Basic properties
Modulus: | \(935\) | |
Conductor: | \(935\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(80\) | 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 935.cn
\(\chi_{935}(37,\cdot)\) \(\chi_{935}(58,\cdot)\) \(\chi_{935}(82,\cdot)\) \(\chi_{935}(97,\cdot)\) \(\chi_{935}(108,\cdot)\) \(\chi_{935}(113,\cdot)\) \(\chi_{935}(163,\cdot)\) \(\chi_{935}(192,\cdot)\) \(\chi_{935}(207,\cdot)\) \(\chi_{935}(267,\cdot)\) \(\chi_{935}(278,\cdot)\) \(\chi_{935}(313,\cdot)\) \(\chi_{935}(333,\cdot)\) \(\chi_{935}(368,\cdot)\) \(\chi_{935}(377,\cdot)\) \(\chi_{935}(422,\cdot)\) \(\chi_{935}(522,\cdot)\) \(\chi_{935}(532,\cdot)\) \(\chi_{935}(533,\cdot)\) \(\chi_{935}(588,\cdot)\) \(\chi_{935}(592,\cdot)\) \(\chi_{935}(632,\cdot)\) \(\chi_{935}(653,\cdot)\) \(\chi_{935}(702,\cdot)\) \(\chi_{935}(708,\cdot)\) \(\chi_{935}(762,\cdot)\) \(\chi_{935}(823,\cdot)\) \(\chi_{935}(862,\cdot)\) \(\chi_{935}(872,\cdot)\) \(\chi_{935}(873,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{80})$ |
Fixed field: | Number field defined by a degree 80 polynomial |
Values on generators
\((562,596,496)\) → \((i,e\left(\frac{4}{5}\right),e\left(\frac{1}{16}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(7\) | \(8\) | \(9\) | \(12\) | \(13\) | \(14\) |
\( \chi_{ 935 }(377, a) \) | \(1\) | \(1\) | \(e\left(\frac{37}{40}\right)\) | \(e\left(\frac{17}{80}\right)\) | \(e\left(\frac{17}{20}\right)\) | \(e\left(\frac{11}{80}\right)\) | \(e\left(\frac{43}{80}\right)\) | \(e\left(\frac{31}{40}\right)\) | \(e\left(\frac{17}{40}\right)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{37}{80}\right)\) |