%matplotlib notebook
import pandas as pd
import numpy as np
import matplotlib
from matplotlib import pyplot as plt
import seaborn as sns
<matplotlib.legend.Legend at 0x7f64ec77fb00>
from IPython.display import Math as latexmath
from IPython.display import IFrame
so tips are 383m/s sea level speed of sound is 344 m/s Tips are supersonic...
latexmath('V_{tip(HF)} = R_R\Omega')
def hover_flight_tip_speed(rotor_radius, rotor_frequency):
return rotor_radius*rotor_frequency
latexmath('V_{tip(FF)} = R_R\Omega + V_{\infty} \sin \psi')
def forward_flight_tip_speed(freestream_airspeed,blade_azimuth_angle,rotor_radius, rotor_frequency):
return (rotor_radius*rotor_frequency)+(freestream_airspeed*np.sin(blade_azimuth_angle))
latexmath('A = \pi R_R^2')
def rotor_disk_area(rotor_radius):
return np.pi*rotor_radius**2
latexmath(r'C_T = \frac{T}{A R_R^2 \Omega^2 \rho}')
def rotor_thrust_coefficent(rotor_thrust,rotor_area, rotor_radius, rotor_frequency, air_density):
return rotor_thrust/(air_density*rotor_area*(rotor_frequency**2)*(rotor_radius**2))
IFrame('https://upload.wikimedia.org/wikipedia/commons/e/e5/VTOL_DiscLoad-LiftEfficiency.svg',width=450,height=450)
airspeed = np.linspace(0, 150, 151)
rotor_frequency = 1
rotor_radius = 60
blade_azimuth_angles = np.linspace(0, 2*np.pi, 20)
tip_speed_matrix = [forward_flight_tip_speed(a ,blade_azimuth_angles,rotor_radius, rotor_frequency) for a in airspeed]
print(tip_speed_matrix)
[array([ 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60., 60.]), array([ 60. , 60.32469947, 60.61421271, 60.83716648, 60.96940027, 60.99658449, 60.91577333, 60.73572391, 60.47594739, 60.16459459, 59.83540541, 59.52405261, 59.26427609, 59.08422667, 59.00341551, 59.03059973, 59.16283352, 59.38578729, 59.67530053, 60. ]), array([ 60. , 60.64939894, 61.22842543, 61.67433296, 61.93880053, 61.99316899, 61.83154665, 61.47144782, 60.95189479, 60.32918918, 59.67081082, 59.04810521, 58.52855218, 58.16845335, 58.00683101, 58.06119947, 58.32566704, 58.77157457, 59.35060106, 60. ]), array([ 60. , 60.97409841, 61.84263814, 62.51149943, 62.9082008 , 62.98975348, 62.74731998, 62.20717173, 61.42784218, 60.49378377, 59.50621623, 58.57215782, 57.79282827, 57.25268002, 57.01024652, 57.0917992 , 57.48850057, 58.15736186, 59.02590159, 60. ]), array([ 60. , 61.29879788, 62.45685085, 63.34866591, 63.87760106, 63.98633797, 63.66309331, 62.94289564, 61.90378957, 60.65837836, 59.34162164, 58.09621043, 57.05710436, 56.33690669, 56.01366203, 56.12239894, 56.65133409, 57.54314915, 58.70120212, 60. ]), array([ 60. , 61.62349735, 63.07106356, 64.18583239, 64.84700133, 64.98292247, 64.57886663, 63.67861955, 62.37973697, 60.82297295, 59.17702705, 57.62026303, 56.32138045, 55.42113337, 55.01707753, 55.15299867, 55.81416761, 56.92893644, 58.37650265, 60. ]), array([ 60. , 61.94819682, 63.68527628, 65.02299887, 65.8164016 , 65.97950696, 65.49463996, 64.41434346, 62.85568436, 60.98756754, 59.01243246, 57.14431564, 55.58565654, 54.50536004, 54.02049304, 54.1835984 , 54.97700113, 56.31472372, 58.05180318, 60. ]), array([ 60. , 62.27289628, 64.29948899, 65.86016535, 66.78580186, 66.97609145, 66.41041329, 65.15006737, 63.33163175, 61.15216213, 58.84783787, 56.66836825, 54.84993263, 53.58958671, 53.02390855, 53.21419814, 54.13983465, 55.70051101, 57.72710372, 60. ]), array([ 60. , 62.59759575, 64.9137017 , 66.69733183, 67.75520213, 67.97267594, 67.32618661, 65.88579129, 63.80757914, 61.31675672, 58.68324328, 56.19242086, 54.11420871, 52.67381339, 52.02732406, 52.24479787, 53.30266817, 55.0862983 , 57.40240425, 60. ]), array([ 60. , 62.92229522, 65.52791441, 67.5344983 , 68.72460239, 68.96926044, 68.24195994, 66.6215152 , 64.28352654, 61.48135131, 58.51864869, 55.71647346, 53.3784848 , 51.75804006, 51.03073956, 51.27539761, 52.4655017 , 54.47208559, 57.07770478, 60. ]), array([ 60. , 63.24699469, 66.14212713, 68.37166478, 69.69400266, 69.96584493, 69.15773327, 67.35723911, 64.75947393, 61.6459459 , 58.3540541 , 55.24052607, 52.64276089, 50.84226673, 50.03415507, 50.30599734, 51.62833522, 53.85787287, 56.75300531, 60. ]), array([ 60. , 63.57169416, 66.75633984, 69.20883126, 70.66340293, 70.96242942, 70.07350659, 68.09296302, 65.23542132, 61.81054049, 58.18945951, 54.76457868, 51.90703698, 49.92649341, 49.03757058, 49.33659707, 50.79116874, 53.24366016, 56.42830584, 60. ]), array([ 60. , 63.89639363, 67.37055255, 70.04599774, 71.63280319, 71.95901392, 70.98927992, 68.82868693, 65.71136872, 61.97513508, 58.02486492, 54.28863128, 51.17131307, 49.01072008, 48.04098608, 48.36719681, 49.95400226, 52.62944745, 56.10360637, 60. ]), array([ 60. , 64.2210931 , 67.98476526, 70.88316422, 72.60220346, 72.95559841, 71.90505325, 69.56441084, 66.18731611, 62.13972967, 57.86027033, 53.81268389, 50.43558916, 48.09494675, 47.04440159, 47.39779654, 49.11683578, 52.01523474, 55.7789069 , 60. ]), array([ 60. , 64.54579257, 68.59897798, 71.7203307 , 73.57160372, 73.9521829 , 72.82082657, 70.30013475, 66.6632635 , 62.30432426, 57.69567574, 53.3367365 , 49.69986525, 47.17917343, 46.0478171 , 46.42839628, 48.2796693 , 51.40102202, 55.45420743, 60. ]), array([ 60. , 64.87049204, 69.21319069, 72.55749717, 74.54100399, 74.9487674 , 73.7365999 , 71.03585866, 67.1392109 , 62.46891885, 57.53108115, 52.8607891 , 48.96414134, 46.2634001 , 45.0512326 , 45.45899601, 47.44250283, 50.78680931, 55.12950796, 60. ]), array([ 60. , 65.19519151, 69.8274034 , 73.39466365, 75.51040426, 75.94535189, 74.65237323, 71.77158257, 67.61515829, 62.63351344, 57.36648656, 52.38484171, 48.22841743, 45.34762677, 44.05464811, 44.48959574, 46.60533635, 50.1725966 , 54.80480849, 60. ]), array([ 60. , 65.51989098, 70.44161612, 74.23183013, 76.47980452, 76.94193638, 75.56814655, 72.50730648, 68.09110568, 62.79810803, 57.20189197, 51.90889432, 47.49269352, 44.43185345, 43.05806362, 43.52019548, 45.76816987, 49.55838388, 54.48010902, 60. ]), array([ 60. , 65.84459045, 71.05582883, 75.06899661, 77.44920479, 77.93852087, 76.48391988, 73.24303039, 68.56705307, 62.96270263, 57.03729737, 51.43294693, 46.75696961, 43.51608012, 42.06147913, 42.55079521, 44.93100339, 48.94417117, 54.15540955, 60. ]), array([ 60. , 66.16928991, 71.67004154, 75.90616309, 78.41860505, 78.93510537, 77.39969321, 73.9787543 , 69.04300047, 63.12729722, 56.87270278, 50.95699953, 46.0212457 , 42.60030679, 41.06489463, 41.58139495, 44.09383691, 48.32995846, 53.83071009, 60. ]), array([ 60. , 66.49398938, 72.28425425, 76.74332957, 79.38800532, 79.93168986, 78.31546653, 74.71447821, 69.51894786, 63.29189181, 56.70810819, 50.48105214, 45.28552179, 41.68453347, 40.06831014, 40.61199468, 43.25667043, 47.71574575, 53.50601062, 60. ]), array([ 60. , 66.81868885, 72.89846697, 77.58049604, 80.35740558, 80.92827435, 79.23123986, 75.45020212, 69.99489525, 63.4564864 , 56.5435136 , 50.00510475, 44.54979788, 40.76876014, 39.07172565, 39.64259442, 42.41950396, 47.10153303, 53.18131115, 60. ]), array([ 60. , 67.14338832, 73.51267968, 78.41766252, 81.32680585, 81.92485885, 80.14701319, 76.18592603, 70.47084265, 63.62108099, 56.37891901, 49.52915735, 43.81407397, 39.85298681, 38.07514115, 38.67319415, 41.58233748, 46.48732032, 52.85661168, 60. ]), array([ 60. , 67.46808779, 74.12689239, 79.254829 , 82.29620612, 82.92144334, 81.06278651, 76.92164995, 70.94679004, 63.78567558, 56.21432442, 49.05320996, 43.07835005, 38.93721349, 37.07855666, 37.70379388, 40.745171 , 45.87310761, 52.53191221, 60. ]), array([ 60. , 67.79278726, 74.7411051 , 80.09199548, 83.26560638, 83.91802783, 81.97855984, 77.65737386, 71.42273743, 63.95027017, 56.04972983, 48.57726257, 42.34262614, 38.02144016, 36.08197217, 36.73439362, 39.90800452, 45.2588949 , 52.20721274, 60. ]), array([ 60. , 68.11748673, 75.35531782, 80.92916196, 84.23500665, 84.91461233, 82.89433317, 78.39309777, 71.89868483, 64.11486476, 55.88513524, 48.10131517, 41.60690223, 37.10566683, 35.08538767, 35.76499335, 39.07083804, 44.64468218, 51.88251327, 60. ]), array([ 60. , 68.4421862 , 75.96953053, 81.76632843, 85.20440691, 85.91119682, 83.81010649, 79.12882168, 72.37463222, 64.27945935, 55.72054065, 47.62536778, 40.87117832, 36.18989351, 34.08880318, 34.79559309, 38.23367157, 44.03046947, 51.5578138 , 60. ]), array([ 60. , 68.76688567, 76.58374324, 82.60349491, 86.17380718, 86.90778131, 84.72587982, 79.86454559, 72.85057961, 64.44405394, 55.55594606, 47.14942039, 40.13545441, 35.27412018, 33.09221869, 33.82619282, 37.39650509, 43.41625676, 51.23311433, 60. ]), array([ 60. , 69.09158514, 77.19795596, 83.44066139, 87.14320745, 87.9043658 , 85.64165315, 80.6002695 , 73.32652701, 64.60864853, 55.39135147, 46.67347299, 39.3997305 , 34.35834685, 32.0956342 , 32.85679255, 36.55933861, 42.80204404, 50.90841486, 60. ]), array([ 60. , 69.41628461, 77.81216867, 84.27782787, 88.11260771, 88.9009503 , 86.55742647, 81.33599341, 73.8024744 , 64.77324312, 55.22675688, 46.1975256 , 38.66400659, 33.44257353, 31.0990497 , 31.88739229, 35.72217213, 42.18783133, 50.58371539, 60. ]), array([ 60. , 69.74098408, 78.42638138, 85.11499435, 89.08200798, 89.89753479, 87.4731998 , 82.07171732, 74.27842179, 64.93783771, 55.06216229, 45.72157821, 37.92828268, 32.5268002 , 30.10246521, 30.91799202, 34.88500565, 41.57361862, 50.25901592, 60. ]), array([ 60. , 70.06568355, 79.04059409, 85.95216083, 90.05140824, 90.89411928, 88.38897313, 82.80744123, 74.75436918, 65.1024323 , 54.8975677 , 45.24563082, 37.19255877, 31.61102687, 29.10588072, 29.94859176, 34.04783917, 40.95940591, 49.93431645, 60. ]), array([ 60. , 70.39038301, 79.65480681, 86.7893273 , 91.02080851, 91.89070378, 89.30474645, 83.54316514, 75.23031658, 65.26702689, 54.73297311, 44.76968342, 36.45683486, 30.69525355, 28.10929622, 28.97919149, 33.2106727 , 40.34519319, 49.60961699, 60. ]), array([ 60. , 70.71508248, 80.26901952, 87.62649378, 91.99020878, 92.88728827, 90.22051978, 84.27888905, 75.70626397, 65.43162148, 54.56837852, 44.29373603, 35.72111095, 29.77948022, 27.11271173, 28.00979122, 32.37350622, 39.73098048, 49.28491752, 60. ]), array([ 60. , 71.03978195, 80.88323223, 88.46366026, 92.95960904, 93.88387276, 91.13629311, 85.01461296, 76.18221136, 65.59621607, 54.40378393, 43.81778864, 34.98538704, 28.86370689, 26.11612724, 27.04039096, 31.53633974, 39.11676777, 48.96021805, 60. ]), array([ 60. , 71.36448142, 81.49744494, 89.30082674, 93.92900931, 94.88045726, 92.05206643, 85.75033687, 76.65815876, 65.76081066, 54.23918934, 43.34184124, 34.24966313, 27.94793357, 25.11954274, 26.07099069, 30.69917326, 38.50255506, 48.63551858, 60. ]), array([ 60. , 71.68918089, 82.11165766, 90.13799322, 94.89840957, 95.87704175, 92.96783976, 86.48606078, 77.13410615, 65.92540525, 54.07459475, 42.86589385, 33.51393922, 27.03216024, 24.12295825, 25.10159043, 29.86200678, 37.88834234, 48.31081911, 60. ]), array([ 60. , 72.01388036, 82.72587037, 90.9751597 , 95.86780984, 96.87362624, 93.88361309, 87.22178469, 77.61005354, 66.08999984, 53.91000016, 42.38994646, 32.77821531, 26.11638691, 23.12637376, 24.13219016, 29.0248403 , 37.27412963, 47.98611964, 60. ]), array([ 60. , 72.33857983, 83.34008308, 91.81232617, 96.83721011, 97.87021073, 94.79938641, 87.95750861, 78.08600094, 66.25459443, 53.74540557, 41.91399906, 32.04249139, 25.20061359, 22.12978927, 23.16278989, 28.18767383, 36.65991692, 47.66142017, 60. ]), array([ 60. , 72.6632793 , 83.95429579, 92.64949265, 97.80661037, 98.86679523, 95.71515974, 88.69323252, 78.56194833, 66.41918902, 53.58081098, 41.43805167, 31.30676748, 24.28484026, 21.13320477, 22.19338963, 27.35050735, 36.04570421, 47.3367207 , 60. ]), array([ 60. , 72.98797877, 84.56850851, 93.48665913, 98.77601064, 99.86337972, 96.63093307, 89.42895643, 79.03789572, 66.58378361, 53.41621639, 40.96210428, 30.57104357, 23.36906693, 20.13662028, 21.22398936, 26.51334087, 35.43149149, 47.01202123, 60. ]), array([ 60. , 73.31267824, 85.18272122, 94.32382561, 99.7454109 , 100.85996421, 97.54670639, 90.16468034, 79.51384311, 66.7483782 , 53.2516218 , 40.48615689, 29.83531966, 22.45329361, 19.14003579, 20.2545891 , 25.67617439, 34.81727878, 46.68732176, 60. ]), array([ 60. , 73.63737771, 85.79693393, 95.16099209, 100.71481117, 101.85654871, 98.46247972, 90.90040425, 79.98979051, 66.91297279, 53.08702721, 40.01020949, 29.09959575, 21.53752028, 18.14345129, 19.28518883, 24.83900791, 34.20306607, 46.36262229, 60. ]), array([ 60. , 73.96207718, 86.41114665, 95.99815857, 101.68421144, 102.8531332 , 99.37825305, 91.63612816, 80.4657379 , 67.07756738, 52.92243262, 39.5342621 , 28.36387184, 20.62174695, 17.1468668 , 18.31578856, 24.00184143, 33.58885335, 46.03792282, 60. ]), array([ 60. , 74.28677665, 87.02535936, 96.83532504, 102.6536117 , 103.84971769, 100.29402637, 92.37185207, 80.94168529, 67.24216197, 52.75783803, 39.05831471, 27.62814793, 19.70597363, 16.15028231, 17.3463883 , 23.16467496, 32.97464064, 45.71322335, 60. ]), array([ 60. , 74.61147611, 87.63957207, 97.67249152, 103.62301197, 104.84630219, 101.2097997 , 93.10757598, 81.41763269, 67.40675656, 52.59324344, 38.58236731, 26.89242402, 18.7902003 , 15.15369781, 16.37698803, 22.32750848, 32.36042793, 45.38852389, 60. ]), array([ 60. , 74.93617558, 88.25378478, 98.509658 , 104.59241223, 105.84288668, 102.12557303, 93.84329989, 81.89358008, 67.57135115, 52.42864885, 38.10641992, 26.15670011, 17.87442697, 14.15711332, 15.40758777, 21.490342 , 31.74621522, 45.06382442, 60. ]), array([ 60. , 75.26087505, 88.8679975 , 99.34682448, 105.5618125 , 106.83947117, 103.04134635, 94.5790238 , 82.36952747, 67.73594574, 52.26405426, 37.63047253, 25.4209762 , 16.95865365, 13.16052883, 14.4381875 , 20.65317552, 31.1320025 , 44.73912495, 60. ]), array([ 60. , 75.58557452, 89.48221021, 100.18399096, 106.53121277, 107.83605566, 103.95711968, 95.31474771, 82.84547487, 67.90054033, 52.09945967, 37.15452513, 24.68525229, 16.04288032, 12.16394434, 13.46878723, 19.81600904, 30.51778979, 44.41442548, 60. ]), array([ 60. , 75.91027399, 90.09642292, 101.02115743, 107.50061303, 108.83264016, 104.87289301, 96.05047162, 83.32142226, 68.06513492, 51.93486508, 36.67857774, 23.94952838, 15.12710699, 11.16735984, 12.49938697, 18.97884257, 29.90357708, 44.08972601, 60. ]), array([ 60. , 76.23497346, 90.71063563, 101.85832391, 108.4700133 , 109.82922465, 105.78866633, 96.78619553, 83.79736965, 68.22972951, 51.77027049, 36.20263035, 23.21380447, 14.21133367, 10.17077535, 11.5299867 , 18.14167609, 29.28936437, 43.76502654, 60. ]), array([ 60. , 76.55967293, 91.32484835, 102.69549039, 109.43941356, 110.82580914, 106.70443966, 97.52191944, 84.27331704, 68.3943241 , 51.6056759 , 35.72668296, 22.47808056, 13.29556034, 9.17419086, 10.56058644, 17.30450961, 28.67515165, 43.44032707, 60. ]), array([ 60. , 76.8843724 , 91.93906106, 103.53265687, 110.40881383, 111.82239364, 107.62021299, 98.25764336, 84.74926444, 68.55891869, 51.44108131, 35.25073556, 21.74235664, 12.37978701, 8.17760636, 9.59118617, 16.46734313, 28.06093894, 43.1156276 , 60. ]), array([ 60. , 77.20907187, 92.55327377, 104.36982335, 111.37821409, 112.81897813, 108.53598631, 98.99336727, 85.22521183, 68.72351328, 51.27648672, 34.77478817, 21.00663273, 11.46401369, 7.18102187, 8.62178591, 15.63017665, 27.44672623, 42.79092813, 60. ]), array([ 60. , 77.53377134, 93.16748649, 105.20698983, 112.34761436, 113.81556262, 109.45175964, 99.72909118, 85.70115922, 68.88810788, 51.11189212, 34.29884078, 20.27090882, 10.54824036, 6.18443738, 7.65238564, 14.79301017, 26.83251351, 42.46622866, 60. ]), array([ 60. , 77.85847081, 93.7816992 , 106.0441563 , 113.31701463, 114.81214712, 110.36753297, 100.46481509, 86.17710662, 69.05270247, 50.94729753, 33.82289338, 19.53518491, 9.63246703, 5.18785288, 6.68298537, 13.9558437 , 26.2183008 , 42.14152919, 60. ]), array([ 60. , 78.18317028, 94.39591191, 106.88132278, 114.28641489, 115.80873161, 111.28330629, 101.200539 , 86.65305401, 69.21729706, 50.78270294, 33.34694599, 18.799461 , 8.71669371, 4.19126839, 5.71358511, 13.11867722, 25.60408809, 41.81682972, 60. ]), array([ 60. , 78.50786974, 95.01012462, 107.71848926, 115.25581516, 116.8053161 , 112.19907962, 101.93626291, 87.1290014 , 69.38189165, 50.61810835, 32.8709986 , 18.06373709, 7.80092038, 3.1946839 , 4.74418484, 12.28151074, 24.98987538, 41.49213026, 60. ]), array([ 60. , 78.83256921, 95.62433734, 108.55565574, 116.22521542, 117.80190059, 113.11485295, 102.67198682, 87.6049488 , 69.54648624, 50.45351376, 32.3950512 , 17.32801318, 6.88514705, 2.19809941, 3.77478458, 11.44434426, 24.37566266, 41.16743079, 60. ]), array([ 60. , 79.15726868, 96.23855005, 109.39282222, 117.19461569, 118.79848509, 114.03062627, 103.40771073, 88.08089619, 69.71108083, 50.28891917, 31.91910381, 16.59228927, 5.96937373, 1.20151491, 2.80538431, 10.60717778, 23.76144995, 40.84273132, 60. ]), array([ 60. , 79.48196815, 96.85276276, 110.2299887 , 118.16401596, 119.79506958, 114.9463996 , 104.14343464, 88.55684358, 69.87567542, 50.12432458, 31.44315642, 15.85656536, 5.0536004 , 0.20493042, 1.83598404, 9.7700113 , 23.14723724, 40.51803185, 60. ]), array([ 60. , 79.80666762, 97.46697547, 111.06715517, 119.13341622, 120.79165407, 115.86217293, 104.87915855, 89.03279098, 70.04027001, 49.95972999, 30.96720902, 15.12084145, 4.13782707, -0.79165407, 0.86658378, 8.93284483, 22.53302453, 40.19333238, 60. ]), array([ 6.00000000e+01, 8.01313671e+01, 9.80811882e+01, 1.11904322e+02, 1.20102816e+02, 1.21788239e+02, 1.16777946e+02, 1.05614882e+02, 8.95087384e+01, 7.02048646e+01, 4.97951354e+01, 3.04912616e+01, 1.43851175e+01, 3.22205375e+00, -1.78823857e+00, -1.02816488e-01, 8.09567835e+00, 2.19188118e+01, 3.98686329e+01, 6.00000000e+01]), array([ 60. , 80.45606656, 98.6954009 , 112.74148813, 121.07221675, 122.78482306, 117.69371958, 106.35060637, 89.98468576, 70.36945919, 49.63054081, 30.01531424, 13.64939363, 2.30628042, -2.78482306, -1.07221675, 7.25851187, 21.3045991 , 39.54393344, 60. ]), array([ 60. , 80.78076603, 99.30961361, 113.57865461, 122.04161702, 123.78140755, 118.60949291, 107.08633028, 90.46063315, 70.53405378, 49.46594622, 29.53936685, 12.91366972, 1.39050709, -3.78140755, -2.04161702, 6.42134539, 20.69038639, 39.21923397, 60. ]), array([ 60. , 81.1054655 , 99.92382632, 114.41582109, 123.01101729, 124.77799205, 119.52526623, 107.82205419, 90.93658055, 70.69864837, 49.30135163, 29.06341945, 12.17794581, 0.47473377, -4.77799205, -3.01101729, 5.58417891, 20.07617368, 38.8945345 , 60. ]), array([ 60. , 81.43016497, 100.53803904, 115.25298757, 123.98041755, 125.77457654, 120.44103956, 108.5577781 , 91.41252794, 70.86324296, 49.13675704, 28.58747206, 11.4422219 , -0.44103956, -5.77457654, -3.98041755, 4.74701243, 19.46196096, 38.56983503, 60. ]), array([ 60. , 81.75486444, 101.15225175, 116.09015404, 124.94981782, 126.77116103, 121.35681289, 109.29350202, 91.88847533, 71.02783755, 48.97216245, 28.11152467, 10.70649798, -1.35681289, -6.77116103, -4.94981782, 3.90984596, 18.84774825, 38.24513556, 60. ]), array([ 60. , 82.07956391, 101.76646446, 116.92732052, 125.91921808, 127.76774552, 122.27258621, 110.02922593, 92.36442273, 71.19243214, 48.80756786, 27.63557727, 9.97077407, -2.27258621, -7.76774552, -5.91921808, 3.07267948, 18.23353554, 37.92043609, 60. ]), array([ 60. , 82.40426338, 102.38067718, 117.764487 , 126.88861835, 128.76433002, 123.18835954, 110.76494984, 92.84037012, 71.35702673, 48.64297327, 27.15962988, 9.23505016, -3.18835954, -8.76433002, -6.88861835, 2.235513 , 17.61932282, 37.59573662, 60. ]), array([ 60. , 82.72896284, 102.99488989, 118.60165348, 127.85801862, 129.76091451, 124.10413287, 111.50067375, 93.31631751, 71.52162132, 48.47837868, 26.68368249, 8.49932625, -4.10413287, -9.76091451, -7.85801862, 1.39834652, 17.00511011, 37.27103716, 60. ]), array([ 60. , 83.05366231, 103.6091026 , 119.43881996, 128.82741888, 130.757499 , 125.01990619, 112.23639766, 93.79226491, 71.68621591, 48.31378409, 26.20773509, 7.76360234, -5.01990619, -10.757499 , -8.82741888, 0.56118004, 16.3908974 , 36.94633769, 60. ]), array([ 60. , 83.37836178, 104.22331531, 120.27598643, 129.79681915, 131.7540835 , 125.93567952, 112.97212157, 94.2682123 , 71.8508105 , 48.1491895 , 25.7317877 , 7.02787843, -5.93567952, -11.7540835 , -9.79681915, -0.27598643, 15.77668469, 36.62163822, 60. ]), array([ 60. , 83.70306125, 104.83752803, 121.11315291, 130.76621941, 132.75066799, 126.85145285, 113.70784548, 94.74415969, 72.01540509, 47.98459491, 25.25584031, 6.29215452, -6.85145285, -12.75066799, -10.76621941, -1.11315291, 15.16247197, 36.29693875, 60. ]), array([ 60. , 84.02776072, 105.45174074, 121.95031939, 131.73561968, 133.74725248, 127.76722617, 114.44356939, 95.22010708, 72.17999968, 47.82000032, 24.77989292, 5.55643061, -7.76722617, -13.74725248, -11.73561968, -1.95031939, 14.54825926, 35.97223928, 60. ]), array([ 60. , 84.35246019, 106.06595345, 122.78748587, 132.70501995, 134.74383698, 128.6829995 , 115.1792933 , 95.69605448, 72.34459427, 47.65540573, 24.30394552, 4.8207067 , -8.6829995 , -14.74383698, -12.70501995, -2.78748587, 13.93404655, 35.64753981, 60. ]), array([ 60. , 84.67715966, 106.68016616, 123.62465235, 133.67442021, 135.74042147, 129.59877283, 115.91501721, 96.17200187, 72.50918886, 47.49081114, 23.82799813, 4.08498279, -9.59877283, -15.74042147, -13.67442021, -3.62465235, 13.31983384, 35.32284034, 60. ]), array([ 60. , 85.00185913, 107.29437888, 124.46181883, 134.64382048, 136.73700596, 130.51454615, 116.65074112, 96.64794926, 72.67378345, 47.32621655, 23.35205074, 3.34925888, -10.51454615, -16.73700596, -14.64382048, -4.46181883, 12.70562112, 34.99814087, 60. ]), array([ 60. , 85.3265586 , 107.90859159, 125.2989853 , 135.61322074, 137.73359045, 131.43031948, 117.38646503, 97.12389666, 72.83837804, 47.16162196, 22.87610334, 2.61353497, -11.43031948, -17.73359045, -15.61322074, -5.2989853 , 12.09140841, 34.6734414 , 60. ]), array([ 60. , 85.65125807, 108.5228043 , 126.13615178, 136.58262101, 138.73017495, 132.34609281, 118.12218894, 97.59984405, 73.00297263, 46.99702737, 22.40015595, 1.87781106, -12.34609281, -18.73017495, -16.58262101, -6.13615178, 11.4771957 , 34.34874193, 60. ]), array([ 60. , 85.97595754, 109.13701702, 126.97331826, 137.55202128, 139.72675944, 133.26186613, 118.85791285, 98.07579144, 73.16756722, 46.83243278, 21.92420856, 1.14208715, -13.26186613, -19.72675944, -17.55202128, -6.97331826, 10.86298298, 34.02404246, 60. ]), array([ 60. , 86.30065701, 109.75122973, 127.81048474, 138.52142154, 140.72334393, 134.17763946, 119.59363676, 98.55173884, 73.33216181, 46.66783819, 21.44826116, 0.40636324, -14.17763946, -20.72334393, -18.52142154, -7.81048474, 10.24877027, 33.69934299, 60. ]), array([ 60. , 86.62535647, 110.36544244, 128.64765122, 139.49082181, 141.71992843, 135.09341279, 120.32936068, 99.02768623, 73.4967564 , 46.5032436 , 20.97231377, -0.32936068, -15.09341279, -21.71992843, -19.49082181, -8.64765122, 9.63455756, 33.37464353, 60. ]), array([ 60. , 86.95005594, 110.97965515, 129.4848177 , 140.46022207, 142.71651292, 136.00918611, 121.06508459, 99.50363362, 73.66135099, 46.33864901, 20.49636638, -1.06508459, -16.00918611, -22.71651292, -20.46022207, -9.4848177 , 9.02034485, 33.04994406, 60. ]), array([ 60. , 87.27475541, 111.59386787, 130.32198417, 141.42962234, 143.71309741, 136.92495944, 121.8008085 , 99.97958102, 73.82594558, 46.17405442, 20.02041898, -1.8008085 , -16.92495944, -23.71309741, -21.42962234, -10.32198417, 8.40613213, 32.72524459, 60. ]), array([ 60. , 87.59945488, 112.20808058, 131.15915065, 142.3990226 , 144.70968191, 137.84073277, 122.53653241, 100.45552841, 73.99054017, 46.00945983, 19.54447159, -2.53653241, -17.84073277, -24.70968191, -22.3990226 , -11.15915065, 7.79191942, 32.40054512, 60. ]), array([ 60. , 87.92415435, 112.82229329, 131.99631713, 143.36842287, 145.7062664 , 138.75650609, 123.27225632, 100.9314758 , 74.15513476, 45.84486524, 19.0685242 , -3.27225632, -18.75650609, -25.7062664 , -23.36842287, -11.99631713, 7.17770671, 32.07584565, 60. ]), array([ 60. , 88.24885382, 113.436506 , 132.83348361, 144.33782314, 146.70285089, 139.67227942, 124.00798023, 101.40742319, 74.31972935, 45.68027065, 18.59257681, -4.00798023, -19.67227942, -26.70285089, -24.33782314, -12.83348361, 6.563494 , 31.75114618, 60. ]), array([ 60. , 88.57355329, 114.05071872, 133.67065009, 145.3072234 , 147.69943538, 140.58805275, 124.74370414, 101.88337059, 74.48432394, 45.51567606, 18.11662941, -4.74370414, -20.58805275, -27.69943538, -25.3072234 , -13.67065009, 5.94928128, 31.42644671, 60. ]), array([ 60. , 88.89825276, 114.66493143, 134.50781657, 146.27662367, 148.69601988, 141.50382607, 125.47942805, 102.35931798, 74.64891853, 45.35108147, 17.64068202, -5.47942805, -21.50382607, -28.69601988, -26.27662367, -14.50781657, 5.33506857, 31.10174724, 60. ]), array([ 60. , 89.22295223, 115.27914414, 135.34498304, 147.24602393, 149.69260437, 142.4195994 , 126.21515196, 102.83526537, 74.81351313, 45.18648687, 17.16473463, -6.21515196, -22.4195994 , -29.69260437, -27.24602393, -15.34498304, 4.72085586, 30.77704777, 60. ]), array([ 60. , 89.5476517 , 115.89335685, 136.18214952, 148.2154242 , 150.68918886, 143.33537273, 126.95087587, 103.31121277, 74.97810772, 45.02189228, 16.68878723, -6.95087587, -23.33537273, -30.68918886, -28.2154242 , -16.18214952, 4.10664315, 30.4523483 , 60. ]), array([ 60. , 89.87235117, 116.50756957, 137.019316 , 149.18482447, 151.68577336, 144.25114605, 127.68659978, 103.78716016, 75.14270231, 44.85729769, 16.21283984, -7.68659978, -24.25114605, -31.68577336, -29.18482447, -17.019316 , 3.49243043, 30.12764883, 60. ]), array([ 60. , 90.19705064, 117.12178228, 137.85648248, 150.15422473, 152.68235785, 145.16691938, 128.42232369, 104.26310755, 75.3072969 , 44.6927031 , 15.73689245, -8.42232369, -25.16691938, -32.68235785, -30.15422473, -17.85648248, 2.87821772, 29.80294936, 60. ]), array([ 60. , 90.52175011, 117.73599499, 138.69364896, 151.123625 , 153.67894234, 146.08269271, 129.1580476 , 104.73905495, 75.47189149, 44.52810851, 15.26094505, -9.1580476 , -26.08269271, -33.67894234, -31.123625 , -18.69364896, 2.26400501, 29.47824989, 60. ]), array([ 60. , 90.84644957, 118.35020771, 139.53081543, 152.09302526, 154.67552684, 146.99846603, 129.89377151, 105.21500234, 75.63648608, 44.36351392, 14.78499766, -9.89377151, -26.99846603, -34.67552684, -32.09302526, -19.53081543, 1.64979229, 29.15355043, 60. ]), array([ 60. , 91.17114904, 118.96442042, 140.36798191, 153.06242553, 155.67211133, 147.91423936, 130.62949542, 105.69094973, 75.80108067, 44.19891933, 14.30905027, -10.62949542, -27.91423936, -35.67211133, -33.06242553, -20.36798191, 1.03557958, 28.82885096, 60. ]), array([ 60. , 91.49584851, 119.57863313, 141.20514839, 154.0318258 , 156.66869582, 148.83001269, 131.36521934, 106.16689712, 75.96567526, 44.03432474, 13.83310288, -11.36521934, -28.83001269, -36.66869582, -34.0318258 , -21.20514839, 0.42136687, 28.50415149, 60. ]), array([ 60. , 91.82054798, 120.19284584, 142.04231487, 155.00122606, 157.66528031, 149.74578601, 132.10094325, 106.64284452, 76.13026985, 43.86973015, 13.35715548, -12.10094325, -29.74578601, -37.66528031, -35.00122606, -22.04231487, -0.19284584, 28.17945202, 60. ]), array([ 60. , 92.14524745, 120.80705856, 142.87948135, 155.97062633, 158.66186481, 150.66155934, 132.83666716, 107.11879191, 76.29486444, 43.70513556, 12.88120809, -12.83666716, -30.66155934, -38.66186481, -35.97062633, -22.87948135, -0.80705856, 27.85475255, 60. ]), array([ 60. , 92.46994692, 121.42127127, 143.71664783, 156.94002659, 159.6584493 , 151.57733267, 133.57239107, 107.5947393 , 76.45945903, 43.54054097, 12.4052607 , -13.57239107, -31.57733267, -39.6584493 , -36.94002659, -23.71664783, -1.42127127, 27.53005308, 60. ]), array([ 60. , 92.79464639, 122.03548398, 144.5538143 , 157.90942686, 160.65503379, 152.49310599, 134.30811498, 108.0706867 , 76.62405362, 43.37594638, 11.9293133 , -14.30811498, -32.49310599, -40.65503379, -37.90942686, -24.5538143 , -2.03548398, 27.20535361, 60. ]), array([ 60. , 93.11934586, 122.64969669, 145.39098078, 158.87882713, 161.65161829, 153.40887932, 135.04383889, 108.54663409, 76.78864821, 43.21135179, 11.45336591, -15.04383889, -33.40887932, -41.65161829, -38.87882713, -25.39098078, -2.64969669, 26.88065414, 60. ]), array([ 60. , 93.44404533, 123.26390941, 146.22814726, 159.84822739, 162.64820278, 154.32465265, 135.7795628 , 109.02258148, 76.9532428 , 43.0467572 , 10.97741852, -15.7795628 , -34.32465265, -42.64820278, -39.84822739, -26.22814726, -3.26390941, 26.55595467, 60. ]), array([ 60. , 93.7687448 , 123.87812212, 147.06531374, 160.81762766, 163.64478727, 155.24042597, 136.51528671, 109.49852888, 77.11783739, 42.88216261, 10.50147112, -16.51528671, -35.24042597, -43.64478727, -40.81762766, -27.06531374, -3.87812212, 26.2312552 , 60. ]), array([ 60. , 94.09344427, 124.49233483, 147.90248022, 161.78702792, 164.64137177, 156.1561993 , 137.25101062, 109.97447627, 77.28243198, 42.71756802, 10.02552373, -17.25101062, -36.1561993 , -44.64137177, -41.78702792, -27.90248022, -4.49233483, 25.90655573, 60. ]), array([ 60. , 94.41814374, 125.10654755, 148.7396467 , 162.75642819, 165.63795626, 157.07197263, 137.98673453, 110.45042366, 77.44702657, 42.55297343, 9.54957634, -17.98673453, -37.07197263, -45.63795626, -42.75642819, -28.7396467 , -5.10654755, 25.58185626, 60. ]), array([ 60. , 94.7428432 , 125.72076026, 149.57681317, 163.72582846, 166.63454075, 157.98774595, 138.72245844, 110.92637105, 77.61162116, 42.38837884, 9.07362895, -18.72245844, -37.98774595, -46.63454075, -43.72582846, -29.57681317, -5.72076026, 25.2571568 , 60. ]), array([ 60. , 95.06754267, 126.33497297, 150.41397965, 164.69522872, 167.63112524, 158.90351928, 139.45818235, 111.40231845, 77.77621575, 42.22378425, 8.59768155, -19.45818235, -38.90351928, -47.63112524, -44.69522872, -30.41397965, -6.33497297, 24.93245733, 60. ]), array([ 60. , 95.39224214, 126.94918568, 151.25114613, 165.66462899, 168.62770974, 159.81929261, 140.19390626, 111.87826584, 77.94081034, 42.05918966, 8.12173416, -20.19390626, -39.81929261, -48.62770974, -45.66462899, -31.25114613, -6.94918568, 24.60775786, 60. ]), array([ 60. , 95.71694161, 127.5633984 , 152.08831261, 166.63402925, 169.62429423, 160.73506593, 140.92963017, 112.35421323, 78.10540493, 41.89459507, 7.64578677, -20.92963017, -40.73506593, -49.62429423, -46.63402925, -32.08831261, -7.5633984 , 24.28305839, 60. ]), array([ 60. , 96.04164108, 128.17761111, 152.92547909, 167.60342952, 170.62087872, 161.65083926, 141.66535408, 112.83016063, 78.26999952, 41.73000048, 7.16983937, -21.66535408, -41.65083926, -50.62087872, -47.60342952, -32.92547909, -8.17761111, 23.95835892, 60. ]), array([ 60. , 96.36634055, 128.79182382, 153.76264557, 168.57282979, 171.61746322, 162.56661259, 142.401078 , 113.30610802, 78.43459411, 41.56540589, 6.69389198, -22.401078 , -42.56661259, -51.61746322, -48.57282979, -33.76264557, -8.79182382, 23.63365945, 60. ]), array([ 60. , 96.69104002, 129.40603653, 154.59981204, 169.54223005, 172.61404771, 163.48238591, 143.13680191, 113.78205541, 78.5991887 , 41.4008113 , 6.21794459, -23.13680191, -43.48238591, -52.61404771, -49.54223005, -34.59981204, -9.40603653, 23.30895998, 60. ]), array([ 60. , 97.01573949, 130.02024925, 155.43697852, 170.51163032, 173.6106322 , 164.39815924, 143.87252582, 114.25800281, 78.76378329, 41.23621671, 5.74199719, -23.87252582, -44.39815924, -53.6106322 , -50.51163032, -35.43697852, -10.02024925, 22.98426051, 60. ]), array([ 60. , 97.34043896, 130.63446196, 156.274145 , 171.48103058, 174.6072167 , 165.31393257, 144.60824973, 114.7339502 , 78.92837788, 41.07162212, 5.2660498 , -24.60824973, -45.31393257, -54.6072167 , -51.48103058, -36.274145 , -10.63446196, 22.65956104, 60. ]), array([ 60. , 97.66513843, 131.24867467, 157.11131148, 172.45043085, 175.60380119, 166.22970589, 145.34397364, 115.20989759, 79.09297247, 40.90702753, 4.79010241, -25.34397364, -46.22970589, -55.60380119, -52.45043085, -37.11131148, -11.24867467, 22.33486157, 60. ]), array([ 60. , 97.9898379 , 131.86288738, 157.94847796, 173.41983111, 176.60038568, 167.14547922, 146.07969755, 115.68584499, 79.25756706, 40.74243294, 4.31415501, -26.07969755, -47.14547922, -56.60038568, -53.41983111, -37.94847796, -11.86288738, 22.0101621 , 60. ]), array([ 60. , 98.31453737, 132.4771001 , 158.78564443, 174.38923138, 177.59697017, 168.06125255, 146.81542146, 116.16179238, 79.42216165, 40.57783835, 3.83820762, -26.81542146, -48.06125255, -57.59697017, -54.38923138, -38.78564443, -12.4771001 , 21.68546263, 60. ]), array([ 60. , 98.63923684, 133.09131281, 159.62281091, 175.35863165, 178.59355467, 168.97702587, 147.55114537, 116.63773977, 79.58675624, 40.41324376, 3.36226023, -27.55114537, -48.97702587, -58.59355467, -55.35863165, -39.62281091, -13.09131281, 21.36076316, 60. ]), array([ 60. , 98.9639363 , 133.70552552, 160.45997739, 176.32803191, 179.59013916, 169.8927992 , 148.28686928, 117.11368716, 79.75135083, 40.24864917, 2.88631284, -28.28686928, -49.8927992 , -59.59013916, -56.32803191, -40.45997739, -13.70552552, 21.0360637 , 60. ]), array([ 60. , 99.28863577, 134.31973824, 161.29714387, 177.29743218, 180.58672365, 170.80857253, 149.02259319, 117.58963456, 79.91594542, 40.08405458, 2.41036544, -29.02259319, -50.80857253, -60.58672365, -57.29743218, -41.29714387, -14.31973824, 20.71136423, 60. ]), array([ 60. , 99.61333524, 134.93395095, 162.13431035, 178.26683244, 181.58330815, 171.72434585, 149.7583171 , 118.06558195, 80.08054001, 39.91945999, 1.93441805, -29.7583171 , -51.72434585, -61.58330815, -58.26683244, -42.13431035, -14.93395095, 20.38666476, 60. ]), array([ 60. , 99.93803471, 135.54816366, 162.97147683, 179.23623271, 182.57989264, 172.64011918, 150.49404101, 118.54152934, 80.2451346 , 39.7548654 , 1.45847066, -30.49404101, -52.64011918, -62.57989264, -59.23623271, -42.97147683, -15.54816366, 20.06196529, 60. ]), array([ 60. , 100.26273418, 136.16237637, 163.8086433 , 180.20563298, 183.57647713, 173.55589251, 151.22976492, 119.01747674, 80.40972919, 39.59027081, 0.98252326, -31.22976492, -53.55589251, -63.57647713, -60.20563298, -43.8086433 , -16.16237637, 19.73726582, 60. ]), array([ 60. , 100.58743365, 136.77658909, 164.64580978, 181.17503324, 184.57306163, 174.47166583, 151.96548883, 119.49342413, 80.57432379, 39.42567621, 0.50657587, -31.96548883, -54.47166583, -64.57306163, -61.17503324, -44.64580978, -16.77658909, 19.41256635, 60. ]), array([ 6.00000000e+01, 1.00912133e+02, 1.37390802e+02, 1.65482976e+02, 1.82144434e+02, 1.85569646e+02, 1.75387439e+02, 1.52701213e+02, 1.19969372e+02, 8.07389184e+01, 3.92610816e+01, 3.06284773e-02, -3.27012127e+01, -5.53874392e+01, -6.55696461e+01, -6.21444335e+01, -4.54829763e+01, -1.73908018e+01, 1.90878669e+01, 6.00000000e+01]), array([ 60. , 101.23683259, 138.00501451, 166.32014274, 183.11383377, 186.56623061, 176.30321249, 153.43693666, 120.44531892, 80.90351297, 39.09648703, -0.44531892, -33.43693666, -56.30321249, -66.56623061, -63.11383377, -46.32014274, -18.00501451, 18.76316741, 60. ]), array([ 60. , 101.56153206, 138.61922722, 167.15730922, 184.08323404, 187.5628151 , 177.21898581, 154.17266057, 120.92126631, 81.06810756, 38.93189244, -0.92126631, -34.17266057, -57.21898581, -67.5628151 , -64.08323404, -47.15730922, -18.61922722, 18.43846794, 60. ]), array([ 60. , 101.88623153, 139.23343994, 167.9944757 , 185.05263431, 188.5593996 , 178.13475914, 154.90838448, 121.3972137 , 81.23270215, 38.76729785, -1.3972137 , -34.90838448, -58.13475914, -68.5593996 , -65.05263431, -47.9944757 , -19.23343994, 18.11376847, 60. ]), array([ 60. , 102.210931 , 139.84765265, 168.83164217, 186.02203457, 189.55598409, 179.05053247, 155.64410839, 121.87316109, 81.39729674, 38.60270326, -1.87316109, -35.64410839, -59.05053247, -69.55598409, -66.02203457, -48.83164217, -19.84765265, 17.789069 , 60. ]), array([ 60. , 102.53563047, 140.46186536, 169.66880865, 186.99143484, 190.55256858, 179.96630579, 156.3798323 , 122.34910849, 81.56189133, 38.43810867, -2.34910849, -36.3798323 , -59.96630579, -70.55256858, -66.99143484, -49.66880865, -20.46186536, 17.46436953, 60. ]), array([ 60. , 102.86032994, 141.07607808, 170.50597513, 187.9608351 , 191.54915308, 180.88207912, 157.11555621, 122.82505588, 81.72648592, 38.27351408, -2.82505588, -37.11555621, -60.88207912, -71.54915308, -67.9608351 , -50.50597513, -21.07607808, 17.13967006, 60. ]), array([ 60. , 103.1850294 , 141.69029079, 171.34314161, 188.93023537, 192.54573757, 181.79785245, 157.85128012, 123.30100327, 81.89108051, 38.10891949, -3.30100327, -37.85128012, -61.79785245, -72.54573757, -68.93023537, -51.34314161, -21.69029079, 16.8149706 , 60. ]), array([ 60. , 103.50972887, 142.3045035 , 172.18030809, 189.89963564, 193.54232206, 182.71362577, 158.58700403, 123.77695067, 82.0556751 , 37.9443249 , -3.77695067, -38.58700403, -62.71362577, -73.54232206, -69.89963564, -52.18030809, -22.3045035 , 16.49027113, 60. ]), array([ 60. , 103.83442834, 142.91871621, 173.01747457, 190.8690359 , 194.53890656, 183.6293991 , 159.32272794, 124.25289806, 82.22026969, 37.77973031, -4.25289806, -39.32272794, -63.6293991 , -74.53890656, -70.8690359 , -53.01747457, -22.91871621, 16.16557166, 60. ]), array([ 60. , 104.15912781, 143.53292893, 173.85464104, 191.83843617, 195.53549105, 184.54517243, 160.05845185, 124.72884545, 82.38486428, 37.61513572, -4.72884545, -40.05845185, -64.54517243, -75.53549105, -71.83843617, -53.85464104, -23.53292893, 15.84087219, 60. ]), array([ 60. , 104.48382728, 144.14714164, 174.69180752, 192.80783643, 196.53207554, 185.46094575, 160.79417576, 125.20479285, 82.54945887, 37.45054113, -5.20479285, -40.79417576, -65.46094575, -76.53207554, -72.80783643, -54.69180752, -24.14714164, 15.51617272, 60. ]), array([ 60. , 104.80852675, 144.76135435, 175.528974 , 193.7772367 , 197.52866003, 186.37671908, 161.52989967, 125.68074024, 82.71405346, 37.28594654, -5.68074024, -41.52989967, -66.37671908, -77.52866003, -73.7772367 , -55.528974 , -24.76135435, 15.19147325, 60. ]), array([ 60. , 105.13322622, 145.37556706, 176.36614048, 194.74663697, 198.52524453, 187.29249241, 162.26562358, 126.15668763, 82.87864805, 37.12135195, -6.15668763, -42.26562358, -67.29249241, -78.52524453, -74.74663697, -56.36614048, -25.37556706, 14.86677378, 60. ]), array([ 60. , 105.45792569, 145.98977978, 177.20330696, 195.71603723, 199.52182902, 188.20826573, 163.00134749, 126.63263503, 83.04324264, 36.95675736, -6.63263503, -43.00134749, -68.20826573, -79.52182902, -75.71603723, -57.20330696, -25.98977978, 14.54207431, 60. ]), array([ 60. , 105.78262516, 146.60399249, 178.04047344, 196.6854375 , 200.51841351, 189.12403906, 163.7370714 , 127.10858242, 83.20783723, 36.79216277, -7.10858242, -43.7370714 , -69.12403906, -80.51841351, -76.6854375 , -58.04047344, -26.60399249, 14.21737484, 60. ]), array([ 60. , 106.10732463, 147.2182052 , 178.87763991, 197.65483776, 201.51499801, 190.03981239, 164.47279532, 127.58452981, 83.37243182, 36.62756818, -7.58452981, -44.47279532, -70.03981239, -81.51499801, -77.65483776, -58.87763991, -27.2182052 , 13.89267537, 60. ]), array([ 60. , 106.4320241 , 147.83241791, 179.71480639, 198.62423803, 202.5115825 , 190.95558571, 165.20851923, 128.0604772 , 83.53702641, 36.46297359, -8.0604772 , -45.20851923, -70.95558571, -82.5115825 , -78.62423803, -59.71480639, -27.83241791, 13.5679759 , 60. ]), array([ 60. , 106.75672357, 148.44663063, 180.55197287, 199.5936383 , 203.50816699, 191.87135904, 165.94424314, 128.5364246 , 83.701621 , 36.298379 , -8.5364246 , -45.94424314, -71.87135904, -83.50816699, -79.5936383 , -60.55197287, -28.44663063, 13.24327643, 60. ]), array([ 60. , 107.08142303, 149.06084334, 181.38913935, 200.56303856, 204.50475149, 192.78713236, 166.67996705, 129.01237199, 83.86621559, 36.13378441, -9.01237199, -46.67996705, -72.78713236, -84.50475149, -80.56303856, -61.38913935, -29.06084334, 12.91857697, 60. ]), array([ 60. , 107.4061225 , 149.67505605, 182.22630583, 201.53243883, 205.50133598, 193.70290569, 167.41569096, 129.48831938, 84.03081018, 35.96918982, -9.48831938, -47.41569096, -73.70290569, -85.50133598, -81.53243883, -62.22630583, -29.67505605, 12.5938775 , 60. ]), array([ 60. , 107.73082197, 150.28926877, 183.0634723 , 202.50183909, 206.49792047, 194.61867902, 168.15141487, 129.96426678, 84.19540477, 35.80459523, -9.96426678, -48.15141487, -74.61867902, -86.49792047, -82.50183909, -63.0634723 , -30.28926877, 12.26917803, 60. ]), array([ 60. , 108.05552144, 150.90348148, 183.90063878, 203.47123936, 207.49450496, 195.53445234, 168.88713878, 130.44021417, 84.35999936, 35.64000064, -10.44021417, -48.88713878, -75.53445234, -87.49450496, -83.47123936, -63.90063878, -30.90348148, 11.94447856, 60. ]), array([ 60. , 108.38022091, 151.51769419, 184.73780526, 204.44063962, 208.49108946, 196.45022567, 169.62286269, 130.91616156, 84.52459395, 35.47540605, -10.91616156, -49.62286269, -76.45022567, -88.49108946, -84.44063962, -64.73780526, -31.51769419, 11.61977909, 60. ]), array([ 60. , 108.70492038, 152.1319069 , 185.57497174, 205.41003989, 209.48767395, 197.365999 , 170.3585866 , 131.39210896, 84.68918854, 35.31081146, -11.39210896, -50.3585866 , -77.365999 , -89.48767395, -85.41003989, -65.57497174, -32.1319069 , 11.29507962, 60. ])]