Dirichlet character \(\chi_{11025}(4729,\cdot)\)

• Label: 11025.4729
• Modulus: $11025$
• Conductor: $11025$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(11025\)
Conductor:	\(11025\)
Order:	\(210\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 11025.im

\(\chi_{11025}(4,\cdot)\) \(\chi_{11025}(319,\cdot)\) \(\chi_{11025}(394,\cdot)\) \(\chi_{11025}(634,\cdot)\) \(\chi_{11025}(709,\cdot)\) \(\chi_{11025}(1264,\cdot)\) \(\chi_{11025}(1339,\cdot)\) \(\chi_{11025}(1579,\cdot)\) \(\chi_{11025}(1654,\cdot)\) \(\chi_{11025}(1894,\cdot)\) \(\chi_{11025}(1969,\cdot)\) \(\chi_{11025}(2209,\cdot)\) \(\chi_{11025}(2839,\cdot)\) \(\chi_{11025}(2914,\cdot)\) \(\chi_{11025}(3229,\cdot)\) \(\chi_{11025}(3469,\cdot)\) \(\chi_{11025}(3544,\cdot)\) \(\chi_{11025}(3784,\cdot)\) \(\chi_{11025}(3859,\cdot)\) \(\chi_{11025}(4414,\cdot)\) \(\chi_{11025}(4729,\cdot)\) \(\chi_{11025}(4804,\cdot)\) \(\chi_{11025}(5044,\cdot)\) \(\chi_{11025}(5119,\cdot)\) \(\chi_{11025}(5434,\cdot)\) \(\chi_{11025}(5989,\cdot)\) \(\chi_{11025}(6064,\cdot)\) \(\chi_{11025}(6304,\cdot)\) \(\chi_{11025}(6379,\cdot)\) \(\chi_{11025}(6619,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{105})$
Fixed field:	Number field defined by a degree 210 polynomial (not computed)

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{1}{10}\right),e\left(\frac{8}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(4729, a) \)	\(1\)	\(1\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{71}{105}\right)\)	\(e\left(\frac{1}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{29}{210}\right)\)	\(e\left(\frac{37}{105}\right)\)	\(e\left(\frac{173}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{107}{210}\right)\)	\(e\left(\frac{17}{70}\right)\)