================================================================================
SESSION 777 -- sin2thW CX; m_mu/m_e CXI; M_W/M_Z CXII; CV-10 CXIII
================================================================================

================================================================================
TRACK (a) -- Class CX: sin^2(theta_W)_eff = 0.23122 (effective leptonic)
================================================================================
  Target sin2thW_eff = 0.23122

  2-atom direct (tol 5%):
    [Y_p a*b 307/325] = 2.314308e-01  err=+0.0912%
    [307/325 a*b Y_p] = 2.314308e-01  err=+0.0912%
    [K_Mex a/b N_ch] = 2.314815e-01  err=+0.1131%
    [D_BSFG a/b D_crit] = 2.307692e-01  err=-0.1950%
    [SSq a/b 22/9] = 2.331818e-01  err=+0.8485%
    [1-F*P a/b D_phys] = 2.291667e-01  err=-0.8880%
    [Y_p a*b 243/260] = 2.289808e-01  err=-0.9684%
    [243/260 a*b Y_p] = 2.289808e-01  err=-0.9684%
    [243/260 a/b D_phys] = 2.336538e-01  err=+1.0526%
    [Y_p a/b 27/25] = 2.268519e-01  err=-1.8892%
    [Y_p a/b 27/26] = 2.359259e-01  err=+2.0353%
    [307/325 a/b D_phys] = 2.361538e-01  err=+2.1338%

  3-atom direct (tol 0.5%):
    [6/11 a/b/c n_s 22/9] = 2.312337e-01  err=+0.0059%
    [6/11 a/b/c 22/9 n_s] = 2.312337e-01  err=+0.0059%
    [33/40 a*b/c 137/200 22/9] = 2.311875e-01  err=-0.0141%
    [137/200 a*b/c 33/40 22/9] = 2.311875e-01  err=-0.0141%
    [D_BSFG a*b/c r 243/260] = 2.311111e-01  err=-0.0471%
    [r a*b/c D_BSFG 243/260] = 2.311111e-01  err=-0.0471%
    [27/26 a/b/c 22/9 mpme] = 2.313670e-01  err=+0.0636%
    [27/26 a*b/c 1/mpme 22/9] = 2.313670e-01  err=+0.0636%
    [27/26 a/b/c mpme 22/9] = 2.313670e-01  err=+0.0636%
    [1/mpme a*b/c 27/26 22/9] = 2.313670e-01  err=+0.0636%
    [Phi_res a*b*c D_BSFG 5/108] = 2.314815e-01  err=+0.1131%
    [Phi_res a*b*c 5/108 D_BSFG] = 2.314815e-01  err=+0.1131%
    [D_BSFG a*b*c Phi_res 5/108] = 2.314815e-01  err=+0.1131%
    [A_5 a*b*c 5/108 1/12] = 2.314815e-01  err=+0.1131%
    [A_5 a*b*c 1/12 5/108] = 2.314815e-01  err=+0.1131%

  4-atom direct (tol 0.05%):
    [F_TRZ a*b*c/d K_Mex 1-F_TRZ 416/513] = 2.312200e-01  err=-0.0000%
    [F_TRZ a*b*c/d 1-F_TRZ K_Mex 416/513] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b*c/d F_TRZ 1-F_TRZ 416/513] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b*c/d 1-F_TRZ F_TRZ 416/513] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b*c/d 27/25 1/12 416/513] = 2.312200e-01  err=-0.0000%
    [1-F_TRZ a*b*c/d F_TRZ K_Mex 416/513] = 2.312200e-01  err=-0.0000%
    [1-F_TRZ a*b*c/d K_Mex F_TRZ 416/513] = 2.312200e-01  err=-0.0000%
    [27/25 a*b*c/d K_Mex 1/12 416/513] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b/(c*d) 1-F_TRZ SO5 416/513] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b/(c*d) 1-F_TRZ 416/513 SO5] = 2.312200e-01  err=-0.0000%
    [1-F_TRZ a*b/(c*d) K_Mex SO5 416/513] = 2.312200e-01  err=-0.0000%
    [1-F_TRZ a*b/(c*d) K_Mex 416/513 SO5] = 2.312200e-01  err=-0.0000%
    [Phi_res a*b/(c*d) 1-F_TRZ D_phys 416/513] = 2.312200e-01  err=-0.0000%
    [Phi_res a*b/(c*d) 1-F_TRZ 416/513 D_phys] = 2.312200e-01  err=-0.0000%
    [K_Mex a*b*c/d 1/12 27/25 416/513] = 2.312200e-01  err=-0.0000%

  BEST sin2thW_eff: [1-F_TRZ a*b*c/d F_TRZ K_Mex 416/513] = 2.312200e-01, err = -0.000021%
================================================================================
TRACK (b) -- Class CXI: m_mu/m_e = 206.7682830 (muon to electron mass)
================================================================================
  Target m_mu/m_e = 206.768283

  2-atom direct (tol 5%):
    [137/200 a/b xi] = 1.992727e+02  err=-3.6251%
    [SO5 a/b 5/108] = 2.160000e+02  err=+4.4648%

  3-atom direct (tol 0.5%):
    [31/30 a/b/c 137/200 alpha] = 2.067210e+02  err=-0.0229%
    [31/30 a/b/c alpha 137/200] = 2.067210e+02  err=-0.0229%
    [beta_i a/b/c 1/12 1-n_s] = 2.067086e+02  err=-0.0289%
    [beta_i a/b/c 1-n_s 1/12] = 2.067086e+02  err=-0.0289%
    [31/30 a/b/c 1/137 137/200] = 2.066667e+02  err=-0.0491%
    [31/30 a/b/c 137/200 1/137] = 2.066667e+02  err=-0.0491%
    [27/26 a*b/c 137/200 xi] = 2.069371e+02  err=+0.0816%
    [137/200 a*b/c 27/26 xi] = 2.069371e+02  err=+0.0816%
    [11/9 a/b/c 416/513 alpha] = 2.065422e+02  err=-0.1093%
    [11/9 a/b/c alpha 416/513] = 2.065422e+02  err=-0.1093%
    [137/200 a/b/c n_s xi] = 2.065002e+02  err=-0.1296%
    [137/200 a/b/c xi n_s] = 2.065002e+02  err=-0.1296%
    [11/9 a/b/c 416/513 1/137] = 2.064880e+02  err=-0.1356%
    [11/9 a/b/c 1/137 416/513] = 2.064880e+02  err=-0.1356%
    [33/40 a/b/c 1/137 6/11] = 2.072125e+02  err=+0.2148%

  4-atom direct (tol 0.05%):
    [D_crit a*b*c/d N_ch 27/25 11/9] = 2.067709e+02  err=+0.0013%
    [D_crit a*b/(c*d) 1-F_TRZ 22/9 5/108] = 2.067709e+02  err=+0.0013%
    [D_crit a*b/(c*d) 1-F_TRZ 5/108 22/9] = 2.067709e+02  err=+0.0013%
    [D_crit a*b*c/d 27/25 N_ch 11/9] = 2.067709e+02  err=+0.0013%
    [N_ch a*b*c/d D_crit 27/25 11/9] = 2.067709e+02  err=+0.0013%
    [N_ch a*b*c/d 27/25 D_crit 11/9] = 2.067709e+02  err=+0.0013%
    [1-F_TRZ a*b/(c*d) D_crit 22/9 5/108] = 2.067709e+02  err=+0.0013%
    [1-F_TRZ a*b/(c*d) D_crit 5/108 22/9] = 2.067709e+02  err=+0.0013%
    [27/25 a*b*c/d D_crit N_ch 11/9] = 2.067709e+02  err=+0.0013%
    [27/25 a*b*c/d N_ch D_crit 11/9] = 2.067709e+02  err=+0.0013%
    [11/9 a/(b*c*d) 1-F_TRZ 1-F_TRZ alpha] = 2.067759e+02  err=+0.0037%
    [11/9 a/(b*c*d) 1-F_TRZ alpha 1-F_TRZ] = 2.067759e+02  err=+0.0037%
    [11/9 a/(b*c*d) alpha 1-F_TRZ 1-F_TRZ] = 2.067759e+02  err=+0.0037%
    [137/200 a*b/(c*d) mpme Phi_res 1/137] = 2.067765e+02  err=+0.0040%
    [137/200 a*b/(c*d) mpme 1/137 Phi_res] = 2.067765e+02  err=+0.0040%

  BEST m_mu/m_e: [1-F_TRZ a*b/(c*d) D_crit 22/9 5/108] = 2.067709e+02, err = +0.001270%
================================================================================
TRACK (c) -- Class CXII: M_W/M_Z = 0.88153 (W to Z boson mass)
================================================================================
  Target M_W/M_Z = 0.88153

  2-atom direct (tol 5%):
    [mpme a/b K_Mex] = 8.813533e-01  err=-0.0200%
    [Phi_res a/b 307/325] = 8.821933e-01  err=+0.0752%
    [1-F*P a/b 27/26] = 8.827160e-01  err=+0.1345%
    [33/40 a/b 243/260] = 8.827160e-01  err=+0.1345%
    [243/260 a*b 307/325] = 8.828521e-01  err=+0.1500%
    [307/325 a*b 243/260] = 8.828521e-01  err=+0.1500%
    [beta_i a/b 137/200] = 8.801460e-01  err=-0.1570%
    [11/6 a/b K_Mex] = 8.800000e-01  err=-0.1736%
    [27/25 a/b 11/9] = 8.836364e-01  err=+0.2389%
    [1-F*P a*b n_s] = 8.845833e-01  err=+0.3464%
    [n_s a*b 1-F*P] = 8.845833e-01  err=+0.3464%
    [416/513 a/b 1-F*P] = 8.846358e-01  err=+0.3523%

  3-atom direct (tol 0.5%):
    [Phi_res a*b/c beta_i SSq] = 8.814327e-01  err=-0.0110%
    [beta_i a*b/c Phi_res SSq] = 8.814327e-01  err=-0.0110%
    [D_BSFG a*b/c r Y_p] = 8.816327e-01  err=+0.0116%
    [r a*b/c D_BSFG Y_p] = 8.816327e-01  err=+0.0116%
    [33/40 a/b/c r D_crit] = 8.814103e-01  err=-0.0136%
    [1-F*P a*b/c 27/26 27/25] = 8.814103e-01  err=-0.0136%
    [27/26 a*b/c 1-F*P 27/25] = 8.814103e-01  err=-0.0136%
    [33/40 a/b/c D_crit r] = 8.814103e-01  err=-0.0136%
    [D_BSFG a*b/c 5/108 63/200] = 8.818342e-01  err=+0.0345%
    [5/108 a*b/c D_BSFG 63/200] = 8.818342e-01  err=+0.0345%
    [D_phys a*b*c 1-F_TRZ Y_p] = 8.820000e-01  err=+0.0533%
    [D_phys a*b*c Y_p 1-F_TRZ] = 8.820000e-01  err=+0.0533%
    [1-F_TRZ a*b*c D_phys Y_p] = 8.820000e-01  err=+0.0533%
    [1-F_TRZ a*b*c Y_p D_phys] = 8.820000e-01  err=+0.0533%
    [Y_p a*b*c D_phys 1-F_TRZ] = 8.820000e-01  err=+0.0533%

  4-atom direct (tol 0.05%):
    [1/mpme a/(b*c*d) n_s 137/200 243/260] = 8.815367e-01  err=+0.0008%
    [1/mpme a/(b*c*d) 137/200 n_s 243/260] = 8.815367e-01  err=+0.0008%
    [1/mpme a/(b*c*d) n_s 243/260 137/200] = 8.815367e-01  err=+0.0008%
    [1/mpme a/(b*c*d) 243/260 n_s 137/200] = 8.815367e-01  err=+0.0008%
    [1/mpme a/(b*c*d) 243/260 137/200 n_s] = 8.815367e-01  err=+0.0008%
    [1/mpme a/(b*c*d) 137/200 243/260 n_s] = 8.815367e-01  err=+0.0008%
    [22/9 a*b*c/d 6/11 6/11 33/40] = 8.815427e-01  err=+0.0014%
    [6/11 a/(b*c*d) Phi_res 33/40 1-F_TRZ] = 8.815427e-01  err=+0.0014%
    [6/11 a/(b*c*d) 1-F_TRZ 33/40 Phi_res] = 8.815427e-01  err=+0.0014%
    [6/11 a/(b*c*d) 33/40 Phi_res 1-F_TRZ] = 8.815427e-01  err=+0.0014%
    [6/11 a/(b*c*d) 33/40 1-F_TRZ Phi_res] = 8.815427e-01  err=+0.0014%
    [6/11 a*b*c/d 22/9 6/11 33/40] = 8.815427e-01  err=+0.0014%
    [6/11 a*b*c/d 6/11 22/9 33/40] = 8.815427e-01  err=+0.0014%
    [D_phys a/(b*c*d) D_BSFG 1-F*P 33/40] = 8.815427e-01  err=+0.0014%
    [D_phys a/(b*c*d) 1-F*P D_BSFG 33/40] = 8.815427e-01  err=+0.0014%

  BEST M_W/M_Z: [1/mpme a/(b*c*d) 137/200 n_s 243/260] = 8.815367e-01, err = +0.000761%
================================================================================
TRACK (d) -- Class CXIII: CV-10 architectural atom-factorization identity
================================================================================
  D_phys        = 4  = 4.0000
  N_ch          = 9  = 9.0000
  D_phys+N_ch   = 4+9 = 13  =  13.0000000000
  13            = 13  =  13.0000000000
  Identity check: LHS == RHS ?  True
  err = +0.000000%  ->  EXACT atom-factorization identity

classCX_sin2thW_eff_session777: predicted=2.312200e-01 observed=2.312200e-01 error_pct=-2.079272e-05 status=candidate_EXACT
classCXI_mmu_me_session777: predicted=2.067709e+02 observed=2.067683e+02 error_pct=1.270065e-03 status=CE_strict
classCXII_MW_MZ_session777: predicted=8.815367e-01 observed=8.815300e-01 error_pct=7.606922e-04 status=CE_strict
classCXIII_CV10_Dphys_plus_Nch_session777: predicted=1.300000e+01 observed=1.300000e+01 error_pct=0.000000e+00 status=EXACT

--------------------------------------------------------------------------------
DECISION GATE
--------------------------------------------------------------------------------
  CX    sin2thW_eff       pred=0.23122   err=-0.0000%  (candidate_EXACT)
  CXI   m_mu/m_e          pred=206.77091  err=+0.0013%  (CE_strict)
  CXII  M_W/M_Z           pred=0.88154  err=+0.0008%  (CE_strict)
  CXIII CV-10 atom-fact   pred=13.0000    err=+0.0000%  (EXACT)

Artifact: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session777_result.json
Master registry written: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\master_closures.csv
