Minimized function has error status

Roofit and RooStats
, ,
1

Hello Experts,
I am using Roofit to fit my data where I am using tow Gaussian + Polynomial. I notice if I limit the Polynomial function from -100 to 100 I get error as “Minimized function has error status”. But at the end the fitting looks fine. I want to make sure if the fitting that end up with status=OK means it is correct. I am also wondering if there is away to avoid these errors.
Bellow a part of the output of my fitting to see what I mean.

[#0] WARNING:InputArguments -- The parameter 'gaus_sigma' with range [-1e+30, 1e+30] of the RooGaussian 'gaus' exceeds the safe range of (0, inf). Advise to limit its range.
[#0] WARNING:InputArguments -- The parameter 'gaus_sigma2' with range [-1e+30, 1e+30] of the RooGaussian 'gaus2' exceeds the safe range of (0, inf). Advise to limit its range.
[#1] INFO:Minimization -- p.d.f. provides expected number of events, including extended term in likelihood.
[#1] INFO:Minimization -- RooAbsMinimizerFcn::setOptimizeConst: activating const optimization
[#1] INFO:Minimization --  The following expressions have been identified as constant and will be precalculated and cached: (gaus,gaus2)
[#1] INFO:Minimization --  The following expressions will be evaluated in cache-and-track mode: (poly)
 **********
 **    1 **SET PRINT           1
 **********
 **********
 **    2 **SET NOGRAD
 **********
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     1 BG_gaus      5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM1 TOO FAR APART.
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     2 BG_poly      5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM2 TOO FAR APART.
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     3 Sig_gaus     5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM3 TOO FAR APART.
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     4 p1           1.00000e+00  2.00000e+01   -1.00000e+02  1.00000e+02
     5 p2           1.00000e+00  2.00000e+01   -1.00000e+02  1.00000e+02
     6 p3           1.00000e+00  2.00000e+01   -1.00000e+02  1.00000e+02
     7 p4           1.00000e+00  2.00000e+01   -1.00000e+02  1.00000e+02
     8 p5           1.00000e+00  2.00000e+01   -1.00000e+02  1.00000e+02
 **********
 **    3 **SET ERR         0.5
 **********
 **********
 **    4 **SET PRINT           1
 **********
 **********
 **    5 **SET STR           1
 **********
 NOW USING STRATEGY  1: TRY TO BALANCE SPEED AGAINST RELIABILITY
 **********
 **    6 **MIGRAD        4000           1
 **********
 FIRST CALL TO USER FUNCTION AT NEW START POINT, WITH IFLAG=4.
 START MIGRAD MINIMIZATION.  STRATEGY  1.  CONVERGENCE WHEN EDM .LT. 1.00e-03
RooAbsMinimizerFcn: Minimized function has error status.
Returning maximum FCN so far (-517208) to force MIGRAD to back out of this region. Error log follows.
Parameter values: 	BG_gaus=500000	BG_poly=500000	Sig_gaus=500000	p1=-6.73355	p2=1	p3=1	p4=1	p5=1
RooAddPdf::pdf_model[ Sig_gaus * gaus + BG_gaus * gaus2 + BG_poly * poly ]
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 1.91678e-27/0.12117,gaus2 = 2.66622e-17/0.236865,poly = -1.45883/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 1.91678e-27/0.12117,gaus2 = 2.66622e-17/0.236865,poly = -1.45883/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 1.86134e-26/0.12117,gaus2 = 6.68296e-17/0.236865,poly = -1.50875/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 1.86134e-26/0.12117,gaus2 = 6.68296e-17/0.236865,poly = -1.50875/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 1.54376e-24/0.12117,gaus2 = 4.05999e-16/0.236865,poly = -1.60617/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 1.54376e-24/0.12117,gaus2 = 4.05999e-16/0.236865,poly = -1.60617/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 1.31849e-23/0.12117,gaus2 = 9.84029e-16/0.236865,poly = -1.65362/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 1.31849e-23/0.12117,gaus2 = 9.84029e-16/0.236865,poly = -1.65362/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 1.07892e-22/0.12117,gaus2 = 2.35846e-15/0.236865,poly = -1.70018/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 1.07892e-22/0.12117,gaus2 = 2.35846e-15/0.236865,poly = -1.70018/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     p.d.f value is Not-a-Number @ !refCoefNorm=(), !pdfs=(gaus = 8.45899e-22/0.12117,gaus2 = 5.58966e-15/0.236865,poly = -1.74584/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
     getLogVal() top-level p.d.f evaluates to NaN @ !refCoefNorm=(), !pdfs=(gaus = 8.45899e-22/0.12117,gaus2 = 5.58966e-15/0.236865,poly = -1.74584/0.986367), !coefficients=(Sig_gaus = 500000,BG_gaus = 500000,BG_poly = 500000)
    ... (remaining 138 messages suppressed)
RooPolynomial::poly[ x=x coefList=(p1,p2,p3,p4,p5) ]
     p.d.f value is less than zero (-1.458831), trying to recover @ x=x=0.405, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.508753), trying to recover @ x=x=0.415, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.606174), trying to recover @ x=x=0.435, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.653619), trying to recover @ x=x=0.445, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.700183), trying to recover @ x=x=0.455, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.745837), trying to recover @ x=x=0.465, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.790551), trying to recover @ x=x=0.475, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.834295), trying to recover @ x=x=0.485, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.877038), trying to recover @ x=x=0.495, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.918747), trying to recover @ x=x=0.505, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-1.998932), trying to recover @ x=x=0.525, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
     p.d.f value is less than zero (-2.037338), trying to recover @ x=x=0.535, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)
    ... (remaining 64 messages suppressed)
RooNLLVar::nll_pdf_model_hist[ paramSet=(BG_gaus,BG_poly,Sig_gaus,gaus_mean,gaus_mean2,gaus_sigma,gaus_sigma2,p1,p2,p3,p4,p5) ]

And here what I get at the end:

function value is NAN @ paramSet=(BG_gaus = 2.57908,BG_poly = 144467,Sig_gaus = 5709.41,gaus_mean = 0.9412,gaus_mean2 = 1.2306,gaus_sigma = 0.04834,gaus_sigma2 = 0.0945,p1 = -0.943748,p2 = 0.523484,p3 = -7.23497,p4 = -18.8805,p5 = 45.9394)

 MIGRAD FAILS TO FIND IMPROVEMENT
 MIGRAD MINIMIZATION HAS CONVERGED.
 FCN=-1.71879e+06 FROM MIGRAD    STATUS=CONVERGED    1790 CALLS        1791 TOTAL
                     EDM=0.000269182    STRATEGY= 1  ERROR MATRIX UNCERTAINTY   3.5 per cent
  EXT PARAMETER                                   STEP         FIRST   
  NO.   NAME      VALUE            ERROR          SIZE      DERIVATIVE 
   1  BG_gaus      8.92208e+02   2.19996e+02   0.00000e+00  -2.13366e+01
   2  BG_poly      1.42792e+05   4.48308e+02   0.00000e+00   2.48078e+01
   3  Sig_gaus     6.08229e+03   1.16974e+02   0.00000e+00  -3.66262e+01
   4  p1          -6.01991e-01   4.08056e-02  -0.00000e+00  -4.12706e+02
   5  p2           1.00179e+00   5.03526e-02  -0.00000e+00  -2.84917e+02
   6  p3          -6.76487e+00   1.15283e-01   0.00000e+00  -1.18203e+02
   7  p4          -1.98399e+01   2.73289e-01   0.00000e+00  -5.66801e+01
   8  p5           4.11571e+01   6.52713e-01   0.00000e+00  -4.90629e+01
                               ERR DEF= 0.5
 EXTERNAL ERROR MATRIX.    NDIM=  25    NPAR=  8    ERR DEF=0.5
  4.840e+04  4.770e+04  7.373e+03 -4.827e+00 -3.831e+00  3.026e+00  2.706e+01  1.415e+01 
  4.770e+04  2.010e+05  1.514e+04 -7.312e+00 -5.341e+00  6.397e+00  4.386e+01  1.201e+01 
  7.373e+03  1.514e+04  1.368e+04 -2.324e+00 -2.151e+00  4.042e-01  1.179e+01  1.426e+01 
 -4.827e+00 -7.312e+00 -2.324e+00  1.665e-03  1.499e-03 -4.535e-04 -8.773e-03 -9.710e-03 
 -3.831e+00 -5.341e+00 -2.151e+00  1.499e-03  2.535e-03  3.504e-03 -2.183e-03 -2.952e-02 
  3.026e+00  6.397e+00  4.042e-01 -4.535e-04  3.504e-03  1.329e-02  2.161e-02 -6.690e-02 
  2.706e+01  4.386e+01  1.179e+01 -8.773e-03 -2.183e-03  2.161e-02  7.469e-02 -5.065e-02 
  1.415e+01  1.201e+01  1.426e+01 -9.710e-03 -2.952e-02 -6.690e-02 -5.065e-02  4.260e-01 
 PARAMETER  CORRELATION COEFFICIENTS  
       NO.  GLOBAL      1      2      3      4      5      6      7      8
        1  0.88272   1.000  0.484  0.287 -0.538 -0.346  0.119  0.450  0.099
        2  0.67279   0.484  1.000  0.289 -0.400 -0.237  0.124  0.358  0.041
        3  0.52211   0.287  0.289  1.000 -0.487 -0.365  0.030  0.369  0.187
        4  0.99903  -0.538 -0.400 -0.487  1.000  0.730 -0.096 -0.787 -0.365
        5  0.99801  -0.346 -0.237 -0.365  0.730  1.000  0.604 -0.159 -0.898
        6  0.99845   0.119  0.124  0.030 -0.096  0.604  1.000  0.686 -0.889
        7  0.99879   0.450  0.358  0.369 -0.787 -0.159  0.686  1.000 -0.284
        8  0.99956   0.099  0.041  0.187 -0.365 -0.898 -0.889 -0.284  1.000
 **********
 **    7 **SET ERR         0.5
 **********
 **********
 **    8 **SET PRINT           1
 **********
 **********
 **    9 **HESSE        4000
 **********
 COVARIANCE MATRIX CALCULATED SUCCESSFULLY
 FCN=-1.71879e+06 FROM HESSE     STATUS=OK             75 CALLS        1866 TOTAL
                     EDM=0.021725    STRATEGY= 1      ERROR MATRIX ACCURATE 
  EXT PARAMETER                                INTERNAL      INTERNAL  
  NO.   NAME      VALUE            ERROR       STEP SIZE       VALUE   
   1  BG_gaus      8.92208e+02   2.57865e+02   1.39644e-03  -1.58415e+00
   2  BG_poly      1.42792e+05   4.65829e+02   2.05669e-04  -1.40160e+00
   3  Sig_gaus     6.08229e+03   1.11095e+02   2.67661e-04  -1.60568e+00
   4  p1          -6.01991e-01   5.47398e-02   2.41968e-04  -6.01994e-03
   5  p2           1.00179e+00   1.05145e-01   4.15545e-04   1.00181e-02
   6  p3          -6.76487e+00   1.88770e-01   6.94784e-04  -6.77004e-02
   7  p4          -1.98399e+01   3.10851e-01   1.16016e-03  -1.99724e-01
   8  p5           4.11571e+01   4.89434e-01   2.16050e-03   4.24177e-01
                               ERR DEF= 0.5
 EXTERNAL ERROR MATRIX.    NDIM=  25    NPAR=  8    ERR DEF=0.5
  6.649e+04  6.686e+04  4.488e+03 -2.314e+00 -3.036e+00 -1.900e-01  1.255e+01  2.302e+01 
  6.686e+04  2.170e+05  1.055e+04 -3.102e+00 -3.860e+00  7.019e-02  1.643e+01  3.127e+01 
  4.488e+03  1.055e+04  1.234e+04 -9.004e-01 -9.713e-01  2.515e-01  4.486e+00  9.358e+00 
 -2.314e+00 -3.102e+00 -9.004e-01  2.996e-03 -2.206e-03 -2.701e-03 -2.349e-03 -6.904e-04 
 -3.036e+00 -3.860e+00 -9.713e-01 -2.206e-03  1.106e-02 -5.131e-03 -6.650e-03 -7.272e-03 
 -1.900e-01  7.019e-02  2.515e-01 -2.701e-03 -5.131e-03  3.563e-02 -1.670e-02 -2.447e-02 
  1.255e+01  1.643e+01  4.486e+00 -2.349e-03 -6.650e-03 -1.670e-02  9.663e-02 -6.120e-02 
  2.302e+01  3.127e+01  9.358e+00 -6.904e-04 -7.272e-03 -2.447e-02 -6.120e-02  2.395e-01 
 PARAMETER  CORRELATION COEFFICIENTS  
       NO.  GLOBAL      1      2      3      4      5      6      7      8
        1  0.60004   1.000  0.557  0.157 -0.164 -0.112 -0.004  0.157  0.182
        2  0.57063   0.557  1.000  0.204 -0.122 -0.079  0.001  0.113  0.137
        3  0.37233   0.157  0.204  1.000 -0.148 -0.083  0.012  0.130  0.172
        4  0.87253  -0.164 -0.122 -0.148  1.000 -0.383 -0.261 -0.138 -0.026
        5  0.89955  -0.112 -0.079 -0.083 -0.383  1.000 -0.259 -0.203 -0.141
        6  0.91392  -0.004  0.001  0.012 -0.261 -0.259  1.000 -0.285 -0.265
        7  0.91461   0.157  0.113  0.130 -0.138 -0.203 -0.285  1.000 -0.402
        8  0.89567   0.182  0.137  0.172 -0.026 -0.141 -0.265 -0.402  1.000
[#1] INFO:Minimization -- RooAbsMinimizerFcn::setOptimizeConst: deactivating const optimization

  RooFitResult: minimized FCN value: -1.71879e+06, estimated distance to minimum: 0.021725
                covariance matrix quality: Full, accurate covariance matrix
                Status : MINIMIZE=0 HESSE=0 

    Floating Parameter    FinalValue +/-  Error   
  --------------------  --------------------------
               BG_gaus    8.9221e+02 +/-  2.58e+02
               BG_poly    1.4279e+05 +/-  4.66e+02
              Sig_gaus    6.0823e+03 +/-  1.11e+02
                    p1   -6.0199e-01 +/-  5.47e-02
                    p2    1.0018e+00 +/-  1.05e-01
                    p3   -6.7649e+00 +/-  1.89e-01
                    p4   -1.9840e+01 +/-  3.11e-01
                    p5    4.1157e+01 +/-  4.89e-01

[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) directly selected PDF components: (gaus)
[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) indirectly selected PDF components: ()
[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) directly selected PDF components: (poly)
[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) indirectly selected PDF components: ()
[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) directly selected PDF components: (gaus2)
[#1] INFO:Plotting -- RooAbsPdf::plotOn(pdf_model) indirectly selected PDF components: ()
Info in <TCanvas::Print>: Current canvas added to pdf file fit_expPmm23PolyP.pdf
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2

Hello @lamya86,

you should check the warnings and errors in the log.

I see this one here:

[#0] WARNING:InputArguments -- The parameter 'gaus_sigma' with range [-1e+30, 1e+30] of the RooGaussian 'gaus' exceeds the safe range of (0, inf). Advise to limit its range.
[#0] WARNING:InputArguments -- The parameter 'gaus_sigma2' with range [-1e+30, 1e+30] of the RooGaussian 'gaus2' exceeds the safe range of (0, inf). Advise to limit its range.

You have to set the range of your parameters to something reasonable, otherwise the minimization can end up in undefined regions and you get the non-OK fit status.

There is also this one here:

 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     1 BG_gaus      5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM1 TOO FAR APART.
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     2 BG_poly      5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM2 TOO FAR APART.
 PARAMETER DEFINITIONS:
    NO.   NAME         VALUE      STEP SIZE      LIMITS
     3 Sig_gaus     5.00000e+05  2.50000e+05    0.00000e+00  2.00000e+07
 MINUIT WARNING IN PARAM DEF
 ============== LIMITS ON PARAM3 TOO FAR APART.

You should also set the limits on these parameters such that they are not too far apart for the minimizer to handle.

Finally there are these warnings here:

RooPolynomial::poly[ x=x coefList=(p1,p2,p3,p4,p5) ]
     p.d.f value is less than zero (-1.458831), trying to recover @ x=x=0.405, coefList=(p1 = -6.73355,p2 = 1,p3 = 1,p4 = 1,p5 = 1)

So you also have the problem that within your parameter ranges, the polynomial can become negative which is not allowed for a pdf. So besides changing the parameter ranges, it will probably help to change the initial parameter values such that the minimization doesn’t use parameter values for which the polynomial gets negative.

So if you set the initial parameter ranges and values correctly, everything should be fine!

Cheers,
Jonas

3

Hi jonas,
Thanks @jonas for your explanation, I am not sure why I couldn’t get ride of the first warning which is this one :

[#0] WARNING:InputArguments -- The parameter 'gaus_sigma2' with range [-1e+30, 1e+30] of the RooGaussian 'gaus2' exceeds the safe range of (0, inf). Advise to limit its range.

I have changed the range many times and I tried to fix the sigma but still the warring show. Is that mean there is something wrong in my code?
I have attached my code with my root file.
I really appreciate your help
testfitting.py (37.2 KB)
firstDataRunNeutronEffCodeNoMMCutv3.root (286.4 KB)

4

Hi @lamya86!

So if you follow my suggestions from the previous post you can solve your problem and get to status 0.

In your script, I only had to change two things:

  1. Update the ranges of the RooPolynomial parameters such that the polynomial doesn’t get negative:

                 p1 = RooRealVar("p1", "p1", 1, -100, 100)    
             p2 = RooRealVar("p2", "p2", 1, 0.001, 100)    
             p3 = RooRealVar("p3", "p3", 1, 0.001, 100)    
             p4 = RooRealVar("p4", "p4", 1, 0.001, 100)    
             p5 = RooRealVar("p5", "p5", 1, 0.001, 100)    
             p6 = RooRealVar("p6", "p6", 0, 0.001, 100)

  2. Change the ranges of gaus_sigma and gaus_sigma2 to not be negative. I changed the range to be be from 0.01 times to 100 times the starting value:

    gaus_sigma = RooRealVar("gaus_sigma", "gaus_sigma",
    detfixsig1[0], detfixsig1[0] * 0.01, detfixsig1[0] * 100)

    and

    gaus_sigma2 = RooRealVar("gaus_sigma2", "gaus_sigma2",
    detfixsig2[0], detfixsig2[0] * 0.01, detfixsig2[0] * 100)

Here is the file after the update (I also applied some code formatting):
testfitting_fixed.py (37.0 KB)

Here is the output I have now, all looks good (also the plot)P

  RooFitResult: minimized FCN value: -251385, estimated distance to minimum: 0.00162463
                covariance matrix quality: Full matrix, but forced positive-definite
                Status : MINIMIZE=0 HESSE=0 

    Floating Parameter    FinalValue +/-  Error   
  --------------------  --------------------------
               BG_gaus    2.8948e+03 +/-  2.88e+02
               BG_poly    1.9046e+04 +/-  5.93e+02
              Sig_gaus    4.5775e+03 +/-  3.58e+02
            gaus_mean2    1.1418e+00 +/-  4.90e-03
            gaus_sigma    6.0187e-02 +/-  3.85e-03
                    p1   -2.3877e+00 +/-  6.33e-01
                    p2    1.0000e-03 +/-  3.80e-01
                    p3    1.0129e-03 +/-  7.53e-01
                    p4    1.0031e-03 +/-  1.77e+00
                    p5    9.8328e+00 +/-  1.01e+01

I hope this helps!

1 Like
5

Thanks a lot @jonas

6

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