Dirichlet character \(\chi_{11025}(3964,\cdot)\)

• Label: 11025.3964
• 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.hp

\(\chi_{11025}(184,\cdot)\) \(\chi_{11025}(529,\cdot)\) \(\chi_{11025}(844,\cdot)\) \(\chi_{11025}(1129,\cdot)\) \(\chi_{11025}(1159,\cdot)\) \(\chi_{11025}(1444,\cdot)\) \(\chi_{11025}(1759,\cdot)\) \(\chi_{11025}(1789,\cdot)\) \(\chi_{11025}(2104,\cdot)\) \(\chi_{11025}(2389,\cdot)\) \(\chi_{11025}(2704,\cdot)\) \(\chi_{11025}(2734,\cdot)\) \(\chi_{11025}(3334,\cdot)\) \(\chi_{11025}(3364,\cdot)\) \(\chi_{11025}(3679,\cdot)\) \(\chi_{11025}(3964,\cdot)\) \(\chi_{11025}(3994,\cdot)\) \(\chi_{11025}(4279,\cdot)\) \(\chi_{11025}(4309,\cdot)\) \(\chi_{11025}(4594,\cdot)\) \(\chi_{11025}(4909,\cdot)\) \(\chi_{11025}(4939,\cdot)\) \(\chi_{11025}(5254,\cdot)\) \(\chi_{11025}(5539,\cdot)\) \(\chi_{11025}(5569,\cdot)\) \(\chi_{11025}(5854,\cdot)\) \(\chi_{11025}(5884,\cdot)\) \(\chi_{11025}(6169,\cdot)\) \(\chi_{11025}(6484,\cdot)\) \(\chi_{11025}(6514,\cdot)\) ...

Related number fields

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

Values on generators

\((1226,4852,9901)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{3}{10}\right),e\left(\frac{4}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 11025 }(3964, a) \)	\(1\)	\(1\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{79}{105}\right)\)	\(e\left(\frac{137}{210}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{139}{210}\right)\)	\(e\left(\frac{1}{15}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{43}{210}\right)\)