#G24.elim
#
#   Here, we compute the universal eliminant for Shapiro's conjecture when
# m=4 and p=2,  AND the flags osculate the rational normal
# curve at points  s,t,u,-s,-t,-u. The universal eliminant is a polynomial
# in x12^2.
#
#
-660*u^8*t^2*s^4-75*u^2*t^2*s^10-3564*u^6*t^4*s^4-660*u^2*t^8*s^4-660*u^2*t^4*s
^8-75*u^2*t^10*s^2-660*u^8*t^4*s^2-3564*u^4*t^6*s^4-660*u^4*t^8*s^2-30375*x12^4
*s^10-75*u^10*t^2*s^2-1602*s^6*t^6*u^2-660*s^8*u^4*t^2+6300*x12^2*u^4*s^8-\
62343750*x12^8*s^4*u^2+2025*x12^2*s^10*u^2-1602*s^6*t^2*u^6+2025*x12^2*s^2*u^10
+8950*x12^2*s^6*u^6+5231250*x12^6*s^6*u^2-1178250*t^2*x12^4*u^6*s^2-2028750*t^2
*x12^4*u^4*s^4+19143750*t^2*x12^6*u^2*s^4-1178250*t^2*x12^4*u^2*s^6+6300*x12^2*
u^8*s^4+19143750*t^4*x12^6*u^2*s^2-3564*u^4*t^4*s^6-2028750*t^4*x12^4*s^4*u^2-\
2028750*t^4*x12^4*u^4*s^2+153300*t^4*x12^2*s^4*u^4+81330*t^4*x12^2*u^6*s^2+
81330*t^4*x12^2*s^6*u^2+81330*t^2*x12^2*s^6*u^4-1602*s^2*t^6*u^6-134296875*t^2*
x12^8*s^2*u^2+1220703125*x12^14+19143750*t^2*x12^6*u^4*s^2+7856250*x12^6*u^4*s^
4-192375*x12^4*u^2*s^8-401250*x12^4*u^6*s^4+81330*t^2*x12^2*u^6*s^4-21093750*
x12^8*s^6-192375*x12^4*u^8*s^2+6300*t^8*x12^2*s^4+1265625*t^8*x12^6+26725*t^8*
x12^2*s^2*u^2+26725*t^2*x12^2*u^8*s^2+26725*t^2*x12^2*s^8*u^2-401250*t^4*x12^4*
s^6-401250*t^4*x12^4*u^6+2025*t^10*x12^2*u^2+2025*t^10*x12^2*s^2+6300*t^4*x12^2
*u^8+6300*t^4*x12^2*s^8-30375*t^10*x12^4+345703125*t^2*x12^10*u^2+345703125*t^2
*x12^10*s^2-62343750*t^2*x12^8*s^4-62343750*t^2*x12^8*u^4+2025*t^2*x12^2*u^10-\
192375*t^2*x12^4*s^8+2025*t^2*x12^2*s^10-192375*t^2*x12^4*u^8+7856250*t^4*x12^6
*u^4-62343750*t^4*x12^8*u^2+7856250*t^4*x12^6*s^4-62343750*t^4*x12^8*s^2+6300*t
^8*x12^2*u^4-21093750*t^6*x12^8-732421875*t^2*x12^12+175781250*t^4*x12^10+
5231250*t^6*x12^6*s^2+5231250*t^6*x12^6*u^2+8950*t^6*x12^2*s^6-401250*t^6*x12^4
*u^4-401250*t^6*x12^4*s^4+8950*t^6*x12^2*u^6-192375*t^8*x12^4*s^2-192375*t^8*
x12^4*u^2-62343750*x12^8*s^2*u^4-1178250*t^6*x12^4*s^2*u^2-401250*x12^4*u^4*s^6
+81330*t^6*x12^2*s^4*u^2+5231250*x12^6*s^2*u^6+5231250*t^2*x12^6*s^6+5231250*t^
2*x12^6*u^6+1265625*x12^6*s^8+175781250*x12^10*u^4-732421875*x12^12*s^2-\
732421875*x12^12*u^2+175781250*x12^10*s^4+345703125*x12^10*s^2*u^2+81330*t^6*
x12^2*u^4*s^2-21093750*x12^8*u^6+1265625*x12^6*u^8-30375*x12^4*u^10: