Basic properties
| Modulus: | \(6015\) | |
| Conductor: | \(6015\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
| Order: | \(100\) | 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 6015.dk
\(\chi_{6015}(77,\cdot)\) \(\chi_{6015}(173,\cdot)\) \(\chi_{6015}(452,\cdot)\) \(\chi_{6015}(722,\cdot)\) \(\chi_{6015}(788,\cdot)\) \(\chi_{6015}(827,\cdot)\) \(\chi_{6015}(998,\cdot)\) \(\chi_{6015}(1058,\cdot)\) \(\chi_{6015}(1133,\cdot)\) \(\chi_{6015}(1187,\cdot)\) \(\chi_{6015}(1208,\cdot)\) \(\chi_{6015}(1328,\cdot)\) \(\chi_{6015}(1427,\cdot)\) \(\chi_{6015}(1667,\cdot)\) \(\chi_{6015}(2093,\cdot)\) \(\chi_{6015}(2183,\cdot)\) \(\chi_{6015}(2483,\cdot)\) \(\chi_{6015}(2858,\cdot)\) \(\chi_{6015}(3002,\cdot)\) \(\chi_{6015}(3062,\cdot)\) \(\chi_{6015}(3122,\cdot)\) \(\chi_{6015}(3128,\cdot)\) \(\chi_{6015}(3167,\cdot)\) \(\chi_{6015}(3233,\cdot)\) \(\chi_{6015}(3593,\cdot)\) \(\chi_{6015}(3782,\cdot)\) \(\chi_{6015}(3833,\cdot)\) \(\chi_{6015}(4073,\cdot)\) \(\chi_{6015}(4397,\cdot)\) \(\chi_{6015}(4607,\cdot)\) ...
Related number fields
| Field of values: | $\Q(\zeta_{100})$ |
| Fixed field: | Number field defined by a degree 100 polynomial |
Values on generators
\((2006,2407,3211)\) → \((-1,-i,e\left(\frac{12}{25}\right))\)
First values
| \(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(7\) | \(8\) | \(11\) | \(13\) | \(14\) | \(16\) | \(17\) | \(19\) |
| \( \chi_{ 6015 }(3833, a) \) | \(1\) | \(1\) | \(e\left(\frac{73}{100}\right)\) | \(e\left(\frac{23}{50}\right)\) | \(e\left(\frac{51}{100}\right)\) | \(e\left(\frac{19}{100}\right)\) | \(e\left(\frac{31}{50}\right)\) | \(e\left(\frac{37}{100}\right)\) | \(e\left(\frac{6}{25}\right)\) | \(e\left(\frac{23}{25}\right)\) | \(e\left(\frac{9}{100}\right)\) | \(e\left(\frac{37}{50}\right)\) |