297 lines
9.8 KiB
Plaintext
297 lines
9.8 KiB
Plaintext
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NIST/ITL StRD
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Dataset Name: Hahn1 (Hahn1.dat)
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File Format: ASCII
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Starting Values (lines 41 to 47)
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Certified Values (lines 41 to 52)
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Data (lines 61 to 296)
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Procedure: Nonlinear Least Squares Regression
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Description: These data are the result of a NIST study involving
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the thermal expansion of copper. The response
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variable is the coefficient of thermal expansion, and
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the predictor variable is temperature in degrees
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kelvin.
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Reference: Hahn, T., NIST (197?).
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Copper Thermal Expansion Study.
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Data: 1 Response (y = coefficient of thermal expansion)
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1 Predictor (x = temperature, degrees kelvin)
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236 Observations
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Average Level of Difficulty
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Observed Data
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Model: Rational Class (cubic/cubic)
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7 Parameters (b1 to b7)
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y = (b1+b2*x+b3*x**2+b4*x**3) /
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(1+b5*x+b6*x**2+b7*x**3) + e
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Starting values Certified Values
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Start 1 Start 2 Parameter Standard Deviation
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b1 = 10 1 1.0776351733E+00 1.7070154742E-01
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b2 = -1 -0.1 -1.2269296921E-01 1.2000289189E-02
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b3 = 0.05 0.005 4.0863750610E-03 2.2508314937E-04
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b4 = -0.00001 -0.000001 -1.4262662514E-06 2.7578037666E-07
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b5 = -0.05 -0.005 -5.7609940901E-03 2.4712888219E-04
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b6 = 0.001 0.0001 2.4053735503E-04 1.0449373768E-05
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b7 = -0.000001 -0.0000001 -1.2314450199E-07 1.3027335327E-08
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Residual Sum of Squares: 1.5324382854E+00
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Residual Standard Deviation: 8.1803852243E-02
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Degrees of Freedom: 229
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Number of Observations: 236
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Data: y x
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.591E0 24.41E0
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1.547E0 34.82E0
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2.902E0 44.09E0
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2.894E0 45.07E0
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4.703E0 54.98E0
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6.307E0 65.51E0
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7.03E0 70.53E0
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7.898E0 75.70E0
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9.470E0 89.57E0
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9.484E0 91.14E0
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10.072E0 96.40E0
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10.163E0 97.19E0
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11.615E0 114.26E0
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12.005E0 120.25E0
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12.478E0 127.08E0
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12.982E0 133.55E0
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12.970E0 133.61E0
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13.926E0 158.67E0
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14.452E0 172.74E0
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14.404E0 171.31E0
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15.190E0 202.14E0
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15.550E0 220.55E0
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15.528E0 221.05E0
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15.499E0 221.39E0
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16.131E0 250.99E0
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16.438E0 268.99E0
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16.387E0 271.80E0
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16.549E0 271.97E0
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16.872E0 321.31E0
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16.830E0 321.69E0
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16.926E0 330.14E0
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16.907E0 333.03E0
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16.966E0 333.47E0
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17.060E0 340.77E0
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17.122E0 345.65E0
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17.311E0 373.11E0
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17.355E0 373.79E0
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17.668E0 411.82E0
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17.767E0 419.51E0
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17.803E0 421.59E0
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17.765E0 422.02E0
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17.768E0 422.47E0
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17.736E0 422.61E0
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17.858E0 441.75E0
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17.877E0 447.41E0
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17.912E0 448.7E0
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18.046E0 472.89E0
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18.085E0 476.69E0
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18.291E0 522.47E0
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18.357E0 522.62E0
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18.426E0 524.43E0
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18.584E0 546.75E0
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18.610E0 549.53E0
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18.870E0 575.29E0
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18.795E0 576.00E0
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19.111E0 625.55E0
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.367E0 20.15E0
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.796E0 28.78E0
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0.892E0 29.57E0
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1.903E0 37.41E0
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2.150E0 39.12E0
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3.697E0 50.24E0
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5.870E0 61.38E0
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6.421E0 66.25E0
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7.422E0 73.42E0
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9.944E0 95.52E0
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11.023E0 107.32E0
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11.87E0 122.04E0
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12.786E0 134.03E0
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14.067E0 163.19E0
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13.974E0 163.48E0
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14.462E0 175.70E0
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14.464E0 179.86E0
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15.381E0 211.27E0
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15.483E0 217.78E0
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15.59E0 219.14E0
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16.075E0 262.52E0
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16.347E0 268.01E0
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16.181E0 268.62E0
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16.915E0 336.25E0
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17.003E0 337.23E0
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16.978E0 339.33E0
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17.756E0 427.38E0
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17.808E0 428.58E0
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17.868E0 432.68E0
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18.481E0 528.99E0
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18.486E0 531.08E0
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19.090E0 628.34E0
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16.062E0 253.24E0
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16.337E0 273.13E0
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16.345E0 273.66E0
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16.388E0 282.10E0
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17.159E0 346.62E0
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17.116E0 347.19E0
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17.164E0 348.78E0
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17.123E0 351.18E0
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17.979E0 450.10E0
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17.974E0 450.35E0
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18.007E0 451.92E0
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17.993E0 455.56E0
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18.523E0 552.22E0
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18.669E0 553.56E0
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18.617E0 555.74E0
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19.371E0 652.59E0
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19.330E0 656.20E0
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0.080E0 14.13E0
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0.248E0 20.41E0
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1.089E0 31.30E0
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1.418E0 33.84E0
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2.278E0 39.70E0
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3.624E0 48.83E0
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4.574E0 54.50E0
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5.556E0 60.41E0
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7.267E0 72.77E0
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7.695E0 75.25E0
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9.136E0 86.84E0
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9.959E0 94.88E0
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9.957E0 96.40E0
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11.600E0 117.37E0
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13.138E0 139.08E0
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13.564E0 147.73E0
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13.871E0 158.63E0
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13.994E0 161.84E0
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14.947E0 192.11E0
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15.473E0 206.76E0
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15.379E0 209.07E0
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15.455E0 213.32E0
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15.908E0 226.44E0
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16.114E0 237.12E0
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17.071E0 330.90E0
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17.135E0 358.72E0
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17.282E0 370.77E0
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17.368E0 372.72E0
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17.483E0 396.24E0
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17.764E0 416.59E0
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18.185E0 484.02E0
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18.271E0 495.47E0
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18.236E0 514.78E0
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18.237E0 515.65E0
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18.523E0 519.47E0
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18.627E0 544.47E0
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18.665E0 560.11E0
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19.086E0 620.77E0
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0.214E0 18.97E0
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0.943E0 28.93E0
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1.429E0 33.91E0
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2.241E0 40.03E0
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2.951E0 44.66E0
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3.782E0 49.87E0
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4.757E0 55.16E0
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5.602E0 60.90E0
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7.169E0 72.08E0
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8.920E0 85.15E0
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10.055E0 97.06E0
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12.035E0 119.63E0
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12.861E0 133.27E0
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13.436E0 143.84E0
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14.167E0 161.91E0
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14.755E0 180.67E0
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15.168E0 198.44E0
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15.651E0 226.86E0
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15.746E0 229.65E0
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16.216E0 258.27E0
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16.445E0 273.77E0
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16.965E0 339.15E0
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17.121E0 350.13E0
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17.206E0 362.75E0
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17.250E0 371.03E0
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17.339E0 393.32E0
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17.793E0 448.53E0
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18.123E0 473.78E0
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18.49E0 511.12E0
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18.566E0 524.70E0
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18.645E0 548.75E0
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18.706E0 551.64E0
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18.924E0 574.02E0
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19.1E0 623.86E0
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0.375E0 21.46E0
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0.471E0 24.33E0
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1.504E0 33.43E0
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2.204E0 39.22E0
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2.813E0 44.18E0
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4.765E0 55.02E0
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9.835E0 94.33E0
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10.040E0 96.44E0
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11.946E0 118.82E0
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12.596E0 128.48E0
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13.303E0 141.94E0
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13.922E0 156.92E0
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14.440E0 171.65E0
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14.951E0 190.00E0
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15.627E0 223.26E0
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15.639E0 223.88E0
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15.814E0 231.50E0
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16.315E0 265.05E0
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16.334E0 269.44E0
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16.430E0 271.78E0
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16.423E0 273.46E0
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17.024E0 334.61E0
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17.009E0 339.79E0
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17.165E0 349.52E0
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17.134E0 358.18E0
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17.349E0 377.98E0
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17.576E0 394.77E0
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17.848E0 429.66E0
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18.090E0 468.22E0
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18.276E0 487.27E0
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18.519E0 523.03E0
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19.133E0 612.99E0
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19.074E0 638.59E0
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19.239E0 641.36E0
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19.280E0 622.05E0
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19.101E0 631.50E0
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19.398E0 663.97E0
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19.252E0 646.9E0
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19.89E0 748.29E0
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20.007E0 749.21E0
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19.929E0 750.14E0
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19.268E0 647.04E0
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19.324E0 646.89E0
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20.049E0 746.9E0
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20.107E0 748.43E0
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20.062E0 747.35E0
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20.065E0 749.27E0
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19.286E0 647.61E0
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19.972E0 747.78E0
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20.088E0 750.51E0
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20.743E0 851.37E0
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20.83E0 845.97E0
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20.935E0 847.54E0
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21.035E0 849.93E0
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20.93E0 851.61E0
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21.074E0 849.75E0
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21.085E0 850.98E0
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20.935E0 848.23E0
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