Properties

Label 690.2.w.b.217.2
Level $690$
Weight $2$
Character 690.217
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [690,2,Mod(7,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([0, 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("690.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (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: \(5.50967773947\)
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 217.2
Character \(\chi\) \(=\) 690.217
Dual form 690.2.w.b.283.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0713392 + 0.997452i) q^{2} +(0.977147 - 0.212565i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.67104 + 1.48580i) q^{5} +(0.142315 + 0.989821i) q^{6} +(3.33121 - 1.81898i) q^{7} +(0.212565 - 0.977147i) q^{8} +(0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.0713392 + 0.997452i) q^{2} +(0.977147 - 0.212565i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.67104 + 1.48580i) q^{5} +(0.142315 + 0.989821i) q^{6} +(3.33121 - 1.81898i) q^{7} +(0.212565 - 0.977147i) q^{8} +(0.909632 - 0.415415i) q^{9} +(-1.36281 - 1.77278i) q^{10} +(-0.824208 - 0.714181i) q^{11} +(-0.997452 + 0.0713392i) q^{12} +(1.01232 - 1.85393i) q^{13} +(1.57670 + 3.45249i) q^{14} +(-1.31702 + 1.80705i) q^{15} +(0.959493 + 0.281733i) q^{16} +(6.37613 + 4.77311i) q^{17} +(0.349464 + 0.936950i) q^{18} +(-0.435879 + 3.03161i) q^{19} +(1.86549 - 1.23287i) q^{20} +(2.86843 - 2.48551i) q^{21} +(0.771159 - 0.771159i) q^{22} +(4.50466 + 1.64562i) q^{23} -1.00000i q^{24} +(0.584771 - 4.96569i) q^{25} +(1.77699 + 1.14200i) q^{26} +(0.800541 - 0.599278i) q^{27} +(-3.55617 + 1.32638i) q^{28} +(-3.03728 + 0.436695i) q^{29} +(-1.70850 - 1.44258i) q^{30} +(4.68740 - 3.01241i) q^{31} +(-0.349464 + 0.936950i) q^{32} +(-0.957183 - 0.522661i) q^{33} +(-5.21582 + 6.01938i) q^{34} +(-2.86395 + 7.98912i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(-3.91310 - 1.45951i) q^{37} +(-2.99279 - 0.651041i) q^{38} +(0.595107 - 2.02675i) q^{39} +(1.09664 + 1.94869i) q^{40} +(-3.28427 + 7.19155i) q^{41} +(2.27455 + 3.03844i) q^{42} +(1.55833 + 7.16354i) q^{43} +(0.714181 + 0.824208i) q^{44} +(-0.902809 + 2.04571i) q^{45} +(-1.96278 + 4.37578i) q^{46} +(2.60941 + 2.60941i) q^{47} +(0.997452 + 0.0713392i) q^{48} +(4.00380 - 6.23003i) q^{49} +(4.91132 + 0.937529i) q^{50} +(7.24502 + 3.30869i) q^{51} +(-1.26586 + 1.69099i) q^{52} +(-4.67447 - 8.56066i) q^{53} +(0.540641 + 0.841254i) q^{54} +(2.43842 - 0.0311856i) q^{55} +(-1.06931 - 3.64173i) q^{56} +(0.218496 + 3.05498i) q^{57} +(-0.218905 - 3.06070i) q^{58} +(-2.33393 - 7.94863i) q^{59} +(1.56079 - 1.60123i) q^{60} +(2.89919 + 4.51123i) q^{61} +(2.67034 + 4.89036i) q^{62} +(2.27455 - 3.03844i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(1.06294 + 4.60212i) q^{65} +(0.589614 - 0.917457i) q^{66} +(-0.125617 - 0.00898434i) q^{67} +(-5.63195 - 5.63195i) q^{68} +(4.75151 + 0.650474i) q^{69} +(-7.76445 - 3.42659i) q^{70} +(4.04850 + 4.67221i) q^{71} +(-0.212565 - 0.977147i) q^{72} +(-2.47926 - 3.31190i) q^{73} +(1.73495 - 3.79901i) q^{74} +(-0.484125 - 4.97651i) q^{75} +(0.862885 - 2.93872i) q^{76} +(-4.04469 - 0.879869i) q^{77} +(1.97913 + 0.738178i) q^{78} +(14.2008 - 4.16973i) q^{79} +(-2.02195 + 0.954831i) q^{80} +(0.654861 - 0.755750i) q^{81} +(-6.93893 - 3.78894i) q^{82} +(-0.411173 + 1.10240i) q^{83} +(-3.19296 + 2.05199i) q^{84} +(-17.7467 + 1.49761i) q^{85} +(-7.25646 + 1.04332i) q^{86} +(-2.87504 + 1.07234i) q^{87} +(-0.873057 + 0.653563i) q^{88} +(-1.56947 - 1.00864i) q^{89} +(-1.97609 - 1.04645i) q^{90} -8.01724i q^{91} +(-4.22461 - 2.26995i) q^{92} +(3.93995 - 3.93995i) q^{93} +(-2.78891 + 2.41661i) q^{94} +(-3.77600 - 5.71357i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-2.58718 - 6.93649i) q^{97} +(5.92853 + 4.43804i) q^{98} +(-1.04641 - 0.307253i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{6} - 44 q^{10} + 24 q^{16} - 44 q^{21} + 96 q^{23} + 16 q^{25} + 16 q^{26} + 44 q^{28} - 16 q^{31} + 44 q^{33} + 16 q^{35} - 24 q^{36} + 44 q^{37} - 88 q^{43} + 8 q^{46} + 96 q^{47} - 24 q^{50} - 24 q^{55} + 44 q^{57} - 16 q^{58} + 88 q^{61} + 56 q^{62} - 88 q^{65} + 132 q^{67} - 56 q^{70} + 16 q^{71} + 48 q^{73} + 24 q^{81} - 24 q^{82} + 44 q^{85} - 16 q^{87} + 44 q^{88} - 124 q^{92} + 32 q^{93} + 20 q^{95} - 24 q^{96} - 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0713392 + 0.997452i −0.0504444 + 0.705305i
\(3\) 0.977147 0.212565i 0.564156 0.122725i
\(4\) −0.989821 0.142315i −0.494911 0.0711574i
\(5\) −1.67104 + 1.48580i −0.747313 + 0.664472i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) 3.33121 1.81898i 1.25908 0.687509i 0.295605 0.955310i \(-0.404479\pi\)
0.963474 + 0.267801i \(0.0862969\pi\)
\(8\) 0.212565 0.977147i 0.0751532 0.345474i
\(9\) 0.909632 0.415415i 0.303211 0.138472i
\(10\) −1.36281 1.77278i −0.430958 0.560603i
\(11\) −0.824208 0.714181i −0.248508 0.215334i 0.521695 0.853132i \(-0.325300\pi\)
−0.770203 + 0.637798i \(0.779845\pi\)
\(12\) −0.997452 + 0.0713392i −0.287940 + 0.0205938i
\(13\) 1.01232 1.85393i 0.280768 0.514189i −0.698796 0.715321i \(-0.746280\pi\)
0.979564 + 0.201133i \(0.0644622\pi\)
\(14\) 1.57670 + 3.45249i 0.421390 + 0.922716i
\(15\) −1.31702 + 1.80705i −0.340054 + 0.466580i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) 6.37613 + 4.77311i 1.54644 + 1.15765i 0.928446 + 0.371467i \(0.121145\pi\)
0.617994 + 0.786183i \(0.287946\pi\)
\(18\) 0.349464 + 0.936950i 0.0823695 + 0.220841i
\(19\) −0.435879 + 3.03161i −0.0999975 + 0.695498i 0.876725 + 0.480992i \(0.159723\pi\)
−0.976723 + 0.214506i \(0.931186\pi\)
\(20\) 1.86549 1.23287i 0.417135 0.275677i
\(21\) 2.86843 2.48551i 0.625943 0.542383i
\(22\) 0.771159 0.771159i 0.164412 0.164412i
\(23\) 4.50466 + 1.64562i 0.939286 + 0.343135i
\(24\) 1.00000i 0.204124i
\(25\) 0.584771 4.96569i 0.116954 0.993137i
\(26\) 1.77699 + 1.14200i 0.348497 + 0.223965i
\(27\) 0.800541 0.599278i 0.154064 0.115331i
\(28\) −3.55617 + 1.32638i −0.672053 + 0.250663i
\(29\) −3.03728 + 0.436695i −0.564009 + 0.0810923i −0.418421 0.908253i \(-0.637416\pi\)
−0.145588 + 0.989345i \(0.546507\pi\)
\(30\) −1.70850 1.44258i −0.311927 0.263378i
\(31\) 4.68740 3.01241i 0.841883 0.541045i −0.0471506 0.998888i \(-0.515014\pi\)
0.889033 + 0.457843i \(0.151378\pi\)
\(32\) −0.349464 + 0.936950i −0.0617771 + 0.165631i
\(33\) −0.957183 0.522661i −0.166624 0.0909836i
\(34\) −5.21582 + 6.01938i −0.894506 + 1.03231i
\(35\) −2.86395 + 7.98912i −0.484096 + 1.35041i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) −3.91310 1.45951i −0.643309 0.239942i 0.00657114 0.999978i \(-0.497908\pi\)
−0.649880 + 0.760036i \(0.725181\pi\)
\(38\) −2.99279 0.651041i −0.485494 0.105613i
\(39\) 0.595107 2.02675i 0.0952935 0.324540i
\(40\) 1.09664 + 1.94869i 0.173395 + 0.308114i
\(41\) −3.28427 + 7.19155i −0.512917 + 1.12313i 0.459135 + 0.888367i \(0.348159\pi\)
−0.972052 + 0.234765i \(0.924568\pi\)
\(42\) 2.27455 + 3.03844i 0.350970 + 0.468841i
\(43\) 1.55833 + 7.16354i 0.237644 + 1.09243i 0.929047 + 0.369961i \(0.120629\pi\)
−0.691404 + 0.722469i \(0.743007\pi\)
\(44\) 0.714181 + 0.824208i 0.107667 + 0.124254i
\(45\) −0.902809 + 2.04571i −0.134583 + 0.304957i
\(46\) −1.96278 + 4.37578i −0.289396 + 0.645174i
\(47\) 2.60941 + 2.60941i 0.380621 + 0.380621i 0.871326 0.490705i \(-0.163261\pi\)
−0.490705 + 0.871326i \(0.663261\pi\)
\(48\) 0.997452 + 0.0713392i 0.143970 + 0.0102969i
\(49\) 4.00380 6.23003i 0.571971 0.890005i
\(50\) 4.91132 + 0.937529i 0.694565 + 0.132587i
\(51\) 7.24502 + 3.30869i 1.01451 + 0.463309i
\(52\) −1.26586 + 1.69099i −0.175544 + 0.234499i
\(53\) −4.67447 8.56066i −0.642089 1.17590i −0.972686 0.232125i \(-0.925432\pi\)
0.330597 0.943772i \(-0.392750\pi\)
\(54\) 0.540641 + 0.841254i 0.0735719 + 0.114480i
\(55\) 2.43842 0.0311856i 0.328797 0.00420507i
\(56\) −1.06931 3.64173i −0.142893 0.486647i
\(57\) 0.218496 + 3.05498i 0.0289405 + 0.404641i
\(58\) −0.218905 3.06070i −0.0287437 0.401889i
\(59\) −2.33393 7.94863i −0.303852 1.03482i −0.959955 0.280153i \(-0.909615\pi\)
0.656104 0.754671i \(-0.272203\pi\)
\(60\) 1.56079 1.60123i 0.201497 0.206718i
\(61\) 2.89919 + 4.51123i 0.371204 + 0.577604i 0.975729 0.218982i \(-0.0702735\pi\)
−0.604525 + 0.796586i \(0.706637\pi\)
\(62\) 2.67034 + 4.89036i 0.339134 + 0.621077i
\(63\) 2.27455 3.03844i 0.286566 0.382807i
\(64\) −0.909632 0.415415i −0.113704 0.0519269i
\(65\) 1.06294 + 4.60212i 0.131842 + 0.570822i
\(66\) 0.589614 0.917457i 0.0725765 0.112931i
\(67\) −0.125617 0.00898434i −0.0153466 0.00109761i 0.0636638 0.997971i \(-0.479721\pi\)
−0.0790104 + 0.996874i \(0.525176\pi\)
\(68\) −5.63195 5.63195i −0.682974 0.682974i
\(69\) 4.75151 + 0.650474i 0.572015 + 0.0783079i
\(70\) −7.76445 3.42659i −0.928030 0.409556i
\(71\) 4.04850 + 4.67221i 0.480468 + 0.554490i 0.943294 0.331960i \(-0.107710\pi\)
−0.462826 + 0.886449i \(0.653164\pi\)
\(72\) −0.212565 0.977147i −0.0250511 0.115158i
\(73\) −2.47926 3.31190i −0.290175 0.387629i 0.631638 0.775264i \(-0.282383\pi\)
−0.921813 + 0.387635i \(0.873292\pi\)
\(74\) 1.73495 3.79901i 0.201684 0.441626i
\(75\) −0.484125 4.97651i −0.0559020 0.574638i
\(76\) 0.862885 2.93872i 0.0989797 0.337094i
\(77\) −4.04469 0.879869i −0.460935 0.100270i
\(78\) 1.97913 + 0.738178i 0.224093 + 0.0835822i
\(79\) 14.2008 4.16973i 1.59771 0.469131i 0.642804 0.766030i \(-0.277771\pi\)
0.954909 + 0.296900i \(0.0959527\pi\)
\(80\) −2.02195 + 0.954831i −0.226061 + 0.106753i
\(81\) 0.654861 0.755750i 0.0727623 0.0839722i
\(82\) −6.93893 3.78894i −0.766277 0.418419i
\(83\) −0.411173 + 1.10240i −0.0451321 + 0.121004i −0.957560 0.288233i \(-0.906932\pi\)
0.912428 + 0.409237i \(0.134205\pi\)
\(84\) −3.19296 + 2.05199i −0.348380 + 0.223891i
\(85\) −17.7467 + 1.49761i −1.92490 + 0.162438i
\(86\) −7.25646 + 1.04332i −0.782484 + 0.112504i
\(87\) −2.87504 + 1.07234i −0.308237 + 0.114967i
\(88\) −0.873057 + 0.653563i −0.0930682 + 0.0696700i
\(89\) −1.56947 1.00864i −0.166363 0.106915i 0.454810 0.890589i \(-0.349707\pi\)
−0.621173 + 0.783673i \(0.713344\pi\)
\(90\) −1.97609 1.04645i −0.208299 0.110305i
\(91\) 8.01724i 0.840435i
\(92\) −4.22461 2.26995i −0.440446 0.236658i
\(93\) 3.93995 3.93995i 0.408554 0.408554i
\(94\) −2.78891 + 2.41661i −0.287654 + 0.249254i
\(95\) −3.77600 5.71357i −0.387409 0.586200i
\(96\) −0.142315 + 0.989821i −0.0145249 + 0.101023i
\(97\) −2.58718 6.93649i −0.262688 0.704294i −0.999599 0.0283047i \(-0.990989\pi\)
0.736911 0.675990i \(-0.236284\pi\)
\(98\) 5.92853 + 4.43804i 0.598872 + 0.448310i
\(99\) −1.04641 0.307253i −0.105168 0.0308801i
\(100\) −1.28551 + 4.83192i −0.128551 + 0.483192i
\(101\) 3.99386 + 8.74532i 0.397404 + 0.870192i 0.997527 + 0.0702849i \(0.0223908\pi\)
−0.600123 + 0.799907i \(0.704882\pi\)
\(102\) −3.81711 + 6.99052i −0.377950 + 0.692165i
\(103\) −16.1698 + 1.15648i −1.59325 + 0.113952i −0.839557 0.543271i \(-0.817186\pi\)
−0.753696 + 0.657223i \(0.771731\pi\)
\(104\) −1.59638 1.38327i −0.156538 0.135641i
\(105\) −1.10029 + 8.41532i −0.107377 + 0.821251i
\(106\) 8.87232 4.05185i 0.861756 0.393551i
\(107\) −0.127752 + 0.587265i −0.0123502 + 0.0567731i −0.982910 0.184089i \(-0.941067\pi\)
0.970559 + 0.240862i \(0.0774302\pi\)
\(108\) −0.877679 + 0.479249i −0.0844547 + 0.0461158i
\(109\) −1.18599 8.24871i −0.113597 0.790084i −0.964371 0.264552i \(-0.914776\pi\)
0.850774 0.525531i \(-0.176133\pi\)
\(110\) −0.142849 + 2.43443i −0.0136201 + 0.232114i
\(111\) −4.13391 0.594367i −0.392374 0.0564148i
\(112\) 3.70874 0.806787i 0.350443 0.0762342i
\(113\) 1.28754 18.0022i 0.121122 1.69351i −0.466620 0.884458i \(-0.654528\pi\)
0.587742 0.809048i \(-0.300017\pi\)
\(114\) −3.06278 −0.286856
\(115\) −9.97254 + 3.94315i −0.929944 + 0.367700i
\(116\) 3.06852 0.284904
\(117\) 0.150691 2.10693i 0.0139314 0.194786i
\(118\) 8.09488 1.76093i 0.745194 0.162107i
\(119\) 29.9224 + 4.30220i 2.74299 + 0.394382i
\(120\) 1.48580 + 1.67104i 0.135635 + 0.152545i
\(121\) −1.39620 9.71077i −0.126927 0.882797i
\(122\) −4.70657 + 2.56998i −0.426113 + 0.232675i
\(123\) −1.68054 + 7.72533i −0.151529 + 0.696569i
\(124\) −5.06840 + 2.31466i −0.455156 + 0.207863i
\(125\) 6.40086 + 9.16673i 0.572510 + 0.819898i
\(126\) 2.86843 + 2.48551i 0.255540 + 0.221427i
\(127\) −6.39705 + 0.457526i −0.567646 + 0.0405989i −0.352213 0.935920i \(-0.614571\pi\)
−0.215433 + 0.976519i \(0.569116\pi\)
\(128\) 0.479249 0.877679i 0.0423600 0.0775766i
\(129\) 3.04544 + 6.66858i 0.268136 + 0.587136i
\(130\) −4.66622 + 0.731925i −0.409255 + 0.0641941i
\(131\) −19.1601 5.62592i −1.67403 0.491539i −0.699279 0.714849i \(-0.746495\pi\)
−0.974747 + 0.223310i \(0.928314\pi\)
\(132\) 0.873057 + 0.653563i 0.0759899 + 0.0568853i
\(133\) 4.06242 + 10.8918i 0.352257 + 0.944436i
\(134\) 0.0179229 0.124656i 0.00154830 0.0107687i
\(135\) −0.447330 + 2.19087i −0.0385000 + 0.188560i
\(136\) 6.01938 5.21582i 0.516157 0.447253i
\(137\) −6.93959 + 6.93959i −0.592889 + 0.592889i −0.938411 0.345521i \(-0.887702\pi\)
0.345521 + 0.938411i \(0.387702\pi\)
\(138\) −0.987786 + 4.69300i −0.0840859 + 0.399495i
\(139\) 6.28479i 0.533069i −0.963825 0.266535i \(-0.914121\pi\)
0.963825 0.266535i \(-0.0858787\pi\)
\(140\) 3.97177 7.50022i 0.335676 0.633884i
\(141\) 3.10445 + 1.99511i 0.261441 + 0.168018i
\(142\) −4.94913 + 3.70487i −0.415321 + 0.310906i
\(143\) −2.15841 + 0.805045i −0.180495 + 0.0673212i
\(144\) 0.989821 0.142315i 0.0824851 0.0118596i
\(145\) 4.42659 5.24254i 0.367608 0.435370i
\(146\) 3.48033 2.23667i 0.288034 0.185108i
\(147\) 2.58801 6.93873i 0.213456 0.572296i
\(148\) 3.66556 + 2.00155i 0.301307 + 0.164526i
\(149\) 10.4930 12.1096i 0.859623 0.992058i −0.140375 0.990098i \(-0.544831\pi\)
0.999998 0.00195920i \(-0.000623634\pi\)
\(150\) 4.99836 0.127872i 0.408115 0.0104407i
\(151\) −12.0029 + 3.52436i −0.976780 + 0.286809i −0.730895 0.682490i \(-0.760897\pi\)
−0.245886 + 0.969299i \(0.579079\pi\)
\(152\) 2.86967 + 1.07033i 0.232761 + 0.0868154i
\(153\) 7.78276 + 1.69304i 0.629199 + 0.136874i
\(154\) 1.16617 3.97162i 0.0939728 0.320042i
\(155\) −3.35700 + 11.9984i −0.269641 + 0.963737i
\(156\) −0.877487 + 1.92143i −0.0702552 + 0.153837i
\(157\) 4.25428 + 5.68305i 0.339529 + 0.453557i 0.937513 0.347951i \(-0.113122\pi\)
−0.597984 + 0.801508i \(0.704031\pi\)
\(158\) 3.14603 + 14.4621i 0.250285 + 1.15054i
\(159\) −6.38735 7.37139i −0.506550 0.584589i
\(160\) −0.808154 2.08492i −0.0638902 0.164827i
\(161\) 17.9993 2.71199i 1.41854 0.213734i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −16.7993 1.20151i −1.31582 0.0941095i −0.604291 0.796764i \(-0.706543\pi\)
−0.711531 + 0.702654i \(0.751998\pi\)
\(164\) 4.27431 6.65095i 0.333767 0.519352i
\(165\) 2.37607 0.548796i 0.184976 0.0427237i
\(166\) −1.07026 0.488769i −0.0830679 0.0379358i
\(167\) −14.9940 + 20.0297i −1.16027 + 1.54994i −0.379420 + 0.925225i \(0.623876\pi\)
−0.780852 + 0.624717i \(0.785214\pi\)
\(168\) −1.81898 3.33121i −0.140337 0.257009i
\(169\) 4.61606 + 7.18273i 0.355082 + 0.552518i
\(170\) −0.227755 17.8083i −0.0174680 1.36584i
\(171\) 0.862885 + 2.93872i 0.0659864 + 0.224729i
\(172\) −0.522993 7.31240i −0.0398779 0.557565i
\(173\) −1.06345 14.8690i −0.0808526 1.13047i −0.862267 0.506454i \(-0.830956\pi\)
0.781414 0.624013i \(-0.214499\pi\)
\(174\) −0.864501 2.94422i −0.0655376 0.223201i
\(175\) −7.08448 17.6054i −0.535537 1.33085i
\(176\) −0.589614 0.917457i −0.0444438 0.0691560i
\(177\) −3.97019 7.27087i −0.298418 0.546512i
\(178\) 1.11803 1.49351i 0.0838000 0.111944i
\(179\) −20.9679 9.57570i −1.56721 0.715721i −0.572643 0.819805i \(-0.694082\pi\)
−0.994569 + 0.104084i \(0.966809\pi\)
\(180\) 1.18475 1.89641i 0.0883064 0.141350i
\(181\) −1.31753 + 2.05012i −0.0979314 + 0.152384i −0.886762 0.462227i \(-0.847051\pi\)
0.788830 + 0.614611i \(0.210687\pi\)
\(182\) 7.99681 + 0.571943i 0.592763 + 0.0423953i
\(183\) 3.79187 + 3.79187i 0.280303 + 0.280303i
\(184\) 2.56554 4.05191i 0.189134 0.298711i
\(185\) 8.70750 3.37519i 0.640188 0.248149i
\(186\) 3.64884 + 4.21098i 0.267546 + 0.308764i
\(187\) −1.84640 8.48775i −0.135022 0.620686i
\(188\) −2.21149 2.95421i −0.161290 0.215458i
\(189\) 1.57670 3.45249i 0.114688 0.251132i
\(190\) 5.96839 3.35878i 0.432993 0.243671i
\(191\) 1.75293 5.96993i 0.126838 0.431969i −0.871449 0.490486i \(-0.836819\pi\)
0.998286 + 0.0585174i \(0.0186373\pi\)
\(192\) −0.977147 0.212565i −0.0705195 0.0153406i
\(193\) −11.1428 4.15606i −0.802078 0.299160i −0.0852053 0.996363i \(-0.527155\pi\)
−0.716873 + 0.697204i \(0.754427\pi\)
\(194\) 7.10339 2.08574i 0.509994 0.149748i
\(195\) 2.01690 + 4.27100i 0.144433 + 0.305853i
\(196\) −4.84967 + 5.59682i −0.346405 + 0.399773i
\(197\) 9.28584 + 5.07045i 0.661589 + 0.361255i 0.774701 0.632327i \(-0.217900\pi\)
−0.113112 + 0.993582i \(0.536082\pi\)
\(198\) 0.381120 1.02182i 0.0270850 0.0726177i
\(199\) 17.8524 11.4731i 1.26553 0.813304i 0.276495 0.961015i \(-0.410827\pi\)
0.989030 + 0.147711i \(0.0471907\pi\)
\(200\) −4.72790 1.62694i −0.334313 0.115042i
\(201\) −0.124656 + 0.0179229i −0.00879259 + 0.00126418i
\(202\) −9.00796 + 3.35980i −0.633798 + 0.236394i
\(203\) −9.32349 + 6.97948i −0.654381 + 0.489863i
\(204\) −6.70040 4.30609i −0.469122 0.301486i
\(205\) −5.19708 16.8972i −0.362980 1.18015i
\(206\) 16.2111i 1.12948i
\(207\) 4.78120 0.374398i 0.332316 0.0260225i
\(208\) 1.49363 1.49363i 0.103565 0.103565i
\(209\) 2.52437 2.18738i 0.174614 0.151304i
\(210\) −8.31539 1.69783i −0.573816 0.117161i
\(211\) 0.312855 2.17596i 0.0215379 0.149799i −0.976215 0.216806i \(-0.930436\pi\)
0.997752 + 0.0670073i \(0.0213451\pi\)
\(212\) 3.40859 + 9.13877i 0.234103 + 0.627654i
\(213\) 4.94913 + 3.70487i 0.339108 + 0.253853i
\(214\) −0.576655 0.169321i −0.0394193 0.0115746i
\(215\) −13.2477 9.65521i −0.903483 0.658480i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) 10.1352 18.5613i 0.688024 1.26002i
\(218\) 8.31230 0.594508i 0.562980 0.0402651i
\(219\) −3.12660 2.70921i −0.211276 0.183071i
\(220\) −2.41804 0.316155i −0.163024 0.0213152i
\(221\) 15.3038 6.98899i 1.02944 0.470130i
\(222\) 0.887762 4.08098i 0.0595827 0.273897i
\(223\) 7.35421 4.01570i 0.492474 0.268911i −0.213764 0.976885i \(-0.568572\pi\)
0.706238 + 0.707974i \(0.250391\pi\)
\(224\) 0.540153 + 3.75685i 0.0360905 + 0.251015i
\(225\) −1.53089 4.75987i −0.102060 0.317325i
\(226\) 17.8645 + 2.56853i 1.18833 + 0.170856i
\(227\) −7.70864 + 1.67691i −0.511640 + 0.111301i −0.460971 0.887415i \(-0.652499\pi\)
−0.0506688 + 0.998716i \(0.516135\pi\)
\(228\) 0.218496 3.05498i 0.0144703 0.202321i
\(229\) −4.27189 −0.282295 −0.141147 0.989989i \(-0.545079\pi\)
−0.141147 + 0.989989i \(0.545079\pi\)
\(230\) −3.22167 10.2284i −0.212430 0.674443i
\(231\) −4.13929 −0.272345
\(232\) −0.218905 + 3.06070i −0.0143718 + 0.200945i
\(233\) −27.0760 + 5.89002i −1.77381 + 0.385868i −0.976124 0.217212i \(-0.930304\pi\)
−0.797681 + 0.603080i \(0.793940\pi\)
\(234\) 2.09081 + 0.300614i 0.136681 + 0.0196517i
\(235\) −8.23751 0.483364i −0.537356 0.0315312i
\(236\) 1.17896 + 8.19988i 0.0767441 + 0.533767i
\(237\) 12.9899 7.09303i 0.843785 0.460742i
\(238\) −6.42588 + 29.5393i −0.416528 + 1.91475i
\(239\) −15.7615 + 7.19805i −1.01953 + 0.465603i −0.853818 0.520571i \(-0.825719\pi\)
−0.165711 + 0.986174i \(0.552992\pi\)
\(240\) −1.77278 + 1.36281i −0.114433 + 0.0879689i
\(241\) 14.8123 + 12.8350i 0.954146 + 0.826772i 0.984965 0.172753i \(-0.0552661\pi\)
−0.0308190 + 0.999525i \(0.509812\pi\)
\(242\) 9.78563 0.699882i 0.629044 0.0449901i
\(243\) 0.479249 0.877679i 0.0307438 0.0563031i
\(244\) −2.22767 4.87792i −0.142612 0.312277i
\(245\) 2.56609 + 16.3595i 0.163941 + 1.04517i
\(246\) −7.58576 2.22738i −0.483650 0.142012i
\(247\) 5.17914 + 3.87706i 0.329541 + 0.246691i
\(248\) −1.94719 5.22062i −0.123647 0.331509i
\(249\) −0.167445 + 1.16460i −0.0106114 + 0.0738038i
\(250\) −9.60001 + 5.73060i −0.607158 + 0.362435i
\(251\) 1.57174 1.36192i 0.0992073 0.0859636i −0.603845 0.797102i \(-0.706365\pi\)
0.703052 + 0.711138i \(0.251820\pi\)
\(252\) −2.68381 + 2.68381i −0.169064 + 0.169064i
\(253\) −2.53751 4.57347i −0.159532 0.287532i
\(254\) 6.41339i 0.402412i
\(255\) −17.0228 + 5.23572i −1.06601 + 0.327873i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 6.24922 4.67810i 0.389815 0.291812i −0.386337 0.922358i \(-0.626260\pi\)
0.776152 + 0.630546i \(0.217169\pi\)
\(258\) −6.86885 + 2.56195i −0.427636 + 0.159500i
\(259\) −15.6902 + 2.25591i −0.974940 + 0.140175i
\(260\) −0.397176 4.70655i −0.0246318 0.291888i
\(261\) −2.58140 + 1.65896i −0.159785 + 0.102687i
\(262\) 6.97845 18.7099i 0.431130 1.15590i
\(263\) 17.3249 + 9.46011i 1.06830 + 0.583335i 0.914425 0.404755i \(-0.132643\pi\)
0.153874 + 0.988091i \(0.450825\pi\)
\(264\) −0.714181 + 0.824208i −0.0439548 + 0.0507265i
\(265\) 20.5307 + 7.35988i 1.26119 + 0.452114i
\(266\) −11.1538 + 3.27506i −0.683885 + 0.200807i
\(267\) −1.74800 0.651971i −0.106976 0.0399000i
\(268\) 0.123060 + 0.0267701i 0.00751710 + 0.00163524i
\(269\) 5.03648 17.1527i 0.307080 1.04582i −0.650943 0.759126i \(-0.725626\pi\)
0.958023 0.286691i \(-0.0925554\pi\)
\(270\) −2.15337 0.602485i −0.131050 0.0366660i
\(271\) −12.1619 + 26.6308i −0.738783 + 1.61771i 0.0467636 + 0.998906i \(0.485109\pi\)
−0.785546 + 0.618803i \(0.787618\pi\)
\(272\) 4.77311 + 6.37613i 0.289413 + 0.386610i
\(273\) −1.70419 7.83402i −0.103142 0.474137i
\(274\) −6.42685 7.41698i −0.388260 0.448076i
\(275\) −4.02837 + 3.67513i −0.242920 + 0.221619i
\(276\) −4.61058 1.32006i −0.277524 0.0794585i
\(277\) −1.08385 1.08385i −0.0651220 0.0651220i 0.673796 0.738918i \(-0.264663\pi\)
−0.738918 + 0.673796i \(0.764663\pi\)
\(278\) 6.26878 + 0.448352i 0.375976 + 0.0268904i
\(279\) 3.01241 4.68740i 0.180348 0.280628i
\(280\) 7.19777 + 4.49671i 0.430149 + 0.268730i
\(281\) 2.00639 + 0.916286i 0.119691 + 0.0546611i 0.474360 0.880331i \(-0.342679\pi\)
−0.354669 + 0.934992i \(0.615407\pi\)
\(282\) −2.21149 + 2.95421i −0.131692 + 0.175920i
\(283\) −0.944545 1.72980i −0.0561474 0.102826i 0.848098 0.529839i \(-0.177748\pi\)
−0.904246 + 0.427013i \(0.859566\pi\)
\(284\) −3.34236 5.20082i −0.198333 0.308612i
\(285\) −4.90421 4.78035i −0.290501 0.283164i
\(286\) −0.649015 2.21034i −0.0383770 0.130700i
\(287\) 2.14068 + 29.9306i 0.126360 + 1.76675i
\(288\) 0.0713392 + 0.997452i 0.00420370 + 0.0587754i
\(289\) 13.0830 + 44.5567i 0.769589 + 2.62098i
\(290\) 4.91340 + 4.78931i 0.288525 + 0.281238i
\(291\) −4.00251 6.22803i −0.234631 0.365094i
\(292\) 1.98269 + 3.63103i 0.116028 + 0.212490i
\(293\) −2.55802 + 3.41712i −0.149441 + 0.199630i −0.869015 0.494786i \(-0.835246\pi\)
0.719574 + 0.694416i \(0.244337\pi\)
\(294\) 6.73642 + 3.07642i 0.392876 + 0.179420i
\(295\) 15.7102 + 9.81475i 0.914684 + 0.571437i
\(296\) −2.25794 + 3.51343i −0.131240 + 0.204214i
\(297\) −1.08781 0.0778014i −0.0631209 0.00451449i
\(298\) 11.3302 + 11.3302i 0.656340 + 0.656340i
\(299\) 7.61104 6.68544i 0.440158 0.386629i
\(300\) −0.229033 + 4.99475i −0.0132232 + 0.288372i
\(301\) 18.2215 + 21.0287i 1.05027 + 1.21207i
\(302\) −2.65911 12.2237i −0.153014 0.703396i
\(303\) 5.76154 + 7.69651i 0.330992 + 0.442153i
\(304\) −1.27232 + 2.78600i −0.0729728 + 0.159788i
\(305\) −11.5475 3.23083i −0.661207 0.184997i
\(306\) −2.24394 + 7.64215i −0.128277 + 0.436873i
\(307\) 20.4515 + 4.44894i 1.16723 + 0.253915i 0.754100 0.656759i \(-0.228073\pi\)
0.413126 + 0.910674i \(0.364437\pi\)
\(308\) 3.87830 + 1.44653i 0.220987 + 0.0824238i
\(309\) −15.5544 + 4.56718i −0.884859 + 0.259818i
\(310\) −11.7284 4.20441i −0.666127 0.238794i
\(311\) 4.09723 4.72846i 0.232333 0.268126i −0.627597 0.778538i \(-0.715962\pi\)
0.859930 + 0.510412i \(0.170507\pi\)
\(312\) −1.85393 1.01232i −0.104958 0.0573116i
\(313\) −9.40056 + 25.2039i −0.531351 + 1.42461i 0.343010 + 0.939332i \(0.388553\pi\)
−0.874361 + 0.485275i \(0.838719\pi\)
\(314\) −5.97207 + 3.83802i −0.337023 + 0.216592i
\(315\) 0.713659 + 8.45689i 0.0402101 + 0.476492i
\(316\) −14.6497 + 2.10630i −0.824107 + 0.118489i
\(317\) −2.34524 + 0.874729i −0.131722 + 0.0491297i −0.414461 0.910067i \(-0.636030\pi\)
0.282739 + 0.959197i \(0.408757\pi\)
\(318\) 7.80828 5.84520i 0.437867 0.327783i
\(319\) 2.81523 + 1.80924i 0.157623 + 0.101298i
\(320\) 2.13726 0.657359i 0.119476 0.0367475i
\(321\) 0.601000i 0.0335445i
\(322\) 1.42102 + 18.1469i 0.0791904 + 1.01129i
\(323\) −17.2494 + 17.2494i −0.959784 + 0.959784i
\(324\) −0.755750 + 0.654861i −0.0419861 + 0.0363812i
\(325\) −8.61407 6.11101i −0.477823 0.338978i
\(326\) 2.39690 16.6708i 0.132752 0.923309i
\(327\) −2.91227 7.80811i −0.161049 0.431789i
\(328\) 6.32908 + 4.73789i 0.349465 + 0.261606i
\(329\) 13.4390 + 3.94603i 0.740914 + 0.217552i
\(330\) 0.377892 + 2.40916i 0.0208022 + 0.132620i
\(331\) 9.44956 + 20.6916i 0.519395 + 1.13732i 0.969668 + 0.244425i \(0.0785993\pi\)
−0.450273 + 0.892891i \(0.648673\pi\)
\(332\) 0.563875 1.03266i 0.0309467 0.0566746i
\(333\) −4.16578 + 0.297943i −0.228283 + 0.0163272i
\(334\) −18.9090 16.3847i −1.03465 0.896531i
\(335\) 0.223261 0.171630i 0.0121981 0.00937713i
\(336\) 3.45249 1.57670i 0.188349 0.0860160i
\(337\) −5.06805 + 23.2975i −0.276074 + 1.26909i 0.605042 + 0.796194i \(0.293156\pi\)
−0.881116 + 0.472900i \(0.843207\pi\)
\(338\) −7.49374 + 4.09189i −0.407606 + 0.222570i
\(339\) −2.56853 17.8645i −0.139503 0.970266i
\(340\) 17.7792 + 1.04326i 0.964213 + 0.0565785i
\(341\) −6.01480 0.864798i −0.325720 0.0468314i
\(342\) −2.99279 + 0.651041i −0.161831 + 0.0352042i
\(343\) 0.109838 1.53573i 0.00593067 0.0829216i
\(344\) 7.33108 0.395265
\(345\) −8.90646 + 5.97285i −0.479508 + 0.321567i
\(346\) 14.9070 0.801403
\(347\) 0.775945 10.8491i 0.0416549 0.582412i −0.933169 0.359437i \(-0.882969\pi\)
0.974824 0.222975i \(-0.0715767\pi\)
\(348\) 2.99839 0.652260i 0.160731 0.0349648i
\(349\) −6.80667 0.978651i −0.364353 0.0523860i −0.0422926 0.999105i \(-0.513466\pi\)
−0.322060 + 0.946719i \(0.604375\pi\)
\(350\) 18.0660 5.81047i 0.965667 0.310583i
\(351\) −0.300614 2.09081i −0.0160456 0.111599i
\(352\) 0.957183 0.522661i 0.0510180 0.0278579i
\(353\) −2.04939 + 9.42090i −0.109078 + 0.501424i 0.889897 + 0.456162i \(0.150776\pi\)
−0.998975 + 0.0452625i \(0.985588\pi\)
\(354\) 7.53557 3.44138i 0.400511 0.182907i
\(355\) −13.7072 1.79220i −0.727503 0.0951200i
\(356\) 1.40995 + 1.22173i 0.0747272 + 0.0647515i
\(357\) 30.1531 2.15659i 1.59587 0.114139i
\(358\) 11.0471 20.2313i 0.583859 1.06926i
\(359\) −6.38997 13.9921i −0.337250 0.738474i 0.662696 0.748889i \(-0.269412\pi\)
−0.999946 + 0.0104144i \(0.996685\pi\)
\(360\) 1.80705 + 1.31702i 0.0952402 + 0.0694133i
\(361\) 9.22973 + 2.71009i 0.485775 + 0.142636i
\(362\) −1.95090 1.46043i −0.102537 0.0767584i
\(363\) −3.42846 9.19206i −0.179948 0.482458i
\(364\) −1.14097 + 7.93564i −0.0598032 + 0.415940i
\(365\) 9.06379 + 1.85064i 0.474420 + 0.0968668i
\(366\) −4.05272 + 3.51170i −0.211839 + 0.183560i
\(367\) 9.77773 9.77773i 0.510394 0.510394i −0.404253 0.914647i \(-0.632469\pi\)
0.914647 + 0.404253i \(0.132469\pi\)
\(368\) 3.85856 + 2.84807i 0.201142 + 0.148466i
\(369\) 7.90600i 0.411570i
\(370\) 2.74541 + 8.92610i 0.142727 + 0.464046i
\(371\) −31.1433 20.0146i −1.61688 1.03911i
\(372\) −4.46056 + 3.33913i −0.231269 + 0.173126i
\(373\) −5.94914 + 2.21892i −0.308035 + 0.114891i −0.498728 0.866759i \(-0.666199\pi\)
0.190693 + 0.981650i \(0.438927\pi\)
\(374\) 8.59785 1.23618i 0.444584 0.0639215i
\(375\) 8.20311 + 7.59664i 0.423607 + 0.392289i
\(376\) 3.10445 1.99511i 0.160100 0.102890i
\(377\) −2.26511 + 6.07300i −0.116659 + 0.312775i
\(378\) 3.33121 + 1.81898i 0.171339 + 0.0935582i
\(379\) 1.35947 1.56891i 0.0698313 0.0805896i −0.719759 0.694224i \(-0.755748\pi\)
0.789590 + 0.613634i \(0.210293\pi\)
\(380\) 2.92444 + 6.19280i 0.150021 + 0.317684i
\(381\) −6.15360 + 1.80686i −0.315259 + 0.0925683i
\(382\) 5.82967 + 2.17435i 0.298272 + 0.111250i
\(383\) −0.860916 0.187281i −0.0439908 0.00956961i 0.190516 0.981684i \(-0.438984\pi\)
−0.234507 + 0.972114i \(0.575348\pi\)
\(384\) 0.281733 0.959493i 0.0143771 0.0489639i
\(385\) 8.06617 4.53932i 0.411090 0.231345i
\(386\) 4.94039 10.8179i 0.251459 0.550619i
\(387\) 4.39335 + 5.86883i 0.223327 + 0.298329i
\(388\) 1.57368 + 7.23409i 0.0798914 + 0.367255i
\(389\) 20.4642 + 23.6169i 1.03757 + 1.19742i 0.979982 + 0.199085i \(0.0637969\pi\)
0.0575923 + 0.998340i \(0.481658\pi\)
\(390\) −4.40400 + 1.70707i −0.223005 + 0.0864411i
\(391\) 20.8676 + 31.9939i 1.05532 + 1.61800i
\(392\) −5.23659 5.23659i −0.264488 0.264488i
\(393\) −19.9181 1.42457i −1.00474 0.0718601i
\(394\) −5.71998 + 8.90046i −0.288168 + 0.448399i
\(395\) −17.5347 + 28.0674i −0.882268 + 1.41222i
\(396\) 0.992030 + 0.453045i 0.0498514 + 0.0227664i
\(397\) 1.58746 2.12060i 0.0796724 0.106430i −0.758934 0.651167i \(-0.774280\pi\)
0.838607 + 0.544737i \(0.183371\pi\)
\(398\) 10.1703 + 18.6254i 0.509789 + 0.933608i
\(399\) 6.28479 + 9.77933i 0.314633 + 0.489579i
\(400\) 1.96008 4.59979i 0.0980040 0.229990i
\(401\) −9.24389 31.4818i −0.461618 1.57213i −0.781020 0.624506i \(-0.785300\pi\)
0.319402 0.947619i \(-0.396518\pi\)
\(402\) −0.00898434 0.125617i −0.000448098 0.00626523i
\(403\) −0.839638 11.7397i −0.0418253 0.584795i
\(404\) −2.70861 9.22469i −0.134759 0.458946i
\(405\) 0.0285953 + 2.23589i 0.00142091 + 0.111102i
\(406\) −6.29656 9.79764i −0.312493 0.486249i
\(407\) 2.18285 + 3.99760i 0.108200 + 0.198154i
\(408\) 4.77311 6.37613i 0.236304 0.315666i
\(409\) −19.8746 9.07644i −0.982738 0.448801i −0.141778 0.989899i \(-0.545282\pi\)
−0.840960 + 0.541097i \(0.818009\pi\)
\(410\) 17.2249 3.97841i 0.850677 0.196480i
\(411\) −5.30588 + 8.25612i −0.261720 + 0.407244i
\(412\) 16.1698 + 1.15648i 0.796627 + 0.0569759i
\(413\) −22.2332 22.2332i −1.09402 1.09402i
\(414\) 0.0323578 + 4.79572i 0.00159030 + 0.235697i
\(415\) −0.950858 2.45307i −0.0466758 0.120417i
\(416\) 1.38327 + 1.59638i 0.0678204 + 0.0782690i
\(417\) −1.33593 6.14117i −0.0654207 0.300734i
\(418\) 2.00172 + 2.67398i 0.0979072 + 0.130789i
\(419\) −15.6924 + 34.3616i −0.766625 + 1.67867i −0.0326800 + 0.999466i \(0.510404\pi\)
−0.733945 + 0.679209i \(0.762323\pi\)
\(420\) 2.28672 8.17308i 0.111580 0.398805i
\(421\) 6.28059 21.3897i 0.306097 1.04247i −0.652520 0.757772i \(-0.726288\pi\)
0.958617 0.284699i \(-0.0918937\pi\)
\(422\) 2.14809 + 0.467289i 0.104568 + 0.0227473i
\(423\) 3.45759 + 1.28961i 0.168114 + 0.0627032i
\(424\) −9.35865 + 2.74795i −0.454496 + 0.133452i
\(425\) 27.4304 28.8707i 1.33057 1.40043i
\(426\) −4.04850 + 4.67221i −0.196150 + 0.226369i
\(427\) 17.8637 + 9.75430i 0.864484 + 0.472044i
\(428\) 0.210028 0.563107i 0.0101521 0.0272188i
\(429\) −1.93796 + 1.24545i −0.0935655 + 0.0601309i
\(430\) 10.5757 12.5251i 0.510005 0.604015i
\(431\) −36.8541 + 5.29881i −1.77520 + 0.255235i −0.950585 0.310463i \(-0.899516\pi\)
−0.824612 + 0.565698i \(0.808607\pi\)
\(432\) 0.936950 0.349464i 0.0450790 0.0168136i
\(433\) 28.3901 21.2526i 1.36434 1.02133i 0.368559 0.929605i \(-0.379851\pi\)
0.995784 0.0917295i \(-0.0292395\pi\)
\(434\) 17.7909 + 11.4335i 0.853992 + 0.548828i
\(435\) 3.21104 6.06367i 0.153958 0.290731i
\(436\) 8.33354i 0.399104i
\(437\) −6.95234 + 12.9391i −0.332576 + 0.618959i
\(438\) 2.92536 2.92536i 0.139779 0.139779i
\(439\) 7.09371 6.14673i 0.338564 0.293367i −0.468939 0.883230i \(-0.655364\pi\)
0.807503 + 0.589863i \(0.200818\pi\)
\(440\) 0.487851 2.38932i 0.0232574 0.113907i
\(441\) 1.05393 7.33028i 0.0501874 0.349061i
\(442\) 5.87942 + 15.7633i 0.279656 + 0.749786i
\(443\) −24.1095 18.0481i −1.14548 0.857492i −0.154037 0.988065i \(-0.549227\pi\)
−0.991439 + 0.130573i \(0.958318\pi\)
\(444\) 4.00725 + 1.17663i 0.190176 + 0.0558406i
\(445\) 4.12129 0.646448i 0.195368 0.0306446i
\(446\) 3.48083 + 7.62195i 0.164822 + 0.360910i
\(447\) 7.67915 14.0633i 0.363211 0.665172i
\(448\) −3.78581 + 0.270766i −0.178863 + 0.0127925i
\(449\) −10.4448 9.05050i −0.492922 0.427119i 0.372599 0.927993i \(-0.378467\pi\)
−0.865521 + 0.500873i \(0.833012\pi\)
\(450\) 4.85696 1.18743i 0.228959 0.0559759i
\(451\) 7.84299 3.58177i 0.369312 0.168659i
\(452\) −3.83642 + 17.6357i −0.180450 + 0.829516i
\(453\) −10.9794 + 5.99522i −0.515858 + 0.281680i
\(454\) −1.12271 7.80863i −0.0526914 0.366477i
\(455\) 11.9120 + 13.3972i 0.558445 + 0.628068i
\(456\) 3.03161 + 0.435879i 0.141968 + 0.0204119i
\(457\) −30.0362 + 6.53397i −1.40503 + 0.305646i −0.850263 0.526358i \(-0.823557\pi\)
−0.554769 + 0.832004i \(0.687193\pi\)
\(458\) 0.304753 4.26101i 0.0142402 0.199104i
\(459\) 7.96478 0.371764
\(460\) 10.4322 2.48377i 0.486404 0.115806i
\(461\) 29.9499 1.39491 0.697453 0.716630i \(-0.254316\pi\)
0.697453 + 0.716630i \(0.254316\pi\)
\(462\) 0.295293 4.12874i 0.0137383 0.192086i
\(463\) −14.6409 + 3.18494i −0.680423 + 0.148017i −0.539477 0.842000i \(-0.681378\pi\)
−0.140946 + 0.990017i \(0.545014\pi\)
\(464\) −3.03728 0.436695i −0.141002 0.0202731i
\(465\) −0.729832 + 12.4378i −0.0338451 + 0.576790i
\(466\) −3.94343 27.4272i −0.182676 1.27054i
\(467\) −23.0625 + 12.5931i −1.06721 + 0.582739i −0.914107 0.405472i \(-0.867107\pi\)
−0.153099 + 0.988211i \(0.548925\pi\)
\(468\) −0.449005 + 2.06404i −0.0207552 + 0.0954103i
\(469\) −0.434801 + 0.198567i −0.0200772 + 0.00916896i
\(470\) 1.06979 8.18204i 0.0493457 0.377409i
\(471\) 5.36508 + 4.64887i 0.247210 + 0.214208i
\(472\) −8.26309 + 0.590988i −0.380340 + 0.0272024i
\(473\) 3.83167 7.01718i 0.176180 0.322650i
\(474\) 6.14827 + 13.4628i 0.282399 + 0.618368i
\(475\) 14.7991 + 3.93723i 0.679030 + 0.180653i
\(476\) −29.0056 8.51682i −1.32947 0.390368i
\(477\) −7.80828 5.84520i −0.357517 0.267634i
\(478\) −6.05530 16.2349i −0.276963 0.742566i
\(479\) 3.67809 25.5817i 0.168056 1.16886i −0.714840 0.699288i \(-0.753501\pi\)
0.882896 0.469568i \(-0.155590\pi\)
\(480\) −1.23287 1.86549i −0.0562724 0.0851474i
\(481\) −6.66716 + 5.77712i −0.303996 + 0.263414i
\(482\) −13.8590 + 13.8590i −0.631258 + 0.631258i
\(483\) 17.0115 6.47604i 0.774050 0.294670i
\(484\) 9.81063i 0.445938i
\(485\) 14.6296 + 7.74714i 0.664294 + 0.351780i
\(486\) 0.841254 + 0.540641i 0.0381600 + 0.0245240i
\(487\) −15.3401 + 11.4835i −0.695128 + 0.520366i −0.887414 0.460973i \(-0.847501\pi\)
0.192286 + 0.981339i \(0.438410\pi\)
\(488\) 5.02441 1.87401i 0.227444 0.0848323i
\(489\) −16.6708 + 2.39690i −0.753878 + 0.108391i
\(490\) −16.5009 + 1.39248i −0.745435 + 0.0629056i
\(491\) −14.4234 + 9.26936i −0.650919 + 0.418321i −0.824002 0.566587i \(-0.808264\pi\)
0.173083 + 0.984907i \(0.444627\pi\)
\(492\) 2.76287 7.40753i 0.124560 0.333957i
\(493\) −21.4505 11.7129i −0.966083 0.527521i
\(494\) −4.23665 + 4.88936i −0.190616 + 0.219983i
\(495\) 2.20511 1.04132i 0.0991123 0.0468040i
\(496\) 5.34623 1.56979i 0.240053 0.0704858i
\(497\) 21.9851 + 8.20000i 0.986164 + 0.367820i
\(498\) −1.14969 0.250100i −0.0515189 0.0112073i
\(499\) 0.625577 2.13052i 0.0280047 0.0953752i −0.944305 0.329072i \(-0.893264\pi\)
0.972310 + 0.233697i \(0.0750823\pi\)
\(500\) −5.03115 9.98437i −0.225000 0.446514i
\(501\) −10.3937 + 22.7591i −0.464358 + 1.01680i
\(502\) 1.24632 + 1.66489i 0.0556261 + 0.0743078i
\(503\) 3.96725 + 18.2372i 0.176891 + 0.813155i 0.976990 + 0.213286i \(0.0684167\pi\)
−0.800099 + 0.599868i \(0.795220\pi\)
\(504\) −2.48551 2.86843i −0.110713 0.127770i
\(505\) −19.6677 8.67973i −0.875203 0.386243i
\(506\) 4.74284 2.20478i 0.210845 0.0980143i
\(507\) 6.03737 + 6.03737i 0.268129 + 0.268129i
\(508\) 6.39705 + 0.457526i 0.283823 + 0.0202994i
\(509\) 0.766973 1.19343i 0.0339955 0.0528980i −0.823840 0.566823i \(-0.808173\pi\)
0.857835 + 0.513925i \(0.171809\pi\)
\(510\) −4.00798 17.3529i −0.177477 0.768401i
\(511\) −14.2832 6.52293i −0.631852 0.288557i
\(512\) −0.599278 + 0.800541i −0.0264846 + 0.0353793i
\(513\) 1.46783 + 2.68814i 0.0648065 + 0.118684i
\(514\) 4.22037 + 6.56703i 0.186153 + 0.289659i
\(515\) 25.3021 25.9576i 1.11494 1.14383i
\(516\) −2.06540 7.03412i −0.0909243 0.309660i
\(517\) −0.287107 4.01429i −0.0126270 0.176548i
\(518\) −1.13083 15.8111i −0.0496860 0.694701i
\(519\) −4.19978 14.3031i −0.184350 0.627837i
\(520\) 4.72289 0.0604023i 0.207112 0.00264882i
\(521\) −4.24600 6.60690i −0.186021 0.289454i 0.735701 0.677307i \(-0.236853\pi\)
−0.921721 + 0.387853i \(0.873217\pi\)
\(522\) −1.47058 2.69317i −0.0643657 0.117877i
\(523\) 14.5813 19.4783i 0.637595 0.851728i −0.359071 0.933310i \(-0.616907\pi\)
0.996667 + 0.0815825i \(0.0259974\pi\)
\(524\) 18.1644 + 8.29542i 0.793517 + 0.362387i
\(525\) −10.6649 15.6972i −0.465454 0.685081i
\(526\) −10.6719 + 16.6059i −0.465319 + 0.724051i
\(527\) 44.2661 + 3.16597i 1.92826 + 0.137912i
\(528\) −0.771159 0.771159i −0.0335604 0.0335604i
\(529\) 17.5839 + 14.8259i 0.764517 + 0.644603i
\(530\) −8.80577 + 19.9534i −0.382498 + 0.866719i
\(531\) −5.42500 6.26078i −0.235425 0.271695i
\(532\) −2.47101 11.3591i −0.107132 0.492477i
\(533\) 10.0079 + 13.3690i 0.433491 + 0.579076i
\(534\) 0.775011 1.69704i 0.0335380 0.0734380i
\(535\) −0.659082 1.17116i −0.0284946 0.0506336i
\(536\) −0.0354809 + 0.120837i −0.00153254 + 0.00521936i
\(537\) −22.5241 4.89983i −0.971988 0.211443i
\(538\) 16.7497 + 6.24731i 0.722130 + 0.269341i
\(539\) −7.74933 + 2.27541i −0.333787 + 0.0980088i
\(540\) 0.754569 2.10490i 0.0324715 0.0905807i
\(541\) −3.13026 + 3.61251i −0.134580 + 0.155314i −0.819039 0.573737i \(-0.805493\pi\)
0.684459 + 0.729051i \(0.260039\pi\)
\(542\) −25.6954 14.0307i −1.10371 0.602672i
\(543\) −0.851638 + 2.28333i −0.0365473 + 0.0979870i
\(544\) −6.70040 + 4.30609i −0.287277 + 0.184622i
\(545\) 14.2378 + 12.0218i 0.609881 + 0.514958i
\(546\) 7.93564 1.14097i 0.339614 0.0488291i
\(547\) −1.23645 + 0.461173i −0.0528668 + 0.0197183i −0.375759 0.926718i \(-0.622618\pi\)
0.322892 + 0.946436i \(0.395345\pi\)
\(548\) 7.85656 5.88135i 0.335616 0.251239i
\(549\) 4.51123 + 2.89919i 0.192535 + 0.123735i
\(550\) −3.37838 4.28029i −0.144055 0.182512i
\(551\) 9.39819i 0.400376i
\(552\) 1.64562 4.50466i 0.0700420 0.191731i
\(553\) 39.7212 39.7212i 1.68912 1.68912i
\(554\) 1.15841 1.00376i 0.0492160 0.0426459i
\(555\) 7.79106 5.14897i 0.330712 0.218562i
\(556\) −0.894419 + 6.22082i −0.0379318 + 0.263822i
\(557\) −14.2345 38.1643i −0.603137 1.61707i −0.775006 0.631954i \(-0.782253\pi\)
0.171869 0.985120i \(-0.445019\pi\)
\(558\) 4.46056 + 3.33913i 0.188830 + 0.141357i
\(559\) 14.8583 + 4.36278i 0.628438 + 0.184526i
\(560\) −4.99874 + 6.85864i −0.211235 + 0.289830i
\(561\) −3.60840 7.90130i −0.152347 0.333593i
\(562\) −1.05709 + 1.93591i −0.0445905 + 0.0816613i
\(563\) −45.4407 + 3.24999i −1.91510 + 0.136971i −0.977526 0.210816i \(-0.932388\pi\)
−0.937574 + 0.347787i \(0.886933\pi\)
\(564\) −2.78891 2.41661i −0.117434 0.101758i
\(565\) 24.5962 + 31.9955i 1.03477 + 1.34606i
\(566\) 1.79278 0.818735i 0.0753562 0.0344140i
\(567\) 0.806787 3.70874i 0.0338819 0.155752i
\(568\) 5.42601 2.96282i 0.227670 0.124317i
\(569\) 2.37460 + 16.5157i 0.0995483 + 0.692374i 0.977083 + 0.212860i \(0.0682778\pi\)
−0.877534 + 0.479514i \(0.840813\pi\)
\(570\) 5.11804 4.55069i 0.214371 0.190607i
\(571\) 46.9340 + 6.74809i 1.96413 + 0.282399i 0.999847 + 0.0175182i \(0.00557651\pi\)
0.964281 + 0.264881i \(0.0853326\pi\)
\(572\) 2.25101 0.489677i 0.0941194 0.0204744i
\(573\) 0.443870 6.20611i 0.0185429 0.259264i
\(574\) −30.0071 −1.25247
\(575\) 10.8058 21.4064i 0.450633 0.892709i
\(576\) −1.00000 −0.0416667
\(577\) 3.22076 45.0321i 0.134082 1.87471i −0.273953 0.961743i \(-0.588331\pi\)
0.408035 0.912966i \(-0.366214\pi\)
\(578\) −45.3765 + 9.87105i −1.88741 + 0.410581i
\(579\) −11.7716 1.69250i −0.489212 0.0703380i
\(580\) −5.12762 + 4.55921i −0.212913 + 0.189311i
\(581\) 0.635533 + 4.42023i 0.0263664 + 0.183382i
\(582\) 6.49770 3.54801i 0.269338 0.147070i
\(583\) −2.26112 + 10.3942i −0.0936459 + 0.430483i
\(584\) −3.76322 + 1.71860i −0.155723 + 0.0711164i
\(585\) 2.87868 + 3.74467i 0.119019 + 0.154823i
\(586\) −3.22592 2.79528i −0.133262 0.115472i
\(587\) 23.4650 1.67825i 0.968505 0.0692689i 0.421885 0.906649i \(-0.361369\pi\)
0.546620 + 0.837380i \(0.315914\pi\)
\(588\) −3.54915 + 6.49979i −0.146365 + 0.268047i
\(589\) 7.08930 + 15.5234i 0.292110 + 0.639631i
\(590\) −10.9105 + 14.9700i −0.449178 + 0.616305i
\(591\) 10.1514 + 2.98073i 0.417574 + 0.122611i
\(592\) −3.34340 2.50284i −0.137413 0.102866i
\(593\) −2.01993 5.41564i −0.0829486 0.222394i 0.888854 0.458191i \(-0.151503\pi\)
−0.971802 + 0.235797i \(0.924230\pi\)
\(594\) 0.155206 1.07948i 0.00636819 0.0442917i
\(595\) −56.3939 + 37.2697i −2.31193 + 1.52791i
\(596\) −12.1096 + 10.4930i −0.496029 + 0.429811i
\(597\) 15.0057 15.0057i 0.614141 0.614141i
\(598\) 6.12544 + 8.06858i 0.250488 + 0.329949i
\(599\) 4.93153i 0.201497i 0.994912 + 0.100748i \(0.0321237\pi\)
−0.994912 + 0.100748i \(0.967876\pi\)
\(600\) −4.96569 0.584771i −0.202723 0.0238732i
\(601\) −26.3091 16.9078i −1.07317 0.689685i −0.120200 0.992750i \(-0.538354\pi\)
−0.952970 + 0.303065i \(0.901990\pi\)
\(602\) −22.2750 + 16.6749i −0.907862 + 0.679617i
\(603\) −0.117998 + 0.0440109i −0.00480524 + 0.00179226i
\(604\) 12.3823 1.78030i 0.503828 0.0724395i
\(605\) 16.7614 + 14.1526i 0.681448 + 0.575387i
\(606\) −8.08792 + 5.19779i −0.328549 + 0.211146i
\(607\) 13.2243 35.4558i 0.536758 1.43910i −0.331720 0.943378i \(-0.607629\pi\)
0.868479 0.495727i \(-0.165098\pi\)
\(608\) −2.68814 1.46783i −0.109018 0.0595285i
\(609\) −7.62682 + 8.80182i −0.309055 + 0.356668i
\(610\) 4.04639 11.2876i 0.163834 0.457021i
\(611\) 7.47924 2.19610i 0.302578 0.0888448i
\(612\) −7.46260 2.78341i −0.301658 0.112512i
\(613\) 33.2540 + 7.23397i 1.34312 + 0.292177i 0.825967 0.563718i \(-0.190630\pi\)
0.517149 + 0.855895i \(0.326993\pi\)
\(614\) −5.89660 + 20.0820i −0.237967 + 0.810442i
\(615\) −8.67007 15.4063i −0.349611 0.621242i
\(616\) −1.71952 + 3.76523i −0.0692815 + 0.151705i
\(617\) −19.7933 26.4408i −0.796849 1.06447i −0.996417 0.0845811i \(-0.973045\pi\)
0.199568 0.979884i \(-0.436046\pi\)
\(618\) −3.44591 15.8406i −0.138615 0.637202i
\(619\) 9.56034 + 11.0332i 0.384262 + 0.443462i 0.914622 0.404310i \(-0.132488\pi\)
−0.530359 + 0.847773i \(0.677943\pi\)
\(620\) 5.03039 11.3986i 0.202025 0.457777i
\(621\) 4.59235 1.38216i 0.184284 0.0554641i
\(622\) 4.42412 + 4.42412i 0.177391 + 0.177391i
\(623\) −7.06292 0.505150i −0.282970 0.0202384i
\(624\) 1.14200 1.77699i 0.0457167 0.0711366i
\(625\) −24.3161 5.80758i −0.972643 0.232303i
\(626\) −24.4690 11.1746i −0.977979 0.446628i
\(627\) 2.00172 2.67398i 0.0799409 0.106789i
\(628\) −3.40220 6.23066i −0.135762 0.248630i
\(629\) −17.9840 27.9837i −0.717070 1.11578i
\(630\) −8.48625 + 0.108533i −0.338100 + 0.00432406i
\(631\) −2.78203 9.47471i −0.110751 0.377182i 0.885401 0.464828i \(-0.153884\pi\)
−0.996152 + 0.0876457i \(0.972066\pi\)
\(632\) −1.05584 14.7626i −0.0419991 0.587224i
\(633\) −0.156827 2.19273i −0.00623332 0.0871533i
\(634\) −0.705193 2.40167i −0.0280068 0.0953824i
\(635\) 10.0100 10.2693i 0.397233 0.407525i
\(636\) 5.27328 + 8.20538i 0.209099 + 0.325364i
\(637\) −7.49692 13.7296i −0.297039 0.543986i
\(638\) −2.00547 + 2.67899i −0.0793972 + 0.106062i
\(639\) 5.62355 + 2.56819i 0.222464 + 0.101596i
\(640\) 0.503213 + 2.17871i 0.0198913 + 0.0861211i
\(641\) −9.98047 + 15.5299i −0.394205 + 0.613395i −0.980457 0.196734i \(-0.936967\pi\)
0.586252 + 0.810129i \(0.300603\pi\)
\(642\) −0.599468 0.0428748i −0.0236591 0.00169213i
\(643\) 19.2620 + 19.2620i 0.759621 + 0.759621i 0.976253 0.216632i \(-0.0695073\pi\)
−0.216632 + 0.976253i \(0.569507\pi\)
\(644\) −18.2021 + 0.122813i −0.717262 + 0.00483952i
\(645\) −14.9973 6.61856i −0.590517 0.260606i
\(646\) −15.9749 18.4360i −0.628525 0.725356i
\(647\) −7.19453 33.0727i −0.282846 1.30022i −0.870923 0.491419i \(-0.836478\pi\)
0.588077 0.808805i \(-0.299885\pi\)
\(648\) −0.599278 0.800541i −0.0235419 0.0314482i
\(649\) −3.75311 + 8.21817i −0.147323 + 0.322592i
\(650\) 6.70996 8.15617i 0.263186 0.319911i
\(651\) 5.95812 20.2915i 0.233517 0.795286i
\(652\) 16.4573 + 3.58007i 0.644518 + 0.140206i
\(653\) 41.2548 + 15.3873i 1.61443 + 0.602150i 0.984637 0.174616i \(-0.0558686\pi\)
0.629789 + 0.776766i \(0.283141\pi\)
\(654\) 7.99597 2.34783i 0.312667 0.0918074i
\(655\) 40.3764 19.0670i 1.57764 0.745010i
\(656\) −5.17733 + 5.97496i −0.202141 + 0.233283i
\(657\) −3.63103 1.98269i −0.141660 0.0773521i
\(658\) −4.89470 + 13.1232i −0.190815 + 0.511596i
\(659\) 16.8484 10.8278i 0.656320 0.421791i −0.169651 0.985504i \(-0.554264\pi\)
0.825971 + 0.563713i \(0.190628\pi\)
\(660\) −2.42998 + 0.205061i −0.0945869 + 0.00798199i
\(661\) 27.0339 3.88689i 1.05150 0.151183i 0.405169 0.914242i \(-0.367213\pi\)
0.646328 + 0.763059i \(0.276304\pi\)
\(662\) −21.3131 + 7.94936i −0.828355 + 0.308961i
\(663\) 13.4684 10.0823i 0.523069 0.391565i
\(664\) 0.989802 + 0.636107i 0.0384118 + 0.0246858i
\(665\) −22.9715 12.1647i −0.890797 0.471725i
\(666\) 4.17642i 0.161833i
\(667\) −14.4006 3.03104i −0.557592 0.117362i
\(668\) 17.6919 17.6919i 0.684521 0.684521i
\(669\) 6.33254 5.48718i 0.244830 0.212147i
\(670\) 0.155265 + 0.234936i 0.00599842 + 0.00907638i
\(671\) 0.832296 5.78875i 0.0321304 0.223472i
\(672\) 1.32638 + 3.55617i 0.0511664 + 0.137182i
\(673\) 23.8524 + 17.8557i 0.919441 + 0.688285i 0.950332 0.311238i \(-0.100744\pi\)
−0.0308910 + 0.999523i \(0.509834\pi\)
\(674\) −22.8766 6.71716i −0.881172 0.258735i
\(675\) −2.50769 4.32568i −0.0965211 0.166495i
\(676\) −3.54687 7.76656i −0.136418 0.298714i
\(677\) 5.94184 10.8817i 0.228363 0.418217i −0.738223 0.674557i \(-0.764335\pi\)
0.966587 + 0.256340i \(0.0825167\pi\)
\(678\) 18.0022 1.28754i 0.691371 0.0494478i
\(679\) −21.2358 18.4009i −0.814954 0.706162i
\(680\) −2.30895 + 17.6595i −0.0885443 + 0.677210i
\(681\) −7.17602 + 3.27718i −0.274986 + 0.125582i
\(682\) 1.29169 5.93778i 0.0494612 0.227369i
\(683\) −24.6577 + 13.4641i −0.943502 + 0.515191i −0.875885 0.482520i \(-0.839721\pi\)
−0.0676172 + 0.997711i \(0.521540\pi\)
\(684\) −0.435879 3.03161i −0.0166663 0.115916i
\(685\) 1.28548 21.9072i 0.0491158 0.837032i
\(686\) 1.52398 + 0.219115i 0.0581859 + 0.00836586i
\(687\) −4.17427 + 0.908056i −0.159258 + 0.0346445i
\(688\) −0.522993 + 7.31240i −0.0199389 + 0.278783i
\(689\) −20.6030 −0.784911
\(690\) −5.32225 9.30987i −0.202615 0.354421i
\(691\) −21.1019 −0.802754 −0.401377 0.915913i \(-0.631468\pi\)
−0.401377 + 0.915913i \(0.631468\pi\)
\(692\) −1.06345 + 14.8690i −0.0404263 + 0.565234i
\(693\) −4.04469 + 0.879869i −0.153645 + 0.0334234i
\(694\) 10.7661 + 1.54794i 0.408677 + 0.0587588i
\(695\) 9.33797 + 10.5022i 0.354209 + 0.398370i
\(696\) 0.436695 + 3.03728i 0.0165529 + 0.115128i
\(697\) −55.2671 + 30.1781i −2.09339 + 1.14308i
\(698\) 1.46174 6.71951i 0.0553277 0.254337i
\(699\) −25.2052 + 11.5108i −0.953347 + 0.435379i
\(700\) 4.50686 + 18.4345i 0.170343 + 0.696757i
\(701\) 15.2422 + 13.2075i 0.575691 + 0.498839i 0.893347 0.449367i \(-0.148350\pi\)
−0.317656 + 0.948206i \(0.602896\pi\)
\(702\) 2.10693 0.150691i 0.0795210 0.00568745i
\(703\) 6.13030 11.2268i 0.231208 0.423427i
\(704\) 0.453045 + 0.992030i 0.0170748 + 0.0373885i
\(705\) −8.15200 + 1.27869i −0.307022 + 0.0481583i
\(706\) −9.25070 2.71625i −0.348155 0.102227i
\(707\) 29.2119 + 21.8678i 1.09863 + 0.822423i
\(708\) 2.89503 + 7.76188i 0.108802 + 0.291709i
\(709\) 1.20391 8.37338i 0.0452138 0.314469i −0.954646 0.297742i \(-0.903766\pi\)
0.999860 0.0167267i \(-0.00532452\pi\)
\(710\) 2.76549 13.5444i 0.103787 0.508313i
\(711\) 11.1853 9.69214i 0.419482 0.363483i
\(712\) −1.31920 + 1.31920i −0.0494391 + 0.0494391i
\(713\) 26.0724 5.85622i 0.976420 0.219317i
\(714\) 30.2301i 1.13133i
\(715\) 2.41066 4.55224i 0.0901534 0.170244i
\(716\) 19.3917 + 12.4623i 0.724701 + 0.465737i
\(717\) −13.8713 + 10.3839i −0.518032 + 0.387794i
\(718\) 14.4123 5.37551i 0.537862 0.200612i
\(719\) 10.9257 1.57088i 0.407461 0.0585840i 0.0644627 0.997920i \(-0.479467\pi\)
0.342998 + 0.939336i \(0.388558\pi\)
\(720\) −1.44258 + 1.70850i −0.0537619 + 0.0636719i
\(721\) −51.7613 + 33.2649i −1.92769 + 1.23885i
\(722\) −3.36163 + 9.01288i −0.125107 + 0.335425i
\(723\) 17.2021 + 9.39305i 0.639753 + 0.349331i
\(724\) 1.59588 1.84175i 0.0593105 0.0684480i
\(725\) 0.392376 + 15.3376i 0.0145725 + 0.569623i
\(726\) 9.41323 2.76397i 0.349358 0.102581i
\(727\) −5.73497 2.13903i −0.212698 0.0793324i 0.240857 0.970561i \(-0.422572\pi\)
−0.453555 + 0.891228i \(0.649844\pi\)
\(728\) −7.83402 1.70419i −0.290348 0.0631614i
\(729\) 0.281733 0.959493i 0.0104345 0.0355368i
\(730\) −2.49253 + 8.90867i −0.0922525 + 0.329725i
\(731\) −24.2563 + 53.1138i −0.897150 + 1.96448i
\(732\) −3.21364 4.29291i −0.118779 0.158671i
\(733\) 2.23627 + 10.2800i 0.0825985 + 0.379699i 0.999826 0.0186651i \(-0.00594163\pi\)
−0.917227 + 0.398364i \(0.869578\pi\)
\(734\) 9.05529 + 10.4504i 0.334237 + 0.385730i
\(735\) 5.98491 + 15.4402i 0.220757 + 0.569520i
\(736\) −3.11608 + 3.64555i −0.114860 + 0.134377i
\(737\) 0.0971185 + 0.0971185i 0.00357741 + 0.00357741i
\(738\) −7.88586 0.564008i −0.290283 0.0207614i
\(739\) −20.1826 + 31.4048i −0.742431 + 1.15524i 0.240389 + 0.970677i \(0.422725\pi\)
−0.982820 + 0.184568i \(0.940911\pi\)
\(740\) −9.09921 + 2.10163i −0.334494 + 0.0772575i
\(741\) 5.88491 + 2.68755i 0.216188 + 0.0987296i
\(742\) 22.1853 29.6362i 0.814450 1.08798i
\(743\) 15.4676 + 28.3267i 0.567449 + 1.03921i 0.991067 + 0.133365i \(0.0425782\pi\)
−0.423618 + 0.905841i \(0.639240\pi\)
\(744\) −3.01241 4.68740i −0.110440 0.171849i
\(745\) 0.458192 + 35.8263i 0.0167868 + 1.31257i
\(746\) −1.78886 6.09228i −0.0654947 0.223054i
\(747\) 0.0839363 + 1.17358i 0.00307107 + 0.0429391i
\(748\) 0.619671 + 8.66413i 0.0226574 + 0.316792i
\(749\) 0.642655 + 2.18868i 0.0234821 + 0.0799727i
\(750\) −8.16249 + 7.64027i −0.298052 + 0.278983i
\(751\) −9.24313 14.3826i −0.337287 0.524828i 0.630635 0.776079i \(-0.282794\pi\)
−0.967922 + 0.251251i \(0.919158\pi\)
\(752\) 1.76855 + 3.23887i 0.0644925 + 0.118109i
\(753\) 1.24632 1.66489i 0.0454185 0.0606721i
\(754\) −5.89593 2.69258i −0.214717 0.0980580i
\(755\) 14.8208 23.7233i 0.539385 0.863379i
\(756\) −2.05199 + 3.19296i −0.0746302 + 0.116127i
\(757\) 32.4860 + 2.32344i 1.18072 + 0.0844470i 0.647863 0.761757i \(-0.275663\pi\)
0.532860 + 0.846204i \(0.321117\pi\)
\(758\) 1.46793 + 1.46793i 0.0533177 + 0.0533177i
\(759\) −3.45168 3.92956i −0.125288 0.142634i
\(760\) −6.38565 + 2.47520i −0.231632 + 0.0897849i
\(761\) −14.0132 16.1721i −0.507980 0.586240i 0.442600 0.896719i \(-0.354056\pi\)
−0.950580 + 0.310479i \(0.899511\pi\)
\(762\) −1.36326 6.26682i −0.0493858 0.227023i
\(763\) −18.9550 25.3209i −0.686217 0.916679i
\(764\) −2.58470 + 5.65970i −0.0935111 + 0.204761i
\(765\) −15.5208 + 8.73452i −0.561157 + 0.315797i
\(766\) 0.248221 0.845362i 0.00896858 0.0305442i
\(767\) −17.0989 3.71964i −0.617406 0.134309i
\(768\) 0.936950 + 0.349464i 0.0338093 + 0.0126102i
\(769\) 28.6559 8.41413i 1.03336 0.303421i 0.279282 0.960209i \(-0.409903\pi\)
0.754075 + 0.656788i \(0.228085\pi\)
\(770\) 3.95232 + 8.36945i 0.142432 + 0.301614i
\(771\) 5.11200 5.89956i 0.184104 0.212468i
\(772\) 10.4379 + 5.69955i 0.375670 + 0.205131i
\(773\) 17.4034 46.6602i 0.625955 1.67825i −0.103848 0.994593i \(-0.533116\pi\)
0.729803 0.683657i \(-0.239612\pi\)
\(774\) −6.16730 + 3.96348i −0.221679 + 0.142464i
\(775\) −12.2176 25.0378i −0.438870 0.899383i
\(776\) −7.32792 + 1.05360i −0.263057 + 0.0378219i
\(777\) −14.8521 + 5.53954i −0.532815 + 0.198730i
\(778\) −25.0166 + 18.7272i −0.896890 + 0.671403i
\(779\) −20.3704 13.0913i −0.729846 0.469043i
\(780\) −1.38855 4.51456i −0.0497180 0.161647i
\(781\) 6.74223i 0.241256i
\(782\) −33.4011 + 18.5320i −1.19442 + 0.662703i
\(783\) −2.16977 + 2.16977i −0.0775412 + 0.0775412i
\(784\) 5.59682 4.84967i 0.199886 0.173203i
\(785\) −15.5530 3.17560i −0.555110 0.113342i
\(786\) 2.84188 19.7657i 0.101367 0.705020i
\(787\) −7.28777 19.5393i −0.259781 0.696500i −0.999716 0.0238217i \(-0.992417\pi\)
0.739935 0.672678i \(-0.234856\pi\)
\(788\) −8.46973 6.34036i −0.301721 0.225866i
\(789\) 18.9399 + 5.56124i 0.674277 + 0.197985i
\(790\) −26.7450 19.4924i −0.951543 0.693507i
\(791\) −28.4566 62.3112i −1.01180 2.21553i
\(792\) −0.522661 + 0.957183i −0.0185720 + 0.0340120i
\(793\) 11.2985 0.808081i 0.401220 0.0286958i
\(794\) 2.00195 + 1.73470i 0.0710465 + 0.0615621i
\(795\) 21.6260 + 2.82757i 0.766995 + 0.100283i
\(796\) −19.3035 + 8.81562i −0.684195 + 0.312461i
\(797\) −5.25449 + 24.1545i −0.186124 + 0.855597i 0.785462 + 0.618910i \(0.212425\pi\)
−0.971586 + 0.236687i \(0.923938\pi\)
\(798\) −10.2028 + 5.57113i −0.361174 + 0.197216i
\(799\) 4.18294 + 29.0930i 0.147982 + 1.02923i
\(800\) 4.44824 + 2.28323i 0.157269 + 0.0807244i
\(801\) −1.84664 0.265507i −0.0652479 0.00938123i
\(802\) 32.0610 6.97445i 1.13211 0.246276i
\(803\) −0.321870 + 4.50034i −0.0113586 + 0.158813i
\(804\) 0.125938 0.00444150
\(805\) −26.0481 + 31.2753i −0.918077 + 1.10231i
\(806\) 11.7697 0.414569
\(807\) 1.27532 17.8313i 0.0448933 0.627691i
\(808\) 9.39442 2.04363i 0.330495 0.0718947i
\(809\) 51.8542 + 7.45550i 1.82310 + 0.262122i 0.967015 0.254721i \(-0.0819835\pi\)
0.856081 + 0.516842i \(0.172893\pi\)
\(810\) −2.23223 0.130984i −0.0784325 0.00460230i
\(811\) 5.27824 + 36.7109i 0.185344 + 1.28910i 0.843874 + 0.536541i \(0.180269\pi\)
−0.658530 + 0.752554i \(0.728822\pi\)
\(812\) 10.2219 5.58157i 0.358717 0.195875i
\(813\) −6.22317 + 28.6074i −0.218256 + 1.00331i
\(814\) −4.14314 + 1.89211i −0.145217 + 0.0663183i
\(815\) 29.8576 22.9527i 1.04586 0.803998i
\(816\) 6.01938 + 5.21582i 0.210720 + 0.182590i
\(817\) −22.3963 + 1.60181i −0.783546 + 0.0560403i
\(818\) 10.4712 19.1765i 0.366115 0.670490i
\(819\) −3.33048 7.29274i −0.116376 0.254829i
\(820\) 2.73946 + 17.4648i 0.0956661 + 0.609898i
\(821\) −39.0296 11.4601i −1.36214 0.399961i −0.482624 0.875828i \(-0.660316\pi\)
−0.879517 + 0.475867i \(0.842134\pi\)
\(822\) −7.85656 5.88135i −0.274029 0.205136i
\(823\) 4.06082 + 10.8875i 0.141551 + 0.379514i 0.988309 0.152465i \(-0.0487213\pi\)
−0.846758 + 0.531979i \(0.821449\pi\)
\(824\) −2.30707 + 16.0461i −0.0803707 + 0.558991i
\(825\) −3.15510 + 4.44743i −0.109847 + 0.154840i
\(826\) 23.7627 20.5905i 0.826808 0.716434i
\(827\) 6.04433 6.04433i 0.210182 0.210182i −0.594163 0.804345i \(-0.702517\pi\)
0.804345 + 0.594163i \(0.202517\pi\)
\(828\) −4.78581 0.309848i −0.166318 0.0107679i
\(829\) 0.508709i 0.0176682i −0.999961 0.00883409i \(-0.997188\pi\)
0.999961 0.00883409i \(-0.00281202\pi\)
\(830\) 2.51466 0.773435i 0.0872851 0.0268463i
\(831\) −1.28947 0.828689i −0.0447311 0.0287469i
\(832\) −1.69099 + 1.26586i −0.0586247 + 0.0438859i
\(833\) 55.2654 20.6129i 1.91483 0.714196i
\(834\) 6.22082 0.894419i 0.215409 0.0309712i
\(835\) −4.70450 55.7486i −0.162806 1.92926i
\(836\) −2.80997 + 1.80586i −0.0971849 + 0.0624569i
\(837\) 1.94719 5.22062i 0.0673047 0.180451i
\(838\) −33.1546 18.1038i −1.14531 0.625384i
\(839\) 0.349757 0.403641i 0.0120749 0.0139352i −0.749680 0.661801i \(-0.769793\pi\)
0.761755 + 0.647865i \(0.224338\pi\)
\(840\) 7.98912 + 2.86395i 0.275651 + 0.0988157i
\(841\) −18.7909 + 5.51751i −0.647963 + 0.190259i
\(842\) 20.8872 + 7.79051i 0.719819 + 0.268479i
\(843\) 2.15531 + 0.468858i 0.0742327 + 0.0161483i
\(844\) −0.619342 + 2.10928i −0.0213186 + 0.0726046i
\(845\) −18.3858 5.14409i −0.632490 0.176962i
\(846\) −1.53299 + 3.35678i −0.0527053 + 0.115408i
\(847\) −22.3147 29.8090i −0.766743 1.02425i
\(848\) −2.07331 9.53085i −0.0711977 0.327291i
\(849\) −1.29066 1.48950i −0.0442952 0.0511194i
\(850\) 26.8403 + 29.4201i 0.920614 + 1.00910i
\(851\) −15.2254 13.0140i −0.521919 0.446116i
\(852\) −4.37149 4.37149i −0.149765 0.149765i
\(853\) −9.13264 0.653179i −0.312695 0.0223644i −0.0858904 0.996305i \(-0.527373\pi\)
−0.226805 + 0.973940i \(0.572828\pi\)
\(854\) −11.0038 + 17.1223i −0.376543 + 0.585913i
\(855\) −5.80827 3.62864i −0.198639 0.124097i
\(856\) 0.546689 + 0.249664i 0.0186854 + 0.00853335i
\(857\) 23.4624 31.3421i 0.801461 1.07063i −0.194505 0.980901i \(-0.562310\pi\)
0.995967 0.0897252i \(-0.0285989\pi\)
\(858\) −1.10402 2.02187i −0.0376908 0.0690255i
\(859\) 3.29579 + 5.12834i 0.112451 + 0.174977i 0.892917 0.450221i \(-0.148655\pi\)
−0.780466 + 0.625198i \(0.785018\pi\)
\(860\) 11.7387 + 11.4423i 0.400288 + 0.390178i
\(861\) 8.45397 + 28.7916i 0.288110 + 0.981214i
\(862\) −2.65617 37.1382i −0.0904697 1.26493i
\(863\) 0.296151 + 4.14074i 0.0100811 + 0.140952i 1.00000 0.000684728i \(-0.000217956\pi\)
−0.989919 + 0.141637i \(0.954763\pi\)
\(864\) 0.281733 + 0.959493i 0.00958474 + 0.0326426i
\(865\) 23.8695 + 23.2666i 0.811586 + 0.791089i
\(866\) 19.1731 + 29.8339i 0.651529 + 1.01380i
\(867\) 22.2552 + 40.7574i 0.755827 + 1.38419i
\(868\) −12.6736 + 16.9300i −0.430170 + 0.574640i
\(869\) −14.6823 6.70520i −0.498064 0.227458i
\(870\) 5.81915 + 3.63544i 0.197288 + 0.123253i
\(871\) −0.143822 + 0.223791i −0.00487322 + 0.00758288i
\(872\) −8.31230 0.594508i −0.281490 0.0201326i
\(873\) −5.23490 5.23490i −0.177175 0.177175i
\(874\) −12.4101 7.85769i −0.419778 0.265790i
\(875\) 37.9967 + 18.8933i 1.28452 + 0.638710i
\(876\) 2.70921 + 3.12660i 0.0915357 + 0.105638i
\(877\) −4.01522 18.4576i −0.135584 0.623270i −0.993913 0.110170i \(-0.964860\pi\)
0.858329 0.513100i \(-0.171503\pi\)
\(878\) 5.62501 + 7.51413i 0.189835 + 0.253590i
\(879\) −1.77320 + 3.88277i −0.0598086 + 0.130963i
\(880\) 2.34843 + 0.657060i 0.0791657 + 0.0221495i
\(881\) 2.25658 7.68521i 0.0760261 0.258921i −0.912706 0.408617i \(-0.866011\pi\)
0.988732 + 0.149696i \(0.0478294\pi\)
\(882\) 7.23641 + 1.57419i 0.243663 + 0.0530056i
\(883\) −51.9520 19.3771i −1.74832 0.652091i −0.748386 0.663264i \(-0.769171\pi\)
−0.999938 + 0.0111731i \(0.996443\pi\)
\(884\) −16.1426 + 4.73990i −0.542935 + 0.159420i
\(885\) 17.4375 + 6.25100i 0.586154 + 0.210125i
\(886\) 19.7221 22.7605i 0.662577 0.764654i
\(887\) −5.31750 2.90358i −0.178544 0.0974925i 0.387491 0.921873i \(-0.373342\pi\)
−0.566036 + 0.824381i \(0.691524\pi\)
\(888\) −1.45951 + 3.91310i −0.0489779 + 0.131315i
\(889\) −20.4777 + 13.1602i −0.686800 + 0.441379i
\(890\) 0.350792 + 4.15690i 0.0117586 + 0.139340i
\(891\) −1.07948 + 0.155206i −0.0361640 + 0.00519961i
\(892\) −7.85085 + 2.92821i −0.262866 + 0.0980439i
\(893\) −9.04808 + 6.77331i −0.302783 + 0.226660i
\(894\) 13.4797 + 8.66285i 0.450827 + 0.289729i
\(895\) 49.2658 15.1527i 1.64677 0.506500i
\(896\) 3.79548i 0.126798i
\(897\) 6.01601 8.15050i 0.200869 0.272137i
\(898\) 9.77257 9.77257i 0.326115 0.326115i
\(899\) −12.9215 + 11.1965i −0.430955 + 0.373425i
\(900\) 0.837912 + 4.92929i 0.0279304 + 0.164310i
\(901\) 11.0559 76.8957i 0.368327 2.56177i
\(902\) 3.01314 + 8.07853i 0.100326 + 0.268986i
\(903\) 22.2750 + 16.6749i 0.741266 + 0.554905i
\(904\) −17.3171 5.08477i −0.575959 0.169117i
\(905\) −0.844424 5.38343i −0.0280696 0.178951i
\(906\) −5.19668 11.3791i −0.172648 0.378046i
\(907\) −7.27950 + 13.3314i −0.241712 + 0.442662i −0.970169 0.242429i \(-0.922056\pi\)
0.728457 + 0.685091i \(0.240238\pi\)
\(908\) 7.86882 0.562789i 0.261136 0.0186768i
\(909\) 7.26588 + 6.29592i 0.240994 + 0.208822i
\(910\) −14.2128 + 10.9260i −0.471150 + 0.362192i
\(911\) 25.4849 11.6386i 0.844354 0.385603i 0.0542132 0.998529i \(-0.482735\pi\)
0.790140 + 0.612926i \(0.210008\pi\)
\(912\) −0.651041 + 2.99279i −0.0215581 + 0.0991010i
\(913\) 1.12620 0.614953i 0.0372719 0.0203520i
\(914\) −4.37456 30.4258i −0.144698 1.00639i
\(915\) −11.9704 0.702402i −0.395728 0.0232207i
\(916\) 4.22841 + 0.607954i 0.139711 + 0.0200874i
\(917\) −74.0598 + 16.1107i −2.44567 + 0.532023i
\(918\) −0.568201 + 7.94449i −0.0187534 + 0.262207i
\(919\) 14.1690 0.467394 0.233697 0.972310i \(-0.424918\pi\)
0.233697 + 0.972310i \(0.424918\pi\)
\(920\) 1.73322 + 10.5828i 0.0571425 + 0.348905i
\(921\) 20.9298 0.689659
\(922\) −2.13660 + 29.8736i −0.0703653 + 0.983835i
\(923\) 12.7604 2.77585i 0.420012 0.0913681i
\(924\) 4.09716 + 0.589082i 0.134787 + 0.0193794i
\(925\) −9.53574 + 18.5777i −0.313533 + 0.610832i
\(926\) −2.13236 14.8309i −0.0700735 0.487372i
\(927\) −14.2281 + 7.76913i −0.467312 + 0.255172i
\(928\) 0.652260 2.99839i 0.0214115 0.0984270i
\(929\) 18.4390 8.42082i 0.604965 0.276278i −0.0892919 0.996005i \(-0.528460\pi\)
0.694257 + 0.719727i \(0.255733\pi\)
\(930\) −12.3541 1.61528i −0.405106 0.0529670i
\(931\) 17.1418 + 14.8535i 0.561801 + 0.486803i
\(932\) 27.6386 1.97675i 0.905333 0.0647507i
\(933\) 2.99849 5.49133i 0.0981662 0.179778i
\(934\) −10.9157 23.9021i −0.357174 0.782102i
\(935\) 15.6965 + 11.4400i 0.513332 + 0.374129i
\(936\) −2.02675 0.595107i −0.0662464 0.0194517i
\(937\) −13.8488 10.3671i −0.452419 0.338677i 0.348645 0.937255i \(-0.386642\pi\)
−0.801065 + 0.598578i \(0.795733\pi\)
\(938\) −0.167043 0.447858i −0.00545413 0.0146231i
\(939\) −3.82826 + 26.6261i −0.124930 + 0.868910i
\(940\) 8.08487 + 1.65076i 0.263699 + 0.0538420i
\(941\) 20.9894 18.1874i 0.684235 0.592893i −0.241802 0.970326i \(-0.577738\pi\)
0.926037 + 0.377433i \(0.123193\pi\)
\(942\) −5.01976 + 5.01976i −0.163553 + 0.163553i
\(943\) −26.6291 + 26.9908i −0.867162 + 0.878943i
\(944\) 8.28420i 0.269628i
\(945\) 2.49499 + 8.11192i 0.0811620 + 0.263881i
\(946\) 6.72595 + 4.32251i 0.218680 + 0.140537i
\(947\) −13.7997 + 10.3303i −0.448430 + 0.335690i −0.799508 0.600656i \(-0.794906\pi\)
0.351078 + 0.936346i \(0.385815\pi\)
\(948\) −13.8671 + 5.17217i −0.450384 + 0.167984i
\(949\) −8.64986 + 1.24366i −0.280786 + 0.0403710i
\(950\) −4.98296 + 14.4805i −0.161669 + 0.469810i
\(951\) −2.10571 + 1.35326i −0.0682822 + 0.0438823i
\(952\) 10.5644 28.3241i 0.342393 0.917990i
\(953\) −26.2068 14.3100i −0.848922 0.463546i −0.00498415 0.999988i \(-0.501587\pi\)
−0.843938 + 0.536441i \(0.819768\pi\)
\(954\) 6.38735 7.37139i 0.206798 0.238658i
\(955\) 5.94093 + 12.5805i 0.192244 + 0.407096i
\(956\) 16.6255 4.88169i 0.537707 0.157885i
\(957\) 3.13548 + 1.16947i 0.101356 + 0.0378037i
\(958\) 25.2541 + 5.49369i 0.815922 + 0.177493i
\(959\) −10.4943 + 35.7402i −0.338878 + 1.15411i
\(960\) 1.94869 1.09664i 0.0628935 0.0353940i
\(961\) 0.0192668 0.0421885i 0.000621511 0.00136092i
\(962\) −5.28678 7.06231i −0.170452 0.227698i
\(963\) 0.127752 + 0.587265i 0.00411674 + 0.0189244i
\(964\) −12.8350 14.8123i −0.413386 0.477073i
\(965\) 24.7952 9.61111i 0.798187 0.309392i
\(966\) 5.24595 + 17.4301i 0.168786 + 0.560806i
\(967\) 29.2204 + 29.2204i 0.939665 + 0.939665i 0.998281 0.0586155i \(-0.0186686\pi\)
−0.0586155 + 0.998281i \(0.518669\pi\)
\(968\) −9.78563 0.699882i −0.314522 0.0224951i
\(969\) −13.1886 + 20.5218i −0.423679 + 0.659257i
\(970\) −8.77106 + 14.0396i −0.281622 + 0.450785i
\(971\) 47.6006 + 21.7385i 1.52758 + 0.697621i 0.989401 0.145211i \(-0.0463863\pi\)
0.538176 + 0.842832i \(0.319114\pi\)
\(972\) −0.599278 + 0.800541i −0.0192218 + 0.0256774i
\(973\) −11.4319 20.9360i −0.366490 0.671177i
\(974\) −10.3599 16.1203i −0.331952 0.516527i
\(975\) −9.71620 4.14030i −0.311168 0.132596i
\(976\) 1.51080 + 5.14530i 0.0483594 + 0.164697i
\(977\) −2.06490 28.8711i −0.0660621 0.923669i −0.917124 0.398603i \(-0.869495\pi\)
0.851061 0.525066i \(-0.175959\pi\)
\(978\) −1.20151 16.7993i −0.0384200 0.537182i
\(979\) 0.573221 + 1.95221i 0.0183202 + 0.0623929i
\(980\) −0.211767 16.5582i −0.00676465 0.528932i
\(981\) −4.50545 7.01062i −0.143848 0.223832i
\(982\) −8.21679 15.0479i −0.262208 0.480199i
\(983\) −20.1782 + 26.9550i −0.643586 + 0.859730i −0.997132 0.0756872i \(-0.975885\pi\)
0.353546 + 0.935417i \(0.384976\pi\)
\(984\) 7.19155 + 3.28427i 0.229258 + 0.104699i
\(985\) −23.0507 + 5.32400i −0.734458 + 0.169637i
\(986\) 13.2133 20.5603i 0.420797 0.654773i
\(987\) 13.9706 + 0.999199i 0.444690 + 0.0318048i
\(988\) −4.57466 4.57466i −0.145539 0.145539i
\(989\) −4.76868 + 34.8337i −0.151635 + 1.10765i
\(990\) 0.881360 + 2.27378i 0.0280115 + 0.0722654i
\(991\) −4.55930 5.26171i −0.144831 0.167144i 0.678699 0.734416i \(-0.262544\pi\)
−0.823530 + 0.567273i \(0.807999\pi\)
\(992\) 1.18440 + 5.44459i 0.0376047 + 0.172866i
\(993\) 13.6319 + 18.2101i 0.432596 + 0.577881i
\(994\) −9.74750 + 21.3441i −0.309172 + 0.676992i
\(995\) −12.7855 + 45.6972i −0.405326 + 1.44870i
\(996\) 0.331481 1.12892i 0.0105034 0.0357712i
\(997\) −3.13148 0.681212i −0.0991750 0.0215742i 0.162704 0.986675i \(-0.447978\pi\)
−0.261879 + 0.965101i \(0.584342\pi\)
\(998\) 2.08046 + 0.775973i 0.0658559 + 0.0245630i
\(999\) −4.00725 + 1.17663i −0.126784 + 0.0372271i
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 690.2.w.b.217.2 yes 240
5.3 odd 4 inner 690.2.w.b.493.9 yes 240
23.7 odd 22 inner 690.2.w.b.7.9 240
115.53 even 44 inner 690.2.w.b.283.2 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.w.b.7.9 240 23.7 odd 22 inner
690.2.w.b.217.2 yes 240 1.1 even 1 trivial
690.2.w.b.283.2 yes 240 115.53 even 44 inner
690.2.w.b.493.9 yes 240 5.3 odd 4 inner