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Roots of E8 ?

a guest May 22nd, 2019 73 Never
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  1. {alpha[1]: 1,
  2.  alpha[1] + alpha[2] + alpha[3] + alpha[4]: 1,
  3.  alpha[1] + alpha[2] + alpha[3] + alpha[4] + alpha[5]: 1,
  4.  alpha[1] + alpha[3]: 1,
  5.  alpha[1] + alpha[3] + alpha[4]: 1,
  6.  alpha[1] + alpha[3] + alpha[4] + alpha[5]: 1,
  7.  alpha[1] + alpha[3] + alpha[4] + alpha[5] + alpha[6]: 1,
  8.  alpha[2]: 1,
  9.  alpha[2] + alpha[3] + alpha[4]: 1,
  10.  alpha[2] + alpha[3] + alpha[4] + alpha[5]: 1,
  11.  alpha[2] + alpha[3] + alpha[4] + alpha[5] + alpha[6]: 1,
  12.  alpha[2] + alpha[3] + 2*alpha[4] + alpha[5]: 1,
  13.  alpha[2] + alpha[4]: 1,
  14.  alpha[2] + alpha[4] + alpha[5]: 1,
  15.  alpha[2] + alpha[4] + alpha[5] + alpha[6]: 1,
  16.  alpha[2] + alpha[4] + alpha[5] + alpha[6] + alpha[7]: 1,
  17.  alpha[3]: 1,
  18.  alpha[3] + alpha[4]: 1,
  19.  alpha[3] + alpha[4] + alpha[5]: 1,
  20.  alpha[3] + alpha[4] + alpha[5] + alpha[6]: 1,
  21.  alpha[3] + alpha[4] + alpha[5] + alpha[6] + alpha[7]: 1,
  22.  alpha[4]: 1,
  23.  alpha[4] + alpha[5]: 1,
  24.  alpha[4] + alpha[5] + alpha[6]: 1,
  25.  alpha[4] + alpha[5] + alpha[6] + alpha[7]: 1,
  26.  alpha[4] + alpha[5] + alpha[6] + alpha[7] + alpha[8]: 1,
  27.  alpha[5]: 1,
  28.  alpha[5] + alpha[6]: 1,
  29.  alpha[5] + alpha[6] + alpha[7]: 1,
  30.  alpha[5] + alpha[6] + alpha[7] + alpha[8]: 1,
  31.  alpha[6]: 1,
  32.  alpha[6] + alpha[7]: 1,
  33.  alpha[6] + alpha[7] + alpha[8]: 1,
  34.  alpha[7]: 1,
  35.  alpha[7] + alpha[8]: 1,
  36.  alpha[8]: 1}
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