Dirichlet character \(\chi_{2793}(488,\cdot)\)

• Label: 2793.488
• Modulus: $2793$
• Conductor: $2793$
• Order: $126$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: odd

Basic properties

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

Galois orbit 2793.er

\(\chi_{2793}(59,\cdot)\) \(\chi_{2793}(89,\cdot)\) \(\chi_{2793}(110,\cdot)\) \(\chi_{2793}(185,\cdot)\) \(\chi_{2793}(257,\cdot)\) \(\chi_{2793}(269,\cdot)\) \(\chi_{2793}(458,\cdot)\) \(\chi_{2793}(488,\cdot)\) \(\chi_{2793}(584,\cdot)\) \(\chi_{2793}(857,\cdot)\) \(\chi_{2793}(887,\cdot)\) \(\chi_{2793}(908,\cdot)\) \(\chi_{2793}(983,\cdot)\) \(\chi_{2793}(1055,\cdot)\) \(\chi_{2793}(1067,\cdot)\) \(\chi_{2793}(1286,\cdot)\) \(\chi_{2793}(1307,\cdot)\) \(\chi_{2793}(1382,\cdot)\) \(\chi_{2793}(1454,\cdot)\) \(\chi_{2793}(1466,\cdot)\) \(\chi_{2793}(1655,\cdot)\) \(\chi_{2793}(1706,\cdot)\) \(\chi_{2793}(1781,\cdot)\) \(\chi_{2793}(1853,\cdot)\) \(\chi_{2793}(1865,\cdot)\) \(\chi_{2793}(2054,\cdot)\) \(\chi_{2793}(2084,\cdot)\) \(\chi_{2793}(2105,\cdot)\) \(\chi_{2793}(2180,\cdot)\) \(\chi_{2793}(2252,\cdot)\) ...

Related number fields

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

Values on generators

\((932,2110,2206)\) → \((-1,e\left(\frac{5}{42}\right),e\left(\frac{5}{18}\right))\)

First values

\(a\)	\(-1\)	\(1\)	\(2\)	\(4\)	\(5\)	\(8\)	\(10\)	\(11\)	\(13\)	\(16\)	\(17\)	\(20\)
\( \chi_{ 2793 }(488, a) \)	\(-1\)	\(1\)	\(e\left(\frac{55}{63}\right)\)	\(e\left(\frac{47}{63}\right)\)	\(e\left(\frac{25}{63}\right)\)	\(e\left(\frac{13}{21}\right)\)	\(e\left(\frac{17}{63}\right)\)	\(e\left(\frac{25}{42}\right)\)	\(e\left(\frac{20}{63}\right)\)	\(e\left(\frac{31}{63}\right)\)	\(e\left(\frac{16}{63}\right)\)	\(e\left(\frac{1}{7}\right)\)