Dirichlet character \(\chi_{5175}(1661,\cdot)\)

• Label: 5175.1661
• Modulus: $5175$
• Conductor: $5175$
• Order: $330$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(5175\)
Conductor:	\(5175\)
Order:	\(330\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 5175.dk

\(\chi_{5175}(11,\cdot)\) \(\chi_{5175}(56,\cdot)\) \(\chi_{5175}(86,\cdot)\) \(\chi_{5175}(191,\cdot)\) \(\chi_{5175}(221,\cdot)\) \(\chi_{5175}(281,\cdot)\) \(\chi_{5175}(356,\cdot)\) \(\chi_{5175}(536,\cdot)\) \(\chi_{5175}(596,\cdot)\) \(\chi_{5175}(641,\cdot)\) \(\chi_{5175}(686,\cdot)\) \(\chi_{5175}(866,\cdot)\) \(\chi_{5175}(911,\cdot)\) \(\chi_{5175}(941,\cdot)\) \(\chi_{5175}(986,\cdot)\) \(\chi_{5175}(1031,\cdot)\) \(\chi_{5175}(1046,\cdot)\) \(\chi_{5175}(1091,\cdot)\) \(\chi_{5175}(1121,\cdot)\) \(\chi_{5175}(1211,\cdot)\) \(\chi_{5175}(1256,\cdot)\) \(\chi_{5175}(1316,\cdot)\) \(\chi_{5175}(1391,\cdot)\) \(\chi_{5175}(1436,\cdot)\) \(\chi_{5175}(1571,\cdot)\) \(\chi_{5175}(1631,\cdot)\) \(\chi_{5175}(1661,\cdot)\) \(\chi_{5175}(1721,\cdot)\) \(\chi_{5175}(1811,\cdot)\) \(\chi_{5175}(1946,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{165})$
Fixed field:	Number field defined by a degree 330 polynomial (not computed)

Values on generators

\((4601,3727,2926)\) → \((e\left(\frac{5}{6}\right),e\left(\frac{4}{5}\right),e\left(\frac{1}{22}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(7\)	\(8\)	\(11\)	\(13\)	\(14\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 5175 }(1661, a) \)	\(1\)	\(1\)	\(e\left(\frac{239}{330}\right)\)	\(e\left(\frac{74}{165}\right)\)	\(e\left(\frac{13}{66}\right)\)	\(e\left(\frac{19}{110}\right)\)	\(e\left(\frac{7}{165}\right)\)	\(e\left(\frac{83}{165}\right)\)	\(e\left(\frac{152}{165}\right)\)	\(e\left(\frac{148}{165}\right)\)	\(e\left(\frac{12}{55}\right)\)	\(e\left(\frac{9}{110}\right)\)