| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
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| 2 | Dataset Name: Hahn1 (Hahn1.dat)
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| 3 |
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| 4 | File Format: ASCII
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| 5 | Starting Values (lines 41 to 47)
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| 6 | Certified Values (lines 41 to 52)
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| 7 | Data (lines 61 to 296)
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| 8 |
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| 9 | Procedure: Nonlinear Least Squares Regression
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| 10 |
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| 11 | Description: These data are the result of a NIST study involving
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| 12 | the thermal expansion of copper. The response
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| 13 | variable is the coefficient of thermal expansion, and
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| 14 | the predictor variable is temperature in degrees
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| 15 | kelvin.
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| 16 |
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| 17 |
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| 18 | Reference: Hahn, T., NIST (197?).
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| 19 | Copper Thermal Expansion Study.
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| 20 |
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| 21 |
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| 22 |
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| 23 |
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| 24 |
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| 25 | Data: 1 Response (y = coefficient of thermal expansion)
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| 26 | 1 Predictor (x = temperature, degrees kelvin)
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| 27 | 236 Observations
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| 28 | Average Level of Difficulty
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| 29 | Observed Data
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| 30 |
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| 31 | Model: Rational Class (cubic/cubic)
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| 32 | 7 Parameters (b1 to b7)
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| 33 |
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| 34 | y = (b1+b2*x+b3*x**2+b4*x**3) /
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| 35 | (1+b5*x+b6*x**2+b7*x**3) + e
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| 36 |
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| 37 |
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| 38 | Starting values Certified Values
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| 39 |
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| 40 | Start 1 Start 2 Parameter Standard Deviation
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| 41 | b1 = 10 1 1.0776351733E+00 1.7070154742E-01
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| 42 | b2 = -1 -0.1 -1.2269296921E-01 1.2000289189E-02
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| 43 | b3 = 0.05 0.005 4.0863750610E-03 2.2508314937E-04
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| 44 | b4 = -0.00001 -0.000001 -1.4262662514E-06 2.7578037666E-07
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| 45 | b5 = -0.05 -0.005 -5.7609940901E-03 2.4712888219E-04
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| 46 | b6 = 0.001 0.0001 2.4053735503E-04 1.0449373768E-05
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| 47 | b7 = -0.000001 -0.0000001 -1.2314450199E-07 1.3027335327E-08
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| 48 |
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| 49 | Residual Sum of Squares: 1.5324382854E+00
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| 50 | Residual Standard Deviation: 8.1803852243E-02
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| 51 | Degrees of Freedom: 229
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| 52 | Number of Observations: 236
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| 53 |
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| 54 |
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| 55 |
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| 56 |
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| 57 |
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| 58 |
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| 59 |
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| 60 | Data: y x
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| 61 | .591E0 24.41E0
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| 62 | 1.547E0 34.82E0
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| 63 | 2.902E0 44.09E0
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| 64 | 2.894E0 45.07E0
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| 65 | 4.703E0 54.98E0
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| 66 | 6.307E0 65.51E0
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| 67 | 7.03E0 70.53E0
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| 68 | 7.898E0 75.70E0
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| 69 | 9.470E0 89.57E0
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| 70 | 9.484E0 91.14E0
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| 71 | 10.072E0 96.40E0
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| 72 | 10.163E0 97.19E0
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| 73 | 11.615E0 114.26E0
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| 74 | 12.005E0 120.25E0
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| 75 | 12.478E0 127.08E0
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| 76 | 12.982E0 133.55E0
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| 77 | 12.970E0 133.61E0
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| 78 | 13.926E0 158.67E0
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| 79 | 14.452E0 172.74E0
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| 80 | 14.404E0 171.31E0
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| 81 | 15.190E0 202.14E0
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| 82 | 15.550E0 220.55E0
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| 83 | 15.528E0 221.05E0
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| 84 | 15.499E0 221.39E0
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| 85 | 16.131E0 250.99E0
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| 86 | 16.438E0 268.99E0
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| 87 | 16.387E0 271.80E0
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| 88 | 16.549E0 271.97E0
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| 89 | 16.872E0 321.31E0
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| 90 | 16.830E0 321.69E0
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| 91 | 16.926E0 330.14E0
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| 92 | 16.907E0 333.03E0
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| 93 | 16.966E0 333.47E0
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| 94 | 17.060E0 340.77E0
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| 95 | 17.122E0 345.65E0
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| 96 | 17.311E0 373.11E0
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| 97 | 17.355E0 373.79E0
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| 98 | 17.668E0 411.82E0
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| 99 | 17.767E0 419.51E0
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| 100 | 17.803E0 421.59E0
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| 101 | 17.765E0 422.02E0
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| 102 | 17.768E0 422.47E0
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| 103 | 17.736E0 422.61E0
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| 104 | 17.858E0 441.75E0
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| 105 | 17.877E0 447.41E0
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| 106 | 17.912E0 448.7E0
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| 107 | 18.046E0 472.89E0
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| 108 | 18.085E0 476.69E0
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| 109 | 18.291E0 522.47E0
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| 110 | 18.357E0 522.62E0
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| 111 | 18.426E0 524.43E0
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| 112 | 18.584E0 546.75E0
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| 113 | 18.610E0 549.53E0
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| 114 | 18.870E0 575.29E0
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| 115 | 18.795E0 576.00E0
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| 116 | 19.111E0 625.55E0
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| 117 | .367E0 20.15E0
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| 118 | .796E0 28.78E0
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| 119 | 0.892E0 29.57E0
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| 120 | 1.903E0 37.41E0
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| 121 | 2.150E0 39.12E0
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| 122 | 3.697E0 50.24E0
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| 123 | 5.870E0 61.38E0
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| 124 | 6.421E0 66.25E0
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| 125 | 7.422E0 73.42E0
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| 126 | 9.944E0 95.52E0
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| 127 | 11.023E0 107.32E0
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| 128 | 11.87E0 122.04E0
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| 129 | 12.786E0 134.03E0
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| 130 | 14.067E0 163.19E0
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| 131 | 13.974E0 163.48E0
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| 132 | 14.462E0 175.70E0
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| 133 | 14.464E0 179.86E0
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| 134 | 15.381E0 211.27E0
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| 135 | 15.483E0 217.78E0
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| 136 | 15.59E0 219.14E0
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| 137 | 16.075E0 262.52E0
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| 138 | 16.347E0 268.01E0
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| 139 | 16.181E0 268.62E0
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| 140 | 16.915E0 336.25E0
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| 141 | 17.003E0 337.23E0
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| 142 | 16.978E0 339.33E0
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| 143 | 17.756E0 427.38E0
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| 144 | 17.808E0 428.58E0
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| 145 | 17.868E0 432.68E0
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| 146 | 18.481E0 528.99E0
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| 147 | 18.486E0 531.08E0
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| 148 | 19.090E0 628.34E0
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| 149 | 16.062E0 253.24E0
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| 150 | 16.337E0 273.13E0
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| 151 | 16.345E0 273.66E0
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| 152 | 16.388E0 282.10E0
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| 153 | 17.159E0 346.62E0
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| 154 | 17.116E0 347.19E0
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| 155 | 17.164E0 348.78E0
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| 156 | 17.123E0 351.18E0
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| 157 | 17.979E0 450.10E0
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| 158 | 17.974E0 450.35E0
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| 159 | 18.007E0 451.92E0
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| 160 | 17.993E0 455.56E0
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| 161 | 18.523E0 552.22E0
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| 162 | 18.669E0 553.56E0
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| 163 | 18.617E0 555.74E0
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| 164 | 19.371E0 652.59E0
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| 165 | 19.330E0 656.20E0
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| 166 | 0.080E0 14.13E0
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| 167 | 0.248E0 20.41E0
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| 168 | 1.089E0 31.30E0
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| 169 | 1.418E0 33.84E0
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| 170 | 2.278E0 39.70E0
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| 171 | 3.624E0 48.83E0
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| 172 | 4.574E0 54.50E0
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| 173 | 5.556E0 60.41E0
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| 174 | 7.267E0 72.77E0
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| 175 | 7.695E0 75.25E0
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| 176 | 9.136E0 86.84E0
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| 177 | 9.959E0 94.88E0
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| 178 | 9.957E0 96.40E0
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| 179 | 11.600E0 117.37E0
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| 180 | 13.138E0 139.08E0
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| 181 | 13.564E0 147.73E0
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| 182 | 13.871E0 158.63E0
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| 183 | 13.994E0 161.84E0
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| 184 | 14.947E0 192.11E0
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| 185 | 15.473E0 206.76E0
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| 186 | 15.379E0 209.07E0
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| 187 | 15.455E0 213.32E0
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| 188 | 15.908E0 226.44E0
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| 189 | 16.114E0 237.12E0
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| 190 | 17.071E0 330.90E0
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| 191 | 17.135E0 358.72E0
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| 192 | 17.282E0 370.77E0
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| 193 | 17.368E0 372.72E0
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| 194 | 17.483E0 396.24E0
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| 195 | 17.764E0 416.59E0
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| 196 | 18.185E0 484.02E0
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| 197 | 18.271E0 495.47E0
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| 198 | 18.236E0 514.78E0
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| 199 | 18.237E0 515.65E0
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| 200 | 18.523E0 519.47E0
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| 201 | 18.627E0 544.47E0
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| 202 | 18.665E0 560.11E0
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| 203 | 19.086E0 620.77E0
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| 204 | 0.214E0 18.97E0
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| 205 | 0.943E0 28.93E0
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| 206 | 1.429E0 33.91E0
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| 207 | 2.241E0 40.03E0
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| 208 | 2.951E0 44.66E0
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| 209 | 3.782E0 49.87E0
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| 210 | 4.757E0 55.16E0
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| 211 | 5.602E0 60.90E0
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| 212 | 7.169E0 72.08E0
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| 213 | 8.920E0 85.15E0
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| 214 | 10.055E0 97.06E0
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| 215 | 12.035E0 119.63E0
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| 216 | 12.861E0 133.27E0
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| 217 | 13.436E0 143.84E0
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| 218 | 14.167E0 161.91E0
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| 219 | 14.755E0 180.67E0
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| 220 | 15.168E0 198.44E0
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| 221 | 15.651E0 226.86E0
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| 222 | 15.746E0 229.65E0
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| 223 | 16.216E0 258.27E0
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| 224 | 16.445E0 273.77E0
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| 225 | 16.965E0 339.15E0
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| 226 | 17.121E0 350.13E0
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| 227 | 17.206E0 362.75E0
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| 228 | 17.250E0 371.03E0
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| 229 | 17.339E0 393.32E0
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| 230 | 17.793E0 448.53E0
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| 231 | 18.123E0 473.78E0
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| 232 | 18.49E0 511.12E0
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| 233 | 18.566E0 524.70E0
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| 234 | 18.645E0 548.75E0
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| 235 | 18.706E0 551.64E0
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| 236 | 18.924E0 574.02E0
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| 237 | 19.1E0 623.86E0
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| 238 | 0.375E0 21.46E0
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| 239 | 0.471E0 24.33E0
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| 240 | 1.504E0 33.43E0
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| 241 | 2.204E0 39.22E0
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| 242 | 2.813E0 44.18E0
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| 243 | 4.765E0 55.02E0
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| 244 | 9.835E0 94.33E0
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| 245 | 10.040E0 96.44E0
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| 246 | 11.946E0 118.82E0
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| 247 | 12.596E0 128.48E0
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| 248 | 13.303E0 141.94E0
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| 249 | 13.922E0 156.92E0
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| 250 | 14.440E0 171.65E0
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| 251 | 14.951E0 190.00E0
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| 252 | 15.627E0 223.26E0
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| 253 | 15.639E0 223.88E0
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| 254 | 15.814E0 231.50E0
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| 255 | 16.315E0 265.05E0
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| 256 | 16.334E0 269.44E0
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| 257 | 16.430E0 271.78E0
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| 258 | 16.423E0 273.46E0
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| 259 | 17.024E0 334.61E0
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| 260 | 17.009E0 339.79E0
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| 261 | 17.165E0 349.52E0
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| 262 | 17.134E0 358.18E0
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| 263 | 17.349E0 377.98E0
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| 264 | 17.576E0 394.77E0
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| 265 | 17.848E0 429.66E0
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| 266 | 18.090E0 468.22E0
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| 267 | 18.276E0 487.27E0
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| 268 | 18.404E0 519.54E0
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| 269 | 18.519E0 523.03E0
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| 270 | 19.133E0 612.99E0
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| 271 | 19.074E0 638.59E0
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| 272 | 19.239E0 641.36E0
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| 273 | 19.280E0 622.05E0
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| 274 | 19.101E0 631.50E0
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| 275 | 19.398E0 663.97E0
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| 276 | 19.252E0 646.9E0
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| 277 | 19.89E0 748.29E0
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| 278 | 20.007E0 749.21E0
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| 279 | 19.929E0 750.14E0
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| 280 | 19.268E0 647.04E0
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| 281 | 19.324E0 646.89E0
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| 282 | 20.049E0 746.9E0
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| 283 | 20.107E0 748.43E0
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| 284 | 20.062E0 747.35E0
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| 285 | 20.065E0 749.27E0
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| 286 | 19.286E0 647.61E0
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| 287 | 19.972E0 747.78E0
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| 288 | 20.088E0 750.51E0
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| 289 | 20.743E0 851.37E0
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| 290 | 20.83E0 845.97E0
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| 291 | 20.935E0 847.54E0
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| 292 | 21.035E0 849.93E0
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| 293 | 20.93E0 851.61E0
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| 294 | 21.074E0 849.75E0
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| 295 | 21.085E0 850.98E0
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| 296 | 20.935E0 848.23E0
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