Integrated Gradient Field Ratios Terms for hardat.ru4 at radius 0.02697 m. 
  where Integrated Gradient Field Ratios = abs(Bn/B2*sin(-n*theta_south_pole )) 


 For    Imag =   46.89650 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.04519
      4                        0.01997
      5                        0.00586
      6                        0.17844
      7                        0.00475
      8                        0.00090
      9                        0.00035
     10                        0.00423
     11                        0.01203
     12                        0.03827
     13                        0.00001
     14                        0.00699
     15                        0.00164
     16                        0.06945

 For    Imag =   70.93746 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.04398
      4                        0.02191
      5                        0.00648
      6                        0.17620
      7                        0.00483
      8                        0.00307
      9                        0.00348
     10                        0.00289
     11                        0.01201
     12                        0.03924
     13                        0.00038
     14                        0.00707
     15                        0.00171
     16                        0.06977

 For    Imag =   95.01700 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.04225
      4                        0.02146
      5                        0.00437
      6                        0.17869
      7                        0.00422
      8                        0.00250
      9                        0.00166
     10                        0.00821
     11                        0.01285
     12                        0.03543
     13                        0.00131
     14                        0.00537
     15                        0.00305
     16                        0.07172

 For    Imag =  119.92229 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.04059
      4                        0.02129
      5                        0.00463
      6                        0.17561
      7                        0.00015
      8                        0.00141
      9                        0.00283
     10                        0.00234
     11                        0.00095
     12                        0.03839
     13                        0.00150
     14                        0.00643
     15                        0.00080
     16                        0.06943

 For    Imag =  150.00842 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.03875
      4                        0.02116
      5                        0.00584
      6                        0.17262
      7                        0.00171
      8                        0.00085
      9                        0.00486
     10                        0.00443
     11                        0.00352
     12                        0.04117
     13                        0.00114
     14                        0.00536
     15                        0.00149
     16                        0.07048

 For    Imag =  175.09634 

      n         Integrated Gradient Field Ratio Terms     
                                 %                      
  ---------     -------------------------------------    
      3                        0.03742
      4                        0.02021
      5                        0.00448
      6                        0.17545
      7                        0.00382
      8                        0.00107
      9                        0.00035
     10                        0.00181
     11                        0.00112
     12                        0.03782
     13                        0.00002
     14                        0.00635
     15                        0.00031
     16                        0.06929