Properties

Label 640.2.bm.a.461.31
Level $640$
Weight $2$
Character 640.461
Analytic conductor $5.110$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [640,2,Mod(21,640)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(640, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 13, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("640.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 640 = 2^{7} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 640.bm (of order \(32\), degree \(16\), 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: \(5.11042572936\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 461.31
Character \(\chi\) \(=\) 640.461
Dual form 640.2.bm.a.261.31

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.102812 - 1.41047i) q^{2} +(2.46375 - 0.747371i) q^{3} +(-1.97886 + 0.290028i) q^{4} +(0.995185 - 0.0980171i) q^{5} +(-1.30745 - 3.39821i) q^{6} +(1.01035 - 1.51210i) q^{7} +(0.612527 + 2.76131i) q^{8} +(3.01711 - 2.01597i) q^{9} +O(q^{10})\) \(q+(-0.102812 - 1.41047i) q^{2} +(2.46375 - 0.747371i) q^{3} +(-1.97886 + 0.290028i) q^{4} +(0.995185 - 0.0980171i) q^{5} +(-1.30745 - 3.39821i) q^{6} +(1.01035 - 1.51210i) q^{7} +(0.612527 + 2.76131i) q^{8} +(3.01711 - 2.01597i) q^{9} +(-0.240568 - 1.39360i) q^{10} +(-0.474917 - 0.888507i) q^{11} +(-4.65866 + 2.19350i) q^{12} +(0.145337 - 1.47563i) q^{13} +(-2.23665 - 1.26961i) q^{14} +(2.37863 - 0.985262i) q^{15} +(3.83177 - 1.14785i) q^{16} +(-1.80605 - 0.748091i) q^{17} +(-3.15366 - 4.04828i) q^{18} +(1.71214 + 2.08625i) q^{19} +(-1.94090 + 0.482593i) q^{20} +(1.35916 - 4.48055i) q^{21} +(-1.20439 + 0.761206i) q^{22} +(0.582161 - 2.92672i) q^{23} +(3.57284 + 6.34539i) q^{24} +(0.980785 - 0.195090i) q^{25} +(-2.09628 - 0.0532805i) q^{26} +(1.02677 - 1.25113i) q^{27} +(-1.56079 + 3.28526i) q^{28} +(4.23367 + 2.26294i) q^{29} +(-1.63424 - 3.25370i) q^{30} +(-2.63475 + 2.63475i) q^{31} +(-2.01296 - 5.28659i) q^{32} +(-1.83412 - 1.83412i) q^{33} +(-0.869477 + 2.62430i) q^{34} +(0.857276 - 1.60385i) q^{35} +(-5.38574 + 4.86436i) q^{36} +(-8.02941 - 6.58957i) q^{37} +(2.76657 - 2.62942i) q^{38} +(-0.744770 - 3.74421i) q^{39} +(0.880233 + 2.68797i) q^{40} +(-0.328729 - 0.0653883i) q^{41} +(-6.45942 - 1.45640i) q^{42} +(6.72762 + 2.04080i) q^{43} +(1.19749 + 1.62049i) q^{44} +(2.80498 - 2.30199i) q^{45} +(-4.18791 - 0.520218i) q^{46} +(0.188147 - 0.454227i) q^{47} +(8.58266 - 5.69177i) q^{48} +(1.41315 + 3.41165i) q^{49} +(-0.376006 - 1.36331i) q^{50} +(-5.00877 - 0.493321i) q^{51} +(0.140373 + 2.96222i) q^{52} +(-3.37552 + 1.80425i) q^{53} +(-1.87024 - 1.31960i) q^{54} +(-0.559719 - 0.837678i) q^{55} +(4.79424 + 1.86369i) q^{56} +(5.77750 + 3.86040i) q^{57} +(2.75654 - 6.20412i) q^{58} +(1.34960 + 13.7027i) q^{59} +(-4.42123 + 2.63957i) q^{60} +(0.0299468 + 0.0987215i) q^{61} +(3.98712 + 3.44535i) q^{62} -6.59900i q^{63} +(-7.24962 + 3.38275i) q^{64} -1.48277i q^{65} +(-2.39841 + 2.77555i) q^{66} +(-0.208894 - 0.688630i) q^{67} +(3.79089 + 0.956562i) q^{68} +(-0.753046 - 7.64581i) q^{69} +(-2.35032 - 1.04427i) q^{70} +(-3.79262 - 2.53415i) q^{71} +(7.41476 + 7.09632i) q^{72} +(2.61761 + 3.91753i) q^{73} +(-8.46888 + 12.0027i) q^{74} +(2.27061 - 1.21367i) q^{75} +(-3.99316 - 3.63183i) q^{76} +(-1.82334 - 0.179584i) q^{77} +(-5.20453 + 1.43543i) q^{78} +(0.590704 + 1.42609i) q^{79} +(3.70081 - 1.51790i) q^{80} +(-2.57120 + 6.20744i) q^{81} +(-0.0584309 + 0.470385i) q^{82} +(-7.63207 + 6.26348i) q^{83} +(-1.39010 + 9.26057i) q^{84} +(-1.87068 - 0.567465i) q^{85} +(2.18681 - 9.69894i) q^{86} +(12.1220 + 2.41121i) q^{87} +(2.16254 - 1.85563i) q^{88} +(2.80472 + 14.1003i) q^{89} +(-3.53527 - 3.71967i) q^{90} +(-2.08446 - 1.71067i) q^{91} +(-0.303184 + 5.96041i) q^{92} +(-4.52223 + 8.46050i) q^{93} +(-0.660018 - 0.218676i) q^{94} +(1.90839 + 1.90839i) q^{95} +(-8.91048 - 11.5204i) q^{96} +(10.3161 - 10.3161i) q^{97} +(4.66675 - 2.34397i) q^{98} +(-3.22407 - 1.72330i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 192 q^{52} - 128 q^{54} - 32 q^{56} - 288 q^{58} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 288 q^{72} - 32 q^{74} - 128 q^{76} - 192 q^{78}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).

\(n\) \(257\) \(261\) \(511\)
\(\chi(n)\) \(1\) \(e\left(\frac{31}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.102812 1.41047i −0.0726993 0.997354i
\(3\) 2.46375 0.747371i 1.42245 0.431495i 0.517012 0.855978i \(-0.327044\pi\)
0.905436 + 0.424483i \(0.139544\pi\)
\(4\) −1.97886 + 0.290028i −0.989430 + 0.145014i
\(5\) 0.995185 0.0980171i 0.445060 0.0438346i
\(6\) −1.30745 3.39821i −0.533764 1.38732i
\(7\) 1.01035 1.51210i 0.381877 0.571520i −0.589883 0.807488i \(-0.700826\pi\)
0.971761 + 0.235969i \(0.0758263\pi\)
\(8\) 0.612527 + 2.76131i 0.216561 + 0.976269i
\(9\) 3.01711 2.01597i 1.00570 0.671989i
\(10\) −0.240568 1.39360i −0.0760742 0.440696i
\(11\) −0.474917 0.888507i −0.143193 0.267895i 0.800093 0.599875i \(-0.204783\pi\)
−0.943286 + 0.331980i \(0.892283\pi\)
\(12\) −4.65866 + 2.19350i −1.34484 + 0.633209i
\(13\) 0.145337 1.47563i 0.0403092 0.409267i −0.953764 0.300556i \(-0.902828\pi\)
0.994073 0.108711i \(-0.0346722\pi\)
\(14\) −2.23665 1.26961i −0.597770 0.339318i
\(15\) 2.37863 0.985262i 0.614161 0.254394i
\(16\) 3.83177 1.14785i 0.957942 0.286962i
\(17\) −1.80605 0.748091i −0.438032 0.181439i 0.152759 0.988263i \(-0.451184\pi\)
−0.590791 + 0.806825i \(0.701184\pi\)
\(18\) −3.15366 4.04828i −0.743324 0.954188i
\(19\) 1.71214 + 2.08625i 0.392792 + 0.478619i 0.931431 0.363918i \(-0.118561\pi\)
−0.538639 + 0.842537i \(0.681061\pi\)
\(20\) −1.94090 + 0.482593i −0.433999 + 0.107911i
\(21\) 1.35916 4.48055i 0.296593 0.977736i
\(22\) −1.20439 + 0.761206i −0.256776 + 0.162290i
\(23\) 0.582161 2.92672i 0.121389 0.610264i −0.871418 0.490541i \(-0.836799\pi\)
0.992807 0.119723i \(-0.0382007\pi\)
\(24\) 3.57284 + 6.34539i 0.729302 + 1.29525i
\(25\) 0.980785 0.195090i 0.196157 0.0390181i
\(26\) −2.09628 0.0532805i −0.411114 0.0104492i
\(27\) 1.02677 1.25113i 0.197603 0.240779i
\(28\) −1.56079 + 3.28526i −0.294962 + 0.620856i
\(29\) 4.23367 + 2.26294i 0.786172 + 0.420218i 0.815068 0.579365i \(-0.196699\pi\)
−0.0288965 + 0.999582i \(0.509199\pi\)
\(30\) −1.63424 3.25370i −0.298370 0.594041i
\(31\) −2.63475 + 2.63475i −0.473214 + 0.473214i −0.902953 0.429739i \(-0.858606\pi\)
0.429739 + 0.902953i \(0.358606\pi\)
\(32\) −2.01296 5.28659i −0.355845 0.934545i
\(33\) −1.83412 1.83412i −0.319280 0.319280i
\(34\) −0.869477 + 2.62430i −0.149114 + 0.450063i
\(35\) 0.857276 1.60385i 0.144906 0.271100i
\(36\) −5.38574 + 4.86436i −0.897624 + 0.810726i
\(37\) −8.02941 6.58957i −1.32003 1.08332i −0.990256 0.139258i \(-0.955528\pi\)
−0.329771 0.944061i \(-0.606972\pi\)
\(38\) 2.76657 2.62942i 0.448797 0.426548i
\(39\) −0.744770 3.74421i −0.119259 0.599554i
\(40\) 0.880233 + 2.68797i 0.139177 + 0.425006i
\(41\) −0.328729 0.0653883i −0.0513388 0.0102119i 0.169354 0.985555i \(-0.445832\pi\)
−0.220693 + 0.975343i \(0.570832\pi\)
\(42\) −6.45942 1.45640i −0.996710 0.224727i
\(43\) 6.72762 + 2.04080i 1.02595 + 0.311219i 0.758029 0.652221i \(-0.226163\pi\)
0.267923 + 0.963440i \(0.413663\pi\)
\(44\) 1.19749 + 1.62049i 0.180528 + 0.244298i
\(45\) 2.80498 2.30199i 0.418141 0.343160i
\(46\) −4.18791 0.520218i −0.617474 0.0767020i
\(47\) 0.188147 0.454227i 0.0274440 0.0662558i −0.909563 0.415565i \(-0.863584\pi\)
0.937007 + 0.349309i \(0.113584\pi\)
\(48\) 8.58266 5.69177i 1.23880 0.821536i
\(49\) 1.41315 + 3.41165i 0.201879 + 0.487379i
\(50\) −0.376006 1.36331i −0.0531753 0.192801i
\(51\) −5.00877 0.493321i −0.701368 0.0690787i
\(52\) 0.140373 + 2.96222i 0.0194662 + 0.410786i
\(53\) −3.37552 + 1.80425i −0.463664 + 0.247833i −0.686650 0.726988i \(-0.740919\pi\)
0.222986 + 0.974822i \(0.428419\pi\)
\(54\) −1.87024 1.31960i −0.254508 0.179575i
\(55\) −0.559719 0.837678i −0.0754725 0.112953i
\(56\) 4.79424 + 1.86369i 0.640657 + 0.249046i
\(57\) 5.77750 + 3.86040i 0.765248 + 0.511323i
\(58\) 2.75654 6.20412i 0.361952 0.814641i
\(59\) 1.34960 + 13.7027i 0.175703 + 1.78394i 0.529189 + 0.848504i \(0.322496\pi\)
−0.353486 + 0.935440i \(0.615004\pi\)
\(60\) −4.42123 + 2.63957i −0.570778 + 0.340766i
\(61\) 0.0299468 + 0.0987215i 0.00383430 + 0.0126400i 0.958837 0.283958i \(-0.0916477\pi\)
−0.955002 + 0.296598i \(0.904148\pi\)
\(62\) 3.98712 + 3.44535i 0.506365 + 0.437560i
\(63\) 6.59900i 0.831396i
\(64\) −7.24962 + 3.38275i −0.906203 + 0.422844i
\(65\) 1.48277i 0.183915i
\(66\) −2.39841 + 2.77555i −0.295223 + 0.341646i
\(67\) −0.208894 0.688630i −0.0255204 0.0841296i 0.943255 0.332069i \(-0.107747\pi\)
−0.968776 + 0.247939i \(0.920247\pi\)
\(68\) 3.79089 + 0.956562i 0.459713 + 0.116000i
\(69\) −0.753046 7.64581i −0.0906561 0.920447i
\(70\) −2.35032 1.04427i −0.280917 0.124814i
\(71\) −3.79262 2.53415i −0.450101 0.300748i 0.309782 0.950808i \(-0.399744\pi\)
−0.759883 + 0.650059i \(0.774744\pi\)
\(72\) 7.41476 + 7.09632i 0.873838 + 0.836309i
\(73\) 2.61761 + 3.91753i 0.306368 + 0.458512i 0.952423 0.304778i \(-0.0985824\pi\)
−0.646055 + 0.763291i \(0.723582\pi\)
\(74\) −8.46888 + 12.0027i −0.984487 + 1.39529i
\(75\) 2.27061 1.21367i 0.262187 0.140142i
\(76\) −3.99316 3.63183i −0.458047 0.416599i
\(77\) −1.82334 0.179584i −0.207789 0.0204655i
\(78\) −5.20453 + 1.43543i −0.589297 + 0.162530i
\(79\) 0.590704 + 1.42609i 0.0664594 + 0.160447i 0.953620 0.301014i \(-0.0973252\pi\)
−0.887160 + 0.461462i \(0.847325\pi\)
\(80\) 3.70081 1.51790i 0.413763 0.169706i
\(81\) −2.57120 + 6.20744i −0.285689 + 0.689715i
\(82\) −0.0584309 + 0.470385i −0.00645261 + 0.0519454i
\(83\) −7.63207 + 6.26348i −0.837729 + 0.687506i −0.952052 0.305937i \(-0.901030\pi\)
0.114323 + 0.993444i \(0.463530\pi\)
\(84\) −1.39010 + 9.26057i −0.151672 + 1.01041i
\(85\) −1.87068 0.567465i −0.202904 0.0615502i
\(86\) 2.18681 9.69894i 0.235810 1.04586i
\(87\) 12.1220 + 2.41121i 1.29961 + 0.258509i
\(88\) 2.16254 1.85563i 0.230528 0.197810i
\(89\) 2.80472 + 14.1003i 0.297300 + 1.49463i 0.783837 + 0.620966i \(0.213260\pi\)
−0.486538 + 0.873659i \(0.661740\pi\)
\(90\) −3.53527 3.71967i −0.372650 0.392088i
\(91\) −2.08446 1.71067i −0.218511 0.179327i
\(92\) −0.303184 + 5.96041i −0.0316091 + 0.621416i
\(93\) −4.52223 + 8.46050i −0.468933 + 0.877313i
\(94\) −0.660018 0.218676i −0.0680756 0.0225547i
\(95\) 1.90839 + 1.90839i 0.195796 + 0.195796i
\(96\) −8.91048 11.5204i −0.909422 1.17580i
\(97\) 10.3161 10.3161i 1.04744 1.04744i 0.0486199 0.998817i \(-0.484518\pi\)
0.998817 0.0486199i \(-0.0154823\pi\)
\(98\) 4.66675 2.34397i 0.471413 0.236777i
\(99\) −3.22407 1.72330i −0.324032 0.173198i
\(100\) −1.88425 + 0.670511i −0.188425 + 0.0670511i
\(101\) 3.90588 4.75933i 0.388650 0.473571i −0.541527 0.840684i \(-0.682154\pi\)
0.930177 + 0.367112i \(0.119654\pi\)
\(102\) −0.180851 + 7.11544i −0.0179069 + 0.704534i
\(103\) 1.02442 0.203769i 0.100939 0.0200780i −0.144362 0.989525i \(-0.546113\pi\)
0.245301 + 0.969447i \(0.421113\pi\)
\(104\) 4.16369 0.502545i 0.408284 0.0492786i
\(105\) 0.913444 4.59219i 0.0891430 0.448152i
\(106\) 2.89189 + 4.57558i 0.280886 + 0.444419i
\(107\) −1.80406 + 5.94719i −0.174405 + 0.574936i 0.825539 + 0.564345i \(0.190871\pi\)
−0.999944 + 0.0105912i \(0.996629\pi\)
\(108\) −1.66898 + 2.77360i −0.160597 + 0.266889i
\(109\) −4.15676 5.06503i −0.398146 0.485142i 0.534892 0.844920i \(-0.320352\pi\)
−0.933038 + 0.359778i \(0.882852\pi\)
\(110\) −1.12398 + 0.875591i −0.107167 + 0.0834843i
\(111\) −24.7073 10.2341i −2.34512 0.971379i
\(112\) 2.13577 6.95374i 0.201812 0.657067i
\(113\) −11.1329 + 4.61139i −1.04729 + 0.433804i −0.838925 0.544247i \(-0.816816\pi\)
−0.208369 + 0.978050i \(0.566816\pi\)
\(114\) 4.85099 8.54589i 0.454337 0.800396i
\(115\) 0.292489 2.96969i 0.0272747 0.276925i
\(116\) −9.03414 3.25016i −0.838799 0.301770i
\(117\) −2.53633 4.74513i −0.234483 0.438688i
\(118\) 19.1886 3.31238i 1.76645 0.304930i
\(119\) −2.95594 + 1.97509i −0.270970 + 0.181057i
\(120\) 4.17759 + 5.96464i 0.381360 + 0.544494i
\(121\) 5.54737 8.30223i 0.504307 0.754748i
\(122\) 0.136165 0.0523889i 0.0123278 0.00474307i
\(123\) −0.858776 + 0.0845821i −0.0774332 + 0.00762651i
\(124\) 4.44964 5.97794i 0.399590 0.536835i
\(125\) 0.956940 0.290285i 0.0855913 0.0259639i
\(126\) −9.30770 + 0.678459i −0.829196 + 0.0604419i
\(127\) −4.94265 −0.438589 −0.219295 0.975659i \(-0.570376\pi\)
−0.219295 + 0.975659i \(0.570376\pi\)
\(128\) 5.51662 + 9.87759i 0.487605 + 0.873064i
\(129\) 18.1004 1.59365
\(130\) −2.09141 + 0.152447i −0.183429 + 0.0133705i
\(131\) −11.3712 + 3.44941i −0.993504 + 0.301376i −0.744861 0.667219i \(-0.767484\pi\)
−0.248642 + 0.968595i \(0.579984\pi\)
\(132\) 4.16142 + 3.09752i 0.362205 + 0.269605i
\(133\) 4.88449 0.481080i 0.423539 0.0417149i
\(134\) −0.949817 + 0.365438i −0.0820517 + 0.0315691i
\(135\) 0.899197 1.34574i 0.0773906 0.115823i
\(136\) 0.959453 5.44529i 0.0822724 0.466930i
\(137\) 14.6636 9.79787i 1.25279 0.837089i 0.261048 0.965326i \(-0.415932\pi\)
0.991744 + 0.128237i \(0.0409319\pi\)
\(138\) −10.7068 + 1.84823i −0.911421 + 0.157332i
\(139\) 3.31027 + 6.19307i 0.280773 + 0.525290i 0.982291 0.187362i \(-0.0599939\pi\)
−0.701518 + 0.712652i \(0.747494\pi\)
\(140\) −1.23127 + 3.42243i −0.104061 + 0.289248i
\(141\) 0.124071 1.25972i 0.0104487 0.106087i
\(142\) −3.18442 + 5.60993i −0.267230 + 0.470775i
\(143\) −1.38013 + 0.571669i −0.115412 + 0.0478054i
\(144\) 9.24683 11.1879i 0.770569 0.932324i
\(145\) 4.43509 + 1.83707i 0.368314 + 0.152561i
\(146\) 5.25644 4.09484i 0.435026 0.338891i
\(147\) 6.03143 + 7.34932i 0.497464 + 0.606161i
\(148\) 17.8002 + 10.7111i 1.46317 + 0.880445i
\(149\) 6.39537 21.0827i 0.523929 1.72716i −0.150298 0.988641i \(-0.548023\pi\)
0.674228 0.738523i \(-0.264477\pi\)
\(150\) −1.94529 3.07785i −0.158832 0.251305i
\(151\) −3.36220 + 16.9029i −0.273612 + 1.37554i 0.562417 + 0.826853i \(0.309871\pi\)
−0.836029 + 0.548685i \(0.815129\pi\)
\(152\) −4.71204 + 6.00563i −0.382197 + 0.487121i
\(153\) −6.95718 + 1.38387i −0.562454 + 0.111879i
\(154\) −0.0658353 + 2.59024i −0.00530516 + 0.208727i
\(155\) −2.36381 + 2.88031i −0.189866 + 0.231352i
\(156\) 2.55972 + 7.19327i 0.204942 + 0.575922i
\(157\) 20.6575 + 11.0417i 1.64865 + 0.881221i 0.991887 + 0.127122i \(0.0405740\pi\)
0.656761 + 0.754099i \(0.271926\pi\)
\(158\) 1.95072 0.979791i 0.155191 0.0779480i
\(159\) −6.96800 + 6.96800i −0.552599 + 0.552599i
\(160\) −2.52144 5.06382i −0.199338 0.400330i
\(161\) −3.83731 3.83731i −0.302422 0.302422i
\(162\) 9.01976 + 2.98841i 0.708660 + 0.234792i
\(163\) 3.18011 5.94958i 0.249086 0.466007i −0.726042 0.687650i \(-0.758642\pi\)
0.975128 + 0.221644i \(0.0711422\pi\)
\(164\) 0.669473 + 0.0340536i 0.0522770 + 0.00265914i
\(165\) −2.00507 1.64551i −0.156094 0.128103i
\(166\) 9.61913 + 10.1209i 0.746590 + 0.785531i
\(167\) 1.27524 + 6.41106i 0.0986809 + 0.496102i 0.998240 + 0.0593034i \(0.0188879\pi\)
−0.899559 + 0.436799i \(0.856112\pi\)
\(168\) 13.2047 + 1.00860i 1.01876 + 0.0778150i
\(169\) 10.5938 + 2.10725i 0.814911 + 0.162096i
\(170\) −0.608064 + 2.69689i −0.0466364 + 0.206842i
\(171\) 9.37152 + 2.84282i 0.716658 + 0.217396i
\(172\) −13.9049 2.08726i −1.06024 0.159152i
\(173\) −10.7119 + 8.79107i −0.814414 + 0.668373i −0.946442 0.322873i \(-0.895351\pi\)
0.132028 + 0.991246i \(0.457851\pi\)
\(174\) 2.15465 17.3456i 0.163344 1.31497i
\(175\) 0.695943 1.68015i 0.0526083 0.127008i
\(176\) −2.83964 2.85942i −0.214046 0.215537i
\(177\) 13.5661 + 32.7515i 1.01969 + 2.46175i
\(178\) 19.5997 5.40566i 1.46906 0.405171i
\(179\) −10.2350 1.00806i −0.764998 0.0753457i −0.292011 0.956415i \(-0.594324\pi\)
−0.472987 + 0.881069i \(0.656824\pi\)
\(180\) −4.88302 + 5.36883i −0.363959 + 0.400169i
\(181\) 23.2235 12.4132i 1.72619 0.922669i 0.766217 0.642582i \(-0.222137\pi\)
0.959975 0.280087i \(-0.0903633\pi\)
\(182\) −2.19855 + 3.11595i −0.162967 + 0.230970i
\(183\) 0.147563 + 0.220844i 0.0109082 + 0.0163252i
\(184\) 8.43816 0.185172i 0.622070 0.0136510i
\(185\) −8.63664 5.77082i −0.634978 0.424279i
\(186\) 12.3982 + 5.50863i 0.909082 + 0.403913i
\(187\) 0.193040 + 1.95997i 0.0141165 + 0.143327i
\(188\) −0.240578 + 0.953419i −0.0175459 + 0.0695352i
\(189\) −0.854425 2.81666i −0.0621503 0.204882i
\(190\) 2.49552 2.88793i 0.181044 0.209512i
\(191\) 13.0734i 0.945955i 0.881075 + 0.472977i \(0.156821\pi\)
−0.881075 + 0.472977i \(0.843179\pi\)
\(192\) −15.3331 + 13.7524i −1.10657 + 0.992495i
\(193\) 11.0915i 0.798383i 0.916868 + 0.399191i \(0.130709\pi\)
−0.916868 + 0.399191i \(0.869291\pi\)
\(194\) −15.6111 13.4899i −1.12081 0.968518i
\(195\) −1.10818 3.65318i −0.0793585 0.261610i
\(196\) −3.78590 6.34132i −0.270422 0.452952i
\(197\) −0.728791 7.39954i −0.0519242 0.527195i −0.985602 0.169081i \(-0.945920\pi\)
0.933678 0.358114i \(-0.116580\pi\)
\(198\) −2.09920 + 4.72464i −0.149183 + 0.335766i
\(199\) −19.5326 13.0513i −1.38463 0.925181i −0.999998 0.00211235i \(-0.999328\pi\)
−0.384634 0.923069i \(-0.625672\pi\)
\(200\) 1.13946 + 2.58875i 0.0805721 + 0.183052i
\(201\) −1.02933 1.54049i −0.0726030 0.108658i
\(202\) −7.11448 5.01982i −0.500573 0.353193i
\(203\) 7.69929 4.11535i 0.540384 0.288841i
\(204\) 10.0547 0.476470i 0.703972 0.0333596i
\(205\) −0.333555 0.0328523i −0.0232965 0.00229451i
\(206\) −0.392734 1.42396i −0.0273631 0.0992121i
\(207\) −4.14373 10.0038i −0.288009 0.695315i
\(208\) −1.13690 5.82110i −0.0788301 0.403621i
\(209\) 1.04052 2.51205i 0.0719745 0.173762i
\(210\) −6.57107 0.816252i −0.453447 0.0563268i
\(211\) 6.47764 5.31606i 0.445939 0.365973i −0.384460 0.923142i \(-0.625612\pi\)
0.830399 + 0.557169i \(0.188112\pi\)
\(212\) 6.15640 4.54936i 0.422823 0.312451i
\(213\) −11.2380 3.40902i −0.770018 0.233582i
\(214\) 8.57382 + 1.93313i 0.586094 + 0.132146i
\(215\) 6.89526 + 1.37155i 0.470253 + 0.0935391i
\(216\) 4.08367 + 2.06889i 0.277859 + 0.140770i
\(217\) 1.32198 + 6.64602i 0.0897416 + 0.451161i
\(218\) −6.71672 + 6.38375i −0.454913 + 0.432362i
\(219\) 9.37700 + 7.69550i 0.633639 + 0.520014i
\(220\) 1.35055 + 1.49531i 0.0910544 + 0.100814i
\(221\) −1.36639 + 2.55634i −0.0919136 + 0.171958i
\(222\) −11.8947 + 35.9012i −0.798321 + 2.40953i
\(223\) 3.37110 + 3.37110i 0.225746 + 0.225746i 0.810913 0.585167i \(-0.198971\pi\)
−0.585167 + 0.810913i \(0.698971\pi\)
\(224\) −10.0276 2.29752i −0.670000 0.153509i
\(225\) 2.56584 2.56584i 0.171056 0.171056i
\(226\) 7.64884 + 15.2285i 0.508793 + 1.01299i
\(227\) −9.63755 5.15138i −0.639666 0.341909i 0.119472 0.992838i \(-0.461880\pi\)
−0.759139 + 0.650929i \(0.774380\pi\)
\(228\) −12.5525 5.96356i −0.831308 0.394946i
\(229\) 10.9257 13.3130i 0.721992 0.879750i −0.274657 0.961542i \(-0.588564\pi\)
0.996649 + 0.0817922i \(0.0260644\pi\)
\(230\) −4.21873 0.107226i −0.278175 0.00707030i
\(231\) −4.62648 + 0.920265i −0.304400 + 0.0605490i
\(232\) −3.65544 + 13.0766i −0.239991 + 0.858518i
\(233\) 0.379717 1.90897i 0.0248761 0.125061i −0.966352 0.257224i \(-0.917192\pi\)
0.991228 + 0.132163i \(0.0421923\pi\)
\(234\) −6.43211 + 4.06527i −0.420480 + 0.265755i
\(235\) 0.142719 0.470481i 0.00930996 0.0306908i
\(236\) −6.64484 26.7244i −0.432543 1.73961i
\(237\) 2.52117 + 3.07205i 0.163767 + 0.199551i
\(238\) 3.08972 + 3.96620i 0.200277 + 0.257091i
\(239\) −8.26138 3.42198i −0.534384 0.221349i 0.0991378 0.995074i \(-0.468392\pi\)
−0.633522 + 0.773724i \(0.718392\pi\)
\(240\) 7.98344 6.50561i 0.515329 0.419935i
\(241\) −18.9723 + 7.85857i −1.22211 + 0.506215i −0.898080 0.439832i \(-0.855038\pi\)
−0.324030 + 0.946047i \(0.605038\pi\)
\(242\) −12.2804 6.97084i −0.789414 0.448103i
\(243\) −2.17148 + 22.0474i −0.139300 + 1.41434i
\(244\) −0.0878925 0.186670i −0.00562674 0.0119504i
\(245\) 1.74075 + 3.25671i 0.111212 + 0.208064i
\(246\) 0.207593 + 1.20258i 0.0132357 + 0.0766739i
\(247\) 3.32738 2.22328i 0.211716 0.141464i
\(248\) −8.88919 5.66149i −0.564464 0.359505i
\(249\) −14.1224 + 21.1357i −0.894971 + 1.33942i
\(250\) −0.507824 1.31989i −0.0321176 0.0834773i
\(251\) 4.66150 0.459117i 0.294231 0.0289792i 0.0501753 0.998740i \(-0.484022\pi\)
0.244056 + 0.969761i \(0.421522\pi\)
\(252\) 1.91389 + 13.0585i 0.120564 + 0.822608i
\(253\) −2.87689 + 0.872695i −0.180869 + 0.0548659i
\(254\) 0.508166 + 6.97147i 0.0318851 + 0.437429i
\(255\) −5.03300 −0.315179
\(256\) 13.3649 8.79658i 0.835305 0.549786i
\(257\) 4.09527 0.255456 0.127728 0.991809i \(-0.459232\pi\)
0.127728 + 0.991809i \(0.459232\pi\)
\(258\) −1.86095 25.5301i −0.115858 1.58944i
\(259\) −18.0766 + 5.48348i −1.12323 + 0.340727i
\(260\) 0.430045 + 2.93420i 0.0266703 + 0.181971i
\(261\) 17.3354 1.70739i 1.07304 0.105685i
\(262\) 6.03439 + 15.6841i 0.372806 + 0.968965i
\(263\) −6.96230 + 10.4198i −0.429314 + 0.642513i −0.981557 0.191170i \(-0.938772\pi\)
0.552243 + 0.833683i \(0.313772\pi\)
\(264\) 3.94112 6.18802i 0.242559 0.380846i
\(265\) −3.18242 + 2.12643i −0.195495 + 0.130625i
\(266\) −1.18073 6.83997i −0.0723955 0.419385i
\(267\) 17.4483 + 32.6434i 1.06782 + 1.99774i
\(268\) 0.613093 + 1.30212i 0.0374506 + 0.0795395i
\(269\) −0.175739 + 1.78430i −0.0107150 + 0.108791i −0.999055 0.0434752i \(-0.986157\pi\)
0.988340 + 0.152266i \(0.0486571\pi\)
\(270\) −1.99058 1.12993i −0.121143 0.0687655i
\(271\) −25.1023 + 10.3977i −1.52485 + 0.631616i −0.978557 0.205976i \(-0.933963\pi\)
−0.546298 + 0.837591i \(0.683963\pi\)
\(272\) −7.77907 0.793438i −0.471675 0.0481092i
\(273\) −6.41410 2.65681i −0.388199 0.160797i
\(274\) −15.3272 19.6752i −0.925951 1.18862i
\(275\) −0.639130 0.778783i −0.0385410 0.0469624i
\(276\) 3.70767 + 14.9116i 0.223176 + 0.897571i
\(277\) 4.96782 16.3767i 0.298487 0.983981i −0.671536 0.740972i \(-0.734365\pi\)
0.970024 0.243010i \(-0.0781347\pi\)
\(278\) 8.39482 5.30576i 0.503488 0.318218i
\(279\) −2.63775 + 13.2609i −0.157918 + 0.793907i
\(280\) 4.95382 + 1.38480i 0.296048 + 0.0827575i
\(281\) −26.6269 + 5.29643i −1.58843 + 0.315958i −0.908683 0.417488i \(-0.862911\pi\)
−0.679748 + 0.733446i \(0.737911\pi\)
\(282\) −1.78955 0.0454846i −0.106566 0.00270857i
\(283\) 19.4417 23.6898i 1.15569 1.40821i 0.258816 0.965927i \(-0.416668\pi\)
0.896874 0.442286i \(-0.145832\pi\)
\(284\) 8.24004 + 3.91476i 0.488956 + 0.232298i
\(285\) 6.12806 + 3.27552i 0.362995 + 0.194025i
\(286\) 0.948218 + 1.88786i 0.0560693 + 0.111632i
\(287\) −0.431006 + 0.431006i −0.0254415 + 0.0254415i
\(288\) −16.7309 11.8921i −0.985877 0.700750i
\(289\) −9.31863 9.31863i −0.548155 0.548155i
\(290\) 2.13516 6.44444i 0.125381 0.378430i
\(291\) 17.7063 33.1262i 1.03796 1.94189i
\(292\) −6.31608 6.99306i −0.369620 0.409238i
\(293\) −2.63121 2.15938i −0.153717 0.126152i 0.554391 0.832256i \(-0.312951\pi\)
−0.708108 + 0.706104i \(0.750451\pi\)
\(294\) 9.74589 9.26276i 0.568392 0.540215i
\(295\) 2.68620 + 13.5045i 0.156397 + 0.786260i
\(296\) 13.2776 26.2080i 0.771744 1.52331i
\(297\) −1.59927 0.318114i −0.0927988 0.0184588i
\(298\) −30.3941 6.85293i −1.76068 0.396979i
\(299\) −4.23415 1.28442i −0.244867 0.0742797i
\(300\) −4.14122 + 3.06021i −0.239093 + 0.176681i
\(301\) 9.88316 8.11090i 0.569656 0.467505i
\(302\) 24.1867 + 3.00445i 1.39179 + 0.172887i
\(303\) 6.06614 14.6450i 0.348491 0.841331i
\(304\) 8.95523 + 6.02875i 0.513618 + 0.345772i
\(305\) 0.0394790 + 0.0953108i 0.00226056 + 0.00545748i
\(306\) 2.66719 + 9.67062i 0.152473 + 0.552833i
\(307\) −11.6462 1.14705i −0.664686 0.0654658i −0.239953 0.970785i \(-0.577132\pi\)
−0.424733 + 0.905319i \(0.639632\pi\)
\(308\) 3.66022 0.173450i 0.208561 0.00988321i
\(309\) 2.37162 1.26766i 0.134917 0.0721145i
\(310\) 4.30562 + 3.03795i 0.244543 + 0.172544i
\(311\) −12.5582 18.7947i −0.712109 1.06575i −0.994324 0.106396i \(-0.966069\pi\)
0.282214 0.959351i \(-0.408931\pi\)
\(312\) 9.88273 4.34997i 0.559499 0.246269i
\(313\) −19.5465 13.0606i −1.10483 0.738227i −0.137190 0.990545i \(-0.543807\pi\)
−0.967644 + 0.252318i \(0.918807\pi\)
\(314\) 13.4501 30.2720i 0.759033 1.70835i
\(315\) −0.646815 6.56722i −0.0364439 0.370021i
\(316\) −1.58253 2.65070i −0.0890240 0.149114i
\(317\) −4.51494 14.8838i −0.253585 0.835956i −0.987623 0.156848i \(-0.949867\pi\)
0.734038 0.679108i \(-0.237633\pi\)
\(318\) 10.5446 + 9.11177i 0.591310 + 0.510963i
\(319\) 4.83635i 0.270784i
\(320\) −6.88314 + 4.07705i −0.384779 + 0.227914i
\(321\) 16.0007i 0.893072i
\(322\) −5.01789 + 5.80693i −0.279636 + 0.323608i
\(323\) −1.53151 5.04872i −0.0852156 0.280918i
\(324\) 3.28772 13.0294i 0.182651 0.723854i
\(325\) −0.145337 1.47563i −0.00806185 0.0818533i
\(326\) −8.71866 3.87377i −0.482882 0.214548i
\(327\) −14.0267 9.37234i −0.775678 0.518292i
\(328\) −0.0207985 0.947773i −0.00114840 0.0523320i
\(329\) −0.496741 0.743426i −0.0273862 0.0409864i
\(330\) −2.11481 + 2.99727i −0.116416 + 0.164994i
\(331\) 26.8301 14.3410i 1.47472 0.788252i 0.478747 0.877953i \(-0.341091\pi\)
0.995969 + 0.0897005i \(0.0285910\pi\)
\(332\) 13.2862 14.6081i 0.729176 0.801722i
\(333\) −37.5099 3.69441i −2.05553 0.202452i
\(334\) 8.91150 2.45782i 0.487616 0.134486i
\(335\) −0.275385 0.664839i −0.0150459 0.0363241i
\(336\) 0.0649924 18.7285i 0.00354562 1.02172i
\(337\) 2.34353 5.65778i 0.127660 0.308199i −0.847107 0.531422i \(-0.821658\pi\)
0.974767 + 0.223223i \(0.0716578\pi\)
\(338\) 1.88303 15.1590i 0.102423 0.824539i
\(339\) −23.9823 + 19.6817i −1.30254 + 1.06897i
\(340\) 3.86640 + 0.580384i 0.209685 + 0.0314757i
\(341\) 3.59228 + 1.08970i 0.194533 + 0.0590108i
\(342\) 3.04621 13.5105i 0.164720 0.730567i
\(343\) 19.0720 + 3.79366i 1.02979 + 0.204839i
\(344\) −1.51443 + 19.8271i −0.0816524 + 1.06900i
\(345\) −1.49884 7.53518i −0.0806949 0.405680i
\(346\) 13.5009 + 14.2051i 0.725811 + 0.763669i
\(347\) −4.61441 3.78694i −0.247714 0.203294i 0.502340 0.864670i \(-0.332473\pi\)
−0.750054 + 0.661376i \(0.769973\pi\)
\(348\) −24.6870 1.25574i −1.32336 0.0673145i
\(349\) −12.2202 + 22.8624i −0.654133 + 1.22380i 0.308044 + 0.951372i \(0.400326\pi\)
−0.962177 + 0.272425i \(0.912174\pi\)
\(350\) −2.44136 0.808867i −0.130496 0.0432357i
\(351\) −1.69697 1.69697i −0.0905778 0.0905778i
\(352\) −3.74118 + 4.29922i −0.199405 + 0.229149i
\(353\) −2.25857 + 2.25857i −0.120212 + 0.120212i −0.764653 0.644442i \(-0.777090\pi\)
0.644442 + 0.764653i \(0.277090\pi\)
\(354\) 44.8003 22.5019i 2.38111 1.19596i
\(355\) −4.02275 2.15020i −0.213505 0.114121i
\(356\) −9.63961 27.0890i −0.510898 1.43571i
\(357\) −5.80657 + 7.07533i −0.307316 + 0.374466i
\(358\) −0.369553 + 14.5398i −0.0195315 + 0.768451i
\(359\) −35.7579 + 7.11269i −1.88723 + 0.375394i −0.996815 0.0797528i \(-0.974587\pi\)
−0.890417 + 0.455146i \(0.849587\pi\)
\(360\) 8.07461 + 6.33537i 0.425570 + 0.333904i
\(361\) 2.28570 11.4910i 0.120300 0.604790i
\(362\) −19.8962 31.4799i −1.04572 1.65455i
\(363\) 7.46251 24.6006i 0.391680 1.29120i
\(364\) 4.62100 + 2.78063i 0.242206 + 0.145745i
\(365\) 2.98899 + 3.64210i 0.156451 + 0.190636i
\(366\) 0.296323 0.230839i 0.0154890 0.0120662i
\(367\) −27.0678 11.2119i −1.41293 0.585255i −0.459856 0.887993i \(-0.652099\pi\)
−0.953074 + 0.302739i \(0.902099\pi\)
\(368\) −1.12873 11.8827i −0.0588390 0.619431i
\(369\) −1.12363 + 0.465423i −0.0584939 + 0.0242290i
\(370\) −7.25162 + 12.7750i −0.376994 + 0.664143i
\(371\) −0.682256 + 6.92706i −0.0354209 + 0.359635i
\(372\) 6.49508 18.0537i 0.336754 0.936041i
\(373\) 3.83681 + 7.17817i 0.198663 + 0.371672i 0.961451 0.274977i \(-0.0886701\pi\)
−0.762788 + 0.646648i \(0.776170\pi\)
\(374\) 2.74464 0.473787i 0.141922 0.0244989i
\(375\) 2.14071 1.43038i 0.110546 0.0738645i
\(376\) 1.36950 + 0.241305i 0.0706268 + 0.0124443i
\(377\) 3.95458 5.91844i 0.203671 0.304815i
\(378\) −3.88497 + 1.49473i −0.199822 + 0.0768806i
\(379\) −2.97619 + 0.293129i −0.152876 + 0.0150570i −0.174166 0.984716i \(-0.555723\pi\)
0.0212894 + 0.999773i \(0.493223\pi\)
\(380\) −4.32991 3.22294i −0.222120 0.165333i
\(381\) −12.1775 + 3.69400i −0.623871 + 0.189249i
\(382\) 18.4396 1.34410i 0.943452 0.0687703i
\(383\) −8.35886 −0.427118 −0.213559 0.976930i \(-0.568506\pi\)
−0.213559 + 0.976930i \(0.568506\pi\)
\(384\) 20.9738 + 20.2130i 1.07032 + 1.03149i
\(385\) −1.83217 −0.0933758
\(386\) 15.6442 1.14034i 0.796270 0.0580419i
\(387\) 24.4121 7.40534i 1.24094 0.376434i
\(388\) −17.4221 + 23.4060i −0.884472 + 1.18826i
\(389\) −6.22093 + 0.612708i −0.315414 + 0.0310655i −0.254485 0.967077i \(-0.581906\pi\)
−0.0609283 + 0.998142i \(0.519406\pi\)
\(390\) −5.03878 + 1.93865i −0.255148 + 0.0981674i
\(391\) −3.24087 + 4.85030i −0.163898 + 0.245290i
\(392\) −8.55502 + 5.99187i −0.432094 + 0.302635i
\(393\) −25.4378 + 16.9970i −1.28317 + 0.857384i
\(394\) −10.3619 + 1.78870i −0.522025 + 0.0901135i
\(395\) 0.727641 + 1.36132i 0.0366116 + 0.0684955i
\(396\) 6.87979 + 2.47510i 0.345723 + 0.124379i
\(397\) 1.36542 13.8633i 0.0685285 0.695781i −0.898133 0.439724i \(-0.855076\pi\)
0.966662 0.256057i \(-0.0824236\pi\)
\(398\) −16.4003 + 28.8921i −0.822072 + 1.44823i
\(399\) 11.6746 4.83579i 0.584462 0.242092i
\(400\) 3.53421 1.87333i 0.176710 0.0936667i
\(401\) −19.8938 8.24027i −0.993448 0.411500i −0.174058 0.984735i \(-0.555688\pi\)
−0.819390 + 0.573236i \(0.805688\pi\)
\(402\) −2.06700 + 1.61022i −0.103092 + 0.0803103i
\(403\) 3.50499 + 4.27084i 0.174596 + 0.212746i
\(404\) −6.34885 + 10.5509i −0.315867 + 0.524925i
\(405\) −1.95039 + 6.42957i −0.0969156 + 0.319488i
\(406\) −6.59617 10.4365i −0.327362 0.517955i
\(407\) −2.04157 + 10.2637i −0.101197 + 0.508752i
\(408\) −1.70580 14.1329i −0.0844496 0.699684i
\(409\) −29.6496 + 5.89768i −1.46608 + 0.291621i −0.862653 0.505797i \(-0.831199\pi\)
−0.603427 + 0.797418i \(0.706199\pi\)
\(410\) −0.0120437 + 0.473848i −0.000594794 + 0.0234017i
\(411\) 28.8047 35.0986i 1.42083 1.73129i
\(412\) −1.96808 + 0.700340i −0.0969603 + 0.0345033i
\(413\) 22.0835 + 11.8039i 1.08666 + 0.580830i
\(414\) −13.6841 + 6.87313i −0.672537 + 0.337796i
\(415\) −6.98140 + 6.98140i −0.342703 + 0.342703i
\(416\) −8.09361 + 2.20205i −0.396822 + 0.107964i
\(417\) 12.7842 + 12.7842i 0.626045 + 0.626045i
\(418\) −3.65015 1.20936i −0.178535 0.0591517i
\(419\) −7.04102 + 13.1728i −0.343977 + 0.643535i −0.993116 0.117135i \(-0.962629\pi\)
0.649140 + 0.760669i \(0.275129\pi\)
\(420\) −0.475713 + 9.35223i −0.0232124 + 0.456342i
\(421\) −4.16939 3.42173i −0.203204 0.166765i 0.527288 0.849687i \(-0.323209\pi\)
−0.730491 + 0.682922i \(0.760709\pi\)
\(422\) −8.16414 8.58997i −0.397424 0.418153i
\(423\) −0.348047 1.74975i −0.0169226 0.0850757i
\(424\) −7.04970 8.21569i −0.342364 0.398989i
\(425\) −1.91729 0.381374i −0.0930025 0.0184993i
\(426\) −3.65292 + 16.2014i −0.176984 + 0.784961i
\(427\) 0.179533 + 0.0544609i 0.00868823 + 0.00263555i
\(428\) 1.84513 12.2919i 0.0891878 0.594150i
\(429\) −2.97306 + 2.43992i −0.143540 + 0.117801i
\(430\) 1.22562 9.86658i 0.0591045 0.475809i
\(431\) −10.6845 + 25.7946i −0.514653 + 1.24248i 0.426496 + 0.904490i \(0.359748\pi\)
−0.941149 + 0.337993i \(0.890252\pi\)
\(432\) 2.49825 5.97261i 0.120197 0.287357i
\(433\) −0.0680172 0.164208i −0.00326870 0.00789133i 0.922237 0.386626i \(-0.126359\pi\)
−0.925505 + 0.378734i \(0.876359\pi\)
\(434\) 9.23811 2.54790i 0.443443 0.122303i
\(435\) 12.2999 + 1.21144i 0.589737 + 0.0580840i
\(436\) 9.69465 + 8.81741i 0.464290 + 0.422277i
\(437\) 7.10262 3.79643i 0.339764 0.181608i
\(438\) 9.89022 14.0172i 0.472573 0.669767i
\(439\) 2.14776 + 3.21435i 0.102507 + 0.153413i 0.879177 0.476495i \(-0.158093\pi\)
−0.776670 + 0.629907i \(0.783093\pi\)
\(440\) 1.97024 2.05866i 0.0939277 0.0981426i
\(441\) 11.1414 + 7.44445i 0.530543 + 0.354497i
\(442\) 3.74613 + 1.66444i 0.178185 + 0.0791691i
\(443\) −0.142147 1.44325i −0.00675363 0.0685707i 0.991217 0.132244i \(-0.0422183\pi\)
−0.997971 + 0.0636736i \(0.979718\pi\)
\(444\) 51.8605 + 13.0861i 2.46119 + 0.621037i
\(445\) 4.17328 + 13.7575i 0.197832 + 0.652166i
\(446\) 4.40825 5.10143i 0.208737 0.241560i
\(447\) 56.7223i 2.68287i
\(448\) −2.20962 + 14.3799i −0.104395 + 0.679387i
\(449\) 15.8998i 0.750357i −0.926953 0.375179i \(-0.877581\pi\)
0.926953 0.375179i \(-0.122419\pi\)
\(450\) −3.88284 3.35524i −0.183039 0.158168i
\(451\) 0.0980210 + 0.323132i 0.00461563 + 0.0152157i
\(452\) 20.6930 12.3542i 0.973317 0.581090i
\(453\) 4.34912 + 44.1574i 0.204340 + 2.07469i
\(454\) −6.27501 + 14.1231i −0.294501 + 0.662830i
\(455\) −2.24210 1.49812i −0.105111 0.0702330i
\(456\) −7.12087 + 18.3180i −0.333465 + 0.857821i
\(457\) −2.71890 4.06912i −0.127185 0.190345i 0.762412 0.647091i \(-0.224015\pi\)
−0.889597 + 0.456746i \(0.849015\pi\)
\(458\) −19.9010 14.0417i −0.929910 0.656125i
\(459\) −2.79036 + 1.49148i −0.130243 + 0.0696163i
\(460\) 0.282498 + 5.96143i 0.0131716 + 0.277953i
\(461\) −20.6437 2.03323i −0.961473 0.0946969i −0.394914 0.918718i \(-0.629226\pi\)
−0.566559 + 0.824021i \(0.691726\pi\)
\(462\) 1.77367 + 6.43091i 0.0825185 + 0.299193i
\(463\) 13.5357 + 32.6781i 0.629059 + 1.51868i 0.840794 + 0.541355i \(0.182088\pi\)
−0.211735 + 0.977327i \(0.567912\pi\)
\(464\) 18.8199 + 3.81146i 0.873694 + 0.176943i
\(465\) −3.67118 + 8.86301i −0.170247 + 0.411012i
\(466\) −2.73158 0.339315i −0.126538 0.0157184i
\(467\) 20.7958 17.0666i 0.962313 0.789750i −0.0153599 0.999882i \(-0.504889\pi\)
0.977673 + 0.210132i \(0.0673894\pi\)
\(468\) 6.39525 + 8.65434i 0.295621 + 0.400047i
\(469\) −1.25233 0.379891i −0.0578274 0.0175418i
\(470\) −0.678274 0.152930i −0.0312864 0.00705412i
\(471\) 59.1472 + 11.7651i 2.72536 + 0.542108i
\(472\) −37.0108 + 12.1200i −1.70356 + 0.557866i
\(473\) −1.38179 6.94675i −0.0635350 0.319412i
\(474\) 4.07383 3.87188i 0.187117 0.177841i
\(475\) 2.08625 + 1.71214i 0.0957238 + 0.0785585i
\(476\) 5.27655 4.76574i 0.241850 0.218437i
\(477\) −6.54699 + 12.2486i −0.299766 + 0.560823i
\(478\) −3.97723 + 12.0043i −0.181914 + 0.549062i
\(479\) 25.4923 + 25.4923i 1.16477 + 1.16477i 0.983418 + 0.181353i \(0.0580476\pi\)
0.181353 + 0.983418i \(0.441952\pi\)
\(480\) −9.99677 10.5916i −0.456288 0.483436i
\(481\) −10.8907 + 10.8907i −0.496575 + 0.496575i
\(482\) 13.0349 + 25.9519i 0.593722 + 1.18208i
\(483\) −12.3221 6.58628i −0.560673 0.299686i
\(484\) −8.56959 + 18.0378i −0.389527 + 0.819902i
\(485\) 9.25523 11.2775i 0.420259 0.512087i
\(486\) 31.3205 + 0.796064i 1.42073 + 0.0361102i
\(487\) 30.2410 6.01531i 1.37035 0.272580i 0.545585 0.838055i \(-0.316307\pi\)
0.824765 + 0.565476i \(0.191307\pi\)
\(488\) −0.254257 + 0.143162i −0.0115097 + 0.00648064i
\(489\) 3.38847 17.0350i 0.153232 0.770350i
\(490\) 4.41453 2.79010i 0.199428 0.126044i
\(491\) −2.34349 + 7.72546i −0.105760 + 0.348645i −0.993809 0.111105i \(-0.964561\pi\)
0.888048 + 0.459750i \(0.152061\pi\)
\(492\) 1.67487 0.416445i 0.0755088 0.0187748i
\(493\) −5.95333 7.25416i −0.268125 0.326711i
\(494\) −3.47797 4.46459i −0.156481 0.200871i
\(495\) −3.37746 1.39899i −0.151806 0.0628799i
\(496\) −7.07145 + 13.1200i −0.317517 + 0.589107i
\(497\) −7.66377 + 3.17444i −0.343767 + 0.142393i
\(498\) 31.2632 + 17.7462i 1.40094 + 0.795228i
\(499\) 1.52480 15.4816i 0.0682595 0.693051i −0.898776 0.438408i \(-0.855542\pi\)
0.967035 0.254642i \(-0.0819577\pi\)
\(500\) −1.80946 + 0.851972i −0.0809215 + 0.0381013i
\(501\) 7.93331 + 14.8422i 0.354434 + 0.663100i
\(502\) −1.12683 6.52770i −0.0502929 0.291346i
\(503\) 27.5303 18.3952i 1.22752 0.820200i 0.238957 0.971030i \(-0.423195\pi\)
0.988560 + 0.150830i \(0.0481946\pi\)
\(504\) 18.2219 4.04207i 0.811666 0.180048i
\(505\) 3.42058 5.11926i 0.152214 0.227804i
\(506\) 1.52669 + 3.96805i 0.0678697 + 0.176401i
\(507\) 27.6755 2.72580i 1.22911 0.121057i
\(508\) 9.78081 1.43351i 0.433953 0.0636016i
\(509\) −22.4492 + 6.80989i −0.995044 + 0.301843i −0.745489 0.666517i \(-0.767784\pi\)
−0.249554 + 0.968361i \(0.580284\pi\)
\(510\) 0.517455 + 7.09891i 0.0229133 + 0.314345i
\(511\) 8.56841 0.379044
\(512\) −13.7814 17.9464i −0.609057 0.793126i
\(513\) 4.36815 0.192858
\(514\) −0.421045 5.77627i −0.0185715 0.254780i
\(515\) 0.999512 0.303199i 0.0440438 0.0133605i
\(516\) −35.8182 + 5.24963i −1.57681 + 0.231102i
\(517\) −0.492938 + 0.0485501i −0.0216794 + 0.00213523i
\(518\) 9.59279 + 24.9328i 0.421483 + 1.09548i
\(519\) −19.8214 + 29.6648i −0.870063 + 1.30214i
\(520\) 4.09439 0.908238i 0.179551 0.0398289i
\(521\) −15.8192 + 10.5700i −0.693051 + 0.463082i −0.851547 0.524277i \(-0.824335\pi\)
0.158496 + 0.987360i \(0.449335\pi\)
\(522\) −4.19052 24.2756i −0.183414 1.06251i
\(523\) 3.45444 + 6.46279i 0.151052 + 0.282598i 0.946054 0.324008i \(-0.105030\pi\)
−0.795002 + 0.606606i \(0.792530\pi\)
\(524\) 21.5015 10.1238i 0.939298 0.442262i
\(525\) 0.458932 4.65961i 0.0200294 0.203362i
\(526\) 15.4127 + 8.74883i 0.672024 + 0.381467i
\(527\) 6.72952 2.78746i 0.293143 0.121424i
\(528\) −9.13322 4.92264i −0.397473 0.214230i
\(529\) 13.0224 + 5.39407i 0.566193 + 0.234525i
\(530\) 3.32645 + 4.27009i 0.144492 + 0.185481i
\(531\) 31.6961 + 38.6218i 1.37549 + 1.67605i
\(532\) −9.52618 + 2.36863i −0.413012 + 0.102693i
\(533\) −0.144265 + 0.475580i −0.00624883 + 0.0205996i
\(534\) 44.2487 27.9664i 1.91483 1.21023i
\(535\) −1.21245 + 6.09538i −0.0524186 + 0.263526i
\(536\) 1.77357 0.998624i 0.0766064 0.0431340i
\(537\) −25.9698 + 5.16572i −1.12068 + 0.222917i
\(538\) 2.53478 + 0.0644257i 0.109282 + 0.00277759i
\(539\) 2.36015 2.87585i 0.101659 0.123871i
\(540\) −1.38908 + 2.92383i −0.0597765 + 0.125822i
\(541\) 9.49848 + 5.07704i 0.408372 + 0.218279i 0.662774 0.748819i \(-0.269379\pi\)
−0.254403 + 0.967098i \(0.581879\pi\)
\(542\) 17.2465 + 34.3370i 0.740800 + 1.47490i
\(543\) 47.9398 47.9398i 2.05729 2.05729i
\(544\) −0.319337 + 11.0537i −0.0136914 + 0.473925i
\(545\) −4.63321 4.63321i −0.198465 0.198465i
\(546\) −3.08790 + 9.32006i −0.132150 + 0.398862i
\(547\) 9.61992 17.9976i 0.411318 0.769522i −0.587905 0.808930i \(-0.700047\pi\)
0.999223 + 0.0394081i \(0.0125472\pi\)
\(548\) −26.1754 + 23.6414i −1.11816 + 1.00991i
\(549\) 0.289372 + 0.237481i 0.0123501 + 0.0101355i
\(550\) −1.03274 + 0.981544i −0.0440362 + 0.0418532i
\(551\) 2.52757 + 12.7070i 0.107678 + 0.541335i
\(552\) 20.6512 6.76266i 0.878972 0.287838i
\(553\) 2.75320 + 0.547646i 0.117078 + 0.0232883i
\(554\) −23.6096 5.32324i −1.00308 0.226163i
\(555\) −25.5915 7.76309i −1.08630 0.329525i
\(556\) −8.34672 11.2952i −0.353980 0.479021i
\(557\) 24.9898 20.5086i 1.05885 0.868977i 0.0671761 0.997741i \(-0.478601\pi\)
0.991675 + 0.128764i \(0.0411011\pi\)
\(558\) 18.9753 + 2.35709i 0.803287 + 0.0997836i
\(559\) 3.98924 9.63089i 0.168727 0.407343i
\(560\) 1.44390 7.12960i 0.0610161 0.301281i
\(561\) 1.94043 + 4.68461i 0.0819250 + 0.197784i
\(562\) 10.2080 + 37.0120i 0.430600 + 1.56126i
\(563\) −33.5886 3.30818i −1.41559 0.139423i −0.638891 0.769297i \(-0.720607\pi\)
−0.776698 + 0.629874i \(0.783107\pi\)
\(564\) 0.119834 + 2.52879i 0.00504590 + 0.106481i
\(565\) −10.6273 + 5.68040i −0.447093 + 0.238976i
\(566\) −35.4126 24.9864i −1.48850 1.05026i
\(567\) 6.78844 + 10.1596i 0.285088 + 0.426664i
\(568\) 4.67448 12.0248i 0.196137 0.504551i
\(569\) −12.2001 8.15182i −0.511453 0.341742i 0.272914 0.962038i \(-0.412012\pi\)
−0.784368 + 0.620296i \(0.787012\pi\)
\(570\) 3.98998 8.98022i 0.167122 0.376140i
\(571\) −3.93652 39.9681i −0.164738 1.67261i −0.621797 0.783178i \(-0.713597\pi\)
0.457059 0.889436i \(-0.348903\pi\)
\(572\) 2.56529 1.53153i 0.107260 0.0640365i
\(573\) 9.77065 + 32.2095i 0.408175 + 1.34557i
\(574\) 0.652234 + 0.563608i 0.0272237 + 0.0235246i
\(575\) 2.98406i 0.124444i
\(576\) −15.0534 + 24.8211i −0.627224 + 1.03421i
\(577\) 16.2143i 0.675011i 0.941324 + 0.337506i \(0.109583\pi\)
−0.941324 + 0.337506i \(0.890417\pi\)
\(578\) −12.1856 + 14.1017i −0.506854 + 0.586555i
\(579\) 8.28946 + 27.3267i 0.344498 + 1.13566i
\(580\) −9.30921 2.34901i −0.386544 0.0975373i
\(581\) 1.75992 + 17.8688i 0.0730138 + 0.741322i
\(582\) −48.5439 21.5684i −2.01221 0.894041i
\(583\) 3.20618 + 2.14230i 0.132787 + 0.0887252i
\(584\) −9.21415 + 9.62762i −0.381284 + 0.398394i
\(585\) −2.98922 4.47368i −0.123589 0.184964i
\(586\) −2.77522 + 3.93326i −0.114643 + 0.162481i
\(587\) −16.6721 + 8.91141i −0.688130 + 0.367813i −0.778108 0.628131i \(-0.783820\pi\)
0.0899779 + 0.995944i \(0.471320\pi\)
\(588\) −14.0669 12.7940i −0.580107 0.527615i
\(589\) −10.0078 0.985682i −0.412364 0.0406143i
\(590\) 18.7715 5.17724i 0.772810 0.213144i
\(591\) −7.32576 17.6860i −0.301342 0.727503i
\(592\) −38.3307 16.0331i −1.57538 0.658958i
\(593\) 10.3016 24.8703i 0.423036 1.02130i −0.558411 0.829565i \(-0.688589\pi\)
0.981447 0.191735i \(-0.0614113\pi\)
\(594\) −0.284266 + 2.28843i −0.0116636 + 0.0938952i
\(595\) −2.74811 + 2.25532i −0.112662 + 0.0924590i
\(596\) −6.54097 + 43.5746i −0.267929 + 1.78488i
\(597\) −57.8778 17.5570i −2.36878 0.718561i
\(598\) −1.37631 + 6.10421i −0.0562815 + 0.249620i
\(599\) 18.8457 + 3.74865i 0.770016 + 0.153166i 0.564438 0.825475i \(-0.309093\pi\)
0.205577 + 0.978641i \(0.434093\pi\)
\(600\) 4.74211 + 5.52644i 0.193596 + 0.225616i
\(601\) 6.61275 + 33.2445i 0.269740 + 1.35607i 0.843535 + 0.537074i \(0.180470\pi\)
−0.573796 + 0.818999i \(0.694530\pi\)
\(602\) −12.4563 13.1060i −0.507681 0.534161i
\(603\) −2.01851 1.65655i −0.0822001 0.0674599i
\(604\) 1.75100 34.4236i 0.0712472 1.40068i
\(605\) 4.70690 8.80599i 0.191363 0.358014i
\(606\) −21.2800 7.05044i −0.864440 0.286404i
\(607\) −2.12498 2.12498i −0.0862503 0.0862503i 0.662665 0.748916i \(-0.269425\pi\)
−0.748916 + 0.662665i \(0.769425\pi\)
\(608\) 7.58267 13.2509i 0.307518 0.537396i
\(609\) 15.8934 15.8934i 0.644035 0.644035i
\(610\) 0.130374 0.0654832i 0.00527870 0.00265134i
\(611\) −0.642927 0.343652i −0.0260100 0.0139027i
\(612\) 13.3659 4.75626i 0.540285 0.192260i
\(613\) −12.9862 + 15.8237i −0.524508 + 0.639114i −0.966121 0.258091i \(-0.916906\pi\)
0.441613 + 0.897206i \(0.354406\pi\)
\(614\) −0.420510 + 16.5446i −0.0169704 + 0.667686i
\(615\) −0.846350 + 0.168350i −0.0341281 + 0.00678851i
\(616\) −0.620962 5.14481i −0.0250193 0.207290i
\(617\) 4.04848 20.3531i 0.162986 0.819384i −0.809626 0.586947i \(-0.800330\pi\)
0.972611 0.232438i \(-0.0746702\pi\)
\(618\) −2.03183 3.21477i −0.0817321 0.129317i
\(619\) 10.5559 34.7980i 0.424276 1.39865i −0.441069 0.897473i \(-0.645401\pi\)
0.865345 0.501177i \(-0.167099\pi\)
\(620\) 3.84228 6.38530i 0.154309 0.256440i
\(621\) −3.06395 3.73344i −0.122952 0.149818i
\(622\) −25.2182 + 19.6453i −1.01116 + 0.787704i
\(623\) 24.1548 + 10.0052i 0.967740 + 0.400851i
\(624\) −7.15158 13.4921i −0.286292 0.540115i
\(625\) 0.923880 0.382683i 0.0369552 0.0153073i
\(626\) −16.4119 + 28.9126i −0.655953 + 1.15558i
\(627\) 0.686162 6.96672i 0.0274027 0.278224i
\(628\) −44.0807 15.8587i −1.75901 0.632829i
\(629\) 9.57194 + 17.9078i 0.381658 + 0.714032i
\(630\) −9.19638 + 1.58751i −0.366393 + 0.0632477i
\(631\) −3.17156 + 2.11917i −0.126258 + 0.0843627i −0.617096 0.786888i \(-0.711691\pi\)
0.490838 + 0.871251i \(0.336691\pi\)
\(632\) −3.57604 + 2.50463i −0.142247 + 0.0996289i
\(633\) 11.9862 17.9387i 0.476410 0.712998i
\(634\) −20.5289 + 7.89844i −0.815309 + 0.313687i
\(635\) −4.91885 + 0.484464i −0.195199 + 0.0192254i
\(636\) 11.7678 15.8096i 0.466623 0.626892i
\(637\) 5.23972 1.58945i 0.207605 0.0629764i
\(638\) −6.82153 + 0.497237i −0.270067 + 0.0196858i
\(639\) −16.5515 −0.654767
\(640\) 6.45823 + 9.28931i 0.255284 + 0.367192i
\(641\) 45.7410 1.80666 0.903331 0.428944i \(-0.141114\pi\)
0.903331 + 0.428944i \(0.141114\pi\)
\(642\) 22.5685 1.64507i 0.890709 0.0649258i
\(643\) 43.0571 13.0612i 1.69801 0.515085i 0.715075 0.699048i \(-0.246393\pi\)
0.982933 + 0.183963i \(0.0588926\pi\)
\(644\) 8.70641 + 6.48056i 0.343081 + 0.255370i
\(645\) 18.0133 1.77415i 0.709272 0.0698572i
\(646\) −6.96361 + 2.67922i −0.273980 + 0.105413i
\(647\) −4.24064 + 6.34657i −0.166717 + 0.249509i −0.905416 0.424526i \(-0.860441\pi\)
0.738699 + 0.674036i \(0.235441\pi\)
\(648\) −18.7156 3.29766i −0.735217 0.129544i
\(649\) 11.5340 7.70679i 0.452750 0.302518i
\(650\) −2.06639 + 0.356707i −0.0810506 + 0.0139912i
\(651\) 8.22407 + 15.3861i 0.322327 + 0.603031i
\(652\) −4.56746 + 12.6957i −0.178875 + 0.497202i
\(653\) 2.78008 28.2266i 0.108793 1.10459i −0.773469 0.633834i \(-0.781480\pi\)
0.882262 0.470759i \(-0.156020\pi\)
\(654\) −11.7773 + 20.7479i −0.460529 + 0.811305i
\(655\) −10.9783 + 4.54737i −0.428958 + 0.177680i
\(656\) −1.33467 + 0.126778i −0.0521101 + 0.00494987i
\(657\) 15.7952 + 6.54259i 0.616230 + 0.255251i
\(658\) −0.997510 + 0.777073i −0.0388870 + 0.0302935i
\(659\) 21.6060 + 26.3270i 0.841651 + 1.02555i 0.999276 + 0.0380553i \(0.0121163\pi\)
−0.157625 + 0.987499i \(0.550384\pi\)
\(660\) 4.44499 + 2.67472i 0.173021 + 0.104113i
\(661\) 2.56203 8.44587i 0.0996513 0.328506i −0.892913 0.450230i \(-0.851342\pi\)
0.992564 + 0.121723i \(0.0388421\pi\)
\(662\) −22.9860 36.3687i −0.893377 1.41351i
\(663\) −1.45592 + 7.31940i −0.0565432 + 0.284262i
\(664\) −21.9702 17.2379i −0.852611 0.668962i
\(665\) 4.81381 0.957527i 0.186672 0.0371313i
\(666\) −1.35437 + 53.2865i −0.0524807 + 2.06481i
\(667\) 9.08767 11.0734i 0.351876 0.428762i
\(668\) −4.38290 12.3167i −0.169580 0.476548i
\(669\) 10.8250 + 5.78610i 0.418520 + 0.223703i
\(670\) −0.909424 + 0.456777i −0.0351341 + 0.0176468i
\(671\) 0.0734924 0.0734924i 0.00283714 0.00283714i
\(672\) −26.4227 + 1.83385i −1.01928 + 0.0707425i
\(673\) 15.9779 + 15.9779i 0.615904 + 0.615904i 0.944478 0.328574i \(-0.106568\pi\)
−0.328574 + 0.944478i \(0.606568\pi\)
\(674\) −8.22108 2.72379i −0.316664 0.104917i
\(675\) 0.762961 1.42740i 0.0293664 0.0549407i
\(676\) −21.5749 1.09743i −0.829803 0.0422090i
\(677\) −10.9728 9.00518i −0.421720 0.346097i 0.399475 0.916744i \(-0.369192\pi\)
−0.821195 + 0.570647i \(0.806692\pi\)
\(678\) 30.2262 + 31.8028i 1.16083 + 1.22138i
\(679\) −5.17605 26.0218i −0.198639 0.998624i
\(680\) 0.421101 5.51311i 0.0161485 0.211418i
\(681\) −27.5945 5.48889i −1.05742 0.210335i
\(682\) 1.16767 5.17884i 0.0447123 0.198308i
\(683\) −28.9660 8.78673i −1.10835 0.336215i −0.317522 0.948251i \(-0.602851\pi\)
−0.790830 + 0.612036i \(0.790351\pi\)
\(684\) −19.3694 2.90754i −0.740608 0.111173i
\(685\) 13.6326 11.1880i 0.520874 0.427470i
\(686\) 3.39001 27.2906i 0.129431 1.04196i
\(687\) 16.9685 40.9656i 0.647389 1.56294i
\(688\) 28.1212 + 0.0975872i 1.07211 + 0.00372048i
\(689\) 2.17183 + 5.24325i 0.0827400 + 0.199752i
\(690\) −10.4741 + 2.88878i −0.398741 + 0.109974i
\(691\) 30.3725 + 2.99143i 1.15542 + 0.113799i 0.657523 0.753435i \(-0.271604\pi\)
0.497901 + 0.867234i \(0.334104\pi\)
\(692\) 18.6478 20.5031i 0.708882 0.779409i
\(693\) −5.86326 + 3.13398i −0.222727 + 0.119050i
\(694\) −4.86696 + 6.89783i −0.184747 + 0.261838i
\(695\) 3.90135 + 5.83879i 0.147987 + 0.221478i
\(696\) 0.766948 + 34.9494i 0.0290711 + 1.32475i
\(697\) 0.544785 + 0.364014i 0.0206352 + 0.0137880i
\(698\) 33.5032 + 14.8857i 1.26811 + 0.563433i
\(699\) −0.491178 4.98701i −0.0185780 0.188626i
\(700\) −0.889881 + 3.52663i −0.0336343 + 0.133294i
\(701\) 1.78030 + 5.86886i 0.0672409 + 0.221664i 0.984121 0.177499i \(-0.0568008\pi\)
−0.916880 + 0.399163i \(0.869301\pi\)
\(702\) −2.21906 + 2.56800i −0.0837532 + 0.0969230i
\(703\) 28.0336i 1.05731i
\(704\) 6.44856 + 4.83481i 0.243039 + 0.182219i
\(705\) 1.26581i 0.0476733i
\(706\) 3.41786 + 2.95344i 0.128633 + 0.111154i
\(707\) −3.25026 10.7147i −0.122239 0.402967i
\(708\) −36.3443 60.8760i −1.36590 2.28786i
\(709\) −4.20596 42.7038i −0.157958 1.60377i −0.668359 0.743839i \(-0.733003\pi\)
0.510401 0.859936i \(-0.329497\pi\)
\(710\) −2.61921 + 5.89504i −0.0982973 + 0.221237i
\(711\) 4.65716 + 3.11181i 0.174657 + 0.116702i
\(712\) −37.2172 + 16.3815i −1.39477 + 0.613922i
\(713\) 6.17732 + 9.24502i 0.231343 + 0.346229i
\(714\) 10.5765 + 7.46257i 0.395817 + 0.279280i
\(715\) −1.31745 + 0.704193i −0.0492699 + 0.0263353i
\(716\) 20.5459 0.973625i 0.767838 0.0363861i
\(717\) −22.9115 2.25659i −0.855645 0.0842737i
\(718\) 13.7086 + 49.7043i 0.511601 + 1.85495i
\(719\) 5.35857 + 12.9367i 0.199841 + 0.482459i 0.991751 0.128179i \(-0.0409132\pi\)
−0.791910 + 0.610638i \(0.790913\pi\)
\(720\) 8.10569 12.0404i 0.302081 0.448718i
\(721\) 0.726903 1.75490i 0.0270713 0.0653559i
\(722\) −16.4427 2.04250i −0.611935 0.0760140i
\(723\) −40.8697 + 33.5409i −1.51996 + 1.24740i
\(724\) −42.3559 + 31.2995i −1.57415 + 1.16324i
\(725\) 4.59379 + 1.39351i 0.170609 + 0.0517537i
\(726\) −35.4657 7.99641i −1.31625 0.296775i
\(727\) −15.2849 3.04036i −0.566886 0.112761i −0.0966769 0.995316i \(-0.530821\pi\)
−0.470209 + 0.882555i \(0.655821\pi\)
\(728\) 3.44690 6.80367i 0.127751 0.252161i
\(729\) 7.19523 + 36.1729i 0.266490 + 1.33974i
\(730\) 4.82977 4.59034i 0.178758 0.169896i
\(731\) −10.6237 8.71867i −0.392933 0.322472i
\(732\) −0.356058 0.394222i −0.0131603 0.0145708i
\(733\) 3.17070 5.93197i 0.117113 0.219102i −0.816534 0.577297i \(-0.804108\pi\)
0.933647 + 0.358195i \(0.116608\pi\)
\(734\) −13.0311 + 39.3311i −0.480987 + 1.45174i
\(735\) 6.72274 + 6.72274i 0.247972 + 0.247972i
\(736\) −16.6442 + 2.81373i −0.613514 + 0.103715i
\(737\) −0.512646 + 0.512646i −0.0188835 + 0.0188835i
\(738\) 0.771989 + 1.53700i 0.0284173 + 0.0565777i
\(739\) −35.2087 18.8194i −1.29517 0.692284i −0.327586 0.944822i \(-0.606235\pi\)
−0.967587 + 0.252537i \(0.918735\pi\)
\(740\) 18.7644 + 8.91477i 0.689793 + 0.327713i
\(741\) 6.53622 7.96440i 0.240114 0.292580i
\(742\) 9.84056 + 0.250115i 0.361258 + 0.00918200i
\(743\) 14.1722 2.81902i 0.519926 0.103420i 0.0718504 0.997415i \(-0.477110\pi\)
0.448075 + 0.893996i \(0.352110\pi\)
\(744\) −26.1320 7.30498i −0.958046 0.267813i
\(745\) 4.29811 21.6081i 0.157471 0.791658i
\(746\) 9.73013 6.14972i 0.356246 0.225157i
\(747\) −10.3998 + 34.2836i −0.380509 + 1.25437i
\(748\) −0.950446 3.82252i −0.0347517 0.139765i
\(749\) 7.17000 + 8.73667i 0.261986 + 0.319231i
\(750\) −2.23760 2.87236i −0.0817056 0.104884i
\(751\) 23.8852 + 9.89359i 0.871584 + 0.361022i 0.773227 0.634129i \(-0.218641\pi\)
0.0983572 + 0.995151i \(0.468641\pi\)
\(752\) 0.199552 1.95646i 0.00727690 0.0713446i
\(753\) 11.1416 4.61502i 0.406024 0.168181i
\(754\) −8.75437 4.96933i −0.318815 0.180972i
\(755\) −1.68923 + 17.1511i −0.0614775 + 0.624191i
\(756\) 2.50770 + 5.32597i 0.0912041 + 0.193704i
\(757\) −15.9434 29.8280i −0.579473 1.08412i −0.985407 0.170215i \(-0.945554\pi\)
0.405934 0.913902i \(-0.366946\pi\)
\(758\) 0.719438 + 4.16769i 0.0261312 + 0.151377i
\(759\) −6.43572 + 4.30021i −0.233602 + 0.156088i
\(760\) −4.10070 + 6.43858i −0.148748 + 0.233552i
\(761\) 10.3471 15.4856i 0.375083 0.561352i −0.595122 0.803635i \(-0.702896\pi\)
0.970206 + 0.242283i \(0.0778964\pi\)
\(762\) 6.46227 + 16.7962i 0.234103 + 0.608462i
\(763\) −11.8586 + 1.16797i −0.429311 + 0.0422835i
\(764\) −3.79164 25.8703i −0.137177 0.935956i
\(765\) −6.78803 + 2.05913i −0.245422 + 0.0744479i
\(766\) 0.859394 + 11.7899i 0.0310512 + 0.425988i
\(767\) 20.4163 0.737191
\(768\) 26.3535 31.6611i 0.950949 1.14247i
\(769\) 16.6784 0.601438 0.300719 0.953713i \(-0.402773\pi\)
0.300719 + 0.953713i \(0.402773\pi\)
\(770\) 0.188369 + 2.58422i 0.00678836 + 0.0931288i
\(771\) 10.0897 3.06069i 0.363373 0.110228i
\(772\) −3.21684 21.9485i −0.115777 0.789944i
\(773\) 40.6737 4.00601i 1.46293 0.144086i 0.665004 0.746840i \(-0.268430\pi\)
0.797927 + 0.602754i \(0.205930\pi\)
\(774\) −12.9549 33.6712i −0.465654 1.21029i
\(775\) −2.07011 + 3.09813i −0.0743604 + 0.111288i
\(776\) 34.8047 + 22.1669i 1.24941 + 0.795746i
\(777\) −40.4381 + 27.0199i −1.45071 + 0.969333i
\(778\) 1.50380 + 8.71145i 0.0539137 + 0.312321i
\(779\) −0.426414 0.797765i −0.0152779 0.0285829i
\(780\) 3.25246 + 6.90773i 0.116457 + 0.247336i
\(781\) −0.450429 + 4.57328i −0.0161176 + 0.163645i
\(782\) 7.17441 + 4.07248i 0.256557 + 0.145632i
\(783\) 7.17824 2.97332i 0.256529 0.106258i
\(784\) 9.33093 + 11.4506i 0.333247 + 0.408949i
\(785\) 21.6403 + 8.96371i 0.772376 + 0.319928i
\(786\) 26.5891 + 34.1317i 0.948400 + 1.21744i
\(787\) 12.9617 + 15.7938i 0.462034 + 0.562990i 0.950951 0.309340i \(-0.100108\pi\)
−0.488918 + 0.872330i \(0.662608\pi\)
\(788\) 3.58825 + 14.4313i 0.127826 + 0.514093i
\(789\) −9.36591 + 30.8753i −0.333435 + 1.09919i
\(790\) 1.84529 1.16628i 0.0656526 0.0414943i
\(791\) −4.27526 + 21.4932i −0.152011 + 0.764209i
\(792\) 2.78373 9.95822i 0.0989157 0.353850i
\(793\) 0.150029 0.0298426i 0.00532768 0.00105974i
\(794\) −19.6942 0.500563i −0.698922 0.0177643i
\(795\) −6.25147 + 7.61744i −0.221717 + 0.270163i
\(796\) 42.4376 + 20.1617i 1.50416 + 0.714611i
\(797\) 40.1976 + 21.4860i 1.42387 + 0.761075i 0.990155 0.139975i \(-0.0447023\pi\)
0.433715 + 0.901050i \(0.357202\pi\)
\(798\) −8.02103 15.9695i −0.283941 0.565316i
\(799\) −0.679606 + 0.679606i −0.0240427 + 0.0240427i
\(800\) −3.00564 4.79230i −0.106266 0.169433i
\(801\) 36.8878 + 36.8878i 1.30337 + 1.30337i
\(802\) −9.57734 + 28.9068i −0.338188 + 1.02074i
\(803\) 2.23761 4.18627i 0.0789634 0.147730i
\(804\) 2.48368 + 2.74989i 0.0875925 + 0.0969811i
\(805\) −4.19495 3.44271i −0.147853 0.121339i
\(806\) 5.66354 5.38278i 0.199490 0.189600i
\(807\) 0.900561 + 4.52742i 0.0317012 + 0.159373i
\(808\) 15.5344 + 7.87012i 0.546499 + 0.276870i
\(809\) 37.9973 + 7.55813i 1.33591 + 0.265730i 0.810810 0.585309i \(-0.199027\pi\)
0.525103 + 0.851039i \(0.324027\pi\)
\(810\) 9.26925 + 2.08993i 0.325688 + 0.0734326i
\(811\) −29.3563 8.90512i −1.03084 0.312701i −0.270838 0.962625i \(-0.587301\pi\)
−0.759999 + 0.649924i \(0.774801\pi\)
\(812\) −14.0422 + 10.3767i −0.492786 + 0.364151i
\(813\) −54.0749 + 44.3781i −1.89649 + 1.55641i
\(814\) 14.6865 + 1.82435i 0.514763 + 0.0639434i
\(815\) 2.58164 6.23263i 0.0904309 0.218320i
\(816\) −19.7587 + 3.85902i −0.691693 + 0.135093i
\(817\) 7.26102 + 17.5296i 0.254031 + 0.613285i
\(818\) 11.3669 + 41.2136i 0.397433 + 1.44100i
\(819\) −9.73769 0.959079i −0.340263 0.0335129i
\(820\) 0.669587 0.0317302i 0.0233830 0.00110807i
\(821\) −1.68635 + 0.901375i −0.0588542 + 0.0314582i −0.500561 0.865701i \(-0.666873\pi\)
0.441707 + 0.897159i \(0.354373\pi\)
\(822\) −52.4671 37.0197i −1.83000 1.29121i
\(823\) −6.32874 9.47162i −0.220606 0.330160i 0.704614 0.709590i \(-0.251120\pi\)
−0.925220 + 0.379430i \(0.876120\pi\)
\(824\) 1.19015 + 2.70392i 0.0414610 + 0.0941954i
\(825\) −2.15670 1.44106i −0.0750866 0.0501713i
\(826\) 14.3785 32.3617i 0.500294 1.12601i
\(827\) 4.59390 + 46.6427i 0.159746 + 1.62192i 0.656703 + 0.754149i \(0.271951\pi\)
−0.496957 + 0.867775i \(0.665549\pi\)
\(828\) 11.1012 + 18.5944i 0.385795 + 0.646200i
\(829\) −11.1605 36.7913i −0.387621 1.27782i −0.906223 0.422800i \(-0.861047\pi\)
0.518602 0.855016i \(-0.326453\pi\)
\(830\) 10.5648 + 9.12928i 0.366711 + 0.316882i
\(831\) 44.0610i 1.52846i
\(832\) 3.93806 + 11.1894i 0.136528 + 0.387923i
\(833\) 7.21879i 0.250116i
\(834\) 16.7174 19.3461i 0.578876 0.669902i
\(835\) 1.89749 + 6.25519i 0.0656654 + 0.216470i
\(836\) −1.33049 + 5.27277i −0.0460158 + 0.182362i
\(837\) 0.591115 + 6.00169i 0.0204319 + 0.207449i
\(838\) 19.3038 + 8.57683i 0.666839 + 0.296282i
\(839\) −25.4630 17.0139i −0.879081 0.587383i 0.0320560 0.999486i \(-0.489795\pi\)
−0.911137 + 0.412103i \(0.864795\pi\)
\(840\) 13.2400 0.290545i 0.456822 0.0100248i
\(841\) −3.30852 4.95155i −0.114087 0.170743i
\(842\) −4.39758 + 6.23260i −0.151551 + 0.214790i
\(843\) −61.6438 + 32.9493i −2.12313 + 1.13483i
\(844\) −11.2765 + 12.3984i −0.388154 + 0.426772i
\(845\) 10.7494 + 1.05872i 0.369790 + 0.0364211i
\(846\) −2.43219 + 0.670805i −0.0836203 + 0.0230628i
\(847\) −6.94900 16.7764i −0.238770 0.576443i
\(848\) −10.8632 + 10.7881i −0.373044 + 0.370464i
\(849\) 30.1945 72.8960i 1.03627 2.50178i
\(850\) −0.340795 + 2.74350i −0.0116892 + 0.0941013i
\(851\) −23.9602 + 19.6637i −0.821347 + 0.674062i
\(852\) 23.2272 + 3.48663i 0.795751 + 0.119450i
\(853\) 38.9884 + 11.8270i 1.33494 + 0.404949i 0.875481 0.483252i \(-0.160545\pi\)
0.459455 + 0.888201i \(0.348045\pi\)
\(854\) 0.0583573 0.258826i 0.00199694 0.00885685i
\(855\) 9.60504 + 1.91056i 0.328486 + 0.0653398i
\(856\) −17.5270 1.33875i −0.599062 0.0457574i
\(857\) −3.72316 18.7176i −0.127181 0.639380i −0.990811 0.135254i \(-0.956815\pi\)
0.863630 0.504126i \(-0.168185\pi\)
\(858\) 3.74711 + 3.94255i 0.127924 + 0.134597i
\(859\) 12.6447 + 10.3772i 0.431432 + 0.354067i 0.824907 0.565268i \(-0.191227\pi\)
−0.393475 + 0.919335i \(0.628727\pi\)
\(860\) −14.0425 0.714292i −0.478846 0.0243571i
\(861\) −0.739770 + 1.38401i −0.0252113 + 0.0471670i
\(862\) 37.4810 + 12.4181i 1.27661 + 0.422964i
\(863\) 6.08735 + 6.08735i 0.207216 + 0.207216i 0.803083 0.595867i \(-0.203192\pi\)
−0.595867 + 0.803083i \(0.703192\pi\)
\(864\) −8.68104 2.90966i −0.295335 0.0989885i
\(865\) −9.79869 + 9.79869i −0.333166 + 0.333166i
\(866\) −0.224618 + 0.112819i −0.00763282 + 0.00383374i
\(867\) −29.9233 15.9943i −1.01625 0.543196i
\(868\) −4.54353 12.7681i −0.154218 0.433379i
\(869\) 0.986552 1.20212i 0.0334665 0.0407790i
\(870\) 0.444113 17.4733i 0.0150568 0.592399i
\(871\) −1.04652 + 0.208167i −0.0354601 + 0.00705346i
\(872\) 11.4400 14.5806i 0.387406 0.493760i
\(873\) 10.3278 51.9215i 0.349544 1.75728i
\(874\) −6.08499 9.62772i −0.205828 0.325662i
\(875\) 0.527908 1.74028i 0.0178465 0.0588322i
\(876\) −20.7877 12.5087i −0.702350 0.422631i
\(877\) −5.08195 6.19237i −0.171605 0.209101i 0.680105 0.733115i \(-0.261934\pi\)
−0.851710 + 0.524013i \(0.824434\pi\)
\(878\) 4.31294 3.35983i 0.145555 0.113389i
\(879\) −8.09651 3.35369i −0.273089 0.113117i
\(880\) −3.10624 2.56732i −0.104711 0.0865442i
\(881\) −49.9396 + 20.6857i −1.68251 + 0.696918i −0.999441 0.0334379i \(-0.989354\pi\)
−0.683067 + 0.730356i \(0.739354\pi\)
\(882\) 9.35470 16.4800i 0.314989 0.554911i
\(883\) −1.22435 + 12.4310i −0.0412025 + 0.418336i 0.952354 + 0.304996i \(0.0986551\pi\)
−0.993556 + 0.113340i \(0.963845\pi\)
\(884\) 1.96249 5.45494i 0.0660057 0.183469i
\(885\) 16.7110 + 31.2641i 0.561734 + 1.05093i
\(886\) −2.02104 + 0.348878i −0.0678983 + 0.0117208i
\(887\) −16.1072 + 10.7625i −0.540827 + 0.361369i −0.795781 0.605584i \(-0.792940\pi\)
0.254954 + 0.966953i \(0.417940\pi\)
\(888\) 13.1256 74.4932i 0.440467 2.49983i
\(889\) −4.99382 + 7.47378i −0.167487 + 0.250662i
\(890\) 18.9754 7.30073i 0.636058 0.244721i
\(891\) 6.73646 0.663483i 0.225680 0.0222275i
\(892\) −7.64865 5.69322i −0.256096 0.190623i
\(893\) 1.26977 0.385179i 0.0424911 0.0128895i
\(894\) −80.0052 + 5.83176i −2.67578 + 0.195043i
\(895\) −10.2845 −0.343773
\(896\) 20.5096 + 1.63817i 0.685179 + 0.0547274i
\(897\) −11.3918 −0.380363
\(898\) −22.4262 + 1.63469i −0.748372 + 0.0545505i
\(899\) −17.1169 + 5.19236i −0.570881 + 0.173175i
\(900\) −4.33327 + 5.82160i −0.144442 + 0.194053i
\(901\) 7.44612 0.733378i 0.248066 0.0244324i
\(902\) 0.445691 0.171478i 0.0148399 0.00570958i
\(903\) 18.2878 27.3696i 0.608580 0.910805i
\(904\) −19.5527 27.9167i −0.650312 0.928496i
\(905\) 21.8950 14.6298i 0.727814 0.486310i
\(906\) 61.8356 10.6742i 2.05435 0.354628i
\(907\) 0.632235 + 1.18283i 0.0209930 + 0.0392752i 0.892199 0.451642i \(-0.149162\pi\)
−0.871206 + 0.490917i \(0.836662\pi\)
\(908\) 20.5654 + 7.39869i 0.682486 + 0.245534i
\(909\) 2.18981 22.2335i 0.0726315 0.737440i
\(910\) −1.88254 + 3.31644i −0.0624057 + 0.109939i
\(911\) −24.3769 + 10.0973i −0.807644 + 0.334537i −0.748014 0.663683i \(-0.768992\pi\)
−0.0596304 + 0.998221i \(0.518992\pi\)
\(912\) 26.5692 + 8.16047i 0.879794 + 0.270220i
\(913\) 9.18975 + 3.80652i 0.304136 + 0.125977i
\(914\) −5.45984 + 4.25329i −0.180596 + 0.140686i
\(915\) 0.168499 + 0.205317i 0.00557041 + 0.00678756i
\(916\) −17.7593 + 29.5134i −0.586784 + 0.975150i
\(917\) −6.27304 + 20.6795i −0.207154 + 0.682896i
\(918\) 2.39057 + 3.78238i 0.0789007 + 0.124837i
\(919\) 2.06537 10.3833i 0.0681302 0.342514i −0.931653 0.363350i \(-0.881633\pi\)
0.999783 + 0.0208364i \(0.00663290\pi\)
\(920\) 8.37938 1.01136i 0.276260 0.0333437i
\(921\) −29.5507 + 5.87800i −0.973729 + 0.193687i
\(922\) −0.745381 + 29.3264i −0.0245478 + 0.965814i
\(923\) −4.29068 + 5.22821i −0.141229 + 0.172089i
\(924\) 8.88826 3.16288i 0.292402 0.104051i
\(925\) −9.16069 4.89649i −0.301202 0.160996i
\(926\) 44.6999 22.4515i 1.46893 0.737801i
\(927\) 2.67998 2.67998i 0.0880222 0.0880222i
\(928\) 3.44103 26.9368i 0.112957 0.884245i
\(929\) −2.23732 2.23732i −0.0734042 0.0734042i 0.669452 0.742856i \(-0.266529\pi\)
−0.742856 + 0.669452i \(0.766529\pi\)
\(930\) 12.8785 + 4.26687i 0.422302 + 0.139916i
\(931\) −4.69804 + 8.78942i −0.153972 + 0.288062i
\(932\) −0.197753 + 3.88770i −0.00647762 + 0.127346i
\(933\) −44.9869 36.9198i −1.47280 1.20870i
\(934\) −26.2101 27.5772i −0.857620 0.902352i
\(935\) 0.384222 + 1.93161i 0.0125654 + 0.0631705i
\(936\) 11.5492 9.91009i 0.377497 0.323922i
\(937\) 12.6760 + 2.52141i 0.414106 + 0.0823708i 0.397747 0.917495i \(-0.369792\pi\)
0.0163596 + 0.999866i \(0.494792\pi\)
\(938\) −0.407070 + 1.80544i −0.0132913 + 0.0589497i
\(939\) −57.9189 17.5695i −1.89011 0.573359i
\(940\) −0.145968 + 0.972409i −0.00476095 + 0.0317165i
\(941\) 6.32989 5.19481i 0.206349 0.169346i −0.525543 0.850767i \(-0.676138\pi\)
0.731892 + 0.681421i \(0.238638\pi\)
\(942\) 10.5133 84.6350i 0.342541 2.75756i
\(943\) −0.382746 + 0.924032i −0.0124639 + 0.0300906i
\(944\) 20.9000 + 50.9565i 0.680238 + 1.65849i
\(945\) −1.12639 2.71935i −0.0366415 0.0884605i
\(946\) −9.65612 + 2.66319i −0.313948 + 0.0865879i
\(947\) −5.50775 0.542466i −0.178978 0.0176278i 0.00813116 0.999967i \(-0.497412\pi\)
−0.187109 + 0.982339i \(0.559912\pi\)
\(948\) −5.88001 5.34794i −0.190974 0.173693i
\(949\) 6.16127 3.29327i 0.200003 0.106904i
\(950\) 2.20043 3.11863i 0.0713915 0.101182i
\(951\) −22.2474 33.2956i −0.721422 1.07968i
\(952\) −7.26443 6.95245i −0.235442 0.225330i
\(953\) 10.2192 + 6.82826i 0.331033 + 0.221189i 0.709968 0.704234i \(-0.248710\pi\)
−0.378935 + 0.925423i \(0.623710\pi\)
\(954\) 17.9494 + 7.97504i 0.581132 + 0.258202i
\(955\) 1.28141 + 13.0104i 0.0414656 + 0.421007i
\(956\) 17.3406 + 4.37558i 0.560835 + 0.141516i
\(957\) −3.61455 11.9156i −0.116842 0.385176i
\(958\) 33.3352 38.5770i 1.07701 1.24637i
\(959\) 32.0720i 1.03566i
\(960\) −13.9113 + 15.1891i −0.448985 + 0.490226i
\(961\) 17.1162i 0.552136i
\(962\) 16.4808 + 14.2414i 0.531362 + 0.459161i
\(963\) 6.54629 + 21.5802i 0.210951 + 0.695413i
\(964\) 35.2642 21.0535i 1.13578 0.678087i
\(965\) 1.08716 + 11.0381i 0.0349968 + 0.355328i
\(966\) −8.02290 + 18.0571i −0.258133 + 0.580977i
\(967\) 13.4061 + 8.95768i 0.431112 + 0.288060i 0.752132 0.659013i \(-0.229026\pi\)
−0.321020 + 0.947072i \(0.604026\pi\)
\(968\) 26.3229 + 10.2327i 0.846051 + 0.328890i
\(969\) −7.54653 11.2942i −0.242430 0.362821i
\(970\) −16.8582 11.8948i −0.541284 0.381918i
\(971\) 38.0700 20.3488i 1.22172 0.653025i 0.270855 0.962620i \(-0.412694\pi\)
0.950868 + 0.309595i \(0.100194\pi\)
\(972\) −2.09731 44.2585i −0.0672712 1.41959i
\(973\) 12.7091 + 1.25173i 0.407434 + 0.0401288i
\(974\) −11.5936 42.0356i −0.371482 1.34691i
\(975\) −1.46092 3.52697i −0.0467869 0.112953i
\(976\) 0.228067 + 0.343903i 0.00730023 + 0.0110081i
\(977\) 3.76748 9.09549i 0.120532 0.290991i −0.852085 0.523403i \(-0.824662\pi\)
0.972617 + 0.232413i \(0.0746621\pi\)
\(978\) −24.3758 3.02794i −0.779451 0.0968227i
\(979\) 11.1962 9.18847i 0.357831 0.293665i
\(980\) −4.38923 5.93970i −0.140209 0.189737i
\(981\) −22.7523 6.90184i −0.726426 0.220359i
\(982\) 11.1375 + 2.51116i 0.355411 + 0.0801342i
\(983\) −33.2318 6.61021i −1.05993 0.210833i −0.365807 0.930691i \(-0.619207\pi\)
−0.694122 + 0.719858i \(0.744207\pi\)
\(984\) −0.759581 2.31953i −0.0242146 0.0739441i
\(985\) −1.45056 7.29247i −0.0462188 0.232357i
\(986\) −9.61971 + 9.14283i −0.306354 + 0.291167i
\(987\) −1.77946 1.46037i −0.0566409 0.0464840i
\(988\) −5.93960 + 5.36459i −0.188964 + 0.170670i
\(989\) 9.88941 18.5018i 0.314465 0.588323i
\(990\) −1.62599 + 4.90765i −0.0516774 + 0.155975i
\(991\) −22.6575 22.6575i −0.719738 0.719738i 0.248813 0.968551i \(-0.419959\pi\)
−0.968551 + 0.248813i \(0.919959\pi\)
\(992\) 19.2325 + 8.62517i 0.610631 + 0.273849i
\(993\) 55.3847 55.3847i 1.75758 1.75758i
\(994\) 5.26538 + 10.4832i 0.167008 + 0.332506i
\(995\) −20.7178 11.0739i −0.656799 0.351067i
\(996\) 21.8163 45.9204i 0.691276 1.45504i
\(997\) −10.3194 + 12.5742i −0.326819 + 0.398230i −0.910335 0.413871i \(-0.864176\pi\)
0.583517 + 0.812101i \(0.301676\pi\)
\(998\) −21.9931 0.558992i −0.696179 0.0176946i
\(999\) −16.4888 + 3.27982i −0.521682 + 0.103769i
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 640.2.bm.a.461.31 yes 1024
128.5 even 32 inner 640.2.bm.a.261.31 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
640.2.bm.a.261.31 1024 128.5 even 32 inner
640.2.bm.a.461.31 yes 1024 1.1 even 1 trivial