Basic properties
Modulus: | \(6027\) | |
Conductor: | \(6027\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(210\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
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 6027.ej
\(\chi_{6027}(59,\cdot)\) \(\chi_{6027}(467,\cdot)\) \(\chi_{6027}(488,\cdot)\) \(\chi_{6027}(551,\cdot)\) \(\chi_{6027}(584,\cdot)\) \(\chi_{6027}(836,\cdot)\) \(\chi_{6027}(857,\cdot)\) \(\chi_{6027}(920,\cdot)\) \(\chi_{6027}(1076,\cdot)\) \(\chi_{6027}(1328,\cdot)\) \(\chi_{6027}(1349,\cdot)\) \(\chi_{6027}(1412,\cdot)\) \(\chi_{6027}(1445,\cdot)\) \(\chi_{6027}(1718,\cdot)\) \(\chi_{6027}(1781,\cdot)\) \(\chi_{6027}(1937,\cdot)\) \(\chi_{6027}(2189,\cdot)\) \(\chi_{6027}(2210,\cdot)\) \(\chi_{6027}(2306,\cdot)\) \(\chi_{6027}(2558,\cdot)\) \(\chi_{6027}(2642,\cdot)\) \(\chi_{6027}(2798,\cdot)\) \(\chi_{6027}(3050,\cdot)\) \(\chi_{6027}(3071,\cdot)\) \(\chi_{6027}(3134,\cdot)\) \(\chi_{6027}(3419,\cdot)\) \(\chi_{6027}(3440,\cdot)\) \(\chi_{6027}(3503,\cdot)\) \(\chi_{6027}(3659,\cdot)\) \(\chi_{6027}(3911,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{105})$ |
Fixed field: | Number field defined by a degree 210 polynomial (not computed) |
Values on generators
\((4019,493,2794)\) → \((-1,e\left(\frac{29}{42}\right),e\left(\frac{4}{5}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 6027 }(2210, a) \) | \(1\) | \(1\) | \(e\left(\frac{53}{210}\right)\) | \(e\left(\frac{53}{105}\right)\) | \(e\left(\frac{13}{105}\right)\) | \(e\left(\frac{53}{70}\right)\) | \(e\left(\frac{79}{210}\right)\) | \(e\left(\frac{109}{210}\right)\) | \(e\left(\frac{41}{70}\right)\) | \(e\left(\frac{1}{105}\right)\) | \(e\left(\frac{17}{105}\right)\) | \(e\left(\frac{11}{30}\right)\) |