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problem in solving inconsistent system of equations

• To: mathgroup at smc.vnet.net
• Subject: [mg127609] problem in solving inconsistent system of equations
• From: awaisysf <awaisysf at yahoo.com>
• Date: Tue, 7 Aug 2012 03:01:46 -0400 (EDT)
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Reduce[a^2 + a + b*c + 1 == 0 && e^2 + f*g + 1 == 0 && 
  k^2 + k + l*m + 1 == 0 && s^2 + t*u + 1 == 0 && 
  2*a*k + k + b*m + c*l + a + 1 == 0 && 2*a*s + s + b*u + c*t == 0 && 
  2*k*e + e + f*m + g*l == 0 && 2*e*s + f*u + g*t == 0 && 
  e (-1 - k) - g l + c (f (-1 - k) + e l) + b (g k - e m) + 
    a (-e - g l + f m) == 1, {a, b, c, e, f, g, k, l, m, s, t, u}, 
 Modulus -> 37]

but when i solve this through Mathematica it gives this error
"
Reduce::munsp: Reduce was unable to solve the system. Increasing the value of SystemOption MaxModularPoints may help."

actually there are many solution who satisfied this system of questions by the above mention command i need only one or first few solutions please help to modified this code . thanks

• Follow-Ups:
  • Re: problem in solving inconsistent system of equations
    • From: Andrzej Kozlowski <akozlowski@gmail.com>
  • Re: problem in solving inconsistent system of equations
    • From: W Craig Carter <ccarter@MIT.EDU>