Dirichlet character \(\chi_{3675}(302,\cdot)\)

• Label: 3675.302
• Modulus: $3675$
• Conductor: $3675$
• Order: $140$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3675\)
Conductor:	\(3675\)
Order:	\(140\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3675.de

\(\chi_{3675}(8,\cdot)\) \(\chi_{3675}(92,\cdot)\) \(\chi_{3675}(113,\cdot)\) \(\chi_{3675}(302,\cdot)\) \(\chi_{3675}(323,\cdot)\) \(\chi_{3675}(428,\cdot)\) \(\chi_{3675}(512,\cdot)\) \(\chi_{3675}(533,\cdot)\) \(\chi_{3675}(617,\cdot)\) \(\chi_{3675}(722,\cdot)\) \(\chi_{3675}(827,\cdot)\) \(\chi_{3675}(848,\cdot)\) \(\chi_{3675}(953,\cdot)\) \(\chi_{3675}(1037,\cdot)\) \(\chi_{3675}(1058,\cdot)\) \(\chi_{3675}(1142,\cdot)\) \(\chi_{3675}(1163,\cdot)\) \(\chi_{3675}(1247,\cdot)\) \(\chi_{3675}(1352,\cdot)\) \(\chi_{3675}(1478,\cdot)\) \(\chi_{3675}(1562,\cdot)\) \(\chi_{3675}(1583,\cdot)\) \(\chi_{3675}(1688,\cdot)\) \(\chi_{3675}(1772,\cdot)\) \(\chi_{3675}(1877,\cdot)\) \(\chi_{3675}(1898,\cdot)\) \(\chi_{3675}(2003,\cdot)\) \(\chi_{3675}(2087,\cdot)\) \(\chi_{3675}(2192,\cdot)\) \(\chi_{3675}(2213,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{140})$
Fixed field:	Number field defined by a degree 140 polynomial (not computed)

Values on generators

\((1226,1177,2551)\) → \((-1,e\left(\frac{1}{20}\right),e\left(\frac{6}{7}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(8\)	\(11\)	\(13\)	\(16\)	\(17\)	\(19\)	\(22\)	\(23\)
\( \chi_{ 3675 }(302, a) \)	\(1\)	\(1\)	\(e\left(\frac{117}{140}\right)\)	\(e\left(\frac{47}{70}\right)\)	\(e\left(\frac{71}{140}\right)\)	\(e\left(\frac{41}{70}\right)\)	\(e\left(\frac{33}{140}\right)\)	\(e\left(\frac{12}{35}\right)\)	\(e\left(\frac{81}{140}\right)\)	\(e\left(\frac{9}{10}\right)\)	\(e\left(\frac{59}{140}\right)\)	\(e\left(\frac{87}{140}\right)\)