   q2   ratio
 G_E_p_Lagr/G_E_p_dipole
  -0  1
  -0.1  0.966315
  -0.2  0.962907
  -0.3  0.966105
  -0.4  0.969752
  -0.5  0.971658
  -0.6  0.971045
  -0.7  0.96774
  -0.8  0.961848
  -0.9  0.953602
  -1  0.943286
  -1.1  0.931198
  -1.2  0.917626
  -1.3  0.902839
  -1.4  0.88708
  -1.5  0.870567
  -1.6  0.85349
  -1.7  0.836013
  -1.8  0.818278
  -1.9  0.800406
  -2  0.782499
  -2.1  0.764642
  -2.2  0.746906
  -2.3  0.729348
  -2.4  0.712015
  -2.5  0.694946
  -2.6  0.678171
  -2.7  0.661711
  -2.8  0.645585
  -2.9  0.629805
  -3  0.614379
  -3.1  0.599312
  -3.2  0.584607
  -3.3  0.570263
  -3.4  0.556278
  -3.5  0.542648
  -3.6  0.529368
  -3.7  0.516433
  -3.8  0.503836
  -3.9  0.49157
  -4  0.479627
  -4.1  0.467998
  -4.2  0.456676
  -4.3  0.445652
  -4.4  0.434918
  -4.5  0.424465
  -4.6  0.414285
  -4.7  0.40437
  -4.8  0.394712
  -4.9  0.385302
  -5  0.376132
 G_M_p_Lagr/G_M_p_dipole
  -0  1
  -0.1  0.979592
  -0.2  0.972127
  -0.3  0.973023
  -0.4  0.978218
  -0.5  0.985455
  -0.6  0.993487
  -0.7  1.00162
  -0.8  1.00945
  -0.9  1.01678
  -1  1.02349
  -1.1  1.02955
  -1.2  1.03493
  -1.3  1.03966
  -1.4  1.04376
  -1.5  1.04726
  -1.6  1.05022
  -1.7  1.05265
  -1.8  1.05462
  -1.9  1.05614
  -2  1.05726
  -2.1  1.05802
  -2.2  1.05843
  -2.3  1.05854
  -2.4  1.05837
  -2.5  1.05794
  -2.6  1.05728
  -2.7  1.0564
  -2.8  1.05534
  -2.9  1.05409
  -3  1.05269
  -3.1  1.05115
  -3.2  1.04948
  -3.3  1.04769
  -3.4  1.04579
  -3.5  1.0438
  -3.6  1.04172
  -3.7  1.03957
  -3.8  1.03734
  -3.9  1.03506
  -4  1.03272
  -4.1  1.03033
  -4.2  1.0279
  -4.3  1.02543
  -4.4  1.02293
  -4.5  1.02041
  -4.6  1.01785
  -4.7  1.01528
  -4.8  1.0127
  -4.9  1.01009
  -5  1.00748
 G_E_n_Lagr25 
  -0  0
  -0.1  0.0376581
  -0.2  0.0529605
  -0.3  0.0573536
  -0.4  0.0572821
  -0.5  0.0554865
  -0.6  0.0530873
  -0.7  0.0505282
  -0.8  0.0479757
  -0.9  0.0454869
  -1  0.0430783
  -1.1  0.0407532
  -1.2  0.0385122
  -1.3  0.036356
  -1.4  0.0342857
  -1.5  0.0323031
  -1.6  0.0304097
  -1.7  0.0286065
  -1.8  0.0268936
  -1.9  0.0252706
  -2  0.0237363
  -2.1  0.0222887
  -2.2  0.0209254
  -2.3  0.0196433
  -2.4  0.0184392
  -2.5  0.0173096
  -2.6  0.0162509
  -2.7  0.0152592
  -2.8  0.0143309
  -2.9  0.0134623
  -3  0.0126499
  -3.1  0.01189
  -3.2  0.0111795
  -3.3  0.0105151
  -3.4  0.00989382
  -3.5  0.00931277
  -3.6  0.00876926
  -3.7  0.00826075
  -3.8  0.00778488
  -3.9  0.00733941
  -4  0.00692227
  -4.1  0.00653153
  -4.2  0.00616536
  -4.3  0.0058221
  -4.4  0.00550017
  -4.5  0.00519813
  -4.6  0.00491463
  -4.7  0.0046484
  -4.8  0.0043983
  -4.9  0.00416322
  -5  0.00394218
 G_E_n_Lagr43
  -0  0
  -0.1  0.0376437
  -0.2  0.0529624
  -0.3  0.0574391
  -0.4  0.0574379
  -0.5  0.0556677
  -0.6  0.0532509
  -0.7  0.0506447
  -0.8  0.04803
  -0.9  0.0454749
  -1  0.0430036
  -1.1  0.0406236
  -1.2  0.0383375
  -1.3  0.0361466
  -1.4  0.0340516
  -1.5  0.0320532
  -1.6  0.0301516
  -1.7  0.0283466
  -1.8  0.0266373
  -1.9  0.0250219
  -2  0.0234982
  -2.1  0.0220636
  -2.2  0.0207146
  -2.3  0.019448
  -2.4  0.0182598
  -2.5  0.0171462
  -2.6  0.0161033
  -2.7  0.0151271
  -2.8  0.0142138
  -2.9  0.0133595
  -3  0.0125606
  -3.1  0.0118135
  -3.2  0.0111149
  -3.3  0.0104617
  -3.4  0.00985069
  -3.5  0.00927918
  -3.6  0.00874444
  -3.7  0.00824398
  -3.8  0.00777546
  -3.9  0.00733667
  -4  0.0069256
  -4.1  0.00654033
  -4.2  0.0061791
  -4.3  0.00584027
  -4.4  0.0055223
  -4.5  0.00522378
  -4.6  0.00494339
  -4.7  0.00467991
  -4.8  0.00443221
  -4.9  0.00419922
  -5  0.00397998
 G_M_n_Lagr25/G_M_n_dipole
  -0  1
  -0.1  0.966574
  -0.2  0.964376
  -0.3  0.976498
  -0.4  0.992967
  -0.5  1.00967
  -0.6  1.02487
  -0.7  1.03791
  -0.8  1.04861
  -0.9  1.05702
  -1  1.06332
  -1.1  1.06771
  -1.2  1.07042
  -1.3  1.07166
  -1.4  1.07162
  -1.5  1.07048
  -1.6  1.06841
  -1.7  1.06555
  -1.8  1.06201
  -1.9  1.0579
  -2  1.05333
  -2.1  1.04836
  -2.2  1.04307
  -2.3  1.03752
  -2.4  1.03176
  -2.5  1.02584
  -2.6  1.0198
  -2.7  1.01366
  -2.8  1.00745
  -2.9  1.00121
  -3  0.994948
  -3.1  0.988686
  -3.2  0.982438
  -3.3  0.976217
  -3.4  0.970035
  -3.5  0.9639
  -3.6  0.957819
  -3.7  0.9518
  -3.8  0.945848
  -3.9  0.939966
  -4  0.934159
  -4.1  0.928429
  -4.2  0.922779
  -4.3  0.917209
  -4.4  0.911721
  -4.5  0.906316
  -4.6  0.900994
  -4.7  0.895756
  -4.8  0.890601
  -4.9  0.885528
  -5  0.880538
 G_M_n_Lagr43/G_M_n_dipole 
  -0  1
  -0.1  0.964892
  -0.2  0.961626
  -0.3  0.974469
  -0.4  0.992002
  -0.5  1.00949
  -0.6  1.02503
  -0.7  1.03794
  -0.8  1.04812
  -0.9  1.05572
  -1  1.06099
  -1.1  1.06421
  -1.2  1.06569
  -1.3  1.06568
  -1.4  1.06442
  -1.5  1.06212
  -1.6  1.05897
  -1.7  1.05512
  -1.8  1.05071
  -1.9  1.04584
  -2  1.04063
  -2.1  1.03514
  -2.2  1.02946
  -2.3  1.02363
  -2.4  1.0177
  -2.5  1.01171
  -2.6  1.0057
  -2.7  0.9997
  -2.8  0.993722
  -2.9  0.98779
  -3  0.981918
  -3.1  0.976117
  -3.2  0.970399
  -3.3  0.964769
  -3.4  0.959235
  -3.5  0.953799
  -3.6  0.948466
  -3.7  0.943237
  -3.8  0.938113
  -3.9  0.933095
  -4  0.928182
  -4.1  0.923374
  -4.2  0.91867
  -4.3  0.914068
  -4.4  0.909567
  -4.5  0.905165
  -4.6  0.900861
  -4.7  0.896651
  -4.8  0.892534
  -4.9  0.888508
  -5  0.88457
 F_A_Lagr25_dip/G_M_n_dipole 
  -0  1
  -0.1  0.944868
  -0.2  1.01035
  -0.3  1.04059
  -0.4  1.04903
  -0.5  1.0479
  -0.6  1.04395
  -0.7  1.04048
  -0.8  1.03894
  -0.9  1.0398
  -1  1.04307
  -1.1  1.04849
  -1.2  1.05574
  -1.3  1.06448
  -1.4  1.07436
  -1.5  1.08511
  -1.6  1.09646
  -1.7  1.10819
  -1.8  1.12012
  -1.9  1.13211
  -2  1.14402
  -2.1  1.15577
  -2.2  1.16727
  -2.3  1.17847
  -2.4  1.18932
  -2.5  1.19979
  -2.6  1.20986
  -2.7  1.2195
  -2.8  1.22872
  -2.9  1.2375
  -3  1.24586
  -3.1  1.25378
  -3.2  1.26128
  -3.3  1.26837
  -3.4  1.27505
  -3.5  1.28135
  -3.6  1.28726
  -3.7  1.29281
  -3.8  1.298
  -3.9  1.30286
  -4  1.30738
  -4.1  1.3116
  -4.2  1.31551
  -4.3  1.31914
  -4.4  1.32249
  -4.5  1.32558
  -4.6  1.32842
  -4.7  1.33102
  -4.8  1.33339
  -4.9  1.33554
  -5  1.33749
