The Extra's Reincarnation

With a flick of his fingers, complex symbols appeared on the board—a dizzying array of magical equations and theoretical constructs that would challenge even the most advanced students.

The formula expanded across the entire surface, glowing with an ethereal light.

"This is a theoretical formula for spell compression at the ninth magnitude. Even Master Theorists struggle with its complexities."

His eyes gleamed with malicious satisfaction as he turned to Julian.

"Solve it, Mr. Uzziel, if your 'special admission' means anything at all."

The lecture hall fell into a hushed silence. Several students exchanged uncomfortable glances, while others leaned forward with morbid curiosity. Even those who found Corvus's methods distasteful couldn't help but watch the spectacle unfold.

Julian studied the formula with his expression betraying nothing, there wasn't anything he'd do to disapprove this professor in front of him right now.

In truth, Julian had no idea how to solve something this complex.

The equation contained variables and magical theory principles he'd never encountered before.

But he had an advantage the arrogant professor couldn't have anticipated.

-System, analyze this magical equation and provide the solution.

That's right even if he has to stoop low as this man before him he'll do it without a second thought.

[Analyzing Magical Equation...]

[Solution Generated]

[Error: Solution Request Denied]

[Requirement Not Met: To access advanced magical formula solutions, user must physically interact with the magical equation]

Julian blinked in surprise. This was new. The system had never demanded a specific action from him before providing information.

Professor Corvus's smirk widened with each passing second.

"As I suspected. Perhaps you should reconsider your presence in my—"

"I need to examine it more closely,"

Without waiting for permission, he rose from his seat and approached the crystal board.

The professor's eyebrows shot up in surprise, but he made no move to stop this unexpected development.

"What's he doing?" someone whispered.

"No one approaches Corvus's boards without permission," another murmured.

Julian stood before the massive formula, acutely aware of every eye in the room fixed on him. The magical equation pulsed with ethereal light, its components swirling in patterns that seemed almost alive.

Up close, he could see the intricate connections between variables, the subtle fluctuations in the magical energy binding them together.

-System, what exactly do you mean by 'physically interact'?

[User must establish direct magical connection with the equation. Place your hand on the crystal board and channel a minimal amount of mana through your palm.]

Julian hesitated, feeling the weight of expectation from every corner of the room. Placing his hand directly on the crystal board seemed too obvious, too simple. And yet, the system had been specific.

As his fingertips approached the glowing surface, he noticed something peculiar.

"What exactly do you think you're doing, Mr. Uzziel?"

"One does not simply touch a theoretical construct of this magnitude."

"I learn better through direct interaction," Julian replied calmly, not taking his eyes off the formula.

He placed his palm flat against the crystal board, expecting to feel something—perhaps a tingling sensation or a flow of energy. Instead, nothing happened.

The board remained cool beneath his touch.

[Connection insufficient.]

Julian frowned. What was he missing?

[Specific action required: To access solution, user must perform the "Corvus Shuffle" - hop on one foot while patting your head and rubbing your stomach simultaneously for exactly 3 seconds]

Julian stared at the system message, certain he had misread it.

-You can't be serious.

[Requirement confirmed. This is not negotiable.]

Julian glanced back at the lecture hall full of expectant faces.

Professor Corvus stood with arms crossedm, Franz and Francine watched with interest from their seats, while the rest of the class waited for his inevitable failure.

"Well, Mr. Uzziel?" Corvus called.

"Has direct interaction provided the enlightenment you sought? Or perhaps you'd like to admit defeat and return to whatever remedial class would better suit your... capabilities."

Julian could walk away now, preserving his dignity but confirming Corvus's low opinion.

Or he could perform this ridiculous action and potentially solve the equation that had stumped even Master Theorists.

The choice was obvious, if mortifying.

"I believe I see the approach now," Julian said loudly, stepping back from the board.

"But solving this requires a specific focusing technique."

"A focusing technique?" Corvus repeated skeptically.

"How fascinating. And what might this technique entail?"

Julian took a deep breath.

"It's something I developed myself. It helps realign magical perception when dealing with complex compression formulas."

At this point he was simply waffling out of his ass.

Before anyone could question him further, Julian lifted his right foot off the ground, balanced precariously, and began patting the top of his head with his left hand while his right hand made circular motions on his stomach.

"…!?!"

The lecture hall erupted in stunned silence, followed immediately by scattered laughter.

"What in the name of the Great Tree—"

Corvus spluttered, his monocle nearly falling from his eye in shock.

Julian counted silently.

"One... two... three..."

[Solution accessed. Transferring to user consciousness now.]

The formula suddenly crystallized in Julian's mind with perfect clarity. Every variable, every magical constant, every theoretical principle aligned in a comprehensive framework that made absolute sense.

Julian dropped his foot back to the ground, ignoring the continued laughter, and turned to the board.

He picked up the magical stylus and began writing directly on the crystal surface.

Tap…tap…tap…

His hand moved with swift precision, rearranging variables, simplifying complex expressions, and introducing an elegant transformation that reduced the entire ninth-magnitude formula to a surprisingly compact solution.

The laughter died away as students realized what was happening.

Julian wasn't just attempting the problem—he was solving it with the assured competence of someone who understood exactly what they were doing.

When he finished, he placed the stylus down and stepped back from the board.

"This... this is impossible,"

Corvus stared at the board, his mouth dropping open in utter disbelief. The stylish arrogance that had defined his demeanor moments ago evaporated like morning dew under a scorching sun.

His fingers trembled as he reached toward the elegant solution Julian had effortlessly inscribed.

"How could a meager student like you possibly do this?"

Franz Evera's eyes had narrowed to dangerous slits, his perfect posture now slightly hunched forward as he analyzed Julian's work with newfound intensity.

Beside him, Francine's lips had parted in what appeared to be genuine surprise—an expression Julian suspected few had ever witnessed on her carefully controlled face.

"You've made an error," Corvus declared suddenly, his voice regaining some of its authoritative edge. "This compression coefficient is clearly—"

He paused mid-sentence, tracing Julian's calculations with his finger. Sweat beaded on his forehead as his eyes darted back and forth across the board, desperately searching for a mistake that wasn't there.

"No... that's..." Corvus swallowed audibly. "You've introduced a variable transformation I've never seen before."

Julian remained silent, watching as the professor's confident demeanor crumbled further with each passing second.

"This approach completely circumvents the Lochner Paradox," Corvus whispered, almost to himself. "How did you...?"

His hand reached for his communication crystal with surprising urgency.

"Professor Valerius, Professor Eidelweiss—come to Lecture Hall Seven immediately. Bring Head Of the Magic Department Albrecht if you can find him."

The students exchanged bewildered glances.

Professor Corvus calling for assistance?

The man who regularly boasted that he could solve any theoretical problem presented to him was now summoning his colleagues.

Within minutes, two additional professors burst through the doors.

Professor Valerius, a small woman with silver hair coiled in an intricate braid atop her head, and Professor Eidelweiss, whose enormous white beard seemed to enter the room several seconds before the rest of him.

"Maximilian, what's the meaning of-" Valerius began, before her eyes caught sight of the crystal board.

"By the Tree's roots..."

Eidelweiss adjusted his spectacles, blinking rapidly as he approached the board.

"Is this... is this what I think it is?"

"The Zagata Transportation Theorem,"

"The transformation of the fifth variable... it's revolutionary. And this approach to the compression matrix—I've never seen anything like it."

"It's a trick," Corvus insisted, his voice rising with desperation.

"It must be. Perhaps he memorized the solution from somewhere."

"From where, Maximilian?" Professor Valerius asked sharply.

"You know as well as I do that no solution has ever been published because none has ever been found."

By now, the entire lecture hall was absolutely stunned at the appearance of the student who showed up into a class expecting to be accepted.

Students who had previously laughed at Julian's peculiar focusing technique began imitating his movements, hoping to understand how he reached his conclusion.

"What does it mean?" a student whispered loudly.

"The Zagata Transportation Theorem—what is it?"

Professor Eidelweiss turned to address the class, his eyes still wide with wonder.

"Ziverard Zagata wasn't just a barrier specialist. He was perhaps the greatest theoretical magician who ever lived. Among his many works was a theoretical framework for transportation that wouldn't require continuous mana input."

"Self-sustaining transportation," Professor Valerius continued.

"Imagine vehicles—trains, ships, even airborne vessels—that could traverse entire continents without consuming the mana reserves of their operators or requiring external mana stations."

"It would revolutionize travel across the seven continents,"