Dirichlet character \(\chi_{31433}(1245,\cdot)\)

• Label: 31433.1245
• Modulus: $31433$
• Conductor: $31433$
• Order: $1204$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(31433\)
Conductor:	\(31433\)
Order:	\(1204\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 31433.cl

\(\chi_{31433}(4,\cdot)\) \(\chi_{31433}(21,\cdot)\) \(\chi_{31433}(47,\cdot)\) \(\chi_{31433}(64,\cdot)\) \(\chi_{31433}(140,\cdot)\) \(\chi_{31433}(183,\cdot)\) \(\chi_{31433}(293,\cdot)\) \(\chi_{31433}(336,\cdot)\) \(\chi_{31433}(446,\cdot)\) \(\chi_{31433}(489,\cdot)\) \(\chi_{31433}(514,\cdot)\) \(\chi_{31433}(557,\cdot)\) \(\chi_{31433}(735,\cdot)\) \(\chi_{31433}(752,\cdot)\) \(\chi_{31433}(778,\cdot)\) \(\chi_{31433}(795,\cdot)\) \(\chi_{31433}(871,\cdot)\) \(\chi_{31433}(914,\cdot)\) \(\chi_{31433}(1024,\cdot)\) \(\chi_{31433}(1067,\cdot)\) \(\chi_{31433}(1177,\cdot)\) \(\chi_{31433}(1220,\cdot)\) \(\chi_{31433}(1245,\cdot)\) \(\chi_{31433}(1288,\cdot)\) \(\chi_{31433}(1466,\cdot)\) \(\chi_{31433}(1483,\cdot)\) \(\chi_{31433}(1509,\cdot)\) \(\chi_{31433}(1526,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{1204})$
Fixed field:	Number field defined by a degree 1204 polynomial (not computed)

Values on generators

\((14793,16644)\) → \((-i,e\left(\frac{281}{301}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 31433 }(1245, a) \)	\(1\)	\(1\)	\(e\left(\frac{145}{602}\right)\)	\(e\left(\frac{823}{1204}\right)\)	\(e\left(\frac{145}{301}\right)\)	\(e\left(\frac{1115}{1204}\right)\)	\(e\left(\frac{159}{172}\right)\)	\(e\left(\frac{167}{172}\right)\)	\(e\left(\frac{435}{602}\right)\)	\(e\left(\frac{221}{602}\right)\)	\(e\left(\frac{201}{1204}\right)\)	\(e\left(\frac{449}{1204}\right)\)