Dirichlet character \(\chi_{30968}(8443,\cdot)\)

• Label: 30968.8443
• Modulus: $30968$
• Conductor: $30968$
• Order: $182$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(30968\)
Conductor:	\(30968\)
Order:	\(182\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 30968.jj

\(\chi_{30968}(659,\cdot)\) \(\chi_{30968}(1163,\cdot)\) \(\chi_{30968}(1779,\cdot)\) \(\chi_{30968}(2115,\cdot)\) \(\chi_{30968}(2227,\cdot)\) \(\chi_{30968}(2283,\cdot)\) \(\chi_{30968}(2507,\cdot)\) \(\chi_{30968}(2619,\cdot)\) \(\chi_{30968}(4299,\cdot)\) \(\chi_{30968}(4915,\cdot)\) \(\chi_{30968}(5083,\cdot)\) \(\chi_{30968}(5307,\cdot)\) \(\chi_{30968}(6203,\cdot)\) \(\chi_{30968}(6539,\cdot)\) \(\chi_{30968}(6651,\cdot)\) \(\chi_{30968}(6707,\cdot)\) \(\chi_{30968}(6931,\cdot)\) \(\chi_{30968}(7043,\cdot)\) \(\chi_{30968}(8443,\cdot)\) \(\chi_{30968}(9339,\cdot)\) \(\chi_{30968}(9731,\cdot)\) \(\chi_{30968}(10011,\cdot)\) \(\chi_{30968}(10627,\cdot)\) \(\chi_{30968}(10963,\cdot)\) \(\chi_{30968}(11131,\cdot)\) \(\chi_{30968}(11355,\cdot)\) \(\chi_{30968}(12867,\cdot)\) \(\chi_{30968}(13147,\cdot)\) \(\chi_{30968}(13763,\cdot)\) \(\chi_{30968}(13931,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{91})$
Fixed field:	Number field defined by a degree 182 polynomial (not computed)

Values on generators

\((7743,15485,18329,20385)\) → \((-1,-1,e\left(\frac{5}{7}\right),e\left(\frac{9}{26}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(23\)	\(25\)
\( \chi_{ 30968 }(8443, a) \)	\(1\)	\(1\)	\(e\left(\frac{11}{182}\right)\)	\(e\left(\frac{123}{182}\right)\)	\(e\left(\frac{11}{91}\right)\)	\(e\left(\frac{10}{91}\right)\)	\(e\left(\frac{153}{182}\right)\)	\(e\left(\frac{67}{91}\right)\)	\(e\left(\frac{23}{182}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{9}{14}\right)\)	\(e\left(\frac{32}{91}\right)\)