Basic properties
Modulus: | \(6480\) | |
Conductor: | \(6480\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(108\) | 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 6480.ga
\(\chi_{6480}(173,\cdot)\) \(\chi_{6480}(437,\cdot)\) \(\chi_{6480}(653,\cdot)\) \(\chi_{6480}(677,\cdot)\) \(\chi_{6480}(893,\cdot)\) \(\chi_{6480}(1157,\cdot)\) \(\chi_{6480}(1373,\cdot)\) \(\chi_{6480}(1397,\cdot)\) \(\chi_{6480}(1613,\cdot)\) \(\chi_{6480}(1877,\cdot)\) \(\chi_{6480}(2093,\cdot)\) \(\chi_{6480}(2117,\cdot)\) \(\chi_{6480}(2333,\cdot)\) \(\chi_{6480}(2597,\cdot)\) \(\chi_{6480}(2813,\cdot)\) \(\chi_{6480}(2837,\cdot)\) \(\chi_{6480}(3053,\cdot)\) \(\chi_{6480}(3317,\cdot)\) \(\chi_{6480}(3533,\cdot)\) \(\chi_{6480}(3557,\cdot)\) \(\chi_{6480}(3773,\cdot)\) \(\chi_{6480}(4037,\cdot)\) \(\chi_{6480}(4253,\cdot)\) \(\chi_{6480}(4277,\cdot)\) \(\chi_{6480}(4493,\cdot)\) \(\chi_{6480}(4757,\cdot)\) \(\chi_{6480}(4973,\cdot)\) \(\chi_{6480}(4997,\cdot)\) \(\chi_{6480}(5213,\cdot)\) \(\chi_{6480}(5477,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{108})$ |
Fixed field: | Number field defined by a degree 108 polynomial (not computed) |
Values on generators
\((2431,1621,6401,1297)\) → \((1,i,e\left(\frac{43}{54}\right),i)\)
First values
\(a\) | \(-1\) | \(1\) | \(7\) | \(11\) | \(13\) | \(17\) | \(19\) | \(23\) | \(29\) | \(31\) | \(37\) | \(41\) |
\( \chi_{ 6480 }(3557, a) \) | \(1\) | \(1\) | \(e\left(\frac{53}{108}\right)\) | \(e\left(\frac{65}{108}\right)\) | \(e\left(\frac{47}{54}\right)\) | \(e\left(\frac{19}{36}\right)\) | \(e\left(\frac{17}{36}\right)\) | \(e\left(\frac{1}{108}\right)\) | \(e\left(\frac{77}{108}\right)\) | \(e\left(\frac{25}{27}\right)\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{19}{27}\right)\) |