Dirichlet character \(\chi_{4056}(971,\cdot)\)

• Label: 4056.971
• Modulus: $4056$
• Conductor: $4056$
• Order: $78$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(4056\)
Conductor:	\(4056\)
Order:	\(78\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4056.cv

\(\chi_{4056}(35,\cdot)\) \(\chi_{4056}(107,\cdot)\) \(\chi_{4056}(347,\cdot)\) \(\chi_{4056}(419,\cdot)\) \(\chi_{4056}(659,\cdot)\) \(\chi_{4056}(731,\cdot)\) \(\chi_{4056}(971,\cdot)\) \(\chi_{4056}(1043,\cdot)\) \(\chi_{4056}(1283,\cdot)\) \(\chi_{4056}(1355,\cdot)\) \(\chi_{4056}(1595,\cdot)\) \(\chi_{4056}(1907,\cdot)\) \(\chi_{4056}(1979,\cdot)\) \(\chi_{4056}(2291,\cdot)\) \(\chi_{4056}(2531,\cdot)\) \(\chi_{4056}(2603,\cdot)\) \(\chi_{4056}(2843,\cdot)\) \(\chi_{4056}(2915,\cdot)\) \(\chi_{4056}(3155,\cdot)\) \(\chi_{4056}(3227,\cdot)\) \(\chi_{4056}(3467,\cdot)\) \(\chi_{4056}(3539,\cdot)\) \(\chi_{4056}(3779,\cdot)\) \(\chi_{4056}(3851,\cdot)\)

Related number fields

Field of values:	$\Q(\zeta_{39})$
Fixed field:	Number field defined by a degree 78 polynomial

Values on generators

\((1015,2029,2705,3889)\) → \((-1,-1,-1,e\left(\frac{11}{39}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(5\)	\(7\)	\(11\)	\(17\)	\(19\)	\(23\)	\(25\)	\(29\)	\(31\)	\(35\)
\( \chi_{ 4056 }(971, a) \)	\(1\)	\(1\)	\(e\left(\frac{7}{13}\right)\)	\(e\left(\frac{53}{78}\right)\)	\(e\left(\frac{43}{78}\right)\)	\(e\left(\frac{53}{78}\right)\)	\(e\left(\frac{1}{3}\right)\)	\(e\left(\frac{2}{3}\right)\)	\(e\left(\frac{1}{13}\right)\)	\(e\left(\frac{11}{39}\right)\)	\(e\left(\frac{11}{26}\right)\)	\(e\left(\frac{17}{78}\right)\)