Properties

Label 672.2.cf.a.619.17
Level $672$
Weight $2$
Character 672.619
Analytic conductor $5.366$
Analytic rank $0$
Dimension $512$
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] = [672,2,Mod(19,672)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(672, base_ring=CyclotomicField(24))
 
chi = DirichletCharacter(H, H._module([12, 21, 0, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("672.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 672.cf (of order \(24\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.36594701583\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(64\) over \(\Q(\zeta_{24})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label 619.17
Character \(\chi\) \(=\) 672.619
Dual form 672.2.cf.a.355.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.888289 + 1.10043i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-0.421886 - 1.95500i) q^{4} +(0.0995259 + 0.755974i) q^{5} +(0.975069 + 1.02432i) q^{6} +(-0.0601885 + 2.64507i) q^{7} +(2.52609 + 1.27235i) q^{8} +(-0.965926 - 0.258819i) q^{9} +O(q^{10})\) \(q+(-0.888289 + 1.10043i) q^{2} +(0.130526 - 0.991445i) q^{3} +(-0.421886 - 1.95500i) q^{4} +(0.0995259 + 0.755974i) q^{5} +(0.975069 + 1.02432i) q^{6} +(-0.0601885 + 2.64507i) q^{7} +(2.52609 + 1.27235i) q^{8} +(-0.965926 - 0.258819i) q^{9} +(-0.920303 - 0.562002i) q^{10} +(-2.89434 - 3.77198i) q^{11} +(-1.99334 + 0.163099i) q^{12} +(-3.74004 + 1.54918i) q^{13} +(-2.85724 - 2.41582i) q^{14} +0.762497 q^{15} +(-3.64402 + 1.64957i) q^{16} +(-1.44072 + 2.49540i) q^{17} +(1.14283 - 0.833026i) q^{18} +(1.73131 - 2.25629i) q^{19} +(1.43594 - 0.513508i) q^{20} +(2.61458 + 0.404924i) q^{21} +(6.72181 + 0.165590i) q^{22} +(-2.27414 + 8.48720i) q^{23} +(1.59118 - 2.33841i) q^{24} +(4.26804 - 1.14362i) q^{25} +(1.61748 - 5.49176i) q^{26} +(-0.382683 + 0.923880i) q^{27} +(5.19649 - 0.998250i) q^{28} +(-8.57393 + 3.55144i) q^{29} +(-0.677318 + 0.839074i) q^{30} +(3.21627 - 5.57074i) q^{31} +(1.42171 - 5.47529i) q^{32} +(-4.11750 + 2.37724i) q^{33} +(-1.46623 - 3.80204i) q^{34} +(-2.00559 + 0.217752i) q^{35} +(-0.0984793 + 1.99757i) q^{36} +(-4.02600 + 0.530033i) q^{37} +(0.944982 + 3.90943i) q^{38} +(1.04775 + 3.91025i) q^{39} +(-0.710449 + 2.03629i) q^{40} +(1.76015 + 1.76015i) q^{41} +(-2.76809 + 2.51747i) q^{42} +(-0.836412 + 2.01928i) q^{43} +(-6.15313 + 7.24978i) q^{44} +(0.0995259 - 0.755974i) q^{45} +(-7.31947 - 10.0416i) q^{46} +(-11.5358 + 6.66019i) q^{47} +(1.15982 + 3.82816i) q^{48} +(-6.99275 - 0.318405i) q^{49} +(-2.53278 + 5.71253i) q^{50} +(2.28600 + 1.75411i) q^{51} +(4.60651 + 6.65819i) q^{52} +(-7.68917 + 5.90011i) q^{53} +(-0.676730 - 1.24179i) q^{54} +(2.56346 - 2.56346i) q^{55} +(-3.51748 + 6.60510i) q^{56} +(-2.01101 - 2.01101i) q^{57} +(3.70802 - 12.5897i) q^{58} +(-5.53749 - 7.21660i) q^{59} +(-0.321687 - 1.49068i) q^{60} +(-0.108491 + 0.141389i) q^{61} +(3.27323 + 8.48770i) q^{62} +(0.742731 - 2.53936i) q^{63} +(4.76227 + 6.42812i) q^{64} +(-1.54337 - 2.67319i) q^{65} +(1.04155 - 6.64269i) q^{66} +(5.93704 + 0.781626i) q^{67} +(5.48632 + 1.76383i) q^{68} +(8.11776 + 3.36248i) q^{69} +(1.54192 - 2.40044i) q^{70} +(8.88661 - 8.88661i) q^{71} +(-2.11071 - 1.88279i) q^{72} +(-14.8633 + 3.98260i) q^{73} +(2.99299 - 4.90115i) q^{74} +(-0.576743 - 4.38080i) q^{75} +(-5.14146 - 2.43281i) q^{76} +(10.1514 - 7.42870i) q^{77} +(-5.23366 - 2.32046i) q^{78} +(3.57249 + 6.18773i) q^{79} +(-1.60971 - 2.59061i) q^{80} +(0.866025 + 0.500000i) q^{81} +(-3.50044 + 0.373398i) q^{82} +(0.00841387 + 0.0203129i) q^{83} +(-0.311431 - 5.28233i) q^{84} +(-2.02985 - 0.840790i) q^{85} +(-1.47909 - 2.71411i) q^{86} +(2.40193 + 8.96413i) q^{87} +(-2.51211 - 13.2110i) q^{88} +(4.32013 + 1.15758i) q^{89} +(0.743488 + 0.781044i) q^{90} +(-3.87257 - 9.98590i) q^{91} +(17.5519 + 0.865298i) q^{92} +(-5.10327 - 3.91588i) q^{93} +(2.91804 - 18.6105i) q^{94} +(1.87801 + 1.08427i) q^{95} +(-5.24287 - 2.12421i) q^{96} +13.8124i q^{97} +(6.56197 - 7.41219i) q^{98} +(1.81946 + 4.39257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q + 64 q^{14} + 8 q^{16} - 8 q^{18} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(421\) \(449\) \(577\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.888289 + 1.10043i −0.628115 + 0.778121i
\(3\) 0.130526 0.991445i 0.0753593 0.572411i
\(4\) −0.421886 1.95500i −0.210943 0.977498i
\(5\) 0.0995259 + 0.755974i 0.0445093 + 0.338082i 0.999183 + 0.0404259i \(0.0128715\pi\)
−0.954673 + 0.297656i \(0.903795\pi\)
\(6\) 0.975069 + 1.02432i 0.398070 + 0.418179i
\(7\) −0.0601885 + 2.64507i −0.0227491 + 0.999741i
\(8\) 2.52609 + 1.27235i 0.893108 + 0.449842i
\(9\) −0.965926 0.258819i −0.321975 0.0862730i
\(10\) −0.920303 0.562002i −0.291025 0.177721i
\(11\) −2.89434 3.77198i −0.872678 1.13730i −0.989556 0.144149i \(-0.953955\pi\)
0.116878 0.993146i \(-0.462711\pi\)
\(12\) −1.99334 + 0.163099i −0.575427 + 0.0470826i
\(13\) −3.74004 + 1.54918i −1.03730 + 0.429664i −0.835342 0.549730i \(-0.814731\pi\)
−0.201959 + 0.979394i \(0.564731\pi\)
\(14\) −2.85724 2.41582i −0.763630 0.645654i
\(15\) 0.762497 0.196876
\(16\) −3.64402 + 1.64957i −0.911006 + 0.412393i
\(17\) −1.44072 + 2.49540i −0.349426 + 0.605223i −0.986148 0.165870i \(-0.946957\pi\)
0.636722 + 0.771094i \(0.280290\pi\)
\(18\) 1.14283 0.833026i 0.269368 0.196346i
\(19\) 1.73131 2.25629i 0.397191 0.517629i −0.551354 0.834271i \(-0.685889\pi\)
0.948545 + 0.316642i \(0.102555\pi\)
\(20\) 1.43594 0.513508i 0.321085 0.114824i
\(21\) 2.61458 + 0.404924i 0.570548 + 0.0883617i
\(22\) 6.72181 + 0.165590i 1.43309 + 0.0353040i
\(23\) −2.27414 + 8.48720i −0.474191 + 1.76970i 0.150268 + 0.988645i \(0.451986\pi\)
−0.624458 + 0.781058i \(0.714680\pi\)
\(24\) 1.59118 2.33841i 0.324799 0.477325i
\(25\) 4.26804 1.14362i 0.853608 0.228723i
\(26\) 1.61748 5.49176i 0.317214 1.07702i
\(27\) −0.382683 + 0.923880i −0.0736475 + 0.177801i
\(28\) 5.19649 0.998250i 0.982044 0.188651i
\(29\) −8.57393 + 3.55144i −1.59214 + 0.659485i −0.990276 0.139115i \(-0.955574\pi\)
−0.601862 + 0.798600i \(0.705574\pi\)
\(30\) −0.677318 + 0.839074i −0.123661 + 0.153193i
\(31\) 3.21627 5.57074i 0.577659 1.00053i −0.418089 0.908406i \(-0.637300\pi\)
0.995747 0.0921279i \(-0.0293668\pi\)
\(32\) 1.42171 5.47529i 0.251325 0.967903i
\(33\) −4.11750 + 2.37724i −0.716765 + 0.413824i
\(34\) −1.46623 3.80204i −0.251457 0.652045i
\(35\) −2.00559 + 0.217752i −0.339007 + 0.0368067i
\(36\) −0.0984793 + 1.99757i −0.0164132 + 0.332929i
\(37\) −4.02600 + 0.530033i −0.661870 + 0.0871369i −0.453975 0.891014i \(-0.649995\pi\)
−0.207895 + 0.978151i \(0.566661\pi\)
\(38\) 0.944982 + 3.90943i 0.153296 + 0.634193i
\(39\) 1.04775 + 3.91025i 0.167774 + 0.626142i
\(40\) −0.710449 + 2.03629i −0.112332 + 0.321966i
\(41\) 1.76015 + 1.76015i 0.274889 + 0.274889i 0.831065 0.556176i \(-0.187732\pi\)
−0.556176 + 0.831065i \(0.687732\pi\)
\(42\) −2.76809 + 2.51747i −0.427126 + 0.388454i
\(43\) −0.836412 + 2.01928i −0.127552 + 0.307937i −0.974735 0.223363i \(-0.928296\pi\)
0.847184 + 0.531300i \(0.178296\pi\)
\(44\) −6.15313 + 7.24978i −0.927619 + 1.09295i
\(45\) 0.0995259 0.755974i 0.0148364 0.112694i
\(46\) −7.31947 10.0416i −1.07920 1.48055i
\(47\) −11.5358 + 6.66019i −1.68267 + 0.971488i −0.722788 + 0.691069i \(0.757140\pi\)
−0.959878 + 0.280419i \(0.909527\pi\)
\(48\) 1.15982 + 3.82816i 0.167406 + 0.552547i
\(49\) −6.99275 0.318405i −0.998965 0.0454864i
\(50\) −2.53278 + 5.71253i −0.358189 + 0.807874i
\(51\) 2.28600 + 1.75411i 0.320104 + 0.245624i
\(52\) 4.60651 + 6.65819i 0.638808 + 0.923325i
\(53\) −7.68917 + 5.90011i −1.05619 + 0.810442i −0.982392 0.186831i \(-0.940178\pi\)
−0.0737970 + 0.997273i \(0.523512\pi\)
\(54\) −0.676730 1.24179i −0.0920913 0.168986i
\(55\) 2.56346 2.56346i 0.345657 0.345657i
\(56\) −3.51748 + 6.60510i −0.470043 + 0.882644i
\(57\) −2.01101 2.01101i −0.266365 0.266365i
\(58\) 3.70802 12.5897i 0.486887 1.65311i
\(59\) −5.53749 7.21660i −0.720920 0.939521i 0.278863 0.960331i \(-0.410042\pi\)
−0.999783 + 0.0208094i \(0.993376\pi\)
\(60\) −0.321687 1.49068i −0.0415296 0.192446i
\(61\) −0.108491 + 0.141389i −0.0138909 + 0.0181030i −0.800247 0.599670i \(-0.795298\pi\)
0.786356 + 0.617773i \(0.211965\pi\)
\(62\) 3.27323 + 8.48770i 0.415700 + 1.07794i
\(63\) 0.742731 2.53936i 0.0935753 0.319929i
\(64\) 4.76227 + 6.42812i 0.595284 + 0.803515i
\(65\) −1.54337 2.67319i −0.191431 0.331569i
\(66\) 1.04155 6.64269i 0.128205 0.817659i
\(67\) 5.93704 + 0.781626i 0.725325 + 0.0954908i 0.484143 0.874989i \(-0.339132\pi\)
0.241182 + 0.970480i \(0.422465\pi\)
\(68\) 5.48632 + 1.76383i 0.665314 + 0.213895i
\(69\) 8.11776 + 3.36248i 0.977263 + 0.404796i
\(70\) 1.54192 2.40044i 0.184295 0.286907i
\(71\) 8.88661 8.88661i 1.05465 1.05465i 0.0562288 0.998418i \(-0.482092\pi\)
0.998418 0.0562288i \(-0.0179076\pi\)
\(72\) −2.11071 1.88279i −0.248750 0.221889i
\(73\) −14.8633 + 3.98260i −1.73961 + 0.466128i −0.982361 0.186993i \(-0.940126\pi\)
−0.757253 + 0.653121i \(0.773459\pi\)
\(74\) 2.99299 4.90115i 0.347928 0.569747i
\(75\) −0.576743 4.38080i −0.0665965 0.505851i
\(76\) −5.14146 2.43281i −0.589766 0.279063i
\(77\) 10.1514 7.42870i 1.15685 0.846579i
\(78\) −5.23366 2.32046i −0.592595 0.262740i
\(79\) 3.57249 + 6.18773i 0.401936 + 0.696174i 0.993960 0.109747i \(-0.0350040\pi\)
−0.592023 + 0.805921i \(0.701671\pi\)
\(80\) −1.60971 2.59061i −0.179971 0.289639i
\(81\) 0.866025 + 0.500000i 0.0962250 + 0.0555556i
\(82\) −3.50044 + 0.373398i −0.386559 + 0.0412349i
\(83\) 0.00841387 + 0.0203129i 0.000923542 + 0.00222963i 0.924341 0.381568i \(-0.124616\pi\)
−0.923417 + 0.383798i \(0.874616\pi\)
\(84\) −0.311431 5.28233i −0.0339800 0.576349i
\(85\) −2.02985 0.840790i −0.220168 0.0911964i
\(86\) −1.47909 2.71411i −0.159495 0.292670i
\(87\) 2.40193 + 8.96413i 0.257514 + 0.961056i
\(88\) −2.51211 13.2110i −0.267792 1.40829i
\(89\) 4.32013 + 1.15758i 0.457933 + 0.122703i 0.480409 0.877045i \(-0.340488\pi\)
−0.0224760 + 0.999747i \(0.507155\pi\)
\(90\) 0.743488 + 0.781044i 0.0783705 + 0.0823293i
\(91\) −3.87257 9.98590i −0.405955 1.04681i
\(92\) 17.5519 + 0.865298i 1.82991 + 0.0902135i
\(93\) −5.10327 3.91588i −0.529185 0.406058i
\(94\) 2.91804 18.6105i 0.300973 1.91952i
\(95\) 1.87801 + 1.08427i 0.192680 + 0.111244i
\(96\) −5.24287 2.12421i −0.535099 0.216802i
\(97\) 13.8124i 1.40243i 0.712949 + 0.701216i \(0.247359\pi\)
−0.712949 + 0.701216i \(0.752641\pi\)
\(98\) 6.56197 7.41219i 0.662859 0.748744i
\(99\) 1.81946 + 4.39257i 0.182863 + 0.441470i
\(100\) −4.03640 7.86152i −0.403640 0.786152i
\(101\) −9.18616 + 7.04879i −0.914057 + 0.701380i −0.954629 0.297796i \(-0.903748\pi\)
0.0405727 + 0.999177i \(0.487082\pi\)
\(102\) −3.96090 + 0.957424i −0.392187 + 0.0947991i
\(103\) 2.80466 10.4671i 0.276351 1.03136i −0.678579 0.734527i \(-0.737404\pi\)
0.954931 0.296829i \(-0.0959293\pi\)
\(104\) −11.4188 0.845265i −1.11970 0.0828850i
\(105\) −0.0458935 + 2.01686i −0.00447875 + 0.196825i
\(106\) 0.337555 13.7024i 0.0327863 1.33089i
\(107\) 8.09890 1.06624i 0.782950 0.103077i 0.271555 0.962423i \(-0.412462\pi\)
0.511395 + 0.859346i \(0.329129\pi\)
\(108\) 1.96763 + 0.358373i 0.189335 + 0.0344844i
\(109\) 15.4356 + 2.03214i 1.47847 + 0.194644i 0.826213 0.563357i \(-0.190491\pi\)
0.652253 + 0.758001i \(0.273824\pi\)
\(110\) 0.543812 + 5.09799i 0.0518504 + 0.486075i
\(111\) 4.06074i 0.385428i
\(112\) −4.14390 9.73797i −0.391562 0.920152i
\(113\) 13.7883i 1.29709i −0.761176 0.648546i \(-0.775378\pi\)
0.761176 0.648546i \(-0.224622\pi\)
\(114\) 3.99933 0.426615i 0.374571 0.0399562i
\(115\) −6.64244 0.874494i −0.619411 0.0815469i
\(116\) 10.5603 + 15.2637i 0.980496 + 1.41720i
\(117\) 4.01356 0.528395i 0.371054 0.0488501i
\(118\) 12.8602 + 0.316809i 1.18388 + 0.0291647i
\(119\) −6.51378 3.96099i −0.597118 0.363104i
\(120\) 1.92614 + 0.970160i 0.175832 + 0.0885631i
\(121\) −3.00362 + 11.2096i −0.273056 + 1.01906i
\(122\) −0.0592165 0.244981i −0.00536121 0.0221795i
\(123\) 1.97484 1.51535i 0.178065 0.136634i
\(124\) −12.2477 3.93757i −1.09987 0.353604i
\(125\) 2.74830 + 6.63498i 0.245815 + 0.593451i
\(126\) 2.13463 + 3.07301i 0.190168 + 0.273765i
\(127\) 2.07382i 0.184022i −0.995758 0.0920109i \(-0.970671\pi\)
0.995758 0.0920109i \(-0.0293295\pi\)
\(128\) −11.3040 0.469484i −0.999139 0.0414969i
\(129\) 1.89283 + 1.09282i 0.166654 + 0.0962178i
\(130\) 4.31261 + 0.676199i 0.378241 + 0.0593066i
\(131\) 5.51551 + 4.23220i 0.481892 + 0.369769i 0.820953 0.570995i \(-0.193443\pi\)
−0.339061 + 0.940764i \(0.610109\pi\)
\(132\) 6.38461 + 7.04677i 0.555709 + 0.613343i
\(133\) 5.86384 + 4.71524i 0.508459 + 0.408864i
\(134\) −6.13393 + 5.83898i −0.529891 + 0.504411i
\(135\) −0.736516 0.197349i −0.0633892 0.0169851i
\(136\) −6.81440 + 4.47051i −0.584330 + 0.383343i
\(137\) 1.01874 + 3.80200i 0.0870371 + 0.324827i 0.995692 0.0927207i \(-0.0295564\pi\)
−0.908655 + 0.417548i \(0.862890\pi\)
\(138\) −10.9111 + 5.94615i −0.928813 + 0.506170i
\(139\) −5.62772 2.33108i −0.477337 0.197720i 0.131025 0.991379i \(-0.458173\pi\)
−0.608362 + 0.793659i \(0.708173\pi\)
\(140\) 1.27184 + 3.82906i 0.107490 + 0.323615i
\(141\) 5.09749 + 12.3064i 0.429286 + 1.03639i
\(142\) 1.88521 + 17.6730i 0.158203 + 1.48308i
\(143\) 16.6684 + 9.62352i 1.39388 + 0.804760i
\(144\) 3.94680 0.650223i 0.328900 0.0541852i
\(145\) −3.53812 6.12820i −0.293825 0.508920i
\(146\) 8.82031 19.8937i 0.729974 1.64641i
\(147\) −1.22842 + 6.89137i −0.101318 + 0.568391i
\(148\) 2.73473 + 7.64720i 0.224793 + 0.628596i
\(149\) −1.41336 10.7356i −0.115787 0.879492i −0.946480 0.322762i \(-0.895389\pi\)
0.830693 0.556731i \(-0.187945\pi\)
\(150\) 5.33307 + 3.25675i 0.435443 + 0.265912i
\(151\) 13.5517 3.63116i 1.10282 0.295499i 0.338907 0.940820i \(-0.389943\pi\)
0.763912 + 0.645320i \(0.223276\pi\)
\(152\) 7.24424 3.49677i 0.587586 0.283626i
\(153\) 2.03749 2.03749i 0.164721 0.164721i
\(154\) −0.842573 + 17.7697i −0.0678965 + 1.43192i
\(155\) 4.53143 + 1.87698i 0.363974 + 0.150763i
\(156\) 7.20250 3.69803i 0.576662 0.296079i
\(157\) −1.13347 0.149224i −0.0904609 0.0119094i 0.0851599 0.996367i \(-0.472860\pi\)
−0.175621 + 0.984458i \(0.556193\pi\)
\(158\) −9.98256 1.56522i −0.794170 0.124522i
\(159\) 4.84600 + 8.39351i 0.384312 + 0.665649i
\(160\) 4.28067 + 0.529841i 0.338417 + 0.0418876i
\(161\) −22.3123 6.52608i −1.75846 0.514327i
\(162\) −1.31949 + 0.508855i −0.103669 + 0.0399794i
\(163\) 9.23768 12.0388i 0.723551 0.942950i −0.276285 0.961076i \(-0.589103\pi\)
0.999836 + 0.0181258i \(0.00576995\pi\)
\(164\) 2.69850 4.18367i 0.210718 0.326690i
\(165\) −2.20693 2.87613i −0.171809 0.223906i
\(166\) −0.0298268 0.00878484i −0.00231501 0.000681836i
\(167\) 14.5827 + 14.5827i 1.12844 + 1.12844i 0.990430 + 0.138014i \(0.0440720\pi\)
0.138014 + 0.990430i \(0.455928\pi\)
\(168\) 6.08947 + 4.34953i 0.469813 + 0.335573i
\(169\) 2.39558 2.39558i 0.184275 0.184275i
\(170\) 2.72832 1.48684i 0.209252 0.114035i
\(171\) −2.25629 + 1.73131i −0.172543 + 0.132397i
\(172\) 4.30055 + 0.783277i 0.327914 + 0.0597243i
\(173\) −15.2188 11.6778i −1.15706 0.887847i −0.161972 0.986795i \(-0.551785\pi\)
−0.995093 + 0.0989486i \(0.968452\pi\)
\(174\) −11.9980 5.31958i −0.909566 0.403276i
\(175\) 2.76806 + 11.3581i 0.209245 + 0.858590i
\(176\) 16.7692 + 8.97076i 1.26403 + 0.676197i
\(177\) −7.87765 + 4.54816i −0.592120 + 0.341861i
\(178\) −5.11135 + 3.72573i −0.383112 + 0.279256i
\(179\) −1.70867 + 12.9786i −0.127712 + 0.970069i 0.800843 + 0.598874i \(0.204385\pi\)
−0.928555 + 0.371195i \(0.878948\pi\)
\(180\) −1.51992 + 0.124362i −0.113288 + 0.00926943i
\(181\) 4.86037 11.7340i 0.361269 0.872180i −0.633846 0.773459i \(-0.718525\pi\)
0.995115 0.0987210i \(-0.0314751\pi\)
\(182\) 14.4287 + 4.60888i 1.06953 + 0.341633i
\(183\) 0.126018 + 0.126018i 0.00931553 + 0.00931553i
\(184\) −16.5433 + 18.5460i −1.21959 + 1.36723i
\(185\) −0.801382 2.99080i −0.0589188 0.219888i
\(186\) 8.84232 2.13736i 0.648351 0.156719i
\(187\) 13.5825 1.78818i 0.993254 0.130764i
\(188\) 17.8874 + 19.7426i 1.30457 + 1.43987i
\(189\) −2.42069 1.06783i −0.176079 0.0776732i
\(190\) −2.86138 + 1.10347i −0.207586 + 0.0800542i
\(191\) 13.7559 7.94197i 0.995342 0.574661i 0.0884749 0.996078i \(-0.471801\pi\)
0.906867 + 0.421418i \(0.138467\pi\)
\(192\) 6.99473 3.88249i 0.504801 0.280195i
\(193\) −1.70140 + 2.94691i −0.122469 + 0.212123i −0.920741 0.390174i \(-0.872415\pi\)
0.798271 + 0.602298i \(0.205748\pi\)
\(194\) −15.1995 12.2694i −1.09126 0.880889i
\(195\) −2.85177 + 1.18124i −0.204220 + 0.0845905i
\(196\) 2.32767 + 13.8051i 0.166262 + 0.986082i
\(197\) 6.20268 14.9746i 0.441922 1.06690i −0.533351 0.845894i \(-0.679068\pi\)
0.975274 0.221001i \(-0.0709325\pi\)
\(198\) −6.44991 1.89968i −0.458375 0.135004i
\(199\) 0.140179 0.0375609i 0.00993703 0.00266262i −0.253847 0.967244i \(-0.581696\pi\)
0.263784 + 0.964582i \(0.415029\pi\)
\(200\) 12.2365 + 2.54154i 0.865253 + 0.179714i
\(201\) 1.54988 5.78423i 0.109320 0.407988i
\(202\) 0.403273 16.3701i 0.0283742 1.15179i
\(203\) −8.87773 22.8924i −0.623095 1.60673i
\(204\) 2.46484 5.20916i 0.172574 0.364714i
\(205\) −1.15545 + 1.50581i −0.0806999 + 0.105170i
\(206\) 9.02698 + 12.3842i 0.628939 + 0.862845i
\(207\) 4.39330 7.60942i 0.305355 0.528891i
\(208\) 11.0733 11.8147i 0.767797 0.819203i
\(209\) −13.5217 −0.935317
\(210\) −2.17864 1.84205i −0.150340 0.127114i
\(211\) 11.8348 4.90214i 0.814743 0.337477i 0.0638981 0.997956i \(-0.479647\pi\)
0.750845 + 0.660479i \(0.229647\pi\)
\(212\) 14.7787 + 12.5431i 1.01500 + 0.861466i
\(213\) −7.65065 9.97052i −0.524214 0.683169i
\(214\) −6.02084 + 9.85939i −0.411576 + 0.673974i
\(215\) −1.60977 0.431335i −0.109785 0.0294168i
\(216\) −2.14219 + 1.84690i −0.145757 + 0.125666i
\(217\) 14.5414 + 8.84254i 0.987134 + 0.600270i
\(218\) −15.9475 + 15.1807i −1.08010 + 1.02817i
\(219\) 2.00848 + 15.2559i 0.135721 + 1.03090i
\(220\) −6.09304 3.93006i −0.410793 0.264965i
\(221\) 1.52254 11.5648i 0.102417 0.777934i
\(222\) −4.46856 3.60711i −0.299910 0.242093i
\(223\) −24.7167 −1.65515 −0.827576 0.561354i \(-0.810281\pi\)
−0.827576 + 0.561354i \(0.810281\pi\)
\(224\) 14.3969 + 4.09006i 0.961935 + 0.273279i
\(225\) −4.41860 −0.294573
\(226\) 15.1730 + 12.2480i 1.00929 + 0.814723i
\(227\) −2.11496 + 16.0647i −0.140375 + 1.06625i 0.765719 + 0.643175i \(0.222383\pi\)
−0.906094 + 0.423077i \(0.860950\pi\)
\(228\) −3.08310 + 4.77993i −0.204183 + 0.316559i
\(229\) 1.39987 + 10.6331i 0.0925059 + 0.702652i 0.973363 + 0.229270i \(0.0736338\pi\)
−0.880857 + 0.473383i \(0.843033\pi\)
\(230\) 6.86272 6.53273i 0.452514 0.430755i
\(231\) −6.04013 11.0341i −0.397412 0.725993i
\(232\) −26.1772 1.93774i −1.71862 0.127219i
\(233\) −0.861055 0.230719i −0.0564096 0.0151149i 0.230504 0.973071i \(-0.425963\pi\)
−0.286913 + 0.957957i \(0.592629\pi\)
\(234\) −2.98374 + 4.88600i −0.195053 + 0.319408i
\(235\) −6.18303 8.05789i −0.403337 0.525639i
\(236\) −11.7722 + 13.8704i −0.766307 + 0.902884i
\(237\) 6.60110 2.73426i 0.428787 0.177610i
\(238\) 10.1449 3.64945i 0.657597 0.236559i
\(239\) −8.67788 −0.561326 −0.280663 0.959806i \(-0.590554\pi\)
−0.280663 + 0.959806i \(0.590554\pi\)
\(240\) −2.77856 + 1.25780i −0.179355 + 0.0811903i
\(241\) −7.74905 + 13.4218i −0.499160 + 0.864571i −1.00000 0.000969273i \(-0.999691\pi\)
0.500839 + 0.865540i \(0.333025\pi\)
\(242\) −9.66734 13.2627i −0.621440 0.852556i
\(243\) 0.608761 0.793353i 0.0390521 0.0508936i
\(244\) 0.322185 + 0.152450i 0.0206258 + 0.00975963i
\(245\) −0.455254 5.31803i −0.0290851 0.339756i
\(246\) −0.0866954 + 3.51923i −0.00552750 + 0.224378i
\(247\) −2.97979 + 11.1207i −0.189600 + 0.707596i
\(248\) 15.2125 9.97999i 0.965994 0.633730i
\(249\) 0.0212373 0.00569053i 0.00134586 0.000360622i
\(250\) −9.74261 2.86947i −0.616177 0.181481i
\(251\) 7.69468 18.5766i 0.485684 1.17254i −0.471188 0.882033i \(-0.656175\pi\)
0.956871 0.290512i \(-0.0938255\pi\)
\(252\) −5.27779 0.380715i −0.332469 0.0239828i
\(253\) 38.5957 15.9869i 2.42649 1.00509i
\(254\) 2.28209 + 1.84215i 0.143191 + 0.115587i
\(255\) −1.09854 + 1.90274i −0.0687935 + 0.119154i
\(256\) 10.5578 12.0222i 0.659864 0.751385i
\(257\) −2.86360 + 1.65330i −0.178626 + 0.103130i −0.586647 0.809843i \(-0.699552\pi\)
0.408021 + 0.912973i \(0.366219\pi\)
\(258\) −2.88395 + 1.11218i −0.179547 + 0.0692412i
\(259\) −1.15965 10.6809i −0.0720574 0.663681i
\(260\) −4.57495 + 4.14506i −0.283727 + 0.257066i
\(261\) 9.20095 1.21133i 0.569525 0.0749794i
\(262\) −9.55660 + 2.31001i −0.590409 + 0.142713i
\(263\) 1.14525 + 4.27412i 0.0706190 + 0.263554i 0.992204 0.124622i \(-0.0397719\pi\)
−0.921585 + 0.388176i \(0.873105\pi\)
\(264\) −13.4259 + 0.766243i −0.826304 + 0.0471590i
\(265\) −5.22560 5.22560i −0.321006 0.321006i
\(266\) −10.3976 + 2.26424i −0.637516 + 0.138829i
\(267\) 1.71156 4.13208i 0.104746 0.252879i
\(268\) −0.976680 11.9367i −0.0596603 0.729147i
\(269\) −0.554737 + 4.21365i −0.0338229 + 0.256911i −1.00000 0.000970696i \(-0.999691\pi\)
0.966177 + 0.257881i \(0.0830244\pi\)
\(270\) 0.871407 0.635180i 0.0530321 0.0386558i
\(271\) −12.3226 + 7.11445i −0.748544 + 0.432172i −0.825168 0.564888i \(-0.808919\pi\)
0.0766237 + 0.997060i \(0.475586\pi\)
\(272\) 1.13367 11.4699i 0.0687389 0.695463i
\(273\) −10.4059 + 2.53601i −0.629796 + 0.153487i
\(274\) −5.08877 2.25622i −0.307424 0.136303i
\(275\) −16.6669 12.7889i −1.00505 0.771202i
\(276\) 3.14887 17.2888i 0.189540 1.04066i
\(277\) 7.05853 5.41620i 0.424106 0.325428i −0.374560 0.927203i \(-0.622206\pi\)
0.798666 + 0.601775i \(0.205539\pi\)
\(278\) 7.56423 4.12224i 0.453672 0.247235i
\(279\) −4.54849 + 4.54849i −0.272311 + 0.272311i
\(280\) −5.34336 2.00175i −0.319327 0.119627i
\(281\) 11.4397 + 11.4397i 0.682436 + 0.682436i 0.960548 0.278113i \(-0.0897089\pi\)
−0.278113 + 0.960548i \(0.589709\pi\)
\(282\) −18.0704 5.32223i −1.07608 0.316934i
\(283\) 3.45337 + 4.50052i 0.205282 + 0.267528i 0.884636 0.466282i \(-0.154407\pi\)
−0.679355 + 0.733810i \(0.737740\pi\)
\(284\) −21.1224 13.6242i −1.25339 0.808445i
\(285\) 1.32012 1.72042i 0.0781973 0.101909i
\(286\) −25.3964 + 9.79395i −1.50172 + 0.579129i
\(287\) −4.76165 + 4.54977i −0.281071 + 0.268564i
\(288\) −2.79037 + 4.92075i −0.164424 + 0.289958i
\(289\) 4.34865 + 7.53209i 0.255803 + 0.443064i
\(290\) 9.88652 + 1.55017i 0.580557 + 0.0910288i
\(291\) 13.6942 + 1.80287i 0.802768 + 0.105686i
\(292\) 14.0566 + 27.3774i 0.822599 + 1.60214i
\(293\) 17.1317 + 7.09619i 1.00085 + 0.414564i 0.822107 0.569333i \(-0.192798\pi\)
0.178738 + 0.983897i \(0.442798\pi\)
\(294\) −6.49227 7.47331i −0.378637 0.435852i
\(295\) 4.90444 4.90444i 0.285547 0.285547i
\(296\) −10.8444 3.78355i −0.630320 0.219914i
\(297\) 4.59247 1.23055i 0.266482 0.0714038i
\(298\) 13.0692 + 7.98098i 0.757079 + 0.462326i
\(299\) −4.64279 35.2655i −0.268500 2.03946i
\(300\) −8.32112 + 2.97573i −0.480420 + 0.171804i
\(301\) −5.29078 2.33390i −0.304955 0.134524i
\(302\) −8.04196 + 18.1382i −0.462763 + 1.04373i
\(303\) 5.78945 + 10.0276i 0.332595 + 0.576072i
\(304\) −2.58703 + 11.0779i −0.148376 + 0.635362i
\(305\) −0.117684 0.0679448i −0.00673856 0.00389051i
\(306\) 0.432232 + 4.05198i 0.0247091 + 0.231636i
\(307\) −4.62691 11.1703i −0.264072 0.637525i 0.735111 0.677947i \(-0.237130\pi\)
−0.999183 + 0.0404213i \(0.987130\pi\)
\(308\) −18.8058 16.7118i −1.07156 0.952243i
\(309\) −10.0115 4.14690i −0.569534 0.235909i
\(310\) −6.09071 + 3.31922i −0.345929 + 0.188519i
\(311\) −1.35872 5.07083i −0.0770462 0.287540i 0.916643 0.399706i \(-0.130888\pi\)
−0.993689 + 0.112166i \(0.964221\pi\)
\(312\) −2.32848 + 11.2108i −0.131824 + 0.634684i
\(313\) −21.2627 5.69731i −1.20184 0.322031i −0.398283 0.917263i \(-0.630394\pi\)
−0.803554 + 0.595231i \(0.797060\pi\)
\(314\) 1.17106 1.11475i 0.0660868 0.0629090i
\(315\) 1.99361 + 0.308753i 0.112327 + 0.0173963i
\(316\) 10.5898 9.59472i 0.595723 0.539745i
\(317\) −4.95563 3.80259i −0.278336 0.213575i 0.460154 0.887839i \(-0.347794\pi\)
−0.738490 + 0.674264i \(0.764461\pi\)
\(318\) −13.5411 2.12319i −0.759347 0.119062i
\(319\) 38.2118 + 22.0616i 2.13945 + 1.23521i
\(320\) −4.38552 + 4.23992i −0.245158 + 0.237019i
\(321\) 8.16878i 0.455937i
\(322\) 27.0013 18.7561i 1.50472 1.04524i
\(323\) 3.13601 + 7.57101i 0.174492 + 0.421262i
\(324\) 0.612134 1.90402i 0.0340074 0.105779i
\(325\) −14.1910 + 10.8891i −0.787174 + 0.604020i
\(326\) 5.04209 + 20.8593i 0.279256 + 1.15529i
\(327\) 4.02951 15.0383i 0.222833 0.831622i
\(328\) 2.20678 + 6.68581i 0.121849 + 0.369162i
\(329\) −16.9223 30.9138i −0.932957 1.70433i
\(330\) 5.12536 + 0.126262i 0.282142 + 0.00695050i
\(331\) −15.0222 + 1.97771i −0.825693 + 0.108705i −0.531518 0.847047i \(-0.678378\pi\)
−0.294175 + 0.955752i \(0.595045\pi\)
\(332\) 0.0361619 0.0250188i 0.00198464 0.00137309i
\(333\) 4.02600 + 0.530033i 0.220623 + 0.0290456i
\(334\) −29.0009 + 3.09358i −1.58686 + 0.169273i
\(335\) 4.56604i 0.249469i
\(336\) −10.1955 + 2.83739i −0.556213 + 0.154792i
\(337\) 19.1725i 1.04439i −0.852826 0.522196i \(-0.825113\pi\)
0.852826 0.522196i \(-0.174887\pi\)
\(338\) 0.508198 + 4.76413i 0.0276423 + 0.259134i
\(339\) −13.6703 1.79973i −0.742469 0.0977479i
\(340\) −0.787376 + 4.32306i −0.0427015 + 0.234451i
\(341\) −30.3217 + 3.99193i −1.64201 + 0.216175i
\(342\) 0.0990514 4.02080i 0.00535609 0.217420i
\(343\) 1.26309 18.4771i 0.0682002 0.997672i
\(344\) −4.68207 + 4.03667i −0.252440 + 0.217643i
\(345\) −1.73402 + 6.47147i −0.0933567 + 0.348412i
\(346\) 26.3693 6.37395i 1.41762 0.342666i
\(347\) −2.77769 + 2.13140i −0.149114 + 0.114419i −0.680624 0.732633i \(-0.738291\pi\)
0.531510 + 0.847052i \(0.321625\pi\)
\(348\) 16.5115 8.47761i 0.885109 0.454448i
\(349\) 1.07686 + 2.59977i 0.0576430 + 0.139163i 0.950077 0.312015i \(-0.101004\pi\)
−0.892434 + 0.451178i \(0.851004\pi\)
\(350\) −14.9576 7.04320i −0.799517 0.376475i
\(351\) 4.04819i 0.216077i
\(352\) −24.7676 + 10.4847i −1.32012 + 0.558837i
\(353\) 19.0516 + 10.9994i 1.01401 + 0.585440i 0.912364 0.409380i \(-0.134255\pi\)
0.101648 + 0.994820i \(0.467588\pi\)
\(354\) 1.99270 12.7089i 0.105911 0.675469i
\(355\) 7.60249 + 5.83360i 0.403499 + 0.309615i
\(356\) 0.440452 8.93421i 0.0233439 0.473512i
\(357\) −4.77733 + 5.94104i −0.252843 + 0.314433i
\(358\) −12.7643 13.4090i −0.674613 0.708690i
\(359\) −2.62382 0.703051i −0.138480 0.0371056i 0.188913 0.981994i \(-0.439504\pi\)
−0.327393 + 0.944888i \(0.606170\pi\)
\(360\) 1.21327 1.78303i 0.0639450 0.0939738i
\(361\) 2.82415 + 10.5399i 0.148640 + 0.554731i
\(362\) 8.59499 + 15.7717i 0.451743 + 0.828940i
\(363\) 10.7217 + 4.44107i 0.562743 + 0.233096i
\(364\) −17.8886 + 11.7838i −0.937619 + 0.617637i
\(365\) −4.49002 10.8399i −0.235019 0.567385i
\(366\) −0.250614 + 0.0267335i −0.0130998 + 0.00139738i
\(367\) −29.6921 17.1428i −1.54992 0.894845i −0.998147 0.0608476i \(-0.980620\pi\)
−0.551769 0.833997i \(-0.686047\pi\)
\(368\) −5.71324 34.6789i −0.297823 1.80776i
\(369\) −1.24461 2.15573i −0.0647920 0.112223i
\(370\) 4.00302 + 1.77483i 0.208107 + 0.0922690i
\(371\) −15.1434 20.6935i −0.786205 1.07435i
\(372\) −5.50253 + 11.6289i −0.285293 + 0.602932i
\(373\) 3.16031 + 24.0049i 0.163635 + 1.24293i 0.854310 + 0.519763i \(0.173980\pi\)
−0.690676 + 0.723165i \(0.742687\pi\)
\(374\) −10.0975 + 16.5350i −0.522127 + 0.855006i
\(375\) 6.93695 1.85875i 0.358222 0.0959854i
\(376\) −37.6145 + 2.14674i −1.93982 + 0.110710i
\(377\) 26.5650 26.5650i 1.36817 1.36817i
\(378\) 3.32534 1.71526i 0.171037 0.0882232i
\(379\) −18.9776 7.86077i −0.974813 0.403781i −0.162311 0.986740i \(-0.551895\pi\)
−0.812502 + 0.582959i \(0.801895\pi\)
\(380\) 1.32744 4.12894i 0.0680960 0.211810i
\(381\) −2.05608 0.270688i −0.105336 0.0138678i
\(382\) −3.47963 + 22.1921i −0.178034 + 1.13545i
\(383\) −5.47728 9.48693i −0.279876 0.484760i 0.691478 0.722398i \(-0.256960\pi\)
−0.971354 + 0.237638i \(0.923627\pi\)
\(384\) −1.94093 + 11.1460i −0.0990477 + 0.568791i
\(385\) 6.62623 + 6.93481i 0.337704 + 0.353431i
\(386\) −1.73153 4.48998i −0.0881326 0.228534i
\(387\) 1.33054 1.73399i 0.0676351 0.0881438i
\(388\) 27.0031 5.82725i 1.37088 0.295834i
\(389\) 7.28293 + 9.49130i 0.369259 + 0.481228i 0.940615 0.339474i \(-0.110249\pi\)
−0.571356 + 0.820702i \(0.693583\pi\)
\(390\) 1.23332 4.18746i 0.0624518 0.212040i
\(391\) −17.9026 17.9026i −0.905371 0.905371i
\(392\) −17.2592 9.70152i −0.871722 0.490001i
\(393\) 4.91591 4.91591i 0.247975 0.247975i
\(394\) 10.9687 + 20.1274i 0.552595 + 1.01400i
\(395\) −4.32221 + 3.31655i −0.217474 + 0.166874i
\(396\) 7.81985 5.41020i 0.392962 0.271873i
\(397\) 0.0757879 + 0.0581541i 0.00380369 + 0.00291867i 0.610662 0.791892i \(-0.290904\pi\)
−0.606858 + 0.794810i \(0.707570\pi\)
\(398\) −0.0831864 + 0.187622i −0.00416976 + 0.00940464i
\(399\) 5.44029 5.19821i 0.272355 0.260236i
\(400\) −13.6664 + 11.2078i −0.683318 + 0.560390i
\(401\) −7.71068 + 4.45177i −0.385053 + 0.222311i −0.680015 0.733199i \(-0.738027\pi\)
0.294961 + 0.955509i \(0.404693\pi\)
\(402\) 4.98839 + 6.84359i 0.248798 + 0.341327i
\(403\) −3.39892 + 25.8174i −0.169312 + 1.28605i
\(404\) 17.6559 + 14.9851i 0.878412 + 0.745538i
\(405\) −0.291795 + 0.704456i −0.0144994 + 0.0350047i
\(406\) 33.0774 + 10.5657i 1.64160 + 0.524367i
\(407\) 13.6519 + 13.6519i 0.676700 + 0.676700i
\(408\) 3.54281 + 7.33962i 0.175395 + 0.363365i
\(409\) 9.63415 + 35.9551i 0.476378 + 1.77787i 0.616091 + 0.787675i \(0.288715\pi\)
−0.139714 + 0.990192i \(0.544618\pi\)
\(410\) −0.630663 2.60908i −0.0311462 0.128853i
\(411\) 3.90245 0.513767i 0.192494 0.0253423i
\(412\) −21.6464 1.06716i −1.06644 0.0525751i
\(413\) 19.4217 14.2127i 0.955678 0.699360i
\(414\) 4.47110 + 11.5939i 0.219743 + 0.569808i
\(415\) −0.0145186 + 0.00838232i −0.000712691 + 0.000411472i
\(416\) 3.16494 + 22.6803i 0.155174 + 1.11199i
\(417\) −3.04570 + 5.27531i −0.149149 + 0.258333i
\(418\) 12.0112 14.8797i 0.587486 0.727789i
\(419\) −14.8284 + 6.14211i −0.724413 + 0.300062i −0.714254 0.699887i \(-0.753234\pi\)
−0.0101590 + 0.999948i \(0.503234\pi\)
\(420\) 3.96231 0.761163i 0.193341 0.0371409i
\(421\) −6.35424 + 15.3405i −0.309687 + 0.747650i 0.690028 + 0.723782i \(0.257598\pi\)
−0.999715 + 0.0238676i \(0.992402\pi\)
\(422\) −5.11828 + 17.3779i −0.249154 + 0.845943i
\(423\) 12.8665 3.44757i 0.625590 0.167626i
\(424\) −26.9305 + 5.12093i −1.30786 + 0.248694i
\(425\) −3.29526 + 12.2981i −0.159844 + 0.596545i
\(426\) 17.7678 + 0.437706i 0.860854 + 0.0212069i
\(427\) −0.367453 0.295477i −0.0177823 0.0142991i
\(428\) −5.50131 15.3835i −0.265916 0.743589i
\(429\) 11.7169 15.2697i 0.565695 0.737229i
\(430\) 1.90459 1.38828i 0.0918475 0.0669489i
\(431\) −13.0006 + 22.5177i −0.626215 + 1.08464i 0.362089 + 0.932144i \(0.382064\pi\)
−0.988304 + 0.152494i \(0.951270\pi\)
\(432\) −0.129500 3.99790i −0.00623055 0.192349i
\(433\) −17.5006 −0.841026 −0.420513 0.907286i \(-0.638150\pi\)
−0.420513 + 0.907286i \(0.638150\pi\)
\(434\) −22.6475 + 8.14704i −1.08712 + 0.391070i
\(435\) −6.53759 + 2.70796i −0.313454 + 0.129837i
\(436\) −2.53926 31.0340i −0.121609 1.48626i
\(437\) 15.2124 + 19.8251i 0.727706 + 0.948365i
\(438\) −18.5722 11.3415i −0.887414 0.541918i
\(439\) 15.4512 + 4.14014i 0.737446 + 0.197598i 0.607943 0.793981i \(-0.291995\pi\)
0.129503 + 0.991579i \(0.458662\pi\)
\(440\) 9.73714 3.21393i 0.464200 0.153218i
\(441\) 6.67207 + 2.11741i 0.317718 + 0.100829i
\(442\) 11.3738 + 11.9483i 0.540997 + 0.568325i
\(443\) 0.757089 + 5.75066i 0.0359704 + 0.273222i 0.999973 + 0.00732994i \(0.00233321\pi\)
−0.964003 + 0.265892i \(0.914333\pi\)
\(444\) 7.93873 1.71317i 0.376756 0.0813035i
\(445\) −0.445132 + 3.38112i −0.0211013 + 0.160280i
\(446\) 21.9556 27.1990i 1.03963 1.28791i
\(447\) −10.8282 −0.512157
\(448\) −17.2894 + 12.2096i −0.816849 + 0.576851i
\(449\) −3.33350 −0.157317 −0.0786587 0.996902i \(-0.525064\pi\)
−0.0786587 + 0.996902i \(0.525064\pi\)
\(450\) 3.92499 4.86235i 0.185026 0.229213i
\(451\) 1.54477 11.7337i 0.0727406 0.552520i
\(452\) −26.9560 + 5.81709i −1.26790 + 0.273613i
\(453\) −1.83125 13.9097i −0.0860394 0.653534i
\(454\) −15.7994 16.5975i −0.741501 0.778957i
\(455\) 7.16366 3.92142i 0.335838 0.183839i
\(456\) −2.52129 7.63869i −0.118070 0.357714i
\(457\) 21.5234 + 5.76719i 1.00682 + 0.269778i 0.724302 0.689483i \(-0.242162\pi\)
0.282522 + 0.959261i \(0.408829\pi\)
\(458\) −12.9444 7.90477i −0.604853 0.369366i
\(459\) −1.75411 2.28600i −0.0818748 0.106701i
\(460\) 1.09272 + 13.3549i 0.0509485 + 0.622674i
\(461\) 2.19904 0.910871i 0.102419 0.0424235i −0.330885 0.943671i \(-0.607347\pi\)
0.433305 + 0.901247i \(0.357347\pi\)
\(462\) 17.5077 + 3.15477i 0.814531 + 0.146773i
\(463\) −28.5928 −1.32882 −0.664410 0.747368i \(-0.731317\pi\)
−0.664410 + 0.747368i \(0.731317\pi\)
\(464\) 25.3852 27.0848i 1.17848 1.25738i
\(465\) 2.45239 4.24767i 0.113727 0.196981i
\(466\) 1.01875 0.742584i 0.0471929 0.0343996i
\(467\) 7.99264 10.4162i 0.369855 0.482005i −0.570934 0.820996i \(-0.693419\pi\)
0.940790 + 0.338991i \(0.110086\pi\)
\(468\) −2.72628 7.62357i −0.126022 0.352400i
\(469\) −2.42479 + 15.6568i −0.111967 + 0.722965i
\(470\) 14.3595 + 0.353742i 0.662352 + 0.0163169i
\(471\) −0.295895 + 1.10430i −0.0136341 + 0.0508833i
\(472\) −4.80620 25.2754i −0.221223 1.16339i
\(473\) 10.0375 2.68955i 0.461527 0.123666i
\(474\) −2.85482 + 9.69285i −0.131126 + 0.445208i
\(475\) 4.80898 11.6099i 0.220651 0.532699i
\(476\) −4.99565 + 14.4055i −0.228975 + 0.660276i
\(477\) 8.95423 3.70896i 0.409986 0.169822i
\(478\) 7.70847 9.54939i 0.352577 0.436779i
\(479\) −1.70166 + 2.94737i −0.0777510 + 0.134669i −0.902279 0.431152i \(-0.858107\pi\)
0.824528 + 0.565821i \(0.191441\pi\)
\(480\) 1.08405 4.17489i 0.0494798 0.190557i
\(481\) 14.2363 8.21933i 0.649119 0.374769i
\(482\) −7.88629 20.4497i −0.359210 0.931457i
\(483\) −9.38259 + 21.2696i −0.426923 + 0.967801i
\(484\) 23.1820 + 1.14286i 1.05373 + 0.0519482i
\(485\) −10.4418 + 1.37469i −0.474137 + 0.0624213i
\(486\) 0.332273 + 1.37463i 0.0150722 + 0.0623543i
\(487\) −0.101270 0.377945i −0.00458898 0.0171263i 0.963593 0.267372i \(-0.0861553\pi\)
−0.968182 + 0.250246i \(0.919489\pi\)
\(488\) −0.453954 + 0.219122i −0.0205495 + 0.00991920i
\(489\) −10.7300 10.7300i −0.485229 0.485229i
\(490\) 6.25651 + 4.22297i 0.282640 + 0.190774i
\(491\) −3.32812 + 8.03480i −0.150196 + 0.362605i −0.981013 0.193940i \(-0.937873\pi\)
0.830817 + 0.556545i \(0.187873\pi\)
\(492\) −3.79565 3.22149i −0.171121 0.145236i
\(493\) 3.49037 26.5120i 0.157198 1.19404i
\(494\) −9.59066 13.1575i −0.431504 0.591983i
\(495\) −3.13958 + 1.81264i −0.141114 + 0.0814721i
\(496\) −2.53081 + 25.6054i −0.113637 + 1.14972i
\(497\) 22.9708 + 24.0406i 1.03038 + 1.07837i
\(498\) −0.0126029 + 0.0284250i −0.000564748 + 0.00127375i
\(499\) 12.7671 + 9.79653i 0.571533 + 0.438553i 0.853665 0.520823i \(-0.174375\pi\)
−0.282132 + 0.959376i \(0.591041\pi\)
\(500\) 11.8119 8.17213i 0.528244 0.365469i
\(501\) 16.3614 12.5545i 0.730973 0.560895i
\(502\) 13.6071 + 24.9688i 0.607316 + 1.11441i
\(503\) 2.82420 2.82420i 0.125925 0.125925i −0.641336 0.767260i \(-0.721619\pi\)
0.767260 + 0.641336i \(0.221619\pi\)
\(504\) 5.10715 5.46965i 0.227491 0.243637i
\(505\) −6.24296 6.24296i −0.277808 0.277808i
\(506\) −16.6917 + 56.6728i −0.742038 + 2.51941i
\(507\) −2.06240 2.68777i −0.0915943 0.119368i
\(508\) −4.05431 + 0.874917i −0.179881 + 0.0388182i
\(509\) 13.6661 17.8100i 0.605738 0.789413i −0.385329 0.922779i \(-0.625912\pi\)
0.991067 + 0.133366i \(0.0425786\pi\)
\(510\) −1.11800 2.89905i −0.0495059 0.128372i
\(511\) −9.63965 39.5541i −0.426433 1.74977i
\(512\) 3.85115 + 22.2973i 0.170198 + 0.985410i
\(513\) 1.42200 + 2.46297i 0.0627827 + 0.108743i
\(514\) 0.724363 4.61979i 0.0319503 0.203770i
\(515\) 8.19201 + 1.07850i 0.360983 + 0.0475243i
\(516\) 1.33791 4.16152i 0.0588982 0.183201i
\(517\) 58.5106 + 24.2359i 2.57329 + 1.06589i
\(518\) 12.7837 + 8.21164i 0.561684 + 0.360799i
\(519\) −13.5643 + 13.5643i −0.595409 + 0.595409i
\(520\) −0.497465 8.71642i −0.0218153 0.382240i
\(521\) −4.24482 + 1.13739i −0.185969 + 0.0498302i −0.350601 0.936525i \(-0.614023\pi\)
0.164633 + 0.986355i \(0.447356\pi\)
\(522\) −6.84012 + 11.2010i −0.299384 + 0.490255i
\(523\) 5.28712 + 40.1596i 0.231189 + 1.75606i 0.576059 + 0.817408i \(0.304590\pi\)
−0.344870 + 0.938651i \(0.612077\pi\)
\(524\) 5.94702 12.5683i 0.259797 0.549049i
\(525\) 11.6222 1.26185i 0.507235 0.0550716i
\(526\) −5.72068 2.53639i −0.249433 0.110592i
\(527\) 9.26748 + 16.0517i 0.403698 + 0.699225i
\(528\) 11.0828 15.4548i 0.482319 0.672585i
\(529\) −46.9423 27.1021i −2.04097 1.17835i
\(530\) 10.3922 1.10856i 0.451410 0.0481527i
\(531\) 3.48101 + 8.40391i 0.151063 + 0.364699i
\(532\) 6.74441 13.4531i 0.292407 0.583265i
\(533\) −9.30981 3.85625i −0.403253 0.167033i
\(534\) 3.02670 + 5.55393i 0.130978 + 0.240342i
\(535\) 1.61210 + 6.01644i 0.0696971 + 0.260113i
\(536\) 14.0030 + 9.52843i 0.604838 + 0.411565i
\(537\) 12.6446 + 3.38810i 0.545654 + 0.146207i
\(538\) −4.14405 4.35338i −0.178663 0.187688i
\(539\) 19.0384 + 27.2981i 0.820043 + 1.17581i
\(540\) −0.0750902 + 1.52314i −0.00323137 + 0.0655457i
\(541\) −1.73327 1.32998i −0.0745189 0.0571803i 0.570830 0.821068i \(-0.306621\pi\)
−0.645349 + 0.763888i \(0.723288\pi\)
\(542\) 3.11707 19.8798i 0.133890 0.853911i
\(543\) −10.9992 6.35038i −0.472020 0.272521i
\(544\) 11.6147 + 11.4361i 0.497978 + 0.490318i
\(545\) 11.8712i 0.508506i
\(546\) 6.45278 13.7037i 0.276153 0.586465i
\(547\) 2.35903 + 5.69520i 0.100865 + 0.243509i 0.966254 0.257591i \(-0.0829288\pi\)
−0.865389 + 0.501100i \(0.832929\pi\)
\(548\) 7.00310 3.59565i 0.299158 0.153599i
\(549\) 0.141389 0.108491i 0.00603432 0.00463030i
\(550\) 28.8783 6.98043i 1.23138 0.297647i
\(551\) −6.83108 + 25.4939i −0.291014 + 1.08608i
\(552\) 16.2280 + 18.8225i 0.690707 + 0.801140i
\(553\) −16.5820 + 9.07704i −0.705138 + 0.385995i
\(554\) −0.309870 + 12.5786i −0.0131651 + 0.534412i
\(555\) −3.06981 + 0.404149i −0.130306 + 0.0171552i
\(556\) −2.18299 + 11.9856i −0.0925795 + 0.508304i
\(557\) 2.83469 + 0.373194i 0.120110 + 0.0158127i 0.190341 0.981718i \(-0.439041\pi\)
−0.0702317 + 0.997531i \(0.522374\pi\)
\(558\) −0.964916 9.04566i −0.0408482 0.382933i
\(559\) 8.84793i 0.374228i
\(560\) 6.94923 4.10186i 0.293658 0.173335i
\(561\) 13.6997i 0.578404i
\(562\) −22.7503 + 2.42682i −0.959665 + 0.102369i
\(563\) 8.47078 + 1.11520i 0.357001 + 0.0470000i 0.306894 0.951744i \(-0.400710\pi\)
0.0501071 + 0.998744i \(0.484044\pi\)
\(564\) 21.9084 15.1575i 0.922512 0.638245i
\(565\) 10.4236 1.37229i 0.438523 0.0577327i
\(566\) −8.02009 0.197573i −0.337110 0.00830462i
\(567\) −1.37466 + 2.26060i −0.0577302 + 0.0949363i
\(568\) 33.7552 11.1416i 1.41634 0.467489i
\(569\) 5.16569 19.2786i 0.216557 0.808202i −0.769056 0.639182i \(-0.779273\pi\)
0.985613 0.169020i \(-0.0540602\pi\)
\(570\) 0.720546 + 2.98093i 0.0301804 + 0.124857i
\(571\) −36.1284 + 27.7223i −1.51193 + 1.16014i −0.571280 + 0.820755i \(0.693553\pi\)
−0.940647 + 0.339387i \(0.889780\pi\)
\(572\) 11.7818 36.6468i 0.492621 1.53228i
\(573\) −6.07852 14.6748i −0.253934 0.613050i
\(574\) −0.776976 9.28137i −0.0324304 0.387397i
\(575\) 38.8244i 1.61909i
\(576\) −2.93628 7.44166i −0.122345 0.310069i
\(577\) −2.72284 1.57203i −0.113353 0.0654445i 0.442252 0.896891i \(-0.354180\pi\)
−0.555605 + 0.831447i \(0.687513\pi\)
\(578\) −12.1514 1.90529i −0.505431 0.0792495i
\(579\) 2.69962 + 2.07149i 0.112193 + 0.0860883i
\(580\) −10.4879 + 9.50242i −0.435488 + 0.394567i
\(581\) −0.0542353 + 0.0210326i −0.00225006 + 0.000872581i
\(582\) −14.1483 + 13.4680i −0.586467 + 0.558267i
\(583\) 44.5102 + 11.9265i 1.84343 + 0.493944i
\(584\) −42.6132 8.85080i −1.76335 0.366249i
\(585\) 0.798906 + 2.98156i 0.0330307 + 0.123272i
\(586\) −23.0268 + 12.5488i −0.951227 + 0.518385i
\(587\) −30.8975 12.7982i −1.27528 0.528236i −0.360712 0.932677i \(-0.617466\pi\)
−0.914564 + 0.404441i \(0.867466\pi\)
\(588\) 13.9909 0.505822i 0.576973 0.0208597i
\(589\) −7.00085 16.9015i −0.288465 0.696416i
\(590\) 1.04043 + 9.75354i 0.0428337 + 0.401547i
\(591\) −14.0369 8.10419i −0.577400 0.333362i
\(592\) 13.7965 8.57264i 0.567033 0.352333i
\(593\) −6.78778 11.7568i −0.278741 0.482793i 0.692331 0.721580i \(-0.256584\pi\)
−0.971072 + 0.238787i \(0.923250\pi\)
\(594\) −2.72531 + 6.14677i −0.111821 + 0.252205i
\(595\) 2.34612 5.31847i 0.0961815 0.218036i
\(596\) −20.3917 + 7.29232i −0.835278 + 0.298705i
\(597\) −0.0189425 0.143882i −0.000775264 0.00588872i
\(598\) 42.9313 + 26.2169i 1.75559 + 1.07209i
\(599\) 2.01171 0.539035i 0.0821961 0.0220244i −0.217487 0.976063i \(-0.569786\pi\)
0.299683 + 0.954039i \(0.403119\pi\)
\(600\) 4.11698 11.8001i 0.168075 0.481737i
\(601\) −7.59658 + 7.59658i −0.309871 + 0.309871i −0.844859 0.534988i \(-0.820316\pi\)
0.534988 + 0.844859i \(0.320316\pi\)
\(602\) 7.26803 3.74895i 0.296223 0.152796i
\(603\) −5.53244 2.29161i −0.225298 0.0933217i
\(604\) −12.8162 24.9615i −0.521482 1.01567i
\(605\) −8.77314 1.15501i −0.356679 0.0469577i
\(606\) −16.1774 2.53655i −0.657161 0.103040i
\(607\) −10.5123 18.2078i −0.426680 0.739032i 0.569895 0.821717i \(-0.306984\pi\)
−0.996576 + 0.0826851i \(0.973650\pi\)
\(608\) −9.89242 12.6872i −0.401191 0.514535i
\(609\) −23.8553 + 5.81373i −0.966665 + 0.235584i
\(610\) 0.179306 0.0691481i 0.00725987 0.00279972i
\(611\) 32.8265 42.7803i 1.32802 1.73071i
\(612\) −4.84286 3.12369i −0.195761 0.126268i
\(613\) 21.9395 + 28.5921i 0.886128 + 1.15482i 0.987127 + 0.159938i \(0.0511293\pi\)
−0.101000 + 0.994886i \(0.532204\pi\)
\(614\) 16.4022 + 4.83091i 0.661939 + 0.194960i
\(615\) 1.34211 + 1.34211i 0.0541190 + 0.0541190i
\(616\) 35.0951 5.84956i 1.41402 0.235685i
\(617\) 10.3903 10.3903i 0.418297 0.418297i −0.466319 0.884617i \(-0.654420\pi\)
0.884617 + 0.466319i \(0.154420\pi\)
\(618\) 13.4565 7.33329i 0.541298 0.294988i
\(619\) 7.35112 5.64072i 0.295467 0.226719i −0.450380 0.892837i \(-0.648712\pi\)
0.745847 + 0.666117i \(0.232045\pi\)
\(620\) 1.75774 9.65081i 0.0705926 0.387586i
\(621\) −6.97088 5.34894i −0.279732 0.214646i
\(622\) 6.78702 + 3.00918i 0.272135 + 0.120657i
\(623\) −3.32189 + 11.3574i −0.133089 + 0.455023i
\(624\) −10.2683 12.5207i −0.411060 0.501230i
\(625\) 14.3907 8.30850i 0.575630 0.332340i
\(626\) 25.1569 18.3372i 1.00547 0.732901i
\(627\) −1.76494 + 13.4060i −0.0704848 + 0.535386i
\(628\) 0.186463 + 2.27889i 0.00744069 + 0.0909376i
\(629\) 4.47769 10.8101i 0.178537 0.431027i
\(630\) −2.11066 + 1.91956i −0.0840908 + 0.0764773i
\(631\) 23.8077 + 23.8077i 0.947770 + 0.947770i 0.998702 0.0509320i \(-0.0162192\pi\)
−0.0509320 + 0.998702i \(0.516219\pi\)
\(632\) 1.15150 + 20.1762i 0.0458042 + 0.802567i
\(633\) −3.31545 12.3734i −0.131777 0.491800i
\(634\) 8.58651 2.07552i 0.341014 0.0824295i
\(635\) 1.56775 0.206399i 0.0622145 0.00819069i
\(636\) 14.3648 13.0150i 0.569602 0.516079i
\(637\) 26.6465 9.64216i 1.05577 0.382036i
\(638\) −58.2204 + 22.4523i −2.30497 + 0.888896i
\(639\) −10.8838 + 6.28378i −0.430558 + 0.248583i
\(640\) −0.770119 8.59223i −0.0304416 0.339638i
\(641\) −3.13079 + 5.42268i −0.123659 + 0.214183i −0.921208 0.389071i \(-0.872796\pi\)
0.797549 + 0.603254i \(0.206129\pi\)
\(642\) 8.98916 + 7.25624i 0.354774 + 0.286381i
\(643\) −2.81967 + 1.16795i −0.111197 + 0.0460593i −0.437588 0.899175i \(-0.644167\pi\)
0.326391 + 0.945235i \(0.394167\pi\)
\(644\) −3.34519 + 46.3738i −0.131819 + 1.82738i
\(645\) −0.637762 + 1.53969i −0.0251118 + 0.0606253i
\(646\) −11.1170 3.27428i −0.437394 0.128825i
\(647\) −38.2546 + 10.2503i −1.50394 + 0.402981i −0.914419 0.404770i \(-0.867352\pi\)
−0.589525 + 0.807750i \(0.700685\pi\)
\(648\) 1.55149 + 2.36493i 0.0609481 + 0.0929032i
\(649\) −11.1935 + 41.7746i −0.439383 + 1.63980i
\(650\) 0.622985 25.2888i 0.0244355 0.991910i
\(651\) 10.6649 13.2628i 0.417991 0.519810i
\(652\) −27.4330 12.9806i −1.07436 0.508361i
\(653\) −19.8412 + 25.8576i −0.776448 + 1.01189i 0.222866 + 0.974849i \(0.428459\pi\)
−0.999314 + 0.0370374i \(0.988208\pi\)
\(654\) 12.9693 + 17.7926i 0.507138 + 0.695745i
\(655\) −2.65050 + 4.59080i −0.103563 + 0.179377i
\(656\) −9.31752 3.51053i −0.363788 0.137063i
\(657\) 15.3876 0.600327
\(658\) 49.0503 + 8.83855i 1.91218 + 0.344563i
\(659\) −29.3294 + 12.1486i −1.14251 + 0.473244i −0.872016 0.489477i \(-0.837188\pi\)
−0.270496 + 0.962721i \(0.587188\pi\)
\(660\) −4.69174 + 5.52794i −0.182626 + 0.215175i
\(661\) 1.63398 + 2.12944i 0.0635543 + 0.0828256i 0.824049 0.566519i \(-0.191710\pi\)
−0.760495 + 0.649344i \(0.775043\pi\)
\(662\) 11.1677 18.2876i 0.434045 0.710768i
\(663\) −11.2672 3.01903i −0.437580 0.117249i
\(664\) −0.00459079 + 0.0620175i −0.000178157 + 0.00240675i
\(665\) −2.98100 + 4.90220i −0.115598 + 0.190099i
\(666\) −4.15951 + 3.95950i −0.161178 + 0.153428i
\(667\) −10.6435 80.8451i −0.412116 3.13033i
\(668\) 22.3569 34.6614i 0.865015 1.34109i
\(669\) −3.22618 + 24.5052i −0.124731 + 0.947427i
\(670\) −5.02460 4.05596i −0.194117 0.156695i
\(671\) 0.847327 0.0327107
\(672\) 5.93424 13.7399i 0.228918 0.530028i
\(673\) 12.9129 0.497756 0.248878 0.968535i \(-0.419938\pi\)
0.248878 + 0.968535i \(0.419938\pi\)
\(674\) 21.0980 + 17.0307i 0.812663 + 0.655998i
\(675\) −0.576743 + 4.38080i −0.0221988 + 0.168617i
\(676\) −5.69401 3.67269i −0.219000 0.141257i
\(677\) −1.53971 11.6953i −0.0591759 0.449485i −0.995224 0.0976143i \(-0.968879\pi\)
0.936048 0.351871i \(-0.114454\pi\)
\(678\) 14.1237 13.4445i 0.542416 0.516334i
\(679\) −36.5346 0.831345i −1.40207 0.0319041i
\(680\) −4.05780 4.70658i −0.155610 0.180489i
\(681\) 15.6512 + 4.19373i 0.599756 + 0.160704i
\(682\) 22.5416 36.9129i 0.863162 1.41347i
\(683\) −11.2969 14.7224i −0.432262 0.563335i 0.525538 0.850770i \(-0.323864\pi\)
−0.957800 + 0.287435i \(0.907197\pi\)
\(684\) 4.33661 + 3.68063i 0.165815 + 0.140732i
\(685\) −2.77282 + 1.14854i −0.105944 + 0.0438835i
\(686\) 19.2108 + 17.8030i 0.733471 + 0.679720i
\(687\) 10.7248 0.409177
\(688\) −0.283041 8.73801i −0.0107908 0.333134i
\(689\) 19.6175 33.9785i 0.747368 1.29448i
\(690\) −5.58107 7.65670i −0.212468 0.291486i
\(691\) −17.5589 + 22.8832i −0.667973 + 0.870519i −0.997280 0.0737034i \(-0.976518\pi\)
0.329307 + 0.944223i \(0.393185\pi\)
\(692\) −16.4095 + 34.6794i −0.623794 + 1.31831i
\(693\) −11.7281 + 4.54821i −0.445515 + 0.172772i
\(694\) 0.121941 4.94994i 0.00462881 0.187897i
\(695\) 1.20213 4.48642i 0.0455994 0.170179i
\(696\) −5.33797 + 25.7003i −0.202335 + 0.974167i
\(697\) −6.92816 + 1.85639i −0.262423 + 0.0703159i
\(698\) −3.81743 1.12434i −0.144492 0.0425569i
\(699\) −0.341135 + 0.823573i −0.0129029 + 0.0311504i
\(700\) 21.0372 10.2034i 0.795131 0.385651i
\(701\) 13.2873 5.50376i 0.501853 0.207874i −0.117372 0.993088i \(-0.537447\pi\)
0.619225 + 0.785214i \(0.287447\pi\)
\(702\) 4.45475 + 3.59596i 0.168134 + 0.135721i
\(703\) −5.77436 + 10.0015i −0.217784 + 0.377213i
\(704\) 10.4631 36.5684i 0.394343 1.37822i
\(705\) −8.79600 + 5.07837i −0.331277 + 0.191263i
\(706\) −29.0274 + 11.1942i −1.09246 + 0.421300i
\(707\) −18.0916 24.7223i −0.680405 0.929776i
\(708\) 12.2151 + 13.4820i 0.459072 + 0.506683i
\(709\) −26.4388 + 3.48073i −0.992929 + 0.130722i −0.609447 0.792827i \(-0.708608\pi\)
−0.383482 + 0.923548i \(0.625275\pi\)
\(710\) −13.1727 + 3.18408i −0.494361 + 0.119496i
\(711\) −1.84926 6.90152i −0.0693525 0.258827i
\(712\) 9.44021 + 8.42084i 0.353787 + 0.315584i
\(713\) 39.9657 + 39.9657i 1.49673 + 1.49673i
\(714\) −2.29405 10.5345i −0.0858527 0.394243i
\(715\) −5.61619 + 13.5587i −0.210034 + 0.507066i
\(716\) 26.0941 2.13507i 0.975181 0.0797912i
\(717\) −1.13269 + 8.60364i −0.0423011 + 0.321309i
\(718\) 3.10437 2.26282i 0.115854 0.0844476i
\(719\) −37.9540 + 21.9127i −1.41544 + 0.817207i −0.995894 0.0905252i \(-0.971145\pi\)
−0.419550 + 0.907732i \(0.637812\pi\)
\(720\) 0.884360 + 2.91896i 0.0329581 + 0.108783i
\(721\) 27.5174 + 8.04851i 1.02480 + 0.299742i
\(722\) −14.1071 6.25468i −0.525010 0.232775i
\(723\) 12.2955 + 9.43465i 0.457274 + 0.350878i
\(724\) −24.9904 4.55161i −0.928762 0.169159i
\(725\) −32.5324 + 24.9630i −1.20822 + 0.927101i
\(726\) −14.4110 + 7.85351i −0.534844 + 0.291471i
\(727\) 10.0627 10.0627i 0.373206 0.373206i −0.495438 0.868644i \(-0.664992\pi\)
0.868644 + 0.495438i \(0.164992\pi\)
\(728\) 2.92306 30.1525i 0.108336 1.11753i
\(729\) −0.707107 0.707107i −0.0261891 0.0261891i
\(730\) 15.9169 + 4.68799i 0.589113 + 0.173510i
\(731\) −3.83387 4.99639i −0.141801 0.184798i
\(732\) 0.193200 0.299530i 0.00714087 0.0110710i
\(733\) 7.95490 10.3670i 0.293821 0.382915i −0.622994 0.782226i \(-0.714084\pi\)
0.916815 + 0.399311i \(0.130751\pi\)
\(734\) 45.2396 17.4463i 1.66982 0.643956i
\(735\) −5.33196 0.242783i −0.196672 0.00895519i
\(736\) 43.2367 + 24.5179i 1.59373 + 0.903741i
\(737\) −14.2356 24.6567i −0.524373 0.908242i
\(738\) 3.47781 + 0.545305i 0.128020 + 0.0200730i
\(739\) 28.3167 + 3.72797i 1.04165 + 0.137136i 0.631889 0.775059i \(-0.282280\pi\)
0.409758 + 0.912194i \(0.365613\pi\)
\(740\) −5.50891 + 2.82848i −0.202512 + 0.103977i
\(741\) 10.6367 + 4.40585i 0.390747 + 0.161853i
\(742\) 36.2234 + 1.71758i 1.32980 + 0.0630544i
\(743\) −9.30773 + 9.30773i −0.341467 + 0.341467i −0.856919 0.515451i \(-0.827624\pi\)
0.515451 + 0.856919i \(0.327624\pi\)
\(744\) −7.90898 16.3850i −0.289957 0.600703i
\(745\) 7.97515 2.13693i 0.292187 0.0782912i
\(746\) −29.2230 17.8456i −1.06993 0.653374i
\(747\) −0.00286981 0.0217984i −0.000105001 0.000797562i
\(748\) −9.22617 25.7994i −0.337342 0.943320i
\(749\) 2.33282 + 21.4863i 0.0852392 + 0.785092i
\(750\) −4.11659 + 9.28472i −0.150317 + 0.339030i
\(751\) −8.25589 14.2996i −0.301262 0.521800i 0.675160 0.737671i \(-0.264074\pi\)
−0.976422 + 0.215871i \(0.930741\pi\)
\(752\) 31.0502 43.2990i 1.13228 1.57895i
\(753\) −17.4133 10.0536i −0.634577 0.366373i
\(754\) 5.63551 + 52.8304i 0.205233 + 1.92397i
\(755\) 4.09380 + 9.88331i 0.148989 + 0.359691i
\(756\) −1.06635 + 5.18294i −0.0387827 + 0.188502i
\(757\) −21.4564 8.88755i −0.779847 0.323023i −0.0429934 0.999075i \(-0.513689\pi\)
−0.736854 + 0.676052i \(0.763689\pi\)
\(758\) 25.5078 13.9008i 0.926485 0.504901i
\(759\) −10.8123 40.3522i −0.392463 1.46469i
\(760\) 3.36446 + 5.12844i 0.122042 + 0.186028i
\(761\) 22.1350 + 5.93107i 0.802395 + 0.215001i 0.636635 0.771165i \(-0.280326\pi\)
0.165760 + 0.986166i \(0.446992\pi\)
\(762\) 2.12426 2.02212i 0.0769540 0.0732537i
\(763\) −6.30420 + 40.7060i −0.228227 + 1.47366i
\(764\) −21.3299 23.5421i −0.771690 0.851724i
\(765\) 1.74307 + 1.33750i 0.0630208 + 0.0483575i
\(766\) 15.3051 + 2.39978i 0.552996 + 0.0867074i
\(767\) 31.8902 + 18.4118i 1.15149 + 0.664813i
\(768\) −10.5412 12.0367i −0.380374 0.434337i
\(769\) 9.26403i 0.334070i 0.985951 + 0.167035i \(0.0534192\pi\)
−0.985951 + 0.167035i \(0.946581\pi\)
\(770\) −13.5173 + 1.13158i −0.487128 + 0.0407793i
\(771\) 1.26538 + 3.05490i 0.0455715 + 0.110019i
\(772\) 6.47900 + 2.08297i 0.233184 + 0.0749677i
\(773\) −3.88397 + 2.98027i −0.139697 + 0.107193i −0.676246 0.736676i \(-0.736394\pi\)
0.536549 + 0.843869i \(0.319728\pi\)
\(774\) 0.726232 + 3.00445i 0.0261039 + 0.107993i
\(775\) 7.35636 27.4543i 0.264248 0.986188i
\(776\) −17.5741 + 34.8913i −0.630873 + 1.25252i
\(777\) −10.7409 0.244410i −0.385329 0.00876815i
\(778\) −16.9138 0.416669i −0.606391 0.0149383i
\(779\) 7.01878 0.924040i 0.251474 0.0331072i
\(780\) 3.51245 + 5.07685i 0.125766 + 0.181781i
\(781\) −59.2411 7.79923i −2.11981 0.279078i
\(782\) 35.6031 3.79785i 1.27317 0.135811i
\(783\) 9.28035i 0.331653i
\(784\) 26.0070 10.3748i 0.928821 0.370528i
\(785\) 0.871727i 0.0311133i
\(786\) 1.04286 + 9.77636i 0.0371976 + 0.348711i
\(787\) −7.40405 0.974761i −0.263926 0.0347465i −0.00259808 0.999997i \(-0.500827\pi\)
−0.261328 + 0.965250i \(0.584160\pi\)
\(788\) −31.8921 5.80864i −1.13611 0.206924i
\(789\) 4.38704 0.577565i 0.156183 0.0205619i
\(790\) 0.189745 7.70233i 0.00675083 0.274037i
\(791\) 36.4709 + 0.829895i 1.29676 + 0.0295077i
\(792\) −0.992738 + 13.4110i −0.0352754 + 0.476539i
\(793\) 0.186726 0.696872i 0.00663084 0.0247466i
\(794\) −0.131316 + 0.0317415i −0.00466023 + 0.00112647i
\(795\) −5.86297 + 4.49882i −0.207938 + 0.159557i
\(796\) −0.132571 0.258203i −0.00469885 0.00915177i
\(797\) −5.06309 12.2234i −0.179344 0.432974i 0.808486 0.588516i \(-0.200288\pi\)
−0.987829 + 0.155542i \(0.950288\pi\)
\(798\) 0.887712 + 10.6042i 0.0314247 + 0.375383i
\(799\) 38.3818i 1.35785i
\(800\) −0.193731 24.9946i −0.00684942 0.883693i
\(801\) −3.87332 2.23626i −0.136857 0.0790145i
\(802\) 1.95046 12.4395i 0.0688732 0.439254i
\(803\) 58.0417 + 44.5370i 2.04825 + 1.57168i
\(804\) −11.9620 0.589721i −0.421868 0.0207979i
\(805\) 2.71289 17.5171i 0.0956169 0.617395i
\(806\) −25.3909 26.6735i −0.894358 0.939535i
\(807\) 4.10519 + 1.09998i 0.144510 + 0.0387212i
\(808\) −32.1736 + 6.11791i −1.13186 + 0.215227i
\(809\) −4.77978 17.8384i −0.168048 0.627164i −0.997632 0.0687817i \(-0.978089\pi\)
0.829584 0.558383i \(-0.188578\pi\)
\(810\) −0.516005 0.946860i −0.0181306 0.0332693i
\(811\) 7.37208 + 3.05362i 0.258869 + 0.107227i 0.508344 0.861154i \(-0.330258\pi\)
−0.249475 + 0.968381i \(0.580258\pi\)
\(812\) −41.0091 + 27.0139i −1.43914 + 0.948003i
\(813\) 5.44516 + 13.1458i 0.190970 + 0.461043i
\(814\) −27.1498 + 2.89612i −0.951599 + 0.101509i
\(815\) 10.0204 + 5.78528i 0.350999 + 0.202649i
\(816\) −11.2238 2.62109i −0.392910 0.0917565i
\(817\) 3.10799 + 5.38319i 0.108735 + 0.188334i
\(818\) −48.1240 21.3368i −1.68261 0.746025i
\(819\) 1.15607 + 10.6479i 0.0403964 + 0.372069i
\(820\) 3.43132 + 1.62361i 0.119827 + 0.0566991i
\(821\) 0.693762 + 5.26965i 0.0242125 + 0.183912i 0.999277 0.0380075i \(-0.0121011\pi\)
−0.975065 + 0.221920i \(0.928768\pi\)
\(822\) −2.90114 + 4.75074i −0.101189 + 0.165701i
\(823\) 20.8750 5.59343i 0.727656 0.194975i 0.124071 0.992273i \(-0.460405\pi\)
0.603585 + 0.797299i \(0.293738\pi\)
\(824\) 20.4026 22.8724i 0.710759 0.796798i
\(825\) −14.8550 + 14.8550i −0.517185 + 0.517185i
\(826\) −1.61202 + 33.9971i −0.0560893 + 1.18291i
\(827\) −19.4683 8.06405i −0.676981 0.280415i 0.0175834 0.999845i \(-0.494403\pi\)
−0.694564 + 0.719431i \(0.744403\pi\)
\(828\) −16.7299 5.37857i −0.581403 0.186918i
\(829\) −42.8183 5.63713i −1.48714 0.195786i −0.657233 0.753687i \(-0.728273\pi\)
−0.829907 + 0.557901i \(0.811607\pi\)
\(830\) 0.00367257 0.0234226i 0.000127477 0.000813011i
\(831\) −4.44854 7.70510i −0.154318 0.267287i
\(832\) −27.7694 16.6638i −0.962731 0.577715i
\(833\) 10.8691 16.9910i 0.376594 0.588703i
\(834\) −3.09964 8.03758i −0.107332 0.278319i
\(835\) −9.57280 + 12.4755i −0.331280 + 0.431733i
\(836\) 5.70463 + 26.4349i 0.197299 + 0.914270i
\(837\) 3.91588 + 5.10327i 0.135353 + 0.176395i
\(838\) 6.41291 21.7735i 0.221530 0.752154i
\(839\) −9.63217 9.63217i −0.332539 0.332539i 0.521011 0.853550i \(-0.325555\pi\)
−0.853550 + 0.521011i \(0.825555\pi\)
\(840\) −2.68207 + 5.03637i −0.0925402 + 0.173771i
\(841\) 40.3934 40.3934i 1.39288 1.39288i
\(842\) −11.2367 20.6192i −0.387243 0.710584i
\(843\) 12.8350 9.84866i 0.442062 0.339206i
\(844\) −14.5766 21.0689i −0.501748 0.725221i
\(845\) 2.04942 + 1.57257i 0.0705021 + 0.0540982i
\(846\) −7.63536 + 17.2211i −0.262509 + 0.592073i
\(847\) −29.4695 8.61946i −1.01258 0.296168i
\(848\) 18.2869 34.1840i 0.627973 1.17388i
\(849\) 4.91277 2.83639i 0.168606 0.0973447i
\(850\) −10.6060 14.5505i −0.363784 0.499077i
\(851\) 4.65719 35.3748i 0.159646 1.21263i
\(852\) −16.2646 + 19.1634i −0.557217 + 0.656528i
\(853\) −13.6192 + 32.8796i −0.466312 + 1.12578i 0.499449 + 0.866343i \(0.333536\pi\)
−0.965761 + 0.259433i \(0.916464\pi\)
\(854\) 0.651555 0.141887i 0.0222958 0.00485526i
\(855\) −1.53339 1.53339i −0.0524408 0.0524408i
\(856\) 21.8152 + 7.61117i 0.745627 + 0.260145i
\(857\) 8.08753 + 30.1831i 0.276265 + 1.03103i 0.954989 + 0.296641i \(0.0958665\pi\)
−0.678724 + 0.734393i \(0.737467\pi\)
\(858\) 6.39527 + 26.4575i 0.218331 + 0.903243i
\(859\) −23.0427 + 3.03363i −0.786207 + 0.103506i −0.512931 0.858430i \(-0.671440\pi\)
−0.273276 + 0.961936i \(0.588107\pi\)
\(860\) −0.164121 + 3.32906i −0.00559648 + 0.113520i
\(861\) 3.88933 + 5.31478i 0.132548 + 0.181127i
\(862\) −13.2308 34.3084i −0.450643 1.16855i
\(863\) −6.83903 + 3.94851i −0.232803 + 0.134409i −0.611865 0.790963i \(-0.709580\pi\)
0.379061 + 0.925372i \(0.376247\pi\)
\(864\) 4.51444 + 3.40879i 0.153584 + 0.115969i
\(865\) 7.31345 12.6673i 0.248665 0.430700i
\(866\) 15.5456 19.2582i 0.528261 0.654420i
\(867\) 8.03527 3.32832i 0.272892 0.113036i
\(868\) 11.1523 32.1589i 0.378534 1.09154i
\(869\) 13.0000 31.3848i 0.440995 1.06466i
\(870\) 2.82735 9.59961i 0.0958563 0.325457i
\(871\) −23.4157 + 6.27421i −0.793409 + 0.212593i
\(872\) 36.4063 + 24.7728i 1.23287 + 0.838914i
\(873\) 3.57490 13.3417i 0.120992 0.451548i
\(874\) −35.3291 0.870325i −1.19502 0.0294392i
\(875\) −17.7154 + 6.87009i −0.598890 + 0.232251i
\(876\) 28.9780 10.3629i 0.979075 0.350128i
\(877\) −10.2138 + 13.3108i −0.344894 + 0.449475i −0.933304 0.359088i \(-0.883088\pi\)
0.588409 + 0.808563i \(0.299754\pi\)
\(878\) −18.2811 + 13.3253i −0.616956 + 0.449708i
\(879\) 9.27162 16.0589i 0.312724 0.541654i
\(880\) −5.11269 + 13.5699i −0.172349 + 0.457442i
\(881\) 25.6671 0.864747 0.432374 0.901695i \(-0.357676\pi\)
0.432374 + 0.901695i \(0.357676\pi\)
\(882\) −8.25679 + 5.46127i −0.278021 + 0.183890i
\(883\) 12.8820 5.33590i 0.433514 0.179567i −0.155245 0.987876i \(-0.549617\pi\)
0.588759 + 0.808309i \(0.299617\pi\)
\(884\) −23.2515 + 1.90249i −0.782034 + 0.0639876i
\(885\) −4.22232 5.50264i −0.141932 0.184969i
\(886\) −7.00071 4.27513i −0.235193 0.143626i
\(887\) −13.7047 3.67215i −0.460157 0.123299i 0.0212910 0.999773i \(-0.493222\pi\)
−0.481448 + 0.876475i \(0.659889\pi\)
\(888\) −5.16666 + 10.2578i −0.173382 + 0.344229i
\(889\) 5.48540 + 0.124820i 0.183974 + 0.00418633i
\(890\) −3.32527 3.49324i −0.111463 0.117094i
\(891\) −0.620584 4.71380i −0.0207904 0.157918i
\(892\) 10.4276 + 48.3210i 0.349143 + 1.61791i
\(893\) −4.94473 + 37.5590i −0.165469 + 1.25686i
\(894\) 9.61858 11.9157i 0.321693 0.398520i
\(895\) −9.98157 −0.333647
\(896\) 1.92218 29.8715i 0.0642157 0.997936i
\(897\) −35.5698 −1.18764
\(898\) 2.96111 3.66828i 0.0988134 0.122412i
\(899\) −7.79191 + 59.1855i −0.259875 + 1.97395i
\(900\) 1.86415 + 8.63834i 0.0621382 + 0.287945i
\(901\) −3.64519 27.6880i −0.121439 0.922420i
\(902\) 11.5399 + 12.1229i 0.384237 + 0.403647i
\(903\) −3.00452 + 4.94088i −0.0999842 + 0.164422i
\(904\) 17.5434 34.8304i 0.583486 1.15844i
\(905\) 9.35432 + 2.50648i 0.310948 + 0.0833183i
\(906\) 16.9333 + 10.3407i 0.562571 + 0.343546i
\(907\) 9.83259 + 12.8141i 0.326486 + 0.425484i 0.927540 0.373724i \(-0.121919\pi\)
−0.601054 + 0.799208i \(0.705253\pi\)
\(908\) 32.2987 2.64274i 1.07187 0.0877025i
\(909\) 10.6975 4.43105i 0.354814 0.146969i
\(910\) −2.04816 + 11.3664i −0.0678959 + 0.376794i
\(911\) 54.8984 1.81887 0.909433 0.415851i \(-0.136516\pi\)
0.909433 + 0.415851i \(0.136516\pi\)
\(912\) 10.6455 + 4.01086i 0.352507 + 0.132813i
\(913\) 0.0522672 0.0905294i 0.00172979 0.00299609i
\(914\) −25.4654 + 18.5621i −0.842320 + 0.613979i
\(915\) −0.0827244 + 0.107808i −0.00273478 + 0.00356404i
\(916\) 20.1970 7.22268i 0.667328 0.238644i
\(917\) −11.5264 + 14.3342i −0.380636 + 0.473356i
\(918\) 4.07373 + 0.100356i 0.134453 + 0.00331223i
\(919\) −5.55562 + 20.7339i −0.183263 + 0.683947i 0.811733 + 0.584029i \(0.198525\pi\)
−0.994996 + 0.0999179i \(0.968142\pi\)
\(920\) −15.6667 10.6605i −0.516517 0.351467i
\(921\) −11.6787 + 3.12930i −0.384827 + 0.103114i
\(922\) −0.951031 + 3.22900i −0.0313205 + 0.106341i
\(923\) −19.4694 + 47.0032i −0.640842 + 1.54713i
\(924\) −19.0235 + 16.4636i −0.625826 + 0.541612i
\(925\) −16.5770 + 6.86641i −0.545047 + 0.225766i
\(926\) 25.3987 31.4643i 0.834652 1.03398i
\(927\) −5.41818 + 9.38457i −0.177956 + 0.308230i
\(928\) 7.25551 + 51.9938i 0.238174 + 1.70678i
\(929\) −18.4514 + 10.6529i −0.605372 + 0.349512i −0.771152 0.636651i \(-0.780319\pi\)
0.165780 + 0.986163i \(0.446986\pi\)
\(930\) 2.49583 + 6.47185i 0.0818414 + 0.212220i
\(931\) −12.8251 + 15.2264i −0.420325 + 0.499027i
\(932\) −0.0877874 + 1.78070i −0.00287557 + 0.0583286i
\(933\) −5.20479 + 0.685224i −0.170397 + 0.0224332i
\(934\) 4.36253 + 18.0479i 0.142746 + 0.590547i
\(935\) 2.70363 + 10.0901i 0.0884181 + 0.329981i
\(936\) 10.8109 + 3.77186i 0.353366 + 0.123287i
\(937\) −16.9942 16.9942i −0.555177 0.555177i 0.372754 0.927930i \(-0.378414\pi\)
−0.927930 + 0.372754i \(0.878414\pi\)
\(938\) −15.0753 16.5761i −0.492226 0.541229i
\(939\) −8.42391 + 20.3371i −0.274904 + 0.663677i
\(940\) −13.1446 + 15.4873i −0.428730 + 0.505141i
\(941\) −4.87178 + 37.0049i −0.158816 + 1.20632i 0.707458 + 0.706755i \(0.249842\pi\)
−0.866274 + 0.499569i \(0.833492\pi\)
\(942\) −0.952359 1.30655i −0.0310295 0.0425696i
\(943\) −18.9416 + 10.9359i −0.616822 + 0.356122i
\(944\) 32.0831 + 17.1630i 1.04421 + 0.558607i
\(945\) 0.566331 1.93626i 0.0184227 0.0629864i
\(946\) −5.95657 + 13.4347i −0.193665 + 0.436800i
\(947\) 6.15484 + 4.72277i 0.200005 + 0.153469i 0.703908 0.710291i \(-0.251437\pi\)
−0.503903 + 0.863760i \(0.668103\pi\)
\(948\) −8.13039 11.7516i −0.264063 0.381673i
\(949\) 49.4195 37.9209i 1.60423 1.23097i
\(950\) 8.50411 + 15.6049i 0.275910 + 0.506289i
\(951\) −4.41690 + 4.41690i −0.143228 + 0.143228i
\(952\) −11.4147 18.2936i −0.369951 0.592899i
\(953\) 33.0947 + 33.0947i 1.07204 + 1.07204i 0.997195 + 0.0748485i \(0.0238473\pi\)
0.0748485 + 0.997195i \(0.476153\pi\)
\(954\) −3.87249 + 13.1481i −0.125377 + 0.425686i
\(955\) 7.37299 + 9.60867i 0.238584 + 0.310929i
\(956\) 3.66108 + 16.9652i 0.118408 + 0.548695i
\(957\) 26.8605 35.0053i 0.868277 1.13156i
\(958\) −1.73180 4.49067i −0.0559519 0.145087i
\(959\) −10.1179 + 2.46581i −0.326723 + 0.0796250i
\(960\) 3.63122 + 4.90142i 0.117197 + 0.158193i
\(961\) −5.18875 8.98718i −0.167379 0.289909i
\(962\) −3.60116 + 22.9672i −0.116106 + 0.740491i
\(963\) −8.09890 1.06624i −0.260983 0.0343591i
\(964\) 29.5087 + 9.48692i 0.950411 + 0.305553i
\(965\) −2.39712 0.992920i −0.0771661 0.0319632i
\(966\) −15.0713 29.2184i −0.484910 0.940088i
\(967\) 14.9178 14.9178i 0.479723 0.479723i −0.425320 0.905043i \(-0.639838\pi\)
0.905043 + 0.425320i \(0.139838\pi\)
\(968\) −21.8499 + 24.4950i −0.702284 + 0.787298i
\(969\) 7.91557 2.12097i 0.254285 0.0681354i
\(970\) 7.76257 12.7116i 0.249241 0.408143i
\(971\) −0.396957 3.01518i −0.0127389 0.0967619i 0.983894 0.178752i \(-0.0572059\pi\)
−0.996633 + 0.0819898i \(0.973873\pi\)
\(972\) −1.80783 0.855421i −0.0579862 0.0274377i
\(973\) 6.50458 14.7454i 0.208527 0.472716i
\(974\) 0.505858 + 0.224284i 0.0162087 + 0.00718651i
\(975\) 8.94367 + 15.4909i 0.286427 + 0.496105i
\(976\) 0.162114 0.694188i 0.00518914 0.0222204i
\(977\) 20.4882 + 11.8288i 0.655474 + 0.378438i 0.790550 0.612397i \(-0.209795\pi\)
−0.135076 + 0.990835i \(0.543128\pi\)
\(978\) 21.3390 2.27627i 0.682346 0.0727870i
\(979\) −8.13759 19.6459i −0.260079 0.627885i
\(980\) −10.2047 + 3.13362i −0.325976 + 0.100100i
\(981\) −14.3837 5.95794i −0.459237 0.190222i
\(982\) −5.88539 10.7996i −0.187810 0.344629i
\(983\) −10.9785 40.9724i −0.350160 1.30682i −0.886467 0.462792i \(-0.846848\pi\)
0.536307 0.844023i \(-0.319819\pi\)
\(984\) 6.91666 1.31523i 0.220495 0.0419279i
\(985\) 11.9377 + 3.19870i 0.380368 + 0.101919i
\(986\) 26.0741 + 27.3912i 0.830368 + 0.872314i
\(987\) −32.8581 + 12.7425i −1.04588 + 0.405598i
\(988\) 22.9981 + 1.13380i 0.731668 + 0.0360709i
\(989\) −15.2359 11.6909i −0.484473 0.371749i
\(990\) 0.794176 5.06503i 0.0252406 0.160977i
\(991\) −34.1594 19.7219i −1.08511 0.626487i −0.152838 0.988251i \(-0.548841\pi\)
−0.932270 + 0.361764i \(0.882175\pi\)
\(992\) −25.9288 25.5299i −0.823240 0.810576i
\(993\) 15.1518i 0.480828i
\(994\) −46.8596 + 3.92279i −1.48630 + 0.124423i
\(995\) 0.0423465 + 0.102233i 0.00134247 + 0.00324102i
\(996\) −0.0200847 0.0391182i −0.000636408 0.00123951i
\(997\) −35.6290 + 27.3391i −1.12838 + 0.865839i −0.992177 0.124842i \(-0.960158\pi\)
−0.136206 + 0.990681i \(0.543491\pi\)
\(998\) −22.1212 + 5.34712i −0.700236 + 0.169260i
\(999\) 1.05100 3.92237i 0.0332521 0.124098i
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 672.2.cf.a.619.17 yes 512
7.5 odd 6 inner 672.2.cf.a.523.61 yes 512
32.3 odd 8 inner 672.2.cf.a.451.61 yes 512
224.131 even 24 inner 672.2.cf.a.355.17 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
672.2.cf.a.355.17 512 224.131 even 24 inner
672.2.cf.a.451.61 yes 512 32.3 odd 8 inner
672.2.cf.a.523.61 yes 512 7.5 odd 6 inner
672.2.cf.a.619.17 yes 512 1.1 even 1 trivial