Properties

Label 538.2.e.a.103.6
Level $538$
Weight $2$
Character 538.103
Analytic conductor $4.296$
Analytic rank $0$
Dimension $1452$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [538,2,Mod(9,538)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(538, base_ring=CyclotomicField(134))
 
chi = DirichletCharacter(H, H._module([109]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("538.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 538 = 2 \cdot 269 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 538.e (of order \(134\), degree \(66\), 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: \(4.29595162874\)
Analytic rank: \(0\)
Dimension: \(1452\)
Relative dimension: \(22\) over \(\Q(\zeta_{134})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{134}]$

Embedding invariants

Embedding label 103.6
Character \(\chi\) \(=\) 538.103
Dual form 538.2.e.a.491.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.366380 - 0.930465i) q^{2} +(0.0594714 + 1.26740i) q^{3} +(-0.731531 + 0.681808i) q^{4} +(3.62229 + 2.05376i) q^{5} +(1.15749 - 0.519687i) q^{6} +(-2.31918 - 2.06209i) q^{7} +(0.902417 + 0.430864i) q^{8} +(1.38404 - 0.130176i) q^{9} +O(q^{10})\) \(q+(-0.366380 - 0.930465i) q^{2} +(0.0594714 + 1.26740i) q^{3} +(-0.731531 + 0.681808i) q^{4} +(3.62229 + 2.05376i) q^{5} +(1.15749 - 0.519687i) q^{6} +(-2.31918 - 2.06209i) q^{7} +(0.902417 + 0.430864i) q^{8} +(1.38404 - 0.130176i) q^{9} +(0.583814 - 4.12287i) q^{10} +(0.568300 - 4.82578i) q^{11} +(-0.907631 - 0.886597i) q^{12} +(3.30337 + 0.467769i) q^{13} +(-1.06900 + 2.91342i) q^{14} +(-2.38752 + 4.71305i) q^{15} +(0.0702762 - 0.997528i) q^{16} +(0.156542 - 0.0184350i) q^{17} +(-0.628210 - 1.24011i) q^{18} +(-3.73375 + 1.57227i) q^{19} +(-4.05009 + 0.967320i) q^{20} +(2.47557 - 3.06197i) q^{21} +(-4.69843 + 1.23928i) q^{22} +(6.62547 - 0.310893i) q^{23} +(-0.492410 + 1.16935i) q^{24} +(6.33572 + 10.5881i) q^{25} +(-0.775045 - 3.24505i) q^{26} +(0.780971 + 5.51520i) q^{27} +(3.10250 - 0.0727505i) q^{28} +(4.30501 + 2.57604i) q^{29} +(5.26006 + 0.494734i) q^{30} +(-1.92648 + 8.06600i) q^{31} +(-0.953913 + 0.300085i) q^{32} +(6.15000 + 0.433270i) q^{33} +(-0.0745071 - 0.138903i) q^{34} +(-4.16571 - 12.2325i) q^{35} +(-0.923716 + 1.03888i) q^{36} +(-5.42167 - 8.16581i) q^{37} +(2.83091 + 2.89807i) q^{38} +(-0.396396 + 4.21452i) q^{39} +(2.38393 + 3.41406i) q^{40} +(-3.01192 - 1.18597i) q^{41} +(-3.75605 - 1.18159i) q^{42} +(-4.08202 + 6.82176i) q^{43} +(2.87452 + 3.91768i) q^{44} +(5.28076 + 2.37095i) q^{45} +(-2.71672 - 6.05087i) q^{46} +(-2.00749 - 1.26608i) q^{47} +(1.26845 + 0.0297439i) q^{48} +(0.307684 + 2.61273i) q^{49} +(7.53057 - 9.77443i) q^{50} +(0.0326743 + 0.197306i) q^{51} +(-2.73545 + 1.91007i) q^{52} +(-0.340238 + 1.08155i) q^{53} +(4.84557 - 2.74732i) q^{54} +(11.9695 - 16.3132i) q^{55} +(-1.20438 - 2.86011i) q^{56} +(-2.21475 - 4.63866i) q^{57} +(0.819646 - 4.94948i) q^{58} +(-5.07905 - 5.44946i) q^{59} +(-1.46685 - 5.07557i) q^{60} +(1.96608 - 9.17909i) q^{61} +(8.21096 - 1.16270i) q^{62} +(-3.47827 - 2.55212i) q^{63} +(0.628713 + 0.777638i) q^{64} +(11.0051 + 8.47871i) q^{65} +(-1.85010 - 5.88110i) q^{66} +(8.97398 + 8.36400i) q^{67} +(-0.101947 + 0.120218i) q^{68} +(0.788053 + 8.37866i) q^{69} +(-9.85569 + 8.35779i) q^{70} +(0.00841757 - 0.00308860i) q^{71} +(1.30507 + 0.478861i) q^{72} +(-3.83019 - 3.24806i) q^{73} +(-5.61161 + 8.03647i) q^{74} +(-13.0426 + 8.65960i) q^{75} +(1.65937 - 3.69586i) q^{76} +(-11.2692 + 10.0199i) q^{77} +(4.06669 - 1.17528i) q^{78} +(-3.55032 - 13.4601i) q^{79} +(2.30324 - 3.46901i) q^{80} +(-2.84622 + 0.540179i) q^{81} +3.23700i q^{82} +(0.183595 + 0.967364i) q^{83} +(0.276714 + 3.92779i) q^{84} +(0.604903 + 0.254723i) q^{85} +(7.84298 + 1.29882i) q^{86} +(-3.00886 + 5.60939i) q^{87} +(2.59210 - 4.11000i) q^{88} +(4.94186 - 1.68292i) q^{89} +(0.271325 - 5.78223i) q^{90} +(-6.69651 - 7.89667i) q^{91} +(-4.63477 + 4.74473i) q^{92} +(-10.3374 - 1.96193i) q^{93} +(-0.442542 + 2.33177i) q^{94} +(-16.7538 - 1.97298i) q^{95} +(-0.437059 - 1.19115i) q^{96} +(-0.0510617 - 0.238394i) q^{97} +(2.31832 - 1.24354i) q^{98} +(0.158353 - 6.75306i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1452 q + 22 q^{4} - 2 q^{5} + 2 q^{6} + 20 q^{9} + 2 q^{11} - 10 q^{13} + 12 q^{14} - 22 q^{16} + 2 q^{20} + 12 q^{21} - 4 q^{23} - 2 q^{24} - 24 q^{25} - 8 q^{30} - 12 q^{34} - 20 q^{36} - 396 q^{37} - 2 q^{38} + 24 q^{41} + 14 q^{43} - 2 q^{44} - 42 q^{45} - 402 q^{47} + 22 q^{49} + 12 q^{51} + 10 q^{52} - 10 q^{53} - 8 q^{54} - 4 q^{55} - 12 q^{56} + 16 q^{57} - 18 q^{58} - 268 q^{60} - 2 q^{61} + 4 q^{62} + 22 q^{64} + 16 q^{65} + 40 q^{66} + 6 q^{67} - 106 q^{73} + 40 q^{78} + 40 q^{79} - 2 q^{80} - 14 q^{81} - 402 q^{83} - 12 q^{84} - 100 q^{87} + 4 q^{92} - 340 q^{93} + 2 q^{96} - 64 q^{97} + 18 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/538\mathbb{Z}\right)^\times\).

\(n\) \(271\)
\(\chi(n)\) \(e\left(\frac{51}{134}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.366380 0.930465i −0.259070 0.657938i
\(3\) 0.0594714 + 1.26740i 0.0343358 + 0.731736i 0.946654 + 0.322253i \(0.104440\pi\)
−0.912318 + 0.409483i \(0.865709\pi\)
\(4\) −0.731531 + 0.681808i −0.365766 + 0.340904i
\(5\) 3.62229 + 2.05376i 1.61994 + 0.918468i 0.989878 + 0.141922i \(0.0453282\pi\)
0.630061 + 0.776546i \(0.283030\pi\)
\(6\) 1.15749 0.519687i 0.472542 0.212162i
\(7\) −2.31918 2.06209i −0.876566 0.779396i 0.0999157 0.994996i \(-0.468143\pi\)
−0.976482 + 0.215600i \(0.930829\pi\)
\(8\) 0.902417 + 0.430864i 0.319053 + 0.152333i
\(9\) 1.38404 0.130176i 0.461348 0.0433920i
\(10\) 0.583814 4.12287i 0.184618 1.30377i
\(11\) 0.568300 4.82578i 0.171349 1.45503i −0.590378 0.807127i \(-0.701021\pi\)
0.761726 0.647899i \(-0.224352\pi\)
\(12\) −0.907631 0.886597i −0.262010 0.255939i
\(13\) 3.30337 + 0.467769i 0.916189 + 0.129736i 0.582391 0.812909i \(-0.302117\pi\)
0.333798 + 0.942645i \(0.391670\pi\)
\(14\) −1.06900 + 2.91342i −0.285703 + 0.778644i
\(15\) −2.38752 + 4.71305i −0.616454 + 1.21690i
\(16\) 0.0702762 0.997528i 0.0175690 0.249382i
\(17\) 0.156542 0.0184350i 0.0379671 0.00447114i −0.0979504 0.995191i \(-0.531229\pi\)
0.135917 + 0.990720i \(0.456602\pi\)
\(18\) −0.628210 1.24011i −0.148071 0.292297i
\(19\) −3.73375 + 1.57227i −0.856580 + 0.360703i −0.771930 0.635707i \(-0.780709\pi\)
−0.0846500 + 0.996411i \(0.526977\pi\)
\(20\) −4.05009 + 0.967320i −0.905627 + 0.216299i
\(21\) 2.47557 3.06197i 0.540214 0.668176i
\(22\) −4.69843 + 1.23928i −1.00171 + 0.264216i
\(23\) 6.62547 0.310893i 1.38151 0.0648256i 0.656894 0.753983i \(-0.271870\pi\)
0.724612 + 0.689157i \(0.242019\pi\)
\(24\) −0.492410 + 1.16935i −0.100513 + 0.238693i
\(25\) 6.33572 + 10.5881i 1.26714 + 2.11762i
\(26\) −0.775045 3.24505i −0.151999 0.636407i
\(27\) 0.780971 + 5.51520i 0.150298 + 1.06140i
\(28\) 3.10250 0.0727505i 0.586317 0.0137486i
\(29\) 4.30501 + 2.57604i 0.799421 + 0.478359i 0.854077 0.520146i \(-0.174123\pi\)
−0.0546560 + 0.998505i \(0.517406\pi\)
\(30\) 5.26006 + 0.494734i 0.960352 + 0.0903257i
\(31\) −1.92648 + 8.06600i −0.346006 + 1.44870i 0.476115 + 0.879383i \(0.342045\pi\)
−0.822121 + 0.569313i \(0.807209\pi\)
\(32\) −0.953913 + 0.300085i −0.168630 + 0.0530480i
\(33\) 6.15000 + 0.433270i 1.07058 + 0.0754226i
\(34\) −0.0745071 0.138903i −0.0127779 0.0238217i
\(35\) −4.16571 12.2325i −0.704133 2.06767i
\(36\) −0.923716 + 1.03888i −0.153953 + 0.173147i
\(37\) −5.42167 8.16581i −0.891317 1.34245i −0.939118 0.343594i \(-0.888356\pi\)
0.0478010 0.998857i \(-0.484779\pi\)
\(38\) 2.83091 + 2.89807i 0.459235 + 0.470130i
\(39\) −0.396396 + 4.21452i −0.0634741 + 0.674863i
\(40\) 2.38393 + 3.41406i 0.376932 + 0.539810i
\(41\) −3.01192 1.18597i −0.470383 0.185218i 0.119291 0.992859i \(-0.461938\pi\)
−0.589674 + 0.807641i \(0.700744\pi\)
\(42\) −3.75605 1.18159i −0.579572 0.182323i
\(43\) −4.08202 + 6.82176i −0.622502 + 1.04031i 0.371232 + 0.928540i \(0.378935\pi\)
−0.993734 + 0.111769i \(0.964348\pi\)
\(44\) 2.87452 + 3.91768i 0.433350 + 0.590612i
\(45\) 5.28076 + 2.37095i 0.787209 + 0.353441i
\(46\) −2.71672 6.05087i −0.400558 0.892152i
\(47\) −2.00749 1.26608i −0.292822 0.184677i 0.378986 0.925403i \(-0.376273\pi\)
−0.671808 + 0.740725i \(0.734482\pi\)
\(48\) 1.26845 + 0.0297439i 0.183085 + 0.00429316i
\(49\) 0.307684 + 2.61273i 0.0439548 + 0.373247i
\(50\) 7.53057 9.77443i 1.06498 1.38231i
\(51\) 0.0326743 + 0.197306i 0.00457532 + 0.0276284i
\(52\) −2.73545 + 1.91007i −0.379338 + 0.264880i
\(53\) −0.340238 + 1.08155i −0.0467353 + 0.148563i −0.974384 0.224892i \(-0.927797\pi\)
0.927648 + 0.373455i \(0.121827\pi\)
\(54\) 4.84557 2.74732i 0.659398 0.373864i
\(55\) 11.9695 16.3132i 1.61397 2.19967i
\(56\) −1.20438 2.86011i −0.160943 0.382198i
\(57\) −2.21475 4.63866i −0.293351 0.614405i
\(58\) 0.819646 4.94948i 0.107625 0.649898i
\(59\) −5.07905 5.44946i −0.661237 0.709460i 0.309151 0.951013i \(-0.399955\pi\)
−0.970388 + 0.241553i \(0.922343\pi\)
\(60\) −1.46685 5.07557i −0.189369 0.655253i
\(61\) 1.96608 9.17909i 0.251730 1.17526i −0.655688 0.755032i \(-0.727621\pi\)
0.907418 0.420230i \(-0.138051\pi\)
\(62\) 8.21096 1.16270i 1.04279 0.147663i
\(63\) −3.47827 2.55212i −0.438221 0.321537i
\(64\) 0.628713 + 0.777638i 0.0785891 + 0.0972047i
\(65\) 11.0051 + 8.47871i 1.36501 + 1.05165i
\(66\) −1.85010 5.88110i −0.227731 0.723914i
\(67\) 8.97398 + 8.36400i 1.09635 + 1.02183i 0.999649 + 0.0265116i \(0.00843988\pi\)
0.0966975 + 0.995314i \(0.469172\pi\)
\(68\) −0.101947 + 0.120218i −0.0123628 + 0.0145785i
\(69\) 0.788053 + 8.37866i 0.0948704 + 1.00867i
\(70\) −9.85569 + 8.35779i −1.17798 + 0.998947i
\(71\) 0.00841757 0.00308860i 0.000998981 0.000366549i −0.343967 0.938982i \(-0.611771\pi\)
0.344966 + 0.938615i \(0.387890\pi\)
\(72\) 1.30507 + 0.478861i 0.153804 + 0.0564343i
\(73\) −3.83019 3.24806i −0.448290 0.380157i 0.394063 0.919083i \(-0.371069\pi\)
−0.842353 + 0.538926i \(0.818830\pi\)
\(74\) −5.61161 + 8.03647i −0.652336 + 0.934220i
\(75\) −13.0426 + 8.65960i −1.50603 + 0.999924i
\(76\) 1.65937 3.69586i 0.190342 0.423944i
\(77\) −11.2692 + 10.0199i −1.28424 + 1.14188i
\(78\) 4.06669 1.17528i 0.460462 0.133075i
\(79\) −3.55032 13.4601i −0.399442 1.51438i −0.801064 0.598578i \(-0.795733\pi\)
0.401622 0.915805i \(-0.368446\pi\)
\(80\) 2.30324 3.46901i 0.257510 0.387847i
\(81\) −2.84622 + 0.540179i −0.316246 + 0.0600199i
\(82\) 3.23700i 0.357467i
\(83\) 0.183595 + 0.967364i 0.0201521 + 0.106182i 0.991103 0.133097i \(-0.0424921\pi\)
−0.970951 + 0.239279i \(0.923089\pi\)
\(84\) 0.276714 + 3.92779i 0.0301920 + 0.428557i
\(85\) 0.604903 + 0.254723i 0.0656110 + 0.0276286i
\(86\) 7.84298 + 1.29882i 0.845731 + 0.140055i
\(87\) −3.00886 + 5.60939i −0.322583 + 0.601390i
\(88\) 2.59210 4.11000i 0.276318 0.438128i
\(89\) 4.94186 1.68292i 0.523836 0.178389i −0.0478610 0.998854i \(-0.515240\pi\)
0.571697 + 0.820465i \(0.306285\pi\)
\(90\) 0.271325 5.78223i 0.0286001 0.609501i
\(91\) −6.69651 7.89667i −0.701985 0.827796i
\(92\) −4.63477 + 4.74473i −0.483208 + 0.494672i
\(93\) −10.3374 1.96193i −1.07194 0.203442i
\(94\) −0.442542 + 2.33177i −0.0456448 + 0.240503i
\(95\) −16.7538 1.97298i −1.71890 0.202424i
\(96\) −0.437059 1.19115i −0.0446071 0.121571i
\(97\) −0.0510617 0.238394i −0.00518453 0.0242052i 0.975154 0.221527i \(-0.0711040\pi\)
−0.980339 + 0.197322i \(0.936776\pi\)
\(98\) 2.31832 1.24354i 0.234186 0.125617i
\(99\) 0.158353 6.75306i 0.0159150 0.678708i
\(100\) −11.8538 3.42578i −1.18538 0.342578i
\(101\) −14.1412 + 6.75177i −1.40710 + 0.671826i −0.973375 0.229220i \(-0.926383\pi\)
−0.433723 + 0.901046i \(0.642800\pi\)
\(102\) 0.171615 0.102691i 0.0169924 0.0101680i
\(103\) 3.47001 2.18847i 0.341910 0.215636i −0.351485 0.936194i \(-0.614323\pi\)
0.693395 + 0.720558i \(0.256114\pi\)
\(104\) 2.77947 + 1.84542i 0.272549 + 0.180959i
\(105\) 15.2558 6.00712i 1.48881 0.586235i
\(106\) 1.13100 0.0796796i 0.109853 0.00773917i
\(107\) 1.70504 + 2.70350i 0.164832 + 0.261357i 0.918093 0.396366i \(-0.129729\pi\)
−0.753260 + 0.657723i \(0.771520\pi\)
\(108\) −4.33161 3.50207i −0.416809 0.336986i
\(109\) −10.0444 2.15142i −0.962079 0.206068i −0.298696 0.954348i \(-0.596552\pi\)
−0.663383 + 0.748280i \(0.730880\pi\)
\(110\) −19.5643 5.16038i −1.86538 0.492023i
\(111\) 10.0269 7.35708i 0.951715 0.698303i
\(112\) −2.21997 + 2.16853i −0.209768 + 0.204906i
\(113\) −1.43799 1.86646i −0.135275 0.175582i 0.719645 0.694342i \(-0.244304\pi\)
−0.854920 + 0.518760i \(0.826394\pi\)
\(114\) −3.50467 + 3.76026i −0.328242 + 0.352181i
\(115\) 24.6379 + 12.4810i 2.29750 + 1.16386i
\(116\) −4.90562 + 1.05074i −0.455475 + 0.0975586i
\(117\) 4.63290 + 0.217393i 0.428311 + 0.0200980i
\(118\) −3.20967 + 6.72246i −0.295474 + 0.618852i
\(119\) −0.401064 0.280050i −0.0367654 0.0256721i
\(120\) −4.18522 + 3.22444i −0.382056 + 0.294350i
\(121\) −12.2661 2.92962i −1.11510 0.266329i
\(122\) −9.26116 + 1.53367i −0.838466 + 0.138852i
\(123\) 1.32398 3.88785i 0.119380 0.350555i
\(124\) −4.09018 7.21402i −0.367309 0.647838i
\(125\) 0.716388 + 30.5509i 0.0640757 + 2.73255i
\(126\) −1.10029 + 4.17146i −0.0980213 + 0.371623i
\(127\) −3.60905 4.05900i −0.320251 0.360178i 0.565164 0.824978i \(-0.308813\pi\)
−0.885416 + 0.464800i \(0.846126\pi\)
\(128\) 0.493217 0.869906i 0.0435946 0.0768896i
\(129\) −8.88869 4.76786i −0.782605 0.419787i
\(130\) 3.85710 13.3463i 0.338290 1.17055i
\(131\) −9.48055 + 4.80262i −0.828319 + 0.419606i −0.814405 0.580297i \(-0.802937\pi\)
−0.0139141 + 0.999903i \(0.504429\pi\)
\(132\) −4.79433 + 3.87617i −0.417293 + 0.337377i
\(133\) 11.9014 + 4.05294i 1.03198 + 0.351435i
\(134\) 4.49453 11.4144i 0.388268 0.986052i
\(135\) −8.49796 + 21.5816i −0.731388 + 1.85745i
\(136\) 0.149209 + 0.0508124i 0.0127946 + 0.00435713i
\(137\) −9.64731 + 7.79976i −0.824225 + 0.666379i −0.945278 0.326267i \(-0.894209\pi\)
0.121052 + 0.992646i \(0.461373\pi\)
\(138\) 7.50732 3.80303i 0.639066 0.323735i
\(139\) −0.0327551 + 0.113339i −0.00277825 + 0.00961327i −0.962062 0.272830i \(-0.912040\pi\)
0.959284 + 0.282443i \(0.0911449\pi\)
\(140\) 11.3876 + 6.10825i 0.962425 + 0.516241i
\(141\) 1.48525 2.61959i 0.125081 0.220610i
\(142\) −0.00595786 0.00670065i −0.000499973 0.000562306i
\(143\) 4.13465 15.6755i 0.345757 1.31085i
\(144\) −0.0325887 1.38977i −0.00271573 0.115814i
\(145\) 10.3035 + 18.1726i 0.855656 + 1.50915i
\(146\) −1.61891 + 4.75388i −0.133982 + 0.393434i
\(147\) −3.29308 + 0.545342i −0.271609 + 0.0449791i
\(148\) 9.53363 + 2.27701i 0.783660 + 0.187169i
\(149\) 1.47514 1.13650i 0.120848 0.0931055i −0.548108 0.836407i \(-0.684652\pi\)
0.668956 + 0.743302i \(0.266741\pi\)
\(150\) 12.8360 + 8.96297i 1.04806 + 0.731824i
\(151\) 4.78899 10.0302i 0.389723 0.816250i −0.609993 0.792407i \(-0.708828\pi\)
0.999716 0.0238428i \(-0.00759013\pi\)
\(152\) −4.04683 0.189893i −0.328241 0.0154023i
\(153\) 0.214262 0.0458928i 0.0173220 0.00371022i
\(154\) 13.4520 + 6.81446i 1.08399 + 0.549125i
\(155\) −23.5439 + 25.2609i −1.89109 + 2.02900i
\(156\) −2.58352 3.35332i −0.206847 0.268480i
\(157\) −12.9426 + 12.6427i −1.03293 + 1.00900i −0.0329796 + 0.999456i \(0.510500\pi\)
−0.999954 + 0.00954071i \(0.996963\pi\)
\(158\) −11.2234 + 8.23497i −0.892888 + 0.655139i
\(159\) −1.39100 0.366897i −0.110313 0.0290969i
\(160\) −4.07165 0.872110i −0.321892 0.0689463i
\(161\) −16.0067 12.9413i −1.26151 1.01992i
\(162\) 1.54542 + 2.45040i 0.121419 + 0.192521i
\(163\) 17.7046 1.24729i 1.38673 0.0976956i 0.642841 0.766000i \(-0.277756\pi\)
0.743888 + 0.668304i \(0.232980\pi\)
\(164\) 3.01192 1.18597i 0.235191 0.0926089i
\(165\) 21.3873 + 14.2000i 1.66500 + 1.10547i
\(166\) 0.832834 0.525251i 0.0646404 0.0407674i
\(167\) 19.7869 11.8401i 1.53115 0.916213i 0.533641 0.845711i \(-0.320823\pi\)
0.997512 0.0705021i \(-0.0224601\pi\)
\(168\) 3.55329 1.69654i 0.274142 0.130891i
\(169\) −1.79548 0.518897i −0.138114 0.0399152i
\(170\) 0.0153865 0.656167i 0.00118009 0.0503257i
\(171\) −4.96299 + 2.66213i −0.379530 + 0.203578i
\(172\) −1.66501 7.77348i −0.126956 0.592723i
\(173\) 3.10672 + 8.46695i 0.236199 + 0.643730i 0.999999 0.00172392i \(-0.000548742\pi\)
−0.763799 + 0.645454i \(0.776668\pi\)
\(174\) 6.32173 + 0.744469i 0.479249 + 0.0564381i
\(175\) 7.13993 37.6204i 0.539728 2.84384i
\(176\) −4.77391 0.906032i −0.359847 0.0682948i
\(177\) 6.60461 6.76130i 0.496433 0.508210i
\(178\) −3.37650 3.98164i −0.253079 0.298437i
\(179\) 0.916444 19.5305i 0.0684982 1.45978i −0.647709 0.761888i \(-0.724273\pi\)
0.716207 0.697887i \(-0.245876\pi\)
\(180\) −5.47958 + 1.86604i −0.408423 + 0.139086i
\(181\) −4.05780 + 6.43401i −0.301614 + 0.478237i −0.962136 0.272570i \(-0.912126\pi\)
0.660522 + 0.750807i \(0.270335\pi\)
\(182\) −4.89411 + 9.12405i −0.362776 + 0.676320i
\(183\) 11.7505 + 1.94592i 0.868625 + 0.143846i
\(184\) 6.11289 + 2.57412i 0.450648 + 0.189767i
\(185\) −2.86830 40.7137i −0.210881 2.99333i
\(186\) 1.96193 + 10.3374i 0.143856 + 0.757978i
\(187\) 0.765915i 0.0560092i
\(188\) 2.33177 0.442542i 0.170062 0.0322757i
\(189\) 9.56161 14.4011i 0.695505 1.04753i
\(190\) 4.30246 + 16.3117i 0.312133 + 1.18337i
\(191\) −17.9596 + 5.19035i −1.29951 + 0.375561i −0.854260 0.519846i \(-0.825989\pi\)
−0.445249 + 0.895407i \(0.646885\pi\)
\(192\) −0.948190 + 0.843080i −0.0684297 + 0.0608441i
\(193\) 10.3871 23.1349i 0.747680 1.66529i 0.00109332 0.999999i \(-0.499652\pi\)
0.746587 0.665288i \(-0.231691\pi\)
\(194\) −0.203109 + 0.134854i −0.0145824 + 0.00968194i
\(195\) −10.0915 + 14.4521i −0.722664 + 1.03494i
\(196\) −2.00646 1.70151i −0.143318 0.121536i
\(197\) −15.9873 5.86611i −1.13905 0.417943i −0.295684 0.955286i \(-0.595547\pi\)
−0.843364 + 0.537343i \(0.819428\pi\)
\(198\) −6.34151 + 2.32684i −0.450671 + 0.165362i
\(199\) −1.49553 + 1.26824i −0.106015 + 0.0899028i −0.698214 0.715889i \(-0.746021\pi\)
0.592198 + 0.805792i \(0.298260\pi\)
\(200\) 1.15543 + 12.2847i 0.0817016 + 0.868660i
\(201\) −10.0669 + 11.8711i −0.710062 + 0.837321i
\(202\) 11.4633 + 10.6841i 0.806557 + 0.751734i
\(203\) −4.67206 14.8516i −0.327915 1.04238i
\(204\) −0.158427 0.122058i −0.0110921 0.00854576i
\(205\) −8.47435 10.4817i −0.591874 0.732073i
\(206\) −3.30763 2.42691i −0.230454 0.169091i
\(207\) 9.12947 1.29277i 0.634542 0.0898534i
\(208\) 0.698760 3.26233i 0.0484503 0.226202i
\(209\) 5.46553 + 18.9117i 0.378059 + 1.30815i
\(210\) −11.1788 11.9941i −0.771412 0.827671i
\(211\) 1.92759 11.6399i 0.132701 0.801323i −0.835192 0.549959i \(-0.814643\pi\)
0.967893 0.251364i \(-0.0808790\pi\)
\(212\) −0.488516 1.02317i −0.0335514 0.0702714i
\(213\) 0.00441511 + 0.0104848i 0.000302518 + 0.000718405i
\(214\) 1.89082 2.57699i 0.129254 0.176159i
\(215\) −28.7965 + 16.3270i −1.96391 + 1.11349i
\(216\) −1.67154 + 5.31350i −0.113734 + 0.361538i
\(217\) 21.1006 14.7339i 1.43240 1.00020i
\(218\) 1.67825 + 10.1342i 0.113665 + 0.686375i
\(219\) 3.88882 5.04756i 0.262782 0.341083i
\(220\) 2.36640 + 20.0945i 0.159543 + 1.35477i
\(221\) 0.525740 + 0.0123281i 0.0353651 + 0.000829277i
\(222\) −10.5192 6.63423i −0.706001 0.445261i
\(223\) 11.3174 + 25.2069i 0.757869 + 1.68798i 0.725223 + 0.688514i \(0.241737\pi\)
0.0326456 + 0.999467i \(0.489607\pi\)
\(224\) 2.83109 + 1.27110i 0.189160 + 0.0849291i
\(225\) 10.1472 + 13.8296i 0.676481 + 0.921974i
\(226\) −1.20983 + 2.02183i −0.0804766 + 0.134490i
\(227\) −5.34115 1.68024i −0.354505 0.111521i 0.117606 0.993060i \(-0.462478\pi\)
−0.472111 + 0.881539i \(0.656508\pi\)
\(228\) 4.78283 + 1.88329i 0.316751 + 0.124724i
\(229\) −14.9014 21.3405i −0.984713 1.41022i −0.910749 0.412960i \(-0.864495\pi\)
−0.0739635 0.997261i \(-0.523565\pi\)
\(230\) 2.58627 27.4975i 0.170534 1.81313i
\(231\) −13.3695 13.6867i −0.879648 0.900517i
\(232\) 2.77500 + 4.17954i 0.182187 + 0.274400i
\(233\) −11.0350 + 12.4108i −0.722929 + 0.813059i −0.988530 0.151024i \(-0.951743\pi\)
0.265601 + 0.964083i \(0.414430\pi\)
\(234\) −1.49512 4.39040i −0.0977393 0.287009i
\(235\) −4.67149 8.70902i −0.304734 0.568114i
\(236\) 7.43097 + 0.523515i 0.483715 + 0.0340779i
\(237\) 16.8483 5.30018i 1.09441 0.344284i
\(238\) −0.113635 + 0.475781i −0.00736587 + 0.0308403i
\(239\) −5.83231 0.548556i −0.377261 0.0354832i −0.0966849 0.995315i \(-0.530824\pi\)
−0.280576 + 0.959832i \(0.590525\pi\)
\(240\) 4.53361 + 2.71283i 0.292643 + 0.175112i
\(241\) 23.1660 0.543220i 1.49225 0.0349919i 0.730524 0.682887i \(-0.239276\pi\)
0.761730 + 0.647895i \(0.224350\pi\)
\(242\) 1.76813 + 12.4865i 0.113660 + 0.802663i
\(243\) 3.02808 + 12.6783i 0.194251 + 0.813314i
\(244\) 4.82013 + 8.05528i 0.308577 + 0.515686i
\(245\) −4.25138 + 10.0960i −0.271611 + 0.645008i
\(246\) −4.10259 + 0.192509i −0.261571 + 0.0122739i
\(247\) −13.0694 + 3.44726i −0.831586 + 0.219344i
\(248\) −5.21383 + 6.44885i −0.331079 + 0.409502i
\(249\) −1.21512 + 0.290219i −0.0770052 + 0.0183919i
\(250\) 28.1641 11.8598i 1.78125 0.750080i
\(251\) 4.21220 + 8.31504i 0.265872 + 0.524841i 0.985533 0.169485i \(-0.0542103\pi\)
−0.719661 + 0.694325i \(0.755703\pi\)
\(252\) 4.28452 0.504560i 0.269899 0.0317843i
\(253\) 2.26496 32.1497i 0.142397 2.02124i
\(254\) −2.45448 + 4.84523i −0.154008 + 0.304017i
\(255\) −0.286862 + 0.781805i −0.0179640 + 0.0489585i
\(256\) −0.990123 0.140205i −0.0618827 0.00876280i
\(257\) −11.9147 11.6386i −0.743220 0.725997i 0.225475 0.974249i \(-0.427607\pi\)
−0.968695 + 0.248252i \(0.920144\pi\)
\(258\) −1.17969 + 10.0175i −0.0734444 + 0.623660i
\(259\) −4.26480 + 30.1179i −0.265002 + 1.87144i
\(260\) −13.8314 + 1.30091i −0.857788 + 0.0806790i
\(261\) 6.29366 + 3.00494i 0.389568 + 0.186001i
\(262\) 7.94215 + 7.06174i 0.490668 + 0.436276i
\(263\) −20.7245 + 9.30489i −1.27793 + 0.573764i −0.931305 0.364240i \(-0.881329\pi\)
−0.346625 + 0.938004i \(0.612672\pi\)
\(264\) 5.36319 + 3.04080i 0.330081 + 0.187148i
\(265\) −3.45369 + 3.21893i −0.212158 + 0.197738i
\(266\) −0.589304 12.5587i −0.0361325 0.770025i
\(267\) 2.42684 + 6.16325i 0.148520 + 0.377185i
\(268\) −12.2674 −0.749350
\(269\) 16.2600 + 2.14798i 0.991387 + 0.130965i
\(270\) 23.1944 1.41157
\(271\) −0.514371 1.30631i −0.0312458 0.0793525i 0.913996 0.405723i \(-0.132980\pi\)
−0.945242 + 0.326371i \(0.894174\pi\)
\(272\) −0.00738820 0.157451i −0.000447975 0.00954686i
\(273\) 9.61002 8.95681i 0.581625 0.542091i
\(274\) 10.7920 + 6.11881i 0.651968 + 0.369651i
\(275\) 54.6963 24.5575i 3.29831 1.48088i
\(276\) −6.28912 5.59195i −0.378560 0.336596i
\(277\) 6.77264 + 3.23363i 0.406928 + 0.194290i 0.623234 0.782036i \(-0.285819\pi\)
−0.216305 + 0.976326i \(0.569401\pi\)
\(278\) 0.117459 0.0110475i 0.00704470 0.000662588i
\(279\) −1.61633 + 11.4145i −0.0967672 + 0.683367i
\(280\) 1.51134 12.8337i 0.0903198 0.766959i
\(281\) −20.0042 19.5406i −1.19335 1.16570i −0.982119 0.188262i \(-0.939715\pi\)
−0.211233 0.977436i \(-0.567748\pi\)
\(282\) −2.98161 0.422206i −0.177552 0.0251420i
\(283\) 6.63195 18.0745i 0.394228 1.07442i −0.572788 0.819703i \(-0.694138\pi\)
0.967017 0.254714i \(-0.0819812\pi\)
\(284\) −0.00405188 + 0.00799857i −0.000240435 + 0.000474628i
\(285\) 1.50420 21.3511i 0.0891009 1.26473i
\(286\) −16.1003 + 1.89603i −0.952033 + 0.112115i
\(287\) 4.53959 + 8.96132i 0.267963 + 0.528970i
\(288\) −1.28119 + 0.539506i −0.0754950 + 0.0317907i
\(289\) −16.5108 + 3.94342i −0.971221 + 0.231966i
\(290\) 13.1340 16.2451i 0.771256 0.953945i
\(291\) 0.299104 0.0788934i 0.0175338 0.00462481i
\(292\) 5.01646 0.235391i 0.293566 0.0137752i
\(293\) −11.3833 + 27.0325i −0.665021 + 1.57926i 0.142749 + 0.989759i \(0.454406\pi\)
−0.807770 + 0.589498i \(0.799325\pi\)
\(294\) 1.71394 + 2.86430i 0.0999591 + 0.167049i
\(295\) −7.20595 30.1707i −0.419547 1.75661i
\(296\) −1.37426 9.70497i −0.0798771 0.564090i
\(297\) 27.0589 0.634505i 1.57012 0.0368177i
\(298\) −1.59793 0.956173i −0.0925657 0.0553896i
\(299\) 22.0318 + 2.07219i 1.27413 + 0.119838i
\(300\) 3.63688 15.2273i 0.209975 0.879149i
\(301\) 23.5340 7.40339i 1.35648 0.426724i
\(302\) −11.0874 0.781110i −0.638007 0.0449478i
\(303\) −9.39821 17.5210i −0.539913 1.00656i
\(304\) 1.30599 + 3.83501i 0.0749036 + 0.219953i
\(305\) 25.9733 29.2115i 1.48723 1.67265i
\(306\) −0.121203 0.182549i −0.00692871 0.0104356i
\(307\) −0.585808 0.599706i −0.0334338 0.0342270i 0.698425 0.715683i \(-0.253884\pi\)
−0.731859 + 0.681456i \(0.761347\pi\)
\(308\) 1.41207 15.0133i 0.0804603 0.855462i
\(309\) 2.98004 + 4.26775i 0.169528 + 0.242784i
\(310\) 32.1304 + 12.6517i 1.82488 + 0.718566i
\(311\) 8.32087 + 2.61760i 0.471833 + 0.148431i 0.526679 0.850064i \(-0.323437\pi\)
−0.0548461 + 0.998495i \(0.517467\pi\)
\(312\) −2.17360 + 3.63246i −0.123056 + 0.205648i
\(313\) 5.73818 + 7.82055i 0.324341 + 0.442043i 0.937536 0.347888i \(-0.113101\pi\)
−0.613195 + 0.789932i \(0.710116\pi\)
\(314\) 16.5055 + 7.41063i 0.931460 + 0.418206i
\(315\) −7.35790 16.3880i −0.414571 0.923362i
\(316\) 11.7744 + 7.42587i 0.662362 + 0.417738i
\(317\) 16.3784 + 0.384057i 0.919901 + 0.0215708i 0.480765 0.876850i \(-0.340359\pi\)
0.439136 + 0.898420i \(0.355285\pi\)
\(318\) 0.168249 + 1.42870i 0.00943492 + 0.0801175i
\(319\) 14.8779 19.3111i 0.833005 1.08121i
\(320\) 0.680304 + 4.10805i 0.0380301 + 0.229647i
\(321\) −3.32502 + 2.32175i −0.185584 + 0.129588i
\(322\) −6.17688 + 19.6351i −0.344224 + 1.09422i
\(323\) −0.555505 + 0.314958i −0.0309091 + 0.0175247i
\(324\) 1.71380 2.33573i 0.0952110 0.129763i
\(325\) 15.9764 + 37.9400i 0.886213 + 2.10453i
\(326\) −7.64716 16.0165i −0.423537 0.887072i
\(327\) 2.12936 12.8583i 0.117754 0.711063i
\(328\) −2.20701 2.36797i −0.121862 0.130749i
\(329\) 2.04495 + 7.07589i 0.112742 + 0.390106i
\(330\) 5.37677 25.1027i 0.295982 1.38186i
\(331\) −21.3225 + 3.01935i −1.17199 + 0.165958i −0.699009 0.715113i \(-0.746375\pi\)
−0.472984 + 0.881071i \(0.656823\pi\)
\(332\) −0.793862 0.582481i −0.0435688 0.0319678i
\(333\) −8.56682 10.5961i −0.469459 0.580661i
\(334\) −18.2663 14.0730i −0.999487 0.770041i
\(335\) 15.3288 + 48.7272i 0.837499 + 2.66225i
\(336\) −2.88042 2.68463i −0.157140 0.146459i
\(337\) 8.44529 9.95887i 0.460044 0.542494i −0.482799 0.875731i \(-0.660380\pi\)
0.942843 + 0.333237i \(0.108141\pi\)
\(338\) 0.175012 + 1.86074i 0.00951939 + 0.101211i
\(339\) 2.28004 1.93351i 0.123835 0.105014i
\(340\) −0.616178 + 0.226090i −0.0334169 + 0.0122614i
\(341\) 37.8299 + 13.8807i 2.04860 + 0.751680i
\(342\) 4.29536 + 3.64254i 0.232267 + 0.196966i
\(343\) −7.76277 + 11.1172i −0.419150 + 0.600271i
\(344\) −6.62293 + 4.39728i −0.357085 + 0.237086i
\(345\) −14.3532 + 31.9684i −0.772748 + 1.72112i
\(346\) 6.73996 5.99282i 0.362343 0.322176i
\(347\) −8.99519 + 2.59963i −0.482887 + 0.139555i −0.510172 0.860072i \(-0.670418\pi\)
0.0272850 + 0.999628i \(0.491314\pi\)
\(348\) −1.62345 6.15491i −0.0870262 0.329938i
\(349\) −13.6191 + 20.5123i −0.729013 + 1.09800i 0.262109 + 0.965038i \(0.415582\pi\)
−0.991122 + 0.132958i \(0.957552\pi\)
\(350\) −37.6204 + 7.13993i −2.01090 + 0.381645i
\(351\) 18.5840i 0.991942i
\(352\) 0.906032 + 4.77391i 0.0482917 + 0.254450i
\(353\) −1.09691 15.5699i −0.0583825 0.828704i −0.936591 0.350425i \(-0.886037\pi\)
0.878208 0.478279i \(-0.158739\pi\)
\(354\) −8.71095 3.66816i −0.462982 0.194960i
\(355\) 0.0368341 + 0.00609982i 0.00195495 + 0.000323745i
\(356\) −2.46770 + 4.60051i −0.130788 + 0.243826i
\(357\) 0.331085 0.524965i 0.0175229 0.0277841i
\(358\) −18.5082 + 6.30285i −0.978188 + 0.333116i
\(359\) −0.923274 + 19.6760i −0.0487285 + 1.03846i 0.828984 + 0.559272i \(0.188919\pi\)
−0.877713 + 0.479187i \(0.840931\pi\)
\(360\) 3.74389 + 4.41488i 0.197320 + 0.232684i
\(361\) −1.80779 + 1.85068i −0.0951468 + 0.0974041i
\(362\) 7.47333 + 1.41835i 0.392789 + 0.0745469i
\(363\) 2.98353 15.7203i 0.156595 0.825101i
\(364\) 10.2827 + 1.21093i 0.538961 + 0.0634699i
\(365\) −7.20333 19.6317i −0.377039 1.02757i
\(366\) −2.49455 11.6464i −0.130392 0.608768i
\(367\) −7.54186 + 4.04543i −0.393682 + 0.211170i −0.657586 0.753379i \(-0.728422\pi\)
0.263904 + 0.964549i \(0.414990\pi\)
\(368\) 0.155489 6.63094i 0.00810542 0.345662i
\(369\) −4.32301 1.24936i −0.225047 0.0650390i
\(370\) −36.8318 + 17.5856i −1.91480 + 0.914229i
\(371\) 3.01933 1.80671i 0.156756 0.0937997i
\(372\) 8.89982 5.61294i 0.461434 0.291017i
\(373\) 24.9585 + 16.5712i 1.29230 + 0.858022i 0.995299 0.0968538i \(-0.0308779\pi\)
0.297005 + 0.954876i \(0.404012\pi\)
\(374\) −0.712657 + 0.280616i −0.0368506 + 0.0145103i
\(375\) −38.6777 + 2.72486i −1.99731 + 0.140711i
\(376\) −1.26608 2.00749i −0.0652932 0.103528i
\(377\) 13.0161 + 10.5234i 0.670361 + 0.541981i
\(378\) −16.9029 3.62045i −0.869394 0.186216i
\(379\) −23.1036 6.09392i −1.18675 0.313024i −0.392003 0.919964i \(-0.628218\pi\)
−0.794747 + 0.606940i \(0.792397\pi\)
\(380\) 13.6011 9.97956i 0.697722 0.511941i
\(381\) 4.92976 4.81552i 0.252559 0.246706i
\(382\) 11.4095 + 14.8091i 0.583759 + 0.757700i
\(383\) 13.7337 14.7353i 0.701761 0.752940i −0.276342 0.961059i \(-0.589122\pi\)
0.978103 + 0.208120i \(0.0667343\pi\)
\(384\) 1.13185 + 0.573370i 0.0577597 + 0.0292597i
\(385\) −61.3987 + 13.1510i −3.12917 + 0.670239i
\(386\) −25.3319 1.18867i −1.28936 0.0605016i
\(387\) −4.76166 + 9.97300i −0.242049 + 0.506956i
\(388\) 0.199892 + 0.139578i 0.0101480 + 0.00708601i
\(389\) 3.50736 2.70220i 0.177830 0.137007i −0.517538 0.855660i \(-0.673152\pi\)
0.695369 + 0.718653i \(0.255241\pi\)
\(390\) 17.1445 + 4.09478i 0.868146 + 0.207347i
\(391\) 1.03144 0.170808i 0.0521619 0.00863814i
\(392\) −0.848070 + 2.49034i −0.0428340 + 0.125781i
\(393\) −6.65067 11.7301i −0.335482 0.591703i
\(394\) 0.399216 + 17.0248i 0.0201122 + 0.857699i
\(395\) 14.7835 56.0480i 0.743841 2.82008i
\(396\) 4.48845 + 5.04804i 0.225553 + 0.253674i
\(397\) −11.1931 + 19.7418i −0.561768 + 0.990812i 0.434176 + 0.900828i \(0.357040\pi\)
−0.995943 + 0.0899839i \(0.971318\pi\)
\(398\) 1.72798 + 0.926883i 0.0866159 + 0.0464605i
\(399\) −4.42892 + 15.3249i −0.221723 + 0.767203i
\(400\) 11.0072 5.57596i 0.550358 0.278798i
\(401\) −1.55888 + 1.26034i −0.0778470 + 0.0629386i −0.666848 0.745194i \(-0.732357\pi\)
0.589001 + 0.808132i \(0.299521\pi\)
\(402\) 14.7339 + 5.01755i 0.734861 + 0.250253i
\(403\) −10.1369 + 25.7438i −0.504954 + 1.28239i
\(404\) 5.74129 14.5807i 0.285640 0.725416i
\(405\) −11.4192 3.88875i −0.567426 0.193234i
\(406\) −12.1072 + 9.78853i −0.600868 + 0.485796i
\(407\) −42.4875 + 21.5231i −2.10603 + 1.06686i
\(408\) −0.0555261 + 0.192130i −0.00274895 + 0.00951187i
\(409\) −4.47480 2.40027i −0.221265 0.118686i 0.358316 0.933600i \(-0.383351\pi\)
−0.579581 + 0.814915i \(0.696784\pi\)
\(410\) −6.64801 + 11.7254i −0.328322 + 0.579075i
\(411\) −10.4592 11.7632i −0.515914 0.580235i
\(412\) −1.04631 + 3.96681i −0.0515479 + 0.195431i
\(413\) 0.541947 + 23.1117i 0.0266675 + 1.13725i
\(414\) −4.54773 8.02101i −0.223509 0.394211i
\(415\) −1.32170 + 3.88114i −0.0648796 + 0.190517i
\(416\) −3.29149 + 0.545079i −0.161379 + 0.0267247i
\(417\) −0.145594 0.0347736i −0.00712977 0.00170287i
\(418\) 15.5943 12.0144i 0.762740 0.587642i
\(419\) 22.0489 + 15.3961i 1.07716 + 0.752147i 0.970246 0.242121i \(-0.0778431\pi\)
0.106915 + 0.994268i \(0.465903\pi\)
\(420\) −7.06438 + 14.7959i −0.344707 + 0.721966i
\(421\) −0.438703 0.0205856i −0.0213811 0.00100328i 0.0361790 0.999345i \(-0.488481\pi\)
−0.0575601 + 0.998342i \(0.518332\pi\)
\(422\) −11.5367 + 2.47106i −0.561600 + 0.120289i
\(423\) −2.94327 1.49099i −0.143106 0.0724943i
\(424\) −0.773039 + 0.829415i −0.0375421 + 0.0402800i
\(425\) 1.18700 + 1.54069i 0.0575779 + 0.0747342i
\(426\) 0.00813811 0.00794951i 0.000394293 0.000385155i
\(427\) −23.4878 + 17.2337i −1.13665 + 0.833997i
\(428\) −3.09055 0.815182i −0.149388 0.0394033i
\(429\) 20.1130 + 4.30803i 0.971067 + 0.207994i
\(430\) 25.7421 + 20.8123i 1.24140 + 1.00366i
\(431\) −6.91443 10.9634i −0.333056 0.528091i 0.637034 0.770836i \(-0.280161\pi\)
−0.970090 + 0.242745i \(0.921952\pi\)
\(432\) 5.55644 0.391454i 0.267335 0.0188338i
\(433\) 17.8746 7.03831i 0.858999 0.338240i 0.104488 0.994526i \(-0.466680\pi\)
0.754512 + 0.656287i \(0.227874\pi\)
\(434\) −21.4402 14.2352i −1.02916 0.683312i
\(435\) −22.4193 + 14.1394i −1.07492 + 0.677932i
\(436\) 8.81465 5.27452i 0.422145 0.252604i
\(437\) −24.2490 + 11.5778i −1.15999 + 0.553842i
\(438\) −6.12137 1.76909i −0.292490 0.0845303i
\(439\) −0.187818 + 8.00963i −0.00896406 + 0.382279i 0.976801 + 0.214150i \(0.0686980\pi\)
−0.985765 + 0.168129i \(0.946227\pi\)
\(440\) 17.8303 9.56410i 0.850025 0.455950i
\(441\) 0.765962 + 3.57607i 0.0364744 + 0.170289i
\(442\) −0.181150 0.493700i −0.00861642 0.0234829i
\(443\) 14.1276 + 1.66372i 0.671223 + 0.0790456i 0.445687 0.895189i \(-0.352960\pi\)
0.225537 + 0.974235i \(0.427586\pi\)
\(444\) −2.31891 + 12.2184i −0.110050 + 0.579859i
\(445\) 21.3572 + 4.05335i 1.01243 + 0.192147i
\(446\) 19.3077 19.7658i 0.914246 0.935936i
\(447\) 1.52813 + 1.80200i 0.0722780 + 0.0852318i
\(448\) 0.145461 3.09994i 0.00687239 0.146458i
\(449\) −10.6317 + 3.62056i −0.501740 + 0.170865i −0.561708 0.827336i \(-0.689855\pi\)
0.0599676 + 0.998200i \(0.480900\pi\)
\(450\) 9.15024 14.5085i 0.431346 0.683939i
\(451\) −7.43491 + 13.8609i −0.350096 + 0.652682i
\(452\) 2.32450 + 0.384943i 0.109335 + 0.0181062i
\(453\) 12.9972 + 5.47307i 0.610660 + 0.257147i
\(454\) 0.393491 + 5.58536i 0.0184674 + 0.262134i
\(455\) −8.03888 42.3571i −0.376869 1.98573i
\(456\) 5.14026i 0.240715i
\(457\) 37.3690 7.09220i 1.74805 0.331759i 0.788868 0.614563i \(-0.210667\pi\)
0.959178 + 0.282804i \(0.0912645\pi\)
\(458\) −14.3970 + 21.6840i −0.672729 + 1.01323i
\(459\) 0.223928 + 0.848964i 0.0104520 + 0.0396263i
\(460\) −26.5330 + 7.66809i −1.23711 + 0.357527i
\(461\) −8.27084 + 7.35399i −0.385211 + 0.342509i −0.834629 0.550812i \(-0.814318\pi\)
0.449418 + 0.893322i \(0.351631\pi\)
\(462\) −7.83666 + 17.4544i −0.364594 + 0.812051i
\(463\) −23.6133 + 15.6780i −1.09740 + 0.728618i −0.964914 0.262567i \(-0.915431\pi\)
−0.132488 + 0.991185i \(0.542297\pi\)
\(464\) 2.87221 4.11334i 0.133339 0.190957i
\(465\) −33.4159 28.3373i −1.54963 1.31411i
\(466\) 15.5908 + 5.72064i 0.722232 + 0.265003i
\(467\) 21.8655 8.02295i 1.01181 0.371258i 0.215736 0.976452i \(-0.430785\pi\)
0.796078 + 0.605194i \(0.206904\pi\)
\(468\) −3.53733 + 2.99971i −0.163513 + 0.138662i
\(469\) −3.56493 37.9027i −0.164613 1.75018i
\(470\) −6.39190 + 7.53747i −0.294836 + 0.347677i
\(471\) −16.7931 15.6517i −0.773786 0.721190i
\(472\) −2.23545 7.10607i −0.102895 0.327083i
\(473\) 30.6005 + 23.5757i 1.40701 + 1.08401i
\(474\) −11.1045 13.7349i −0.510047 0.630863i
\(475\) −40.3033 29.5718i −1.84924 1.35685i
\(476\) 0.484331 0.0685830i 0.0221993 0.00314350i
\(477\) −0.330112 + 1.54121i −0.0151148 + 0.0705670i
\(478\) 1.62643 + 5.62774i 0.0743911 + 0.257407i
\(479\) 11.1406 + 11.9530i 0.509026 + 0.546148i 0.933165 0.359449i \(-0.117035\pi\)
−0.424139 + 0.905597i \(0.639423\pi\)
\(480\) 0.863168 5.21229i 0.0393981 0.237907i
\(481\) −14.0901 29.5108i −0.642452 1.34557i
\(482\) −8.99301 21.3561i −0.409620 0.972746i
\(483\) 15.4499 21.0566i 0.702994 0.958109i
\(484\) 10.9705 6.21999i 0.498657 0.282727i
\(485\) 0.304642 0.968400i 0.0138331 0.0439728i
\(486\) 10.6873 7.46260i 0.484786 0.338511i
\(487\) −2.21732 13.3894i −0.100476 0.606731i −0.989002 0.147904i \(-0.952747\pi\)
0.888525 0.458827i \(-0.151730\pi\)
\(488\) 5.72916 7.43626i 0.259347 0.336624i
\(489\) 2.63374 + 22.3647i 0.119102 + 1.01136i
\(490\) 10.9516 + 0.256804i 0.494742 + 0.0116012i
\(491\) −5.68338 3.58440i −0.256487 0.161761i 0.399038 0.916934i \(-0.369344\pi\)
−0.655526 + 0.755173i \(0.727553\pi\)
\(492\) 1.68223 + 3.74678i 0.0758408 + 0.168918i
\(493\) 0.721406 + 0.323897i 0.0324905 + 0.0145876i
\(494\) 7.99592 + 10.8976i 0.359753 + 0.490307i
\(495\) 14.4427 24.1363i 0.649153 1.08485i
\(496\) 7.91067 + 2.48856i 0.355200 + 0.111740i
\(497\) −0.0258908 0.0101948i −0.00116136 0.000457297i
\(498\) 0.715235 + 1.02430i 0.0320505 + 0.0458999i
\(499\) −2.32598 + 24.7301i −0.104125 + 1.10707i 0.775482 + 0.631369i \(0.217507\pi\)
−0.879608 + 0.475700i \(0.842195\pi\)
\(500\) −21.3539 21.8605i −0.954975 0.977631i
\(501\) 16.1829 + 24.3738i 0.722999 + 1.08894i
\(502\) 6.19359 6.96577i 0.276434 0.310898i
\(503\) 4.80970 + 14.1236i 0.214454 + 0.629740i 0.999941 + 0.0108615i \(0.00345738\pi\)
−0.785487 + 0.618878i \(0.787587\pi\)
\(504\) −2.03924 3.80174i −0.0908349 0.169343i
\(505\) −65.0899 4.58561i −2.89646 0.204057i
\(506\) −30.7440 + 9.67155i −1.36674 + 0.429953i
\(507\) 0.550872 2.30646i 0.0244651 0.102433i
\(508\) 5.40759 + 0.508610i 0.239923 + 0.0225659i
\(509\) −18.5452 11.0971i −0.822002 0.491871i 0.0397447 0.999210i \(-0.487346\pi\)
−0.861746 + 0.507339i \(0.830629\pi\)
\(510\) 0.832543 0.0195223i 0.0368656 0.000864463i
\(511\) 2.18509 + 15.4310i 0.0966625 + 0.682628i
\(512\) 0.232305 + 0.972643i 0.0102665 + 0.0429851i
\(513\) −11.5873 19.3644i −0.511593 0.854961i
\(514\) −6.46401 + 15.3504i −0.285115 + 0.677077i
\(515\) 17.0640 0.800707i 0.751928 0.0352834i
\(516\) 9.75312 2.57254i 0.429357 0.113250i
\(517\) −7.25069 + 8.96818i −0.318885 + 0.394420i
\(518\) 29.5862 7.06635i 1.29994 0.310478i
\(519\) −10.5463 + 4.44101i −0.462930 + 0.194939i
\(520\) 6.27800 + 12.3930i 0.275309 + 0.543470i
\(521\) −3.93587 + 0.463501i −0.172433 + 0.0203064i −0.202730 0.979235i \(-0.564982\pi\)
0.0302971 + 0.999541i \(0.490355\pi\)
\(522\) 0.490122 6.95699i 0.0214521 0.304499i
\(523\) 4.83004 9.53468i 0.211203 0.416922i −0.761768 0.647850i \(-0.775668\pi\)
0.972971 + 0.230927i \(0.0741759\pi\)
\(524\) 3.66086 9.97717i 0.159925 0.435855i
\(525\) 48.1049 + 6.81183i 2.09947 + 0.297292i
\(526\) 16.2509 + 15.8743i 0.708575 + 0.692154i
\(527\) −0.152879 + 1.29818i −0.00665951 + 0.0565498i
\(528\) 0.864397 6.10435i 0.0376181 0.265658i
\(529\) 20.9013 1.96586i 0.908751 0.0854724i
\(530\) 4.26047 + 2.03418i 0.185063 + 0.0883593i
\(531\) −7.73902 6.88112i −0.335845 0.298615i
\(532\) −11.4696 + 5.14960i −0.497268 + 0.223263i
\(533\) −9.39471 5.32658i −0.406930 0.230720i
\(534\) 4.84554 4.51618i 0.209687 0.195434i
\(535\) 0.623833 + 13.2946i 0.0269707 + 0.574775i
\(536\) 4.49453 + 11.4144i 0.194134 + 0.493026i
\(537\) 24.8075 1.07052
\(538\) −3.95870 15.9163i −0.170672 0.686201i
\(539\) 12.7833 0.550615
\(540\) −8.49796 21.5816i −0.365694 0.928723i
\(541\) −1.28646 27.4160i −0.0553094 1.17871i −0.834169 0.551508i \(-0.814053\pi\)
0.778860 0.627198i \(-0.215798\pi\)
\(542\) −1.02702 + 0.957209i −0.0441142 + 0.0411157i
\(543\) −8.39582 4.76023i −0.360299 0.204281i
\(544\) −0.143796 + 0.0645613i −0.00616519 + 0.00276804i
\(545\) −31.9653 28.4218i −1.36924 1.21746i
\(546\) −11.8549 5.66019i −0.507344 0.242234i
\(547\) 23.1880 2.18094i 0.991448 0.0932504i 0.414515 0.910042i \(-0.363951\pi\)
0.576932 + 0.816792i \(0.304250\pi\)
\(548\) 1.73937 12.2834i 0.0743022 0.524720i
\(549\) 1.52624 12.9602i 0.0651382 0.553128i
\(550\) −42.8896 41.8956i −1.82882 1.78644i
\(551\) −20.1241 2.84964i −0.857314 0.121399i
\(552\) −2.89891 + 7.90058i −0.123386 + 0.336271i
\(553\) −19.5222 + 38.5375i −0.830167 + 1.63878i
\(554\) 0.527423 7.48644i 0.0224080 0.318068i
\(555\) 51.4302 6.05660i 2.18309 0.257088i
\(556\) −0.0533138 0.105244i −0.00226101 0.00446332i
\(557\) 4.34825 1.83103i 0.184241 0.0775834i −0.294028 0.955797i \(-0.594996\pi\)
0.478269 + 0.878213i \(0.341264\pi\)
\(558\) 11.2130 2.67810i 0.474683 0.113373i
\(559\) −16.6754 + 20.6254i −0.705295 + 0.872359i
\(560\) −12.4950 + 3.29575i −0.528011 + 0.139271i
\(561\) 0.970723 0.0455500i 0.0409840 0.00192312i
\(562\) −10.8527 + 25.7725i −0.457795 + 1.08715i
\(563\) 7.06892 + 11.8134i 0.297919 + 0.497875i 0.970163 0.242455i \(-0.0779527\pi\)
−0.672243 + 0.740330i \(0.734669\pi\)
\(564\) 0.699553 + 2.92897i 0.0294565 + 0.123332i
\(565\) −1.37556 9.71415i −0.0578702 0.408678i
\(566\) −19.2475 + 0.451335i −0.809033 + 0.0189710i
\(567\) 7.71478 + 4.61638i 0.323990 + 0.193870i
\(568\) 0.00892692 0.000839620i 0.000374565 3.52297e-5i
\(569\) −6.17592 + 25.8580i −0.258908 + 1.08403i 0.678170 + 0.734905i \(0.262773\pi\)
−0.937078 + 0.349120i \(0.886480\pi\)
\(570\) −20.4176 + 6.42303i −0.855199 + 0.269031i
\(571\) −23.0815 1.62610i −0.965933 0.0680503i −0.421476 0.906839i \(-0.638488\pi\)
−0.544456 + 0.838789i \(0.683264\pi\)
\(572\) 7.66304 + 14.2861i 0.320408 + 0.597333i
\(573\) −7.64635 22.4533i −0.319431 0.938002i
\(574\) 6.67498 7.50718i 0.278608 0.313344i
\(575\) 45.2689 + 68.1814i 1.88784 + 2.84336i
\(576\) 0.971395 + 0.994441i 0.0404748 + 0.0414350i
\(577\) 3.73015 39.6594i 0.155288 1.65104i −0.478905 0.877867i \(-0.658966\pi\)
0.634193 0.773175i \(-0.281332\pi\)
\(578\) 9.71843 + 13.9179i 0.404233 + 0.578908i
\(579\) 29.9390 + 11.7888i 1.24422 + 0.489925i
\(580\) −19.9275 6.26887i −0.827446 0.260300i
\(581\) 1.56900 2.62208i 0.0650932 0.108782i
\(582\) −0.182993 0.249401i −0.00758532 0.0103380i
\(583\) 5.02597 + 2.25656i 0.208155 + 0.0934571i
\(584\) −2.05695 4.58140i −0.0851173 0.189580i
\(585\) 16.3352 + 10.3023i 0.675379 + 0.425948i
\(586\) 29.3235 + 0.687606i 1.21134 + 0.0284048i
\(587\) 1.17707 + 9.99519i 0.0485828 + 0.412546i 0.995771 + 0.0918680i \(0.0292838\pi\)
−0.947188 + 0.320678i \(0.896089\pi\)
\(588\) 2.03717 2.64418i 0.0840116 0.109044i
\(589\) −5.48895 33.1453i −0.226168 1.36573i
\(590\) −25.4327 + 17.7588i −1.04705 + 0.731119i
\(591\) 6.48394 20.6112i 0.266714 0.847832i
\(592\) −8.52663 + 4.83441i −0.350442 + 0.198693i
\(593\) 4.25065 5.79320i 0.174553 0.237898i −0.710153 0.704048i \(-0.751374\pi\)
0.884706 + 0.466150i \(0.154359\pi\)
\(594\) −10.5042 24.9449i −0.430994 1.02350i
\(595\) −0.877616 1.83811i −0.0359787 0.0753552i
\(596\) −0.304235 + 1.83714i −0.0124620 + 0.0752523i
\(597\) −1.69631 1.82002i −0.0694252 0.0744883i
\(598\) −6.14390 21.2590i −0.251243 0.869346i
\(599\) −2.88752 + 13.4811i −0.117981 + 0.550822i 0.879244 + 0.476372i \(0.158048\pi\)
−0.997225 + 0.0744500i \(0.976280\pi\)
\(600\) −15.5010 + 2.19499i −0.632824 + 0.0896101i
\(601\) 15.1518 + 11.1173i 0.618054 + 0.453485i 0.855420 0.517935i \(-0.173299\pi\)
−0.237366 + 0.971420i \(0.576284\pi\)
\(602\) −15.5110 19.1851i −0.632180 0.781926i
\(603\) 13.5092 + 10.4079i 0.550136 + 0.423844i
\(604\) 3.33540 + 10.6026i 0.135716 + 0.431414i
\(605\) −38.4146 35.8035i −1.56177 1.45562i
\(606\) −12.8594 + 15.1641i −0.522377 + 0.615998i
\(607\) 0.418045 + 4.44470i 0.0169679 + 0.180405i 0.999995 0.00305402i \(-0.000972125\pi\)
−0.983027 + 0.183459i \(0.941271\pi\)
\(608\) 3.08985 2.62025i 0.125310 0.106265i
\(609\) 18.5451 6.80464i 0.751486 0.275738i
\(610\) −36.6964 13.4648i −1.48579 0.545172i
\(611\) −6.03924 5.12138i −0.244322 0.207189i
\(612\) −0.125449 + 0.179657i −0.00507097 + 0.00726221i
\(613\) 8.97643 5.95988i 0.362555 0.240717i −0.358600 0.933491i \(-0.616746\pi\)
0.721155 + 0.692774i \(0.243612\pi\)
\(614\) −0.343377 + 0.764794i −0.0138576 + 0.0308646i
\(615\) 12.7805 11.3638i 0.515361 0.458232i
\(616\) −14.4867 + 4.18669i −0.583686 + 0.168686i
\(617\) 9.61678 + 36.4596i 0.387157 + 1.46781i 0.823133 + 0.567849i \(0.192224\pi\)
−0.435976 + 0.899958i \(0.643597\pi\)
\(618\) 2.87917 4.33644i 0.115817 0.174437i
\(619\) 22.0361 4.18219i 0.885704 0.168096i 0.276409 0.961040i \(-0.410856\pi\)
0.609295 + 0.792944i \(0.291453\pi\)
\(620\) 34.5315i 1.38682i
\(621\) 6.88894 + 36.2980i 0.276443 + 1.45659i
\(622\) −0.613011 8.70131i −0.0245795 0.348891i
\(623\) −14.9314 6.28756i −0.598213 0.251906i
\(624\) 4.17624 + 0.691596i 0.167183 + 0.0276860i
\(625\) −30.9868 + 57.7684i −1.23947 + 2.31074i
\(626\) 5.17439 8.20447i 0.206810 0.327917i
\(627\) −23.6438 + 8.05174i −0.944241 + 0.321556i
\(628\) 0.848050 18.0729i 0.0338409 0.721188i
\(629\) −0.999258 1.17835i −0.0398430 0.0469837i
\(630\) −12.5527 + 12.8505i −0.500112 + 0.511977i
\(631\) 38.3127 + 7.27131i 1.52520 + 0.289466i 0.880159 0.474679i \(-0.157436\pi\)
0.645045 + 0.764145i \(0.276839\pi\)
\(632\) 2.59562 13.6764i 0.103248 0.544016i
\(633\) 14.8671 + 1.75080i 0.590913 + 0.0695880i
\(634\) −5.64336 15.3802i −0.224126 0.610826i
\(635\) −4.73683 22.1150i −0.187975 0.877608i
\(636\) 1.26771 0.679997i 0.0502681 0.0269636i
\(637\) −0.205759 + 8.77472i −0.00815245 + 0.347667i
\(638\) −23.4193 6.76821i −0.927177 0.267956i
\(639\) 0.0112482 0.00537052i 0.000444973 0.000212454i
\(640\) 3.57315 2.13811i 0.141241 0.0845161i
\(641\) 38.2949 24.1518i 1.51256 0.953938i 0.517388 0.855751i \(-0.326905\pi\)
0.995168 0.0981874i \(-0.0313044\pi\)
\(642\) 3.37853 + 2.24317i 0.133340 + 0.0885308i
\(643\) 26.1859 10.3109i 1.03267 0.406624i 0.211542 0.977369i \(-0.432151\pi\)
0.821127 + 0.570745i \(0.193345\pi\)
\(644\) 20.5329 1.44655i 0.809109 0.0570020i
\(645\) −22.4054 35.5258i −0.882212 1.39883i
\(646\) 0.496584 + 0.401483i 0.0195378 + 0.0157961i
\(647\) 2.80042 + 0.599823i 0.110096 + 0.0235815i 0.264156 0.964480i \(-0.414907\pi\)
−0.154060 + 0.988061i \(0.549235\pi\)
\(648\) −2.80122 0.738865i −0.110042 0.0290254i
\(649\) −29.1843 + 21.4134i −1.14558 + 0.840551i
\(650\) 29.4484 28.7660i 1.15506 1.12829i
\(651\) 19.9287 + 25.8668i 0.781067 + 1.01380i
\(652\) −12.1010 + 12.9835i −0.473913 + 0.508475i
\(653\) −33.3405 16.8895i −1.30472 0.660937i −0.344130 0.938922i \(-0.611826\pi\)
−0.960586 + 0.277985i \(0.910334\pi\)
\(654\) −12.7443 + 2.72971i −0.498342 + 0.106740i
\(655\) −44.2047 2.07426i −1.72722 0.0810478i
\(656\) −1.39471 + 2.92113i −0.0544542 + 0.114051i
\(657\) −5.72397 3.99686i −0.223313 0.155932i
\(658\) 5.83464 4.49522i 0.227458 0.175242i
\(659\) −2.69144 0.642821i −0.104843 0.0250407i 0.179546 0.983750i \(-0.442537\pi\)
−0.284389 + 0.958709i \(0.591791\pi\)
\(660\) −25.3272 + 4.19424i −0.985858 + 0.163261i
\(661\) 5.35577 15.7271i 0.208315 0.611714i −0.791684 0.610930i \(-0.790795\pi\)
1.00000 0.000783182i \(-0.000249294\pi\)
\(662\) 10.6216 + 18.7337i 0.412818 + 0.728104i
\(663\) 0.0156419 + 0.667058i 0.000607479 + 0.0259064i
\(664\) −0.251123 + 0.952070i −0.00974548 + 0.0369475i
\(665\) 34.7865 + 39.1235i 1.34896 + 1.51714i
\(666\) −6.72056 + 11.8533i −0.260416 + 0.459307i
\(667\) 29.3236 + 15.7291i 1.13542 + 0.609033i
\(668\) −6.40204 + 22.1522i −0.247702 + 0.857095i
\(669\) −31.2743 + 15.8428i −1.20913 + 0.612518i
\(670\) 39.7228 32.1156i 1.53463 1.24073i
\(671\) −43.1789 14.7043i −1.66690 0.567654i
\(672\) −1.44263 + 3.66373i −0.0556507 + 0.141331i
\(673\) −13.6224 + 34.5956i −0.525103 + 1.33356i 0.386423 + 0.922322i \(0.373710\pi\)
−0.911527 + 0.411241i \(0.865096\pi\)
\(674\) −12.3606 4.20932i −0.476111 0.162137i
\(675\) −53.4474 + 43.2117i −2.05719 + 1.66322i
\(676\) 1.66724 0.844582i 0.0641245 0.0324839i
\(677\) 1.46966 5.08530i 0.0564837 0.195444i −0.927460 0.373922i \(-0.878013\pi\)
0.983944 + 0.178478i \(0.0571173\pi\)
\(678\) −2.63443 1.41310i −0.101175 0.0542697i
\(679\) −0.373168 + 0.658170i −0.0143209 + 0.0252583i
\(680\) 0.436124 + 0.490497i 0.0167246 + 0.0188097i
\(681\) 1.81189 6.86932i 0.0694318 0.263233i
\(682\) −0.944644 40.2850i −0.0361723 1.54259i
\(683\) −1.44764 2.55326i −0.0553924 0.0976977i 0.840838 0.541288i \(-0.182063\pi\)
−0.896230 + 0.443590i \(0.853705\pi\)
\(684\) 1.81552 5.33124i 0.0694183 0.203845i
\(685\) −50.9642 + 8.43980i −1.94724 + 0.322468i
\(686\) 13.1883 + 3.14988i 0.503531 + 0.120263i
\(687\) 26.1608 20.1552i 0.998098 0.768971i
\(688\) 6.51803 + 4.55133i 0.248497 + 0.173518i
\(689\) −1.62985 + 3.41361i −0.0620923 + 0.130048i
\(690\) 35.0042 + 1.64253i 1.33259 + 0.0625301i
\(691\) −9.23416 + 1.97787i −0.351284 + 0.0752418i −0.381676 0.924296i \(-0.624653\pi\)
0.0303916 + 0.999538i \(0.490325\pi\)
\(692\) −8.04549 4.07565i −0.305844 0.154933i
\(693\) −14.2926 + 15.3350i −0.542933 + 0.582528i
\(694\) 5.71452 + 7.41726i 0.216920 + 0.281555i
\(695\) −0.351419 + 0.343275i −0.0133301 + 0.0130212i
\(696\) −5.13213 + 3.76560i −0.194533 + 0.142735i
\(697\) −0.493356 0.130130i −0.0186872 0.00492904i
\(698\) 24.0757 + 5.15679i 0.911279 + 0.195188i
\(699\) −16.3858 13.2477i −0.619767 0.501076i
\(700\) 20.4268 + 32.3886i 0.772062 + 1.22417i
\(701\) 38.7402 2.72926i 1.46320 0.103083i 0.683826 0.729645i \(-0.260315\pi\)
0.779371 + 0.626562i \(0.215539\pi\)
\(702\) 17.2918 6.80882i 0.652637 0.256982i
\(703\) 33.0820 + 21.9647i 1.24771 + 0.828415i
\(704\) 4.11000 2.59210i 0.154902 0.0976933i
\(705\) 10.7600 6.43860i 0.405246 0.242492i
\(706\) −14.0854 + 6.72515i −0.530111 + 0.253104i
\(707\) 46.7186 + 13.5018i 1.75703 + 0.507786i
\(708\) −0.221574 + 9.44918i −0.00832726 + 0.355122i
\(709\) 24.9186 13.3663i 0.935840 0.501981i 0.0673724 0.997728i \(-0.478538\pi\)
0.868467 + 0.495747i \(0.165106\pi\)
\(710\) −0.00781962 0.0365077i −0.000293465 0.00137011i
\(711\) −6.66598 18.1672i −0.249994 0.681325i
\(712\) 5.18473 + 0.610572i 0.194306 + 0.0228821i
\(713\) −10.2562 + 54.0400i −0.384096 + 2.02381i
\(714\) −0.609764 0.115726i −0.0228198 0.00433094i
\(715\) 47.1705 48.2896i 1.76408 1.80593i
\(716\) 12.6456 + 14.9120i 0.472589 + 0.557287i
\(717\) 0.348387 7.42451i 0.0130107 0.277273i
\(718\) 18.6461 6.34982i 0.695866 0.236973i
\(719\) −2.38076 + 3.77492i −0.0887875 + 0.140781i −0.887292 0.461209i \(-0.847416\pi\)
0.798504 + 0.601989i \(0.205625\pi\)
\(720\) 2.73620 5.10108i 0.101972 0.190106i
\(721\) −12.5604 2.08003i −0.467773 0.0774643i
\(722\) 2.38433 + 1.00403i 0.0887356 + 0.0373663i
\(723\) 2.06620 + 29.3284i 0.0768426 + 1.09073i
\(724\) −1.41835 7.47333i −0.0527126 0.277744i
\(725\) 61.9030i 2.29902i
\(726\) −15.7203 + 2.98353i −0.583435 + 0.110729i
\(727\) 24.5729 37.0103i 0.911358 1.37263i −0.0165652 0.999863i \(-0.505273\pi\)
0.927923 0.372772i \(-0.121593\pi\)
\(728\) −2.64066 10.0114i −0.0978692 0.371046i
\(729\) −24.2378 + 7.00478i −0.897698 + 0.259436i
\(730\) −15.6275 + 13.8951i −0.578399 + 0.514281i
\(731\) −0.513249 + 1.14315i −0.0189832 + 0.0422808i
\(732\) −9.92263 + 6.58811i −0.366751 + 0.243503i
\(733\) −18.4846 + 26.4720i −0.682743 + 0.977766i 0.316828 + 0.948483i \(0.397382\pi\)
−0.999571 + 0.0292834i \(0.990677\pi\)
\(734\) 6.52732 + 5.53527i 0.240928 + 0.204311i
\(735\) −13.0485 4.78780i −0.481301 0.176601i
\(736\) −6.22683 + 2.28477i −0.229524 + 0.0842176i
\(737\) 45.4627 38.5531i 1.67464 1.42012i
\(738\) 0.421380 + 4.48015i 0.0155112 + 0.164917i
\(739\) 26.2224 30.9220i 0.964605 1.13748i −0.0258523 0.999666i \(-0.508230\pi\)
0.990458 0.137818i \(-0.0440088\pi\)
\(740\) 29.8572 + 27.8278i 1.09757 + 1.02297i
\(741\) −5.14632 16.3592i −0.189055 0.600970i
\(742\) −2.78730 2.14744i −0.102325 0.0788349i
\(743\) −5.75175 7.11418i −0.211011 0.260994i 0.661104 0.750294i \(-0.270088\pi\)
−0.872115 + 0.489300i \(0.837252\pi\)
\(744\) −8.48336 6.22451i −0.311015 0.228202i
\(745\) 7.67746 1.08716i 0.281280 0.0398303i
\(746\) 6.27458 29.2944i 0.229729 1.07254i
\(747\) 0.380030 + 1.31497i 0.0139046 + 0.0481124i
\(748\) 0.522207 + 0.560291i 0.0190938 + 0.0204863i
\(749\) 1.62056 9.78582i 0.0592138 0.357566i
\(750\) 16.7061 + 34.9899i 0.610021 + 1.27765i
\(751\) −14.2031 33.7288i −0.518279 1.23078i −0.945200 0.326493i \(-0.894133\pi\)
0.426921 0.904289i \(-0.359598\pi\)
\(752\) −1.40403 + 1.91355i −0.0511998 + 0.0697800i
\(753\) −10.2880 + 5.83306i −0.374916 + 0.212569i
\(754\) 5.02280 15.9665i 0.182920 0.581467i
\(755\) 37.9468 26.4971i 1.38103 0.964326i
\(756\) 2.82419 + 17.0541i 0.102715 + 0.620250i
\(757\) −23.5601 + 30.5802i −0.856307 + 1.11146i 0.136370 + 0.990658i \(0.456456\pi\)
−0.992677 + 0.120800i \(0.961454\pi\)
\(758\) 2.79450 + 23.7298i 0.101501 + 0.861903i
\(759\) 40.8814 + 0.958628i 1.48390 + 0.0347960i
\(760\) −14.2688 8.99905i −0.517584 0.326430i
\(761\) 8.09920 + 18.0391i 0.293596 + 0.653918i 0.998463 0.0554215i \(-0.0176502\pi\)
−0.704867 + 0.709339i \(0.748994\pi\)
\(762\) −6.28684 2.82266i −0.227748 0.102254i
\(763\) 18.8583 + 25.7020i 0.682717 + 0.930473i
\(764\) 9.59917 16.0419i 0.347286 0.580375i
\(765\) 0.870371 + 0.273804i 0.0314683 + 0.00989940i
\(766\) −18.7425 7.38004i −0.677193 0.266652i
\(767\) −14.2289 20.3774i −0.513776 0.735785i
\(768\)