// Magma code for working with p-adic field 2.1.16.48h1.1218.


// Define the p-adic field: 
Prec := 100;  // Default precision of 100
Q2 := pAdicField(2, Prec);
K := LocalField(Q2, Polynomial(Q2, [2, 8, 4, 8, 2, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 1]));

// Defining polynomial: 
DefiningPolynomial(K);

// Base field Qp: 
Q2;

// Degree over Qp: 
Degree(K);

// Ramification index: 
RamificationIndex(K);

// Residue field degree (Inertia degree): 
InertiaDegree(K);

// Discriminant exponent: 
Valuation(Discriminant(K));