Recent experiments have employed the phase sensitive nature of the Jos
ephson effect to determine the wave-vector dependent phase of the gap
function in high-temperature superconductors. A parallel combination o
f Josephson junctions, commonly referred to as a de SQUID configuratio
n, has been used in many experiments to probe the gap function symmetr
y via transport measurements. Asymmetries in the junction properties h
ave required various extrapolation procedures to extract symmetry info
rmation from measured field-dependent transport measurements. Here we
analyze the finite-temperature properties of this system in the experi
mentally relevant limit of large self-inductance, where the asymmetry
is due to a difference in junction critical currents. We derive a scal
ing relation between systems of different self-inductance, leading to
a new extrapolation procedure to determine the gap function symmetry.