Dirichlet character \(\chi_{6043}(1734,\cdot)\)

• Label: 6043.1734
• Modulus: $6043$
• Conductor: $6043$
• Order: $159$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(6043\)
Conductor:	\(6043\)
Order:	\(159\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 6043.k

\(\chi_{6043}(4,\cdot)\) \(\chi_{6043}(16,\cdot)\) \(\chi_{6043}(256,\cdot)\) \(\chi_{6043}(462,\cdot)\) \(\chi_{6043}(467,\cdot)\) \(\chi_{6043}(483,\cdot)\) \(\chi_{6043}(513,\cdot)\) \(\chi_{6043}(525,\cdot)\) \(\chi_{6043}(541,\cdot)\) \(\chi_{6043}(695,\cdot)\) \(\chi_{6043}(697,\cdot)\) \(\chi_{6043}(830,\cdot)\) \(\chi_{6043}(858,\cdot)\) \(\chi_{6043}(890,\cdot)\) \(\chi_{6043}(893,\cdot)\) \(\chi_{6043}(897,\cdot)\) \(\chi_{6043}(975,\cdot)\) \(\chi_{6043}(986,\cdot)\) \(\chi_{6043}(1024,\cdot)\) \(\chi_{6043}(1221,\cdot)\) \(\chi_{6043}(1294,\cdot)\) \(\chi_{6043}(1305,\cdot)\) \(\chi_{6043}(1349,\cdot)\) \(\chi_{6043}(1407,\cdot)\) \(\chi_{6043}(1453,\cdot)\) \(\chi_{6043}(1511,\cdot)\) \(\chi_{6043}(1642,\cdot)\) \(\chi_{6043}(1646,\cdot)\) \(\chi_{6043}(1713,\cdot)\) \(\chi_{6043}(1734,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{159})$
Fixed field:	Number field defined by a degree 159 polynomial (not computed)

Values on generators

\(5\) → \(e\left(\frac{25}{159}\right)\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(3\)	\(4\)	\(5\)	\(6\)	\(7\)	\(8\)	\(9\)	\(10\)	\(11\)
\( \chi_{ 6043 }(1734, a) \)	\(1\)	\(1\)	\(e\left(\frac{136}{159}\right)\)	\(e\left(\frac{42}{53}\right)\)	\(e\left(\frac{113}{159}\right)\)	\(e\left(\frac{25}{159}\right)\)	\(e\left(\frac{103}{159}\right)\)	\(e\left(\frac{80}{159}\right)\)	\(e\left(\frac{30}{53}\right)\)	\(e\left(\frac{31}{53}\right)\)	\(e\left(\frac{2}{159}\right)\)	\(e\left(\frac{2}{3}\right)\)