Dirichlet character \(\chi_{8216}(525,\cdot)\)

• Label: 8216.525
• Modulus: $8216$
• Conductor: $8216$
• Order: $156$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(8216\)
Conductor:	\(8216\)
Order:	\(156\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 8216.ip

\(\chi_{8216}(5,\cdot)\) \(\chi_{8216}(421,\cdot)\) \(\chi_{8216}(437,\cdot)\) \(\chi_{8216}(525,\cdot)\) \(\chi_{8216}(629,\cdot)\) \(\chi_{8216}(645,\cdot)\) \(\chi_{8216}(941,\cdot)\) \(\chi_{8216}(957,\cdot)\) \(\chi_{8216}(1269,\cdot)\) \(\chi_{8216}(1685,\cdot)\) \(\chi_{8216}(1789,\cdot)\) \(\chi_{8216}(1893,\cdot)\) \(\chi_{8216}(2085,\cdot)\) \(\chi_{8216}(2205,\cdot)\) \(\chi_{8216}(2293,\cdot)\) \(\chi_{8216}(2917,\cdot)\) \(\chi_{8216}(3021,\cdot)\) \(\chi_{8216}(3125,\cdot)\) \(\chi_{8216}(3349,\cdot)\) \(\chi_{8216}(3437,\cdot)\) \(\chi_{8216}(3557,\cdot)\) \(\chi_{8216}(3645,\cdot)\) \(\chi_{8216}(3749,\cdot)\) \(\chi_{8216}(4061,\cdot)\) \(\chi_{8216}(4181,\cdot)\) \(\chi_{8216}(4285,\cdot)\) \(\chi_{8216}(4389,\cdot)\) \(\chi_{8216}(4701,\cdot)\) \(\chi_{8216}(4789,\cdot)\) \(\chi_{8216}(4909,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{156})$
Fixed field:	Number field defined by a degree 156 polynomial (not computed)

Values on generators

\((2055,4109,3161,3953)\) → \((1,-1,-i,e\left(\frac{11}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(7\)	\(9\)	\(11\)	\(15\)	\(17\)	\(19\)	\(21\)	\(23\)
\( \chi_{ 8216 }(525, a) \)	\(-1\)	\(1\)	\(e\left(\frac{61}{78}\right)\)	\(e\left(\frac{115}{156}\right)\)	\(e\left(\frac{31}{156}\right)\)	\(e\left(\frac{22}{39}\right)\)	\(e\left(\frac{145}{156}\right)\)	\(e\left(\frac{27}{52}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{43}{156}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{5}{6}\right)\)