Properties

Label 483.2.y.b.121.2
Level $483$
Weight $2$
Character 483.121
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
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] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 121.2
Character \(\chi\) \(=\) 483.121
Dual form 483.2.y.b.4.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.37000 - 1.92390i) q^{2} +(0.235759 + 0.971812i) q^{3} +(-1.17034 + 3.38148i) q^{4} +(0.00886507 + 0.186101i) q^{5} +(1.54668 - 1.78496i) q^{6} +(0.229059 - 2.63582i) q^{7} +(3.57665 - 1.05020i) q^{8} +(-0.888835 + 0.458227i) q^{9} +O(q^{10})\) \(q+(-1.37000 - 1.92390i) q^{2} +(0.235759 + 0.971812i) q^{3} +(-1.17034 + 3.38148i) q^{4} +(0.00886507 + 0.186101i) q^{5} +(1.54668 - 1.78496i) q^{6} +(0.229059 - 2.63582i) q^{7} +(3.57665 - 1.05020i) q^{8} +(-0.888835 + 0.458227i) q^{9} +(0.345893 - 0.272014i) q^{10} +(1.99704 - 2.80445i) q^{11} +(-3.56208 - 0.340137i) q^{12} +(1.00107 + 6.96260i) q^{13} +(-5.38485 + 3.17038i) q^{14} +(-0.178765 + 0.0524901i) q^{15} +(-1.29505 - 1.01844i) q^{16} +(0.821886 + 0.158406i) q^{17} +(2.09929 + 1.08226i) q^{18} +(1.86797 - 0.360021i) q^{19} +(-0.639671 - 0.187824i) q^{20} +(2.61552 - 0.398815i) q^{21} -8.13143 q^{22} +(-0.101065 - 4.79477i) q^{23} +(1.86382 + 3.22824i) q^{24} +(4.94280 - 0.471981i) q^{25} +(12.0239 - 11.4647i) q^{26} +(-0.654861 - 0.755750i) q^{27} +(8.64488 + 3.85936i) q^{28} +(4.93730 - 5.69795i) q^{29} +(0.345893 + 0.272014i) q^{30} +(-7.25015 - 6.91300i) q^{31} +(0.169586 - 3.56004i) q^{32} +(3.19622 + 1.27957i) q^{33} +(-0.821229 - 1.79824i) q^{34} +(0.492558 + 0.0192614i) q^{35} +(-0.509243 - 3.54186i) q^{36} +(1.27855 - 0.659140i) q^{37} +(-3.25176 - 3.10055i) q^{38} +(-6.53032 + 2.61435i) q^{39} +(0.227150 + 0.656307i) q^{40} +(1.71177 - 1.10009i) q^{41} +(-4.35054 - 4.48561i) q^{42} +(10.1515 + 2.98076i) q^{43} +(7.14598 + 10.0351i) q^{44} +(-0.0931559 - 0.161351i) q^{45} +(-9.08618 + 6.76327i) q^{46} +(0.421245 - 0.729618i) q^{47} +(0.684410 - 1.49865i) q^{48} +(-6.89506 - 1.20752i) q^{49} +(-7.67969 - 8.86283i) q^{50} +(0.0398266 + 0.836064i) q^{51} +(-24.7155 - 4.76352i) q^{52} +(11.5508 - 4.62424i) q^{53} +(-0.556825 + 2.29526i) q^{54} +(0.539615 + 0.346789i) q^{55} +(-1.94887 - 9.66795i) q^{56} +(0.790263 + 1.73043i) q^{57} +(-17.7264 - 1.69266i) q^{58} +(-4.03353 + 3.17201i) q^{59} +(0.0317217 - 0.665921i) q^{60} +(-1.98647 + 8.18834i) q^{61} +(-3.36720 + 23.4194i) q^{62} +(1.00421 + 2.44777i) q^{63} +(-9.85348 + 6.33245i) q^{64} +(-1.28687 + 0.248024i) q^{65} +(-1.91706 - 7.90222i) q^{66} +(10.0116 - 0.955989i) q^{67} +(-1.49753 + 2.59380i) q^{68} +(4.63578 - 1.22862i) q^{69} +(-0.637748 - 0.974019i) q^{70} +(-1.02983 + 2.25502i) q^{71} +(-2.69782 + 2.57237i) q^{72} +(2.49609 - 7.21198i) q^{73} +(-3.01974 - 1.55678i) q^{74} +(1.62399 + 4.69220i) q^{75} +(-0.968755 + 6.73784i) q^{76} +(-6.93459 - 5.90623i) q^{77} +(13.9763 + 8.98201i) q^{78} +(-6.19175 - 2.47880i) q^{79} +(0.178051 - 0.250038i) q^{80} +(0.580057 - 0.814576i) q^{81} +(-4.46158 - 1.78615i) q^{82} +(-8.77676 - 5.64048i) q^{83} +(-1.71247 + 9.31108i) q^{84} +(-0.0221933 + 0.154358i) q^{85} +(-8.17293 - 23.6141i) q^{86} +(6.70135 + 3.45478i) q^{87} +(4.19749 - 12.1278i) q^{88} +(-7.80637 + 7.44336i) q^{89} +(-0.182799 + 0.400273i) q^{90} +(18.5814 - 1.04379i) q^{91} +(16.3317 + 5.26977i) q^{92} +(5.00885 - 8.67558i) q^{93} +(-1.98082 + 0.189145i) q^{94} +(0.0835599 + 0.344439i) q^{95} +(3.49967 - 0.674507i) q^{96} +(4.61424 - 2.96539i) q^{97} +(7.12310 + 14.9197i) q^{98} +(-0.489967 + 3.40780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37000 1.92390i −0.968737 1.36040i −0.932544 0.361056i \(-0.882416\pi\)
−0.0361926 0.999345i \(-0.511523\pi\)
\(3\) 0.235759 + 0.971812i 0.136115 + 0.561076i
\(4\) −1.17034 + 3.38148i −0.585171 + 1.69074i
\(5\) 0.00886507 + 0.186101i 0.00396458 + 0.0832268i 0.999982 0.00592722i \(-0.00188670\pi\)
−0.996018 + 0.0891540i \(0.971584\pi\)
\(6\) 1.54668 1.78496i 0.631428 0.728706i
\(7\) 0.229059 2.63582i 0.0865763 0.996245i
\(8\) 3.57665 1.05020i 1.26454 0.371301i
\(9\) −0.888835 + 0.458227i −0.296278 + 0.152742i
\(10\) 0.345893 0.272014i 0.109381 0.0860183i
\(11\) 1.99704 2.80445i 0.602131 0.845575i −0.395199 0.918595i \(-0.629324\pi\)
0.997330 + 0.0730206i \(0.0232639\pi\)
\(12\) −3.56208 0.340137i −1.02828 0.0981892i
\(13\) 1.00107 + 6.96260i 0.277647 + 1.93108i 0.356725 + 0.934210i \(0.383893\pi\)
−0.0790776 + 0.996868i \(0.525197\pi\)
\(14\) −5.38485 + 3.17038i −1.43916 + 0.847321i
\(15\) −0.178765 + 0.0524901i −0.0461569 + 0.0135529i
\(16\) −1.29505 1.01844i −0.323762 0.254610i
\(17\) 0.821886 + 0.158406i 0.199337 + 0.0384190i 0.287942 0.957648i \(-0.407029\pi\)
−0.0886055 + 0.996067i \(0.528241\pi\)
\(18\) 2.09929 + 1.08226i 0.494806 + 0.255090i
\(19\) 1.86797 0.360021i 0.428541 0.0825945i 0.0295801 0.999562i \(-0.490583\pi\)
0.398961 + 0.916968i \(0.369371\pi\)
\(20\) −0.639671 0.187824i −0.143035 0.0419988i
\(21\) 2.61552 0.398815i 0.570753 0.0870285i
\(22\) −8.13143 −1.73363
\(23\) −0.101065 4.79477i −0.0210734 0.999778i
\(24\) 1.86382 + 3.22824i 0.380451 + 0.658961i
\(25\) 4.94280 0.471981i 0.988561 0.0943961i
\(26\) 12.0239 11.4647i 2.35807 2.24842i
\(27\) −0.654861 0.755750i −0.126028 0.145444i
\(28\) 8.64488 + 3.85936i 1.63373 + 0.729351i
\(29\) 4.93730 5.69795i 0.916834 1.05808i −0.0812797 0.996691i \(-0.525901\pi\)
0.998114 0.0613915i \(-0.0195538\pi\)
\(30\) 0.345893 + 0.272014i 0.0631512 + 0.0496627i
\(31\) −7.25015 6.91300i −1.30217 1.24161i −0.952428 0.304765i \(-0.901422\pi\)
−0.349738 0.936848i \(-0.613729\pi\)
\(32\) 0.169586 3.56004i 0.0299788 0.629333i
\(33\) 3.19622 + 1.27957i 0.556391 + 0.222745i
\(34\) −0.821229 1.79824i −0.140840 0.308396i
\(35\) 0.492558 + 0.0192614i 0.0832575 + 0.00325578i
\(36\) −0.509243 3.54186i −0.0848738 0.590310i
\(37\) 1.27855 0.659140i 0.210193 0.108362i −0.349916 0.936781i \(-0.613790\pi\)
0.560108 + 0.828419i \(0.310759\pi\)
\(38\) −3.25176 3.10055i −0.527505 0.502975i
\(39\) −6.53032 + 2.61435i −1.04569 + 0.418631i
\(40\) 0.227150 + 0.656307i 0.0359156 + 0.103771i
\(41\) 1.71177 1.10009i 0.267333 0.171805i −0.400106 0.916469i \(-0.631027\pi\)
0.667439 + 0.744664i \(0.267390\pi\)
\(42\) −4.35054 4.48561i −0.671303 0.692145i
\(43\) 10.1515 + 2.98076i 1.54809 + 0.454561i 0.940530 0.339710i \(-0.110329\pi\)
0.607563 + 0.794271i \(0.292147\pi\)
\(44\) 7.14598 + 10.0351i 1.07730 + 1.51285i
\(45\) −0.0931559 0.161351i −0.0138869 0.0240527i
\(46\) −9.08618 + 6.76327i −1.33968 + 0.997190i
\(47\) 0.421245 0.729618i 0.0614449 0.106426i −0.833667 0.552268i \(-0.813762\pi\)
0.895111 + 0.445842i \(0.147096\pi\)
\(48\) 0.684410 1.49865i 0.0987861 0.216311i
\(49\) −6.89506 1.20752i −0.985009 0.172503i
\(50\) −7.67969 8.86283i −1.08607 1.25339i
\(51\) 0.0398266 + 0.836064i 0.00557684 + 0.117072i
\(52\) −24.7155 4.76352i −3.42742 0.660581i
\(53\) 11.5508 4.62424i 1.58662 0.635188i 0.600266 0.799801i \(-0.295062\pi\)
0.986358 + 0.164612i \(0.0526373\pi\)
\(54\) −0.556825 + 2.29526i −0.0757742 + 0.312346i
\(55\) 0.539615 + 0.346789i 0.0727617 + 0.0467611i
\(56\) −1.94887 9.66795i −0.260428 1.29193i
\(57\) 0.790263 + 1.73043i 0.104673 + 0.229202i
\(58\) −17.7264 1.69266i −2.32759 0.222258i
\(59\) −4.03353 + 3.17201i −0.525121 + 0.412960i −0.845215 0.534426i \(-0.820528\pi\)
0.320094 + 0.947386i \(0.396285\pi\)
\(60\) 0.0317217 0.665921i 0.00409526 0.0859700i
\(61\) −1.98647 + 8.18834i −0.254341 + 1.04841i 0.691137 + 0.722724i \(0.257110\pi\)
−0.945478 + 0.325686i \(0.894405\pi\)
\(62\) −3.36720 + 23.4194i −0.427634 + 2.97426i
\(63\) 1.00421 + 2.44777i 0.126518 + 0.308390i
\(64\) −9.85348 + 6.33245i −1.23168 + 0.791556i
\(65\) −1.28687 + 0.248024i −0.159617 + 0.0307636i
\(66\) −1.91706 7.90222i −0.235973 0.972696i
\(67\) 10.0116 0.955989i 1.22311 0.116793i 0.536551 0.843868i \(-0.319727\pi\)
0.686558 + 0.727075i \(0.259121\pi\)
\(68\) −1.49753 + 2.59380i −0.181602 + 0.314545i
\(69\) 4.63578 1.22862i 0.558083 0.147909i
\(70\) −0.637748 0.974019i −0.0762255 0.116418i
\(71\) −1.02983 + 2.25502i −0.122219 + 0.267622i −0.960846 0.277085i \(-0.910632\pi\)
0.838627 + 0.544707i \(0.183359\pi\)
\(72\) −2.69782 + 2.57237i −0.317942 + 0.303157i
\(73\) 2.49609 7.21198i 0.292145 0.844098i −0.699446 0.714686i \(-0.746570\pi\)
0.991591 0.129412i \(-0.0413091\pi\)
\(74\) −3.01974 1.55678i −0.351037 0.180972i
\(75\) 1.62399 + 4.69220i 0.187522 + 0.541809i
\(76\) −0.968755 + 6.73784i −0.111124 + 0.772883i
\(77\) −6.93459 5.90623i −0.790270 0.673077i
\(78\) 13.9763 + 8.98201i 1.58250 + 1.01701i
\(79\) −6.19175 2.47880i −0.696626 0.278887i −0.00380099 0.999993i \(-0.501210\pi\)
−0.692825 + 0.721106i \(0.743634\pi\)
\(80\) 0.178051 0.250038i 0.0199067 0.0279551i
\(81\) 0.580057 0.814576i 0.0644508 0.0905084i
\(82\) −4.46158 1.78615i −0.492699 0.197247i
\(83\) −8.77676 5.64048i −0.963375 0.619123i −0.0384448 0.999261i \(-0.512240\pi\)
−0.924930 + 0.380137i \(0.875877\pi\)
\(84\) −1.71247 + 9.31108i −0.186846 + 1.01592i
\(85\) −0.0221933 + 0.154358i −0.00240720 + 0.0167425i
\(86\) −8.17293 23.6141i −0.881310 2.54638i
\(87\) 6.70135 + 3.45478i 0.718460 + 0.370392i
\(88\) 4.19749 12.1278i 0.447454 1.29283i
\(89\) −7.80637 + 7.44336i −0.827474 + 0.788995i −0.979936 0.199315i \(-0.936128\pi\)
0.152462 + 0.988309i \(0.451280\pi\)
\(90\) −0.182799 + 0.400273i −0.0192687 + 0.0421925i
\(91\) 18.5814 1.04379i 1.94786 0.109419i
\(92\) 16.3317 + 5.26977i 1.70270 + 0.549411i
\(93\) 5.00885 8.67558i 0.519394 0.899616i
\(94\) −1.98082 + 0.189145i −0.204305 + 0.0195088i
\(95\) 0.0835599 + 0.344439i 0.00857306 + 0.0353387i
\(96\) 3.49967 0.674507i 0.357184 0.0688416i
\(97\) 4.61424 2.96539i 0.468505 0.301090i −0.285005 0.958526i \(-0.591995\pi\)
0.753510 + 0.657436i \(0.228359\pi\)
\(98\) 7.12310 + 14.9197i 0.719542 + 1.50712i
\(99\) −0.489967 + 3.40780i −0.0492436 + 0.342496i
\(100\) −4.18878 + 17.2664i −0.418878 + 1.72664i
\(101\) −0.686509 + 14.4116i −0.0683102 + 1.43401i 0.661288 + 0.750132i \(0.270010\pi\)
−0.729598 + 0.683876i \(0.760293\pi\)
\(102\) 1.55394 1.22203i 0.153863 0.120999i
\(103\) 16.2332 + 1.55008i 1.59950 + 0.152734i 0.856353 0.516391i \(-0.172725\pi\)
0.743150 + 0.669125i \(0.233331\pi\)
\(104\) 10.8926 + 23.8515i 1.06811 + 2.33883i
\(105\) 0.0974065 + 0.483215i 0.00950590 + 0.0471569i
\(106\) −24.7212 15.8873i −2.40113 1.54311i
\(107\) −0.325665 + 1.34241i −0.0314833 + 0.129776i −0.985384 0.170345i \(-0.945512\pi\)
0.953901 + 0.300121i \(0.0970270\pi\)
\(108\) 3.32196 1.32991i 0.319656 0.127971i
\(109\) −9.44352 1.82009i −0.904525 0.174333i −0.284280 0.958741i \(-0.591755\pi\)
−0.620245 + 0.784408i \(0.712967\pi\)
\(110\) −0.0720857 1.51327i −0.00687310 0.144284i
\(111\) 0.941990 + 1.08711i 0.0894098 + 0.103184i
\(112\) −2.98106 + 3.18023i −0.281684 + 0.300504i
\(113\) −5.65962 + 12.3928i −0.532412 + 1.16582i 0.432111 + 0.901821i \(0.357769\pi\)
−0.964523 + 0.263999i \(0.914958\pi\)
\(114\) 2.24652 3.89108i 0.210406 0.364433i
\(115\) 0.891414 0.0613141i 0.0831247 0.00571757i
\(116\) 13.4892 + 23.3639i 1.25244 + 2.16929i
\(117\) −4.08024 5.72989i −0.377218 0.529728i
\(118\) 11.6286 + 3.41445i 1.07050 + 0.314326i
\(119\) 0.605789 2.13006i 0.0555326 0.195262i
\(120\) −0.584254 + 0.375477i −0.0533349 + 0.0342762i
\(121\) −0.279036 0.806222i −0.0253669 0.0732929i
\(122\) 18.4750 7.39627i 1.67265 0.669627i
\(123\) 1.47264 + 1.40416i 0.132784 + 0.126609i
\(124\) 31.8613 16.4257i 2.86123 1.47507i
\(125\) 0.264229 + 1.83775i 0.0236334 + 0.164374i
\(126\) 3.33349 5.28543i 0.296971 0.470864i
\(127\) 0.00174739 + 0.00382625i 0.000155056 + 0.000339524i 0.909710 0.415245i \(-0.136304\pi\)
−0.909554 + 0.415585i \(0.863577\pi\)
\(128\) 19.0647 + 7.63235i 1.68510 + 0.674611i
\(129\) −0.503421 + 10.5681i −0.0443238 + 0.930470i
\(130\) 2.24019 + 2.13601i 0.196477 + 0.187341i
\(131\) −1.24275 0.977309i −0.108579 0.0853878i 0.562393 0.826870i \(-0.309881\pi\)
−0.670973 + 0.741482i \(0.734123\pi\)
\(132\) −8.06752 + 9.31042i −0.702188 + 0.810368i
\(133\) −0.521075 5.00609i −0.0451829 0.434083i
\(134\) −15.5551 17.9515i −1.34375 1.55078i
\(135\) 0.134840 0.128570i 0.0116052 0.0110655i
\(136\) 3.10596 0.296583i 0.266334 0.0254318i
\(137\) 4.47727 + 7.75486i 0.382519 + 0.662542i 0.991422 0.130703i \(-0.0417233\pi\)
−0.608903 + 0.793245i \(0.708390\pi\)
\(138\) −8.71477 7.23555i −0.741851 0.615931i
\(139\) 8.80158 0.746541 0.373270 0.927723i \(-0.378236\pi\)
0.373270 + 0.927723i \(0.378236\pi\)
\(140\) −0.641593 + 1.64303i −0.0542245 + 0.138862i
\(141\) 0.808363 + 0.237357i 0.0680765 + 0.0199891i
\(142\) 5.74931 1.10809i 0.482471 0.0929887i
\(143\) 21.5255 + 11.0972i 1.80005 + 0.927991i
\(144\) 1.61776 + 0.311798i 0.134813 + 0.0259832i
\(145\) 1.10416 + 0.868323i 0.0916957 + 0.0721103i
\(146\) −17.2947 + 5.07820i −1.43132 + 0.420274i
\(147\) −0.452093 6.98539i −0.0372880 0.576145i
\(148\) 0.732524 + 5.09482i 0.0602131 + 0.418792i
\(149\) −16.6812 1.59286i −1.36658 0.130492i −0.614160 0.789181i \(-0.710505\pi\)
−0.752415 + 0.658689i \(0.771111\pi\)
\(150\) 6.80245 9.55270i 0.555418 0.779975i
\(151\) −3.88214 + 3.05295i −0.315924 + 0.248445i −0.763511 0.645795i \(-0.776526\pi\)
0.447587 + 0.894240i \(0.352284\pi\)
\(152\) 6.30297 3.24941i 0.511239 0.263562i
\(153\) −0.803107 + 0.235814i −0.0649274 + 0.0190644i
\(154\) −1.86258 + 21.4330i −0.150091 + 1.72712i
\(155\) 1.22224 1.41054i 0.0981729 0.113298i
\(156\) −1.19765 25.1418i −0.0958890 2.01296i
\(157\) −3.29071 + 9.50788i −0.262627 + 0.758811i 0.734179 + 0.678956i \(0.237567\pi\)
−0.996806 + 0.0798556i \(0.974554\pi\)
\(158\) 3.71374 + 15.3082i 0.295449 + 1.21786i
\(159\) 7.21710 + 10.1350i 0.572353 + 0.803757i
\(160\) 0.664030 0.0524962
\(161\) −12.6613 0.831899i −0.997848 0.0655628i
\(162\) −2.36184 −0.185564
\(163\) −6.05815 8.50747i −0.474511 0.666357i 0.506066 0.862495i \(-0.331099\pi\)
−0.980576 + 0.196138i \(0.937160\pi\)
\(164\) 1.71657 + 7.07578i 0.134041 + 0.552526i
\(165\) −0.209795 + 0.606163i −0.0163325 + 0.0471897i
\(166\) 1.17246 + 24.6131i 0.0910009 + 1.91034i
\(167\) −3.83708 + 4.42823i −0.296922 + 0.342666i −0.884533 0.466477i \(-0.845523\pi\)
0.587611 + 0.809143i \(0.300068\pi\)
\(168\) 8.93596 4.17324i 0.689425 0.321972i
\(169\) −35.0023 + 10.2776i −2.69248 + 0.790584i
\(170\) 0.327374 0.168773i 0.0251084 0.0129443i
\(171\) −1.49534 + 1.17595i −0.114352 + 0.0899273i
\(172\) −21.9601 + 30.8387i −1.67444 + 2.35143i
\(173\) −9.97988 0.952963i −0.758756 0.0724524i −0.291496 0.956572i \(-0.594153\pi\)
−0.467261 + 0.884120i \(0.654759\pi\)
\(174\) −2.53420 17.6258i −0.192117 1.33621i
\(175\) −0.111858 13.1364i −0.00845570 0.993022i
\(176\) −5.44243 + 1.59804i −0.410239 + 0.120457i
\(177\) −4.03353 3.17201i −0.303179 0.238423i
\(178\) 25.0150 + 4.82125i 1.87495 + 0.361368i
\(179\) 7.49825 + 3.86562i 0.560446 + 0.288930i 0.715081 0.699042i \(-0.246390\pi\)
−0.154635 + 0.987972i \(0.549420\pi\)
\(180\) 0.654628 0.126169i 0.0487931 0.00940410i
\(181\) 10.2331 + 3.00472i 0.760624 + 0.223339i 0.638968 0.769233i \(-0.279362\pi\)
0.121655 + 0.992572i \(0.461180\pi\)
\(182\) −27.4647 34.3188i −2.03582 2.54388i
\(183\) −8.42585 −0.622857
\(184\) −5.39693 17.0431i −0.397867 1.25643i
\(185\) 0.134001 + 0.232096i 0.00985194 + 0.0170641i
\(186\) −23.5531 + 2.24904i −1.72699 + 0.164908i
\(187\) 2.08558 1.98860i 0.152513 0.145421i
\(188\) 1.97419 + 2.27833i 0.143982 + 0.166164i
\(189\) −2.14202 + 1.55298i −0.155809 + 0.112963i
\(190\) 0.548187 0.632642i 0.0397697 0.0458967i
\(191\) −7.63894 6.00733i −0.552734 0.434675i 0.302325 0.953205i \(-0.402237\pi\)
−0.855060 + 0.518530i \(0.826480\pi\)
\(192\) −8.47699 8.08279i −0.611774 0.583325i
\(193\) −0.0649798 + 1.36409i −0.00467735 + 0.0981896i 0.995321 + 0.0966192i \(0.0308029\pi\)
−0.999999 + 0.00157040i \(0.999500\pi\)
\(194\) −12.0266 4.81473i −0.863461 0.345678i
\(195\) −0.544424 1.19212i −0.0389870 0.0853696i
\(196\) 12.1528 21.9023i 0.868055 1.56445i
\(197\) −2.00380 13.9367i −0.142765 0.992949i −0.927688 0.373357i \(-0.878207\pi\)
0.784923 0.619593i \(-0.212702\pi\)
\(198\) 7.22750 3.72604i 0.513636 0.264798i
\(199\) −2.29230 2.18571i −0.162497 0.154941i 0.604468 0.796629i \(-0.293386\pi\)
−0.766965 + 0.641689i \(0.778234\pi\)
\(200\) 17.1830 6.87904i 1.21502 0.486421i
\(201\) 3.28936 + 9.50398i 0.232014 + 0.670359i
\(202\) 28.6670 18.4231i 2.01700 1.29625i
\(203\) −13.8878 14.3190i −0.974734 1.00500i
\(204\) −2.87374 0.843807i −0.201202 0.0590783i
\(205\) 0.219902 + 0.308809i 0.0153586 + 0.0215682i
\(206\) −19.2573 33.3546i −1.34172 2.32392i
\(207\) 2.28692 + 4.21545i 0.158952 + 0.292994i
\(208\) 5.79454 10.0364i 0.401779 0.695902i
\(209\) 2.72075 5.95761i 0.188198 0.412096i
\(210\) 0.796208 0.849405i 0.0549436 0.0586145i
\(211\) 3.42287 + 3.95020i 0.235640 + 0.271943i 0.861237 0.508203i \(-0.169690\pi\)
−0.625597 + 0.780146i \(0.715145\pi\)
\(212\) 2.11840 + 44.4707i 0.145492 + 3.05426i
\(213\) −2.43425 0.469163i −0.166792 0.0321465i
\(214\) 3.02882 1.21256i 0.207046 0.0828887i
\(215\) −0.464727 + 1.91563i −0.0316941 + 0.130645i
\(216\) −3.13589 2.01532i −0.213371 0.137125i
\(217\) −19.8821 + 17.5266i −1.34969 + 1.18978i
\(218\) 9.43596 + 20.6619i 0.639084 + 1.39940i
\(219\) 7.59716 + 0.725441i 0.513368 + 0.0490207i
\(220\) −1.80419 + 1.41883i −0.121639 + 0.0956578i
\(221\) −0.280148 + 5.88104i −0.0188448 + 0.395602i
\(222\) 0.800969 3.30164i 0.0537575 0.221592i
\(223\) −0.514012 + 3.57503i −0.0344208 + 0.239402i −0.999767 0.0215695i \(-0.993134\pi\)
0.965347 + 0.260971i \(0.0840428\pi\)
\(224\) −9.34478 1.26246i −0.624374 0.0843516i
\(225\) −4.17707 + 2.68444i −0.278471 + 0.178962i
\(226\) 31.5962 6.08967i 2.10175 0.405079i
\(227\) 1.66877 + 6.87876i 0.110760 + 0.456560i 1.00000 0.000882393i \(-0.000280875\pi\)
−0.889239 + 0.457442i \(0.848766\pi\)
\(228\) −6.77630 + 0.647059i −0.448772 + 0.0428525i
\(229\) 3.94583 6.83438i 0.260748 0.451628i −0.705693 0.708518i \(-0.749364\pi\)
0.966441 + 0.256889i \(0.0826976\pi\)
\(230\) −1.33920 1.63099i −0.0883042 0.107544i
\(231\) 4.10485 8.13156i 0.270079 0.535017i
\(232\) 11.6750 25.5647i 0.766502 1.67841i
\(233\) 19.3597 18.4594i 1.26829 1.20932i 0.301585 0.953439i \(-0.402484\pi\)
0.966709 0.255877i \(-0.0823641\pi\)
\(234\) −5.43379 + 15.6999i −0.355218 + 1.02633i
\(235\) 0.139517 + 0.0719259i 0.00910107 + 0.00469193i
\(236\) −6.00546 17.3516i −0.390922 1.12950i
\(237\) 0.949168 6.60161i 0.0616551 0.428821i
\(238\) −4.92794 + 1.75270i −0.319431 + 0.113611i
\(239\) −4.12854 2.65325i −0.267053 0.171625i 0.400261 0.916401i \(-0.368920\pi\)
−0.667314 + 0.744777i \(0.732556\pi\)
\(240\) 0.284967 + 0.114084i 0.0183946 + 0.00736407i
\(241\) 12.3115 17.2891i 0.793053 1.11369i −0.197997 0.980203i \(-0.563444\pi\)
0.991051 0.133485i \(-0.0426168\pi\)
\(242\) −1.16881 + 1.64136i −0.0751338 + 0.105511i
\(243\) 0.928368 + 0.371662i 0.0595548 + 0.0238422i
\(244\) −25.3639 16.3004i −1.62375 1.04352i
\(245\) 0.163595 1.29388i 0.0104517 0.0826630i
\(246\) 0.683941 4.75691i 0.0436065 0.303290i
\(247\) 4.37665 + 12.6455i 0.278480 + 0.804614i
\(248\) −33.1913 17.1113i −2.10765 1.08657i
\(249\) 3.41229 9.85915i 0.216245 0.624799i
\(250\) 3.17365 3.02607i 0.200719 0.191386i
\(251\) −4.74187 + 10.3832i −0.299304 + 0.655384i −0.998209 0.0598305i \(-0.980944\pi\)
0.698904 + 0.715215i \(0.253671\pi\)
\(252\) −9.45234 + 0.530974i −0.595441 + 0.0334482i
\(253\) −13.6485 9.29192i −0.858076 0.584178i
\(254\) 0.00496738 0.00860375i 0.000311681 0.000539848i
\(255\) −0.155239 + 0.0148235i −0.00972145 + 0.000928286i
\(256\) −5.91196 24.3695i −0.369498 1.52309i
\(257\) −13.2460 + 2.55295i −0.826260 + 0.159249i −0.584816 0.811166i \(-0.698833\pi\)
−0.241444 + 0.970415i \(0.577621\pi\)
\(258\) 21.0216 13.5098i 1.30875 0.841083i
\(259\) −1.44451 3.52101i −0.0897574 0.218785i
\(260\) 0.667390 4.64180i 0.0413898 0.287872i
\(261\) −1.77750 + 7.32694i −0.110024 + 0.453526i
\(262\) −0.177674 + 3.72983i −0.0109767 + 0.230430i
\(263\) 3.13578 2.46601i 0.193361 0.152061i −0.516785 0.856115i \(-0.672871\pi\)
0.710146 + 0.704055i \(0.248629\pi\)
\(264\) 12.7756 + 1.21992i 0.786282 + 0.0750808i
\(265\) 0.962973 + 2.10862i 0.0591550 + 0.129531i
\(266\) −8.91732 + 7.86084i −0.546756 + 0.481979i
\(267\) −9.07397 5.83149i −0.555318 0.356881i
\(268\) −8.48430 + 34.9728i −0.518261 + 2.13630i
\(269\) 24.6319 9.86114i 1.50184 0.601244i 0.532378 0.846507i \(-0.321298\pi\)
0.969457 + 0.245262i \(0.0788741\pi\)
\(270\) −0.432086 0.0832778i −0.0262959 0.00506813i
\(271\) −0.414589 8.70329i −0.0251845 0.528687i −0.975846 0.218458i \(-0.929897\pi\)
0.950662 0.310229i \(-0.100406\pi\)
\(272\) −0.903057 1.04218i −0.0547559 0.0631916i
\(273\) 5.39511 + 17.8116i 0.326527 + 1.07801i
\(274\) 8.78569 19.2380i 0.530763 1.16221i
\(275\) 8.54734 14.8044i 0.515424 0.892741i
\(276\) −1.27088 + 17.1137i −0.0764979 + 1.03012i
\(277\) 7.92492 + 13.7264i 0.476162 + 0.824737i 0.999627 0.0273100i \(-0.00869411\pi\)
−0.523465 + 0.852047i \(0.675361\pi\)
\(278\) −12.0582 16.9333i −0.723201 1.01559i
\(279\) 9.61191 + 2.82231i 0.575450 + 0.168967i
\(280\) 1.78194 0.448393i 0.106491 0.0267966i
\(281\) −16.1821 + 10.3996i −0.965342 + 0.620388i −0.925472 0.378817i \(-0.876331\pi\)
−0.0398706 + 0.999205i \(0.512695\pi\)
\(282\) −0.650808 1.88039i −0.0387551 0.111975i
\(283\) −26.2443 + 10.5066i −1.56006 + 0.624554i −0.981564 0.191132i \(-0.938784\pi\)
−0.578496 + 0.815685i \(0.696360\pi\)
\(284\) −6.42006 6.12151i −0.380960 0.363245i
\(285\) −0.315029 + 0.162409i −0.0186607 + 0.00962028i
\(286\) −8.14014 56.6159i −0.481336 3.34777i
\(287\) −2.50753 4.76389i −0.148015 0.281204i
\(288\) 1.48057 + 3.24200i 0.0872436 + 0.191037i
\(289\) −15.1319 6.05788i −0.890109 0.356346i
\(290\) 0.157860 3.31390i 0.00926988 0.194599i
\(291\) 3.96965 + 3.78506i 0.232705 + 0.221884i
\(292\) 21.4659 + 16.8809i 1.25620 + 0.987883i
\(293\) −15.9217 + 18.3747i −0.930158 + 1.07346i 0.0669728 + 0.997755i \(0.478666\pi\)
−0.997130 + 0.0757042i \(0.975880\pi\)
\(294\) −12.8198 + 10.4398i −0.747666 + 0.608859i
\(295\) −0.626070 0.722523i −0.0364512 0.0420669i
\(296\) 3.88071 3.70025i 0.225562 0.215073i
\(297\) −3.42725 + 0.327263i −0.198869 + 0.0189897i
\(298\) 19.7887 + 34.2751i 1.14633 + 1.98550i
\(299\) 33.2829 5.50357i 1.92480 0.318280i
\(300\) −17.7672 −1.02579
\(301\) 10.1820 26.0748i 0.586883 1.50293i
\(302\) 11.1921 + 3.28629i 0.644032 + 0.189105i
\(303\) −14.1672 + 2.73051i −0.813885 + 0.156864i
\(304\) −2.78577 1.43616i −0.159775 0.0823697i
\(305\) −1.54147 0.297093i −0.0882641 0.0170115i
\(306\) 1.55394 + 1.22203i 0.0888327 + 0.0698588i
\(307\) 7.86668 2.30987i 0.448975 0.131831i −0.0494255 0.998778i \(-0.515739\pi\)
0.498401 + 0.866947i \(0.333921\pi\)
\(308\) 28.0876 16.5369i 1.60044 0.942275i
\(309\) 2.32073 + 16.1410i 0.132022 + 0.918232i
\(310\) −4.38821 0.419023i −0.249234 0.0237989i
\(311\) −8.87457 + 12.4626i −0.503231 + 0.706689i −0.985565 0.169299i \(-0.945850\pi\)
0.482334 + 0.875987i \(0.339789\pi\)
\(312\) −20.6111 + 16.2087i −1.16687 + 0.917640i
\(313\) 3.27701 1.68942i 0.185228 0.0954914i −0.363118 0.931743i \(-0.618288\pi\)
0.548346 + 0.836252i \(0.315258\pi\)
\(314\) 22.8004 6.69482i 1.28670 0.377810i
\(315\) −0.446629 + 0.208583i −0.0251647 + 0.0117523i
\(316\) 15.6285 18.0362i 0.879170 1.01462i
\(317\) 0.218602 + 4.58903i 0.0122779 + 0.257745i 0.996658 + 0.0816885i \(0.0260313\pi\)
−0.984380 + 0.176057i \(0.943666\pi\)
\(318\) 9.61125 27.7699i 0.538972 1.55726i
\(319\) −6.11964 25.2255i −0.342634 1.41236i
\(320\) −1.26582 1.77760i −0.0707617 0.0993710i
\(321\) −1.38135 −0.0770994
\(322\) 15.7455 + 25.4987i 0.877461 + 1.42099i
\(323\) 1.59229 0.0885972
\(324\) 2.07561 + 2.91478i 0.115311 + 0.161932i
\(325\) 8.23431 + 33.9423i 0.456757 + 1.88278i
\(326\) −8.06784 + 23.3105i −0.446836 + 1.29105i
\(327\) −0.457610 9.60642i −0.0253059 0.531236i
\(328\) 4.96709 5.73232i 0.274261 0.316515i
\(329\) −1.82665 1.27745i −0.100706 0.0704281i
\(330\) 1.45361 0.426820i 0.0800188 0.0234956i
\(331\) 9.74912 5.02602i 0.535860 0.276255i −0.168982 0.985619i \(-0.554048\pi\)
0.704842 + 0.709364i \(0.251018\pi\)
\(332\) 29.3450 23.0771i 1.61052 1.26652i
\(333\) −0.834388 + 1.17173i −0.0457242 + 0.0642106i
\(334\) 13.7763 + 1.31547i 0.753803 + 0.0719795i
\(335\) 0.266664 + 1.85469i 0.0145694 + 0.101332i
\(336\) −3.79340 2.14726i −0.206947 0.117143i
\(337\) 10.8907 3.19779i 0.593254 0.174195i 0.0286954 0.999588i \(-0.490865\pi\)
0.564558 + 0.825393i \(0.309047\pi\)
\(338\) 67.7261 + 53.2604i 3.68382 + 2.89699i
\(339\) −13.3778 2.57836i −0.726583 0.140037i
\(340\) −0.495984 0.255698i −0.0268985 0.0138672i
\(341\) −33.8661 + 6.52715i −1.83395 + 0.353465i
\(342\) 4.31103 + 1.26583i 0.233114 + 0.0684485i
\(343\) −4.76218 + 17.8975i −0.257133 + 0.966376i
\(344\) 39.4388 2.12640
\(345\) 0.269745 + 0.851831i 0.0145226 + 0.0458610i
\(346\) 11.8390 + 20.5058i 0.636471 + 1.10240i
\(347\) −23.8519 + 2.27758i −1.28043 + 0.122267i −0.713007 0.701157i \(-0.752667\pi\)
−0.567427 + 0.823423i \(0.692061\pi\)
\(348\) −19.5251 + 18.6172i −1.04666 + 0.997986i
\(349\) −22.8982 26.4260i −1.22571 1.41455i −0.879166 0.476517i \(-0.841899\pi\)
−0.346548 0.938032i \(-0.612646\pi\)
\(350\) −25.1199 + 18.2121i −1.34272 + 0.973480i
\(351\) 4.60642 5.31609i 0.245873 0.283752i
\(352\) −9.64531 7.58516i −0.514097 0.404290i
\(353\) 10.0914 + 9.62216i 0.537113 + 0.512136i 0.909367 0.415995i \(-0.136567\pi\)
−0.372254 + 0.928131i \(0.621415\pi\)
\(354\) −0.576668 + 12.1058i −0.0306496 + 0.643413i
\(355\) −0.428791 0.171662i −0.0227579 0.00911088i
\(356\) −16.0335 35.1084i −0.849771 1.86074i
\(357\) 2.21283 + 0.0865326i 0.117116 + 0.00457979i
\(358\) −2.83556 19.7218i −0.149864 1.04233i
\(359\) −3.76322 + 1.94007i −0.198615 + 0.102393i −0.554665 0.832074i \(-0.687154\pi\)
0.356050 + 0.934467i \(0.384123\pi\)
\(360\) −0.502636 0.479263i −0.0264913 0.0252594i
\(361\) −14.2793 + 5.71657i −0.751542 + 0.300872i
\(362\) −8.23864 23.8040i −0.433013 1.25111i
\(363\) 0.717711 0.461245i 0.0376700 0.0242091i
\(364\) −18.2171 + 64.0544i −0.954834 + 3.35736i
\(365\) 1.36428 + 0.400589i 0.0714098 + 0.0209678i
\(366\) 11.5434 + 16.2105i 0.603385 + 0.847335i
\(367\) −7.76568 13.4506i −0.405365 0.702114i 0.588998 0.808134i \(-0.299522\pi\)
−0.994364 + 0.106021i \(0.966189\pi\)
\(368\) −4.75229 + 6.31239i −0.247730 + 0.329056i
\(369\) −1.01739 + 1.76217i −0.0529633 + 0.0917351i
\(370\) 0.262948 0.575776i 0.0136700 0.0299332i
\(371\) −9.54284 31.5050i −0.495439 1.63566i
\(372\) 23.4742 + 27.0907i 1.21708 + 1.40459i
\(373\) −0.0117032 0.245680i −0.000605968 0.0127208i 0.998544 0.0539414i \(-0.0171784\pi\)
−0.999150 + 0.0412205i \(0.986875\pi\)
\(374\) −6.68311 1.28806i −0.345575 0.0666042i
\(375\) −1.72365 + 0.690047i −0.0890091 + 0.0356339i
\(376\) 0.740402 3.05198i 0.0381833 0.157394i
\(377\) 44.6151 + 28.6724i 2.29780 + 1.47670i
\(378\) 5.92234 + 1.99344i 0.304613 + 0.102531i
\(379\) 7.41217 + 16.2304i 0.380738 + 0.833699i 0.998865 + 0.0476215i \(0.0151641\pi\)
−0.618128 + 0.786078i \(0.712109\pi\)
\(380\) −1.26251 0.120555i −0.0647652 0.00618432i
\(381\) −0.00330643 + 0.00260020i −0.000169393 + 0.000133212i
\(382\) −1.09213 + 22.9266i −0.0558781 + 1.17303i
\(383\) 0.0269614 0.111137i 0.00137766 0.00567881i −0.971119 0.238597i \(-0.923312\pi\)
0.972496 + 0.232919i \(0.0748275\pi\)
\(384\) −2.92254 + 20.3267i −0.149140 + 1.03729i
\(385\) 1.03768 1.34289i 0.0528849 0.0684401i
\(386\) 2.71340 1.74380i 0.138108 0.0887568i
\(387\) −10.3889 + 2.00230i −0.528097 + 0.101782i
\(388\) 4.62718 + 19.0735i 0.234909 + 0.968309i
\(389\) −3.16971 + 0.302671i −0.160711 + 0.0153460i −0.175101 0.984550i \(-0.556025\pi\)
0.0143905 + 0.999896i \(0.495419\pi\)
\(390\) −1.54766 + 2.68062i −0.0783687 + 0.135739i
\(391\) 0.676454 3.95676i 0.0342098 0.200102i
\(392\) −25.9294 + 2.92232i −1.30963 + 0.147600i
\(393\) 0.656771 1.43813i 0.0331297 0.0725439i
\(394\) −24.0676 + 22.9484i −1.21251 + 1.15612i
\(395\) 0.406416 1.17426i 0.0204490 0.0590836i
\(396\) −10.9500 5.64510i −0.550256 0.283677i
\(397\) −6.56051 18.9553i −0.329262 0.951341i −0.981187 0.193058i \(-0.938160\pi\)
0.651925 0.758283i \(-0.273962\pi\)
\(398\) −1.06462 + 7.40458i −0.0533645 + 0.371158i
\(399\) 4.74213 1.68662i 0.237403 0.0844364i
\(400\) −6.88186 4.42270i −0.344093 0.221135i
\(401\) 12.0194 + 4.81185i 0.600221 + 0.240292i 0.651818 0.758376i \(-0.274007\pi\)
−0.0515965 + 0.998668i \(0.516431\pi\)
\(402\) 13.7783 19.3488i 0.687197 0.965033i
\(403\) 40.8746 57.4003i 2.03611 2.85931i
\(404\) −47.9291 19.1879i −2.38456 0.954634i
\(405\) 0.156735 + 0.100728i 0.00778825 + 0.00500520i
\(406\) −8.52195 + 46.3358i −0.422937 + 2.29961i
\(407\) 0.704798 4.90198i 0.0349355 0.242982i
\(408\) 1.02048 + 2.94848i 0.0505213 + 0.145972i
\(409\) 8.84755 + 4.56123i 0.437483 + 0.225538i 0.662875 0.748730i \(-0.269336\pi\)
−0.225392 + 0.974268i \(0.572366\pi\)
\(410\) 0.292851 0.846137i 0.0144629 0.0417877i
\(411\) −6.48071 + 6.17934i −0.319670 + 0.304804i
\(412\) −24.2399 + 53.0780i −1.19422 + 2.61497i
\(413\) 7.43691 + 11.3582i 0.365946 + 0.558902i
\(414\) 4.97701 10.1750i 0.244607 0.500072i
\(415\) 0.971891 1.68337i 0.0477083 0.0826332i
\(416\) 24.9569 2.38310i 1.22361 0.116841i
\(417\) 2.07505 + 8.55348i 0.101616 + 0.418866i
\(418\) −15.1893 + 2.92749i −0.742931 + 0.143188i
\(419\) 11.4857 7.38141i 0.561113 0.360606i −0.229133 0.973395i \(-0.573589\pi\)
0.790246 + 0.612790i \(0.209953\pi\)
\(420\) −1.74798 0.236148i −0.0852926 0.0115228i
\(421\) −2.50158 + 17.3989i −0.121920 + 0.847970i 0.833458 + 0.552583i \(0.186358\pi\)
−0.955378 + 0.295387i \(0.904551\pi\)
\(422\) 2.91045 11.9970i 0.141678 0.584006i
\(423\) −0.0400873 + 0.841536i −0.00194911 + 0.0409169i
\(424\) 36.4568 28.6699i 1.77050 1.39233i
\(425\) 4.13719 + 0.395053i 0.200683 + 0.0191629i
\(426\) 2.43230 + 5.32600i 0.117845 + 0.258046i
\(427\) 21.1280 + 7.11159i 1.02245 + 0.344154i
\(428\) −4.15819 2.67231i −0.200994 0.129171i
\(429\) −5.70952 + 23.5350i −0.275658 + 1.13628i
\(430\) 4.32215 1.73033i 0.208433 0.0834439i
\(431\) −16.7550 3.22927i −0.807061 0.155548i −0.230999 0.972954i \(-0.574199\pi\)
−0.576062 + 0.817406i \(0.695411\pi\)
\(432\) 0.0783928 + 1.64567i 0.00377168 + 0.0791772i
\(433\) −14.3300 16.5377i −0.688656 0.794751i 0.298517 0.954404i \(-0.403508\pi\)
−0.987173 + 0.159653i \(0.948962\pi\)
\(434\) 60.9579 + 14.2397i 2.92607 + 0.683529i
\(435\) −0.583530 + 1.27775i −0.0279781 + 0.0612635i
\(436\) 17.2067 29.8029i 0.824053 1.42730i
\(437\) −1.91500 8.92008i −0.0916070 0.426705i
\(438\) −9.01244 15.6100i −0.430631 0.745875i
\(439\) 3.77581 + 5.30238i 0.180209 + 0.253069i 0.894793 0.446481i \(-0.147323\pi\)
−0.714583 + 0.699550i \(0.753384\pi\)
\(440\) 2.29421 + 0.673641i 0.109372 + 0.0321146i
\(441\) 6.68189 2.08622i 0.318185 0.0993436i
\(442\) 11.6983 7.51805i 0.556432 0.357597i
\(443\) −0.648416 1.87348i −0.0308072 0.0890115i 0.928549 0.371211i \(-0.121057\pi\)
−0.959356 + 0.282199i \(0.908936\pi\)
\(444\) −4.77851 + 1.91302i −0.226778 + 0.0907881i
\(445\) −1.45442 1.38679i −0.0689461 0.0657400i
\(446\) 7.58218 3.90889i 0.359027 0.185091i
\(447\) −2.38478 16.5865i −0.112796 0.784514i
\(448\) 14.4341 + 27.4225i 0.681949 + 1.29559i
\(449\) 11.7898 + 25.8162i 0.556397 + 1.21834i 0.953730 + 0.300665i \(0.0972088\pi\)
−0.397332 + 0.917675i \(0.630064\pi\)
\(450\) 10.8872 + 4.35856i 0.513226 + 0.205465i
\(451\) 0.333332 6.99750i 0.0156960 0.329499i
\(452\) −35.2824 33.6417i −1.65955 1.58237i
\(453\) −3.88214 3.05295i −0.182399 0.143440i
\(454\) 10.9478 12.6345i 0.513807 0.592964i
\(455\) 0.358976 + 3.44877i 0.0168291 + 0.161681i
\(456\) 4.64379 + 5.35922i 0.217466 + 0.250969i
\(457\) 8.53580 8.13887i 0.399288 0.380720i −0.463660 0.886013i \(-0.653464\pi\)
0.862948 + 0.505293i \(0.168616\pi\)
\(458\) −18.5544 + 1.77173i −0.866991 + 0.0827876i
\(459\) −0.418506 0.724874i −0.0195342 0.0338342i
\(460\) −0.835926 + 3.08605i −0.0389752 + 0.143888i
\(461\) −34.2421 −1.59481 −0.797407 0.603442i \(-0.793796\pi\)
−0.797407 + 0.603442i \(0.793796\pi\)
\(462\) −21.2679 + 3.24294i −0.989473 + 0.150875i
\(463\) 1.10474 + 0.324381i 0.0513417 + 0.0150753i 0.307303 0.951612i \(-0.400574\pi\)
−0.255961 + 0.966687i \(0.582392\pi\)
\(464\) −12.1971 + 2.35079i −0.566234 + 0.109133i
\(465\) 1.65894 + 0.855241i 0.0769313 + 0.0396609i
\(466\) −62.0368 11.9566i −2.87380 0.553879i
\(467\) 26.0805 + 20.5099i 1.20686 + 0.949085i 0.999574 0.0291954i \(-0.00929450\pi\)
0.207286 + 0.978280i \(0.433537\pi\)
\(468\) 24.1508 7.09130i 1.11637 0.327796i
\(469\) −0.226568 26.6077i −0.0104619 1.22863i
\(470\) −0.0527601 0.366954i −0.00243364 0.0169263i
\(471\) −10.0157 0.956381i −0.461498 0.0440677i
\(472\) −11.0953 + 15.5812i −0.510702 + 0.717181i
\(473\) 28.6324 22.5168i 1.31652 1.03532i
\(474\) −14.0012 + 7.21811i −0.643095 + 0.331539i
\(475\) 9.06308 2.66116i 0.415842 0.122102i
\(476\) 6.49376 + 4.54136i 0.297641 + 0.208153i
\(477\) −8.14781 + 9.40307i −0.373062 + 0.430537i
\(478\) 0.551521 + 11.5778i 0.0252260 + 0.529558i
\(479\) 7.01488 20.2682i 0.320518 0.926076i −0.663526 0.748153i \(-0.730941\pi\)
0.984044 0.177923i \(-0.0569378\pi\)
\(480\) 0.156551 + 0.645312i 0.00714555 + 0.0294543i
\(481\) 5.86925 + 8.24221i 0.267615 + 0.375812i
\(482\) −50.1292 −2.28332
\(483\) −2.17656 12.5005i −0.0990369 0.568793i
\(484\) 3.05279 0.138763
\(485\) 0.592767 + 0.832425i 0.0269162 + 0.0377985i
\(486\) −0.556825 2.29526i −0.0252581 0.104115i
\(487\) −5.89456 + 17.0312i −0.267108 + 0.771757i 0.729072 + 0.684437i \(0.239952\pi\)
−0.996180 + 0.0873209i \(0.972169\pi\)
\(488\) 1.49448 + 31.3730i 0.0676520 + 1.42019i
\(489\) 6.83940 7.89309i 0.309288 0.356938i
\(490\) −2.71342 + 1.45788i −0.122580 + 0.0658602i
\(491\) −9.14412 + 2.68496i −0.412668 + 0.121170i −0.481475 0.876460i \(-0.659899\pi\)
0.0688071 + 0.997630i \(0.478081\pi\)
\(492\) −6.47163 + 3.33636i −0.291764 + 0.150415i
\(493\) 4.96049 3.90097i 0.223409 0.175691i
\(494\) 18.3326 25.7446i 0.824824 1.15830i
\(495\) −0.638537 0.0609729i −0.0287001 0.00274053i
\(496\) 2.34884 + 16.3365i 0.105466 + 0.733531i
\(497\) 5.70794 + 3.23099i 0.256036 + 0.144930i
\(498\) −23.6428 + 6.94216i −1.05946 + 0.311086i
\(499\) 31.7417 + 24.9620i 1.42095 + 1.11745i 0.974951 + 0.222419i \(0.0713953\pi\)
0.446003 + 0.895032i \(0.352847\pi\)
\(500\) −6.52356 1.25731i −0.291742 0.0562287i
\(501\) −5.20803 2.68492i −0.232677 0.119954i
\(502\) 26.4727 5.10219i 1.18153 0.227722i
\(503\) −24.7881 7.27843i −1.10524 0.324529i −0.322311 0.946634i \(-0.604460\pi\)
−0.782934 + 0.622105i \(0.786278\pi\)
\(504\) 6.16233 + 7.70020i 0.274492 + 0.342994i
\(505\) −2.68810 −0.119619
\(506\) 0.821799 + 38.9883i 0.0365334 + 1.73324i
\(507\) −18.2400 31.5926i −0.810066 1.40308i
\(508\) −0.0149834 + 0.00143074i −0.000664781 + 6.34789e-5i
\(509\) 22.9791 21.9105i 1.01853 0.971166i 0.0189403 0.999821i \(-0.493971\pi\)
0.999589 + 0.0286545i \(0.00912227\pi\)
\(510\) 0.241197 + 0.278356i 0.0106804 + 0.0123258i
\(511\) −18.4377 8.23121i −0.815636 0.364127i
\(512\) −11.8889 + 13.7205i −0.525418 + 0.606365i
\(513\) −1.49534 1.17595i −0.0660211 0.0519196i
\(514\) 23.0586 + 21.9863i 1.01707 + 0.969775i
\(515\) −0.144563 + 3.03475i −0.00637020 + 0.133727i
\(516\) −35.1467 14.0706i −1.54725 0.619424i
\(517\) −1.20494 2.63844i −0.0529930 0.116038i
\(518\) −4.79509 + 7.60288i −0.210684 + 0.334051i
\(519\) −1.42675 9.92323i −0.0626272 0.435582i
\(520\) −4.34221 + 2.23857i −0.190419 + 0.0981676i
\(521\) −22.3033 21.2661i −0.977125 0.931687i 0.0205535 0.999789i \(-0.493457\pi\)
−0.997678 + 0.0681021i \(0.978306\pi\)
\(522\) 16.5315 6.61820i 0.723562 0.289671i
\(523\) −0.516103 1.49118i −0.0225676 0.0652048i 0.933154 0.359476i \(-0.117044\pi\)
−0.955722 + 0.294271i \(0.904923\pi\)
\(524\) 4.75919 3.05854i 0.207906 0.133613i
\(525\) 12.7398 3.20574i 0.556009 0.139910i
\(526\) −9.04037 2.65449i −0.394179 0.115741i
\(527\) −4.86374 6.83017i −0.211868 0.297527i
\(528\) −2.83610 4.91227i −0.123425 0.213779i
\(529\) −22.9796 + 0.969162i −0.999112 + 0.0421375i
\(530\) 2.73749 4.74147i 0.118909 0.205956i
\(531\) 2.13165 4.66766i 0.0925057 0.202559i
\(532\) 17.5378 + 4.09683i 0.760361 + 0.177620i
\(533\) 9.37307 + 10.8171i 0.405993 + 0.468540i
\(534\) 1.21217 + 25.4465i 0.0524556 + 1.10118i
\(535\) −0.252711 0.0487060i −0.0109256 0.00210574i
\(536\) 34.8039 13.9334i 1.50330 0.601831i
\(537\) −1.98887 + 8.19824i −0.0858262 + 0.353780i
\(538\) −52.7176 33.8795i −2.27282 1.46065i
\(539\) −17.1562 + 16.9254i −0.738968 + 0.729030i
\(540\) 0.276947 + 0.606430i 0.0119179 + 0.0260966i
\(541\) −28.7263 2.74303i −1.23504 0.117932i −0.542963 0.839757i \(-0.682698\pi\)
−0.692076 + 0.721825i \(0.743304\pi\)
\(542\) −16.1762 + 12.7211i −0.694829 + 0.546420i
\(543\) −0.507469 + 10.6531i −0.0217776 + 0.457167i
\(544\) 0.703311 2.89909i 0.0301542 0.124297i
\(545\) 0.255002 1.77358i 0.0109231 0.0759718i
\(546\) 26.8763 34.7815i 1.15020 1.48851i
\(547\) −10.1806 + 6.54268i −0.435291 + 0.279745i −0.739879 0.672739i \(-0.765117\pi\)
0.304588 + 0.952484i \(0.401481\pi\)
\(548\) −31.4628 + 6.06396i −1.34403 + 0.259040i
\(549\) −1.98647 8.18834i −0.0847805 0.349470i
\(550\) −40.1921 + 3.83788i −1.71380 + 0.163648i
\(551\) 7.17134 12.4211i 0.305509 0.529158i
\(552\) 15.2903 9.26285i 0.650797 0.394253i
\(553\) −7.95195 + 15.7525i −0.338151 + 0.669865i
\(554\) 15.5510 34.0519i 0.660697 1.44673i
\(555\) −0.193962 + 0.184942i −0.00823323 + 0.00785037i
\(556\) −10.3009 + 29.7624i −0.436854 + 1.26221i
\(557\) −40.8682 21.0690i −1.73164 0.892724i −0.969420 0.245409i \(-0.921078\pi\)
−0.762223 0.647314i \(-0.775892\pi\)
\(558\) −7.73849 22.3589i −0.327596 0.946528i
\(559\) −10.5914 + 73.6650i −0.447970 + 3.11570i
\(560\) −0.618270 0.526584i −0.0261267 0.0222523i
\(561\) 2.42424 + 1.55796i 0.102351 + 0.0657773i
\(562\) 42.1772 + 16.8852i 1.77914 + 0.712260i
\(563\) 3.77913 5.30705i 0.159271 0.223666i −0.727227 0.686397i \(-0.759191\pi\)
0.886498 + 0.462732i \(0.153131\pi\)
\(564\) −1.74868 + 2.45567i −0.0736326 + 0.103403i
\(565\) −2.35649 0.943396i −0.0991382 0.0396890i
\(566\) 56.1683 + 36.0972i 2.36093 + 1.51728i
\(567\) −2.01421 1.71551i −0.0845887 0.0720447i
\(568\) −1.31513 + 9.14696i −0.0551818 + 0.383798i
\(569\) −7.13525 20.6160i −0.299125 0.864266i −0.989972 0.141265i \(-0.954883\pi\)
0.690846 0.723002i \(-0.257238\pi\)
\(570\) 0.744049 + 0.383584i 0.0311648 + 0.0160666i
\(571\) 0.826372 2.38764i 0.0345826 0.0999198i −0.926388 0.376570i \(-0.877103\pi\)
0.960971 + 0.276651i \(0.0892245\pi\)
\(572\) −62.7169 + 59.8005i −2.62233 + 2.50038i
\(573\) 4.03704 8.83989i 0.168650 0.369292i
\(574\) −5.72992 + 11.3508i −0.239162 + 0.473772i
\(575\) −2.76258 23.6519i −0.115208 0.986352i
\(576\) 5.85643 10.1436i 0.244018 0.422651i
\(577\) 13.8409 1.32165i 0.576205 0.0550209i 0.197114 0.980381i \(-0.436843\pi\)
0.379090 + 0.925360i \(0.376237\pi\)
\(578\) 9.07591 + 37.4114i 0.377508 + 1.55611i
\(579\) −1.34096 + 0.258449i −0.0557285 + 0.0107408i
\(580\) −4.22846 + 2.71747i −0.175577 + 0.112837i
\(581\) −16.8777 + 21.8419i −0.700204 + 0.906156i
\(582\) 1.84363 12.8227i 0.0764209 0.531519i
\(583\) 10.0990 41.6285i 0.418256 1.72408i
\(584\) 1.35363 28.4161i 0.0560134 1.17587i
\(585\) 1.03016 0.810131i 0.0425921 0.0334948i
\(586\) 57.1637 + 5.45847i 2.36141 + 0.225488i
\(587\) −11.1580 24.4326i −0.460539 1.00844i −0.987364 0.158466i \(-0.949345\pi\)
0.526825 0.849974i \(-0.323382\pi\)
\(588\) 24.1500 + 6.64654i 0.995931 + 0.274099i
\(589\) −16.0319 10.3031i −0.660582 0.424530i
\(590\) −0.532344 + 2.19435i −0.0219163 + 0.0903400i
\(591\) 13.0714 5.23302i 0.537687 0.215258i
\(592\) −2.32708 0.448508i −0.0956425 0.0184336i
\(593\) −0.345173 7.24608i −0.0141746 0.297561i −0.994812 0.101729i \(-0.967562\pi\)
0.980638 0.195832i \(-0.0627406\pi\)
\(594\) 5.32495 + 6.14533i 0.218486 + 0.252146i
\(595\) 0.401776 + 0.0938547i 0.0164712 + 0.00384767i
\(596\) 24.9089 54.5429i 1.02031 2.23416i
\(597\) 1.58366 2.74299i 0.0648151 0.112263i
\(598\) −56.1859 56.4929i −2.29761 2.31017i
\(599\) 14.9234 + 25.8480i 0.609752 + 1.05612i 0.991281 + 0.131765i \(0.0420645\pi\)
−0.381529 + 0.924357i \(0.624602\pi\)
\(600\) 10.7362 + 15.0769i 0.438303 + 0.615510i
\(601\) 20.4473 + 6.00386i 0.834061 + 0.244902i 0.670761 0.741674i \(-0.265968\pi\)
0.163301 + 0.986576i \(0.447786\pi\)
\(602\) −64.1146 + 16.1333i −2.61312 + 0.657545i
\(603\) −8.46058 + 5.43729i −0.344542 + 0.221423i
\(604\) −5.78005 16.7003i −0.235187 0.679527i
\(605\) 0.147565 0.0590760i 0.00599936 0.00240178i
\(606\) 24.6623 + 23.5155i 1.00184 + 0.955251i
\(607\) −20.1463 + 10.3861i −0.817713 + 0.421560i −0.815726 0.578438i \(-0.803663\pi\)
−0.00198614 + 0.999998i \(0.500632\pi\)
\(608\) −0.964911 6.71110i −0.0391323 0.272171i
\(609\) 10.6412 16.8722i 0.431203 0.683695i
\(610\) 1.54023 + 3.37264i 0.0623622 + 0.136554i
\(611\) 5.50173 + 2.20256i 0.222576 + 0.0891061i
\(612\) 0.142511 2.99167i 0.00576066 0.120931i
\(613\) 25.8949 + 24.6907i 1.04588 + 0.997248i 0.999999 0.00169849i \(-0.000540646\pi\)
0.0458853 + 0.998947i \(0.485389\pi\)
\(614\) −15.2213 11.9702i −0.614282 0.483076i
\(615\) −0.248260 + 0.286508i −0.0100108 + 0.0115531i
\(616\) −31.0053 13.8418i −1.24924 0.557702i
\(617\) 28.4799 + 32.8675i 1.14656 + 1.32320i 0.938580 + 0.345063i \(0.112142\pi\)
0.207976 + 0.978134i \(0.433312\pi\)
\(618\) 27.8743 26.5781i 1.12127 1.06913i
\(619\) 13.0848 1.24945i 0.525922 0.0502195i 0.171281 0.985222i \(-0.445209\pi\)
0.354641 + 0.935003i \(0.384603\pi\)
\(620\) 3.33928 + 5.78380i 0.134109 + 0.232283i
\(621\) −3.55746 + 3.21628i −0.142756 + 0.129065i
\(622\) 36.1349 1.44888
\(623\) 17.8312 + 22.2811i 0.714393 + 0.892675i
\(624\) 11.1196 + 3.26502i 0.445142 + 0.130705i
\(625\) 24.0381 4.63297i 0.961525 0.185319i
\(626\) −7.73977 3.99013i −0.309343 0.159478i
\(627\) 6.43111 + 1.23950i 0.256834 + 0.0495007i
\(628\) −28.2994 22.2549i −1.12927 0.888068i
\(629\) 1.15524 0.339208i 0.0460623 0.0135251i
\(630\) 1.01317 + 0.573510i 0.0403658 + 0.0228492i
\(631\) −4.11620 28.6288i −0.163863 1.13969i −0.891265 0.453482i \(-0.850182\pi\)
0.727402 0.686211i \(-0.240727\pi\)
\(632\) −24.7489 2.36324i −0.984460 0.0940045i
\(633\) −3.03188 + 4.25768i −0.120506 + 0.169228i
\(634\) 8.52933 6.70754i 0.338743 0.266390i
\(635\) −0.000696576 0 0.000359110i −2.76428e−5 0 1.42508e-5i
\(636\) −42.7177 + 12.5431i −1.69387 + 0.497364i
\(637\) 1.50502 49.2164i 0.0596309 1.95002i
\(638\) −40.1473 + 46.3325i −1.58945 + 1.83432i
\(639\) −0.117958 2.47624i −0.00466635 0.0979586i
\(640\) −1.25138 + 3.61561i −0.0494650 + 0.142920i
\(641\) 5.84220 + 24.0819i 0.230753 + 0.951177i 0.962863 + 0.269991i \(0.0870206\pi\)
−0.732110 + 0.681187i \(0.761464\pi\)
\(642\) 1.89245 + 2.65757i 0.0746890 + 0.104886i
\(643\) −2.34196 −0.0923578 −0.0461789 0.998933i \(-0.514704\pi\)
−0.0461789 + 0.998933i \(0.514704\pi\)
\(644\) 17.6311 41.8402i 0.694761 1.64874i
\(645\) −1.97120 −0.0776158
\(646\) −2.18143 3.06339i −0.0858273 0.120528i
\(647\) 1.96244 + 8.08929i 0.0771515 + 0.318023i 0.997290 0.0735702i \(-0.0234393\pi\)
−0.920139 + 0.391593i \(0.871924\pi\)
\(648\) 1.21919 3.52263i 0.0478944 0.138382i
\(649\) 0.840606 + 17.6465i 0.0329967 + 0.692685i
\(650\) 54.0205 62.3429i 2.11886 2.44529i
\(651\) −21.7199 15.1896i −0.851271 0.595329i
\(652\) 35.8579 10.5288i 1.40431 0.412341i
\(653\) −38.5270 + 19.8620i −1.50768 + 0.777261i −0.996609 0.0822797i \(-0.973780\pi\)
−0.511067 + 0.859541i \(0.670750\pi\)
\(654\) −17.8548 + 14.0412i −0.698179 + 0.549054i
\(655\) 0.170861 0.239940i 0.00667608 0.00937525i
\(656\) −3.33719 0.318663i −0.130296 0.0124417i
\(657\) 1.08611 + 7.55404i 0.0423730 + 0.294711i
\(658\) 0.0448270 + 5.26439i 0.00174754 + 0.205227i
\(659\) 12.5347 3.68051i 0.488281 0.143372i −0.0283192 0.999599i \(-0.509015\pi\)
0.516600 + 0.856227i \(0.327197\pi\)
\(660\) −1.80419 1.41883i −0.0702282 0.0552281i
\(661\) −19.6769 3.79242i −0.765344 0.147508i −0.208384 0.978047i \(-0.566820\pi\)
−0.556960 + 0.830539i \(0.688032\pi\)
\(662\) −23.0258 11.8706i −0.894925 0.461366i
\(663\) −5.78131 + 1.11426i −0.224527 + 0.0432741i
\(664\) −37.3150 10.9567i −1.44810 0.425202i
\(665\) 0.927017 0.141352i 0.0359482 0.00548138i
\(666\) 3.39741 0.131647
\(667\) −27.8193 23.0974i −1.07717 0.894333i
\(668\) −10.4833 18.1575i −0.405609 0.702536i
\(669\) −3.59544 + 0.343323i −0.139008 + 0.0132736i
\(670\) 3.20290 3.05395i 0.123739 0.117985i
\(671\) 18.9968 + 21.9234i 0.733362 + 0.846345i
\(672\) −0.976243 9.37900i −0.0376594 0.361803i
\(673\) −18.4357 + 21.2759i −0.710644 + 0.820127i −0.990149 0.140017i \(-0.955284\pi\)
0.279505 + 0.960144i \(0.409830\pi\)
\(674\) −21.0725 16.5716i −0.811682 0.638313i
\(675\) −3.59355 3.42644i −0.138316 0.131884i
\(676\) 6.21113 130.388i 0.238890 5.01491i
\(677\) 25.3252 + 10.1387i 0.973325 + 0.389660i 0.803165 0.595756i \(-0.203148\pi\)
0.170159 + 0.985417i \(0.445572\pi\)
\(678\) 13.3671 + 29.2699i 0.513361 + 1.12410i
\(679\) −6.75930 12.8415i −0.259398 0.492813i
\(680\) 0.0827288 + 0.575391i 0.00317250 + 0.0220653i
\(681\) −6.29144 + 3.24346i −0.241088 + 0.124290i
\(682\) 58.9541 + 56.2126i 2.25747 + 2.15249i
\(683\) 28.2458 11.3079i 1.08080 0.432686i 0.238192 0.971218i \(-0.423445\pi\)
0.842605 + 0.538533i \(0.181021\pi\)
\(684\) −2.22639 6.43274i −0.0851283 0.245962i
\(685\) −1.40349 + 0.901971i −0.0536247 + 0.0344625i
\(686\) 40.9572 15.3577i 1.56375 0.586360i
\(687\) 7.57199 + 2.22334i 0.288890 + 0.0848256i
\(688\) −10.1110 14.1989i −0.385479 0.541329i
\(689\) 43.7599 + 75.7944i 1.66712 + 2.88754i
\(690\) 1.26928 1.68597i 0.0483208 0.0641838i
\(691\) −3.56499 + 6.17475i −0.135619 + 0.234898i −0.925834 0.377931i \(-0.876636\pi\)
0.790215 + 0.612830i \(0.209969\pi\)
\(692\) 14.9023 32.6315i 0.566500 1.24046i
\(693\) 8.87010 + 2.07205i 0.336947 + 0.0787107i
\(694\) 37.0589 + 42.7682i 1.40674 + 1.62346i
\(695\) 0.0780267 + 1.63798i 0.00295972 + 0.0621322i
\(696\) 27.5966 + 5.31881i 1.04605 + 0.201609i
\(697\) 1.58114 0.632992i 0.0598899 0.0239763i
\(698\) −19.4702 + 80.2574i −0.736959 + 3.03779i
\(699\) 22.5033 + 14.4620i 0.851152 + 0.547002i
\(700\) 44.5515 + 14.9959i 1.68389 + 0.566791i
\(701\) −12.2968 26.9262i −0.464442 1.01699i −0.986452 0.164048i \(-0.947545\pi\)
0.522010 0.852939i \(-0.325182\pi\)
\(702\) −16.5384 1.57923i −0.624202 0.0596041i
\(703\) 2.15099 1.69156i 0.0811262 0.0637983i
\(704\) −1.91876 + 40.2798i −0.0723161 + 1.51810i
\(705\) −0.0370061 + 0.152541i −0.00139373 + 0.00574503i
\(706\) 4.68678 32.5973i 0.176389 1.22681i
\(707\) 37.8291 + 5.11063i 1.42271 + 0.192205i
\(708\) 15.4467 9.92698i 0.580522 0.373079i
\(709\) −6.45632 + 1.24435i −0.242472 + 0.0467327i −0.309039 0.951049i \(-0.600007\pi\)
0.0665671 + 0.997782i \(0.478795\pi\)
\(710\) 0.257184 + 1.06013i 0.00965194 + 0.0397859i
\(711\) 6.63930 0.633976i 0.248993 0.0237760i
\(712\) −20.1037 + 34.8205i −0.753416 + 1.30496i
\(713\) −32.4135 + 35.4614i −1.21390 + 1.32804i
\(714\) −2.86511 4.37582i −0.107224 0.163761i
\(715\) −1.87436 + 4.10428i −0.0700972 + 0.153492i
\(716\) −21.8470 + 20.8311i −0.816461 + 0.778494i
\(717\) 1.60512 4.63769i 0.0599443 0.173198i
\(718\) 8.88812 + 4.58214i 0.331702 + 0.171004i
\(719\) 1.61510 + 4.66654i 0.0602332 + 0.174033i 0.971103 0.238662i \(-0.0767089\pi\)
−0.910869 + 0.412695i \(0.864588\pi\)
\(720\) −0.0436843 + 0.303831i −0.00162802 + 0.0113231i
\(721\) 7.80409 42.4326i 0.290640 1.58027i
\(722\) 30.5607 + 19.6402i 1.13735 + 0.730933i
\(723\) 19.7043 + 7.88840i 0.732810 + 0.293373i
\(724\) −22.1367 + 31.0866i −0.822703 + 1.15532i
\(725\) 21.7148 30.4942i 0.806467 1.13252i
\(726\) −1.87065 0.748896i −0.0694264 0.0277941i
\(727\) 27.6576 + 17.7744i 1.02576 + 0.659218i 0.941426 0.337220i \(-0.109486\pi\)
0.0843368 + 0.996437i \(0.473123\pi\)
\(728\) 65.3631 23.2475i 2.42252 0.861609i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) −1.09838 3.17355i −0.0406527 0.117458i
\(731\) 7.87123 + 4.05790i 0.291128 + 0.150087i
\(732\) 9.86112 28.4918i 0.364478 1.05309i
\(733\) −32.5747 + 31.0599i −1.20317 + 1.14722i −0.217949 + 0.975960i \(0.569937\pi\)
−0.985225 + 0.171264i \(0.945215\pi\)
\(734\) −15.2385 + 33.3677i −0.562463 + 1.23162i
\(735\) 1.29598 0.146061i 0.0478029 0.00538753i
\(736\) −17.0867 0.453330i −0.629825 0.0167100i
\(737\) 17.3125 29.9862i 0.637715 1.10455i
\(738\) 4.78407 0.456823i 0.176104 0.0168159i
\(739\) −9.89708 40.7963i −0.364070 1.50072i −0.799595 0.600540i \(-0.794952\pi\)
0.435525 0.900177i \(-0.356563\pi\)
\(740\) −0.941656 + 0.181489i −0.0346160 + 0.00667168i
\(741\) −11.2572 + 7.23457i −0.413544 + 0.265769i
\(742\) −47.5387 + 61.5213i −1.74520 + 2.25852i
\(743\) −3.35232 + 23.3159i −0.122985 + 0.855376i 0.831161 + 0.556032i \(0.187677\pi\)
−0.954145 + 0.299344i \(0.903232\pi\)
\(744\) 8.80381 36.2898i 0.322763 1.33045i
\(745\) 0.148553 3.11850i 0.00544254 0.114253i
\(746\) −0.456630 + 0.359098i −0.0167184 + 0.0131475i
\(747\) 10.3857 + 0.991716i 0.379994 + 0.0362850i
\(748\) 4.28356 + 9.37969i 0.156623 + 0.342956i
\(749\) 3.46375 + 1.16589i 0.126563 + 0.0426005i
\(750\) 3.68899 + 2.37077i 0.134703 + 0.0865682i
\(751\) 2.76623 11.4026i 0.100941 0.416085i −0.898811 0.438336i \(-0.855568\pi\)
0.999752 + 0.0222508i \(0.00708323\pi\)
\(752\) −1.28860 + 0.515879i −0.0469905 + 0.0188122i
\(753\) −11.2085 2.16026i −0.408460 0.0787242i
\(754\) −5.96002 125.116i −0.217051 4.55646i
\(755\) −0.602571 0.695404i −0.0219298 0.0253083i
\(756\) −2.74448 9.06071i −0.0998158 0.329535i
\(757\) 9.42360 20.6348i 0.342507 0.749985i −0.657487 0.753466i \(-0.728381\pi\)
0.999994 + 0.00348075i \(0.00110796\pi\)
\(758\) 21.0709 36.4959i 0.765330 1.32559i
\(759\) 5.81223 15.4545i 0.210971 0.560961i
\(760\) 0.660594 + 1.14418i 0.0239622 + 0.0415038i
\(761\) 19.6590 + 27.6072i 0.712639 + 1.00076i 0.999089 + 0.0426664i \(0.0135853\pi\)
−0.286450 + 0.958095i \(0.592475\pi\)
\(762\) 0.00953233 + 0.00279895i 0.000345320 + 0.000101395i
\(763\) −6.96055 + 24.4745i −0.251989 + 0.886035i
\(764\) 29.2538 18.8003i 1.05837 0.680171i
\(765\) −0.0510047 0.147368i −0.00184408 0.00532811i
\(766\) −0.250752 + 0.100386i −0.00906005 + 0.00362710i
\(767\) −26.1233 24.9085i −0.943256 0.899393i
\(768\) 22.2887 11.4906i 0.804275 0.414632i
\(769\) 1.66813 + 11.6021i 0.0601544 + 0.418383i 0.997541 + 0.0700912i \(0.0223290\pi\)
−0.937386 + 0.348292i \(0.886762\pi\)
\(770\) −4.00520 0.156623i −0.144337 0.00564430i
\(771\) −5.60384 12.2707i −0.201817 0.441918i
\(772\) −4.53661 1.81618i −0.163276 0.0653659i
\(773\) −2.53154 + 53.1436i −0.0910532 + 1.91144i 0.244875 + 0.969555i \(0.421253\pi\)
−0.335928 + 0.941888i \(0.609050\pi\)
\(774\) 18.0850 + 17.2440i 0.650052 + 0.619824i
\(775\) −39.0989 30.7477i −1.40447 1.10449i
\(776\) 13.3893 15.4520i 0.480647 0.554696i
\(777\) 3.08121 2.23390i 0.110538 0.0801407i
\(778\) 4.92481 + 5.68353i 0.176563 + 0.203765i
\(779\) 2.80147 2.67120i 0.100373 0.0957057i
\(780\) 4.66830 0.445768i 0.167152 0.0159611i
\(781\) 4.26749 + 7.39150i 0.152703 + 0.264489i
\(782\) −8.53914 + 4.11934i −0.305359 + 0.147307i
\(783\) −7.53947 −0.269439
\(784\) 7.69967 + 8.58599i 0.274988 + 0.306643i
\(785\) −1.79860 0.528115i −0.0641946 0.0188492i
\(786\) −3.66658 + 0.706676i −0.130783 + 0.0252063i
\(787\) 3.56503 + 1.83790i 0.127080 + 0.0655142i 0.520594 0.853804i \(-0.325711\pi\)
−0.393514 + 0.919318i \(0.628741\pi\)
\(788\) 49.4718 + 9.53491i 1.76236 + 0.339667i
\(789\) 3.13578 + 2.46601i 0.111637 + 0.0877922i
\(790\) −2.81595 + 0.826838i −0.100187 + 0.0294176i
\(791\) 31.3689 + 17.7564i 1.11535 + 0.631345i
\(792\) 1.82642 + 12.7031i 0.0648991 + 0.451383i
\(793\) −59.0008 5.63389i −2.09518 0.200065i
\(794\) −27.4802 + 38.5906i −0.975236 + 1.36953i
\(795\) −1.82215 + 1.43295i −0.0646250 + 0.0508216i
\(796\) 10.0737 5.19335i 0.357053 0.184074i
\(797\) 39.3374 11.5505i 1.39340 0.409139i 0.502988 0.864293i \(-0.332234\pi\)
0.890413 + 0.455154i \(0.150416\pi\)
\(798\) −9.74159 6.81270i −0.344849 0.241167i
\(799\) 0.461791 0.532935i 0.0163370 0.0188539i
\(800\) −0.842042 17.6766i −0.0297707 0.624964i
\(801\) 3.52784 10.1930i 0.124650 0.360152i
\(802\) −7.20911 29.7164i −0.254563 1.04932i
\(803\) −15.2409 21.4028i −0.537838 0.755288i
\(804\) −35.9872 −1.26917
\(805\) 0.0425739 2.36365i 0.00150053 0.0833076i
\(806\) −166.430 −5.86226
\(807\) 15.3904 + 21.6127i 0.541766 + 0.760804i
\(808\) 12.6797 + 52.2662i 0.446069 + 1.83872i
\(809\) 2.77509 8.01810i 0.0975670 0.281901i −0.885647 0.464360i \(-0.846284\pi\)
0.983214 + 0.182459i \(0.0584056\pi\)
\(810\) −0.0209379 0.439540i −0.000735682 0.0154439i
\(811\) −15.7306 + 18.1540i −0.552375 + 0.637475i −0.961435 0.275033i \(-0.911311\pi\)
0.409060 + 0.912508i \(0.365857\pi\)
\(812\) 64.6729 30.2033i 2.26957 1.05993i
\(813\) 8.36021 2.45478i 0.293206 0.0860929i
\(814\) −10.3965 + 5.35975i −0.364396 + 0.187859i
\(815\) 1.52954 1.20284i 0.0535775 0.0421338i
\(816\) 0.799902 1.12331i 0.0280022 0.0393235i
\(817\) 20.0359 + 1.91319i 0.700966 + 0.0669341i
\(818\) −3.34582 23.2707i −0.116984 0.813640i
\(819\) −16.0376 + 9.44227i −0.560398 + 0.329940i
\(820\) −1.30159 + 0.382182i −0.0454535 + 0.0133464i
\(821\) −15.3167 12.0452i −0.534555 0.420379i 0.314049 0.949407i \(-0.398314\pi\)
−0.848604 + 0.529028i \(0.822557\pi\)
\(822\) 20.7670 + 4.00251i 0.724332 + 0.139604i
\(823\) 29.8285 + 15.3776i 1.03975 + 0.536031i 0.891548 0.452926i \(-0.149620\pi\)
0.148206 + 0.988956i \(0.452650\pi\)
\(824\) 59.6883 11.5040i 2.07934 0.400760i
\(825\) 16.4022 + 4.81613i 0.571053 + 0.167676i
\(826\) 11.6635 29.8686i 0.405825 1.03926i
\(827\) 11.3528 0.394776 0.197388 0.980325i \(-0.436754\pi\)
0.197388 + 0.980325i \(0.436754\pi\)
\(828\) −16.9309 + 2.79966i −0.588390 + 0.0972947i
\(829\) 1.79970 + 3.11717i 0.0625061 + 0.108264i 0.895585 0.444890i \(-0.146757\pi\)
−0.833079 + 0.553154i \(0.813424\pi\)
\(830\) −4.57011 + 0.436393i −0.158631 + 0.0151474i
\(831\) −11.4711 + 10.9376i −0.397927 + 0.379423i
\(832\) −53.9543 62.2666i −1.87053 2.15871i
\(833\) −5.47568 2.08466i −0.189721 0.0722291i
\(834\) 13.6132 15.7105i 0.471386 0.544009i
\(835\) −0.858112 0.674827i −0.0296962 0.0233533i
\(836\) 16.9613 + 16.1726i 0.586620 + 0.559341i
\(837\) −0.476661 + 10.0064i −0.0164758 + 0.345870i
\(838\) −29.9365 11.9848i −1.03414 0.414007i
\(839\) −0.577711 1.26501i −0.0199448 0.0436730i 0.899397 0.437132i \(-0.144006\pi\)
−0.919342 + 0.393459i \(0.871278\pi\)
\(840\) 0.855861 + 1.62599i 0.0295300 + 0.0561021i
\(841\) −3.96256 27.5602i −0.136640 0.950351i
\(842\) 36.9008 19.0237i 1.27169 0.655600i
\(843\) −13.9215 13.2741i −0.479482 0.457186i
\(844\) −17.3634 + 6.95128i −0.597675 + 0.239273i
\(845\) −2.22296 6.42283i −0.0764723 0.220952i
\(846\) 1.67395 1.07578i 0.0575515 0.0369861i
\(847\) −2.18897 + 0.550815i −0.0752139 + 0.0189262i
\(848\) −19.6684 5.77515i −0.675414 0.198319i
\(849\) −16.3978 23.0275i −0.562770 0.790300i
\(850\) −4.90791 8.50074i −0.168340 0.291573i
\(851\) −3.28964 6.06375i −0.112767 0.207863i
\(852\) 4.43537 7.68229i 0.151953 0.263191i
\(853\) −0.0974732 + 0.213437i −0.00333742 + 0.00730793i −0.911293 0.411758i \(-0.864915\pi\)
0.907956 + 0.419066i \(0.137642\pi\)
\(854\) −15.2633 50.3909i −0.522301 1.72434i
\(855\) −0.232102 0.267860i −0.00793772 0.00916061i
\(856\) 0.245008 + 5.14335i 0.00837419 + 0.175796i
\(857\) 1.49887 + 0.288883i 0.0512004 + 0.00986806i 0.214787 0.976661i \(-0.431094\pi\)
−0.163587 + 0.986529i \(0.552306\pi\)
\(858\) 53.1009 21.2584i 1.81283 0.725749i
\(859\) −4.11093 + 16.9455i −0.140263 + 0.578172i 0.857687 + 0.514172i \(0.171901\pi\)
−0.997950 + 0.0639996i \(0.979614\pi\)
\(860\) −5.93378 3.81341i −0.202340 0.130036i
\(861\) 4.03843 3.55998i 0.137629 0.121324i
\(862\) 16.7416 + 36.6590i 0.570222 + 1.24861i
\(863\) −49.0365 4.68242i −1.66922 0.159391i −0.782802 0.622271i \(-0.786210\pi\)
−0.886421 + 0.462880i \(0.846816\pi\)
\(864\) −2.80156 + 2.20317i −0.0953109 + 0.0749533i
\(865\) 0.0888748 1.86571i 0.00302183 0.0634361i
\(866\) −12.1847 + 50.2261i −0.414054 + 1.70675i
\(867\) 2.31965 16.1335i 0.0787794 0.547923i
\(868\) −35.9969 87.7431i −1.22181 2.97819i
\(869\) −19.3169 + 12.4142i −0.655280 + 0.421123i
\(870\) 3.25770 0.627870i 0.110446 0.0212868i
\(871\) 16.6785 + 68.7496i 0.565128 + 2.32949i
\(872\) −35.6876 + 3.40775i −1.20853 + 0.115401i
\(873\) −2.74248 + 4.75011i −0.0928189 + 0.160767i
\(874\) −14.5378 + 15.9048i −0.491747 + 0.537988i
\(875\) 4.90450 0.275504i 0.165802 0.00931375i
\(876\) −11.3443 + 24.8406i −0.383289 + 0.839287i
\(877\) −22.2809 + 21.2448i −0.752373 + 0.717386i −0.965719 0.259590i \(-0.916412\pi\)
0.213346 + 0.976977i \(0.431564\pi\)
\(878\) 5.02837 14.5285i 0.169699 0.490314i
\(879\) −21.6104 11.1409i −0.728901 0.375774i
\(880\) −0.345644 0.998674i −0.0116517 0.0336653i
\(881\) −0.0951378 + 0.661698i −0.00320527 + 0.0222932i −0.991361 0.131159i \(-0.958130\pi\)
0.988156 + 0.153452i \(0.0490392\pi\)
\(882\) −13.1679 9.99716i −0.443385 0.336622i
\(883\) 16.9620 + 10.9008i 0.570818 + 0.366843i 0.793985 0.607938i \(-0.208003\pi\)
−0.223166 + 0.974780i \(0.571639\pi\)
\(884\) −19.5587 7.83014i −0.657832 0.263356i
\(885\) 0.554555 0.778763i 0.0186412 0.0261778i
\(886\) −2.71604 + 3.81415i −0.0912473 + 0.128139i
\(887\) 0.145594 + 0.0582871i 0.00488857 + 0.00195709i 0.374105 0.927386i \(-0.377950\pi\)
−0.369217 + 0.929343i \(0.620374\pi\)
\(888\) 4.51086 + 2.89895i 0.151374 + 0.0972824i
\(889\) 0.0104855 0.00372936i 0.000351674 0.000125079i
\(890\) −0.675478 + 4.69805i −0.0226421 + 0.157479i
\(891\) −1.12604 3.25349i −0.0377238 0.108996i
\(892\) −11.4873 5.92212i −0.384624 0.198287i
\(893\) 0.524194 1.51456i 0.0175415 0.0506828i
\(894\) −28.6436 + 27.3116i −0.957984 + 0.913436i
\(895\) −0.652922 + 1.42970i −0.0218248 + 0.0477896i
\(896\) 24.4844 48.5028i 0.817967 1.62036i
\(897\) 13.1952 + 31.0472i 0.440574 + 1.03663i
\(898\) 33.5155 58.0506i 1.11843 1.93717i
\(899\) −75.1861 + 7.17941i −2.50760 + 0.239447i
\(900\) −4.18878 17.2664i −0.139626 0.575546i
\(901\) 10.2259 1.97089i 0.340676 0.0656598i
\(902\) −13.9191 + 8.94528i −0.463456 + 0.297845i
\(903\) 27.7403 + 3.74765i 0.923139 + 0.124714i
\(904\) −7.22753 + 50.2686i −0.240384 + 1.67191i
\(905\) −0.468463 + 1.93103i −0.0155723 + 0.0641897i
\(906\) −0.555023 + 11.6514i −0.0184394 + 0.387091i
\(907\) −0.764190 + 0.600966i −0.0253745 + 0.0199547i −0.630766 0.775973i \(-0.717259\pi\)
0.605391 + 0.795928i \(0.293017\pi\)
\(908\) −25.2134 2.40759i −0.836737 0.0798987i
\(909\) −5.99359 13.1241i −0.198795 0.435300i
\(910\) 6.14328 5.41545i 0.203648 0.179520i
\(911\) −6.72732 4.32339i −0.222886 0.143240i 0.424433 0.905459i \(-0.360473\pi\)
−0.647319 + 0.762219i \(0.724110\pi\)
\(912\) 0.738911 3.04583i 0.0244678 0.100858i
\(913\) −33.3461 + 13.3497i −1.10359 + 0.441812i
\(914\) −27.3524 5.27174i −0.904737 0.174374i
\(915\) −0.0746958 1.56806i −0.00246937 0.0518384i
\(916\) 18.4923 + 21.3413i 0.611004 + 0.705136i
\(917\) −2.86067 + 3.05180i −0.0944676 + 0.100779i
\(918\) −0.821229 + 1.79824i −0.0271046 + 0.0593508i
\(919\) −7.82656 + 13.5560i −0.258175 + 0.447171i −0.965753 0.259463i \(-0.916454\pi\)
0.707578 + 0.706635i \(0.249788\pi\)
\(920\) 3.12388 1.15546i 0.102991 0.0380944i
\(921\) 4.09939 + 7.10036i 0.135080 + 0.233965i
\(922\) 46.9117 + 65.8783i 1.54496 + 2.16959i
\(923\) −16.7318 4.91289i −0.550733 0.161710i
\(924\) 22.6926 + 23.3972i 0.746532 + 0.769710i
\(925\) 6.00854 3.86145i 0.197560 0.126964i
\(926\) −0.889420 2.56981i −0.0292281 0.0844492i
\(927\) −15.1389 + 6.06071i −0.497227 + 0.199060i
\(928\) −19.4477 18.5433i −0.638401 0.608714i
\(929\) −16.4616 + 8.48653i −0.540087 + 0.278434i −0.706610 0.707604i \(-0.749776\pi\)
0.166523 + 0.986038i \(0.446746\pi\)
\(930\) −0.627348 4.36330i −0.0205716 0.143078i
\(931\) −13.3145 + 0.226766i −0.436365 + 0.00743194i
\(932\) 39.7627 + 87.0681i 1.30247 + 2.85201i
\(933\) −14.2036 5.68625i −0.465003 0.186159i
\(934\) 3.72868 78.2747i 0.122006 2.56123i
\(935\) 0.388569 + 0.370499i 0.0127076 + 0.0121166i
\(936\) −20.6111 16.2087i −0.673695 0.529799i
\(937\) −19.6558 + 22.6840i −0.642126 + 0.741053i −0.979749 0.200228i \(-0.935832\pi\)
0.337623 + 0.941281i \(0.390377\pi\)
\(938\) −50.8800 + 36.8884i −1.66129 + 1.20445i
\(939\) 2.41438 + 2.78634i 0.0787903 + 0.0909288i
\(940\) −0.406498 + 0.387595i −0.0132585 + 0.0126420i
\(941\) 29.2294 2.79107i 0.952850 0.0909862i 0.392962 0.919555i \(-0.371450\pi\)
0.559888 + 0.828568i \(0.310844\pi\)
\(942\) 11.8815 + 20.5794i 0.387120 + 0.670512i
\(943\) −5.44766 8.09635i −0.177400 0.263653i
\(944\) 8.45411 0.275158
\(945\) −0.308000 0.384864i −0.0100192 0.0125196i
\(946\) −82.5464 24.2378i −2.68382 0.788040i
\(947\) −23.4438 + 4.51842i −0.761821 + 0.146829i −0.555342 0.831622i \(-0.687413\pi\)
−0.206479 + 0.978451i \(0.566200\pi\)
\(948\) 21.2124 + 10.9357i 0.688945 + 0.355176i
\(949\) 52.7129 + 10.1596i 1.71113 + 0.329794i
\(950\) −17.5362 13.7906i −0.568950 0.447427i
\(951\) −4.40813 + 1.29434i −0.142943 + 0.0419720i
\(952\) −0.0702895 8.25467i −0.00227810 0.267535i
\(953\) 6.38046 + 44.3771i 0.206684 + 1.43752i 0.783881 + 0.620911i \(0.213237\pi\)
−0.577198 + 0.816605i \(0.695854\pi\)
\(954\) 29.2530 + 2.79333i 0.947102 + 0.0904373i
\(955\) 1.05025 1.47487i 0.0339852 0.0477256i
\(956\) 13.8037 10.8554i 0.446444 0.351088i
\(957\) 23.0717 11.8943i 0.745801 0.384487i
\(958\) −48.6042 + 14.2715i −1.57033 + 0.461091i
\(959\) 21.4660 10.0249i 0.693172 0.323722i
\(960\) 1.42906 1.64923i 0.0461229 0.0532286i
\(961\) 3.30001 + 69.2758i 0.106452 + 2.23470i
\(962\) 7.81628 22.5837i 0.252007 0.728127i
\(963\) −0.325665 1.34241i −0.0104944 0.0432586i
\(964\) 44.0540 + 61.8652i 1.41888 + 1.99254i
\(965\) −0.254435 −0.00819055
\(966\) −21.0678 + 21.3132i −0.677845 + 0.685740i
\(967\) 52.1401 1.67671 0.838357 0.545122i \(-0.183517\pi\)
0.838357 + 0.545122i \(0.183517\pi\)
\(968\) −1.84471 2.59053i −0.0592912 0.0832628i
\(969\) 0.375396 + 1.54740i 0.0120594 + 0.0497097i
\(970\) 0.789409 2.28085i 0.0253464 0.0732336i
\(971\) 0.967118 + 20.3023i 0.0310363 + 0.651532i 0.959771 + 0.280786i \(0.0905950\pi\)
−0.928734 + 0.370746i \(0.879102\pi\)
\(972\) −2.34328 + 2.70428i −0.0751606 + 0.0867400i
\(973\) 2.01609 23.1994i 0.0646327 0.743737i
\(974\) 40.8418 11.9922i 1.30866 0.384256i
\(975\) −31.0442 + 16.0044i −0.994210 + 0.512551i
\(976\) 10.9119 8.58121i 0.349281 0.274678i
\(977\) 6.46351 9.07674i 0.206786 0.290391i −0.698138 0.715963i \(-0.745988\pi\)
0.904924 + 0.425573i \(0.139927\pi\)
\(978\) −24.5555 2.34476i −0.785197 0.0749773i
\(979\) 5.28491 + 36.7573i 0.168906 + 1.17477i
\(980\) 4.18377 + 2.06747i 0.133646 + 0.0660430i
\(981\) 9.22774 2.70951i 0.294619 0.0865080i
\(982\) 17.6930 + 13.9139i 0.564607 + 0.444012i
\(983\) −36.0857 6.95494i −1.15095 0.221828i −0.422134 0.906533i \(-0.638719\pi\)
−0.728820 + 0.684705i \(0.759931\pi\)
\(984\) 6.74177 + 3.47562i 0.214920 + 0.110799i
\(985\) 2.57587 0.496458i 0.0820740 0.0158185i
\(986\) −14.3009 4.19913i −0.455435 0.133728i
\(987\) 0.810793 2.07633i 0.0258078 0.0660903i
\(988\) −47.8827 −1.52335
\(989\) 13.2661 48.9755i 0.421837 1.55733i
\(990\) 0.757491 + 1.31201i 0.0240746 + 0.0416985i
\(991\) 21.7825 2.07997i 0.691943 0.0660725i 0.256841 0.966454i \(-0.417318\pi\)
0.435102 + 0.900381i \(0.356712\pi\)
\(992\) −25.8401 + 24.6385i −0.820425 + 0.782273i
\(993\) 7.18278 + 8.28938i 0.227939 + 0.263055i
\(994\) −1.60378 15.4079i −0.0508690 0.488710i
\(995\) 0.386440 0.445976i 0.0122510 0.0141384i
\(996\) 29.3450 + 23.0771i 0.929831 + 0.731227i
\(997\) −25.9724 24.7647i −0.822555 0.784305i 0.156548 0.987670i \(-0.449963\pi\)
−0.979103 + 0.203366i \(0.934812\pi\)
\(998\) 4.53806 95.2657i 0.143650 3.01558i
\(999\) −1.33542 0.534621i −0.0422508 0.0169147i
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 483.2.y.b.121.2 yes 320
7.4 even 3 inner 483.2.y.b.466.15 yes 320
23.4 even 11 inner 483.2.y.b.142.15 yes 320
161.4 even 33 inner 483.2.y.b.4.2 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.4.2 320 161.4 even 33 inner
483.2.y.b.121.2 yes 320 1.1 even 1 trivial
483.2.y.b.142.15 yes 320 23.4 even 11 inner
483.2.y.b.466.15 yes 320 7.4 even 3 inner