Dirichlet character \(\chi_{1573}(437,\cdot)\)

• Label: 1573.437
• Modulus: $1573$
• Conductor: $1573$
• Order: $220$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1573\)
Conductor:	\(1573\)
Order:	\(220\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1573.bp

\(\chi_{1573}(8,\cdot)\) \(\chi_{1573}(18,\cdot)\) \(\chi_{1573}(57,\cdot)\) \(\chi_{1573}(73,\cdot)\) \(\chi_{1573}(83,\cdot)\) \(\chi_{1573}(96,\cdot)\) \(\chi_{1573}(138,\cdot)\) \(\chi_{1573}(151,\cdot)\) \(\chi_{1573}(200,\cdot)\) \(\chi_{1573}(216,\cdot)\) \(\chi_{1573}(226,\cdot)\) \(\chi_{1573}(255,\cdot)\) \(\chi_{1573}(281,\cdot)\) \(\chi_{1573}(294,\cdot)\) \(\chi_{1573}(304,\cdot)\) \(\chi_{1573}(343,\cdot)\) \(\chi_{1573}(359,\cdot)\) \(\chi_{1573}(369,\cdot)\) \(\chi_{1573}(382,\cdot)\) \(\chi_{1573}(398,\cdot)\) \(\chi_{1573}(424,\cdot)\) \(\chi_{1573}(437,\cdot)\) \(\chi_{1573}(447,\cdot)\) \(\chi_{1573}(486,\cdot)\) \(\chi_{1573}(502,\cdot)\) \(\chi_{1573}(512,\cdot)\) \(\chi_{1573}(525,\cdot)\) \(\chi_{1573}(541,\cdot)\) \(\chi_{1573}(567,\cdot)\) \(\chi_{1573}(580,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{220})$
Fixed field:	Number field defined by a degree 220 polynomial (not computed)

Values on generators

\((365,1211)\) → \((e\left(\frac{43}{110}\right),i)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(12\)
\( \chi_{ 1573 }(437, a) \)	\(1\)	\(1\)	\(e\left(\frac{141}{220}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{31}{110}\right)\)	\(e\left(\frac{39}{220}\right)\)	\(e\left(\frac{9}{220}\right)\)	\(e\left(\frac{107}{220}\right)\)	\(e\left(\frac{203}{220}\right)\)	\(e\left(\frac{4}{5}\right)\)	\(e\left(\frac{9}{11}\right)\)	\(e\left(\frac{15}{22}\right)\)