Basic properties
Modulus: | \(4011\) | |
Conductor: | \(191\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(95\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
|
Real: | no | |
Primitive: | no, induced from \(\chi_{191}(27,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | even | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4011.bp
\(\chi_{4011}(43,\cdot)\) \(\chi_{4011}(64,\cdot)\) \(\chi_{4011}(85,\cdot)\) \(\chi_{4011}(169,\cdot)\) \(\chi_{4011}(211,\cdot)\) \(\chi_{4011}(295,\cdot)\) \(\chi_{4011}(400,\cdot)\) \(\chi_{4011}(442,\cdot)\) \(\chi_{4011}(463,\cdot)\) \(\chi_{4011}(484,\cdot)\) \(\chi_{4011}(526,\cdot)\) \(\chi_{4011}(589,\cdot)\) \(\chi_{4011}(652,\cdot)\) \(\chi_{4011}(673,\cdot)\) \(\chi_{4011}(736,\cdot)\) \(\chi_{4011}(841,\cdot)\) \(\chi_{4011}(862,\cdot)\) \(\chi_{4011}(967,\cdot)\) \(\chi_{4011}(1009,\cdot)\) \(\chi_{4011}(1030,\cdot)\) \(\chi_{4011}(1051,\cdot)\) \(\chi_{4011}(1072,\cdot)\) \(\chi_{4011}(1093,\cdot)\) \(\chi_{4011}(1156,\cdot)\) \(\chi_{4011}(1261,\cdot)\) \(\chi_{4011}(1345,\cdot)\) \(\chi_{4011}(1387,\cdot)\) \(\chi_{4011}(1429,\cdot)\) \(\chi_{4011}(1471,\cdot)\) \(\chi_{4011}(1555,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 95 polynomial |
Values on generators
\((2675,2866,2311)\) → \((1,1,e\left(\frac{79}{95}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 4011 }(1555, a) \) | \(1\) | \(1\) | \(e\left(\frac{56}{95}\right)\) | \(e\left(\frac{17}{95}\right)\) | \(e\left(\frac{11}{19}\right)\) | \(e\left(\frac{73}{95}\right)\) | \(e\left(\frac{16}{95}\right)\) | \(e\left(\frac{13}{19}\right)\) | \(e\left(\frac{13}{95}\right)\) | \(e\left(\frac{34}{95}\right)\) | \(e\left(\frac{47}{95}\right)\) | \(e\left(\frac{79}{95}\right)\) |