Dirichlet character \(\chi_{2952}(2653,\cdot)\)

• Label: 2952.2653
• 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.er

\(\chi_{2952}(13,\cdot)\) \(\chi_{2952}(157,\cdot)\) \(\chi_{2952}(229,\cdot)\) \(\chi_{2952}(421,\cdot)\) \(\chi_{2952}(445,\cdot)\) \(\chi_{2952}(589,\cdot)\) \(\chi_{2952}(637,\cdot)\) \(\chi_{2952}(709,\cdot)\) \(\chi_{2952}(805,\cdot)\) \(\chi_{2952}(949,\cdot)\) \(\chi_{2952}(997,\cdot)\) \(\chi_{2952}(1141,\cdot)\) \(\chi_{2952}(1165,\cdot)\) \(\chi_{2952}(1213,\cdot)\) \(\chi_{2952}(1237,\cdot)\) \(\chi_{2952}(1381,\cdot)\) \(\chi_{2952}(1429,\cdot)\) \(\chi_{2952}(1573,\cdot)\) \(\chi_{2952}(1669,\cdot)\) \(\chi_{2952}(1741,\cdot)\) \(\chi_{2952}(1789,\cdot)\) \(\chi_{2952}(1933,\cdot)\) \(\chi_{2952}(1957,\cdot)\) \(\chi_{2952}(2149,\cdot)\) \(\chi_{2952}(2221,\cdot)\) \(\chi_{2952}(2365,\cdot)\) \(\chi_{2952}(2389,\cdot)\) \(\chi_{2952}(2605,\cdot)\) \(\chi_{2952}(2653,\cdot)\) \(\chi_{2952}(2677,\cdot)\) ...

Related number fields

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

Values on generators

\((2215,1477,2297,1441)\) → \((1,-1,e\left(\frac{2}{3}\right),e\left(\frac{7}{40}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(13\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)
\( \chi_{ 2952 }(2653, a) \)	\(-1\)	\(1\)	\(e\left(\frac{41}{60}\right)\)	\(e\left(\frac{59}{120}\right)\)	\(e\left(\frac{83}{120}\right)\)	\(e\left(\frac{31}{120}\right)\)	\(e\left(\frac{31}{40}\right)\)	\(e\left(\frac{3}{40}\right)\)	\(e\left(\frac{19}{30}\right)\)	\(e\left(\frac{11}{30}\right)\)	\(e\left(\frac{47}{120}\right)\)	\(e\left(\frac{7}{30}\right)\)