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SESSION 753 -- sigma_8(KiDS) CE push; w_DE; Omega_b h^2
================================================================================

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TRACK (a) -- sigma_8(KiDS) strict CE push
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  base (416/513) = 0.810916
  needed mult = 0.94461058  delta = -5.538942e-02
  S752 closure: (416/513)*(307/325) = 0.76600390, err = +0.000509%

  4-atom delta search on |delta|=5.5389e-2 (tol 0.05%):
    1-[11/9 a*b*c/d 5/108 307/325 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[11/9 a*b*c/d 307/325 5/108 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[5/108 a*b*c/d 11/9 307/325 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[5/108 a*b*c/d 307/325 11/9 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[307/325 a*b*c/d 11/9 5/108 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[307/325 a*b*c/d 5/108 11/9 n_s]  d=5.538908e-02  s8K=0.76600028  err=+0.000037%
    1-[Y_p a*b/(c*d) 63/200 SSq 22/9]  d=5.538876e-02  s8K=0.76600054  err=+0.000071%
    1-[Y_p a*b/(c*d) 63/200 22/9 SSq]  d=5.538876e-02  s8K=0.76600054  err=+0.000071%
    1-[63/200 a*b/(c*d) Y_p SSq 22/9]  d=5.538876e-02  s8K=0.76600054  err=+0.000071%
    1-[63/200 a*b/(c*d) Y_p 22/9 SSq]  d=5.538876e-02  s8K=0.76600054  err=+0.000071%
    1-[beta_i a*b*c/d 1-F*P Y_p 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[beta_i a*b*c/d Y_p 1-F*P 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[beta_i a*b*c/d 63/200 63/200 27/25]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[1-F*P a*b*c/d beta_i Y_p 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[Y_p a*b*c/d beta_i 1-F*P 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[63/200 a*b*c/d beta_i 63/200 27/25]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[1-F*P a*b*c/d Y_p beta_i 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[Y_p a*b*c/d 1-F*P beta_i 22/9]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[63/200 a*b*c/d 63/200 beta_i 27/25]  d=5.539144e-02  s8K=0.76599837  err=-0.000213%
    1-[SSq a*b/(c*d) 307/325 N_ch 27/25]  d=5.539411e-02  s8K=0.76599620  err=-0.000496%

  4-atom direct on sigma_8(KiDS)=0.766 (tol 0.02%):
    [SSq a*b*c/d 416/513 307/325 SSq] = 0.76600390  err=+0.000509%
    [SSq a*b*c/d 307/325 416/513 SSq] = 0.76600390  err=+0.000509%
    [K_Mex a*b*c/d 307/325 416/513 K_Mex] = 0.76600390  err=+0.000509%
    [D_crit a*b*c/d 416/513 307/325 D_crit] = 0.76600390  err=+0.000509%
    [A_5 a*b*c/d 416/513 307/325 A_5] = 0.76600390  err=+0.000509%
    [A_5 a*b*c/d 307/325 416/513 A_5] = 0.76600390  err=+0.000509%
    [n_s a*b*c/d 416/513 307/325 n_s] = 0.76600390  err=+0.000509%
    [Y_p a*b*c/d 416/513 307/325 Y_p] = 0.76600390  err=+0.000509%
    [Y_p a*b*c/d 307/325 416/513 Y_p] = 0.76600390  err=+0.000509%
    [27/26 a*b*c/d 307/325 416/513 27/26] = 0.76600390  err=+0.000509%
    [243/260 a*b*c/d 416/513 307/325 243/260] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d SSq 307/325 SSq] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d D_crit 307/325 D_crit] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d A_5 307/325 A_5] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d n_s 307/325 n_s] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d Y_p 307/325 Y_p] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d 243/260 307/325 243/260] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d 31/30 307/325 31/30] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d 137/200 307/325 137/200] = 0.76600390  err=+0.000509%
    [416/513 a*b*c/d 307/325 A_5 A_5] = 0.76600390  err=+0.000509%

  BEST sigma_8(KiDS): (416/513)*[1-(11/9 a*b*c/d 5/108 307/325 n_s)] = 0.76600028, err = +0.000037%

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TRACK (b) -- Class XXXVI: dark-energy equation of state w_DE
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  observed w_DE = -1.03  ->  |w| = 1.03
  LCDM seed: w_DE = -1, err = -2.9126%

  2-atom direct on |w|=1.03 (tol 1%):
    [307/325 a/b 1-F*P] = 1.030490  err=+0.047525%
    [r a/b 1-n_s] = 1.028571  err=-0.138696%
    [Phi_res a/b 416/513] = 1.027644  err=-0.228715%
    [n_s a/b 243/260] = 1.032510  err=+0.243717%
    [n_s a/b 307/325] = 1.021580  err=-0.817495%
    [243/260 a/b 1-F_TRZ] = 1.038462  err=+0.821509%
    [27/25 a*b 307/325] = 1.020185  err=-0.952950%
    [307/325 a*b 27/25] = 1.020185  err=-0.952950%
    [27/25 a/b 27/26] = 1.040000  err=+0.970874%

  3-atom direct on |w|=1.03 (tol 0.3%):
    [27/26 a/b/c 33/40 11/9] = 1.029879  err=-0.011727%
    [27/26 a/b/c 11/9 33/40] = 1.029879  err=-0.011727%
    [416/513 a/b/c Phi_res 307/325] = 1.030154  err=+0.014962%
    [416/513 a/b/c 307/325 Phi_res] = 1.030154  err=+0.014962%
    [1-F_TRZ a/b/c 243/260 243/260] = 1.030331  err=+0.032111%
    [31/30 a*b*c 31/30 n_s] = 1.030406  err=+0.039374%
    [n_s a*b*c 31/30 31/30] = 1.030406  err=+0.039374%
    [31/30 a*b*c n_s 31/30] = 1.030406  err=+0.039374%
    [1-F_TRZ a*b/c 307/325 33/40] = 1.030490  err=+0.047525%
    [307/325 a*b/c 1-F_TRZ 33/40] = 1.030490  err=+0.047525%
    [27/26 a*b*c 11/9 416/513] = 1.029240  err=-0.073809%
    [27/26 a*b*c 416/513 11/9] = 1.029240  err=-0.073809%

  Delta on |w|=1: need +3.0000e-02
  2-atom delta search (tol 0.5%):
    -(1+[Phi_res a*b r]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[r a*b Phi_res]) = -1.030000  d=3.0000e-02  err=-0.000000%
  3-atom delta search (tol 0.1%):
    -(1+[F_TRZ a/b/c Phi_res D_phys]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[F_TRZ a/b/c D_phys Phi_res]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[1-F_TRZ a*b/c r 27/25]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[r a*b/c 1-F_TRZ 27/25]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[27/25 a/b/c D_phys N_ch]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[27/25 a/b/c D_BSFG D_BSFG]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[27/25 a/b/c N_ch D_phys]) = -1.030000  d=3.0000e-02  err=-0.000000%
    -(1+[1-n_s a/b/c 27/25 27/25]) = -1.030007  d=3.0007e-02  err=+0.000666%
    -(1+[1-n_s a*b*c 27/26 33/40]) = -1.029986  d=2.9986e-02  err=-0.001400%
    -(1+[1-n_s a*b*c 33/40 27/26]) = -1.029986  d=2.9986e-02  err=-0.001400%
    -(1+[27/26 a*b*c 1-n_s 33/40]) = -1.029986  d=2.9986e-02  err=-0.001400%
    -(1+[27/26 a*b*c 33/40 1-n_s]) = -1.029986  d=2.9986e-02  err=-0.001400%

  BEST w_DE: -(1+[Phi_res a*b r]) = -1.030000, err = -0.000000%

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TRACK (c) -- Class XXXVII: Omega_b * h^2
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  observed Omega_b h^2 = 0.02237

  2-atom direct (tol 1%):
    [5/108 a/b K_Mex] = 0.02222222  err=-0.660607%

  3-atom direct (tol 0.3%):
    [beta_i a*b/c n_s D_crit] = 0.02237687  err=+0.030690%
    [n_s a*b/c beta_i D_crit] = 0.02237687  err=+0.030690%
    [SSq a*b/c r 1-F*P] = 0.02238545  err=+0.069086%
    [r a*b/c SSq 1-F*P] = 0.02238545  err=+0.069086%
    [D_crit a*b/c xi D_phys] = 0.02234375  err=-0.117345%
    [xi a*b/c D_crit D_phys] = 0.02234375  err=-0.117345%
    [beta_i a*b/c 1-n_s 307/325] = 0.02233872  err=-0.139823%
    [1-n_s a*b/c beta_i 307/325] = 0.02233872  err=-0.139823%
    [1-n_s a*b*c 137/200 243/260] = 0.02240740  err=+0.167205%
    [137/200 a*b*c 1-n_s 243/260] = 0.02240740  err=+0.167205%
    [1-n_s a*b*c 243/260 137/200] = 0.02240740  err=+0.167205%
    [243/260 a*b*c 1-n_s 137/200] = 0.02240740  err=+0.167205%
    [243/260 a*b*c 137/200 1-n_s] = 0.02240740  err=+0.167205%
    [137/200 a*b*c 243/260 1-n_s] = 0.02240740  err=+0.167205%
    [beta_i a/b/c D_crit 27/26] = 0.02232963  err=-0.180467%

  4-atom direct (tol 0.05%):
    [SSq a/(b*c*d) D_phys D_crit Y_p] = 0.02237049  err=+0.002175%
    [SSq a/(b*c*d) D_phys Y_p D_crit] = 0.02237049  err=+0.002175%
    [SSq a/(b*c*d) D_crit D_phys Y_p] = 0.02237049  err=+0.002175%
    [SSq a/(b*c*d) D_crit Y_p D_phys] = 0.02237049  err=+0.002175%
    [SSq a/(b*c*d) Y_p D_phys D_crit] = 0.02237049  err=+0.002175%
    [SSq a/(b*c*d) Y_p D_crit D_phys] = 0.02237049  err=+0.002175%
    [137/200 a/(b*c*d) A_5 Y_p K_Mex] = 0.02236735  err=-0.011860%
    [137/200 a/(b*c*d) Y_p A_5 K_Mex] = 0.02236735  err=-0.011860%
    [137/200 a/(b*c*d) K_Mex A_5 Y_p] = 0.02236735  err=-0.011860%
    [137/200 a/(b*c*d) K_Mex Y_p A_5] = 0.02236735  err=-0.011860%
    [137/200 a/(b*c*d) A_5 K_Mex Y_p] = 0.02236735  err=-0.011860%
    [137/200 a/(b*c*d) Y_p K_Mex A_5] = 0.02236735  err=-0.011860%
    [31/30 a/(b*c*d) A_5 22/9 63/200] = 0.02236652  err=-0.015546%
    [31/30 a/(b*c*d) A_5 63/200 22/9] = 0.02236652  err=-0.015546%
    [31/30 a/(b*c*d) 22/9 A_5 63/200] = 0.02236652  err=-0.015546%
    [31/30 a/(b*c*d) 22/9 63/200 A_5] = 0.02236652  err=-0.015546%
    [31/30 a/(b*c*d) 63/200 A_5 22/9] = 0.02236652  err=-0.015546%
    [31/30 a/(b*c*d) 63/200 22/9 A_5] = 0.02236652  err=-0.015546%
    [beta_i a*b*c/d r 307/325 1-F*P] = 0.02236616  err=-0.017181%
    [beta_i a*b*c/d 307/325 r 1-F*P] = 0.02236616  err=-0.017181%

  Seed: (1-n_s) = 0.03500;  Obh2/seed = 0.639143
  delta_b = -3.6086e-01 (sign=-)
    (1-n_s)*[1-Phi_res a/b/c 22/9 307/325] = 0.02236860  err=-0.006275%
    (1-n_s)*[1-Phi_res a/b/c 307/325 22/9] = 0.02236860  err=-0.006275%

  BEST Omega_b h^2: [SSq a/(b*c*d) D_phys D_crit Y_p] = 0.02237049, err = +0.002175%

classXXXIVb_sigma8_KiDS_session753: predicted=7.660003e-01 observed=7.660000e-01 error_pct=3.666979e-05 status=OK
classXXXVI_wDE_session753: predicted=-1.030000e+00 observed=-1.030000e+00 error_pct=-0.000000e+00 status=OK
classXXXVII_Omega_b_h2_session753: predicted=2.237049e-02 observed=2.237000e-02 error_pct=2.175486e-03 status=OK

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DECISION GATE
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  sigma_8(KiDS) push  err = +0.000037%
  w_DE                err = -0.000000%
  Omega_b h^2         err = +0.002175%

Artifact: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session753_result.json
