Properties

Label 354.3.f.a.13.19
Level $354$
Weight $3$
Character 354.13
Analytic conductor $9.646$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [354,3,Mod(13,354)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(354, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([0, 45]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("354.13");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 354.f (of order \(58\), degree \(28\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(9.64580135835\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 13.19
Character \(\chi\) \(=\) 354.13
Dual form 354.3.f.a.109.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.07786 - 0.915542i) q^{2} +(1.37887 - 1.04819i) q^{3} +(0.323564 - 1.97365i) q^{4} +(2.48920 - 4.69513i) q^{5} +(0.526568 - 2.39222i) q^{6} +(-5.51808 + 0.600128i) q^{7} +(-1.45821 - 2.42356i) q^{8} +(0.802585 - 2.89065i) q^{9} +O(q^{10})\) \(q+(1.07786 - 0.915542i) q^{2} +(1.37887 - 1.04819i) q^{3} +(0.323564 - 1.97365i) q^{4} +(2.48920 - 4.69513i) q^{5} +(0.526568 - 2.39222i) q^{6} +(-5.51808 + 0.600128i) q^{7} +(-1.45821 - 2.42356i) q^{8} +(0.802585 - 2.89065i) q^{9} +(-1.61558 - 7.33966i) q^{10} +(-1.92458 - 5.71196i) q^{11} +(-1.62261 - 3.06058i) q^{12} +(9.48709 - 2.63408i) q^{13} +(-5.39828 + 5.69889i) q^{14} +(-1.48911 - 9.08315i) q^{15} +(-3.79061 - 1.27721i) q^{16} +(-18.6013 - 2.02302i) q^{17} +(-1.78144 - 3.85052i) q^{18} +(0.476407 + 8.78680i) q^{19} +(-8.46114 - 6.43199i) q^{20} +(-6.97969 + 6.61151i) q^{21} +(-7.30397 - 4.39465i) q^{22} +(13.3791 - 28.9184i) q^{23} +(-4.55104 - 1.81330i) q^{24} +(-1.81846 - 2.68203i) q^{25} +(7.81414 - 11.5250i) q^{26} +(-1.92329 - 4.82710i) q^{27} +(-0.601009 + 11.0850i) q^{28} +(-8.47397 + 9.97633i) q^{29} +(-9.92106 - 8.42703i) q^{30} +(36.5550 + 1.98195i) q^{31} +(-5.25509 + 2.09382i) q^{32} +(-8.64099 - 5.85874i) q^{33} +(-21.9018 + 14.8498i) q^{34} +(-10.9179 + 27.4020i) q^{35} +(-5.44545 - 2.51933i) q^{36} +(-37.2299 + 61.8766i) q^{37} +(8.55819 + 9.03477i) q^{38} +(10.3205 - 13.5764i) q^{39} +(-15.0087 + 0.813748i) q^{40} +(40.5283 - 18.7504i) q^{41} +(-1.47001 + 13.5165i) q^{42} +(24.9670 - 74.0993i) q^{43} +(-11.8961 + 1.95027i) q^{44} +(-11.5742 - 10.9637i) q^{45} +(-12.0552 - 43.4191i) q^{46} +(16.4866 - 8.74063i) q^{47} +(-6.56553 + 2.21219i) q^{48} +(-17.7653 + 3.91045i) q^{49} +(-4.41555 - 1.22597i) q^{50} +(-27.7694 + 16.7083i) q^{51} +(-2.12907 - 19.5765i) q^{52} +(13.5390 + 2.98015i) q^{53} +(-6.49246 - 3.44209i) q^{54} +(-31.6091 - 5.18204i) q^{55} +(9.50095 + 12.4983i) q^{56} +(9.86717 + 11.6165i) q^{57} +18.5114i q^{58} +(53.7399 + 24.3522i) q^{59} -18.4088 q^{60} +(28.4158 - 24.1366i) q^{61} +(41.2157 - 31.3314i) q^{62} +(-2.69397 + 16.4325i) q^{63} +(-3.74727 + 7.06810i) q^{64} +(11.2479 - 51.0999i) q^{65} +(-14.6777 + 1.59630i) q^{66} +(-33.3193 - 55.3771i) q^{67} +(-10.0115 + 36.0580i) q^{68} +(-11.8640 - 53.8986i) q^{69} +(13.3196 + 39.5313i) q^{70} +(18.7865 + 35.4352i) q^{71} +(-8.17599 + 2.27005i) q^{72} +(-40.0153 + 42.2436i) q^{73} +(16.5220 + 100.780i) q^{74} +(-5.31871 - 1.79208i) q^{75} +(17.4963 + 1.90283i) q^{76} +(14.0479 + 30.3641i) q^{77} +(-1.30570 - 24.0822i) q^{78} +(85.9036 + 65.3022i) q^{79} +(-15.4322 + 14.6182i) q^{80} +(-7.71171 - 4.63998i) q^{81} +(26.5171 - 57.3157i) q^{82} +(16.5782 + 6.60535i) q^{83} +(10.7905 + 15.9147i) q^{84} +(-55.8008 + 82.3000i) q^{85} +(-40.9302 - 102.727i) q^{86} +(-1.22742 + 22.6385i) q^{87} +(-11.0368 + 12.9936i) q^{88} +(34.3985 + 29.2184i) q^{89} +(-22.5130 - 1.22062i) q^{90} +(-50.7697 + 20.2285i) q^{91} +(-52.7459 - 35.7626i) q^{92} +(52.4822 - 35.5838i) q^{93} +(9.76780 - 24.5153i) q^{94} +(42.4411 + 19.6353i) q^{95} +(-5.05138 + 8.39545i) q^{96} +(93.4302 + 98.6331i) q^{97} +(-15.5684 + 20.4798i) q^{98} +(-18.0559 + 0.978963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560 q + 40 q^{4} - 8 q^{7} - 60 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 560 q + 40 q^{4} - 8 q^{7} - 60 q^{9} + 24 q^{15} - 80 q^{16} - 72 q^{19} - 16 q^{22} - 140 q^{25} - 64 q^{26} + 16 q^{28} - 56 q^{29} + 80 q^{35} + 120 q^{36} + 8 q^{41} + 1376 q^{46} + 1276 q^{47} + 2036 q^{49} + 1856 q^{50} + 696 q^{52} + 1128 q^{53} + 1044 q^{55} + 48 q^{57} - 424 q^{59} - 48 q^{60} - 696 q^{61} - 448 q^{62} - 24 q^{63} + 160 q^{64} - 2436 q^{65} - 96 q^{66} - 2088 q^{67} - 1160 q^{68} - 2784 q^{70} - 2448 q^{71} - 1740 q^{73} - 1568 q^{74} + 96 q^{75} + 144 q^{76} - 192 q^{78} - 528 q^{79} - 180 q^{81} - 568 q^{85} + 416 q^{86} + 216 q^{87} + 32 q^{88} + 480 q^{94} + 456 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{45}{58}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07786 0.915542i 0.538930 0.457771i
\(3\) 1.37887 1.04819i 0.459625 0.349397i
\(4\) 0.323564 1.97365i 0.0808910 0.493413i
\(5\) 2.48920 4.69513i 0.497840 0.939026i −0.499512 0.866307i \(-0.666487\pi\)
0.997352 0.0727194i \(-0.0231678\pi\)
\(6\) 0.526568 2.39222i 0.0877613 0.398704i
\(7\) −5.51808 + 0.600128i −0.788297 + 0.0857325i −0.493407 0.869799i \(-0.664249\pi\)
−0.294890 + 0.955531i \(0.595283\pi\)
\(8\) −1.45821 2.42356i −0.182276 0.302945i
\(9\) 0.802585 2.89065i 0.0891761 0.321183i
\(10\) −1.61558 7.33966i −0.161558 0.733966i
\(11\) −1.92458 5.71196i −0.174962 0.519269i 0.823912 0.566718i \(-0.191787\pi\)
−0.998874 + 0.0474495i \(0.984891\pi\)
\(12\) −1.62261 3.06058i −0.135218 0.255048i
\(13\) 9.48709 2.63408i 0.729776 0.202621i 0.117284 0.993098i \(-0.462581\pi\)
0.612492 + 0.790477i \(0.290167\pi\)
\(14\) −5.39828 + 5.69889i −0.385591 + 0.407064i
\(15\) −1.48911 9.08315i −0.0992738 0.605544i
\(16\) −3.79061 1.27721i −0.236913 0.0798254i
\(17\) −18.6013 2.02302i −1.09420 0.119001i −0.456824 0.889557i \(-0.651013\pi\)
−0.637372 + 0.770556i \(0.719978\pi\)
\(18\) −1.78144 3.85052i −0.0989688 0.213918i
\(19\) 0.476407 + 8.78680i 0.0250740 + 0.462463i 0.983928 + 0.178564i \(0.0571453\pi\)
−0.958854 + 0.283899i \(0.908372\pi\)
\(20\) −8.46114 6.43199i −0.423057 0.321600i
\(21\) −6.97969 + 6.61151i −0.332366 + 0.314834i
\(22\) −7.30397 4.39465i −0.331999 0.199757i
\(23\) 13.3791 28.9184i 0.581699 1.25732i −0.363734 0.931503i \(-0.618498\pi\)
0.945432 0.325818i \(-0.105640\pi\)
\(24\) −4.55104 1.81330i −0.189627 0.0755541i
\(25\) −1.81846 2.68203i −0.0727384 0.107281i
\(26\) 7.81414 11.5250i 0.300544 0.443269i
\(27\) −1.92329 4.82710i −0.0712331 0.178782i
\(28\) −0.601009 + 11.0850i −0.0214646 + 0.395891i
\(29\) −8.47397 + 9.97633i −0.292206 + 0.344011i −0.888602 0.458679i \(-0.848323\pi\)
0.596396 + 0.802690i \(0.296599\pi\)
\(30\) −9.92106 8.42703i −0.330702 0.280901i
\(31\) 36.5550 + 1.98195i 1.17919 + 0.0639340i 0.633290 0.773914i \(-0.281704\pi\)
0.545903 + 0.837848i \(0.316187\pi\)
\(32\) −5.25509 + 2.09382i −0.164221 + 0.0654318i
\(33\) −8.64099 5.85874i −0.261848 0.177537i
\(34\) −21.9018 + 14.8498i −0.644170 + 0.436758i
\(35\) −10.9179 + 27.4020i −0.311941 + 0.782913i
\(36\) −5.44545 2.51933i −0.151263 0.0699815i
\(37\) −37.2299 + 61.8766i −1.00621 + 1.67234i −0.315961 + 0.948772i \(0.602327\pi\)
−0.690253 + 0.723568i \(0.742501\pi\)
\(38\) 8.55819 + 9.03477i 0.225216 + 0.237757i
\(39\) 10.3205 13.5764i 0.264628 0.348112i
\(40\) −15.0087 + 0.813748i −0.375217 + 0.0203437i
\(41\) 40.5283 18.7504i 0.988496 0.457327i 0.142084 0.989855i \(-0.454620\pi\)
0.846413 + 0.532528i \(0.178758\pi\)
\(42\) −1.47001 + 13.5165i −0.0350001 + 0.321821i
\(43\) 24.9670 74.0993i 0.580627 1.72324i −0.104222 0.994554i \(-0.533235\pi\)
0.684849 0.728685i \(-0.259868\pi\)
\(44\) −11.8961 + 1.95027i −0.270367 + 0.0443244i
\(45\) −11.5742 10.9637i −0.257204 0.243637i
\(46\) −12.0552 43.4191i −0.262071 0.943893i
\(47\) 16.4866 8.74063i 0.350778 0.185971i −0.283697 0.958914i \(-0.591561\pi\)
0.634475 + 0.772943i \(0.281216\pi\)
\(48\) −6.56553 + 2.21219i −0.136782 + 0.0460872i
\(49\) −17.7653 + 3.91045i −0.362558 + 0.0798050i
\(50\) −4.41555 1.22597i −0.0883111 0.0245194i
\(51\) −27.7694 + 16.7083i −0.544498 + 0.327613i
\(52\) −2.12907 19.5765i −0.0409437 0.376471i
\(53\) 13.5390 + 2.98015i 0.255452 + 0.0562292i 0.340850 0.940118i \(-0.389285\pi\)
−0.0853981 + 0.996347i \(0.527216\pi\)
\(54\) −6.49246 3.44209i −0.120231 0.0637423i
\(55\) −31.6091 5.18204i −0.574710 0.0942190i
\(56\) 9.50095 + 12.4983i 0.169660 + 0.223184i
\(57\) 9.86717 + 11.6165i 0.173108 + 0.203799i
\(58\) 18.5114i 0.319162i
\(59\) 53.7399 + 24.3522i 0.910845 + 0.412749i
\(60\) −18.4088 −0.306814
\(61\) 28.4158 24.1366i 0.465833 0.395682i −0.383499 0.923541i \(-0.625281\pi\)
0.849332 + 0.527859i \(0.177005\pi\)
\(62\) 41.2157 31.3314i 0.664770 0.505345i
\(63\) −2.69397 + 16.4325i −0.0427614 + 0.260833i
\(64\) −3.74727 + 7.06810i −0.0585511 + 0.110439i
\(65\) 11.2479 51.0999i 0.173045 0.786152i
\(66\) −14.6777 + 1.59630i −0.222389 + 0.0241863i
\(67\) −33.3193 55.3771i −0.497303 0.826524i 0.501961 0.864890i \(-0.332612\pi\)
−0.999264 + 0.0383666i \(0.987785\pi\)
\(68\) −10.0115 + 36.0580i −0.147227 + 0.530265i
\(69\) −11.8640 53.8986i −0.171942 0.781140i
\(70\) 13.3196 + 39.5313i 0.190281 + 0.564733i
\(71\) 18.7865 + 35.4352i 0.264599 + 0.499087i 0.979838 0.199793i \(-0.0640270\pi\)
−0.715239 + 0.698880i \(0.753682\pi\)
\(72\) −8.17599 + 2.27005i −0.113555 + 0.0315285i
\(73\) −40.0153 + 42.2436i −0.548155 + 0.578680i −0.939924 0.341384i \(-0.889104\pi\)
0.391769 + 0.920063i \(0.371863\pi\)
\(74\) 16.5220 + 100.780i 0.223271 + 1.36189i
\(75\) −5.31871 1.79208i −0.0709161 0.0238944i
\(76\) 17.4963 + 1.90283i 0.230214 + 0.0250373i
\(77\) 14.0479 + 30.3641i 0.182440 + 0.394338i
\(78\) −1.30570 24.0822i −0.0167398 0.308747i
\(79\) 85.9036 + 65.3022i 1.08739 + 0.826610i 0.985751 0.168212i \(-0.0537992\pi\)
0.101636 + 0.994822i \(0.467592\pi\)
\(80\) −15.4322 + 14.6182i −0.192903 + 0.182728i
\(81\) −7.71171 4.63998i −0.0952064 0.0572838i
\(82\) 26.5171 57.3157i 0.323379 0.698972i
\(83\) 16.5782 + 6.60535i 0.199737 + 0.0795825i 0.467862 0.883802i \(-0.345025\pi\)
−0.268125 + 0.963384i \(0.586404\pi\)
\(84\) 10.7905 + 15.9147i 0.128458 + 0.189461i
\(85\) −55.8008 + 82.3000i −0.656480 + 0.968235i
\(86\) −40.9302 102.727i −0.475932 1.19450i
\(87\) −1.22742 + 22.6385i −0.0141083 + 0.260212i
\(88\) −11.0368 + 12.9936i −0.125418 + 0.147654i
\(89\) 34.3985 + 29.2184i 0.386500 + 0.328296i 0.819480 0.573107i \(-0.194262\pi\)
−0.432980 + 0.901403i \(0.642538\pi\)
\(90\) −22.5130 1.22062i −0.250145 0.0135625i
\(91\) −50.7697 + 20.2285i −0.557909 + 0.222291i
\(92\) −52.7459 35.7626i −0.573325 0.388724i
\(93\) 52.4822 35.5838i 0.564325 0.382622i
\(94\) 9.76780 24.5153i 0.103913 0.260801i
\(95\) 42.4411 + 19.6353i 0.446748 + 0.206688i
\(96\) −5.05138 + 8.39545i −0.0526185 + 0.0874526i
\(97\) 93.4302 + 98.6331i 0.963198 + 1.01684i 0.999847 + 0.0175078i \(0.00557318\pi\)
−0.0366485 + 0.999328i \(0.511668\pi\)
\(98\) −15.5684 + 20.4798i −0.158861 + 0.208978i
\(99\) −18.0559 + 0.978963i −0.182383 + 0.00988852i
\(100\) −5.88178 + 2.72120i −0.0588178 + 0.0272120i
\(101\) 4.43731 40.8004i 0.0439338 0.403965i −0.951436 0.307846i \(-0.900392\pi\)
0.995370 0.0961183i \(-0.0306427\pi\)
\(102\) −14.6344 + 43.4332i −0.143474 + 0.425816i
\(103\) −90.8710 + 14.8975i −0.882242 + 0.144636i −0.585840 0.810427i \(-0.699235\pi\)
−0.296402 + 0.955063i \(0.595787\pi\)
\(104\) −20.2180 19.1515i −0.194404 0.184149i
\(105\) 13.6681 + 49.2279i 0.130172 + 0.468837i
\(106\) 17.3215 9.18330i 0.163411 0.0866349i
\(107\) 137.727 46.4055i 1.28717 0.433696i 0.409210 0.912440i \(-0.365804\pi\)
0.877955 + 0.478744i \(0.158908\pi\)
\(108\) −10.1493 + 2.23404i −0.0939754 + 0.0206855i
\(109\) −35.7075 9.91414i −0.327592 0.0909554i 0.0998387 0.995004i \(-0.468167\pi\)
−0.427430 + 0.904048i \(0.640581\pi\)
\(110\) −38.8145 + 23.3539i −0.352859 + 0.212308i
\(111\) 13.5232 + 124.344i 0.121831 + 1.12022i
\(112\) 21.6834 + 4.77288i 0.193602 + 0.0426150i
\(113\) 124.419 + 65.9627i 1.10105 + 0.583740i 0.916884 0.399155i \(-0.130696\pi\)
0.184167 + 0.982895i \(0.441041\pi\)
\(114\) 21.2708 + 3.48718i 0.186586 + 0.0305893i
\(115\) −102.472 134.800i −0.891065 1.17218i
\(116\) 16.9479 + 19.9527i 0.146103 + 0.172006i
\(117\) 29.5379i 0.252461i
\(118\) 80.2195 22.9529i 0.679826 0.194516i
\(119\) 103.858 0.872754
\(120\) −19.8421 + 16.8541i −0.165351 + 0.140450i
\(121\) 67.4048 51.2398i 0.557065 0.423469i
\(122\) 8.53017 52.0317i 0.0699194 0.426490i
\(123\) 36.2294 68.3359i 0.294548 0.555577i
\(124\) 15.7396 71.5056i 0.126932 0.576658i
\(125\) 114.956 12.5023i 0.919651 0.100018i
\(126\) 12.1409 + 20.1784i 0.0963565 + 0.160146i
\(127\) −18.1492 + 65.3674i −0.142907 + 0.514704i −1.00000 0.000457785i \(-0.999854\pi\)
0.857093 + 0.515162i \(0.172268\pi\)
\(128\) 2.43211 + 11.0492i 0.0190009 + 0.0863219i
\(129\) −43.2440 128.344i −0.335225 0.994912i
\(130\) −34.6604 65.3765i −0.266619 0.502896i
\(131\) 59.8598 16.6200i 0.456945 0.126870i −0.0314261 0.999506i \(-0.510005\pi\)
0.488372 + 0.872636i \(0.337591\pi\)
\(132\) −14.3590 + 15.1586i −0.108780 + 0.114838i
\(133\) −7.90205 48.2004i −0.0594139 0.362409i
\(134\) −86.6136 29.1835i −0.646370 0.217787i
\(135\) −27.4514 2.98551i −0.203343 0.0221149i
\(136\) 22.2217 + 48.0314i 0.163395 + 0.353172i
\(137\) 11.3772 + 209.841i 0.0830455 + 1.53168i 0.682269 + 0.731102i \(0.260993\pi\)
−0.599223 + 0.800582i \(0.704524\pi\)
\(138\) −62.1342 47.2332i −0.450248 0.342270i
\(139\) −127.356 + 120.638i −0.916230 + 0.867899i −0.991611 0.129256i \(-0.958741\pi\)
0.0753814 + 0.997155i \(0.475983\pi\)
\(140\) 50.5493 + 30.4145i 0.361066 + 0.217246i
\(141\) 13.5710 29.3333i 0.0962485 0.208038i
\(142\) 52.6916 + 20.9943i 0.371068 + 0.147847i
\(143\) −33.3044 49.1203i −0.232898 0.343499i
\(144\) −6.73424 + 9.93227i −0.0467656 + 0.0689741i
\(145\) 25.7468 + 64.6195i 0.177564 + 0.445652i
\(146\) −4.45504 + 82.1684i −0.0305140 + 0.562797i
\(147\) −20.3973 + 24.0135i −0.138757 + 0.163357i
\(148\) 110.077 + 93.5000i 0.743761 + 0.631757i
\(149\) −158.784 8.60904i −1.06567 0.0577788i −0.487047 0.873376i \(-0.661926\pi\)
−0.578620 + 0.815597i \(0.696409\pi\)
\(150\) −7.37355 + 2.93789i −0.0491570 + 0.0195859i
\(151\) −75.2915 51.0489i −0.498619 0.338072i 0.285815 0.958285i \(-0.407736\pi\)
−0.784434 + 0.620213i \(0.787046\pi\)
\(152\) 20.6006 13.9676i 0.135530 0.0918919i
\(153\) −20.7770 + 52.1463i −0.135797 + 0.340825i
\(154\) 42.9413 + 19.8667i 0.278839 + 0.129005i
\(155\) 100.298 166.697i 0.647086 1.07546i
\(156\) −23.4557 24.7619i −0.150357 0.158730i
\(157\) 38.6217 50.8060i 0.245998 0.323605i −0.656478 0.754345i \(-0.727954\pi\)
0.902476 + 0.430740i \(0.141748\pi\)
\(158\) 152.379 8.26175i 0.964424 0.0522895i
\(159\) 21.7923 10.0822i 0.137058 0.0634099i
\(160\) −3.25022 + 29.8853i −0.0203139 + 0.186783i
\(161\) −56.4721 + 167.603i −0.350758 + 1.04101i
\(162\) −12.5603 + 2.05915i −0.0775324 + 0.0127108i
\(163\) 7.41876 + 7.02743i 0.0455139 + 0.0431130i 0.710118 0.704082i \(-0.248641\pi\)
−0.664605 + 0.747195i \(0.731400\pi\)
\(164\) −23.8933 86.0558i −0.145691 0.524731i
\(165\) −49.0167 + 25.9870i −0.297071 + 0.157497i
\(166\) 23.9164 8.05838i 0.144075 0.0485445i
\(167\) 37.4490 8.24315i 0.224245 0.0493602i −0.101426 0.994843i \(-0.532341\pi\)
0.325672 + 0.945483i \(0.394410\pi\)
\(168\) 26.2012 + 7.27473i 0.155960 + 0.0433020i
\(169\) −61.7424 + 37.1492i −0.365340 + 0.219818i
\(170\) 15.2037 + 139.796i 0.0894336 + 0.822328i
\(171\) 25.7819 + 5.67503i 0.150772 + 0.0331873i
\(172\) −138.168 73.2520i −0.803301 0.425883i
\(173\) −39.5962 6.49146i −0.228880 0.0375229i 0.0462507 0.998930i \(-0.485273\pi\)
−0.275130 + 0.961407i \(0.588721\pi\)
\(174\) 19.4035 + 25.5248i 0.111514 + 0.146694i
\(175\) 11.6440 + 13.7083i 0.0665369 + 0.0783333i
\(176\) 24.1099i 0.136988i
\(177\) 99.6262 22.7512i 0.562860 0.128538i
\(178\) 63.8275 0.358581
\(179\) 52.5001 44.5940i 0.293296 0.249128i −0.488641 0.872485i \(-0.662507\pi\)
0.781938 + 0.623356i \(0.214231\pi\)
\(180\) −25.3834 + 19.2960i −0.141019 + 0.107200i
\(181\) −4.93156 + 30.0812i −0.0272462 + 0.166194i −0.996945 0.0781102i \(-0.975111\pi\)
0.969699 + 0.244305i \(0.0785597\pi\)
\(182\) −36.2026 + 68.2854i −0.198915 + 0.375194i
\(183\) 13.8820 63.0665i 0.0758579 0.344626i
\(184\) −89.5948 + 9.74403i −0.486928 + 0.0529567i
\(185\) 197.846 + 328.823i 1.06944 + 1.77742i
\(186\) 23.9900 86.4040i 0.128978 0.464538i
\(187\) 24.2444 + 110.143i 0.129649 + 0.589002i
\(188\) −11.9165 35.3669i −0.0633857 0.188122i
\(189\) 13.5098 + 25.4821i 0.0714803 + 0.134826i
\(190\) 63.7225 17.6925i 0.335382 0.0931183i
\(191\) −108.567 + 114.613i −0.568415 + 0.600069i −0.945304 0.326190i \(-0.894235\pi\)
0.376889 + 0.926258i \(0.376994\pi\)
\(192\) 2.24172 + 13.6739i 0.0116756 + 0.0712181i
\(193\) −113.099 38.1076i −0.586007 0.197449i 0.0106527 0.999943i \(-0.496609\pi\)
−0.596659 + 0.802495i \(0.703506\pi\)
\(194\) 191.007 + 20.7733i 0.984575 + 0.107079i
\(195\) −38.0530 82.2503i −0.195144 0.421796i
\(196\) 1.96964 + 36.3279i 0.0100492 + 0.185346i
\(197\) −107.183 81.4783i −0.544075 0.413595i 0.296707 0.954969i \(-0.404112\pi\)
−0.840782 + 0.541373i \(0.817905\pi\)
\(198\) −18.5655 + 17.5861i −0.0937650 + 0.0888189i
\(199\) −330.786 199.027i −1.66224 1.00014i −0.956528 0.291640i \(-0.905799\pi\)
−0.705713 0.708498i \(-0.749373\pi\)
\(200\) −3.84836 + 8.31809i −0.0192418 + 0.0415905i
\(201\) −103.989 41.4330i −0.517358 0.206134i
\(202\) −32.5717 48.0397i −0.161246 0.237820i
\(203\) 40.7730 60.1357i 0.200852 0.296235i
\(204\) 23.9912 + 60.2133i 0.117604 + 0.295163i
\(205\) 12.8476 236.959i 0.0626711 1.15590i
\(206\) −84.3068 + 99.2537i −0.409256 + 0.481814i
\(207\) −72.8551 61.8837i −0.351957 0.298955i
\(208\) −39.3261 2.13220i −0.189068 0.0102510i
\(209\) 49.2730 19.6321i 0.235756 0.0939337i
\(210\) 59.8025 + 40.5471i 0.284774 + 0.193082i
\(211\) 94.8568 64.3145i 0.449558 0.304808i −0.315317 0.948986i \(-0.602111\pi\)
0.764875 + 0.644178i \(0.222800\pi\)
\(212\) 10.2625 25.7569i 0.0484080 0.121495i
\(213\) 63.0471 + 29.1687i 0.295996 + 0.136942i
\(214\) 105.964 176.113i 0.495158 0.822959i
\(215\) −285.758 301.671i −1.32911 1.40312i
\(216\) −8.89421 + 11.7001i −0.0411769 + 0.0541673i
\(217\) −202.903 + 11.0011i −0.935036 + 0.0506962i
\(218\) −47.5645 + 22.0057i −0.218186 + 0.100943i
\(219\) −10.8966 + 100.192i −0.0497560 + 0.457499i
\(220\) −20.4551 + 60.7086i −0.0929778 + 0.275948i
\(221\) −181.801 + 29.8048i −0.822630 + 0.134863i
\(222\) 128.418 + 121.644i 0.578462 + 0.547948i
\(223\) −88.1277 317.407i −0.395192 1.42335i −0.847170 0.531322i \(-0.821695\pi\)
0.451978 0.892029i \(-0.350718\pi\)
\(224\) 27.7414 14.7076i 0.123846 0.0656588i
\(225\) −9.21227 + 3.10397i −0.0409434 + 0.0137954i
\(226\) 194.498 42.8122i 0.860609 0.189434i
\(227\) −69.9035 19.4086i −0.307945 0.0855005i 0.110118 0.993919i \(-0.464877\pi\)
−0.418063 + 0.908418i \(0.637291\pi\)
\(228\) 26.1197 15.7157i 0.114560 0.0689284i
\(229\) 23.5267 + 216.325i 0.102737 + 0.944650i 0.926137 + 0.377188i \(0.123109\pi\)
−0.823400 + 0.567462i \(0.807925\pi\)
\(230\) −233.866 51.4778i −1.01681 0.223817i
\(231\) 51.1977 + 27.1433i 0.221635 + 0.117503i
\(232\) 36.5350 + 5.98961i 0.157479 + 0.0258173i
\(233\) −176.710 232.458i −0.758412 0.997674i −0.999630 0.0272028i \(-0.991340\pi\)
0.241218 0.970471i \(-0.422453\pi\)
\(234\) −27.0432 31.8377i −0.115569 0.136059i
\(235\) 99.1638i 0.421974i
\(236\) 65.4510 98.1843i 0.277335 0.416035i
\(237\) 186.899 0.788605
\(238\) 111.944 95.0861i 0.470353 0.399522i
\(239\) 48.4544 36.8341i 0.202738 0.154118i −0.498879 0.866672i \(-0.666255\pi\)
0.701617 + 0.712554i \(0.252462\pi\)
\(240\) −5.95643 + 36.3326i −0.0248185 + 0.151386i
\(241\) −193.776 + 365.501i −0.804051 + 1.51660i 0.0513777 + 0.998679i \(0.483639\pi\)
−0.855428 + 0.517921i \(0.826706\pi\)
\(242\) 25.7407 116.941i 0.106367 0.483229i
\(243\) −15.4971 + 1.68541i −0.0637740 + 0.00693584i
\(244\) −38.4429 63.8927i −0.157553 0.261855i
\(245\) −25.8614 + 93.1445i −0.105557 + 0.380182i
\(246\) −23.5142 106.826i −0.0955862 0.434253i
\(247\) 27.6648 + 82.1063i 0.112003 + 0.332414i
\(248\) −48.5013 91.4832i −0.195570 0.368884i
\(249\) 29.7829 8.26918i 0.119610 0.0332095i
\(250\) 112.461 118.723i 0.449842 0.474893i
\(251\) 24.1872 + 147.535i 0.0963633 + 0.587790i 0.990229 + 0.139454i \(0.0445349\pi\)
−0.893865 + 0.448336i \(0.852017\pi\)
\(252\) 31.5604 + 10.6339i 0.125240 + 0.0421981i
\(253\) −190.930 20.7649i −0.754663 0.0820745i
\(254\) 40.2844 + 87.0732i 0.158600 + 0.342808i
\(255\) 9.32401 + 171.971i 0.0365647 + 0.674397i
\(256\) 12.7375 + 9.68279i 0.0497558 + 0.0378234i
\(257\) 15.6560 14.8302i 0.0609184 0.0577050i −0.656635 0.754209i \(-0.728021\pi\)
0.717553 + 0.696504i \(0.245262\pi\)
\(258\) −164.115 98.7448i −0.636105 0.382732i
\(259\) 168.304 363.783i 0.649822 1.40457i
\(260\) −97.2140 38.7336i −0.373900 0.148975i
\(261\) 22.0370 + 32.5021i 0.0844329 + 0.124529i
\(262\) 49.3042 72.7183i 0.188184 0.277551i
\(263\) 17.6366 + 44.2645i 0.0670593 + 0.168306i 0.958687 0.284463i \(-0.0918154\pi\)
−0.891628 + 0.452769i \(0.850436\pi\)
\(264\) −1.59864 + 29.4852i −0.00605545 + 0.111686i
\(265\) 47.6934 56.1490i 0.179975 0.211883i
\(266\) −52.6468 44.7186i −0.197920 0.168115i
\(267\) 78.0577 + 4.23217i 0.292351 + 0.0158508i
\(268\) −120.076 + 47.8427i −0.448045 + 0.178517i
\(269\) −27.5158 18.6562i −0.102289 0.0693538i 0.508970 0.860784i \(-0.330026\pi\)
−0.611259 + 0.791430i \(0.709337\pi\)
\(270\) −32.3221 + 21.9149i −0.119711 + 0.0811664i
\(271\) 87.1391 218.703i 0.321546 0.807021i −0.675993 0.736908i \(-0.736285\pi\)
0.997539 0.0701123i \(-0.0223358\pi\)
\(272\) 67.9266 + 31.4262i 0.249730 + 0.115537i
\(273\) −48.8017 + 81.1090i −0.178761 + 0.297103i
\(274\) 204.381 + 215.762i 0.745916 + 0.787454i
\(275\) −11.8198 + 15.5487i −0.0429813 + 0.0565409i
\(276\) −110.216 + 5.97574i −0.399333 + 0.0216512i
\(277\) −30.0778 + 13.9154i −0.108584 + 0.0502363i −0.473429 0.880832i \(-0.656984\pi\)
0.364845 + 0.931068i \(0.381122\pi\)
\(278\) −26.8227 + 246.631i −0.0964845 + 0.887160i
\(279\) 35.0676 104.077i 0.125690 0.373036i
\(280\) 82.3308 13.4975i 0.294039 0.0482052i
\(281\) −318.022 301.247i −1.13175 1.07205i −0.996697 0.0812150i \(-0.974120\pi\)
−0.135056 0.990838i \(-0.543121\pi\)
\(282\) −12.2282 44.0421i −0.0433625 0.156178i
\(283\) −268.890 + 142.557i −0.950143 + 0.503734i −0.870001 0.493050i \(-0.835882\pi\)
−0.0801416 + 0.996783i \(0.525537\pi\)
\(284\) 76.0154 25.6126i 0.267660 0.0901850i
\(285\) 79.1025 17.4118i 0.277553 0.0610939i
\(286\) −80.8693 22.4532i −0.282760 0.0785078i
\(287\) −212.386 + 127.788i −0.740021 + 0.445256i
\(288\) 1.83484 + 16.8711i 0.00637097 + 0.0585801i
\(289\) 59.6734 + 13.1351i 0.206482 + 0.0454502i
\(290\) 86.9133 + 46.0785i 0.299701 + 0.158891i
\(291\) 232.215 + 38.0697i 0.797989 + 0.130824i
\(292\) 70.4268 + 92.6448i 0.241188 + 0.317277i
\(293\) −153.490 180.702i −0.523857 0.616732i 0.435066 0.900398i \(-0.356725\pi\)
−0.958923 + 0.283667i \(0.908449\pi\)
\(294\) 44.5577i 0.151557i
\(295\) 248.106 191.698i 0.841037 0.649825i
\(296\) 204.250 0.690035
\(297\) −23.8707 + 20.2759i −0.0803727 + 0.0682692i
\(298\) −179.029 + 136.094i −0.600769 + 0.456693i
\(299\) 50.7552 309.593i 0.169750 1.03543i
\(300\) −5.25789 + 9.91743i −0.0175263 + 0.0330581i
\(301\) −93.3007 + 423.869i −0.309969 + 1.40820i
\(302\) −127.891 + 13.9090i −0.423480 + 0.0460563i
\(303\) −36.6482 60.9098i −0.120951 0.201022i
\(304\) 9.41669 33.9158i 0.0309759 0.111565i
\(305\) −42.5919 193.497i −0.139645 0.634416i
\(306\) 25.3475 + 75.2286i 0.0828348 + 0.245845i
\(307\) 62.3380 + 117.582i 0.203055 + 0.383003i 0.964036 0.265772i \(-0.0856267\pi\)
−0.760981 + 0.648774i \(0.775282\pi\)
\(308\) 64.4735 17.9010i 0.209330 0.0581201i
\(309\) −109.684 + 115.792i −0.354965 + 0.374732i
\(310\) −44.5107 271.503i −0.143583 0.875817i
\(311\) 152.526 + 51.3920i 0.490438 + 0.165248i 0.553645 0.832753i \(-0.313236\pi\)
−0.0632075 + 0.998000i \(0.520133\pi\)
\(312\) −47.9525 5.21514i −0.153694 0.0167152i
\(313\) 62.3444 + 134.755i 0.199184 + 0.430528i 0.981269 0.192643i \(-0.0617060\pi\)
−0.782085 + 0.623171i \(0.785844\pi\)
\(314\) −4.88625 90.1216i −0.0155613 0.287011i
\(315\) 70.4469 + 53.5523i 0.223641 + 0.170007i
\(316\) 156.679 148.414i 0.495820 0.469666i
\(317\) −484.330 291.412i −1.52786 0.919280i −0.997437 0.0715433i \(-0.977208\pi\)
−0.530418 0.847737i \(-0.677965\pi\)
\(318\) 14.2584 30.8189i 0.0448376 0.0969149i
\(319\) 73.2932 + 29.2027i 0.229759 + 0.0915445i
\(320\) 23.8579 + 35.1878i 0.0745561 + 0.109962i
\(321\) 141.266 208.351i 0.440080 0.649070i
\(322\) 92.5788 + 232.355i 0.287512 + 0.721600i
\(323\) 8.91405 164.410i 0.0275977 0.509009i
\(324\) −11.6530 + 13.7189i −0.0359659 + 0.0423423i
\(325\) −24.3165 20.6547i −0.0748201 0.0635528i
\(326\) 14.4303 + 0.782388i 0.0442647 + 0.00239996i
\(327\) −59.6281 + 23.7580i −0.182349 + 0.0726544i
\(328\) −104.541 70.8808i −0.318724 0.216100i
\(329\) −85.7288 + 58.1255i −0.260574 + 0.176673i
\(330\) −29.0409 + 72.8872i −0.0880028 + 0.220870i
\(331\) 125.358 + 57.9966i 0.378724 + 0.175216i 0.600010 0.799993i \(-0.295163\pi\)
−0.221286 + 0.975209i \(0.571025\pi\)
\(332\) 18.4008 30.5823i 0.0554240 0.0921154i
\(333\) 148.983 + 157.280i 0.447398 + 0.472312i
\(334\) 32.8178 43.1711i 0.0982569 0.129255i
\(335\) −342.941 + 18.5937i −1.02370 + 0.0555037i
\(336\) 34.9016 16.1472i 0.103874 0.0480571i
\(337\) −53.9648 + 496.199i −0.160133 + 1.47240i 0.588006 + 0.808857i \(0.299913\pi\)
−0.748139 + 0.663542i \(0.769052\pi\)
\(338\) −32.5380 + 96.5694i −0.0962663 + 0.285708i
\(339\) 240.699 39.4607i 0.710027 0.116403i
\(340\) 144.376 + 136.761i 0.424637 + 0.402237i
\(341\) −59.0323 212.615i −0.173115 0.623504i
\(342\) 32.9850 17.4876i 0.0964475 0.0511332i
\(343\) 353.427 119.083i 1.03040 0.347182i
\(344\) −215.991 + 47.5432i −0.627880 + 0.138207i
\(345\) −282.593 78.4616i −0.819110 0.227425i
\(346\) −48.6223 + 29.2551i −0.140527 + 0.0845523i
\(347\) −72.5707 667.276i −0.209137 1.92299i −0.357238 0.934014i \(-0.616281\pi\)
0.148100 0.988972i \(-0.452684\pi\)
\(348\) 44.2833 + 9.74749i 0.127251 + 0.0280100i
\(349\) −163.533 86.6999i −0.468577 0.248424i 0.217351 0.976094i \(-0.430258\pi\)
−0.685927 + 0.727670i \(0.740603\pi\)
\(350\) 25.1011 + 4.11512i 0.0717175 + 0.0117575i
\(351\) −30.9614 40.7291i −0.0882092 0.116037i
\(352\) 22.0736 + 25.9871i 0.0627092 + 0.0738270i
\(353\) 454.693i 1.28808i 0.764991 + 0.644041i \(0.222744\pi\)
−0.764991 + 0.644041i \(0.777256\pi\)
\(354\) 86.5535 115.735i 0.244501 0.326934i
\(355\) 213.136 0.600384
\(356\) 68.7971 58.4367i 0.193250 0.164148i
\(357\) 143.207 108.863i 0.401139 0.304938i
\(358\) 15.7601 96.1321i 0.0440225 0.268525i
\(359\) 2.28752 4.31472i 0.00637191 0.0120187i −0.880306 0.474407i \(-0.842663\pi\)
0.886678 + 0.462388i \(0.153007\pi\)
\(360\) −9.69349 + 44.0380i −0.0269264 + 0.122328i
\(361\) 281.903 30.6588i 0.780894 0.0849274i
\(362\) 22.2251 + 36.9384i 0.0613952 + 0.102040i
\(363\) 39.2335 141.306i 0.108081 0.389274i
\(364\) 23.4968 + 106.747i 0.0645517 + 0.293261i
\(365\) 98.7333 + 293.030i 0.270502 + 0.802822i
\(366\) −42.7773 80.6865i −0.116878 0.220455i
\(367\) −323.777 + 89.8963i −0.882226 + 0.244949i −0.678961 0.734175i \(-0.737569\pi\)
−0.203266 + 0.979124i \(0.565156\pi\)
\(368\) −87.6496 + 92.5306i −0.238178 + 0.251442i
\(369\) −21.6734 132.202i −0.0587356 0.358271i
\(370\) 514.301 + 173.288i 1.39000 + 0.468347i
\(371\) −76.4975 8.31960i −0.206193 0.0224248i
\(372\) −53.2487 115.095i −0.143142 0.309396i
\(373\) −1.23936 22.8586i −0.00332268 0.0612832i 0.996402 0.0847550i \(-0.0270108\pi\)
−0.999724 + 0.0234718i \(0.992528\pi\)
\(374\) 126.973 + 96.5224i 0.339500 + 0.258081i
\(375\) 145.406 137.735i 0.387748 0.367295i
\(376\) −45.2242 27.2105i −0.120277 0.0723684i
\(377\) −54.1149 + 116.967i −0.143541 + 0.310258i
\(378\) 37.8916 + 15.0974i 0.100242 + 0.0399402i
\(379\) 41.9826 + 61.9198i 0.110772 + 0.163377i 0.879034 0.476759i \(-0.158189\pi\)
−0.768262 + 0.640136i \(0.778878\pi\)
\(380\) 52.4857 77.4107i 0.138120 0.203712i
\(381\) 43.4922 + 109.157i 0.114153 + 0.286502i
\(382\) −12.0872 + 222.935i −0.0316418 + 0.583599i
\(383\) 83.3226 98.0949i 0.217552 0.256123i −0.642550 0.766244i \(-0.722124\pi\)
0.860103 + 0.510121i \(0.170399\pi\)
\(384\) 14.9353 + 12.6861i 0.0388939 + 0.0330368i
\(385\) 177.531 + 9.62547i 0.461120 + 0.0250012i
\(386\) −156.794 + 62.4725i −0.406203 + 0.161846i
\(387\) −194.157 131.642i −0.501698 0.340159i
\(388\) 224.898 152.485i 0.579634 0.393002i
\(389\) −161.896 + 406.329i −0.416185 + 1.04455i 0.560171 + 0.828377i \(0.310736\pi\)
−0.976356 + 0.216169i \(0.930644\pi\)
\(390\) −116.319 53.8151i −0.298255 0.137987i
\(391\) −307.371 + 510.854i −0.786115 + 1.30653i
\(392\) 35.3827 + 37.3531i 0.0902620 + 0.0952885i
\(393\) 65.1182 85.6615i 0.165695 0.217968i
\(394\) −190.125 + 10.3083i −0.482551 + 0.0261631i
\(395\) 520.434 240.778i 1.31755 0.609565i
\(396\) −3.91011 + 35.9529i −0.00987401 + 0.0907901i
\(397\) −89.2655 + 264.930i −0.224850 + 0.667331i 0.774544 + 0.632520i \(0.217979\pi\)
−0.999394 + 0.0348109i \(0.988917\pi\)
\(398\) −538.759 + 88.3251i −1.35367 + 0.221922i
\(399\) −61.4192 58.1794i −0.153933 0.145813i
\(400\) 3.46757 + 12.4891i 0.00866893 + 0.0312227i
\(401\) 286.596 151.944i 0.714704 0.378912i −0.0710319 0.997474i \(-0.522629\pi\)
0.785736 + 0.618562i \(0.212284\pi\)
\(402\) −150.019 + 50.5473i −0.373182 + 0.125740i
\(403\) 352.021 77.4857i 0.873501 0.192272i
\(404\) −79.0901 21.9593i −0.195768 0.0543546i
\(405\) −40.9813 + 24.6577i −0.101189 + 0.0608831i
\(406\) −11.1092 102.147i −0.0273625 0.251594i
\(407\) 425.089 + 93.5691i 1.04444 + 0.229899i
\(408\) 80.9870 + 42.9366i 0.198498 + 0.105237i
\(409\) 644.009 + 105.580i 1.57459 + 0.258141i 0.884837 0.465900i \(-0.154269\pi\)
0.689756 + 0.724042i \(0.257718\pi\)
\(410\) −203.099 267.172i −0.495362 0.651638i
\(411\) 235.641 + 277.418i 0.573336 + 0.674983i
\(412\) 184.168i 0.447010i
\(413\) −311.155 102.126i −0.753403 0.247280i
\(414\) −135.185 −0.326533
\(415\) 72.2794 61.3947i 0.174167 0.147939i
\(416\) −44.3402 + 33.7065i −0.106587 + 0.0810253i
\(417\) −49.1560 + 299.838i −0.117880 + 0.719036i
\(418\) 35.1353 66.2722i 0.0840557 0.158546i
\(419\) −88.9705 + 404.197i −0.212340 + 0.964670i 0.743030 + 0.669258i \(0.233388\pi\)
−0.955370 + 0.295412i \(0.904543\pi\)
\(420\) 101.581 11.0476i 0.241860 0.0263039i
\(421\) 423.556 + 703.955i 1.00607 + 1.67210i 0.690713 + 0.723129i \(0.257297\pi\)
0.315357 + 0.948973i \(0.397876\pi\)
\(422\) 43.3597 156.168i 0.102748 0.370065i
\(423\) −12.0342 54.6720i −0.0284497 0.129248i
\(424\) −12.5200 37.1581i −0.0295284 0.0876370i
\(425\) 28.4000 + 53.5680i 0.0668235 + 0.126042i
\(426\) 94.6611 26.2825i 0.222209 0.0616961i
\(427\) −142.316 + 150.241i −0.333292 + 0.351852i
\(428\) −47.0250 286.840i −0.109871 0.670186i
\(429\) −97.4102 32.8213i −0.227063 0.0765065i
\(430\) −584.200 63.5356i −1.35860 0.147757i
\(431\) 68.1436 + 147.290i 0.158106 + 0.341740i 0.970398 0.241510i \(-0.0776428\pi\)
−0.812293 + 0.583250i \(0.801781\pi\)
\(432\) 1.12526 + 20.7541i 0.00260476 + 0.0480420i
\(433\) −131.067 99.6345i −0.302695 0.230103i 0.442790 0.896626i \(-0.353989\pi\)
−0.745485 + 0.666523i \(0.767782\pi\)
\(434\) −208.629 + 197.624i −0.480712 + 0.455354i
\(435\) 103.235 + 62.1146i 0.237322 + 0.142792i
\(436\) −31.1207 + 67.2664i −0.0713778 + 0.154281i
\(437\) 260.474 + 103.782i 0.596051 + 0.237488i
\(438\) 79.9854 + 117.970i 0.182615 + 0.269337i
\(439\) 423.365 624.416i 0.964384 1.42236i 0.0587637 0.998272i \(-0.481284\pi\)
0.905621 0.424089i \(-0.139406\pi\)
\(440\) 33.5336 + 84.1629i 0.0762126 + 0.191279i
\(441\) −2.95446 + 54.4918i −0.00669946 + 0.123564i
\(442\) −168.669 + 198.572i −0.381603 + 0.449258i
\(443\) 20.7851 + 17.6550i 0.0469189 + 0.0398533i 0.670539 0.741874i \(-0.266063\pi\)
−0.623620 + 0.781728i \(0.714339\pi\)
\(444\) 249.788 + 13.5431i 0.562585 + 0.0305025i
\(445\) 222.809 88.7752i 0.500694 0.199495i
\(446\) −385.589 261.436i −0.864550 0.586179i
\(447\) −227.967 + 154.566i −0.509994 + 0.345785i
\(448\) 16.4360 41.2512i 0.0366874 0.0920785i
\(449\) 606.482 + 280.588i 1.35074 + 0.624918i 0.955862 0.293816i \(-0.0949252\pi\)
0.394877 + 0.918734i \(0.370787\pi\)
\(450\) −7.08771 + 11.7799i −0.0157505 + 0.0261775i
\(451\) −185.102 195.409i −0.410425 0.433280i
\(452\) 170.445 224.216i 0.377090 0.496054i
\(453\) −157.326 + 8.52999i −0.347299 + 0.0188300i
\(454\) −93.1156 + 43.0799i −0.205101 + 0.0948896i
\(455\) −31.4006 + 288.723i −0.0690122 + 0.634557i
\(456\) 13.7650 40.8529i 0.0301863 0.0895898i
\(457\) 30.6526 5.02523i 0.0670734 0.0109961i −0.128152 0.991755i \(-0.540904\pi\)
0.195225 + 0.980758i \(0.437456\pi\)
\(458\) 223.413 + 211.628i 0.487802 + 0.462070i
\(459\) 26.0105 + 93.6814i 0.0566678 + 0.204099i
\(460\) −299.205 + 158.629i −0.650446 + 0.344845i
\(461\) −622.150 + 209.627i −1.34957 + 0.454722i −0.898971 0.438007i \(-0.855684\pi\)
−0.450594 + 0.892729i \(0.648788\pi\)
\(462\) 80.0347 17.6170i 0.173235 0.0381320i
\(463\) 492.387 + 136.710i 1.06347 + 0.295271i 0.754838 0.655911i \(-0.227715\pi\)
0.308631 + 0.951182i \(0.400129\pi\)
\(464\) 44.8634 26.9934i 0.0966883 0.0581754i
\(465\) −36.4319 334.986i −0.0783482 0.720400i
\(466\) −403.294 88.7717i −0.865437 0.190497i
\(467\) 608.823 + 322.778i 1.30369 + 0.691173i 0.968036 0.250812i \(-0.0806977\pi\)
0.335655 + 0.941985i \(0.391043\pi\)
\(468\) −58.2976 9.55741i −0.124568 0.0204218i
\(469\) 217.092 + 285.579i 0.462882 + 0.608911i
\(470\) −90.7887 106.885i −0.193167 0.227414i
\(471\) 110.538i 0.234688i
\(472\) −19.3449 165.752i −0.0409850 0.351170i
\(473\) −471.303 −0.996412
\(474\) 201.451 171.114i 0.425003 0.361001i
\(475\) 22.7001 17.2562i 0.0477897 0.0363288i
\(476\) 33.6046 204.979i 0.0705979 0.430628i
\(477\) 19.4807 36.7445i 0.0408401 0.0770326i
\(478\) 18.5039 84.0641i 0.0387111 0.175866i
\(479\) −339.679 + 36.9423i −0.709142 + 0.0771239i −0.455580 0.890195i \(-0.650568\pi\)
−0.253563 + 0.967319i \(0.581602\pi\)
\(480\) 26.8439 + 44.6148i 0.0559247 + 0.0929476i
\(481\) −190.216 + 685.095i −0.395459 + 1.42431i
\(482\) 125.768 + 571.369i 0.260929 + 1.18541i
\(483\) 97.8125 + 290.297i 0.202510 + 0.601029i
\(484\) −79.3198 149.613i −0.163884 0.309118i
\(485\) 695.662 193.150i 1.43435 0.398247i
\(486\) −15.1606 + 16.0049i −0.0311947 + 0.0329318i
\(487\) 117.079 + 714.149i 0.240408 + 1.46643i 0.780678 + 0.624934i \(0.214874\pi\)
−0.540269 + 0.841492i \(0.681678\pi\)
\(488\) −99.9326 33.6712i −0.204780 0.0689984i
\(489\) 17.5956 + 1.91364i 0.0359829 + 0.00391338i
\(490\) 57.4027 + 124.074i 0.117148 + 0.253212i
\(491\) 50.7326 + 935.707i 0.103325 + 1.90572i 0.350208 + 0.936672i \(0.386111\pi\)
−0.246883 + 0.969045i \(0.579406\pi\)
\(492\) −123.149 93.6154i −0.250303 0.190275i
\(493\) 177.809 168.430i 0.360668 0.341643i
\(494\) 104.991 + 63.1708i 0.212532 + 0.127876i
\(495\) −40.3484 + 87.2117i −0.0815120 + 0.176185i
\(496\) −136.034 54.2011i −0.274263 0.109276i
\(497\) −124.931 184.260i −0.251371 0.370744i
\(498\) 24.5310 36.1805i 0.0492590 0.0726516i
\(499\) −106.211 266.569i −0.212847 0.534206i 0.783326 0.621611i \(-0.213522\pi\)
−0.996173 + 0.0874055i \(0.972142\pi\)
\(500\) 12.5206 230.929i 0.0250413 0.461859i
\(501\) 42.9970 50.6200i 0.0858224 0.101038i
\(502\) 161.145 + 136.878i 0.321007 + 0.272665i
\(503\) 36.7732 + 1.99378i 0.0731077 + 0.00396379i 0.0906565 0.995882i \(-0.471103\pi\)
−0.0175488 + 0.999846i \(0.505586\pi\)
\(504\) 43.7535 17.4330i 0.0868124 0.0345892i
\(505\) −180.518 122.394i −0.357461 0.242365i
\(506\) −224.807 + 152.423i −0.444282 + 0.301231i
\(507\) −46.1955 + 115.942i −0.0911153 + 0.228682i
\(508\) 123.140 + 56.9707i 0.242402 + 0.112147i
\(509\) 362.413 602.335i 0.712010 1.18337i −0.263764 0.964587i \(-0.584964\pi\)
0.975774 0.218782i \(-0.0702083\pi\)
\(510\) 167.497 + 176.824i 0.328425 + 0.346714i
\(511\) 195.456 257.118i 0.382497 0.503166i
\(512\) 22.5942 1.22502i 0.0441294 0.00239262i
\(513\) 41.4986 19.1993i 0.0808939 0.0374255i
\(514\) 3.29735 30.3186i 0.00641507 0.0589856i
\(515\) −156.250 + 463.734i −0.303398 + 0.900454i
\(516\) −267.298 + 43.8213i −0.518020 + 0.0849250i
\(517\) −81.6559 77.3486i −0.157942 0.149610i
\(518\) −151.651 546.196i −0.292762 1.05443i
\(519\) −61.4024 + 32.5535i −0.118309 + 0.0627235i
\(520\) −140.245 + 47.2541i −0.269703 + 0.0908734i
\(521\) 46.7898 10.2992i 0.0898076 0.0197682i −0.169839 0.985472i \(-0.554325\pi\)
0.259647 + 0.965704i \(0.416394\pi\)
\(522\) 53.5099 + 14.8569i 0.102509 + 0.0284616i
\(523\) −182.372 + 109.730i −0.348705 + 0.209809i −0.679120 0.734027i \(-0.737639\pi\)
0.330416 + 0.943835i \(0.392811\pi\)
\(524\) −13.4336 123.520i −0.0256367 0.235726i
\(525\) 30.4245 + 6.69695i 0.0579515 + 0.0127561i
\(526\) 59.5358 + 31.5639i 0.113186 + 0.0600074i
\(527\) −675.962 110.818i −1.28266 0.210281i
\(528\) 25.2718 + 33.2445i 0.0478633 + 0.0629631i
\(529\) −314.806 370.619i −0.595097 0.700602i
\(530\) 104.186i 0.196577i
\(531\) 113.524 135.798i 0.213794 0.255741i
\(532\) −97.6877 −0.183623
\(533\) 335.106 284.642i 0.628717 0.534037i
\(534\) 88.0100 66.9035i 0.164813 0.125287i
\(535\) 124.949 762.157i 0.233550 1.42459i
\(536\) −85.6232 + 161.502i −0.159745 + 0.301311i
\(537\) 25.6479 116.520i 0.0477615 0.216983i
\(538\) −46.7387 + 5.08314i −0.0868749 + 0.00944821i
\(539\) 56.5272 + 93.9489i 0.104874 + 0.174302i
\(540\) −14.7746 + 53.2134i −0.0273604 + 0.0985434i
\(541\) −101.786 462.419i −0.188144 0.854749i −0.972217 0.234080i \(-0.924792\pi\)
0.784073 0.620669i \(-0.213139\pi\)
\(542\) −106.308 315.510i −0.196140 0.582122i
\(543\) 24.7309 + 46.6474i 0.0455449 + 0.0859068i
\(544\) 101.987 28.3167i 0.187477 0.0520527i
\(545\) −135.431 + 142.973i −0.248498 + 0.262336i
\(546\) 21.6574 + 132.104i 0.0396655 + 0.241949i
\(547\) 280.033 + 94.3543i 0.511944 + 0.172494i 0.563405 0.826181i \(-0.309491\pi\)
−0.0514607 + 0.998675i \(0.516388\pi\)
\(548\) 417.834 + 45.4422i 0.762471 + 0.0829237i
\(549\) −46.9644 101.512i −0.0855453 0.184903i
\(550\) 1.49540 + 27.5809i 0.00271890 + 0.0501472i
\(551\) −91.6971 69.7063i −0.166419 0.126509i
\(552\) −113.326 + 107.348i −0.205301 + 0.194472i
\(553\) −513.213 308.790i −0.928052 0.558390i
\(554\) −19.6794 + 42.5364i −0.0355224 + 0.0767804i
\(555\) 617.474 + 246.024i 1.11257 + 0.443287i
\(556\) 196.890 + 290.391i 0.354118 + 0.522285i
\(557\) 90.6294 133.668i 0.162710 0.239979i −0.737590 0.675248i \(-0.764036\pi\)
0.900300 + 0.435269i \(0.143347\pi\)
\(558\) −57.4889 144.286i −0.103027 0.258578i
\(559\) 41.6805 768.751i 0.0745626 1.37523i
\(560\) 76.3836 89.9257i 0.136399 0.160582i
\(561\) 148.882 + 126.461i 0.265386 + 0.225421i
\(562\) −618.588 33.5389i −1.10069 0.0596777i
\(563\) −826.571 + 329.336i −1.46815 + 0.584966i −0.960916 0.276839i \(-0.910713\pi\)
−0.507239 + 0.861806i \(0.669334\pi\)
\(564\) −53.5027 36.2757i −0.0948629 0.0643187i
\(565\) 619.407 419.968i 1.09629 0.743306i
\(566\) −159.309 + 399.837i −0.281466 + 0.706425i
\(567\) 45.3385 + 20.9758i 0.0799620 + 0.0369944i
\(568\) 58.4845 97.2020i 0.102966 0.171130i
\(569\) 531.106 + 560.681i 0.933402 + 0.985380i 0.999923 0.0124046i \(-0.00394861\pi\)
−0.0665212 + 0.997785i \(0.521190\pi\)
\(570\) 69.3202 91.1891i 0.121614 0.159981i
\(571\) −392.146 + 21.2615i −0.686770 + 0.0372356i −0.394222 0.919015i \(-0.628986\pi\)
−0.292548 + 0.956251i \(0.594503\pi\)
\(572\) −107.723 + 49.8378i −0.188326 + 0.0871290i
\(573\) −29.5640 + 271.837i −0.0515951 + 0.474409i
\(574\) −111.927 + 332.186i −0.194994 + 0.578722i
\(575\) −101.889 + 16.7039i −0.177199 + 0.0290502i
\(576\) 17.4239 + 16.5048i 0.0302498 + 0.0286541i
\(577\) 37.2546 + 134.179i 0.0645660 + 0.232546i 0.988792 0.149300i \(-0.0477022\pi\)
−0.924226 + 0.381846i \(0.875288\pi\)
\(578\) 76.3453 40.4757i 0.132085 0.0700272i
\(579\) −195.894 + 66.0043i −0.338331 + 0.113997i
\(580\) 135.867 29.9066i 0.234254 0.0515632i
\(581\) −95.4438 26.4998i −0.164275 0.0456107i
\(582\) 285.150 171.569i 0.489948 0.294792i
\(583\) −9.03435 83.0695i −0.0154963 0.142486i
\(584\) 160.730 + 35.3794i 0.275223 + 0.0605812i
\(585\) −138.684 73.5258i −0.237067 0.125685i
\(586\) −330.881 54.2453i −0.564644 0.0925687i
\(587\) −275.980 363.046i −0.470154 0.618477i 0.498500 0.866890i \(-0.333884\pi\)
−0.968654 + 0.248412i \(0.920091\pi\)
\(588\) 40.7945 + 48.0270i 0.0693784 + 0.0816786i
\(589\) 322.146i 0.546937i
\(590\) 91.9155 433.775i 0.155789 0.735212i
\(591\) −233.197 −0.394580
\(592\) 220.153 187.000i 0.371881 0.315878i
\(593\) 485.401 368.992i 0.818551 0.622247i −0.109799 0.993954i \(-0.535021\pi\)
0.928350 + 0.371707i \(0.121227\pi\)
\(594\) −7.16577 + 43.7092i −0.0120636 + 0.0735846i
\(595\) 258.523 487.626i 0.434492 0.819539i
\(596\) −68.3681 + 310.600i −0.114712 + 0.521140i
\(597\) −664.731 + 72.2939i −1.11345 + 0.121095i
\(598\) −228.738 380.166i −0.382506 0.635729i
\(599\) −143.530 + 516.950i −0.239617 + 0.863021i 0.741718 + 0.670712i \(0.234011\pi\)
−0.981334 + 0.192309i \(0.938402\pi\)
\(600\) 3.41256 + 15.5034i 0.00568760 + 0.0258390i
\(601\) −258.834 768.193i −0.430673 1.27819i −0.915053 0.403333i \(-0.867852\pi\)
0.484380 0.874857i \(-0.339045\pi\)
\(602\) 287.505 + 542.292i 0.477583 + 0.900818i
\(603\) −186.817 + 51.8696i −0.309813 + 0.0860192i
\(604\) −125.114 + 132.082i −0.207143 + 0.218678i
\(605\) −72.7935 444.021i −0.120320 0.733918i
\(606\) −95.2671 32.0992i −0.157206 0.0529690i
\(607\) −839.437 91.2943i −1.38293 0.150402i −0.613782 0.789476i \(-0.710353\pi\)
−0.769146 + 0.639073i \(0.779318\pi\)
\(608\) −20.9015 45.1779i −0.0343775 0.0743058i
\(609\) −6.81295 125.657i −0.0111871 0.206334i
\(610\) −223.063 169.568i −0.365676 0.277980i
\(611\) 133.386 126.350i 0.218308 0.206792i
\(612\) 96.1960 + 57.8792i 0.157183 + 0.0945739i
\(613\) −148.878 + 321.794i −0.242867 + 0.524949i −0.990226 0.139472i \(-0.955460\pi\)
0.747359 + 0.664421i \(0.231322\pi\)
\(614\) 174.843 + 69.6637i 0.284760 + 0.113459i
\(615\) −230.664 340.204i −0.375063 0.553177i
\(616\) 53.1043 78.3230i 0.0862083 0.127148i
\(617\) 63.0230 + 158.176i 0.102144 + 0.256363i 0.971163 0.238416i \(-0.0766283\pi\)
−0.869019 + 0.494779i \(0.835249\pi\)
\(618\) −12.2115 + 225.228i −0.0197597 + 0.364447i
\(619\) 707.082 832.442i 1.14230 1.34482i 0.212320 0.977200i \(-0.431898\pi\)
0.929977 0.367617i \(-0.119826\pi\)
\(620\) −296.549 251.891i −0.478305 0.406276i
\(621\) −165.324 8.96361i −0.266222 0.0144341i
\(622\) 211.453 84.2507i 0.339957 0.135451i
\(623\) −207.349 140.586i −0.332823 0.225659i
\(624\) −56.4607 + 38.2813i −0.0904819 + 0.0613483i
\(625\) 257.435 646.112i 0.411895 1.03378i
\(626\) 190.573 + 88.1684i 0.304429 + 0.140844i
\(627\) 47.3629 78.7178i 0.0755390 0.125547i
\(628\) −87.7768 92.6649i −0.139772 0.147556i
\(629\) 817.703 1075.67i 1.30000 1.71013i
\(630\) 124.961 6.77521i 0.198351 0.0107543i
\(631\) −171.287 + 79.2458i −0.271453 + 0.125588i −0.550894 0.834575i \(-0.685713\pi\)
0.279440 + 0.960163i \(0.409851\pi\)
\(632\) 32.9985 303.416i 0.0522128 0.480089i
\(633\) 63.3816 188.110i 0.100129 0.297172i
\(634\) −788.840 + 129.324i −1.24423 + 0.203981i
\(635\) 261.732 + 247.925i 0.412176 + 0.390433i
\(636\) −12.8475 46.2726i −0.0202005 0.0727557i
\(637\) −158.241 + 83.8940i −0.248416 + 0.131702i
\(638\) 105.736 35.6267i 0.165731 0.0558412i
\(639\) 117.508 25.8656i 0.183894 0.0404782i
\(640\) 57.9315 + 16.0846i 0.0905179 + 0.0251322i
\(641\) 242.076 145.652i 0.377653 0.227226i −0.314053 0.949406i \(-0.601687\pi\)
0.691706 + 0.722179i \(0.256859\pi\)
\(642\) −38.4899 353.908i −0.0599530 0.551259i
\(643\) −1133.50 249.502i −1.76283 0.388028i −0.788837 0.614602i \(-0.789317\pi\)
−0.973994 + 0.226574i \(0.927248\pi\)
\(644\) 312.518 + 165.687i 0.485277 + 0.257277i
\(645\) −710.234 116.437i −1.10114 0.180522i
\(646\) −140.916 185.372i −0.218137 0.286954i
\(647\) −480.224 565.364i −0.742232 0.873823i 0.253383 0.967366i \(-0.418457\pi\)
−0.995615 + 0.0935427i \(0.970181\pi\)
\(648\) 25.4558i 0.0392837i
\(649\) 35.6717 353.828i 0.0549642 0.545189i
\(650\) −45.1201 −0.0694155
\(651\) −268.246 + 227.850i −0.412052 + 0.350001i
\(652\) 16.2701 12.3682i 0.0249542 0.0189697i
\(653\) 102.528 625.394i 0.157011 0.957725i −0.784349 0.620320i \(-0.787003\pi\)
0.941360 0.337404i \(-0.109549\pi\)
\(654\) −42.5192 + 80.1998i −0.0650141 + 0.122630i
\(655\) 70.9701 322.420i 0.108351 0.492245i
\(656\) −177.575 + 19.3125i −0.270694 + 0.0294398i
\(657\) 89.9959 + 149.574i 0.136980 + 0.227663i
\(658\) −39.1872 + 141.140i −0.0595550 + 0.214498i
\(659\) 75.5540 + 343.245i 0.114649 + 0.520857i 0.998582 + 0.0532424i \(0.0169556\pi\)
−0.883932 + 0.467615i \(0.845113\pi\)
\(660\) 35.4293 + 105.150i 0.0536807 + 0.159319i
\(661\) 70.2952 + 132.591i 0.106347 + 0.200591i 0.930974 0.365085i \(-0.118960\pi\)
−0.824627 + 0.565676i \(0.808615\pi\)
\(662\) 188.216 52.2580i 0.284315 0.0789396i
\(663\) −219.440 + 231.660i −0.330980 + 0.349411i
\(664\) −8.16596 49.8101i −0.0122981 0.0750152i
\(665\) −245.977 82.8793i −0.369890 0.124631i
\(666\) 304.580 + 33.1250i 0.457327 + 0.0497373i
\(667\) 175.126 + 378.528i 0.262557 + 0.567508i
\(668\) −4.15197 76.5785i −0.00621552 0.114638i
\(669\) −454.221 345.290i −0.678955 0.516128i
\(670\) −352.619 + 334.019i −0.526297 + 0.498535i
\(671\) −192.556 115.857i −0.286968 0.172663i
\(672\) 22.8356 49.3583i 0.0339815 0.0734498i
\(673\) −25.1398 10.0166i −0.0373549 0.0148835i 0.351386 0.936231i \(-0.385711\pi\)
−0.388741 + 0.921347i \(0.627090\pi\)
\(674\) 396.124 + 584.240i 0.587721 + 0.866824i
\(675\) −9.44899 + 13.9362i −0.0139985 + 0.0206463i
\(676\) 53.3419 + 133.878i 0.0789082 + 0.198045i
\(677\) 11.0616 204.020i 0.0163392 0.301358i −0.978930 0.204198i \(-0.934541\pi\)
0.995269 0.0971603i \(-0.0309759\pi\)
\(678\) 223.312 262.904i 0.329369 0.387763i
\(679\) −574.748 488.195i −0.846463 0.718992i
\(680\) 280.828 + 15.2260i 0.412982 + 0.0223912i
\(681\) −116.732 + 46.5103i −0.171413 + 0.0682971i
\(682\) −258.287 175.123i −0.378719 0.256778i
\(683\) 989.766 671.078i 1.44915 0.982545i 0.453312 0.891352i \(-0.350242\pi\)
0.995833 0.0911929i \(-0.0290680\pi\)
\(684\) 19.5427 49.0484i 0.0285711 0.0717081i
\(685\) 1013.55 + 468.918i 1.47963 + 0.684552i
\(686\) 271.919 451.932i 0.396383 0.658794i
\(687\) 259.191 + 273.624i 0.377279 + 0.398288i
\(688\) −189.280 + 248.994i −0.275116 + 0.361909i
\(689\) 136.295 7.38971i 0.197816 0.0107253i
\(690\) −376.431 + 174.155i −0.545552 + 0.252399i
\(691\) −66.9956 + 616.014i −0.0969546 + 0.891482i 0.840131 + 0.542383i \(0.182478\pi\)
−0.937086 + 0.349099i \(0.886488\pi\)
\(692\) −25.6238 + 76.0487i −0.0370286 + 0.109897i
\(693\) 99.0465 16.2378i 0.142924 0.0234312i
\(694\) −689.141 652.789i −0.992998 0.940618i
\(695\) 249.397 + 898.245i 0.358844 + 1.29244i
\(696\) 56.6554 30.0368i 0.0814015 0.0431563i
\(697\) −791.813 + 266.793i −1.13603 + 0.382773i
\(698\) −255.643 + 56.2714i −0.366251 + 0.0806180i
\(699\) −487.321 135.304i −0.697169 0.193568i
\(700\) 30.8231 18.5456i 0.0440330 0.0264937i
\(701\) 128.553 + 1182.03i 0.183385 + 1.68620i 0.618469 + 0.785809i \(0.287753\pi\)
−0.435084 + 0.900390i \(0.643281\pi\)
\(702\) −70.6613 15.5537i −0.100657 0.0221563i
\(703\) −561.434 297.654i −0.798626 0.423405i
\(704\) 47.5846 + 7.80110i 0.0675918 + 0.0110811i
\(705\) −103.943 136.734i −0.147437 0.193949i
\(706\) 416.291 + 490.096i 0.589647 + 0.694186i
\(707\) 227.803i 0.322211i
\(708\) −12.6674 203.989i −0.0178918 0.288120i
\(709\) 413.951 0.583852 0.291926 0.956441i \(-0.405704\pi\)
0.291926 + 0.956441i \(0.405704\pi\)
\(710\) 229.731 195.135i 0.323565 0.274838i
\(711\) 257.711 195.907i 0.362462 0.275537i
\(712\) 20.6523 125.973i 0.0290060 0.176929i
\(713\) 546.387 1030.59i 0.766321 1.44543i
\(714\) 54.6881 248.451i 0.0765940 0.347970i
\(715\) −313.528 + 34.0982i −0.438501 + 0.0476898i
\(716\) −71.0259 118.046i −0.0991982 0.164869i
\(717\) 28.2033 101.579i 0.0393351 0.141672i
\(718\) −1.48468 6.74498i −0.00206780 0.00939412i
\(719\) −177.564 526.991i −0.246960 0.732950i −0.997403 0.0720158i \(-0.977057\pi\)
0.750444 0.660934i \(-0.229840\pi\)
\(720\) 29.8704 + 56.3416i 0.0414867 + 0.0782522i
\(721\) 492.493 136.740i 0.683069 0.189653i
\(722\) 275.782 291.140i 0.381970 0.403241i
\(723\) 115.922 + 707.094i 0.160335 + 0.978000i
\(724\) 57.7742 + 19.4664i 0.0797986 + 0.0268873i
\(725\) 42.1664 + 4.58587i 0.0581605 + 0.00632534i
\(726\) −87.0838 188.229i −0.119950 0.259268i
\(727\) −11.5228 212.525i −0.0158498 0.292332i −0.995702 0.0926102i \(-0.970479\pi\)
0.979853 0.199722i \(-0.0640038\pi\)
\(728\) 123.058 + 93.5461i 0.169035 + 0.128497i
\(729\) −19.6019 + 18.5679i −0.0268887 + 0.0254704i
\(730\) 374.702 + 225.451i 0.513290 + 0.308837i
\(731\) −614.322 + 1327.84i −0.840386 + 1.81647i
\(732\) −119.980 47.8043i −0.163907 0.0653064i
\(733\) 429.813 + 633.926i 0.586375 + 0.864838i 0.998937 0.0460912i \(-0.0146765\pi\)
−0.412562 + 0.910929i \(0.635366\pi\)
\(734\) −266.682 + 393.327i −0.363328 + 0.535868i
\(735\) 61.9737 + 155.542i 0.0843179 + 0.211622i
\(736\) −9.75834 + 179.982i −0.0132586 + 0.244541i
\(737\) −252.186 + 296.896i −0.342179 + 0.402844i
\(738\) −144.397 122.652i −0.195661 0.166196i
\(739\) −232.283 12.5940i −0.314321 0.0170420i −0.103696 0.994609i \(-0.533067\pi\)
−0.210624 + 0.977567i \(0.567550\pi\)
\(740\) 712.998 284.084i 0.963510 0.383898i
\(741\) 124.210 + 84.2161i 0.167624 + 0.113652i
\(742\) −90.0705 + 61.0693i −0.121389 + 0.0823037i
\(743\) 344.021 863.426i 0.463015 1.16208i −0.493330 0.869842i \(-0.664220\pi\)
0.956345 0.292239i \(-0.0944003\pi\)
\(744\) −162.769 75.3051i −0.218776 0.101217i
\(745\) −435.667 + 724.084i −0.584788 + 0.971924i
\(746\) −22.2639 23.5037i −0.0298444 0.0315063i
\(747\) 32.3991 42.6203i 0.0433723 0.0570553i
\(748\) 225.230 12.2116i 0.301109 0.0163257i
\(749\) −732.138 + 338.723i −0.977487 + 0.452234i
\(750\) 30.6242 281.585i 0.0408322 0.375446i
\(751\) −392.260 + 1164.19i −0.522316 + 1.55018i 0.284077 + 0.958801i \(0.408313\pi\)
−0.806394 + 0.591379i \(0.798584\pi\)
\(752\) −73.6578 + 12.0756i −0.0979492 + 0.0160580i
\(753\) 187.997 + 178.080i 0.249663 + 0.236494i
\(754\) 48.7604 + 175.619i 0.0646689 + 0.232916i
\(755\) −427.097 + 226.432i −0.565691 + 0.299910i
\(756\) 54.6642 18.4185i 0.0723071 0.0243631i
\(757\) 311.110 68.4805i 0.410978 0.0904630i −0.00466919 0.999989i \(-0.501486\pi\)
0.415647 + 0.909526i \(0.363555\pi\)
\(758\) 101.942 + 28.3039i 0.134488 + 0.0373403i
\(759\) −285.034 + 171.499i −0.375538 + 0.225954i
\(760\) −14.3005 131.491i −0.0188164 0.173014i
\(761\) −123.988 27.2917i −0.162927 0.0358630i 0.132758 0.991149i \(-0.457617\pi\)
−0.295685 + 0.955286i \(0.595548\pi\)
\(762\) 146.817 + 77.8372i 0.192673 + 0.102149i
\(763\) 202.987 + 33.2780i 0.266038 + 0.0436146i
\(764\) 191.078 + 251.359i 0.250102 + 0.329004i
\(765\) 193.116 + 227.353i 0.252439 + 0.297194i
\(766\) 182.018i 0.237621i
\(767\) 573.980 + 89.4762i 0.748344 + 0.116657i
\(768\) 27.7128 0.0360844
\(769\) −977.094 + 829.951i −1.27060 + 1.07926i −0.277659 + 0.960680i \(0.589558\pi\)
−0.992944 + 0.118580i \(0.962166\pi\)
\(770\) 200.166 152.163i 0.259956 0.197614i
\(771\) 6.04280 36.8595i 0.00783762 0.0478074i
\(772\) −111.806 + 210.888i −0.144826 + 0.273172i
\(773\) 190.238 864.260i 0.246104 1.11806i −0.677744 0.735298i \(-0.737042\pi\)
0.923847 0.382761i \(-0.125027\pi\)
\(774\) −329.798 + 35.8676i −0.426095 + 0.0463406i
\(775\) −61.1581 101.646i −0.0789137 0.131156i
\(776\) 102.802 370.261i 0.132477 0.477140i
\(777\) −149.245 678.025i −0.192078 0.872619i
\(778\) 197.510 + 586.188i 0.253869 + 0.753455i
\(779\) 184.064 + 347.182i 0.236283 + 0.445676i
\(780\) −174.646 + 48.4902i −0.223905 + 0.0621670i
\(781\) 166.248 175.506i 0.212865 0.224719i
\(782\) 136.406 + 832.040i 0.174432 + 1.06399i
\(783\) 64.4547 + 21.7173i 0.0823177 + 0.0277361i
\(784\) 72.3360 + 7.86701i 0.0922652 + 0.0100345i
\(785\) −142.404 307.800i −0.181406 0.392102i
\(786\) −8.23847 151.950i −0.0104815 0.193320i
\(787\) 28.0887 + 21.3525i 0.0356908 + 0.0271315i 0.622868 0.782327i \(-0.285968\pi\)
−0.587177 + 0.809459i \(0.699761\pi\)
\(788\) −195.490 + 185.178i −0.248084 + 0.234998i
\(789\) 70.7164 + 42.5486i 0.0896278 + 0.0539273i
\(790\) 340.512 736.004i 0.431028 0.931651i
\(791\) −726.139 289.320i −0.918001 0.365765i
\(792\) 28.7018 + 42.3320i 0.0362397 + 0.0534495i
\(793\) 206.006 303.835i 0.259780 0.383147i
\(794\) 146.339 + 367.284i 0.184307 + 0.462575i
\(795\) 6.90819 127.414i 0.00868955 0.160269i
\(796\) −499.841 + 588.459i −0.627941 + 0.739270i
\(797\) −581.615 494.028i −0.729755 0.619860i 0.203499 0.979075i \(-0.434769\pi\)
−0.933255 + 0.359215i \(0.883044\pi\)
\(798\) −119.467 6.47731i −0.149708 0.00811693i
\(799\) −324.355 + 129.235i −0.405951 + 0.161746i
\(800\) 15.1718 + 10.2868i 0.0189648 + 0.0128584i
\(801\) 112.068 75.9839i 0.139910 0.0948613i
\(802\) 169.800 426.165i 0.211720 0.531378i
\(803\) 318.307 + 147.264i 0.396397 + 0.183393i
\(804\) −115.421 + 191.832i −0.143559 + 0.238597i
\(805\) 646.349 + 682.342i 0.802917 + 0.847630i
\(806\) 308.488 405.809i 0.382739 0.503485i
\(807\) −57.4961 + 3.11735i −0.0712467 + 0.00386288i
\(808\) −105.353 + 48.7414i −0.130387 + 0.0603235i
\(809\) −166.989 + 1535.44i −0.206415 + 1.89795i 0.193027 + 0.981193i \(0.438169\pi\)
−0.399442 + 0.916758i \(0.630796\pi\)
\(810\) −21.5970 + 64.0977i −0.0266630 + 0.0791329i
\(811\) 1080.98 177.218i 1.33290 0.218518i 0.547136 0.837044i \(-0.315718\pi\)
0.785764 + 0.618526i \(0.212270\pi\)
\(812\) −105.494 99.9295i −0.129919 0.123066i
\(813\) −109.089 392.902i −0.134180 0.483274i
\(814\) 543.852 288.332i 0.668123 0.354217i
\(815\) 51.4615 17.3394i 0.0631429 0.0212753i
\(816\) 126.603 27.8674i 0.155151 0.0341512i
\(817\) 662.990 + 184.078i 0.811494 + 0.225310i
\(818\) 790.814 475.817i 0.966765 0.581683i
\(819\) 17.7265 + 162.993i 0.0216441 + 0.199014i
\(820\) −463.519 102.028i −0.565267 0.124425i
\(821\) 274.444 + 145.501i 0.334280 + 0.177224i 0.627090 0.778946i \(-0.284246\pi\)
−0.292810 + 0.956171i \(0.594590\pi\)
\(822\) 507.976 + 83.2785i 0.617976 + 0.101312i
\(823\) −574.447 755.673i −0.697992 0.918193i 0.301384 0.953503i \(-0.402551\pi\)
−0.999376 + 0.0353099i \(0.988758\pi\)
\(824\) 168.614 + 198.507i 0.204628 + 0.240907i
\(825\) 33.8292i 0.0410051i
\(826\) −428.883 + 174.798i −0.519229 + 0.211620i
\(827\) 586.577 0.709283 0.354641 0.935002i \(-0.384603\pi\)
0.354641 + 0.935002i \(0.384603\pi\)
\(828\) −145.710 + 123.767i −0.175978 + 0.149477i
\(829\) 101.724 77.3282i 0.122706 0.0932789i −0.542021 0.840365i \(-0.682341\pi\)
0.664727 + 0.747086i \(0.268548\pi\)
\(830\) 21.6976 132.350i 0.0261417 0.159457i
\(831\) −26.8873 + 50.7149i −0.0323554 + 0.0610288i
\(832\) −16.9327 + 76.9262i −0.0203519 + 0.0924594i
\(833\) 338.370 36.7999i 0.406206 0.0441776i
\(834\) 221.531 + 368.188i 0.265625 + 0.441472i
\(835\) 54.5154 196.347i 0.0652879 0.235146i
\(836\) −22.8041 103.600i −0.0272776 0.123923i
\(837\) −60.7389 180.267i −0.0725674 0.215372i
\(838\) 274.162 + 517.124i 0.327162 + 0.617093i
\(839\) −258.551 + 71.7864i −0.308166 + 0.0855618i −0.418169 0.908369i \(-0.637328\pi\)
0.110003 + 0.993931i \(0.464914\pi\)
\(840\) 99.3759 104.910i 0.118305 0.124893i
\(841\) 108.340 + 660.843i 0.128822 + 0.785782i
\(842\) 1101.03 + 370.982i 1.30764 + 0.440596i
\(843\) −754.278 82.0326i −0.894754 0.0973104i
\(844\) −96.2423 208.024i −0.114031 0.246474i
\(845\) 20.7310 + 382.360i 0.0245337 + 0.452497i
\(846\) −63.0257 47.9109i −0.0744985 0.0566323i
\(847\) −341.195 + 323.197i −0.402827 + 0.381578i
\(848\) −47.5147 28.5886i −0.0560314 0.0337130i
\(849\) −221.339 + 478.417i −0.260706 + 0.563506i
\(850\) 79.6550 + 31.7374i 0.0937118 + 0.0373382i
\(851\) 1291.27 + 1904.48i 1.51736 + 2.23793i
\(852\) 77.9687 114.995i 0.0915125 0.134971i
\(853\) −445.478 1118.07i −0.522248 1.31074i −0.919520 0.393044i \(-0.871422\pi\)
0.397271 0.917701i \(-0.369957\pi\)
\(854\) −15.8445 + 292.235i −0.0185533 + 0.342195i
\(855\) 90.8214 106.923i 0.106224 0.125056i
\(856\) −313.300 266.120i −0.366005 0.310888i
\(857\) −544.777 29.5369i −0.635679 0.0344655i −0.266516 0.963830i \(-0.585873\pi\)
−0.369162 + 0.929365i \(0.620355\pi\)
\(858\) −135.044 + 53.8064i −0.157394 + 0.0627114i
\(859\) 1321.72 + 896.147i 1.53867 + 1.04324i 0.976316 + 0.216348i \(0.0694147\pi\)
0.562354 + 0.826896i \(0.309896\pi\)
\(860\) −687.855 + 466.377i −0.799831 + 0.542299i
\(861\) −158.907 + 398.826i −0.184561 + 0.463212i
\(862\) 208.299 + 96.3696i 0.241647 + 0.111798i
\(863\) −522.423 + 868.274i −0.605357 + 1.00611i 0.390964 + 0.920406i \(0.372142\pi\)
−0.996321 + 0.0857048i \(0.972686\pi\)
\(864\) 20.2142 + 21.3398i 0.0233960 + 0.0246989i
\(865\) −129.041 + 169.751i −0.149180 + 0.196244i
\(866\) −232.491 + 12.6053i −0.268466 + 0.0145558i
\(867\) 96.0501 44.4375i 0.110784 0.0512544i
\(868\) −43.9398 + 404.019i −0.0506218 + 0.465460i
\(869\) 207.675 616.357i 0.238981 0.709272i
\(870\) 168.142 27.5654i 0.193266 0.0316844i
\(871\) −461.971 437.602i −0.530391 0.502413i
\(872\) 28.0414 + 100.996i 0.0321576 + 0.115821i
\(873\) 360.099 190.913i 0.412485 0.218686i
\(874\) 375.772 126.612i 0.429945 0.144865i
\(875\) −626.836 + 137.977i −0.716384 + 0.157688i
\(876\) 194.219 + 53.9247i 0.221711 + 0.0615579i
\(877\) −96.1462 + 57.8493i −0.109631 + 0.0659627i −0.569313 0.822121i \(-0.692791\pi\)
0.459682 + 0.888083i \(0.347963\pi\)
\(878\) −115.352 1060.64i −0.131380 1.20802i
\(879\) −401.054 88.2787i −0.456262 0.100431i
\(880\) 113.199 + 60.0144i 0.128635 + 0.0681982i
\(881\) −1151.77 188.823i −1.30734 0.214328i −0.532471 0.846448i \(-0.678736\pi\)
−0.774870 + 0.632121i \(0.782185\pi\)
\(882\) 46.7051 + 61.4395i 0.0529536 + 0.0696593i
\(883\) 803.812 + 946.320i 0.910319 + 1.07171i 0.997147 + 0.0754868i \(0.0240511\pi\)
−0.0868280 + 0.996223i \(0.527673\pi\)
\(884\) 368.456i 0.416806i
\(885\) 141.170 524.390i 0.159514 0.592532i
\(886\) 38.5673 0.0435297
\(887\) 298.197 253.290i 0.336185 0.285559i −0.463352 0.886174i \(-0.653354\pi\)
0.799538 + 0.600616i \(0.205078\pi\)
\(888\) 281.636 214.094i 0.317157 0.241097i
\(889\) 60.9198 371.594i 0.0685262 0.417991i
\(890\) 158.879 299.678i 0.178516 0.336717i
\(891\) −11.6616 + 52.9790i −0.0130882 + 0.0594602i
\(892\) −654.967 + 71.2319i −0.734268 + 0.0798564i
\(893\) 84.6565 + 140.700i 0.0948001 + 0.157559i
\(894\) −104.205 + 375.314i −0.116561 + 0.419815i
\(895\) −78.6913 357.498i −0.0879232 0.399439i
\(896\) −20.0515 59.5108i −0.0223789 0.0664183i
\(897\) −254.528 480.090i −0.283755 0.535218i
\(898\) 910.593 252.825i 1.01402 0.281542i
\(899\) −329.539 + 347.890i −0.366561 + 0.386974i
\(900\) 3.14541 + 19.1862i 0.00349490 + 0.0213180i
\(901\) −245.814 82.8242i −0.272823 0.0919248i
\(902\) −378.419 41.1556i −0.419534 0.0456270i
\(903\) 315.647 + 682.259i 0.349553 + 0.755547i
\(904\) −21.5639 397.723i −0.0238539 0.439959i
\(905\) 128.959 + 98.0324i 0.142497 + 0.108323i
\(906\) −161.766 + 153.233i −0.178550 + 0.169132i
\(907\) −351.893 211.727i −0.387975 0.233437i 0.308181 0.951328i \(-0.400280\pi\)
−0.696155 + 0.717891i \(0.745107\pi\)
\(908\) −60.9241 + 131.685i −0.0670971 + 0.145028i
\(909\) −114.378 45.5725i −0.125829 0.0501348i
\(910\) 230.493 + 339.952i 0.253289 + 0.373574i
\(911\) −867.736 + 1279.81i −0.952509 + 1.40485i −0.0384521 + 0.999260i \(0.512243\pi\)
−0.914057 + 0.405586i \(0.867068\pi\)
\(912\) −22.5659 56.6362i −0.0247433 0.0621011i
\(913\) 5.82340 107.406i 0.00637832 0.117641i
\(914\) 28.4383 33.4802i 0.0311142 0.0366304i
\(915\) −261.551 222.163i −0.285848 0.242801i
\(916\) 434.563 + 23.5613i 0.474413 + 0.0257219i
\(917\) −320.337 + 127.634i −0.349332 + 0.139187i
\(918\) 113.805 + 77.1617i 0.123971 + 0.0840541i
\(919\) −429.265 + 291.049i −0.467101 + 0.316702i −0.771933 0.635704i \(-0.780710\pi\)
0.304832 + 0.952406i \(0.401400\pi\)
\(920\) −177.270 + 444.914i −0.192685 + 0.483603i
\(921\) 209.205 + 96.7884i 0.227149 + 0.105091i
\(922\) −478.668 + 795.553i −0.519163 + 0.862855i
\(923\) 271.568 + 286.691i 0.294224 + 0.310608i
\(924\) 70.1371 92.2638i 0.0759060 0.0998526i
\(925\) 233.656 12.6684i 0.252601 0.0136956i
\(926\) 655.888 303.446i 0.708302 0.327696i
\(927\) −29.8681 + 274.633i −0.0322202 + 0.296260i
\(928\) 23.6428 70.1694i 0.0254772 0.0756136i
\(929\) 1133.94 185.901i 1.22061 0.200108i 0.483172 0.875526i \(-0.339485\pi\)
0.737436 + 0.675417i \(0.236036\pi\)
\(930\) −345.962 327.713i −0.372003 0.352380i
\(931\) −42.8238 154.238i −0.0459977 0.165669i
\(932\) −515.968 + 273.549i −0.553614 + 0.293508i
\(933\) 264.183 89.0136i 0.283154 0.0954058i
\(934\) 951.743 209.494i 1.01900 0.224298i
\(935\) 577.487 + 160.339i 0.617633 + 0.171485i
\(936\) −71.5869 + 43.0724i −0.0764817 + 0.0460175i
\(937\) −162.199 1491.39i −0.173104 1.59167i −0.682336 0.731039i \(-0.739036\pi\)
0.509231 0.860630i \(-0.329930\pi\)
\(938\) 495.455 + 109.058i 0.528203 + 0.116266i
\(939\) 227.215 + 120.462i 0.241975 + 0.128287i
\(940\) −195.715 32.0858i −0.208207 0.0341339i
\(941\) 126.792 + 166.792i 0.134742 + 0.177250i 0.858516 0.512787i \(-0.171387\pi\)
−0.723774 + 0.690038i \(0.757594\pi\)
\(942\) −101.202 119.145i −0.107433 0.126480i
\(943\) 1422.88i 1.50888i
\(944\) −172.604 160.946i −0.182843 0.170494i
\(945\) 153.271 0.162191
\(946\) −507.998 + 431.498i −0.536996 + 0.456129i
\(947\) 1005.73 764.537i 1.06202 0.807326i 0.0801300 0.996784i \(-0.474466\pi\)
0.981889 + 0.189459i \(0.0606734\pi\)
\(948\) 60.4739 368.875i 0.0637911 0.389108i
\(949\) −268.356 + 506.172i −0.282777 + 0.533374i
\(950\) 8.66878 39.3827i 0.00912503 0.0414554i
\(951\) −973.286 + 105.851i −1.02343 + 0.111305i
\(952\) −151.446 251.705i −0.159082 0.264396i
\(953\) 452.210 1628.71i 0.474512 1.70904i −0.207968 0.978136i \(-0.566685\pi\)
0.682481 0.730904i \(-0.260901\pi\)
\(954\) −12.6437 57.4409i −0.0132534 0.0602106i
\(955\) 267.878 + 795.033i 0.280500 + 0.832495i
\(956\) −57.0196 107.550i −0.0596439 0.112500i
\(957\) 131.672 36.5586i 0.137588 0.0382013i
\(958\) −332.304 + 350.809i −0.346873 + 0.366189i
\(959\) −188.712 1151.09i −0.196780 1.20030i
\(960\) 69.7807 + 23.5119i 0.0726882 + 0.0244915i
\(961\) 376.973 + 40.9982i 0.392271 + 0.0426621i
\(962\) 422.208 + 912.587i 0.438885 + 0.948635i
\(963\) −23.6047 435.364i −0.0245117 0.452091i
\(964\) 658.673 + 500.710i 0.683270 + 0.519409i
\(965\) −460.447 + 436.158i −0.477147 + 0.451978i
\(966\) 371.208 + 223.348i 0.384273 + 0.231209i
\(967\) 444.670 961.138i 0.459845 0.993938i −0.529495 0.848313i \(-0.677619\pi\)
0.989340 0.145625i \(-0.0465193\pi\)
\(968\) −222.473 88.6413i −0.229827 0.0915716i
\(969\) −160.042 236.044i −0.165162 0.243596i
\(970\) 572.989 845.096i 0.590711 0.871233i
\(971\) 591.302 + 1484.06i 0.608962 + 1.52838i 0.832697 + 0.553729i \(0.186795\pi\)
−0.223736 + 0.974650i \(0.571825\pi\)
\(972\) −1.68788 + 31.1312i −0.00173651 + 0.0320280i
\(973\) 630.362 742.120i 0.647854 0.762713i
\(974\) 780.029 + 662.562i 0.800851 + 0.680249i
\(975\) −55.1795 2.99175i −0.0565944 0.00306846i
\(976\) −138.541 + 55.1997i −0.141947 + 0.0565570i
\(977\) 794.493 + 538.679i 0.813196 + 0.551361i 0.895404 0.445254i \(-0.146887\pi\)
−0.0822078 + 0.996615i \(0.526197\pi\)
\(978\) 20.7176 14.0469i 0.0211837 0.0143629i
\(979\) 100.691 252.716i 0.102851 0.258137i
\(980\) 175.467 + 81.1797i 0.179048 + 0.0828364i
\(981\) −57.3166 + 95.2609i −0.0584267 + 0.0971060i
\(982\) 911.362 + 962.113i 0.928067 + 0.979749i
\(983\) 705.149 927.607i 0.717344 0.943649i −0.282534 0.959257i \(-0.591175\pi\)
0.999878 + 0.0156076i \(0.00496827\pi\)
\(984\) −218.446 + 11.8438i −0.221998 + 0.0120364i
\(985\) −649.351 + 300.422i −0.659240 + 0.304997i
\(986\) 37.4488 344.336i 0.0379805 0.349225i
\(987\) −57.2824 + 170.008i −0.0580369 + 0.172247i
\(988\) 171.001 28.0341i 0.173078 0.0283746i
\(989\) −1808.80 1713.38i −1.82891 1.73244i
\(990\) 36.3561 + 130.943i 0.0367233 + 0.132265i
\(991\) −1333.95 + 707.213i −1.34606 + 0.713636i −0.976489 0.215567i \(-0.930840\pi\)
−0.369571 + 0.929203i \(0.620495\pi\)
\(992\) −196.249 + 66.1241i −0.197832 + 0.0666574i
\(993\) 233.644 51.4289i 0.235291 0.0517915i
\(994\) −303.356 84.2264i −0.305187 0.0847348i
\(995\) −1757.85 + 1057.66i −1.76669 + 1.06298i
\(996\) −6.68382 61.4567i −0.00671066 0.0617035i
\(997\) 182.746 + 40.2254i 0.183296 + 0.0403464i 0.305670 0.952138i \(-0.401120\pi\)
−0.122374 + 0.992484i \(0.539051\pi\)
\(998\) −358.535 190.083i −0.359254 0.190464i
\(999\) 370.289 + 60.7058i 0.370660 + 0.0607665i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 354.3.f.a.13.19 560
59.50 odd 58 inner 354.3.f.a.109.19 yes 560
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
354.3.f.a.13.19 560 1.1 even 1 trivial
354.3.f.a.109.19 yes 560 59.50 odd 58 inner