Basic properties
Modulus: | \(16335\) | |
Conductor: | \(1815\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(220\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | no, induced from \(\chi_{1815}(53,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 16335.el
\(\chi_{16335}(53,\cdot)\) \(\chi_{16335}(377,\cdot)\) \(\chi_{16335}(647,\cdot)\) \(\chi_{16335}(863,\cdot)\) \(\chi_{16335}(917,\cdot)\) \(\chi_{16335}(1268,\cdot)\) \(\chi_{16335}(1457,\cdot)\) \(\chi_{16335}(1538,\cdot)\) \(\chi_{16335}(1808,\cdot)\) \(\chi_{16335}(1862,\cdot)\) \(\chi_{16335}(2132,\cdot)\) \(\chi_{16335}(2348,\cdot)\) \(\chi_{16335}(2402,\cdot)\) \(\chi_{16335}(2753,\cdot)\) \(\chi_{16335}(2942,\cdot)\) \(\chi_{16335}(3023,\cdot)\) \(\chi_{16335}(3293,\cdot)\) \(\chi_{16335}(3347,\cdot)\) \(\chi_{16335}(3617,\cdot)\) \(\chi_{16335}(3833,\cdot)\) \(\chi_{16335}(3887,\cdot)\) \(\chi_{16335}(4427,\cdot)\) \(\chi_{16335}(4508,\cdot)\) \(\chi_{16335}(4778,\cdot)\) \(\chi_{16335}(4832,\cdot)\) \(\chi_{16335}(5102,\cdot)\) \(\chi_{16335}(5318,\cdot)\) \(\chi_{16335}(5372,\cdot)\) \(\chi_{16335}(5723,\cdot)\) \(\chi_{16335}(5912,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{220})$ |
Fixed field: | Number field defined by a degree 220 polynomial (not computed) |
Values on generators
\((3026,9802,3511)\) → \((-1,-i,e\left(\frac{53}{55}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) | \(23\) |
\( \chi_{ 16335 }(53, a) \) | \(1\) | \(1\) | \(e\left(\frac{47}{220}\right)\) | \(e\left(\frac{47}{110}\right)\) | \(e\left(\frac{109}{220}\right)\) | \(e\left(\frac{141}{220}\right)\) | \(e\left(\frac{127}{220}\right)\) | \(e\left(\frac{39}{55}\right)\) | \(e\left(\frac{47}{55}\right)\) | \(e\left(\frac{103}{220}\right)\) | \(e\left(\frac{53}{110}\right)\) | \(e\left(\frac{9}{44}\right)\) |