Basic properties
Modulus: | \(2665\) | |
Conductor: | \(2665\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(120\) | 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 2665.hm
\(\chi_{2665}(22,\cdot)\) \(\chi_{2665}(48,\cdot)\) \(\chi_{2665}(198,\cdot)\) \(\chi_{2665}(302,\cdot)\) \(\chi_{2665}(347,\cdot)\) \(\chi_{2665}(432,\cdot)\) \(\chi_{2665}(438,\cdot)\) \(\chi_{2665}(458,\cdot)\) \(\chi_{2665}(477,\cdot)\) \(\chi_{2665}(503,\cdot)\) \(\chi_{2665}(757,\cdot)\) \(\chi_{2665}(848,\cdot)\) \(\chi_{2665}(867,\cdot)\) \(\chi_{2665}(887,\cdot)\) \(\chi_{2665}(913,\cdot)\) \(\chi_{2665}(1218,\cdot)\) \(\chi_{2665}(1277,\cdot)\) \(\chi_{2665}(1283,\cdot)\) \(\chi_{2665}(1452,\cdot)\) \(\chi_{2665}(1582,\cdot)\) \(\chi_{2665}(1628,\cdot)\) \(\chi_{2665}(1693,\cdot)\) \(\chi_{2665}(1862,\cdot)\) \(\chi_{2665}(1992,\cdot)\) \(\chi_{2665}(1998,\cdot)\) \(\chi_{2665}(2063,\cdot)\) \(\chi_{2665}(2167,\cdot)\) \(\chi_{2665}(2408,\cdot)\) \(\chi_{2665}(2453,\cdot)\) \(\chi_{2665}(2473,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{120})$ |
Fixed field: | Number field defined by a degree 120 polynomial (not computed) |
Values on generators
\((1067,821,1236)\) → \((-i,e\left(\frac{2}{3}\right),e\left(\frac{7}{40}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(11\) | \(12\) | \(14\) |
\( \chi_{ 2665 }(1218, a) \) | \(1\) | \(1\) | \(e\left(\frac{29}{30}\right)\) | \(e\left(\frac{13}{24}\right)\) | \(e\left(\frac{14}{15}\right)\) | \(e\left(\frac{61}{120}\right)\) | \(e\left(\frac{109}{120}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{23}{120}\right)\) | \(e\left(\frac{19}{40}\right)\) | \(e\left(\frac{7}{8}\right)\) |