Properties

Label 429.2.bg.b.256.4
Level $429$
Weight $2$
Character 429.256
Analytic conductor $3.426$
Analytic rank $0$
Dimension $112$
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] = [429,2,Mod(16,429)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(429, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([0, 12, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("429.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 429 = 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 429.bg (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.42558224671\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(14\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 256.4
Character \(\chi\) \(=\) 429.256
Dual form 429.2.bg.b.367.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.176325 - 1.67762i) q^{2} +(-0.978148 - 0.207912i) q^{3} +(-0.827032 + 0.175791i) q^{4} +(0.993113 + 0.721539i) q^{5} +(-0.176325 + 1.67762i) q^{6} +(-1.11199 + 0.236360i) q^{7} +(-0.601801 - 1.85215i) q^{8} +(0.913545 + 0.406737i) q^{9} +O(q^{10})\) \(q+(-0.176325 - 1.67762i) q^{2} +(-0.978148 - 0.207912i) q^{3} +(-0.827032 + 0.175791i) q^{4} +(0.993113 + 0.721539i) q^{5} +(-0.176325 + 1.67762i) q^{6} +(-1.11199 + 0.236360i) q^{7} +(-0.601801 - 1.85215i) q^{8} +(0.913545 + 0.406737i) q^{9} +(1.03536 - 1.79330i) q^{10} +(-2.96420 - 1.48779i) q^{11} +0.845508 q^{12} +(-2.43747 - 2.65683i) q^{13} +(0.592594 + 1.82382i) q^{14} +(-0.821395 - 0.912252i) q^{15} +(-4.54592 + 2.02398i) q^{16} +(0.565232 - 5.37782i) q^{17} +(0.521269 - 1.60430i) q^{18} +(0.236084 - 0.262198i) q^{19} +(-0.948177 - 0.422155i) q^{20} +1.13683 q^{21} +(-1.97328 + 5.23515i) q^{22} +(1.63636 - 2.83426i) q^{23} +(0.203566 + 1.93680i) q^{24} +(-1.07943 - 3.32214i) q^{25} +(-4.02737 + 4.55762i) q^{26} +(-0.809017 - 0.587785i) q^{27} +(0.878098 - 0.390955i) q^{28} +(-3.33609 - 3.70510i) q^{29} +(-1.38558 + 1.53884i) q^{30} +(-6.97570 + 5.06814i) q^{31} +(2.24956 + 3.89635i) q^{32} +(2.59010 + 2.07157i) q^{33} -9.12162 q^{34} +(-1.27487 - 0.567609i) q^{35} +(-0.827032 - 0.175791i) q^{36} +(6.53612 + 7.25910i) q^{37} +(-0.481497 - 0.349828i) q^{38} +(1.83182 + 3.10555i) q^{39} +(0.738745 - 2.27362i) q^{40} +(7.50302 + 1.59482i) q^{41} +(-0.200452 - 1.90717i) q^{42} +(4.03087 + 6.98167i) q^{43} +(2.71303 + 0.709366i) q^{44} +(0.613778 + 1.06309i) q^{45} +(-5.04336 - 2.24545i) q^{46} +(-0.140144 - 0.431320i) q^{47} +(4.86739 - 1.03460i) q^{48} +(-5.21417 + 2.32150i) q^{49} +(-5.38297 + 2.39665i) q^{50} +(-1.67099 + 5.14278i) q^{51} +(2.48291 + 1.76880i) q^{52} +(4.50262 - 3.27134i) q^{53} +(-0.843432 + 1.46087i) q^{54} +(-1.87029 - 3.61633i) q^{55} +(1.10697 + 1.91733i) q^{56} +(-0.285439 + 0.207384i) q^{57} +(-5.62752 + 6.25000i) q^{58} +(5.70073 - 1.21173i) q^{59} +(0.839686 + 0.610067i) q^{60} +(1.43570 - 13.6598i) q^{61} +(9.73242 + 10.8089i) q^{62} +(-1.11199 - 0.236360i) q^{63} +(-1.91160 + 1.38886i) q^{64} +(-0.503675 - 4.39726i) q^{65} +(3.01861 - 4.71048i) q^{66} +(4.50295 - 7.79934i) q^{67} +(0.477908 + 4.54699i) q^{68} +(-2.18988 + 2.43211i) q^{69} +(-0.727442 + 2.23884i) q^{70} +(0.418352 - 3.98035i) q^{71} +(0.203566 - 1.93680i) q^{72} +(2.20851 - 6.79711i) q^{73} +(11.0255 - 12.2451i) q^{74} +(0.365129 + 3.47397i) q^{75} +(-0.149157 + 0.258348i) q^{76} +(3.64781 + 0.953779i) q^{77} +(4.88695 - 3.62069i) q^{78} +(-12.7430 + 9.25834i) q^{79} +(-5.97499 - 1.27002i) q^{80} +(0.669131 + 0.743145i) q^{81} +(1.35253 - 12.8684i) q^{82} +(6.54868 + 4.75790i) q^{83} +(-0.940194 + 0.199844i) q^{84} +(4.44165 - 4.93295i) q^{85} +(11.0019 - 7.99332i) q^{86} +(2.49285 + 4.31775i) q^{87} +(-0.971747 + 6.38551i) q^{88} +(-0.558088 + 0.966637i) q^{89} +(1.67525 - 1.21714i) q^{90} +(3.33840 + 2.37824i) q^{91} +(-0.855086 + 2.63168i) q^{92} +(7.87699 - 3.50706i) q^{93} +(-0.698881 + 0.311162i) q^{94} +(0.423645 - 0.0900485i) q^{95} +(-1.39030 - 4.27891i) q^{96} +(4.67961 + 2.08350i) q^{97} +(4.81399 + 8.33807i) q^{98} +(-2.10280 - 2.56481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q + 14 q^{3} + 8 q^{4} - 6 q^{5} - 24 q^{8} + 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 14 q^{3} + 8 q^{4} - 6 q^{5} - 24 q^{8} + 14 q^{9} - 24 q^{10} + q^{11} + 104 q^{12} - 15 q^{13} - 30 q^{14} - 2 q^{15} + 24 q^{16} + 4 q^{17} - 28 q^{20} + 7 q^{22} + 8 q^{23} - 18 q^{24} - 42 q^{25} + 7 q^{26} - 28 q^{27} - 6 q^{28} - 2 q^{29} + 6 q^{30} + 12 q^{31} - 6 q^{32} + 6 q^{33} + 64 q^{34} - 8 q^{35} + 8 q^{36} + 4 q^{37} - 6 q^{38} + 12 q^{39} - 36 q^{40} - 26 q^{41} - 20 q^{42} - 76 q^{43} + 12 q^{44} - 2 q^{45} + 18 q^{46} + 50 q^{47} - 6 q^{48} + 32 q^{49} + 17 q^{50} - 18 q^{51} - 39 q^{52} - 54 q^{53} - 36 q^{55} + 12 q^{56} + 48 q^{58} + 20 q^{59} + 56 q^{60} + 34 q^{61} + 33 q^{62} - 68 q^{64} - 44 q^{65} - 4 q^{66} - 36 q^{67} + 4 q^{68} + 3 q^{69} - 92 q^{70} + 22 q^{71} - 18 q^{72} - 34 q^{73} - 4 q^{74} - 4 q^{75} + 4 q^{76} + 32 q^{77} - 18 q^{78} - 20 q^{79} + 30 q^{80} + 14 q^{81} - 41 q^{82} + 56 q^{83} + 9 q^{84} + 6 q^{85} - 86 q^{86} - 52 q^{87} - 70 q^{88} - 96 q^{89} - 12 q^{90} - 7 q^{91} - 126 q^{92} - 6 q^{93} - 10 q^{94} + 52 q^{95} - 88 q^{96} - 5 q^{97} + 104 q^{98} - 2 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).

\(n\) \(67\) \(79\) \(287\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{4}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.176325 1.67762i −0.124681 1.18626i −0.860633 0.509225i \(-0.829932\pi\)
0.735953 0.677033i \(-0.236735\pi\)
\(3\) −0.978148 0.207912i −0.564734 0.120038i
\(4\) −0.827032 + 0.175791i −0.413516 + 0.0878955i
\(5\) 0.993113 + 0.721539i 0.444134 + 0.322682i 0.787275 0.616602i \(-0.211491\pi\)
−0.343142 + 0.939284i \(0.611491\pi\)
\(6\) −0.176325 + 1.67762i −0.0719845 + 0.684887i
\(7\) −1.11199 + 0.236360i −0.420291 + 0.0893357i −0.413202 0.910639i \(-0.635590\pi\)
−0.00708892 + 0.999975i \(0.502256\pi\)
\(8\) −0.601801 1.85215i −0.212769 0.654835i
\(9\) 0.913545 + 0.406737i 0.304515 + 0.135579i
\(10\) 1.03536 1.79330i 0.327409 0.567090i
\(11\) −2.96420 1.48779i −0.893741 0.448584i
\(12\) 0.845508 0.244077
\(13\) −2.43747 2.65683i −0.676032 0.736872i
\(14\) 0.592594 + 1.82382i 0.158377 + 0.487436i
\(15\) −0.821395 0.912252i −0.212083 0.235542i
\(16\) −4.54592 + 2.02398i −1.13648 + 0.505994i
\(17\) 0.565232 5.37782i 0.137089 1.30431i −0.682299 0.731073i \(-0.739020\pi\)
0.819388 0.573240i \(-0.194314\pi\)
\(18\) 0.521269 1.60430i 0.122864 0.378138i
\(19\) 0.236084 0.262198i 0.0541615 0.0601524i −0.715455 0.698659i \(-0.753781\pi\)
0.769617 + 0.638506i \(0.220447\pi\)
\(20\) −0.948177 0.422155i −0.212019 0.0943968i
\(21\) 1.13683 0.248076
\(22\) −1.97328 + 5.23515i −0.420704 + 1.11614i
\(23\) 1.63636 2.83426i 0.341205 0.590985i −0.643452 0.765487i \(-0.722498\pi\)
0.984657 + 0.174502i \(0.0558315\pi\)
\(24\) 0.203566 + 1.93680i 0.0415527 + 0.395348i
\(25\) −1.07943 3.32214i −0.215886 0.664428i
\(26\) −4.02737 + 4.55762i −0.789833 + 0.893822i
\(27\) −0.809017 0.587785i −0.155695 0.113119i
\(28\) 0.878098 0.390955i 0.165945 0.0738835i
\(29\) −3.33609 3.70510i −0.619496 0.688020i 0.348979 0.937130i \(-0.386528\pi\)
−0.968475 + 0.249111i \(0.919862\pi\)
\(30\) −1.38558 + 1.53884i −0.252971 + 0.280953i
\(31\) −6.97570 + 5.06814i −1.25287 + 0.910265i −0.998385 0.0568114i \(-0.981907\pi\)
−0.254487 + 0.967076i \(0.581907\pi\)
\(32\) 2.24956 + 3.89635i 0.397669 + 0.688784i
\(33\) 2.59010 + 2.07157i 0.450878 + 0.360613i
\(34\) −9.12162 −1.56434
\(35\) −1.27487 0.567609i −0.215493 0.0959435i
\(36\) −0.827032 0.175791i −0.137839 0.0292985i
\(37\) 6.53612 + 7.25910i 1.07453 + 1.19339i 0.980233 + 0.197845i \(0.0633942\pi\)
0.0942988 + 0.995544i \(0.469939\pi\)
\(38\) −0.481497 0.349828i −0.0781092 0.0567496i
\(39\) 1.83182 + 3.10555i 0.293326 + 0.497286i
\(40\) 0.738745 2.27362i 0.116806 0.359491i
\(41\) 7.50302 + 1.59482i 1.17178 + 0.249068i 0.752376 0.658734i \(-0.228908\pi\)
0.419399 + 0.907802i \(0.362241\pi\)
\(42\) −0.200452 1.90717i −0.0309304 0.294283i
\(43\) 4.03087 + 6.98167i 0.614702 + 1.06470i 0.990437 + 0.137968i \(0.0440571\pi\)
−0.375735 + 0.926727i \(0.622610\pi\)
\(44\) 2.71303 + 0.709366i 0.409005 + 0.106941i
\(45\) 0.613778 + 1.06309i 0.0914966 + 0.158477i
\(46\) −5.04336 2.24545i −0.743603 0.331073i
\(47\) −0.140144 0.431320i −0.0204421 0.0629145i 0.940315 0.340305i \(-0.110530\pi\)
−0.960757 + 0.277391i \(0.910530\pi\)
\(48\) 4.86739 1.03460i 0.702548 0.149331i
\(49\) −5.21417 + 2.32150i −0.744881 + 0.331643i
\(50\) −5.38297 + 2.39665i −0.761267 + 0.338938i
\(51\) −1.67099 + 5.14278i −0.233986 + 0.720134i
\(52\) 2.48291 + 1.76880i 0.344318 + 0.245288i
\(53\) 4.50262 3.27134i 0.618482 0.449354i −0.233909 0.972259i \(-0.575152\pi\)
0.852391 + 0.522905i \(0.175152\pi\)
\(54\) −0.843432 + 1.46087i −0.114777 + 0.198799i
\(55\) −1.87029 3.61633i −0.252190 0.487626i
\(56\) 1.10697 + 1.91733i 0.147925 + 0.256214i
\(57\) −0.285439 + 0.207384i −0.0378074 + 0.0274687i
\(58\) −5.62752 + 6.25000i −0.738930 + 0.820665i
\(59\) 5.70073 1.21173i 0.742172 0.157753i 0.178717 0.983901i \(-0.442805\pi\)
0.563455 + 0.826147i \(0.309472\pi\)
\(60\) 0.839686 + 0.610067i 0.108403 + 0.0787594i
\(61\) 1.43570 13.6598i 0.183823 1.74896i −0.381753 0.924264i \(-0.624680\pi\)
0.565576 0.824696i \(-0.308654\pi\)
\(62\) 9.73242 + 10.8089i 1.23602 + 1.37274i
\(63\) −1.11199 0.236360i −0.140097 0.0297786i
\(64\) −1.91160 + 1.38886i −0.238950 + 0.173608i
\(65\) −0.503675 4.39726i −0.0624732 0.545413i
\(66\) 3.01861 4.71048i 0.371565 0.579820i
\(67\) 4.50295 7.79934i 0.550123 0.952841i −0.448142 0.893962i \(-0.647914\pi\)
0.998265 0.0588789i \(-0.0187526\pi\)
\(68\) 0.477908 + 4.54699i 0.0579549 + 0.551404i
\(69\) −2.18988 + 2.43211i −0.263631 + 0.292792i
\(70\) −0.727442 + 2.23884i −0.0869460 + 0.267592i
\(71\) 0.418352 3.98035i 0.0496493 0.472381i −0.941244 0.337728i \(-0.890341\pi\)
0.990893 0.134653i \(-0.0429919\pi\)
\(72\) 0.203566 1.93680i 0.0239905 0.228254i
\(73\) 2.20851 6.79711i 0.258487 0.795541i −0.734635 0.678462i \(-0.762647\pi\)
0.993123 0.117079i \(-0.0373532\pi\)
\(74\) 11.0255 12.2451i 1.28169 1.42347i
\(75\) 0.365129 + 3.47397i 0.0421615 + 0.401140i
\(76\) −0.149157 + 0.258348i −0.0171095 + 0.0296345i
\(77\) 3.64781 + 0.953779i 0.415706 + 0.108693i
\(78\) 4.88695 3.62069i 0.553338 0.409962i
\(79\) −12.7430 + 9.25834i −1.43370 + 1.04164i −0.444388 + 0.895834i \(0.646579\pi\)
−0.989313 + 0.145811i \(0.953421\pi\)
\(80\) −5.97499 1.27002i −0.668025 0.141993i
\(81\) 0.669131 + 0.743145i 0.0743478 + 0.0825716i
\(82\) 1.35253 12.8684i 0.149362 1.42108i
\(83\) 6.54868 + 4.75790i 0.718811 + 0.522247i 0.886004 0.463677i \(-0.153470\pi\)
−0.167193 + 0.985924i \(0.553470\pi\)
\(84\) −0.940194 + 0.199844i −0.102584 + 0.0218048i
\(85\) 4.44165 4.93295i 0.481764 0.535053i
\(86\) 11.0019 7.99332i 1.18636 0.861942i
\(87\) 2.49285 + 4.31775i 0.267262 + 0.462911i
\(88\) −0.971747 + 6.38551i −0.103589 + 0.680698i
\(89\) −0.558088 + 0.966637i −0.0591572 + 0.102463i −0.894087 0.447893i \(-0.852175\pi\)
0.834930 + 0.550356i \(0.185508\pi\)
\(90\) 1.67525 1.21714i 0.176587 0.128298i
\(91\) 3.33840 + 2.37824i 0.349959 + 0.249307i
\(92\) −0.855086 + 2.63168i −0.0891489 + 0.274372i
\(93\) 7.87699 3.50706i 0.816805 0.363665i
\(94\) −0.698881 + 0.311162i −0.0720840 + 0.0320939i
\(95\) 0.423645 0.0900485i 0.0434650 0.00923878i
\(96\) −1.39030 4.27891i −0.141897 0.436715i
\(97\) 4.67961 + 2.08350i 0.475142 + 0.211547i 0.630314 0.776341i \(-0.282926\pi\)
−0.155171 + 0.987888i \(0.549593\pi\)
\(98\) 4.81399 + 8.33807i 0.486286 + 0.842272i
\(99\) −2.10280 2.56481i −0.211339 0.257773i
\(100\) 1.47673 + 2.55776i 0.147673 + 0.255776i
\(101\) −1.39756 13.2969i −0.139062 1.32309i −0.812116 0.583496i \(-0.801685\pi\)
0.673054 0.739593i \(-0.264982\pi\)
\(102\) 8.92229 + 1.89649i 0.883438 + 0.187781i
\(103\) −1.87352 + 5.76610i −0.184603 + 0.568151i −0.999941 0.0108346i \(-0.996551\pi\)
0.815338 + 0.578985i \(0.196551\pi\)
\(104\) −3.45399 + 6.11345i −0.338691 + 0.599473i
\(105\) 1.12900 + 0.820267i 0.110179 + 0.0800498i
\(106\) −6.28201 6.97687i −0.610162 0.677654i
\(107\) −16.8340 3.57818i −1.62741 0.345916i −0.698323 0.715783i \(-0.746070\pi\)
−0.929085 + 0.369867i \(0.879403\pi\)
\(108\) 0.772410 + 0.343899i 0.0743252 + 0.0330917i
\(109\) 9.41607 0.901896 0.450948 0.892550i \(-0.351086\pi\)
0.450948 + 0.892550i \(0.351086\pi\)
\(110\) −5.73705 + 3.77530i −0.547007 + 0.359960i
\(111\) −4.88404 8.45941i −0.463573 0.802932i
\(112\) 4.57662 3.32511i 0.432450 0.314193i
\(113\) 6.01587 6.68130i 0.565926 0.628524i −0.390464 0.920618i \(-0.627685\pi\)
0.956390 + 0.292094i \(0.0943520\pi\)
\(114\) 0.398242 + 0.442293i 0.0372988 + 0.0414245i
\(115\) 3.67013 1.63405i 0.342241 0.152376i
\(116\) 3.41037 + 2.47778i 0.316645 + 0.230056i
\(117\) −1.14611 3.41854i −0.105958 0.316044i
\(118\) −3.03800 9.35001i −0.279671 0.860738i
\(119\) 0.642572 + 6.11366i 0.0589045 + 0.560438i
\(120\) −1.19531 + 2.07034i −0.109117 + 0.188996i
\(121\) 6.57299 + 8.82019i 0.597544 + 0.801836i
\(122\) −23.1692 −2.09764
\(123\) −7.00748 3.11993i −0.631843 0.281315i
\(124\) 4.87819 5.41778i 0.438074 0.486531i
\(125\) 3.22174 9.91549i 0.288161 0.886868i
\(126\) −0.200452 + 1.90717i −0.0178577 + 0.169904i
\(127\) 11.2628 5.01452i 0.999412 0.444967i 0.159212 0.987244i \(-0.449105\pi\)
0.840199 + 0.542277i \(0.182438\pi\)
\(128\) 8.68804 + 9.64905i 0.767921 + 0.852863i
\(129\) −2.49122 7.66717i −0.219339 0.675057i
\(130\) −7.28814 + 1.62032i −0.639212 + 0.142112i
\(131\) 6.66271 0.582124 0.291062 0.956704i \(-0.405991\pi\)
0.291062 + 0.956704i \(0.405991\pi\)
\(132\) −2.50626 1.25793i −0.218142 0.109489i
\(133\) −0.200549 + 0.347362i −0.0173898 + 0.0301201i
\(134\) −13.8783 6.17903i −1.19891 0.533787i
\(135\) −0.379336 1.16747i −0.0326480 0.100480i
\(136\) −10.3007 + 2.18948i −0.883278 + 0.187747i
\(137\) −1.82375 + 17.3518i −0.155813 + 1.48246i 0.585153 + 0.810923i \(0.301034\pi\)
−0.740967 + 0.671542i \(0.765632\pi\)
\(138\) 4.46629 + 3.24495i 0.380196 + 0.276229i
\(139\) 13.9646 2.96827i 1.18446 0.251765i 0.426760 0.904365i \(-0.359655\pi\)
0.757703 + 0.652599i \(0.226321\pi\)
\(140\) 1.15414 + 0.245320i 0.0975427 + 0.0207333i
\(141\) 0.0474054 + 0.451032i 0.00399225 + 0.0379837i
\(142\) −6.75130 −0.566556
\(143\) 3.27235 + 11.5018i 0.273648 + 0.961830i
\(144\) −4.97613 −0.414678
\(145\) −0.639738 6.08670i −0.0531274 0.505473i
\(146\) −11.7924 2.50655i −0.975946 0.207444i
\(147\) 5.58289 1.18668i 0.460469 0.0978758i
\(148\) −6.68167 4.85452i −0.549230 0.399039i
\(149\) −2.19238 + 20.8591i −0.179607 + 1.70885i 0.419150 + 0.907917i \(0.362328\pi\)
−0.598757 + 0.800931i \(0.704338\pi\)
\(150\) 5.76363 1.22510i 0.470599 0.100029i
\(151\) 0.264042 + 0.812636i 0.0214874 + 0.0661314i 0.961225 0.275764i \(-0.0889310\pi\)
−0.939738 + 0.341896i \(0.888931\pi\)
\(152\) −0.627707 0.279473i −0.0509138 0.0226683i
\(153\) 2.70372 4.68298i 0.218583 0.378597i
\(154\) 0.956880 6.28782i 0.0771076 0.506687i
\(155\) −10.5845 −0.850169
\(156\) −2.06090 2.24637i −0.165004 0.179854i
\(157\) −5.00409 15.4010i −0.399370 1.22913i −0.925506 0.378734i \(-0.876359\pi\)
0.526135 0.850401i \(-0.323641\pi\)
\(158\) 17.7789 + 19.7455i 1.41441 + 1.57087i
\(159\) −5.08438 + 2.26371i −0.403217 + 0.179524i
\(160\) −0.577302 + 5.49266i −0.0456397 + 0.434233i
\(161\) −1.14971 + 3.53843i −0.0906096 + 0.278868i
\(162\) 1.12873 1.25358i 0.0886816 0.0984908i
\(163\) 4.40152 + 1.95968i 0.344753 + 0.153494i 0.571807 0.820388i \(-0.306243\pi\)
−0.227054 + 0.973882i \(0.572909\pi\)
\(164\) −6.48559 −0.506440
\(165\) 1.07755 + 3.92616i 0.0838869 + 0.305651i
\(166\) 6.82726 11.8252i 0.529898 0.917810i
\(167\) −1.99469 18.9782i −0.154354 1.46858i −0.747917 0.663792i \(-0.768946\pi\)
0.593563 0.804788i \(-0.297721\pi\)
\(168\) −0.684145 2.10558i −0.0527829 0.162449i
\(169\) −1.11750 + 12.9519i −0.0859615 + 0.996298i
\(170\) −9.05880 6.58160i −0.694778 0.504786i
\(171\) 0.322319 0.143506i 0.0246484 0.0109742i
\(172\) −4.56097 5.06547i −0.347771 0.386239i
\(173\) −0.528663 + 0.587140i −0.0401935 + 0.0446394i −0.762906 0.646509i \(-0.776228\pi\)
0.722713 + 0.691148i \(0.242895\pi\)
\(174\) 6.80399 4.94339i 0.515810 0.374758i
\(175\) 1.98553 + 3.43904i 0.150092 + 0.259967i
\(176\) 16.4863 + 0.763887i 1.24270 + 0.0575801i
\(177\) −5.82809 −0.438066
\(178\) 1.72006 + 0.765819i 0.128924 + 0.0574005i
\(179\) 3.05594 + 0.649559i 0.228411 + 0.0485503i 0.320695 0.947182i \(-0.396083\pi\)
−0.0922840 + 0.995733i \(0.529417\pi\)
\(180\) −0.694496 0.771316i −0.0517647 0.0574905i
\(181\) 10.9715 + 7.97123i 0.815502 + 0.592497i 0.915421 0.402499i \(-0.131858\pi\)
−0.0999184 + 0.994996i \(0.531858\pi\)
\(182\) 3.40114 6.01992i 0.252110 0.446226i
\(183\) −4.24437 + 13.0628i −0.313753 + 0.965631i
\(184\) −6.23426 1.32513i −0.459596 0.0976901i
\(185\) 1.25339 + 11.9252i 0.0921508 + 0.876757i
\(186\) −7.27243 12.5962i −0.533241 0.923600i
\(187\) −9.67650 + 15.1000i −0.707616 + 1.10422i
\(188\) 0.191726 + 0.332079i 0.0139831 + 0.0242194i
\(189\) 1.03854 + 0.462390i 0.0755430 + 0.0336339i
\(190\) −0.225767 0.694838i −0.0163788 0.0504089i
\(191\) −9.96778 + 2.11872i −0.721243 + 0.153305i −0.553887 0.832592i \(-0.686856\pi\)
−0.167356 + 0.985897i \(0.553523\pi\)
\(192\) 2.15859 0.961066i 0.155783 0.0693590i
\(193\) 9.97536 4.44132i 0.718042 0.319693i −0.0149893 0.999888i \(-0.504771\pi\)
0.733032 + 0.680195i \(0.238105\pi\)
\(194\) 2.67019 8.21799i 0.191708 0.590017i
\(195\) −0.421574 + 4.40589i −0.0301895 + 0.315512i
\(196\) 3.90419 2.83656i 0.278870 0.202611i
\(197\) 0.199977 0.346371i 0.0142478 0.0246779i −0.858814 0.512288i \(-0.828798\pi\)
0.873061 + 0.487610i \(0.162131\pi\)
\(198\) −3.93201 + 3.97994i −0.279436 + 0.282842i
\(199\) 4.88736 + 8.46516i 0.346456 + 0.600079i 0.985617 0.168994i \(-0.0540517\pi\)
−0.639161 + 0.769073i \(0.720718\pi\)
\(200\) −5.50352 + 3.99854i −0.389157 + 0.282739i
\(201\) −6.02613 + 6.69269i −0.425050 + 0.472066i
\(202\) −22.0607 + 4.68915i −1.55219 + 0.329927i
\(203\) 4.58542 + 3.33150i 0.321833 + 0.233826i
\(204\) 0.477908 4.54699i 0.0334603 0.318353i
\(205\) 6.30063 + 6.99756i 0.440055 + 0.488731i
\(206\) 10.0037 + 2.12635i 0.696990 + 0.148150i
\(207\) 2.64769 1.92366i 0.184027 0.133704i
\(208\) 16.4579 + 7.14437i 1.14115 + 0.495373i
\(209\) −1.08990 + 0.425966i −0.0753897 + 0.0294647i
\(210\) 1.17703 2.03867i 0.0812226 0.140682i
\(211\) −1.71488 16.3160i −0.118057 1.12324i −0.879794 0.475354i \(-0.842320\pi\)
0.761737 0.647886i \(-0.224347\pi\)
\(212\) −3.14874 + 3.49703i −0.216256 + 0.240177i
\(213\) −1.23677 + 3.80639i −0.0847422 + 0.260810i
\(214\) −3.03458 + 28.8721i −0.207439 + 1.97365i
\(215\) −1.03444 + 9.84202i −0.0705481 + 0.671220i
\(216\) −0.601801 + 1.85215i −0.0409474 + 0.126023i
\(217\) 6.55897 7.28448i 0.445252 0.494503i
\(218\) −1.66029 15.7966i −0.112449 1.06988i
\(219\) −3.57345 + 6.18940i −0.241471 + 0.418241i
\(220\) 2.18251 + 2.66204i 0.147145 + 0.179475i
\(221\) −15.6657 + 11.6065i −1.05379 + 0.780740i
\(222\) −13.3305 + 9.68519i −0.894686 + 0.650027i
\(223\) 3.16206 + 0.672116i 0.211747 + 0.0450082i 0.312564 0.949897i \(-0.398812\pi\)
−0.100817 + 0.994905i \(0.532146\pi\)
\(224\) −3.42242 3.80098i −0.228670 0.253964i
\(225\) 0.365129 3.47397i 0.0243419 0.231598i
\(226\) −12.2695 8.91428i −0.816152 0.592969i
\(227\) −15.7359 + 3.34478i −1.04443 + 0.222001i −0.698017 0.716081i \(-0.745934\pi\)
−0.346414 + 0.938082i \(0.612601\pi\)
\(228\) 0.199611 0.221691i 0.0132196 0.0146818i
\(229\) −15.8373 + 11.5065i −1.04656 + 0.760370i −0.971555 0.236813i \(-0.923897\pi\)
−0.0750042 + 0.997183i \(0.523897\pi\)
\(230\) −3.38845 5.86896i −0.223428 0.386988i
\(231\) −3.36979 1.69136i −0.221716 0.111283i
\(232\) −4.85475 + 8.40868i −0.318730 + 0.552057i
\(233\) −4.69648 + 3.41219i −0.307677 + 0.223540i −0.730899 0.682486i \(-0.760899\pi\)
0.423222 + 0.906026i \(0.360899\pi\)
\(234\) −5.53294 + 2.52551i −0.361699 + 0.165098i
\(235\) 0.172035 0.529469i 0.0112223 0.0345388i
\(236\) −4.50167 + 2.00427i −0.293034 + 0.130467i
\(237\) 14.3895 6.40660i 0.934696 0.416154i
\(238\) 10.1431 2.15599i 0.657481 0.139752i
\(239\) −2.06034 6.34106i −0.133272 0.410169i 0.862045 0.506831i \(-0.169183\pi\)
−0.995317 + 0.0966621i \(0.969183\pi\)
\(240\) 5.58037 + 2.48454i 0.360212 + 0.160377i
\(241\) 4.11466 + 7.12680i 0.265048 + 0.459077i 0.967576 0.252579i \(-0.0812787\pi\)
−0.702528 + 0.711656i \(0.747945\pi\)
\(242\) 13.6380 12.5822i 0.876682 0.808816i
\(243\) −0.500000 0.866025i −0.0320750 0.0555556i
\(244\) 1.21390 + 11.5495i 0.0777120 + 0.739380i
\(245\) −6.85331 1.45672i −0.437842 0.0930662i
\(246\) −3.99847 + 12.3060i −0.254933 + 0.784604i
\(247\) −1.27206 + 0.0118636i −0.0809395 + 0.000754866i
\(248\) 13.5850 + 9.87005i 0.862646 + 0.626749i
\(249\) −5.41636 6.01547i −0.343248 0.381215i
\(250\) −17.2025 3.65651i −1.08798 0.231258i
\(251\) −12.0919 5.38366i −0.763234 0.339814i −0.0120682 0.999927i \(-0.503842\pi\)
−0.751166 + 0.660113i \(0.770508\pi\)
\(252\) 0.961198 0.0605498
\(253\) −9.06729 + 5.96677i −0.570056 + 0.375128i
\(254\) −10.3984 18.0105i −0.652453 1.13008i
\(255\) −5.37020 + 3.90168i −0.336295 + 0.244333i
\(256\) 11.4934 12.7647i 0.718337 0.797795i
\(257\) −9.28709 10.3144i −0.579313 0.643392i 0.380251 0.924883i \(-0.375838\pi\)
−0.959564 + 0.281491i \(0.909171\pi\)
\(258\) −12.4234 + 5.53123i −0.773444 + 0.344360i
\(259\) −8.98384 6.52714i −0.558229 0.405577i
\(260\) 1.18955 + 3.54814i 0.0737730 + 0.220046i
\(261\) −1.54067 4.74169i −0.0953649 0.293503i
\(262\) −1.17480 11.1775i −0.0725796 0.690549i
\(263\) −1.51955 + 2.63193i −0.0936992 + 0.162292i −0.909065 0.416654i \(-0.863203\pi\)
0.815366 + 0.578946i \(0.196536\pi\)
\(264\) 2.27813 6.04393i 0.140209 0.371978i
\(265\) 6.83201 0.419687
\(266\) 0.618104 + 0.275198i 0.0378984 + 0.0168734i
\(267\) 0.746868 0.829480i 0.0457075 0.0507634i
\(268\) −2.35303 + 7.24188i −0.143734 + 0.442368i
\(269\) 3.07499 29.2566i 0.187486 1.78381i −0.346238 0.938147i \(-0.612541\pi\)
0.533724 0.845659i \(-0.320792\pi\)
\(270\) −1.89170 + 0.842237i −0.115125 + 0.0512569i
\(271\) −13.8221 15.3510i −0.839632 0.932506i 0.158866 0.987300i \(-0.449216\pi\)
−0.998498 + 0.0547947i \(0.982550\pi\)
\(272\) 8.31508 + 25.5912i 0.504176 + 1.55169i
\(273\) −2.77098 3.02036i −0.167708 0.182801i
\(274\) 29.4314 1.77801
\(275\) −1.74299 + 11.4535i −0.105106 + 0.690670i
\(276\) 1.38356 2.39639i 0.0832804 0.144246i
\(277\) 21.5360 + 9.58846i 1.29397 + 0.576114i 0.934142 0.356902i \(-0.116167\pi\)
0.359833 + 0.933017i \(0.382834\pi\)
\(278\) −7.44195 22.9040i −0.446339 1.37369i
\(279\) −8.43401 + 1.79270i −0.504931 + 0.107326i
\(280\) −0.284081 + 2.70285i −0.0169771 + 0.161526i
\(281\) 4.04447 + 2.93848i 0.241273 + 0.175295i 0.701850 0.712325i \(-0.252358\pi\)
−0.460577 + 0.887620i \(0.652358\pi\)
\(282\) 0.748303 0.159057i 0.0445608 0.00947169i
\(283\) 13.7659 + 2.92603i 0.818297 + 0.173934i 0.597998 0.801498i \(-0.295963\pi\)
0.220299 + 0.975432i \(0.429297\pi\)
\(284\) 0.353720 + 3.36542i 0.0209894 + 0.199701i
\(285\) −0.433109 −0.0256552
\(286\) 18.7187 7.51783i 1.10686 0.444539i
\(287\) −8.72021 −0.514738
\(288\) 0.470286 + 4.47447i 0.0277118 + 0.263661i
\(289\) −11.9730 2.54493i −0.704292 0.149702i
\(290\) −10.0984 + 2.14648i −0.592998 + 0.126046i
\(291\) −4.14416 3.01091i −0.242935 0.176503i
\(292\) −0.631641 + 6.00966i −0.0369640 + 0.351689i
\(293\) 1.61970 0.344278i 0.0946239 0.0201129i −0.160356 0.987059i \(-0.551264\pi\)
0.254980 + 0.966946i \(0.417931\pi\)
\(294\) −2.97521 9.15675i −0.173518 0.534032i
\(295\) 6.53578 + 2.90992i 0.380528 + 0.169422i
\(296\) 9.51152 16.4744i 0.552846 0.957558i
\(297\) 1.52359 + 2.94596i 0.0884077 + 0.170942i
\(298\) 35.3803 2.04953
\(299\) −11.5187 + 2.56089i −0.666146 + 0.148100i
\(300\) −0.912666 2.80890i −0.0526928 0.162172i
\(301\) −6.13246 6.81079i −0.353469 0.392567i
\(302\) 1.31674 0.586250i 0.0757699 0.0337349i
\(303\) −1.39756 + 13.2969i −0.0802876 + 0.763886i
\(304\) −0.542538 + 1.66976i −0.0311167 + 0.0957674i
\(305\) 11.2819 12.5298i 0.646000 0.717456i
\(306\) −8.33301 3.71010i −0.476367 0.212092i
\(307\) −3.56447 −0.203435 −0.101718 0.994813i \(-0.532434\pi\)
−0.101718 + 0.994813i \(0.532434\pi\)
\(308\) −3.18452 0.147554i −0.181455 0.00840765i
\(309\) 3.03142 5.25057i 0.172451 0.298695i
\(310\) 1.86632 + 17.7568i 0.106000 + 1.00852i
\(311\) −4.09219 12.5945i −0.232047 0.714167i −0.997499 0.0706748i \(-0.977485\pi\)
0.765452 0.643493i \(-0.222515\pi\)
\(312\) 4.64957 5.26173i 0.263230 0.297887i
\(313\) −20.9327 15.2085i −1.18319 0.859636i −0.190660 0.981656i \(-0.561063\pi\)
−0.992528 + 0.122020i \(0.961063\pi\)
\(314\) −24.9547 + 11.1106i −1.40828 + 0.627006i
\(315\) −0.933786 1.03707i −0.0526129 0.0584325i
\(316\) 8.91134 9.89705i 0.501302 0.556753i
\(317\) 14.7747 10.7345i 0.829830 0.602907i −0.0896810 0.995971i \(-0.528585\pi\)
0.919511 + 0.393064i \(0.128585\pi\)
\(318\) 4.69416 + 8.13052i 0.263235 + 0.455937i
\(319\) 4.37644 + 15.9460i 0.245034 + 0.892807i
\(320\) −2.90056 −0.162146
\(321\) 15.7222 + 6.99998i 0.877529 + 0.390701i
\(322\) 6.13888 + 1.30486i 0.342106 + 0.0727170i
\(323\) −1.27661 1.41782i −0.0710326 0.0788897i
\(324\) −0.684031 0.496977i −0.0380017 0.0276098i
\(325\) −6.19529 + 10.9655i −0.343653 + 0.608255i
\(326\) 2.51151 7.72962i 0.139099 0.428104i
\(327\) −9.21030 1.95771i −0.509331 0.108262i
\(328\) −1.56148 14.8565i −0.0862184 0.820314i
\(329\) 0.257785 + 0.446497i 0.0142122 + 0.0246162i
\(330\) 6.39661 2.50000i 0.352122 0.137620i
\(331\) −2.32987 4.03546i −0.128061 0.221809i 0.794864 0.606788i \(-0.207542\pi\)
−0.922925 + 0.384979i \(0.874209\pi\)
\(332\) −6.25236 2.78373i −0.343143 0.152777i
\(333\) 3.01850 + 9.29000i 0.165413 + 0.509089i
\(334\) −31.4866 + 6.69268i −1.72287 + 0.366207i
\(335\) 10.0995 4.49658i 0.551793 0.245674i
\(336\) −5.16794 + 2.30091i −0.281934 + 0.125525i
\(337\) 6.47616 19.9316i 0.352779 1.08574i −0.604507 0.796600i \(-0.706630\pi\)
0.957286 0.289142i \(-0.0933701\pi\)
\(338\) 21.9254 0.409001i 1.19259 0.0222467i
\(339\) −7.27353 + 5.28453i −0.395044 + 0.287016i
\(340\) −2.80622 + 4.86051i −0.152188 + 0.263598i
\(341\) 28.2177 4.64465i 1.52807 0.251522i
\(342\) −0.297582 0.515427i −0.0160914 0.0278711i
\(343\) 11.6874 8.49138i 0.631059 0.458491i
\(344\) 10.5053 11.6674i 0.566410 0.629063i
\(345\) −3.92966 + 0.835276i −0.211566 + 0.0449697i
\(346\) 1.07822 + 0.783369i 0.0579652 + 0.0421142i
\(347\) 2.03642 19.3752i 0.109321 1.04012i −0.793050 0.609157i \(-0.791508\pi\)
0.902371 0.430961i \(-0.141825\pi\)
\(348\) −2.82069 3.13269i −0.151205 0.167930i
\(349\) −34.9284 7.42427i −1.86968 0.397412i −0.873656 0.486544i \(-0.838257\pi\)
−0.996020 + 0.0891323i \(0.971591\pi\)
\(350\) 5.41932 3.93736i 0.289675 0.210461i
\(351\) 0.410307 + 3.58213i 0.0219006 + 0.191200i
\(352\) −0.871213 14.8964i −0.0464358 0.793982i
\(353\) −10.3475 + 17.9224i −0.550742 + 0.953913i 0.447479 + 0.894294i \(0.352322\pi\)
−0.998221 + 0.0596190i \(0.981011\pi\)
\(354\) 1.02764 + 9.77733i 0.0546184 + 0.519659i
\(355\) 3.28745 3.65109i 0.174480 0.193779i
\(356\) 0.291630 0.897546i 0.0154564 0.0475699i
\(357\) 0.642572 6.11366i 0.0340085 0.323569i
\(358\) 0.550877 5.24124i 0.0291147 0.277008i
\(359\) −7.82600 + 24.0859i −0.413040 + 1.27121i 0.500952 + 0.865475i \(0.332983\pi\)
−0.913992 + 0.405732i \(0.867017\pi\)
\(360\) 1.59964 1.77658i 0.0843086 0.0936341i
\(361\) 1.97303 + 18.7721i 0.103844 + 0.988006i
\(362\) 11.4382 19.8115i 0.601177 1.04127i
\(363\) −4.59553 9.99405i −0.241203 0.524552i
\(364\) −3.17904 1.38002i −0.166627 0.0723327i
\(365\) 7.09769 5.15677i 0.371510 0.269918i
\(366\) 22.6629 + 4.81714i 1.18461 + 0.251796i
\(367\) 9.97208 + 11.0751i 0.520538 + 0.578116i 0.944893 0.327380i \(-0.106166\pi\)
−0.424355 + 0.905496i \(0.639499\pi\)
\(368\) −1.70230 + 16.1963i −0.0887385 + 0.844291i
\(369\) 6.20568 + 4.50869i 0.323055 + 0.234713i
\(370\) 19.7849 4.20542i 1.02857 0.218629i
\(371\) −4.23364 + 4.70193i −0.219799 + 0.244112i
\(372\) −5.89801 + 4.28515i −0.305797 + 0.222175i
\(373\) 9.42367 + 16.3223i 0.487939 + 0.845135i 0.999904 0.0138713i \(-0.00441550\pi\)
−0.511965 + 0.859006i \(0.671082\pi\)
\(374\) 27.0383 + 13.5710i 1.39812 + 0.701740i
\(375\) −5.21288 + 9.02897i −0.269192 + 0.466254i
\(376\) −0.714532 + 0.519138i −0.0368492 + 0.0267725i
\(377\) −1.71222 + 17.8945i −0.0881837 + 0.921613i
\(378\) 0.592594 1.82382i 0.0304798 0.0938070i
\(379\) 28.9489 12.8889i 1.48700 0.662056i 0.507165 0.861849i \(-0.330694\pi\)
0.979838 + 0.199793i \(0.0640269\pi\)
\(380\) −0.334538 + 0.148946i −0.0171614 + 0.00764076i
\(381\) −12.0593 + 2.56327i −0.617815 + 0.131321i
\(382\) 5.31198 + 16.3486i 0.271784 + 0.836467i
\(383\) −17.1277 7.62575i −0.875185 0.389657i −0.0805541 0.996750i \(-0.525669\pi\)
−0.794631 + 0.607093i \(0.792336\pi\)
\(384\) −6.49204 11.2445i −0.331295 0.573820i
\(385\) 2.93450 + 3.57925i 0.149556 + 0.182415i
\(386\) −9.20976 15.9518i −0.468765 0.811924i
\(387\) 0.842681 + 8.01758i 0.0428359 + 0.407556i
\(388\) −4.23644 0.900484i −0.215073 0.0457151i
\(389\) 7.33628 22.5787i 0.371964 1.14479i −0.573540 0.819177i \(-0.694430\pi\)
0.945504 0.325610i \(-0.105570\pi\)
\(390\) 7.46576 0.0696279i 0.378043 0.00352574i
\(391\) −14.3172 10.4021i −0.724054 0.526056i
\(392\) 7.43767 + 8.26037i 0.375659 + 0.417211i
\(393\) −6.51711 1.38526i −0.328745 0.0698769i
\(394\) −0.616341 0.274413i −0.0310508 0.0138247i
\(395\) −19.3355 −0.972875
\(396\) 2.18995 + 1.75153i 0.110049 + 0.0880175i
\(397\) −1.90570 3.30078i −0.0956446 0.165661i 0.814233 0.580538i \(-0.197158\pi\)
−0.909877 + 0.414877i \(0.863825\pi\)
\(398\) 13.3396 9.69177i 0.668652 0.485804i
\(399\) 0.268387 0.298075i 0.0134362 0.0149224i
\(400\) 11.6309 + 12.9175i 0.581547 + 0.645873i
\(401\) 10.6293 4.73245i 0.530800 0.236328i −0.123794 0.992308i \(-0.539506\pi\)
0.654594 + 0.755980i \(0.272840\pi\)
\(402\) 12.2904 + 8.92948i 0.612988 + 0.445362i
\(403\) 30.4682 + 6.17981i 1.51773 + 0.307839i
\(404\) 3.49330 + 10.7513i 0.173798 + 0.534895i
\(405\) 0.128315 + 1.22083i 0.00637600 + 0.0606636i
\(406\) 4.78048 8.28003i 0.237251 0.410931i
\(407\) −8.57441 31.2418i −0.425018 1.54860i
\(408\) 10.5308 0.521354
\(409\) 1.63153 + 0.726403i 0.0806739 + 0.0359183i 0.446677 0.894695i \(-0.352607\pi\)
−0.366003 + 0.930614i \(0.619274\pi\)
\(410\) 10.6283 11.8039i 0.524894 0.582954i
\(411\) 5.39154 16.5934i 0.265945 0.818494i
\(412\) 0.535832 5.09810i 0.0263985 0.251165i
\(413\) −6.05273 + 2.69485i −0.297835 + 0.132605i
\(414\) −3.69403 4.10264i −0.181552 0.201634i
\(415\) 3.07058 + 9.45026i 0.150729 + 0.463895i
\(416\) 4.86871 15.4739i 0.238708 0.758671i
\(417\) −14.2766 −0.699128
\(418\) 0.906786 + 1.75333i 0.0443523 + 0.0857580i
\(419\) −16.4450 + 28.4835i −0.803389 + 1.39151i 0.113984 + 0.993483i \(0.463639\pi\)
−0.917373 + 0.398029i \(0.869694\pi\)
\(420\) −1.07791 0.479919i −0.0525968 0.0234176i
\(421\) −2.94761 9.07181i −0.143658 0.442133i 0.853178 0.521619i \(-0.174672\pi\)
−0.996836 + 0.0794866i \(0.974672\pi\)
\(422\) −27.0697 + 5.75385i −1.31773 + 0.280093i
\(423\) 0.0474054 0.451032i 0.00230493 0.0219299i
\(424\) −8.76872 6.37084i −0.425846 0.309396i
\(425\) −18.4760 + 3.92720i −0.896218 + 0.190497i
\(426\) 6.60377 + 1.40367i 0.319953 + 0.0680082i
\(427\) 1.63215 + 15.5289i 0.0789853 + 0.751495i
\(428\) 14.5513 0.703363
\(429\) −0.809483 11.9308i −0.0390822 0.576026i
\(430\) 16.6936 0.805037
\(431\) 2.03448 + 19.3568i 0.0979975 + 0.932384i 0.927485 + 0.373859i \(0.121966\pi\)
−0.829488 + 0.558525i \(0.811368\pi\)
\(432\) 4.86739 + 1.03460i 0.234183 + 0.0497770i
\(433\) −3.26833 + 0.694705i −0.157066 + 0.0333854i −0.285773 0.958297i \(-0.592250\pi\)
0.128708 + 0.991683i \(0.458917\pi\)
\(434\) −13.3771 9.71905i −0.642122 0.466529i
\(435\) −0.639738 + 6.08670i −0.0306731 + 0.291835i
\(436\) −7.78739 + 1.65526i −0.372948 + 0.0792726i
\(437\) −0.356819 1.09818i −0.0170690 0.0525329i
\(438\) 11.0136 + 4.90356i 0.526249 + 0.234301i
\(439\) 0.227135 0.393409i 0.0108405 0.0187764i −0.860554 0.509359i \(-0.829883\pi\)
0.871395 + 0.490582i \(0.163216\pi\)
\(440\) −5.57245 + 5.64038i −0.265656 + 0.268895i
\(441\) −5.70762 −0.271791
\(442\) 22.2337 + 24.2346i 1.05755 + 1.15272i
\(443\) −2.27482 7.00117i −0.108080 0.332636i 0.882361 0.470573i \(-0.155953\pi\)
−0.990441 + 0.137937i \(0.955953\pi\)
\(444\) 5.52635 + 6.13763i 0.262269 + 0.291279i
\(445\) −1.25171 + 0.557298i −0.0593368 + 0.0264184i
\(446\) 0.570007 5.42325i 0.0269906 0.256798i
\(447\) 6.48134 19.9475i 0.306557 0.943484i
\(448\) 1.79741 1.99622i 0.0849194 0.0943126i
\(449\) 28.0961 + 12.5092i 1.32594 + 0.590346i 0.942804 0.333347i \(-0.108178\pi\)
0.383134 + 0.923693i \(0.374845\pi\)
\(450\) −5.89239 −0.277770
\(451\) −19.8677 15.8902i −0.935535 0.748242i
\(452\) −3.80081 + 6.58319i −0.178775 + 0.309647i
\(453\) −0.0893150 0.849775i −0.00419638 0.0399259i
\(454\) 8.38592 + 25.8092i 0.393571 + 1.21129i
\(455\) 1.59942 + 4.77065i 0.0749818 + 0.223651i
\(456\) 0.555885 + 0.403874i 0.0260317 + 0.0189131i
\(457\) 5.66825 2.52367i 0.265150 0.118052i −0.269856 0.962901i \(-0.586976\pi\)
0.535006 + 0.844848i \(0.320309\pi\)
\(458\) 22.0961 + 24.5402i 1.03248 + 1.14669i
\(459\) −3.61829 + 4.01851i −0.168887 + 0.187568i
\(460\) −2.74806 + 1.99658i −0.128129 + 0.0930912i
\(461\) −1.56681 2.71380i −0.0729737 0.126394i 0.827230 0.561864i \(-0.189916\pi\)
−0.900203 + 0.435470i \(0.856582\pi\)
\(462\) −2.24328 + 5.95147i −0.104367 + 0.276887i
\(463\) −7.21614 −0.335362 −0.167681 0.985841i \(-0.553628\pi\)
−0.167681 + 0.985841i \(0.553628\pi\)
\(464\) 22.6646 + 10.0909i 1.05218 + 0.468460i
\(465\) 10.3532 + 2.20065i 0.480119 + 0.102052i
\(466\) 6.55248 + 7.27727i 0.303538 + 0.337113i
\(467\) 9.82249 + 7.13646i 0.454531 + 0.330236i 0.791382 0.611322i \(-0.209362\pi\)
−0.336851 + 0.941558i \(0.609362\pi\)
\(468\) 1.54882 + 2.62577i 0.0715941 + 0.121376i
\(469\) −3.16377 + 9.73708i −0.146089 + 0.449617i
\(470\) −0.918583 0.195251i −0.0423711 0.00900625i
\(471\) 1.69269 + 16.1049i 0.0779951 + 0.742074i
\(472\) −5.67501 9.82941i −0.261214 0.452435i
\(473\) −1.56108 26.6922i −0.0717787 1.22731i
\(474\) −13.2851 23.0104i −0.610204 1.05690i
\(475\) −1.12590 0.501281i −0.0516597 0.0230004i
\(476\) −1.60615 4.94323i −0.0736180 0.226573i
\(477\) 5.44392 1.15714i 0.249260 0.0529819i
\(478\) −10.2746 + 4.57456i −0.469950 + 0.209235i
\(479\) −11.2539 + 5.01056i −0.514204 + 0.228938i −0.647399 0.762152i \(-0.724143\pi\)
0.133195 + 0.991090i \(0.457476\pi\)
\(480\) 1.70667 5.25260i 0.0778987 0.239748i
\(481\) 3.35461 35.0592i 0.152957 1.59856i
\(482\) 11.2306 8.15948i 0.511538 0.371654i
\(483\) 1.86027 3.22207i 0.0846450 0.146609i
\(484\) −6.98658 6.13911i −0.317572 0.279050i
\(485\) 3.14406 + 5.44567i 0.142764 + 0.247275i
\(486\) −1.36470 + 0.991513i −0.0619041 + 0.0449760i
\(487\) 10.7508 11.9399i 0.487164 0.541051i −0.448574 0.893746i \(-0.648068\pi\)
0.935738 + 0.352695i \(0.114735\pi\)
\(488\) −26.1641 + 5.56135i −1.18439 + 0.251750i
\(489\) −3.89789 2.83198i −0.176269 0.128067i
\(490\) −1.23541 + 11.7541i −0.0558101 + 0.530998i
\(491\) 10.5145 + 11.6775i 0.474513 + 0.527000i 0.932118 0.362156i \(-0.117959\pi\)
−0.457604 + 0.889156i \(0.651292\pi\)
\(492\) 6.34387 + 1.34843i 0.286004 + 0.0607919i
\(493\) −21.8110 + 15.8466i −0.982319 + 0.713697i
\(494\) 0.244200 + 2.13195i 0.0109871 + 0.0959210i
\(495\) −0.237705 4.06440i −0.0106841 0.182681i
\(496\) 21.4532 37.1580i 0.963277 1.66844i
\(497\) 0.475595 + 4.52498i 0.0213333 + 0.202973i
\(498\) −9.13665 + 10.1473i −0.409423 + 0.454710i
\(499\) −4.07936 + 12.5550i −0.182617 + 0.562039i −0.999899 0.0141996i \(-0.995480\pi\)
0.817282 + 0.576238i \(0.195480\pi\)
\(500\) −0.921426 + 8.76678i −0.0412074 + 0.392062i
\(501\) −1.99469 + 18.9782i −0.0891163 + 0.847885i
\(502\) −6.89964 + 21.2349i −0.307946 + 0.947761i
\(503\) −7.42329 + 8.24440i −0.330988 + 0.367600i −0.885551 0.464542i \(-0.846219\pi\)
0.554563 + 0.832142i \(0.312886\pi\)
\(504\) 0.231420 + 2.20181i 0.0103083 + 0.0980765i
\(505\) 8.20628 14.2137i 0.365175 0.632501i
\(506\) 11.6088 + 14.1594i 0.516074 + 0.629462i
\(507\) 3.78593 12.4365i 0.168139 0.552325i
\(508\) −8.43319 + 6.12707i −0.374162 + 0.271845i
\(509\) 32.4083 + 6.88859i 1.43647 + 0.305331i 0.859375 0.511346i \(-0.170853\pi\)
0.577095 + 0.816677i \(0.304186\pi\)
\(510\) 7.49245 + 8.32121i 0.331771 + 0.368469i
\(511\) −0.849274 + 8.08030i −0.0375697 + 0.357451i
\(512\) −2.43228 1.76715i −0.107492 0.0780978i
\(513\) −0.345112 + 0.0733559i −0.0152371 + 0.00323874i
\(514\) −15.6661 + 17.3989i −0.691000 + 0.767433i
\(515\) −6.02109 + 4.37457i −0.265321 + 0.192767i
\(516\) 3.40813 + 5.90306i 0.150035 + 0.259868i
\(517\) −0.226295 + 1.48702i −0.00995246 + 0.0653992i
\(518\) −9.36601 + 16.2224i −0.411519 + 0.712771i
\(519\) 0.639183 0.464394i 0.0280570 0.0203846i
\(520\) −7.84130 + 3.57916i −0.343864 + 0.156957i
\(521\) −5.44170 + 16.7478i −0.238405 + 0.733736i 0.758246 + 0.651968i \(0.226056\pi\)
−0.996651 + 0.0817673i \(0.973944\pi\)
\(522\) −7.68310 + 3.42074i −0.336280 + 0.149722i
\(523\) 20.8928 9.30209i 0.913580 0.406752i 0.104550 0.994520i \(-0.466660\pi\)
0.809030 + 0.587767i \(0.199993\pi\)
\(524\) −5.51027 + 1.17124i −0.240717 + 0.0511661i
\(525\) −1.22713 3.77671i −0.0535562 0.164829i
\(526\) 4.68332 + 2.08515i 0.204202 + 0.0909168i
\(527\) 23.3127 + 40.3787i 1.01552 + 1.75892i
\(528\) −15.9672 4.17488i −0.694883 0.181688i
\(529\) 6.14463 + 10.6428i 0.267158 + 0.462731i
\(530\) −1.20466 11.4615i −0.0523269 0.497858i
\(531\) 5.70073 + 1.21173i 0.247391 + 0.0525845i
\(532\) 0.104798 0.322534i 0.00454355 0.0139836i
\(533\) −14.0512 23.8216i −0.608626 1.03183i
\(534\) −1.52325 1.10670i −0.0659173 0.0478917i
\(535\) −14.1363 15.7000i −0.611166 0.678768i
\(536\) −17.1555 3.64651i −0.741003 0.157505i
\(537\) −2.85411 1.27073i −0.123164 0.0548360i
\(538\) −49.6237 −2.13943
\(539\) 18.9097 + 0.876177i 0.814500 + 0.0377396i
\(540\) 0.518954 + 0.898855i 0.0223322 + 0.0386806i
\(541\) −20.6087 + 14.9731i −0.886037 + 0.643743i −0.934842 0.355065i \(-0.884459\pi\)
0.0488049 + 0.998808i \(0.484459\pi\)
\(542\) −23.3160 + 25.8950i −1.00151 + 1.11229i
\(543\) −9.07439 10.0781i −0.389420 0.432494i
\(544\) 22.2254 9.89538i 0.952905 0.424261i
\(545\) 9.35122 + 6.79406i 0.400562 + 0.291026i
\(546\) −4.57843 + 5.18123i −0.195939 + 0.221736i
\(547\) −3.29887 10.1529i −0.141050 0.434106i 0.855432 0.517915i \(-0.173292\pi\)
−0.996482 + 0.0838086i \(0.973292\pi\)
\(548\) −1.54199 14.6711i −0.0658707 0.626718i
\(549\) 6.86753 11.8949i 0.293099 0.507662i
\(550\) 19.5219 + 0.904542i 0.832417 + 0.0385698i
\(551\) −1.75907 −0.0749388
\(552\) 5.82252 + 2.59235i 0.247823 + 0.110338i
\(553\) 11.9818 13.3071i 0.509516 0.565875i
\(554\) 12.2885 37.8200i 0.522087 1.60682i
\(555\) 1.25339 11.9252i 0.0532033 0.506196i
\(556\) −11.0274 + 4.90971i −0.467665 + 0.208218i
\(557\) −27.2375 30.2503i −1.15409 1.28175i −0.953271 0.302118i \(-0.902306\pi\)
−0.200819 0.979628i \(-0.564360\pi\)
\(558\) 4.49461 + 13.8330i 0.190272 + 0.585597i
\(559\) 8.72400 27.7269i 0.368986 1.17272i
\(560\) 6.94430 0.293450
\(561\) 12.6045 12.7582i 0.532163 0.538651i
\(562\) 4.21652 7.30322i 0.177863 0.308068i
\(563\) 29.9885 + 13.3517i 1.26387 + 0.562709i 0.925658 0.378362i \(-0.123513\pi\)
0.338208 + 0.941071i \(0.390179\pi\)
\(564\) −0.118493 0.364684i −0.00498946 0.0153560i
\(565\) 10.7953 2.29460i 0.454160 0.0965347i
\(566\) 2.48150 23.6099i 0.104305 0.992398i
\(567\) −0.919714 0.668211i −0.0386244 0.0280622i
\(568\) −7.62399 + 1.62053i −0.319896 + 0.0679959i
\(569\) 2.95028 + 0.627102i 0.123682 + 0.0262895i 0.269337 0.963046i \(-0.413195\pi\)
−0.145655 + 0.989336i \(0.546529\pi\)
\(570\) 0.0763681 + 0.726594i 0.00319871 + 0.0304337i
\(571\) −4.24547 −0.177668 −0.0888338 0.996046i \(-0.528314\pi\)
−0.0888338 + 0.996046i \(0.528314\pi\)
\(572\) −4.72826 8.93712i −0.197698 0.373680i
\(573\) 10.1905 0.425713
\(574\) 1.53759 + 14.6292i 0.0641779 + 0.610612i
\(575\) −11.1822 2.37684i −0.466329 0.0991212i
\(576\) −2.31124 + 0.491268i −0.0963015 + 0.0204695i
\(577\) 9.22804 + 6.70457i 0.384168 + 0.279115i 0.763062 0.646326i \(-0.223695\pi\)
−0.378893 + 0.925440i \(0.623695\pi\)
\(578\) −2.15830 + 20.5348i −0.0897734 + 0.854137i
\(579\) −10.6808 + 2.27027i −0.443878 + 0.0943492i
\(580\) 1.59907 + 4.92144i 0.0663978 + 0.204351i
\(581\) −8.40662 3.74287i −0.348765 0.155280i
\(582\) −4.32045 + 7.48324i −0.179088 + 0.310190i
\(583\) −18.2137 + 2.99799i −0.754336 + 0.124164i
\(584\) −13.9184 −0.575947
\(585\) 1.32840 4.22196i 0.0549225 0.174557i
\(586\) −0.863162 2.65654i −0.0356569 0.109741i
\(587\) −15.2330 16.9179i −0.628732 0.698278i 0.341657 0.939825i \(-0.389012\pi\)
−0.970389 + 0.241547i \(0.922345\pi\)
\(588\) −4.40862 + 1.96285i −0.181809 + 0.0809464i
\(589\) −0.317995 + 3.02552i −0.0131028 + 0.124665i
\(590\) 3.72932 11.4777i 0.153534 0.472528i
\(591\) −0.267622 + 0.297224i −0.0110085 + 0.0122262i
\(592\) −44.4050 19.7704i −1.82503 0.812557i
\(593\) 2.17360 0.0892590 0.0446295 0.999004i \(-0.485789\pi\)
0.0446295 + 0.999004i \(0.485789\pi\)
\(594\) 4.67356 3.07546i 0.191758 0.126188i
\(595\) −3.77310 + 6.53520i −0.154682 + 0.267917i
\(596\) −1.85368 17.6366i −0.0759297 0.722423i
\(597\) −3.02055 9.29631i −0.123623 0.380473i
\(598\) 6.32725 + 18.8726i 0.258740 + 0.771756i
\(599\) −20.6855 15.0289i −0.845186 0.614064i 0.0786282 0.996904i \(-0.474946\pi\)
−0.923815 + 0.382840i \(0.874946\pi\)
\(600\) 6.21459 2.76692i 0.253710 0.112959i
\(601\) −9.39011 10.4288i −0.383030 0.425398i 0.520540 0.853837i \(-0.325730\pi\)
−0.903571 + 0.428439i \(0.859064\pi\)
\(602\) −10.3446 + 11.4889i −0.421615 + 0.468251i
\(603\) 7.28593 5.29354i 0.296706 0.215570i
\(604\) −0.361225 0.625660i −0.0146980 0.0254577i
\(605\) 0.163608 + 13.5021i 0.00665160 + 0.548939i
\(606\) 22.5536 0.916176
\(607\) −29.4480 13.1111i −1.19526 0.532163i −0.290001 0.957026i \(-0.593656\pi\)
−0.905258 + 0.424863i \(0.860322\pi\)
\(608\) 1.55270 + 0.330037i 0.0629703 + 0.0133848i
\(609\) −3.79256 4.21206i −0.153682 0.170681i
\(610\) −23.0096 16.7175i −0.931632 0.676870i
\(611\) −0.804346 + 1.42367i −0.0325404 + 0.0575954i
\(612\) −1.41284 + 4.34827i −0.0571106 + 0.175768i
\(613\) −15.4126 3.27605i −0.622509 0.132318i −0.114150 0.993464i \(-0.536414\pi\)
−0.508359 + 0.861145i \(0.669748\pi\)
\(614\) 0.628507 + 5.97984i 0.0253645 + 0.241327i
\(615\) −4.70807 8.15462i −0.189848 0.328826i
\(616\) −0.428710 7.33028i −0.0172732 0.295346i
\(617\) 6.02261 + 10.4315i 0.242461 + 0.419955i 0.961415 0.275103i \(-0.0887120\pi\)
−0.718954 + 0.695058i \(0.755379\pi\)
\(618\) −9.34299 4.15977i −0.375830 0.167330i
\(619\) 4.41787 + 13.5968i 0.177569 + 0.546502i 0.999741 0.0227369i \(-0.00723800\pi\)
−0.822172 + 0.569239i \(0.807238\pi\)
\(620\) 8.75373 1.86066i 0.351558 0.0747261i
\(621\) −2.98978 + 1.33114i −0.119976 + 0.0534167i
\(622\) −20.4072 + 9.08588i −0.818255 + 0.364311i
\(623\) 0.392112 1.20680i 0.0157096 0.0483493i
\(624\) −14.6129 10.4100i −0.584983 0.416735i
\(625\) −3.77595 + 2.74339i −0.151038 + 0.109736i
\(626\) −21.8232 + 37.7989i −0.872230 + 1.51075i
\(627\) 1.15464 0.190055i 0.0461120 0.00759007i
\(628\) 6.84591 + 11.8575i 0.273181 + 0.473164i
\(629\) 42.7326 31.0470i 1.70386 1.23793i
\(630\) −1.57517 + 1.74940i −0.0627562 + 0.0696979i
\(631\) −43.3272 + 9.20947i −1.72483 + 0.366623i −0.960516 0.278224i \(-0.910254\pi\)
−0.764311 + 0.644848i \(0.776921\pi\)
\(632\) 24.8166 + 18.0303i 0.987153 + 0.717208i
\(633\) −1.71488 + 16.3160i −0.0681604 + 0.648503i
\(634\) −20.6135 22.8936i −0.818667 0.909222i
\(635\) 14.8034 + 3.14656i 0.587456 + 0.124868i
\(636\) 3.80700 2.76595i 0.150957 0.109677i
\(637\) 18.8772 + 8.19459i 0.747942 + 0.324681i
\(638\) 25.9798 10.1537i 1.02855 0.401989i
\(639\) 2.00114 3.46607i 0.0791638 0.137116i
\(640\) 1.66604 + 15.8514i 0.0658562 + 0.626580i
\(641\) −25.9861 + 28.8605i −1.02639 + 1.13992i −0.0363207 + 0.999340i \(0.511564\pi\)
−0.990069 + 0.140581i \(0.955103\pi\)
\(642\) 8.97111 27.6102i 0.354061 1.08969i
\(643\) 1.93209 18.3826i 0.0761942 0.724939i −0.888018 0.459808i \(-0.847918\pi\)
0.964212 0.265131i \(-0.0854152\pi\)
\(644\) 0.328819 3.12851i 0.0129573 0.123280i
\(645\) 3.05811 9.41188i 0.120413 0.370592i
\(646\) −2.15347 + 2.39167i −0.0847272 + 0.0940991i
\(647\) −0.797965 7.59213i −0.0313713 0.298478i −0.998946 0.0458939i \(-0.985386\pi\)
0.967575 0.252584i \(-0.0812803\pi\)
\(648\) 0.973735 1.68656i 0.0382519 0.0662543i
\(649\) −18.7009 4.88966i −0.734075 0.191936i
\(650\) 19.4883 + 8.45988i 0.764395 + 0.331824i
\(651\) −7.93017 + 5.76161i −0.310808 + 0.225815i
\(652\) −3.98469 0.846972i −0.156052 0.0331700i
\(653\) 18.8887 + 20.9780i 0.739171 + 0.820932i 0.989087 0.147335i \(-0.0470697\pi\)
−0.249916 + 0.968268i \(0.580403\pi\)
\(654\) −1.66029 + 15.7966i −0.0649225 + 0.617696i
\(655\) 6.61683 + 4.80741i 0.258541 + 0.187841i
\(656\) −37.3360 + 7.93602i −1.45773 + 0.309849i
\(657\) 4.78221 5.31118i 0.186572 0.207209i
\(658\) 0.703600 0.511195i 0.0274292 0.0199285i
\(659\) −19.5156 33.8020i −0.760220 1.31674i −0.942737 0.333538i \(-0.891758\pi\)
0.182516 0.983203i \(-0.441576\pi\)
\(660\) −1.58135 3.05763i −0.0615539 0.119018i
\(661\) 3.70774 6.42200i 0.144214 0.249787i −0.784865 0.619667i \(-0.787268\pi\)
0.929080 + 0.369880i \(0.120601\pi\)
\(662\) −6.35916 + 4.62020i −0.247156 + 0.179569i
\(663\) 17.7365 8.09583i 0.688828 0.314416i
\(664\) 4.87135 14.9925i 0.189045 0.581821i
\(665\) −0.449803 + 0.200265i −0.0174426 + 0.00776596i
\(666\) 15.0529 6.70197i 0.583287 0.259696i
\(667\) −15.9603 + 3.39246i −0.617985 + 0.131357i
\(668\) 4.98588 + 15.3450i 0.192909 + 0.593714i
\(669\) −2.95322 1.31486i −0.114178 0.0508354i
\(670\) −9.32435 16.1502i −0.360231 0.623938i
\(671\) −24.5786 + 38.3544i −0.948846 + 1.48066i
\(672\) 2.55736 + 4.42948i 0.0986524 + 0.170871i
\(673\) −1.72967 16.4567i −0.0666739 0.634359i −0.975924 0.218110i \(-0.930011\pi\)
0.909250 0.416250i \(-0.136656\pi\)
\(674\) −34.5796 7.35011i −1.33196 0.283116i
\(675\) −1.07943 + 3.32214i −0.0415473 + 0.127869i
\(676\) −1.35262 10.9081i −0.0520237 0.419541i
\(677\) −9.76910 7.09767i −0.375457 0.272785i 0.384013 0.923328i \(-0.374542\pi\)
−0.759470 + 0.650542i \(0.774542\pi\)
\(678\) 10.1480 + 11.2704i 0.389730 + 0.432839i
\(679\) −5.69612 1.21075i −0.218597 0.0464642i
\(680\) −11.8096 5.25796i −0.452876 0.201634i
\(681\) 16.0875 0.616474
\(682\) −12.7675 46.5196i −0.488891 1.78133i
\(683\) 9.79246 + 16.9610i 0.374698 + 0.648996i 0.990282 0.139075i \(-0.0444130\pi\)
−0.615584 + 0.788072i \(0.711080\pi\)
\(684\) −0.241341 + 0.175345i −0.00922792 + 0.00670447i
\(685\) −14.3312 + 15.9164i −0.547567 + 0.608135i
\(686\) −16.3061 18.1098i −0.622570 0.691434i
\(687\) 17.8836 7.96228i 0.682301 0.303780i
\(688\) −32.4548 23.5798i −1.23733 0.898970i
\(689\) −19.6664 3.98890i −0.749230 0.151965i
\(690\) 2.09418 + 6.44521i 0.0797239 + 0.245365i
\(691\) −3.74550 35.6360i −0.142486 1.35566i −0.798993 0.601340i \(-0.794634\pi\)
0.656508 0.754319i \(-0.272033\pi\)
\(692\) 0.334007 0.578517i 0.0126970 0.0219919i
\(693\) 2.94450 + 2.35502i 0.111852 + 0.0894597i
\(694\) −32.8634 −1.24748
\(695\) 16.0102 + 7.12819i 0.607301 + 0.270388i
\(696\) 6.49693 7.21557i 0.246265 0.273505i
\(697\) 12.8176 39.4485i 0.485501 1.49422i
\(698\) −6.29635 + 59.9058i −0.238321 + 2.26747i
\(699\) 5.30329 2.36118i 0.200589 0.0893079i
\(700\) −2.24665 2.49516i −0.0849155 0.0943082i
\(701\) 9.50612 + 29.2568i 0.359041 + 1.10502i 0.953629 + 0.300985i \(0.0973153\pi\)
−0.594588 + 0.804031i \(0.702685\pi\)
\(702\) 5.93711 1.31996i 0.224082 0.0498187i
\(703\) 3.44640 0.129983
\(704\) 7.73270 1.27281i 0.291437 0.0479708i
\(705\) −0.278358 + 0.482131i −0.0104836 + 0.0181581i
\(706\) 31.8916 + 14.1990i 1.20025 + 0.534388i
\(707\) 4.69692 + 14.4556i 0.176646 + 0.543660i
\(708\) 4.82001 1.02453i 0.181147 0.0385040i
\(709\) 1.26346 12.0210i 0.0474502 0.451458i −0.944841 0.327530i \(-0.893784\pi\)
0.992291 0.123929i \(-0.0395494\pi\)
\(710\) −6.70480 4.87133i −0.251627 0.182818i
\(711\) −15.4070 + 3.27486i −0.577809 + 0.122817i
\(712\) 2.12622 + 0.451942i 0.0796834 + 0.0169372i
\(713\) 2.94968 + 28.0643i 0.110466 + 1.05102i
\(714\) −10.3697 −0.388077
\(715\) −5.04919 + 13.7837i −0.188829 + 0.515483i
\(716\) −2.64154 −0.0987191
\(717\) 0.696932 + 6.63086i 0.0260274 + 0.247634i
\(718\) 41.7870 + 8.88211i 1.55948 + 0.331477i
\(719\) 21.9425 4.66403i 0.818318 0.173939i 0.220311 0.975430i \(-0.429293\pi\)
0.598007 + 0.801491i \(0.295959\pi\)
\(720\) −4.94186 3.59047i −0.184172 0.133809i
\(721\) 0.720453 6.85465i 0.0268311 0.255281i
\(722\) 31.1446 6.62000i 1.15908 0.246371i
\(723\) −2.54300 7.82654i −0.0945751 0.291072i
\(724\) −10.4750 4.66378i −0.389301 0.173328i
\(725\) −8.70780 + 15.0823i −0.323399 + 0.560144i
\(726\) −15.9559 + 9.47177i −0.592181 + 0.351530i
\(727\) 27.3245 1.01341 0.506705 0.862120i \(-0.330863\pi\)
0.506705 + 0.862120i \(0.330863\pi\)
\(728\) 2.39581 7.61446i 0.0887947 0.282211i
\(729\) 0.309017 + 0.951057i 0.0114451 + 0.0352243i
\(730\) −9.90262 10.9980i −0.366512 0.407053i
\(731\) 39.8246 17.7310i 1.47296 0.655806i
\(732\) 1.21390 11.5495i 0.0448670 0.426881i
\(733\) −3.05483 + 9.40179i −0.112833 + 0.347263i −0.991489 0.130192i \(-0.958441\pi\)
0.878656 + 0.477455i \(0.158441\pi\)
\(734\) 16.8215 18.6822i 0.620894 0.689573i
\(735\) 6.40068 + 2.84977i 0.236093 + 0.105115i
\(736\) 14.7244 0.542748
\(737\) −24.9514 + 16.4194i −0.919097 + 0.604816i
\(738\) 6.46966 11.2058i 0.238152 0.412491i
\(739\) −1.99622 18.9928i −0.0734321 0.698660i −0.967867 0.251462i \(-0.919089\pi\)
0.894435 0.447198i \(-0.147578\pi\)
\(740\) −3.13293 9.64217i −0.115169 0.354453i
\(741\) 1.24673 + 0.252873i 0.0457999 + 0.00928951i
\(742\) 8.63456 + 6.27338i 0.316985 + 0.230303i
\(743\) −2.89955 + 1.29096i −0.106374 + 0.0473608i −0.459234 0.888315i \(-0.651876\pi\)
0.352860 + 0.935676i \(0.385209\pi\)
\(744\) −11.2360 12.4788i −0.411932 0.457496i
\(745\) −17.2280 + 19.1336i −0.631184 + 0.701001i
\(746\) 25.7210 18.6874i 0.941712 0.684194i
\(747\) 4.04731 + 7.01014i 0.148083 + 0.256488i
\(748\) 5.34833 14.1892i 0.195554 0.518810i
\(749\) 19.5650 0.714888
\(750\) 16.0664 + 7.15321i 0.586661 + 0.261198i
\(751\) 20.2258 + 4.29913i 0.738051 + 0.156878i 0.561573 0.827427i \(-0.310196\pi\)
0.176478 + 0.984305i \(0.443530\pi\)
\(752\) 1.51007 + 1.67710i 0.0550664 + 0.0611575i
\(753\) 10.7083 + 7.78006i 0.390234 + 0.283521i
\(754\) 30.3221 0.282793i 1.10427 0.0102987i
\(755\) −0.324126 + 0.997556i −0.0117961 + 0.0363048i
\(756\) −0.940194 0.199844i −0.0341945 0.00726827i
\(757\) 3.35725 + 31.9421i 0.122021 + 1.16096i 0.868549 + 0.495603i \(0.165053\pi\)
−0.746528 + 0.665354i \(0.768281\pi\)
\(758\) −26.7271 46.2926i −0.970771 1.68142i
\(759\) 10.1097 3.95119i 0.366959 0.143419i
\(760\) −0.421734 0.730464i −0.0152979 0.0264967i
\(761\) −28.6677 12.7637i −1.03920 0.462683i −0.185064 0.982727i \(-0.559249\pi\)
−0.854140 + 0.520043i \(0.825916\pi\)
\(762\) 6.42656 + 19.7789i 0.232810 + 0.716515i
\(763\) −10.4705 + 2.22558i −0.379059 + 0.0805715i
\(764\) 7.87122 3.50449i 0.284771 0.126788i
\(765\) 6.06406 2.69989i 0.219246 0.0976148i
\(766\) −9.77308 + 30.0784i −0.353116 + 1.08678i
\(767\) −17.1147 12.1923i −0.617976 0.440239i
\(768\) −13.8962 + 10.0962i −0.501435 + 0.364314i
\(769\) −15.6500 + 27.1067i −0.564355 + 0.977491i 0.432755 + 0.901512i \(0.357542\pi\)
−0.997109 + 0.0759792i \(0.975792\pi\)
\(770\) 5.48720 5.55409i 0.197745 0.200155i
\(771\) 6.93967 + 12.0199i 0.249926 + 0.432885i
\(772\) −7.46920 + 5.42669i −0.268822 + 0.195311i
\(773\) −8.07698 + 8.97040i −0.290509 + 0.322643i −0.870678 0.491853i \(-0.836320\pi\)
0.580169 + 0.814496i \(0.302986\pi\)
\(774\) 13.3019 2.82740i 0.478126 0.101629i
\(775\) 24.3669 + 17.7036i 0.875283 + 0.635930i
\(776\) 1.04276 9.92120i 0.0374329 0.356150i
\(777\) 7.43045 + 8.25236i 0.266566 + 0.296052i
\(778\) −39.1722 8.32630i −1.40439 0.298512i
\(779\) 2.18950 1.59077i 0.0784471 0.0569952i
\(780\) −0.425861 3.71792i −0.0152483 0.133123i
\(781\) −7.16199 + 11.1762i −0.256276 + 0.399914i
\(782\) −14.9263 + 25.8531i −0.533763 + 0.924504i
\(783\) 0.521148 + 4.95839i 0.0186243 + 0.177198i
\(784\) 19.0046 21.1067i 0.678734 0.753811i
\(785\) 6.14280 18.9056i 0.219246 0.674770i
\(786\) −1.17480 + 11.1775i −0.0419039 + 0.398689i
\(787\) −1.03246 + 9.82318i −0.0368032 + 0.350159i 0.960588 + 0.277975i \(0.0896633\pi\)
−0.997391 + 0.0721833i \(0.977003\pi\)
\(788\) −0.104499 + 0.321614i −0.00372261 + 0.0114570i
\(789\) 2.03355 2.25848i 0.0723962 0.0804042i
\(790\) 3.40934 + 32.4377i 0.121299 + 1.15408i
\(791\) −5.11038 + 8.85143i −0.181704 + 0.314721i
\(792\) −3.48496 + 5.43821i −0.123833 + 0.193238i
\(793\) −39.7913 + 29.4809i −1.41303 + 1.04690i
\(794\) −5.20143 + 3.77906i −0.184592 + 0.134114i
\(795\) −6.68272 1.42046i −0.237012 0.0503784i
\(796\) −5.53010 6.14180i −0.196009 0.217690i
\(797\) 4.13199 39.3132i 0.146362 1.39255i −0.636944 0.770910i \(-0.719802\pi\)
0.783307 0.621636i \(-0.213532\pi\)
\(798\) −0.547380 0.397695i −0.0193770 0.0140782i
\(799\) −2.39877 + 0.509875i −0.0848625 + 0.0180381i
\(800\) 10.5160 11.6792i 0.371796 0.412922i
\(801\) −0.903005 + 0.656072i −0.0319061 + 0.0231812i
\(802\) −9.81348 16.9974i −0.346526 0.600201i
\(803\) −16.6591 + 16.8622i −0.587888 + 0.595054i
\(804\) 3.80728 6.59441i 0.134273 0.232567i
\(805\) −3.69491 + 2.68451i −0.130228 + 0.0946165i
\(806\) 4.99508 52.2038i 0.175944 1.83880i
\(807\) −9.09058 + 27.9779i −0.320004 + 0.984870i
\(808\) −23.7868 + 10.5906i −0.836817 + 0.372575i
\(809\) 33.8493 15.0707i 1.19008 0.529858i 0.286418 0.958105i \(-0.407535\pi\)
0.903662 + 0.428247i \(0.140869\pi\)
\(810\) 2.02547 0.430527i 0.0711677 0.0151272i
\(811\) −4.08424 12.5700i −0.143417 0.441392i 0.853387 0.521278i \(-0.174545\pi\)
−0.996804 + 0.0798856i \(0.974545\pi\)
\(812\) −4.37794 1.94918i −0.153635 0.0684029i
\(813\) 10.3284 + 17.8893i 0.362232 + 0.627405i
\(814\) −50.9001 + 19.8933i −1.78405 + 0.697261i
\(815\) 2.95722 + 5.12205i 0.103587 + 0.179418i
\(816\) −2.81267 26.7607i −0.0984631 0.936813i
\(817\) 2.78221 + 0.591376i 0.0973371 + 0.0206896i
\(818\) 0.930951 2.86517i 0.0325499 0.100178i
\(819\) 2.08246 + 3.53048i 0.0727671 + 0.123365i
\(820\) −6.44093 4.67961i −0.224927 0.163419i
\(821\) 11.8052 + 13.1110i 0.412005 + 0.457577i 0.913052 0.407842i \(-0.133719\pi\)
−0.501048 + 0.865420i \(0.667052\pi\)
\(822\) −28.7882 6.11912i −1.00410 0.213429i
\(823\) 41.3634 + 18.4162i 1.44184 + 0.641947i 0.970740 0.240134i \(-0.0771913\pi\)
0.471098 + 0.882081i \(0.343858\pi\)
\(824\) 11.8072 0.411323
\(825\) 4.08621 10.8408i 0.142263 0.377428i
\(826\) 5.58819 + 9.67903i 0.194438 + 0.336776i
\(827\) 6.28703 4.56780i 0.218622 0.158838i −0.473084 0.881017i \(-0.656859\pi\)
0.691706 + 0.722179i \(0.256859\pi\)
\(828\) −1.85156 + 2.05637i −0.0643463 + 0.0714638i
\(829\) 24.4137 + 27.1142i 0.847925 + 0.941716i 0.998903 0.0468214i \(-0.0149092\pi\)
−0.150979 + 0.988537i \(0.548243\pi\)
\(830\) 15.3126 6.81759i 0.531506 0.236642i
\(831\) −19.0719 13.8565i −0.661595 0.480677i
\(832\) 8.34944 + 1.69350i 0.289465 + 0.0587116i
\(833\) 9.53739 + 29.3531i 0.330451 + 1.01702i
\(834\) 2.51732 + 23.9507i 0.0871678 + 0.829346i
\(835\) 11.7126 20.2868i 0.405331 0.702053i
\(836\) 0.826498 0.543881i 0.0285850 0.0188105i
\(837\) 8.62243 0.298035
\(838\) 50.6843 + 22.5661i 1.75086 + 0.779533i
\(839\) −12.0739 + 13.4095i −0.416838 + 0.462946i −0.914595 0.404371i \(-0.867491\pi\)
0.497757 + 0.867317i \(0.334157\pi\)
\(840\) 0.839826 2.58472i 0.0289768 0.0891813i
\(841\) 0.433037 4.12007i 0.0149323 0.142071i
\(842\) −14.6993 + 6.54456i −0.506572 + 0.225541i
\(843\) −3.34514 3.71516i −0.115213 0.127957i
\(844\) 4.28647 + 13.1924i 0.147546 + 0.454101i
\(845\) −10.4551 + 12.0564i −0.359666 + 0.414752i
\(846\) −0.765020 −0.0263019
\(847\) −9.39382 8.25435i −0.322775 0.283623i
\(848\) −13.8474 + 23.9845i −0.475523 + 0.823630i
\(849\) −12.8567 5.72418i −0.441241 0.196453i
\(850\) 9.84614 + 30.3033i 0.337720 + 1.03939i
\(851\) 31.2697 6.64658i 1.07191 0.227842i
\(852\) 0.353720 3.36542i 0.0121183 0.115297i
\(853\) −8.18380 5.94588i −0.280208 0.203583i 0.438800 0.898585i \(-0.355404\pi\)
−0.719008 + 0.695002i \(0.755404\pi\)
\(854\) 25.7638 5.47626i 0.881619 0.187394i
\(855\) 0.423645 + 0.0900485i 0.0144883 + 0.00307959i
\(856\) 3.50339 + 33.3326i 0.119744 + 1.13928i
\(857\) −46.6515 −1.59358 −0.796792 0.604254i \(-0.793471\pi\)
−0.796792 + 0.604254i \(0.793471\pi\)
\(858\) −19.8727 + 3.46171i −0.678443 + 0.118181i
\(859\) 36.6983 1.25213 0.626065 0.779771i \(-0.284664\pi\)
0.626065 + 0.779771i \(0.284664\pi\)
\(860\) −0.874626 8.32151i −0.0298245 0.283761i
\(861\) 8.52965 + 1.81303i 0.290690 + 0.0617880i
\(862\) 32.1147 6.82618i 1.09383 0.232501i
\(863\) 19.5366 + 14.1942i 0.665035 + 0.483176i 0.868359 0.495935i \(-0.165175\pi\)
−0.203325 + 0.979111i \(0.565175\pi\)
\(864\) 0.470286 4.47447i 0.0159994 0.152225i
\(865\) −0.948666 + 0.201645i −0.0322556 + 0.00685614i
\(866\) 1.74174 + 5.36053i 0.0591868 + 0.182158i
\(867\) 11.1822 + 4.97864i 0.379767 + 0.169083i
\(868\) −4.14393 + 7.17751i −0.140654 + 0.243620i
\(869\) 51.5473 8.48472i 1.74862 0.287825i
\(870\) 10.3240 0.350016
\(871\) −31.6973 + 7.04707i −1.07402 + 0.238781i
\(872\) −5.66660 17.4400i −0.191895 0.590593i
\(873\) 3.42760 + 3.80674i 0.116007 + 0.128838i
\(874\) −1.77941 + 0.792244i −0.0601894 + 0.0267981i
\(875\) −1.23890 + 11.7874i −0.0418826 + 0.398486i
\(876\) 1.86732 5.74701i 0.0630908 0.194174i
\(877\) 11.2673 12.5136i 0.380471 0.422555i −0.522243 0.852796i \(-0.674905\pi\)
0.902714 + 0.430241i \(0.141571\pi\)
\(878\) −0.700041 0.311678i −0.0236252 0.0105186i
\(879\) −1.65588 −0.0558516
\(880\) 15.8216 + 12.6541i 0.533345 + 0.426570i
\(881\) 4.02435 6.97037i 0.135584 0.234838i −0.790237 0.612802i \(-0.790042\pi\)
0.925820 + 0.377964i \(0.123376\pi\)
\(882\) 1.00640 + 9.57523i 0.0338872 + 0.322415i
\(883\) 7.08476 + 21.8047i 0.238421 + 0.733785i 0.996649 + 0.0817956i \(0.0260655\pi\)
−0.758228 + 0.651990i \(0.773935\pi\)
\(884\) 10.9157 12.3529i 0.367135 0.415472i
\(885\) −5.78795 4.20519i −0.194560 0.141356i
\(886\) −11.3442 + 5.05077i −0.381116 + 0.169684i
\(887\) −1.22620 1.36183i −0.0411717 0.0457258i 0.722207 0.691677i \(-0.243128\pi\)
−0.763379 + 0.645951i \(0.776461\pi\)
\(888\) −12.7289 + 14.1369i −0.427154 + 0.474403i
\(889\) −11.3388 + 8.23816i −0.380293 + 0.276299i
\(890\) 1.15564 + 2.00163i 0.0387373 + 0.0670949i
\(891\) −0.877798 3.19835i −0.0294073 0.107149i
\(892\) −2.73328 −0.0915168
\(893\) −0.146177 0.0650823i −0.00489163 0.00217789i
\(894\) −34.6072 7.35599i −1.15744 0.246021i
\(895\) 2.56621 + 2.85006i 0.0857789 + 0.0952671i
\(896\) −11.9416 8.67610i −0.398942 0.289848i
\(897\) 11.7995 0.110045i 0.393973 0.00367431i
\(898\) 16.0317 49.3404i 0.534984 1.64651i
\(899\) 42.0495 + 8.93789i 1.40243 + 0.298095i
\(900\) 0.308720 + 2.93727i 0.0102907 + 0.0979090i
\(901\) −15.0477 26.0633i −0.501311 0.868296i
\(902\) −23.1547 + 36.1324i −0.770966 + 1.20308i
\(903\) 4.58241 + 7.93697i 0.152493 + 0.264126i
\(904\) −15.9952 7.12151i −0.531991 0.236858i
\(905\) 5.14435 + 15.8327i 0.171004 + 0.526296i
\(906\) −1.40985 + 0.299674i −0.0468393 + 0.00995599i
\(907\) 22.2276 9.89639i 0.738057 0.328604i −0.00304615 0.999995i \(-0.500970\pi\)
0.741103 + 0.671391i \(0.234303\pi\)
\(908\) 12.4261 5.53247i 0.412376 0.183602i
\(909\) 4.13159 12.7157i 0.137036 0.421755i
\(910\) 7.72133 3.52440i 0.255960 0.116833i
\(911\) 8.96280 6.51186i 0.296951 0.215747i −0.429326 0.903149i \(-0.641249\pi\)
0.726277 + 0.687402i \(0.241249\pi\)
\(912\) 0.877846 1.52047i 0.0290684 0.0503479i
\(913\) −12.3329 23.8464i −0.408159 0.789201i
\(914\) −5.23322 9.06420i −0.173100 0.299817i
\(915\) −13.6405 + 9.91038i −0.450940 + 0.327627i
\(916\) 11.0752 12.3003i 0.365936 0.406413i
\(917\) −7.40884 + 1.57480i −0.244662 + 0.0520044i
\(918\) 7.37954 + 5.36155i 0.243561 + 0.176958i
\(919\) −5.22062 + 49.6708i −0.172212 + 1.63849i 0.477730 + 0.878507i \(0.341460\pi\)
−0.649943 + 0.759983i \(0.725207\pi\)
\(920\) −5.23519 5.81427i −0.172599 0.191691i
\(921\) 3.48658 + 0.741096i 0.114887 + 0.0244199i
\(922\) −4.27646 + 3.10703i −0.140838 + 0.102325i
\(923\) −11.5948 + 8.59049i −0.381649 + 0.282760i
\(924\) 3.08425 + 0.806428i 0.101464 + 0.0265295i
\(925\) 17.0605 29.5496i 0.560945 0.971585i
\(926\) 1.27239 + 12.1060i 0.0418132 + 0.397826i
\(927\) −4.05683 + 4.50557i −0.133244 + 0.147982i
\(928\) 6.93164 21.3334i 0.227542 0.700303i
\(929\) 1.47424 14.0265i 0.0483684 0.460195i −0.943353 0.331790i \(-0.892348\pi\)
0.991722 0.128405i \(-0.0409858\pi\)
\(930\) 1.86632 17.7568i 0.0611990 0.582269i
\(931\) −0.622291 + 1.91522i −0.0203948 + 0.0627686i
\(932\) 3.28431 3.64759i 0.107581 0.119481i
\(933\) 1.38423 + 13.1701i 0.0453177 + 0.431169i
\(934\) 10.2403 17.7368i 0.335074 0.580365i
\(935\) −20.5051 + 8.01404i −0.670589 + 0.262087i
\(936\) −5.64194 + 4.18005i −0.184413 + 0.136629i
\(937\) −5.54137 + 4.02604i −0.181029 + 0.131525i −0.674609 0.738175i \(-0.735688\pi\)
0.493581 + 0.869700i \(0.335688\pi\)
\(938\) 16.8930 + 3.59072i 0.551576 + 0.117241i
\(939\) 17.3133 + 19.2283i 0.564997 + 0.627493i
\(940\) −0.0492024 + 0.468130i −0.00160481 + 0.0152687i
\(941\) −16.8570 12.2473i −0.549523 0.399252i 0.278087 0.960556i \(-0.410300\pi\)
−0.827610 + 0.561304i \(0.810300\pi\)
\(942\) 26.7194 5.67939i 0.870566 0.185045i
\(943\) 16.7978 18.6558i 0.547012 0.607518i
\(944\) −23.4626 + 17.0466i −0.763642 + 0.554818i
\(945\) 0.697760 + 1.20856i 0.0226981 + 0.0393143i
\(946\) −44.5041 + 7.32541i −1.44695 + 0.238170i
\(947\) 4.49117 7.77893i 0.145943 0.252781i −0.783781 0.621037i \(-0.786712\pi\)
0.929724 + 0.368256i \(0.120045\pi\)
\(948\) −10.7743 + 7.82800i −0.349934 + 0.254242i
\(949\) −23.4420 + 10.7001i −0.760958 + 0.347340i
\(950\) −0.642437 + 1.97722i −0.0208434 + 0.0641494i
\(951\) −16.6837 + 7.42805i −0.541005 + 0.240871i
\(952\) 10.9367 4.86935i 0.354462 0.157817i
\(953\) 39.2860 8.35050i 1.27260 0.270499i 0.478392 0.878147i \(-0.341220\pi\)
0.794207 + 0.607648i \(0.207887\pi\)
\(954\) −2.90115 8.92881i −0.0939281 0.289081i
\(955\) −11.4279 5.08802i −0.369797 0.164644i
\(956\) 2.81867 + 4.88207i 0.0911622 + 0.157898i
\(957\) −0.965436 16.5075i −0.0312081 0.533612i
\(958\) 10.3902 + 17.9963i 0.335691 + 0.581434i
\(959\) −2.07329 19.7260i −0.0669500 0.636987i
\(960\) 2.83717 + 0.603059i 0.0915693 + 0.0194637i
\(961\) 13.3948 41.2249i 0.432089 1.32983i
\(962\) −59.4076 + 0.554053i −1.91538 + 0.0178634i
\(963\) −13.9233 10.1159i −0.448671 0.325979i
\(964\) −4.65578 5.17077i −0.149953 0.166539i
\(965\) 13.1113 + 2.78688i 0.422066 + 0.0897129i
\(966\) −5.73344 2.55269i −0.184470 0.0821315i
\(967\) −11.9745 −0.385073 −0.192537 0.981290i \(-0.561671\pi\)
−0.192537 + 0.981290i \(0.561671\pi\)
\(968\) 12.3807 17.4822i 0.397932 0.561899i
\(969\) 0.953934 + 1.65226i 0.0306448 + 0.0530783i
\(970\) 8.58140 6.23475i 0.275532 0.200186i
\(971\) 22.7669 25.2852i 0.730625 0.811441i −0.257307 0.966330i \(-0.582835\pi\)
0.987932 + 0.154889i \(0.0495018\pi\)
\(972\) 0.565755 + 0.628335i 0.0181466 + 0.0201539i
\(973\) −14.8269 + 6.60136i −0.475328 + 0.211630i
\(974\) −21.9264 15.9304i −0.702566 0.510444i
\(975\) 8.33976 9.43778i 0.267086 0.302251i
\(976\) 21.1205 + 65.0023i 0.676052 + 2.08067i
\(977\) −6.04804 57.5433i −0.193494 1.84097i −0.473282 0.880911i \(-0.656931\pi\)
0.279788 0.960062i \(-0.409736\pi\)
\(978\) −4.06370 + 7.03854i −0.129943 + 0.225068i
\(979\) 3.09243 2.03499i 0.0988346 0.0650386i
\(980\) 5.92399 0.189235
\(981\) 8.60201 + 3.82986i 0.274641 + 0.122278i
\(982\) 17.7365 19.6984i 0.565996 0.628602i
\(983\) 15.1757 46.7059i 0.484029 1.48969i −0.349354 0.936991i \(-0.613599\pi\)
0.833382 0.552697i \(-0.186401\pi\)
\(984\) −1.56148 + 14.8565i −0.0497782 + 0.473608i
\(985\) 0.448520 0.199694i 0.0142910 0.00636279i
\(986\) 30.4305 + 33.7965i 0.969105 + 1.07630i
\(987\) −0.159320 0.490337i −0.00507121 0.0156076i
\(988\) 1.04995 0.233429i 0.0334034 0.00742637i
\(989\) 26.3839 0.838958
\(990\) −6.77661 + 1.11544i −0.215375 + 0.0354509i
\(991\) −24.7515 + 42.8708i −0.786256 + 1.36184i 0.141990 + 0.989868i \(0.454650\pi\)
−0.928246 + 0.371967i \(0.878683\pi\)
\(992\) −35.4395 15.7787i −1.12520 0.500973i
\(993\) 1.43994 + 4.43168i 0.0456951 + 0.140635i
\(994\) 7.50735 1.59574i 0.238119 0.0506137i
\(995\) −1.25424 + 11.9333i −0.0397620 + 0.378310i
\(996\) 5.53696 + 4.02284i 0.175445 + 0.127469i
\(997\) −23.6673 + 5.03064i −0.749551 + 0.159322i −0.566821 0.823841i \(-0.691827\pi\)
−0.182730 + 0.983163i \(0.558494\pi\)
\(998\) 21.7818 + 4.62987i 0.689492 + 0.146556i
\(999\) −1.02104 9.71457i −0.0323044 0.307355i
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 429.2.bg.b.256.4 112
11.4 even 5 inner 429.2.bg.b.334.11 yes 112
13.3 even 3 inner 429.2.bg.b.289.11 yes 112
143.81 even 15 inner 429.2.bg.b.367.4 yes 112
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
429.2.bg.b.256.4 112 1.1 even 1 trivial
429.2.bg.b.289.11 yes 112 13.3 even 3 inner
429.2.bg.b.334.11 yes 112 11.4 even 5 inner
429.2.bg.b.367.4 yes 112 143.81 even 15 inner