Basic properties
Modulus: | \(4011\) | |
Conductor: | \(4011\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(190\) | 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
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Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4011.by
\(\chi_{4011}(20,\cdot)\) \(\chi_{4011}(104,\cdot)\) \(\chi_{4011}(209,\cdot)\) \(\chi_{4011}(251,\cdot)\) \(\chi_{4011}(272,\cdot)\) \(\chi_{4011}(293,\cdot)\) \(\chi_{4011}(335,\cdot)\) \(\chi_{4011}(398,\cdot)\) \(\chi_{4011}(461,\cdot)\) \(\chi_{4011}(482,\cdot)\) \(\chi_{4011}(545,\cdot)\) \(\chi_{4011}(650,\cdot)\) \(\chi_{4011}(671,\cdot)\) \(\chi_{4011}(776,\cdot)\) \(\chi_{4011}(818,\cdot)\) \(\chi_{4011}(839,\cdot)\) \(\chi_{4011}(860,\cdot)\) \(\chi_{4011}(881,\cdot)\) \(\chi_{4011}(902,\cdot)\) \(\chi_{4011}(965,\cdot)\) \(\chi_{4011}(1070,\cdot)\) \(\chi_{4011}(1154,\cdot)\) \(\chi_{4011}(1196,\cdot)\) \(\chi_{4011}(1238,\cdot)\) \(\chi_{4011}(1280,\cdot)\) \(\chi_{4011}(1364,\cdot)\) \(\chi_{4011}(1385,\cdot)\) \(\chi_{4011}(1427,\cdot)\) \(\chi_{4011}(1532,\cdot)\) \(\chi_{4011}(1574,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((2675,2866,2311)\) → \((-1,-1,e\left(\frac{94}{95}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 4011 }(482, a) \) | \(1\) | \(1\) | \(e\left(\frac{7}{190}\right)\) | \(e\left(\frac{7}{95}\right)\) | \(e\left(\frac{9}{19}\right)\) | \(e\left(\frac{21}{190}\right)\) | \(e\left(\frac{97}{190}\right)\) | \(e\left(\frac{23}{38}\right)\) | \(e\left(\frac{61}{190}\right)\) | \(e\left(\frac{14}{95}\right)\) | \(e\left(\frac{92}{95}\right)\) | \(e\left(\frac{93}{190}\right)\) |