A minimal set of generators for the cohomology is:
  • w1(r12) of degree 1
  • w1(r5) of degree 1
  • w1(r11) of degree 1
  • w1(r10) of degree 1
The Steenrod operations are as follows:
    Here is a minimal system of equations:
      Stiefel-Whitney classes:
      • w1(r1) = w1(r11) + w1(r10)
      • w1(r2) = w1(r12) + w1(r5) + w1(r11)
      • w1(r3) = w1(r12) + w1(r5) + w1(r10)
      • w1(r4) = w1(r5) + w1(r11) + w1(r10)
      • w1(r5) = w1(r5)
      • w1(r6) = w1(r12) + w1(r10)
      • w1(r7) = w1(r12) + w1(r11)
      • w1(r8) = w1(r12) + w1(r5) + w1(r11) + w1(r10)
      • w1(r9) = w1(r12) + w1(r5)
      • w1(r10) = w1(r10)
      • w1(r11) = w1(r11)
      • w1(r12) = w1(r12)
      • w1(r13) = w1(r12) + w1(r11) + w1(r10)
      • w1(r14) = w1(r5) + w1(r11)
      • w1(r15) = w1(r5) + w1(r10)
      		Chern classes:
      • c1(r1) = w1(r11)2 + w1(r10)2
      • c1(r2) = w1(r12)2 + w1(r5)2 + w1(r11)2
      • c1(r3) = w1(r12)2 + w1(r5)2 + w1(r10)2
      • c1(r4) = w1(r5)2 + w1(r11)2 + w1(r10)2
      • c1(r5) = w1(r5)2
      • c1(r6) = w1(r12)2 + w1(r10)2
      • c1(r7) = w1(r12)2 + w1(r11)2
      • c1(r8) = w1(r12)2 + w1(r5)2 + w1(r11)2 + w1(r10)2
      • c1(r9) = w1(r12)2 + w1(r5)2
      • c1(r10) = w1(r10)2
      • c1(r11) = w1(r11)2
      • c1(r12) = w1(r12)2
      • c1(r13) = w1(r12)2 + w1(r11)2 + w1(r10)2
      • c1(r14) = w1(r5)2 + w1(r11)2
      • c1(r15) = w1(r5)2 + w1(r10)2
      The results above have been produced during the second run in April, 2008.