Dirichlet character \(\chi_{11025}(10181,\cdot)\)

• Label: 11025.10181
• 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.hr

\(\chi_{11025}(131,\cdot)\) \(\chi_{11025}(416,\cdot)\) \(\chi_{11025}(446,\cdot)\) \(\chi_{11025}(731,\cdot)\) \(\chi_{11025}(761,\cdot)\) \(\chi_{11025}(1046,\cdot)\) \(\chi_{11025}(1361,\cdot)\) \(\chi_{11025}(1706,\cdot)\) \(\chi_{11025}(2021,\cdot)\) \(\chi_{11025}(2306,\cdot)\) \(\chi_{11025}(2336,\cdot)\) \(\chi_{11025}(2621,\cdot)\) \(\chi_{11025}(2936,\cdot)\) \(\chi_{11025}(2966,\cdot)\) \(\chi_{11025}(3281,\cdot)\) \(\chi_{11025}(3566,\cdot)\) \(\chi_{11025}(3881,\cdot)\) \(\chi_{11025}(3911,\cdot)\) \(\chi_{11025}(4511,\cdot)\) \(\chi_{11025}(4541,\cdot)\) \(\chi_{11025}(4856,\cdot)\) \(\chi_{11025}(5141,\cdot)\) \(\chi_{11025}(5171,\cdot)\) \(\chi_{11025}(5456,\cdot)\) \(\chi_{11025}(5486,\cdot)\) \(\chi_{11025}(5771,\cdot)\) \(\chi_{11025}(6086,\cdot)\) \(\chi_{11025}(6116,\cdot)\) \(\chi_{11025}(6431,\cdot)\) \(\chi_{11025}(6716,\cdot)\) ...

Related number fields

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

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{2}{5}\right),e\left(\frac{19}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(10181, a) \)	\(1\)	\(1\)	\(e\left(\frac{23}{70}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{69}{70}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{181}{210}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{1}{105}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{104}{105}\right)\)	\(e\left(\frac{89}{210}\right)\)