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"""Power System Case: 533mt_lo

Data Source: MATPOWER case file
Base MVA: 16.666666666666668 MVA
Base kV: 77.94228634059948 kV

All values are in standard MATPOWER units (MW, MVAr, p.u.)


Nodes (bus) columns:
    id, type, Pd, Qd, Gs, Bs, Vm, Va, baseKV, Vmax, Vmin
    - type: 1=PQ, 2=PV, 3=Slack
    - Pd/Qd: Active/Reactive power demand (MW/MVAr)
    - Gs/Bs: Shunt conductance/susceptance (MW/MVAr at V=1.0 p.u.)
    - Vm: Voltage magnitude (p.u.)
    - Va: Voltage angle (degrees)
    - baseKV: Base voltage (kV)
    - Vmax/Vmin: Voltage limits (p.u.)

Units (generators) columns:
    id, bus_id, Pg, Qg, Qmax, Qmin, Vg, mBase, status, Pmax, Pmin, mc_a, mc_b, mc_c
    - Pg/Qg: Active/Reactive power output (MW/MVAr)
    - Qmax/Qmin: Reactive power limits (MVAr)
    - Vg: Voltage setpoint (p.u.)
    - mBase: Machine base (MVA)
    - status: >0 in-service, <=0 out-of-service
    - Pmax/Pmin: Active power limits (MW)
    - mc_a/mc_b/mc_c: Marginal cost coefficients (quadratic)

Lines (branches) columns:
    id, from, to, r, x, b, rateA, ratio, angle, status, floor, cap
    - r/x: Resistance/Reactance (p.u.)
    - b: Line charging susceptance (p.u.)
    - rateA: Long-term rating (MVA)
    - ratio: Transformer tap ratio (0 for line)
    - angle: Transformer phase shift (degrees)
    - status: 1=in-service, 0=out-of-service
    - floor/cap: Power flow limits (MW)

Loads columns:
    id, bus_id, Pd, Qd, mc_a, mc_b, mc_c, d_max, d_min
    - Pd/Qd: Active/Reactive power demand (MW/MVAr)
    - mc_a/mc_b/mc_c: Marginal utility coefficients
    - d_max/d_min: Demand limits (MW)
"""
from math import inf

from powerzoo.case.CaseBase import ClearCase, DataFrame


class Case533mt_lo(ClearCase):
    GRID_TYPE = "distribution"
    BUS_COUNT = 533
    VOLTAGE_LEVEL = "MV"
    SOURCE = "MATPOWER"
    DESCRIPTION = "533-bus Swedish distribution (low load)"

    def __init__(self, *args, **kwargs):
        # System base values
        self.baseMVA = 16.666666666666668
        self.baseKV = 77.94228634059948
        
        # Node (bus) data
        self.nodes = DataFrame(
            ['id', 'type', 'Pd', 'Qd', 'Gs', 'Bs', 'Vm', 'Va', 'baseKV', 'Vmax', 'Vmin'],
            [[1.0, 3.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 77.94228634059948, 1.0, 1.0],
             [2.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [3.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [4.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 77.94228634059948, 1.05, 0.95],
             [5.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [6.0, 1.0, -0.015666667, -0.000156667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [7.0, 1.0, -0.224666667, -0.002246667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [8.0, 1.0, -0.205333333, -0.002053333, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [9.0, 1.0, 0.004427333, 4.43e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [10.0, 1.0, 3.33e-05, 3.33e-07, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [11.0, 1.0, -0.001271, -1.27e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [12.0, 1.0, 0.000933333, 9.33e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [13.0, 1.0, 0.002866667, 2.87e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [14.0, 1.0, 0.002033333, 2.03e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [15.0, 1.0, 0.000966667, 9.67e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [16.0, 1.0, 0.000633333, 6.33e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [17.0, 1.0, 0.002332333, 2.33e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [18.0, 1.0, -0.000740333, -7.4e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [19.0, 1.0, 0.000566667, 5.67e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [20.0, 1.0, 0.002306667, 2.31e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [21.0, 1.0, 0.0006, 6e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [22.0, 1.0, 0.007484333, 7.48e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [23.0, 1.0, 0.034165333, 0.000341653, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [24.0, 1.0, 0.015535333, 0.000155353, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [25.0, 1.0, 0.017548667, 0.000175487, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [26.0, 1.0, 0.007739333, 7.74e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [27.0, 1.0, 0.001166667, 1.17e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [28.0, 1.0, 0.002838, 2.84e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [29.0, 1.0, 0.008333333, 8.33e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [30.0, 1.0, 0.090333333, 0.000903333, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [31.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [32.0, 1.0, 0.019124333, 0.000191243, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [33.0, 1.0, -0.018339, -0.00018339, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [34.0, 1.0, 0.107100667, 0.001071007, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [35.0, 1.0, 0.081759667, 0.000817597, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [36.0, 1.0, 0.074532333, 0.000745323, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [37.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [38.0, 1.0, 0.019531, 0.00019531, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [39.0, 1.0, 0.009567, 9.57e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [40.0, 1.0, 0.016669667, 0.000166697, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [41.0, 1.0, 0.000260333, 2.6e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [42.0, 1.0, -0.093666667, -0.000936667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [43.0, 1.0, -0.121, -0.00121, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [44.0, 1.0, 0.026635667, 0.000266357, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [45.0, 1.0, 0.001526, 1.53e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [46.0, 1.0, 0.015, 0.00015, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [47.0, 1.0, -0.195666667, -0.001956667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [48.0, 1.0, 0.002748, 2.75e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [49.0, 1.0, -0.0121, -0.000121, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [50.0, 1.0, 0.0044, 4.4e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [51.0, 1.0, 0.001533333, 1.53e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [52.0, 1.0, -0.181333333, -0.001813333, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [53.0, 1.0, 0.006189333, 6.19e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [54.0, 1.0, 0.0021, 2.1e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [55.0, 1.0, 0.0006, 6e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [56.0, 1.0, 0.008821, 8.82e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [57.0, 1.0, 0.023519333, 0.000235193, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [58.0, 1.0, 0.000946667, 9.47e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [59.0, 1.0, -0.010598, -0.00010598, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [60.0, 1.0, 0.031601, 0.00031601, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [61.0, 1.0, 0.056173333, 0.000561733, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [62.0, 1.0, 0.016211667, 0.000162117, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [63.0, 1.0, 0.022671, 0.00022671, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [64.0, 1.0, 0.006514333, 6.51e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [65.0, 1.0, 0.006666667, 6.67e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [66.0, 1.0, 0.036542333, 0.000365423, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [67.0, 1.0, 0.036350333, 0.000363503, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [68.0, 1.0, 0.044479333, 0.000444793, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [69.0, 1.0, 0.037717667, 0.000377177, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [70.0, 1.0, 0.015331333, 0.000153313, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [71.0, 1.0, -0.017377333, -0.000173773, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [72.0, 1.0, 0.524666667, 0.005246667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [73.0, 1.0, 0.038666667, 0.000386667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [74.0, 1.0, 0.009, 9e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [75.0, 1.0, 0.028793333, 0.000287933, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [76.0, 1.0, 0.005333333, 5.33e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [77.0, 1.0, 0.001703, 1.7e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [78.0, 1.0, 0.007500333, 7.5e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [79.0, 1.0, 0.002896333, 2.9e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [80.0, 1.0, 0.0018, 1.8e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [81.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [82.0, 1.0, 0.00476, 4.76e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [83.0, 1.0, -0.004191333, -4.19e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [84.0, 1.0, 0.00571, 5.71e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [85.0, 1.0, 0.003115667, 3.12e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [86.0, 1.0, -0.001128, -1.13e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [87.0, 1.0, 0.001928333, 1.93e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [88.0, 1.0, 0.000581333, 5.81e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [89.0, 1.0, 0.003095, 3.1e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [90.0, 1.0, 0.004434333, 4.43e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [91.0, 1.0, 0.004522333, 4.52e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [92.0, 1.0, 0.001226333, 1.23e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [93.0, 1.0, -0.007985667, -7.99e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [94.0, 1.0, 0.001045, 1.05e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [95.0, 1.0, 0.002198667, 2.2e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [96.0, 1.0, 0.001960667, 1.96e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [97.0, 1.0, -0.004037333, -4.04e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [98.0, 1.0, 0.000889667, 8.9e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [99.0, 1.0, 0.002322333, 2.32e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [100.0, 1.0, 0.001514667, 1.51e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [101.0, 1.0, -0.001014667, -1.01e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [102.0, 1.0, -0.000569333, -5.69e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [103.0, 1.0, 0.001540667, 1.54e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [104.0, 1.0, 0.001713667, 1.71e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [105.0, 1.0, 0.010341333, 0.000103413, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [106.0, 1.0, 0.001034, 1.03e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [107.0, 1.0, 0.010526, 0.00010526, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [108.0, 1.0, 0.016171, 0.00016171, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [109.0, 1.0, 0.0017, 1.7e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [110.0, 1.0, -0.006899667, -6.9e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [111.0, 1.0, 0.002333333, 2.33e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [112.0, 1.0, 0.001, 1e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [113.0, 1.0, 0.002286667, 2.29e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [114.0, 1.0, -0.148, -0.00148, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [115.0, 1.0, 0.001366667, 1.37e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [116.0, 1.0, 0.000533333, 5.33e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [117.0, 1.0, 0.000866667, 8.67e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [118.0, 1.0, 0.0019, 1.9e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [119.0, 1.0, 0.002525, 2.53e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [120.0, 1.0, -0.002066667, -2.07e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [121.0, 1.0, 0.0037, 3.7e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [122.0, 1.0, -0.002489333, -2.49e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [123.0, 1.0, -0.163, -0.00163, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [124.0, 1.0, -0.000433333, -4.33e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [125.0, 1.0, -0.009256667, -9.26e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [126.0, 1.0, -0.001566667, -1.57e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [127.0, 1.0, -0.001365, -1.37e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [128.0, 1.0, 0.005666667, 5.67e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [129.0, 1.0, 0.001833333, 1.83e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [130.0, 1.0, 0.000166667, 1.67e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [131.0, 1.0, 0.000252667, 2.53e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
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             [407.0, 1.0, 0.004, 4e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [408.0, 1.0, 0.002833333, 2.83e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [409.0, 1.0, 0.003366667, 3.37e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [410.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [411.0, 1.0, -0.012156333, -0.000121563, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [412.0, 1.0, -0.008513, -8.51e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [413.0, 1.0, -0.000311, -3.11e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [414.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [415.0, 1.0, 0.001068, 1.07e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [416.0, 1.0, 0.0008, 8e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [417.0, 1.0, 0.001606667, 1.61e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [418.0, 1.0, 0.0008, 8e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [419.0, 1.0, 0.005199, 5.2e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [420.0, 1.0, 0.018259667, 0.000182597, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [421.0, 1.0, -0.160666667, -0.001606667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [422.0, 1.0, -0.088266667, -0.000882667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [423.0, 1.0, -0.125333333, -0.001253333, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [424.0, 1.0, -0.155666667, -0.001556667, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [425.0, 1.0, 0.002303, 2.3e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [426.0, 1.0, 0.000946667, 9.47e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [427.0, 1.0, 0.002085667, 2.09e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [428.0, 1.0, 0.000513667, 5.14e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [429.0, 1.0, 0.002393667, 2.39e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [430.0, 1.0, 3.83e-05, 3.83e-07, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [431.0, 1.0, -0.00043, -4.3e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [432.0, 1.0, 0.000178, 1.78e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [433.0, 1.0, 0.000563667, 5.64e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [434.0, 1.0, 9.37e-05, 9.37e-07, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [435.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [436.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [437.0, 1.0, -0.001777667, -1.78e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [438.0, 1.0, 0.00016, 1.6e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [439.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [440.0, 1.0, -0.000532333, -5.32e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [441.0, 1.0, 0.000612, 6.12e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [442.0, 1.0, -0.002741667, -2.74e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [443.0, 1.0, -0.382, -0.00382, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [444.0, 1.0, 0.000855333, 8.55e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [445.0, 1.0, -0.00902, -9.02e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [446.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [447.0, 1.0, 0.000504, 5.04e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [448.0, 1.0, 0.001264667, 1.26e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [449.0, 1.0, 0.002999667, 3e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [450.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [451.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [452.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [453.0, 1.0, 0.00239, 2.39e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [454.0, 1.0, 0.020556667, 0.000205567, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [455.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [456.0, 1.0, 0.001519333, 1.52e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [457.0, 1.0, 0.002, 2e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [458.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [459.0, 1.0, 0.001395667, 1.4e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [460.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [461.0, 1.0, -0.016939667, -0.000169397, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [462.0, 1.0, 0.000971, 9.71e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [463.0, 1.0, 0.005468333, 5.47e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [464.0, 1.0, -0.000445, -4.45e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [465.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [466.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [467.0, 1.0, 0.00022, 2.2e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [468.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [469.0, 1.0, 0.001345, 1.35e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [470.0, 1.0, -0.006583667, -6.58e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [471.0, 1.0, 0.003801333, 3.8e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [472.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [473.0, 1.0, 0.000517, 5.17e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [474.0, 1.0, 0.005309, 5.31e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [475.0, 1.0, -0.015929333, -0.000159293, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [476.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [477.0, 1.0, 0.003926333, 3.93e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [478.0, 1.0, 0.002044, 2.04e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [479.0, 1.0, -0.003583, -3.58e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [480.0, 1.0, -0.008388667, -8.39e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [481.0, 1.0, 0.000987, 9.87e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [482.0, 1.0, 0.001138, 1.14e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [483.0, 1.0, -0.000517667, -5.18e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [484.0, 1.0, 0.000857, 8.57e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [485.0, 1.0, -0.012213, -0.00012213, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [486.0, 1.0, 0.001971, 1.97e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [487.0, 1.0, -0.003363, -3.36e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [488.0, 1.0, 0.000744667, 7.45e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [489.0, 1.0, 0.003361, 3.36e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [490.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [491.0, 1.0, 0.001970667, 1.97e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [492.0, 1.0, -0.001553667, -1.55e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [493.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [494.0, 1.0, 0.002171667, 2.17e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [495.0, 1.0, 0.000681, 6.81e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [496.0, 1.0, 0.025579333, 0.000255793, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [497.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [498.0, 1.0, -0.001396667, -1.4e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [499.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [500.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [501.0, 1.0, 1.33e-06, 1.33e-08, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [502.0, 1.0, 0.001276667, 1.28e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [503.0, 1.0, 0.000752333, 7.52e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [504.0, 1.0, -0.007499667, -7.5e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [505.0, 1.0, 0.001766667, 1.77e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [506.0, 1.0, 0.001148667, 1.15e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [507.0, 1.0, 0.017846, 0.00017846, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [508.0, 1.0, 0.008606, 8.61e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [509.0, 1.0, 0.019756, 0.00019756, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [510.0, 1.0, -0.017048667, -0.000170487, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [511.0, 1.0, 0.050497667, 0.000504977, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [512.0, 1.0, 0.047415667, 0.000474157, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [513.0, 1.0, 0.002659333, 2.66e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [514.0, 1.0, 0.005978333, 5.98e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [515.0, 1.0, 0.0, 0.0, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [516.0, 1.0, 0.009586333, 9.59e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [517.0, 1.0, 0.001947667, 1.95e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [518.0, 1.0, -0.009107333, -9.11e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [519.0, 1.0, 0.002887333, 2.89e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [520.0, 1.0, 0.005236, 5.24e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [521.0, 1.0, 0.00307, 3.07e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [522.0, 1.0, -0.000959333, -9.59e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [523.0, 1.0, 0.005016667, 5.02e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [524.0, 1.0, 0.012321333, 0.000123213, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [525.0, 1.0, 0.003456, 3.46e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [526.0, 1.0, 0.006206333, 6.21e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [527.0, 1.0, -0.03656, -0.0003656, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [528.0, 1.0, 0.001296, 1.3e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [529.0, 1.0, 0.003147667, 3.15e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [530.0, 1.0, 0.003143, 3.14e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [531.0, 1.0, 0.005816333, 5.82e-05, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [532.0, 1.0, -0.000495, -4.95e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95],
             [533.0, 1.0, -0.000610333, -6.1e-06, 0.0, 0.0, 1.0, 0.0, 6.92820323027551, 1.05, 0.95]])

        # Generator (unit) data
        self.units = DataFrame(
            ['id', 'bus_id', 'Pg', 'Qg', 'Qmax', 'Qmin', 'Vg', 'mBase', 'status', 'Pmax', 'Pmin', 'mc_a', 'mc_b', 'mc_c', 'p_max', 'p_min'],
            [[1.0, 1.0, 0.0, 0.0, 16.666666666666668, -16.666666666666668, 1.0, 16.666666666666668, 1.0, 16.666666666666668, -16.666666666666668, 0.0, 0.0, 0.0, 16.666666666666668, -16.666666666666668]])

        # Branch (line) data
        self.lines = DataFrame(
            ['id', 'from', 'to', 'r', 'x', 'b', 'rateA', 'ratio', 'angle', 'status', 'floor', 'cap'],
            [[1.0, 1.0, 2.0, 0.000289183, 0.000475417, 0.0, 53.00075471, 0.0, 0.0, 1.0, -53.00075471, 53.00075471],
             [2.0, 1.0, 3.0, 0.000328467, 0.000662892, 0.0, 54.55960044, 0.0, 0.0, 1.0, -54.55960044, 54.55960044],
             [3.0, 4.0, 1.0, 0.000961394, 0.001996898, 0.0, 50.66248612, 0.0, 0.0, 1.0, -50.66248612, 50.66248612],
             [4.0, 5.0, 2.0, 0.247364266, 0.139251062, 0.0, 5.40399852, 0.0, 0.0, 1.0, -5.40399852, 5.40399852],
             [5.0, 5.0, 6.0, 0.027863723, 0.004373436, 0.0, 1.662768775, 0.0, 0.0, 1.0, -1.662768775, 1.662768775],
             [6.0, 6.0, 7.0, 0.398977986, 0.066484391, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [7.0, 7.0, 8.0, 0.067883681, 0.012975432, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [8.0, 5.0, 9.0, 0.208766667, 0.063536421, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
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             [82.0, 72.0, 76.0, 0.049057639, 0.027252771, 0.0, 2.078460969, 0.0, 0.0, 1.0, -2.078460969, 2.078460969],
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             [86.0, 75.0, 78.0, 0.647027222, 0.139436645, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [87.0, 78.0, 79.0, 0.238282847, 0.039368737, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
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             [91.0, 83.0, 3.0, 0.071801944, 0.037280778, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
             [92.0, 83.0, 84.0, 0.145632326, 0.039760018, 0.0, 1.212435565, 0.0, 0.0, 1.0, -1.212435565, 1.212435565],
             [93.0, 84.0, 85.0, 0.0665, 0.020238729, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [94.0, 86.0, 85.0, 0.14211059, 0.027163323, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [95.0, 87.0, 85.0, 0.108955556, 0.033159729, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [96.0, 87.0, 88.0, 0.174583472, 0.031018428, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [97.0, 88.0, 89.0, 0.202983333, 0.033824481, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [98.0, 90.0, 87.0, 0.030888889, 0.00940078, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [99.0, 91.0, 90.0, 0.089866667, 0.027350182, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [100.0, 91.0, 92.0, 0.1394175, 0.026613653, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [101.0, 93.0, 91.0, 0.069133333, 0.021040162, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [102.0, 93.0, 94.0, 0.089666667, 0.027289314, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [103.0, 95.0, 94.0, 0.085977778, 0.026166631, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [104.0, 96.0, 95.0, 0.155377778, 0.047287951, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [105.0, 97.0, 96.0, 0.253416667, 0.025210845, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [106.0, 98.0, 96.0, 0.129112535, 0.021514892, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [107.0, 99.0, 98.0, 0.204941944, 0.034150857, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [108.0, 99.0, 100.0, 0.330416667, 0.032871095, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [109.0, 84.0, 101.0, 0.18617934, 0.030111838, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [110.0, 101.0, 102.0, 0.168462813, 0.027255389, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [111.0, 103.0, 102.0, 0.143077778, 0.043544547, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [112.0, 104.0, 103.0, 0.362375, 0.03605043, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [113.0, 103.0, 105.0, 0.122079306, 0.067922978, 0.0, 2.078460969, 0.0, 0.0, 1.0, -2.078460969, 2.078460969],
             [114.0, 106.0, 105.0, 0.153704931, 0.026831274, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [115.0, 105.0, 107.0, 0.065530486, 0.015646549, 0.0, 1.212435565, 0.0, 0.0, 1.0, -1.212435565, 1.212435565],
             [116.0, 107.0, 108.0, 0.087890938, 0.019427151, 0.0, 1.212435565, 0.0, 0.0, 1.0, -1.212435565, 1.212435565],
             [117.0, 109.0, 3.0, 0.353377431, 0.177703643, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
             [118.0, 109.0, 110.0, 0.221488889, 0.067408325, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [119.0, 111.0, 110.0, 0.078588889, 0.023917883, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [120.0, 111.0, 112.0, 0.108177778, 0.032923018, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [121.0, 112.0, 113.0, 0.105922222, 0.032236559, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [122.0, 114.0, 113.0, 0.100433333, 0.031636165, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [123.0, 114.0, 115.0, 0.108611458, 0.034103843, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [124.0, 115.0, 116.0, 0.129112535, 0.021514892, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [125.0, 115.0, 117.0, 0.093466667, 0.028445812, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [126.0, 117.0, 118.0, 0.038955556, 0.011855803, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
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             [230.0, 37.0, 216.0, 0.046779479, 0.015592444, 0.0, 1.212435565, 0.0, 0.0, 0.0, -1.212435565, 1.212435565],
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             [233.0, 219.0, 218.0, 0.073535069, 0.037259725, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
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             [237.0, 221.0, 216.0, 0.011122551, 0.004962834, 0.0, 3.60266568, 0.0, 0.0, 0.0, -3.60266568, 3.60266568],
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             [240.0, 223.0, 171.0, 0.006365972, 0.00320377, 0.0, 2.078460969, 0.0, 0.0, 0.0, -2.078460969, 2.078460969],
             [241.0, 224.0, 221.0, 0.035799826, 0.009119345, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
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             [243.0, 226.0, 225.0, 0.025084028, 0.013934818, 0.0, 2.078460969, 0.0, 0.0, 1.0, -2.078460969, 2.078460969],
             [244.0, 226.0, 227.0, 0.076790278, 0.037982292, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
             [245.0, 228.0, 227.0, 0.015508785, 0.00771741, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
             [246.0, 228.0, 229.0, 0.00981559, 0.005165847, 0.0, 1.80133284, 0.0, 0.0, 1.0, -1.80133284, 1.80133284],
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             [485.0, 431.0, 447.0, 0.164389792, 0.031421817, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [486.0, 266.0, 448.0, 0.124922569, 0.050345549, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [487.0, 448.0, 449.0, 0.235298438, 0.08259738, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [488.0, 449.0, 450.0, 0.277935417, 0.097564342, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [489.0, 450.0, 451.0, 0.069583125, 0.07024143, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [490.0, 450.0, 452.0, 0.27024375, 0.094864317, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [491.0, 451.0, 453.0, 0.05693375, 0.057472383, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [492.0, 451.0, 454.0, 0.184338542, 0.022021256, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [493.0, 452.0, 455.0, 0.038113542, 0.05815808, 0.0, 1.905255888, 0.0, 0.0, 1.0, -1.905255888, 1.905255888],
             [494.0, 452.0, 456.0, 0.119553646, 0.041967205, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [495.0, 266.0, 457.0, 0.19304625, 0.074222744, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [496.0, 457.0, 458.0, 0.229295694, 0.151653404, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [497.0, 458.0, 459.0, 0.035299514, 0.006747225, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [498.0, 458.0, 460.0, 0.100675, 0.050077641, 0.0, 1.143153533, 0.0, 0.0, 1.0, -1.143153533, 1.143153533],
             [499.0, 459.0, 461.0, 0.167906389, 0.02715645, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [500.0, 462.0, 461.0, 0.129891528, 0.021610885, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [501.0, 460.0, 463.0, 0.243535486, 0.039866811, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [502.0, 460.0, 464.0, 0.026378333, 0.017446311, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [503.0, 464.0, 465.0, 0.043483611, 0.028759535, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [504.0, 465.0, 466.0, 0.115857778, 0.076626935, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [505.0, 466.0, 467.0, 0.090790972, 0.060048053, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [506.0, 467.0, 468.0, 0.094485417, 0.062491514, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [507.0, 468.0, 469.0, 0.212763056, 0.140718916, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [508.0, 469.0, 470.0, 0.133125694, 0.081176573, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [509.0, 471.0, 470.0, 0.097166667, 0.029571877, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [510.0, 108.0, 471.0, 0.169511111, 0.051589315, 0.0, 1.420281662, 0.0, 0.0, 0.0, -1.420281662, 1.420281662],
             [511.0, 108.0, 472.0, 0.06104191, 0.05264873, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [512.0, 472.0, 473.0, 0.213125, 0.021202478, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [513.0, 472.0, 474.0, 0.020292188, 0.020484166, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [514.0, 474.0, 475.0, 0.103854375, 0.10483691, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [515.0, 475.0, 476.0, 0.062738125, 0.063331672, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [516.0, 476.0, 477.0, 0.099128924, 0.034905931, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [517.0, 478.0, 477.0, 0.469875, 0.046744935, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [518.0, 477.0, 479.0, 0.085144444, 0.025913012, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [519.0, 479.0, 480.0, 0.110633333, 0.033670347, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [520.0, 480.0, 481.0, 0.083044444, 0.025273895, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [521.0, 481.0, 482.0, 0.069488889, 0.021148373, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [522.0, 483.0, 482.0, 0.279235625, 0.045509787, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [523.0, 484.0, 477.0, 0.087755556, 0.026707683, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [524.0, 485.0, 484.0, 0.222391389, 0.037058576, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [525.0, 486.0, 484.0, 0.166259375, 0.02702446, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [526.0, 487.0, 486.0, 0.273960729, 0.044624251, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [527.0, 476.0, 488.0, 0.054679063, 0.055196365, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [528.0, 488.0, 489.0, 0.094940417, 0.074747652, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [529.0, 474.0, 490.0, 0.12913, 0.130351661, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [530.0, 490.0, 491.0, 0.054424688, 0.054939583, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [531.0, 490.0, 492.0, 0.014441563, 0.01457819, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [532.0, 493.0, 471.0, 0.092366667, 0.028111037, 0.0, 1.420281662, 0.0, 0.0, 0.0, -1.420281662, 1.420281662],
             [533.0, 493.0, 494.0, 0.079679861, 0.015230179, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [534.0, 493.0, 495.0, 0.168522222, 0.051288354, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [535.0, 495.0, 496.0, 0.259152743, 0.035106425, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [536.0, 480.0, 495.0, 0.168188889, 0.051186907, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [537.0, 495.0, 497.0, 0.101677778, 0.030944797, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [538.0, 498.0, 497.0, 0.1968, 0.059894464, 0.0, 1.420281662, 0.0, 0.0, 0.0, -1.420281662, 1.420281662],
             [539.0, 499.0, 497.0, 0.047696632, 0.007948011, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [540.0, 468.0, 500.0, 0.016754306, 0.011081095, 0.0, 1.073871501, 0.0, 0.0, 1.0, -1.073871501, 1.073871501],
             [541.0, 500.0, 501.0, 0.00670625, 0.006769696, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [542.0, 500.0, 502.0, 0.064761563, 0.065374252, 0.0, 1.454922678, 0.0, 0.0, 1.0, -1.454922678, 1.454922678],
             [543.0, 465.0, 503.0, 0.157962639, 0.03356879, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [544.0, 503.0, 504.0, 0.399791667, 0.039772781, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323],
             [545.0, 267.0, 505.0, 0.170510451, 0.029247246, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [546.0, 506.0, 505.0, 0.142507951, 0.028424869, 0.0, 0.969948452, 0.0, 0.0, 1.0, -0.969948452, 0.969948452],
             [547.0, 267.0, 507.0, 0.108311111, 0.032963597, 0.0, 1.420281662, 0.0, 0.0, 0.0, -1.420281662, 1.420281662],
             [548.0, 507.0, 508.0, 0.037244444, 0.011335041, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [549.0, 508.0, 509.0, 0.052833333, 0.016087354, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [550.0, 267.0, 510.0, 0.106677778, 0.032536864, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [551.0, 510.0, 511.0, 0.064555556, 0.019711312, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [552.0, 511.0, 509.0, 0.046688889, 0.014667747, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [553.0, 510.0, 512.0, 0.056566667, 0.017274505, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [554.0, 512.0, 306.0, 0.325790764, 0.034065773, 0.0, 0.6443229, 0.0, 0.0, 0.0, -0.6443229, 0.6443229],
             [555.0, 266.0, 513.0, 0.0991925, 0.035374879, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [556.0, 514.0, 513.0, 0.117133333, 0.035648568, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [557.0, 514.0, 515.0, 0.164478819, 0.027408214, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [558.0, 516.0, 514.0, 0.136722222, 0.041610286, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [559.0, 517.0, 516.0, 0.1214, 0.036947093, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [560.0, 498.0, 517.0, 0.132688889, 0.040382774, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [561.0, 498.0, 518.0, 0.129577778, 0.039435933, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [562.0, 519.0, 518.0, 0.0712, 0.021669135, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [563.0, 519.0, 520.0, 0.069722222, 0.021219386, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [564.0, 520.0, 521.0, 0.167577778, 0.051000921, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [565.0, 522.0, 521.0, 0.148133333, 0.045083164, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [566.0, 522.0, 523.0, 0.119133333, 0.036257252, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [567.0, 523.0, 524.0, 0.1228, 0.037373172, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [568.0, 524.0, 525.0, 0.050988889, 0.01551805, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [569.0, 525.0, 526.0, 0.256511285, 0.042744204, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [570.0, 525.0, 527.0, 0.132933333, 0.040457168, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [571.0, 527.0, 528.0, 0.081733333, 0.024874869, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [572.0, 348.0, 528.0, 0.164233333, 0.049983066, 0.0, 1.420281662, 0.0, 0.0, 0.0, -1.420281662, 1.420281662],
             [573.0, 529.0, 524.0, 0.144044444, 0.043838744, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [574.0, 529.0, 530.0, 0.061611111, 0.018750836, 0.0, 1.420281662, 0.0, 0.0, 1.0, -1.420281662, 1.420281662],
             [575.0, 530.0, 531.0, 0.113799757, 0.01896322, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [576.0, 532.0, 521.0, 0.214245347, 0.035701146, 0.0, 1.004589468, 0.0, 0.0, 1.0, -1.004589468, 1.004589468],
             [577.0, 517.0, 533.0, 0.560425521, 0.059721458, 0.0, 0.692820323, 0.0, 0.0, 1.0, -0.692820323, 0.692820323]])

        # Load data
        self.loads = DataFrame(
            ['id', 'bus_id', 'Pd', 'Qd', 'mc_a', 'mc_b', 'mc_c', 'd_max', 'd_min'],
            [[1.0, 1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [2.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [3.0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [4.0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [5.0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [6.0, 6.0, -0.015666667, -0.000156667, 0.0, 0.0, 0.0, -0.015666667, -0.015666667],
             [7.0, 7.0, -0.224666667, -0.002246667, 0.0, 0.0, 0.0, -0.224666667, -0.224666667],
             [8.0, 8.0, -0.205333333, -0.002053333, 0.0, 0.0, 0.0, -0.205333333, -0.205333333],
             [9.0, 9.0, 0.004427333, 4.43e-05, 0.0, 0.0, 0.0, 0.004427333, 0.004427333],
             [10.0, 10.0, 3.33e-05, 3.33e-07, 0.0, 0.0, 0.0, 3.33e-05, 3.33e-05],
             [11.0, 11.0, -0.001271, -1.27e-05, 0.0, 0.0, 0.0, -0.001271, -0.001271],
             [12.0, 12.0, 0.000933333, 9.33e-06, 0.0, 0.0, 0.0, 0.000933333, 0.000933333],
             [13.0, 13.0, 0.002866667, 2.87e-05, 0.0, 0.0, 0.0, 0.002866667, 0.002866667],
             [14.0, 14.0, 0.002033333, 2.03e-05, 0.0, 0.0, 0.0, 0.002033333, 0.002033333],
             [15.0, 15.0, 0.000966667, 9.67e-06, 0.0, 0.0, 0.0, 0.000966667, 0.000966667],
             [16.0, 16.0, 0.000633333, 6.33e-06, 0.0, 0.0, 0.0, 0.000633333, 0.000633333],
             [17.0, 17.0, 0.002332333, 2.33e-05, 0.0, 0.0, 0.0, 0.002332333, 0.002332333],
             [18.0, 18.0, -0.000740333, -7.4e-06, 0.0, 0.0, 0.0, -0.000740333, -0.000740333],
             [19.0, 19.0, 0.000566667, 5.67e-06, 0.0, 0.0, 0.0, 0.000566667, 0.000566667],
             [20.0, 20.0, 0.002306667, 2.31e-05, 0.0, 0.0, 0.0, 0.002306667, 0.002306667],
             [21.0, 21.0, 0.0006, 6e-06, 0.0, 0.0, 0.0, 0.0006, 0.0006],
             [22.0, 22.0, 0.007484333, 7.48e-05, 0.0, 0.0, 0.0, 0.007484333, 0.007484333],
             [23.0, 23.0, 0.034165333, 0.000341653, 0.0, 0.0, 0.0, 0.034165333, 0.034165333],
             [24.0, 24.0, 0.015535333, 0.000155353, 0.0, 0.0, 0.0, 0.015535333, 0.015535333],
             [25.0, 25.0, 0.017548667, 0.000175487, 0.0, 0.0, 0.0, 0.017548667, 0.017548667],
             [26.0, 26.0, 0.007739333, 7.74e-05, 0.0, 0.0, 0.0, 0.007739333, 0.007739333],
             [27.0, 27.0, 0.001166667, 1.17e-05, 0.0, 0.0, 0.0, 0.001166667, 0.001166667],
             [28.0, 28.0, 0.002838, 2.84e-05, 0.0, 0.0, 0.0, 0.002838, 0.002838],
             [29.0, 29.0, 0.008333333, 8.33e-05, 0.0, 0.0, 0.0, 0.008333333, 0.008333333],
             [30.0, 30.0, 0.090333333, 0.000903333, 0.0, 0.0, 0.0, 0.090333333, 0.090333333],
             [31.0, 31.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [32.0, 32.0, 0.019124333, 0.000191243, 0.0, 0.0, 0.0, 0.019124333, 0.019124333],
             [33.0, 33.0, -0.018339, -0.00018339, 0.0, 0.0, 0.0, -0.018339, -0.018339],
             [34.0, 34.0, 0.107100667, 0.001071007, 0.0, 0.0, 0.0, 0.107100667, 0.107100667],
             [35.0, 35.0, 0.081759667, 0.000817597, 0.0, 0.0, 0.0, 0.081759667, 0.081759667],
             [36.0, 36.0, 0.074532333, 0.000745323, 0.0, 0.0, 0.0, 0.074532333, 0.074532333],
             [37.0, 37.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [38.0, 38.0, 0.019531, 0.00019531, 0.0, 0.0, 0.0, 0.019531, 0.019531],
             [39.0, 39.0, 0.009567, 9.57e-05, 0.0, 0.0, 0.0, 0.009567, 0.009567],
             [40.0, 40.0, 0.016669667, 0.000166697, 0.0, 0.0, 0.0, 0.016669667, 0.016669667],
             [41.0, 41.0, 0.000260333, 2.6e-06, 0.0, 0.0, 0.0, 0.000260333, 0.000260333],
             [42.0, 42.0, -0.093666667, -0.000936667, 0.0, 0.0, 0.0, -0.093666667, -0.093666667],
             [43.0, 43.0, -0.121, -0.00121, 0.0, 0.0, 0.0, -0.121, -0.121],
             [44.0, 44.0, 0.026635667, 0.000266357, 0.0, 0.0, 0.0, 0.026635667, 0.026635667],
             [45.0, 45.0, 0.001526, 1.53e-05, 0.0, 0.0, 0.0, 0.001526, 0.001526],
             [46.0, 46.0, 0.015, 0.00015, 0.0, 0.0, 0.0, 0.015, 0.015],
             [47.0, 47.0, -0.195666667, -0.001956667, 0.0, 0.0, 0.0, -0.195666667, -0.195666667],
             [48.0, 48.0, 0.002748, 2.75e-05, 0.0, 0.0, 0.0, 0.002748, 0.002748],
             [49.0, 49.0, -0.0121, -0.000121, 0.0, 0.0, 0.0, -0.0121, -0.0121],
             [50.0, 50.0, 0.0044, 4.4e-05, 0.0, 0.0, 0.0, 0.0044, 0.0044],
             [51.0, 51.0, 0.001533333, 1.53e-05, 0.0, 0.0, 0.0, 0.001533333, 0.001533333],
             [52.0, 52.0, -0.181333333, -0.001813333, 0.0, 0.0, 0.0, -0.181333333, -0.181333333],
             [53.0, 53.0, 0.006189333, 6.19e-05, 0.0, 0.0, 0.0, 0.006189333, 0.006189333],
             [54.0, 54.0, 0.0021, 2.1e-05, 0.0, 0.0, 0.0, 0.0021, 0.0021],
             [55.0, 55.0, 0.0006, 6e-06, 0.0, 0.0, 0.0, 0.0006, 0.0006],
             [56.0, 56.0, 0.008821, 8.82e-05, 0.0, 0.0, 0.0, 0.008821, 0.008821],
             [57.0, 57.0, 0.023519333, 0.000235193, 0.0, 0.0, 0.0, 0.023519333, 0.023519333],
             [58.0, 58.0, 0.000946667, 9.47e-06, 0.0, 0.0, 0.0, 0.000946667, 0.000946667],
             [59.0, 59.0, -0.010598, -0.00010598, 0.0, 0.0, 0.0, -0.010598, -0.010598],
             [60.0, 60.0, 0.031601, 0.00031601, 0.0, 0.0, 0.0, 0.031601, 0.031601],
             [61.0, 61.0, 0.056173333, 0.000561733, 0.0, 0.0, 0.0, 0.056173333, 0.056173333],
             [62.0, 62.0, 0.016211667, 0.000162117, 0.0, 0.0, 0.0, 0.016211667, 0.016211667],
             [63.0, 63.0, 0.022671, 0.00022671, 0.0, 0.0, 0.0, 0.022671, 0.022671],
             [64.0, 64.0, 0.006514333, 6.51e-05, 0.0, 0.0, 0.0, 0.006514333, 0.006514333],
             [65.0, 65.0, 0.006666667, 6.67e-05, 0.0, 0.0, 0.0, 0.006666667, 0.006666667],
             [66.0, 66.0, 0.036542333, 0.000365423, 0.0, 0.0, 0.0, 0.036542333, 0.036542333],
             [67.0, 67.0, 0.036350333, 0.000363503, 0.0, 0.0, 0.0, 0.036350333, 0.036350333],
             [68.0, 68.0, 0.044479333, 0.000444793, 0.0, 0.0, 0.0, 0.044479333, 0.044479333],
             [69.0, 69.0, 0.037717667, 0.000377177, 0.0, 0.0, 0.0, 0.037717667, 0.037717667],
             [70.0, 70.0, 0.015331333, 0.000153313, 0.0, 0.0, 0.0, 0.015331333, 0.015331333],
             [71.0, 71.0, -0.017377333, -0.000173773, 0.0, 0.0, 0.0, -0.017377333, -0.017377333],
             [72.0, 72.0, 0.524666667, 0.005246667, 0.0, 0.0, 0.0, 0.524666667, 0.524666667],
             [73.0, 73.0, 0.038666667, 0.000386667, 0.0, 0.0, 0.0, 0.038666667, 0.038666667],
             [74.0, 74.0, 0.009, 9e-05, 0.0, 0.0, 0.0, 0.009, 0.009],
             [75.0, 75.0, 0.028793333, 0.000287933, 0.0, 0.0, 0.0, 0.028793333, 0.028793333],
             [76.0, 76.0, 0.005333333, 5.33e-05, 0.0, 0.0, 0.0, 0.005333333, 0.005333333],
             [77.0, 77.0, 0.001703, 1.7e-05, 0.0, 0.0, 0.0, 0.001703, 0.001703],
             [78.0, 78.0, 0.007500333, 7.5e-05, 0.0, 0.0, 0.0, 0.007500333, 0.007500333],
             [79.0, 79.0, 0.002896333, 2.9e-05, 0.0, 0.0, 0.0, 0.002896333, 0.002896333],
             [80.0, 80.0, 0.0018, 1.8e-05, 0.0, 0.0, 0.0, 0.0018, 0.0018],
             [81.0, 81.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [82.0, 82.0, 0.00476, 4.76e-05, 0.0, 0.0, 0.0, 0.00476, 0.00476],
             [83.0, 83.0, -0.004191333, -4.19e-05, 0.0, 0.0, 0.0, -0.004191333, -0.004191333],
             [84.0, 84.0, 0.00571, 5.71e-05, 0.0, 0.0, 0.0, 0.00571, 0.00571],
             [85.0, 85.0, 0.003115667, 3.12e-05, 0.0, 0.0, 0.0, 0.003115667, 0.003115667],
             [86.0, 86.0, -0.001128, -1.13e-05, 0.0, 0.0, 0.0, -0.001128, -0.001128],
             [87.0, 87.0, 0.001928333, 1.93e-05, 0.0, 0.0, 0.0, 0.001928333, 0.001928333],
             [88.0, 88.0, 0.000581333, 5.81e-06, 0.0, 0.0, 0.0, 0.000581333, 0.000581333],
             [89.0, 89.0, 0.003095, 3.1e-05, 0.0, 0.0, 0.0, 0.003095, 0.003095],
             [90.0, 90.0, 0.004434333, 4.43e-05, 0.0, 0.0, 0.0, 0.004434333, 0.004434333],
             [91.0, 91.0, 0.004522333, 4.52e-05, 0.0, 0.0, 0.0, 0.004522333, 0.004522333],
             [92.0, 92.0, 0.001226333, 1.23e-05, 0.0, 0.0, 0.0, 0.001226333, 0.001226333],
             [93.0, 93.0, -0.007985667, -7.99e-05, 0.0, 0.0, 0.0, -0.007985667, -0.007985667],
             [94.0, 94.0, 0.001045, 1.05e-05, 0.0, 0.0, 0.0, 0.001045, 0.001045],
             [95.0, 95.0, 0.002198667, 2.2e-05, 0.0, 0.0, 0.0, 0.002198667, 0.002198667],
             [96.0, 96.0, 0.001960667, 1.96e-05, 0.0, 0.0, 0.0, 0.001960667, 0.001960667],
             [97.0, 97.0, -0.004037333, -4.04e-05, 0.0, 0.0, 0.0, -0.004037333, -0.004037333],
             [98.0, 98.0, 0.000889667, 8.9e-06, 0.0, 0.0, 0.0, 0.000889667, 0.000889667],
             [99.0, 99.0, 0.002322333, 2.32e-05, 0.0, 0.0, 0.0, 0.002322333, 0.002322333],
             [100.0, 100.0, 0.001514667, 1.51e-05, 0.0, 0.0, 0.0, 0.001514667, 0.001514667],
             [101.0, 101.0, -0.001014667, -1.01e-05, 0.0, 0.0, 0.0, -0.001014667, -0.001014667],
             [102.0, 102.0, -0.000569333, -5.69e-06, 0.0, 0.0, 0.0, -0.000569333, -0.000569333],
             [103.0, 103.0, 0.001540667, 1.54e-05, 0.0, 0.0, 0.0, 0.001540667, 0.001540667],
             [104.0, 104.0, 0.001713667, 1.71e-05, 0.0, 0.0, 0.0, 0.001713667, 0.001713667],
             [105.0, 105.0, 0.010341333, 0.000103413, 0.0, 0.0, 0.0, 0.010341333, 0.010341333],
             [106.0, 106.0, 0.001034, 1.03e-05, 0.0, 0.0, 0.0, 0.001034, 0.001034],
             [107.0, 107.0, 0.010526, 0.00010526, 0.0, 0.0, 0.0, 0.010526, 0.010526],
             [108.0, 108.0, 0.016171, 0.00016171, 0.0, 0.0, 0.0, 0.016171, 0.016171],
             [109.0, 109.0, 0.0017, 1.7e-05, 0.0, 0.0, 0.0, 0.0017, 0.0017],
             [110.0, 110.0, -0.006899667, -6.9e-05, 0.0, 0.0, 0.0, -0.006899667, -0.006899667],
             [111.0, 111.0, 0.002333333, 2.33e-05, 0.0, 0.0, 0.0, 0.002333333, 0.002333333],
             [112.0, 112.0, 0.001, 1e-05, 0.0, 0.0, 0.0, 0.001, 0.001],
             [113.0, 113.0, 0.002286667, 2.29e-05, 0.0, 0.0, 0.0, 0.002286667, 0.002286667],
             [114.0, 114.0, -0.148, -0.00148, 0.0, 0.0, 0.0, -0.148, -0.148],
             [115.0, 115.0, 0.001366667, 1.37e-05, 0.0, 0.0, 0.0, 0.001366667, 0.001366667],
             [116.0, 116.0, 0.000533333, 5.33e-06, 0.0, 0.0, 0.0, 0.000533333, 0.000533333],
             [117.0, 117.0, 0.000866667, 8.67e-06, 0.0, 0.0, 0.0, 0.000866667, 0.000866667],
             [118.0, 118.0, 0.0019, 1.9e-05, 0.0, 0.0, 0.0, 0.0019, 0.0019],
             [119.0, 119.0, 0.002525, 2.53e-05, 0.0, 0.0, 0.0, 0.002525, 0.002525],
             [120.0, 120.0, -0.002066667, -2.07e-05, 0.0, 0.0, 0.0, -0.002066667, -0.002066667],
             [121.0, 121.0, 0.0037, 3.7e-05, 0.0, 0.0, 0.0, 0.0037, 0.0037],
             [122.0, 122.0, -0.002489333, -2.49e-05, 0.0, 0.0, 0.0, -0.002489333, -0.002489333],
             [123.0, 123.0, -0.163, -0.00163, 0.0, 0.0, 0.0, -0.163, -0.163],
             [124.0, 124.0, -0.000433333, -4.33e-06, 0.0, 0.0, 0.0, -0.000433333, -0.000433333],
             [125.0, 125.0, -0.009256667, -9.26e-05, 0.0, 0.0, 0.0, -0.009256667, -0.009256667],
             [126.0, 126.0, -0.001566667, -1.57e-05, 0.0, 0.0, 0.0, -0.001566667, -0.001566667],
             [127.0, 127.0, -0.001365, -1.37e-05, 0.0, 0.0, 0.0, -0.001365, -0.001365],
             [128.0, 128.0, 0.005666667, 5.67e-05, 0.0, 0.0, 0.0, 0.005666667, 0.005666667],
             [129.0, 129.0, 0.001833333, 1.83e-05, 0.0, 0.0, 0.0, 0.001833333, 0.001833333],
             [130.0, 130.0, 0.000166667, 1.67e-06, 0.0, 0.0, 0.0, 0.000166667, 0.000166667],
             [131.0, 131.0, 0.000252667, 2.53e-06, 0.0, 0.0, 0.0, 0.000252667, 0.000252667],
             [132.0, 132.0, 0.003044667, 3.04e-05, 0.0, 0.0, 0.0, 0.003044667, 0.003044667],
             [133.0, 133.0, 0.004182667, 4.18e-05, 0.0, 0.0, 0.0, 0.004182667, 0.004182667],
             [134.0, 134.0, 0.001166667, 1.17e-05, 0.0, 0.0, 0.0, 0.001166667, 0.001166667],
             [135.0, 135.0, 0.006259667, 6.26e-05, 0.0, 0.0, 0.0, 0.006259667, 0.006259667],
             [136.0, 136.0, 0.0051, 5.1e-05, 0.0, 0.0, 0.0, 0.0051, 0.0051],
             [137.0, 137.0, 0.001066667, 1.07e-05, 0.0, 0.0, 0.0, 0.001066667, 0.001066667],
             [138.0, 138.0, 0.000204, 2.04e-06, 0.0, 0.0, 0.0, 0.000204, 0.000204],
             [139.0, 139.0, -0.004076, -4.08e-05, 0.0, 0.0, 0.0, -0.004076, -0.004076],
             [140.0, 140.0, -0.001299667, -1.3e-05, 0.0, 0.0, 0.0, -0.001299667, -0.001299667],
             [141.0, 141.0, -0.003872, -3.87e-05, 0.0, 0.0, 0.0, -0.003872, -0.003872],
             [142.0, 142.0, 0.004060333, 4.06e-05, 0.0, 0.0, 0.0, 0.004060333, 0.004060333],
             [143.0, 143.0, -0.008910333, -8.91e-05, 0.0, 0.0, 0.0, -0.008910333, -0.008910333],
             [144.0, 144.0, -0.000287, -2.87e-06, 0.0, 0.0, 0.0, -0.000287, -0.000287],
             [145.0, 145.0, 0.006719333, 6.72e-05, 0.0, 0.0, 0.0, 0.006719333, 0.006719333],
             [146.0, 146.0, -0.004702667, -4.7e-05, 0.0, 0.0, 0.0, -0.004702667, -0.004702667],
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             [148.0, 148.0, 0.007329333, 7.33e-05, 0.0, 0.0, 0.0, 0.007329333, 0.007329333],
             [149.0, 149.0, -0.007299333, -7.3e-05, 0.0, 0.0, 0.0, -0.007299333, -0.007299333],
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             [152.0, 152.0, 0.008662333, 8.66e-05, 0.0, 0.0, 0.0, 0.008662333, 0.008662333],
             [153.0, 153.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [154.0, 154.0, 0.003066667, 3.07e-05, 0.0, 0.0, 0.0, 0.003066667, 0.003066667],
             [155.0, 155.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [156.0, 156.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [157.0, 157.0, 0.002, 2e-05, 0.0, 0.0, 0.0, 0.002, 0.002],
             [158.0, 158.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [159.0, 159.0, -0.005287, -5.29e-05, 0.0, 0.0, 0.0, -0.005287, -0.005287],
             [160.0, 160.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [161.0, 161.0, 0.000333333, 3.33e-06, 0.0, 0.0, 0.0, 0.000333333, 0.000333333],
             [162.0, 162.0, 0.000366667, 3.67e-06, 0.0, 0.0, 0.0, 0.000366667, 0.000366667],
             [163.0, 163.0, -0.005319333, -5.32e-05, 0.0, 0.0, 0.0, -0.005319333, -0.005319333],
             [164.0, 164.0, 0.000533333, 5.33e-06, 0.0, 0.0, 0.0, 0.000533333, 0.000533333],
             [165.0, 165.0, 0.001733333, 1.73e-05, 0.0, 0.0, 0.0, 0.001733333, 0.001733333],
             [166.0, 166.0, 0.000643333, 6.43e-06, 0.0, 0.0, 0.0, 0.000643333, 0.000643333],
             [167.0, 167.0, 0.051674667, 0.000516747, 0.0, 0.0, 0.0, 0.051674667, 0.051674667],
             [168.0, 168.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [169.0, 169.0, -0.136333333, -0.001363333, 0.0, 0.0, 0.0, -0.136333333, -0.136333333],
             [170.0, 170.0, 0.058563333, 0.000585633, 0.0, 0.0, 0.0, 0.058563333, 0.058563333],
             [171.0, 171.0, 0.023666667, 0.000236667, 0.0, 0.0, 0.0, 0.023666667, 0.023666667],
             [172.0, 172.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [173.0, 173.0, -0.367666667, -0.003676667, 0.0, 0.0, 0.0, -0.367666667, -0.367666667],
             [174.0, 174.0, -0.287666667, -0.002876667, 0.0, 0.0, 0.0, -0.287666667, -0.287666667],
             [175.0, 175.0, -0.377666667, -0.003776667, 0.0, 0.0, 0.0, -0.377666667, -0.377666667],
             [176.0, 176.0, -0.350666667, -0.003506667, 0.0, 0.0, 0.0, -0.350666667, -0.350666667],
             [177.0, 177.0, -0.354666667, -0.003546667, 0.0, 0.0, 0.0, -0.354666667, -0.354666667],
             [178.0, 178.0, 0.000833333, 8.33e-06, 0.0, 0.0, 0.0, 0.000833333, 0.000833333],
             [179.0, 179.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [180.0, 180.0, 0.027366, 0.00027366, 0.0, 0.0, 0.0, 0.027366, 0.027366],
             [181.0, 181.0, 0.006906667, 6.91e-05, 0.0, 0.0, 0.0, 0.006906667, 0.006906667],
             [182.0, 182.0, 0.002566667, 2.57e-05, 0.0, 0.0, 0.0, 0.002566667, 0.002566667],
             [183.0, 183.0, 0.007034333, 7.03e-05, 0.0, 0.0, 0.0, 0.007034333, 0.007034333],
             [184.0, 184.0, 0.000333333, 3.33e-06, 0.0, 0.0, 0.0, 0.000333333, 0.000333333],
             [185.0, 185.0, 0.001987333, 1.99e-05, 0.0, 0.0, 0.0, 0.001987333, 0.001987333],
             [186.0, 186.0, 0.000385667, 3.86e-06, 0.0, 0.0, 0.0, 0.000385667, 0.000385667],
             [187.0, 187.0, -0.008466, -8.47e-05, 0.0, 0.0, 0.0, -0.008466, -0.008466],
             [188.0, 188.0, 0.001133667, 1.13e-05, 0.0, 0.0, 0.0, 0.001133667, 0.001133667],
             [189.0, 189.0, 0.0014, 1.4e-05, 0.0, 0.0, 0.0, 0.0014, 0.0014],
             [190.0, 190.0, 0.0012, 1.2e-05, 0.0, 0.0, 0.0, 0.0012, 0.0012],
             [191.0, 191.0, 0.000466667, 4.67e-06, 0.0, 0.0, 0.0, 0.000466667, 0.000466667],
             [192.0, 192.0, 0.0025, 2.5e-05, 0.0, 0.0, 0.0, 0.0025, 0.0025],
             [193.0, 193.0, 0.002533333, 2.53e-05, 0.0, 0.0, 0.0, 0.002533333, 0.002533333],
             [194.0, 194.0, 0.000580667, 5.81e-06, 0.0, 0.0, 0.0, 0.000580667, 0.000580667],
             [195.0, 195.0, -0.099666667, -0.000996667, 0.0, 0.0, 0.0, -0.099666667, -0.099666667],
             [196.0, 196.0, 0.006733333, 6.73e-05, 0.0, 0.0, 0.0, 0.006733333, 0.006733333],
             [197.0, 197.0, 0.00021, 2.1e-06, 0.0, 0.0, 0.0, 0.00021, 0.00021],
             [198.0, 198.0, 0.0024, 2.4e-05, 0.0, 0.0, 0.0, 0.0024, 0.0024],
             [199.0, 199.0, 0.001133333, 1.13e-05, 0.0, 0.0, 0.0, 0.001133333, 0.001133333],
             [200.0, 200.0, 0.000815, 8.15e-06, 0.0, 0.0, 0.0, 0.000815, 0.000815],
             [201.0, 201.0, 0.00441, 4.41e-05, 0.0, 0.0, 0.0, 0.00441, 0.00441],
             [202.0, 202.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
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             [374.0, 374.0, 0.003572, 3.57e-05, 0.0, 0.0, 0.0, 0.003572, 0.003572],
             [375.0, 375.0, -0.00204, -2.04e-05, 0.0, 0.0, 0.0, -0.00204, -0.00204],
             [376.0, 376.0, 0.00452, 4.52e-05, 0.0, 0.0, 0.0, 0.00452, 0.00452],
             [377.0, 377.0, -0.140666667, -0.001406667, 0.0, 0.0, 0.0, -0.140666667, -0.140666667],
             [378.0, 378.0, -0.002266667, -2.27e-05, 0.0, 0.0, 0.0, -0.002266667, -0.002266667],
             [379.0, 379.0, 0.002258333, 2.26e-05, 0.0, 0.0, 0.0, 0.002258333, 0.002258333],
             [380.0, 380.0, -0.002823667, -2.82e-05, 0.0, 0.0, 0.0, -0.002823667, -0.002823667],
             [381.0, 381.0, -0.137333333, -0.001373333, 0.0, 0.0, 0.0, -0.137333333, -0.137333333],
             [382.0, 382.0, -0.136333333, -0.001363333, 0.0, 0.0, 0.0, -0.136333333, -0.136333333],
             [383.0, 383.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [384.0, 384.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [385.0, 385.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [386.0, 386.0, 0.004516, 4.52e-05, 0.0, 0.0, 0.0, 0.004516, 0.004516],
             [387.0, 387.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [388.0, 388.0, 1.87e-05, 1.87e-07, 0.0, 0.0, 0.0, 1.87e-05, 1.87e-05],
             [389.0, 389.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [390.0, 390.0, -0.000244333, -2.44e-06, 0.0, 0.0, 0.0, -0.000244333, -0.000244333],
             [391.0, 391.0, 0.003761667, 3.76e-05, 0.0, 0.0, 0.0, 0.003761667, 0.003761667],
             [392.0, 392.0, 0.000278667, 2.79e-06, 0.0, 0.0, 0.0, 0.000278667, 0.000278667],
             [393.0, 393.0, 0.006408333, 6.41e-05, 0.0, 0.0, 0.0, 0.006408333, 0.006408333],
             [394.0, 394.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [395.0, 395.0, 0.003124, 3.12e-05, 0.0, 0.0, 0.0, 0.003124, 0.003124],
             [396.0, 396.0, 0.002666667, 2.67e-05, 0.0, 0.0, 0.0, 0.002666667, 0.002666667],
             [397.0, 397.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [398.0, 398.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [399.0, 399.0, 0.002939, 2.94e-05, 0.0, 0.0, 0.0, 0.002939, 0.002939],
             [400.0, 400.0, 0.002300333, 2.3e-05, 0.0, 0.0, 0.0, 0.002300333, 0.002300333],
             [401.0, 401.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [402.0, 402.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [403.0, 403.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [404.0, 404.0, 0.000644333, 6.44e-06, 0.0, 0.0, 0.0, 0.000644333, 0.000644333],
             [405.0, 405.0, 0.001958667, 1.96e-05, 0.0, 0.0, 0.0, 0.001958667, 0.001958667],
             [406.0, 406.0, -0.00818, -8.18e-05, 0.0, 0.0, 0.0, -0.00818, -0.00818],
             [407.0, 407.0, 0.004, 4e-05, 0.0, 0.0, 0.0, 0.004, 0.004],
             [408.0, 408.0, 0.002833333, 2.83e-05, 0.0, 0.0, 0.0, 0.002833333, 0.002833333],
             [409.0, 409.0, 0.003366667, 3.37e-05, 0.0, 0.0, 0.0, 0.003366667, 0.003366667],
             [410.0, 410.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [411.0, 411.0, -0.012156333, -0.000121563, 0.0, 0.0, 0.0, -0.012156333, -0.012156333],
             [412.0, 412.0, -0.008513, -8.51e-05, 0.0, 0.0, 0.0, -0.008513, -0.008513],
             [413.0, 413.0, -0.000311, -3.11e-06, 0.0, 0.0, 0.0, -0.000311, -0.000311],
             [414.0, 414.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [415.0, 415.0, 0.001068, 1.07e-05, 0.0, 0.0, 0.0, 0.001068, 0.001068],
             [416.0, 416.0, 0.0008, 8e-06, 0.0, 0.0, 0.0, 0.0008, 0.0008],
             [417.0, 417.0, 0.001606667, 1.61e-05, 0.0, 0.0, 0.0, 0.001606667, 0.001606667],
             [418.0, 418.0, 0.0008, 8e-06, 0.0, 0.0, 0.0, 0.0008, 0.0008],
             [419.0, 419.0, 0.005199, 5.2e-05, 0.0, 0.0, 0.0, 0.005199, 0.005199],
             [420.0, 420.0, 0.018259667, 0.000182597, 0.0, 0.0, 0.0, 0.018259667, 0.018259667],
             [421.0, 421.0, -0.160666667, -0.001606667, 0.0, 0.0, 0.0, -0.160666667, -0.160666667],
             [422.0, 422.0, -0.088266667, -0.000882667, 0.0, 0.0, 0.0, -0.088266667, -0.088266667],
             [423.0, 423.0, -0.125333333, -0.001253333, 0.0, 0.0, 0.0, -0.125333333, -0.125333333],
             [424.0, 424.0, -0.155666667, -0.001556667, 0.0, 0.0, 0.0, -0.155666667, -0.155666667],
             [425.0, 425.0, 0.002303, 2.3e-05, 0.0, 0.0, 0.0, 0.002303, 0.002303],
             [426.0, 426.0, 0.000946667, 9.47e-06, 0.0, 0.0, 0.0, 0.000946667, 0.000946667],
             [427.0, 427.0, 0.002085667, 2.09e-05, 0.0, 0.0, 0.0, 0.002085667, 0.002085667],
             [428.0, 428.0, 0.000513667, 5.14e-06, 0.0, 0.0, 0.0, 0.000513667, 0.000513667],
             [429.0, 429.0, 0.002393667, 2.39e-05, 0.0, 0.0, 0.0, 0.002393667, 0.002393667],
             [430.0, 430.0, 3.83e-05, 3.83e-07, 0.0, 0.0, 0.0, 3.83e-05, 3.83e-05],
             [431.0, 431.0, -0.00043, -4.3e-06, 0.0, 0.0, 0.0, -0.00043, -0.00043],
             [432.0, 432.0, 0.000178, 1.78e-06, 0.0, 0.0, 0.0, 0.000178, 0.000178],
             [433.0, 433.0, 0.000563667, 5.64e-06, 0.0, 0.0, 0.0, 0.000563667, 0.000563667],
             [434.0, 434.0, 9.37e-05, 9.37e-07, 0.0, 0.0, 0.0, 9.37e-05, 9.37e-05],
             [435.0, 435.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [436.0, 436.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [437.0, 437.0, -0.001777667, -1.78e-05, 0.0, 0.0, 0.0, -0.001777667, -0.001777667],
             [438.0, 438.0, 0.00016, 1.6e-06, 0.0, 0.0, 0.0, 0.00016, 0.00016],
             [439.0, 439.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [440.0, 440.0, -0.000532333, -5.32e-06, 0.0, 0.0, 0.0, -0.000532333, -0.000532333],
             [441.0, 441.0, 0.000612, 6.12e-06, 0.0, 0.0, 0.0, 0.000612, 0.000612],
             [442.0, 442.0, -0.002741667, -2.74e-05, 0.0, 0.0, 0.0, -0.002741667, -0.002741667],
             [443.0, 443.0, -0.382, -0.00382, 0.0, 0.0, 0.0, -0.382, -0.382],
             [444.0, 444.0, 0.000855333, 8.55e-06, 0.0, 0.0, 0.0, 0.000855333, 0.000855333],
             [445.0, 445.0, -0.00902, -9.02e-05, 0.0, 0.0, 0.0, -0.00902, -0.00902],
             [446.0, 446.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [447.0, 447.0, 0.000504, 5.04e-06, 0.0, 0.0, 0.0, 0.000504, 0.000504],
             [448.0, 448.0, 0.001264667, 1.26e-05, 0.0, 0.0, 0.0, 0.001264667, 0.001264667],
             [449.0, 449.0, 0.002999667, 3e-05, 0.0, 0.0, 0.0, 0.002999667, 0.002999667],
             [450.0, 450.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [451.0, 451.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [452.0, 452.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [453.0, 453.0, 0.00239, 2.39e-05, 0.0, 0.0, 0.0, 0.00239, 0.00239],
             [454.0, 454.0, 0.020556667, 0.000205567, 0.0, 0.0, 0.0, 0.020556667, 0.020556667],
             [455.0, 455.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [456.0, 456.0, 0.001519333, 1.52e-05, 0.0, 0.0, 0.0, 0.001519333, 0.001519333],
             [457.0, 457.0, 0.002, 2e-05, 0.0, 0.0, 0.0, 0.002, 0.002],
             [458.0, 458.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [459.0, 459.0, 0.001395667, 1.4e-05, 0.0, 0.0, 0.0, 0.001395667, 0.001395667],
             [460.0, 460.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [461.0, 461.0, -0.016939667, -0.000169397, 0.0, 0.0, 0.0, -0.016939667, -0.016939667],
             [462.0, 462.0, 0.000971, 9.71e-06, 0.0, 0.0, 0.0, 0.000971, 0.000971],
             [463.0, 463.0, 0.005468333, 5.47e-05, 0.0, 0.0, 0.0, 0.005468333, 0.005468333],
             [464.0, 464.0, -0.000445, -4.45e-06, 0.0, 0.0, 0.0, -0.000445, -0.000445],
             [465.0, 465.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [466.0, 466.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [467.0, 467.0, 0.00022, 2.2e-06, 0.0, 0.0, 0.0, 0.00022, 0.00022],
             [468.0, 468.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [469.0, 469.0, 0.001345, 1.35e-05, 0.0, 0.0, 0.0, 0.001345, 0.001345],
             [470.0, 470.0, -0.006583667, -6.58e-05, 0.0, 0.0, 0.0, -0.006583667, -0.006583667],
             [471.0, 471.0, 0.003801333, 3.8e-05, 0.0, 0.0, 0.0, 0.003801333, 0.003801333],
             [472.0, 472.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [473.0, 473.0, 0.000517, 5.17e-06, 0.0, 0.0, 0.0, 0.000517, 0.000517],
             [474.0, 474.0, 0.005309, 5.31e-05, 0.0, 0.0, 0.0, 0.005309, 0.005309],
             [475.0, 475.0, -0.015929333, -0.000159293, 0.0, 0.0, 0.0, -0.015929333, -0.015929333],
             [476.0, 476.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [477.0, 477.0, 0.003926333, 3.93e-05, 0.0, 0.0, 0.0, 0.003926333, 0.003926333],
             [478.0, 478.0, 0.002044, 2.04e-05, 0.0, 0.0, 0.0, 0.002044, 0.002044],
             [479.0, 479.0, -0.003583, -3.58e-05, 0.0, 0.0, 0.0, -0.003583, -0.003583],
             [480.0, 480.0, -0.008388667, -8.39e-05, 0.0, 0.0, 0.0, -0.008388667, -0.008388667],
             [481.0, 481.0, 0.000987, 9.87e-06, 0.0, 0.0, 0.0, 0.000987, 0.000987],
             [482.0, 482.0, 0.001138, 1.14e-05, 0.0, 0.0, 0.0, 0.001138, 0.001138],
             [483.0, 483.0, -0.000517667, -5.18e-06, 0.0, 0.0, 0.0, -0.000517667, -0.000517667],
             [484.0, 484.0, 0.000857, 8.57e-06, 0.0, 0.0, 0.0, 0.000857, 0.000857],
             [485.0, 485.0, -0.012213, -0.00012213, 0.0, 0.0, 0.0, -0.012213, -0.012213],
             [486.0, 486.0, 0.001971, 1.97e-05, 0.0, 0.0, 0.0, 0.001971, 0.001971],
             [487.0, 487.0, -0.003363, -3.36e-05, 0.0, 0.0, 0.0, -0.003363, -0.003363],
             [488.0, 488.0, 0.000744667, 7.45e-06, 0.0, 0.0, 0.0, 0.000744667, 0.000744667],
             [489.0, 489.0, 0.003361, 3.36e-05, 0.0, 0.0, 0.0, 0.003361, 0.003361],
             [490.0, 490.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [491.0, 491.0, 0.001970667, 1.97e-05, 0.0, 0.0, 0.0, 0.001970667, 0.001970667],
             [492.0, 492.0, -0.001553667, -1.55e-05, 0.0, 0.0, 0.0, -0.001553667, -0.001553667],
             [493.0, 493.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [494.0, 494.0, 0.002171667, 2.17e-05, 0.0, 0.0, 0.0, 0.002171667, 0.002171667],
             [495.0, 495.0, 0.000681, 6.81e-06, 0.0, 0.0, 0.0, 0.000681, 0.000681],
             [496.0, 496.0, 0.025579333, 0.000255793, 0.0, 0.0, 0.0, 0.025579333, 0.025579333],
             [497.0, 497.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [498.0, 498.0, -0.001396667, -1.4e-05, 0.0, 0.0, 0.0, -0.001396667, -0.001396667],
             [499.0, 499.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [500.0, 500.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [501.0, 501.0, 1.33e-06, 1.33e-08, 0.0, 0.0, 0.0, 1.33e-06, 1.33e-06],
             [502.0, 502.0, 0.001276667, 1.28e-05, 0.0, 0.0, 0.0, 0.001276667, 0.001276667],
             [503.0, 503.0, 0.000752333, 7.52e-06, 0.0, 0.0, 0.0, 0.000752333, 0.000752333],
             [504.0, 504.0, -0.007499667, -7.5e-05, 0.0, 0.0, 0.0, -0.007499667, -0.007499667],
             [505.0, 505.0, 0.001766667, 1.77e-05, 0.0, 0.0, 0.0, 0.001766667, 0.001766667],
             [506.0, 506.0, 0.001148667, 1.15e-05, 0.0, 0.0, 0.0, 0.001148667, 0.001148667],
             [507.0, 507.0, 0.017846, 0.00017846, 0.0, 0.0, 0.0, 0.017846, 0.017846],
             [508.0, 508.0, 0.008606, 8.61e-05, 0.0, 0.0, 0.0, 0.008606, 0.008606],
             [509.0, 509.0, 0.019756, 0.00019756, 0.0, 0.0, 0.0, 0.019756, 0.019756],
             [510.0, 510.0, -0.017048667, -0.000170487, 0.0, 0.0, 0.0, -0.017048667, -0.017048667],
             [511.0, 511.0, 0.050497667, 0.000504977, 0.0, 0.0, 0.0, 0.050497667, 0.050497667],
             [512.0, 512.0, 0.047415667, 0.000474157, 0.0, 0.0, 0.0, 0.047415667, 0.047415667],
             [513.0, 513.0, 0.002659333, 2.66e-05, 0.0, 0.0, 0.0, 0.002659333, 0.002659333],
             [514.0, 514.0, 0.005978333, 5.98e-05, 0.0, 0.0, 0.0, 0.005978333, 0.005978333],
             [515.0, 515.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
             [516.0, 516.0, 0.009586333, 9.59e-05, 0.0, 0.0, 0.0, 0.009586333, 0.009586333],
             [517.0, 517.0, 0.001947667, 1.95e-05, 0.0, 0.0, 0.0, 0.001947667, 0.001947667],
             [518.0, 518.0, -0.009107333, -9.11e-05, 0.0, 0.0, 0.0, -0.009107333, -0.009107333],
             [519.0, 519.0, 0.002887333, 2.89e-05, 0.0, 0.0, 0.0, 0.002887333, 0.002887333],
             [520.0, 520.0, 0.005236, 5.24e-05, 0.0, 0.0, 0.0, 0.005236, 0.005236],
             [521.0, 521.0, 0.00307, 3.07e-05, 0.0, 0.0, 0.0, 0.00307, 0.00307],
             [522.0, 522.0, -0.000959333, -9.59e-06, 0.0, 0.0, 0.0, -0.000959333, -0.000959333],
             [523.0, 523.0, 0.005016667, 5.02e-05, 0.0, 0.0, 0.0, 0.005016667, 0.005016667],
             [524.0, 524.0, 0.012321333, 0.000123213, 0.0, 0.0, 0.0, 0.012321333, 0.012321333],
             [525.0, 525.0, 0.003456, 3.46e-05, 0.0, 0.0, 0.0, 0.003456, 0.003456],
             [526.0, 526.0, 0.006206333, 6.21e-05, 0.0, 0.0, 0.0, 0.006206333, 0.006206333],
             [527.0, 527.0, -0.03656, -0.0003656, 0.0, 0.0, 0.0, -0.03656, -0.03656],
             [528.0, 528.0, 0.001296, 1.3e-05, 0.0, 0.0, 0.0, 0.001296, 0.001296],
             [529.0, 529.0, 0.003147667, 3.15e-05, 0.0, 0.0, 0.0, 0.003147667, 0.003147667],
             [530.0, 530.0, 0.003143, 3.14e-05, 0.0, 0.0, 0.0, 0.003143, 0.003143],
             [531.0, 531.0, 0.005816333, 5.82e-05, 0.0, 0.0, 0.0, 0.005816333, 0.005816333],
             [532.0, 532.0, -0.000495, -4.95e-06, 0.0, 0.0, 0.0, -0.000495, -0.000495],
             [533.0, 533.0, -0.000610333, -6.1e-06, 0.0, 0.0, 0.0, -0.000610333, -0.000610333]])
        
        self.real_params = True
        super().__init__(*args, **kwargs)