Dirichlet character \(\chi_{2952}(1739,\cdot)\)

• Label: 2952.1739
• Modulus: $2952$
• Conductor: $2952$
• Order: $120$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

Modulus:	\(2952\)
Conductor:	\(2952\)
Order:	\(120\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	odd

Galois orbit 2952.et

\(\chi_{2952}(11,\cdot)\) \(\chi_{2952}(227,\cdot)\) \(\chi_{2952}(275,\cdot)\) \(\chi_{2952}(299,\cdot)\) \(\chi_{2952}(347,\cdot)\) \(\chi_{2952}(563,\cdot)\) \(\chi_{2952}(587,\cdot)\) \(\chi_{2952}(731,\cdot)\) \(\chi_{2952}(803,\cdot)\) \(\chi_{2952}(995,\cdot)\) \(\chi_{2952}(1019,\cdot)\) \(\chi_{2952}(1163,\cdot)\) \(\chi_{2952}(1211,\cdot)\) \(\chi_{2952}(1283,\cdot)\) \(\chi_{2952}(1379,\cdot)\) \(\chi_{2952}(1523,\cdot)\) \(\chi_{2952}(1571,\cdot)\) \(\chi_{2952}(1715,\cdot)\) \(\chi_{2952}(1739,\cdot)\) \(\chi_{2952}(1787,\cdot)\) \(\chi_{2952}(1811,\cdot)\) \(\chi_{2952}(1955,\cdot)\) \(\chi_{2952}(2003,\cdot)\) \(\chi_{2952}(2147,\cdot)\) \(\chi_{2952}(2243,\cdot)\) \(\chi_{2952}(2315,\cdot)\) \(\chi_{2952}(2363,\cdot)\) \(\chi_{2952}(2507,\cdot)\) \(\chi_{2952}(2531,\cdot)\) \(\chi_{2952}(2723,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{120})$
Fixed field:	Number field defined by a degree 120 polynomial (not computed)

Values on generators

\((2215,1477,2297,1441)\) → \((-1,-1,e\left(\frac{1}{6}\right),e\left(\frac{33}{40}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\( \chi_{ 2952 }(1739, a) \)	\(-1\)	\(1\)	\(e\left(\frac{29}{60}\right)\)	\(e\left(\frac{41}{120}\right)\)	\(e\left(\frac{77}{120}\right)\)	\(e\left(\frac{49}{120}\right)\)	\(e\left(\frac{29}{40}\right)\)	\(e\left(\frac{17}{40}\right)\)	\(e\left(\frac{1}{30}\right)\)	\(e\left(\frac{29}{30}\right)\)	\(e\left(\frac{53}{120}\right)\)	\(e\left(\frac{14}{15}\right)\)