Dirichlet character \(\chi_{3168}(2605,\cdot)\)

• Label: 3168.2605
• Modulus: $3168$
• Conductor: $3168$
• Order: $120$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3168\)
Conductor:	\(3168\)
Order:	\(120\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3168.ew

\(\chi_{3168}(157,\cdot)\) \(\chi_{3168}(229,\cdot)\) \(\chi_{3168}(301,\cdot)\) \(\chi_{3168}(421,\cdot)\) \(\chi_{3168}(445,\cdot)\) \(\chi_{3168}(493,\cdot)\) \(\chi_{3168}(565,\cdot)\) \(\chi_{3168}(709,\cdot)\) \(\chi_{3168}(949,\cdot)\) \(\chi_{3168}(1021,\cdot)\) \(\chi_{3168}(1093,\cdot)\) \(\chi_{3168}(1213,\cdot)\) \(\chi_{3168}(1237,\cdot)\) \(\chi_{3168}(1285,\cdot)\) \(\chi_{3168}(1357,\cdot)\) \(\chi_{3168}(1501,\cdot)\) \(\chi_{3168}(1741,\cdot)\) \(\chi_{3168}(1813,\cdot)\) \(\chi_{3168}(1885,\cdot)\) \(\chi_{3168}(2005,\cdot)\) \(\chi_{3168}(2029,\cdot)\) \(\chi_{3168}(2077,\cdot)\) \(\chi_{3168}(2149,\cdot)\) \(\chi_{3168}(2293,\cdot)\) \(\chi_{3168}(2533,\cdot)\) \(\chi_{3168}(2605,\cdot)\) \(\chi_{3168}(2677,\cdot)\) \(\chi_{3168}(2797,\cdot)\) \(\chi_{3168}(2821,\cdot)\) \(\chi_{3168}(2869,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{120})$
Fixed field:	Number field defined by a degree 120 polynomial (not computed)

Values on generators

\((991,1189,353,1729)\) → \((1,e\left(\frac{7}{8}\right),e\left(\frac{1}{3}\right),e\left(\frac{3}{5}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 3168 }(2605, a) \)	\(1\)	\(1\)	\(e\left(\frac{113}{120}\right)\)	\(e\left(\frac{17}{60}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{37}{40}\right)\)	\(e\left(\frac{11}{12}\right)\)	\(e\left(\frac{53}{60}\right)\)	\(e\left(\frac{19}{120}\right)\)	\(e\left(\frac{4}{15}\right)\)	\(e\left(\frac{9}{40}\right)\)