Dirichlet character \(\chi_{7448}(5923,\cdot)\)

• Label: 7448.5923
• Modulus: $7448$
• Conductor: $7448$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(7448\)
Conductor:	\(7448\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 7448.jc

\(\chi_{7448}(155,\cdot)\) \(\chi_{7448}(211,\cdot)\) \(\chi_{7448}(547,\cdot)\) \(\chi_{7448}(603,\cdot)\) \(\chi_{7448}(659,\cdot)\) \(\chi_{7448}(827,\cdot)\) \(\chi_{7448}(1219,\cdot)\) \(\chi_{7448}(1611,\cdot)\) \(\chi_{7448}(1723,\cdot)\) \(\chi_{7448}(1891,\cdot)\) \(\chi_{7448}(2283,\cdot)\) \(\chi_{7448}(2339,\cdot)\) \(\chi_{7448}(2675,\cdot)\) \(\chi_{7448}(2731,\cdot)\) \(\chi_{7448}(2787,\cdot)\) \(\chi_{7448}(2955,\cdot)\) \(\chi_{7448}(3347,\cdot)\) \(\chi_{7448}(3403,\cdot)\) \(\chi_{7448}(3739,\cdot)\) \(\chi_{7448}(3795,\cdot)\) \(\chi_{7448}(3851,\cdot)\) \(\chi_{7448}(4467,\cdot)\) \(\chi_{7448}(4859,\cdot)\) \(\chi_{7448}(4915,\cdot)\) \(\chi_{7448}(5083,\cdot)\) \(\chi_{7448}(5475,\cdot)\) \(\chi_{7448}(5531,\cdot)\) \(\chi_{7448}(5867,\cdot)\) \(\chi_{7448}(5923,\cdot)\) \(\chi_{7448}(6147,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((1863,3725,3041,3137)\) → \((-1,-1,e\left(\frac{1}{7}\right),e\left(\frac{7}{18}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 7448 }(5923, a) \)	\(1\)	\(1\)	\(e\left(\frac{25}{126}\right)\)	\(e\left(\frac{109}{126}\right)\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{8}{21}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{29}{63}\right)\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{46}{63}\right)\)	\(e\left(\frac{25}{42}\right)\)