Dirichlet character \(\chi_{160083}(13381,\cdot)\)

• Label: 160083.13381
• Modulus: $160083$
• Conductor: $160083$
• Order: $3465$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(160083\)
Conductor:	\(160083\)
Order:	\(3465\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 160083.sw

\(\chi_{160083}(25,\cdot)\) \(\chi_{160083}(58,\cdot)\) \(\chi_{160083}(247,\cdot)\) \(\chi_{160083}(466,\cdot)\) \(\chi_{160083}(499,\cdot)\) \(\chi_{160083}(592,\cdot)\) \(\chi_{160083}(625,\cdot)\) \(\chi_{160083}(718,\cdot)\) \(\chi_{160083}(751,\cdot)\) \(\chi_{160083}(907,\cdot)\) \(\chi_{160083}(940,\cdot)\) \(\chi_{160083}(1159,\cdot)\) \(\chi_{160083}(1192,\cdot)\) \(\chi_{160083}(1285,\cdot)\) \(\chi_{160083}(1318,\cdot)\) \(\chi_{160083}(1411,\cdot)\) \(\chi_{160083}(1444,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{3465})$
Fixed field:	Number field defined by a degree 3465 polynomial (not computed)

Values on generators

\((130439,19603,19846)\) → \((e\left(\frac{2}{9}\right),e\left(\frac{5}{21}\right),e\left(\frac{47}{55}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(13\)	\(16\)	\(17\)	\(19\)	\(20\)
\( \chi_{ 160083 }(13381, a) \)	\(1\)	\(1\)	\(e\left(\frac{926}{3465}\right)\)	\(e\left(\frac{1852}{3465}\right)\)	\(e\left(\frac{874}{3465}\right)\)	\(e\left(\frac{926}{1155}\right)\)	\(e\left(\frac{40}{77}\right)\)	\(e\left(\frac{3271}{3465}\right)\)	\(e\left(\frac{239}{3465}\right)\)	\(e\left(\frac{61}{385}\right)\)	\(e\left(\frac{51}{55}\right)\)	\(e\left(\frac{2726}{3465}\right)\)