Properties

Label 552.2.t.b.19.2
Level $552$
Weight $2$
Character 552.19
Analytic conductor $4.408$
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] = [552,2,Mod(19,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) \(=\) 552.19
Dual form 552.2.t.b.523.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.40243 + 0.182193i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.93361 - 0.511026i) q^{4} +(2.78195 + 1.78785i) q^{5} +(1.29429 - 0.569923i) q^{6} +(-0.0254555 - 0.177047i) q^{7} +(-2.61865 + 1.06897i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(-1.40243 + 0.182193i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(1.93361 - 0.511026i) q^{4} +(2.78195 + 1.78785i) q^{5} +(1.29429 - 0.569923i) q^{6} +(-0.0254555 - 0.177047i) q^{7} +(-2.61865 + 1.06897i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-4.22722 - 2.00048i) q^{10} +(3.85955 + 1.76260i) q^{11} +(-1.71131 + 1.03509i) q^{12} +(4.18213 + 0.601299i) q^{13} +(0.0679563 + 0.243658i) q^{14} +(-3.17296 - 0.931664i) q^{15} +(3.47770 - 1.97625i) q^{16} +(-3.14676 + 2.72668i) q^{17} +(-1.08130 + 0.911481i) q^{18} +(-5.71631 - 4.95321i) q^{19} +(6.29285 + 2.03536i) q^{20} +(0.0743042 + 0.162704i) q^{21} +(-5.73388 - 1.76873i) q^{22} +(3.61020 - 3.15697i) q^{23} +(2.21141 - 1.76343i) q^{24} +(2.46576 + 5.39926i) q^{25} +(-5.97468 - 0.0813230i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-0.139697 - 0.329331i) q^{28} +(4.64539 - 4.02526i) q^{29} +(4.61959 + 0.728501i) q^{30} +(-1.17483 + 4.00112i) q^{31} +(-4.51717 + 3.40517i) q^{32} +(-4.19980 - 0.603840i) q^{33} +(3.91632 - 4.39730i) q^{34} +(0.245717 - 0.538046i) q^{35} +(1.35038 - 1.47529i) q^{36} +(-6.76625 + 4.34840i) q^{37} +(8.91916 + 5.90505i) q^{38} +(-4.18213 + 0.601299i) q^{39} +(-9.19610 - 1.70793i) q^{40} +(7.76768 + 4.99199i) q^{41} +(-0.133850 - 0.214642i) q^{42} +(-2.78902 - 9.49852i) q^{43} +(8.36361 + 1.43585i) q^{44} +3.30691 q^{45} +(-4.48786 + 5.08519i) q^{46} +11.3460i q^{47} +(-2.78006 + 2.87598i) q^{48} +(6.68575 - 1.96311i) q^{49} +(-4.44176 - 7.12283i) q^{50} +(2.25110 - 3.50278i) q^{51} +(8.39388 - 0.974499i) q^{52} +(1.14347 + 7.95303i) q^{53} +(0.780703 - 1.17920i) q^{54} +(7.58582 + 11.8038i) q^{55} +(0.255917 + 0.436412i) q^{56} +(6.88024 + 3.14210i) q^{57} +(-5.78146 + 6.49150i) q^{58} +(-1.02028 + 7.09621i) q^{59} +(-6.61137 - 0.180011i) q^{60} +(4.71849 + 1.38547i) q^{61} +(0.918644 - 5.82533i) q^{62} +(-0.117133 - 0.135179i) q^{63} +(5.71461 - 5.59850i) q^{64} +(10.5594 + 9.14980i) q^{65} +(5.99993 + 0.0816666i) q^{66} +(5.47104 - 2.49854i) q^{67} +(-4.69121 + 6.88043i) q^{68} +(-2.57453 + 4.04620i) q^{69} +(-0.246573 + 0.799339i) q^{70} +(-4.50355 + 2.05670i) q^{71} +(-1.62502 + 2.31502i) q^{72} +(-2.24971 + 2.59631i) q^{73} +(8.69693 - 7.33109i) q^{74} +(-3.88703 - 4.48587i) q^{75} +(-13.5843 - 6.65640i) q^{76} +(0.213816 - 0.728190i) q^{77} +(5.75558 - 1.60523i) q^{78} +(-0.165519 + 1.15121i) q^{79} +(13.2080 + 0.719779i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-11.8031 - 5.58568i) q^{82} +(-2.19154 - 3.41010i) q^{83} +(0.226821 + 0.276634i) q^{84} +(-13.6290 + 1.95956i) q^{85} +(5.64196 + 12.8129i) q^{86} +(-3.32318 + 5.17096i) q^{87} +(-11.9910 - 0.489879i) q^{88} +(-4.25877 - 14.5041i) q^{89} +(-4.63771 + 0.602497i) q^{90} -0.755738i q^{91} +(5.36742 - 7.94927i) q^{92} -4.17003i q^{93} +(-2.06717 - 15.9120i) q^{94} +(-7.04689 - 23.9995i) q^{95} +(3.37485 - 4.53987i) q^{96} +(-1.67525 + 2.60673i) q^{97} +(-9.01862 + 3.97123i) q^{98} +(4.19980 - 0.603840i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9} - 4 q^{12} - 4 q^{16} - 44 q^{17} + 4 q^{18} + 55 q^{20} + 4 q^{24} - 24 q^{25} - 24 q^{27} + 4 q^{32} - 55 q^{34} + 7 q^{36} + 22 q^{38} + 11 q^{40} - 44 q^{42} + 77 q^{44} - 48 q^{46} + 51 q^{48} + 8 q^{49} - 33 q^{50} + 165 q^{52} - 7 q^{54} - 22 q^{56} - 59 q^{58} + 11 q^{60} + 29 q^{62} - 4 q^{64} + 55 q^{66} + 132 q^{70} + 4 q^{72} - 144 q^{73} - 66 q^{74} - 24 q^{75} - 55 q^{76} - 24 q^{81} - 26 q^{82} - 44 q^{84} - 110 q^{86} - 198 q^{88} - 47 q^{92} - 73 q^{94} + 4 q^{96} + 53 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{15}{22}\right)\) \(1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40243 + 0.182193i −0.991667 + 0.128830i
\(3\) −0.959493 + 0.281733i −0.553964 + 0.162658i
\(4\) 1.93361 0.511026i 0.966806 0.255513i
\(5\) 2.78195 + 1.78785i 1.24413 + 0.799551i 0.986030 0.166568i \(-0.0532686\pi\)
0.258096 + 0.966119i \(0.416905\pi\)
\(6\) 1.29429 0.569923i 0.528392 0.232670i
\(7\) −0.0254555 0.177047i −0.00962127 0.0669174i 0.984445 0.175692i \(-0.0562164\pi\)
−0.994066 + 0.108775i \(0.965307\pi\)
\(8\) −2.61865 + 1.06897i −0.925831 + 0.377938i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) −4.22722 2.00048i −1.33676 0.632607i
\(11\) 3.85955 + 1.76260i 1.16370 + 0.531444i 0.901164 0.433479i \(-0.142714\pi\)
0.262536 + 0.964922i \(0.415441\pi\)
\(12\) −1.71131 + 1.03509i −0.494014 + 0.298804i
\(13\) 4.18213 + 0.601299i 1.15991 + 0.166770i 0.695284 0.718735i \(-0.255279\pi\)
0.464629 + 0.885505i \(0.346188\pi\)
\(14\) 0.0679563 + 0.243658i 0.0181621 + 0.0651203i
\(15\) −3.17296 0.931664i −0.819254 0.240555i
\(16\) 3.47770 1.97625i 0.869426 0.494063i
\(17\) −3.14676 + 2.72668i −0.763202 + 0.661318i −0.946851 0.321674i \(-0.895755\pi\)
0.183649 + 0.982992i \(0.441209\pi\)
\(18\) −1.08130 + 0.911481i −0.254864 + 0.214838i
\(19\) −5.71631 4.95321i −1.31141 1.13634i −0.981317 0.192397i \(-0.938374\pi\)
−0.330094 0.943948i \(-0.607081\pi\)
\(20\) 6.29285 + 2.03536i 1.40712 + 0.455120i
\(21\) 0.0743042 + 0.162704i 0.0162145 + 0.0355048i
\(22\) −5.73388 1.76873i −1.22247 0.377095i
\(23\) 3.61020 3.15697i 0.752778 0.658275i
\(24\) 2.21141 1.76343i 0.451402 0.359958i
\(25\) 2.46576 + 5.39926i 0.493152 + 1.07985i
\(26\) −5.97468 0.0813230i −1.17173 0.0159487i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −0.139697 0.329331i −0.0264002 0.0622378i
\(29\) 4.64539 4.02526i 0.862628 0.747471i −0.106426 0.994321i \(-0.533941\pi\)
0.969054 + 0.246849i \(0.0793952\pi\)
\(30\) 4.61959 + 0.728501i 0.843418 + 0.133005i
\(31\) −1.17483 + 4.00112i −0.211007 + 0.718622i 0.784172 + 0.620543i \(0.213088\pi\)
−0.995179 + 0.0980788i \(0.968730\pi\)
\(32\) −4.51717 + 3.40517i −0.798531 + 0.601954i
\(33\) −4.19980 0.603840i −0.731091 0.105115i
\(34\) 3.91632 4.39730i 0.671644 0.754131i
\(35\) 0.245717 0.538046i 0.0415338 0.0909464i
\(36\) 1.35038 1.47529i 0.225063 0.245882i
\(37\) −6.76625 + 4.34840i −1.11236 + 0.714873i −0.961807 0.273728i \(-0.911743\pi\)
−0.150557 + 0.988601i \(0.548107\pi\)
\(38\) 8.91916 + 5.90505i 1.44688 + 0.957926i
\(39\) −4.18213 + 0.601299i −0.669676 + 0.0962849i
\(40\) −9.19610 1.70793i −1.45403 0.270047i
\(41\) 7.76768 + 4.99199i 1.21311 + 0.779617i 0.981176 0.193115i \(-0.0618590\pi\)
0.231932 + 0.972732i \(0.425495\pi\)
\(42\) −0.133850 0.214642i −0.0206535 0.0331200i
\(43\) −2.78902 9.49852i −0.425321 1.44851i −0.842010 0.539462i \(-0.818628\pi\)
0.416689 0.909049i \(-0.363190\pi\)
\(44\) 8.36361 + 1.43585i 1.26086 + 0.216462i
\(45\) 3.30691 0.492965
\(46\) −4.48786 + 5.08519i −0.661699 + 0.749770i
\(47\) 11.3460i 1.65499i 0.561474 + 0.827495i \(0.310235\pi\)
−0.561474 + 0.827495i \(0.689765\pi\)
\(48\) −2.78006 + 2.87598i −0.401267 + 0.415112i
\(49\) 6.68575 1.96311i 0.955108 0.280445i
\(50\) −4.44176 7.12283i −0.628160 1.00732i
\(51\) 2.25110 3.50278i 0.315217 0.490487i
\(52\) 8.39388 0.974499i 1.16402 0.135139i
\(53\) 1.14347 + 7.95303i 0.157068 + 1.09243i 0.904000 + 0.427532i \(0.140617\pi\)
−0.746932 + 0.664901i \(0.768474\pi\)
\(54\) 0.780703 1.17920i 0.106240 0.160468i
\(55\) 7.58582 + 11.8038i 1.02287 + 1.59162i
\(56\) 0.255917 + 0.436412i 0.0341983 + 0.0583180i
\(57\) 6.88024 + 3.14210i 0.911310 + 0.416181i
\(58\) −5.78146 + 6.49150i −0.759143 + 0.852375i
\(59\) −1.02028 + 7.09621i −0.132829 + 0.923847i 0.809013 + 0.587791i \(0.200002\pi\)
−0.941842 + 0.336056i \(0.890907\pi\)
\(60\) −6.61137 0.180011i −0.853524 0.0232394i
\(61\) 4.71849 + 1.38547i 0.604141 + 0.177392i 0.569477 0.822007i \(-0.307146\pi\)
0.0346641 + 0.999399i \(0.488964\pi\)
\(62\) 0.918644 5.82533i 0.116668 0.739818i
\(63\) −0.117133 0.135179i −0.0147574 0.0170310i
\(64\) 5.71461 5.59850i 0.714326 0.699813i
\(65\) 10.5594 + 9.14980i 1.30974 + 1.13489i
\(66\) 5.99993 + 0.0816666i 0.738540 + 0.0100525i
\(67\) 5.47104 2.49854i 0.668394 0.305245i −0.0521654 0.998638i \(-0.516612\pi\)
0.720560 + 0.693393i \(0.243885\pi\)
\(68\) −4.69121 + 6.88043i −0.568892 + 0.834374i
\(69\) −2.57453 + 4.04620i −0.309938 + 0.487106i
\(70\) −0.246573 + 0.799339i −0.0294711 + 0.0955393i
\(71\) −4.50355 + 2.05670i −0.534473 + 0.244085i −0.664320 0.747449i \(-0.731279\pi\)
0.129847 + 0.991534i \(0.458551\pi\)
\(72\) −1.62502 + 2.31502i −0.191510 + 0.272828i
\(73\) −2.24971 + 2.59631i −0.263309 + 0.303875i −0.871974 0.489553i \(-0.837160\pi\)
0.608665 + 0.793428i \(0.291706\pi\)
\(74\) 8.69693 7.33109i 1.01100 0.852222i
\(75\) −3.88703 4.48587i −0.448835 0.517984i
\(76\) −13.5843 6.65640i −1.55823 0.763541i
\(77\) 0.213816 0.728190i 0.0243666 0.0829849i
\(78\) 5.75558 1.60523i 0.651691 0.181757i
\(79\) −0.165519 + 1.15121i −0.0186223 + 0.129521i −0.997012 0.0772493i \(-0.975386\pi\)
0.978389 + 0.206770i \(0.0662953\pi\)
\(80\) 13.2080 + 0.719779i 1.47670 + 0.0804738i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −11.8031 5.58568i −1.30344 0.616835i
\(83\) −2.19154 3.41010i −0.240553 0.374307i 0.699895 0.714246i \(-0.253230\pi\)
−0.940448 + 0.339939i \(0.889594\pi\)
\(84\) 0.226821 + 0.276634i 0.0247482 + 0.0301832i
\(85\) −13.6290 + 1.95956i −1.47828 + 0.212544i
\(86\) 5.64196 + 12.8129i 0.608389 + 1.38165i
\(87\) −3.32318 + 5.17096i −0.356282 + 0.554386i
\(88\) −11.9910 0.489879i −1.27824 0.0522212i
\(89\) −4.25877 14.5041i −0.451429 1.53743i −0.799916 0.600113i \(-0.795122\pi\)
0.348487 0.937314i \(-0.386696\pi\)
\(90\) −4.63771 + 0.602497i −0.488857 + 0.0635088i
\(91\) 0.755738i 0.0792229i
\(92\) 5.36742 7.94927i 0.559592 0.828768i
\(93\) 4.17003i 0.432412i
\(94\) −2.06717 15.9120i −0.213213 1.64120i
\(95\) −7.04689 23.9995i −0.722995 2.46230i
\(96\) 3.37485 4.53987i 0.344444 0.463348i
\(97\) −1.67525 + 2.60673i −0.170095 + 0.264674i −0.915827 0.401573i \(-0.868464\pi\)
0.745732 + 0.666246i \(0.232100\pi\)
\(98\) −9.01862 + 3.97123i −0.911019 + 0.401155i
\(99\) 4.19980 0.603840i 0.422095 0.0606882i
\(100\) 7.52699 + 9.18000i 0.752699 + 0.918000i
\(101\) −4.33646 6.74767i −0.431494 0.671418i 0.555620 0.831436i \(-0.312481\pi\)
−0.987114 + 0.160019i \(0.948845\pi\)
\(102\) −2.51882 + 5.32253i −0.249401 + 0.527009i
\(103\) 0.457112 1.00094i 0.0450406 0.0986252i −0.885774 0.464117i \(-0.846372\pi\)
0.930815 + 0.365492i \(0.119099\pi\)
\(104\) −11.5943 + 2.89597i −1.13691 + 0.283974i
\(105\) −0.0841790 + 0.585478i −0.00821503 + 0.0571368i
\(106\) −3.05263 10.9452i −0.296498 1.06309i
\(107\) 0.726014 2.47258i 0.0701864 0.239033i −0.916927 0.399055i \(-0.869338\pi\)
0.987113 + 0.160022i \(0.0511565\pi\)
\(108\) −0.880038 + 1.79598i −0.0846817 + 0.172818i
\(109\) −2.66347 3.07381i −0.255114 0.294418i 0.613717 0.789526i \(-0.289674\pi\)
−0.868831 + 0.495109i \(0.835128\pi\)
\(110\) −12.7891 15.1719i −1.21940 1.44658i
\(111\) 5.26708 6.07854i 0.499929 0.576949i
\(112\) −0.438416 0.565410i −0.0414264 0.0534262i
\(113\) −17.6885 + 8.07804i −1.66399 + 0.759919i −0.664064 + 0.747675i \(0.731170\pi\)
−0.999925 + 0.0122431i \(0.996103\pi\)
\(114\) −10.2215 3.15304i −0.957333 0.295309i
\(115\) 15.6876 2.32806i 1.46287 0.217092i
\(116\) 6.92537 10.1572i 0.643005 0.943072i
\(117\) 3.84331 1.75518i 0.355315 0.162267i
\(118\) 0.137988 10.1378i 0.0127029 0.933261i
\(119\) 0.562853 + 0.487715i 0.0515967 + 0.0447088i
\(120\) 9.30477 0.952095i 0.849405 0.0869140i
\(121\) 4.58593 + 5.29245i 0.416903 + 0.481132i
\(122\) −6.86977 1.08335i −0.621960 0.0980820i
\(123\) −8.85944 2.60137i −0.798829 0.234557i
\(124\) −0.226996 + 8.33698i −0.0203848 + 0.748683i
\(125\) −0.440340 + 3.06263i −0.0393852 + 0.273930i
\(126\) 0.188900 + 0.168238i 0.0168285 + 0.0149878i
\(127\) 14.7617 + 6.74143i 1.30989 + 0.598205i 0.943227 0.332149i \(-0.107774\pi\)
0.366660 + 0.930355i \(0.380501\pi\)
\(128\) −6.99432 + 8.89266i −0.618216 + 0.786008i
\(129\) 5.35208 + 8.32801i 0.471225 + 0.733240i
\(130\) −16.4759 10.9081i −1.44503 0.956702i
\(131\) −1.49655 10.4087i −0.130754 0.909414i −0.944574 0.328298i \(-0.893525\pi\)
0.813820 0.581117i \(-0.197384\pi\)
\(132\) −8.42935 + 0.978616i −0.733681 + 0.0851776i
\(133\) −0.731439 + 1.13814i −0.0634238 + 0.0986894i
\(134\) −7.21753 + 4.50081i −0.623499 + 0.388811i
\(135\) −3.17296 + 0.931664i −0.273085 + 0.0801849i
\(136\) 5.32551 10.5040i 0.456659 0.900712i
\(137\) 6.83949i 0.584337i −0.956367 0.292168i \(-0.905623\pi\)
0.956367 0.292168i \(-0.0943768\pi\)
\(138\) 2.87341 6.14358i 0.244601 0.522976i
\(139\) 5.07955 0.430842 0.215421 0.976521i \(-0.430888\pi\)
0.215421 + 0.976521i \(0.430888\pi\)
\(140\) 0.200166 1.16594i 0.0169171 0.0985399i
\(141\) −3.19655 10.8864i −0.269198 0.916804i
\(142\) 5.94118 3.70489i 0.498573 0.310908i
\(143\) 15.0813 + 9.69216i 1.26116 + 0.810499i
\(144\) 1.85719 3.54272i 0.154766 0.295227i
\(145\) 20.1198 2.89279i 1.67086 0.240233i
\(146\) 2.68203 4.05102i 0.221967 0.335265i
\(147\) −5.86186 + 3.76719i −0.483478 + 0.310712i
\(148\) −10.8611 + 11.8659i −0.892781 + 0.975367i
\(149\) 4.29246 9.39917i 0.351652 0.770010i −0.648311 0.761376i \(-0.724524\pi\)
0.999963 0.00863434i \(-0.00274843\pi\)
\(150\) 6.26857 + 5.58292i 0.511827 + 0.455843i
\(151\) −16.0155 2.30268i −1.30332 0.187389i −0.544540 0.838735i \(-0.683296\pi\)
−0.758781 + 0.651346i \(0.774205\pi\)
\(152\) 20.2638 + 6.86015i 1.64361 + 0.556431i
\(153\) −1.17307 + 3.99510i −0.0948369 + 0.322985i
\(154\) −0.167190 + 1.06019i −0.0134726 + 0.0854325i
\(155\) −10.4217 + 9.03048i −0.837094 + 0.725346i
\(156\) −7.77933 + 3.29985i −0.622844 + 0.264200i
\(157\) 3.99975 4.61596i 0.319215 0.368394i −0.573352 0.819309i \(-0.694357\pi\)
0.892567 + 0.450916i \(0.148903\pi\)
\(158\) 0.0223857 1.64465i 0.00178091 0.130841i
\(159\) −3.33778 7.30873i −0.264703 0.579620i
\(160\) −18.6545 + 1.39698i −1.47477 + 0.110441i
\(161\) −0.650832 0.558811i −0.0512927 0.0440405i
\(162\) −0.416861 + 1.35138i −0.0327517 + 0.106174i
\(163\) −8.16187 17.8720i −0.639287 1.39984i −0.900626 0.434596i \(-0.856891\pi\)
0.261339 0.965247i \(-0.415836\pi\)
\(164\) 17.5707 + 5.68307i 1.37204 + 0.443773i
\(165\) −10.6040 9.18846i −0.825524 0.715321i
\(166\) 3.69477 + 4.38314i 0.286770 + 0.340197i
\(167\) −13.5147 + 11.7106i −1.04580 + 0.906193i −0.995708 0.0925516i \(-0.970498\pi\)
−0.0500945 + 0.998744i \(0.515952\pi\)
\(168\) −0.368502 0.346634i −0.0284305 0.0267434i
\(169\) 4.65521 + 1.36689i 0.358093 + 0.105146i
\(170\) 18.7567 5.23126i 1.43858 0.401220i
\(171\) −7.48678 1.07644i −0.572528 0.0823171i
\(172\) −10.2469 16.9412i −0.781316 1.29175i
\(173\) −0.0492606 0.0224965i −0.00374521 0.00171038i 0.413542 0.910485i \(-0.364292\pi\)
−0.417287 + 0.908775i \(0.637019\pi\)
\(174\) 3.71840 7.85737i 0.281891 0.595666i
\(175\) 0.893155 0.573996i 0.0675162 0.0433900i
\(176\) 16.9057 1.49766i 1.27432 0.112890i
\(177\) −1.02028 7.09621i −0.0766890 0.533383i
\(178\) 8.61517 + 19.5650i 0.645734 + 1.46646i
\(179\) 9.70920 + 6.23972i 0.725699 + 0.466379i 0.850615 0.525789i \(-0.176230\pi\)
−0.124916 + 0.992167i \(0.539866\pi\)
\(180\) 6.39428 1.68992i 0.476601 0.125959i
\(181\) 13.8837 4.07661i 1.03196 0.303012i 0.278455 0.960449i \(-0.410178\pi\)
0.753510 + 0.657437i \(0.228359\pi\)
\(182\) 0.137691 + 1.05987i 0.0102063 + 0.0785627i
\(183\) −4.91769 −0.363526
\(184\) −6.07911 + 12.1262i −0.448158 + 0.893954i
\(185\) −26.5977 −1.95550
\(186\) 0.759753 + 5.84818i 0.0557078 + 0.428809i
\(187\) −16.9512 + 4.97731i −1.23959 + 0.363977i
\(188\) 5.79812 + 21.9388i 0.422872 + 1.60005i
\(189\) 0.150473 + 0.0967030i 0.0109453 + 0.00703411i
\(190\) 14.2553 + 32.3737i 1.03419 + 2.34863i
\(191\) −0.494019 3.43598i −0.0357460 0.248619i 0.964112 0.265497i \(-0.0855362\pi\)
−0.999858 + 0.0168788i \(0.994627\pi\)
\(192\) −3.90585 + 6.98172i −0.281880 + 0.503862i
\(193\) 4.78026 3.07209i 0.344091 0.221134i −0.357169 0.934040i \(-0.616258\pi\)
0.701259 + 0.712906i \(0.252621\pi\)
\(194\) 1.87448 3.96097i 0.134580 0.284381i
\(195\) −12.7095 5.80423i −0.910146 0.415650i
\(196\) 11.9244 7.21250i 0.851746 0.515178i
\(197\) −7.82534 1.12511i −0.557533 0.0801611i −0.142212 0.989836i \(-0.545421\pi\)
−0.415321 + 0.909675i \(0.636331\pi\)
\(198\) −5.77990 + 1.61202i −0.410760 + 0.114561i
\(199\) 2.63129 + 0.772617i 0.186527 + 0.0547694i 0.373662 0.927565i \(-0.378102\pi\)
−0.187135 + 0.982334i \(0.559920\pi\)
\(200\) −12.2286 11.5029i −0.864692 0.813380i
\(201\) −4.54551 + 3.93870i −0.320615 + 0.277815i
\(202\) 7.31096 + 8.67304i 0.514397 + 0.610233i
\(203\) −0.830910 0.719987i −0.0583184 0.0505332i
\(204\) 2.56274 7.92339i 0.179428 0.554748i
\(205\) 12.6844 + 27.7749i 0.885915 + 1.93988i
\(206\) −0.458703 + 1.48702i −0.0319594 + 0.103606i
\(207\) 1.33030 4.60764i 0.0924622 0.320253i
\(208\) 15.7325 6.17380i 1.09085 0.428076i
\(209\) −13.3319 29.1928i −0.922186 2.01931i
\(210\) 0.0113848 0.836428i 0.000785628 0.0577190i
\(211\) 7.72069 8.91015i 0.531514 0.613400i −0.424962 0.905211i \(-0.639712\pi\)
0.956476 + 0.291811i \(0.0942579\pi\)
\(212\) 6.27524 + 14.7937i 0.430985 + 1.01604i
\(213\) 3.74168 3.24219i 0.256376 0.222151i
\(214\) −0.567696 + 3.59989i −0.0388069 + 0.246083i
\(215\) 9.22303 31.4108i 0.629005 2.14220i
\(216\) 0.906975 2.67907i 0.0617118 0.182287i
\(217\) 0.738291 + 0.106150i 0.0501185 + 0.00720595i
\(218\) 4.29536 + 3.82553i 0.290918 + 0.259098i
\(219\) 1.42712 3.12496i 0.0964358 0.211165i
\(220\) 20.7001 + 18.9473i 1.39560 + 1.27743i
\(221\) −14.7997 + 9.51119i −0.995536 + 0.639792i
\(222\) −6.27923 + 9.48434i −0.421435 + 0.636547i
\(223\) −15.3739 + 2.21044i −1.02951 + 0.148022i −0.636313 0.771431i \(-0.719541\pi\)
−0.393201 + 0.919452i \(0.628632\pi\)
\(224\) 0.717861 + 0.713071i 0.0479641 + 0.0476440i
\(225\) 4.99339 + 3.20906i 0.332893 + 0.213937i
\(226\) 23.3350 14.5516i 1.55222 0.967958i
\(227\) 1.33748 + 4.55505i 0.0887718 + 0.302329i 0.991896 0.127050i \(-0.0405508\pi\)
−0.903125 + 0.429379i \(0.858733\pi\)
\(228\) 14.9094 + 2.55962i 0.987400 + 0.169515i
\(229\) 6.56624 0.433909 0.216955 0.976182i \(-0.430388\pi\)
0.216955 + 0.976182i \(0.430388\pi\)
\(230\) −21.5766 + 6.12311i −1.42272 + 0.403746i
\(231\) 0.758932i 0.0499340i
\(232\) −7.86177 + 15.5065i −0.516150 + 1.01805i
\(233\) 6.34692 1.86362i 0.415800 0.122090i −0.0671393 0.997744i \(-0.521387\pi\)
0.482940 + 0.875654i \(0.339569\pi\)
\(234\) −5.07019 + 3.16175i −0.331449 + 0.206690i
\(235\) −20.2850 + 31.5641i −1.32325 + 2.05902i
\(236\) 1.65352 + 14.2427i 0.107635 + 0.927120i
\(237\) −0.165519 1.15121i −0.0107516 0.0747791i
\(238\) −0.878220 0.581437i −0.0569265 0.0376890i
\(239\) −3.44777 5.36484i −0.223018 0.347023i 0.711656 0.702528i \(-0.247945\pi\)
−0.934674 + 0.355505i \(0.884309\pi\)
\(240\) −12.8758 + 3.03051i −0.831130 + 0.195619i
\(241\) 3.64864 + 1.66628i 0.235030 + 0.107335i 0.529449 0.848342i \(-0.322399\pi\)
−0.294419 + 0.955676i \(0.595126\pi\)
\(242\) −7.39570 6.58676i −0.475413 0.423413i
\(243\) −0.142315 + 0.989821i −0.00912950 + 0.0634971i
\(244\) 9.83175 + 0.267694i 0.629413 + 0.0171374i
\(245\) 22.1092 + 6.49184i 1.41250 + 0.414749i
\(246\) 12.8987 + 2.03410i 0.822390 + 0.129689i
\(247\) −20.9280 24.1522i −1.33161 1.53677i
\(248\) −1.20060 11.7334i −0.0762380 0.745070i
\(249\) 3.06350 + 2.65454i 0.194142 + 0.168225i
\(250\) 0.0595541 4.37535i 0.00376653 0.276722i
\(251\) −10.3142 + 4.71034i −0.651027 + 0.297314i −0.713419 0.700738i \(-0.752854\pi\)
0.0623919 + 0.998052i \(0.480127\pi\)
\(252\) −0.295570 0.201525i −0.0186192 0.0126949i
\(253\) 19.4982 5.82119i 1.22584 0.365975i
\(254\) −21.9304 6.76490i −1.37604 0.424467i
\(255\) 12.5249 5.71993i 0.784339 0.358196i
\(256\) 8.18885 13.7456i 0.511803 0.859103i
\(257\) −15.0869 + 17.4112i −0.941095 + 1.08608i 0.0550603 + 0.998483i \(0.482465\pi\)
−0.996156 + 0.0875990i \(0.972081\pi\)
\(258\) −9.02322 10.7043i −0.561761 0.666422i
\(259\) 0.942109 + 1.08725i 0.0585398 + 0.0675586i
\(260\) 25.0936 + 12.2960i 1.55624 + 0.762566i
\(261\) 1.73174 5.89775i 0.107192 0.365062i
\(262\) 3.99520 + 14.3248i 0.246824 + 0.884991i
\(263\) 0.162510 1.13028i 0.0100208 0.0696962i −0.984197 0.177075i \(-0.943337\pi\)
0.994218 + 0.107379i \(0.0342457\pi\)
\(264\) 11.6433 2.90821i 0.716593 0.178988i
\(265\) −11.0377 + 24.1693i −0.678044 + 1.48471i
\(266\) 0.818429 1.72942i 0.0501811 0.106038i
\(267\) 8.17253 + 12.7167i 0.500151 + 0.778249i
\(268\) 9.30205 7.62705i 0.568213 0.465896i
\(269\) −20.9038 + 3.00552i −1.27453 + 0.183249i −0.746160 0.665766i \(-0.768105\pi\)
−0.528368 + 0.849016i \(0.677196\pi\)
\(270\) 4.28010 1.88468i 0.260479 0.114698i
\(271\) −4.72777 + 7.35656i −0.287192 + 0.446879i −0.954634 0.297783i \(-0.903753\pi\)
0.667442 + 0.744662i \(0.267389\pi\)
\(272\) −5.55489 + 15.7014i −0.336815 + 0.952037i
\(273\) 0.212916 + 0.725126i 0.0128863 + 0.0438866i
\(274\) 1.24611 + 9.59189i 0.0752802 + 0.579467i
\(275\) 25.1849i 1.51871i
\(276\) −2.91043 + 9.13944i −0.175187 + 0.550130i
\(277\) 24.3712i 1.46433i −0.681130 0.732163i \(-0.738511\pi\)
0.681130 0.732163i \(-0.261489\pi\)
\(278\) −7.12370 + 0.925460i −0.427251 + 0.0555054i
\(279\) 1.17483 + 4.00112i 0.0703355 + 0.239541i
\(280\) −0.0682921 + 1.67162i −0.00408124 + 0.0998982i
\(281\) 8.49103 13.2123i 0.506533 0.788180i −0.489970 0.871739i \(-0.662992\pi\)
0.996503 + 0.0835592i \(0.0266288\pi\)
\(282\) 6.46637 + 14.6851i 0.385067 + 0.874483i
\(283\) 28.6312 4.11655i 1.70195 0.244703i 0.778286 0.627910i \(-0.216089\pi\)
0.923663 + 0.383206i \(0.125180\pi\)
\(284\) −7.65708 + 6.27829i −0.454364 + 0.372548i
\(285\) 13.5229 + 21.0420i 0.801026 + 1.24642i
\(286\) −22.9163 10.8448i −1.35507 0.641269i
\(287\) 0.686085 1.50232i 0.0404983 0.0886789i
\(288\) −1.95911 + 5.30678i −0.115442 + 0.312705i
\(289\) 0.0479490 0.333492i 0.00282053 0.0196172i
\(290\) −27.6896 + 7.72263i −1.62599 + 0.453489i
\(291\) 0.872985 2.97311i 0.0511753 0.174287i
\(292\) −3.02329 + 6.16991i −0.176925 + 0.361067i
\(293\) −20.2139 23.3280i −1.18091 1.36284i −0.917295 0.398209i \(-0.869632\pi\)
−0.263611 0.964629i \(-0.584914\pi\)
\(294\) 7.53448 6.35120i 0.439420 0.370410i
\(295\) −15.5253 + 17.9172i −0.903919 + 1.04318i
\(296\) 13.0701 18.6198i 0.759684 1.08226i
\(297\) −3.85955 + 1.76260i −0.223954 + 0.102276i
\(298\) −4.30740 + 13.9637i −0.249521 + 0.808897i
\(299\) 16.9966 11.0321i 0.982937 0.638000i
\(300\) −9.80840 6.68755i −0.566288 0.386106i
\(301\) −1.61069 + 0.735576i −0.0928385 + 0.0423979i
\(302\) 22.8801 + 0.311427i 1.31660 + 0.0179206i
\(303\) 6.06184 + 5.25262i 0.348244 + 0.301755i
\(304\) −29.6684 5.92893i −1.70160 0.340047i
\(305\) 10.6496 + 12.2903i 0.609794 + 0.703740i
\(306\) 0.917262 5.81657i 0.0524364 0.332511i
\(307\) −9.28475 2.72625i −0.529908 0.155595i 0.00582388 0.999983i \(-0.498146\pi\)
−0.535732 + 0.844388i \(0.679964\pi\)
\(308\) 0.0413124 1.51730i 0.00235399 0.0864563i
\(309\) −0.156600 + 1.08917i −0.00890864 + 0.0619610i
\(310\) 12.9704 14.5634i 0.736672 0.827144i
\(311\) 4.76404 + 2.17566i 0.270144 + 0.123371i 0.545882 0.837862i \(-0.316195\pi\)
−0.275738 + 0.961233i \(0.588922\pi\)
\(312\) 10.3087 6.04515i 0.583617 0.342239i
\(313\) −14.3562 22.3387i −0.811462 1.26266i −0.961726 0.274014i \(-0.911649\pi\)
0.150263 0.988646i \(-0.451988\pi\)
\(314\) −4.76837 + 7.20228i −0.269095 + 0.406448i
\(315\) −0.0841790 0.585478i −0.00474295 0.0329879i
\(316\) 0.268249 + 2.31058i 0.0150902 + 0.129980i
\(317\) 18.5611 28.8816i 1.04250 1.62215i 0.297952 0.954581i \(-0.403696\pi\)
0.744543 0.667574i \(-0.232667\pi\)
\(318\) 6.01260 + 9.64184i 0.337170 + 0.540688i
\(319\) 25.0241 7.34773i 1.40108 0.411394i
\(320\) 25.9070 5.35789i 1.44825 0.299515i
\(321\) 2.57696i 0.143832i
\(322\) 1.01456 + 0.665116i 0.0565390 + 0.0370654i
\(323\) 31.4937 1.75236
\(324\) 0.338405 1.97116i 0.0188003 0.109509i
\(325\) 7.06555 + 24.0631i 0.391926 + 1.33478i
\(326\) 14.7026 + 23.5772i 0.814302 + 1.30582i
\(327\) 3.42158 + 2.19891i 0.189214 + 0.121600i
\(328\) −25.6771 4.76883i −1.41778 0.263315i
\(329\) 2.00878 0.288819i 0.110748 0.0159231i
\(330\) 16.5455 + 10.9542i 0.910800 + 0.603007i
\(331\) −9.75729 + 6.27063i −0.536309 + 0.344665i −0.780594 0.625039i \(-0.785083\pi\)
0.244285 + 0.969704i \(0.421447\pi\)
\(332\) −5.98023 5.47387i −0.328208 0.300418i
\(333\) −3.34121 + 7.31622i −0.183097 + 0.400926i
\(334\) 16.8199 18.8856i 0.920342 1.03337i
\(335\) 19.6872 + 2.83059i 1.07563 + 0.154652i
\(336\) 0.579951 + 0.418991i 0.0316389 + 0.0228578i
\(337\) 6.98340 23.7833i 0.380410 1.29556i −0.517615 0.855614i \(-0.673180\pi\)
0.898025 0.439945i \(-0.145002\pi\)
\(338\) −6.77763 1.06882i −0.368655 0.0581362i
\(339\) 14.6961 12.7342i 0.798182 0.691629i
\(340\) −25.3519 + 10.7538i −1.37490 + 0.583208i
\(341\) −11.5867 + 13.3718i −0.627455 + 0.724122i
\(342\) 10.6958 + 0.145583i 0.578362 + 0.00787223i
\(343\) −1.03788 2.27264i −0.0560404 0.122711i
\(344\) 17.4571 + 21.8919i 0.941222 + 1.18033i
\(345\) −14.3962 + 6.65346i −0.775067 + 0.358210i
\(346\) 0.0731832 + 0.0225749i 0.00393435 + 0.00121363i
\(347\) 9.22784 + 20.2061i 0.495376 + 1.08472i 0.977945 + 0.208864i \(0.0669767\pi\)
−0.482568 + 0.875858i \(0.660296\pi\)
\(348\) −3.78323 + 11.6969i −0.202803 + 0.627018i
\(349\) −6.02324 5.21916i −0.322416 0.279375i 0.478581 0.878044i \(-0.341151\pi\)
−0.800997 + 0.598668i \(0.795697\pi\)
\(350\) −1.14801 + 0.967715i −0.0613636 + 0.0517266i
\(351\) −3.19314 + 2.76687i −0.170437 + 0.147685i
\(352\) −23.4362 + 5.18047i −1.24915 + 0.276120i
\(353\) −12.3201 3.61751i −0.655733 0.192540i −0.0630923 0.998008i \(-0.520096\pi\)
−0.592640 + 0.805467i \(0.701914\pi\)
\(354\) 2.72375 + 9.76603i 0.144766 + 0.519059i
\(355\) −16.2057 2.33003i −0.860110 0.123665i
\(356\) −15.6468 25.8688i −0.829277 1.37105i
\(357\) −0.677459 0.309385i −0.0358549 0.0163744i
\(358\) −14.7533 6.98181i −0.779736 0.369000i
\(359\) 11.0253 7.08555i 0.581895 0.373961i −0.216331 0.976320i \(-0.569409\pi\)
0.798225 + 0.602359i \(0.205773\pi\)
\(360\) −8.65963 + 3.53499i −0.456402 + 0.186310i
\(361\) 5.43792 + 37.8216i 0.286206 + 1.99061i
\(362\) −18.7281 + 8.24667i −0.984328 + 0.433435i
\(363\) −5.89123 3.78606i −0.309209 0.198717i
\(364\) −0.386202 1.46130i −0.0202425 0.0765932i
\(365\) −10.9004 + 3.20065i −0.570553 + 0.167530i
\(366\) 6.89672 0.895972i 0.360497 0.0468332i
\(367\) 35.7269 1.86493 0.932465 0.361261i \(-0.117654\pi\)
0.932465 + 0.361261i \(0.117654\pi\)
\(368\) 6.31621 18.1137i 0.329255 0.944241i
\(369\) 9.23346 0.480675
\(370\) 37.3013 4.84592i 1.93920 0.251927i
\(371\) 1.37895 0.404897i 0.0715916 0.0210212i
\(372\) −2.13100 8.06323i −0.110487 0.418059i
\(373\) −2.82182 1.81347i −0.146108 0.0938981i 0.465544 0.885025i \(-0.345859\pi\)
−0.611653 + 0.791126i \(0.709495\pi\)
\(374\) 22.8659 10.0687i 1.18237 0.520640i
\(375\) −0.440340 3.06263i −0.0227391 0.158154i
\(376\) −12.1286 29.7112i −0.625483 1.53224i
\(377\) 21.8480 14.0409i 1.12523 0.723141i
\(378\) −0.228646 0.108204i −0.0117603 0.00556541i
\(379\) −22.7004 10.3669i −1.16604 0.532514i −0.264153 0.964481i \(-0.585092\pi\)
−0.901889 + 0.431967i \(0.857820\pi\)
\(380\) −25.8903 42.8045i −1.32815 2.19583i
\(381\) −16.0630 2.30951i −0.822933 0.118320i
\(382\) 1.31884 + 4.72871i 0.0674777 + 0.241942i
\(383\) 1.10946 + 0.325768i 0.0566909 + 0.0166460i 0.309955 0.950751i \(-0.399686\pi\)
−0.253264 + 0.967397i \(0.581504\pi\)
\(384\) 4.20565 10.5030i 0.214619 0.535978i
\(385\) 1.89672 1.64352i 0.0966658 0.0837614i
\(386\) −6.14426 + 5.17931i −0.312735 + 0.263620i
\(387\) −7.48156 6.48281i −0.380309 0.329540i
\(388\) −1.90716 + 5.89650i −0.0968216 + 0.299350i
\(389\) 4.99820 + 10.9445i 0.253419 + 0.554910i 0.992994 0.118164i \(-0.0377009\pi\)
−0.739575 + 0.673074i \(0.764974\pi\)
\(390\) 18.8817 + 5.82443i 0.956110 + 0.294932i
\(391\) −2.75235 + 19.7781i −0.139192 + 1.00022i
\(392\) −15.4091 + 12.2876i −0.778278 + 0.620616i
\(393\) 4.36840 + 9.56547i 0.220357 + 0.482514i
\(394\) 11.1795 + 0.152167i 0.563214 + 0.00766605i
\(395\) −2.51866 + 2.90668i −0.126727 + 0.146251i
\(396\) 7.81220 3.31380i 0.392578 0.166525i
\(397\) 2.35523 2.04082i 0.118206 0.102426i −0.593752 0.804648i \(-0.702354\pi\)
0.711958 + 0.702222i \(0.247809\pi\)
\(398\) −3.83097 0.604136i −0.192029 0.0302826i
\(399\) 0.381159 1.29811i 0.0190818 0.0649867i
\(400\) 19.2455 + 13.9041i 0.962275 + 0.695203i
\(401\) −20.9463 3.01162i −1.04601 0.150393i −0.402177 0.915562i \(-0.631746\pi\)
−0.643830 + 0.765169i \(0.722656\pi\)
\(402\) 5.65714 6.35191i 0.282153 0.316804i
\(403\) −7.31917 + 16.0268i −0.364594 + 0.798350i
\(404\) −11.8333 10.8313i −0.588727 0.538878i
\(405\) 2.78195 1.78785i 0.138236 0.0888390i
\(406\) 1.29647 + 0.858345i 0.0643427 + 0.0425989i
\(407\) −33.7792 + 4.85672i −1.67437 + 0.240738i
\(408\) −2.15047 + 11.5789i −0.106464 + 0.573241i
\(409\) 6.42463 + 4.12886i 0.317678 + 0.204159i 0.689755 0.724043i \(-0.257718\pi\)
−0.372078 + 0.928202i \(0.621355\pi\)
\(410\) −22.8493 36.6413i −1.12845 1.80959i
\(411\) 1.92691 + 6.56244i 0.0950473 + 0.323701i
\(412\) 0.372372 2.16902i 0.0183455 0.106860i
\(413\) 1.28233 0.0630995
\(414\) −1.02617 + 6.70425i −0.0504335 + 0.329496i
\(415\) 13.4049i 0.658019i
\(416\) −20.9389 + 11.5247i −1.02661 + 0.565043i
\(417\) −4.87379 + 1.43107i −0.238671 + 0.0700800i
\(418\) 24.0157 + 38.5118i 1.17465 + 1.88367i
\(419\) 12.0963 18.8222i 0.590944 0.919526i −0.409032 0.912520i \(-0.634134\pi\)
0.999975 0.00700607i \(-0.00223012\pi\)
\(420\) 0.136425 + 1.17510i 0.00665687 + 0.0573392i
\(421\) 0.932102 + 6.48291i 0.0454279 + 0.315958i 0.999847 + 0.0174884i \(0.00556701\pi\)
−0.954419 + 0.298469i \(0.903524\pi\)
\(422\) −9.20434 + 13.9025i −0.448060 + 0.676763i
\(423\) 6.13413 + 9.54489i 0.298252 + 0.464089i
\(424\) −11.4959 19.6038i −0.558290 0.952047i
\(425\) −22.4812 10.2668i −1.09050 0.498015i
\(426\) −4.65674 + 5.22864i −0.225620 + 0.253329i
\(427\) 0.125182 0.870662i 0.00605800 0.0421343i
\(428\) 0.140277 5.15201i 0.00678053 0.249032i
\(429\) −17.2010 5.05067i −0.830472 0.243848i
\(430\) −7.21181 + 45.7317i −0.347784 + 2.20538i
\(431\) 11.9982 + 13.8467i 0.577933 + 0.666970i 0.967159 0.254172i \(-0.0818031\pi\)
−0.389226 + 0.921142i \(0.627258\pi\)
\(432\) −0.783860 + 3.92244i −0.0377135 + 0.188719i
\(433\) −13.6509 11.8286i −0.656022 0.568446i 0.261955 0.965080i \(-0.415633\pi\)
−0.917977 + 0.396634i \(0.870178\pi\)
\(434\) −1.05474 0.0143563i −0.0506292 0.000689127i
\(435\) −18.4898 + 8.44402i −0.886519 + 0.404860i
\(436\) −6.72092 4.58245i −0.321874 0.219460i
\(437\) −36.2742 + 0.164189i −1.73523 + 0.00785421i
\(438\) −1.43209 + 4.64254i −0.0684278 + 0.221829i
\(439\) −6.61280 + 3.01996i −0.315612 + 0.144135i −0.566922 0.823772i \(-0.691866\pi\)
0.251310 + 0.967907i \(0.419139\pi\)
\(440\) −32.4824 22.8009i −1.54854 1.08699i
\(441\) 4.56307 5.26607i 0.217289 0.250765i
\(442\) 19.0227 16.0352i 0.904815 0.762716i
\(443\) 0.855099 + 0.986837i 0.0406270 + 0.0468860i 0.775699 0.631103i \(-0.217397\pi\)
−0.735072 + 0.677989i \(0.762852\pi\)
\(444\) 7.07819 14.4451i 0.335916 0.685536i
\(445\) 14.0834 47.9636i 0.667616 2.27369i
\(446\) 21.1581 5.90101i 1.00187 0.279421i
\(447\) −1.47053 + 10.2278i −0.0695537 + 0.483757i
\(448\) −1.13667 0.869241i −0.0537024 0.0410678i
\(449\) −6.78879 + 14.8654i −0.320383 + 0.701541i −0.999471 0.0325158i \(-0.989648\pi\)
0.679088 + 0.734057i \(0.262375\pi\)
\(450\) −7.58754 3.59071i −0.357680 0.169268i
\(451\) 21.1809 + 32.9581i 0.997370 + 1.55194i
\(452\) −30.0745 + 24.6591i −1.41459 + 1.15986i
\(453\) 16.0155 2.30268i 0.752473 0.108189i
\(454\) −2.70562 6.14445i −0.126981 0.288373i
\(455\) 1.35115 2.10243i 0.0633428 0.0985633i
\(456\) −21.3757 0.873283i −1.00101 0.0408952i
\(457\) −4.60437 15.6810i −0.215383 0.733528i −0.994321 0.106426i \(-0.966059\pi\)
0.778937 0.627102i \(-0.215759\pi\)
\(458\) −9.20868 + 1.19633i −0.430293 + 0.0559006i
\(459\) 4.16376i 0.194348i
\(460\) 29.1440 12.5183i 1.35885 0.583670i
\(461\) 24.8705i 1.15833i 0.815209 + 0.579166i \(0.196622\pi\)
−0.815209 + 0.579166i \(0.803378\pi\)
\(462\) −0.138272 1.06435i −0.00643301 0.0495179i
\(463\) −2.10610 7.17273i −0.0978789 0.333345i 0.895966 0.444122i \(-0.146484\pi\)
−0.993845 + 0.110777i \(0.964666\pi\)
\(464\) 8.20038 23.1791i 0.380693 1.07606i
\(465\) 7.45540 11.6008i 0.345736 0.537976i
\(466\) −8.56156 + 3.76997i −0.396607 + 0.174640i
\(467\) 22.2660 3.20137i 1.03035 0.148142i 0.393655 0.919258i \(-0.371210\pi\)
0.636694 + 0.771116i \(0.280301\pi\)
\(468\) 6.53453 5.35788i 0.302059 0.247668i
\(469\) −0.581627 0.905029i −0.0268570 0.0417904i
\(470\) 22.6975 47.9622i 1.04696 2.21233i
\(471\) −2.53727 + 5.55584i −0.116911 + 0.256000i
\(472\) −4.91387 19.6731i −0.226179 0.905528i
\(473\) 5.97772 41.5760i 0.274856 1.91167i
\(474\) 0.441871 + 1.58433i 0.0202958 + 0.0727708i
\(475\) 12.6486 43.0773i 0.580359 1.97652i
\(476\) 1.33757 + 0.655419i 0.0613076 + 0.0300411i
\(477\) 5.26169 + 6.07231i 0.240916 + 0.278032i
\(478\) 5.81270 + 6.89564i 0.265867 + 0.315399i
\(479\) −0.788921 + 0.910464i −0.0360467 + 0.0416001i −0.773487 0.633813i \(-0.781489\pi\)
0.737440 + 0.675413i \(0.236034\pi\)
\(480\) 17.5053 6.59596i 0.799002 0.301063i
\(481\) −30.9120 + 14.1170i −1.40947 + 0.643681i
\(482\) −5.42055 1.67208i −0.246899 0.0761611i
\(483\) 0.781904 + 0.352815i 0.0355779 + 0.0160536i
\(484\) 11.5720 + 7.89001i 0.526000 + 0.358637i
\(485\) −9.32090 + 4.25671i −0.423240 + 0.193287i
\(486\) 0.0192474 1.41408i 0.000873082 0.0641441i
\(487\) −0.827950 0.717423i −0.0375180 0.0325095i 0.635900 0.771771i \(-0.280629\pi\)
−0.673418 + 0.739262i \(0.735175\pi\)
\(488\) −13.8371 + 1.41586i −0.626376 + 0.0640928i
\(489\) 12.8664 + 14.8486i 0.581838 + 0.671477i
\(490\) −32.1893 5.07620i −1.45417 0.229319i
\(491\) −3.06799 0.900842i −0.138456 0.0406544i 0.211770 0.977319i \(-0.432077\pi\)
−0.350226 + 0.936665i \(0.613895\pi\)
\(492\) −18.4601 0.502623i −0.832245 0.0226600i
\(493\) −3.64234 + 25.3331i −0.164043 + 1.14094i
\(494\) 33.7503 + 30.0587i 1.51850 + 1.35241i
\(495\) 12.7632 + 5.82876i 0.573663 + 0.261983i
\(496\) 3.82150 + 16.2365i 0.171590 + 0.729039i
\(497\) 0.478772 + 0.744984i 0.0214759 + 0.0334171i
\(498\) −4.77998 3.16465i −0.214196 0.141811i
\(499\) −1.40054 9.74097i −0.0626968 0.436066i −0.996858 0.0792136i \(-0.974759\pi\)
0.934161 0.356852i \(-0.116150\pi\)
\(500\) 0.713640 + 6.14697i 0.0319150 + 0.274901i
\(501\) 9.66805 15.0438i 0.431937 0.672106i
\(502\) 13.6068 8.48510i 0.607299 0.378709i
\(503\) 1.54056 0.452348i 0.0686900 0.0201692i −0.247207 0.968963i \(-0.579513\pi\)
0.315897 + 0.948793i \(0.397695\pi\)
\(504\) 0.451233 + 0.228774i 0.0200995 + 0.0101904i
\(505\) 26.5246i 1.18033i
\(506\) −26.2843 + 11.7162i −1.16848 + 0.520851i
\(507\) −4.85174 −0.215473
\(508\) 31.9884 + 5.49170i 1.41926 + 0.243655i
\(509\) 0.730130 + 2.48659i 0.0323624 + 0.110216i 0.974090 0.226159i \(-0.0726170\pi\)
−0.941728 + 0.336376i \(0.890799\pi\)
\(510\) −16.5231 + 10.3037i −0.731657 + 0.456257i
\(511\) 0.516936 + 0.332214i 0.0228679 + 0.0146963i
\(512\) −8.97991 + 20.7692i −0.396860 + 0.917879i
\(513\) 7.48678 1.07644i 0.330549 0.0475258i
\(514\) 17.9861 27.1667i 0.793333 1.19827i
\(515\) 3.06119 1.96731i 0.134892 0.0866899i
\(516\) 14.6047 + 13.3681i 0.642935 + 0.588496i
\(517\) −19.9985 + 43.7906i −0.879534 + 1.92591i
\(518\) −1.51933 1.35315i −0.0667556 0.0594539i
\(519\) 0.0536032 + 0.00770697i 0.00235292 + 0.000338299i
\(520\) −37.4323 12.6724i −1.64151 0.555720i
\(521\) 6.71392 22.8655i 0.294142 1.00176i −0.671310 0.741177i \(-0.734268\pi\)
0.965452 0.260580i \(-0.0839137\pi\)
\(522\) −1.35410 + 8.58669i −0.0592675 + 0.375829i
\(523\) −3.97687 + 3.44598i −0.173896 + 0.150682i −0.737461 0.675390i \(-0.763975\pi\)
0.563564 + 0.826072i \(0.309430\pi\)
\(524\) −8.21288 19.3616i −0.358781 0.845818i
\(525\) −0.695263 + 0.802376i −0.0303438 + 0.0350186i
\(526\) −0.0219788 + 1.61475i −0.000958320 + 0.0704064i
\(527\) −7.21287 15.7940i −0.314197 0.687996i
\(528\) −15.7990 + 6.19988i −0.687563 + 0.269815i
\(529\) 3.06702 22.7946i 0.133349 0.991069i
\(530\) 11.0762 35.9067i 0.481118 1.55969i
\(531\) 2.97818 + 6.52131i 0.129242 + 0.283001i
\(532\) −0.832698 + 2.57451i −0.0361020 + 0.111619i
\(533\) 29.4837 + 25.5478i 1.27708 + 1.10660i
\(534\) −13.7783 16.3453i −0.596245 0.707329i
\(535\) 6.44033 5.58058i 0.278440 0.241269i
\(536\) −11.6559 + 12.3912i −0.503456 + 0.535217i
\(537\) −11.0738 3.25157i −0.477871 0.140316i
\(538\) 28.7685 8.02356i 1.24030 0.345920i
\(539\) 29.2642 + 4.20756i 1.26050 + 0.181232i
\(540\) −5.65916 + 3.42294i −0.243531 + 0.147300i
\(541\) −35.5464 16.2335i −1.52826 0.697933i −0.538760 0.842460i \(-0.681107\pi\)
−0.989501 + 0.144526i \(0.953834\pi\)
\(542\) 5.29005 11.1784i 0.227227 0.480154i
\(543\) −12.1728 + 7.82296i −0.522383 + 0.335715i
\(544\) 4.92964 23.0322i 0.211357 0.987495i
\(545\) −1.91413 13.3131i −0.0819924 0.570270i
\(546\) −0.430713 0.978145i −0.0184328 0.0418607i
\(547\) 7.64958 + 4.91609i 0.327073 + 0.210197i 0.693863 0.720107i \(-0.255907\pi\)
−0.366791 + 0.930303i \(0.619544\pi\)
\(548\) −3.49516 13.2249i −0.149306 0.564940i
\(549\) 4.71849 1.38547i 0.201380 0.0591306i
\(550\) −4.58852 35.3200i −0.195655 1.50605i
\(551\) −46.4925 −1.98065
\(552\) 2.41653 13.3477i 0.102854 0.568115i
\(553\) 0.208031 0.00884639
\(554\) 4.44028 + 34.1789i 0.188649 + 1.45212i
\(555\) 25.5203 7.49343i 1.08328 0.318078i
\(556\) 9.82187 2.59578i 0.416540 0.110086i
\(557\) 5.65606 + 3.63493i 0.239655 + 0.154017i 0.654956 0.755667i \(-0.272687\pi\)
−0.415301 + 0.909684i \(0.636324\pi\)
\(558\) −2.37660 5.39724i −0.100609 0.228483i
\(559\) −5.95257 41.4010i −0.251767 1.75108i
\(560\) −0.208783 2.35676i −0.00882268 0.0995915i
\(561\) 14.8622 9.55138i 0.627484 0.403260i
\(562\) −9.50087 + 20.0763i −0.400770 + 0.846868i
\(563\) −24.8331 11.3409i −1.04659 0.477962i −0.183505 0.983019i \(-0.558744\pi\)
−0.863086 + 0.505056i \(0.831472\pi\)
\(564\) −11.7441 19.4166i −0.494517 0.817587i
\(565\) −63.6507 9.15159i −2.67781 0.385010i
\(566\) −39.4032 + 10.9896i −1.65624 + 0.461927i
\(567\) −0.171622 0.0503928i −0.00720745 0.00211630i
\(568\) 9.59464 10.1999i 0.402582 0.427979i
\(569\) 14.6073 12.6573i 0.612369 0.530621i −0.292525 0.956258i \(-0.594495\pi\)
0.904894 + 0.425637i \(0.139950\pi\)
\(570\) −22.7986 27.0461i −0.954928 1.13284i
\(571\) 13.1699 + 11.4118i 0.551144 + 0.477569i 0.885346 0.464932i \(-0.153921\pi\)
−0.334202 + 0.942501i \(0.608467\pi\)
\(572\) 34.1143 + 11.0339i 1.42639 + 0.461352i
\(573\) 1.44203 + 3.15761i 0.0602418 + 0.131911i
\(574\) −0.688473 + 2.23189i −0.0287363 + 0.0931574i
\(575\) 25.9472 + 11.7080i 1.08207 + 0.488259i
\(576\) 1.78066 7.79931i 0.0741940 0.324971i
\(577\) 16.1857 + 35.4417i 0.673819 + 1.47546i 0.869062 + 0.494702i \(0.164723\pi\)
−0.195244 + 0.980755i \(0.562550\pi\)
\(578\) −0.00648488 + 0.476435i −0.000269736 + 0.0198171i
\(579\) −3.72112 + 4.29440i −0.154644 + 0.178469i
\(580\) 37.4256 15.8753i 1.55401 0.659186i
\(581\) −0.547961 + 0.474811i −0.0227332 + 0.0196985i
\(582\) −0.682617 + 4.32863i −0.0282954 + 0.179427i
\(583\) −9.60471 + 32.7106i −0.397787 + 1.35474i
\(584\) 3.11583 9.20369i 0.128934 0.380851i
\(585\) 13.8299 + 1.98844i 0.571797 + 0.0822119i
\(586\) 32.5987 + 29.0331i 1.34664 + 1.19934i
\(587\) −5.15738 + 11.2931i −0.212868 + 0.466116i −0.985703 0.168491i \(-0.946111\pi\)
0.772835 + 0.634607i \(0.218838\pi\)
\(588\) −9.40942 + 10.2798i −0.388038 + 0.423934i
\(589\) 26.5341 17.0524i 1.09332 0.702633i
\(590\) 18.5088 27.9562i 0.761994 1.15094i
\(591\) 7.82534 1.12511i 0.321892 0.0462810i
\(592\) −14.9375 + 28.4943i −0.613926 + 1.17111i
\(593\) −9.75485 6.26906i −0.400584 0.257440i 0.324802 0.945782i \(-0.394702\pi\)
−0.725386 + 0.688342i \(0.758339\pi\)
\(594\) 5.09161 3.17510i 0.208911 0.130276i
\(595\) 0.693868 + 2.36310i 0.0284458 + 0.0968775i
\(596\) 3.49672 20.3679i 0.143231 0.834302i
\(597\) −2.74238 −0.112238
\(598\) −21.8265 + 18.5683i −0.892553 + 0.759316i
\(599\) 5.72871i 0.234069i 0.993128 + 0.117034i \(0.0373387\pi\)
−0.993128 + 0.117034i \(0.962661\pi\)
\(600\) 14.9740 + 7.59179i 0.611311 + 0.309933i
\(601\) 5.57034 1.63560i 0.227219 0.0667175i −0.166141 0.986102i \(-0.553131\pi\)
0.393360 + 0.919384i \(0.371313\pi\)
\(602\) 2.12486 1.32505i 0.0866027 0.0540050i
\(603\) 3.25172 5.05977i 0.132420 0.206050i
\(604\) −32.1444 + 3.73185i −1.30794 + 0.151847i
\(605\) 3.29573 + 22.9223i 0.133990 + 0.931924i
\(606\) −9.45829 6.26199i −0.384217 0.254376i
\(607\) 1.00466 + 1.56329i 0.0407780 + 0.0634519i 0.861044 0.508530i \(-0.169811\pi\)
−0.820266 + 0.571982i \(0.806175\pi\)
\(608\) 42.6881 + 2.90950i 1.73123 + 0.117996i
\(609\) 1.00010 + 0.456729i 0.0405259 + 0.0185076i
\(610\) −17.1745 15.2960i −0.695375 0.619315i
\(611\) −6.82236 + 47.4505i −0.276003 + 1.91964i
\(612\) −0.226654 + 8.32444i −0.00916195 + 0.336496i
\(613\) −10.1466 2.97931i −0.409817 0.120333i 0.0703243 0.997524i \(-0.477597\pi\)
−0.480142 + 0.877191i \(0.659415\pi\)
\(614\) 13.5179 + 2.13175i 0.545538 + 0.0860303i
\(615\) −19.9957 23.0762i −0.806303 0.930523i
\(616\) 0.218505 + 2.13543i 0.00880380 + 0.0860391i
\(617\) −1.35758 1.17635i −0.0546541 0.0473581i 0.627105 0.778934i \(-0.284240\pi\)
−0.681760 + 0.731576i \(0.738785\pi\)
\(618\) 0.0211794 1.55602i 0.000851960 0.0625923i
\(619\) 32.2714 14.7378i 1.29710 0.592364i 0.357264 0.934003i \(-0.383710\pi\)
0.939831 + 0.341640i \(0.110982\pi\)
\(620\) −15.5368 + 22.7872i −0.623971 + 0.915157i
\(621\) 0.0217073 + 4.79578i 0.000871083 + 0.192448i
\(622\) −7.07762 2.18324i −0.283787 0.0875398i
\(623\) −2.45949 + 1.12321i −0.0985373 + 0.0450005i
\(624\) −13.3559 + 10.3561i −0.534663 + 0.414575i
\(625\) 12.7346 14.6965i 0.509384 0.587860i
\(626\) 24.2036 + 28.7129i 0.967369 + 1.14760i
\(627\) 21.0164 + 24.2542i 0.839314 + 0.968620i
\(628\) 5.37509 10.9695i 0.214489 0.437729i
\(629\) 9.43505 32.1328i 0.376200 1.28122i
\(630\) 0.224725 + 0.805754i 0.00895327 + 0.0321020i
\(631\) −1.86624 + 12.9800i −0.0742938 + 0.516725i 0.918361 + 0.395744i \(0.129513\pi\)
−0.992655 + 0.120981i \(0.961396\pi\)
\(632\) −0.797172 3.19154i −0.0317098 0.126953i
\(633\) −4.89767 + 10.7244i −0.194665 + 0.426256i
\(634\) −20.7686 + 43.8862i −0.824826 + 1.74294i
\(635\) 29.0136 + 45.1460i 1.15137 + 1.79156i
\(636\) −10.1889 12.4265i −0.404017 0.492744i
\(637\) 29.1411 4.18985i 1.15461 0.166008i
\(638\) −33.7558 + 14.8639i −1.33640 + 0.588467i
\(639\) −2.67669 + 4.16501i −0.105888 + 0.164765i
\(640\) −35.3566 + 12.2341i −1.39759 + 0.483597i
\(641\) −4.57020 15.5647i −0.180512 0.614767i −0.999180 0.0404996i \(-0.987105\pi\)
0.818668 0.574268i \(-0.194713\pi\)
\(642\) −0.469505 3.61400i −0.0185299 0.142633i
\(643\) 42.1040i 1.66042i 0.557450 + 0.830210i \(0.311780\pi\)
−0.557450 + 0.830210i \(0.688220\pi\)
\(644\) −1.54402 0.747932i −0.0608430 0.0294726i
\(645\) 32.7368i 1.28901i
\(646\) −44.1677 + 5.73795i −1.73775 + 0.225757i
\(647\) 3.74743 + 12.7626i 0.147327 + 0.501748i 0.999778 0.0210577i \(-0.00670336\pi\)
−0.852452 + 0.522806i \(0.824885\pi\)
\(648\) −0.115456 + 2.82607i −0.00453554 + 0.111019i
\(649\) −16.4456 + 25.5898i −0.645546 + 1.00449i
\(650\) −14.2931 32.4594i −0.560620 1.27316i
\(651\) −0.738291 + 0.106150i −0.0289359 + 0.00416036i
\(652\) −24.9149 30.3866i −0.975744 1.19003i
\(653\) 16.0052 + 24.9046i 0.626333 + 0.974593i 0.998914 + 0.0465937i \(0.0148366\pi\)
−0.372581 + 0.928000i \(0.621527\pi\)
\(654\) −5.19914 2.46043i −0.203303 0.0962105i
\(655\) 14.4459 31.6322i 0.564449 1.23597i
\(656\) 36.8791 + 2.00975i 1.43989 + 0.0784674i
\(657\) −0.488910 + 3.40044i −0.0190742 + 0.132664i
\(658\) −2.76455 + 0.771034i −0.107773 + 0.0300580i
\(659\) −9.86294 + 33.5901i −0.384206 + 1.30848i 0.509748 + 0.860324i \(0.329739\pi\)
−0.893953 + 0.448160i \(0.852079\pi\)
\(660\) −25.1997 12.3480i −0.980895 0.480644i
\(661\) −2.44146 2.81759i −0.0949617 0.109592i 0.706280 0.707933i \(-0.250372\pi\)
−0.801241 + 0.598341i \(0.795827\pi\)
\(662\) 12.5414 10.5718i 0.487437 0.410886i
\(663\) 11.5206 13.2955i 0.447423 0.516354i
\(664\) 9.38415 + 6.58716i 0.364176 + 0.255631i
\(665\) −4.06965 + 1.85855i −0.157814 + 0.0720714i
\(666\) 3.35283 10.8692i 0.129920 0.421174i
\(667\) 4.06315 29.1974i 0.157326 1.13053i
\(668\) −20.1478 + 29.5501i −0.779543 + 1.14333i
\(669\) 14.1284 6.45224i 0.546237 0.249458i
\(670\) −28.1256 0.382824i −1.08659 0.0147898i
\(671\) 15.7692 + 13.6641i 0.608765 + 0.527498i
\(672\) −0.889678 0.481941i −0.0343201 0.0185913i
\(673\) −14.1613 16.3430i −0.545877 0.629976i 0.414040 0.910258i \(-0.364117\pi\)
−0.959917 + 0.280283i \(0.909572\pi\)
\(674\) −5.46057 + 34.6267i −0.210333 + 1.33377i
\(675\) −5.69522 1.67227i −0.219209 0.0643656i
\(676\) 9.69988 + 0.264104i 0.373072 + 0.0101578i
\(677\) 3.71440 25.8342i 0.142756 0.992889i −0.784945 0.619565i \(-0.787309\pi\)
0.927701 0.373324i \(-0.121782\pi\)
\(678\) −18.2901 + 20.5364i −0.702428 + 0.788695i
\(679\) 0.504158 + 0.230241i 0.0193478 + 0.00883585i
\(680\) 33.5949 19.7004i 1.28831 0.755477i
\(681\) −2.56661 3.99372i −0.0983527 0.153040i
\(682\) 13.8133 20.8640i 0.528938 0.798923i
\(683\) −6.40925 44.5773i −0.245243 1.70570i −0.625006 0.780620i \(-0.714904\pi\)
0.379763 0.925084i \(-0.376005\pi\)
\(684\) −15.0266 + 1.74453i −0.574556 + 0.0667038i
\(685\) 12.2280 19.0271i 0.467207 0.726989i
\(686\) 1.86962 + 2.99813i 0.0713823 + 0.114469i
\(687\) −6.30026 + 1.84992i −0.240370 + 0.0705790i
\(688\) −28.4709 27.5212i −1.08544 1.04924i
\(689\) 33.9482i 1.29332i
\(690\) 18.9775 11.9539i 0.722460 0.455077i
\(691\) −35.4931 −1.35022 −0.675110 0.737717i \(-0.735904\pi\)
−0.675110 + 0.737717i \(0.735904\pi\)
\(692\) −0.106747 0.0183261i −0.00405792 0.000696655i
\(693\) −0.213816 0.728190i −0.00812219 0.0276616i
\(694\) −16.6228 26.6564i −0.630993 1.01186i
\(695\) 14.1311 + 9.08148i 0.536021 + 0.344480i
\(696\) 3.17462 17.0933i 0.120334 0.647920i
\(697\) −38.0546 + 5.47143i −1.44142 + 0.207245i
\(698\) 9.39806 + 6.22211i 0.355722 + 0.235510i
\(699\) −5.56478 + 3.57627i −0.210479 + 0.135267i
\(700\) 1.43369 1.56631i 0.0541883 0.0592010i
\(701\) −17.7785 + 38.9295i −0.671485 + 1.47035i 0.199936 + 0.979809i \(0.435927\pi\)
−0.871420 + 0.490537i \(0.836801\pi\)
\(702\) 3.97405 4.46211i 0.149991 0.168411i
\(703\) 60.2165 + 8.65783i 2.27111 + 0.326536i
\(704\) 31.9238 11.5352i 1.20317 0.434748i
\(705\) 10.5707 36.0005i 0.398115 1.35586i
\(706\) 17.9371 + 2.82865i 0.675073 + 0.106458i
\(707\) −1.08427 + 0.939522i −0.0407780 + 0.0353344i
\(708\) −5.59917 13.1999i −0.210430 0.496083i
\(709\) 8.22086 9.48737i 0.308741 0.356306i −0.580081 0.814559i \(-0.696979\pi\)
0.888822 + 0.458253i \(0.151525\pi\)
\(710\) 23.1519 + 0.315126i 0.868874 + 0.0118265i
\(711\) 0.483147 + 1.05795i 0.0181194 + 0.0396760i
\(712\) 26.6566 + 33.4285i 0.998998 + 1.25278i
\(713\) 8.39005 + 18.1537i 0.314210 + 0.679863i
\(714\) 1.00646 + 0.310462i 0.0376657 + 0.0116187i
\(715\) 24.6273 + 53.9262i 0.921008 + 2.01673i
\(716\) 21.9625 + 7.10354i 0.820776 + 0.265472i
\(717\) 4.81957 + 4.17618i 0.179990 + 0.155962i
\(718\) −14.1713 + 11.9457i −0.528868 + 0.445810i
\(719\) −2.41831 + 2.09548i −0.0901878 + 0.0781482i −0.698788 0.715329i \(-0.746277\pi\)
0.608600 + 0.793477i \(0.291731\pi\)
\(720\) 11.5005 6.53529i 0.428597 0.243556i
\(721\) −0.188849 0.0554510i −0.00703309 0.00206510i
\(722\) −14.5171 52.0513i −0.540272 1.93715i
\(723\) −3.97029 0.570842i −0.147657 0.0212298i
\(724\) 24.7624 14.9775i 0.920286 0.556635i
\(725\) 33.1878 + 15.1564i 1.23257 + 0.562894i
\(726\) 8.95182 + 4.23634i 0.332233 + 0.157225i
\(727\) −19.4733 + 12.5147i −0.722226 + 0.464146i −0.849410 0.527733i \(-0.823042\pi\)
0.127185 + 0.991879i \(0.459406\pi\)
\(728\) 0.807861 + 1.97901i 0.0299413 + 0.0733470i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 14.7039 6.47466i 0.544216 0.239638i
\(731\) 34.6758 + 22.2848i 1.28253 + 0.824233i
\(732\) −9.50891 + 2.51307i −0.351459 + 0.0928858i
\(733\) −19.2153 + 5.64213i −0.709734 + 0.208397i −0.616623 0.787259i \(-0.711500\pi\)
−0.0931117 + 0.995656i \(0.529681\pi\)
\(734\) −50.1044 + 6.50921i −1.84939 + 0.240259i
\(735\) −23.0426 −0.849938
\(736\) −5.55784 + 26.5539i −0.204865 + 0.978790i
\(737\) 25.5197 0.940031
\(738\) −12.9493 + 1.68228i −0.476669 + 0.0619254i
\(739\) 16.1210 4.73355i 0.593021 0.174127i 0.0285679 0.999592i \(-0.490905\pi\)
0.564453 + 0.825465i \(0.309087\pi\)
\(740\) −51.4295 + 13.5921i −1.89059 + 0.499656i
\(741\) 26.8847 + 17.2777i 0.987634 + 0.634714i
\(742\) −1.86011 + 0.819075i −0.0682868 + 0.0300692i
\(743\) 0.358404 + 2.49275i 0.0131486 + 0.0914503i 0.995339 0.0964378i \(-0.0307449\pi\)
−0.982190 + 0.187888i \(0.939836\pi\)
\(744\) 4.45764 + 10.9198i 0.163425 + 0.400341i
\(745\) 28.7457 18.4737i 1.05316 0.676826i
\(746\) 4.28780 + 2.02915i 0.156988 + 0.0742925i
\(747\) −3.68728 1.68392i −0.134910 0.0616115i
\(748\) −30.2334 + 18.2867i −1.10544 + 0.668627i
\(749\) −0.456243 0.0655978i −0.0166708 0.00239689i
\(750\) 1.17554 + 4.21490i 0.0429246 + 0.153906i
\(751\) −15.5777 4.57403i −0.568439 0.166909i −0.0151308 0.999886i \(-0.504816\pi\)
−0.553308 + 0.832977i \(0.686635\pi\)
\(752\) 22.4226 + 39.4582i 0.817669 + 1.43889i
\(753\) 8.56936 7.42539i 0.312285 0.270596i
\(754\) −28.0821 + 23.6719i −1.02269 + 0.862078i
\(755\) −40.4374 35.0392i −1.47167 1.27521i
\(756\) 0.340374 + 0.110090i 0.0123793 + 0.00400395i
\(757\) 13.6094 + 29.8005i 0.494643 + 1.08312i 0.978174 + 0.207789i \(0.0666269\pi\)
−0.483531 + 0.875327i \(0.660646\pi\)
\(758\) 33.7245 + 10.4030i 1.22493 + 0.377855i
\(759\) −17.0684 + 11.0787i −0.619543 + 0.402130i
\(760\) 44.1080 + 55.3133i 1.59997 + 2.00642i
\(761\) −14.7474 32.2923i −0.534593 1.17060i −0.963613 0.267301i \(-0.913868\pi\)
0.429020 0.903295i \(-0.358859\pi\)
\(762\) 22.9480 + 0.312351i 0.831318 + 0.0113153i
\(763\) −0.476409 + 0.549805i −0.0172472 + 0.0199043i
\(764\) −2.71112 6.39139i −0.0980847 0.231232i
\(765\) −10.4061 + 9.01690i −0.376232 + 0.326007i
\(766\) −1.61530 0.254729i −0.0583630 0.00920374i
\(767\) −8.53388 + 29.0637i −0.308141 + 1.04943i
\(768\) −3.98455 + 15.4959i −0.143780 + 0.559161i
\(769\) 15.5160 + 2.23086i 0.559520 + 0.0804468i 0.416272 0.909240i \(-0.363336\pi\)
0.143248 + 0.989687i \(0.454245\pi\)
\(770\) −2.36058 + 2.65048i −0.0850692 + 0.0955168i
\(771\) 9.57047 20.9564i 0.344672 0.754727i
\(772\) 7.67325 8.38306i 0.276166 0.301713i
\(773\) 10.3561 6.65544i 0.372482 0.239380i −0.340985 0.940069i \(-0.610760\pi\)
0.713467 + 0.700689i \(0.247124\pi\)
\(774\) 11.6735 + 7.72858i 0.419594 + 0.277798i
\(775\) −24.5000 + 3.52256i −0.880064 + 0.126534i
\(776\) 1.60036 8.61689i 0.0574495 0.309329i
\(777\) −1.21026 0.777788i −0.0434179 0.0279030i
\(778\) −9.00364 14.4383i −0.322796 0.517638i
\(779\) −19.6761 67.0107i −0.704970 2.40091i
\(780\) −27.5413 4.72824i −0.986138 0.169298i
\(781\) −21.0068 −0.751683
\(782\) 0.256532 28.2388i 0.00917357 1.00982i
\(783\) 6.14674i 0.219666i
\(784\) 19.3715 20.0399i 0.691838 0.715710i
\(785\) 19.3798 5.69041i 0.691693 0.203099i
\(786\) −7.86914 12.6190i −0.280683 0.450105i
\(787\) −2.06435 + 3.21219i −0.0735860 + 0.114502i −0.876096 0.482136i \(-0.839861\pi\)
0.802510 + 0.596638i \(0.203497\pi\)
\(788\) −15.7061 + 1.82342i −0.559508 + 0.0649568i
\(789\) 0.162510 + 1.13028i 0.00578551 + 0.0402391i
\(790\) 3.00266 4.53530i 0.106830 0.161359i
\(791\) 1.88046 + 2.92605i 0.0668615 + 0.104038i
\(792\) −10.3523 + 6.07070i −0.367853 + 0.215713i
\(793\) 18.9002 + 8.63145i 0.671168 + 0.306512i
\(794\) −2.93122 + 3.29121i −0.104025 + 0.116801i
\(795\) 3.78136 26.3000i 0.134111 0.932764i
\(796\) 5.48272 + 0.149281i 0.194330 + 0.00529113i
\(797\) 4.26194 + 1.25142i 0.150966 + 0.0443275i 0.356342 0.934356i \(-0.384024\pi\)
−0.205377 + 0.978683i \(0.565842\pi\)
\(798\) −0.298042 + 1.88995i −0.0105506 + 0.0669035i
\(799\) −30.9371 35.7033i −1.09447 1.26309i
\(800\) −29.5237 15.9931i −1.04382 0.565440i
\(801\) −11.4242 9.89912i −0.403654 0.349768i
\(802\) 29.9243 + 0.407308i 1.05667 + 0.0143825i
\(803\) −13.2591 + 6.05525i −0.467905 + 0.213685i
\(804\) −6.77646 + 9.93879i −0.238987 + 0.350514i
\(805\) −0.811510 2.71817i −0.0286020 0.0958031i
\(806\) 7.34465 23.8099i 0.258704 0.838667i
\(807\) 19.2103 8.77306i 0.676235 0.308826i
\(808\) 18.5687 + 13.0342i 0.653245 + 0.458542i
\(809\) −34.0735 + 39.3229i −1.19796 + 1.38252i −0.293501 + 0.955959i \(0.594820\pi\)
−0.904459 + 0.426561i \(0.859725\pi\)
\(810\) −3.57575 + 3.01419i −0.125639 + 0.105908i
\(811\) 1.15473 + 1.33263i 0.0405482 + 0.0467951i 0.775661 0.631149i \(-0.217416\pi\)
−0.735113 + 0.677944i \(0.762871\pi\)
\(812\) −1.97459 0.967559i −0.0692945 0.0339547i
\(813\) 2.46368 8.39053i 0.0864051 0.294269i
\(814\) 46.4880 12.9655i 1.62941 0.454442i
\(815\) 9.24656 64.3112i 0.323893 2.25272i
\(816\) 0.906281 16.6304i 0.0317262 0.582180i
\(817\) −31.1053 + 68.1111i −1.08824 + 2.38291i
\(818\) −9.76233 4.61990i −0.341332 0.161531i
\(819\) −0.408583 0.635768i −0.0142770 0.0222155i
\(820\) 38.7204 + 47.2238i 1.35217 + 1.64913i
\(821\) −11.3410 + 1.63058i −0.395802 + 0.0569078i −0.337342 0.941382i \(-0.609528\pi\)
−0.0584597 + 0.998290i \(0.518619\pi\)
\(822\) −3.89798 8.85228i −0.135958 0.308759i
\(823\) 20.6813 32.1807i 0.720903 1.12175i −0.266548 0.963822i \(-0.585883\pi\)
0.987451 0.157926i \(-0.0504807\pi\)
\(824\) −0.127045 + 3.10974i −0.00442582 + 0.108333i
\(825\) −7.09540 24.1647i −0.247030 0.841308i
\(826\) −1.79838 + 0.233632i −0.0625736 + 0.00812911i
\(827\) 48.0735i 1.67168i −0.548973 0.835840i \(-0.684981\pi\)
0.548973 0.835840i \(-0.315019\pi\)
\(828\) 0.217660 9.58919i 0.00756420 0.333247i
\(829\) 18.3960i 0.638920i −0.947600 0.319460i \(-0.896498\pi\)
0.947600 0.319460i \(-0.103502\pi\)
\(830\) 2.44228 + 18.7994i 0.0847727 + 0.652536i
\(831\) 6.86617 + 23.3840i 0.238185 + 0.811183i
\(832\) 27.2656 19.9775i 0.945264 0.692594i
\(833\) −15.6857 + 24.4074i −0.543477 + 0.845666i
\(834\) 6.57441 2.89495i 0.227653 0.100244i
\(835\) −58.5341 + 8.41594i −2.02566 + 0.291246i
\(836\) −40.6969 49.6345i −1.40753 1.71664i
\(837\) −2.25449 3.50806i −0.0779266 0.121256i
\(838\) −13.5349 + 28.6007i −0.467556 + 0.987995i
\(839\) −18.9504 + 41.4956i −0.654241 + 1.43259i 0.233551 + 0.972344i \(0.424965\pi\)
−0.887792 + 0.460244i \(0.847762\pi\)
\(840\) −0.405423 1.62314i −0.0139884 0.0560038i
\(841\) 1.24986 8.69299i 0.0430987 0.299758i
\(842\) −2.48835 8.92200i −0.0857542 0.307472i
\(843\) −4.42475 + 15.0693i −0.152396 + 0.519015i
\(844\) 10.3755 21.1742i 0.357139 0.728847i
\(845\) 10.5068 + 12.1254i 0.361443 + 0.417128i
\(846\) −10.3417 12.2684i −0.355555 0.421797i
\(847\) 0.820274 0.946647i 0.0281850 0.0325272i
\(848\) 19.6939 + 25.3985i 0.676290 + 0.872188i
\(849\) −26.3117 + 12.0161i −0.903015 + 0.412393i
\(850\) 33.3989 + 10.3026i 1.14557 + 0.353375i
\(851\) −10.6997 + 37.0595i −0.366780 + 1.27038i
\(852\) 5.57811 8.18122i 0.191103 0.280284i
\(853\) −10.3232 + 4.71447i −0.353461 + 0.161420i −0.584230 0.811588i \(-0.698603\pi\)
0.230769 + 0.973009i \(0.425876\pi\)
\(854\) −0.0169303 + 1.24385i −0.000579345 + 0.0425636i
\(855\) −18.9033 16.3798i −0.646480 0.560178i
\(856\) 0.741935 + 7.25089i 0.0253588 + 0.247830i
\(857\) 9.59743 + 11.0760i 0.327842 + 0.378350i 0.895611 0.444838i \(-0.146739\pi\)
−0.567769 + 0.823188i \(0.692193\pi\)
\(858\) 25.0434 + 3.94929i 0.854966 + 0.134827i
\(859\) −14.6458 4.30040i −0.499709 0.146728i 0.0221585 0.999754i \(-0.492946\pi\)
−0.521867 + 0.853027i \(0.674764\pi\)
\(860\) 1.78203 65.4494i 0.0607666 2.23181i
\(861\) −0.235042 + 1.63475i −0.00801022 + 0.0557123i
\(862\) −19.3494 17.2329i −0.659042 0.586956i
\(863\) 37.1957 + 16.9867i 1.26616 + 0.578234i 0.931375 0.364061i \(-0.118610\pi\)
0.334782 + 0.942296i \(0.391337\pi\)
\(864\) 0.384664 5.64376i 0.0130865 0.192005i
\(865\) −0.0968200 0.150655i −0.00329198 0.00512242i
\(866\) 21.2995 + 14.1016i 0.723788 + 0.479193i
\(867\) 0.0479490 + 0.333492i 0.00162843 + 0.0113260i
\(868\) 1.48181 0.172033i 0.0502960 0.00583918i
\(869\) −2.66795 + 4.15141i −0.0905040 + 0.140827i
\(870\) 24.3922 15.2109i 0.826973 0.515696i
\(871\) 24.3830 7.15948i 0.826185 0.242590i
\(872\) 10.2605 + 5.20205i 0.347464 + 0.176164i
\(873\) 3.09863i 0.104873i
\(874\) 50.8420 6.83918i 1.71976 0.231339i
\(875\) 0.553439 0.0187096
\(876\) 1.16256 6.77175i 0.0392792 0.228796i
\(877\) 2.80966 + 9.56883i 0.0948755 + 0.323116i 0.993231 0.116152i \(-0.0370559\pi\)
−0.898356 + 0.439268i \(0.855238\pi\)
\(878\) 8.72376 5.44009i 0.294413 0.183594i
\(879\) 25.9673 + 16.6882i 0.875856 + 0.562878i
\(880\) 49.7085 + 26.0585i 1.67567 + 0.878432i
\(881\) 41.2166 5.92605i 1.38862 0.199654i 0.592880 0.805291i \(-0.297991\pi\)
0.795741 + 0.605637i \(0.207082\pi\)
\(882\) −5.43994 + 8.21665i −0.183172 + 0.276669i
\(883\) −4.16052 + 2.67381i −0.140013 + 0.0899807i −0.608772 0.793345i \(-0.708338\pi\)
0.468759 + 0.883326i \(0.344701\pi\)
\(884\) −23.7564 + 25.9540i −0.799014 + 0.872927i
\(885\) 9.84859 21.5654i 0.331057 0.724913i
\(886\) −1.37901 1.22817i −0.0463288 0.0412613i
\(887\) 21.3914 + 3.07562i 0.718253 + 0.103269i 0.491744 0.870740i \(-0.336360\pi\)
0.226509 + 0.974009i \(0.427269\pi\)
\(888\) −7.29485 + 21.5479i −0.244799 + 0.723099i
\(889\) 0.817783 2.78511i 0.0274276 0.0934098i
\(890\) −11.0123 + 69.8314i −0.369133 + 2.34075i
\(891\) 3.20663 2.77856i 0.107426 0.0930854i
\(892\) −28.5976 + 12.1306i −0.957519 + 0.406163i
\(893\) 56.1993 64.8575i 1.88064 2.17037i
\(894\) 0.198883 14.6116i 0.00665163 0.488686i
\(895\) 15.8548 + 34.7172i 0.529968 + 1.16047i
\(896\) 1.75246 + 1.01196i 0.0585456 + 0.0338071i
\(897\) −13.2000 + 15.3737i −0.440735 + 0.513312i
\(898\) 6.81242 22.0845i 0.227333 0.736970i
\(899\) 10.6480 + 23.3158i 0.355129 + 0.777625i
\(900\) 11.2952 + 3.65331i 0.376506 + 0.121777i
\(901\) −25.2837 21.9084i −0.842321 0.729875i
\(902\) −35.7095 42.3624i −1.18900 1.41051i
\(903\) 1.33821 1.15956i 0.0445327 0.0385878i
\(904\) 37.6846 40.0619i 1.25337 1.33244i
\(905\) 45.9120 + 13.4810i 1.52617 + 0.448123i
\(906\) −22.0410 + 6.14726i −0.732264 + 0.204229i
\(907\) −0.115554 0.0166141i −0.00383689 0.000551662i 0.140396 0.990095i \(-0.455162\pi\)
−0.144233 + 0.989544i \(0.546071\pi\)
\(908\) 4.91392 + 8.12420i 0.163074 + 0.269611i
\(909\) −7.29613 3.33203i −0.241997 0.110516i
\(910\) −1.51184 + 3.19467i −0.0501170 + 0.105902i
\(911\) 28.0919 18.0536i 0.930728 0.598142i 0.0149763 0.999888i \(-0.495233\pi\)
0.915751 + 0.401745i \(0.131596\pi\)
\(912\) 30.1370 2.66980i 0.997937 0.0884059i
\(913\) −2.44772 17.0243i −0.0810077 0.563421i
\(914\) 9.31428 + 21.1526i 0.308089 + 0.699667i
\(915\) −13.6808 8.79210i −0.452273 0.290658i
\(916\) 12.6965 3.35552i 0.419506 0.110870i
\(917\) −1.80474 + 0.529918i −0.0595976 + 0.0174994i
\(918\) 0.758610 + 5.83938i 0.0250379 + 0.192728i
\(919\) −44.0697 −1.45373 −0.726863 0.686782i \(-0.759023\pi\)
−0.726863 + 0.686782i \(0.759023\pi\)
\(920\) −38.5916 + 22.8659i −1.27233 + 0.753866i
\(921\) 9.67672 0.318859
\(922\) −4.53123 34.8790i −0.149228 1.14868i
\(923\) −20.0711 + 5.89340i −0.660648 + 0.193984i
\(924\) 0.387834 + 1.46748i 0.0127588 + 0.0482765i
\(925\) −40.1621 25.8106i −1.32052 0.848648i
\(926\) 4.26048 + 9.67552i 0.140008 + 0.317957i
\(927\) −0.156600 1.08917i −0.00514341 0.0357732i
\(928\) −7.27736 + 34.0011i −0.238891 + 1.11614i
\(929\) −9.10031 + 5.84842i −0.298572 + 0.191880i −0.681346 0.731962i \(-0.738605\pi\)
0.382774 + 0.923842i \(0.374969\pi\)
\(930\) −8.34207 + 17.6277i −0.273547 + 0.578034i
\(931\) −47.9416 21.8942i −1.57122 0.717553i
\(932\) 11.3201 6.84697i 0.370803 0.224280i
\(933\) −5.18402 0.745349i −0.169717 0.0244016i
\(934\) −30.6432 + 8.54642i −1.00268 + 0.279647i
\(935\) −56.0559 16.4595i −1.83323 0.538283i
\(936\) −8.18804 + 8.70459i −0.267635 + 0.284518i
\(937\) 20.1126 17.4276i 0.657049 0.569336i −0.261227 0.965277i \(-0.584127\pi\)
0.918276 + 0.395942i \(0.129582\pi\)
\(938\) 0.980580 + 1.16327i 0.0320171 + 0.0379821i
\(939\) 20.0683 + 17.3892i 0.654903 + 0.567476i
\(940\) −23.0932 + 71.3989i −0.753219 + 2.32877i
\(941\) −16.5650 36.2724i −0.540005 1.18245i −0.961295 0.275520i \(-0.911150\pi\)
0.421290 0.906926i \(-0.361577\pi\)
\(942\) 2.54610 8.25394i 0.0829564 0.268928i
\(943\) 43.8024 6.50033i 1.42640 0.211680i
\(944\) 10.4757 + 26.6948i 0.340954 + 0.868843i
\(945\) 0.245717 + 0.538046i 0.00799319 + 0.0175026i
\(946\) −0.808460 + 59.3964i −0.0262853 + 1.93114i
\(947\) 17.5649 20.2709i 0.570781 0.658716i −0.394816 0.918760i \(-0.629192\pi\)
0.965597 + 0.260044i \(0.0837370\pi\)
\(948\) −0.908348 2.14141i −0.0295018 0.0695496i
\(949\) −10.9697 + 9.50534i −0.356093 + 0.308556i
\(950\) −9.89041 + 62.7173i −0.320887 + 2.03482i
\(951\) −9.67235 + 32.9410i −0.313648 + 1.06819i
\(952\) −1.99527 0.675480i −0.0646669 0.0218924i
\(953\) −26.7291 3.84307i −0.865841 0.124489i −0.304940 0.952372i \(-0.598636\pi\)
−0.560902 + 0.827882i \(0.689545\pi\)
\(954\) −8.48547 7.55733i −0.274727 0.244678i
\(955\) 4.76868 10.4419i 0.154311 0.337894i
\(956\) −9.40823 8.61161i −0.304284 0.278519i
\(957\) −21.9403 + 14.1002i −0.709230 + 0.455794i
\(958\) 0.940525 1.42060i 0.0303870 0.0458974i
\(959\) −1.21091 + 0.174103i −0.0391023 + 0.00562206i
\(960\) −23.3481 + 12.4397i −0.753558 + 0.401490i
\(961\) 11.4501 + 7.35856i 0.369359 + 0.237373i
\(962\) 40.7798 25.4301i 1.31479 0.819899i
\(963\) −0.726014 2.47258i −0.0233955 0.0796777i
\(964\) 7.90657 + 1.35738i 0.254654 + 0.0437184i
\(965\) 18.7909 0.604900
\(966\) −1.16084 0.352340i −0.0373496 0.0113364i
\(967\) 0.116793i 0.00375581i −0.999998 0.00187791i \(-0.999402\pi\)
0.999998 0.00187791i \(-0.000597757\pi\)
\(968\) −17.6664 8.95683i −0.567820 0.287883i
\(969\) −30.2180 + 8.87281i −0.970742 + 0.285036i
\(970\) 12.2963 7.66794i 0.394812 0.246203i
\(971\) −6.75183 + 10.5060i −0.216676 + 0.337155i −0.932528 0.361097i \(-0.882402\pi\)
0.715852 + 0.698252i \(0.246039\pi\)
\(972\) 0.230643 + 1.98666i 0.00739789 + 0.0637220i
\(973\) −0.129302 0.899318i −0.00414525 0.0288308i
\(974\) 1.29185 + 0.855287i 0.0413936 + 0.0274052i
\(975\) −13.5587 21.0977i −0.434226 0.675668i
\(976\) 19.1476 4.50667i 0.612899 0.144255i
\(977\) −15.8603 7.24317i −0.507417 0.231730i 0.145221 0.989399i \(-0.453611\pi\)
−0.652638 + 0.757670i \(0.726338\pi\)
\(978\) −20.7495 18.4799i −0.663496 0.590923i
\(979\) 9.12786 63.4857i 0.291728 2.02901i
\(980\) 46.0681 + 1.25432i 1.47159 + 0.0400678i
\(981\) −3.90248 1.14587i −0.124597 0.0365849i
\(982\) 4.46676 + 0.704400i 0.142540 + 0.0224783i
\(983\) 11.8130 + 13.6330i 0.376777 + 0.434824i 0.912191 0.409766i \(-0.134390\pi\)
−0.535414 + 0.844590i \(0.679844\pi\)
\(984\) 25.9805 2.65841i 0.828229 0.0847471i
\(985\) −19.7582 17.1206i −0.629548 0.545506i
\(986\) 0.492611 36.1914i 0.0156879 1.15257i
\(987\) −1.84604 + 0.843058i −0.0587601 + 0.0268348i
\(988\) −52.8090 36.0061i −1.68008 1.14551i
\(989\) −40.0555 25.4867i −1.27369 0.810428i
\(990\) −18.9614 5.84905i −0.602634 0.185895i
\(991\) −49.7072 + 22.7005i −1.57900 + 0.721106i −0.995829 0.0912413i \(-0.970917\pi\)
−0.583174 + 0.812348i \(0.698189\pi\)
\(992\) −8.31755 22.0742i −0.264083 0.700858i
\(993\) 7.59541 8.76557i 0.241033 0.278167i
\(994\) −0.807175 0.957558i −0.0256020 0.0303719i
\(995\) 5.93880 + 6.85374i 0.188273 + 0.217278i
\(996\) 7.28016 + 3.56732i 0.230681 + 0.113035i
\(997\) −12.9538 + 44.1166i −0.410251 + 1.39719i 0.452593 + 0.891717i \(0.350499\pi\)
−0.862844 + 0.505470i \(0.831319\pi\)
\(998\) 3.73890 + 13.4058i 0.118353 + 0.424355i
\(999\) 1.14465 7.96119i 0.0362150 0.251881i
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 552.2.t.b.19.2 240
8.3 odd 2 inner 552.2.t.b.19.19 yes 240
23.17 odd 22 inner 552.2.t.b.523.19 yes 240
184.155 even 22 inner 552.2.t.b.523.2 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.t.b.19.2 240 1.1 even 1 trivial
552.2.t.b.19.19 yes 240 8.3 odd 2 inner
552.2.t.b.523.2 yes 240 184.155 even 22 inner
552.2.t.b.523.19 yes 240 23.17 odd 22 inner