Dirichlet character \(\chi_{11025}(10244,\cdot)\)

• Label: 11025.10244
• 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.io

\(\chi_{11025}(164,\cdot)\) \(\chi_{11025}(194,\cdot)\) \(\chi_{11025}(479,\cdot)\) \(\chi_{11025}(794,\cdot)\) \(\chi_{11025}(1139,\cdot)\) \(\chi_{11025}(1454,\cdot)\) \(\chi_{11025}(1739,\cdot)\) \(\chi_{11025}(1769,\cdot)\) \(\chi_{11025}(2054,\cdot)\) \(\chi_{11025}(2084,\cdot)\) \(\chi_{11025}(2369,\cdot)\) \(\chi_{11025}(2684,\cdot)\) \(\chi_{11025}(3029,\cdot)\) \(\chi_{11025}(3344,\cdot)\) \(\chi_{11025}(3629,\cdot)\) \(\chi_{11025}(3659,\cdot)\) \(\chi_{11025}(3944,\cdot)\) \(\chi_{11025}(4259,\cdot)\) \(\chi_{11025}(4289,\cdot)\) \(\chi_{11025}(4604,\cdot)\) \(\chi_{11025}(4889,\cdot)\) \(\chi_{11025}(5204,\cdot)\) \(\chi_{11025}(5234,\cdot)\) \(\chi_{11025}(5834,\cdot)\) \(\chi_{11025}(5864,\cdot)\) \(\chi_{11025}(6179,\cdot)\) \(\chi_{11025}(6464,\cdot)\) \(\chi_{11025}(6494,\cdot)\) \(\chi_{11025}(6779,\cdot)\) \(\chi_{11025}(6809,\cdot)\) ...

Related number fields

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

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{9}{10}\right),e\left(\frac{1}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(10244, a) \)	\(1\)	\(1\)	\(e\left(\frac{24}{35}\right)\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{109}{210}\right)\)	\(e\left(\frac{23}{105}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{167}{210}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{43}{210}\right)\)	\(e\left(\frac{67}{105}\right)\)