Properties

Label 722.2.i.a.505.15
Level $722$
Weight $2$
Character 722.505
Analytic conductor $5.765$
Analytic rank $0$
Dimension $576$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [722,2,Mod(7,722)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(722, base_ring=CyclotomicField(114))
 
chi = DirichletCharacter(H, H._module([50]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("722.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.i (of order \(57\), degree \(36\), 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: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(576\)
Relative dimension: \(16\) over \(\Q(\zeta_{57})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{57}]$

Embedding invariants

Embedding label 505.15
Character \(\chi\) \(=\) 722.505
Dual form 722.2.i.a.539.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.851919 + 0.523673i) q^{2} +(0.999511 - 2.66957i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-2.22978 - 3.03373i) q^{5} +(0.546481 + 2.79768i) q^{6} +(0.329755 - 0.504728i) q^{7} +(0.0825793 + 0.996584i) q^{8} +(-3.86528 - 3.36628i) q^{9} +O(q^{10})\) \(q+(-0.851919 + 0.523673i) q^{2} +(0.999511 - 2.66957i) q^{3} +(0.451533 - 0.892254i) q^{4} +(-2.22978 - 3.03373i) q^{5} +(0.546481 + 2.79768i) q^{6} +(0.329755 - 0.504728i) q^{7} +(0.0825793 + 0.996584i) q^{8} +(-3.86528 - 3.36628i) q^{9} +(3.48828 + 1.41682i) q^{10} +(-1.53065 - 0.525472i) q^{11} +(-1.93063 - 2.09722i) q^{12} +(-0.352191 - 0.427642i) q^{13} +(-0.0166125 + 0.602671i) q^{14} +(-10.3275 + 2.92033i) q^{15} +(-0.592235 - 0.805765i) q^{16} +(0.0653516 + 0.129138i) q^{17} +(5.05574 + 0.843654i) q^{18} +(4.29040 - 0.769710i) q^{19} +(-3.71368 + 0.619703i) q^{20} +(-1.01781 - 1.38479i) q^{21} +(1.57916 - 0.353899i) q^{22} +(-0.881465 - 2.35429i) q^{23} +(2.74299 + 0.775645i) q^{24} +(-2.73900 + 8.75708i) q^{25} +(0.523983 + 0.179884i) q^{26} +(-5.32896 + 2.88389i) q^{27} +(-0.301450 - 0.522127i) q^{28} +(3.12000 + 0.172135i) q^{29} +(7.26886 - 7.89609i) q^{30} +(-1.63431 + 0.884446i) q^{31} +(0.926494 + 0.376309i) q^{32} +(-2.93269 + 3.56096i) q^{33} +(-0.123301 - 0.0757926i) q^{34} +(-2.26649 + 0.125046i) q^{35} +(-4.74888 + 1.92883i) q^{36} +(9.82470 + 3.37282i) q^{37} +(-3.25200 + 2.90250i) q^{38} +(-1.49364 + 0.512768i) q^{39} +(2.83923 - 2.47269i) q^{40} +(-6.24983 - 6.07993i) q^{41} +(1.59227 + 0.646724i) q^{42} +(-7.06304 + 2.86876i) q^{43} +(-1.15999 + 1.12846i) q^{44} +(-1.59363 + 19.2323i) q^{45} +(1.98381 + 1.54406i) q^{46} +(-0.912642 - 4.67222i) q^{47} +(-2.74299 + 0.775645i) q^{48} +(2.66586 + 6.07754i) q^{49} +(-2.25244 - 8.89467i) q^{50} +(0.410064 - 0.0453859i) q^{51} +(-0.540592 + 0.121149i) q^{52} +(1.96678 + 10.0688i) q^{53} +(3.02963 - 5.24748i) q^{54} +(1.81887 + 5.81526i) q^{55} +(0.530235 + 0.286949i) q^{56} +(2.23350 - 12.2229i) q^{57} +(-2.74813 + 1.48721i) q^{58} +(-1.17121 - 1.13937i) q^{59} +(-2.05752 + 10.5333i) q^{60} +(-2.83036 + 1.33568i) q^{61} +(0.929143 - 1.60932i) q^{62} +(-2.97365 + 0.840868i) q^{63} +(-0.986361 + 0.164595i) q^{64} +(-0.512040 + 2.02200i) q^{65} +(0.633632 - 4.56942i) q^{66} +(-0.0366102 + 0.0253849i) q^{67} +0.144733 q^{68} -7.16598 q^{69} +(1.86538 - 1.29343i) q^{70} +(3.50827 + 1.65559i) q^{71} +(3.03559 - 4.13007i) q^{72} +(-6.38473 - 12.6166i) q^{73} +(-10.1361 + 2.27155i) q^{74} +(20.6400 + 16.0648i) q^{75} +(1.25048 - 4.17568i) q^{76} +(-0.769959 + 0.599283i) q^{77} +(1.00394 - 1.21902i) q^{78} +(12.3257 - 5.00627i) q^{79} +(-1.12392 + 3.59336i) q^{80} +(0.260327 + 1.87734i) q^{81} +(8.50825 + 1.90674i) q^{82} +(-0.865436 - 1.97299i) q^{83} +(-1.69516 + 0.282872i) q^{84} +(0.246051 - 0.486210i) q^{85} +(4.51485 - 6.14268i) q^{86} +(3.57800 - 8.15701i) q^{87} +(0.397277 - 1.56881i) q^{88} +(-2.38350 + 4.70992i) q^{89} +(-8.71378 - 17.2189i) q^{90} +(-0.331980 + 0.0367435i) q^{91} +(-2.49864 - 0.276549i) q^{92} +(0.727581 + 5.24693i) q^{93} +(3.22421 + 3.50243i) q^{94} +(-11.9018 - 11.2996i) q^{95} +(1.93063 - 2.09722i) q^{96} +(-5.57839 - 3.86797i) q^{97} +(-5.45374 - 3.78154i) q^{98} +(4.14750 + 7.18369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 576 q - 16 q^{2} + q^{3} + 16 q^{4} - q^{5} - q^{6} + 10 q^{7} + 32 q^{8} + 13 q^{9} + q^{10} + 34 q^{11} - 2 q^{12} + 2 q^{13} - 14 q^{14} + 38 q^{15} + 16 q^{16} + 12 q^{17} + 26 q^{18} + 7 q^{19} + 2 q^{20} + 75 q^{21} + 36 q^{22} - 45 q^{23} - q^{24} + 9 q^{25} + 4 q^{26} - 110 q^{27} + 33 q^{28} - 36 q^{29} - 57 q^{30} - 4 q^{31} - 16 q^{32} + 81 q^{33} + 7 q^{34} - 2 q^{35} + 13 q^{36} + 14 q^{37} - 30 q^{38} + 40 q^{39} + q^{40} + 11 q^{41} + q^{42} - 9 q^{43} + 2 q^{44} - 85 q^{45} - 33 q^{46} - 213 q^{47} + q^{48} - 76 q^{49} - 20 q^{50} - 3 q^{51} + 2 q^{52} - 144 q^{53} + 78 q^{54} - 6 q^{55} - 29 q^{56} - 8 q^{57} + 4 q^{58} - 5 q^{59} + 69 q^{61} - 2 q^{62} - 95 q^{63} - 32 q^{64} - 84 q^{65} - 5 q^{66} - 5 q^{67} - 62 q^{68} + 2 q^{69} + 211 q^{70} + 129 q^{71} - 13 q^{72} - 8 q^{73} - 31 q^{74} - 36 q^{75} - 18 q^{76} - 10 q^{77} + q^{78} - 2 q^{79} - q^{80} - 64 q^{81} - 49 q^{82} - 72 q^{83} + 2 q^{84} - 6 q^{85} - 10 q^{86} - 81 q^{87} + 4 q^{88} - 7 q^{89} + 81 q^{90} + 35 q^{91} - 7 q^{92} - 80 q^{93} - 27 q^{94} + 285 q^{95} + 2 q^{96} + 38 q^{97} - 171 q^{98} + 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{47}{57}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.851919 + 0.523673i −0.602398 + 0.370293i
\(3\) 0.999511 2.66957i 0.577068 1.54128i −0.243601 0.969875i \(-0.578329\pi\)
0.820669 0.571404i \(-0.193601\pi\)
\(4\) 0.451533 0.892254i 0.225767 0.446127i
\(5\) −2.22978 3.03373i −0.997189 1.35672i −0.933430 0.358759i \(-0.883200\pi\)
−0.0637589 0.997965i \(-0.520309\pi\)
\(6\) 0.546481 + 2.79768i 0.223100 + 1.14215i
\(7\) 0.329755 0.504728i 0.124636 0.190769i −0.769397 0.638771i \(-0.779443\pi\)
0.894033 + 0.448002i \(0.147864\pi\)
\(8\) 0.0825793 + 0.996584i 0.0291962 + 0.352346i
\(9\) −3.86528 3.36628i −1.28843 1.12209i
\(10\) 3.48828 + 1.41682i 1.10309 + 0.448036i
\(11\) −1.53065 0.525472i −0.461508 0.158436i 0.0841338 0.996454i \(-0.473188\pi\)
−0.545642 + 0.838019i \(0.683714\pi\)
\(12\) −1.93063 2.09722i −0.557324 0.605415i
\(13\) −0.352191 0.427642i −0.0976803 0.118607i 0.720795 0.693148i \(-0.243777\pi\)
−0.818475 + 0.574542i \(0.805180\pi\)
\(14\) −0.0166125 + 0.602671i −0.00443988 + 0.161071i
\(15\) −10.3275 + 2.92033i −2.66654 + 0.754025i
\(16\) −0.592235 0.805765i −0.148059 0.201441i
\(17\) 0.0653516 + 0.129138i 0.0158501 + 0.0313207i 0.900042 0.435803i \(-0.143536\pi\)
−0.884192 + 0.467124i \(0.845290\pi\)
\(18\) 5.05574 + 0.843654i 1.19165 + 0.198851i
\(19\) 4.29040 0.769710i 0.984286 0.176584i
\(20\) −3.71368 + 0.619703i −0.830404 + 0.138570i
\(21\) −1.01781 1.38479i −0.222105 0.302185i
\(22\) 1.57916 0.353899i 0.336679 0.0754515i
\(23\) −0.881465 2.35429i −0.183798 0.490903i 0.811875 0.583832i \(-0.198447\pi\)
−0.995673 + 0.0929288i \(0.970377\pi\)
\(24\) 2.74299 + 0.775645i 0.559911 + 0.158328i
\(25\) −2.73900 + 8.75708i −0.547801 + 1.75142i
\(26\) 0.523983 + 0.179884i 0.102762 + 0.0352781i
\(27\) −5.32896 + 2.88389i −1.02556 + 0.555005i
\(28\) −0.301450 0.522127i −0.0569687 0.0986727i
\(29\) 3.12000 + 0.172135i 0.579369 + 0.0319647i 0.342403 0.939553i \(-0.388759\pi\)
0.236966 + 0.971518i \(0.423847\pi\)
\(30\) 7.26886 7.89609i 1.32711 1.44162i
\(31\) −1.63431 + 0.884446i −0.293531 + 0.158851i −0.616039 0.787716i \(-0.711264\pi\)
0.322508 + 0.946567i \(0.395474\pi\)
\(32\) 0.926494 + 0.376309i 0.163783 + 0.0665227i
\(33\) −2.93269 + 3.56096i −0.510515 + 0.619884i
\(34\) −0.123301 0.0757926i −0.0211459 0.0129983i
\(35\) −2.26649 + 0.125046i −0.383106 + 0.0211366i
\(36\) −4.74888 + 1.92883i −0.791480 + 0.321471i
\(37\) 9.82470 + 3.37282i 1.61517 + 0.554489i 0.976598 0.215073i \(-0.0689990\pi\)
0.638572 + 0.769562i \(0.279525\pi\)
\(38\) −3.25200 + 2.90250i −0.527544 + 0.470847i
\(39\) −1.49364 + 0.512768i −0.239174 + 0.0821085i
\(40\) 2.83923 2.47269i 0.448922 0.390967i
\(41\) −6.24983 6.07993i −0.976060 0.949526i 0.0226785 0.999743i \(-0.492781\pi\)
−0.998738 + 0.0502172i \(0.984009\pi\)
\(42\) 1.59227 + 0.646724i 0.245693 + 0.0997917i
\(43\) −7.06304 + 2.86876i −1.07710 + 0.437482i −0.844756 0.535151i \(-0.820255\pi\)
−0.232348 + 0.972633i \(0.574641\pi\)
\(44\) −1.15999 + 1.12846i −0.174876 + 0.170122i
\(45\) −1.59363 + 19.2323i −0.237565 + 2.86698i
\(46\) 1.98381 + 1.54406i 0.292498 + 0.227660i
\(47\) −0.912642 4.67222i −0.133123 0.681513i −0.986959 0.160972i \(-0.948537\pi\)
0.853837 0.520541i \(-0.174270\pi\)
\(48\) −2.74299 + 0.775645i −0.395917 + 0.111955i
\(49\) 2.66586 + 6.07754i 0.380837 + 0.868220i
\(50\) −2.25244 8.89467i −0.318543 1.25790i
\(51\) 0.410064 0.0453859i 0.0574205 0.00635529i
\(52\) −0.540592 + 0.121149i −0.0749666 + 0.0168004i
\(53\) 1.96678 + 10.0688i 0.270158 + 1.38306i 0.831523 + 0.555490i \(0.187469\pi\)
−0.561365 + 0.827568i \(0.689724\pi\)
\(54\) 3.02963 5.24748i 0.412281 0.714091i
\(55\) 1.81887 + 5.81526i 0.245257 + 0.784129i
\(56\) 0.530235 + 0.286949i 0.0708556 + 0.0383451i
\(57\) 2.23350 12.2229i 0.295835 1.61896i
\(58\) −2.74813 + 1.48721i −0.360847 + 0.195281i
\(59\) −1.17121 1.13937i −0.152479 0.148334i 0.617102 0.786883i \(-0.288307\pi\)
−0.769581 + 0.638550i \(0.779535\pi\)
\(60\) −2.05752 + 10.5333i −0.265624 + 1.35985i
\(61\) −2.83036 + 1.33568i −0.362390 + 0.171016i −0.599318 0.800511i \(-0.704561\pi\)
0.236927 + 0.971527i \(0.423860\pi\)
\(62\) 0.929143 1.60932i 0.118001 0.204384i
\(63\) −2.97365 + 0.840868i −0.374645 + 0.105939i
\(64\) −0.986361 + 0.164595i −0.123295 + 0.0205743i
\(65\) −0.512040 + 2.02200i −0.0635108 + 0.250798i
\(66\) 0.633632 4.56942i 0.0779947 0.562457i
\(67\) −0.0366102 + 0.0253849i −0.00447264 + 0.00310126i −0.572042 0.820224i \(-0.693849\pi\)
0.567570 + 0.823325i \(0.307884\pi\)
\(68\) 0.144733 0.0175514
\(69\) −7.16598 −0.862683
\(70\) 1.86538 1.29343i 0.222956 0.154594i
\(71\) 3.50827 + 1.65559i 0.416355 + 0.196482i 0.623493 0.781829i \(-0.285713\pi\)
−0.207138 + 0.978312i \(0.566415\pi\)
\(72\) 3.03559 4.13007i 0.357747 0.486733i
\(73\) −6.38473 12.6166i −0.747276 1.47666i −0.874625 0.484800i \(-0.838892\pi\)
0.127349 0.991858i \(-0.459353\pi\)
\(74\) −10.1361 + 2.27155i −1.17830 + 0.264063i
\(75\) 20.6400 + 16.0648i 2.38330 + 1.85500i
\(76\) 1.25048 4.17568i 0.143440 0.478983i
\(77\) −0.769959 + 0.599283i −0.0877450 + 0.0682947i
\(78\) 1.00394 1.21902i 0.113674 0.138026i
\(79\) 12.3257 5.00627i 1.38675 0.563249i 0.443783 0.896134i \(-0.353636\pi\)
0.942968 + 0.332885i \(0.108022\pi\)
\(80\) −1.12392 + 3.59336i −0.125658 + 0.401750i
\(81\) 0.260327 + 1.87734i 0.0289252 + 0.208594i
\(82\) 8.50825 + 1.90674i 0.939579 + 0.210565i
\(83\) −0.865436 1.97299i −0.0949939 0.216564i 0.861852 0.507160i \(-0.169305\pi\)
−0.956846 + 0.290595i \(0.906147\pi\)
\(84\) −1.69516 + 0.282872i −0.184957 + 0.0308639i
\(85\) 0.246051 0.486210i 0.0266880 0.0527368i
\(86\) 4.51485 6.14268i 0.486849 0.662382i
\(87\) 3.57800 8.15701i 0.383602 0.874524i
\(88\) 0.397277 1.56881i 0.0423499 0.167236i
\(89\) −2.38350 + 4.70992i −0.252650 + 0.499250i −0.982949 0.183877i \(-0.941135\pi\)
0.730299 + 0.683127i \(0.239381\pi\)
\(90\) −8.71378 17.2189i −0.918513 1.81503i
\(91\) −0.331980 + 0.0367435i −0.0348009 + 0.00385177i
\(92\) −2.49864 0.276549i −0.260501 0.0288322i
\(93\) 0.727581 + 5.24693i 0.0754466 + 0.544082i
\(94\) 3.22421 + 3.50243i 0.332552 + 0.361248i
\(95\) −11.9018 11.2996i −1.22109 1.15932i
\(96\) 1.93063 2.09722i 0.197044 0.214047i
\(97\) −5.57839 3.86797i −0.566400 0.392733i 0.251703 0.967804i \(-0.419009\pi\)
−0.818103 + 0.575072i \(0.804974\pi\)
\(98\) −5.45374 3.78154i −0.550911 0.381993i
\(99\) 4.14750 + 7.18369i 0.416840 + 0.721988i
\(100\) 6.57679 + 6.39800i 0.657679 + 0.639800i
\(101\) −6.77330 5.89887i −0.673969 0.586960i 0.250547 0.968105i \(-0.419390\pi\)
−0.924515 + 0.381145i \(0.875530\pi\)
\(102\) −0.325574 + 0.253405i −0.0322366 + 0.0250908i
\(103\) −5.89357 9.02079i −0.580711 0.888845i 0.419107 0.907937i \(-0.362343\pi\)
−0.999818 + 0.0190924i \(0.993922\pi\)
\(104\) 0.397098 0.386303i 0.0389386 0.0378801i
\(105\) −1.93156 + 6.17554i −0.188501 + 0.602671i
\(106\) −6.94831 7.54787i −0.674879 0.733114i
\(107\) −11.8398 6.40735i −1.14459 0.619422i −0.210903 0.977507i \(-0.567640\pi\)
−0.933689 + 0.358085i \(0.883430\pi\)
\(108\) 0.166959 + 6.05696i 0.0160656 + 0.582831i
\(109\) 1.24212 6.35897i 0.118974 0.609079i −0.873520 0.486787i \(-0.838169\pi\)
0.992494 0.122292i \(-0.0390244\pi\)
\(110\) −4.59483 4.00164i −0.438099 0.381541i
\(111\) 18.8239 22.8566i 1.78668 2.16945i
\(112\) −0.601985 + 0.0332124i −0.0568822 + 0.00313828i
\(113\) −6.75842 10.3445i −0.635778 0.973131i −0.999139 0.0414829i \(-0.986792\pi\)
0.363361 0.931649i \(-0.381629\pi\)
\(114\) 4.49802 + 11.5825i 0.421279 + 1.08480i
\(115\) −5.17680 + 7.92368i −0.482739 + 0.738887i
\(116\) 1.56237 2.70611i 0.145063 0.251256i
\(117\) −0.0782436 + 2.83853i −0.00723362 + 0.262422i
\(118\) 1.59444 + 0.357321i 0.146780 + 0.0328941i
\(119\) 0.0867297 + 0.00959924i 0.00795050 + 0.000879961i
\(120\) −3.76319 10.0510i −0.343530 0.917528i
\(121\) −6.61378 5.14771i −0.601253 0.467974i
\(122\) 1.71178 2.62007i 0.154977 0.237210i
\(123\) −22.4776 + 10.6074i −2.02674 + 0.956440i
\(124\) 0.0512038 + 1.85758i 0.00459824 + 0.166816i
\(125\) 14.8688 5.10448i 1.32991 0.456559i
\(126\) 2.09297 2.27357i 0.186457 0.202546i
\(127\) 7.01592 + 12.1519i 0.622562 + 1.07831i 0.989007 + 0.147870i \(0.0472417\pi\)
−0.366444 + 0.930440i \(0.619425\pi\)
\(128\) 0.754107 0.656752i 0.0666542 0.0580492i
\(129\) 0.598781 + 21.7227i 0.0527198 + 1.91257i
\(130\) −0.622650 1.99072i −0.0546100 0.174598i
\(131\) 0.307828 11.1674i 0.0268951 0.975704i −0.859044 0.511902i \(-0.828941\pi\)
0.885939 0.463802i \(-0.153515\pi\)
\(132\) 1.85308 + 4.22459i 0.161290 + 0.367704i
\(133\) 1.02629 2.41930i 0.0889904 0.209780i
\(134\) 0.0178955 0.0407977i 0.00154594 0.00352438i
\(135\) 20.6314 + 9.73618i 1.77567 + 0.837957i
\(136\) −0.123301 + 0.0757926i −0.0105729 + 0.00649916i
\(137\) 9.73135 6.74757i 0.831406 0.576484i −0.0758232 0.997121i \(-0.524158\pi\)
0.907229 + 0.420637i \(0.138194\pi\)
\(138\) 6.10484 3.75263i 0.519678 0.319445i
\(139\) 0.746919 5.38639i 0.0633529 0.456868i −0.932145 0.362085i \(-0.882065\pi\)
0.995498 0.0947828i \(-0.0302157\pi\)
\(140\) −0.911823 + 2.07875i −0.0770631 + 0.175686i
\(141\) −13.3850 2.23357i −1.12722 0.188100i
\(142\) −3.85575 + 0.426754i −0.323567 + 0.0358124i
\(143\) 0.314367 + 0.839636i 0.0262887 + 0.0702139i
\(144\) −0.423272 + 5.10814i −0.0352727 + 0.425678i
\(145\) −6.43471 9.84905i −0.534373 0.817919i
\(146\) 12.0462 + 7.40479i 0.996953 + 0.612825i
\(147\) 18.8890 1.04213i 1.55794 0.0859538i
\(148\) 7.44559 7.24319i 0.612024 0.595386i
\(149\) 23.0493 + 6.51771i 1.88827 + 0.533952i 0.996710 + 0.0810498i \(0.0258273\pi\)
0.891560 + 0.452902i \(0.149611\pi\)
\(150\) −25.9963 2.87727i −2.12259 0.234928i
\(151\) 4.63039 + 18.2850i 0.376816 + 1.48801i 0.809851 + 0.586636i \(0.199548\pi\)
−0.433035 + 0.901377i \(0.642557\pi\)
\(152\) 1.12138 + 4.21219i 0.0909559 + 0.341653i
\(153\) 0.182113 0.719148i 0.0147230 0.0581397i
\(154\) 0.342115 0.913748i 0.0275684 0.0736319i
\(155\) 6.32733 + 2.98594i 0.508224 + 0.239837i
\(156\) −0.216910 + 1.56424i −0.0173667 + 0.125239i
\(157\) −1.52271 + 4.06697i −0.121525 + 0.324580i −0.983105 0.183043i \(-0.941405\pi\)
0.861580 + 0.507622i \(0.169475\pi\)
\(158\) −7.87886 + 10.7196i −0.626809 + 0.852804i
\(159\) 28.8453 + 4.81343i 2.28758 + 0.381730i
\(160\) −0.924260 3.64982i −0.0730692 0.288544i
\(161\) −1.47894 0.331439i −0.116557 0.0261210i
\(162\) −1.20489 1.46302i −0.0946652 0.114946i
\(163\) 17.1456 + 9.27873i 1.34295 + 0.726766i 0.978847 0.204593i \(-0.0655872\pi\)
0.364100 + 0.931360i \(0.381377\pi\)
\(164\) −8.24685 + 2.83115i −0.643971 + 0.221075i
\(165\) 17.3422 + 0.956798i 1.35009 + 0.0744866i
\(166\) 1.77049 + 1.22763i 0.137416 + 0.0952824i
\(167\) 0.00350866 0.000193578i 0.000271509 1.49795e-5i 0.0552235 0.998474i \(-0.482413\pi\)
−0.0549520 + 0.998489i \(0.517501\pi\)
\(168\) 1.29601 1.12869i 0.0999890 0.0870805i
\(169\) 2.43340 12.4576i 0.187185 0.958280i
\(170\) 0.0449994 + 0.543061i 0.00345129 + 0.0416509i
\(171\) −19.1747 11.4675i −1.46632 0.876945i
\(172\) −0.629536 + 7.59737i −0.0480017 + 0.579294i
\(173\) −15.2476 4.31161i −1.15925 0.327806i −0.362426 0.932012i \(-0.618052\pi\)
−0.796828 + 0.604207i \(0.793490\pi\)
\(174\) 1.22344 + 8.82282i 0.0927488 + 0.668856i
\(175\) 3.51674 + 4.27014i 0.265841 + 0.322792i
\(176\) 0.483097 + 1.54455i 0.0364148 + 0.116425i
\(177\) −4.21228 + 1.98782i −0.316614 + 0.149414i
\(178\) −0.435909 5.26064i −0.0326728 0.394302i
\(179\) 6.98540 5.43695i 0.522113 0.406377i −0.318574 0.947898i \(-0.603204\pi\)
0.840687 + 0.541521i \(0.182151\pi\)
\(180\) 16.4405 + 10.1059i 1.22540 + 0.753253i
\(181\) −16.0345 9.85637i −1.19184 0.732619i −0.221684 0.975119i \(-0.571155\pi\)
−0.970151 + 0.242500i \(0.922033\pi\)
\(182\) 0.263578 0.205151i 0.0195377 0.0152068i
\(183\) 0.736719 + 8.89088i 0.0544599 + 0.657233i
\(184\) 2.27346 1.07287i 0.167601 0.0790930i
\(185\) −11.6747 37.3261i −0.858342 2.74427i
\(186\) −3.36752 4.08895i −0.246918 0.299816i
\(187\) −0.0321717 0.232006i −0.00235263 0.0169659i
\(188\) −4.58089 1.29535i −0.334096 0.0944734i
\(189\) −0.301673 + 3.64065i −0.0219435 + 0.264818i
\(190\) 16.0566 + 3.39375i 1.16487 + 0.246208i
\(191\) 1.85632 + 22.4025i 0.134319 + 1.62098i 0.647058 + 0.762441i \(0.275999\pi\)
−0.512740 + 0.858544i \(0.671369\pi\)
\(192\) −0.546481 + 2.79768i −0.0394389 + 0.201905i
\(193\) −0.0234667 + 0.0204372i −0.00168917 + 0.00147110i −0.657596 0.753371i \(-0.728427\pi\)
0.655907 + 0.754842i \(0.272286\pi\)
\(194\) 6.77789 + 0.373947i 0.486624 + 0.0268478i
\(195\) 4.88609 + 3.38794i 0.349900 + 0.242616i
\(196\) 6.62643 + 0.365591i 0.473317 + 0.0261136i
\(197\) −8.94650 + 3.07134i −0.637412 + 0.218824i −0.624416 0.781092i \(-0.714663\pi\)
−0.0129957 + 0.999916i \(0.504137\pi\)
\(198\) −7.29524 3.94799i −0.518450 0.280571i
\(199\) −3.45304 4.19280i −0.244780 0.297220i 0.635086 0.772441i \(-0.280964\pi\)
−0.879866 + 0.475221i \(0.842368\pi\)
\(200\) −8.95336 2.00649i −0.633098 0.141881i
\(201\) 0.0311747 + 0.123106i 0.00219889 + 0.00868323i
\(202\) 8.85939 + 1.47837i 0.623344 + 0.104018i
\(203\) 1.11572 1.51799i 0.0783079 0.106542i
\(204\) 0.144662 0.386375i 0.0101284 0.0270516i
\(205\) −4.50909 + 32.5172i −0.314929 + 2.27110i
\(206\) 9.74479 + 4.59868i 0.678952 + 0.320405i
\(207\) −4.51808 + 12.0673i −0.314028 + 0.838732i
\(208\) −0.135999 + 0.537048i −0.00942984 + 0.0372376i
\(209\) −6.97156 1.07633i −0.482233 0.0744514i
\(210\) −1.58843 6.27257i −0.109612 0.432849i
\(211\) 22.7443 + 2.51734i 1.56578 + 0.173301i 0.850666 0.525706i \(-0.176199\pi\)
0.715115 + 0.699007i \(0.246374\pi\)
\(212\) 9.87202 + 2.79154i 0.678013 + 0.191724i
\(213\) 7.92627 7.71080i 0.543099 0.528335i
\(214\) 13.4419 0.741609i 0.918867 0.0506953i
\(215\) 24.4521 + 15.0306i 1.66762 + 1.02508i
\(216\) −3.31410 5.07261i −0.225496 0.345148i
\(217\) −0.0925186 + 1.11653i −0.00628057 + 0.0757953i
\(218\) 2.27183 + 6.06780i 0.153868 + 0.410963i
\(219\) −40.0625 + 4.43411i −2.70717 + 0.299630i
\(220\) 6.00997 + 1.00289i 0.405192 + 0.0676146i
\(221\) 0.0322087 0.0734285i 0.00216659 0.00493934i
\(222\) −4.06706 + 29.3295i −0.272963 + 1.96847i
\(223\) 15.6427 9.61552i 1.04751 0.643903i 0.110742 0.993849i \(-0.464677\pi\)
0.936770 + 0.349946i \(0.113800\pi\)
\(224\) 0.495450 0.343537i 0.0331036 0.0229535i
\(225\) 40.0658 24.6284i 2.67105 1.64189i
\(226\) 11.1748 + 5.27350i 0.743335 + 0.350788i
\(227\) 10.8567 24.7508i 0.720586 1.64277i −0.0446351 0.999003i \(-0.514213\pi\)
0.765221 0.643767i \(-0.222630\pi\)
\(228\) −9.89741 7.51189i −0.655472 0.497487i
\(229\) 9.41536 + 21.4649i 0.622184 + 1.41844i 0.890445 + 0.455091i \(0.150393\pi\)
−0.268260 + 0.963346i \(0.586449\pi\)
\(230\) 0.260798 9.46128i 0.0171965 0.623859i
\(231\) 0.830249 + 2.65445i 0.0546264 + 0.174650i
\(232\) 0.0861002 + 3.12356i 0.00565276 + 0.205072i
\(233\) 11.9764 10.4303i 0.784601 0.683310i −0.168587 0.985687i \(-0.553920\pi\)
0.953188 + 0.302377i \(0.0977801\pi\)
\(234\) −1.41980 2.45917i −0.0928156 0.160761i
\(235\) −12.1392 + 13.1867i −0.791877 + 0.860208i
\(236\) −1.54545 + 0.530554i −0.100600 + 0.0345361i
\(237\) −1.04493 37.9082i −0.0678757 2.46240i
\(238\) −0.0789136 + 0.0372402i −0.00511521 + 0.00241393i
\(239\) −12.3800 + 18.9490i −0.800793 + 1.22571i 0.169918 + 0.985458i \(0.445650\pi\)
−0.970712 + 0.240248i \(0.922771\pi\)
\(240\) 8.46938 + 6.59198i 0.546696 + 0.425511i
\(241\) −1.10310 2.94626i −0.0710572 0.189785i 0.896163 0.443726i \(-0.146344\pi\)
−0.967220 + 0.253940i \(0.918273\pi\)
\(242\) 8.33013 + 0.921978i 0.535481 + 0.0592670i
\(243\) −12.4659 2.79368i −0.799689 0.179214i
\(244\) −0.0862366 + 3.12850i −0.00552073 + 0.200282i
\(245\) 12.4933 21.6391i 0.798169 1.38247i
\(246\) 13.5943 20.8076i 0.866739 1.32664i
\(247\) −1.84020 1.56367i −0.117089 0.0994940i
\(248\) −1.01639 1.55569i −0.0645406 0.0987867i
\(249\) −6.13207 + 0.338316i −0.388604 + 0.0214399i
\(250\) −9.99398 + 12.1350i −0.632075 + 0.767486i
\(251\) 6.18505 + 5.38657i 0.390397 + 0.339997i 0.829567 0.558407i \(-0.188587\pi\)
−0.439170 + 0.898404i \(0.644728\pi\)
\(252\) −0.592434 + 3.03293i −0.0373198 + 0.191057i
\(253\) 0.112100 + 4.06677i 0.00704766 + 0.255676i
\(254\) −12.3406 6.67842i −0.774321 0.419041i
\(255\) −1.05204 1.14282i −0.0658814 0.0715663i
\(256\) −0.298515 + 0.954405i −0.0186572 + 0.0596503i
\(257\) 4.61783 4.49229i 0.288052 0.280222i −0.539049 0.842274i \(-0.681216\pi\)
0.827101 + 0.562053i \(0.189988\pi\)
\(258\) −11.8857 18.1924i −0.739971 1.13261i
\(259\) 4.94210 3.84659i 0.307087 0.239016i
\(260\) 1.57294 + 1.36987i 0.0975494 + 0.0849558i
\(261\) −11.4802 11.1681i −0.710608 0.691290i
\(262\) 5.58584 + 9.67496i 0.345094 + 0.597721i
\(263\) −13.7704 9.54821i −0.849122 0.588768i 0.0633114 0.997994i \(-0.479834\pi\)
−0.912433 + 0.409226i \(0.865799\pi\)
\(264\) −3.79098 2.62861i −0.233319 0.161780i
\(265\) 26.1606 28.4180i 1.60703 1.74570i
\(266\) 0.392608 + 2.59849i 0.0240723 + 0.159324i
\(267\) 10.1911 + 11.0705i 0.623688 + 0.677505i
\(268\) 0.00611910 + 0.0441277i 0.000373783 + 0.00269553i
\(269\) −7.34950 0.813442i −0.448107 0.0495965i −0.116877 0.993146i \(-0.537288\pi\)
−0.331230 + 0.943550i \(0.607464\pi\)
\(270\) −22.6748 + 2.50965i −1.37995 + 0.152732i
\(271\) 6.16820 + 12.1887i 0.374692 + 0.740411i 0.999174 0.0406277i \(-0.0129358\pi\)
−0.624483 + 0.781039i \(0.714690\pi\)
\(272\) 0.0653516 0.129138i 0.00396253 0.00783016i
\(273\) −0.233728 + 0.922970i −0.0141458 + 0.0558607i
\(274\) −4.75681 + 10.8444i −0.287369 + 0.655136i
\(275\) 8.79405 11.9647i 0.530301 0.721501i
\(276\) −3.23568 + 6.39388i −0.194765 + 0.384866i
\(277\) −10.9319 + 1.82422i −0.656836 + 0.109606i −0.483621 0.875278i \(-0.660679\pi\)
−0.173215 + 0.984884i \(0.555415\pi\)
\(278\) 2.18439 + 4.97991i 0.131011 + 0.298675i
\(279\) 9.29438 + 2.08292i 0.556440 + 0.124701i
\(280\) −0.311784 2.24842i −0.0186326 0.134369i
\(281\) −4.07084 + 13.0152i −0.242846 + 0.776421i 0.750461 + 0.660915i \(0.229832\pi\)
−0.993307 + 0.115506i \(0.963151\pi\)
\(282\) 12.5726 5.10656i 0.748689 0.304091i
\(283\) −14.8393 + 18.0183i −0.882104 + 1.07108i 0.114873 + 0.993380i \(0.463354\pi\)
−0.996977 + 0.0776989i \(0.975243\pi\)
\(284\) 3.06131 2.38271i 0.181655 0.141388i
\(285\) −42.0611 + 20.4785i −2.49149 + 1.21304i
\(286\) −0.707510 0.550677i −0.0418359 0.0325622i
\(287\) −5.12962 + 1.14958i −0.302792 + 0.0678573i
\(288\) −2.31440 4.57338i −0.136377 0.269489i
\(289\) 10.0556 13.6811i 0.591505 0.804772i
\(290\) 10.6395 + 5.02092i 0.624775 + 0.294838i
\(291\) −15.9015 + 11.0258i −0.932162 + 0.646347i
\(292\) −14.1401 −0.827487
\(293\) −5.75783 −0.336376 −0.168188 0.985755i \(-0.553792\pi\)
−0.168188 + 0.985755i \(0.553792\pi\)
\(294\) −15.5462 + 10.7795i −0.906671 + 0.628671i
\(295\) −0.844999 + 6.09369i −0.0491977 + 0.354788i
\(296\) −2.54999 + 10.0697i −0.148215 + 0.585288i
\(297\) 9.67217 1.61400i 0.561236 0.0936538i
\(298\) −23.0493 + 6.51771i −1.33521 + 0.377561i
\(299\) −0.696349 + 1.20611i −0.0402709 + 0.0697512i
\(300\) 23.6535 11.1624i 1.36564 0.644459i
\(301\) −0.881132 + 4.51090i −0.0507876 + 0.260004i
\(302\) −13.5201 13.1525i −0.777994 0.756844i
\(303\) −22.5175 + 12.1858i −1.29359 + 0.700059i
\(304\) −3.16113 3.00121i −0.181303 0.172131i
\(305\) 10.3632 + 5.60827i 0.593394 + 0.321129i
\(306\) 0.221453 + 0.708024i 0.0126596 + 0.0404750i
\(307\) 4.93055 8.53996i 0.281401 0.487401i −0.690329 0.723496i \(-0.742534\pi\)
0.971730 + 0.236095i \(0.0758675\pi\)
\(308\) 0.187051 + 0.957596i 0.0106582 + 0.0545641i
\(309\) −29.9723 + 6.71696i −1.70507 + 0.382115i
\(310\) −6.95404 + 0.769672i −0.394963 + 0.0437145i
\(311\) −3.57963 14.1356i −0.202982 0.801558i −0.984165 0.177256i \(-0.943278\pi\)
0.781183 0.624303i \(-0.214617\pi\)
\(312\) −0.634360 1.44620i −0.0359136 0.0818747i
\(313\) −4.13196 + 1.16841i −0.233552 + 0.0660422i −0.386868 0.922135i \(-0.626443\pi\)
0.153316 + 0.988177i \(0.451005\pi\)
\(314\) −0.832538 4.26213i −0.0469829 0.240526i
\(315\) 9.18156 + 7.14629i 0.517322 + 0.402648i
\(316\) 1.09860 13.2582i 0.0618012 0.745830i
\(317\) 20.8022 20.2366i 1.16837 1.13660i 0.180133 0.983642i \(-0.442347\pi\)
0.988232 0.152961i \(-0.0488810\pi\)
\(318\) −27.0945 + 11.0048i −1.51938 + 0.617121i
\(319\) −4.68517 1.90295i −0.262319 0.106545i
\(320\) 2.69871 + 2.62534i 0.150862 + 0.146761i
\(321\) −28.9389 + 25.2029i −1.61521 + 1.40669i
\(322\) 1.43351 0.492123i 0.0798861 0.0274249i
\(323\) 0.379784 + 0.503754i 0.0211317 + 0.0280296i
\(324\) 1.79261 + 0.615405i 0.0995896 + 0.0341892i
\(325\) 4.70955 1.91285i 0.261239 0.106106i
\(326\) −19.4657 + 1.07395i −1.07810 + 0.0594807i
\(327\) −15.7342 9.67180i −0.870105 0.534852i
\(328\) 5.54306 6.73056i 0.306064 0.371633i
\(329\) −2.65915 1.08005i −0.146603 0.0595452i
\(330\) −15.2752 + 8.26655i −0.840875 + 0.455059i
\(331\) −0.294039 + 0.319412i −0.0161619 + 0.0175565i −0.743752 0.668455i \(-0.766956\pi\)
0.727591 + 0.686012i \(0.240640\pi\)
\(332\) −2.15119 0.118684i −0.118062 0.00651364i
\(333\) −26.6214 46.1096i −1.45884 2.52679i
\(334\) −0.00309047 + 0.00167248i −0.000169103 + 9.15140e-5i
\(335\) 0.158644 + 0.0544625i 0.00866763 + 0.00297560i
\(336\) −0.513027 + 1.64024i −0.0279879 + 0.0894823i
\(337\) −28.7056 8.11717i −1.56369 0.442170i −0.623222 0.782045i \(-0.714177\pi\)
−0.940471 + 0.339875i \(0.889615\pi\)
\(338\) 4.45067 + 11.8872i 0.242085 + 0.646579i
\(339\) −34.3706 + 7.70263i −1.86675 + 0.418349i
\(340\) −0.322722 0.439080i −0.0175021 0.0238124i
\(341\) 2.96631 0.494990i 0.160635 0.0268052i
\(342\) 22.3405 0.271840i 1.20804 0.0146994i
\(343\) 8.10932 + 1.35321i 0.437862 + 0.0730663i
\(344\) −3.44222 6.80202i −0.185592 0.366740i
\(345\) 15.9786 + 21.7396i 0.860258 + 1.17042i
\(346\) 15.2476 4.31161i 0.819716 0.231794i
\(347\) −0.650740 + 23.6076i −0.0349336 + 1.26732i 0.755652 + 0.654973i \(0.227320\pi\)
−0.790586 + 0.612351i \(0.790224\pi\)
\(348\) −5.66254 6.87565i −0.303544 0.368573i
\(349\) −2.73841 2.97471i −0.146584 0.159233i 0.658111 0.752921i \(-0.271356\pi\)
−0.804695 + 0.593688i \(0.797671\pi\)
\(350\) −5.23214 1.79620i −0.279670 0.0960107i
\(351\) 3.11009 + 1.26321i 0.166004 + 0.0674251i
\(352\) −1.22040 1.06284i −0.0650473 0.0566498i
\(353\) −0.819044 9.88440i −0.0435933 0.526093i −0.983039 0.183396i \(-0.941291\pi\)
0.939446 0.342697i \(-0.111341\pi\)
\(354\) 2.54755 3.89932i 0.135401 0.207246i
\(355\) −2.80006 14.3347i −0.148612 0.760809i
\(356\) 3.12621 + 4.25337i 0.165689 + 0.225428i
\(357\) 0.112313 0.221937i 0.00594424 0.0117461i
\(358\) −3.10381 + 8.28991i −0.164042 + 0.438135i
\(359\) 22.4513 13.8008i 1.18493 0.728377i 0.216170 0.976356i \(-0.430644\pi\)
0.968765 + 0.247979i \(0.0797664\pi\)
\(360\) −19.2982 −1.01710
\(361\) 17.8151 6.60473i 0.937636 0.347617i
\(362\) 18.8216 0.989243
\(363\) −20.3527 + 12.5108i −1.06824 + 0.656646i
\(364\) −0.117115 + 0.312801i −0.00613851 + 0.0163952i
\(365\) −24.0387 + 47.5017i −1.25824 + 2.48635i
\(366\) −5.28354 7.18851i −0.276175 0.375750i
\(367\) −2.40365 12.3053i −0.125469 0.642333i −0.990150 0.140011i \(-0.955286\pi\)
0.864681 0.502322i \(-0.167521\pi\)
\(368\) −1.37497 + 2.10455i −0.0716752 + 0.109707i
\(369\) 3.69063 + 44.5393i 0.192127 + 2.31862i
\(370\) 29.4926 + 25.6851i 1.53325 + 1.33531i
\(371\) 5.73057 + 2.32756i 0.297516 + 0.120841i
\(372\) 5.01013 + 1.71998i 0.259763 + 0.0891767i
\(373\) −15.2150 16.5279i −0.787804 0.855784i 0.204595 0.978847i \(-0.434412\pi\)
−0.992399 + 0.123063i \(0.960728\pi\)
\(374\) 0.148903 + 0.180803i 0.00769959 + 0.00934909i
\(375\) 1.23478 44.7955i 0.0637637 2.31323i
\(376\) 4.58089 1.29535i 0.236242 0.0668028i
\(377\) −1.02522 1.39487i −0.0528017 0.0718393i
\(378\) −1.64951 3.25952i −0.0848416 0.167652i
\(379\) −8.05469 1.34409i −0.413742 0.0690413i −0.0459370 0.998944i \(-0.514627\pi\)
−0.367805 + 0.929903i \(0.619891\pi\)
\(380\) −15.4562 + 5.51723i −0.792885 + 0.283028i
\(381\) 39.4530 6.58354i 2.02124 0.337285i
\(382\) −13.3130 18.1130i −0.681152 0.926741i
\(383\) −5.14825 + 1.15375i −0.263063 + 0.0589539i −0.348217 0.937414i \(-0.613213\pi\)
0.0851537 + 0.996368i \(0.472862\pi\)
\(384\) −0.999511 2.66957i −0.0510061 0.136231i
\(385\) 3.53490 + 0.999576i 0.180155 + 0.0509431i
\(386\) 0.00928936 0.0296998i 0.000472816 0.00151168i
\(387\) 36.9577 + 12.6876i 1.87867 + 0.644947i
\(388\) −5.97004 + 3.23083i −0.303083 + 0.164020i
\(389\) 18.4387 + 31.9368i 0.934881 + 1.61926i 0.774845 + 0.632151i \(0.217828\pi\)
0.160036 + 0.987111i \(0.448839\pi\)
\(390\) −5.93673 0.327539i −0.300618 0.0165856i
\(391\) 0.246424 0.267688i 0.0124622 0.0135375i
\(392\) −5.83664 + 3.15863i −0.294795 + 0.159535i
\(393\) −29.5046 11.9837i −1.48831 0.604500i
\(394\) 6.01332 7.30157i 0.302947 0.367848i
\(395\) −42.6713 26.2300i −2.14703 1.31977i
\(396\) 8.28241 0.456953i 0.416207 0.0229628i
\(397\) 22.1464 8.99511i 1.11150 0.451451i 0.254657 0.967032i \(-0.418038\pi\)
0.856841 + 0.515580i \(0.172424\pi\)
\(398\) 5.13737 + 1.76366i 0.257513 + 0.0884044i
\(399\) −5.43272 5.15787i −0.271976 0.258216i
\(400\) 8.67829 2.97926i 0.433914 0.148963i
\(401\) 13.1221 11.4281i 0.655287 0.570690i −0.263881 0.964555i \(-0.585003\pi\)
0.919168 + 0.393865i \(0.128862\pi\)
\(402\) −0.0910256 0.0885511i −0.00453995 0.00441653i
\(403\) 0.953818 + 0.387407i 0.0475130 + 0.0192981i
\(404\) −8.32167 + 3.37997i −0.414018 + 0.168160i
\(405\) 5.11487 4.97583i 0.254160 0.247251i
\(406\) −0.155572 + 1.87747i −0.00772090 + 0.0931774i
\(407\) −13.2658 10.3252i −0.657563 0.511802i
\(408\) 0.0790937 + 0.404916i 0.00391572 + 0.0200463i
\(409\) −5.61328 + 1.58729i −0.277559 + 0.0784862i −0.408038 0.912965i \(-0.633787\pi\)
0.130479 + 0.991451i \(0.458348\pi\)
\(410\) −13.1870 30.0633i −0.651260 1.48472i
\(411\) −8.28655 32.7228i −0.408745 1.61410i
\(412\) −10.7100 + 1.18538i −0.527643 + 0.0583995i
\(413\) −0.961285 + 0.215429i −0.0473018 + 0.0106006i
\(414\) −2.47025 12.6463i −0.121406 0.621533i
\(415\) −4.05580 + 7.02485i −0.199091 + 0.344836i
\(416\) −0.165377 0.528741i −0.00810829 0.0259237i
\(417\) −13.6328 7.37771i −0.667602 0.361288i
\(418\) 6.50285 2.73387i 0.318065 0.133718i
\(419\) −6.07828 + 3.28940i −0.296944 + 0.160698i −0.617588 0.786502i \(-0.711890\pi\)
0.320644 + 0.947200i \(0.396101\pi\)
\(420\) 4.63799 + 4.51191i 0.226311 + 0.220159i
\(421\) −2.24014 + 11.4682i −0.109178 + 0.558928i 0.886234 + 0.463238i \(0.153313\pi\)
−0.995411 + 0.0956896i \(0.969494\pi\)
\(422\) −20.6946 + 9.76600i −1.00740 + 0.475401i
\(423\) −12.2004 + 21.1317i −0.593202 + 1.02746i
\(424\) −9.87202 + 2.79154i −0.479427 + 0.135569i
\(425\) −1.30987 + 0.218579i −0.0635382 + 0.0106027i
\(426\) −2.71461 + 10.7198i −0.131523 + 0.519374i
\(427\) −0.259171 + 1.86901i −0.0125422 + 0.0904476i
\(428\) −11.0630 + 7.67093i −0.534752 + 0.370789i
\(429\) 2.55568 0.123390
\(430\) −28.7024 −1.38415
\(431\) 16.8657 11.6944i 0.812391 0.563300i −0.0891372 0.996019i \(-0.528411\pi\)
0.901528 + 0.432720i \(0.142446\pi\)
\(432\) 5.47974 + 2.58595i 0.263644 + 0.124417i
\(433\) −2.09266 + 2.84717i −0.100567 + 0.136826i −0.853139 0.521684i \(-0.825304\pi\)
0.752572 + 0.658510i \(0.228813\pi\)
\(434\) −0.505880 0.999647i −0.0242830 0.0479846i
\(435\) −32.7243 + 7.33369i −1.56901 + 0.351624i
\(436\) −5.11296 3.97958i −0.244866 0.190587i
\(437\) −5.59396 9.42237i −0.267595 0.450733i
\(438\) 31.8080 24.7571i 1.51984 1.18294i
\(439\) −16.0715 + 19.5145i −0.767051 + 0.931378i −0.999146 0.0413150i \(-0.986845\pi\)
0.232096 + 0.972693i \(0.425442\pi\)
\(440\) −5.64520 + 2.29288i −0.269124 + 0.109309i
\(441\) 10.1544 32.4654i 0.483543 1.54597i
\(442\) 0.0110133 + 0.0794220i 0.000523848 + 0.00377772i
\(443\) 3.21142 + 0.719695i 0.152579 + 0.0341938i 0.294301 0.955713i \(-0.404913\pi\)
−0.141722 + 0.989906i \(0.545264\pi\)
\(444\) −11.8943 27.1162i −0.564477 1.28688i
\(445\) 19.6033 3.27121i 0.929285 0.155070i
\(446\) −8.29092 + 16.3833i −0.392586 + 0.775772i
\(447\) 40.4375 55.0172i 1.91263 2.60223i
\(448\) −0.242182 + 0.552120i −0.0114420 + 0.0260852i
\(449\) 0.723254 2.85607i 0.0341325 0.134786i −0.949989 0.312285i \(-0.898906\pi\)
0.984121 + 0.177499i \(0.0568005\pi\)
\(450\) −21.2356 + 41.9628i −1.00106 + 1.97814i
\(451\) 6.37146 + 12.5903i 0.300020 + 0.592856i
\(452\) −12.2816 + 1.35933i −0.577678 + 0.0639374i
\(453\) 53.4413 + 5.91488i 2.51089 + 0.277905i
\(454\) 3.71229 + 26.7711i 0.174226 + 1.25643i
\(455\) 0.851712 + 0.925206i 0.0399289 + 0.0433743i
\(456\) 12.3656 + 1.21652i 0.579071 + 0.0569687i
\(457\) 24.2385 26.3300i 1.13383 1.23167i 0.164372 0.986398i \(-0.447440\pi\)
0.969456 0.245267i \(-0.0788756\pi\)
\(458\) −19.2617 13.3558i −0.900040 0.624074i
\(459\) −0.720677 0.499707i −0.0336383 0.0233243i
\(460\) 4.73244 + 8.19682i 0.220651 + 0.382179i
\(461\) −12.3969 12.0599i −0.577383 0.561687i 0.349548 0.936919i \(-0.386335\pi\)
−0.926931 + 0.375231i \(0.877563\pi\)
\(462\) −2.09737 1.82660i −0.0975785 0.0849812i
\(463\) 22.1729 17.2579i 1.03046 0.802042i 0.0500008 0.998749i \(-0.484078\pi\)
0.980462 + 0.196708i \(0.0630250\pi\)
\(464\) −1.70907 2.61593i −0.0793417 0.121441i
\(465\) 14.2954 13.9068i 0.662935 0.644913i
\(466\) −4.74089 + 15.1575i −0.219618 + 0.702157i
\(467\) 10.3145 + 11.2045i 0.477298 + 0.518484i 0.927186 0.374601i \(-0.122220\pi\)
−0.449888 + 0.893085i \(0.648536\pi\)
\(468\) 2.49736 + 1.35150i 0.115441 + 0.0624733i
\(469\) 0.000740087 0.0268490i 3.41740e−5 0.00123977i
\(470\) 3.43612 17.5910i 0.158497 0.811414i
\(471\) 9.33512 + 8.12996i 0.430139 + 0.374609i
\(472\) 1.03876 1.26130i 0.0478129 0.0580560i
\(473\) 12.3185 0.679630i 0.566405 0.0312494i
\(474\) 20.7417 + 31.7475i 0.952698 + 1.45821i
\(475\) −5.01101 + 39.6796i −0.229921 + 1.82063i
\(476\) 0.0477263 0.0730506i 0.00218753 0.00334827i
\(477\) 26.2923 45.5396i 1.20384 2.08511i
\(478\) 0.623682 22.6260i 0.0285266 1.03489i
\(479\) 8.04621 + 1.80320i 0.367641 + 0.0823902i 0.398586 0.917131i \(-0.369501\pi\)
−0.0309455 + 0.999521i \(0.509852\pi\)
\(480\) −10.6673 1.18065i −0.486892 0.0538892i
\(481\) −2.01781 5.38933i −0.0920043 0.245732i
\(482\) 2.48263 + 1.93231i 0.113081 + 0.0880144i
\(483\) −2.36302 + 3.61687i −0.107521 + 0.164573i
\(484\) −7.57941 + 3.57681i −0.344519 + 0.162582i
\(485\) 0.704227 + 25.5481i 0.0319773 + 1.16008i
\(486\) 12.0829 4.14807i 0.548093 0.188160i
\(487\) 14.6656 15.9311i 0.664562 0.721907i −0.308814 0.951123i \(-0.599932\pi\)
0.973376 + 0.229216i \(0.0736162\pi\)
\(488\) −1.56485 2.71039i −0.0708373 0.122694i
\(489\) 41.9075 36.4972i 1.89512 1.65046i
\(490\) 0.688491 + 24.9772i 0.0311028 + 1.12835i
\(491\) 10.0917 + 32.2649i 0.455431 + 1.45609i 0.844836 + 0.535026i \(0.179698\pi\)
−0.389405 + 0.921067i \(0.627319\pi\)
\(492\) −0.684857 + 24.8453i −0.0308757 + 1.12011i
\(493\) 0.181668 + 0.414161i 0.00818190 + 0.0186529i
\(494\) 2.38656 + 0.368458i 0.107376 + 0.0165777i
\(495\) 12.5453 28.6005i 0.563870 1.28549i
\(496\) 1.68055 + 0.793073i 0.0754591 + 0.0356100i
\(497\) 1.99249 1.22478i 0.0893754 0.0549389i
\(498\) 5.04686 3.49942i 0.226155 0.156813i
\(499\) −18.6618 + 11.4714i −0.835416 + 0.513528i −0.874113 0.485723i \(-0.838557\pi\)
0.0386969 + 0.999251i \(0.487679\pi\)
\(500\) 2.15929 15.5716i 0.0965662 0.696385i
\(501\) 0.00402372 0.00917315i 0.000179766 0.000409826i
\(502\) −8.08997 1.34998i −0.361073 0.0602524i
\(503\) 27.9601 3.09462i 1.24668 0.137982i 0.537654 0.843166i \(-0.319311\pi\)
0.709025 + 0.705183i \(0.249135\pi\)
\(504\) −1.08356 2.89406i −0.0482655 0.128911i
\(505\) −2.79259 + 33.7016i −0.124269 + 1.49970i
\(506\) −2.22516 3.40586i −0.0989204 0.151409i
\(507\) −30.8244 18.9477i −1.36896 0.841496i
\(508\) 14.0105 0.772983i 0.621617 0.0342956i
\(509\) −31.9921 + 31.1224i −1.41802 + 1.37948i −0.606619 + 0.794993i \(0.707475\pi\)
−0.811406 + 0.584483i \(0.801297\pi\)
\(510\) 1.49472 + 0.422667i 0.0661873 + 0.0187160i
\(511\) −8.47333 0.937828i −0.374838 0.0414871i
\(512\) −0.245485 0.969400i −0.0108490 0.0428418i
\(513\) −20.6436 + 16.4748i −0.911439 + 0.727380i
\(514\) −1.58153 + 6.24530i −0.0697581 + 0.275468i
\(515\) −14.2252 + 37.9939i −0.626839 + 1.67421i
\(516\) 19.6525 + 9.27425i 0.865154 + 0.408276i
\(517\) −1.05819 + 7.63109i −0.0465390 + 0.335615i
\(518\) −2.19592 + 5.86503i −0.0964830 + 0.257695i
\(519\) −26.7503 + 36.3951i −1.17421 + 1.59757i
\(520\) −2.05738 0.343316i −0.0902221 0.0150554i
\(521\) 10.1579 + 40.1128i 0.445027 + 1.75737i 0.631961 + 0.775000i \(0.282250\pi\)
−0.186934 + 0.982373i \(0.559855\pi\)
\(522\) 15.6287 + 3.50247i 0.684048 + 0.153299i
\(523\) 19.6641 + 23.8768i 0.859853 + 1.04406i 0.998556 + 0.0537273i \(0.0171102\pi\)
−0.138703 + 0.990334i \(0.544293\pi\)
\(524\) −9.82520 5.31713i −0.429216 0.232280i
\(525\) 14.9145 5.12015i 0.650921 0.223462i
\(526\) 16.7314 + 0.923100i 0.729526 + 0.0402491i
\(527\) −0.221021 0.153253i −0.00962783 0.00667579i
\(528\) 4.60614 + 0.254128i 0.200456 + 0.0110595i
\(529\) 12.5788 10.9548i 0.546902 0.476298i
\(530\) −7.40499 + 37.9094i −0.321652 + 1.64668i
\(531\) 0.691621 + 8.34662i 0.0300138 + 0.362212i
\(532\) −1.69523 2.00810i −0.0734974 0.0870624i
\(533\) −0.398899 + 4.81399i −0.0172782 + 0.208517i
\(534\) −14.4794 4.09437i −0.626583 0.177181i
\(535\) 6.96190 + 50.2056i 0.300989 + 2.17058i
\(536\) −0.0283215 0.0343889i −0.00122330 0.00148537i
\(537\) −7.53237 24.0823i −0.325046 1.03923i
\(538\) 6.68716 3.15575i 0.288304 0.136054i
\(539\) −0.886910 10.7034i −0.0382019 0.461028i
\(540\) 18.0029 14.0122i 0.774721 0.602990i
\(541\) 12.3568 + 7.59570i 0.531261 + 0.326565i 0.763197 0.646166i \(-0.223629\pi\)
−0.231936 + 0.972731i \(0.574506\pi\)
\(542\) −11.6377 7.15367i −0.499882 0.307276i
\(543\) −42.3390 + 32.9537i −1.81694 + 1.41418i
\(544\) 0.0119519 + 0.144238i 0.000512435 + 0.00618417i
\(545\) −22.0611 + 10.4109i −0.944992 + 0.445953i
\(546\) −0.284217 0.908693i −0.0121634 0.0388885i
\(547\) 1.65717 + 2.01219i 0.0708555 + 0.0860351i 0.806145 0.591718i \(-0.201550\pi\)
−0.735289 + 0.677753i \(0.762954\pi\)
\(548\) −1.62652 11.7296i −0.0694814 0.501063i
\(549\) 15.4364 + 4.36500i 0.658810 + 0.186294i
\(550\) −1.22621 + 14.7982i −0.0522859 + 0.630998i
\(551\) 13.5185 1.66297i 0.575909 0.0708447i
\(552\) −0.591762 7.14151i −0.0251871 0.303963i
\(553\) 1.53766 7.87197i 0.0653880 0.334750i
\(554\) 8.35783 7.27884i 0.355090 0.309248i
\(555\) −111.314 6.14136i −4.72501 0.260686i
\(556\) −4.46877 3.09858i −0.189518 0.131409i
\(557\) −34.7044 1.91470i −1.47047 0.0811283i −0.697965 0.716132i \(-0.745911\pi\)
−0.772509 + 0.635003i \(0.780999\pi\)
\(558\) −9.00883 + 3.09273i −0.381374 + 0.130926i
\(559\) 3.71435 + 2.01010i 0.157100 + 0.0850183i
\(560\) 1.44305 + 1.75220i 0.0609801 + 0.0740440i
\(561\) −0.651513 0.146007i −0.0275069 0.00616444i
\(562\) −3.34768 13.2197i −0.141213 0.557639i
\(563\) 5.03293 + 0.839848i 0.212113 + 0.0353954i 0.269697 0.962945i \(-0.413077\pi\)
−0.0575840 + 0.998341i \(0.518340\pi\)
\(564\) −8.03669 + 10.9343i −0.338406 + 0.460418i
\(565\) −16.3127 + 43.5693i −0.686280 + 1.83297i
\(566\) 3.20615 23.1211i 0.134765 0.971852i
\(567\) 1.03339 + 0.487669i 0.0433983 + 0.0204802i
\(568\) −1.36023 + 3.63300i −0.0570738 + 0.152437i
\(569\) 8.87324 35.0396i 0.371985 1.46894i −0.446694 0.894687i \(-0.647399\pi\)
0.818680 0.574250i \(-0.194706\pi\)
\(570\) 25.1086 39.4723i 1.05169 1.65331i
\(571\) −6.96876 27.5190i −0.291633 1.15163i −0.925670 0.378332i \(-0.876498\pi\)
0.634037 0.773303i \(-0.281397\pi\)
\(572\) 0.891116 + 0.0986287i 0.0372594 + 0.00412387i
\(573\) 61.6604 + 17.4359i 2.57590 + 0.728395i
\(574\) 3.76802 3.66559i 0.157274 0.152999i
\(575\) 23.0310 1.27066i 0.960461 0.0529901i
\(576\) 4.36664 + 2.68416i 0.181943 + 0.111840i
\(577\) −0.251521 0.384982i −0.0104710 0.0160270i 0.831893 0.554937i \(-0.187257\pi\)
−0.842364 + 0.538910i \(0.818836\pi\)
\(578\) −1.40212 + 16.9211i −0.0583205 + 0.703823i
\(579\) 0.0311034 + 0.0830734i 0.00129261 + 0.00345241i
\(580\) −11.6933 + 1.29422i −0.485540 + 0.0537395i
\(581\) −1.28121 0.213796i −0.0531534 0.00886974i
\(582\) 7.77285 17.7203i 0.322195 0.734531i
\(583\) 2.28044 16.4453i 0.0944460 0.681095i
\(584\) 12.0462 7.40479i 0.498477 0.306412i
\(585\) 8.78580 6.09194i 0.363248 0.251871i
\(586\) 4.90521 3.01522i 0.202632 0.124558i
\(587\) 35.0984 + 16.5634i 1.44867 + 0.683643i 0.979865 0.199660i \(-0.0639838\pi\)
0.468803 + 0.883303i \(0.344686\pi\)
\(588\) 7.59916 17.3243i 0.313384 0.714444i
\(589\) −6.33110 + 5.05258i −0.260868 + 0.208188i
\(590\) −2.47123 5.63383i −0.101739 0.231941i
\(591\) −0.742959 + 26.9532i −0.0305613 + 1.10871i
\(592\) −3.10083 9.91390i −0.127443 0.407459i
\(593\) 0.793505 + 28.7869i 0.0325853 + 1.18214i 0.822444 + 0.568846i \(0.192610\pi\)
−0.789859 + 0.613289i \(0.789846\pi\)
\(594\) −7.39470 + 6.44005i −0.303408 + 0.264239i
\(595\) −0.164267 0.284519i −0.00673429 0.0116641i
\(596\) 16.2230 17.6228i 0.664519 0.721860i
\(597\) −14.6443 + 5.02741i −0.599353 + 0.205758i
\(598\) −0.0383749 1.39217i −0.00156927 0.0569300i
\(599\) 9.79732 4.62347i 0.400308 0.188910i −0.216039 0.976385i \(-0.569314\pi\)
0.616347 + 0.787475i \(0.288612\pi\)
\(600\) −14.3055 + 21.8961i −0.584018 + 0.893906i
\(601\) −35.2809 27.4602i −1.43914 1.12013i −0.971733 0.236082i \(-0.924137\pi\)
−0.467404 0.884044i \(-0.654811\pi\)
\(602\) −1.61158 4.30435i −0.0656833 0.175432i
\(603\) 0.226961 + 0.0251201i 0.00924258 + 0.00102297i
\(604\) 18.4057 + 4.12480i 0.748916 + 0.167836i
\(605\) −0.869469 + 31.5427i −0.0353489 + 1.28239i
\(606\) 12.8017 22.1731i 0.520032 0.900723i
\(607\) 0.687264 1.05194i 0.0278952 0.0426968i −0.822947 0.568119i \(-0.807671\pi\)
0.850842 + 0.525422i \(0.176092\pi\)
\(608\) 4.26468 + 0.901387i 0.172956 + 0.0365561i
\(609\) −2.93721 4.49573i −0.119022 0.182176i
\(610\) −11.7655 + 0.649120i −0.476371 + 0.0262821i
\(611\) −1.67661 + 2.03580i −0.0678285 + 0.0823596i
\(612\) −0.559433 0.487211i −0.0226137 0.0196943i
\(613\) 1.70217 8.71415i 0.0687499 0.351961i −0.931170 0.364584i \(-0.881211\pi\)
0.999920 + 0.0126230i \(0.00401813\pi\)
\(614\) 0.271716 + 9.85735i 0.0109656 + 0.397810i
\(615\) 82.3002 + 44.5387i 3.31867 + 1.79597i
\(616\) −0.660819 0.717841i −0.0266252 0.0289226i
\(617\) −4.90195 + 15.6724i −0.197345 + 0.630947i 0.802086 + 0.597209i \(0.203724\pi\)
−0.999431 + 0.0337382i \(0.989259\pi\)
\(618\) 22.0165 21.4180i 0.885635 0.861559i
\(619\) 21.2085 + 32.4620i 0.852441 + 1.30476i 0.950863 + 0.309613i \(0.100200\pi\)
−0.0984218 + 0.995145i \(0.531379\pi\)
\(620\) 5.52122 4.29734i 0.221738 0.172585i
\(621\) 11.4868 + 10.0039i 0.460950 + 0.401441i
\(622\) 10.4520 + 10.1679i 0.419087 + 0.407694i
\(623\) 1.59126 + 2.75613i 0.0637523 + 0.110422i
\(624\) 1.29776 + 0.899845i 0.0519519 + 0.0360226i
\(625\) −10.9391 7.58498i −0.437562 0.303399i
\(626\) 2.90823 3.15918i 0.116236 0.126266i
\(627\) −9.84149 + 17.5353i −0.393031 + 0.700292i
\(628\) 2.94122 + 3.19502i 0.117367 + 0.127495i
\(629\) 0.206499 + 1.48916i 0.00823367 + 0.0593769i
\(630\) −11.5643 1.27993i −0.460731 0.0509938i
\(631\) 22.8522 2.52928i 0.909731 0.100689i 0.357053 0.934084i \(-0.383782\pi\)
0.552678 + 0.833395i \(0.313606\pi\)
\(632\) 6.00702 + 11.8702i 0.238946 + 0.472171i
\(633\) 29.4534 58.2015i 1.17067 2.31330i
\(634\) −7.12437 + 28.1335i −0.282945 + 1.11732i
\(635\) 21.2217 48.3806i 0.842157 1.91992i
\(636\) 17.3194 23.5639i 0.686759 0.934369i
\(637\) 1.66012 3.28049i 0.0657764 0.129978i
\(638\) 4.98791 0.832335i 0.197473 0.0329524i
\(639\) −7.98726 18.2091i −0.315971 0.720342i
\(640\) −3.67390 0.823340i −0.145224 0.0325454i
\(641\) 4.94195 + 35.6388i 0.195195 + 1.40765i 0.794567 + 0.607176i \(0.207698\pi\)
−0.599372 + 0.800471i \(0.704583\pi\)
\(642\) 11.4555 36.6253i 0.452113 1.44549i
\(643\) −32.2940 + 13.1167i −1.27355 + 0.517271i −0.910118 0.414349i \(-0.864009\pi\)
−0.363432 + 0.931621i \(0.618395\pi\)
\(644\) −0.963519 + 1.16994i −0.0379680 + 0.0461020i
\(645\) 64.5655 50.2534i 2.54227 1.97872i
\(646\) −0.587347 0.230275i −0.0231089 0.00906005i
\(647\) 12.1927 + 9.48993i 0.479343 + 0.373088i 0.824871 0.565321i \(-0.191248\pi\)
−0.345528 + 0.938408i \(0.612300\pi\)
\(648\) −1.84943 + 0.414468i −0.0726526 + 0.0162818i
\(649\) 1.19400 + 2.35942i 0.0468688 + 0.0926152i
\(650\) −3.01045 + 4.09586i −0.118079 + 0.160653i
\(651\) 2.88820 + 1.36297i 0.113197 + 0.0534191i
\(652\) 16.0208 11.1086i 0.627423 0.435045i
\(653\) −20.0028 −0.782769 −0.391384 0.920227i \(-0.628004\pi\)
−0.391384 + 0.920227i \(0.628004\pi\)
\(654\) 18.4692 0.722201
\(655\) −34.5654 + 23.9671i −1.35058 + 0.936472i
\(656\) −1.19763 + 8.63665i −0.0467594 + 0.337204i
\(657\) −17.7921 + 70.2594i −0.694136 + 2.74108i
\(658\) 2.83097 0.472406i 0.110363 0.0184163i
\(659\) −19.4235 + 5.49245i −0.756633 + 0.213955i −0.628508 0.777803i \(-0.716334\pi\)
−0.128124 + 0.991758i \(0.540896\pi\)
\(660\) 8.68431 15.0417i 0.338036 0.585496i
\(661\) 26.5690 12.5382i 1.03341 0.487680i 0.166449 0.986050i \(-0.446770\pi\)
0.866964 + 0.498370i \(0.166068\pi\)
\(662\) 0.0832305 0.426094i 0.00323484 0.0165606i
\(663\) −0.163830 0.159376i −0.00636263 0.00618966i
\(664\) 1.89479 1.02541i 0.0735321 0.0397936i
\(665\) −9.62790 + 2.28104i −0.373354 + 0.0884548i
\(666\) 46.8256 + 25.3408i 1.81446 + 0.981934i
\(667\) −2.34491 7.49711i −0.0907954 0.290289i
\(668\) 0.00175700 0.00304321i 6.79804e−5 0.000117745i
\(669\) −10.0343 51.3701i −0.387949 1.98608i
\(670\) −0.163672 + 0.0366798i −0.00632321 + 0.00141706i
\(671\) 5.03415 0.557179i 0.194341 0.0215097i
\(672\) −0.421891 1.66601i −0.0162748 0.0642677i
\(673\) −19.3863 44.1964i −0.747288 1.70365i −0.709856 0.704346i \(-0.751240\pi\)
−0.0374319 0.999299i \(-0.511918\pi\)
\(674\) 28.7056 8.11717i 1.10570 0.312662i
\(675\) −10.6584 54.5652i −0.410243 2.10021i
\(676\) −10.0166 7.79625i −0.385255 0.299856i
\(677\) 0.973317 11.7462i 0.0374076 0.451443i −0.951982 0.306155i \(-0.900958\pi\)
0.989389 0.145288i \(-0.0464109\pi\)
\(678\) 25.2473 24.5610i 0.969617 0.943258i
\(679\) −3.79177 + 1.54009i −0.145515 + 0.0591031i
\(680\) 0.504868 + 0.205060i 0.0193608 + 0.00786367i
\(681\) −55.2228 53.7215i −2.11614 2.05861i
\(682\) −2.26785 + 1.97507i −0.0868403 + 0.0756293i
\(683\) −11.2230 + 3.85287i −0.429437 + 0.147426i −0.530940 0.847409i \(-0.678161\pi\)
0.101503 + 0.994835i \(0.467635\pi\)
\(684\) −18.8900 + 11.9307i −0.722276 + 0.456182i
\(685\) −42.1691 14.4767i −1.61120 0.553125i
\(686\) −7.61713 + 3.09381i −0.290823 + 0.118122i
\(687\) 66.7128 3.68065i 2.54525 0.140425i
\(688\) 6.49453 + 3.99217i 0.247602 + 0.152200i
\(689\) 3.61317 4.38723i 0.137651 0.167140i
\(690\) −24.9969 10.1529i −0.951617 0.386513i
\(691\) 12.6478 6.84464i 0.481144 0.260382i −0.217223 0.976122i \(-0.569700\pi\)
0.698367 + 0.715740i \(0.253910\pi\)
\(692\) −10.7319 + 11.6579i −0.407964 + 0.443167i
\(693\) 4.99346 + 0.275497i 0.189686 + 0.0104653i
\(694\) −11.8083 20.4526i −0.448237 0.776369i
\(695\) −18.0063 + 9.74453i −0.683018 + 0.369631i
\(696\) 8.42462 + 2.89218i 0.319334 + 0.109628i
\(697\) 0.376715 1.20443i 0.0142691 0.0456209i
\(698\) 3.89068 + 1.10018i 0.147265 + 0.0416425i
\(699\) −15.8738 42.3971i −0.600403 1.60361i
\(700\) 5.39798 1.20972i 0.204024 0.0457230i
\(701\) 17.1267 + 23.3017i 0.646866 + 0.880093i 0.998427 0.0560718i \(-0.0178576\pi\)
−0.351560 + 0.936165i \(0.614349\pi\)
\(702\) −3.31105 + 0.552517i −0.124968 + 0.0208534i
\(703\) 44.7480 + 6.90860i 1.68770 + 0.260563i
\(704\) 1.59626 + 0.266369i 0.0601614 + 0.0100392i
\(705\) 23.0697 + 45.5869i 0.868854 + 1.71690i
\(706\) 5.87395 + 7.99180i 0.221069 + 0.300775i
\(707\) −5.21086 + 1.47349i −0.195974 + 0.0554163i
\(708\) −0.128341 + 4.65599i −0.00482337 + 0.174983i
\(709\) −23.8412 28.9488i −0.895377 1.08720i −0.995736 0.0922444i \(-0.970596\pi\)
0.100360 0.994951i \(-0.468001\pi\)
\(710\) 9.89214 + 10.7457i 0.371245 + 0.403280i
\(711\) −64.4949 22.1411i −2.41875 0.830357i
\(712\) −4.89066 1.98641i −0.183285 0.0744440i
\(713\) 3.52283 + 3.06804i 0.131931 + 0.114899i
\(714\) 0.0205406 + 0.247888i 0.000768711 + 0.00927696i
\(715\) 1.84626 2.82591i 0.0690462 0.105683i
\(716\) −1.69700 8.68772i −0.0634200 0.324675i
\(717\) 38.2117 + 51.9889i 1.42704 + 1.94156i
\(718\) −11.8996 + 23.5143i −0.444090 + 0.877545i
\(719\) −10.7129 + 28.6128i −0.399522 + 1.06708i 0.569908 + 0.821708i \(0.306979\pi\)
−0.969430 + 0.245367i \(0.921091\pi\)
\(720\) 16.4405 10.1059i 0.612702 0.376626i
\(721\) −6.49648 −0.241941
\(722\) −11.7183 + 14.9560i −0.436110 + 0.556604i
\(723\) −8.96783 −0.333517
\(724\) −16.0345 + 9.85637i −0.595918 + 0.366309i
\(725\) −10.0531 + 26.8506i −0.373362 + 0.997206i
\(726\) 10.7873 21.3164i 0.400356 0.791125i
\(727\) −4.65859 6.33824i −0.172778 0.235072i 0.710758 0.703437i \(-0.248352\pi\)
−0.883535 + 0.468364i \(0.844843\pi\)
\(728\) −0.0640327 0.327812i −0.00237321 0.0121495i
\(729\) −23.0276 + 35.2464i −0.852876 + 1.30542i
\(730\) −4.39635 53.0561i −0.162716 1.96369i
\(731\) −0.832049 0.724632i −0.0307744 0.0268015i
\(732\) 8.26558 + 3.35719i 0.305505 + 0.124085i
\(733\) 30.5756 + 10.4966i 1.12934 + 0.387701i 0.825151 0.564912i \(-0.191090\pi\)
0.304184 + 0.952613i \(0.401616\pi\)
\(734\) 8.49169 + 9.22443i 0.313434 + 0.340480i
\(735\) −45.2799 54.9803i −1.67017 2.02798i
\(736\) 0.0692687 2.51294i 0.00255328 0.0926281i
\(737\) 0.0693764 0.0196178i 0.00255551 0.000722630i
\(738\) −26.4682 36.0112i −0.974306 1.32559i
\(739\) 15.4367 + 30.5038i 0.567850 + 1.12210i 0.977711 + 0.209954i \(0.0673314\pi\)
−0.409862 + 0.912148i \(0.634423\pi\)
\(740\) −38.5759 6.43718i −1.41808 0.236636i
\(741\) −6.01364 + 3.34965i −0.220917 + 0.123052i
\(742\) −6.10086 + 1.01805i −0.223970 + 0.0373739i
\(743\) −11.1965 15.2334i −0.410759 0.558858i 0.550383 0.834912i \(-0.314482\pi\)
−0.961142 + 0.276054i \(0.910973\pi\)
\(744\) −5.16893 + 1.15838i −0.189502 + 0.0424684i
\(745\) −31.6219 84.4583i −1.15854 3.09431i
\(746\) 21.6172 + 6.11276i 0.791462 + 0.223804i
\(747\) −3.29649 + 10.5395i −0.120612 + 0.385619i
\(748\) −0.221535 0.0760530i −0.00810012 0.00278077i
\(749\) −7.13819 + 3.86299i −0.260824 + 0.141151i
\(750\) 22.4062 + 38.8088i 0.818160 + 1.41710i
\(751\) 13.1414 + 0.725029i 0.479535 + 0.0264567i 0.293243 0.956038i \(-0.405265\pi\)
0.186292 + 0.982494i \(0.440353\pi\)
\(752\) −3.22421 + 3.50243i −0.117575 + 0.127720i
\(753\) 20.5619 11.1275i 0.749316 0.405510i
\(754\) 1.60386 + 0.651432i 0.0584092 + 0.0237238i
\(755\) 45.1470 54.8190i 1.64307 1.99507i
\(756\) 3.11217 + 1.91305i 0.113189 + 0.0695768i
\(757\) −15.2380 + 0.840703i −0.553834 + 0.0305559i −0.329844 0.944036i \(-0.606996\pi\)
−0.223990 + 0.974591i \(0.571908\pi\)
\(758\) 7.56581 3.07297i 0.274803 0.111615i
\(759\) 10.9686 + 3.76552i 0.398135 + 0.136680i
\(760\) 10.2782 12.7942i 0.372829 0.464095i
\(761\) −40.1289 + 13.7763i −1.45467 + 0.499389i −0.934899 0.354915i \(-0.884510\pi\)
−0.519773 + 0.854304i \(0.673984\pi\)
\(762\) −30.1631 + 26.2691i −1.09270 + 0.951629i
\(763\) −2.79995 2.72384i −0.101365 0.0986095i
\(764\) 20.8269 + 8.45915i 0.753490 + 0.306041i
\(765\) −2.58777 + 1.05106i −0.0935611 + 0.0380012i
\(766\) 3.78171 3.67890i 0.136639 0.132924i
\(767\) −0.0747531 + 0.902136i −0.00269918 + 0.0325743i
\(768\) 2.24949 + 1.75085i 0.0811713 + 0.0631782i
\(769\) −4.21285 21.5674i −0.151919 0.777742i −0.977085 0.212851i \(-0.931725\pi\)
0.825166 0.564891i \(-0.191082\pi\)
\(770\) −3.53490 + 0.999576i −0.127389 + 0.0360222i
\(771\) −7.37694 16.8177i −0.265674 0.605676i
\(772\) 0.00763917 + 0.0301664i 0.000274940 + 0.00108571i
\(773\) 29.7033 3.28756i 1.06835 0.118245i 0.441407 0.897307i \(-0.354480\pi\)
0.626947 + 0.779062i \(0.284304\pi\)
\(774\) −38.1291 + 8.54494i −1.37052 + 0.307142i
\(775\) −3.26878 16.7343i −0.117418 0.601115i
\(776\) 3.39410 5.87875i 0.121841 0.211035i
\(777\) −5.32908 17.0380i −0.191180 0.611235i
\(778\) −32.4328 17.5517i −1.16277 0.629260i
\(779\) −31.4941 21.2748i −1.12839 0.762248i
\(780\) 5.22914 2.82987i 0.187233 0.101326i
\(781\) −4.49995 4.37762i −0.161021 0.156644i
\(782\) −0.0697525 + 0.357094i −0.00249434 + 0.0127696i
\(783\) −17.1228 + 8.08043i −0.611918 + 0.288771i
\(784\) 3.31826 5.74739i 0.118509 0.205264i
\(785\) 15.7334 4.44898i 0.561549 0.158791i
\(786\) 31.4111 5.24159i 1.12040 0.186961i
\(787\) 10.9699 43.3193i 0.391036 1.54417i −0.390677 0.920528i \(-0.627759\pi\)
0.781713 0.623638i \(-0.214346\pi\)
\(788\) −1.29923 + 9.36937i −0.0462831 + 0.333770i
\(789\) −39.2534 + 27.2177i −1.39746 + 0.968975i
\(790\) 50.0884 1.78207
\(791\) −7.44979 −0.264884
\(792\) −6.81665 + 4.72656i −0.242219 + 0.167951i
\(793\) 1.56802 + 0.739967i 0.0556820 + 0.0262770i
\(794\) −14.1565 + 19.2606i −0.502395 + 0.683533i
\(795\) −49.7161 98.2416i −1.76325 3.48427i
\(796\) −5.30021 + 1.18780i −0.187861 + 0.0421006i
\(797\) 20.3628 + 15.8490i 0.721288 + 0.561401i 0.906963 0.421210i \(-0.138395\pi\)
−0.185675 + 0.982611i \(0.559447\pi\)
\(798\) 7.32927 + 1.54912i 0.259453 + 0.0548383i
\(799\) 0.543720 0.423194i 0.0192354 0.0149715i
\(800\) −5.83304 + 7.08267i −0.206229 + 0.250410i
\(801\) 25.0678 10.1816i 0.885726 0.359751i
\(802\) −5.19442 + 16.6075i −0.183421 + 0.586431i
\(803\) 3.14312 + 22.6665i 0.110918 + 0.799884i
\(804\) 0.123918 + 0.0277707i 0.00437026 + 0.000979399i
\(805\) 2.29222 + 5.22575i 0.0807903 + 0.184183i
\(806\) −1.01545 + 0.169449i −0.0357677 + 0.00596858i
\(807\) −9.51745 + 18.8070i −0.335030 + 0.662037i
\(808\) 5.31939 7.23729i 0.187136 0.254607i
\(809\) −10.8822 + 24.8089i −0.382598 + 0.872235i 0.613960 + 0.789337i \(0.289575\pi\)
−0.996558 + 0.0828979i \(0.973582\pi\)
\(810\) −1.75176 + 6.91752i −0.0615504 + 0.243057i
\(811\) −6.79187 + 13.4211i −0.238495 + 0.471278i −0.979824 0.199863i \(-0.935950\pi\)
0.741329 + 0.671142i \(0.234196\pi\)
\(812\) −0.850647 1.68092i −0.0298519 0.0589889i
\(813\) 38.7038 4.28374i 1.35740 0.150237i
\(814\) 16.7085 + 1.84929i 0.585631 + 0.0648176i
\(815\) −10.0818 72.7046i −0.353150 2.54673i
\(816\) −0.279425 0.303536i −0.00978182 0.0106259i
\(817\) −28.0952 + 17.7446i −0.982926 + 0.620806i
\(818\) 3.95085 4.29176i 0.138138 0.150058i
\(819\) 1.40688 + 0.975512i 0.0491605 + 0.0340871i
\(820\) 26.9776 + 18.7059i 0.942099 + 0.653237i
\(821\) 10.3588 + 17.9419i 0.361524 + 0.626178i 0.988212 0.153092i \(-0.0489232\pi\)
−0.626688 + 0.779270i \(0.715590\pi\)
\(822\) 24.1955 + 23.5378i 0.843916 + 0.820974i
\(823\) 17.7410 + 15.4506i 0.618411 + 0.538575i 0.908211 0.418512i \(-0.137448\pi\)
−0.289800 + 0.957087i \(0.593589\pi\)
\(824\) 8.50329 6.61838i 0.296226 0.230562i
\(825\) −23.1510 35.4353i −0.806015 1.23370i
\(826\) 0.706123 0.686927i 0.0245692 0.0239013i
\(827\) 6.15320 19.6729i 0.213968 0.684093i −0.784023 0.620732i \(-0.786835\pi\)
0.997991 0.0633614i \(-0.0201821\pi\)
\(828\) 8.72699 + 9.48004i 0.303284 + 0.329454i
\(829\) 22.4877 + 12.1697i 0.781029 + 0.422672i 0.816969 0.576682i \(-0.195653\pi\)
−0.0359394 + 0.999354i \(0.511442\pi\)
\(830\) −0.223510 8.10851i −0.00775813 0.281451i
\(831\) −6.05669 + 31.0069i −0.210104 + 1.07562i
\(832\) 0.417775 + 0.363841i 0.0144838 + 0.0126139i
\(833\) −0.610626 + 0.741442i −0.0211569 + 0.0256894i
\(834\) 15.4776 0.853921i 0.535944 0.0295689i
\(835\) −0.00723629 0.0110760i −0.000250422 0.000383300i
\(836\) −4.10825 + 5.73440i −0.142087 + 0.198328i
\(837\) 6.15855 9.42636i 0.212871 0.325823i
\(838\) 3.45564 5.98534i 0.119373 0.206760i
\(839\) 0.124115 4.50267i 0.00428493 0.155449i −0.994452 0.105196i \(-0.966453\pi\)
0.998736 0.0502537i \(-0.0160030\pi\)
\(840\) −6.31396 1.41499i −0.217852 0.0488218i
\(841\) −19.1192 2.11612i −0.659284 0.0729695i
\(842\) −4.09719 10.9431i −0.141199 0.377125i
\(843\) 30.6762 + 23.8762i 1.05654 + 0.822341i
\(844\) 12.5159 19.1570i 0.430815 0.659412i
\(845\) −43.2191 + 20.3956i −1.48678 + 0.701629i
\(846\) −0.672346 24.3915i −0.0231157 0.838596i
\(847\) −4.77912 + 1.64067i −0.164213 + 0.0563742i
\(848\) 6.94831 7.54787i 0.238606 0.259195i
\(849\) 33.2693 + 57.6241i 1.14180 + 1.97765i
\(850\) 1.00144 0.872157i 0.0343492 0.0299147i
\(851\) −0.719530 26.1032i −0.0246652 0.894806i
\(852\) −3.30101 10.5539i −0.113091 0.361572i
\(853\) 0.363510 13.1875i 0.0124464 0.451531i −0.967569 0.252608i \(-0.918712\pi\)
0.980015 0.198923i \(-0.0637444\pi\)
\(854\) −0.757956 1.72796i −0.0259367 0.0591297i
\(855\) 7.96596 + 83.7409i 0.272430 + 2.86388i
\(856\) 5.40775 12.3284i 0.184833 0.421377i
\(857\) −17.2731 8.15135i −0.590037 0.278445i 0.108411 0.994106i \(-0.465424\pi\)
−0.698448 + 0.715661i \(0.746125\pi\)
\(858\) −2.17724 + 1.33834i −0.0743296 + 0.0456903i
\(859\) 30.3902 21.0721i 1.03690 0.718970i 0.0763506 0.997081i \(-0.475673\pi\)
0.960549 + 0.278111i \(0.0897083\pi\)
\(860\) 24.4521 15.0306i 0.833809 0.512541i
\(861\) −2.05824 + 14.8429i −0.0701445 + 0.505845i
\(862\) −8.24416 + 18.7948i −0.280797 + 0.640153i
\(863\) −8.92933 1.49004i −0.303958 0.0507216i 0.0106501 0.999943i \(-0.496610\pi\)
−0.314608 + 0.949222i \(0.601873\pi\)
\(864\) −6.02249 + 0.666569i −0.204889 + 0.0226771i
\(865\) 20.9186 + 55.8710i 0.711253 + 1.89967i
\(866\) 0.291794 3.52143i 0.00991557 0.119663i
\(867\) −26.4721 40.5186i −0.899040 1.37608i
\(868\) 0.954457 + 0.586703i 0.0323964 + 0.0199140i
\(869\) −21.4970 + 1.18602i −0.729235 + 0.0402330i
\(870\) 24.0380 23.3846i 0.814965 0.792811i
\(871\) 0.0237494 + 0.00671570i 0.000804719 + 0.000227553i
\(872\) 6.43983 + 0.712760i 0.218080 + 0.0241371i
\(873\) 8.54140 + 33.7292i 0.289083 + 1.14156i
\(874\) 9.69984 + 5.09770i 0.328102 + 0.172432i
\(875\) 2.32670 9.18795i 0.0786570 0.310609i
\(876\) −14.1332 + 37.7481i −0.477516 + 1.27539i
\(877\) 3.57993 + 1.68941i 0.120886 + 0.0570474i 0.486265 0.873811i \(-0.338359\pi\)
−0.365379 + 0.930859i \(0.619061\pi\)
\(878\) 3.47238 25.0410i 0.117187 0.845093i
\(879\) −5.75501 + 15.3710i −0.194112 + 0.518449i
\(880\) 3.60853 4.90959i 0.121644 0.165502i
\(881\) −37.9615 6.33465i −1.27895 0.213420i −0.514160 0.857694i \(-0.671896\pi\)
−0.764794 + 0.644275i \(0.777159\pi\)
\(882\) 8.35053 + 32.9755i 0.281177 + 1.11034i
\(883\) −25.4582 5.70531i −0.856735 0.191999i −0.231885 0.972743i \(-0.574489\pi\)
−0.624850 + 0.780744i \(0.714840\pi\)
\(884\) −0.0509736 0.0618938i −0.00171443 0.00208171i
\(885\) 15.4230 + 8.34649i 0.518437 + 0.280564i
\(886\) −3.11275 + 1.06861i −0.104575 + 0.0359006i
\(887\) 51.1804 + 2.82370i 1.71847 + 0.0948105i 0.887295 0.461203i \(-0.152582\pi\)
0.831173 + 0.556013i \(0.187670\pi\)
\(888\) 24.3330 + 16.8721i 0.816561 + 0.566191i
\(889\) 8.44695 + 0.466031i 0.283302 + 0.0156302i
\(890\) −14.9874 + 13.0525i −0.502378 + 0.437521i
\(891\) 0.588022 3.01035i 0.0196995 0.100850i
\(892\) −1.51630 18.2990i −0.0507694 0.612695i
\(893\) −7.51185 19.3432i −0.251375 0.647296i
\(894\) −5.63847 + 68.0463i −0.188579 + 2.27581i
\(895\) −32.0702 9.06858i −1.07199 0.303129i
\(896\) −0.0828105 0.597186i −0.00276650 0.0199506i
\(897\) 2.52380 + 3.06448i 0.0842671 + 0.102320i
\(898\) 0.879490 + 2.81189i 0.0293490 + 0.0938339i
\(899\) −5.25130 + 2.47815i −0.175141 + 0.0826509i
\(900\) −3.88371 46.8694i −0.129457 1.56231i
\(901\) −1.17174 + 0.912001i −0.0390363 + 0.0303832i
\(902\) −12.0212 7.38940i −0.400262 0.246040i
\(903\) 11.1615 + 6.86094i 0.371431 + 0.228318i
\(904\) 9.75109 7.58958i 0.324316 0.252426i
\(905\) 5.85190 + 70.6219i 0.194524 + 2.34755i
\(906\) −48.6252 + 22.9468i −1.61546 + 0.762355i
\(907\) 7.62306 + 24.3723i 0.253119 + 0.809268i 0.990944 + 0.134275i \(0.0428707\pi\)
−0.737825 + 0.674992i \(0.764147\pi\)
\(908\) −17.1819 20.8628i −0.570200 0.692356i
\(909\) 6.32348 + 45.6016i 0.209737 + 1.51251i
\(910\) −1.21010 0.342182i −0.0401143 0.0113432i
\(911\) 2.69213 32.4892i 0.0891943 1.07641i −0.794160 0.607709i \(-0.792089\pi\)
0.883354 0.468706i \(-0.155280\pi\)
\(912\) −11.1715 + 5.43914i −0.369926 + 0.180108i
\(913\) 0.287924 + 3.47472i 0.00952889 + 0.114997i
\(914\) −6.86092 + 35.1241i −0.226939 + 1.16180i
\(915\) 25.3298 22.0597i 0.837377 0.729272i
\(916\) 23.4035 + 1.29120i 0.773272 + 0.0426626i
\(917\) −5.53501 3.83789i −0.182782 0.126738i
\(918\) 0.875642 + 0.0483105i 0.0289005 + 0.00159448i
\(919\) 36.5713 12.5549i 1.20638 0.414149i 0.353088 0.935590i \(-0.385132\pi\)
0.853288 + 0.521441i \(0.174605\pi\)
\(920\) −8.32411 4.50478i −0.274438 0.148518i
\(921\) −17.8699 21.6982i −0.588834 0.714981i
\(922\) 16.8767 + 3.78215i 0.555803 + 0.124558i
\(923\) −0.527580 2.08337i −0.0173655 0.0685749i
\(924\) 2.74333 + 0.457781i 0.0902490 + 0.0150599i
\(925\) −56.4460 + 76.7975i −1.85593 + 2.52509i
\(926\) −9.85206 + 26.3137i −0.323759 + 0.864721i
\(927\) −7.58614 + 54.7073i −0.249162 + 1.79682i
\(928\) 2.82588 + 1.33357i 0.0927642 + 0.0437765i
\(929\) −8.88772 + 23.7381i −0.291597 + 0.778820i 0.705913 + 0.708298i \(0.250537\pi\)
−0.997510 + 0.0705222i \(0.977533\pi\)
\(930\) −4.89593 + 19.3336i −0.160544 + 0.633974i
\(931\) 16.1155 + 24.0232i 0.528165 + 0.787327i
\(932\) −3.89870 15.3956i −0.127706 0.504301i
\(933\) −41.3140 4.57263i −1.35256 0.149701i
\(934\) −14.6546 4.14394i −0.479515 0.135594i
\(935\) −0.632107 + 0.614923i −0.0206721 + 0.0201101i
\(936\) −2.83530 + 0.156428i −0.0926746 + 0.00511300i
\(937\) −13.7587 8.45743i −0.449477 0.276292i 0.280384 0.959888i \(-0.409538\pi\)
−0.729861 + 0.683596i \(0.760415\pi\)
\(938\) −0.0146906 0.0224856i −0.000479664 0.000734181i
\(939\) −1.01079 + 12.1984i −0.0329858 + 0.398080i
\(940\) 6.28465 + 16.7855i 0.204983 + 0.547484i
\(941\) 3.75531 0.415637i 0.122420 0.0135494i −0.0485897 0.998819i \(-0.515473\pi\)
0.171009 + 0.985269i \(0.445297\pi\)
\(942\) −12.2102 2.03752i −0.397830 0.0663861i
\(943\) −8.80490 + 20.0732i −0.286727 + 0.653672i
\(944\) −0.224434 + 1.61850i −0.00730469 + 0.0526776i
\(945\) 11.7174 7.20267i 0.381168 0.234303i
\(946\) −10.1385 + 7.02985i −0.329630 + 0.228560i
\(947\) 8.35600 5.13642i 0.271534 0.166911i −0.381213 0.924487i \(-0.624494\pi\)
0.652747 + 0.757576i \(0.273616\pi\)
\(948\) −34.2956 16.1845i −1.11387 0.525647i
\(949\) −3.14673 + 7.17382i −0.102147 + 0.232872i
\(950\) −16.5102 36.4280i −0.535661 1.18188i
\(951\) −33.2313 75.7596i −1.07760 2.45667i
\(952\) −0.00240437 + 0.0872262i −7.79262e−5 + 0.00282702i
\(953\) 3.53334 + 11.2967i 0.114456 + 0.365937i 0.993931 0.110009i \(-0.0350881\pi\)
−0.879474 + 0.475946i \(0.842106\pi\)
\(954\) 1.44893 + 52.5646i 0.0469110 + 1.70184i
\(955\) 63.8238 55.5842i 2.06529 1.79866i
\(956\) 11.3173 + 19.6022i 0.366028 + 0.633979i
\(957\) −9.76294 + 10.6054i −0.315591 + 0.342823i
\(958\) −7.79901 + 2.67740i −0.251974 + 0.0865029i
\(959\) −0.196723 7.13673i −0.00635250 0.230457i
\(960\) 9.70593 4.58034i 0.313258 0.147830i
\(961\) −15.0667 + 23.0612i −0.486021 + 0.743911i
\(962\) 4.54126 + 3.53461i 0.146416 + 0.113960i
\(963\) 24.1951 + 64.6221i 0.779675 + 2.08242i
\(964\) −3.12690 0.346085i −0.100711 0.0111467i
\(965\) 0.114327 + 0.0256212i 0.00368031 + 0.000824776i
\(966\) 0.119045 4.31873i 0.00383021 0.138953i
\(967\) 11.2258 19.4437i 0.360999 0.625268i −0.627127 0.778917i \(-0.715769\pi\)
0.988126 + 0.153649i \(0.0491025\pi\)
\(968\) 4.58397 7.01629i 0.147334 0.225512i
\(969\) 1.72441 0.510354i 0.0553959 0.0163949i
\(970\) −13.9788 21.3961i −0.448831 0.686987i
\(971\) 15.0403 0.829794i 0.482665 0.0266294i 0.187878 0.982192i \(-0.439839\pi\)
0.294787 + 0.955563i \(0.404751\pi\)
\(972\) −8.12145 + 9.86133i −0.260496 + 0.316302i
\(973\) −2.47236 2.15318i −0.0792602 0.0690278i
\(974\) −4.15123 + 21.2520i −0.133014 + 0.680957i
\(975\) −0.399260 14.4844i −0.0127866 0.463872i
\(976\) 2.75248 + 1.48957i 0.0881048 + 0.0476799i
\(977\) −24.6498 26.7768i −0.788618 0.856667i 0.203872 0.978998i \(-0.434647\pi\)
−0.992489 + 0.122330i \(0.960963\pi\)
\(978\) −16.5892 + 53.0385i −0.530463 + 1.69598i
\(979\) 6.12322 5.95676i 0.195699 0.190379i
\(980\) −13.6664 20.9180i −0.436557 0.668201i
\(981\) −26.2072 + 20.3979i −0.836733 + 0.651255i
\(982\) −25.4935 22.2023i −0.813531 0.708505i
\(983\) 40.3568 + 39.2597i 1.28718 + 1.25219i 0.950557 + 0.310550i \(0.100513\pi\)
0.336624 + 0.941639i \(0.390715\pi\)
\(984\) −12.4274 21.5249i −0.396171 0.686188i
\(985\) 29.2664 + 20.2928i 0.932504 + 0.646584i
\(986\) −0.371651 0.257697i −0.0118358 0.00820675i
\(987\) −5.54112 + 6.01926i −0.176376 + 0.191595i
\(988\) −2.22611 + 0.935879i −0.0708218 + 0.0297743i
\(989\) 12.9797 + 14.0997i 0.412731 + 0.448345i
\(990\) 4.28968 + 30.9349i 0.136335 + 0.983176i
\(991\) −48.4574 5.36327i −1.53930 0.170370i −0.700042 0.714102i \(-0.746835\pi\)
−0.839259 + 0.543732i \(0.817011\pi\)
\(992\) −1.84701 + 0.204427i −0.0586425 + 0.00649056i
\(993\) 0.558798 + 1.10422i 0.0177329 + 0.0350412i
\(994\) −1.05606 + 2.08683i −0.0334961 + 0.0661901i
\(995\) −5.02028 + 19.8246i −0.159153 + 0.628483i
\(996\) −2.46697 + 5.62412i −0.0781689 + 0.178207i
\(997\) −14.6959 + 19.9945i −0.465423 + 0.633231i −0.973665 0.227984i \(-0.926787\pi\)
0.508242 + 0.861214i \(0.330296\pi\)
\(998\) 9.89110 19.5453i 0.313097 0.618697i
\(999\) −62.0823 + 10.3597i −1.96420 + 0.327767i
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 722.2.i.a.505.15 576
361.178 even 57 inner 722.2.i.a.539.15 yes 576
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
722.2.i.a.505.15 576 1.1 even 1 trivial
722.2.i.a.539.15 yes 576 361.178 even 57 inner