Basic properties
Modulus: | \(3267\) | |
Conductor: | \(3267\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(495\) | 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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 3267.bs
\(\chi_{3267}(4,\cdot)\) \(\chi_{3267}(16,\cdot)\) \(\chi_{3267}(25,\cdot)\) \(\chi_{3267}(31,\cdot)\) \(\chi_{3267}(49,\cdot)\) \(\chi_{3267}(58,\cdot)\) \(\chi_{3267}(70,\cdot)\) \(\chi_{3267}(97,\cdot)\) \(\chi_{3267}(103,\cdot)\) \(\chi_{3267}(115,\cdot)\) \(\chi_{3267}(157,\cdot)\) \(\chi_{3267}(169,\cdot)\) \(\chi_{3267}(196,\cdot)\) \(\chi_{3267}(214,\cdot)\) \(\chi_{3267}(223,\cdot)\) \(\chi_{3267}(229,\cdot)\) \(\chi_{3267}(247,\cdot)\) \(\chi_{3267}(256,\cdot)\) \(\chi_{3267}(268,\cdot)\) \(\chi_{3267}(295,\cdot)\) \(\chi_{3267}(301,\cdot)\) \(\chi_{3267}(313,\cdot)\) \(\chi_{3267}(322,\cdot)\) \(\chi_{3267}(328,\cdot)\) \(\chi_{3267}(346,\cdot)\) \(\chi_{3267}(355,\cdot)\) \(\chi_{3267}(367,\cdot)\) \(\chi_{3267}(394,\cdot)\) \(\chi_{3267}(400,\cdot)\) \(\chi_{3267}(412,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{495})$ |
Fixed field: | Number field defined by a degree 495 polynomial (not computed) |
Values on generators
\((3026,244)\) → \((e\left(\frac{7}{9}\right),e\left(\frac{7}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(7\) | \(8\) | \(10\) | \(13\) | \(14\) | \(16\) | \(17\) |
\( \chi_{ 3267 }(49, a) \) | \(1\) | \(1\) | \(e\left(\frac{448}{495}\right)\) | \(e\left(\frac{401}{495}\right)\) | \(e\left(\frac{152}{495}\right)\) | \(e\left(\frac{166}{495}\right)\) | \(e\left(\frac{118}{165}\right)\) | \(e\left(\frac{7}{33}\right)\) | \(e\left(\frac{38}{495}\right)\) | \(e\left(\frac{119}{495}\right)\) | \(e\left(\frac{307}{495}\right)\) | \(e\left(\frac{149}{165}\right)\) |