Dirichlet character \(\chi_{3503}(109,\cdot)\)

• Label: 3503.109
• Modulus: $3503$
• Conductor: $3503$
• Order: $35$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(3503\)
Conductor:	\(3503\)
Order:	\(35\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 3503.bj

\(\chi_{3503}(16,\cdot)\) \(\chi_{3503}(109,\cdot)\) \(\chi_{3503}(219,\cdot)\) \(\chi_{3503}(256,\cdot)\) \(\chi_{3503}(388,\cdot)\) \(\chi_{3503}(593,\cdot)\) \(\chi_{3503}(932,\cdot)\) \(\chi_{3503}(934,\cdot)\) \(\chi_{3503}(1273,\cdot)\) \(\chi_{3503}(1349,\cdot)\) \(\chi_{3503}(1372,\cdot)\) \(\chi_{3503}(1465,\cdot)\) \(\chi_{3503}(1744,\cdot)\) \(\chi_{3503}(2050,\cdot)\) \(\chi_{3503}(2062,\cdot)\) \(\chi_{3503}(2143,\cdot)\) \(\chi_{3503}(2389,\cdot)\) \(\chi_{3503}(2403,\cdot)\) \(\chi_{3503}(2422,\cdot)\) \(\chi_{3503}(2482,\cdot)\) \(\chi_{3503}(2705,\cdot)\) \(\chi_{3503}(2761,\cdot)\) \(\chi_{3503}(3383,\cdot)\) \(\chi_{3503}(3418,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{35})$
Fixed field:	Number field defined by a degree 35 polynomial

Values on generators

\((3165,342)\) → \((e\left(\frac{1}{5}\right),e\left(\frac{5}{7}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 3503 }(109, a) \)	\(1\)	\(1\)	\(e\left(\frac{13}{35}\right)\)	\(e\left(\frac{32}{35}\right)\)	\(e\left(\frac{26}{35}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{2}{7}\right)\)	\(e\left(\frac{11}{35}\right)\)	\(e\left(\frac{4}{35}\right)\)	\(e\left(\frac{29}{35}\right)\)	\(e\left(\frac{23}{35}\right)\)	\(e\left(\frac{16}{35}\right)\)