Dirichlet character \(\chi_{7448}(3557,\cdot)\)

• Label: 7448.3557
• 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.in

\(\chi_{7448}(85,\cdot)\) \(\chi_{7448}(253,\cdot)\) \(\chi_{7448}(309,\cdot)\) \(\chi_{7448}(365,\cdot)\) \(\chi_{7448}(701,\cdot)\) \(\chi_{7448}(757,\cdot)\) \(\chi_{7448}(1149,\cdot)\) \(\chi_{7448}(1317,\cdot)\) \(\chi_{7448}(1429,\cdot)\) \(\chi_{7448}(1821,\cdot)\) \(\chi_{7448}(2213,\cdot)\) \(\chi_{7448}(2381,\cdot)\) \(\chi_{7448}(2437,\cdot)\) \(\chi_{7448}(2493,\cdot)\) \(\chi_{7448}(2829,\cdot)\) \(\chi_{7448}(2885,\cdot)\) \(\chi_{7448}(3277,\cdot)\) \(\chi_{7448}(3445,\cdot)\) \(\chi_{7448}(3501,\cdot)\) \(\chi_{7448}(3557,\cdot)\) \(\chi_{7448}(3893,\cdot)\) \(\chi_{7448}(3949,\cdot)\) \(\chi_{7448}(4341,\cdot)\) \(\chi_{7448}(4565,\cdot)\) \(\chi_{7448}(4621,\cdot)\) \(\chi_{7448}(4957,\cdot)\) \(\chi_{7448}(5013,\cdot)\) \(\chi_{7448}(5405,\cdot)\) \(\chi_{7448}(5573,\cdot)\) \(\chi_{7448}(5629,\cdot)\) ...

Related number fields

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

Values on generators

\((1863,3725,3041,3137)\) → \((1,-1,e\left(\frac{3}{7}\right),e\left(\frac{1}{9}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 7448 }(3557, a) \)	\(1\)	\(1\)	\(e\left(\frac{47}{126}\right)\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{41}{42}\right)\)	\(e\left(\frac{25}{126}\right)\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{52}{63}\right)\)	\(e\left(\frac{32}{63}\right)\)	\(e\left(\frac{26}{63}\right)\)	\(e\left(\frac{5}{42}\right)\)