Properties

Label 378.2.z.a.41.4
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (of order \(18\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.4
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.826027 - 1.52239i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.99843 + 1.67688i) q^{5} +(1.07784 + 1.35583i) q^{6} +(0.187552 + 2.63910i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.63536 + 2.51507i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.826027 - 1.52239i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.99843 + 1.67688i) q^{5} +(1.07784 + 1.35583i) q^{6} +(0.187552 + 2.63910i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.63536 + 2.51507i) q^{9} +(-2.25926 - 1.30438i) q^{10} +(1.10056 + 1.31159i) q^{11} +(-1.29690 - 1.14806i) q^{12} +(-6.54906 - 1.15478i) q^{13} +(-0.642977 - 2.56643i) q^{14} +(0.902117 - 4.42755i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-3.19200 + 5.52870i) q^{17} +(1.17378 - 2.76084i) q^{18} +(1.36673 - 0.789081i) q^{19} +(2.45144 + 0.892251i) q^{20} +(3.86282 - 2.46549i) q^{21} +(-1.31159 - 1.10056i) q^{22} +(2.89352 + 7.94988i) q^{23} +(1.47656 + 0.905418i) q^{24} +(0.313551 + 1.77824i) q^{25} +6.65009 q^{26} +(5.17978 + 0.412142i) q^{27} +(1.07887 + 2.41579i) q^{28} +(3.93278 - 0.693456i) q^{29} +(-0.119576 + 4.51694i) q^{30} +(-0.301809 - 0.829214i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(1.08767 - 2.75889i) q^{33} +(2.18346 - 5.99900i) q^{34} +(-4.05064 + 5.58856i) q^{35} +(-0.676530 + 2.92272i) q^{36} +(-2.57189 + 4.45464i) q^{37} +(-1.20894 + 1.01442i) q^{38} +(3.65167 + 10.9241i) q^{39} +(-2.56913 - 0.453008i) q^{40} +(0.142302 - 0.807035i) q^{41} +(-3.37600 + 3.09881i) q^{42} +(6.82048 - 5.72306i) q^{43} +(1.48277 + 0.856080i) q^{44} +(-7.48564 + 2.28390i) q^{45} +(-4.23005 - 7.32665i) q^{46} +(6.60763 + 2.40498i) q^{47} +(-1.61135 - 0.635261i) q^{48} +(-6.92965 + 0.989938i) q^{49} +(-0.617575 - 1.69677i) q^{50} +(11.0535 + 0.292619i) q^{51} +(-6.54906 + 1.15478i) q^{52} -6.75035i q^{53} +(-5.17266 + 0.493579i) q^{54} +4.46663i q^{55} +(-1.48197 - 2.19175i) q^{56} +(-2.33024 - 1.42890i) q^{57} +(-3.75262 + 1.36584i) q^{58} +(-0.690522 - 0.579417i) q^{59} +(-0.666598 - 4.46908i) q^{60} +(1.46604 - 4.02791i) q^{61} +(0.441216 + 0.764208i) q^{62} +(-6.94424 - 3.84416i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-11.1514 - 13.2897i) q^{65} +(-0.592069 + 2.90584i) q^{66} +(-2.06631 + 11.7186i) q^{67} +(-1.10857 + 6.28701i) q^{68} +(9.71272 - 10.9719i) q^{69} +(3.01866 - 6.20704i) q^{70} +(2.69703 + 1.55713i) q^{71} +(0.158726 - 2.99580i) q^{72} +(-1.04793 + 0.605023i) q^{73} +(1.75928 - 4.83357i) q^{74} +(2.44817 - 1.94622i) q^{75} +(1.01442 - 1.20894i) q^{76} +(-3.25500 + 3.15046i) q^{77} +(-5.49315 - 10.1240i) q^{78} +(-1.88666 - 10.6998i) q^{79} +2.60877 q^{80} +(-3.65120 - 8.22610i) q^{81} +0.819485i q^{82} +(-0.170323 - 0.965952i) q^{83} +(2.78661 - 3.63797i) q^{84} +(-15.6500 + 5.69613i) q^{85} +(-5.72306 + 6.82048i) q^{86} +(-4.30430 - 5.41443i) q^{87} +(-1.60890 - 0.585593i) q^{88} +(1.37986 + 2.38999i) q^{89} +(6.97532 - 3.54907i) q^{90} +(1.81927 - 17.5002i) q^{91} +(5.43804 + 6.48081i) q^{92} +(-1.01309 + 1.14443i) q^{93} +(-6.92487 - 1.22104i) q^{94} +(4.05451 + 0.714919i) q^{95} +(1.69718 + 0.345802i) q^{96} +(11.7988 + 14.0613i) q^{97} +(6.65247 - 2.17822i) q^{98} +(-5.09855 + 0.623055i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −0.826027 1.52239i −0.476907 0.878954i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 1.99843 + 1.67688i 0.893726 + 0.749925i 0.968954 0.247241i \(-0.0795240\pi\)
−0.0752280 + 0.997166i \(0.523968\pi\)
\(6\) 1.07784 + 1.35583i 0.440026 + 0.553514i
\(7\) 0.187552 + 2.63910i 0.0708882 + 0.997484i
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −1.63536 + 2.51507i −0.545120 + 0.838358i
\(10\) −2.25926 1.30438i −0.714440 0.412482i
\(11\) 1.10056 + 1.31159i 0.331830 + 0.395459i 0.906001 0.423276i \(-0.139120\pi\)
−0.574171 + 0.818735i \(0.694676\pi\)
\(12\) −1.29690 1.14806i −0.374383 0.331417i
\(13\) −6.54906 1.15478i −1.81638 0.320277i −0.841039 0.540974i \(-0.818056\pi\)
−0.975342 + 0.220697i \(0.929167\pi\)
\(14\) −0.642977 2.56643i −0.171843 0.685908i
\(15\) 0.902117 4.42755i 0.232926 1.14319i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −3.19200 + 5.52870i −0.774173 + 1.34091i 0.161085 + 0.986941i \(0.448501\pi\)
−0.935258 + 0.353967i \(0.884833\pi\)
\(18\) 1.17378 2.76084i 0.276662 0.650737i
\(19\) 1.36673 0.789081i 0.313549 0.181028i −0.334965 0.942231i \(-0.608724\pi\)
0.648513 + 0.761203i \(0.275391\pi\)
\(20\) 2.45144 + 0.892251i 0.548159 + 0.199513i
\(21\) 3.86282 2.46549i 0.842936 0.538014i
\(22\) −1.31159 1.10056i −0.279632 0.234639i
\(23\) 2.89352 + 7.94988i 0.603341 + 1.65767i 0.744455 + 0.667672i \(0.232709\pi\)
−0.141114 + 0.989993i \(0.545069\pi\)
\(24\) 1.47656 + 0.905418i 0.301401 + 0.184818i
\(25\) 0.313551 + 1.77824i 0.0627102 + 0.355647i
\(26\) 6.65009 1.30419
\(27\) 5.17978 + 0.412142i 0.996849 + 0.0793167i
\(28\) 1.07887 + 2.41579i 0.203886 + 0.456542i
\(29\) 3.93278 0.693456i 0.730300 0.128772i 0.203879 0.978996i \(-0.434645\pi\)
0.526420 + 0.850224i \(0.323534\pi\)
\(30\) −0.119576 + 4.51694i −0.0218316 + 0.824676i
\(31\) −0.301809 0.829214i −0.0542065 0.148931i 0.909634 0.415410i \(-0.136362\pi\)
−0.963841 + 0.266479i \(0.914140\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) 1.08767 2.75889i 0.189339 0.480260i
\(34\) 2.18346 5.99900i 0.374460 1.02882i
\(35\) −4.05064 + 5.58856i −0.684684 + 0.944638i
\(36\) −0.676530 + 2.92272i −0.112755 + 0.487120i
\(37\) −2.57189 + 4.45464i −0.422816 + 0.732339i −0.996214 0.0869382i \(-0.972292\pi\)
0.573398 + 0.819277i \(0.305625\pi\)
\(38\) −1.20894 + 1.01442i −0.196116 + 0.164561i
\(39\) 3.65167 + 10.9241i 0.584736 + 1.74926i
\(40\) −2.56913 0.453008i −0.406216 0.0716268i
\(41\) 0.142302 0.807035i 0.0222239 0.126038i −0.971677 0.236311i \(-0.924062\pi\)
0.993901 + 0.110273i \(0.0351726\pi\)
\(42\) −3.37600 + 3.09881i −0.520929 + 0.478156i
\(43\) 6.82048 5.72306i 1.04011 0.872758i 0.0480935 0.998843i \(-0.484685\pi\)
0.992020 + 0.126084i \(0.0402410\pi\)
\(44\) 1.48277 + 0.856080i 0.223537 + 0.129059i
\(45\) −7.48564 + 2.28390i −1.11589 + 0.340463i
\(46\) −4.23005 7.32665i −0.623686 1.08026i
\(47\) 6.60763 + 2.40498i 0.963823 + 0.350803i 0.775530 0.631310i \(-0.217483\pi\)
0.188292 + 0.982113i \(0.439705\pi\)
\(48\) −1.61135 0.635261i −0.232578 0.0916920i
\(49\) −6.92965 + 0.989938i −0.989950 + 0.141420i
\(50\) −0.617575 1.69677i −0.0873383 0.239960i
\(51\) 11.0535 + 0.292619i 1.54780 + 0.0409749i
\(52\) −6.54906 + 1.15478i −0.908191 + 0.160139i
\(53\) 6.75035i 0.927232i −0.886036 0.463616i \(-0.846552\pi\)
0.886036 0.463616i \(-0.153448\pi\)
\(54\) −5.17266 + 0.493579i −0.703909 + 0.0671676i
\(55\) 4.46663i 0.602280i
\(56\) −1.48197 2.19175i −0.198037 0.292885i
\(57\) −2.33024 1.42890i −0.308648 0.189262i
\(58\) −3.75262 + 1.36584i −0.492743 + 0.179344i
\(59\) −0.690522 0.579417i −0.0898983 0.0754336i 0.596731 0.802441i \(-0.296466\pi\)
−0.686629 + 0.727008i \(0.740910\pi\)
\(60\) −0.666598 4.46908i −0.0860574 0.576955i
\(61\) 1.46604 4.02791i 0.187707 0.515722i −0.809767 0.586752i \(-0.800406\pi\)
0.997474 + 0.0710302i \(0.0226287\pi\)
\(62\) 0.441216 + 0.764208i 0.0560344 + 0.0970545i
\(63\) −6.94424 3.84416i −0.874892 0.484319i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −11.1514 13.2897i −1.38316 1.64839i
\(66\) −0.592069 + 2.90584i −0.0728786 + 0.357685i
\(67\) −2.06631 + 11.7186i −0.252440 + 1.43166i 0.550120 + 0.835086i \(0.314582\pi\)
−0.802560 + 0.596572i \(0.796529\pi\)
\(68\) −1.10857 + 6.28701i −0.134434 + 0.762412i
\(69\) 9.71272 10.9719i 1.16927 1.32086i
\(70\) 3.01866 6.20704i 0.360799 0.741883i
\(71\) 2.69703 + 1.55713i 0.320079 + 0.184798i 0.651428 0.758711i \(-0.274170\pi\)
−0.331349 + 0.943508i \(0.607504\pi\)
\(72\) 0.158726 2.99580i 0.0187061 0.353058i
\(73\) −1.04793 + 0.605023i −0.122651 + 0.0708126i −0.560070 0.828445i \(-0.689226\pi\)
0.437419 + 0.899258i \(0.355893\pi\)
\(74\) 1.75928 4.83357i 0.204512 0.561891i
\(75\) 2.44817 1.94622i 0.282691 0.224730i
\(76\) 1.01442 1.20894i 0.116362 0.138675i
\(77\) −3.25500 + 3.15046i −0.370942 + 0.359028i
\(78\) −5.49315 10.1240i −0.621977 1.14632i
\(79\) −1.88666 10.6998i −0.212266 1.20382i −0.885588 0.464471i \(-0.846245\pi\)
0.673323 0.739349i \(-0.264867\pi\)
\(80\) 2.60877 0.291669
\(81\) −3.65120 8.22610i −0.405688 0.914011i
\(82\) 0.819485i 0.0904970i
\(83\) −0.170323 0.965952i −0.0186954 0.106027i 0.974032 0.226410i \(-0.0726989\pi\)
−0.992728 + 0.120383i \(0.961588\pi\)
\(84\) 2.78661 3.63797i 0.304044 0.396935i
\(85\) −15.6500 + 5.69613i −1.69748 + 0.617832i
\(86\) −5.72306 + 6.82048i −0.617133 + 0.735471i
\(87\) −4.30430 5.41443i −0.461469 0.580488i
\(88\) −1.60890 0.585593i −0.171510 0.0624244i
\(89\) 1.37986 + 2.38999i 0.146265 + 0.253339i 0.929844 0.367953i \(-0.119941\pi\)
−0.783579 + 0.621292i \(0.786608\pi\)
\(90\) 6.97532 3.54907i 0.735264 0.374105i
\(91\) 1.81927 17.5002i 0.190711 1.83452i
\(92\) 5.43804 + 6.48081i 0.566955 + 0.675671i
\(93\) −1.01309 + 1.14443i −0.105052 + 0.118671i
\(94\) −6.92487 1.22104i −0.714246 0.125941i
\(95\) 4.05451 + 0.714919i 0.415984 + 0.0733492i
\(96\) 1.69718 + 0.345802i 0.173218 + 0.0352933i
\(97\) 11.7988 + 14.0613i 1.19799 + 1.42770i 0.876912 + 0.480650i \(0.159599\pi\)
0.321074 + 0.947054i \(0.395956\pi\)
\(98\) 6.65247 2.17822i 0.672001 0.220033i
\(99\) −5.09855 + 0.623055i −0.512424 + 0.0626194i
\(100\) 0.902835 + 1.56376i 0.0902835 + 0.156376i
\(101\) 1.77454 + 0.645878i 0.176573 + 0.0642673i 0.428794 0.903402i \(-0.358939\pi\)
−0.252221 + 0.967670i \(0.581161\pi\)
\(102\) −10.9364 + 1.63125i −1.08287 + 0.161518i
\(103\) 11.5732 13.7924i 1.14034 1.35900i 0.216475 0.976288i \(-0.430544\pi\)
0.923866 0.382717i \(-0.125011\pi\)
\(104\) 6.24904 2.27446i 0.612768 0.223029i
\(105\) 11.8539 + 1.55038i 1.15682 + 0.151301i
\(106\) 1.17219 + 6.64779i 0.113853 + 0.645691i
\(107\) 12.3862i 1.19742i −0.800967 0.598708i \(-0.795681\pi\)
0.800967 0.598708i \(-0.204319\pi\)
\(108\) 5.00836 1.38430i 0.481930 0.133205i
\(109\) −5.18562 −0.496692 −0.248346 0.968671i \(-0.579887\pi\)
−0.248346 + 0.968671i \(0.579887\pi\)
\(110\) −0.775622 4.39877i −0.0739526 0.419406i
\(111\) 8.90617 + 0.235772i 0.845336 + 0.0223785i
\(112\) 1.84005 + 1.90111i 0.173869 + 0.179638i
\(113\) −11.9051 + 14.1880i −1.11994 + 1.33469i −0.183843 + 0.982956i \(0.558854\pi\)
−0.936098 + 0.351739i \(0.885591\pi\)
\(114\) 2.54297 + 1.00254i 0.238171 + 0.0938969i
\(115\) −7.54853 + 20.7394i −0.703904 + 1.93396i
\(116\) 3.45843 1.99673i 0.321107 0.185391i
\(117\) 13.6144 14.5829i 1.25865 1.34819i
\(118\) 0.780646 + 0.450706i 0.0718643 + 0.0414909i
\(119\) −15.1894 7.38707i −1.39241 0.677171i
\(120\) 1.43252 + 4.28543i 0.130770 + 0.391204i
\(121\) 1.40108 7.94593i 0.127371 0.722357i
\(122\) −0.744328 + 4.22130i −0.0673883 + 0.382178i
\(123\) −1.34617 + 0.449993i −0.121380 + 0.0405745i
\(124\) −0.567216 0.675982i −0.0509375 0.0607049i
\(125\) 4.16663 7.21682i 0.372675 0.645492i
\(126\) 7.50627 + 2.57991i 0.668712 + 0.229836i
\(127\) 1.15030 + 1.99238i 0.102073 + 0.176796i 0.912539 0.408991i \(-0.134119\pi\)
−0.810466 + 0.585786i \(0.800786\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −14.3466 5.65605i −1.26315 0.497987i
\(130\) 13.2897 + 11.1514i 1.16559 + 0.978044i
\(131\) −13.0034 + 4.73283i −1.13611 + 0.413510i −0.840506 0.541802i \(-0.817742\pi\)
−0.295602 + 0.955311i \(0.595520\pi\)
\(132\) 0.0784792 2.96451i 0.00683073 0.258027i
\(133\) 2.33879 + 3.45893i 0.202799 + 0.299927i
\(134\) 11.8994i 1.02795i
\(135\) 9.66033 + 9.50953i 0.831429 + 0.818450i
\(136\) 6.38400i 0.547423i
\(137\) −9.76310 + 1.72150i −0.834118 + 0.147078i −0.574367 0.818598i \(-0.694752\pi\)
−0.259751 + 0.965676i \(0.583641\pi\)
\(138\) −7.65991 + 12.4918i −0.652055 + 1.06337i
\(139\) 2.00774 + 5.51622i 0.170294 + 0.467879i 0.995254 0.0973121i \(-0.0310245\pi\)
−0.824960 + 0.565191i \(0.808802\pi\)
\(140\) −1.89496 + 6.63693i −0.160154 + 0.560923i
\(141\) −1.79675 12.0460i −0.151314 1.01446i
\(142\) −2.92645 1.06514i −0.245582 0.0893846i
\(143\) −5.69301 9.86057i −0.476073 0.824583i
\(144\) 0.363900 + 2.97785i 0.0303250 + 0.248154i
\(145\) 9.02225 + 5.20900i 0.749257 + 0.432584i
\(146\) 0.926949 0.777803i 0.0767148 0.0643714i
\(147\) 7.23115 + 9.73193i 0.596415 + 0.802676i
\(148\) −0.893208 + 5.06563i −0.0734212 + 0.416393i
\(149\) 2.92838 + 0.516353i 0.239903 + 0.0423013i 0.292307 0.956325i \(-0.405577\pi\)
−0.0524040 + 0.998626i \(0.516688\pi\)
\(150\) −2.07302 + 2.34177i −0.169262 + 0.191205i
\(151\) −1.27898 + 1.07319i −0.104082 + 0.0873353i −0.693344 0.720607i \(-0.743863\pi\)
0.589262 + 0.807942i \(0.299419\pi\)
\(152\) −0.789081 + 1.36673i −0.0640029 + 0.110856i
\(153\) −8.68503 17.0695i −0.702143 1.37999i
\(154\) 2.65848 3.66782i 0.214226 0.295562i
\(155\) 0.787350 2.16323i 0.0632415 0.173755i
\(156\) 7.16772 + 9.01636i 0.573877 + 0.721887i
\(157\) 4.83620 5.76356i 0.385971 0.459983i −0.537718 0.843125i \(-0.680714\pi\)
0.923689 + 0.383142i \(0.125158\pi\)
\(158\) 3.71600 + 10.2096i 0.295629 + 0.812233i
\(159\) −10.2767 + 5.57597i −0.814994 + 0.442203i
\(160\) −2.56913 + 0.453008i −0.203108 + 0.0358134i
\(161\) −20.4378 + 9.12730i −1.61073 + 0.719332i
\(162\) 5.02417 + 7.46711i 0.394736 + 0.586671i
\(163\) −7.10349 −0.556388 −0.278194 0.960525i \(-0.589736\pi\)
−0.278194 + 0.960525i \(0.589736\pi\)
\(164\) −0.142302 0.807035i −0.0111119 0.0630189i
\(165\) 6.79996 3.68955i 0.529376 0.287231i
\(166\) 0.335471 + 0.921700i 0.0260376 + 0.0715378i
\(167\) −9.09652 7.63288i −0.703910 0.590650i 0.218973 0.975731i \(-0.429729\pi\)
−0.922883 + 0.385080i \(0.874174\pi\)
\(168\) −2.11255 + 4.06659i −0.162987 + 0.313744i
\(169\) 29.3406 + 10.6791i 2.25697 + 0.821470i
\(170\) 14.4231 8.32718i 1.10620 0.638666i
\(171\) −0.250495 + 4.72785i −0.0191559 + 0.361548i
\(172\) 4.45175 7.71066i 0.339443 0.587932i
\(173\) −4.23871 + 3.55670i −0.322263 + 0.270411i −0.789539 0.613701i \(-0.789680\pi\)
0.467275 + 0.884112i \(0.345236\pi\)
\(174\) 5.17911 + 4.58474i 0.392627 + 0.347568i
\(175\) −4.63413 + 1.16100i −0.350307 + 0.0877637i
\(176\) 1.68615 + 0.297313i 0.127098 + 0.0224108i
\(177\) −0.311710 + 1.52986i −0.0234296 + 0.114991i
\(178\) −1.77392 2.11407i −0.132961 0.158457i
\(179\) 16.3924 + 9.46415i 1.22522 + 0.707384i 0.966027 0.258441i \(-0.0832087\pi\)
0.259197 + 0.965824i \(0.416542\pi\)
\(180\) −6.25306 + 4.70640i −0.466076 + 0.350794i
\(181\) 11.2216 6.47882i 0.834099 0.481567i −0.0211554 0.999776i \(-0.506734\pi\)
0.855254 + 0.518209i \(0.173401\pi\)
\(182\) 1.24724 + 17.5502i 0.0924516 + 1.30091i
\(183\) −7.34306 + 1.09527i −0.542814 + 0.0809650i
\(184\) −6.48081 5.43804i −0.477771 0.400898i
\(185\) −12.6097 + 4.58954i −0.927081 + 0.337430i
\(186\) 0.798969 1.30296i 0.0585832 0.0955376i
\(187\) −10.7644 + 1.89805i −0.787168 + 0.138799i
\(188\) 7.03170 0.512839
\(189\) −0.116201 + 13.7472i −0.00845237 + 0.999964i
\(190\) −4.11706 −0.298683
\(191\) 1.21312 0.213906i 0.0877784 0.0154777i −0.129586 0.991568i \(-0.541365\pi\)
0.217365 + 0.976090i \(0.430254\pi\)
\(192\) −1.73144 0.0458363i −0.124956 0.00330795i
\(193\) −24.6718 + 8.97980i −1.77591 + 0.646380i −0.776037 + 0.630687i \(0.782773\pi\)
−0.999877 + 0.0156930i \(0.995005\pi\)
\(194\) −14.0613 11.7988i −1.00954 0.847104i
\(195\) −11.0208 + 27.9545i −0.789219 + 2.00187i
\(196\) −6.17316 + 3.30032i −0.440940 + 0.235737i
\(197\) 9.13794 5.27579i 0.651051 0.375884i −0.137808 0.990459i \(-0.544006\pi\)
0.788859 + 0.614575i \(0.210672\pi\)
\(198\) 4.91290 1.49894i 0.349145 0.106525i
\(199\) 5.90158 + 3.40728i 0.418352 + 0.241536i 0.694372 0.719616i \(-0.255682\pi\)
−0.276020 + 0.961152i \(0.589016\pi\)
\(200\) −1.16066 1.38322i −0.0820712 0.0978086i
\(201\) 19.5472 6.53416i 1.37875 0.460884i
\(202\) −1.85973 0.327921i −0.130850 0.0230724i
\(203\) 2.56770 + 10.2489i 0.180217 + 0.719334i
\(204\) 10.4870 3.50556i 0.734237 0.245438i
\(205\) 1.63769 1.37418i 0.114381 0.0959770i
\(206\) −9.00235 + 15.5925i −0.627223 + 1.08638i
\(207\) −24.7265 5.72350i −1.71861 0.397811i
\(208\) −5.75914 + 3.32504i −0.399325 + 0.230550i
\(209\) 2.53911 + 0.924161i 0.175634 + 0.0639255i
\(210\) −11.9431 + 0.531589i −0.824149 + 0.0366831i
\(211\) 0.224300 + 0.188210i 0.0154414 + 0.0129569i 0.650476 0.759527i \(-0.274570\pi\)
−0.635034 + 0.772484i \(0.719014\pi\)
\(212\) −2.30875 6.34325i −0.158566 0.435656i
\(213\) 0.142746 5.39217i 0.00978083 0.369466i
\(214\) 2.15084 + 12.1980i 0.147028 + 0.833838i
\(215\) 23.2272 1.58408
\(216\) −4.69189 + 2.23297i −0.319243 + 0.151934i
\(217\) 2.13177 0.952025i 0.144714 0.0646276i
\(218\) 5.10683 0.900473i 0.345878 0.0609877i
\(219\) 1.78670 + 1.09560i 0.120734 + 0.0740336i
\(220\) 1.52768 + 4.19726i 0.102996 + 0.282979i
\(221\) 27.2890 32.5218i 1.83566 2.18765i
\(222\) −8.81180 + 1.31435i −0.591410 + 0.0882134i
\(223\) 5.80906 15.9603i 0.389003 1.06878i −0.578448 0.815719i \(-0.696341\pi\)
0.967451 0.253058i \(-0.0814364\pi\)
\(224\) −2.14222 1.55270i −0.143133 0.103744i
\(225\) −4.98517 2.11945i −0.332345 0.141297i
\(226\) 9.26056 16.0398i 0.616003 1.06695i
\(227\) 20.3610 17.0849i 1.35141 1.13397i 0.372874 0.927882i \(-0.378372\pi\)
0.978534 0.206085i \(-0.0660722\pi\)
\(228\) −2.67842 0.545732i −0.177383 0.0361420i
\(229\) −0.678629 0.119661i −0.0448451 0.00790739i 0.151181 0.988506i \(-0.451692\pi\)
−0.196026 + 0.980599i \(0.562804\pi\)
\(230\) 3.83249 21.7351i 0.252707 1.43317i
\(231\) 7.48496 + 2.35302i 0.492474 + 0.154818i
\(232\) −3.05916 + 2.56694i −0.200844 + 0.168528i
\(233\) −4.56619 2.63629i −0.299141 0.172709i 0.342916 0.939366i \(-0.388585\pi\)
−0.642057 + 0.766657i \(0.721919\pi\)
\(234\) −10.8753 + 16.7255i −0.710940 + 1.09338i
\(235\) 9.17203 + 15.8864i 0.598318 + 1.03632i
\(236\) −0.847050 0.308301i −0.0551383 0.0200687i
\(237\) −14.7308 + 11.7105i −0.956871 + 0.760682i
\(238\) 16.2414 + 4.63722i 1.05278 + 0.300586i
\(239\) 7.71216 + 21.1890i 0.498858 + 1.37060i 0.892380 + 0.451285i \(0.149034\pi\)
−0.393522 + 0.919315i \(0.628743\pi\)
\(240\) −2.15491 3.97157i −0.139099 0.256364i
\(241\) 23.0229 4.05955i 1.48303 0.261499i 0.627244 0.778823i \(-0.284183\pi\)
0.855790 + 0.517324i \(0.173072\pi\)
\(242\) 8.06851i 0.518663i
\(243\) −9.50737 + 12.3535i −0.609898 + 0.792480i
\(244\) 4.28642i 0.274410i
\(245\) −15.5084 9.64189i −0.990798 0.615998i
\(246\) 1.24758 0.676917i 0.0795427 0.0431586i
\(247\) −9.86199 + 3.58947i −0.627503 + 0.228393i
\(248\) 0.675982 + 0.567216i 0.0429249 + 0.0360182i
\(249\) −1.32987 + 1.05720i −0.0842768 + 0.0669974i
\(250\) −2.85014 + 7.83071i −0.180259 + 0.495258i
\(251\) 9.14058 + 15.8320i 0.576949 + 0.999304i 0.995827 + 0.0912619i \(0.0290900\pi\)
−0.418878 + 0.908042i \(0.637577\pi\)
\(252\) −7.84023 1.23726i −0.493888 0.0779402i
\(253\) −7.24251 + 12.5444i −0.455333 + 0.788660i
\(254\) −1.47880 1.76237i −0.0927883 0.110581i
\(255\) 21.5991 + 19.1203i 1.35259 + 1.19736i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −0.169038 + 0.958665i −0.0105443 + 0.0597999i −0.989626 0.143668i \(-0.954110\pi\)
0.979082 + 0.203468i \(0.0652213\pi\)
\(258\) 15.1108 + 3.07885i 0.940760 + 0.191681i
\(259\) −12.2386 5.95198i −0.760469 0.369838i
\(260\) −15.0243 8.67427i −0.931766 0.537955i
\(261\) −4.68742 + 11.0253i −0.290144 + 0.682449i
\(262\) 11.9840 6.91894i 0.740371 0.427454i
\(263\) 7.50286 20.6139i 0.462646 1.27111i −0.460842 0.887482i \(-0.652452\pi\)
0.923488 0.383628i \(-0.125325\pi\)
\(264\) 0.437495 + 2.93310i 0.0269259 + 0.180520i
\(265\) 11.3195 13.4901i 0.695354 0.828691i
\(266\) −2.90390 3.00026i −0.178049 0.183957i
\(267\) 2.49871 4.07489i 0.152918 0.249379i
\(268\) 2.06631 + 11.7186i 0.126220 + 0.715829i
\(269\) −11.0618 −0.674447 −0.337224 0.941425i \(-0.609488\pi\)
−0.337224 + 0.941425i \(0.609488\pi\)
\(270\) −11.1649 7.68756i −0.679473 0.467850i
\(271\) 5.87429i 0.356838i 0.983955 + 0.178419i \(0.0570982\pi\)
−0.983955 + 0.178419i \(0.942902\pi\)
\(272\) 1.10857 + 6.28701i 0.0672169 + 0.381206i
\(273\) −28.1449 + 11.6860i −1.70341 + 0.707266i
\(274\) 9.31584 3.39069i 0.562791 0.204839i
\(275\) −1.98724 + 2.36830i −0.119835 + 0.142814i
\(276\) 5.37436 13.6322i 0.323499 0.820559i
\(277\) 9.97230 + 3.62962i 0.599177 + 0.218083i 0.623761 0.781615i \(-0.285604\pi\)
−0.0245838 + 0.999698i \(0.507826\pi\)
\(278\) −2.93512 5.08377i −0.176037 0.304904i
\(279\) 2.57910 + 0.596991i 0.154407 + 0.0357409i
\(280\) 0.713683 6.86515i 0.0426507 0.410271i
\(281\) −0.941246 1.12173i −0.0561500 0.0669170i 0.737238 0.675633i \(-0.236129\pi\)
−0.793388 + 0.608716i \(0.791685\pi\)
\(282\) 3.86122 + 11.5510i 0.229932 + 0.687851i
\(283\) −5.63290 0.993233i −0.334841 0.0590416i 0.00369981 0.999993i \(-0.498822\pi\)
−0.338541 + 0.940952i \(0.609933\pi\)
\(284\) 3.06695 + 0.540786i 0.181990 + 0.0320898i
\(285\) −2.26074 6.76310i −0.133915 0.400611i
\(286\) 7.31879 + 8.72219i 0.432769 + 0.515754i
\(287\) 2.15653 + 0.224187i 0.127296 + 0.0132334i
\(288\) −0.875469 2.86942i −0.0515875 0.169082i
\(289\) −11.8777 20.5728i −0.698689 1.21016i
\(290\) −9.78971 3.56316i −0.574872 0.209236i
\(291\) 11.6606 29.5774i 0.683559 1.73386i
\(292\) −0.777803 + 0.926949i −0.0455175 + 0.0542456i
\(293\) 19.9297 7.25381i 1.16430 0.423772i 0.313671 0.949532i \(-0.398441\pi\)
0.850633 + 0.525760i \(0.176219\pi\)
\(294\) −8.81122 8.32841i −0.513881 0.485723i
\(295\) −0.408347 2.31585i −0.0237749 0.134834i
\(296\) 5.14378i 0.298976i
\(297\) 5.16007 + 7.24734i 0.299418 + 0.420533i
\(298\) −2.97356 −0.172254
\(299\) −9.76950 55.4056i −0.564985 3.20419i
\(300\) 1.63488 2.66617i 0.0943901 0.153932i
\(301\) 16.3829 + 16.9265i 0.944295 + 0.975628i
\(302\) 1.07319 1.27898i 0.0617554 0.0735972i
\(303\) −0.482534 3.23505i −0.0277208 0.185849i
\(304\) 0.539763 1.48299i 0.0309575 0.0850551i
\(305\) 9.68413 5.59113i 0.554511 0.320147i
\(306\) 11.5172 + 15.3021i 0.658393 + 0.874761i
\(307\) −9.39899 5.42651i −0.536429 0.309707i 0.207202 0.978298i \(-0.433564\pi\)
−0.743630 + 0.668591i \(0.766898\pi\)
\(308\) −1.98118 + 4.07374i −0.112888 + 0.232123i
\(309\) −30.5572 6.22606i −1.73834 0.354188i
\(310\) −0.399748 + 2.26709i −0.0227042 + 0.128762i
\(311\) 1.03703 5.88131i 0.0588048 0.333499i −0.941186 0.337890i \(-0.890287\pi\)
0.999990 + 0.00439151i \(0.00139786\pi\)
\(312\) −8.62450 7.63472i −0.488266 0.432231i
\(313\) −2.45451 2.92517i −0.138737 0.165340i 0.692202 0.721704i \(-0.256641\pi\)
−0.830939 + 0.556363i \(0.812196\pi\)
\(314\) −3.76190 + 6.51580i −0.212296 + 0.367708i
\(315\) −7.43137 19.3270i −0.418710 1.08895i
\(316\) −5.43242 9.40923i −0.305598 0.529311i
\(317\) −6.10186 + 16.7647i −0.342715 + 0.941601i 0.641889 + 0.766798i \(0.278151\pi\)
−0.984603 + 0.174803i \(0.944071\pi\)
\(318\) 9.15230 7.27578i 0.513235 0.408006i
\(319\) 5.23778 + 4.39502i 0.293259 + 0.246074i
\(320\) 2.45144 0.892251i 0.137040 0.0498784i
\(321\) −18.8566 + 10.2313i −1.05247 + 0.571056i
\(322\) 18.5424 12.5376i 1.03333 0.698694i
\(323\) 10.0750i 0.560587i
\(324\) −6.24449 6.48123i −0.346916 0.360068i
\(325\) 12.0079i 0.666076i
\(326\) 6.99557 1.23351i 0.387449 0.0683177i
\(327\) 4.28346 + 7.89454i 0.236876 + 0.436569i
\(328\) 0.280280 + 0.770064i 0.0154759 + 0.0425197i
\(329\) −5.10770 + 17.8892i −0.281597 + 0.986266i
\(330\) −6.05597 + 4.81430i −0.333370 + 0.265019i
\(331\) 19.6490 + 7.15164i 1.08000 + 0.393090i 0.819909 0.572493i \(-0.194024\pi\)
0.260095 + 0.965583i \(0.416246\pi\)
\(332\) −0.490426 0.849443i −0.0269156 0.0466193i
\(333\) −6.99779 13.7534i −0.383477 0.753684i
\(334\) 10.2838 + 5.93733i 0.562702 + 0.324876i
\(335\) −23.7801 + 19.9539i −1.29925 + 1.09020i
\(336\) 1.37430 4.37165i 0.0749743 0.238493i
\(337\) 4.43907 25.1752i 0.241812 1.37138i −0.585970 0.810333i \(-0.699286\pi\)
0.827782 0.561050i \(-0.189602\pi\)
\(338\) −30.7493 5.42193i −1.67254 0.294914i
\(339\) 31.4337 + 6.40464i 1.70724 + 0.347852i
\(340\) −12.7580 + 10.7052i −0.691899 + 0.580572i
\(341\) 0.755432 1.30845i 0.0409089 0.0708563i
\(342\) −0.574293 4.69952i −0.0310542 0.254121i
\(343\) −3.91221 18.1023i −0.211240 0.977434i
\(344\) −3.04518 + 8.36655i −0.164185 + 0.451094i
\(345\) 37.8088 5.63948i 2.03556 0.303619i
\(346\) 3.55670 4.23871i 0.191210 0.227875i
\(347\) 1.84812 + 5.07767i 0.0992124 + 0.272584i 0.979362 0.202112i \(-0.0647804\pi\)
−0.880150 + 0.474695i \(0.842558\pi\)
\(348\) −5.89656 3.61574i −0.316089 0.193824i
\(349\) 13.2466 2.33574i 0.709076 0.125029i 0.192533 0.981291i \(-0.438330\pi\)
0.516543 + 0.856261i \(0.327219\pi\)
\(350\) 4.36212 1.94807i 0.233165 0.104129i
\(351\) −33.4468 8.68062i −1.78526 0.463337i
\(352\) −1.71216 −0.0912584
\(353\) 1.52656 + 8.65757i 0.0812507 + 0.460796i 0.998103 + 0.0615688i \(0.0196103\pi\)
−0.916852 + 0.399227i \(0.869279\pi\)
\(354\) 0.0413174 1.56074i 0.00219600 0.0829527i
\(355\) 2.77871 + 7.63443i 0.147478 + 0.405193i
\(356\) 2.11407 + 1.77392i 0.112046 + 0.0940175i
\(357\) 1.30087 + 29.2262i 0.0688492 + 1.54682i
\(358\) −17.7868 6.47386i −0.940060 0.342154i
\(359\) −23.4946 + 13.5646i −1.24000 + 0.715914i −0.969094 0.246692i \(-0.920656\pi\)
−0.270905 + 0.962606i \(0.587323\pi\)
\(360\) 5.34081 5.72073i 0.281485 0.301509i
\(361\) −8.25470 + 14.2976i −0.434458 + 0.752503i
\(362\) −9.92613 + 8.32901i −0.521706 + 0.437763i
\(363\) −13.2542 + 4.43055i −0.695663 + 0.232544i
\(364\) −4.27585 17.0670i −0.224116 0.894554i
\(365\) −3.10877 0.548160i −0.162721 0.0286920i
\(366\) 7.04131 2.35374i 0.368055 0.123032i
\(367\) −14.0714 16.7696i −0.734521 0.875368i 0.261434 0.965221i \(-0.415805\pi\)
−0.995955 + 0.0898533i \(0.971360\pi\)
\(368\) 7.32665 + 4.23005i 0.381928 + 0.220506i
\(369\) 1.79704 + 1.67769i 0.0935501 + 0.0873373i
\(370\) 11.6211 6.70946i 0.604154 0.348808i
\(371\) 17.8148 1.26604i 0.924899 0.0657297i
\(372\) −0.560574 + 1.42190i −0.0290644 + 0.0737223i
\(373\) 3.63872 + 3.05325i 0.188406 + 0.158091i 0.732112 0.681185i \(-0.238535\pi\)
−0.543706 + 0.839276i \(0.682979\pi\)
\(374\) 10.2712 3.73843i 0.531113 0.193309i
\(375\) −14.4286 0.381966i −0.745089 0.0197247i
\(376\) −6.92487 + 1.22104i −0.357123 + 0.0629704i
\(377\) −26.5568 −1.36775
\(378\) −2.27275 13.5586i −0.116897 0.697377i
\(379\) 25.0501 1.28674 0.643368 0.765557i \(-0.277537\pi\)
0.643368 + 0.765557i \(0.277537\pi\)
\(380\) 4.05451 0.714919i 0.207992 0.0366746i
\(381\) 2.08301 3.39698i 0.106716 0.174032i
\(382\) −1.15755 + 0.421312i −0.0592252 + 0.0215562i
\(383\) 8.07952 + 6.77952i 0.412844 + 0.346417i 0.825433 0.564500i \(-0.190931\pi\)
−0.412589 + 0.910917i \(0.635375\pi\)
\(384\) 1.71310 0.255522i 0.0874212 0.0130396i
\(385\) −11.7879 + 0.837727i −0.600765 + 0.0426945i
\(386\) 22.7376 13.1276i 1.15732 0.668176i
\(387\) 3.23999 + 26.5133i 0.164698 + 1.34775i
\(388\) 15.8965 + 9.17783i 0.807021 + 0.465934i
\(389\) −14.6938 17.5114i −0.745007 0.887865i 0.251795 0.967781i \(-0.418979\pi\)
−0.996802 + 0.0799161i \(0.974535\pi\)
\(390\) 5.99916 29.4436i 0.303779 1.49093i
\(391\) −53.1887 9.37860i −2.68987 0.474296i
\(392\) 5.50628 4.32214i 0.278109 0.218301i
\(393\) 17.9464 + 15.8868i 0.905274 + 0.801381i
\(394\) −8.08298 + 6.78242i −0.407215 + 0.341694i
\(395\) 14.1719 24.5465i 0.713067 1.23507i
\(396\) −4.57797 + 2.32929i −0.230052 + 0.117051i
\(397\) −14.8355 + 8.56528i −0.744572 + 0.429879i −0.823729 0.566983i \(-0.808110\pi\)
0.0791571 + 0.996862i \(0.474777\pi\)
\(398\) −6.40359 2.33072i −0.320983 0.116828i
\(399\) 3.33395 6.41773i 0.166906 0.321288i
\(400\) 1.38322 + 1.16066i 0.0691612 + 0.0580331i
\(401\) −7.32564 20.1270i −0.365825 1.00510i −0.976932 0.213549i \(-0.931498\pi\)
0.611107 0.791548i \(-0.290724\pi\)
\(402\) −18.1156 + 9.82922i −0.903522 + 0.490237i
\(403\) 1.01901 + 5.77909i 0.0507605 + 0.287877i
\(404\) 1.88842 0.0939525
\(405\) 6.49755 22.5619i 0.322866 1.12111i
\(406\) −4.30840 9.64735i −0.213822 0.478790i
\(407\) −8.67318 + 1.52932i −0.429913 + 0.0758053i
\(408\) −9.71895 + 5.27335i −0.481160 + 0.261070i
\(409\) 4.78260 + 13.1401i 0.236484 + 0.649735i 0.999992 + 0.00393670i \(0.00125309\pi\)
−0.763508 + 0.645798i \(0.776525\pi\)
\(410\) −1.37418 + 1.63769i −0.0678660 + 0.0808795i
\(411\) 10.6854 + 13.4413i 0.527071 + 0.663009i
\(412\) 6.15797 16.9189i 0.303381 0.833533i
\(413\) 1.39963 1.93102i 0.0688711 0.0950195i
\(414\) 25.3447 + 1.34284i 1.24563 + 0.0659969i
\(415\) 1.27941 2.21600i 0.0628037 0.108779i
\(416\) 5.09426 4.27459i 0.249767 0.209579i
\(417\) 6.73940 7.61311i 0.330030 0.372816i
\(418\) −2.66101 0.469209i −0.130154 0.0229497i
\(419\) −0.291638 + 1.65396i −0.0142475 + 0.0808014i −0.991102 0.133101i \(-0.957506\pi\)
0.976855 + 0.213903i \(0.0686175\pi\)
\(420\) 11.6693 2.59740i 0.569404 0.126740i
\(421\) 22.7105 19.0564i 1.10684 0.928752i 0.108977 0.994044i \(-0.465242\pi\)
0.997866 + 0.0652923i \(0.0207980\pi\)
\(422\) −0.253575 0.146401i −0.0123438 0.00712671i
\(423\) −16.8546 + 12.6857i −0.819497 + 0.616799i
\(424\) 3.37517 + 5.84597i 0.163913 + 0.283906i
\(425\) −10.8322 3.94260i −0.525439 0.191244i
\(426\) 0.795763 + 5.33504i 0.0385549 + 0.258484i
\(427\) 10.9050 + 3.11358i 0.527730 + 0.150677i
\(428\) −4.23632 11.6392i −0.204770 0.562602i
\(429\) −10.3091 + 16.8121i −0.497728 + 0.811695i
\(430\) −22.8743 + 4.03336i −1.10310 + 0.194506i
\(431\) 4.02188i 0.193727i 0.995298 + 0.0968635i \(0.0308810\pi\)
−0.995298 + 0.0968635i \(0.969119\pi\)
\(432\) 4.23286 3.01378i 0.203654 0.145001i
\(433\) 13.4318i 0.645489i 0.946486 + 0.322744i \(0.104605\pi\)
−0.946486 + 0.322744i \(0.895395\pi\)
\(434\) −1.93407 + 1.30774i −0.0928382 + 0.0627735i
\(435\) 0.477523 18.0382i 0.0228955 0.864864i
\(436\) −4.87288 + 1.77358i −0.233369 + 0.0849393i
\(437\) 10.2278 + 8.58211i 0.489260 + 0.410538i
\(438\) −1.94981 0.768695i −0.0931653 0.0367297i
\(439\) 0.194851 0.535350i 0.00929975 0.0255509i −0.934956 0.354764i \(-0.884561\pi\)
0.944256 + 0.329213i \(0.106783\pi\)
\(440\) −2.23331 3.86821i −0.106469 0.184410i
\(441\) 8.84270 19.0475i 0.421081 0.907023i
\(442\) −21.2271 + 36.7664i −1.00967 + 1.74880i
\(443\) 20.8026 + 24.7916i 0.988360 + 1.17788i 0.984050 + 0.177891i \(0.0569276\pi\)
0.00431031 + 0.999991i \(0.498628\pi\)
\(444\) 8.44970 2.82454i 0.401005 0.134047i
\(445\) −1.25018 + 7.09011i −0.0592641 + 0.336103i
\(446\) −2.94934 + 16.7265i −0.139655 + 0.792023i
\(447\) −1.63283 4.88467i −0.0772303 0.231037i
\(448\) 2.37930 + 1.15712i 0.112411 + 0.0546689i
\(449\) 6.83982 + 3.94897i 0.322791 + 0.186364i 0.652636 0.757672i \(-0.273663\pi\)
−0.329845 + 0.944035i \(0.606996\pi\)
\(450\) 5.27747 + 1.22159i 0.248782 + 0.0575863i
\(451\) 1.21511 0.701545i 0.0572174 0.0330345i
\(452\) −6.33459 + 17.4042i −0.297954 + 0.818622i
\(453\) 2.69030 + 1.06063i 0.126401 + 0.0498326i
\(454\) −17.0849 + 20.3610i −0.801835 + 0.955590i
\(455\) 32.9814 31.9222i 1.54619 1.49654i
\(456\) 2.73250 + 0.0723372i 0.127961 + 0.00338750i
\(457\) −4.40132 24.9611i −0.205885 1.16763i −0.896041 0.443971i \(-0.853569\pi\)
0.690156 0.723660i \(-0.257542\pi\)
\(458\) 0.689098 0.0321994
\(459\) −18.8125 + 27.3219i −0.878091 + 1.27528i
\(460\) 22.0704i 1.02904i
\(461\) 6.86447 + 38.9304i 0.319710 + 1.81317i 0.544500 + 0.838761i \(0.316719\pi\)
−0.224790 + 0.974407i \(0.572170\pi\)
\(462\) −7.77984 1.01753i −0.361951 0.0473396i
\(463\) 9.30119 3.38536i 0.432263 0.157331i −0.116719 0.993165i \(-0.537238\pi\)
0.548982 + 0.835834i \(0.315016\pi\)
\(464\) 2.56694 3.05916i 0.119167 0.142018i
\(465\) −3.94365 + 0.588227i −0.182883 + 0.0272784i
\(466\) 4.95461 + 1.80333i 0.229518 + 0.0835376i
\(467\) 12.3433 + 21.3792i 0.571180 + 0.989313i 0.996445 + 0.0842444i \(0.0268477\pi\)
−0.425265 + 0.905069i \(0.639819\pi\)
\(468\) 7.80572 18.3598i 0.360819 0.848684i
\(469\) −31.3141 3.25533i −1.44595 0.150317i
\(470\) −11.7913 14.0524i −0.543894 0.648188i
\(471\) −12.7692 2.60175i −0.588376 0.119882i
\(472\) 0.887718 + 0.156529i 0.0408605 + 0.00720481i
\(473\) 15.0126 + 2.64713i 0.690281 + 0.121715i
\(474\) 12.4735 14.0906i 0.572928 0.647204i
\(475\) 1.83171 + 2.18295i 0.0840447 + 0.100161i
\(476\) −16.7999 1.74648i −0.770024 0.0800496i
\(477\) 16.9776 + 11.0392i 0.777352 + 0.505452i
\(478\) −11.2744 19.5279i −0.515680 0.893184i
\(479\) 3.12136 + 1.13608i 0.142619 + 0.0519090i 0.412343 0.911029i \(-0.364710\pi\)
−0.269725 + 0.962938i \(0.586933\pi\)
\(480\) 2.81183 + 3.53704i 0.128342 + 0.161443i
\(481\) 21.9876 26.2038i 1.00255 1.19479i
\(482\) −21.9682 + 7.99576i −1.00062 + 0.364197i
\(483\) 30.7775 + 23.5750i 1.40043 + 1.07270i
\(484\) −1.40108 7.94593i −0.0636855 0.361179i
\(485\) 47.8857i 2.17438i
\(486\) 7.21777 13.8168i 0.327405 0.626743i
\(487\) −27.7371 −1.25689 −0.628445 0.777854i \(-0.716308\pi\)
−0.628445 + 0.777854i \(0.716308\pi\)
\(488\) 0.744328 + 4.22130i 0.0336942 + 0.191089i
\(489\) 5.86767 + 10.8143i 0.265345 + 0.489040i
\(490\) 16.9471 + 6.80240i 0.765593 + 0.307301i
\(491\) 6.47307 7.71430i 0.292125 0.348142i −0.599942 0.800043i \(-0.704810\pi\)
0.892068 + 0.451902i \(0.149254\pi\)
\(492\) −1.11108 + 0.883273i −0.0500913 + 0.0398210i
\(493\) −8.71953 + 23.9567i −0.392708 + 1.07896i
\(494\) 9.08886 5.24745i 0.408927 0.236094i
\(495\) −11.2339 7.30454i −0.504926 0.328315i
\(496\) −0.764208 0.441216i −0.0343140 0.0198112i
\(497\) −3.60358 + 7.40977i −0.161643 + 0.332373i
\(498\) 1.12608 1.27207i 0.0504609 0.0570027i
\(499\) 2.56761 14.5616i 0.114942 0.651868i −0.871837 0.489796i \(-0.837071\pi\)
0.986779 0.162072i \(-0.0518176\pi\)
\(500\) 1.44706 8.20667i 0.0647143 0.367013i
\(501\) −4.10628 + 20.1534i −0.183455 + 0.900389i
\(502\) −11.7509 14.0042i −0.524469 0.625037i
\(503\) 4.12896 7.15158i 0.184101 0.318873i −0.759172 0.650890i \(-0.774396\pi\)
0.943273 + 0.332017i \(0.107729\pi\)
\(504\) 7.93597 0.142976i 0.353496 0.00636865i
\(505\) 2.46323 + 4.26643i 0.109612 + 0.189854i
\(506\) 4.95417 13.6115i 0.220240 0.605104i
\(507\) −7.97833 53.4892i −0.354330 2.37554i
\(508\) 1.76237 + 1.47880i 0.0781924 + 0.0656112i
\(509\) −22.9263 + 8.34449i −1.01619 + 0.369863i −0.795807 0.605551i \(-0.792953\pi\)
−0.220383 + 0.975413i \(0.570731\pi\)
\(510\) −24.5911 15.0792i −1.08891 0.667716i
\(511\) −1.79326 2.65212i −0.0793289 0.117323i
\(512\) 1.00000i 0.0441942i
\(513\) 7.40457 3.52398i 0.326920 0.155588i
\(514\) 0.973454i 0.0429372i
\(515\) 46.2565 8.15626i 2.03830 0.359408i
\(516\) −15.4159 0.408104i −0.678648 0.0179658i
\(517\) 4.11771 + 11.3133i 0.181097 + 0.497560i
\(518\) 13.0862 + 3.73635i 0.574975 + 0.164166i
\(519\) 8.91599 + 3.51506i 0.391368 + 0.154294i
\(520\) 16.3023 + 5.93355i 0.714903 + 0.260203i
\(521\) 14.6429 + 25.3623i 0.641518 + 1.11114i 0.985094 + 0.172017i \(0.0550285\pi\)
−0.343575 + 0.939125i \(0.611638\pi\)
\(522\) 2.70169 11.6718i 0.118250 0.510859i
\(523\) 24.7419 + 14.2847i 1.08189 + 0.624628i 0.931405 0.363985i \(-0.118584\pi\)
0.150482 + 0.988613i \(0.451917\pi\)
\(524\) −10.6004 + 8.89482i −0.463082 + 0.388572i
\(525\) 5.59542 + 6.09595i 0.244204 + 0.266049i
\(526\) −3.80930 + 21.6036i −0.166093 + 0.941963i
\(527\) 5.54785 + 0.978236i 0.241668 + 0.0426126i
\(528\) −0.940176 2.81257i −0.0409159 0.122401i
\(529\) −37.2092 + 31.2222i −1.61779 + 1.35749i
\(530\) −8.80504 + 15.2508i −0.382467 + 0.662452i
\(531\) 2.58653 0.789159i 0.112246 0.0342466i
\(532\) 3.38077 + 2.45042i 0.146575 + 0.106239i
\(533\) −1.86389 + 5.12099i −0.0807340 + 0.221815i
\(534\) −1.75315 + 4.44688i −0.0758661 + 0.192435i
\(535\) 20.7702 24.7529i 0.897973 1.07016i
\(536\) −4.06984 11.1818i −0.175790 0.482979i
\(537\) 0.867604 32.7733i 0.0374399 1.41427i
\(538\) 10.8937 1.92085i 0.469661 0.0828139i
\(539\) −8.92485 7.99938i −0.384421 0.344558i
\(540\) 12.3302 + 5.63201i 0.530607 + 0.242363i
\(541\) 26.0907 1.12173 0.560864 0.827908i \(-0.310469\pi\)
0.560864 + 0.827908i \(0.310469\pi\)
\(542\) −1.02006 5.78505i −0.0438154 0.248489i
\(543\) −19.1327 11.7321i −0.821062 0.503472i
\(544\) −2.18346 5.99900i −0.0936149 0.257205i
\(545\) −10.3631 8.69567i −0.443906 0.372482i
\(546\) 25.6881 16.3957i 1.09935 0.701673i
\(547\) −40.8376 14.8637i −1.74609 0.635525i −0.746536 0.665345i \(-0.768284\pi\)
−0.999555 + 0.0298202i \(0.990507\pi\)
\(548\) −8.58553 + 4.95686i −0.366756 + 0.211746i
\(549\) 7.73300 + 10.2743i 0.330036 + 0.438496i
\(550\) 1.54580 2.67740i 0.0659130 0.114165i
\(551\) 4.82785 4.05105i 0.205673 0.172581i
\(552\) −2.92552 + 14.3583i −0.124518 + 0.611130i
\(553\) 27.8839 6.98585i 1.18574 0.297068i
\(554\) −10.4511 1.84281i −0.444024 0.0782933i
\(555\) 17.4030 + 15.4058i 0.738717 + 0.653939i
\(556\) 3.77331 + 4.49686i 0.160024 + 0.190709i
\(557\) −2.66929 1.54111i −0.113101 0.0652990i 0.442382 0.896827i \(-0.354133\pi\)
−0.555483 + 0.831528i \(0.687467\pi\)
\(558\) −2.64359 0.140065i −0.111912 0.00592942i
\(559\) −51.2765 + 29.6045i −2.16877 + 1.25214i
\(560\) 0.489281 + 6.88479i 0.0206759 + 0.290935i
\(561\) 11.7812 + 14.8198i 0.497404 + 0.625691i
\(562\) 1.12173 + 0.941246i 0.0473175 + 0.0397041i
\(563\) 7.80618 2.84122i 0.328991 0.119743i −0.172243 0.985054i \(-0.555102\pi\)
0.501235 + 0.865311i \(0.332879\pi\)
\(564\) −5.80837 10.7050i −0.244577 0.450762i
\(565\) −47.5832 + 8.39021i −2.00184 + 0.352979i
\(566\) 5.71980 0.240421
\(567\) 21.0247 11.1787i 0.882954 0.469460i
\(568\) −3.11426 −0.130672
\(569\) −14.6123 + 2.57654i −0.612579 + 0.108014i −0.471326 0.881959i \(-0.656224\pi\)
−0.141253 + 0.989973i \(0.545113\pi\)
\(570\) 3.40080 + 6.26778i 0.142444 + 0.262528i
\(571\) 18.9116 6.88326i 0.791425 0.288055i 0.0854969 0.996338i \(-0.472752\pi\)
0.705928 + 0.708283i \(0.250530\pi\)
\(572\) −8.72219 7.31879i −0.364693 0.306014i
\(573\) −1.32772 1.67015i −0.0554663 0.0697717i
\(574\) −2.16270 + 0.153696i −0.0902693 + 0.00641517i
\(575\) −13.2295 + 7.63806i −0.551709 + 0.318529i
\(576\) 1.36044 + 2.67380i 0.0566849 + 0.111408i
\(577\) −13.3663 7.71706i −0.556448 0.321265i 0.195271 0.980749i \(-0.437442\pi\)
−0.751719 + 0.659484i \(0.770775\pi\)
\(578\) 15.2697 + 18.1977i 0.635135 + 0.756925i
\(579\) 34.0503 + 30.1426i 1.41508 + 1.25268i
\(580\) 10.2597 + 1.80907i 0.426012 + 0.0751174i
\(581\) 2.51729 0.630666i 0.104435 0.0261644i
\(582\) −6.34743 + 31.1529i −0.263109 + 1.29133i
\(583\) 8.85369 7.42913i 0.366682 0.307683i
\(584\) 0.605023 1.04793i 0.0250360 0.0433637i
\(585\) 51.6613 6.31313i 2.13593 0.261016i
\(586\) −18.3673 + 10.6044i −0.758745 + 0.438062i
\(587\) 21.2817 + 7.74592i 0.878391 + 0.319708i 0.741560 0.670886i \(-0.234086\pi\)
0.136831 + 0.990594i \(0.456308\pi\)
\(588\) 10.1236 + 6.67183i 0.417489 + 0.275141i
\(589\) −1.06681 0.895158i −0.0439571 0.0368844i
\(590\) 0.804286 + 2.20976i 0.0331119 + 0.0909743i
\(591\) −15.5800 9.55359i −0.640876 0.392982i
\(592\) 0.893208 + 5.06563i 0.0367106 + 0.208196i
\(593\) 3.92178 0.161048 0.0805242 0.996753i \(-0.474341\pi\)
0.0805242 + 0.996753i \(0.474341\pi\)
\(594\) −6.34017 6.24120i −0.260140 0.256079i
\(595\) −17.9678 40.2335i −0.736609 1.64941i
\(596\) 2.92838 0.516353i 0.119951 0.0211506i
\(597\) 0.312355 11.7990i 0.0127838 0.482902i
\(598\) 19.2422 + 52.8674i 0.786871 + 2.16191i
\(599\) −6.18718 + 7.37360i −0.252802 + 0.301277i −0.877488 0.479599i \(-0.840782\pi\)
0.624687 + 0.780876i \(0.285227\pi\)
\(600\) −1.14707 + 2.90956i −0.0468290 + 0.118782i
\(601\) 2.98399 8.19846i 0.121720 0.334422i −0.863836 0.503773i \(-0.831945\pi\)
0.985556 + 0.169351i \(0.0541671\pi\)
\(602\) −19.0733 13.8245i −0.777368 0.563445i
\(603\) −26.0940 24.3611i −1.06263 0.992060i
\(604\) −0.834797 + 1.44591i −0.0339674 + 0.0588333i
\(605\) 16.1244 13.5299i 0.655549 0.550071i
\(606\) 1.03696 + 3.10211i 0.0421238 + 0.126015i
\(607\) −20.4674 3.60895i −0.830745 0.146483i −0.257926 0.966165i \(-0.583039\pi\)
−0.572819 + 0.819682i \(0.694150\pi\)
\(608\) −0.274045 + 1.55419i −0.0111140 + 0.0630305i
\(609\) 13.4819 12.3749i 0.546315 0.501458i
\(610\) −8.56611 + 7.18782i −0.346832 + 0.291026i
\(611\) −40.4966 23.3807i −1.63832 0.945882i
\(612\) −13.9994 13.0697i −0.565892 0.528310i
\(613\) 14.4313 + 24.9958i 0.582875 + 1.00957i 0.995137 + 0.0985035i \(0.0314056\pi\)
−0.412262 + 0.911065i \(0.635261\pi\)
\(614\) 10.1985 + 3.71195i 0.411578 + 0.149802i
\(615\) −3.44482 1.35809i −0.138908 0.0547635i
\(616\) 1.24368 4.35588i 0.0501094 0.175503i
\(617\) −5.76580 15.8414i −0.232122 0.637751i 0.767874 0.640601i \(-0.221315\pi\)
−0.999996 + 0.00285055i \(0.999093\pi\)
\(618\) 31.1741 + 0.825269i 1.25401 + 0.0331972i
\(619\) −11.3516 + 2.00160i −0.456261 + 0.0804511i −0.397055 0.917795i \(-0.629968\pi\)
−0.0592057 + 0.998246i \(0.518857\pi\)
\(620\) 2.30206i 0.0924529i
\(621\) 11.7113 + 42.3712i 0.469959 + 1.70030i
\(622\) 5.97204i 0.239457i
\(623\) −6.04862 + 4.08984i −0.242333 + 0.163856i
\(624\) 9.81923 + 6.02110i 0.393084 + 0.241037i
\(625\) 28.9124 10.5232i 1.15649 0.420930i
\(626\) 2.92517 + 2.45451i 0.116913 + 0.0981019i
\(627\) −0.690437 4.62890i −0.0275734 0.184861i
\(628\) 2.57329 7.07006i 0.102685 0.282126i
\(629\) −16.4189 28.4384i −0.654666 1.13391i
\(630\) 10.6746 + 17.7429i 0.425285 + 0.706894i
\(631\) 11.5880 20.0711i 0.461313 0.799017i −0.537714 0.843127i \(-0.680712\pi\)
0.999027 + 0.0441100i \(0.0140452\pi\)
\(632\) 6.98379 + 8.32295i 0.277800 + 0.331069i
\(633\) 0.101252 0.496939i 0.00402440 0.0197516i
\(634\) 3.09800 17.5696i 0.123037 0.697779i
\(635\) −1.04219 + 5.91057i −0.0413582 + 0.234554i
\(636\) −7.74983 + 8.75453i −0.307301 + 0.347140i
\(637\) 46.5258 + 1.51903i 1.84342 + 0.0601861i
\(638\) −5.92139 3.41872i −0.234430 0.135348i
\(639\) −8.32692 + 4.23676i −0.329408 + 0.167604i
\(640\) −2.25926 + 1.30438i −0.0893051 + 0.0515603i
\(641\) −5.63020 + 15.4689i −0.222380 + 0.610983i −0.999839 0.0179503i \(-0.994286\pi\)
0.777459 + 0.628933i \(0.216508\pi\)
\(642\) 16.7935 13.3503i 0.662786 0.526894i
\(643\) −20.4845 + 24.4125i −0.807832 + 0.962736i −0.999826 0.0186599i \(-0.994060\pi\)
0.191994 + 0.981396i \(0.438504\pi\)
\(644\) −16.0835 + 15.5670i −0.633780 + 0.613426i
\(645\) −19.1863 35.3609i −0.755458 1.39233i
\(646\) −1.74950 9.92192i −0.0688332 0.390373i
\(647\) −18.2647 −0.718060 −0.359030 0.933326i \(-0.616892\pi\)
−0.359030 + 0.933326i \(0.616892\pi\)
\(648\) 7.27508 + 5.29842i 0.285792 + 0.208141i
\(649\) 1.54336i 0.0605823i
\(650\) 2.08514 + 11.8254i 0.0817860 + 0.463832i
\(651\) −3.21025 2.45899i −0.125820 0.0963756i
\(652\) −6.67510 + 2.42954i −0.261417 + 0.0951480i
\(653\) 8.08178 9.63149i 0.316264 0.376909i −0.584370 0.811488i \(-0.698658\pi\)
0.900634 + 0.434578i \(0.143103\pi\)
\(654\) −5.58925 7.03079i −0.218557 0.274926i
\(655\) −33.9227 12.3469i −1.32547 0.482432i
\(656\) −0.409743 0.709695i −0.0159978 0.0277089i
\(657\) 0.192066 3.62505i 0.00749321 0.141427i
\(658\) 1.92367 18.5044i 0.0749924 0.721377i
\(659\) 11.1909 + 13.3368i 0.435935 + 0.519527i 0.938625 0.344940i \(-0.112101\pi\)
−0.502690 + 0.864467i \(0.667656\pi\)
\(660\) 5.12797 5.79277i 0.199606 0.225483i
\(661\) −17.2877 3.04829i −0.672413 0.118565i −0.172991 0.984923i \(-0.555343\pi\)
−0.499422 + 0.866359i \(0.666454\pi\)
\(662\) −20.5923 3.63098i −0.800343 0.141122i
\(663\) −72.0523 14.6807i −2.79828 0.570152i
\(664\) 0.630480 + 0.751377i 0.0244674 + 0.0291591i
\(665\) −1.12631 + 10.8343i −0.0436763 + 0.420137i
\(666\) 9.27974 + 12.3293i 0.359583 + 0.477752i
\(667\) 16.8925 + 29.2587i 0.654080 + 1.13290i
\(668\) −11.1585 4.06137i −0.431737 0.157139i
\(669\) −29.0962 + 4.33993i −1.12492 + 0.167791i
\(670\) 19.9539 23.7801i 0.770887 0.918707i
\(671\) 6.89643 2.51010i 0.266234 0.0969012i
\(672\) −0.594294 + 4.54388i −0.0229254 + 0.175284i
\(673\) 5.35143 + 30.3495i 0.206283 + 1.16989i 0.895409 + 0.445245i \(0.146883\pi\)
−0.689126 + 0.724641i \(0.742005\pi\)
\(674\) 25.5636i 0.984673i
\(675\) 0.891241 + 9.34011i 0.0343039 + 0.359501i
\(676\) 31.2236 1.20091
\(677\) −3.20150 18.1566i −0.123044 0.697814i −0.982451 0.186523i \(-0.940278\pi\)
0.859407 0.511292i \(-0.170833\pi\)
\(678\) −32.0683 0.848940i −1.23157 0.0326033i
\(679\) −34.8961 + 33.7754i −1.33919 + 1.29618i
\(680\) 10.7052 12.7580i 0.410526 0.489246i
\(681\) −42.8287 16.8849i −1.64120 0.647030i
\(682\) −0.516746 + 1.41975i −0.0197872 + 0.0543649i
\(683\) −3.63658 + 2.09958i −0.139150 + 0.0803382i −0.567959 0.823057i \(-0.692267\pi\)
0.428809 + 0.903395i \(0.358933\pi\)
\(684\) 1.38163 + 4.52840i 0.0528280 + 0.173148i
\(685\) −22.3976 12.9313i −0.855770 0.494079i
\(686\) 6.99621 + 17.1480i 0.267117 + 0.654713i
\(687\) 0.378395 + 1.13198i 0.0144367 + 0.0431878i
\(688\) 1.54608 8.76824i 0.0589436 0.334286i
\(689\) −7.79513 + 44.2084i −0.296971 + 1.68421i
\(690\) −36.2551 + 12.1192i −1.38021 + 0.461371i
\(691\) −7.54937 8.99699i −0.287192 0.342262i 0.603089 0.797674i \(-0.293936\pi\)
−0.890281 + 0.455412i \(0.849492\pi\)
\(692\) −2.76662 + 4.79193i −0.105171 + 0.182162i
\(693\) −2.60055 13.3387i −0.0987867 0.506696i
\(694\) −2.70177 4.67961i −0.102558 0.177635i
\(695\) −5.23772 + 14.3905i −0.198678 + 0.545864i
\(696\) 6.43485 + 2.53688i 0.243912 + 0.0961604i
\(697\) 4.00763 + 3.36280i 0.151800 + 0.127375i
\(698\) −12.6398 + 4.60051i −0.478423 + 0.174132i
\(699\) −0.241676 + 9.12918i −0.00914102 + 0.345297i
\(700\) −3.95757 + 2.67595i −0.149582 + 0.101142i
\(701\) 18.0424i 0.681453i 0.940162 + 0.340726i \(0.110673\pi\)
−0.940162 + 0.340726i \(0.889327\pi\)
\(702\) 34.4460 + 2.74078i 1.30008 + 0.103444i
\(703\) 8.11772i 0.306165i
\(704\) 1.68615 0.297313i 0.0635491 0.0112054i
\(705\) 16.6090 27.0861i 0.625533 1.02012i
\(706\) −3.00674 8.26095i −0.113160 0.310905i
\(707\) −1.37172 + 4.80431i −0.0515887 + 0.180685i
\(708\) 0.230331 + 1.54421i 0.00865636 + 0.0580349i
\(709\) −24.2443 8.82421i −0.910514 0.331400i −0.156056 0.987748i \(-0.549878\pi\)
−0.754458 + 0.656348i \(0.772100\pi\)
\(710\) −4.06220 7.03593i −0.152451 0.264054i
\(711\) 29.9961 + 12.7529i 1.12494 + 0.478271i
\(712\) −2.38999 1.37986i −0.0895688 0.0517126i
\(713\) 5.71887 4.79870i 0.214173 0.179713i
\(714\) −6.35618 28.5563i −0.237874 1.06869i
\(715\) 5.15795 29.2522i 0.192896 1.09397i
\(716\) 18.6407 + 3.28686i 0.696637 + 0.122836i
\(717\) 25.8875 29.2436i 0.966786 1.09212i
\(718\) 20.7822 17.4383i 0.775585 0.650793i
\(719\) 17.8367 30.8941i 0.665198 1.15216i −0.314034 0.949412i \(-0.601681\pi\)
0.979232 0.202744i \(-0.0649860\pi\)
\(720\) −4.26627 + 6.56124i −0.158995 + 0.244523i
\(721\) 38.5700 + 27.9560i 1.43642 + 1.04113i
\(722\) 5.64655 15.5138i 0.210143 0.577363i
\(723\) −25.1977 31.6966i −0.937114 1.17881i
\(724\) 8.32901 9.92613i 0.309545 0.368902i
\(725\) 2.46626 + 6.77599i 0.0915945 + 0.251654i
\(726\) 12.2834 6.66480i 0.455881 0.247354i
\(727\) 17.0647 3.00897i 0.632895 0.111596i 0.152008 0.988379i \(-0.451426\pi\)
0.480886 + 0.876783i \(0.340315\pi\)
\(728\) 7.17455 + 16.0652i 0.265906 + 0.595417i
\(729\) 26.6603 + 4.26961i 0.987418 + 0.158134i
\(730\) 3.15673 0.116836
\(731\) 9.87015 + 55.9764i 0.365061 + 2.07036i
\(732\) −6.52561 + 3.54069i −0.241194 + 0.130868i
\(733\) 1.69293 + 4.65129i 0.0625298 + 0.171799i 0.967023 0.254689i \(-0.0819729\pi\)
−0.904493 + 0.426488i \(0.859751\pi\)
\(734\) 16.7696 + 14.0714i 0.618979 + 0.519385i
\(735\) −1.86836 + 31.5744i −0.0689154 + 1.16464i
\(736\) −7.94988 2.89352i −0.293037 0.106657i
\(737\) −17.6441 + 10.1868i −0.649930 + 0.375237i
\(738\) −2.06107 1.34015i −0.0758689 0.0493317i
\(739\) 10.0817 17.4621i 0.370863 0.642353i −0.618836 0.785520i \(-0.712395\pi\)
0.989699 + 0.143167i \(0.0457287\pi\)
\(740\) −10.2795 + 8.62552i −0.377882 + 0.317080i
\(741\) 13.6108 + 12.0488i 0.500007 + 0.442625i
\(742\) −17.3243 + 4.34032i −0.635996 + 0.159338i
\(743\) 11.0456 + 1.94764i 0.405224 + 0.0714519i 0.372545 0.928014i \(-0.378485\pi\)
0.0326787 + 0.999466i \(0.489596\pi\)
\(744\) 0.305147 1.49765i 0.0111872 0.0549063i
\(745\) 4.98631 + 5.94246i 0.182684 + 0.217715i
\(746\) −4.11363 2.37500i −0.150611 0.0869551i
\(747\) 2.70798 + 1.15130i 0.0990798 + 0.0421240i
\(748\) −9.46603 + 5.46521i −0.346112 + 0.199828i
\(749\) 32.6883 2.32306i 1.19440 0.0848827i
\(750\) 14.2757 2.12933i 0.521275 0.0777523i
\(751\) −1.24071 1.04108i −0.0452740 0.0379894i 0.619870 0.784705i \(-0.287185\pi\)
−0.665144 + 0.746715i \(0.731630\pi\)
\(752\) 6.60763 2.40498i 0.240956 0.0877007i
\(753\) 16.5521 26.9932i 0.603192 0.983686i
\(754\) 26.1534 4.61154i 0.952449 0.167942i
\(755\) −4.35558 −0.158516
\(756\) 4.59264 + 12.9579i 0.167033 + 0.471275i
\(757\) 25.8070 0.937972 0.468986 0.883206i \(-0.344619\pi\)
0.468986 + 0.883206i \(0.344619\pi\)
\(758\) −24.6695 + 4.34990i −0.896036 + 0.157995i
\(759\) 25.0800 + 0.663941i 0.910347 + 0.0240995i
\(760\) −3.86877 + 1.40812i −0.140335 + 0.0510777i
\(761\) 28.5821 + 23.9832i 1.03610 + 0.869391i 0.991564 0.129617i \(-0.0413747\pi\)
0.0445359 + 0.999008i \(0.485819\pi\)
\(762\) −1.46149 + 3.70708i −0.0529441 + 0.134293i
\(763\) −0.972575 13.6853i −0.0352096 0.495442i
\(764\) 1.06680 0.615918i 0.0385955 0.0222831i
\(765\) 11.2672 48.6761i 0.407365 1.75989i
\(766\) −9.13403 5.27353i −0.330026 0.190540i
\(767\) 3.85317 + 4.59203i 0.139130 + 0.165809i
\(768\) −1.64270 + 0.549117i −0.0592759 + 0.0198145i
\(769\) −24.6590 4.34804i −0.889226