Dirichlet character \(\chi_{1521}(1021,\cdot)\)

• Label: 1521.1021
• Modulus: $1521$
• Conductor: $1521$
• Order: $156$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(1521\)
Conductor:	\(1521\)
Order:	\(156\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 1521.ch

\(\chi_{1521}(58,\cdot)\) \(\chi_{1521}(85,\cdot)\) \(\chi_{1521}(106,\cdot)\) \(\chi_{1521}(115,\cdot)\) \(\chi_{1521}(175,\cdot)\) \(\chi_{1521}(202,\cdot)\) \(\chi_{1521}(223,\cdot)\) \(\chi_{1521}(232,\cdot)\) \(\chi_{1521}(292,\cdot)\) \(\chi_{1521}(340,\cdot)\) \(\chi_{1521}(349,\cdot)\) \(\chi_{1521}(409,\cdot)\) \(\chi_{1521}(436,\cdot)\) \(\chi_{1521}(457,\cdot)\) \(\chi_{1521}(466,\cdot)\) \(\chi_{1521}(553,\cdot)\) \(\chi_{1521}(574,\cdot)\) \(\chi_{1521}(583,\cdot)\) \(\chi_{1521}(643,\cdot)\) \(\chi_{1521}(670,\cdot)\) \(\chi_{1521}(691,\cdot)\) \(\chi_{1521}(700,\cdot)\) \(\chi_{1521}(760,\cdot)\) \(\chi_{1521}(787,\cdot)\) \(\chi_{1521}(808,\cdot)\) \(\chi_{1521}(817,\cdot)\) \(\chi_{1521}(877,\cdot)\) \(\chi_{1521}(904,\cdot)\) \(\chi_{1521}(994,\cdot)\) \(\chi_{1521}(1021,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{156})$
Fixed field:	Number field defined by a degree 156 polynomial (not computed)

Values on generators

\((677,847)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{107}{156}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(14\)	\(16\)	\(17\)
\( \chi_{ 1521 }(1021, a) \)	\(-1\)	\(1\)	\(e\left(\frac{1}{52}\right)\)	\(e\left(\frac{1}{26}\right)\)	\(e\left(\frac{131}{156}\right)\)	\(e\left(\frac{113}{156}\right)\)	\(e\left(\frac{3}{52}\right)\)	\(e\left(\frac{67}{78}\right)\)	\(e\left(\frac{51}{52}\right)\)	\(e\left(\frac{29}{39}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{11}{78}\right)\)