Dirichlet character \(\chi_{56644}(15,\cdot)\)

• Label: 56644.15
• Modulus: $56644$
• Conductor: $56644$
• Order: $952$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(56644\)
Conductor:	\(56644\)
Order:	\(952\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 56644.fl

\(\chi_{56644}(15,\cdot)\) \(\chi_{56644}(43,\cdot)\) \(\chi_{56644}(127,\cdot)\) \(\chi_{56644}(519,\cdot)\) \(\chi_{56644}(603,\cdot)\) \(\chi_{56644}(631,\cdot)\) \(\chi_{56644}(967,\cdot)\) \(\chi_{56644}(995,\cdot)\) \(\chi_{56644}(1107,\cdot)\) \(\chi_{56644}(1443,\cdot)\) \(\chi_{56644}(1583,\cdot)\) \(\chi_{56644}(1919,\cdot)\) \(\chi_{56644}(1947,\cdot)\) \(\chi_{56644}(2031,\cdot)\) \(\chi_{56644}(2395,\cdot)\) \(\chi_{56644}(2423,\cdot)\) \(\chi_{56644}(2507,\cdot)\) \(\chi_{56644}(2535,\cdot)\) \(\chi_{56644}(2871,\cdot)\) \(\chi_{56644}(2899,\cdot)\) \(\chi_{56644}(2983,\cdot)\) \(\chi_{56644}(3011,\cdot)\) \(\chi_{56644}(3347,\cdot)\) \(\chi_{56644}(3375,\cdot)\) \(\chi_{56644}(3459,\cdot)\) \(\chi_{56644}(3487,\cdot)\) \(\chi_{56644}(3851,\cdot)\) \(\chi_{56644}(3935,\cdot)\) \(\chi_{56644}(3963,\cdot)\) \(\chi_{56644}(4299,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{952})$
Fixed field:	Number field defined by a degree 952 polynomial (not computed)

Values on generators

\((28323,50865,34105)\) → \((-1,e\left(\frac{5}{7}\right),e\left(\frac{115}{136}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(19\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 56644 }(15, a) \)	\(-1\)	\(1\)	\(e\left(\frac{57}{952}\right)\)	\(e\left(\frac{337}{952}\right)\)	\(e\left(\frac{57}{476}\right)\)	\(e\left(\frac{495}{952}\right)\)	\(e\left(\frac{73}{238}\right)\)	\(e\left(\frac{197}{476}\right)\)	\(e\left(\frac{23}{68}\right)\)	\(e\left(\frac{199}{952}\right)\)	\(e\left(\frac{337}{476}\right)\)	\(e\left(\frac{171}{952}\right)\)