Dirichlet character \(\chi_{3871}(919,\cdot)\)

• Label: 3871.919
• Modulus: $3871$
• Conductor: $3871$
• Order: $273$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3871\)
Conductor:	\(3871\)
Order:	\(273\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3871.cp

\(\chi_{3871}(9,\cdot)\) \(\chi_{3871}(25,\cdot)\) \(\chi_{3871}(72,\cdot)\) \(\chi_{3871}(81,\cdot)\) \(\chi_{3871}(95,\cdot)\) \(\chi_{3871}(123,\cdot)\) \(\chi_{3871}(130,\cdot)\) \(\chi_{3871}(163,\cdot)\) \(\chi_{3871}(184,\cdot)\) \(\chi_{3871}(198,\cdot)\) \(\chi_{3871}(200,\cdot)\) \(\chi_{3871}(207,\cdot)\) \(\chi_{3871}(268,\cdot)\) \(\chi_{3871}(310,\cdot)\) \(\chi_{3871}(366,\cdot)\) \(\chi_{3871}(431,\cdot)\) \(\chi_{3871}(478,\cdot)\) \(\chi_{3871}(485,\cdot)\) \(\chi_{3871}(487,\cdot)\) \(\chi_{3871}(494,\cdot)\) \(\chi_{3871}(506,\cdot)\) \(\chi_{3871}(550,\cdot)\) \(\chi_{3871}(562,\cdot)\) \(\chi_{3871}(578,\cdot)\) \(\chi_{3871}(625,\cdot)\) \(\chi_{3871}(634,\cdot)\) \(\chi_{3871}(648,\cdot)\) \(\chi_{3871}(676,\cdot)\) \(\chi_{3871}(683,\cdot)\) \(\chi_{3871}(730,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{273})$
Fixed field:	Number field defined by a degree 273 polynomial (not computed)

Values on generators

\((2845,1030)\) → \((e\left(\frac{16}{21}\right),e\left(\frac{25}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(8\)	\(9\)	\(10\)	\(11\)	\(12\)
\( \chi_{ 3871 }(919, a) \)	\(1\)	\(1\)	\(e\left(\frac{34}{91}\right)\)	\(e\left(\frac{110}{273}\right)\)	\(e\left(\frac{68}{91}\right)\)	\(e\left(\frac{229}{273}\right)\)	\(e\left(\frac{212}{273}\right)\)	\(e\left(\frac{11}{91}\right)\)	\(e\left(\frac{220}{273}\right)\)	\(e\left(\frac{58}{273}\right)\)	\(e\left(\frac{6}{91}\right)\)	\(e\left(\frac{41}{273}\right)\)