Dirichlet character \(\chi_{44100}(8339,\cdot)\)

• Label: 44100.8339
• 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.ps

\(\chi_{44100}(779,\cdot)\) \(\chi_{44100}(1019,\cdot)\) \(\chi_{44100}(2279,\cdot)\) \(\chi_{44100}(3539,\cdot)\) \(\chi_{44100}(4559,\cdot)\) \(\chi_{44100}(5819,\cdot)\) \(\chi_{44100}(6059,\cdot)\) \(\chi_{44100}(7079,\cdot)\) \(\chi_{44100}(8339,\cdot)\) \(\chi_{44100}(8579,\cdot)\) \(\chi_{44100}(9839,\cdot)\) \(\chi_{44100}(12119,\cdot)\) \(\chi_{44100}(12359,\cdot)\) \(\chi_{44100}(13379,\cdot)\) \(\chi_{44100}(13619,\cdot)\) \(\chi_{44100}(14639,\cdot)\) \(\chi_{44100}(14879,\cdot)\) \(\chi_{44100}(17159,\cdot)\) \(\chi_{44100}(18419,\cdot)\) \(\chi_{44100}(18659,\cdot)\) \(\chi_{44100}(19919,\cdot)\) \(\chi_{44100}(20939,\cdot)\) \(\chi_{44100}(21179,\cdot)\) \(\chi_{44100}(22439,\cdot)\) \(\chi_{44100}(23459,\cdot)\) \(\chi_{44100}(24719,\cdot)\) \(\chi_{44100}(25979,\cdot)\) \(\chi_{44100}(26219,\cdot)\) \(\chi_{44100}(27239,\cdot)\) \(\chi_{44100}(27479,\cdot)\) ...

Related number fields

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

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{3}{10}\right),e\left(\frac{1}{21}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(8339, a) \)	\(1\)	\(1\)	\(e\left(\frac{4}{105}\right)\)	\(e\left(\frac{197}{210}\right)\)	\(e\left(\frac{62}{105}\right)\)	\(e\left(\frac{17}{30}\right)\)	\(e\left(\frac{163}{210}\right)\)	\(e\left(\frac{61}{210}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{47}{210}\right)\)	\(e\left(\frac{17}{210}\right)\)	\(e\left(\frac{13}{21}\right)\)