Dirichlet character \(\chi_{1323}(1154,\cdot)\)

• Label: 1323.1154
• Modulus: $1323$
• Conductor: $1323$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(1323\)
Conductor:	\(1323\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 1323.ce

\(\chi_{1323}(20,\cdot)\) \(\chi_{1323}(41,\cdot)\) \(\chi_{1323}(83,\cdot)\) \(\chi_{1323}(104,\cdot)\) \(\chi_{1323}(167,\cdot)\) \(\chi_{1323}(209,\cdot)\) \(\chi_{1323}(230,\cdot)\) \(\chi_{1323}(272,\cdot)\) \(\chi_{1323}(335,\cdot)\) \(\chi_{1323}(356,\cdot)\) \(\chi_{1323}(398,\cdot)\) \(\chi_{1323}(419,\cdot)\) \(\chi_{1323}(461,\cdot)\) \(\chi_{1323}(482,\cdot)\) \(\chi_{1323}(524,\cdot)\) \(\chi_{1323}(545,\cdot)\) \(\chi_{1323}(608,\cdot)\) \(\chi_{1323}(650,\cdot)\) \(\chi_{1323}(671,\cdot)\) \(\chi_{1323}(713,\cdot)\) \(\chi_{1323}(776,\cdot)\) \(\chi_{1323}(797,\cdot)\) \(\chi_{1323}(839,\cdot)\) \(\chi_{1323}(860,\cdot)\) \(\chi_{1323}(902,\cdot)\) \(\chi_{1323}(923,\cdot)\) \(\chi_{1323}(965,\cdot)\) \(\chi_{1323}(986,\cdot)\) \(\chi_{1323}(1049,\cdot)\) \(\chi_{1323}(1091,\cdot)\) ...

Related number fields

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

Values on generators

\((785,1081)\) → \((e\left(\frac{7}{18}\right),e\left(\frac{1}{14}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)
\( \chi_{ 1323 }(1154, a) \)	\(1\)	\(1\)	\(e\left(\frac{31}{126}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{1}{63}\right)\)	\(e\left(\frac{31}{42}\right)\)	\(e\left(\frac{11}{42}\right)\)	\(e\left(\frac{115}{126}\right)\)	\(e\left(\frac{59}{126}\right)\)	\(e\left(\frac{62}{63}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{1}{6}\right)\)