Basic properties
Modulus: | \(799\) | |
Conductor: | \(799\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(184\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | yes | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 799.q
\(\chi_{799}(15,\cdot)\) \(\chi_{799}(19,\cdot)\) \(\chi_{799}(26,\cdot)\) \(\chi_{799}(43,\cdot)\) \(\chi_{799}(60,\cdot)\) \(\chi_{799}(66,\cdot)\) \(\chi_{799}(70,\cdot)\) \(\chi_{799}(76,\cdot)\) \(\chi_{799}(77,\cdot)\) \(\chi_{799}(87,\cdot)\) \(\chi_{799}(104,\cdot)\) \(\chi_{799}(117,\cdot)\) \(\chi_{799}(127,\cdot)\) \(\chi_{799}(134,\cdot)\) \(\chi_{799}(138,\cdot)\) \(\chi_{799}(151,\cdot)\) \(\chi_{799}(161,\cdot)\) \(\chi_{799}(172,\cdot)\) \(\chi_{799}(179,\cdot)\) \(\chi_{799}(185,\cdot)\) \(\chi_{799}(219,\cdot)\) \(\chi_{799}(223,\cdot)\) \(\chi_{799}(229,\cdot)\) \(\chi_{799}(240,\cdot)\) \(\chi_{799}(246,\cdot)\) \(\chi_{799}(257,\cdot)\) \(\chi_{799}(264,\cdot)\) \(\chi_{799}(270,\cdot)\) \(\chi_{799}(274,\cdot)\) \(\chi_{799}(280,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{184})$ |
Fixed field: | Number field defined by a degree 184 polynomial (not computed) |
Values on generators
\((377,52)\) → \((e\left(\frac{1}{8}\right),e\left(\frac{13}{46}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) | \(10\) | \(11\) |
\( \chi_{ 799 }(43, a) \) | \(-1\) | \(1\) | \(e\left(\frac{77}{92}\right)\) | \(e\left(\frac{143}{184}\right)\) | \(e\left(\frac{31}{46}\right)\) | \(e\left(\frac{167}{184}\right)\) | \(e\left(\frac{113}{184}\right)\) | \(e\left(\frac{77}{184}\right)\) | \(e\left(\frac{47}{92}\right)\) | \(e\left(\frac{51}{92}\right)\) | \(e\left(\frac{137}{184}\right)\) | \(e\left(\frac{157}{184}\right)\) |