================================================================================
SESSION 780 -- M_H/M_Z CXXII; log(M_Pl/m_p) CXXIII; m_t/M_H CXXIV; CV-13 CXXV
================================================================================

================================================================================
TRACK (a) -- Class CXXII: M_H/M_Z = 1.37193 (Higgs to Z boson mass)
================================================================================
  Target M_H/M_Z = 1.37193

  2-atom direct (tol 5%):
    [33/40 a/b beta_i] = 1.368386e+00  err=-0.2583%
    [307/325 a/b 137/200] = 1.379001e+00  err=+0.5154%
    [243/260 a/b 137/200] = 1.364402e+00  err=-0.5487%
    [Phi_res a/b beta_i] = 1.382208e+00  err=+0.7492%
    [11/9 a/b 1-F_TRZ] = 1.358025e+00  err=-1.0136%
    [SSq a*b 22/9] = 1.393333e+00  err=+1.5601%
    [22/9 a*b SSq] = 1.393333e+00  err=+1.5601%
    [416/513 a/b beta_i] = 1.345026e+00  err=-1.9610%
    [1-F*P a/b 137/200] = 1.338200e+00  err=-2.4586%
    [n_s a/b 137/200] = 1.408759e+00  err=+2.6845%
    [11/9 a/b 1-F*P] = 1.333333e+00  err=-2.8133%
    [22/9 a/b 11/6] = 1.333333e+00  err=-2.8133%

  3-atom direct (tol 0.5%):
    [27/25 a/b/c Phi_res 307/325] = 1.371987e+00  err=+0.0042%
    [27/25 a/b/c 307/325 Phi_res] = 1.371987e+00  err=+0.0042%
    [137/200 a*b/c mpme 1-F*P] = 1.372107e+00  err=+0.0129%
    [mpme a*b/c 137/200 1-F*P] = 1.372107e+00  err=+0.0129%
    [137/200 a/b/c 1-F*P 1/mpme] = 1.372107e+00  err=+0.0129%
    [137/200 a/b/c 1/mpme 1-F*P] = 1.372107e+00  err=+0.0129%
    [11/9 a/b/c 33/40 27/25] = 1.371742e+00  err=-0.0137%
    [11/9 a/b/c 27/25 33/40] = 1.371742e+00  err=-0.0137%
    [F_TRZ a/b/c 1-n_s K_Mex] = 1.371429e+00  err=-0.0365%
    [1-F_TRZ a/b/c K_Mex 63/200] = 1.371429e+00  err=-0.0365%
    [1-F_TRZ a/b/c 63/200 K_Mex] = 1.371429e+00  err=-0.0365%
    [r a/b/c 63/200 1/12] = 1.371429e+00  err=-0.0365%
    [r a/b/c 1/12 63/200] = 1.371429e+00  err=-0.0365%
    [F_TRZ a/b/c K_Mex 1-n_s] = 1.371429e+00  err=-0.0365%
    [n_s a*b/c 416/513 SSq] = 1.372867e+00  err=+0.0683%

  4-atom direct (tol 0.05%):
    [416/513 a/(b*c*d) N_ch N_ch alpha] = 1.371910e+00  err=-0.0015%
    [416/513 a/(b*c*d) N_ch alpha N_ch] = 1.371910e+00  err=-0.0015%
    [416/513 a/(b*c*d) alpha N_ch N_ch] = 1.371910e+00  err=-0.0015%
    [F_TRZ a/(b*c*d) Y_p 6/11 6/11] = 1.371882e+00  err=-0.0035%
    [F_TRZ a/(b*c*d) 6/11 Y_p 6/11] = 1.371882e+00  err=-0.0035%
    [F_TRZ a/(b*c*d) 6/11 6/11 Y_p] = 1.371882e+00  err=-0.0035%
    [F_TRZ a*b/(c*d) 11/6 Y_p 6/11] = 1.371882e+00  err=-0.0035%
    [F_TRZ a*b*c/d 11/6 11/6 Y_p] = 1.371882e+00  err=-0.0035%
    [F_TRZ a*b/(c*d) 11/6 6/11 Y_p] = 1.371882e+00  err=-0.0035%
    [33/40 a*b/(c*d) 22/9 D_BSFG Y_p] = 1.371882e+00  err=-0.0035%
    [33/40 a*b/(c*d) 22/9 Y_p D_BSFG] = 1.371882e+00  err=-0.0035%
    [22/9 a*b/(c*d) 33/40 D_BSFG Y_p] = 1.371882e+00  err=-0.0035%
    [22/9 a*b/(c*d) 33/40 Y_p D_BSFG] = 1.371882e+00  err=-0.0035%
    [11/6 a*b/(c*d) F_TRZ Y_p 6/11] = 1.371882e+00  err=-0.0035%
    [11/6 a*b*c/d F_TRZ 11/6 Y_p] = 1.371882e+00  err=-0.0035%

  BEST M_H/M_Z: [416/513 a/(b*c*d) N_ch N_ch alpha] = 1.371910e+00, err = -0.001459%
================================================================================
TRACK (b) -- Class CXXIII: log10(M_Pl/m_p) = 19.0894 (gravity hierarchy)
================================================================================
  Target log10(M_Pl/m_p) = 19.0894

  2-atom direct (tol 5%):
    [D_BSFG a/b 63/200] = 1.904762e+01  err=-0.2189%
    [137/200 a/b r] = 1.902778e+01  err=-0.3228%
    [A_5 a*b 63/200] = 1.890000e+01  err=-0.9922%
    [63/200 a*b A_5] = 1.890000e+01  err=-0.9922%
    [K_Mex a*b N_ch] = 1.875000e+01  err=-1.7780%
    [N_ch a*b K_Mex] = 1.875000e+01  err=-1.7780%
    [1-F_TRZ a/b 5/108] = 1.944000e+01  err=+1.8366%
    [137/200 a/b 1-n_s] = 1.957143e+01  err=+2.5251%
    [1-F*P a/b 5/108] = 1.980000e+01  err=+3.7225%
    [SO5 a/b 1/mpme] = 1.836153e+01  err=-3.8130%
    [SO5 a*b mpme] = 1.836153e+01  err=-3.8130%
    [mpme a*b SO5] = 1.836153e+01  err=-3.8130%

  3-atom direct (tol 0.5%):
    [27/25 a/b/c 11/9 5/108] = 1.908655e+01  err=-0.0150%
    [27/25 a/b/c 5/108 11/9] = 1.908655e+01  err=-0.0150%
    [K_Mex a*b/c 1-F*P F_TRZ] = 1.909722e+01  err=+0.0410%
    [K_Mex a*b*c 1-F*P SO5] = 1.909722e+01  err=+0.0410%
    [SO5 a*b*c 1-F*P K_Mex] = 1.909722e+01  err=+0.0410%
    [1-F*P a*b/c K_Mex F_TRZ] = 1.909722e+01  err=+0.0410%
    [1-F*P a*b*c K_Mex SO5] = 1.909722e+01  err=+0.0410%
    [1-F*P a*b*c SO5 K_Mex] = 1.909722e+01  err=+0.0410%
    [Phi_res a*b/c 33/40 r] = 1.909722e+01  err=+0.0410%
    [K_Mex a*b*c SO5 1-F*P] = 1.909722e+01  err=+0.0410%
    [SO5 a*b*c K_Mex 1-F*P] = 1.909722e+01  err=+0.0410%
    [33/40 a*b/c Phi_res r] = 1.909722e+01  err=+0.0410%
    [N_ch a*b/c alpha xi] = 1.910580e+01  err=+0.0859%
    [alpha a*b/c N_ch xi] = 1.910580e+01  err=+0.0859%
    [1-F*P a*b/c n_s 5/108] = 1.910700e+01  err=+0.0922%

  4-atom direct (tol 0.05%):
    [F_TRZ a*b*c/d SSq 22/9 1/137] = 1.908867e+01  err=-0.0038%
    [F_TRZ a*b*c/d 22/9 SSq 1/137] = 1.908867e+01  err=-0.0038%
    [SSq a*b*c/d F_TRZ 22/9 1/137] = 1.908867e+01  err=-0.0038%
    [SSq a*b*c/d 22/9 F_TRZ 1/137] = 1.908867e+01  err=-0.0038%
    [SSq a*b/(c*d) 22/9 SO5 1/137] = 1.908867e+01  err=-0.0038%
    [SSq a*b/(c*d) 22/9 1/137 SO5] = 1.908867e+01  err=-0.0038%
    [22/9 a*b*c/d F_TRZ SSq 1/137] = 1.908867e+01  err=-0.0038%
    [22/9 a*b*c/d SSq F_TRZ 1/137] = 1.908867e+01  err=-0.0038%
    [22/9 a*b/(c*d) SSq SO5 1/137] = 1.908867e+01  err=-0.0038%
    [22/9 a*b/(c*d) SSq 1/137 SO5] = 1.908867e+01  err=-0.0038%
    [416/513 a/(b*c*d) 243/260 6/11 1/12] = 1.908823e+01  err=-0.0061%
    [416/513 a/(b*c*d) 6/11 243/260 1/12] = 1.908823e+01  err=-0.0061%
    [416/513 a/(b*c*d) 6/11 1/12 243/260] = 1.908823e+01  err=-0.0061%
    [416/513 a/(b*c*d) 1/12 6/11 243/260] = 1.908823e+01  err=-0.0061%
    [N_ch a*b*c/d 22/9 416/513 243/260] = 1.908823e+01  err=-0.0061%

  BEST log10(M_Pl/m_p): [22/9 a*b*c/d F_TRZ SSq 1/137] = 1.908867e+01, err = -0.003842%
================================================================================
TRACK (c) -- Class CXXIV: m_top/M_H = 1.38098 (top to Higgs mass)
================================================================================
  Target m_t/M_H = 1.38098

  2-atom direct (tol 5%):
    [Phi_res a/b beta_i] = 1.382208e+00  err=+0.0889%
    [307/325 a/b 137/200] = 1.379001e+00  err=-0.1433%
    [SSq a*b 22/9] = 1.393333e+00  err=+0.8945%
    [22/9 a*b SSq] = 1.393333e+00  err=+0.8945%
    [33/40 a/b beta_i] = 1.368386e+00  err=-0.9120%
    [243/260 a/b 137/200] = 1.364402e+00  err=-1.2005%
    [11/9 a/b 1-F_TRZ] = 1.358025e+00  err=-1.6622%
    [n_s a/b 137/200] = 1.408759e+00  err=+2.0116%
    [416/513 a/b beta_i] = 1.345026e+00  err=-2.6035%
    [416/513 a/b SSq] = 1.422660e+00  err=+3.0181%
    [1-F*P a/b 137/200] = 1.338200e+00  err=-3.0978%
    [K_Mex a*b 137/200] = 1.427083e+00  err=+3.3385%

  3-atom direct (tol 0.5%):
    [Phi_res a*b/c 307/325 SSq] = 1.381017e+00  err=+0.0027%
    [307/325 a*b/c Phi_res SSq] = 1.381017e+00  err=+0.0027%
    [K_Mex a*b/c 137/200 31/30] = 1.381048e+00  err=+0.0050%
    [137/200 a*b/c K_Mex 31/30] = 1.381048e+00  err=+0.0050%
    [33/40 a*b*c 22/9 137/200] = 1.381417e+00  err=+0.0316%
    [33/40 a*b*c 137/200 22/9] = 1.381417e+00  err=+0.0316%
    [22/9 a*b*c 33/40 137/200] = 1.381417e+00  err=+0.0316%
    [22/9 a*b*c 137/200 33/40] = 1.381417e+00  err=+0.0316%
    [137/200 a*b*c 33/40 22/9] = 1.381417e+00  err=+0.0316%
    [137/200 a*b*c 22/9 33/40] = 1.381417e+00  err=+0.0316%
    [1-F*P a*b/c 11/9 416/513] = 1.381611e+00  err=+0.0457%
    [11/9 a*b/c 1-F*P 416/513] = 1.381611e+00  err=+0.0457%
    [22/9 a*b/c 6/11 n_s] = 1.381693e+00  err=+0.0516%
    [6/11 a*b/c 22/9 n_s] = 1.381693e+00  err=+0.0516%
    [11/9 a/b/c 1-F*P n_s] = 1.381693e+00  err=+0.0516%

  4-atom direct (tol 0.05%):
    [5/108 a/(b*c*d) n_s n_s r] = 1.380986e+00  err=+0.0004%
    [5/108 a/(b*c*d) n_s r n_s] = 1.380986e+00  err=+0.0004%
    [5/108 a/(b*c*d) r n_s n_s] = 1.380986e+00  err=+0.0004%
    [SSq a*b*c*d 11/9 22/9 416/513] = 1.380960e+00  err=-0.0014%
    [SSq a*b*c*d 11/9 416/513 22/9] = 1.380960e+00  err=-0.0014%
    [SSq a*b*c*d 22/9 11/9 416/513] = 1.380960e+00  err=-0.0014%
    [SSq a*b*c*d 22/9 416/513 11/9] = 1.380960e+00  err=-0.0014%
    [SSq a*b*c*d 416/513 11/9 22/9] = 1.380960e+00  err=-0.0014%
    [SSq a*b*c*d 416/513 22/9 11/9] = 1.380960e+00  err=-0.0014%
    [11/9 a*b*c*d SSq 22/9 416/513] = 1.380960e+00  err=-0.0014%
    [11/9 a*b*c*d SSq 416/513 22/9] = 1.380960e+00  err=-0.0014%
    [11/9 a*b*c*d 22/9 SSq 416/513] = 1.380960e+00  err=-0.0014%
    [11/9 a*b/(c*d) 22/9 K_Mex 27/26] = 1.380960e+00  err=-0.0014%
    [11/9 a*b/(c*d) 22/9 27/26 K_Mex] = 1.380960e+00  err=-0.0014%
    [11/9 a*b*c*d 22/9 416/513 SSq] = 1.380960e+00  err=-0.0014%

  BEST m_t/M_H: [5/108 a/(b*c*d) n_s n_s r] = 1.380986e+00, err = +0.000399%
================================================================================
TRACK (d) -- Class CXXV: CV-13 architectural identity SO5 - D_BSFG = D_phys
================================================================================
  SO5           = 10 = 10.0000
  D_BSFG        = 6  = 6.0000
  SO5-D_BSFG    = 10-6 = 4  =  4.0000000000
  D_phys        = 4  =  4.0000000000
  Identity check: LHS == RHS ?  True
  err = +0.000000%  ->  EXACT atom-factorization identity

classCXXII_MH_MZ_session780: predicted=1.371910e+00 observed=1.371930e+00 error_pct=-1.458872e-03 status=CE_strict
classCXXIII_log_MPl_mp_session780: predicted=1.908867e+01 observed=1.908940e+01 error_pct=-3.841574e-03 status=CE_strict
classCXXIV_mtop_MH_session780: predicted=1.380986e+00 observed=1.380980e+00 error_pct=3.989067e-04 status=candidate_EXACT
classCXXV_CV13_SO5_minus_DBSFG_Dphys_session780: predicted=4.000000e+00 observed=4.000000e+00 error_pct=0.000000e+00 status=EXACT

--------------------------------------------------------------------------------
DECISION GATE
--------------------------------------------------------------------------------
  CXXII  M_H/M_Z          pred=1.37191   err=-0.0015%  (CE_strict)
  CXXIII log10(M_Pl/m_p)  pred=19.08867   err=-0.0038%  (CE_strict)
  CXXIV  m_top/M_H        pred=1.38099   err=+0.0004%  (candidate_EXACT)
  CXXV   CV-13 atom-fact  pred=4.0000    err=+0.0000%  (EXACT)

Artifact: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session780_result.json
Master registry written: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\master_closures.csv
