Properties

Label 384.2.v.a.229.27
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.27
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19522 + 0.755950i) q^{2} +(0.881921 - 0.471397i) q^{3} +(0.857080 + 1.80705i) q^{4} +(0.324989 + 0.396000i) q^{5} +(1.41044 + 0.103268i) q^{6} +(-2.62499 + 1.75396i) q^{7} +(-0.341641 + 2.80772i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(1.19522 + 0.755950i) q^{2} +(0.881921 - 0.471397i) q^{3} +(0.857080 + 1.80705i) q^{4} +(0.324989 + 0.396000i) q^{5} +(1.41044 + 0.103268i) q^{6} +(-2.62499 + 1.75396i) q^{7} +(-0.341641 + 2.80772i) q^{8} +(0.555570 - 0.831470i) q^{9} +(0.0890756 + 0.718981i) q^{10} +(2.66741 - 0.809151i) q^{11} +(1.60771 + 1.18965i) q^{12} +(3.50927 + 2.87998i) q^{13} +(-4.46333 + 0.112002i) q^{14} +(0.473288 + 0.196042i) q^{15} +(-2.53083 + 3.09756i) q^{16} +(-1.24239 + 0.514614i) q^{17} +(1.29258 - 0.573802i) q^{18} +(-0.508900 - 5.16694i) q^{19} +(-0.437049 + 0.926674i) q^{20} +(-1.48822 + 2.78427i) q^{21} +(3.79981 + 1.04932i) q^{22} +(0.610074 - 0.121351i) q^{23} +(1.02225 + 2.63723i) q^{24} +(0.924253 - 4.64653i) q^{25} +(2.01721 + 6.09502i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(-5.41931 - 3.24019i) q^{28} +(1.53679 - 5.06611i) q^{29} +(0.417483 + 0.592095i) q^{30} +(-4.71383 - 4.71383i) q^{31} +(-5.36649 + 1.78908i) q^{32} +(1.97102 - 1.97102i) q^{33} +(-1.87394 - 0.324108i) q^{34} +(-1.54766 - 0.469478i) q^{35} +(1.97867 + 0.291305i) q^{36} +(-0.337930 - 0.0332832i) q^{37} +(3.29771 - 6.56031i) q^{38} +(4.45251 + 0.885659i) q^{39} +(-1.22289 + 0.777188i) q^{40} +(-0.532960 - 2.67937i) q^{41} +(-3.88351 + 2.20278i) q^{42} +(-4.98592 - 2.66503i) q^{43} +(3.74836 + 4.12663i) q^{44} +(0.509817 - 0.0502126i) q^{45} +(0.820906 + 0.316144i) q^{46} +(2.42698 + 5.85925i) q^{47} +(-0.771809 + 3.92483i) q^{48} +(1.13540 - 2.74110i) q^{49} +(4.61723 - 4.85492i) q^{50} +(-0.853101 + 1.03951i) q^{51} +(-2.19653 + 8.80978i) q^{52} +(3.19382 + 10.5286i) q^{53} +(0.869461 - 1.11536i) q^{54} +(1.18730 + 0.793332i) q^{55} +(-4.02783 - 7.96945i) q^{56} +(-2.88449 - 4.31694i) q^{57} +(5.66652 - 4.89336i) q^{58} +(-10.5526 + 8.66027i) q^{59} +(0.0513882 + 1.02328i) q^{60} +(-1.48249 - 2.77355i) q^{61} +(-2.07062 - 9.19746i) q^{62} +3.15705i q^{63} +(-7.76656 - 1.91846i) q^{64} +2.32563i q^{65} +(3.84578 - 0.865800i) q^{66} +(-5.88175 - 11.0040i) q^{67} +(-1.99476 - 1.80399i) q^{68} +(0.480833 - 0.394609i) q^{69} +(-1.49489 - 1.73108i) q^{70} +(-4.98217 - 7.45634i) q^{71} +(2.14473 + 1.84395i) q^{72} +(6.36198 + 4.25094i) q^{73} +(-0.378739 - 0.295239i) q^{74} +(-1.37524 - 4.53357i) q^{75} +(8.90074 - 5.34809i) q^{76} +(-5.58271 + 6.80255i) q^{77} +(4.65219 + 4.42443i) q^{78} +(3.81862 - 9.21898i) q^{79} +(-2.04913 + 0.00446587i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(1.38847 - 3.60532i) q^{82} +(12.4261 - 1.22386i) q^{83} +(-6.30682 - 0.302946i) q^{84} +(-0.607550 - 0.324742i) q^{85} +(-3.94462 - 6.95439i) q^{86} +(-1.03282 - 5.19235i) q^{87} +(1.36057 + 7.76578i) q^{88} +(12.3634 + 2.45923i) q^{89} +(0.647299 + 0.325381i) q^{90} +(-14.2632 - 1.40480i) q^{91} +(0.742170 + 0.998424i) q^{92} +(-6.37931 - 1.93514i) q^{93} +(-1.52853 + 8.83774i) q^{94} +(1.88073 - 1.88073i) q^{95} +(-3.88945 + 4.10757i) q^{96} +(-4.31715 - 4.31715i) q^{97} +(3.42919 - 2.41790i) q^{98} +(0.809151 - 2.66741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19522 + 0.755950i 0.845145 + 0.534537i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) 0.857080 + 1.80705i 0.428540 + 0.903523i
\(5\) 0.324989 + 0.396000i 0.145340 + 0.177097i 0.840592 0.541669i \(-0.182207\pi\)
−0.695252 + 0.718766i \(0.744707\pi\)
\(6\) 1.41044 + 0.103268i 0.575809 + 0.0421588i
\(7\) −2.62499 + 1.75396i −0.992153 + 0.662935i −0.941932 0.335803i \(-0.890992\pi\)
−0.0502204 + 0.998738i \(0.515992\pi\)
\(8\) −0.341641 + 2.80772i −0.120788 + 0.992678i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 0.0890756 + 0.718981i 0.0281682 + 0.227362i
\(11\) 2.66741 0.809151i 0.804255 0.243968i 0.138717 0.990332i \(-0.455702\pi\)
0.665538 + 0.746364i \(0.268202\pi\)
\(12\) 1.60771 + 1.18965i 0.464107 + 0.343422i
\(13\) 3.50927 + 2.87998i 0.973295 + 0.798763i 0.979547 0.201218i \(-0.0644899\pi\)
−0.00625145 + 0.999980i \(0.501990\pi\)
\(14\) −4.46333 + 0.112002i −1.19288 + 0.0299338i
\(15\) 0.473288 + 0.196042i 0.122202 + 0.0506179i
\(16\) −2.53083 + 3.09756i −0.632707 + 0.774391i
\(17\) −1.24239 + 0.514614i −0.301323 + 0.124812i −0.528222 0.849106i \(-0.677141\pi\)
0.226899 + 0.973918i \(0.427141\pi\)
\(18\) 1.29258 0.573802i 0.304663 0.135246i
\(19\) −0.508900 5.16694i −0.116750 1.18538i −0.857820 0.513951i \(-0.828181\pi\)
0.741070 0.671428i \(-0.234319\pi\)
\(20\) −0.437049 + 0.926674i −0.0977272 + 0.207211i
\(21\) −1.48822 + 2.78427i −0.324757 + 0.607577i
\(22\) 3.79981 + 1.04932i 0.810122 + 0.223716i
\(23\) 0.610074 0.121351i 0.127209 0.0253035i −0.131075 0.991372i \(-0.541843\pi\)
0.258284 + 0.966069i \(0.416843\pi\)
\(24\) 1.02225 + 2.63723i 0.208666 + 0.538323i
\(25\) 0.924253 4.64653i 0.184851 0.929307i
\(26\) 2.01721 + 6.09502i 0.395607 + 1.19533i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) −5.41931 3.24019i −1.02415 0.612338i
\(29\) 1.53679 5.06611i 0.285374 0.940753i −0.690668 0.723172i \(-0.742683\pi\)
0.976042 0.217581i \(-0.0698166\pi\)
\(30\) 0.417483 + 0.592095i 0.0762216 + 0.108101i
\(31\) −4.71383 4.71383i −0.846629 0.846629i 0.143082 0.989711i \(-0.454299\pi\)
−0.989711 + 0.143082i \(0.954299\pi\)
\(32\) −5.36649 + 1.78908i −0.948670 + 0.316267i
\(33\) 1.97102 1.97102i 0.343110 0.343110i
\(34\) −1.87394 0.324108i −0.321378 0.0555841i
\(35\) −1.54766 0.469478i −0.261603 0.0793563i
\(36\) 1.97867 + 0.291305i 0.329779 + 0.0485508i
\(37\) −0.337930 0.0332832i −0.0555553 0.00547172i 0.0702013 0.997533i \(-0.477636\pi\)
−0.125757 + 0.992061i \(0.540136\pi\)
\(38\) 3.29771 6.56031i 0.534958 1.06422i
\(39\) 4.45251 + 0.885659i 0.712972 + 0.141819i
\(40\) −1.22289 + 0.777188i −0.193355 + 0.122884i
\(41\) −0.532960 2.67937i −0.0832344 0.418447i −0.999827 0.0186240i \(-0.994071\pi\)
0.916592 0.399823i \(-0.130929\pi\)
\(42\) −3.88351 + 2.20278i −0.599239 + 0.339896i
\(43\) −4.98592 2.66503i −0.760346 0.406413i 0.0451764 0.998979i \(-0.485615\pi\)
−0.805522 + 0.592566i \(0.798115\pi\)
\(44\) 3.74836 + 4.12663i 0.565086 + 0.622113i
\(45\) 0.509817 0.0502126i 0.0759990 0.00748525i
\(46\) 0.820906 + 0.316144i 0.121036 + 0.0466130i
\(47\) 2.42698 + 5.85925i 0.354012 + 0.854660i 0.996117 + 0.0880431i \(0.0280613\pi\)
−0.642105 + 0.766617i \(0.721939\pi\)
\(48\) −0.771809 + 3.92483i −0.111401 + 0.566501i
\(49\) 1.13540 2.74110i 0.162200 0.391586i
\(50\) 4.61723 4.85492i 0.652975 0.686589i
\(51\) −0.853101 + 1.03951i −0.119458 + 0.145560i
\(52\) −2.19653 + 8.80978i −0.304604 + 1.22170i
\(53\) 3.19382 + 10.5286i 0.438706 + 1.44622i 0.846129 + 0.532979i \(0.178927\pi\)
−0.407423 + 0.913240i \(0.633573\pi\)
\(54\) 0.869461 1.11536i 0.118319 0.151782i
\(55\) 1.18730 + 0.793332i 0.160096 + 0.106973i
\(56\) −4.02783 7.96945i −0.538241 1.06496i
\(57\) −2.88449 4.31694i −0.382060 0.571793i
\(58\) 5.66652 4.89336i 0.744050 0.642530i
\(59\) −10.5526 + 8.66027i −1.37383 + 1.12747i −0.395956 + 0.918270i \(0.629587\pi\)
−0.977872 + 0.209202i \(0.932913\pi\)
\(60\) 0.0513882 + 1.02328i 0.00663419 + 0.132105i
\(61\) −1.48249 2.77355i −0.189814 0.355117i 0.768955 0.639302i \(-0.220777\pi\)
−0.958769 + 0.284186i \(0.908277\pi\)
\(62\) −2.07062 9.19746i −0.262969 1.16808i
\(63\) 3.15705i 0.397751i
\(64\) −7.76656 1.91846i −0.970820 0.239808i
\(65\) 2.32563i 0.288459i
\(66\) 3.84578 0.865800i 0.473383 0.106573i
\(67\) −5.88175 11.0040i −0.718571 1.34435i −0.930219 0.367005i \(-0.880383\pi\)
0.211648 0.977346i \(-0.432117\pi\)
\(68\) −1.99476 1.80399i −0.241900 0.218765i
\(69\) 0.480833 0.394609i 0.0578855 0.0475054i
\(70\) −1.49489 1.73108i −0.178673 0.206904i
\(71\) −4.98217 7.45634i −0.591275 0.884905i 0.408335 0.912832i \(-0.366109\pi\)
−0.999610 + 0.0279270i \(0.991109\pi\)
\(72\) 2.14473 + 1.84395i 0.252758 + 0.217311i
\(73\) 6.36198 + 4.25094i 0.744614 + 0.497535i 0.869069 0.494690i \(-0.164718\pi\)
−0.124456 + 0.992225i \(0.539718\pi\)
\(74\) −0.378739 0.295239i −0.0440275 0.0343208i
\(75\) −1.37524 4.53357i −0.158799 0.523491i
\(76\) 8.90074 5.34809i 1.02098 0.613468i
\(77\) −5.58271 + 6.80255i −0.636209 + 0.775223i
\(78\) 4.65219 + 4.42443i 0.526757 + 0.500968i
\(79\) 3.81862 9.21898i 0.429629 1.03722i −0.549777 0.835312i \(-0.685287\pi\)
0.979405 0.201904i \(-0.0647129\pi\)
\(80\) −2.04913 + 0.00446587i −0.229100 + 0.000499299i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 1.38847 3.60532i 0.153331 0.398141i
\(83\) 12.4261 1.22386i 1.36394 0.134337i 0.610586 0.791950i \(-0.290934\pi\)
0.753356 + 0.657613i \(0.228434\pi\)
\(84\) −6.30682 0.302946i −0.688131 0.0330541i
\(85\) −0.607550 0.324742i −0.0658980 0.0352232i
\(86\) −3.94462 6.95439i −0.425359 0.749911i
\(87\) −1.03282 5.19235i −0.110730 0.556678i
\(88\) 1.36057 + 7.76578i 0.145037 + 0.827835i
\(89\) 12.3634 + 2.45923i 1.31051 + 0.260678i 0.800419 0.599440i \(-0.204610\pi\)
0.510095 + 0.860118i \(0.329610\pi\)
\(90\) 0.647299 + 0.325381i 0.0682313 + 0.0342982i
\(91\) −14.2632 1.40480i −1.49519 0.147263i
\(92\) 0.742170 + 0.998424i 0.0773765 + 0.104093i
\(93\) −6.37931 1.93514i −0.661504 0.200665i
\(94\) −1.52853 + 8.83774i −0.157656 + 0.911544i
\(95\) 1.88073 1.88073i 0.192958 0.192958i
\(96\) −3.88945 + 4.10757i −0.396966 + 0.419227i
\(97\) −4.31715 4.31715i −0.438340 0.438340i 0.453113 0.891453i \(-0.350313\pi\)
−0.891453 + 0.453113i \(0.850313\pi\)
\(98\) 3.42919 2.41790i 0.346400 0.244245i
\(99\) 0.809151 2.66741i 0.0813227 0.268085i
\(100\) 9.18866 2.31228i 0.918866 0.231228i
\(101\) −0.514166 + 5.22042i −0.0511615 + 0.519451i 0.935114 + 0.354346i \(0.115296\pi\)
−0.986276 + 0.165105i \(0.947204\pi\)
\(102\) −1.80545 + 0.597532i −0.178767 + 0.0591645i
\(103\) −0.878928 + 4.41867i −0.0866033 + 0.435384i 0.913019 + 0.407916i \(0.133744\pi\)
−0.999623 + 0.0274681i \(0.991256\pi\)
\(104\) −9.28508 + 8.86911i −0.910477 + 0.869688i
\(105\) −1.58623 + 0.315520i −0.154800 + 0.0307916i
\(106\) −4.14181 + 14.9983i −0.402288 + 1.45677i
\(107\) 0.0238305 0.0445837i 0.00230378 0.00431007i −0.880767 0.473550i \(-0.842972\pi\)
0.883071 + 0.469240i \(0.155472\pi\)
\(108\) 1.88235 0.675831i 0.181129 0.0650319i
\(109\) 0.418707 + 4.25120i 0.0401048 + 0.407191i 0.994189 + 0.107652i \(0.0343331\pi\)
−0.954084 + 0.299540i \(0.903167\pi\)
\(110\) 0.819366 + 1.84574i 0.0781235 + 0.175985i
\(111\) −0.313717 + 0.129946i −0.0297767 + 0.0123339i
\(112\) 1.21039 12.5700i 0.114371 1.18776i
\(113\) 16.4197 + 6.80124i 1.54463 + 0.639807i 0.982335 0.187129i \(-0.0599181\pi\)
0.562296 + 0.826936i \(0.309918\pi\)
\(114\) −0.184194 7.34021i −0.0172513 0.687473i
\(115\) 0.246323 + 0.202152i 0.0229697 + 0.0188508i
\(116\) 10.4718 1.56502i 0.972286 0.145308i
\(117\) 4.34426 1.31782i 0.401627 0.121832i
\(118\) −19.1593 + 2.37368i −1.76376 + 0.218515i
\(119\) 2.35864 3.52995i 0.216216 0.323590i
\(120\) −0.712126 + 1.26188i −0.0650079 + 0.115194i
\(121\) −2.68580 + 1.79459i −0.244164 + 0.163145i
\(122\) 0.324766 4.43568i 0.0294029 0.401588i
\(123\) −1.73308 2.11176i −0.156266 0.190411i
\(124\) 4.47798 12.5582i 0.402134 1.12776i
\(125\) 4.39937 2.35151i 0.393492 0.210326i
\(126\) −2.38657 + 3.77335i −0.212612 + 0.336157i
\(127\) 10.8650 0.964109 0.482054 0.876141i \(-0.339891\pi\)
0.482054 + 0.876141i \(0.339891\pi\)
\(128\) −7.83246 8.16411i −0.692298 0.721612i
\(129\) −5.65347 −0.497761
\(130\) −1.75806 + 2.77963i −0.154192 + 0.243790i
\(131\) −2.32166 + 1.24095i −0.202845 + 0.108423i −0.569692 0.821859i \(-0.692937\pi\)
0.366847 + 0.930281i \(0.380437\pi\)
\(132\) 5.25104 + 1.87240i 0.457044 + 0.162971i
\(133\) 10.3985 + 12.6706i 0.901662 + 1.09868i
\(134\) 1.28850 17.5984i 0.111309 1.52027i
\(135\) 0.425948 0.284609i 0.0366598 0.0244953i
\(136\) −1.02044 3.66409i −0.0875020 0.314193i
\(137\) 1.40646 2.10492i 0.120162 0.179836i −0.766512 0.642230i \(-0.778010\pi\)
0.886674 + 0.462394i \(0.153010\pi\)
\(138\) 0.873004 0.108158i 0.0743150 0.00920699i
\(139\) −10.5798 + 3.20933i −0.897363 + 0.272212i −0.705080 0.709128i \(-0.749089\pi\)
−0.192283 + 0.981340i \(0.561589\pi\)
\(140\) −0.478102 3.19908i −0.0404070 0.270371i
\(141\) 4.90244 + 4.02333i 0.412860 + 0.338825i
\(142\) −0.318144 12.6782i −0.0266981 1.06393i
\(143\) 11.6910 + 4.84257i 0.977650 + 0.404956i
\(144\) 1.16948 + 3.82522i 0.0974565 + 0.318768i
\(145\) 2.50562 1.03786i 0.208081 0.0861898i
\(146\) 4.39044 + 9.89013i 0.363356 + 0.818513i
\(147\) −0.290812 2.95266i −0.0239858 0.243531i
\(148\) −0.229489 0.639181i −0.0188639 0.0525404i
\(149\) −3.91105 + 7.31705i −0.320405 + 0.599436i −0.989633 0.143621i \(-0.954125\pi\)
0.669227 + 0.743058i \(0.266625\pi\)
\(150\) 1.78344 6.45820i 0.145617 0.527310i
\(151\) −23.0443 + 4.58380i −1.87532 + 0.373025i −0.994874 0.101119i \(-0.967758\pi\)
−0.880447 + 0.474144i \(0.842758\pi\)
\(152\) 14.6812 + 0.336392i 1.19080 + 0.0272850i
\(153\) −0.262348 + 1.31891i −0.0212096 + 0.106628i
\(154\) −11.8149 + 3.91027i −0.952074 + 0.315098i
\(155\) 0.334735 3.39862i 0.0268866 0.272984i
\(156\) 2.21573 + 8.80497i 0.177400 + 0.704962i
\(157\) 3.42177 11.2801i 0.273087 0.900247i −0.707923 0.706290i \(-0.750368\pi\)
0.981010 0.193957i \(-0.0621324\pi\)
\(158\) 11.5332 8.13197i 0.917529 0.646945i
\(159\) 7.77986 + 7.77986i 0.616983 + 0.616983i
\(160\) −2.45253 1.54370i −0.193889 0.122040i
\(161\) −1.38859 + 1.38859i −0.109436 + 0.109436i
\(162\) 0.241017 1.39352i 0.0189361 0.109486i
\(163\) −6.22873 1.88946i −0.487871 0.147994i 0.0367592 0.999324i \(-0.488297\pi\)
−0.524631 + 0.851330i \(0.675797\pi\)
\(164\) 4.38496 3.25952i 0.342408 0.254526i
\(165\) 1.42108 + 0.139964i 0.110631 + 0.0108962i
\(166\) 15.7771 + 7.93073i 1.22454 + 0.615544i
\(167\) 1.63266 + 0.324756i 0.126339 + 0.0251304i 0.257855 0.966184i \(-0.416984\pi\)
−0.131516 + 0.991314i \(0.541984\pi\)
\(168\) −7.30900 5.12973i −0.563902 0.395767i
\(169\) 1.48449 + 7.46302i 0.114191 + 0.574078i
\(170\) −0.480664 0.847414i −0.0368653 0.0649937i
\(171\) −4.57889 2.44747i −0.350156 0.187162i
\(172\) 0.542499 11.2939i 0.0413652 0.861154i
\(173\) −24.9561 + 2.45796i −1.89738 + 0.186875i −0.978298 0.207201i \(-0.933565\pi\)
−0.919078 + 0.394076i \(0.871065\pi\)
\(174\) 2.69071 6.98674i 0.203982 0.529663i
\(175\) 5.72369 + 13.8182i 0.432670 + 1.04456i
\(176\) −4.24437 + 10.3103i −0.319931 + 0.777169i
\(177\) −5.22411 + 12.6121i −0.392668 + 0.947986i
\(178\) 12.9178 + 12.2854i 0.968233 + 0.920829i
\(179\) −2.07261 + 2.52548i −0.154914 + 0.188763i −0.844684 0.535265i \(-0.820212\pi\)
0.689770 + 0.724029i \(0.257712\pi\)
\(180\) 0.527690 + 0.878226i 0.0393317 + 0.0654591i
\(181\) 4.29826 + 14.1695i 0.319487 + 1.05321i 0.958757 + 0.284226i \(0.0917368\pi\)
−0.639270 + 0.768983i \(0.720763\pi\)
\(182\) −15.9856 12.4613i −1.18493 0.923691i
\(183\) −2.61488 1.74721i −0.193298 0.129157i
\(184\) 0.132294 + 1.75437i 0.00975284 + 0.129334i
\(185\) −0.0966434 0.144637i −0.00710537 0.0106339i
\(186\) −6.16178 7.13535i −0.451804 0.523189i
\(187\) −2.89756 + 2.37797i −0.211891 + 0.173894i
\(188\) −8.50782 + 9.40751i −0.620496 + 0.686113i
\(189\) 1.48822 + 2.78427i 0.108252 + 0.202526i
\(190\) 3.66961 0.826138i 0.266221 0.0599344i
\(191\) 4.55766i 0.329781i 0.986312 + 0.164890i \(0.0527270\pi\)
−0.986312 + 0.164890i \(0.947273\pi\)
\(192\) −7.75385 + 1.96920i −0.559586 + 0.142115i
\(193\) 26.9836i 1.94232i −0.238424 0.971161i \(-0.576631\pi\)
0.238424 0.971161i \(-0.423369\pi\)
\(194\) −1.89638 8.42347i −0.136152 0.604770i
\(195\) 1.09630 + 2.05103i 0.0785074 + 0.146877i
\(196\) 5.92643 0.297621i 0.423316 0.0212586i
\(197\) −10.8509 + 8.90507i −0.773092 + 0.634460i −0.935927 0.352193i \(-0.885436\pi\)
0.162836 + 0.986653i \(0.447936\pi\)
\(198\) 2.98354 2.57646i 0.212031 0.183101i
\(199\) 13.9364 + 20.8573i 0.987924 + 1.47853i 0.874524 + 0.484983i \(0.161174\pi\)
0.113400 + 0.993549i \(0.463826\pi\)
\(200\) 12.7304 + 4.18249i 0.900175 + 0.295747i
\(201\) −10.3745 6.93201i −0.731760 0.488946i
\(202\) −4.56091 + 5.85084i −0.320905 + 0.411664i
\(203\) 4.85171 + 15.9940i 0.340523 + 1.12256i
\(204\) −2.60961 0.650652i −0.182709 0.0455548i
\(205\) 0.887826 1.08182i 0.0620085 0.0755575i
\(206\) −4.39080 + 4.61684i −0.305922 + 0.321670i
\(207\) 0.238039 0.574677i 0.0165449 0.0399428i
\(208\) −17.8023 + 3.58144i −1.23437 + 0.248328i
\(209\) −5.53828 13.3706i −0.383091 0.924864i
\(210\) −2.13440 0.821993i −0.147288 0.0567229i
\(211\) 5.25265 0.517340i 0.361607 0.0356152i 0.0844176 0.996430i \(-0.473097\pi\)
0.277189 + 0.960815i \(0.410597\pi\)
\(212\) −16.2883 + 14.7953i −1.11869 + 1.01614i
\(213\) −7.90878 4.22733i −0.541900 0.289652i
\(214\) 0.0621857 0.0352725i 0.00425092 0.00241118i
\(215\) −0.565017 2.84053i −0.0385338 0.193723i
\(216\) 2.76071 + 0.615200i 0.187843 + 0.0418591i
\(217\) 20.6416 + 4.10588i 1.40125 + 0.278725i
\(218\) −2.71325 + 5.39762i −0.183765 + 0.365573i
\(219\) 7.61465 + 0.749977i 0.514550 + 0.0506788i
\(220\) −0.415972 + 2.82546i −0.0280448 + 0.190493i
\(221\) −5.84194 1.77213i −0.392972 0.119207i
\(222\) −0.473192 0.0818411i −0.0317586 0.00549281i
\(223\) −11.9760 + 11.9760i −0.801973 + 0.801973i −0.983404 0.181431i \(-0.941927\pi\)
0.181431 + 0.983404i \(0.441927\pi\)
\(224\) 10.9490 14.1089i 0.731561 0.942692i
\(225\) −3.34996 3.34996i −0.223331 0.223331i
\(226\) 14.4836 + 20.5414i 0.963437 + 1.36639i
\(227\) −7.70283 + 25.3928i −0.511255 + 1.68538i 0.197812 + 0.980240i \(0.436616\pi\)
−0.709067 + 0.705141i \(0.750884\pi\)
\(228\) 5.32868 8.91237i 0.352900 0.590236i
\(229\) −1.38909 + 14.1037i −0.0917937 + 0.931998i 0.833443 + 0.552606i \(0.186367\pi\)
−0.925236 + 0.379391i \(0.876133\pi\)
\(230\) 0.141592 + 0.427823i 0.00933630 + 0.0282098i
\(231\) −1.71681 + 8.63099i −0.112958 + 0.567877i
\(232\) 13.6992 + 6.04566i 0.899395 + 0.396917i
\(233\) 20.2852 4.03498i 1.32893 0.264340i 0.520967 0.853577i \(-0.325571\pi\)
0.807961 + 0.589236i \(0.200571\pi\)
\(234\) 6.18853 + 1.70897i 0.404557 + 0.111719i
\(235\) −1.53152 + 2.86528i −0.0999056 + 0.186910i
\(236\) −24.6939 11.6464i −1.60744 0.758118i
\(237\) −0.978069 9.93050i −0.0635324 0.645055i
\(238\) 5.48755 2.43604i 0.355705 0.157905i
\(239\) 20.0048 8.28626i 1.29400 0.535994i 0.373828 0.927498i \(-0.378045\pi\)
0.920176 + 0.391504i \(0.128045\pi\)
\(240\) −1.80507 + 0.969891i −0.116516 + 0.0626062i
\(241\) −0.884074 0.366195i −0.0569482 0.0235887i 0.354028 0.935235i \(-0.384812\pi\)
−0.410976 + 0.911646i \(0.634812\pi\)
\(242\) −4.56673 + 0.114597i −0.293561 + 0.00736655i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) 3.74132 5.05609i 0.239513 0.323683i
\(245\) 1.45447 0.441209i 0.0929228 0.0281878i
\(246\) −0.475015 3.83412i −0.0302859 0.244455i
\(247\) 13.0948 19.5978i 0.833204 1.24698i
\(248\) 14.8455 11.6247i 0.942693 0.738167i
\(249\) 10.3819 6.93698i 0.657928 0.439613i
\(250\) 7.03582 + 0.515139i 0.444984 + 0.0325803i
\(251\) 5.17411 + 6.30467i 0.326587 + 0.397947i 0.910257 0.414044i \(-0.135884\pi\)
−0.583670 + 0.811991i \(0.698384\pi\)
\(252\) −5.70493 + 2.70584i −0.359377 + 0.170452i
\(253\) 1.52913 0.817336i 0.0961355 0.0513855i
\(254\) 12.9860 + 8.21336i 0.814812 + 0.515352i
\(255\) −0.688893 −0.0431402
\(256\) −3.18982 15.6788i −0.199363 0.979926i
\(257\) −28.5654 −1.78186 −0.890931 0.454139i \(-0.849947\pi\)
−0.890931 + 0.454139i \(0.849947\pi\)
\(258\) −6.75712 4.27374i −0.420680 0.266072i
\(259\) 0.945440 0.505348i 0.0587468 0.0314008i
\(260\) −4.20253 + 1.99325i −0.260630 + 0.123616i
\(261\) −3.35852 4.09237i −0.207887 0.253311i
\(262\) −3.71299 0.271852i −0.229389 0.0167951i
\(263\) 4.19063 2.80009i 0.258405 0.172661i −0.419619 0.907700i \(-0.637836\pi\)
0.678024 + 0.735039i \(0.262836\pi\)
\(264\) 4.86068 + 6.20744i 0.299154 + 0.382042i
\(265\) −3.13138 + 4.68645i −0.192359 + 0.287886i
\(266\) 2.85010 + 23.0048i 0.174751 + 1.41051i
\(267\) 12.0628 3.65921i 0.738231 0.223940i
\(268\) 14.8436 20.0599i 0.906716 1.22535i
\(269\) −5.61490 4.60803i −0.342347 0.280957i 0.447471 0.894299i \(-0.352325\pi\)
−0.789818 + 0.613342i \(0.789825\pi\)
\(270\) 0.724250 0.0181742i 0.0440765 0.00110605i
\(271\) 14.4400 + 5.98123i 0.877166 + 0.363334i 0.775397 0.631474i \(-0.217550\pi\)
0.101769 + 0.994808i \(0.467550\pi\)
\(272\) 1.55022 5.15077i 0.0939959 0.312312i
\(273\) −13.2412 + 5.48468i −0.801394 + 0.331948i
\(274\) 3.27224 1.45262i 0.197683 0.0877559i
\(275\) −1.29438 13.1421i −0.0780542 0.792498i
\(276\) 1.12519 + 0.530675i 0.0677284 + 0.0319429i
\(277\) 3.08508 5.77178i 0.185365 0.346793i −0.772025 0.635592i \(-0.780756\pi\)
0.957390 + 0.288799i \(0.0932560\pi\)
\(278\) −15.0712 4.16192i −0.903909 0.249615i
\(279\) −6.53827 + 1.30054i −0.391436 + 0.0778615i
\(280\) 1.84691 4.18501i 0.110374 0.250102i
\(281\) 2.15600 10.8389i 0.128616 0.646596i −0.861661 0.507485i \(-0.830575\pi\)
0.990277 0.139112i \(-0.0444247\pi\)
\(282\) 2.81804 + 8.51474i 0.167812 + 0.507045i
\(283\) 0.275637 2.79859i 0.0163849 0.166359i −0.983510 0.180853i \(-0.942114\pi\)
0.999895 + 0.0144948i \(0.00461402\pi\)
\(284\) 9.20383 15.3937i 0.546147 0.913447i
\(285\) 0.772084 2.54522i 0.0457343 0.150766i
\(286\) 10.3125 + 14.6257i 0.609792 + 0.864837i
\(287\) 6.09853 + 6.09853i 0.359985 + 0.359985i
\(288\) −1.49390 + 5.45603i −0.0880287 + 0.321500i
\(289\) −10.7421 + 10.7421i −0.631889 + 0.631889i
\(290\) 3.77933 + 0.653655i 0.221930 + 0.0383839i
\(291\) −5.84248 1.77230i −0.342492 0.103894i
\(292\) −2.22892 + 15.1398i −0.130438 + 0.885989i
\(293\) −17.0643 1.68068i −0.996905 0.0981865i −0.413616 0.910451i \(-0.635734\pi\)
−0.583289 + 0.812265i \(0.698234\pi\)
\(294\) 1.88448 3.74891i 0.109905 0.218641i
\(295\) −6.85894 1.36433i −0.399343 0.0794343i
\(296\) 0.208900 0.937441i 0.0121421 0.0544877i
\(297\) −0.543802 2.73388i −0.0315546 0.158636i
\(298\) −10.2059 + 5.78890i −0.591210 + 0.335342i
\(299\) 2.49040 + 1.33115i 0.144024 + 0.0769822i
\(300\) 7.01367 6.37076i 0.404934 0.367816i
\(301\) 17.7623 1.74944i 1.02380 0.100836i
\(302\) −31.0081 11.9417i −1.78431 0.687169i
\(303\) 2.00743 + 4.84637i 0.115324 + 0.278417i
\(304\) 17.2929 + 11.5003i 0.991815 + 0.659587i
\(305\) 0.616533 1.48844i 0.0353026 0.0852279i
\(306\) −1.31059 + 1.37806i −0.0749216 + 0.0787785i
\(307\) 15.3043 18.6483i 0.873461 1.06432i −0.123942 0.992289i \(-0.539554\pi\)
0.997403 0.0720258i \(-0.0229464\pi\)
\(308\) −17.0774 4.25788i −0.973072 0.242615i
\(309\) 1.30780 + 4.31124i 0.0743982 + 0.245258i
\(310\) 2.96927 3.80904i 0.168643 0.216339i
\(311\) −5.62710 3.75991i −0.319084 0.213205i 0.385705 0.922622i \(-0.373958\pi\)
−0.704789 + 0.709417i \(0.748958\pi\)
\(312\) −4.00784 + 12.1988i −0.226899 + 0.690622i
\(313\) 11.6843 + 17.4868i 0.660434 + 0.988410i 0.998875 + 0.0474219i \(0.0151005\pi\)
−0.338441 + 0.940988i \(0.609899\pi\)
\(314\) 12.6169 10.8954i 0.712014 0.614864i
\(315\) −1.25019 + 1.02601i −0.0704404 + 0.0578089i
\(316\) 19.9320 1.00097i 1.12126 0.0563089i
\(317\) 0.0828413 + 0.154985i 0.00465283 + 0.00870483i 0.884237 0.467039i \(-0.154679\pi\)
−0.879584 + 0.475743i \(0.842179\pi\)
\(318\) 3.41743 + 15.1798i 0.191640 + 0.851241i
\(319\) 14.7569i 0.826228i
\(320\) −1.76434 3.69904i −0.0986294 0.206783i
\(321\) 0.0505530i 0.00282159i
\(322\) −2.70937 + 0.609961i −0.150987 + 0.0339918i
\(323\) 3.29123 + 6.15746i 0.183129 + 0.342610i
\(324\) 1.34150 1.48336i 0.0745279 0.0824092i
\(325\) 16.6254 13.6441i 0.922210 0.756838i
\(326\) −6.01633 6.96692i −0.333214 0.385862i
\(327\) 2.37327 + 3.55185i 0.131242 + 0.196418i
\(328\) 7.70500 0.581019i 0.425437 0.0320814i
\(329\) −16.6477 11.1236i −0.917818 0.613266i
\(330\) 1.59269 + 1.24156i 0.0876749 + 0.0683454i
\(331\) 8.00761 + 26.3976i 0.440138 + 1.45094i 0.844110 + 0.536169i \(0.180129\pi\)
−0.403972 + 0.914771i \(0.632371\pi\)
\(332\) 12.8617 + 21.4056i 0.705880 + 1.17478i
\(333\) −0.215418 + 0.262487i −0.0118048 + 0.0143842i
\(334\) 1.70588 + 1.62236i 0.0933416 + 0.0887717i
\(335\) 2.44608 5.90536i 0.133644 0.322644i
\(336\) −4.85801 11.6564i −0.265026 0.635907i
\(337\) 1.67342 + 4.04000i 0.0911571 + 0.220073i 0.962882 0.269923i \(-0.0869983\pi\)
−0.871725 + 0.489996i \(0.836998\pi\)
\(338\) −3.86738 + 10.0421i −0.210358 + 0.546219i
\(339\) 17.6869 1.74201i 0.960622 0.0946130i
\(340\) 0.0661052 1.37620i 0.00358506 0.0746349i
\(341\) −16.3879 8.75953i −0.887456 0.474355i
\(342\) −3.62259 6.38666i −0.195887 0.345351i
\(343\) −2.48399 12.4879i −0.134123 0.674282i
\(344\) 9.18605 13.0886i 0.495278 0.705689i
\(345\) 0.312531 + 0.0621663i 0.0168261 + 0.00334692i
\(346\) −31.6860 15.9278i −1.70345 0.856281i
\(347\) −21.7729 2.14445i −1.16883 0.115120i −0.505080 0.863072i \(-0.668537\pi\)
−0.663752 + 0.747953i \(0.731037\pi\)
\(348\) 8.49760 6.31661i 0.455519 0.338606i
\(349\) −21.7312 6.59209i −1.16324 0.352866i −0.351109 0.936335i \(-0.614195\pi\)
−0.812136 + 0.583468i \(0.801695\pi\)
\(350\) −3.60483 + 20.8426i −0.192686 + 1.11408i
\(351\) 3.21008 3.21008i 0.171341 0.171341i
\(352\) −12.8670 + 9.11451i −0.685814 + 0.485805i
\(353\) 2.66637 + 2.66637i 0.141917 + 0.141917i 0.774496 0.632579i \(-0.218004\pi\)
−0.632579 + 0.774496i \(0.718004\pi\)
\(354\) −15.7781 + 11.1250i −0.838595 + 0.591289i
\(355\) 1.33356 4.39617i 0.0707782 0.233325i
\(356\) 6.15246 + 24.4489i 0.326080 + 1.29579i
\(357\) 0.416126 4.22500i 0.0220237 0.223611i
\(358\) −4.38635 + 1.45171i −0.231826 + 0.0767250i
\(359\) 2.48458 12.4908i 0.131131 0.659240i −0.858172 0.513363i \(-0.828400\pi\)
0.989303 0.145877i \(-0.0466004\pi\)
\(360\) −0.0331915 + 1.44858i −0.00174934 + 0.0763467i
\(361\) −7.80341 + 1.55219i −0.410706 + 0.0816945i
\(362\) −5.57406 + 20.1849i −0.292966 + 1.06089i
\(363\) −1.52270 + 2.84877i −0.0799209 + 0.149521i
\(364\) −9.68613 26.9782i −0.507691 1.41404i
\(365\) 0.384201 + 3.90086i 0.0201100 + 0.204180i
\(366\) −1.80455 4.06501i −0.0943252 0.212482i
\(367\) −28.1644 + 11.6661i −1.47017 + 0.608964i −0.966898 0.255164i \(-0.917871\pi\)
−0.503272 + 0.864128i \(0.667871\pi\)
\(368\) −1.16810 + 2.19686i −0.0608914 + 0.114519i
\(369\) −2.52391 1.04544i −0.131390 0.0544234i
\(370\) −0.00617132 0.245930i −0.000320832 0.0127853i
\(371\) −26.8506 22.0357i −1.39401 1.14404i
\(372\) −1.97069 13.1863i −0.102175 0.683677i
\(373\) 28.9290 8.77552i 1.49789 0.454379i 0.568250 0.822856i \(-0.307621\pi\)
0.929637 + 0.368477i \(0.120121\pi\)
\(374\) −5.26083 + 0.651772i −0.272031 + 0.0337023i
\(375\) 2.77140 4.14770i 0.143115 0.214186i
\(376\) −17.2803 + 4.81252i −0.891163 + 0.248187i
\(377\) 19.9833 13.3524i 1.02919 0.687684i
\(378\) −0.326021 + 4.45282i −0.0167687 + 0.229028i
\(379\) 6.23718 + 7.60003i 0.320382 + 0.390387i 0.908152 0.418642i \(-0.137494\pi\)
−0.587769 + 0.809029i \(0.699994\pi\)
\(380\) 5.01049 + 1.78662i 0.257033 + 0.0916519i
\(381\) 9.58203 5.12170i 0.490902 0.262393i
\(382\) −3.44536 + 5.44738i −0.176280 + 0.278712i
\(383\) −13.4199 −0.685724 −0.342862 0.939386i \(-0.611396\pi\)
−0.342862 + 0.939386i \(0.611396\pi\)
\(384\) −10.7561 3.50791i −0.548897 0.179012i
\(385\) −4.50813 −0.229756
\(386\) 20.3982 32.2512i 1.03824 1.64154i
\(387\) −4.98592 + 2.66503i −0.253449 + 0.135471i
\(388\) 4.10114 11.5014i 0.208204 0.583896i
\(389\) −17.6572 21.5153i −0.895255 1.09087i −0.995391 0.0958975i \(-0.969428\pi\)
0.100136 0.994974i \(-0.468072\pi\)
\(390\) −0.240162 + 3.28016i −0.0121611 + 0.166097i
\(391\) −0.695499 + 0.464718i −0.0351729 + 0.0235018i
\(392\) 7.30835 + 4.12436i 0.369127 + 0.208312i
\(393\) −1.46254 + 2.18885i −0.0737755 + 0.110413i
\(394\) −19.7009 + 2.44077i −0.992517 + 0.122964i
\(395\) 4.89173 1.48389i 0.246130 0.0746626i
\(396\) 5.51364 0.824013i 0.277071 0.0414082i
\(397\) −27.6849 22.7204i −1.38947 1.14031i −0.972907 0.231199i \(-0.925735\pi\)
−0.416561 0.909108i \(-0.636765\pi\)
\(398\) 0.889930 + 35.4641i 0.0446082 + 1.77766i
\(399\) 15.1435 + 6.27265i 0.758124 + 0.314025i
\(400\) 12.0538 + 14.6225i 0.602691 + 0.731126i
\(401\) 5.65403 2.34198i 0.282349 0.116953i −0.237015 0.971506i \(-0.576169\pi\)
0.519364 + 0.854553i \(0.326169\pi\)
\(402\) −7.15950 16.1278i −0.357083 0.804384i
\(403\) −2.96635 30.1178i −0.147764 1.50028i
\(404\) −9.87422 + 3.54519i −0.491261 + 0.176380i
\(405\) 0.241489 0.451794i 0.0119997 0.0224498i
\(406\) −6.29178 + 22.7839i −0.312256 + 1.13074i
\(407\) −0.928330 + 0.184656i −0.0460156 + 0.00915307i
\(408\) −2.62719 2.75040i −0.130065 0.136165i
\(409\) 5.72045 28.7587i 0.282858 1.42202i −0.534146 0.845392i \(-0.679367\pi\)
0.817004 0.576632i \(-0.195633\pi\)
\(410\) 1.87894 0.621855i 0.0927944 0.0307112i
\(411\) 0.248137 2.51938i 0.0122397 0.124272i
\(412\) −8.73805 + 2.19889i −0.430493 + 0.108331i
\(413\) 12.5106 41.2419i 0.615607 2.02938i
\(414\) 0.718935 0.506918i 0.0353337 0.0249136i
\(415\) 4.52300 + 4.52300i 0.222025 + 0.222025i
\(416\) −23.9849 9.17703i −1.17596 0.449941i
\(417\) −7.81764 + 7.81764i −0.382831 + 0.382831i
\(418\) 3.48806 20.1674i 0.170607 0.986420i
\(419\) 33.9739 + 10.3059i 1.65974 + 0.503475i 0.974413 0.224764i \(-0.0721612\pi\)
0.685323 + 0.728240i \(0.259661\pi\)
\(420\) −1.92968 2.59596i −0.0941589 0.126670i
\(421\) −26.4049 2.60066i −1.28690 0.126748i −0.568675 0.822562i \(-0.692544\pi\)
−0.718222 + 0.695814i \(0.755044\pi\)
\(422\) 6.66913 + 3.35240i 0.324648 + 0.163192i
\(423\) 6.22015 + 1.23726i 0.302434 + 0.0601579i
\(424\) −30.6526 + 5.37035i −1.48862 + 0.260807i
\(425\) 1.24289 + 6.24843i 0.0602890 + 0.303093i
\(426\) −6.25704 11.0312i −0.303155 0.534464i
\(427\) 8.75623 + 4.68030i 0.423744 + 0.226496i
\(428\) 0.100989 + 0.00485099i 0.00488151 + 0.000234481i
\(429\) 12.5933 1.24033i 0.608011 0.0598838i
\(430\) 1.47198 3.82217i 0.0709853 0.184322i
\(431\) −1.12918 2.72609i −0.0543909 0.131311i 0.894348 0.447372i \(-0.147640\pi\)
−0.948739 + 0.316060i \(0.897640\pi\)
\(432\) 2.83458 + 2.82226i 0.136379 + 0.135786i
\(433\) −2.96487 + 7.15783i −0.142483 + 0.343984i −0.978970 0.204002i \(-0.934605\pi\)
0.836488 + 0.547986i \(0.184605\pi\)
\(434\) 21.5674 + 20.5114i 1.03527 + 0.984581i
\(435\) 1.72052 2.09645i 0.0824924 0.100517i
\(436\) −7.32325 + 4.40024i −0.350720 + 0.210733i
\(437\) −0.937482 3.09046i −0.0448458 0.147837i
\(438\) 8.53420 + 6.65267i 0.407780 + 0.317877i
\(439\) −3.74565 2.50276i −0.178770 0.119450i 0.462966 0.886376i \(-0.346785\pi\)
−0.641736 + 0.766926i \(0.721785\pi\)
\(440\) −2.63308 + 3.06258i −0.125527 + 0.146003i
\(441\) −1.64835 2.46693i −0.0784928 0.117473i
\(442\) −5.64274 6.53430i −0.268398 0.310805i
\(443\) 20.8921 17.1457i 0.992611 0.814615i 0.00993601 0.999951i \(-0.496837\pi\)
0.982675 + 0.185336i \(0.0593372\pi\)
\(444\) −0.503699 0.455527i −0.0239045 0.0216184i
\(445\) 3.04411 + 5.69512i 0.144304 + 0.269975i
\(446\) −23.3672 + 5.26065i −1.10647 + 0.249099i
\(447\) 8.29672i 0.392421i
\(448\) 23.7521 8.58631i 1.12218 0.405665i
\(449\) 4.25577i 0.200842i −0.994945 0.100421i \(-0.967981\pi\)
0.994945 0.100421i \(-0.0320190\pi\)
\(450\) −1.47152 6.53633i −0.0693683 0.308126i
\(451\) −3.58964 6.71574i −0.169030 0.316232i
\(452\) 1.78280 + 35.5003i 0.0838557 + 1.66979i
\(453\) −18.1625 + 14.9056i −0.853349 + 0.700325i
\(454\) −28.4022 + 24.5269i −1.33298 + 1.15111i
\(455\) −4.07907 6.10476i −0.191230 0.286196i
\(456\) 13.1062 6.62399i 0.613755 0.310197i
\(457\) −27.2769 18.2258i −1.27596 0.852568i −0.281692 0.959505i \(-0.590896\pi\)
−0.994266 + 0.106937i \(0.965896\pi\)
\(458\) −12.3219 + 15.8069i −0.575766 + 0.738606i
\(459\) 0.390360 + 1.28685i 0.0182205 + 0.0600648i
\(460\) −0.154179 + 0.618377i −0.00718865 + 0.0288320i
\(461\) −15.3259 + 18.6747i −0.713800 + 0.869768i −0.995978 0.0895938i \(-0.971443\pi\)
0.282178 + 0.959362i \(0.408943\pi\)
\(462\) −8.57655 + 9.01807i −0.399017 + 0.419558i
\(463\) 2.88236 6.95864i 0.133955 0.323395i −0.842642 0.538474i \(-0.819001\pi\)
0.976597 + 0.215079i \(0.0690009\pi\)
\(464\) 11.8033 + 17.5818i 0.547953 + 0.816213i
\(465\) −1.30689 3.15511i −0.0606056 0.146315i
\(466\) 27.2954 + 10.5119i 1.26444 + 0.486956i
\(467\) −0.780109 + 0.0768340i −0.0360991 + 0.00355545i −0.116051 0.993243i \(-0.537023\pi\)
0.0799515 + 0.996799i \(0.474523\pi\)
\(468\) 6.10473 + 6.72080i 0.282191 + 0.310669i
\(469\) 34.7401 + 18.5690i 1.60415 + 0.857436i
\(470\) −3.99651 + 2.26687i −0.184345 + 0.104563i
\(471\) −2.29965 11.5611i −0.105962 0.532709i
\(472\) −20.7104 32.5874i −0.953274 1.49995i
\(473\) −15.4559 3.07437i −0.710664 0.141360i
\(474\) 6.33795 12.6085i 0.291112 0.579125i
\(475\) −24.4787 2.41095i −1.12316 0.110622i
\(476\) 8.40033 + 1.23672i 0.385029 + 0.0566849i
\(477\) 10.5286 + 3.19382i 0.482073 + 0.146235i
\(478\) 30.1741 + 5.21876i 1.38013 + 0.238701i
\(479\) 9.72626 9.72626i 0.444404 0.444404i −0.449085 0.893489i \(-0.648250\pi\)
0.893489 + 0.449085i \(0.148250\pi\)
\(480\) −2.89063 0.205310i −0.131939 0.00937106i
\(481\) −1.09003 1.09003i −0.0497011 0.0497011i
\(482\) −0.779833 1.10600i −0.0355204 0.0503768i
\(483\) −0.570051 + 1.87921i −0.0259382 + 0.0855069i
\(484\) −5.54486 3.31525i −0.252039 0.150693i
\(485\) 0.306566 3.11262i 0.0139205 0.141337i
\(486\) −0.444345 1.34259i −0.0201559 0.0609013i
\(487\) −2.79710 + 14.0620i −0.126749 + 0.637210i 0.864220 + 0.503115i \(0.167813\pi\)
−0.990968 + 0.134095i \(0.957187\pi\)
\(488\) 8.29383 3.21487i 0.375444 0.145530i
\(489\) −6.38393 + 1.26984i −0.288691 + 0.0574243i
\(490\) 2.07194 + 0.572168i 0.0936007 + 0.0258479i
\(491\) −5.22346 + 9.77240i −0.235731 + 0.441022i −0.971774 0.235913i \(-0.924192\pi\)
0.736043 + 0.676935i \(0.236692\pi\)
\(492\) 2.33066 4.94169i 0.105074 0.222789i
\(493\) 0.697804 + 7.08492i 0.0314275 + 0.319089i
\(494\) 30.4661 13.5246i 1.37073 0.608499i
\(495\) 1.31926 0.546456i 0.0592964 0.0245614i
\(496\) 26.5313 2.67150i 1.19129 0.119954i
\(497\) 26.1563 + 10.8343i 1.17327 + 0.485984i
\(498\) 17.6526 0.442972i 0.791034 0.0198500i
\(499\) 31.2569 + 25.6519i 1.39925 + 1.14834i 0.969414 + 0.245431i \(0.0789295\pi\)
0.429839 + 0.902906i \(0.358570\pi\)
\(500\) 8.01990 + 5.93443i 0.358661 + 0.265396i
\(501\) 1.59297 0.483221i 0.0711684 0.0215887i
\(502\) 1.41816 + 11.4468i 0.0632956 + 0.510896i
\(503\) 12.7105 19.0226i 0.566734 0.848177i −0.431819 0.901960i \(-0.642128\pi\)
0.998553 + 0.0537832i \(0.0171280\pi\)
\(504\) −8.86410 1.07858i −0.394838 0.0480436i
\(505\) −2.23439 + 1.49297i −0.0994289 + 0.0664363i
\(506\) 2.44550 + 0.179051i 0.108716 + 0.00795981i
\(507\) 4.82724 + 5.88201i 0.214385 + 0.261229i
\(508\) 9.31213 + 19.6335i 0.413159 + 0.871094i
\(509\) 7.81886 4.17927i 0.346565 0.185243i −0.288925 0.957352i \(-0.593298\pi\)
0.635490 + 0.772109i \(0.280798\pi\)
\(510\) −0.823376 0.520769i −0.0364597 0.0230600i
\(511\) −24.1561 −1.06860
\(512\) 8.03988 21.1509i 0.355316 0.934746i
\(513\) −5.19194 −0.229230
\(514\) −34.1418 21.5940i −1.50593 0.952471i
\(515\) −2.03544 + 1.08796i −0.0896921 + 0.0479414i
\(516\) −4.84548 10.2161i −0.213310 0.449738i
\(517\) 11.2148 + 13.6653i 0.493226 + 0.600997i
\(518\) 1.51202 + 0.110705i 0.0664344 + 0.00486411i
\(519\) −20.8506 + 13.9319i −0.915241 + 0.611544i
\(520\) −6.52972 0.794531i −0.286347 0.0348425i
\(521\) 7.33901 10.9836i 0.321528 0.481201i −0.635134 0.772402i \(-0.719055\pi\)
0.956662 + 0.291202i \(0.0940550\pi\)
\(522\) −0.920531 7.43014i −0.0402905 0.325208i
\(523\) −8.65277 + 2.62479i −0.378359 + 0.114774i −0.473735 0.880667i \(-0.657095\pi\)
0.0953760 + 0.995441i \(0.469595\pi\)
\(524\) −4.23231 3.13175i −0.184889 0.136811i
\(525\) 11.5617 + 9.48844i 0.504594 + 0.414110i
\(526\) 7.12543 0.178804i 0.310683 0.00779623i
\(527\) 8.28220 + 3.43060i 0.360778 + 0.149439i
\(528\) 1.11705 + 11.0937i 0.0486132 + 0.482790i
\(529\) −20.8918 + 8.65365i −0.908338 + 0.376246i
\(530\) −7.28540 + 3.23414i −0.316457 + 0.140482i
\(531\) 1.33806 + 13.5855i 0.0580668 + 0.589562i
\(532\) −13.9840 + 29.6502i −0.606283 + 1.28550i
\(533\) 5.84624 10.9375i 0.253229 0.473757i
\(534\) 17.1838 + 4.74532i 0.743616 + 0.205350i
\(535\) 0.0253998 0.00505234i 0.00109813 0.000218432i
\(536\) 32.9055 12.7549i 1.42130 0.550928i
\(537\) −0.637374 + 3.20430i −0.0275047 + 0.138276i
\(538\) −3.22758 9.75218i −0.139151 0.420446i
\(539\) 0.810620 8.23037i 0.0349159 0.354507i
\(540\) 0.879374 + 0.525775i 0.0378422 + 0.0226257i
\(541\) 4.66301 15.3719i 0.200479 0.660890i −0.797837 0.602873i \(-0.794022\pi\)
0.998316 0.0580163i \(-0.0184775\pi\)
\(542\) 12.7374 + 18.0648i 0.547117 + 0.775948i
\(543\) 10.4702 + 10.4702i 0.449318 + 0.449318i
\(544\) 5.74657 4.98440i 0.246382 0.213704i
\(545\) −1.54740 + 1.54740i −0.0662835 + 0.0662835i
\(546\) −19.9722 3.45430i −0.854733 0.147830i
\(547\) 22.6028 + 6.85648i 0.966425 + 0.293162i 0.733770 0.679398i \(-0.237759\pi\)
0.232654 + 0.972559i \(0.425259\pi\)
\(548\) 5.00914 + 0.737458i 0.213980 + 0.0315026i
\(549\) −3.12975 0.308254i −0.133575 0.0131559i
\(550\) 8.38769 16.6861i 0.357652 0.711498i
\(551\) −26.9584 5.36235i −1.14847 0.228444i
\(552\) 0.943679 + 1.48486i 0.0401657 + 0.0631997i
\(553\) 6.14588 + 30.8974i 0.261349 + 1.31389i
\(554\) 8.05052 4.56636i 0.342034 0.194006i
\(555\) −0.153413 0.0820011i −0.00651203 0.00348075i
\(556\) −14.8671 16.3674i −0.630506 0.694134i
\(557\) 37.4089 3.68445i 1.58507 0.156115i 0.733251 0.679958i \(-0.238002\pi\)
0.851815 + 0.523843i \(0.175502\pi\)
\(558\) −8.79779 3.38817i −0.372440 0.143433i
\(559\) −9.82168 23.7116i −0.415413 1.00290i
\(560\) 5.37111 3.60582i 0.226971 0.152374i
\(561\) −1.43445 + 3.46308i −0.0605627 + 0.146211i
\(562\) 10.7706 11.3250i 0.454329 0.477718i
\(563\) 11.8537 14.4438i 0.499576 0.608735i −0.460779 0.887515i \(-0.652430\pi\)
0.960355 + 0.278780i \(0.0899300\pi\)
\(564\) −3.06856 + 12.3072i −0.129209 + 0.518228i
\(565\) 2.64292 + 8.71252i 0.111188 + 0.366539i
\(566\) 2.44504 3.13655i 0.102772 0.131839i
\(567\) 2.62499 + 1.75396i 0.110239 + 0.0736595i
\(568\) 22.6374 11.4411i 0.949845 0.480059i
\(569\) 14.0434 + 21.0174i 0.588730 + 0.881097i 0.999531 0.0306281i \(-0.00975075\pi\)
−0.410801 + 0.911725i \(0.634751\pi\)
\(570\) 2.84686 2.45843i 0.119242 0.102972i
\(571\) −28.1903 + 23.1352i −1.17973 + 0.968178i −0.999880 0.0155166i \(-0.995061\pi\)
−0.179848 + 0.983694i \(0.557561\pi\)
\(572\) 1.26937 + 25.2766i 0.0530752 + 1.05687i
\(573\) 2.14846 + 4.01949i 0.0897534 + 0.167917i
\(574\) 2.67887 + 11.8992i 0.111814 + 0.496665i
\(575\) 2.94689i 0.122894i
\(576\) −5.91001 + 5.39182i −0.246251 + 0.224659i
\(577\) 17.5319i 0.729863i 0.931034 + 0.364931i \(0.118908\pi\)
−0.931034 + 0.364931i \(0.881092\pi\)
\(578\) −20.9596 + 4.71864i −0.871806 + 0.196270i
\(579\) −12.7200 23.7974i −0.528624 0.988987i
\(580\) 4.02298 + 3.63824i 0.167045 + 0.151070i
\(581\) −30.4718 + 25.0075i −1.26418 + 1.03749i
\(582\) −5.64325 6.53489i −0.233920 0.270880i
\(583\) 17.0385 + 25.4999i 0.705662 + 1.05610i
\(584\) −14.1090 + 16.4104i −0.583833 + 0.679065i
\(585\) 1.93369 + 1.29205i 0.0799484 + 0.0534198i
\(586\) −19.1250 14.9085i −0.790045 0.615865i
\(587\) 11.7741 + 38.8141i 0.485970 + 1.60203i 0.766541 + 0.642195i \(0.221976\pi\)
−0.280571 + 0.959833i \(0.590524\pi\)
\(588\) 5.08635 3.05618i 0.209757 0.126035i
\(589\) −21.9572 + 26.7550i −0.904732 + 1.10242i
\(590\) −7.16655 6.81568i −0.295042 0.280597i
\(591\) −5.37178 + 12.9686i −0.220966 + 0.533458i
\(592\) 0.958340 0.962526i 0.0393875 0.0395596i
\(593\) 5.67732 + 13.7063i 0.233139 + 0.562848i 0.996543 0.0830729i \(-0.0264734\pi\)
−0.763404 + 0.645921i \(0.776473\pi\)
\(594\) 1.41671 3.67866i 0.0581285 0.150937i
\(595\) 2.16440 0.213174i 0.0887316 0.00873930i
\(596\) −16.5743 0.796141i −0.678911 0.0326112i
\(597\) 22.1228 + 11.8249i 0.905427 + 0.483961i
\(598\) 1.97029 + 3.47363i 0.0805710 + 0.142047i
\(599\) −6.64640 33.4137i −0.271564 1.36525i −0.840030 0.542539i \(-0.817463\pi\)
0.568466 0.822707i \(-0.307537\pi\)
\(600\) 13.1988 2.31244i 0.538840 0.0944051i
\(601\) 0.0821398 + 0.0163386i 0.00335055 + 0.000666467i 0.196765 0.980451i \(-0.436956\pi\)
−0.193415 + 0.981117i \(0.561956\pi\)
\(602\) 22.5523 + 11.3365i 0.919164 + 0.462041i
\(603\) −12.4172 1.22299i −0.505668 0.0498039i
\(604\) −28.0340 37.7135i −1.14069 1.53454i
\(605\) −1.58352 0.480354i −0.0643791 0.0195292i
\(606\) −1.26430 + 7.30998i −0.0513587 + 0.296948i
\(607\) −16.0416 + 16.0416i −0.651108 + 0.651108i −0.953260 0.302152i \(-0.902295\pi\)
0.302152 + 0.953260i \(0.402295\pi\)
\(608\) 11.9751 + 26.8179i 0.485653 + 1.08761i
\(609\) 11.8183 + 11.8183i 0.478903 + 0.478903i
\(610\) 1.86208 1.31294i 0.0753933 0.0531594i
\(611\) −8.35760 + 27.5513i −0.338112 + 1.11461i
\(612\) −2.60819 + 0.656338i −0.105430 + 0.0265309i
\(613\) 3.83137 38.9006i 0.154748 1.57118i −0.533561 0.845762i \(-0.679146\pi\)
0.688308 0.725418i \(-0.258354\pi\)
\(614\) 32.3891 10.7195i 1.30712 0.432603i
\(615\) 0.273027 1.37260i 0.0110095 0.0553485i
\(616\) −17.1924 17.9987i −0.692700 0.725189i
\(617\) 19.1306 3.80531i 0.770169 0.153196i 0.205661 0.978623i \(-0.434066\pi\)
0.564508 + 0.825427i \(0.309066\pi\)
\(618\) −1.69598 + 6.14149i −0.0682223 + 0.247047i
\(619\) 22.8012 42.6580i 0.916457 1.71457i 0.251231 0.967927i \(-0.419165\pi\)
0.665225 0.746643i \(-0.268335\pi\)
\(620\) 6.42836 2.30801i 0.258169 0.0926919i
\(621\) −0.0609692 0.619031i −0.00244661 0.0248409i
\(622\) −3.88329 8.74770i −0.155706 0.350751i
\(623\) −36.7671 + 15.2294i −1.47304 + 0.610154i
\(624\) −14.0119 + 11.5505i −0.560926 + 0.462389i
\(625\) −19.5238 8.08700i −0.780950 0.323480i
\(626\) 0.746118 + 29.7332i 0.0298209 + 1.18838i
\(627\) −11.1872 9.18109i −0.446773 0.366657i
\(628\) 23.3163 3.48462i 0.930422 0.139051i
\(629\) 0.436968 0.132553i 0.0174230 0.00528522i
\(630\) −2.26986 + 0.281216i −0.0904333 + 0.0112039i
\(631\) 2.38620 3.57120i 0.0949930 0.142167i −0.780929 0.624620i \(-0.785254\pi\)
0.875922 + 0.482453i \(0.160254\pi\)
\(632\) 24.5797 + 13.8712i 0.977727 + 0.551767i
\(633\) 4.38855 2.93233i 0.174429 0.116550i
\(634\) −0.0181478 + 0.247864i −0.000720741 + 0.00984395i
\(635\) 3.53099 + 4.30253i 0.140123 + 0.170741i
\(636\) −7.39060 + 20.7265i −0.293057 + 0.821860i
\(637\) 11.8787 6.34932i 0.470653 0.251569i
\(638\) 11.1555 17.6377i 0.441650 0.698282i
\(639\) −8.96767 −0.354755
\(640\) 0.687527 5.75490i 0.0271769 0.227482i
\(641\) −12.7492 −0.503563 −0.251781 0.967784i \(-0.581016\pi\)
−0.251781 + 0.967784i \(0.581016\pi\)
\(642\) 0.0382155 0.0604217i 0.00150825 0.00238465i
\(643\) 6.21912 3.32419i 0.245258 0.131093i −0.344188 0.938901i \(-0.611846\pi\)
0.589446 + 0.807807i \(0.299346\pi\)
\(644\) −3.69938 1.31912i −0.145776 0.0519804i
\(645\) −1.83732 2.23878i −0.0723443 0.0881518i
\(646\) −0.721000 + 9.84749i −0.0283674 + 0.387444i
\(647\) −23.5938 + 15.7649i −0.927567 + 0.619781i −0.924898 0.380216i \(-0.875850\pi\)
−0.00266938 + 0.999996i \(0.500850\pi\)
\(648\) 2.72473 0.758832i 0.107038 0.0298097i
\(649\) −21.1406 + 31.6392i −0.829841 + 1.24195i
\(650\) 30.1852 3.73968i 1.18396 0.146682i
\(651\) 20.1398 6.10934i 0.789340 0.239444i
\(652\) −1.92417 12.8750i −0.0753563 0.504224i
\(653\) 19.0736 + 15.6533i 0.746407 + 0.612560i 0.928764 0.370672i \(-0.120873\pi\)
−0.182357 + 0.983232i \(0.558373\pi\)
\(654\) 0.151549 + 6.03930i 0.00592603 + 0.236155i
\(655\) −1.24593 0.516083i −0.0486827 0.0201650i
\(656\) 9.64836 + 5.13015i 0.376705 + 0.200299i
\(657\) 7.06906 2.92810i 0.275790 0.114236i
\(658\) −11.4887 25.8800i −0.447875 1.00891i
\(659\) 2.41273 + 24.4969i 0.0939866 + 0.954262i 0.920342 + 0.391114i \(0.127910\pi\)
−0.826356 + 0.563148i \(0.809590\pi\)
\(660\) 0.965059 + 2.68792i 0.0375649 + 0.104627i
\(661\) −3.26950 + 6.11680i −0.127169 + 0.237916i −0.937446 0.348131i \(-0.886817\pi\)
0.810277 + 0.586047i \(0.199317\pi\)
\(662\) −10.3844 + 37.6041i −0.403601 + 1.46153i
\(663\) −5.98751 + 1.19099i −0.232536 + 0.0462542i
\(664\) −0.808998 + 35.3071i −0.0313952 + 1.37018i
\(665\) −1.63816 + 8.23560i −0.0635253 + 0.319363i
\(666\) −0.455898 + 0.150884i −0.0176657 + 0.00584663i
\(667\) 0.322775 3.27719i 0.0124979 0.126893i
\(668\) 0.812470 + 3.22863i 0.0314354 + 0.124919i
\(669\) −4.91645 + 16.2074i −0.190081 + 0.626612i
\(670\) 7.38774 5.20906i 0.285413 0.201244i
\(671\) −6.19864 6.19864i −0.239296 0.239296i
\(672\) 3.00525 17.6043i 0.115930 0.679100i
\(673\) 34.9869 34.9869i 1.34865 1.34865i 0.461510 0.887135i \(-0.347308\pi\)
0.887135 0.461510i \(-0.152692\pi\)
\(674\) −1.05394 + 6.09369i −0.0405961 + 0.234720i
\(675\) −4.53357 1.37524i −0.174497 0.0529331i
\(676\) −12.2137 + 9.07894i −0.469757 + 0.349190i
\(677\) 36.2258 + 3.56793i 1.39227 + 0.137127i 0.766181 0.642625i \(-0.222155\pi\)
0.626089 + 0.779752i \(0.284655\pi\)
\(678\) 22.4566 + 11.2884i 0.862439 + 0.433527i
\(679\) 18.9046 + 3.76036i 0.725491 + 0.144309i
\(680\) 1.11935 1.59488i 0.0429250 0.0611610i
\(681\) 5.17681 + 26.0256i 0.198376 + 0.997302i
\(682\) −12.9653 22.8580i −0.496469 0.875277i
\(683\) 34.4762 + 18.4279i 1.31919 + 0.705124i 0.972511 0.232859i \(-0.0748080\pi\)
0.346683 + 0.937982i \(0.387308\pi\)
\(684\) 0.498211 10.3719i 0.0190496 0.396581i
\(685\) 1.29063 0.127116i 0.0493126 0.00485687i
\(686\) 6.47130 16.8035i 0.247076 0.641560i
\(687\) 5.42336 + 13.0932i 0.206914 + 0.499535i
\(688\) 20.8736 8.69948i 0.795799 0.331664i
\(689\) −19.1143 + 46.1459i −0.728195 + 1.75802i
\(690\) 0.326547 + 0.310560i 0.0124314 + 0.0118228i
\(691\) 14.8207 18.0591i 0.563807 0.687000i −0.410594 0.911818i \(-0.634679\pi\)
0.974401 + 0.224818i \(0.0721787\pi\)
\(692\) −25.8310 42.9901i −0.981947 1.63424i
\(693\) 2.55453 + 8.42115i 0.0970385 + 0.319893i
\(694\) −24.4023 19.0223i −0.926297 0.722077i
\(695\) −4.70920 3.14659i −0.178630 0.119357i
\(696\) 14.9315 1.12596i 0.565977 0.0426792i
\(697\) 2.04098 + 3.05455i 0.0773078 + 0.115699i
\(698\) −20.9902 24.3067i −0.794490 0.920021i
\(699\) 15.9879 13.1209i 0.604717 0.496278i
\(700\) −20.0645 + 22.1863i −0.758366 + 0.838562i
\(701\) −7.48686 14.0069i −0.282775 0.529034i 0.699930 0.714211i \(-0.253214\pi\)
−0.982705 + 0.185177i \(0.940714\pi\)
\(702\) 6.26340 1.41008i 0.236397 0.0532200i
\(703\) 1.76300i 0.0664929i
\(704\) −22.2690 + 1.16699i −0.839293 + 0.0439826i
\(705\) 3.24891i 0.122361i
\(706\) 1.17125 + 5.20254i 0.0440804 + 0.195800i
\(707\) −7.80673 14.6054i −0.293602 0.549291i
\(708\) −27.2682 + 1.36939i −1.02480 + 0.0514647i
\(709\) −4.77677 + 3.92019i −0.179395 + 0.147226i −0.719806 0.694176i \(-0.755769\pi\)
0.540410 + 0.841402i \(0.318269\pi\)
\(710\) 4.91718 4.24626i 0.184539 0.159359i
\(711\) −5.54378 8.29686i −0.207908 0.311156i
\(712\) −11.1286 + 33.8727i −0.417064 + 1.26943i
\(713\) −3.44782 2.30376i −0.129122 0.0862764i
\(714\) 3.69125 4.73521i 0.138141 0.177211i
\(715\) 1.88179 + 6.20342i 0.0703749 + 0.231995i
\(716\) −6.34005 1.58076i −0.236939 0.0590758i
\(717\) 13.7366 16.7380i 0.513001 0.625093i
\(718\) 12.4120 13.0510i 0.463213 0.487059i
\(719\) 19.4885 47.0494i 0.726798 1.75465i 0.0738157 0.997272i \(-0.476482\pi\)
0.652982 0.757373i \(-0.273518\pi\)
\(720\) −1.13472 + 1.70627i −0.0422886 + 0.0635889i
\(721\) −5.44300 13.1406i −0.202708 0.489380i
\(722\) −10.5001 4.04378i −0.390775 0.150494i
\(723\) −0.952307 + 0.0937940i −0.0354167 + 0.00348824i
\(724\) −21.9209 + 19.9115i −0.814685 + 0.740006i
\(725\) −22.1195 11.8231i −0.821497 0.439099i
\(726\) −3.97348 + 2.25381i −0.147470 + 0.0836466i
\(727\) 6.76966 + 34.0334i 0.251073 + 1.26223i 0.876292 + 0.481780i \(0.160010\pi\)
−0.625219 + 0.780449i \(0.714990\pi\)
\(728\) 8.81715 39.5670i 0.326785 1.46645i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −2.48965 + 4.95280i −0.0921461 + 0.183311i
\(731\) 7.56590 + 0.745176i 0.279835 + 0.0275613i
\(732\) 0.916124 6.22271i 0.0338609 0.229998i
\(733\) −41.9839 12.7357i −1.55071 0.470403i −0.605221 0.796057i \(-0.706915\pi\)
−0.945489 + 0.325655i \(0.894415\pi\)
\(734\) −42.4815 7.34740i −1.56802 0.271197i
\(735\) 1.07474 1.07474i 0.0396426 0.0396426i
\(736\) −3.05685 + 1.74270i −0.112677 + 0.0642368i
\(737\) −24.5930 24.5930i −0.905893 0.905893i
\(738\) −2.22632 3.15748i −0.0819520 0.116228i
\(739\) −2.96378 + 9.77027i −0.109024 + 0.359405i −0.994428 0.105418i \(-0.966382\pi\)
0.885404 + 0.464823i \(0.153882\pi\)
\(740\) 0.178535 0.298605i 0.00656307 0.0109769i
\(741\) 2.31027 23.4566i 0.0848699 0.861699i
\(742\) −15.4343 46.6351i −0.566612 1.71203i
\(743\) 5.60811 28.1939i 0.205742 1.03433i −0.730483 0.682931i \(-0.760705\pi\)
0.936225 0.351402i \(-0.114295\pi\)
\(744\) 7.61277 17.2502i 0.279098 0.632422i
\(745\) −4.16861 + 0.829187i −0.152726 + 0.0303791i
\(746\) 41.2102 + 11.3802i 1.50881 + 0.416660i
\(747\) 5.88597 11.0119i 0.215356 0.402903i
\(748\) −6.78053 3.19792i −0.247921 0.116927i
\(749\) 0.0156434 + 0.158830i 0.000571596 + 0.00580351i
\(750\) 6.44788 2.86235i 0.235443 0.104518i
\(751\) 22.1887 9.19086i 0.809677 0.335379i 0.0608517 0.998147i \(-0.480618\pi\)
0.748825 + 0.662768i \(0.230618\pi\)
\(752\) −24.2917 7.31103i −0.885827 0.266606i
\(753\) 7.53515 + 3.12116i 0.274596 + 0.113741i
\(754\) 33.9781 0.852640i 1.23741 0.0310513i
\(755\) −9.30435 7.63588i −0.338620 0.277898i
\(756\) −3.75577 + 5.07562i −0.136596 + 0.184599i
\(757\) 45.6122 13.8363i 1.65780 0.502889i 0.683847 0.729626i \(-0.260306\pi\)
0.973956 + 0.226737i \(0.0728056\pi\)
\(758\) 1.70954 + 13.7987i 0.0620931 + 0.501190i
\(759\) 0.963281 1.44165i 0.0349649 0.0523287i
\(760\) 4.63801 + 5.92308i 0.168238 + 0.214853i
\(761\) −12.8222 + 8.56755i −0.464806 + 0.310573i −0.765830 0.643043i \(-0.777672\pi\)
0.301024 + 0.953617i \(0.402672\pi\)
\(762\) 15.3243 + 1.12200i 0.555142 + 0.0406457i
\(763\) −8.55555 10.4250i −0.309732 0.377409i
\(764\) −8.23590 + 3.90628i −0.297964 + 0.141324i
\(765\) −0.607550 + 0.324742i −0.0219660 + 0.0117411i
\(766\) −16.0397 10.1448i −0.579536 0.366545i
\(767\) −61.9732 −2.23772
\(768\) −10.2041 12.3238i −0.368209 0.444697i
\(769\) −22.5471 −0.813071 −0.406535 0.913635i \(-0.633263\pi\)
−0.406535 + 0.913635i \(0.633263\pi\)
\(770\) −5.38819 3.40792i −0.194177 0.122813i
\(771\) −25.1924 + 13.4656i −0.907284 + 0.484953i
\(772\) 48.7606 23.1271i 1.75493 0.832363i
\(773\) 19.5196 + 23.7847i 0.702071 + 0.855476i