Properties

Label 230.2.l.a.7.11
Level $230$
Weight $2$
Character 230.7
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.11
Character \(\chi\) \(=\) 230.7
Dual form 230.2.l.a.33.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.452602 - 2.08058i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-1.62540 - 1.53561i) q^{5} +(0.303022 - 2.10757i) q^{6} +(-0.567213 + 1.03877i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-1.39507 - 0.637105i) q^{9} +(-1.73080 - 1.41574i) q^{10} +(1.51315 - 1.31115i) q^{11} +(0.151898 - 2.12381i) q^{12} +(0.355339 - 0.194030i) q^{13} +(-0.491662 + 1.07659i) q^{14} +(-3.93061 + 2.68675i) q^{15} +(0.959493 - 0.281733i) q^{16} +(0.119153 + 0.159170i) q^{17} +(-1.43696 - 0.535959i) q^{18} +(0.301905 + 2.09979i) q^{19} +(-1.82739 - 1.28866i) q^{20} +(1.90453 + 1.65028i) q^{21} +(1.41576 - 1.41576i) q^{22} +(-4.01244 + 2.62684i) q^{23} -2.12924i q^{24} +(0.283834 + 4.99194i) q^{25} +(0.340591 - 0.218885i) q^{26} +(1.87106 - 2.49944i) q^{27} +(-0.413607 + 1.10892i) q^{28} +(6.77284 + 0.973787i) q^{29} +(-3.72892 + 2.96031i) q^{30} +(4.28224 + 2.75203i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-2.04310 - 3.74166i) q^{33} +(0.130205 + 0.150264i) q^{34} +(2.51709 - 0.817404i) q^{35} +(-1.47154 - 0.432082i) q^{36} +(2.08129 + 5.58014i) q^{37} +(0.450933 + 2.07291i) q^{38} +(-0.242867 - 0.827129i) q^{39} +(-1.91467 - 1.15501i) q^{40} +(-0.0109360 - 0.0239466i) q^{41} +(2.01740 + 1.51021i) q^{42} +(-6.74241 - 1.46672i) q^{43} +(1.31115 - 1.51315i) q^{44} +(1.28919 + 3.17782i) q^{45} +(-3.81482 + 2.90639i) q^{46} +(-3.75022 - 3.75022i) q^{47} +(-0.151898 - 2.12381i) q^{48} +(3.02717 + 4.71036i) q^{49} +(0.639232 + 4.95897i) q^{50} +(0.385095 - 0.175867i) q^{51} +(0.324109 - 0.242625i) q^{52} +(0.474023 + 0.258836i) q^{53} +(1.68798 - 2.62655i) q^{54} +(-4.47288 - 0.192458i) q^{55} +(-0.333443 + 1.13560i) q^{56} +(4.50543 + 0.322235i) q^{57} +(6.82505 + 0.488137i) q^{58} +(3.65243 - 12.4390i) q^{59} +(-3.50823 + 3.21879i) q^{60} +(-7.12877 + 11.0926i) q^{61} +(4.46766 + 2.43953i) q^{62} +(1.45311 - 1.08778i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-0.875520 - 0.230285i) q^{65} +(-2.30482 - 3.58637i) q^{66} +(-0.104967 - 1.46764i) q^{67} +(0.140593 + 0.140593i) q^{68} +(3.64931 + 9.53712i) q^{69} +(2.45236 - 0.994888i) q^{70} +(-8.17937 + 9.43950i) q^{71} +(-1.49861 - 0.326003i) q^{72} +(-10.6056 - 7.93925i) q^{73} +(2.47407 + 5.41745i) q^{74} +(10.5146 + 1.66882i) q^{75} +(0.597663 + 2.03545i) q^{76} +(0.503710 + 2.31552i) q^{77} +(-0.301255 - 0.807695i) q^{78} +(-13.4642 - 3.95345i) q^{79} +(-1.99219 - 1.01547i) q^{80} +(-7.36644 - 8.50133i) q^{81} +(-0.0126165 - 0.0231054i) q^{82} +(-2.62520 + 0.979148i) q^{83} +(2.12000 + 1.36244i) q^{84} +(0.0507510 - 0.441686i) q^{85} +(-6.82987 - 0.981986i) q^{86} +(5.09145 - 13.6507i) q^{87} +(1.19986 - 1.60283i) q^{88} +(1.06577 - 0.684929i) q^{89} +(1.51261 + 3.07775i) q^{90} +0.479172i q^{91} +(-3.59776 + 3.17114i) q^{92} +(7.66397 - 7.66397i) q^{93} +(-4.00820 - 3.47312i) q^{94} +(2.73374 - 3.87660i) q^{95} +(-0.303022 - 2.10757i) q^{96} +(6.72549 + 2.50848i) q^{97} +(3.35549 + 4.48241i) q^{98} +(-2.94628 + 0.865107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) 0.452602 2.08058i 0.261310 1.20122i −0.640112 0.768282i \(-0.721112\pi\)
0.901422 0.432941i \(-0.142524\pi\)
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −1.62540 1.53561i −0.726900 0.686743i
\(6\) 0.303022 2.10757i 0.123708 0.860410i
\(7\) −0.567213 + 1.03877i −0.214386 + 0.392619i −0.962636 0.270798i \(-0.912713\pi\)
0.748250 + 0.663417i \(0.230894\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −1.39507 0.637105i −0.465022 0.212368i
\(10\) −1.73080 1.41574i −0.547329 0.447696i
\(11\) 1.51315 1.31115i 0.456231 0.395327i −0.396201 0.918164i \(-0.629672\pi\)
0.852433 + 0.522837i \(0.175126\pi\)
\(12\) 0.151898 2.12381i 0.0438492 0.613092i
\(13\) 0.355339 0.194030i 0.0985532 0.0538141i −0.429216 0.903202i \(-0.641210\pi\)
0.527770 + 0.849388i \(0.323028\pi\)
\(14\) −0.491662 + 1.07659i −0.131402 + 0.287731i
\(15\) −3.93061 + 2.68675i −1.01488 + 0.693716i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 0.119153 + 0.159170i 0.0288989 + 0.0386044i 0.814758 0.579801i \(-0.196870\pi\)
−0.785859 + 0.618406i \(0.787779\pi\)
\(18\) −1.43696 0.535959i −0.338695 0.126327i
\(19\) 0.301905 + 2.09979i 0.0692617 + 0.481726i 0.994699 + 0.102826i \(0.0327884\pi\)
−0.925438 + 0.378900i \(0.876303\pi\)
\(20\) −1.82739 1.28866i −0.408617 0.288152i
\(21\) 1.90453 + 1.65028i 0.415602 + 0.360121i
\(22\) 1.41576 1.41576i 0.301840 0.301840i
\(23\) −4.01244 + 2.62684i −0.836652 + 0.547735i
\(24\) 2.12924i 0.434629i
\(25\) 0.283834 + 4.99194i 0.0567668 + 0.998387i
\(26\) 0.340591 0.218885i 0.0667955 0.0429268i
\(27\) 1.87106 2.49944i 0.360085 0.481018i
\(28\) −0.413607 + 1.10892i −0.0781643 + 0.209567i
\(29\) 6.77284 + 0.973787i 1.25768 + 0.180828i 0.738746 0.673984i \(-0.235418\pi\)
0.518939 + 0.854811i \(0.326327\pi\)
\(30\) −3.72892 + 2.96031i −0.680805 + 0.540476i
\(31\) 4.28224 + 2.75203i 0.769114 + 0.494279i 0.865404 0.501074i \(-0.167062\pi\)
−0.0962909 + 0.995353i \(0.530698\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −2.04310 3.74166i −0.355658 0.651339i
\(34\) 0.130205 + 0.150264i 0.0223299 + 0.0257701i
\(35\) 2.51709 0.817404i 0.425466 0.138166i
\(36\) −1.47154 0.432082i −0.245256 0.0720136i
\(37\) 2.08129 + 5.58014i 0.342161 + 0.917370i 0.988077 + 0.153961i \(0.0492031\pi\)
−0.645916 + 0.763409i \(0.723524\pi\)
\(38\) 0.450933 + 2.07291i 0.0731510 + 0.336270i
\(39\) −0.242867 0.827129i −0.0388898 0.132447i
\(40\) −1.91467 1.15501i −0.302736 0.182623i
\(41\) −0.0109360 0.0239466i −0.00170792 0.00373983i 0.908776 0.417284i \(-0.137018\pi\)
−0.910484 + 0.413544i \(0.864291\pi\)
\(42\) 2.01740 + 1.51021i 0.311292 + 0.233030i
\(43\) −6.74241 1.46672i −1.02821 0.223673i −0.333337 0.942808i \(-0.608175\pi\)
−0.694871 + 0.719135i \(0.744538\pi\)
\(44\) 1.31115 1.51315i 0.197663 0.228116i
\(45\) 1.28919 + 3.17782i 0.192182 + 0.473721i
\(46\) −3.81482 + 2.90639i −0.562465 + 0.428524i
\(47\) −3.75022 3.75022i −0.547025 0.547025i 0.378554 0.925579i \(-0.376421\pi\)
−0.925579 + 0.378554i \(0.876421\pi\)
\(48\) −0.151898 2.12381i −0.0219246 0.306546i
\(49\) 3.02717 + 4.71036i 0.432453 + 0.672909i
\(50\) 0.639232 + 4.95897i 0.0904010 + 0.701304i
\(51\) 0.385095 0.175867i 0.0539240 0.0246263i
\(52\) 0.324109 0.242625i 0.0449458 0.0336460i
\(53\) 0.474023 + 0.258836i 0.0651121 + 0.0355539i 0.511475 0.859298i \(-0.329099\pi\)
−0.446363 + 0.894852i \(0.647281\pi\)
\(54\) 1.68798 2.62655i 0.229705 0.357429i
\(55\) −4.47288 0.192458i −0.603123 0.0259510i
\(56\) −0.333443 + 1.13560i −0.0445582 + 0.151751i
\(57\) 4.50543 + 0.322235i 0.596759 + 0.0426810i
\(58\) 6.82505 + 0.488137i 0.896173 + 0.0640956i
\(59\) 3.65243 12.4390i 0.475506 1.61943i −0.277020 0.960864i \(-0.589347\pi\)
0.752527 0.658562i \(-0.228835\pi\)
\(60\) −3.50823 + 3.21879i −0.452911 + 0.415544i
\(61\) −7.12877 + 11.0926i −0.912745 + 1.42026i −0.00534774 + 0.999986i \(0.501702\pi\)
−0.907397 + 0.420274i \(0.861934\pi\)
\(62\) 4.46766 + 2.43953i 0.567393 + 0.309820i
\(63\) 1.45311 1.08778i 0.183074 0.137048i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −0.875520 0.230285i −0.108595 0.0285633i
\(66\) −2.30482 3.58637i −0.283704 0.441451i
\(67\) −0.104967 1.46764i −0.0128238 0.179300i −0.999827 0.0185997i \(-0.994079\pi\)
0.987003 0.160701i \(-0.0513754\pi\)
\(68\) 0.140593 + 0.140593i 0.0170493 + 0.0170493i
\(69\) 3.64931 + 9.53712i 0.439326 + 1.14813i
\(70\) 2.45236 0.994888i 0.293114 0.118912i
\(71\) −8.17937 + 9.43950i −0.970713 + 1.12026i 0.0220000 + 0.999758i \(0.492997\pi\)
−0.992713 + 0.120504i \(0.961549\pi\)
\(72\) −1.49861 0.326003i −0.176613 0.0384198i
\(73\) −10.6056 7.93925i −1.24129 0.929219i −0.242133 0.970243i \(-0.577847\pi\)
−0.999158 + 0.0410243i \(0.986938\pi\)
\(74\) 2.47407 + 5.41745i 0.287604 + 0.629766i
\(75\) 10.5146 + 1.66882i 1.21412 + 0.192699i
\(76\) 0.597663 + 2.03545i 0.0685567 + 0.233483i
\(77\) 0.503710 + 2.31552i 0.0574031 + 0.263878i
\(78\) −0.301255 0.807695i −0.0341104 0.0914535i
\(79\) −13.4642 3.95345i −1.51484 0.444797i −0.584469 0.811416i \(-0.698697\pi\)
−0.930371 + 0.366618i \(0.880515\pi\)
\(80\) −1.99219 1.01547i −0.222733 0.113534i
\(81\) −7.36644 8.50133i −0.818493 0.944592i
\(82\) −0.0126165 0.0231054i −0.00139326 0.00255156i
\(83\) −2.62520 + 0.979148i −0.288153 + 0.107475i −0.489384 0.872068i \(-0.662778\pi\)
0.201231 + 0.979544i \(0.435506\pi\)
\(84\) 2.12000 + 1.36244i 0.231311 + 0.148655i
\(85\) 0.0507510 0.441686i 0.00550471 0.0479076i
\(86\) −6.82987 0.981986i −0.736483 0.105890i
\(87\) 5.09145 13.6507i 0.545860 1.46351i
\(88\) 1.19986 1.60283i 0.127906 0.170862i
\(89\) 1.06577 0.684929i 0.112971 0.0726023i −0.482935 0.875656i \(-0.660429\pi\)
0.595906 + 0.803054i \(0.296793\pi\)
\(90\) 1.51261 + 3.07775i 0.159443 + 0.324424i
\(91\) 0.479172i 0.0502309i
\(92\) −3.59776 + 3.17114i −0.375093 + 0.330614i
\(93\) 7.66397 7.66397i 0.794717 0.794717i
\(94\) −4.00820 3.47312i −0.413414 0.358225i
\(95\) 2.73374 3.87660i 0.280476 0.397731i
\(96\) −0.303022 2.10757i −0.0309271 0.215103i
\(97\) 6.72549 + 2.50848i 0.682870 + 0.254697i 0.666870 0.745175i \(-0.267634\pi\)
0.0160008 + 0.999872i \(0.494907\pi\)
\(98\) 3.35549 + 4.48241i 0.338956 + 0.452792i
\(99\) −2.94628 + 0.865107i −0.296113 + 0.0869465i
\(100\) 0.991372 + 4.90073i 0.0991372 + 0.490073i
\(101\) 1.33545 2.92424i 0.132883 0.290972i −0.831481 0.555553i \(-0.812506\pi\)
0.964363 + 0.264581i \(0.0852337\pi\)
\(102\) 0.371567 0.202891i 0.0367906 0.0200892i
\(103\) 1.22935 17.1886i 0.121132 1.69364i −0.466508 0.884517i \(-0.654488\pi\)
0.587639 0.809123i \(-0.300057\pi\)
\(104\) 0.305974 0.265128i 0.0300032 0.0259979i
\(105\) −0.561432 5.60697i −0.0547901 0.547184i
\(106\) 0.491280 + 0.224360i 0.0477174 + 0.0217918i
\(107\) −4.51644 + 0.982491i −0.436620 + 0.0949809i −0.425502 0.904957i \(-0.639903\pi\)
−0.0111179 + 0.999938i \(0.503539\pi\)
\(108\) 1.49631 2.74028i 0.143982 0.263684i
\(109\) −2.12492 + 14.7792i −0.203531 + 1.41559i 0.590170 + 0.807279i \(0.299061\pi\)
−0.793701 + 0.608309i \(0.791848\pi\)
\(110\) −4.47521 + 0.127124i −0.426695 + 0.0121208i
\(111\) 12.5519 1.80469i 1.19138 0.171294i
\(112\) −0.251581 + 1.15650i −0.0237721 + 0.109279i
\(113\) −2.26301 + 0.161853i −0.212886 + 0.0152259i −0.177375 0.984143i \(-0.556760\pi\)
−0.0355111 + 0.999369i \(0.511306\pi\)
\(114\) 4.51694 0.423050
\(115\) 10.5556 + 1.89186i 0.984315 + 0.176417i
\(116\) 6.84249 0.635309
\(117\) −0.619338 + 0.0442959i −0.0572578 + 0.00409516i
\(118\) 2.75574 12.6679i 0.253686 1.16618i
\(119\) −0.232926 + 0.0334898i −0.0213523 + 0.00307000i
\(120\) −3.26967 + 3.46086i −0.298479 + 0.315932i
\(121\) −0.994961 + 6.92011i −0.0904510 + 0.629100i
\(122\) −6.31927 + 11.5729i −0.572120 + 1.04776i
\(123\) −0.0547724 + 0.0119150i −0.00493866 + 0.00107434i
\(124\) 4.63031 + 2.11459i 0.415814 + 0.189896i
\(125\) 7.20430 8.54974i 0.644372 0.764712i
\(126\) 1.37180 1.18867i 0.122210 0.105895i
\(127\) 0.0162103 0.226649i 0.00143843 0.0201119i −0.996682 0.0813915i \(-0.974064\pi\)
0.998121 + 0.0612796i \(0.0195181\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) −6.10326 + 13.3643i −0.537362 + 1.17666i
\(130\) −0.889717 0.167239i −0.0780334 0.0146678i
\(131\) 11.5790 3.39990i 1.01166 0.297051i 0.266428 0.963855i \(-0.414156\pi\)
0.745233 + 0.666804i \(0.232338\pi\)
\(132\) −2.55480 3.41281i −0.222366 0.297047i
\(133\) −2.35245 0.877419i −0.203983 0.0760819i
\(134\) −0.209400 1.45641i −0.0180894 0.125815i
\(135\) −6.87937 + 1.18938i −0.592082 + 0.102365i
\(136\) 0.150264 + 0.130205i 0.0128850 + 0.0111649i
\(137\) 13.0950 13.0950i 1.11879 1.11879i 0.126865 0.991920i \(-0.459508\pi\)
0.991920 0.126865i \(-0.0404916\pi\)
\(138\) 4.32039 + 9.25248i 0.367776 + 0.787624i
\(139\) 18.3770i 1.55872i −0.626578 0.779359i \(-0.715545\pi\)
0.626578 0.779359i \(-0.284455\pi\)
\(140\) 2.37514 1.16730i 0.200736 0.0986551i
\(141\) −9.49998 + 6.10527i −0.800043 + 0.514156i
\(142\) −7.48513 + 9.99896i −0.628138 + 0.839094i
\(143\) 0.283278 0.759498i 0.0236889 0.0635124i
\(144\) −1.51805 0.218263i −0.126504 0.0181885i
\(145\) −9.51321 11.9832i −0.790029 0.995151i
\(146\) −11.1450 7.16243i −0.922363 0.592767i
\(147\) 11.1704 4.16634i 0.921318 0.343634i
\(148\) 2.85424 + 5.22715i 0.234617 + 0.429669i
\(149\) −1.48811 1.71737i −0.121911 0.140692i 0.691513 0.722364i \(-0.256944\pi\)
−0.813424 + 0.581672i \(0.802399\pi\)
\(150\) 10.6068 + 0.914469i 0.866046 + 0.0746661i
\(151\) 6.77317 + 1.98878i 0.551193 + 0.161845i 0.545457 0.838139i \(-0.316356\pi\)
0.00573571 + 0.999984i \(0.498174\pi\)
\(152\) 0.741348 + 1.98763i 0.0601313 + 0.161218i
\(153\) −0.0648184 0.297966i −0.00524026 0.0240891i
\(154\) 0.667614 + 2.27368i 0.0537979 + 0.183219i
\(155\) −2.73432 11.0490i −0.219625 0.887475i
\(156\) −0.358108 0.784146i −0.0286715 0.0627819i
\(157\) −8.88237 6.64926i −0.708891 0.530669i 0.182892 0.983133i \(-0.441454\pi\)
−0.891783 + 0.452464i \(0.850545\pi\)
\(158\) −13.7119 2.98285i −1.09086 0.237303i
\(159\) 0.753073 0.869093i 0.0597226 0.0689235i
\(160\) −2.05955 0.870767i −0.162822 0.0688401i
\(161\) −0.452784 5.65799i −0.0356844 0.445912i
\(162\) −7.95415 7.95415i −0.624937 0.624937i
\(163\) 0.933684 + 13.0546i 0.0731318 + 1.02252i 0.893027 + 0.450003i \(0.148577\pi\)
−0.819896 + 0.572513i \(0.805969\pi\)
\(164\) −0.0142327 0.0221465i −0.00111138 0.00172935i
\(165\) −2.42486 + 9.21907i −0.188775 + 0.717704i
\(166\) −2.54866 + 1.16393i −0.197814 + 0.0903387i
\(167\) −12.2192 + 9.14716i −0.945549 + 0.707829i −0.956384 0.292112i \(-0.905642\pi\)
0.0108353 + 0.999941i \(0.496551\pi\)
\(168\) 2.21180 + 1.20773i 0.170644 + 0.0931785i
\(169\) −6.93971 + 10.7984i −0.533824 + 0.830646i
\(170\) 0.0191121 0.444182i 0.00146583 0.0340672i
\(171\) 0.916612 3.12169i 0.0700951 0.238722i
\(172\) −6.88252 0.492247i −0.524787 0.0375335i
\(173\) −9.20605 0.658430i −0.699923 0.0500595i −0.283157 0.959073i \(-0.591382\pi\)
−0.416766 + 0.909014i \(0.636836\pi\)
\(174\) 4.10464 13.9791i 0.311172 1.05976i
\(175\) −5.34648 2.53665i −0.404156 0.191753i
\(176\) 1.08246 1.68434i 0.0815936 0.126962i
\(177\) −24.2273 13.2291i −1.82104 0.994362i
\(178\) 1.01419 0.759215i 0.0760169 0.0569055i
\(179\) 17.3758 7.93526i 1.29873 0.593109i 0.358461 0.933545i \(-0.383302\pi\)
0.940268 + 0.340435i \(0.110574\pi\)
\(180\) 1.72832 + 2.96200i 0.128822 + 0.220775i
\(181\) 11.2136 + 17.4486i 0.833497 + 1.29695i 0.952649 + 0.304071i \(0.0983461\pi\)
−0.119152 + 0.992876i \(0.538018\pi\)
\(182\) 0.0341837 + 0.477951i 0.00253387 + 0.0354281i
\(183\) 19.8525 + 19.8525i 1.46754 + 1.46754i
\(184\) −3.36237 + 3.41972i −0.247877 + 0.252105i
\(185\) 5.18598 12.2660i 0.381281 0.901813i
\(186\) 7.09770 8.19119i 0.520429 0.600607i
\(187\) 0.388992 + 0.0846200i 0.0284459 + 0.00618803i
\(188\) −4.24576 3.17833i −0.309654 0.231804i
\(189\) 1.53506 + 3.36132i 0.111659 + 0.244500i
\(190\) 2.45022 4.06175i 0.177758 0.294670i
\(191\) −1.86710 6.35876i −0.135099 0.460104i 0.863956 0.503567i \(-0.167979\pi\)
−0.999055 + 0.0434627i \(0.986161\pi\)
\(192\) −0.452602 2.08058i −0.0326638 0.150153i
\(193\) 6.56001 + 17.5881i 0.472200 + 1.26602i 0.926878 + 0.375362i \(0.122481\pi\)
−0.454678 + 0.890656i \(0.650246\pi\)
\(194\) 6.88731 + 2.02230i 0.494480 + 0.145192i
\(195\) −0.875388 + 1.71736i −0.0626878 + 0.122983i
\(196\) 3.66671 + 4.23161i 0.261908 + 0.302258i
\(197\) 3.61738 + 6.62474i 0.257728 + 0.471993i 0.974219 0.225603i \(-0.0724351\pi\)
−0.716492 + 0.697596i \(0.754253\pi\)
\(198\) −2.87706 + 1.07309i −0.204464 + 0.0762610i
\(199\) −12.1004 7.77646i −0.857775 0.551259i 0.0362157 0.999344i \(-0.488470\pi\)
−0.893991 + 0.448085i \(0.852106\pi\)
\(200\) 1.33846 + 4.81752i 0.0946434 + 0.340650i
\(201\) −3.10104 0.445863i −0.218731 0.0314487i
\(202\) 1.12344 3.01206i 0.0790449 0.211927i
\(203\) −4.85318 + 6.48310i −0.340627 + 0.455024i
\(204\) 0.356146 0.228881i 0.0249352 0.0160249i
\(205\) −0.0189971 + 0.0557161i −0.00132681 + 0.00389138i
\(206\) 17.2325i 1.20064i
\(207\) 7.27120 1.10827i 0.505383 0.0770301i
\(208\) 0.286281 0.286281i 0.0198500 0.0198500i
\(209\) 3.20997 + 2.78146i 0.222038 + 0.192397i
\(210\) −0.959998 5.55263i −0.0662461 0.383168i
\(211\) 0.292672 + 2.03558i 0.0201484 + 0.140135i 0.997413 0.0718903i \(-0.0229031\pi\)
−0.977264 + 0.212025i \(0.931994\pi\)
\(212\) 0.506034 + 0.188741i 0.0347546 + 0.0129628i
\(213\) 15.9376 + 21.2902i 1.09203 + 1.45878i
\(214\) −4.43484 + 1.30219i −0.303159 + 0.0890156i
\(215\) 8.70679 + 12.7377i 0.593798 + 0.868703i
\(216\) 1.29700 2.84004i 0.0882500 0.193240i
\(217\) −5.28768 + 2.88729i −0.358951 + 0.196002i
\(218\) −1.06518 + 14.8931i −0.0721428 + 1.00869i
\(219\) −21.3184 + 18.4725i −1.44056 + 1.24825i
\(220\) −4.45474 + 0.446058i −0.300338 + 0.0300732i
\(221\) 0.0732234 + 0.0334400i 0.00492554 + 0.00224942i
\(222\) 12.3912 2.69554i 0.831643 0.180913i
\(223\) −8.66196 + 15.8632i −0.580048 + 1.06228i 0.408697 + 0.912670i \(0.365983\pi\)
−0.988745 + 0.149608i \(0.952199\pi\)
\(224\) −0.168436 + 1.17150i −0.0112541 + 0.0782740i
\(225\) 2.78442 7.14491i 0.185628 0.476328i
\(226\) −2.24569 + 0.322882i −0.149381 + 0.0214778i
\(227\) −3.53850 + 16.2662i −0.234859 + 1.07963i 0.697075 + 0.716998i \(0.254485\pi\)
−0.931933 + 0.362629i \(0.881879\pi\)
\(228\) 4.50543 0.322235i 0.298379 0.0213405i
\(229\) 16.6625 1.10109 0.550544 0.834806i \(-0.314420\pi\)
0.550544 + 0.834806i \(0.314420\pi\)
\(230\) 10.6637 + 1.13401i 0.703142 + 0.0747747i
\(231\) 5.04560 0.331976
\(232\) 6.82505 0.488137i 0.448087 0.0320478i
\(233\) 3.93472 18.0876i 0.257772 1.18496i −0.648149 0.761514i \(-0.724457\pi\)
0.905921 0.423446i \(-0.139180\pi\)
\(234\) −0.614600 + 0.0883662i −0.0401777 + 0.00577668i
\(235\) 0.336741 + 11.8544i 0.0219666 + 0.773299i
\(236\) 1.84500 12.8322i 0.120099 0.835307i
\(237\) −14.3194 + 26.2240i −0.930144 + 1.70343i
\(238\) −0.229944 + 0.0500212i −0.0149050 + 0.00324239i
\(239\) −9.39164 4.28902i −0.607495 0.277434i 0.0878228 0.996136i \(-0.472009\pi\)
−0.695318 + 0.718702i \(0.744736\pi\)
\(240\) −3.01444 + 3.68530i −0.194582 + 0.237885i
\(241\) 2.00570 1.73795i 0.129198 0.111951i −0.587865 0.808959i \(-0.700031\pi\)
0.717063 + 0.697008i \(0.245486\pi\)
\(242\) −0.498751 + 6.97345i −0.0320609 + 0.448271i
\(243\) −12.8009 + 6.98983i −0.821179 + 0.448398i
\(244\) −5.47757 + 11.9942i −0.350665 + 0.767850i
\(245\) 2.31291 12.3047i 0.147766 0.786122i
\(246\) −0.0537829 + 0.0157921i −0.00342907 + 0.00100687i
\(247\) 0.514700 + 0.687559i 0.0327496 + 0.0437483i
\(248\) 4.76937 + 1.77888i 0.302855 + 0.112959i
\(249\) 0.849025 + 5.90510i 0.0538048 + 0.374220i
\(250\) 6.57601 9.04190i 0.415904 0.571860i
\(251\) −2.40219 2.08151i −0.151625 0.131384i 0.575745 0.817629i \(-0.304712\pi\)
−0.727370 + 0.686246i \(0.759257\pi\)
\(252\) 1.28351 1.28351i 0.0808534 0.0808534i
\(253\) −2.62723 + 9.23572i −0.165173 + 0.580645i
\(254\) 0.227228i 0.0142576i
\(255\) −0.895994 0.305500i −0.0561093 0.0191311i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 1.51231 2.02021i 0.0943355 0.126018i −0.750890 0.660427i \(-0.770375\pi\)
0.845226 + 0.534410i \(0.179466\pi\)
\(258\) −5.13431 + 13.7656i −0.319648 + 0.857011i
\(259\) −6.97703 1.00315i −0.433532 0.0623324i
\(260\) −0.899381 0.103341i −0.0557772 0.00640895i
\(261\) −8.82815 5.67351i −0.546449 0.351181i
\(262\) 11.3069 4.21727i 0.698545 0.260544i
\(263\) 11.8515 + 21.7044i 0.730794 + 1.33835i 0.933310 + 0.359071i \(0.116906\pi\)
−0.202516 + 0.979279i \(0.564912\pi\)
\(264\) −2.79175 3.22185i −0.171821 0.198291i
\(265\) −0.373006 1.14862i −0.0229136 0.0705594i
\(266\) −2.40905 0.707361i −0.147708 0.0433711i
\(267\) −0.942679 2.52742i −0.0576910 0.154676i
\(268\) −0.312765 1.43776i −0.0191052 0.0878251i
\(269\) −3.19355 10.8762i −0.194714 0.663136i −0.997740 0.0671917i \(-0.978596\pi\)
0.803026 0.595944i \(-0.203222\pi\)
\(270\) −6.77699 + 1.67712i −0.412435 + 0.102066i
\(271\) 5.66163 + 12.3972i 0.343920 + 0.753079i 0.999999 0.00161319i \(-0.000513495\pi\)
−0.656079 + 0.754692i \(0.727786\pi\)
\(272\) 0.159170 + 0.119153i 0.00965109 + 0.00722472i
\(273\) 0.996956 + 0.216874i 0.0603385 + 0.0131258i
\(274\) 12.1275 13.9959i 0.732649 0.845521i
\(275\) 6.97466 + 7.18139i 0.420588 + 0.433054i
\(276\) 4.96944 + 8.92070i 0.299125 + 0.536963i
\(277\) −8.18053 8.18053i −0.491521 0.491521i 0.417264 0.908785i \(-0.362989\pi\)
−0.908785 + 0.417264i \(0.862989\pi\)
\(278\) −1.31100 18.3302i −0.0786286 1.09937i
\(279\) −4.22068 6.56750i −0.252685 0.393186i
\(280\) 2.28582 1.33377i 0.136604 0.0797080i
\(281\) −7.80132 + 3.56274i −0.465388 + 0.212536i −0.634287 0.773098i \(-0.718706\pi\)
0.168899 + 0.985633i \(0.445979\pi\)
\(282\) −9.04023 + 6.76743i −0.538338 + 0.402995i
\(283\) −13.3904 7.31169i −0.795974 0.434635i 0.0291578 0.999575i \(-0.490717\pi\)
−0.825132 + 0.564940i \(0.808899\pi\)
\(284\) −6.75274 + 10.5075i −0.400701 + 0.623503i
\(285\) −6.82829 7.44232i −0.404473 0.440845i
\(286\) 0.228374 0.777772i 0.0135041 0.0459906i
\(287\) 0.0310781 + 0.00222275i 0.00183448 + 0.000131205i
\(288\) −1.52975 0.109410i −0.0901415 0.00644705i
\(289\) 4.77832 16.2734i 0.281077 0.957262i
\(290\) −10.3438 11.2740i −0.607411 0.662032i
\(291\) 8.26306 12.8576i 0.484389 0.753725i
\(292\) −11.6275 6.34911i −0.680449 0.371553i
\(293\) 26.0416 19.4945i 1.52137 1.13888i 0.573946 0.818893i \(-0.305412\pi\)
0.947421 0.319989i \(-0.103679\pi\)
\(294\) 10.8447 4.95261i 0.632476 0.288842i
\(295\) −25.0381 + 14.6097i −1.45778 + 0.850610i
\(296\) 3.21987 + 5.01021i 0.187151 + 0.291213i
\(297\) −0.445955 6.23526i −0.0258769 0.361807i
\(298\) −1.60683 1.60683i −0.0930813 0.0930813i
\(299\) −0.916091 + 1.71195i −0.0529789 + 0.0990047i
\(300\) 10.6451 + 0.155455i 0.614593 + 0.00897522i
\(301\) 5.34797 6.17189i 0.308252 0.355742i
\(302\) 6.89779 + 1.50052i 0.396923 + 0.0863454i
\(303\) −5.47968 4.10203i −0.314799 0.235656i
\(304\) 0.881255 + 1.92968i 0.0505435 + 0.110675i
\(305\) 28.6209 7.08288i 1.63883 0.405564i
\(306\) −0.0859099 0.292582i −0.00491114 0.0167258i
\(307\) 0.851870 + 3.91598i 0.0486188 + 0.223497i 0.995045 0.0994222i \(-0.0316994\pi\)
−0.946427 + 0.322919i \(0.895336\pi\)
\(308\) 0.828116 + 2.22026i 0.0471863 + 0.126511i
\(309\) −35.2058 10.3374i −2.00279 0.588071i
\(310\) −3.51557 10.8258i −0.199671 0.614862i
\(311\) −19.2384 22.2023i −1.09091 1.25898i −0.963667 0.267107i \(-0.913932\pi\)
−0.127245 0.991871i \(-0.540613\pi\)
\(312\) −0.413135 0.756601i −0.0233892 0.0428341i
\(313\) 25.6388 9.56277i 1.44919 0.540520i 0.503044 0.864261i \(-0.332213\pi\)
0.946146 + 0.323741i \(0.104941\pi\)
\(314\) −9.33410 5.99866i −0.526754 0.338524i
\(315\) −4.03228 0.463320i −0.227193 0.0261051i
\(316\) −13.8898 1.99705i −0.781362 0.112343i
\(317\) −8.54906 + 22.9209i −0.480163 + 1.28737i 0.440760 + 0.897625i \(0.354709\pi\)
−0.920924 + 0.389743i \(0.872564\pi\)
\(318\) 0.689154 0.920602i 0.0386458 0.0516248i
\(319\) 11.5251 7.40673i 0.645281 0.414697i
\(320\) −2.11643 0.721621i −0.118312 0.0403398i
\(321\) 9.84148i 0.549298i
\(322\) −0.855267 5.61128i −0.0476622 0.312704i
\(323\) −0.298251 + 0.298251i −0.0165951 + 0.0165951i
\(324\) −8.50133 7.36644i −0.472296 0.409247i
\(325\) 1.06944 + 1.71876i 0.0593219 + 0.0953394i
\(326\) 1.86261 + 12.9547i 0.103160 + 0.717497i
\(327\) 29.7875 + 11.1102i 1.64725 + 0.614393i
\(328\) −0.0157763 0.0210747i −0.000871102 0.00116366i
\(329\) 6.02279 1.76845i 0.332047 0.0974979i
\(330\) −1.76100 + 9.36857i −0.0969398 + 0.515723i
\(331\) 2.75213 6.02632i 0.151271 0.331237i −0.818792 0.574090i \(-0.805356\pi\)
0.970063 + 0.242853i \(0.0780833\pi\)
\(332\) −2.45913 + 1.34279i −0.134962 + 0.0736950i
\(333\) 0.651608 9.11067i 0.0357079 0.499261i
\(334\) −11.5355 + 9.99557i −0.631194 + 0.546933i
\(335\) −2.08310 + 2.54668i −0.113812 + 0.139140i
\(336\) 2.29232 + 1.04687i 0.125056 + 0.0571113i
\(337\) 23.8786 5.19448i 1.30075 0.282961i 0.491734 0.870745i \(-0.336363\pi\)
0.809018 + 0.587784i \(0.200000\pi\)
\(338\) −6.15168 + 11.2660i −0.334607 + 0.612788i
\(339\) −0.687493 + 4.78162i −0.0373395 + 0.259702i
\(340\) −0.0126241 0.444413i −0.000684640 0.0241017i
\(341\) 10.0880 1.45043i 0.546296 0.0785454i
\(342\) 0.691578 3.17913i 0.0373962 0.171908i
\(343\) −14.8738 + 1.06379i −0.803107 + 0.0574394i
\(344\) −6.90010 −0.372028
\(345\) 8.71366 21.1055i 0.469128 1.13628i
\(346\) −9.22956 −0.496184
\(347\) −20.0043 + 1.43074i −1.07389 + 0.0768060i −0.597064 0.802193i \(-0.703666\pi\)
−0.476823 + 0.878999i \(0.658212\pi\)
\(348\) 3.09693 14.2363i 0.166013 0.763148i
\(349\) 5.05279 0.726482i 0.270470 0.0388877i −0.00574545 0.999983i \(-0.501829\pi\)
0.276215 + 0.961096i \(0.410920\pi\)
\(350\) −5.51382 2.14877i −0.294726 0.114857i
\(351\) 0.179894 1.25119i 0.00960202 0.0667835i
\(352\) 0.959544 1.75727i 0.0511439 0.0936630i
\(353\) −35.9178 + 7.81344i −1.91171 + 0.415867i −0.911724 + 0.410803i \(0.865248\pi\)
−0.999987 + 0.00506422i \(0.998388\pi\)
\(354\) −25.1093 11.4671i −1.33455 0.609467i
\(355\) 27.7901 2.78265i 1.47494 0.147688i
\(356\) 0.957446 0.829632i 0.0507445 0.0439704i
\(357\) −0.0357449 + 0.499780i −0.00189182 + 0.0264511i
\(358\) 16.7654 9.15462i 0.886081 0.483837i
\(359\) 5.91797 12.9585i 0.312338 0.683925i −0.686738 0.726905i \(-0.740958\pi\)
0.999076 + 0.0429799i \(0.0136851\pi\)
\(360\) 1.93523 + 2.83116i 0.101995 + 0.149215i
\(361\) 13.9124 4.08504i 0.732231 0.215002i
\(362\) 12.4298 + 16.6042i 0.653294 + 0.872698i
\(363\) 13.9475 + 5.20215i 0.732054 + 0.273042i
\(364\) 0.0681933 + 0.474295i 0.00357430 + 0.0248598i
\(365\) 5.04676 + 29.1904i 0.264159 + 1.52790i
\(366\) 21.2182 + 18.3857i 1.10909 + 0.961033i
\(367\) 9.35829 9.35829i 0.488499 0.488499i −0.419333 0.907832i \(-0.637736\pi\)
0.907832 + 0.419333i \(0.137736\pi\)
\(368\) −3.10984 + 3.65087i −0.162112 + 0.190315i
\(369\) 0.0403744i 0.00210181i
\(370\) 4.29772 12.6047i 0.223428 0.655287i
\(371\) −0.537744 + 0.345587i −0.0279183 + 0.0179420i
\(372\) 6.49527 8.67666i 0.336764 0.449864i
\(373\) 10.3250 27.6824i 0.534609 1.43334i −0.336233 0.941779i \(-0.609153\pi\)
0.870842 0.491563i \(-0.163574\pi\)
\(374\) 0.394038 + 0.0566541i 0.0203752 + 0.00292951i
\(375\) −14.5277 18.8588i −0.750209 0.973862i
\(376\) −4.46168 2.86735i −0.230094 0.147872i
\(377\) 2.59560 0.968107i 0.133680 0.0498601i
\(378\) 1.77095 + 3.24324i 0.0910876 + 0.166814i
\(379\) −16.5274 19.0736i −0.848955 0.979747i 0.151006 0.988533i \(-0.451749\pi\)
−0.999961 + 0.00878623i \(0.997203\pi\)
\(380\) 2.15421 4.22620i 0.110509 0.216799i
\(381\) −0.464225 0.136309i −0.0237830 0.00698330i
\(382\) −2.31597 6.20937i −0.118496 0.317699i
\(383\) −2.33461 10.7320i −0.119293 0.548380i −0.997535 0.0701648i \(-0.977647\pi\)
0.878243 0.478215i \(-0.158716\pi\)
\(384\) −0.599876 2.04299i −0.0306123 0.104256i
\(385\) 2.73699 4.53714i 0.139490 0.231234i
\(386\) 7.79802 + 17.0753i 0.396909 + 0.869109i
\(387\) 8.47165 + 6.34180i 0.430638 + 0.322372i
\(388\) 7.01403 + 1.52581i 0.356083 + 0.0774612i
\(389\) 17.5352 20.2367i 0.889070 1.02604i −0.110412 0.993886i \(-0.535217\pi\)
0.999483 0.0321561i \(-0.0102374\pi\)
\(390\) −0.750642 + 1.77543i −0.0380102 + 0.0899026i
\(391\) −0.896209 0.325664i −0.0453233 0.0164695i
\(392\) 3.95925 + 3.95925i 0.199972 + 0.199972i
\(393\) −1.83308 25.6298i −0.0924667 1.29285i
\(394\) 4.08077 + 6.34980i 0.205586 + 0.319898i
\(395\) 15.8137 + 27.1016i 0.795676 + 1.36363i
\(396\) −2.79318 + 1.27560i −0.140362 + 0.0641014i
\(397\) 2.68208 2.00778i 0.134610 0.100768i −0.529851 0.848091i \(-0.677752\pi\)
0.664461 + 0.747323i \(0.268661\pi\)
\(398\) −12.6243 6.89341i −0.632801 0.345536i
\(399\) −2.89026 + 4.49734i −0.144694 + 0.225149i
\(400\) 1.67873 + 4.70976i 0.0839364 + 0.235488i
\(401\) 0.864728 2.94499i 0.0431825 0.147066i −0.935080 0.354437i \(-0.884673\pi\)
0.978262 + 0.207371i \(0.0664907\pi\)
\(402\) −3.12495 0.223501i −0.155858 0.0111472i
\(403\) 2.05562 + 0.147021i 0.102398 + 0.00732364i
\(404\) 0.905699 3.08453i 0.0450602 0.153461i
\(405\) −1.08128 + 25.1300i −0.0537295 + 1.24872i
\(406\) −4.37832 + 6.81280i −0.217292 + 0.338114i
\(407\) 10.4657 + 5.71471i 0.518766 + 0.283267i
\(408\) 0.338911 0.253705i 0.0167786 0.0125603i
\(409\) 7.18206 3.27994i 0.355130 0.162183i −0.229858 0.973224i \(-0.573826\pi\)
0.584988 + 0.811042i \(0.301099\pi\)
\(410\) −0.0149739 + 0.0569294i −0.000739510 + 0.00281154i
\(411\) −21.3184 33.1721i −1.05156 1.63626i
\(412\) −1.22935 17.1886i −0.0605658 0.846820i
\(413\) 10.8496 + 10.8496i 0.533876 + 0.533876i
\(414\) 7.17361 1.62417i 0.352564 0.0798235i
\(415\) 5.77057 + 2.43976i 0.283266 + 0.119763i
\(416\) 0.265128 0.305974i 0.0129990 0.0150016i
\(417\) −38.2348 8.31748i −1.87237 0.407309i
\(418\) 3.40022 + 2.54537i 0.166310 + 0.124498i
\(419\) 4.12451 + 9.03141i 0.201495 + 0.441213i 0.983223 0.182406i \(-0.0583886\pi\)
−0.781728 + 0.623620i \(0.785661\pi\)
\(420\) −1.35367 5.46999i −0.0660524 0.266908i
\(421\) −3.83028 13.0447i −0.186676 0.635762i −0.998644 0.0520590i \(-0.983422\pi\)
0.811968 0.583703i \(-0.198397\pi\)
\(422\) 0.437143 + 2.00951i 0.0212798 + 0.0978216i
\(423\) 2.84252 + 7.62108i 0.138208 + 0.370550i
\(424\) 0.518210 + 0.152160i 0.0251665 + 0.00738955i
\(425\) −0.760746 + 0.639983i −0.0369016 + 0.0310437i
\(426\) 17.4158 + 20.0989i 0.843800 + 0.973797i
\(427\) −7.47914 13.6970i −0.361941 0.662845i
\(428\) −4.33064 + 1.61525i −0.209329 + 0.0780759i
\(429\) −1.45198 0.933133i −0.0701024 0.0450521i
\(430\) 9.59330 + 12.0841i 0.462630 + 0.582747i
\(431\) 4.03462 + 0.580091i 0.194341 + 0.0279420i 0.238798 0.971069i \(-0.423247\pi\)
−0.0444570 + 0.999011i \(0.514156\pi\)
\(432\) 1.09109 2.92533i 0.0524953 0.140745i
\(433\) −18.6079 + 24.8573i −0.894241 + 1.19457i 0.0859085 + 0.996303i \(0.472621\pi\)
−0.980149 + 0.198262i \(0.936470\pi\)
\(434\) −5.06823 + 3.25715i −0.243283 + 0.156348i
\(435\) −29.2377 + 14.3694i −1.40184 + 0.688958i
\(436\) 14.9311i 0.715072i
\(437\) −6.72720 7.63224i −0.321806 0.365100i
\(438\) −19.9462 + 19.9462i −0.953068 + 0.953068i
\(439\) 18.6602 + 16.1691i 0.890601 + 0.771710i 0.974411 0.224772i \(-0.0721636\pi\)
−0.0838105 + 0.996482i \(0.526709\pi\)
\(440\) −4.41157 + 0.762719i −0.210313 + 0.0363612i
\(441\) −1.22210 8.49989i −0.0581953 0.404757i
\(442\) 0.0754224 + 0.0281311i 0.00358748 + 0.00133806i
\(443\) 0.662361 + 0.884810i 0.0314697 + 0.0420386i 0.816000 0.578052i \(-0.196187\pi\)
−0.784530 + 0.620090i \(0.787096\pi\)
\(444\) 12.1673 3.57265i 0.577436 0.169551i
\(445\) −2.78408 0.523320i −0.131978 0.0248078i
\(446\) −7.50823 + 16.4407i −0.355525 + 0.778491i
\(447\) −4.24664 + 2.31884i −0.200859 + 0.109677i
\(448\) −0.0844331 + 1.18053i −0.00398909 + 0.0557748i
\(449\) −5.68681 + 4.92765i −0.268377 + 0.232550i −0.778644 0.627466i \(-0.784092\pi\)
0.510267 + 0.860016i \(0.329547\pi\)
\(450\) 2.26762 7.32535i 0.106896 0.345320i
\(451\) −0.0479454 0.0218959i −0.00225766 0.00103104i
\(452\) −2.21694 + 0.482265i −0.104276 + 0.0226839i
\(453\) 7.20337 13.1920i 0.338444 0.619814i
\(454\) −2.36907 + 16.4772i −0.111186 + 0.773314i
\(455\) 0.735819 0.778845i 0.0344957 0.0365128i
\(456\) 4.47096 0.642827i 0.209372 0.0301031i
\(457\) −2.28912 + 10.5229i −0.107080 + 0.492241i 0.892103 + 0.451832i \(0.149229\pi\)
−0.999183 + 0.0404082i \(0.987134\pi\)
\(458\) 16.6200 1.18869i 0.776604 0.0555438i
\(459\) 0.620778 0.0289754
\(460\) 10.7174 + 0.370387i 0.499702 + 0.0172694i
\(461\) −41.4447 −1.93027 −0.965135 0.261751i \(-0.915700\pi\)
−0.965135 + 0.261751i \(0.915700\pi\)
\(462\) 5.03274 0.359949i 0.234144 0.0167463i
\(463\) −0.393709 + 1.80985i −0.0182972 + 0.0841110i −0.985390 0.170313i \(-0.945522\pi\)
0.967093 + 0.254424i \(0.0818858\pi\)
\(464\) 6.77284 0.973787i 0.314421 0.0452069i
\(465\) −24.2258 + 0.688167i −1.12345 + 0.0319130i
\(466\) 2.63434 18.3222i 0.122033 0.848761i
\(467\) −15.7897 + 28.9167i −0.730662 + 1.33811i 0.202726 + 0.979236i \(0.435020\pi\)
−0.933387 + 0.358871i \(0.883162\pi\)
\(468\) −0.606730 + 0.131986i −0.0280461 + 0.00610106i
\(469\) 1.58408 + 0.723425i 0.0731460 + 0.0334046i
\(470\) 1.18157 + 11.8002i 0.0545017 + 0.544303i
\(471\) −17.8545 + 15.4710i −0.822692 + 0.712867i
\(472\) 0.924854 12.9312i 0.0425699 0.595205i
\(473\) −12.1254 + 6.62095i −0.557525 + 0.304431i
\(474\) −12.4121 + 27.1787i −0.570107 + 1.24836i
\(475\) −10.3963 + 2.10308i −0.477017 + 0.0964960i
\(476\) −0.225790 + 0.0662978i −0.0103490 + 0.00303875i
\(477\) −0.496388 0.663096i −0.0227280 0.0303611i
\(478\) −9.67369 3.60810i −0.442464 0.165031i
\(479\) 3.56848 + 24.8193i 0.163048 + 1.13402i 0.892847 + 0.450361i \(0.148705\pi\)
−0.729799 + 0.683662i \(0.760386\pi\)
\(480\) −2.74386 + 3.89096i −0.125239 + 0.177597i
\(481\) 1.82227 + 1.57901i 0.0830886 + 0.0719967i
\(482\) 1.87660 1.87660i 0.0854769 0.0854769i
\(483\) −11.9768 1.61877i −0.544965 0.0736565i
\(484\) 6.99127i 0.317785i
\(485\) −7.07957 14.4050i −0.321467 0.654096i
\(486\) −12.2697 + 7.88523i −0.556563 + 0.357681i
\(487\) 23.0359 30.7724i 1.04386 1.39443i 0.128538 0.991705i \(-0.458972\pi\)
0.915320 0.402726i \(-0.131937\pi\)
\(488\) −4.60796 + 12.3544i −0.208592 + 0.559258i
\(489\) 27.5837 + 3.96594i 1.24738 + 0.179346i
\(490\) 1.42921 12.4384i 0.0645649 0.561910i
\(491\) −2.61519 1.68068i −0.118022 0.0758480i 0.480298 0.877105i \(-0.340528\pi\)
−0.598320 + 0.801257i \(0.704165\pi\)
\(492\) −0.0525192 + 0.0195887i −0.00236775 + 0.000883125i
\(493\) 0.652007 + 1.19406i 0.0293649 + 0.0537779i
\(494\) 0.562439 + 0.649089i 0.0253053 + 0.0292039i
\(495\) 6.11734 + 3.11818i 0.274954 + 0.140152i
\(496\) 4.88412 + 1.43411i 0.219303 + 0.0643933i
\(497\) −5.16605 13.8507i −0.231729 0.621289i
\(498\) 1.26813 + 5.82948i 0.0568261 + 0.261225i
\(499\) 5.80099 + 19.7564i 0.259688 + 0.884416i 0.981360 + 0.192181i \(0.0615559\pi\)
−0.721672 + 0.692236i \(0.756626\pi\)
\(500\) 5.91422 9.48799i 0.264492 0.424316i
\(501\) 13.5010 + 29.5630i 0.603179 + 1.32078i
\(502\) −2.54456 1.90483i −0.113569 0.0850169i
\(503\) −10.7755 2.34407i −0.480456 0.104517i −0.0341865 0.999415i \(-0.510884\pi\)
−0.446269 + 0.894899i \(0.647248\pi\)
\(504\) 1.18867 1.37180i 0.0529477 0.0611050i
\(505\) −6.66111 + 2.70232i −0.296416 + 0.120251i
\(506\) −1.96167 + 9.39961i −0.0872070 + 0.417864i
\(507\) 19.3260 + 19.3260i 0.858298 + 0.858298i
\(508\) −0.0162103 0.226649i −0.000719214 0.0100559i
\(509\) 13.4035 + 20.8563i 0.594102 + 0.924440i 0.999945 + 0.0104974i \(0.00334147\pi\)
−0.405843 + 0.913943i \(0.633022\pi\)
\(510\) −0.915505 0.240802i −0.0405392 0.0106629i
\(511\) 14.2627 6.51356i 0.630945 0.288143i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) 5.81319 + 3.17424i 0.256659 + 0.140146i
\(514\) 1.36434 2.12295i 0.0601785 0.0936395i
\(515\) −28.3930 + 26.0505i −1.25115 + 1.14792i
\(516\) −4.13920 + 14.0968i −0.182218 + 0.620578i
\(517\) −10.5917 0.757536i −0.465824 0.0333164i
\(518\) −7.03082 0.502854i −0.308916 0.0220941i
\(519\) −5.53659 + 18.8559i −0.243029 + 0.827682i
\(520\) −0.904462 0.0389169i −0.0396633 0.00170662i
\(521\) 8.11785 12.6316i 0.355650 0.553401i −0.616621 0.787260i \(-0.711499\pi\)
0.972271 + 0.233859i \(0.0751353\pi\)
\(522\) −9.21040 5.02926i −0.403128 0.220125i
\(523\) 23.1036 17.2952i 1.01025 0.756264i 0.0402062 0.999191i \(-0.487199\pi\)
0.970045 + 0.242927i \(0.0781076\pi\)
\(524\) 10.9773 5.01316i 0.479545 0.219001i
\(525\) −7.69753 + 9.97569i −0.335948 + 0.435375i
\(526\) 13.3697 + 20.8036i 0.582945 + 0.907081i
\(527\) 0.0722021 + 1.00952i 0.00314517 + 0.0439753i
\(528\) −3.01448 3.01448i −0.131189 0.131189i
\(529\) 9.19939 21.0801i 0.399974 0.916527i
\(530\) −0.453997 1.11909i −0.0197204 0.0486101i
\(531\) −13.0204 + 15.0263i −0.565036 + 0.652086i
\(532\) −2.45338 0.533699i −0.106367 0.0231388i
\(533\) −0.00853234 0.00638723i −0.000369577 0.000276662i
\(534\) −1.12058 2.45373i −0.0484923 0.106183i
\(535\) 8.84972 + 5.33852i 0.382607 + 0.230805i
\(536\) −0.414537 1.41178i −0.0179053 0.0609798i
\(537\) −8.64562 39.7433i −0.373086 1.71505i
\(538\) −3.96132 10.6207i −0.170784 0.457891i
\(539\) 10.7566 + 3.15841i 0.463317 + 0.136042i
\(540\) −6.64008 + 2.15631i −0.285744 + 0.0927928i
\(541\) −18.6599 21.5347i −0.802252 0.925848i 0.196251 0.980554i \(-0.437123\pi\)
−0.998503 + 0.0547059i \(0.982578\pi\)
\(542\) 6.53162 + 11.9618i 0.280557 + 0.513802i
\(543\) 41.3786 15.4334i 1.77572 0.662311i
\(544\) 0.167265 + 0.107494i 0.00717141 + 0.00460879i
\(545\) 26.1488 20.7590i 1.12009 0.889217i
\(546\) 1.00989 + 0.145200i 0.0432192 + 0.00621398i
\(547\) −0.779899 + 2.09099i −0.0333461 + 0.0894043i −0.952556 0.304364i \(-0.901556\pi\)
0.919210 + 0.393768i \(0.128829\pi\)
\(548\) 11.0981 14.8254i 0.474089 0.633309i
\(549\) 17.0122 10.9331i 0.726065 0.466614i
\(550\) 7.46921 + 6.66553i 0.318488 + 0.284219i
\(551\) 14.5156i 0.618383i
\(552\) 5.59318 + 8.54345i 0.238061 + 0.363633i
\(553\) 11.7438 11.7438i 0.499397 0.499397i
\(554\) −8.74328 7.57610i −0.371467 0.321878i
\(555\) −23.1732 16.3415i −0.983646 0.693656i
\(556\) −2.61532 18.1900i −0.110914 0.771426i
\(557\) 0.0623770 + 0.0232654i 0.00264300 + 0.000985788i 0.350785 0.936456i \(-0.385915\pi\)
−0.348142 + 0.937442i \(0.613187\pi\)
\(558\) −4.67845 6.24967i −0.198054 0.264570i
\(559\) −2.68043 + 0.787044i −0.113370 + 0.0332884i
\(560\) 2.18484 1.49344i 0.0923264 0.0631093i
\(561\) 0.352117 0.771030i 0.0148664 0.0325529i
\(562\) −7.52728 + 4.11021i −0.317519 + 0.173379i
\(563\) 0.421265 5.89005i 0.0177542 0.248236i −0.980823 0.194903i \(-0.937561\pi\)
0.998577 0.0533333i \(-0.0169846\pi\)
\(564\) −8.53441 + 7.39511i −0.359364 + 0.311390i
\(565\) 3.92683 + 3.21201i 0.165203 + 0.135130i
\(566\) −13.8779 6.33780i −0.583330 0.266398i
\(567\) 13.0093 2.83000i 0.546339 0.118849i
\(568\) −5.98594 + 10.9624i −0.251164 + 0.459973i
\(569\) −5.73213 + 39.8678i −0.240303 + 1.67135i 0.410317 + 0.911943i \(0.365418\pi\)
−0.650620 + 0.759403i \(0.725491\pi\)
\(570\) −7.34182 6.93623i −0.307515 0.290527i
\(571\) 26.2360 3.77217i 1.09794 0.157860i 0.430550 0.902567i \(-0.358319\pi\)
0.667392 + 0.744706i \(0.267410\pi\)
\(572\) 0.172307 0.792082i 0.00720451 0.0331186i
\(573\) −14.0750 + 1.00666i −0.587990 + 0.0420539i
\(574\) 0.0311575 0.00130049
\(575\) −14.2519 19.2843i −0.594345 0.804210i
\(576\) −1.53366 −0.0639025
\(577\) 6.34303 0.453663i 0.264064 0.0188862i 0.0613205 0.998118i \(-0.480469\pi\)
0.202743 + 0.979232i \(0.435014\pi\)
\(578\) 3.60521 16.5729i 0.149957 0.689340i
\(579\) 39.5625 5.68822i 1.64416 0.236395i
\(580\) −11.1218 10.5074i −0.461806 0.436294i
\(581\) 0.471933 3.28237i 0.0195791 0.136176i
\(582\) 7.32476 13.4143i 0.303621 0.556041i
\(583\) 1.05664 0.229858i 0.0437616 0.00951975i
\(584\) −12.0508 5.50343i −0.498667 0.227734i
\(585\) 1.07469 + 0.879060i 0.0444330 + 0.0363447i
\(586\) 24.5845 21.3026i 1.01558 0.880004i
\(587\) −2.16085 + 30.2126i −0.0891879 + 1.24701i 0.733964 + 0.679188i \(0.237668\pi\)
−0.823152 + 0.567821i \(0.807787\pi\)
\(588\) 10.4638 5.71365i 0.431518 0.235627i
\(589\) −4.48587 + 9.82267i −0.184837 + 0.404736i
\(590\) −23.9321 + 16.3587i −0.985268 + 0.673476i
\(591\) 15.4205 4.52787i 0.634316 0.186252i
\(592\) 3.56909 + 4.76774i 0.146689 + 0.195953i
\(593\) −40.0569 14.9405i −1.64494 0.613531i −0.655078 0.755562i \(-0.727364\pi\)
−0.989862 + 0.142031i \(0.954637\pi\)
\(594\) −0.889637 6.18756i −0.0365023 0.253879i
\(595\) 0.430025 + 0.303249i 0.0176293 + 0.0124320i
\(596\) −1.71737 1.48811i −0.0703462 0.0609553i
\(597\) −21.6562 + 21.6562i −0.886330 + 0.886330i
\(598\) −0.791628 + 1.77294i −0.0323721 + 0.0725010i
\(599\) 5.04783i 0.206249i −0.994668 0.103124i \(-0.967116\pi\)
0.994668 0.103124i \(-0.0328840\pi\)
\(600\) 10.6290 0.604351i 0.433928 0.0246725i
\(601\) −23.9329 + 15.3807i −0.976242 + 0.627393i −0.928447 0.371465i \(-0.878856\pi\)
−0.0477949 + 0.998857i \(0.515219\pi\)
\(602\) 4.89405 6.53768i 0.199466 0.266456i
\(603\) −0.788602 + 2.11432i −0.0321144 + 0.0861019i
\(604\) 6.98726 + 1.00462i 0.284308 + 0.0408773i
\(605\) 12.2438 9.72006i 0.497779 0.395176i
\(606\) −5.75835 3.70067i −0.233917 0.150329i
\(607\) 25.8387 9.63734i 1.04876 0.391168i 0.234774 0.972050i \(-0.424565\pi\)
0.813987 + 0.580882i \(0.197292\pi\)
\(608\) 1.01667 + 1.86190i 0.0412315 + 0.0755098i
\(609\) 11.2920 + 13.0317i 0.457576 + 0.528071i
\(610\) 28.0427 9.10662i 1.13542 0.368716i
\(611\) −2.06025 0.604944i −0.0833488 0.0244734i
\(612\) −0.106564 0.285708i −0.00430758 0.0115491i
\(613\) 6.63436 + 30.4977i 0.267959 + 1.23179i 0.892590 + 0.450869i \(0.148886\pi\)
−0.624631 + 0.780920i \(0.714751\pi\)
\(614\) 1.12906 + 3.84523i 0.0455653 + 0.155181i
\(615\) 0.107324 + 0.0647422i 0.00432771 + 0.00261066i
\(616\) 0.984398 + 2.15553i 0.0396625 + 0.0868488i
\(617\) −3.04636 2.28048i −0.122642 0.0918086i 0.536196 0.844093i \(-0.319861\pi\)
−0.658838 + 0.752285i \(0.728952\pi\)
\(618\) −35.8535 7.79946i −1.44224 0.313740i
\(619\) 9.92087 11.4493i 0.398754 0.460186i −0.520494 0.853865i \(-0.674252\pi\)
0.919248 + 0.393679i \(0.128798\pi\)
\(620\) −4.27892 10.5474i −0.171845 0.423593i
\(621\) −0.941874 + 14.9438i −0.0377961 + 0.599676i
\(622\) −20.7733 20.7733i −0.832934 0.832934i
\(623\) 0.106967 + 1.49559i 0.00428554 + 0.0599197i
\(624\) −0.466058 0.725201i −0.0186573 0.0290313i
\(625\) −24.8389 + 2.83376i −0.993555 + 0.113351i
\(626\) 24.8913 11.3675i 0.994855 0.454335i
\(627\) 7.23988 5.41971i 0.289133 0.216442i
\(628\) −9.73825 5.31749i −0.388599 0.212191i
\(629\) −0.640199 + 0.996170i −0.0255264 + 0.0397199i
\(630\) −4.05506 0.174480i −0.161557 0.00695144i
\(631\) 7.90977 26.9382i 0.314883 1.07239i −0.638247 0.769831i \(-0.720340\pi\)
0.953130 0.302561i \(-0.0978416\pi\)
\(632\) −13.9969 1.00108i −0.556765 0.0398207i
\(633\) 4.36765 + 0.312380i 0.173598 + 0.0124160i
\(634\) −6.89212 + 23.4724i −0.273721 + 0.932209i
\(635\) −0.374392 + 0.343502i −0.0148573 + 0.0136315i
\(636\) 0.621723 0.967420i 0.0246529 0.0383607i
\(637\) 1.98962 + 1.08641i 0.0788316 + 0.0430453i
\(638\) 10.9673 8.21005i 0.434201 0.325039i
\(639\) 17.4247 7.95760i 0.689311 0.314798i
\(640\) −2.16251 0.568798i −0.0854809 0.0224837i
\(641\) −21.6529 33.6925i −0.855237 1.33077i −0.942368 0.334577i \(-0.891406\pi\)
0.0871317 0.996197i \(-0.472230\pi\)
\(642\) 0.702083 + 9.81641i 0.0277090 + 0.387423i
\(643\) −3.27418 3.27418i −0.129121 0.129121i 0.639593 0.768714i \(-0.279103\pi\)
−0.768714 + 0.639593i \(0.779103\pi\)
\(644\) −1.25339 5.53597i −0.0493905 0.218148i
\(645\) 30.4425 12.3501i 1.19867 0.486283i
\(646\) −0.276214 + 0.318768i −0.0108675 + 0.0125418i
\(647\) 32.6377 + 7.09989i 1.28312 + 0.279126i 0.801891 0.597470i \(-0.203827\pi\)
0.481228 + 0.876595i \(0.340191\pi\)
\(648\) −9.00518 6.74119i −0.353757 0.264819i
\(649\) −10.7828 23.6110i −0.423261 0.926813i
\(650\) 1.18933 + 1.63808i 0.0466494 + 0.0642509i
\(651\) 3.61402 + 12.3082i 0.141645 + 0.482397i
\(652\) 2.78204 + 12.7889i 0.108953 + 0.500850i
\(653\) 0.654698 + 1.75531i 0.0256203 + 0.0686907i 0.949130 0.314884i \(-0.101966\pi\)
−0.923510 + 0.383575i \(0.874693\pi\)
\(654\) 30.5042 + 8.95684i 1.19281 + 0.350240i
\(655\) −24.0414 12.2546i −0.939374 0.478826i
\(656\) −0.0172396 0.0198955i −0.000673092 0.000776790i
\(657\) 9.73737 + 17.8327i 0.379891 + 0.695718i
\(658\) 5.88129 2.19361i 0.229276 0.0855157i
\(659\) −32.8567 21.1157i −1.27992 0.822552i −0.289038 0.957317i \(-0.593336\pi\)
−0.990878 + 0.134765i \(0.956972\pi\)
\(660\) −1.08817 + 9.47033i −0.0423568 + 0.368632i
\(661\) −19.9226 2.86444i −0.774901 0.111414i −0.256491 0.966546i \(-0.582567\pi\)
−0.518409 + 0.855133i \(0.673476\pi\)
\(662\) 2.31520 6.20730i 0.0899830 0.241254i
\(663\) 0.102716 0.137212i 0.00398915 0.00532887i
\(664\) −2.35707 + 1.51480i −0.0914721 + 0.0587855i
\(665\) 2.47630 + 5.03859i 0.0960268 + 0.195388i
\(666\) 9.13394i 0.353933i
\(667\) −29.7336 + 13.8839i −1.15129 + 0.537588i
\(668\) −10.7930 + 10.7930i −0.417595 + 0.417595i
\(669\) 29.0842 + 25.2016i 1.12446 + 0.974351i
\(670\) −1.89611 + 2.68880i −0.0732531 + 0.103877i
\(671\) 3.75716 + 26.1316i 0.145043 + 1.00880i
\(672\) 2.36116 + 0.880667i 0.0910837 + 0.0339725i
\(673\) −7.34383 9.81021i −0.283084 0.378156i 0.636350 0.771400i \(-0.280443\pi\)
−0.919434 + 0.393245i \(0.871353\pi\)
\(674\) 23.4472 6.88472i 0.903153 0.265190i
\(675\) 13.0081 + 8.63078i 0.500683 + 0.332199i
\(676\) −5.33230 + 11.6761i −0.205089 + 0.449081i
\(677\) 3.75147 2.04846i 0.144181 0.0787287i −0.405539 0.914078i \(-0.632916\pi\)
0.549720 + 0.835349i \(0.314734\pi\)
\(678\) −0.344625 + 4.81848i −0.0132352 + 0.185053i
\(679\) −6.42052 + 5.56342i −0.246397 + 0.213504i
\(680\) −0.0442961 0.442380i −0.00169868 0.0169645i
\(681\) 32.2417 + 14.7243i 1.23550 + 0.564235i
\(682\) 9.95882 2.16641i 0.381343 0.0829561i
\(683\) 15.1646 27.7719i 0.580257 1.06266i −0.408447 0.912782i \(-0.633930\pi\)
0.988704 0.149880i \(-0.0478886\pi\)
\(684\) 0.463019 3.22037i 0.0177040 0.123134i
\(685\) −41.3935 + 1.17584i −1.58156 + 0.0449264i
\(686\) −14.7600 + 2.12216i −0.563538 + 0.0810245i
\(687\) 7.54149 34.6677i 0.287726 1.32265i
\(688\) −6.88252 + 0.492247i −0.262394 + 0.0187668i
\(689\) 0.218661 0.00833031
\(690\) 7.18581 21.6734i 0.273559 0.825091i
\(691\) −5.81294 −0.221135 −0.110567 0.993869i \(-0.535267\pi\)
−0.110567 + 0.993869i \(0.535267\pi\)
\(692\) −9.20605 + 0.658430i −0.349961 + 0.0250297i
\(693\) 0.772520 3.55122i 0.0293456 0.134900i
\(694\) −19.8513 + 2.85418i −0.753544 + 0.108343i
\(695\) −28.2198 + 29.8699i −1.07044 + 1.13303i
\(696\) 2.07343 14.4210i 0.0785930 0.546627i
\(697\) 0.00250851 0.00459400i 9.50166e−5 0.000174010i
\(698\) 4.98809 1.08509i 0.188802 0.0410714i
\(699\) −35.8519 16.3730i −1.35604 0.619284i
\(700\) −5.65307 1.74995i −0.213666 0.0661418i
\(701\) −4.28349 + 3.71166i −0.161785 + 0.140188i −0.731991 0.681314i \(-0.761409\pi\)
0.570206 + 0.821502i \(0.306863\pi\)
\(702\) 0.0901767 1.26083i 0.00340350 0.0475871i
\(703\) −11.0888 + 6.05494i −0.418222 + 0.228366i
\(704\) 0.831737 1.82125i 0.0313473 0.0686409i
\(705\) 24.8165 + 4.66473i 0.934644 + 0.175684i
\(706\) −35.2689 + 10.3559i −1.32736 + 0.389749i
\(707\) 2.28013 + 3.04590i 0.0857531 + 0.114553i
\(708\) −25.8634 9.64656i −0.972007 0.362540i
\(709\) −4.89751 34.0630i −0.183930 1.27926i −0.847358 0.531021i \(-0.821808\pi\)
0.663428 0.748240i \(-0.269101\pi\)
\(710\) 27.5208 4.75808i 1.03284 0.178568i
\(711\) 16.2647 + 14.0934i 0.609973 + 0.528545i
\(712\) 0.895822 0.895822i 0.0335723 0.0335723i
\(713\) −24.4114 + 0.206415i −0.914214 + 0.00773032i
\(714\) 0.501056i 0.0187516i
\(715\) −1.62673 + 0.799483i −0.0608362 + 0.0298990i
\(716\) 16.0696 10.3273i 0.600551 0.385950i
\(717\) −13.1743 + 17.5988i −0.492004 + 0.657241i
\(718\) 4.97844 13.3477i 0.185794 0.498132i
\(719\) −40.9834 5.89252i −1.52842 0.219754i −0.673765 0.738946i \(-0.735324\pi\)
−0.854658 + 0.519192i \(0.826233\pi\)
\(720\) 2.13227 + 2.68589i 0.0794650 + 0.100097i
\(721\) 17.1577 + 11.0266i 0.638987 + 0.410652i
\(722\) 13.5855 5.06713i 0.505600 0.188579i
\(723\) −2.70815 4.95961i −0.100717 0.184450i
\(724\) 13.5826 + 15.6752i 0.504794 + 0.582564i
\(725\) −2.93872 + 34.0860i −0.109141 + 1.26592i
\(726\) 14.2831 + 4.19389i 0.530095 + 0.155650i
\(727\) −11.6931 31.3505i −0.433674 1.16272i −0.951611 0.307306i \(-0.900572\pi\)
0.517937 0.855419i \(-0.326700\pi\)
\(728\) 0.101855 + 0.468222i 0.00377501 + 0.0173534i
\(729\) −0.758348 2.58270i −0.0280870 0.0956554i
\(730\) 7.11632 + 28.7560i 0.263387 + 1.06431i
\(731\) −0.569921 1.24795i −0.0210793 0.0461572i
\(732\) 22.4757 + 16.8251i 0.830727 + 0.621874i
\(733\) 22.2456 + 4.83923i 0.821660 + 0.178741i 0.603695 0.797216i \(-0.293695\pi\)
0.217965 + 0.975957i \(0.430058\pi\)
\(734\) 8.66684 10.0021i 0.319899 0.369183i
\(735\) −24.5542 10.3814i −0.905695 0.382922i
\(736\) −2.84147 + 3.86342i −0.104738 + 0.142408i
\(737\) −2.08312 2.08312i −0.0767328 0.0767328i
\(738\) 0.00288028 + 0.0402716i 0.000106025 + 0.00148242i
\(739\) 4.29850 + 6.68860i 0.158123 + 0.246044i 0.911271 0.411807i \(-0.135102\pi\)
−0.753148 + 0.657851i \(0.771466\pi\)
\(740\) 3.38756 12.8792i 0.124529 0.473448i
\(741\) 1.66348 0.759684i 0.0611093 0.0279077i
\(742\) −0.511720 + 0.383069i −0.0187858 + 0.0140629i
\(743\) 18.9929 + 10.3709i 0.696780 + 0.380471i 0.788265 0.615336i \(-0.210980\pi\)
−0.0914850 + 0.995806i \(0.529161\pi\)
\(744\) 5.85973 9.11792i 0.214828 0.334279i
\(745\) −0.218432 + 5.07655i −0.00800274 + 0.185991i
\(746\) 8.32387 28.3485i 0.304758 1.03791i
\(747\) 4.28614 + 0.306551i 0.156822 + 0.0112161i
\(748\) 0.397075 + 0.0283994i 0.0145185 + 0.00103838i
\(749\) 1.54120 5.24883i 0.0563141 0.191788i
\(750\) −15.8361 17.7743i −0.578252 0.649026i
\(751\) −5.47454 + 8.51855i −0.199769 + 0.310846i −0.926656 0.375911i \(-0.877330\pi\)
0.726887 + 0.686757i \(0.240966\pi\)
\(752\) −4.65486 2.54175i −0.169745 0.0926880i
\(753\) −5.41798 + 4.05585i −0.197442 + 0.147803i
\(754\) 2.51992 1.15081i 0.0917700 0.0419100i
\(755\) −7.95511 13.6335i −0.289516 0.496173i
\(756\) 1.99780 + 3.10864i 0.0726594 + 0.113060i
\(757\) −0.896988 12.5415i −0.0326016 0.455830i −0.987365 0.158463i \(-0.949346\pi\)
0.954763 0.297367i \(-0.0961084\pi\)
\(758\) −17.8460 17.8460i −0.648195 0.648195i
\(759\) 18.0266 + 9.64628i 0.654322 + 0.350138i
\(760\) 1.84723 4.36911i 0.0670061 0.158484i
\(761\) −8.34254 + 9.62781i −0.302417 + 0.349008i −0.886536 0.462661i \(-0.846895\pi\)
0.584119 + 0.811668i \(0.301440\pi\)
\(762\) −0.472766 0.102844i −0.0171265 0.00372564i
\(763\) −14.1469 10.5902i −0.512153 0.383393i
\(764\) −2.75304 6.02833i −0.0996016 0.218097i
\(765\) −0.352202 + 0.583848i −0.0127339 + 0.0211091i
\(766\) −3.09427 10.5381i −0.111801 0.380758i
\(767\) −1.11569 5.12875i −0.0402853 0.185189i
\(768\) −0.744093 1.99499i −0.0268501 0.0719880i
\(769\) −38.9331 11.4318i −1.40396 0.412241i −0.509921 0.860221i \(-0.670325\pi\)
−0.894043 + 0.447980i \(0.852144\pi\)
\(770\) 2.40634 4.72083i 0.0867186 0.170127i
\(771\) −3.51874 4.06084i −0.126724 0.146248i
\(772\) 8.99629 + 16.4755i 0.323783 + 0.592965i
\(773\) −5.10843 + 1.90535i −0.183738 + 0.0685306i −0.439649 0.898170i \(-0.644897\pi\)
0.255911 + 0.966700i \(0.417624\pi\)
\(774\) 8.90248 + 5.72128i 0.319993 + 0.205647i
\(775\) −12.5225 + 22.1578i −0.449822 + 0.795932i
\(776\) 7.10501 + 1.02155i 0.255055 + 0.0366714i
\(777\) −5.24495 + 14.0622i −0.188161 + 0.504480i
\(778\) 16.0469 21.4361i 0.575308 0.768521i
\(779\) 0.0469812 0.0301930i 0.00168328 0.00108178i
\(780\) −0.622072 + 1.82446i −0.0222737 + 0.0653262i
\(781\) 25.0077i 0.894848i
\(782\) −0.917158 0.260899i −0.0327975 0.00932973i
\(783\) 15.1063 15.1063i 0.539855 0.539855i
\(784\) 4.23161 + 3.66671i 0.151129 + 0.130954i
\(785\) 4.22675 + 24.4475i 0.150859 + 0.872569i
\(786\) −3.65682 25.4337i −0.130434 0.907192i
\(787\) 44.9559 + 16.7677i 1.60251 + 0.597704i 0.982396 0.186811i \(-0.0598152\pi\)
0.620110 + 0.784515i \(0.287088\pi\)
\(788\) 4.52336 + 6.04250i 0.161138 + 0.215255i
\(789\) 50.5217 14.8345i 1.79862 0.528123i
\(790\) 17.7069 + 25.9044i 0.629982 + 0.921638i
\(791\) 1.11548 2.44255i 0.0396618 0.0868472i
\(792\) −2.69506 + 1.47161i −0.0957648 + 0.0522915i
\(793\) −0.380838 + 5.32481i −0.0135240 + 0.189090i
\(794\) 2.53202 2.19400i 0.0898579 0.0778623i
\(795\) −2.55863 + 0.256198i −0.0907451 + 0.00908642i
\(796\) −13.0839 5.97524i −0.463748 0.211787i
\(797\) 45.0579 9.80176i 1.59603 0.347196i 0.675348 0.737499i \(-0.263993\pi\)
0.920686 + 0.390303i \(0.127630\pi\)
\(798\) −2.56206 + 4.69207i −0.0906961 + 0.166097i
\(799\) 0.150072 1.04377i 0.00530916 0.0369260i
\(800\) 2.01044 + 4.57800i 0.0710798 + 0.161857i
\(801\) −1.92319 + 0.276513i −0.0679526 + 0.00977011i
\(802\) 0.652431 2.99918i 0.0230382 0.105905i
\(803\) −26.4574 + 1.89227i −0.933661 + 0.0667768i
\(804\) −3.13293 −0.110490
\(805\) −7.95249 + 9.89179i −0.280288 + 0.348640i
\(806\) 2.06087 0.0725912
\(807\) −24.0743 + 1.72183i −0.847455 + 0.0606112i
\(808\) 0.683343 3.14128i 0.0240399 0.110510i
\(809\) −19.3351 + 2.77997i −0.679786 + 0.0977385i −0.473554 0.880765i \(-0.657029\pi\)
−0.206232 + 0.978503i \(0.566120\pi\)
\(810\) 0.714223 + 25.1431i 0.0250952 + 0.883438i
\(811\) 1.04045 7.23648i 0.0365351 0.254107i −0.963366 0.268191i \(-0.913574\pi\)
0.999901 + 0.0140840i \(0.00448324\pi\)
\(812\) −3.88115 + 7.10779i −0.136202 + 0.249434i
\(813\) 28.3559 6.16845i 0.994486 0.216337i
\(814\) 10.8467 + 4.95353i 0.380177 + 0.173621i
\(815\) 18.5291 22.6527i 0.649047 0.793489i
\(816\) 0.319948 0.277237i 0.0112004 0.00970522i
\(817\) 1.04425 14.6005i 0.0365336 0.510806i
\(818\) 6.92978 3.78394i 0.242294 0.132302i
\(819\) 0.305283 0.668477i 0.0106675 0.0233585i
\(820\) −0.0108745 + 0.0578526i −0.000379753 + 0.00202030i
\(821\) 22.8472 6.70856i 0.797374 0.234130i 0.142428 0.989805i \(-0.454509\pi\)
0.654947 + 0.755675i \(0.272691\pi\)
\(822\) −23.6306 31.5668i −0.824211 1.10102i
\(823\) 6.74289 + 2.51497i 0.235042 + 0.0876662i 0.464225 0.885717i \(-0.346333\pi\)
−0.229183 + 0.973383i \(0.573605\pi\)
\(824\) −2.45244 17.0571i −0.0854347 0.594211i
\(825\) 18.0982 11.2610i 0.630099 0.392059i
\(826\) 11.5960 + 10.0480i 0.403476 + 0.349614i
\(827\) 3.24669 3.24669i 0.112898 0.112898i −0.648401 0.761299i \(-0.724562\pi\)
0.761299 + 0.648401i \(0.224562\pi\)
\(828\) 7.03946 2.13179i 0.244638 0.0740848i
\(829\) 9.95166i 0.345636i 0.984954 + 0.172818i \(0.0552872\pi\)
−0.984954 + 0.172818i \(0.944713\pi\)
\(830\) 5.92992 + 2.02188i 0.205831 + 0.0701804i
\(831\) −20.7228 + 13.3177i −0.718865 + 0.461987i
\(832\) 0.242625 0.324109i 0.00841150 0.0112364i
\(833\) −0.389052 + 1.04309i −0.0134798 + 0.0361409i
\(834\) −38.7308 5.56865i −1.34114 0.192826i
\(835\) 33.9075 + 3.89606i 1.17342 + 0.134829i
\(836\) 3.57314 + 2.29632i 0.123580 + 0.0794198i
\(837\) 14.8909 5.55401i 0.514704 0.191975i
\(838\) 4.75829 + 8.71416i 0.164373 + 0.301026i
\(839\) 3.93146 + 4.53715i 0.135729 + 0.156640i 0.819545 0.573015i \(-0.194226\pi\)
−0.683816 + 0.729655i \(0.739681\pi\)
\(840\) −1.74045 5.35949i −0.0600512 0.184920i
\(841\) 17.0978 + 5.02037i 0.589580 + 0.173116i
\(842\) −4.75112 12.7383i −0.163734 0.438989i
\(843\) 3.88168 + 17.8438i 0.133692 + 0.614572i
\(844\) 0.579386 + 1.97321i 0.0199433 + 0.0679207i
\(845\) 27.8619 6.89504i 0.958478 0.237197i
\(846\) 3.37896 + 7.39888i 0.116171 + 0.254379i
\(847\) −6.62406 4.95871i −0.227605 0.170383i
\(848\) 0.527744 + 0.114804i 0.0181228 + 0.00394238i
\(849\) −21.2731 + 24.5504i −0.730089 + 0.842568i
\(850\) −0.713152 + 0.692623i −0.0244609 + 0.0237568i
\(851\) −23.0092 16.9228i −0.788745 0.580106i
\(852\) 18.8053 + 18.8053i 0.644259 + 0.644259i
\(853\) 2.25030 + 31.4633i 0.0770488 + 1.07728i 0.878034 + 0.478598i \(0.158855\pi\)
−0.800985 + 0.598684i \(0.795690\pi\)
\(854\) −8.43722 13.1286i −0.288716 0.449250i
\(855\) −6.28355 + 3.66644i −0.214893 + 0.125390i
\(856\) −4.20438 + 1.92008i −0.143703 + 0.0656268i
\(857\) −4.45607 + 3.33577i −0.152216 + 0.113948i −0.672671 0.739941i \(-0.734853\pi\)
0.520455 + 0.853889i \(0.325762\pi\)
\(858\) −1.51485 0.827172i −0.0517162 0.0282392i
\(859\) 7.29231 11.3471i 0.248810 0.387157i −0.694274 0.719711i \(-0.744274\pi\)
0.943084 + 0.332555i \(0.107911\pi\)
\(860\) 10.4309 + 11.3689i 0.355692 + 0.387677i
\(861\) 0.0186906 0.0636544i 0.000636975 0.00216934i
\(862\) 4.06572 + 0.290786i 0.138479 + 0.00990422i
\(863\) 44.7562 + 3.20103i 1.52352 + 0.108964i 0.807814 0.589438i \(-0.200651\pi\)
0.715706 + 0.698402i \(0.246105\pi\)
\(864\) 0.879622 2.99572i 0.0299254 0.101916i
\(865\) 13.9524 + 15.2071i 0.474396 + 0.517056i
\(866\) −16.7872 + 26.1214i −0.570453 + 0.887643i
\(867\) −31.6955 17.3071i −1.07644 0.587779i
\(868\) −4.82295 + 3.61042i −0.163702 + 0.122546i
\(869\) −25.5569 + 11.6714i −0.866958 + 0.395927i
\(870\) −28.1381 + 16.4185i −0.953971 + 0.556641i
\(871\) −0.322064 0.501141i −0.0109127 0.0169805i
\(872\) 1.06518 + 14.8931i 0.0360714 + 0.504344i
\(873\) −7.78434 7.78434i −0.263460 0.263460i
\(874\) −7.25454 7.13288i −0.245388 0.241273i
\(875\) 4.79486 + 12.3332i 0.162096 + 0.416937i
\(876\) −18.4725 + 21.3184i −0.624127 + 0.720280i
\(877\) 10.9768 + 2.38786i 0.370661 + 0.0806323i 0.394037 0.919094i \(-0.371078\pi\)
−0.0233767 + 0.999727i \(0.507442\pi\)
\(878\) 19.7661 + 14.7967i 0.667074 + 0.499365i
\(879\) −28.7734 63.0049i −0.970502 2.12510i
\(880\) −4.34592 + 1.07549i −0.146501 + 0.0362549i
\(881\) 14.9751 + 51.0006i 0.504525 + 1.71825i 0.679495 + 0.733680i \(0.262199\pi\)
−0.174970 + 0.984574i \(0.555983\pi\)
\(882\) −1.82536 8.39105i −0.0614631 0.282541i
\(883\) 5.04295 + 13.5207i 0.169709 + 0.455007i 0.993764 0.111502i \(-0.0355662\pi\)
−0.824055 + 0.566509i \(0.808294\pi\)
\(884\) 0.0772371 + 0.0226789i 0.00259776 + 0.000762772i
\(885\) 19.0643 + 58.7062i 0.640840 + 1.97339i
\(886\) 0.723795 + 0.835303i 0.0243164 + 0.0280626i
\(887\) −4.66866 8.55001i −0.156758 0.287081i 0.787483 0.616337i \(-0.211384\pi\)
−0.944241 + 0.329256i \(0.893202\pi\)
\(888\) 11.8815 4.43156i 0.398716 0.148713i
\(889\) 0.226242 + 0.145397i 0.00758792 + 0.00487646i
\(890\) −2.81432 0.323373i −0.0943362 0.0108395i
\(891\) −22.2930 3.20525i −0.746845 0.107380i
\(892\) −6.31623 + 16.9345i −0.211483 + 0.567008i
\(893\) 6.74247 9.00689i 0.225628 0.301404i
\(894\) −4.07040 + 2.61589i −0.136134 + 0.0874883i
\(895\) −40.4280 13.7844i −1.35136 0.460762i
\(896\) 1.18354i 0.0395395i
\(897\) 3.14723 + 2.68083i 0.105083 + 0.0895104i
\(898\) −5.32078 + 5.32078i −0.177557 + 0.177557i
\(899\) 26.3231 + 22.8091i 0.877923 + 0.760725i
\(900\) 1.73925 7.46845i 0.0579751 0.248948i
\(901\) 0.0152824 + 0.106291i 0.000509130 + 0.00354108i
\(902\) −0.0493853 0.0184198i −0.00164435 0.000613311i
\(903\) −10.4206 13.9203i −0.346776 0.463238i
\(904\) −2.17689 + 0.639191i −0.0724021 + 0.0212592i
\(905\) 8.56773 45.5806i 0.284801 1.51515i
\(906\) 6.24391 13.6723i 0.207440 0.454231i
\(907\) 9.48067 5.17683i 0.314800 0.171894i −0.314079 0.949397i \(-0.601696\pi\)
0.628879 + 0.777503i \(0.283514\pi\)
\(908\) −1.18756 + 16.6042i −0.0394105 + 0.551031i
\(909\) −3.72609 + 3.22868i −0.123587 + 0.107088i
\(910\) 0.678382 0.829354i 0.0224882 0.0274928i
\(911\) −36.2764 16.5669i −1.20189 0.548886i −0.289095 0.957300i \(-0.593354\pi\)
−0.912797 + 0.408415i \(0.866082\pi\)
\(912\) 4.41371 0.960144i 0.146153 0.0317935i
\(913\) −2.68850 + 4.92362i −0.0889764 + 0.162948i
\(914\) −1.53259 + 10.6594i −0.0506936 + 0.352581i
\(915\) −1.78260 62.7538i −0.0589311 2.07458i
\(916\) 16.4929 2.37132i 0.544941 0.0783506i
\(917\) −3.03603 + 13.9564i −0.100259 + 0.460881i
\(918\) 0.619197 0.0442858i 0.0204365 0.00146165i
\(919\) −41.2334 −1.36016 −0.680082 0.733136i \(-0.738056\pi\)
−0.680082 + 0.733136i \(0.738056\pi\)
\(920\) 10.7165 0.395127i 0.353313 0.0130270i
\(921\) 8.53307 0.281174
\(922\) −41.3391 + 2.95663i −1.36143 + 0.0973714i
\(923\) −1.07491 + 4.94126i −0.0353809 + 0.162644i
\(924\) 4.99424 0.718064i 0.164299 0.0236226i
\(925\) −27.2650 + 11.9735i −0.896467 + 0.393686i
\(926\) −0.263593 + 1.83333i −0.00866220 + 0.0602469i
\(927\) −12.6660 + 23.1960i −0.416005 + 0.761855i
\(928\) 6.68611 1.45448i 0.219482 0.0477455i
\(929\) 21.2418 + 9.70082i 0.696922 + 0.318274i 0.732186 0.681104i \(-0.238500\pi\)
−0.0352644 + 0.999378i \(0.511227\pi\)
\(930\) −24.1150 + 2.41466i −0.790763 + 0.0791800i
\(931\) −8.97687 + 7.77851i −0.294205 + 0.254930i
\(932\) 1.32053 18.4635i 0.0432556 0.604792i
\(933\) −54.9011 + 29.9783i −1.79738 + 0.981444i
\(934\) −13.6866 + 29.9695i −0.447839 + 0.980631i
\(935\) −0.502324 0.734879i −0.0164277 0.0240331i
\(936\) −0.595769 + 0.174933i −0.0194733 + 0.00571788i
\(937\) −8.89055 11.8764i −0.290442 0.387985i 0.631460 0.775408i \(-0.282456\pi\)
−0.921902 + 0.387424i \(0.873365\pi\)
\(938\) 1.63165 + 0.608574i 0.0532753 + 0.0198707i
\(939\) −8.29193 57.6716i −0.270597 1.88204i
\(940\) 2.02038 + 11.6859i 0.0658974 + 0.381151i
\(941\) −37.3314 32.3479i −1.21697 1.05451i −0.996872 0.0790318i \(-0.974817\pi\)
−0.220097 0.975478i \(-0.570637\pi\)
\(942\) −16.7053 + 16.7053i −0.544289 + 0.544289i
\(943\) 0.106784 + 0.0673570i 0.00347737 + 0.00219345i
\(944\) 12.9642i 0.421948i
\(945\) 2.66657 7.82073i 0.0867436 0.254408i
\(946\) −11.6221 + 7.46909i −0.377868 + 0.242841i
\(947\) −12.7484 + 17.0299i −0.414268 + 0.553397i −0.958336 0.285644i \(-0.907793\pi\)
0.544068 + 0.839041i \(0.316883\pi\)
\(948\) −10.4416 + 27.9949i −0.339126 + 0.909233i
\(949\) −5.30903 0.763323i −0.172338 0.0247785i
\(950\) −10.2198 + 2.83939i −0.331575 + 0.0921220i
\(951\) 43.8195 + 28.1611i 1.42094 + 0.913185i
\(952\) −0.220485 + 0.0822365i −0.00714595 + 0.00266530i
\(953\) −0.321182 0.588201i −0.0104041 0.0190537i 0.872425 0.488748i \(-0.162546\pi\)
−0.882829 + 0.469694i \(0.844364\pi\)
\(954\) −0.542428 0.625995i −0.0175617 0.0202673i
\(955\) −6.72977 + 13.2027i −0.217770 + 0.427228i
\(956\) −9.90644 2.90879i −0.320397 0.0940771i
\(957\) −10.1940 27.3312i −0.329525 0.883491i
\(958\) 5.32998 + 24.5015i 0.172204 + 0.791608i
\(959\) 6.17510 + 21.0304i 0.199404 + 0.679109i
\(960\) −2.45929 + 4.07679i −0.0793732 + 0.131578i
\(961\) −2.11393 4.62886i −0.0681913 0.149318i
\(962\) 1.93028 + 1.44499i 0.0622346 + 0.0465883i
\(963\) 6.92668 + 1.50681i 0.223209 + 0.0485561i
\(964\) 1.73795 2.00570i 0.0559754 0.0645991i
\(965\) 16.3457 38.6612i 0.526187 1.24455i
\(966\) −12.0618 0.760227i −0.388082 0.0244599i
\(967\) 35.7814 + 35.7814i 1.15065 + 1.15065i 0.986422 + 0.164232i \(0.0525145\pi\)
0.164232 + 0.986422i \(0.447486\pi\)
\(968\) 0.498751 + 6.97345i 0.0160305 + 0.224135i
\(969\) 0.485546 + 0.755524i 0.0155980 + 0.0242709i
\(970\) −8.08917 13.8632i −0.259728 0.445121i
\(971\) 4.11286 1.87828i 0.131988 0.0602769i −0.348326 0.937373i \(-0.613250\pi\)
0.480314 + 0.877096i \(0.340523\pi\)
\(972\) −11.6759 + 8.74044i −0.374503 + 0.280350i
\(973\) 19.0895 + 10.4237i 0.611982 + 0.334168i
\(974\) 20.7820 32.3374i 0.665897 1.03616i
\(975\) 4.06004 1.44714i 0.130025 0.0463457i
\(976\) −3.71486 + 12.6517i −0.118910 + 0.404970i
\(977\) 34.8661 + 2.49367i 1.11546 + 0.0797796i 0.616877 0.787060i \(-0.288398\pi\)
0.498588 + 0.866839i \(0.333852\pi\)
\(978\) 27.7964 + 1.98804i 0.888830 + 0.0635704i
\(979\) 0.714623 2.43378i 0.0228395 0.0777840i
\(980\) 0.538219 12.5087i 0.0171928 0.399575i
\(981\) 12.3803 19.2641i 0.395272 0.615056i
\(982\) −2.72842 1.48983i −0.0870675 0.0475424i
\(983\) −36.9291 + 27.6448i −1.17786 + 0.881732i −0.994848 0.101380i \(-0.967674\pi\)
−0.183008 + 0.983111i \(0.558583\pi\)
\(984\) −0.0509880 + 0.0232854i −0.00162544 + 0.000742312i
\(985\) 4.29330 16.3227i 0.136796 0.520084i
\(986\) 0.735529 + 1.14451i 0.0234240 + 0.0364485i
\(987\) −0.953474 13.3313i −0.0303494 0.424340i
\(988\) 0.607311 + 0.607311i 0.0193211 + 0.0193211i
\(989\) 30.9064 11.8261i 0.982766 0.376049i
\(990\) 6.32421 + 2.67383i 0.200996 + 0.0849800i
\(991\) −6.94872 + 8.01925i −0.220733 + 0.254740i −0.855306 0.518124i \(-0.826631\pi\)
0.634573 + 0.772863i \(0.281176\pi\)
\(992\) 4.97398 + 1.08202i 0.157924 + 0.0343543i
\(993\) −11.2926 8.45355i −0.358361 0.268265i
\(994\) −6.14098 13.4469i −0.194780 0.426509i
\(995\) 7.72640 + 31.2213i 0.244943 + 0.989781i
\(996\) 1.68077 + 5.72416i 0.0532571 + 0.181377i
\(997\) 3.68000 + 16.9167i 0.116547 + 0.535757i 0.997985 + 0.0634567i \(0.0202125\pi\)
−0.881438 + 0.472300i \(0.843424\pi\)
\(998\) 7.19561 + 19.2922i 0.227773 + 0.610683i
\(999\) 17.8415 + 5.23872i 0.564479 + 0.165746i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 230.2.l.a.7.11 240
5.3 odd 4 inner 230.2.l.a.53.5 yes 240
23.10 odd 22 inner 230.2.l.a.217.5 yes 240
115.33 even 44 inner 230.2.l.a.33.11 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.7.11 240 1.1 even 1 trivial
230.2.l.a.33.11 yes 240 115.33 even 44 inner
230.2.l.a.53.5 yes 240 5.3 odd 4 inner
230.2.l.a.217.5 yes 240 23.10 odd 22 inner