Dirichlet character \(\chi_{44100}(4667,\cdot)\)

• Label: 44100.4667
• Modulus: $44100$
• Conductor: $44100$
• Order: $420$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(44100\)
Conductor:	\(44100\)
Order:	\(420\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 44100.rn

\(\chi_{44100}(383,\cdot)\) \(\chi_{44100}(887,\cdot)\) \(\chi_{44100}(983,\cdot)\) \(\chi_{44100}(1487,\cdot)\) \(\chi_{44100}(2147,\cdot)\) \(\chi_{44100}(2747,\cdot)\) \(\chi_{44100}(2903,\cdot)\) \(\chi_{44100}(3503,\cdot)\) \(\chi_{44100}(4163,\cdot)\) \(\chi_{44100}(4667,\cdot)\) \(\chi_{44100}(4763,\cdot)\) \(\chi_{44100}(5267,\cdot)\) \(\chi_{44100}(5423,\cdot)\) \(\chi_{44100}(5927,\cdot)\) \(\chi_{44100}(6023,\cdot)\) \(\chi_{44100}(6527,\cdot)\) \(\chi_{44100}(7187,\cdot)\) \(\chi_{44100}(7787,\cdot)\) \(\chi_{44100}(9203,\cdot)\) \(\chi_{44100}(9803,\cdot)\) \(\chi_{44100}(10463,\cdot)\) \(\chi_{44100}(10967,\cdot)\) \(\chi_{44100}(11063,\cdot)\) \(\chi_{44100}(11567,\cdot)\) \(\chi_{44100}(11723,\cdot)\) \(\chi_{44100}(12227,\cdot)\) \(\chi_{44100}(12323,\cdot)\) \(\chi_{44100}(12827,\cdot)\) \(\chi_{44100}(12983,\cdot)\) \(\chi_{44100}(13487,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

Values on generators

\((22051,34301,15877,9901)\) → \((-1,e\left(\frac{5}{6}\right),e\left(\frac{13}{20}\right),e\left(\frac{11}{42}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(29\)	\(31\)	\(37\)	\(41\)	\(43\)
\( \chi_{ 44100 }(4667, a) \)	\(1\)	\(1\)	\(e\left(\frac{22}{105}\right)\)	\(e\left(\frac{277}{420}\right)\)	\(e\left(\frac{209}{420}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{323}{420}\right)\)	\(e\left(\frac{89}{105}\right)\)	\(e\left(\frac{1}{5}\right)\)	\(e\left(\frac{97}{420}\right)\)	\(e\left(\frac{73}{105}\right)\)	\(e\left(\frac{13}{84}\right)\)