Properties

Label 189.2.ba.a.131.16
Level $189$
Weight $2$
Character 189.131
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(5,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.ba (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 131.16
Character \(\chi\) \(=\) 189.131
Dual form 189.2.ba.a.101.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.905074 + 1.07862i) q^{2} +(-1.67571 - 0.438172i) q^{3} +(0.00302336 - 0.0171463i) q^{4} +(1.61655 + 1.35644i) q^{5} +(-1.04402 - 2.20404i) q^{6} +(1.08812 + 2.41164i) q^{7} +(2.46004 - 1.42030i) q^{8} +(2.61601 + 1.46850i) q^{9} +2.97133i q^{10} +(-2.38051 - 2.83698i) q^{11} +(-0.0125793 + 0.0274075i) q^{12} +(2.27684 + 6.25557i) q^{13} +(-1.61642 + 3.35639i) q^{14} +(-2.11451 - 2.98133i) q^{15} +(3.72576 + 1.35607i) q^{16} -3.23775 q^{17} +(0.783724 + 4.15079i) q^{18} -5.32762i q^{19} +(0.0281454 - 0.0236168i) q^{20} +(-0.766672 - 4.51799i) q^{21} +(0.905502 - 5.13536i) q^{22} +(-0.239559 - 0.658182i) q^{23} +(-4.74464 + 1.30210i) q^{24} +(-0.0949575 - 0.538530i) q^{25} +(-4.68670 + 8.11761i) q^{26} +(-3.74022 - 3.60704i) q^{27} +(0.0446405 - 0.0113661i) q^{28} +(1.50083 - 4.12351i) q^{29} +(1.30195 - 4.97909i) q^{30} +(-1.47986 - 0.260940i) q^{31} +(-0.0336848 - 0.0925482i) q^{32} +(2.74596 + 5.79703i) q^{33} +(-2.93040 - 3.49232i) q^{34} +(-1.51224 + 5.37450i) q^{35} +(0.0330885 - 0.0404152i) q^{36} +(-3.24831 - 5.62624i) q^{37} +(5.74650 - 4.82189i) q^{38} +(-1.07431 - 11.4802i) q^{39} +(5.90332 + 1.04091i) q^{40} +(-10.4849 + 3.81619i) q^{41} +(4.17932 - 4.91606i) q^{42} +(1.29121 + 7.32280i) q^{43} +(-0.0558409 + 0.0322398i) q^{44} +(2.23697 + 5.92237i) q^{45} +(0.493113 - 0.854097i) q^{46} +(-1.04114 - 5.90462i) q^{47} +(-5.64911 - 3.90490i) q^{48} +(-4.63197 + 5.24832i) q^{49} +(0.494929 - 0.589833i) q^{50} +(5.42553 + 1.41869i) q^{51} +(0.114144 - 0.0201266i) q^{52} +(-0.766350 + 0.442452i) q^{53} +(0.505466 - 7.29893i) q^{54} -7.81514i q^{55} +(6.10208 + 4.38724i) q^{56} +(-2.33441 + 8.92755i) q^{57} +(5.80608 - 2.11324i) q^{58} +(5.85868 - 2.13238i) q^{59} +(-0.0575118 + 0.0272424i) q^{60} +(7.32422 - 1.29146i) q^{61} +(-1.05793 - 1.83239i) q^{62} +(-0.694936 + 7.90677i) q^{63} +(4.03421 - 6.98746i) q^{64} +(-4.80471 + 13.2008i) q^{65} +(-3.76753 + 8.20860i) q^{66} +(8.05809 + 6.76154i) q^{67} +(-0.00978888 + 0.0555155i) q^{68} +(0.113034 + 1.20789i) q^{69} +(-7.16576 + 3.23318i) q^{70} +(-3.83248 - 2.21268i) q^{71} +(8.52119 - 0.102968i) q^{72} +(-2.65123 - 1.53069i) q^{73} +(3.12864 - 8.59586i) q^{74} +(-0.0768477 + 0.944029i) q^{75} +(-0.0913491 - 0.0161073i) q^{76} +(4.25147 - 8.82791i) q^{77} +(11.4105 - 11.5492i) q^{78} +(-7.29250 + 6.11913i) q^{79} +(4.18344 + 7.24593i) q^{80} +(4.68703 + 7.68321i) q^{81} +(-13.6058 - 7.85533i) q^{82} +(-11.4377 - 4.16299i) q^{83} +(-0.0797848 - 0.000513902i) q^{84} +(-5.23397 - 4.39182i) q^{85} +(-6.72991 + 8.02040i) q^{86} +(-4.32177 + 6.25218i) q^{87} +(-9.88551 - 3.59803i) q^{88} -4.35832 q^{89} +(-4.36339 + 7.77303i) q^{90} +(-12.6087 + 12.2977i) q^{91} +(-0.0120097 + 0.00211763i) q^{92} +(2.36549 + 1.08569i) q^{93} +(5.42656 - 6.46712i) q^{94} +(7.22662 - 8.61234i) q^{95} +(0.0158939 + 0.169844i) q^{96} +(6.85869 - 1.20937i) q^{97} +(-9.85324 - 0.246039i) q^{98} +(-2.06134 - 10.9174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.905074 + 1.07862i 0.639984 + 0.762703i 0.984368 0.176126i \(-0.0563566\pi\)
−0.344384 + 0.938829i \(0.611912\pi\)
\(3\) −1.67571 0.438172i −0.967472 0.252979i
\(4\) 0.00302336 0.0171463i 0.00151168 0.00857316i
\(5\) 1.61655 + 1.35644i 0.722942 + 0.606620i 0.928197 0.372088i \(-0.121358\pi\)
−0.205256 + 0.978708i \(0.565803\pi\)
\(6\) −1.04402 2.20404i −0.426219 0.899796i
\(7\) 1.08812 + 2.41164i 0.411273 + 0.911512i
\(8\) 2.46004 1.42030i 0.869754 0.502153i
\(9\) 2.61601 + 1.46850i 0.872004 + 0.489499i
\(10\) 2.97133i 0.939616i
\(11\) −2.38051 2.83698i −0.717751 0.855382i 0.276659 0.960968i \(-0.410773\pi\)
−0.994410 + 0.105586i \(0.966328\pi\)
\(12\) −0.0125793 + 0.0274075i −0.00363133 + 0.00791187i
\(13\) 2.27684 + 6.25557i 0.631482 + 1.73498i 0.676963 + 0.736017i \(0.263296\pi\)
−0.0454806 + 0.998965i \(0.514482\pi\)
\(14\) −1.61642 + 3.35639i −0.432005 + 0.897032i
\(15\) −2.11451 2.98133i −0.545964 0.769777i
\(16\) 3.72576 + 1.35607i 0.931441 + 0.339017i
\(17\) −3.23775 −0.785270 −0.392635 0.919694i \(-0.628436\pi\)
−0.392635 + 0.919694i \(0.628436\pi\)
\(18\) 0.783724 + 4.15079i 0.184725 + 0.978351i
\(19\) 5.32762i 1.22224i −0.791538 0.611120i \(-0.790719\pi\)
0.791538 0.611120i \(-0.209281\pi\)
\(20\) 0.0281454 0.0236168i 0.00629351 0.00528088i
\(21\) −0.766672 4.51799i −0.167301 0.985906i
\(22\) 0.905502 5.13536i 0.193054 1.09486i
\(23\) −0.239559 0.658182i −0.0499514 0.137240i 0.912208 0.409727i \(-0.134376\pi\)
−0.962160 + 0.272487i \(0.912154\pi\)
\(24\) −4.74464 + 1.30210i −0.968496 + 0.265789i
\(25\) −0.0949575 0.538530i −0.0189915 0.107706i
\(26\) −4.68670 + 8.11761i −0.919138 + 1.59199i
\(27\) −3.74022 3.60704i −0.719806 0.694175i
\(28\) 0.0446405 0.0113661i 0.00843625 0.00214799i
\(29\) 1.50083 4.12351i 0.278698 0.765716i −0.718813 0.695204i \(-0.755314\pi\)
0.997511 0.0705128i \(-0.0224636\pi\)
\(30\) 1.30195 4.97909i 0.237703 0.909052i
\(31\) −1.47986 0.260940i −0.265791 0.0468662i 0.0391641 0.999233i \(-0.487530\pi\)
−0.304955 + 0.952367i \(0.598642\pi\)
\(32\) −0.0336848 0.0925482i −0.00595468 0.0163604i
\(33\) 2.74596 + 5.79703i 0.478010 + 1.00913i
\(34\) −2.93040 3.49232i −0.502560 0.598927i
\(35\) −1.51224 + 5.37450i −0.255616 + 0.908456i
\(36\) 0.0330885 0.0404152i 0.00551475 0.00673586i
\(37\) −3.24831 5.62624i −0.534019 0.924947i −0.999210 0.0397374i \(-0.987348\pi\)
0.465191 0.885210i \(-0.345985\pi\)
\(38\) 5.74650 4.82189i 0.932206 0.782213i
\(39\) −1.07431 11.4802i −0.172028 1.83830i
\(40\) 5.90332 + 1.04091i 0.933397 + 0.164583i
\(41\) −10.4849 + 3.81619i −1.63746 + 0.595988i −0.986593 0.163200i \(-0.947818\pi\)
−0.650871 + 0.759188i \(0.725596\pi\)
\(42\) 4.17932 4.91606i 0.644883 0.758565i
\(43\) 1.29121 + 7.32280i 0.196907 + 1.11672i 0.909676 + 0.415318i \(0.136330\pi\)
−0.712769 + 0.701399i \(0.752559\pi\)
\(44\) −0.0558409 + 0.0322398i −0.00841834 + 0.00486033i
\(45\) 2.23697 + 5.92237i 0.333468 + 0.882854i
\(46\) 0.493113 0.854097i 0.0727056 0.125930i
\(47\) −1.04114 5.90462i −0.151866 0.861278i −0.961595 0.274473i \(-0.911497\pi\)
0.809728 0.586805i \(-0.199614\pi\)
\(48\) −5.64911 3.90490i −0.815379 0.563624i
\(49\) −4.63197 + 5.24832i −0.661710 + 0.749760i
\(50\) 0.494929 0.589833i 0.0699935 0.0834150i
\(51\) 5.42553 + 1.41869i 0.759726 + 0.198656i
\(52\) 0.114144 0.0201266i 0.0158289 0.00279106i
\(53\) −0.766350 + 0.442452i −0.105266 + 0.0607755i −0.551709 0.834037i \(-0.686024\pi\)
0.446443 + 0.894812i \(0.352691\pi\)
\(54\) 0.505466 7.29893i 0.0687853 0.993259i
\(55\) 7.81514i 1.05379i
\(56\) 6.10208 + 4.38724i 0.815424 + 0.586270i
\(57\) −2.33441 + 8.92755i −0.309201 + 1.18248i
\(58\) 5.80608 2.11324i 0.762376 0.277482i
\(59\) 5.85868 2.13238i 0.762735 0.277613i 0.0687807 0.997632i \(-0.478089\pi\)
0.693954 + 0.720019i \(0.255867\pi\)
\(60\) −0.0575118 + 0.0272424i −0.00742474 + 0.00351698i
\(61\) 7.32422 1.29146i 0.937771 0.165354i 0.316183 0.948698i \(-0.397599\pi\)
0.621588 + 0.783344i \(0.286488\pi\)
\(62\) −1.05793 1.83239i −0.134357 0.232713i
\(63\) −0.694936 + 7.90677i −0.0875537 + 0.996160i
\(64\) 4.03421 6.98746i 0.504277 0.873433i
\(65\) −4.80471 + 13.2008i −0.595951 + 1.63736i
\(66\) −3.76753 + 8.20860i −0.463750 + 1.01041i
\(67\) 8.05809 + 6.76154i 0.984453 + 0.826054i 0.984755 0.173946i \(-0.0556518\pi\)
−0.000302478 1.00000i \(0.500096\pi\)
\(68\) −0.00978888 + 0.0555155i −0.00118708 + 0.00673224i
\(69\) 0.113034 + 1.20789i 0.0136077 + 0.145413i
\(70\) −7.16576 + 3.23318i −0.856472 + 0.386438i
\(71\) −3.83248 2.21268i −0.454832 0.262597i 0.255037 0.966931i \(-0.417912\pi\)
−0.709869 + 0.704334i \(0.751246\pi\)
\(72\) 8.52119 0.102968i 1.00423 0.0121349i
\(73\) −2.65123 1.53069i −0.310303 0.179154i 0.336759 0.941591i \(-0.390669\pi\)
−0.647062 + 0.762437i \(0.724003\pi\)
\(74\) 3.12864 8.59586i 0.363697 0.999249i
\(75\) −0.0768477 + 0.944029i −0.00887361 + 0.109007i
\(76\) −0.0913491 0.0161073i −0.0104785 0.00184763i
\(77\) 4.25147 8.82791i 0.484500 1.00603i
\(78\) 11.4105 11.5492i 1.29198 1.30769i
\(79\) −7.29250 + 6.11913i −0.820470 + 0.688456i −0.953082 0.302712i \(-0.902108\pi\)
0.132612 + 0.991168i \(0.457664\pi\)
\(80\) 4.18344 + 7.24593i 0.467723 + 0.810120i
\(81\) 4.68703 + 7.68321i 0.520781 + 0.853691i
\(82\) −13.6058 7.85533i −1.50251 0.867476i
\(83\) −11.4377 4.16299i −1.25545 0.456947i −0.373212 0.927746i \(-0.621744\pi\)
−0.882241 + 0.470799i \(0.843966\pi\)
\(84\) −0.0797848 0.000513902i −0.00870523 5.60713e-5i
\(85\) −5.23397 4.39182i −0.567704 0.476360i
\(86\) −6.72991 + 8.02040i −0.725705 + 0.864862i
\(87\) −4.32177 + 6.25218i −0.463342 + 0.670304i
\(88\) −9.88551 3.59803i −1.05380 0.383552i
\(89\) −4.35832 −0.461982 −0.230991 0.972956i \(-0.574197\pi\)
−0.230991 + 0.972956i \(0.574197\pi\)
\(90\) −4.36339 + 7.77303i −0.459942 + 0.819349i
\(91\) −12.6087 + 12.2977i −1.32175 + 1.28915i
\(92\) −0.0120097 + 0.00211763i −0.00125210 + 0.000220778i
\(93\) 2.36549 + 1.08569i 0.245289 + 0.112581i
\(94\) 5.42656 6.46712i 0.559707 0.667033i
\(95\) 7.22662 8.61234i 0.741435 0.883608i
\(96\) 0.0158939 + 0.169844i 0.00162217 + 0.0173346i
\(97\) 6.85869 1.20937i 0.696394 0.122793i 0.185765 0.982594i \(-0.440524\pi\)
0.510629 + 0.859801i \(0.329413\pi\)
\(98\) −9.85324 0.246039i −0.995328 0.0248537i
\(99\) −2.06134 10.9174i −0.207172 1.09724i
\(100\) −0.00952091 −0.000952091
\(101\) 3.49388 + 1.27167i 0.347654 + 0.126536i 0.509945 0.860207i \(-0.329666\pi\)
−0.162290 + 0.986743i \(0.551888\pi\)
\(102\) 3.38027 + 7.13613i 0.334697 + 0.706582i
\(103\) 3.98929 4.75425i 0.393076 0.468450i −0.532820 0.846229i \(-0.678868\pi\)
0.925896 + 0.377779i \(0.123312\pi\)
\(104\) 14.4859 + 12.1551i 1.42046 + 1.19191i
\(105\) 4.88904 8.34348i 0.477121 0.814241i
\(106\) −1.17084 0.426152i −0.113722 0.0413915i
\(107\) −2.47461 1.42872i −0.239230 0.138119i 0.375593 0.926785i \(-0.377439\pi\)
−0.614823 + 0.788665i \(0.710772\pi\)
\(108\) −0.0731555 + 0.0532257i −0.00703939 + 0.00512164i
\(109\) 2.81692 + 4.87905i 0.269812 + 0.467328i 0.968813 0.247792i \(-0.0797051\pi\)
−0.699001 + 0.715121i \(0.746372\pi\)
\(110\) 8.42961 7.07328i 0.803731 0.674411i
\(111\) 2.97797 + 10.8513i 0.282656 + 1.02996i
\(112\) 0.783757 + 10.4608i 0.0740581 + 0.988448i
\(113\) 9.04367 + 1.59464i 0.850757 + 0.150011i 0.581992 0.813194i \(-0.302273\pi\)
0.268765 + 0.963206i \(0.413385\pi\)
\(114\) −11.7423 + 5.56213i −1.09977 + 0.520941i
\(115\) 0.505529 1.38893i 0.0471408 0.129518i
\(116\) −0.0661654 0.0382006i −0.00614331 0.00354684i
\(117\) −3.23005 + 19.7082i −0.298618 + 1.82202i
\(118\) 7.60258 + 4.38935i 0.699874 + 0.404073i
\(119\) −3.52308 7.80827i −0.322960 0.715783i
\(120\) −9.43616 4.33094i −0.861399 0.395359i
\(121\) −0.471507 + 2.67405i −0.0428643 + 0.243095i
\(122\) 8.02196 + 6.73122i 0.726274 + 0.609416i
\(123\) 19.2418 1.80064i 1.73497 0.162358i
\(124\) −0.00894832 + 0.0245853i −0.000803582 + 0.00220782i
\(125\) 5.85261 10.1370i 0.523474 0.906683i
\(126\) −9.15741 + 6.40664i −0.815807 + 0.570749i
\(127\) −0.958294 1.65981i −0.0850349 0.147285i 0.820371 0.571831i \(-0.193767\pi\)
−0.905406 + 0.424547i \(0.860433\pi\)
\(128\) 10.9941 1.93856i 0.971752 0.171346i
\(129\) 1.04496 12.8367i 0.0920032 1.13020i
\(130\) −18.5873 + 6.76524i −1.63022 + 0.593351i
\(131\) −8.18242 + 2.97816i −0.714901 + 0.260203i −0.673760 0.738951i \(-0.735322\pi\)
−0.0411416 + 0.999153i \(0.513099\pi\)
\(132\) 0.107700 0.0295566i 0.00937407 0.00257257i
\(133\) 12.8483 5.79712i 1.11409 0.502674i
\(134\) 14.8114i 1.27951i
\(135\) −1.15350 10.9043i −0.0992772 0.938497i
\(136\) −7.96498 + 4.59858i −0.682991 + 0.394325i
\(137\) 6.87107 1.21155i 0.587035 0.103510i 0.127761 0.991805i \(-0.459221\pi\)
0.459274 + 0.888295i \(0.348110\pi\)
\(138\) −1.20056 + 1.21515i −0.102198 + 0.103441i
\(139\) 6.76177 8.05836i 0.573526 0.683501i −0.398825 0.917027i \(-0.630582\pi\)
0.972351 + 0.233526i \(0.0750263\pi\)
\(140\) 0.0875808 + 0.0421784i 0.00740193 + 0.00356473i
\(141\) −0.842583 + 10.3506i −0.0709583 + 0.871681i
\(142\) −1.08202 6.13645i −0.0908012 0.514959i
\(143\) 12.3269 21.3508i 1.03083 1.78544i
\(144\) 7.75526 + 9.01876i 0.646271 + 0.751564i
\(145\) 8.01948 4.63005i 0.665981 0.384504i
\(146\) −0.748521 4.24507i −0.0619480 0.351325i
\(147\) 10.0615 6.76507i 0.829859 0.557973i
\(148\) −0.106290 + 0.0386864i −0.00873699 + 0.00318000i
\(149\) 10.9584 + 1.93227i 0.897750 + 0.158298i 0.603436 0.797411i \(-0.293798\pi\)
0.294314 + 0.955709i \(0.404909\pi\)
\(150\) −1.08781 + 0.771526i −0.0888189 + 0.0629948i
\(151\) −15.4692 + 12.9802i −1.25887 + 1.05632i −0.263066 + 0.964778i \(0.584734\pi\)
−0.995802 + 0.0915375i \(0.970822\pi\)
\(152\) −7.56683 13.1061i −0.613751 1.06305i
\(153\) −8.46999 4.75463i −0.684758 0.384389i
\(154\) 13.3699 3.40417i 1.07738 0.274316i
\(155\) −2.03832 2.42917i −0.163722 0.195116i
\(156\) −0.200091 0.0162882i −0.0160201 0.00130410i
\(157\) 1.67332 + 4.59740i 0.133545 + 0.366912i 0.988383 0.151983i \(-0.0485658\pi\)
−0.854838 + 0.518895i \(0.826344\pi\)
\(158\) −13.2005 2.32760i −1.05017 0.185174i
\(159\) 1.47805 0.405629i 0.117217 0.0321685i
\(160\) 0.0710834 0.195300i 0.00561963 0.0154398i
\(161\) 1.32663 1.29391i 0.104553 0.101975i
\(162\) −4.04520 + 12.0094i −0.317821 + 0.943549i
\(163\) −4.68621 + 8.11676i −0.367053 + 0.635754i −0.989103 0.147223i \(-0.952966\pi\)
0.622051 + 0.782977i \(0.286300\pi\)
\(164\) 0.0337340 + 0.191315i 0.00263418 + 0.0149392i
\(165\) −3.42438 + 13.0959i −0.266587 + 1.01952i
\(166\) −5.86167 16.1048i −0.454954 1.24998i
\(167\) −1.49566 + 8.48231i −0.115738 + 0.656381i 0.870645 + 0.491912i \(0.163702\pi\)
−0.986382 + 0.164468i \(0.947409\pi\)
\(168\) −8.30295 10.0255i −0.640586 0.773484i
\(169\) −23.9896 + 20.1296i −1.84535 + 1.54843i
\(170\) 9.62042i 0.737852i
\(171\) 7.82360 13.9371i 0.598286 1.06580i
\(172\) 0.129463 0.00987145
\(173\) 7.96256 + 2.89813i 0.605382 + 0.220341i 0.626481 0.779436i \(-0.284494\pi\)
−0.0210995 + 0.999777i \(0.506717\pi\)
\(174\) −10.6553 + 0.997119i −0.807775 + 0.0755914i
\(175\) 1.19541 0.814991i 0.0903648 0.0616075i
\(176\) −5.02208 13.7981i −0.378554 1.04007i
\(177\) −10.7518 + 1.00615i −0.808155 + 0.0756270i
\(178\) −3.94460 4.70100i −0.295661 0.352355i
\(179\) 4.83578i 0.361443i −0.983534 0.180722i \(-0.942157\pi\)
0.983534 0.180722i \(-0.0578433\pi\)
\(180\) 0.108310 0.0204503i 0.00807295 0.00152428i
\(181\) −3.95269 + 2.28209i −0.293801 + 0.169626i −0.639655 0.768662i \(-0.720923\pi\)
0.345854 + 0.938288i \(0.387589\pi\)
\(182\) −24.6764 2.46965i −1.82914 0.183062i
\(183\) −12.8392 1.04516i −0.949098 0.0772604i
\(184\) −1.52414 1.27891i −0.112361 0.0942822i
\(185\) 2.38063 13.5012i 0.175027 0.992629i
\(186\) 0.969882 + 3.53410i 0.0711152 + 0.259133i
\(187\) 7.70750 + 9.18544i 0.563628 + 0.671706i
\(188\) −0.104390 −0.00761344
\(189\) 4.62904 12.9450i 0.336713 0.941607i
\(190\) 15.8301 1.14844
\(191\) 6.64760 + 7.92230i 0.481003 + 0.573237i 0.950906 0.309481i \(-0.100155\pi\)
−0.469902 + 0.882718i \(0.655711\pi\)
\(192\) −9.82188 + 9.94128i −0.708833 + 0.717450i
\(193\) 1.80685 10.2471i 0.130060 0.737605i −0.848114 0.529814i \(-0.822262\pi\)
0.978173 0.207791i \(-0.0666273\pi\)
\(194\) 7.51207 + 6.30338i 0.539335 + 0.452556i
\(195\) 13.8355 20.0155i 0.990783 1.43334i
\(196\) 0.0759853 + 0.0952888i 0.00542752 + 0.00680634i
\(197\) 12.2795 7.08959i 0.874880 0.505112i 0.00591309 0.999983i \(-0.498118\pi\)
0.868967 + 0.494870i \(0.164784\pi\)
\(198\) 9.91006 12.1044i 0.704277 0.860223i
\(199\) 20.1176i 1.42610i −0.701113 0.713050i \(-0.747313\pi\)
0.701113 0.713050i \(-0.252687\pi\)
\(200\) −0.998475 1.18994i −0.0706028 0.0841412i
\(201\) −10.5403 14.8612i −0.743456 1.04823i
\(202\) 1.79057 + 4.91954i 0.125984 + 0.346138i
\(203\) 11.5775 0.867427i 0.812581 0.0608815i
\(204\) 0.0407286 0.0887387i 0.00285158 0.00621295i
\(205\) −22.1257 8.05311i −1.54533 0.562454i
\(206\) 8.73865 0.608851
\(207\) 0.339851 2.07360i 0.0236213 0.144125i
\(208\) 26.3943i 1.83012i
\(209\) −15.1144 + 12.6825i −1.04548 + 0.877264i
\(210\) 13.4244 2.27803i 0.926373 0.157199i
\(211\) 0.582787 3.30515i 0.0401207 0.227536i −0.958154 0.286254i \(-0.907590\pi\)
0.998275 + 0.0587176i \(0.0187011\pi\)
\(212\) 0.00526948 + 0.0144778i 0.000361909 + 0.000994338i
\(213\) 5.45259 + 5.38710i 0.373605 + 0.369118i
\(214\) −0.698655 3.96227i −0.0477591 0.270855i
\(215\) −7.84567 + 13.5891i −0.535070 + 0.926768i
\(216\) −14.3242 3.56120i −0.974636 0.242309i
\(217\) −0.980985 3.85283i −0.0665936 0.261547i
\(218\) −2.71314 + 7.45430i −0.183757 + 0.504869i
\(219\) 3.77199 + 3.72669i 0.254888 + 0.251826i
\(220\) −0.134001 0.0236280i −0.00903434 0.00159300i
\(221\) −7.37184 20.2540i −0.495884 1.36243i
\(222\) −9.00916 + 13.0333i −0.604655 + 0.874738i
\(223\) 6.45098 + 7.68798i 0.431990 + 0.514825i 0.937495 0.347998i \(-0.113138\pi\)
−0.505506 + 0.862823i \(0.668694\pi\)
\(224\) 0.186539 0.181939i 0.0124637 0.0121563i
\(225\) 0.542421 1.54825i 0.0361614 0.103216i
\(226\) 6.46517 + 11.1980i 0.430056 + 0.744880i
\(227\) −13.5964 + 11.4088i −0.902427 + 0.757226i −0.970663 0.240443i \(-0.922707\pi\)
0.0682365 + 0.997669i \(0.478263\pi\)
\(228\) 0.146017 + 0.0670178i 0.00967020 + 0.00443836i
\(229\) −12.8653 2.26849i −0.850160 0.149906i −0.268441 0.963296i \(-0.586509\pi\)
−0.581719 + 0.813390i \(0.697620\pi\)
\(230\) 1.95568 0.711808i 0.128953 0.0469352i
\(231\) −10.9924 + 12.9302i −0.723246 + 0.850742i
\(232\) −2.16452 12.2756i −0.142108 0.805934i
\(233\) −16.4302 + 9.48596i −1.07638 + 0.621446i −0.929917 0.367771i \(-0.880121\pi\)
−0.146460 + 0.989217i \(0.546788\pi\)
\(234\) −24.1812 + 14.3533i −1.58077 + 0.938307i
\(235\) 6.32623 10.9573i 0.412678 0.714779i
\(236\) −0.0188497 0.106902i −0.00122701 0.00695871i
\(237\) 14.9013 7.05853i 0.967946 0.458501i
\(238\) 5.23355 10.8671i 0.339241 0.704412i
\(239\) −13.6545 + 16.2728i −0.883236 + 1.05260i 0.115008 + 0.993365i \(0.463311\pi\)
−0.998244 + 0.0592349i \(0.981134\pi\)
\(240\) −3.83527 13.9752i −0.247566 0.902092i
\(241\) −11.6046 + 2.04621i −0.747519 + 0.131808i −0.534415 0.845222i \(-0.679468\pi\)
−0.213103 + 0.977030i \(0.568357\pi\)
\(242\) −3.31104 + 1.91163i −0.212842 + 0.122884i
\(243\) −4.48753 14.9286i −0.287875 0.957668i
\(244\) 0.129488i 0.00828962i
\(245\) −14.6068 + 2.20115i −0.933197 + 0.140626i
\(246\) 19.3574 + 19.1249i 1.23419 + 1.21936i
\(247\) 33.3273 12.1301i 2.12056 0.771822i
\(248\) −4.01113 + 1.45993i −0.254707 + 0.0927058i
\(249\) 17.3422 + 11.9877i 1.09902 + 0.759686i
\(250\) 16.2311 2.86198i 1.02654 0.181007i
\(251\) 13.6923 + 23.7157i 0.864248 + 1.49692i 0.867792 + 0.496927i \(0.165538\pi\)
−0.00354445 + 0.999994i \(0.501128\pi\)
\(252\) 0.133471 + 0.0358206i 0.00840788 + 0.00225649i
\(253\) −1.29698 + 2.24643i −0.0815404 + 0.141232i
\(254\) 0.922990 2.53589i 0.0579135 0.159116i
\(255\) 6.84625 + 9.65280i 0.428729 + 0.604482i
\(256\) −0.320075 0.268575i −0.0200047 0.0167859i
\(257\) −2.77342 + 15.7288i −0.173001 + 0.981138i 0.767425 + 0.641139i \(0.221538\pi\)
−0.940426 + 0.339999i \(0.889573\pi\)
\(258\) 14.7917 10.4910i 0.920891 0.653141i
\(259\) 10.0339 13.9558i 0.623474 0.867170i
\(260\) 0.211819 + 0.122294i 0.0131365 + 0.00758434i
\(261\) 9.98156 8.58317i 0.617843 0.531285i
\(262\) −10.6180 6.13031i −0.655983 0.378732i
\(263\) −9.86756 + 27.1109i −0.608460 + 1.67173i 0.125132 + 0.992140i \(0.460065\pi\)
−0.733592 + 0.679590i \(0.762158\pi\)
\(264\) 14.9887 + 10.3608i 0.922491 + 0.637664i
\(265\) −1.83900 0.324266i −0.112969 0.0199195i
\(266\) 17.8815 + 8.61165i 1.09639 + 0.528014i
\(267\) 7.30329 + 1.90970i 0.446954 + 0.116871i
\(268\) 0.140298 0.117724i 0.00857007 0.00719114i
\(269\) 4.08105 + 7.06859i 0.248826 + 0.430979i 0.963200 0.268784i \(-0.0866219\pi\)
−0.714374 + 0.699764i \(0.753289\pi\)
\(270\) 10.7177 11.1134i 0.652258 0.676342i
\(271\) 10.1461 + 5.85783i 0.616329 + 0.355838i 0.775438 0.631423i \(-0.217529\pi\)
−0.159109 + 0.987261i \(0.550862\pi\)
\(272\) −12.0631 4.39061i −0.731432 0.266220i
\(273\) 26.5170 15.0827i 1.60488 0.912847i
\(274\) 7.52564 + 6.31476i 0.454640 + 0.381488i
\(275\) −1.30175 + 1.55137i −0.0784987 + 0.0935511i
\(276\) 0.0210526 + 0.00171377i 0.00126722 + 0.000103157i
\(277\) 8.94325 + 3.25508i 0.537348 + 0.195579i 0.596416 0.802675i \(-0.296591\pi\)
−0.0590684 + 0.998254i \(0.518813\pi\)
\(278\) 14.8118 0.888356
\(279\) −3.48815 2.85580i −0.208830 0.170972i
\(280\) 3.91324 + 15.3693i 0.233861 + 0.918491i
\(281\) 20.5328 3.62048i 1.22488 0.215980i 0.476457 0.879198i \(-0.341921\pi\)
0.748426 + 0.663218i \(0.230810\pi\)
\(282\) −11.9271 + 8.45926i −0.710246 + 0.503741i
\(283\) 0.946510 1.12801i 0.0562642 0.0670531i −0.737178 0.675698i \(-0.763842\pi\)
0.793443 + 0.608645i \(0.208287\pi\)
\(284\) −0.0495263 + 0.0590232i −0.00293885 + 0.00350238i
\(285\) −15.8834 + 11.2653i −0.940852 + 0.667299i
\(286\) 34.1863 6.02796i 2.02148 0.356441i
\(287\) −20.6121 21.1332i −1.21669 1.24746i
\(288\) 0.0477871 0.291573i 0.00281588 0.0171811i
\(289\) −6.51698 −0.383352
\(290\) 12.2523 + 4.45947i 0.719480 + 0.261869i
\(291\) −12.0231 0.978727i −0.704806 0.0573740i
\(292\) −0.0342613 + 0.0408310i −0.00200499 + 0.00238946i
\(293\) −4.11874 3.45603i −0.240619 0.201904i 0.514501 0.857490i \(-0.327977\pi\)
−0.755120 + 0.655586i \(0.772422\pi\)
\(294\) 16.4034 + 4.72970i 0.956664 + 0.275842i
\(295\) 12.3633 + 4.49987i 0.719818 + 0.261992i
\(296\) −15.9819 9.22716i −0.928930 0.536318i
\(297\) −1.32947 + 19.1975i −0.0771437 + 1.11395i
\(298\) 7.83400 + 13.5689i 0.453811 + 0.786024i
\(299\) 3.57187 2.99715i 0.206566 0.173330i
\(300\) 0.0159543 + 0.00417179i 0.000921121 + 0.000240859i
\(301\) −16.2549 + 11.0820i −0.936918 + 0.638758i
\(302\) −28.0016 4.93743i −1.61131 0.284117i
\(303\) −5.29753 3.66187i −0.304335 0.210369i
\(304\) 7.22461 19.8495i 0.414360 1.13844i
\(305\) 13.5917 + 7.84719i 0.778261 + 0.449329i
\(306\) −2.53750 13.4392i −0.145059 0.768269i
\(307\) 6.76941 + 3.90832i 0.386351 + 0.223060i 0.680578 0.732676i \(-0.261729\pi\)
−0.294227 + 0.955736i \(0.595062\pi\)
\(308\) −0.138513 0.0995871i −0.00789248 0.00567450i
\(309\) −8.76807 + 6.21875i −0.498798 + 0.353772i
\(310\) 0.775338 4.39716i 0.0440362 0.249742i
\(311\) −9.50108 7.97235i −0.538757 0.452071i 0.332356 0.943154i \(-0.392157\pi\)
−0.871113 + 0.491083i \(0.836601\pi\)
\(312\) −18.9482 26.7158i −1.07273 1.51248i
\(313\) 2.42423 6.66051i 0.137026 0.376474i −0.852133 0.523325i \(-0.824691\pi\)
0.989159 + 0.146850i \(0.0469136\pi\)
\(314\) −3.44439 + 5.96587i −0.194378 + 0.336673i
\(315\) −11.8485 + 11.8390i −0.667587 + 0.667054i
\(316\) 0.0828727 + 0.143540i 0.00466196 + 0.00807475i
\(317\) 16.6689 2.93919i 0.936221 0.165081i 0.315334 0.948981i \(-0.397883\pi\)
0.620887 + 0.783900i \(0.286772\pi\)
\(318\) 1.77527 + 1.22714i 0.0995520 + 0.0688145i
\(319\) −15.2711 + 5.55822i −0.855016 + 0.311200i
\(320\) 15.9996 5.82337i 0.894404 0.325537i
\(321\) 3.52071 + 3.47842i 0.196507 + 0.194147i
\(322\) 2.59634 + 0.259845i 0.144688 + 0.0144806i
\(323\) 17.2495i 0.959788i
\(324\) 0.145909 0.0571361i 0.00810608 0.00317423i
\(325\) 3.15261 1.82016i 0.174875 0.100964i
\(326\) −12.9963 + 2.29160i −0.719799 + 0.126920i
\(327\) −2.58248 9.41017i −0.142812 0.520383i
\(328\) −20.3730 + 24.2797i −1.12491 + 1.34062i
\(329\) 13.1069 8.93583i 0.722607 0.492648i
\(330\) −17.2249 + 8.15915i −0.948199 + 0.449146i
\(331\) 2.51122 + 14.2418i 0.138029 + 0.782801i 0.972702 + 0.232056i \(0.0745452\pi\)
−0.834674 + 0.550745i \(0.814344\pi\)
\(332\) −0.105960 + 0.183529i −0.00581532 + 0.0100724i
\(333\) −0.235493 19.4884i −0.0129050 1.06796i
\(334\) −10.5029 + 6.06386i −0.574694 + 0.331799i
\(335\) 3.85463 + 21.8607i 0.210601 + 1.19438i
\(336\) 3.27026 17.8726i 0.178407 0.975031i
\(337\) −14.9144 + 5.42839i −0.812438 + 0.295703i −0.714630 0.699502i \(-0.753405\pi\)
−0.0978073 + 0.995205i \(0.531183\pi\)
\(338\) −43.4246 7.65693i −2.36199 0.416482i
\(339\) −14.4558 6.63484i −0.785134 0.360355i
\(340\) −0.0911278 + 0.0764653i −0.00494210 + 0.00414691i
\(341\) 2.78255 + 4.81952i 0.150683 + 0.260991i
\(342\) 22.1138 4.17538i 1.19578 0.225779i
\(343\) −17.6972 5.45979i −0.955559 0.294801i
\(344\) 13.5770 + 16.1804i 0.732023 + 0.872391i
\(345\) −1.45571 + 2.10594i −0.0783728 + 0.113380i
\(346\) 4.08070 + 11.2116i 0.219380 + 0.602741i
\(347\) −5.06257 0.892668i −0.271773 0.0479209i 0.0361006 0.999348i \(-0.488506\pi\)
−0.307874 + 0.951427i \(0.599617\pi\)
\(348\) 0.0941357 + 0.0930050i 0.00504620 + 0.00498559i
\(349\) 3.81124 10.4713i 0.204011 0.560516i −0.794921 0.606713i \(-0.792488\pi\)
0.998932 + 0.0461967i \(0.0147101\pi\)
\(350\) 1.96101 + 0.551775i 0.104820 + 0.0294936i
\(351\) 14.0482 31.6099i 0.749837 1.68721i
\(352\) −0.182371 + 0.315875i −0.00972038 + 0.0168362i
\(353\) −0.534901 3.03357i −0.0284699 0.161461i 0.967258 0.253794i \(-0.0816786\pi\)
−0.995728 + 0.0923333i \(0.970567\pi\)
\(354\) −10.8164 10.6865i −0.574887 0.567982i
\(355\) −3.19400 8.77545i −0.169520 0.465752i
\(356\) −0.0131768 + 0.0747292i −0.000698368 + 0.00396064i
\(357\) 2.48229 + 14.6281i 0.131377 + 0.774202i
\(358\) 5.21599 4.37674i 0.275674 0.231318i
\(359\) 21.9068i 1.15620i −0.815967 0.578099i \(-0.803795\pi\)
0.815967 0.578099i \(-0.196205\pi\)
\(360\) 13.9146 + 11.3921i 0.733362 + 0.600414i
\(361\) −9.38353 −0.493870
\(362\) −6.03899 2.19801i −0.317402 0.115525i
\(363\) 1.96180 4.27433i 0.102968 0.224344i
\(364\) 0.172741 + 0.253373i 0.00905407 + 0.0132803i
\(365\) −2.20955 6.07068i −0.115653 0.317754i
\(366\) −10.4931 14.7946i −0.548481 0.773325i
\(367\) −4.25108 5.06624i −0.221905 0.264456i 0.643594 0.765367i \(-0.277443\pi\)
−0.865499 + 0.500912i \(0.832998\pi\)
\(368\) 2.77709i 0.144766i
\(369\) −33.0326 5.41385i −1.71961 0.281834i
\(370\) 16.7174 9.65179i 0.869096 0.501773i
\(371\) −1.90092 1.36671i −0.0986908 0.0709562i
\(372\) 0.0257674 0.0372769i 0.00133598 0.00193272i
\(373\) 18.8688 + 15.8328i 0.976988 + 0.819790i 0.983632 0.180188i \(-0.0576705\pi\)
−0.00664425 + 0.999978i \(0.502115\pi\)
\(374\) −2.93179 + 16.6270i −0.151599 + 0.859761i
\(375\) −14.2490 + 14.4223i −0.735817 + 0.744762i
\(376\) −10.9476 13.0468i −0.564579 0.672839i
\(377\) 29.2121 1.50450
\(378\) 18.1524 6.72315i 0.933657 0.345801i
\(379\) 2.06704 0.106176 0.0530882 0.998590i \(-0.483094\pi\)
0.0530882 + 0.998590i \(0.483094\pi\)
\(380\) −0.125821 0.149948i −0.00645450 0.00769217i
\(381\) 0.878540 + 3.20127i 0.0450089 + 0.164006i
\(382\) −2.52862 + 14.3405i −0.129376 + 0.733725i
\(383\) 5.29740 + 4.44505i 0.270685 + 0.227131i 0.768018 0.640428i \(-0.221243\pi\)
−0.497334 + 0.867559i \(0.665687\pi\)
\(384\) −19.2724 1.56885i −0.983490 0.0800600i
\(385\) 18.8473 8.50385i 0.960546 0.433396i
\(386\) 12.6881 7.32550i 0.645810 0.372858i
\(387\) −7.37570 + 21.0527i −0.374928 + 1.07017i
\(388\) 0.121258i 0.00615592i
\(389\) −8.68514 10.3505i −0.440354 0.524794i 0.499526 0.866299i \(-0.333508\pi\)
−0.939880 + 0.341505i \(0.889063\pi\)
\(390\) 34.1113 3.19213i 1.72730 0.161640i
\(391\) 0.775631 + 2.13103i 0.0392254 + 0.107771i
\(392\) −3.94061 + 19.4898i −0.199031 + 0.984386i
\(393\) 15.0163 1.40522i 0.757473 0.0708841i
\(394\) 18.7609 + 6.82840i 0.945159 + 0.344010i
\(395\) −20.0889 −1.01078
\(396\) −0.193425 + 0.00233729i −0.00971995 + 0.000117453i
\(397\) 21.5333i 1.08072i 0.841433 + 0.540362i \(0.181713\pi\)
−0.841433 + 0.540362i \(0.818287\pi\)
\(398\) 21.6994 18.2079i 1.08769 0.912681i
\(399\) −24.0701 + 4.08453i −1.20501 + 0.204482i
\(400\) 0.376494 2.13521i 0.0188247 0.106760i
\(401\) −9.04869 24.8611i −0.451870 1.24150i −0.931407 0.363981i \(-0.881417\pi\)
0.479537 0.877522i \(-0.340805\pi\)
\(402\) 6.48992 24.8195i 0.323688 1.23789i
\(403\) −1.73709 9.85151i −0.0865304 0.490738i
\(404\) 0.0323677 0.0560625i 0.00161035 0.00278921i
\(405\) −2.84505 + 18.7780i −0.141372 + 0.933084i
\(406\) 11.4141 + 11.7027i 0.566473 + 0.580794i
\(407\) −8.22890 + 22.6087i −0.407891 + 1.12067i
\(408\) 15.3620 4.21586i 0.760531 0.208716i
\(409\) −24.6998 4.35525i −1.22133 0.215353i −0.474431 0.880293i \(-0.657346\pi\)
−0.746897 + 0.664939i \(0.768457\pi\)
\(410\) −11.3391 31.1540i −0.560000 1.53859i
\(411\) −12.0448 0.980494i −0.594126 0.0483642i
\(412\) −0.0694568 0.0827754i −0.00342189 0.00407805i
\(413\) 11.5175 + 11.8087i 0.566740 + 0.581068i
\(414\) 2.54423 1.51019i 0.125042 0.0742219i
\(415\) −12.8427 22.2443i −0.630426 1.09193i
\(416\) 0.502247 0.421435i 0.0246247 0.0206625i
\(417\) −14.8617 + 10.5407i −0.727781 + 0.516179i
\(418\) −27.3592 4.82417i −1.33818 0.235958i
\(419\) 22.3814 8.14616i 1.09340 0.397966i 0.268522 0.963273i \(-0.413465\pi\)
0.824880 + 0.565307i \(0.191242\pi\)
\(420\) −0.128279 0.109054i −0.00625936 0.00532131i
\(421\) −1.34235 7.61285i −0.0654222 0.371027i −0.999888 0.0149744i \(-0.995233\pi\)
0.934466 0.356053i \(-0.115878\pi\)
\(422\) 4.09248 2.36280i 0.199219 0.115019i
\(423\) 5.94728 16.9755i 0.289167 0.825376i
\(424\) −1.25683 + 2.17690i −0.0610372 + 0.105719i
\(425\) 0.307448 + 1.74363i 0.0149134 + 0.0845783i
\(426\) −0.875664 + 10.7570i −0.0424261 + 0.521179i
\(427\) 11.0842 + 16.2581i 0.536402 + 0.786784i
\(428\) −0.0319789 + 0.0381110i −0.00154576 + 0.00184216i
\(429\) −30.0116 + 30.3765i −1.44898 + 1.46659i
\(430\) −21.7584 + 3.83660i −1.04928 + 0.185017i
\(431\) 4.73254 2.73233i 0.227959 0.131612i −0.381671 0.924298i \(-0.624651\pi\)
0.609630 + 0.792686i \(0.291318\pi\)
\(432\) −9.04380 18.5110i −0.435120 0.890610i
\(433\) 35.5423i 1.70805i −0.520229 0.854027i \(-0.674154\pi\)
0.520229 0.854027i \(-0.325846\pi\)
\(434\) 3.26789 4.54521i 0.156864 0.218177i
\(435\) −15.4671 + 4.24471i −0.741589 + 0.203518i
\(436\) 0.0921743 0.0335487i 0.00441435 0.00160669i
\(437\) −3.50654 + 1.27628i −0.167741 + 0.0610526i
\(438\) −0.605767 + 7.44149i −0.0289447 + 0.355568i
\(439\) −3.99689 + 0.704759i −0.190761 + 0.0336363i −0.268212 0.963360i \(-0.586433\pi\)
0.0774513 + 0.996996i \(0.475322\pi\)
\(440\) −11.0999 19.2255i −0.529165 0.916541i
\(441\) −19.8244 + 6.92763i −0.944020 + 0.329887i
\(442\) 15.1744 26.2828i 0.721771 1.25014i
\(443\) 2.83479 7.78852i 0.134685 0.370044i −0.853955 0.520347i \(-0.825803\pi\)
0.988640 + 0.150303i \(0.0480250\pi\)
\(444\) 0.195063 0.0182539i 0.00925726 0.000866293i
\(445\) −7.04544 5.91182i −0.333986 0.280247i
\(446\) −2.45383 + 13.9164i −0.116192 + 0.658960i
\(447\) −17.5165 8.03960i −0.828502 0.380260i
\(448\) 21.2409 + 2.12582i 1.00354 + 0.100435i
\(449\) 25.1276 + 14.5074i 1.18585 + 0.684648i 0.957359 0.288899i \(-0.0932893\pi\)
0.228486 + 0.973547i \(0.426623\pi\)
\(450\) 2.16091 0.816208i 0.101866 0.0384764i
\(451\) 35.7858 + 20.6610i 1.68509 + 0.972887i
\(452\) 0.0546845 0.150244i 0.00257214 0.00706691i
\(453\) 31.6095 14.9729i 1.48514 0.703489i
\(454\) −24.6115 4.33968i −1.15508 0.203671i
\(455\) −37.0637 + 2.77695i −1.73757 + 0.130185i
\(456\) 6.93708 + 25.2777i 0.324858 + 1.18373i
\(457\) −5.02502 + 4.21649i −0.235061 + 0.197239i −0.752708 0.658355i \(-0.771253\pi\)
0.517647 + 0.855594i \(0.326808\pi\)
\(458\) −9.19715 15.9299i −0.429755 0.744357i
\(459\) 12.1099 + 11.6787i 0.565242 + 0.545115i
\(460\) −0.0222866 0.0128672i −0.00103912 0.000599936i
\(461\) −20.7893 7.56669i −0.968255 0.352416i −0.190992 0.981592i \(-0.561170\pi\)
−0.777263 + 0.629176i \(0.783393\pi\)
\(462\) −23.8957 0.153915i −1.11173 0.00716076i
\(463\) 12.6417 + 10.6077i 0.587511 + 0.492980i 0.887404 0.460993i \(-0.152507\pi\)
−0.299893 + 0.953973i \(0.596951\pi\)
\(464\) 11.1835 13.3280i 0.519181 0.618736i
\(465\) 2.35124 + 4.96372i 0.109036 + 0.230187i
\(466\) −25.1023 9.13649i −1.16284 0.423240i
\(467\) 1.42626 0.0659994 0.0329997 0.999455i \(-0.489494\pi\)
0.0329997 + 0.999455i \(0.489494\pi\)
\(468\) 0.328157 + 0.114968i 0.0151691 + 0.00531441i
\(469\) −7.53816 + 26.7906i −0.348080 + 1.23707i
\(470\) 17.5446 3.09358i 0.809271 0.142696i
\(471\) −0.789543 8.43711i −0.0363802 0.388762i
\(472\) 11.3839 13.5668i 0.523988 0.624464i
\(473\) 17.7009 21.0951i 0.813889 0.969955i
\(474\) 21.1003 + 9.68447i 0.969169 + 0.444823i
\(475\) −2.86909 + 0.505897i −0.131643 + 0.0232122i
\(476\) −0.144535 + 0.0368006i −0.00662473 + 0.00168675i
\(477\) −2.65452 + 0.0320766i −0.121542 + 0.00146868i
\(478\) −29.9106 −1.36808
\(479\) 22.5859 + 8.22061i 1.03198 + 0.375609i 0.801834 0.597547i \(-0.203858\pi\)
0.230144 + 0.973157i \(0.426080\pi\)
\(480\) −0.204690 + 0.296119i −0.00934278 + 0.0135159i
\(481\) 27.7994 33.1301i 1.26754 1.51060i
\(482\) −12.7101 10.6651i −0.578930 0.485780i
\(483\) −2.79000 + 1.58693i −0.126949 + 0.0722080i
\(484\) 0.0444246 + 0.0161692i 0.00201930 + 0.000734965i
\(485\) 12.7278 + 7.34842i 0.577941 + 0.333674i
\(486\) 12.0408 18.3518i 0.546181 0.832455i
\(487\) 17.7620 + 30.7647i 0.804874 + 1.39408i 0.916376 + 0.400319i \(0.131101\pi\)
−0.111501 + 0.993764i \(0.535566\pi\)
\(488\) 16.1836 13.5796i 0.732597 0.614722i
\(489\) 11.4093 11.5480i 0.515945 0.522217i
\(490\) −15.5945 13.7631i −0.704487 0.621753i
\(491\) −30.5498 5.38675i −1.37869 0.243101i −0.565334 0.824862i \(-0.691253\pi\)
−0.813360 + 0.581761i \(0.802364\pi\)
\(492\) 0.0273004 0.335370i 0.00123080 0.0151196i
\(493\) −4.85933 + 13.3509i −0.218853 + 0.601294i
\(494\) 43.2475 + 24.9690i 1.94580 + 1.12341i
\(495\) 11.4765 20.4445i 0.515831 0.918912i
\(496\) −5.15977 2.97899i −0.231681 0.133761i
\(497\) 1.16597 11.6502i 0.0523008 0.522584i
\(498\) 2.76579 + 29.5554i 0.123938 + 1.32441i
\(499\) 6.32386 35.8644i 0.283095 1.60551i −0.428917 0.903344i \(-0.641105\pi\)
0.712012 0.702167i \(-0.247784\pi\)
\(500\) −0.156118 0.130999i −0.00698181 0.00585844i
\(501\) 6.22300 13.5585i 0.278023 0.605751i
\(502\) −13.1878 + 36.2332i −0.588601 + 1.61717i
\(503\) −9.30116 + 16.1101i −0.414718 + 0.718313i −0.995399 0.0958185i \(-0.969453\pi\)
0.580681 + 0.814131i \(0.302787\pi\)
\(504\) 9.52044 + 20.4380i 0.424074 + 0.910379i
\(505\) 3.92308 + 6.79497i 0.174575 + 0.302372i
\(506\) −3.59692 + 0.634234i −0.159903 + 0.0281951i
\(507\) 49.0198 23.2199i 2.17705 1.03123i
\(508\) −0.0313570 + 0.0114130i −0.00139124 + 0.000506370i
\(509\) 4.20101 1.52904i 0.186207 0.0677737i −0.247234 0.968956i \(-0.579522\pi\)
0.433441 + 0.901182i \(0.357299\pi\)
\(510\) −4.21540 + 16.1210i −0.186661 + 0.713851i
\(511\) 0.806593 8.05939i 0.0356816 0.356526i
\(512\) 22.9158i 1.01274i
\(513\) −19.2169 + 19.9265i −0.848449 + 0.879776i
\(514\) −19.4757 + 11.2443i −0.859034 + 0.495964i
\(515\) 12.8977 2.27422i 0.568343 0.100214i
\(516\) −0.216942 0.0567270i −0.00955035 0.00249726i
\(517\) −14.2729 + 17.0097i −0.627719 + 0.748087i
\(518\) 24.1344 1.80824i 1.06041 0.0794494i
\(519\) −12.0731 8.34540i −0.529948 0.366322i
\(520\) 6.92941 + 39.2986i 0.303875 + 1.72336i
\(521\) −17.3340 + 30.0233i −0.759415 + 1.31535i 0.183735 + 0.982976i \(0.441181\pi\)
−0.943149 + 0.332369i \(0.892152\pi\)
\(522\) 18.2921 + 2.99796i 0.800622 + 0.131217i
\(523\) −22.2749 + 12.8604i −0.974015 + 0.562348i −0.900458 0.434943i \(-0.856768\pi\)
−0.0735572 + 0.997291i \(0.523435\pi\)
\(524\) 0.0263260 + 0.149302i 0.00115006 + 0.00652231i
\(525\) −2.36027 + 0.841893i −0.103011 + 0.0367432i
\(526\) −38.1734 + 13.8940i −1.66444 + 0.605806i
\(527\) 4.79143 + 0.844858i 0.208718 + 0.0368026i
\(528\) 2.36964 + 25.3221i 0.103125 + 1.10200i
\(529\) 17.2432 14.4688i 0.749705 0.629077i
\(530\) −1.31467 2.27708i −0.0571057 0.0989099i
\(531\) 18.4578 + 3.02512i 0.800999 + 0.131279i
\(532\) −0.0605542 0.237827i −0.00262536 0.0103111i
\(533\) −47.7448 56.9001i −2.06806 2.46462i
\(534\) 4.55017 + 9.60592i 0.196905 + 0.415689i
\(535\) −2.06235 5.66626i −0.0891632 0.244974i
\(536\) 29.4266 + 5.18871i 1.27104 + 0.224118i
\(537\) −2.11890 + 8.10337i −0.0914374 + 0.349686i
\(538\) −3.93070 + 10.7995i −0.169465 + 0.465600i
\(539\) 25.9158 + 0.647128i 1.11627 + 0.0278738i
\(540\) −0.190457 0.0131895i −0.00819596 0.000567587i
\(541\) 13.1658 22.8039i 0.566044 0.980416i −0.430908 0.902396i \(-0.641807\pi\)
0.996952 0.0780204i \(-0.0248599\pi\)
\(542\) 2.86453 + 16.2455i 0.123042 + 0.697806i
\(543\) 7.62351 2.09216i 0.327156 0.0897831i
\(544\) 0.109063 + 0.299648i 0.00467603 + 0.0128473i
\(545\) −2.06447 + 11.7082i −0.0884323 + 0.501524i
\(546\) 40.2684 + 14.9509i 1.72333 + 0.639841i
\(547\) 13.7395 11.5288i 0.587459 0.492937i −0.299928 0.953962i \(-0.596963\pi\)
0.887387 + 0.461025i \(0.152518\pi\)
\(548\) 0.121477i 0.00518922i
\(549\) 21.0568 + 7.37714i 0.898680 + 0.314849i
\(550\) −2.85153 −0.121590
\(551\) −21.9685 7.99587i −0.935889 0.340636i
\(552\) 1.99364 + 2.81091i 0.0848549 + 0.119640i
\(553\) −22.6923 10.9285i −0.964973 0.464726i
\(554\) 4.58329 + 12.5925i 0.194725 + 0.535004i
\(555\) −9.90510 + 21.5810i −0.420448 + 0.916063i
\(556\) −0.117728 0.140303i −0.00499278 0.00595016i
\(557\) 1.14693i 0.0485968i 0.999705 + 0.0242984i \(0.00773518\pi\)
−0.999705 + 0.0242984i \(0.992265\pi\)
\(558\) −0.0766969 6.34711i −0.00324684 0.268695i
\(559\) −42.8684 + 24.7501i −1.81314 + 1.04682i
\(560\) −12.9224 + 17.9734i −0.546073 + 0.759516i
\(561\) −8.89073 18.7693i −0.375367 0.792442i
\(562\) 22.4888 + 18.8704i 0.948634 + 0.795998i
\(563\) −1.56861 + 8.89601i −0.0661089 + 0.374922i 0.933747 + 0.357934i \(0.116519\pi\)
−0.999856 + 0.0169880i \(0.994592\pi\)
\(564\) 0.174928 + 0.0457409i 0.00736579 + 0.00192604i
\(565\) 12.4565 + 14.8450i 0.524048 + 0.624536i
\(566\) 2.07336 0.0871497
\(567\) −13.4290 + 19.6637i −0.563967 + 0.825797i
\(568\) −12.5707 −0.527455
\(569\) 27.5657 + 32.8516i 1.15562 + 1.37721i 0.913438 + 0.406978i \(0.133417\pi\)
0.242178 + 0.970232i \(0.422138\pi\)
\(570\) −26.5267 6.93631i −1.11108 0.290530i
\(571\) −5.74972 + 32.6083i −0.240618 + 1.36461i 0.589834 + 0.807524i \(0.299193\pi\)
−0.830453 + 0.557089i \(0.811918\pi\)
\(572\) −0.328819 0.275912i −0.0137486 0.0115365i
\(573\) −7.66812 16.1883i −0.320340 0.676275i
\(574\) 4.13934 41.3599i 0.172773 1.72633i
\(575\) −0.331703 + 0.191509i −0.0138330 + 0.00798648i
\(576\) 20.8146 12.3550i 0.867276 0.514793i
\(577\) 41.8339i 1.74157i −0.491665 0.870784i \(-0.663612\pi\)
0.491665 0.870784i \(-0.336388\pi\)
\(578\) −5.89835 7.02938i −0.245339 0.292383i
\(579\) −7.51776 + 16.3795i −0.312427 + 0.680710i
\(580\) −0.0551425 0.151503i −0.00228967 0.00629081i
\(581\) −2.40606 32.1135i −0.0998200 1.33229i
\(582\) −9.82610 13.8542i −0.407305 0.574276i
\(583\) 3.07953 + 1.12086i 0.127541 + 0.0464212i
\(584\) −8.69617 −0.359850
\(585\) −31.9546 + 27.4778i −1.32116 + 1.13607i
\(586\) 7.57054i 0.312736i
\(587\) 10.1800 8.54200i 0.420172 0.352566i −0.408057 0.912957i \(-0.633793\pi\)
0.828228 + 0.560391i \(0.189349\pi\)
\(588\) −0.0855765 0.192971i −0.00352911 0.00795799i
\(589\) −1.39019 + 7.88415i −0.0572817 + 0.324861i
\(590\) 6.33602 + 17.4081i 0.260850 + 0.716678i
\(591\) −23.6834 + 6.49955i −0.974204 + 0.267356i
\(592\) −4.47288 25.3670i −0.183834 1.04258i
\(593\) 6.07625 10.5244i 0.249522 0.432184i −0.713872 0.700277i \(-0.753060\pi\)
0.963393 + 0.268093i \(0.0863933\pi\)
\(594\) −21.9102 + 15.9412i −0.898987 + 0.654075i
\(595\) 4.89626 17.4013i 0.200727 0.713383i
\(596\) 0.0662626 0.182055i 0.00271422 0.00745726i
\(597\) −8.81497 + 33.7113i −0.360773 + 1.37971i
\(598\) 6.46560 + 1.14006i 0.264398 + 0.0466205i
\(599\) 10.4793 + 28.7916i 0.428172 + 1.17639i 0.946921 + 0.321466i \(0.104176\pi\)
−0.518749 + 0.854927i \(0.673602\pi\)
\(600\) 1.15176 + 2.43149i 0.0470203 + 0.0992652i
\(601\) 0.739101 + 0.880827i 0.0301486 + 0.0359297i 0.780908 0.624646i \(-0.214757\pi\)
−0.750759 + 0.660576i \(0.770312\pi\)
\(602\) −26.6653 7.50290i −1.08679 0.305795i
\(603\) 11.1507 + 29.5216i 0.454093 + 1.20221i
\(604\) 0.175794 + 0.304484i 0.00715296 + 0.0123893i
\(605\) −4.38941 + 3.68315i −0.178455 + 0.149741i
\(606\) −0.844867 9.02830i −0.0343204 0.366750i
\(607\) 2.97007 + 0.523704i 0.120552 + 0.0212565i 0.233598 0.972333i \(-0.424950\pi\)
−0.113047 + 0.993590i \(0.536061\pi\)
\(608\) −0.493061 + 0.179460i −0.0199963 + 0.00727805i
\(609\) −19.7806 3.61937i −0.801551 0.146664i
\(610\) 3.83735 + 21.7627i 0.155370 + 0.881145i
\(611\) 34.5662 19.9568i 1.39840 0.807367i
\(612\) −0.107132 + 0.130854i −0.00433056 + 0.00528947i
\(613\) 20.0456 34.7199i 0.809633 1.40232i −0.103486 0.994631i \(-0.533000\pi\)
0.913119 0.407694i \(-0.133667\pi\)
\(614\) 1.91120 + 10.8390i 0.0771299 + 0.437425i
\(615\) 33.5477 + 23.1896i 1.35277 + 0.935093i
\(616\) −2.07953 27.7554i −0.0837867 1.11830i
\(617\) 6.57249 7.83278i 0.264598 0.315336i −0.617344 0.786693i \(-0.711791\pi\)
0.881942 + 0.471357i \(0.156236\pi\)
\(618\) −14.6435 3.82903i −0.589046 0.154026i
\(619\) 38.3209 6.75702i 1.54025 0.271587i 0.661894 0.749597i \(-0.269753\pi\)
0.878354 + 0.478010i \(0.158642\pi\)
\(620\) −0.0478139 + 0.0276054i −0.00192025 + 0.00110866i
\(621\) −1.47809 + 3.32585i −0.0593136 + 0.133462i
\(622\) 17.4637i 0.700229i
\(623\) −4.74240 10.5107i −0.190000 0.421102i
\(624\) 11.5652 44.2292i 0.462980 1.77059i
\(625\) 20.6420 7.51308i 0.825681 0.300523i
\(626\) 9.37830 3.41342i 0.374832 0.136428i
\(627\) 30.8844 14.6294i 1.23340 0.584243i
\(628\) 0.0838875 0.0147916i 0.00334748 0.000590250i
\(629\) 10.5172 + 18.2163i 0.419349 + 0.726333i
\(630\) −23.4936 2.06488i −0.936008 0.0822668i
\(631\) 5.94429 10.2958i 0.236639 0.409870i −0.723109 0.690734i \(-0.757288\pi\)
0.959748 + 0.280864i \(0.0906210\pi\)
\(632\) −9.24879 + 25.4108i −0.367897 + 1.01079i
\(633\) −2.42481 + 5.28311i −0.0963774 + 0.209985i
\(634\) 18.2569 + 15.3194i 0.725074 + 0.608409i
\(635\) 0.702317 3.98304i 0.0278706 0.158062i
\(636\) −0.00248637 0.0265695i −9.85909e−5 0.00105355i
\(637\) −43.3775 17.0260i −1.71868 0.674595i
\(638\) −19.8167 11.4412i −0.784550 0.452960i
\(639\) −6.77649 11.4164i −0.268074 0.451626i
\(640\) 20.4021 + 11.7791i 0.806462 + 0.465611i
\(641\) −17.0872 + 46.9468i −0.674906 + 1.85429i −0.184396 + 0.982852i \(0.559033\pi\)
−0.490509 + 0.871436i \(0.663189\pi\)
\(642\) −0.565412 + 6.94575i −0.0223150 + 0.274127i
\(643\) −7.32572 1.29172i −0.288898 0.0509406i 0.0273209 0.999627i \(-0.491302\pi\)
−0.316219 + 0.948686i \(0.602414\pi\)
\(644\) −0.0181750 0.0266587i −0.000716194 0.00105050i
\(645\) 19.1014 19.3336i 0.752118 0.761261i
\(646\) −18.6057 + 15.6121i −0.732033 + 0.614248i
\(647\) −9.06934 15.7086i −0.356553 0.617567i 0.630830 0.775921i \(-0.282715\pi\)
−0.987382 + 0.158354i \(0.949381\pi\)
\(648\) 22.4427 + 12.2440i 0.881634 + 0.480989i
\(649\) −19.9962 11.5448i −0.784919 0.453173i
\(650\) 4.81662 + 1.75310i 0.188923 + 0.0687624i
\(651\) −0.0443538 + 6.88606i −0.00173836 + 0.269886i
\(652\) 0.125004 + 0.104891i 0.00489555 + 0.00410786i
\(653\) −14.2828 + 17.0215i −0.558928 + 0.666104i −0.969319 0.245805i \(-0.920948\pi\)
0.410392 + 0.911909i \(0.365392\pi\)
\(654\) 7.81270 11.3024i 0.305501 0.441960i
\(655\) −17.2670 6.28466i −0.674676 0.245562i
\(656\) −44.2392 −1.72725
\(657\) −4.68784 7.89763i −0.182890 0.308116i
\(658\) 21.5011 + 6.04984i 0.838200 + 0.235847i
\(659\) 21.2896 3.75393i 0.829324 0.146232i 0.257157 0.966370i \(-0.417214\pi\)
0.572167 + 0.820137i \(0.306103\pi\)
\(660\) 0.214194 + 0.0983091i 0.00833748 + 0.00382668i
\(661\) 3.08248 3.67356i 0.119895 0.142885i −0.702758 0.711428i \(-0.748049\pi\)
0.822653 + 0.568544i \(0.192493\pi\)
\(662\) −13.0887 + 15.5986i −0.508708 + 0.606255i
\(663\) 3.47835 + 37.1699i 0.135088 + 1.44356i
\(664\) −34.0499 + 6.00391i −1.32139 + 0.232997i
\(665\) 28.6333 + 8.05665i 1.11035 + 0.312424i
\(666\) 20.8076 17.8925i 0.806277 0.693319i
\(667\) −3.07356 −0.119009
\(668\) 0.140918 + 0.0512901i 0.00545230 + 0.00198447i
\(669\) −7.44132 15.7095i −0.287698 0.607363i
\(670\) −20.0908 + 23.9432i −0.776174 + 0.925008i
\(671\) −21.0992 17.7044i −0.814527 0.683469i
\(672\) −0.392306 + 0.223141i −0.0151335 + 0.00860787i
\(673\) −41.8330 15.2260i −1.61255 0.586918i −0.630604 0.776105i \(-0.717193\pi\)
−0.981941 + 0.189186i \(0.939415\pi\)
\(674\) −19.3538 11.1739i −0.745480 0.430403i
\(675\) −1.58734 + 2.35674i −0.0610967 + 0.0907109i
\(676\) 0.272620 + 0.472192i 0.0104854 + 0.0181612i
\(677\) 30.7338 25.7887i 1.18120 0.991142i 0.181227 0.983441i \(-0.441993\pi\)
0.999970 0.00770076i \(-0.00245125\pi\)
\(678\) −5.92710 21.5975i −0.227629 0.829445i
\(679\) 10.3797 + 15.2247i 0.398335 + 0.584270i
\(680\) −19.1135 3.37022i −0.732968 0.129242i
\(681\) 27.7827 13.1602i 1.06463 0.504300i
\(682\) −2.68004 + 7.36334i −0.102624 + 0.281957i
\(683\) −28.5877 16.5051i −1.09388 0.631550i −0.159271 0.987235i \(-0.550914\pi\)
−0.934606 + 0.355685i \(0.884248\pi\)
\(684\) −0.215317 0.176283i −0.00823284 0.00674034i
\(685\) 12.7508 + 7.36168i 0.487183 + 0.281275i
\(686\) −10.1282 24.0301i −0.386696 0.917475i
\(687\) 20.5645 + 9.43853i 0.784583 + 0.360102i
\(688\) −5.11947 + 29.0340i −0.195178 + 1.10691i
\(689\) −4.51265 3.78656i −0.171918 0.144257i
\(690\) −3.58904 + 0.335862i −0.136632 + 0.0127860i
\(691\) 1.00124 2.75087i 0.0380888 0.104648i −0.919190 0.393814i \(-0.871156\pi\)
0.957279 + 0.289165i \(0.0933778\pi\)
\(692\) 0.0737660 0.127766i 0.00280416 0.00485695i
\(693\) 24.0857 16.8506i 0.914939 0.640103i
\(694\) −3.61915 6.26854i −0.137381 0.237951i
\(695\) 21.8614 3.85476i 0.829251 0.146219i
\(696\) −1.75172 + 21.5188i −0.0663987 + 0.815668i
\(697\) 33.9474 12.3559i 1.28585 0.468011i
\(698\) 14.7441 5.36640i 0.558071 0.203121i
\(699\) 31.6887 8.69649i 1.19858 0.328931i
\(700\) −0.0103599 0.0229609i −0.000391569 0.000867842i
\(701\) 6.39386i 0.241493i 0.992683 + 0.120746i \(0.0385288\pi\)
−0.992683 + 0.120746i \(0.961471\pi\)
\(702\) 46.8098 13.4565i 1.76672 0.507884i
\(703\) −29.9744 + 17.3058i −1.13051 + 0.652699i
\(704\) −29.4268 + 5.18874i −1.10906 + 0.195558i
\(705\) −15.4021 + 15.5894i −0.580078 + 0.587130i
\(706\) 2.78796 3.32257i 0.104926 0.125046i
\(707\) 0.734978 + 9.80970i 0.0276417 + 0.368932i
\(708\) −0.0152548 + 0.187396i −0.000573309 + 0.00704276i
\(709\) −6.22575 35.3080i −0.233813 1.32602i −0.845099 0.534609i \(-0.820459\pi\)
0.611287 0.791409i \(-0.290652\pi\)
\(710\) 6.57461 11.3876i 0.246741 0.427367i
\(711\) −28.0632 + 5.29870i −1.05245 + 0.198717i
\(712\) −10.7216 + 6.19014i −0.401810 + 0.231985i
\(713\) 0.182768 + 1.03653i 0.00684472 + 0.0388184i
\(714\) −13.5316 + 15.9170i −0.506407 + 0.595678i
\(715\) 48.8882 17.7938i 1.82831 0.665452i
\(716\) −0.0829158 0.0146203i −0.00309871 0.000546386i
\(717\) 30.0113 21.2855i 1.12079 0.794921i
\(718\) 23.6292 19.8273i 0.881836 0.739948i
\(719\) −17.8398 30.8994i −0.665311 1.15235i −0.979201 0.202893i \(-0.934966\pi\)
0.313890 0.949459i \(-0.398368\pi\)
\(720\) 0.303288 + 25.0988i 0.0113029 + 0.935378i
\(721\) 15.8064 + 4.44749i 0.588660 + 0.165633i
\(722\) −8.49278 10.1213i −0.316069 0.376676i
\(723\) 20.3426 + 1.65597i 0.756548 + 0.0615860i
\(724\) 0.0271790 + 0.0746736i 0.00101010 + 0.00277522i
\(725\) −2.36315 0.416687i −0.0877652 0.0154754i
\(726\) 6.38597 1.75254i 0.237006 0.0650427i
\(727\) −0.773622 + 2.12551i −0.0286921 + 0.0788308i −0.953212 0.302304i \(-0.902244\pi\)
0.924520 + 0.381135i \(0.124467\pi\)
\(728\) −13.5512 + 48.1610i −0.502242 + 1.78497i
\(729\) 0.978522 + 26.9823i 0.0362415 + 0.999343i
\(730\) 4.54818 7.87768i 0.168336 0.291566i
\(731\) −4.18060 23.7094i −0.154625 0.876923i
\(732\) −0.0567380 + 0.216984i −0.00209710 + 0.00801998i
\(733\) 5.51496 + 15.1522i 0.203700 + 0.559661i 0.998910 0.0466729i \(-0.0148618\pi\)
−0.795210 + 0.606334i \(0.792640\pi\)
\(734\) 1.61703 9.17065i 0.0596858 0.338495i
\(735\) 25.4413 + 2.71182i 0.938417 + 0.100027i
\(736\) −0.0528441 + 0.0443414i −0.00194786 + 0.00163445i
\(737\) 38.9566i 1.43498i
\(738\) −24.0574 40.5297i −0.885567 1.49192i
\(739\) 24.5989 0.904884 0.452442 0.891794i \(-0.350553\pi\)
0.452442 + 0.891794i \(0.350553\pi\)
\(740\) −0.224299 0.0816381i −0.00824538 0.00300107i
\(741\) −61.1620 + 5.72352i −2.24684 + 0.210259i
\(742\) −0.246300 3.28735i −0.00904197 0.120683i
\(743\) 8.41237 + 23.1128i 0.308620 + 0.847926i 0.992926 + 0.118732i \(0.0378828\pi\)
−0.684307 + 0.729194i \(0.739895\pi\)
\(744\) 7.36119 0.688859i 0.269874 0.0252548i
\(745\) 15.0938 + 17.9881i 0.552994 + 0.659033i
\(746\) 34.6822i 1.26980i
\(747\) −23.8079 27.6867i −0.871084 1.01300i
\(748\) 0.180799 0.104384i 0.00661066 0.00381667i
\(749\) 0.752859 7.52248i 0.0275089 0.274866i
\(750\) −28.4526 2.31616i −1.03894 0.0845741i
\(751\) −28.0407 23.5290i −1.02322 0.858584i −0.0331922 0.999449i \(-0.510567\pi\)
−0.990029 + 0.140865i \(0.955012\pi\)
\(752\) 4.12801 23.4111i 0.150533 0.853715i
\(753\) −12.5527 45.7402i −0.457446 1.66687i
\(754\) 26.4391 + 31.5088i 0.962854 + 1.14748i
\(755\) −42.6137 −1.55087
\(756\) −0.207963 0.118508i −0.00756355 0.00431010i
\(757\) −38.6682 −1.40542 −0.702709 0.711477i \(-0.748027\pi\)
−0.702709 + 0.711477i \(0.748027\pi\)
\(758\) 1.87082 + 2.22956i 0.0679512 + 0.0809811i
\(759\) 3.15769 3.19607i 0.114617 0.116010i
\(760\) 5.54560 31.4506i 0.201160 1.14083i
\(761\) 36.9741 + 31.0250i 1.34031 + 1.12465i 0.981546 + 0.191226i \(0.0612464\pi\)
0.358765 + 0.933428i \(0.383198\pi\)
\(762\) −2.65782 + 3.84499i −0.0962827 + 0.139289i
\(763\) −8.70132 + 12.1024i −0.315009 + 0.438136i
\(764\) 0.155936 0.0900299i 0.00564158 0.00325717i
\(765\) −7.24274 19.1751i −0.261862 0.693279i
\(766\) 9.73700i 0.351812i
\(767\) 26.6786 + 31.7943i 0.963307 + 1.14802i
\(768\) 0.418671 + 0.590301i 0.0151075 + 0.0213007i
\(769\) −16.2750 44.7151i −0.586891 1.61247i −0.776155 0.630543i \(-0.782832\pi\)
0.189264 0.981926i \(-0.439390\pi\)
\(770\) 26.2306 + 12.6325i 0.945286 + 0.455244i
\(771\) 11.5394 25.1417i 0.415580 0.905457i
\(772\) −0.170238 0.0619615i −0.00612700 0.00223004i
\(773\) 3.58933 0.129099 0.0645496 0.997914i \(-0.479439\pi\)
0.0645496 + 0.997914i \(0.479439\pi\)
\(774\) −29.3835 + 11.0986i −1.05617 + 0.398930i
\(775\) 0.821730i 0.0295174i
\(776\) 15.1549 12.7165i 0.544031 0.456496i
\(777\) −22.9289 + 18.9893i −0.822569 + 0.681237i
\(778\) 3.30367 18.7360i 0.118442 0.671719i
\(779\) 20.3312 + 55.8595i 0.728440 + 2.00137i
\(780\) −0.301362 0.297742i −0.0107905 0.0106609i
\(781\) 2.84592 + 16.1400i 0.101835 + 0.577534i
\(782\) −1.59658 + 2.76535i −0.0570935 + 0.0988888i
\(783\) −20.4871 + 10.0093i −0.732150 + 0.357702i
\(784\) −24.3747 + 13.2727i −0.870525 + 0.474027i
\(785\) −3.53112 + 9.70167i −0.126031 + 0.346267i
\(786\) 15.1066 + 14.9251i 0.538834 + 0.532362i
\(787\) 30.5240 + 5.38221i 1.08806 + 0.191855i 0.688779 0.724971i \(-0.258147\pi\)
0.399286 + 0.916827i \(0.369258\pi\)
\(788\) −0.0844349 0.231983i −0.00300787 0.00826405i
\(789\) 28.4144 41.1063i 1.01158 1.46342i
\(790\) −18.1819 21.6684i −0.646885 0.770927i
\(791\) 5.99495 + 23.5452i 0.213156 + 0.837171i
\(792\) −20.5769 23.9294i −0.731168 0.850292i
\(793\) 24.7549 + 42.8767i 0.879072 + 1.52260i
\(794\) −23.2263 + 19.4892i −0.824271 + 0.691645i
\(795\) 2.93955 + 1.34917i 0.104255 + 0.0478503i
\(796\) −0.344943 0.0608228i −0.0122262 0.00215581i
\(797\) 18.1049 6.58966i 0.641310 0.233418i −0.000836476 1.00000i \(-0.500266\pi\)
0.642147 + 0.766582i \(0.278044\pi\)
\(798\) −26.1909 22.2658i −0.927148 0.788202i
\(799\) 3.37096 + 19.1177i 0.119256 + 0.676335i
\(800\) −0.0466414 + 0.0269284i −0.00164902 + 0.000952063i
\(801\) −11.4014 6.40019i −0.402850 0.226140i
\(802\) 18.6260 32.2612i 0.657708 1.13918i
\(803\) 1.96875 + 11.1653i 0.0694756 + 0.394016i
\(804\) −0.286682 + 0.135797i −0.0101105 + 0.00478918i
\(805\) 3.89967 0.292177i 0.137445 0.0102979i
\(806\) 9.05389 10.7900i 0.318910 0.380062i
\(807\) −3.74140 13.6331i −0.131704 0.479908i
\(808\) 10.4012 1.83402i 0.365914 0.0645205i
\(809\) −10.9220 + 6.30585i −0.383999 + 0.221702i −0.679557 0.733623i \(-0.737828\pi\)
0.295558 + 0.955325i \(0.404494\pi\)
\(810\) −22.8294 + 13.9267i −0.802142 + 0.489334i
\(811\) 43.6085i 1.53130i 0.643256 + 0.765652i \(0.277583\pi\)
−0.643256 + 0.765652i \(0.722417\pi\)
\(812\) 0.0201297 0.201134i 0.000706415 0.00705842i
\(813\) −14.4351 14.2617i −0.506262 0.500181i
\(814\) −31.8341 + 11.5867i −1.11578 + 0.406112i
\(815\) −18.5854 + 6.76454i −0.651019 + 0.236951i
\(816\) 18.2904 + 12.6431i 0.640292 + 0.442597i
\(817\) 39.0131 6.87906i 1.36489 0.240668i
\(818\) −17.6575 30.5837i −0.617380 1.06933i
\(819\) −51.0436 + 13.6552i −1.78361 + 0.477153i
\(820\) −0.204975 + 0.355028i −0.00715805 + 0.0123981i
\(821\) 9.39965 25.8253i 0.328050 0.901310i −0.660555 0.750778i \(-0.729679\pi\)
0.988605 0.150532i \(-0.0480988\pi\)
\(822\) −9.84384 13.8792i −0.343343 0.484094i
\(823\) −3.92941 3.29717i −0.136971 0.114932i 0.571728 0.820443i \(-0.306273\pi\)
−0.708699 + 0.705511i \(0.750718\pi\)
\(824\) 3.06132 17.3616i 0.106646 0.604821i
\(825\) 2.86113 2.02926i 0.0996118 0.0706496i
\(826\) −2.31296 + 23.1108i −0.0804781 + 0.804128i
\(827\) 22.7209 + 13.1179i 0.790082 + 0.456154i 0.839991 0.542600i \(-0.182560\pi\)
−0.0499094 + 0.998754i \(0.515893\pi\)
\(828\) −0.0345272 0.0120964i −0.00119990 0.000420380i
\(829\) 13.7370 + 7.93108i 0.477107 + 0.275458i 0.719210 0.694793i \(-0.244504\pi\)
−0.242103 + 0.970251i \(0.577837\pi\)
\(830\) 12.3696 33.9852i 0.429355 1.17964i
\(831\) −13.5600 9.37325i −0.470392 0.325154i
\(832\) 52.8958 + 9.32696i 1.83383 + 0.323354i
\(833\) 14.9972 16.9927i 0.519621 0.588764i
\(834\) −24.8204 6.49013i −0.859459 0.224735i
\(835\) −13.9236 + 11.6833i −0.481845 + 0.404316i
\(836\) 0.171761 + 0.297499i 0.00594049 + 0.0102892i
\(837\) 4.59380 + 6.31390i 0.158785 + 0.218240i
\(838\) 29.0435 + 16.7682i 1.00329 + 0.579249i
\(839\) −43.7933 15.9395i −1.51191 0.550291i −0.552800 0.833314i \(-0.686440\pi\)
−0.959113 + 0.283023i \(0.908663\pi\)
\(840\) 0.176932 27.4692i 0.00610473 0.947777i
\(841\) 7.46447 + 6.26343i 0.257395 + 0.215980i
\(842\) 6.99648 8.33808i 0.241115 0.287349i
\(843\) −35.9934 2.93001i −1.23968 0.100915i
\(844\) −0.0549092 0.0199853i −0.00189005 0.000687923i
\(845\) −66.0849 −2.27339
\(846\) 23.6929 8.94917i 0.814578 0.307679i
\(847\) −6.96189 + 1.77260i −0.239213 + 0.0609071i
\(848\) −3.45523 + 0.609251i −0.118653 + 0.0209218i
\(849\) −2.08034 + 1.47548i −0.0713970 + 0.0506383i
\(850\) −1.60246 + 1.90973i −0.0549638 + 0.0655033i
\(851\) −2.92493 + 3.48579i −0.100265 + 0.119491i
\(852\) 0.108854 0.0772047i 0.00372928 0.00264499i
\(853\) −33.3113 + 5.87368i −1.14056 + 0.201111i −0.711850 0.702332i \(-0.752142\pi\)
−0.428708 + 0.903443i \(0.641031\pi\)
\(854\) −7.50436 + 26.6705i −0.256794 + 0.912644i
\(855\) 31.5521 11.9177i 1.07906 0.407577i
\(856\) −8.11684 −0.277428
\(857\) −41.3614 15.0543i −1.41288 0.514246i −0.480905 0.876773i \(-0.659692\pi\)
−0.931973 + 0.362527i \(0.881914\pi\)
\(858\) −59.9275 4.87834i −2.04589 0.166544i
\(859\) 29.8856 35.6162i 1.01968 1.21521i 0.0433218 0.999061i \(-0.486206\pi\)
0.976360 0.216149i \(-0.0693496\pi\)
\(860\) 0.209283 + 0.175609i 0.00713648 + 0.00598822i
\(861\) 25.2799 + 44.4448i 0.861538 + 1.51468i
\(862\) 7.23046 + 2.63167i 0.246271 + 0.0896351i
\(863\) −6.24515 3.60564i −0.212587 0.122737i 0.389926 0.920846i \(-0.372501\pi\)
−0.602513 + 0.798109i \(0.705834\pi\)
\(864\) −0.207836 + 0.467653i −0.00707074 + 0.0159099i
\(865\) 8.94069 + 15.4857i 0.303992 + 0.526530i
\(866\) 38.3368 32.1684i 1.30274 1.09313i
\(867\) 10.9206 + 2.85556i 0.370882 + 0.0969798i
\(868\) −0.0690276 + 0.00517180i −0.00234295 + 0.000175542i
\(869\) 34.7197 + 6.12203i 1.17779 + 0.207676i
\(870\) −18.5773 12.8414i −0.629829 0.435364i
\(871\) −23.9503 + 65.8029i −0.811525 + 2.22965i
\(872\) 13.8594 + 8.00176i 0.469340 + 0.270974i
\(873\) 19.7184 + 6.90824i 0.667365 + 0.233809i
\(874\) −4.55031 2.62712i −0.153916 0.0888637i
\(875\) 30.8152 + 3.08402i 1.04174 + 0.104259i
\(876\) 0.0753031 0.0534087i 0.00254425 0.00180451i
\(877\) −7.82720 + 44.3903i −0.264306 + 1.49895i 0.506699 + 0.862123i \(0.330866\pi\)
−0.771005 + 0.636829i \(0.780246\pi\)
\(878\) −4.37765 3.67328i −0.147739 0.123967i
\(879\) 5.38748 + 7.59603i 0.181715 + 0.256208i
\(880\) 10.5979 29.1174i 0.357254 0.981547i
\(881\) 17.2527 29.8826i 0.581259 1.00677i −0.414071 0.910245i \(-0.635894\pi\)
0.995330 0.0965261i \(-0.0307731\pi\)
\(882\) −25.4149 15.1131i −0.855763 0.508885i
\(883\) −19.2076 33.2686i −0.646388 1.11958i −0.983979 0.178284i \(-0.942945\pi\)
0.337591 0.941293i \(-0.390388\pi\)
\(884\) −0.369569 + 0.0651649i −0.0124299 + 0.00219173i
\(885\) −18.7456 12.9577i −0.630126 0.435569i
\(886\) 10.9666 3.99151i 0.368429 0.134097i
\(887\) −25.3610 + 9.23065i −0.851539 + 0.309935i −0.730668 0.682733i \(-0.760791\pi\)
−0.120871 + 0.992668i \(0.538569\pi\)
\(888\) 22.7380 + 22.4649i 0.763036 + 0.753872i
\(889\) 2.96012 4.11714i 0.0992793 0.138084i
\(890\) 12.9500i 0.434085i
\(891\) 10.6396 31.5870i 0.356441 1.05820i
\(892\) 0.151324 0.0873671i 0.00506671 0.00292527i
\(893\) −31.4576 + 5.54682i −1.05269 + 0.185617i
\(894\) −7.18201 26.1702i −0.240202 0.875261i
\(895\) 6.55946 7.81726i 0.219259 0.261302i
\(896\) 16.6381 + 24.4044i 0.555839 + 0.815294i
\(897\) −7.29868 + 3.45727i −0.243696 + 0.115435i
\(898\) 7.09426 + 40.2335i 0.236739 + 1.34261i
\(899\) −3.29702 + 5.71060i −0.109962 + 0.190459i
\(900\) −0.0249068 0.0139814i −0.000830226 0.000466048i
\(901\) 2.48125 1.43255i 0.0826624 0.0477252i
\(902\) 10.1034 + 57.2992i 0.336406 + 1.90785i
\(903\) 32.0944 11.4478i 1.06803 0.380960i
\(904\) 24.5126 8.92187i 0.815278 0.296737i
\(905\) −9.48522 1.67250i −0.315299 0.0555958i
\(906\) 44.7591 + 20.5432i 1.48702 + 0.682502i
\(907\) −27.8874 + 23.4003i −0.925987 + 0.776996i −0.975093 0.221798i \(-0.928807\pi\)
0.0491052 + 0.998794i \(0.484363\pi\)
\(908\) 0.154511 + 0.267621i 0.00512764 + 0.00888133i
\(909\) 7.27259 + 8.45746i 0.241217 + 0.280516i
\(910\) −36.5406 37.4645i −1.21131 1.24194i
\(911\) 17.9098 + 21.3441i 0.593378 + 0.707160i 0.976251 0.216640i \(-0.0695099\pi\)
−0.382873 + 0.923801i \(0.625065\pi\)
\(912\) −20.8038 + 30.0963i −0.688884 + 0.996589i
\(913\) 15.4173 + 42.3586i 0.510238 + 1.40187i
\(914\) −9.09603 1.60388i −0.300870 0.0530515i
\(915\) −19.3374 19.1051i −0.639275 0.631597i
\(916\) −0.0777926 + 0.213733i −0.00257034 + 0.00706195i
\(917\) −16.0857 16.4924i −0.531197 0.544627i
\(918\) −1.63657 + 23.6321i −0.0540150 + 0.779976i
\(919\) 24.7371 42.8459i 0.816001 1.41336i −0.0926055 0.995703i \(-0.529520\pi\)
0.908607 0.417653i \(-0.137147\pi\)
\(920\) −0.729081 4.13482i −0.0240371 0.136321i
\(921\) −9.63105 9.51538i −0.317354 0.313542i
\(922\) −10.6542 29.2723i −0.350879 0.964031i
\(923\) 5.11565 29.0123i 0.168384 0.954950i
\(924\) 0.188471 + 0.227571i 0.00620023 + 0.00748655i
\(925\) −2.72145 + 2.28357i −0.0894807 + 0.0750832i
\(926\) 23.2364i 0.763595i
\(927\) 17.4176 6.57891i 0.572070 0.216080i
\(928\) −0.432178 −0.0141870
\(929\) −29.3067 10.6668i −0.961522 0.349966i −0.186892 0.982380i \(-0.559842\pi\)
−0.774630 + 0.632415i \(0.782064\pi\)
\(930\) −3.22595 + 7.02864i −0.105783 + 0.230478i
\(931\) 27.9611 + 24.6774i 0.916387 + 0.808768i
\(932\) 0.112975 + 0.310396i 0.00370062 + 0.0101674i
\(933\) 12.4278 + 17.5225i 0.406868 + 0.573660i
\(934\) 1.29087 + 1.53840i 0.0422386 + 0.0503380i
\(935\) 25.3035i 0.827512i
\(936\) 20.0455 + 53.0704i 0.655208 + 1.73466i
\(937\) 15.9634 9.21646i 0.521501 0.301089i −0.216048 0.976383i \(-0.569317\pi\)
0.737548 + 0.675294i \(0.235983\pi\)
\(938\) −35.7196 + 16.1166i −1.16629 + 0.526226i
\(939\) −6.98076 + 10.0989i −0.227808 + 0.329564i
\(940\) −0.168752 0.141600i −0.00550407 0.00461847i
\(941\) −3.99360 + 22.6488i −0.130188 + 0.738331i 0.847903 + 0.530152i \(0.177865\pi\)
−0.978091 + 0.208180i \(0.933246\pi\)
\(942\) 8.38588 8.48783i 0.273227 0.276548i
\(943\) 5.02349 + 5.98676i 0.163587 + 0.194956i
\(944\) 24.7197 0.804558
\(945\) 25.0422 14.6471i 0.814622 0.476470i
\(946\) 38.7744 1.26066
\(947\) −11.7046 13.9490i −0.380349 0.453282i 0.541575 0.840652i \(-0.317828\pi\)
−0.921924 + 0.387370i \(0.873384\pi\)
\(948\) −0.0759756 0.276844i −0.00246757 0.00899146i
\(949\) 3.53890 20.0701i 0.114878 0.651503i
\(950\) −3.14241 2.63679i −0.101953 0.0855488i
\(951\) −29.2202 2.37864i −0.947530 0.0771327i
\(952\) −19.7570 14.2048i −0.640328 0.460380i
\(953\) −20.4233 + 11.7914i −0.661576 + 0.381961i −0.792877 0.609381i \(-0.791418\pi\)
0.131301 + 0.991343i \(0.458085\pi\)
\(954\) −2.43713 2.83420i −0.0789052 0.0917606i
\(955\) 21.8239i 0.706203i
\(956\) 0.237736 + 0.283323i 0.00768893 + 0.00916331i
\(957\) 28.0254 2.62261i 0.905931 0.0847768i
\(958\) 11.5750 + 31.8020i 0.373971 + 1.02748i
\(959\) 10.3984 + 15.2522i 0.335782 + 0.492519i
\(960\) −29.3623 + 2.74772i −0.947665 + 0.0886823i
\(961\) −27.0086 9.83031i −0.871244 0.317107i
\(962\) 60.8954 1.96335
\(963\) −4.37554 7.37150i −0.141000 0.237543i
\(964\) 0.205163i 0.00660785i
\(965\) 16.8205 14.1141i 0.541472 0.454349i
\(966\) −4.23686 1.57307i −0.136319 0.0506126i
\(967\) −6.40078 + 36.3006i −0.205835 + 1.16735i 0.690285 + 0.723537i \(0.257485\pi\)
−0.896120 + 0.443811i \(0.853626\pi\)
\(968\) 2.63803 + 7.24794i 0.0847896 + 0.232958i
\(969\) 7.55824 28.9052i 0.242806 0.928568i
\(970\) 3.59344 + 20.3794i 0.115378 + 0.654343i
\(971\) −6.28287 + 10.8822i −0.201627 + 0.349228i −0.949053 0.315117i \(-0.897956\pi\)
0.747426 + 0.664345i \(0.231289\pi\)
\(972\) −0.269537 + 0.0318102i −0.00864541 + 0.00102031i
\(973\) 26.7915 + 7.53842i 0.858895 + 0.241671i
\(974\) −17.1077 + 47.0029i −0.548165 + 1.50607i
\(975\) −6.08041 + 1.66868i −0.194729 + 0.0534404i
\(976\) 29.0396 + 5.12047i 0.929536 + 0.163902i
\(977\) 5.53944 + 15.2195i 0.177222 + 0.486914i 0.996218 0.0868850i \(-0.0276913\pi\)
−0.818996 + 0.573799i \(0.805469\pi\)
\(978\) 22.7822 + 1.85456i 0.728493 + 0.0593022i
\(979\) 10.3750 + 12.3645i 0.331588 + 0.395171i
\(980\) −0.00642009 + 0.257108i −0.000205082 + 0.00821303i
\(981\) 0.204219 + 16.9003i 0.00652020 + 0.539585i
\(982\) −21.8395 37.8272i −0.696927 1.20711i
\(983\) −0.923122 + 0.774591i −0.0294430 + 0.0247056i −0.657390 0.753550i \(-0.728340\pi\)
0.627947 + 0.778256i \(0.283895\pi\)
\(984\) 44.7780 31.7588i 1.42747 1.01243i
\(985\) 29.4670 + 5.19584i 0.938898 + 0.165553i
\(986\) −18.7986 + 6.84215i −0.598671 + 0.217898i
\(987\) −25.8788 + 9.23078i −0.823731 + 0.293819i
\(988\) −0.107227 0.608114i −0.00341134 0.0193467i
\(989\) 4.51042 2.60409i 0.143423 0.0828052i
\(990\) 32.4390 6.12491i 1.03098 0.194663i
\(991\) 26.7781 46.3810i 0.850635 1.47334i −0.0300019 0.999550i \(-0.509551\pi\)
0.880636 0.473793i \(-0.157115\pi\)
\(992\) 0.0256994 + 0.145748i 0.000815956 + 0.00462752i
\(993\) 2.03229 24.9655i 0.0644928 0.792256i
\(994\) 13.6215 9.28666i 0.432048 0.294555i
\(995\) 27.2884 32.5211i 0.865101 1.03099i
\(996\) 0.257976 0.261112i 0.00817427 0.00827365i
\(997\) −2.68170 + 0.472857i −0.0849304 + 0.0149755i −0.215952 0.976404i \(-0.569285\pi\)
0.131021 + 0.991380i \(0.458174\pi\)
\(998\) 44.4078 25.6388i 1.40570 0.811584i
\(999\) −8.14466 + 32.7602i −0.257686 + 1.03649i
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 189.2.ba.a.131.16 yes 132
3.2 odd 2 567.2.ba.a.341.7 132
7.3 odd 6 189.2.bd.a.185.7 yes 132
21.17 even 6 567.2.bd.a.17.16 132
27.7 even 9 567.2.bd.a.467.16 132
27.20 odd 18 189.2.bd.a.47.7 yes 132
189.101 even 18 inner 189.2.ba.a.101.16 132
189.115 odd 18 567.2.ba.a.143.7 132
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.ba.a.101.16 132 189.101 even 18 inner
189.2.ba.a.131.16 yes 132 1.1 even 1 trivial
189.2.bd.a.47.7 yes 132 27.20 odd 18
189.2.bd.a.185.7 yes 132 7.3 odd 6
567.2.ba.a.143.7 132 189.115 odd 18
567.2.ba.a.341.7 132 3.2 odd 2
567.2.bd.a.17.16 132 21.17 even 6
567.2.bd.a.467.16 132 27.7 even 9