Dirichlet character \(\chi_{3267}(1684,\cdot)\)

• Label: 3267.1684
• Modulus: $3267$
• Conductor: $1089$
• Order: $33$
• Real: no
• Primitive: no
• Minimal: no
• Parity: even

Basic properties

Modulus:	\(3267\)
Conductor:	\(1089\)
Order:	\(33\)
Real:	no
Primitive:	no, induced from \(\chi_{1089}(958,\cdot)\)
Minimal:	no
Parity:	even

Galois orbit 3267.y

\(\chi_{3267}(100,\cdot)\) \(\chi_{3267}(199,\cdot)\) \(\chi_{3267}(397,\cdot)\) \(\chi_{3267}(496,\cdot)\) \(\chi_{3267}(694,\cdot)\) \(\chi_{3267}(793,\cdot)\) \(\chi_{3267}(991,\cdot)\) \(\chi_{3267}(1288,\cdot)\) \(\chi_{3267}(1387,\cdot)\) \(\chi_{3267}(1585,\cdot)\) \(\chi_{3267}(1684,\cdot)\) \(\chi_{3267}(1882,\cdot)\) \(\chi_{3267}(1981,\cdot)\) \(\chi_{3267}(2278,\cdot)\) \(\chi_{3267}(2476,\cdot)\) \(\chi_{3267}(2575,\cdot)\) \(\chi_{3267}(2773,\cdot)\) \(\chi_{3267}(2872,\cdot)\) \(\chi_{3267}(3070,\cdot)\) \(\chi_{3267}(3169,\cdot)\)

Related number fields

Field of values:	\(\Q(\zeta_{33})\)
Fixed field:	Number field defined by a degree 33 polynomial

Values on generators

\((3026,244)\) → \((e\left(\frac{1}{3}\right),e\left(\frac{2}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(7\)	\(8\)	\(10\)	\(13\)	\(14\)	\(16\)	\(17\)
\( \chi_{ 3267 }(1684, a) \)	\(1\)	\(1\)	\(e\left(\frac{17}{33}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{20}{33}\right)\)	\(e\left(\frac{6}{11}\right)\)	\(e\left(\frac{7}{11}\right)\)	\(e\left(\frac{1}{33}\right)\)	\(e\left(\frac{4}{33}\right)\)	\(e\left(\frac{2}{33}\right)\)	\(e\left(\frac{10}{11}\right)\)