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Geant4/particles/management/src/G4NucleiPropertiesTableAME12.cc

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Differences between /particles/management/src/G4NucleiPropertiesTableAME12.cc (Version 11.3.0) and /particles/management/src/G4NucleiPropertiesTableAME12.cc (Version 10.0.p2)


  1 //                                                  1 
  2 // *******************************************    
  3 // * License and Disclaimer                       
  4 // *                                              
  5 // * The  Geant4 software  is  copyright of th    
  6 // * the Geant4 Collaboration.  It is provided    
  7 // * conditions of the Geant4 Software License    
  8 // * LICENSE and available at  http://cern.ch/    
  9 // * include a list of copyright holders.         
 10 // *                                              
 11 // * Neither the authors of this software syst    
 12 // * institutes,nor the agencies providing fin    
 13 // * work  make  any representation or  warran    
 14 // * regarding  this  software system or assum    
 15 // * use.  Please see the license in the file     
 16 // * for the full disclaimer and the limitatio    
 17 // *                                              
 18 // * This  code  implementation is the result     
 19 // * technical work of the GEANT4 collaboratio    
 20 // * By using,  copying,  modifying or  distri    
 21 // * any work based  on the software)  you  ag    
 22 // * use  in  resulting  scientific  publicati    
 23 // * acceptance of all terms of the Geant4 Sof    
 24 // *******************************************    
 25 //                                                
 26 // G4NucleiPropertiesTableAME12 class implemen    
 27 //                                                
 28 // Data updated to AME2012                        
 29 //   "The Ame2012 atomic mass evaluation (I)"     
 30 //    by G.Audi, M.Wang, A.H.Wapstra, F.G.Kond    
 31 //       M.MacCormick, X.Xu, and B.Pfeiffer       
 32 //    Chinese Physics C36 p. 1287-1602, Decemb    
 33 //   "The Ame2012 atomic mass evaluation (II)"    
 34 //    by M.Wang, G.Audi, A.H.Wapstra, F.G.Kond    
 35 //       M.MacCormick, X.Xu, and B.Pfeiffer       
 36 //    Chinese Physics C36 p. 1603-2014, Decemb    
 37 //                                                
 38 // Author: Tatsumi Koi, SLAC - August 2016        
 39 // -------------------------------------------    
 40                                                   
 41 #include "G4NucleiPropertiesTableAME12.hh"        
 42                                                   
 43 #include "G4PhysicalConstants.hh"                 
 44 #include "G4SystemOfUnits.hh"                     
 45 #include "G4ios.hh"                               
 46                                                   
 47 G4ThreadLocal G4bool G4NucleiPropertiesTableAM    
 48 G4ThreadLocal G4double G4NucleiPropertiesTable    
 49                                                   
 50 // Determine the table index for a Nuclide wit    
 51 //                                                
 52 G4int G4NucleiPropertiesTableAME12::GetIndex(G    
 53 {                                                 
 54   if (A > G4NucleiPropertiesTableAME12::MaxA)     
 55     G4Exception("G4NucleiPropertiesTableAME12:    
 56                 "Nucleon number larger than 29    
 57     return -1;                                    
 58   }                                               
 59   if (A < 1) {                                    
 60     G4Exception("G4NucleiPropertiesTableAME12:    
 61                 EventMustBeAborted, " Nucleon     
 62     return -1;                                    
 63   }                                               
 64   if (Z > A) {                                    
 65     G4Exception("G4NucleiPropertiesTableAME12:    
 66                 "Nucleon number smaller than Z    
 67     return -1;                                    
 68   }                                               
 69                                                   
 70   for (G4int i = shortTable[A - 1]; i < shortT    
 71     if (indexArray[0][i] == Z) return i;          
 72   }                                               
 73   return -1;                                      
 74 }                                                 
 75                                                   
 76 G4int G4NucleiPropertiesTableAME12::MinZ(G4int    
 77 {                                                 
 78   G4int i = shortTable[A - 1];                    
 79   return indexArray[0][i];                        
 80 }                                                 
 81                                                   
 82 G4int G4NucleiPropertiesTableAME12::MaxZ(G4int    
 83 {                                                 
 84   G4int i = shortTable[A] - 1;                    
 85   return indexArray[0][i];                        
 86 }                                                 
 87                                                   
 88 G4double G4NucleiPropertiesTableAME12::GetNucl    
 89 {                                                 
 90   if (!isIntialized) {                            
 91     // calculate electron mass in orbit with b    
 92     isIntialized = true;                          
 93     for (G4int iz = 1; iz < ZMax; iz += 1) {      
 94       electronMass[iz] = iz * electron_mass_c2    
 95                          - (1.55468 * 1e-6 * s    
 96     }                                             
 97   }                                               
 98                                                   
 99   G4double nuclearMass = GetAtomicMass(Z, A) -    
100                                                   
101   if (nuclearMass < 0.0) nuclearMass = 0.0;       
102                                                   
103   return nuclearMass;                             
104 }                                                 
105                                                   
106 G4double G4NucleiPropertiesTableAME12::GetMass    
107 {                                                 
108   G4int i = GetIndex(Z, A);                       
109   if (i >= 0) {                                   
110     return MassExcess[i] * keV;                   
111   }                                               
112                                                   
113   return 0.0;                                     
114 }                                                 
115                                                   
116 G4double G4NucleiPropertiesTableAME12::GetBind    
117 {                                                 
118   G4int i = GetIndex(Z, A);                       
119   if (i >= 0) {                                   
120     return (G4double(A - Z) * MassExcess[0] +     
121   }                                               
122                                                   
123   return 0.0;                                     
124 }                                                 
125                                                   
126 G4double G4NucleiPropertiesTableAME12::GetBeta    
127 {                                                 
128   G4int i = GetIndex(Z, A);                       
129   if (i >= 0) {                                   
130     return BetaEnergy[i] * keV;                   
131   }                                               
132                                                   
133   return 0.0;                                     
134 }                                                 
135                                                   
136 G4double G4NucleiPropertiesTableAME12::GetAtom    
137 {                                                 
138   G4int i = GetIndex(Z, A);                       
139   if (i >= 0) {                                   
140     return MassExcess[i] * keV + G4double(A) *    
141   }                                               
142                                                   
143   return 0.0;                                     
144 }                                                 
145                                                   
146 G4bool G4NucleiPropertiesTableAME12::IsInTable    
147 {                                                 
148   return (Z <= A && A >= 1 && A <= 273 && Z >=    
149 }                                                 
150                                                   
151 // clang-format off                               
152 //+-------------------------------------------    
153 //| Table of Z (number of protons) and A (numb    
154 //|        indexArray[0][ ] --> Z                 
155 //|        indexArray[1][ ] --> A                 
156 //+-------------------------------------------    
157                                                   
158 const G4int G4NucleiPropertiesTableAME12::inde    
159   // ---------- Z ----------                      
160   {                                               
161                                                   
162    0,   1,   1,   1,   2,   3,   1,   2,   3,     
163    2,   3,   4,   1,   2,   3,   4,   5,   1,     
164    3,   4,   5,   2,   3,   4,   5,   6,   2,     
165    4,   5,   6,   2,   3,   4,   5,   6,   7,     
166    4,   5,   6,   7,   3,   4,   5,   6,   7,     
167    3,   4,   5,   6,   7,   8,   4,   5,   6,     
168    8,   9,   4,   5,   6,   7,   8,   9,   4,     
169    6,   7,   8,   9,  10,   5,   6,   7,   8,     
170   10,   5,   6,   7,   8,   9,  10,  11,   5,     
171    7,   8,   9,  10,  11,  12,   5,   6,   7,     
172    9,  10,  11,  12,   5,   6,   7,   8,   9,     
173   11,  12,  13,   6,   7,   8,   9,  10,  11,     
174   13,  14,   6,   7,   8,   9,  10,  11,  12,     
175   14,   7,   8,   9,  10,  11,  12,  13,  14,     
176    7,   8,   9,  10,  11,  12,  13,  14,  15,     
177    9,  10,  11,  12,  13,  14,  15,  16,   8,     
178   10,  11,  12,  13,  14,  15,  16,   8,   9,     
179   11,  12,  13,  14,  15,  16,  17,   9,  10,     
180   12,  13,  14,  15,  16,  17,   9,  10,  11,     
181   13,  14,  15,  16,  17,  18,   9,  10,  11,     
182   13,  14,  15,  16,  17,  18,  10,  11,  12,     
183   14,  15,  16,  17,  18,  19,  10,  11,  12,     
184   14,  15,  16,  17,  18,  19,  10,  11,  12,     
185   14,  15,  16,  17,  18,  19,  20,  11,  12,     
186   14,  15,  16,  17,  18,  19,  20,  11,  12,     
187   14,  15,  16,  17,  18,  19,  20,  21,  11,     
188   13,  14,  15,  16,  17,  18,  19,  20,  21,     
189   13,  14,  15,  16,  17,  18,  19,  20,  21,     
190   12,  13,  14,  15,  16,  17,  18,  19,  20,     
191   22,  12,  13,  14,  15,  16,  17,  18,  19,     
192   21,  22,  23,  13,  14,  15,  16,  17,  18,     
193   20,  21,  22,  23,  13,  14,  15,  16,  17,     
194   19,  20,  21,  22,  23,  24,  13,  14,  15,     
195   17,  18,  19,  20,  21,  22,  23,  24,  14,     
196   16,  17,  18,  19,  20,  21,  22,  23,  24,     
197   14,  15,  16,  17,  18,  19,  20,  21,  22,     
198   24,  25,  26,  15,  16,  17,  18,  19,  20,     
199   22,  23,  24,  25,  26,  15,  16,  17,  18,     
200   20,  21,  22,  23,  24,  25,  26,  27,  16,     
201   18,  19,  20,  21,  22,  23,  24,  25,  26,     
202   28,  16,  17,  18,  19,  20,  21,  22,  23,     
203   25,  26,  27,  28,  17,  18,  19,  20,  21,     
204   23,  24,  25,  26,  27,  28,  17,  18,  19,     
205   21,  22,  23,  24,  25,  26,  27,  28,  18,     
206   20,  21,  22,  23,  24,  25,  26,  27,  28,     
207   18,  19,  20,  21,  22,  23,  24,  25,  26,     
208   28,  29,  19,  20,  21,  22,  23,  24,  25,     
209   27,  28,  29,  30,  19,  20,  21,  22,  23,     
210   25,  26,  27,  28,  29,  30,  19,  20,  21,     
211   23,  24,  25,  26,  27,  28,  29,  30,  31,     
212   21,  22,  23,  24,  25,  26,  27,  28,  29,     
213   31,  20,  21,  22,  23,  24,  25,  26,  27,     
214   29,  30,  31,  32,  21,  22,  23,  24,  25,     
215   27,  28,  29,  30,  31,  32,  21,  22,  23,     
216   25,  26,  27,  28,  29,  30,  31,  32,  33,     
217   22,  23,  24,  25,  26,  27,  28,  29,  30,     
218   32,  33,  22,  23,  24,  25,  26,  27,  28,     
219   30,  31,  32,  33,  22,  23,  24,  25,  26,     
220   28,  29,  30,  31,  32,  33,  23,  24,  25,     
221   27,  28,  29,  30,  31,  32,  33,  34,  23,     
222   25,  26,  27,  28,  29,  30,  31,  32,  33,     
223   23,  24,  25,  26,  27,  28,  29,  30,  31,     
224   33,  34,  24,  25,  26,  27,  28,  29,  30,     
225   32,  33,  34,  35,  24,  25,  26,  27,  28,     
226   30,  31,  32,  33,  34,  35,  25,  26,  27,     
227   29,  30,  31,  32,  33,  34,  35,  36,  25,     
228   27,  28,  29,  30,  31,  32,  33,  34,  35,     
229   25,  26,  27,  28,  29,  30,  31,  32,  33,     
230   35,  36,  37,  26,  27,  28,  29,  30,  31,     
231   33,  34,  35,  36,  37,  26,  27,  28,  29,     
232   31,  32,  33,  34,  35,  36,  37,  38,  26,     
233   28,  29,  30,  31,  32,  33,  34,  35,  36,     
234   38,  27,  28,  29,  30,  31,  32,  33,  34,     
235   36,  37,  38,  27,  28,  29,  30,  31,  32,     
236   34,  35,  36,  37,  38,  39,  28,  29,  30,     
237   32,  33,  34,  35,  36,  37,  38,  39,  28,     
238   30,  31,  32,  33,  34,  35,  36,  37,  38,     
239   40,  28,  29,  30,  31,  32,  33,  34,  35,     
240   37,  38,  39,  40,  29,  30,  31,  32,  33,     
241   35,  36,  37,  38,  39,  40,  29,  30,  31,     
242   33,  34,  35,  36,  37,  38,  39,  40,  41,     
243   30,  31,  32,  33,  34,  35,  36,  37,  38,     
244   40,  41,  30,  31,  32,  33,  34,  35,  36,     
245   38,  39,  40,  41,  42,  30,  31,  32,  33,     
246   35,  36,  37,  38,  39,  40,  41,  42,  30,     
247   32,  33,  34,  35,  36,  37,  38,  39,  40,     
248   42,  43,  31,  32,  33,  34,  35,  36,  37,     
249   39,  40,  41,  42,  43,  31,  32,  33,  34,     
250   36,  37,  38,  39,  40,  41,  42,  43,  44,     
251   33,  34,  35,  36,  37,  38,  39,  40,  41,     
252   43,  44,  32,  33,  34,  35,  36,  37,  38,     
253   40,  41,  42,  43,  44,  45,  32,  33,  34,     
254   36,  37,  38,  39,  40,  41,  42,  43,  44,     
255   33,  34,  35,  36,  37,  38,  39,  40,  41,     
256   43,  44,  45,  46,  33,  34,  35,  36,  37,     
257   39,  40,  41,  42,  43,  44,  45,  46,  34,     
258   36,  37,  38,  39,  40,  41,  42,  43,  44,     
259   46,  47,  34,  35,  36,  37,  38,  39,  40,     
260   42,  43,  44,  45,  46,  47,  34,  35,  36,     
261   38,  39,  40,  41,  42,  43,  44,  45,  46,     
262   48,  35,  36,  37,  38,  39,  40,  41,  42,     
263   44,  45,  46,  47,  48,  35,  36,  37,  38,     
264   40,  41,  42,  43,  44,  45,  46,  47,  48,     
265   35,  36,  37,  38,  39,  40,  41,  42,  43,     
266   45,  46,  47,  48,  49,  36,  37,  38,  39,     
267   41,  42,  43,  44,  45,  46,  47,  48,  49,     
268   36,  37,  38,  39,  40,  41,  42,  43,  44,     
269   46,  47,  48,  49,  50,  36,  37,  38,  39,     
270   41,  42,  43,  44,  45,  46,  47,  48,  49,     
271   37,  38,  39,  40,  41,  42,  43,  44,  45,     
272   47,  48,  49,  50,  37,  38,  39,  40,  41,     
273   43,  44,  45,  46,  47,  48,  49,  50,  51,     
274   39,  40,  41,  42,  43,  44,  45,  46,  47,     
275   49,  50,  51,  38,  39,  40,  41,  42,  43,     
276   45,  46,  47,  48,  49,  50,  51,  52,  38,     
277   40,  41,  42,  43,  44,  45,  46,  47,  48,     
278   50,  51,  52,  38,  39,  40,  41,  42,  43,     
279   45,  46,  47,  48,  49,  50,  51,  52,  53,     
280   40,  41,  42,  43,  44,  45,  46,  47,  48,     
281   50,  51,  52,  53,  39,  40,  41,  42,  43,     
282   45,  46,  47,  48,  49,  50,  51,  52,  53,     
283   40,  41,  42,  43,  44,  45,  46,  47,  48,     
284   50,  51,  52,  53,  54,  40,  41,  42,  43,     
285   45,  46,  47,  48,  49,  50,  51,  52,  53,     
286   40,  41,  42,  43,  44,  45,  46,  47,  48,     
287   50,  51,  52,  53,  54,  55,  41,  42,  43,     
288   45,  46,  47,  48,  49,  50,  51,  52,  53,     
289   55,  41,  42,  43,  44,  45,  46,  47,  48,     
290   50,  51,  52,  53,  54,  55,  56,  41,  42,     
291   44,  45,  46,  47,  48,  49,  50,  51,  52,     
292   54,  55,  56,  42,  43,  44,  45,  46,  47,     
293   49,  50,  51,  52,  53,  54,  55,  56,  57,     
294   43,  44,  45,  46,  47,  48,  49,  50,  51,     
295   53,  54,  55,  56,  57,  43,  44,  45,  46,     
296   48,  49,  50,  51,  52,  53,  54,  55,  56,     
297   43,  44,  45,  46,  47,  48,  49,  50,  51,     
298   53,  54,  55,  56,  57,  58,  43,  44,  45,     
299   47,  48,  49,  50,  51,  52,  53,  54,  55,     
300   57,  58,  44,  45,  46,  47,  48,  49,  50,     
301   52,  53,  54,  55,  56,  57,  58,  59,  44,     
302   46,  47,  48,  49,  50,  51,  52,  53,  54,     
303   56,  57,  58,  59,  44,  45,  46,  47,  48,     
304   50,  51,  52,  53,  54,  55,  56,  57,  58,     
305   44,  45,  46,  47,  48,  49,  50,  51,  52,     
306   54,  55,  56,  57,  58,  59,  60,  45,  46,     
307   48,  49,  50,  51,  52,  53,  54,  55,  56,     
308   58,  59,  60,  45,  46,  47,  48,  49,  50,     
309   52,  53,  54,  55,  56,  57,  58,  59,  60,     
310   46,  47,  48,  49,  50,  51,  52,  53,  54,     
311   56,  57,  58,  59,  60,  61,  46,  47,  48,     
312   50,  51,  52,  53,  54,  55,  56,  57,  58,     
313   60,  61,  62,  47,  48,  49,  50,  51,  52,     
314   54,  55,  56,  57,  58,  59,  60,  61,  62,     
315   48,  49,  50,  51,  52,  53,  54,  55,  56,     
316   58,  59,  60,  61,  62,  63,  48,  49,  50,     
317   52,  53,  54,  55,  56,  57,  58,  59,  60,     
318   62,  63,  48,  49,  50,  51,  52,  53,  54,     
319   56,  57,  58,  59,  60,  61,  62,  63,  48,     
320   50,  51,  52,  53,  54,  55,  56,  57,  58,     
321   60,  61,  62,  63,  64,  49,  50,  51,  52,     
322   54,  55,  56,  57,  58,  59,  60,  61,  62,     
323   64,  49,  50,  51,  52,  53,  54,  55,  56,     
324   58,  59,  60,  61,  62,  63,  64,  65,  50,     
325   52,  53,  54,  55,  56,  57,  58,  59,  60,     
326   62,  63,  64,  65,  50,  51,  52,  53,  54,     
327   56,  57,  58,  59,  60,  61,  62,  63,  64,     
328   50,  51,  52,  53,  54,  55,  56,  57,  58,     
329   60,  61,  62,  63,  64,  65,  66,  51,  52,     
330   54,  55,  56,  57,  58,  59,  60,  61,  62,     
331   64,  65,  66,  51,  52,  53,  54,  55,  56,     
332   58,  59,  60,  61,  62,  63,  64,  65,  66,     
333   52,  53,  54,  55,  56,  57,  58,  59,  60,     
334   62,  63,  64,  65,  66,  67,  52,  53,  54,     
335   56,  57,  58,  59,  60,  61,  62,  63,  64,     
336   66,  67,  68,  52,  53,  54,  55,  56,  57,     
337   59,  60,  61,  62,  63,  64,  65,  66,  67,     
338   53,  54,  55,  56,  57,  58,  59,  60,  61,     
339   63,  64,  65,  66,  67,  68,  69,  53,  54,     
340   56,  57,  58,  59,  60,  61,  62,  63,  64,     
341   66,  67,  68,  69,  54,  55,  56,  57,  58,     
342   60,  61,  62,  63,  64,  65,  66,  67,  68,     
343   54,  55,  56,  57,  58,  59,  60,  61,  62,     
344   64,  65,  66,  67,  68,  69,  54,  55,  56,     
345   58,  59,  60,  61,  62,  63,  64,  65,  66,     
346   68,  69,  70,  55,  56,  57,  58,  59,  60,     
347   62,  63,  64,  65,  66,  67,  68,  69,  70,     
348   56,  57,  58,  59,  60,  61,  62,  63,  64,     
349   66,  67,  68,  69,  70,  71,  55,  56,  57,     
350   59,  60,  61,  62,  63,  64,  65,  66,  67,     
351   69,  70,  71,  56,  57,  58,  59,  60,  61,     
352   63,  64,  65,  66,  67,  68,  69,  70,  71,     
353   57,  58,  59,  60,  61,  62,  63,  64,  65,     
354   67,  68,  69,  70,  71,  72,  57,  58,  59,     
355   61,  62,  63,  64,  65,  66,  67,  68,  69,     
356   71,  72,  57,  58,  59,  60,  61,  62,  63,     
357   65,  66,  67,  68,  69,  70,  71,  72,  73,     
358   59,  60,  61,  62,  63,  64,  65,  66,  67,     
359   69,  70,  71,  72,  73,  58,  59,  60,  61,     
360   63,  64,  65,  66,  67,  68,  69,  70,  71,     
361   73,  74,  59,  60,  61,  62,  63,  64,  65,     
362   67,  68,  69,  70,  71,  72,  73,  74,  59,     
363   61,  62,  63,  64,  65,  66,  67,  68,  69,     
364   71,  72,  73,  74,  75,  60,  61,  62,  63,     
365   65,  66,  67,  68,  69,  70,  71,  72,  73,     
366   75,  60,  61,  62,  63,  64,  65,  66,  67,     
367   69,  70,  71,  72,  73,  74,  75,  76,  61,     
368   63,  64,  65,  66,  67,  68,  69,  70,  71,     
369   73,  74,  75,  76,  61,  62,  63,  64,  65,     
370   67,  68,  69,  70,  71,  72,  73,  74,  75,     
371   62,  63,  64,  65,  66,  67,  68,  69,  70,     
372   72,  73,  74,  75,  76,  77,  62,  63,  64,     
373   66,  67,  68,  69,  70,  71,  72,  73,  74,     
374   76,  77,  63,  64,  65,  66,  67,  68,  69,     
375   71,  72,  73,  74,  75,  76,  77,  78,  63,     
376   65,  66,  67,  68,  69,  70,  71,  72,  73,     
377   75,  76,  77,  78,  64,  65,  66,  67,  68,     
378   70,  71,  72,  73,  74,  75,  76,  77,  78,     
379   65,  66,  67,  68,  69,  70,  71,  72,  73,     
380   75,  76,  77,  78,  79,  65,  66,  67,  68,     
381   70,  71,  72,  73,  74,  75,  76,  77,  78,     
382   65,  66,  67,  68,  69,  70,  71,  72,  73,     
383   75,  76,  77,  78,  79,  80,  66,  67,  68,     
384   70,  71,  72,  73,  74,  75,  76,  77,  78,     
385   80,  66,  67,  68,  69,  70,  71,  72,  73,     
386   75,  76,  77,  78,  79,  80,  67,  68,  69,     
387   71,  72,  73,  74,  75,  76,  77,  78,  79,     
388   67,  68,  69,  70,  71,  72,  73,  74,  75,     
389   77,  78,  79,  80,  68,  69,  70,  71,  72,     
390   74,  75,  76,  77,  78,  79,  80,  81,  68,     
391   70,  71,  72,  73,  74,  75,  76,  77,  78,     
392   80,  81,  69,  70,  71,  72,  73,  74,  75,     
393   77,  78,  79,  80,  81,  82,  69,  70,  71,     
394   73,  74,  75,  76,  77,  78,  79,  80,  81,     
395   70,  71,  72,  73,  74,  75,  76,  77,  78,     
396   80,  81,  82,  70,  71,  72,  73,  74,  75,     
397   77,  78,  79,  80,  81,  82,  71,  72,  73,     
398   75,  76,  77,  78,  79,  80,  81,  82,  71,     
399   73,  74,  75,  76,  77,  78,  79,  80,  81,     
400   71,  72,  73,  74,  75,  76,  77,  78,  79,     
401   81,  82,  83,  71,  72,  73,  74,  75,  76,     
402   78,  79,  80,  81,  82,  83,  72,  73,  74,     
403   76,  77,  78,  79,  80,  81,  82,  83,  84,     
404   73,  74,  75,  76,  77,  78,  79,  80,  81,     
405   83,  84,  72,  73,  74,  75,  76,  77,  78,     
406   80,  81,  82,  83,  84,  72,  73,  74,  75,     
407   77,  78,  79,  80,  81,  82,  83,  84,  73,     
408   75,  76,  77,  78,  79,  80,  81,  82,  83,     
409   73,  74,  75,  76,  77,  78,  79,  80,  81,     
410   83,  84,  85,  73,  74,  75,  76,  77,  78,     
411   80,  81,  82,  83,  84,  85,  74,  75,  76,     
412   78,  79,  80,  81,  82,  83,  84,  85,  86,     
413   75,  76,  77,  78,  79,  80,  81,  82,  83,     
414   85,  86,  75,  76,  77,  78,  79,  80,  81,     
415   83,  84,  85,  86,  75,  76,  77,  78,  79,     
416   81,  82,  83,  84,  85,  86,  75,  76,  77,     
417   79,  80,  81,  82,  83,  84,  85,  86,  75,     
418   77,  78,  79,  80,  81,  82,  83,  84,  85,     
419   76,  77,  78,  79,  80,  81,  82,  83,  84,     
420   86,  87,  76,  77,  78,  79,  80,  81,  82,     
421   84,  85,  86,  87,  76,  77,  78,  79,  80,     
422   82,  83,  84,  85,  86,  87,  88,  76,  77,     
423   79,  80,  81,  82,  83,  84,  85,  86,  87,     
424   77,  78,  79,  80,  81,  82,  83,  84,  85,     
425   87,  88,  77,  78,  79,  80,  81,  82,  83,     
426   85,  86,  87,  88,  78,  79,  80,  81,  82,     
427   84,  85,  86,  87,  88,  78,  79,  80,  81,     
428   83,  84,  85,  86,  87,  88,  89,  79,  80,     
429   82,  83,  84,  85,  86,  87,  88,  89,  79,     
430   81,  82,  83,  84,  85,  86,  87,  88,  89,     
431   79,  80,  81,  82,  83,  84,  85,  86,  87,     
432   89,  90,  79,  80,  81,  82,  83,  84,  85,     
433   87,  88,  89,  90,  80,  81,  82,  83,  84,     
434   86,  87,  88,  89,  90,  80,  81,  82,  83,     
435   85,  86,  87,  88,  89,  90,  91,  80,  81,     
436   83,  84,  85,  86,  87,  88,  89,  90,  91,     
437   81,  82,  83,  84,  85,  86,  87,  88,  89,     
438   91,  80,  81,  82,  83,  84,  85,  86,  87,     
439   89,  90,  91,  80,  81,  82,  83,  84,  85,     
440   87,  88,  89,  90,  91,  81,  82,  83,  84,     
441   86,  87,  88,  89,  90,  91,  92,  81,  82,     
442   84,  85,  86,  87,  88,  89,  90,  91,  92,     
443   83,  84,  85,  86,  87,  88,  89,  90,  91,     
444   93,  82,  83,  84,  85,  86,  87,  88,  89,     
445   91,  92,  93,  83,  84,  85,  86,  87,  88,     
446   90,  91,  92,  93,  83,  84,  85,  86,  87,     
447   89,  90,  91,  92,  93,  83,  84,  85,  86,     
448   88,  89,  90,  91,  92,  93,  83,  84,  85,     
449   87,  88,  89,  90,  91,  92,  93,  84,  85,     
450   87,  88,  89,  90,  91,  92,  93,  84,  85,     
451   87,  88,  89,  90,  91,  92,  93,  84,  85,     
452   87,  88,  89,  90,  91,  92,  93,  85,  86,     
453   88,  89,  90,  91,  92,  93,  94,  85,  86,     
454   88,  89,  90,  91,  92,  93,  94,  86,  87,     
455   89,  90,  91,  92,  93,  94,  95,  86,  87,     
456   89,  90,  91,  92,  93,  94,  95,  87,  88,     
457   90,  91,  92,  93,  94,  95,  96,  87,  88,     
458   90,  91,  92,  93,  94,  95,  96,  88,  89,     
459   91,  92,  93,  94,  95,  96,  97,  88,  89,     
460   91,  92,  93,  94,  95,  96,  97,  89,  90,     
461   92,  93,  94,  95,  96,  97,  89,  90,  91,     
462   93,  94,  95,  96,  97,  98,  90,  91,  92,     
463   94,  95,  96,  97,  98,  90,  91,  92,  93,     
464   95,  96,  97,  98,  99,  91,  92,  93,  94,     
465   96,  97,  98,  99,  91,  92,  93,  94,  95,     
466   97,  98,  99, 100,  92,  93,  94,  95,  96,     
467   98,  99, 100,  92,  93,  94,  95,  96,  97,     
468   99, 100,  93,  94,  95,  96,  97,  98,  99,     
469   93,  94,  95,  96,  97,  98,  99, 100, 101,     
470   95,  96,  97,  98,  99, 100, 101,  94,  95,     
471   97,  98,  99, 100, 101,  95,  96,  97,  98,     
472  100, 101, 102,  95,  96,  97,  98,  99, 100,     
473  102,  96,  97,  98,  99, 100, 101, 102,  96,     
474   98,  99, 100, 101, 102, 103,  96,  97,  98,     
475  100, 101, 102, 103,  97,  98,  99, 100, 101,     
476  103, 104,  97,  98,  99, 100, 101, 102, 103,     
477   98,  99, 100, 101, 102, 103, 104, 105,  98,     
478  100, 101, 102, 103, 104, 105,  99, 100, 101,     
479  103, 104, 105,  99, 100, 101, 102, 103, 104,     
480  106, 100, 101, 102, 103, 104, 105, 106, 100,     
481  102, 103, 104, 105, 106, 107, 101, 102, 103,     
482  105, 106, 107, 101, 102, 103, 104, 105, 106,     
483  102, 103, 104, 105, 106, 107, 108, 102, 103,     
484  105, 106, 107, 108, 103, 104, 105, 106, 107,     
485  109, 103, 104, 105, 106, 107, 108, 109, 104,     
486  106, 107, 108, 109, 110, 104, 105, 106, 107,     
487  109, 110, 105, 106, 107, 108, 109, 110, 105,     
488  107, 108, 109, 110, 106, 107, 108, 109, 110,     
489  107, 108, 109, 110, 111, 106, 107, 108, 109,     
490  111, 107, 108, 109, 110, 111, 107, 108, 109,     
491  111, 108, 109, 110, 111, 112, 108, 109, 110,     
492  112, 109, 110, 111, 112, 113, 109, 110, 111,     
493  113, 110, 111, 112, 113, 110, 111, 112, 113,     
494  112, 113, 111, 112, 113, 112, 113, 112, 113,     
495  113, 114, 113, 114, 115, 114, 115, 114, 115,     
496  115, 116, 115, 116, 117, 116, 117, 116, 117,     
497  117, 118, 118                                    
498   },                                              
499   // --------- A -----------                      
500   {                                               
501    1,   1,   2,   3,   3,   3,   4,   4,   4,     
502    5,   5,   5,   6,   6,   6,   6,   6,   7,     
503    7,   7,   7,   8,   8,   8,   8,   8,   9,     
504    9,   9,   9,  10,  10,  10,  10,  10,  10,     
505   11,  11,  11,  11,  12,  12,  12,  12,  12,     
506   13,  13,  13,  13,  13,  13,  14,  14,  14,     
507   14,  14,  15,  15,  15,  15,  15,  15,  16,     
508   16,  16,  16,  16,  16,  17,  17,  17,  17,     
509   17,  18,  18,  18,  18,  18,  18,  18,  19,     
510   19,  19,  19,  19,  19,  19,  20,  20,  20,     
511   20,  20,  20,  20,  21,  21,  21,  21,  21,     
512   21,  21,  21,  22,  22,  22,  22,  22,  22,     
513   22,  22,  23,  23,  23,  23,  23,  23,  23,     
514   23,  24,  24,  24,  24,  24,  24,  24,  24,     
515   25,  25,  25,  25,  25,  25,  25,  25,  25,     
516   26,  26,  26,  26,  26,  26,  26,  26,  27,     
517   27,  27,  27,  27,  27,  27,  27,  28,  28,     
518   28,  28,  28,  28,  28,  28,  28,  29,  29,     
519   29,  29,  29,  29,  29,  29,  30,  30,  30,     
520   30,  30,  30,  30,  30,  30,  31,  31,  31,     
521   31,  31,  31,  31,  31,  31,  32,  32,  32,     
522   32,  32,  32,  32,  32,  32,  33,  33,  33,     
523   33,  33,  33,  33,  33,  33,  34,  34,  34,     
524   34,  34,  34,  34,  34,  34,  34,  35,  35,     
525   35,  35,  35,  35,  35,  35,  35,  36,  36,     
526   36,  36,  36,  36,  36,  36,  36,  36,  37,     
527   37,  37,  37,  37,  37,  37,  37,  37,  37,     
528   38,  38,  38,  38,  38,  38,  38,  38,  38,     
529   39,  39,  39,  39,  39,  39,  39,  39,  39,     
530   39,  40,  40,  40,  40,  40,  40,  40,  40,     
531   40,  40,  40,  41,  41,  41,  41,  41,  41,     
532   41,  41,  41,  41,  42,  42,  42,  42,  42,     
533   42,  42,  42,  42,  42,  42,  43,  43,  43,     
534   43,  43,  43,  43,  43,  43,  43,  43,  44,     
535   44,  44,  44,  44,  44,  44,  44,  44,  44,     
536   45,  45,  45,  45,  45,  45,  45,  45,  45,     
537   45,  45,  45,  46,  46,  46,  46,  46,  46,     
538   46,  46,  46,  46,  46,  47,  47,  47,  47,     
539   47,  47,  47,  47,  47,  47,  47,  47,  48,     
540   48,  48,  48,  48,  48,  48,  48,  48,  48,     
541   48,  49,  49,  49,  49,  49,  49,  49,  49,     
542   49,  49,  49,  49,  50,  50,  50,  50,  50,     
543   50,  50,  50,  50,  50,  50,  51,  51,  51,     
544   51,  51,  51,  51,  51,  51,  51,  51,  52,     
545   52,  52,  52,  52,  52,  52,  52,  52,  52,     
546   53,  53,  53,  53,  53,  53,  53,  53,  53,     
547   53,  53,  54,  54,  54,  54,  54,  54,  54,     
548   54,  54,  54,  54,  55,  55,  55,  55,  55,     
549   55,  55,  55,  55,  55,  55,  56,  56,  56,     
550   56,  56,  56,  56,  56,  56,  56,  56,  56,     
551   57,  57,  57,  57,  57,  57,  57,  57,  57,     
552   57,  58,  58,  58,  58,  58,  58,  58,  58,     
553   58,  58,  58,  58,  59,  59,  59,  59,  59,     
554   59,  59,  59,  59,  59,  59,  60,  60,  60,     
555   60,  60,  60,  60,  60,  60,  60,  60,  60,     
556   61,  61,  61,  61,  61,  61,  61,  61,  61,     
557   61,  61,  62,  62,  62,  62,  62,  62,  62,     
558   62,  62,  62,  62,  63,  63,  63,  63,  63,     
559   63,  63,  63,  63,  63,  63,  64,  64,  64,     
560   64,  64,  64,  64,  64,  64,  64,  64,  65,     
561   65,  65,  65,  65,  65,  65,  65,  65,  65,     
562   66,  66,  66,  66,  66,  66,  66,  66,  66,     
563   66,  66,  67,  67,  67,  67,  67,  67,  67,     
564   67,  67,  67,  67,  68,  68,  68,  68,  68,     
565   68,  68,  68,  68,  68,  68,  69,  69,  69,     
566   69,  69,  69,  69,  69,  69,  69,  69,  70,     
567   70,  70,  70,  70,  70,  70,  70,  70,  70,     
568   71,  71,  71,  71,  71,  71,  71,  71,  71,     
569   71,  71,  71,  72,  72,  72,  72,  72,  72,     
570   72,  72,  72,  72,  72,  73,  73,  73,  73,     
571   73,  73,  73,  73,  73,  73,  73,  73,  74,     
572   74,  74,  74,  74,  74,  74,  74,  74,  74,     
573   74,  75,  75,  75,  75,  75,  75,  75,  75,     
574   75,  75,  75,  76,  76,  76,  76,  76,  76,     
575   76,  76,  76,  76,  76,  76,  77,  77,  77,     
576   77,  77,  77,  77,  77,  77,  77,  77,  78,     
577   78,  78,  78,  78,  78,  78,  78,  78,  78,     
578   78,  79,  79,  79,  79,  79,  79,  79,  79,     
579   79,  79,  79,  79,  80,  80,  80,  80,  80,     
580   80,  80,  80,  80,  80,  80,  81,  81,  81,     
581   81,  81,  81,  81,  81,  81,  81,  81,  81,     
582   82,  82,  82,  82,  82,  82,  82,  82,  82,     
583   82,  82,  83,  83,  83,  83,  83,  83,  83,     
584   83,  83,  83,  83,  83,  84,  84,  84,  84,     
585   84,  84,  84,  84,  84,  84,  84,  84,  85,     
586   85,  85,  85,  85,  85,  85,  85,  85,  85,     
587   85,  85,  86,  86,  86,  86,  86,  86,  86,     
588   86,  86,  86,  86,  86,  87,  87,  87,  87,     
589   87,  87,  87,  87,  87,  87,  87,  87,  87,     
590   88,  88,  88,  88,  88,  88,  88,  88,  88,     
591   88,  88,  89,  89,  89,  89,  89,  89,  89,     
592   89,  89,  89,  89,  89,  89,  90,  90,  90,     
593   90,  90,  90,  90,  90,  90,  90,  90,  90,     
594   91,  91,  91,  91,  91,  91,  91,  91,  91,     
595   91,  91,  91,  91,  92,  92,  92,  92,  92,     
596   92,  92,  92,  92,  92,  92,  92,  92,  93,     
597   93,  93,  93,  93,  93,  93,  93,  93,  93,     
598   93,  93,  94,  94,  94,  94,  94,  94,  94,     
599   94,  94,  94,  94,  94,  94,  95,  95,  95,     
600   95,  95,  95,  95,  95,  95,  95,  95,  95,     
601   95,  96,  96,  96,  96,  96,  96,  96,  96,     
602   96,  96,  96,  96,  96,  97,  97,  97,  97,     
603   97,  97,  97,  97,  97,  97,  97,  97,  97,     
604   98,  98,  98,  98,  98,  98,  98,  98,  98,     
605   98,  98,  98,  98,  98,  99,  99,  99,  99,     
606   99,  99,  99,  99,  99,  99,  99,  99,  99,     
607  100, 100, 100, 100, 100, 100, 100, 100, 100,     
608  100, 100, 100, 100, 100, 101, 101, 101, 101,     
609  101, 101, 101, 101, 101, 101, 101, 101, 101,     
610  102, 102, 102, 102, 102, 102, 102, 102, 102,     
611  102, 102, 102, 102, 103, 103, 103, 103, 103,     
612  103, 103, 103, 103, 103, 103, 103, 103, 103,     
613  104, 104, 104, 104, 104, 104, 104, 104, 104,     
614  104, 104, 104, 105, 105, 105, 105, 105, 105,     
615  105, 105, 105, 105, 105, 105, 105, 105, 106,     
616  106, 106, 106, 106, 106, 106, 106, 106, 106,     
617  106, 106, 106, 107, 107, 107, 107, 107, 107,     
618  107, 107, 107, 107, 107, 107, 107, 107, 107,     
619  108, 108, 108, 108, 108, 108, 108, 108, 108,     
620  108, 108, 108, 108, 109, 109, 109, 109, 109,     
621  109, 109, 109, 109, 109, 109, 109, 109, 109,     
622  110, 110, 110, 110, 110, 110, 110, 110, 110,     
623  110, 110, 110, 110, 110, 111, 111, 111, 111,     
624  111, 111, 111, 111, 111, 111, 111, 111, 111,     
625  112, 112, 112, 112, 112, 112, 112, 112, 112,     
626  112, 112, 112, 112, 112, 112, 113, 113, 113,     
627  113, 113, 113, 113, 113, 113, 113, 113, 113,     
628  113, 114, 114, 114, 114, 114, 114, 114, 114,     
629  114, 114, 114, 114, 114, 114, 114, 115, 115,     
630  115, 115, 115, 115, 115, 115, 115, 115, 115,     
631  115, 115, 115, 116, 116, 116, 116, 116, 116,     
632  116, 116, 116, 116, 116, 116, 116, 116, 116,     
633  117, 117, 117, 117, 117, 117, 117, 117, 117,     
634  117, 117, 117, 117, 117, 118, 118, 118, 118,     
635  118, 118, 118, 118, 118, 118, 118, 118, 118,     
636  119, 119, 119, 119, 119, 119, 119, 119, 119,     
637  119, 119, 119, 119, 119, 119, 120, 120, 120,     
638  120, 120, 120, 120, 120, 120, 120, 120, 120,     
639  120, 120, 121, 121, 121, 121, 121, 121, 121,     
640  121, 121, 121, 121, 121, 121, 121, 121, 122,     
641  122, 122, 122, 122, 122, 122, 122, 122, 122,     
642  122, 122, 122, 122, 123, 123, 123, 123, 123,     
643  123, 123, 123, 123, 123, 123, 123, 123, 123,     
644  124, 124, 124, 124, 124, 124, 124, 124, 124,     
645  124, 124, 124, 124, 124, 124, 124, 125, 125,     
646  125, 125, 125, 125, 125, 125, 125, 125, 125,     
647  125, 125, 125, 126, 126, 126, 126, 126, 126,     
648  126, 126, 126, 126, 126, 126, 126, 126, 126,     
649  127, 127, 127, 127, 127, 127, 127, 127, 127,     
650  127, 127, 127, 127, 127, 127, 128, 128, 128,     
651  128, 128, 128, 128, 128, 128, 128, 128, 128,     
652  128, 128, 128, 129, 129, 129, 129, 129, 129,     
653  129, 129, 129, 129, 129, 129, 129, 129, 129,     
654  130, 130, 130, 130, 130, 130, 130, 130, 130,     
655  130, 130, 130, 130, 130, 130, 131, 131, 131,     
656  131, 131, 131, 131, 131, 131, 131, 131, 131,     
657  131, 131, 132, 132, 132, 132, 132, 132, 132,     
658  132, 132, 132, 132, 132, 132, 132, 132, 133,     
659  133, 133, 133, 133, 133, 133, 133, 133, 133,     
660  133, 133, 133, 133, 133, 134, 134, 134, 134,     
661  134, 134, 134, 134, 134, 134, 134, 134, 134,     
662  134, 135, 135, 135, 135, 135, 135, 135, 135,     
663  135, 135, 135, 135, 135, 135, 135, 135, 136,     
664  136, 136, 136, 136, 136, 136, 136, 136, 136,     
665  136, 136, 136, 136, 137, 137, 137, 137, 137,     
666  137, 137, 137, 137, 137, 137, 137, 137, 137,     
667  138, 138, 138, 138, 138, 138, 138, 138, 138,     
668  138, 138, 138, 138, 138, 138, 138, 139, 139,     
669  139, 139, 139, 139, 139, 139, 139, 139, 139,     
670  139, 139, 139, 140, 140, 140, 140, 140, 140,     
671  140, 140, 140, 140, 140, 140, 140, 140, 140,     
672  141, 141, 141, 141, 141, 141, 141, 141, 141,     
673  141, 141, 141, 141, 141, 141, 142, 142, 142,     
674  142, 142, 142, 142, 142, 142, 142, 142, 142,     
675  142, 142, 142, 143, 143, 143, 143, 143, 143,     
676  143, 143, 143, 143, 143, 143, 143, 143, 143,     
677  144, 144, 144, 144, 144, 144, 144, 144, 144,     
678  144, 144, 144, 144, 144, 144, 144, 145, 145,     
679  145, 145, 145, 145, 145, 145, 145, 145, 145,     
680  145, 145, 145, 145, 146, 146, 146, 146, 146,     
681  146, 146, 146, 146, 146, 146, 146, 146, 146,     
682  147, 147, 147, 147, 147, 147, 147, 147, 147,     
683  147, 147, 147, 147, 147, 147, 148, 148, 148,     
684  148, 148, 148, 148, 148, 148, 148, 148, 148,     
685  148, 148, 148, 149, 149, 149, 149, 149, 149,     
686  149, 149, 149, 149, 149, 149, 149, 149, 149,     
687  150, 150, 150, 150, 150, 150, 150, 150, 150,     
688  150, 150, 150, 150, 150, 150, 151, 151, 151,     
689  151, 151, 151, 151, 151, 151, 151, 151, 151,     
690  151, 151, 151, 152, 152, 152, 152, 152, 152,     
691  152, 152, 152, 152, 152, 152, 152, 152, 152,     
692  153, 153, 153, 153, 153, 153, 153, 153, 153,     
693  153, 153, 153, 153, 153, 153, 154, 154, 154,     
694  154, 154, 154, 154, 154, 154, 154, 154, 154,     
695  154, 154, 155, 155, 155, 155, 155, 155, 155,     
696  155, 155, 155, 155, 155, 155, 155, 155, 155,     
697  156, 156, 156, 156, 156, 156, 156, 156, 156,     
698  156, 156, 156, 156, 156, 157, 157, 157, 157,     
699  157, 157, 157, 157, 157, 157, 157, 157, 157,     
700  157, 157, 158, 158, 158, 158, 158, 158, 158,     
701  158, 158, 158, 158, 158, 158, 158, 158, 159,     
702  159, 159, 159, 159, 159, 159, 159, 159, 159,     
703  159, 159, 159, 159, 159, 160, 160, 160, 160,     
704  160, 160, 160, 160, 160, 160, 160, 160, 160,     
705  160, 161, 161, 161, 161, 161, 161, 161, 161,     
706  161, 161, 161, 161, 161, 161, 161, 161, 162,     
707  162, 162, 162, 162, 162, 162, 162, 162, 162,     
708  162, 162, 162, 162, 163, 163, 163, 163, 163,     
709  163, 163, 163, 163, 163, 163, 163, 163, 163,     
710  164, 164, 164, 164, 164, 164, 164, 164, 164,     
711  164, 164, 164, 164, 164, 164, 165, 165, 165,     
712  165, 165, 165, 165, 165, 165, 165, 165, 165,     
713  165, 165, 166, 166, 166, 166, 166, 166, 166,     
714  166, 166, 166, 166, 166, 166, 166, 166, 167,     
715  167, 167, 167, 167, 167, 167, 167, 167, 167,     
716  167, 167, 167, 167, 168, 168, 168, 168, 168,     
717  168, 168, 168, 168, 168, 168, 168, 168, 168,     
718  169, 169, 169, 169, 169, 169, 169, 169, 169,     
719  169, 169, 169, 169, 169, 170, 170, 170, 170,     
720  170, 170, 170, 170, 170, 170, 170, 170, 170,     
721  171, 171, 171, 171, 171, 171, 171, 171, 171,     
722  171, 171, 171, 171, 171, 171, 172, 172, 172,     
723  172, 172, 172, 172, 172, 172, 172, 172, 172,     
724  172, 173, 173, 173, 173, 173, 173, 173, 173,     
725  173, 173, 173, 173, 173, 173, 174, 174, 174,     
726  174, 174, 174, 174, 174, 174, 174, 174, 174,     
727  175, 175, 175, 175, 175, 175, 175, 175, 175,     
728  175, 175, 175, 175, 176, 176, 176, 176, 176,     
729  176, 176, 176, 176, 176, 176, 176, 176, 177,     
730  177, 177, 177, 177, 177, 177, 177, 177, 177,     
731  177, 177, 178, 178, 178, 178, 178, 178, 178,     
732  178, 178, 178, 178, 178, 178, 179, 179, 179,     
733  179, 179, 179, 179, 179, 179, 179, 179, 179,     
734  180, 180, 180, 180, 180, 180, 180, 180, 180,     
735  180, 180, 180, 181, 181, 181, 181, 181, 181,     
736  181, 181, 181, 181, 181, 181, 182, 182, 182,     
737  182, 182, 182, 182, 182, 182, 182, 182, 183,     
738  183, 183, 183, 183, 183, 183, 183, 183, 183,     
739  184, 184, 184, 184, 184, 184, 184, 184, 184,     
740  184, 184, 184, 185, 185, 185, 185, 185, 185,     
741  185, 185, 185, 185, 185, 185, 186, 186, 186,     
742  186, 186, 186, 186, 186, 186, 186, 186, 186,     
743  187, 187, 187, 187, 187, 187, 187, 187, 187,     
744  187, 187, 188, 188, 188, 188, 188, 188, 188,     
745  188, 188, 188, 188, 188, 189, 189, 189, 189,     
746  189, 189, 189, 189, 189, 189, 189, 189, 190,     
747  190, 190, 190, 190, 190, 190, 190, 190, 190,     
748  191, 191, 191, 191, 191, 191, 191, 191, 191,     
749  191, 191, 191, 192, 192, 192, 192, 192, 192,     
750  192, 192, 192, 192, 192, 192, 193, 193, 193,     
751  193, 193, 193, 193, 193, 193, 193, 193, 193,     
752  194, 194, 194, 194, 194, 194, 194, 194, 194,     
753  194, 194, 195, 195, 195, 195, 195, 195, 195,     
754  195, 195, 195, 195, 196, 196, 196, 196, 196,     
755  196, 196, 196, 196, 196, 196, 197, 197, 197,     
756  197, 197, 197, 197, 197, 197, 197, 197, 198,     
757  198, 198, 198, 198, 198, 198, 198, 198, 198,     
758  199, 199, 199, 199, 199, 199, 199, 199, 199,     
759  199, 199, 200, 200, 200, 200, 200, 200, 200,     
760  200, 200, 200, 200, 201, 201, 201, 201, 201,     
761  201, 201, 201, 201, 201, 201, 201, 202, 202,     
762  202, 202, 202, 202, 202, 202, 202, 202, 202,     
763  203, 203, 203, 203, 203, 203, 203, 203, 203,     
764  203, 203, 204, 204, 204, 204, 204, 204, 204,     
765  204, 204, 204, 204, 205, 205, 205, 205, 205,     
766  205, 205, 205, 205, 205, 206, 206, 206, 206,     
767  206, 206, 206, 206, 206, 206, 206, 207, 207,     
768  207, 207, 207, 207, 207, 207, 207, 207, 208,     
769  208, 208, 208, 208, 208, 208, 208, 208, 208,     
770  209, 209, 209, 209, 209, 209, 209, 209, 209,     
771  209, 209, 210, 210, 210, 210, 210, 210, 210,     
772  210, 210, 210, 210, 211, 211, 211, 211, 211,     
773  211, 211, 211, 211, 211, 212, 212, 212, 212,     
774  212, 212, 212, 212, 212, 212, 212, 213, 213,     
775  213, 213, 213, 213, 213, 213, 213, 213, 213,     
776  214, 214, 214, 214, 214, 214, 214, 214, 214,     
777  214, 215, 215, 215, 215, 215, 215, 215, 215,     
778  215, 215, 215, 216, 216, 216, 216, 216, 216,     
779  216, 216, 216, 216, 216, 217, 217, 217, 217,     
780  217, 217, 217, 217, 217, 217, 217, 218, 218,     
781  218, 218, 218, 218, 218, 218, 218, 218, 218,     
782  219, 219, 219, 219, 219, 219, 219, 219, 219,     
783  219, 220, 220, 220, 220, 220, 220, 220, 220,     
784  220, 220, 220, 221, 221, 221, 221, 221, 221,     
785  221, 221, 221, 221, 222, 222, 222, 222, 222,     
786  222, 222, 222, 222, 222, 223, 223, 223, 223,     
787  223, 223, 223, 223, 223, 223, 224, 224, 224,     
788  224, 224, 224, 224, 224, 224, 224, 225, 225,     
789  225, 225, 225, 225, 225, 225, 225, 226, 226,     
790  226, 226, 226, 226, 226, 226, 226, 227, 227,     
791  227, 227, 227, 227, 227, 227, 227, 228, 228,     
792  228, 228, 228, 228, 228, 228, 228, 229, 229,     
793  229, 229, 229, 229, 229, 229, 229, 230, 230,     
794  230, 230, 230, 230, 230, 230, 230, 231, 231,     
795  231, 231, 231, 231, 231, 231, 231, 232, 232,     
796  232, 232, 232, 232, 232, 232, 232, 233, 233,     
797  233, 233, 233, 233, 233, 233, 233, 234, 234,     
798  234, 234, 234, 234, 234, 234, 234, 235, 235,     
799  235, 235, 235, 235, 235, 235, 235, 236, 236,     
800  236, 236, 236, 236, 236, 236, 237, 237, 237,     
801  237, 237, 237, 237, 237, 237, 238, 238, 238,     
802  238, 238, 238, 238, 238, 239, 239, 239, 239,     
803  239, 239, 239, 239, 239, 240, 240, 240, 240,     
804  240, 240, 240, 240, 241, 241, 241, 241, 241,     
805  241, 241, 241, 241, 242, 242, 242, 242, 242,     
806  242, 242, 242, 243, 243, 243, 243, 243, 243,     
807  243, 243, 244, 244, 244, 244, 244, 244, 244,     
808  245, 245, 245, 245, 245, 245, 245, 245, 245,     
809  246, 246, 246, 246, 246, 246, 246, 247, 247,     
810  247, 247, 247, 247, 247, 248, 248, 248, 248,     
811  248, 248, 248, 249, 249, 249, 249, 249, 249,     
812  249, 250, 250, 250, 250, 250, 250, 250, 251,     
813  251, 251, 251, 251, 251, 251, 252, 252, 252,     
814  252, 252, 252, 252, 253, 253, 253, 253, 253,     
815  253, 253, 254, 254, 254, 254, 254, 254, 254,     
816  255, 255, 255, 255, 255, 255, 255, 255, 256,     
817  256, 256, 256, 256, 256, 256, 257, 257, 257,     
818  257, 257, 257, 258, 258, 258, 258, 258, 258,     
819  258, 259, 259, 259, 259, 259, 259, 259, 260,     
820  260, 260, 260, 260, 260, 260, 261, 261, 261,     
821  261, 261, 261, 262, 262, 262, 262, 262, 262,     
822  263, 263, 263, 263, 263, 263, 263, 264, 264,     
823  264, 264, 264, 264, 265, 265, 265, 265, 265,     
824  265, 266, 266, 266, 266, 266, 266, 266, 267,     
825  267, 267, 267, 267, 267, 268, 268, 268, 268,     
826  268, 268, 269, 269, 269, 269, 269, 269, 270,     
827  270, 270, 270, 270, 271, 271, 271, 271, 271,     
828  272, 272, 272, 272, 272, 273, 273, 273, 273,     
829  273, 274, 274, 274, 274, 274, 275, 275, 275,     
830  275, 276, 276, 276, 276, 276, 277, 277, 277,     
831  277, 278, 278, 278, 278, 278, 279, 279, 279,     
832  279, 280, 280, 280, 280, 281, 281, 281, 281,     
833  282, 282, 283, 283, 283, 284, 284, 285, 285,     
834  286, 286, 287, 287, 287, 288, 288, 289, 289,     
835  290, 290, 291, 291, 291, 292, 292, 293, 293,     
836  294, 294, 295                                    
837   }                                               
838 };                                                
839                                                   
840 //+----------------------+                        
841 //| Table of Mass Excess |                        
842 //+----------------------+                        
843 // unit: keV                                      
844 const G4double G4NucleiPropertiesTableAME12::M    
845                                                   
846    8071.31714,   7288.97059,  13135.72174,  14    
847   11231.233  ,  11678.886  ,  37139      ,  41    
848   14907.10520,  15768.999  ,  27676.550  ,  31    
849   11348.453  ,  12416.488  ,  28910.970  ,  49    
850   20177.167  ,   8667.883  ,  10650.295  ,  24    
851   58340.888  ,  33659.076  ,  16562.119  ,   3    
852    8007.457  ,  31964.410  ,  49760      ,  28    
853   13694.128  ,   5683.907  ,  -4737.00137,  10    
854   16500.451  ,  51847.133  ,  24918.124  ,  13    
855   15855.521  ,   3332.858  ,  -1487.44434,   1    
856     -17.463  ,  -7041.93055,   6850.604  ,  17    
857   -2184.637  ,  10913.515  ,  26990      ,  53    
858   18201      ,  33338      ,  64171      ,  38    
859   23697      ,  46938      ,  18500.402  ,   7    
860   55983      ,  27347.719  ,  11363.509  ,  -2    
861   18665.061  ,    479.445  ,  -6860.780  , -16    
862    7035.824  ,  -5517.676  , -14586.614  , -17    
863    -988.315  , -15018.730  , -16850.530  , -21    
864  -10602.829  , -18204.662  , -21895.07867, -16    
865  -15872.452  , -24432.961  , -20200.608  , -14    
866  -14954.976  , -22949.036  , -24440.54111, -19    
867  -24077.686  , -24304.874  , -26015.53353, -13    
868  -20514.326  , -26337.346  , -26585.85432, -21    
869  -19956.729  , -24548.698  , -29931.693  , -24    
870  -14360.399  , -24857.791  , -28846.217  , -29    
871  -12393.323  , -20251.028  , -30664.124  , -29    
872    9809.563  ,  -6594.287  , -18996.105  , -26    
873   16209.859  ,  -4170.299  , -14669.556  , -26    
874   42275      ,  20996      ,   2320.352  , -12    
875    2198      ,  48605      ,  27973      ,   5    
876  -20523.336  ,  -8850.386  ,  11886      ,  33    
877  -35137.887  , -28642.411  , -15697.537  ,        
878  -35022.026  , -38547.243  , -32121.143  , -25    
879  -24322.627  , -32009.808  , -36575.389  , -38    
880   -9204.234  , -20609.730  , -32673.255  , -35    
881   37213      ,  15323      ,  -3989.589  , -18    
882  -19514.799  ,  -5133      ,  13431      ,  22    
883  -44126.996  , -37074.602  , -29473.531  , -12    
884  -42343.453  , -44335.630  , -44936.400  , -42    
885  -22440      , -32284.477  , -44224.759  , -44    
886   16477      ,  21203      ,   1146      , -16    
887  -37636.738  , -24750.727  , -10330      ,   7    
888  -49223.856  , -50261.709  , -42627.232  , -34    
889  -43228.814  , -49731.858  , -52203.685  , -51    
890  -34263.009  , -40166.506  , -49468.845  , -51    
891    6791      , -11681      , -28457      , -38    
892  -29630.824  , -14354      ,  -5002      , -24    
893  -48009.320  , -39222.917  , -21741      ,  -7    
894  -57711.725  , -57480.637  , -54029.258  , -45    
895  -46123.102  , -55281.245  , -56910.845  , -60    
896  -20707      , -33867.607  , -44228.389  , -52    
897  -15649      ,  -1919      , -14876      , -31    
898  -51667.134  , -42298.153  , -23492      ,  -7    
899  -62229.119  , -61156.118  , -56357.732  , -47    
900  -52967.938  , -61412.375  , -61649.720  , -64    
901  -16348      , -30506.429  , -42455.089  , -51    
902  -33729      , -17587      , -12566      , -25    
903  -61167.512  , -51986.446  , -41899      , -24    
904  -65512.321  , -65579.298  , -62213.111  , -56    
905  -59791.888  , -67098.478  , -65424.094  , -66    
906  -40967.338  , -51221.492  , -59185.198  , -65    
907   -5608      , -24536      , -36750.387  , -50    
908  -52025.077  , -41368      , -18481      , -33    
909  -62658.004  , -56587.225  , -46580.289  , -32    
910  -70006.846  , -67085.746  , -66978.789  , -58    
911  -65736.212  , -68417.599  , -69327.799  , -67    
912  -46919.353  , -59213.860  , -62976.372  , -69    
913  -15202      , -31000      , -44369.925  , -55    
914  -56502.418  , -46327.205  , -32304      , -28    
915  -68229.798  , -67868.180  , -59067.321  , -53    
916  -69699.335  , -71297.523  , -70952.749  , -68    
917  -48456      , -56006.205  , -65756.712  , -68    
918  -40827      , -29100      , -44246      , -54    
919  -64323.623  , -57218.694  , -46618.694  , -24    
920  -75251.950  , -70289.069  , -69014.137  , -60    
921  -71212.862  , -73916.319  , -74599.485  , -73    
922  -57483.234  , -63705.950  , -71862.053  , -72    
923  -41302      , -27710      , -41899      , -53    
924  -70802.985  , -65476.889  , -58356.889  , -47    
925  -75889.014  , -77893.313  , -72175.467  , -70    
926  -72533.314  , -76389.007  , -77975.651  , -77    
927  -42607      , -52930.718  , -65415.066  , -70    
928  -63943      , -52201      , -36738      , -49    
929  -76797.605  , -72204.524  , -65910.513  , -58    
930  -77783.084  , -82439.33541, -79758.960  , -80    
931  -53123.419  , -63189.143  , -72413.635  , -78    
932  -57509.752  , -46034      , -34456      , -49    
933  -79283.199  , -77968.652  , -69132.879  , -64    
934  -80709.521  , -84597.790  , -84880.033  , -83    
935  -50720      , -63884.195  , -70715.958  , -79    
936  -61681.314  , -54399      , -33729      , -46    
937  -84876.390  , -80625.395  , -75014.934  , -67    
938  -74959.250  , -79364.730  , -85948.917  , -86    
939  -36896      , -50338      , -61107.293  , -70    
940  -75986.253  , -68239.518  , -58796      , -46    
941  -84817.054  , -88459.630  , -86453.745  , -86    
942  -64135.994  , -72619.953  , -80085.915  , -84    
943  -59140      , -46267      , -36803      , -47    
944  -88412.843  , -84157.095  , -82583.591  , -72    
945  -75122.251  , -81211.319  , -85661.557  , -86    
946  -46631      , -38163      , -53079.678  , -61    
947  -86079.123  , -79686.469  , -76182.159  , -64    
948  -82948.417  , -85608.088  , -87543.559  , -87    
949  -28448      , -44311      , -54318.333  , -66    
950  -83175.112  , -81320.975  , -73066.415  , -67    
951  -82331.795  , -85968.970  , -87326.776  , -87    
952  -35052      , -46547      , -59830.146  , -67    
953  -85227.225  , -78137.959  , -74194.596  , -64    
954  -78887.990  , -83516.403  , -86341.057  , -87    
955  -37707      , -52358.366  , -61173.366  , -71    
956  -82246.534  , -79659.534  , -70693.745  , -64    
957  -84601.889  , -87263.637  , -88028.052  , -87    
958  -54064      , -65730.230  , -71825.182  , -80    
959  -76182.664  , -71627.041  , -59170.544  , -38    
960  -87850.550  , -88417.759  , -87070.828  , -84    
961  -58908      , -66199.683  , -76140.819  , -79    
962  -77353.680  , -66473.291  , -58218.688  , -28    
963  -86863.855  , -88372.517  , -88406.595  , -86    
964  -51353      , -59545.965  , -70762.348  , -75    
965  -82069.943  , -72445.330  , -65781.671  , -52    
966  -84999.925  , -87606.632  , -88719.883  , -88    
967  -42886      , -52136      , -64549.112  , -71    
968  -85841.983  , -77449.733  , -72229.823  , -60    
969  -82304.658  , -85986.510  , -88216.279  , -89    
970  -33810      , -44274      , -57464      , -65    
971  -88655.990  , -81598.964  , -77567.508  , -67    
972  -78767.745  , -83591.301  , -87026.789  , -89    
973  -51763.919  , -35387      , -49807      , -58    
974  -90557.336  , -84495.645  , -81888.569  , -72    
975  -66303.837  , -74229.276  , -80426.583  , -84    
976  -68656.747  , -59699      , -49025      , -41    
977  -88249.746  , -91525.995  , -86821.654  , -85    
978  -48382      , -59519.672  , -68897.589  , -76    
979  -80436.079  , -74185.336  , -66493.091  , -57    
980  -86701.720  , -87228.250  , -91652.886  , -87    
981  -40371      , -52564      , -62822.792  , -71    
982  -83765.530  , -78794.412  , -72305.051  , -64    
983  -75651.501  , -83957.354  , -85728.591  , -91    
984  -57687      , -49798      , -45047      , -56    
985  -88544.269  , -86251.640  , -82480.985  , -77    
986  -64616.159  , -71106.108  , -80612.373  , -83    
987  -74608.944  , -64543      , -57874      , -44    
988  -87816.391  , -89224.825  , -89172.136  , -87    
989  -34419      , -45168      , -58554      , -66    
990  -87661.052  , -81731.334  , -79089.775  , -70    
991  -73348.094  , -80476.840  , -85896.420  , -88    
992  -66658      , -58032      , -47599      , -37    
993  -90065.330  , -87911.302  , -89145.566  , -84    
994  -47441      , -58582      , -68490.514  , -76    
995  -82817.944  , -77896.108  , -71979.336  , -64    
996  -83362.021  , -84630.302  , -88993.745  , -87    
997  -60314      , -47786      , -38732      , -52    
998  -88696.05676, -87499.252  , -85063.288  , -81    
999  -61533.861  , -69883.861  , -80132.861  , -82    
1000  -79422.905  , -71175.457  , -66596.232  , -5    
1001  -85211.010  , -87442.784  , -88413.631  , -8    
1002  -50133      , -39270      , -50263      , -6    
1003  -88434.990  , -83723.632  , -82470.963  , -7    
1004  -70874.208  , -78922.507  , -82932.060  , -8    
1005  -72332.372  , -65407.646  , -57231      , -4    
1006  -88124.303  , -86891.154  , -88950.055  , -8    
1007  -41302      , -46528      , -60632.243  , -6    
1008  -84616.356  , -80935.860  , -76213.609  , -7    
1009  -74425.804  , -79545.478  , -86429.152  , -8    
1010  -66810.889  , -56244      , -49090      , -3    
1011  -87721.453  , -87140.904  , -85918.804  , -8    
1012  -44861      , -54539      , -65696.198  , -7    
1013  -82018.309  , -74940.483  , -71497.762  , -6    
1014  -75644.575  , -80701.140  , -84913.969  , -8    
1015  -57632      , -48130      , -37642      , -4    
1016  -88079.178  , -84691.178  , -84253.772  , -7    
1017  -50487      , -59904      , -68197.298  , -7    
1018  -75933.866  , -69925.620  , -63224.224  , -5    
1019  -77842.734  , -80023.821  , -84532.731  , -8    
1020  -50120      , -37250      , -27852      , -4    
1021  -83068.031  , -84002.139  , -82960.475  , -7    
1022  -45280      , -56872.292  , -63270.507  , -7    
1023  -75619.099  , -71759.503  , -62368.181  , -5    
1024  -67516.176  , -72835.315  , -77066.944  , -7    
1025  -58242.598  , -49120.105  , -39076      , -2    
1026  -80925.751  , -79454.206  , -80996.206  , -7    
1027  -42607      , -52018.205  , -60264.029  , -6    
1028  -75356.575  , -70742.509  , -64196.037  , -5    
1029  -70398.380  , -72535.360  , -77407.809  , -7    
1030  -51478.988  , -38765.027  , -30199      , -4    
1031  -77135.097  , -76440.481  , -75126.744  , -7    
1032  -50254      , -56383      , -64846.847  , -6    
1033  -69309.428  , -61945.833  , -57831.276  , -4    
1034  -66779.471  , -70942.314  , -73385.389  , -7    
1035  -50777.717  , -41542.306  , -30108      , -4    
1036  -72887.371  , -74706.290  , -70716.290  , -7    
1037  -46239      , -55023      , -61568.457  , -6    
1038  -65012.292  , -60472.180  , -53989.298  , -4    
1039  -68491.327  , -72454.527  , -71737.183  , -7    
1040  -39715      , -32733      , -38182      , -4    
1041  -71249.466  , -69154.966  , -66039.153  , -6    
1042  -51568      , -60473.620  , -64163.620  , -6    
1043  -56828.983  , -53258.450  , -43749.924  , -3    
1044  -69458.297  , -70822.822  , -70762.778  , -6    
1045  -29643.709  , -19710      , -44330      , -5    
1046  -66186.403  , -65303.808  , -58703.194  , -5    
1047  -56554.259  , -62207.753  , -66042.861  , -6    
1048  -49708.604  , -42852.758  , -34444.267  , -2    
1049  -67835.532  , -69671.423  , -66381.423  , -6    
1050  -16931      , -42588      , -50235      , -5    
1051  -61898.708  , -57839.128  , -52562.344  , -4    
1052  -58694.590  , -64279.590  , -65674.649  , -6    
1053  -39780.305  , -34000.330  , -22501      , -1    
1054  -66377.306  , -65166.577  , -62727.577  , -5    
1055  -48102      , -53334      , -59774      , -6    
1056  -51818.224  , -43282.800  , -38227.878  , -2    
1057  -63611.300  , -64898.272  , -64520.401  , -6    
1058  -21795      , -11643      , -46929      , -5    
1059  -56020.981  , -53858.983  , -46097.775  , -4    
1060  -55927      , -59931.039  , -62281.039  , -6    
1061  -34843      , -26502.151  , -17077.717  ,  -    
1062  -61581.439  , -57067.388  , -55360.552  , -4    
1063  -50329      , -55597.587  , -58797.587  , -6    
1064  -38409.165  , -30722.931  , -22077.816  , -1    
1065  -60764.729  , -57307.034  , -56253.854  , -5    
1066  -44032      , -50189      , -54519.391  , -5    
1067  -41250.280  , -34303.227  , -26416.935  , -1    
1068  -59256.179  , -56738.135  , -56402.225  , -5    
1069   -1109.439  , -43939      , -49351      , -5    
1070  -43553.865  , -37438.173  , -30268.305  , -2    
1071  -55572.136  , -55846.659  , -51740.766  , -5    
1072  -43203      , -48652      , -52311.585  , -5    
1073  -33394.442  , -25700.179  , -17415.479  ,  -    
1074  -50641.603  , -45062.885  , -42097.940  , -3    
1075  -50984.778  , -52385.802  , -52883.041  , -5    
1076  -12782.594  ,  -3324.661  , -44116      , -4    
1077  -36251.884  , -31997.263  , -22326.122  , -1    
1078  -50359.774  , -49297.416  , -46584.825  , -4    
1079  -44600      , -46678.794  , -49781.794  , -4    
1080  -20250.367  ,  -9262.288  ,  -1929.789  , -4    
1081  -39471.633  , -34374.375  , -27871.188  , -2    
1082  -45447.714  , -44609.073  , -39051.678  , -3    
1083  -45296.112  , -46367.212  , -45811.212  , -4    
1084  -36412      , -41501.557  , -42841.557  , -4    
1085  -16873.221  , -11051.523  ,   1187.428  , -3    
1086  -36688.140  , -31866.811  , -26175.551  , -1    
1087  -43002.379  , -39174.769  , -37864.474  , -3    
1088  -36900.203  , -39906.282  , -41218.543  , -4    
1089   -6383.356  ,   2832.724  , -30879      , -3    
1090  -30211.250  , -22336.400  , -17814.995  ,  -    
1091  -38456.703  , -36485.425  , -33581.954  , -2    
1092  -35634.992  , -38709.442  , -36755.621  , -3    
1093  -26492      , -31176.173  , -34352.054  , -3    
1094  -13239.737  ,  -5068.760  ,   3863.753  , -2    
1095  -32011.069  , -25872.246  , -22565.434  , -1    
1096  -34481.690  , -33405.930  , -31062.849  , -2    
1097  -27237      , -32437.191  , -32533.791  , -3    
1098    -711.531  ,   5723.462  , -25579      , -2    
1099  -18025.544  , -11060.995  ,  -3475.827  ,       
1100  -27496.591  , -25360.638  , -18009.031  , -1    
1101  -31140.975  , -30541.036  , -28339.875  , -2    
1102  -25821      , -29905.689  , -29581.995  , -3    
1103  -20484      , -24400.204  , -27390.372  , -2    
1104   -1499.839  ,   6761.337  , -18779      , -2    
1105  -16954.318  ,  -8987.971  ,  -4014.338  ,       
1106  -25259.399  , -21414.660  , -16524.884  , -1    
1107  -24352.979  , -27345.496  , -25986.409  , -2    
1108  -14690      , -19627      , -23143.484  , -2    
1109     876.284  ,   8666.876  ,  -9688      , -1    
1110  -11875.432  ,  -7982.976  ,    607.390  ,       
1111  -17509.208  , -12970.252  ,  -7713.850  ,  -    
1112  -20027.757  , -18188.360  , -12428.986  ,  -    
1113  -22451.523  , -20054.113  , -17145.300  , -1    
1114  -16749.192  , -21748.074  , -18869.711  , -1    
1115   -2468      ,  -8644      , -13637.674  , -1    
1116    8844.314  ,  16536.789  ,   2329      ,  -    
1117   -3332.504  ,    460.315  ,   8789.626  ,  1    
1118   -8755.009  ,  -4139.817  ,    832.024  ,       
1119   -8627.788  ,  -8659.243  ,  -3515.782  ,       
1120   -5230.276  ,  -6653.080  ,  -6579.162  ,  -    
1121    6465      ,   -180.786  ,  -1199.832  ,  -    
1122   19485.441  ,  16208      ,   9911      ,       
1123    6030.969  ,  10921.557  ,  17868.783  ,  1    
1124    2971.341  ,   3291.363  ,   8144.502  ,  1    
1125    3658.925  ,   4314.943  ,   5887.719  ,       
1126    8358.805  ,   8099.083  ,   5217.844  ,       
1127   16283      ,  12681.359  ,  10397.195  ,       
1128   29277      ,  23669      ,  20819      ,  1    
1129   20218      ,  22934      ,  30311      ,  2    
1130   16938.354  ,  20376.377  ,  24483      ,  2    
1131   16621.748  ,  17203.317  ,  22155      ,  2    
1132   17234.808  ,  17826.697  ,  19386.117  ,  2    
1133   21795.097  ,  18827.328  ,  20234.997  ,  1    
1134   23820.800  ,  21994.303  ,  21638.594  ,  2    
1135   27540.552  ,  23669.571  ,  24310.487  ,  2    
1136   29685.782  ,  27179.458  ,  25851.085  ,  2    
1137   28942.197  ,  28896.386  ,  26772.323  ,  2    
1138   32548.508  ,  30698.209  ,  29586.778  ,  2    
1139   33838.383  ,  30864.244  ,  32174.778  ,  3    
1140   35762.849  ,  33817.544  ,  33425.957  ,  3    
1141   35448.712  ,  35947.972  ,  34610.869  ,  3    
1142   38733.643  ,  37490.046  ,  36920.254  ,  3    
1143   40340.361  ,  38146.828  ,  39956.674  ,  4    
1144   42288.896  ,  40920.654  ,  41044.874  ,  4    
1145   42446.515  ,  43379.438  ,  42902.852  ,  4    
1146   44873.466  ,  45093.467  ,  46571      ,  4    
1147   46164.946  ,  48423.290  ,  49445.025  ,  5    
1148   49392.190  ,  51148.445  ,  54251      ,  5    
1149   51725.565  ,  55666      ,  57990.838  ,  6    
1150   56034      ,  59327      ,  63863      ,  6    
1151   59386.724  ,  64801      ,  68400      ,  6    
1152   64748      ,  69364      ,  63202      ,  5    
1153   65950      ,  63179.566  ,  61902.280  ,  6    
1154   64995      ,  62618.605  ,  63968.605  ,  6    
1155   65490.830  ,  66103.904  ,  68578.468  ,  7    
1156   71898.728  ,  77149      ,  80621      ,  7    
1157   81782      ,  72990.299  ,  72951.535  ,  7    
1158   74136.327  ,  74513.546  ,  75953.919  ,  7    
1159   76817.572  ,  80511      ,  82872.142  ,  8    
1160   88577      ,  93557      ,  84393      ,  8    
1161   84811      ,  84090.583  ,  83800.963  ,  8    
1162   85487.368  ,  87457      ,  87823.929  ,  9    
1163   92607      ,  95867.612  , 100208      ,  9    
1164  105243      ,  93705      ,  93625      ,  9    
1165   95612      ,  98277      ,  99149      , 10    
1166  104250      , 108006.228  , 113135      , 10    
1167  103130      , 103730      , 104788      , 10    
1168  109362      , 110784      , 116058      , 11    
1169  126680      , 111622      , 110077      , 11    
1170  115838      , 118767      , 122653      , 12    
1171  129151      , 133649      , 119148      , 11    
1172  124227      , 125090      , 130714      , 13    
1173  128792      , 129007      , 133582      , 13    
1174  142636      , 133714      , 133487      , 13    
1175  145257      , 138285      , 141209      , 14    
1176  152430      , 145599      , 146282      , 15    
1177  159239      , 150260      , 153825      , 15    
1178  158816      , 163638      , 158861      , 16    
1179  169725      , 171613      , 170825      , 17    
1180  182550      , 185030      , 183570      , 18    
1181  196044      , 199266      , 201427              
1182 };                                               
1183                                                  
1184 //+----------------------------+                 
1185 //| Table of Beta Decay Energy |                 
1186 //+----------------------------+                 
1187 //unit: keV                                      
1188 const G4double G4NucleiPropertiesTableAME12::    
1189                                                  
1190     782.347,      0    ,      0    ,     18.5    
1191    -447.653, -25460    ,      0    ,  24283.6    
1192    -861.893, -11907.551,      0    ,  10663.8    
1193   -1068.035, -16494.482,      0    ,  16119.6    
1194   11509.284,  -1982.412, -13653.347,      0      
1195   24681.813,  17096.957,  13437.110,  -2220.4    
1196  -23956.953,      0    ,  20802    ,  19084.8    
1197    8010.221,  10420.908, -15417.256, -13305.9    
1198       0    ,  26929.008,  11804.956,  13895.9    
1199   12522.664,   4820.302,  -3239.498, -11177.3    
1200    7024.467, -13892.535, -10708.063,      0      
1201  -13098.152, -16077    ,      0    ,  21551.5    
1202  -15137    ,      0    ,  25849    ,  23701      
1203       0    ,  28438    ,  10940.876,  13511.1    
1204   28635    ,  15984.210,  13423.315,   7298.0    
1205   18185.615,   7340.225,   9353.766,  -4004.4    
1206   12553.499,   9068.939,   2610.133,  -4812.3    
1207   14030.415,   1831.800,   4642.264, -14345.0    
1208    7601.833,   3690.417,  -4942.628, -13796.0    
1209    8560.508,  -4232.352,  -6141.601, -18502      
1210    7994.060,   1491.505,  -5398.016, -11976.4    
1211     227.188,   1710.660, -12680.859, -11134.3    
1212    5823.021,    248.508,  -5582.517, -11619.0    
1213    4591.970,   5382.994,  -5491.605,  -6061.7    
1214   10497.392,   3988.426,    167.323,  -5966.1    
1215    7857.705,  10413.096,  -1142.107,    709.5    
1216   16403.851,  12401.817,   7900.306,   4865.1    
1217   20380.157,  10499.257,  12191.631,   2936.9    
1218   21279    ,  18676    ,  15149.625,  10333.0    
1219       0    ,  20633    ,  22543    ,  13504.1    
1220  -11672.950, -20736    ,      0    ,  21768      
1221   -6495.476, -12944.874, -15893    ,      0      
1222    3525.217,  -6426.100,  -7016.480, -17485      
1223    7687.181,   4565.581,   1833.426,  -2220.7    
1224   11405.496,  12063.525,   3108.237,   5687.1    
1225   21890    ,  19313    ,  14370.158,  11411.0    
1226  -14382    , -18564    ,      0    ,  22747      
1227   -7052.394,  -7601.071, -16516    , -13544      
1228    1992.177,    600.770,  -2930.599,  -7444.9    
1229    9845    ,  11940.282,    278.661,   3988.3    
1230       0    ,  20057    ,  18006    ,  12751      
1231  -12886.011, -14420    , -17503    ,      0      
1232    1037.853,  -7634.477,  -8138.601, -16706      
1233    6503.044,   2471.826,   -752.630,  -3207.5    
1234    5903.497,   9302.339,   1974.766,   3974.4    
1235   18472    ,  16776    ,   9650    ,   8722.5    
1236  -15277    ,      0    ,  19776    ,   8821      
1237   -8786.402, -17482    , -14325    ,      0      
1238    -231.088,  -3451.379,  -8694.034, -13699.8    
1239    9158.143,   1629.600,   3695.577,  -4566.6    
1240   13160    ,  10360.782,   8295.751,   4961.9    
1241       0    ,  12957    ,  16236    ,   9208      
1242   -9368.981, -18806    , -15780    ,      0      
1243   -1073.001,  -4798.386,  -9142.777, -13243      
1244    8444.437,    237.345,   2822.813,  -6127.9    
1245   14159    ,  11948.660,   9287.033,   7178.3    
1246  -16143    ,      0    ,  12911    ,  15419      
1247   -9181.066, -10088    , -17316    ,      0      
1248      66.977,  -3366.187,  -5666.019,  -9625.8    
1249    7306.591,  -1674.385,    579.696,  -7171.0    
1250   10254.154,   7963.706,   5940.044,   2138.2    
1251   18928    ,  12215    ,  13317.453,   6340.6    
1252  -10657    ,      0    ,  14829    ,  12758      
1253   -6070.780, -10006.936, -13652    ,      0      
1254   -2921.100,   -106.957,  -8084.271,  -4705.0    
1255    2681.387,    910.200,  -2227.146,  -3988.4    
1256   12294.507,   3762.512,   6588.337,   -654.5    
1257   15798    ,  13370    ,  11036.302,   7304.8    
1258  -10175.212, -14023    ,      0    ,  11681      
1259    -361.618,  -8800.859,  -5126.746, -15824      
1260    1598.189,   -344.774,  -2725.361,  -4579.8    
1261    7550    ,   9750.507,   2292.905,   5372.8    
1262       0    ,  15146    ,  10225    ,   8087.5    
1263   -7104.929, -10600.000,      0    ,  17512      
1264   -4962.881,  -1274.931,  -8535.057,  -6231.4    
1265    2703.457,    683.166,  -1364.680,  -3065.3    
1266    6222.716,   8156.103,    954.907,   4208.9    
1267       0    ,  14189    ,  11534    ,   9115.3    
1268   -5326.096,  -7120.000, -11298    ,      0      
1269    2004.299,  -5717.846,  -1863.987,  -9164.5    
1270    3855.693,   1586.644,   -280.837,  -2238.1    
1271   10324    ,  12484.348,   4688.023,   7490.8    
1272  -11742    ,      0    ,  12519    ,  11719.3    
1273   -4593.081,  -6294.012,  -7500.000, -11724      
1274    4656.251,  -2680.375,    890.595,  -6756.0    
1275   10065.724,   9224.492,   6161.833,   2904.8    
1276  -11475    ,      0    ,  15304    ,   9202      
1277   -1314.546,  -8835.774,  -5022.634, -12813      
1278    3888.269,    282.243,  -1861.690,  -3671.8    
1279   13164    ,   6831.763,   8975.327,   2917.7    
1280   -7282    ,      0    ,  13069    ,  12194      
1281   -4250.996,  -5610.460,  -7620.087,  -9288      
1282    4405.480,   6584.187,    545.944,   2278.6    
1283   13441    ,  10769    ,   9866.671,   6771.1    
1284   -7746.735,  -9444    , -12519    ,      0      
1285    3642.576,  -2005.885,    354.082,  -7882.1    
1286    8483.959,   7465.963,   4141.741,   2895.0    
1287  -12872    ,      0    ,  10796    ,  13748      
1288   -4255.748,  -1573.504,  -9675.978,  -6806.5    
1289    6089.067,   4450.238,   1123.500,    925.5    
1290       0    ,  14916    ,   8274.683,  11575.4    
1291   -6392.653,  -3504.311, -11670.523,  -8939      
1292    2659.671,   1935.471,   -324.708,  -1099.5    
1293   15863    ,  10007    ,  12107.643,   5874.6    
1294   -1854.137,  -8254.560,  -5430.000, -13740      
1295    3637.175,   1357.806,    295.062,  -2043.8    
1296   11495    ,  13283    ,   7503.184,   9048.6    
1297   -7089.266,  -3943.363,  -9881.624,  -7030.0    
1298    4628.414,   2824.654,   1613.520,   -543.7    
1299   14651    ,   8815.000,  10420.396,   4716.8    
1300   -2587.000,  -8965.789,  -5760.000,      0      
1301    2661.748,    764.415,   -543.020,  -2684.7    
1302   11666    ,   6094.952,   8530.732,   2151.2    
1303   -4555.623, -12456.496,      0    ,  12212      
1304     567.208,  -1346.930,  -2736.991,  -4693.2    
1305    7292    ,   9941.136,   3634.565,   6547.0    
1306  -10880.389,  -8254.603,      0    ,  13465      
1307    1508.662,     34.078,  -1416.347,  -3426.0    
1308    8193    ,  11216.383,   5158.397,   7738.5    
1309   -9624.613,  -6663.659, -13135.142,      0      
1310    2606.706,   1113.251,   -215.521,  -2016.4    
1311    9250    ,  12413    ,   6483.328,   9038.1    
1312   -8392.250,  -5219.910, -11765.648,  -8545.5    
1313    3681.852,   2229.769,   1036.800,   -862.1    
1314   10463    ,  13190    ,   7791    ,  10373.6    
1315   -7057.026,  -4031.457, -10504.178,  -7036.9    
1316    4823.555,   3435.488,   2016.462,    322.5    
1317       0    ,  14420    ,   8961    ,  11454      
1318   -6061.691,  -2607.075,  -9092    ,  -5710      
1319    7925.439,   6197.307,   4556.078,   3101.7    
1320   -8957    , -10675    ,      0    ,   9956      
1321    3276.249,  -4704.341,  -1552.693,  -7776.7    
1322   11138    ,   9377.917,   7527.095,   5757.3    
1323   -6250.743,  -7692.245,  -8871.404, -11033      
1324     526.530,   4424.635,  -3656.640,   -299.4    
1325   12193    ,  10259    ,   8585.330,   7237.6    
1326   -4971.117,  -6489.361,  -7714.965,  -9623      
1327    8305.853,   1771.237,   5370.000,  -2680.6    
1328   -7890    ,      0    ,  11383    ,   9752      
1329   -2292.629,  -3770.655,  -5378.654,  -6357.4    
1330    6489.949,   9506.265,   2960.581,   6368.5    
1331  -10066    ,  -6669    , -12929    ,      0      
1332    1408.435,    -52.689,  -1228.425,  -2695.0    
1333   10749    ,  13386    ,   7646    ,  10501.5    
1334   -5929.718,  -2641.560,  -8831.165,  -5343      
1335    7128.746,   5419.579,   2359.836,    766.7    
1336   -8626    , -10433    ,      0    ,  14252      
1337   -2154.027,   1234.264,  -4795.112,  -1680.5    
1338   11141    ,   9909    ,   8407.785,   6572.9    
1339   -4921.836,  -5916.772,  -7436    ,  -9008      
1340    1268.282,   4363.443,  -1255.036,   2121.5    
1341  -12529    ,  -9054    ,      0    ,  11299      
1342   -1196.805,  -2435.964,  -3738.675,  -5037.1    
1343    8350.000,  10249.000,   2153.406,   5066.6    
1344   -8247.448,  -4579.225, -11200    ,  -7890      
1345    2231.774,    970.848,   -354.752,  -1374.9    
1346  -10863    ,      0    ,  12145    ,  14135.0    
1347   -4711.358,  -1252.669,  -7257.479,  -3787.6    
1348    8048.300,   4009.553,   2954.511,   1757.0    
1349   -6924.726,  -8177    ,  -9995    , -11215      
1350   -1233.149,   2058.901,  -3731.405,   -385.7    
1351       0    ,  14104    ,   9057.382,   8038.2    
1352   -3680.496,  -4722.252,  -6186.684,  -7169.7    
1353    5119.674,   6883.674,    -90.238,   2548.2    
1354  -10567    ,  -7154    , -13032    ,      0      
1355    -580.548,  -1222.100,  -2716.969,  -3617.2    
1356    9678    ,  11157    ,   6283.694,   7992.3    
1357   -7077.827,  -3442.721,  -9748.093,  -6093      
1358    5056.565,   4212.829,   2314.616,   -278.3    
1359   -9501    , -10489    ,      0    ,  12418      
1360   -3388.000,   -437.406,  -6045.200,  -2752.6    
1361    9417    ,   8293    ,   6279.847,   5255.6    
1362   -6008.246,  -6701.396,  -8683.387,  -9158      
1363    2181.086,   4508.911,   -744.480,   2161.6    
1364  -12869    ,  -9399    ,      0    ,  10349      
1365     934.108,  -1041.664,  -3443.772,  -5275.4    
1366   11592    ,   6398.215,   8496.573,   3082.5    
1367   -3859.596,  -9391.323,  -5798.099, -11960.5    
1368    5319.139,   4231.629,   2558.881,   1806.0    
1369   -9122.493, -10044    , -11494    ,      0      
1370   -1471.545,   1542.000,  -3878.786,  -1031.8    
1371    9412    ,   8245.824,   6414.361,   5335.4    
1372   -4614.066,  -6546.472,  -8438.945,  -9149.2    
1373    2136.980,   4872.449,   -542.735,   2470.9    
1374  -12713.962,  -8566    ,      0    ,   9259      
1375    -694.616,  -1313.737,  -3637.887,  -3789.4    
1376    6129    ,   8464    ,   3453.551,   5378.6    
1377   -7363.595,  -4114.557, -11340    ,  -7852      
1378    4162.843,   2443.076,   1190.210,     76.3    
1379   -9235.411, -11434    ,      0    ,   7443      
1380    1818.919,  -3990.000,   -598.346,  -6518.9    
1381    8784    ,   6545    ,   5761.813,   3317.3    
1382   -4540.112,  -6482.882,  -6781    ,  -8785      
1383    3963.200,   -717.345,   1968.156,  -3549.6    
1384   -6982    ,      0    ,   9743    ,   7490      
1385   -2094.500,  -3115.813,  -3830.175,  -5583.1    
1386    8906    ,   3690.000,   5199.086,    722.4    
1387   -3570.533,  -9508.527,  -5882.648, -11813      
1388    1364.524,    -60.044,  -1339.145,  -2593.0    
1389   -9933    ,      0    ,   9725    ,   5035      
1390    -882.595,  -6600.615,  -2692.971,  -8797.9    
1391    5653.494,   3835.109,   2517.920,    970.8    
1392   -6855.846,  -8408.491,  -8957    , -10750      
1393    1835.891,  -3290.000,   -317.196,  -5762.2    
1394       0    ,   7648    ,   6436    ,   5119.5    
1395   -4059.580,  -5276.784,  -6246.944,  -7613.9    
1396    5585.000,   1395.059,   2505.521,  -2139.3    
1397   -5779.975, -11499    ,  -7998    ,      0      
1398   -1210.729,  -2439.000,  -3428.327,  -4507.8    
1399    5232    ,   6440.000,   2303    ,   3890.0    
1400   -8535.424,  -5054.923, -10704.904,  -7050.3    
1401    1286.972,   -377.871,  -1591.591,  -2633.4    
1402  -10152    ,      0    ,   7601    ,   3354      
1403   -2161.998,  -7761.208,  -4209.617,  -9994.5    
1404    4004    ,   2350.000,   1009.677,   -746.6    
1405   -8341    ,  -9424.435, -10273    ,      0      
1406   -4514.051,  -1706.837,  -6966.644,  -3501.0    
1407    5269    ,   3200.000,   2125.054,    352.9    
1408   -7686.234,  -8645.115,  -9565    , -10724      
1409   -3457.695,  -1053.179,  -6116.190,  -2847.1    
1410    6157    ,   4330    ,   3200.000,   1492.0    
1411   -6947.054,  -7886.292,  -8946.996,  -9902.2    
1412   -2518.043,   -335.910,  -5072.248,  -2232.7    
1413       0    ,   5412    ,   4304    ,   2600      
1414   -6115.692,  -7169.868,  -8325.155,  -9126.6    
1415     274.523,  -4105.893,  -1513.678,  -6553.9    
1416    5449    ,   3660    ,   2385.000,    470.9    
1417   -7694.263,  -8284.700,  -9442.587,      0      
1418   -5578.718,  -2964.945,  -8238.496,  -4925.7    
1419    1401.024,    497.239,  -1166.000,  -2015.3    
1420   -9457.933,      0    ,   5578    ,    645.9    
1421   -4254.621,  -9671.141,  -6009.858, -11523      
1422   -1062.358,  -2712.592,  -3565.527,  -4939.9    
1423    2079    ,   3103.000,   -845.601,    702.3    
1424  -10988.079,  -7332.499,      0    ,   3709      
1425   -5097.258,  -6503.187,  -7210.066,  -7862.3    
1426    -838.641,  -5557.395,  -2883.465,  -7867.4    
1427    1071.100,   -556.000,  -2147.169,  -3460.7    
1428    5089    ,   1340.000,   2866.000,  -1482.8    
1429   -5821.698, -12238.950,      0    ,   4432      
1430   -4821.329,  -5691.260,  -6417.679,  -8216.6    
1431   -3827.610,  -1310.295,  -6149.622,  -3175.9    
1432    3006.079,   1312.261,      2.467,  -1671.6    
1433   -9216.080,      0    ,   2733    ,   5057.8    
1434   -7874.849,  -4521.405, -10630.329,  -6640.2    
1435   -1971.278,  -2903.471,  -3955.720,  -5024.0    
1436    3074.450,  -1953.820,    569.616,  -4442.0    
1437    4684    ,   3175.881,   2044.806,    313.9    
1438   -8170.977,  -8932.513,      0    ,   6493      
1439   -6138.823,  -3306.812,  -9029.950,  -5464.9    
1440   -1075.761,  -2343.081,  -3585.637,  -5282.7    
1441    5200    ,     96.600,   2228.772,  -2549.4    
1442   -6434.994,      0    ,   3933    ,   2182.7    
1443   -6964.549,  -7585.169,  -8526.083,      0      
1444   -2135.953,  -7351.608,  -4526.495,  -9569.9    
1445    -599.939,  -2201.161,  -3591.166,  -5061.6    
1446    4085    ,   -323.694,   1372.852,  -3460.0    
1447    3917    ,   2990.167,   1704.580,    451.4    
1448   -8261.176,      0    ,   2832    ,   4990      
1449   -7966.347,  -4973.633, -10149.160,      0      
1450   -3844.740,  -4889.775,  -5735.526,  -6716.8    
1451    2992.517,  -1359.088,    -46.188,  -5199.4    
1452    4937    ,   3517    ,   2125.305,    492.0    
1453   -7790.592,      0    ,   8234    ,   2728      
1454   -3892.456,  -8590.365,  -5439.745,      0      
1455   -4538.956,  -5256.401,  -6404.038,  -7148.6    
1456   -1839.397,  -5759.374,  -3313.590,  -7872.9    
1457   -2397.410,  -2908.813,  -3918.395,  -4592.1    
1458    4998.882,  -2878.363,  -1400.559,  -4999.5    
1459    6176    ,   4993    ,   3976.448,    644.0    
1460   -7692.475,      0    ,   7694    ,   3881      
1461   -3792.820,  -8329.310,  -5270.012,      0      
1462   -4615.192,  -4971.841,  -6370.194,  -6704.4    
1463      31.455,  -5143.461,  -3317.109,  -7476.5    
1464    1422.804,    -73.918,   -881.278,  -2145.2    
1465    6645    ,   1019.046,   3269.771,  -1090.2    
1466       0    ,   6297    ,   5495    ,   2768      
1467   -4890.588,  -6947.227,      0    ,   5142      
1468    -320.022,  -4853.139,  -2154.103,  -7501.2    
1469    -656.018,  -1572.776,  -2816.043,  -3514.3    
1470     259.722,   2881.239,  -1841.626,    408.0    
1471    3601    ,   2284.165,   1566.295,    212.3    
1472       0    ,   2850    ,   5555    ,    887.7    
1473   -2715    ,  -7377    ,      0    ,   4324      
1474   -3438.023,  -4107    ,  -5362    ,      0      
1475    -581.568,  -4952    ,  -2067    ,  -6797      
1476    -591.889,  -1559.420,  -2934.915,  -3517.8    
1477    2967.769,  -1407.669,    241.053,  -3868.7    
1478    1826.497,    355.709,   -671.957,  -2030.3    
1479    3870.981,   -640.917,   1113.135,  -2836.1    
1480    2506.324,   1328.372,     44.764,  -1025.6    
1481      45.811,   2124.063,  -2152.124,   -297.9    
1482    1850.300,   1111.431,   -311.606,  -1312.5    
1483    2974.139,  -1310.534,    559.782,  -3621.4    
1484    1945.305,    391.587,   -381.556,  -1817.8    
1485    -499.260,   1337.103,  -2750    ,  -1002      
1486    1243.596,    569.792,  -1029.733,  -2102.1    
1487    2193.533,  -1809.846,   -393.213,  -4112      
1488    1368.242,   -124.220,  -1138.955,  -2442.4    
1489    -932.923,    476.585,  -3139    ,  -1813      
1490    -220.001,  -1478    ,  -2676    ,  -3941      
1491   -2258.343,  -1021.735,  -4771    ,  -3061      
1492   -1756.255,  -3103    ,  -3995    ,  -5310      
1493   -3940    ,  -2325    ,  -6208    ,      0      
1494   -3293    ,  -4536    ,  -5263    ,      0      
1495   -5415    ,  -3598    ,      0    ,   2524      
1496   -4616    ,      0    ,   3395    ,    -74.3    
1497    2770    ,   1277.287,    897.383,   -810.7    
1498    2377    ,  -1350.000,   -123.335,  -3810      
1499    -613.073,  -2474.564,  -3095    ,  -4264      
1500   -5250    ,  -3472    ,      0    ,   2352      
1501       0    ,     38.764,   1779.577,  -2055      
1502    -377.219,  -1440.373,  -3012.904,  -3884      
1503   -3693    ,  -2362    ,  -5866    ,      0      
1504   -4980    ,      0    ,   3051    ,   -650.1    
1505     720    ,    289.620,  -1043.376,  -1962.8    
1506   -1969    ,   -367    ,  -3922.670,  -2476.0    
1507   -3261    ,  -4341    ,      0    ,   2275      
1508       0    ,     80    ,   -486    ,  -1742      
1509   -2665    ,   -872    ,  -4524    ,  -2875      
1510   -3756    ,  -5128    ,      0    ,   1525      
1511    -600    ,  -1058    ,  -2324    ,  -3078      
1512   -1422    ,  -5274    ,  -3506    ,      0      
1513       0    ,   1545    ,  -2661    ,   -881      
1514   -2929    ,  -3886    ,  -5138    ,  -6128      
1515   -4498    ,      0    ,   -667    ,  -1667      
1516    -863    ,  -5624    ,  -3965    ,      0      
1517    -215    ,  -4575    ,  -2434    ,  -6756      
1518       0    ,    227    ,  -3671    ,  -2017      
1519       0    ,  -2924    ,  -1333    ,  -4945      
1520       0    ,   -683    ,  -4148    ,  -2480      
1521       0    ,  -3565    ,  -1871    ,  -5386      
1522   -4821    ,      0    ,  -2539    ,  -3075      
1523   -1888    ,      0    ,  -3161    ,  -3653      
1524   -2480    ,      0    ,  -3731    ,  -4153      
1525   -3222    ,      0    ,      0                  
1526                                                  
1527 };                                               
1528                                                  
1529 // Reduced Table of A for shorter index searc    
1530 //         The index in this table coincide w    
1531 //         For each A value shortTable[A-1] h    
1532 //         the 1st occurrence in the indexArr    
1533 //                                               
1534 const G4int G4NucleiPropertiesTableAME12::sho    
1535 {                                                
1536     0,    2,    3,    6,    9,   13,   18,       
1537    39,   44,   50,   56,   62,   68,   75,       
1538   104,  113,  122,  131,  140,  149,  158,  1    
1539   196,  206,  216,  226,  237,  247,  258,  2    
1540   303,  314,  326,  338,  350,  363,  375,  3    
1541   426,  438,  450,  462,  474,  486,  499,  5    
1542   549,  562,  574,  586,  598,  610,  622,  6    
1543   670,  683,  695,  708,  721,  733,  746,  7    
1544   796,  809,  822,  835,  848,  862,  875,  8    
1545   930,  944,  958,  972,  986, 1001, 1015, 10    
1546  1075, 1090, 1104, 1119, 1133, 1148, 1163, 11    
1547  1225, 1240, 1256, 1271, 1287, 1303, 1319, 13    
1548  1382, 1398, 1414, 1430, 1447, 1463, 1480, 14    
1549  1546, 1562, 1578, 1595, 1611, 1628, 1644, 16    
1550  1710, 1726, 1743, 1760, 1777, 1794, 1810, 18    
1551  1876, 1893, 1909, 1926, 1942, 1959, 1975, 19    
1552  2041, 2058, 2074, 2090, 2106, 2122, 2138, 21    
1553  2200, 2216, 2231, 2246, 2260, 2274, 2288, 23    
1554  2343, 2356, 2368, 2380, 2393, 2406, 2419, 24    
1555  2470, 2483, 2496, 2509, 2522, 2534, 2546, 25    
1556  2594, 2607, 2620, 2632, 2644, 2655, 2667, 26    
1557  2714, 2725, 2737, 2749, 2761, 2773, 2785, 27    
1558  2833, 2844, 2855, 2866, 2877, 2887, 2897, 29    
1559  2937, 2947, 2957, 2967, 2977, 2987, 2996, 30    
1560  3034, 3044, 3053, 3062, 3070, 3079, 3087, 30    
1561  3118, 3126, 3134, 3142, 3150, 3158, 3166, 31    
1562  3196, 3203, 3210, 3217, 3224, 3231, 3238, 32    
1563  3264, 3269, 3275, 3281, 3286, 3291, 3296, 33    
1564  3315, 3319, 3322, 3325, 3327, 3330, 3332, 33    
1565  3342, 3345, 3347, 3350, 3352                    
1566 };                                               
1567