Dirichlet character \(\chi_{24648}(83,\cdot)\)

• Label: 24648.83
• Modulus: $24648$
• Conductor: $24648$
• Order: $156$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(24648\)
Conductor:	\(24648\)
Order:	\(156\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 24648.qg

\(\chi_{24648}(83,\cdot)\) \(\chi_{24648}(203,\cdot)\) \(\chi_{24648}(1763,\cdot)\) \(\chi_{24648}(2579,\cdot)\) \(\chi_{24648}(2699,\cdot)\) \(\chi_{24648}(3011,\cdot)\) \(\chi_{24648}(3323,\cdot)\) \(\chi_{24648}(3947,\cdot)\) \(\chi_{24648}(4139,\cdot)\) \(\chi_{24648}(4259,\cdot)\) \(\chi_{24648}(5075,\cdot)\) \(\chi_{24648}(5699,\cdot)\) \(\chi_{24648}(6443,\cdot)\) \(\chi_{24648}(6755,\cdot)\) \(\chi_{24648}(7067,\cdot)\) \(\chi_{24648}(7379,\cdot)\) \(\chi_{24648}(8315,\cdot)\) \(\chi_{24648}(8627,\cdot)\) \(\chi_{24648}(8819,\cdot)\) \(\chi_{24648}(9443,\cdot)\) \(\chi_{24648}(9563,\cdot)\) \(\chi_{24648}(10691,\cdot)\) \(\chi_{24648}(12059,\cdot)\) \(\chi_{24648}(12563,\cdot)\) \(\chi_{24648}(13187,\cdot)\) \(\chi_{24648}(13619,\cdot)\) \(\chi_{24648}(14555,\cdot)\) \(\chi_{24648}(15059,\cdot)\) \(\chi_{24648}(15179,\cdot)\) \(\chi_{24648}(15371,\cdot)\) ...

Related number fields

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

Values on generators

\((18487,12325,16433,11377,12169)\) → \((-1,-1,-1,-i,e\left(\frac{4}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 24648 }(83, a) \)	\(-1\)	\(1\)	\(e\left(\frac{17}{156}\right)\)	\(e\left(\frac{29}{156}\right)\)	\(e\left(\frac{113}{156}\right)\)	\(e\left(\frac{2}{13}\right)\)	\(e\left(\frac{5}{156}\right)\)	\(e\left(\frac{1}{6}\right)\)	\(e\left(\frac{17}{78}\right)\)	\(e\left(\frac{5}{39}\right)\)	\(e\left(\frac{155}{156}\right)\)	\(e\left(\frac{23}{78}\right)\)