Properties

Label 201.2.j.a.5.4
Level $201$
Weight $2$
Character 201.5
Analytic conductor $1.605$
Analytic rank $0$
Dimension $200$
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] = [201,2,Mod(5,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.j (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(20\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.4
Character \(\chi\) \(=\) 201.5
Dual form 201.2.j.a.161.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.36124 + 1.57095i) q^{2} +(0.885763 - 1.48843i) q^{3} +(-0.330294 - 2.29725i) q^{4} +(1.00399 - 0.294799i) q^{5} +(1.13252 + 3.41760i) q^{6} +(-0.415510 - 0.360042i) q^{7} +(0.561099 + 0.360596i) q^{8} +(-1.43085 - 2.63679i) q^{9} +O(q^{10})\) \(q+(-1.36124 + 1.57095i) q^{2} +(0.885763 - 1.48843i) q^{3} +(-0.330294 - 2.29725i) q^{4} +(1.00399 - 0.294799i) q^{5} +(1.13252 + 3.41760i) q^{6} +(-0.415510 - 0.360042i) q^{7} +(0.561099 + 0.360596i) q^{8} +(-1.43085 - 2.63679i) q^{9} +(-0.903560 + 1.97852i) q^{10} +(5.65989 - 1.66189i) q^{11} +(-3.71185 - 1.54320i) q^{12} +(-1.39081 - 2.16414i) q^{13} +(1.13122 - 0.162645i) q^{14} +(0.450513 - 1.75550i) q^{15} +(3.12344 - 0.917126i) q^{16} +(1.29279 + 0.185875i) q^{17} +(6.09001 + 1.34151i) q^{18} +(2.01688 + 2.32761i) q^{19} +(-1.00884 - 2.20905i) q^{20} +(-0.903941 + 0.299546i) q^{21} +(-5.09370 + 11.1537i) q^{22} +(1.49687 - 0.683597i) q^{23} +(1.03372 - 0.515754i) q^{24} +(-3.28517 + 2.11125i) q^{25} +(5.29300 + 0.761018i) q^{26} +(-5.19207 - 0.205858i) q^{27} +(-0.689864 + 1.07345i) q^{28} +3.56852i q^{29} +(2.14455 + 3.09739i) q^{30} +(-0.352089 + 0.547862i) q^{31} +(-3.36514 + 7.36863i) q^{32} +(2.53971 - 9.89639i) q^{33} +(-2.05180 + 1.77790i) q^{34} +(-0.523310 - 0.238988i) q^{35} +(-5.58476 + 4.15792i) q^{36} +10.2010 q^{37} -6.40202 q^{38} +(-4.45311 + 0.153205i) q^{39} +(0.669644 + 0.196625i) q^{40} +(0.510014 - 3.54722i) q^{41} +(0.759906 - 1.82780i) q^{42} +(-8.06417 - 1.15945i) q^{43} +(-5.68720 - 12.4532i) q^{44} +(-2.21389 - 2.22551i) q^{45} +(-0.963697 + 3.28205i) q^{46} +(-8.00388 + 3.65525i) q^{47} +(1.40155 - 5.46138i) q^{48} +(-0.953185 - 6.62955i) q^{49} +(1.15523 - 8.03477i) q^{50} +(1.42177 - 1.75959i) q^{51} +(-4.51219 + 3.90984i) q^{52} +(0.0637175 + 0.443165i) q^{53} +(7.39105 - 7.87629i) q^{54} +(5.19257 - 3.33706i) q^{55} +(-0.103313 - 0.351851i) q^{56} +(5.25096 - 0.940280i) q^{57} +(-5.60597 - 4.85760i) q^{58} +(-1.20235 + 1.87089i) q^{59} +(-4.18161 - 0.455108i) q^{60} +(-2.16231 + 7.36416i) q^{61} +(-0.381388 - 1.29889i) q^{62} +(-0.354824 + 1.61078i) q^{63} +(-4.29041 - 9.39468i) q^{64} +(-2.03435 - 1.76278i) q^{65} +(12.0896 + 17.4611i) q^{66} +(-8.17936 - 0.313121i) q^{67} -3.03125i q^{68} +(0.308385 - 2.83349i) q^{69} +(1.08779 - 0.496776i) q^{70} +(-9.91667 + 1.42580i) q^{71} +(0.147971 - 1.99546i) q^{72} +(1.98133 + 0.581771i) q^{73} +(-13.8860 + 16.0254i) q^{74} +(0.232566 + 6.75981i) q^{75} +(4.68092 - 5.40207i) q^{76} +(-2.95009 - 1.34726i) q^{77} +(5.82106 - 7.20417i) q^{78} +(7.84977 + 12.2145i) q^{79} +(2.86555 - 1.84158i) q^{80} +(-4.90535 + 7.54570i) q^{81} +(4.87827 + 5.62983i) q^{82} +(4.36439 + 14.8638i) q^{83} +(0.986698 + 1.97764i) q^{84} +(1.35275 - 0.194496i) q^{85} +(12.7987 - 11.0902i) q^{86} +(5.31148 + 3.16086i) q^{87} +(3.77503 + 1.10845i) q^{88} +(1.07390 + 0.490435i) q^{89} +(6.50980 - 0.448460i) q^{90} +(-0.201286 + 1.39997i) q^{91} +(-2.06480 - 3.21289i) q^{92} +(0.503586 + 1.00934i) q^{93} +(5.15297 - 17.5494i) q^{94} +(2.71111 + 1.74233i) q^{95} +(7.98697 + 11.5356i) q^{96} -16.0174i q^{97} +(11.7122 + 7.52699i) q^{98} +(-12.4805 - 12.5460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9} - 10 q^{10} - 44 q^{12} - 22 q^{13} - 13 q^{15} - 34 q^{16} - 11 q^{18} - 24 q^{19} + 43 q^{21} - 82 q^{22} + 53 q^{24} - 18 q^{25} - 11 q^{27} - 110 q^{28} + 22 q^{31} - 32 q^{33} - 22 q^{34} + 33 q^{36} - 68 q^{37} - 69 q^{39} + 10 q^{40} - 11 q^{42} - 44 q^{43} + 99 q^{45} + 66 q^{46} + 99 q^{48} + 26 q^{49} - 11 q^{51} + 176 q^{52} - 128 q^{54} + 30 q^{55} - 11 q^{57} + 66 q^{58} + 5 q^{60} - 110 q^{61} - 11 q^{63} + 170 q^{64} - 32 q^{67} - 11 q^{69} - 66 q^{70} - 121 q^{72} + 150 q^{73} - 22 q^{75} - 94 q^{76} - 11 q^{78} + 132 q^{79} + 63 q^{81} + 76 q^{82} - 101 q^{84} - 22 q^{85} + 88 q^{87} - 114 q^{88} - 85 q^{90} - 174 q^{91} - 75 q^{93} + 22 q^{94} - 250 q^{96} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36124 + 1.57095i −0.962542 + 1.11083i 0.0312430 + 0.999512i \(0.490053\pi\)
−0.993785 + 0.111320i \(0.964492\pi\)
\(3\) 0.885763 1.48843i 0.511396 0.859345i
\(4\) −0.330294 2.29725i −0.165147 1.14862i
\(5\) 1.00399 0.294799i 0.449000 0.131838i −0.0494124 0.998778i \(-0.515735\pi\)
0.498412 + 0.866940i \(0.333917\pi\)
\(6\) 1.13252 + 3.41760i 0.462349 + 1.39523i
\(7\) −0.415510 0.360042i −0.157048 0.136083i 0.572792 0.819701i \(-0.305860\pi\)
−0.729840 + 0.683618i \(0.760406\pi\)
\(8\) 0.561099 + 0.360596i 0.198378 + 0.127490i
\(9\) −1.43085 2.63679i −0.476949 0.878931i
\(10\) −0.903560 + 1.97852i −0.285731 + 0.625663i
\(11\) 5.65989 1.66189i 1.70652 0.501079i 0.724407 0.689372i \(-0.242114\pi\)
0.982113 + 0.188293i \(0.0602955\pi\)
\(12\) −3.71185 1.54320i −1.07152 0.445482i
\(13\) −1.39081 2.16414i −0.385742 0.600226i 0.593030 0.805180i \(-0.297932\pi\)
−0.978771 + 0.204955i \(0.934295\pi\)
\(14\) 1.13122 0.162645i 0.302331 0.0434686i
\(15\) 0.450513 1.75550i 0.116322 0.453267i
\(16\) 3.12344 0.917126i 0.780861 0.229281i
\(17\) 1.29279 + 0.185875i 0.313548 + 0.0450814i 0.297292 0.954786i \(-0.403916\pi\)
0.0162556 + 0.999868i \(0.494825\pi\)
\(18\) 6.09001 + 1.34151i 1.43543 + 0.316197i
\(19\) 2.01688 + 2.32761i 0.462704 + 0.533989i 0.938368 0.345638i \(-0.112337\pi\)
−0.475663 + 0.879627i \(0.657792\pi\)
\(20\) −1.00884 2.20905i −0.225583 0.493959i
\(21\) −0.903941 + 0.299546i −0.197256 + 0.0653664i
\(22\) −5.09370 + 11.1537i −1.08598 + 2.37797i
\(23\) 1.49687 0.683597i 0.312119 0.142540i −0.253196 0.967415i \(-0.581482\pi\)
0.565315 + 0.824875i \(0.308755\pi\)
\(24\) 1.03372 0.515754i 0.211008 0.105278i
\(25\) −3.28517 + 2.11125i −0.657034 + 0.422250i
\(26\) 5.29300 + 0.761018i 1.03804 + 0.149248i
\(27\) −5.19207 0.205858i −0.999215 0.0396174i
\(28\) −0.689864 + 1.07345i −0.130372 + 0.202863i
\(29\) 3.56852i 0.662657i 0.943516 + 0.331328i \(0.107497\pi\)
−0.943516 + 0.331328i \(0.892503\pi\)
\(30\) 2.14455 + 3.09739i 0.391539 + 0.565503i
\(31\) −0.352089 + 0.547862i −0.0632371 + 0.0983989i −0.871432 0.490516i \(-0.836808\pi\)
0.808195 + 0.588915i \(0.200445\pi\)
\(32\) −3.36514 + 7.36863i −0.594878 + 1.30260i
\(33\) 2.53971 9.89639i 0.442106 1.72274i
\(34\) −2.05180 + 1.77790i −0.351881 + 0.304907i
\(35\) −0.523310 0.238988i −0.0884555 0.0403963i
\(36\) −5.58476 + 4.15792i −0.930793 + 0.692987i
\(37\) 10.2010 1.67704 0.838520 0.544871i \(-0.183421\pi\)
0.838520 + 0.544871i \(0.183421\pi\)
\(38\) −6.40202 −1.03854
\(39\) −4.45311 + 0.153205i −0.713068 + 0.0245325i
\(40\) 0.669644 + 0.196625i 0.105880 + 0.0310892i
\(41\) 0.510014 3.54722i 0.0796507 0.553983i −0.910449 0.413620i \(-0.864264\pi\)
0.990100 0.140363i \(-0.0448268\pi\)
\(42\) 0.759906 1.82780i 0.117256 0.282036i
\(43\) −8.06417 1.15945i −1.22978 0.176815i −0.503363 0.864075i \(-0.667904\pi\)
−0.726412 + 0.687260i \(0.758813\pi\)
\(44\) −5.68720 12.4532i −0.857378 1.87740i
\(45\) −2.21389 2.22551i −0.330027 0.331760i
\(46\) −0.963697 + 3.28205i −0.142089 + 0.483912i
\(47\) −8.00388 + 3.65525i −1.16749 + 0.533173i −0.902335 0.431035i \(-0.858149\pi\)
−0.265150 + 0.964207i \(0.585421\pi\)
\(48\) 1.40155 5.46138i 0.202297 0.788283i
\(49\) −0.953185 6.62955i −0.136169 0.947078i
\(50\) 1.15523 8.03477i 0.163374 1.13629i
\(51\) 1.42177 1.75959i 0.199088 0.246392i
\(52\) −4.51219 + 3.90984i −0.625729 + 0.542197i
\(53\) 0.0637175 + 0.443165i 0.00875227 + 0.0608733i 0.993730 0.111811i \(-0.0356651\pi\)
−0.984977 + 0.172684i \(0.944756\pi\)
\(54\) 7.39105 7.87629i 1.00579 1.07183i
\(55\) 5.19257 3.33706i 0.700166 0.449969i
\(56\) −0.103313 0.351851i −0.0138057 0.0470180i
\(57\) 5.25096 0.940280i 0.695506 0.124543i
\(58\) −5.60597 4.85760i −0.736100 0.637835i
\(59\) −1.20235 + 1.87089i −0.156533 + 0.243570i −0.910658 0.413161i \(-0.864425\pi\)
0.754125 + 0.656731i \(0.228061\pi\)
\(60\) −4.18161 0.455108i −0.539843 0.0587542i
\(61\) −2.16231 + 7.36416i −0.276856 + 0.942884i 0.697257 + 0.716821i \(0.254404\pi\)
−0.974113 + 0.226063i \(0.927415\pi\)
\(62\) −0.381388 1.29889i −0.0484363 0.164959i
\(63\) −0.354824 + 1.61078i −0.0447036 + 0.202939i
\(64\) −4.29041 9.39468i −0.536301 1.17433i
\(65\) −2.03435 1.76278i −0.252330 0.218646i
\(66\) 12.0896 + 17.4611i 1.48813 + 2.14931i
\(67\) −8.17936 0.313121i −0.999268 0.0382538i
\(68\) 3.03125i 0.367593i
\(69\) 0.308385 2.83349i 0.0371252 0.341112i
\(70\) 1.08779 0.496776i 0.130016 0.0593761i
\(71\) −9.91667 + 1.42580i −1.17689 + 0.169212i −0.702881 0.711307i \(-0.748103\pi\)
−0.474011 + 0.880519i \(0.657194\pi\)
\(72\) 0.147971 1.99546i 0.0174386 0.235167i
\(73\) 1.98133 + 0.581771i 0.231897 + 0.0680912i 0.395617 0.918416i \(-0.370531\pi\)
−0.163719 + 0.986507i \(0.552349\pi\)
\(74\) −13.8860 + 16.0254i −1.61422 + 1.86291i
\(75\) 0.232566 + 6.75981i 0.0268544 + 0.780556i
\(76\) 4.68092 5.40207i 0.536938 0.619660i
\(77\) −2.95009 1.34726i −0.336194 0.153535i
\(78\) 5.82106 7.20417i 0.659106 0.815712i
\(79\) 7.84977 + 12.2145i 0.883169 + 1.37424i 0.926946 + 0.375196i \(0.122425\pi\)
−0.0437769 + 0.999041i \(0.513939\pi\)
\(80\) 2.86555 1.84158i 0.320378 0.205895i
\(81\) −4.90535 + 7.54570i −0.545039 + 0.838411i
\(82\) 4.87827 + 5.62983i 0.538715 + 0.621710i
\(83\) 4.36439 + 14.8638i 0.479054 + 1.63151i 0.744672 + 0.667430i \(0.232606\pi\)
−0.265618 + 0.964078i \(0.585576\pi\)
\(84\) 0.986698 + 1.97764i 0.107658 + 0.215778i
\(85\) 1.35275 0.194496i 0.146726 0.0210961i
\(86\) 12.7987 11.0902i 1.38012 1.19588i
\(87\) 5.31148 + 3.16086i 0.569451 + 0.338880i
\(88\) 3.77503 + 1.10845i 0.402419 + 0.118161i
\(89\) 1.07390 + 0.490435i 0.113833 + 0.0519860i 0.471518 0.881857i \(-0.343706\pi\)
−0.357684 + 0.933843i \(0.616434\pi\)
\(90\) 6.50980 0.448460i 0.686194 0.0472718i
\(91\) −0.201286 + 1.39997i −0.0211005 + 0.146757i
\(92\) −2.06480 3.21289i −0.215270 0.334966i
\(93\) 0.503586 + 1.00934i 0.0522195 + 0.104663i
\(94\) 5.15297 17.5494i 0.531488 1.81008i
\(95\) 2.71111 + 1.74233i 0.278154 + 0.178759i
\(96\) 7.98697 + 11.5356i 0.815166 + 1.17735i
\(97\) 16.0174i 1.62632i −0.582041 0.813160i \(-0.697746\pi\)
0.582041 0.813160i \(-0.302254\pi\)
\(98\) 11.7122 + 7.52699i 1.18311 + 0.760341i
\(99\) −12.4805 12.5460i −1.25434 1.26092i
\(100\) 5.93513 + 6.84951i 0.593513 + 0.684951i
\(101\) 8.82615 + 10.1859i 0.878234 + 1.01354i 0.999781 + 0.0209507i \(0.00666929\pi\)
−0.121546 + 0.992586i \(0.538785\pi\)
\(102\) 0.828863 + 4.62876i 0.0820697 + 0.458315i
\(103\) −1.42993 0.918961i −0.140895 0.0905479i 0.468294 0.883573i \(-0.344869\pi\)
−0.609190 + 0.793025i \(0.708505\pi\)
\(104\) 1.71582i 0.168250i
\(105\) −0.819245 + 0.567224i −0.0799501 + 0.0553554i
\(106\) −0.782926 0.503156i −0.0760445 0.0488708i
\(107\) 1.69345 5.76736i 0.163712 0.557551i −0.836246 0.548355i \(-0.815254\pi\)
0.999958 0.00919665i \(-0.00292742\pi\)
\(108\) 1.24200 + 11.9955i 0.119512 + 1.15426i
\(109\) −1.53849 2.39394i −0.147361 0.229298i 0.759724 0.650246i \(-0.225334\pi\)
−0.907085 + 0.420947i \(0.861698\pi\)
\(110\) −1.82596 + 12.6998i −0.174098 + 1.21088i
\(111\) 9.03570 15.1835i 0.857631 1.44116i
\(112\) −1.62803 0.743495i −0.153834 0.0702537i
\(113\) 8.47293 + 2.48788i 0.797066 + 0.234040i 0.654813 0.755791i \(-0.272747\pi\)
0.142253 + 0.989830i \(0.454565\pi\)
\(114\) −5.67067 + 9.52896i −0.531107 + 0.892469i
\(115\) 1.30132 1.12760i 0.121349 0.105149i
\(116\) 8.19775 1.17866i 0.761142 0.109436i
\(117\) −3.71636 + 6.76384i −0.343578 + 0.625317i
\(118\) −1.30240 4.43557i −0.119896 0.408328i
\(119\) −0.470245 0.542692i −0.0431073 0.0497485i
\(120\) 0.885808 0.822554i 0.0808629 0.0750886i
\(121\) 20.0186 12.8652i 1.81988 1.16956i
\(122\) −8.62533 13.4213i −0.780901 1.21511i
\(123\) −4.82804 3.90112i −0.435330 0.351752i
\(124\) 1.37487 + 0.627880i 0.123467 + 0.0563853i
\(125\) −6.10206 + 7.04215i −0.545785 + 0.629869i
\(126\) −2.04746 2.75007i −0.182402 0.244996i
\(127\) −13.1828 + 15.2137i −1.16978 + 1.35000i −0.244992 + 0.969525i \(0.578785\pi\)
−0.924791 + 0.380476i \(0.875760\pi\)
\(128\) 5.05381 + 1.48393i 0.446698 + 0.131162i
\(129\) −8.86871 + 10.9760i −0.780847 + 0.966379i
\(130\) 5.53848 0.796314i 0.485757 0.0698413i
\(131\) 9.57685 4.37360i 0.836733 0.382123i 0.0494964 0.998774i \(-0.484238\pi\)
0.787237 + 0.616651i \(0.211511\pi\)
\(132\) −23.5733 2.56562i −2.05179 0.223308i
\(133\) 1.69331i 0.146828i
\(134\) 11.6260 12.4232i 1.00433 1.07320i
\(135\) −5.27350 + 1.32394i −0.453870 + 0.113946i
\(136\) 0.658358 + 0.570471i 0.0564537 + 0.0489174i
\(137\) −1.88398 4.12534i −0.160959 0.352452i 0.811919 0.583771i \(-0.198423\pi\)
−0.972878 + 0.231319i \(0.925696\pi\)
\(138\) 4.03149 + 4.34151i 0.343184 + 0.369574i
\(139\) 4.76426 + 16.2256i 0.404100 + 1.37624i 0.870720 + 0.491779i \(0.163653\pi\)
−0.466620 + 0.884458i \(0.654529\pi\)
\(140\) −0.376167 + 1.28111i −0.0317919 + 0.108273i
\(141\) −1.64896 + 15.1509i −0.138867 + 1.27594i
\(142\) 11.2591 17.5195i 0.944842 1.47020i
\(143\) −11.4684 9.93743i −0.959036 0.831010i
\(144\) −6.88744 6.92361i −0.573953 0.576967i
\(145\) 1.05200 + 3.58277i 0.0873635 + 0.297533i
\(146\) −3.61100 + 2.32065i −0.298849 + 0.192058i
\(147\) −10.7119 4.45346i −0.883504 0.367315i
\(148\) −3.36934 23.4343i −0.276958 1.92629i
\(149\) 7.18425 6.22519i 0.588557 0.509987i −0.308897 0.951095i \(-0.599960\pi\)
0.897454 + 0.441108i \(0.145414\pi\)
\(150\) −10.9359 8.83637i −0.892915 0.721487i
\(151\) −1.43278 + 9.96517i −0.116598 + 0.810954i 0.844660 + 0.535303i \(0.179803\pi\)
−0.961258 + 0.275651i \(0.911107\pi\)
\(152\) 0.292344 + 2.03330i 0.0237122 + 0.164922i
\(153\) −1.35967 3.67478i −0.109923 0.297089i
\(154\) 6.13227 2.80051i 0.494152 0.225672i
\(155\) −0.191986 + 0.653846i −0.0154207 + 0.0525181i
\(156\) 1.82278 + 10.1793i 0.145940 + 0.814994i
\(157\) −1.92943 4.22487i −0.153985 0.337181i 0.816880 0.576808i \(-0.195702\pi\)
−0.970865 + 0.239627i \(0.922975\pi\)
\(158\) −29.8738 4.29521i −2.37663 0.341708i
\(159\) 0.716058 + 0.297700i 0.0567871 + 0.0236091i
\(160\) −1.20631 + 8.39009i −0.0953675 + 0.663295i
\(161\) −0.868088 0.254894i −0.0684149 0.0200884i
\(162\) −5.17658 17.9776i −0.406711 1.41245i
\(163\) 12.6394 0.989994 0.494997 0.868895i \(-0.335169\pi\)
0.494997 + 0.868895i \(0.335169\pi\)
\(164\) −8.31729 −0.649472
\(165\) −0.367596 10.6846i −0.0286173 0.831796i
\(166\) −29.2913 13.3769i −2.27344 1.03825i
\(167\) −5.30659 + 4.59819i −0.410636 + 0.355818i −0.835549 0.549416i \(-0.814850\pi\)
0.424913 + 0.905234i \(0.360305\pi\)
\(168\) −0.615216 0.157883i −0.0474649 0.0121809i
\(169\) 2.65123 5.80539i 0.203941 0.446568i
\(170\) −1.53587 + 2.38986i −0.117796 + 0.183294i
\(171\) 3.25156 8.64855i 0.248653 0.661371i
\(172\) 18.9083i 1.44175i
\(173\) −13.1929 + 20.5286i −1.00304 + 1.56076i −0.187335 + 0.982296i \(0.559985\pi\)
−0.815706 + 0.578466i \(0.803651\pi\)
\(174\) −12.1958 + 4.04141i −0.924559 + 0.306379i
\(175\) 2.12516 + 0.305552i 0.160647 + 0.0230976i
\(176\) 16.1542 10.3817i 1.21767 0.782547i
\(177\) 1.71970 + 3.44678i 0.129260 + 0.259076i
\(178\) −2.23229 + 1.01945i −0.167317 + 0.0764112i
\(179\) 4.92852 10.7920i 0.368375 0.806628i −0.631146 0.775664i \(-0.717415\pi\)
0.999520 0.0309641i \(-0.00985774\pi\)
\(180\) −4.38131 + 5.82091i −0.326564 + 0.433865i
\(181\) 0.334972 + 0.733486i 0.0248982 + 0.0545196i 0.921673 0.387969i \(-0.126823\pi\)
−0.896774 + 0.442488i \(0.854096\pi\)
\(182\) −1.92530 2.22191i −0.142713 0.164699i
\(183\) 9.04574 + 9.74135i 0.668680 + 0.720101i
\(184\) 1.08639 + 0.156200i 0.0800900 + 0.0115152i
\(185\) 10.2418 3.00726i 0.752990 0.221098i
\(186\) −2.27112 0.582838i −0.166527 0.0427357i
\(187\) 7.62596 1.09645i 0.557665 0.0801802i
\(188\) 11.0406 + 17.1796i 0.805221 + 1.25295i
\(189\) 2.08324 + 1.95490i 0.151534 + 0.142198i
\(190\) −6.42759 + 1.88731i −0.466306 + 0.136920i
\(191\) 8.65233 18.9460i 0.626061 1.37088i −0.284967 0.958537i \(-0.591983\pi\)
0.911028 0.412345i \(-0.135290\pi\)
\(192\) −17.7836 1.93549i −1.28342 0.139682i
\(193\) 16.6073 + 10.6729i 1.19542 + 0.768250i 0.978158 0.207863i \(-0.0666508\pi\)
0.217263 + 0.976113i \(0.430287\pi\)
\(194\) 25.1626 + 21.8035i 1.80657 + 1.56540i
\(195\) −4.42573 + 1.46659i −0.316933 + 0.105025i
\(196\) −14.9149 + 4.37940i −1.06535 + 0.312814i
\(197\) −3.12662 21.7462i −0.222763 1.54935i −0.727519 0.686087i \(-0.759327\pi\)
0.504756 0.863262i \(-0.331582\pi\)
\(198\) 36.6982 2.52814i 2.60803 0.179667i
\(199\) 4.10348 4.73567i 0.290888 0.335703i −0.591430 0.806356i \(-0.701436\pi\)
0.882318 + 0.470654i \(0.155982\pi\)
\(200\) −2.60462 −0.184174
\(201\) −7.71104 + 11.8971i −0.543895 + 0.839154i
\(202\) −28.0161 −1.97121
\(203\) 1.28481 1.48276i 0.0901763 0.104069i
\(204\) −4.51181 2.68497i −0.315890 0.187986i
\(205\) −0.533668 3.71174i −0.0372730 0.259239i
\(206\) 3.39012 0.995430i 0.236201 0.0693549i
\(207\) −3.94429 2.96881i −0.274147 0.206346i
\(208\) −6.32891 5.48403i −0.438831 0.380249i
\(209\) 15.2836 + 9.82214i 1.05719 + 0.679412i
\(210\) 0.224106 2.05912i 0.0154648 0.142093i
\(211\) −5.04036 + 11.0369i −0.346993 + 0.759808i 0.653004 + 0.757354i \(0.273508\pi\)
−0.999997 + 0.00245387i \(0.999219\pi\)
\(212\) 0.997013 0.292749i 0.0684751 0.0201061i
\(213\) −6.66161 + 16.0232i −0.456446 + 1.09789i
\(214\) 6.75506 + 10.5111i 0.461766 + 0.718523i
\(215\) −8.43819 + 1.21323i −0.575480 + 0.0827415i
\(216\) −2.83904 1.98775i −0.193172 0.135249i
\(217\) 0.343550 0.100875i 0.0233217 0.00684787i
\(218\) 5.85503 + 0.841827i 0.396553 + 0.0570157i
\(219\) 2.62092 2.43376i 0.177105 0.164458i
\(220\) −9.38112 10.8264i −0.632475 0.729915i
\(221\) −1.39577 3.05630i −0.0938895 0.205589i
\(222\) 11.5529 + 34.8631i 0.775378 + 2.33986i
\(223\) −7.06897 + 15.4789i −0.473373 + 1.03654i 0.510859 + 0.859664i \(0.329327\pi\)
−0.984233 + 0.176879i \(0.943400\pi\)
\(224\) 4.05126 1.85015i 0.270686 0.123618i
\(225\) 10.2675 + 5.64144i 0.684501 + 0.376096i
\(226\) −15.4420 + 9.92399i −1.02719 + 0.660134i
\(227\) −22.7278 3.26776i −1.50850 0.216889i −0.662089 0.749425i \(-0.730330\pi\)
−0.846407 + 0.532536i \(0.821239\pi\)
\(228\) −3.89441 11.7522i −0.257914 0.778307i
\(229\) 5.60453 8.72083i 0.370358 0.576288i −0.605188 0.796082i \(-0.706902\pi\)
0.975546 + 0.219794i \(0.0705385\pi\)
\(230\) 3.57925i 0.236009i
\(231\) −4.61839 + 3.19765i −0.303868 + 0.210390i
\(232\) −1.28679 + 2.00229i −0.0844822 + 0.131457i
\(233\) −0.475061 + 1.04024i −0.0311223 + 0.0681483i −0.924555 0.381049i \(-0.875563\pi\)
0.893432 + 0.449198i \(0.148290\pi\)
\(234\) −5.56682 15.0454i −0.363915 0.983551i
\(235\) −6.95828 + 6.02938i −0.453908 + 0.393314i
\(236\) 4.69503 + 2.14415i 0.305621 + 0.139572i
\(237\) 25.1335 0.864696i 1.63259 0.0561680i
\(238\) 1.49266 0.0967548
\(239\) −13.1434 −0.850175 −0.425088 0.905152i \(-0.639757\pi\)
−0.425088 + 0.905152i \(0.639757\pi\)
\(240\) −0.202860 5.89637i −0.0130946 0.380609i
\(241\) −6.92579 2.03360i −0.446129 0.130995i 0.0509486 0.998701i \(-0.483776\pi\)
−0.497078 + 0.867706i \(0.665594\pi\)
\(242\) −7.03952 + 48.9610i −0.452518 + 3.14733i
\(243\) 6.88626 + 13.9850i 0.441754 + 0.897136i
\(244\) 17.6315 + 2.53502i 1.12874 + 0.162288i
\(245\) −2.91138 6.37503i −0.186001 0.407286i
\(246\) 12.7006 2.27427i 0.809760 0.145002i
\(247\) 2.23217 7.60208i 0.142030 0.483709i
\(248\) −0.395114 + 0.180443i −0.0250898 + 0.0114581i
\(249\) 25.9895 + 6.66967i 1.64702 + 0.422673i
\(250\) −2.75653 19.1721i −0.174338 1.21255i
\(251\) 3.11424 21.6600i 0.196569 1.36717i −0.617578 0.786510i \(-0.711886\pi\)
0.814147 0.580658i \(-0.197205\pi\)
\(252\) 3.81755 + 0.283086i 0.240483 + 0.0178328i
\(253\) 7.33604 6.35671i 0.461213 0.399643i
\(254\) −5.95517 41.4191i −0.373660 2.59886i
\(255\) 0.908723 2.18575i 0.0569064 0.136877i
\(256\) 8.16630 5.24816i 0.510394 0.328010i
\(257\) −3.15290 10.7378i −0.196673 0.669805i −0.997484 0.0708890i \(-0.977416\pi\)
0.800812 0.598916i \(-0.204402\pi\)
\(258\) −5.17028 28.8732i −0.321888 1.79757i
\(259\) −4.23864 3.67280i −0.263376 0.228217i
\(260\) −3.37760 + 5.25564i −0.209470 + 0.325941i
\(261\) 9.40943 5.10600i 0.582429 0.316053i
\(262\) −6.16566 + 20.9983i −0.380916 + 1.29728i
\(263\) −0.433706 1.47707i −0.0267435 0.0910798i 0.945040 0.326955i \(-0.106023\pi\)
−0.971783 + 0.235875i \(0.924204\pi\)
\(264\) 4.99363 4.63704i 0.307337 0.285390i
\(265\) 0.194617 + 0.426151i 0.0119552 + 0.0261782i
\(266\) 2.66011 + 2.30500i 0.163102 + 0.141328i
\(267\) 1.68120 1.16402i 0.102888 0.0712368i
\(268\) 1.98228 + 18.8934i 0.121087 + 1.15410i
\(269\) 27.4825i 1.67564i 0.545948 + 0.837819i \(0.316170\pi\)
−0.545948 + 0.837819i \(0.683830\pi\)
\(270\) 5.09864 10.0866i 0.310294 0.613852i
\(271\) 6.44698 2.94424i 0.391626 0.178850i −0.209863 0.977731i \(-0.567302\pi\)
0.601489 + 0.798881i \(0.294574\pi\)
\(272\) 4.20843 0.605081i 0.255174 0.0366884i
\(273\) 1.90547 + 1.53965i 0.115324 + 0.0931836i
\(274\) 9.04527 + 2.65593i 0.546445 + 0.160451i
\(275\) −15.0850 + 17.4090i −0.909661 + 1.04980i
\(276\) −6.61107 + 0.227449i −0.397940 + 0.0136908i
\(277\) −4.91266 + 5.66952i −0.295173 + 0.340648i −0.883893 0.467689i \(-0.845087\pi\)
0.588720 + 0.808337i \(0.299632\pi\)
\(278\) −31.9750 14.6025i −1.91773 0.875798i
\(279\) 1.94838 + 0.144480i 0.116647 + 0.00864981i
\(280\) −0.207451 0.322799i −0.0123975 0.0192910i
\(281\) 11.6245 7.47061i 0.693460 0.445660i −0.145855 0.989306i \(-0.546593\pi\)
0.839314 + 0.543647i \(0.182957\pi\)
\(282\) −21.5567 23.2144i −1.28368 1.38240i
\(283\) −12.5594 14.4944i −0.746581 0.861600i 0.247651 0.968849i \(-0.420341\pi\)
−0.994232 + 0.107249i \(0.965796\pi\)
\(284\) 6.55083 + 22.3101i 0.388720 + 1.32386i
\(285\) 4.99474 2.49201i 0.295863 0.147614i
\(286\) 31.2225 4.48912i 1.84622 0.265447i
\(287\) −1.48906 + 1.29028i −0.0878967 + 0.0761629i
\(288\) 24.2445 1.67020i 1.42862 0.0984177i
\(289\) −14.6746 4.30886i −0.863213 0.253462i
\(290\) −7.06038 3.22437i −0.414600 0.189341i
\(291\) −23.8408 14.1876i −1.39757 0.831692i
\(292\) 0.682050 4.74376i 0.0399139 0.277608i
\(293\) −13.0317 20.2778i −0.761323 1.18464i −0.978042 0.208407i \(-0.933172\pi\)
0.216719 0.976234i \(-0.430464\pi\)
\(294\) 21.5777 10.7657i 1.25843 0.627868i
\(295\) −0.655615 + 2.23282i −0.0381714 + 0.130000i
\(296\) 5.72379 + 3.67846i 0.332689 + 0.213806i
\(297\) −29.7287 + 7.46353i −1.72503 + 0.433078i
\(298\) 19.7601i 1.14467i
\(299\) −3.56126 2.28868i −0.205953 0.132358i
\(300\) 15.4521 2.76699i 0.892130 0.159752i
\(301\) 2.93330 + 3.38521i 0.169072 + 0.195120i
\(302\) −13.7045 15.8158i −0.788604 0.910097i
\(303\) 22.9789 4.11479i 1.32010 0.236389i
\(304\) 8.43432 + 5.42041i 0.483742 + 0.310882i
\(305\) 8.03102i 0.459855i
\(306\) 7.62375 + 2.86628i 0.435821 + 0.163854i
\(307\) −29.1182 18.7132i −1.66187 1.06802i −0.915359 0.402638i \(-0.868093\pi\)
−0.746507 0.665378i \(-0.768270\pi\)
\(308\) −2.12059 + 7.22208i −0.120832 + 0.411516i
\(309\) −2.63439 + 1.31437i −0.149865 + 0.0747720i
\(310\) −0.765822 1.19164i −0.0434958 0.0676807i
\(311\) −4.01291 + 27.9104i −0.227551 + 1.58265i 0.480824 + 0.876817i \(0.340338\pi\)
−0.708375 + 0.705836i \(0.750572\pi\)
\(312\) −2.55388 1.51981i −0.144585 0.0860423i
\(313\) 18.6325 + 8.50917i 1.05317 + 0.480967i 0.865314 0.501230i \(-0.167119\pi\)
0.187856 + 0.982197i \(0.439846\pi\)
\(314\) 9.26349 + 2.72001i 0.522769 + 0.153499i
\(315\) 0.118616 + 1.72181i 0.00668324 + 0.0970133i
\(316\) 25.4669 22.0672i 1.43263 1.24138i
\(317\) 8.07877 1.16155i 0.453749 0.0652392i 0.0883483 0.996090i \(-0.471841\pi\)
0.365400 + 0.930850i \(0.380932\pi\)
\(318\) −1.44240 + 0.719653i −0.0808857 + 0.0403562i
\(319\) 5.93049 + 20.1974i 0.332044 + 1.13084i
\(320\) −7.07708 8.16739i −0.395621 0.456571i
\(321\) −7.08431 7.62909i −0.395408 0.425814i
\(322\) 1.58210 1.01675i 0.0881670 0.0566615i
\(323\) 2.17476 + 3.38400i 0.121007 + 0.188291i
\(324\) 18.9545 + 8.77650i 1.05303 + 0.487583i
\(325\) 9.13810 + 4.17323i 0.506891 + 0.231489i
\(326\) −17.2053 + 19.8559i −0.952911 + 1.09972i
\(327\) −4.92596 + 0.169474i −0.272406 + 0.00937191i
\(328\) 1.56528 1.80643i 0.0864283 0.0997436i
\(329\) 4.64174 + 1.36294i 0.255907 + 0.0751411i
\(330\) 17.2854 + 13.9668i 0.951531 + 0.768849i
\(331\) −10.2591 + 1.47504i −0.563893 + 0.0810755i −0.418366 0.908279i \(-0.637397\pi\)
−0.145527 + 0.989354i \(0.546488\pi\)
\(332\) 32.7042 14.9355i 1.79487 0.819691i
\(333\) −14.5961 26.8980i −0.799863 1.47400i
\(334\) 14.5956i 0.798638i
\(335\) −8.30434 + 2.09690i −0.453714 + 0.114566i
\(336\) −2.54869 + 1.76464i −0.139042 + 0.0962692i
\(337\) 17.6356 + 15.2814i 0.960674 + 0.832429i 0.985914 0.167252i \(-0.0534894\pi\)
−0.0252397 + 0.999681i \(0.508035\pi\)
\(338\) 5.51103 + 12.0675i 0.299761 + 0.656384i
\(339\) 11.2080 10.4077i 0.608737 0.565268i
\(340\) −0.893611 3.04336i −0.0484629 0.165049i
\(341\) −1.08230 + 3.68597i −0.0586098 + 0.199607i
\(342\) 9.16031 + 16.8808i 0.495333 + 0.912809i
\(343\) −4.07156 + 6.33548i −0.219844 + 0.342084i
\(344\) −4.10671 3.55848i −0.221419 0.191860i
\(345\) −0.525694 2.93572i −0.0283024 0.158054i
\(346\) −14.2908 48.6699i −0.768276 2.61651i
\(347\) 23.6879 15.2233i 1.27163 0.817228i 0.281800 0.959473i \(-0.409069\pi\)
0.989831 + 0.142245i \(0.0454322\pi\)
\(348\) 5.50692 13.2458i 0.295202 0.710049i
\(349\) −1.49312 10.3849i −0.0799247 0.555889i −0.989959 0.141355i \(-0.954854\pi\)
0.910034 0.414533i \(-0.136055\pi\)
\(350\) −3.37286 + 2.92260i −0.180287 + 0.156220i
\(351\) 6.77569 + 11.5227i 0.361659 + 0.615036i
\(352\) −6.80044 + 47.2981i −0.362465 + 2.52100i
\(353\) 0.136930 + 0.952366i 0.00728802 + 0.0506893i 0.993141 0.116924i \(-0.0373032\pi\)
−0.985853 + 0.167613i \(0.946394\pi\)
\(354\) −7.75566 1.99033i −0.412209 0.105785i
\(355\) −9.53595 + 4.35492i −0.506116 + 0.231135i
\(356\) 0.771946 2.62901i 0.0409130 0.139337i
\(357\) −1.22429 + 0.219231i −0.0647961 + 0.0116029i
\(358\) 10.2448 + 22.4329i 0.541453 + 1.18562i
\(359\) −13.8336 1.98897i −0.730108 0.104974i −0.232771 0.972531i \(-0.574779\pi\)
−0.497336 + 0.867558i \(0.665688\pi\)
\(360\) −0.439698 2.04705i −0.0231741 0.107889i
\(361\) 1.35405 9.41759i 0.0712656 0.495663i
\(362\) −1.60825 0.472224i −0.0845277 0.0248196i
\(363\) −1.41717 41.1919i −0.0743823 2.16201i
\(364\) 3.28257 0.172053
\(365\) 2.16075 0.113099
\(366\) −27.6166 + 0.950128i −1.44354 + 0.0496640i
\(367\) 16.4627 + 7.51824i 0.859343 + 0.392449i 0.795821 0.605531i \(-0.207039\pi\)
0.0635220 + 0.997980i \(0.479767\pi\)
\(368\) 4.04844 3.50799i 0.211039 0.182867i
\(369\) −10.0830 + 3.73073i −0.524902 + 0.194214i
\(370\) −9.21725 + 20.1830i −0.479182 + 1.04926i
\(371\) 0.133083 0.207080i 0.00690930 0.0107511i
\(372\) 2.15236 1.49024i 0.111595 0.0772653i
\(373\) 33.0563i 1.71159i −0.517313 0.855796i \(-0.673068\pi\)
0.517313 0.855796i \(-0.326932\pi\)
\(374\) −8.65829 + 13.4726i −0.447709 + 0.696649i
\(375\) 5.07677 + 15.3202i 0.262163 + 0.791130i
\(376\) −5.80904 0.835213i −0.299578 0.0430728i
\(377\) 7.72278 4.96313i 0.397743 0.255614i
\(378\) −5.90685 + 0.611592i −0.303816 + 0.0314569i
\(379\) −21.7900 + 9.95118i −1.11928 + 0.511158i −0.887129 0.461522i \(-0.847304\pi\)
−0.232151 + 0.972680i \(0.574576\pi\)
\(380\) 3.10709 6.80357i 0.159390 0.349016i
\(381\) 10.9678 + 33.0974i 0.561896 + 1.69563i
\(382\) 17.9853 + 39.3824i 0.920210 + 2.01498i
\(383\) −0.491155 0.566823i −0.0250969 0.0289633i 0.743062 0.669222i \(-0.233373\pi\)
−0.768159 + 0.640259i \(0.778827\pi\)
\(384\) 6.68521 6.20783i 0.341153 0.316792i
\(385\) −3.35905 0.482958i −0.171193 0.0246138i
\(386\) −39.3731 + 11.5610i −2.00404 + 0.588439i
\(387\) 8.48136 + 22.9226i 0.431132 + 1.16522i
\(388\) −36.7959 + 5.29045i −1.86803 + 0.268582i
\(389\) 9.15615 + 14.2473i 0.464235 + 0.722364i 0.991891 0.127094i \(-0.0405650\pi\)
−0.527655 + 0.849459i \(0.676929\pi\)
\(390\) 3.72053 8.94899i 0.188396 0.453150i
\(391\) 2.06220 0.605517i 0.104290 0.0306223i
\(392\) 1.85576 4.06355i 0.0937300 0.205240i
\(393\) 1.97302 18.1284i 0.0995258 0.914459i
\(394\) 38.4183 + 24.6899i 1.93549 + 1.24386i
\(395\) 11.4819 + 9.94916i 0.577719 + 0.500597i
\(396\) −24.6991 + 32.8146i −1.24118 + 1.64900i
\(397\) −27.3866 + 8.04143i −1.37449 + 0.403588i −0.883849 0.467772i \(-0.845057\pi\)
−0.490644 + 0.871360i \(0.663239\pi\)
\(398\) 1.85370 + 12.8928i 0.0929175 + 0.646255i
\(399\) −2.52037 1.49987i −0.126176 0.0750873i
\(400\) −8.32476 + 9.60729i −0.416238 + 0.480364i
\(401\) −18.5463 −0.926157 −0.463078 0.886317i \(-0.653255\pi\)
−0.463078 + 0.886317i \(0.653255\pi\)
\(402\) −8.19316 28.3084i −0.408638 1.41190i
\(403\) 1.67534 0.0834547
\(404\) 20.4843 23.6402i 1.01913 1.17614i
\(405\) −2.70048 + 9.02193i −0.134188 + 0.448303i
\(406\) 0.580400 + 4.03677i 0.0288048 + 0.200342i
\(407\) 57.7367 16.9530i 2.86190 0.840330i
\(408\) 1.43225 0.474618i 0.0709072 0.0234971i
\(409\) −28.0859 24.3366i −1.38876 1.20337i −0.952875 0.303362i \(-0.901891\pi\)
−0.435883 0.900003i \(-0.643564\pi\)
\(410\) 6.55742 + 4.21420i 0.323848 + 0.208124i
\(411\) −7.80905 0.849903i −0.385192 0.0419226i
\(412\) −1.63878 + 3.58843i −0.0807370 + 0.176789i
\(413\) 1.17319 0.344480i 0.0577289 0.0169507i
\(414\) 10.0330 2.15504i 0.493094 0.105915i
\(415\) 8.76364 + 13.6365i 0.430190 + 0.669389i
\(416\) 20.6270 2.96572i 1.01132 0.145406i
\(417\) 28.3707 + 7.28076i 1.38932 + 0.356540i
\(418\) −36.2347 + 10.6395i −1.77230 + 0.520394i
\(419\) 18.5168 + 2.66231i 0.904604 + 0.130062i 0.578890 0.815406i \(-0.303486\pi\)
0.325714 + 0.945468i \(0.394395\pi\)
\(420\) 1.57364 + 1.69466i 0.0767860 + 0.0826908i
\(421\) −15.6684 18.0823i −0.763633 0.881279i 0.232182 0.972672i \(-0.425413\pi\)
−0.995815 + 0.0913931i \(0.970868\pi\)
\(422\) −10.4772 22.9420i −0.510024 1.11680i
\(423\) 21.0905 + 15.8745i 1.02545 + 0.771843i
\(424\) −0.124052 + 0.271636i −0.00602449 + 0.0131918i
\(425\) −4.63947 + 2.11878i −0.225047 + 0.102776i
\(426\) −16.1036 32.2765i −0.780224 1.56380i
\(427\) 3.54987 2.28136i 0.171790 0.110403i
\(428\) −13.8084 1.98534i −0.667453 0.0959652i
\(429\) −24.9495 + 8.26771i −1.20457 + 0.399169i
\(430\) 9.58047 14.9075i 0.462011 0.718903i
\(431\) 3.92364i 0.188995i −0.995525 0.0944976i \(-0.969876\pi\)
0.995525 0.0944976i \(-0.0301245\pi\)
\(432\) −16.4059 + 4.11880i −0.789331 + 0.198166i
\(433\) −2.96101 + 4.60743i −0.142297 + 0.221419i −0.905086 0.425229i \(-0.860193\pi\)
0.762788 + 0.646648i \(0.223830\pi\)
\(434\) −0.309183 + 0.677017i −0.0148413 + 0.0324978i
\(435\) 6.26452 + 1.60766i 0.300361 + 0.0770815i
\(436\) −4.99132 + 4.32500i −0.239041 + 0.207130i
\(437\) 4.61015 + 2.10538i 0.220533 + 0.100714i
\(438\) 0.255632 + 7.43027i 0.0122146 + 0.355032i
\(439\) −23.6608 −1.12927 −0.564635 0.825341i \(-0.690983\pi\)
−0.564635 + 0.825341i \(0.690983\pi\)
\(440\) 4.11688 0.196264
\(441\) −16.1169 + 11.9992i −0.767471 + 0.571392i
\(442\) 6.70129 + 1.96768i 0.318748 + 0.0935928i
\(443\) 2.50552 17.4263i 0.119041 0.827947i −0.839575 0.543244i \(-0.817196\pi\)
0.958616 0.284703i \(-0.0918951\pi\)
\(444\) −37.8647 15.7422i −1.79698 0.747091i
\(445\) 1.22277 + 0.175808i 0.0579649 + 0.00833410i
\(446\) −14.6941 32.1755i −0.695784 1.52355i
\(447\) −2.90221 16.2073i −0.137270 0.766579i
\(448\) −1.59977 + 5.44831i −0.0755820 + 0.257409i
\(449\) 0.264168 0.120642i 0.0124669 0.00569343i −0.409172 0.912457i \(-0.634182\pi\)
0.421639 + 0.906764i \(0.361455\pi\)
\(450\) −22.8390 + 8.45044i −1.07664 + 0.398357i
\(451\) −3.00848 20.9245i −0.141664 0.985294i
\(452\) 2.91670 20.2861i 0.137190 0.954179i
\(453\) 13.5634 + 10.9594i 0.637262 + 0.514916i
\(454\) 36.0715 31.2561i 1.69292 1.46692i
\(455\) 0.210622 + 1.46490i 0.00987409 + 0.0686758i
\(456\) 3.28537 + 1.36589i 0.153852 + 0.0639635i
\(457\) 1.45570 0.935521i 0.0680947 0.0437618i −0.506151 0.862445i \(-0.668932\pi\)
0.574245 + 0.818683i \(0.305296\pi\)
\(458\) 6.07090 + 20.6756i 0.283675 + 0.966107i
\(459\) −6.67400 1.23121i −0.311516 0.0574680i
\(460\) −3.02020 2.61702i −0.140817 0.122019i
\(461\) 5.95132 9.26044i 0.277181 0.431302i −0.674553 0.738226i \(-0.735664\pi\)
0.951734 + 0.306925i \(0.0993000\pi\)
\(462\) 1.26337 11.6080i 0.0587773 0.540055i
\(463\) 7.10718 24.2048i 0.330299 1.12489i −0.612205 0.790699i \(-0.709717\pi\)
0.942504 0.334195i \(-0.108464\pi\)
\(464\) 3.27278 + 11.1461i 0.151935 + 0.517443i
\(465\) 0.803149 + 0.864911i 0.0372451 + 0.0401093i
\(466\) −0.987496 2.16231i −0.0457449 0.100167i
\(467\) −8.21822 7.12113i −0.380294 0.329527i 0.443648 0.896201i \(-0.353684\pi\)
−0.823942 + 0.566675i \(0.808230\pi\)
\(468\) 16.7657 + 6.30334i 0.774994 + 0.291372i
\(469\) 3.28587 + 3.07502i 0.151728 + 0.141991i
\(470\) 19.1386i 0.882796i
\(471\) −7.99744 0.870407i −0.368502 0.0401062i
\(472\) −1.34928 + 0.616194i −0.0621055 + 0.0283626i
\(473\) −47.5692 + 6.83942i −2.18723 + 0.314477i
\(474\) −32.8542 + 40.6606i −1.50905 + 1.86760i
\(475\) −11.5400 3.38844i −0.529490 0.155472i
\(476\) −1.09138 + 1.25952i −0.0500232 + 0.0577299i
\(477\) 1.07736 0.802111i 0.0493291 0.0367261i
\(478\) 17.8913 20.6477i 0.818329 0.944402i
\(479\) 21.9268 + 10.0136i 1.00186 + 0.457534i 0.847680 0.530508i \(-0.177999\pi\)
0.154181 + 0.988043i \(0.450726\pi\)
\(480\) 11.4196 + 9.22715i 0.521229 + 0.421160i
\(481\) −14.1877 22.0765i −0.646904 1.00660i
\(482\) 12.6223 8.11189i 0.574932 0.369486i
\(483\) −1.14831 + 1.06631i −0.0522500 + 0.0485189i
\(484\) −36.1666 41.7384i −1.64393 1.89720i
\(485\) −4.72191 16.0814i −0.214411 0.730217i
\(486\) −31.3436 8.21890i −1.42177 0.372817i
\(487\) 24.1354 3.47014i 1.09368 0.157247i 0.428214 0.903677i \(-0.359143\pi\)
0.665464 + 0.746430i \(0.268234\pi\)
\(488\) −3.86876 + 3.35230i −0.175131 + 0.151752i
\(489\) 11.1955 18.8129i 0.506279 0.850747i
\(490\) 13.9780 + 4.10430i 0.631460 + 0.185413i
\(491\) −1.21242 0.553695i −0.0547159 0.0249879i 0.387869 0.921714i \(-0.373211\pi\)
−0.442585 + 0.896727i \(0.645939\pi\)
\(492\) −7.36715 + 12.3797i −0.332137 + 0.558120i
\(493\) −0.663299 + 4.61335i −0.0298735 + 0.207775i
\(494\) 8.90400 + 13.8549i 0.400610 + 0.623361i
\(495\) −16.2289 8.91690i −0.729435 0.400785i
\(496\) −0.597273 + 2.03413i −0.0268184 + 0.0913350i
\(497\) 4.63383 + 2.97798i 0.207856 + 0.133581i
\(498\) −45.8556 + 31.7492i −2.05484 + 1.42272i
\(499\) 17.5683i 0.786465i −0.919439 0.393233i \(-0.871357\pi\)
0.919439 0.393233i \(-0.128643\pi\)
\(500\) 18.1930 + 11.6919i 0.813617 + 0.522880i
\(501\) 2.14370 + 11.9714i 0.0957733 + 0.534843i
\(502\) 29.7877 + 34.3768i 1.32949 + 1.53431i
\(503\) 6.29117 + 7.26039i 0.280509 + 0.323725i 0.878467 0.477803i \(-0.158567\pi\)
−0.597958 + 0.801527i \(0.704021\pi\)
\(504\) −0.779933 + 0.775859i −0.0347410 + 0.0345595i
\(505\) 11.8642 + 7.62466i 0.527950 + 0.339293i
\(506\) 20.1776i 0.897003i
\(507\) −6.29255 9.08837i −0.279462 0.403629i
\(508\) 39.3039 + 25.2591i 1.74383 + 1.12069i
\(509\) −4.64782 + 15.8290i −0.206011 + 0.701609i 0.790058 + 0.613032i \(0.210050\pi\)
−0.996069 + 0.0885771i \(0.971768\pi\)
\(510\) 2.19673 + 4.40289i 0.0972727 + 0.194963i
\(511\) −0.613802 0.955094i −0.0271530 0.0422509i
\(512\) −4.37086 + 30.4000i −0.193166 + 1.34350i
\(513\) −9.99264 12.5003i −0.441186 0.551901i
\(514\) 21.1604 + 9.66365i 0.933347 + 0.426245i
\(515\) −1.70655 0.501089i −0.0751996 0.0220806i
\(516\) 28.1438 + 16.7483i 1.23896 + 0.737304i
\(517\) −39.2264 + 33.9899i −1.72518 + 1.49487i
\(518\) 11.5396 1.65914i 0.507021 0.0728986i
\(519\) 18.8696 + 37.8203i 0.828283 + 1.66013i
\(520\) −0.505823 1.72267i −0.0221818 0.0755442i
\(521\) −19.2229 22.1844i −0.842172 0.971918i 0.157707 0.987486i \(-0.449590\pi\)
−0.999879 + 0.0155679i \(0.995044\pi\)
\(522\) −4.78720 + 21.7323i −0.209530 + 0.951196i
\(523\) 15.0577 9.67701i 0.658428 0.423146i −0.168309 0.985734i \(-0.553831\pi\)
0.826737 + 0.562588i \(0.190194\pi\)
\(524\) −13.2104 20.5558i −0.577099 0.897984i
\(525\) 2.33718 2.89251i 0.102003 0.126239i
\(526\) 2.91078 + 1.32931i 0.126916 + 0.0579606i
\(527\) −0.557012 + 0.642826i −0.0242638 + 0.0280020i
\(528\) −1.14360 33.2400i −0.0497687 1.44659i
\(529\) −13.2885 + 15.3357i −0.577760 + 0.666771i
\(530\) −0.934383 0.274360i −0.0405870 0.0119174i
\(531\) 6.65354 + 0.493386i 0.288739 + 0.0214111i
\(532\) −3.88994 + 0.559289i −0.168650 + 0.0242483i
\(533\) −8.38603 + 3.82977i −0.363239 + 0.165886i
\(534\) −0.459896 + 4.22560i −0.0199017 + 0.182860i
\(535\) 6.28962i 0.271924i
\(536\) −4.47652 3.12514i −0.193356 0.134986i
\(537\) −11.6976 16.8949i −0.504787 0.729067i
\(538\) −43.1738 37.4103i −1.86135 1.61287i
\(539\) −16.4125 35.9384i −0.706937 1.54798i
\(540\) 4.78322 + 11.6772i 0.205837 + 0.502508i
\(541\) −5.19976 17.7088i −0.223555 0.761359i −0.992522 0.122070i \(-0.961047\pi\)
0.768966 0.639289i \(-0.220771\pi\)
\(542\) −4.15062 + 14.1357i −0.178284 + 0.607181i
\(543\) 1.38845 + 0.151113i 0.0595840 + 0.00648487i
\(544\) −5.72007 + 8.90060i −0.245246 + 0.381610i
\(545\) −2.25037 1.94996i −0.0963953 0.0835270i
\(546\) −5.01252 + 0.897583i −0.214516 + 0.0384130i
\(547\) 4.50789 + 15.3525i 0.192744 + 0.656424i 0.997983 + 0.0634751i \(0.0202183\pi\)
−0.805240 + 0.592949i \(0.797963\pi\)
\(548\) −8.85466 + 5.69054i −0.378252 + 0.243088i
\(549\) 22.5117 4.83542i 0.960776 0.206371i
\(550\) −6.81448 47.3957i −0.290570 2.02096i
\(551\) −8.30610 + 7.19727i −0.353852 + 0.306614i
\(552\) 1.19478 1.47866i 0.0508532 0.0629362i
\(553\) 1.13606 7.90149i 0.0483103 0.336006i
\(554\) −2.21924 15.4351i −0.0942864 0.655776i
\(555\) 4.59570 17.9079i 0.195076 0.760147i
\(556\) 35.7006 16.3039i 1.51404 0.691439i
\(557\) −7.29149 + 24.8325i −0.308950 + 1.05219i 0.647929 + 0.761701i \(0.275636\pi\)
−0.956879 + 0.290487i \(0.906183\pi\)
\(558\) −2.87919 + 2.86415i −0.121886 + 0.121249i
\(559\) 8.70652 + 19.0646i 0.368246 + 0.806347i
\(560\) −1.85371 0.266523i −0.0783336 0.0112627i
\(561\) 5.12281 12.3219i 0.216285 0.520231i
\(562\) −4.08774 + 28.4309i −0.172431 + 1.19928i
\(563\) 30.7110 + 9.01758i 1.29432 + 0.380046i 0.855159 0.518365i \(-0.173459\pi\)
0.439157 + 0.898410i \(0.355277\pi\)
\(564\) 35.3500 1.21619i 1.48850 0.0512107i
\(565\) 9.24019 0.388738
\(566\) 39.8664 1.67571
\(567\) 4.75499 1.36918i 0.199691 0.0575003i
\(568\) −6.07837 2.77590i −0.255043 0.116474i
\(569\) −2.47095 + 2.14109i −0.103588 + 0.0897594i −0.705115 0.709093i \(-0.749105\pi\)
0.601527 + 0.798852i \(0.294559\pi\)
\(570\) −2.88419 + 11.2387i −0.120806 + 0.470738i
\(571\) 2.11869 4.63929i 0.0886645 0.194148i −0.860105 0.510117i \(-0.829602\pi\)
0.948770 + 0.315969i \(0.102329\pi\)
\(572\) −19.0408 + 29.6280i −0.796135 + 1.23881i
\(573\) −20.5358 29.6600i −0.857897 1.23907i
\(574\) 4.09563i 0.170948i
\(575\) −3.47422 + 5.40600i −0.144885 + 0.225446i
\(576\) −18.6329 + 24.7553i −0.776371 + 1.03147i
\(577\) 39.2069 + 5.63710i 1.63221 + 0.234676i 0.896634 0.442772i \(-0.146005\pi\)
0.735571 + 0.677448i \(0.236914\pi\)
\(578\) 26.7447 17.1878i 1.11243 0.714917i
\(579\) 30.5960 15.2652i 1.27153 0.634399i
\(580\) 7.88303 3.60006i 0.327325 0.149484i
\(581\) 3.53812 7.74741i 0.146786 0.321417i
\(582\) 54.7411 18.1400i 2.26909 0.751927i
\(583\) 1.09713 + 2.40237i 0.0454383 + 0.0994960i
\(584\) 0.901938 + 1.04089i 0.0373225 + 0.0430724i
\(585\) −1.73723 + 7.88643i −0.0718256 + 0.326064i
\(586\) 49.5948 + 7.13066i 2.04874 + 0.294565i
\(587\) −27.8288 + 8.17128i −1.14862 + 0.337265i −0.800000 0.600000i \(-0.795167\pi\)
−0.348619 + 0.937265i \(0.613349\pi\)
\(588\) −6.69261 + 26.0788i −0.275999 + 1.07547i
\(589\) −1.98533 + 0.285447i −0.0818041 + 0.0117617i
\(590\) −2.61521 4.06934i −0.107666 0.167532i
\(591\) −35.1371 14.6082i −1.44535 0.600900i
\(592\) 31.8624 9.35563i 1.30953 0.384514i
\(593\) −3.03813 + 6.65258i −0.124761 + 0.273189i −0.961698 0.274110i \(-0.911617\pi\)
0.836937 + 0.547299i \(0.184344\pi\)
\(594\) 28.7429 56.8620i 1.17934 2.33308i
\(595\) −0.632109 0.406232i −0.0259139 0.0166539i
\(596\) −16.6737 14.4478i −0.682981 0.591807i
\(597\) −3.41400 10.3024i −0.139726 0.421650i
\(598\) 8.44315 2.47913i 0.345266 0.101379i
\(599\) 5.35418 + 37.2391i 0.218766 + 1.52155i 0.742604 + 0.669731i \(0.233591\pi\)
−0.523838 + 0.851818i \(0.675500\pi\)
\(600\) −2.30707 + 3.87679i −0.0941858 + 0.158269i
\(601\) −6.55169 + 7.56106i −0.267249 + 0.308422i −0.873473 0.486872i \(-0.838138\pi\)
0.606224 + 0.795294i \(0.292683\pi\)
\(602\) −9.31092 −0.379485
\(603\) 10.8778 + 22.0153i 0.442977 + 0.896533i
\(604\) 23.3657 0.950736
\(605\) 16.3059 18.8181i 0.662931 0.765063i
\(606\) −24.8156 + 41.7000i −1.00807 + 1.69395i
\(607\) 1.20997 + 8.41551i 0.0491110 + 0.341575i 0.999531 + 0.0306070i \(0.00974404\pi\)
−0.950420 + 0.310968i \(0.899347\pi\)
\(608\) −23.9383 + 7.02893i −0.970828 + 0.285061i
\(609\) −1.06894 3.22573i −0.0433155 0.130713i
\(610\) −12.6164 10.9321i −0.510821 0.442629i
\(611\) 19.0424 + 12.2378i 0.770371 + 0.495088i
\(612\) −7.99279 + 4.33726i −0.323089 + 0.175323i
\(613\) 10.0145 21.9287i 0.404482 0.885692i −0.592314 0.805707i \(-0.701786\pi\)
0.996796 0.0799849i \(-0.0254872\pi\)
\(614\) 69.0344 20.2703i 2.78600 0.818044i
\(615\) −5.99737 2.49340i −0.241837 0.100543i
\(616\) −1.16948 1.81974i −0.0471195 0.0733194i
\(617\) 28.7209 4.12944i 1.15626 0.166245i 0.462613 0.886560i \(-0.346912\pi\)
0.693647 + 0.720316i \(0.256003\pi\)
\(618\) 1.52122 5.92768i 0.0611924 0.238446i
\(619\) −14.4116 + 4.23164i −0.579252 + 0.170084i −0.558217 0.829695i \(-0.688514\pi\)
−0.0210352 + 0.999779i \(0.506696\pi\)
\(620\) 1.56546 + 0.225079i 0.0628702 + 0.00903937i
\(621\) −7.91257 + 3.24114i −0.317521 + 0.130063i
\(622\) −38.3834 44.2968i −1.53903 1.77614i
\(623\) −0.269641 0.590431i −0.0108029 0.0236551i
\(624\) −13.7685 + 4.56259i −0.551182 + 0.182650i
\(625\) 4.06075 8.89181i 0.162430 0.355673i
\(626\) −38.7308 + 17.6878i −1.54799 + 0.706945i
\(627\) 28.1572 14.0484i 1.12449 0.561039i
\(628\) −9.06828 + 5.82783i −0.361864 + 0.232556i
\(629\) 13.1878 + 1.89612i 0.525832 + 0.0756033i
\(630\) −2.86636 2.15746i −0.114198 0.0859553i
\(631\) 9.24257 14.3817i 0.367941 0.572527i −0.607080 0.794641i \(-0.707659\pi\)
0.975021 + 0.222114i \(0.0712956\pi\)
\(632\) 9.68414i 0.385214i
\(633\) 11.9630 + 17.2783i 0.475487 + 0.686749i
\(634\) −9.17239 + 14.2725i −0.364282 + 0.566834i
\(635\) −8.75043 + 19.1608i −0.347250 + 0.760372i
\(636\) 0.447380 1.74329i 0.0177398 0.0691259i
\(637\) −13.0216 + 11.2833i −0.515934 + 0.447060i
\(638\) −39.8020 18.1770i −1.57578 0.719633i
\(639\) 17.9488 + 24.1081i 0.710043 + 0.953701i
\(640\) 5.51146 0.217859
\(641\) −15.6745 −0.619106 −0.309553 0.950882i \(-0.600179\pi\)
−0.309553 + 0.950882i \(0.600179\pi\)
\(642\) 21.6284 0.744107i 0.853605 0.0293676i
\(643\) 47.9283 + 14.0730i 1.89011 + 0.554986i 0.993746 + 0.111666i \(0.0356186\pi\)
0.896363 + 0.443320i \(0.146200\pi\)
\(644\) −0.298829 + 2.07840i −0.0117755 + 0.0819004i
\(645\) −5.66843 + 13.6343i −0.223194 + 0.536849i
\(646\) −8.27648 1.18998i −0.325634 0.0468191i
\(647\) 2.76943 + 6.06421i 0.108878 + 0.238409i 0.956226 0.292628i \(-0.0945299\pi\)
−0.847349 + 0.531037i \(0.821803\pi\)
\(648\) −5.47334 + 2.46503i −0.215013 + 0.0968355i
\(649\) −3.69594 + 12.5872i −0.145078 + 0.494092i
\(650\) −18.9951 + 8.67477i −0.745049 + 0.340252i
\(651\) 0.154158 0.600702i 0.00604193 0.0235434i
\(652\) −4.17472 29.0358i −0.163495 1.13713i
\(653\) −0.0890346 + 0.619249i −0.00348419 + 0.0242331i −0.991489 0.130188i \(-0.958442\pi\)
0.988005 + 0.154421i \(0.0493511\pi\)
\(654\) 6.43917 7.96915i 0.251792 0.311618i
\(655\) 8.32576 7.21431i 0.325314 0.281887i
\(656\) −1.66025 11.5473i −0.0648219 0.450846i
\(657\) −1.30097 6.05679i −0.0507557 0.236298i
\(658\) −8.45962 + 5.43667i −0.329791 + 0.211943i
\(659\) −5.10569 17.3884i −0.198889 0.677355i −0.997178 0.0750793i \(-0.976079\pi\)
0.798288 0.602276i \(-0.205739\pi\)
\(660\) −24.4238 + 4.37352i −0.950694 + 0.170239i
\(661\) 13.6140 + 11.7966i 0.529524 + 0.458836i 0.878122 0.478437i \(-0.158797\pi\)
−0.348597 + 0.937273i \(0.613342\pi\)
\(662\) 11.6479 18.1245i 0.452709 0.704429i
\(663\) −5.78541 0.629660i −0.224687 0.0244540i
\(664\) −2.91096 + 9.91382i −0.112967 + 0.384731i
\(665\) −0.499185 1.70007i −0.0193576 0.0659259i
\(666\) 62.1244 + 13.6848i 2.40727 + 0.530275i
\(667\) 2.43943 + 5.34160i 0.0944549 + 0.206827i
\(668\) 12.3159 + 10.6718i 0.476517 + 0.412904i
\(669\) 16.7778 + 24.2323i 0.648668 + 0.936875i
\(670\) 8.01006 15.9001i 0.309456 0.614275i
\(671\) 45.2738i 1.74778i
\(672\) 0.834641 7.66882i 0.0321970 0.295831i
\(673\) −11.0032 + 5.02499i −0.424142 + 0.193699i −0.616039 0.787716i \(-0.711263\pi\)
0.191897 + 0.981415i \(0.438536\pi\)
\(674\) −48.0126 + 6.90318i −1.84938 + 0.265900i
\(675\) 17.4915 10.2855i 0.673247 0.395889i
\(676\) −14.2121 4.17304i −0.546619 0.160502i
\(677\) 14.0900 16.2608i 0.541524 0.624952i −0.417363 0.908740i \(-0.637046\pi\)
0.958887 + 0.283788i \(0.0915912\pi\)
\(678\) 1.09318 + 31.7747i 0.0419834 + 1.22030i
\(679\) −5.76693 + 6.65539i −0.221314 + 0.255410i
\(680\) 0.829162 + 0.378666i 0.0317969 + 0.0145212i
\(681\) −24.9953 + 30.9343i −0.957821 + 1.18540i
\(682\) −4.31722 6.71773i −0.165315 0.257235i
\(683\) 14.0666 9.04007i 0.538245 0.345909i −0.243107 0.969999i \(-0.578167\pi\)
0.781352 + 0.624091i \(0.214530\pi\)
\(684\) −20.9418 4.61308i −0.800730 0.176385i
\(685\) −3.10765 3.58642i −0.118737 0.137030i
\(686\) −4.41037 15.0203i −0.168389 0.573479i
\(687\) −8.01605 16.0665i −0.305831 0.612977i
\(688\) −26.2514 + 3.77438i −1.00082 + 0.143897i
\(689\) 0.870453 0.754252i 0.0331616 0.0287347i
\(690\) 5.32747 + 3.17037i 0.202813 + 0.120694i
\(691\) −7.45562 2.18917i −0.283625 0.0832799i 0.136826 0.990595i \(-0.456310\pi\)
−0.420451 + 0.907315i \(0.638128\pi\)
\(692\) 51.5168 + 23.5270i 1.95838 + 0.894360i
\(693\) 0.668681 + 9.70651i 0.0254011 + 0.368720i
\(694\) −8.32980 + 57.9351i −0.316195 + 2.19918i
\(695\) 9.56658 + 14.8859i 0.362881 + 0.564654i
\(696\) 1.84047 + 3.68886i 0.0697630 + 0.139826i
\(697\) 1.31868 4.49102i 0.0499487 0.170110i
\(698\) 18.3466 + 11.7907i 0.694430 + 0.446283i
\(699\) 1.12753 + 1.62850i 0.0426472 + 0.0615956i
\(700\) 4.98294i 0.188337i
\(701\) −12.0302 7.73133i −0.454374 0.292008i 0.293366 0.956000i \(-0.405225\pi\)
−0.747740 + 0.663992i \(0.768861\pi\)
\(702\) −27.3250 5.04087i −1.03131 0.190255i
\(703\) 20.5743 + 23.7440i 0.775974 + 0.895521i
\(704\) −39.8962 46.0426i −1.50364 1.73530i
\(705\) 2.81093 + 15.6975i 0.105866 + 0.591203i
\(706\) −1.68252 1.08129i −0.0633223 0.0406948i
\(707\) 7.41014i 0.278687i
\(708\) 7.35010 5.08902i 0.276234 0.191257i
\(709\) −11.0260 7.08596i −0.414089 0.266119i 0.316967 0.948437i \(-0.397336\pi\)
−0.731056 + 0.682318i \(0.760972\pi\)
\(710\) 6.13933 20.9086i 0.230405 0.784687i
\(711\) 20.9752 38.1753i 0.786633 1.43169i
\(712\) 0.425717 + 0.662428i 0.0159544 + 0.0248255i
\(713\) −0.152515 + 1.06076i −0.00571173 + 0.0397259i
\(714\) 1.32214 2.22172i 0.0494800 0.0831458i
\(715\) −14.4438 6.59624i −0.540166 0.246685i
\(716\) −26.4196 7.75750i −0.987348 0.289911i
\(717\) −11.6419 + 19.5630i −0.434776 + 0.730594i
\(718\) 21.9554 19.0244i 0.819367 0.709986i
\(719\) −38.1780 + 5.48917i −1.42380 + 0.204711i −0.810777 0.585354i \(-0.800955\pi\)
−0.613022 + 0.790066i \(0.710046\pi\)
\(720\) −8.95602 4.92085i −0.333771 0.183389i
\(721\) 0.263287 + 0.896673i 0.00980532 + 0.0333939i
\(722\) 12.9514 + 14.9467i 0.482002 + 0.556260i
\(723\) −9.16147 + 8.50727i −0.340719 + 0.316389i
\(724\) 1.57436 1.01178i 0.0585105 0.0376024i
\(725\) −7.53403 11.7232i −0.279807 0.435388i
\(726\) 66.6396 + 53.8457i 2.47323 + 1.99840i
\(727\) 6.50543 + 2.97093i 0.241273 + 0.110186i 0.532382 0.846504i \(-0.321297\pi\)
−0.291109 + 0.956690i \(0.594024\pi\)
\(728\) −0.617767 + 0.712941i −0.0228960 + 0.0264234i
\(729\) 26.9152 + 2.13766i 0.996861 + 0.0791726i
\(730\) −2.94130 + 3.39444i −0.108862 + 0.125634i
\(731\) −10.2098 2.99786i −0.377622 0.110880i
\(732\) 19.3905 23.9978i 0.716694 0.886984i
\(733\) 2.84978 0.409736i 0.105259 0.0151339i −0.0894841 0.995988i \(-0.528522\pi\)
0.194743 + 0.980854i \(0.437613\pi\)
\(734\) −34.2204 + 15.6279i −1.26310 + 0.576838i
\(735\) −12.0676 1.31338i −0.445119 0.0484449i
\(736\) 13.3303i 0.491360i
\(737\) −46.8146 + 11.8210i −1.72444 + 0.435432i
\(738\) 7.86462 20.9184i 0.289501 0.770017i
\(739\) −12.1579 10.5349i −0.447235 0.387531i 0.401921 0.915675i \(-0.368343\pi\)
−0.849155 + 0.528144i \(0.822888\pi\)
\(740\) −10.2912 22.5346i −0.378312 0.828388i
\(741\) −9.33799 10.0561i −0.343040 0.369419i
\(742\) 0.144157 + 0.490953i 0.00529216 + 0.0180234i
\(743\) −3.47814 + 11.8455i −0.127601 + 0.434568i −0.998367 0.0571294i \(-0.981805\pi\)
0.870766 + 0.491698i \(0.163623\pi\)
\(744\) −0.0814014 + 0.747929i −0.00298432 + 0.0274204i
\(745\) 5.37776 8.36796i 0.197026 0.306578i
\(746\) 51.9300 + 44.9976i 1.90129 + 1.64748i
\(747\) 32.9479 32.7758i 1.20550 1.19920i
\(748\) −5.03762 17.1565i −0.184194 0.627306i
\(749\) −2.78013 + 1.78668i −0.101584 + 0.0652840i
\(750\) −30.9780 12.8790i −1.13116 0.470276i
\(751\) −4.25968 29.6267i −0.155438 1.08109i −0.906908 0.421328i \(-0.861564\pi\)
0.751470 0.659767i \(-0.229345\pi\)
\(752\) −21.6473 + 18.7575i −0.789397 + 0.684016i
\(753\) −29.4809 23.8210i −1.07434 0.868084i
\(754\) −2.71570 + 18.8881i −0.0989001 + 0.687865i
\(755\) 1.49923 + 10.4274i 0.0545624 + 0.379490i
\(756\) 3.80280 5.43141i 0.138307 0.197539i
\(757\) 7.06311 3.22562i 0.256713 0.117237i −0.282902 0.959149i \(-0.591297\pi\)
0.539615 + 0.841912i \(0.318570\pi\)
\(758\) 14.0286 47.7771i 0.509543 1.73534i
\(759\) −2.96353 16.5497i −0.107569 0.600717i
\(760\) 0.892926 + 1.95524i 0.0323898 + 0.0709239i
\(761\) −5.27604 0.758581i −0.191256 0.0274985i 0.0460209 0.998940i \(-0.485346\pi\)
−0.237277 + 0.971442i \(0.576255\pi\)
\(762\) −66.9243 27.8237i −2.42441 1.00794i
\(763\) −0.222659 + 1.54863i −0.00806081 + 0.0560642i
\(764\) −46.3814 13.6188i −1.67802 0.492711i
\(765\) −2.44843 3.28863i −0.0885230 0.118901i
\(766\) 1.55903 0.0563301
\(767\) 5.72113 0.206578
\(768\) −0.578114 16.8036i −0.0208609 0.606347i
\(769\) −2.24138 1.02360i −0.0808261 0.0369120i 0.374592 0.927190i \(-0.377783\pi\)
−0.455418 + 0.890278i \(0.650510\pi\)
\(770\) 5.33117 4.61949i 0.192122 0.166475i
\(771\) −18.7752 4.81827i −0.676172 0.173526i
\(772\) 19.0329 41.6763i 0.685009 1.49996i
\(773\) 0.598580 0.931409i 0.0215294 0.0335005i −0.830322 0.557284i \(-0.811844\pi\)
0.851851 + 0.523783i \(0.175480\pi\)
\(774\) −47.5554 17.8793i −1.70935 0.642657i
\(775\) 2.54317i 0.0913533i
\(776\) 5.77581 8.98734i 0.207340 0.322627i
\(777\) −9.22113 + 3.05568i −0.330806 + 0.109622i
\(778\) −34.8455 5.01003i −1.24927 0.179618i
\(779\) 9.28517 5.96722i 0.332676 0.213798i
\(780\) 4.83091 + 9.68257i 0.172974 + 0.346692i
\(781\) −53.7577 + 24.5503i −1.92360 + 0.878479i
\(782\) −1.85591 + 4.06388i −0.0663672 + 0.145324i
\(783\) 0.734608 18.5280i 0.0262527 0.662136i
\(784\) −9.05735 19.8328i −0.323477 0.708315i
\(785\) −3.18263 3.67295i −0.113593 0.131093i
\(786\) 25.7932 + 27.7767i 0.920012 + 0.990761i
\(787\) −3.40848 0.490066i −0.121499 0.0174690i 0.0812969 0.996690i \(-0.474094\pi\)
−0.202796 + 0.979221i \(0.565003\pi\)
\(788\) −48.9235 + 14.3652i −1.74283 + 0.511741i
\(789\) −2.58267 0.662790i −0.0919455 0.0235960i
\(790\) −31.2594 + 4.49442i −1.11216 + 0.159904i
\(791\) −2.62485 4.08435i −0.0933289 0.145223i
\(792\) −2.47874 11.5400i −0.0880782 0.410056i
\(793\) 18.9445 5.56260i 0.672738 0.197534i
\(794\) 24.6470 53.9694i 0.874689 1.91530i
\(795\) 0.806680 + 0.0877956i 0.0286100 + 0.00311379i
\(796\) −12.2343 7.86254i −0.433635 0.278680i
\(797\) −20.0052 17.3346i −0.708619 0.614022i 0.224125 0.974560i \(-0.428047\pi\)
−0.932744 + 0.360539i \(0.882593\pi\)
\(798\) 5.78705 1.91770i 0.204859 0.0678859i
\(799\) −11.0268 + 3.23775i −0.390099 + 0.114543i
\(800\) −4.50196 31.3118i −0.159168 1.10704i
\(801\) −0.243415 3.53340i −0.00860066 0.124846i
\(802\) 25.2459 29.1353i 0.891464 1.02880i
\(803\) 12.1810 0.429856
\(804\) 29.8774 + 13.7846i 1.05369 + 0.486146i
\(805\) −0.946697 −0.0333667
\(806\) −2.28054 + 2.63188i −0.0803286 + 0.0927042i
\(807\) 40.9058 + 24.3430i 1.43995 + 0.856914i
\(808\) 1.27934 + 8.89798i 0.0450069 + 0.313030i
\(809\) 12.5164 3.67514i 0.440053 0.129211i −0.0541986 0.998530i \(-0.517260\pi\)
0.494251 + 0.869319i \(0.335442\pi\)
\(810\) −10.4970 16.5233i −0.368828 0.580571i
\(811\) −17.5600 15.2159i −0.616616 0.534301i 0.289583 0.957153i \(-0.406483\pi\)
−0.906199 + 0.422852i \(0.861029\pi\)
\(812\) −3.83062 2.46179i −0.134428 0.0863919i
\(813\) 1.32821 12.2038i 0.0465822 0.428005i
\(814\) −51.9610 + 113.779i −1.82123 + 3.98794i
\(815\) 12.6899 3.72609i 0.444507 0.130519i
\(816\) 2.82705 6.79992i 0.0989667 0.238045i
\(817\) −13.5657 21.1087i −0.474605 0.738500i
\(818\) 76.4632 10.9938i 2.67347 0.384388i
\(819\) 3.97945 1.47240i 0.139053 0.0514498i
\(820\) −8.35051 + 2.45193i −0.291613 + 0.0856252i
\(821\) 42.0678 + 6.04844i 1.46818 + 0.211092i 0.829553 0.558428i \(-0.188595\pi\)
0.638623 + 0.769519i \(0.279504\pi\)
\(822\) 11.9651 11.1107i 0.417332 0.387531i
\(823\) 28.8076 + 33.2457i 1.00417 + 1.15887i 0.987276 + 0.159017i \(0.0508324\pi\)
0.0168941 + 0.999857i \(0.494622\pi\)
\(824\) −0.470959 1.03126i −0.0164066 0.0359255i
\(825\) 12.5504 + 37.8733i 0.436948 + 1.31858i
\(826\) −1.05583 + 2.31195i −0.0367370 + 0.0804429i
\(827\) −22.1844 + 10.1313i −0.771427 + 0.352299i −0.761933 0.647656i \(-0.775749\pi\)
−0.00949397 + 0.999955i \(0.503022\pi\)
\(828\) −5.51731 + 10.0416i −0.191740 + 0.348969i
\(829\) −11.4999 + 7.39055i −0.399409 + 0.256684i −0.724891 0.688864i \(-0.758110\pi\)
0.325482 + 0.945548i \(0.394473\pi\)
\(830\) −33.3517 4.79525i −1.15766 0.166446i
\(831\) 4.08722 + 12.3340i 0.141784 + 0.427862i
\(832\) −14.3643 + 22.3513i −0.497992 + 0.774891i
\(833\) 8.74780i 0.303093i
\(834\) −50.0570 + 34.6582i −1.73333 + 1.20011i
\(835\) −3.97224 + 6.18093i −0.137465 + 0.213900i
\(836\) 17.5158 38.3543i 0.605797 1.32651i
\(837\) 1.94086 2.77206i 0.0670858 0.0958164i
\(838\) −29.3881 + 25.4650i −1.01520 + 0.879673i
\(839\) 28.7424 + 13.1262i 0.992297 + 0.453167i 0.844329 0.535825i \(-0.179999\pi\)
0.147968 + 0.988992i \(0.452727\pi\)
\(840\) −0.664217 + 0.0228518i −0.0229176 + 0.000788463i
\(841\) 16.2657 0.560886
\(842\) 49.7350 1.71398
\(843\) −0.822929 23.9195i −0.0283432 0.823830i
\(844\) 27.0192 + 7.93354i 0.930038 + 0.273084i
\(845\) 0.950396 6.61015i 0.0326946 0.227396i
\(846\) −53.6472 + 11.5232i −1.84443 + 0.396175i
\(847\) −12.9500 1.86192i −0.444966 0.0639764i
\(848\) 0.605456 + 1.32576i 0.0207914 + 0.0455269i
\(849\) −32.6985 + 5.85527i −1.12221 + 0.200952i
\(850\) 2.98693 10.1726i 0.102451 0.348916i
\(851\) 15.2696 6.97339i 0.523435 0.239045i
\(852\) 39.0095 + 10.0110i 1.33644 + 0.342971i
\(853\) −2.37531 16.5206i −0.0813290 0.565656i −0.989219 0.146446i \(-0.953216\pi\)
0.907890 0.419209i \(-0.137693\pi\)
\(854\) −1.24831 + 8.68216i −0.0427162 + 0.297097i
\(855\) 0.714966 9.64165i 0.0244513 0.329737i
\(856\) 3.02988 2.62541i 0.103559 0.0897345i
\(857\) 3.26120 + 22.6821i 0.111400 + 0.774806i 0.966560 + 0.256441i \(0.0825501\pi\)
−0.855159 + 0.518365i \(0.826541\pi\)
\(858\) 20.9740 50.4488i 0.716040 1.72229i
\(859\) −32.9529 + 21.1775i −1.12434 + 0.722568i −0.964371 0.264554i \(-0.914775\pi\)
−0.159967 + 0.987122i \(0.551139\pi\)
\(860\) 5.57417 + 18.9839i 0.190077 + 0.647344i
\(861\) 0.601535 + 3.35925i 0.0205003 + 0.114483i
\(862\) 6.16386 + 5.34101i 0.209942 + 0.181916i
\(863\) −30.5895 + 47.5981i −1.04128 + 1.62026i −0.293930 + 0.955827i \(0.594963\pi\)
−0.747348 + 0.664433i \(0.768673\pi\)
\(864\) 18.9889 37.5657i 0.646017 1.27801i
\(865\) −7.19381 + 24.4999i −0.244597 + 0.833021i
\(866\) −3.20741 10.9234i −0.108992 0.371193i
\(867\) −19.4117 + 18.0255i −0.659255 + 0.612179i
\(868\) −0.345208 0.755900i −0.0117171 0.0256569i
\(869\) 64.7280 + 56.0871i 2.19575 + 1.90263i
\(870\) −11.0531 + 7.65285i −0.374734 + 0.259456i
\(871\) 10.6983 + 18.1368i 0.362498 + 0.614542i
\(872\) 1.89801i 0.0642749i
\(873\) −42.2345 + 22.9184i −1.42942 + 0.775671i
\(874\) −9.58298 + 4.37640i −0.324149 + 0.148034i
\(875\) 5.07094 0.729091i 0.171429 0.0246478i
\(876\) −6.45662 5.21703i −0.218149 0.176267i
\(877\) 2.81852 + 0.827592i 0.0951746 + 0.0279458i 0.328973 0.944339i \(-0.393297\pi\)
−0.233799 + 0.972285i \(0.575116\pi\)
\(878\) 32.2080 37.1701i 1.08697 1.25443i
\(879\) −41.7251 + 1.43552i −1.40735 + 0.0484189i
\(880\) 13.1582 15.1854i 0.443562 0.511898i
\(881\) −22.6076 10.3246i −0.761670 0.347843i −0.00358056 0.999994i \(-0.501140\pi\)
−0.758089 + 0.652151i \(0.773867\pi\)
\(882\) 3.08871 41.6527i 0.104002 1.40252i
\(883\) 12.4493 + 19.3715i 0.418952 + 0.651902i 0.985017 0.172459i \(-0.0551712\pi\)
−0.566065 + 0.824361i \(0.691535\pi\)
\(884\) −6.56007 + 4.21590i −0.220639 + 0.141796i
\(885\) 2.74267 + 2.95358i 0.0921940 + 0.0992837i
\(886\) 23.9653 + 27.6574i 0.805129 + 0.929168i
\(887\) −7.68241 26.1639i −0.257950 0.878497i −0.982021 0.188772i \(-0.939549\pi\)
0.724071 0.689726i \(-0.242269\pi\)
\(888\) 10.5450 5.26122i 0.353869 0.176555i
\(889\) 10.9552 1.57512i 0.367424 0.0528277i
\(890\) −1.94067 + 1.68160i −0.0650514 + 0.0563674i
\(891\) −15.2236 + 50.8599i −0.510010 + 1.70387i
\(892\) 37.8937 + 11.1266i 1.26877 + 0.372545i
\(893\) −24.6509 11.2577i −0.824909 0.376723i
\(894\) 29.4115 + 17.5028i 0.983668 + 0.585380i
\(895\) 1.76674 12.2880i 0.0590558 0.410742i
\(896\) −1.56563 2.43617i −0.0523041 0.0813868i
\(897\) −6.56098 + 3.27346i −0.219065 + 0.109298i
\(898\) −0.170074 + 0.579218i −0.00567544 + 0.0193288i
\(899\) −1.95505 1.25644i −0.0652047 0.0419045i
\(900\) 9.56847 25.4503i 0.318949 0.848344i
\(901\) 0.584763i 0.0194813i
\(902\) 36.9666 + 23.7570i 1.23085 + 0.791022i
\(903\) 7.63685 1.36752i 0.254138 0.0455081i
\(904\) 3.85703 + 4.45125i 0.128283 + 0.148046i
\(905\) 0.552540 + 0.637666i 0.0183671 + 0.0211967i
\(906\) −35.6796 + 6.38909i −1.18538 + 0.212263i
\(907\) 5.10884 + 3.28325i 0.169636 + 0.109019i 0.622704 0.782457i \(-0.286034\pi\)
−0.453068 + 0.891476i \(0.649670\pi\)
\(908\) 53.2906i 1.76851i
\(909\) 14.2293 37.8472i 0.471955 1.25531i
\(910\) −2.58800 1.66321i −0.0857915 0.0551348i
\(911\) 6.39633 21.7839i 0.211920 0.721733i −0.783086 0.621914i \(-0.786355\pi\)
0.995006 0.0998190i \(-0.0318264\pi\)
\(912\) 15.5387 7.75270i 0.514538 0.256718i
\(913\) 49.4039 + 76.8740i 1.63503 + 2.54416i
\(914\) −0.511894 + 3.56030i −0.0169320 + 0.117764i
\(915\) 11.9536 + 7.11358i 0.395174 + 0.235168i
\(916\) −21.8850 9.99456i −0.723102 0.330229i
\(917\) −5.55396 1.63079i −0.183408 0.0538534i
\(918\) 11.0191 8.80858i 0.363684 0.290727i
\(919\) 20.5746 17.8280i 0.678694 0.588091i −0.245785 0.969324i \(-0.579046\pi\)
0.924479 + 0.381233i \(0.124500\pi\)
\(920\) 1.13678 0.163444i 0.0374785 0.00538860i
\(921\) −53.6451 + 26.7650i −1.76767 + 0.881938i
\(922\) 6.44655 + 21.9549i 0.212306 + 0.723047i
\(923\) 16.8778 + 19.4781i 0.555541 + 0.641129i
\(924\) 8.87122 + 9.55341i 0.291842 + 0.314284i
\(925\) −33.5121 + 21.5369i −1.10187 + 0.708130i
\(926\) 28.3501 + 44.1136i 0.931642 + 1.44966i
\(927\) −0.377097 + 5.08533i −0.0123855 + 0.167024i
\(928\) −26.2951 12.0085i −0.863177 0.394200i
\(929\) −9.72756 + 11.2262i −0.319151 + 0.368320i −0.892544 0.450961i \(-0.851081\pi\)
0.573393 + 0.819281i \(0.305627\pi\)
\(930\) −2.45201 + 0.0843595i −0.0804047 + 0.00276626i
\(931\) 13.5085 15.5897i 0.442724 0.510930i
\(932\) 2.54660 + 0.747748i 0.0834165 + 0.0244933i
\(933\) 37.9882 + 30.6949i 1.24368 + 1.00491i
\(934\) 22.3739 3.21689i 0.732097 0.105260i
\(935\) 7.33318 3.34895i 0.239821 0.109522i
\(936\) −4.52426 + 2.45508i −0.147880 + 0.0802467i
\(937\) 20.2174i 0.660474i −0.943898 0.330237i \(-0.892871\pi\)
0.943898 0.330237i \(-0.107129\pi\)
\(938\) −9.30357 + 0.976121i −0.303772 + 0.0318715i
\(939\) 29.1693 20.1960i 0.951903 0.659073i
\(940\) 16.1492 + 13.9934i 0.526730 + 0.456415i
\(941\) −19.5633 42.8377i −0.637747 1.39647i −0.901881 0.431985i \(-0.857813\pi\)
0.264134 0.964486i \(-0.414914\pi\)
\(942\) 12.2538 11.3788i 0.399250 0.370740i
\(943\) −1.66145 5.65837i −0.0541041 0.184262i
\(944\) −2.03963 + 6.94634i −0.0663843 + 0.226084i
\(945\) 2.66787 + 1.34857i 0.0867857 + 0.0438690i
\(946\) 54.0087 84.0391i 1.75597 2.73235i
\(947\) −4.13409 3.58221i −0.134340 0.116406i 0.585099 0.810962i \(-0.301056\pi\)
−0.719439 + 0.694556i \(0.755601\pi\)
\(948\) −10.2878 57.4521i −0.334134 1.86596i
\(949\) −1.49662 5.09702i −0.0485823 0.165456i
\(950\) 21.0317 13.5163i 0.682359 0.438526i
\(951\) 5.42699 13.0535i 0.175982 0.423290i
\(952\) −0.0681614 0.474073i −0.00220912 0.0153648i
\(953\) 43.2380 37.4659i 1.40062 1.21364i 0.454113 0.890944i \(-0.349956\pi\)
0.946503 0.322696i \(-0.104589\pi\)
\(954\) −0.206471 + 2.78435i −0.00668473 + 0.0901468i
\(955\) 3.10163 21.5723i 0.100367 0.698064i
\(956\) 4.34118 + 30.1936i 0.140404 + 0.976530i
\(957\) 35.3154 + 9.06299i 1.14159 + 0.292965i
\(958\) −45.5785 + 20.8150i −1.47258 + 0.672503i
\(959\) −0.702482 + 2.39244i −0.0226843 + 0.0772558i
\(960\) −18.4252 + 3.29937i −0.594671 + 0.106487i
\(961\) 12.7017 + 27.8128i 0.409732 + 0.897187i
\(962\) 53.9940 + 7.76317i 1.74084 + 0.250295i
\(963\) −17.6304 + 3.78693i −0.568131 + 0.122032i
\(964\) −2.38412 + 16.5819i −0.0767874 + 0.534068i
\(965\) 19.8200 + 5.81968i 0.638028 + 0.187342i
\(966\) −0.112001 3.25545i −0.00360358 0.104742i
\(967\) −6.54750 −0.210553 −0.105277 0.994443i \(-0.533573\pi\)
−0.105277 + 0.994443i \(0.533573\pi\)
\(968\) 15.8716 0.510132
\(969\) 6.96317 0.239562i 0.223689 0.00769585i
\(970\) 31.6907 + 14.4727i 1.01753 + 0.464689i
\(971\) −31.7314 + 27.4954i −1.01831 + 0.882369i −0.993095 0.117313i \(-0.962572\pi\)
−0.0252128 + 0.999682i \(0.508026\pi\)
\(972\) 29.8524 20.4386i 0.957517 0.655568i
\(973\) 3.86229 8.45724i 0.123819 0.271127i
\(974\) −27.4026 + 42.6392i −0.878035 + 1.36625i
\(975\) 14.3058 9.90493i 0.458151 0.317212i
\(976\) 24.9846i 0.799739i
\(977\) 5.82929 9.07055i 0.186495 0.290193i −0.735398 0.677635i \(-0.763005\pi\)
0.921894 + 0.387442i \(0.126641\pi\)
\(978\) 14.3144 + 43.1964i 0.457723 + 1.38127i
\(979\) 6.89322 + 0.991095i 0.220308 + 0.0316755i
\(980\) −13.6834 + 8.79378i −0.437100 + 0.280907i
\(981\) −4.11098 + 7.48206i −0.131254 + 0.238884i
\(982\) 2.52023 1.15095i 0.0804237 0.0367283i
\(983\) 3.20616 7.02052i 0.102261 0.223920i −0.851585 0.524216i \(-0.824358\pi\)
0.953846 + 0.300296i \(0.0970856\pi\)
\(984\) −1.30228 3.92989i −0.0415152 0.125280i
\(985\) −9.54986 20.9113i −0.304284 0.666289i
\(986\) −6.34445 7.32188i −0.202048 0.233176i
\(987\) 6.14011 5.70166i 0.195442 0.181486i
\(988\) −18.2011 2.61693i −0.579055 0.0832555i
\(989\) −12.8636 + 3.77709i −0.409039 + 0.120105i
\(990\) 36.0995 13.3568i 1.14732 0.424508i
\(991\) −24.5893 + 3.53540i −0.781104 + 0.112306i −0.521320 0.853361i \(-0.674560\pi\)
−0.259784 + 0.965667i \(0.583651\pi\)
\(992\) −2.85216 4.43805i −0.0905562 0.140908i
\(993\) −6.89166 + 16.5765i −0.218700 + 0.526040i
\(994\) −10.9860 + 3.22579i −0.348455 + 0.102316i
\(995\) 2.72380 5.96428i 0.0863502 0.189081i
\(996\) 6.73771 61.9071i 0.213493 1.96160i
\(997\) −31.2555 20.0867i −0.989872 0.636152i −0.0577630 0.998330i \(-0.518397\pi\)
−0.932109 + 0.362178i \(0.882033\pi\)
\(998\) 27.5990 + 23.9147i 0.873631 + 0.757005i
\(999\) −52.9645 2.09997i −1.67572 0.0664400i
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 201.2.j.a.5.4 200
3.2 odd 2 inner 201.2.j.a.5.17 yes 200
67.27 odd 22 inner 201.2.j.a.161.17 yes 200
201.161 even 22 inner 201.2.j.a.161.4 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.j.a.5.4 200 1.1 even 1 trivial
201.2.j.a.5.17 yes 200 3.2 odd 2 inner
201.2.j.a.161.4 yes 200 201.161 even 22 inner
201.2.j.a.161.17 yes 200 67.27 odd 22 inner