383.2796281 1162.514258 -1.13687E-11 if C1 >0 then sum of temps is too large
221.4224502 129.4857423 129.4857423
-6.82121E-13 if C3 >0 then cold temp is too high or temp diff is too low
1.29712E-22 summed, squared error terms
NOTES:
A1 = T_hot
A2 = T_cold
B1 = E_hot = 5.38685570E−8 * (A1^4)
B2 = E_cold = 5.38685570E−8 * (A2^4)
C1 = B1 + B2 - 1292 (the first error term)
C2 = E_cold = 0.8 * (A1 - A2)
C3 = B2 - C2 (the second error term)