Basic properties
Modulus: | \(4011\) | |
Conductor: | \(1337\) | sage: chi.conductor()
pari: znconreyconductor(g,chi)
|
Order: | \(190\) | sage: chi.multiplicative_order()
pari: charorder(g,chi)
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Real: | no | |
Primitive: | no, induced from \(\chi_{1337}(104,\cdot)\) | sage: chi.is_primitive()
pari: #znconreyconductor(g,chi)==1
|
Minimal: | yes | |
Parity: | odd | sage: chi.is_odd()
pari: zncharisodd(g,chi)
|
Galois orbit 4011.cc
\(\chi_{4011}(13,\cdot)\) \(\chi_{4011}(34,\cdot)\) \(\chi_{4011}(97,\cdot)\) \(\chi_{4011}(118,\cdot)\) \(\chi_{4011}(349,\cdot)\) \(\chi_{4011}(391,\cdot)\) \(\chi_{4011}(433,\cdot)\) \(\chi_{4011}(454,\cdot)\) \(\chi_{4011}(517,\cdot)\) \(\chi_{4011}(538,\cdot)\) \(\chi_{4011}(706,\cdot)\) \(\chi_{4011}(790,\cdot)\) \(\chi_{4011}(832,\cdot)\) \(\chi_{4011}(958,\cdot)\) \(\chi_{4011}(979,\cdot)\) \(\chi_{4011}(1000,\cdot)\) \(\chi_{4011}(1063,\cdot)\) \(\chi_{4011}(1084,\cdot)\) \(\chi_{4011}(1189,\cdot)\) \(\chi_{4011}(1210,\cdot)\) \(\chi_{4011}(1231,\cdot)\) \(\chi_{4011}(1315,\cdot)\) \(\chi_{4011}(1357,\cdot)\) \(\chi_{4011}(1441,\cdot)\) \(\chi_{4011}(1546,\cdot)\) \(\chi_{4011}(1588,\cdot)\) \(\chi_{4011}(1609,\cdot)\) \(\chi_{4011}(1630,\cdot)\) \(\chi_{4011}(1672,\cdot)\) \(\chi_{4011}(1735,\cdot)\) ...
Related number fields
Field of values: | $\Q(\zeta_{95})$ |
Fixed field: | Number field defined by a degree 190 polynomial (not computed) |
Values on generators
\((2675,2866,2311)\) → \((1,-1,e\left(\frac{27}{95}\right))\)
First values
\(a\) | \(-1\) | \(1\) | \(2\) | \(4\) | \(5\) | \(8\) | \(10\) | \(11\) | \(13\) | \(16\) | \(17\) | \(19\) |
\( \chi_{ 4011 }(1441, a) \) | \(-1\) | \(1\) | \(e\left(\frac{48}{95}\right)\) | \(e\left(\frac{1}{95}\right)\) | \(e\left(\frac{27}{38}\right)\) | \(e\left(\frac{49}{95}\right)\) | \(e\left(\frac{41}{190}\right)\) | \(e\left(\frac{3}{19}\right)\) | \(e\left(\frac{63}{190}\right)\) | \(e\left(\frac{2}{95}\right)\) | \(e\left(\frac{67}{190}\right)\) | \(e\left(\frac{149}{190}\right)\) |