Basic properties
Modulus: | \(2541\) | |
Conductor: | \(2541\) | 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: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 2541.ca
\(\chi_{2541}(20,\cdot)\) \(\chi_{2541}(104,\cdot)\) \(\chi_{2541}(125,\cdot)\) \(\chi_{2541}(146,\cdot)\) \(\chi_{2541}(335,\cdot)\) \(\chi_{2541}(356,\cdot)\) \(\chi_{2541}(377,\cdot)\) \(\chi_{2541}(482,\cdot)\) \(\chi_{2541}(566,\cdot)\) \(\chi_{2541}(587,\cdot)\) \(\chi_{2541}(713,\cdot)\) \(\chi_{2541}(797,\cdot)\) \(\chi_{2541}(818,\cdot)\) \(\chi_{2541}(839,\cdot)\) \(\chi_{2541}(944,\cdot)\) \(\chi_{2541}(1028,\cdot)\) \(\chi_{2541}(1070,\cdot)\) \(\chi_{2541}(1175,\cdot)\) \(\chi_{2541}(1259,\cdot)\) \(\chi_{2541}(1280,\cdot)\) \(\chi_{2541}(1301,\cdot)\) \(\chi_{2541}(1406,\cdot)\) \(\chi_{2541}(1490,\cdot)\) \(\chi_{2541}(1511,\cdot)\) \(\chi_{2541}(1532,\cdot)\) \(\chi_{2541}(1637,\cdot)\) \(\chi_{2541}(1742,\cdot)\) \(\chi_{2541}(1763,\cdot)\) \(\chi_{2541}(1868,\cdot)\) \(\chi_{2541}(1952,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{55})$ |
Fixed field: | Number field defined by a degree 110 polynomial (not computed) |
Values on generators
\((848,1816,2059)\) → \((-1,-1,e\left(\frac{42}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(13\) | \(16\) | \(17\) | \(19\) | \(20\) |
\( \chi_{ 2541 }(1490, a) \) | \(1\) | \(1\) | \(e\left(\frac{29}{110}\right)\) | \(e\left(\frac{29}{55}\right)\) | \(e\left(\frac{28}{55}\right)\) | \(e\left(\frac{87}{110}\right)\) | \(e\left(\frac{17}{22}\right)\) | \(e\left(\frac{69}{110}\right)\) | \(e\left(\frac{3}{55}\right)\) | \(e\left(\frac{23}{55}\right)\) | \(e\left(\frac{97}{110}\right)\) | \(e\left(\frac{2}{55}\right)\) |