Dirichlet character \(\chi_{44100}(11119,\cdot)\)

• Label: 44100.11119
• 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.oz

\(\chi_{44100}(439,\cdot)\) \(\chi_{44100}(1039,\cdot)\) \(\chi_{44100}(4219,\cdot)\) \(\chi_{44100}(4819,\cdot)\) \(\chi_{44100}(5479,\cdot)\) \(\chi_{44100}(6079,\cdot)\) \(\chi_{44100}(6739,\cdot)\) \(\chi_{44100}(7339,\cdot)\) \(\chi_{44100}(9259,\cdot)\) \(\chi_{44100}(9859,\cdot)\) \(\chi_{44100}(10519,\cdot)\) \(\chi_{44100}(11119,\cdot)\) \(\chi_{44100}(13039,\cdot)\) \(\chi_{44100}(13639,\cdot)\) \(\chi_{44100}(15559,\cdot)\) \(\chi_{44100}(16159,\cdot)\) \(\chi_{44100}(16819,\cdot)\) \(\chi_{44100}(17419,\cdot)\) \(\chi_{44100}(18079,\cdot)\) \(\chi_{44100}(18679,\cdot)\) \(\chi_{44100}(19339,\cdot)\) \(\chi_{44100}(19939,\cdot)\) \(\chi_{44100}(21859,\cdot)\) \(\chi_{44100}(22459,\cdot)\) \(\chi_{44100}(23119,\cdot)\) \(\chi_{44100}(23719,\cdot)\) \(\chi_{44100}(24379,\cdot)\) \(\chi_{44100}(24979,\cdot)\) \(\chi_{44100}(25639,\cdot)\) \(\chi_{44100}(26239,\cdot)\) ...

Related number fields

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

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{1}{3}\right),e\left(\frac{9}{10}\right),e\left(\frac{31}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(11119, a) \)	\(1\)	\(1\)	\(e\left(\frac{53}{70}\right)\)	\(e\left(\frac{13}{105}\right)\)	\(e\left(\frac{16}{105}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{44}{105}\right)\)	\(e\left(\frac{8}{15}\right)\)	\(e\left(\frac{151}{210}\right)\)	\(e\left(\frac{71}{210}\right)\)	\(e\left(\frac{16}{21}\right)\)