Basic properties
Modulus: | \(4235\) | |
Conductor: | \(4235\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(110\) | 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 4235.cs
\(\chi_{4235}(69,\cdot)\) \(\chi_{4235}(104,\cdot)\) \(\chi_{4235}(174,\cdot)\) \(\chi_{4235}(279,\cdot)\) \(\chi_{4235}(454,\cdot)\) \(\chi_{4235}(489,\cdot)\) \(\chi_{4235}(559,\cdot)\) \(\chi_{4235}(664,\cdot)\) \(\chi_{4235}(839,\cdot)\) \(\chi_{4235}(944,\cdot)\) \(\chi_{4235}(1224,\cdot)\) \(\chi_{4235}(1259,\cdot)\) \(\chi_{4235}(1329,\cdot)\) \(\chi_{4235}(1434,\cdot)\) \(\chi_{4235}(1609,\cdot)\) \(\chi_{4235}(1644,\cdot)\) \(\chi_{4235}(1714,\cdot)\) \(\chi_{4235}(1819,\cdot)\) \(\chi_{4235}(1994,\cdot)\) \(\chi_{4235}(2029,\cdot)\) \(\chi_{4235}(2099,\cdot)\) \(\chi_{4235}(2204,\cdot)\) \(\chi_{4235}(2379,\cdot)\) \(\chi_{4235}(2414,\cdot)\) \(\chi_{4235}(2484,\cdot)\) \(\chi_{4235}(2589,\cdot)\) \(\chi_{4235}(2764,\cdot)\) \(\chi_{4235}(2799,\cdot)\) \(\chi_{4235}(2869,\cdot)\) \(\chi_{4235}(2974,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{55})$ |
Fixed field: | Number field defined by a degree 110 polynomial (not computed) |
Values on generators
\((2542,1816,2906)\) → \((-1,-1,e\left(\frac{39}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(8\) | \(9\) | \(12\) | \(13\) | \(16\) | \(17\) |
\( \chi_{ 4235 }(2379, a) \) | \(-1\) | \(1\) | \(e\left(\frac{23}{110}\right)\) | \(e\left(\frac{2}{5}\right)\) | \(e\left(\frac{23}{55}\right)\) | \(e\left(\frac{67}{110}\right)\) | \(e\left(\frac{69}{110}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{9}{11}\right)\) | \(e\left(\frac{34}{55}\right)\) | \(e\left(\frac{46}{55}\right)\) | \(e\left(\frac{41}{55}\right)\) |