Dirichlet character \(\chi_{925}(514,\cdot)\)

• Label: 925.514
• Modulus: $925$
• Conductor: $925$
• Order: $90$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(925\)
Conductor:	\(925\)
Order:	\(90\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 925.bz

\(\chi_{925}(9,\cdot)\) \(\chi_{925}(34,\cdot)\) \(\chi_{925}(44,\cdot)\) \(\chi_{925}(144,\cdot)\) \(\chi_{925}(164,\cdot)\) \(\chi_{925}(194,\cdot)\) \(\chi_{925}(219,\cdot)\) \(\chi_{925}(229,\cdot)\) \(\chi_{925}(234,\cdot)\) \(\chi_{925}(329,\cdot)\) \(\chi_{925}(379,\cdot)\) \(\chi_{925}(404,\cdot)\) \(\chi_{925}(414,\cdot)\) \(\chi_{925}(419,\cdot)\) \(\chi_{925}(514,\cdot)\) \(\chi_{925}(534,\cdot)\) \(\chi_{925}(564,\cdot)\) \(\chi_{925}(589,\cdot)\) \(\chi_{925}(604,\cdot)\) \(\chi_{925}(719,\cdot)\) \(\chi_{925}(784,\cdot)\) \(\chi_{925}(789,\cdot)\) \(\chi_{925}(884,\cdot)\) \(\chi_{925}(904,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{45})$
Fixed field:	Number field defined by a degree 90 polynomial

Values on generators

\((852,76)\) → \((e\left(\frac{3}{10}\right),e\left(\frac{5}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(6\)	\(7\)	\(8\)	\(9\)	\(11\)	\(12\)	\(13\)
\( \chi_{ 925 }(514, a) \)	\(1\)	\(1\)	\(e\left(\frac{77}{90}\right)\)	\(e\left(\frac{49}{90}\right)\)	\(e\left(\frac{32}{45}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{5}{18}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{4}{45}\right)\)	\(e\left(\frac{7}{15}\right)\)	\(e\left(\frac{23}{90}\right)\)	\(e\left(\frac{73}{90}\right)\)

Gauss sum

Jacobi sum

Kloosterman sum