Properties

Label 966.2.s.b.97.3
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(97,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.97");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.3
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.b.727.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.959493 + 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.141036 + 0.980930i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-0.385560 - 2.61751i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(0.959493 + 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.141036 + 0.980930i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-0.385560 - 2.61751i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-0.411683 + 0.901461i) q^{10} +(1.43187 + 4.87648i) q^{11} +(-0.281733 - 0.959493i) q^{12} +(0.531256 + 0.242617i) q^{13} +(0.367494 - 2.62010i) q^{14} +(0.748961 - 0.648978i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-1.18800 + 0.763482i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(6.13357 + 3.94181i) q^{19} +(-0.648978 + 0.748961i) q^{20} +(-1.42272 + 2.23067i) q^{21} +5.08236i q^{22} +(-0.611708 - 4.75666i) q^{23} -1.00000i q^{24} +(3.85513 + 1.13197i) q^{25} +(0.441383 + 0.382461i) q^{26} +(0.540641 - 0.841254i) q^{27} +(1.09078 - 2.41044i) q^{28} +(-1.77193 + 1.13875i) q^{29} +(0.901461 - 0.411683i) q^{30} +(4.87069 - 4.22047i) q^{31} +(0.142315 + 0.989821i) q^{32} +(2.11129 - 4.62307i) q^{33} +(-1.35498 + 0.397857i) q^{34} +(2.62197 - 0.00904396i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(7.17448 - 1.03153i) q^{37} +(4.77459 + 5.51017i) q^{38} +(-0.242617 - 0.531256i) q^{39} +(-0.833696 + 0.535784i) q^{40} +(-4.32573 - 0.621947i) q^{41} +(-1.99354 + 1.73949i) q^{42} +(5.68980 + 4.93024i) q^{43} +(-1.43187 + 4.87648i) q^{44} -0.991017 q^{45} +(0.753176 - 4.73632i) q^{46} +10.2475i q^{47} +(0.281733 - 0.959493i) q^{48} +(-6.70269 + 2.01841i) q^{49} +(3.38006 + 2.17223i) q^{50} +(1.39781 + 0.200974i) q^{51} +(0.315753 + 0.491321i) q^{52} +(4.84510 - 2.21268i) q^{53} +(0.755750 - 0.654861i) q^{54} +(-4.98543 + 0.716797i) q^{55} +(1.72569 - 2.00549i) q^{56} +(-2.05411 - 6.99566i) q^{57} +(-2.02098 + 0.593414i) q^{58} +(4.61316 + 2.10676i) q^{59} +(0.980930 - 0.141036i) q^{60} +(-5.18712 - 5.98626i) q^{61} +(5.86244 - 2.67728i) q^{62} +(2.53599 - 0.754146i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-0.312916 + 0.486907i) q^{65} +(3.32824 - 3.84099i) q^{66} +(-0.464082 + 1.58052i) q^{67} -1.41218 q^{68} +(-2.65265 + 3.99543i) q^{69} +(2.51831 + 0.730016i) q^{70} +(-5.59116 - 1.64171i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(-0.459050 + 0.714296i) q^{73} +(7.17448 + 1.03153i) q^{74} +(-2.17223 - 3.38006i) q^{75} +(3.02879 + 6.63212i) q^{76} +(12.2122 - 5.62810i) q^{77} +(-0.0831167 - 0.578089i) q^{78} +(-15.2931 - 6.98414i) q^{79} +(-0.950874 + 0.279202i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-3.97529 - 1.81545i) q^{82} +(2.41809 + 16.8182i) q^{83} +(-2.40285 + 1.10738i) q^{84} +(-0.581371 - 1.27302i) q^{85} +(4.07032 + 6.33353i) q^{86} +(2.08486 + 0.299758i) q^{87} +(-2.74773 + 4.27555i) q^{88} +(0.615761 - 0.710626i) q^{89} +(-0.950874 - 0.279202i) q^{90} +(0.430219 - 1.48411i) q^{91} +(2.05704 - 4.33227i) q^{92} -6.44484 q^{93} +(-2.88704 + 9.83236i) q^{94} +(-4.73170 + 5.46067i) q^{95} +(0.540641 - 0.841254i) q^{96} +(0.217190 - 1.51059i) q^{97} +(-6.99983 + 0.0482896i) q^{98} +(-4.62307 + 2.11129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959493 + 0.281733i 0.678464 + 0.199215i
\(3\) −0.755750 0.654861i −0.436332 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) −0.141036 + 0.980930i −0.0630734 + 0.438685i 0.933676 + 0.358119i \(0.116582\pi\)
−0.996749 + 0.0805660i \(0.974327\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) −0.385560 2.61751i −0.145728 0.989325i
\(8\) 0.654861 + 0.755750i 0.231528 + 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) −0.411683 + 0.901461i −0.130186 + 0.285067i
\(11\) 1.43187 + 4.87648i 0.431724 + 1.47032i 0.832441 + 0.554114i \(0.186943\pi\)
−0.400717 + 0.916202i \(0.631239\pi\)
\(12\) −0.281733 0.959493i −0.0813292 0.276982i
\(13\) 0.531256 + 0.242617i 0.147344 + 0.0672897i 0.487722 0.872999i \(-0.337828\pi\)
−0.340378 + 0.940289i \(0.610555\pi\)
\(14\) 0.367494 2.62010i 0.0982170 0.700252i
\(15\) 0.748961 0.648978i 0.193381 0.167565i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −1.18800 + 0.763482i −0.288133 + 0.185172i −0.676720 0.736240i \(-0.736599\pi\)
0.388588 + 0.921412i \(0.372963\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) 6.13357 + 3.94181i 1.40714 + 0.904313i 0.999959 0.00903518i \(-0.00287603\pi\)
0.407179 + 0.913348i \(0.366512\pi\)
\(20\) −0.648978 + 0.748961i −0.145116 + 0.167473i
\(21\) −1.42272 + 2.23067i −0.310462 + 0.486772i
\(22\) 5.08236i 1.08356i
\(23\) −0.611708 4.75666i −0.127550 0.991832i
\(24\) 1.00000i 0.204124i
\(25\) 3.85513 + 1.13197i 0.771027 + 0.226394i
\(26\) 0.441383 + 0.382461i 0.0865624 + 0.0750068i
\(27\) 0.540641 0.841254i 0.104046 0.161899i
\(28\) 1.09078 2.41044i 0.206137 0.455530i
\(29\) −1.77193 + 1.13875i −0.329040 + 0.211461i −0.694721 0.719279i \(-0.744472\pi\)
0.365681 + 0.930740i \(0.380836\pi\)
\(30\) 0.901461 0.411683i 0.164583 0.0751627i
\(31\) 4.87069 4.22047i 0.874801 0.758020i −0.0966350 0.995320i \(-0.530808\pi\)
0.971436 + 0.237300i \(0.0762625\pi\)
\(32\) 0.142315 + 0.989821i 0.0251579 + 0.174977i
\(33\) 2.11129 4.62307i 0.367528 0.804774i
\(34\) −1.35498 + 0.397857i −0.232377 + 0.0682319i
\(35\) 2.62197 0.00904396i 0.443194 0.00152871i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 7.17448 1.03153i 1.17948 0.169583i 0.475441 0.879748i \(-0.342289\pi\)
0.704036 + 0.710164i \(0.251379\pi\)
\(38\) 4.77459 + 5.51017i 0.774540 + 0.893867i
\(39\) −0.242617 0.531256i −0.0388497 0.0850691i
\(40\) −0.833696 + 0.535784i −0.131819 + 0.0847149i
\(41\) −4.32573 0.621947i −0.675566 0.0971317i −0.204011 0.978969i \(-0.565398\pi\)
−0.471555 + 0.881837i \(0.656307\pi\)
\(42\) −1.99354 + 1.73949i −0.307609 + 0.268408i
\(43\) 5.68980 + 4.93024i 0.867687 + 0.751855i 0.970053 0.242892i \(-0.0780960\pi\)
−0.102367 + 0.994747i \(0.532641\pi\)
\(44\) −1.43187 + 4.87648i −0.215862 + 0.735158i
\(45\) −0.991017 −0.147732
\(46\) 0.753176 4.73632i 0.111050 0.698332i
\(47\) 10.2475i 1.49475i 0.664405 + 0.747373i \(0.268685\pi\)
−0.664405 + 0.747373i \(0.731315\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) −6.70269 + 2.01841i −0.957527 + 0.288345i
\(50\) 3.38006 + 2.17223i 0.478013 + 0.307200i
\(51\) 1.39781 + 0.200974i 0.195732 + 0.0281420i
\(52\) 0.315753 + 0.491321i 0.0437870 + 0.0681339i
\(53\) 4.84510 2.21268i 0.665525 0.303935i −0.0538581 0.998549i \(-0.517152\pi\)
0.719383 + 0.694614i \(0.244425\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) −4.98543 + 0.716797i −0.672236 + 0.0966529i
\(56\) 1.72569 2.00549i 0.230605 0.267995i
\(57\) −2.05411 6.99566i −0.272074 0.926598i
\(58\) −2.02098 + 0.593414i −0.265368 + 0.0779191i
\(59\) 4.61316 + 2.10676i 0.600583 + 0.274277i 0.692417 0.721497i \(-0.256546\pi\)
−0.0918344 + 0.995774i \(0.529273\pi\)
\(60\) 0.980930 0.141036i 0.126637 0.0182077i
\(61\) −5.18712 5.98626i −0.664143 0.766462i 0.319305 0.947652i \(-0.396550\pi\)
−0.983448 + 0.181190i \(0.942005\pi\)
\(62\) 5.86244 2.67728i 0.744530 0.340016i
\(63\) 2.53599 0.754146i 0.319505 0.0950135i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −0.312916 + 0.486907i −0.0388125 + 0.0603934i
\(66\) 3.32824 3.84099i 0.409677 0.472793i
\(67\) −0.464082 + 1.58052i −0.0566967 + 0.193091i −0.982972 0.183757i \(-0.941174\pi\)
0.926275 + 0.376848i \(0.122992\pi\)
\(68\) −1.41218 −0.171252
\(69\) −2.65265 + 3.99543i −0.319342 + 0.480993i
\(70\) 2.51831 + 0.730016i 0.300995 + 0.0872536i
\(71\) −5.59116 1.64171i −0.663548 0.194835i −0.0674203 0.997725i \(-0.521477\pi\)
−0.596128 + 0.802889i \(0.703295\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) −0.459050 + 0.714296i −0.0537278 + 0.0836021i −0.867078 0.498172i \(-0.834005\pi\)
0.813350 + 0.581774i \(0.197641\pi\)
\(74\) 7.17448 + 1.03153i 0.834016 + 0.119913i
\(75\) −2.17223 3.38006i −0.250828 0.390296i
\(76\) 3.02879 + 6.63212i 0.347426 + 0.760757i
\(77\) 12.2122 5.62810i 1.39171 0.641381i
\(78\) −0.0831167 0.578089i −0.00941111 0.0654557i
\(79\) −15.2931 6.98414i −1.72061 0.785777i −0.995244 0.0974157i \(-0.968942\pi\)
−0.725368 0.688361i \(-0.758330\pi\)
\(80\) −0.950874 + 0.279202i −0.106311 + 0.0312157i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −3.97529 1.81545i −0.438997 0.200483i
\(83\) 2.41809 + 16.8182i 0.265420 + 1.84604i 0.490177 + 0.871623i \(0.336932\pi\)
−0.224757 + 0.974415i \(0.572159\pi\)
\(84\) −2.40285 + 1.10738i −0.262173 + 0.120825i
\(85\) −0.581371 1.27302i −0.0630585 0.138079i
\(86\) 4.07032 + 6.33353i 0.438913 + 0.682963i
\(87\) 2.08486 + 0.299758i 0.223521 + 0.0321374i
\(88\) −2.74773 + 4.27555i −0.292909 + 0.455775i
\(89\) 0.615761 0.710626i 0.0652705 0.0753262i −0.722175 0.691710i \(-0.756858\pi\)
0.787446 + 0.616384i \(0.211403\pi\)
\(90\) −0.950874 0.279202i −0.100231 0.0294304i
\(91\) 0.430219 1.48411i 0.0450992 0.155577i
\(92\) 2.05704 4.33227i 0.214462 0.451670i
\(93\) −6.44484 −0.668299
\(94\) −2.88704 + 9.83236i −0.297776 + 1.01413i
\(95\) −4.73170 + 5.46067i −0.485462 + 0.560253i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) 0.217190 1.51059i 0.0220523 0.153377i −0.975820 0.218576i \(-0.929859\pi\)
0.997872 + 0.0651984i \(0.0207680\pi\)
\(98\) −6.99983 + 0.0482896i −0.707090 + 0.00487799i
\(99\) −4.62307 + 2.11129i −0.464636 + 0.212192i
\(100\) 2.63116 + 3.03652i 0.263116 + 0.303652i
\(101\) −12.3625 + 1.77746i −1.23012 + 0.176864i −0.726564 0.687099i \(-0.758884\pi\)
−0.503554 + 0.863964i \(0.667975\pi\)
\(102\) 1.28456 + 0.586641i 0.127191 + 0.0580861i
\(103\) 7.36092 2.16136i 0.725293 0.212965i 0.101812 0.994804i \(-0.467536\pi\)
0.623481 + 0.781838i \(0.285718\pi\)
\(104\) 0.164541 + 0.560377i 0.0161346 + 0.0549494i
\(105\) −1.98747 1.71019i −0.193958 0.166897i
\(106\) 5.27222 0.758031i 0.512083 0.0736264i
\(107\) 11.4858 9.95253i 1.11038 0.962147i 0.110879 0.993834i \(-0.464633\pi\)
0.999498 + 0.0316870i \(0.0100880\pi\)
\(108\) 0.909632 0.415415i 0.0875294 0.0399733i
\(109\) −8.91074 13.8654i −0.853494 1.32806i −0.943245 0.332099i \(-0.892243\pi\)
0.0897504 0.995964i \(-0.471393\pi\)
\(110\) −4.98543 0.716797i −0.475342 0.0683439i
\(111\) −6.09762 3.91870i −0.578760 0.371947i
\(112\) 2.22080 1.43807i 0.209846 0.135885i
\(113\) −0.915535 + 3.11803i −0.0861263 + 0.293319i −0.991281 0.131762i \(-0.957936\pi\)
0.905155 + 0.425082i \(0.139755\pi\)
\(114\) 7.29099i 0.682864i
\(115\) 4.75222 + 0.0708197i 0.443147 + 0.00660397i
\(116\) −2.10630 −0.195565
\(117\) −0.164541 + 0.560377i −0.0152119 + 0.0518068i
\(118\) 3.83276 + 3.32110i 0.352834 + 0.305732i
\(119\) 2.45647 + 2.81523i 0.225184 + 0.258072i
\(120\) 0.980930 + 0.141036i 0.0895462 + 0.0128748i
\(121\) −12.4761 + 8.01789i −1.13419 + 0.728899i
\(122\) −3.29048 7.20515i −0.297906 0.652324i
\(123\) 2.86188 + 3.30279i 0.258047 + 0.297802i
\(124\) 6.37924 0.917197i 0.572873 0.0823667i
\(125\) −3.71251 + 8.12927i −0.332057 + 0.727104i
\(126\) 2.64574 0.00912594i 0.235701 0.000813003i
\(127\) −1.15993 + 0.340585i −0.102927 + 0.0302220i −0.332790 0.943001i \(-0.607990\pi\)
0.229864 + 0.973223i \(0.426172\pi\)
\(128\) −0.415415 + 0.909632i −0.0367178 + 0.0804009i
\(129\) −1.07144 7.45206i −0.0943354 0.656117i
\(130\) −0.437419 + 0.379025i −0.0383641 + 0.0332427i
\(131\) 1.70592 0.779067i 0.149047 0.0680674i −0.339495 0.940608i \(-0.610256\pi\)
0.488542 + 0.872540i \(0.337529\pi\)
\(132\) 4.27555 2.74773i 0.372139 0.239159i
\(133\) 7.95285 17.5745i 0.689599 1.52390i
\(134\) −0.890568 + 1.38575i −0.0769333 + 0.119711i
\(135\) 0.748961 + 0.648978i 0.0644603 + 0.0558551i
\(136\) −1.35498 0.397857i −0.116188 0.0341160i
\(137\) 13.2530i 1.13228i −0.824310 0.566139i \(-0.808437\pi\)
0.824310 0.566139i \(-0.191563\pi\)
\(138\) −3.67084 + 3.08625i −0.312483 + 0.262719i
\(139\) 5.93564i 0.503455i −0.967798 0.251727i \(-0.919001\pi\)
0.967798 0.251727i \(-0.0809986\pi\)
\(140\) 2.21063 + 1.40994i 0.186832 + 0.119161i
\(141\) 6.71066 7.74451i 0.565139 0.652206i
\(142\) −4.90215 3.15042i −0.411380 0.264378i
\(143\) −0.422429 + 2.93806i −0.0353253 + 0.245693i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) −0.867129 1.89875i −0.0720112 0.157682i
\(146\) −0.641696 + 0.556033i −0.0531072 + 0.0460176i
\(147\) 6.38733 + 2.86391i 0.526818 + 0.236211i
\(148\) 6.59324 + 3.01103i 0.541961 + 0.247505i
\(149\) −6.00676 20.4572i −0.492093 1.67592i −0.713436 0.700720i \(-0.752862\pi\)
0.221343 0.975196i \(-0.428956\pi\)
\(150\) −1.13197 3.85513i −0.0924249 0.314770i
\(151\) 0.613530 1.34344i 0.0499284 0.109328i −0.883024 0.469328i \(-0.844496\pi\)
0.932952 + 0.360000i \(0.117223\pi\)
\(152\) 1.03762 + 7.21678i 0.0841618 + 0.585358i
\(153\) −0.924781 1.06725i −0.0747641 0.0862824i
\(154\) 13.3031 1.95956i 1.07199 0.157905i
\(155\) 3.45305 + 5.37304i 0.277355 + 0.431573i
\(156\) 0.0831167 0.578089i 0.00665466 0.0462842i
\(157\) −0.0524596 0.0337138i −0.00418674 0.00269065i 0.538546 0.842596i \(-0.318974\pi\)
−0.542733 + 0.839906i \(0.682610\pi\)
\(158\) −12.7060 11.0098i −1.01083 0.875893i
\(159\) −5.11068 1.50063i −0.405303 0.119008i
\(160\) −0.991017 −0.0783468
\(161\) −12.2147 + 3.43513i −0.962656 + 0.270726i
\(162\) −1.00000 −0.0785674
\(163\) −1.49980 0.440381i −0.117473 0.0344933i 0.222468 0.974940i \(-0.428589\pi\)
−0.339941 + 0.940447i \(0.610407\pi\)
\(164\) −3.30279 2.86188i −0.257904 0.223476i
\(165\) 4.23714 + 2.72305i 0.329861 + 0.211989i
\(166\) −2.41809 + 16.8182i −0.187680 + 1.30535i
\(167\) 3.68455 + 5.73327i 0.285119 + 0.443654i 0.954040 0.299680i \(-0.0968799\pi\)
−0.668921 + 0.743334i \(0.733244\pi\)
\(168\) −2.61751 + 0.385560i −0.201945 + 0.0297466i
\(169\) −8.28982 9.56696i −0.637678 0.735920i
\(170\) −0.199169 1.38525i −0.0152756 0.106244i
\(171\) −3.02879 + 6.63212i −0.231617 + 0.507171i
\(172\) 2.12108 + 7.22372i 0.161731 + 0.550804i
\(173\) −4.87713 16.6100i −0.370801 1.26283i −0.907855 0.419285i \(-0.862281\pi\)
0.537054 0.843548i \(-0.319537\pi\)
\(174\) 1.91596 + 0.874990i 0.145249 + 0.0663328i
\(175\) 1.47655 10.5273i 0.111617 0.795788i
\(176\) −3.84099 + 3.32824i −0.289525 + 0.250875i
\(177\) −2.10676 4.61316i −0.158354 0.346747i
\(178\) 0.791024 0.508360i 0.0592898 0.0381032i
\(179\) −1.19287 + 8.29663i −0.0891596 + 0.620119i 0.895425 + 0.445212i \(0.146872\pi\)
−0.984585 + 0.174907i \(0.944037\pi\)
\(180\) −0.833696 0.535784i −0.0621401 0.0399350i
\(181\) −8.21106 + 9.47606i −0.610323 + 0.704350i −0.973839 0.227238i \(-0.927031\pi\)
0.363516 + 0.931588i \(0.381576\pi\)
\(182\) 0.830914 1.30279i 0.0615915 0.0965689i
\(183\) 7.92095i 0.585534i
\(184\) 3.19426 3.57725i 0.235484 0.263718i
\(185\) 7.18314i 0.528115i
\(186\) −6.18378 1.81572i −0.453417 0.133135i
\(187\) −5.42417 4.70007i −0.396654 0.343703i
\(188\) −5.54019 + 8.62071i −0.404060 + 0.628730i
\(189\) −2.41044 1.09078i −0.175333 0.0793424i
\(190\) −6.07848 + 3.90640i −0.440979 + 0.283400i
\(191\) −2.30748 + 1.05379i −0.166964 + 0.0762498i −0.497144 0.867668i \(-0.665618\pi\)
0.330180 + 0.943918i \(0.392891\pi\)
\(192\) 0.755750 0.654861i 0.0545415 0.0472605i
\(193\) 2.59446 + 18.0449i 0.186754 + 1.29890i 0.840345 + 0.542052i \(0.182352\pi\)
−0.653592 + 0.756848i \(0.726739\pi\)
\(194\) 0.633975 1.38821i 0.0455168 0.0996678i
\(195\) 0.555343 0.163063i 0.0397689 0.0116772i
\(196\) −6.72990 1.92575i −0.480707 0.137553i
\(197\) −5.46913 + 11.9757i −0.389660 + 0.853235i 0.608555 + 0.793511i \(0.291749\pi\)
−0.998215 + 0.0597240i \(0.980978\pi\)
\(198\) −5.03062 + 0.723295i −0.357511 + 0.0514023i
\(199\) −12.4886 14.4126i −0.885292 1.02168i −0.999601 0.0282366i \(-0.991011\pi\)
0.114309 0.993445i \(-0.463535\pi\)
\(200\) 1.66909 + 3.65480i 0.118022 + 0.258433i
\(201\) 1.38575 0.890568i 0.0977433 0.0628158i
\(202\) −12.3625 1.77746i −0.869825 0.125062i
\(203\) 3.66388 + 4.19899i 0.257154 + 0.294711i
\(204\) 1.06725 + 0.924781i 0.0747228 + 0.0647476i
\(205\) 1.22017 4.15552i 0.0852205 0.290234i
\(206\) 7.67168 0.534511
\(207\) 4.62119 1.28242i 0.321195 0.0891347i
\(208\) 0.584034i 0.0404955i
\(209\) −10.4397 + 35.5544i −0.722131 + 2.45935i
\(210\) −1.42515 2.20085i −0.0983448 0.151873i
\(211\) −4.07017 2.61574i −0.280202 0.180075i 0.392990 0.919543i \(-0.371441\pi\)
−0.673192 + 0.739468i \(0.735077\pi\)
\(212\) 5.27222 + 0.758031i 0.362097 + 0.0520618i
\(213\) 3.15042 + 4.90215i 0.215863 + 0.335890i
\(214\) 13.8245 6.31345i 0.945025 0.431578i
\(215\) −5.63869 + 4.88595i −0.384555 + 0.333219i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) −12.9251 11.1218i −0.877411 0.754998i
\(218\) −4.64346 15.8142i −0.314495 1.07107i
\(219\) 0.814692 0.239215i 0.0550518 0.0161647i
\(220\) −4.58154 2.09232i −0.308888 0.141064i
\(221\) −0.816366 + 0.117376i −0.0549147 + 0.00789555i
\(222\) −4.74660 5.47787i −0.318571 0.367650i
\(223\) −14.4574 + 6.60249i −0.968141 + 0.442135i −0.835779 0.549066i \(-0.814983\pi\)
−0.132362 + 0.991201i \(0.542256\pi\)
\(224\) 2.53599 0.754146i 0.169443 0.0503885i
\(225\) −0.571805 + 3.97699i −0.0381203 + 0.265133i
\(226\) −1.75690 + 2.73379i −0.116867 + 0.181849i
\(227\) −5.21355 + 6.01675i −0.346035 + 0.399346i −0.901913 0.431918i \(-0.857837\pi\)
0.555878 + 0.831264i \(0.312382\pi\)
\(228\) 2.05411 6.99566i 0.136037 0.463299i
\(229\) −13.7051 −0.905656 −0.452828 0.891598i \(-0.649585\pi\)
−0.452828 + 0.891598i \(0.649585\pi\)
\(230\) 4.53977 + 1.40681i 0.299344 + 0.0927621i
\(231\) −12.9150 3.74383i −0.849742 0.246326i
\(232\) −2.02098 0.593414i −0.132684 0.0389595i
\(233\) 14.1080 16.2815i 0.924245 1.06664i −0.0733484 0.997306i \(-0.523368\pi\)
0.997594 0.0693297i \(-0.0220860\pi\)
\(234\) −0.315753 + 0.491321i −0.0206414 + 0.0321186i
\(235\) −10.0520 1.44526i −0.655723 0.0942787i
\(236\) 2.74184 + 4.26639i 0.178479 + 0.277718i
\(237\) 6.98414 + 15.2931i 0.453669 + 0.993396i
\(238\) 1.56382 + 3.39326i 0.101367 + 0.219953i
\(239\) 0.998666 + 6.94587i 0.0645983 + 0.449291i 0.996291 + 0.0860445i \(0.0274227\pi\)
−0.931693 + 0.363247i \(0.881668\pi\)
\(240\) 0.901461 + 0.411683i 0.0581890 + 0.0265740i
\(241\) 27.0033 7.92889i 1.73944 0.510744i 0.750729 0.660610i \(-0.229702\pi\)
0.988706 + 0.149866i \(0.0478841\pi\)
\(242\) −14.2296 + 4.17819i −0.914714 + 0.268584i
\(243\) 0.909632 + 0.415415i 0.0583529 + 0.0266489i
\(244\) −1.12727 7.84033i −0.0721660 0.501926i
\(245\) −1.03460 6.85953i −0.0660982 0.438240i
\(246\) 1.81545 + 3.97529i 0.115749 + 0.253455i
\(247\) 2.30215 + 3.58222i 0.146482 + 0.227931i
\(248\) 6.37924 + 0.917197i 0.405082 + 0.0582421i
\(249\) 9.18611 14.2939i 0.582146 0.905837i
\(250\) −5.85241 + 6.75404i −0.370139 + 0.427163i
\(251\) −7.78968 2.28726i −0.491680 0.144370i 0.0264879 0.999649i \(-0.491568\pi\)
−0.518168 + 0.855279i \(0.673386\pi\)
\(252\) 2.54114 + 0.736634i 0.160077 + 0.0464036i
\(253\) 22.3199 9.79388i 1.40324 0.615736i
\(254\) −1.20889 −0.0758528
\(255\) −0.394283 + 1.34281i −0.0246910 + 0.0840897i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 7.11072 11.0645i 0.443554 0.690184i −0.545438 0.838151i \(-0.683637\pi\)
0.988992 + 0.147967i \(0.0472730\pi\)
\(258\) 1.07144 7.45206i 0.0667052 0.463945i
\(259\) −5.46624 18.3815i −0.339656 1.14217i
\(260\) −0.526484 + 0.240437i −0.0326511 + 0.0149113i
\(261\) −1.37933 1.59184i −0.0853787 0.0985322i
\(262\) 1.85631 0.266896i 0.114683 0.0164889i
\(263\) −19.4561 8.88530i −1.19971 0.547891i −0.287569 0.957760i \(-0.592847\pi\)
−0.912144 + 0.409869i \(0.865574\pi\)
\(264\) 4.87648 1.43187i 0.300127 0.0881252i
\(265\) 1.48715 + 5.06477i 0.0913549 + 0.311126i
\(266\) 12.5820 14.6220i 0.771452 0.896533i
\(267\) −0.930722 + 0.133818i −0.0569592 + 0.00818950i
\(268\) −1.24490 + 1.07872i −0.0760446 + 0.0658930i
\(269\) 24.0512 10.9838i 1.46643 0.669696i 0.487357 0.873203i \(-0.337961\pi\)
0.979074 + 0.203507i \(0.0652339\pi\)
\(270\) 0.535784 + 0.833696i 0.0326068 + 0.0507372i
\(271\) 26.9210 + 3.87066i 1.63534 + 0.235126i 0.897871 0.440258i \(-0.145113\pi\)
0.737466 + 0.675384i \(0.236022\pi\)
\(272\) −1.18800 0.763482i −0.0720332 0.0462929i
\(273\) −1.29702 + 0.839882i −0.0784994 + 0.0508320i
\(274\) 3.73379 12.7161i 0.225567 0.768209i
\(275\) 20.4203i 1.23139i
\(276\) −4.39164 + 1.92704i −0.264346 + 0.115994i
\(277\) −8.90340 −0.534953 −0.267477 0.963564i \(-0.586190\pi\)
−0.267477 + 0.963564i \(0.586190\pi\)
\(278\) 1.67226 5.69521i 0.100296 0.341576i
\(279\) 4.87069 + 4.22047i 0.291600 + 0.252673i
\(280\) 1.72386 + 1.97563i 0.103020 + 0.118066i
\(281\) −5.69236 0.818438i −0.339578 0.0488239i −0.0295835 0.999562i \(-0.509418\pi\)
−0.309994 + 0.950738i \(0.600327\pi\)
\(282\) 8.62071 5.54019i 0.513356 0.329914i
\(283\) −1.84458 4.03906i −0.109649 0.240097i 0.846851 0.531830i \(-0.178495\pi\)
−0.956500 + 0.291733i \(0.905768\pi\)
\(284\) −3.81601 4.40390i −0.226438 0.261324i
\(285\) 7.15195 1.02830i 0.423645 0.0609110i
\(286\) −1.23306 + 2.70003i −0.0729126 + 0.159656i
\(287\) 0.0398823 + 11.5624i 0.00235418 + 0.682509i
\(288\) −0.959493 + 0.281733i −0.0565387 + 0.0166013i
\(289\) −6.23361 + 13.6497i −0.366683 + 0.802924i
\(290\) −0.297065 2.06613i −0.0174443 0.121328i
\(291\) −1.15337 + 0.999400i −0.0676117 + 0.0585858i
\(292\) −0.772356 + 0.352723i −0.0451987 + 0.0206416i
\(293\) −12.5000 + 8.03329i −0.730260 + 0.469310i −0.852192 0.523229i \(-0.824727\pi\)
0.121932 + 0.992538i \(0.461091\pi\)
\(294\) 5.32174 + 4.54742i 0.310370 + 0.265211i
\(295\) −2.71721 + 4.22806i −0.158202 + 0.246167i
\(296\) 5.47787 + 4.74660i 0.318394 + 0.275890i
\(297\) 4.87648 + 1.43187i 0.282962 + 0.0830852i
\(298\) 21.3208i 1.23508i
\(299\) 0.829071 2.67541i 0.0479464 0.154723i
\(300\) 4.01789i 0.231973i
\(301\) 10.7112 16.7940i 0.617382 0.967990i
\(302\) 0.967170 1.11617i 0.0556544 0.0642286i
\(303\) 10.5070 + 6.75242i 0.603610 + 0.387916i
\(304\) −1.03762 + 7.21678i −0.0595114 + 0.413911i
\(305\) 6.60367 4.24392i 0.378125 0.243006i
\(306\) −0.586641 1.28456i −0.0335360 0.0734337i
\(307\) 8.71464 7.55128i 0.497371 0.430974i −0.369706 0.929149i \(-0.620542\pi\)
0.867077 + 0.498174i \(0.165996\pi\)
\(308\) 13.3163 + 1.86774i 0.758767 + 0.106424i
\(309\) −6.97840 3.18693i −0.396988 0.181298i
\(310\) 1.79941 + 6.12823i 0.102200 + 0.348060i
\(311\) 2.94632 + 10.0342i 0.167070 + 0.568990i 0.999881 + 0.0154314i \(0.00491218\pi\)
−0.832810 + 0.553558i \(0.813270\pi\)
\(312\) 0.242617 0.531256i 0.0137355 0.0300765i
\(313\) −4.71949 32.8247i −0.266761 1.85536i −0.478565 0.878052i \(-0.658843\pi\)
0.211804 0.977312i \(-0.432066\pi\)
\(314\) −0.0408364 0.0471277i −0.00230453 0.00265957i
\(315\) 0.382097 + 2.59399i 0.0215287 + 0.146155i
\(316\) −9.08949 14.1435i −0.511324 0.795635i
\(317\) −0.436211 + 3.03391i −0.0245000 + 0.170401i −0.998398 0.0565859i \(-0.981979\pi\)
0.973898 + 0.226987i \(0.0728876\pi\)
\(318\) −4.48088 2.87969i −0.251275 0.161485i
\(319\) −8.09028 7.01027i −0.452969 0.392500i
\(320\) −0.950874 0.279202i −0.0531555 0.0156079i
\(321\) −15.1979 −0.848266
\(322\) −12.6877 0.145307i −0.707060 0.00809765i
\(323\) −10.2962 −0.572896
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 1.77343 + 1.53668i 0.0983721 + 0.0852399i
\(326\) −1.31498 0.845085i −0.0728299 0.0468049i
\(327\) −2.34561 + 16.3141i −0.129712 + 0.902169i
\(328\) −2.36272 3.67646i −0.130459 0.202999i
\(329\) 26.8228 3.95101i 1.47879 0.217827i
\(330\) 3.29834 + 3.80648i 0.181567 + 0.209540i
\(331\) 2.81734 + 19.5950i 0.154855 + 1.07704i 0.907935 + 0.419110i \(0.137658\pi\)
−0.753080 + 0.657928i \(0.771433\pi\)
\(332\) −7.05838 + 15.4557i −0.387379 + 0.848241i
\(333\) 2.04207 + 6.95465i 0.111905 + 0.381112i
\(334\) 1.92005 + 6.53909i 0.105060 + 0.357803i
\(335\) −1.48493 0.678143i −0.0811302 0.0370509i
\(336\) −2.62010 0.367494i −0.142938 0.0200485i
\(337\) 12.7393 11.0386i 0.693952 0.601313i −0.234787 0.972047i \(-0.575439\pi\)
0.928739 + 0.370734i \(0.120894\pi\)
\(338\) −5.25870 11.5149i −0.286036 0.626330i
\(339\) 2.73379 1.75690i 0.148479 0.0954217i
\(340\) 0.199169 1.38525i 0.0108014 0.0751257i
\(341\) 27.5552 + 17.7087i 1.49220 + 0.958979i
\(342\) −4.77459 + 5.51017i −0.258180 + 0.297956i
\(343\) 7.86751 + 16.7661i 0.424805 + 0.905285i
\(344\) 7.52869i 0.405920i
\(345\) −3.54511 3.16557i −0.190862 0.170428i
\(346\) 17.3112i 0.930656i
\(347\) −19.3662 5.68642i −1.03963 0.305263i −0.283010 0.959117i \(-0.591333\pi\)
−0.756621 + 0.653854i \(0.773151\pi\)
\(348\) 1.59184 + 1.37933i 0.0853314 + 0.0739401i
\(349\) −11.0217 + 17.1500i −0.589976 + 0.918020i 0.410007 + 0.912082i \(0.365526\pi\)
−0.999982 + 0.00593738i \(0.998110\pi\)
\(350\) 4.38262 9.68486i 0.234261 0.517677i
\(351\) 0.491321 0.315753i 0.0262248 0.0168536i
\(352\) −4.62307 + 2.11129i −0.246411 + 0.112532i
\(353\) 13.4041 11.6148i 0.713431 0.618191i −0.220608 0.975362i \(-0.570804\pi\)
0.934039 + 0.357171i \(0.116259\pi\)
\(354\) −0.721744 5.01984i −0.0383603 0.266802i
\(355\) 2.39896 5.25299i 0.127324 0.278800i
\(356\) 0.902204 0.264911i 0.0478167 0.0140403i
\(357\) −0.0128875 3.73626i −0.000682077 0.197744i
\(358\) −3.48198 + 7.62448i −0.184029 + 0.402966i
\(359\) 29.0109 4.17114i 1.53114 0.220144i 0.675359 0.737489i \(-0.263989\pi\)
0.855777 + 0.517345i \(0.173080\pi\)
\(360\) −0.648978 0.748961i −0.0342041 0.0394737i
\(361\) 14.1900 + 31.0718i 0.746842 + 1.63536i
\(362\) −10.5482 + 6.77889i −0.554399 + 0.356291i
\(363\) 14.6794 + 2.11058i 0.770468 + 0.110777i
\(364\) 1.16429 1.01592i 0.0610256 0.0532486i
\(365\) −0.635932 0.551038i −0.0332862 0.0288426i
\(366\) −2.23159 + 7.60010i −0.116647 + 0.397263i
\(367\) 25.6106 1.33686 0.668431 0.743774i \(-0.266966\pi\)
0.668431 + 0.743774i \(0.266966\pi\)
\(368\) 4.07270 2.53242i 0.212304 0.132011i
\(369\) 4.37022i 0.227504i
\(370\) −2.02373 + 6.89217i −0.105208 + 0.358307i
\(371\) −7.65979 11.8289i −0.397676 0.614128i
\(372\) −5.42175 3.48435i −0.281105 0.180655i
\(373\) −3.57229 0.513618i −0.184966 0.0265941i 0.0492092 0.998788i \(-0.484330\pi\)
−0.234175 + 0.972194i \(0.575239\pi\)
\(374\) −3.88029 6.03785i −0.200645 0.312210i
\(375\) 8.12927 3.71251i 0.419794 0.191713i
\(376\) −7.74451 + 6.71066i −0.399393 + 0.346076i
\(377\) −1.21763 + 0.175069i −0.0627112 + 0.00901651i
\(378\) −2.00549 1.72569i −0.103151 0.0887600i
\(379\) −5.89845 20.0883i −0.302983 1.03187i −0.960466 0.278397i \(-0.910197\pi\)
0.657483 0.753469i \(-0.271621\pi\)
\(380\) −6.93282 + 2.03566i −0.355646 + 0.104427i
\(381\) 1.09965 + 0.502193i 0.0563367 + 0.0257281i
\(382\) −2.51090 + 0.361013i −0.128469 + 0.0184710i
\(383\) 8.89234 + 10.2623i 0.454378 + 0.524380i 0.936000 0.351999i \(-0.114498\pi\)
−0.481623 + 0.876379i \(0.659952\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 3.79841 + 12.7730i 0.193585 + 0.650974i
\(386\) −2.59446 + 18.0449i −0.132055 + 0.918461i
\(387\) −4.07032 + 6.33353i −0.206906 + 0.321952i
\(388\) 0.999400 1.15337i 0.0507368 0.0585534i
\(389\) 4.20290 14.3138i 0.213095 0.725736i −0.781683 0.623676i \(-0.785638\pi\)
0.994778 0.102060i \(-0.0325434\pi\)
\(390\) 0.578788 0.0293081
\(391\) 4.35834 + 5.18389i 0.220410 + 0.262161i
\(392\) −5.91474 3.74377i −0.298740 0.189089i
\(393\) −1.79943 0.528360i −0.0907691 0.0266522i
\(394\) −8.62155 + 9.94980i −0.434347 + 0.501263i
\(395\) 9.00784 14.0165i 0.453234 0.705245i
\(396\) −5.03062 0.723295i −0.252798 0.0363469i
\(397\) 2.95790 + 4.60258i 0.148453 + 0.230997i 0.907514 0.420023i \(-0.137978\pi\)
−0.759061 + 0.651020i \(0.774342\pi\)
\(398\) −7.92221 17.3472i −0.397105 0.869538i
\(399\) −17.5192 + 8.07390i −0.877057 + 0.404200i
\(400\) 0.571805 + 3.97699i 0.0285902 + 0.198849i
\(401\) 29.9807 + 13.6917i 1.49717 + 0.683733i 0.984585 0.174906i \(-0.0559623\pi\)
0.512581 + 0.858639i \(0.328690\pi\)
\(402\) 1.58052 0.464082i 0.0788291 0.0231463i
\(403\) 3.61154 1.06044i 0.179904 0.0528245i
\(404\) −11.3610 5.18839i −0.565231 0.258132i
\(405\) −0.141036 0.980930i −0.00700816 0.0487428i
\(406\) 2.33248 + 5.06114i 0.115759 + 0.251180i
\(407\) 15.3031 + 33.5092i 0.758549 + 1.66099i
\(408\) 0.763482 + 1.18800i 0.0377980 + 0.0588148i
\(409\) −38.3298 5.51099i −1.89529 0.272501i −0.906542 0.422116i \(-0.861287\pi\)
−0.988744 + 0.149615i \(0.952196\pi\)
\(410\) 2.34149 3.64343i 0.115638 0.179936i
\(411\) −8.67885 + 10.0159i −0.428096 + 0.494049i
\(412\) 7.36092 + 2.16136i 0.362647 + 0.106483i
\(413\) 3.73581 12.8873i 0.183827 0.634141i
\(414\) 4.79530 + 0.0714617i 0.235676 + 0.00351215i
\(415\) −16.8385 −0.826570
\(416\) −0.164541 + 0.560377i −0.00806731 + 0.0274747i
\(417\) −3.88702 + 4.48586i −0.190348 + 0.219673i
\(418\) −20.0337 + 31.1730i −0.979879 + 1.52472i
\(419\) −2.45214 + 17.0550i −0.119795 + 0.833193i 0.837986 + 0.545692i \(0.183733\pi\)
−0.957781 + 0.287500i \(0.907176\pi\)
\(420\) −0.747372 2.51321i −0.0364680 0.122632i
\(421\) 36.7892 16.8011i 1.79300 0.818835i 0.826164 0.563429i \(-0.190518\pi\)
0.966834 0.255405i \(-0.0822089\pi\)
\(422\) −3.16836 3.65649i −0.154234 0.177995i
\(423\) −10.1432 + 1.45837i −0.493177 + 0.0709082i
\(424\) 4.84510 + 2.21268i 0.235299 + 0.107457i
\(425\) −5.44414 + 1.59854i −0.264080 + 0.0775408i
\(426\) 1.64171 + 5.59116i 0.0795412 + 0.270893i
\(427\) −13.6691 + 15.8854i −0.661495 + 0.768748i
\(428\) 15.0432 2.16289i 0.727142 0.104547i
\(429\) 2.24327 1.94380i 0.108306 0.0938477i
\(430\) −6.78682 + 3.09943i −0.327289 + 0.149468i
\(431\) 21.4763 + 33.4178i 1.03448 + 1.60968i 0.762068 + 0.647497i \(0.224184\pi\)
0.272409 + 0.962181i \(0.412180\pi\)
\(432\) 0.989821 + 0.142315i 0.0476228 + 0.00684713i
\(433\) 8.87232 + 5.70189i 0.426376 + 0.274015i 0.736181 0.676785i \(-0.236627\pi\)
−0.309805 + 0.950800i \(0.600264\pi\)
\(434\) −9.26814 14.3127i −0.444885 0.687032i
\(435\) −0.588083 + 2.00283i −0.0281964 + 0.0960282i
\(436\) 16.4818i 0.789336i
\(437\) 14.9979 31.5866i 0.717446 1.51099i
\(438\) 0.849086 0.0405709
\(439\) 6.75925 23.0199i 0.322601 1.09868i −0.625371 0.780327i \(-0.715053\pi\)
0.947973 0.318352i \(-0.103129\pi\)
\(440\) −3.80648 3.29834i −0.181467 0.157242i
\(441\) −2.95176 6.34721i −0.140560 0.302248i
\(442\) −0.816366 0.117376i −0.0388306 0.00558300i
\(443\) 4.98446 3.20332i 0.236819 0.152194i −0.416849 0.908976i \(-0.636866\pi\)
0.653668 + 0.756781i \(0.273229\pi\)
\(444\) −3.01103 6.59324i −0.142897 0.312902i
\(445\) 0.610229 + 0.704242i 0.0289276 + 0.0333843i
\(446\) −15.7319 + 2.26191i −0.744929 + 0.107105i
\(447\) −8.85698 + 19.3941i −0.418921 + 0.917309i
\(448\) 2.64574 0.00912594i 0.124999 0.000431160i
\(449\) −36.0616 + 10.5886i −1.70185 + 0.499709i −0.981103 0.193487i \(-0.938020\pi\)
−0.720749 + 0.693196i \(0.756202\pi\)
\(450\) −1.66909 + 3.65480i −0.0786817 + 0.172289i
\(451\) −3.16095 21.9849i −0.148844 1.03523i
\(452\) −2.45593 + 2.12808i −0.115517 + 0.100096i
\(453\) −1.34344 + 0.613530i −0.0631205 + 0.0288262i
\(454\) −6.69748 + 4.30421i −0.314328 + 0.202006i
\(455\) 1.39513 + 0.631328i 0.0654047 + 0.0295971i
\(456\) 3.94181 6.13357i 0.184592 0.287231i
\(457\) −16.7863 14.5454i −0.785230 0.680405i 0.166943 0.985967i \(-0.446610\pi\)
−0.952172 + 0.305561i \(0.901156\pi\)
\(458\) −13.1499 3.86116i −0.614455 0.180420i
\(459\) 1.41218i 0.0659149i
\(460\) 3.95954 + 2.62882i 0.184614 + 0.122569i
\(461\) 1.03731i 0.0483123i 0.999708 + 0.0241561i \(0.00768988\pi\)
−0.999708 + 0.0241561i \(0.992310\pi\)
\(462\) −11.3370 7.23075i −0.527447 0.336405i
\(463\) 0.780860 0.901160i 0.0362896 0.0418805i −0.737315 0.675550i \(-0.763906\pi\)
0.773604 + 0.633669i \(0.218452\pi\)
\(464\) −1.77193 1.13875i −0.0822600 0.0528653i
\(465\) 0.908958 6.32194i 0.0421519 0.293173i
\(466\) 18.1235 11.6473i 0.839557 0.539551i
\(467\) −7.91705 17.3359i −0.366358 0.802211i −0.999601 0.0282583i \(-0.991004\pi\)
0.633243 0.773953i \(-0.281723\pi\)
\(468\) −0.441383 + 0.382461i −0.0204030 + 0.0176793i
\(469\) 4.31595 + 0.605353i 0.199292 + 0.0279526i
\(470\) −9.23768 4.21871i −0.426102 0.194594i
\(471\) 0.0175685 + 0.0598329i 0.000809515 + 0.00275696i
\(472\) 1.42880 + 4.86603i 0.0657657 + 0.223977i
\(473\) −15.8952 + 34.8057i −0.730863 + 1.60037i
\(474\) 2.39266 + 16.6413i 0.109898 + 0.764361i
\(475\) 19.1837 + 22.1392i 0.880210 + 1.01582i
\(476\) 0.544481 + 3.69639i 0.0249562 + 0.169424i
\(477\) 2.87969 + 4.48088i 0.131852 + 0.205165i
\(478\) −0.998666 + 6.94587i −0.0456779 + 0.317697i
\(479\) −35.4211 22.7637i −1.61843 1.04010i −0.956997 0.290097i \(-0.906312\pi\)
−0.661433 0.750005i \(-0.730051\pi\)
\(480\) 0.748961 + 0.648978i 0.0341852 + 0.0296217i
\(481\) 4.06175 + 1.19264i 0.185200 + 0.0543796i
\(482\) 28.1433 1.28189
\(483\) 11.4808 + 5.40286i 0.522395 + 0.245838i
\(484\) −14.8303 −0.674106
\(485\) 1.45115 + 0.426097i 0.0658934 + 0.0193481i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) 28.2325 + 18.1439i 1.27934 + 0.822179i 0.990806 0.135292i \(-0.0431972\pi\)
0.288530 + 0.957471i \(0.406834\pi\)
\(488\) 1.12727 7.84033i 0.0510291 0.354915i
\(489\) 0.845085 + 1.31498i 0.0382160 + 0.0594653i
\(490\) 0.939863 6.87316i 0.0424587 0.310498i
\(491\) −10.5292 12.1514i −0.475177 0.548383i 0.466668 0.884433i \(-0.345454\pi\)
−0.941844 + 0.336050i \(0.890909\pi\)
\(492\) 0.621947 + 4.32573i 0.0280395 + 0.195019i
\(493\) 1.23564 2.70568i 0.0556506 0.121858i
\(494\) 1.19967 + 4.08570i 0.0539757 + 0.183824i
\(495\) −1.41900 4.83268i −0.0637794 0.217213i
\(496\) 5.86244 + 2.67728i 0.263231 + 0.120214i
\(497\) −2.14146 + 15.2679i −0.0960578 + 0.684858i
\(498\) 12.8411 11.1268i 0.575421 0.498605i
\(499\) 7.81050 + 17.1026i 0.349646 + 0.765618i 0.999982 + 0.00597147i \(0.00190079\pi\)
−0.650336 + 0.759647i \(0.725372\pi\)
\(500\) −7.51818 + 4.83164i −0.336223 + 0.216078i
\(501\) 0.969897 6.74578i 0.0433318 0.301379i
\(502\) −6.82975 4.38921i −0.304827 0.195900i
\(503\) −3.07929 + 3.55369i −0.137299 + 0.158451i −0.820235 0.572027i \(-0.806157\pi\)
0.682936 + 0.730478i \(0.260703\pi\)
\(504\) 2.23067 + 1.42272i 0.0993619 + 0.0633728i
\(505\) 12.3775i 0.550790i
\(506\) 24.1750 3.10892i 1.07471 0.138208i
\(507\) 12.6589i 0.562202i
\(508\) −1.15993 0.340585i −0.0514634 0.0151110i
\(509\) 0.0626238 + 0.0542638i 0.00277575 + 0.00240520i 0.656248 0.754546i \(-0.272143\pi\)
−0.653472 + 0.756951i \(0.726688\pi\)
\(510\) −0.756624 + 1.17733i −0.0335039 + 0.0521330i
\(511\) 2.04667 + 0.926163i 0.0905392 + 0.0409711i
\(512\) −0.841254 + 0.540641i −0.0371785 + 0.0238932i
\(513\) 6.63212 3.02879i 0.292815 0.133724i
\(514\) 9.93991 8.61298i 0.438431 0.379902i
\(515\) 1.08199 + 7.52538i 0.0476780 + 0.331608i
\(516\) 3.12753 6.84833i 0.137682 0.301481i
\(517\) −49.9716 + 14.6730i −2.19775 + 0.645317i
\(518\) −0.0661471 19.1770i −0.00290634 0.842587i
\(519\) −7.19133 + 15.7468i −0.315664 + 0.691208i
\(520\) −0.572896 + 0.0823701i −0.0251232 + 0.00361217i
\(521\) 1.78167 + 2.05615i 0.0780563 + 0.0900818i 0.793434 0.608656i \(-0.208291\pi\)
−0.715378 + 0.698738i \(0.753746\pi\)
\(522\) −0.874990 1.91596i −0.0382973 0.0838593i
\(523\) 24.1530 15.5222i 1.05614 0.678737i 0.107209 0.994236i \(-0.465808\pi\)
0.948926 + 0.315500i \(0.102172\pi\)
\(524\) 1.85631 + 0.266896i 0.0810931 + 0.0116594i
\(525\) −8.00980 + 6.98905i −0.349577 + 0.305027i
\(526\) −16.1647 14.0068i −0.704814 0.610725i
\(527\) −2.56413 + 8.73261i −0.111695 + 0.380399i
\(528\) 5.08236 0.221181
\(529\) −22.2516 + 5.81937i −0.967462 + 0.253016i
\(530\) 5.27859i 0.229287i
\(531\) −1.42880 + 4.86603i −0.0620045 + 0.211168i
\(532\) 16.1918 10.4850i 0.702005 0.454581i
\(533\) −2.14718 1.37991i −0.0930046 0.0597704i
\(534\) −0.930722 0.133818i −0.0402763 0.00579085i
\(535\) 8.14281 + 12.6705i 0.352044 + 0.547792i
\(536\) −1.49839 + 0.684290i −0.0647204 + 0.0295568i
\(537\) 6.33465 5.48900i 0.273360 0.236868i
\(538\) 26.1715 3.76289i 1.12833 0.162230i
\(539\) −19.4401 29.7954i −0.837345 1.28338i
\(540\) 0.279202 + 0.950874i 0.0120149 + 0.0409191i
\(541\) −25.6749 + 7.53883i −1.10385 + 0.324120i −0.782381 0.622800i \(-0.785995\pi\)
−0.321470 + 0.946920i \(0.604177\pi\)
\(542\) 24.7401 + 11.2984i 1.06268 + 0.485308i
\(543\) 12.4110 1.78443i 0.532607 0.0765773i
\(544\) −0.924781 1.06725i −0.0396497 0.0457582i
\(545\) 14.8577 6.78529i 0.636434 0.290650i
\(546\) −1.48111 + 0.440447i −0.0633855 + 0.0188494i
\(547\) −3.60438 + 25.0690i −0.154112 + 1.07187i 0.755121 + 0.655586i \(0.227578\pi\)
−0.909233 + 0.416288i \(0.863331\pi\)
\(548\) 7.16509 11.1491i 0.306078 0.476266i
\(549\) 5.18712 5.98626i 0.221381 0.255487i
\(550\) −5.75307 + 19.5932i −0.245312 + 0.835455i
\(551\) −15.3570 −0.654232
\(552\) −4.75666 + 0.611708i −0.202457 + 0.0260360i
\(553\) −12.3846 + 42.7227i −0.526647 + 1.81675i
\(554\) −8.54275 2.50838i −0.362947 0.106571i
\(555\) 4.70396 5.42866i 0.199672 0.230434i
\(556\) 3.20905 4.99338i 0.136094 0.211767i
\(557\) −9.54185 1.37191i −0.404301 0.0581297i −0.0628353 0.998024i \(-0.520014\pi\)
−0.341466 + 0.939894i \(0.610923\pi\)
\(558\) 3.48435 + 5.42175i 0.147504 + 0.229521i
\(559\) 1.82658 + 3.99966i 0.0772563 + 0.169168i
\(560\) 1.09743 + 2.38127i 0.0463750 + 0.100627i
\(561\) 1.02142 + 7.10415i 0.0431245 + 0.299937i
\(562\) −5.23120 2.38901i −0.220665 0.100774i
\(563\) 29.4005 8.63278i 1.23908 0.363828i 0.404413 0.914576i \(-0.367476\pi\)
0.834672 + 0.550748i \(0.185658\pi\)
\(564\) 9.83236 2.88704i 0.414017 0.121566i
\(565\) −2.92944 1.33783i −0.123243 0.0562830i
\(566\) −0.631923 4.39512i −0.0265617 0.184741i
\(567\) 1.10738 + 2.40285i 0.0465056 + 0.100910i
\(568\) −2.42071 5.30061i −0.101571 0.222409i
\(569\) 2.22210 + 3.45765i 0.0931551 + 0.144952i 0.884703 0.466155i \(-0.154361\pi\)
−0.791548 + 0.611107i \(0.790725\pi\)
\(570\) 7.15195 + 1.02830i 0.299562 + 0.0430706i
\(571\) −7.00466 + 10.8995i −0.293136 + 0.456128i −0.956317 0.292330i \(-0.905569\pi\)
0.663182 + 0.748458i \(0.269206\pi\)
\(572\) −1.94380 + 2.24327i −0.0812745 + 0.0937957i
\(573\) 2.43397 + 0.714677i 0.101680 + 0.0298561i
\(574\) −3.21925 + 11.1053i −0.134369 + 0.463527i
\(575\) 3.02618 19.0300i 0.126200 0.793605i
\(576\) −1.00000 −0.0416667
\(577\) −2.24631 + 7.65022i −0.0935150 + 0.318483i −0.992944 0.118584i \(-0.962164\pi\)
0.899429 + 0.437067i \(0.143983\pi\)
\(578\) −9.82667 + 11.3406i −0.408736 + 0.471706i
\(579\) 9.85612 15.3364i 0.409607 0.637360i
\(580\) 0.297065 2.06613i 0.0123350 0.0857916i
\(581\) 43.0894 12.8138i 1.78765 0.531606i
\(582\) −1.38821 + 0.633975i −0.0575433 + 0.0262791i
\(583\) 17.7276 + 20.4588i 0.734203 + 0.847316i
\(584\) −0.840443 + 0.120838i −0.0347778 + 0.00500029i
\(585\) −0.526484 0.240437i −0.0217674 0.00994085i
\(586\) −14.2569 + 4.18622i −0.588949 + 0.172931i
\(587\) −7.15533 24.3688i −0.295332 1.00581i −0.964804 0.262971i \(-0.915298\pi\)
0.669471 0.742838i \(-0.266521\pi\)
\(588\) 3.82502 + 5.86253i 0.157741 + 0.241767i
\(589\) 46.5110 6.68728i 1.91645 0.275544i
\(590\) −3.79833 + 3.29127i −0.156375 + 0.135499i
\(591\) 11.9757 5.46913i 0.492616 0.224970i
\(592\) 3.91870 + 6.09762i 0.161058 + 0.250611i
\(593\) −13.9525 2.00606i −0.572959 0.0823790i −0.150255 0.988647i \(-0.548010\pi\)
−0.422703 + 0.906268i \(0.638919\pi\)
\(594\) 4.27555 + 2.74773i 0.175428 + 0.112741i
\(595\) −3.10800 + 2.01257i −0.127415 + 0.0825074i
\(596\) 6.00676 20.4572i 0.246047 0.837958i
\(597\) 19.0706i 0.780508i
\(598\) 1.54924 2.33347i 0.0633531 0.0954225i
\(599\) −31.7801 −1.29850 −0.649249 0.760576i \(-0.724917\pi\)
−0.649249 + 0.760576i \(0.724917\pi\)
\(600\) 1.13197 3.85513i 0.0462124 0.157385i
\(601\) −14.6936 12.7321i −0.599366 0.519354i 0.301491 0.953469i \(-0.402516\pi\)
−0.900857 + 0.434115i \(0.857061\pi\)
\(602\) 15.0087 13.0960i 0.611710 0.533755i
\(603\) −1.63048 0.234427i −0.0663982 0.00954662i
\(604\) 1.24246 0.798478i 0.0505548 0.0324896i
\(605\) −6.10540 13.3690i −0.248220 0.543526i
\(606\) 8.17899 + 9.43906i 0.332249 + 0.383435i
\(607\) −0.139457 + 0.0200509i −0.00566038 + 0.000813839i −0.145144 0.989410i \(-0.546365\pi\)
0.139484 + 0.990224i \(0.455456\pi\)
\(608\) −3.02879 + 6.63212i −0.122834 + 0.268968i
\(609\) −0.0192220 5.57272i −0.000778914 0.225818i
\(610\) 7.53183 2.21154i 0.304955 0.0895428i
\(611\) −2.48620 + 5.44402i −0.100581 + 0.220242i
\(612\) −0.200974 1.39781i −0.00812390 0.0565030i
\(613\) 27.8755 24.1542i 1.12588 0.975581i 0.126015 0.992028i \(-0.459781\pi\)
0.999865 + 0.0164476i \(0.00523567\pi\)
\(614\) 10.4891 4.79020i 0.423305 0.193317i
\(615\) −3.64343 + 2.34149i −0.146917 + 0.0944181i
\(616\) 12.2507 + 5.54372i 0.493595 + 0.223363i
\(617\) −12.7817 + 19.8887i −0.514570 + 0.800687i −0.997172 0.0751528i \(-0.976056\pi\)
0.482602 + 0.875840i \(0.339692\pi\)
\(618\) −5.79787 5.02388i −0.233224 0.202090i
\(619\) −32.3835 9.50864i −1.30160 0.382185i −0.443782 0.896135i \(-0.646363\pi\)
−0.857820 + 0.513950i \(0.828182\pi\)
\(620\) 6.38695i 0.256506i
\(621\) −4.33227 2.05704i −0.173848 0.0825463i
\(622\) 10.4579i 0.419322i
\(623\) −2.09748 1.33777i −0.0840338 0.0535966i
\(624\) 0.382461 0.441383i 0.0153107 0.0176695i
\(625\) 9.44966 + 6.07293i 0.377986 + 0.242917i
\(626\) 4.71949 32.8247i 0.188629 1.31194i
\(627\) 31.1730 20.0337i 1.24493 0.800068i
\(628\) −0.0259048 0.0567236i −0.00103371 0.00226352i
\(629\) −7.73573 + 6.70305i −0.308444 + 0.267268i
\(630\) −0.364193 + 2.59657i −0.0145098 + 0.103450i
\(631\) 31.8173 + 14.5305i 1.26662 + 0.578448i 0.931505 0.363727i \(-0.118496\pi\)
0.335119 + 0.942176i \(0.391223\pi\)
\(632\) −4.73661 16.1314i −0.188412 0.641673i
\(633\) 1.36309 + 4.64224i 0.0541778 + 0.184513i
\(634\) −1.27329 + 2.78812i −0.0505689 + 0.110730i
\(635\) −0.170498 1.18584i −0.00676601 0.0470587i
\(636\) −3.48807 4.02545i −0.138311 0.159620i
\(637\) −4.05054 0.553887i −0.160488 0.0219458i
\(638\) −5.78755 9.00560i −0.229131 0.356535i
\(639\) 0.829297 5.76789i 0.0328065 0.228174i
\(640\) −0.833696 0.535784i −0.0329547 0.0211787i
\(641\) −1.35292 1.17231i −0.0534371 0.0463035i 0.627733 0.778429i \(-0.283983\pi\)
−0.681170 + 0.732125i \(0.738529\pi\)
\(642\) −14.5823 4.28175i −0.575518 0.168987i
\(643\) 15.2742 0.602357 0.301179 0.953568i \(-0.402620\pi\)
0.301179 + 0.953568i \(0.402620\pi\)
\(644\) −12.1329 3.71397i −0.478102 0.146351i
\(645\) 7.46106 0.293779
\(646\) −9.87913 2.90077i −0.388689 0.114129i
\(647\) −27.8878 24.1649i −1.09638 0.950021i −0.0974054 0.995245i \(-0.531054\pi\)
−0.998977 + 0.0452241i \(0.985600\pi\)
\(648\) −0.841254 0.540641i −0.0330476 0.0212384i
\(649\) −3.66816 + 25.5126i −0.143988 + 1.00146i
\(650\) 1.26866 + 1.97407i 0.0497609 + 0.0774294i
\(651\) 2.48488 + 16.8694i 0.0973900 + 0.661165i
\(652\) −1.02362 1.18132i −0.0400882 0.0462642i
\(653\) −2.10263 14.6241i −0.0822825 0.572287i −0.988700 0.149905i \(-0.952103\pi\)
0.906418 0.422382i \(-0.138806\pi\)
\(654\) −6.84679 + 14.9924i −0.267731 + 0.586249i
\(655\) 0.523613 + 1.78326i 0.0204593 + 0.0696778i
\(656\) −1.23123 4.19319i −0.0480715 0.163717i
\(657\) −0.772356 0.352723i −0.0301325 0.0137610i
\(658\) 26.8494 + 3.76588i 1.04670 + 0.146809i
\(659\) 16.8775 14.6244i 0.657453 0.569686i −0.260940 0.965355i \(-0.584033\pi\)
0.918393 + 0.395669i \(0.129487\pi\)
\(660\) 2.09232 + 4.58154i 0.0814435 + 0.178336i
\(661\) 12.2518 7.87375i 0.476540 0.306253i −0.280233 0.959932i \(-0.590412\pi\)
0.756772 + 0.653679i \(0.226775\pi\)
\(662\) −2.81734 + 19.5950i −0.109499 + 0.761581i
\(663\) 0.693833 + 0.445900i 0.0269463 + 0.0173173i
\(664\) −11.1268 + 12.8411i −0.431805 + 0.498330i
\(665\) 16.1177 + 10.2798i 0.625017 + 0.398635i
\(666\) 7.24825i 0.280864i
\(667\) 6.50057 + 7.73190i 0.251703 + 0.299381i
\(668\) 6.81515i 0.263686i
\(669\) 15.2499 + 4.47778i 0.589595 + 0.173121i
\(670\) −1.23372 1.06903i −0.0476628 0.0413001i
\(671\) 21.7646 33.8664i 0.840214 1.30740i
\(672\) −2.41044 1.09078i −0.0929846 0.0420776i
\(673\) −21.5909 + 13.8756i −0.832266 + 0.534865i −0.885997 0.463690i \(-0.846525\pi\)
0.0537309 + 0.998555i \(0.482889\pi\)
\(674\) 15.3332 7.00243i 0.590612 0.269723i
\(675\) 3.03652 2.63116i 0.116876 0.101273i
\(676\) −1.80155 12.5301i −0.0692904 0.481925i
\(677\) 9.26537 20.2883i 0.356097 0.779744i −0.643797 0.765196i \(-0.722642\pi\)
0.999894 0.0145477i \(-0.00463083\pi\)
\(678\) 3.11803 0.915535i 0.119747 0.0351609i
\(679\) −4.03772 + 0.0139273i −0.154954 + 0.000534482i
\(680\) 0.581371 1.27302i 0.0222946 0.0488183i
\(681\) 7.88027 1.13301i 0.301973 0.0434171i
\(682\) 21.4500 + 24.7546i 0.821361 + 0.947901i
\(683\) 8.92922 + 19.5523i 0.341667 + 0.748146i 0.999989 0.00458959i \(-0.00146092\pi\)
−0.658322 + 0.752736i \(0.728734\pi\)
\(684\) −6.13357 + 3.94181i −0.234523 + 0.150719i
\(685\) 13.0002 + 1.86915i 0.496713 + 0.0714166i
\(686\) 2.82526 + 18.3035i 0.107869 + 0.698831i
\(687\) 10.3576 + 8.97491i 0.395167 + 0.342414i
\(688\) −2.12108 + 7.22372i −0.0808653 + 0.275402i
\(689\) 3.11082 0.118513
\(690\) −2.50967 4.03611i −0.0955414 0.153652i
\(691\) 12.3827i 0.471058i 0.971867 + 0.235529i \(0.0756823\pi\)
−0.971867 + 0.235529i \(0.924318\pi\)
\(692\) 4.87713 16.6100i 0.185401 0.631416i
\(693\) 7.30878 + 11.2869i 0.277638 + 0.428754i
\(694\) −16.9797 10.9122i −0.644539 0.414220i
\(695\) 5.82245 + 0.837142i 0.220858 + 0.0317546i
\(696\) 1.13875 + 1.77193i 0.0431643 + 0.0671650i
\(697\) 5.61382 2.56375i 0.212639 0.0971089i
\(698\) −15.4069 + 13.3502i −0.583160 + 0.505311i
\(699\) −21.3242 + 3.06596i −0.806556 + 0.115965i
\(700\) 6.93363 8.05783i 0.262067 0.304557i
\(701\) 4.26269 + 14.5174i 0.160999 + 0.548314i 0.999991 + 0.00416985i \(0.00132731\pi\)
−0.838992 + 0.544144i \(0.816855\pi\)
\(702\) 0.560377 0.164541i 0.0211501 0.00621022i
\(703\) 48.0713 + 21.9534i 1.81304 + 0.827989i
\(704\) −5.03062 + 0.723295i −0.189599 + 0.0272602i
\(705\) 6.65038 + 7.67494i 0.250468 + 0.289055i
\(706\) 16.1334 7.36789i 0.607190 0.277294i
\(707\) 9.41903 + 31.6737i 0.354239 + 1.19121i
\(708\) 0.721744 5.01984i 0.0271248 0.188657i
\(709\) −5.31246 + 8.26635i −0.199514 + 0.310449i −0.926566 0.376133i \(-0.877254\pi\)
0.727052 + 0.686582i \(0.240890\pi\)
\(710\) 3.78173 4.36434i 0.141926 0.163791i
\(711\) 4.73661 16.1314i 0.177637 0.604975i
\(712\) 0.940292 0.0352389
\(713\) −23.0548 20.5865i −0.863409 0.770971i
\(714\) 1.04026 3.58854i 0.0389307 0.134298i
\(715\) −2.82245 0.828746i −0.105554 0.0309933i
\(716\) −5.48900 + 6.33465i −0.205134 + 0.236737i
\(717\) 3.79384 5.90333i 0.141684 0.220464i
\(718\) 29.0109 + 4.17114i 1.08268 + 0.155665i
\(719\) 10.8353 + 16.8600i 0.404088 + 0.628773i 0.982344 0.187082i \(-0.0599031\pi\)
−0.578257 + 0.815855i \(0.696267\pi\)
\(720\) −0.411683 0.901461i −0.0153425 0.0335955i
\(721\) −8.49546 18.4339i −0.316387 0.686515i
\(722\) 4.86128 + 33.8109i 0.180918 + 1.25831i
\(723\) −25.6001 11.6912i −0.952076 0.434799i
\(724\) −12.0307 + 3.53254i −0.447118 + 0.131286i
\(725\) −8.12007 + 2.38427i −0.301572 + 0.0885495i
\(726\) 13.4902 + 6.16075i 0.500666 + 0.228647i
\(727\) 0.0652128 + 0.453565i 0.00241861 + 0.0168218i 0.990995 0.133899i \(-0.0427497\pi\)
−0.988576 + 0.150721i \(0.951841\pi\)
\(728\) 1.40335 0.646747i 0.0520116 0.0239701i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) −0.454927 0.707880i −0.0168376 0.0261998i
\(731\) −10.5236 1.51307i −0.389231 0.0559630i
\(732\) −4.28239 + 6.66353i −0.158282 + 0.246291i
\(733\) −30.3010 + 34.9692i −1.11919 + 1.29162i −0.167053 + 0.985948i \(0.553425\pi\)
−0.952138 + 0.305668i \(0.901120\pi\)
\(734\) 24.5732 + 7.21534i 0.907013 + 0.266323i
\(735\) −3.71014 + 5.86161i −0.136851 + 0.216209i
\(736\) 4.62119 1.28242i 0.170339 0.0472708i
\(737\) −8.37188 −0.308382
\(738\) 1.23123 4.19319i 0.0453223 0.154354i
\(739\) 25.7909 29.7643i 0.948734 1.09490i −0.0466483 0.998911i \(-0.514854\pi\)
0.995383 0.0959864i \(-0.0306005\pi\)
\(740\) −3.88350 + 6.04284i −0.142760 + 0.222139i
\(741\) 0.606003 4.21485i 0.0222621 0.154836i
\(742\) −4.01691 13.5078i −0.147465 0.495887i
\(743\) −16.2971 + 7.44261i −0.597881 + 0.273043i −0.691281 0.722586i \(-0.742954\pi\)
0.0934006 + 0.995629i \(0.470226\pi\)
\(744\) −4.22047 4.87069i −0.154730 0.178568i
\(745\) 20.9142 3.00701i 0.766237 0.110168i
\(746\) −3.28288 1.49924i −0.120195 0.0548912i
\(747\) −16.3029 + 4.78696i −0.596492 + 0.175146i
\(748\) −2.02205 6.88647i −0.0739335 0.251794i
\(749\) −30.4793 26.2269i −1.11369 0.958311i
\(750\) 8.84591 1.27185i 0.323007 0.0464414i
\(751\) −8.22625 + 7.12809i −0.300180 + 0.260108i −0.791907 0.610642i \(-0.790911\pi\)
0.491727 + 0.870750i \(0.336366\pi\)
\(752\) −9.32142 + 4.25695i −0.339917 + 0.155235i
\(753\) 4.38921 + 6.82975i 0.159952 + 0.248890i
\(754\) −1.21763 0.175069i −0.0443435 0.00637563i
\(755\) 1.23129 + 0.791305i 0.0448114 + 0.0287985i
\(756\) −1.43807 2.22080i −0.0523021 0.0807697i
\(757\) 4.42908 15.0840i 0.160977 0.548239i −0.839014 0.544110i \(-0.816867\pi\)
0.999991 0.00412914i \(-0.00131435\pi\)
\(758\) 20.9364i 0.760443i
\(759\) −23.2819 7.21470i −0.845079 0.261877i
\(760\) −7.22550 −0.262096
\(761\) 4.90444 16.7030i 0.177786 0.605483i −0.821587 0.570083i \(-0.806911\pi\)
0.999373 0.0354006i \(-0.0112707\pi\)
\(762\) 0.913622 + 0.791658i 0.0330970 + 0.0286787i
\(763\) −32.8571 + 28.6699i −1.18951 + 1.03792i
\(764\) −2.51090 0.361013i −0.0908413 0.0130610i
\(765\) 1.17733 0.756624i 0.0425664 0.0273558i
\(766\) 5.64091 + 12.3519i 0.203815 + 0.446292i
\(767\) 1.93964 + 2.23846i 0.0700362 + 0.0808261i
\(768\) 0.989821 0.142315i 0.0357171 0.00513534i
\(769\) −13.6236 + 29.8315i −0.491279 + 1.07575i 0.487927 + 0.872884i \(0.337753\pi\)
−0.979206 + 0.202867i \(0.934974\pi\)
\(770\) 0.0459646 + 13.3258i 0.00165645 + 0.480228i
\(771\) −12.6196 + 3.70546i −0.454485 + 0.133449i
\(772\) −7.57320 + 16.5830i −0.272565 + 0.596835i
\(773\) −3.03338 21.0976i −0.109103 0.758828i −0.968768 0.247969i \(-0.920237\pi\)
0.859665 0.510858i \(-0.170672\pi\)
\(774\) −5.68980 + 4.93024i −0.204516 + 0.177214i
\(775\) 23.5546 10.7570i 0.846106 0.386404i
\(776\) 1.28386 0.825086i 0.0460878 0.0296188i
\(777\) −7.90623 + 17.4715i −0.283634 + 0.626785i
\(778\) 8.06530 12.5499i 0.289155 0.449934i
\(779\) −24.0806 20.8660i −0.862778 0.747601i
\(780\) 0.555343 + 0.163063i 0.0198845 + 0.00583860i
\(781\) 29.6159i 1.05974i
\(782\) 2.72132 + 6.20179i 0.0973142 + 0.221776i
\(783\) 2.10630i 0.0752731i
\(784\) −4.62041 5.25850i −0.165015 0.187804i
\(785\) 0.0404696 0.0467044i 0.00144442 0.00166695i
\(786\) −1.57768 1.01391i −0.0562740 0.0361651i
\(787\) 4.10521 28.5524i 0.146335 1.01778i −0.775818 0.630957i \(-0.782663\pi\)
0.922153 0.386825i \(-0.126428\pi\)
\(788\) −11.0755 + 7.11779i −0.394548 + 0.253561i
\(789\) 8.88530 + 19.4561i 0.316325 + 0.692655i
\(790\) 12.5919 10.9109i 0.447998 0.388193i
\(791\) 8.51445 + 1.19423i 0.302739 + 0.0424620i
\(792\) −4.62307 2.11129i −0.164274 0.0750213i
\(793\) −1.30332 4.43872i −0.0462824 0.157623i
\(794\) 1.54139 + 5.24948i 0.0547018 + 0.186297i
\(795\) 2.19280 4.80157i 0.0777708 0.170294i
\(796\) −2.71403 18.8765i −0.0961962 0.669059i
\(797\) −27.4317 31.6579i −0.971681 1.12138i −0.992579 0.121598i \(-0.961198\pi\)
0.0208987 0.999782i \(-0.493347\pi\)
\(798\) −19.0842 + 2.81112i −0.675574 + 0.0995125i
\(799\) −7.82375 12.1740i −0.276784 0.430685i
\(800\) −0.571805 + 3.97699i −0.0202163 + 0.140608i
\(801\) 0.791024 + 0.508360i 0.0279495 + 0.0179620i
\(802\) 24.9089 + 21.5837i 0.879563 + 0.762146i
\(803\) −4.14055 1.21578i −0.146117 0.0429038i
\(804\) 1.64724 0.0580938
\(805\) −1.64690 12.4663i −0.0580455 0.439379i
\(806\) 3.76401 0.132582
\(807\) −25.3696 7.44919i −0.893052 0.262224i
\(808\) −9.43906 8.17899i −0.332065 0.287736i
\(809\) −36.2849 23.3189i −1.27571 0.819848i −0.285356 0.958421i \(-0.592112\pi\)
−0.990352 + 0.138573i \(0.955748\pi\)
\(810\) 0.141036 0.980930i 0.00495551 0.0344664i
\(811\) 3.52690 + 5.48796i 0.123846 + 0.192708i 0.897640 0.440729i \(-0.145280\pi\)
−0.773794 + 0.633437i \(0.781644\pi\)
\(812\) 0.812107 + 5.51326i 0.0284994 + 0.193478i
\(813\) −17.8108 20.5548i −0.624653 0.720888i
\(814\) 5.24262 + 36.4632i 0.183754 + 1.27804i
\(815\) 0.643509 1.40909i 0.0225411 0.0493582i
\(816\) 0.397857 + 1.35498i 0.0139278 + 0.0474337i
\(817\) 15.4648 + 52.6681i 0.541043 + 1.84262i
\(818\) −35.2245 16.0865i −1.23160 0.562451i
\(819\) 1.53023 + 0.214629i 0.0534706 + 0.00749975i
\(820\) 3.27312 2.83617i 0.114302 0.0990435i
\(821\) 13.8160 + 30.2529i 0.482182 + 1.05583i 0.981858 + 0.189619i \(0.0607254\pi\)
−0.499675 + 0.866213i \(0.666547\pi\)
\(822\) −11.1491 + 7.16509i −0.388870 + 0.249911i
\(823\) 7.14578 49.7000i 0.249086 1.73243i −0.354429 0.935083i \(-0.615325\pi\)
0.603516 0.797351i \(-0.293766\pi\)
\(824\) 6.45383 + 4.14762i 0.224830 + 0.144489i
\(825\) 13.3725 15.4327i 0.465570 0.537296i
\(826\) 7.21525 11.3128i 0.251051 0.393621i
\(827\) 20.4245i 0.710230i −0.934823 0.355115i \(-0.884442\pi\)
0.934823 0.355115i \(-0.115558\pi\)
\(828\) 4.58092 + 1.41956i 0.159198 + 0.0493331i
\(829\) 17.2144i 0.597881i −0.954272 0.298940i \(-0.903367\pi\)
0.954272 0.298940i \(-0.0966332\pi\)
\(830\) −16.1564 4.74396i −0.560798 0.164665i
\(831\) 6.72874 + 5.83049i 0.233417 + 0.202257i
\(832\) −0.315753 + 0.491321i −0.0109468 + 0.0170335i
\(833\) 6.42178 7.51526i 0.222501 0.260388i
\(834\) −4.99338 + 3.20905i −0.172907 + 0.111120i
\(835\) −6.14359 + 2.80568i −0.212608 + 0.0970947i
\(836\) −28.0046 + 24.2661i −0.968560 + 0.839262i
\(837\) −0.917197 6.37924i −0.0317030 0.220499i
\(838\) −7.15777 + 15.6733i −0.247261 + 0.541426i
\(839\) 5.45843 1.60274i 0.188446 0.0553327i −0.186148 0.982522i \(-0.559600\pi\)
0.374594 + 0.927189i \(0.377782\pi\)
\(840\) −0.00904396 2.62197i −0.000312046 0.0904665i
\(841\) −10.2040 + 22.3437i −0.351864 + 0.770474i
\(842\) 40.0324 5.75580i 1.37961 0.198358i
\(843\) 3.76604 + 4.34624i 0.129709 + 0.149692i
\(844\) −2.00987 4.40100i −0.0691826 0.151489i
\(845\) 10.5537 6.78244i 0.363058 0.233323i
\(846\) −10.1432 1.45837i −0.348729 0.0501396i
\(847\) 25.7972 + 29.5648i 0.886401 + 1.01586i
\(848\) 4.02545 + 3.48807i 0.138235 + 0.119781i
\(849\) −1.25098 + 4.26045i −0.0429336 + 0.146218i
\(850\) −5.67398 −0.194616
\(851\) −9.29534 33.4956i −0.318640 1.14821i
\(852\) 5.82720i 0.199637i
\(853\) −4.15327 + 14.1447i −0.142205 + 0.484307i −0.999536 0.0304592i \(-0.990303\pi\)
0.857331 + 0.514766i \(0.172121\pi\)
\(854\) −17.5909 + 11.3909i −0.601947 + 0.389788i
\(855\) −6.07848 3.90640i −0.207880 0.133596i
\(856\) 15.0432 + 2.16289i 0.514167 + 0.0739261i
\(857\) 2.39442 + 3.72580i 0.0817920 + 0.127271i 0.879739 0.475456i \(-0.157717\pi\)
−0.797947 + 0.602727i \(0.794081\pi\)
\(858\) 2.70003 1.23306i 0.0921776 0.0420961i
\(859\) 13.9001 12.0445i 0.474265 0.410953i −0.384657 0.923060i \(-0.625680\pi\)
0.858922 + 0.512107i \(0.171135\pi\)
\(860\) −7.38511 + 1.06182i −0.251830 + 0.0362077i
\(861\) 7.54164 8.76442i 0.257019 0.298691i
\(862\) 11.1915 + 38.1147i 0.381184 + 1.29819i
\(863\) 25.8410 7.58759i 0.879636 0.258285i 0.189427 0.981895i \(-0.439337\pi\)
0.690209 + 0.723610i \(0.257519\pi\)
\(864\) 0.909632 + 0.415415i 0.0309463 + 0.0141327i
\(865\) 16.9811 2.44151i 0.577374 0.0830138i
\(866\) 6.90652 + 7.97054i 0.234693 + 0.270850i
\(867\) 13.6497 6.23361i 0.463568 0.211705i
\(868\) −4.86035 16.3441i −0.164971 0.554754i
\(869\) 12.1603 84.5771i 0.412511 2.86908i
\(870\) −1.12852 + 1.75602i −0.0382605 + 0.0595345i
\(871\) −0.630007 + 0.727066i −0.0213470 + 0.0246357i
\(872\) 4.64346 15.8142i 0.157248 0.535536i
\(873\) 1.52613 0.0516515
\(874\) 23.2893 26.0817i 0.787773 0.882226i
\(875\) 22.7098 + 6.58320i 0.767732 + 0.222553i
\(876\) 0.814692 + 0.239215i 0.0275259 + 0.00808233i
\(877\) 3.47446 4.00975i 0.117324 0.135400i −0.694049 0.719928i \(-0.744175\pi\)
0.811373 + 0.584528i \(0.198720\pi\)
\(878\) 12.9709 20.1831i 0.437747 0.681147i
\(879\) 14.7076 + 2.11463i 0.496075 + 0.0713248i
\(880\) −2.72305 4.23714i −0.0917939 0.142834i
\(881\) −0.763533 1.67191i −0.0257241 0.0563279i 0.896334 0.443380i \(-0.146221\pi\)
−0.922058 + 0.387052i \(0.873493\pi\)
\(882\) −1.04398 6.92171i −0.0351526 0.233066i
\(883\) −0.754064 5.24463i −0.0253763 0.176496i 0.973192 0.229996i \(-0.0738713\pi\)
−0.998568 + 0.0535002i \(0.982962\pi\)
\(884\) −0.750229 0.342618i −0.0252329 0.0115235i
\(885\) 4.82232 1.41596i 0.162101 0.0475970i
\(886\) 5.68504 1.66928i 0.190993 0.0560805i
\(887\) 12.6602 + 5.78171i 0.425087 + 0.194131i 0.616459 0.787387i \(-0.288566\pi\)
−0.191372 + 0.981518i \(0.561294\pi\)
\(888\) −1.03153 7.17448i −0.0346160 0.240760i
\(889\) 1.33871 + 2.90480i 0.0448987 + 0.0974238i
\(890\) 0.387103 + 0.847637i 0.0129757 + 0.0284128i
\(891\) −2.74773 4.27555i −0.0920524 0.143236i
\(892\) −15.7319 2.26191i −0.526744 0.0757344i
\(893\) −40.3935 + 62.8536i −1.35172 + 2.10331i
\(894\) −13.9622 + 16.1132i −0.466964 + 0.538906i
\(895\) −7.97017 2.34025i −0.266413 0.0782260i
\(896\) 2.54114 + 0.736634i 0.0848934 + 0.0246092i
\(897\) −2.37859 + 1.47902i −0.0794189 + 0.0493830i
\(898\) −37.5840 −1.25419
\(899\) −3.82446 + 13.0249i −0.127553 + 0.434405i
\(900\) −2.63116 + 3.03652i −0.0877052 + 0.101217i
\(901\) −4.06664 + 6.32781i −0.135479 + 0.210810i
\(902\) 3.16095 21.9849i 0.105248 0.732018i
\(903\) −19.0927 + 5.67773i −0.635365 + 0.188943i
\(904\) −2.95600 + 1.34996i −0.0983150 + 0.0448989i
\(905\) −8.13729 9.39094i −0.270493 0.312165i
\(906\) −1.46188 + 0.210186i −0.0485676 + 0.00698297i
\(907\) −48.5320 22.1638i −1.61148 0.735938i −0.612948 0.790124i \(-0.710016\pi\)
−0.998531 + 0.0541860i \(0.982744\pi\)
\(908\) −7.63882 + 2.24296i −0.253503 + 0.0744352i
\(909\) −3.51874 11.9837i −0.116709 0.397476i
\(910\) 1.16075 + 0.998809i 0.0384786 + 0.0331102i
\(911\) −30.5101 + 4.38669i −1.01084 + 0.145337i −0.627785 0.778387i \(-0.716038\pi\)
−0.383059 + 0.923724i \(0.625129\pi\)
\(912\) 5.51017 4.77459i 0.182460 0.158102i
\(913\) −78.5513 + 35.8732i −2.59967 + 1.18723i
\(914\) −12.0084 18.6855i −0.397203 0.618060i
\(915\) −7.76990 1.11714i −0.256865 0.0369316i
\(916\) −11.5294 7.40952i −0.380943 0.244817i
\(917\) −2.69695 4.16488i −0.0890611 0.137536i
\(918\) −0.397857 + 1.35498i −0.0131312 + 0.0447209i
\(919\) 45.9512i 1.51579i −0.652375 0.757896i \(-0.726227\pi\)
0.652375 0.757896i \(-0.273773\pi\)
\(920\) 3.05852 + 3.63787i 0.100836 + 0.119937i
\(921\) −11.5311 −0.379964
\(922\) −0.292243 + 0.995290i −0.00962453 + 0.0327781i
\(923\) −2.57203 2.22868i −0.0846594 0.0733578i
\(924\) −8.84068 10.1319i −0.290837 0.333314i
\(925\) 28.8262 + 4.14459i 0.947801 + 0.136273i
\(926\) 1.00312 0.644663i 0.0329644 0.0211849i
\(927\) 3.18693 + 6.97840i 0.104673 + 0.229201i
\(928\) −1.37933 1.59184i −0.0452789 0.0522546i
\(929\) 37.4904 5.39031i 1.23002 0.176850i 0.503500 0.863995i \(-0.332045\pi\)
0.726520 + 0.687145i \(0.241136\pi\)
\(930\) 2.65323 5.80977i 0.0870030 0.190510i
\(931\) −49.0676 14.0406i −1.60813 0.460163i
\(932\) 20.6708 6.06951i 0.677096 0.198813i
\(933\) 4.34435 9.51280i 0.142228 0.311435i
\(934\) −2.71226 18.8642i −0.0887479 0.617255i
\(935\) 5.37544 4.65785i 0.175796 0.152328i
\(936\) −0.531256 + 0.242617i −0.0173646 + 0.00793017i
\(937\) 28.8306 18.5283i 0.941856 0.605294i 0.0229353 0.999737i \(-0.492699\pi\)
0.918920 + 0.394443i \(0.129062\pi\)
\(938\) 3.97058 + 1.79678i 0.129644 + 0.0586668i
\(939\) −17.9289 + 27.8979i −0.585087 + 0.910413i
\(940\) −7.67494 6.65038i −0.250329 0.216911i
\(941\) 36.2812 + 10.6531i 1.18273 + 0.347282i 0.813227 0.581946i \(-0.197709\pi\)
0.369507 + 0.929228i \(0.379527\pi\)
\(942\) 0.0623589i 0.00203176i
\(943\) −0.312303 + 20.9565i −0.0101700 + 0.682437i
\(944\) 5.07146i 0.165062i
\(945\) 1.40994 2.21063i 0.0458652 0.0719118i
\(946\) −25.0572 + 28.9176i −0.814681 + 0.940192i
\(947\) −5.51505 3.54431i −0.179215 0.115175i 0.447957 0.894055i \(-0.352152\pi\)
−0.627173 + 0.778880i \(0.715788\pi\)
\(948\) −2.39266 + 16.6413i −0.0777100 + 0.540485i
\(949\) −0.417173 + 0.268101i −0.0135420 + 0.00870293i
\(950\) 12.1693 + 26.6471i 0.394825 + 0.864546i
\(951\) 2.31646 2.00722i 0.0751162 0.0650886i
\(952\) −0.518968 + 3.70006i −0.0168199 + 0.119920i
\(953\) −52.5827 24.0137i −1.70332 0.777880i −0.997589 0.0694000i \(-0.977892\pi\)
−0.705731 0.708480i \(-0.749381\pi\)
\(954\) 1.50063 + 5.11068i 0.0485847 + 0.165464i
\(955\) −0.708257 2.41210i −0.0229187 0.0780538i
\(956\) −2.91509 + 6.38316i −0.0942808 + 0.206446i
\(957\) 1.52348 + 10.5960i 0.0492470 + 0.342521i
\(958\) −27.5730 31.8209i −0.890842 1.02809i
\(959\) −34.6897 + 5.10982i −1.12019 + 0.165005i
\(960\) 0.535784 + 0.833696i 0.0172924 + 0.0269074i
\(961\) 1.49943 10.4288i 0.0483687 0.336412i
\(962\) 3.56122 + 2.28866i 0.114818 + 0.0737892i
\(963\) 11.4858 + 9.95253i 0.370126 + 0.320716i
\(964\) 27.0033 + 7.92889i 0.869718 + 0.255372i
\(965\) −18.0667 −0.581587
\(966\) 9.49360 + 8.41852i 0.305452 + 0.270862i
\(967\) −3.98024 −0.127996 −0.0639980 0.997950i \(-0.520385\pi\)
−0.0639980 + 0.997950i \(0.520385\pi\)
\(968\) −14.2296 4.17819i −0.457357 0.134292i
\(969\) 7.78135 + 6.74258i 0.249973 + 0.216603i
\(970\) 1.27233 + 0.817674i 0.0408519 + 0.0262539i
\(971\) 1.08450 7.54284i 0.0348032 0.242061i −0.964992 0.262278i \(-0.915526\pi\)
0.999796 + 0.0202163i \(0.00643549\pi\)
\(972\) 0.540641 + 0.841254i 0.0173411 + 0.0269832i
\(973\) −15.5366 + 2.28855i −0.498080 + 0.0733675i
\(974\) 21.9771 + 25.3630i 0.704193 + 0.812682i
\(975\) −0.333953 2.32270i −0.0106951 0.0743858i
\(976\) 3.29048 7.20515i 0.105326 0.230631i
\(977\) −3.15633 10.7495i −0.100980 0.343906i 0.893469 0.449124i \(-0.148264\pi\)
−0.994449 + 0.105219i \(0.966446\pi\)
\(978\) 0.440381 + 1.49980i 0.0140818 + 0.0479583i
\(979\) 4.34704 + 1.98523i 0.138932 + 0.0634481i
\(980\) 2.83818 6.32995i 0.0906624 0.202203i
\(981\) 12.4561 10.7933i 0.397693 0.344603i
\(982\) −6.67927 14.6256i −0.213144 0.466720i
\(983\) −12.7099 + 8.16815i −0.405382 + 0.260523i −0.727405 0.686209i \(-0.759274\pi\)
0.322022 + 0.946732i \(0.395637\pi\)
\(984\) −0.621947 + 4.32573i −0.0198269 + 0.137899i
\(985\) −10.9760 7.05385i −0.349725 0.224754i
\(986\) 1.94787 2.24796i 0.0620328 0.0715896i
\(987\) −22.8587 14.5792i −0.727600 0.464062i
\(988\) 4.25819i 0.135471i
\(989\) 19.9710 30.0803i 0.635040 0.956499i
\(990\) 5.03670i 0.160077i
\(991\) −53.1756 15.6138i −1.68918 0.495988i −0.710902 0.703291i \(-0.751713\pi\)
−0.978277 + 0.207303i \(0.933531\pi\)
\(992\) 4.87069 + 4.22047i 0.154644 + 0.134000i
\(993\) 10.7028 16.6539i 0.339643 0.528495i
\(994\) −6.35618 + 14.0461i −0.201606 + 0.445515i
\(995\) 15.8991 10.2177i 0.504035 0.323924i
\(996\) 15.4557 7.05838i 0.489732 0.223653i
\(997\) −15.1590 + 13.1354i −0.480091 + 0.416001i −0.860995 0.508613i \(-0.830158\pi\)
0.380904 + 0.924615i \(0.375613\pi\)
\(998\) 2.67576 + 18.6103i 0.0846997 + 0.589099i
\(999\) 3.01103 6.59324i 0.0952649 0.208601i
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.s.b.97.3 160
7.6 odd 2 inner 966.2.s.b.97.14 yes 160
23.14 odd 22 inner 966.2.s.b.727.14 yes 160
161.83 even 22 inner 966.2.s.b.727.3 yes 160
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.s.b.97.3 160 1.1 even 1 trivial
966.2.s.b.97.14 yes 160 7.6 odd 2 inner
966.2.s.b.727.3 yes 160 161.83 even 22 inner
966.2.s.b.727.14 yes 160 23.14 odd 22 inner