Dirichlet character \(\chi_{11025}(929,\cdot)\)

• Label: 11025.929
• 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.hs

\(\chi_{11025}(59,\cdot)\) \(\chi_{11025}(614,\cdot)\) \(\chi_{11025}(689,\cdot)\) \(\chi_{11025}(929,\cdot)\) \(\chi_{11025}(1004,\cdot)\) \(\chi_{11025}(1319,\cdot)\) \(\chi_{11025}(1559,\cdot)\) \(\chi_{11025}(1634,\cdot)\) \(\chi_{11025}(2189,\cdot)\) \(\chi_{11025}(2264,\cdot)\) \(\chi_{11025}(2504,\cdot)\) \(\chi_{11025}(2819,\cdot)\) \(\chi_{11025}(2894,\cdot)\) \(\chi_{11025}(3134,\cdot)\) \(\chi_{11025}(3209,\cdot)\) \(\chi_{11025}(3764,\cdot)\) \(\chi_{11025}(3839,\cdot)\) \(\chi_{11025}(4079,\cdot)\) \(\chi_{11025}(4154,\cdot)\) \(\chi_{11025}(4394,\cdot)\) \(\chi_{11025}(4469,\cdot)\) \(\chi_{11025}(4709,\cdot)\) \(\chi_{11025}(5339,\cdot)\) \(\chi_{11025}(5414,\cdot)\) \(\chi_{11025}(5729,\cdot)\) \(\chi_{11025}(5969,\cdot)\) \(\chi_{11025}(6044,\cdot)\) \(\chi_{11025}(6284,\cdot)\) \(\chi_{11025}(6359,\cdot)\) \(\chi_{11025}(6914,\cdot)\) ...

Related number fields

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

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{6}\right),e\left(\frac{1}{10}\right),e\left(\frac{5}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(929, a) \)	\(1\)	\(1\)	\(e\left(\frac{38}{105}\right)\)	\(e\left(\frac{76}{105}\right)\)	\(e\left(\frac{3}{35}\right)\)	\(e\left(\frac{37}{70}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{47}{105}\right)\)	\(e\left(\frac{163}{210}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{187}{210}\right)\)	\(e\left(\frac{16}{35}\right)\)