Properties

Label 230.2.l.a.33.11
Level $230$
Weight $2$
Character 230.33
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 33.11
Character \(\chi\) \(=\) 230.33
Dual form 230.2.l.a.7.11

$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{22}\right)\)

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 0.901422 + 0.432941i \(0.142524\pi\)
−0.640112 + 0.768282i \(0.721112\pi\)
\(4\) 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 0.748250 0.663417i \(-0.230894\pi\)
−0.962636 + 0.270798i \(0.912713\pi\)
\(8\) 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 0.852433 0.522837i \(-0.175126\pi\)
−0.396201 + 0.918164i \(0.629672\pi\)
\(12\) 0.151898 + 2.12381i 0.0438492 + 0.613092i
\(13\) 0.355339 + 0.194030i 0.0985532 + 0.0538141i 0.527770 0.849388i \(-0.323028\pi\)
−0.429216 + 0.903202i \(0.641210\pi\)
\(14\) −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 −0.785859 0.618406i \(-0.787779\pi\)
0.814758 + 0.579801i \(0.196870\pi\)
\(18\) −1.43696 + 0.535959i −0.338695 + 0.126327i
\(19\) 0.301905 2.09979i 0.0692617 0.481726i −0.925438 0.378900i \(-0.876303\pi\)
0.994699 0.102826i \(-0.0327884\pi\)
\(20\) −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 0.518939 0.854811i \(-0.326327\pi\)
0.738746 + 0.673984i \(0.235418\pi\)
\(30\) −3.72892 2.96031i −0.680805 0.540476i
\(31\) 4.28224 2.75203i 0.769114 0.494279i −0.0962909 0.995353i \(-0.530698\pi\)
0.865404 + 0.501074i \(0.167062\pi\)
\(32\) 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 −0.645916 0.763409i \(-0.723524\pi\)
0.988077 0.153961i \(-0.0492031\pi\)
\(38\) 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 −0.910484 0.413544i \(-0.864291\pi\)
0.908776 + 0.417284i \(0.137018\pi\)
\(42\) 2.01740 1.51021i 0.311292 0.233030i
\(43\) −6.74241 + 1.46672i −1.02821 + 0.223673i −0.694871 0.719135i \(-0.744538\pi\)
−0.333337 + 0.942808i \(0.608175\pi\)
\(44\) 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 −0.925579 0.378554i \(-0.876421\pi\)
0.378554 + 0.925579i \(0.376421\pi\)
\(48\) −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 −0.446363 0.894852i \(-0.647281\pi\)
0.511475 + 0.859298i \(0.329099\pi\)
\(54\) 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 0.752527 + 0.658562i \(0.228835\pi\)
−0.277020 + 0.960864i \(0.589347\pi\)
\(60\) −3.50823 3.21879i −0.452911 0.415544i
\(61\) −7.12877 11.0926i −0.912745 1.42026i −0.907397 0.420274i \(-0.861934\pi\)
−0.00534774 0.999986i \(-0.501702\pi\)
\(62\) 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 0.987003 + 0.160701i \(0.0513754\pi\)
−0.999827 + 0.0185997i \(0.994079\pi\)
\(68\) 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 −0.992713 0.120504i \(-0.961549\pi\)
0.0220000 0.999758i \(-0.492997\pi\)
\(72\) −1.49861 + 0.326003i −0.176613 + 0.0384198i
\(73\) −10.6056 + 7.93925i −1.24129 + 0.929219i −0.999158 0.0410243i \(-0.986938\pi\)
−0.242133 + 0.970243i \(0.577847\pi\)
\(74\) 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 −0.930371 0.366618i \(-0.880515\pi\)
−0.584469 + 0.811416i \(0.698697\pi\)
\(80\) −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 0.201231 0.979544i \(-0.435506\pi\)
−0.489384 + 0.872068i \(0.662778\pi\)
\(84\) 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 0.595906 0.803054i \(-0.296793\pi\)
−0.482935 + 0.875656i \(0.660429\pi\)
\(90\) 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 0.0160008 0.999872i \(-0.494907\pi\)
0.666870 + 0.745175i \(0.267634\pi\)
\(98\) 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 0.964363 0.264581i \(-0.0852337\pi\)
−0.831481 + 0.555553i \(0.812506\pi\)
\(102\) 0.371567 + 0.202891i 0.0367906 + 0.0200892i
\(103\) 1.22935 + 17.1886i 0.121132 + 1.69364i 0.587639 + 0.809123i \(0.300057\pi\)
−0.466508 + 0.884517i \(0.654488\pi\)
\(104\) 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 −0.0111179 0.999938i \(-0.503539\pi\)
−0.425502 + 0.904957i \(0.639903\pi\)
\(108\) 1.49631 + 2.74028i 0.143982 + 0.263684i
\(109\) −2.12492 14.7792i −0.203531 1.41559i −0.793701 0.608309i \(-0.791848\pi\)
0.590170 0.807279i \(-0.299061\pi\)
\(110\) −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 −0.0355111 0.999369i \(-0.511306\pi\)
−0.177375 + 0.984143i \(0.556760\pi\)
\(114\) 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 0.998121 0.0612796i \(-0.0195181\pi\)
−0.996682 + 0.0813915i \(0.974064\pi\)
\(128\) 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 0.745233 0.666804i \(-0.232338\pi\)
0.266428 + 0.963855i \(0.414156\pi\)
\(132\) −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 0.991920 + 0.126865i \(0.0404916\pi\)
0.126865 + 0.991920i \(0.459508\pi\)
\(138\) 4.32039 9.25248i 0.367776 0.787624i
\(139\) 18.3770i 1.55872i 0.626578 + 0.779359i \(0.284455\pi\)
−0.626578 + 0.779359i \(0.715545\pi\)
\(140\) 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 −0.813424 0.581672i \(-0.802399\pi\)
0.691513 + 0.722364i \(0.256944\pi\)
\(150\) 10.6068 0.914469i 0.866046 0.0746661i
\(151\) 6.77317 1.98878i 0.551193 0.161845i 0.00573571 0.999984i \(-0.498174\pi\)
0.545457 + 0.838139i \(0.316356\pi\)
\(152\) 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 −0.891783 0.452464i \(-0.850545\pi\)
0.182892 + 0.983133i \(0.441454\pi\)
\(158\) −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 −0.819896 0.572513i \(-0.805969\pi\)
0.893027 0.450003i \(-0.148577\pi\)
\(164\) −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 0.0108353 0.999941i \(-0.496551\pi\)
−0.956384 + 0.292112i \(0.905642\pi\)
\(168\) 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 −0.416766 0.909014i \(-0.636836\pi\)
−0.283157 + 0.959073i \(0.591382\pi\)
\(174\) 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 0.940268 0.340435i \(-0.110574\pi\)
0.358461 + 0.933545i \(0.383302\pi\)
\(180\) 1.72832 2.96200i 0.128822 0.220775i
\(181\) 11.2136 17.4486i 0.833497 1.29695i −0.119152 0.992876i \(-0.538018\pi\)
0.952649 0.304071i \(-0.0983461\pi\)
\(182\) 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 −0.999055 0.0434627i \(-0.986161\pi\)
0.863956 + 0.503567i \(0.167979\pi\)
\(192\) −0.452602 + 2.08058i −0.0326638 + 0.150153i
\(193\) 6.56001 17.5881i 0.472200 1.26602i −0.454678 0.890656i \(-0.650246\pi\)
0.926878 0.375362i \(-0.122481\pi\)
\(194\) 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 −0.716492 0.697596i \(-0.754253\pi\)
0.974219 + 0.225603i \(0.0724351\pi\)
\(198\) −2.87706 1.07309i −0.204464 0.0762610i
\(199\) −12.1004 + 7.77646i −0.857775 + 0.551259i −0.893991 0.448085i \(-0.852106\pi\)
0.0362157 + 0.999344i \(0.488470\pi\)
\(200\) 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 −0.977264 0.212025i \(-0.931994\pi\)
0.997413 + 0.0718903i \(0.0229031\pi\)
\(212\) 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 −0.988745 0.149608i \(-0.952199\pi\)
0.408697 0.912670i \(-0.365983\pi\)
\(224\) −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 −0.931933 0.362629i \(-0.881879\pi\)
0.697075 0.716998i \(-0.254485\pi\)
\(228\) 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 0.905921 + 0.423446i \(0.139180\pi\)
−0.648149 + 0.761514i \(0.724457\pi\)
\(234\) −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 −0.695318 0.718702i \(-0.744736\pi\)
0.0878228 + 0.996136i \(0.472009\pi\)
\(240\) −3.01444 3.68530i −0.194582 0.237885i
\(241\) 2.00570 + 1.73795i 0.129198 + 0.111951i 0.717063 0.697008i \(-0.245486\pi\)
−0.587865 + 0.808959i \(0.700031\pi\)
\(242\) −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 −0.727370 0.686246i \(-0.759257\pi\)
0.575745 + 0.817629i \(0.304712\pi\)
\(252\) 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 0.845226 0.534410i \(-0.179466\pi\)
−0.750890 + 0.660427i \(0.770375\pi\)
\(258\) −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 −0.202516 0.979279i \(-0.564912\pi\)
0.933310 0.359071i \(-0.116906\pi\)
\(264\) −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 0.803026 + 0.595944i \(0.203222\pi\)
−0.997740 + 0.0671917i \(0.978596\pi\)
\(270\) −6.77699 1.67712i −0.412435 0.102066i
\(271\) 5.66163 12.3972i 0.343920 0.753079i −0.656079 0.754692i \(-0.727786\pi\)
0.999999 + 0.00161319i \(0.000513495\pi\)
\(272\) 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 −0.908785 0.417264i \(-0.862989\pi\)
0.417264 + 0.908785i \(0.362989\pi\)
\(278\) −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 0.168899 0.985633i \(-0.445979\pi\)
−0.634287 + 0.773098i \(0.718706\pi\)
\(282\) −9.04023 6.76743i −0.538338 0.402995i
\(283\) −13.3904 + 7.31169i −0.795974 + 0.434635i −0.825132 0.564940i \(-0.808899\pi\)
0.0291578 + 0.999575i \(0.490717\pi\)
\(284\) −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 0.947421 + 0.319989i \(0.103679\pi\)
0.573946 + 0.818893i \(0.305412\pi\)
\(294\) 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 −0.946427 0.322919i \(-0.895336\pi\)
0.995045 + 0.0994222i \(0.0316994\pi\)
\(308\) 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 −0.127245 + 0.991871i \(0.540613\pi\)
−0.963667 + 0.267107i \(0.913932\pi\)
\(312\) −0.413135 + 0.756601i −0.0233892 + 0.0428341i
\(313\) 25.6388 + 9.56277i 1.44919 + 0.540520i 0.946146 0.323741i \(-0.104941\pi\)
0.503044 + 0.864261i \(0.332213\pi\)
\(314\) −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 −0.920924 0.389743i \(-0.872564\pi\)
0.440760 0.897625i \(-0.354709\pi\)
\(318\) 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 0.970063 0.242853i \(-0.0780833\pi\)
−0.818792 + 0.574090i \(0.805356\pi\)
\(332\) −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 0.809018 0.587784i \(-0.200000\pi\)
0.491734 + 0.870745i \(0.336363\pi\)
\(338\) −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 −0.476823 0.878999i \(-0.658212\pi\)
−0.597064 + 0.802193i \(0.703666\pi\)
\(348\) 3.09693 + 14.2363i 0.166013 + 0.763148i
\(349\) 5.05279 + 0.726482i 0.270470 + 0.0388877i 0.276215 0.961096i \(-0.410920\pi\)
−0.00574545 + 0.999983i \(0.501829\pi\)
\(350\) −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 −0.999987 0.00506422i \(-0.998388\pi\)
−0.911724 0.410803i \(-0.865248\pi\)
\(354\) −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 0.999076 0.0429799i \(-0.0136851\pi\)
−0.686738 + 0.726905i \(0.740958\pi\)
\(360\) 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 0.907832 0.419333i \(-0.137736\pi\)
−0.419333 + 0.907832i \(0.637736\pi\)
\(368\) −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 0.870842 + 0.491563i \(0.163574\pi\)
−0.336233 + 0.941779i \(0.609153\pi\)
\(374\) 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 −0.999961 0.00878623i \(-0.997203\pi\)
0.151006 + 0.988533i \(0.451749\pi\)
\(380\) 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 0.878243 + 0.478215i \(0.158716\pi\)
−0.997535 + 0.0701648i \(0.977647\pi\)
\(384\) −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 0.999483 + 0.0321561i \(0.0102374\pi\)
−0.110412 + 0.993886i \(0.535217\pi\)
\(390\) −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 0.664461 0.747323i \(-0.268661\pi\)
−0.529851 + 0.848091i \(0.677752\pi\)
\(398\) −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 0.978262 0.207371i \(-0.0664907\pi\)
−0.935080 + 0.354437i \(0.884673\pi\)
\(402\) −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 0.584988 0.811042i \(-0.301099\pi\)
−0.229858 + 0.973224i \(0.573826\pi\)
\(410\) −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 −0.781728 0.623620i \(-0.785661\pi\)
0.983223 + 0.182406i \(0.0583886\pi\)
\(420\) −1.35367 + 5.46999i −0.0660524 + 0.266908i
\(421\) −3.83028 + 13.0447i −0.186676 + 0.635762i 0.811968 + 0.583703i \(0.198397\pi\)
−0.998644 + 0.0520590i \(0.983422\pi\)
\(422\) 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 −0.0444570 0.999011i \(-0.514156\pi\)
0.238798 + 0.971069i \(0.423247\pi\)
\(432\) 1.09109 + 2.92533i 0.0524953 + 0.140745i
\(433\) −18.6079 24.8573i −0.894241 1.19457i −0.980149 0.198262i \(-0.936470\pi\)
0.0859085 0.996303i \(-0.472621\pi\)
\(434\) −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 −0.0838105 0.996482i \(-0.526709\pi\)
0.974411 + 0.224772i \(0.0721636\pi\)
\(440\) −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 −0.784530 0.620090i \(-0.787096\pi\)
0.816000 + 0.578052i \(0.196187\pi\)
\(444\) 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 0.510267 0.860016i \(-0.329547\pi\)
−0.778644 + 0.627466i \(0.784092\pi\)
\(450\) 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 −0.999183 0.0404082i \(-0.987134\pi\)
0.892103 0.451832i \(-0.149229\pi\)
\(458\) 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 0.967093 0.254424i \(-0.0818858\pi\)
−0.985390 + 0.170313i \(0.945522\pi\)
\(464\) 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 −0.933387 0.358871i \(-0.883162\pi\)
0.202726 0.979236i \(-0.435020\pi\)
\(468\) −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 −0.729799 0.683662i \(-0.760386\pi\)
0.892847 0.450361i \(-0.148705\pi\)
\(480\) −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 0.915320 + 0.402726i \(0.131937\pi\)
0.128538 + 0.991705i \(0.458972\pi\)
\(488\) −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 −0.598320 0.801257i \(-0.704165\pi\)
0.480298 + 0.877105i \(0.340528\pi\)
\(492\) −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 −0.721672 0.692236i \(-0.756626\pi\)
0.981360 0.192181i \(-0.0615559\pi\)
\(500\) 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 −0.446269 0.894899i \(-0.647248\pi\)
−0.0341865 + 0.999415i \(0.510884\pi\)
\(504\) 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 −0.405843 0.913943i \(-0.633022\pi\)
0.999945 0.0104974i \(-0.00334147\pi\)
\(510\) −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 0.972271 0.233859i \(-0.0751353\pi\)
−0.616621 + 0.787260i \(0.711499\pi\)
\(522\) −9.21040 + 5.02926i −0.403128 + 0.220125i
\(523\) 23.1036 + 17.2952i 1.01025 + 0.756264i 0.970045 0.242927i \(-0.0781076\pi\)
0.0402062 + 0.999191i \(0.487199\pi\)
\(524\) 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 −0.998503 0.0547059i \(-0.982578\pi\)
0.196251 + 0.980554i \(0.437123\pi\)
\(542\) 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 0.919210 0.393768i \(-0.128829\pi\)
−0.952556 + 0.304364i \(0.901556\pi\)
\(548\) 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 −0.348142 0.937442i \(-0.613187\pi\)
0.350785 + 0.936456i \(0.385915\pi\)
\(558\) −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 0.998577 + 0.0533333i \(0.0169846\pi\)
−0.980823 + 0.194903i \(0.937561\pi\)
\(564\) −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 −0.650620 0.759403i \(-0.725491\pi\)
0.410317 0.911943i \(-0.365418\pi\)
\(570\) −7.34182 + 6.93623i −0.307515 + 0.290527i
\(571\) 26.2360 + 3.77217i 1.09794 + 0.157860i 0.667392 0.744706i \(-0.267410\pi\)
0.430550 + 0.902567i \(0.358319\pi\)
\(572\) 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 0.202743 0.979232i \(-0.435014\pi\)
0.0613205 + 0.998118i \(0.480469\pi\)
\(578\) 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 −0.823152 0.567821i \(-0.807787\pi\)
0.733964 0.679188i \(-0.237668\pi\)
\(588\) 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 −0.989862 0.142031i \(-0.954637\pi\)
−0.655078 + 0.755562i \(0.727364\pi\)
\(594\) −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 \(0.0328840\pi\)
−0.994668 + 0.103124i \(0.967116\pi\)
\(600\) 10.6290 + 0.604351i 0.433928 + 0.0246725i
\(601\) −23.9329 15.3807i −0.976242 0.627393i −0.0477949 0.998857i \(-0.515219\pi\)
−0.928447 + 0.371465i \(0.878856\pi\)
\(602\) 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 0.813987 0.580882i \(-0.197292\pi\)
0.234774 + 0.972050i \(0.424565\pi\)
\(608\) 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 −0.624631 0.780920i \(-0.714751\pi\)
0.892590 0.450869i \(-0.148886\pi\)
\(614\) 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 −0.658838 0.752285i \(-0.728952\pi\)
0.536196 + 0.844093i \(0.319861\pi\)
\(618\) −35.8535 + 7.79946i −1.44224 + 0.313740i
\(619\) 9.92087 + 11.4493i 0.398754 + 0.460186i 0.919248 0.393679i \(-0.128798\pi\)
−0.520494 + 0.853865i \(0.674252\pi\)
\(620\) −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 0.953130 + 0.302561i \(0.0978416\pi\)
−0.638247 + 0.769831i \(0.720340\pi\)
\(632\) −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 0.0871317 + 0.996197i \(0.472230\pi\)
−0.942368 + 0.334577i \(0.891406\pi\)
\(642\) 0.702083 9.81641i 0.0277090 0.387423i
\(643\) −3.27418 + 3.27418i −0.129121 + 0.129121i −0.768714 0.639593i \(-0.779103\pi\)
0.639593 + 0.768714i \(0.279103\pi\)
\(644\) −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 0.481228 0.876595i \(-0.340191\pi\)
0.801891 + 0.597470i \(0.203827\pi\)
\(648\) −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 −0.923510 0.383575i \(-0.874693\pi\)
0.949130 + 0.314884i \(0.101966\pi\)
\(654\) 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 −0.990878 0.134765i \(-0.956972\pi\)
−0.289038 + 0.957317i \(0.593336\pi\)
\(660\) −1.08817 9.47033i −0.0423568 0.368632i
\(661\) −19.9226 + 2.86444i −0.774901 + 0.111414i −0.518409 0.855133i \(-0.673476\pi\)
−0.256491 + 0.966546i \(0.582567\pi\)
\(662\) 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 −0.919434 0.393245i \(-0.871353\pi\)
0.636350 + 0.771400i \(0.280443\pi\)
\(674\) 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 0.549720 0.835349i \(-0.314734\pi\)
−0.405539 + 0.914078i \(0.632916\pi\)
\(678\) −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 0.988704 + 0.149880i \(0.0478886\pi\)
−0.408447 + 0.912782i \(0.633930\pi\)
\(684\) 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 0.570206 0.821502i \(-0.306863\pi\)
−0.731991 + 0.681314i \(0.761409\pi\)
\(702\) 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 0.663428 + 0.748240i \(0.269101\pi\)
−0.847358 + 0.531021i \(0.821808\pi\)
\(710\) 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 −0.854658 0.519192i \(-0.826233\pi\)
−0.673765 + 0.738946i \(0.735324\pi\)
\(720\) 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 0.517937 + 0.855419i \(0.326700\pi\)
−0.951611 + 0.307306i \(0.900572\pi\)
\(728\) 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 0.217965 0.975957i \(-0.430058\pi\)
0.603695 + 0.797216i \(0.293695\pi\)
\(734\) 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 −0.753148 0.657851i \(-0.771466\pi\)
0.911271 + 0.411807i \(0.135102\pi\)
\(740\) 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 −0.0914850 0.995806i \(-0.529161\pi\)
0.788265 + 0.615336i \(0.210980\pi\)
\(744\) 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 0.726887 0.686757i \(-0.240966\pi\)
−0.926656 + 0.375911i \(0.877330\pi\)
\(752\) −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 0.954763 + 0.297367i \(0.0961084\pi\)
−0.987365 + 0.158463i \(0.949346\pi\)
\(758\) −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 0.584119 0.811668i \(-0.301440\pi\)
−0.886536 + 0.462661i \(0.846895\pi\)
\(762\) −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 −0.894043 0.447980i \(-0.852144\pi\)
−0.509921 + 0.860221i \(0.670325\pi\)
\(770\) 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 0.255911 0.966700i \(-0.417624\pi\)
−0.439649 + 0.898170i \(0.644897\pi\)
\(774\) 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 0.620110 0.784515i \(-0.287088\pi\)
0.982396 + 0.186811i \(0.0598152\pi\)
\(788\) 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 0.920686 0.390303i \(-0.127630\pi\)
0.675348 + 0.737499i \(0.263993\pi\)
\(798\) −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 −0.206232 0.978503i \(-0.566120\pi\)
−0.473554 + 0.880765i \(0.657029\pi\)
\(810\) 0.714223 25.1431i 0.0250952 0.883438i
\(811\) 1.04045 + 7.23648i 0.0365351 + 0.254107i 0.999901 0.0140840i \(-0.00448324\pi\)
−0.963366 + 0.268191i \(0.913574\pi\)
\(812\) −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 0.654947 0.755675i \(-0.272691\pi\)
0.142428 + 0.989805i \(0.454509\pi\)
\(822\) −23.6306 + 31.5668i −0.824211 + 1.10102i
\(823\) 6.74289 2.51497i 0.235042 0.0876662i −0.229183 0.973383i \(-0.573605\pi\)
0.464225 + 0.885717i \(0.346333\pi\)
\(824\) −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 0.761299 0.648401i \(-0.224562\pi\)
−0.648401 + 0.761299i \(0.724562\pi\)
\(828\) 7.03946 + 2.13179i 0.244638 + 0.0740848i
\(829\) 9.95166i 0.345636i −0.984954 0.172818i \(-0.944713\pi\)
0.984954 0.172818i \(-0.0552872\pi\)
\(830\) 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 −0.683816 0.729655i \(-0.739681\pi\)
0.819545 + 0.573015i \(0.194226\pi\)
\(840\) −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 −0.800985 0.598684i \(-0.795690\pi\)
0.878034 0.478598i \(-0.158855\pi\)
\(854\) −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 0.520455 0.853889i \(-0.325762\pi\)
−0.672671 + 0.739941i \(0.734853\pi\)
\(858\) −1.51485 + 0.827172i −0.0517162 + 0.0282392i
\(859\) 7.29231 + 11.3471i 0.248810 + 0.387157i 0.943084 0.332555i \(-0.107911\pi\)
−0.694274 + 0.719711i \(0.744274\pi\)
\(860\) 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 0.715706 0.698402i \(-0.246105\pi\)
0.807814 + 0.589438i \(0.200651\pi\)
\(864\) 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 −0.0233767 0.999727i \(-0.507442\pi\)
0.394037 + 0.919094i \(0.371078\pi\)
\(878\) 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 −0.174970 0.984574i \(-0.555983\pi\)
0.679495 0.733680i \(-0.262199\pi\)
\(882\) −1.82536 + 8.39105i −0.0614631 + 0.282541i
\(883\) 5.04295 13.5207i 0.169709 0.455007i −0.824055 0.566509i \(-0.808294\pi\)
0.993764 + 0.111502i \(0.0355662\pi\)
\(884\) 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 −0.944241 0.329256i \(-0.893202\pi\)
0.787483 + 0.616337i \(0.211384\pi\)
\(888\) 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 0.628879 0.777503i \(-0.283514\pi\)
−0.314079 + 0.949397i \(0.601696\pi\)
\(908\) −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 −0.912797 0.408415i \(-0.866082\pi\)
−0.289095 + 0.957300i \(0.593354\pi\)
\(912\) 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 −0.0352644 0.999378i \(-0.511227\pi\)
0.732186 + 0.681104i \(0.238500\pi\)
\(930\) −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 −0.921902 0.387424i \(-0.873365\pi\)
0.631460 + 0.775408i \(0.282456\pi\)
\(938\) 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 −0.220097 + 0.975478i \(0.570637\pi\)
−0.996872 + 0.0790318i \(0.974817\pi\)
\(942\) −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 0.544068 0.839041i \(-0.316883\pi\)
−0.958336 + 0.285644i \(0.907793\pi\)
\(948\) −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 −0.882829 0.469694i \(-0.844364\pi\)
0.872425 + 0.488748i \(0.162546\pi\)
\(954\) −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 0.164232 0.986422i \(-0.447486\pi\)
0.986422 0.164232i \(-0.0525145\pi\)
\(968\) 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 0.480314 0.877096i \(-0.340523\pi\)
−0.348326 + 0.937373i \(0.613250\pi\)
\(972\) −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 0.498588 0.866839i \(-0.333852\pi\)
0.616877 + 0.787060i \(0.288398\pi\)
\(978\) 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 −0.183008 0.983111i \(-0.558583\pi\)
−0.994848 + 0.101380i \(0.967674\pi\)
\(984\) −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 0.634573 0.772863i \(-0.281176\pi\)
−0.855306 + 0.518124i \(0.826631\pi\)
\(992\) 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 −0.881438 0.472300i \(-0.843424\pi\)
0.997985 0.0634567i \(-0.0202125\pi\)
\(998\) 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.33.11 yes 240
5.2 odd 4 inner 230.2.l.a.217.5 yes 240
23.7 odd 22 inner 230.2.l.a.53.5 yes 240
115.7 even 44 inner 230.2.l.a.7.11 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.7.11 240 115.7 even 44 inner
230.2.l.a.33.11 yes 240 1.1 even 1 trivial
230.2.l.a.53.5 yes 240 23.7 odd 22 inner
230.2.l.a.217.5 yes 240 5.2 odd 4 inner