Dirichlet character \(\chi_{4031}(1291,\cdot)\)

• Label: 4031.1291
• Modulus: $4031$
• Conductor: $4031$
• Order: $1932$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4031\)
Conductor:	\(4031\)
Order:	\(1932\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4031.bu

\(\chi_{4031}(2,\cdot)\) \(\chi_{4031}(3,\cdot)\) \(\chi_{4031}(15,\cdot)\) \(\chi_{4031}(18,\cdot)\) \(\chi_{4031}(19,\cdot)\) \(\chi_{4031}(21,\cdot)\) \(\chi_{4031}(26,\cdot)\) \(\chi_{4031}(32,\cdot)\) \(\chi_{4031}(40,\cdot)\) \(\chi_{4031}(50,\cdot)\) \(\chi_{4031}(56,\cdot)\) \(\chi_{4031}(61,\cdot)\) \(\chi_{4031}(68,\cdot)\) \(\chi_{4031}(72,\cdot)\) \(\chi_{4031}(73,\cdot)\) \(\chi_{4031}(85,\cdot)\) \(\chi_{4031}(90,\cdot)\) \(\chi_{4031}(98,\cdot)\) \(\chi_{4031}(101,\cdot)\) \(\chi_{4031}(102,\cdot)\) \(\chi_{4031}(108,\cdot)\) \(\chi_{4031}(114,\cdot)\) \(\chi_{4031}(119,\cdot)\) \(\chi_{4031}(126,\cdot)\) \(\chi_{4031}(130,\cdot)\) \(\chi_{4031}(134,\cdot)\) \(\chi_{4031}(135,\cdot)\) \(\chi_{4031}(142,\cdot)\) \(\chi_{4031}(156,\cdot)\) \(\chi_{4031}(160,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{1932})$
Fixed field:	Number field defined by a degree 1932 polynomial (not computed)

Values on generators

\((3337,697)\) → \((e\left(\frac{27}{28}\right),e\left(\frac{89}{138}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 4031 }(1291, a) \)	\(1\)	\(1\)	\(e\left(\frac{1177}{1932}\right)\)	\(e\left(\frac{509}{1932}\right)\)	\(e\left(\frac{211}{966}\right)\)	\(e\left(\frac{655}{966}\right)\)	\(e\left(\frac{281}{322}\right)\)	\(e\left(\frac{395}{483}\right)\)	\(e\left(\frac{533}{644}\right)\)	\(e\left(\frac{509}{966}\right)\)	\(e\left(\frac{185}{644}\right)\)	\(e\left(\frac{235}{1932}\right)\)