Dirichlet character \(\chi_{44100}(26591,\cdot)\)

• Label: 44100.26591
• Modulus: $44100$
• Conductor: $44100$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(44100\)
Conductor:	\(44100\)
Order:	\(210\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 44100.pt

\(\chi_{44100}(131,\cdot)\) \(\chi_{44100}(731,\cdot)\) \(\chi_{44100}(3911,\cdot)\) \(\chi_{44100}(4511,\cdot)\) \(\chi_{44100}(5171,\cdot)\) \(\chi_{44100}(5771,\cdot)\) \(\chi_{44100}(6431,\cdot)\) \(\chi_{44100}(7031,\cdot)\) \(\chi_{44100}(7691,\cdot)\) \(\chi_{44100}(8291,\cdot)\) \(\chi_{44100}(11471,\cdot)\) \(\chi_{44100}(12071,\cdot)\) \(\chi_{44100}(12731,\cdot)\) \(\chi_{44100}(13331,\cdot)\) \(\chi_{44100}(13991,\cdot)\) \(\chi_{44100}(14591,\cdot)\) \(\chi_{44100}(16511,\cdot)\) \(\chi_{44100}(17111,\cdot)\) \(\chi_{44100}(17771,\cdot)\) \(\chi_{44100}(18371,\cdot)\) \(\chi_{44100}(20291,\cdot)\) \(\chi_{44100}(20891,\cdot)\) \(\chi_{44100}(22811,\cdot)\) \(\chi_{44100}(23411,\cdot)\) \(\chi_{44100}(24071,\cdot)\) \(\chi_{44100}(24671,\cdot)\) \(\chi_{44100}(25331,\cdot)\) \(\chi_{44100}(25931,\cdot)\) \(\chi_{44100}(26591,\cdot)\) \(\chi_{44100}(27191,\cdot)\) ...

Related number fields

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

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{1}{5}\right),e\left(\frac{41}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(26591, a) \)	\(-1\)	\(1\)	\(e\left(\frac{61}{105}\right)\)	\(e\left(\frac{143}{210}\right)\)	\(e\left(\frac{53}{105}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{169}{210}\right)\)	\(e\left(\frac{3}{5}\right)\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{64}{105}\right)\)	\(e\left(\frac{29}{42}\right)\)