Dirichlet character \(\chi_{11025}(7573,\cdot)\)

• Label: 11025.7573
• Modulus: $11025$
• Conductor: $11025$
• Order: $420$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(11025\)
Conductor:	\(11025\)
Order:	\(420\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 11025.iw

\(\chi_{11025}(13,\cdot)\) \(\chi_{11025}(202,\cdot)\) \(\chi_{11025}(223,\cdot)\) \(\chi_{11025}(328,\cdot)\) \(\chi_{11025}(412,\cdot)\) \(\chi_{11025}(517,\cdot)\) \(\chi_{11025}(727,\cdot)\) \(\chi_{11025}(853,\cdot)\) \(\chi_{11025}(958,\cdot)\) \(\chi_{11025}(1042,\cdot)\) \(\chi_{11025}(1147,\cdot)\) \(\chi_{11025}(1462,\cdot)\) \(\chi_{11025}(1483,\cdot)\) \(\chi_{11025}(1588,\cdot)\) \(\chi_{11025}(1672,\cdot)\) \(\chi_{11025}(1777,\cdot)\) \(\chi_{11025}(1798,\cdot)\) \(\chi_{11025}(1903,\cdot)\) \(\chi_{11025}(1987,\cdot)\) \(\chi_{11025}(2092,\cdot)\) \(\chi_{11025}(2113,\cdot)\) \(\chi_{11025}(2428,\cdot)\) \(\chi_{11025}(2533,\cdot)\) \(\chi_{11025}(2617,\cdot)\) \(\chi_{11025}(2722,\cdot)\) \(\chi_{11025}(2848,\cdot)\) \(\chi_{11025}(3058,\cdot)\) \(\chi_{11025}(3163,\cdot)\) \(\chi_{11025}(3247,\cdot)\) \(\chi_{11025}(3352,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{11}{20}\right),e\left(\frac{1}{14}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(7573, a) \)	\(1\)	\(1\)	\(e\left(\frac{311}{420}\right)\)	\(e\left(\frac{101}{210}\right)\)	\(e\left(\frac{31}{140}\right)\)	\(e\left(\frac{104}{105}\right)\)	\(e\left(\frac{199}{420}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{131}{140}\right)\)	\(e\left(\frac{2}{5}\right)\)	\(e\left(\frac{307}{420}\right)\)	\(e\left(\frac{181}{420}\right)\)