To help people with data entry for testing:
M = [-3.6035e+50-1.0331e+35i 3.2541e+21+6.1677e+19i -5.1763e+20-2.5318e+20i -2.3565e+19 0 7.2761e+18;0.12558-861490000000000i -2.5881-0.024521i 0.24839-1.0585i -0.99606 0 0.86678;-2.1361e+49+4.8846e+64i -1.2606e+21-3.7042e+19i -6.8697e+19+1.0156e+20i 0 0 7.1063e+48+2.0718e+33i;-1.513e+17+1.038e+33i -215730-6339i -7837.5+11586i 0 0.0050625-77900000000000i -1.5087e+17-9.9402e-15i;2.1361e+59-4.8846e+74i 1.2606e+31+3.7042e+29i 6.8697e+29-1.0156e+30i 0 0.00021977-3.0093e-36i -7.1063e+58-2.0718e+43i]
In in Maple,
M := Matrix(5,6, [[-0.36035e51-0.10331e36*I, 0.32541e22+0.61677e20*I, -0.51763e21-0.25318e21*I, -0.23565e20, 0, 0.72761e19], [.12558-0.8614900000e15*I, -2.5881-0.24521e-1*I, .24839-1.0585*I, -.99606, 0, .86678], [-0.21361e50+0.48846e65*I, -0.12606e22-0.37042e20*I, -0.68697e20+0.10156e21*I, 0, 0, 0.71063e49+0.20718e34*I], [-0.1513e18+0.1038e34*I, -215730-6339*I, -7837.5+11586.*I, 0, 0.50625e-2-0.7790000000e14*I, -0.15087e18-0.99402e-14*I], [0.21361e60-0.48846e75*I, 0.12606e32+0.37042e30*I, 0.68697e30-0.10156e31*I, 0, 0.21977e-3-0.30093e-35*I, -0.71063e59-0.20718e44*I]])