K = {*12341-12-13-14-1}

Symbolics

Substitution:
1->1424
2->142424
3->14333334
4->1433334
Abelianisation:
1 1 1 1
1 2 0 0
0 0 5 4
2 3 2 2

Characteristic polynomial:

(z4 - 10z3 + 22z2 - 10z + 1)

Eigenvalues:

7.0951 0 0 0
0 2.3358 0 0
0 0 0.42812 0
0 0 0 0.14094

Realisations:

Indices:Realisations:
3x2:realisation