Dirichlet character \(\chi_{9016}(29,\cdot)\)

• Label: 9016.29
• Modulus: $9016$
• Conductor: $9016$
• Order: $154$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(9016\)
Conductor:	\(9016\)
Order:	\(154\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 9016.dt

\(\chi_{9016}(29,\cdot)\) \(\chi_{9016}(85,\cdot)\) \(\chi_{9016}(141,\cdot)\) \(\chi_{9016}(533,\cdot)\) \(\chi_{9016}(813,\cdot)\) \(\chi_{9016}(869,\cdot)\) \(\chi_{9016}(1037,\cdot)\) \(\chi_{9016}(1093,\cdot)\) \(\chi_{9016}(1205,\cdot)\) \(\chi_{9016}(1317,\cdot)\) \(\chi_{9016}(1429,\cdot)\) \(\chi_{9016}(1485,\cdot)\) \(\chi_{9016}(1821,\cdot)\) \(\chi_{9016}(2101,\cdot)\) \(\chi_{9016}(2325,\cdot)\) \(\chi_{9016}(2381,\cdot)\) \(\chi_{9016}(2493,\cdot)\) \(\chi_{9016}(2605,\cdot)\) \(\chi_{9016}(2661,\cdot)\) \(\chi_{9016}(2717,\cdot)\) \(\chi_{9016}(2773,\cdot)\) \(\chi_{9016}(3109,\cdot)\) \(\chi_{9016}(3389,\cdot)\) \(\chi_{9016}(3445,\cdot)\) \(\chi_{9016}(3613,\cdot)\) \(\chi_{9016}(3669,\cdot)\) \(\chi_{9016}(3781,\cdot)\) \(\chi_{9016}(3893,\cdot)\) \(\chi_{9016}(3949,\cdot)\) \(\chi_{9016}(4005,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{77})$
Fixed field:	Number field defined by a degree 154 polynomial (not computed)

Values on generators

\((2255,4509,1473,1569)\) → \((1,-1,e\left(\frac{3}{7}\right),e\left(\frac{9}{11}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(3\)	\(5\)	\(9\)	\(11\)	\(13\)	\(15\)	\(17\)	\(19\)	\(25\)	\(27\)
\( \chi_{ 9016 }(29, a) \)	\(1\)	\(1\)	\(e\left(\frac{3}{154}\right)\)	\(e\left(\frac{115}{154}\right)\)	\(e\left(\frac{3}{77}\right)\)	\(e\left(\frac{1}{154}\right)\)	\(e\left(\frac{15}{154}\right)\)	\(e\left(\frac{59}{77}\right)\)	\(e\left(\frac{34}{77}\right)\)	\(e\left(\frac{17}{22}\right)\)	\(e\left(\frac{38}{77}\right)\)	\(e\left(\frac{9}{154}\right)\)