Properties

Label 966.2.y.a.25.3
Level $966$
Weight $2$
Character 966.25
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(25,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.y (of order \(33\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(8\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 25.3
Character \(\chi\) \(=\) 966.25
Dual form 966.2.y.a.541.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(-0.582238 - 2.40002i) q^{5} +(0.415415 - 0.909632i) q^{6} +(-0.0849128 + 2.64439i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +O(q^{10})\) \(q+(-0.0475819 + 0.998867i) q^{2} +(-0.928368 - 0.371662i) q^{3} +(-0.995472 - 0.0950560i) q^{4} +(-0.582238 - 2.40002i) q^{5} +(0.415415 - 0.909632i) q^{6} +(-0.0849128 + 2.64439i) q^{7} +(0.142315 - 0.989821i) q^{8} +(0.723734 + 0.690079i) q^{9} +(2.42500 - 0.467381i) q^{10} +(0.130882 + 2.74755i) q^{11} +(0.888835 + 0.458227i) q^{12} +(-3.43427 - 3.96336i) q^{13} +(-2.63735 - 0.210642i) q^{14} +(-0.351465 + 2.44450i) q^{15} +(0.981929 + 0.189251i) q^{16} +(1.43568 + 2.01613i) q^{17} +(-0.723734 + 0.690079i) q^{18} +(2.12227 - 2.98031i) q^{19} +(0.351465 + 2.44450i) q^{20} +(1.06165 - 2.42341i) q^{21} -2.75066 q^{22} +(0.503418 + 4.76934i) q^{23} +(-0.500000 + 0.866025i) q^{24} +(-0.976909 + 0.503632i) q^{25} +(4.12228 - 3.24180i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(0.335893 - 2.62434i) q^{28} +(0.749375 - 1.64090i) q^{29} +(-2.42500 - 0.467381i) q^{30} +(4.80987 + 3.78252i) q^{31} +(-0.235759 + 0.971812i) q^{32} +(0.899653 - 2.59938i) q^{33} +(-2.08215 + 1.33812i) q^{34} +(6.39602 - 1.33587i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(3.12256 + 2.97735i) q^{37} +(2.87595 + 2.26167i) q^{38} +(1.71524 + 4.95585i) q^{39} +(-2.45845 + 0.234754i) q^{40} +(3.48402 + 1.02300i) q^{41} +(2.37015 + 1.17576i) q^{42} +(0.851269 + 5.92070i) q^{43} +(0.130882 - 2.74755i) q^{44} +(1.23482 - 2.13877i) q^{45} +(-4.78789 + 0.275914i) q^{46} +(3.94132 + 6.82657i) q^{47} +(-0.841254 - 0.540641i) q^{48} +(-6.98558 - 0.449085i) q^{49} +(-0.456578 - 0.999767i) q^{50} +(-0.583518 - 2.40529i) q^{51} +(3.04198 + 4.27187i) q^{52} +(3.44843 + 9.96360i) q^{53} +(0.928368 - 0.371662i) q^{54} +(6.51796 - 1.91385i) q^{55} +(2.60539 + 0.460384i) q^{56} +(-3.07791 + 1.97805i) q^{57} +(1.60339 + 0.826604i) q^{58} +(-2.01471 + 0.388304i) q^{59} +(0.582238 - 2.40002i) q^{60} +(6.57336 - 2.63158i) q^{61} +(-4.00710 + 4.62444i) q^{62} +(-1.88629 + 1.85524i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-7.51258 + 10.5499i) q^{65} +(2.55363 + 1.02232i) q^{66} +(9.28575 - 4.78714i) q^{67} +(-1.23753 - 2.14347i) q^{68} +(1.30523 - 4.61480i) q^{69} +(1.03002 + 6.45234i) q^{70} +(4.14016 + 2.66072i) q^{71} +(0.786053 - 0.618159i) q^{72} +(12.6396 + 1.20694i) q^{73} +(-3.12256 + 2.97735i) q^{74} +(1.09411 - 0.104475i) q^{75} +(-2.39595 + 2.76508i) q^{76} +(-7.27669 + 0.112800i) q^{77} +(-5.03185 + 1.47749i) q^{78} +(-1.60212 + 4.62901i) q^{79} +(-0.117510 - 2.46684i) q^{80} +(0.0475819 + 0.998867i) q^{81} +(-1.18762 + 3.43139i) q^{82} +(-2.60645 + 0.765323i) q^{83} +(-1.28720 + 2.31152i) q^{84} +(4.00283 - 4.61951i) q^{85} +(-5.95450 + 0.568586i) q^{86} +(-1.30556 + 1.24485i) q^{87} +(2.73821 + 0.261467i) q^{88} +(-9.41884 + 7.40706i) q^{89} +(2.07759 + 1.33518i) q^{90} +(10.7723 - 8.74502i) q^{91} +(-0.0477845 - 4.79559i) q^{92} +(-3.05951 - 5.29922i) q^{93} +(-7.00637 + 3.61203i) q^{94} +(-8.38845 - 3.35823i) q^{95} +(0.580057 - 0.814576i) q^{96} +(-7.42556 - 2.18034i) q^{97} +(0.780963 - 6.95630i) q^{98} +(-1.80130 + 2.07881i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q - 8 q^{2} - 8 q^{3} + 8 q^{4} + 2 q^{5} - 16 q^{6} - 2 q^{7} + 16 q^{8} + 8 q^{9} - 2 q^{10} + 4 q^{11} - 8 q^{12} + 4 q^{13} - 9 q^{14} - 18 q^{15} + 8 q^{16} + 9 q^{17} - 8 q^{18} + 18 q^{20} + 7 q^{21} + 52 q^{22} + 22 q^{23} - 80 q^{24} + 42 q^{25} + 2 q^{26} + 16 q^{27} - 18 q^{28} - 54 q^{29} + 2 q^{30} - 15 q^{31} - 8 q^{32} + 18 q^{33} + 84 q^{34} + 82 q^{35} - 16 q^{36} + 3 q^{37} + 11 q^{38} + 2 q^{39} - 13 q^{40} + 22 q^{41} - 2 q^{42} - 96 q^{43} + 4 q^{44} - 20 q^{45} - 26 q^{47} + 16 q^{48} - 2 q^{49} - 4 q^{50} + 13 q^{51} - 2 q^{52} + 16 q^{53} + 8 q^{54} - 34 q^{55} + 2 q^{56} - 22 q^{57} - 5 q^{58} - 6 q^{59} - 2 q^{60} + 40 q^{61} - 8 q^{62} - 2 q^{63} - 16 q^{64} - 82 q^{65} + 4 q^{66} + 10 q^{67} - 46 q^{68} - 22 q^{69} + 100 q^{70} + 92 q^{71} - 8 q^{72} + 68 q^{73} - 3 q^{74} + 2 q^{75} - 7 q^{77} - 18 q^{78} - 78 q^{79} + 2 q^{80} + 8 q^{81} + 55 q^{82} - 42 q^{83} - 9 q^{84} + 50 q^{85} + 40 q^{86} + 6 q^{87} + 7 q^{88} - 80 q^{89} + 4 q^{90} - 62 q^{91} + 66 q^{92} + 26 q^{93} + 4 q^{94} - 17 q^{95} + 8 q^{96} - 8 q^{97} - 3 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0475819 + 0.998867i −0.0336455 + 0.706306i
\(3\) −0.928368 0.371662i −0.535993 0.214579i
\(4\) −0.995472 0.0950560i −0.497736 0.0475280i
\(5\) −0.582238 2.40002i −0.260385 1.07332i −0.940386 0.340110i \(-0.889536\pi\)
0.680001 0.733211i \(-0.261979\pi\)
\(6\) 0.415415 0.909632i 0.169592 0.371356i
\(7\) −0.0849128 + 2.64439i −0.0320940 + 0.999485i
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) 0.723734 + 0.690079i 0.241245 + 0.230026i
\(10\) 2.42500 0.467381i 0.766854 0.147799i
\(11\) 0.130882 + 2.74755i 0.0394623 + 0.828416i 0.928669 + 0.370910i \(0.120954\pi\)
−0.889206 + 0.457506i \(0.848743\pi\)
\(12\) 0.888835 + 0.458227i 0.256585 + 0.132279i
\(13\) −3.43427 3.96336i −0.952496 1.09924i −0.994973 0.100142i \(-0.968070\pi\)
0.0424767 0.999097i \(-0.486475\pi\)
\(14\) −2.63735 0.210642i −0.704862 0.0562964i
\(15\) −0.351465 + 2.44450i −0.0907480 + 0.631166i
\(16\) 0.981929 + 0.189251i 0.245482 + 0.0473128i
\(17\) 1.43568 + 2.01613i 0.348203 + 0.488982i 0.951120 0.308821i \(-0.0999345\pi\)
−0.602917 + 0.797804i \(0.705995\pi\)
\(18\) −0.723734 + 0.690079i −0.170586 + 0.162653i
\(19\) 2.12227 2.98031i 0.486881 0.683729i −0.495926 0.868365i \(-0.665171\pi\)
0.982807 + 0.184636i \(0.0591106\pi\)
\(20\) 0.351465 + 2.44450i 0.0785901 + 0.546606i
\(21\) 1.06165 2.42341i 0.231671 0.528831i
\(22\) −2.75066 −0.586443
\(23\) 0.503418 + 4.76934i 0.104970 + 0.994475i
\(24\) −0.500000 + 0.866025i −0.102062 + 0.176777i
\(25\) −0.976909 + 0.503632i −0.195382 + 0.100726i
\(26\) 4.12228 3.24180i 0.808447 0.635769i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) 0.335893 2.62434i 0.0634779 0.495954i
\(29\) 0.749375 1.64090i 0.139155 0.304708i −0.827205 0.561901i \(-0.810070\pi\)
0.966360 + 0.257193i \(0.0827975\pi\)
\(30\) −2.42500 0.467381i −0.442743 0.0853317i
\(31\) 4.80987 + 3.78252i 0.863878 + 0.679361i 0.948405 0.317060i \(-0.102696\pi\)
−0.0845276 + 0.996421i \(0.526938\pi\)
\(32\) −0.235759 + 0.971812i −0.0416767 + 0.171794i
\(33\) 0.899653 2.59938i 0.156610 0.452494i
\(34\) −2.08215 + 1.33812i −0.357086 + 0.229486i
\(35\) 6.39602 1.33587i 1.08112 0.225803i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) 3.12256 + 2.97735i 0.513345 + 0.489474i 0.901896 0.431954i \(-0.142176\pi\)
−0.388551 + 0.921427i \(0.627024\pi\)
\(38\) 2.87595 + 2.26167i 0.466540 + 0.366891i
\(39\) 1.71524 + 4.95585i 0.274658 + 0.793571i
\(40\) −2.45845 + 0.234754i −0.388715 + 0.0371178i
\(41\) 3.48402 + 1.02300i 0.544112 + 0.159766i 0.542226 0.840233i \(-0.317582\pi\)
0.00188562 + 0.999998i \(0.499400\pi\)
\(42\) 2.37015 + 1.17576i 0.365721 + 0.181423i
\(43\) 0.851269 + 5.92070i 0.129817 + 0.902899i 0.945783 + 0.324799i \(0.105297\pi\)
−0.815966 + 0.578100i \(0.803794\pi\)
\(44\) 0.130882 2.74755i 0.0197312 0.414208i
\(45\) 1.23482 2.13877i 0.184076 0.318828i
\(46\) −4.78789 + 0.275914i −0.705936 + 0.0406813i
\(47\) 3.94132 + 6.82657i 0.574901 + 0.995757i 0.996052 + 0.0887669i \(0.0282926\pi\)
−0.421152 + 0.906990i \(0.638374\pi\)
\(48\) −0.841254 0.540641i −0.121424 0.0780348i
\(49\) −6.98558 0.449085i −0.997940 0.0641550i
\(50\) −0.456578 0.999767i −0.0645699 0.141388i
\(51\) −0.583518 2.40529i −0.0817088 0.336808i
\(52\) 3.04198 + 4.27187i 0.421847 + 0.592401i
\(53\) 3.44843 + 9.96360i 0.473679 + 1.36861i 0.888573 + 0.458735i \(0.151697\pi\)
−0.414894 + 0.909870i \(0.636181\pi\)
\(54\) 0.928368 0.371662i 0.126335 0.0505769i
\(55\) 6.51796 1.91385i 0.878881 0.258063i
\(56\) 2.60539 + 0.460384i 0.348160 + 0.0615214i
\(57\) −3.07791 + 1.97805i −0.407679 + 0.262000i
\(58\) 1.60339 + 0.826604i 0.210535 + 0.108538i
\(59\) −2.01471 + 0.388304i −0.262293 + 0.0505529i −0.318702 0.947855i \(-0.603247\pi\)
0.0564090 + 0.998408i \(0.482035\pi\)
\(60\) 0.582238 2.40002i 0.0751666 0.309841i
\(61\) 6.57336 2.63158i 0.841633 0.336939i 0.0895295 0.995984i \(-0.471464\pi\)
0.752103 + 0.659045i \(0.229039\pi\)
\(62\) −4.00710 + 4.62444i −0.508902 + 0.587305i
\(63\) −1.88629 + 1.85524i −0.237650 + 0.233738i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −7.51258 + 10.5499i −0.931821 + 1.30856i
\(66\) 2.55363 + 1.02232i 0.314330 + 0.125839i
\(67\) 9.28575 4.78714i 1.13443 0.584842i 0.214426 0.976740i \(-0.431212\pi\)
0.920008 + 0.391898i \(0.128182\pi\)
\(68\) −1.23753 2.14347i −0.150073 0.259933i
\(69\) 1.30523 4.61480i 0.157131 0.555557i
\(70\) 1.03002 + 6.45234i 0.123111 + 0.771202i
\(71\) 4.14016 + 2.66072i 0.491347 + 0.315769i 0.762747 0.646697i \(-0.223850\pi\)
−0.271400 + 0.962467i \(0.587487\pi\)
\(72\) 0.786053 0.618159i 0.0926372 0.0728507i
\(73\) 12.6396 + 1.20694i 1.47936 + 0.141261i 0.803294 0.595583i \(-0.203079\pi\)
0.676063 + 0.736844i \(0.263685\pi\)
\(74\) −3.12256 + 2.97735i −0.362990 + 0.346110i
\(75\) 1.09411 0.104475i 0.126337 0.0120637i
\(76\) −2.39595 + 2.76508i −0.274835 + 0.317176i
\(77\) −7.27669 + 0.112800i −0.829256 + 0.0128548i
\(78\) −5.03185 + 1.47749i −0.569745 + 0.167292i
\(79\) −1.60212 + 4.62901i −0.180252 + 0.520804i −0.998541 0.0540031i \(-0.982802\pi\)
0.818289 + 0.574808i \(0.194923\pi\)
\(80\) −0.117510 2.46684i −0.0131380 0.275801i
\(81\) 0.0475819 + 0.998867i 0.00528688 + 0.110985i
\(82\) −1.18762 + 3.43139i −0.131150 + 0.378934i
\(83\) −2.60645 + 0.765323i −0.286095 + 0.0840051i −0.421632 0.906767i \(-0.638542\pi\)
0.135536 + 0.990772i \(0.456724\pi\)
\(84\) −1.28720 + 2.31152i −0.140445 + 0.252207i
\(85\) 4.00283 4.61951i 0.434168 0.501057i
\(86\) −5.95450 + 0.568586i −0.642090 + 0.0613122i
\(87\) −1.30556 + 1.24485i −0.139970 + 0.133462i
\(88\) 2.73821 + 0.261467i 0.291894 + 0.0278725i
\(89\) −9.41884 + 7.40706i −0.998395 + 0.785146i −0.976698 0.214618i \(-0.931149\pi\)
−0.0216967 + 0.999765i \(0.506907\pi\)
\(90\) 2.07759 + 1.33518i 0.218997 + 0.140741i
\(91\) 10.7723 8.74502i 1.12924 0.916727i
\(92\) −0.0477845 4.79559i −0.00498188 0.499975i
\(93\) −3.05951 5.29922i −0.317256 0.549503i
\(94\) −7.00637 + 3.61203i −0.722652 + 0.372553i
\(95\) −8.38845 3.35823i −0.860637 0.344547i
\(96\) 0.580057 0.814576i 0.0592018 0.0831373i
\(97\) −7.42556 2.18034i −0.753951 0.221380i −0.117898 0.993026i \(-0.537616\pi\)
−0.636053 + 0.771646i \(0.719434\pi\)
\(98\) 0.780963 6.95630i 0.0788892 0.702692i
\(99\) −1.80130 + 2.07881i −0.181038 + 0.208928i
\(100\) 1.02036 0.408490i 0.102036 0.0408490i
\(101\) 0.776290 3.19991i 0.0772438 0.318403i −0.920061 0.391776i \(-0.871861\pi\)
0.997305 + 0.0733723i \(0.0233761\pi\)
\(102\) 2.43033 0.468408i 0.240639 0.0463793i
\(103\) −2.54039 1.30966i −0.250312 0.129045i 0.328505 0.944502i \(-0.393455\pi\)
−0.578817 + 0.815457i \(0.696485\pi\)
\(104\) −4.41177 + 2.83527i −0.432610 + 0.278021i
\(105\) −6.43435 1.13698i −0.627929 0.110958i
\(106\) −10.1164 + 2.97044i −0.982591 + 0.288515i
\(107\) −9.97267 + 3.99245i −0.964094 + 0.385965i −0.799680 0.600426i \(-0.794998\pi\)
−0.164414 + 0.986391i \(0.552573\pi\)
\(108\) 0.327068 + 0.945001i 0.0314721 + 0.0909327i
\(109\) −6.10141 8.56824i −0.584409 0.820688i 0.411465 0.911425i \(-0.365017\pi\)
−0.995875 + 0.0907371i \(0.971078\pi\)
\(110\) 1.60154 + 6.60164i 0.152701 + 0.629442i
\(111\) −1.79231 3.92461i −0.170119 0.372508i
\(112\) −0.583832 + 2.58053i −0.0551669 + 0.243837i
\(113\) −5.81225 3.73531i −0.546771 0.351388i 0.237911 0.971287i \(-0.423537\pi\)
−0.784682 + 0.619899i \(0.787174\pi\)
\(114\) −1.82936 3.16854i −0.171335 0.296761i
\(115\) 11.1534 3.98510i 1.04006 0.371613i
\(116\) −0.901960 + 1.56224i −0.0837448 + 0.145050i
\(117\) 0.249533 5.23834i 0.0230693 0.484285i
\(118\) −0.292000 2.03091i −0.0268808 0.186960i
\(119\) −5.45333 + 3.62529i −0.499906 + 0.332330i
\(120\) 2.36960 + 0.695776i 0.216314 + 0.0635154i
\(121\) 3.41831 0.326409i 0.310755 0.0296735i
\(122\) 2.31582 + 6.69113i 0.209665 + 0.605787i
\(123\) −2.85424 2.24460i −0.257358 0.202389i
\(124\) −4.42854 4.22260i −0.397694 0.379201i
\(125\) −6.30881 7.28076i −0.564277 0.651211i
\(126\) −1.76338 1.97243i −0.157095 0.175718i
\(127\) 16.9153 10.8708i 1.50099 0.964629i 0.506232 0.862397i \(-0.331038\pi\)
0.994761 0.102232i \(-0.0325984\pi\)
\(128\) 0.327068 0.945001i 0.0289090 0.0835271i
\(129\) 1.41021 5.81297i 0.124162 0.511804i
\(130\) −10.1805 8.00606i −0.892892 0.702178i
\(131\) 7.01963 + 1.35292i 0.613308 + 0.118205i 0.486440 0.873714i \(-0.338295\pi\)
0.126868 + 0.991920i \(0.459507\pi\)
\(132\) −1.14267 + 2.50209i −0.0994563 + 0.217779i
\(133\) 7.70088 + 5.86516i 0.667751 + 0.508574i
\(134\) 4.33988 + 9.50301i 0.374909 + 0.820935i
\(135\) −1.94126 + 1.52663i −0.167077 + 0.131391i
\(136\) 2.19992 1.13414i 0.188642 0.0972516i
\(137\) −10.1595 + 17.5968i −0.867986 + 1.50340i −0.00393551 + 0.999992i \(0.501253\pi\)
−0.864051 + 0.503404i \(0.832081\pi\)
\(138\) 4.54747 + 1.52333i 0.387106 + 0.129674i
\(139\) −17.1476 −1.45444 −0.727220 0.686405i \(-0.759188\pi\)
−0.727220 + 0.686405i \(0.759188\pi\)
\(140\) −6.49404 + 0.721842i −0.548847 + 0.0610068i
\(141\) −1.12182 7.80241i −0.0944740 0.657081i
\(142\) −2.85470 + 4.00887i −0.239561 + 0.336417i
\(143\) 10.4400 9.95456i 0.873040 0.832442i
\(144\) 0.580057 + 0.814576i 0.0483381 + 0.0678813i
\(145\) −4.37451 0.843118i −0.363283 0.0700171i
\(146\) −1.80699 + 12.5679i −0.149547 + 1.04013i
\(147\) 6.31828 + 3.01319i 0.521123 + 0.248524i
\(148\) −2.82540 3.26069i −0.232247 0.268027i
\(149\) 4.50153 + 2.32070i 0.368780 + 0.190119i 0.632648 0.774440i \(-0.281968\pi\)
−0.263868 + 0.964559i \(0.584998\pi\)
\(150\) 0.0522968 + 1.09784i 0.00427001 + 0.0896386i
\(151\) 7.87884 1.51852i 0.641171 0.123576i 0.141705 0.989909i \(-0.454742\pi\)
0.499466 + 0.866333i \(0.333530\pi\)
\(152\) −2.64794 2.52481i −0.214776 0.204789i
\(153\) −0.352238 + 2.44987i −0.0284767 + 0.198060i
\(154\) 0.233566 7.27382i 0.0188213 0.586141i
\(155\) 6.27763 13.7461i 0.504232 1.10411i
\(156\) −1.23639 5.09645i −0.0989901 0.408043i
\(157\) 14.5448 + 1.38886i 1.16080 + 0.110843i 0.657628 0.753343i \(-0.271560\pi\)
0.503173 + 0.864186i \(0.332166\pi\)
\(158\) −4.54754 1.82056i −0.361783 0.144836i
\(159\) 0.501679 10.5315i 0.0397857 0.835205i
\(160\) 2.46963 0.195242
\(161\) −12.6547 + 0.926256i −0.997332 + 0.0729992i
\(162\) −1.00000 −0.0785674
\(163\) 0.160879 3.37726i 0.0126010 0.264527i −0.983771 0.179427i \(-0.942576\pi\)
0.996372 0.0851007i \(-0.0271212\pi\)
\(164\) −3.37100 1.34954i −0.263231 0.105382i
\(165\) −6.76237 0.645728i −0.526450 0.0502698i
\(166\) −0.640436 2.63991i −0.0497075 0.204897i
\(167\) 2.29451 5.02427i 0.177554 0.388790i −0.799840 0.600213i \(-0.795082\pi\)
0.977395 + 0.211423i \(0.0678098\pi\)
\(168\) −2.24765 1.39573i −0.173410 0.107683i
\(169\) −2.06392 + 14.3549i −0.158763 + 1.10422i
\(170\) 4.42382 + 4.21810i 0.339291 + 0.323514i
\(171\) 3.59260 0.692417i 0.274733 0.0529505i
\(172\) −0.284615 5.97481i −0.0217017 0.455575i
\(173\) 19.5998 + 10.1044i 1.49014 + 0.768223i 0.994932 0.100549i \(-0.0320600\pi\)
0.495212 + 0.868772i \(0.335090\pi\)
\(174\) −1.18132 1.36331i −0.0895553 0.103352i
\(175\) −1.24885 2.62609i −0.0944039 0.198514i
\(176\) −0.391460 + 2.72266i −0.0295074 + 0.205229i
\(177\) 2.01471 + 0.388304i 0.151435 + 0.0291867i
\(178\) −6.95050 9.76061i −0.520962 0.731589i
\(179\) 1.30217 1.24161i 0.0973285 0.0928026i −0.639853 0.768497i \(-0.721005\pi\)
0.737181 + 0.675695i \(0.236156\pi\)
\(180\) −1.43253 + 2.01170i −0.106774 + 0.149944i
\(181\) −0.444911 3.09443i −0.0330700 0.230007i 0.966583 0.256354i \(-0.0825214\pi\)
−0.999653 + 0.0263476i \(0.991612\pi\)
\(182\) 8.22254 + 11.1762i 0.609496 + 0.828434i
\(183\) −7.08056 −0.523410
\(184\) 4.79244 + 0.180453i 0.353303 + 0.0133032i
\(185\) 5.32763 9.22772i 0.391695 0.678435i
\(186\) 5.43879 2.80389i 0.398792 0.205591i
\(187\) −5.35149 + 4.20846i −0.391340 + 0.307753i
\(188\) −3.27457 7.17030i −0.238822 0.522948i
\(189\) 2.44069 1.02128i 0.177534 0.0742871i
\(190\) 3.75356 8.21916i 0.272312 0.596281i
\(191\) 18.4000 + 3.54630i 1.33137 + 0.256601i 0.804809 0.593534i \(-0.202268\pi\)
0.526565 + 0.850135i \(0.323480\pi\)
\(192\) 0.786053 + 0.618159i 0.0567285 + 0.0446118i
\(193\) −2.11590 + 8.72187i −0.152306 + 0.627814i 0.843564 + 0.537028i \(0.180453\pi\)
−0.995870 + 0.0907861i \(0.971062\pi\)
\(194\) 2.53119 7.31340i 0.181729 0.525072i
\(195\) 10.8955 7.00209i 0.780240 0.501430i
\(196\) 6.91126 + 1.11107i 0.493661 + 0.0793624i
\(197\) −16.3076 18.8200i −1.16187 1.34087i −0.929756 0.368177i \(-0.879982\pi\)
−0.232112 0.972689i \(-0.574564\pi\)
\(198\) −1.99075 1.89817i −0.141476 0.134897i
\(199\) −6.34651 4.99095i −0.449892 0.353799i 0.367361 0.930079i \(-0.380262\pi\)
−0.817253 + 0.576280i \(0.804504\pi\)
\(200\) 0.359477 + 1.03864i 0.0254189 + 0.0734429i
\(201\) −10.3998 + 0.993059i −0.733545 + 0.0700450i
\(202\) 3.15935 + 0.927669i 0.222291 + 0.0652706i
\(203\) 4.27555 + 2.12097i 0.300085 + 0.148863i
\(204\) 0.352238 + 2.44987i 0.0246616 + 0.171525i
\(205\) 0.426690 8.95733i 0.0298013 0.625607i
\(206\) 1.42905 2.47519i 0.0995669 0.172455i
\(207\) −2.92688 + 3.79913i −0.203432 + 0.264058i
\(208\) −2.62214 4.54168i −0.181813 0.314909i
\(209\) 8.46629 + 5.44096i 0.585626 + 0.376359i
\(210\) 1.44185 6.37297i 0.0994972 0.439776i
\(211\) −10.0192 21.9391i −0.689752 1.51035i −0.851969 0.523592i \(-0.824592\pi\)
0.162217 0.986755i \(-0.448136\pi\)
\(212\) −2.48572 10.2463i −0.170720 0.703717i
\(213\) −2.85470 4.00887i −0.195601 0.274683i
\(214\) −3.51341 10.1513i −0.240172 0.693931i
\(215\) 13.7142 5.49032i 0.935297 0.374437i
\(216\) −0.959493 + 0.281733i −0.0652852 + 0.0191695i
\(217\) −10.4109 + 12.3980i −0.706736 + 0.841629i
\(218\) 8.84885 5.68681i 0.599320 0.385159i
\(219\) −11.2857 5.81816i −0.762614 0.393155i
\(220\) −6.67037 + 1.28561i −0.449716 + 0.0866757i
\(221\) 3.06013 12.6140i 0.205847 0.848512i
\(222\) 4.00545 1.60354i 0.268828 0.107623i
\(223\) 0.247923 0.286118i 0.0166021 0.0191599i −0.747388 0.664388i \(-0.768692\pi\)
0.763990 + 0.645228i \(0.223238\pi\)
\(224\) −2.54983 0.705957i −0.170368 0.0471688i
\(225\) −1.05457 0.309649i −0.0703046 0.0206433i
\(226\) 4.00764 5.62794i 0.266584 0.374365i
\(227\) −10.2016 4.08412i −0.677107 0.271073i 0.00751440 0.999972i \(-0.497608\pi\)
−0.684621 + 0.728899i \(0.740032\pi\)
\(228\) 3.25200 1.67652i 0.215369 0.111030i
\(229\) 1.54879 + 2.68258i 0.102347 + 0.177270i 0.912651 0.408739i \(-0.134031\pi\)
−0.810304 + 0.586009i \(0.800698\pi\)
\(230\) 3.44989 + 11.3304i 0.227479 + 0.747103i
\(231\) 6.79737 + 2.59975i 0.447234 + 0.171051i
\(232\) −1.51755 0.975272i −0.0996323 0.0640298i
\(233\) −23.7778 + 18.6991i −1.55774 + 1.22502i −0.695488 + 0.718538i \(0.744812\pi\)
−0.862251 + 0.506481i \(0.830946\pi\)
\(234\) 5.22054 + 0.498501i 0.341277 + 0.0325880i
\(235\) 14.0891 13.4339i 0.919071 0.876333i
\(236\) 2.04250 0.195035i 0.132956 0.0126957i
\(237\) 3.20778 3.70198i 0.208368 0.240469i
\(238\) −3.36171 5.61965i −0.217907 0.364268i
\(239\) −5.72534 + 1.68111i −0.370342 + 0.108742i −0.461607 0.887085i \(-0.652727\pi\)
0.0912655 + 0.995827i \(0.470909\pi\)
\(240\) −0.807738 + 2.33381i −0.0521393 + 0.150647i
\(241\) 0.555110 + 11.6532i 0.0357578 + 0.750648i 0.943551 + 0.331229i \(0.107463\pi\)
−0.907793 + 0.419419i \(0.862234\pi\)
\(242\) 0.163390 + 3.42997i 0.0105031 + 0.220487i
\(243\) 0.327068 0.945001i 0.0209814 0.0606218i
\(244\) −6.79374 + 1.99482i −0.434925 + 0.127705i
\(245\) 2.98946 + 17.0270i 0.190990 + 1.08781i
\(246\) 2.37786 2.74420i 0.151607 0.174964i
\(247\) −19.1005 + 1.82387i −1.21533 + 0.116050i
\(248\) 4.42854 4.22260i 0.281212 0.268135i
\(249\) 2.70419 + 0.258219i 0.171371 + 0.0163639i
\(250\) 7.57269 5.95523i 0.478939 0.376642i
\(251\) 21.7019 + 13.9469i 1.36981 + 0.880323i 0.998832 0.0483192i \(-0.0153865\pi\)
0.370977 + 0.928642i \(0.379023\pi\)
\(252\) 2.05410 1.66753i 0.129396 0.105045i
\(253\) −13.0381 + 2.00738i −0.819697 + 0.126203i
\(254\) 10.0536 + 17.4134i 0.630822 + 1.09262i
\(255\) −5.43300 + 2.80091i −0.340228 + 0.175400i
\(256\) 0.928368 + 0.371662i 0.0580230 + 0.0232289i
\(257\) 1.81927 2.55481i 0.113483 0.159365i −0.753928 0.656957i \(-0.771843\pi\)
0.867411 + 0.497593i \(0.165783\pi\)
\(258\) 5.73929 + 1.68521i 0.357313 + 0.104916i
\(259\) −8.13842 + 8.00444i −0.505697 + 0.497371i
\(260\) 8.48140 9.78806i 0.525994 0.607030i
\(261\) 1.67470 0.670449i 0.103661 0.0414998i
\(262\) −1.68540 + 6.94731i −0.104124 + 0.429206i
\(263\) −0.240617 + 0.0463751i −0.0148371 + 0.00285961i −0.196664 0.980471i \(-0.563011\pi\)
0.181827 + 0.983330i \(0.441799\pi\)
\(264\) −2.44489 1.26043i −0.150472 0.0775739i
\(265\) 21.9050 14.0775i 1.34561 0.864773i
\(266\) −6.22494 + 7.41308i −0.381676 + 0.454525i
\(267\) 11.4971 3.37584i 0.703609 0.206598i
\(268\) −9.69875 + 3.88279i −0.592445 + 0.237179i
\(269\) −2.19508 6.34227i −0.133837 0.386695i 0.858092 0.513497i \(-0.171650\pi\)
−0.991928 + 0.126801i \(0.959529\pi\)
\(270\) −1.43253 2.01170i −0.0871809 0.122428i
\(271\) −3.97635 16.3907i −0.241546 0.995666i −0.955387 0.295358i \(-0.904561\pi\)
0.713841 0.700308i \(-0.246954\pi\)
\(272\) 1.02818 + 2.25139i 0.0623424 + 0.136511i
\(273\) −13.2508 + 4.11494i −0.801977 + 0.249047i
\(274\) −17.0935 10.9853i −1.03265 0.663646i
\(275\) −1.51161 2.61819i −0.0911536 0.157883i
\(276\) −1.73798 + 4.46983i −0.104614 + 0.269052i
\(277\) −12.3613 + 21.4105i −0.742721 + 1.28643i 0.208530 + 0.978016i \(0.433132\pi\)
−0.951252 + 0.308415i \(0.900201\pi\)
\(278\) 0.815915 17.1282i 0.0489353 1.02728i
\(279\) 0.870826 + 6.05673i 0.0521350 + 0.362607i
\(280\) −0.412026 6.52103i −0.0246232 0.389706i
\(281\) 14.6134 + 4.29089i 0.871764 + 0.255973i 0.686865 0.726785i \(-0.258986\pi\)
0.184899 + 0.982758i \(0.440804\pi\)
\(282\) 7.84695 0.749293i 0.467279 0.0446197i
\(283\) 6.97700 + 20.1587i 0.414739 + 1.19831i 0.938150 + 0.346230i \(0.112538\pi\)
−0.523410 + 0.852081i \(0.675340\pi\)
\(284\) −3.86850 3.04222i −0.229553 0.180523i
\(285\) 6.53944 + 6.23535i 0.387363 + 0.369350i
\(286\) 9.44653 + 10.9019i 0.558585 + 0.644642i
\(287\) −3.00104 + 9.12622i −0.177146 + 0.538704i
\(288\) −0.841254 + 0.540641i −0.0495713 + 0.0318576i
\(289\) 3.55656 10.2760i 0.209209 0.604471i
\(290\) 1.05031 4.32944i 0.0616764 0.254233i
\(291\) 6.08330 + 4.78396i 0.356609 + 0.280441i
\(292\) −12.4677 2.40295i −0.729615 0.140622i
\(293\) 0.809176 1.77185i 0.0472726 0.103513i −0.884522 0.466498i \(-0.845515\pi\)
0.931795 + 0.362986i \(0.118243\pi\)
\(294\) −3.31042 + 6.16775i −0.193067 + 0.359710i
\(295\) 2.10498 + 4.60926i 0.122557 + 0.268362i
\(296\) 3.39143 2.66705i 0.197123 0.155019i
\(297\) 2.44489 1.26043i 0.141867 0.0731374i
\(298\) −2.53226 + 4.38601i −0.146690 + 0.254074i
\(299\) 17.1737 18.3744i 0.993183 1.06262i
\(300\) −1.09909 −0.0634559
\(301\) −15.7289 + 1.74834i −0.906600 + 0.100773i
\(302\) 1.14191 + 7.94217i 0.0657096 + 0.457021i
\(303\) −1.90997 + 2.68218i −0.109725 + 0.154087i
\(304\) 2.64794 2.52481i 0.151870 0.144808i
\(305\) −10.1431 14.2440i −0.580792 0.815608i
\(306\) −2.43033 0.468408i −0.138933 0.0267771i
\(307\) −4.68904 + 32.6130i −0.267618 + 1.86132i 0.203262 + 0.979124i \(0.434846\pi\)
−0.470880 + 0.882198i \(0.656063\pi\)
\(308\) 7.25447 + 0.579404i 0.413362 + 0.0330146i
\(309\) 1.87166 + 2.16001i 0.106475 + 0.122879i
\(310\) 13.4318 + 6.92459i 0.762877 + 0.393290i
\(311\) −0.956392 20.0771i −0.0542320 1.13847i −0.847913 0.530136i \(-0.822141\pi\)
0.793681 0.608335i \(-0.208162\pi\)
\(312\) 5.14951 0.992487i 0.291534 0.0561885i
\(313\) −17.5353 16.7199i −0.991154 0.945063i 0.00733765 0.999973i \(-0.497664\pi\)
−0.998491 + 0.0549100i \(0.982513\pi\)
\(314\) −2.07936 + 14.4622i −0.117345 + 0.816152i
\(315\) 5.55087 + 3.44694i 0.312756 + 0.194213i
\(316\) 2.03488 4.45576i 0.114471 0.250656i
\(317\) 0.657955 + 2.71213i 0.0369544 + 0.152328i 0.987300 0.158870i \(-0.0507850\pi\)
−0.950345 + 0.311198i \(0.899270\pi\)
\(318\) 10.4957 + 1.00222i 0.588572 + 0.0562018i
\(319\) 4.60654 + 1.84418i 0.257916 + 0.103254i
\(320\) −0.117510 + 2.46684i −0.00656900 + 0.137900i
\(321\) 10.7422 0.599568
\(322\) −0.323070 12.6845i −0.0180040 0.706878i
\(323\) 9.05556 0.503865
\(324\) 0.0475819 0.998867i 0.00264344 0.0554926i
\(325\) 5.35105 + 2.14224i 0.296823 + 0.118830i
\(326\) 3.36578 + 0.321393i 0.186413 + 0.0178003i
\(327\) 2.47986 + 10.2221i 0.137137 + 0.565286i
\(328\) 1.50841 3.30296i 0.0832882 0.182376i
\(329\) −18.3868 + 9.84272i −1.01369 + 0.542647i
\(330\) 0.966763 6.72398i 0.0532185 0.370143i
\(331\) −18.1328 17.2896i −0.996668 0.950321i 0.00209740 0.999998i \(-0.499332\pi\)
−0.998765 + 0.0496768i \(0.984181\pi\)
\(332\) 2.66740 0.514099i 0.146392 0.0282148i
\(333\) 0.205293 + 4.30962i 0.0112500 + 0.236166i
\(334\) 4.90941 + 2.53097i 0.268631 + 0.138489i
\(335\) −16.8957 19.4987i −0.923112 1.06533i
\(336\) 1.50110 2.17869i 0.0818916 0.118857i
\(337\) 3.70092 25.7405i 0.201602 1.40217i −0.597930 0.801548i \(-0.704010\pi\)
0.799532 0.600624i \(-0.205081\pi\)
\(338\) −14.2404 2.74462i −0.774577 0.149287i
\(339\) 4.00764 + 5.62794i 0.217665 + 0.305668i
\(340\) −4.42382 + 4.21810i −0.239915 + 0.228759i
\(341\) −9.76313 + 13.7104i −0.528703 + 0.742460i
\(342\) 0.520690 + 3.62148i 0.0281557 + 0.195827i
\(343\) 1.78072 18.4345i 0.0961498 0.995367i
\(344\) 5.98159 0.322506
\(345\) −11.8356 0.445653i −0.637205 0.0239932i
\(346\) −11.0255 + 19.0968i −0.592737 + 1.02665i
\(347\) 1.62253 0.836474i 0.0871022 0.0449043i −0.414125 0.910220i \(-0.635912\pi\)
0.501227 + 0.865316i \(0.332882\pi\)
\(348\) 1.41798 1.11511i 0.0760115 0.0597761i
\(349\) −0.970150 2.12433i −0.0519309 0.113713i 0.881888 0.471459i \(-0.156273\pi\)
−0.933819 + 0.357746i \(0.883545\pi\)
\(350\) 2.68254 1.12248i 0.143388 0.0599989i
\(351\) −2.17855 + 4.77037i −0.116283 + 0.254623i
\(352\) −2.70095 0.520566i −0.143961 0.0277463i
\(353\) −10.4370 8.20771i −0.555503 0.436852i 0.300531 0.953772i \(-0.402836\pi\)
−0.856034 + 0.516920i \(0.827079\pi\)
\(354\) −0.483728 + 1.99396i −0.0257099 + 0.105978i
\(355\) 3.97522 11.4856i 0.210983 0.609594i
\(356\) 10.0803 6.47820i 0.534253 0.343344i
\(357\) 6.41008 1.33881i 0.339257 0.0708572i
\(358\) 1.17825 + 1.35977i 0.0622723 + 0.0718661i
\(359\) −17.8457 17.0158i −0.941860 0.898062i 0.0530740 0.998591i \(-0.483098\pi\)
−0.994934 + 0.100529i \(0.967947\pi\)
\(360\) −1.94126 1.52663i −0.102314 0.0804603i
\(361\) 1.83608 + 5.30501i 0.0966359 + 0.279211i
\(362\) 3.11209 0.297169i 0.163568 0.0156188i
\(363\) −3.29476 0.967429i −0.172930 0.0507769i
\(364\) −11.5548 + 7.68145i −0.605635 + 0.402617i
\(365\) −4.46260 31.0381i −0.233583 1.62461i
\(366\) 0.336906 7.07254i 0.0176104 0.369687i
\(367\) −12.1329 + 21.0149i −0.633334 + 1.09697i 0.353531 + 0.935423i \(0.384981\pi\)
−0.986865 + 0.161544i \(0.948352\pi\)
\(368\) −0.408282 + 4.77842i −0.0212832 + 0.249092i
\(369\) 1.81555 + 3.14463i 0.0945138 + 0.163703i
\(370\) 8.96377 + 5.76066i 0.466004 + 0.299483i
\(371\) −26.6404 + 8.27296i −1.38310 + 0.429511i
\(372\) 2.54193 + 5.56605i 0.131793 + 0.288586i
\(373\) 7.08238 + 29.1940i 0.366712 + 1.51161i 0.794240 + 0.607605i \(0.207869\pi\)
−0.427528 + 0.904002i \(0.640615\pi\)
\(374\) −3.94906 5.54568i −0.204201 0.286760i
\(375\) 3.15091 + 9.10397i 0.162712 + 0.470127i
\(376\) 7.31799 2.92968i 0.377397 0.151087i
\(377\) −9.07706 + 2.66526i −0.467492 + 0.137268i
\(378\) 0.903990 + 2.48652i 0.0464962 + 0.127893i
\(379\) 3.44889 2.21646i 0.177157 0.113852i −0.449057 0.893503i \(-0.648240\pi\)
0.626214 + 0.779651i \(0.284604\pi\)
\(380\) 8.03125 + 4.14040i 0.411994 + 0.212398i
\(381\) −19.7439 + 3.80533i −1.01151 + 0.194953i
\(382\) −4.41779 + 18.2104i −0.226034 + 0.931724i
\(383\) 17.6069 7.04873i 0.899669 0.360173i 0.124717 0.992192i \(-0.460198\pi\)
0.774953 + 0.632019i \(0.217774\pi\)
\(384\) −0.654861 + 0.755750i −0.0334182 + 0.0385667i
\(385\) 4.50749 + 17.3985i 0.229723 + 0.886711i
\(386\) −8.61132 2.52851i −0.438304 0.128698i
\(387\) −3.46966 + 4.87246i −0.176373 + 0.247681i
\(388\) 7.18468 + 2.87631i 0.364747 + 0.146023i
\(389\) −3.71146 + 1.91339i −0.188179 + 0.0970129i −0.549741 0.835335i \(-0.685274\pi\)
0.361563 + 0.932348i \(0.382243\pi\)
\(390\) 6.47573 + 11.2163i 0.327911 + 0.567959i
\(391\) −8.89283 + 7.86218i −0.449730 + 0.397607i
\(392\) −1.43867 + 6.85057i −0.0726636 + 0.346006i
\(393\) −6.01397 3.86494i −0.303365 0.194961i
\(394\) 19.5746 15.3936i 0.986154 0.775520i
\(395\) 12.0425 + 1.14992i 0.605925 + 0.0578588i
\(396\) 1.99075 1.89817i 0.100039 0.0953868i
\(397\) −4.43494 + 0.423486i −0.222583 + 0.0212541i −0.205752 0.978604i \(-0.565964\pi\)
−0.0168316 + 0.999858i \(0.505358\pi\)
\(398\) 5.28728 6.10184i 0.265027 0.305858i
\(399\) −4.96939 8.30716i −0.248781 0.415878i
\(400\) −1.05457 + 0.309649i −0.0527284 + 0.0154825i
\(401\) −3.04798 + 8.80655i −0.152209 + 0.439778i −0.995167 0.0982015i \(-0.968691\pi\)
0.842958 + 0.537980i \(0.180812\pi\)
\(402\) −0.497093 10.4353i −0.0247927 0.520464i
\(403\) −1.52690 32.0535i −0.0760601 1.59670i
\(404\) −1.07695 + 3.11163i −0.0535801 + 0.154809i
\(405\) 2.36960 0.695776i 0.117746 0.0345734i
\(406\) −2.32201 + 4.16979i −0.115239 + 0.206943i
\(407\) −7.77173 + 8.96905i −0.385230 + 0.444579i
\(408\) −2.46385 + 0.235270i −0.121979 + 0.0116476i
\(409\) 4.17628 3.98208i 0.206504 0.196901i −0.579768 0.814781i \(-0.696857\pi\)
0.786272 + 0.617880i \(0.212008\pi\)
\(410\) 8.92688 + 0.852414i 0.440867 + 0.0420977i
\(411\) 15.9718 12.5604i 0.787833 0.619559i
\(412\) 2.40439 + 1.54521i 0.118456 + 0.0761270i
\(413\) −0.855752 5.36066i −0.0421088 0.263781i
\(414\) −3.65556 3.10433i −0.179661 0.152570i
\(415\) 3.35437 + 5.80993i 0.164659 + 0.285198i
\(416\) 4.66130 2.40307i 0.228539 0.117820i
\(417\) 15.9193 + 6.37312i 0.779570 + 0.312093i
\(418\) −5.83764 + 8.19781i −0.285528 + 0.400968i
\(419\) 8.12650 + 2.38616i 0.397006 + 0.116571i 0.474140 0.880449i \(-0.342759\pi\)
−0.0771346 + 0.997021i \(0.524577\pi\)
\(420\) 6.29714 + 1.74346i 0.307269 + 0.0850719i
\(421\) 23.7861 27.4506i 1.15926 1.33786i 0.227935 0.973676i \(-0.426803\pi\)
0.931327 0.364183i \(-0.118652\pi\)
\(422\) 22.3909 8.96398i 1.08997 0.436360i
\(423\) −1.85840 + 7.66044i −0.0903586 + 0.372463i
\(424\) 10.3529 1.99537i 0.502783 0.0969036i
\(425\) −2.41791 1.24652i −0.117286 0.0604651i
\(426\) 4.14016 2.66072i 0.200592 0.128912i
\(427\) 6.40075 + 17.6060i 0.309754 + 0.852013i
\(428\) 10.3070 3.02641i 0.498209 0.146287i
\(429\) −13.3919 + 5.36132i −0.646569 + 0.258847i
\(430\) 4.83155 + 13.9599i 0.232998 + 0.673204i
\(431\) 17.3280 + 24.3338i 0.834662 + 1.17212i 0.983077 + 0.183194i \(0.0586435\pi\)
−0.148415 + 0.988925i \(0.547417\pi\)
\(432\) −0.235759 0.971812i −0.0113430 0.0467563i
\(433\) 4.18593 + 9.16590i 0.201163 + 0.440485i 0.983148 0.182812i \(-0.0585200\pi\)
−0.781985 + 0.623297i \(0.785793\pi\)
\(434\) −11.8886 10.9890i −0.570669 0.527489i
\(435\) 3.74780 + 2.40857i 0.179693 + 0.115482i
\(436\) 5.25932 + 9.10942i 0.251876 + 0.436262i
\(437\) 15.2825 + 8.62146i 0.731060 + 0.412420i
\(438\) 6.34856 10.9960i 0.303346 0.525411i
\(439\) −0.107753 + 2.26200i −0.00514275 + 0.107960i 0.994836 + 0.101492i \(0.0323617\pi\)
−0.999979 + 0.00646740i \(0.997941\pi\)
\(440\) −0.966763 6.72398i −0.0460886 0.320553i
\(441\) −4.74580 5.14562i −0.225990 0.245030i
\(442\) 12.4541 + 3.65687i 0.592383 + 0.173939i
\(443\) −1.59855 + 0.152643i −0.0759495 + 0.00725230i −0.132962 0.991121i \(-0.542449\pi\)
0.0570121 + 0.998373i \(0.481843\pi\)
\(444\) 1.41114 + 4.07721i 0.0669696 + 0.193496i
\(445\) 23.2611 + 18.2927i 1.10268 + 0.867158i
\(446\) 0.273997 + 0.261256i 0.0129742 + 0.0123708i
\(447\) −3.31656 3.82751i −0.156868 0.181035i
\(448\) 0.826484 2.51335i 0.0390477 0.118745i
\(449\) −14.5179 + 9.33008i −0.685142 + 0.440314i −0.836356 0.548187i \(-0.815318\pi\)
0.151214 + 0.988501i \(0.451682\pi\)
\(450\) 0.359477 1.03864i 0.0169459 0.0489620i
\(451\) −2.35474 + 9.70639i −0.110881 + 0.457056i
\(452\) 5.43087 + 4.27089i 0.255447 + 0.200886i
\(453\) −7.87884 1.51852i −0.370180 0.0713464i
\(454\) 4.56491 9.99576i 0.214242 0.469124i
\(455\) −27.2602 20.7620i −1.27798 0.973338i
\(456\) 1.51989 + 3.32809i 0.0711752 + 0.155852i
\(457\) 19.0959 15.0172i 0.893267 0.702473i −0.0620449 0.998073i \(-0.519762\pi\)
0.955312 + 0.295601i \(0.0955198\pi\)
\(458\) −2.75324 + 1.41939i −0.128650 + 0.0663239i
\(459\) 1.23753 2.14347i 0.0577630 0.100048i
\(460\) −11.4817 + 2.90686i −0.535337 + 0.135533i
\(461\) −35.4524 −1.65118 −0.825590 0.564270i \(-0.809158\pi\)
−0.825590 + 0.564270i \(0.809158\pi\)
\(462\) −2.92024 + 6.66597i −0.135862 + 0.310129i
\(463\) 2.26510 + 15.7541i 0.105268 + 0.732157i 0.972272 + 0.233854i \(0.0751339\pi\)
−0.867003 + 0.498302i \(0.833957\pi\)
\(464\) 1.04638 1.46943i 0.0485768 0.0682165i
\(465\) −10.9369 + 10.4283i −0.507185 + 0.483600i
\(466\) −17.5465 24.6407i −0.812827 1.14146i
\(467\) 22.8801 + 4.40977i 1.05876 + 0.204060i 0.688774 0.724976i \(-0.258149\pi\)
0.369989 + 0.929036i \(0.379361\pi\)
\(468\) −0.746339 + 5.19090i −0.0344995 + 0.239950i
\(469\) 11.8706 + 24.9616i 0.548132 + 1.15262i
\(470\) 12.7483 + 14.7124i 0.588036 + 0.678630i
\(471\) −12.9867 6.69513i −0.598397 0.308495i
\(472\) 0.0976282 + 2.04947i 0.00449370 + 0.0943344i
\(473\) −16.1560 + 3.11381i −0.742853 + 0.143173i
\(474\) 3.54515 + 3.38030i 0.162834 + 0.155262i
\(475\) −0.572285 + 3.98033i −0.0262582 + 0.182630i
\(476\) 5.77324 3.09050i 0.264616 0.141653i
\(477\) −4.37992 + 9.59069i −0.200543 + 0.439127i
\(478\) −1.40679 5.79885i −0.0643449 0.265233i
\(479\) 27.9463 + 2.66855i 1.27690 + 0.121929i 0.711381 0.702807i \(-0.248070\pi\)
0.565518 + 0.824736i \(0.308676\pi\)
\(480\) −2.29273 0.917870i −0.104648 0.0418948i
\(481\) 1.07661 22.6009i 0.0490893 1.03051i
\(482\) −11.6664 −0.531390
\(483\) 12.0925 + 3.84338i 0.550228 + 0.174880i
\(484\) −3.43386 −0.156084
\(485\) −0.909414 + 19.0909i −0.0412944 + 0.866875i
\(486\) 0.928368 + 0.371662i 0.0421116 + 0.0168590i
\(487\) 20.0017 + 1.90993i 0.906365 + 0.0865473i 0.537817 0.843062i \(-0.319249\pi\)
0.368548 + 0.929609i \(0.379855\pi\)
\(488\) −1.66930 6.88097i −0.0755659 0.311487i
\(489\) −1.40455 + 3.07554i −0.0635161 + 0.139081i
\(490\) −17.1500 + 2.17590i −0.774756 + 0.0982970i
\(491\) −5.64486 + 39.2609i −0.254749 + 1.77182i 0.314114 + 0.949385i \(0.398293\pi\)
−0.568863 + 0.822433i \(0.692616\pi\)
\(492\) 2.62795 + 2.50575i 0.118477 + 0.112968i
\(493\) 4.38413 0.844971i 0.197451 0.0380556i
\(494\) −0.912972 19.1656i −0.0410765 0.862303i
\(495\) 6.03797 + 3.11279i 0.271387 + 0.139910i
\(496\) 4.00710 + 4.62444i 0.179924 + 0.207644i
\(497\) −7.38753 + 10.7223i −0.331376 + 0.480959i
\(498\) −0.386597 + 2.68884i −0.0173238 + 0.120490i
\(499\) −39.7202 7.65544i −1.77812 0.342704i −0.808720 0.588194i \(-0.799839\pi\)
−0.969399 + 0.245490i \(0.921051\pi\)
\(500\) 5.58816 + 7.84748i 0.249910 + 0.350950i
\(501\) −3.99748 + 3.81159i −0.178594 + 0.170289i
\(502\) −14.9638 + 21.0137i −0.667865 + 0.937885i
\(503\) 2.58159 + 17.9553i 0.115107 + 0.800589i 0.962822 + 0.270137i \(0.0870689\pi\)
−0.847715 + 0.530453i \(0.822022\pi\)
\(504\) 1.56791 + 2.13112i 0.0698401 + 0.0949276i
\(505\) −8.13184 −0.361862
\(506\) −1.38473 13.1188i −0.0615589 0.583203i
\(507\) 7.25125 12.5595i 0.322039 0.557789i
\(508\) −17.8721 + 9.21369i −0.792945 + 0.408791i
\(509\) 5.61120 4.41270i 0.248712 0.195590i −0.486018 0.873949i \(-0.661551\pi\)
0.734730 + 0.678359i \(0.237309\pi\)
\(510\) −2.53922 5.56012i −0.112439 0.246206i
\(511\) −4.26488 + 33.3216i −0.188667 + 1.47406i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) −3.59260 0.692417i −0.158617 0.0305710i
\(514\) 2.46535 + 1.93877i 0.108742 + 0.0855157i
\(515\) −1.66410 + 6.85951i −0.0733290 + 0.302266i
\(516\) −1.95639 + 5.65260i −0.0861251 + 0.248842i
\(517\) −18.2405 + 11.7224i −0.802215 + 0.515552i
\(518\) −7.60813 8.51007i −0.334282 0.373911i
\(519\) −14.4404 16.6651i −0.633863 0.731517i
\(520\) 9.37341 + 8.93753i 0.411051 + 0.391937i
\(521\) −22.0838 17.3669i −0.967507 0.760856i 0.00347837 0.999994i \(-0.498893\pi\)
−0.970986 + 0.239138i \(0.923135\pi\)
\(522\) 0.590004 + 1.70471i 0.0258238 + 0.0746129i
\(523\) −33.8619 + 3.23342i −1.48068 + 0.141388i −0.803885 0.594785i \(-0.797237\pi\)
−0.676794 + 0.736173i \(0.736631\pi\)
\(524\) −6.85924 2.01406i −0.299647 0.0879844i
\(525\) 0.183368 + 2.90213i 0.00800286 + 0.126659i
\(526\) −0.0348736 0.242551i −0.00152056 0.0105757i
\(527\) −0.720625 + 15.1278i −0.0313909 + 0.658976i
\(528\) 1.37533 2.38214i 0.0598536 0.103669i
\(529\) −22.4931 + 4.80194i −0.977963 + 0.208780i
\(530\) 13.0193 + 22.5500i 0.565521 + 0.979510i
\(531\) −1.72608 1.10928i −0.0749054 0.0481388i
\(532\) −7.10849 6.57062i −0.308192 0.284872i
\(533\) −7.91055 17.3217i −0.342644 0.750285i
\(534\) 2.82497 + 11.6447i 0.122248 + 0.503914i
\(535\) 15.3884 + 21.6100i 0.665300 + 0.934283i
\(536\) −3.41691 9.87251i −0.147588 0.426428i
\(537\) −1.67035 + 0.668708i −0.0720810 + 0.0288569i
\(538\) 6.43954 1.89082i 0.277628 0.0815190i
\(539\) 0.319597 19.2520i 0.0137660 0.829242i
\(540\) 2.07759 1.33518i 0.0894051 0.0574572i
\(541\) 1.99797 + 1.03003i 0.0858996 + 0.0442843i 0.500641 0.865655i \(-0.333098\pi\)
−0.414741 + 0.909939i \(0.636128\pi\)
\(542\) 16.5614 3.19194i 0.711372 0.137106i
\(543\) −0.737041 + 3.03812i −0.0316294 + 0.130378i
\(544\) −2.29777 + 0.919887i −0.0985160 + 0.0394398i
\(545\) −17.0114 + 19.6323i −0.728690 + 0.840954i
\(546\) −3.47978 13.4316i −0.148921 0.574821i
\(547\) −12.0491 3.53793i −0.515181 0.151271i 0.0137995 0.999905i \(-0.495607\pi\)
−0.528980 + 0.848634i \(0.677426\pi\)
\(548\) 11.7862 16.5514i 0.503482 0.707041i
\(549\) 6.57336 + 2.63158i 0.280544 + 0.112313i
\(550\) 2.68715 1.38532i 0.114580 0.0590703i
\(551\) −3.30002 5.71580i −0.140585 0.243501i
\(552\) −4.38208 1.94870i −0.186514 0.0829420i
\(553\) −12.1049 4.62968i −0.514751 0.196874i
\(554\) −20.7981 13.3661i −0.883625 0.567871i
\(555\) −8.37559 + 6.58664i −0.355524 + 0.279587i
\(556\) 17.0699 + 1.62998i 0.723927 + 0.0691266i
\(557\) 12.1640 11.5983i 0.515403 0.491436i −0.387149 0.922017i \(-0.626540\pi\)
0.902552 + 0.430581i \(0.141691\pi\)
\(558\) −6.09130 + 0.581649i −0.257865 + 0.0246232i
\(559\) 20.5424 23.7072i 0.868851 1.00271i
\(560\) 6.53325 0.101276i 0.276080 0.00427968i
\(561\) 6.53228 1.91805i 0.275793 0.0809802i
\(562\) −4.98136 + 14.3927i −0.210126 + 0.607120i
\(563\) 1.50760 + 31.6485i 0.0635379 + 1.33382i 0.775384 + 0.631490i \(0.217556\pi\)
−0.711846 + 0.702335i \(0.752141\pi\)
\(564\) 0.375071 + 7.87371i 0.0157933 + 0.331543i
\(565\) −5.58069 + 16.1244i −0.234782 + 0.678357i
\(566\) −20.4679 + 6.00990i −0.860328 + 0.252615i
\(567\) −2.64543 + 0.0410084i −0.111098 + 0.00172219i
\(568\) 3.22284 3.71936i 0.135228 0.156061i
\(569\) 28.5305 2.72434i 1.19606 0.114210i 0.522040 0.852921i \(-0.325171\pi\)
0.674022 + 0.738711i \(0.264565\pi\)
\(570\) −6.53944 + 6.23535i −0.273907 + 0.261170i
\(571\) 9.60805 + 0.917458i 0.402085 + 0.0383944i 0.294140 0.955762i \(-0.404967\pi\)
0.107945 + 0.994157i \(0.465573\pi\)
\(572\) −11.3390 + 8.91710i −0.474108 + 0.372843i
\(573\) −15.7639 10.1308i −0.658546 0.423222i
\(574\) −8.97309 3.43189i −0.374530 0.143244i
\(575\) −2.89378 4.40567i −0.120679 0.183729i
\(576\) −0.500000 0.866025i −0.0208333 0.0360844i
\(577\) −6.02355 + 3.10536i −0.250764 + 0.129278i −0.579026 0.815309i \(-0.696567\pi\)
0.328263 + 0.944586i \(0.393537\pi\)
\(578\) 10.0951 + 4.04148i 0.419902 + 0.168104i
\(579\) 5.20593 7.31071i 0.216351 0.303823i
\(580\) 4.27456 + 1.25512i 0.177491 + 0.0521162i
\(581\) −1.80249 6.95746i −0.0747799 0.288644i
\(582\) −5.06799 + 5.84878i −0.210075 + 0.242440i
\(583\) −26.9241 + 10.7788i −1.11508 + 0.446412i
\(584\) 2.99346 12.3392i 0.123870 0.510600i
\(585\) −12.7174 + 2.45108i −0.525800 + 0.101340i
\(586\) 1.73134 + 0.892568i 0.0715210 + 0.0368716i
\(587\) 15.4234 9.91199i 0.636590 0.409112i −0.182154 0.983270i \(-0.558307\pi\)
0.818744 + 0.574158i \(0.194671\pi\)
\(588\) −6.00325 3.60014i −0.247570 0.148467i
\(589\) 21.4809 6.30736i 0.885105 0.259890i
\(590\) −4.70420 + 1.88328i −0.193669 + 0.0775333i
\(591\) 8.14477 + 23.5328i 0.335031 + 0.968009i
\(592\) 2.50266 + 3.51449i 0.102859 + 0.144445i
\(593\) 6.40780 + 26.4133i 0.263137 + 1.08466i 0.937976 + 0.346700i \(0.112698\pi\)
−0.674839 + 0.737965i \(0.735787\pi\)
\(594\) 1.14267 + 2.50209i 0.0468842 + 0.102662i
\(595\) 11.8759 + 10.9773i 0.486864 + 0.450025i
\(596\) −4.26055 2.73809i −0.174519 0.112156i
\(597\) 4.03695 + 6.99220i 0.165221 + 0.286172i
\(598\) 17.5365 + 18.0286i 0.717120 + 0.737244i
\(599\) 15.6609 27.1255i 0.639887 1.10832i −0.345571 0.938393i \(-0.612315\pi\)
0.985457 0.169923i \(-0.0543521\pi\)
\(600\) 0.0522968 1.09784i 0.00213501 0.0448193i
\(601\) −6.67771 46.4445i −0.272390 1.89451i −0.423342 0.905970i \(-0.639143\pi\)
0.150952 0.988541i \(-0.451766\pi\)
\(602\) −0.997949 15.7943i −0.0406733 0.643727i
\(603\) 10.0239 + 2.94329i 0.408205 + 0.119860i
\(604\) −7.98751 + 0.762715i −0.325007 + 0.0310344i
\(605\) −2.77366 8.01396i −0.112765 0.325814i
\(606\) −2.58826 2.03543i −0.105141 0.0826837i
\(607\) 29.5667 + 28.1918i 1.20007 + 1.14427i 0.985876 + 0.167478i \(0.0535624\pi\)
0.214198 + 0.976790i \(0.431286\pi\)
\(608\) 2.39595 + 2.76508i 0.0971687 + 0.112139i
\(609\) −3.18100 3.55810i −0.128901 0.144182i
\(610\) 14.7105 9.45385i 0.595610 0.382775i
\(611\) 13.5206 39.0652i 0.546985 1.58041i
\(612\) 0.583518 2.40529i 0.0235873 0.0972282i
\(613\) 8.07511 + 6.35034i 0.326151 + 0.256488i 0.767785 0.640707i \(-0.221359\pi\)
−0.441635 + 0.897195i \(0.645601\pi\)
\(614\) −32.3529 6.23552i −1.30566 0.251645i
\(615\) −3.72523 + 8.15711i −0.150216 + 0.328927i
\(616\) −0.923929 + 7.21868i −0.0372262 + 0.290849i
\(617\) 9.34901 + 20.4715i 0.376377 + 0.824151i 0.999129 + 0.0417315i \(0.0132874\pi\)
−0.622752 + 0.782420i \(0.713985\pi\)
\(618\) −2.24662 + 1.76677i −0.0903725 + 0.0710697i
\(619\) −4.53646 + 2.33871i −0.182336 + 0.0940006i −0.546978 0.837147i \(-0.684222\pi\)
0.364642 + 0.931148i \(0.381191\pi\)
\(620\) −7.55586 + 13.0871i −0.303451 + 0.525592i
\(621\) 4.12921 2.43918i 0.165700 0.0978809i
\(622\) 20.0999 0.805933
\(623\) −18.7874 25.5360i −0.752699 1.02308i
\(624\) 0.746339 + 5.19090i 0.0298775 + 0.207802i
\(625\) −16.9884 + 23.8569i −0.679535 + 0.954274i
\(626\) 17.5353 16.7199i 0.700851 0.668261i
\(627\) −5.83764 8.19781i −0.233133 0.327389i
\(628\) −14.3469 2.76514i −0.572504 0.110341i
\(629\) −1.51973 + 10.5700i −0.0605957 + 0.421453i
\(630\) −3.70716 + 5.38057i −0.147697 + 0.214367i
\(631\) 1.51636 + 1.74997i 0.0603653 + 0.0696653i 0.785129 0.619332i \(-0.212597\pi\)
−0.724764 + 0.688997i \(0.758051\pi\)
\(632\) 4.35389 + 2.24459i 0.173188 + 0.0892848i
\(633\) 1.14761 + 24.0913i 0.0456134 + 0.957543i
\(634\) −2.74036 + 0.528161i −0.108834 + 0.0209760i
\(635\) −35.9389 34.2677i −1.42619 1.35987i
\(636\) −1.50049 + 10.4362i −0.0594984 + 0.413821i
\(637\) 22.2105 + 29.2287i 0.880013 + 1.15808i
\(638\) −2.06128 + 4.51357i −0.0816068 + 0.178694i
\(639\) 1.16027 + 4.78269i 0.0458995 + 0.189200i
\(640\) −2.45845 0.234754i −0.0971788 0.00927945i
\(641\) 37.6436 + 15.0702i 1.48683 + 0.595238i 0.966028 0.258437i \(-0.0832075\pi\)
0.520805 + 0.853676i \(0.325632\pi\)
\(642\) −0.511132 + 10.7300i −0.0201728 + 0.423479i
\(643\) 28.5772 1.12697 0.563487 0.826125i \(-0.309460\pi\)
0.563487 + 0.826125i \(0.309460\pi\)
\(644\) 12.6855 + 0.280847i 0.499878 + 0.0110669i
\(645\) −14.7723 −0.581660
\(646\) −0.430881 + 9.04530i −0.0169528 + 0.355883i
\(647\) −13.1441 5.26209i −0.516747 0.206874i 0.0986052 0.995127i \(-0.468562\pi\)
−0.615352 + 0.788252i \(0.710986\pi\)
\(648\) 0.995472 + 0.0950560i 0.0391058 + 0.00373415i
\(649\) −1.33057 5.48470i −0.0522296 0.215293i
\(650\) −2.39442 + 5.24306i −0.0939171 + 0.205650i
\(651\) 14.2730 7.64055i 0.559402 0.299457i
\(652\) −0.481179 + 3.34667i −0.0188444 + 0.131066i
\(653\) −0.0327670 0.0312433i −0.00128227 0.00122264i 0.689438 0.724345i \(-0.257858\pi\)
−0.690720 + 0.723122i \(0.742706\pi\)
\(654\) −10.3286 + 1.99067i −0.403879 + 0.0778412i
\(655\) −0.840057 17.6350i −0.0328237 0.689055i
\(656\) 3.22745 + 1.66387i 0.126011 + 0.0649631i
\(657\) 8.31485 + 9.59584i 0.324393 + 0.374370i
\(658\) −8.95669 18.8343i −0.349168 0.734236i
\(659\) 2.60305 18.1046i 0.101401 0.705256i −0.874178 0.485606i \(-0.838599\pi\)
0.975579 0.219651i \(-0.0704918\pi\)
\(660\) 6.67037 + 1.28561i 0.259644 + 0.0500422i
\(661\) −11.1460 15.6524i −0.433531 0.608809i 0.538795 0.842437i \(-0.318880\pi\)
−0.972326 + 0.233628i \(0.924940\pi\)
\(662\) 18.1328 17.2896i 0.704751 0.671978i
\(663\) −7.52909 + 10.5731i −0.292406 + 0.410626i
\(664\) 0.386597 + 2.68884i 0.0150029 + 0.104347i
\(665\) 9.59275 21.8972i 0.371991 0.849136i
\(666\) −4.31451 −0.167184
\(667\) 8.20327 + 2.74796i 0.317632 + 0.106401i
\(668\) −2.76171 + 4.78342i −0.106854 + 0.185076i
\(669\) −0.336503 + 0.173479i −0.0130100 + 0.00670710i
\(670\) 20.2806 15.9488i 0.783506 0.616156i
\(671\) 8.09071 + 17.7162i 0.312339 + 0.683926i
\(672\) 2.10480 + 1.60306i 0.0811945 + 0.0618395i
\(673\) 3.65053 7.99355i 0.140718 0.308129i −0.826131 0.563478i \(-0.809463\pi\)
0.966849 + 0.255349i \(0.0821903\pi\)
\(674\) 25.5352 + 4.92151i 0.983579 + 0.189569i
\(675\) 0.863942 + 0.679412i 0.0332532 + 0.0261506i
\(676\) 3.41909 14.0937i 0.131504 0.542065i
\(677\) 15.6011 45.0763i 0.599597 1.73242i −0.0779642 0.996956i \(-0.524842\pi\)
0.677561 0.735466i \(-0.263037\pi\)
\(678\) −5.81225 + 3.73531i −0.223218 + 0.143454i
\(679\) 6.39619 19.4509i 0.245463 0.746458i
\(680\) −4.00283 4.61951i −0.153502 0.177150i
\(681\) 7.95296 + 7.58313i 0.304758 + 0.290586i
\(682\) −13.2303 10.4044i −0.506615 0.398407i
\(683\) 13.0118 + 37.5952i 0.497884 + 1.43854i 0.861867 + 0.507135i \(0.169295\pi\)
−0.363983 + 0.931406i \(0.618583\pi\)
\(684\) −3.64215 + 0.347783i −0.139261 + 0.0132978i
\(685\) 48.1479 + 14.1375i 1.83964 + 0.540166i
\(686\) 18.3288 + 2.65585i 0.699798 + 0.101401i
\(687\) −0.440832 3.06605i −0.0168188 0.116977i
\(688\) −0.284615 + 5.97481i −0.0108509 + 0.227788i
\(689\) 27.6465 47.8851i 1.05325 1.82428i
\(690\) 1.00831 11.8009i 0.0383856 0.449254i
\(691\) 15.5967 + 27.0143i 0.593326 + 1.02767i 0.993781 + 0.111354i \(0.0355189\pi\)
−0.400455 + 0.916317i \(0.631148\pi\)
\(692\) −18.5506 11.9217i −0.705186 0.453196i
\(693\) −5.34423 4.93986i −0.203011 0.187650i
\(694\) 0.758324 + 1.66050i 0.0287856 + 0.0630316i
\(695\) 9.98398 + 41.1545i 0.378714 + 1.56108i
\(696\) 1.04638 + 1.46943i 0.0396628 + 0.0556986i
\(697\) 2.93942 + 8.49291i 0.111339 + 0.321692i
\(698\) 2.16809 0.867971i 0.0820633 0.0328532i
\(699\) 29.0243 8.52232i 1.09780 0.322344i
\(700\) 0.993565 + 2.73291i 0.0375532 + 0.103294i
\(701\) 10.7028 6.87826i 0.404238 0.259788i −0.322686 0.946506i \(-0.604586\pi\)
0.726924 + 0.686718i \(0.240949\pi\)
\(702\) −4.66130 2.40307i −0.175930 0.0906980i
\(703\) 15.5003 2.98744i 0.584605 0.112673i
\(704\) 0.648493 2.67313i 0.0244410 0.100747i
\(705\) −18.0728 + 7.23524i −0.680659 + 0.272495i
\(706\) 8.69502 10.0346i 0.327242 0.377657i
\(707\) 8.39590 + 2.32453i 0.315760 + 0.0874228i
\(708\) −1.96868 0.578057i −0.0739875 0.0217247i
\(709\) −11.8752 + 16.6764i −0.445983 + 0.626296i −0.974971 0.222334i \(-0.928633\pi\)
0.528987 + 0.848630i \(0.322572\pi\)
\(710\) 11.2835 + 4.51722i 0.423461 + 0.169528i
\(711\) −4.35389 + 2.24459i −0.163284 + 0.0841786i
\(712\) 5.99122 + 10.3771i 0.224531 + 0.388898i
\(713\) −15.6187 + 24.8441i −0.584927 + 0.930418i
\(714\) 1.03229 + 6.46652i 0.0386324 + 0.242003i
\(715\) −29.9697 19.2604i −1.12080 0.720297i
\(716\) −1.41429 + 1.11221i −0.0528546 + 0.0415653i
\(717\) 5.94003 + 0.567204i 0.221834 + 0.0211826i
\(718\) 17.8457 17.0158i 0.665996 0.635026i
\(719\) −40.0275 + 3.82217i −1.49278 + 0.142543i −0.809285 0.587417i \(-0.800145\pi\)
−0.683490 + 0.729959i \(0.739539\pi\)
\(720\) 1.61727 1.86642i 0.0602719 0.0695575i
\(721\) 3.67896 6.60656i 0.137012 0.246041i
\(722\) −5.38637 + 1.58158i −0.200460 + 0.0588603i
\(723\) 3.81571 11.0248i 0.141908 0.410015i
\(724\) 0.148753 + 3.12271i 0.00552836 + 0.116054i
\(725\) 0.0943391 + 1.98042i 0.00350367 + 0.0735510i
\(726\) 1.12310 3.24500i 0.0416823 0.120433i
\(727\) −14.0570 + 4.12750i −0.521344 + 0.153080i −0.531808 0.846865i \(-0.678487\pi\)
0.0104641 + 0.999945i \(0.496669\pi\)
\(728\) −7.12295 11.9072i −0.263994 0.441310i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 31.2152 2.98069i 1.15533 0.110320i
\(731\) −10.7147 + 10.2165i −0.396299 + 0.377870i
\(732\) 7.04850 + 0.673050i 0.260520 + 0.0248766i
\(733\) 27.6246 21.7242i 1.02034 0.802403i 0.0398946 0.999204i \(-0.487298\pi\)
0.980443 + 0.196801i \(0.0630554\pi\)
\(734\) −20.4138 13.1191i −0.753486 0.484236i
\(735\) 3.55298 16.9184i 0.131054 0.624044i
\(736\) −4.75358 0.635186i −0.175219 0.0234133i
\(737\) 14.3682 + 24.8865i 0.529260 + 0.916705i
\(738\) −3.22745 + 1.66387i −0.118804 + 0.0612478i
\(739\) 22.1882 + 8.88282i 0.816206 + 0.326760i 0.741929 0.670478i \(-0.233911\pi\)
0.0742769 + 0.997238i \(0.476335\pi\)
\(740\) −6.18065 + 8.67951i −0.227205 + 0.319065i
\(741\) 18.4101 + 5.40571i 0.676313 + 0.198584i
\(742\) −6.99599 27.0039i −0.256831 0.991344i
\(743\) 7.86058 9.07159i 0.288377 0.332804i −0.593014 0.805192i \(-0.702062\pi\)
0.881391 + 0.472388i \(0.156608\pi\)
\(744\) −5.68069 + 2.27421i −0.208264 + 0.0833765i
\(745\) 2.94876 12.1549i 0.108034 0.445323i
\(746\) −29.4979 + 5.68525i −1.07999 + 0.208152i
\(747\) −2.41451 1.24477i −0.0883423 0.0455436i
\(748\) 5.72730 3.68071i 0.209411 0.134580i
\(749\) −9.71079 26.7106i −0.354825 0.975985i
\(750\) −9.24358 + 2.71416i −0.337528 + 0.0991071i
\(751\) −7.27421 + 2.91216i −0.265440 + 0.106266i −0.500565 0.865699i \(-0.666874\pi\)
0.235125 + 0.971965i \(0.424450\pi\)
\(752\) 2.57816 + 7.44910i 0.0940158 + 0.271641i
\(753\) −14.9638 21.0137i −0.545310 0.765780i
\(754\) −2.23034 9.19359i −0.0812242 0.334811i
\(755\) −8.23184 18.0252i −0.299587 0.656005i
\(756\) −2.52672 + 0.784652i −0.0918960 + 0.0285375i
\(757\) −26.9923 17.3469i −0.981053 0.630485i −0.0513058 0.998683i \(-0.516338\pi\)
−0.929747 + 0.368198i \(0.879975\pi\)
\(758\) 2.04985 + 3.55044i 0.0744539 + 0.128958i
\(759\) 12.8502 + 2.98218i 0.466433 + 0.108246i
\(760\) −4.51785 + 7.82514i −0.163880 + 0.283848i
\(761\) 0.123156 2.58537i 0.00446442 0.0937197i −0.995535 0.0943894i \(-0.969910\pi\)
1.00000 0.000669696i \(0.000213171\pi\)
\(762\) −2.86157 19.9026i −0.103664 0.720996i
\(763\) 23.1758 15.4070i 0.839021 0.557769i
\(764\) −17.9795 5.27927i −0.650477 0.190997i
\(765\) 6.08482 0.581029i 0.219997 0.0210072i
\(766\) 6.20298 + 17.9223i 0.224123 + 0.647560i
\(767\) 8.45807 + 6.65150i 0.305403 + 0.240172i
\(768\) −0.723734 0.690079i −0.0261155 0.0249011i
\(769\) 12.8326 + 14.8096i 0.462756 + 0.534049i 0.938383 0.345598i \(-0.112324\pi\)
−0.475626 + 0.879648i \(0.657778\pi\)
\(770\) −17.5933 + 3.67453i −0.634018 + 0.132421i
\(771\) −2.63848 + 1.69565i −0.0950226 + 0.0610673i
\(772\) 2.93539 8.48125i 0.105647 0.305247i
\(773\) 5.58287 23.0129i 0.200802 0.827716i −0.778882 0.627170i \(-0.784213\pi\)
0.979684 0.200546i \(-0.0642717\pi\)
\(774\) −4.70184 3.69757i −0.169004 0.132906i
\(775\) −6.60380 1.27278i −0.237216 0.0457196i
\(776\) −3.21491 + 7.03968i −0.115409 + 0.252710i
\(777\) 10.5304 4.40632i 0.377776 0.158076i
\(778\) −1.73463 3.79830i −0.0621894 0.136176i
\(779\) 10.4429 8.21235i 0.374154 0.294238i
\(780\) −11.5117 + 5.93470i −0.412185 + 0.212496i
\(781\) −6.76858 + 11.7235i −0.242199 + 0.419501i
\(782\) −7.43013 9.25686i −0.265701 0.331025i
\(783\) −1.80392 −0.0644668
\(784\) −6.77435 1.76300i −0.241941 0.0629642i
\(785\) −5.13525 35.7164i −0.183285 1.27477i
\(786\) 4.14672 5.82326i 0.147909 0.207709i
\(787\) −32.3616 + 30.8567i −1.15357 + 1.09992i −0.159947 + 0.987126i \(0.551132\pi\)
−0.993618 + 0.112797i \(0.964019\pi\)
\(788\) 14.4448 + 20.2849i 0.514574 + 0.722619i
\(789\) 0.240617 + 0.0463751i 0.00856619 + 0.00165100i
\(790\) −1.72163 + 11.9742i −0.0612527 + 0.426022i
\(791\) 10.3711 15.0527i 0.368755 0.535212i
\(792\) 1.80130 + 2.07881i 0.0640064 + 0.0738674i
\(793\) −33.0046 17.0151i −1.17203 0.604223i
\(794\) −0.211983 4.45007i −0.00752299 0.157927i
\(795\) −25.5680 + 4.92782i −0.906803 + 0.174772i
\(796\) 5.84335 + 5.57163i 0.207112 + 0.197481i
\(797\) 2.81376 19.5701i 0.0996683 0.693208i −0.877318 0.479909i \(-0.840670\pi\)
0.976987 0.213300i \(-0.0684211\pi\)
\(798\) 8.53420 4.56849i 0.302107 0.161723i
\(799\) −8.10475 + 17.7469i −0.286726 + 0.627841i
\(800\) −0.259120 1.06811i −0.00916128 0.0377633i
\(801\) −11.9282 1.13900i −0.421462 0.0402447i
\(802\) −8.65155 3.46356i −0.305497 0.122302i
\(803\) −1.66182 + 34.8859i −0.0586444 + 1.23110i
\(804\) 10.4471 0.368441
\(805\) 9.59109 + 29.8323i 0.338042 + 1.05145i
\(806\) 32.0898 1.13032
\(807\) −0.319341 + 6.70379i −0.0112413 + 0.235985i
\(808\) −3.05686 1.22378i −0.107540 0.0430526i
\(809\) −31.7661 3.03329i −1.11683 0.106645i −0.479726 0.877418i \(-0.659264\pi\)
−0.637109 + 0.770774i \(0.719870\pi\)
\(810\) 0.582238 + 2.40002i 0.0204578 + 0.0843280i
\(811\) 20.8851 45.7319i 0.733374 1.60586i −0.0607825 0.998151i \(-0.519360\pi\)
0.794156 0.607714i \(-0.207913\pi\)
\(812\) −4.05458 2.51779i −0.142288 0.0883570i
\(813\) −2.40030 + 16.6945i −0.0841824 + 0.585501i
\(814\) −8.58910 8.18969i −0.301048 0.287048i
\(815\) −8.19915 + 1.58026i −0.287204 + 0.0553540i
\(816\) −0.117768 2.47226i −0.00412271 0.0865463i
\(817\) 19.4521 + 10.0283i 0.680544 + 0.350845i
\(818\) 3.77885 + 4.36103i 0.132124 + 0.152480i
\(819\) 13.8310 + 1.10466i 0.483295 + 0.0386001i
\(820\) −1.27621 + 8.87621i −0.0445671 + 0.309971i
\(821\) −15.2991 2.94867i −0.533943 0.102909i −0.0848495 0.996394i \(-0.527041\pi\)
−0.449094 + 0.893485i \(0.648253\pi\)
\(822\) 11.7862 + 16.5514i 0.411091 + 0.577296i
\(823\) 2.47422 2.35917i 0.0862460 0.0822354i −0.645730 0.763566i \(-0.723447\pi\)
0.731976 + 0.681330i \(0.238598\pi\)
\(824\) −1.65787 + 2.32815i −0.0577545 + 0.0811048i
\(825\) 0.430249 + 2.99245i 0.0149794 + 0.104184i
\(826\) 5.39530 0.599713i 0.187727 0.0208667i
\(827\) 10.7682 0.374447 0.187223 0.982317i \(-0.440051\pi\)
0.187223 + 0.982317i \(0.440051\pi\)
\(828\) 3.27476 3.50371i 0.113806 0.121762i
\(829\) 27.4870 47.6088i 0.954661 1.65352i 0.219520 0.975608i \(-0.429551\pi\)
0.735141 0.677914i \(-0.237116\pi\)
\(830\) −5.96296 + 3.07412i −0.206977 + 0.106704i
\(831\) 19.4334 15.2826i 0.674135 0.530146i
\(832\) 2.17855 + 4.77037i 0.0755278 + 0.165383i
\(833\) −9.12362 14.7285i −0.316115 0.510314i
\(834\) −7.12337 + 15.5980i −0.246662 + 0.540114i
\(835\) −13.3943 2.58154i −0.463529 0.0893379i
\(836\) −7.91076 6.22109i −0.273599 0.215161i
\(837\) 1.44261 5.94653i 0.0498640 0.205542i
\(838\) −2.77013 + 8.00376i −0.0956925 + 0.276485i
\(839\) −19.2407 + 12.3652i −0.664263 + 0.426896i −0.828853 0.559466i \(-0.811006\pi\)
0.164590 + 0.986362i \(0.447370\pi\)
\(840\) −2.04111 + 6.20705i −0.0704250 + 0.214164i
\(841\) 16.8600 + 19.4574i 0.581378 + 0.670946i
\(842\) 26.2877 + 25.0653i 0.905934 + 0.863806i
\(843\) −11.9719 9.41479i −0.412333 0.324263i
\(844\) 7.88842 + 22.7921i 0.271531 + 0.784537i
\(845\) 35.6537 3.40451i 1.22652 0.117119i
\(846\) −7.56334 2.22080i −0.260033 0.0763525i
\(847\) 0.572894 + 9.06705i 0.0196849 + 0.311548i
\(848\) 1.50049 + 10.4362i 0.0515272 + 0.358379i
\(849\) 1.01501 21.3078i 0.0348352 0.731281i
\(850\) 1.36016 2.35586i 0.0466530 0.0808053i
\(851\) −12.6280 + 16.3914i −0.432884 + 0.561889i
\(852\) 2.46071 + 4.26207i 0.0843025 + 0.146016i
\(853\) −21.1493 13.5918i −0.724137 0.465375i 0.125936 0.992038i \(-0.459806\pi\)
−0.850074 + 0.526663i \(0.823443\pi\)
\(854\) −17.8906 + 5.55577i −0.612204 + 0.190115i
\(855\) −3.75356 8.21916i −0.128369 0.281089i
\(856\) 2.53256 + 10.4393i 0.0865610 + 0.356810i
\(857\) −27.0002 37.9165i −0.922311 1.29520i −0.955266 0.295748i \(-0.904431\pi\)
0.0329552 0.999457i \(-0.489508\pi\)
\(858\) −4.71804 13.6319i −0.161071 0.465384i
\(859\) −25.1556 + 10.0708i −0.858297 + 0.343610i −0.758718 0.651419i \(-0.774174\pi\)
−0.0995790 + 0.995030i \(0.531750\pi\)
\(860\) −14.1739 + 4.16185i −0.483327 + 0.141918i
\(861\) 6.17795 7.35712i 0.210544 0.250730i
\(862\) −25.1308 + 16.1506i −0.855957 + 0.550090i
\(863\) −5.13527 2.64742i −0.174807 0.0901191i 0.368602 0.929587i \(-0.379836\pi\)
−0.543409 + 0.839468i \(0.682867\pi\)
\(864\) 0.981929 0.189251i 0.0334059 0.00643846i
\(865\) 12.8390 52.9230i 0.436539 1.79944i
\(866\) −9.35469 + 3.74505i −0.317885 + 0.127262i
\(867\) −7.12100 + 8.21808i −0.241842 + 0.279100i
\(868\) 11.5422 11.3522i 0.391769 0.385319i
\(869\) −12.9281 3.79604i −0.438556 0.128772i
\(870\) −2.58416 + 3.62895i −0.0876114 + 0.123033i
\(871\) −50.8630 20.3625i −1.72343 0.689956i
\(872\) −9.34935 + 4.81992i −0.316609 + 0.163223i
\(873\) −3.86952 6.70221i −0.130963 0.226835i
\(874\) −9.33886 + 14.8549i −0.315892 + 0.502476i
\(875\) 19.7888 16.0647i 0.668985 0.543086i
\(876\) 10.6815 + 6.86458i 0.360894 + 0.231933i
\(877\) 20.8984 16.4347i 0.705688 0.554959i −0.199538 0.979890i \(-0.563944\pi\)
0.905226 + 0.424931i \(0.139702\pi\)
\(878\) −2.25432 0.215261i −0.0760794 0.00726471i
\(879\) −1.40974 + 1.34419i −0.0475494 + 0.0453383i
\(880\) 6.76237 0.645728i 0.227959 0.0217675i
\(881\) 25.6721 29.6271i 0.864913 0.998163i −0.135060 0.990837i \(-0.543123\pi\)
0.999973 0.00732578i \(-0.00233189\pi\)
\(882\) 5.36561 4.49558i 0.180669 0.151374i
\(883\) −9.30701 + 2.73279i −0.313206 + 0.0919656i −0.434558 0.900644i \(-0.643095\pi\)
0.121352 + 0.992610i \(0.461277\pi\)
\(884\) −4.24532 + 12.2660i −0.142785 + 0.412551i
\(885\) −0.241106 5.06143i −0.00810468 0.170138i
\(886\) −0.0764082 1.60401i −0.00256698 0.0538876i
\(887\) 8.07192 23.3223i 0.271029 0.783086i −0.724556 0.689216i \(-0.757955\pi\)
0.995584 0.0938697i \(-0.0299237\pi\)
\(888\) −4.13974 + 1.21554i −0.138921 + 0.0407908i
\(889\) 27.3103 + 45.6538i 0.915959 + 1.53118i
\(890\) −19.3788 + 22.3643i −0.649579 + 0.749654i
\(891\) −2.73821 + 0.261467i −0.0917334 + 0.00875948i
\(892\) −0.273997 + 0.261256i −0.00917411 + 0.00874750i
\(893\) 28.7098 + 2.74145i 0.960736 + 0.0917392i
\(894\) 3.98098 3.13068i 0.133144 0.104706i
\(895\) −3.73807 2.40231i −0.124950 0.0803003i
\(896\) 2.47118 + 0.945137i 0.0825562 + 0.0315748i
\(897\) −22.7726 + 10.6754i −0.760356 + 0.356442i
\(898\) −8.62873 14.9454i −0.287944 0.498734i
\(899\) 9.81115 5.05800i 0.327220 0.168694i
\(900\) 1.02036 + 0.408490i 0.0340120 + 0.0136163i
\(901\) −15.1370 + 21.2570i −0.504287 + 0.708172i
\(902\) −9.58335 2.81393i −0.319091 0.0936935i
\(903\) 15.2520 + 4.22275i 0.507555 + 0.140524i
\(904\) −4.52446 + 5.22150i −0.150481 + 0.173665i
\(905\) −7.16764 + 2.86949i −0.238260 + 0.0953850i
\(906\) 1.89169 7.79766i 0.0628473 0.259060i
\(907\) −25.8324 + 4.97878i −0.857750 + 0.165318i −0.599121 0.800659i \(-0.704483\pi\)
−0.258630 + 0.965977i \(0.583271\pi\)
\(908\) 9.76723 + 5.03536i 0.324137 + 0.167104i
\(909\) 2.77002 1.78018i 0.0918758 0.0590450i
\(910\) 22.0356 26.2415i 0.730473 0.869896i
\(911\) 45.0896 13.2395i 1.49389 0.438645i 0.570107 0.821570i \(-0.306902\pi\)
0.923779 + 0.382926i \(0.125083\pi\)
\(912\) −3.39664 + 1.35981i −0.112474 + 0.0450278i
\(913\) −2.44390 7.06118i −0.0808812 0.233691i
\(914\) 14.0915 + 19.7888i 0.466106 + 0.654555i
\(915\) 4.12257 + 16.9935i 0.136288 + 0.561787i
\(916\) −1.28678 2.81766i −0.0425165 0.0930981i
\(917\) −4.17371 + 18.4478i −0.137828 + 0.609198i
\(918\) 2.08215 + 1.33812i 0.0687213 + 0.0441645i
\(919\) −7.98141 13.8242i −0.263282 0.456019i 0.703830 0.710369i \(-0.251472\pi\)
−0.967112 + 0.254350i \(0.918138\pi\)
\(920\) −2.35725 11.6070i −0.0777162 0.382671i
\(921\) 16.4742 28.5341i 0.542843 0.940231i
\(922\) 1.68689 35.4122i 0.0555548 1.16624i
\(923\) −3.67305 25.5466i −0.120900 0.840877i
\(924\) −6.51947 3.23411i −0.214475 0.106395i
\(925\) −4.54994 1.33598i −0.149601 0.0439269i
\(926\) −15.8441 + 1.51293i −0.520668 + 0.0497178i
\(927\) −0.934796 2.70091i −0.0307027 0.0887097i
\(928\) 1.41798 + 1.11511i 0.0465473 + 0.0366052i
\(929\) −29.6465 28.2679i −0.972669 0.927438i 0.0247167 0.999694i \(-0.492132\pi\)
−0.997386 + 0.0722561i \(0.976980\pi\)
\(930\) −9.89607 11.4207i −0.324505 0.374499i
\(931\) −16.1637 + 19.8661i −0.529743 + 0.651085i
\(932\) 25.4476 16.3542i 0.833565 0.535700i
\(933\) −6.57404 + 18.9944i −0.215224 + 0.621850i
\(934\) −5.49345 + 22.6443i −0.179751 + 0.740945i
\(935\) 13.2162 + 10.3934i 0.432217 + 0.339899i
\(936\) −5.14951 0.992487i −0.168317 0.0324405i
\(937\) 23.0415 50.4538i 0.752732 1.64825i −0.00865965 0.999963i \(-0.502756\pi\)
0.761392 0.648292i \(-0.224516\pi\)
\(938\) −25.4982 + 10.6694i −0.832545 + 0.348368i
\(939\) 10.0651 + 22.0394i 0.328461 + 0.719229i
\(940\) −15.3023 + 12.0338i −0.499105 + 0.392501i
\(941\) −39.0147 + 20.1135i −1.27184 + 0.655680i −0.956065 0.293154i \(-0.905295\pi\)
−0.315776 + 0.948834i \(0.602265\pi\)
\(942\) 7.30548 12.6535i 0.238025 0.412272i
\(943\) −3.12511 + 17.1314i −0.101768 + 0.557876i
\(944\) −2.05179 −0.0667801
\(945\) −3.87215 5.26308i −0.125961 0.171208i
\(946\) −2.34155 16.2859i −0.0761304 0.529499i
\(947\) −7.87788 + 11.0629i −0.255997 + 0.359497i −0.922495 0.386010i \(-0.873853\pi\)
0.666498 + 0.745507i \(0.267792\pi\)
\(948\) −3.54515 + 3.38030i −0.115141 + 0.109787i
\(949\) −38.6244 54.2404i −1.25380 1.76072i
\(950\) −3.94859 0.761028i −0.128109 0.0246910i
\(951\) 0.397171 2.76239i 0.0128792 0.0895765i
\(952\) 2.81230 + 5.91375i 0.0911472 + 0.191666i
\(953\) −6.23710 7.19800i −0.202039 0.233166i 0.645684 0.763605i \(-0.276573\pi\)
−0.847723 + 0.530439i \(0.822027\pi\)
\(954\) −9.37142 4.83130i −0.303411 0.156419i
\(955\) −2.20197 46.2250i −0.0712540 1.49581i
\(956\) 5.85922 1.12927i 0.189501 0.0365232i
\(957\) −3.59115 3.42415i −0.116085 0.110687i
\(958\) −3.99526 + 27.7877i −0.129081 + 0.897779i
\(959\) −45.6701 28.3599i −1.47476 0.915789i
\(960\) 1.02592 2.24646i 0.0331115 0.0725041i
\(961\) 1.51883 + 6.26071i 0.0489946 + 0.201958i
\(962\) 22.5240 + 2.15079i 0.726204 + 0.0693441i
\(963\) −9.97267 3.99245i −0.321365 0.128655i
\(964\) 0.555110 11.6532i 0.0178789 0.375324i
\(965\) 22.1646 0.713504
\(966\) −4.41441 + 11.8959i −0.142031 + 0.382745i
\(967\) 47.3479 1.52261 0.761303 0.648396i \(-0.224560\pi\)
0.761303 + 0.648396i \(0.224560\pi\)
\(968\) 0.163390 3.42997i 0.00525154 0.110243i
\(969\) −8.40689 3.36561i −0.270068 0.108119i
\(970\) −19.0261 1.81677i −0.610890 0.0583329i
\(971\) 14.0780 + 58.0303i 0.451785 + 1.86228i 0.504090 + 0.863651i \(0.331828\pi\)
−0.0523054 + 0.998631i \(0.516657\pi\)
\(972\) −0.415415 + 0.909632i −0.0133244 + 0.0291765i
\(973\) 1.45605 45.3449i 0.0466788 1.45369i
\(974\) −2.85949 + 19.8882i −0.0916240 + 0.637259i
\(975\) −4.17156 3.97757i −0.133597 0.127384i
\(976\) 6.95260 1.34000i 0.222547 0.0428925i
\(977\) −2.59742 54.5265i −0.0830988 1.74446i −0.528327 0.849041i \(-0.677180\pi\)
0.445228 0.895417i \(-0.353123\pi\)
\(978\) −3.00523 1.54930i −0.0960967 0.0495413i
\(979\) −21.5840 24.9092i −0.689827 0.796103i
\(980\) −1.35740 17.2341i −0.0433607 0.550522i
\(981\) 1.49696 10.4116i 0.0477942 0.332416i
\(982\) −38.9478 7.50657i −1.24287 0.239544i
\(983\) −2.17953 3.06072i −0.0695161 0.0976217i 0.778354 0.627825i \(-0.216055\pi\)
−0.847870 + 0.530204i \(0.822115\pi\)
\(984\) −2.62795 + 2.50575i −0.0837760 + 0.0798803i
\(985\) −35.6733 + 50.0962i −1.13665 + 1.59620i
\(986\) 0.635409 + 4.41936i 0.0202355 + 0.140741i
\(987\) 20.7278 2.30399i 0.659775 0.0733370i
\(988\) 19.1874 0.610431
\(989\) −27.8093 + 7.04058i −0.884284 + 0.223877i
\(990\) −3.39656 + 5.88302i −0.107950 + 0.186975i
\(991\) −6.26996 + 3.23239i −0.199172 + 0.102680i −0.554927 0.831899i \(-0.687254\pi\)
0.355755 + 0.934579i \(0.384224\pi\)
\(992\) −4.80987 + 3.78252i −0.152713 + 0.120095i
\(993\) 10.4080 + 22.7904i 0.330288 + 0.723230i
\(994\) −10.3586 7.88935i −0.328555 0.250235i
\(995\) −8.28319 + 18.1377i −0.262595 + 0.575003i
\(996\) −2.66740 0.514099i −0.0845197 0.0162898i
\(997\) 14.8121 + 11.6483i 0.469102 + 0.368906i 0.824549 0.565790i \(-0.191429\pi\)
−0.355447 + 0.934697i \(0.615671\pi\)
\(998\) 9.53673 39.3109i 0.301880 1.24437i
\(999\) 1.41114 4.07721i 0.0446464 0.128997i
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 966.2.y.a.25.3 160
7.2 even 3 inner 966.2.y.a.163.3 yes 160
23.12 even 11 inner 966.2.y.a.403.3 yes 160
161.58 even 33 inner 966.2.y.a.541.3 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.y.a.25.3 160 1.1 even 1 trivial
966.2.y.a.163.3 yes 160 7.2 even 3 inner
966.2.y.a.403.3 yes 160 23.12 even 11 inner
966.2.y.a.541.3 yes 160 161.58 even 33 inner