Dirichlet character \(\chi_{1521}(430,\cdot)\)

• Label: 1521.430
• Modulus: $1521$
• Conductor: $1521$
• Order: $39$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1521\)
Conductor:	\(1521\)
Order:	\(39\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1521.bl

\(\chi_{1521}(40,\cdot)\) \(\chi_{1521}(79,\cdot)\) \(\chi_{1521}(157,\cdot)\) \(\chi_{1521}(196,\cdot)\) \(\chi_{1521}(274,\cdot)\) \(\chi_{1521}(313,\cdot)\) \(\chi_{1521}(391,\cdot)\) \(\chi_{1521}(430,\cdot)\) \(\chi_{1521}(547,\cdot)\) \(\chi_{1521}(625,\cdot)\) \(\chi_{1521}(664,\cdot)\) \(\chi_{1521}(742,\cdot)\) \(\chi_{1521}(781,\cdot)\) \(\chi_{1521}(859,\cdot)\) \(\chi_{1521}(898,\cdot)\) \(\chi_{1521}(976,\cdot)\) \(\chi_{1521}(1093,\cdot)\) \(\chi_{1521}(1132,\cdot)\) \(\chi_{1521}(1210,\cdot)\) \(\chi_{1521}(1249,\cdot)\) \(\chi_{1521}(1327,\cdot)\) \(\chi_{1521}(1366,\cdot)\) \(\chi_{1521}(1444,\cdot)\) \(\chi_{1521}(1483,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	Number field defined by a degree 39 polynomial

Values on generators

\((677,847)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{11}{13}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(14\)	\(16\)	\(17\)
\( \chi_{ 1521 }(430, a) \)	\(1\)	\(1\)	\(e\left(\frac{20}{39}\right)\)	\(e\left(\frac{1}{39}\right)\)	\(e\left(\frac{37}{39}\right)\)	\(e\left(\frac{8}{39}\right)\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{6}{13}\right)\)	\(e\left(\frac{32}{39}\right)\)	\(e\left(\frac{28}{39}\right)\)	\(e\left(\frac{2}{39}\right)\)	\(e\left(\frac{7}{13}\right)\)