Dirichlet character \(\chi_{2793}(641,\cdot)\)

• Label: 2793.641
• Modulus: $2793$
• Conductor: $2793$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	\(2793\)
Conductor:	\(2793\)
Order:	\(126\)
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 2793.es

\(\chi_{2793}(86,\cdot)\) \(\chi_{2793}(242,\cdot)\) \(\chi_{2793}(317,\cdot)\) \(\chi_{2793}(326,\cdot)\) \(\chi_{2793}(338,\cdot)\) \(\chi_{2793}(485,\cdot)\) \(\chi_{2793}(515,\cdot)\) \(\chi_{2793}(641,\cdot)\) \(\chi_{2793}(725,\cdot)\) \(\chi_{2793}(737,\cdot)\) \(\chi_{2793}(884,\cdot)\) \(\chi_{2793}(914,\cdot)\) \(\chi_{2793}(1040,\cdot)\) \(\chi_{2793}(1115,\cdot)\) \(\chi_{2793}(1124,\cdot)\) \(\chi_{2793}(1136,\cdot)\) \(\chi_{2793}(1283,\cdot)\) \(\chi_{2793}(1313,\cdot)\) \(\chi_{2793}(1514,\cdot)\) \(\chi_{2793}(1523,\cdot)\) \(\chi_{2793}(1535,\cdot)\) \(\chi_{2793}(1682,\cdot)\) \(\chi_{2793}(1712,\cdot)\) \(\chi_{2793}(1838,\cdot)\) \(\chi_{2793}(1913,\cdot)\) \(\chi_{2793}(1922,\cdot)\) \(\chi_{2793}(1934,\cdot)\) \(\chi_{2793}(2081,\cdot)\) \(\chi_{2793}(2111,\cdot)\) \(\chi_{2793}(2237,\cdot)\) ...

Related number fields

Field of values:	$\Q(\zeta_{63})$
Fixed field:	Number field defined by a degree 126 polynomial (not computed)

Values on generators

\((932,2110,2206)\) → \((-1,e\left(\frac{5}{21}\right),e\left(\frac{7}{18}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(20\)
\( \chi_{ 2793 }(641, a) \)	\(1\)	\(1\)	\(e\left(\frac{5}{63}\right)\)	\(e\left(\frac{10}{63}\right)\)	\(e\left(\frac{79}{126}\right)\)	\(e\left(\frac{5}{21}\right)\)	\(e\left(\frac{89}{126}\right)\)	\(e\left(\frac{29}{42}\right)\)	\(e\left(\frac{101}{126}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(e\left(\frac{43}{126}\right)\)	\(e\left(\frac{11}{14}\right)\)