Properties

Label 416.2.bf.a.53.3
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.3
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.40466 - 0.164109i) q^{2} +(-1.71912 + 0.712084i) q^{3} +(1.94614 + 0.461036i) q^{4} +(1.47294 - 3.55599i) q^{5} +(2.53164 - 0.718111i) q^{6} +(-1.70912 - 1.70912i) q^{7} +(-2.65800 - 0.966978i) q^{8} +(0.327000 - 0.327000i) q^{9} +O(q^{10})\) \(q+(-1.40466 - 0.164109i) q^{2} +(-1.71912 + 0.712084i) q^{3} +(1.94614 + 0.461036i) q^{4} +(1.47294 - 3.55599i) q^{5} +(2.53164 - 0.718111i) q^{6} +(-1.70912 - 1.70912i) q^{7} +(-2.65800 - 0.966978i) q^{8} +(0.327000 - 0.327000i) q^{9} +(-2.65255 + 4.75323i) q^{10} +(-1.02823 - 0.425908i) q^{11} +(-3.67394 + 0.593235i) q^{12} +(0.382683 + 0.923880i) q^{13} +(2.12024 + 2.68121i) q^{14} +7.16203i q^{15} +(3.57489 + 1.79448i) q^{16} -4.30442i q^{17} +(-0.512988 + 0.405660i) q^{18} +(2.06438 + 4.98386i) q^{19} +(4.50597 - 6.24136i) q^{20} +(4.15521 + 1.72115i) q^{21} +(1.37442 + 0.766999i) q^{22} +(-4.55365 + 4.55365i) q^{23} +(5.25800 - 0.230365i) q^{24} +(-6.93996 - 6.93996i) q^{25} +(-0.385923 - 1.36054i) q^{26} +(1.80695 - 4.36236i) q^{27} +(-2.53821 - 4.11414i) q^{28} +(-8.51484 + 3.52696i) q^{29} +(1.17536 - 10.0602i) q^{30} -4.74100 q^{31} +(-4.72702 - 3.10730i) q^{32} +2.07094 q^{33} +(-0.706396 + 6.04624i) q^{34} +(-8.59501 + 3.56017i) q^{35} +(0.787146 - 0.485628i) q^{36} +(-3.40242 + 8.21417i) q^{37} +(-2.08185 - 7.33941i) q^{38} +(-1.31576 - 1.31576i) q^{39} +(-7.35362 + 8.02751i) q^{40} +(8.40017 - 8.40017i) q^{41} +(-5.55420 - 3.09953i) q^{42} +(-10.6514 - 4.41195i) q^{43} +(-1.80472 - 1.30293i) q^{44} +(-0.681158 - 1.64446i) q^{45} +(7.14363 - 5.64903i) q^{46} -5.91320i q^{47} +(-7.42350 - 0.539303i) q^{48} -1.15785i q^{49} +(8.60936 + 10.8872i) q^{50} +(3.06511 + 7.39983i) q^{51} +(0.318813 + 1.97443i) q^{52} +(1.16825 + 0.483906i) q^{53} +(-3.25405 + 5.83110i) q^{54} +(-3.02905 + 3.02905i) q^{55} +(2.89015 + 6.19550i) q^{56} +(-7.09785 - 7.09785i) q^{57} +(12.5393 - 3.55682i) q^{58} +(-0.422803 + 1.02074i) q^{59} +(-3.30195 + 13.9383i) q^{60} +(-6.48374 + 2.68565i) q^{61} +(6.65948 + 0.778042i) q^{62} -1.11776 q^{63} +(6.12991 + 5.14045i) q^{64} +3.84897 q^{65} +(-2.90897 - 0.339861i) q^{66} +(2.94261 - 1.21887i) q^{67} +(1.98449 - 8.37699i) q^{68} +(4.58570 - 11.0709i) q^{69} +(12.6573 - 3.59030i) q^{70} +(2.62330 + 2.62330i) q^{71} +(-1.18537 + 0.552964i) q^{72} +(-1.25526 + 1.25526i) q^{73} +(6.12726 - 10.9797i) q^{74} +(16.8725 + 6.98881i) q^{75} +(1.71983 + 10.6510i) q^{76} +(1.02944 + 2.48530i) q^{77} +(1.63227 + 2.06412i) q^{78} +3.58349i q^{79} +(11.6467 - 10.0691i) q^{80} +10.1735i q^{81} +(-13.1779 + 10.4208i) q^{82} +(-1.70103 - 4.10666i) q^{83} +(7.29310 + 5.26529i) q^{84} +(-15.3065 - 6.34014i) q^{85} +(14.2375 + 7.94528i) q^{86} +(12.1266 - 12.1266i) q^{87} +(2.32120 + 2.12634i) q^{88} +(1.44355 + 1.44355i) q^{89} +(0.686923 + 2.42169i) q^{90} +(0.924967 - 2.23307i) q^{91} +(-10.9614 + 6.76263i) q^{92} +(8.15036 - 3.37599i) q^{93} +(-0.970412 + 8.30603i) q^{94} +20.7632 q^{95} +(10.3390 + 1.97580i) q^{96} -8.83314 q^{97} +(-0.190014 + 1.62638i) q^{98} +(-0.475505 + 0.196961i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40466 0.164109i −0.993244 0.116043i
\(3\) −1.71912 + 0.712084i −0.992536 + 0.411122i −0.819055 0.573715i \(-0.805502\pi\)
−0.173481 + 0.984837i \(0.555502\pi\)
\(4\) 1.94614 + 0.461036i 0.973068 + 0.230518i
\(5\) 1.47294 3.55599i 0.658718 1.59029i −0.141068 0.990000i \(-0.545054\pi\)
0.799786 0.600285i \(-0.204946\pi\)
\(6\) 2.53164 0.718111i 1.03354 0.293168i
\(7\) −1.70912 1.70912i −0.645985 0.645985i 0.306035 0.952020i \(-0.400997\pi\)
−0.952020 + 0.306035i \(0.900997\pi\)
\(8\) −2.65800 0.966978i −0.939744 0.341878i
\(9\) 0.327000 0.327000i 0.109000 0.109000i
\(10\) −2.65255 + 4.75323i −0.838809 + 1.50310i
\(11\) −1.02823 0.425908i −0.310024 0.128416i 0.222246 0.974991i \(-0.428661\pi\)
−0.532271 + 0.846574i \(0.678661\pi\)
\(12\) −3.67394 + 0.593235i −1.06058 + 0.171252i
\(13\) 0.382683 + 0.923880i 0.106137 + 0.256238i
\(14\) 2.12024 + 2.68121i 0.566659 + 0.716583i
\(15\) 7.16203i 1.84923i
\(16\) 3.57489 + 1.79448i 0.893723 + 0.448619i
\(17\) 4.30442i 1.04397i −0.852953 0.521987i \(-0.825191\pi\)
0.852953 0.521987i \(-0.174809\pi\)
\(18\) −0.512988 + 0.405660i −0.120912 + 0.0956151i
\(19\) 2.06438 + 4.98386i 0.473602 + 1.14338i 0.962560 + 0.271068i \(0.0873770\pi\)
−0.488958 + 0.872307i \(0.662623\pi\)
\(20\) 4.50597 6.24136i 1.00757 1.39561i
\(21\) 4.15521 + 1.72115i 0.906742 + 0.375585i
\(22\) 1.37442 + 0.766999i 0.293028 + 0.163525i
\(23\) −4.55365 + 4.55365i −0.949502 + 0.949502i −0.998785 0.0492830i \(-0.984306\pi\)
0.0492830 + 0.998785i \(0.484306\pi\)
\(24\) 5.25800 0.230365i 1.07328 0.0470230i
\(25\) −6.93996 6.93996i −1.38799 1.38799i
\(26\) −0.385923 1.36054i −0.0756856 0.266823i
\(27\) 1.80695 4.36236i 0.347748 0.839537i
\(28\) −2.53821 4.11414i −0.479676 0.777498i
\(29\) −8.51484 + 3.52696i −1.58117 + 0.654941i −0.988598 0.150579i \(-0.951886\pi\)
−0.592569 + 0.805520i \(0.701886\pi\)
\(30\) 1.17536 10.0602i 0.214590 1.83674i
\(31\) −4.74100 −0.851508 −0.425754 0.904839i \(-0.639991\pi\)
−0.425754 + 0.904839i \(0.639991\pi\)
\(32\) −4.72702 3.10730i −0.835626 0.549299i
\(33\) 2.07094 0.360505
\(34\) −0.706396 + 6.04624i −0.121146 + 1.03692i
\(35\) −8.59501 + 3.56017i −1.45282 + 0.601779i
\(36\) 0.787146 0.485628i 0.131191 0.0809381i
\(37\) −3.40242 + 8.21417i −0.559354 + 1.35040i 0.350924 + 0.936404i \(0.385868\pi\)
−0.910278 + 0.413997i \(0.864132\pi\)
\(38\) −2.08185 7.33941i −0.337721 1.19061i
\(39\) −1.31576 1.31576i −0.210690 0.210690i
\(40\) −7.35362 + 8.02751i −1.16271 + 1.26926i
\(41\) 8.40017 8.40017i 1.31189 1.31189i 0.391862 0.920024i \(-0.371831\pi\)
0.920024 0.391862i \(-0.128169\pi\)
\(42\) −5.55420 3.09953i −0.857032 0.478268i
\(43\) −10.6514 4.41195i −1.62432 0.672816i −0.629743 0.776804i \(-0.716840\pi\)
−0.994579 + 0.103988i \(0.966840\pi\)
\(44\) −1.80472 1.30293i −0.272072 0.196424i
\(45\) −0.681158 1.64446i −0.101541 0.245142i
\(46\) 7.14363 5.64903i 1.05327 0.832904i
\(47\) 5.91320i 0.862529i −0.902226 0.431264i \(-0.858068\pi\)
0.902226 0.431264i \(-0.141932\pi\)
\(48\) −7.42350 0.539303i −1.07149 0.0778416i
\(49\) 1.15785i 0.165407i
\(50\) 8.60936 + 10.8872i 1.21755 + 1.53968i
\(51\) 3.06511 + 7.39983i 0.429201 + 1.03618i
\(52\) 0.318813 + 1.97443i 0.0442113 + 0.273804i
\(53\) 1.16825 + 0.483906i 0.160472 + 0.0664696i 0.461473 0.887154i \(-0.347321\pi\)
−0.301002 + 0.953624i \(0.597321\pi\)
\(54\) −3.25405 + 5.83110i −0.442821 + 0.793512i
\(55\) −3.02905 + 3.02905i −0.408437 + 0.408437i
\(56\) 2.89015 + 6.19550i 0.386212 + 0.827909i
\(57\) −7.09785 7.09785i −0.940134 0.940134i
\(58\) 12.5393 3.55682i 1.64649 0.467033i
\(59\) −0.422803 + 1.02074i −0.0550443 + 0.132889i −0.949009 0.315248i \(-0.897912\pi\)
0.893965 + 0.448137i \(0.147912\pi\)
\(60\) −3.30195 + 13.9383i −0.426280 + 1.79943i
\(61\) −6.48374 + 2.68565i −0.830158 + 0.343863i −0.756965 0.653455i \(-0.773319\pi\)
−0.0731929 + 0.997318i \(0.523319\pi\)
\(62\) 6.65948 + 0.778042i 0.845755 + 0.0988115i
\(63\) −1.11776 −0.140825
\(64\) 6.12991 + 5.14045i 0.766239 + 0.642556i
\(65\) 3.84897 0.477406
\(66\) −2.90897 0.339861i −0.358069 0.0418340i
\(67\) 2.94261 1.21887i 0.359497 0.148909i −0.195622 0.980679i \(-0.562673\pi\)
0.555119 + 0.831771i \(0.312673\pi\)
\(68\) 1.98449 8.37699i 0.240655 1.01586i
\(69\) 4.58570 11.0709i 0.552054 1.33278i
\(70\) 12.6573 3.59030i 1.51284 0.429123i
\(71\) 2.62330 + 2.62330i 0.311329 + 0.311329i 0.845424 0.534095i \(-0.179348\pi\)
−0.534095 + 0.845424i \(0.679348\pi\)
\(72\) −1.18537 + 0.552964i −0.139697 + 0.0651675i
\(73\) −1.25526 + 1.25526i −0.146917 + 0.146917i −0.776739 0.629822i \(-0.783128\pi\)
0.629822 + 0.776739i \(0.283128\pi\)
\(74\) 6.12726 10.9797i 0.712280 1.27637i
\(75\) 16.8725 + 6.98881i 1.94826 + 0.806998i
\(76\) 1.71983 + 10.6510i 0.197278 + 1.22176i
\(77\) 1.02944 + 2.48530i 0.117316 + 0.283226i
\(78\) 1.63227 + 2.06412i 0.184818 + 0.233716i
\(79\) 3.58349i 0.403174i 0.979471 + 0.201587i \(0.0646099\pi\)
−0.979471 + 0.201587i \(0.935390\pi\)
\(80\) 11.6467 10.0691i 1.30214 1.12576i
\(81\) 10.1735i 1.13039i
\(82\) −13.1779 + 10.4208i −1.45526 + 1.15079i
\(83\) −1.70103 4.10666i −0.186713 0.450764i 0.802610 0.596504i \(-0.203444\pi\)
−0.989323 + 0.145739i \(0.953444\pi\)
\(84\) 7.29310 + 5.26529i 0.795743 + 0.574490i
\(85\) −15.3065 6.34014i −1.66022 0.687685i
\(86\) 14.2375 + 7.94528i 1.53527 + 0.856762i
\(87\) 12.1266 12.1266i 1.30010 1.30010i
\(88\) 2.32120 + 2.12634i 0.247441 + 0.226669i
\(89\) 1.44355 + 1.44355i 0.153016 + 0.153016i 0.779464 0.626448i \(-0.215492\pi\)
−0.626448 + 0.779464i \(0.715492\pi\)
\(90\) 0.686923 + 2.42169i 0.0724081 + 0.255269i
\(91\) 0.924967 2.23307i 0.0969629 0.234089i
\(92\) −10.9614 + 6.76263i −1.14281 + 0.705053i
\(93\) 8.15036 3.37599i 0.845153 0.350074i
\(94\) −0.970412 + 8.30603i −0.100090 + 0.856702i
\(95\) 20.7632 2.13026
\(96\) 10.3390 + 1.97580i 1.05522 + 0.201655i
\(97\) −8.83314 −0.896869 −0.448435 0.893816i \(-0.648018\pi\)
−0.448435 + 0.893816i \(0.648018\pi\)
\(98\) −0.190014 + 1.62638i −0.0191943 + 0.164289i
\(99\) −0.475505 + 0.196961i −0.0477901 + 0.0197953i
\(100\) −10.3065 16.7057i −1.03065 1.67057i
\(101\) 1.37054 3.30879i 0.136374 0.329236i −0.840908 0.541178i \(-0.817979\pi\)
0.977282 + 0.211941i \(0.0679786\pi\)
\(102\) −3.09105 10.8972i −0.306060 1.07899i
\(103\) −2.02714 2.02714i −0.199740 0.199740i 0.600149 0.799888i \(-0.295108\pi\)
−0.799888 + 0.600149i \(0.795108\pi\)
\(104\) −0.123801 2.82572i −0.0121397 0.277084i
\(105\) 12.2407 12.2407i 1.19457 1.19457i
\(106\) −1.56158 0.871444i −0.151674 0.0846421i
\(107\) −4.15610 1.72151i −0.401785 0.166425i 0.172634 0.984986i \(-0.444772\pi\)
−0.574419 + 0.818561i \(0.694772\pi\)
\(108\) 5.52778 7.65669i 0.531911 0.736765i
\(109\) 3.97137 + 9.58774i 0.380388 + 0.918339i 0.991890 + 0.127096i \(0.0405656\pi\)
−0.611502 + 0.791243i \(0.709434\pi\)
\(110\) 4.75188 3.75769i 0.453074 0.358281i
\(111\) 16.5440i 1.57028i
\(112\) −3.04294 9.17687i −0.287530 0.867133i
\(113\) 2.02986i 0.190953i −0.995432 0.0954767i \(-0.969562\pi\)
0.995432 0.0954767i \(-0.0304375\pi\)
\(114\) 8.80524 + 11.1349i 0.824686 + 1.04288i
\(115\) 9.48547 + 22.9000i 0.884525 + 2.13543i
\(116\) −18.1971 + 2.93830i −1.68956 + 0.272815i
\(117\) 0.427247 + 0.176971i 0.0394990 + 0.0163610i
\(118\) 0.761407 1.36440i 0.0700932 0.125603i
\(119\) −7.35675 + 7.35675i −0.674392 + 0.674392i
\(120\) 6.92553 19.0367i 0.632211 1.73780i
\(121\) −6.90231 6.90231i −0.627483 0.627483i
\(122\) 9.54819 2.70839i 0.864453 0.245206i
\(123\) −8.45930 + 20.4225i −0.762749 + 1.84144i
\(124\) −9.22662 2.18577i −0.828575 0.196288i
\(125\) −17.1206 + 7.09157i −1.53131 + 0.634290i
\(126\) 1.57008 + 0.183435i 0.139874 + 0.0163417i
\(127\) 8.96333 0.795367 0.397684 0.917523i \(-0.369814\pi\)
0.397684 + 0.917523i \(0.369814\pi\)
\(128\) −7.76684 8.22656i −0.686498 0.727132i
\(129\) 21.4527 1.88881
\(130\) −5.40649 0.631653i −0.474181 0.0553996i
\(131\) −1.74457 + 0.722625i −0.152424 + 0.0631360i −0.457591 0.889163i \(-0.651288\pi\)
0.305167 + 0.952299i \(0.401288\pi\)
\(132\) 4.03034 + 0.954779i 0.350796 + 0.0831028i
\(133\) 4.98972 12.0463i 0.432664 1.04454i
\(134\) −4.33340 + 1.22919i −0.374348 + 0.106186i
\(135\) −12.8510 12.8510i −1.10604 1.10604i
\(136\) −4.16228 + 11.4411i −0.356912 + 0.981069i
\(137\) 13.9486 13.9486i 1.19171 1.19171i 0.215126 0.976586i \(-0.430984\pi\)
0.976586 0.215126i \(-0.0690162\pi\)
\(138\) −8.25819 + 14.7982i −0.702984 + 1.25971i
\(139\) 1.58950 + 0.658393i 0.134820 + 0.0558442i 0.449073 0.893495i \(-0.351754\pi\)
−0.314253 + 0.949339i \(0.601754\pi\)
\(140\) −18.3684 + 2.96597i −1.55242 + 0.250670i
\(141\) 4.21070 + 10.1655i 0.354605 + 0.856091i
\(142\) −3.25434 4.11535i −0.273098 0.345353i
\(143\) 1.11295i 0.0930697i
\(144\) 1.75579 0.582197i 0.146315 0.0485164i
\(145\) 35.4737i 2.94593i
\(146\) 1.96921 1.55721i 0.162973 0.128876i
\(147\) 0.824485 + 1.99048i 0.0680024 + 0.164172i
\(148\) −10.4086 + 14.4173i −0.855582 + 1.18509i
\(149\) −5.26139 2.17934i −0.431030 0.178538i 0.156611 0.987660i \(-0.449943\pi\)
−0.587641 + 0.809122i \(0.699943\pi\)
\(150\) −22.5531 12.5858i −1.84146 1.02763i
\(151\) 11.7516 11.7516i 0.956334 0.956334i −0.0427519 0.999086i \(-0.513613\pi\)
0.999086 + 0.0427519i \(0.0136125\pi\)
\(152\) −0.667844 15.2433i −0.0541693 1.23639i
\(153\) −1.40755 1.40755i −0.113793 0.113793i
\(154\) −1.03816 3.65994i −0.0836571 0.294926i
\(155\) −6.98319 + 16.8589i −0.560903 + 1.35414i
\(156\) −1.95404 3.16726i −0.156448 0.253584i
\(157\) 0.151332 0.0626837i 0.0120776 0.00500270i −0.376636 0.926361i \(-0.622919\pi\)
0.388714 + 0.921358i \(0.372919\pi\)
\(158\) 0.588085 5.03358i 0.0467855 0.400450i
\(159\) −2.35295 −0.186601
\(160\) −18.0121 + 12.2323i −1.42398 + 0.967051i
\(161\) 15.5654 1.22673
\(162\) 1.66957 14.2903i 0.131173 1.12275i
\(163\) 16.7503 6.93821i 1.31199 0.543443i 0.386524 0.922279i \(-0.373676\pi\)
0.925464 + 0.378837i \(0.123676\pi\)
\(164\) 20.2206 12.4751i 1.57897 0.974141i
\(165\) 3.05037 7.36424i 0.237471 0.573306i
\(166\) 1.71543 + 6.04761i 0.133143 + 0.469386i
\(167\) −14.2208 14.2208i −1.10044 1.10044i −0.994357 0.106083i \(-0.966169\pi\)
−0.106083 0.994357i \(-0.533831\pi\)
\(168\) −9.38024 8.59280i −0.723701 0.662949i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) 20.4599 + 11.4177i 1.56920 + 0.875695i
\(171\) 2.30478 + 0.954670i 0.176251 + 0.0730054i
\(172\) −18.6950 13.4969i −1.42548 1.02913i
\(173\) 4.49210 + 10.8449i 0.341528 + 0.824522i 0.997562 + 0.0697905i \(0.0222331\pi\)
−0.656033 + 0.754732i \(0.727767\pi\)
\(174\) −19.0238 + 15.0436i −1.44219 + 1.14045i
\(175\) 23.7224i 1.79324i
\(176\) −2.91154 3.36772i −0.219466 0.253851i
\(177\) 2.05585i 0.154527i
\(178\) −1.79080 2.26460i −0.134226 0.169739i
\(179\) −0.769902 1.85871i −0.0575452 0.138926i 0.892492 0.451063i \(-0.148955\pi\)
−0.950037 + 0.312137i \(0.898955\pi\)
\(180\) −0.567471 3.51438i −0.0422968 0.261947i
\(181\) 15.8311 + 6.55747i 1.17672 + 0.487413i 0.883408 0.468604i \(-0.155243\pi\)
0.293311 + 0.956017i \(0.405243\pi\)
\(182\) −1.66573 + 2.98490i −0.123472 + 0.221256i
\(183\) 9.23394 9.23394i 0.682593 0.682593i
\(184\) 16.5069 7.70032i 1.21690 0.567675i
\(185\) 24.1979 + 24.1979i 1.77907 + 1.77907i
\(186\) −12.0025 + 3.40456i −0.880066 + 0.249635i
\(187\) −1.83329 + 4.42595i −0.134063 + 0.323657i
\(188\) 2.72620 11.5079i 0.198828 0.839299i
\(189\) −10.5441 + 4.36750i −0.766968 + 0.317689i
\(190\) −29.1653 3.40744i −2.11587 0.247202i
\(191\) −6.79528 −0.491690 −0.245845 0.969309i \(-0.579065\pi\)
−0.245845 + 0.969309i \(0.579065\pi\)
\(192\) −14.1985 4.47205i −1.02469 0.322743i
\(193\) −11.0760 −0.797270 −0.398635 0.917110i \(-0.630516\pi\)
−0.398635 + 0.917110i \(0.630516\pi\)
\(194\) 12.4076 + 1.44960i 0.890810 + 0.104075i
\(195\) −6.61686 + 2.74079i −0.473843 + 0.196272i
\(196\) 0.533809 2.25333i 0.0381292 0.160952i
\(197\) −6.62366 + 15.9909i −0.471916 + 1.13931i 0.491399 + 0.870935i \(0.336486\pi\)
−0.963315 + 0.268372i \(0.913514\pi\)
\(198\) 0.700246 0.198628i 0.0497643 0.0141159i
\(199\) −3.46024 3.46024i −0.245290 0.245290i 0.573744 0.819034i \(-0.305490\pi\)
−0.819034 + 0.573744i \(0.805490\pi\)
\(200\) 11.7356 + 25.1572i 0.829833 + 1.77888i
\(201\) −4.19078 + 4.19078i −0.295594 + 0.295594i
\(202\) −2.46815 + 4.42280i −0.173658 + 0.311187i
\(203\) 20.5808 + 8.52486i 1.44449 + 0.598328i
\(204\) 2.55353 + 15.8142i 0.178783 + 1.10722i
\(205\) −17.4980 42.2438i −1.22211 2.95043i
\(206\) 2.51476 + 3.18011i 0.175212 + 0.221569i
\(207\) 2.97809i 0.206992i
\(208\) −0.289828 + 3.98949i −0.0200960 + 0.276621i
\(209\) 6.00381i 0.415292i
\(210\) −19.2029 + 15.1853i −1.32513 + 1.04788i
\(211\) −10.2857 24.8318i −0.708094 1.70949i −0.704709 0.709496i \(-0.748923\pi\)
−0.00338505 0.999994i \(-0.501077\pi\)
\(212\) 2.05048 + 1.48035i 0.140827 + 0.101671i
\(213\) −6.37779 2.64177i −0.436999 0.181011i
\(214\) 5.55539 + 3.10019i 0.379759 + 0.211925i
\(215\) −31.3777 + 31.3777i −2.13994 + 2.13994i
\(216\) −9.02118 + 9.84787i −0.613813 + 0.670063i
\(217\) 8.10291 + 8.10291i 0.550061 + 0.550061i
\(218\) −4.00499 14.1192i −0.271252 0.956276i
\(219\) 1.26409 3.05179i 0.0854195 0.206221i
\(220\) −7.29144 + 4.49844i −0.491589 + 0.303285i
\(221\) 3.97676 1.64723i 0.267506 0.110805i
\(222\) −2.71502 + 23.2387i −0.182220 + 1.55968i
\(223\) 1.29866 0.0869649 0.0434825 0.999054i \(-0.486155\pi\)
0.0434825 + 0.999054i \(0.486155\pi\)
\(224\) 2.76828 + 13.3898i 0.184963 + 0.894641i
\(225\) −4.53874 −0.302582
\(226\) −0.333119 + 2.85126i −0.0221588 + 0.189663i
\(227\) 11.0999 4.59773i 0.736726 0.305162i 0.0174136 0.999848i \(-0.494457\pi\)
0.719313 + 0.694686i \(0.244457\pi\)
\(228\) −10.5410 17.0858i −0.698096 1.13153i
\(229\) 0.246834 0.595909i 0.0163112 0.0393788i −0.915514 0.402286i \(-0.868216\pi\)
0.931825 + 0.362907i \(0.118216\pi\)
\(230\) −9.56576 33.7233i −0.630748 2.22365i
\(231\) −3.53948 3.53948i −0.232881 0.232881i
\(232\) 26.0429 1.14100i 1.70980 0.0749103i
\(233\) 5.41771 5.41771i 0.354926 0.354926i −0.507013 0.861939i \(-0.669250\pi\)
0.861939 + 0.507013i \(0.169250\pi\)
\(234\) −0.571093 0.318700i −0.0373335 0.0208341i
\(235\) −21.0273 8.70977i −1.37167 0.568163i
\(236\) −1.29343 + 1.79157i −0.0841951 + 0.116621i
\(237\) −2.55175 6.16046i −0.165754 0.400165i
\(238\) 11.5410 9.12642i 0.748094 0.591578i
\(239\) 26.0810i 1.68704i −0.537100 0.843519i \(-0.680480\pi\)
0.537100 0.843519i \(-0.319520\pi\)
\(240\) −12.8521 + 25.6035i −0.829600 + 1.65270i
\(241\) 25.4468i 1.63917i −0.572955 0.819587i \(-0.694203\pi\)
0.572955 0.819587i \(-0.305797\pi\)
\(242\) 8.56266 + 10.8281i 0.550428 + 0.696058i
\(243\) −1.82353 4.40239i −0.116979 0.282413i
\(244\) −13.8564 + 2.23741i −0.887067 + 0.143236i
\(245\) −4.11729 1.70544i −0.263044 0.108956i
\(246\) 15.2340 27.2985i 0.971282 1.74049i
\(247\) −3.81448 + 3.81448i −0.242710 + 0.242710i
\(248\) 12.6016 + 4.58444i 0.800200 + 0.291112i
\(249\) 5.84857 + 5.84857i 0.370638 + 0.370638i
\(250\) 25.2124 7.15160i 1.59457 0.452307i
\(251\) 1.82222 4.39924i 0.115018 0.277677i −0.855879 0.517176i \(-0.826983\pi\)
0.970897 + 0.239499i \(0.0769832\pi\)
\(252\) −2.17532 0.515329i −0.137032 0.0324627i
\(253\) 6.62166 2.74278i 0.416300 0.172437i
\(254\) −12.5904 1.47097i −0.789994 0.0922967i
\(255\) 30.8284 1.93055
\(256\) 9.55971 + 12.8301i 0.597482 + 0.801883i
\(257\) −12.1526 −0.758058 −0.379029 0.925385i \(-0.623742\pi\)
−0.379029 + 0.925385i \(0.623742\pi\)
\(258\) −30.1338 3.52060i −1.87605 0.219183i
\(259\) 19.8541 8.22383i 1.23367 0.511004i
\(260\) 7.49062 + 1.77451i 0.464549 + 0.110051i
\(261\) −1.63104 + 3.93768i −0.100959 + 0.243736i
\(262\) 2.56912 0.728742i 0.158721 0.0450218i
\(263\) −9.41772 9.41772i −0.580721 0.580721i 0.354380 0.935101i \(-0.384692\pi\)
−0.935101 + 0.354380i \(0.884692\pi\)
\(264\) −5.50456 2.00256i −0.338782 0.123249i
\(265\) 3.44152 3.44152i 0.211411 0.211411i
\(266\) −8.98577 + 16.1020i −0.550953 + 0.987279i
\(267\) −3.50957 1.45371i −0.214782 0.0889657i
\(268\) 6.28867 1.01544i 0.384141 0.0620277i
\(269\) −7.66177 18.4972i −0.467147 1.12779i −0.965403 0.260762i \(-0.916026\pi\)
0.498256 0.867030i \(-0.333974\pi\)
\(270\) 15.9423 + 20.1602i 0.970216 + 1.22691i
\(271\) 1.42738i 0.0867074i 0.999060 + 0.0433537i \(0.0138042\pi\)
−0.999060 + 0.0433537i \(0.986196\pi\)
\(272\) 7.72418 15.3878i 0.468347 0.933024i
\(273\) 4.49757i 0.272205i
\(274\) −21.8822 + 17.3040i −1.32195 + 1.04537i
\(275\) 4.18011 + 10.0917i 0.252070 + 0.608551i
\(276\) 14.0285 19.4312i 0.844415 1.16962i
\(277\) 1.21115 + 0.501676i 0.0727712 + 0.0301428i 0.418772 0.908091i \(-0.362461\pi\)
−0.346001 + 0.938234i \(0.612461\pi\)
\(278\) −2.12466 1.18567i −0.127429 0.0711118i
\(279\) −1.55031 + 1.55031i −0.0928145 + 0.0928145i
\(280\) 26.2881 1.15174i 1.57102 0.0688298i
\(281\) −9.32591 9.32591i −0.556337 0.556337i 0.371926 0.928263i \(-0.378698\pi\)
−0.928263 + 0.371926i \(0.878698\pi\)
\(282\) −4.24634 14.9701i −0.252866 0.891457i
\(283\) −3.24399 + 7.83169i −0.192835 + 0.465546i −0.990493 0.137565i \(-0.956072\pi\)
0.797657 + 0.603111i \(0.206072\pi\)
\(284\) 3.89587 + 6.31474i 0.231177 + 0.374711i
\(285\) −35.6946 + 14.7852i −2.11436 + 0.875798i
\(286\) −0.182646 + 1.56332i −0.0108001 + 0.0924410i
\(287\) −28.7137 −1.69492
\(288\) −2.56183 + 0.529647i −0.150957 + 0.0312097i
\(289\) −1.52802 −0.0898837
\(290\) 5.82156 49.8284i 0.341854 2.92603i
\(291\) 15.1853 6.28994i 0.890175 0.368723i
\(292\) −3.02162 + 1.86418i −0.176827 + 0.109093i
\(293\) −7.87954 + 19.0229i −0.460327 + 1.11133i 0.507936 + 0.861395i \(0.330409\pi\)
−0.968263 + 0.249934i \(0.919591\pi\)
\(294\) −0.831464 2.93126i −0.0484920 0.170954i
\(295\) 3.00697 + 3.00697i 0.175072 + 0.175072i
\(296\) 16.9865 18.5432i 0.987323 1.07780i
\(297\) −3.71593 + 3.71593i −0.215620 + 0.215620i
\(298\) 7.03281 + 3.92467i 0.407400 + 0.227350i
\(299\) −5.94963 2.46442i −0.344076 0.142521i
\(300\) 29.6140 + 21.3800i 1.70977 + 1.23437i
\(301\) 10.6639 + 25.7450i 0.614658 + 1.48392i
\(302\) −18.4356 + 14.5785i −1.06085 + 0.838897i
\(303\) 6.66415i 0.382846i
\(304\) −1.56348 + 21.5212i −0.0896715 + 1.23433i
\(305\) 27.0119i 1.54670i
\(306\) 1.74613 + 2.20812i 0.0998197 + 0.126230i
\(307\) −12.6968 30.6529i −0.724646 1.74945i −0.659659 0.751565i \(-0.729299\pi\)
−0.0649878 0.997886i \(-0.520701\pi\)
\(308\) 0.857627 + 5.31134i 0.0488678 + 0.302641i
\(309\) 4.92839 + 2.04141i 0.280366 + 0.116132i
\(310\) 12.5757 22.5350i 0.714252 1.27990i
\(311\) −12.1470 + 12.1470i −0.688795 + 0.688795i −0.961966 0.273171i \(-0.911928\pi\)
0.273171 + 0.961966i \(0.411928\pi\)
\(312\) 2.22498 + 4.76960i 0.125965 + 0.270025i
\(313\) 12.6555 + 12.6555i 0.715332 + 0.715332i 0.967646 0.252314i \(-0.0811914\pi\)
−0.252314 + 0.967646i \(0.581191\pi\)
\(314\) −0.222857 + 0.0632142i −0.0125765 + 0.00356739i
\(315\) −1.64640 + 3.97475i −0.0927639 + 0.223952i
\(316\) −1.65212 + 6.97396i −0.0929388 + 0.392316i
\(317\) 1.50822 0.624725i 0.0847100 0.0350880i −0.339926 0.940452i \(-0.610402\pi\)
0.424636 + 0.905364i \(0.360402\pi\)
\(318\) 3.30509 + 0.386141i 0.185340 + 0.0216537i
\(319\) 10.2574 0.574305
\(320\) 27.3083 14.2263i 1.52658 0.795275i
\(321\) 8.37071 0.467207
\(322\) −21.8641 2.55443i −1.21844 0.142353i
\(323\) 21.4526 8.88596i 1.19366 0.494428i
\(324\) −4.69034 + 19.7990i −0.260575 + 1.09994i
\(325\) 3.75588 9.06749i 0.208339 0.502974i
\(326\) −24.6671 + 6.99694i −1.36619 + 0.387525i
\(327\) −13.6546 13.6546i −0.755098 0.755098i
\(328\) −30.4504 + 14.2049i −1.68134 + 0.784332i
\(329\) −10.1063 + 10.1063i −0.557181 + 0.557181i
\(330\) −5.49327 + 9.84366i −0.302395 + 0.541876i
\(331\) 26.9975 + 11.1827i 1.48392 + 0.614658i 0.969983 0.243173i \(-0.0781882\pi\)
0.513932 + 0.857831i \(0.328188\pi\)
\(332\) −1.41713 8.77635i −0.0777749 0.481665i
\(333\) 1.57344 + 3.79863i 0.0862242 + 0.208164i
\(334\) 17.6416 + 22.3092i 0.965307 + 1.22070i
\(335\) 12.2592i 0.669792i
\(336\) 11.7659 + 13.6093i 0.641882 + 0.742451i
\(337\) 2.62640i 0.143069i −0.997438 0.0715344i \(-0.977210\pi\)
0.997438 0.0715344i \(-0.0227896\pi\)
\(338\) 1.10929 0.877201i 0.0603373 0.0477135i
\(339\) 1.44543 + 3.48958i 0.0785051 + 0.189528i
\(340\) −26.8654 19.3956i −1.45698 1.05187i
\(341\) 4.87485 + 2.01923i 0.263988 + 0.109347i
\(342\) −3.08076 1.71922i −0.166588 0.0929649i
\(343\) −13.9427 + 13.9427i −0.752835 + 0.752835i
\(344\) 24.0451 + 22.0266i 1.29643 + 1.18760i
\(345\) −32.6134 32.6134i −1.75585 1.75585i
\(346\) −4.53013 15.9706i −0.243541 0.858584i
\(347\) −2.88936 + 6.97554i −0.155109 + 0.374467i −0.982263 0.187509i \(-0.939959\pi\)
0.827154 + 0.561976i \(0.189959\pi\)
\(348\) 29.1907 18.0092i 1.56479 0.965393i
\(349\) 28.7845 11.9229i 1.54080 0.638220i 0.559176 0.829049i \(-0.311118\pi\)
0.981623 + 0.190829i \(0.0611176\pi\)
\(350\) 3.89307 33.3219i 0.208093 1.78113i
\(351\) 4.72179 0.252030
\(352\) 3.53705 + 5.20831i 0.188525 + 0.277604i
\(353\) −9.30728 −0.495376 −0.247688 0.968840i \(-0.579671\pi\)
−0.247688 + 0.968840i \(0.579671\pi\)
\(354\) −0.337384 + 2.88776i −0.0179317 + 0.153483i
\(355\) 13.1924 5.46446i 0.700179 0.290024i
\(356\) 2.14382 + 3.47487i 0.113622 + 0.184168i
\(357\) 7.40853 17.8858i 0.392101 0.946616i
\(358\) 0.776418 + 2.73720i 0.0410350 + 0.144665i
\(359\) −11.3744 11.3744i −0.600318 0.600318i 0.340079 0.940397i \(-0.389546\pi\)
−0.940397 + 0.340079i \(0.889546\pi\)
\(360\) 0.220360 + 5.02964i 0.0116140 + 0.265085i
\(361\) −7.14214 + 7.14214i −0.375902 + 0.375902i
\(362\) −21.1612 11.8091i −1.11221 0.620670i
\(363\) 16.7809 + 6.95089i 0.880771 + 0.364827i
\(364\) 2.82963 3.91941i 0.148313 0.205433i
\(365\) 2.61476 + 6.31259i 0.136863 + 0.330416i
\(366\) −14.4859 + 11.4552i −0.757191 + 0.598771i
\(367\) 5.12123i 0.267326i 0.991027 + 0.133663i \(0.0426740\pi\)
−0.991027 + 0.133663i \(0.957326\pi\)
\(368\) −24.4502 + 8.10739i −1.27456 + 0.422627i
\(369\) 5.49372i 0.285991i
\(370\) −30.0187 37.9609i −1.56060 1.97350i
\(371\) −1.16963 2.82373i −0.0607240 0.146601i
\(372\) 17.4182 2.81253i 0.903089 0.145823i
\(373\) 20.7068 + 8.57703i 1.07216 + 0.444102i 0.847751 0.530394i \(-0.177956\pi\)
0.224406 + 0.974496i \(0.427956\pi\)
\(374\) 3.30149 5.91609i 0.170716 0.305914i
\(375\) 24.3826 24.3826i 1.25911 1.25911i
\(376\) −5.71793 + 15.7173i −0.294880 + 0.810557i
\(377\) −6.51698 6.51698i −0.335642 0.335642i
\(378\) 15.5276 4.40446i 0.798652 0.226541i
\(379\) −6.26724 + 15.1305i −0.321927 + 0.777200i 0.677215 + 0.735785i \(0.263186\pi\)
−0.999142 + 0.0414148i \(0.986814\pi\)
\(380\) 40.4081 + 9.57259i 2.07289 + 0.491064i
\(381\) −15.4091 + 6.38265i −0.789431 + 0.326993i
\(382\) 9.54506 + 1.11517i 0.488368 + 0.0570571i
\(383\) 26.1393 1.33565 0.667827 0.744317i \(-0.267225\pi\)
0.667827 + 0.744317i \(0.267225\pi\)
\(384\) 19.2102 + 8.61182i 0.980314 + 0.439470i
\(385\) 10.3540 0.527688
\(386\) 15.5581 + 1.81768i 0.791884 + 0.0925176i
\(387\) −4.92572 + 2.04030i −0.250388 + 0.103714i
\(388\) −17.1905 4.07239i −0.872715 0.206744i
\(389\) −6.73588 + 16.2619i −0.341523 + 0.824509i 0.656039 + 0.754727i \(0.272230\pi\)
−0.997562 + 0.0697823i \(0.977770\pi\)
\(390\) 9.74422 2.76399i 0.493418 0.139960i
\(391\) 19.6008 + 19.6008i 0.991256 + 0.991256i
\(392\) −1.11961 + 3.07756i −0.0565490 + 0.155440i
\(393\) 2.48456 2.48456i 0.125330 0.125330i
\(394\) 11.9283 21.3748i 0.600937 1.07685i
\(395\) 12.7428 + 5.27826i 0.641162 + 0.265578i
\(396\) −1.01620 + 0.164087i −0.0510662 + 0.00824570i
\(397\) 4.24937 + 10.2589i 0.213270 + 0.514879i 0.993922 0.110087i \(-0.0351128\pi\)
−0.780652 + 0.624966i \(0.785113\pi\)
\(398\) 4.29260 + 5.42832i 0.215169 + 0.272097i
\(399\) 24.2621i 1.21462i
\(400\) −12.3560 37.2632i −0.617800 1.86316i
\(401\) 12.6281i 0.630615i 0.948990 + 0.315307i \(0.102108\pi\)
−0.948990 + 0.315307i \(0.897892\pi\)
\(402\) 6.57436 5.19887i 0.327899 0.259296i
\(403\) −1.81430 4.38011i −0.0903768 0.218189i
\(404\) 4.19273 5.80748i 0.208596 0.288933i
\(405\) 36.1768 + 14.9849i 1.79764 + 0.744606i
\(406\) −27.5101 15.3520i −1.36530 0.761909i
\(407\) 6.99697 6.99697i 0.346827 0.346827i
\(408\) −0.991586 22.6326i −0.0490908 1.12048i
\(409\) −19.1909 19.1909i −0.948927 0.948927i 0.0498307 0.998758i \(-0.484132\pi\)
−0.998758 + 0.0498307i \(0.984132\pi\)
\(410\) 17.6461 + 62.2097i 0.871477 + 3.07232i
\(411\) −14.0468 + 33.9120i −0.692878 + 1.67276i
\(412\) −3.01050 4.87967i −0.148317 0.240404i
\(413\) 2.46718 1.02194i 0.121402 0.0502863i
\(414\) 0.488733 4.18320i 0.0240199 0.205593i
\(415\) −17.1087 −0.839835
\(416\) 1.06182 5.55631i 0.0520601 0.272420i
\(417\) −3.20138 −0.156772
\(418\) −0.985282 + 8.43331i −0.0481917 + 0.412486i
\(419\) 8.07761 3.34586i 0.394617 0.163456i −0.176546 0.984292i \(-0.556492\pi\)
0.571163 + 0.820837i \(0.306492\pi\)
\(420\) 29.4656 18.1787i 1.43777 0.887031i
\(421\) 9.84017 23.7563i 0.479580 1.15781i −0.480226 0.877145i \(-0.659445\pi\)
0.959806 0.280664i \(-0.0905548\pi\)
\(422\) 10.3727 + 36.5682i 0.504936 + 1.78011i
\(423\) −1.93362 1.93362i −0.0940158 0.0940158i
\(424\) −2.63729 2.41589i −0.128078 0.117326i
\(425\) −29.8725 + 29.8725i −1.44903 + 1.44903i
\(426\) 8.52509 + 4.75744i 0.413042 + 0.230499i
\(427\) 15.6716 + 6.49137i 0.758400 + 0.314140i
\(428\) −7.29466 5.26641i −0.352601 0.254561i
\(429\) 0.792516 + 1.91330i 0.0382630 + 0.0923751i
\(430\) 49.2243 38.9256i 2.37381 1.87716i
\(431\) 8.72539i 0.420287i −0.977671 0.210144i \(-0.932607\pi\)
0.977671 0.210144i \(-0.0673932\pi\)
\(432\) 14.2878 12.3524i 0.687423 0.594307i
\(433\) 34.1791i 1.64254i 0.570539 + 0.821271i \(0.306734\pi\)
−0.570539 + 0.821271i \(0.693266\pi\)
\(434\) −10.0521 12.7116i −0.482515 0.610176i
\(435\) −25.2602 60.9836i −1.21114 2.92394i
\(436\) 3.30854 + 20.4900i 0.158450 + 0.981292i
\(437\) −32.0952 13.2943i −1.53532 0.635951i
\(438\) −2.27645 + 4.07928i −0.108773 + 0.194915i
\(439\) 18.4989 18.4989i 0.882904 0.882904i −0.110925 0.993829i \(-0.535381\pi\)
0.993829 + 0.110925i \(0.0353812\pi\)
\(440\) 10.9802 5.12218i 0.523462 0.244190i
\(441\) −0.378617 0.378617i −0.0180294 0.0180294i
\(442\) −5.85633 + 1.66117i −0.278557 + 0.0790139i
\(443\) −0.979017 + 2.36356i −0.0465145 + 0.112296i −0.945429 0.325828i \(-0.894357\pi\)
0.898915 + 0.438124i \(0.144357\pi\)
\(444\) 7.62737 32.1968i 0.361979 1.52799i
\(445\) 7.25950 3.00698i 0.344133 0.142545i
\(446\) −1.82418 0.213123i −0.0863774 0.0100917i
\(447\) 10.5969 0.501214
\(448\) −1.69110 19.2623i −0.0798970 0.910060i
\(449\) −1.05479 −0.0497786 −0.0248893 0.999690i \(-0.507923\pi\)
−0.0248893 + 0.999690i \(0.507923\pi\)
\(450\) 6.37538 + 0.744850i 0.300538 + 0.0351125i
\(451\) −12.2150 + 5.05963i −0.575184 + 0.238249i
\(452\) 0.935839 3.95039i 0.0440182 0.185811i
\(453\) −11.8343 + 28.5706i −0.556026 + 1.34237i
\(454\) −16.3461 + 4.63665i −0.767161 + 0.217609i
\(455\) −6.57834 6.57834i −0.308397 0.308397i
\(456\) 12.0026 + 25.7295i 0.562074 + 1.20490i
\(457\) 5.34460 5.34460i 0.250010 0.250010i −0.570965 0.820975i \(-0.693431\pi\)
0.820975 + 0.570965i \(0.193431\pi\)
\(458\) −0.444512 + 0.796542i −0.0207707 + 0.0372200i
\(459\) −18.7774 7.77787i −0.876456 0.363040i
\(460\) 7.90232 + 48.9396i 0.368448 + 2.28182i
\(461\) −2.06034 4.97411i −0.0959598 0.231667i 0.868609 0.495497i \(-0.165014\pi\)
−0.964569 + 0.263830i \(0.915014\pi\)
\(462\) 4.39090 + 5.55263i 0.204283 + 0.258332i
\(463\) 11.4531i 0.532273i 0.963935 + 0.266136i \(0.0857472\pi\)
−0.963935 + 0.266136i \(0.914253\pi\)
\(464\) −36.7687 2.67118i −1.70694 0.124006i
\(465\) 33.9552i 1.57463i
\(466\) −8.49913 + 6.72094i −0.393715 + 0.311341i
\(467\) −14.2974 34.5169i −0.661603 1.59725i −0.795291 0.606228i \(-0.792682\pi\)
0.133688 0.991023i \(-0.457318\pi\)
\(468\) 0.749890 + 0.541386i 0.0346637 + 0.0250256i
\(469\) −7.11245 2.94607i −0.328423 0.136037i
\(470\) 28.1068 + 15.6850i 1.29647 + 0.723497i
\(471\) −0.215522 + 0.215522i −0.00993073 + 0.00993073i
\(472\) 2.11084 2.30428i 0.0971593 0.106063i
\(473\) 9.07303 + 9.07303i 0.417178 + 0.417178i
\(474\) 2.57334 + 9.07211i 0.118198 + 0.416696i
\(475\) 20.2610 48.9145i 0.929640 2.24435i
\(476\) −17.7090 + 10.9255i −0.811689 + 0.500770i
\(477\) 0.540256 0.223781i 0.0247366 0.0102462i
\(478\) −4.28013 + 36.6349i −0.195769 + 1.67564i
\(479\) −29.5369 −1.34958 −0.674789 0.738011i \(-0.735765\pi\)
−0.674789 + 0.738011i \(0.735765\pi\)
\(480\) 22.2546 33.8550i 1.01578 1.54526i
\(481\) −8.89095 −0.405393
\(482\) −4.17606 + 35.7441i −0.190214 + 1.62810i
\(483\) −26.7589 + 11.0839i −1.21757 + 0.504335i
\(484\) −10.2506 16.6150i −0.465937 0.755229i
\(485\) −13.0107 + 31.4105i −0.590784 + 1.42628i
\(486\) 1.83896 + 6.48311i 0.0834170 + 0.294080i
\(487\) 21.6413 + 21.6413i 0.980661 + 0.980661i 0.999817 0.0191551i \(-0.00609763\pi\)
−0.0191551 + 0.999817i \(0.506098\pi\)
\(488\) 19.8307 0.868830i 0.897696 0.0393301i
\(489\) −23.8553 + 23.8553i −1.07877 + 1.07877i
\(490\) 5.50351 + 3.07125i 0.248623 + 0.138745i
\(491\) −36.6950 15.1996i −1.65602 0.685947i −0.658259 0.752792i \(-0.728707\pi\)
−0.997763 + 0.0668450i \(0.978707\pi\)
\(492\) −25.8785 + 35.8450i −1.16669 + 1.61602i
\(493\) 15.1815 + 36.6515i 0.683742 + 1.65070i
\(494\) 5.98404 4.73205i 0.269235 0.212905i
\(495\) 1.98100i 0.0890393i
\(496\) −16.9485 8.50761i −0.761012 0.382003i
\(497\) 8.96705i 0.402227i
\(498\) −7.25545 9.17506i −0.325124 0.411144i
\(499\) −2.51735 6.07743i −0.112692 0.272063i 0.857464 0.514544i \(-0.172039\pi\)
−0.970156 + 0.242481i \(0.922039\pi\)
\(500\) −36.5884 + 5.90797i −1.63628 + 0.264212i
\(501\) 34.5738 + 14.3209i 1.54464 + 0.639812i
\(502\) −3.28156 + 5.88038i −0.146463 + 0.262454i
\(503\) −0.484062 + 0.484062i −0.0215833 + 0.0215833i −0.717816 0.696233i \(-0.754858\pi\)
0.696233 + 0.717816i \(0.254858\pi\)
\(504\) 2.97101 + 1.08085i 0.132339 + 0.0481450i
\(505\) −9.74727 9.74727i −0.433748 0.433748i
\(506\) −9.75129 + 2.76599i −0.433498 + 0.122963i
\(507\) 0.712084 1.71912i 0.0316248 0.0763489i
\(508\) 17.4439 + 4.13242i 0.773947 + 0.183346i
\(509\) −6.03847 + 2.50121i −0.267650 + 0.110864i −0.512473 0.858704i \(-0.671270\pi\)
0.244822 + 0.969568i \(0.421270\pi\)
\(510\) −43.3034 5.05923i −1.91751 0.224026i
\(511\) 4.29076 0.189812
\(512\) −11.3226 19.5908i −0.500392 0.865799i
\(513\) 25.4716 1.12460
\(514\) 17.0703 + 1.99436i 0.752937 + 0.0879673i
\(515\) −10.1943 + 4.22262i −0.449215 + 0.186071i
\(516\) 41.7499 + 9.89047i 1.83794 + 0.435404i
\(517\) −2.51848 + 6.08015i −0.110763 + 0.267405i
\(518\) −29.2378 + 8.29344i −1.28464 + 0.364393i
\(519\) −15.4450 15.4450i −0.677959 0.677959i
\(520\) −10.2306 3.72187i −0.448640 0.163215i
\(521\) 22.1589 22.1589i 0.970801 0.970801i −0.0287851 0.999586i \(-0.509164\pi\)
0.999586 + 0.0287851i \(0.00916385\pi\)
\(522\) 2.93726 5.26343i 0.128561 0.230374i
\(523\) −11.2156 4.64567i −0.490425 0.203141i 0.123745 0.992314i \(-0.460509\pi\)
−0.614171 + 0.789173i \(0.710509\pi\)
\(524\) −3.72833 + 0.602017i −0.162873 + 0.0262992i
\(525\) −16.8923 40.7817i −0.737241 1.77986i
\(526\) 11.6832 + 14.7742i 0.509410 + 0.644187i
\(527\) 20.4072i 0.888953i
\(528\) 7.40340 + 3.71626i 0.322192 + 0.161729i
\(529\) 18.4715i 0.803107i
\(530\) −5.39896 + 4.26938i −0.234516 + 0.185450i
\(531\) 0.195525 + 0.472039i 0.00848505 + 0.0204847i
\(532\) 15.2644 21.1432i 0.661797 0.916675i
\(533\) 10.9753 + 4.54614i 0.475395 + 0.196915i
\(534\) 4.69118 + 2.61792i 0.203007 + 0.113289i
\(535\) −12.2433 + 12.2433i −0.529326 + 0.529326i
\(536\) −9.00008 + 0.394314i −0.388744 + 0.0170318i
\(537\) 2.64711 + 2.64711i 0.114231 + 0.114231i
\(538\) 7.72662 + 27.2396i 0.333118 + 1.17438i
\(539\) −0.493137 + 1.19054i −0.0212409 + 0.0512801i
\(540\) −19.0850 30.9345i −0.821287 1.33121i
\(541\) −34.4096 + 14.2529i −1.47938 + 0.612781i −0.968977 0.247152i \(-0.920505\pi\)
−0.510407 + 0.859933i \(0.670505\pi\)
\(542\) 0.234247 2.00499i 0.0100618 0.0861216i
\(543\) −31.8852 −1.36832
\(544\) −13.3751 + 20.3471i −0.573454 + 0.872373i
\(545\) 39.9434 1.71099
\(546\) 0.738094 6.31756i 0.0315875 0.270366i
\(547\) −24.3257 + 10.0761i −1.04009 + 0.430821i −0.836346 0.548202i \(-0.815312\pi\)
−0.203748 + 0.979023i \(0.565312\pi\)
\(548\) 33.5768 20.7151i 1.43433 0.884906i
\(549\) −1.24198 + 2.99840i −0.0530063 + 0.127968i
\(550\) −4.21549 14.8614i −0.179749 0.633691i
\(551\) −35.1558 35.1558i −1.49769 1.49769i
\(552\) −22.8941 + 24.9921i −0.974437 + 1.06373i
\(553\) 6.12460 6.12460i 0.260444 0.260444i
\(554\) −1.61893 0.903446i −0.0687817 0.0383838i
\(555\) −58.8301 24.3682i −2.49720 1.03437i
\(556\) 2.78985 + 2.01414i 0.118316 + 0.0854186i
\(557\) −13.5475 32.7065i −0.574025 1.38582i −0.898102 0.439788i \(-0.855054\pi\)
0.324076 0.946031i \(-0.394946\pi\)
\(558\) 2.43207 1.92323i 0.102958 0.0814170i
\(559\) 11.5290i 0.487624i
\(560\) −37.1149 2.69632i −1.56839 0.113940i
\(561\) 8.91421i 0.376358i
\(562\) 11.5693 + 14.6302i 0.488020 + 0.617137i
\(563\) 8.08370 + 19.5158i 0.340687 + 0.822492i 0.997647 + 0.0685660i \(0.0218424\pi\)
−0.656959 + 0.753926i \(0.728158\pi\)
\(564\) 3.50792 + 21.7248i 0.147710 + 0.914778i
\(565\) −7.21816 2.98986i −0.303670 0.125784i
\(566\) 5.84196 10.4685i 0.245556 0.440023i
\(567\) 17.3877 17.3877i 0.730213 0.730213i
\(568\) −4.43606 9.50941i −0.186133 0.399006i
\(569\) −10.5932 10.5932i −0.444089 0.444089i 0.449294 0.893384i \(-0.351675\pi\)
−0.893384 + 0.449294i \(0.851675\pi\)
\(570\) 52.5651 14.9103i 2.20171 0.624524i
\(571\) −15.9412 + 38.4855i −0.667119 + 1.61057i 0.119289 + 0.992860i \(0.461938\pi\)
−0.786408 + 0.617707i \(0.788062\pi\)
\(572\) 0.513111 2.16596i 0.0214542 0.0905632i
\(573\) 11.6819 4.83881i 0.488020 0.202144i
\(574\) 40.3330 + 4.71219i 1.68347 + 0.196683i
\(575\) 63.2043 2.63580
\(576\) 3.68541 0.323554i 0.153559 0.0134814i
\(577\) −21.8039 −0.907707 −0.453854 0.891076i \(-0.649951\pi\)
−0.453854 + 0.891076i \(0.649951\pi\)
\(578\) 2.14635 + 0.250763i 0.0892764 + 0.0104304i
\(579\) 19.0411 7.88707i 0.791320 0.327775i
\(580\) −16.3546 + 69.0366i −0.679089 + 2.86659i
\(581\) −4.11149 + 9.92602i −0.170573 + 0.411801i
\(582\) −22.3623 + 6.34318i −0.926949 + 0.262933i
\(583\) −0.995136 0.995136i −0.0412143 0.0412143i
\(584\) 4.55028 2.12267i 0.188292 0.0878366i
\(585\) 1.25862 1.25862i 0.0520373 0.0520373i
\(586\) 14.1899 25.4276i 0.586179 1.05040i
\(587\) 20.2671 + 8.39492i 0.836514 + 0.346495i 0.759478 0.650533i \(-0.225454\pi\)
0.0770358 + 0.997028i \(0.475454\pi\)
\(588\) 0.686876 + 4.25387i 0.0283263 + 0.175427i
\(589\) −9.78723 23.6285i −0.403276 0.973593i
\(590\) −3.73029 4.71723i −0.153574 0.194205i
\(591\) 32.2070i 1.32482i
\(592\) −26.9034 + 23.2592i −1.10572 + 0.955947i
\(593\) 43.4009i 1.78226i 0.453748 + 0.891130i \(0.350087\pi\)
−0.453748 + 0.891130i \(0.649913\pi\)
\(594\) 5.82944 4.60980i 0.239185 0.189142i
\(595\) 15.3245 + 36.9965i 0.628242 + 1.51671i
\(596\) −9.23463 6.66698i −0.378265 0.273090i
\(597\) 8.41257 + 3.48460i 0.344303 + 0.142615i
\(598\) 7.95277 + 4.43806i 0.325213 + 0.181486i
\(599\) 4.39676 4.39676i 0.179647 0.179647i −0.611555 0.791202i \(-0.709456\pi\)
0.791202 + 0.611555i \(0.209456\pi\)
\(600\) −38.0890 34.8915i −1.55498 1.42444i
\(601\) 9.78203 + 9.78203i 0.399017 + 0.399017i 0.877886 0.478869i \(-0.158953\pi\)
−0.478869 + 0.877886i \(0.658953\pi\)
\(602\) −10.7542 37.9130i −0.438308 1.54522i
\(603\) 0.563665 1.36081i 0.0229542 0.0554163i
\(604\) 28.2882 17.4523i 1.15103 0.710126i
\(605\) −34.7112 + 14.3778i −1.41121 + 0.584542i
\(606\) 1.09365 9.36086i 0.0444265 0.380259i
\(607\) 14.7199 0.597463 0.298732 0.954337i \(-0.403436\pi\)
0.298732 + 0.954337i \(0.403436\pi\)
\(608\) 5.72799 29.9734i 0.232301 1.21558i
\(609\) −41.4514 −1.67970
\(610\) 4.43291 37.9425i 0.179483 1.53625i
\(611\) 5.46308 2.26288i 0.221013 0.0915465i
\(612\) −2.09035 3.38821i −0.0844973 0.136960i
\(613\) 13.3004 32.1100i 0.537198 1.29691i −0.389473 0.921038i \(-0.627343\pi\)
0.926671 0.375873i \(-0.122657\pi\)
\(614\) 12.8043 + 45.1405i 0.516739 + 1.82172i
\(615\) 60.1623 + 60.1623i 2.42598 + 2.42598i
\(616\) −0.333033 7.60136i −0.0134183 0.306268i
\(617\) −24.4134 + 24.4134i −0.982845 + 0.982845i −0.999855 0.0170102i \(-0.994585\pi\)
0.0170102 + 0.999855i \(0.494585\pi\)
\(618\) −6.58770 3.67628i −0.264996 0.147882i
\(619\) −10.4636 4.33415i −0.420566 0.174204i 0.162356 0.986732i \(-0.448091\pi\)
−0.582922 + 0.812528i \(0.698091\pi\)
\(620\) −21.3628 + 29.5902i −0.857951 + 1.18837i
\(621\) 11.6365 + 28.0929i 0.466955 + 1.12733i
\(622\) 19.0559 15.0690i 0.764071 0.604212i
\(623\) 4.93439i 0.197692i
\(624\) −2.34260 7.06480i −0.0937790 0.282818i
\(625\) 22.2531i 0.890122i
\(626\) −15.6998 19.8536i −0.627490 0.793509i
\(627\) 4.27522 + 10.3213i 0.170736 + 0.412192i
\(628\) 0.323412 0.0522216i 0.0129055 0.00208387i
\(629\) 35.3572 + 14.6454i 1.40978 + 0.583952i
\(630\) 2.96492 5.31298i 0.118125 0.211674i
\(631\) 26.3930 26.3930i 1.05069 1.05069i 0.0520440 0.998645i \(-0.483426\pi\)
0.998645 0.0520440i \(-0.0165736\pi\)
\(632\) 3.46515 9.52491i 0.137836 0.378881i
\(633\) 35.3646 + 35.3646i 1.40562 + 1.40562i
\(634\) −2.22106 + 0.630013i −0.0882095 + 0.0250210i
\(635\) 13.2024 31.8735i 0.523923 1.26486i
\(636\) −4.57916 1.08479i −0.181576 0.0430149i
\(637\) 1.06971 0.443089i 0.0423835 0.0175558i
\(638\) −14.4082 1.68334i −0.570425 0.0666440i
\(639\) 1.71564 0.0678697
\(640\) −40.6936 + 15.5016i −1.60856 + 0.612753i
\(641\) −17.0168 −0.672124 −0.336062 0.941840i \(-0.609095\pi\)
−0.336062 + 0.941840i \(0.609095\pi\)
\(642\) −11.7580 1.37371i −0.464051 0.0542161i
\(643\) 15.0453 6.23197i 0.593329 0.245765i −0.0657529 0.997836i \(-0.520945\pi\)
0.659082 + 0.752071i \(0.270945\pi\)
\(644\) 30.2924 + 7.17622i 1.19369 + 0.282783i
\(645\) 31.5985 76.2856i 1.24419 3.00374i
\(646\) −31.5919 + 8.96118i −1.24297 + 0.352573i
\(647\) 8.66377 + 8.66377i 0.340608 + 0.340608i 0.856596 0.515988i \(-0.172575\pi\)
−0.515988 + 0.856596i \(0.672575\pi\)
\(648\) 9.83753 27.0411i 0.386455 1.06228i
\(649\) 0.869481 0.869481i 0.0341301 0.0341301i
\(650\) −6.76379 + 12.1204i −0.265298 + 0.475400i
\(651\) −19.6999 8.15995i −0.772098 0.319814i
\(652\) 35.7972 5.78021i 1.40193 0.226370i
\(653\) −0.127816 0.308574i −0.00500181 0.0120754i 0.921359 0.388713i \(-0.127080\pi\)
−0.926361 + 0.376638i \(0.877080\pi\)
\(654\) 16.9392 + 21.4208i 0.662373 + 0.837621i
\(655\) 7.26805i 0.283986i
\(656\) 45.1036 14.9558i 1.76100 0.583925i
\(657\) 0.820940i 0.0320279i
\(658\) 15.8545 12.5374i 0.618073 0.488760i
\(659\) 8.21012 + 19.8210i 0.319821 + 0.772116i 0.999263 + 0.0383865i \(0.0122218\pi\)
−0.679442 + 0.733729i \(0.737778\pi\)
\(660\) 9.33161 12.9255i 0.363233 0.503124i
\(661\) −32.2857 13.3732i −1.25577 0.520157i −0.347161 0.937806i \(-0.612854\pi\)
−0.908609 + 0.417649i \(0.862854\pi\)
\(662\) −36.0871 20.1385i −1.40256 0.782703i
\(663\) −5.66358 + 5.66358i −0.219955 + 0.219955i
\(664\) 0.550298 + 12.5604i 0.0213557 + 0.487436i
\(665\) −35.4868 35.4868i −1.37612 1.37612i
\(666\) −1.58676 5.59400i −0.0614858 0.216763i
\(667\) 22.7131 54.8342i 0.879453 2.12319i
\(668\) −21.1193 34.2320i −0.817132 1.32447i
\(669\) −2.23256 + 0.924758i −0.0863158 + 0.0357532i
\(670\) −2.01185 + 17.2200i −0.0777246 + 0.665267i
\(671\) 7.81065 0.301527
\(672\) −14.2936 21.0474i −0.551389 0.811921i
\(673\) 18.1367 0.699118 0.349559 0.936914i \(-0.386331\pi\)
0.349559 + 0.936914i \(0.386331\pi\)
\(674\) −0.431016 + 3.68919i −0.0166021 + 0.142102i
\(675\) −42.8148 + 17.7345i −1.64794 + 0.682599i
\(676\) −1.70213 + 1.05012i −0.0654664 + 0.0403894i
\(677\) −7.40180 + 17.8695i −0.284474 + 0.686782i −0.999929 0.0118771i \(-0.996219\pi\)
0.715455 + 0.698659i \(0.246219\pi\)
\(678\) −1.45767 5.13888i −0.0559814 0.197358i
\(679\) 15.0969 + 15.0969i 0.579364 + 0.579364i
\(680\) 34.5537 + 31.6531i 1.32508 + 1.21384i
\(681\) −15.8081 + 15.8081i −0.605769 + 0.605769i
\(682\) −6.51613 3.63634i −0.249516 0.139243i
\(683\) −8.92826 3.69821i −0.341630 0.141508i 0.205271 0.978705i \(-0.434193\pi\)
−0.546901 + 0.837197i \(0.684193\pi\)
\(684\) 4.04527 + 2.92050i 0.154675 + 0.111668i
\(685\) −29.0557 70.1466i −1.11016 2.68016i
\(686\) 21.8729 17.2966i 0.835110 0.660388i
\(687\) 1.20021i 0.0457908i
\(688\) −30.1604 34.8859i −1.14986 1.33001i
\(689\) 1.26451i 0.0481739i
\(690\) 40.4585 + 51.1629i 1.54023 + 1.94774i
\(691\) 10.3677 + 25.0299i 0.394407 + 0.952183i 0.988968 + 0.148132i \(0.0473262\pi\)
−0.594560 + 0.804051i \(0.702674\pi\)
\(692\) 3.74236 + 23.1767i 0.142263 + 0.881045i
\(693\) 1.14932 + 0.476065i 0.0436591 + 0.0180842i
\(694\) 5.20332 9.32408i 0.197515 0.353937i
\(695\) 4.68248 4.68248i 0.177616 0.177616i
\(696\) −43.9585 + 20.5063i −1.66624 + 0.777289i
\(697\) −36.1578 36.1578i −1.36958 1.36958i
\(698\) −42.3891 + 12.0239i −1.60445 + 0.455109i
\(699\) −5.45584 + 13.1716i −0.206359 + 0.498194i
\(700\) −10.9369 + 46.1670i −0.413375 + 1.74495i
\(701\) −9.24030 + 3.82746i −0.349001 + 0.144561i −0.550296 0.834970i \(-0.685485\pi\)
0.201295 + 0.979531i \(0.435485\pi\)
\(702\) −6.63250 0.774890i −0.250328 0.0292463i
\(703\) −47.9621 −1.80893
\(704\) −4.11362 7.89636i −0.155038 0.297605i
\(705\) 42.3505 1.59501
\(706\) 13.0736 + 1.52741i 0.492030 + 0.0574849i
\(707\) −7.99751 + 3.31268i −0.300777 + 0.124586i
\(708\) 0.947818 4.00095i 0.0356212 0.150365i
\(709\) 1.33995 3.23494i 0.0503231 0.121491i −0.896719 0.442601i \(-0.854056\pi\)
0.947042 + 0.321110i \(0.104056\pi\)
\(710\) −19.4276 + 5.51072i −0.729104 + 0.206813i
\(711\) 1.17180 + 1.17180i 0.0439460 + 0.0439460i
\(712\) −2.44107 5.23283i −0.0914831 0.196109i
\(713\) 21.5888 21.5888i 0.808508 0.808508i
\(714\) −13.3417 + 23.9076i −0.499300 + 0.894720i
\(715\) −3.95764 1.63931i −0.148007 0.0613067i
\(716\) −0.641403 3.97225i −0.0239704 0.148450i
\(717\) 18.5718 + 44.8364i 0.693578 + 1.67445i
\(718\) 14.1105 + 17.8438i 0.526600 + 0.665925i
\(719\) 48.8750i 1.82273i 0.411599 + 0.911365i \(0.364971\pi\)
−0.411599 + 0.911365i \(0.635029\pi\)
\(720\) 0.515880 7.10109i 0.0192257 0.264642i
\(721\) 6.92922i 0.258058i
\(722\) 11.2044 8.86018i 0.416983 0.329742i
\(723\) 18.1203 + 43.7462i 0.673900 + 1.62694i
\(724\) 27.7863 + 20.0605i 1.03267 + 0.745541i
\(725\) 83.5696 + 34.6157i 3.10370 + 1.28559i
\(726\) −22.4308 12.5175i −0.832485 0.464570i
\(727\) −7.65102 + 7.65102i −0.283761 + 0.283761i −0.834607 0.550846i \(-0.814305\pi\)
0.550846 + 0.834607i \(0.314305\pi\)
\(728\) −4.61789 + 5.04107i −0.171150 + 0.186834i
\(729\) −15.3115 15.3115i −0.567092 0.567092i
\(730\) −2.63689 9.29615i −0.0975958 0.344066i
\(731\) −18.9909 + 45.8480i −0.702403 + 1.69575i
\(732\) 22.2277 13.7133i 0.821559 0.506859i
\(733\) 20.4823 8.48405i 0.756532 0.313366i 0.0291281 0.999576i \(-0.490727\pi\)
0.727403 + 0.686210i \(0.240727\pi\)
\(734\) 0.840443 7.19359i 0.0310213 0.265520i
\(735\) 8.29255 0.305875
\(736\) 35.6747 7.37561i 1.31499 0.271868i
\(737\) −3.54482 −0.130575
\(738\) −0.901571 + 7.71680i −0.0331873 + 0.284059i
\(739\) 22.5444 9.33820i 0.829309 0.343511i 0.0726801 0.997355i \(-0.476845\pi\)
0.756629 + 0.653844i \(0.226845\pi\)
\(740\) 35.9363 + 58.2485i 1.32105 + 2.14126i
\(741\) 3.84133 9.27379i 0.141115 0.340681i
\(742\) 1.17953 + 4.15832i 0.0433018 + 0.152657i
\(743\) 29.9631 + 29.9631i 1.09924 + 1.09924i 0.994500 + 0.104740i \(0.0334011\pi\)
0.104740 + 0.994500i \(0.466599\pi\)
\(744\) −24.9281 + 1.09216i −0.913910 + 0.0400405i
\(745\) −15.4994 + 15.4994i −0.567854 + 0.567854i
\(746\) −27.6784 15.4460i −1.01338 0.565518i
\(747\) −1.89912 0.786640i −0.0694851 0.0287817i
\(748\) −5.60835 + 7.76829i −0.205062 + 0.284037i
\(749\) 4.16099 + 10.0455i 0.152039 + 0.367055i
\(750\) −38.2506 + 30.2478i −1.39672 + 1.10449i
\(751\) 13.5387i 0.494034i 0.969011 + 0.247017i \(0.0794504\pi\)
−0.969011 + 0.247017i \(0.920550\pi\)
\(752\) 10.6111 21.1391i 0.386947 0.770862i
\(753\) 8.86040i 0.322891i
\(754\) 8.08464 + 10.2236i 0.294425 + 0.372323i
\(755\) −24.4792 59.0980i −0.890889 2.15080i
\(756\) −22.5338 + 3.63855i −0.819545 + 0.132333i
\(757\) −37.5185 15.5407i −1.36363 0.564835i −0.423578 0.905859i \(-0.639226\pi\)
−0.940055 + 0.341024i \(0.889226\pi\)
\(758\) 11.2864 20.2246i 0.409940 0.734592i
\(759\) −9.43035 + 9.43035i −0.342300 + 0.342300i
\(760\) −55.1886 20.0776i −2.00190 0.728290i
\(761\) 23.6761 + 23.6761i 0.858259 + 0.858259i 0.991133 0.132874i \(-0.0424206\pi\)
−0.132874 + 0.991133i \(0.542421\pi\)
\(762\) 22.6920 6.43667i 0.822043 0.233176i
\(763\) 9.59902 23.1741i 0.347508 0.838958i
\(764\) −13.2245 3.13287i −0.478447 0.113343i
\(765\) −7.07845 + 2.93199i −0.255922 + 0.106006i
\(766\) −36.7167 4.28970i −1.32663 0.154993i
\(767\) −1.10484 −0.0398934
\(768\) −25.5704 15.2492i −0.922694 0.550260i
\(769\) 2.61071 0.0941445 0.0470722 0.998891i \(-0.485011\pi\)
0.0470722 + 0.998891i \(0.485011\pi\)