Basic properties
Modulus: | \(9200\) | |
Conductor: | \(9200\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(220\) | 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 9200.fm
\(\chi_{9200}(19,\cdot)\) \(\chi_{9200}(339,\cdot)\) \(\chi_{9200}(379,\cdot)\) \(\chi_{9200}(419,\cdot)\) \(\chi_{9200}(539,\cdot)\) \(\chi_{9200}(619,\cdot)\) \(\chi_{9200}(659,\cdot)\) \(\chi_{9200}(779,\cdot)\) \(\chi_{9200}(819,\cdot)\) \(\chi_{9200}(939,\cdot)\) \(\chi_{9200}(1019,\cdot)\) \(\chi_{9200}(1259,\cdot)\) \(\chi_{9200}(1339,\cdot)\) \(\chi_{9200}(1459,\cdot)\) \(\chi_{9200}(1539,\cdot)\) \(\chi_{9200}(1579,\cdot)\) \(\chi_{9200}(1739,\cdot)\) \(\chi_{9200}(1859,\cdot)\) \(\chi_{9200}(1939,\cdot)\) \(\chi_{9200}(2179,\cdot)\) \(\chi_{9200}(2219,\cdot)\) \(\chi_{9200}(2259,\cdot)\) \(\chi_{9200}(2379,\cdot)\) \(\chi_{9200}(2459,\cdot)\) \(\chi_{9200}(2619,\cdot)\) \(\chi_{9200}(2659,\cdot)\) \(\chi_{9200}(2779,\cdot)\) \(\chi_{9200}(2859,\cdot)\) \(\chi_{9200}(3139,\cdot)\) \(\chi_{9200}(3179,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{220})$ |
Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((1151,6901,2577,1201)\) → \((-1,-i,e\left(\frac{9}{10}\right),e\left(\frac{15}{22}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(3\) | \(7\) | \(9\) | \(11\) | \(13\) | \(17\) | \(19\) | \(21\) | \(27\) | \(29\) |
\( \chi_{ 9200 }(19, a) \) | \(1\) | \(1\) | \(e\left(\frac{211}{220}\right)\) | \(e\left(\frac{5}{11}\right)\) | \(e\left(\frac{101}{110}\right)\) | \(e\left(\frac{173}{220}\right)\) | \(e\left(\frac{197}{220}\right)\) | \(e\left(\frac{26}{55}\right)\) | \(e\left(\frac{39}{220}\right)\) | \(e\left(\frac{91}{220}\right)\) | \(e\left(\frac{193}{220}\right)\) | \(e\left(\frac{71}{220}\right)\) |