Dirichlet character \(\chi_{1900}(967,\cdot)\)

• Label: 1900.967
• Modulus: $1900$
• Conductor: $1900$
• Order: $180$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1900\)
Conductor:	\(1900\)
Order:	\(180\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1900.cq

\(\chi_{1900}(23,\cdot)\) \(\chi_{1900}(47,\cdot)\) \(\chi_{1900}(63,\cdot)\) \(\chi_{1900}(123,\cdot)\) \(\chi_{1900}(187,\cdot)\) \(\chi_{1900}(263,\cdot)\) \(\chi_{1900}(283,\cdot)\) \(\chi_{1900}(327,\cdot)\) \(\chi_{1900}(347,\cdot)\) \(\chi_{1900}(367,\cdot)\) \(\chi_{1900}(403,\cdot)\) \(\chi_{1900}(423,\cdot)\) \(\chi_{1900}(427,\cdot)\) \(\chi_{1900}(503,\cdot)\) \(\chi_{1900}(567,\cdot)\) \(\chi_{1900}(587,\cdot)\) \(\chi_{1900}(663,\cdot)\) \(\chi_{1900}(727,\cdot)\) \(\chi_{1900}(747,\cdot)\) \(\chi_{1900}(783,\cdot)\) \(\chi_{1900}(803,\cdot)\) \(\chi_{1900}(823,\cdot)\) \(\chi_{1900}(883,\cdot)\) \(\chi_{1900}(947,\cdot)\) \(\chi_{1900}(967,\cdot)\) \(\chi_{1900}(1023,\cdot)\) \(\chi_{1900}(1087,\cdot)\) \(\chi_{1900}(1127,\cdot)\) \(\chi_{1900}(1163,\cdot)\) \(\chi_{1900}(1183,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{180})$
Fixed field:	Number field defined by a degree 180 polynomial (not computed)

Values on generators

\((951,77,401)\) → \((-1,e\left(\frac{13}{20}\right),e\left(\frac{5}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(7\)	\(9\)	\(11\)	\(13\)	\(17\)	\(21\)	\(23\)	\(27\)	\(29\)
\( \chi_{ 1900 }(967, a) \)	\(1\)	\(1\)	\(e\left(\frac{49}{180}\right)\)	\(e\left(\frac{1}{12}\right)\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{23}{180}\right)\)	\(e\left(\frac{1}{180}\right)\)	\(e\left(\frac{16}{45}\right)\)	\(e\left(\frac{137}{180}\right)\)	\(e\left(\frac{49}{60}\right)\)	\(e\left(\frac{67}{90}\right)\)