Properties

Label 798.2.ca.b.451.10
Level $798$
Weight $2$
Character 798.451
Analytic conductor $6.372$
Analytic rank $0$
Dimension $84$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [798,2,Mod(325,798)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(798, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([0, 3, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("798.325");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 798.ca (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.37206208130\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 451.10
Character \(\chi\) \(=\) 798.451
Dual form 798.2.ca.b.775.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-1.97928 - 0.349000i) q^{5} +(0.984808 - 0.173648i) q^{6} +(-1.45333 + 2.21085i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(0.766044 + 0.642788i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-1.97928 - 0.349000i) q^{5} +(0.984808 - 0.173648i) q^{6} +(-1.45333 + 2.21085i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.173648 + 0.984808i) q^{9} +(-1.53960 + 1.29188i) q^{10} +(1.07646 + 1.86448i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.220924 + 1.25292i) q^{13} +(0.759427 + 2.53442i) q^{14} +(-1.29188 - 1.53960i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(7.03133 + 1.23981i) q^{17} +(0.866025 + 0.500000i) q^{18} +(3.16908 + 2.99281i) q^{19} +2.00981i q^{20} +(-2.53442 + 0.759427i) q^{21} +(2.12021 + 0.373850i) q^{22} +(6.37581 + 2.32060i) q^{23} +(-0.342020 - 0.939693i) q^{24} +(-0.902734 - 0.328568i) q^{25} +(1.10180 + 0.636124i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(2.42963 + 1.04734i) q^{28} +(-2.83150 + 7.77947i) q^{29} -2.00981 q^{30} +1.43615 q^{31} +(-0.342020 + 0.939693i) q^{32} +(-0.373850 + 2.12021i) q^{33} +(5.46941 - 4.58938i) q^{34} +(3.64812 - 3.86866i) q^{35} +(0.939693 - 0.342020i) q^{36} +(-1.70530 + 0.984555i) q^{37} +(4.32967 - 0.503913i) q^{38} +(-0.636124 + 1.10180i) q^{39} +(1.53960 + 1.29188i) q^{40} +(-0.207998 + 1.17962i) q^{41} +(-1.04734 + 2.42963i) q^{42} +(-8.46655 - 7.10428i) q^{43} +(1.64923 - 1.38387i) q^{44} -2.00981i q^{45} +(5.87598 - 3.39250i) q^{46} +(-0.168177 + 0.0296541i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(-2.77569 - 6.42616i) q^{49} +(-0.831964 + 0.480335i) q^{50} +(4.58938 + 5.46941i) q^{51} +(1.19552 - 0.435135i) q^{52} +(-5.47507 + 0.965402i) q^{53} +(0.342020 + 0.939693i) q^{54} +(-1.47991 - 4.06601i) q^{55} +(2.36404 - 1.18799i) q^{56} +(0.503913 + 4.32967i) q^{57} +(4.13937 + 7.16960i) q^{58} +(0.185308 - 1.05093i) q^{59} +(-1.29188 + 1.53960i) q^{60} +(-0.526358 + 1.44616i) q^{61} +(0.923137 - 1.10015i) q^{62} +(-2.42963 - 1.04734i) q^{63} +(0.500000 + 0.866025i) q^{64} -2.55698i q^{65} +(1.38387 + 1.64923i) q^{66} +(-3.88493 - 4.62987i) q^{67} -7.13980i q^{68} +(3.39250 + 5.87598i) q^{69} +(-0.618605 - 5.28135i) q^{70} +(-1.29050 + 1.53796i) q^{71} +(0.342020 - 0.939693i) q^{72} +(1.19557 - 1.42483i) q^{73} +(-0.341932 + 1.93919i) q^{74} +(-0.480335 - 0.831964i) q^{75} +(2.39704 - 3.64063i) q^{76} +(-5.68653 - 0.329813i) q^{77} +(0.435135 + 1.19552i) q^{78} +(2.67006 + 7.33593i) q^{79} +(1.97928 - 0.349000i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(0.769940 + 0.917579i) q^{82} +(3.98187 - 2.29893i) q^{83} +(1.18799 + 2.36404i) q^{84} +(-13.4842 - 4.90787i) q^{85} +(-10.8844 + 1.91921i) q^{86} +(-7.16960 + 4.13937i) q^{87} -2.15292i q^{88} +(3.37288 - 2.83019i) q^{89} +(-1.53960 - 1.29188i) q^{90} +(-3.09109 - 1.33247i) q^{91} +(1.17820 - 6.68192i) q^{92} +(1.10015 + 0.923137i) q^{93} +(-0.0853855 + 0.147892i) q^{94} +(-5.22799 - 7.02961i) q^{95} +(-0.866025 + 0.500000i) q^{96} +(-2.01102 + 0.731950i) q^{97} +(-6.70690 - 2.00436i) q^{98} +(-1.64923 + 1.38387i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84 q - 6 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 84 q - 6 q^{7} - 6 q^{10} + 6 q^{11} + 42 q^{12} - 24 q^{13} + 18 q^{17} - 6 q^{19} - 6 q^{21} + 12 q^{22} + 30 q^{23} + 24 q^{25} + 18 q^{26} - 42 q^{27} - 6 q^{28} + 12 q^{31} + 6 q^{33} + 30 q^{34} + 12 q^{35} + 18 q^{37} + 24 q^{38} + 6 q^{40} - 36 q^{41} - 6 q^{42} + 12 q^{43} - 6 q^{44} + 18 q^{46} + 18 q^{47} + 12 q^{49} - 30 q^{52} - 12 q^{53} + 30 q^{55} + 18 q^{56} + 6 q^{57} + 6 q^{59} + 36 q^{61} + 12 q^{62} + 6 q^{63} + 42 q^{64} + 6 q^{66} - 12 q^{67} - 6 q^{69} - 18 q^{70} + 42 q^{71} - 6 q^{73} + 48 q^{75} - 18 q^{76} - 96 q^{77} - 12 q^{78} - 6 q^{79} - 12 q^{82} - 54 q^{83} + 6 q^{84} - 24 q^{85} - 30 q^{86} + 24 q^{89} - 6 q^{90} + 42 q^{91} + 42 q^{92} + 36 q^{93} - 18 q^{94} + 24 q^{95} + 78 q^{97} + 12 q^{98} + 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).

\(n\) \(115\) \(211\) \(533\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{18}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) 0.766044 + 0.642788i 0.442276 + 0.371114i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −1.97928 0.349000i −0.885159 0.156077i −0.287455 0.957794i \(-0.592809\pi\)
−0.597704 + 0.801717i \(0.703920\pi\)
\(6\) 0.984808 0.173648i 0.402046 0.0708916i
\(7\) −1.45333 + 2.21085i −0.549306 + 0.835622i
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 0.173648 + 0.984808i 0.0578827 + 0.328269i
\(10\) −1.53960 + 1.29188i −0.486865 + 0.408528i
\(11\) 1.07646 + 1.86448i 0.324565 + 0.562163i 0.981424 0.191850i \(-0.0614489\pi\)
−0.656859 + 0.754013i \(0.728116\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 0.220924 + 1.25292i 0.0612732 + 0.347498i 0.999996 + 0.00282454i \(0.000899081\pi\)
−0.938723 + 0.344673i \(0.887990\pi\)
\(14\) 0.759427 + 2.53442i 0.202965 + 0.677351i
\(15\) −1.29188 1.53960i −0.333562 0.397524i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 7.03133 + 1.23981i 1.70535 + 0.300699i 0.939558 0.342390i \(-0.111236\pi\)
0.765791 + 0.643089i \(0.222348\pi\)
\(18\) 0.866025 + 0.500000i 0.204124 + 0.117851i
\(19\) 3.16908 + 2.99281i 0.727037 + 0.686598i
\(20\) 2.00981i 0.449407i
\(21\) −2.53442 + 0.759427i −0.553055 + 0.165721i
\(22\) 2.12021 + 0.373850i 0.452030 + 0.0797052i
\(23\) 6.37581 + 2.32060i 1.32945 + 0.483880i 0.906474 0.422262i \(-0.138764\pi\)
0.422974 + 0.906142i \(0.360986\pi\)
\(24\) −0.342020 0.939693i −0.0698146 0.191814i
\(25\) −0.902734 0.328568i −0.180547 0.0657137i
\(26\) 1.10180 + 0.636124i 0.216081 + 0.124754i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) 2.42963 + 1.04734i 0.459156 + 0.197928i
\(29\) −2.83150 + 7.77947i −0.525795 + 1.44461i 0.338182 + 0.941081i \(0.390188\pi\)
−0.863977 + 0.503530i \(0.832034\pi\)
\(30\) −2.00981 −0.366939
\(31\) 1.43615 0.257940 0.128970 0.991649i \(-0.458833\pi\)
0.128970 + 0.991649i \(0.458833\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) −0.373850 + 2.12021i −0.0650790 + 0.369081i
\(34\) 5.46941 4.58938i 0.937996 0.787072i
\(35\) 3.64812 3.86866i 0.616644 0.653924i
\(36\) 0.939693 0.342020i 0.156615 0.0570034i
\(37\) −1.70530 + 0.984555i −0.280349 + 0.161860i −0.633582 0.773676i \(-0.718416\pi\)
0.353232 + 0.935536i \(0.385083\pi\)
\(38\) 4.32967 0.503913i 0.702366 0.0817454i
\(39\) −0.636124 + 1.10180i −0.101861 + 0.176429i
\(40\) 1.53960 + 1.29188i 0.243433 + 0.204264i
\(41\) −0.207998 + 1.17962i −0.0324839 + 0.184225i −0.996732 0.0807743i \(-0.974261\pi\)
0.964249 + 0.265000i \(0.0853718\pi\)
\(42\) −1.04734 + 2.42963i −0.161608 + 0.374900i
\(43\) −8.46655 7.10428i −1.29114 1.08339i −0.991605 0.129306i \(-0.958725\pi\)
−0.299532 0.954086i \(-0.596831\pi\)
\(44\) 1.64923 1.38387i 0.248631 0.208626i
\(45\) 2.00981i 0.299605i
\(46\) 5.87598 3.39250i 0.866366 0.500196i
\(47\) −0.168177 + 0.0296541i −0.0245311 + 0.00432549i −0.185900 0.982569i \(-0.559520\pi\)
0.161369 + 0.986894i \(0.448409\pi\)
\(48\) −0.939693 0.342020i −0.135633 0.0493664i
\(49\) −2.77569 6.42616i −0.396527 0.918023i
\(50\) −0.831964 + 0.480335i −0.117658 + 0.0679296i
\(51\) 4.58938 + 5.46941i 0.642641 + 0.765870i
\(52\) 1.19552 0.435135i 0.165789 0.0603423i
\(53\) −5.47507 + 0.965402i −0.752059 + 0.132608i −0.536521 0.843887i \(-0.680262\pi\)
−0.215538 + 0.976495i \(0.569151\pi\)
\(54\) 0.342020 + 0.939693i 0.0465430 + 0.127876i
\(55\) −1.47991 4.06601i −0.199550 0.548260i
\(56\) 2.36404 1.18799i 0.315908 0.158751i
\(57\) 0.503913 + 4.32967i 0.0667449 + 0.573479i
\(58\) 4.13937 + 7.16960i 0.543526 + 0.941414i
\(59\) 0.185308 1.05093i 0.0241250 0.136820i −0.970366 0.241639i \(-0.922315\pi\)
0.994491 + 0.104819i \(0.0334262\pi\)
\(60\) −1.29188 + 1.53960i −0.166781 + 0.198762i
\(61\) −0.526358 + 1.44616i −0.0673932 + 0.185161i −0.968817 0.247775i \(-0.920300\pi\)
0.901424 + 0.432937i \(0.142523\pi\)
\(62\) 0.923137 1.10015i 0.117239 0.139719i
\(63\) −2.42963 1.04734i −0.306104 0.131952i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 2.55698i 0.317154i
\(66\) 1.38387 + 1.64923i 0.170343 + 0.203006i
\(67\) −3.88493 4.62987i −0.474619 0.565629i 0.474617 0.880192i \(-0.342586\pi\)
−0.949237 + 0.314563i \(0.898142\pi\)
\(68\) 7.13980i 0.865828i
\(69\) 3.39250 + 5.87598i 0.408409 + 0.707385i
\(70\) −0.618605 5.28135i −0.0739374 0.631242i
\(71\) −1.29050 + 1.53796i −0.153155 + 0.182523i −0.837166 0.546949i \(-0.815789\pi\)
0.684012 + 0.729471i \(0.260234\pi\)
\(72\) 0.342020 0.939693i 0.0403075 0.110744i
\(73\) 1.19557 1.42483i 0.139931 0.166764i −0.691527 0.722350i \(-0.743062\pi\)
0.831459 + 0.555587i \(0.187506\pi\)
\(74\) −0.341932 + 1.93919i −0.0397488 + 0.225427i
\(75\) −0.480335 0.831964i −0.0554643 0.0960670i
\(76\) 2.39704 3.64063i 0.274959 0.417609i
\(77\) −5.68653 0.329813i −0.648040 0.0375857i
\(78\) 0.435135 + 1.19552i 0.0492693 + 0.135366i
\(79\) 2.67006 + 7.33593i 0.300405 + 0.825357i 0.994429 + 0.105405i \(0.0336139\pi\)
−0.694024 + 0.719952i \(0.744164\pi\)
\(80\) 1.97928 0.349000i 0.221290 0.0390193i
\(81\) −0.939693 + 0.342020i −0.104410 + 0.0380022i
\(82\) 0.769940 + 0.917579i 0.0850257 + 0.101330i
\(83\) 3.98187 2.29893i 0.437067 0.252341i −0.265286 0.964170i \(-0.585466\pi\)
0.702353 + 0.711829i \(0.252133\pi\)
\(84\) 1.18799 + 2.36404i 0.129620 + 0.257938i
\(85\) −13.4842 4.90787i −1.46257 0.532333i
\(86\) −10.8844 + 1.91921i −1.17369 + 0.206954i
\(87\) −7.16960 + 4.13937i −0.768662 + 0.443787i
\(88\) 2.15292i 0.229502i
\(89\) 3.37288 2.83019i 0.357525 0.299999i −0.446278 0.894894i \(-0.647251\pi\)
0.803803 + 0.594895i \(0.202806\pi\)
\(90\) −1.53960 1.29188i −0.162288 0.136176i
\(91\) −3.09109 1.33247i −0.324034 0.139681i
\(92\) 1.17820 6.68192i 0.122836 0.696638i
\(93\) 1.10015 + 0.923137i 0.114080 + 0.0957249i
\(94\) −0.0853855 + 0.147892i −0.00880685 + 0.0152539i
\(95\) −5.22799 7.02961i −0.536380 0.721223i
\(96\) −0.866025 + 0.500000i −0.0883883 + 0.0510310i
\(97\) −2.01102 + 0.731950i −0.204188 + 0.0743182i −0.442089 0.896971i \(-0.645763\pi\)
0.237902 + 0.971289i \(0.423540\pi\)
\(98\) −6.70690 2.00436i −0.677500 0.202471i
\(99\) −1.64923 + 1.38387i −0.165754 + 0.139084i
\(100\) −0.166819 + 0.946075i −0.0166819 + 0.0946075i
\(101\) −1.68292 + 4.62377i −0.167456 + 0.460083i −0.994828 0.101572i \(-0.967613\pi\)
0.827372 + 0.561655i \(0.189835\pi\)
\(102\) 7.13980 0.706946
\(103\) 12.8666 1.26779 0.633894 0.773420i \(-0.281456\pi\)
0.633894 + 0.773420i \(0.281456\pi\)
\(104\) 0.435135 1.19552i 0.0426685 0.117231i
\(105\) 5.28135 0.618605i 0.515407 0.0603696i
\(106\) −2.77977 + 4.81470i −0.269995 + 0.467645i
\(107\) 11.8006 + 6.81311i 1.14081 + 0.658648i 0.946631 0.322318i \(-0.104462\pi\)
0.194180 + 0.980966i \(0.437795\pi\)
\(108\) 0.939693 + 0.342020i 0.0904220 + 0.0329109i
\(109\) −2.97587 8.17613i −0.285036 0.783131i −0.996742 0.0806533i \(-0.974299\pi\)
0.711706 0.702478i \(-0.247923\pi\)
\(110\) −4.06601 1.47991i −0.387679 0.141103i
\(111\) −1.93919 0.341932i −0.184060 0.0324548i
\(112\) 0.609525 2.57458i 0.0575947 0.243275i
\(113\) 3.92307i 0.369052i −0.982828 0.184526i \(-0.940925\pi\)
0.982828 0.184526i \(-0.0590749\pi\)
\(114\) 3.64063 + 2.39704i 0.340976 + 0.224503i
\(115\) −11.8096 6.81827i −1.10125 0.635807i
\(116\) 8.15297 + 1.43759i 0.756984 + 0.133477i
\(117\) −1.19552 + 0.435135i −0.110526 + 0.0402282i
\(118\) −0.685948 0.817481i −0.0631467 0.0752553i
\(119\) −12.9599 + 13.7433i −1.18803 + 1.25985i
\(120\) 0.349000 + 1.97928i 0.0318592 + 0.180682i
\(121\) 3.18247 5.51220i 0.289316 0.501109i
\(122\) 0.769484 + 1.33279i 0.0696658 + 0.120665i
\(123\) −0.917579 + 0.769940i −0.0827353 + 0.0694232i
\(124\) −0.249384 1.41433i −0.0223954 0.127010i
\(125\) 10.3748 + 5.98990i 0.927952 + 0.535753i
\(126\) −2.36404 + 1.18799i −0.210605 + 0.105834i
\(127\) −8.74614 + 1.54218i −0.776095 + 0.136846i −0.547647 0.836710i \(-0.684476\pi\)
−0.228448 + 0.973556i \(0.573365\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) −1.91921 10.8844i −0.168977 0.958317i
\(130\) −1.95876 1.64359i −0.171794 0.144153i
\(131\) 10.0173 11.9381i 0.875212 1.04304i −0.123503 0.992344i \(-0.539413\pi\)
0.998714 0.0506925i \(-0.0161429\pi\)
\(132\) 2.15292 0.187388
\(133\) −11.2224 + 2.65682i −0.973102 + 0.230375i
\(134\) −6.04387 −0.522111
\(135\) 1.29188 1.53960i 0.111187 0.132508i
\(136\) −5.46941 4.58938i −0.468998 0.393536i
\(137\) −0.118233 0.670534i −0.0101013 0.0572875i 0.979340 0.202218i \(-0.0648151\pi\)
−0.989442 + 0.144931i \(0.953704\pi\)
\(138\) 6.68192 + 1.17820i 0.568802 + 0.100295i
\(139\) 18.1885 3.20713i 1.54273 0.272025i 0.663411 0.748255i \(-0.269108\pi\)
0.879321 + 0.476230i \(0.157997\pi\)
\(140\) −4.44338 2.92091i −0.375534 0.246862i
\(141\) −0.147892 0.0853855i −0.0124548 0.00719076i
\(142\) 0.348628 + 1.97717i 0.0292562 + 0.165920i
\(143\) −2.09823 + 1.76063i −0.175463 + 0.147231i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 8.31934 14.4095i 0.690884 1.19665i
\(146\) −0.322982 1.83172i −0.0267302 0.151595i
\(147\) 2.00436 6.70690i 0.165317 0.553176i
\(148\) 1.26572 + 1.50843i 0.104041 + 0.123992i
\(149\) −6.02986 + 2.19469i −0.493985 + 0.179796i −0.576987 0.816753i \(-0.695772\pi\)
0.0830014 + 0.996549i \(0.473549\pi\)
\(150\) −0.946075 0.166819i −0.0772467 0.0136207i
\(151\) 0.185714 + 0.107222i 0.0151132 + 0.00872562i 0.507538 0.861630i \(-0.330556\pi\)
−0.492424 + 0.870355i \(0.663889\pi\)
\(152\) −1.24810 4.17639i −0.101234 0.338750i
\(153\) 7.13980i 0.577219i
\(154\) −3.90788 + 4.14414i −0.314906 + 0.333944i
\(155\) −2.84253 0.501215i −0.228317 0.0402585i
\(156\) 1.19552 + 0.435135i 0.0957184 + 0.0348387i
\(157\) 3.08485 + 8.47557i 0.246198 + 0.676424i 0.999817 + 0.0191127i \(0.00608412\pi\)
−0.753619 + 0.657311i \(0.771694\pi\)
\(158\) 7.33593 + 2.67006i 0.583616 + 0.212419i
\(159\) −4.81470 2.77977i −0.381830 0.220450i
\(160\) 1.00490 1.74055i 0.0794447 0.137602i
\(161\) −14.3966 + 10.7233i −1.13461 + 0.845118i
\(162\) −0.342020 + 0.939693i −0.0268716 + 0.0738292i
\(163\) −24.0471 −1.88351 −0.941755 0.336299i \(-0.890825\pi\)
−0.941755 + 0.336299i \(0.890825\pi\)
\(164\) 1.19781 0.0935336
\(165\) 1.47991 4.06601i 0.115210 0.316538i
\(166\) 0.798411 4.52802i 0.0619687 0.351442i
\(167\) 11.2887 9.47232i 0.873544 0.732990i −0.0912975 0.995824i \(-0.529101\pi\)
0.964841 + 0.262833i \(0.0846570\pi\)
\(168\) 2.57458 + 0.609525i 0.198633 + 0.0470259i
\(169\) 10.6950 3.89266i 0.822692 0.299436i
\(170\) −12.4272 + 7.17482i −0.953119 + 0.550284i
\(171\) −2.39704 + 3.64063i −0.183306 + 0.278406i
\(172\) −5.52615 + 9.57157i −0.421365 + 0.729825i
\(173\) 16.6239 + 13.9491i 1.26389 + 1.06053i 0.995256 + 0.0972917i \(0.0310180\pi\)
0.268638 + 0.963241i \(0.413426\pi\)
\(174\) −1.43759 + 8.15297i −0.108983 + 0.618075i
\(175\) 2.03838 1.51829i 0.154087 0.114772i
\(176\) −1.64923 1.38387i −0.124315 0.104313i
\(177\) 0.817481 0.685948i 0.0614457 0.0515590i
\(178\) 4.40299i 0.330018i
\(179\) 19.4251 11.2151i 1.45190 0.838254i 0.453309 0.891353i \(-0.350243\pi\)
0.998589 + 0.0530993i \(0.0169100\pi\)
\(180\) −1.97928 + 0.349000i −0.147526 + 0.0260129i
\(181\) −18.3966 6.69582i −1.36741 0.497696i −0.449072 0.893496i \(-0.648245\pi\)
−0.918337 + 0.395800i \(0.870468\pi\)
\(182\) −3.00765 + 1.51141i −0.222942 + 0.112033i
\(183\) −1.33279 + 0.769484i −0.0985223 + 0.0568819i
\(184\) −4.36131 5.19761i −0.321520 0.383173i
\(185\) 3.71886 1.35356i 0.273416 0.0995154i
\(186\) 1.41433 0.249384i 0.103704 0.0182857i
\(187\) 5.25733 + 14.4444i 0.384454 + 1.05628i
\(188\) 0.0584072 + 0.160472i 0.00425978 + 0.0117036i
\(189\) −1.18799 2.36404i −0.0864133 0.171959i
\(190\) −8.74548 0.513672i −0.634464 0.0372657i
\(191\) −13.3334 23.0941i −0.964770 1.67103i −0.710233 0.703967i \(-0.751410\pi\)
−0.254537 0.967063i \(-0.581923\pi\)
\(192\) −0.173648 + 0.984808i −0.0125320 + 0.0710724i
\(193\) 5.48888 6.54139i 0.395098 0.470860i −0.531421 0.847108i \(-0.678342\pi\)
0.926519 + 0.376248i \(0.122786\pi\)
\(194\) −0.731950 + 2.01102i −0.0525509 + 0.144382i
\(195\) 1.64359 1.95876i 0.117700 0.140270i
\(196\) −5.84654 + 3.84941i −0.417610 + 0.274958i
\(197\) 7.33370 + 12.7023i 0.522505 + 0.905005i 0.999657 + 0.0261841i \(0.00833561\pi\)
−0.477152 + 0.878821i \(0.658331\pi\)
\(198\) 2.15292i 0.153001i
\(199\) −3.68019 4.38588i −0.260882 0.310907i 0.619665 0.784867i \(-0.287269\pi\)
−0.880546 + 0.473960i \(0.842824\pi\)
\(200\) 0.617507 + 0.735916i 0.0436643 + 0.0520371i
\(201\) 6.04387i 0.426302i
\(202\) 2.46026 + 4.26129i 0.173103 + 0.299823i
\(203\) −13.0841 17.5661i −0.918326 1.23290i
\(204\) 4.58938 5.46941i 0.321321 0.382935i
\(205\) 0.823372 2.26220i 0.0575068 0.157999i
\(206\) 8.27051 9.85641i 0.576234 0.686729i
\(207\) −1.17820 + 6.68192i −0.0818907 + 0.464425i
\(208\) −0.636124 1.10180i −0.0441073 0.0763960i
\(209\) −2.16866 + 9.13033i −0.150009 + 0.631558i
\(210\) 2.92091 4.44338i 0.201562 0.306622i
\(211\) −5.62221 15.4469i −0.387049 1.06341i −0.968323 0.249700i \(-0.919668\pi\)
0.581274 0.813708i \(-0.302554\pi\)
\(212\) 1.90147 + 5.22425i 0.130594 + 0.358803i
\(213\) −1.97717 + 0.348628i −0.135473 + 0.0238876i
\(214\) 12.8045 4.66044i 0.875294 0.318581i
\(215\) 14.2782 + 17.0161i 0.973768 + 1.16049i
\(216\) 0.866025 0.500000i 0.0589256 0.0340207i
\(217\) −2.08719 + 3.17510i −0.141688 + 0.215540i
\(218\) −8.17613 2.97587i −0.553757 0.201551i
\(219\) 1.83172 0.322982i 0.123776 0.0218251i
\(220\) −3.74725 + 2.16348i −0.252640 + 0.145862i
\(221\) 9.08360i 0.611029i
\(222\) −1.50843 + 1.26572i −0.101239 + 0.0849495i
\(223\) −7.29230 6.11897i −0.488329 0.409756i 0.365098 0.930969i \(-0.381035\pi\)
−0.853427 + 0.521213i \(0.825480\pi\)
\(224\) −1.58045 2.12183i −0.105598 0.141771i
\(225\) 0.166819 0.946075i 0.0111212 0.0630717i
\(226\) −3.00525 2.52170i −0.199906 0.167741i
\(227\) −6.24927 + 10.8240i −0.414778 + 0.718417i −0.995405 0.0957526i \(-0.969474\pi\)
0.580627 + 0.814170i \(0.302808\pi\)
\(228\) 4.17639 1.24810i 0.276588 0.0826572i
\(229\) 11.0421 6.37514i 0.729680 0.421281i −0.0886249 0.996065i \(-0.528247\pi\)
0.818305 + 0.574784i \(0.194914\pi\)
\(230\) −12.8142 + 4.66397i −0.844940 + 0.307533i
\(231\) −4.14414 3.90788i −0.272664 0.257120i
\(232\) 6.34188 5.32147i 0.416365 0.349372i
\(233\) −4.29851 + 24.3781i −0.281605 + 1.59706i 0.435562 + 0.900159i \(0.356550\pi\)
−0.717167 + 0.696902i \(0.754561\pi\)
\(234\) −0.435135 + 1.19552i −0.0284456 + 0.0781537i
\(235\) 0.343217 0.0223890
\(236\) −1.06715 −0.0694653
\(237\) −2.67006 + 7.33593i −0.173439 + 0.476520i
\(238\) 2.19758 + 18.7619i 0.142448 + 1.21615i
\(239\) −10.4794 + 18.1508i −0.677854 + 1.17408i 0.297771 + 0.954637i \(0.403757\pi\)
−0.975626 + 0.219441i \(0.929577\pi\)
\(240\) 1.74055 + 1.00490i 0.112352 + 0.0648663i
\(241\) −8.42741 3.06733i −0.542857 0.197584i 0.0560129 0.998430i \(-0.482161\pi\)
−0.598870 + 0.800846i \(0.704383\pi\)
\(242\) −2.17694 5.98109i −0.139939 0.384479i
\(243\) −0.939693 0.342020i −0.0602813 0.0219406i
\(244\) 1.51559 + 0.267239i 0.0970255 + 0.0171082i
\(245\) 3.25112 + 13.6879i 0.207707 + 0.874485i
\(246\) 1.19781i 0.0763699i
\(247\) −3.04963 + 4.63179i −0.194043 + 0.294714i
\(248\) −1.24374 0.718073i −0.0789775 0.0455977i
\(249\) 4.52802 + 0.798411i 0.286951 + 0.0505973i
\(250\) 11.2573 4.09733i 0.711976 0.259138i
\(251\) −15.3904 18.3415i −0.971431 1.15771i −0.987465 0.157835i \(-0.949548\pi\)
0.0160341 0.999871i \(-0.494896\pi\)
\(252\) −0.609525 + 2.57458i −0.0383965 + 0.162183i
\(253\) 2.53657 + 14.3856i 0.159473 + 0.904416i
\(254\) −4.44053 + 7.69123i −0.278624 + 0.482591i
\(255\) −7.17482 12.4272i −0.449305 0.778218i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 1.86842 + 10.5963i 0.116549 + 0.660980i 0.985972 + 0.166912i \(0.0533795\pi\)
−0.869423 + 0.494068i \(0.835509\pi\)
\(258\) −9.57157 5.52615i −0.595900 0.344043i
\(259\) 0.301655 5.20103i 0.0187439 0.323176i
\(260\) −2.51813 + 0.444014i −0.156168 + 0.0275366i
\(261\) −8.15297 1.43759i −0.504656 0.0889844i
\(262\) −2.70615 15.3473i −0.167186 0.948161i
\(263\) −13.7568 11.5433i −0.848278 0.711790i 0.111131 0.993806i \(-0.464553\pi\)
−0.959410 + 0.282016i \(0.908997\pi\)
\(264\) 1.38387 1.64923i 0.0851713 0.101503i
\(265\) 11.1736 0.686388
\(266\) −5.17835 + 10.3046i −0.317505 + 0.631815i
\(267\) 4.40299 0.269458
\(268\) −3.88493 + 4.62987i −0.237310 + 0.282815i
\(269\) −3.72945 3.12938i −0.227389 0.190802i 0.521974 0.852961i \(-0.325196\pi\)
−0.749363 + 0.662159i \(0.769640\pi\)
\(270\) −0.349000 1.97928i −0.0212394 0.120455i
\(271\) −17.6134 3.10573i −1.06994 0.188659i −0.389177 0.921163i \(-0.627241\pi\)
−0.680763 + 0.732503i \(0.738352\pi\)
\(272\) −7.03133 + 1.23981i −0.426337 + 0.0751748i
\(273\) −1.51141 3.00765i −0.0914749 0.182031i
\(274\) −0.589657 0.340439i −0.0356225 0.0205667i
\(275\) −0.359147 2.03682i −0.0216574 0.122825i
\(276\) 5.19761 4.36131i 0.312859 0.262520i
\(277\) −1.48032 2.56399i −0.0889439 0.154055i 0.818121 0.575046i \(-0.195016\pi\)
−0.907065 + 0.420991i \(0.861683\pi\)
\(278\) 9.23456 15.9947i 0.553852 0.959300i
\(279\) 0.249384 + 1.41433i 0.0149302 + 0.0846736i
\(280\) −5.09369 + 1.52630i −0.304406 + 0.0912141i
\(281\) −2.58584 3.08168i −0.154258 0.183838i 0.683381 0.730062i \(-0.260509\pi\)
−0.837639 + 0.546225i \(0.816064\pi\)
\(282\) −0.160472 + 0.0584072i −0.00955599 + 0.00347810i
\(283\) −3.79212 0.668653i −0.225418 0.0397473i 0.0597981 0.998210i \(-0.480954\pi\)
−0.285216 + 0.958463i \(0.592065\pi\)
\(284\) 1.73869 + 1.00383i 0.103172 + 0.0595666i
\(285\) 0.513672 8.74548i 0.0304273 0.518038i
\(286\) 2.73905i 0.161963i
\(287\) −2.30566 2.17422i −0.136099 0.128340i
\(288\) −0.984808 0.173648i −0.0580304 0.0102323i
\(289\) 31.9277 + 11.6207i 1.87810 + 0.683573i
\(290\) −5.69076 15.6352i −0.334173 0.918133i
\(291\) −2.01102 0.731950i −0.117888 0.0429076i
\(292\) −1.61079 0.929991i −0.0942644 0.0544236i
\(293\) −4.85514 + 8.40935i −0.283640 + 0.491279i −0.972279 0.233826i \(-0.924876\pi\)
0.688638 + 0.725105i \(0.258209\pi\)
\(294\) −3.84941 5.84654i −0.224502 0.340977i
\(295\) −0.733551 + 2.01541i −0.0427090 + 0.117342i
\(296\) 1.96911 0.114452
\(297\) −2.15292 −0.124925
\(298\) −2.19469 + 6.02986i −0.127135 + 0.349300i
\(299\) −1.49897 + 8.50106i −0.0866874 + 0.491629i
\(300\) −0.735916 + 0.617507i −0.0424881 + 0.0356518i
\(301\) 28.0111 8.39341i 1.61453 0.483788i
\(302\) 0.201512 0.0733443i 0.0115957 0.00422049i
\(303\) −4.26129 + 2.46026i −0.244805 + 0.141338i
\(304\) −4.00156 1.72844i −0.229505 0.0991326i
\(305\) 1.54652 2.67864i 0.0885532 0.153379i
\(306\) 5.46941 + 4.58938i 0.312665 + 0.262357i
\(307\) 1.67777 9.51508i 0.0957551 0.543054i −0.898758 0.438445i \(-0.855530\pi\)
0.994513 0.104610i \(-0.0333593\pi\)
\(308\) 0.662653 + 5.65741i 0.0377581 + 0.322361i
\(309\) 9.85641 + 8.27051i 0.560712 + 0.470493i
\(310\) −2.21110 + 1.85533i −0.125582 + 0.105376i
\(311\) 31.1159i 1.76442i −0.470858 0.882209i \(-0.656055\pi\)
0.470858 0.882209i \(-0.343945\pi\)
\(312\) 1.10180 0.636124i 0.0623771 0.0360134i
\(313\) −11.7105 + 2.06488i −0.661917 + 0.116714i −0.494507 0.869174i \(-0.664651\pi\)
−0.167410 + 0.985887i \(0.553540\pi\)
\(314\) 8.47557 + 3.08485i 0.478304 + 0.174088i
\(315\) 4.44338 + 2.92091i 0.250356 + 0.164574i
\(316\) 6.76083 3.90337i 0.380327 0.219582i
\(317\) 4.28315 + 5.10446i 0.240566 + 0.286695i 0.872796 0.488086i \(-0.162305\pi\)
−0.632230 + 0.774781i \(0.717860\pi\)
\(318\) −5.22425 + 1.90147i −0.292961 + 0.106629i
\(319\) −17.5527 + 3.09501i −0.982761 + 0.173287i
\(320\) −0.687395 1.88860i −0.0384265 0.105576i
\(321\) 4.66044 + 12.8045i 0.260120 + 0.714675i
\(322\) −1.03942 + 17.9213i −0.0579245 + 0.998714i
\(323\) 18.5723 + 24.9725i 1.03339 + 1.38951i
\(324\) 0.500000 + 0.866025i 0.0277778 + 0.0481125i
\(325\) 0.212235 1.20364i 0.0117727 0.0667661i
\(326\) −15.4572 + 18.4211i −0.856092 + 1.02025i
\(327\) 2.97587 8.17613i 0.164566 0.452141i
\(328\) 0.769940 0.917579i 0.0425128 0.0506648i
\(329\) 0.178855 0.414910i 0.00986059 0.0228747i
\(330\) −2.16348 3.74725i −0.119095 0.206279i
\(331\) 33.1907i 1.82433i 0.409828 + 0.912163i \(0.365589\pi\)
−0.409828 + 0.912163i \(0.634411\pi\)
\(332\) −2.95545 3.52217i −0.162202 0.193304i
\(333\) −1.26572 1.50843i −0.0693610 0.0826612i
\(334\) 14.7363i 0.806335i
\(335\) 6.07351 + 10.5196i 0.331831 + 0.574749i
\(336\) 2.12183 1.58045i 0.115756 0.0862206i
\(337\) 13.3786 15.9440i 0.728777 0.868523i −0.266675 0.963786i \(-0.585925\pi\)
0.995452 + 0.0952639i \(0.0303695\pi\)
\(338\) 3.89266 10.6950i 0.211733 0.581731i
\(339\) 2.52170 3.00525i 0.136960 0.163223i
\(340\) −2.49179 + 14.1316i −0.135136 + 0.766396i
\(341\) 1.54595 + 2.67767i 0.0837181 + 0.145004i
\(342\) 1.24810 + 4.17639i 0.0674894 + 0.225833i
\(343\) 18.2412 + 3.20269i 0.984934 + 0.172929i
\(344\) 3.78011 + 10.3858i 0.203810 + 0.559963i
\(345\) −4.66397 12.8142i −0.251100 0.689891i
\(346\) 21.3713 3.76834i 1.14893 0.202587i
\(347\) 13.9299 5.07007i 0.747797 0.272176i 0.0601184 0.998191i \(-0.480852\pi\)
0.687678 + 0.726015i \(0.258630\pi\)
\(348\) 5.32147 + 6.34188i 0.285261 + 0.339961i
\(349\) 14.7350 8.50723i 0.788744 0.455382i −0.0507761 0.998710i \(-0.516169\pi\)
0.839520 + 0.543328i \(0.182836\pi\)
\(350\) 0.147168 2.53743i 0.00786649 0.135631i
\(351\) −1.19552 0.435135i −0.0638123 0.0232258i
\(352\) −2.12021 + 0.373850i −0.113008 + 0.0199263i
\(353\) 22.2867 12.8672i 1.18620 0.684853i 0.228760 0.973483i \(-0.426533\pi\)
0.957441 + 0.288629i \(0.0931995\pi\)
\(354\) 1.06715i 0.0567182i
\(355\) 3.09101 2.59366i 0.164054 0.137657i
\(356\) −3.37288 2.83019i −0.178762 0.150000i
\(357\) −18.7619 + 2.19758i −0.992984 + 0.116308i
\(358\) 3.89495 22.0894i 0.205855 1.16746i
\(359\) 3.45742 + 2.90112i 0.182476 + 0.153115i 0.729450 0.684034i \(-0.239776\pi\)
−0.546974 + 0.837149i \(0.684221\pi\)
\(360\) −1.00490 + 1.74055i −0.0529631 + 0.0917348i
\(361\) 1.08614 + 18.9689i 0.0571650 + 0.998365i
\(362\) −16.9544 + 9.78863i −0.891104 + 0.514479i
\(363\) 5.98109 2.17694i 0.313926 0.114260i
\(364\) −0.775468 + 3.27551i −0.0406456 + 0.171683i
\(365\) −2.86363 + 2.40287i −0.149889 + 0.125772i
\(366\) −0.267239 + 1.51559i −0.0139688 + 0.0792210i
\(367\) 9.21940 25.3301i 0.481249 1.32222i −0.427175 0.904169i \(-0.640491\pi\)
0.908424 0.418051i \(-0.137287\pi\)
\(368\) −6.78499 −0.353692
\(369\) −1.19781 −0.0623557
\(370\) 1.35356 3.71886i 0.0703680 0.193335i
\(371\) 5.82270 13.5076i 0.302300 0.701279i
\(372\) 0.718073 1.24374i 0.0372304 0.0644849i
\(373\) 26.2346 + 15.1466i 1.35838 + 0.784260i 0.989405 0.145180i \(-0.0463762\pi\)
0.368973 + 0.929440i \(0.379710\pi\)
\(374\) 14.4444 + 5.25733i 0.746902 + 0.271850i
\(375\) 4.09733 + 11.2573i 0.211585 + 0.581326i
\(376\) 0.160472 + 0.0584072i 0.00827573 + 0.00301212i
\(377\) −10.3726 1.82897i −0.534216 0.0941967i
\(378\) −2.57458 0.609525i −0.132422 0.0313506i
\(379\) 7.61093i 0.390947i 0.980709 + 0.195474i \(0.0626244\pi\)
−0.980709 + 0.195474i \(0.937376\pi\)
\(380\) −6.01498 + 6.36924i −0.308562 + 0.326735i
\(381\) −7.69123 4.44053i −0.394034 0.227495i
\(382\) −26.2616 4.63063i −1.34366 0.236924i
\(383\) 33.3240 12.1290i 1.70278 0.619761i 0.706642 0.707572i \(-0.250209\pi\)
0.996137 + 0.0878107i \(0.0279871\pi\)
\(384\) 0.642788 + 0.766044i 0.0328021 + 0.0390920i
\(385\) 11.1401 + 2.63739i 0.567752 + 0.134414i
\(386\) −1.48281 8.40945i −0.0754732 0.428030i
\(387\) 5.52615 9.57157i 0.280910 0.486550i
\(388\) 1.07004 + 1.85336i 0.0543230 + 0.0940902i
\(389\) 2.36626 1.98553i 0.119974 0.100670i −0.580827 0.814027i \(-0.697271\pi\)
0.700801 + 0.713357i \(0.252826\pi\)
\(390\) −0.444014 2.51813i −0.0224835 0.127510i
\(391\) 41.9533 + 24.2218i 2.12167 + 1.22495i
\(392\) −0.809265 + 6.95306i −0.0408740 + 0.351183i
\(393\) 15.3473 2.70615i 0.774170 0.136507i
\(394\) 14.4446 + 2.54697i 0.727707 + 0.128314i
\(395\) −2.72455 15.4517i −0.137087 0.777458i
\(396\) 1.64923 + 1.38387i 0.0828770 + 0.0695421i
\(397\) −5.37933 + 6.41083i −0.269981 + 0.321750i −0.883952 0.467578i \(-0.845127\pi\)
0.613971 + 0.789328i \(0.289571\pi\)
\(398\) −5.72536 −0.286986
\(399\) −10.3046 5.17835i −0.515875 0.259242i
\(400\) 0.960670 0.0480335
\(401\) 2.59907 3.09745i 0.129791 0.154679i −0.697235 0.716843i \(-0.745586\pi\)
0.827026 + 0.562164i \(0.190031\pi\)
\(402\) −4.62987 3.88493i −0.230917 0.193762i
\(403\) 0.317279 + 1.79938i 0.0158048 + 0.0896333i
\(404\) 4.84576 + 0.854439i 0.241086 + 0.0425099i
\(405\) 1.97928 0.349000i 0.0983510 0.0173419i
\(406\) −21.8667 1.26825i −1.08523 0.0629422i
\(407\) −3.67137 2.11967i −0.181983 0.105068i
\(408\) −1.23981 7.03133i −0.0613799 0.348103i
\(409\) −24.0491 + 20.1796i −1.18915 + 0.997815i −0.189276 + 0.981924i \(0.560614\pi\)
−0.999874 + 0.0158914i \(0.994941\pi\)
\(410\) −1.20369 2.08485i −0.0594460 0.102963i
\(411\) 0.340439 0.589657i 0.0167926 0.0290856i
\(412\) −2.23427 12.6712i −0.110074 0.624263i
\(413\) 2.05414 + 1.93704i 0.101078 + 0.0953154i
\(414\) 4.36131 + 5.19761i 0.214347 + 0.255448i
\(415\) −8.68354 + 3.16055i −0.426258 + 0.155145i
\(416\) −1.25292 0.220924i −0.0614295 0.0108317i
\(417\) 15.9947 + 9.23456i 0.783265 + 0.452218i
\(418\) 5.60025 + 7.53016i 0.273917 + 0.368312i
\(419\) 6.85421i 0.334850i −0.985885 0.167425i \(-0.946455\pi\)
0.985885 0.167425i \(-0.0535452\pi\)
\(420\) −1.52630 5.09369i −0.0744760 0.248547i
\(421\) −30.9856 5.46361i −1.51015 0.266280i −0.643595 0.765366i \(-0.722558\pi\)
−0.866552 + 0.499086i \(0.833669\pi\)
\(422\) −15.4469 5.62221i −0.751943 0.273685i
\(423\) −0.0584072 0.160472i −0.00283985 0.00780243i
\(424\) 5.22425 + 1.90147i 0.253712 + 0.0923436i
\(425\) −5.94006 3.42950i −0.288135 0.166355i
\(426\) −1.00383 + 1.73869i −0.0486359 + 0.0842398i
\(427\) −2.43226 3.26543i −0.117705 0.158025i
\(428\) 4.66044 12.8045i 0.225271 0.618926i
\(429\) −2.73905 −0.132242
\(430\) 22.2130 1.07121
\(431\) 10.9281 30.0248i 0.526389 1.44624i −0.336904 0.941539i \(-0.609380\pi\)
0.863293 0.504703i \(-0.168398\pi\)
\(432\) 0.173648 0.984808i 0.00835465 0.0473816i
\(433\) 3.34074 2.80321i 0.160545 0.134714i −0.558976 0.829184i \(-0.688806\pi\)
0.719521 + 0.694470i \(0.244361\pi\)
\(434\) 1.09065 + 3.63979i 0.0523528 + 0.174716i
\(435\) 15.6352 5.69076i 0.749653 0.272851i
\(436\) −7.53516 + 4.35043i −0.360869 + 0.208348i
\(437\) 13.2603 + 26.4358i 0.634327 + 1.26460i
\(438\) 0.929991 1.61079i 0.0444367 0.0769666i
\(439\) 20.3581 + 17.0824i 0.971637 + 0.815300i 0.982807 0.184637i \(-0.0591110\pi\)
−0.0111695 + 0.999938i \(0.503555\pi\)
\(440\) −0.751368 + 4.26122i −0.0358200 + 0.203146i
\(441\) 5.84654 3.84941i 0.278407 0.183305i
\(442\) 6.95844 + 5.83883i 0.330979 + 0.277725i
\(443\) 4.46958 3.75043i 0.212356 0.178188i −0.530405 0.847744i \(-0.677960\pi\)
0.742761 + 0.669556i \(0.233516\pi\)
\(444\) 1.96911i 0.0934498i
\(445\) −7.66360 + 4.42458i −0.363289 + 0.209745i
\(446\) −9.37480 + 1.65303i −0.443910 + 0.0782733i
\(447\) −6.02986 2.19469i −0.285203 0.103805i
\(448\) −2.64131 0.153194i −0.124790 0.00723772i
\(449\) 28.5631 16.4909i 1.34798 0.778254i 0.360013 0.932947i \(-0.382772\pi\)
0.987963 + 0.154693i \(0.0494388\pi\)
\(450\) −0.617507 0.735916i −0.0291095 0.0346914i
\(451\) −2.42328 + 0.882001i −0.114108 + 0.0415318i
\(452\) −3.86347 + 0.681235i −0.181723 + 0.0320426i
\(453\) 0.0733443 + 0.201512i 0.00344602 + 0.00946785i
\(454\) 4.27475 + 11.7448i 0.200624 + 0.551210i
\(455\) 5.65308 + 3.71612i 0.265021 + 0.174214i
\(456\) 1.72844 4.00156i 0.0809414 0.187390i
\(457\) 18.1983 + 31.5204i 0.851281 + 1.47446i 0.880053 + 0.474875i \(0.157507\pi\)
−0.0287725 + 0.999586i \(0.509160\pi\)
\(458\) 2.21406 12.5566i 0.103456 0.586730i
\(459\) −4.58938 + 5.46941i −0.214214 + 0.255290i
\(460\) −4.66397 + 12.8142i −0.217459 + 0.597463i
\(461\) −2.14731 + 2.55907i −0.100010 + 0.119188i −0.813728 0.581246i \(-0.802566\pi\)
0.713718 + 0.700433i \(0.247010\pi\)
\(462\) −5.65741 + 0.662653i −0.263207 + 0.0308294i
\(463\) −13.3833 23.1806i −0.621976 1.07729i −0.989117 0.147129i \(-0.952997\pi\)
0.367141 0.930165i \(-0.380337\pi\)
\(464\) 8.27874i 0.384331i
\(465\) −1.85533 2.21110i −0.0860388 0.102537i
\(466\) 15.9117 + 18.9628i 0.737093 + 0.878434i
\(467\) 25.5718i 1.18332i 0.806187 + 0.591661i \(0.201528\pi\)
−0.806187 + 0.591661i \(0.798472\pi\)
\(468\) 0.636124 + 1.10180i 0.0294049 + 0.0509307i
\(469\) 15.8820 1.86026i 0.733363 0.0858988i
\(470\) 0.220616 0.262920i 0.0101762 0.0121276i
\(471\) −3.08485 + 8.47557i −0.142143 + 0.390534i
\(472\) −0.685948 + 0.817481i −0.0315733 + 0.0376276i
\(473\) 4.13190 23.4332i 0.189985 1.07746i
\(474\) 3.90337 + 6.76083i 0.179288 + 0.310535i
\(475\) −1.87749 3.74297i −0.0861453 0.171739i
\(476\) 15.7850 + 10.3765i 0.723505 + 0.475604i
\(477\) −1.90147 5.22425i −0.0870624 0.239202i
\(478\) 7.16831 + 19.6948i 0.327871 + 0.900818i
\(479\) −18.6480 + 3.28815i −0.852050 + 0.150239i −0.582584 0.812770i \(-0.697958\pi\)
−0.269466 + 0.963010i \(0.586847\pi\)
\(480\) 1.88860 0.687395i 0.0862025 0.0313751i
\(481\) −1.61031 1.91909i −0.0734238 0.0875030i
\(482\) −7.76674 + 4.48413i −0.353765 + 0.204247i
\(483\) −17.9213 1.03942i −0.815447 0.0472952i
\(484\) −5.98109 2.17694i −0.271868 0.0989517i
\(485\) 4.23580 0.746886i 0.192338 0.0339144i
\(486\) −0.866025 + 0.500000i −0.0392837 + 0.0226805i
\(487\) 9.02633i 0.409022i −0.978864 0.204511i \(-0.934440\pi\)
0.978864 0.204511i \(-0.0655604\pi\)
\(488\) 1.17892 0.989229i 0.0533671 0.0447803i
\(489\) −18.4211 15.4572i −0.833032 0.698997i
\(490\) 12.5753 + 6.30788i 0.568094 + 0.284961i
\(491\) 3.43767 19.4960i 0.155140 0.879842i −0.803518 0.595281i \(-0.797041\pi\)
0.958658 0.284562i \(-0.0918481\pi\)
\(492\) 0.917579 + 0.769940i 0.0413677 + 0.0347116i
\(493\) −29.5543 + 51.1895i −1.33106 + 2.30546i
\(494\) 1.58789 + 5.31341i 0.0714425 + 0.239062i
\(495\) 3.74725 2.16348i 0.168426 0.0972411i
\(496\) −1.34954 + 0.491191i −0.0605960 + 0.0220551i
\(497\) −1.52468 5.08827i −0.0683911 0.228240i
\(498\) 3.52217 2.95545i 0.157832 0.132437i
\(499\) −6.02973 + 34.1963i −0.269928 + 1.53084i 0.484698 + 0.874681i \(0.338929\pi\)
−0.754626 + 0.656155i \(0.772182\pi\)
\(500\) 4.09733 11.2573i 0.183238 0.503443i
\(501\) 14.7363 0.658370
\(502\) −23.9432 −1.06864
\(503\) 14.3968 39.5548i 0.641921 1.76366i −0.00368677 0.999993i \(-0.501174\pi\)
0.645607 0.763669i \(-0.276604\pi\)
\(504\) 1.58045 + 2.12183i 0.0703988 + 0.0945140i
\(505\) 4.94465 8.56438i 0.220034 0.381110i
\(506\) 12.6505 + 7.30377i 0.562383 + 0.324692i
\(507\) 10.6950 + 3.89266i 0.474982 + 0.172879i
\(508\) 3.03750 + 8.34547i 0.134767 + 0.370270i
\(509\) −17.4265 6.34275i −0.772418 0.281137i −0.0744107 0.997228i \(-0.523708\pi\)
−0.698008 + 0.716090i \(0.745930\pi\)
\(510\) −14.1316 2.49179i −0.625759 0.110338i
\(511\) 1.41252 + 4.71397i 0.0624862 + 0.208534i
\(512\) 1.00000i 0.0441942i
\(513\) −4.17639 + 1.24810i −0.184392 + 0.0551048i
\(514\) 9.31824 + 5.37989i 0.411010 + 0.237297i
\(515\) −25.4666 4.49045i −1.12219 0.197873i
\(516\) −10.3858 + 3.78011i −0.457208 + 0.166410i
\(517\) −0.236325 0.281641i −0.0103936 0.0123866i
\(518\) −3.79032 3.57424i −0.166537 0.157043i
\(519\) 3.76834 + 21.3713i 0.165412 + 0.938096i
\(520\) −1.27849 + 2.21441i −0.0560654 + 0.0971081i
\(521\) 15.7410 + 27.2643i 0.689627 + 1.19447i 0.971959 + 0.235152i \(0.0755588\pi\)
−0.282332 + 0.959317i \(0.591108\pi\)
\(522\) −6.34188 + 5.32147i −0.277577 + 0.232914i
\(523\) −3.48719 19.7769i −0.152484 0.864781i −0.961050 0.276375i \(-0.910867\pi\)
0.808565 0.588406i \(-0.200244\pi\)
\(524\) −13.4962 7.79204i −0.589585 0.340397i
\(525\) 2.53743 + 0.147168i 0.110742 + 0.00642296i
\(526\) −17.6854 + 3.11840i −0.771118 + 0.135969i
\(527\) 10.0980 + 1.78055i 0.439877 + 0.0775622i
\(528\) −0.373850 2.12021i −0.0162697 0.0922703i
\(529\) 17.6467 + 14.8074i 0.767248 + 0.643798i
\(530\) 7.18225 8.55947i 0.311977 0.371800i
\(531\) 1.06715 0.0463102
\(532\) 4.56520 + 10.5905i 0.197926 + 0.459157i
\(533\) −1.52392 −0.0660082
\(534\) 2.83019 3.37288i 0.122474 0.145959i
\(535\) −20.9790 17.6034i −0.906999 0.761063i
\(536\) 1.04951 + 5.95205i 0.0453318 + 0.257089i
\(537\) 22.0894 + 3.89495i 0.953227 + 0.168080i
\(538\) −4.79449 + 0.845399i −0.206705 + 0.0364477i
\(539\) 8.99355 12.0927i 0.387380 0.520870i
\(540\) −1.74055 1.00490i −0.0749011 0.0432442i
\(541\) −7.31121 41.4639i −0.314334 1.78267i −0.575932 0.817497i \(-0.695361\pi\)
0.261599 0.965177i \(-0.415750\pi\)
\(542\) −13.7008 + 11.4964i −0.588501 + 0.493811i
\(543\) −9.78863 16.9544i −0.420070 0.727583i
\(544\) −3.56990 + 6.18325i −0.153058 + 0.265105i
\(545\) 3.03659 + 17.2214i 0.130073 + 0.737683i
\(546\) −3.27551 0.775468i −0.140179 0.0331870i
\(547\) −9.06800 10.8068i −0.387720 0.462066i 0.536515 0.843891i \(-0.319740\pi\)
−0.924235 + 0.381824i \(0.875296\pi\)
\(548\) −0.639816 + 0.232874i −0.0273316 + 0.00994788i
\(549\) −1.51559 0.267239i −0.0646837 0.0114055i
\(550\) −1.79115 1.03412i −0.0763750 0.0440951i
\(551\) −32.2557 + 16.1796i −1.37414 + 0.689275i
\(552\) 6.78499i 0.288789i
\(553\) −20.0991 4.75841i −0.854701 0.202348i
\(554\) −2.91566 0.514110i −0.123875 0.0218424i
\(555\) 3.71886 + 1.35356i 0.157857 + 0.0574552i
\(556\) −6.31681 17.3553i −0.267893 0.736029i
\(557\) −6.08977 2.21650i −0.258032 0.0939159i 0.209765 0.977752i \(-0.432730\pi\)
−0.467797 + 0.883836i \(0.654952\pi\)
\(558\) 1.24374 + 0.718073i 0.0526517 + 0.0303985i
\(559\) 7.03063 12.1774i 0.297364 0.515050i
\(560\) −2.10495 + 4.88308i −0.0889502 + 0.206348i
\(561\) −5.25733 + 14.4444i −0.221965 + 0.609843i
\(562\) −4.02285 −0.169693
\(563\) −16.7826 −0.707302 −0.353651 0.935378i \(-0.615060\pi\)
−0.353651 + 0.935378i \(0.615060\pi\)
\(564\) −0.0584072 + 0.160472i −0.00245938 + 0.00675710i
\(565\) −1.36915 + 7.76484i −0.0576006 + 0.326669i
\(566\) −2.94975 + 2.47513i −0.123987 + 0.104038i
\(567\) 0.609525 2.57458i 0.0255977 0.108122i
\(568\) 1.88659 0.686663i 0.0791596 0.0288117i
\(569\) 21.7244 12.5426i 0.910734 0.525812i 0.0300666 0.999548i \(-0.490428\pi\)
0.880667 + 0.473736i \(0.157095\pi\)
\(570\) −6.36924 6.01498i −0.266778 0.251940i
\(571\) −15.2419 + 26.3998i −0.637856 + 1.10480i 0.348047 + 0.937477i \(0.386845\pi\)
−0.985902 + 0.167321i \(0.946488\pi\)
\(572\) 2.09823 + 1.76063i 0.0877315 + 0.0736155i
\(573\) 4.63063 26.2616i 0.193448 1.09710i
\(574\) −3.14760 + 0.368679i −0.131378 + 0.0153884i
\(575\) −4.99318 4.18978i −0.208230 0.174726i
\(576\) −0.766044 + 0.642788i −0.0319185 + 0.0267828i
\(577\) 21.5795i 0.898365i 0.893440 + 0.449182i \(0.148285\pi\)
−0.893440 + 0.449182i \(0.851715\pi\)
\(578\) 29.4248 16.9884i 1.22391 0.706624i
\(579\) 8.40945 1.48281i 0.349485 0.0616236i
\(580\) −15.6352 5.69076i −0.649218 0.236296i
\(581\) −0.704364 + 12.1444i −0.0292220 + 0.503835i
\(582\) −1.85336 + 1.07004i −0.0768243 + 0.0443545i
\(583\) −7.69366 9.16895i −0.318639 0.379739i
\(584\) −1.74781 + 0.636151i −0.0723249 + 0.0263241i
\(585\) 2.51813 0.444014i 0.104112 0.0183577i
\(586\) 3.32111 + 9.12468i 0.137194 + 0.376937i
\(587\) −1.13181 3.10963i −0.0467149 0.128348i 0.914141 0.405396i \(-0.132866\pi\)
−0.960856 + 0.277048i \(0.910644\pi\)
\(588\) −6.95306 0.809265i −0.286740 0.0333735i
\(589\) 4.55126 + 4.29812i 0.187532 + 0.177101i
\(590\) 1.07238 + 1.85742i 0.0441492 + 0.0764686i
\(591\) −2.54697 + 14.4446i −0.104768 + 0.594170i
\(592\) 1.26572 1.50843i 0.0520207 0.0619959i
\(593\) 5.39287 14.8168i 0.221459 0.608452i −0.778354 0.627826i \(-0.783945\pi\)
0.999812 + 0.0193736i \(0.00616718\pi\)
\(594\) −1.38387 + 1.64923i −0.0567808 + 0.0676688i
\(595\) 30.4475 22.6789i 1.24823 0.929744i
\(596\) 3.20842 + 5.55715i 0.131422 + 0.227630i
\(597\) 5.72536i 0.234323i
\(598\) 5.54867 + 6.61265i 0.226902 + 0.270411i
\(599\) 10.1785 + 12.1302i 0.415881 + 0.495627i 0.932794 0.360411i \(-0.117363\pi\)
−0.516913 + 0.856038i \(0.672919\pi\)
\(600\) 0.960670i 0.0392192i
\(601\) 12.2931 + 21.2923i 0.501447 + 0.868531i 0.999999 + 0.00167126i \(0.000531978\pi\)
−0.498552 + 0.866860i \(0.666135\pi\)
\(602\) 11.5755 26.8530i 0.471781 1.09444i
\(603\) 3.88493 4.62987i 0.158206 0.188543i
\(604\) 0.0733443 0.201512i 0.00298434 0.00819940i
\(605\) −8.22274 + 9.79948i −0.334302 + 0.398406i
\(606\) −0.854439 + 4.84576i −0.0347092 + 0.196846i
\(607\) 23.1675 + 40.1273i 0.940339 + 1.62872i 0.764825 + 0.644239i \(0.222826\pi\)
0.175515 + 0.984477i \(0.443841\pi\)
\(608\) −3.89621 + 1.95436i −0.158012 + 0.0792597i
\(609\) 1.26825 21.8667i 0.0513921 0.886085i
\(610\) −1.05788 2.90650i −0.0428323 0.117681i
\(611\) −0.0743084 0.204161i −0.00300620 0.00825946i
\(612\) 7.03133 1.23981i 0.284225 0.0501165i
\(613\) −36.2426 + 13.1912i −1.46383 + 0.532789i −0.946416 0.322950i \(-0.895326\pi\)
−0.517409 + 0.855738i \(0.673103\pi\)
\(614\) −6.21053 7.40142i −0.250636 0.298697i
\(615\) 2.08485 1.20369i 0.0840693 0.0485374i
\(616\) 4.75977 + 3.12889i 0.191777 + 0.126067i
\(617\) −20.0997 7.31570i −0.809184 0.294519i −0.0958973 0.995391i \(-0.530572\pi\)
−0.713287 + 0.700872i \(0.752794\pi\)
\(618\) 12.6712 2.23427i 0.509709 0.0898754i
\(619\) 12.0846 6.97702i 0.485719 0.280430i −0.237078 0.971491i \(-0.576190\pi\)
0.722797 + 0.691061i \(0.242856\pi\)
\(620\) 2.88638i 0.115920i
\(621\) −5.19761 + 4.36131i −0.208573 + 0.175013i
\(622\) −23.8361 20.0009i −0.955742 0.801963i
\(623\) 1.35521 + 11.5701i 0.0542953 + 0.463547i
\(624\) 0.220924 1.25292i 0.00884402 0.0501569i
\(625\) −14.7646 12.3889i −0.590582 0.495558i
\(626\) −5.94558 + 10.2980i −0.237633 + 0.411593i
\(627\) −7.53016 + 5.60025i −0.300726 + 0.223653i
\(628\) 7.81113 4.50976i 0.311698 0.179959i
\(629\) −13.2112 + 4.80848i −0.526765 + 0.191727i
\(630\) 5.09369 1.52630i 0.202938 0.0608094i
\(631\) −6.39120 + 5.36285i −0.254430 + 0.213492i −0.761077 0.648662i \(-0.775329\pi\)
0.506647 + 0.862153i \(0.330885\pi\)
\(632\) 1.35563 7.68814i 0.0539239 0.305818i
\(633\) 5.62221 15.4469i 0.223463 0.613959i
\(634\) 6.66340 0.264638
\(635\) 17.8492 0.708326
\(636\) −1.90147 + 5.22425i −0.0753983 + 0.207155i
\(637\) 7.43825 4.89741i 0.294714 0.194042i
\(638\) −8.91172 + 15.4356i −0.352819 + 0.611100i
\(639\) −1.73869 1.00383i −0.0687815 0.0397110i
\(640\) −1.88860 0.687395i −0.0746536 0.0271717i
\(641\) 0.146564 + 0.402682i 0.00578894 + 0.0159050i 0.942553 0.334055i \(-0.108417\pi\)
−0.936765 + 0.349960i \(0.886195\pi\)
\(642\) 12.8045 + 4.66044i 0.505351 + 0.183933i
\(643\) 12.0843 + 2.13079i 0.476560 + 0.0840303i 0.406768 0.913531i \(-0.366656\pi\)
0.0697912 + 0.997562i \(0.477767\pi\)
\(644\) 13.0604 + 12.3158i 0.514651 + 0.485311i
\(645\) 22.2130i 0.874636i
\(646\) 31.0681 + 1.82481i 1.22236 + 0.0717962i
\(647\) 31.0999 + 17.9556i 1.22267 + 0.705906i 0.965485 0.260458i \(-0.0838734\pi\)
0.257180 + 0.966364i \(0.417207\pi\)
\(648\) 0.984808 + 0.173648i 0.0386869 + 0.00682154i
\(649\) 2.15892 0.785784i 0.0847452 0.0308447i
\(650\) −0.785622 0.936268i −0.0308146 0.0367234i
\(651\) −3.63979 + 1.09065i −0.142655 + 0.0427459i
\(652\) 4.17573 + 23.6817i 0.163534 + 0.927448i
\(653\) 10.5502 18.2734i 0.412859 0.715093i −0.582342 0.812944i \(-0.697863\pi\)
0.995201 + 0.0978507i \(0.0311968\pi\)
\(654\) −4.35043 7.53516i −0.170115 0.294648i
\(655\) −23.9933 + 20.1328i −0.937496 + 0.786652i
\(656\) −0.207998 1.17962i −0.00812097 0.0460563i
\(657\) 1.61079 + 0.929991i 0.0628429 + 0.0362824i
\(658\) −0.202874 0.403710i −0.00790884 0.0157382i
\(659\) −27.8512 + 4.91092i −1.08493 + 0.191302i −0.687394 0.726285i \(-0.741246\pi\)
−0.397535 + 0.917587i \(0.630134\pi\)
\(660\) −4.26122 0.751368i −0.165868 0.0292469i
\(661\) 1.16198 + 6.58989i 0.0451956 + 0.256317i 0.999031 0.0440130i \(-0.0140143\pi\)
−0.953835 + 0.300330i \(0.902903\pi\)
\(662\) 25.4256 + 21.3346i 0.988192 + 0.829192i
\(663\) −5.83883 + 6.95844i −0.226761 + 0.270244i
\(664\) −4.59787 −0.178432
\(665\) 23.1394 1.34197i 0.897306 0.0520395i
\(666\) −1.96911 −0.0763014
\(667\) −36.1061 + 43.0296i −1.39804 + 1.66611i
\(668\) −11.2887 9.47232i −0.436772 0.366495i
\(669\) −1.65303 9.37480i −0.0639099 0.362451i
\(670\) 11.9625 + 2.10931i 0.462151 + 0.0814897i
\(671\) −3.26294 + 0.575344i −0.125964 + 0.0222109i
\(672\) 0.153194 2.64131i 0.00590957 0.101891i
\(673\) 7.79878 + 4.50263i 0.300621 + 0.173564i 0.642722 0.766100i \(-0.277805\pi\)
−0.342101 + 0.939663i \(0.611138\pi\)
\(674\) −3.61420 20.4972i −0.139214 0.789521i
\(675\) 0.735916 0.617507i 0.0283254 0.0237678i
\(676\) −5.69069 9.85657i −0.218873 0.379099i
\(677\) −17.2923 + 29.9511i −0.664596 + 1.15111i 0.314798 + 0.949159i \(0.398063\pi\)
−0.979395 + 0.201956i \(0.935270\pi\)
\(678\) −0.681235 3.86347i −0.0261627 0.148376i
\(679\) 1.30443 5.50981i 0.0500595 0.211447i
\(680\) 9.22377 + 10.9925i 0.353715 + 0.421542i
\(681\) −11.7448 + 4.27475i −0.450061 + 0.163809i
\(682\) 3.04493 + 0.536904i 0.116597 + 0.0205591i
\(683\) −27.0097 15.5940i −1.03350 0.596689i −0.115512 0.993306i \(-0.536851\pi\)
−0.917984 + 0.396617i \(0.870184\pi\)
\(684\) 4.00156 + 1.72844i 0.153004 + 0.0660884i
\(685\) 1.36843i 0.0522852i
\(686\) 14.1786 11.9150i 0.541343 0.454915i
\(687\) 12.5566 + 2.21406i 0.479063 + 0.0844718i
\(688\) 10.3858 + 3.78011i 0.395953 + 0.144115i
\(689\) −2.41914 6.64654i −0.0921621 0.253213i
\(690\) −12.8142 4.66397i −0.487827 0.177554i
\(691\) −44.2386 25.5412i −1.68292 0.971632i −0.959707 0.281003i \(-0.909333\pi\)
−0.723209 0.690629i \(-0.757334\pi\)
\(692\) 10.8505 18.7936i 0.412474 0.714426i
\(693\) −0.662653 5.65741i −0.0251721 0.214907i
\(694\) 5.07007 13.9299i 0.192457 0.528772i
\(695\) −37.1194 −1.40802
\(696\) 8.27874 0.313805
\(697\) −2.92501 + 8.03640i −0.110793 + 0.304400i
\(698\) 2.95453 16.7560i 0.111831 0.634223i
\(699\) −18.9628 + 15.9117i −0.717238 + 0.601834i
\(700\) −1.84919 1.74377i −0.0698926 0.0659081i
\(701\) 15.7604 5.73631i 0.595262 0.216657i −0.0267805 0.999641i \(-0.508526\pi\)
0.622042 + 0.782984i \(0.286303\pi\)
\(702\) −1.10180 + 0.636124i −0.0415847 + 0.0240090i
\(703\) −8.35082 1.98351i −0.314957 0.0748094i
\(704\) −1.07646 + 1.86448i −0.0405706 + 0.0702703i
\(705\) 0.262920 + 0.220616i 0.00990213 + 0.00830887i
\(706\) 4.46874 25.3435i 0.168183 0.953815i
\(707\) −7.77663 10.4405i −0.292470 0.392656i
\(708\) −0.817481 0.685948i −0.0307228 0.0257795i
\(709\) −28.5647 + 23.9686i −1.07277 + 0.900159i −0.995300 0.0968354i \(-0.969128\pi\)
−0.0774678 + 0.996995i \(0.524684\pi\)
\(710\) 4.03503i 0.151432i
\(711\) −6.76083 + 3.90337i −0.253551 + 0.146388i
\(712\) −4.33610 + 0.764571i −0.162502 + 0.0286535i
\(713\) 9.15660 + 3.33273i 0.342917 + 0.124812i
\(714\) −10.3765 + 15.7850i −0.388329 + 0.590739i
\(715\) 4.76744 2.75248i 0.178292 0.102937i
\(716\) −14.4178 17.1825i −0.538819 0.642140i
\(717\) −19.6948 + 7.16831i −0.735515 + 0.267706i
\(718\) 4.44477 0.783733i 0.165877 0.0292487i
\(719\) −4.05965 11.1538i −0.151399 0.415966i 0.840687 0.541521i \(-0.182151\pi\)
−0.992087 + 0.125555i \(0.959929\pi\)
\(720\) 0.687395 + 1.88860i 0.0256177 + 0.0703841i
\(721\) −18.6994 + 28.4462i −0.696403 + 1.05939i
\(722\) 15.2292 + 11.3610i 0.566772 + 0.422811i
\(723\) −4.48413 7.76674i −0.166767 0.288848i
\(724\) −3.39956 + 19.2798i −0.126343 + 0.716529i
\(725\) 5.11217 6.09245i 0.189861 0.226268i
\(726\) 2.17694 5.98109i 0.0807938 0.221979i
\(727\) 12.4790 14.8719i 0.462820 0.551568i −0.483270 0.875472i \(-0.660551\pi\)
0.946090 + 0.323904i \(0.104995\pi\)
\(728\) 2.01072 + 2.69950i 0.0745224 + 0.100050i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) 3.73821i 0.138357i
\(731\) −50.7232 60.4495i −1.87606 2.23581i
\(732\) 0.989229 + 1.17892i 0.0365630 + 0.0435740i
\(733\) 23.4744i 0.867048i 0.901142 + 0.433524i \(0.142730\pi\)
−0.901142 + 0.433524i \(0.857270\pi\)
\(734\) −13.4779 23.3443i −0.497477 0.861655i
\(735\) −6.30788 + 12.5753i −0.232670 + 0.463846i
\(736\) −4.36131 + 5.19761i −0.160760 + 0.191586i
\(737\) 4.45035 12.2272i 0.163931 0.450396i
\(738\) −0.769940 + 0.917579i −0.0283419 + 0.0337766i
\(739\) 6.23667 35.3699i 0.229419 1.30110i −0.624634 0.780917i \(-0.714752\pi\)
0.854054 0.520185i \(-0.174137\pi\)
\(740\) −1.97877 3.42732i −0.0727409 0.125991i
\(741\) −5.31341 + 1.58789i −0.195193 + 0.0583326i
\(742\) −6.60465 13.1430i −0.242464 0.482493i
\(743\) 16.9598 + 46.5968i 0.622196 + 1.70947i 0.701547 + 0.712623i \(0.252493\pi\)
−0.0793515 + 0.996847i \(0.525285\pi\)
\(744\) −0.491191 1.34954i −0.0180079 0.0494764i
\(745\) 12.7007 2.23948i 0.465318 0.0820481i
\(746\) 28.4662 10.3609i 1.04222 0.379338i
\(747\) 2.95545 + 3.52217i 0.108134 + 0.128870i
\(748\) 13.3120 7.68571i 0.486736 0.281017i
\(749\) −32.2129 + 16.1878i −1.17703 + 0.591488i
\(750\) 11.2573 + 4.09733i 0.411060 + 0.149614i
\(751\) 29.5532 5.21102i 1.07841 0.190153i 0.393898 0.919154i \(-0.371126\pi\)
0.684513 + 0.729001i \(0.260015\pi\)
\(752\) 0.147892 0.0853855i 0.00539307 0.00311369i
\(753\) 23.9432i 0.872537i
\(754\) −8.06845 + 6.77023i −0.293836 + 0.246557i
\(755\) −0.330159 0.277036i −0.0120157 0.0100824i
\(756\) −2.12183 + 1.58045i −0.0771703 + 0.0574804i
\(757\) 5.03558 28.5582i 0.183021 1.03796i −0.745451 0.666561i \(-0.767766\pi\)
0.928472 0.371403i \(-0.121123\pi\)
\(758\) 5.83031 + 4.89221i 0.211766 + 0.177693i
\(759\) −7.30377 + 12.6505i −0.265110 + 0.459184i
\(760\) 1.01277 + 8.70181i 0.0367370 + 0.315648i
\(761\) −17.8153 + 10.2856i −0.645803 + 0.372854i −0.786846 0.617149i \(-0.788288\pi\)
0.141044 + 0.990003i \(0.454954\pi\)
\(762\) −8.34547 + 3.03750i −0.302325 + 0.110037i
\(763\) 22.4011 + 5.30339i 0.810973 + 0.191996i
\(764\) −20.4279 + 17.1411i −0.739056 + 0.620142i
\(765\) 2.49179 14.1316i 0.0900908 0.510930i
\(766\) 12.1290 33.3240i 0.438237 1.20405i
\(767\) 1.35768 0.0490228
\(768\) 1.00000 0.0360844
\(769\) 11.6613 32.0391i 0.420516 1.15536i −0.530896 0.847437i \(-0.678144\pi\)
0.951412 0.307921i \(-0.0996334\pi\)
\(770\) 9.18108 6.83853i 0.330863 0.246444i
\(771\) −5.37989 + 9.31824i −0.193752 + 0.335588i
\(772\) −7.39515 4.26959i −0.266157 0.153666i
\(773\) −43.7733 15.9322i −1.57442 0.573041i −0.600437 0.799672i \(-0.705007\pi\)
−0.973981 + 0.226631i \(0.927229\pi\)
\(774\) −3.78011 10.3858i −0.135873 0.373308i
\(775\) −1.29646 0.471872i −0.0465702 0.0169502i
\(776\) 2.10757 + 0.371621i 0.0756572 + 0.0133404i
\(777\) 3.57424 3.79032i 0.128225 0.135977i
\(778\) 3.08893i 0.110744i
\(779\) −4.18954 + 3.11580i −0.150106 + 0.111635i
\(780\) −2.21441 1.27849i −0.0792885 0.0457772i
\(781\) −4.25668 0.750567i −0.152316 0.0268574i
\(782\) 45.5220 16.5687i 1.62786 0.592494i
\(783\) −5.32147 6.34188i −0.190174 0.226640i
\(784\) 4.80617 + 5.08928i 0.171649 + 0.181760i
\(785\) −3.14781 17.8521i −0.112350 0.637169i
\(786\) 7.79204 13.4962i 0.277933 0.481394i
\(787\) 16.2555 + 28.1553i 0.579445 + 1.00363i 0.995543 + 0.0943080i \(0.0300639\pi\)
−0.416098 + 0.909320i \(0.636603\pi\)
\(788\) 11.2359 9.42803i 0.400262 0.335860i
\(789\) −3.11840 17.6854i −0.111018 0.629615i
\(790\) −13.5880 7.84502i −0.483439 0.279113i
\(791\) 8.67332 + 5.70150i 0.308388 + 0.202722i
\(792\) 2.12021 0.373850i 0.0753384 0.0132842i
\(793\) −1.92820 0.339994i −0.0684725 0.0120736i
\(794\) 1.45322 + 8.24161i 0.0515728 + 0.292484i
\(795\) 8.55947 + 7.18225i 0.303573 + 0.254728i
\(796\) −3.68019 + 4.38588i −0.130441 + 0.155453i
\(797\) 2.74213 0.0971312 0.0485656 0.998820i \(-0.484535\pi\)
0.0485656 + 0.998820i \(0.484535\pi\)
\(798\) −10.5905 + 4.56520i −0.374900 + 0.161606i
\(799\) −1.21927 −0.0431347
\(800\) 0.617507 0.735916i 0.0218322 0.0260185i
\(801\) 3.37288 + 2.83019i 0.119175 + 0.0999997i
\(802\) −0.702135 3.98201i −0.0247932 0.140609i
\(803\) 3.94355 + 0.695355i 0.139165 + 0.0245385i
\(804\) −5.95205 + 1.04951i −0.209913 + 0.0370133i
\(805\) 32.2373 16.2000i 1.13622 0.570976i
\(806\) 1.58235 + 0.913568i 0.0557357 + 0.0321790i
\(807\) −0.845399 4.79449i −0.0297594 0.168774i
\(808\) 3.76933 3.16285i 0.132605 0.111269i
\(809\) −20.3504 35.2479i −0.715481 1.23925i −0.962774 0.270308i \(-0.912874\pi\)
0.247293 0.968941i \(-0.420459\pi\)
\(810\) 1.00490 1.74055i 0.0353087 0.0611565i
\(811\) −3.15946 17.9182i −0.110944 0.629193i −0.988679 0.150047i \(-0.952057\pi\)
0.877735 0.479146i \(-0.159054\pi\)
\(812\) −15.0272 + 15.9357i −0.527351 + 0.559233i
\(813\) −11.4964 13.7008i −0.403195 0.480509i
\(814\) −3.98367 + 1.44994i −0.139628 + 0.0508203i
\(815\) 47.5957 + 8.39241i 1.66721 + 0.293973i
\(816\) −6.18325 3.56990i −0.216457 0.124972i
\(817\) −5.56939 47.8528i −0.194848 1.67416i
\(818\) 31.3938i 1.09766i
\(819\) 0.775468 3.27551i 0.0270970 0.114456i
\(820\) −2.37080 0.418037i −0.0827921 0.0145985i
\(821\) 15.7490 + 5.73218i 0.549645 + 0.200055i 0.601889 0.798580i \(-0.294415\pi\)
−0.0522436 + 0.998634i \(0.516637\pi\)
\(822\) −0.232874 0.639816i −0.00812241 0.0223161i
\(823\) 13.6587 + 4.97134i 0.476111 + 0.173290i 0.568919 0.822394i \(-0.307362\pi\)
−0.0928077 + 0.995684i \(0.529584\pi\)
\(824\) −11.1428 6.43332i −0.388179 0.224115i
\(825\) 1.03412 1.79115i 0.0360035 0.0623599i
\(826\) 2.80423 0.328460i 0.0975717 0.0114286i
\(827\) 9.71568 26.6936i 0.337847 0.928228i −0.648157 0.761507i \(-0.724460\pi\)
0.986004 0.166721i \(-0.0533179\pi\)
\(828\) 6.78499 0.235795
\(829\) 7.77470 0.270027 0.135013 0.990844i \(-0.456892\pi\)
0.135013 + 0.990844i \(0.456892\pi\)
\(830\) −3.16055 + 8.68354i −0.109704 + 0.301410i
\(831\) 0.514110 2.91566i 0.0178343 0.101143i
\(832\) −0.974599 + 0.817786i −0.0337881 + 0.0283516i
\(833\) −11.5495 48.6258i −0.400168 1.68479i
\(834\) 17.3553 6.31681i 0.600965 0.218733i
\(835\) −25.6492 + 14.8086i −0.887628 + 0.512472i
\(836\) 9.36821 + 0.550249i 0.324006 + 0.0190308i
\(837\) −0.718073 + 1.24374i −0.0248202 + 0.0429899i
\(838\) −5.25063 4.40580i −0.181380 0.152196i
\(839\) −6.12644 + 34.7448i −0.211508 + 1.19952i 0.675356 + 0.737492i \(0.263990\pi\)
−0.886864 + 0.462030i \(0.847121\pi\)
\(840\) −4.88308 2.10495i −0.168482 0.0726276i
\(841\) −30.2875 25.4142i −1.04440 0.876352i
\(842\) −24.1026 + 20.2244i −0.830629 + 0.696980i
\(843\) 4.02285i 0.138554i
\(844\) −14.2359 + 8.21912i −0.490021 + 0.282914i
\(845\) −22.5269 + 3.97210i −0.774949 + 0.136644i
\(846\) −0.160472 0.0584072i −0.00551715 0.00200808i
\(847\) 7.56147 + 15.0470i 0.259815 + 0.517020i
\(848\) 4.81470 2.77977i 0.165337 0.0954575i
\(849\) −2.47513 2.94975i −0.0849463 0.101235i
\(850\) −6.44534 + 2.34591i −0.221074 + 0.0804642i
\(851\) −13.1574 + 2.32001i −0.451031 + 0.0795289i
\(852\) 0.686663 + 1.88659i 0.0235247 + 0.0646335i
\(853\) −12.8313 35.2537i −0.439335 1.20706i −0.939926 0.341379i \(-0.889106\pi\)
0.500591 0.865684i \(-0.333116\pi\)
\(854\) −4.06489 0.235760i −0.139098 0.00806754i
\(855\) 6.01498 6.36924i 0.205708 0.217824i
\(856\) −6.81311 11.8006i −0.232867 0.403338i
\(857\) 0.924947 5.24563i 0.0315956 0.179187i −0.964926 0.262522i \(-0.915446\pi\)
0.996522 + 0.0833344i \(0.0265570\pi\)
\(858\) −1.76063 + 2.09823i −0.0601068 + 0.0716325i
\(859\) 6.86834 18.8706i 0.234345 0.643857i −0.765655 0.643252i \(-0.777585\pi\)
1.00000 0.000605784i \(-0.000192827\pi\)
\(860\) 14.2782 17.0161i 0.486884 0.580246i
\(861\) −0.368679 3.14760i −0.0125645 0.107270i
\(862\) −15.9758 27.6710i −0.544139 0.942477i
\(863\) 30.5352i 1.03943i −0.854340 0.519714i \(-0.826038\pi\)
0.854340 0.519714i \(-0.173962\pi\)
\(864\) −0.642788 0.766044i −0.0218681 0.0260614i
\(865\) −28.0351 33.4109i −0.953221 1.13601i
\(866\) 4.36102i 0.148193i
\(867\) 16.9884 + 29.4248i 0.576956 + 0.999318i
\(868\) 3.48930 + 1.50413i 0.118435 + 0.0510535i
\(869\) −10.8035 + 12.8751i −0.366484 + 0.436758i
\(870\) 5.69076 15.6352i 0.192935 0.530084i
\(871\) 4.94259 5.89035i 0.167473 0.199587i
\(872\) −1.51089 + 8.56867i −0.0511651 + 0.290172i
\(873\) −1.07004 1.85336i −0.0362153 0.0627268i
\(874\) 28.7746 + 6.83461i 0.973314 + 0.231184i
\(875\) −28.3207 + 14.2318i −0.957416 + 0.481124i
\(876\) −0.636151 1.74781i −0.0214936 0.0590531i
\(877\) −19.4498 53.4380i −0.656774 1.80447i −0.591052 0.806634i \(-0.701287\pi\)
−0.0657224 0.997838i \(-0.520935\pi\)
\(878\) 26.1718 4.61480i 0.883256 0.155742i
\(879\) −9.12468 + 3.32111i −0.307768 + 0.112018i
\(880\) 2.78131 + 3.31464i 0.0937580 + 0.111736i
\(881\) −32.3036 + 18.6505i −1.08834 + 0.628352i −0.933133 0.359531i \(-0.882937\pi\)
−0.155204 + 0.987882i \(0.549603\pi\)
\(882\) 0.809265 6.95306i 0.0272494 0.234122i
\(883\) 40.6929 + 14.8110i 1.36943 + 0.498431i 0.918956 0.394361i \(-0.129034\pi\)
0.450471 + 0.892791i \(0.351256\pi\)
\(884\) 8.94560 1.57735i 0.300873 0.0530521i
\(885\) −1.85742 + 1.07238i −0.0624364 + 0.0360476i
\(886\) 5.83463i 0.196018i
\(887\) −34.0048 + 28.5334i −1.14177 + 0.958059i −0.999495 0.0317680i \(-0.989886\pi\)
−0.142275 + 0.989827i \(0.545442\pi\)
\(888\) 1.50843 + 1.26572i 0.0506194 + 0.0424747i
\(889\) 9.30147 21.5777i 0.311961 0.723692i
\(890\) −1.53664 + 8.71472i −0.0515083 + 0.292118i
\(891\) −1.64923 1.38387i −0.0552513 0.0463614i
\(892\) −4.75971 + 8.24406i −0.159367 + 0.276032i
\(893\) −0.621715 0.409345i −0.0208049 0.0136982i
\(894\) −5.55715 + 3.20842i −0.185859 + 0.107306i
\(895\) −42.3616 + 15.4184i −1.41599 + 0.515379i
\(896\) −1.81516 + 1.92489i −0.0606401 + 0.0643061i
\(897\) −6.61265 + 5.54867i −0.220790 + 0.185265i
\(898\) 5.72723 32.4808i 0.191120 1.08390i
\(899\) −4.06644 + 11.1725i −0.135623 + 0.372622i
\(900\) −0.960670 −0.0320223
\(901\) −39.6940 −1.32240
\(902\) −0.882001 + 2.42328i −0.0293674 + 0.0806863i
\(903\) 26.8530 + 11.5755i 0.893610 + 0.385208i
\(904\) −1.96154 + 3.39748i −0.0652397 + 0.112999i
\(905\) 34.0751 + 19.6733i 1.13269 + 0.653962i
\(906\) 0.201512 + 0.0733443i 0.00669478 + 0.00243670i
\(907\) 15.8184 + 43.4606i 0.525240 + 1.44308i 0.864616 + 0.502434i \(0.167562\pi\)
−0.339376 + 0.940651i \(0.610216\pi\)
\(908\) 11.7448 + 4.27475i 0.389764 + 0.141863i
\(909\) −4.84576 0.854439i −0.160724 0.0283399i
\(910\) 6.48044 1.94184i 0.214825 0.0643713i
\(911\) 36.9367i 1.22377i −0.790948 0.611884i \(-0.790412\pi\)
0.790948 0.611884i \(-0.209588\pi\)
\(912\) −1.95436 3.89621i −0.0647153 0.129017i
\(913\) 8.57264 + 4.94942i 0.283713 + 0.163802i
\(914\) 35.8437 + 6.32020i 1.18560 + 0.209054i
\(915\) 2.90650 1.05788i 0.0960859 0.0349724i
\(916\) −8.19572 9.76728i −0.270794 0.322720i
\(917\) 11.8350 + 39.4966i 0.390825 + 1.30429i
\(918\) 1.23981 + 7.03133i 0.0409200 + 0.232069i
\(919\) −1.29120 + 2.23643i −0.0425928 + 0.0737730i −0.886536 0.462660i \(-0.846895\pi\)
0.843943 + 0.536433i \(0.180228\pi\)
\(920\) 6.81827 + 11.8096i 0.224792 + 0.389351i
\(921\) 7.40142 6.21053i 0.243885 0.204644i
\(922\) 0.580094 + 3.28988i 0.0191044 + 0.108346i
\(923\) −2.21205 1.27713i −0.0728104 0.0420371i
\(924\) −3.12889 + 4.75977i −0.102933 + 0.156585i
\(925\) 1.86292 0.328484i 0.0612526 0.0108005i
\(926\) −26.3600 4.64798i −0.866244 0.152742i
\(927\) 2.23427 + 12.6712i 0.0733830 + 0.416176i
\(928\) −6.34188 5.32147i −0.208182 0.174686i
\(929\) −5.13420 + 6.11870i −0.168448 + 0.200748i −0.843664 0.536872i \(-0.819606\pi\)
0.675216 + 0.737620i \(0.264050\pi\)
\(930\) −2.88638 −0.0946481
\(931\) 10.4359 28.6721i 0.342024 0.939691i
\(932\) 24.7541 0.810849
\(933\) 20.0009 23.8361i 0.654800 0.780360i
\(934\) 19.5891 + 16.4372i 0.640976 + 0.537843i
\(935\) −5.36462 30.4243i −0.175442 0.994980i
\(936\) 1.25292 + 0.220924i 0.0409530 + 0.00722111i
\(937\) 46.4360 8.18792i 1.51700 0.267488i 0.647746 0.761856i \(-0.275712\pi\)
0.869252 + 0.494369i \(0.164601\pi\)
\(938\) 8.78371 13.3621i 0.286798 0.436287i
\(939\) −10.2980 5.94558i −0.336064 0.194027i
\(940\) −0.0595990 0.338003i −0.00194391 0.0110244i
\(941\) −28.9793 + 24.3165i −0.944698 + 0.792695i −0.978397 0.206737i \(-0.933716\pi\)
0.0336990 + 0.999432i \(0.489271\pi\)
\(942\) 4.50976 + 7.81113i 0.146936 + 0.254500i
\(943\) −4.06358 + 7.03833i −0.132328 + 0.229200i
\(944\) 0.185308 + 1.05093i 0.00603126 + 0.0342050i
\(945\) 1.52630 + 5.09369i 0.0496506 + 0.165698i
\(946\) −15.2949 18.2278i −0.497281 0.592637i
\(947\) 32.3218 11.7642i 1.05032 0.382284i 0.241534 0.970392i \(-0.422349\pi\)
0.808782 + 0.588108i \(0.200127\pi\)
\(948\) 7.68814 + 1.35563i 0.249699 + 0.0440287i
\(949\) 2.04933 + 1.18318i 0.0665240 + 0.0384076i
\(950\) −4.07411 0.967694i −0.132182 0.0313962i
\(951\) 6.66340i 0.216076i
\(952\) 18.0952 5.42216i 0.586470 0.175733i
\(953\) 11.8079 + 2.08205i 0.382495 + 0.0674443i 0.361590 0.932337i \(-0.382234\pi\)
0.0209054 + 0.999781i \(0.493345\pi\)
\(954\) −5.22425 1.90147i −0.169141 0.0615624i
\(955\) 18.3306 + 50.3629i 0.593164 + 1.62971i
\(956\) 19.6948 + 7.16831i 0.636975 + 0.231840i
\(957\) −15.4356 8.91172i −0.498961 0.288075i
\(958\) −9.46785 + 16.3988i −0.305892 + 0.529821i
\(959\) 1.65428 + 0.713108i 0.0534194 + 0.0230275i
\(960\) 0.687395 1.88860i 0.0221856 0.0609544i
\(961\) −28.9375 −0.933467
\(962\) −2.50520 −0.0807708
\(963\) −4.66044 + 12.8045i −0.150181 + 0.412618i
\(964\) −1.55732 + 8.83201i −0.0501580 + 0.284460i
\(965\) −13.1469 + 11.0316i −0.423215 + 0.355120i
\(966\) −12.3158 + 13.0604i −0.396255 + 0.420211i
\(967\) −24.0938 + 8.76944i −0.774806 + 0.282006i −0.699005 0.715117i \(-0.746373\pi\)
−0.0758006 + 0.997123i \(0.524151\pi\)
\(968\) −5.51220 + 3.18247i −0.177169 + 0.102288i
\(969\) −1.82481 + 31.0681i −0.0586214 + 0.998052i
\(970\) 2.15057 3.72490i 0.0690507 0.119599i
\(971\) 18.1620 + 15.2397i 0.582847 + 0.489066i 0.885881 0.463913i \(-0.153555\pi\)
−0.303034 + 0.952980i \(0.598000\pi\)
\(972\) −0.173648 + 0.984808i −0.00556977 + 0.0315877i
\(973\) −19.3434 + 44.8731i −0.620121 + 1.43856i
\(974\) −6.91457 5.80201i −0.221557 0.185908i
\(975\) 0.936268 0.785622i 0.0299846 0.0251600i
\(976\) 1.53897i 0.0492612i
\(977\) 6.44756 3.72250i 0.206276 0.119093i −0.393304 0.919409i \(-0.628668\pi\)
0.599579 + 0.800315i \(0.295335\pi\)
\(978\) −23.6817 + 4.17573i −0.757258 + 0.133525i
\(979\) 8.90760 + 3.24210i 0.284688 + 0.103618i
\(980\) 12.9154 5.57860i 0.412566 0.178202i
\(981\) 7.53516 4.35043i 0.240579 0.138898i
\(982\) −12.7251 15.1652i −0.406075 0.483941i
\(983\) −7.42459 + 2.70233i −0.236808 + 0.0861909i −0.457698 0.889108i \(-0.651326\pi\)
0.220890 + 0.975299i \(0.429104\pi\)
\(984\) 1.17962 0.207998i 0.0376048 0.00663074i
\(985\) −10.0823 27.7009i −0.321249 0.882624i
\(986\) 20.2163 + 55.5439i 0.643819 + 1.76888i
\(987\) 0.403710 0.202874i 0.0128502 0.00645754i
\(988\) 5.09098 + 2.19900i 0.161966 + 0.0699595i
\(989\) −37.4949 64.9430i −1.19227 2.06507i
\(990\) 0.751368 4.26122i 0.0238800 0.135430i
\(991\) 2.66517 3.17622i 0.0846618 0.100896i −0.722051 0.691840i \(-0.756800\pi\)
0.806712 + 0.590944i \(0.201245\pi\)
\(992\) −0.491191 + 1.34954i −0.0155953 + 0.0428478i
\(993\) −21.3346 + 25.4256i −0.677032 + 0.806855i
\(994\) −4.87788 2.10270i −0.154717 0.0666937i
\(995\) 5.75343 + 9.96524i 0.182396 + 0.315919i
\(996\) 4.59787i 0.145689i
\(997\) 33.8397 + 40.3286i 1.07171 + 1.27722i 0.958943 + 0.283597i \(0.0915279\pi\)
0.112770 + 0.993621i \(0.464028\pi\)
\(998\) 22.3200 + 26.6000i 0.706529 + 0.842008i
\(999\) 1.96911i 0.0622999i
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 798.2.ca.b.451.10 84
7.5 odd 6 798.2.cj.b.565.3 yes 84
19.15 odd 18 798.2.cj.b.661.3 yes 84
133.110 even 18 inner 798.2.ca.b.775.10 yes 84
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
798.2.ca.b.451.10 84 1.1 even 1 trivial
798.2.ca.b.775.10 yes 84 133.110 even 18 inner
798.2.cj.b.565.3 yes 84 7.5 odd 6
798.2.cj.b.661.3 yes 84 19.15 odd 18