def Solution(arr):
    for i in range(len(arr) - 2):
        (a,b,c) = (arr[i], arr[i+1], arr[i+2])
        if not 4*a**2*b**2 > (a**2 + b**2 + c**2)**2: 
            # add 1 to final index (as qn states range from 1<=i<=n)
            return str(i+1) + ' ' + str(i+2) + ' ' + str(i+3)

    return -1
                    

t = int(input())

for _ in range(t):
    __ = input()
    arr = list(map(int, input().split(' ')))
    
    print(Solution(arr))