Properties

Label 430.2.x.a.3.11
Level $430$
Weight $2$
Character 430.3
Analytic conductor $3.434$
Analytic rank $0$
Dimension $528$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [430,2,Mod(3,430)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(430, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("430.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 430 = 2 \cdot 5 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 430.x (of order \(84\), degree \(24\), 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: \(3.43356728692\)
Analytic rank: \(0\)
Dimension: \(528\)
Relative dimension: \(22\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 3.11
Character \(\chi\) \(=\) 430.3
Dual form 430.2.x.a.287.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.330279 - 0.943883i) q^{2} +(1.75583 + 2.04031i) q^{3} +(-0.781831 + 0.623490i) q^{4} +(-2.23481 + 0.0750623i) q^{5} +(1.34590 - 2.33117i) q^{6} +(-0.285871 + 1.06689i) q^{7} +(0.846724 + 0.532032i) q^{8} +(-0.632803 + 4.19837i) q^{9} +O(q^{10})\) \(q+(-0.330279 - 0.943883i) q^{2} +(1.75583 + 2.04031i) q^{3} +(-0.781831 + 0.623490i) q^{4} +(-2.23481 + 0.0750623i) q^{5} +(1.34590 - 2.33117i) q^{6} +(-0.285871 + 1.06689i) q^{7} +(0.846724 + 0.532032i) q^{8} +(-0.632803 + 4.19837i) q^{9} +(0.808960 + 2.08461i) q^{10} +(-2.42655 + 3.04280i) q^{11} +(-2.64487 - 0.500437i) q^{12} +(-1.86261 - 0.0696940i) q^{13} +(1.10143 - 0.0825410i) q^{14} +(-4.07709 - 4.42790i) q^{15} +(0.222521 - 0.974928i) q^{16} +(-1.62534 + 3.07530i) q^{17} +(4.17177 - 0.789342i) q^{18} +(2.38127 - 0.358919i) q^{19} +(1.70044 - 1.45207i) q^{20} +(-2.67872 + 1.29000i) q^{21} +(3.67349 + 1.28541i) q^{22} +(0.337714 - 0.774048i) q^{23} +(0.401192 + 2.66174i) q^{24} +(4.98873 - 0.335500i) q^{25} +(0.549398 + 1.78111i) q^{26} +(-2.83943 + 1.78413i) q^{27} +(-0.441690 - 1.01236i) q^{28} +(0.253023 + 3.37635i) q^{29} +(-2.83285 + 5.31074i) q^{30} +(-3.84952 + 2.62456i) q^{31} +(-0.993712 + 0.111964i) q^{32} +(-10.4689 + 0.391717i) q^{33} +(3.43954 + 0.518428i) q^{34} +(0.558785 - 2.40574i) q^{35} +(-2.12290 - 3.67696i) q^{36} +(-0.572813 + 0.153485i) q^{37} +(-1.12526 - 2.12910i) q^{38} +(-3.12823 - 3.92267i) q^{39} +(-1.93220 - 1.12543i) q^{40} +(3.38897 + 1.63204i) q^{41} +(2.10234 + 2.10234i) q^{42} +(4.91012 - 4.34635i) q^{43} -3.89188i q^{44} +(1.09905 - 9.43005i) q^{45} +(-0.842151 - 0.0631105i) q^{46} +(-8.20921 - 0.924956i) q^{47} +(2.37986 - 1.25779i) q^{48} +(5.00565 + 2.89002i) q^{49} +(-1.96435 - 4.59797i) q^{50} +(-9.12839 + 2.08350i) q^{51} +(1.49970 - 1.10683i) q^{52} +(0.383002 + 10.2359i) q^{53} +(2.62182 + 2.09083i) q^{54} +(5.19447 - 6.98221i) q^{55} +(-0.809672 + 0.751266i) q^{56} +(4.91341 + 4.22833i) q^{57} +(3.10332 - 1.35396i) q^{58} +(7.37364 + 1.68299i) q^{59} +(5.94835 + 0.919850i) q^{60} +(5.12976 - 7.52397i) q^{61} +(3.74869 + 2.76666i) q^{62} +(-4.29829 - 1.87532i) q^{63} +(0.433884 + 0.900969i) q^{64} +(4.16781 + 0.0159408i) q^{65} +(3.82738 + 9.75200i) q^{66} +(9.26204 - 12.5496i) q^{67} +(-0.646674 - 3.41775i) q^{68} +(2.17226 - 0.670055i) q^{69} +(-2.45530 + 0.267140i) q^{70} +(1.34902 + 0.529452i) q^{71} +(-2.76948 + 3.21819i) q^{72} +(-0.571226 + 15.2663i) q^{73} +(0.334060 + 0.489976i) q^{74} +(9.44388 + 9.58947i) q^{75} +(-1.63797 + 1.76531i) q^{76} +(-2.55264 - 3.45870i) q^{77} +(-2.66936 + 4.24826i) q^{78} +(6.87792 - 3.97097i) q^{79} +(-0.424111 + 2.19548i) q^{80} +(3.54577 + 1.09372i) q^{81} +(0.421152 - 3.73782i) q^{82} +(-4.53530 + 3.90294i) q^{83} +(1.29000 - 2.67872i) q^{84} +(3.40149 - 6.99471i) q^{85} +(-5.72415 - 3.19907i) q^{86} +(-6.44454 + 6.44454i) q^{87} +(-3.67349 + 1.28541i) q^{88} +(1.27428 - 17.0041i) q^{89} +(-9.26386 + 2.07717i) q^{90} +(0.606822 - 1.96727i) q^{91} +(0.218576 + 0.815736i) q^{92} +(-12.1140 - 3.24594i) q^{93} +(1.83828 + 8.05403i) q^{94} +(-5.29474 + 0.980859i) q^{95} +(-1.97323 - 1.83089i) q^{96} +(0.363316 + 3.22452i) q^{97} +(1.07457 - 5.67926i) q^{98} +(-11.2393 - 12.1130i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 528 q - 4 q^{6} - 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 528 q - 4 q^{6} - 12 q^{7} + 40 q^{13} + 88 q^{16} - 4 q^{17} + 16 q^{21} - 12 q^{23} + 8 q^{25} - 12 q^{28} + 36 q^{30} - 72 q^{31} - 124 q^{33} + 40 q^{35} - 268 q^{36} - 44 q^{38} + 56 q^{41} - 168 q^{43} - 24 q^{46} - 72 q^{47} - 24 q^{50} + 280 q^{51} + 16 q^{52} - 132 q^{53} - 24 q^{55} + 8 q^{56} - 20 q^{57} - 8 q^{60} - 72 q^{61} + 48 q^{62} - 84 q^{65} - 72 q^{66} - 40 q^{67} - 32 q^{68} - 24 q^{71} + 192 q^{73} + 48 q^{76} - 148 q^{77} - 40 q^{78} + 56 q^{82} - 28 q^{83} - 20 q^{86} - 216 q^{87} + 8 q^{90} - 48 q^{91} + 12 q^{92} + 108 q^{93} - 4 q^{95} + 4 q^{96} - 120 q^{97} + 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).

\(n\) \(87\) \(261\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.330279 0.943883i −0.233543 0.667426i
\(3\) 1.75583 + 2.04031i 1.01373 + 1.17797i 0.983955 + 0.178416i \(0.0570974\pi\)
0.0297727 + 0.999557i \(0.490522\pi\)
\(4\) −0.781831 + 0.623490i −0.390916 + 0.311745i
\(5\) −2.23481 + 0.0750623i −0.999436 + 0.0335689i
\(6\) 1.34590 2.33117i 0.549462 0.951695i
\(7\) −0.285871 + 1.06689i −0.108049 + 0.403245i −0.998673 0.0514952i \(-0.983601\pi\)
0.890624 + 0.454740i \(0.150268\pi\)
\(8\) 0.846724 + 0.532032i 0.299362 + 0.188102i
\(9\) −0.632803 + 4.19837i −0.210934 + 1.39946i
\(10\) 0.808960 + 2.08461i 0.255816 + 0.659210i
\(11\) −2.42655 + 3.04280i −0.731632 + 0.917438i −0.998933 0.0461750i \(-0.985297\pi\)
0.267301 + 0.963613i \(0.413868\pi\)
\(12\) −2.64487 0.500437i −0.763509 0.144464i
\(13\) −1.86261 0.0696940i −0.516595 0.0193296i −0.222177 0.975006i \(-0.571316\pi\)
−0.294418 + 0.955677i \(0.595126\pi\)
\(14\) 1.10143 0.0825410i 0.294371 0.0220600i
\(15\) −4.07709 4.42790i −1.05270 1.14328i
\(16\) 0.222521 0.974928i 0.0556302 0.243732i
\(17\) −1.62534 + 3.07530i −0.394204 + 0.745870i −0.998712 0.0507285i \(-0.983846\pi\)
0.604509 + 0.796599i \(0.293369\pi\)
\(18\) 4.17177 0.789342i 0.983297 0.186050i
\(19\) 2.38127 0.358919i 0.546301 0.0823417i 0.129908 0.991526i \(-0.458532\pi\)
0.416394 + 0.909184i \(0.363294\pi\)
\(20\) 1.70044 1.45207i 0.380230 0.324692i
\(21\) −2.67872 + 1.29000i −0.584544 + 0.281502i
\(22\) 3.67349 + 1.28541i 0.783190 + 0.274050i
\(23\) 0.337714 0.774048i 0.0704182 0.161400i −0.877794 0.479039i \(-0.840985\pi\)
0.948212 + 0.317639i \(0.102890\pi\)
\(24\) 0.401192 + 2.66174i 0.0818930 + 0.543325i
\(25\) 4.98873 0.335500i 0.997746 0.0670999i
\(26\) 0.549398 + 1.78111i 0.107746 + 0.349303i
\(27\) −2.83943 + 1.78413i −0.546448 + 0.343356i
\(28\) −0.441690 1.01236i −0.0834715 0.191319i
\(29\) 0.253023 + 3.37635i 0.0469852 + 0.626973i 0.970140 + 0.242545i \(0.0779823\pi\)
−0.923155 + 0.384428i \(0.874399\pi\)
\(30\) −2.83285 + 5.31074i −0.517205 + 0.969604i
\(31\) −3.84952 + 2.62456i −0.691394 + 0.471384i −0.857340 0.514751i \(-0.827885\pi\)
0.165946 + 0.986135i \(0.446932\pi\)
\(32\) −0.993712 + 0.111964i −0.175665 + 0.0197927i
\(33\) −10.4689 + 0.391717i −1.82239 + 0.0681892i
\(34\) 3.43954 + 0.518428i 0.589877 + 0.0889096i
\(35\) 0.558785 2.40574i 0.0944518 0.406645i
\(36\) −2.12290 3.67696i −0.353816 0.612827i
\(37\) −0.572813 + 0.153485i −0.0941699 + 0.0252327i −0.305596 0.952161i \(-0.598856\pi\)
0.211426 + 0.977394i \(0.432189\pi\)
\(38\) −1.12526 2.12910i −0.182542 0.345386i
\(39\) −3.12823 3.92267i −0.500917 0.628130i
\(40\) −1.93220 1.12543i −0.305508 0.177946i
\(41\) 3.38897 + 1.63204i 0.529269 + 0.254882i 0.679380 0.733787i \(-0.262249\pi\)
−0.150111 + 0.988669i \(0.547963\pi\)
\(42\) 2.10234 + 2.10234i 0.324398 + 0.324398i
\(43\) 4.91012 4.34635i 0.748786 0.662812i
\(44\) 3.89188i 0.586724i
\(45\) 1.09905 9.43005i 0.163837 1.40575i
\(46\) −0.842151 0.0631105i −0.124168 0.00930513i
\(47\) −8.20921 0.924956i −1.19744 0.134919i −0.509358 0.860555i \(-0.670117\pi\)
−0.688079 + 0.725636i \(0.741546\pi\)
\(48\) 2.37986 1.25779i 0.343504 0.181547i
\(49\) 5.00565 + 2.89002i 0.715093 + 0.412859i
\(50\) −1.96435 4.59797i −0.277800 0.650251i
\(51\) −9.12839 + 2.08350i −1.27823 + 0.291748i
\(52\) 1.49970 1.10683i 0.207971 0.153490i
\(53\) 0.383002 + 10.2359i 0.0526093 + 1.40601i 0.736504 + 0.676433i \(0.236475\pi\)
−0.683895 + 0.729581i \(0.739715\pi\)
\(54\) 2.62182 + 2.09083i 0.356784 + 0.284526i
\(55\) 5.19447 6.98221i 0.700423 0.941481i
\(56\) −0.809672 + 0.751266i −0.108197 + 0.100392i
\(57\) 4.91341 + 4.22833i 0.650797 + 0.560056i
\(58\) 3.10332 1.35396i 0.407485 0.177784i
\(59\) 7.37364 + 1.68299i 0.959966 + 0.219106i 0.673668 0.739034i \(-0.264718\pi\)
0.286299 + 0.958140i \(0.407575\pi\)
\(60\) 5.94835 + 0.919850i 0.767928 + 0.118752i
\(61\) 5.12976 7.52397i 0.656798 0.963346i −0.342915 0.939367i \(-0.611414\pi\)
0.999712 0.0239789i \(-0.00763346\pi\)
\(62\) 3.74869 + 2.76666i 0.476084 + 0.351366i
\(63\) −4.29829 1.87532i −0.541533 0.236268i
\(64\) 0.433884 + 0.900969i 0.0542355 + 0.112621i
\(65\) 4.16781 + 0.0159408i 0.516953 + 0.00197721i
\(66\) 3.82738 + 9.75200i 0.471118 + 1.20039i
\(67\) 9.26204 12.5496i 1.13154 1.53318i 0.321397 0.946945i \(-0.395848\pi\)
0.810141 0.586235i \(-0.199390\pi\)
\(68\) −0.646674 3.41775i −0.0784207 0.414463i
\(69\) 2.17226 0.670055i 0.261510 0.0806651i
\(70\) −2.45530 + 0.267140i −0.293464 + 0.0319293i
\(71\) 1.34902 + 0.529452i 0.160099 + 0.0628343i 0.444037 0.896008i \(-0.353546\pi\)
−0.283938 + 0.958843i \(0.591641\pi\)
\(72\) −2.76948 + 3.21819i −0.326386 + 0.379267i
\(73\) −0.571226 + 15.2663i −0.0668570 + 1.78679i 0.414285 + 0.910147i \(0.364032\pi\)
−0.481142 + 0.876643i \(0.659778\pi\)
\(74\) 0.334060 + 0.489976i 0.0388337 + 0.0569585i
\(75\) 9.44388 + 9.58947i 1.09048 + 1.10730i
\(76\) −1.63797 + 1.76531i −0.187888 + 0.202495i
\(77\) −2.55264 3.45870i −0.290900 0.394156i
\(78\) −2.66936 + 4.24826i −0.302245 + 0.481020i
\(79\) 6.87792 3.97097i 0.773827 0.446769i −0.0604111 0.998174i \(-0.519241\pi\)
0.834238 + 0.551404i \(0.185908\pi\)
\(80\) −0.424111 + 2.19548i −0.0474171 + 0.245462i
\(81\) 3.54577 + 1.09372i 0.393974 + 0.121525i
\(82\) 0.421152 3.73782i 0.0465084 0.412774i
\(83\) −4.53530 + 3.90294i −0.497814 + 0.428404i −0.865021 0.501736i \(-0.832695\pi\)
0.367207 + 0.930139i \(0.380314\pi\)
\(84\) 1.29000 2.67872i 0.140751 0.292272i
\(85\) 3.40149 6.99471i 0.368944 0.758683i
\(86\) −5.72415 3.19907i −0.617251 0.344965i
\(87\) −6.44454 + 6.44454i −0.690928 + 0.690928i
\(88\) −3.67349 + 1.28541i −0.391595 + 0.137025i
\(89\) 1.27428 17.0041i 0.135073 1.80243i −0.359348 0.933204i \(-0.617001\pi\)
0.494421 0.869223i \(-0.335380\pi\)
\(90\) −9.26386 + 2.07717i −0.976497 + 0.218953i
\(91\) 0.606822 1.96727i 0.0636123 0.206226i
\(92\) 0.218576 + 0.815736i 0.0227881 + 0.0850464i
\(93\) −12.1140 3.24594i −1.25616 0.336588i
\(94\) 1.83828 + 8.05403i 0.189604 + 0.830710i
\(95\) −5.29474 + 0.980859i −0.543229 + 0.100634i
\(96\) −1.97323 1.83089i −0.201392 0.186864i
\(97\) 0.363316 + 3.22452i 0.0368891 + 0.327400i 0.998580 + 0.0532652i \(0.0169629\pi\)
−0.961691 + 0.274135i \(0.911609\pi\)
\(98\) 1.07457 5.67926i 0.108548 0.573692i
\(99\) −11.2393 12.1130i −1.12959 1.21741i
\(100\) −3.69117 + 3.37273i −0.369117 + 0.337273i
\(101\) 5.76573 14.6908i 0.573711 1.46179i −0.289613 0.957144i \(-0.593527\pi\)
0.863325 0.504649i \(-0.168378\pi\)
\(102\) 4.98149 + 7.92800i 0.493241 + 0.784989i
\(103\) −9.00924 4.76152i −0.887707 0.469167i −0.0397364 0.999210i \(-0.512652\pi\)
−0.847971 + 0.530043i \(0.822176\pi\)
\(104\) −1.54004 1.04998i −0.151013 0.102959i
\(105\) 5.88959 3.08398i 0.574765 0.300966i
\(106\) 9.53503 3.74222i 0.926124 0.363477i
\(107\) −4.43202 + 12.6660i −0.428460 + 1.22447i 0.504161 + 0.863610i \(0.331802\pi\)
−0.932621 + 0.360858i \(0.882484\pi\)
\(108\) 1.10757 3.16524i 0.106576 0.304576i
\(109\) −0.533411 + 0.209348i −0.0510915 + 0.0200519i −0.390749 0.920497i \(-0.627784\pi\)
0.339658 + 0.940549i \(0.389689\pi\)
\(110\) −8.30602 2.59690i −0.791948 0.247605i
\(111\) −1.31892 0.899223i −0.125186 0.0853504i
\(112\) 0.976525 + 0.516109i 0.0922729 + 0.0487677i
\(113\) −0.907137 1.44370i −0.0853363 0.135812i 0.801329 0.598224i \(-0.204127\pi\)
−0.886665 + 0.462412i \(0.846984\pi\)
\(114\) 2.36825 6.03421i 0.221807 0.565156i
\(115\) −0.696623 + 1.75520i −0.0649605 + 0.163673i
\(116\) −2.30294 2.48198i −0.213823 0.230446i
\(117\) 1.47127 7.77583i 0.136019 0.718875i
\(118\) −0.846817 7.51571i −0.0779559 0.691877i
\(119\) −2.81636 2.61320i −0.258175 0.239552i
\(120\) −1.09638 5.91835i −0.100086 0.540269i
\(121\) −0.922742 4.04280i −0.0838857 0.367527i
\(122\) −8.79600 2.35688i −0.796352 0.213382i
\(123\) 2.62058 + 9.78014i 0.236290 + 0.881845i
\(124\) 1.37329 4.45210i 0.123325 0.399810i
\(125\) −11.1237 + 1.12424i −0.994931 + 0.100555i
\(126\) −0.350452 + 4.67646i −0.0312208 + 0.416612i
\(127\) −1.08681 + 0.380292i −0.0964391 + 0.0337455i −0.378067 0.925778i \(-0.623411\pi\)
0.281628 + 0.959524i \(0.409126\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 17.4892 + 2.38673i 1.53984 + 0.210139i
\(130\) −1.36149 3.93919i −0.119411 0.345490i
\(131\) 3.72748 7.74019i 0.325671 0.676263i −0.672276 0.740300i \(-0.734683\pi\)
0.997948 + 0.0640372i \(0.0203976\pi\)
\(132\) 7.94065 6.83348i 0.691145 0.594778i
\(133\) −0.297812 + 2.64315i −0.0258235 + 0.229190i
\(134\) −14.9044 4.59741i −1.28755 0.397156i
\(135\) 6.21166 4.20032i 0.534614 0.361506i
\(136\) −3.01238 + 1.73920i −0.258309 + 0.149135i
\(137\) −4.82830 + 7.68420i −0.412510 + 0.656505i −0.986762 0.162173i \(-0.948150\pi\)
0.574253 + 0.818678i \(0.305293\pi\)
\(138\) −1.34991 1.82906i −0.114912 0.155700i
\(139\) −2.65005 + 2.85607i −0.224774 + 0.242249i −0.835363 0.549699i \(-0.814742\pi\)
0.610589 + 0.791948i \(0.290933\pi\)
\(140\) 1.06308 + 2.22928i 0.0898468 + 0.188409i
\(141\) −12.5268 18.3734i −1.05494 1.54732i
\(142\) 0.0541873 1.44818i 0.00454729 0.121529i
\(143\) 4.73178 5.49843i 0.395691 0.459802i
\(144\) 3.95230 + 1.55116i 0.329358 + 0.129264i
\(145\) −0.818894 7.52651i −0.0680055 0.625043i
\(146\) 14.5983 4.50298i 1.20816 0.372669i
\(147\) 2.89254 + 15.2875i 0.238573 + 1.26089i
\(148\) 0.352147 0.477142i 0.0289463 0.0392209i
\(149\) 5.83287 + 14.8619i 0.477847 + 1.21753i 0.943145 + 0.332381i \(0.107852\pi\)
−0.465298 + 0.885154i \(0.654053\pi\)
\(150\) 5.93223 12.0811i 0.484365 0.986419i
\(151\) −1.76509 3.66524i −0.143641 0.298273i 0.816720 0.577035i \(-0.195790\pi\)
−0.960360 + 0.278762i \(0.910076\pi\)
\(152\) 2.20724 + 0.963008i 0.179031 + 0.0781102i
\(153\) −11.8827 8.76986i −0.960662 0.709001i
\(154\) −2.42153 + 3.55173i −0.195132 + 0.286207i
\(155\) 8.40592 6.15433i 0.675180 0.494328i
\(156\) 4.89149 + 1.11645i 0.391633 + 0.0893876i
\(157\) 21.5715 9.41155i 1.72159 0.751123i 0.723439 0.690388i \(-0.242560\pi\)
0.998154 0.0607349i \(-0.0193444\pi\)
\(158\) −6.01977 5.18043i −0.478907 0.412133i
\(159\) −20.2120 + 18.7540i −1.60291 + 1.48729i
\(160\) 2.21235 0.324809i 0.174902 0.0256784i
\(161\) 0.729279 + 0.581580i 0.0574752 + 0.0458350i
\(162\) −0.138745 3.70803i −0.0109008 0.291330i
\(163\) −15.6236 + 11.5308i −1.22374 + 0.903158i −0.997483 0.0709100i \(-0.977410\pi\)
−0.226254 + 0.974068i \(0.572648\pi\)
\(164\) −3.66717 + 0.837007i −0.286358 + 0.0653593i
\(165\) 23.3665 1.66123i 1.81908 0.129326i
\(166\) 5.18184 + 2.99173i 0.402189 + 0.232204i
\(167\) −12.1003 + 6.39519i −0.936349 + 0.494875i −0.864552 0.502544i \(-0.832397\pi\)
−0.0717977 + 0.997419i \(0.522874\pi\)
\(168\) −2.95446 0.332888i −0.227941 0.0256828i
\(169\) −9.49919 0.711866i −0.730707 0.0547589i
\(170\) −7.72563 0.900406i −0.592529 0.0690580i
\(171\) 10.2246i 0.781894i
\(172\) −1.12898 + 6.45952i −0.0860842 + 0.492534i
\(173\) −12.6919 12.6919i −0.964946 0.964946i 0.0344606 0.999406i \(-0.489029\pi\)
−0.999406 + 0.0344606i \(0.989029\pi\)
\(174\) 8.21139 + 3.95440i 0.622504 + 0.299782i
\(175\) −1.06820 + 5.41832i −0.0807480 + 0.409586i
\(176\) 2.42655 + 3.04280i 0.182908 + 0.229360i
\(177\) 9.51304 + 17.9995i 0.715044 + 1.35293i
\(178\) −16.4707 + 4.41331i −1.23453 + 0.330792i
\(179\) 7.70570 + 13.3467i 0.575951 + 0.997577i 0.995938 + 0.0900462i \(0.0287015\pi\)
−0.419987 + 0.907530i \(0.637965\pi\)
\(180\) 5.02027 + 8.05796i 0.374189 + 0.600605i
\(181\) 16.9302 + 2.55181i 1.25841 + 0.189675i 0.744181 0.667978i \(-0.232840\pi\)
0.514229 + 0.857653i \(0.328078\pi\)
\(182\) −2.05729 + 0.0769785i −0.152497 + 0.00570603i
\(183\) 24.3582 2.74451i 1.80061 0.202880i
\(184\) 0.697769 0.475731i 0.0514402 0.0350713i
\(185\) 1.26861 0.386006i 0.0932698 0.0283797i
\(186\) 0.937215 + 12.5063i 0.0687199 + 0.917004i
\(187\) −5.41354 12.4080i −0.395877 0.907360i
\(188\) 6.99492 4.39520i 0.510157 0.320553i
\(189\) −1.09175 3.53938i −0.0794134 0.257452i
\(190\) 2.67456 + 4.67366i 0.194033 + 0.339063i
\(191\) −0.257504 1.70843i −0.0186323 0.123617i 0.977581 0.210560i \(-0.0675286\pi\)
−0.996213 + 0.0869421i \(0.972290\pi\)
\(192\) −1.07643 + 2.46720i −0.0776846 + 0.178055i
\(193\) −5.54434 1.94005i −0.399090 0.139648i 0.123269 0.992373i \(-0.460662\pi\)
−0.522359 + 0.852726i \(0.674948\pi\)
\(194\) 2.92357 1.40792i 0.209900 0.101083i
\(195\) 7.28543 + 8.53160i 0.521720 + 0.610961i
\(196\) −5.71547 + 0.861469i −0.408248 + 0.0615335i
\(197\) −0.716935 + 0.135651i −0.0510795 + 0.00966476i −0.211389 0.977402i \(-0.567799\pi\)
0.160309 + 0.987067i \(0.448751\pi\)
\(198\) −7.72121 + 14.6092i −0.548723 + 1.03823i
\(199\) −5.48367 + 24.0255i −0.388727 + 1.70313i 0.280321 + 0.959906i \(0.409559\pi\)
−0.669048 + 0.743219i \(0.733298\pi\)
\(200\) 4.40258 + 2.37009i 0.311309 + 0.167591i
\(201\) 41.8676 3.13755i 2.95312 0.221305i
\(202\) −15.7707 0.590099i −1.10963 0.0415192i
\(203\) −3.67452 0.695257i −0.257901 0.0487974i
\(204\) 5.83782 7.32040i 0.408729 0.512531i
\(205\) −7.69621 3.39292i −0.537526 0.236972i
\(206\) −1.51876 + 10.0763i −0.105817 + 0.702049i
\(207\) 3.03603 + 1.90767i 0.211019 + 0.132592i
\(208\) −0.482416 + 1.80040i −0.0334496 + 0.124835i
\(209\) −4.68616 + 8.11666i −0.324148 + 0.561441i
\(210\) −4.85613 4.54051i −0.335105 0.313325i
\(211\) −4.08391 + 3.25681i −0.281148 + 0.224208i −0.753903 0.656986i \(-0.771831\pi\)
0.472755 + 0.881194i \(0.343260\pi\)
\(212\) −6.68144 7.76398i −0.458883 0.533232i
\(213\) 1.28840 + 3.68205i 0.0882799 + 0.252290i
\(214\) 13.4190 0.917306
\(215\) −10.6469 + 10.0818i −0.726114 + 0.687574i
\(216\) −3.35343 −0.228172
\(217\) −1.69964 4.85728i −0.115379 0.329734i
\(218\) 0.373775 + 0.434334i 0.0253152 + 0.0294168i
\(219\) −32.1510 + 25.6396i −2.17257 + 1.73256i
\(220\) 0.292134 + 8.69761i 0.0196957 + 0.586393i
\(221\) 3.24171 5.61481i 0.218061 0.377693i
\(222\) −0.413150 + 1.54190i −0.0277288 + 0.103485i
\(223\) 20.9932 + 13.1909i 1.40581 + 0.883328i 0.999537 0.0304239i \(-0.00968571\pi\)
0.406272 + 0.913752i \(0.366829\pi\)
\(224\) 0.164620 1.09219i 0.0109992 0.0729747i
\(225\) −1.74833 + 21.1569i −0.116555 + 1.41046i
\(226\) −1.06308 + 1.33306i −0.0707148 + 0.0886735i
\(227\) −1.88651 0.356948i −0.125212 0.0236915i 0.122928 0.992416i \(-0.460772\pi\)
−0.248140 + 0.968724i \(0.579819\pi\)
\(228\) −6.47778 0.242381i −0.429001 0.0160521i
\(229\) 29.1483 2.18436i 1.92617 0.144347i 0.943705 0.330787i \(-0.107314\pi\)
0.982466 + 0.186441i \(0.0596952\pi\)
\(230\) 1.88678 + 0.0778260i 0.124411 + 0.00513169i
\(231\) 2.57483 11.2811i 0.169411 0.742239i
\(232\) −1.58209 + 2.99346i −0.103869 + 0.196530i
\(233\) −18.7342 + 3.54469i −1.22732 + 0.232221i −0.758852 0.651263i \(-0.774240\pi\)
−0.468463 + 0.883483i \(0.655192\pi\)
\(234\) −7.82540 + 1.17949i −0.511562 + 0.0771056i
\(235\) 18.4154 + 1.45090i 1.20129 + 0.0946461i
\(236\) −6.81427 + 3.28158i −0.443571 + 0.213613i
\(237\) 20.1785 + 7.06075i 1.31073 + 0.458645i
\(238\) −1.53637 + 3.52140i −0.0995881 + 0.228258i
\(239\) −0.946006 6.27634i −0.0611921 0.405983i −0.998367 0.0571233i \(-0.981807\pi\)
0.937175 0.348859i \(-0.113431\pi\)
\(240\) −5.22412 + 2.98957i −0.337216 + 0.192976i
\(241\) −2.61661 8.48283i −0.168550 0.546427i 0.831407 0.555664i \(-0.187536\pi\)
−0.999957 + 0.00923708i \(0.997060\pi\)
\(242\) −3.51117 + 2.20621i −0.225706 + 0.141821i
\(243\) 8.01725 + 18.3757i 0.514307 + 1.17880i
\(244\) 0.680514 + 9.08083i 0.0435654 + 0.581340i
\(245\) −11.4036 6.08289i −0.728550 0.388622i
\(246\) 8.36579 5.70370i 0.533383 0.363654i
\(247\) −4.46040 + 0.502566i −0.283808 + 0.0319775i
\(248\) −4.65583 + 0.174209i −0.295645 + 0.0110623i
\(249\) −15.9264 2.40052i −1.00930 0.152127i
\(250\) 4.73507 + 10.1281i 0.299472 + 0.640559i
\(251\) 6.06769 + 10.5096i 0.382989 + 0.663357i 0.991488 0.130198i \(-0.0415613\pi\)
−0.608499 + 0.793555i \(0.708228\pi\)
\(252\) 4.52978 1.21375i 0.285349 0.0764591i
\(253\) 1.53579 + 2.90586i 0.0965544 + 0.182690i
\(254\) 0.717903 + 0.900222i 0.0450453 + 0.0564850i
\(255\) 20.2438 5.34141i 1.26772 0.334492i
\(256\) −0.900969 0.433884i −0.0563106 0.0271177i
\(257\) −2.24414 2.24414i −0.139986 0.139986i 0.633641 0.773627i \(-0.281560\pi\)
−0.773627 + 0.633641i \(0.781560\pi\)
\(258\) −3.52353 17.2961i −0.219365 1.07681i
\(259\) 0.655003i 0.0406999i
\(260\) −3.26846 + 2.58612i −0.202701 + 0.160384i
\(261\) −14.3353 1.07428i −0.887333 0.0664964i
\(262\) −8.53694 0.961882i −0.527414 0.0594253i
\(263\) 12.2593 6.47924i 0.755942 0.399527i −0.0444442 0.999012i \(-0.514152\pi\)
0.800386 + 0.599485i \(0.204628\pi\)
\(264\) −9.07264 5.23809i −0.558382 0.322382i
\(265\) −1.62427 22.8466i −0.0997780 1.40346i
\(266\) 2.59319 0.591878i 0.158999 0.0362904i
\(267\) 36.9309 27.2563i 2.26014 1.66806i
\(268\) 0.583205 + 15.5865i 0.0356249 + 0.952095i
\(269\) 6.85402 + 5.46590i 0.417897 + 0.333262i 0.809759 0.586762i \(-0.199598\pi\)
−0.391862 + 0.920024i \(0.628169\pi\)
\(270\) −6.01620 4.47580i −0.366134 0.272388i
\(271\) −6.08027 + 5.64166i −0.369350 + 0.342707i −0.842910 0.538055i \(-0.819159\pi\)
0.473560 + 0.880762i \(0.342969\pi\)
\(272\) 2.63652 + 2.26891i 0.159863 + 0.137573i
\(273\) 5.07931 2.21608i 0.307414 0.134123i
\(274\) 8.84767 + 2.01942i 0.534507 + 0.121998i
\(275\) −11.0846 + 15.9938i −0.668424 + 0.964463i
\(276\) −1.28057 + 1.87825i −0.0770814 + 0.113058i
\(277\) −1.96679 1.45156i −0.118173 0.0872156i 0.533130 0.846033i \(-0.321016\pi\)
−0.651303 + 0.758818i \(0.725777\pi\)
\(278\) 3.57106 + 1.55804i 0.214178 + 0.0934448i
\(279\) −8.58288 17.8225i −0.513843 1.06701i
\(280\) 1.75307 1.73971i 0.104766 0.103968i
\(281\) −5.91785 15.0784i −0.353029 0.899504i −0.991529 0.129882i \(-0.958540\pi\)
0.638500 0.769622i \(-0.279555\pi\)
\(282\) −13.2050 + 17.8922i −0.786347 + 1.06546i
\(283\) −5.29219 27.9699i −0.314588 1.66264i −0.681074 0.732215i \(-0.738487\pi\)
0.366485 0.930424i \(-0.380561\pi\)
\(284\) −1.38481 + 0.427159i −0.0821736 + 0.0253472i
\(285\) −11.2979 9.08069i −0.669231 0.537894i
\(286\) −6.75269 2.65023i −0.399295 0.156712i
\(287\) −2.71002 + 3.14909i −0.159967 + 0.185885i
\(288\) 0.158755 4.24282i 0.00935474 0.250011i
\(289\) 2.76071 + 4.04921i 0.162395 + 0.238189i
\(290\) −6.83369 + 3.25879i −0.401288 + 0.191363i
\(291\) −5.94109 + 6.40297i −0.348273 + 0.375349i
\(292\) −9.07181 12.2919i −0.530887 0.719327i
\(293\) 12.6894 20.1951i 0.741322 1.17981i −0.236756 0.971569i \(-0.576084\pi\)
0.978078 0.208238i \(-0.0667730\pi\)
\(294\) 13.4742 7.77935i 0.785833 0.453701i
\(295\) −16.6050 3.20767i −0.966780 0.186758i
\(296\) −0.566673 0.174796i −0.0329372 0.0101598i
\(297\) 1.46127 12.9691i 0.0847912 0.752543i
\(298\) 12.1014 10.4141i 0.701017 0.603274i
\(299\) −0.682975 + 1.41821i −0.0394975 + 0.0820174i
\(300\) −13.3625 1.60919i −0.771482 0.0929067i
\(301\) 3.23340 + 6.48104i 0.186370 + 0.373561i
\(302\) −2.87659 + 2.87659i −0.165529 + 0.165529i
\(303\) 40.0975 14.0307i 2.30354 0.806043i
\(304\) 0.179963 2.40144i 0.0103216 0.137732i
\(305\) −10.8993 + 17.1997i −0.624089 + 0.984851i
\(306\) −4.35310 + 14.1124i −0.248850 + 0.806753i
\(307\) 1.06842 + 3.98741i 0.0609782 + 0.227574i 0.989689 0.143230i \(-0.0457489\pi\)
−0.928711 + 0.370804i \(0.879082\pi\)
\(308\) 4.15220 + 1.11258i 0.236594 + 0.0633950i
\(309\) −6.10370 26.7421i −0.347227 1.52130i
\(310\) −8.58527 5.90157i −0.487611 0.335186i
\(311\) −17.9593 16.6638i −1.01838 0.944917i −0.0198861 0.999802i \(-0.506330\pi\)
−0.998493 + 0.0548849i \(0.982521\pi\)
\(312\) −0.561758 4.98574i −0.0318033 0.282262i
\(313\) −5.55767 + 29.3730i −0.314138 + 1.66026i 0.368594 + 0.929591i \(0.379839\pi\)
−0.682732 + 0.730669i \(0.739208\pi\)
\(314\) −16.0080 17.2525i −0.903385 0.973617i
\(315\) 9.74661 + 3.86835i 0.549159 + 0.217957i
\(316\) −2.90152 + 7.39295i −0.163223 + 0.415886i
\(317\) −1.95350 3.10898i −0.109720 0.174618i 0.787351 0.616505i \(-0.211452\pi\)
−0.897071 + 0.441887i \(0.854309\pi\)
\(318\) 24.3772 + 12.8837i 1.36700 + 0.722482i
\(319\) −10.8875 7.42300i −0.609585 0.415608i
\(320\) −1.03728 1.98092i −0.0579855 0.110737i
\(321\) −33.6244 + 13.1966i −1.87673 + 0.736563i
\(322\) 0.308079 0.880438i 0.0171685 0.0490649i
\(323\) −2.76660 + 7.90649i −0.153938 + 0.439929i
\(324\) −3.45412 + 1.35564i −0.191895 + 0.0753134i
\(325\) −9.31544 + 0.277221i −0.516728 + 0.0153774i
\(326\) 16.0438 + 10.9385i 0.888586 + 0.605828i
\(327\) −1.36371 0.720743i −0.0754135 0.0398572i
\(328\) 2.00123 + 3.18493i 0.110499 + 0.175858i
\(329\) 3.33360 8.49388i 0.183787 0.468283i
\(330\) −9.28546 21.5066i −0.511148 1.18390i
\(331\) −0.809504 0.872438i −0.0444944 0.0479535i 0.710412 0.703786i \(-0.248508\pi\)
−0.754907 + 0.655832i \(0.772318\pi\)
\(332\) 1.11240 5.87916i 0.0610507 0.322661i
\(333\) −0.281908 2.50201i −0.0154485 0.137109i
\(334\) 10.0328 + 9.30907i 0.548970 + 0.509370i
\(335\) −19.7569 + 28.7412i −1.07943 + 1.57030i
\(336\) 0.661589 + 2.89861i 0.0360926 + 0.158132i
\(337\) 14.0046 + 3.75251i 0.762877 + 0.204412i 0.619222 0.785216i \(-0.287448\pi\)
0.143654 + 0.989628i \(0.454115\pi\)
\(338\) 2.46547 + 9.20124i 0.134104 + 0.500482i
\(339\) 1.35282 4.38573i 0.0734750 0.238200i
\(340\) 1.70174 + 7.58948i 0.0922896 + 0.411597i
\(341\) 1.35505 18.0819i 0.0733802 0.979191i
\(342\) 9.65082 3.37697i 0.521856 0.182605i
\(343\) −9.98140 + 9.98140i −0.538945 + 0.538945i
\(344\) 6.46991 1.06782i 0.348834 0.0575728i
\(345\) −4.80430 + 1.66050i −0.258655 + 0.0893983i
\(346\) −7.78779 + 16.1715i −0.418674 + 0.869386i
\(347\) 7.26579 6.25272i 0.390048 0.335663i −0.435302 0.900284i \(-0.643359\pi\)
0.825350 + 0.564621i \(0.190978\pi\)
\(348\) 1.02044 9.05665i 0.0547013 0.485488i
\(349\) −17.8794 5.51508i −0.957065 0.295215i −0.223400 0.974727i \(-0.571716\pi\)
−0.733665 + 0.679511i \(0.762192\pi\)
\(350\) 5.46706 0.781306i 0.292227 0.0417625i
\(351\) 5.41309 3.12525i 0.288929 0.166813i
\(352\) 2.07061 3.29535i 0.110364 0.175643i
\(353\) −1.02284 1.38590i −0.0544403 0.0737639i 0.776532 0.630078i \(-0.216977\pi\)
−0.830972 + 0.556314i \(0.812215\pi\)
\(354\) 13.8475 14.9241i 0.735987 0.793205i
\(355\) −3.05454 1.08196i −0.162118 0.0574246i
\(356\) 9.60559 + 14.0888i 0.509095 + 0.746705i
\(357\) 0.386692 10.3346i 0.0204659 0.546963i
\(358\) 10.0527 11.6814i 0.531300 0.617381i
\(359\) 4.23798 + 1.66328i 0.223672 + 0.0877848i 0.474531 0.880239i \(-0.342618\pi\)
−0.250859 + 0.968024i \(0.580713\pi\)
\(360\) 5.94768 7.39992i 0.313471 0.390010i
\(361\) −12.6143 + 3.89098i −0.663908 + 0.204788i
\(362\) −3.18307 16.8229i −0.167298 0.884194i
\(363\) 6.62838 8.98114i 0.347900 0.471387i
\(364\) 0.752140 + 1.91642i 0.0394228 + 0.100448i
\(365\) 0.130654 34.1602i 0.00683874 1.78803i
\(366\) −10.6355 22.0848i −0.555926 1.15439i
\(367\) −3.92788 1.71372i −0.205034 0.0894553i 0.294866 0.955539i \(-0.404725\pi\)
−0.499900 + 0.866083i \(0.666630\pi\)
\(368\) −0.679493 0.501488i −0.0354210 0.0261419i
\(369\) −8.99647 + 13.1954i −0.468338 + 0.686925i
\(370\) −0.783338 1.06993i −0.0407238 0.0556228i
\(371\) −11.0301 2.51754i −0.572653 0.130704i
\(372\) 11.4949 5.01518i 0.595983 0.260025i
\(373\) 19.9313 + 17.1522i 1.03200 + 0.888110i 0.993802 0.111161i \(-0.0354568\pi\)
0.0381995 + 0.999270i \(0.487838\pi\)
\(374\) −9.92369 + 9.20784i −0.513142 + 0.476126i
\(375\) −21.8251 20.7218i −1.12704 1.07007i
\(376\) −6.45883 5.15075i −0.333089 0.265629i
\(377\) −0.235971 6.30647i −0.0121531 0.324800i
\(378\) −2.98018 + 2.19947i −0.153284 + 0.113129i
\(379\) −17.4325 + 3.97885i −0.895447 + 0.204380i −0.645392 0.763852i \(-0.723306\pi\)
−0.250055 + 0.968232i \(0.580449\pi\)
\(380\) 3.52804 4.06808i 0.180985 0.208688i
\(381\) −2.68417 1.54971i −0.137514 0.0793939i
\(382\) −1.52751 + 0.807311i −0.0781541 + 0.0413056i
\(383\) −25.2570 2.84578i −1.29057 0.145413i −0.560140 0.828398i \(-0.689253\pi\)
−0.730432 + 0.682985i \(0.760681\pi\)
\(384\) 2.68427 + 0.201159i 0.136981 + 0.0102653i
\(385\) 5.96428 + 7.53793i 0.303968 + 0.384168i
\(386\) 5.87397i 0.298977i
\(387\) 15.1404 + 23.3649i 0.769632 + 1.18770i
\(388\) −2.29450 2.29450i −0.116486 0.116486i
\(389\) 26.8727 + 12.9412i 1.36250 + 0.656146i 0.965193 0.261539i \(-0.0842301\pi\)
0.397308 + 0.917685i \(0.369944\pi\)
\(390\) 5.64661 9.69440i 0.285927 0.490895i
\(391\) 1.83153 + 2.29667i 0.0926244 + 0.116147i
\(392\) 2.70083 + 5.11021i 0.136412 + 0.258105i
\(393\) 22.3372 5.98523i 1.12676 0.301915i
\(394\) 0.364828 + 0.631900i 0.0183798 + 0.0318347i
\(395\) −15.0728 + 9.39063i −0.758393 + 0.472494i
\(396\) 16.3396 + 2.46279i 0.821095 + 0.123760i
\(397\) −3.04547 + 0.113953i −0.152848 + 0.00571916i −0.113706 0.993514i \(-0.536272\pi\)
−0.0391422 + 0.999234i \(0.512463\pi\)
\(398\) 24.4884 2.75918i 1.22749 0.138305i
\(399\) −5.91575 + 4.03329i −0.296158 + 0.201917i
\(400\) 0.783009 4.93831i 0.0391505 0.246915i
\(401\) 1.36336 + 18.1928i 0.0680831 + 0.908505i 0.921775 + 0.387726i \(0.126739\pi\)
−0.853691 + 0.520779i \(0.825642\pi\)
\(402\) −16.7895 38.4819i −0.837383 1.91930i
\(403\) 7.35306 4.62024i 0.366282 0.230150i
\(404\) 4.65176 + 15.0806i 0.231434 + 0.750289i
\(405\) −8.00621 2.17811i −0.397832 0.108231i
\(406\) 0.557376 + 3.69795i 0.0276621 + 0.183526i
\(407\) 0.922936 2.11539i 0.0457483 0.104856i
\(408\) −8.83771 3.09245i −0.437532 0.153099i
\(409\) 7.14164 3.43923i 0.353131 0.170059i −0.248905 0.968528i \(-0.580071\pi\)
0.602036 + 0.798469i \(0.294356\pi\)
\(410\) −0.660623 + 8.38493i −0.0326259 + 0.414102i
\(411\) −24.1558 + 3.64090i −1.19152 + 0.179592i
\(412\) 10.0125 1.89446i 0.493279 0.0933334i
\(413\) −3.90347 + 7.38572i −0.192077 + 0.363428i
\(414\) 0.797876 3.49573i 0.0392135 0.171806i
\(415\) 9.84256 9.06275i 0.483152 0.444873i
\(416\) 1.85870 0.139290i 0.0911303 0.00682928i
\(417\) −10.4803 0.392145i −0.513223 0.0192034i
\(418\) 9.20892 + 1.74242i 0.450423 + 0.0852247i
\(419\) 9.28774 11.6465i 0.453736 0.568967i −0.501370 0.865233i \(-0.667170\pi\)
0.955105 + 0.296267i \(0.0957417\pi\)
\(420\) −2.68184 + 6.08325i −0.130860 + 0.296832i
\(421\) −2.82560 + 18.7466i −0.137711 + 0.913654i 0.808125 + 0.589010i \(0.200482\pi\)
−0.945837 + 0.324643i \(0.894756\pi\)
\(422\) 4.42288 + 2.77908i 0.215302 + 0.135283i
\(423\) 9.07812 33.8800i 0.441393 1.64730i
\(424\) −5.12155 + 8.87078i −0.248724 + 0.430803i
\(425\) −7.07664 + 15.8872i −0.343268 + 0.770640i
\(426\) 3.04989 2.43220i 0.147768 0.117841i
\(427\) 6.56077 + 7.62375i 0.317498 + 0.368939i
\(428\) −4.43202 12.6660i −0.214230 0.612234i
\(429\) 19.5267 0.942758
\(430\) 13.0325 + 6.71964i 0.628484 + 0.324050i
\(431\) 5.64449 0.271886 0.135943 0.990717i \(-0.456594\pi\)
0.135943 + 0.990717i \(0.456594\pi\)
\(432\) 1.10757 + 3.16524i 0.0532878 + 0.152288i
\(433\) −12.5175 14.5455i −0.601550 0.699014i 0.371806 0.928310i \(-0.378739\pi\)
−0.973357 + 0.229296i \(0.926358\pi\)
\(434\) −4.02335 + 3.20852i −0.193127 + 0.154014i
\(435\) 13.9186 14.8861i 0.667344 0.713732i
\(436\) 0.286511 0.496251i 0.0137214 0.0237661i
\(437\) 0.526368 1.96443i 0.0251796 0.0939715i
\(438\) 34.8196 + 21.8786i 1.66374 + 1.04540i
\(439\) 5.38323 35.7154i 0.256928 1.70460i −0.372902 0.927871i \(-0.621637\pi\)
0.629830 0.776733i \(-0.283125\pi\)
\(440\) 8.11305 3.14838i 0.386774 0.150093i
\(441\) −15.3009 + 19.1868i −0.728617 + 0.913656i
\(442\) −6.37040 1.20534i −0.303009 0.0573324i
\(443\) 34.2721 + 1.28237i 1.62832 + 0.0609273i 0.835839 0.548974i \(-0.184981\pi\)
0.792477 + 0.609901i \(0.208791\pi\)
\(444\) 1.59183 0.119291i 0.0755448 0.00566130i
\(445\) −1.57140 + 38.0965i −0.0744916 + 1.80594i
\(446\) 5.51706 24.1718i 0.261240 1.14457i
\(447\) −20.0814 + 37.9958i −0.949816 + 1.79714i
\(448\) −1.08527 + 0.205343i −0.0512740 + 0.00970157i
\(449\) 17.4442 2.62929i 0.823243 0.124084i 0.276106 0.961127i \(-0.410956\pi\)
0.547137 + 0.837043i \(0.315718\pi\)
\(450\) 20.5470 5.33744i 0.968597 0.251610i
\(451\) −13.1895 + 6.35172i −0.621069 + 0.299091i
\(452\) 1.60936 + 0.563140i 0.0756980 + 0.0264879i
\(453\) 4.37904 10.0369i 0.205745 0.471573i
\(454\) 0.286159 + 1.89854i 0.0134301 + 0.0891030i
\(455\) −1.20846 + 4.44202i −0.0566537 + 0.208245i
\(456\) 1.91069 + 6.19432i 0.0894765 + 0.290076i
\(457\) 31.4488 19.7606i 1.47111 0.924361i 0.472028 0.881584i \(-0.343522\pi\)
0.999085 0.0427773i \(-0.0136206\pi\)
\(458\) −11.6888 26.7911i −0.546184 1.25187i
\(459\) −0.871692 11.6319i −0.0406871 0.542932i
\(460\) −0.549706 1.80661i −0.0256302 0.0842335i
\(461\) −5.30001 + 3.61349i −0.246846 + 0.168297i −0.680423 0.732820i \(-0.738204\pi\)
0.433576 + 0.901117i \(0.357251\pi\)
\(462\) −11.4984 + 1.29556i −0.534955 + 0.0602749i
\(463\) −33.6920 + 1.26067i −1.56580 + 0.0585881i −0.806137 0.591729i \(-0.798446\pi\)
−0.759663 + 0.650317i \(0.774636\pi\)
\(464\) 3.34801 + 0.504631i 0.155427 + 0.0234269i
\(465\) 27.3161 + 6.34474i 1.26675 + 0.294230i
\(466\) 9.53328 + 16.5121i 0.441621 + 0.764909i
\(467\) 18.3226 4.90953i 0.847870 0.227186i 0.191375 0.981517i \(-0.438705\pi\)
0.656494 + 0.754331i \(0.272039\pi\)
\(468\) 3.69787 + 6.99670i 0.170934 + 0.323423i
\(469\) 10.7413 + 13.4691i 0.495985 + 0.621946i
\(470\) −4.71276 17.8612i −0.217383 0.823877i
\(471\) 57.0783 + 27.4875i 2.63003 + 1.26656i
\(472\) 5.34804 + 5.34804i 0.246163 + 0.246163i
\(473\) 1.31040 + 25.4871i 0.0602523 + 1.17190i
\(474\) 21.3781i 0.981930i
\(475\) 11.7591 2.58947i 0.539545 0.118813i
\(476\) 3.83122 + 0.287110i 0.175604 + 0.0131597i
\(477\) −43.2166 4.86934i −1.97875 0.222952i
\(478\) −5.61169 + 2.96586i −0.256673 + 0.135655i
\(479\) −11.4155 6.59074i −0.521587 0.301138i 0.215997 0.976394i \(-0.430700\pi\)
−0.737584 + 0.675256i \(0.764033\pi\)
\(480\) 4.54722 + 3.94357i 0.207551 + 0.179999i
\(481\) 1.07762 0.245961i 0.0491354 0.0112148i
\(482\) −7.14259 + 5.27147i −0.325336 + 0.240109i
\(483\) 0.0938842 + 2.50911i 0.00427188 + 0.114168i
\(484\) 3.24207 + 2.58547i 0.147367 + 0.117521i
\(485\) −1.05398 7.17890i −0.0478588 0.325977i
\(486\) 14.6966 13.6365i 0.666652 0.618563i
\(487\) −19.4854 16.7685i −0.882967 0.759855i 0.0887369 0.996055i \(-0.471717\pi\)
−0.971704 + 0.236200i \(0.924098\pi\)
\(488\) 8.34648 3.64153i 0.377827 0.164844i
\(489\) −50.9587 11.6310i −2.30443 0.525972i
\(490\) −1.97517 + 12.7727i −0.0892291 + 0.577013i
\(491\) 5.73134 8.40633i 0.258652 0.379372i −0.674844 0.737960i \(-0.735789\pi\)
0.933496 + 0.358588i \(0.116742\pi\)
\(492\) −8.14667 6.01252i −0.367280 0.271065i
\(493\) −10.7946 4.70962i −0.486162 0.212110i
\(494\) 1.94754 + 4.04411i 0.0876239 + 0.181953i
\(495\) 26.0268 + 26.2267i 1.16982 + 1.17880i
\(496\) 1.70215 + 4.33702i 0.0764290 + 0.194738i
\(497\) −0.950511 + 1.28790i −0.0426363 + 0.0577701i
\(498\) 2.99435 + 15.8255i 0.134180 + 0.709159i
\(499\) 14.2384 4.39195i 0.637397 0.196611i 0.0408194 0.999167i \(-0.487003\pi\)
0.596577 + 0.802556i \(0.296527\pi\)
\(500\) 7.99588 7.81446i 0.357587 0.349473i
\(501\) −34.2942 13.4595i −1.53215 0.601326i
\(502\) 7.91576 9.19828i 0.353298 0.410539i
\(503\) 0.800433 21.3920i 0.0356896 0.953824i −0.860311 0.509770i \(-0.829730\pi\)
0.896000 0.444054i \(-0.146460\pi\)
\(504\) −2.64173 3.87471i −0.117672 0.172593i
\(505\) −11.7826 + 33.2640i −0.524317 + 1.48023i
\(506\) 2.23555 2.40935i 0.0993825 0.107109i
\(507\) −15.2265 20.6312i −0.676233 0.916264i
\(508\) 0.612596 0.974941i 0.0271796 0.0432560i
\(509\) 2.67666 1.54537i 0.118641 0.0684974i −0.439505 0.898240i \(-0.644846\pi\)
0.558146 + 0.829743i \(0.311513\pi\)
\(510\) −11.7278 17.3436i −0.519314 0.767989i
\(511\) −16.1242 4.97364i −0.713291 0.220021i
\(512\) −0.111964 + 0.993712i −0.00494818 + 0.0439163i
\(513\) −6.12109 + 5.26763i −0.270253 + 0.232571i
\(514\) −1.37701 + 2.85940i −0.0607375 + 0.126123i
\(515\) 20.4913 + 9.96483i 0.902956 + 0.439103i
\(516\) −15.1617 + 9.03833i −0.667457 + 0.397890i
\(517\) 22.7345 22.7345i 0.999863 0.999863i
\(518\) −0.618247 + 0.216334i −0.0271642 + 0.00950517i
\(519\) 3.61060 48.1801i 0.158488 2.11487i
\(520\) 3.52050 + 2.23090i 0.154384 + 0.0978316i
\(521\) −9.92892 + 32.1888i −0.434994 + 1.41022i 0.427439 + 0.904044i \(0.359416\pi\)
−0.862433 + 0.506171i \(0.831060\pi\)
\(522\) 3.72065 + 13.8857i 0.162849 + 0.607759i
\(523\) −23.9047 6.40525i −1.04528 0.280082i −0.304981 0.952359i \(-0.598650\pi\)
−0.740300 + 0.672276i \(0.765317\pi\)
\(524\) 1.91167 + 8.37556i 0.0835116 + 0.365888i
\(525\) −12.9306 + 7.33419i −0.564338 + 0.320090i
\(526\) −10.1646 9.43141i −0.443199 0.411229i
\(527\) −1.81451 16.1042i −0.0790413 0.701511i
\(528\) −1.94764 + 10.2935i −0.0847603 + 0.447969i
\(529\) 15.1589 + 16.3374i 0.659081 + 0.710321i
\(530\) −21.0281 + 9.07887i −0.913400 + 0.394361i
\(531\) −11.7319 + 29.8923i −0.509119 + 1.29721i
\(532\) −1.41514 2.25218i −0.0613541 0.0976444i
\(533\) −6.19859 3.27605i −0.268491 0.141902i
\(534\) −37.9243 25.8563i −1.64114 1.11891i
\(535\) 8.95398 28.6387i 0.387114 1.23816i
\(536\) 14.5192 5.69836i 0.627133 0.246132i
\(537\) −13.7014 + 39.1565i −0.591261 + 1.68973i
\(538\) 2.89543 8.27467i 0.124831 0.356746i
\(539\) −20.9402 + 8.21842i −0.901958 + 0.353993i
\(540\) −2.23761 + 7.15685i −0.0962913 + 0.307982i
\(541\) 7.89711 + 5.38416i 0.339523 + 0.231483i 0.721063 0.692869i \(-0.243654\pi\)
−0.381540 + 0.924352i \(0.624606\pi\)
\(542\) 7.33326 + 3.87574i 0.314990 + 0.166477i
\(543\) 24.5200 + 39.0234i 1.05225 + 1.67465i
\(544\) 1.27080 3.23795i 0.0544851 0.138826i
\(545\) 1.17636 0.507892i 0.0503896 0.0217557i
\(546\) −3.76931 4.06236i −0.161312 0.173853i
\(547\) 5.76978 30.4940i 0.246698 1.30383i −0.611800 0.791013i \(-0.709554\pi\)
0.858498 0.512817i \(-0.171398\pi\)
\(548\) −1.01610 9.01814i −0.0434057 0.385236i
\(549\) 28.3423 + 26.2978i 1.20962 + 1.12236i
\(550\) 18.7573 + 5.18010i 0.799813 + 0.220880i
\(551\) 1.81435 + 7.94920i 0.0772941 + 0.338647i
\(552\) 2.19580 + 0.588363i 0.0934594 + 0.0250424i
\(553\) 2.27037 + 8.47315i 0.0965461 + 0.360315i
\(554\) −0.720510 + 2.33584i −0.0306116 + 0.0992402i
\(555\) 3.01502 + 1.91059i 0.127981 + 0.0811000i
\(556\) 0.291159 3.88525i 0.0123479 0.164771i
\(557\) −25.8133 + 9.03246i −1.09374 + 0.382718i −0.816067 0.577957i \(-0.803850\pi\)
−0.277677 + 0.960674i \(0.589565\pi\)
\(558\) −13.9876 + 13.9876i −0.592144 + 0.592144i
\(559\) −9.44855 + 7.75334i −0.399631 + 0.327931i
\(560\) −2.22109 1.08010i −0.0938580 0.0456427i
\(561\) 15.8108 32.8316i 0.667534 1.38615i
\(562\) −12.2777 + 10.5658i −0.517905 + 0.445693i
\(563\) −1.17671 + 10.4436i −0.0495922 + 0.440143i 0.944241 + 0.329256i \(0.106798\pi\)
−0.993833 + 0.110887i \(0.964631\pi\)
\(564\) 21.2494 + 6.55459i 0.894763 + 0.275998i
\(565\) 2.13564 + 3.15830i 0.0898472 + 0.132871i
\(566\) −24.6524 + 14.2331i −1.03622 + 0.598261i
\(567\) −2.18051 + 3.47027i −0.0915729 + 0.145738i
\(568\) 0.860563 + 1.16602i 0.0361084 + 0.0489252i
\(569\) 24.4183 26.3167i 1.02367 1.10325i 0.0290594 0.999578i \(-0.490749\pi\)
0.994611 0.103677i \(-0.0330607\pi\)
\(570\) −4.83965 + 13.6631i −0.202711 + 0.572283i
\(571\) −20.3081 29.7865i −0.849867 1.24653i −0.967348 0.253451i \(-0.918434\pi\)
0.117481 0.993075i \(-0.462518\pi\)
\(572\) −0.271241 + 7.24906i −0.0113411 + 0.303099i
\(573\) 3.03359 3.52509i 0.126730 0.147263i
\(574\) 3.86744 + 1.51786i 0.161424 + 0.0633542i
\(575\) 1.42507 3.97482i 0.0594295 0.165761i
\(576\) −4.05716 + 1.25147i −0.169049 + 0.0521446i
\(577\) −7.42811 39.2585i −0.309236 1.63435i −0.700200 0.713947i \(-0.746906\pi\)
0.390964 0.920406i \(-0.372142\pi\)
\(578\) 2.91018 3.94316i 0.121048 0.164014i
\(579\) −5.77661 14.7186i −0.240068 0.611682i
\(580\) 5.33294 + 5.37389i 0.221438 + 0.223139i
\(581\) −2.86748 5.95439i −0.118963 0.247030i
\(582\) 8.00588 + 3.49293i 0.331854 + 0.144787i
\(583\) −32.0753 23.6726i −1.32842 0.980419i
\(584\) −8.60586 + 12.6225i −0.356113 + 0.522322i
\(585\) −2.70432 + 17.4879i −0.111810 + 0.723036i
\(586\) −23.2528 5.30730i −0.960565 0.219243i
\(587\) 13.7319 5.99117i 0.566776 0.247282i −0.0969098 0.995293i \(-0.530896\pi\)
0.663686 + 0.748011i \(0.268991\pi\)
\(588\) −11.7930 10.1487i −0.486337 0.418527i
\(589\) −8.22474 + 7.63145i −0.338895 + 0.314448i
\(590\) 2.45662 + 16.7326i 0.101137 + 0.688871i
\(591\) −1.53558 1.22459i −0.0631655 0.0503728i
\(592\) 0.0221737 + 0.592605i 0.000911334 + 0.0243559i
\(593\) 26.0089 19.1954i 1.06806 0.788263i 0.0898634 0.995954i \(-0.471357\pi\)
0.978194 + 0.207692i \(0.0665950\pi\)
\(594\) −12.7239 + 2.90415i −0.522069 + 0.119159i
\(595\) 6.49017 + 5.62859i 0.266071 + 0.230750i
\(596\) −13.8266 7.98277i −0.566358 0.326987i
\(597\) −58.6479 + 30.9963i −2.40030 + 1.26859i
\(598\) 1.56420 + 0.176243i 0.0639649 + 0.00720711i
\(599\) −35.8478 2.68642i −1.46470 0.109764i −0.681631 0.731696i \(-0.738729\pi\)
−0.783071 + 0.621932i \(0.786348\pi\)
\(600\) 2.89445 + 13.1441i 0.118165 + 0.536605i
\(601\) 1.52175i 0.0620735i −0.999518 0.0310368i \(-0.990119\pi\)
0.999518 0.0310368i \(-0.00988090\pi\)
\(602\) 5.04942 5.19250i 0.205799 0.211630i
\(603\) 46.8269 + 46.8269i 1.90694 + 1.90694i
\(604\) 3.66524 + 1.76509i 0.149137 + 0.0718204i
\(605\) 2.36561 + 8.96561i 0.0961759 + 0.364504i
\(606\) −26.4867 33.2133i −1.07595 1.34920i
\(607\) 4.45176 + 8.42314i 0.180691 + 0.341885i 0.957778 0.287509i \(-0.0928271\pi\)
−0.777087 + 0.629394i \(0.783303\pi\)
\(608\) −2.32611 + 0.623280i −0.0943363 + 0.0252773i
\(609\) −5.03329 8.71791i −0.203959 0.353267i
\(610\) 19.8343 + 4.60693i 0.803067 + 0.186529i
\(611\) 15.2261 + 2.29496i 0.615982 + 0.0928443i
\(612\) 14.7582 0.552213i 0.596565 0.0223219i
\(613\) 8.06686 0.908917i 0.325818 0.0367108i 0.0524592 0.998623i \(-0.483294\pi\)
0.273358 + 0.961912i \(0.411865\pi\)
\(614\) 3.41077 2.32543i 0.137648 0.0938466i
\(615\) −6.59061 21.6600i −0.265759 0.873416i
\(616\) −0.321240 4.28665i −0.0129431 0.172714i
\(617\) −11.2485 25.7818i −0.452847 1.03794i −0.981909 0.189353i \(-0.939361\pi\)
0.529063 0.848583i \(-0.322544\pi\)
\(618\) −23.2255 + 14.5935i −0.934265 + 0.587037i
\(619\) −6.26953 20.3253i −0.251994 0.816943i −0.989866 0.142003i \(-0.954646\pi\)
0.737872 0.674940i \(-0.235831\pi\)
\(620\) −2.73485 + 10.0527i −0.109834 + 0.403725i
\(621\) 0.422089 + 2.80038i 0.0169379 + 0.112375i
\(622\) −9.79710 + 22.4552i −0.392828 + 0.900371i
\(623\) 17.7771 + 6.22048i 0.712225 + 0.249218i
\(624\) −4.52042 + 2.17692i −0.180962 + 0.0871465i
\(625\) 24.7749 3.34744i 0.990995 0.133897i
\(626\) 29.5603 4.45549i 1.18147 0.178077i
\(627\) −24.7886 + 4.69025i −0.989961 + 0.187311i
\(628\) −10.9973 + 20.8079i −0.438839 + 0.830324i
\(629\) 0.459006 2.01104i 0.0183018 0.0801853i
\(630\) 0.432167 10.4773i 0.0172180 0.417425i
\(631\) 42.5893 3.19163i 1.69545 0.127057i 0.808373 0.588671i \(-0.200349\pi\)
0.887081 + 0.461615i \(0.152730\pi\)
\(632\) 7.93639 + 0.296959i 0.315693 + 0.0118124i
\(633\) −13.8155 2.61404i −0.549118 0.103899i
\(634\) −2.28931 + 2.87071i −0.0909202 + 0.114010i
\(635\) 2.40027 0.931459i 0.0952519 0.0369638i
\(636\) 4.10945 27.2644i 0.162950 1.08110i
\(637\) −9.12216 5.73184i −0.361433 0.227104i
\(638\) −3.41052 + 12.7282i −0.135024 + 0.503915i
\(639\) −3.07650 + 5.32865i −0.121704 + 0.210798i
\(640\) −1.52717 + 1.63332i −0.0603667 + 0.0645628i
\(641\) 29.4075 23.4517i 1.16153 0.926287i 0.163346 0.986569i \(-0.447771\pi\)
0.998181 + 0.0602816i \(0.0191999\pi\)
\(642\) 23.5615 + 27.3790i 0.929898 + 1.08056i
\(643\) −12.2624 35.0440i −0.483583 1.38200i −0.884780 0.466008i \(-0.845692\pi\)
0.401198 0.915992i \(-0.368594\pi\)
\(644\) −0.932783 −0.0367568
\(645\) −39.2642 4.02109i −1.54603 0.158330i
\(646\) 8.37656 0.329571
\(647\) 0.650559 + 1.85919i 0.0255761 + 0.0730924i 0.955964 0.293485i \(-0.0948151\pi\)
−0.930387 + 0.366578i \(0.880529\pi\)
\(648\) 2.42039 + 2.81254i 0.0950819 + 0.110487i
\(649\) −23.0135 + 18.3527i −0.903359 + 0.720405i
\(650\) 3.33836 + 8.70113i 0.130941 + 0.341286i
\(651\) 6.92609 11.9963i 0.271455 0.470174i
\(652\) 5.02573 18.7563i 0.196823 0.734552i
\(653\) −1.41575 0.889574i −0.0554026 0.0348117i 0.504046 0.863677i \(-0.331844\pi\)
−0.559449 + 0.828865i \(0.688987\pi\)
\(654\) −0.229892 + 1.52523i −0.00898948 + 0.0596413i
\(655\) −7.74920 + 17.5776i −0.302786 + 0.686814i
\(656\) 2.34524 2.94084i 0.0915663 0.114821i
\(657\) −63.7323 12.0588i −2.48643 0.470459i
\(658\) −9.11825 0.341181i −0.355466 0.0133006i
\(659\) 19.0501 1.42761i 0.742088 0.0556118i 0.301680 0.953409i \(-0.402453\pi\)
0.440409 + 0.897797i \(0.354834\pi\)
\(660\) −17.2329 + 15.8676i −0.670789 + 0.617644i
\(661\) −2.63681 + 11.5526i −0.102560 + 0.449345i 0.897407 + 0.441204i \(0.145449\pi\)
−0.999967 + 0.00814117i \(0.997409\pi\)
\(662\) −0.556118 + 1.05223i −0.0216141 + 0.0408959i
\(663\) 17.1478 3.24455i 0.665967 0.126008i
\(664\) −5.91664 + 0.891790i −0.229610 + 0.0346082i
\(665\) 0.467151 5.92929i 0.0181153 0.229928i
\(666\) −2.26849 + 1.09245i −0.0879024 + 0.0423315i
\(667\) 2.69891 + 0.944390i 0.104502 + 0.0365669i
\(668\) 5.47306 12.5444i 0.211759 0.485357i
\(669\) 9.94693 + 65.9936i 0.384571 + 2.55146i
\(670\) 33.6536 + 9.15556i 1.30015 + 0.353710i
\(671\) 10.4463 + 33.8661i 0.403275 + 1.30739i
\(672\) 2.51744 1.58181i 0.0971124 0.0610198i
\(673\) 16.1905 + 37.1091i 0.624100 + 1.43045i 0.885233 + 0.465149i \(0.153999\pi\)
−0.261133 + 0.965303i \(0.584096\pi\)
\(674\) −1.08348 14.4580i −0.0417341 0.556903i
\(675\) −13.5666 + 9.85318i −0.522177 + 0.379249i
\(676\) 7.87061 5.36609i 0.302716 0.206388i
\(677\) 39.7593 4.47979i 1.52807 0.172172i 0.692446 0.721470i \(-0.256533\pi\)
0.835627 + 0.549297i \(0.185105\pi\)
\(678\) −4.58642 + 0.171612i −0.176141 + 0.00659071i
\(679\) −3.54405 0.534180i −0.136008 0.0205000i
\(680\) 6.60154 4.11289i 0.253157 0.157722i
\(681\) −2.58411 4.47581i −0.0990234 0.171513i
\(682\) −17.5148 + 4.69307i −0.670675 + 0.179707i
\(683\) 9.60825 + 18.1797i 0.367649 + 0.695627i 0.996651 0.0817778i \(-0.0260598\pi\)
−0.629001 + 0.777404i \(0.716536\pi\)
\(684\) −6.37493 7.99390i −0.243751 0.305655i
\(685\) 10.2135 17.5351i 0.390239 0.669983i
\(686\) 12.7179 + 6.12463i 0.485572 + 0.233839i
\(687\) 55.6361 + 55.6361i 2.12265 + 2.12265i
\(688\) −3.14477 5.75417i −0.119893 0.219376i
\(689\) 19.0922i 0.727357i
\(690\) 3.15408 + 3.98627i 0.120074 + 0.151755i
\(691\) −21.6416 1.62181i −0.823286 0.0616967i −0.343577 0.939125i \(-0.611639\pi\)
−0.479709 + 0.877428i \(0.659258\pi\)
\(692\) 17.8362 + 2.00965i 0.678029 + 0.0763955i
\(693\) 16.1362 8.52825i 0.612965 0.323961i
\(694\) −8.30157 4.79292i −0.315123 0.181937i
\(695\) 5.70797 6.58170i 0.216516 0.249658i
\(696\) −8.88545 + 2.02805i −0.336802 + 0.0768729i
\(697\) −10.5273 + 7.76948i −0.398749 + 0.294290i
\(698\) 0.699616 + 18.6976i 0.0264809 + 0.707716i
\(699\) −40.1262 31.9996i −1.51771 1.21034i
\(700\) −2.54312 4.90222i −0.0961208 0.185287i
\(701\) 34.1590 31.6949i 1.29017 1.19710i 0.322014 0.946735i \(-0.395640\pi\)
0.968152 0.250364i \(-0.0805503\pi\)
\(702\) −4.73770 4.07712i −0.178813 0.153881i
\(703\) −1.30893 + 0.571082i −0.0493674 + 0.0215388i
\(704\) −3.79431 0.866026i −0.143003 0.0326396i
\(705\) 29.3741 + 40.1207i 1.10629 + 1.51103i
\(706\) −0.970304 + 1.42317i −0.0365179 + 0.0535619i
\(707\) 14.0252 + 10.3511i 0.527472 + 0.389292i
\(708\) −18.6601 8.14133i −0.701290 0.305970i
\(709\) −2.61121 5.42223i −0.0980660 0.203636i 0.846164 0.532922i \(-0.178906\pi\)
−0.944230 + 0.329286i \(0.893192\pi\)
\(710\) −0.0123940 + 3.24048i −0.000465139 + 0.121613i
\(711\) 12.3192 + 31.3889i 0.462008 + 1.17718i
\(712\) 10.1257 13.7198i 0.379475 0.514171i
\(713\) 0.731498 + 3.86606i 0.0273948 + 0.144785i
\(714\) −9.88234 + 3.04830i −0.369837 + 0.114080i
\(715\) −10.1619 + 12.6431i −0.380033 + 0.472826i
\(716\) −14.3461 5.63042i −0.536138 0.210419i
\(717\) 11.1447 12.9503i 0.416205 0.483639i
\(718\) 0.170231 4.54951i 0.00635295 0.169786i
\(719\) −11.8612 17.3972i −0.442348 0.648806i 0.538716 0.842487i \(-0.318910\pi\)
−0.981064 + 0.193682i \(0.937957\pi\)
\(720\) −8.94906 3.16988i −0.333512 0.118134i
\(721\) 7.65549 8.25066i 0.285105 0.307270i
\(722\) 7.83886 + 10.6213i 0.291732 + 0.395283i
\(723\) 12.7133 20.2331i 0.472812 0.752476i
\(724\) −14.8276 + 8.56071i −0.551063 + 0.318156i
\(725\) 2.39503 + 16.7588i 0.0889491 + 0.622408i
\(726\) −10.6664 3.29014i −0.395866 0.122108i
\(727\) −4.17515 + 37.0555i −0.154848 + 1.37431i 0.640406 + 0.768037i \(0.278766\pi\)
−0.795254 + 0.606276i \(0.792662\pi\)
\(728\) 1.56046 1.34289i 0.0578346 0.0497707i
\(729\) −18.5853 + 38.5928i −0.688345 + 1.42936i
\(730\) −32.2864 + 11.1591i −1.19497 + 0.413016i
\(731\) 5.38569 + 22.1644i 0.199197 + 0.819780i
\(732\) −17.3328 + 17.3328i −0.640640 + 0.640640i
\(733\) −8.15639 + 2.85404i −0.301263 + 0.105416i −0.476678 0.879078i \(-0.658159\pi\)
0.175415 + 0.984495i \(0.443873\pi\)
\(734\) −0.320252 + 4.27347i −0.0118207 + 0.157737i
\(735\) −7.61179 33.9474i −0.280765 1.25217i
\(736\) −0.248924 + 0.806993i −0.00917547 + 0.0297462i
\(737\) 15.7111 + 58.6348i 0.578727 + 2.15984i
\(738\) 15.4263 + 4.13346i 0.567849 + 0.152155i
\(739\) −5.92229 25.9473i −0.217855 0.954486i −0.959059 0.283206i \(-0.908602\pi\)
0.741204 0.671280i \(-0.234255\pi\)
\(740\) −0.751165 + 1.09275i −0.0276134 + 0.0401704i
\(741\) −8.85708 8.21817i −0.325373 0.301902i
\(742\) 1.26674 + 11.2426i 0.0465033 + 0.412728i
\(743\) −9.35154 + 49.4241i −0.343075 + 1.81319i 0.207301 + 0.978277i \(0.433532\pi\)
−0.550376 + 0.834917i \(0.685516\pi\)
\(744\) −8.53027 9.19345i −0.312735 0.337048i
\(745\) −14.1509 32.7757i −0.518449 1.20081i
\(746\) 9.60684 24.4778i 0.351731 0.896197i
\(747\) −13.5160 21.5107i −0.494526 0.787034i
\(748\) 11.9687 + 6.32565i 0.437620 + 0.231289i
\(749\) −12.2462 8.34931i −0.447466 0.305077i
\(750\) −12.3506 + 27.4443i −0.450979 + 1.00212i
\(751\) 5.11004 2.00554i 0.186468 0.0731833i −0.270270 0.962785i \(-0.587113\pi\)
0.456738 + 0.889601i \(0.349018\pi\)
\(752\) −2.72849 + 7.79757i −0.0994977 + 0.284348i
\(753\) −10.7889 + 30.8329i −0.393170 + 1.12361i
\(754\) −5.87463 + 2.30562i −0.213941 + 0.0839658i
\(755\) 4.21975 + 8.05862i 0.153572 + 0.293283i
\(756\) 3.06033 + 2.08650i 0.111303 + 0.0758853i
\(757\) 0.0119556 + 0.00631874i 0.000434535 + 0.000229659i 0.467486 0.884001i \(-0.345160\pi\)
−0.467051 + 0.884230i \(0.654684\pi\)
\(758\) 9.51316 + 15.1401i 0.345534 + 0.549913i
\(759\) −3.23227 + 8.23568i −0.117324 + 0.298936i
\(760\) −5.00504 1.98646i −0.181552 0.0720563i
\(761\) 7.89813 + 8.51216i 0.286307 + 0.308566i 0.859786 0.510655i \(-0.170597\pi\)
−0.573479 + 0.819220i \(0.694407\pi\)
\(762\) −0.576217 + 3.04538i −0.0208741 + 0.110322i
\(763\) −0.0708640 0.628935i −0.00256545 0.0227690i
\(764\) 1.26651 + 1.17515i 0.0458208 + 0.0425155i
\(765\) 27.2139 + 18.7070i 0.983921 + 0.676353i
\(766\) 5.65577 + 24.7796i 0.204351 + 0.895322i
\(767\) −13.6169 3.64864i −0.491679 0.131745i
\(768\) −0.696689 2.60008i −0.0251396 0.0938223i
\(769\) −8.94728 + 29.0064i −0.322647 + 1.04600i 0.638422 + 0.769687i \(0.279588\pi\)
−0.961069 + 0.276309i \(0.910889\pi\)
\(770\) 5.14505 8.11920i 0.185415 0.292596i
\(771\) 0.638416 8.51906i 0.0229920 0.306807i
\(772\) 5.54434 1.94005i 0.199545 0.0698239i
\(773\) 3.90302 3.90302i 0.140382 0.140382i −0.633424 0.773805i \(-0.718351\pi\)
0.773805 + 0.633424i \(0.218351\pi\)
\(774\) 17.0532 22.0077i 0.612963 0.791052i
\(775\) −18.3237 + 14.3847i −0.658206 + 0.516714i
\(776\) −1.40792 + 2.92357i −0.0505413 + 0.104950i
\(777\) 1.33641 1.15007i 0.0479434 0.0412586i
\(778\) 3.33950 29.6389i 0.119727 1.06261i
\(779\) 8.65584 + 2.66997i 0.310127 + 0.0956617i
\(780\) −11.0153 2.12789i −0.394413 0.0761906i
\(781\) −4.88448 + 2.82006i −0.174780 + 0.100910i
\(782\) 1.56287 2.48729i 0.0558881 0.0889454i
\(783\) −6.74230 9.13549i −0.240950 0.326476i
\(784\) 3.93142 4.23706i 0.140408 0.151324i
\(785\) −47.5017 + 22.6522i −1.69541 + 0.808492i
\(786\) −13.0269 19.1069i −0.464653 0.681520i
\(787\) 1.70000 45.4335i 0.0605985 1.61953i −0.555264 0.831674i \(-0.687383\pi\)
0.615862 0.787854i \(-0.288808\pi\)
\(788\) 0.475945 0.553058i 0.0169548 0.0197019i
\(789\) 34.7449 + 13.6364i 1.23695 + 0.485468i
\(790\) 13.8419 + 11.1254i 0.492472 + 0.395824i
\(791\) 1.79959 0.555100i 0.0639860 0.0197371i
\(792\) −3.07203 16.2361i −0.109160 0.576923i
\(793\) −10.0791 + 13.6567i −0.357920 + 0.484964i
\(794\) 1.11341 + 2.83693i 0.0395136 + 0.100679i
\(795\) 43.7622 43.4287i 1.55208 1.54026i
\(796\) −10.6924 22.2029i −0.378981 0.786962i
\(797\) −32.1167 14.0124i −1.13763 0.496344i −0.255249 0.966875i \(-0.582157\pi\)
−0.882383 + 0.470531i \(0.844062\pi\)
\(798\) 5.76081 + 4.25167i 0.203930 + 0.150507i
\(799\) 16.1873 23.7424i 0.572666 0.839947i
\(800\) −4.91980 + 0.891951i −0.173941 + 0.0315352i
\(801\) 70.5830 + 16.1101i 2.49393 + 0.569223i
\(802\) 16.7216 7.29556i 0.590460 0.257615i
\(803\) −45.0663 38.7827i −1.59035 1.36861i
\(804\) −30.7772 + 28.5571i −1.08543 + 1.00713i
\(805\) −1.67345 1.24498i −0.0589815 0.0438797i
\(806\) −6.78953 5.41447i −0.239151 0.190716i
\(807\) 0.882357 + 23.5815i 0.0310605 + 0.830108i
\(808\) 12.6980 9.37153i 0.446713 0.329689i
\(809\) 28.3199 6.46382i 0.995673 0.227256i 0.306514 0.951866i \(-0.400837\pi\)
0.689159 + 0.724610i \(0.257980\pi\)
\(810\) 0.588400 + 8.27631i 0.0206743 + 0.290800i
\(811\) −44.4788 25.6798i −1.56186 0.901741i −0.997069 0.0765085i \(-0.975623\pi\)
−0.564793 0.825233i \(-0.691044\pi\)
\(812\) 3.30634 1.74745i 0.116030 0.0613235i
\(813\) −22.1866 2.49983i −0.778119 0.0876730i
\(814\) −2.30151 0.172474i −0.0806679 0.00604522i
\(815\) 34.0503 26.9418i 1.19273 0.943729i
\(816\) 9.36314i 0.327776i
\(817\) 10.1323 12.1122i 0.354486 0.423751i
\(818\) −5.60497 5.60497i −0.195973 0.195973i
\(819\) 7.87533 + 3.79256i 0.275186 + 0.132523i
\(820\) 8.13259 2.14582i 0.284002 0.0749351i
\(821\) 12.4712 + 15.6384i 0.435247 + 0.545782i 0.950284 0.311386i \(-0.100793\pi\)
−0.515037 + 0.857168i \(0.672222\pi\)
\(822\) 11.4147 + 21.5977i 0.398135 + 0.753308i
\(823\) −7.68556 + 2.05934i −0.267902 + 0.0717841i −0.390269 0.920701i \(-0.627618\pi\)
0.122367 + 0.992485i \(0.460951\pi\)
\(824\) −5.09506 8.82490i −0.177495 0.307430i
\(825\) −52.0949 + 5.46647i −1.81371 + 0.190318i
\(826\) 8.26049 + 1.24507i 0.287419 + 0.0433215i
\(827\) 37.4490 1.40124i 1.30223 0.0487259i 0.622749 0.782421i \(-0.286016\pi\)
0.679478 + 0.733695i \(0.262206\pi\)
\(828\) −3.56308 + 0.401463i −0.123826 + 0.0139518i
\(829\) −23.8802 + 16.2812i −0.829392 + 0.565470i −0.901923 0.431896i \(-0.857845\pi\)
0.0725310 + 0.997366i \(0.476892\pi\)
\(830\) −11.8050 6.29699i −0.409757 0.218572i
\(831\) −0.491719 6.56154i −0.0170576 0.227617i
\(832\) −0.745364 1.70839i −0.0258409 0.0592279i
\(833\) −17.0236 + 10.6966i −0.589832 + 0.370616i
\(834\) 3.09129 + 10.0217i 0.107042 + 0.347023i
\(835\) 26.5618 15.2003i 0.919209 0.526028i
\(836\) −1.39687 9.26763i −0.0483118 0.320528i
\(837\) 6.24787 14.3203i 0.215958 0.494981i
\(838\) −14.0604 4.91996i −0.485710 0.169957i
\(839\) 42.5657 20.4986i 1.46953 0.707690i 0.483671 0.875250i \(-0.339303\pi\)
0.985862 + 0.167561i \(0.0535890\pi\)
\(840\) 6.62764 + 0.522171i 0.228675 + 0.0180166i
\(841\) 17.3403 2.61364i 0.597943 0.0901254i
\(842\) 18.6278 3.52458i 0.641958 0.121465i
\(843\) 20.3739 38.5494i 0.701716 1.32771i
\(844\) 1.16234 5.09255i 0.0400094 0.175293i
\(845\) 21.2823 + 0.877852i 0.732133 + 0.0301990i
\(846\) −34.9771 + 2.62117i −1.20254 + 0.0901177i
\(847\) 4.57699 + 0.171259i 0.157267 + 0.00588453i
\(848\) 10.0645 + 1.90431i 0.345617 + 0.0653943i
\(849\) 47.7751 59.9081i 1.63964 2.05604i
\(850\) 17.3329 + 1.43233i 0.594513 + 0.0491285i
\(851\) −0.0746422 + 0.495219i −0.00255870 + 0.0169759i
\(852\) −3.30303 2.07543i −0.113160 0.0711031i
\(853\) 8.21130 30.6450i 0.281150 1.04927i −0.670457 0.741948i \(-0.733902\pi\)
0.951607 0.307317i \(-0.0994312\pi\)
\(854\) 5.02905 8.71057i 0.172091 0.298070i
\(855\) −0.767481 22.8500i −0.0262473 0.781453i
\(856\) −10.4914 + 8.36663i −0.358589 + 0.285965i
\(857\) 19.3729 + 22.5118i 0.661767 + 0.768987i 0.984095 0.177640i \(-0.0568464\pi\)
−0.322328 + 0.946628i \(0.604465\pi\)
\(858\) −6.44926 18.4309i −0.220174 0.629221i
\(859\) 41.0733 1.40140 0.700701 0.713455i \(-0.252871\pi\)
0.700701 + 0.713455i \(0.252871\pi\)
\(860\) 2.03819 14.5205i 0.0695019 0.495146i
\(861\) −11.1834 −0.381131
\(862\) −1.86426 5.32774i −0.0634969 0.181464i
\(863\) 25.3948 + 29.5093i 0.864448 + 1.00451i 0.999906 + 0.0137240i \(0.00436863\pi\)
−0.135457 + 0.990783i \(0.543250\pi\)
\(864\) 2.62182 2.09083i 0.0891960 0.0711314i
\(865\) 29.3166 + 27.4112i 0.996794 + 0.932010i
\(866\) −9.59504 + 16.6191i −0.326053 + 0.564740i
\(867\) −3.41432 + 12.7424i −0.115956 + 0.432755i
\(868\) 4.35730 + 2.73787i 0.147896 + 0.0929294i
\(869\) −4.60677 + 30.5639i −0.156274 + 1.03681i
\(870\) −18.6477 8.22096i −0.632217 0.278716i
\(871\) −18.1262 + 22.7295i −0.614183 + 0.770161i
\(872\) −0.563032 0.106531i −0.0190667 0.00360761i
\(873\) −13.7676 0.515148i −0.465963 0.0174351i
\(874\) −2.02804 + 0.151981i −0.0685995 + 0.00514082i
\(875\) 1.98050 12.1891i 0.0669531 0.412066i
\(876\) 9.15067 40.0917i 0.309172 1.35457i
\(877\) 16.8757 31.9303i 0.569851 1.07821i −0.415807 0.909453i \(-0.636501\pi\)
0.985658 0.168757i \(-0.0539754\pi\)
\(878\) −35.4891 + 6.71491i −1.19770 + 0.226617i
\(879\) 63.4845 9.56875i 2.14128 0.322746i
\(880\) −5.65127 6.61793i −0.190504 0.223090i
\(881\) 17.9658 8.65186i 0.605282 0.291489i −0.106032 0.994363i \(-0.533815\pi\)
0.711314 + 0.702874i \(0.248100\pi\)
\(882\) 23.1637 + 8.10532i 0.779961 + 0.272920i
\(883\) 10.5169 24.1049i 0.353921 0.811195i −0.644975 0.764204i \(-0.723132\pi\)
0.998895 0.0469907i \(-0.0149631\pi\)
\(884\) 0.966304 + 6.41101i 0.0325003 + 0.215626i
\(885\) −22.6109 39.5114i −0.760057 1.32816i
\(886\) −10.1089 32.7724i −0.339617 1.10101i
\(887\) −31.1814 + 19.5926i −1.04697 + 0.657855i −0.941654 0.336584i \(-0.890728\pi\)
−0.105317 + 0.994439i \(0.533586\pi\)
\(888\) −0.638344 1.46310i −0.0214214 0.0490984i
\(889\) −0.0950400 1.26822i −0.00318754 0.0425348i
\(890\) 36.4776 11.0992i 1.22273 0.372047i
\(891\) −11.9320 + 8.13508i −0.399736 + 0.272535i
\(892\) −24.6375 + 2.77598i −0.824926 + 0.0929468i
\(893\) −19.8803 + 0.743870i −0.665271 + 0.0248927i
\(894\) 42.4961 + 6.40525i 1.42128 + 0.214224i
\(895\) −18.2226 29.2488i −0.609114 0.977680i
\(896\) 0.552261 + 0.956544i 0.0184497 + 0.0319559i
\(897\) −4.09278 + 1.09666i −0.136654 + 0.0366163i
\(898\) −8.24320 15.5969i −0.275079 0.520475i
\(899\) −9.83545 12.3333i −0.328031 0.411337i
\(900\) −11.8242 17.6312i −0.394139 0.587705i
\(901\) −32.1011 15.4591i −1.06944 0.515016i
\(902\) 10.3515 + 10.3515i 0.344667 + 0.344667i
\(903\) −7.54603 + 17.9767i −0.251116 + 0.598227i
\(904\) 1.70504i 0.0567089i
\(905\) −38.0273 4.43200i −1.26407 0.147325i
\(906\) −10.9199 0.818335i −0.362790 0.0271874i
\(907\) −24.5242 2.76322i −0.814314 0.0917511i −0.305022 0.952345i \(-0.598664\pi\)
−0.509291 + 0.860594i \(0.670092\pi\)
\(908\) 1.69749 0.897150i 0.0563332 0.0297730i
\(909\) 58.0290 + 33.5031i 1.92470 + 1.11123i
\(910\) 4.59188 0.326457i 0.152219 0.0108220i
\(911\) 22.0149 5.02475i 0.729385 0.166477i 0.158327 0.987387i \(-0.449390\pi\)
0.571059 + 0.820909i \(0.306533\pi\)
\(912\) 5.21565 3.84933i 0.172708 0.127464i
\(913\) −0.870728 23.2707i −0.0288169 0.770147i
\(914\) −29.0386 23.1575i −0.960510 0.765981i
\(915\) −54.2299 + 7.96183i −1.79278 + 0.263210i
\(916\) −21.4271 + 19.8814i −0.707971 + 0.656902i
\(917\) 7.19232 + 6.18949i 0.237511 + 0.204395i
\(918\) −10.6913 + 4.66456i −0.352865 + 0.153953i
\(919\) −0.618822 0.141242i −0.0204131 0.00465915i 0.212302 0.977204i \(-0.431904\pi\)
−0.232715 + 0.972545i \(0.574761\pi\)
\(920\) −1.52367 + 1.11554i −0.0502339 + 0.0367784i
\(921\) −6.25958 + 9.18112i −0.206260 + 0.302528i
\(922\) 5.16119 + 3.80914i 0.169975 + 0.125447i
\(923\) −2.47580 1.08018i −0.0814920 0.0355546i
\(924\) 5.02054 + 10.4253i 0.165164 + 0.342966i
\(925\) −2.80612 + 0.957873i −0.0922645 + 0.0314947i
\(926\) 12.3177 + 31.3849i 0.404784 + 1.03137i
\(927\) 25.6917 34.8110i 0.843827 1.14334i
\(928\) −0.629464 3.32680i −0.0206632 0.109207i
\(929\) 1.00803 0.310935i 0.0330723 0.0102015i −0.278175 0.960530i \(-0.589729\pi\)
0.311247 + 0.950329i \(0.399253\pi\)
\(930\) −3.03324 27.8787i −0.0994640 0.914180i
\(931\) 12.9571 + 5.08529i 0.424652 + 0.166664i
\(932\) 12.4369 14.4519i 0.407383 0.473388i
\(933\) 2.46585 65.9013i 0.0807284 2.15751i
\(934\) −10.6856 15.6729i −0.349644 0.512833i
\(935\) 13.0296 + 27.3231i 0.426113 + 0.893560i
\(936\) 5.38275 5.80122i 0.175941 0.189619i
\(937\) 12.5096 + 16.9500i 0.408672 + 0.553731i 0.959798 0.280691i \(-0.0905636\pi\)
−0.551126 + 0.834422i \(0.685802\pi\)
\(938\) 9.16566 14.5871i 0.299269 0.476285i
\(939\) −69.6883 + 40.2346i −2.27419 + 1.31301i
\(940\) −15.3024 + 10.3475i −0.499109 + 0.337498i
\(941\) −31.2790 9.64828i −1.01967 0.314525i −0.260535 0.965464i \(-0.583899\pi\)
−0.759130 + 0.650939i \(0.774375\pi\)
\(942\) 7.09319 62.9538i 0.231109 2.05115i
\(943\) 2.40778 2.07206i 0.0784082 0.0674757i
\(944\) 3.28158 6.81427i 0.106806 0.221786i
\(945\) 2.70553 + 7.82788i 0.0880110 + 0.254641i
\(946\) 23.6241 9.65473i 0.768085 0.313902i
\(947\) −28.1510 + 28.1510i −0.914786 + 0.914786i −0.996644 0.0818580i \(-0.973915\pi\)
0.0818580 + 0.996644i \(0.473915\pi\)
\(948\) −20.1785 + 7.06075i −0.655366 + 0.229322i
\(949\) 2.12794 28.3954i 0.0690760 0.921755i
\(950\) −6.32794 10.2440i −0.205306 0.332359i
\(951\) 2.91327 9.44458i 0.0944691 0.306261i
\(952\) −0.994373 3.71105i −0.0322278 0.120276i
\(953\) −6.44126 1.72593i −0.208653 0.0559083i 0.152979 0.988230i \(-0.451113\pi\)
−0.361631 + 0.932321i \(0.617780\pi\)
\(954\) 9.67745 + 42.3997i 0.313319 + 1.37274i
\(955\) 0.703710 + 3.79868i 0.0227715 + 0.122922i
\(956\) 4.65285 + 4.31722i 0.150484 + 0.139629i
\(957\) −3.97143 35.2475i −0.128378 1.13939i
\(958\) −2.45059 + 12.9517i −0.0791749 + 0.418450i
\(959\) −6.81789 7.34794i −0.220161 0.237277i
\(960\) 2.22042 5.59452i 0.0716637 0.180562i
\(961\) −3.39509 + 8.65054i −0.109519 + 0.279050i
\(962\) −0.588075 0.935916i −0.0189603 0.0301751i
\(963\) −50.3719 26.6224i −1.62321 0.857893i
\(964\) 7.33470 + 5.00071i 0.236235 + 0.161062i
\(965\) 12.5362 + 3.91946i 0.403553 + 0.126172i
\(966\) 2.33730 0.917322i 0.0752013 0.0295144i
\(967\) 6.22623 17.7935i 0.200222 0.572201i −0.799368 0.600842i \(-0.794832\pi\)
0.999590 + 0.0286405i \(0.00911781\pi\)
\(968\) 1.36959 3.91406i 0.0440203 0.125803i
\(969\) −20.9894 + 8.23772i −0.674276 + 0.264634i
\(970\) −6.42794 + 3.36588i −0.206389 + 0.108072i
\(971\) −4.45837 3.03967i −0.143076 0.0975475i 0.489667 0.871910i \(-0.337118\pi\)
−0.632743 + 0.774362i \(0.718071\pi\)
\(972\) −17.7252 9.36805i −0.568537 0.300480i
\(973\) −2.28953 3.64377i −0.0733991 0.116814i
\(974\) −9.39193 + 23.9302i −0.300937 + 0.766774i
\(975\) −16.9219 18.5196i −0.541936 0.593103i
\(976\) −6.19385 6.67538i −0.198260 0.213674i
\(977\) 7.54230 39.8620i 0.241300 1.27530i −0.626906 0.779095i \(-0.715679\pi\)
0.868206 0.496204i \(-0.165273\pi\)
\(978\) 5.85229 + 51.9405i 0.187136 + 1.66088i
\(979\) 48.6478 + 45.1386i 1.55479 + 1.44264i
\(980\) 12.7083 2.35423i 0.405952 0.0752032i
\(981\) −0.541378 2.37193i −0.0172849 0.0757300i
\(982\) −9.82753 2.63328i −0.313609 0.0840313i
\(983\) 7.62069 + 28.4408i 0.243062 + 0.907121i 0.974347 + 0.225049i \(0.0722542\pi\)
−0.731285 + 0.682072i \(0.761079\pi\)
\(984\) −2.98444 + 9.67531i −0.0951404 + 0.308438i
\(985\) 1.59203 0.356970i 0.0507263 0.0113740i
\(986\) −0.880113 + 11.7443i −0.0280285 + 0.374014i
\(987\) 23.1834 8.11221i 0.737935 0.258215i
\(988\) 3.17393 3.17393i 0.100976 0.100976i
\(989\) −1.70607 5.26849i −0.0542497 0.167528i
\(990\) 16.1588 33.2284i 0.513561 1.05607i
\(991\) −20.1179 + 41.7753i −0.639067 + 1.32704i 0.289965 + 0.957037i \(0.406356\pi\)
−0.929032 + 0.370000i \(0.879358\pi\)
\(992\) 3.53145 3.03906i 0.112124 0.0964903i
\(993\) 0.358693 3.18349i 0.0113828 0.101025i
\(994\) 1.52956 + 0.471806i 0.0485146 + 0.0149648i
\(995\) 10.4515 54.1041i 0.331336 1.71521i
\(996\) 13.9485 8.05316i 0.441974 0.255174i
\(997\) −15.3083 + 24.3630i −0.484818 + 0.771583i −0.996137 0.0878078i \(-0.972014\pi\)
0.511320 + 0.859390i \(0.329157\pi\)
\(998\) −8.84812 11.9888i −0.280082 0.379498i
\(999\) 1.35262 1.45778i 0.0427951 0.0461222i
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 430.2.x.a.3.11 528
5.2 odd 4 inner 430.2.x.a.347.22 yes 528
43.29 odd 42 inner 430.2.x.a.373.22 yes 528
215.72 even 84 inner 430.2.x.a.287.11 yes 528
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
430.2.x.a.3.11 528 1.1 even 1 trivial
430.2.x.a.287.11 yes 528 215.72 even 84 inner
430.2.x.a.347.22 yes 528 5.2 odd 4 inner
430.2.x.a.373.22 yes 528 43.29 odd 42 inner