Properties

Label 570.2.bh.a.13.9
Level $570$
Weight $2$
Character 570.13
Analytic conductor $4.551$
Analytic rank $0$
Dimension $120$
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] = [570,2,Mod(13,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 27, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bh (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 13.9
Character \(\chi\) \(=\) 570.13
Dual form 570.2.bh.a.307.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.996195 + 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(0.998061 + 2.00097i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.394140 + 1.47095i) q^{7} +(0.965926 + 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +O(q^{10})\) \(q+(0.996195 + 0.0871557i) q^{2} +(0.906308 - 0.422618i) q^{3} +(0.984808 + 0.173648i) q^{4} +(0.998061 + 2.00097i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.394140 + 1.47095i) q^{7} +(0.965926 + 0.258819i) q^{8} +(0.642788 - 0.766044i) q^{9} +(0.819868 + 2.08034i) q^{10} +(-1.30477 - 2.25993i) q^{11} +(0.965926 - 0.258819i) q^{12} +(0.972392 - 2.08530i) q^{13} +(0.264438 + 1.49971i) q^{14} +(1.75020 + 1.39169i) q^{15} +(0.939693 + 0.342020i) q^{16} +(-0.118246 + 1.35156i) q^{17} +(0.707107 - 0.707107i) q^{18} +(2.17055 + 3.78004i) q^{19} +(0.635434 + 2.14388i) q^{20} +(0.978863 + 1.16656i) q^{21} +(-1.10284 - 2.36505i) q^{22} +(-1.48235 + 1.03795i) q^{23} +(0.984808 - 0.173648i) q^{24} +(-3.00775 + 3.99418i) q^{25} +(1.15044 - 1.99262i) q^{26} +(0.258819 - 0.965926i) q^{27} +(0.132724 + 1.51705i) q^{28} +(-1.04343 - 0.875539i) q^{29} +(1.62224 + 1.53894i) q^{30} +(-6.80691 - 3.92997i) q^{31} +(0.906308 + 0.422618i) q^{32} +(-2.13761 - 1.49677i) q^{33} +(-0.235592 + 1.33611i) q^{34} +(-2.54995 + 2.25676i) q^{35} +(0.766044 - 0.642788i) q^{36} +(4.17901 + 4.17901i) q^{37} +(1.83284 + 3.95483i) q^{38} -2.30088i q^{39} +(0.446165 + 2.19110i) q^{40} +(4.00476 - 11.0030i) q^{41} +(0.873465 + 1.24744i) q^{42} +(4.48916 - 6.41118i) q^{43} +(-0.892516 - 2.45217i) q^{44} +(2.17437 + 0.521638i) q^{45} +(-1.56717 + 0.904805i) q^{46} +(-2.35543 + 0.206073i) q^{47} +(0.996195 - 0.0871557i) q^{48} +(4.05383 - 2.34048i) q^{49} +(-3.34442 + 3.71684i) q^{50} +(0.464026 + 1.27490i) q^{51} +(1.31973 - 1.88477i) q^{52} +(-6.27045 - 8.95513i) q^{53} +(0.342020 - 0.939693i) q^{54} +(3.21980 - 4.86635i) q^{55} +1.52284i q^{56} +(3.56470 + 2.50856i) q^{57} +(-0.963148 - 0.963148i) q^{58} +(-5.66938 + 4.75718i) q^{59} +(1.48194 + 1.67447i) q^{60} +(-1.78456 + 10.1207i) q^{61} +(-6.43848 - 4.50828i) q^{62} +(1.38016 + 0.643580i) q^{63} +(0.866025 + 0.500000i) q^{64} +(5.14313 - 0.135533i) q^{65} +(-1.99902 - 1.67738i) q^{66} +(-0.562296 - 6.42707i) q^{67} +(-0.351146 + 1.31049i) q^{68} +(-0.904805 + 1.56717i) q^{69} +(-2.73694 + 2.02593i) q^{70} +(-4.79977 + 0.846329i) q^{71} +(0.819152 - 0.573576i) q^{72} +(-1.85998 - 3.98875i) q^{73} +(3.79888 + 4.52733i) q^{74} +(-1.03793 + 4.89108i) q^{75} +(1.48118 + 4.09952i) q^{76} +(2.80998 - 2.80998i) q^{77} +(0.200535 - 2.29212i) q^{78} +(-7.20261 - 2.62154i) q^{79} +(0.253499 + 2.22165i) q^{80} +(-0.173648 - 0.984808i) q^{81} +(4.94849 - 10.6121i) q^{82} +(-13.1868 + 3.53338i) q^{83} +(0.761420 + 1.31882i) q^{84} +(-2.82244 + 1.11233i) q^{85} +(5.03085 - 5.99553i) q^{86} +(-1.31568 - 0.352537i) q^{87} +(-0.675399 - 2.52062i) q^{88} +(-7.75612 + 2.82300i) q^{89} +(2.12063 + 0.709162i) q^{90} +(3.45064 + 0.608440i) q^{91} +(-1.64006 + 0.764774i) q^{92} +(-7.83003 - 0.685039i) q^{93} -2.36443 q^{94} +(-5.39739 + 8.11592i) q^{95} +1.00000 q^{96} +(12.3616 + 1.08150i) q^{97} +(4.24239 - 1.97826i) q^{98} +(-2.56990 - 0.453142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q - 12 q^{5} + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 120 q - 12 q^{5} + 12 q^{7} - 12 q^{10} + 48 q^{13} + 12 q^{17} + 36 q^{21} - 36 q^{22} - 96 q^{23} + 12 q^{25} + 12 q^{26} + 12 q^{30} + 24 q^{38} + 60 q^{41} + 96 q^{43} - 48 q^{47} - 24 q^{52} - 72 q^{53} + 108 q^{55} + 12 q^{57} + 24 q^{58} - 12 q^{60} - 24 q^{61} + 24 q^{62} + 24 q^{66} + 72 q^{67} + 12 q^{68} - 48 q^{70} + 36 q^{73} - 12 q^{76} - 24 q^{78} + 12 q^{80} - 72 q^{82} + 12 q^{83} - 108 q^{85} - 24 q^{86} + 12 q^{87} - 48 q^{91} - 84 q^{92} - 48 q^{93} - 204 q^{95} + 120 q^{96} + 24 q^{97} - 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.996195 + 0.0871557i 0.704416 + 0.0616284i
\(3\) 0.906308 0.422618i 0.523257 0.243999i
\(4\) 0.984808 + 0.173648i 0.492404 + 0.0868241i
\(5\) 0.998061 + 2.00097i 0.446347 + 0.894860i
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) 0.394140 + 1.47095i 0.148971 + 0.555967i 0.999546 + 0.0301143i \(0.00958712\pi\)
−0.850575 + 0.525853i \(0.823746\pi\)
\(8\) 0.965926 + 0.258819i 0.341506 + 0.0915064i
\(9\) 0.642788 0.766044i 0.214263 0.255348i
\(10\) 0.819868 + 2.08034i 0.259265 + 0.657861i
\(11\) −1.30477 2.25993i −0.393403 0.681394i 0.599493 0.800380i \(-0.295369\pi\)
−0.992896 + 0.118986i \(0.962036\pi\)
\(12\) 0.965926 0.258819i 0.278839 0.0747146i
\(13\) 0.972392 2.08530i 0.269693 0.578359i −0.724088 0.689707i \(-0.757739\pi\)
0.993781 + 0.111349i \(0.0355170\pi\)
\(14\) 0.264438 + 1.49971i 0.0706742 + 0.400813i
\(15\) 1.75020 + 1.39169i 0.451899 + 0.359334i
\(16\) 0.939693 + 0.342020i 0.234923 + 0.0855050i
\(17\) −0.118246 + 1.35156i −0.0286789 + 0.327801i 0.968280 + 0.249869i \(0.0803875\pi\)
−0.996959 + 0.0779326i \(0.975168\pi\)
\(18\) 0.707107 0.707107i 0.166667 0.166667i
\(19\) 2.17055 + 3.78004i 0.497959 + 0.867200i
\(20\) 0.635434 + 2.14388i 0.142087 + 0.479386i
\(21\) 0.978863 + 1.16656i 0.213605 + 0.254565i
\(22\) −1.10284 2.36505i −0.235126 0.504230i
\(23\) −1.48235 + 1.03795i −0.309091 + 0.216428i −0.717821 0.696228i \(-0.754860\pi\)
0.408731 + 0.912655i \(0.365972\pi\)
\(24\) 0.984808 0.173648i 0.201023 0.0354458i
\(25\) −3.00775 + 3.99418i −0.601549 + 0.798836i
\(26\) 1.15044 1.99262i 0.225619 0.390784i
\(27\) 0.258819 0.965926i 0.0498097 0.185893i
\(28\) 0.132724 + 1.51705i 0.0250825 + 0.286695i
\(29\) −1.04343 0.875539i −0.193760 0.162584i 0.540747 0.841185i \(-0.318142\pi\)
−0.734506 + 0.678602i \(0.762586\pi\)
\(30\) 1.62224 + 1.53894i 0.296180 + 0.280970i
\(31\) −6.80691 3.92997i −1.22256 0.705843i −0.257094 0.966386i \(-0.582765\pi\)
−0.965462 + 0.260543i \(0.916098\pi\)
\(32\) 0.906308 + 0.422618i 0.160214 + 0.0747091i
\(33\) −2.13761 1.49677i −0.372110 0.260554i
\(34\) −0.235592 + 1.33611i −0.0404038 + 0.229141i
\(35\) −2.54995 + 2.25676i −0.431020 + 0.381462i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) 4.17901 + 4.17901i 0.687024 + 0.687024i 0.961573 0.274549i \(-0.0885285\pi\)
−0.274549 + 0.961573i \(0.588528\pi\)
\(38\) 1.83284 + 3.95483i 0.297326 + 0.641558i
\(39\) 2.30088i 0.368435i
\(40\) 0.446165 + 2.19110i 0.0705448 + 0.346444i
\(41\) 4.00476 11.0030i 0.625438 1.71838i −0.0678285 0.997697i \(-0.521607\pi\)
0.693267 0.720681i \(-0.256171\pi\)
\(42\) 0.873465 + 1.24744i 0.134779 + 0.192484i
\(43\) 4.48916 6.41118i 0.684590 0.977696i −0.315001 0.949091i \(-0.602005\pi\)
0.999591 0.0286046i \(-0.00910638\pi\)
\(44\) −0.892516 2.45217i −0.134552 0.369678i
\(45\) 2.17437 + 0.521638i 0.324136 + 0.0777612i
\(46\) −1.56717 + 0.904805i −0.231066 + 0.133406i
\(47\) −2.35543 + 0.206073i −0.343575 + 0.0300589i −0.257637 0.966242i \(-0.582944\pi\)
−0.0859373 + 0.996301i \(0.527388\pi\)
\(48\) 0.996195 0.0871557i 0.143788 0.0125798i
\(49\) 4.05383 2.34048i 0.579118 0.334354i
\(50\) −3.34442 + 3.71684i −0.472972 + 0.525640i
\(51\) 0.464026 + 1.27490i 0.0649767 + 0.178522i
\(52\) 1.31973 1.88477i 0.183013 0.261370i
\(53\) −6.27045 8.95513i −0.861312 1.23008i −0.971706 0.236194i \(-0.924100\pi\)
0.110394 0.993888i \(-0.464789\pi\)
\(54\) 0.342020 0.939693i 0.0465430 0.127876i
\(55\) 3.21980 4.86635i 0.434158 0.656179i
\(56\) 1.52284i 0.203498i
\(57\) 3.56470 + 2.50856i 0.472156 + 0.332267i
\(58\) −0.963148 0.963148i −0.126468 0.126468i
\(59\) −5.66938 + 4.75718i −0.738091 + 0.619332i −0.932324 0.361623i \(-0.882223\pi\)
0.194233 + 0.980955i \(0.437778\pi\)
\(60\) 1.48194 + 1.67447i 0.191318 + 0.216173i
\(61\) −1.78456 + 10.1207i −0.228489 + 1.29583i 0.627411 + 0.778688i \(0.284115\pi\)
−0.855901 + 0.517140i \(0.826997\pi\)
\(62\) −6.43848 4.50828i −0.817688 0.572552i
\(63\) 1.38016 + 0.643580i 0.173884 + 0.0810835i
\(64\) 0.866025 + 0.500000i 0.108253 + 0.0625000i
\(65\) 5.14313 0.135533i 0.637927 0.0168108i
\(66\) −1.99902 1.67738i −0.246063 0.206471i
\(67\) −0.562296 6.42707i −0.0686954 0.785192i −0.949920 0.312494i \(-0.898836\pi\)
0.881224 0.472698i \(-0.156720\pi\)
\(68\) −0.351146 + 1.31049i −0.0425827 + 0.158921i
\(69\) −0.904805 + 1.56717i −0.108926 + 0.188665i
\(70\) −2.73694 + 2.02593i −0.327126 + 0.242145i
\(71\) −4.79977 + 0.846329i −0.569628 + 0.100441i −0.451042 0.892503i \(-0.648947\pi\)
−0.118587 + 0.992944i \(0.537836\pi\)
\(72\) 0.819152 0.573576i 0.0965380 0.0675966i
\(73\) −1.85998 3.98875i −0.217695 0.466847i 0.766885 0.641784i \(-0.221806\pi\)
−0.984580 + 0.174937i \(0.944028\pi\)
\(74\) 3.79888 + 4.52733i 0.441611 + 0.526291i
\(75\) −1.03793 + 4.89108i −0.119850 + 0.564774i
\(76\) 1.48118 + 4.09952i 0.169903 + 0.470248i
\(77\) 2.80998 2.80998i 0.320227 0.320227i
\(78\) 0.200535 2.29212i 0.0227061 0.259532i
\(79\) −7.20261 2.62154i −0.810357 0.294946i −0.0965860 0.995325i \(-0.530792\pi\)
−0.713771 + 0.700379i \(0.753014\pi\)
\(80\) 0.253499 + 2.22165i 0.0283421 + 0.248388i
\(81\) −0.173648 0.984808i −0.0192942 0.109423i
\(82\) 4.94849 10.6121i 0.546470 1.17191i
\(83\) −13.1868 + 3.53338i −1.44744 + 0.387839i −0.895131 0.445803i \(-0.852918\pi\)
−0.552305 + 0.833642i \(0.686251\pi\)
\(84\) 0.761420 + 1.31882i 0.0830778 + 0.143895i
\(85\) −2.82244 + 1.11233i −0.306137 + 0.120649i
\(86\) 5.03085 5.99553i 0.542490 0.646515i
\(87\) −1.31568 0.352537i −0.141056 0.0377959i
\(88\) −0.675399 2.52062i −0.0719978 0.268699i
\(89\) −7.75612 + 2.82300i −0.822148 + 0.299237i −0.718632 0.695391i \(-0.755231\pi\)
−0.103516 + 0.994628i \(0.533009\pi\)
\(90\) 2.12063 + 0.709162i 0.223534 + 0.0747523i
\(91\) 3.45064 + 0.608440i 0.361725 + 0.0637819i
\(92\) −1.64006 + 0.764774i −0.170988 + 0.0797332i
\(93\) −7.83003 0.685039i −0.811936 0.0710352i
\(94\) −2.36443 −0.243872
\(95\) −5.39739 + 8.11592i −0.553761 + 0.832676i
\(96\) 1.00000 0.102062
\(97\) 12.3616 + 1.08150i 1.25513 + 0.109810i 0.695252 0.718766i \(-0.255293\pi\)
0.559878 + 0.828575i \(0.310848\pi\)
\(98\) 4.24239 1.97826i 0.428546 0.199834i
\(99\) −2.56990 0.453142i −0.258284 0.0455425i
\(100\) −3.65563 + 3.41121i −0.365563 + 0.341121i
\(101\) −0.681726 + 0.248128i −0.0678343 + 0.0246897i −0.375714 0.926735i \(-0.622603\pi\)
0.307880 + 0.951425i \(0.400380\pi\)
\(102\) 0.351146 + 1.31049i 0.0347686 + 0.129758i
\(103\) 3.27493 + 0.877515i 0.322688 + 0.0864641i 0.416527 0.909123i \(-0.363247\pi\)
−0.0938386 + 0.995587i \(0.529914\pi\)
\(104\) 1.47897 1.76257i 0.145025 0.172835i
\(105\) −1.35729 + 3.12298i −0.132458 + 0.304771i
\(106\) −5.46610 9.46756i −0.530914 0.919571i
\(107\) −0.244530 + 0.0655215i −0.0236396 + 0.00633421i −0.270619 0.962686i \(-0.587229\pi\)
0.246980 + 0.969021i \(0.420562\pi\)
\(108\) 0.422618 0.906308i 0.0406665 0.0872095i
\(109\) −0.229524 1.30170i −0.0219844 0.124680i 0.971840 0.235640i \(-0.0757186\pi\)
−0.993825 + 0.110960i \(0.964607\pi\)
\(110\) 3.63168 4.56721i 0.346267 0.435466i
\(111\) 5.55359 + 2.02134i 0.527123 + 0.191857i
\(112\) −0.132724 + 1.51705i −0.0125413 + 0.143347i
\(113\) −4.23487 + 4.23487i −0.398383 + 0.398383i −0.877663 0.479279i \(-0.840898\pi\)
0.479279 + 0.877663i \(0.340898\pi\)
\(114\) 3.33250 + 2.80970i 0.312117 + 0.263153i
\(115\) −3.55638 1.93019i −0.331634 0.179991i
\(116\) −0.875539 1.04343i −0.0812918 0.0968798i
\(117\) −0.972392 2.08530i −0.0898977 0.192786i
\(118\) −6.06243 + 4.24496i −0.558092 + 0.390780i
\(119\) −2.03468 + 0.358770i −0.186519 + 0.0328884i
\(120\) 1.33036 + 1.79726i 0.121445 + 0.164066i
\(121\) 2.09515 3.62890i 0.190468 0.329900i
\(122\) −2.65985 + 9.92669i −0.240811 + 0.898721i
\(123\) −1.02052 11.6646i −0.0920170 1.05176i
\(124\) −6.02106 5.05227i −0.540707 0.453707i
\(125\) −10.9941 2.03197i −0.983346 0.181745i
\(126\) 1.31882 + 0.761420i 0.117490 + 0.0678327i
\(127\) 2.69851 + 1.25834i 0.239454 + 0.111659i 0.538642 0.842535i \(-0.318938\pi\)
−0.299187 + 0.954194i \(0.596715\pi\)
\(128\) 0.819152 + 0.573576i 0.0724035 + 0.0506975i
\(129\) 1.35908 7.70770i 0.119660 0.678626i
\(130\) 5.13537 + 0.313236i 0.450402 + 0.0274726i
\(131\) −2.93255 + 2.46070i −0.256218 + 0.214993i −0.761845 0.647760i \(-0.775706\pi\)
0.505626 + 0.862753i \(0.331262\pi\)
\(132\) −1.84522 1.84522i −0.160606 0.160606i
\(133\) −4.70475 + 4.68264i −0.407954 + 0.406037i
\(134\) 6.45162i 0.557335i
\(135\) 2.19110 0.446165i 0.188580 0.0383997i
\(136\) −0.464026 + 1.27490i −0.0397899 + 0.109322i
\(137\) 2.37632 + 3.39374i 0.203023 + 0.289946i 0.907733 0.419549i \(-0.137812\pi\)
−0.704710 + 0.709495i \(0.748923\pi\)
\(138\) −1.03795 + 1.48235i −0.0883562 + 0.126186i
\(139\) 2.72137 + 7.47690i 0.230823 + 0.634182i 0.999988 0.00486844i \(-0.00154968\pi\)
−0.769165 + 0.639051i \(0.779327\pi\)
\(140\) −2.90309 + 1.77968i −0.245356 + 0.150411i
\(141\) −2.04765 + 1.18221i −0.172444 + 0.0995604i
\(142\) −4.85527 + 0.424781i −0.407445 + 0.0356468i
\(143\) −5.98138 + 0.523303i −0.500188 + 0.0437608i
\(144\) 0.866025 0.500000i 0.0721688 0.0416667i
\(145\) 0.710522 2.96171i 0.0590056 0.245956i
\(146\) −1.50526 4.13568i −0.124576 0.342271i
\(147\) 2.68489 3.83442i 0.221446 0.316257i
\(148\) 3.38984 + 4.84119i 0.278643 + 0.397944i
\(149\) −2.11745 + 5.81765i −0.173468 + 0.476600i −0.995709 0.0925397i \(-0.970501\pi\)
0.822241 + 0.569140i \(0.192724\pi\)
\(150\) −1.46027 + 4.78201i −0.119230 + 0.390449i
\(151\) 10.2149i 0.831273i 0.909531 + 0.415637i \(0.136441\pi\)
−0.909531 + 0.415637i \(0.863559\pi\)
\(152\) 1.11825 + 4.21302i 0.0907019 + 0.341721i
\(153\) 0.959347 + 0.959347i 0.0775586 + 0.0775586i
\(154\) 3.04420 2.55438i 0.245308 0.205838i
\(155\) 1.07003 17.5428i 0.0859471 1.40907i
\(156\) 0.399543 2.26592i 0.0319890 0.181419i
\(157\) 14.3899 + 10.0759i 1.14844 + 0.804144i 0.983276 0.182123i \(-0.0582968\pi\)
0.165161 + 0.986267i \(0.447186\pi\)
\(158\) −6.94672 3.23931i −0.552652 0.257706i
\(159\) −9.46756 5.46610i −0.750826 0.433490i
\(160\) 0.0589051 + 2.23529i 0.00465686 + 0.176715i
\(161\) −2.11103 1.77136i −0.166372 0.139603i
\(162\) −0.0871557 0.996195i −0.00684760 0.0782684i
\(163\) 5.36513 20.0229i 0.420230 1.56832i −0.353895 0.935285i \(-0.615143\pi\)
0.774125 0.633033i \(-0.218190\pi\)
\(164\) 5.85457 10.1404i 0.457165 0.791833i
\(165\) 0.861525 5.77116i 0.0670696 0.449284i
\(166\) −13.4445 + 2.37064i −1.04350 + 0.183997i
\(167\) 17.3203 12.1278i 1.34029 0.938480i 0.340290 0.940320i \(-0.389475\pi\)
0.999998 + 0.00184029i \(0.000585784\pi\)
\(168\) 0.643580 + 1.38016i 0.0496533 + 0.106482i
\(169\) 4.95330 + 5.90311i 0.381023 + 0.454086i
\(170\) −2.90865 + 0.862108i −0.223083 + 0.0661206i
\(171\) 4.29088 + 0.767022i 0.328132 + 0.0586556i
\(172\) 5.53425 5.53425i 0.421982 0.421982i
\(173\) 0.392518 4.48651i 0.0298426 0.341103i −0.966565 0.256420i \(-0.917457\pi\)
0.996408 0.0846824i \(-0.0269876\pi\)
\(174\) −1.27995 0.465865i −0.0970330 0.0353171i
\(175\) −7.06071 2.84998i −0.533740 0.215438i
\(176\) −0.453142 2.56990i −0.0341569 0.193713i
\(177\) −3.12774 + 6.70745i −0.235095 + 0.504163i
\(178\) −7.97265 + 2.13627i −0.597575 + 0.160120i
\(179\) −4.88664 8.46390i −0.365244 0.632622i 0.623571 0.781767i \(-0.285681\pi\)
−0.988815 + 0.149145i \(0.952348\pi\)
\(180\) 2.05076 + 0.891289i 0.152854 + 0.0664328i
\(181\) −4.77563 + 5.69137i −0.354970 + 0.423036i −0.913748 0.406280i \(-0.866826\pi\)
0.558779 + 0.829317i \(0.311270\pi\)
\(182\) 3.38448 + 0.906868i 0.250874 + 0.0672215i
\(183\) 2.65985 + 9.92669i 0.196622 + 0.733802i
\(184\) −1.70048 + 0.618923i −0.125361 + 0.0456276i
\(185\) −4.19115 + 12.5330i −0.308140 + 0.921442i
\(186\) −7.74053 1.36486i −0.567563 0.100077i
\(187\) 3.20871 1.49625i 0.234644 0.109416i
\(188\) −2.35543 0.206073i −0.171787 0.0150294i
\(189\) 1.52284 0.110770
\(190\) −6.08420 + 7.61462i −0.441394 + 0.552423i
\(191\) −13.8262 −1.00043 −0.500215 0.865901i \(-0.666746\pi\)
−0.500215 + 0.865901i \(0.666746\pi\)
\(192\) 0.996195 + 0.0871557i 0.0718942 + 0.00628992i
\(193\) 23.8787 11.1348i 1.71883 0.801502i 0.725232 0.688504i \(-0.241732\pi\)
0.993595 0.112998i \(-0.0360455\pi\)
\(194\) 12.2203 + 2.15477i 0.877366 + 0.154703i
\(195\) 4.60398 2.29642i 0.329698 0.164450i
\(196\) 4.39866 1.60098i 0.314190 0.114356i
\(197\) 2.14830 + 8.01756i 0.153060 + 0.571227i 0.999264 + 0.0383678i \(0.0122159\pi\)
−0.846204 + 0.532859i \(0.821117\pi\)
\(198\) −2.52062 0.675399i −0.179133 0.0479985i
\(199\) −11.2439 + 13.4000i −0.797061 + 0.949901i −0.999568 0.0293800i \(-0.990647\pi\)
0.202507 + 0.979281i \(0.435091\pi\)
\(200\) −3.93903 + 3.07962i −0.278531 + 0.217762i
\(201\) −3.22581 5.58727i −0.227531 0.394096i
\(202\) −0.700758 + 0.187767i −0.0493051 + 0.0132113i
\(203\) 0.876619 1.87991i 0.0615266 0.131944i
\(204\) 0.235592 + 1.33611i 0.0164948 + 0.0935464i
\(205\) 26.0136 2.96826i 1.81687 0.207312i
\(206\) 3.18599 + 1.15960i 0.221978 + 0.0807935i
\(207\) −0.157718 + 1.80272i −0.0109622 + 0.125298i
\(208\) 1.62697 1.62697i 0.112810 0.112810i
\(209\) 5.71055 9.83738i 0.395007 0.680466i
\(210\) −1.62431 + 2.99280i −0.112088 + 0.206523i
\(211\) −12.1279 14.4534i −0.834918 0.995016i −0.999962 0.00872989i \(-0.997221\pi\)
0.165044 0.986286i \(-0.447223\pi\)
\(212\) −4.62014 9.90793i −0.317313 0.680480i
\(213\) −3.99240 + 2.79551i −0.273555 + 0.191545i
\(214\) −0.249310 + 0.0439600i −0.0170425 + 0.00300505i
\(215\) 17.3090 + 2.58391i 1.18047 + 0.176221i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) 3.09792 11.5616i 0.210300 0.784852i
\(218\) −0.115200 1.31675i −0.00780236 0.0891814i
\(219\) −3.37143 2.82897i −0.227820 0.191164i
\(220\) 4.01592 4.23331i 0.270753 0.285410i
\(221\) 2.70343 + 1.56083i 0.181852 + 0.104992i
\(222\) 5.35629 + 2.49768i 0.359490 + 0.167633i
\(223\) 5.35491 + 3.74955i 0.358591 + 0.251088i 0.738964 0.673745i \(-0.235315\pi\)
−0.380373 + 0.924833i \(0.624204\pi\)
\(224\) −0.264438 + 1.49971i −0.0176685 + 0.100203i
\(225\) 1.12638 + 4.87148i 0.0750917 + 0.324765i
\(226\) −4.58785 + 3.84966i −0.305179 + 0.256076i
\(227\) 6.72873 + 6.72873i 0.446601 + 0.446601i 0.894223 0.447622i \(-0.147729\pi\)
−0.447622 + 0.894223i \(0.647729\pi\)
\(228\) 3.07494 + 3.08946i 0.203643 + 0.204604i
\(229\) 13.9574i 0.922332i 0.887314 + 0.461166i \(0.152569\pi\)
−0.887314 + 0.461166i \(0.847431\pi\)
\(230\) −3.37462 2.23280i −0.222516 0.147227i
\(231\) 1.35916 3.73426i 0.0894261 0.245696i
\(232\) −0.781267 1.11576i −0.0512927 0.0732535i
\(233\) −9.65689 + 13.7915i −0.632644 + 0.903509i −0.999643 0.0267123i \(-0.991496\pi\)
0.366999 + 0.930221i \(0.380385\pi\)
\(234\) −0.786946 2.16212i −0.0514443 0.141342i
\(235\) −2.76321 4.50747i −0.180252 0.294035i
\(236\) −6.40933 + 3.70043i −0.417212 + 0.240877i
\(237\) −7.63570 + 0.668037i −0.495992 + 0.0433937i
\(238\) −2.05821 + 0.180070i −0.133414 + 0.0116722i
\(239\) −21.8862 + 12.6360i −1.41570 + 0.817355i −0.995917 0.0902699i \(-0.971227\pi\)
−0.419783 + 0.907625i \(0.637894\pi\)
\(240\) 1.16866 + 1.90637i 0.0754366 + 0.123055i
\(241\) 7.82661 + 21.5034i 0.504156 + 1.38516i 0.887182 + 0.461420i \(0.152660\pi\)
−0.383025 + 0.923738i \(0.625118\pi\)
\(242\) 2.40345 3.43249i 0.154500 0.220649i
\(243\) −0.573576 0.819152i −0.0367949 0.0525486i
\(244\) −3.51490 + 9.65710i −0.225018 + 0.618232i
\(245\) 8.72919 + 5.77564i 0.557688 + 0.368992i
\(246\) 11.7091i 0.746547i
\(247\) 9.99315 0.850579i 0.635849 0.0541210i
\(248\) −5.55782 5.55782i −0.352922 0.352922i
\(249\) −10.4580 + 8.77530i −0.662749 + 0.556112i
\(250\) −10.7752 2.98244i −0.681484 0.188626i
\(251\) 2.15841 12.2409i 0.136237 0.772640i −0.837753 0.546050i \(-0.816131\pi\)
0.973990 0.226591i \(-0.0727579\pi\)
\(252\) 1.24744 + 0.873465i 0.0785812 + 0.0550232i
\(253\) 4.27981 + 1.99571i 0.269070 + 0.125469i
\(254\) 2.57857 + 1.48874i 0.161794 + 0.0934119i
\(255\) −2.08791 + 2.20093i −0.130750 + 0.137828i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) −0.197037 2.25214i −0.0122908 0.140485i 0.987570 0.157181i \(-0.0502407\pi\)
−0.999861 + 0.0166963i \(0.994685\pi\)
\(258\) 2.02568 7.55992i 0.126113 0.470660i
\(259\) −4.50000 + 7.79423i −0.279616 + 0.484310i
\(260\) 5.08853 + 0.759621i 0.315577 + 0.0471097i
\(261\) −1.34140 + 0.236526i −0.0830308 + 0.0146406i
\(262\) −3.13586 + 2.19575i −0.193734 + 0.135654i
\(263\) −1.21053 2.59599i −0.0746446 0.160076i 0.865444 0.501005i \(-0.167036\pi\)
−0.940089 + 0.340929i \(0.889258\pi\)
\(264\) −1.67738 1.99902i −0.103236 0.123031i
\(265\) 11.6606 21.4847i 0.716307 1.31980i
\(266\) −5.09497 + 4.25478i −0.312392 + 0.260877i
\(267\) −5.83639 + 5.83639i −0.357181 + 0.357181i
\(268\) 0.562296 6.42707i 0.0343477 0.392596i
\(269\) 18.2939 + 6.65843i 1.11540 + 0.405972i 0.832971 0.553317i \(-0.186638\pi\)
0.282428 + 0.959289i \(0.408860\pi\)
\(270\) 2.22165 0.253499i 0.135205 0.0154275i
\(271\) −0.154300 0.875081i −0.00937308 0.0531574i 0.979762 0.200164i \(-0.0641474\pi\)
−0.989136 + 0.147006i \(0.953036\pi\)
\(272\) −0.573376 + 1.22961i −0.0347660 + 0.0745559i
\(273\) 3.38448 0.906868i 0.204838 0.0548861i
\(274\) 2.07149 + 3.58793i 0.125143 + 0.216755i
\(275\) 12.9510 + 1.58581i 0.780973 + 0.0956279i
\(276\) −1.16320 + 1.38624i −0.0700161 + 0.0834420i
\(277\) −26.6558 7.14239i −1.60159 0.429145i −0.656068 0.754702i \(-0.727781\pi\)
−0.945522 + 0.325557i \(0.894448\pi\)
\(278\) 2.05936 + 7.68563i 0.123512 + 0.460953i
\(279\) −7.38593 + 2.68826i −0.442184 + 0.160942i
\(280\) −3.04716 + 1.51989i −0.182102 + 0.0908307i
\(281\) −3.35930 0.592334i −0.200399 0.0353357i 0.0725476 0.997365i \(-0.476887\pi\)
−0.272946 + 0.962029i \(0.587998\pi\)
\(282\) −2.14290 + 0.999250i −0.127608 + 0.0595045i
\(283\) 27.1089 + 2.37172i 1.61145 + 0.140984i 0.856981 0.515348i \(-0.172337\pi\)
0.754473 + 0.656332i \(0.227893\pi\)
\(284\) −4.87382 −0.289208
\(285\) −1.46176 + 9.63656i −0.0865874 + 0.570820i
\(286\) −6.00423 −0.355038
\(287\) 17.7633 + 1.55409i 1.04853 + 0.0917348i
\(288\) 0.906308 0.422618i 0.0534047 0.0249030i
\(289\) 14.9290 + 2.63239i 0.878177 + 0.154846i
\(290\) 0.965948 2.88851i 0.0567224 0.169619i
\(291\) 11.6605 4.24407i 0.683549 0.248792i
\(292\) −1.13909 4.25113i −0.0666600 0.248779i
\(293\) 23.0953 + 6.18835i 1.34924 + 0.361527i 0.859854 0.510540i \(-0.170555\pi\)
0.489385 + 0.872068i \(0.337221\pi\)
\(294\) 3.00886 3.58582i 0.175480 0.209129i
\(295\) −15.1774 6.59630i −0.883660 0.384052i
\(296\) 2.95500 + 5.11822i 0.171756 + 0.297490i
\(297\) −2.52062 + 0.675399i −0.146261 + 0.0391906i
\(298\) −2.61643 + 5.61096i −0.151566 + 0.325034i
\(299\) 0.723017 + 4.10043i 0.0418132 + 0.237134i
\(300\) −1.87149 + 4.63654i −0.108051 + 0.267691i
\(301\) 11.1999 + 4.07643i 0.645551 + 0.234961i
\(302\) −0.890283 + 10.1760i −0.0512300 + 0.585562i
\(303\) −0.512990 + 0.512990i −0.0294705 + 0.0294705i
\(304\) 0.746804 + 4.29445i 0.0428321 + 0.246303i
\(305\) −22.0324 + 6.53027i −1.26157 + 0.373922i
\(306\) 0.872084 + 1.03931i 0.0498537 + 0.0594134i
\(307\) −10.6780 22.8991i −0.609428 1.30692i −0.932713 0.360620i \(-0.882565\pi\)
0.323285 0.946302i \(-0.395213\pi\)
\(308\) 3.25524 2.27934i 0.185485 0.129878i
\(309\) 3.33895 0.588747i 0.189946 0.0334926i
\(310\) 2.59491 17.3827i 0.147381 0.987273i
\(311\) 5.99155 10.3777i 0.339749 0.588463i −0.644636 0.764490i \(-0.722991\pi\)
0.984385 + 0.176026i \(0.0563244\pi\)
\(312\) 0.595511 2.22248i 0.0337142 0.125823i
\(313\) 0.639055 + 7.30443i 0.0361215 + 0.412871i 0.992632 + 0.121172i \(0.0386651\pi\)
−0.956510 + 0.291699i \(0.905779\pi\)
\(314\) 13.4569 + 11.2917i 0.759419 + 0.637228i
\(315\) 0.0897031 + 3.40399i 0.00505420 + 0.191793i
\(316\) −6.63797 3.83243i −0.373415 0.215591i
\(317\) 26.4519 + 12.3347i 1.48569 + 0.692787i 0.984954 0.172816i \(-0.0552865\pi\)
0.500732 + 0.865602i \(0.333064\pi\)
\(318\) −8.95513 6.27045i −0.502179 0.351629i
\(319\) −0.617224 + 3.50045i −0.0345579 + 0.195987i
\(320\) −0.136138 + 2.23192i −0.00761032 + 0.124768i
\(321\) −0.193929 + 0.162725i −0.0108240 + 0.00908245i
\(322\) −1.94861 1.94861i −0.108592 0.108592i
\(323\) −5.36561 + 2.48666i −0.298550 + 0.138361i
\(324\) 1.00000i 0.0555556i
\(325\) 5.40436 + 10.1560i 0.299780 + 0.563352i
\(326\) 7.08983 19.4791i 0.392669 1.07885i
\(327\) −0.758140 1.08274i −0.0419253 0.0598755i
\(328\) 6.71608 9.59156i 0.370834 0.529605i
\(329\) −1.23149 3.38350i −0.0678944 0.186538i
\(330\) 1.36124 5.67411i 0.0749336 0.312350i
\(331\) −29.1164 + 16.8104i −1.60038 + 0.923982i −0.608974 + 0.793190i \(0.708419\pi\)
−0.991410 + 0.130792i \(0.958248\pi\)
\(332\) −13.6000 + 1.18985i −0.746397 + 0.0653013i
\(333\) 5.88752 0.515091i 0.322634 0.0282268i
\(334\) 18.3114 10.5721i 1.00196 0.578481i
\(335\) 12.2992 7.53975i 0.671975 0.411941i
\(336\) 0.520842 + 1.43100i 0.0284143 + 0.0780676i
\(337\) −8.67136 + 12.3840i −0.472359 + 0.674598i −0.982664 0.185395i \(-0.940644\pi\)
0.510305 + 0.859993i \(0.329532\pi\)
\(338\) 4.41996 + 6.31236i 0.240414 + 0.343347i
\(339\) −2.04836 + 5.62783i −0.111252 + 0.305662i
\(340\) −2.97272 + 0.605321i −0.161218 + 0.0328282i
\(341\) 20.5108i 1.11072i
\(342\) 4.20770 + 1.13808i 0.227527 + 0.0615402i
\(343\) 12.5782 + 12.5782i 0.679158 + 0.679158i
\(344\) 5.99553 5.03085i 0.323257 0.271245i
\(345\) −4.03891 0.246356i −0.217447 0.0132634i
\(346\) 0.782050 4.43522i 0.0420433 0.238439i
\(347\) 23.4498 + 16.4197i 1.25885 + 0.881456i 0.996506 0.0835191i \(-0.0266160\pi\)
0.262343 + 0.964975i \(0.415505\pi\)
\(348\) −1.23448 0.575647i −0.0661750 0.0308579i
\(349\) −0.949169 0.548003i −0.0508078 0.0293339i 0.474381 0.880320i \(-0.342672\pi\)
−0.525189 + 0.850986i \(0.676005\pi\)
\(350\) −6.78545 3.45452i −0.362698 0.184652i
\(351\) −1.76257 1.47897i −0.0940792 0.0789418i
\(352\) −0.227437 2.59961i −0.0121224 0.138560i
\(353\) 7.98030 29.7829i 0.424748 1.58518i −0.339724 0.940525i \(-0.610334\pi\)
0.764472 0.644657i \(-0.223000\pi\)
\(354\) −3.70043 + 6.40933i −0.196676 + 0.340652i
\(355\) −6.48394 8.75950i −0.344132 0.464906i
\(356\) −8.12850 + 1.43327i −0.430810 + 0.0759634i
\(357\) −1.69243 + 1.18505i −0.0895727 + 0.0627195i
\(358\) −4.13036 8.85759i −0.218296 0.468138i
\(359\) 2.01609 + 2.40269i 0.106405 + 0.126809i 0.816619 0.577178i \(-0.195846\pi\)
−0.710213 + 0.703987i \(0.751402\pi\)
\(360\) 1.96527 + 1.06663i 0.103579 + 0.0562165i
\(361\) −9.57739 + 16.4096i −0.504073 + 0.863661i
\(362\) −5.25349 + 5.25349i −0.276117 + 0.276117i
\(363\) 0.365208 4.17435i 0.0191685 0.219096i
\(364\) 3.29256 + 1.19839i 0.172577 + 0.0628129i
\(365\) 6.12498 7.70278i 0.320596 0.403182i
\(366\) 1.78456 + 10.1207i 0.0932804 + 0.529020i
\(367\) −1.42950 + 3.06557i −0.0746192 + 0.160021i −0.940079 0.340957i \(-0.889249\pi\)
0.865460 + 0.500979i \(0.167027\pi\)
\(368\) −1.74795 + 0.468362i −0.0911182 + 0.0244150i
\(369\) −5.85457 10.1404i −0.304777 0.527889i
\(370\) −5.26752 + 12.1200i −0.273846 + 0.630088i
\(371\) 10.7011 12.7531i 0.555574 0.662108i
\(372\) −7.59212 2.03430i −0.393633 0.105474i
\(373\) 0.814995 + 3.04160i 0.0421988 + 0.157488i 0.983810 0.179214i \(-0.0573553\pi\)
−0.941611 + 0.336702i \(0.890689\pi\)
\(374\) 3.32691 1.21090i 0.172030 0.0626139i
\(375\) −10.8228 + 2.80473i −0.558888 + 0.144836i
\(376\) −2.32851 0.410579i −0.120084 0.0211740i
\(377\) −2.84038 + 1.32449i −0.146287 + 0.0682149i
\(378\) 1.51705 + 0.132724i 0.0780284 + 0.00682660i
\(379\) 5.11204 0.262588 0.131294 0.991343i \(-0.458087\pi\)
0.131294 + 0.991343i \(0.458087\pi\)
\(380\) −6.72471 + 7.05537i −0.344970 + 0.361933i
\(381\) 2.97748 0.152541
\(382\) −13.7736 1.20503i −0.704719 0.0616549i
\(383\) 13.5037 6.29686i 0.690004 0.321754i −0.0457979 0.998951i \(-0.514583\pi\)
0.735802 + 0.677196i \(0.236805\pi\)
\(384\) 0.984808 + 0.173648i 0.0502558 + 0.00886145i
\(385\) 8.42722 + 2.81815i 0.429491 + 0.143626i
\(386\) 24.7583 9.01129i 1.26017 0.458663i
\(387\) −2.02568 7.55992i −0.102971 0.384292i
\(388\) 11.9860 + 3.21164i 0.608497 + 0.163046i
\(389\) 15.5406 18.5206i 0.787942 0.939033i −0.211321 0.977417i \(-0.567777\pi\)
0.999263 + 0.0383841i \(0.0122210\pi\)
\(390\) 4.78661 1.88641i 0.242379 0.0955223i
\(391\) −1.22757 2.12621i −0.0620808 0.107527i
\(392\) 4.52146 1.21152i 0.228368 0.0611910i
\(393\) −1.61786 + 3.46951i −0.0816101 + 0.175013i
\(394\) 1.44135 + 8.17428i 0.0726140 + 0.411814i
\(395\) −1.94304 17.0287i −0.0977649 0.856805i
\(396\) −2.45217 0.892516i −0.123226 0.0448506i
\(397\) 0.893081 10.2080i 0.0448224 0.512323i −0.940286 0.340386i \(-0.889442\pi\)
0.985108 0.171936i \(-0.0550024\pi\)
\(398\) −12.3690 + 12.3690i −0.620004 + 0.620004i
\(399\) −2.28498 + 6.23223i −0.114392 + 0.312002i
\(400\) −4.19245 + 2.72459i −0.209622 + 0.136229i
\(401\) 17.0688 + 20.3419i 0.852377 + 1.01582i 0.999643 + 0.0267267i \(0.00850840\pi\)
−0.147265 + 0.989097i \(0.547047\pi\)
\(402\) −2.72657 5.84716i −0.135989 0.291630i
\(403\) −14.8142 + 10.3730i −0.737946 + 0.516715i
\(404\) −0.714456 + 0.125978i −0.0355455 + 0.00626763i
\(405\) 1.79726 1.33036i 0.0893064 0.0661063i
\(406\) 1.03713 1.79636i 0.0514718 0.0891518i
\(407\) 3.99161 14.8969i 0.197857 0.738412i
\(408\) 0.118246 + 1.35156i 0.00585406 + 0.0669122i
\(409\) −16.8871 14.1700i −0.835015 0.700660i 0.121422 0.992601i \(-0.461255\pi\)
−0.956436 + 0.291941i \(0.905699\pi\)
\(410\) 26.1733 0.689728i 1.29261 0.0340632i
\(411\) 3.58793 + 2.07149i 0.176980 + 0.102179i
\(412\) 3.07280 + 1.43287i 0.151386 + 0.0705924i
\(413\) −9.23211 6.46439i −0.454282 0.318092i
\(414\) −0.314236 + 1.78212i −0.0154438 + 0.0875863i
\(415\) −20.2314 22.8598i −0.993120 1.12214i
\(416\) 1.76257 1.47897i 0.0864173 0.0725127i
\(417\) 5.62627 + 5.62627i 0.275520 + 0.275520i
\(418\) 6.54620 9.30224i 0.320185 0.454987i
\(419\) 15.0522i 0.735348i −0.929955 0.367674i \(-0.880154\pi\)
0.929955 0.367674i \(-0.119846\pi\)
\(420\) −1.87897 + 2.83984i −0.0916843 + 0.138570i
\(421\) −0.916308 + 2.51754i −0.0446581 + 0.122697i −0.960017 0.279942i \(-0.909685\pi\)
0.915359 + 0.402639i \(0.131907\pi\)
\(422\) −10.8220 15.4555i −0.526808 0.752360i
\(423\) −1.35618 + 1.93683i −0.0659397 + 0.0941717i
\(424\) −3.73903 10.2729i −0.181583 0.498896i
\(425\) −5.04271 4.53744i −0.244608 0.220098i
\(426\) −4.22085 + 2.43691i −0.204501 + 0.118069i
\(427\) −15.5905 + 1.36399i −0.754476 + 0.0660081i
\(428\) −0.252192 + 0.0220640i −0.0121902 + 0.00106650i
\(429\) −5.19982 + 3.00212i −0.251050 + 0.144944i
\(430\) 17.0180 + 4.08266i 0.820679 + 0.196883i
\(431\) 10.9992 + 30.2201i 0.529813 + 1.45565i 0.859291 + 0.511487i \(0.170905\pi\)
−0.329478 + 0.944163i \(0.606873\pi\)
\(432\) 0.573576 0.819152i 0.0275962 0.0394115i
\(433\) 9.13877 + 13.0515i 0.439181 + 0.627216i 0.976334 0.216269i \(-0.0693889\pi\)
−0.537152 + 0.843485i \(0.680500\pi\)
\(434\) 4.09379 11.2476i 0.196508 0.539902i
\(435\) −0.607719 2.98450i −0.0291379 0.143096i
\(436\) 1.32178i 0.0633016i
\(437\) −7.14100 3.35040i −0.341601 0.160271i
\(438\) −3.11204 3.11204i −0.148699 0.148699i
\(439\) 7.67379 6.43908i 0.366250 0.307320i −0.441026 0.897494i \(-0.645385\pi\)
0.807276 + 0.590174i \(0.200941\pi\)
\(440\) 4.36960 3.86719i 0.208312 0.184361i
\(441\) 0.812840 4.60984i 0.0387066 0.219516i
\(442\) 2.55711 + 1.79050i 0.121629 + 0.0851656i
\(443\) 16.0034 + 7.46250i 0.760344 + 0.354554i 0.763811 0.645440i \(-0.223326\pi\)
−0.00346713 + 0.999994i \(0.501104\pi\)
\(444\) 5.11822 + 2.95500i 0.242900 + 0.140238i
\(445\) −13.3898 12.7022i −0.634738 0.602144i
\(446\) 5.00774 + 4.20199i 0.237123 + 0.198970i
\(447\) 0.539582 + 6.16745i 0.0255214 + 0.291710i
\(448\) −0.394140 + 1.47095i −0.0186214 + 0.0694959i
\(449\) −8.90508 + 15.4241i −0.420257 + 0.727906i −0.995964 0.0897494i \(-0.971393\pi\)
0.575707 + 0.817656i \(0.304727\pi\)
\(450\) 0.697512 + 4.95111i 0.0328810 + 0.233398i
\(451\) −30.0913 + 5.30590i −1.41694 + 0.249845i
\(452\) −4.90591 + 3.43516i −0.230755 + 0.161576i
\(453\) 4.31698 + 9.25780i 0.202830 + 0.434969i
\(454\) 6.11668 + 7.28957i 0.287070 + 0.342116i
\(455\) 2.22648 + 7.51187i 0.104379 + 0.352162i
\(456\) 2.79397 + 3.34570i 0.130840 + 0.156677i
\(457\) −13.3190 + 13.3190i −0.623035 + 0.623035i −0.946306 0.323271i \(-0.895217\pi\)
0.323271 + 0.946306i \(0.395217\pi\)
\(458\) −1.21647 + 13.9043i −0.0568419 + 0.649705i
\(459\) 1.27490 + 0.464026i 0.0595073 + 0.0216589i
\(460\) −3.16717 2.51842i −0.147670 0.117422i
\(461\) 1.68855 + 9.57623i 0.0786435 + 0.446010i 0.998548 + 0.0538673i \(0.0171548\pi\)
−0.919905 + 0.392142i \(0.871734\pi\)
\(462\) 1.67945 3.60159i 0.0781350 0.167561i
\(463\) 24.7372 6.62832i 1.14964 0.308044i 0.366817 0.930293i \(-0.380447\pi\)
0.782820 + 0.622249i \(0.213781\pi\)
\(464\) −0.681049 1.17961i −0.0316169 0.0547620i
\(465\) −6.44411 16.3514i −0.298838 0.758276i
\(466\) −10.8221 + 12.8973i −0.501326 + 0.597457i
\(467\) −21.3062 5.70897i −0.985932 0.264180i −0.270391 0.962751i \(-0.587153\pi\)
−0.715541 + 0.698571i \(0.753820\pi\)
\(468\) −0.595511 2.22248i −0.0275275 0.102734i
\(469\) 9.23229 3.36028i 0.426307 0.155163i
\(470\) −2.35984 4.73114i −0.108851 0.218231i
\(471\) 17.2999 + 3.05044i 0.797138 + 0.140557i
\(472\) −6.70745 + 3.12774i −0.308736 + 0.143966i
\(473\) −20.3461 1.78006i −0.935516 0.0818471i
\(474\) −7.66486 −0.352059
\(475\) −21.6266 2.69982i −0.992298 0.123876i
\(476\) −2.06607 −0.0946982
\(477\) −10.8906 0.952803i −0.498646 0.0436259i
\(478\) −22.9042 + 10.6804i −1.04761 + 0.488510i
\(479\) 15.6282 + 2.75567i 0.714070 + 0.125910i 0.518869 0.854854i \(-0.326353\pi\)
0.195200 + 0.980763i \(0.437464\pi\)
\(480\) 0.998061 + 2.00097i 0.0455551 + 0.0913313i
\(481\) 12.7781 4.65086i 0.582632 0.212061i
\(482\) 5.92268 + 22.1037i 0.269771 + 1.00680i
\(483\) −2.66185 0.713240i −0.121118 0.0324535i
\(484\) 2.69347 3.20995i 0.122430 0.145907i
\(485\) 10.1736 + 25.8146i 0.461959 + 1.17218i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) −16.6831 + 4.47023i −0.755985 + 0.202565i −0.616171 0.787612i \(-0.711317\pi\)
−0.139814 + 0.990178i \(0.544650\pi\)
\(488\) −4.34319 + 9.31401i −0.196607 + 0.421625i
\(489\) −3.59960 20.4144i −0.162780 0.923169i
\(490\) 8.19259 + 6.51446i 0.370104 + 0.294293i
\(491\) −32.0550 11.6671i −1.44662 0.526527i −0.504975 0.863134i \(-0.668498\pi\)
−0.941645 + 0.336607i \(0.890720\pi\)
\(492\) 1.02052 11.6646i 0.0460085 0.525880i
\(493\) 1.30672 1.30672i 0.0588519 0.0588519i
\(494\) 10.0293 + 0.0236186i 0.451238 + 0.00106265i
\(495\) −1.65819 5.59454i −0.0745302 0.251456i
\(496\) −5.05227 6.02106i −0.226854 0.270354i
\(497\) −3.13669 6.72666i −0.140700 0.301732i
\(498\) −11.1830 + 7.83043i −0.501123 + 0.350890i
\(499\) 2.15866 0.380630i 0.0966350 0.0170394i −0.125122 0.992141i \(-0.539932\pi\)
0.221757 + 0.975102i \(0.428821\pi\)
\(500\) −10.4743 3.91021i −0.468423 0.174870i
\(501\) 10.5721 18.3114i 0.472327 0.818095i
\(502\) 3.21706 12.0062i 0.143584 0.535864i
\(503\) 2.64269 + 30.2060i 0.117832 + 1.34682i 0.793029 + 0.609184i \(0.208503\pi\)
−0.675198 + 0.737637i \(0.735942\pi\)
\(504\) 1.16656 + 0.978863i 0.0519629 + 0.0436020i
\(505\) −1.17690 1.11647i −0.0523714 0.0496820i
\(506\) 4.08959 + 2.36113i 0.181805 + 0.104965i
\(507\) 6.98398 + 3.25668i 0.310169 + 0.144634i
\(508\) 2.43901 + 1.70781i 0.108214 + 0.0757720i
\(509\) 3.90440 22.1430i 0.173060 0.981470i −0.767300 0.641288i \(-0.778400\pi\)
0.940360 0.340182i \(-0.110489\pi\)
\(510\) −2.27179 + 2.01058i −0.100597 + 0.0890301i
\(511\) 5.13416 4.30807i 0.227122 0.190578i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 4.21302 1.11825i 0.186009 0.0493718i
\(514\) 2.26075i 0.0997173i
\(515\) 1.51270 + 7.42885i 0.0666576 + 0.327354i
\(516\) 2.67686 7.35461i 0.117842 0.323768i
\(517\) 3.53901 + 5.05423i 0.155645 + 0.222285i
\(518\) −5.16219 + 7.37237i −0.226813 + 0.323923i
\(519\) −1.54034 4.23204i −0.0676133 0.185766i
\(520\) 5.00296 + 1.20022i 0.219394 + 0.0526333i
\(521\) 29.2828 16.9064i 1.28290 0.740683i 0.305523 0.952185i \(-0.401169\pi\)
0.977378 + 0.211502i \(0.0678354\pi\)
\(522\) −1.35691 + 0.118715i −0.0593905 + 0.00519600i
\(523\) −31.7555 + 2.77824i −1.38857 + 0.121484i −0.756787 0.653661i \(-0.773232\pi\)
−0.631783 + 0.775145i \(0.717677\pi\)
\(524\) −3.31530 + 1.91409i −0.144829 + 0.0836173i
\(525\) −7.60363 + 0.401025i −0.331850 + 0.0175022i
\(526\) −0.979670 2.69162i −0.0427156 0.117360i
\(527\) 6.11648 8.73524i 0.266438 0.380513i
\(528\) −1.49677 2.13761i −0.0651386 0.0930276i
\(529\) −6.74645 + 18.5357i −0.293324 + 0.805901i
\(530\) 13.4888 20.3867i 0.585915 0.885541i
\(531\) 7.40086i 0.321170i
\(532\) −5.44641 + 3.79453i −0.236132 + 0.164514i
\(533\) −19.0504 19.0504i −0.825163 0.825163i
\(534\) −6.32285 + 5.30550i −0.273616 + 0.229592i
\(535\) −0.375162 0.423902i −0.0162197 0.0183269i
\(536\) 1.12031 6.35361i 0.0483901 0.274434i
\(537\) −8.00579 5.60572i −0.345476 0.241905i
\(538\) 17.6440 + 8.22752i 0.760685 + 0.354713i
\(539\) −10.5786 6.10757i −0.455654 0.263072i
\(540\) 2.23529 0.0589051i 0.0961917 0.00253487i
\(541\) −13.3462 11.1988i −0.573800 0.481475i 0.309105 0.951028i \(-0.399971\pi\)
−0.882904 + 0.469553i \(0.844415\pi\)
\(542\) −0.0774449 0.885199i −0.00332654 0.0380225i
\(543\) −1.92291 + 7.17640i −0.0825200 + 0.307969i
\(544\) −0.678361 + 1.17496i −0.0290845 + 0.0503758i
\(545\) 2.37557 1.75844i 0.101758 0.0753234i
\(546\) 3.45064 0.608440i 0.147674 0.0260388i
\(547\) −15.6040 + 10.9261i −0.667180 + 0.467164i −0.857450 0.514567i \(-0.827953\pi\)
0.190270 + 0.981732i \(0.439064\pi\)
\(548\) 1.75090 + 3.75482i 0.0747948 + 0.160398i
\(549\) 6.60584 + 7.87254i 0.281931 + 0.335992i
\(550\) 12.7635 + 2.70853i 0.544237 + 0.115492i
\(551\) 1.04476 5.84460i 0.0445082 0.248988i
\(552\) −1.27959 + 1.27959i −0.0544629 + 0.0544629i
\(553\) 1.01731 11.6279i 0.0432606 0.494471i
\(554\) −25.9318 9.43842i −1.10174 0.401000i
\(555\) 1.49818 + 13.1300i 0.0635944 + 0.557337i
\(556\) 1.38167 + 7.83587i 0.0585961 + 0.332315i
\(557\) 9.25371 19.8447i 0.392092 0.840845i −0.606848 0.794818i \(-0.707566\pi\)
0.998940 0.0460268i \(-0.0146560\pi\)
\(558\) −7.59212 + 2.03430i −0.321400 + 0.0861189i
\(559\) −9.00403 15.5954i −0.380830 0.659617i
\(560\) −3.16803 + 1.24853i −0.133874 + 0.0527599i
\(561\) 2.27574 2.71212i 0.0960818 0.114506i
\(562\) −3.29489 0.882862i −0.138986 0.0372413i
\(563\) −7.02983 26.2357i −0.296272 1.10570i −0.940202 0.340617i \(-0.889364\pi\)
0.643930 0.765084i \(-0.277303\pi\)
\(564\) −2.22183 + 0.808682i −0.0935561 + 0.0340516i
\(565\) −12.7005 4.24718i −0.534314 0.178680i
\(566\) 26.7990 + 4.72538i 1.12645 + 0.198623i
\(567\) 1.38016 0.643580i 0.0579614 0.0270278i
\(568\) −4.85527 0.424781i −0.203723 0.0178234i
\(569\) −25.7340 −1.07883 −0.539413 0.842041i \(-0.681354\pi\)
−0.539413 + 0.842041i \(0.681354\pi\)
\(570\) −2.29608 + 9.47249i −0.0961723 + 0.396759i
\(571\) −46.0053 −1.92526 −0.962630 0.270819i \(-0.912705\pi\)
−0.962630 + 0.270819i \(0.912705\pi\)
\(572\) −5.98138 0.523303i −0.250094 0.0218804i
\(573\) −12.5308 + 5.84321i −0.523482 + 0.244104i
\(574\) 17.5602 + 3.09635i 0.732951 + 0.129239i
\(575\) 0.312765 9.04264i 0.0130432 0.377104i
\(576\) 0.939693 0.342020i 0.0391539 0.0142508i
\(577\) −6.60077 24.6344i −0.274794 1.02554i −0.955979 0.293434i \(-0.905202\pi\)
0.681186 0.732111i \(-0.261465\pi\)
\(578\) 14.6428 + 3.92352i 0.609059 + 0.163197i
\(579\) 16.9357 20.1832i 0.703823 0.838784i
\(580\) 1.21402 2.79333i 0.0504095 0.115987i
\(581\) −10.3949 18.0044i −0.431252 0.746950i
\(582\) 11.9860 3.21164i 0.496836 0.133127i
\(583\) −12.0565 + 25.8552i −0.499328 + 1.07081i
\(584\) −0.764242 4.33423i −0.0316246 0.179352i
\(585\) 3.20212 4.02699i 0.132391 0.166495i
\(586\) 22.4680 + 8.17769i 0.928145 + 0.337817i
\(587\) −0.128520 + 1.46899i −0.00530460 + 0.0606319i −0.998386 0.0567994i \(-0.981910\pi\)
0.993081 + 0.117431i \(0.0374660\pi\)
\(588\) 3.30994 3.30994i 0.136499 0.136499i
\(589\) 0.0806826 34.2606i 0.00332447 1.41168i
\(590\) −14.5447 7.89400i −0.598796 0.324991i
\(591\) 5.33538 + 6.35846i 0.219468 + 0.261552i
\(592\) 2.49768 + 5.35629i 0.102654 + 0.220142i
\(593\) −12.0542 + 8.44043i −0.495006 + 0.346607i −0.794272 0.607563i \(-0.792147\pi\)
0.299265 + 0.954170i \(0.403258\pi\)
\(594\) −2.56990 + 0.453142i −0.105444 + 0.0185926i
\(595\) −2.74863 3.71326i −0.112683 0.152229i
\(596\) −3.09551 + 5.36157i −0.126797 + 0.219619i
\(597\) −4.52738 + 16.8964i −0.185293 + 0.691524i
\(598\) 0.362889 + 4.14785i 0.0148397 + 0.169618i
\(599\) −0.558874 0.468951i −0.0228350 0.0191608i 0.631299 0.775540i \(-0.282522\pi\)
−0.654134 + 0.756379i \(0.726967\pi\)
\(600\) −2.26847 + 4.45579i −0.0926099 + 0.181907i
\(601\) 32.1918 + 18.5860i 1.31313 + 0.758137i 0.982614 0.185663i \(-0.0594432\pi\)
0.330518 + 0.943800i \(0.392776\pi\)
\(602\) 10.8020 + 5.03705i 0.440256 + 0.205295i
\(603\) −5.28486 3.70050i −0.215216 0.150696i
\(604\) −1.77379 + 10.0597i −0.0721745 + 0.409322i
\(605\) 9.35240 + 0.570456i 0.380229 + 0.0231924i
\(606\) −0.555748 + 0.466328i −0.0225757 + 0.0189433i
\(607\) −11.6551 11.6551i −0.473067 0.473067i 0.429839 0.902906i \(-0.358570\pi\)
−0.902906 + 0.429839i \(0.858570\pi\)
\(608\) 0.369676 + 4.34319i 0.0149923 + 0.176140i
\(609\) 2.07426i 0.0840531i
\(610\) −22.5177 + 4.58518i −0.911715 + 0.185648i
\(611\) −1.86068 + 5.11217i −0.0752749 + 0.206816i
\(612\) 0.778184 + 1.11136i 0.0314562 + 0.0449241i
\(613\) −12.6904 + 18.1238i −0.512562 + 0.732014i −0.989117 0.147131i \(-0.952996\pi\)
0.476555 + 0.879144i \(0.341885\pi\)
\(614\) −8.64161 23.7426i −0.348747 0.958175i
\(615\) 22.3219 13.6840i 0.900106 0.551792i
\(616\) 3.44151 1.98696i 0.138662 0.0800568i
\(617\) −19.1365 + 1.67423i −0.770407 + 0.0674019i −0.465580 0.885006i \(-0.654154\pi\)
−0.304827 + 0.952408i \(0.598599\pi\)
\(618\) 3.37756 0.295498i 0.135865 0.0118867i
\(619\) −7.69314 + 4.44164i −0.309213 + 0.178524i −0.646574 0.762851i \(-0.723799\pi\)
0.337361 + 0.941375i \(0.390466\pi\)
\(620\) 4.10004 17.0904i 0.164662 0.686368i
\(621\) 0.618923 + 1.70048i 0.0248365 + 0.0682378i
\(622\) 6.87322 9.81597i 0.275591 0.393585i
\(623\) −7.20949 10.2962i −0.288842 0.412509i
\(624\) 0.786946 2.16212i 0.0315031 0.0865539i
\(625\) −6.90692 24.0270i −0.276277 0.961078i
\(626\) 7.33233i 0.293059i
\(627\) 1.01806 11.3291i 0.0406572 0.452440i
\(628\) 12.4216 + 12.4216i 0.495676 + 0.495676i
\(629\) −6.14233 + 5.15402i −0.244911 + 0.205504i
\(630\) −0.207316 + 3.39886i −0.00825966 + 0.135414i
\(631\) −1.35263 + 7.67114i −0.0538473 + 0.305383i −0.999822 0.0188567i \(-0.993997\pi\)
0.945975 + 0.324240i \(0.105108\pi\)
\(632\) −6.27869 4.39638i −0.249753 0.174879i
\(633\) −17.0999 7.97380i −0.679659 0.316930i
\(634\) 25.2762 + 14.5932i 1.00385 + 0.579571i
\(635\) 0.175389 + 6.65554i 0.00696010 + 0.264117i
\(636\) −8.37455 7.02708i −0.332072 0.278642i
\(637\) −0.938694 10.7293i −0.0371924 0.425111i
\(638\) −0.919959 + 3.43333i −0.0364215 + 0.135927i
\(639\) −2.43691 + 4.22085i −0.0964026 + 0.166974i
\(640\) −0.330144 + 2.21156i −0.0130501 + 0.0874196i
\(641\) −3.25927 + 0.574697i −0.128733 + 0.0226992i −0.237644 0.971352i \(-0.576375\pi\)
0.108910 + 0.994052i \(0.465264\pi\)
\(642\) −0.207373 + 0.145204i −0.00818436 + 0.00573075i
\(643\) −6.76147 14.5000i −0.266647 0.571825i 0.726705 0.686950i \(-0.241051\pi\)
−0.993351 + 0.115125i \(0.963273\pi\)
\(644\) −1.77136 2.11103i −0.0698014 0.0831861i
\(645\) 16.7793 4.97329i 0.660685 0.195823i
\(646\) −5.56192 + 2.00955i −0.218831 + 0.0790647i
\(647\) −27.6979 + 27.6979i −1.08891 + 1.08891i −0.0932744 + 0.995640i \(0.529733\pi\)
−0.995640 + 0.0932744i \(0.970267\pi\)
\(648\) 0.0871557 0.996195i 0.00342380 0.0391342i
\(649\) 18.1481 + 6.60538i 0.712377 + 0.259284i
\(650\) 4.49864 + 10.5883i 0.176451 + 0.415309i
\(651\) −2.07847 11.7876i −0.0814617 0.461992i
\(652\) 8.76057 18.7871i 0.343090 0.735760i
\(653\) −23.7637 + 6.36746i −0.929944 + 0.249178i −0.691831 0.722060i \(-0.743196\pi\)
−0.238113 + 0.971237i \(0.576529\pi\)
\(654\) −0.660889 1.14469i −0.0258428 0.0447610i
\(655\) −7.85066 3.41201i −0.306751 0.133318i
\(656\) 7.52649 8.96972i 0.293860 0.350209i
\(657\) −4.25113 1.13909i −0.165852 0.0444400i
\(658\) −0.931916 3.47796i −0.0363299 0.135585i
\(659\) 25.1578 9.15669i 0.980009 0.356694i 0.198165 0.980169i \(-0.436502\pi\)
0.781844 + 0.623475i \(0.214280\pi\)
\(660\) 1.85059 5.53388i 0.0720340 0.215406i
\(661\) 33.1090 + 5.83801i 1.28779 + 0.227072i 0.775285 0.631611i \(-0.217606\pi\)
0.512506 + 0.858684i \(0.328717\pi\)
\(662\) −30.4708 + 14.2087i −1.18428 + 0.552239i
\(663\) 3.10977 + 0.272070i 0.120774 + 0.0105663i
\(664\) −13.6519 −0.529798
\(665\) −14.0654 4.74049i −0.545435 0.183828i
\(666\) 5.91001 0.229008
\(667\) 2.45549 + 0.214827i 0.0950768 + 0.00831814i
\(668\) 19.1632 8.93594i 0.741446 0.345742i
\(669\) 6.43782 + 1.13516i 0.248901 + 0.0438879i
\(670\) 12.9095 6.43912i 0.498737 0.248765i
\(671\) 25.2006 9.17227i 0.972858 0.354091i
\(672\) 0.394140 + 1.47095i 0.0152043 + 0.0567432i
\(673\) −11.1781 2.99517i −0.430885 0.115455i 0.0368564 0.999321i \(-0.488266\pi\)
−0.467742 + 0.883865i \(0.654932\pi\)
\(674\) −9.71769 + 11.5811i −0.374312 + 0.446087i
\(675\) 3.07962 + 3.93903i 0.118535 + 0.151613i
\(676\) 3.85298 + 6.67356i 0.148192 + 0.256676i
\(677\) −30.2549 + 8.10679i −1.16279 + 0.311569i −0.788080 0.615572i \(-0.788925\pi\)
−0.374711 + 0.927141i \(0.622258\pi\)
\(678\) −2.53107 + 5.42789i −0.0972050 + 0.208457i
\(679\) 3.28137 + 18.6096i 0.125927 + 0.714170i
\(680\) −3.01416 + 0.343928i −0.115588 + 0.0131891i
\(681\) 8.94198 + 3.25462i 0.342657 + 0.124717i
\(682\) −1.78764 + 20.4328i −0.0684522 + 0.782412i
\(683\) −7.56608 + 7.56608i −0.289508 + 0.289508i −0.836886 0.547378i \(-0.815626\pi\)
0.547378 + 0.836886i \(0.315626\pi\)
\(684\) 4.09250 + 1.50047i 0.156481 + 0.0573720i
\(685\) −4.41904 + 8.14210i −0.168843 + 0.311093i
\(686\) 11.4341 + 13.6266i 0.436554 + 0.520265i
\(687\) 5.89866 + 12.6497i 0.225048 + 0.482617i
\(688\) 6.41118 4.48916i 0.244424 0.171148i
\(689\) −24.7715 + 4.36788i −0.943719 + 0.166403i
\(690\) −4.00207 0.597432i −0.152356 0.0227439i
\(691\) 13.5726 23.5084i 0.516326 0.894304i −0.483494 0.875348i \(-0.660632\pi\)
0.999820 0.0189559i \(-0.00603420\pi\)
\(692\) 1.16563 4.35019i 0.0443106 0.165369i
\(693\) −0.346350 3.95879i −0.0131567 0.150382i
\(694\) 21.9295 + 18.4010i 0.832431 + 0.698492i
\(695\) −12.2449 + 12.9078i −0.464477 + 0.489620i
\(696\) −1.17961 0.681049i −0.0447130 0.0258151i
\(697\) 14.3976 + 6.71373i 0.545350 + 0.254301i
\(698\) −0.897795 0.628643i −0.0339820 0.0237945i
\(699\) −2.92359 + 16.5805i −0.110580 + 0.627132i
\(700\) −6.45855 4.03277i −0.244110 0.152424i
\(701\) −17.5107 + 14.6932i −0.661369 + 0.554954i −0.910497 0.413516i \(-0.864300\pi\)
0.249128 + 0.968471i \(0.419856\pi\)
\(702\) −1.62697 1.62697i −0.0614058 0.0614058i
\(703\) −6.72605 + 24.8676i −0.253678 + 0.937898i
\(704\) 2.60954i 0.0983508i
\(705\) −4.40926 2.91737i −0.166062 0.109874i
\(706\) 10.5457 28.9740i 0.396892 1.09045i
\(707\) −0.633680 0.904988i −0.0238320 0.0340356i
\(708\) −4.24496 + 6.06243i −0.159535 + 0.227840i
\(709\) −13.9788 38.4065i −0.524985 1.44239i −0.864907 0.501932i \(-0.832623\pi\)
0.339922 0.940454i \(-0.389599\pi\)
\(710\) −5.69583 9.29128i −0.213761 0.348696i
\(711\) −6.63797 + 3.83243i −0.248943 + 0.143727i
\(712\) −8.22249 + 0.719374i −0.308151 + 0.0269597i
\(713\) 14.1693 1.23965i 0.530645 0.0464254i
\(714\) −1.78927 + 1.03304i −0.0669618 + 0.0386604i
\(715\) −7.01690 11.4463i −0.262417 0.428066i
\(716\) −3.34266 9.18387i −0.124921 0.343217i
\(717\) −14.4954 + 20.7016i −0.541341 + 0.773116i
\(718\) 1.79901 + 2.56926i 0.0671386 + 0.0958838i
\(719\) −11.3892 + 31.2916i −0.424746 + 1.16698i 0.524214 + 0.851586i \(0.324359\pi\)
−0.948961 + 0.315394i \(0.897863\pi\)
\(720\) 1.86483 + 1.23386i 0.0694981 + 0.0459832i
\(721\) 5.16313i 0.192285i
\(722\) −10.9711 + 15.5124i −0.408303 + 0.577311i
\(723\) 16.1811 + 16.1811i 0.601780 + 0.601780i
\(724\) −5.69137 + 4.77563i −0.211518 + 0.177485i
\(725\) 6.63542 1.53423i 0.246433 0.0569800i
\(726\) 0.727637 4.12663i 0.0270051 0.153154i
\(727\) 18.7658 + 13.1400i 0.695986 + 0.487335i 0.867239 0.497892i \(-0.165892\pi\)
−0.171252 + 0.985227i \(0.554781\pi\)
\(728\) 3.17558 + 1.48080i 0.117695 + 0.0548820i
\(729\) −0.866025 0.500000i −0.0320750 0.0185185i
\(730\) 6.77301 7.13964i 0.250680 0.264250i
\(731\) 8.13427 + 6.82546i 0.300857 + 0.252449i
\(732\) 0.895688 + 10.2378i 0.0331056 + 0.378399i
\(733\) 0.946470 3.53227i 0.0349587 0.130467i −0.946241 0.323462i \(-0.895153\pi\)
0.981200 + 0.192994i \(0.0618199\pi\)
\(734\) −1.69124 + 2.92931i −0.0624248 + 0.108123i
\(735\) 10.3522 + 1.54539i 0.381848 + 0.0570026i
\(736\) −1.78212 + 0.314236i −0.0656898 + 0.0115829i
\(737\) −13.7911 + 9.65661i −0.508000 + 0.355706i
\(738\) −4.94849 10.6121i −0.182157 0.390636i
\(739\) −13.5906 16.1967i −0.499939 0.595804i 0.455777 0.890094i \(-0.349361\pi\)
−0.955716 + 0.294290i \(0.904917\pi\)
\(740\) −6.30381 + 11.6148i −0.231733 + 0.426968i
\(741\) 8.69740 4.99418i 0.319507 0.183466i
\(742\) 11.7719 11.7719i 0.432160 0.432160i
\(743\) −0.0324582 + 0.370999i −0.00119077 + 0.0136106i −0.996767 0.0803484i \(-0.974397\pi\)
0.995576 + 0.0939590i \(0.0299523\pi\)
\(744\) −7.38593 2.68826i −0.270781 0.0985563i
\(745\) −13.7543 + 1.56942i −0.503918 + 0.0574990i
\(746\) 0.546800 + 3.10106i 0.0200198 + 0.113538i
\(747\) −5.76956 + 12.3729i −0.211097 + 0.452699i
\(748\) 3.41979 0.916329i 0.125040 0.0335043i
\(749\) −0.192758 0.333867i −0.00704322 0.0121992i
\(750\) −11.0261 + 1.85079i −0.402616 + 0.0675812i
\(751\) 27.5664 32.8524i 1.00591 1.19880i 0.0259418 0.999663i \(-0.491742\pi\)
0.979972 0.199137i \(-0.0638140\pi\)
\(752\) −2.28386 0.611959i −0.0832839 0.0223158i
\(753\) −3.21706 12.0062i −0.117236 0.437531i
\(754\) −2.94501 + 1.07190i −0.107251 + 0.0390362i
\(755\) −20.4396 + 10.1951i −0.743873 + 0.371036i
\(756\) 1.49971 + 0.264438i 0.0545437 + 0.00961753i
\(757\) −0.895830 + 0.417733i −0.0325595 + 0.0151827i −0.438830 0.898570i \(-0.644607\pi\)
0.406270 + 0.913753i \(0.366829\pi\)
\(758\) 5.09259 + 0.445544i 0.184971 + 0.0161829i
\(759\) 4.72225 0.171407
\(760\) −7.31404 + 6.44243i −0.265308 + 0.233691i
\(761\) 5.06745 0.183695 0.0918475 0.995773i \(-0.470723\pi\)
0.0918475 + 0.995773i \(0.470723\pi\)
\(762\) 2.96615 + 0.259505i 0.107452 + 0.00940086i
\(763\) 1.82427 0.850670i 0.0660429 0.0307963i
\(764\) −13.6162 2.40090i −0.492615 0.0868614i
\(765\) −0.962136 + 2.87711i −0.0347861 + 0.104022i
\(766\) 14.0011 5.09597i 0.505879 0.184125i
\(767\) 4.40729 + 16.4482i 0.159138 + 0.593911i
\(768\) 0.965926 + 0.258819i 0.0348548 + 0.00933933i
\(769\) 31.4025 37.4240i 1.13240 1.34954i 0.203563 0.979062i \(-0.434748\pi\)
0.928839 0.370483i \(-0.120808\pi\)
\(770\) 8.14953 + 3.54191i 0.293689 + 0.127641i
\(771\) −1.13037 1.95786i −0.0407094 0.0705108i
\(772\) 25.4495 6.81917i 0.915947 0.245427i
\(773\) 23.4769 50.3464i 0.844405 1.81083i 0.382020 0.924154i \(-0.375229\pi\)
0.462385 0.886679i \(-0.346994\pi\)
\(774\) −1.35908 7.70770i −0.0488510 0.277048i
\(775\) 36.1705 15.3676i 1.29928 0.552022i
\(776\) 11.6605 + 4.24407i 0.418587 + 0.152353i
\(777\) −0.784402 + 8.96575i −0.0281402 + 0.321645i
\(778\) 17.0957 17.0957i 0.612910 0.612910i
\(779\) 50.2843 8.74442i 1.80162 0.313302i
\(780\) 4.93280 1.46206i 0.176623 0.0523500i
\(781\) 8.17525 + 9.74288i 0.292533 + 0.348628i
\(782\) −1.03759 2.22511i −0.0371040 0.0795698i
\(783\) −1.11576 + 0.781267i −0.0398742 + 0.0279202i
\(784\) 4.60984 0.812840i 0.164637 0.0290300i
\(785\) −5.79957 + 38.8500i −0.206996 + 1.38662i
\(786\) −1.91409 + 3.31530i −0.0682733 + 0.118253i
\(787\) −7.84380 + 29.2735i −0.279601 + 1.04349i 0.673093 + 0.739558i \(0.264965\pi\)
−0.952695 + 0.303929i \(0.901701\pi\)
\(788\) 0.723426 + 8.26880i 0.0257710 + 0.294564i
\(789\) −2.19423 1.84118i −0.0781166 0.0655476i
\(790\) −0.451500 17.1332i −0.0160636 0.609572i
\(791\) −7.89842 4.56016i −0.280836 0.162141i
\(792\) −2.36505 1.10284i −0.0840383 0.0391877i
\(793\) 19.3695 + 13.5627i 0.687832 + 0.481625i
\(794\) 1.77936 10.0913i 0.0631473 0.358126i
\(795\) 1.48828 24.3998i 0.0527839 0.865371i
\(796\) −13.4000 + 11.2439i −0.474950 + 0.398531i
\(797\) −19.6393 19.6393i −0.695658 0.695658i 0.267813 0.963471i \(-0.413699\pi\)
−0.963471 + 0.267813i \(0.913699\pi\)
\(798\) −2.81946 + 6.00936i −0.0998078 + 0.212729i
\(799\) 3.20787i 0.113486i
\(800\) −4.41396 + 2.34883i −0.156057 + 0.0830435i
\(801\) −2.82300 + 7.75612i −0.0997457 + 0.274049i
\(802\) 15.2310 + 21.7521i 0.537825 + 0.768093i
\(803\) −6.58743 + 9.40783i −0.232465 + 0.331995i
\(804\) −2.20659 6.06254i −0.0778203 0.213809i
\(805\) 1.43750 5.99202i 0.0506653 0.211191i
\(806\) −15.6619 + 9.04237i −0.551665 + 0.318504i
\(807\) 19.3939 1.69674i 0.682697 0.0597282i
\(808\) −0.722717 + 0.0632295i −0.0254251 + 0.00222441i
\(809\) −7.80114 + 4.50399i −0.274274 + 0.158352i −0.630828 0.775923i \(-0.717285\pi\)
0.356555 + 0.934274i \(0.383951\pi\)
\(810\) 1.90637 1.16866i 0.0669829 0.0410625i
\(811\) 15.3733 + 42.2378i 0.539829 + 1.48317i 0.847041 + 0.531527i \(0.178382\pi\)
−0.307212 + 0.951641i \(0.599396\pi\)
\(812\) 1.18974 1.69913i 0.0417519 0.0596278i
\(813\) −0.509669 0.727882i −0.0178749 0.0255279i
\(814\) 5.27477 14.4923i 0.184881 0.507956i
\(815\) 45.4200 9.24867i 1.59099 0.323967i
\(816\) 1.35672i 0.0474948i
\(817\) 33.9785 + 3.05338i 1.18876 + 0.106824i
\(818\) −15.5879 15.5879i −0.545017 0.545017i
\(819\) 2.68412 2.25224i 0.0937907 0.0786997i
\(820\) 26.1339 + 1.59405i 0.912634 + 0.0556668i
\(821\) −0.666085 + 3.77755i −0.0232465 + 0.131838i −0.994222 0.107340i \(-0.965767\pi\)
0.970976 + 0.239178i \(0.0768778\pi\)
\(822\) 3.39374 + 2.37632i 0.118370 + 0.0828837i
\(823\) 34.7747 + 16.2157i 1.21217 + 0.565244i 0.920299 0.391215i \(-0.127945\pi\)
0.291869 + 0.956458i \(0.405723\pi\)
\(824\) 2.93622 + 1.69523i 0.102288 + 0.0590561i
\(825\) 12.4078 4.03609i 0.431983 0.140519i
\(826\) −8.63357 7.24442i −0.300400 0.252066i
\(827\) −0.849178 9.70614i −0.0295288 0.337516i −0.996561 0.0828618i \(-0.973594\pi\)
0.967032 0.254654i \(-0.0819616\pi\)
\(828\) −0.468362 + 1.74795i −0.0162767 + 0.0607454i
\(829\) −12.6632 + 21.9333i −0.439811 + 0.761775i −0.997675 0.0681580i \(-0.978288\pi\)
0.557864 + 0.829933i \(0.311621\pi\)
\(830\) −18.1620 24.5361i −0.630414 0.851659i
\(831\) −27.1768 + 4.79201i −0.942754 + 0.166233i
\(832\) 1.88477 1.31973i 0.0653426 0.0457534i
\(833\) 2.68395 + 5.75574i 0.0929932 + 0.199425i
\(834\) 5.11450 + 6.09522i 0.177101 + 0.211060i
\(835\) 41.5542 + 22.5531i 1.43804 + 0.780483i
\(836\) 7.33203 8.69630i 0.253584 0.300768i
\(837\) −5.55782 + 5.55782i −0.192106 + 0.192106i
\(838\) 1.31189 14.9949i 0.0453183 0.517991i
\(839\) 7.92991 + 2.88625i 0.273771 + 0.0996444i 0.475257 0.879847i \(-0.342355\pi\)
−0.201487 + 0.979491i \(0.564577\pi\)
\(840\) −2.11933 + 2.66527i −0.0731238 + 0.0919606i
\(841\) −4.71363 26.7323i −0.162539 0.921804i
\(842\) −1.13224 + 2.42809i −0.0390195 + 0.0836776i
\(843\) −3.29489 + 0.882862i −0.113482 + 0.0304074i
\(844\) −9.43381 16.3398i −0.324725 0.562441i
\(845\) −6.86824 + 15.8031i −0.236275 + 0.543642i
\(846\) −1.51982 + 1.81126i −0.0522526 + 0.0622723i
\(847\) 6.16372 + 1.65156i 0.211788 + 0.0567484i
\(848\) −2.82946 10.5597i −0.0971641 0.362621i
\(849\) 25.5713 9.30719i 0.877604 0.319422i
\(850\) −4.62806 4.95968i −0.158741 0.170116i
\(851\) −10.5323 1.85713i −0.361044 0.0636617i
\(852\) −4.41718 + 2.05976i −0.151330 + 0.0705663i
\(853\) −39.7096 3.47414i −1.35963 0.118952i −0.616107 0.787662i \(-0.711291\pi\)
−0.743523 + 0.668710i \(0.766847\pi\)
\(854\) −15.6500 −0.535533
\(855\) 2.74778 + 9.35146i 0.0939720 + 0.319813i
\(856\) −0.253156 −0.00865269
\(857\) −37.6359 3.29272i −1.28562 0.112477i −0.576226 0.817290i \(-0.695475\pi\)
−0.709393 + 0.704813i \(0.751031\pi\)
\(858\) −5.44168 + 2.53750i −0.185776 + 0.0866288i
\(859\) 35.1548 + 6.19875i 1.19947 + 0.211499i 0.737468 0.675382i \(-0.236021\pi\)
0.462000 + 0.886880i \(0.347132\pi\)
\(860\) 16.5974 + 5.55033i 0.565966 + 0.189265i
\(861\) 16.7558 6.09861i 0.571036 0.207840i
\(862\) 8.32350 + 31.0637i 0.283500 + 1.05803i
\(863\) 39.9742 + 10.7111i 1.36074 + 0.364609i 0.864087 0.503342i \(-0.167896\pi\)
0.496650 + 0.867951i \(0.334563\pi\)
\(864\) 0.642788 0.766044i 0.0218681 0.0260614i
\(865\) 9.36911 3.69239i 0.318559 0.125545i
\(866\) 7.96648 + 13.7983i 0.270712 + 0.468887i
\(867\) 14.6428 3.92352i 0.497294 0.133250i
\(868\) 5.05850 10.8480i 0.171697 0.368205i
\(869\) 3.47327 + 19.6979i 0.117823 + 0.668206i
\(870\) −0.345291 3.02611i −0.0117065 0.102595i
\(871\) −13.9492 5.07708i −0.472649 0.172030i
\(872\) 0.115200 1.31675i 0.00390118 0.0445907i
\(873\) 8.77436 8.77436i 0.296967 0.296967i
\(874\) −6.82182 3.96003i −0.230752 0.133950i
\(875\) −1.34430 16.9727i −0.0454457 0.573783i
\(876\) −2.82897 3.37143i −0.0955820 0.113910i
\(877\) −5.84906 12.5433i −0.197509 0.423559i 0.782463 0.622698i \(-0.213963\pi\)
−0.979971 + 0.199139i \(0.936186\pi\)
\(878\) 8.20579 5.74576i 0.276932 0.193910i
\(879\) 23.5467 4.15192i 0.794211 0.140041i
\(880\) 4.69002 3.47164i 0.158100 0.117029i
\(881\) −7.50296 + 12.9955i −0.252781 + 0.437830i −0.964290 0.264847i \(-0.914679\pi\)
0.711509 + 0.702677i \(0.248012\pi\)
\(882\) 1.21152 4.52146i 0.0407940 0.152245i
\(883\) −2.23943 25.5968i −0.0753629 0.861402i −0.935958 0.352112i \(-0.885464\pi\)
0.860595 0.509290i \(-0.170092\pi\)
\(884\) 2.39132 + 2.00656i 0.0804289 + 0.0674878i
\(885\) −16.5431 + 0.435948i −0.556089 + 0.0146542i
\(886\) 15.2921 + 8.82889i 0.513748 + 0.296613i
\(887\) 38.5103 + 17.9576i 1.29305 + 0.602959i 0.942694 0.333658i \(-0.108283\pi\)
0.350355 + 0.936617i \(0.386061\pi\)
\(888\) 4.84119 + 3.38984i 0.162460 + 0.113756i
\(889\) −0.787361 + 4.46534i −0.0264072 + 0.149763i
\(890\) −12.2318 13.8209i −0.410011 0.463277i
\(891\) −1.99902 + 1.67738i −0.0669698 + 0.0561944i
\(892\) 4.62245 + 4.62245i 0.154771 + 0.154771i
\(893\) −5.89155 8.45632i −0.197153 0.282980i
\(894\) 6.19101i 0.207058i
\(895\) 12.0588 18.2255i 0.403082 0.609211i
\(896\) −0.520842 + 1.43100i −0.0174001 + 0.0478064i
\(897\) 2.38819 + 3.41070i 0.0797395 + 0.113880i
\(898\) −10.2155 + 14.5892i −0.340895 + 0.486849i
\(899\) 3.66167 + 10.0603i 0.122123 + 0.335531i
\(900\) 0.263340 + 4.99306i 0.00877801 + 0.166435i
\(901\) 12.8448 7.41597i 0.427924 0.247062i
\(902\) −30.4392 + 2.66308i −1.01351 + 0.0886710i
\(903\) 11.8733 1.03878i 0.395119 0.0345685i
\(904\) −5.18664 + 2.99451i −0.172505 + 0.0995958i
\(905\) −16.1546 3.87554i −0.536998 0.128827i
\(906\) 3.49369 + 9.59882i 0.116070 + 0.318900i
\(907\) 15.5947 22.2715i 0.517813 0.739513i −0.472045 0.881574i \(-0.656484\pi\)
0.989858 + 0.142061i \(0.0453729\pi\)
\(908\) 5.45807 + 7.79493i 0.181132 + 0.258684i
\(909\) −0.248128 + 0.681726i −0.00822989 + 0.0226114i
\(910\) 1.56330 + 7.67734i 0.0518229 + 0.254501i
\(911\) 40.1806i 1.33124i 0.746289 + 0.665622i \(0.231833\pi\)
−0.746289 + 0.665622i \(0.768167\pi\)
\(912\) 2.49175 + 3.57648i 0.0825100 + 0.118429i
\(913\) 25.1909 + 25.1909i 0.833697 + 0.833697i
\(914\) −14.4291 + 12.1075i −0.477272 + 0.400479i
\(915\) −17.2083 + 15.2297i −0.568889 + 0.503479i
\(916\) −2.42368 + 13.7454i −0.0800806 + 0.454160i
\(917\) −4.77541 3.34378i −0.157698 0.110421i
\(918\) 1.22961 + 0.573376i 0.0405831 + 0.0189242i
\(919\) 20.7343 + 11.9709i 0.683961 + 0.394885i 0.801346 0.598201i \(-0.204118\pi\)
−0.117385 + 0.993087i \(0.537451\pi\)
\(920\) −2.93563 2.78488i −0.0967847 0.0918147i
\(921\) −19.3552 16.2409i −0.637775 0.535157i
\(922\) 0.847499 + 9.68696i 0.0279109 + 0.319023i
\(923\) −2.90241 + 10.8319i −0.0955340 + 0.356538i
\(924\) 1.98696 3.44151i 0.0653661 0.113217i
\(925\) −29.2611 + 4.12230i −0.962099 + 0.135540i
\(926\) 25.2208 4.44711i 0.828807 0.146141i
\(927\) 2.77730 1.94469i 0.0912185 0.0638719i
\(928\) −0.575647 1.23448i −0.0188965 0.0405238i
\(929\) −22.2311 26.4940i −0.729378 0.869239i 0.266128 0.963938i \(-0.414256\pi\)
−0.995506 + 0.0946990i \(0.969811\pi\)
\(930\) −4.99447 16.8508i −0.163775 0.552558i
\(931\) 17.6462 + 10.2435i 0.578329 + 0.335717i
\(932\) −11.9050 + 11.9050i −0.389963 + 0.389963i
\(933\) 1.04440 11.9375i 0.0341920 0.390816i
\(934\) −20.7275 7.54420i −0.678225 0.246854i
\(935\) 6.19643 + 4.92718i 0.202645 + 0.161136i
\(936\) −0.399543 2.26592i −0.0130595 0.0740639i
\(937\) −13.2198 + 28.3501i −0.431874 + 0.926156i 0.563135 + 0.826365i \(0.309595\pi\)
−0.995008 + 0.0997910i \(0.968183\pi\)
\(938\) 9.49002 2.54284i 0.309860 0.0830268i
\(939\) 3.66617 + 6.34999i 0.119641 + 0.207224i
\(940\) −1.93852 4.91881i −0.0632275 0.160434i
\(941\) 30.3339 36.1505i 0.988856 1.17847i 0.00491343 0.999988i \(-0.498436\pi\)
0.983943 0.178485i \(-0.0571196\pi\)
\(942\) 16.9682 + 4.54662i 0.552854 + 0.148137i
\(943\) 5.48411 + 20.4670i 0.178587 + 0.666496i
\(944\) −6.95453 + 2.53124i −0.226351 + 0.0823849i
\(945\) 1.51989 + 3.04716i 0.0494420 + 0.0991240i
\(946\) −20.1136 3.54657i −0.653949 0.115309i
\(947\) 2.05173 0.956736i 0.0666722 0.0310898i −0.388996 0.921239i \(-0.627178\pi\)
0.455668 + 0.890150i \(0.349400\pi\)
\(948\) −7.63570 0.668037i −0.247996 0.0216968i
\(949\) −10.1264 −0.328716
\(950\) −21.3090 4.57444i −0.691356 0.148414i
\(951\) 29.1864 0.946435
\(952\) −2.05821 0.180070i −0.0667070 0.00583610i
\(953\) 21.5463 10.0472i 0.697954 0.325461i −0.0410547 0.999157i \(-0.513072\pi\)
0.739009 + 0.673695i \(0.235294\pi\)
\(954\) −10.7661 1.89836i −0.348566 0.0614615i
\(955\) −13.7994 27.6658i −0.446538 0.895245i
\(956\) −23.7479 + 8.64353i −0.768062 + 0.279552i
\(957\) 0.919959 + 3.43333i 0.0297381 + 0.110984i
\(958\) 15.3285 + 4.10727i 0.495243 + 0.132700i
\(959\) −4.05542 + 4.83306i −0.130956 + 0.156068i
\(960\) 0.819868 + 2.08034i 0.0264611 + 0.0671427i
\(961\) 15.3893 + 26.6551i 0.496430 + 0.859841i
\(962\) 13.1348 3.51947i 0.423485 0.113472i
\(963\) −0.106988 + 0.229437i −0.00344765 + 0.00739351i
\(964\) 3.97367 + 22.5358i 0.127983 + 0.725830i
\(965\) 46.1129 + 36.6673i 1.48443 + 1.18036i
\(966\) −2.58956 0.942521i −0.0833176 0.0303251i
\(967\) −1.69562 + 19.3810i −0.0545274 + 0.623251i 0.918936 + 0.394407i \(0.129050\pi\)
−0.973463 + 0.228844i \(0.926506\pi\)
\(968\) 2.96299 2.96299i 0.0952340 0.0952340i
\(969\) −3.81198 + 4.52128i −0.122459 + 0.145244i
\(970\) 7.88499 + 26.6030i 0.253172 + 0.854172i
\(971\) −21.4736 25.5913i −0.689122 0.821264i 0.302127 0.953268i \(-0.402303\pi\)
−0.991249 + 0.132004i \(0.957859\pi\)
\(972\) −0.422618 0.906308i −0.0135555 0.0290698i
\(973\) −9.92555 + 6.94994i −0.318198 + 0.222805i
\(974\) −17.0093 + 2.99919i −0.545012 + 0.0961002i
\(975\) 9.19011 + 6.92045i 0.294319 + 0.221632i
\(976\) −5.13844 + 8.90003i −0.164477 + 0.284883i
\(977\) 10.0204 37.3966i 0.320581 1.19642i −0.598100 0.801421i \(-0.704077\pi\)
0.918681 0.395001i \(-0.129256\pi\)
\(978\) −1.80668 20.6504i −0.0577711 0.660327i
\(979\) 16.4997 + 13.8449i 0.527334 + 0.442486i
\(980\) 7.59365 + 7.20370i 0.242570 + 0.230114i
\(981\) −1.14469 0.660889i −0.0365472 0.0211005i
\(982\) −30.9161 14.4164i −0.986573 0.460047i
\(983\) 36.3907 + 25.4810i 1.16068 + 0.812719i 0.985140 0.171753i \(-0.0549431\pi\)
0.175543 + 0.984472i \(0.443832\pi\)
\(984\) 2.03327 11.5312i 0.0648183 0.367603i
\(985\) −13.8987 + 12.3007i −0.442851 + 0.391932i
\(986\) 1.41564 1.18786i 0.0450832 0.0378293i
\(987\) −2.54604 2.54604i −0.0810414 0.0810414i
\(988\) 9.98904 + 0.897636i 0.317794 + 0.0285576i
\(989\) 14.1631i 0.450361i
\(990\) −1.16428 5.71778i −0.0370034 0.181723i
\(991\) −14.5985 + 40.1090i −0.463736 + 1.27411i 0.458918 + 0.888478i \(0.348237\pi\)
−0.922655 + 0.385627i \(0.873985\pi\)
\(992\) −4.50828 6.43848i −0.143138 0.204422i
\(993\) −19.2841 + 27.5405i −0.611962 + 0.873972i
\(994\) −2.53849 6.97444i −0.0805160 0.221216i
\(995\) −38.0351 9.12473i −1.20579 0.289274i
\(996\) −11.8229 + 6.82597i −0.374624 + 0.216289i
\(997\) −54.0275 + 4.72680i −1.71107 + 0.149699i −0.900185 0.435507i \(-0.856569\pi\)
−0.810884 + 0.585207i \(0.801013\pi\)
\(998\) 2.18362 0.191042i 0.0691213 0.00604733i
\(999\) 5.11822 2.95500i 0.161933 0.0934922i
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 570.2.bh.a.13.9 120
5.2 odd 4 inner 570.2.bh.a.127.3 yes 120
19.3 odd 18 inner 570.2.bh.a.193.3 yes 120
95.22 even 36 inner 570.2.bh.a.307.9 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bh.a.13.9 120 1.1 even 1 trivial
570.2.bh.a.127.3 yes 120 5.2 odd 4 inner
570.2.bh.a.193.3 yes 120 19.3 odd 18 inner
570.2.bh.a.307.9 yes 120 95.22 even 36 inner