minimalBetti sometimes doesn't get cached by Complexes

S = ZZ/101[s_0..s_11]
I = ideal{s_8*s_9-s_7*s_10+42*s_9*s_10-42*s_8*s_11, s_6*s_9+42*s_7*s_10-40*s_9*s_10-42*s_6*s_11+40*s_8*s_11,
      s_5*s_9-40*s_7*s_10-28*s_9*s_10-42*s_5*s_11+40*s_6*s_11+28*s_8*s_11, s_4*s_9-28*s_7*s_10+42*s_9*s_10-42*s_4*s_11+40*s_5*s_11+28*s_6*s_11-42*s_8*s_11,
      s_3*s_9+42*s_7*s_10+48*s_9*s_10-42*s_3*s_11+40*s_4*s_11+28*s_5*s_11-42*s_6*s_11-48*s_8*s_11,
      s_2*s_9+48*s_7*s_10+13*s_9*s_10-42*s_2*s_11+40*s_3*s_11+28*s_4*s_11-42*s_5*s_11-48*s_6*s_11-13*s_8*s_11,
      s_1*s_9+13*s_7*s_10+27*s_9*s_10-42*s_1*s_11+40*s_2*s_11+28*s_3*s_11-42*s_4*s_11-48*s_5*s_11-13*s_6*s_11-27*s_8*s_11,
      s_0*s_9+27*s_7*s_10-13*s_9*s_10-42*s_0*s_11+40*s_1*s_11+28*s_2*s_11-42*s_3*s_11-48*s_4*s_11-13*s_5*s_11-27*s_6*s_11+13*s_8*s_11, s_8^2-s_6*s_10, s_7*s_8+7*s_9*s_10-7*s_8*s_11, s_6*s_8-s_5*s_10,
      s_5*s_8-s_4*s_10, s_4*s_8-s_3*s_10, s_3*s_8-s_2*s_10, s_2*s_8-s_1*s_10, s_1*s_8-s_0*s_10, s_7^2-42*s_7*s_9+7*s_9^2-7*s_7*s_11, s_6*s_7+7*s_7*s_10+9*s_9*s_10-7*s_6*s_11-9*s_8*s_11,
      s_5*s_7+9*s_7*s_10-23*s_9*s_10-7*s_5*s_11-9*s_6*s_11+23*s_8*s_11, s_4*s_7-23*s_7*s_10-6*s_9*s_10-7*s_4*s_11-9*s_5*s_11+23*s_6*s_11+6*s_8*s_11,
      s_3*s_7-6*s_7*s_10+9*s_9*s_10-7*s_3*s_11-9*s_4*s_11+23*s_5*s_11+6*s_6*s_11-9*s_8*s_11, s_2*s_7+9*s_7*s_10-33*s_9*s_10-7*s_2*s_11-9*s_3*s_11+23*s_4*s_11+6*s_5*s_11-9*s_6*s_11+33*s_8*s_11,
      s_1*s_7-33*s_7*s_10+10*s_9*s_10-7*s_1*s_11-9*s_2*s_11+23*s_3*s_11+6*s_4*s_11-9*s_5*s_11+33*s_6*s_11-10*s_8*s_11,
      s_0*s_7+10*s_7*s_10+13*s_9*s_10-7*s_0*s_11-9*s_1*s_11+23*s_2*s_11+6*s_3*s_11-9*s_4*s_11+33*s_5*s_11-10*s_6*s_11-13*s_8*s_11, s_6^2-s_4*s_10, s_5*s_6-s_3*s_10, s_4*s_6-s_2*s_10, s_3*s_6-s_1*s_10,
      s_2*s_6-s_0*s_10, s_1*s_6-s_0*s_8, s_5^2-s_2*s_10, s_4*s_5-s_1*s_10, s_3*s_5-s_0*s_10, s_2*s_5-s_0*s_8, s_1*s_5-s_0*s_6, s_4^2-s_0*s_10, s_3*s_4-s_0*s_8, s_2*s_4-s_0*s_6, s_1*s_4-s_0*s_5,
      s_0*s_4-49*s_0*s_5-37*s_0*s_6+33*s_0*s_8-31*s_7*s_9+50*s_9^2-20*s_0*s_10+46*s_1*s_10+30*s_2*s_10+s_3*s_10-36*s_4*s_10-3*s_5*s_10+46*s_6*s_10-45*s_7*s_10+43*s_8*s_10-24*s_9*s_10+13*s_10^2-24*s_4*
      s_11+17*s_5*s_11-4*s_6*s_11+32*s_7*s_11+50*s_8*s_11+49*s_9*s_11+19*s_10*s_11+38*s_11^2, s_3^2-s_0*s_6, s_2*s_3-s_0*s_5,
      s_1*s_3-49*s_0*s_5-37*s_0*s_6+33*s_0*s_8-31*s_7*s_9+50*s_9^2-20*s_0*s_10+46*s_1*s_10+30*s_2*s_10+s_3*s_10-36*s_4*s_10-3*s_5*s_10+46*s_6*s_10-45*s_7*s_10+43*s_8*s_10-24*s_9*s_10+13*s_10^2-24*s_4*
      s_11+17*s_5*s_11-4*s_6*s_11+32*s_7*s_11+50*s_8*s_11+49*s_9*s_11+19*s_10*s_11+38*s_11^2,
      s_0*s_3-14*s_0*s_5+38*s_0*s_6-19*s_0*s_8+46*s_7*s_9-39*s_9^2-25*s_0*s_10-39*s_1*s_10-44*s_2*s_10+13*s_3*s_10-50*s_4*s_10-26*s_6*s_10-7*s_7*s_10-s_8*s_10+46*s_9*s_10+31*s_10^2-24*s_3*s_11-48*s_4*
      s_11+21*s_5*s_11-45*s_6*s_11-35*s_7*s_11+35*s_8*s_11+15*s_9*s_11+22*s_10*s_11+44*s_11^2,
      s_2^2-49*s_0*s_5-37*s_0*s_6+33*s_0*s_8-31*s_7*s_9+50*s_9^2-20*s_0*s_10+46*s_1*s_10+30*s_2*s_10+s_3*s_10-36*s_4*s_10-3*s_5*s_10+46*s_6*s_10-45*s_7*s_10+43*s_8*s_10-24*s_9*s_10+13*s_10^2-24*s_4*s_
      11+17*s_5*s_11-4*s_6*s_11+32*s_7*s_11+50*s_8*s_11+49*s_9*s_11+19*s_10*s_11+38*s_11^2,
      s_1*s_2-14*s_0*s_5+38*s_0*s_6-19*s_0*s_8+46*s_7*s_9-39*s_9^2-25*s_0*s_10-39*s_1*s_10-44*s_2*s_10+13*s_3*s_10-50*s_4*s_10-26*s_6*s_10-7*s_7*s_10-s_8*s_10+46*s_9*s_10+31*s_10^2-24*s_3*s_11-48*s_4*
      s_11+21*s_5*s_11-45*s_6*s_11-35*s_7*s_11+35*s_8*s_11+15*s_9*s_11+22*s_10*s_11+44*s_11^2,
      s_0*s_2-42*s_0*s_5-32*s_0*s_6+33*s_0*s_8+32*s_7*s_9-4*s_9^2-16*s_0*s_10-6*s_1*s_10+29*s_2*s_10-36*s_3*s_10+s_4*s_10+33*s_5*s_10+37*s_6*s_10+22*s_7*s_10+27*s_8*s_10+3*s_9*s_10-20*s_10^2-24*s_2*s_
      11-48*s_3*s_11-12*s_4*s_11-9*s_5*s_11-21*s_6*s_11-45*s_7*s_11-21*s_8*s_11+23*s_9*s_11-37*s_10*s_11+27*s_11^2,
      s_1^2-42*s_0*s_5-32*s_0*s_6+33*s_0*s_8+32*s_7*s_9-4*s_9^2-16*s_0*s_10-6*s_1*s_10+29*s_2*s_10-36*s_3*s_10+s_4*s_10+33*s_5*s_10+37*s_6*s_10+22*s_7*s_10+27*s_8*s_10+3*s_9*s_10-20*s_10^2-24*s_2*s_11
      -48*s_3*s_11-12*s_4*s_11-9*s_5*s_11-21*s_6*s_11-45*s_7*s_11-21*s_8*s_11+23*s_9*s_11-37*s_10*s_11+27*s_11^2,
      s_0*s_1+31*s_0*s_5-6*s_0*s_6-44*s_0*s_8+7*s_7*s_9+24*s_9^2-38*s_0*s_10+42*s_1*s_10+12*s_2*s_10+43*s_3*s_10+36*s_4*s_10+12*s_5*s_10+40*s_6*s_10+32*s_7*s_10-32*s_8*s_10+25*s_9*s_10+41*s_10^2-24*s_
      1*s_11-48*s_2*s_11-12*s_3*s_11-7*s_4*s_11-14*s_5*s_11+13*s_6*s_11+9*s_7*s_11+20*s_8*s_11-36*s_9*s_11-10*s_10*s_11-20*s_11^2,
      s_0^2-2*s_0*s_5-8*s_0*s_6+50*s_0*s_8-25*s_7*s_9+19*s_9^2-45*s_0*s_10+22*s_2*s_10+5*s_3*s_10+17*s_4*s_10+32*s_5*s_10-44*s_6*s_10+6*s_7*s_10+21*s_8*s_10-25*s_9*s_10+s_10^2-24*s_0*s_11-48*s_1*s_11-
      12*s_2*s_11-7*s_3*s_11+23*s_4*s_11-9*s_5*s_11+43*s_6*s_11+29*s_7*s_11+17*s_8*s_11-24*s_9*s_11+17*s_10*s_11+34*s_11^2,
      s_9^3-22*s_7*s_9*s_10-6*s_9^2*s_10-31*s_7*s_10^2-3*s_9*s_10^2+2*s_0*s_5*s_11+18*s_0*s_6*s_11-39*s_0*s_8*s_11+19*s_7*s_9*s_11+50*s_9^2*s_11+36*s_0*s_10*s_11-32*s_1*s_10*s_11+12*s_2*s_10*s_11-9*s_
      3*s_10*s_11+34*s_4*s_10*s_11-25*s_5*s_10*s_11-31*s_6*s_10*s_11+10*s_7*s_10*s_11-41*s_8*s_10*s_11-3*s_9*s_10*s_11-47*s_10^2*s_11-48*s_5*s_11^2-23*s_6*s_11^2-30*s_7*s_11^2+48*s_8*s_11^2-39*s_9*s_
      11^2+9*s_10*s_11^2+18*s_11^3, s_7*s_9^2-21*s_7*s_9*s_10-48*s_9^2*s_10+8*s_7*s_10^2+15*s_9*s_10^2-2*s_0*s_5*s_11-17*s_0*s_6*s_11+49*s_0*s_8*s_11+43*s_7*s_9*s_11+23*s_9^2*s_11+5*s_0*s_10*s_11-10*s
      _1*s_10*s_11+31*s_2*s_10*s_11-43*s_3*s_10*s_11-40*s_4*s_10*s_11+36*s_5*s_10*s_11-21*s_6*s_10*s_11+24*s_8*s_10*s_11-39*s_9*s_10*s_11+20*s_10^2*s_11+48*s_5*s_11^2-s_6*s_11^2+8*s_7*s_11^2-33*s_8*s_
      11^2-s_9*s_11^2+37*s_10*s_11^2-27*s_11^3};

i3 : elapsedTime minimalBetti I;
 -- 3.35017s elapsed

i4 : elapsedTime minimalBetti I;
 -- 3.23379s elapsed

Previously:

i4 : elapsedTime minimalBetti I;
 -- 3.33406s elapsed

i5 : elapsedTime minimalBetti I;
 -- .000518093s elapsed

Also, isn't minimalBetti supposed to give an error if the input is over QQ?

Start by reproducing the two consecutive minimalBetti I calls in Macaulay2 using the provided ring and ideal, then compare the elapsed times. Investigate minimalBetti's caching behavior and its response to input over QQ; done means the caching result is consistent and the QQ behavior matches the documented expectation.