Properties

Label 230.2.l.a.103.9
Level $230$
Weight $2$
Character 230.103
Analytic conductor $1.837$
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] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

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

Embedding invariants

Embedding label 103.9
Character \(\chi\) \(=\) 230.103
Dual form 230.2.l.a.67.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.212565 - 0.977147i) q^{2} +(-0.985673 + 0.737866i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(1.29447 + 1.82328i) q^{5} +(0.511483 + 1.11999i) q^{6} +(-0.0864458 + 1.20867i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(-0.418092 + 1.42389i) q^{9} +O(q^{10})\) \(q+(0.212565 - 0.977147i) q^{2} +(-0.985673 + 0.737866i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(1.29447 + 1.82328i) q^{5} +(0.511483 + 1.11999i) q^{6} +(-0.0864458 + 1.20867i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(-0.418092 + 1.42389i) q^{9} +(2.05677 - 0.877326i) q^{10} +(-1.71419 + 2.66733i) q^{11} +(1.20312 - 0.261723i) q^{12} +(5.12881 - 0.366820i) q^{13} +(1.16267 + 0.341392i) q^{14} +(-2.62126 - 0.842007i) q^{15} +(0.654861 + 0.755750i) q^{16} +(1.27205 - 3.41051i) q^{17} +(1.30248 + 0.711206i) q^{18} +(-0.552811 + 1.21049i) q^{19} +(-0.420079 - 2.19625i) q^{20} +(-0.806629 - 1.25514i) q^{21} +(2.24200 + 2.24200i) q^{22} +(3.64105 + 3.12134i) q^{23} -1.23126i q^{24} +(-1.64867 + 4.72037i) q^{25} +(0.731770 - 5.08957i) q^{26} +(-1.92938 - 5.17287i) q^{27} +(0.580734 - 1.06353i) q^{28} +(0.381814 - 0.174369i) q^{29} +(-1.37995 + 2.38238i) q^{30} +(-0.00687467 - 0.0478144i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.278502 - 3.89396i) q^{33} +(-3.06217 - 1.96794i) q^{34} +(-2.31564 + 1.40698i) q^{35} +(0.971814 - 1.12153i) q^{36} +(-3.33816 - 6.11338i) q^{37} +(1.06532 + 0.797485i) q^{38} +(-4.78467 + 4.14594i) q^{39} +(-2.23536 - 0.0563686i) q^{40} +(-7.66309 + 2.25009i) q^{41} +(-1.39792 + 0.521396i) q^{42} +(-7.09311 - 9.47529i) q^{43} +(2.66733 - 1.71419i) q^{44} +(-3.13735 + 1.08089i) q^{45} +(3.82397 - 2.89435i) q^{46} +(-0.789829 + 0.789829i) q^{47} +(-1.20312 - 0.261723i) q^{48} +(5.47534 + 0.787235i) q^{49} +(4.26204 + 2.61438i) q^{50} +(1.26267 + 4.30025i) q^{51} +(-4.81771 - 1.79691i) q^{52} +(10.3439 + 0.739812i) q^{53} +(-5.46477 + 0.785715i) q^{54} +(-7.08226 + 0.327351i) q^{55} +(-0.915785 - 0.793533i) q^{56} +(-0.348286 - 1.60105i) q^{57} +(-0.0892234 - 0.410153i) q^{58} +(-1.43884 - 1.24677i) q^{59} +(2.03460 + 1.85483i) q^{60} +(3.22324 - 0.463432i) q^{61} +(-0.0481830 - 0.00344611i) q^{62} +(-1.68487 - 0.628424i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(7.30793 + 8.87640i) q^{65} +(-3.86417 - 0.555584i) q^{66} +(4.80982 + 1.04631i) q^{67} +(-2.57388 + 2.57388i) q^{68} +(-5.89202 - 0.390022i) q^{69} +(0.882599 + 2.56180i) q^{70} +(-6.59587 + 4.23891i) q^{71} +(-0.889329 - 1.18800i) q^{72} +(11.1774 - 4.16896i) q^{73} +(-6.68325 + 1.96238i) q^{74} +(-1.85795 - 5.86924i) q^{75} +(1.00571 - 0.871452i) q^{76} +(-3.07574 - 2.30247i) q^{77} +(3.03414 + 5.55661i) q^{78} +(9.78605 - 11.2937i) q^{79} +(-0.530240 + 2.17229i) q^{80} +(1.97336 + 1.26820i) q^{81} +(0.569758 + 7.96626i) q^{82} +(-5.45048 + 2.97619i) q^{83} +(0.212332 + 1.47680i) q^{84} +(7.86494 - 2.09551i) q^{85} +(-10.7665 + 4.91689i) q^{86} +(-0.247683 + 0.453598i) q^{87} +(-1.10803 - 2.97075i) q^{88} +(0.260623 - 1.81268i) q^{89} +(0.389298 + 3.29541i) q^{90} +6.23075i q^{91} +(-2.01536 - 4.35182i) q^{92} +(0.0420568 + 0.0420568i) q^{93} +(0.603889 + 0.939669i) q^{94} +(-2.92265 + 0.559018i) q^{95} +(-0.511483 + 1.11999i) q^{96} +(-2.35850 - 1.28784i) q^{97} +(1.93311 - 5.18287i) q^{98} +(-3.08130 - 3.55601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.212565 0.977147i 0.150306 0.690947i
\(3\) −0.985673 + 0.737866i −0.569079 + 0.426007i −0.844685 0.535264i \(-0.820212\pi\)
0.275606 + 0.961271i \(0.411121\pi\)
\(4\) −0.909632 0.415415i −0.454816 0.207708i
\(5\) 1.29447 + 1.82328i 0.578907 + 0.815394i
\(6\) 0.511483 + 1.11999i 0.208812 + 0.457235i
\(7\) −0.0864458 + 1.20867i −0.0326734 + 0.456834i 0.954609 + 0.297861i \(0.0962731\pi\)
−0.987283 + 0.158974i \(0.949181\pi\)
\(8\) −0.599278 + 0.800541i −0.211877 + 0.283034i
\(9\) −0.418092 + 1.42389i −0.139364 + 0.474630i
\(10\) 2.05677 0.877326i 0.650407 0.277435i
\(11\) −1.71419 + 2.66733i −0.516848 + 0.804231i −0.997349 0.0727629i \(-0.976818\pi\)
0.480501 + 0.876994i \(0.340455\pi\)
\(12\) 1.20312 0.261723i 0.347311 0.0755529i
\(13\) 5.12881 0.366820i 1.42248 0.101738i 0.661222 0.750191i \(-0.270038\pi\)
0.761255 + 0.648453i \(0.224584\pi\)
\(14\) 1.16267 + 0.341392i 0.310737 + 0.0912407i
\(15\) −2.62126 0.842007i −0.676807 0.217405i
\(16\) 0.654861 + 0.755750i 0.163715 + 0.188937i
\(17\) 1.27205 3.41051i 0.308518 0.827170i −0.686468 0.727160i \(-0.740840\pi\)
0.994986 0.100010i \(-0.0318874\pi\)
\(18\) 1.30248 + 0.711206i 0.306997 + 0.167633i
\(19\) −0.552811 + 1.21049i −0.126824 + 0.277705i −0.962384 0.271694i \(-0.912416\pi\)
0.835560 + 0.549399i \(0.185143\pi\)
\(20\) −0.420079 2.19625i −0.0939325 0.491097i
\(21\) −0.806629 1.25514i −0.176021 0.273894i
\(22\) 2.24200 + 2.24200i 0.477996 + 0.477996i
\(23\) 3.64105 + 3.12134i 0.759211 + 0.650845i
\(24\) 1.23126i 0.251330i
\(25\) −1.64867 + 4.72037i −0.329734 + 0.944074i
\(26\) 0.731770 5.08957i 0.143512 0.998148i
\(27\) −1.92938 5.17287i −0.371309 0.995519i
\(28\) 0.580734 1.06353i 0.109748 0.200989i
\(29\) 0.381814 0.174369i 0.0709011 0.0323795i −0.379649 0.925131i \(-0.623955\pi\)
0.450550 + 0.892751i \(0.351228\pi\)
\(30\) −1.37995 + 2.38238i −0.251944 + 0.434961i
\(31\) −0.00687467 0.0478144i −0.00123473 0.00858771i 0.989195 0.146607i \(-0.0468354\pi\)
−0.990429 + 0.138020i \(0.955926\pi\)
\(32\) 0.877679 0.479249i 0.155153 0.0847201i
\(33\) −0.278502 3.89396i −0.0484809 0.677852i
\(34\) −3.06217 1.96794i −0.525158 0.337499i
\(35\) −2.31564 + 1.40698i −0.391415 + 0.237823i
\(36\) 0.971814 1.12153i 0.161969 0.186922i
\(37\) −3.33816 6.11338i −0.548790 1.00503i −0.993976 0.109596i \(-0.965044\pi\)
0.445186 0.895438i \(-0.353138\pi\)
\(38\) 1.06532 + 0.797485i 0.172817 + 0.129369i
\(39\) −4.78467 + 4.14594i −0.766160 + 0.663882i
\(40\) −2.23536 0.0563686i −0.353441 0.00891266i
\(41\) −7.66309 + 2.25009i −1.19677 + 0.351405i −0.818619 0.574337i \(-0.805260\pi\)
−0.378156 + 0.925742i \(0.623442\pi\)
\(42\) −1.39792 + 0.521396i −0.215703 + 0.0804532i
\(43\) −7.09311 9.47529i −1.08169 1.44497i −0.885639 0.464374i \(-0.846280\pi\)
−0.196050 0.980594i \(-0.562811\pi\)
\(44\) 2.66733 1.71419i 0.402116 0.258424i
\(45\) −3.13735 + 1.08089i −0.467689 + 0.161130i
\(46\) 3.82397 2.89435i 0.563814 0.426748i
\(47\) −0.789829 + 0.789829i −0.115208 + 0.115208i −0.762361 0.647152i \(-0.775960\pi\)
0.647152 + 0.762361i \(0.275960\pi\)
\(48\) −1.20312 0.261723i −0.173656 0.0377764i
\(49\) 5.47534 + 0.787235i 0.782191 + 0.112462i
\(50\) 4.26204 + 2.61438i 0.602744 + 0.369729i
\(51\) 1.26267 + 4.30025i 0.176809 + 0.602156i
\(52\) −4.81771 1.79691i −0.668097 0.249187i
\(53\) 10.3439 + 0.739812i 1.42085 + 0.101621i 0.760499 0.649339i \(-0.224954\pi\)
0.660348 + 0.750960i \(0.270409\pi\)
\(54\) −5.46477 + 0.785715i −0.743661 + 0.106922i
\(55\) −7.08226 + 0.327351i −0.954972 + 0.0441400i
\(56\) −0.915785 0.793533i −0.122377 0.106040i
\(57\) −0.348286 1.60105i −0.0461316 0.212064i
\(58\) −0.0892234 0.410153i −0.0117156 0.0538558i
\(59\) −1.43884 1.24677i −0.187322 0.162315i 0.556151 0.831081i \(-0.312277\pi\)
−0.743473 + 0.668766i \(0.766823\pi\)
\(60\) 2.03460 + 1.85483i 0.262666 + 0.239457i
\(61\) 3.22324 0.463432i 0.412693 0.0593364i 0.0671587 0.997742i \(-0.478607\pi\)
0.345535 + 0.938406i \(0.387698\pi\)
\(62\) −0.0481830 0.00344611i −0.00611924 0.000437657i
\(63\) −1.68487 0.628424i −0.212274 0.0791740i
\(64\) −0.281733 0.959493i −0.0352166 0.119937i
\(65\) 7.30793 + 8.87640i 0.906437 + 1.10098i
\(66\) −3.86417 0.555584i −0.475647 0.0683877i
\(67\) 4.80982 + 1.04631i 0.587613 + 0.127827i 0.496535 0.868017i \(-0.334605\pi\)
0.0910773 + 0.995844i \(0.470969\pi\)
\(68\) −2.57388 + 2.57388i −0.312128 + 0.312128i
\(69\) −5.89202 0.390022i −0.709315 0.0469531i
\(70\) 0.882599 + 2.56180i 0.105491 + 0.306193i
\(71\) −6.59587 + 4.23891i −0.782786 + 0.503066i −0.869957 0.493128i \(-0.835854\pi\)
0.0871715 + 0.996193i \(0.472217\pi\)
\(72\) −0.889329 1.18800i −0.104808 0.140008i
\(73\) 11.1774 4.16896i 1.30822 0.487940i 0.403901 0.914803i \(-0.367654\pi\)
0.904316 + 0.426863i \(0.140381\pi\)
\(74\) −6.68325 + 1.96238i −0.776912 + 0.228122i
\(75\) −1.85795 5.86924i −0.214537 0.677722i
\(76\) 1.00571 0.871452i 0.115363 0.0999624i
\(77\) −3.07574 2.30247i −0.350513 0.262391i
\(78\) 3.03414 + 5.55661i 0.343548 + 0.629162i
\(79\) 9.78605 11.2937i 1.10102 1.27064i 0.141210 0.989980i \(-0.454901\pi\)
0.959807 0.280662i \(-0.0905538\pi\)
\(80\) −0.530240 + 2.17229i −0.0592826 + 0.242869i
\(81\) 1.97336 + 1.26820i 0.219262 + 0.140911i
\(82\) 0.569758 + 7.96626i 0.0629193 + 0.879726i
\(83\) −5.45048 + 2.97619i −0.598268 + 0.326679i −0.749689 0.661790i \(-0.769797\pi\)
0.151421 + 0.988469i \(0.451615\pi\)
\(84\) 0.212332 + 1.47680i 0.0231673 + 0.161132i
\(85\) 7.86494 2.09551i 0.853072 0.227290i
\(86\) −10.7665 + 4.91689i −1.16098 + 0.530202i
\(87\) −0.247683 + 0.453598i −0.0265544 + 0.0486308i
\(88\) −1.10803 2.97075i −0.118117 0.316683i
\(89\) 0.260623 1.81268i 0.0276260 0.192143i −0.971335 0.237715i \(-0.923602\pi\)
0.998961 + 0.0455713i \(0.0145108\pi\)
\(90\) 0.389298 + 3.29541i 0.0410356 + 0.347367i
\(91\) 6.23075i 0.653160i
\(92\) −2.01536 4.35182i −0.210116 0.453709i
\(93\) 0.0420568 + 0.0420568i 0.00436108 + 0.00436108i
\(94\) 0.603889 + 0.939669i 0.0622864 + 0.0969195i
\(95\) −2.92265 + 0.559018i −0.299858 + 0.0573540i
\(96\) −0.511483 + 1.11999i −0.0522031 + 0.114309i
\(97\) −2.35850 1.28784i −0.239469 0.130760i 0.355034 0.934853i \(-0.384469\pi\)
−0.594503 + 0.804093i \(0.702651\pi\)
\(98\) 1.93311 5.18287i 0.195274 0.523549i
\(99\) −3.08130 3.55601i −0.309682 0.357392i
\(100\) 3.46060 3.60892i 0.346060 0.360892i
\(101\) 9.73371 + 2.85808i 0.968541 + 0.284389i 0.727486 0.686122i \(-0.240689\pi\)
0.241055 + 0.970512i \(0.422507\pi\)
\(102\) 4.47038 0.319728i 0.442633 0.0316578i
\(103\) 10.9932 2.39142i 1.08319 0.235634i 0.364669 0.931137i \(-0.381182\pi\)
0.718523 + 0.695503i \(0.244818\pi\)
\(104\) −2.77993 + 4.32565i −0.272594 + 0.424165i
\(105\) 1.24431 3.09545i 0.121432 0.302085i
\(106\) 2.92166 9.95027i 0.283777 0.966456i
\(107\) 1.80852 2.41590i 0.174836 0.233554i −0.704560 0.709644i \(-0.748856\pi\)
0.879396 + 0.476090i \(0.157946\pi\)
\(108\) −0.393861 + 5.50690i −0.0378993 + 0.529902i
\(109\) −7.43710 16.2850i −0.712345 1.55982i −0.824331 0.566108i \(-0.808449\pi\)
0.111986 0.993710i \(-0.464279\pi\)
\(110\) −1.18557 + 6.98999i −0.113040 + 0.666470i
\(111\) 7.80119 + 3.56269i 0.740457 + 0.338155i
\(112\) −0.970062 + 0.726179i −0.0916622 + 0.0686175i
\(113\) 0.835857 3.84237i 0.0786308 0.361460i −0.920972 0.389628i \(-0.872604\pi\)
0.999603 + 0.0281679i \(0.00896731\pi\)
\(114\) −1.63849 −0.153459
\(115\) −0.977831 + 10.6791i −0.0911832 + 0.995834i
\(116\) −0.419746 −0.0389724
\(117\) −1.62200 + 7.45622i −0.149954 + 0.689328i
\(118\) −1.52412 + 1.14094i −0.140307 + 0.105032i
\(119\) 4.01222 + 1.83232i 0.367799 + 0.167968i
\(120\) 2.24492 1.59383i 0.204933 0.145496i
\(121\) 0.393350 + 0.861316i 0.0357591 + 0.0783015i
\(122\) 0.232308 3.24809i 0.0210322 0.294068i
\(123\) 5.89305 7.87219i 0.531358 0.709811i
\(124\) −0.0136094 + 0.0463493i −0.00122216 + 0.00416229i
\(125\) −10.7407 + 3.10441i −0.960677 + 0.277667i
\(126\) −0.972208 + 1.51278i −0.0866111 + 0.134770i
\(127\) 12.7015 2.76305i 1.12708 0.245181i 0.389886 0.920863i \(-0.372515\pi\)
0.737193 + 0.675682i \(0.236151\pi\)
\(128\) −0.997452 + 0.0713392i −0.0881631 + 0.00630555i
\(129\) 13.9830 + 4.10577i 1.23113 + 0.361493i
\(130\) 10.2270 5.25410i 0.896964 0.460815i
\(131\) 7.88135 + 9.09556i 0.688597 + 0.794683i 0.987165 0.159705i \(-0.0510544\pi\)
−0.298568 + 0.954388i \(0.596509\pi\)
\(132\) −1.36428 + 3.65777i −0.118745 + 0.318368i
\(133\) −1.41529 0.772808i −0.122721 0.0670110i
\(134\) 2.04480 4.47749i 0.176644 0.386796i
\(135\) 6.93403 10.2139i 0.596787 0.879076i
\(136\) 1.96794 + 3.06217i 0.168749 + 0.262579i
\(137\) 7.15888 + 7.15888i 0.611624 + 0.611624i 0.943369 0.331745i \(-0.107637\pi\)
−0.331745 + 0.943369i \(0.607637\pi\)
\(138\) −1.63355 + 5.67446i −0.139057 + 0.483042i
\(139\) 6.26942i 0.531765i −0.964005 0.265883i \(-0.914337\pi\)
0.964005 0.265883i \(-0.0856633\pi\)
\(140\) 2.69086 0.317880i 0.227419 0.0268658i
\(141\) 0.195726 1.36130i 0.0164831 0.114642i
\(142\) 2.73998 + 7.34618i 0.229934 + 0.616477i
\(143\) −7.81333 + 14.3090i −0.653383 + 1.19658i
\(144\) −1.34990 + 0.616477i −0.112491 + 0.0513730i
\(145\) 0.812171 + 0.470437i 0.0674471 + 0.0390677i
\(146\) −1.69776 11.8081i −0.140507 0.977249i
\(147\) −5.97777 + 3.26411i −0.493038 + 0.269219i
\(148\) 0.496906 + 6.94765i 0.0408454 + 0.571093i
\(149\) −6.29025 4.04250i −0.515317 0.331174i 0.257000 0.966411i \(-0.417266\pi\)
−0.772317 + 0.635237i \(0.780902\pi\)
\(150\) −6.13005 + 0.567890i −0.500516 + 0.0463680i
\(151\) 4.15764 4.79818i 0.338344 0.390470i −0.560924 0.827867i \(-0.689554\pi\)
0.899268 + 0.437397i \(0.144100\pi\)
\(152\) −0.637758 1.16797i −0.0517290 0.0947346i
\(153\) 4.32435 + 3.23717i 0.349603 + 0.261710i
\(154\) −2.90365 + 2.51603i −0.233983 + 0.202747i
\(155\) 0.0782797 0.0744289i 0.00628758 0.00597827i
\(156\) 6.07457 1.78366i 0.486355 0.142807i
\(157\) −20.0250 + 7.46894i −1.59817 + 0.596087i −0.981555 0.191179i \(-0.938769\pi\)
−0.616615 + 0.787265i \(0.711496\pi\)
\(158\) −8.95543 11.9631i −0.712456 0.951730i
\(159\) −10.7416 + 6.90322i −0.851865 + 0.547461i
\(160\) 2.00994 + 0.979876i 0.158899 + 0.0774660i
\(161\) −4.08743 + 4.13100i −0.322134 + 0.325568i
\(162\) 1.65868 1.65868i 0.130319 0.130319i
\(163\) −18.5356 4.03217i −1.45182 0.315824i −0.583616 0.812030i \(-0.698363\pi\)
−0.868205 + 0.496206i \(0.834726\pi\)
\(164\) 7.90532 + 1.13661i 0.617301 + 0.0887545i
\(165\) 6.73926 5.54842i 0.524650 0.431944i
\(166\) 1.74959 + 5.95856i 0.135795 + 0.462474i
\(167\) −5.92884 2.21134i −0.458787 0.171119i 0.109435 0.993994i \(-0.465096\pi\)
−0.568222 + 0.822875i \(0.692369\pi\)
\(168\) 1.48819 + 0.106437i 0.114816 + 0.00821181i
\(169\) 13.3025 1.91261i 1.02327 0.147124i
\(170\) −0.375808 8.13063i −0.0288231 0.623591i
\(171\) −1.49247 1.29324i −0.114132 0.0988963i
\(172\) 2.51594 + 11.5656i 0.191839 + 0.881869i
\(173\) 4.47160 + 20.5556i 0.339969 + 1.56281i 0.756686 + 0.653778i \(0.226817\pi\)
−0.416717 + 0.909036i \(0.636819\pi\)
\(174\) 0.390583 + 0.338442i 0.0296100 + 0.0256572i
\(175\) −5.56285 2.40076i −0.420512 0.181480i
\(176\) −3.13839 + 0.451233i −0.236565 + 0.0340129i
\(177\) 2.33818 + 0.167230i 0.175748 + 0.0125698i
\(178\) −1.71585 0.639979i −0.128608 0.0479685i
\(179\) 4.10434 + 13.9781i 0.306773 + 1.04477i 0.958209 + 0.286069i \(0.0923488\pi\)
−0.651436 + 0.758704i \(0.725833\pi\)
\(180\) 3.30285 + 0.320090i 0.246180 + 0.0238581i
\(181\) −23.5541 3.38657i −1.75076 0.251722i −0.808954 0.587872i \(-0.799966\pi\)
−0.941808 + 0.336150i \(0.890875\pi\)
\(182\) 6.08836 + 1.32444i 0.451299 + 0.0981741i
\(183\) −2.83511 + 2.83511i −0.209577 + 0.209577i
\(184\) −4.68076 + 1.04426i −0.345070 + 0.0769836i
\(185\) 6.82523 14.0000i 0.501801 1.02930i
\(186\) 0.0500354 0.0321558i 0.00366878 0.00235778i
\(187\) 6.91642 + 9.23925i 0.505779 + 0.675641i
\(188\) 1.04656 0.390347i 0.0763283 0.0284690i
\(189\) 6.41908 1.88481i 0.466919 0.137100i
\(190\) −0.0750122 + 2.97469i −0.00544196 + 0.215807i
\(191\) −13.6299 + 11.8104i −0.986228 + 0.854571i −0.989369 0.145424i \(-0.953545\pi\)
0.00314163 + 0.999995i \(0.499000\pi\)
\(192\) 0.985673 + 0.737866i 0.0711349 + 0.0532509i
\(193\) 0.282576 + 0.517500i 0.0203403 + 0.0372504i 0.887651 0.460516i \(-0.152336\pi\)
−0.867311 + 0.497766i \(0.834154\pi\)
\(194\) −1.75974 + 2.03085i −0.126342 + 0.145806i
\(195\) −13.7528 3.35696i −0.984860 0.240397i
\(196\) −4.65351 2.99063i −0.332394 0.213617i
\(197\) −1.53141 21.4119i −0.109109 1.52554i −0.697279 0.716800i \(-0.745606\pi\)
0.588171 0.808737i \(-0.299848\pi\)
\(198\) −4.12972 + 2.25500i −0.293486 + 0.160256i
\(199\) 2.94488 + 20.4821i 0.208757 + 1.45194i 0.777220 + 0.629229i \(0.216629\pi\)
−0.568463 + 0.822709i \(0.692462\pi\)
\(200\) −2.79084 4.14864i −0.197342 0.293353i
\(201\) −5.51295 + 2.51768i −0.388853 + 0.177583i
\(202\) 4.86181 8.90374i 0.342076 0.626465i
\(203\) 0.177748 + 0.476561i 0.0124755 + 0.0334480i
\(204\) 0.637826 4.43618i 0.0446568 0.310595i
\(205\) −14.0222 11.0593i −0.979354 0.772412i
\(206\) 11.2503i 0.783846i
\(207\) −5.96674 + 3.87944i −0.414717 + 0.269640i
\(208\) 3.63588 + 3.63588i 0.252103 + 0.252103i
\(209\) −2.28115 3.54954i −0.157790 0.245527i
\(210\) −2.76022 1.87386i −0.190473 0.129308i
\(211\) 10.6549 23.3309i 0.733511 1.60617i −0.0604304 0.998172i \(-0.519247\pi\)
0.793942 0.607994i \(-0.208025\pi\)
\(212\) −9.10183 4.96998i −0.625117 0.341339i
\(213\) 3.37363 9.04504i 0.231157 0.619756i
\(214\) −1.97626 2.28073i −0.135095 0.155907i
\(215\) 8.09421 25.1982i 0.552021 1.71850i
\(216\) 5.29733 + 1.55544i 0.360438 + 0.105834i
\(217\) 0.0583861 0.00417585i 0.00396351 0.000283476i
\(218\) −17.4937 + 3.80552i −1.18482 + 0.257742i
\(219\) −7.94114 + 12.3567i −0.536613 + 0.834986i
\(220\) 6.57824 + 2.64431i 0.443505 + 0.178279i
\(221\) 5.27308 17.9585i 0.354706 1.20802i
\(222\) 5.13953 6.86561i 0.344943 0.460790i
\(223\) 0.552974 7.73159i 0.0370299 0.517745i −0.944758 0.327767i \(-0.893704\pi\)
0.981788 0.189978i \(-0.0608417\pi\)
\(224\) 0.503382 + 1.10225i 0.0336336 + 0.0736474i
\(225\) −6.03199 4.32107i −0.402132 0.288072i
\(226\) −3.57689 1.63351i −0.237931 0.108659i
\(227\) 2.40772 1.80240i 0.159806 0.119629i −0.516382 0.856358i \(-0.672722\pi\)
0.676188 + 0.736729i \(0.263631\pi\)
\(228\) −0.348286 + 1.60105i −0.0230658 + 0.106032i
\(229\) 8.82281 0.583028 0.291514 0.956567i \(-0.405841\pi\)
0.291514 + 0.956567i \(0.405841\pi\)
\(230\) 10.2272 + 3.22550i 0.674363 + 0.212683i
\(231\) 4.73059 0.311250
\(232\) −0.0892234 + 0.410153i −0.00585780 + 0.0269279i
\(233\) −6.31698 + 4.72883i −0.413839 + 0.309796i −0.785833 0.618439i \(-0.787765\pi\)
0.371993 + 0.928235i \(0.378674\pi\)
\(234\) 6.94104 + 3.16987i 0.453750 + 0.207221i
\(235\) −2.46249 0.417663i −0.160635 0.0272453i
\(236\) 0.790894 + 1.73182i 0.0514828 + 0.112732i
\(237\) −1.31261 + 18.3527i −0.0852633 + 1.19214i
\(238\) 2.64330 3.53104i 0.171340 0.228883i
\(239\) −1.70779 + 5.81620i −0.110468 + 0.376219i −0.996107 0.0881559i \(-0.971903\pi\)
0.885639 + 0.464374i \(0.153721\pi\)
\(240\) −1.08022 2.53241i −0.0697276 0.163467i
\(241\) 0.603307 0.938764i 0.0388624 0.0604711i −0.821279 0.570527i \(-0.806739\pi\)
0.860141 + 0.510056i \(0.170375\pi\)
\(242\) 0.925245 0.201275i 0.0594770 0.0129384i
\(243\) 13.6399 0.975542i 0.874997 0.0625810i
\(244\) −3.12448 0.917429i −0.200024 0.0587324i
\(245\) 5.65234 + 11.0021i 0.361115 + 0.702899i
\(246\) −6.43963 7.43172i −0.410576 0.473829i
\(247\) −2.39123 + 6.41114i −0.152151 + 0.407931i
\(248\) 0.0423972 + 0.0231506i 0.00269223 + 0.00147007i
\(249\) 3.17637 6.95528i 0.201294 0.440773i
\(250\) 0.750365 + 11.1551i 0.0474573 + 0.705512i
\(251\) −14.8573 23.1184i −0.937785 1.45922i −0.887671 0.460479i \(-0.847678\pi\)
−0.0501147 0.998743i \(-0.515959\pi\)
\(252\) 1.27156 + 1.27156i 0.0801004 + 0.0801004i
\(253\) −14.5671 + 4.36130i −0.915826 + 0.274193i
\(254\) 12.9986i 0.815604i
\(255\) −6.20606 + 7.86876i −0.388638 + 0.492761i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −0.341693 0.916115i −0.0213142 0.0571457i 0.925857 0.377874i \(-0.123345\pi\)
−0.947171 + 0.320729i \(0.896072\pi\)
\(258\) 6.98424 12.7907i 0.434820 0.796313i
\(259\) 7.67764 3.50626i 0.477065 0.217868i
\(260\) −2.96014 11.1101i −0.183580 0.689018i
\(261\) 0.0886484 + 0.616563i 0.00548720 + 0.0381643i
\(262\) 10.5630 5.76783i 0.652584 0.356338i
\(263\) −0.485451 6.78749i −0.0299342 0.418535i −0.990220 0.139516i \(-0.955445\pi\)
0.960286 0.279019i \(-0.0900092\pi\)
\(264\) 3.28418 + 2.11061i 0.202127 + 0.129899i
\(265\) 12.0411 + 19.8175i 0.739677 + 1.21738i
\(266\) −1.05599 + 1.21868i −0.0647468 + 0.0747218i
\(267\) 1.08062 + 1.97901i 0.0661330 + 0.121114i
\(268\) −3.94051 2.94983i −0.240705 0.180189i
\(269\) −11.2785 + 9.77286i −0.687661 + 0.595862i −0.926994 0.375076i \(-0.877617\pi\)
0.239333 + 0.970938i \(0.423071\pi\)
\(270\) −8.50658 8.94670i −0.517694 0.544479i
\(271\) 0.0740959 0.0217565i 0.00450100 0.00132161i −0.279481 0.960151i \(-0.590162\pi\)
0.283982 + 0.958830i \(0.408344\pi\)
\(272\) 3.41051 1.27205i 0.206792 0.0771296i
\(273\) −4.59746 6.14149i −0.278251 0.371700i
\(274\) 8.51700 5.47355i 0.514531 0.330669i
\(275\) −9.76466 12.4892i −0.588831 0.753125i
\(276\) 5.19754 + 2.80241i 0.312855 + 0.168685i
\(277\) −22.3713 + 22.3713i −1.34416 + 1.34416i −0.452291 + 0.891871i \(0.649393\pi\)
−0.891871 + 0.452291i \(0.850607\pi\)
\(278\) −6.12614 1.33266i −0.367422 0.0799277i
\(279\) 0.0709566 + 0.0102020i 0.00424806 + 0.000610779i
\(280\) 0.261368 2.69694i 0.0156197 0.161173i
\(281\) 3.03938 + 10.3512i 0.181314 + 0.617500i 0.999118 + 0.0420020i \(0.0133736\pi\)
−0.817803 + 0.575498i \(0.804808\pi\)
\(282\) −1.28859 0.480618i −0.0767342 0.0286204i
\(283\) −9.13376 0.653259i −0.542946 0.0388322i −0.202827 0.979215i \(-0.565013\pi\)
−0.340119 + 0.940382i \(0.610467\pi\)
\(284\) 7.76072 1.11582i 0.460514 0.0662119i
\(285\) 2.46830 2.70754i 0.146210 0.160381i
\(286\) 12.3212 + 10.6764i 0.728568 + 0.631307i
\(287\) −2.05717 9.45666i −0.121431 0.558209i
\(288\) 0.315447 + 1.45009i 0.0185879 + 0.0854472i
\(289\) 2.83430 + 2.45593i 0.166724 + 0.144467i
\(290\) 0.632325 0.693612i 0.0371314 0.0407303i
\(291\) 3.27496 0.470868i 0.191981 0.0276028i
\(292\) −11.8992 0.851046i −0.696347 0.0498037i
\(293\) −30.0821 11.2200i −1.75742 0.655482i −0.999997 0.00255239i \(-0.999188\pi\)
−0.757419 0.652930i \(-0.773540\pi\)
\(294\) 1.91885 + 6.53500i 0.111909 + 0.381129i
\(295\) 0.410651 4.23732i 0.0239090 0.246706i
\(296\) 6.89450 + 0.991280i 0.400735 + 0.0576170i
\(297\) 17.1051 + 3.72098i 0.992538 + 0.215913i
\(298\) −5.28720 + 5.28720i −0.306279 + 0.306279i
\(299\) 19.8192 + 14.6732i 1.14617 + 0.848572i
\(300\) −0.748123 + 6.11067i −0.0431929 + 0.352800i
\(301\) 12.0657 7.75413i 0.695453 0.446941i
\(302\) −3.80475 5.08255i −0.218939 0.292468i
\(303\) −11.7031 + 4.36505i −0.672328 + 0.250765i
\(304\) −1.27684 + 0.374914i −0.0732318 + 0.0215028i
\(305\) 5.01736 + 5.27695i 0.287293 + 0.302158i
\(306\) 4.08240 3.53742i 0.233375 0.202221i
\(307\) 15.0488 + 11.2654i 0.858882 + 0.642951i 0.935195 0.354133i \(-0.115224\pi\)
−0.0763127 + 0.997084i \(0.524315\pi\)
\(308\) 1.84131 + 3.37211i 0.104918 + 0.192144i
\(309\) −9.07116 + 10.4687i −0.516040 + 0.595542i
\(310\) −0.0560884 0.0923118i −0.00318561 0.00524296i
\(311\) 21.3640 + 13.7298i 1.21144 + 0.778548i 0.980900 0.194514i \(-0.0623130\pi\)
0.230544 + 0.973062i \(0.425949\pi\)
\(312\) −0.451650 6.31489i −0.0255697 0.357510i
\(313\) −4.97042 + 2.71406i −0.280945 + 0.153407i −0.613543 0.789661i \(-0.710256\pi\)
0.332599 + 0.943069i \(0.392075\pi\)
\(314\) 3.04163 + 21.1550i 0.171649 + 1.19385i
\(315\) −1.03523 3.88546i −0.0583286 0.218921i
\(316\) −13.5933 + 6.20784i −0.764682 + 0.349218i
\(317\) 4.16492 7.62748i 0.233925 0.428402i −0.734177 0.678958i \(-0.762432\pi\)
0.968102 + 0.250556i \(0.0806135\pi\)
\(318\) 4.46216 + 11.9635i 0.250226 + 0.670881i
\(319\) −0.189403 + 1.31733i −0.0106045 + 0.0737561i
\(320\) 1.38473 1.75572i 0.0774085 0.0981475i
\(321\) 3.71574i 0.207392i
\(322\) 3.16774 + 4.87212i 0.176532 + 0.271513i
\(323\) 3.42517 + 3.42517i 0.190582 + 0.190582i
\(324\) −1.26820 1.97336i −0.0704555 0.109631i
\(325\) −6.72420 + 24.8146i −0.372992 + 1.37647i
\(326\) −7.88005 + 17.2549i −0.436436 + 0.955661i
\(327\) 19.3467 + 10.5641i 1.06987 + 0.584195i
\(328\) 2.79103 7.48305i 0.154109 0.413182i
\(329\) −0.886365 1.02292i −0.0488669 0.0563954i
\(330\) −3.98909 7.76464i −0.219592 0.427430i
\(331\) 26.2869 + 7.71854i 1.44486 + 0.424249i 0.907839 0.419319i \(-0.137731\pi\)
0.537022 + 0.843568i \(0.319549\pi\)
\(332\) 6.19429 0.443024i 0.339956 0.0243141i
\(333\) 10.1004 2.19722i 0.553501 0.120407i
\(334\) −3.42107 + 5.32329i −0.187193 + 0.291278i
\(335\) 4.31847 + 10.1240i 0.235943 + 0.553136i
\(336\) 0.420341 1.43155i 0.0229315 0.0780975i
\(337\) 9.75289 13.0283i 0.531274 0.709699i −0.451962 0.892037i \(-0.649276\pi\)
0.983236 + 0.182338i \(0.0583667\pi\)
\(338\) 0.958746 13.4050i 0.0521489 0.729137i
\(339\) 2.01127 + 4.40407i 0.109237 + 0.239196i
\(340\) −8.02471 1.36107i −0.435201 0.0738144i
\(341\) 0.139321 + 0.0636259i 0.00754467 + 0.00344554i
\(342\) −1.58093 + 1.18347i −0.0854869 + 0.0639947i
\(343\) −3.22787 + 14.8383i −0.174289 + 0.801192i
\(344\) 11.8361 0.638160
\(345\) −6.91594 11.2476i −0.372342 0.605553i
\(346\) 21.0364 1.13092
\(347\) 5.51954 25.3729i 0.296304 1.36209i −0.552558 0.833475i \(-0.686348\pi\)
0.848862 0.528615i \(-0.177288\pi\)
\(348\) 0.413732 0.309716i 0.0221784 0.0166025i
\(349\) −7.99964 3.65331i −0.428211 0.195557i 0.189638 0.981854i \(-0.439268\pi\)
−0.617849 + 0.786297i \(0.711996\pi\)
\(350\) −3.52836 + 4.92540i −0.188599 + 0.263274i
\(351\) −11.7929 25.8229i −0.629460 1.37833i
\(352\) −0.226193 + 3.16259i −0.0120561 + 0.168566i
\(353\) −3.54542 + 4.73613i −0.188704 + 0.252079i −0.884909 0.465764i \(-0.845780\pi\)
0.696205 + 0.717843i \(0.254870\pi\)
\(354\) 0.660423 2.24920i 0.0351011 0.119543i
\(355\) −16.2669 6.53893i −0.863356 0.347051i
\(356\) −0.990084 + 1.54060i −0.0524743 + 0.0816517i
\(357\) −5.30674 + 1.15441i −0.280862 + 0.0610979i
\(358\) 14.5311 1.03929i 0.767993 0.0549279i
\(359\) 12.6602 + 3.71736i 0.668178 + 0.196195i 0.598191 0.801353i \(-0.295886\pi\)
0.0699863 + 0.997548i \(0.477704\pi\)
\(360\) 1.01485 3.15933i 0.0534871 0.166512i
\(361\) 11.2827 + 13.0209i 0.593825 + 0.685311i
\(362\) −8.31596 + 22.2959i −0.437077 + 1.17185i
\(363\) −1.02325 0.558737i −0.0537067 0.0293261i
\(364\) 2.58835 5.66769i 0.135666 0.297068i
\(365\) 22.0700 + 14.9829i 1.15520 + 0.784241i
\(366\) 2.16767 + 3.37297i 0.113306 + 0.176308i
\(367\) −19.3819 19.3819i −1.01173 1.01173i −0.999930 0.0117981i \(-0.996244\pi\)
−0.0117981 0.999930i \(-0.503756\pi\)
\(368\) 0.0254238 + 4.79576i 0.00132530 + 0.249996i
\(369\) 11.8521i 0.616998i
\(370\) −12.2293 9.64516i −0.635769 0.501428i
\(371\) −1.78838 + 12.4384i −0.0928479 + 0.645772i
\(372\) −0.0207852 0.0557272i −0.00107766 0.00288932i
\(373\) −12.8328 + 23.5016i −0.664459 + 1.21687i 0.300329 + 0.953836i \(0.402904\pi\)
−0.964788 + 0.263030i \(0.915278\pi\)
\(374\) 10.4983 4.79441i 0.542854 0.247913i
\(375\) 8.29618 10.9851i 0.428413 0.567270i
\(376\) −0.158964 1.10562i −0.00819793 0.0570179i
\(377\) 1.89429 1.03436i 0.0975609 0.0532723i
\(378\) −0.477264 6.67303i −0.0245478 0.343224i
\(379\) −14.4150 9.26396i −0.740449 0.475858i 0.115247 0.993337i \(-0.463234\pi\)
−0.855696 + 0.517479i \(0.826870\pi\)
\(380\) 2.89076 + 0.705614i 0.148293 + 0.0361972i
\(381\) −10.4808 + 12.0955i −0.536948 + 0.619671i
\(382\) 8.64325 + 15.8289i 0.442227 + 0.809879i
\(383\) −6.31451 4.72698i −0.322656 0.241538i 0.425654 0.904886i \(-0.360044\pi\)
−0.748311 + 0.663348i \(0.769135\pi\)
\(384\) 0.930523 0.806303i 0.0474856 0.0411465i
\(385\) 0.216573 8.58842i 0.0110376 0.437706i
\(386\) 0.565739 0.166116i 0.0287954 0.00845508i
\(387\) 16.4573 6.13827i 0.836573 0.312026i
\(388\) 1.61038 + 2.15121i 0.0817545 + 0.109211i
\(389\) 13.5196 8.68853i 0.685472 0.440526i −0.151001 0.988534i \(-0.548250\pi\)
0.836473 + 0.548007i \(0.184613\pi\)
\(390\) −6.20362 + 12.7250i −0.314132 + 0.644353i
\(391\) 15.2770 8.44730i 0.772590 0.427198i
\(392\) −3.91146 + 3.91146i −0.197559 + 0.197559i
\(393\) −14.4797 3.14987i −0.730406 0.158890i
\(394\) −21.2481 3.05502i −1.07047 0.153910i
\(395\) 33.2593 + 3.22326i 1.67346 + 0.162180i
\(396\) 1.32563 + 4.51468i 0.0666153 + 0.226871i
\(397\) −14.6989 5.48239i −0.737715 0.275153i −0.0476130 0.998866i \(-0.515161\pi\)
−0.690102 + 0.723713i \(0.742434\pi\)
\(398\) 20.6400 + 1.47620i 1.03459 + 0.0739953i
\(399\) 1.96524 0.282560i 0.0983853 0.0141457i
\(400\) −4.64707 + 1.84520i −0.232353 + 0.0922600i
\(401\) −7.31309 6.33683i −0.365198 0.316446i 0.452860 0.891582i \(-0.350404\pi\)
−0.818058 + 0.575136i \(0.804949\pi\)
\(402\) 1.28828 + 5.92213i 0.0642536 + 0.295369i
\(403\) −0.0527981 0.242709i −0.00263006 0.0120902i
\(404\) −7.66681 6.64333i −0.381438 0.330518i
\(405\) 0.242182 + 5.23963i 0.0120341 + 0.260359i
\(406\) 0.503453 0.0723856i 0.0249860 0.00359244i
\(407\) 22.0287 + 1.57552i 1.09192 + 0.0780957i
\(408\) −4.19922 1.56623i −0.207892 0.0775398i
\(409\) −2.00025 6.81224i −0.0989062 0.336844i 0.895143 0.445780i \(-0.147074\pi\)
−0.994049 + 0.108937i \(0.965255\pi\)
\(410\) −13.7872 + 11.3509i −0.680899 + 0.560583i
\(411\) −12.3386 1.77402i −0.608619 0.0875062i
\(412\) −10.9932 2.39142i −0.541596 0.117817i
\(413\) 1.63131 1.63131i 0.0802716 0.0802716i
\(414\) 2.52246 + 6.65501i 0.123972 + 0.327076i
\(415\) −12.4819 6.08514i −0.612714 0.298708i
\(416\) 4.32565 2.77993i 0.212083 0.136297i
\(417\) 4.62599 + 6.17960i 0.226536 + 0.302616i
\(418\) −3.95331 + 1.47451i −0.193363 + 0.0721206i
\(419\) −3.58100 + 1.05148i −0.174943 + 0.0513680i −0.368031 0.929814i \(-0.619968\pi\)
0.193088 + 0.981181i \(0.438150\pi\)
\(420\) −2.41776 + 2.29882i −0.117975 + 0.112171i
\(421\) 8.27799 7.17292i 0.403445 0.349587i −0.429380 0.903124i \(-0.641268\pi\)
0.832824 + 0.553537i \(0.186722\pi\)
\(422\) −20.5329 15.3707i −0.999524 0.748235i
\(423\) −0.794408 1.45485i −0.0386254 0.0707372i
\(424\) −6.79113 + 7.83738i −0.329807 + 0.380617i
\(425\) 14.0017 + 11.6274i 0.679180 + 0.564010i
\(426\) −8.12122 5.21919i −0.393474 0.252871i
\(427\) 0.281501 + 3.93589i 0.0136228 + 0.190471i
\(428\) −2.64869 + 1.44629i −0.128029 + 0.0699093i
\(429\) −2.85676 19.8692i −0.137926 0.959296i
\(430\) −22.9018 13.2655i −1.10442 0.639719i
\(431\) −5.78004 + 2.63966i −0.278415 + 0.127148i −0.549729 0.835343i \(-0.685269\pi\)
0.271314 + 0.962491i \(0.412542\pi\)
\(432\) 2.64592 4.84564i 0.127302 0.233136i
\(433\) 3.96952 + 10.6427i 0.190763 + 0.511455i 0.996757 0.0804685i \(-0.0256416\pi\)
−0.805994 + 0.591923i \(0.798369\pi\)
\(434\) 0.00833043 0.0579394i 0.000399873 0.00278118i
\(435\) −1.14765 + 0.135576i −0.0550258 + 0.00650038i
\(436\) 17.9028i 0.857389i
\(437\) −5.79116 + 2.68193i −0.277029 + 0.128294i
\(438\) 10.3863 + 10.3863i 0.496275 + 0.496275i
\(439\) 6.15393 + 9.57570i 0.293711 + 0.457023i 0.956479 0.291802i \(-0.0942547\pi\)
−0.662768 + 0.748825i \(0.730618\pi\)
\(440\) 3.98218 5.86582i 0.189843 0.279642i
\(441\) −3.41013 + 7.46714i −0.162387 + 0.355578i
\(442\) −16.4272 8.96992i −0.781361 0.426656i
\(443\) 7.39932 19.8383i 0.351552 0.942548i −0.634024 0.773314i \(-0.718598\pi\)
0.985576 0.169234i \(-0.0541294\pi\)
\(444\) −5.61622 6.48147i −0.266534 0.307597i
\(445\) 3.64238 1.87127i 0.172665 0.0887069i
\(446\) −7.43735 2.18380i −0.352169 0.103406i
\(447\) 9.18295 0.656778i 0.434339 0.0310645i
\(448\) 1.18407 0.257578i 0.0559418 0.0121694i
\(449\) 16.3926 25.5074i 0.773616 1.20377i −0.200935 0.979605i \(-0.564398\pi\)
0.974551 0.224165i \(-0.0719655\pi\)
\(450\) −5.50451 + 4.97563i −0.259485 + 0.234553i
\(451\) 7.13427 24.2971i 0.335940 1.14411i
\(452\) −2.35650 + 3.14792i −0.110840 + 0.148066i
\(453\) −0.557668 + 7.79722i −0.0262015 + 0.366345i
\(454\) −1.24941 2.73582i −0.0586376 0.128399i
\(455\) −11.3604 + 8.06555i −0.532583 + 0.378119i
\(456\) 1.49042 + 0.680654i 0.0697955 + 0.0318745i
\(457\) −3.37593 + 2.52719i −0.157919 + 0.118217i −0.675315 0.737529i \(-0.735992\pi\)
0.517396 + 0.855746i \(0.326901\pi\)
\(458\) 1.87542 8.62118i 0.0876327 0.402841i
\(459\) −20.0964 −0.938019
\(460\) 5.32574 9.30787i 0.248314 0.433982i
\(461\) −34.8411 −1.62271 −0.811355 0.584554i \(-0.801269\pi\)
−0.811355 + 0.584554i \(0.801269\pi\)
\(462\) 1.00556 4.62248i 0.0467829 0.215057i
\(463\) 26.5222 19.8543i 1.23259 0.922706i 0.233820 0.972280i \(-0.424877\pi\)
0.998770 + 0.0495744i \(0.0157865\pi\)
\(464\) 0.381814 + 0.174369i 0.0177253 + 0.00809486i
\(465\) −0.0222397 + 0.131123i −0.00103134 + 0.00608066i
\(466\) 3.27799 + 7.17780i 0.151850 + 0.332505i
\(467\) −1.67331 + 23.3960i −0.0774317 + 1.08264i 0.799070 + 0.601238i \(0.205326\pi\)
−0.876502 + 0.481399i \(0.840129\pi\)
\(468\) 4.57285 6.10861i 0.211380 0.282371i
\(469\) −1.68043 + 5.72303i −0.0775952 + 0.264265i
\(470\) −0.931558 + 2.31743i −0.0429696 + 0.106895i
\(471\) 14.2270 22.1377i 0.655548 1.02005i
\(472\) 1.86036 0.404696i 0.0856298 0.0186276i
\(473\) 37.4327 2.67724i 1.72116 0.123100i
\(474\) 17.6543 + 5.18376i 0.810887 + 0.238098i
\(475\) −4.80254 4.60517i −0.220356 0.211300i
\(476\) −2.88847 3.33347i −0.132393 0.152789i
\(477\) −5.37812 + 14.4193i −0.246247 + 0.660214i
\(478\) 5.32026 + 2.90508i 0.243343 + 0.132875i
\(479\) 3.27451 7.17018i 0.149616 0.327614i −0.819953 0.572431i \(-0.806001\pi\)
0.969569 + 0.244817i \(0.0787278\pi\)
\(480\) −2.70416 + 0.517226i −0.123427 + 0.0236080i
\(481\) −19.3633 30.1299i −0.882891 1.37380i
\(482\) −0.789068 0.789068i −0.0359411 0.0359411i
\(483\) 0.980748 7.08779i 0.0446256 0.322506i
\(484\) 0.946884i 0.0430402i
\(485\) −0.704931 5.96726i −0.0320093 0.270959i
\(486\) 1.94611 13.5355i 0.0882774 0.613983i
\(487\) −4.88996 13.1105i −0.221585 0.594093i 0.777823 0.628483i \(-0.216324\pi\)
−0.999408 + 0.0343902i \(0.989051\pi\)
\(488\) −1.56062 + 2.85806i −0.0706459 + 0.129378i
\(489\) 21.2453 9.70238i 0.960744 0.438757i
\(490\) 11.9522 3.18450i 0.539944 0.143861i
\(491\) 3.99479 + 27.7843i 0.180282 + 1.25389i 0.856096 + 0.516817i \(0.172883\pi\)
−0.675813 + 0.737073i \(0.736208\pi\)
\(492\) −8.63073 + 4.71273i −0.389103 + 0.212466i
\(493\) −0.108998 1.52399i −0.00490901 0.0686369i
\(494\) 5.75634 + 3.69937i 0.258990 + 0.166443i
\(495\) 2.49492 10.2212i 0.112138 0.459410i
\(496\) 0.0316337 0.0365073i 0.00142040 0.00163923i
\(497\) −4.55326 8.33867i −0.204241 0.374040i
\(498\) −6.12114 4.58223i −0.274295 0.205335i
\(499\) −30.1269 + 26.1051i −1.34867 + 1.16863i −0.378664 + 0.925534i \(0.623616\pi\)
−0.970003 + 0.243092i \(0.921838\pi\)
\(500\) 11.0597 + 1.63798i 0.494605 + 0.0732525i
\(501\) 7.47557 2.19503i 0.333984 0.0980665i
\(502\) −25.7483 + 9.60360i −1.14920 + 0.428630i
\(503\) −1.93772 2.58849i −0.0863985 0.115415i 0.755259 0.655426i \(-0.227511\pi\)
−0.841658 + 0.540011i \(0.818420\pi\)
\(504\) 1.51278 0.972208i 0.0673848 0.0433056i
\(505\) 7.38898 + 21.4470i 0.328805 + 0.954377i
\(506\) 1.16517 + 15.1613i 0.0517982 + 0.674001i
\(507\) −11.7006 + 11.7006i −0.519644 + 0.519644i
\(508\) −12.7015 2.76305i −0.563539 0.122590i
\(509\) −36.6949 5.27593i −1.62647 0.233851i −0.732107 0.681190i \(-0.761463\pi\)
−0.894365 + 0.447338i \(0.852372\pi\)
\(510\) 6.36974 + 7.73685i 0.282057 + 0.342594i
\(511\) 4.07266 + 13.8702i 0.180164 + 0.613581i
\(512\) 0.936950 + 0.349464i 0.0414077 + 0.0154443i
\(513\) 7.32828 + 0.524129i 0.323551 + 0.0231408i
\(514\) −0.967811 + 0.139150i −0.0426883 + 0.00613766i
\(515\) 18.5906 + 16.9480i 0.819202 + 0.746818i
\(516\) −11.0138 9.54348i −0.484854 0.420128i
\(517\) −0.752819 3.46065i −0.0331090 0.152199i
\(518\) −1.79413 8.24749i −0.0788296 0.362374i
\(519\) −19.5748 16.9617i −0.859239 0.744535i
\(520\) −11.4854 + 0.530869i −0.503668 + 0.0232802i
\(521\) −18.2694 + 2.62675i −0.800398 + 0.115080i −0.530363 0.847771i \(-0.677944\pi\)
−0.270035 + 0.962851i \(0.587035\pi\)
\(522\) 0.621316 + 0.0444374i 0.0271943 + 0.00194497i
\(523\) 28.2794 + 10.5477i 1.23657 + 0.461217i 0.880859 0.473379i \(-0.156966\pi\)
0.355712 + 0.934596i \(0.384239\pi\)
\(524\) −3.39069 11.5476i −0.148123 0.504461i
\(525\) 7.25459 1.73827i 0.316616 0.0758645i
\(526\) −6.73556 0.968428i −0.293685 0.0422255i
\(527\) −0.171816 0.0373763i −0.00748443 0.00162814i
\(528\) 2.76048 2.76048i 0.120135 0.120135i
\(529\) 3.51443 + 22.7299i 0.152801 + 0.988257i
\(530\) 21.9241 7.55337i 0.952323 0.328098i
\(531\) 2.37683 1.52749i 0.103145 0.0662876i
\(532\) 0.966359 + 1.29090i 0.0418970 + 0.0559678i
\(533\) −38.4772 + 14.3512i −1.66663 + 0.621621i
\(534\) 2.16349 0.635257i 0.0936233 0.0274903i
\(535\) 6.74594 + 0.170111i 0.291652 + 0.00735455i
\(536\) −3.72003 + 3.22343i −0.160681 + 0.139231i
\(537\) −14.3595 10.7494i −0.619659 0.463871i
\(538\) 7.15211 + 13.0981i 0.308349 + 0.564699i
\(539\) −11.4856 + 13.2551i −0.494720 + 0.570937i
\(540\) −10.5504 + 6.41042i −0.454019 + 0.275861i
\(541\) −23.9270 15.3769i −1.02870 0.661106i −0.0865334 0.996249i \(-0.527579\pi\)
−0.942167 + 0.335143i \(0.891215\pi\)
\(542\) −0.00550910 0.0770272i −0.000236636 0.00330860i
\(543\) 25.7155 14.0417i 1.10356 0.602588i
\(544\) −0.518028 3.60296i −0.0222103 0.154476i
\(545\) 20.0649 34.6404i 0.859485 1.48383i
\(546\) −6.97839 + 3.18693i −0.298648 + 0.136388i
\(547\) 13.5791 24.8682i 0.580599 1.06329i −0.408038 0.912965i \(-0.633787\pi\)
0.988637 0.150323i \(-0.0480314\pi\)
\(548\) −3.53804 9.48585i −0.151138 0.405215i
\(549\) −0.687734 + 4.78329i −0.0293518 + 0.204146i
\(550\) −14.2794 + 6.88674i −0.608875 + 0.293652i
\(551\) 0.558574i 0.0237961i
\(552\) 3.84318 4.48307i 0.163577 0.190812i
\(553\) 12.8044 + 12.8044i 0.544499 + 0.544499i
\(554\) 17.1047 + 26.6154i 0.726708 + 1.13078i
\(555\) 3.60269 + 18.8355i 0.152925 + 0.799524i
\(556\) −2.60441 + 5.70286i −0.110452 + 0.241855i
\(557\) −6.33715 3.46034i −0.268513 0.146619i 0.339352 0.940659i \(-0.389792\pi\)
−0.607866 + 0.794040i \(0.707974\pi\)
\(558\) 0.0250518 0.0671664i 0.00106053 0.00284338i
\(559\) −39.8549 45.9951i −1.68568 1.94538i
\(560\) −2.57975 0.828670i −0.109014 0.0350177i
\(561\) −13.6347 4.00350i −0.575656 0.169028i
\(562\) 10.7607 0.769620i 0.453913 0.0324645i
\(563\) 18.7637 4.08178i 0.790794 0.172027i 0.201011 0.979589i \(-0.435577\pi\)
0.589782 + 0.807562i \(0.299214\pi\)
\(564\) −0.743543 + 1.15698i −0.0313088 + 0.0487175i
\(565\) 8.08770 3.44985i 0.340252 0.145136i
\(566\) −2.57985 + 8.78616i −0.108439 + 0.369310i
\(567\) −1.70342 + 2.27551i −0.0715371 + 0.0955623i
\(568\) 0.559337 7.82055i 0.0234692 0.328143i
\(569\) −16.3752 35.8566i −0.686483 1.50319i −0.855625 0.517597i \(-0.826827\pi\)
0.169142 0.985592i \(-0.445900\pi\)
\(570\) −2.12098 2.98742i −0.0888383 0.125129i
\(571\) −22.8911 10.4540i −0.957962 0.437487i −0.125822 0.992053i \(-0.540157\pi\)
−0.832140 + 0.554566i \(0.812884\pi\)
\(572\) 13.0514 9.77019i 0.545708 0.408512i
\(573\) 4.72017 21.6983i 0.197188 0.906458i
\(574\) −9.67783 −0.403945
\(575\) −20.7368 + 12.0410i −0.864784 + 0.502145i
\(576\) 1.48400 0.0618334
\(577\) −4.71276 + 21.6642i −0.196195 + 0.901894i 0.768772 + 0.639523i \(0.220868\pi\)
−0.964967 + 0.262371i \(0.915496\pi\)
\(578\) 3.00228 2.24748i 0.124879 0.0934829i
\(579\) −0.660373 0.301582i −0.0274442 0.0125333i
\(580\) −0.543350 0.765313i −0.0225614 0.0317779i
\(581\) −3.12606 6.84512i −0.129691 0.283983i
\(582\) 0.236035 3.30020i 0.00978398 0.136798i
\(583\) −19.7048 + 26.3225i −0.816089 + 1.09017i
\(584\) −3.36095 + 11.4463i −0.139077 + 0.473653i
\(585\) −15.6944 + 6.69453i −0.648883 + 0.276785i
\(586\) −17.3580 + 27.0096i −0.717054 + 1.11576i
\(587\) 33.3220 7.24877i 1.37535 0.299189i 0.536659 0.843799i \(-0.319686\pi\)
0.838689 + 0.544611i \(0.183323\pi\)
\(588\) 6.79353 0.485883i 0.280161 0.0200375i
\(589\) 0.0616791 + 0.0181106i 0.00254144 + 0.000746235i
\(590\) −4.05319 1.30197i −0.166867 0.0536014i
\(591\) 17.3086 + 19.9752i 0.711981 + 0.821670i
\(592\) 2.43416 6.52623i 0.100043 0.268226i
\(593\) −0.634590 0.346512i −0.0260595 0.0142296i 0.466166 0.884697i \(-0.345635\pi\)
−0.492226 + 0.870467i \(0.663817\pi\)
\(594\) 7.27190 15.9232i 0.298370 0.653338i
\(595\) 1.85289 + 9.68727i 0.0759611 + 0.397139i
\(596\) 4.04250 + 6.29025i 0.165587 + 0.257659i
\(597\) −18.0157 18.0157i −0.737335 0.737335i
\(598\) 18.5507 16.2473i 0.758595 0.664400i
\(599\) 32.4930i 1.32763i 0.747898 + 0.663814i \(0.231063\pi\)
−0.747898 + 0.663814i \(0.768937\pi\)
\(600\) 5.81200 + 2.02994i 0.237274 + 0.0828721i
\(601\) −5.78227 + 40.2166i −0.235864 + 1.64047i 0.436111 + 0.899893i \(0.356356\pi\)
−0.671974 + 0.740574i \(0.734553\pi\)
\(602\) −5.01218 13.4382i −0.204281 0.547700i
\(603\) −3.50078 + 6.41119i −0.142563 + 0.261084i
\(604\) −5.77516 + 2.63743i −0.234988 + 0.107315i
\(605\) −1.06124 + 1.83214i −0.0431454 + 0.0744870i
\(606\) 1.77761 + 12.3635i 0.0722104 + 0.502235i
\(607\) −19.0862 + 10.4219i −0.774685 + 0.423010i −0.817395 0.576077i \(-0.804583\pi\)
0.0427098 + 0.999088i \(0.486401\pi\)
\(608\) 0.0949342 + 1.32735i 0.00385009 + 0.0538313i
\(609\) −0.526840 0.338579i −0.0213486 0.0137199i
\(610\) 6.22288 3.78100i 0.251957 0.153088i
\(611\) −3.76116 + 4.34061i −0.152160 + 0.175602i
\(612\) −2.58880 4.74103i −0.104646 0.191645i
\(613\) −2.23712 1.67469i −0.0903563 0.0676399i 0.553144 0.833085i \(-0.313428\pi\)
−0.643501 + 0.765445i \(0.722519\pi\)
\(614\) 14.2068 12.3103i 0.573341 0.496803i
\(615\) 21.9816 + 0.554305i 0.886382 + 0.0223517i
\(616\) 3.68645 1.08244i 0.148531 0.0436127i
\(617\) 3.91125 1.45882i 0.157461 0.0587300i −0.269498 0.963001i \(-0.586858\pi\)
0.426959 + 0.904271i \(0.359585\pi\)
\(618\) 8.30122 + 11.0891i 0.333924 + 0.446070i
\(619\) −1.24522 + 0.800257i −0.0500498 + 0.0321650i −0.565426 0.824799i \(-0.691288\pi\)
0.515377 + 0.856964i \(0.327652\pi\)
\(620\) −0.102125 + 0.0351843i −0.00410142 + 0.00141304i
\(621\) 9.12134 24.8569i 0.366027 0.997473i
\(622\) 17.9573 17.9573i 0.720023 0.720023i
\(623\) 2.16840 + 0.471706i 0.0868750 + 0.0188985i
\(624\) −6.26658 0.900999i −0.250864 0.0360688i
\(625\) −19.5638 15.5647i −0.782550 0.622587i
\(626\) 1.59549 + 5.43375i 0.0637687 + 0.217176i
\(627\) 4.86755 + 1.81550i 0.194391 + 0.0725042i
\(628\) 21.3181 + 1.52470i 0.850685 + 0.0608422i
\(629\) −25.0961 + 3.60827i −1.00065 + 0.143871i
\(630\) −4.01672 + 0.185658i −0.160030 + 0.00739678i
\(631\) 8.73039 + 7.56493i 0.347551 + 0.301155i 0.811090 0.584922i \(-0.198875\pi\)
−0.463538 + 0.886077i \(0.653420\pi\)
\(632\) 3.17652 + 14.6022i 0.126355 + 0.580844i
\(633\) 6.71286 + 30.8585i 0.266812 + 1.22652i
\(634\) −6.56785 5.69108i −0.260843 0.226021i
\(635\) 21.4796 + 19.5817i 0.852392 + 0.777076i
\(636\) 12.6386 1.81716i 0.501154 0.0720550i
\(637\) 28.3708 + 2.02912i 1.12409 + 0.0803965i
\(638\) 1.24696 + 0.465093i 0.0493677 + 0.0184132i
\(639\) −3.27806 11.1640i −0.129678 0.441642i
\(640\) −1.42125 1.72628i −0.0561797 0.0682374i
\(641\) −4.22893 0.608028i −0.167033 0.0240157i 0.0582911 0.998300i \(-0.481435\pi\)
−0.225324 + 0.974284i \(0.572344\pi\)
\(642\) 3.63082 + 0.789837i 0.143297 + 0.0311724i
\(643\) −7.60531 + 7.60531i −0.299924 + 0.299924i −0.840984 0.541060i \(-0.818023\pi\)
0.541060 + 0.840984i \(0.318023\pi\)
\(644\) 5.43413 2.05971i 0.214135 0.0811638i
\(645\) 10.6147 + 30.8097i 0.417951 + 1.21313i
\(646\) 4.07497 2.61882i 0.160327 0.103036i
\(647\) −26.5562 35.4749i −1.04403 1.39466i −0.915201 0.402998i \(-0.867968\pi\)
−0.128832 0.991666i \(-0.541123\pi\)
\(648\) −2.19784 + 0.819750i −0.0863391 + 0.0322028i
\(649\) 5.79199 1.70068i 0.227356 0.0667577i
\(650\) 22.8182 + 11.8453i 0.895004 + 0.464610i
\(651\) −0.0544684 + 0.0471971i −0.00213478 + 0.00184980i
\(652\) 15.1856 + 11.3678i 0.594712 + 0.445196i
\(653\) −12.5687 23.0179i −0.491853 0.900761i −0.999238 0.0390414i \(-0.987570\pi\)
0.507385 0.861720i \(-0.330612\pi\)
\(654\) 14.4351 16.6590i 0.564457 0.651418i
\(655\) −6.38152 + 26.1438i −0.249346 + 1.02152i
\(656\) −6.71876 4.31789i −0.262324 0.168585i
\(657\) 1.26295 + 17.6584i 0.0492725 + 0.688920i
\(658\) −1.18795 + 0.648672i −0.0463113 + 0.0252879i
\(659\) 4.18317 + 29.0946i 0.162953 + 1.13336i 0.893030 + 0.449998i \(0.148575\pi\)
−0.730077 + 0.683365i \(0.760516\pi\)
\(660\) −8.43514 + 2.24743i −0.328337 + 0.0874812i
\(661\) 13.6162 6.21833i 0.529611 0.241865i −0.132618 0.991167i \(-0.542338\pi\)
0.662228 + 0.749302i \(0.269611\pi\)
\(662\) 13.1298 24.0455i 0.510306 0.934555i
\(663\) 8.05340 + 21.5920i 0.312768 + 0.838564i
\(664\) 0.883791 6.14690i 0.0342977 0.238546i
\(665\) −0.423017 3.58085i −0.0164039 0.138859i
\(666\) 10.3367i 0.400538i
\(667\) 1.93447 + 0.556889i 0.0749029 + 0.0215628i
\(668\) 4.47444 + 4.47444i 0.173121 + 0.173121i
\(669\) 5.15982 + 8.02884i 0.199490 + 0.310413i
\(670\) 10.8106 2.06776i 0.417651 0.0798844i
\(671\) −4.28912 + 9.39186i −0.165580 + 0.362569i
\(672\) −1.30949 0.715033i −0.0505145 0.0275830i
\(673\) −7.72305 + 20.7063i −0.297702 + 0.798169i 0.698856 + 0.715263i \(0.253693\pi\)
−0.996557 + 0.0829062i \(0.973580\pi\)
\(674\) −10.6575 12.2994i −0.410510 0.473754i
\(675\) 27.5988 0.579020i 1.06228 0.0222865i
\(676\) −12.8949 3.78628i −0.495957 0.145626i
\(677\) 38.5801 2.75930i 1.48275 0.106049i 0.693651 0.720311i \(-0.256001\pi\)
0.789102 + 0.614262i \(0.210546\pi\)
\(678\) 4.73095 1.02916i 0.181691 0.0395245i
\(679\) 1.76045 2.73932i 0.0675599 0.105125i
\(680\) −3.03574 + 7.55200i −0.116415 + 0.289606i
\(681\) −1.04330 + 3.55315i −0.0399793 + 0.136157i
\(682\) 0.0917867 0.122613i 0.00351470 0.00469508i
\(683\) 2.97437 41.5871i 0.113811 1.59129i −0.544646 0.838666i \(-0.683336\pi\)
0.658457 0.752619i \(-0.271210\pi\)
\(684\) 0.820373 + 1.79637i 0.0313677 + 0.0686858i
\(685\) −3.78563 + 22.3196i −0.144641 + 0.852788i
\(686\) 13.8130 + 6.30821i 0.527385 + 0.240848i
\(687\) −8.69641 + 6.51005i −0.331789 + 0.248374i
\(688\) 2.51594 11.5656i 0.0959195 0.440935i
\(689\) 53.3234 2.03146
\(690\) −12.4607 + 4.36703i −0.474370 + 0.166250i
\(691\) 15.4014 0.585897 0.292949 0.956128i \(-0.405363\pi\)
0.292949 + 0.956128i \(0.405363\pi\)
\(692\) 4.47160 20.5556i 0.169985 0.781407i
\(693\) 4.56441 3.41687i 0.173387 0.129796i
\(694\) −23.6198 10.7868i −0.896595 0.409461i
\(695\) 11.4309 8.11560i 0.433598 0.307842i
\(696\) −0.214693 0.470112i −0.00813792 0.0178196i
\(697\) −2.07393 + 28.9973i −0.0785555 + 1.09835i
\(698\) −5.27027 + 7.04025i −0.199483 + 0.266478i
\(699\) 2.73724 9.32217i 0.103532 0.352597i
\(700\) 4.06283 + 4.49470i 0.153561 + 0.169884i
\(701\) 23.7004 36.8786i 0.895153 1.39288i −0.0243085 0.999705i \(-0.507738\pi\)
0.919461 0.393180i \(-0.128625\pi\)
\(702\) −27.7396 + 6.03437i −1.04696 + 0.227753i
\(703\) 9.24555 0.661255i 0.348702 0.0249397i
\(704\) 3.04223 + 0.893280i 0.114658 + 0.0336667i
\(705\) 2.73539 1.40531i 0.103021 0.0529270i
\(706\) 3.87426 + 4.47114i 0.145810 + 0.168273i
\(707\) −4.29591 + 11.5178i −0.161564 + 0.433171i
\(708\) −2.05741 1.12343i −0.0773222 0.0422211i
\(709\) 9.59066 21.0006i 0.360185 0.788695i −0.639615 0.768695i \(-0.720906\pi\)
0.999800 0.0199994i \(-0.00636644\pi\)
\(710\) −9.84727 + 14.5052i −0.369562 + 0.544370i
\(711\) 11.9895 + 18.6561i 0.449642 + 0.699657i
\(712\) 1.29494 + 1.29494i 0.0485298 + 0.0485298i
\(713\) 0.124214 0.195552i 0.00465185 0.00732350i
\(714\) 5.43085i 0.203244i
\(715\) −36.2035 + 4.27683i −1.35393 + 0.159945i
\(716\) 2.07327 14.4199i 0.0774819 0.538899i
\(717\) −2.60825 6.99299i −0.0974069 0.261158i
\(718\) 6.32352 11.5807i 0.235992 0.432186i
\(719\) −21.9795 + 10.0377i −0.819699 + 0.374344i −0.780708 0.624896i \(-0.785142\pi\)
−0.0389906 + 0.999240i \(0.512414\pi\)
\(720\) −2.87141 1.66322i −0.107011 0.0619845i
\(721\) 1.94013 + 13.4939i 0.0722541 + 0.502538i
\(722\) 15.1216 8.25704i 0.562769 0.307295i
\(723\) 0.0980182 + 1.37047i 0.00364534 + 0.0509685i
\(724\) 20.0187 + 12.8653i 0.743990 + 0.478134i
\(725\) 0.193598 + 2.08978i 0.00719005 + 0.0776125i
\(726\) −0.763476 + 0.881098i −0.0283352 + 0.0327006i
\(727\) −1.24735 2.28435i −0.0462617 0.0847220i 0.853525 0.521051i \(-0.174460\pi\)
−0.899787 + 0.436329i \(0.856278\pi\)
\(728\) −4.98797 3.73395i −0.184867 0.138389i
\(729\) −18.0430 + 15.6343i −0.668259 + 0.579049i
\(730\) 19.3318 18.3808i 0.715502 0.680305i
\(731\) −41.3384 + 12.1380i −1.52895 + 0.448941i
\(732\) 3.75665 1.40116i 0.138850 0.0517884i
\(733\) 3.30961 + 4.42112i 0.122243 + 0.163298i 0.857488 0.514504i \(-0.172024\pi\)
−0.735245 + 0.677801i \(0.762933\pi\)
\(734\) −23.0589 + 14.8191i −0.851120 + 0.546982i
\(735\) −13.6894 6.67382i −0.504943 0.246168i
\(736\) 4.69157 + 0.994570i 0.172934 + 0.0366603i
\(737\) −11.0358 + 11.0358i −0.406509 + 0.406509i
\(738\) −11.5813 2.51935i −0.426313 0.0927387i
\(739\) 43.0951 + 6.19614i 1.58528 + 0.227929i 0.877878 0.478885i \(-0.158959\pi\)
0.707400 + 0.706813i \(0.249868\pi\)
\(740\) −12.0243 + 9.89955i −0.442020 + 0.363915i
\(741\) −2.37359 8.08370i −0.0871960 0.296962i
\(742\) 11.7740 + 4.39149i 0.432238 + 0.161217i
\(743\) −10.3375 0.739355i −0.379247 0.0271243i −0.119585 0.992824i \(-0.538157\pi\)
−0.259662 + 0.965700i \(0.583611\pi\)
\(744\) −0.0588719 + 0.00846449i −0.00215835 + 0.000310323i
\(745\) −0.771976 16.7018i −0.0282830 0.611905i
\(746\) 20.2367 + 17.5352i 0.740918 + 0.642009i
\(747\) −1.95896 9.00520i −0.0716747 0.329483i
\(748\) −2.45327 11.2775i −0.0897005 0.412346i
\(749\) 2.76369 + 2.39475i 0.100983 + 0.0875023i
\(750\) −8.97061 10.4416i −0.327560 0.381275i
\(751\) −19.5796 + 2.81512i −0.714470 + 0.102725i −0.489958 0.871746i \(-0.662988\pi\)
−0.224512 + 0.974471i \(0.572079\pi\)
\(752\) −1.11414 0.0796849i −0.0406285 0.00290581i
\(753\) 31.7028 + 11.8245i 1.15531 + 0.430909i
\(754\) −0.608062 2.07087i −0.0221443 0.0754166i
\(755\) 14.1304 + 1.36942i 0.514256 + 0.0498382i
\(756\) −6.62198 0.952097i −0.240839 0.0346274i
\(757\) 22.7140 + 4.94113i 0.825555 + 0.179589i 0.605446 0.795887i \(-0.292995\pi\)
0.220110 + 0.975475i \(0.429359\pi\)
\(758\) −12.1164 + 12.1164i −0.440087 + 0.440087i
\(759\) 11.1404 15.0474i 0.404369 0.546186i
\(760\) 1.30396 2.67471i 0.0472997 0.0970220i
\(761\) 12.7871 8.21780i 0.463533 0.297895i −0.287952 0.957645i \(-0.592974\pi\)
0.751485 + 0.659750i \(0.229338\pi\)
\(762\) 9.59122 + 12.8124i 0.347453 + 0.464143i
\(763\) 20.3261 7.58123i 0.735853 0.274459i
\(764\) 17.3045 5.08105i 0.626053 0.183826i
\(765\) −0.304491 + 12.0749i −0.0110089 + 0.436569i
\(766\) −5.96120 + 5.16541i −0.215387 + 0.186634i
\(767\) −7.83690 5.86663i −0.282974 0.211832i
\(768\) −0.590080 1.08065i −0.0212927 0.0389946i
\(769\) −28.1303 + 32.4640i −1.01440 + 1.17068i −0.0291508 + 0.999575i \(0.509280\pi\)
−0.985252 + 0.171108i \(0.945265\pi\)
\(770\) −8.34611 2.03722i −0.300773 0.0734164i
\(771\) 1.01277 + 0.650867i 0.0364740 + 0.0234404i
\(772\) −0.0420632 0.588121i −0.00151389 0.0211669i
\(773\) −15.9567 + 8.71304i −0.573924 + 0.313386i −0.739871 0.672748i \(-0.765114\pi\)
0.165947 + 0.986135i \(0.446932\pi\)
\(774\) −2.49973 17.3860i −0.0898510 0.624927i
\(775\) 0.237035 + 0.0463793i 0.00851457 + 0.00166599i
\(776\) 2.44436 1.11630i 0.0877474 0.0400729i
\(777\) −4.98049 + 9.12109i −0.178674 + 0.327217i
\(778\) −5.61617 15.0575i −0.201349 0.539839i
\(779\) 1.51254 10.5200i 0.0541924 0.376916i
\(780\) 11.1155 + 8.76673i 0.397998 + 0.313899i
\(781\) 24.8597i 0.889549i
\(782\) −5.00690 16.7234i −0.179046 0.598029i
\(783\) −1.63865 1.63865i −0.0585606 0.0585606i
\(784\) 2.99063 + 4.65351i 0.106808 + 0.166197i
\(785\) −39.5398 26.8428i −1.41124 0.958060i
\(786\) −6.15578 + 13.4793i −0.219569 + 0.480790i
\(787\) −43.6549 23.8374i −1.55613 0.849710i −0.999825 0.0187306i \(-0.994038\pi\)
−0.556303 0.830979i \(-0.687781\pi\)
\(788\) −7.50182 + 20.1131i −0.267241 + 0.716501i
\(789\) 5.48675 + 6.33205i 0.195334 + 0.225427i
\(790\) 10.2194 31.8141i 0.363589 1.13190i
\(791\) 4.57190 + 1.34243i 0.162558 + 0.0477314i
\(792\) 4.69328 0.335670i 0.166769 0.0119275i
\(793\) 16.3614 3.55920i 0.581010 0.126391i
\(794\) −8.48157 + 13.1976i −0.301000 + 0.468364i
\(795\) −26.4912 10.6489i −0.939546 0.377677i
\(796\) 5.82981 19.8545i 0.206632 0.703725i
\(797\) −3.27287 + 4.37205i −0.115931 + 0.154866i −0.854753 0.519035i \(-0.826292\pi\)
0.738822 + 0.673901i \(0.235382\pi\)
\(798\) 0.141641 1.98039i 0.00501402 0.0701052i
\(799\) 1.68901 + 3.69842i 0.0597530 + 0.130841i
\(800\) 0.815227 + 4.93309i 0.0288226 + 0.174411i
\(801\) 2.47208 + 1.12896i 0.0873468 + 0.0398900i
\(802\) −7.74653 + 5.79898i −0.273539 + 0.204769i
\(803\) −8.04021 + 36.9603i −0.283733 + 1.30430i
\(804\) 6.06063 0.213742
\(805\) −12.8230 2.10504i −0.451952 0.0741930i
\(806\) −0.248385 −0.00874900
\(807\) 3.90584 17.9549i 0.137492 0.632041i
\(808\) −8.12121 + 6.07946i −0.285703 + 0.213875i
\(809\) −8.94018 4.08284i −0.314320 0.143545i 0.252008 0.967725i \(-0.418909\pi\)
−0.566328 + 0.824180i \(0.691636\pi\)
\(810\) 5.17136 + 0.877116i 0.181703 + 0.0308187i
\(811\) 6.53308 + 14.3054i 0.229407 + 0.502332i 0.988973 0.148099i \(-0.0473155\pi\)
−0.759565 + 0.650431i \(0.774588\pi\)
\(812\) 0.0362853 0.507334i 0.00127336 0.0178039i
\(813\) −0.0569810 + 0.0761176i −0.00199841 + 0.00266956i
\(814\) 6.22205 21.1904i 0.218083 0.742721i
\(815\) −16.6421 39.0151i −0.582947 1.36664i
\(816\) −2.42304 + 3.77033i −0.0848234 + 0.131988i
\(817\) 15.3909 3.34808i 0.538458 0.117134i
\(818\) −7.08174 + 0.506496i −0.247607 + 0.0177092i
\(819\) −8.87190 2.60502i −0.310009 0.0910269i
\(820\) 8.16087 + 15.8849i 0.284990 + 0.554724i
\(821\) 28.6882 + 33.1080i 1.00123 + 1.15548i 0.987826 + 0.155566i \(0.0497200\pi\)
0.0133999 + 0.999910i \(0.495735\pi\)
\(822\) −4.35624 + 11.6795i −0.151941 + 0.407371i
\(823\) −34.7538 18.9770i −1.21144 0.661497i −0.258900 0.965904i \(-0.583360\pi\)
−0.952542 + 0.304407i \(0.901542\pi\)
\(824\) −4.67355 + 10.2336i −0.162811 + 0.356506i
\(825\) 18.8401 + 5.10524i 0.655928 + 0.177742i
\(826\) −1.24727 1.94079i −0.0433981 0.0675287i
\(827\) 4.83634 + 4.83634i 0.168176 + 0.168176i 0.786177 0.618001i \(-0.212057\pi\)
−0.618001 + 0.786177i \(0.712057\pi\)
\(828\) 7.03911 1.05019i 0.244626 0.0364966i
\(829\) 39.2405i 1.36288i −0.731875 0.681439i \(-0.761354\pi\)
0.731875 0.681439i \(-0.238646\pi\)
\(830\) −8.59929 + 10.9032i −0.298486 + 0.378455i
\(831\) 5.54378 38.5578i 0.192312 1.33756i
\(832\) −1.79691 4.81771i −0.0622968 0.167024i
\(833\) 9.64980 17.6723i 0.334346 0.612308i
\(834\) 7.02170 3.20670i 0.243142 0.111039i
\(835\) −3.64284 13.6724i −0.126066 0.473154i
\(836\) 0.600475 + 4.17640i 0.0207679 + 0.144444i
\(837\) −0.234074 + 0.127814i −0.00809077 + 0.00441789i
\(838\) 0.266251 + 3.72267i 0.00919747 + 0.128597i
\(839\) −20.7248 13.3190i −0.715498 0.459823i 0.131570 0.991307i \(-0.457998\pi\)
−0.847068 + 0.531484i \(0.821634\pi\)
\(840\) 1.73235 + 2.85115i 0.0597719 + 0.0983742i
\(841\) −18.8756 + 21.7836i −0.650882 + 0.751158i
\(842\) −5.24938 9.61353i −0.180906 0.331304i
\(843\) −10.6336 7.96023i −0.366242 0.274165i
\(844\) −19.3840 + 16.7963i −0.667226 + 0.578154i
\(845\) 20.7069 + 21.7782i 0.712339 + 0.749194i
\(846\) −1.59047 + 0.467003i −0.0546813 + 0.0160559i
\(847\) −1.07505 + 0.400973i −0.0369392 + 0.0137776i
\(848\) 6.21472 + 8.30189i 0.213414 + 0.285088i
\(849\) 9.48492 6.09559i 0.325522 0.209200i
\(850\) 14.3379 11.2101i 0.491786 0.384503i
\(851\) 6.92758 32.6787i 0.237474 1.12021i
\(852\) −6.82621 + 6.82621i −0.233862 + 0.233862i
\(853\) 30.9069 + 6.72339i 1.05823 + 0.230204i 0.707821 0.706392i \(-0.249678\pi\)
0.350411 + 0.936596i \(0.386042\pi\)
\(854\) 3.90578 + 0.561567i 0.133653 + 0.0192164i
\(855\) 0.425957 4.39525i 0.0145674 0.150315i
\(856\) 0.850223 + 2.89559i 0.0290600 + 0.0989693i
\(857\) −28.3994 10.5924i −0.970104 0.361830i −0.186062 0.982538i \(-0.559573\pi\)
−0.784042 + 0.620708i \(0.786845\pi\)
\(858\) −20.0224 1.43203i −0.683554 0.0488887i
\(859\) −26.5495 + 3.81725i −0.905858 + 0.130243i −0.579470 0.814993i \(-0.696741\pi\)
−0.326388 + 0.945236i \(0.605831\pi\)
\(860\) −17.8305 + 19.5586i −0.608014 + 0.666944i
\(861\) 9.00545 + 7.80327i 0.306905 + 0.265935i
\(862\) 1.35070 + 6.20905i 0.0460049 + 0.211481i
\(863\) −10.6380 48.9019i −0.362120 1.66464i −0.692978 0.720959i \(-0.743702\pi\)
0.330858 0.943681i \(-0.392662\pi\)
\(864\) −4.17247 3.61546i −0.141950 0.123001i
\(865\) −31.6902 + 34.7617i −1.07750 + 1.18193i
\(866\) 11.2432 1.61653i 0.382061 0.0549321i
\(867\) −4.60585 0.329417i −0.156423 0.0111876i
\(868\) −0.0548446 0.0204560i −0.00186155 0.000694321i
\(869\) 13.3489 + 45.4622i 0.452831 + 1.54220i
\(870\) −0.111474 + 1.15025i −0.00377932 + 0.0389970i
\(871\) 25.0524 + 3.60200i 0.848870 + 0.122049i
\(872\) 17.4937 + 3.80552i 0.592411 + 0.128871i
\(873\) 2.81980 2.81980i 0.0954359 0.0954359i
\(874\) 1.38964 + 6.22890i 0.0470052 + 0.210696i
\(875\) −2.82372 13.2503i −0.0954592 0.447943i
\(876\) 12.3567 7.94114i 0.417493 0.268306i
\(877\) 4.11061 + 5.49114i 0.138806 + 0.185423i 0.864557 0.502534i \(-0.167599\pi\)
−0.725752 + 0.687957i \(0.758508\pi\)
\(878\) 10.6650 3.97783i 0.359926 0.134245i
\(879\) 37.9300 11.1373i 1.27935 0.375650i
\(880\) −4.88529 5.13805i −0.164683 0.173204i
\(881\) 11.7368 10.1700i 0.395422 0.342636i −0.434343 0.900747i \(-0.643019\pi\)
0.829766 + 0.558112i \(0.188474\pi\)
\(882\) 6.57162 + 4.91945i 0.221278 + 0.165647i
\(883\) −3.56265 6.52451i −0.119893 0.219567i 0.810839 0.585269i \(-0.199011\pi\)
−0.930732 + 0.365701i \(0.880829\pi\)
\(884\) −12.2568 + 14.1451i −0.412240 + 0.475750i
\(885\) 2.72180 + 4.47962i 0.0914925 + 0.150581i
\(886\) −17.8121 11.4472i −0.598410 0.384575i
\(887\) 3.52211 + 49.2455i 0.118261 + 1.65350i 0.617156 + 0.786841i \(0.288285\pi\)
−0.498895 + 0.866662i \(0.666261\pi\)
\(888\) −7.52716 + 4.11014i −0.252595 + 0.137927i
\(889\) 2.24162 + 15.5908i 0.0751816 + 0.522899i
\(890\) −1.05427 3.95691i −0.0353391 0.132636i
\(891\) −6.76542 + 3.08966i −0.226650 + 0.103508i
\(892\) −3.71482 + 6.80319i −0.124381 + 0.227787i
\(893\) −0.519452 1.39270i −0.0173828 0.0466051i
\(894\) 1.31021 9.11270i 0.0438199 0.304774i
\(895\) −20.1730 + 25.5777i −0.674309 + 0.854967i
\(896\) 1.21176i 0.0404820i
\(897\) −30.3621 + 0.160958i −1.01376 + 0.00537424i
\(898\) −21.4400 21.4400i −0.715462 0.715462i
\(899\) −0.0109622 0.0170575i −0.000365609 0.000568899i
\(900\) 3.69185 + 6.43636i 0.123062 + 0.214545i
\(901\) 15.6812 34.3370i 0.522415 1.14393i
\(902\) −22.2253 12.1360i −0.740023 0.404083i
\(903\) −6.17130 + 16.5459i −0.205368 + 0.550613i
\(904\) 2.57507 + 2.97178i 0.0856454 + 0.0988401i
\(905\) −24.3155 47.3295i −0.808276 1.57328i
\(906\) 7.50049 + 2.20234i 0.249187 + 0.0731679i
\(907\) −4.49034 + 0.321155i −0.149099 + 0.0106638i −0.145689 0.989330i \(-0.546540\pi\)
−0.00340992 + 0.999994i \(0.501085\pi\)
\(908\) −2.93888 + 0.639314i −0.0975302 + 0.0212164i
\(909\) −8.13917 + 12.6648i −0.269959 + 0.420065i
\(910\) 5.46640 + 12.8152i 0.181209 + 0.424820i
\(911\) −13.3712 + 45.5380i −0.443007 + 1.50874i 0.371414 + 0.928467i \(0.378873\pi\)
−0.814421 + 0.580275i \(0.802945\pi\)
\(912\) 0.981911 1.31168i 0.0325143 0.0434340i
\(913\) 1.40468 19.6400i 0.0464882 0.649989i
\(914\) 1.75183 + 3.83597i 0.0579454 + 0.126883i
\(915\) −8.83917 1.49921i −0.292214 0.0495624i
\(916\) −8.02551 3.66513i −0.265170 0.121099i
\(917\) −11.6748 + 8.73968i −0.385537 + 0.288610i
\(918\) −4.27179 + 19.6371i −0.140990 + 0.648121i
\(919\) 41.4667 1.36786 0.683930 0.729547i \(-0.260269\pi\)
0.683930 + 0.729547i \(0.260269\pi\)
\(920\) −7.96309 7.18256i −0.262535 0.236802i
\(921\) −23.1456 −0.762674
\(922\) −7.40600 + 34.0448i −0.243904 + 1.12121i
\(923\) −32.2740 + 24.1600i −1.06231 + 0.795238i
\(924\) −4.30310 1.96516i −0.141562 0.0646490i
\(925\) 34.3610 5.67838i 1.12978 0.186704i
\(926\) −13.7628 30.1364i −0.452275 0.990343i
\(927\) −1.19104 + 16.6529i −0.0391189 + 0.546954i
\(928\) 0.251544 0.336024i 0.00825735 0.0110305i
\(929\) −0.948223 + 3.22935i −0.0311102 + 0.105952i −0.973584 0.228327i \(-0.926674\pi\)
0.942474 + 0.334279i \(0.108493\pi\)
\(930\) 0.123399 + 0.0496035i 0.00404640 + 0.00162656i
\(931\) −3.97977 + 6.19264i −0.130432 + 0.202956i
\(932\) 7.71056 1.67733i 0.252568 0.0549427i
\(933\) −31.1888 + 2.23066i −1.02107 + 0.0730286i
\(934\) 22.5056 + 6.60824i 0.736406 + 0.216228i
\(935\) −7.89258 + 24.5705i −0.258115 + 0.803542i
\(936\) −4.99698 5.76683i −0.163332 0.188495i
\(937\) 13.6785 36.6735i 0.446857 1.19807i −0.497010 0.867745i \(-0.665569\pi\)
0.943867 0.330325i \(-0.107158\pi\)
\(938\) 5.23504 + 2.85855i 0.170930 + 0.0933349i
\(939\) 2.89660 6.34268i 0.0945271 0.206985i
\(940\) 2.06646 + 1.40287i 0.0674004 + 0.0457567i
\(941\) 20.9705 + 32.6308i 0.683620 + 1.06373i 0.993596 + 0.112989i \(0.0360425\pi\)
−0.309976 + 0.950744i \(0.600321\pi\)
\(942\) −18.6076 18.6076i −0.606269 0.606269i
\(943\) −34.9250 15.7265i −1.13731 0.512125i
\(944\) 1.90386i 0.0619655i
\(945\) 11.7459 + 9.26391i 0.382093 + 0.301355i
\(946\) 5.34083 37.1463i 0.173646 1.20773i
\(947\) 4.49524 + 12.0522i 0.146076 + 0.391644i 0.989296 0.145925i \(-0.0466157\pi\)
−0.843220 + 0.537568i \(0.819343\pi\)
\(948\) 8.81798 16.1489i 0.286395 0.524493i
\(949\) 55.7976 25.4819i 1.81127 0.827177i
\(950\) −5.52078 + 3.71389i −0.179118 + 0.120495i
\(951\) 1.52281 + 10.5914i 0.0493804 + 0.343448i
\(952\) −3.87128 + 2.11388i −0.125469 + 0.0685111i
\(953\) −1.82577 25.5275i −0.0591424 0.826918i −0.937295 0.348537i \(-0.886678\pi\)
0.878153 0.478381i \(-0.158776\pi\)
\(954\) 12.9466 + 8.32025i 0.419160 + 0.269378i
\(955\) −39.1772 9.56287i −1.26775 0.309447i
\(956\) 3.96960 4.58116i 0.128386 0.148165i
\(957\) −0.785321 1.43821i −0.0253858 0.0464907i
\(958\) −6.31027 4.72381i −0.203876 0.152619i
\(959\) −9.27158 + 8.03387i −0.299395 + 0.259427i
\(960\) −0.0694044 + 2.75230i −0.00224002 + 0.0888302i
\(961\) 29.7420 8.73305i 0.959421 0.281711i
\(962\) −33.5573 + 12.5162i −1.08193 + 0.403539i
\(963\) 2.68385 + 3.58520i 0.0864858 + 0.115532i
\(964\) −0.938764 + 0.603307i −0.0302355 + 0.0194312i
\(965\) −0.577757 + 1.18510i −0.0185987 + 0.0381499i
\(966\) −6.71734 2.46495i −0.216127 0.0793085i
\(967\) 1.78926 1.78926i 0.0575386 0.0575386i −0.677752 0.735291i \(-0.737046\pi\)
0.735291 + 0.677752i \(0.237046\pi\)
\(968\) −0.925245 0.201275i −0.0297385 0.00646922i
\(969\) −5.90342 0.848783i −0.189645 0.0272669i
\(970\) −5.98073 0.579611i −0.192030 0.0186102i
\(971\) −8.22478 28.0110i −0.263946 0.898917i −0.979684 0.200548i \(-0.935728\pi\)
0.715738 0.698369i \(-0.246090\pi\)
\(972\) −12.8125 4.77882i −0.410961 0.153281i
\(973\) 7.57766 + 0.541965i 0.242929 + 0.0173746i
\(974\) −13.8503 + 1.99137i −0.443792 + 0.0638077i
\(975\) −11.6820 29.4207i −0.374124 0.942216i
\(976\) 2.46101 + 2.13248i 0.0787750 + 0.0682590i
\(977\) −11.3359 52.1102i −0.362667 1.66715i −0.691203 0.722661i \(-0.742919\pi\)
0.328536 0.944492i \(-0.393445\pi\)
\(978\) −4.96465 22.8221i −0.158752 0.729771i
\(979\) 4.38825 + 3.80244i 0.140249 + 0.121527i
\(980\) −0.571107 12.3559i −0.0182433 0.394696i
\(981\) 26.2974 3.78099i 0.839611 0.120718i
\(982\) 27.9985 + 2.00250i 0.893469 + 0.0639022i
\(983\) 52.7037 + 19.6575i 1.68099 + 0.626975i 0.994930 0.100573i \(-0.0320676\pi\)
0.686056 + 0.727548i \(0.259340\pi\)
\(984\) 2.77044 + 9.43525i 0.0883184 + 0.300785i
\(985\) 37.0575 30.5094i 1.18075 0.972110i
\(986\) −1.51233 0.217440i −0.0481623 0.00692470i
\(987\) 1.62844 + 0.354246i 0.0518340 + 0.0112758i
\(988\) 4.83843 4.83843i 0.153931 0.153931i
\(989\) 3.74928 56.6400i 0.119220 1.80105i
\(990\) −9.45730 4.61058i −0.300573 0.146534i
\(991\) 7.69741 4.94682i 0.244516 0.157141i −0.412643 0.910893i \(-0.635394\pi\)
0.657159 + 0.753752i \(0.271758\pi\)
\(992\) −0.0289487 0.0386710i −0.000919123 0.00122780i
\(993\) −31.6056 + 11.7883i −1.00297 + 0.374090i
\(994\) −9.11596 + 2.67669i −0.289141 + 0.0848994i
\(995\) −33.5325 + 31.8829i −1.06305 + 1.01076i
\(996\) −5.77865 + 5.00723i −0.183104 + 0.158660i
\(997\) 29.6585 + 22.2021i 0.939295 + 0.703147i 0.954961 0.296730i \(-0.0958961\pi\)
−0.0156666 + 0.999877i \(0.504987\pi\)
\(998\) 19.1046 + 34.9875i 0.604746 + 1.10751i
\(999\) −25.1832 + 29.0629i −0.796760 + 0.919510i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 230.2.l.a.103.9 yes 240
5.2 odd 4 inner 230.2.l.a.57.10 240
23.21 odd 22 inner 230.2.l.a.113.10 yes 240
115.67 even 44 inner 230.2.l.a.67.9 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.57.10 240 5.2 odd 4 inner
230.2.l.a.67.9 yes 240 115.67 even 44 inner
230.2.l.a.103.9 yes 240 1.1 even 1 trivial
230.2.l.a.113.10 yes 240 23.21 odd 22 inner