Properties

Label 177.2.e.a.166.1
Level $177$
Weight $2$
Character 177.166
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [177,2,Mod(4,177)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(177, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("177.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 166.1
Character \(\chi\) \(=\) 177.166
Dual form 177.2.e.a.16.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.19928 + 0.484098i) q^{2} +(-0.161782 + 0.986827i) q^{3} +(2.78734 - 1.28956i) q^{4} +(0.0503762 - 0.181439i) q^{5} +(-0.121917 - 2.24863i) q^{6} +(2.06658 - 1.95757i) q^{7} +(-1.92037 + 1.45983i) q^{8} +(-0.947653 - 0.319302i) q^{9} +O(q^{10})\) \(q+(-2.19928 + 0.484098i) q^{2} +(-0.161782 + 0.986827i) q^{3} +(2.78734 - 1.28956i) q^{4} +(0.0503762 - 0.181439i) q^{5} +(-0.121917 - 2.24863i) q^{6} +(2.06658 - 1.95757i) q^{7} +(-1.92037 + 1.45983i) q^{8} +(-0.947653 - 0.319302i) q^{9} +(-0.0229572 + 0.423421i) q^{10} +(0.782051 + 0.920701i) q^{11} +(0.821630 + 2.95924i) q^{12} +(2.31365 - 0.779560i) q^{13} +(-3.59734 + 5.30568i) q^{14} +(0.170898 + 0.0790660i) q^{15} +(-0.459760 + 0.541271i) q^{16} +(2.03588 + 1.92849i) q^{17} +(2.23873 + 0.243476i) q^{18} +(1.85300 + 4.65068i) q^{19} +(-0.0935604 - 0.570693i) q^{20} +(1.59745 + 2.35606i) q^{21} +(-2.16566 - 1.64629i) q^{22} +(4.29536 - 0.467148i) q^{23} +(-1.12991 - 2.13124i) q^{24} +(4.25390 + 2.55949i) q^{25} +(-4.71098 + 2.83451i) q^{26} +(0.468408 - 0.883512i) q^{27} +(3.23585 - 8.12138i) q^{28} +(-3.96069 - 0.871814i) q^{29} +(-0.414129 - 0.0911568i) q^{30} +(-0.590642 + 1.48240i) q^{31} +(3.00894 - 5.67546i) q^{32} +(-1.03509 + 0.622796i) q^{33} +(-5.41106 - 3.25572i) q^{34} +(-0.251072 - 0.473573i) q^{35} +(-3.05318 + 0.332054i) q^{36} +(-9.19319 - 6.98848i) q^{37} +(-6.32666 - 9.33112i) q^{38} +(0.394983 + 2.40929i) q^{39} +(0.168128 + 0.421969i) q^{40} +(7.16053 + 0.778754i) q^{41} +(-4.65380 - 4.40831i) q^{42} +(1.09890 - 1.29372i) q^{43} +(3.36714 + 1.55780i) q^{44} +(-0.105673 + 0.155856i) q^{45} +(-9.22056 + 3.10677i) q^{46} +(-0.710095 - 2.55753i) q^{47} +(-0.459760 - 0.541271i) q^{48} +(0.0597066 - 1.10122i) q^{49} +(-10.5946 - 3.56973i) q^{50} +(-2.23245 + 1.69707i) q^{51} +(5.44363 - 5.15648i) q^{52} +(-0.234642 - 4.32772i) q^{53} +(-0.602455 + 2.16985i) q^{54} +(0.206448 - 0.0955128i) q^{55} +(-1.11089 + 6.77611i) q^{56} +(-4.88920 + 1.07619i) q^{57} +9.13271 q^{58} +(6.24107 - 4.47762i) q^{59} +0.578312 q^{60} +(-9.38994 + 2.06688i) q^{61} +(0.581361 - 3.54614i) q^{62} +(-2.58346 + 1.19523i) q^{63} +(-3.49004 + 12.5700i) q^{64} +(-0.0248893 - 0.459057i) q^{65} +(1.97497 - 1.87079i) q^{66} +(9.39927 - 7.14514i) q^{67} +(8.16159 + 2.74996i) q^{68} +(-0.233917 + 4.31435i) q^{69} +(0.781434 + 0.919976i) q^{70} +(0.898732 + 3.23694i) q^{71} +(2.28597 - 0.770232i) q^{72} +(-3.67724 + 5.42352i) q^{73} +(23.6015 + 10.9192i) q^{74} +(-3.21398 + 3.78379i) q^{75} +(11.1623 + 10.5735i) q^{76} +(3.41851 + 0.371785i) q^{77} +(-2.03501 - 5.10750i) q^{78} +(1.22793 + 7.49003i) q^{79} +(0.0750465 + 0.110685i) q^{80} +(0.796093 + 0.605174i) q^{81} +(-16.1250 + 1.75370i) q^{82} +(3.10346 + 5.85375i) q^{83} +(7.49089 + 4.50712i) q^{84} +(0.452463 - 0.272238i) q^{85} +(-1.79049 + 3.37723i) q^{86} +(1.50110 - 3.76747i) q^{87} +(-2.84589 - 0.626428i) q^{88} +(-10.5545 - 2.32322i) q^{89} +(0.156955 - 0.393926i) q^{90} +(3.25531 - 6.14016i) q^{91} +(11.3702 - 6.84122i) q^{92} +(-1.36732 - 0.822687i) q^{93} +(2.79979 + 5.28097i) q^{94} +(0.937161 - 0.101922i) q^{95} +(5.11391 + 3.88749i) q^{96} +(-5.49079 - 8.09831i) q^{97} +(0.401789 + 2.45080i) q^{98} +(-0.447132 - 1.12222i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140 q - q^{2} - 5 q^{3} - 9 q^{4} - 2 q^{5} - q^{6} - 2 q^{7} - 9 q^{8} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 140 q - q^{2} - 5 q^{3} - 9 q^{4} - 2 q^{5} - q^{6} - 2 q^{7} - 9 q^{8} - 5 q^{9} + 88 q^{10} - 14 q^{11} - 9 q^{12} - 12 q^{13} - q^{14} - 2 q^{15} - 41 q^{16} - 16 q^{17} - q^{18} - 10 q^{19} - 32 q^{20} + 27 q^{21} - 26 q^{22} - 22 q^{23} - 9 q^{24} + 27 q^{25} - 56 q^{26} - 5 q^{27} - 50 q^{28} - 24 q^{29} - 28 q^{30} - 24 q^{31} + 106 q^{32} - 14 q^{33} - 54 q^{34} - 70 q^{35} - 9 q^{36} - 28 q^{37} - 80 q^{38} - 12 q^{39} - 50 q^{40} - 40 q^{41} - 30 q^{42} + 4 q^{43} - 104 q^{44} - 2 q^{45} - 28 q^{46} + 31 q^{47} - 41 q^{48} - q^{49} + 39 q^{50} - 16 q^{51} + 62 q^{52} + 4 q^{53} - q^{54} + 5 q^{55} + 96 q^{56} - 10 q^{57} + 128 q^{58} - q^{59} - 32 q^{60} - 16 q^{61} + 223 q^{62} - 2 q^{63} + 97 q^{64} + 121 q^{65} - 26 q^{66} - 12 q^{67} + 10 q^{68} + 36 q^{69} - 2 q^{70} - 22 q^{71} - 9 q^{72} + 179 q^{73} - 38 q^{74} - 31 q^{75} + 112 q^{76} - 62 q^{77} - 56 q^{78} - 84 q^{79} + 204 q^{80} - 5 q^{81} - 152 q^{82} - 88 q^{83} + 95 q^{84} - 118 q^{85} - 118 q^{86} + 34 q^{87} + 18 q^{88} - 86 q^{89} - 28 q^{90} + 78 q^{91} - 174 q^{92} - 24 q^{93} - 164 q^{94} + 218 q^{95} - 39 q^{96} - 84 q^{97} + 129 q^{98} - 14 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{27}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.19928 + 0.484098i −1.55513 + 0.342309i −0.907634 0.419763i \(-0.862113\pi\)
−0.647493 + 0.762072i \(0.724182\pi\)
\(3\) −0.161782 + 0.986827i −0.0934049 + 0.569745i
\(4\) 2.78734 1.28956i 1.39367 0.644779i
\(5\) 0.0503762 0.181439i 0.0225289 0.0811418i −0.951431 0.307862i \(-0.900386\pi\)
0.973960 + 0.226720i \(0.0728003\pi\)
\(6\) −0.121917 2.24863i −0.0497724 0.917998i
\(7\) 2.06658 1.95757i 0.781094 0.739892i −0.189169 0.981945i \(-0.560579\pi\)
0.970263 + 0.242053i \(0.0778207\pi\)
\(8\) −1.92037 + 1.45983i −0.678953 + 0.516126i
\(9\) −0.947653 0.319302i −0.315884 0.106434i
\(10\) −0.0229572 + 0.423421i −0.00725972 + 0.133898i
\(11\) 0.782051 + 0.920701i 0.235797 + 0.277602i 0.867315 0.497759i \(-0.165844\pi\)
−0.631518 + 0.775361i \(0.717568\pi\)
\(12\) 0.821630 + 2.95924i 0.237184 + 0.854260i
\(13\) 2.31365 0.779560i 0.641691 0.216211i 0.0204015 0.999792i \(-0.493506\pi\)
0.621290 + 0.783581i \(0.286609\pi\)
\(14\) −3.59734 + 5.30568i −0.961429 + 1.41800i
\(15\) 0.170898 + 0.0790660i 0.0441258 + 0.0204148i
\(16\) −0.459760 + 0.541271i −0.114940 + 0.135318i
\(17\) 2.03588 + 1.92849i 0.493774 + 0.467728i 0.893600 0.448863i \(-0.148171\pi\)
−0.399826 + 0.916591i \(0.630930\pi\)
\(18\) 2.23873 + 0.243476i 0.527673 + 0.0573880i
\(19\) 1.85300 + 4.65068i 0.425108 + 1.06694i 0.973085 + 0.230447i \(0.0740187\pi\)
−0.547977 + 0.836493i \(0.684602\pi\)
\(20\) −0.0935604 0.570693i −0.0209207 0.127611i
\(21\) 1.59745 + 2.35606i 0.348591 + 0.514134i
\(22\) −2.16566 1.64629i −0.461720 0.350991i
\(23\) 4.29536 0.467148i 0.895644 0.0974072i 0.351294 0.936265i \(-0.385742\pi\)
0.544350 + 0.838858i \(0.316776\pi\)
\(24\) −1.12991 2.13124i −0.230643 0.435038i
\(25\) 4.25390 + 2.55949i 0.850781 + 0.511898i
\(26\) −4.71098 + 2.83451i −0.923900 + 0.555892i
\(27\) 0.468408 0.883512i 0.0901452 0.170032i
\(28\) 3.23585 8.12138i 0.611519 1.53480i
\(29\) −3.96069 0.871814i −0.735482 0.161892i −0.168592 0.985686i \(-0.553922\pi\)
−0.566889 + 0.823794i \(0.691853\pi\)
\(30\) −0.414129 0.0911568i −0.0756094 0.0166429i
\(31\) −0.590642 + 1.48240i −0.106082 + 0.266247i −0.972430 0.233195i \(-0.925082\pi\)
0.866348 + 0.499441i \(0.166461\pi\)
\(32\) 3.00894 5.67546i 0.531911 1.00329i
\(33\) −1.03509 + 0.622796i −0.180187 + 0.108415i
\(34\) −5.41106 3.25572i −0.927988 0.558352i
\(35\) −0.251072 0.473573i −0.0424390 0.0800484i
\(36\) −3.05318 + 0.332054i −0.508864 + 0.0553423i
\(37\) −9.19319 6.98848i −1.51135 1.14890i −0.946053 0.324013i \(-0.894968\pi\)
−0.565299 0.824886i \(-0.691239\pi\)
\(38\) −6.32666 9.33112i −1.02632 1.51371i
\(39\) 0.394983 + 2.40929i 0.0632479 + 0.385795i
\(40\) 0.168128 + 0.421969i 0.0265834 + 0.0667192i
\(41\) 7.16053 + 0.778754i 1.11829 + 0.121621i 0.648540 0.761180i \(-0.275380\pi\)
0.469746 + 0.882801i \(0.344345\pi\)
\(42\) −4.65380 4.40831i −0.718096 0.680217i
\(43\) 1.09890 1.29372i 0.167580 0.197291i −0.671961 0.740586i \(-0.734548\pi\)
0.839541 + 0.543296i \(0.182824\pi\)
\(44\) 3.36714 + 1.55780i 0.507615 + 0.234848i
\(45\) −0.105673 + 0.155856i −0.0157528 + 0.0232336i
\(46\) −9.22056 + 3.10677i −1.35950 + 0.458068i
\(47\) −0.710095 2.55753i −0.103578 0.373054i 0.893534 0.448995i \(-0.148218\pi\)
−0.997112 + 0.0759407i \(0.975804\pi\)
\(48\) −0.459760 0.541271i −0.0663606 0.0781258i
\(49\) 0.0597066 1.10122i 0.00852951 0.157318i
\(50\) −10.5946 3.56973i −1.49830 0.504836i
\(51\) −2.23245 + 1.69707i −0.312606 + 0.237637i
\(52\) 5.44363 5.15648i 0.754896 0.715075i
\(53\) −0.234642 4.32772i −0.0322305 0.594457i −0.969385 0.245544i \(-0.921033\pi\)
0.937155 0.348913i \(-0.113449\pi\)
\(54\) −0.602455 + 2.16985i −0.0819838 + 0.295279i
\(55\) 0.206448 0.0955128i 0.0278374 0.0128789i
\(56\) −1.11089 + 6.77611i −0.148448 + 0.905495i
\(57\) −4.88920 + 1.07619i −0.647590 + 0.142545i
\(58\) 9.13271 1.19918
\(59\) 6.24107 4.47762i 0.812518 0.582936i
\(60\) 0.578312 0.0746597
\(61\) −9.38994 + 2.06688i −1.20226 + 0.264637i −0.770552 0.637377i \(-0.780020\pi\)
−0.431707 + 0.902014i \(0.642088\pi\)
\(62\) 0.581361 3.54614i 0.0738329 0.450361i
\(63\) −2.58346 + 1.19523i −0.325485 + 0.150585i
\(64\) −3.49004 + 12.5700i −0.436255 + 1.57125i
\(65\) −0.0248893 0.459057i −0.00308714 0.0569390i
\(66\) 1.97497 1.87079i 0.243102 0.230278i
\(67\) 9.39927 7.14514i 1.14830 0.872918i 0.154939 0.987924i \(-0.450482\pi\)
0.993365 + 0.115006i \(0.0366889\pi\)
\(68\) 8.16159 + 2.74996i 0.989738 + 0.333481i
\(69\) −0.233917 + 4.31435i −0.0281603 + 0.519387i
\(70\) 0.781434 + 0.919976i 0.0933993 + 0.109958i
\(71\) 0.898732 + 3.23694i 0.106660 + 0.384154i 0.997541 0.0700820i \(-0.0223261\pi\)
−0.890881 + 0.454236i \(0.849912\pi\)
\(72\) 2.28597 0.770232i 0.269404 0.0907727i
\(73\) −3.67724 + 5.42352i −0.430388 + 0.634776i −0.979612 0.200900i \(-0.935613\pi\)
0.549223 + 0.835676i \(0.314924\pi\)
\(74\) 23.6015 + 10.9192i 2.74362 + 1.26933i
\(75\) −3.21398 + 3.78379i −0.371118 + 0.436914i
\(76\) 11.1623 + 10.5735i 1.28040 + 1.21286i
\(77\) 3.41851 + 0.371785i 0.389575 + 0.0423689i
\(78\) −2.03501 5.10750i −0.230420 0.578310i
\(79\) 1.22793 + 7.49003i 0.138153 + 0.842694i 0.961429 + 0.275053i \(0.0886956\pi\)
−0.823276 + 0.567641i \(0.807856\pi\)
\(80\) 0.0750465 + 0.110685i 0.00839046 + 0.0123750i
\(81\) 0.796093 + 0.605174i 0.0884548 + 0.0672416i
\(82\) −16.1250 + 1.75370i −1.78071 + 0.193664i
\(83\) 3.10346 + 5.85375i 0.340649 + 0.642533i 0.993357 0.115077i \(-0.0367116\pi\)
−0.652707 + 0.757610i \(0.726367\pi\)
\(84\) 7.49089 + 4.50712i 0.817323 + 0.491767i
\(85\) 0.452463 0.272238i 0.0490764 0.0295283i
\(86\) −1.79049 + 3.37723i −0.193074 + 0.364176i
\(87\) 1.50110 3.76747i 0.160935 0.403915i
\(88\) −2.84589 0.626428i −0.303373 0.0667774i
\(89\) −10.5545 2.32322i −1.11878 0.246261i −0.383174 0.923676i \(-0.625169\pi\)
−0.735601 + 0.677415i \(0.763100\pi\)
\(90\) 0.156955 0.393926i 0.0165445 0.0415235i
\(91\) 3.25531 6.14016i 0.341249 0.643663i
\(92\) 11.3702 6.84122i 1.18542 0.713246i
\(93\) −1.36732 0.822687i −0.141784 0.0853087i
\(94\) 2.79979 + 5.28097i 0.288777 + 0.544691i
\(95\) 0.937161 0.101922i 0.0961506 0.0104570i
\(96\) 5.11391 + 3.88749i 0.521936 + 0.396765i
\(97\) −5.49079 8.09831i −0.557505 0.822258i 0.439608 0.898190i \(-0.355117\pi\)
−0.997113 + 0.0759313i \(0.975807\pi\)
\(98\) 0.401789 + 2.45080i 0.0405868 + 0.247569i
\(99\) −0.447132 1.12222i −0.0449384 0.112787i
\(100\) 15.1577 + 1.64850i 1.51577 + 0.164850i
\(101\) −13.5602 12.8449i −1.34929 1.27812i −0.928681 0.370879i \(-0.879057\pi\)
−0.420613 0.907240i \(-0.638185\pi\)
\(102\) 4.08825 4.81306i 0.404797 0.476564i
\(103\) 8.57031 + 3.96505i 0.844457 + 0.390688i 0.793911 0.608034i \(-0.208042\pi\)
0.0505465 + 0.998722i \(0.483904\pi\)
\(104\) −3.30504 + 4.87457i −0.324086 + 0.477991i
\(105\) 0.507953 0.171149i 0.0495711 0.0167025i
\(106\) 2.61108 + 9.40427i 0.253611 + 0.913424i
\(107\) −4.59307 5.40738i −0.444029 0.522751i 0.493928 0.869503i \(-0.335560\pi\)
−0.937957 + 0.346752i \(0.887285\pi\)
\(108\) 0.166271 3.06668i 0.0159994 0.295092i
\(109\) −13.2211 4.45470i −1.26635 0.426683i −0.395606 0.918421i \(-0.629465\pi\)
−0.870743 + 0.491738i \(0.836362\pi\)
\(110\) −0.407799 + 0.310000i −0.0388821 + 0.0295574i
\(111\) 8.38371 7.94147i 0.795747 0.753771i
\(112\) 0.109445 + 2.01859i 0.0103416 + 0.190739i
\(113\) −3.33254 + 12.0027i −0.313499 + 1.12912i 0.624084 + 0.781357i \(0.285472\pi\)
−0.937583 + 0.347763i \(0.886941\pi\)
\(114\) 10.2317 4.73371i 0.958290 0.443352i
\(115\) 0.131625 0.802877i 0.0122741 0.0748687i
\(116\) −12.1640 + 2.67750i −1.12940 + 0.248600i
\(117\) −2.44145 −0.225712
\(118\) −11.5583 + 12.8688i −1.06402 + 1.18467i
\(119\) 7.98247 0.731752
\(120\) −0.443611 + 0.0976461i −0.0404959 + 0.00891383i
\(121\) 1.54351 9.41502i 0.140319 0.855911i
\(122\) 19.6506 9.09131i 1.77908 0.823089i
\(123\) −1.92694 + 6.94021i −0.173746 + 0.625778i
\(124\) 0.265324 + 4.89361i 0.0238268 + 0.439459i
\(125\) 1.36222 1.29036i 0.121841 0.115413i
\(126\) 5.10314 3.87931i 0.454624 0.345596i
\(127\) −21.0643 7.09737i −1.86915 0.629790i −0.987439 0.158000i \(-0.949495\pi\)
−0.881711 0.471790i \(-0.843608\pi\)
\(128\) 0.894917 16.5058i 0.0791002 1.45892i
\(129\) 1.09890 + 1.29372i 0.0967524 + 0.113906i
\(130\) 0.276967 + 0.997546i 0.0242916 + 0.0874906i
\(131\) −15.8181 + 5.32975i −1.38204 + 0.465663i −0.909521 0.415659i \(-0.863551\pi\)
−0.472517 + 0.881322i \(0.656654\pi\)
\(132\) −2.08202 + 3.07075i −0.181217 + 0.267275i
\(133\) 12.9334 + 5.98364i 1.12147 + 0.518847i
\(134\) −17.2127 + 20.2643i −1.48695 + 1.75057i
\(135\) −0.136707 0.129495i −0.0117658 0.0111452i
\(136\) −6.72490 0.731377i −0.576656 0.0627151i
\(137\) 2.45236 + 6.15497i 0.209520 + 0.525854i 0.995752 0.0920766i \(-0.0293505\pi\)
−0.786232 + 0.617931i \(0.787971\pi\)
\(138\) −1.57412 9.60171i −0.133998 0.817352i
\(139\) 4.65891 + 6.87138i 0.395164 + 0.582823i 0.972274 0.233843i \(-0.0751302\pi\)
−0.577111 + 0.816666i \(0.695820\pi\)
\(140\) −1.31052 0.996233i −0.110759 0.0841971i
\(141\) 2.63872 0.286978i 0.222220 0.0241679i
\(142\) −3.54356 6.68386i −0.297369 0.560897i
\(143\) 2.52713 + 1.52053i 0.211330 + 0.127153i
\(144\) 0.608522 0.366135i 0.0507101 0.0305113i
\(145\) −0.357705 + 0.674703i −0.0297058 + 0.0560311i
\(146\) 5.46177 13.7080i 0.452019 1.13448i
\(147\) 1.07706 + 0.237078i 0.0888342 + 0.0195539i
\(148\) −34.6366 7.62408i −2.84711 0.626696i
\(149\) −7.86270 + 19.7339i −0.644138 + 1.61666i 0.135749 + 0.990743i \(0.456656\pi\)
−0.779887 + 0.625921i \(0.784723\pi\)
\(150\) 5.23671 9.87749i 0.427576 0.806494i
\(151\) 13.1868 7.93422i 1.07312 0.645678i 0.134604 0.990900i \(-0.457024\pi\)
0.938521 + 0.345222i \(0.112196\pi\)
\(152\) −10.3476 6.22597i −0.839304 0.504992i
\(153\) −1.31354 2.47760i −0.106193 0.200302i
\(154\) −7.69824 + 0.837235i −0.620342 + 0.0674663i
\(155\) 0.239210 + 0.181843i 0.0192138 + 0.0146060i
\(156\) 4.20787 + 6.20615i 0.336899 + 0.496889i
\(157\) −1.74146 10.6224i −0.138983 0.847761i −0.960644 0.277784i \(-0.910400\pi\)
0.821660 0.569978i \(-0.193048\pi\)
\(158\) −6.32647 15.8782i −0.503307 1.26321i
\(159\) 4.30866 + 0.468596i 0.341699 + 0.0371620i
\(160\) −0.878169 0.831846i −0.0694254 0.0657632i
\(161\) 7.96223 9.37387i 0.627512 0.738764i
\(162\) −2.04380 0.945561i −0.160576 0.0742903i
\(163\) −4.57146 + 6.74240i −0.358065 + 0.528106i −0.963472 0.267810i \(-0.913700\pi\)
0.605407 + 0.795916i \(0.293010\pi\)
\(164\) 20.9630 7.06327i 1.63694 0.551549i
\(165\) 0.0608551 + 0.219180i 0.00473756 + 0.0170632i
\(166\) −9.65918 11.3717i −0.749698 0.882613i
\(167\) 1.07493 19.8259i 0.0831804 1.53417i −0.597665 0.801746i \(-0.703905\pi\)
0.680846 0.732427i \(-0.261612\pi\)
\(168\) −6.50712 2.19250i −0.502035 0.169155i
\(169\) −5.60394 + 4.26001i −0.431073 + 0.327693i
\(170\) −0.863302 + 0.817763i −0.0662123 + 0.0627196i
\(171\) −0.271033 4.99890i −0.0207264 0.382276i
\(172\) 1.39466 5.02312i 0.106342 0.383010i
\(173\) −15.1903 + 7.02780i −1.15490 + 0.534313i −0.901385 0.433018i \(-0.857449\pi\)
−0.253514 + 0.967332i \(0.581586\pi\)
\(174\) −1.47751 + 9.01240i −0.112010 + 0.683229i
\(175\) 13.8014 3.03792i 1.04329 0.229645i
\(176\) −0.857905 −0.0646670
\(177\) 3.40894 + 6.88325i 0.256231 + 0.517377i
\(178\) 24.3370 1.82413
\(179\) −6.54231 + 1.44007i −0.488995 + 0.107636i −0.452622 0.891702i \(-0.649511\pi\)
−0.0363728 + 0.999338i \(0.511580\pi\)
\(180\) −0.0935604 + 0.570693i −0.00697358 + 0.0425370i
\(181\) 8.52576 3.94444i 0.633715 0.293188i −0.0766108 0.997061i \(-0.524410\pi\)
0.710325 + 0.703874i \(0.248548\pi\)
\(182\) −4.18689 + 15.0798i −0.310353 + 1.11779i
\(183\) −0.520531 9.60063i −0.0384788 0.709699i
\(184\) −7.56672 + 7.16758i −0.557826 + 0.528401i
\(185\) −1.73110 + 1.31595i −0.127273 + 0.0967503i
\(186\) 3.40537 + 1.14740i 0.249694 + 0.0841318i
\(187\) −0.183400 + 3.38262i −0.0134115 + 0.247361i
\(188\) −5.27736 6.21299i −0.384891 0.453129i
\(189\) −0.761533 2.74279i −0.0553933 0.199509i
\(190\) −2.01174 + 0.677834i −0.145947 + 0.0491752i
\(191\) 2.07267 3.05697i 0.149973 0.221194i −0.745280 0.666752i \(-0.767684\pi\)
0.895253 + 0.445557i \(0.146994\pi\)
\(192\) −11.8398 5.47766i −0.854461 0.395316i
\(193\) 10.1774 11.9817i 0.732584 0.862464i −0.262142 0.965029i \(-0.584429\pi\)
0.994726 + 0.102565i \(0.0327049\pi\)
\(194\) 15.9962 + 15.1524i 1.14846 + 1.08788i
\(195\) 0.457036 + 0.0497057i 0.0327290 + 0.00355950i
\(196\) −1.25367 3.14647i −0.0895478 0.224748i
\(197\) 3.96148 + 24.1640i 0.282244 + 1.72161i 0.623658 + 0.781698i \(0.285646\pi\)
−0.341414 + 0.939913i \(0.610906\pi\)
\(198\) 1.52663 + 2.25161i 0.108493 + 0.160015i
\(199\) 14.6581 + 11.1428i 1.03909 + 0.789894i 0.978077 0.208243i \(-0.0667745\pi\)
0.0610106 + 0.998137i \(0.480568\pi\)
\(200\) −11.9055 + 1.29480i −0.841844 + 0.0915560i
\(201\) 5.53038 + 10.4314i 0.390083 + 0.735774i
\(202\) 36.0410 + 21.6851i 2.53583 + 1.52576i
\(203\) −9.89173 + 5.95165i −0.694263 + 0.417724i
\(204\) −4.03413 + 7.60918i −0.282446 + 0.532749i
\(205\) 0.502016 1.25997i 0.0350623 0.0879998i
\(206\) −20.7680 4.57138i −1.44697 0.318503i
\(207\) −4.21967 0.928820i −0.293287 0.0645575i
\(208\) −0.641771 + 1.61072i −0.0444988 + 0.111684i
\(209\) −2.83275 + 5.34313i −0.195945 + 0.369592i
\(210\) −1.03428 + 0.622305i −0.0713720 + 0.0429431i
\(211\) −13.1017 7.88304i −0.901960 0.542691i −0.0126109 0.999920i \(-0.504014\pi\)
−0.889349 + 0.457229i \(0.848842\pi\)
\(212\) −6.23487 11.7602i −0.428212 0.807694i
\(213\) −3.33970 + 0.363214i −0.228832 + 0.0248870i
\(214\) 12.7191 + 9.66884i 0.869463 + 0.660949i
\(215\) −0.179373 0.264555i −0.0122331 0.0180425i
\(216\) 0.390257 + 2.38046i 0.0265536 + 0.161970i
\(217\) 1.68129 + 4.21972i 0.114134 + 0.286454i
\(218\) 31.2334 + 3.39683i 2.11539 + 0.230063i
\(219\) −4.75717 4.50623i −0.321460 0.304503i
\(220\) 0.452269 0.532452i 0.0304920 0.0358979i
\(221\) 6.21369 + 2.87476i 0.417978 + 0.193377i
\(222\) −14.5937 + 21.5241i −0.979464 + 1.44460i
\(223\) −13.6051 + 4.58408i −0.911063 + 0.306973i −0.735523 0.677500i \(-0.763064\pi\)
−0.175540 + 0.984472i \(0.556167\pi\)
\(224\) −4.89190 17.6190i −0.326854 1.17722i
\(225\) −3.21398 3.78379i −0.214265 0.252252i
\(226\) 1.51869 28.0106i 0.101022 1.86324i
\(227\) 25.5722 + 8.61627i 1.69729 + 0.571882i 0.990738 0.135784i \(-0.0433554\pi\)
0.706547 + 0.707666i \(0.250252\pi\)
\(228\) −12.2400 + 9.30462i −0.810615 + 0.616214i
\(229\) 11.9362 11.3066i 0.788765 0.747158i −0.182999 0.983113i \(-0.558580\pi\)
0.971764 + 0.235955i \(0.0758217\pi\)
\(230\) 0.0991911 + 1.82947i 0.00654047 + 0.120632i
\(231\) −0.919941 + 3.31333i −0.0605277 + 0.218001i
\(232\) 8.87868 4.10772i 0.582914 0.269685i
\(233\) −1.48695 + 9.06997i −0.0974131 + 0.594193i 0.892336 + 0.451373i \(0.149066\pi\)
−0.989749 + 0.142821i \(0.954383\pi\)
\(234\) 5.36944 1.18190i 0.351011 0.0772634i
\(235\) −0.499807 −0.0326038
\(236\) 11.6218 20.5288i 0.756515 1.33631i
\(237\) −7.59002 −0.493025
\(238\) −17.5557 + 3.86430i −1.13797 + 0.250485i
\(239\) 1.21304 7.39920i 0.0784648 0.478614i −0.918138 0.396260i \(-0.870308\pi\)
0.996603 0.0823541i \(-0.0262439\pi\)
\(240\) −0.121368 + 0.0561510i −0.00783430 + 0.00362453i
\(241\) −1.33862 + 4.82127i −0.0862281 + 0.310565i −0.994069 0.108749i \(-0.965316\pi\)
0.907841 + 0.419314i \(0.137729\pi\)
\(242\) 1.16317 + 21.4535i 0.0747717 + 1.37908i
\(243\) −0.725995 + 0.687699i −0.0465726 + 0.0441159i
\(244\) −23.5076 + 17.8700i −1.50492 + 1.14401i
\(245\) −0.196797 0.0663085i −0.0125729 0.00423629i
\(246\) 0.878138 16.1963i 0.0559880 1.03264i
\(247\) 7.91268 + 9.31553i 0.503472 + 0.592733i
\(248\) −1.02980 3.70899i −0.0653921 0.235521i
\(249\) −6.27872 + 2.11555i −0.397898 + 0.134067i
\(250\) −2.37124 + 3.49732i −0.149970 + 0.221190i
\(251\) −7.82563 3.62052i −0.493950 0.228525i 0.157068 0.987588i \(-0.449796\pi\)
−0.651018 + 0.759062i \(0.725658\pi\)
\(252\) −5.65964 + 6.66304i −0.356524 + 0.419732i
\(253\) 3.78929 + 3.58941i 0.238231 + 0.225664i
\(254\) 49.7620 + 5.41195i 3.12235 + 0.339576i
\(255\) 0.195451 + 0.490545i 0.0122396 + 0.0307191i
\(256\) 1.80119 + 10.9868i 0.112575 + 0.686675i
\(257\) −10.3454 15.2583i −0.645325 0.951784i −0.999860 0.0167408i \(-0.994671\pi\)
0.354534 0.935043i \(-0.384639\pi\)
\(258\) −3.04307 2.31328i −0.189453 0.144019i
\(259\) −32.6789 + 3.55405i −2.03057 + 0.220838i
\(260\) −0.661356 1.24745i −0.0410155 0.0773635i
\(261\) 3.47499 + 2.09083i 0.215096 + 0.129419i
\(262\) 32.2084 19.3792i 1.98984 1.19725i
\(263\) 3.76659 7.10455i 0.232258 0.438085i −0.739800 0.672827i \(-0.765080\pi\)
0.972058 + 0.234742i \(0.0754246\pi\)
\(264\) 1.07859 2.70705i 0.0663826 0.166608i
\(265\) −0.797035 0.175441i −0.0489615 0.0107772i
\(266\) −31.3409 6.89865i −1.92163 0.422983i
\(267\) 4.00015 10.0396i 0.244805 0.614414i
\(268\) 16.9848 32.0368i 1.03751 1.95696i
\(269\) 23.6810 14.2484i 1.44386 0.868740i 0.444227 0.895914i \(-0.353478\pi\)
0.999631 + 0.0271740i \(0.00865081\pi\)
\(270\) 0.363345 + 0.218617i 0.0221124 + 0.0133046i
\(271\) 2.08991 + 3.94199i 0.126953 + 0.239459i 0.938838 0.344358i \(-0.111903\pi\)
−0.811885 + 0.583817i \(0.801559\pi\)
\(272\) −1.97985 + 0.215322i −0.120046 + 0.0130558i
\(273\) 5.53262 + 4.20579i 0.334849 + 0.254546i
\(274\) −8.37304 12.3493i −0.505834 0.746050i
\(275\) 0.970244 + 5.91823i 0.0585079 + 0.356882i
\(276\) 4.91160 + 12.3272i 0.295644 + 0.742010i
\(277\) −25.3640 2.75850i −1.52397 0.165742i −0.692546 0.721374i \(-0.743511\pi\)
−0.831429 + 0.555632i \(0.812476\pi\)
\(278\) −13.5727 12.8567i −0.814035 0.771095i
\(279\) 1.03306 1.21621i 0.0618475 0.0728125i
\(280\) 1.17348 + 0.542912i 0.0701291 + 0.0324452i
\(281\) −10.6907 + 15.7676i −0.637755 + 0.940618i 0.362209 + 0.932097i \(0.382023\pi\)
−0.999964 + 0.00852082i \(0.997288\pi\)
\(282\) −5.66436 + 1.90854i −0.337308 + 0.113652i
\(283\) 2.33821 + 8.42148i 0.138992 + 0.500605i 0.999968 0.00804157i \(-0.00255974\pi\)
−0.860975 + 0.508647i \(0.830146\pi\)
\(284\) 6.67929 + 7.86347i 0.396343 + 0.466611i
\(285\) −0.0510360 + 0.941304i −0.00302311 + 0.0557580i
\(286\) −6.29396 2.12068i −0.372170 0.125399i
\(287\) 16.3223 12.4079i 0.963474 0.732414i
\(288\) −4.66362 + 4.41761i −0.274806 + 0.260310i
\(289\) −0.494619 9.12271i −0.0290952 0.536630i
\(290\) 0.460071 1.65703i 0.0270163 0.0973040i
\(291\) 8.87993 4.10830i 0.520551 0.240833i
\(292\) −3.25575 + 19.8592i −0.190528 + 1.16217i
\(293\) −12.7044 + 2.79646i −0.742201 + 0.163371i −0.569946 0.821682i \(-0.693036\pi\)
−0.172254 + 0.985053i \(0.555105\pi\)
\(294\) −2.48352 −0.144842
\(295\) −0.498011 1.35794i −0.0289953 0.0790621i
\(296\) 27.8563 1.61911
\(297\) 1.17977 0.259687i 0.0684572 0.0150686i
\(298\) 7.73915 47.2067i 0.448317 2.73461i
\(299\) 9.57379 4.42931i 0.553667 0.256153i
\(300\) −4.07902 + 14.6913i −0.235502 + 0.848202i
\(301\) −0.261590 4.82475i −0.0150778 0.278094i
\(302\) −25.1605 + 23.8333i −1.44782 + 1.37145i
\(303\) 14.8695 11.3035i 0.854232 0.649370i
\(304\) −3.36922 1.13522i −0.193238 0.0651094i
\(305\) −0.0980171 + 1.80782i −0.00561245 + 0.103515i
\(306\) 4.08825 + 4.81306i 0.233710 + 0.275144i
\(307\) −0.381961 1.37570i −0.0217997 0.0785154i 0.951850 0.306564i \(-0.0991793\pi\)
−0.973650 + 0.228049i \(0.926766\pi\)
\(308\) 10.0080 3.37208i 0.570257 0.192142i
\(309\) −5.29933 + 7.81593i −0.301469 + 0.444633i
\(310\) −0.614121 0.284122i −0.0348797 0.0161371i
\(311\) −5.07278 + 5.97213i −0.287651 + 0.338649i −0.886941 0.461883i \(-0.847174\pi\)
0.599290 + 0.800532i \(0.295450\pi\)
\(312\) −4.27566 4.05012i −0.242062 0.229293i
\(313\) 3.71406 + 0.403928i 0.209931 + 0.0228314i 0.212480 0.977165i \(-0.431846\pi\)
−0.00254920 + 0.999997i \(0.500811\pi\)
\(314\) 8.97225 + 22.5186i 0.506333 + 1.27080i
\(315\) 0.0867170 + 0.528950i 0.00488595 + 0.0298030i
\(316\) 13.0815 + 19.2937i 0.735891 + 1.08536i
\(317\) −7.39740 5.62336i −0.415479 0.315839i 0.376467 0.926430i \(-0.377139\pi\)
−0.791946 + 0.610591i \(0.790932\pi\)
\(318\) −9.70281 + 1.05524i −0.544107 + 0.0591752i
\(319\) −2.29478 4.32842i −0.128483 0.242345i
\(320\) 2.10486 + 1.26646i 0.117666 + 0.0707970i
\(321\) 6.07922 3.65774i 0.339309 0.204155i
\(322\) −12.9733 + 24.4703i −0.722975 + 1.36368i
\(323\) −5.19630 + 13.0417i −0.289130 + 0.725662i
\(324\) 2.99939 + 0.660215i 0.166633 + 0.0366786i
\(325\) 11.8373 + 2.60559i 0.656616 + 0.144532i
\(326\) 6.78994 17.0415i 0.376060 0.943840i
\(327\) 6.53494 12.3262i 0.361383 0.681641i
\(328\) −14.8877 + 8.95763i −0.822036 + 0.494602i
\(329\) −6.47401 3.89528i −0.356924 0.214754i
\(330\) −0.239942 0.452579i −0.0132084 0.0249136i
\(331\) 2.24917 0.244612i 0.123626 0.0134451i −0.0460969 0.998937i \(-0.514678\pi\)
0.169723 + 0.985492i \(0.445713\pi\)
\(332\) 16.1992 + 12.3143i 0.889044 + 0.675834i
\(333\) 6.48052 + 9.55806i 0.355131 + 0.523778i
\(334\) 7.23361 + 44.1230i 0.395805 + 2.41431i
\(335\) −0.822905 2.06533i −0.0449601 0.112841i
\(336\) −2.00971 0.218569i −0.109639 0.0119239i
\(337\) 10.6153 + 10.0554i 0.578255 + 0.547752i 0.919938 0.392063i \(-0.128239\pi\)
−0.341684 + 0.939815i \(0.610997\pi\)
\(338\) 10.2624 12.0818i 0.558200 0.657164i
\(339\) −11.3055 5.23046i −0.614028 0.284079i
\(340\) 0.910098 1.34229i 0.0493570 0.0727961i
\(341\) −1.82676 + 0.615507i −0.0989246 + 0.0333316i
\(342\) 3.01604 + 10.8628i 0.163089 + 0.587392i
\(343\) 10.8674 + 12.7941i 0.586784 + 0.690815i
\(344\) −0.221678 + 4.08862i −0.0119521 + 0.220444i
\(345\) 0.771006 + 0.259782i 0.0415096 + 0.0139862i
\(346\) 30.0057 22.8097i 1.61311 1.22626i
\(347\) −14.0487 + 13.3077i −0.754176 + 0.714393i −0.964745 0.263186i \(-0.915227\pi\)
0.210569 + 0.977579i \(0.432468\pi\)
\(348\) −0.674312 12.4370i −0.0361469 0.666691i
\(349\) 3.42642 12.3408i 0.183412 0.660590i −0.813465 0.581614i \(-0.802421\pi\)
0.996877 0.0789755i \(-0.0251649\pi\)
\(350\) −28.8825 + 13.3625i −1.54384 + 0.714255i
\(351\) 0.394983 2.40929i 0.0210826 0.128598i
\(352\) 7.57855 1.66817i 0.403938 0.0889135i
\(353\) 13.5133 0.719241 0.359621 0.933099i \(-0.382906\pi\)
0.359621 + 0.933099i \(0.382906\pi\)
\(354\) −10.8294 13.4879i −0.575575 0.716876i
\(355\) 0.632580 0.0335739
\(356\) −32.4149 + 7.13505i −1.71798 + 0.378157i
\(357\) −1.29142 + 7.87731i −0.0683492 + 0.416912i
\(358\) 13.6912 6.33424i 0.723605 0.334775i
\(359\) 0.725398 2.61265i 0.0382850 0.137890i −0.941938 0.335788i \(-0.890998\pi\)
0.980223 + 0.197897i \(0.0634113\pi\)
\(360\) −0.0245915 0.453564i −0.00129609 0.0239049i
\(361\) −4.40133 + 4.16916i −0.231649 + 0.219429i
\(362\) −16.8410 + 12.8022i −0.885145 + 0.672870i
\(363\) 9.04128 + 3.04636i 0.474544 + 0.159893i
\(364\) 1.15553 21.3126i 0.0605665 1.11708i
\(365\) 0.798791 + 0.940410i 0.0418106 + 0.0492233i
\(366\) 5.79244 + 20.8625i 0.302776 + 1.09050i
\(367\) −16.5817 + 5.58702i −0.865557 + 0.291640i −0.716838 0.697239i \(-0.754411\pi\)
−0.148719 + 0.988880i \(0.547515\pi\)
\(368\) −1.72198 + 2.53973i −0.0897644 + 0.132393i
\(369\) −6.53704 3.02436i −0.340305 0.157442i
\(370\) 3.17012 3.73216i 0.164807 0.194026i
\(371\) −8.95671 8.48425i −0.465009 0.440480i
\(372\) −4.87207 0.529870i −0.252605 0.0274725i
\(373\) −7.36641 18.4883i −0.381418 0.957287i −0.986886 0.161418i \(-0.948393\pi\)
0.605468 0.795870i \(-0.292986\pi\)
\(374\) −1.23417 7.52811i −0.0638175 0.389269i
\(375\) 1.05298 + 1.55303i 0.0543757 + 0.0801981i
\(376\) 5.09719 + 3.87479i 0.262868 + 0.199827i
\(377\) −9.84328 + 1.07052i −0.506955 + 0.0551347i
\(378\) 3.00261 + 5.66351i 0.154437 + 0.291300i
\(379\) 12.2486 + 7.36975i 0.629169 + 0.378559i 0.794136 0.607741i \(-0.207924\pi\)
−0.164966 + 0.986299i \(0.552752\pi\)
\(380\) 2.48075 1.49262i 0.127260 0.0765695i
\(381\) 10.4117 19.6385i 0.533407 1.00611i
\(382\) −3.07852 + 7.72651i −0.157511 + 0.395323i
\(383\) 7.70495 + 1.69599i 0.393705 + 0.0866609i 0.407410 0.913245i \(-0.366432\pi\)
−0.0137060 + 0.999906i \(0.504363\pi\)
\(384\) 16.1436 + 3.55346i 0.823822 + 0.181337i
\(385\) 0.239668 0.601520i 0.0122146 0.0306563i
\(386\) −16.5826 + 31.2781i −0.844031 + 1.59201i
\(387\) −1.45446 + 0.875119i −0.0739343 + 0.0444848i
\(388\) −25.7479 15.4920i −1.30715 0.786487i
\(389\) 1.34054 + 2.52853i 0.0679681 + 0.128201i 0.915168 0.403073i \(-0.132058\pi\)
−0.847200 + 0.531275i \(0.821713\pi\)
\(390\) −1.02921 + 0.111934i −0.0521162 + 0.00566798i
\(391\) 9.64574 + 7.33250i 0.487806 + 0.370820i
\(392\) 1.49294 + 2.20192i 0.0754047 + 0.111214i
\(393\) −2.70045 16.4720i −0.136220 0.830904i
\(394\) −20.4101 51.2256i −1.02825 2.58071i
\(395\) 1.42084 + 0.154526i 0.0714902 + 0.00777503i
\(396\) −2.69347 2.55139i −0.135352 0.128212i
\(397\) 17.0276 20.0464i 0.854589 1.00610i −0.145272 0.989392i \(-0.546406\pi\)
0.999860 0.0167080i \(-0.00531856\pi\)
\(398\) −37.6316 17.4102i −1.88630 0.872696i
\(399\) −7.99721 + 11.7950i −0.400361 + 0.590488i
\(400\) −3.34115 + 1.12577i −0.167058 + 0.0562883i
\(401\) −8.57571 30.8869i −0.428251 1.54242i −0.791762 0.610830i \(-0.790836\pi\)
0.363512 0.931590i \(-0.381578\pi\)
\(402\) −17.2127 20.2643i −0.858491 1.01069i
\(403\) −0.210920 + 3.89020i −0.0105067 + 0.193785i
\(404\) −54.3612 18.3164i −2.70457 0.911276i
\(405\) 0.149906 0.113956i 0.00744889 0.00566250i
\(406\) 18.8735 17.8779i 0.936676 0.887267i
\(407\) −0.755237 13.9295i −0.0374357 0.690461i
\(408\) 1.80971 6.51799i 0.0895941 0.322689i
\(409\) −4.55390 + 2.10686i −0.225176 + 0.104177i −0.529234 0.848476i \(-0.677520\pi\)
0.304058 + 0.952654i \(0.401658\pi\)
\(410\) −0.494127 + 3.01404i −0.0244032 + 0.148853i
\(411\) −6.47063 + 1.42429i −0.319173 + 0.0702552i
\(412\) 29.0015 1.42880
\(413\) 4.13243 21.4707i 0.203344 1.05650i
\(414\) 9.72988 0.478198
\(415\) 1.21844 0.268198i 0.0598107 0.0131653i
\(416\) 2.53728 15.4767i 0.124400 0.758807i
\(417\) −7.53459 + 3.48587i −0.368970 + 0.170704i
\(418\) 3.64341 13.1224i 0.178205 0.641837i
\(419\) −0.505556 9.32443i −0.0246980 0.455528i −0.984559 0.175052i \(-0.943991\pi\)
0.959861 0.280476i \(-0.0904922\pi\)
\(420\) 1.19513 1.13209i 0.0583163 0.0552401i
\(421\) −6.87990 + 5.22996i −0.335306 + 0.254893i −0.759255 0.650793i \(-0.774437\pi\)
0.423949 + 0.905686i \(0.360643\pi\)
\(422\) 32.6305 + 10.9945i 1.58843 + 0.535204i
\(423\) −0.143700 + 2.65039i −0.00698692 + 0.128866i
\(424\) 6.76831 + 7.96827i 0.328698 + 0.386973i
\(425\) 3.72450 + 13.4144i 0.180665 + 0.650695i
\(426\) 7.16910 2.41555i 0.347344 0.117034i
\(427\) −15.3590 + 22.6529i −0.743275 + 1.09625i
\(428\) −19.7755 9.14914i −0.955887 0.442240i
\(429\) −1.90934 + 2.24785i −0.0921838 + 0.108527i
\(430\) 0.522562 + 0.494997i 0.0252002 + 0.0238709i
\(431\) −9.92076 1.07895i −0.477866 0.0519711i −0.133983 0.990984i \(-0.542777\pi\)
−0.343883 + 0.939013i \(0.611742\pi\)
\(432\) 0.262864 + 0.659739i 0.0126471 + 0.0317417i
\(433\) 0.263231 + 1.60564i 0.0126501 + 0.0771621i 0.992397 0.123077i \(-0.0392763\pi\)
−0.979747 + 0.200239i \(0.935828\pi\)
\(434\) −5.74039 8.46645i −0.275548 0.406403i
\(435\) −0.607945 0.462148i −0.0291487 0.0221583i
\(436\) −42.5961 + 4.63261i −2.03999 + 0.221862i
\(437\) 10.1319 + 19.1107i 0.484673 + 0.914190i
\(438\) 12.6438 + 7.60752i 0.604144 + 0.363502i
\(439\) −7.63965 + 4.59663i −0.364621 + 0.219385i −0.686060 0.727545i \(-0.740661\pi\)
0.321439 + 0.946930i \(0.395834\pi\)
\(440\) −0.257023 + 0.484797i −0.0122531 + 0.0231118i
\(441\) −0.408203 + 1.02451i −0.0194383 + 0.0487864i
\(442\) −15.0573 3.31437i −0.716204 0.157648i
\(443\) −19.6977 4.33578i −0.935864 0.205999i −0.279244 0.960220i \(-0.590084\pi\)
−0.656621 + 0.754221i \(0.728015\pi\)
\(444\) 13.1272 32.9468i 0.622990 1.56359i
\(445\) −0.953218 + 1.79796i −0.0451868 + 0.0852314i
\(446\) 27.7022 16.6679i 1.31174 0.789247i
\(447\) −18.2019 10.9517i −0.860920 0.517998i
\(448\) 17.3942 + 32.8089i 0.821797 + 1.55007i
\(449\) 29.1937 3.17501i 1.37774 0.149838i 0.610914 0.791697i \(-0.290802\pi\)
0.766822 + 0.641860i \(0.221837\pi\)
\(450\) 8.90016 + 6.76573i 0.419558 + 0.318939i
\(451\) 4.88290 + 7.20173i 0.229927 + 0.339116i
\(452\) 6.18930 + 37.7531i 0.291120 + 1.77576i
\(453\) 5.69632 + 14.2967i 0.267636 + 0.671717i
\(454\) −60.4115 6.57015i −2.83525 0.308352i
\(455\) −0.950072 0.899956i −0.0445400 0.0421906i
\(456\) 7.81801 9.20407i 0.366112 0.431020i
\(457\) 15.9315 + 7.37068i 0.745243 + 0.344786i 0.755489 0.655161i \(-0.227399\pi\)
−0.0102461 + 0.999948i \(0.503261\pi\)
\(458\) −20.7775 + 30.6446i −0.970871 + 1.43193i
\(459\) 2.65747 0.895405i 0.124040 0.0417939i
\(460\) −0.668474 2.40763i −0.0311678 0.112256i
\(461\) 25.3817 + 29.8816i 1.18214 + 1.39173i 0.901983 + 0.431772i \(0.142111\pi\)
0.280159 + 0.959953i \(0.409613\pi\)
\(462\) 0.419232 7.73228i 0.0195044 0.359738i
\(463\) 27.6598 + 9.31967i 1.28546 + 0.433122i 0.877368 0.479819i \(-0.159298\pi\)
0.408092 + 0.912941i \(0.366194\pi\)
\(464\) 2.29285 1.74298i 0.106443 0.0809159i
\(465\) −0.218147 + 0.206640i −0.0101163 + 0.00958271i
\(466\) −1.12055 20.6672i −0.0519083 0.957391i
\(467\) 4.87516 17.5587i 0.225596 0.812522i −0.760919 0.648847i \(-0.775251\pi\)
0.986514 0.163675i \(-0.0523347\pi\)
\(468\) −6.80515 + 3.14840i −0.314568 + 0.145535i
\(469\) 5.43725 33.1657i 0.251069 1.53145i
\(470\) 1.09922 0.241956i 0.0507030 0.0111606i
\(471\) 10.7642 0.495989
\(472\) −5.44861 + 17.7096i −0.250793 + 0.815148i
\(473\) 2.05052 0.0942832
\(474\) 16.6926 3.67432i 0.766716 0.168767i
\(475\) −4.02088 + 24.5263i −0.184491 + 1.12534i
\(476\) 22.2498 10.2939i 1.01982 0.471819i
\(477\) −1.15949 + 4.17609i −0.0530893 + 0.191210i
\(478\) 0.914130 + 16.8601i 0.0418113 + 0.771165i
\(479\) 7.98750 7.56617i 0.364958 0.345707i −0.483142 0.875542i \(-0.660505\pi\)
0.848101 + 0.529835i \(0.177746\pi\)
\(480\) 0.962960 0.732023i 0.0439529 0.0334121i
\(481\) −26.7178 9.00227i −1.21823 0.410468i
\(482\) 0.610031 11.2514i 0.0277861 0.512485i
\(483\) 7.96223 + 9.37387i 0.362294 + 0.426526i
\(484\) −7.83893 28.2333i −0.356315 1.28333i
\(485\) −1.74595 + 0.588279i −0.0792795 + 0.0267124i
\(486\) 1.26375 1.86390i 0.0573250 0.0845481i
\(487\) 4.93060 + 2.28114i 0.223427 + 0.103368i 0.528410 0.848990i \(-0.322789\pi\)
−0.304983 + 0.952358i \(0.598651\pi\)
\(488\) 15.0149 17.6769i 0.679691 0.800194i
\(489\) −5.91400 5.60204i −0.267440 0.253333i
\(490\) 0.464911 + 0.0505621i 0.0210025 + 0.00228416i
\(491\) 7.83109 + 19.6546i 0.353412 + 0.886998i 0.992982 + 0.118265i \(0.0377332\pi\)
−0.639570 + 0.768733i \(0.720888\pi\)
\(492\) 3.57878 + 21.8296i 0.161344 + 0.984154i
\(493\) −6.38221 9.41306i −0.287440 0.423943i
\(494\) −21.9119 16.6570i −0.985861 0.749432i
\(495\) −0.226138 + 0.0245940i −0.0101641 + 0.00110542i
\(496\) −0.530827 1.00125i −0.0238348 0.0449573i
\(497\) 8.19384 + 4.93007i 0.367544 + 0.221144i
\(498\) 12.7845 7.69220i 0.572889 0.344696i
\(499\) −12.8597 + 24.2559i −0.575678 + 1.08584i 0.409175 + 0.912456i \(0.365816\pi\)
−0.984854 + 0.173388i \(0.944528\pi\)
\(500\) 2.13296 5.35333i 0.0953890 0.239408i
\(501\) 19.3908 + 4.26824i 0.866317 + 0.190691i
\(502\) 18.9635 + 4.17417i 0.846381 + 0.186302i
\(503\) 6.68512 16.7784i 0.298075 0.748112i −0.701304 0.712863i \(-0.747398\pi\)
0.999379 0.0352490i \(-0.0112224\pi\)
\(504\) 3.21636 6.06669i 0.143268 0.270232i
\(505\) −3.01368 + 1.81327i −0.134107 + 0.0806895i
\(506\) −10.0713 6.05973i −0.447726 0.269388i
\(507\) −3.29727 6.21931i −0.146437 0.276209i
\(508\) −67.8656 + 7.38083i −3.01105 + 0.327471i
\(509\) 16.8435 + 12.8041i 0.746577 + 0.567533i 0.907809 0.419384i \(-0.137754\pi\)
−0.161232 + 0.986916i \(0.551547\pi\)
\(510\) −0.667324 0.984229i −0.0295496 0.0435824i
\(511\) 3.01761 + 18.4066i 0.133491 + 0.814261i
\(512\) 2.95676 + 7.42091i 0.130672 + 0.327961i
\(513\) 4.97690 + 0.541270i 0.219735 + 0.0238977i
\(514\) 30.1388 + 28.5490i 1.32937 + 1.25924i
\(515\) 1.15115 1.35524i 0.0507258 0.0597190i
\(516\) 4.73132 + 2.18894i 0.208285 + 0.0963628i
\(517\) 1.79939 2.65390i 0.0791372 0.116719i
\(518\) 70.1496 23.6362i 3.08220 1.03851i
\(519\) −4.47769 16.1272i −0.196549 0.707905i
\(520\) 0.717940 + 0.845224i 0.0314837 + 0.0370655i
\(521\) 0.00221862 0.0409200i 9.71995e−5 0.00179274i −0.998484 0.0550353i \(-0.982473\pi\)
0.998582 + 0.0532425i \(0.0169556\pi\)
\(522\) −8.65465 2.91609i −0.378804 0.127634i
\(523\) −26.7265 + 20.3169i −1.16867 + 0.888398i −0.995336 0.0964659i \(-0.969246\pi\)
−0.173331 + 0.984864i \(0.555453\pi\)
\(524\) −37.2174 + 35.2542i −1.62585 + 1.54009i
\(525\) 0.765081 + 14.1111i 0.0333909 + 0.615858i
\(526\) −4.84450 + 17.4483i −0.211230 + 0.760782i
\(527\) −4.06127 + 1.87894i −0.176912 + 0.0818481i
\(528\) 0.138794 0.846603i 0.00604021 0.0368437i
\(529\) −4.23039 + 0.931179i −0.183930 + 0.0404861i
\(530\) 1.83783 0.0798304
\(531\) −7.34408 + 2.25044i −0.318706 + 0.0976610i
\(532\) 43.7660 1.89750
\(533\) 17.1740 3.78029i 0.743890 0.163743i
\(534\) −3.93729 + 24.0164i −0.170383 + 1.03929i
\(535\) −1.21249 + 0.560957i −0.0524204 + 0.0242523i
\(536\) −7.61940 + 27.4426i −0.329108 + 1.18534i
\(537\) −0.362673 6.68910i −0.0156505 0.288656i
\(538\) −45.1836 + 42.8002i −1.94800 + 1.84525i
\(539\) 1.06059 0.806241i 0.0456829 0.0347272i
\(540\) −0.548039 0.184656i −0.0235838 0.00794632i
\(541\) −2.34105 + 43.1781i −0.100650 + 1.85637i 0.317833 + 0.948147i \(0.397045\pi\)
−0.418483 + 0.908225i \(0.637438\pi\)
\(542\) −6.50461 7.65782i −0.279397 0.328932i
\(543\) 2.51316 + 9.05158i 0.107850 + 0.388441i
\(544\) 17.0709 5.75187i 0.731910 0.246609i
\(545\) −1.47428 + 2.17440i −0.0631513 + 0.0931411i
\(546\) −14.2038 6.57138i −0.607867 0.281229i
\(547\) −1.72272 + 2.02814i −0.0736582 + 0.0867171i −0.797757 0.602979i \(-0.793980\pi\)
0.724099 + 0.689696i \(0.242256\pi\)
\(548\) 14.7727 + 13.9935i 0.631061 + 0.597772i
\(549\) 9.55837 + 1.03954i 0.407941 + 0.0443663i
\(550\) −4.99884 12.5461i −0.213151 0.534970i
\(551\) −3.28463 20.0354i −0.139930 0.853536i
\(552\) −5.84899 8.62662i −0.248950 0.367173i
\(553\) 17.1999 + 13.0750i 0.731413 + 0.556006i
\(554\) 57.1179 6.21195i 2.42671 0.263920i
\(555\) −1.01855 1.92119i −0.0432351 0.0815500i
\(556\) 21.8470 + 13.1449i 0.926519 + 0.557468i
\(557\) 19.7528 11.8849i 0.836953 0.503578i −0.0314102 0.999507i \(-0.510000\pi\)
0.868363 + 0.495929i \(0.165172\pi\)
\(558\) −1.68322 + 3.17488i −0.0712563 + 0.134404i
\(559\) 1.53393 3.84987i 0.0648783 0.162832i
\(560\) 0.371764 + 0.0818315i 0.0157099 + 0.00345801i
\(561\) −3.30839 0.728231i −0.139680 0.0307459i
\(562\) 15.8788 39.8528i 0.669807 1.68109i
\(563\) −14.0311 + 26.4654i −0.591339 + 1.11538i 0.389585 + 0.920990i \(0.372618\pi\)
−0.980924 + 0.194393i \(0.937726\pi\)
\(564\) 6.98492 4.20269i 0.294118 0.176965i
\(565\) 2.00987 + 1.20930i 0.0845561 + 0.0508757i
\(566\) −9.21921 17.3893i −0.387512 0.730926i
\(567\) 2.82986 0.307766i 0.118843 0.0129250i
\(568\) −6.45126 4.90412i −0.270689 0.205772i
\(569\) −8.33960 12.3000i −0.349614 0.515642i 0.611702 0.791088i \(-0.290485\pi\)
−0.961317 + 0.275445i \(0.911175\pi\)
\(570\) −0.343441 2.09490i −0.0143852 0.0877457i
\(571\) −10.9394 27.4559i −0.457800 1.14899i −0.958936 0.283623i \(-0.908464\pi\)
0.501136 0.865369i \(-0.332916\pi\)
\(572\) 9.00478 + 0.979329i 0.376509 + 0.0409478i
\(573\) 2.68137 + 2.53993i 0.112016 + 0.106107i
\(574\) −29.8907 + 35.1900i −1.24761 + 1.46880i
\(575\) 19.4677 + 9.00672i 0.811859 + 0.375606i
\(576\) 7.32096 10.7976i 0.305040 0.449900i
\(577\) −8.12741 + 2.73844i −0.338349 + 0.114003i −0.483347 0.875429i \(-0.660579\pi\)
0.144998 + 0.989432i \(0.453682\pi\)
\(578\) 5.50410 + 19.8240i 0.228940 + 0.824568i
\(579\) 10.1774 + 11.9817i 0.422958 + 0.497944i
\(580\) −0.126974 + 2.34191i −0.00527233 + 0.0972424i
\(581\) 17.8727 + 6.02201i 0.741484 + 0.249835i
\(582\) −17.5407 + 13.3341i −0.727083 + 0.552714i
\(583\) 3.80103 3.60053i 0.157423 0.149119i
\(584\) −0.855746 15.7833i −0.0354110 0.653118i
\(585\) −0.122991 + 0.442974i −0.00508506 + 0.0183147i
\(586\) 26.5868 12.3004i 1.09829 0.508124i
\(587\) 7.71692 47.0711i 0.318511 1.94283i −0.0144584 0.999895i \(-0.504602\pi\)
0.332970 0.942938i \(-0.391949\pi\)
\(588\) 3.30784 0.728112i 0.136413 0.0300268i
\(589\) −7.98863 −0.329166
\(590\) 1.75264 + 2.74540i 0.0721551 + 0.113026i
\(591\) −24.4865 −1.00724
\(592\) 8.00933 1.76299i 0.329181 0.0724583i
\(593\) 6.49226 39.6010i 0.266605 1.62622i −0.425874 0.904782i \(-0.640033\pi\)
0.692479 0.721438i \(-0.256518\pi\)
\(594\) −2.46893 + 1.14225i −0.101302 + 0.0468671i
\(595\) 0.402126 1.44833i 0.0164856 0.0593757i
\(596\) 3.53203 + 65.1444i 0.144677 + 2.66842i
\(597\) −13.3675 + 12.6623i −0.547094 + 0.518235i
\(598\) −18.9112 + 14.3759i −0.773338 + 0.587876i
\(599\) 17.7351 + 5.97564i 0.724635 + 0.244158i 0.657360 0.753577i \(-0.271673\pi\)
0.0672746 + 0.997734i \(0.478570\pi\)
\(600\) 0.648350 11.9581i 0.0264688 0.488188i
\(601\) 21.4320 + 25.2317i 0.874231 + 1.02922i 0.999312 + 0.0370779i \(0.0118050\pi\)
−0.125081 + 0.992146i \(0.539919\pi\)
\(602\) 2.91096 + 10.4843i 0.118642 + 0.427310i
\(603\) −11.1887 + 3.76991i −0.455639 + 0.153523i
\(604\) 26.5243 39.1205i 1.07926 1.59179i
\(605\) −1.63049 0.754346i −0.0662889 0.0306685i
\(606\) −27.2303 + 32.0579i −1.10615 + 1.30226i
\(607\) −6.86245 6.50046i −0.278538 0.263846i 0.535658 0.844435i \(-0.320064\pi\)
−0.814197 + 0.580589i \(0.802822\pi\)
\(608\) 31.9704 + 3.47699i 1.29657 + 0.141010i
\(609\) −4.27295 10.7243i −0.173149 0.434570i
\(610\) −0.659595 4.02335i −0.0267062 0.162901i
\(611\) −3.63666 5.36367i −0.147123 0.216991i
\(612\) −6.85629 5.21201i −0.277149 0.210683i
\(613\) −23.5241 + 2.55840i −0.950129 + 0.103333i −0.570040 0.821617i \(-0.693072\pi\)
−0.380089 + 0.924950i \(0.624107\pi\)
\(614\) 1.50601 + 2.84065i 0.0607778 + 0.114639i
\(615\) 1.16215 + 0.699242i 0.0468624 + 0.0281962i
\(616\) −7.10754 + 4.27647i −0.286371 + 0.172304i
\(617\) 13.9678 26.3461i 0.562323 1.06065i −0.425484 0.904966i \(-0.639896\pi\)
0.987806 0.155687i \(-0.0497592\pi\)
\(618\) 7.87104 19.7548i 0.316620 0.794656i
\(619\) −14.4147 3.17292i −0.579376 0.127530i −0.0843922 0.996433i \(-0.526895\pi\)
−0.494983 + 0.868902i \(0.664826\pi\)
\(620\) 0.901256 + 0.198382i 0.0361953 + 0.00796719i
\(621\) 1.59925 4.01382i 0.0641757 0.161069i
\(622\) 8.26536 15.5901i 0.331411 0.625107i
\(623\) −26.3596 + 15.8601i −1.05608 + 0.635420i
\(624\) −1.48568 0.893902i −0.0594747 0.0357847i
\(625\) 11.4617 + 21.6190i 0.458467 + 0.864760i
\(626\) −8.36380 + 0.909618i −0.334285 + 0.0363556i
\(627\) −4.81446 3.65985i −0.192271 0.146161i
\(628\) −18.5523 27.3625i −0.740315 1.09188i
\(629\) −5.23904 31.9567i −0.208894 1.27420i
\(630\) −0.446779 1.12133i −0.0178001 0.0446749i
\(631\) −19.4108 2.11105i −0.772730 0.0840395i −0.286746 0.958007i \(-0.592573\pi\)
−0.485985 + 0.873967i \(0.661539\pi\)
\(632\) −13.2922 12.5911i −0.528736 0.500845i
\(633\) 9.89882 11.6538i 0.393443 0.463197i
\(634\) 18.9912 + 8.78628i 0.754238 + 0.348948i
\(635\) −2.34887 + 3.46433i −0.0932122 + 0.137478i
\(636\) 12.6140 4.25014i 0.500177 0.168529i
\(637\) −0.720329 2.59439i −0.0285405 0.102794i
\(638\) 7.14225 + 8.40850i 0.282764 + 0.332896i
\(639\) 0.181874 3.35446i 0.00719481 0.132700i
\(640\) −2.94970 0.993870i −0.116597 0.0392862i
\(641\) −34.9584 + 26.5747i −1.38077 + 1.04964i −0.389053 + 0.921215i \(0.627198\pi\)
−0.991720 + 0.128421i \(0.959009\pi\)
\(642\) −11.5992 + 10.9873i −0.457784 + 0.433636i
\(643\) −2.32044 42.7980i −0.0915093 1.68779i −0.579525 0.814954i \(-0.696762\pi\)
0.488016 0.872835i \(-0.337721\pi\)
\(644\) 10.1053 36.3959i 0.398203 1.43420i
\(645\) 0.290089 0.134209i 0.0114222 0.00528449i
\(646\) 5.11465 31.1980i 0.201233 1.22747i
\(647\) −17.5691 + 3.86726i −0.690714 + 0.152038i −0.546438 0.837500i \(-0.684016\pi\)
−0.144276 + 0.989537i \(0.546085\pi\)
\(648\) −2.41224 −0.0947618
\(649\) 9.00338 + 2.24444i 0.353414 + 0.0881019i
\(650\) −27.2950 −1.07060
\(651\) −4.43614 + 0.976468i −0.173866 + 0.0382708i
\(652\) −4.04747 + 24.6885i −0.158511 + 0.966876i
\(653\) 5.31290 2.45801i 0.207910 0.0961893i −0.313171 0.949697i \(-0.601391\pi\)
0.521080 + 0.853508i \(0.325529\pi\)
\(654\) −8.40508 + 30.2724i −0.328665 + 1.18374i
\(655\) 0.170165 + 3.13851i 0.00664891 + 0.122632i
\(656\) −3.71364 + 3.51775i −0.144993 + 0.137345i
\(657\) 5.21649 3.96547i 0.203515 0.154708i
\(658\) 16.1239 + 5.43277i 0.628574 + 0.211791i
\(659\) 0.483334 8.91458i 0.0188280 0.347263i −0.973907 0.226945i \(-0.927126\pi\)
0.992735 0.120317i \(-0.0383912\pi\)
\(660\) 0.452269 + 0.532452i 0.0176045 + 0.0207257i
\(661\) −3.81278 13.7324i −0.148300 0.534128i −0.999950 0.0100169i \(-0.996811\pi\)
0.851650 0.524111i \(-0.175602\pi\)
\(662\) −4.82815 + 1.62679i −0.187651 + 0.0632271i
\(663\) −3.84215 + 5.66675i −0.149217 + 0.220078i
\(664\) −14.5053 6.71085i −0.562913 0.260431i
\(665\) 1.73720 2.04519i 0.0673657 0.0793090i
\(666\) −18.8795 17.8836i −0.731567 0.692977i
\(667\) −17.4199 1.89452i −0.674499 0.0733562i
\(668\) −22.5704 56.6475i −0.873277 2.19176i
\(669\) −2.32264 14.1675i −0.0897984 0.547746i
\(670\) 2.80962 + 4.14389i 0.108545 + 0.160092i
\(671\) −9.24640 7.02893i −0.356953 0.271349i
\(672\) 18.1783 1.97701i 0.701245 0.0762650i
\(673\) −10.8367 20.4402i −0.417724 0.787911i 0.581956 0.813221i \(-0.302288\pi\)
−0.999680 + 0.0253094i \(0.991943\pi\)
\(674\) −28.2139 16.9758i −1.08676 0.653882i
\(675\) 4.25390 2.55949i 0.163733 0.0985148i
\(676\) −10.1265 + 19.1007i −0.389482 + 0.734642i
\(677\) 0.0308850 0.0775154i 0.00118701 0.00297916i −0.928382 0.371627i \(-0.878800\pi\)
0.929569 + 0.368648i \(0.120179\pi\)
\(678\) 27.3959 + 6.03030i 1.05213 + 0.231592i
\(679\) −27.2002 5.98721i −1.04385 0.229768i
\(680\) −0.471475 + 1.18331i −0.0180802 + 0.0453780i
\(681\) −12.6399 + 23.8414i −0.484361 + 0.913603i
\(682\) 3.71959 2.23800i 0.142431 0.0856976i
\(683\) −1.25125 0.752854i −0.0478779 0.0288072i 0.491414 0.870926i \(-0.336480\pi\)
−0.539292 + 0.842119i \(0.681308\pi\)
\(684\) −7.20183 13.5841i −0.275369 0.519401i
\(685\) 1.24029 0.134890i 0.0473890 0.00515387i
\(686\) −30.0940 22.8769i −1.14900 0.873443i
\(687\) 9.22655 + 13.6081i 0.352015 + 0.519183i
\(688\) 0.195025 + 1.18960i 0.00743527 + 0.0453531i
\(689\) −3.91659 9.82990i −0.149210 0.374490i
\(690\) −1.82142 0.198091i −0.0693402 0.00754120i
\(691\) 25.0874 + 23.7641i 0.954370 + 0.904028i 0.995465 0.0951277i \(-0.0303259\pi\)
−0.0410948 + 0.999155i \(0.513085\pi\)
\(692\) −33.2778 + 39.1776i −1.26503 + 1.48931i
\(693\) −3.12085 1.44386i −0.118551 0.0548477i
\(694\) 24.4549 36.0683i 0.928295 1.36913i
\(695\) 1.48143 0.499152i 0.0561939 0.0189339i
\(696\) 2.61719 + 9.42627i 0.0992044 + 0.357302i
\(697\) 13.0762 + 15.3945i 0.495295 + 0.583107i
\(698\) −1.56147 + 28.7997i −0.0591027 + 1.09008i
\(699\) −8.70992 2.93472i −0.329440 0.111001i
\(700\) 34.5516 26.2654i 1.30593 0.992740i
\(701\) −6.03961 + 5.72103i −0.228113 + 0.216080i −0.793216 0.608940i \(-0.791595\pi\)
0.565103 + 0.825020i \(0.308836\pi\)
\(702\) 0.297655 + 5.48992i 0.0112343 + 0.207204i
\(703\) 15.4662 55.7043i 0.583320 2.10093i
\(704\) −14.3026 + 6.61708i −0.539049 + 0.249391i
\(705\) 0.0808597 0.493222i 0.00304535 0.0185758i
\(706\) −29.7196 + 6.54178i −1.11851 + 0.246203i
\(707\) −53.1682 −1.99960
\(708\) 18.3782 + 14.7899i 0.690695 + 0.555839i
\(709\) −34.8605 −1.30921 −0.654607 0.755970i \(-0.727166\pi\)
−0.654607 + 0.755970i \(0.727166\pi\)
\(710\) −1.39122 + 0.306231i −0.0522116 + 0.0114926i
\(711\) 1.22793 7.49003i 0.0460509 0.280898i
\(712\) 23.6600 10.9463i 0.886697 0.410230i
\(713\) −1.84452 + 6.64336i −0.0690778 + 0.248796i
\(714\) −0.973199 17.9496i −0.0364211 0.671747i
\(715\) 0.403190 0.381921i 0.0150784 0.0142831i
\(716\) −16.3786 + 12.4507i −0.612095 + 0.465303i
\(717\) 7.10548 + 2.39411i 0.265359 + 0.0894098i
\(718\) −0.330576 + 6.09711i −0.0123370 + 0.227542i
\(719\) −1.81076 2.13179i −0.0675301 0.0795025i 0.727360 0.686256i \(-0.240747\pi\)
−0.794890 + 0.606754i \(0.792471\pi\)
\(720\) −0.0357761 0.128854i −0.00133330 0.00480210i
\(721\) 25.4731 8.58288i 0.948668 0.319643i
\(722\) 7.66147 11.2998i 0.285130 0.420536i
\(723\) −4.54119 2.10098i −0.168889 0.0781363i
\(724\) 18.6776 21.9889i 0.694146 0.817212i
\(725\) −14.6170 13.8460i −0.542862 0.514226i
\(726\) −21.3591 2.32294i −0.792709 0.0862123i
\(727\) −2.60923 6.54867i −0.0967710 0.242877i 0.872620 0.488400i \(-0.162419\pi\)
−0.969391 + 0.245524i \(0.921040\pi\)
\(728\) 2.71218 + 16.5435i 0.100520 + 0.613145i
\(729\) −0.561187 0.827689i −0.0207847 0.0306551i
\(730\) −2.21202 1.68153i −0.0818704 0.0622363i
\(731\) 4.73215 0.514652i 0.175025 0.0190351i
\(732\) −13.8315 26.0889i −0.511226 0.964274i
\(733\) 6.20882 + 3.73573i 0.229328 + 0.137982i 0.625581 0.780159i \(-0.284862\pi\)
−0.396253 + 0.918141i \(0.629690\pi\)
\(734\) 33.7631 20.3146i 1.24622 0.749825i
\(735\) 0.0972731 0.183477i 0.00358797 0.00676764i
\(736\) 10.2732 25.7838i 0.378675 0.950403i
\(737\) 13.9292 + 3.06606i 0.513090 + 0.112940i
\(738\) 15.8409 + 3.48684i 0.583111 + 0.128352i
\(739\) −10.3285 + 25.9226i −0.379940 + 0.953577i 0.607320 + 0.794458i \(0.292245\pi\)
−0.987259 + 0.159119i \(0.949135\pi\)
\(740\) −3.12816 + 5.90034i −0.114993 + 0.216901i
\(741\) −10.4729 + 6.30136i −0.384733 + 0.231486i
\(742\) 23.8055 + 14.3233i 0.873929 + 0.525826i
\(743\) 22.3684 + 42.1914i 0.820618 + 1.54785i 0.836494 + 0.547977i \(0.184602\pi\)
−0.0158751 + 0.999874i \(0.505053\pi\)
\(744\) 3.82673 0.416182i 0.140295 0.0152580i
\(745\) 3.18440 + 2.42072i 0.116667 + 0.0886882i
\(746\) 25.1509 + 37.0949i 0.920842 + 1.35814i
\(747\) −1.07189 6.53827i −0.0392186 0.239223i
\(748\) 3.85089 + 9.66499i 0.140802 + 0.353387i
\(749\) −20.0773 2.18353i −0.733607 0.0797846i
\(750\) −3.06762 2.90580i −0.112014 0.106105i
\(751\) −12.4983 + 14.7141i −0.456069 + 0.536926i −0.941350 0.337432i \(-0.890442\pi\)
0.485280 + 0.874359i \(0.338717\pi\)
\(752\) 1.71079 + 0.791496i 0.0623861 + 0.0288629i
\(753\) 4.83888 7.13681i 0.176338 0.260080i
\(754\) 21.1299 7.11950i 0.769506 0.259277i
\(755\) −0.775275 2.79229i −0.0282151 0.101622i
\(756\) −5.65964 6.66304i −0.205839 0.242332i
\(757\) 0.832112 15.3474i 0.0302436 0.557811i −0.943669 0.330890i \(-0.892651\pi\)
0.973913 0.226921i \(-0.0728660\pi\)
\(758\) −30.5058 10.2786i −1.10802 0.373336i
\(759\) −4.15516 + 3.15867i −0.150823 + 0.114653i
\(760\) −1.65090 + 1.56382i −0.0598846 + 0.0567257i
\(761\) −1.82847 33.7241i −0.0662819 1.22250i −0.822726 0.568439i \(-0.807548\pi\)
0.756444 0.654059i \(-0.226935\pi\)
\(762\) −13.3913 + 48.2309i −0.485114 + 1.74722i
\(763\) −36.0428 + 16.6752i −1.30484 + 0.603682i
\(764\) 1.83510 11.1936i 0.0663917 0.404971i
\(765\) −0.515703 + 0.113515i −0.0186453 + 0.00410414i
\(766\) −17.7664 −0.641925
\(767\) 10.9491 15.2249i 0.395349 0.549740i
\(768\) −11.1335 −0.401744
\(769\) 30.1110 6.62792i 1.08583 0.239009i 0.364222 0.931312i \(-0.381335\pi\)
0.721607 + 0.692303i \(0.243404\pi\)
\(770\) −0.235901 + 1.43894i −0.00850130 + 0.0518556i
\(771\) 16.7309 7.74056i 0.602550 0.278769i
\(772\) 12.9166 46.5214i 0.464879 1.67434i
\(773\) 2.21454 + 40.8448i 0.0796515 + 1.46909i 0.716225 + 0.697869i \(0.245868\pi\)
−0.636574 + 0.771216i \(0.719649\pi\)
\(774\) 2.77512 2.62873i 0.0997497 0.0944879i
\(775\) −6.30672 + 4.79424i −0.226544 + 0.172214i
\(776\) 22.3665 + 7.53614i 0.802909 + 0.270532i
\(777\) 1.77963 32.8234i 0.0638440 1.17753i
\(778\) −4.17228 4.91199i −0.149584 0.176103i
\(779\) 9.64673 + 34.7444i 0.345630 + 1.24485i
\(780\) 1.33801 0.450828i 0.0479085 0.0161422i
\(781\) −2.27740 + 3.35891i −0.0814918 + 0.120191i
\(782\) −24.7633 11.4567i −0.885535 0.409692i
\(783\) −2.62548 + 3.09095i −0.0938269 + 0.110462i
\(784\) 0.568610 + 0.538616i 0.0203075 + 0.0192363i
\(785\) −2.01504 0.219149i −0.0719200 0.00782177i
\(786\) 13.9131 + 34.9193i 0.496265 + 1.24553i
\(787\) 0.842525 + 5.13918i 0.0300328 + 0.183192i 0.997583 0.0694876i \(-0.0221364\pi\)
−0.967550 + 0.252680i \(0.918688\pi\)
\(788\) 42.2028 + 62.2445i 1.50341 + 2.21737i
\(789\) 6.40159 + 4.86636i 0.227903 + 0.173247i
\(790\) −3.19963 + 0.347981i −0.113838 + 0.0123806i
\(791\) 16.6092 + 31.3283i 0.590555 + 1.11390i
\(792\) 2.49690 + 1.50233i 0.0887234 + 0.0533831i
\(793\) −20.1138 + 12.1021i −0.714262 + 0.429757i
\(794\) −27.7440 + 52.3307i −0.984597 + 1.85715i
\(795\) 0.302075 0.758152i 0.0107135 0.0268889i
\(796\) 55.2265 + 12.1563i 1.95745 + 0.430867i
\(797\) −7.16238 1.57656i −0.253705 0.0558446i 0.0862970 0.996269i \(-0.472497\pi\)
−0.340002 + 0.940425i \(0.610428\pi\)
\(798\) 11.8782 29.8119i 0.420482 1.05533i
\(799\) 3.48650 6.57624i 0.123344 0.232651i
\(800\) 27.3260 16.4415i 0.966121 0.581296i
\(801\) 9.26020 + 5.57168i 0.327193 + 0.196866i
\(802\) 33.8127 + 63.7775i 1.19397 + 2.25206i
\(803\) −7.86924 + 0.855831i −0.277699 + 0.0302016i
\(804\) 28.8669 + 21.9441i 1.01806 + 0.773908i
\(805\) −1.29967 1.91688i −0.0458075 0.0675610i
\(806\) −1.41936 8.65774i −0.0499950 0.304956i
\(807\) 10.2295 + 25.6742i 0.360097 + 0.903775i
\(808\) 44.7920 + 4.87143i 1.57578 + 0.171376i
\(809\) −3.37192 3.19406i −0.118551 0.112297i 0.626128 0.779720i \(-0.284639\pi\)
−0.744679 + 0.667423i \(0.767397\pi\)
\(810\) −0.274520 + 0.323190i −0.00964565 + 0.0113557i
\(811\) 2.30696 + 1.06731i 0.0810083 + 0.0374784i 0.459975 0.887932i \(-0.347858\pi\)
−0.378967 + 0.925410i \(0.623720\pi\)
\(812\) −19.8965 + 29.3452i −0.698232 + 1.02982i
\(813\) −4.22817 + 1.42464i −0.148288 + 0.0499642i
\(814\) 8.40424 + 30.2694i 0.294569 + 1.06094i
\(815\) 0.993039 + 1.16910i 0.0347846 + 0.0409517i
\(816\) 0.107819 1.98861i 0.00377442 0.0696152i
\(817\) 8.05294 + 2.71335i 0.281737 + 0.0949282i
\(818\) 8.99538 6.83811i 0.314516 0.239089i
\(819\) −5.04546 + 4.77932i −0.176303 + 0.167003i
\(820\) −0.225512 4.15932i −0.00787522 0.145250i
\(821\) −10.1641 + 36.6079i −0.354730 + 1.27762i 0.543987 + 0.839094i \(0.316914\pi\)
−0.898717 + 0.438529i \(0.855500\pi\)
\(822\) 13.5412 6.26485i 0.472305 0.218512i
\(823\) 4.92898 30.0654i 0.171813 1.04802i −0.750301 0.661097i \(-0.770091\pi\)
0.922114 0.386918i \(-0.126460\pi\)
\(824\) −22.2464 + 4.89681i −0.774991 + 0.170588i
\(825\) −5.99723 −0.208797
\(826\) 1.30555 + 49.2206i 0.0454259 + 1.71260i
\(827\) −47.8990 −1.66561 −0.832806 0.553565i \(-0.813267\pi\)
−0.832806 + 0.553565i \(0.813267\pi\)
\(828\) −12.9594 + 2.85258i −0.450371 + 0.0991341i
\(829\) 1.49224 9.10227i 0.0518277 0.316135i −0.948171 0.317761i \(-0.897069\pi\)
0.999999 + 0.00162556i \(0.000517433\pi\)
\(830\) −2.54985 + 1.17969i −0.0885067 + 0.0409475i
\(831\) 6.82560 24.5836i 0.236777 0.852795i
\(832\) 1.72432 + 31.8032i 0.0597801 + 1.10258i
\(833\) 2.24525 2.12682i 0.0777934 0.0736899i
\(834\) 14.8832 11.3139i 0.515362 0.391768i
\(835\) −3.54303 1.19379i −0.122612 0.0413126i
\(836\) −1.00554 + 18.5461i −0.0347773 + 0.641430i
\(837\) 1.03306 + 1.21621i 0.0357077 + 0.0420383i
\(838\) 5.62580 + 20.2623i 0.194340 + 0.699949i
\(839\) 42.2381 14.2317i 1.45822 0.491332i 0.525147 0.851012i \(-0.324011\pi\)
0.933076 + 0.359679i \(0.117114\pi\)
\(840\) −0.725609 + 1.07019i −0.0250359 + 0.0369252i
\(841\) −11.3927 5.27082i −0.392851 0.181752i
\(842\) 12.5990 14.8327i 0.434190 0.511169i
\(843\) −13.8303 13.1008i −0.476342 0.451216i
\(844\) −46.6845 5.07725i −1.60695 0.174766i
\(845\) 0.490624 + 1.23137i 0.0168780 + 0.0423606i
\(846\) −0.967011 5.89851i −0.0332465 0.202795i
\(847\) −15.2408 22.4784i −0.523679 0.772369i
\(848\) 2.45035 + 1.86270i 0.0841452 + 0.0639655i
\(849\) −8.68882 + 0.944966i −0.298200 + 0.0324312i
\(850\) −14.6851 27.6991i −0.503696 0.950071i
\(851\) −42.7527 25.7235i −1.46554 0.881789i
\(852\) −8.84046 + 5.31913i −0.302869 + 0.182230i
\(853\) 22.8340 43.0695i 0.781821 1.47467i −0.0958443 0.995396i \(-0.530555\pi\)
0.877665 0.479274i \(-0.159100\pi\)
\(854\) 22.8126 57.2553i 0.780631 1.95924i
\(855\) −0.920647 0.202650i −0.0314855 0.00693048i
\(856\) 16.7142 + 3.67908i 0.571280 + 0.125748i
\(857\) −7.61739 + 19.1182i −0.260205 + 0.653066i −0.999800 0.0199865i \(-0.993638\pi\)
0.739595 + 0.673052i \(0.235017\pi\)
\(858\) 3.11100 5.86796i 0.106208 0.200329i
\(859\) 21.5050 12.9391i 0.733740 0.441477i −0.0990381 0.995084i \(-0.531577\pi\)
0.832778 + 0.553607i \(0.186749\pi\)
\(860\) −0.841131 0.506092i −0.0286823 0.0172576i
\(861\) 9.60377 + 18.1146i 0.327296 + 0.617345i
\(862\) 22.3409 2.42971i 0.760933 0.0827564i
\(863\) −23.2570 17.6795i −0.791676 0.601817i 0.129224 0.991615i \(-0.458751\pi\)
−0.920900 + 0.389799i \(0.872545\pi\)
\(864\) −3.60493 5.31687i −0.122642 0.180884i
\(865\) 0.509882 + 3.11015i 0.0173365 + 0.105748i
\(866\) −1.35621 3.40382i −0.0460858 0.115667i
\(867\) 9.08255 + 0.987787i 0.308460 + 0.0335470i
\(868\) 10.1279 + 9.59366i 0.343764 + 0.325630i
\(869\) −5.93578 + 6.98814i −0.201358 + 0.237056i
\(870\) 1.56077 + 0.722088i 0.0529149 + 0.0244811i
\(871\) 16.1766 23.8586i 0.548122 0.808419i
\(872\) 31.8924 10.7458i 1.08001 0.363899i
\(873\) 2.61756 + 9.42760i 0.0885910 + 0.319076i
\(874\) −31.5343 37.1250i −1.06666 1.25577i
\(875\) 0.289162 5.33328i 0.00977545 0.180298i
\(876\) −19.0709 6.42572i −0.644345 0.217105i
\(877\) 33.4438 25.4233i 1.12932 0.858483i 0.138058 0.990424i \(-0.455914\pi\)
0.991258 + 0.131941i \(0.0421209\pi\)
\(878\) 14.5765 13.8076i 0.491934 0.465984i
\(879\) −0.704269 12.9895i −0.0237544 0.438124i
\(880\) −0.0432180 + 0.155657i −0.00145688 + 0.00524720i
\(881\) 26.8469 12.4207i 0.904495 0.418464i 0.0882025 0.996103i \(-0.471888\pi\)
0.816293 + 0.577639i \(0.196026\pi\)
\(882\) 0.401789 2.45080i 0.0135289 0.0825228i
\(883\) 15.3273 3.37379i 0.515805 0.113537i 0.0505630 0.998721i \(-0.483898\pi\)
0.465242 + 0.885184i \(0.345967\pi\)
\(884\) 21.0268 0.707208
\(885\) 1.42062 0.271761i 0.0477535 0.00913515i
\(886\) 45.4196 1.52590
\(887\) −24.4061 + 5.37218i −0.819475 + 0.180380i −0.604874 0.796322i \(-0.706776\pi\)
−0.214602 + 0.976702i \(0.568845\pi\)
\(888\) −4.50665 + 27.4893i −0.151233 + 0.922481i
\(889\) −57.4246 + 26.5674i −1.92596 + 0.891044i
\(890\) 1.22600 4.41567i 0.0410958 0.148014i
\(891\) 0.0654005 + 1.20624i 0.00219100 + 0.0404106i
\(892\) −32.0104 + 30.3219i −1.07179 + 1.01525i
\(893\) 10.5785 8.04153i 0.353995 0.269100i
\(894\) 45.3328 + 15.2744i 1.51615 + 0.510852i
\(895\) −0.0682920 + 1.25957i −0.00228275 + 0.0421029i
\(896\) −30.4618 35.8624i −1.01766 1.19808i
\(897\) 2.82209 + 10.1643i 0.0942269 + 0.339375i
\(898\) −62.6681 + 21.1154i −2.09126 + 0.704628i
\(899\) 3.63173 5.35640i 0.121125 0.178646i
\(900\) −13.8378 6.40207i −0.461261 0.213402i
\(901\) 7.86825 9.26322i 0.262129 0.308603i
\(902\) −14.2252 13.4748i −0.473648 0.448663i
\(903\) 4.80351 + 0.522413i 0.159851 + 0.0173848i
\(904\) −11.1222 27.9146i −0.369918 0.928424i
\(905\) −0.286178 1.74561i −0.00951287 0.0580259i
\(906\) −19.4488 28.6848i −0.646143 0.952990i
\(907\) 26.3410 + 20.0239i 0.874639 + 0.664883i 0.943005 0.332777i \(-0.107986\pi\)
−0.0683669 + 0.997660i \(0.521779\pi\)
\(908\) 82.3894 8.96039i 2.73419 0.297361i
\(909\) 8.74899 + 16.5023i 0.290186 + 0.547348i
\(910\) 2.52514 + 1.51933i 0.0837076 + 0.0503652i
\(911\) −19.9535 + 12.0056i −0.661089 + 0.397764i −0.806193 0.591652i \(-0.798476\pi\)
0.145104 + 0.989416i \(0.453648\pi\)
\(912\) 1.66535 3.14117i 0.0551451 0.104015i
\(913\) −2.96249 + 7.43530i −0.0980442 + 0.246072i
\(914\) −38.6059 8.49780i −1.27697 0.281082i
\(915\) −1.76815 0.389199i −0.0584531 0.0128665i
\(916\) 18.6897 46.9076i 0.617525 1.54987i
\(917\) −22.2561 + 41.9795i −0.734962 + 1.38629i
\(918\) −5.41106 + 3.25572i −0.178591 + 0.107455i
\(919\) 26.2080 + 15.7688i 0.864521 + 0.520165i 0.877404 0.479752i \(-0.159273\pi\)
−0.0128829 + 0.999917i \(0.504101\pi\)
\(920\) 0.919292 + 1.73397i 0.0303082 + 0.0571673i
\(921\) 1.41937 0.154366i 0.0467699 0.00508653i
\(922\) −70.2871 53.4308i −2.31478 1.75965i
\(923\) 4.60274 + 6.78853i 0.151501 + 0.223447i
\(924\) 1.70855 + 10.4217i 0.0562071 + 0.342848i
\(925\) −21.2200 53.2582i −0.697710 1.75112i
\(926\) −65.3433 7.10651i −2.14731 0.233534i
\(927\) −6.85563 6.49400i −0.225169 0.213291i
\(928\) −16.8654 + 19.8555i −0.553635 + 0.651789i
\(929\) −2.42406 1.12149i −0.0795309 0.0367949i 0.379720 0.925101i \(-0.376020\pi\)
−0.459251 + 0.888306i \(0.651882\pi\)
\(930\) 0.379733 0.560065i 0.0124519 0.0183652i
\(931\) 5.23208 1.76289i 0.171474 0.0577765i
\(932\) 7.55164 + 27.1985i 0.247362 + 0.890918i
\(933\) −5.07278 5.97213i −0.166075 0.195519i
\(934\) −2.22169 + 40.9767i −0.0726959 + 1.34080i
\(935\) 0.604498 + 0.203679i 0.0197692 + 0.00666102i
\(936\) 4.68849 3.56410i 0.153248 0.116496i
\(937\) 26.3385 24.9492i 0.860442 0.815054i −0.123722 0.992317i \(-0.539483\pi\)
0.984163 + 0.177263i \(0.0567244\pi\)
\(938\) 4.09745 + 75.5729i 0.133786 + 2.46754i
\(939\) −0.999475 + 3.59978i −0.0326166 + 0.117474i
\(940\) −1.39313 + 0.644530i −0.0454388 + 0.0210222i
\(941\) 0.456751 2.78606i 0.0148897 0.0908229i −0.978336 0.207022i \(-0.933623\pi\)
0.993226 + 0.116199i \(0.0370711\pi\)
\(942\) −23.6735 + 5.21094i −0.771326 + 0.169782i
\(943\) 31.1208 1.01343
\(944\) −0.445788 + 5.43674i −0.0145092 + 0.176951i
\(945\) −0.536011 −0.0174365
\(946\) −4.50968 + 0.992655i −0.146622 + 0.0322740i
\(947\) −7.71239 + 47.0435i −0.250619 + 1.52871i 0.498861 + 0.866682i \(0.333752\pi\)
−0.749480 + 0.662027i \(0.769697\pi\)
\(948\) −21.1559 + 9.78777i −0.687113 + 0.317892i
\(949\) −4.27989 + 15.4148i −0.138931 + 0.500385i
\(950\) −3.03009 55.8867i −0.0983091 1.81320i
\(951\) 6.74605 6.39019i 0.218756 0.207216i
\(952\) −15.3293 + 11.6530i −0.496825 + 0.377677i
\(953\) 19.8810 + 6.69868i 0.644008 + 0.216992i 0.622307 0.782773i \(-0.286195\pi\)
0.0217007 + 0.999765i \(0.493092\pi\)
\(954\) 0.528397 9.74571i 0.0171075 0.315529i
\(955\) −0.450238 0.530061i −0.0145694 0.0171524i
\(956\) −6.16056 22.1883i −0.199247 0.717622i
\(957\) 4.64265 1.56429i 0.150076 0.0505663i
\(958\) −13.9040 + 20.5069i −0.449218 + 0.662547i
\(959\) 17.1168 + 7.91907i 0.552730 + 0.255720i
\(960\) −1.59030 + 1.87225i −0.0513267 + 0.0604265i
\(961\) 20.6572 + 19.5675i 0.666362 + 0.631211i
\(962\) 63.1179 + 6.86448i 2.03500 + 0.221320i
\(963\) 2.62605 + 6.59089i 0.0846233 + 0.212388i
\(964\) 2.48613 + 15.1647i 0.0800729 + 0.488423i
\(965\) −1.66125 2.45016i −0.0534776 0.0788736i
\(966\) −22.0491 16.7613i −0.709417 0.539285i
\(967\) −5.95528 + 0.647676i −0.191509 + 0.0208279i −0.203371 0.979102i \(-0.565190\pi\)
0.0118618 + 0.999930i \(0.496224\pi\)
\(968\) 10.7802 + 20.3336i 0.346488 + 0.653546i
\(969\) −12.0293 7.23777i −0.386436 0.232511i
\(970\) 3.55505 2.13900i 0.114146 0.0686792i
\(971\) 29.0691 54.8301i 0.932871 1.75958i 0.385433 0.922736i \(-0.374052\pi\)
0.547439 0.836846i \(-0.315603\pi\)
\(972\) −1.13676 + 2.85306i −0.0364617 + 0.0915120i
\(973\) 23.0792 + 5.08012i 0.739886 + 0.162861i
\(974\) −11.9481 2.62997i −0.382841 0.0842697i
\(975\) −4.48633 + 11.2598i −0.143678 + 0.360604i
\(976\) 3.19838 6.03278i 0.102378 0.193104i
\(977\) −45.0485 + 27.1048i −1.44123 + 0.867160i −0.999550 0.0300123i \(-0.990445\pi\)
−0.441681 + 0.897172i \(0.645618\pi\)
\(978\) 15.7185 + 9.45750i 0.502622 + 0.302418i
\(979\) −6.11516 11.5344i −0.195442 0.368642i
\(980\) −0.634047 + 0.0689567i −0.0202539 + 0.00220274i
\(981\) 11.1066 + 8.44302i 0.354606 + 0.269565i
\(982\) −26.7375 39.4349i −0.853228 1.25842i
\(983\) −3.64053 22.2063i −0.116115 0.708270i −0.979152 0.203129i \(-0.934889\pi\)
0.863037 0.505141i \(-0.168559\pi\)
\(984\) −6.43107 16.1408i −0.205015 0.514549i
\(985\) 4.58384 + 0.498522i 0.146053 + 0.0158842i
\(986\) 18.5931 + 17.6123i 0.592126 + 0.560891i
\(987\) 4.89135 5.75854i 0.155693 0.183296i
\(988\) 34.0682 + 15.7616i 1.08385 + 0.501445i
\(989\) 4.11579 6.07034i 0.130875 0.193026i
\(990\) 0.485435 0.163562i 0.0154281 0.00519835i
\(991\) 14.5538 + 52.4182i 0.462318 + 1.66512i 0.716209 + 0.697886i \(0.245876\pi\)
−0.253891 + 0.967233i \(0.581711\pi\)
\(992\) 6.63610 + 7.81262i 0.210696 + 0.248051i
\(993\) −0.122486 + 2.25912i −0.00388697 + 0.0716910i
\(994\) −20.4072 6.87598i −0.647277 0.218093i
\(995\) 2.76016 2.09822i 0.0875029 0.0665180i
\(996\) −14.7728 + 13.9935i −0.468094 + 0.443402i
\(997\) 2.12470 + 39.1879i 0.0672901 + 1.24109i 0.815944 + 0.578131i \(0.196218\pi\)
−0.748654 + 0.662961i \(0.769299\pi\)
\(998\) 16.5398 59.5709i 0.523558 1.88569i
\(999\) −10.4806 + 4.84883i −0.331591 + 0.153410i
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 177.2.e.a.166.1 yes 140
3.2 odd 2 531.2.i.c.343.5 140
59.16 even 29 inner 177.2.e.a.16.1 140
177.134 odd 58 531.2.i.c.370.5 140
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
177.2.e.a.16.1 140 59.16 even 29 inner
177.2.e.a.166.1 yes 140 1.1 even 1 trivial
531.2.i.c.343.5 140 3.2 odd 2
531.2.i.c.370.5 140 177.134 odd 58