MODULAR ARITHMETIC VISUALIZER
MODULUS
n =
12
TABLE TYPE
Multiplication Table (×)
Addition Table (+)
Power Table (aᵇ)
CIRCLE VIEW
Multiplier k:
2
Show element orders
GROUP PROPERTIES
Cayley table: color by residue.
Circle: draw lines a→ka (mod n)
— creates multiplication patterns.
Quadratic residues (QR): integers
that are perfect squares mod n.
QR law: Legendre symbol (a/p).
Primitive root g: g generates
all of (Z/nZ)* if ord(g)=φ(n).
Exists iff n=1,2,4,pᵏ, or 2pᵏ.