Dirichlet character \(\chi_{1521}(1123,\cdot)\)

• Label: 1521.1123
• 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.cf

\(\chi_{1521}(31,\cdot)\) \(\chi_{1521}(34,\cdot)\) \(\chi_{1521}(112,\cdot)\) \(\chi_{1521}(148,\cdot)\) \(\chi_{1521}(151,\cdot)\) \(\chi_{1521}(187,\cdot)\) \(\chi_{1521}(229,\cdot)\) \(\chi_{1521}(265,\cdot)\) \(\chi_{1521}(304,\cdot)\) \(\chi_{1521}(346,\cdot)\) \(\chi_{1521}(382,\cdot)\) \(\chi_{1521}(385,\cdot)\) \(\chi_{1521}(421,\cdot)\) \(\chi_{1521}(463,\cdot)\) \(\chi_{1521}(499,\cdot)\) \(\chi_{1521}(502,\cdot)\) \(\chi_{1521}(538,\cdot)\) \(\chi_{1521}(580,\cdot)\) \(\chi_{1521}(616,\cdot)\) \(\chi_{1521}(619,\cdot)\) \(\chi_{1521}(655,\cdot)\) \(\chi_{1521}(697,\cdot)\) \(\chi_{1521}(733,\cdot)\) \(\chi_{1521}(736,\cdot)\) \(\chi_{1521}(772,\cdot)\) \(\chi_{1521}(814,\cdot)\) \(\chi_{1521}(850,\cdot)\) \(\chi_{1521}(853,\cdot)\) \(\chi_{1521}(889,\cdot)\) \(\chi_{1521}(931,\cdot)\) ...

Related number fields

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

Values on generators

\((677,847)\) → \((e\left(\frac{2}{3}\right),e\left(\frac{19}{52}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(11\)	\(14\)	\(16\)	\(17\)
\( \chi_{ 1521 }(1123, a) \)	\(-1\)	\(1\)	\(e\left(\frac{5}{156}\right)\)	\(e\left(\frac{5}{78}\right)\)	\(e\left(\frac{97}{156}\right)\)	\(e\left(\frac{119}{156}\right)\)	\(e\left(\frac{5}{52}\right)\)	\(e\left(\frac{17}{26}\right)\)	\(e\left(\frac{47}{156}\right)\)	\(e\left(\frac{31}{39}\right)\)	\(e\left(\frac{5}{39}\right)\)	\(e\left(\frac{9}{26}\right)\)