A minimal set of generators for the cohomology is:
  • w1(r28) of degree 1
  • w1(r7) of degree 1
  • w1(r21) of degree 1
  • w1(r19) of degree 1
  • w1(r11) of degree 1
The Steenrod operations are as follows:
    Here is a minimal system of equations:
      Stiefel-Whitney classes:
      • w1(r1) = w1(r7) + w1(r21) + w1(r19)
      • w1(r2) = w1(r28) + w1(r21) + w1(r11)
      • w1(r3) = w1(r28) + w1(r7) + w1(r19) + w1(r11)
      • w1(r4) = w1(r28) + w1(r19) + w1(r11)
      • w1(r5) = w1(r28) + w1(r7) + w1(r21) + w1(r11)
      • w1(r6) = w1(r21) + w1(r19)
      • w1(r7) = w1(r7)
      • w1(r8) = w1(r28) + w1(r7) + w1(r19)
      • w1(r9) = w1(r28) + w1(r21)
      • w1(r10) = w1(r7) + w1(r21) + w1(r19) + w1(r11)
      • w1(r11) = w1(r11)
      • w1(r12) = w1(r7) + w1(r11)
      • w1(r13) = w1(r21) + w1(r19) + w1(r11)
      • w1(r14) = w1(r28) + w1(r7) + w1(r21)
      • w1(r15) = w1(r28) + w1(r19)
      • w1(r16) = w1(r28) + w1(r7) + w1(r11)
      • w1(r17) = w1(r28) + w1(r21) + w1(r19) + w1(r11)
      • w1(r18) = w1(r7) + w1(r21)
      • w1(r19) = w1(r19)
      • w1(r20) = w1(r7) + w1(r19)
      • w1(r21) = w1(r21)
      • w1(r22) = w1(r28) + w1(r7) + w1(r21) + w1(r19) + w1(r11)
      • w1(r23) = w1(r28) + w1(r11)
      • w1(r24) = w1(r19) + w1(r11)
      • w1(r25) = w1(r7) + w1(r21) + w1(r11)
      • w1(r26) = w1(r28) + w1(r21) + w1(r19)
      • w1(r27) = w1(r28) + w1(r7)
      • w1(r28) = w1(r28)
      • w1(r29) = w1(r28) + w1(r7) + w1(r21) + w1(r19)
      • w1(r30) = w1(r21) + w1(r11)
      • w1(r31) = w1(r7) + w1(r19) + w1(r11)
      Chern classes:
      • c1(r1) = w1(r7)2 + w1(r21)2 + w1(r19)2
      • c1(r2) = w1(r28)2 + w1(r21)2 + w1(r11)2
      • c1(r3) = w1(r28)2 + w1(r7)2 + w1(r19)2 + w1(r11)2
      • c1(r4) = w1(r28)2 + w1(r19)2 + w1(r11)2
      • c1(r5) = w1(r28)2 + w1(r7)2 + w1(r21)2 + w1(r11)2
      • c1(r6) = w1(r21)2 + w1(r19)2
      • c1(r7) = w1(r7)2
      • c1(r8) = w1(r28)2 + w1(r7)2 + w1(r19)2
      • c1(r9) = w1(r28)2 + w1(r21)2
      • c1(r10) = w1(r7)2 + w1(r21)2 + w1(r19)2 + w1(r11)2
      • c1(r11) = w1(r11)2
      • c1(r12) = w1(r7)2 + w1(r11)2
      • c1(r13) = w1(r21)2 + w1(r19)2 + w1(r11)2
      • c1(r14) = w1(r28)2 + w1(r7)2 + w1(r21)2
      • c1(r15) = w1(r28)2 + w1(r19)2
      • c1(r16) = w1(r28)2 + w1(r7)2 + w1(r11)2
      • c1(r17) = w1(r28)2 + w1(r21)2 + w1(r19)2 + w1(r11)2
      • c1(r18) = w1(r7)2 + w1(r21)2
      • c1(r19) = w1(r19)2
      • c1(r20) = w1(r7)2 + w1(r19)2
      • c1(r21) = w1(r21)2
      • c1(r22) = w1(r28)2 + w1(r7)2 + w1(r21)2 + w1(r19)2 + w1(r11)2
      • c1(r23) = w1(r28)2 + w1(r11)2
      • c1(r24) = w1(r19)2 + w1(r11)2
      • c1(r25) = w1(r7)2 + w1(r21)2 + w1(r11)2
      • c1(r26) = w1(r28)2 + w1(r21)2 + w1(r19)2
      • c1(r27) = w1(r28)2 + w1(r7)2
      • c1(r28) = w1(r28)2
      • c1(r29) = w1(r28)2 + w1(r7)2 + w1(r21)2 + w1(r19)2
      • c1(r30) = w1(r21)2 + w1(r11)2
      • c1(r31) = w1(r7)2 + w1(r19)2 + w1(r11)2
      The results above have been produced during the second run in April, 2008.