Dirichlet character \(\chi_{7448}(33,\cdot)\)

• Label: 7448.33
• Modulus: $7448$
• Conductor: $931$
• Order: $126$
• Real: no
• Primitive: no
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(7448\)
Conductor:	\(931\)
Order:	\(126\)
Real:	no
Primitive:	no, induced from \(\chi_{931}(33,\cdot)\)
Minimal:	yes
Parity:	even

Galois orbit 7448.ih

\(\chi_{7448}(33,\cdot)\) \(\chi_{7448}(241,\cdot)\) \(\chi_{7448}(409,\cdot)\) \(\chi_{7448}(649,\cdot)\) \(\chi_{7448}(1193,\cdot)\) \(\chi_{7448}(1473,\cdot)\) \(\chi_{7448}(1713,\cdot)\) \(\chi_{7448}(1769,\cdot)\) \(\chi_{7448}(2161,\cdot)\) \(\chi_{7448}(2257,\cdot)\) \(\chi_{7448}(2369,\cdot)\) \(\chi_{7448}(2537,\cdot)\) \(\chi_{7448}(2777,\cdot)\) \(\chi_{7448}(2833,\cdot)\) \(\chi_{7448}(3225,\cdot)\) \(\chi_{7448}(3321,\cdot)\) \(\chi_{7448}(3433,\cdot)\) \(\chi_{7448}(3601,\cdot)\) \(\chi_{7448}(3897,\cdot)\) \(\chi_{7448}(4289,\cdot)\) \(\chi_{7448}(4385,\cdot)\) \(\chi_{7448}(4497,\cdot)\) \(\chi_{7448}(4665,\cdot)\) \(\chi_{7448}(4905,\cdot)\) \(\chi_{7448}(4961,\cdot)\) \(\chi_{7448}(5353,\cdot)\) \(\chi_{7448}(5449,\cdot)\) \(\chi_{7448}(5561,\cdot)\) \(\chi_{7448}(5729,\cdot)\) \(\chi_{7448}(5969,\cdot)\) ...

Related number fields

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

Values on generators

\((1863,3725,3041,3137)\) → \((1,1,e\left(\frac{41}{42}\right),e\left(\frac{7}{18}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(23\)	\(25\)	\(27\)
\( \chi_{ 7448 }(33, a) \)	\(1\)	\(1\)	\(e\left(\frac{2}{63}\right)\)	\(e\left(\frac{67}{126}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{5}{7}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{71}{126}\right)\)	\(e\left(\frac{37}{126}\right)\)	\(e\left(\frac{55}{63}\right)\)	\(e\left(\frac{4}{63}\right)\)	\(e\left(\frac{2}{21}\right)\)