calculate_magnitudes.py

# these functions calculate local magnitudes
import numpy as np


def get_component_orient(filename):

    orient = filename.split('.')

    if orient[2][2] == 'Z':
        comp = 0
    elif orient[2][2] == 'E' or orient[2][2] == 'N':
        comp = 1

    return comp

# get Richer (1935; 1958), extended by Eiby & Muir (1968)
def calc_R35(comp, logA, repi):
    if repi <= 7.5:
        logA0 = 1.4
    elif repi > 7.5 and repi <= 12.5:
        logA0 = 1.5
    elif repi > 12.5 and repi <= 17.5:
        logA0 = 1.6
    elif repi > 17.5 and repi <= 22.5:
        logA0 = 1.7
    elif repi > 22.5 and repi <= 27.5:
        logA0 = 1.9
    elif repi > 27.5 and repi <= 32.5:
        logA0 = 2.1
    elif repi > 32.5 and repi <= 37.5:
        logA0 = 2.3
    elif repi > 37.5 and repi <= 42.5:
        logA0 = 2.4
    elif repi > 42.5 and repi <= 47.5:
        logA0 = 2.5
    elif repi > 47.5 and repi <= 52.5:
        logA0 = 2.6
    elif repi > 52.5 and repi <= 57.5:
        logA0 = 2.7
    elif repi > 57.5 and repi <= 72.5:
        logA0 = 2.8
    elif repi > 72.5 and repi <= 87.5:
        logA0 = 2.9
    elif repi > 87.5 and repi <= 105:
        logA0 = 3.0
    elif repi > 105 and repi <= 125:
        logA0 = 3.1
    elif repi > 125 and repi <= 145:
        logA0 = 3.2
    elif repi > 145 and repi <= 165:
        logA0 = 3.3
    elif repi > 165 and repi <= 185:
        logA0 = 3.4
    elif repi > 185 and repi <= 205:
        logA0 = 3.5
    elif repi > 205 and repi <= 215:
        logA0 = 3.6
    elif repi > 215 and repi <= 225:
        logA0 = 3.65
    elif repi > 225 and repi <= 245:
        logA0 = 3.7
    elif repi > 245 and repi <= 265:
        logA0 = 3.8
    elif repi > 265 and repi <= 285:
        logA0 = 3.9
    elif repi > 285 and repi <= 305:
        logA0 = 4.0
    elif repi > 305 and repi <= 325:
        logA0 = 4.1
    elif repi > 325 and repi <= 345:
        logA0 = 4.2
    elif repi > 345 and repi <= 375:
        logA0 = 4.3
    elif repi > 375 and repi <= 395:
        logA0 = 4.4
    elif repi > 395 and repi <= 425:
        logA0 = 4.5
    elif repi > 425 and repi <= 465:
        logA0 = 4.6
    elif repi > 465 and repi <= 505:
        logA0 = 4.7
    elif repi > 505 and repi <= 555:
        logA0 = 4.8
    elif repi > 555 and repi <= 605:
        logA0 = 4.9
    # Extend beyond intended distance (Eiby & Muir, 1968)
    elif repi > 605 and repi <= 625:
        logA0 = 5.0
    elif repi > 625 and repi <= 675:
        logA0 = 5.1
    elif repi > 675 and repi <= 725:
        logA0 = 5.2
    elif repi > 725 and repi <= 775:
        logA0 = 5.3
    elif repi > 775 and repi <= 825:
        logA0 = 5.4
    elif repi > 825 and repi <= 875:
        logA0 = 5.5
    elif repi > 875 and repi <= 925:
        logA0 = 5.55
    elif repi > 925 and repi <= 975:
        logA0 = 5.6
    elif repi > 975 and repi <= 1050:
        logA0 = 5.7
    elif repi > 1050 and repi <= 1150:
        logA0 = 5.8
    elif repi > 1150 and repi <= 1250:
        logA0 = 5.9
    elif repi > 1250 and repi <= 1350:
        logA0 = 6.0
    elif repi > 1350 and repi <= 1450:
        logA0 = 6.05
    elif repi > 1450 and repi <= 1550:
        logA0 = 6.15
    elif repi > 1550 and repi <= 1650:
        logA0 = 6.2

    R35 = logA + logA0

    magstr = 'R35:\t' + str("%0.2f" % R35)
    if comp == 0: # if vertical
        magstr = magstr + '*'
    #print(magstr)

    return R35

# Greenhalgh and Singh (1986) - Sth Australia
def calc_GS86(comp, logA, repi):
    GS86 = 0.7 + logA + 1.10 * np.log10(repi) + 0.0013 * repi

    magstr = 'GS86:\t' + str("%0.2f" % GS86)
    if comp == 1: # if horizontal
        magstr = magstr + '*'
    #print(magstr)

    return GS86

# Hutton & Boore (1987) - SoCal
def calc_HB87(comp, logA, rhyp):
    logA0 = 1.11 * np.log10(rhyp / 100.) + 0.00189 * (rhyp - 100) + 3.0
    HB87 = logA + logA0

    magstr = 'HB87:\t' + str("%0.2f" % HB87)
    if comp == 0: # if vertical
        magstr = magstr + '*'
    #print(magstr)

    return HB87
    
def calc_HB87_IASPEI(comp, logA, rhyp):
    logA0 = 1.11 * np.log10(rhyp) + 0.00189 * rhyp - 2.09
    HB87_IASPEI = logA + logA0

    magstr = 'HB87 IASPEI:\t' + str("%0.2f" % HB87_IASPEI)
    if comp == 0: # if vertical
        magstr = magstr + '*'
    #print(magstr)

    return HB87_IASPEI

# Bakun & Joyner (1984) - SoCal
def calc_BJ84(comp, logA, rhyp):
    logA0 = np.log10(rhyp) + 0.00301 * rhyp + 0.70
    BJ84 = logA + logA0

    magstr = 'HB87:\t' + str("%0.2f" % BJ84)
    if comp == 0: # if vertical
        magstr = magstr + '*'
    #print(magstr)

    return BJ84

# Kradolfer (1984) - SED (from Edwards etal 2015 - Seismic monitoring and analysis of deep geothermal projects in St Gallen and Basel, Switzerland)
def calc_SED84(comp, logA, rhyp):
    '''
    Assumes W-A amplification factor of 2800
    '''    
    from numpy import nan, log10
    
    # convert logA assuming W-A amplification of 2800
    logA2800 = log10(2800. * (10**logA) / 2080.)
    
    # pre-allocate value
    SED84 = nan
    Ce = 0.1
    if comp == 0: # assume vertical only
        if rhyp <= 60.:
            Cd = 0.0180 * rhyp + 1.77
        else:
            Cd = 0.0038 * rhyp + 2.62
        
        SED84 = logA2800 + Cd + Ce
            
    magstr = 'SED84:\t' + str("%0.2f" % SED84)
    #print(magstr)

    return SED84

# Gaull & Gregson (1991) - WA
def calc_GG91(comp, logA, rhyp):
    # GG91 adjust V to H (p 252)
    '''
    if comp == 0: # if vertical
        logA += np.log10(1.34)
    '''
    GG91 = logA + 1.137 * np.log10(rhyp) + 0.000657 * rhyp + 0.66
    
    magstr = 'GG91:\t' + str("%0.2f" % GG91)
    if comp == 1: # if horizontal
        magstr = magstr + '*'
    #print(magstr)

    return GG91


# Michael-Lieba & Malafant (1992) - SEA Aust
def calc_MLM92(comp, logA, rhyp):
    if comp == 0: # if vertical
        MLM92 = logA + 1.34 * np.log10(rhyp / 100.) + 0.00055 * (rhyp - 100) + 3.13
    elif comp == 1: # if horizontal
        MLM92 = logA + 1.34 * np.log10(rhyp / 100.) + 0.00055 * (rhyp - 100) + 3.0

    magstr = 'MLM92:\t' + str("%0.2f" % MLM92)
    #print(magstr)

    return MLM92

# Wilkie et al. (1996) - SE Aust
def calc_WGW96(comp, logA, rhyp):
    WGW96 = logA + 0.75 + np.log10(rhyp) + 0.0056*rhyp*np.exp(-0.0013*rhyp)
    
    magstr = 'WGW96:\t' + str("%0.2f" % WGW96)
    if comp == 1: # if horizontal
        magstr = magstr + '*'
    #print(magstr)

    return WGW96
    
# Allen 2010 (unpub) - SE Aust
def calc_A10(comp, logA, rhyp):
    c1 = -1.5602
    c2 = -0.2792
    c3 = -2.0468
    r1 = 90.
    r2 = 150.
    if rhyp <= r1:
        logASEA = c1*np.log10(rhyp)
    elif rhyp > r1 and rhyp <= r2:
        logASEA = c1*np.log10(r1) + c2*np.log10(rhyp/r1)
    elif rhyp > r2:
        logASEA = c1*np.log10(r1) + c2*np.log10(r2/r1) + c3*np.log10(rhyp/r2)

    A10 = logA - (logASEA + 0.0619)
    
    magstr = 'A10:\t' + str("%0.2f" % A10)
    if comp == 1: # if horizontal
        magstr = magstr + '*'
    #print(magstr)

    return A10
    
def calc_A16(logA, rhyp, comp):
    from numpy import loadtxt, log10
    from os import getcwd
    cwd = getcwd()
    if cwd.startswith('/nas'):
        coeffile = '/nas/gemd/ehp/georisk_earthquake/hazard/Magnitudes/2017_SEA_ML_working//A16_coeffs.txt'
    else:
        coeffile = '//Users//trev//Dropbox//Magnitudes//2016_working//A16_coeffs.txt'
        
    dat = loadtxt(coeffile)
    b1 = dat[0]
    b2 = dat[1]
    b3 = dat[2]
    r1 = dat[3]
    r2 = dat[4]
    c0 = dat[5] - 3.0 # norm 
    c1 = dat[6] # h/v correction - constant
    c1l = dat[7] # h/v correction - distance dependent
    c2l = dat[8] # h/v correction - distance dependent
    
    if rhyp <= r1:
        logASEA = b1*log10(rhyp) + c0
    elif rhyp > r1 and rhyp <= r2:
        logASEA = b1*log10(r1) + b2*log10(rhyp/r1) + c0
    elif rhyp > r2:
        logASEA = b1*log10(r1) + b2*log10(r2/r1) + b3*log10(rhyp/r2) + c0

    #A16 = logA - logASEA + c1 # constant H/V
    A16 = logA - logASEA + (c1l * log10(rhyp) + c2l) # linear H/V
    
    magstr = 'A16:\t' + str("%0.2f" % A16)
    if comp == 1: # if horizontal
        magstr = magstr + '*'
    #print(magstr)
    
    return A16

'''    
# calc Yenier 2017
def calc_Y17(logA, rhyp, comp):
    from numpy import loadtxt, log10
    
    r1 = 100.
    r2 = 220.
    b1 = 1.399
    b2 = 0.727
    b3 = 1.806
    c1 = 0.102
    c2 = 4.354
    c3 = -1.579
    
    if rhyp <= r1:
        logY17 = b1*log10(rhyp) + 0.001*rhyp + c1
    elif rhyp > r1 and rhyp <= r2:
        logY17 = b2*log10(rhyp) + 0.001*rhyp + c2
    elif rhyp > r2:
        logY17 = b3*log10(rhyp) + 0.001*rhyp + c3

    Y17 = logA - logY17
    
    magstr = 'A17:\t' + str("%0.1f" % A16)
    if comp == 0: # if vertical
        magstr = magstr + '*'
    print(magstr
    
    return Y17
'''    

def get_ml_corrections(logA, rhyp, eqdep):
    from numpy import sqrt
    
    repi = sqrt(rhyp**2 - eqdep**2)
    
    # set dummy comp value
    comp = 1

    # get Richer (1935; 1958), extended by Eiby & Muir (1968)
    R35 = calc_R35(comp, logA, repi)

    # calculate Greenhalgh & Singh (1986)
    GS86 = calc_GS86(comp, logA, repi)

    # calculate Hutton & Boore (1987)
    HB87 = calc_HB87(comp, logA, rhyp)
    
    # calculate Bakun & Joyner (1984)
    BJ84 = calc_BJ84(comp, logA, rhyp)

    # calculate GG91
    GG91 = calc_GG91(comp, logA, rhyp)    
    
    # calculate MLM92
    MLM92 = calc_MLM92(comp, logA, rhyp)
    
    # calculate WGW96
    WGW96 = calc_WGW96(comp, logA, rhyp)
    
    # calculate A10
    A10 = calc_A10(comp, logA, rhyp)
    
    mlDict = {'logA':logA,
              'repi':repi,
              'rhyp':rhyp,
              'R35':R35,
              'GS86':GS86,
              'HB87':HB87,
              'BJ84':BJ84,
              'GG91':GG91,
              'MLM92':MLM92,
              'WGW96':WGW96,
              'A10':A10}
    
    return mlDict
    

def main(filename, logA, rhyp, eqdep):

    # get component orientation
    comp = get_component_orient(filename)

    # calculate epicentral distance
    repi = np.sqrt(rhyp**2 - eqdep**2)

    # header text
    print('\nML calculated from record: ' + filename \
        + ' at Rhyp = ' + str("%0.2f" % rhyp) + ' km')

    # get Richer (1935; 1958), extended by Eiby & Muir (1968)
    R35 = calc_R35(comp, logA, repi)

    # calculate Greenhalgh & Singh (1986)
    GS86 = calc_GS86(comp, logA, repi)

    # calculate Hutton & Boore (1987)
    HB87 = calc_HB87(comp, logA, rhyp)
    
    # calculate Bakun & Joyner (1984)
    BJ84 = calc_BJ84(comp, logA, rhyp)

    # calculate GG91
    GG91 = calc_GG91(comp, logA, rhyp)    
    
    # calculate MLM92
    MLM92 = calc_MLM92(comp, logA, rhyp)
    
    # calculate WGW96
    WGW96 = calc_WGW96(comp, logA, rhyp)
    
    # calculate A10
    A10 = calc_A10(comp, logA, rhyp)
    
    mlDict = {'logA':logA,
              'repi':repi,
              'rhyp':rhyp,
              'R35':R35,
              'GS86':GS86,
              'HB87':HB87,
              'BJ84':BJ84,
              'GG91':GG91,
              'MLM92':MLM92,
              'WGW96':WGW96,
              'A10':A10}

    # add disclaimer
    print('\n* Does not use correct component')

    # now write ML data to file
    import write_data
    write_data.write_ML_dat(filename, rhyp, repi, logA, R35, BJ84, HB87, GG91, MLM92, A10)  
    
    # export logA values for further analysis
    
    from datetime import datetime
    from os import getcwd
    
    cwd = getcwd()
    if cwd.startswith('/nas'):
        logAfile = '//nas//users//u56903//unix//Code//my_codes//log_A_values.csv'
    else:
        logAfile = '//Users//trev//Documents//Code//my_codes//log_A_values.csv'
    lines = open(logAfile).read()

    # append new line                      
    dt = datetime.strptime(filename.split('.')[0], '%Y%m%d%H%M')
    
    newline = ','.join((dt.strftime('%Y-%m-%d %H:%M:%S'), filename.split('.')[1], filename.split('.')[2], \
                        str('%0.1f' % rhyp), str('%0.1f' % repi), str('%0.4f' % logA)))
    
    f = open(logAfile, 'w')
    f.write(lines + '\n' + newline)
    f.close()
    
    return mlDict

# get wood-anderson amplitudes from period and amplitude data
def get_WA_amps(dism_nm, domfreq):
    '''
    dism_nm = displacement amplitude in nm (as defined on ANSN event sheets)
    domfreq = frequency in Hz
    '''    
    #from numpy import pi
    
    magfact = getWAmagnification(domfreq)
    
    # convert nm to A-A amps in mm
    wa_disp_mm = magfact * dism_nm * 1E-6
    #wa_disp_mm = 2080 * dism_nm * 1E-6
    
    #wa_amp = mm_vel / (2*pi*domfreq)
    
    return wa_disp_mm, magfact

# calculates MLM92 magnitude from period and amplitude data
def calc_ML_from_ATdata(disp_nm, domT, rhyp, depth):
    from numpy import log10, sqrt
    
    domfreq = 1. / domT
    
    repi = sqrt(rhyp**2 - depth**2)
    
    wa_disp_mm, magfact = get_WA_amps(disp_nm, domfreq)
    
    comp = 0 # assume vertical
    
    MLM92 = calc_MLM92(comp, log10(wa_disp_mm), rhyp)
    R35 = calc_R35(comp, log10(wa_disp_mm), repi)
    
    # try using alternative W-A factors
    wafact = 2900./2080.
    MLM92_oldfact = calc_MLM92(comp, log10(wa_disp_mm*wafact), rhyp)
    R35_oldfact = calc_R35(comp, log10(wa_disp_mm*wafact), repi)
    
    return R35, MLM92, R35_oldfact, MLM92_oldfact, wa_disp_mm, magfact
    
       
# get Wood-Anderson magnification factor for given frequency     
def getWAmagnification(domfreq):
    '''
    domfreq = frequency in Hz
    '''    
    from numpy import interp, array, exp, log
    #import matplotlib.pyplot as plt
    
    freqmag = array([[0.024414063, 1.936645162],
                  [0.048828125, 7.740480423 ],
                  [0.073242188, 17.39297669 ],
                  [0.09765625, 30.86250237  ],
                  [0.122070313, 48.10323955 ],
                  [0.146484375, 69.05374914 ],
                  [0.170898438, 93.63526884 ],
                  [0.1953125, 121.7498526   ],
                  [0.219726563, 153.2784841 ],
                  [0.244140625, 188.0793188 ],
                  [0.268554688, 225.9862227 ],
                  [0.29296875, 266.8077866  ],
                  [0.317382813, 310.3269871 ],
                  [0.341796875, 356.3016497 ],
                  [0.366210938, 404.4658342 ],
                  [0.390625, 454.5322106    ],
                  [0.415039063, 506.1954337 ],
                  [0.439453125, 559.1364474 ],
                  [0.463867188, 613.0275788 ],
                  [0.48828125, 667.5382104  ],
                  [0.512695313, 722.3407682 ],
                  [0.537109375, 777.1167278 ],
                  [0.561523438, 831.5623383 ],
                  [0.5859375, 885.3937818   ],
                  [0.610351563, 938.3515351 ],
                  [0.634765625, 990.2037612 ],
                  [0.659179688, 1040.748637 ],
                  [0.68359375, 1089.815596  ],
                  [0.708007813, 1137.265533 ],
                  [0.732421875, 1182.990084 ],
                  [0.756835938, 1226.910122 ],
                  [0.78125, 1268.97364      ],
                  [0.805664063, 1309.153193 ],
                  [0.830078125, 1347.443083 ],
                  [0.854492188, 1383.856411 ],
                  [0.87890625, 1418.422153  ],
                  [0.903320313, 1451.182336 ],
                  [0.927734375, 1482.189407 ],
                  [0.952148438, 1511.503827 ],
                  [0.9765625, 1539.19194    ],
                  [1.000976563, 1565.324097 ],
                  [1.025390625, 1589.973072 ],
                  [1.049804688, 1613.212714 ],
                  [1.07421875, 1635.116851  ],
                  [1.098632813, 1655.7584   ],
                  [1.123046875, 1675.208675 ],
                  [1.147460938, 1693.536851 ],
                  [1.171875, 1710.809575    ],
                  [1.196289063, 1727.090689 ],
                  [1.220703125, 1742.441057 ],
                  [1.245117188, 1756.918465 ],
                  [1.26953125, 1770.57759   ],
                  [1.293945313, 1783.470016 ],
                  [1.318359375, 1795.64429  ],
                  [1.342773438, 1807.146004 ],
                  [1.3671875, 1818.017904   ],
                  [1.391601563, 1828.300007 ],
                  [1.416015625, 1838.029734 ],
                  [1.440429688, 1847.242042 ],
                  [1.46484375, 1855.969562  ],
                  [1.489257813, 1864.242737 ],
                  [1.513671875, 1872.089952 ],
                  [1.538085938, 1879.537671 ],
                  [1.5625, 1886.610554      ],
                  [1.586914063, 1893.331585 ],
                  [1.611328125, 1899.72218  ],
                  [1.635742188, 1905.802301 ],
                  [1.66015625, 1911.59055   ],
                  [1.684570313, 1917.10427  ],
                  [1.708984375, 1922.359635 ],
                  [1.733398438, 1927.371728 ],
                  [1.7578125, 1932.154624   ],
                  [1.782226563, 1936.721462 ],
                  [1.806640625, 1941.084509 ],
                  [1.831054688, 1945.255223 ],
                  [1.85546875, 1949.244317  ],
                  [1.879882813, 1953.061804 ],
                  [1.904296875, 1956.717053 ],
                  [1.928710938, 1960.218832 ],
                  [1.953125, 1963.575351    ],
                  [1.977539063, 1966.794304 ],
                  [2.001953125, 1969.882902 ],
                  [2.026367188, 1972.847909 ],
                  [2.05078125, 1975.695672  ],
                  [2.075195313, 1978.43215  ],
                  [2.099609375, 1981.062942 ],
                  [2.124023438, 1983.593309 ],
                  [2.1484375, 1986.028203   ],
                  [2.172851563, 1988.372278 ],
                  [2.197265625, 1990.629921 ],
                  [2.221679688, 1992.805261 ],
                  [2.24609375, 1994.902192  ],
                  [2.270507813, 1996.924383 ],
                  [2.294921875, 1998.8753   ],
                  [2.319335938, 2000.758213 ],
                  [2.34375, 2002.576209     ],
                  [2.368164063, 2004.332209 ],
                  [2.392578125, 2006.028971 ],
                  [2.416992188, 2007.669106 ],
                  [2.44140625, 2009.255086  ],
                  [2.465820313, 2010.789251 ],
                  [2.490234375, 2012.273817 ],
                  [2.514648438, 2013.710887 ],
                  [2.5390625, 2015.102453   ],
                  [2.563476563, 2016.450406 ],
                  [2.587890625, 2017.756542 ],
                  [2.612304688, 2019.022565 ],
                  [2.63671875, 2020.250095  ],
                  [2.661132813, 2021.440673 ],
                  [2.685546875, 2022.595761 ],
                  [2.709960938, 2023.716755 ],
                  [2.734375, 2024.804979    ],
                  [2.758789063, 2025.861698 ],
                  [2.783203125, 2026.888114 ],
                  [2.807617188, 2027.885374 ],
                  [2.83203125, 2028.854571  ],
                  [2.856445313, 2029.79675  ],
                  [2.880859375, 2030.712904 ],
                  [2.905273438, 2031.603984 ],
                  [2.9296875, 2032.470899   ],
                  [2.954101563, 2033.314514 ],
                  [2.978515625, 2034.135658 ],
                  [3.002929688, 2034.935125 ],
                  [3.02734375, 2035.713671  ],
                  [3.051757813, 2036.472023 ],
                  [3.076171875, 2037.210873 ],
                  [3.100585938, 2037.930888 ],
                  [3.125, 2038.632703       ],
                  [3.149414063, 2039.316928 ],
                  [3.173828125, 2039.984149 ],
                  [3.198242188, 2040.634926 ],
                  [3.22265625, 2041.269798  ],
                  [3.247070313, 2041.889279 ],
                  [3.271484375, 2042.493866 ],
                  [3.295898438, 2043.084035 ],
                  [3.3203125, 2043.660241   ],
                  [3.344726563, 2044.222924 ],
                  [3.369140625, 2044.772506 ],
                  [3.393554688, 2045.309392 ],
                  [3.41796875, 2045.833972  ],
                  [3.442382813, 2046.346621 ],
                  [3.466796875, 2046.8477   ],
                  [3.491210938, 2047.337556 ],
                  [3.515625, 2047.816524    ],
                  [3.540039063, 2048.284926 ],
                  [3.564453125, 2048.743071 ],
                  [3.588867188, 2049.191259 ],
                  [3.61328125, 2049.629778  ],
                  [3.637695313, 2050.058905 ],
                  [3.662109375, 2050.478908 ],
                  [3.686523438, 2050.890046 ],
                  [3.7109375, 2051.292568   ],
                  [3.735351563, 2051.686714 ],
                  [3.759765625, 2052.072716 ],
                  [3.784179688, 2052.450799 ],
                  [3.80859375, 2052.821179  ],
                  [3.833007813, 2053.184064 ],
                  [3.857421875, 2053.539658 ],
                  [3.881835938, 2053.888155 ],
                  [3.90625, 2054.229745     ],
                  [3.930664063, 2054.564609 ],
                  [3.955078125, 2054.892924 ],
                  [3.979492188, 2055.21486  ],
                  [4.00390625, 2055.530584  ],
                  [4.028320313, 2055.840255 ],
                  [4.052734375, 2056.144027 ],
                  [4.077148438, 2056.44205  ],
                  [4.1015625, 2056.73447    ],
                  [4.125976563, 2057.021427 ],
                  [4.150390625, 2057.303057 ],
                  [4.174804688, 2057.579492 ],
                  [4.19921875, 2057.85086   ],
                  [4.223632813, 2058.117284 ],
                  [4.248046875, 2058.378885 ],
                  [4.272460938, 2058.635779 ],
                  [4.296875, 2058.88808     ],
                  [4.321289063, 2059.135896 ],
                  [4.345703125, 2059.379334 ],
                  [4.370117188, 2059.618498 ],
                  [4.39453125, 2059.853487  ],
                  [4.418945313, 2060.084398 ],
                  [4.443359375, 2060.311327 ],
                  [4.467773438, 2060.534364 ],
                  [4.4921875, 2060.753599   ],
                  [4.516601563, 2060.969119 ],
                  [4.541015625, 2061.181006 ],
                  [4.565429688, 2061.389344 ],
                  [4.58984375, 2061.594211  ],
                  [4.614257813, 2061.795684 ],
                  [4.638671875, 2061.993839 ],
                  [4.663085938, 2062.188748 ],
                  [4.6875, 2062.380482      ],
                  [4.711914063, 2062.569111 ],
                  [4.736328125, 2062.754702 ],
                  [4.760742188, 2062.937319 ],
                  [4.78515625, 2063.117027  ],
                  [4.809570313, 2063.293887 ],
                  [4.833984375, 2063.467959 ],
                  [4.858398438, 2063.639303 ],
                  [4.8828125, 2063.807975   ],
                  [4.907226563, 2063.974031 ],
                  [4.931640625, 2064.137525 ],
                  [4.956054688, 2064.298509 ],
                  [4.98046875, 2064.457036  ],
                  [5.004882813, 2064.613155 ],
                  [5.029296875, 2064.766916 ],
                  [5.053710938, 2064.918364 ],
                  [5.078125, 2065.067548    ],
                  [5.102539063, 2065.214513 ],
                  [5.126953125, 2065.359301 ],
                  [5.151367188, 2065.501957 ],
                  [5.17578125, 2065.642522  ],
                  [5.200195313, 2065.781037 ],
                  [5.224609375, 2065.917543 ],
                  [5.249023438, 2066.052077 ],
                  [5.2734375, 2066.184679   ],
                  [5.297851563, 2066.315384 ],
                  [5.322265625, 2066.44423  ],
                  [5.346679688, 2066.571251 ],
                  [5.37109375, 2066.696483  ],
                  [5.395507813, 2066.819958 ],
                  [5.419921875, 2066.941709 ],
                  [5.444335938, 2067.06177  ],
                  [5.46875, 2067.18017      ],
                  [5.493164063, 2067.296942 ],
                  [5.517578125, 2067.412114 ],
                  [5.541992188, 2067.525715 ],
                  [5.56640625, 2067.637776  ],
                  [5.590820313, 2067.748322 ],
                  [5.615234375, 2067.857383 ],
                  [5.639648438, 2067.964983 ],
                  [5.6640625, 2068.071151   ],
                  [5.688476563, 2068.17591  ],
                  [5.712890625, 2068.279286 ],
                  [5.737304688, 2068.381303 ],
                  [5.76171875, 2068.481985  ],
                  [5.786132813, 2068.581356 ],
                  [5.810546875, 2068.679437 ],
                  [5.834960938, 2068.776253 ],
                  [5.859375, 2068.871824    ],
                  [5.883789063, 2068.966171 ],
                  [5.908203125, 2069.059316 ],
                  [5.932617188, 2069.151279 ],
                  [5.95703125, 2069.24208   ],
                  [5.981445313, 2069.331739 ],
                  [6.005859375, 2069.420274 ],
                  [6.030273438, 2069.507706 ],
                  [6.0546875, 2069.594051   ],
                  [6.079101563, 2069.679328 ],
                  [6.103515625, 2069.763555 ],
                  [6.127929688, 2069.846749 ],
                  [6.15234375, 2069.928927  ],
                  [6.176757813, 2070.010105 ],
                  [6.201171875, 2070.0903   ],
                  [6.225585938, 2070.169527 ],
                  [6.25, 2070.247802        ],
                  [6.274414063, 2070.325141 ],
                  [6.298828125, 2070.401558 ],
                  [6.323242188, 2070.477068 ],
                  [6.34765625, 2070.551686  ],
                  [6.372070313, 2070.625425 ],
                  [6.396484375, 2070.698299 ],
                  [6.420898438, 2070.770322 ],
                  [6.4453125, 2070.841507   ],
                  [6.469726563, 2070.911867 ],
                  [6.494140625, 2070.981415 ],
                  [6.518554688, 2071.050163 ],
                  [6.54296875, 2071.118124  ],
                  [6.567382813, 2071.185309 ],
                  [6.591796875, 2071.251731 ],
                  [6.616210938, 2071.317401 ],
                  [6.640625, 2071.38233     ],
                  [6.665039063, 2071.44653  ],
                  [6.689453125, 2071.510011 ],
                  [6.713867188, 2071.572785 ],
                  [6.73828125, 2071.634861  ],
                  [6.762695313, 2071.696251 ],
                  [6.787109375, 2071.756963 ],
                  [6.811523438, 2071.817009 ],
                  [6.8359375, 2071.876398   ],
                  [6.860351563, 2071.935139 ],
                  [6.884765625, 2071.993242 ],
                  [6.909179688, 2072.050716 ],
                  [6.93359375, 2072.107571  ],
                  [6.958007813, 2072.163815 ],
                  [6.982421875, 2072.219457 ],
                  [7.006835938, 2072.274505 ],
                  [7.03125, 2072.328969     ],
                  [7.055664063, 2072.382855 ],
                  [7.080078125, 2072.436173 ],
                  [7.104492188, 2072.488931 ],
                  [7.12890625, 2072.541136  ],
                  [7.153320313, 2072.592796 ],
                  [7.177734375, 2072.643919 ],
                  [7.202148438, 2072.694511 ],
                  [7.2265625, 2072.744582   ],
                  [7.250976563, 2072.794136 ],
                  [7.275390625, 2072.843183 ],
                  [7.299804688, 2072.891728 ],
                  [7.32421875, 2072.939778  ],
                  [7.348632813, 2072.987341 ],
                  [7.373046875, 2073.034423 ],
                  [7.397460938, 2073.08103  ],
                  [7.421875, 2073.127169    ],
                  [7.446289063, 2073.172845 ],
                  [7.470703125, 2073.218066 ],
                  [7.495117188, 2073.262837 ],
                  [7.51953125, 2073.307164  ],
                  [7.543945313, 2073.351054 ],
                  [7.568359375, 2073.394511 ],
                  [7.592773438, 2073.437541 ],
                  [7.6171875, 2073.480151   ],
                  [7.641601563, 2073.522346 ],
                  [7.666015625, 2073.56413  ],
                  [7.690429688, 2073.605509 ],
                  [7.71484375, 2073.64649   ],
                  [7.739257813, 2073.687075 ],
                  [7.763671875, 2073.727272 ],
                  [7.788085938, 2073.767084 ],
                  [7.8125, 2073.806517      ],
                  [7.836914063, 2073.845576 ],
                  [7.861328125, 2073.884264 ],
                  [7.885742188, 2073.922588 ],
                  [7.91015625, 2073.960551  ],
                  [7.934570313, 2073.998157 ],
                  [7.958984375, 2074.035413 ],
                  [7.983398438, 2074.072321 ],
                  [8.0078125, 2074.108886   ],
                  [8.032226563, 2074.145113 ],
                  [8.056640625, 2074.181005 ],
                  [8.081054688, 2074.216567 ],
                  [8.10546875, 2074.251803  ],
                  [8.129882813, 2074.286716 ],
                  [8.154296875, 2074.321311 ],
                  [8.178710938, 2074.355592 ],
                  [8.203125, 2074.389562    ],
                  [8.227539063, 2074.423225 ],
                  [8.251953125, 2074.456585 ],
                  [8.276367188, 2074.489645 ],
                  [8.30078125, 2074.52241   ],
                  [8.325195313, 2074.554882 ],
                  [8.349609375, 2074.587065 ],
                  [8.374023438, 2074.618962 ],
                  [8.3984375, 2074.650578   ],
                  [8.422851563, 2074.681914 ],
                  [8.447265625, 2074.712975 ],
                  [8.471679688, 2074.743764 ],
                  [8.49609375, 2074.774283  ],
                  [8.520507813, 2074.804537 ],
                  [8.544921875, 2074.834528 ],
                  [8.569335938, 2074.864259 ],
                  [8.59375, 2074.893733     ],
                  [8.618164063, 2074.922953 ],
                  [8.642578125, 2074.951922 ],
                  [8.666992188, 2074.980643 ],
                  [8.69140625, 2075.009119  ],
                  [8.715820313, 2075.037353 ],
                  [8.740234375, 2075.065346 ],
                  [8.764648438, 2075.093103 ],
                  [8.7890625, 2075.120625   ],
                  [8.813476563, 2075.147916 ],
                  [8.837890625, 2075.174978 ],
                  [8.862304688, 2075.201813 ],
                  [8.88671875, 2075.228424  ],
                  [8.911132813, 2075.254814 ],
                  [8.935546875, 2075.280985 ],
                  [8.959960938, 2075.306939 ],
                  [8.984375, 2075.332678    ],
                  [9.008789063, 2075.358206 ],
                  [9.033203125, 2075.383525 ],
                  [9.057617188, 2075.408636 ],
                  [9.08203125, 2075.433542  ],
                  [9.106445313, 2075.458246 ],
                  [9.130859375, 2075.482749 ],
                  [9.155273438, 2075.507053 ],
                  [9.1796875, 2075.531161   ],
                  [9.204101563, 2075.555076 ],
                  [9.228515625, 2075.578798 ],
                  [9.252929688, 2075.60233  ],
                  [9.27734375, 2075.625674  ],
                  [9.301757813, 2075.648833 ],
                  [9.326171875, 2075.671807 ],
                  [9.350585938, 2075.694599 ],
                  [9.375, 2075.717211       ],
                  [9.399414063, 2075.739645 ],
                  [9.423828125, 2075.761903 ],
                  [9.448242188, 2075.783986 ],
                  [9.47265625, 2075.805897  ],
                  [9.497070313, 2075.827636 ],
                  [9.521484375, 2075.849207 ],
                  [9.545898438, 2075.87061  ],
                  [9.5703125, 2075.891848   ],
                  [9.594726563, 2075.912922 ],
                  [9.619140625, 2075.933833 ],
                  [9.643554688, 2075.954584 ],
                  [9.66796875, 2075.975177  ],
                  [9.692382813, 2075.995611 ],
                  [9.716796875, 2076.015891 ],
                  [9.741210938, 2076.036016 ],
                  [9.765625, 2076.055988    ],
                  [9.790039063, 2076.07581  ],
                  [9.814453125, 2076.095482 ],
                  [9.838867188, 2076.115006 ],
                  [9.86328125, 2076.134384  ],
                  [9.887695313, 2076.153617 ],
                  [9.912109375, 2076.172706 ],
                  [9.936523438, 2076.191653 ],
                  [9.9609375, 2076.210459   ],
                  [9.985351563, 2076.229126 ],
                  [10.00976563, 2076.247655 ],
                  [10.03417969, 2076.266048 ],
                  [10.05859375, 2076.284305 ],
                  [10.08300781, 2076.302428 ],
                  [10.10742188, 2076.320419 ],
                  [10.13183594, 2076.338278 ],
                  [10.15625, 2076.356007    ],
                  [10.18066406, 2076.373608 ],
                  [10.20507813, 2076.391081 ],
                  [10.22949219, 2076.408427 ],
                  [10.25390625, 2076.425649 ],
                  [10.27832031, 2076.442747 ],
                  [10.30273438, 2076.459722 ],
                  [10.32714844, 2076.476575 ],
                  [10.3515625, 2076.493308  ],
                  [10.37597656, 2076.509922 ],
                  [10.40039063, 2076.526418 ],
                  [10.42480469, 2076.542797 ],
                  [10.44921875, 2076.55906  ],
                  [10.47363281, 2076.575208 ],
                  [10.49804688, 2076.591242 ],
                  [10.52246094, 2076.607164 ],
                  [10.546875, 2076.622975   ],
                  [10.57128906, 2076.638675 ],
                  [10.59570313, 2076.654265 ],
                  [10.62011719, 2076.669747 ],
                  [10.64453125, 2076.685121 ],
                  [10.66894531, 2076.700389 ],
                  [10.69335938, 2076.715552 ],
                  [10.71777344, 2076.73061  ],
                  [10.7421875, 2076.745564  ],
                  [10.76660156, 2076.760416 ],
                  [10.79101563, 2076.775166 ],
                  [10.81542969, 2076.789815 ],
                  [10.83984375, 2076.804365 ],
                  [10.86425781, 2076.818815 ],
                  [10.88867188, 2076.833168 ],
                  [10.91308594, 2076.847423 ],
                  [10.9375, 2076.861583     ],
                  [10.96191406, 2076.875647 ],
                  [10.98632813, 2076.889616 ],
                  [11.01074219, 2076.903491 ],
                  [11.03515625, 2076.917274 ],
                  [11.05957031, 2076.930965 ],
                  [11.08398438, 2076.944564 ],
                  [11.10839844, 2076.958074 ],
                  [11.1328125, 2076.971493  ],
                  [11.15722656, 2076.984824 ],
                  [11.18164063, 2076.998067 ],
                  [11.20605469, 2077.011222 ],
                  [11.23046875, 2077.024291 ],
                  [11.25488281, 2077.037275 ],
                  [11.27929688, 2077.050173 ],
                  [11.30371094, 2077.062987 ],
                  [11.328125, 2077.075718   ],
                  [11.35253906, 2077.088366 ],
                  [11.37695313, 2077.100931 ],
                  [11.40136719, 2077.113416 ],
                  [11.42578125, 2077.12582  ],
                  [11.45019531, 2077.138144 ],
                  [11.47460938, 2077.150388 ],
                  [11.49902344, 2077.162554 ],
                  [11.5234375, 2077.174642  ],
                  [11.54785156, 2077.186653 ],
                  [11.57226563, 2077.198588 ],
                  [11.59667969, 2077.210446 ],
                  [11.62109375, 2077.222229 ],
                  [11.64550781, 2077.233938 ],
                  [11.66992188, 2077.245572 ],
                  [11.69433594, 2077.257133 ],
                  [11.71875, 2077.268621    ],
                  [11.74316406, 2077.280037 ],
                  [11.76757813, 2077.291382 ],
                  [11.79199219, 2077.302656 ],
                  [11.81640625, 2077.313859 ],
                  [11.84082031, 2077.324992 ],
                  [11.86523438, 2077.336056 ],
                  [11.88964844, 2077.347052 ],
                  [11.9140625, 2077.357979  ],
                  [11.93847656, 2077.368839 ],
                  [11.96289063, 2077.379632 ],
                  [11.98730469, 2077.390359 ],
                  [12.01171875, 2077.40102  ],
                  [12.03613281, 2077.411615 ],
                  [12.06054688, 2077.422146 ],
                  [12.08496094, 2077.432612 ],
                  [12.109375, 2077.443015   ],
                  [12.13378906, 2077.453355 ],
                  [12.15820313, 2077.463631 ],
                  [12.18261719, 2077.473846 ],
                  [12.20703125, 2077.483999 ],
                  [12.23144531, 2077.494091 ],
                  [12.25585938, 2077.504122 ],
                  [12.28027344, 2077.514092 ],
                  [12.3046875, 2077.524003  ],
                  [12.32910156, 2077.533855 ],
                  [12.35351563, 2077.543648 ],
                  [12.37792969, 2077.553383 ],
                  [12.40234375, 2077.56306  ],
                  [12.42675781, 2077.572679 ],
                  [12.45117188, 2077.582241 ],
                  [12.47558594, 2077.591747 ],
                  [12.5, 2077.601197        ],
                  [12.52441406, 2077.610592 ],
                  [12.54882813, 2077.619931 ],
                  [12.57324219, 2077.629215 ],
                  [12.59765625, 2077.638445 ],
                  [12.62207031, 2077.647621 ],
                  [12.64648438, 2077.656744 ],
                  [12.67089844, 2077.665814 ],
                  [12.6953125, 2077.674831  ],
                  [12.71972656, 2077.683796 ],
                  [12.74414063, 2077.692709 ],
                  [12.76855469, 2077.70157  ],
                  [12.79296875, 2077.710381 ],
                  [12.81738281, 2077.71914  ],
                  [12.84179688, 2077.72785  ],
                  [12.86621094, 2077.73651  ],
                  [12.890625, 2077.74512    ],
                  [12.91503906, 2077.753681 ],
                  [12.93945313, 2077.762193 ],
                  [12.96386719, 2077.770657 ],
                  [12.98828125, 2077.779073 ],
                  [13.01269531, 2077.787442 ],
                  [13.03710938, 2077.795763 ],
                  [13.06152344, 2077.804037 ],
                  [13.0859375, 2077.812264  ],
                  [13.11035156, 2077.820445 ],
                  [13.13476563, 2077.828581 ],
                  [13.15917969, 2077.836671 ],
                  [13.18359375, 2077.844715 ],
                  [13.20800781, 2077.852715 ],
                  [13.23242188, 2077.860671 ],
                  [13.25683594, 2077.868582 ],
                  [13.28125, 2077.876449    ],
                  [13.30566406, 2077.884273 ],
                  [13.33007813, 2077.892053 ],
                  [13.35449219, 2077.899791 ],
                  [13.37890625, 2077.907486 ],
                  [13.40332031, 2077.915138 ],
                  [13.42773438, 2077.922749 ],
                  [13.45214844, 2077.930318 ],
                  [13.4765625, 2077.937846  ],
                  [13.50097656, 2077.945332 ],
                  [13.52539063, 2077.952778 ],
                  [13.54980469, 2077.960184 ],
                  [13.57421875, 2077.967549 ],
                  [13.59863281, 2077.974874 ],
                  [13.62304688, 2077.98216  ],
                  [13.64746094, 2077.989407 ],
                  [13.671875, 2077.996614   ],
                  [13.69628906, 2078.003783 ],
                  [13.72070313, 2078.010913 ],
                  [13.74511719, 2078.018005 ],
                  [13.76953125, 2078.025059 ],
                  [13.79394531, 2078.032076 ],
                  [13.81835938, 2078.039055 ],
                  [13.84277344, 2078.045997 ],
                  [13.8671875, 2078.052902  ],
                  [13.89160156, 2078.05977  ],
                  [13.91601563, 2078.066603 ],
                  [13.94042969, 2078.073399 ],
                  [13.96484375, 2078.080159 ],
                  [13.98925781, 2078.086884 ],
                  [14.01367188, 2078.093573 ],
                  [14.03808594, 2078.100228 ],
                  [14.0625, 2078.106847     ],
                  [14.08691406, 2078.113432 ],
                  [14.11132813, 2078.119983 ],
                  [14.13574219, 2078.126499 ],
                  [14.16015625, 2078.132982 ],
                  [14.18457031, 2078.139431 ],
                  [14.20898438, 2078.145846 ],
                  [14.23339844, 2078.152229 ],
                  [14.2578125, 2078.158578  ],
                  [14.28222656, 2078.164895 ],
                  [14.30664063, 2078.171179 ],
                  [14.33105469, 2078.177431 ],
                  [14.35546875, 2078.183651 ],
                  [14.37988281, 2078.189839 ],
                  [14.40429688, 2078.195996 ],
                  [14.42871094, 2078.202121 ],
                  [14.453125, 2078.208215   ],
                  [14.47753906, 2078.214278 ],
                  [14.50195313, 2078.22031  ],
                  [14.52636719, 2078.226312 ],
                  [14.55078125, 2078.232283 ],
                  [14.57519531, 2078.238224 ],
                  [14.59960938, 2078.244135 ],
                  [14.62402344, 2078.250017 ],
                  [14.6484375, 2078.255869  ],
                  [14.67285156, 2078.261691 ],
                  [14.69726563, 2078.267485 ],
                  [14.72167969, 2078.273249 ],
                  [14.74609375, 2078.278985 ],
                  [14.77050781, 2078.284692 ],
                  [14.79492188, 2078.290371 ],
                  [14.81933594, 2078.296021 ],
                  [14.84375, 2078.301644    ],
                  [14.86816406, 2078.307239 ],
                  [14.89257813, 2078.312806 ],
                  [14.91699219, 2078.318346 ],
                  [14.94140625, 2078.323858 ],
                  [14.96582031, 2078.329343 ],
                  [14.99023438, 2078.334802 ],
                  [15.01464844, 2078.340233 ],
                  [15.0390625, 2078.345639  ],
                  [15.06347656, 2078.351017 ],
                  [15.08789063, 2078.35637  ],
                  [15.11230469, 2078.361696 ],
                  [15.13671875, 2078.366997 ],
                  [15.16113281, 2078.372272 ],
                  [15.18554688, 2078.377521 ],
                  [15.20996094, 2078.382745 ],
                  [15.234375, 2078.387943   ],
                  [15.25878906, 2078.393117 ],
                  [15.28320313, 2078.398266 ],
                  [15.30761719, 2078.40339  ],
                  [15.33203125, 2078.408489 ],
                  [15.35644531, 2078.413564 ],
                  [15.38085938, 2078.418615 ],
                  [15.40527344, 2078.423642 ],
                  [15.4296875, 2078.428644  ],
                  [15.45410156, 2078.433623 ],
                  [15.47851563, 2078.438578 ],
                  [15.50292969, 2078.44351  ],
                  [15.52734375, 2078.448418 ],
                  [15.55175781, 2078.453304 ],
                  [15.57617188, 2078.458166 ],
                  [15.60058594, 2078.463005 ],
                  [15.625, 2078.467821      ],
                  [15.64941406, 2078.472615 ],
                  [15.67382813, 2078.477386 ],
                  [15.69824219, 2078.482135 ],
                  [15.72265625, 2078.486862 ],
                  [15.74707031, 2078.491566 ],
                  [15.77148438, 2078.496249 ],
                  [15.79589844, 2078.50091  ],
                  [15.8203125, 2078.505549  ],
                  [15.84472656, 2078.510167 ],
                  [15.86914063, 2078.514763 ],
                  [15.89355469, 2078.519339 ],
                  [15.91796875, 2078.523892 ],
                  [15.94238281, 2078.528425 ],
                  [15.96679688, 2078.532938 ],
                  [15.99121094, 2078.537429 ],
                  [16.015625, 2078.5419     ],
                  [16.04003906, 2078.54635  ],
                  [16.06445313, 2078.55078  ],
                  [16.08886719, 2078.555189 ],
                  [16.11328125, 2078.559579 ],
                  [16.13769531, 2078.563948 ],
                  [16.16210938, 2078.568298 ],
                  [16.18652344, 2078.572628 ],
                  [16.2109375, 2078.576938  ],
                  [16.23535156, 2078.581229 ],
                  [16.25976563, 2078.5855   ],
                  [16.28417969, 2078.589752 ],
                  [16.30859375, 2078.593985 ],
                  [16.33300781, 2078.598199 ],
                  [16.35742188, 2078.602394 ],
                  [16.38183594, 2078.60657  ],
                  [16.40625, 2078.610727    ],
                  [16.43066406, 2078.614866 ],
                  [16.45507813, 2078.618986 ],
                  [16.47949219, 2078.623088 ],
                  [16.50390625, 2078.627172 ],
                  [16.52832031, 2078.631237 ],
                  [16.55273438, 2078.635285 ],
                  [16.57714844, 2078.639314 ],
                  [16.6015625, 2078.643326  ],
                  [16.62597656, 2078.64732  ],
                  [16.65039063, 2078.651296 ],
                  [16.67480469, 2078.655255 ],
                  [16.69921875, 2078.659196 ],
                  [16.72363281, 2078.66312  ],
                  [16.74804688, 2078.667027 ],
                  [16.77246094, 2078.670917 ],
                  [16.796875, 2078.67479    ],
                  [16.82128906, 2078.678645 ],
                  [16.84570313, 2078.682484 ],
                  [16.87011719, 2078.686307 ],
                  [16.89453125, 2078.690112 ],
                  [16.91894531, 2078.693901 ],
                  [16.94335938, 2078.697674 ],
                  [16.96777344, 2078.70143  ],
                  [16.9921875, 2078.70517   ],
                  [17.01660156, 2078.708894 ],
                  [17.04101563, 2078.712602 ],
                  [17.06542969, 2078.716294 ],
                  [17.08984375, 2078.71997  ],
                  [17.11425781, 2078.72363  ],
                  [17.13867188, 2078.727275 ],
                  [17.16308594, 2078.730903 ],
                  [17.1875, 2078.734517     ],
                  [17.21191406, 2078.738115 ],
                  [17.23632813, 2078.741698 ],
                  [17.26074219, 2078.745265 ],
                  [17.28515625, 2078.748817 ],
                  [17.30957031, 2078.752354 ],
                  [17.33398438, 2078.755876 ],
                  [17.35839844, 2078.759384 ],
                  [17.3828125, 2078.762876  ],
                  [17.40722656, 2078.766354 ],
                  [17.43164063, 2078.769817 ],
                  [17.45605469, 2078.773265 ],
                  [17.48046875, 2078.776699 ],
                  [17.50488281, 2078.780119 ],
                  [17.52929688, 2078.783524 ],
                  [17.55371094, 2078.786915 ],
                  [17.578125, 2078.790292   ],
                  [17.60253906, 2078.793655 ],
                  [17.62695313, 2078.797003 ],
                  [17.65136719, 2078.800338 ],
                  [17.67578125, 2078.803659 ],
                  [17.70019531, 2078.806966 ],
                  [17.72460938, 2078.810259 ],
                  [17.74902344, 2078.813539 ],
                  [17.7734375, 2078.816805  ],
                  [17.79785156, 2078.820058 ],
                  [17.82226563, 2078.823298 ],
                  [17.84667969, 2078.826524 ],
                  [17.87109375, 2078.829736 ],
                  [17.89550781, 2078.832936 ],
                  [17.91992188, 2078.836122 ],
                  [17.94433594, 2078.839296 ],
                  [17.96875, 2078.842456    ],
                  [17.99316406, 2078.845604 ],
                  [18.01757813, 2078.848738 ],
                  [18.04199219, 2078.85186  ],
                  [18.06640625, 2078.854969 ],
                  [18.09082031, 2078.858066 ],
                  [18.11523438, 2078.86115  ],
                  [18.13964844, 2078.864222 ],
                  [18.1640625, 2078.867281  ],
                  [18.18847656, 2078.870328 ],
                  [18.21289063, 2078.873362 ],
                  [18.23730469, 2078.876384 ],
                  [18.26171875, 2078.879395 ],
                  [18.28613281, 2078.882393 ],
                  [18.31054688, 2078.885379 ],
                  [18.33496094, 2078.888353 ],
                  [18.359375, 2078.891315   ],
                  [18.38378906, 2078.894265 ],
                  [18.40820313, 2078.897204 ],
                  [18.43261719, 2078.900131 ],
                  [18.45703125, 2078.903046 ],
                  [18.48144531, 2078.905949 ],
                  [18.50585938, 2078.908841 ],
                  [18.53027344, 2078.911722 ],
                  [18.5546875, 2078.914591  ],
                  [18.57910156, 2078.917449 ],
                  [18.60351563, 2078.920296 ],
                  [18.62792969, 2078.923131 ],
                  [18.65234375, 2078.925955 ],
                  [18.67675781, 2078.928769 ],
                  [18.70117188, 2078.931571 ],
                  [18.72558594, 2078.934362 ],
                  [18.75, 2078.937142       ],
                  [18.77441406, 2078.939911 ],
                  [18.79882813, 2078.94267  ],
                  [18.82324219, 2078.945417 ],
                  [18.84765625, 2078.948154 ],
                  [18.87207031, 2078.950881 ],
                  [18.89648438, 2078.953596 ],
                  [18.92089844, 2078.956301 ],
                  [18.9453125, 2078.958996  ],
                  [18.96972656, 2078.961681 ],
                  [18.99414063, 2078.964354 ],
                  [19.01855469, 2078.967018 ],
                  [19.04296875, 2078.969671 ],
                  [19.06738281, 2078.972314 ],
                  [19.09179688, 2078.974947 ],
                  [19.11621094, 2078.97757  ],
                  [19.140625, 2078.980183   ],
                  [19.16503906, 2078.982786 ],
                  [19.18945313, 2078.985378 ],
                  [19.21386719, 2078.987961 ],
                  [19.23828125, 2078.990534 ],
                  [19.26269531, 2078.993098 ],
                  [19.28710938, 2078.995651 ],
                  [19.31152344, 2078.998195 ],
                  [19.3359375, 2079.000729  ],
                  [19.36035156, 2079.003253 ],
                  [19.38476563, 2079.005768 ],
                  [19.40917969, 2079.008274 ],
                  [19.43359375, 2079.01077  ],
                  [19.45800781, 2079.013256 ],
                  [19.48242188, 2079.015733 ],
                  [19.50683594, 2079.018201 ],
                  [19.53125, 2079.02066     ],
                  [19.55566406, 2079.023109 ],
                  [19.58007813, 2079.025549 ],
                  [19.60449219, 2079.02798  ],
                  [19.62890625, 2079.030402 ],
                  [19.65332031, 2079.032815 ],
                  [19.67773438, 2079.035219 ],
                  [19.70214844, 2079.037614 ],
                  [19.7265625, 2079.04      ],
                  [19.75097656, 2079.042377 ],
                  [19.77539063, 2079.044745 ],
                  [19.79980469, 2079.047105 ],
                  [19.82421875, 2079.049455 ],
                  [19.84863281, 2079.051797 ],
                  [19.87304688, 2079.054131 ],
                  [19.89746094, 2079.056456 ],
                  [19.921875, 2079.058772   ],
                  [19.94628906, 2079.06108  ],
                  [19.97070313, 2079.063379 ],
                  [19.99511719, 2079.06567  ],
                  [20.01953125, 2079.067952 ],
                  [20.04394531, 2079.070226 ],
                  [20.06835938, 2079.072492 ],
                  [20.09277344, 2079.074749 ],
                  [20.1171875, 2079.076999  ],
                  [20.14160156, 2079.07924  ],
                  [20.16601563, 2079.081472 ],
                  [20.19042969, 2079.083697 ],
                  [20.21484375, 2079.085914 ],
                  [20.23925781, 2079.088123 ],
                  [20.26367188, 2079.090323 ],
                  [20.28808594, 2079.092516 ],
                  [20.3125, 2079.094701     ],
                  [20.33691406, 2079.096877 ],
                  [20.36132813, 2079.099046 ],
                  [20.38574219, 2079.101208 ],
                  [20.41015625, 2079.103361 ],
                  [20.43457031, 2079.105507 ],
                  [20.45898438, 2079.107645 ],
                  [20.48339844, 2079.109775 ],
                  [20.5078125, 2079.111898  ],
                  [20.53222656, 2079.114013 ],
                  [20.55664063, 2079.11612  ],
                  [20.58105469, 2079.11822  ],
                  [20.60546875, 2079.120313 ],
                  [20.62988281, 2079.122398 ],
                  [20.65429688, 2079.124476 ],
                  [20.67871094, 2079.126546 ],
                  [20.703125, 2079.128609   ],
                  [20.72753906, 2079.130665 ],
                  [20.75195313, 2079.132713 ],
                  [20.77636719, 2079.134754 ],
                  [20.80078125, 2079.136788 ],
                  [20.82519531, 2079.138815 ],
                  [20.84960938, 2079.140835 ],
                  [20.87402344, 2079.142847 ],
                  [20.8984375, 2079.144853  ],
                  [20.92285156, 2079.146851 ],
                  [20.94726563, 2079.148843 ],
                  [20.97167969, 2079.150827 ],
                  [20.99609375, 2079.152805 ],
                  [21.02050781, 2079.154776 ],
                  [21.04492188, 2079.156739 ],
                  [21.06933594, 2079.158696 ],
                  [21.09375, 2079.160647    ],
                  [21.11816406, 2079.16259  ],
                  [21.14257813, 2079.164527 ],
                  [21.16699219, 2079.166456 ],
                  [21.19140625, 2079.16838  ],
                  [21.21582031, 2079.170296 ],
                  [21.24023438, 2079.172206 ],
                  [21.26464844, 2079.17411  ],
                  [21.2890625, 2079.176006  ],
                  [21.31347656, 2079.177897 ],
                  [21.33789063, 2079.17978  ],
                  [21.36230469, 2079.181658 ],
                  [21.38671875, 2079.183528 ],
                  [21.41113281, 2079.185393 ],
                  [21.43554688, 2079.187251 ],
                  [21.45996094, 2079.189103 ],
                  [21.484375, 2079.190948   ],
                  [21.50878906, 2079.192787 ],
                  [21.53320313, 2079.19462  ],
                  [21.55761719, 2079.196446 ],
                  [21.58203125, 2079.198267 ],
                  [21.60644531, 2079.200081 ],
                  [21.63085938, 2079.201889 ],
                  [21.65527344, 2079.203691 ],
                  [21.6796875, 2079.205487  ],
                  [21.70410156, 2079.207276 ],
                  [21.72851563, 2079.20906  ],
                  [21.75292969, 2079.210838 ],
                  [21.77734375, 2079.212609 ],
                  [21.80175781, 2079.214375 ],
                  [21.82617188, 2079.216135 ],
                  [21.85058594, 2079.217889 ],
                  [21.875, 2079.219637      ],
                  [21.89941406, 2079.221379 ],
                  [21.92382813, 2079.223115 ],
                  [21.94824219, 2079.224846 ],
                  [21.97265625, 2079.22657  ],
                  [21.99707031, 2079.228289 ],
                  [22.02148438, 2079.230003 ],
                  [22.04589844, 2079.23171  ],
                  [22.0703125, 2079.233412  ],
                  [22.09472656, 2079.235108 ],
                  [22.11914063, 2079.236799 ],
                  [22.14355469, 2079.238484 ],
                  [22.16796875, 2079.240163 ],
                  [22.19238281, 2079.241837 ],
                  [22.21679688, 2079.243505 ],
                  [22.24121094, 2079.245168 ],
                  [22.265625, 2079.246825   ],
                  [22.29003906, 2079.248477 ],
                  [22.31445313, 2079.250124 ],
                  [22.33886719, 2079.251765 ],
                  [22.36328125, 2079.2534   ],
                  [22.38769531, 2079.255031 ],
                  [22.41210938, 2079.256656 ],
                  [22.43652344, 2079.258275 ],
                  [22.4609375, 2079.25989   ],
                  [22.48535156, 2079.261499 ],
                  [22.50976563, 2079.263103 ],
                  [22.53417969, 2079.264701 ],
                  [22.55859375, 2079.266295 ],
                  [22.58300781, 2079.267883 ],
                  [22.60742188, 2079.269466 ],
                  [22.63183594, 2079.271044 ],
                  [22.65625, 2079.272617    ],
                  [22.68066406, 2079.274185 ],
                  [22.70507813, 2079.275747 ],
                  [22.72949219, 2079.277305 ],
                  [22.75390625, 2079.278857 ],
                  [22.77832031, 2079.280405 ],
                  [22.80273438, 2079.281948 ],
                  [22.82714844, 2079.283485 ],
                  [22.8515625, 2079.285018  ],
                  [22.87597656, 2079.286546 ],
                  [22.90039063, 2079.288069 ],
                  [22.92480469, 2079.289587 ],
                  [22.94921875, 2079.2911   ],
                  [22.97363281, 2079.292609 ],
                  [22.99804688, 2079.294112 ],
                  [23.02246094, 2079.295611 ],
                  [23.046875, 2079.297105   ],
                  [23.07128906, 2079.298594 ],
                  [23.09570313, 2079.300079 ],
                  [23.12011719, 2079.301559 ],
                  [23.14453125, 2079.303034 ],
                  [23.16894531, 2079.304504 ],
                  [23.19335938, 2079.30597  ],
                  [23.21777344, 2079.307431 ],
                  [23.2421875, 2079.308888  ],
                  [23.26660156, 2079.31034  ],
                  [23.29101563, 2079.311787 ],
                  [23.31542969, 2079.31323  ],
                  [23.33984375, 2079.314668 ],
                  [23.36425781, 2079.316102 ],
                  [23.38867188, 2079.317531 ],
                  [23.41308594, 2079.318956 ],
                  [23.4375, 2079.320376     ],
                  [23.46191406, 2079.321792 ],
                  [23.48632813, 2079.323204 ],
                  [23.51074219, 2079.324611 ],
                  [23.53515625, 2079.326014 ],
                  [23.55957031, 2079.327412 ],
                  [23.58398438, 2079.328806 ],
                  [23.60839844, 2079.330195 ],
                  [23.6328125, 2079.331581  ],
                  [23.65722656, 2079.332962 ],
                  [23.68164063, 2079.334339 ],
                  [23.70605469, 2079.335711 ],
                  [23.73046875, 2079.337079 ],
                  [23.75488281, 2079.338443 ],
                  [23.77929688, 2079.339803 ],
                  [23.80371094, 2079.341159 ],
                  [23.828125, 2079.34251    ],
                  [23.85253906, 2079.343858 ],
                  [23.87695313, 2079.345201 ],
                  [23.90136719, 2079.34654  ],
                  [23.92578125, 2079.347875 ],
                  [23.95019531, 2079.349206 ],
                  [23.97460938, 2079.350532 ],
                  [23.99902344, 2079.351855 ],
                  [24.0234375, 2079.353174  ],
                  [24.04785156, 2079.354488 ],
                  [24.07226563, 2079.355799 ],
                  [24.09667969, 2079.357106 ],
                  [24.12109375, 2079.358409 ],
                  [24.14550781, 2079.359707 ],
                  [24.16992188, 2079.361002 ],
                  [24.19433594, 2079.362293 ],
                  [24.21875, 2079.36358     ],
                  [24.24316406, 2079.364863 ],
                  [24.26757813, 2079.366142 ],
                  [24.29199219, 2079.367417 ],
                  [24.31640625, 2079.368689 ],
                  [24.34082031, 2079.369957 ],
                  [24.36523438, 2079.37122  ],
                  [24.38964844, 2079.37248  ],
                  [24.4140625, 2079.373737  ],
                  [24.43847656, 2079.374989 ],
                  [24.46289063, 2079.376238 ],
                  [24.48730469, 2079.377483 ],
                  [24.51171875, 2079.378724 ],
                  [24.53613281, 2079.379962 ],
                  [24.56054688, 2079.381195 ],
                  [24.58496094, 2079.382426 ],
                  [24.609375, 2079.383652   ],
                  [24.63378906, 2079.384875 ],
                  [24.65820313, 2079.386094 ],
                  [24.68261719, 2079.38731  ],
                  [24.70703125, 2079.388522 ],
                  [24.73144531, 2079.38973  ],
                  [24.75585938, 2079.390935 ],
                  [24.78027344, 2079.392136 ],
                  [24.8046875, 2079.393334  ],
                  [24.82910156, 2079.394528 ],
                  [24.85351563, 2079.395719 ],
                  [24.87792969, 2079.396906 ],
                  [24.90234375, 2079.398089 ],
                  [24.92675781, 2079.39927  ],
                  [24.95117188, 2079.400446 ],
                  [24.97558594, 2079.401619 ],
                  [25, 2079.402789          ],
                  [25.02441406, 2079.403956 ],
                  [25.04882813, 2079.405118 ],
                  [25.07324219, 2079.406278 ],
                  [25.09765625, 2079.407434 ],
                  [25.12207031, 2079.408587 ],
                  [25.14648438, 2079.409736 ],
                  [25.17089844, 2079.410882 ],
                  [25.1953125, 2079.412025  ],
                  [25.21972656, 2079.413164 ],
                  [25.24414063, 2079.414301 ],
                  [25.26855469, 2079.415433 ],
                  [25.29296875, 2079.416563 ],
                  [25.31738281, 2079.417689 ],
                  [25.34179688, 2079.418812 ],
                  [25.36621094, 2079.419932 ],
                  [25.390625, 2079.421048   ],
                  [25.41503906, 2079.422161 ],
                  [25.43945313, 2079.423272 ],
                  [25.46386719, 2079.424378 ],
                  [25.48828125, 2079.425482 ],
                  [25.51269531, 2079.426583 ],
                  [25.53710938, 2079.42768  ],
                  [25.56152344, 2079.428774 ],
                  [25.5859375, 2079.429865  ],
                  [25.61035156, 2079.430953 ],
                  [25.63476563, 2079.432038 ],
                  [25.65917969, 2079.43312  ],
                  [25.68359375, 2079.434198 ],
                  [25.70800781, 2079.435274 ],
                  [25.73242188, 2079.436346 ],
                  [25.75683594, 2079.437416 ],
                  [25.78125, 2079.438482    ],
                  [25.80566406, 2079.439545 ],
                  [25.83007813, 2079.440606 ],
                  [25.85449219, 2079.441663 ],
                  [25.87890625, 2079.442717 ],
                  [25.90332031, 2079.443769 ],
                  [25.92773438, 2079.444817 ],
                  [25.95214844, 2079.445863 ],
                  [25.9765625, 2079.446905  ],
                  [26.00097656, 2079.447945 ],
                  [26.02539063, 2079.448981 ],
                  [26.04980469, 2079.450015 ],
                  [26.07421875, 2079.451046 ],
                  [26.09863281, 2079.452074 ],
                  [26.12304688, 2079.453099 ],
                  [26.14746094, 2079.454121 ],
                  [26.171875, 2079.45514    ],
                  [26.19628906, 2079.456156 ],
                  [26.22070313, 2079.45717  ],
                  [26.24511719, 2079.458181 ],
                  [26.26953125, 2079.459188 ],
                  [26.29394531, 2079.460194 ],
                  [26.31835938, 2079.461196 ],
                  [26.34277344, 2079.462195 ],
                  [26.3671875, 2079.463192  ],
                  [26.39160156, 2079.464186 ],
                  [26.41601563, 2079.465177 ],
                  [26.44042969, 2079.466166 ],
                  [26.46484375, 2079.467151 ],
                  [26.48925781, 2079.468134 ],
                  [26.51367188, 2079.469115 ],
                  [26.53808594, 2079.470092 ],
                  [26.5625, 2079.471067     ],
                  [26.58691406, 2079.472039 ],
                  [26.61132813, 2079.473009 ],
                  [26.63574219, 2079.473975 ],
                  [26.66015625, 2079.47494  ],
                  [26.68457031, 2079.475901 ],
                  [26.70898438, 2079.47686  ],
                  [26.73339844, 2079.477816 ],
                  [26.7578125, 2079.47877   ],
                  [26.78222656, 2079.479721 ],
                  [26.80664063, 2079.480669 ],
                  [26.83105469, 2079.481615 ],
                  [26.85546875, 2079.482558 ],
                  [26.87988281, 2079.483499 ],
                  [26.90429688, 2079.484437 ],
                  [26.92871094, 2079.485373 ],
                  [26.953125, 2079.486306   ],
                  [26.97753906, 2079.487236 ],
                  [27.00195313, 2079.488164 ],
                  [27.02636719, 2079.489089 ],
                  [27.05078125, 2079.490012 ],
                  [27.07519531, 2079.490933 ],
                  [27.09960938, 2079.491851 ],
                  [27.12402344, 2079.492766 ],
                  [27.1484375, 2079.493679  ],
                  [27.17285156, 2079.494589 ],
                  [27.19726563, 2079.495498 ],
                  [27.22167969, 2079.496403 ],
                  [27.24609375, 2079.497306 ],
                  [27.27050781, 2079.498207 ],
                  [27.29492188, 2079.499105 ],
                  [27.31933594, 2079.500001 ],
                  [27.34375, 2079.500895    ],
                  [27.36816406, 2079.501786 ],
                  [27.39257813, 2079.502675 ],
                  [27.41699219, 2079.503561 ],
                  [27.44140625, 2079.504445 ],
                  [27.46582031, 2079.505326 ],
                  [27.49023438, 2079.506206 ],
                  [27.51464844, 2079.507083 ],
                  [27.5390625, 2079.507957  ],
                  [27.56347656, 2079.508829 ],
                  [27.58789063, 2079.509699 ],
                  [27.61230469, 2079.510567 ],
                  [27.63671875, 2079.511432 ],
                  [27.66113281, 2079.512295 ],
                  [27.68554688, 2079.513156 ],
                  [27.70996094, 2079.514015 ],
                  [27.734375, 2079.514871   ],
                  [27.75878906, 2079.515725 ],
                  [27.78320313, 2079.516576 ],
                  [27.80761719, 2079.517426 ],
                  [27.83203125, 2079.518273 ],
                  [27.85644531, 2079.519118 ],
                  [27.88085938, 2079.519961 ],
                  [27.90527344, 2079.520801 ],
                  [27.9296875, 2079.52164   ],
                  [27.95410156, 2079.522476 ],
                  [27.97851563, 2079.52331  ],
                  [28.00292969, 2079.524141 ],
                  [28.02734375, 2079.524971 ],
                  [28.05175781, 2079.525798 ],
                  [28.07617188, 2079.526624 ],
                  [28.10058594, 2079.527447 ],
                  [28.125, 2079.528268      ],
                  [28.14941406, 2079.529087 ],
                  [28.17382813, 2079.529903 ],
                  [28.19824219, 2079.530718 ],
                  [28.22265625, 2079.53153  ],
                  [28.24707031, 2079.532341 ],
                  [28.27148438, 2079.533149 ],
                  [28.29589844, 2079.533955 ],
                  [28.3203125, 2079.534759  ],
                  [28.34472656, 2079.535561 ],
                  [28.36914063, 2079.536361 ],
                  [28.39355469, 2079.537159 ],
                  [28.41796875, 2079.537955 ],
                  [28.44238281, 2079.538748 ],
                  [28.46679688, 2079.53954  ],
                  [28.49121094, 2079.54033  ],
                  [28.515625, 2079.541117   ],
                  [28.54003906, 2079.541903 ],
                  [28.56445313, 2079.542686 ],
                  [28.58886719, 2079.543468 ],
                  [28.61328125, 2079.544247 ],
                  [28.63769531, 2079.545025 ],
                  [28.66210938, 2079.545801 ],
                  [28.68652344, 2079.546574 ],
                  [28.7109375, 2079.547346  ],
                  [28.73535156, 2079.548115 ],
                  [28.75976563, 2079.548883 ],
                  [28.78417969, 2079.549649 ],
                  [28.80859375, 2079.550413 ],
                  [28.83300781, 2079.551175 ],
                  [28.85742188, 2079.551934 ],
                  [28.88183594, 2079.552692 ],
                  [28.90625, 2079.553448    ],
                  [28.93066406, 2079.554203 ],
                  [28.95507813, 2079.554955 ],
                  [28.97949219, 2079.555705 ],
                  [29.00390625, 2079.556454 ],
                  [29.02832031, 2079.5572   ],
                  [29.05273438, 2079.557945 ],
                  [29.07714844, 2079.558688 ],
                  [29.1015625, 2079.559429  ],
                  [29.12597656, 2079.560168 ],
                  [29.15039063, 2079.560905 ],
                  [29.17480469, 2079.56164  ],
                  [29.19921875, 2079.562374 ],
                  [29.22363281, 2079.563105 ],
                  [29.24804688, 2079.563835 ],
                  [29.27246094, 2079.564563 ],
                  [29.296875, 2079.565289   ],
                  [29.32128906, 2079.566014 ],
                  [29.34570313, 2079.566736 ],
                  [29.37011719, 2079.567457 ],
                  [29.39453125, 2079.568176 ],
                  [29.41894531, 2079.568893 ],
                  [29.44335938, 2079.569608 ],
                  [29.46777344, 2079.570322 ],
                  [29.4921875, 2079.571034  ],
                  [29.51660156, 2079.571744 ],
                  [29.54101563, 2079.572452 ],
                  [29.56542969, 2079.573158 ],
                  [29.58984375, 2079.573863 ],
                  [29.61425781, 2079.574566 ],
                  [29.63867188, 2079.575268 ],
                  [29.66308594, 2079.575967 ],
                  [29.6875, 2079.576665     ],
                  [29.71191406, 2079.577361 ],
                  [29.73632813, 2079.578055 ],
                  [29.76074219, 2079.578748 ],
                  [29.78515625, 2079.579439 ],
                  [29.80957031, 2079.580128 ],
                  [29.83398438, 2079.580816 ],
                  [29.85839844, 2079.581502 ],
                  [29.8828125, 2079.582186  ],
                  [29.90722656, 2079.582869 ],
                  [29.93164063, 2079.583549 ],
                  [29.95605469, 2079.584229 ],
                  [29.98046875, 2079.584906 ],
                  [30.00488281, 2079.585582 ],
                  [30.02929688, 2079.586256 ],
                  [30.05371094, 2079.586929 ],
                  [30.078125, 2079.5876     ],
                  [30.10253906, 2079.588269 ],
                  [30.12695313, 2079.588937 ],
                  [30.15136719, 2079.589603 ],
                  [30.17578125, 2079.590267 ],
                  [30.20019531, 2079.59093  ],
                  [30.22460938, 2079.591591 ],
                  [30.24902344, 2079.592251 ],
                  [30.2734375, 2079.592909  ],
                  [30.29785156, 2079.593565 ],
                  [30.32226563, 2079.59422  ],
                  [30.34667969, 2079.594873 ],
                  [30.37109375, 2079.595525 ],
                  [30.39550781, 2079.596175 ],
                  [30.41992188, 2079.596824 ],
                  [30.44433594, 2079.597471 ],
                  [30.46875, 2079.598116    ],
                  [30.49316406, 2079.59876  ],
                  [30.51757813, 2079.599402 ],
                  [30.54199219, 2079.600043 ],
                  [30.56640625, 2079.600682 ],
                  [30.59082031, 2079.60132  ],
                  [30.61523438, 2079.601956 ],
                  [30.63964844, 2079.602591 ],
                  [30.6640625, 2079.603224  ],
                  [30.68847656, 2079.603856 ],
                  [30.71289063, 2079.604486 ],
                  [30.73730469, 2079.605115 ],
                  [30.76171875, 2079.605742 ],
                  [30.78613281, 2079.606367 ],
                  [30.81054688, 2079.606991 ],
                  [30.83496094, 2079.607614 ],
                  [30.859375, 2079.608235   ],
                  [30.88378906, 2079.608855 ],
                  [30.90820313, 2079.609473 ],
                  [30.93261719, 2079.61009  ],
                  [30.95703125, 2079.610705 ],
                  [30.98144531, 2079.611319 ],
                  [31.00585938, 2079.611932 ],
                  [31.03027344, 2079.612543 ],
                  [31.0546875, 2079.613152  ],
                  [31.07910156, 2079.61376  ],
                  [31.10351563, 2079.614367 ],
                  [31.12792969, 2079.614972 ],
                  [31.15234375, 2079.615576 ],
                  [31.17675781, 2079.616178 ],
                  [31.20117188, 2079.616779 ],
                  [31.22558594, 2079.617379 ],
                  [31.25, 2079.617977       ],
                  [31.27441406, 2079.618574 ],
                  [31.29882813, 2079.619169 ],
                  [31.32324219, 2079.619763 ],
                  [31.34765625, 2079.620356 ],
                  [31.37207031, 2079.620947 ],
                  [31.39648438, 2079.621537 ],
                  [31.42089844, 2079.622125 ],
                  [31.4453125, 2079.622712  ],
                  [31.46972656, 2079.623298 ],
                  [31.49414063, 2079.623882 ],
                  [31.51855469, 2079.624465 ],
                  [31.54296875, 2079.625047 ],
                  [31.56738281, 2079.625627 ],
                  [31.59179688, 2079.626206 ],
                  [31.61621094, 2079.626783 ],
                  [31.640625, 2079.62736    ],
                  [31.66503906, 2079.627934 ],
                  [31.68945313, 2079.628508 ],
                  [31.71386719, 2079.62908  ],
                  [31.73828125, 2079.629651 ],
                  [31.76269531, 2079.630221 ],
                  [31.78710938, 2079.630789 ],
                  [31.81152344, 2079.631356 ],
                  [31.8359375, 2079.631922  ],
                  [31.86035156, 2079.632486 ],
                  [31.88476563, 2079.633049 ],
                  [31.90917969, 2079.633611 ],
                  [31.93359375, 2079.634171 ],
                  [31.95800781, 2079.634731 ],
                  [31.98242188, 2079.635289 ],
                  [32.00683594, 2079.635845 ],
                  [32.03125, 2079.636401    ],
                  [32.05566406, 2079.636955 ],
                  [32.08007813, 2079.637508 ],
                  [32.10449219, 2079.638059 ],
                  [32.12890625, 2079.638609 ],
                  [32.15332031, 2079.639158 ],
                  [32.17773438, 2079.639706 ],
                  [32.20214844, 2079.640253 ],
                  [32.2265625, 2079.640798  ],
                  [32.25097656, 2079.641342 ],
                  [32.27539063, 2079.641885 ],
                  [32.29980469, 2079.642427 ],
                  [32.32421875, 2079.642967 ],
                  [32.34863281, 2079.643506 ],
                  [32.37304688, 2079.644044 ],
                  [32.39746094, 2079.644581 ],
                  [32.421875, 2079.645116   ],
                  [32.44628906, 2079.645651 ],
                  [32.47070313, 2079.646184 ],
                  [32.49511719, 2079.646716 ],
                  [32.51953125, 2079.647246 ],
                  [32.54394531, 2079.647776 ],
                  [32.56835938, 2079.648304 ],
                  [32.59277344, 2079.648831 ],
                  [32.6171875, 2079.649357  ],
                  [32.64160156, 2079.649882 ],
                  [32.66601563, 2079.650406 ],
                  [32.69042969, 2079.650928 ],
                  [32.71484375, 2079.651449 ],
                  [32.73925781, 2079.651969 ],
                  [32.76367188, 2079.652488 ],
                  [32.78808594, 2079.653006 ],
                  [32.8125, 2079.653523     ],
                  [32.83691406, 2079.654038 ],
                  [32.86132813, 2079.654552 ],
                  [32.88574219, 2079.655065 ],
                  [32.91015625, 2079.655577 ],
                  [32.93457031, 2079.656088 ],
                  [32.95898438, 2079.656598 ],
                  [32.98339844, 2079.657107 ],
                  [33.0078125, 2079.657614  ],
                  [33.03222656, 2079.65812  ],
                  [33.05664063, 2079.658626 ],
                  [33.08105469, 2079.65913  ],
                  [33.10546875, 2079.659633 ],
                  [33.12988281, 2079.660135 ],
                  [33.15429688, 2079.660635 ],
                  [33.17871094, 2079.661135 ],
                  [33.203125, 2079.661633   ],
                  [33.22753906, 2079.662131 ],
                  [33.25195313, 2079.662627 ],
                  [33.27636719, 2079.663122 ],
                  [33.30078125, 2079.663617 ],
                  [33.32519531, 2079.66411  ],
                  [33.34960938, 2079.664602 ],
                  [33.37402344, 2079.665093 ],
                  [33.3984375, 2079.665582  ],
                  [33.42285156, 2079.666071 ],
                  [33.44726563, 2079.666559 ],
                  [33.47167969, 2079.667046 ],
                  [33.49609375, 2079.667531 ],
                  [33.52050781, 2079.668016 ],
                  [33.54492188, 2079.668499 ],
                  [33.56933594, 2079.668981 ],
                  [33.59375, 2079.669463    ],
                  [33.61816406, 2079.669943 ],
                  [33.64257813, 2079.670422 ],
                  [33.66699219, 2079.6709   ],
                  [33.69140625, 2079.671378 ],
                  [33.71582031, 2079.671854 ],
                  [33.74023438, 2079.672329 ],
                  [33.76464844, 2079.672803 ],
                  [33.7890625, 2079.673276  ],
                  [33.81347656, 2079.673748 ],
                  [33.83789063, 2079.674219 ],
                  [33.86230469, 2079.674689 ],
                  [33.88671875, 2079.675158 ],
                  [33.91113281, 2079.675626 ],
                  [33.93554688, 2079.676093 ],
                  [33.95996094, 2079.676558 ],
                  [33.984375, 2079.677023   ],
                  [34.00878906, 2079.677487 ],
                  [34.03320313, 2079.67795  ],
                  [34.05761719, 2079.678412 ],
                  [34.08203125, 2079.678873 ],
                  [34.10644531, 2079.679333 ],
                  [34.13085938, 2079.679792 ],
                  [34.15527344, 2079.68025  ],
                  [34.1796875, 2079.680707  ],
                  [34.20410156, 2079.681163 ],
                  [34.22851563, 2079.681618 ],
                  [34.25292969, 2079.682072 ],
                  [34.27734375, 2079.682525 ],
                  [34.30175781, 2079.682977 ],
                  [34.32617188, 2079.683428 ],
                  [34.35058594, 2079.683878 ],
                  [34.375, 2079.684327      ],
                  [34.39941406, 2079.684776 ],
                  [34.42382813, 2079.685223 ],
                  [34.44824219, 2079.685669 ],
                  [34.47265625, 2079.686115 ],
                  [34.49707031, 2079.686559 ],
                  [34.52148438, 2079.687003 ],
                  [34.54589844, 2079.687445 ],
                  [34.5703125, 2079.687887  ],
                  [34.59472656, 2079.688328 ],
                  [34.61914063, 2079.688767 ],
                  [34.64355469, 2079.689206 ],
                  [34.66796875, 2079.689644 ],
                  [34.69238281, 2079.690081 ],
                  [34.71679688, 2079.690517 ],
                  [34.74121094, 2079.690952 ],
                  [34.765625, 2079.691386   ],
                  [34.79003906, 2079.69182  ],
                  [34.81445313, 2079.692252 ],
                  [34.83886719, 2079.692684 ],
                  [34.86328125, 2079.693114 ],
                  [34.88769531, 2079.693544 ],
                  [34.91210938, 2079.693973 ],
                  [34.93652344, 2079.6944   ],
                  [34.9609375, 2079.694827  ],
                  [34.98535156, 2079.695254 ],
                  [35.00976563, 2079.695679 ],
                  [35.03417969, 2079.696103 ],
                  [35.05859375, 2079.696526 ],
                  [35.08300781, 2079.696949 ],
                  [35.10742188, 2079.697371 ],
                  [35.13183594, 2079.697791 ],
                  [35.15625, 2079.698211    ],
                  [35.18066406, 2079.69863  ],
                  [35.20507813, 2079.699048 ],
                  [35.22949219, 2079.699466 ],
                  [35.25390625, 2079.699882 ],
                  [35.27832031, 2079.700298 ],
                  [35.30273438, 2079.700712 ],
                  [35.32714844, 2079.701126 ],
                  [35.3515625, 2079.701539  ],
                  [35.37597656, 2079.701951 ],
                  [35.40039063, 2079.702362 ],
                  [35.42480469, 2079.702773 ],
                  [35.44921875, 2079.703182 ],
                  [35.47363281, 2079.703591 ],
                  [35.49804688, 2079.703999 ],
                  [35.52246094, 2079.704406 ],
                  [35.546875, 2079.704812   ],
                  [35.57128906, 2079.705217 ],
                  [35.59570313, 2079.705622 ],
                  [35.62011719, 2079.706026 ],
                  [35.64453125, 2079.706428 ],
                  [35.66894531, 2079.70683  ],
                  [35.69335938, 2079.707232 ],
                  [35.71777344, 2079.707632 ],
                  [35.7421875, 2079.708032  ],
                  [35.76660156, 2079.70843  ],
                  [35.79101563, 2079.708828 ],
                  [35.81542969, 2079.709225 ],
                  [35.83984375, 2079.709622 ],
                  [35.86425781, 2079.710017 ],
                  [35.88867188, 2079.710412 ],
                  [35.91308594, 2079.710806 ],
                  [35.9375, 2079.711199     ],
                  [35.96191406, 2079.711591 ],
                  [35.98632813, 2079.711982 ],
                  [36.01074219, 2079.712373 ],
                  [36.03515625, 2079.712763 ],
                  [36.05957031, 2079.713152 ],
                  [36.08398438, 2079.71354  ],
                  [36.10839844, 2079.713928 ],
                  [36.1328125, 2079.714314  ],
                  [36.15722656, 2079.7147   ],
                  [36.18164063, 2079.715085 ],
                  [36.20605469, 2079.71547  ],
                  [36.23046875, 2079.715853 ],
                  [36.25488281, 2079.716236 ],
                  [36.27929688, 2079.716618 ],
                  [36.30371094, 2079.717    ],
                  [36.328125, 2079.71738    ],
                  [36.35253906, 2079.71776  ],
                  [36.37695313, 2079.718139 ],
                  [36.40136719, 2079.718517 ],
                  [36.42578125, 2079.718894 ],
                  [36.45019531, 2079.719271 ],
                  [36.47460938, 2079.719647 ],
                  [36.49902344, 2079.720022 ],
                  [36.5234375, 2079.720397  ],
                  [36.54785156, 2079.72077  ],
                  [36.57226563, 2079.721143 ],
                  [36.59667969, 2079.721515 ],
                  [36.62109375, 2079.721887 ],
                  [36.64550781, 2079.722258 ],
                  [36.66992188, 2079.722627 ],
                  [36.69433594, 2079.722997 ],
                  [36.71875, 2079.723365    ],
                  [36.74316406, 2079.723733 ],
                  [36.76757813, 2079.7241   ],
                  [36.79199219, 2079.724466 ],
                  [36.81640625, 2079.724832 ],
                  [36.84082031, 2079.725197 ],
                  [36.86523438, 2079.725561 ],
                  [36.88964844, 2079.725924 ],
                  [36.9140625, 2079.726287  ],
                  [36.93847656, 2079.726649 ],
                  [36.96289063, 2079.72701  ],
                  [36.98730469, 2079.72737  ],
                  [37.01171875, 2079.72773  ],
                  [37.03613281, 2079.728089 ],
                  [37.06054688, 2079.728447 ],
                  [37.08496094, 2079.728805 ],
                  [37.109375, 2079.729162   ],
                  [37.13378906, 2079.729518 ],
                  [37.15820313, 2079.729874 ],
                  [37.18261719, 2079.730229 ],
                  [37.20703125, 2079.730583 ],
                  [37.23144531, 2079.730936 ],
                  [37.25585938, 2079.731289 ],
                  [37.28027344, 2079.731641 ],
                  [37.3046875, 2079.731992  ],
                  [37.32910156, 2079.732343 ],
                  [37.35351563, 2079.732693 ],
                  [37.37792969, 2079.733042 ],
                  [37.40234375, 2079.733391 ],
                  [37.42675781, 2079.733739 ],
                  [37.45117188, 2079.734086 ],
                  [37.47558594, 2079.734433 ],
                  [37.5, 2079.734779        ],
                  [37.52441406, 2079.735124 ],
                  [37.54882813, 2079.735468 ],
                  [37.57324219, 2079.735812 ],
                  [37.59765625, 2079.736155 ],
                  [37.62207031, 2079.736498 ],
                  [37.64648438, 2079.73684  ],
                  [37.67089844, 2079.737181 ],
                  [37.6953125, 2079.737522  ],
                  [37.71972656, 2079.737861 ],
                  [37.74414063, 2079.738201 ],
                  [37.76855469, 2079.738539 ],
                  [37.79296875, 2079.738877 ],
                  [37.81738281, 2079.739214 ],
                  [37.84179688, 2079.739551 ],
                  [37.86621094, 2079.739887 ],
                  [37.890625, 2079.740222   ],
                  [37.91503906, 2079.740557 ],
                  [37.93945313, 2079.740891 ],
                  [37.96386719, 2079.741224 ],
                  [37.98828125, 2079.741557 ],
                  [38.01269531, 2079.741889 ],
                  [38.03710938, 2079.74222  ],
                  [38.06152344, 2079.742551 ],
                  [38.0859375, 2079.742881  ],
                  [38.11035156, 2079.743211 ],
                  [38.13476563, 2079.74354  ],
                  [38.15917969, 2079.743868 ],
                  [38.18359375, 2079.744196 ],
                  [38.20800781, 2079.744523 ],
                  [38.23242188, 2079.744849 ],
                  [38.25683594, 2079.745175 ],
                  [38.28125, 2079.7455      ],
                  [38.30566406, 2079.745824 ],
                  [38.33007813, 2079.746148 ],
                  [38.35449219, 2079.746472 ],
                  [38.37890625, 2079.746794 ],
                  [38.40332031, 2079.747116 ],
                  [38.42773438, 2079.747438 ],
                  [38.45214844, 2079.747758 ],
                  [38.4765625, 2079.748079  ],
                  [38.50097656, 2079.748398 ],
                  [38.52539063, 2079.748717 ],
                  [38.54980469, 2079.749036 ],
                  [38.57421875, 2079.749353 ],
                  [38.59863281, 2079.74967  ],
                  [38.62304688, 2079.749987 ],
                  [38.64746094, 2079.750303 ],
                  [38.671875, 2079.750618   ],
                  [38.69628906, 2079.750933 ],
                  [38.72070313, 2079.751247 ],
                  [38.74511719, 2079.751561 ],
                  [38.76953125, 2079.751874 ],
                  [38.79394531, 2079.752186 ],
                  [38.81835938, 2079.752498 ],
                  [38.84277344, 2079.752809 ],
                  [38.8671875, 2079.75312   ],
                  [38.89160156, 2079.75343  ],
                  [38.91601563, 2079.753739 ],
                  [38.94042969, 2079.754048 ],
                  [38.96484375, 2079.754356 ],
                  [38.98925781, 2079.754664 ],
                  [39.01367188, 2079.754971 ],
                  [39.03808594, 2079.755278 ],
                  [39.0625, 2079.755584     ],
                  [39.08691406, 2079.755889 ],
                  [39.11132813, 2079.756194 ],
                  [39.13574219, 2079.756498 ],
                  [39.16015625, 2079.756802 ],
                  [39.18457031, 2079.757105 ],
                  [39.20898438, 2079.757408 ],
                  [39.23339844, 2079.75771  ],
                  [39.2578125, 2079.758011  ],
                  [39.28222656, 2079.758312 ],
                  [39.30664063, 2079.758612 ],
                  [39.33105469, 2079.758912 ],
                  [39.35546875, 2079.759211 ],
                  [39.37988281, 2079.75951  ],
                  [39.40429688, 2079.759808 ],
                  [39.42871094, 2079.760106 ],
                  [39.453125, 2079.760403   ],
                  [39.47753906, 2079.760699 ],
                  [39.50195313, 2079.760995 ],
                  [39.52636719, 2079.76129  ],
                  [39.55078125, 2079.761585 ],
                  [39.57519531, 2079.761879 ],
                  [39.59960938, 2079.762173 ],
                  [39.62402344, 2079.762466 ],
                  [39.6484375, 2079.762759  ],
                  [39.67285156, 2079.763051 ],
                  [39.69726563, 2079.763342 ],
                  [39.72167969, 2079.763633 ],
                  [39.74609375, 2079.763924 ],
                  [39.77050781, 2079.764214 ],
                  [39.79492188, 2079.764503 ],
                  [39.81933594, 2079.764792 ],
                  [39.84375, 2079.76508     ],
                  [39.86816406, 2079.765368 ],
                  [39.89257813, 2079.765655 ],
                  [39.91699219, 2079.765942 ],
                  [39.94140625, 2079.766228 ],
                  [39.96582031, 2079.766514 ],
                  [39.99023438, 2079.766799 ],
                  [40.01464844, 2079.767084 ],
                  [40.0390625, 2079.767368  ],
                  [40.06347656, 2079.767651 ],
                  [40.08789063, 2079.767934 ],
                  [40.11230469, 2079.768217 ],
                  [40.13671875, 2079.768499 ],
                  [40.16113281, 2079.76878  ],
                  [40.18554688, 2079.769061 ],
                  [40.20996094, 2079.769342 ],
                  [40.234375, 2079.769622   ],
                  [40.25878906, 2079.769901 ],
                  [40.28320313, 2079.77018  ],
                  [40.30761719, 2079.770459 ],
                  [40.33203125, 2079.770737 ],
                  [40.35644531, 2079.771014 ],
                  [40.38085938, 2079.771291 ],
                  [40.40527344, 2079.771568 ],
                  [40.4296875, 2079.771844  ],
                  [40.45410156, 2079.772119 ],
                  [40.47851563, 2079.772394 ],
                  [40.50292969, 2079.772668 ],
                  [40.52734375, 2079.772942 ],
                  [40.55175781, 2079.773216 ],
                  [40.57617188, 2079.773489 ],
                  [40.60058594, 2079.773761 ],
                  [40.625, 2079.774033      ],
                  [40.64941406, 2079.774305 ],
                  [40.67382813, 2079.774576 ],
                  [40.69824219, 2079.774846 ],
                  [40.72265625, 2079.775116 ],
                  [40.74707031, 2079.775386 ],
                  [40.77148438, 2079.775655 ],
                  [40.79589844, 2079.775924 ],
                  [40.8203125, 2079.776192  ],
                  [40.84472656, 2079.776459 ],
                  [40.86914063, 2079.776726 ],
                  [40.89355469, 2079.776993 ],
                  [40.91796875, 2079.777259 ],
                  [40.94238281, 2079.777525 ],
                  [40.96679688, 2079.77779  ],
                  [40.99121094, 2079.778055 ],
                  [41.015625, 2079.778319   ],
                  [41.04003906, 2079.778583 ],
                  [41.06445313, 2079.778846 ],
                  [41.08886719, 2079.779109 ],
                  [41.11328125, 2079.779372 ],
                  [41.13769531, 2079.779633 ],
                  [41.16210938, 2079.779895 ],
                  [41.18652344, 2079.780156 ],
                  [41.2109375, 2079.780416  ],
                  [41.23535156, 2079.780677 ],
                  [41.25976563, 2079.780936 ],
                  [41.28417969, 2079.781195 ],
                  [41.30859375, 2079.781454 ],
                  [41.33300781, 2079.781712 ],
                  [41.35742188, 2079.78197  ],
                  [41.38183594, 2079.782227 ],
                  [41.40625, 2079.782484    ],
                  [41.43066406, 2079.782741 ],
                  [41.45507813, 2079.782997 ],
                  [41.47949219, 2079.783252 ],
                  [41.50390625, 2079.783507 ],
                  [41.52832031, 2079.783762 ],
                  [41.55273438, 2079.784016 ],
                  [41.57714844, 2079.78427  ],
                  [41.6015625, 2079.784523  ],
                  [41.62597656, 2079.784776 ],
                  [41.65039063, 2079.785028 ],
                  [41.67480469, 2079.78528  ],
                  [41.69921875, 2079.785531 ],
                  [41.72363281, 2079.785782 ],
                  [41.74804688, 2079.786033 ],
                  [41.77246094, 2079.786283 ],
                  [41.796875, 2079.786533   ],
                  [41.82128906, 2079.786782 ],
                  [41.84570313, 2079.787031 ],
                  [41.87011719, 2079.787279 ],
                  [41.89453125, 2079.787527 ],
                  [41.91894531, 2079.787775 ],
                  [41.94335938, 2079.788022 ],
                  [41.96777344, 2079.788269 ],
                  [41.9921875, 2079.788515  ],
                  [42.01660156, 2079.788761 ],
                  [42.04101563, 2079.789006 ],
                  [42.06542969, 2079.789251 ],
                  [42.08984375, 2079.789496 ],
                  [42.11425781, 2079.78974  ],
                  [42.13867188, 2079.789984 ],
                  [42.16308594, 2079.790227 ],
                  [42.1875, 2079.79047      ],
                  [42.21191406, 2079.790712 ],
                  [42.23632813, 2079.790954 ],
                  [42.26074219, 2079.791196 ],
                  [42.28515625, 2079.791437 ],
                  [42.30957031, 2079.791678 ],
                  [42.33398438, 2079.791918 ],
                  [42.35839844, 2079.792158 ],
                  [42.3828125, 2079.792397  ],
                  [42.40722656, 2079.792636 ],
                  [42.43164063, 2079.792875 ],
                  [42.45605469, 2079.793113 ],
                  [42.48046875, 2079.793351 ],
                  [42.50488281, 2079.793589 ],
                  [42.52929688, 2079.793826 ],
                  [42.55371094, 2079.794062 ],
                  [42.578125, 2079.794298   ],
                  [42.60253906, 2079.794534 ],
                  [42.62695313, 2079.79477  ],
                  [42.65136719, 2079.795005 ],
                  [42.67578125, 2079.795239 ],
                  [42.70019531, 2079.795473 ],
                  [42.72460938, 2079.795707 ],
                  [42.74902344, 2079.795941 ],
                  [42.7734375, 2079.796174  ],
                  [42.79785156, 2079.796406 ],
                  [42.82226563, 2079.796638 ],
                  [42.84667969, 2079.79687  ],
                  [42.87109375, 2079.797102 ],
                  [42.89550781, 2079.797333 ],
                  [42.91992188, 2079.797563 ],
                  [42.94433594, 2079.797793 ],
                  [42.96875, 2079.798023    ],
                  [42.99316406, 2079.798253 ],
                  [43.01757813, 2079.798482 ],
                  [43.04199219, 2079.79871  ],
                  [43.06640625, 2079.798939 ],
                  [43.09082031, 2079.799167 ],
                  [43.11523438, 2079.799394 ],
                  [43.13964844, 2079.799621 ],
                  [43.1640625, 2079.799848  ],
                  [43.18847656, 2079.800074 ],
                  [43.21289063, 2079.8003   ],
                  [43.23730469, 2079.800526 ],
                  [43.26171875, 2079.800751 ],
                  [43.28613281, 2079.800976 ],
                  [43.31054688, 2079.8012   ],
                  [43.33496094, 2079.801424 ],
                  [43.359375, 2079.801648   ],
                  [43.38378906, 2079.801871 ],
                  [43.40820313, 2079.802094 ],
                  [43.43261719, 2079.802316 ],
                  [43.45703125, 2079.802539 ],
                  [43.48144531, 2079.80276  ],
                  [43.50585938, 2079.802982 ],
                  [43.53027344, 2079.803203 ],
                  [43.5546875, 2079.803424  ],
                  [43.57910156, 2079.803644 ],
                  [43.60351563, 2079.803864 ],
                  [43.62792969, 2079.804083 ],
                  [43.65234375, 2079.804302 ],
                  [43.67675781, 2079.804521 ],
                  [43.70117188, 2079.80474  ],
                  [43.72558594, 2079.804958 ],
                  [43.75, 2079.805176       ],
                  [43.77441406, 2079.805393 ],
                  [43.79882813, 2079.80561  ],
                  [43.82324219, 2079.805827 ],
                  [43.84765625, 2079.806043 ],
                  [43.87207031, 2079.806259 ],
                  [43.89648438, 2079.806474 ],
                  [43.92089844, 2079.806689 ],
                  [43.9453125, 2079.806904  ],
                  [43.96972656, 2079.807119 ],
                  [43.99414063, 2079.807333 ],
                  [44.01855469, 2079.807547 ],
                  [44.04296875, 2079.80776  ],
                  [44.06738281, 2079.807973 ],
                  [44.09179688, 2079.808186 ],
                  [44.11621094, 2079.808398 ],
                  [44.140625, 2079.80861    ],
                  [44.16503906, 2079.808822 ],
                  [44.18945313, 2079.809033 ],
                  [44.21386719, 2079.809244 ],
                  [44.23828125, 2079.809454 ],
                  [44.26269531, 2079.809665 ],
                  [44.28710938, 2079.809875 ],
                  [44.31152344, 2079.810084 ],
                  [44.3359375, 2079.810293  ],
                  [44.36035156, 2079.810502 ],
                  [44.38476563, 2079.810711 ],
                  [44.40917969, 2079.810919 ],
                  [44.43359375, 2079.811127 ],
                  [44.45800781, 2079.811334 ],
                  [44.48242188, 2079.811541 ],
                  [44.50683594, 2079.811748 ],
                  [44.53125, 2079.811955    ],
                  [44.55566406, 2079.812161 ],
                  [44.58007813, 2079.812366 ],
                  [44.60449219, 2079.812572 ],
                  [44.62890625, 2079.812777 ],
                  [44.65332031, 2079.812982 ],
                  [44.67773438, 2079.813186 ],
                  [44.70214844, 2079.81339  ],
                  [44.7265625, 2079.813594  ],
                  [44.75097656, 2079.813797 ],
                  [44.77539063, 2079.814    ],
                  [44.79980469, 2079.814203 ],
                  [44.82421875, 2079.814406 ],
                  [44.84863281, 2079.814608 ],
                  [44.87304688, 2079.81481  ],
                  [44.89746094, 2079.815011 ],
                  [44.921875, 2079.815212   ],
                  [44.94628906, 2079.815413 ],
                  [44.97070313, 2079.815613 ],
                  [44.99511719, 2079.815813 ],
                  [45.01953125, 2079.816013 ],
                  [45.04394531, 2079.816213 ],
                  [45.06835938, 2079.816412 ],
                  [45.09277344, 2079.816611 ],
                  [45.1171875, 2079.816809  ],
                  [45.14160156, 2079.817007 ],
                  [45.16601563, 2079.817205 ],
                  [45.19042969, 2079.817403 ],
                  [45.21484375, 2079.8176   ],
                  [45.23925781, 2079.817797 ],
                  [45.26367188, 2079.817993 ],
                  [45.28808594, 2079.81819  ],
                  [45.3125, 2079.818386     ],
                  [45.33691406, 2079.818581 ],
                  [45.36132813, 2079.818777 ],
                  [45.38574219, 2079.818972 ],
                  [45.41015625, 2079.819166 ],
                  [45.43457031, 2079.819361 ],
                  [45.45898438, 2079.819555 ],
                  [45.48339844, 2079.819748 ],
                  [45.5078125, 2079.819942  ],
                  [45.53222656, 2079.820135 ],
                  [45.55664063, 2079.820328 ],
                  [45.58105469, 2079.82052  ],
                  [45.60546875, 2079.820713 ],
                  [45.62988281, 2079.820904 ],
                  [45.65429688, 2079.821096 ],
                  [45.67871094, 2079.821287 ],
                  [45.703125, 2079.821478   ],
                  [45.72753906, 2079.821669 ],
                  [45.75195313, 2079.821859 ],
                  [45.77636719, 2079.822049 ],
                  [45.80078125, 2079.822239 ],
                  [45.82519531, 2079.822428 ],
                  [45.84960938, 2079.822618 ],
                  [45.87402344, 2079.822806 ],
                  [45.8984375, 2079.822995  ],
                  [45.92285156, 2079.823183 ],
                  [45.94726563, 2079.823371 ],
                  [45.97167969, 2079.823559 ],
                  [45.99609375, 2079.823746 ],
                  [46.02050781, 2079.823933 ],
                  [46.04492188, 2079.82412  ],
                  [46.06933594, 2079.824306 ],
                  [46.09375, 2079.824492    ],
                  [46.11816406, 2079.824678 ],
                  [46.14257813, 2079.824864 ],
                  [46.16699219, 2079.825049 ],
                  [46.19140625, 2079.825234 ],
                  [46.21582031, 2079.825419 ],
                  [46.24023438, 2079.825603 ],
                  [46.26464844, 2079.825787 ],
                  [46.2890625, 2079.825971  ],
                  [46.31347656, 2079.826154 ],
                  [46.33789063, 2079.826338 ],
                  [46.36230469, 2079.826521 ],
                  [46.38671875, 2079.826703 ],
                  [46.41113281, 2079.826886 ],
                  [46.43554688, 2079.827068 ],
                  [46.45996094, 2079.827249 ],
                  [46.484375, 2079.827431   ],
                  [46.50878906, 2079.827612 ],
                  [46.53320313, 2079.827793 ],
                  [46.55761719, 2079.827974 ],
                  [46.58203125, 2079.828154 ],
                  [46.60644531, 2079.828334 ],
                  [46.63085938, 2079.828514 ],
                  [46.65527344, 2079.828693 ],
                  [46.6796875, 2079.828873  ],
                  [46.70410156, 2079.829052 ],
                  [46.72851563, 2079.82923  ],
                  [46.75292969, 2079.829409 ],
                  [46.77734375, 2079.829587 ],
                  [46.80175781, 2079.829764 ],
                  [46.82617188, 2079.829942 ],
                  [46.85058594, 2079.830119 ],
                  [46.875, 2079.830296      ],
                  [46.89941406, 2079.830473 ],
                  [46.92382813, 2079.830649 ],
                  [46.94824219, 2079.830826 ],
                  [46.97265625, 2079.831001 ],
                  [46.99707031, 2079.831177 ],
                  [47.02148438, 2079.831352 ],
                  [47.04589844, 2079.831527 ],
                  [47.0703125, 2079.831702  ],
                  [47.09472656, 2079.831877 ],
                  [47.11914063, 2079.832051 ],
                  [47.14355469, 2079.832225 ],
                  [47.16796875, 2079.832399 ],
                  [47.19238281, 2079.832572 ],
                  [47.21679688, 2079.832745 ],
                  [47.24121094, 2079.832918 ],
                  [47.265625, 2079.833091   ],
                  [47.29003906, 2079.833263 ],
                  [47.31445313, 2079.833435 ],
                  [47.33886719, 2079.833607 ],
                  [47.36328125, 2079.833779 ],
                  [47.38769531, 2079.83395  ],
                  [47.41210938, 2079.834121 ],
                  [47.43652344, 2079.834292 ],
                  [47.4609375, 2079.834462  ],
                  [47.48535156, 2079.834632 ],
                  [47.50976563, 2079.834802 ],
                  [47.53417969, 2079.834972 ],
                  [47.55859375, 2079.835142 ],
                  [47.58300781, 2079.835311 ],
                  [47.60742188, 2079.83548  ],
                  [47.63183594, 2079.835648 ],
                  [47.65625, 2079.835817    ],
                  [47.68066406, 2079.835985 ],
                  [47.70507813, 2079.836153 ],
                  [47.72949219, 2079.836321 ],
                  [47.75390625, 2079.836488 ],
                  [47.77832031, 2079.836655 ],
                  [47.80273438, 2079.836822 ],
                  [47.82714844, 2079.836989 ],
                  [47.8515625, 2079.837155  ],
                  [47.87597656, 2079.837321 ],
                  [47.90039063, 2079.837487 ],
                  [47.92480469, 2079.837652 ],
                  [47.94921875, 2079.837818 ],
                  [47.97363281, 2079.837983 ],
                  [47.99804688, 2079.838148 ],
                  [48.02246094, 2079.838312 ],
                  [48.046875, 2079.838477   ],
                  [48.07128906, 2079.838641 ],
                  [48.09570313, 2079.838805 ],
                  [48.12011719, 2079.838968 ],
                  [48.14453125, 2079.839131 ],
                  [48.16894531, 2079.839295 ],
                  [48.19335938, 2079.839457 ],
                  [48.21777344, 2079.83962  ],
                  [48.2421875, 2079.839782  ],
                  [48.26660156, 2079.839944 ],
                  [48.29101563, 2079.840106 ],
                  [48.31542969, 2079.840268 ],
                  [48.33984375, 2079.840429 ],
                  [48.36425781, 2079.84059  ],
                  [48.38867188, 2079.840751 ],
                  [48.41308594, 2079.840912 ],
                  [48.4375, 2079.841072     ],
                  [48.46191406, 2079.841232 ],
                  [48.48632813, 2079.841392 ],
                  [48.51074219, 2079.841552 ],
                  [48.53515625, 2079.841711 ],
                  [48.55957031, 2079.841871 ],
                  [48.58398438, 2079.84203  ],
                  [48.60839844, 2079.842188 ],
                  [48.6328125, 2079.842347  ],
                  [48.65722656, 2079.842505 ],
                  [48.68164063, 2079.842663 ],
                  [48.70605469, 2079.842821 ],
                  [48.73046875, 2079.842978 ],
                  [48.75488281, 2079.843135 ],
                  [48.77929688, 2079.843293 ],
                  [48.80371094, 2079.843449 ],
                  [48.828125, 2079.843606   ],
                  [48.85253906, 2079.843762 ],
                  [48.87695313, 2079.843918 ],
                  [48.90136719, 2079.844074 ],
                  [48.92578125, 2079.84423  ],
                  [48.95019531, 2079.844385 ],
                  [48.97460938, 2079.84454  ],
                  [48.99902344, 2079.844695 ],
                  [49.0234375, 2079.84485   ],
                  [49.04785156, 2079.845005 ],
                  [49.07226563, 2079.845159 ],
                  [49.09667969, 2079.845313 ],
                  [49.12109375, 2079.845467 ],
                  [49.14550781, 2079.84562  ],
                  [49.16992188, 2079.845773 ],
                  [49.19433594, 2079.845927 ],
                  [49.21875, 2079.846079    ],
                  [49.24316406, 2079.846232 ],
                  [49.26757813, 2079.846384 ],
                  [49.29199219, 2079.846537 ],
                  [49.31640625, 2079.846689 ],
                  [49.34082031, 2079.84684  ],
                  [49.36523438, 2079.846992 ],
                  [49.38964844, 2079.847143 ],
                  [49.4140625, 2079.847294  ],
                  [49.43847656, 2079.847445 ],
                  [49.46289063, 2079.847596 ],
                  [49.48730469, 2079.847746 ],
                  [49.51171875, 2079.847896 ],
                  [49.53613281, 2079.848046 ],
                  [49.56054688, 2079.848196 ],
                  [49.58496094, 2079.848345 ],
                  [49.609375, 2079.848495   ],
                  [49.63378906, 2079.848644 ],
                  [49.65820313, 2079.848793 ],
                  [49.68261719, 2079.848941 ],
                  [49.70703125, 2079.84909  ],
                  [49.73144531, 2079.849238 ],
                  [49.75585938, 2079.849386 ],
                  [49.78027344, 2079.849533 ],
                  [49.8046875, 2079.849681  ],
                  [49.82910156, 2079.849828 ],
                  [49.85351563, 2079.849975 ],
                  [49.87792969, 2079.850122 ],
                  [49.90234375, 2079.850269 ],
                  [49.92675781, 2079.850415 ],
                  [49.95117188, 2079.850562 ],
                  [49.97558594, 2079.850708 ],
                  [50, 2079.850853]])
    
    '''
    plt.loglog(freqmag[:,0], freqmag[:,1], 'b-')
    plt.loglog(1.25, 1675, 'ro')
    plt.grid(which='both')
    plt.show()
    '''
    return exp(interp(log(domfreq), log(freqmag[:,0]),log(freqmag[:,1])))