Dirichlet character \(\chi_{44100}(11371,\cdot)\)

• Label: 44100.11371
• Modulus: $44100$
• Conductor: $44100$
• Order: $210$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

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

Galois orbit 44100.pf

\(\chi_{44100}(691,\cdot)\) \(\chi_{44100}(1291,\cdot)\) \(\chi_{44100}(3211,\cdot)\) \(\chi_{44100}(3811,\cdot)\) \(\chi_{44100}(4471,\cdot)\) \(\chi_{44100}(5071,\cdot)\) \(\chi_{44100}(5731,\cdot)\) \(\chi_{44100}(6331,\cdot)\) \(\chi_{44100}(6991,\cdot)\) \(\chi_{44100}(7591,\cdot)\) \(\chi_{44100}(9511,\cdot)\) \(\chi_{44100}(10111,\cdot)\) \(\chi_{44100}(10771,\cdot)\) \(\chi_{44100}(11371,\cdot)\) \(\chi_{44100}(12031,\cdot)\) \(\chi_{44100}(12631,\cdot)\) \(\chi_{44100}(13291,\cdot)\) \(\chi_{44100}(13891,\cdot)\) \(\chi_{44100}(15811,\cdot)\) \(\chi_{44100}(16411,\cdot)\) \(\chi_{44100}(18331,\cdot)\) \(\chi_{44100}(18931,\cdot)\) \(\chi_{44100}(19591,\cdot)\) \(\chi_{44100}(20191,\cdot)\) \(\chi_{44100}(22111,\cdot)\) \(\chi_{44100}(22711,\cdot)\) \(\chi_{44100}(23371,\cdot)\) \(\chi_{44100}(23971,\cdot)\) \(\chi_{44100}(24631,\cdot)\) \(\chi_{44100}(25231,\cdot)\) ...

Related number fields

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

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{1}{3}\right),e\left(\frac{3}{5}\right),e\left(\frac{1}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(11371, a) \)	\(1\)	\(1\)	\(e\left(\frac{27}{70}\right)\)	\(e\left(\frac{179}{210}\right)\)	\(e\left(\frac{83}{210}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{101}{105}\right)\)	\(e\left(\frac{2}{15}\right)\)	\(e\left(\frac{17}{105}\right)\)	\(e\left(\frac{89}{210}\right)\)	\(e\left(\frac{41}{42}\right)\)