Properties

 Label 1.1.1t1.a.a Dimension $1$ Group Trivial Conductor $1$ Root number $1$ Indicator $1$

Related objects

Basic invariants

 Dimension: $1$ Group: Trivial Conductor: 1 Frobenius-Schur indicator: $1$ Root number: $1$ Artin field: $$\Q$$ Galois orbit size: $1$ Smallest permutation container: Trivial Parity: even Dirichlet character: $$\chi_{1}(1,\cdot)$$ Projective image: $C_1$ Projective field: $$\Q$$

Defining polynomial

 $f(x)$ $=$ $$x$$  .

The roots of $f$ are computed in $\Q_{ 2 }$ to precision 5.

Roots:
 $r_{ 1 }$ $=$ $$0 +O(2^{5})$$

Generators of the action on the roots $r_{ 1 }$

 Cycle notation

Character values on conjugacy classes

 Size Order Action on $r_{ 1 }$ Character value $1$ $1$ $()$ $1$

The blue line marks the conjugacy class containing complex conjugation.