Dirichlet character \(\chi_{3503}(670,\cdot)\)

• Label: 3503.670
• Modulus: $3503$
• Conductor: $3503$
• Order: $420$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3503\)
Conductor:	\(3503\)
Order:	\(420\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3503.cv

\(\chi_{3503}(14,\cdot)\) \(\chi_{3503}(81,\cdot)\) \(\chi_{3503}(111,\cdot)\) \(\chi_{3503}(121,\cdot)\) \(\chi_{3503}(169,\cdot)\) \(\chi_{3503}(173,\cdot)\) \(\chi_{3503}(224,\cdot)\) \(\chi_{3503}(258,\cdot)\) \(\chi_{3503}(286,\cdot)\) \(\chi_{3503}(307,\cdot)\) \(\chi_{3503}(392,\cdot)\) \(\chi_{3503}(444,\cdot)\) \(\chi_{3503}(454,\cdot)\) \(\chi_{3503}(484,\cdot)\) \(\chi_{3503}(505,\cdot)\) \(\chi_{3503}(567,\cdot)\) \(\chi_{3503}(670,\cdot)\) \(\chi_{3503}(692,\cdot)\) \(\chi_{3503}(710,\cdot)\) \(\chi_{3503}(731,\cdot)\) \(\chi_{3503}(789,\cdot)\) \(\chi_{3503}(793,\cdot)\) \(\chi_{3503}(844,\cdot)\) \(\chi_{3503}(847,\cdot)\) \(\chi_{3503}(851,\cdot)\) \(\chi_{3503}(896,\cdot)\) \(\chi_{3503}(906,\cdot)\) \(\chi_{3503}(918,\cdot)\) \(\chi_{3503}(1073,\cdot)\) \(\chi_{3503}(1074,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{420})$
Fixed field:	Number field defined by a degree 420 polynomial (not computed)

Values on generators

\((3165,342)\) → \((e\left(\frac{2}{15}\right),e\left(\frac{23}{28}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 3503 }(670, a) \)	\(1\)	\(1\)	\(e\left(\frac{2}{35}\right)\)	\(e\left(\frac{401}{420}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{71}{84}\right)\)	\(e\left(\frac{1}{84}\right)\)	\(e\left(\frac{32}{105}\right)\)	\(e\left(\frac{6}{35}\right)\)	\(e\left(\frac{191}{210}\right)\)	\(e\left(\frac{379}{420}\right)\)	\(e\left(\frac{179}{210}\right)\)