdadelta chastises Beatrice for the shoddy scenarios she has played up until now. She reminds Beatrice that only by her favor does she maintain her position as game master / territory lord of her multiversal catbox of endless parallel worlds, affording her nigh-absolute control over it. Essentially, Lambda tells Beatrice to get her act together, or she will demote her back to being nothing more than the mere human she was before Lambda deigned to elevate her to the lofty status she holds, and imprison her in the most lowly of fragments, to which Beatrice acknowledges in fear.
