A minimal set of generators for the cohomology is:
  • w2(r13) of degree 2
  • w1(r17) of degree 1
  • w1(r19) of degree 1
  • w2(r18) of degree 2
  • w1(r7) of degree 1
  • w2(r16) of degree 2
The Steenrod operations are as follows:
  • Sq1(w2(r13)) = 0
  • Sq1(w2(r18)) = w1(r19)w2(r18)
  • Sq1(w2(r16)) = w1(r17)w2(r16)
Here is a minimal system of equations:
  • (1)          w1(r17)2 = 0
  • (2)          w1(r17)w1(r19) + w1(r19)2 = 0
  • (3)          w1(r17)w1(r19) + w1(r19)w1(r7) + w1(r7)2 = 0
Stiefel-Whitney classes:
  • w1(r1) = w1(r19)
  • w1(r2) = w1(r17) + w1(r19)
  • w1(r3) = w1(r17)
  • w1(r4) = w1(r17) + w1(r7)
  • w1(r5) = w1(r17) + w1(r19) + w1(r7)
  • w1(r6) = w1(r19) + w1(r7)
  • w1(r7) = w1(r7)
  • w2(r8) = w2(r13) + w1(r19)w1(r7)
  • w2(r9) = w2(r13) + w1(r17)w1(r19) + w1(r19)w1(r7)
  • w2(r12) = w2(r13) + w1(r17)w1(r19)
  • w2(r13) = w2(r13)
  • w1(r16) = w1(r17)
  • w2(r16) = w2(r16)
  • w1(r17) = w1(r17)
  • w2(r17) = w1(r17)w1(r19) + w1(r17)w1(r7) + w1(r19)w1(r7) + w2(r16)
  • w1(r18) = w1(r19)
  • w2(r18) = w2(r18)
  • w1(r19) = w1(r19)
  • w2(r19) = w1(r17)w1(r19) + w2(r18)
  • w2(r20) = 0
  • w4(r20) = w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
  • w4(r22) = w2(r13)2 + w2(r16)2
  • w4(r23) = w2(r13)2 + w2(r16)2
  • w2(r24) = w1(r17)w1(r19)
  • w4(r24) = w2(r13)2 + w2(r13)w1(r17)w1(r19) + w2(r18)2
  • w4(r26) = w2(r13)2 + w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
  • w4(r27) = w2(r13)2 + w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
Chern classes:
  • c1(r1) = w1(r17)w1(r19)
  • c1(r2) = w1(r17)w1(r19)
  • c1(r3) = 0
  • c1(r4) = w1(r17)w1(r19) + w1(r19)w1(r7)
  • c1(r5) = w1(r19)w1(r7)
  • c1(r6) = w1(r19)w1(r7)
  • c1(r7) = w1(r17)w1(r19) + w1(r19)w1(r7)
  • c1(r8) = w2(r13) + w1(r19)w1(r7)
  • c1(r9) = w2(r13) + w1(r17)w1(r19) + w1(r19)w1(r7)
  • c1(r10) = w2(r13) + w1(r17)w1(r19) + w1(r19)w1(r7)
  • c1(r11) = w2(r13) + w1(r19)w1(r7)
  • c1(r12) = w2(r13) + w1(r17)w1(r19)
  • c1(r13) = w2(r13)
  • c1(r14) = w2(r13)
  • c1(r15) = w2(r13) + w1(r17)w1(r19)
  • c1(r16) = 0
  • c2(r16) = w2(r16)2
  • c1(r17) = 0
  • c2(r17) = w2(r16)2
  • c1(r18) = w1(r17)w1(r19)
  • c2(r18) = w2(r18)2
  • c1(r19) = w1(r17)w1(r19)
  • c2(r19) = w2(r18)2
  • c1(r20) = 0
  • c2(r20) = w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
  • c1(r21) = 0
  • c2(r21) = w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
  • c2(r22) = w2(r13)2 + w2(r16)2
  • c2(r23) = w2(r13)2 + w2(r16)2
  • c1(r24) = w1(r17)w1(r19)
  • c2(r24) = w2(r13)2 + w2(r13)w1(r17)w1(r19) + w2(r18)2
  • c1(r25) = w1(r17)w1(r19)
  • c2(r25) = w2(r13)2 + w2(r13)w1(r17)w1(r19) + w2(r18)2
  • c2(r26) = w2(r13)2 + w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
  • c2(r27) = w2(r13)2 + w1(r17)w1(r19)w2(r18) + w2(r18)2 + w2(r16)2
The results above have been produced during the second run in April, 2008.