Properties

Label 804.2.u.a.43.7
Level $804$
Weight $2$
Character 804.43
Analytic conductor $6.420$
Analytic rank $0$
Dimension $340$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [804,2,Mod(43,804)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(804, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("804.43");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 804.u (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: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(340\)
Relative dimension: \(34\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 43.7
Character \(\chi\) \(=\) 804.43
Dual form 804.2.u.a.187.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.08310 - 0.909337i) q^{2} +(0.841254 - 0.540641i) q^{3} +(0.346212 + 1.96981i) q^{4} +(1.76201 + 0.253339i) q^{5} +(-1.40279 - 0.179415i) q^{6} +(0.821285 - 1.79836i) q^{7} +(1.41624 - 2.44832i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.08310 - 0.909337i) q^{2} +(0.841254 - 0.540641i) q^{3} +(0.346212 + 1.96981i) q^{4} +(1.76201 + 0.253339i) q^{5} +(-1.40279 - 0.179415i) q^{6} +(0.821285 - 1.79836i) q^{7} +(1.41624 - 2.44832i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-1.67807 - 1.87666i) q^{10} +(-0.340507 + 2.36828i) q^{11} +(1.35621 + 1.46993i) q^{12} +(0.566274 - 1.92855i) q^{13} +(-2.52485 + 1.20098i) q^{14} +(1.61927 - 0.739494i) q^{15} +(-3.76027 + 1.36394i) q^{16} +(4.11188 - 4.74536i) q^{17} +(-1.27710 + 0.607470i) q^{18} +(-0.948204 + 0.433030i) q^{19} +(0.111001 + 3.55853i) q^{20} +(-0.281360 - 1.95690i) q^{21} +(2.52237 - 2.25545i) q^{22} +(0.928479 + 1.44474i) q^{23} +(-0.132249 - 2.82533i) q^{24} +(-1.75696 - 0.515889i) q^{25} +(-2.36704 + 1.57388i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(3.82677 + 0.995158i) q^{28} +4.21308 q^{29} +(-2.42628 - 0.671512i) q^{30} +(-3.78067 + 1.11010i) q^{31} +(5.31304 + 1.94207i) q^{32} +(0.993935 + 2.17641i) q^{33} +(-8.76871 + 1.40062i) q^{34} +(1.90271 - 2.96068i) q^{35} +(1.93562 + 0.503362i) q^{36} -3.34786 q^{37} +(1.42077 + 0.393222i) q^{38} +(-0.566274 - 1.92855i) q^{39} +(3.11568 - 3.95518i) q^{40} +(5.72355 + 4.95949i) q^{41} +(-1.47474 + 2.37537i) q^{42} +(5.98082 - 6.90223i) q^{43} +(-4.78294 + 0.149193i) q^{44} +(0.962412 - 1.49754i) q^{45} +(0.308121 - 2.40910i) q^{46} +(1.52819 + 2.37791i) q^{47} +(-2.42594 + 3.18038i) q^{48} +(2.02442 + 2.33631i) q^{49} +(1.43384 + 2.15643i) q^{50} +(0.893597 - 6.21510i) q^{51} +(3.99492 + 0.447762i) q^{52} +(9.62778 - 8.34251i) q^{53} +(-0.745940 + 1.20149i) q^{54} +(-1.19996 + 4.08667i) q^{55} +(-3.23984 - 4.55768i) q^{56} +(-0.563566 + 0.876926i) q^{57} +(-4.56318 - 3.83111i) q^{58} +(0.922919 + 3.14317i) q^{59} +(2.01727 + 2.93362i) q^{60} +(2.10509 - 0.302666i) q^{61} +(5.10430 + 2.23555i) q^{62} +(-1.29467 - 1.49413i) q^{63} +(-3.98855 - 6.93480i) q^{64} +(1.48636 - 3.25467i) q^{65} +(0.902563 - 3.26110i) q^{66} +(-6.47628 - 5.00578i) q^{67} +(10.7710 + 6.45671i) q^{68} +(1.56217 + 0.713420i) q^{69} +(-4.75308 + 1.47650i) q^{70} +(-5.54718 + 4.80665i) q^{71} +(-1.63875 - 2.30532i) q^{72} +(-0.690269 - 4.80092i) q^{73} +(3.62607 + 3.04434i) q^{74} +(-1.75696 + 0.515889i) q^{75} +(-1.18127 - 1.71786i) q^{76} +(3.97937 + 2.55739i) q^{77} +(-1.14037 + 2.60375i) q^{78} +(-14.8572 - 4.36247i) q^{79} +(-6.97119 + 1.45066i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-1.68934 - 10.5763i) q^{82} +(-6.76663 - 0.972894i) q^{83} +(3.75730 - 1.23173i) q^{84} +(8.44737 - 7.31969i) q^{85} +(-12.7543 + 2.03723i) q^{86} +(3.54426 - 2.27776i) q^{87} +(5.31607 + 4.18771i) q^{88} +(-6.14420 - 3.94864i) q^{89} +(-2.40416 + 0.746831i) q^{90} +(-3.00316 - 2.60226i) q^{91} +(-2.52441 + 2.32911i) q^{92} +(-2.58033 + 2.97786i) q^{93} +(0.507140 - 3.96516i) q^{94} +(-1.78045 + 0.522788i) q^{95} +(5.51957 - 1.23867i) q^{96} -0.606253i q^{97} +(-0.0681606 - 4.37134i) q^{98} +(2.01281 + 1.29355i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 340 q - 34 q^{3} - 2 q^{4} + 11 q^{6} - 4 q^{7} + 39 q^{8} - 34 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 340 q - 34 q^{3} - 2 q^{4} + 11 q^{6} - 4 q^{7} + 39 q^{8} - 34 q^{9} - 27 q^{10} + 9 q^{12} + 4 q^{14} - 2 q^{16} + 12 q^{20} - 4 q^{21} - 3 q^{22} + 6 q^{24} + 34 q^{25} - 10 q^{26} - 34 q^{27} - 25 q^{28} + 16 q^{29} + 6 q^{30} + 4 q^{31} - 55 q^{32} + 9 q^{36} - 12 q^{37} - 26 q^{38} - 37 q^{40} + 4 q^{42} + 4 q^{43} + 51 q^{44} + 81 q^{46} - 2 q^{48} - 46 q^{49} - 15 q^{50} - 32 q^{52} - 14 q^{56} + 66 q^{57} - 92 q^{58} - 43 q^{60} + 2 q^{62} + 18 q^{63} + 7 q^{64} + 8 q^{66} + 18 q^{67} - 208 q^{68} - 56 q^{70} + 6 q^{72} + 54 q^{73} - 22 q^{74} + 34 q^{75} + 120 q^{76} + 8 q^{77} - 10 q^{78} - 10 q^{79} + 68 q^{80} - 34 q^{81} + 84 q^{82} + 8 q^{84} + 104 q^{86} + 16 q^{87} + 138 q^{88} - 27 q^{90} - 42 q^{92} + 4 q^{93} - 32 q^{94} + 40 q^{95} + 7 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{22}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08310 0.909337i −0.765867 0.642998i
\(3\) 0.841254 0.540641i 0.485698 0.312139i
\(4\) 0.346212 + 1.96981i 0.173106 + 0.984903i
\(5\) 1.76201 + 0.253339i 0.787996 + 0.113297i 0.524553 0.851378i \(-0.324233\pi\)
0.263444 + 0.964675i \(0.415142\pi\)
\(6\) −1.40279 0.179415i −0.572685 0.0732458i
\(7\) 0.821285 1.79836i 0.310417 0.679717i −0.688549 0.725190i \(-0.741752\pi\)
0.998966 + 0.0454723i \(0.0144793\pi\)
\(8\) 1.41624 2.44832i 0.500715 0.865612i
\(9\) 0.415415 0.909632i 0.138472 0.303211i
\(10\) −1.67807 1.87666i −0.530651 0.593451i
\(11\) −0.340507 + 2.36828i −0.102667 + 0.714063i 0.871854 + 0.489766i \(0.162918\pi\)
−0.974521 + 0.224297i \(0.927991\pi\)
\(12\) 1.35621 + 1.46993i 0.391504 + 0.424332i
\(13\) 0.566274 1.92855i 0.157056 0.534884i −0.842939 0.538009i \(-0.819177\pi\)
0.999995 + 0.00312511i \(0.000994756\pi\)
\(14\) −2.52485 + 1.20098i −0.674795 + 0.320976i
\(15\) 1.61927 0.739494i 0.418092 0.190936i
\(16\) −3.76027 + 1.36394i −0.940069 + 0.340985i
\(17\) 4.11188 4.74536i 0.997278 1.15092i 0.00873750 0.999962i \(-0.497219\pi\)
0.988540 0.150958i \(-0.0482358\pi\)
\(18\) −1.27710 + 0.607470i −0.301015 + 0.143182i
\(19\) −0.948204 + 0.433030i −0.217533 + 0.0993440i −0.521201 0.853434i \(-0.674516\pi\)
0.303668 + 0.952778i \(0.401789\pi\)
\(20\) 0.111001 + 3.55853i 0.0248205 + 0.795712i
\(21\) −0.281360 1.95690i −0.0613977 0.427031i
\(22\) 2.52237 2.25545i 0.537770 0.480863i
\(23\) 0.928479 + 1.44474i 0.193601 + 0.301249i 0.924460 0.381280i \(-0.124516\pi\)
−0.730859 + 0.682529i \(0.760880\pi\)
\(24\) −0.132249 2.82533i −0.0269952 0.576719i
\(25\) −1.75696 0.515889i −0.351391 0.103178i
\(26\) −2.36704 + 1.57388i −0.464214 + 0.308663i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) 3.82677 + 0.995158i 0.723191 + 0.188067i
\(29\) 4.21308 0.782349 0.391174 0.920317i \(-0.372069\pi\)
0.391174 + 0.920317i \(0.372069\pi\)
\(30\) −2.42628 0.671512i −0.442975 0.122601i
\(31\) −3.78067 + 1.11010i −0.679028 + 0.199381i −0.603019 0.797726i \(-0.706036\pi\)
−0.0760088 + 0.997107i \(0.524218\pi\)
\(32\) 5.31304 + 1.94207i 0.939221 + 0.343313i
\(33\) 0.993935 + 2.17641i 0.173022 + 0.378865i
\(34\) −8.76871 + 1.40062i −1.50382 + 0.240204i
\(35\) 1.90271 2.96068i 0.321617 0.500446i
\(36\) 1.93562 + 0.503362i 0.322603 + 0.0838936i
\(37\) −3.34786 −0.550385 −0.275193 0.961389i \(-0.588742\pi\)
−0.275193 + 0.961389i \(0.588742\pi\)
\(38\) 1.42077 + 0.393222i 0.230479 + 0.0637890i
\(39\) −0.566274 1.92855i −0.0906764 0.308815i
\(40\) 3.11568 3.95518i 0.492633 0.625370i
\(41\) 5.72355 + 4.95949i 0.893869 + 0.774542i 0.975010 0.222161i \(-0.0713111\pi\)
−0.0811413 + 0.996703i \(0.525857\pi\)
\(42\) −1.47474 + 2.37537i −0.227557 + 0.366527i
\(43\) 5.98082 6.90223i 0.912066 1.05258i −0.0863468 0.996265i \(-0.527519\pi\)
0.998413 0.0563154i \(-0.0179352\pi\)
\(44\) −4.78294 + 0.149193i −0.721055 + 0.0224917i
\(45\) 0.962412 1.49754i 0.143468 0.223240i
\(46\) 0.308121 2.40910i 0.0454300 0.355202i
\(47\) 1.52819 + 2.37791i 0.222910 + 0.346854i 0.934638 0.355600i \(-0.115724\pi\)
−0.711728 + 0.702455i \(0.752087\pi\)
\(48\) −2.42594 + 3.18038i −0.350155 + 0.459048i
\(49\) 2.02442 + 2.33631i 0.289203 + 0.333758i
\(50\) 1.43384 + 2.15643i 0.202776 + 0.304965i
\(51\) 0.893597 6.21510i 0.125129 0.870289i
\(52\) 3.99492 + 0.447762i 0.553996 + 0.0620935i
\(53\) 9.62778 8.34251i 1.32248 1.14593i 0.344139 0.938919i \(-0.388171\pi\)
0.978338 0.207014i \(-0.0663744\pi\)
\(54\) −0.745940 + 1.20149i −0.101510 + 0.163502i
\(55\) −1.19996 + 4.08667i −0.161802 + 0.551047i
\(56\) −3.23984 4.55768i −0.432941 0.609045i
\(57\) −0.563566 + 0.876926i −0.0746462 + 0.116152i
\(58\) −4.56318 3.83111i −0.599175 0.503049i
\(59\) 0.922919 + 3.14317i 0.120154 + 0.409206i 0.997501 0.0706494i \(-0.0225072\pi\)
−0.877347 + 0.479856i \(0.840689\pi\)
\(60\) 2.01727 + 2.93362i 0.260428 + 0.378728i
\(61\) 2.10509 0.302666i 0.269529 0.0387524i −0.00622508 0.999981i \(-0.501982\pi\)
0.275754 + 0.961228i \(0.411072\pi\)
\(62\) 5.10430 + 2.23555i 0.648247 + 0.283915i
\(63\) −1.29467 1.49413i −0.163114 0.188243i
\(64\) −3.98855 6.93480i −0.498569 0.866850i
\(65\) 1.48636 3.25467i 0.184360 0.403693i
\(66\) 0.902563 3.26110i 0.111098 0.401413i
\(67\) −6.47628 5.00578i −0.791203 0.611553i
\(68\) 10.7710 + 6.45671i 1.30618 + 0.782991i
\(69\) 1.56217 + 0.713420i 0.188063 + 0.0858857i
\(70\) −4.75308 + 1.47650i −0.568102 + 0.176476i
\(71\) −5.54718 + 4.80665i −0.658329 + 0.570445i −0.918648 0.395078i \(-0.870718\pi\)
0.260319 + 0.965523i \(0.416172\pi\)
\(72\) −1.63875 2.30532i −0.193128 0.271685i
\(73\) −0.690269 4.80092i −0.0807898 0.561906i −0.989506 0.144491i \(-0.953845\pi\)
0.908716 0.417414i \(-0.137064\pi\)
\(74\) 3.62607 + 3.04434i 0.421522 + 0.353897i
\(75\) −1.75696 + 0.515889i −0.202876 + 0.0595697i
\(76\) −1.18127 1.71786i −0.135500 0.197052i
\(77\) 3.97937 + 2.55739i 0.453491 + 0.291441i
\(78\) −1.14037 + 2.60375i −0.129122 + 0.294816i
\(79\) −14.8572 4.36247i −1.67157 0.490817i −0.697408 0.716675i \(-0.745663\pi\)
−0.974160 + 0.225858i \(0.927481\pi\)
\(80\) −6.97119 + 1.45066i −0.779403 + 0.162188i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −1.68934 10.5763i −0.186556 1.16795i
\(83\) −6.76663 0.972894i −0.742734 0.106789i −0.239448 0.970909i \(-0.576967\pi\)
−0.503286 + 0.864120i \(0.667876\pi\)
\(84\) 3.75730 1.23173i 0.409955 0.134392i
\(85\) 8.44737 7.31969i 0.916246 0.793932i
\(86\) −12.7543 + 2.03723i −1.37533 + 0.219680i
\(87\) 3.54426 2.27776i 0.379985 0.244202i
\(88\) 5.31607 + 4.18771i 0.566695 + 0.446412i
\(89\) −6.14420 3.94864i −0.651284 0.418555i 0.172851 0.984948i \(-0.444702\pi\)
−0.824135 + 0.566393i \(0.808338\pi\)
\(90\) −2.40416 + 0.746831i −0.253421 + 0.0787229i
\(91\) −3.00316 2.60226i −0.314817 0.272791i
\(92\) −2.52441 + 2.32911i −0.263188 + 0.242827i
\(93\) −2.58033 + 2.97786i −0.267568 + 0.308790i
\(94\) 0.507140 3.96516i 0.0523075 0.408975i
\(95\) −1.78045 + 0.522788i −0.182670 + 0.0536369i
\(96\) 5.51957 1.23867i 0.563339 0.126421i
\(97\) 0.606253i 0.0615556i −0.999526 0.0307778i \(-0.990202\pi\)
0.999526 0.0307778i \(-0.00979843\pi\)
\(98\) −0.0681606 4.37134i −0.00688526 0.441572i
\(99\) 2.01281 + 1.29355i 0.202295 + 0.130007i
\(100\) 0.407922 3.63947i 0.0407922 0.363947i
\(101\) 0.0826705 0.0377544i 0.00822602 0.00375670i −0.411298 0.911501i \(-0.634924\pi\)
0.419524 + 0.907744i \(0.362197\pi\)
\(102\) −6.61948 + 5.91900i −0.655426 + 0.586068i
\(103\) 0.689707 + 2.34893i 0.0679588 + 0.231447i 0.986468 0.163953i \(-0.0524244\pi\)
−0.918509 + 0.395399i \(0.870606\pi\)
\(104\) −3.91974 4.11770i −0.384362 0.403774i
\(105\) 3.51936i 0.343455i
\(106\) −18.0140 + 0.280885i −1.74967 + 0.0272820i
\(107\) −4.80502 + 0.690857i −0.464519 + 0.0667877i −0.370601 0.928792i \(-0.620848\pi\)
−0.0939178 + 0.995580i \(0.529939\pi\)
\(108\) 1.90049 0.623021i 0.182874 0.0599502i
\(109\) −1.10838 + 3.77479i −0.106164 + 0.361560i −0.995390 0.0959069i \(-0.969425\pi\)
0.889227 + 0.457467i \(0.151243\pi\)
\(110\) 5.01584 3.33511i 0.478241 0.317990i
\(111\) −2.81640 + 1.80999i −0.267321 + 0.171797i
\(112\) −0.635396 + 7.88252i −0.0600393 + 0.744829i
\(113\) −1.55991 + 0.224281i −0.146744 + 0.0210986i −0.215295 0.976549i \(-0.569071\pi\)
0.0685513 + 0.997648i \(0.478162\pi\)
\(114\) 1.40782 0.437327i 0.131854 0.0409594i
\(115\) 1.26998 + 2.78087i 0.118426 + 0.259318i
\(116\) 1.45862 + 8.29894i 0.135429 + 0.770538i
\(117\) −1.51903 1.31625i −0.140435 0.121687i
\(118\) 1.85859 4.24362i 0.171097 0.390657i
\(119\) −5.15686 11.2920i −0.472729 1.03513i
\(120\) 0.482744 5.01178i 0.0440683 0.457511i
\(121\) 5.06163 + 1.48623i 0.460148 + 0.135112i
\(122\) −2.55525 1.58642i −0.231341 0.143628i
\(123\) 7.49626 + 1.07780i 0.675915 + 0.0971819i
\(124\) −3.49560 7.06286i −0.313915 0.634263i
\(125\) −11.0614 5.05158i −0.989363 0.451827i
\(126\) 0.0435906 + 2.79559i 0.00388336 + 0.249051i
\(127\) 6.66004 + 3.04154i 0.590983 + 0.269893i 0.688377 0.725353i \(-0.258323\pi\)
−0.0973940 + 0.995246i \(0.531051\pi\)
\(128\) −1.98607 + 11.1380i −0.175546 + 0.984471i
\(129\) 1.29976 9.04000i 0.114437 0.795928i
\(130\) −4.56947 + 2.17354i −0.400769 + 0.190632i
\(131\) 5.78064 + 8.99486i 0.505057 + 0.785884i 0.996373 0.0850975i \(-0.0271202\pi\)
−0.491316 + 0.870982i \(0.663484\pi\)
\(132\) −3.94300 + 2.71136i −0.343194 + 0.235994i
\(133\) 2.06086i 0.178699i
\(134\) 2.46252 + 11.3109i 0.212729 + 0.977111i
\(135\) 1.78013i 0.153209i
\(136\) −5.79478 16.7878i −0.496898 1.43954i
\(137\) 12.1909 + 18.9695i 1.04154 + 1.62067i 0.746743 + 0.665113i \(0.231617\pi\)
0.294800 + 0.955559i \(0.404747\pi\)
\(138\) −1.04325 2.19325i −0.0888073 0.186702i
\(139\) 0.199825 1.38981i 0.0169490 0.117883i −0.979591 0.201004i \(-0.935580\pi\)
0.996539 + 0.0831210i \(0.0264888\pi\)
\(140\) 6.49070 + 2.72295i 0.548564 + 0.230131i
\(141\) 2.57120 + 1.17423i 0.216534 + 0.0988876i
\(142\) 10.3790 0.161836i 0.870988 0.0135810i
\(143\) 4.37453 + 1.99778i 0.365816 + 0.167063i
\(144\) −0.321390 + 3.98707i −0.0267825 + 0.332256i
\(145\) 7.42349 + 1.06734i 0.616488 + 0.0886375i
\(146\) −3.61803 + 5.82757i −0.299430 + 0.482293i
\(147\) 2.96616 + 0.870943i 0.244645 + 0.0718341i
\(148\) −1.15907 6.59464i −0.0952750 0.542076i
\(149\) 0.496798 + 1.08784i 0.0406993 + 0.0891191i 0.928890 0.370357i \(-0.120765\pi\)
−0.888190 + 0.459476i \(0.848037\pi\)
\(150\) 2.37208 + 1.03891i 0.193679 + 0.0848263i
\(151\) 8.47854 + 7.34670i 0.689974 + 0.597866i 0.927637 0.373482i \(-0.121836\pi\)
−0.237664 + 0.971347i \(0.576382\pi\)
\(152\) −0.282684 + 2.93478i −0.0229287 + 0.238042i
\(153\) −2.60840 5.71159i −0.210876 0.461755i
\(154\) −1.98453 6.38850i −0.159918 0.514800i
\(155\) −6.94282 + 0.998227i −0.557661 + 0.0801795i
\(156\) 3.60282 1.78314i 0.288457 0.142765i
\(157\) 0.653067 0.419701i 0.0521205 0.0334958i −0.514321 0.857598i \(-0.671956\pi\)
0.566442 + 0.824102i \(0.308320\pi\)
\(158\) 12.1249 + 18.2352i 0.964605 + 1.45072i
\(159\) 3.58910 12.2233i 0.284634 0.969374i
\(160\) 8.86963 + 4.76796i 0.701206 + 0.376940i
\(161\) 3.36072 0.483198i 0.264861 0.0380813i
\(162\) 0.0220486 + 1.41404i 0.00173230 + 0.111098i
\(163\) 9.72324i 0.761583i 0.924661 + 0.380791i \(0.124348\pi\)
−0.924661 + 0.380791i \(0.875652\pi\)
\(164\) −7.78767 + 12.9913i −0.608115 + 1.01445i
\(165\) 1.19996 + 4.08667i 0.0934164 + 0.318147i
\(166\) 6.44425 + 7.20689i 0.500170 + 0.559363i
\(167\) 18.1833 8.30404i 1.40707 0.642586i 0.440208 0.897896i \(-0.354905\pi\)
0.966859 + 0.255310i \(0.0821775\pi\)
\(168\) −5.18959 2.08257i −0.400386 0.160674i
\(169\) 7.53765 + 4.84415i 0.579819 + 0.372627i
\(170\) −15.8054 + 0.246448i −1.21222 + 0.0189017i
\(171\) 1.04240i 0.0797146i
\(172\) 15.6667 + 9.39142i 1.19457 + 0.716089i
\(173\) −20.3429 + 5.97321i −1.54664 + 0.454135i −0.940094 0.340914i \(-0.889263\pi\)
−0.606546 + 0.795049i \(0.707445\pi\)
\(174\) −5.91005 0.755889i −0.448039 0.0573038i
\(175\) −2.37072 + 2.73595i −0.179209 + 0.206819i
\(176\) −1.94979 9.36981i −0.146971 0.706276i
\(177\) 2.47574 + 2.14524i 0.186088 + 0.161246i
\(178\) 3.06414 + 9.86393i 0.229667 + 0.739333i
\(179\) 17.7734 + 11.4223i 1.32845 + 0.853740i 0.995997 0.0893818i \(-0.0284891\pi\)
0.332448 + 0.943122i \(0.392126\pi\)
\(180\) 3.28307 + 1.37730i 0.244705 + 0.102658i
\(181\) −5.17591 + 3.32636i −0.384723 + 0.247246i −0.718678 0.695343i \(-0.755253\pi\)
0.333956 + 0.942589i \(0.391616\pi\)
\(182\) 0.886399 + 5.54939i 0.0657043 + 0.411348i
\(183\) 1.60728 1.39272i 0.118814 0.102953i
\(184\) 4.85214 0.227120i 0.357704 0.0167435i
\(185\) −5.89898 0.848145i −0.433701 0.0623568i
\(186\) 5.50264 0.878931i 0.403473 0.0644464i
\(187\) 9.83822 + 11.3539i 0.719442 + 0.830280i
\(188\) −4.15495 + 3.83351i −0.303031 + 0.279587i
\(189\) −1.89694 0.556992i −0.137982 0.0405152i
\(190\) 2.40380 + 1.05280i 0.174390 + 0.0763781i
\(191\) −8.17808 5.25573i −0.591745 0.380291i 0.210227 0.977653i \(-0.432580\pi\)
−0.801972 + 0.597361i \(0.796216\pi\)
\(192\) −7.10462 3.67755i −0.512732 0.265404i
\(193\) −18.6592 + 5.47884i −1.34312 + 0.394375i −0.872782 0.488111i \(-0.837686\pi\)
−0.470338 + 0.882486i \(0.655868\pi\)
\(194\) −0.551288 + 0.656632i −0.0395802 + 0.0471434i
\(195\) −0.509204 3.54159i −0.0364649 0.253619i
\(196\) −3.90120 + 4.79658i −0.278657 + 0.342613i
\(197\) 2.49101 2.15847i 0.177477 0.153785i −0.561592 0.827414i \(-0.689811\pi\)
0.739069 + 0.673629i \(0.235266\pi\)
\(198\) −1.00380 3.23137i −0.0713368 0.229644i
\(199\) −17.7051 8.08563i −1.25508 0.573175i −0.326811 0.945090i \(-0.605974\pi\)
−0.928267 + 0.371914i \(0.878701\pi\)
\(200\) −3.75133 + 3.57097i −0.265259 + 0.252506i
\(201\) −8.15452 0.709787i −0.575176 0.0500645i
\(202\) −0.123872 0.0342836i −0.00871559 0.00241219i
\(203\) 3.46014 7.57664i 0.242854 0.531776i
\(204\) 12.5519 0.391530i 0.878811 0.0274126i
\(205\) 8.82854 + 10.1887i 0.616612 + 0.711608i
\(206\) 1.38894 3.17130i 0.0967723 0.220955i
\(207\) 1.69989 0.244407i 0.118150 0.0169874i
\(208\) 0.501085 + 8.02425i 0.0347440 + 0.556382i
\(209\) −0.702666 2.39306i −0.0486044 0.165531i
\(210\) −3.20029 + 3.81182i −0.220841 + 0.263041i
\(211\) −7.72185 + 12.0154i −0.531594 + 0.827177i −0.998363 0.0572028i \(-0.981782\pi\)
0.466768 + 0.884380i \(0.345418\pi\)
\(212\) 19.7664 + 16.0766i 1.35756 + 1.10414i
\(213\) −2.06791 + 7.04264i −0.141691 + 0.482554i
\(214\) 5.83254 + 3.62111i 0.398704 + 0.247534i
\(215\) 12.2869 10.6466i 0.837959 0.726095i
\(216\) −2.62495 1.05339i −0.178605 0.0716740i
\(217\) −1.10864 + 7.71073i −0.0752591 + 0.523438i
\(218\) 4.63305 3.08059i 0.313790 0.208644i
\(219\) −3.17627 3.66561i −0.214632 0.247699i
\(220\) −8.46539 0.948825i −0.570737 0.0639698i
\(221\) −6.82323 10.6172i −0.458980 0.714187i
\(222\) 4.69634 + 0.600657i 0.315197 + 0.0403134i
\(223\) −12.1667 + 18.9317i −0.814740 + 1.26776i 0.145716 + 0.989326i \(0.453451\pi\)
−0.960456 + 0.278433i \(0.910185\pi\)
\(224\) 7.85607 7.95977i 0.524906 0.531835i
\(225\) −1.19914 + 1.38388i −0.0799423 + 0.0922584i
\(226\) 1.89349 + 1.17557i 0.125953 + 0.0781974i
\(227\) −8.05718 6.98158i −0.534774 0.463384i 0.345117 0.938559i \(-0.387839\pi\)
−0.879891 + 0.475176i \(0.842385\pi\)
\(228\) −1.92249 0.806514i −0.127320 0.0534127i
\(229\) −1.23012 4.18940i −0.0812885 0.276843i 0.908812 0.417207i \(-0.136991\pi\)
−0.990100 + 0.140364i \(0.955173\pi\)
\(230\) 1.15323 4.16681i 0.0760419 0.274751i
\(231\) 4.73029 0.311230
\(232\) 5.96671 10.3150i 0.391734 0.677210i
\(233\) −12.6975 + 19.7577i −0.831840 + 1.29437i 0.121538 + 0.992587i \(0.461217\pi\)
−0.953377 + 0.301781i \(0.902419\pi\)
\(234\) 0.448350 + 2.80694i 0.0293096 + 0.183496i
\(235\) 2.09028 + 4.57707i 0.136355 + 0.298575i
\(236\) −5.87192 + 2.90618i −0.382229 + 0.189176i
\(237\) −14.8572 + 4.36247i −0.965080 + 0.283373i
\(238\) −4.68279 + 16.9196i −0.303540 + 1.09674i
\(239\) 10.4669 0.677048 0.338524 0.940958i \(-0.390072\pi\)
0.338524 + 0.940958i \(0.390072\pi\)
\(240\) −5.08026 + 4.98928i −0.327929 + 0.322057i
\(241\) 2.65578 + 18.4713i 0.171074 + 1.18984i 0.876621 + 0.481181i \(0.159792\pi\)
−0.705548 + 0.708662i \(0.749299\pi\)
\(242\) −4.13077 6.21246i −0.265536 0.399352i
\(243\) −0.959493 0.281733i −0.0615515 0.0180732i
\(244\) 1.32500 + 4.04183i 0.0848245 + 0.258752i
\(245\) 2.97518 + 4.62947i 0.190077 + 0.295766i
\(246\) −7.13912 7.98399i −0.455173 0.509041i
\(247\) 0.298178 + 2.07387i 0.0189726 + 0.131957i
\(248\) −2.63643 + 10.8285i −0.167413 + 0.687608i
\(249\) −6.21844 + 2.83986i −0.394077 + 0.179969i
\(250\) 7.38703 + 15.5299i 0.467197 + 0.982198i
\(251\) −6.80992 + 7.85907i −0.429838 + 0.496060i −0.928809 0.370559i \(-0.879166\pi\)
0.498971 + 0.866619i \(0.333712\pi\)
\(252\) 2.49492 3.06755i 0.157165 0.193237i
\(253\) −3.73770 + 1.70695i −0.234987 + 0.107315i
\(254\) −4.44771 9.35052i −0.279074 0.586704i
\(255\) 3.14906 10.7247i 0.197202 0.671607i
\(256\) 12.2793 10.2576i 0.767458 0.641099i
\(257\) 1.69235 11.7706i 0.105566 0.734227i −0.866442 0.499278i \(-0.833599\pi\)
0.972008 0.234949i \(-0.0754923\pi\)
\(258\) −9.62818 + 8.60931i −0.599424 + 0.535992i
\(259\) −2.74955 + 6.02067i −0.170849 + 0.374106i
\(260\) 6.92567 + 1.80103i 0.429512 + 0.111695i
\(261\) 1.75017 3.83235i 0.108333 0.237216i
\(262\) 1.91834 14.9989i 0.118516 0.926634i
\(263\) −0.273729 0.0393562i −0.0168788 0.00242681i 0.133870 0.990999i \(-0.457259\pi\)
−0.150749 + 0.988572i \(0.548169\pi\)
\(264\) 6.73621 + 0.648844i 0.414585 + 0.0399336i
\(265\) 19.0777 12.2605i 1.17194 0.753158i
\(266\) 1.87401 2.23211i 0.114903 0.136860i
\(267\) −7.30363 −0.446975
\(268\) 7.61825 14.4901i 0.465359 0.885122i
\(269\) 17.8885 1.09068 0.545342 0.838214i \(-0.316400\pi\)
0.545342 + 0.838214i \(0.316400\pi\)
\(270\) −1.61874 + 1.92806i −0.0985134 + 0.117338i
\(271\) −6.26914 + 4.02893i −0.380823 + 0.244740i −0.717022 0.697051i \(-0.754495\pi\)
0.336198 + 0.941791i \(0.390859\pi\)
\(272\) −8.98941 + 23.4522i −0.545063 + 1.42200i
\(273\) −3.93331 0.565524i −0.238055 0.0342271i
\(274\) 4.04564 31.6315i 0.244406 1.91093i
\(275\) 1.82002 3.98530i 0.109752 0.240322i
\(276\) −0.864457 + 3.32417i −0.0520342 + 0.200092i
\(277\) −0.111969 + 0.245179i −0.00672759 + 0.0147314i −0.912966 0.408036i \(-0.866214\pi\)
0.906238 + 0.422767i \(0.138941\pi\)
\(278\) −1.48024 + 1.32360i −0.0887789 + 0.0793843i
\(279\) −0.560760 + 3.90017i −0.0335718 + 0.233497i
\(280\) −4.55400 8.85146i −0.272153 0.528976i
\(281\) −6.94070 + 23.6379i −0.414048 + 1.41012i 0.443760 + 0.896146i \(0.353644\pi\)
−0.857807 + 0.513971i \(0.828174\pi\)
\(282\) −1.71709 3.60989i −0.102252 0.214966i
\(283\) 7.80161 3.56288i 0.463758 0.211791i −0.169812 0.985476i \(-0.554316\pi\)
0.633570 + 0.773685i \(0.281589\pi\)
\(284\) −11.3887 9.26274i −0.675794 0.549643i
\(285\) −1.21517 + 1.40238i −0.0719805 + 0.0830699i
\(286\) −2.92140 6.14172i −0.172746 0.363167i
\(287\) 13.6196 6.21987i 0.803941 0.367148i
\(288\) 3.97369 4.02614i 0.234152 0.237243i
\(289\) −3.19156 22.1978i −0.187739 1.30575i
\(290\) −7.06982 7.90649i −0.415154 0.464285i
\(291\) −0.327765 0.510012i −0.0192139 0.0298974i
\(292\) 9.21791 3.02183i 0.539437 0.176839i
\(293\) −25.2052 7.40090i −1.47250 0.432365i −0.555590 0.831456i \(-0.687508\pi\)
−0.916911 + 0.399091i \(0.869326\pi\)
\(294\) −2.42067 3.64056i −0.141176 0.212322i
\(295\) 0.829906 + 5.77212i 0.0483190 + 0.336066i
\(296\) −4.74136 + 8.19664i −0.275586 + 0.476420i
\(297\) 2.39263 0.138835
\(298\) 0.451128 1.62999i 0.0261331 0.0944230i
\(299\) 3.31203 0.972500i 0.191540 0.0562411i
\(300\) −1.62448 3.28226i −0.0937894 0.189501i
\(301\) −7.50076 16.4244i −0.432337 0.946686i
\(302\) −2.50248 15.6671i −0.144002 0.901538i
\(303\) 0.0491353 0.0764560i 0.00282275 0.00439228i
\(304\) 2.97488 2.92161i 0.170621 0.167566i
\(305\) 3.78587 0.216778
\(306\) −2.36861 + 8.55814i −0.135404 + 0.489236i
\(307\) 4.76140 + 16.2158i 0.271747 + 0.925486i 0.976407 + 0.215940i \(0.0692816\pi\)
−0.704659 + 0.709546i \(0.748900\pi\)
\(308\) −3.65985 + 8.72399i −0.208539 + 0.497095i
\(309\) 1.85014 + 1.60316i 0.105251 + 0.0912005i
\(310\) 8.42750 + 5.23219i 0.478650 + 0.297168i
\(311\) 7.37531 8.51156i 0.418215 0.482646i −0.507077 0.861901i \(-0.669274\pi\)
0.925292 + 0.379255i \(0.123820\pi\)
\(312\) −5.52369 1.34486i −0.312717 0.0761379i
\(313\) −11.3008 + 17.5844i −0.638760 + 0.993930i 0.359394 + 0.933186i \(0.382984\pi\)
−0.998153 + 0.0607436i \(0.980653\pi\)
\(314\) −1.08899 0.139280i −0.0614551 0.00786004i
\(315\) −1.90271 2.96068i −0.107206 0.166815i
\(316\) 3.44948 30.7762i 0.194048 1.73130i
\(317\) −3.46188 3.99522i −0.194438 0.224394i 0.650156 0.759801i \(-0.274704\pi\)
−0.844594 + 0.535407i \(0.820158\pi\)
\(318\) −15.0025 + 9.97540i −0.841298 + 0.559393i
\(319\) −1.43458 + 9.97774i −0.0803212 + 0.558646i
\(320\) −5.27102 13.2297i −0.294659 0.739561i
\(321\) −3.66873 + 3.17897i −0.204769 + 0.177433i
\(322\) −4.07938 2.53267i −0.227335 0.141140i
\(323\) −1.84402 + 6.28014i −0.102604 + 0.349436i
\(324\) 1.26196 1.55160i 0.0701089 0.0861999i
\(325\) −1.98984 + 3.09625i −0.110376 + 0.171749i
\(326\) 8.84170 10.5312i 0.489696 0.583271i
\(327\) 1.10838 + 3.77479i 0.0612935 + 0.208747i
\(328\) 20.2483 6.98929i 1.11803 0.385919i
\(329\) 5.53144 0.795300i 0.304958 0.0438463i
\(330\) 2.41649 5.51744i 0.133023 0.303725i
\(331\) 13.7440 + 15.8614i 0.755438 + 0.871822i 0.995084 0.0990386i \(-0.0315767\pi\)
−0.239646 + 0.970860i \(0.577031\pi\)
\(332\) −0.426274 13.6658i −0.0233948 0.750007i
\(333\) −1.39075 + 3.04532i −0.0762128 + 0.166883i
\(334\) −27.2455 7.54065i −1.49081 0.412606i
\(335\) −10.1431 10.4609i −0.554178 0.571542i
\(336\) 3.72709 + 6.97472i 0.203329 + 0.380502i
\(337\) −10.5943 4.83825i −0.577108 0.263557i 0.105405 0.994429i \(-0.466386\pi\)
−0.682514 + 0.730873i \(0.739113\pi\)
\(338\) −3.75906 12.1010i −0.204466 0.658206i
\(339\) −1.19102 + 1.03203i −0.0646876 + 0.0560521i
\(340\) 17.3430 + 14.1055i 0.940554 + 0.764980i
\(341\) −1.34169 9.33168i −0.0726567 0.505339i
\(342\) 0.947897 1.12903i 0.0512564 0.0610508i
\(343\) 19.1427 5.62082i 1.03361 0.303496i
\(344\) −8.42863 24.4182i −0.454441 1.31654i
\(345\) 2.57183 + 1.65281i 0.138463 + 0.0889846i
\(346\) 27.4650 + 12.0290i 1.47653 + 0.646680i
\(347\) 4.49498 + 1.31984i 0.241303 + 0.0708530i 0.400148 0.916451i \(-0.368959\pi\)
−0.158845 + 0.987304i \(0.550777\pi\)
\(348\) 5.71381 + 6.19293i 0.306293 + 0.331976i
\(349\) −10.6234 12.2601i −0.568660 0.656268i 0.396468 0.918049i \(-0.370236\pi\)
−0.965127 + 0.261780i \(0.915690\pi\)
\(350\) 5.05563 0.807531i 0.270235 0.0431643i
\(351\) −1.98951 0.286049i −0.106192 0.0152681i
\(352\) −6.40849 + 11.9215i −0.341574 + 0.635416i
\(353\) 3.36982 2.91996i 0.179357 0.155414i −0.560555 0.828117i \(-0.689412\pi\)
0.739913 + 0.672703i \(0.234867\pi\)
\(354\) −0.730726 4.57479i −0.0388377 0.243147i
\(355\) −10.9919 + 7.06407i −0.583390 + 0.374922i
\(356\) 5.65086 13.4700i 0.299495 0.713906i
\(357\) −10.4431 6.71138i −0.552708 0.355204i
\(358\) −8.86367 28.5335i −0.468460 1.50804i
\(359\) 12.0898 + 10.4759i 0.638078 + 0.552898i 0.912687 0.408658i \(-0.134003\pi\)
−0.274610 + 0.961556i \(0.588549\pi\)
\(360\) −2.30346 4.47717i −0.121403 0.235967i
\(361\) −11.7308 + 13.5380i −0.617409 + 0.712528i
\(362\) 8.63081 + 1.10387i 0.453625 + 0.0580182i
\(363\) 5.06163 1.48623i 0.265666 0.0780067i
\(364\) 4.08621 6.81659i 0.214176 0.357286i
\(365\) 8.63416i 0.451933i
\(366\) −3.00729 + 0.0468916i −0.157194 + 0.00245106i
\(367\) −21.1011 13.5609i −1.10147 0.707871i −0.142051 0.989859i \(-0.545370\pi\)
−0.959418 + 0.281988i \(0.909006\pi\)
\(368\) −5.46188 4.16623i −0.284720 0.217180i
\(369\) 6.88896 3.14608i 0.358625 0.163778i
\(370\) 5.61793 + 6.28278i 0.292062 + 0.326626i
\(371\) −7.09572 24.1658i −0.368392 1.25463i
\(372\) −6.75916 4.05179i −0.350446 0.210075i
\(373\) 0.0208542i 0.00107979i −1.00000 0.000539896i \(-0.999828\pi\)
1.00000 0.000539896i \(-0.000171854\pi\)
\(374\) −0.331244 21.2437i −0.0171282 1.09848i
\(375\) −12.0365 + 1.73059i −0.621564 + 0.0893674i
\(376\) 7.98618 0.373819i 0.411856 0.0192782i
\(377\) 2.38575 8.12513i 0.122873 0.418466i
\(378\) 1.54808 + 2.32824i 0.0796248 + 0.119752i
\(379\) −12.2878 + 7.89688i −0.631181 + 0.405635i −0.816747 0.576996i \(-0.804225\pi\)
0.185566 + 0.982632i \(0.440588\pi\)
\(380\) −1.64620 3.32615i −0.0844485 0.170628i
\(381\) 7.24716 1.04198i 0.371283 0.0533825i
\(382\) 4.07845 + 13.1291i 0.208671 + 0.671744i
\(383\) 11.0930 + 24.2903i 0.566827 + 1.24118i 0.948470 + 0.316868i \(0.102631\pi\)
−0.381643 + 0.924310i \(0.624642\pi\)
\(384\) 4.35088 + 10.4437i 0.222030 + 0.532950i
\(385\) 6.36382 + 5.51428i 0.324330 + 0.281034i
\(386\) 25.1919 + 11.0334i 1.28223 + 0.561584i
\(387\) −3.79397 8.30763i −0.192858 0.422301i
\(388\) 1.19420 0.209892i 0.0606263 0.0106556i
\(389\) −36.2474 10.6432i −1.83781 0.539631i −0.837834 0.545926i \(-0.816178\pi\)
−0.999980 + 0.00629471i \(0.997996\pi\)
\(390\) −2.66898 + 4.29894i −0.135149 + 0.217685i
\(391\) 10.6736 + 1.53463i 0.539788 + 0.0776098i
\(392\) 8.58710 1.64767i 0.433714 0.0832201i
\(393\) 9.72597 + 4.44170i 0.490610 + 0.224054i
\(394\) −4.66079 + 0.0726739i −0.234807 + 0.00366126i
\(395\) −25.0734 11.4506i −1.26158 0.576145i
\(396\) −1.85119 + 4.41269i −0.0930259 + 0.221746i
\(397\) 1.48835 10.3517i 0.0746979 0.519535i −0.917778 0.397094i \(-0.870019\pi\)
0.992476 0.122441i \(-0.0390723\pi\)
\(398\) 11.8238 + 24.8574i 0.592673 + 1.24599i
\(399\) 1.11418 + 1.73370i 0.0557789 + 0.0867937i
\(400\) 7.31028 0.456501i 0.365514 0.0228250i
\(401\) 0.604054i 0.0301650i 0.999886 + 0.0150825i \(0.00480109\pi\)
−0.999886 + 0.0150825i \(0.995199\pi\)
\(402\) 8.18673 + 8.18398i 0.408317 + 0.408180i
\(403\) 7.91984i 0.394515i
\(404\) 0.102990 + 0.149774i 0.00512396 + 0.00745153i
\(405\) −0.962412 1.49754i −0.0478226 0.0744135i
\(406\) −10.6374 + 5.05983i −0.527925 + 0.251115i
\(407\) 1.13997 7.92867i 0.0565062 0.393010i
\(408\) −13.9510 10.9899i −0.690679 0.544080i
\(409\) 32.9903 + 15.0662i 1.63127 + 0.744974i 0.999543 0.0302208i \(-0.00962106\pi\)
0.631722 + 0.775195i \(0.282348\pi\)
\(410\) −0.297249 19.0635i −0.0146801 0.941478i
\(411\) 20.5114 + 9.36722i 1.01175 + 0.462051i
\(412\) −4.38814 + 2.17182i −0.216188 + 0.106998i
\(413\) 6.41055 + 0.921698i 0.315442 + 0.0453538i
\(414\) −2.06340 1.28105i −0.101410 0.0629603i
\(415\) −11.6764 3.42850i −0.573172 0.168299i
\(416\) 6.75402 9.14672i 0.331143 0.448455i
\(417\) −0.583287 1.27722i −0.0285637 0.0625457i
\(418\) −1.41504 + 3.23089i −0.0692119 + 0.158028i
\(419\) −28.6928 24.8625i −1.40174 1.21461i −0.945862 0.324568i \(-0.894781\pi\)
−0.455875 0.890044i \(-0.650673\pi\)
\(420\) 6.93246 1.21845i 0.338269 0.0594540i
\(421\) −2.09921 4.59663i −0.102309 0.224026i 0.851554 0.524266i \(-0.175660\pi\)
−0.953864 + 0.300240i \(0.902933\pi\)
\(422\) 19.2896 5.99216i 0.939004 0.291694i
\(423\) 2.79786 0.402272i 0.136037 0.0195591i
\(424\) −6.78995 35.3869i −0.329749 1.71854i
\(425\) −9.67248 + 6.21612i −0.469184 + 0.301526i
\(426\) 8.64389 5.74747i 0.418798 0.278466i
\(427\) 1.18457 4.03429i 0.0573256 0.195233i
\(428\) −3.02441 9.22577i −0.146190 0.445944i
\(429\) 4.76017 0.684409i 0.229823 0.0330436i
\(430\) −22.9893 + 0.358464i −1.10864 + 0.0172866i
\(431\) 13.4931i 0.649937i 0.945725 + 0.324969i \(0.105354\pi\)
−0.945725 + 0.324969i \(0.894646\pi\)
\(432\) 1.88520 + 3.52789i 0.0907018 + 0.169736i
\(433\) 0.898045 + 3.05846i 0.0431573 + 0.146980i 0.978253 0.207415i \(-0.0665050\pi\)
−0.935096 + 0.354395i \(0.884687\pi\)
\(434\) 8.21242 7.34337i 0.394209 0.352493i
\(435\) 6.82209 3.11554i 0.327094 0.149379i
\(436\) −7.81935 0.876414i −0.374479 0.0419726i
\(437\) −1.50600 0.967850i −0.0720419 0.0462985i
\(438\) 0.106942 + 6.85852i 0.00510990 + 0.327713i
\(439\) 9.97295i 0.475983i −0.971267 0.237991i \(-0.923511\pi\)
0.971267 0.237991i \(-0.0764890\pi\)
\(440\) 8.30607 + 8.72557i 0.395976 + 0.415975i
\(441\) 2.96616 0.870943i 0.141246 0.0414735i
\(442\) −2.26433 + 17.7041i −0.107703 + 0.842096i
\(443\) −12.5116 + 14.4392i −0.594446 + 0.686027i −0.970646 0.240511i \(-0.922685\pi\)
0.376200 + 0.926538i \(0.377230\pi\)
\(444\) −4.54040 4.92112i −0.215478 0.233546i
\(445\) −9.82582 8.51412i −0.465789 0.403608i
\(446\) 30.3930 9.44132i 1.43915 0.447060i
\(447\) 1.00606 + 0.646557i 0.0475851 + 0.0305811i
\(448\) −15.7470 + 1.47742i −0.743977 + 0.0698014i
\(449\) 29.3428 18.8575i 1.38477 0.889939i 0.385312 0.922786i \(-0.374094\pi\)
0.999460 + 0.0328475i \(0.0104576\pi\)
\(450\) 2.55719 0.408458i 0.120547 0.0192549i
\(451\) −13.6944 + 11.8662i −0.644842 + 0.558759i
\(452\) −0.981850 2.99507i −0.0461823 0.140876i
\(453\) 11.1045 + 1.59659i 0.521736 + 0.0750143i
\(454\) 2.37812 + 14.8884i 0.111611 + 0.698749i
\(455\) −4.63236 5.34603i −0.217168 0.250626i
\(456\) 1.34885 + 2.62173i 0.0631659 + 0.122774i
\(457\) 12.2908 + 3.60892i 0.574941 + 0.168818i 0.556261 0.831008i \(-0.312235\pi\)
0.0186800 + 0.999826i \(0.494054\pi\)
\(458\) −2.47723 + 5.65613i −0.115754 + 0.264294i
\(459\) −5.28224 3.39469i −0.246554 0.158451i
\(460\) −5.03810 + 3.46439i −0.234903 + 0.161528i
\(461\) −20.2169 + 5.93621i −0.941594 + 0.276477i −0.716283 0.697810i \(-0.754158\pi\)
−0.225311 + 0.974287i \(0.572340\pi\)
\(462\) −5.12338 4.30143i −0.238361 0.200120i
\(463\) −4.31776 30.0307i −0.200664 1.39565i −0.802322 0.596892i \(-0.796402\pi\)
0.601658 0.798754i \(-0.294507\pi\)
\(464\) −15.8423 + 5.74639i −0.735461 + 0.266769i
\(465\) −5.30099 + 4.59333i −0.245828 + 0.213011i
\(466\) 31.7190 9.85324i 1.46936 0.456442i
\(467\) −7.02700 3.20912i −0.325171 0.148500i 0.246140 0.969234i \(-0.420838\pi\)
−0.571311 + 0.820734i \(0.693565\pi\)
\(468\) 2.06685 3.44790i 0.0955402 0.159379i
\(469\) −14.3211 + 7.53553i −0.661286 + 0.347959i
\(470\) 1.89812 6.85819i 0.0875537 0.316345i
\(471\) 0.322488 0.706150i 0.0148595 0.0325377i
\(472\) 9.00257 + 2.19187i 0.414377 + 0.100889i
\(473\) 14.3099 + 16.5145i 0.657970 + 0.759338i
\(474\) 20.0588 + 8.78523i 0.921332 + 0.403519i
\(475\) 1.88935 0.271647i 0.0866893 0.0124640i
\(476\) 20.4576 14.0674i 0.937672 0.644780i
\(477\) −3.58910 12.2233i −0.164333 0.559668i
\(478\) −11.3367 9.51795i −0.518529 0.435341i
\(479\) 8.60832 13.3948i 0.393324 0.612024i −0.586960 0.809616i \(-0.699676\pi\)
0.980284 + 0.197591i \(0.0633119\pi\)
\(480\) 10.0394 0.784226i 0.458232 0.0357948i
\(481\) −1.89581 + 6.45653i −0.0864414 + 0.294392i
\(482\) 13.9202 22.4213i 0.634048 1.02126i
\(483\) 2.56598 2.22343i 0.116756 0.101170i
\(484\) −1.17519 + 10.4850i −0.0534175 + 0.476590i
\(485\) 0.153588 1.06822i 0.00697405 0.0485056i
\(486\) 0.783037 + 1.17765i 0.0355193 + 0.0534192i
\(487\) −24.8287 28.6539i −1.12510 1.29843i −0.949429 0.313982i \(-0.898337\pi\)
−0.175669 0.984449i \(-0.556209\pi\)
\(488\) 2.24028 5.58258i 0.101413 0.252712i
\(489\) 5.25678 + 8.17971i 0.237720 + 0.369899i
\(490\) 0.987332 7.71963i 0.0446031 0.348737i
\(491\) 13.3034 20.7005i 0.600373 0.934199i −0.399474 0.916744i \(-0.630807\pi\)
0.999848 0.0174549i \(-0.00555635\pi\)
\(492\) 0.472238 + 15.1393i 0.0212901 + 0.682534i
\(493\) 17.3237 19.9926i 0.780219 0.900420i
\(494\) 1.56289 2.51736i 0.0703179 0.113261i
\(495\) 3.21889 + 2.78918i 0.144678 + 0.125364i
\(496\) 12.7022 9.33091i 0.570347 0.418970i
\(497\) 4.08830 + 13.9235i 0.183385 + 0.624553i
\(498\) 9.31758 + 2.57880i 0.417531 + 0.115559i
\(499\) 39.1013 1.75042 0.875208 0.483748i \(-0.160725\pi\)
0.875208 + 0.483748i \(0.160725\pi\)
\(500\) 6.12104 23.5378i 0.273741 1.05264i
\(501\) 10.8073 16.8164i 0.482833 0.751303i
\(502\) 14.5224 2.31964i 0.648165 0.103531i
\(503\) 1.00786 + 2.20690i 0.0449382 + 0.0984009i 0.930770 0.365606i \(-0.119138\pi\)
−0.885831 + 0.464007i \(0.846411\pi\)
\(504\) −5.49169 + 1.05373i −0.244619 + 0.0469370i
\(505\) 0.155231 0.0455800i 0.00690770 0.00202828i
\(506\) 5.60050 + 1.55003i 0.248973 + 0.0689073i
\(507\) 8.96002 0.397929
\(508\) −3.68546 + 14.1720i −0.163516 + 0.628781i
\(509\) −4.76550 33.1448i −0.211227 1.46912i −0.769067 0.639168i \(-0.779279\pi\)
0.557840 0.829948i \(-0.311630\pi\)
\(510\) −13.1631 + 8.75238i −0.582873 + 0.387562i
\(511\) −9.20071 2.70157i −0.407016 0.119511i
\(512\) −22.6273 0.0560593i −0.999997 0.00247750i
\(513\) 0.563566 + 0.876926i 0.0248821 + 0.0387172i
\(514\) −12.5364 + 11.2098i −0.552956 + 0.494442i
\(515\) 0.620197 + 4.31357i 0.0273292 + 0.190078i
\(516\) 18.2570 0.569489i 0.803722 0.0250703i
\(517\) −6.15192 + 2.80949i −0.270561 + 0.123561i
\(518\) 8.45286 4.02072i 0.371397 0.176660i
\(519\) −13.8842 + 16.0232i −0.609447 + 0.703339i
\(520\) −5.86345 8.24847i −0.257129 0.361719i
\(521\) −13.1149 + 5.98938i −0.574575 + 0.262400i −0.681440 0.731874i \(-0.738646\pi\)
0.106865 + 0.994274i \(0.465919\pi\)
\(522\) −5.38051 + 2.55932i −0.235499 + 0.112018i
\(523\) 8.46355 28.8242i 0.370085 1.26039i −0.538476 0.842641i \(-0.681000\pi\)
0.908561 0.417753i \(-0.137182\pi\)
\(524\) −15.7168 + 14.5009i −0.686591 + 0.633474i
\(525\) −0.515206 + 3.58334i −0.0224854 + 0.156390i
\(526\) 0.260687 + 0.291538i 0.0113665 + 0.0127117i
\(527\) −10.2778 + 22.5053i −0.447709 + 0.980345i
\(528\) −6.70597 6.82825i −0.291840 0.297161i
\(529\) 8.32934 18.2387i 0.362145 0.792988i
\(530\) −31.8121 4.06873i −1.38183 0.176734i
\(531\) 3.24253 + 0.466205i 0.140714 + 0.0202316i
\(532\) −4.05949 + 0.713493i −0.176001 + 0.0309339i
\(533\) 12.8057 8.22974i 0.554678 0.356470i
\(534\) 7.91056 + 6.64146i 0.342324 + 0.287404i
\(535\) −8.64152 −0.373606
\(536\) −21.4277 + 8.76665i −0.925535 + 0.378662i
\(537\) 21.1273 0.911709
\(538\) −19.3751 16.2667i −0.835319 0.701308i
\(539\) −6.22236 + 3.99887i −0.268016 + 0.172243i
\(540\) 3.50652 0.616303i 0.150896 0.0265215i
\(541\) −38.8631 5.58767i −1.67085 0.240233i −0.759101 0.650972i \(-0.774361\pi\)
−0.911753 + 0.410740i \(0.865270\pi\)
\(542\) 10.4538 + 1.33703i 0.449028 + 0.0574302i
\(543\) −2.55589 + 5.59662i −0.109684 + 0.240174i
\(544\) 31.0624 17.2267i 1.33179 0.738589i
\(545\) −2.90928 + 6.37044i −0.124620 + 0.272880i
\(546\) 3.74592 + 4.18922i 0.160310 + 0.179282i
\(547\) −4.89063 + 34.0151i −0.209108 + 1.45438i 0.566967 + 0.823741i \(0.308117\pi\)
−0.776075 + 0.630640i \(0.782792\pi\)
\(548\) −33.1456 + 30.5813i −1.41591 + 1.30637i
\(549\) 0.599171 2.04059i 0.0255720 0.0870902i
\(550\) −5.59525 + 2.66146i −0.238582 + 0.113485i
\(551\) −3.99486 + 1.82439i −0.170187 + 0.0777216i
\(552\) 3.95909 2.81433i 0.168510 0.119786i
\(553\) −20.0473 + 23.1358i −0.852499 + 0.983836i
\(554\) 0.344224 0.163735i 0.0146247 0.00695644i
\(555\) −5.42108 + 2.47572i −0.230112 + 0.105089i
\(556\) 2.80685 0.0875535i 0.119037 0.00371309i
\(557\) −0.314445 2.18701i −0.0133234 0.0926666i 0.982075 0.188492i \(-0.0603600\pi\)
−0.995398 + 0.0958255i \(0.969451\pi\)
\(558\) 4.15393 3.71436i 0.175850 0.157241i
\(559\) −9.92453 15.4429i −0.419763 0.653164i
\(560\) −3.11653 + 13.7281i −0.131697 + 0.580120i
\(561\) 14.4148 + 4.23257i 0.608594 + 0.178699i
\(562\) 29.0123 19.2907i 1.22381 0.813731i
\(563\) 1.87330 + 13.0291i 0.0789502 + 0.549111i 0.990457 + 0.137825i \(0.0440112\pi\)
−0.911506 + 0.411286i \(0.865080\pi\)
\(564\) −1.42282 + 5.47129i −0.0599115 + 0.230383i
\(565\) −2.80540 −0.118024
\(566\) −11.6898 3.23534i −0.491358 0.135992i
\(567\) −1.89694 + 0.556992i −0.0796640 + 0.0233915i
\(568\) 3.91212 + 20.3886i 0.164149 + 0.855488i
\(569\) −0.387278 0.848020i −0.0162355 0.0355508i 0.901341 0.433111i \(-0.142584\pi\)
−0.917576 + 0.397560i \(0.869857\pi\)
\(570\) 2.59139 0.413920i 0.108541 0.0173372i
\(571\) 3.03155 4.71718i 0.126866 0.197408i −0.772010 0.635611i \(-0.780748\pi\)
0.898876 + 0.438203i \(0.144385\pi\)
\(572\) −2.42073 + 9.30863i −0.101216 + 0.389213i
\(573\) −9.72130 −0.406113
\(574\) −20.4074 5.64808i −0.851788 0.235746i
\(575\) −0.885971 3.01734i −0.0369475 0.125832i
\(576\) −7.96502 + 0.747294i −0.331876 + 0.0311372i
\(577\) 32.1883 + 27.8913i 1.34002 + 1.16113i 0.972971 + 0.230926i \(0.0741757\pi\)
0.367044 + 0.930204i \(0.380370\pi\)
\(578\) −16.7285 + 26.9446i −0.695813 + 1.12075i
\(579\) −12.7350 + 14.6970i −0.529250 + 0.610787i
\(580\) 0.467654 + 14.9924i 0.0194183 + 0.622524i
\(581\) −7.30695 + 11.3698i −0.303143 + 0.471700i
\(582\) −0.108771 + 0.850443i −0.00450869 + 0.0352520i
\(583\) 16.4791 + 25.6419i 0.682493 + 1.06198i
\(584\) −12.7318 5.10924i −0.526845 0.211422i
\(585\) −2.34310 2.70408i −0.0968752 0.111800i
\(586\) 20.5698 + 30.9359i 0.849731 + 1.27795i
\(587\) 2.71089 18.8546i 0.111890 0.778215i −0.854188 0.519965i \(-0.825945\pi\)
0.966078 0.258250i \(-0.0831458\pi\)
\(588\) −0.688669 + 6.14429i −0.0284002 + 0.253386i
\(589\) 3.10414 2.68975i 0.127904 0.110829i
\(590\) 4.34994 7.00645i 0.179084 0.288451i
\(591\) 0.928612 3.16256i 0.0381980 0.130090i
\(592\) 12.5889 4.56629i 0.517400 0.187673i
\(593\) −24.2781 + 37.7775i −0.996982 + 1.55133i −0.172841 + 0.984950i \(0.555295\pi\)
−0.824141 + 0.566385i \(0.808342\pi\)
\(594\) −2.59146 2.17571i −0.106329 0.0892704i
\(595\) −6.22576 21.2030i −0.255231 0.869238i
\(596\) −1.97083 + 1.35522i −0.0807284 + 0.0555119i
\(597\) −19.2659 + 2.77001i −0.788499 + 0.113369i
\(598\) −4.47159 1.95844i −0.182857 0.0800865i
\(599\) 26.1767 + 30.2095i 1.06955 + 1.23433i 0.970970 + 0.239199i \(0.0768850\pi\)
0.0985813 + 0.995129i \(0.468570\pi\)
\(600\) −1.22520 + 5.03221i −0.0500187 + 0.205439i
\(601\) 7.81675 17.1163i 0.318852 0.698188i −0.680552 0.732699i \(-0.738260\pi\)
0.999404 + 0.0345110i \(0.0109874\pi\)
\(602\) −6.81122 + 24.6100i −0.277605 + 1.00303i
\(603\) −7.24376 + 3.81156i −0.294989 + 0.155219i
\(604\) −11.5362 + 19.2446i −0.469401 + 0.783051i
\(605\) 8.54213 + 3.90106i 0.347287 + 0.158601i
\(606\) −0.122743 + 0.0381290i −0.00498608 + 0.00154888i
\(607\) −12.8197 + 11.1083i −0.520334 + 0.450872i −0.875001 0.484121i \(-0.839140\pi\)
0.354667 + 0.934993i \(0.384594\pi\)
\(608\) −5.87882 + 0.459224i −0.238418 + 0.0186240i
\(609\) −1.18539 8.24457i −0.0480344 0.334087i
\(610\) −4.10048 3.44263i −0.166024 0.139388i
\(611\) 5.45131 1.60065i 0.220536 0.0647553i
\(612\) 10.3477 7.11546i 0.418280 0.287625i
\(613\) 8.53341 + 5.48409i 0.344661 + 0.221500i 0.701506 0.712663i \(-0.252511\pi\)
−0.356845 + 0.934164i \(0.616148\pi\)
\(614\) 9.58858 21.8931i 0.386964 0.883533i
\(615\) 12.9355 + 3.79819i 0.521608 + 0.153158i
\(616\) 11.8970 6.12092i 0.479345 0.246619i
\(617\) 7.10858 + 8.20374i 0.286181 + 0.330270i 0.880578 0.473901i \(-0.157155\pi\)
−0.594397 + 0.804172i \(0.702609\pi\)
\(618\) −0.546079 3.41879i −0.0219665 0.137524i
\(619\) −14.4957 2.08417i −0.582632 0.0837698i −0.155304 0.987867i \(-0.549636\pi\)
−0.427327 + 0.904097i \(0.640545\pi\)
\(620\) −4.37000 13.3304i −0.175503 0.535362i
\(621\) 1.29790 1.12464i 0.0520829 0.0451301i
\(622\) −15.7281 + 2.51223i −0.630638 + 0.100731i
\(623\) −12.1472 + 7.80655i −0.486669 + 0.312763i
\(624\) 4.75978 + 6.47952i 0.190544 + 0.259388i
\(625\) −10.5084 6.75331i −0.420334 0.270133i
\(626\) 28.2301 8.76943i 1.12830 0.350497i
\(627\) −1.88491 1.63328i −0.0752759 0.0652270i
\(628\) 1.05283 + 1.14111i 0.0420125 + 0.0455353i
\(629\) −13.7660 + 15.8868i −0.548887 + 0.633449i
\(630\) −0.631426 + 4.93691i −0.0251566 + 0.196691i
\(631\) 5.48767 1.61133i 0.218461 0.0641458i −0.170671 0.985328i \(-0.554593\pi\)
0.389131 + 0.921182i \(0.372775\pi\)
\(632\) −31.7221 + 30.1970i −1.26184 + 1.20117i
\(633\) 14.2828i 0.567690i
\(634\) 0.116559 + 7.47524i 0.00462913 + 0.296880i
\(635\) 10.9645 + 7.04648i 0.435114 + 0.279631i
\(636\) 25.3202 + 2.83796i 1.00401 + 0.112532i
\(637\) 5.65207 2.58121i 0.223943 0.102271i
\(638\) 10.6269 9.50237i 0.420724 0.376202i
\(639\) 2.06791 + 7.04264i 0.0818051 + 0.278603i
\(640\) −6.32118 + 19.1222i −0.249867 + 0.755871i
\(641\) 1.30046i 0.0513649i 0.999670 + 0.0256825i \(0.00817588\pi\)
−0.999670 + 0.0256825i \(0.991824\pi\)
\(642\) 6.86436 0.107033i 0.270915 0.00422427i
\(643\) 18.4340 2.65041i 0.726967 0.104522i 0.231112 0.972927i \(-0.425764\pi\)
0.495855 + 0.868405i \(0.334855\pi\)
\(644\) 2.11533 + 6.45267i 0.0833555 + 0.254271i
\(645\) 4.58037 15.5993i 0.180352 0.614223i
\(646\) 7.70802 5.12519i 0.303268 0.201648i
\(647\) 24.3924 15.6760i 0.958964 0.616289i 0.0352531 0.999378i \(-0.488776\pi\)
0.923711 + 0.383089i \(0.125140\pi\)
\(648\) −2.77775 + 0.532990i −0.109121 + 0.0209378i
\(649\) −7.75817 + 1.11546i −0.304535 + 0.0437855i
\(650\) 4.97073 1.54411i 0.194968 0.0605651i
\(651\) 3.23609 + 7.08605i 0.126832 + 0.277724i
\(652\) −19.1529 + 3.36630i −0.750085 + 0.131834i
\(653\) 11.8465 + 10.2650i 0.463588 + 0.401701i 0.855093 0.518475i \(-0.173500\pi\)
−0.391505 + 0.920176i \(0.628045\pi\)
\(654\) 2.23207 5.09637i 0.0872810 0.199284i
\(655\) 7.90682 + 17.3135i 0.308945 + 0.676495i
\(656\) −28.2866 10.8424i −1.10441 0.423326i
\(657\) −4.65382 1.36649i −0.181563 0.0533117i
\(658\) −6.71429 4.16855i −0.261750 0.162507i
\(659\) 1.00999 + 0.145215i 0.0393437 + 0.00565677i 0.161959 0.986798i \(-0.448219\pi\)
−0.122615 + 0.992454i \(0.539128\pi\)
\(660\) −7.63452 + 3.77853i −0.297173 + 0.147079i
\(661\) 5.96122 + 2.72240i 0.231865 + 0.105889i 0.527960 0.849269i \(-0.322957\pi\)
−0.296095 + 0.955159i \(0.595684\pi\)
\(662\) −0.462748 29.6774i −0.0179852 1.15345i
\(663\) −11.4801 5.24280i −0.445851 0.203613i
\(664\) −11.9651 + 15.1890i −0.464336 + 0.589449i
\(665\) −0.522096 + 3.63126i −0.0202460 + 0.140814i
\(666\) 4.27555 2.03373i 0.165674 0.0788053i
\(667\) 3.91175 + 6.08680i 0.151464 + 0.235682i
\(668\) 22.6526 + 32.9427i 0.876457 + 1.27459i
\(669\) 22.5041i 0.870061i
\(670\) 1.47350 + 20.5538i 0.0569263 + 0.794061i
\(671\) 5.08850i 0.196439i
\(672\) 2.30557 10.9435i 0.0889392 0.422155i
\(673\) −8.50714 13.2374i −0.327926 0.510263i 0.637670 0.770310i \(-0.279898\pi\)
−0.965596 + 0.260047i \(0.916262\pi\)
\(674\) 7.07508 + 14.8741i 0.272522 + 0.572929i
\(675\) −0.260597 + 1.81249i −0.0100304 + 0.0697628i
\(676\) −6.93242 + 16.5248i −0.266632 + 0.635570i
\(677\) 18.3504 + 8.38035i 0.705264 + 0.322083i 0.735562 0.677458i \(-0.236918\pi\)
−0.0302979 + 0.999541i \(0.509646\pi\)
\(678\) 2.22846 0.0347475i 0.0855835 0.00133447i
\(679\) −1.09026 0.497906i −0.0418404 0.0191079i
\(680\) −5.95748 31.0483i −0.228459 1.19065i
\(681\) −10.5527 1.51724i −0.404379 0.0581409i
\(682\) −7.03245 + 11.3272i −0.269287 + 0.433741i
\(683\) −32.6547 9.58829i −1.24950 0.366886i −0.410922 0.911670i \(-0.634793\pi\)
−0.838576 + 0.544785i \(0.816611\pi\)
\(684\) −2.05333 + 0.360893i −0.0785112 + 0.0137991i
\(685\) 16.6749 + 36.5129i 0.637115 + 1.39509i
\(686\) −25.8447 11.3193i −0.986756 0.432173i
\(687\) −3.29980 2.85929i −0.125895 0.109089i
\(688\) −13.0753 + 34.1118i −0.498490 + 1.30050i
\(689\) −10.6370 23.2918i −0.405238 0.887347i
\(690\) −1.28258 4.12882i −0.0488271 0.157182i
\(691\) 38.9706 5.60313i 1.48251 0.213153i 0.646943 0.762539i \(-0.276047\pi\)
0.835569 + 0.549386i \(0.185138\pi\)
\(692\) −18.8090 38.0035i −0.715011 1.44468i
\(693\) 3.97937 2.55739i 0.151164 0.0971471i
\(694\) −3.66833 5.51697i −0.139248 0.209421i
\(695\) 0.704189 2.39825i 0.0267114 0.0909707i
\(696\) −0.557174 11.9033i −0.0211196 0.451195i
\(697\) 47.0691 6.76752i 1.78287 0.256338i
\(698\) 0.357682 + 22.9392i 0.0135385 + 0.868262i
\(699\) 23.4860i 0.888321i
\(700\) −6.21007 3.72263i −0.234719 0.140702i
\(701\) −7.08963 24.1451i −0.267772 0.911946i −0.978110 0.208087i \(-0.933276\pi\)
0.710339 0.703860i \(-0.248542\pi\)
\(702\) 1.89473 + 2.11896i 0.0715118 + 0.0799748i
\(703\) 3.17446 1.44973i 0.119727 0.0546774i
\(704\) 17.7817 7.08465i 0.670172 0.267013i
\(705\) 4.23300 + 2.72038i 0.159424 + 0.102456i
\(706\) −6.30508 + 0.0983127i −0.237295 + 0.00370005i
\(707\) 0.179679i 0.00675751i
\(708\) −3.36857 + 5.61943i −0.126599 + 0.211191i
\(709\) −21.9021 + 6.43104i −0.822552 + 0.241523i −0.665814 0.746117i \(-0.731916\pi\)
−0.156737 + 0.987640i \(0.550098\pi\)
\(710\) 18.3290 + 2.34425i 0.687874 + 0.0879783i
\(711\) −10.1402 + 11.7024i −0.380286 + 0.438873i
\(712\) −18.3692 + 9.45078i −0.688414 + 0.354183i
\(713\) −5.11409 4.43138i −0.191524 0.165956i
\(714\) 5.20803 + 16.7654i 0.194906 + 0.627430i
\(715\) 7.20186 + 4.62835i 0.269334 + 0.173091i
\(716\) −16.3463 + 38.9647i −0.610889 + 1.45618i
\(717\) 8.80533 5.65884i 0.328841 0.211333i
\(718\) −3.56838 22.3402i −0.133171 0.833729i
\(719\) 11.7246 10.1594i 0.437252 0.378881i −0.408235 0.912877i \(-0.633856\pi\)
0.845487 + 0.533996i \(0.179310\pi\)
\(720\) −1.57637 + 6.94384i −0.0587480 + 0.258782i
\(721\) 4.79067 + 0.688794i 0.178414 + 0.0256520i
\(722\) 25.0163 3.99582i 0.931008 0.148709i
\(723\) 12.2205 + 14.1033i 0.454487 + 0.524506i
\(724\) −8.34424 9.04392i −0.310111 0.336115i
\(725\) −7.40219 2.17348i −0.274910 0.0807210i
\(726\) −6.83373 2.99299i −0.253623 0.111080i
\(727\) −22.8280 14.6706i −0.846643 0.544104i 0.0438834 0.999037i \(-0.486027\pi\)
−0.890526 + 0.454933i \(0.849663\pi\)
\(728\) −10.6244 + 3.66730i −0.393765 + 0.135919i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −7.85136 + 9.35166i −0.290592 + 0.346121i
\(731\) −8.16119 56.7623i −0.301852 2.09943i
\(732\) 3.29984 + 2.68386i 0.121966 + 0.0991982i
\(733\) −24.4278 + 21.1668i −0.902261 + 0.781814i −0.976520 0.215425i \(-0.930886\pi\)
0.0742590 + 0.997239i \(0.476341\pi\)
\(734\) 10.5232 + 33.8758i 0.388419 + 1.25038i
\(735\) 5.00576 + 2.28606i 0.184640 + 0.0843224i
\(736\) 2.12725 + 9.47914i 0.0784114 + 0.349406i
\(737\) 14.0603 13.6331i 0.517918 0.502183i
\(738\) −10.3223 2.85686i −0.379968 0.105163i
\(739\) 12.3234 26.9844i 0.453323 0.992639i −0.535636 0.844449i \(-0.679928\pi\)
0.988959 0.148190i \(-0.0473446\pi\)
\(740\) −0.371615 11.9135i −0.0136608 0.437948i
\(741\) 1.37206 + 1.58345i 0.0504041 + 0.0581694i
\(742\) −14.2895 + 32.6264i −0.524584 + 1.19775i
\(743\) 21.7103 3.12146i 0.796472 0.114515i 0.267948 0.963433i \(-0.413655\pi\)
0.528524 + 0.848918i \(0.322746\pi\)
\(744\) 3.63641 + 10.5348i 0.133317 + 0.386226i
\(745\) 0.599774 + 2.04264i 0.0219740 + 0.0748366i
\(746\) −0.0189635 + 0.0225872i −0.000694304 + 0.000826977i
\(747\) −3.69593 + 5.75099i −0.135227 + 0.210418i
\(748\) −18.9589 + 23.3102i −0.693206 + 0.852307i
\(749\) −2.70388 + 9.20856i −0.0987975 + 0.336473i
\(750\) 14.6105 + 9.07087i 0.533499 + 0.331221i
\(751\) −18.4728 + 16.0068i −0.674084 + 0.584097i −0.923174 0.384383i \(-0.874414\pi\)
0.249090 + 0.968480i \(0.419869\pi\)
\(752\) −8.98976 6.85725i −0.327823 0.250058i
\(753\) −1.47994 + 10.2932i −0.0539319 + 0.375105i
\(754\) −9.97250 + 6.63088i −0.363177 + 0.241482i
\(755\) 13.0781 + 15.0929i 0.475960 + 0.549288i
\(756\) 0.440423 3.92944i 0.0160180 0.142912i
\(757\) −13.0840 20.3591i −0.475546 0.739964i 0.517754 0.855530i \(-0.326768\pi\)
−0.993300 + 0.115566i \(0.963132\pi\)
\(758\) 20.4898 + 2.62063i 0.744224 + 0.0951855i
\(759\) −2.22151 + 3.45673i −0.0806356 + 0.125471i
\(760\) −1.24159 + 5.09951i −0.0450371 + 0.184979i
\(761\) −8.40335 + 9.69798i −0.304621 + 0.351552i −0.887335 0.461126i \(-0.847446\pi\)
0.582713 + 0.812678i \(0.301991\pi\)
\(762\) −8.79692 5.46154i −0.318679 0.197851i
\(763\) 5.87816 + 5.09345i 0.212804 + 0.184395i
\(764\) 7.52143 17.9288i 0.272116 0.648642i
\(765\) −3.14906 10.7247i −0.113854 0.387753i
\(766\) 10.0732 36.3961i 0.363961 1.31505i
\(767\) 6.58440 0.237749
\(768\) 4.78436 15.2679i 0.172641 0.550934i
\(769\) 14.3924 22.3951i 0.519005 0.807587i −0.478507 0.878083i \(-0.658822\pi\)
0.997512 + 0.0704966i \(0.0224584\pi\)
\(770\) −1.87831 11.7594i −0.0676897 0.423778i
\(771\) −4.93995 10.8170i −0.177908 0.389564i
\(772\) −17.2523 34.8582i −0.620924 1.25457i
\(773\) −22.6553 + 6.65220i −0.814855 + 0.239263i −0.662499 0.749063i \(-0.730504\pi\)
−0.152356 + 0.988326i \(0.548686\pi\)
\(774\) −3.44519 + 12.4480i −0.123835 + 0.447434i
\(775\) 7.21516 0.259176
\(776\) −1.48430 0.858597i −0.0532833 0.0308218i
\(777\) 0.941954 + 6.55143i 0.0337924 + 0.235031i
\(778\) 29.5813 + 44.4887i 1.06054 + 1.59500i
\(779\) −7.57470 2.22413i −0.271392 0.0796879i
\(780\) 6.79996 2.22918i 0.243478 0.0798173i
\(781\) −9.49464 14.7740i −0.339745 0.528654i
\(782\) −10.1651 11.3681i −0.363503 0.406522i
\(783\) −0.599583 4.17019i −0.0214274 0.149031i
\(784\) −10.7990 6.02397i −0.385678 0.215142i
\(785\) 1.25704 0.574071i 0.0448657 0.0204895i
\(786\) −6.49520 13.6550i −0.231676 0.487058i
\(787\) −0.968425 + 1.11762i −0.0345206 + 0.0398389i −0.772747 0.634714i \(-0.781118\pi\)
0.738227 + 0.674553i \(0.235663\pi\)
\(788\) 5.11419 + 4.15952i 0.182185 + 0.148177i
\(789\) −0.251553 + 0.114880i −0.00895551 + 0.00408985i
\(790\) 16.7445 + 35.2024i 0.595744 + 1.25245i
\(791\) −0.877792 + 2.98948i −0.0312107 + 0.106294i
\(792\) 6.01765 3.09603i 0.213828 0.110013i
\(793\) 0.608350 4.23117i 0.0216031 0.150253i
\(794\) −11.0252 + 9.85848i −0.391269 + 0.349865i
\(795\) 9.42068 20.6284i 0.334117 0.731615i
\(796\) 9.79742 37.6749i 0.347260 1.33535i
\(797\) 13.6814 29.9581i 0.484621 1.06117i −0.496546 0.868010i \(-0.665399\pi\)
0.981167 0.193161i \(-0.0618740\pi\)
\(798\) 0.369748 2.89094i 0.0130890 0.102338i
\(799\) 17.5678 + 2.52587i 0.621505 + 0.0893589i
\(800\) −8.33288 6.15307i −0.294612 0.217544i
\(801\) −6.14420 + 3.94864i −0.217095 + 0.139518i
\(802\) 0.549289 0.654251i 0.0193961 0.0231024i
\(803\) 11.6050 0.409530
\(804\) −1.42505 16.3086i −0.0502576 0.575159i
\(805\) 6.04404 0.213024
\(806\) 7.20181 8.57798i 0.253673 0.302146i
\(807\) 15.0488 9.67127i 0.529743 0.340445i
\(808\) 0.0246462 0.255873i 0.000867049 0.00900158i
\(809\) 27.5118 + 3.95560i 0.967264 + 0.139072i 0.607803 0.794088i \(-0.292051\pi\)
0.359462 + 0.933160i \(0.382960\pi\)
\(810\) −0.319382 + 2.49715i −0.0112219 + 0.0877407i
\(811\) 0.162705 0.356275i 0.00571335 0.0125105i −0.906754 0.421660i \(-0.861447\pi\)
0.912467 + 0.409150i \(0.134175\pi\)
\(812\) 16.1225 + 4.19267i 0.565787 + 0.147134i
\(813\) −3.09573 + 6.77871i −0.108572 + 0.237740i
\(814\) −8.44454 + 7.55093i −0.295981 + 0.264660i
\(815\) −2.46328 + 17.1325i −0.0862848 + 0.600124i
\(816\) 5.11687 + 24.5893i 0.179126 + 0.860798i
\(817\) −2.68216 + 9.13460i −0.0938369 + 0.319579i
\(818\) −22.0316 46.3175i −0.770316 1.61945i
\(819\) −3.61466 + 1.65076i −0.126306 + 0.0576822i
\(820\) −17.0132 + 20.9180i −0.594126 + 0.730487i
\(821\) 10.3502 11.9448i 0.361226 0.416877i −0.545824 0.837900i \(-0.683783\pi\)
0.907050 + 0.421023i \(0.138329\pi\)
\(822\) −13.6979 28.7974i −0.477769 1.00442i
\(823\) 47.9763 21.9101i 1.67235 0.763736i 0.672632 0.739977i \(-0.265164\pi\)
0.999718 0.0237589i \(-0.00756341\pi\)
\(824\) 6.72771 + 1.63801i 0.234371 + 0.0570628i
\(825\) −0.623513 4.33663i −0.0217079 0.150982i
\(826\) −6.10513 6.82764i −0.212425 0.237564i
\(827\) 6.11022 + 9.50769i 0.212473 + 0.330615i 0.931089 0.364793i \(-0.118860\pi\)
−0.718616 + 0.695408i \(0.755224\pi\)
\(828\) 1.06996 + 3.26383i 0.0371835 + 0.113426i
\(829\) 42.3325 + 12.4299i 1.47027 + 0.431710i 0.916187 0.400752i \(-0.131251\pi\)
0.554082 + 0.832462i \(0.313069\pi\)
\(830\) 9.52906 + 14.3312i 0.330758 + 0.497443i
\(831\) 0.0383590 + 0.266793i 0.00133066 + 0.00925494i
\(832\) −15.6327 + 3.76513i −0.541968 + 0.130532i
\(833\) 19.4108 0.672545
\(834\) −0.529666 + 1.91376i −0.0183408 + 0.0662682i
\(835\) 34.1430 10.0253i 1.18157 0.346939i
\(836\) 4.47060 2.21262i 0.154619 0.0765251i
\(837\) 1.63685 + 3.58420i 0.0565778 + 0.123888i
\(838\) 8.46884 + 53.0200i 0.292551 + 1.83155i
\(839\) 2.69043 4.18639i 0.0928840 0.144530i −0.791702 0.610908i \(-0.790805\pi\)
0.884586 + 0.466377i \(0.154441\pi\)
\(840\) −8.61653 4.98425i −0.297298 0.171973i
\(841\) −11.2500 −0.387931
\(842\) −1.90623 + 6.88750i −0.0656931 + 0.237359i
\(843\) 6.94070 + 23.6379i 0.239051 + 0.814131i
\(844\) −26.3415 11.0507i −0.906711 0.380380i
\(845\) 12.0542 + 10.4450i 0.414678 + 0.359320i
\(846\) −3.39616 2.10850i −0.116763 0.0724917i
\(847\) 6.82981 7.88203i 0.234675 0.270830i
\(848\) −24.8244 + 44.5019i −0.852473 + 1.52820i
\(849\) 4.63690 7.21515i 0.159138 0.247623i
\(850\) 16.1288 + 2.06286i 0.553214 + 0.0707554i
\(851\) −3.10842 4.83679i −0.106555 0.165803i
\(852\) −14.5886 1.63513i −0.499797 0.0560186i
\(853\) −10.6212 12.2575i −0.363662 0.419688i 0.544201 0.838955i \(-0.316833\pi\)
−0.907863 + 0.419266i \(0.862287\pi\)
\(854\) −4.95154 + 3.29236i −0.169438 + 0.112662i
\(855\) −0.264082 + 1.83673i −0.00903141 + 0.0628148i
\(856\) −5.11360 + 12.7426i −0.174779 + 0.435534i
\(857\) 20.3404 17.6251i 0.694816 0.602062i −0.234161 0.972198i \(-0.575234\pi\)
0.928978 + 0.370136i \(0.120689\pi\)
\(858\) −5.77810 3.58731i −0.197261 0.122469i
\(859\) 2.61289 8.89867i 0.0891505 0.303619i −0.902832 0.429993i \(-0.858516\pi\)
0.991983 + 0.126375i \(0.0403341\pi\)
\(860\) 25.2257 + 20.5168i 0.860189 + 0.699617i
\(861\) 8.09484 12.5958i 0.275871 0.429264i
\(862\) 12.2697 14.6143i 0.417909 0.497766i
\(863\) 11.8469 + 40.3469i 0.403274 + 1.37342i 0.871751 + 0.489949i \(0.162985\pi\)
−0.468477 + 0.883475i \(0.655197\pi\)
\(864\) 1.16618 5.53534i 0.0396743 0.188316i
\(865\) −37.3577 + 5.37122i −1.27020 + 0.182627i
\(866\) 1.80850 4.12924i 0.0614553 0.140317i
\(867\) −14.6859 16.9485i −0.498761 0.575600i
\(868\) −15.5725 + 0.485749i −0.528564 + 0.0164874i
\(869\) 15.3905 33.7006i 0.522088 1.14321i
\(870\) −10.2221 2.82913i −0.346561 0.0959166i
\(871\) −13.3212 + 9.65520i −0.451373 + 0.327154i
\(872\) 7.67218 + 8.05967i 0.259813 + 0.272935i
\(873\) −0.551467 0.251846i −0.0186643 0.00852371i
\(874\) 0.751051 + 2.41774i 0.0254047 + 0.0817814i
\(875\) −18.1691 + 15.7436i −0.614229 + 0.532232i
\(876\) 6.12087 7.52571i 0.206805 0.254270i
\(877\) 1.74694 + 12.1503i 0.0589901 + 0.410285i 0.997825 + 0.0659179i \(0.0209975\pi\)
−0.938835 + 0.344368i \(0.888093\pi\)
\(878\) −9.06877 + 10.8017i −0.306056 + 0.364540i
\(879\) −25.2052 + 7.40090i −0.850149 + 0.249626i
\(880\) −1.06182 17.0037i −0.0357939 0.573194i
\(881\) 23.4193 + 15.0506i 0.789015 + 0.507069i 0.872014 0.489480i \(-0.162814\pi\)
−0.0829993 + 0.996550i \(0.526450\pi\)
\(882\) −4.00463 1.75392i −0.134843 0.0590575i
\(883\) −27.1509 7.97222i −0.913700 0.268287i −0.209103 0.977894i \(-0.567054\pi\)
−0.704597 + 0.709607i \(0.748872\pi\)
\(884\) 18.5515 17.1162i 0.623953 0.575681i
\(885\) 3.81881 + 4.40714i 0.128368 + 0.148144i
\(886\) 26.6815 4.26180i 0.896381 0.143178i
\(887\) −52.2714 7.51549i −1.75510 0.252345i −0.811717 0.584050i \(-0.801467\pi\)
−0.943383 + 0.331705i \(0.892376\pi\)
\(888\) 0.442751 + 9.45883i 0.0148577 + 0.317418i
\(889\) 10.9396 9.47921i 0.366902 0.317922i
\(890\) 2.90014 + 18.1566i 0.0972129 + 0.608612i
\(891\) 2.01281 1.29355i 0.0674317 0.0433357i
\(892\) −41.5040 17.4116i −1.38966 0.582983i
\(893\) −2.47875 1.59299i −0.0829481 0.0533075i
\(894\) −0.501728 1.61514i −0.0167803 0.0540182i
\(895\) 28.4232 + 24.6289i 0.950084 + 0.823252i
\(896\) 18.3991 + 12.7192i 0.614670 + 0.424918i
\(897\) 2.26049 2.60874i 0.0754754 0.0871033i
\(898\) −48.9290 6.25797i −1.63278 0.208831i
\(899\) −15.9282 + 4.67695i −0.531237 + 0.155985i
\(900\) −3.14112 1.88295i −0.104704 0.0627650i
\(901\) 79.9907i 2.66488i
\(902\) 25.6228 0.399526i 0.853144 0.0133028i
\(903\) −15.1897 9.76185i −0.505483 0.324854i
\(904\) −1.66009 + 4.13680i −0.0552137 + 0.137588i
\(905\) −9.96272 + 4.54982i −0.331172 + 0.151241i
\(906\) −10.5755 11.8270i −0.351347 0.392926i
\(907\) −10.0033 34.0680i −0.332153 1.13121i −0.941136 0.338027i \(-0.890241\pi\)
0.608983 0.793183i \(-0.291578\pi\)
\(908\) 10.9629 18.2882i 0.363816 0.606915i
\(909\) 0.0908835i 0.00301441i
\(910\) 0.155968 + 10.0027i 0.00517028 + 0.331585i
\(911\) −22.1249 + 3.18109i −0.733032 + 0.105394i −0.498715 0.866766i \(-0.666194\pi\)
−0.234317 + 0.972160i \(0.575285\pi\)
\(912\) 0.923088 4.06615i 0.0305665 0.134644i
\(913\) 4.60817 15.6940i 0.152508 0.519395i
\(914\) −10.0305 15.0853i −0.331779 0.498978i
\(915\) 3.18488 2.04680i 0.105289 0.0676650i
\(916\) 7.82642 3.87351i 0.258592 0.127984i
\(917\) 20.9236 3.00836i 0.690957 0.0993447i
\(918\) 2.63428 + 8.48013i 0.0869442 + 0.279886i
\(919\) −21.4935 47.0641i −0.709004 1.55250i −0.828701 0.559692i \(-0.810919\pi\)
0.119697 0.992811i \(-0.461808\pi\)
\(920\) 8.60706 + 0.829048i 0.283766 + 0.0273329i
\(921\) 12.7725 + 11.0674i 0.420867 + 0.364684i
\(922\) 27.2949 + 11.9545i 0.898911 + 0.393699i
\(923\) 6.12866 + 13.4199i 0.201727 + 0.441721i
\(924\) 1.63768 + 9.31775i 0.0538758 + 0.306532i
\(925\) 5.88205 + 1.72713i 0.193401 + 0.0567875i
\(926\) −22.6315 + 36.4526i −0.743716 + 1.19791i
\(927\) 2.42317 + 0.348400i 0.0795874 + 0.0114429i
\(928\) 22.3842 + 8.18210i 0.734798 + 0.268591i
\(929\) 0.828674 + 0.378443i 0.0271879 + 0.0124163i 0.428963 0.903322i \(-0.358879\pi\)
−0.401775 + 0.915739i \(0.631606\pi\)
\(930\) 9.91839 0.154654i 0.325237 0.00507129i
\(931\) −2.93126 1.33866i −0.0960681 0.0438729i
\(932\) −43.3148 18.1712i −1.41882 0.595219i
\(933\) 1.60281 11.1478i 0.0524736 0.364962i
\(934\) 4.69277 + 9.86571i 0.153552 + 0.322816i
\(935\) 14.4587 + 22.4981i 0.472849 + 0.735768i
\(936\) −5.37391 + 1.85496i −0.175652 + 0.0606313i
\(937\) 41.0584i 1.34132i 0.741765 + 0.670660i \(0.233989\pi\)
−0.741765 + 0.670660i \(0.766011\pi\)
\(938\) 22.3635 + 4.86095i 0.730194 + 0.158716i
\(939\) 20.9026i 0.682132i
\(940\) −8.29226 + 5.70207i −0.270464 + 0.185981i
\(941\) −5.05479 7.86541i −0.164782 0.256405i 0.749037 0.662529i \(-0.230517\pi\)
−0.913818 + 0.406123i \(0.866880\pi\)
\(942\) −0.991415 + 0.471581i −0.0323020 + 0.0153649i
\(943\) −1.85098 + 12.8738i −0.0602761 + 0.419230i
\(944\) −7.75753 10.5604i −0.252486 0.343711i
\(945\) −3.20132 1.46200i −0.104139 0.0475587i
\(946\) −0.481802 30.8994i −0.0156647 1.00463i
\(947\) −34.3523 15.6882i −1.11630 0.509797i −0.230132 0.973160i \(-0.573916\pi\)
−0.886169 + 0.463362i \(0.846643\pi\)
\(948\) −13.7370 27.7555i −0.446156 0.901457i
\(949\) −9.64971 1.38742i −0.313243 0.0450375i
\(950\) −2.29337 1.42383i −0.0744068 0.0461953i
\(951\) −5.07230 1.48936i −0.164480 0.0482958i
\(952\) −34.9497 3.36642i −1.13272 0.109106i
\(953\) 10.6528 + 23.3263i 0.345078 + 0.755614i 1.00000 8.17216e-5i \(-2.60128e-5\pi\)
−0.654922 + 0.755696i \(0.727299\pi\)
\(954\) −7.22778 + 16.5028i −0.234008 + 0.534298i
\(955\) −13.0784 11.3325i −0.423207 0.366711i
\(956\) 3.62377 + 20.6178i 0.117201 + 0.666827i
\(957\) 4.18752 + 9.16940i 0.135363 + 0.296405i
\(958\) −21.5041 + 6.68005i −0.694765 + 0.215823i
\(959\) 44.1263 6.34440i 1.42491 0.204871i
\(960\) −11.5868 8.27977i −0.373961 0.267228i
\(961\) −13.0177 + 8.36599i −0.419927 + 0.269871i
\(962\) 7.92451 5.26914i 0.255496 0.169884i
\(963\) −1.36765 + 4.65779i −0.0440719 + 0.150095i
\(964\) −35.4655 + 11.6264i −1.14227 + 0.374460i
\(965\) −34.2658 + 4.92667i −1.10305 + 0.158595i
\(966\) −4.80106 + 0.0748611i −0.154472 + 0.00240862i
\(967\) 12.2859i 0.395089i −0.980294 0.197545i \(-0.936703\pi\)
0.980294 0.197545i \(-0.0632967\pi\)
\(968\) 10.8072 10.2876i 0.347357 0.330657i
\(969\) 1.84402 + 6.28014i 0.0592383 + 0.201747i
\(970\) −1.13773 + 1.01733i −0.0365302 + 0.0326645i
\(971\) −17.8769 + 8.16409i −0.573696 + 0.261998i −0.681067 0.732221i \(-0.738484\pi\)
0.107371 + 0.994219i \(0.465757\pi\)
\(972\) 0.222771 1.98755i 0.00714537 0.0637508i
\(973\) −2.33528 1.50079i −0.0748656 0.0481132i
\(974\) 0.835963 + 53.6127i 0.0267860 + 1.71786i
\(975\) 3.68052i 0.117871i
\(976\) −7.50290 + 4.00933i −0.240162 + 0.128335i
\(977\) 46.6364 13.6937i 1.49203 0.438100i 0.568843 0.822446i \(-0.307391\pi\)
0.923189 + 0.384346i \(0.125573\pi\)
\(978\) 1.74449 13.6396i 0.0557828 0.436147i
\(979\) 11.4436 13.2066i 0.365740 0.422086i
\(980\) −8.08912 + 7.46331i −0.258398 + 0.238407i
\(981\) 2.97324 + 2.57632i 0.0949281 + 0.0822557i
\(982\) −33.2326 + 10.3234i −1.06050 + 0.329434i
\(983\) −26.6462 17.1245i −0.849881 0.546186i 0.0416564 0.999132i \(-0.486737\pi\)
−0.891538 + 0.452946i \(0.850373\pi\)
\(984\) 13.2553 16.8268i 0.422563 0.536420i
\(985\) 4.93601 3.17218i 0.157274 0.101074i
\(986\) −36.9433 + 5.90091i −1.17651 + 0.187923i
\(987\) 4.22337 3.65957i 0.134431 0.116485i
\(988\) −3.98190 + 1.30535i −0.126681 + 0.0415288i
\(989\) 15.5250 + 2.23216i 0.493666 + 0.0709785i
\(990\) −0.950071 5.94802i −0.0301952 0.189040i
\(991\) −35.4666 40.9307i −1.12663 1.30021i −0.948705 0.316162i \(-0.897606\pi\)
−0.177929 0.984043i \(-0.556940\pi\)
\(992\) −22.2427 1.44431i −0.706208 0.0458568i
\(993\) 20.1375 + 5.91290i 0.639044 + 0.187640i
\(994\) 8.23309 18.7982i 0.261138 0.596241i
\(995\) −29.1481 18.7324i −0.924058 0.593856i
\(996\) −7.74688 11.2659i −0.245469 0.356974i
\(997\) 24.5611 7.21178i 0.777857 0.228399i 0.131379 0.991332i \(-0.458059\pi\)
0.646478 + 0.762933i \(0.276241\pi\)
\(998\) −42.3506 35.5563i −1.34059 1.12551i
\(999\) 0.476451 + 3.31379i 0.0150742 + 0.104844i
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 804.2.u.a.43.7 340
4.3 odd 2 804.2.u.b.43.3 yes 340
67.53 odd 22 804.2.u.b.187.3 yes 340
268.187 even 22 inner 804.2.u.a.187.7 yes 340
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
804.2.u.a.43.7 340 1.1 even 1 trivial
804.2.u.a.187.7 yes 340 268.187 even 22 inner
804.2.u.b.43.3 yes 340 4.3 odd 2
804.2.u.b.187.3 yes 340 67.53 odd 22