A minimal set of generators for the cohomology is:
  • w1(r36) of degree 1
  • w1(r19) of degree 1
  • w1(r29) of degree 1
  • w1(r23) of degree 1
  • w1(r15) of degree 1
  • w2(r33) of degree 2
The Steenrod operations are as follows:
  • Sq1(w2(r33)) = w1(r36)w2(r33)
Here is a minimal system of equations:
  • (1)          w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r15) + w1(r15)2 = 0
Stiefel-Whitney classes:
  • w1(r1) = w1(r19) + w1(r29) + w1(r15)
  • w1(r2) = w1(r36) + w1(r19) + w1(r29) + w1(r15)
  • w1(r3) = w1(r36)
  • w1(r4) = w1(r19) + w1(r23)
  • w1(r5) = w1(r29) + w1(r23) + w1(r15)
  • w1(r6) = w1(r36) + w1(r29) + w1(r23) + w1(r15)
  • w1(r7) = w1(r36) + w1(r19) + w1(r23)
  • w1(r8) = w1(r36) + w1(r19) + w1(r23) + w1(r15)
  • w1(r9) = w1(r36) + w1(r29) + w1(r23)
  • w1(r10) = w1(r29) + w1(r23)
  • w1(r11) = w1(r19) + w1(r23) + w1(r15)
  • w1(r12) = w1(r36) + w1(r15)
  • w1(r13) = w1(r36) + w1(r19) + w1(r29)
  • w1(r14) = w1(r19) + w1(r29)
  • w1(r15) = w1(r15)
  • w1(r16) = w1(r36) + w1(r19)
  • w1(r17) = w1(r36) + w1(r29) + w1(r15)
  • w1(r18) = w1(r29) + w1(r15)
  • w1(r19) = w1(r19)
  • w1(r20) = w1(r36) + w1(r23)
  • w1(r21) = w1(r36) + w1(r19) + w1(r29) + w1(r23) + w1(r15)
  • w1(r22) = w1(r19) + w1(r29) + w1(r23) + w1(r15)
  • w1(r23) = w1(r23)
  • w1(r24) = w1(r23) + w1(r15)
  • w1(r25) = w1(r19) + w1(r29) + w1(r23)
  • w1(r26) = w1(r36) + w1(r19) + w1(r29) + w1(r23)
  • w1(r27) = w1(r36) + w1(r23) + w1(r15)
  • w1(r28) = w1(r19) + w1(r15)
  • w1(r29) = w1(r29)
  • w1(r30) = w1(r36) + w1(r29)
  • w1(r31) = w1(r36) + w1(r19) + w1(r15)
  • w1(r32) = w1(r36)
  • w2(r32) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r23) + w1(r23)2 + w2(r33)
  • w1(r33) = w1(r36)
  • w2(r33) = w2(r33)
  • w1(r34) = w1(r36)
  • w2(r34) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w2(r33)
  • w1(r35) = w1(r36)
  • w2(r35) = w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r23) + w1(r23)2 + w2(r33)
  • w1(r36) = w1(r36)
  • w2(r36) = w1(r36)w1(r23) + w1(r23)2 + w2(r33)
  • w1(r37) = w1(r36)
  • w2(r37) = w1(r36)w1(r19) + w1(r19)2 + w2(r33)
  • w1(r38) = w1(r36)
  • w2(r38) = w1(r36)w1(r29) + w1(r29)2 + w2(r33)
  • w1(r39) = w1(r36)
  • w2(r39) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r23) + w1(r23)2 + w2(r33)
Chern classes:
  • c1(r1) = w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r36)w1(r15)
  • c1(r2) = w1(r36)2 + w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r36)w1(r15)
  • c1(r3) = w1(r36)2
  • c1(r4) = w1(r19)2 + w1(r23)2
  • c1(r5) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r23)2 + w1(r36)w1(r15)
  • c1(r6) = w1(r36)2 + w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r23)2 + w1(r36)w1(r15)
  • c1(r7) = w1(r36)2 + w1(r19)2 + w1(r23)2
  • c1(r8) = w1(r36)2 + w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r29)2 + w1(r23)2 + w1(r36)w1(r15)
  • c1(r9) = w1(r36)2 + w1(r29)2 + w1(r23)2
  • c1(r10) = w1(r29)2 + w1(r23)2
  • c1(r11) = w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r29)2 + w1(r23)2 + w1(r36)w1(r15)
  • c1(r12) = w1(r36)2 + w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r15)
  • c1(r13) = w1(r36)2 + w1(r19)2 + w1(r29)2
  • c1(r14) = w1(r19)2 + w1(r29)2
  • c1(r15) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r15)
  • c1(r16) = w1(r36)2 + w1(r19)2
  • c1(r17) = w1(r36)2 + w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r36)w1(r15)
  • c1(r18) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r36)w1(r15)
  • c1(r19) = w1(r19)2
  • c1(r20) = w1(r36)2 + w1(r23)2
  • c1(r21) = w1(r36)2 + w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r23)2 + w1(r36)w1(r15)
  • c1(r22) = w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r23)2 + w1(r36)w1(r15)
  • c1(r23) = w1(r23)2
  • c1(r24) = w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r23)2 + w1(r36)w1(r15)
  • c1(r25) = w1(r19)2 + w1(r29)2 + w1(r23)2
  • c1(r26) = w1(r36)2 + w1(r19)2 + w1(r29)2 + w1(r23)2
  • c1(r27) = w1(r36)2 + w1(r36)w1(r19) + w1(r19)2 + w1(r36)w1(r29) + w1(r29)2 + w1(r23)2 + w1(r36)w1(r15)
  • c1(r28) = w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r15)
  • c1(r29) = w1(r29)2
  • c1(r30) = w1(r36)2 + w1(r29)2
  • c1(r31) = w1(r36)2 + w1(r36)w1(r19) + w1(r36)w1(r29) + w1(r29)2 + w1(r36)w1(r15)
  • c1(r32) = w1(r36)2
  • c2(r32) = w1(r36)2w1(r19)2 + w1(r19)4 + w1(r36)2w1(r23)2 + w1(r23)4 + w2(r33)2
  • c1(r33) = w1(r36)2
  • c2(r33) = w2(r33)2
  • c1(r34) = w1(r36)2
  • c2(r34) = w1(r36)2w1(r19)2 + w1(r19)4 + w1(r36)2w1(r29)2 + w1(r29)4 + w2(r33)2
  • c1(r35) = w1(r36)2
  • c2(r35) = w1(r36)2w1(r29)2 + w1(r29)4 + w1(r36)2w1(r23)2 + w1(r23)4 + w2(r33)2
  • c1(r36) = w1(r36)2
  • c2(r36) = w1(r36)2w1(r23)2 + w1(r23)4 + w2(r33)2
  • c1(r37) = w1(r36)2
  • c2(r37) = w1(r36)2w1(r19)2 + w1(r19)4 + w2(r33)2
  • c1(r38) = w1(r36)2
  • c2(r38) = w1(r36)2w1(r29)2 + w1(r29)4 + w2(r33)2
  • c1(r39) = w1(r36)2
  • c2(r39) = w1(r36)2w1(r19)2 + w1(r19)4 + w1(r36)2w1(r29)2 + w1(r29)4 + w1(r36)2w1(r23)2 + w1(r23)4 + w2(r33)2
The results above have been produced during the second run in April, 2008.