This is the last step of my calculation. I get following system of equations：
s:={a__11 = -b__1^2 + 5/4, a__12 = -b__1*b__2 + 7/4, a__13 = -b__1*b__3 - 1/2, a__14 = -b__1*b__4 - 1/2, a__15 = -b__1*b__5 - 1/2, a__16 = -b__1*b__6 - 1/2, a__17 = -b__1*b__7 - 1/2, a__22 = -b__2^2 + 5/4, a__23 = -b__2*b__3 - 1/2, a__24 = -b__2*b__4 - 1/2, a__25 = -b__2*b__5 - 1/2, a__26 = -b__2*b__6 - 1/2, a__27 = -b__2*b__7 - 1/2, a__33 = -b__3^2 - 1, a__34 = -b__3*b__4 + 1, a__35 = -b__3*b__5, a__36 = -b__3*b__6, a__37 = -b__3*b__7 + 1, a__44 = -b__4^2 - 1, a__45 = -b__4*b__5 + 1, a__46 = -b__4*b__6, a__47 = -b__4*b__7, a__55 = -b__5^2 - 1, a__56 = -b__5*b__6 + 1, a__57 = -b__5*b__7, a__66 = -b__6^2 - 1, a__67 = -b__6*b__7 + 1, a__77 = -b__7^2 - 1, b__1 = b__1, b__2 = b__2, b__3 = b__3, b__4 = b__4, b__5 = b__5, b__6 = b__6, b__7 = b__7}
I want to solve this system of equations
solve(s,{a__11, a__12, a__13, a__14, a__15, a__16, a__17, a__22, a__23, a__24, a__25, a__26, a__27, a__33, a__34, a__35, a__36, a__37, a__44, a__45, a__46, a__47, a__55, a__56, a__57, a__66, a__67, a__77, b__1, b__2, b__3, b__4, b__5, b__6, b__7})
But I didn't get any more valuable information
Actually I'd like to know if there is no real solution.
If there is a real number solution, one is enough for me.
Any help would be greatly appreciated