Properties

Label 690.2.w.b.493.2
Level $690$
Weight $2$
Character 690.493
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
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] = [690,2,Mod(7,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([0, 11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 493.2
Character \(\chi\) \(=\) 690.493
Dual form 690.2.w.b.7.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.997452 - 0.0713392i) q^{2} +(-0.212565 - 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-1.89440 + 1.18796i) q^{5} +(0.142315 + 0.989821i) q^{6} +(0.244741 + 0.448210i) q^{7} +(-0.977147 - 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 - 0.0713392i) q^{2} +(-0.212565 - 0.977147i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-1.89440 + 1.18796i) q^{5} +(0.142315 + 0.989821i) q^{6} +(0.244741 + 0.448210i) q^{7} +(-0.977147 - 0.212565i) q^{8} +(-0.909632 + 0.415415i) q^{9} +(1.97432 - 1.04979i) q^{10} +(-1.95533 - 1.69430i) q^{11} +(-0.0713392 - 0.997452i) q^{12} +(3.92447 + 2.14292i) q^{13} +(-0.212143 - 0.464528i) q^{14} +(1.56350 + 1.59859i) q^{15} +(0.959493 + 0.281733i) q^{16} +(-0.573049 + 0.765504i) q^{17} +(0.936950 - 0.349464i) q^{18} +(0.787868 - 5.47974i) q^{19} +(-2.04418 + 0.906269i) q^{20} +(0.385944 - 0.334422i) q^{21} +(1.82947 + 1.82947i) q^{22} +(-0.985708 - 4.69344i) q^{23} +1.00000i q^{24} +(2.17749 - 4.50095i) q^{25} +(-3.76159 - 2.41743i) q^{26} +(0.599278 + 0.800541i) q^{27} +(0.178463 + 0.478478i) q^{28} +(9.80565 - 1.40984i) q^{29} +(-1.44547 - 1.70605i) q^{30} +(-1.87207 + 1.20311i) q^{31} +(-0.936950 - 0.349464i) q^{32} +(-1.23994 + 2.27079i) q^{33} +(0.626199 - 0.722672i) q^{34} +(-0.996094 - 0.558345i) q^{35} +(-0.959493 + 0.281733i) q^{36} +(0.327944 - 0.879252i) q^{37} +(-1.17678 + 5.40957i) q^{38} +(1.25974 - 4.29029i) q^{39} +(2.10363 - 0.758130i) q^{40} +(3.97618 - 8.70662i) q^{41} +(-0.408818 + 0.306037i) q^{42} +(-0.920644 + 0.200274i) q^{43} +(-1.69430 - 1.95533i) q^{44} +(1.22971 - 1.86757i) q^{45} +(0.648370 + 4.75180i) q^{46} +(-5.32050 + 5.32050i) q^{47} +(0.0713392 - 0.997452i) q^{48} +(3.64349 - 5.66938i) q^{49} +(-2.49304 + 4.33414i) q^{50} +(0.869820 + 0.397233i) q^{51} +(3.57955 + 2.67962i) q^{52} +(-2.72917 + 1.49024i) q^{53} +(-0.540641 - 0.841254i) q^{54} +(5.71693 + 0.886826i) q^{55} +(-0.143874 - 0.489991i) q^{56} +(-5.52198 + 0.394940i) q^{57} +(-9.88124 + 0.706721i) q^{58} +(-3.62935 - 12.3604i) q^{59} +(1.32008 + 1.80482i) q^{60} +(-2.08617 - 3.24614i) q^{61} +(1.95313 - 1.06649i) q^{62} +(-0.408818 - 0.306037i) q^{63} +(0.909632 + 0.415415i) q^{64} +(-9.98021 + 0.602571i) q^{65} +(1.39878 - 2.17655i) q^{66} +(0.439415 - 6.14383i) q^{67} +(-0.676159 + 0.676159i) q^{68} +(-4.37665 + 1.96084i) q^{69} +(0.953724 + 0.627983i) q^{70} +(-5.17574 - 5.97313i) q^{71} +(0.977147 - 0.212565i) q^{72} +(2.38663 - 1.78661i) q^{73} +(-0.389834 + 0.853616i) q^{74} +(-4.86095 - 1.17098i) q^{75} +(1.55970 - 5.31184i) q^{76} +(0.280853 - 1.29106i) q^{77} +(-1.56260 + 4.18949i) q^{78} +(13.7008 - 4.02292i) q^{79} +(-2.15235 + 0.606127i) q^{80} +(0.654861 - 0.755750i) q^{81} +(-4.58717 + 8.40078i) q^{82} +(14.0560 + 5.24261i) q^{83} +(0.429608 - 0.276093i) q^{84} +(0.176194 - 2.13093i) q^{85} +(0.932586 - 0.134086i) q^{86} +(-3.46196 - 9.28188i) q^{87} +(1.55049 + 2.07121i) q^{88} +(1.23189 + 0.791689i) q^{89} +(-1.35981 + 1.77509i) q^{90} +2.28345i q^{91} +(-0.307729 - 4.78595i) q^{92} +(1.57355 + 1.57355i) q^{93} +(5.68650 - 4.92738i) q^{94} +(5.01719 + 11.3168i) q^{95} +(-0.142315 + 0.989821i) q^{96} +(-6.31543 + 2.35553i) q^{97} +(-4.03866 + 5.39502i) q^{98} +(2.48246 + 0.728917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{6} - 44 q^{10} + 24 q^{16} - 44 q^{21} + 96 q^{23} + 16 q^{25} + 16 q^{26} + 44 q^{28} - 16 q^{31} + 44 q^{33} + 16 q^{35} - 24 q^{36} + 44 q^{37} - 88 q^{43} + 8 q^{46} + 96 q^{47} - 24 q^{50} - 24 q^{55} + 44 q^{57} - 16 q^{58} + 88 q^{61} + 56 q^{62} - 88 q^{65} + 132 q^{67} - 56 q^{70} + 16 q^{71} + 48 q^{73} + 24 q^{81} - 24 q^{82} + 44 q^{85} - 16 q^{87} + 44 q^{88} - 124 q^{92} + 32 q^{93} + 20 q^{95} - 24 q^{96} - 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 0.0713392i −0.705305 0.0504444i
\(3\) −0.212565 0.977147i −0.122725 0.564156i
\(4\) 0.989821 + 0.142315i 0.494911 + 0.0711574i
\(5\) −1.89440 + 1.18796i −0.847201 + 0.531273i
\(6\) 0.142315 + 0.989821i 0.0580998 + 0.404093i
\(7\) 0.244741 + 0.448210i 0.0925035 + 0.169407i 0.919834 0.392308i \(-0.128323\pi\)
−0.827330 + 0.561716i \(0.810142\pi\)
\(8\) −0.977147 0.212565i −0.345474 0.0751532i
\(9\) −0.909632 + 0.415415i −0.303211 + 0.138472i
\(10\) 1.97432 1.04979i 0.624335 0.331973i
\(11\) −1.95533 1.69430i −0.589553 0.510850i 0.308217 0.951316i \(-0.400268\pi\)
−0.897769 + 0.440466i \(0.854813\pi\)
\(12\) −0.0713392 0.997452i −0.0205938 0.287940i
\(13\) 3.92447 + 2.14292i 1.08845 + 0.594339i 0.920217 0.391408i \(-0.128012\pi\)
0.168234 + 0.985747i \(0.446194\pi\)
\(14\) −0.212143 0.464528i −0.0566975 0.124150i
\(15\) 1.56350 + 1.59859i 0.403693 + 0.412753i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) −0.573049 + 0.765504i −0.138985 + 0.185662i −0.864633 0.502404i \(-0.832449\pi\)
0.725648 + 0.688066i \(0.241540\pi\)
\(18\) 0.936950 0.349464i 0.220841 0.0823695i
\(19\) 0.787868 5.47974i 0.180749 1.25714i −0.674248 0.738505i \(-0.735532\pi\)
0.854997 0.518633i \(-0.173559\pi\)
\(20\) −2.04418 + 0.906269i −0.457093 + 0.202648i
\(21\) 0.385944 0.334422i 0.0842198 0.0729769i
\(22\) 1.82947 + 1.82947i 0.390045 + 0.390045i
\(23\) −0.985708 4.69344i −0.205534 0.978650i
\(24\) 1.00000i 0.204124i
\(25\) 2.17749 4.50095i 0.435499 0.900189i
\(26\) −3.76159 2.41743i −0.737709 0.474097i
\(27\) 0.599278 + 0.800541i 0.115331 + 0.154064i
\(28\) 0.178463 + 0.478478i 0.0337264 + 0.0904239i
\(29\) 9.80565 1.40984i 1.82086 0.261801i 0.854587 0.519308i \(-0.173810\pi\)
0.966276 + 0.257507i \(0.0829011\pi\)
\(30\) −1.44547 1.70605i −0.263906 0.311481i
\(31\) −1.87207 + 1.20311i −0.336234 + 0.216084i −0.697852 0.716242i \(-0.745861\pi\)
0.361618 + 0.932326i \(0.382224\pi\)
\(32\) −0.936950 0.349464i −0.165631 0.0617771i
\(33\) −1.23994 + 2.27079i −0.215847 + 0.395294i
\(34\) 0.626199 0.722672i 0.107392 0.123937i
\(35\) −0.996094 0.558345i −0.168371 0.0943776i
\(36\) −0.959493 + 0.281733i −0.159915 + 0.0469554i
\(37\) 0.327944 0.879252i 0.0539137 0.144548i −0.907201 0.420697i \(-0.861786\pi\)
0.961115 + 0.276149i \(0.0890583\pi\)
\(38\) −1.17678 + 5.40957i −0.190899 + 0.877548i
\(39\) 1.25974 4.29029i 0.201720 0.686996i
\(40\) 2.10363 0.758130i 0.332612 0.119871i
\(41\) 3.97618 8.70662i 0.620975 1.35974i −0.293834 0.955857i \(-0.594931\pi\)
0.914808 0.403888i \(-0.132342\pi\)
\(42\) −0.408818 + 0.306037i −0.0630819 + 0.0472225i
\(43\) −0.920644 + 0.200274i −0.140397 + 0.0305415i −0.282214 0.959351i \(-0.591069\pi\)
0.141818 + 0.989893i \(0.454705\pi\)
\(44\) −1.69430 1.95533i −0.255425 0.294776i
\(45\) 1.22971 1.86757i 0.183314 0.278401i
\(46\) 0.648370 + 4.75180i 0.0955970 + 0.700615i
\(47\) −5.32050 + 5.32050i −0.776074 + 0.776074i −0.979161 0.203086i \(-0.934903\pi\)
0.203086 + 0.979161i \(0.434903\pi\)
\(48\) 0.0713392 0.997452i 0.0102969 0.143970i
\(49\) 3.64349 5.66938i 0.520499 0.809912i
\(50\) −2.49304 + 4.33414i −0.352569 + 0.612940i
\(51\) 0.869820 + 0.397233i 0.121799 + 0.0556238i
\(52\) 3.57955 + 2.67962i 0.496394 + 0.371596i
\(53\) −2.72917 + 1.49024i −0.374881 + 0.204700i −0.655633 0.755080i \(-0.727598\pi\)
0.280752 + 0.959780i \(0.409416\pi\)
\(54\) −0.540641 0.841254i −0.0735719 0.114480i
\(55\) 5.71693 + 0.886826i 0.770871 + 0.119580i
\(56\) −0.143874 0.489991i −0.0192260 0.0654777i
\(57\) −5.52198 + 0.394940i −0.731405 + 0.0523111i
\(58\) −9.88124 + 0.706721i −1.29747 + 0.0927970i
\(59\) −3.62935 12.3604i −0.472501 1.60919i −0.758987 0.651106i \(-0.774305\pi\)
0.286486 0.958084i \(-0.407513\pi\)
\(60\) 1.32008 + 1.80482i 0.170422 + 0.233002i
\(61\) −2.08617 3.24614i −0.267106 0.415625i 0.681629 0.731698i \(-0.261272\pi\)
−0.948735 + 0.316073i \(0.897636\pi\)
\(62\) 1.95313 1.06649i 0.248048 0.135444i
\(63\) −0.408818 0.306037i −0.0515062 0.0385570i
\(64\) 0.909632 + 0.415415i 0.113704 + 0.0519269i
\(65\) −9.98021 + 0.602571i −1.23789 + 0.0747397i
\(66\) 1.39878 2.17655i 0.172178 0.267914i
\(67\) 0.439415 6.14383i 0.0536831 0.750588i −0.897315 0.441391i \(-0.854485\pi\)
0.950998 0.309197i \(-0.100060\pi\)
\(68\) −0.676159 + 0.676159i −0.0819963 + 0.0819963i
\(69\) −4.37665 + 1.96084i −0.526887 + 0.236058i
\(70\) 0.953724 + 0.627983i 0.113992 + 0.0750583i
\(71\) −5.17574 5.97313i −0.614248 0.708880i 0.360356 0.932815i \(-0.382655\pi\)
−0.974604 + 0.223935i \(0.928110\pi\)
\(72\) 0.977147 0.212565i 0.115158 0.0250511i
\(73\) 2.38663 1.78661i 0.279334 0.209107i −0.450420 0.892817i \(-0.648726\pi\)
0.729754 + 0.683710i \(0.239635\pi\)
\(74\) −0.389834 + 0.853616i −0.0453172 + 0.0992309i
\(75\) −4.86095 1.17098i −0.561294 0.135214i
\(76\) 1.55970 5.31184i 0.178909 0.609310i
\(77\) 0.280853 1.29106i 0.0320062 0.147130i
\(78\) −1.56260 + 4.18949i −0.176929 + 0.474366i
\(79\) 13.7008 4.02292i 1.54146 0.452613i 0.602925 0.797798i \(-0.294002\pi\)
0.938535 + 0.345185i \(0.112184\pi\)
\(80\) −2.15235 + 0.606127i −0.240640 + 0.0677671i
\(81\) 0.654861 0.755750i 0.0727623 0.0839722i
\(82\) −4.58717 + 8.40078i −0.506568 + 0.927710i
\(83\) 14.0560 + 5.24261i 1.54284 + 0.575451i 0.969763 0.244048i \(-0.0784754\pi\)
0.573081 + 0.819499i \(0.305748\pi\)
\(84\) 0.429608 0.276093i 0.0468741 0.0301242i
\(85\) 0.176194 2.13093i 0.0191109 0.231132i
\(86\) 0.932586 0.134086i 0.100563 0.0144588i
\(87\) −3.46196 9.28188i −0.371161 0.995122i
\(88\) 1.55049 + 2.07121i 0.165283 + 0.220792i
\(89\) 1.23189 + 0.791689i 0.130580 + 0.0839189i 0.604300 0.796757i \(-0.293453\pi\)
−0.473720 + 0.880676i \(0.657089\pi\)
\(90\) −1.35981 + 1.77509i −0.143336 + 0.187110i
\(91\) 2.28345i 0.239370i
\(92\) −0.307729 4.78595i −0.0320830 0.498970i
\(93\) 1.57355 + 1.57355i 0.163169 + 0.163169i
\(94\) 5.68650 4.92738i 0.586518 0.508221i
\(95\) 5.01719 + 11.3168i 0.514752 + 1.16108i
\(96\) −0.142315 + 0.989821i −0.0145249 + 0.101023i
\(97\) −6.31543 + 2.35553i −0.641235 + 0.239168i −0.648984 0.760802i \(-0.724806\pi\)
0.00774950 + 0.999970i \(0.497533\pi\)
\(98\) −4.03866 + 5.39502i −0.407966 + 0.544979i
\(99\) 2.48246 + 0.728917i 0.249497 + 0.0732589i
\(100\) 2.79588 4.14524i 0.279588 0.414524i
\(101\) 5.92946 + 12.9837i 0.590004 + 1.29193i 0.935440 + 0.353485i \(0.115004\pi\)
−0.345436 + 0.938442i \(0.612269\pi\)
\(102\) −0.839265 0.458274i −0.0830997 0.0453758i
\(103\) 0.0631063 + 0.882342i 0.00621805 + 0.0869397i 0.999613 0.0278015i \(-0.00885064\pi\)
−0.993395 + 0.114741i \(0.963396\pi\)
\(104\) −3.37927 2.92815i −0.331365 0.287129i
\(105\) −0.333850 + 1.09201i −0.0325805 + 0.106570i
\(106\) 2.82853 1.29175i 0.274731 0.125466i
\(107\) −13.4013 2.91527i −1.29555 0.281830i −0.488631 0.872491i \(-0.662503\pi\)
−0.806920 + 0.590661i \(0.798867\pi\)
\(108\) 0.479249 + 0.877679i 0.0461158 + 0.0844547i
\(109\) 0.195647 + 1.36075i 0.0187396 + 0.130337i 0.997044 0.0768377i \(-0.0244823\pi\)
−0.978304 + 0.207174i \(0.933573\pi\)
\(110\) −5.63910 1.29241i −0.537667 0.123226i
\(111\) −0.928868 0.133551i −0.0881642 0.0126761i
\(112\) 0.108552 + 0.499006i 0.0102572 + 0.0471516i
\(113\) 18.2410 + 1.30462i 1.71597 + 0.122729i 0.894368 0.447333i \(-0.147626\pi\)
0.821602 + 0.570061i \(0.193081\pi\)
\(114\) 5.53609 0.518502
\(115\) 7.44295 + 7.72026i 0.694059 + 0.719918i
\(116\) 9.90648 0.919794
\(117\) −4.46002 0.318987i −0.412329 0.0294904i
\(118\) 2.73832 + 12.5878i 0.252083 + 1.15881i
\(119\) −0.483355 0.0694960i −0.0443091 0.00637069i
\(120\) −1.18796 1.89440i −0.108446 0.172934i
\(121\) −0.612815 4.26222i −0.0557105 0.387475i
\(122\) 1.84927 + 3.38669i 0.167425 + 0.306617i
\(123\) −9.35284 2.03459i −0.843317 0.183452i
\(124\) −2.02423 + 0.924437i −0.181782 + 0.0830169i
\(125\) 1.22192 + 11.1134i 0.109291 + 0.994010i
\(126\) 0.385944 + 0.334422i 0.0343826 + 0.0297927i
\(127\) −0.707018 9.88540i −0.0627377 0.877187i −0.927218 0.374521i \(-0.877807\pi\)
0.864481 0.502666i \(-0.167647\pi\)
\(128\) −0.877679 0.479249i −0.0775766 0.0423600i
\(129\) 0.391394 + 0.857033i 0.0344603 + 0.0754576i
\(130\) 9.99777 + 0.110945i 0.876862 + 0.00973050i
\(131\) −4.72860 1.38844i −0.413140 0.121309i 0.0685560 0.997647i \(-0.478161\pi\)
−0.481696 + 0.876338i \(0.659979\pi\)
\(132\) −1.55049 + 2.07121i −0.134953 + 0.180276i
\(133\) 2.64890 0.987988i 0.229689 0.0856694i
\(134\) −0.876591 + 6.09683i −0.0757260 + 0.526686i
\(135\) −2.08628 0.804625i −0.179559 0.0692511i
\(136\) 0.722672 0.626199i 0.0619687 0.0536961i
\(137\) −5.79056 5.79056i −0.494721 0.494721i 0.415069 0.909790i \(-0.363757\pi\)
−0.909790 + 0.415069i \(0.863757\pi\)
\(138\) 4.50539 1.64362i 0.383524 0.139914i
\(139\) 8.01319i 0.679670i 0.940485 + 0.339835i \(0.110371\pi\)
−0.940485 + 0.339835i \(0.889629\pi\)
\(140\) −0.906494 0.694421i −0.0766128 0.0586893i
\(141\) 6.32986 + 4.06795i 0.533070 + 0.342584i
\(142\) 4.73644 + 6.32714i 0.397473 + 0.530962i
\(143\) −4.04286 10.8393i −0.338081 0.906430i
\(144\) −0.989821 + 0.142315i −0.0824851 + 0.0118596i
\(145\) −16.9010 + 14.3195i −1.40355 + 1.18917i
\(146\) −2.50801 + 1.61180i −0.207564 + 0.133393i
\(147\) −6.31430 2.35511i −0.520795 0.194246i
\(148\) 0.449737 0.823631i 0.0369681 0.0677021i
\(149\) −12.3890 + 14.2977i −1.01495 + 1.17132i −0.0298115 + 0.999556i \(0.509491\pi\)
−0.985139 + 0.171760i \(0.945055\pi\)
\(150\) 4.76502 + 1.51478i 0.389063 + 0.123681i
\(151\) 1.99256 0.585069i 0.162152 0.0476122i −0.199649 0.979868i \(-0.563980\pi\)
0.361801 + 0.932255i \(0.382162\pi\)
\(152\) −1.93466 + 5.18704i −0.156922 + 0.420724i
\(153\) 0.203262 0.934380i 0.0164327 0.0755401i
\(154\) −0.372241 + 1.26774i −0.0299960 + 0.102157i
\(155\) 2.11720 4.50311i 0.170058 0.361699i
\(156\) 1.85749 4.06734i 0.148718 0.325648i
\(157\) −6.77069 + 5.06848i −0.540360 + 0.404509i −0.834296 0.551317i \(-0.814126\pi\)
0.293936 + 0.955825i \(0.405035\pi\)
\(158\) −13.9529 + 3.03526i −1.11003 + 0.241472i
\(159\) 2.03631 + 2.35003i 0.161490 + 0.186369i
\(160\) 2.19011 0.451036i 0.173143 0.0356575i
\(161\) 1.86240 1.59048i 0.146778 0.125348i
\(162\) −0.707107 + 0.707107i −0.0555556 + 0.0555556i
\(163\) −1.07253 + 14.9960i −0.0840073 + 1.17458i 0.764224 + 0.644951i \(0.223122\pi\)
−0.848232 + 0.529625i \(0.822333\pi\)
\(164\) 5.17479 8.05213i 0.404083 0.628765i
\(165\) −0.348662 5.77479i −0.0271433 0.449567i
\(166\) −13.6462 6.23199i −1.05915 0.483696i
\(167\) 15.2464 + 11.4133i 1.17980 + 0.883191i 0.995029 0.0995898i \(-0.0317531\pi\)
0.184776 + 0.982781i \(0.440844\pi\)
\(168\) −0.448210 + 0.244741i −0.0345802 + 0.0188822i
\(169\) 3.78099 + 5.88334i 0.290846 + 0.452565i
\(170\) −0.327764 + 2.11293i −0.0251383 + 0.162054i
\(171\) 1.55970 + 5.31184i 0.119273 + 0.406206i
\(172\) −0.939775 + 0.0672140i −0.0716572 + 0.00512502i
\(173\) 20.9356 1.49734i 1.59170 0.113841i 0.752846 0.658196i \(-0.228680\pi\)
0.838855 + 0.544356i \(0.183226\pi\)
\(174\) 2.79098 + 9.50520i 0.211584 + 0.720588i
\(175\) 2.55029 0.125593i 0.192784 0.00949395i
\(176\) −1.39878 2.17655i −0.105437 0.164063i
\(177\) −11.3065 + 6.17380i −0.849847 + 0.464051i
\(178\) −1.17228 0.877555i −0.0878658 0.0657755i
\(179\) −4.54563 2.07592i −0.339757 0.155162i 0.238228 0.971209i \(-0.423433\pi\)
−0.577985 + 0.816048i \(0.696161\pi\)
\(180\) 1.48297 1.67355i 0.110534 0.124739i
\(181\) −6.78877 + 10.5635i −0.504605 + 0.785181i −0.996332 0.0855684i \(-0.972729\pi\)
0.491727 + 0.870749i \(0.336366\pi\)
\(182\) 0.162899 2.27763i 0.0120749 0.168829i
\(183\) −2.72851 + 2.72851i −0.201697 + 0.201697i
\(184\) −0.0344808 + 4.79571i −0.00254196 + 0.353544i
\(185\) 0.423261 + 2.05524i 0.0311188 + 0.151104i
\(186\) −1.45728 1.68180i −0.106853 0.123315i
\(187\) 2.41749 0.525893i 0.176784 0.0384571i
\(188\) −6.02353 + 4.50916i −0.439311 + 0.328864i
\(189\) −0.212143 + 0.464528i −0.0154311 + 0.0337894i
\(190\) −4.19707 11.6459i −0.304488 0.844879i
\(191\) 3.78068 12.8758i 0.273560 0.931660i −0.702046 0.712132i \(-0.747730\pi\)
0.975606 0.219529i \(-0.0704519\pi\)
\(192\) 0.212565 0.977147i 0.0153406 0.0705195i
\(193\) −1.68287 + 4.51194i −0.121135 + 0.324776i −0.983338 0.181787i \(-0.941812\pi\)
0.862203 + 0.506564i \(0.169084\pi\)
\(194\) 6.46738 1.89899i 0.464331 0.136340i
\(195\) 2.71025 + 9.62405i 0.194085 + 0.689192i
\(196\) 4.41324 5.09315i 0.315232 0.363797i
\(197\) −6.49645 + 11.8974i −0.462853 + 0.847651i 0.537139 + 0.843494i \(0.319505\pi\)
−0.999991 + 0.00415738i \(0.998677\pi\)
\(198\) −2.42414 0.904157i −0.172276 0.0642556i
\(199\) −6.41867 + 4.12503i −0.455008 + 0.292416i −0.748000 0.663699i \(-0.768985\pi\)
0.292992 + 0.956115i \(0.405349\pi\)
\(200\) −3.08448 + 3.93523i −0.218105 + 0.278263i
\(201\) −6.09683 + 0.876591i −0.430037 + 0.0618300i
\(202\) −4.98811 13.3736i −0.350962 0.940966i
\(203\) 3.03175 + 4.04995i 0.212787 + 0.284250i
\(204\) 0.804434 + 0.516978i 0.0563217 + 0.0361957i
\(205\) 2.81066 + 21.2174i 0.196305 + 1.48188i
\(206\) 0.884596i 0.0616327i
\(207\) 2.84636 + 3.85983i 0.197835 + 0.268276i
\(208\) 3.16177 + 3.16177i 0.219229 + 0.219229i
\(209\) −10.8249 + 9.37979i −0.748771 + 0.648814i
\(210\) 0.410903 1.06542i 0.0283550 0.0735207i
\(211\) −2.24097 + 15.5863i −0.154275 + 1.07300i 0.754676 + 0.656098i \(0.227794\pi\)
−0.908950 + 0.416905i \(0.863115\pi\)
\(212\) −2.91348 + 1.08667i −0.200099 + 0.0746329i
\(213\) −4.73644 + 6.32714i −0.324535 + 0.433529i
\(214\) 13.1592 + 3.86388i 0.899542 + 0.264129i
\(215\) 1.50615 1.47309i 0.102719 0.100464i
\(216\) −0.415415 0.909632i −0.0282654 0.0618926i
\(217\) −0.997417 0.544631i −0.0677091 0.0369720i
\(218\) −0.0980733 1.37124i −0.00664236 0.0928724i
\(219\) −2.25309 1.95232i −0.152250 0.131925i
\(220\) 5.53253 + 1.69140i 0.373003 + 0.114034i
\(221\) −3.88932 + 1.77619i −0.261624 + 0.119480i
\(222\) 0.916974 + 0.199475i 0.0615432 + 0.0133879i
\(223\) −5.62381 10.2992i −0.376598 0.689687i 0.618797 0.785551i \(-0.287620\pi\)
−0.995394 + 0.0958638i \(0.969439\pi\)
\(224\) −0.0726768 0.505479i −0.00485593 0.0337737i
\(225\) −0.110956 + 4.99877i −0.00739706 + 0.333251i
\(226\) −18.1015 2.60260i −1.20409 0.173122i
\(227\) −2.91698 13.4091i −0.193607 0.889996i −0.966742 0.255754i \(-0.917676\pi\)
0.773135 0.634241i \(-0.218687\pi\)
\(228\) −5.52198 0.394940i −0.365702 0.0261555i
\(229\) 8.33186 0.550585 0.275292 0.961361i \(-0.411225\pi\)
0.275292 + 0.961361i \(0.411225\pi\)
\(230\) −6.87323 8.23157i −0.453207 0.542773i
\(231\) −1.32126 −0.0869323
\(232\) −9.88124 0.706721i −0.648735 0.0463985i
\(233\) 0.940730 + 4.32447i 0.0616293 + 0.283305i 0.997640 0.0686673i \(-0.0218747\pi\)
−0.936010 + 0.351973i \(0.885511\pi\)
\(234\) 4.42590 + 0.636349i 0.289330 + 0.0415994i
\(235\) 3.75860 16.3997i 0.245184 1.06980i
\(236\) −1.83333 12.7511i −0.119340 0.830027i
\(237\) −6.84329 12.5326i −0.444520 0.814077i
\(238\) 0.477166 + 0.103801i 0.0309301 + 0.00672842i
\(239\) 22.6919 10.3630i 1.46782 0.670330i 0.488482 0.872574i \(-0.337551\pi\)
0.979335 + 0.202244i \(0.0648234\pi\)
\(240\) 1.04979 + 1.97432i 0.0677637 + 0.127442i
\(241\) −13.2575 11.4877i −0.853990 0.739986i 0.113327 0.993558i \(-0.463849\pi\)
−0.967317 + 0.253571i \(0.918395\pi\)
\(242\) 0.307190 + 4.29508i 0.0197469 + 0.276098i
\(243\) −0.877679 0.479249i −0.0563031 0.0307438i
\(244\) −1.60296 3.50999i −0.102619 0.224704i
\(245\) −0.167213 + 15.0684i −0.0106829 + 0.962685i
\(246\) 9.18386 + 2.69663i 0.585542 + 0.171931i
\(247\) 14.8346 19.8167i 0.943903 1.26091i
\(248\) 2.08503 0.777674i 0.132399 0.0493824i
\(249\) 2.13499 14.8492i 0.135299 0.941027i
\(250\) −0.425983 11.1722i −0.0269416 0.706593i
\(251\) −14.1158 + 12.2314i −0.890979 + 0.772038i −0.974481 0.224470i \(-0.927935\pi\)
0.0835019 + 0.996508i \(0.473390\pi\)
\(252\) −0.361103 0.361103i −0.0227473 0.0227473i
\(253\) −6.02471 + 10.8473i −0.378770 + 0.681963i
\(254\) 9.91065i 0.621849i
\(255\) −2.11968 + 0.280794i −0.132740 + 0.0175840i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) 12.9691 + 17.3247i 0.808990 + 1.08068i 0.995170 + 0.0981683i \(0.0312984\pi\)
−0.186180 + 0.982516i \(0.559611\pi\)
\(258\) −0.329257 0.882771i −0.0204986 0.0549589i
\(259\) 0.474351 0.0682014i 0.0294747 0.00423783i
\(260\) −9.96438 0.823895i −0.617965 0.0510958i
\(261\) −8.33387 + 5.35585i −0.515853 + 0.331519i
\(262\) 4.61750 + 1.72224i 0.285270 + 0.106400i
\(263\) 5.49488 10.0631i 0.338829 0.620518i −0.651597 0.758565i \(-0.725901\pi\)
0.990426 + 0.138047i \(0.0440825\pi\)
\(264\) 1.69430 1.95533i 0.104277 0.120342i
\(265\) 3.39979 6.06527i 0.208848 0.372586i
\(266\) −2.71263 + 0.796500i −0.166322 + 0.0488366i
\(267\) 0.511739 1.37203i 0.0313179 0.0839666i
\(268\) 1.30930 6.01876i 0.0799783 0.367654i
\(269\) 5.98518 20.3837i 0.364923 1.24281i −0.548620 0.836072i \(-0.684847\pi\)
0.913543 0.406742i \(-0.133335\pi\)
\(270\) 2.02357 + 0.951409i 0.123150 + 0.0579009i
\(271\) 11.4494 25.0706i 0.695500 1.52293i −0.149844 0.988710i \(-0.547877\pi\)
0.845344 0.534222i \(-0.179395\pi\)
\(272\) −0.765504 + 0.573049i −0.0464155 + 0.0347462i
\(273\) 2.23126 0.485381i 0.135042 0.0293766i
\(274\) 5.36271 + 6.18890i 0.323973 + 0.373885i
\(275\) −11.8837 + 5.11149i −0.716612 + 0.308235i
\(276\) −4.61116 + 1.31802i −0.277559 + 0.0793357i
\(277\) −3.82464 + 3.82464i −0.229800 + 0.229800i −0.812609 0.582809i \(-0.801954\pi\)
0.582809 + 0.812609i \(0.301954\pi\)
\(278\) 0.571655 7.99278i 0.0342856 0.479375i
\(279\) 1.20311 1.87207i 0.0720281 0.112078i
\(280\) 0.854645 + 0.757320i 0.0510748 + 0.0452585i
\(281\) 6.86060 + 3.13313i 0.409269 + 0.186907i 0.609401 0.792862i \(-0.291410\pi\)
−0.200132 + 0.979769i \(0.564137\pi\)
\(282\) −6.02353 4.50916i −0.358696 0.268516i
\(283\) −9.58838 + 5.23565i −0.569970 + 0.311227i −0.738266 0.674509i \(-0.764355\pi\)
0.168296 + 0.985736i \(0.446173\pi\)
\(284\) −4.27300 6.64892i −0.253556 0.394541i
\(285\) 9.99166 7.30808i 0.591855 0.432893i
\(286\) 3.25929 + 11.1001i 0.192726 + 0.656364i
\(287\) 4.87553 0.348705i 0.287793 0.0205834i
\(288\) 0.997452 0.0713392i 0.0587754 0.00420370i
\(289\) 4.53184 + 15.4340i 0.266579 + 0.907885i
\(290\) 17.8795 13.0774i 1.04992 0.767929i
\(291\) 3.64414 + 5.67040i 0.213624 + 0.332405i
\(292\) 2.61660 1.42877i 0.153125 0.0836125i
\(293\) −15.9812 11.9634i −0.933630 0.698907i 0.0200281 0.999799i \(-0.493624\pi\)
−0.953658 + 0.300893i \(0.902715\pi\)
\(294\) 6.13020 + 2.79957i 0.357521 + 0.163274i
\(295\) 21.5591 + 19.1040i 1.25522 + 1.11228i
\(296\) −0.507348 + 0.789449i −0.0294890 + 0.0458858i
\(297\) 0.184573 2.58067i 0.0107100 0.149746i
\(298\) 13.3775 13.3775i 0.774936 0.774936i
\(299\) 6.18929 20.5315i 0.357936 1.18737i
\(300\) −4.64482 1.85085i −0.268169 0.106859i
\(301\) −0.315084 0.363627i −0.0181612 0.0209591i
\(302\) −2.02922 + 0.441430i −0.116769 + 0.0254015i
\(303\) 11.4266 8.55384i 0.656441 0.491405i
\(304\) 2.29977 5.03580i 0.131901 0.288823i
\(305\) 7.80832 + 3.67119i 0.447103 + 0.210212i
\(306\) −0.269402 + 0.917499i −0.0154007 + 0.0524499i
\(307\) 2.07106 9.52053i 0.118202 0.543365i −0.879517 0.475867i \(-0.842134\pi\)
0.997719 0.0674988i \(-0.0215019\pi\)
\(308\) 0.461732 1.23795i 0.0263096 0.0705388i
\(309\) 0.848763 0.249219i 0.0482845 0.0141776i
\(310\) −2.43306 + 4.34060i −0.138188 + 0.246529i
\(311\) 11.5872 13.3723i 0.657048 0.758274i −0.325244 0.945630i \(-0.605446\pi\)
0.982292 + 0.187356i \(0.0599919\pi\)
\(312\) −2.14292 + 3.92447i −0.121319 + 0.222179i
\(313\) −22.1611 8.26566i −1.25262 0.467203i −0.366395 0.930459i \(-0.619408\pi\)
−0.886224 + 0.463256i \(0.846681\pi\)
\(314\) 7.11502 4.57255i 0.401524 0.258044i
\(315\) 1.13802 + 0.0940964i 0.0641204 + 0.00530173i
\(316\) 14.1339 2.03214i 0.795092 0.114317i
\(317\) −4.63391 12.4240i −0.260266 0.697801i −0.999698 0.0245693i \(-0.992179\pi\)
0.739432 0.673231i \(-0.235094\pi\)
\(318\) −1.86348 2.48931i −0.104498 0.139594i
\(319\) −21.5619 13.8570i −1.20724 0.775844i
\(320\) −2.21670 + 0.293647i −0.123917 + 0.0164153i
\(321\) 13.7147i 0.765480i
\(322\) −1.97112 + 1.45357i −0.109846 + 0.0810042i
\(323\) 3.74327 + 3.74327i 0.208281 + 0.208281i
\(324\) 0.755750 0.654861i 0.0419861 0.0363812i
\(325\) 18.1907 12.9976i 1.00904 0.720978i
\(326\) 2.13960 14.8813i 0.118502 0.824197i
\(327\) 1.28807 0.480425i 0.0712304 0.0265676i
\(328\) −5.73603 + 7.66245i −0.316720 + 0.423088i
\(329\) −3.68685 1.08256i −0.203262 0.0596832i
\(330\) −0.0641953 + 5.78495i −0.00353383 + 0.318451i
\(331\) 2.10640 + 4.61237i 0.115778 + 0.253519i 0.958646 0.284602i \(-0.0918616\pi\)
−0.842868 + 0.538121i \(0.819134\pi\)
\(332\) 13.1668 + 7.18962i 0.722622 + 0.394582i
\(333\) 0.0669461 + 0.936029i 0.00366862 + 0.0512941i
\(334\) −14.3934 12.4719i −0.787570 0.682434i
\(335\) 6.46621 + 12.1609i 0.353287 + 0.664419i
\(336\) 0.464528 0.212143i 0.0253421 0.0115733i
\(337\) −32.6223 7.09654i −1.77705 0.386573i −0.800069 0.599907i \(-0.795204\pi\)
−0.976979 + 0.213334i \(0.931568\pi\)
\(338\) −3.35165 6.13808i −0.182306 0.333868i
\(339\) −2.60260 18.1015i −0.141354 0.983137i
\(340\) 0.477663 2.08416i 0.0259049 0.113030i
\(341\) 5.69893 + 0.819382i 0.308614 + 0.0443720i
\(342\) −1.17678 5.40957i −0.0636330 0.292516i
\(343\) 6.99841 + 0.500537i 0.377879 + 0.0270264i
\(344\) 0.942176 0.0507987
\(345\) 5.96172 8.91392i 0.320968 0.479909i
\(346\) −20.9890 −1.12838
\(347\) 30.4296 + 2.17637i 1.63355 + 0.116834i 0.857722 0.514113i \(-0.171879\pi\)
0.775826 + 0.630947i \(0.217333\pi\)
\(348\) −2.10577 9.68009i −0.112881 0.518907i
\(349\) −18.2585 2.62518i −0.977357 0.140523i −0.364917 0.931040i \(-0.618903\pi\)
−0.612440 + 0.790517i \(0.709812\pi\)
\(350\) −2.55275 0.0566626i −0.136450 0.00302874i
\(351\) 0.636349 + 4.42590i 0.0339658 + 0.236237i
\(352\) 1.23994 + 2.27079i 0.0660893 + 0.121033i
\(353\) −3.74833 0.815400i −0.199504 0.0433993i 0.111703 0.993742i \(-0.464369\pi\)
−0.311207 + 0.950342i \(0.600733\pi\)
\(354\) 11.7181 5.35148i 0.622810 0.284428i
\(355\) 16.9008 + 5.16690i 0.897000 + 0.274230i
\(356\) 1.10668 + 0.958948i 0.0586542 + 0.0508241i
\(357\) 0.0348367 + 0.487081i 0.00184376 + 0.0257791i
\(358\) 4.38596 + 2.39491i 0.231805 + 0.126575i
\(359\) −5.71286 12.5094i −0.301513 0.660222i 0.696862 0.717205i \(-0.254579\pi\)
−0.998375 + 0.0569836i \(0.981852\pi\)
\(360\) −1.59859 + 1.56350i −0.0842529 + 0.0824035i
\(361\) −11.1764 3.28170i −0.588233 0.172721i
\(362\) 7.52506 10.0523i 0.395509 0.528338i
\(363\) −4.03456 + 1.50481i −0.211759 + 0.0789821i
\(364\) −0.324968 + 2.26020i −0.0170330 + 0.118467i
\(365\) −2.39881 + 6.21978i −0.125559 + 0.325558i
\(366\) 2.91621 2.52691i 0.152432 0.132084i
\(367\) −0.954106 0.954106i −0.0498040 0.0498040i 0.681766 0.731570i \(-0.261212\pi\)
−0.731570 + 0.681766i \(0.761212\pi\)
\(368\) 0.376515 4.78103i 0.0196272 0.249228i
\(369\) 9.57158i 0.498277i
\(370\) −0.275564 2.08020i −0.0143259 0.108144i
\(371\) −1.33588 0.858520i −0.0693556 0.0445721i
\(372\) 1.33359 + 1.78147i 0.0691436 + 0.0923650i
\(373\) −6.87339 18.4283i −0.355891 0.954179i −0.984332 0.176323i \(-0.943580\pi\)
0.628442 0.777857i \(-0.283693\pi\)
\(374\) −2.44885 + 0.352091i −0.126627 + 0.0182062i
\(375\) 10.5997 3.55631i 0.547364 0.183647i
\(376\) 6.32986 4.06795i 0.326438 0.209789i
\(377\) 41.5031 + 15.4799i 2.13752 + 0.797253i
\(378\) 0.244741 0.448210i 0.0125881 0.0230534i
\(379\) −13.6774 + 15.7846i −0.702561 + 0.810798i −0.989096 0.147271i \(-0.952951\pi\)
0.286535 + 0.958070i \(0.407496\pi\)
\(380\) 3.35557 + 11.9156i 0.172137 + 0.611257i
\(381\) −9.50920 + 2.79215i −0.487171 + 0.143046i
\(382\) −4.68959 + 12.5733i −0.239940 + 0.643305i
\(383\) 3.89270 17.8945i 0.198908 0.914364i −0.764144 0.645046i \(-0.776838\pi\)
0.963051 0.269318i \(-0.0867982\pi\)
\(384\) −0.281733 + 0.959493i −0.0143771 + 0.0489639i
\(385\) 1.00168 + 2.77943i 0.0510505 + 0.141653i
\(386\) 2.00046 4.38039i 0.101821 0.222956i
\(387\) 0.754250 0.564625i 0.0383407 0.0287015i
\(388\) −6.58638 + 1.43278i −0.334373 + 0.0727383i
\(389\) 12.2630 + 14.1522i 0.621757 + 0.717545i 0.976040 0.217593i \(-0.0698205\pi\)
−0.354283 + 0.935138i \(0.615275\pi\)
\(390\) −2.01677 9.79287i −0.102123 0.495881i
\(391\) 4.15770 + 1.93501i 0.210264 + 0.0978575i
\(392\) −4.76534 + 4.76534i −0.240686 + 0.240686i
\(393\) −0.351576 + 4.91567i −0.0177347 + 0.247963i
\(394\) 7.32864 11.4036i 0.369212 0.574504i
\(395\) −21.1757 + 23.8970i −1.06546 + 1.20239i
\(396\) 2.35346 + 1.07479i 0.118266 + 0.0540102i
\(397\) −13.2784 9.94011i −0.666425 0.498880i 0.211685 0.977338i \(-0.432105\pi\)
−0.878110 + 0.478458i \(0.841196\pi\)
\(398\) 6.69660 3.65662i 0.335670 0.183290i
\(399\) −1.52847 2.37835i −0.0765194 0.119066i
\(400\) 3.35735 3.70516i 0.167868 0.185258i
\(401\) −1.06254 3.61867i −0.0530605 0.180708i 0.928699 0.370834i \(-0.120928\pi\)
−0.981760 + 0.190127i \(0.939110\pi\)
\(402\) 6.14383 0.439415i 0.306426 0.0219160i
\(403\) −9.92504 + 0.709853i −0.494401 + 0.0353603i
\(404\) 4.02133 + 13.6954i 0.200069 + 0.681372i
\(405\) −0.342766 + 2.20964i −0.0170322 + 0.109798i
\(406\) −2.73511 4.25591i −0.135741 0.211217i
\(407\) −2.13095 + 1.16359i −0.105627 + 0.0576769i
\(408\) −0.765504 0.573049i −0.0378981 0.0283701i
\(409\) 8.12539 + 3.71074i 0.401775 + 0.183484i 0.606045 0.795430i \(-0.292755\pi\)
−0.204271 + 0.978914i \(0.565482\pi\)
\(410\) −1.28987 21.3638i −0.0637023 1.05508i
\(411\) −4.42736 + 6.88910i −0.218385 + 0.339814i
\(412\) −0.0631063 + 0.882342i −0.00310903 + 0.0434699i
\(413\) 4.65182 4.65182i 0.228901 0.228901i
\(414\) −2.56375 4.05305i −0.126001 0.199196i
\(415\) −32.8556 + 6.76638i −1.61282 + 0.332148i
\(416\) −2.92815 3.37927i −0.143565 0.165682i
\(417\) 7.83007 1.70333i 0.383440 0.0834123i
\(418\) 11.4664 8.58365i 0.560841 0.419840i
\(419\) −11.2504 + 24.6350i −0.549620 + 1.20350i 0.407339 + 0.913277i \(0.366457\pi\)
−0.956959 + 0.290223i \(0.906271\pi\)
\(420\) −0.485862 + 1.03339i −0.0237076 + 0.0504242i
\(421\) 5.35924 18.2519i 0.261193 0.889543i −0.719583 0.694407i \(-0.755667\pi\)
0.980776 0.195136i \(-0.0625149\pi\)
\(422\) 3.34717 15.3867i 0.162938 0.749012i
\(423\) 2.62948 7.04991i 0.127850 0.342778i
\(424\) 2.98358 0.876057i 0.144895 0.0425451i
\(425\) 2.19768 + 4.24614i 0.106603 + 0.205968i
\(426\) 5.17574 5.97313i 0.250766 0.289399i
\(427\) 0.944381 1.72950i 0.0457018 0.0836966i
\(428\) −12.8500 4.79280i −0.621127 0.231669i
\(429\) −9.73224 + 6.25453i −0.469877 + 0.301972i
\(430\) −1.60740 + 1.36189i −0.0775157 + 0.0656761i
\(431\) −33.2619 + 4.78233i −1.60217 + 0.230357i −0.884675 0.466209i \(-0.845619\pi\)
−0.717493 + 0.696566i \(0.754710\pi\)
\(432\) 0.349464 + 0.936950i 0.0168136 + 0.0450790i
\(433\) 11.3800 + 15.2020i 0.546890 + 0.730560i 0.985791 0.167976i \(-0.0537230\pi\)
−0.438901 + 0.898535i \(0.644632\pi\)
\(434\) 0.956022 + 0.614398i 0.0458905 + 0.0294921i
\(435\) 17.5849 + 13.4709i 0.843129 + 0.645880i
\(436\) 1.37475i 0.0658385i
\(437\) −26.4954 + 1.70361i −1.26745 + 0.0814949i
\(438\) 2.10808 + 2.10808i 0.100728 + 0.100728i
\(439\) −1.66718 + 1.44462i −0.0795701 + 0.0689479i −0.693738 0.720228i \(-0.744037\pi\)
0.614168 + 0.789176i \(0.289492\pi\)
\(440\) −5.39777 2.08178i −0.257329 0.0992449i
\(441\) −0.959090 + 6.67061i −0.0456709 + 0.317648i
\(442\) 4.00613 1.49421i 0.190552 0.0710722i
\(443\) 11.5896 15.4819i 0.550637 0.735565i −0.435739 0.900073i \(-0.643513\pi\)
0.986376 + 0.164508i \(0.0526037\pi\)
\(444\) −0.900407 0.264383i −0.0427314 0.0125471i
\(445\) −3.27419 0.0363336i −0.155212 0.00172238i
\(446\) 4.87474 + 10.6742i 0.230826 + 0.505437i
\(447\) 16.6045 + 9.06672i 0.785364 + 0.428841i
\(448\) 0.0364312 + 0.509375i 0.00172121 + 0.0240657i
\(449\) −15.6185 13.5335i −0.737083 0.638686i 0.203177 0.979142i \(-0.434873\pi\)
−0.940261 + 0.340456i \(0.889419\pi\)
\(450\) 0.467281 4.97812i 0.0220278 0.234671i
\(451\) −22.5263 + 10.2874i −1.06072 + 0.484416i
\(452\) 17.8697 + 3.88731i 0.840519 + 0.182844i
\(453\) −0.995247 1.82266i −0.0467608 0.0856360i
\(454\) 1.95295 + 13.5831i 0.0916565 + 0.637485i
\(455\) −2.71265 4.32576i −0.127171 0.202795i
\(456\) 5.47974 + 0.787868i 0.256612 + 0.0368953i
\(457\) −4.44081 20.4141i −0.207732 0.954931i −0.956417 0.292004i \(-0.905678\pi\)
0.748685 0.662926i \(-0.230686\pi\)
\(458\) −8.31063 0.594388i −0.388330 0.0277739i
\(459\) −0.956233 −0.0446331
\(460\) 6.26849 + 8.70092i 0.292270 + 0.405683i
\(461\) 28.2217 1.31442 0.657209 0.753709i \(-0.271737\pi\)
0.657209 + 0.753709i \(0.271737\pi\)
\(462\) 1.31789 + 0.0942573i 0.0613138 + 0.00438525i
\(463\) −0.245614 1.12907i −0.0114147 0.0524723i 0.971087 0.238725i \(-0.0767294\pi\)
−0.982502 + 0.186252i \(0.940366\pi\)
\(464\) 9.80565 + 1.40984i 0.455216 + 0.0654502i
\(465\) −4.85024 1.11161i −0.224925 0.0515498i
\(466\) −0.629829 4.38056i −0.0291763 0.202925i
\(467\) 5.81066 + 10.6414i 0.268885 + 0.492426i 0.976879 0.213792i \(-0.0685815\pi\)
−0.707994 + 0.706218i \(0.750400\pi\)
\(468\) −4.36923 0.950467i −0.201968 0.0439354i
\(469\) 2.86127 1.30670i 0.132121 0.0603377i
\(470\) −4.91896 + 16.0898i −0.226895 + 0.742166i
\(471\) 6.39186 + 5.53858i 0.294521 + 0.255204i
\(472\) 0.919009 + 12.8494i 0.0423008 + 0.591443i
\(473\) 2.13948 + 1.16825i 0.0983735 + 0.0537160i
\(474\) 5.93179 + 12.9888i 0.272456 + 0.596596i
\(475\) −22.9484 15.4782i −1.05295 0.710190i
\(476\) −0.468545 0.137577i −0.0214757 0.00630584i
\(477\) 1.86348 2.48931i 0.0853227 0.113978i
\(478\) −23.3734 + 8.71782i −1.06907 + 0.398744i
\(479\) −4.80678 + 33.4319i −0.219627 + 1.52754i 0.519791 + 0.854294i \(0.326010\pi\)
−0.739418 + 0.673247i \(0.764899\pi\)
\(480\) −0.906269 2.04418i −0.0413653 0.0933037i
\(481\) 3.17117 2.74784i 0.144593 0.125291i
\(482\) 12.4042 + 12.4042i 0.564995 + 0.564995i
\(483\) −1.95002 1.48176i −0.0887289 0.0674224i
\(484\) 4.30605i 0.195730i
\(485\) 9.16566 11.9648i 0.416191 0.543294i
\(486\) 0.841254 + 0.540641i 0.0381600 + 0.0245240i
\(487\) −1.98095 2.64624i −0.0897655 0.119913i 0.753410 0.657551i \(-0.228408\pi\)
−0.843176 + 0.537638i \(0.819317\pi\)
\(488\) 1.34847 + 3.61540i 0.0610426 + 0.163662i
\(489\) 14.8813 2.13960i 0.672954 0.0967562i
\(490\) 1.24175 15.0181i 0.0560968 0.678448i
\(491\) −6.96785 + 4.47796i −0.314455 + 0.202088i −0.688342 0.725387i \(-0.741661\pi\)
0.373887 + 0.927474i \(0.378025\pi\)
\(492\) −8.96809 3.34492i −0.404313 0.150801i
\(493\) −4.53988 + 8.31417i −0.204466 + 0.374451i
\(494\) −16.2105 + 18.7079i −0.729346 + 0.841710i
\(495\) −5.56870 + 1.56821i −0.250295 + 0.0704859i
\(496\) −2.13519 + 0.626949i −0.0958730 + 0.0281508i
\(497\) 1.41050 3.78169i 0.0632695 0.169632i
\(498\) −3.18887 + 14.6590i −0.142897 + 0.656886i
\(499\) 0.967518 3.29506i 0.0433121 0.147507i −0.934998 0.354653i \(-0.884599\pi\)
0.978310 + 0.207145i \(0.0664173\pi\)
\(500\) −0.372119 + 11.1741i −0.0166417 + 0.499723i
\(501\) 7.91165 17.3241i 0.353466 0.773983i
\(502\) 14.9524 11.1932i 0.667357 0.499577i
\(503\) 5.31757 1.15677i 0.237099 0.0515776i −0.0924458 0.995718i \(-0.529468\pi\)
0.329544 + 0.944140i \(0.393105\pi\)
\(504\) 0.334422 + 0.385944i 0.0148963 + 0.0171913i
\(505\) −26.6569 17.5523i −1.18622 0.781069i
\(506\) 6.78320 10.3899i 0.301550 0.461885i
\(507\) 4.94518 4.94518i 0.219623 0.219623i
\(508\) 0.707018 9.88540i 0.0313688 0.438594i
\(509\) 8.98107 13.9748i 0.398079 0.619423i −0.583128 0.812380i \(-0.698172\pi\)
0.981207 + 0.192957i \(0.0618079\pi\)
\(510\) 2.13431 0.128863i 0.0945090 0.00570613i
\(511\) 1.38488 + 0.632455i 0.0612636 + 0.0279782i
\(512\) −0.800541 0.599278i −0.0353793 0.0264846i
\(513\) 4.85891 2.65316i 0.214526 0.117140i
\(514\) −11.7001 18.2057i −0.516070 0.803021i
\(515\) −1.16774 1.59654i −0.0514566 0.0703519i
\(516\) 0.265442 + 0.904011i 0.0116854 + 0.0397969i
\(517\) 19.4178 1.38879i 0.853995 0.0610789i
\(518\) −0.478008 + 0.0341878i −0.0210025 + 0.00150213i
\(519\) −5.91329 20.1388i −0.259565 0.883997i
\(520\) 9.88022 + 1.53265i 0.433276 + 0.0672110i
\(521\) −0.510724 0.794703i −0.0223752 0.0348166i 0.829886 0.557933i \(-0.188406\pi\)
−0.852261 + 0.523117i \(0.824769\pi\)
\(522\) 8.69471 4.74767i 0.380557 0.207800i
\(523\) 12.0923 + 9.05216i 0.528758 + 0.395823i 0.830033 0.557714i \(-0.188321\pi\)
−0.301275 + 0.953537i \(0.597412\pi\)
\(524\) −4.48287 2.04726i −0.195835 0.0894350i
\(525\) −0.664827 2.46531i −0.0290154 0.107595i
\(526\) −6.19877 + 9.64547i −0.270279 + 0.420563i
\(527\) 0.151805 2.12252i 0.00661274 0.0924582i
\(528\) −1.82947 + 1.82947i −0.0796176 + 0.0796176i
\(529\) −21.0568 + 9.25272i −0.915511 + 0.402292i
\(530\) −3.82382 + 5.80727i −0.166096 + 0.252252i
\(531\) 8.43608 + 9.73575i 0.366095 + 0.422496i
\(532\) 2.76254 0.600954i 0.119771 0.0260547i
\(533\) 34.2620 25.6482i 1.48405 1.11095i
\(534\) −0.608315 + 1.33202i −0.0263243 + 0.0576423i
\(535\) 28.8506 10.3975i 1.24732 0.449524i
\(536\) −1.73534 + 5.91002i −0.0749552 + 0.255274i
\(537\) −1.06224 + 4.88302i −0.0458389 + 0.210718i
\(538\) −7.42408 + 19.9047i −0.320075 + 0.858154i
\(539\) −16.7298 + 4.91233i −0.720605 + 0.211589i
\(540\) −1.95054 1.09334i −0.0839378 0.0470500i
\(541\) −20.9339 + 24.1590i −0.900019 + 1.03868i 0.0990304 + 0.995084i \(0.468426\pi\)
−0.999049 + 0.0435928i \(0.986120\pi\)
\(542\) −13.2087 + 24.1900i −0.567363 + 1.03905i
\(543\) 11.7652 + 4.38818i 0.504892 + 0.188315i
\(544\) 0.804434 0.516978i 0.0344898 0.0221653i
\(545\) −1.98716 2.34539i −0.0851205 0.100465i
\(546\) −2.26020 + 0.324968i −0.0967278 + 0.0139074i
\(547\) −4.36522 11.7036i −0.186643 0.500410i 0.809603 0.586978i \(-0.199683\pi\)
−0.996246 + 0.0865682i \(0.972410\pi\)
\(548\) −4.90754 6.55570i −0.209640 0.280046i
\(549\) 3.24614 + 2.08617i 0.138542 + 0.0890354i
\(550\) 12.2180 4.25070i 0.520979 0.181250i
\(551\) 54.8432i 2.33640i
\(552\) 4.69344 0.985708i 0.199766 0.0419545i
\(553\) 5.15626 + 5.15626i 0.219266 + 0.219266i
\(554\) 4.08774 3.54205i 0.173671 0.150487i
\(555\) 1.91830 0.850461i 0.0814273 0.0361000i
\(556\) −1.14040 + 7.93163i −0.0483636 + 0.336376i
\(557\) −7.66305 + 2.85817i −0.324694 + 0.121105i −0.506525 0.862225i \(-0.669070\pi\)
0.181831 + 0.983330i \(0.441798\pi\)
\(558\) −1.33359 + 1.78147i −0.0564555 + 0.0754157i
\(559\) −4.04221 1.18690i −0.170967 0.0502005i
\(560\) −0.798441 0.816360i −0.0337403 0.0344975i
\(561\) −1.02775 2.25046i −0.0433916 0.0950143i
\(562\) −6.61961 3.61458i −0.279231 0.152472i
\(563\) −1.37028 19.1590i −0.0577504 0.807456i −0.940969 0.338494i \(-0.890083\pi\)
0.883218 0.468962i \(-0.155372\pi\)
\(564\) 5.68650 + 4.92738i 0.239445 + 0.207480i
\(565\) −36.1056 + 19.1982i −1.51897 + 0.807672i
\(566\) 9.93746 4.53829i 0.417703 0.190758i
\(567\) 0.499006 + 0.108552i 0.0209563 + 0.00455876i
\(568\) 3.78778 + 6.93681i 0.158932 + 0.291062i
\(569\) −2.41925 16.8262i −0.101420 0.705392i −0.975562 0.219722i \(-0.929485\pi\)
0.874142 0.485670i \(-0.161424\pi\)
\(570\) −10.4876 + 6.57666i −0.439275 + 0.275466i
\(571\) 17.6978 + 2.54456i 0.740629 + 0.106486i 0.502294 0.864697i \(-0.332489\pi\)
0.238335 + 0.971183i \(0.423398\pi\)
\(572\) −2.45911 11.3044i −0.102821 0.472659i
\(573\) −13.3852 0.957328i −0.559174 0.0399929i
\(574\) −4.88798 −0.204020
\(575\) −23.2713 5.78331i −0.970480 0.241181i
\(576\) −1.00000 −0.0416667
\(577\) −29.5159 2.11102i −1.22876 0.0878829i −0.558182 0.829719i \(-0.688501\pi\)
−0.670581 + 0.741836i \(0.733955\pi\)
\(578\) −3.41924 15.7180i −0.142222 0.653783i
\(579\) 4.76654 + 0.685326i 0.198091 + 0.0284812i
\(580\) −18.7668 + 11.7685i −0.779250 + 0.488662i
\(581\) 1.09029 + 7.58311i 0.0452327 + 0.314601i
\(582\) −3.23034 5.91592i −0.133902 0.245223i
\(583\) 7.86134 + 1.71013i 0.325583 + 0.0708263i
\(584\) −2.71186 + 1.23846i −0.112218 + 0.0512480i
\(585\) 8.82800 4.69405i 0.364993 0.194075i
\(586\) 15.0870 + 13.0730i 0.623238 + 0.540039i
\(587\) 3.36319 + 47.0236i 0.138814 + 1.94087i 0.299985 + 0.953944i \(0.403018\pi\)
−0.161171 + 0.986927i \(0.551527\pi\)
\(588\) −5.91486 3.22976i −0.243925 0.133193i
\(589\) 5.11777 + 11.2063i 0.210874 + 0.461749i
\(590\) −20.1413 20.5934i −0.829206 0.847816i
\(591\) 13.0064 + 3.81902i 0.535011 + 0.157093i
\(592\) 0.562374 0.751244i 0.0231134 0.0308759i
\(593\) −40.6406 + 15.1582i −1.66891 + 0.622471i −0.993381 0.114863i \(-0.963357\pi\)
−0.675528 + 0.737334i \(0.736084\pi\)
\(594\) −0.368206 + 2.56093i −0.0151077 + 0.105076i
\(595\) 0.998226 0.442554i 0.0409233 0.0181430i
\(596\) −14.2977 + 12.3890i −0.585658 + 0.507475i
\(597\) 5.39515 + 5.39515i 0.220809 + 0.220809i
\(598\) −7.63822 + 20.0377i −0.312350 + 0.819402i
\(599\) 16.3972i 0.669972i 0.942223 + 0.334986i \(0.108732\pi\)
−0.942223 + 0.334986i \(0.891268\pi\)
\(600\) 4.50095 + 2.17749i 0.183750 + 0.0888958i
\(601\) 33.4782 + 21.5151i 1.36560 + 0.877620i 0.998615 0.0526062i \(-0.0167528\pi\)
0.366988 + 0.930226i \(0.380389\pi\)
\(602\) 0.288341 + 0.385178i 0.0117519 + 0.0156987i
\(603\) 2.15253 + 5.77116i 0.0876579 + 0.235020i
\(604\) 2.05554 0.295542i 0.0836389 0.0120255i
\(605\) 6.22428 + 7.34635i 0.253053 + 0.298672i
\(606\) −12.0077 + 7.71688i −0.487780 + 0.313477i
\(607\) 28.4723 + 10.6196i 1.15566 + 0.431037i 0.852922 0.522038i \(-0.174828\pi\)
0.302734 + 0.953075i \(0.402101\pi\)
\(608\) −2.65316 + 4.85891i −0.107600 + 0.197055i
\(609\) 3.31295 3.82334i 0.134247 0.154930i
\(610\) −7.52653 4.21888i −0.304740 0.170817i
\(611\) −32.2815 + 9.47871i −1.30597 + 0.383468i
\(612\) 0.334169 0.895942i 0.0135080 0.0362163i
\(613\) −10.3132 + 47.4088i −0.416545 + 1.91483i −0.0128825 + 0.999917i \(0.504101\pi\)
−0.403662 + 0.914908i \(0.632263\pi\)
\(614\) −2.74497 + 9.34853i −0.110778 + 0.377276i
\(615\) 20.1350 7.25650i 0.811922 0.292610i
\(616\) −0.548870 + 1.20186i −0.0221146 + 0.0484242i
\(617\) 2.91434 2.18165i 0.117327 0.0878298i −0.539003 0.842304i \(-0.681199\pi\)
0.656330 + 0.754474i \(0.272108\pi\)
\(618\) −0.864380 + 0.188034i −0.0347705 + 0.00756385i
\(619\) 10.2446 + 11.8229i 0.411764 + 0.475201i 0.923310 0.384055i \(-0.125473\pi\)
−0.511546 + 0.859256i \(0.670927\pi\)
\(620\) 2.73651 4.15597i 0.109901 0.166908i
\(621\) 3.16658 3.60177i 0.127070 0.144534i
\(622\) −12.5116 + 12.5116i −0.501670 + 0.501670i
\(623\) −0.0533482 + 0.745906i −0.00213735 + 0.0298841i
\(624\) 2.41743 3.76159i 0.0967746 0.150584i
\(625\) −15.5171 19.6016i −0.620682 0.784062i
\(626\) 21.5150 + 9.82556i 0.859911 + 0.392708i
\(627\) 11.4664 + 8.58365i 0.457925 + 0.342798i
\(628\) −7.42310 + 4.05332i −0.296214 + 0.161745i
\(629\) 0.485143 + 0.754897i 0.0193439 + 0.0300997i
\(630\) −1.12841 0.175042i −0.0449570 0.00697385i
\(631\) 0.929400 + 3.16524i 0.0369988 + 0.126006i 0.975922 0.218121i \(-0.0699929\pi\)
−0.938923 + 0.344128i \(0.888175\pi\)
\(632\) −14.2428 + 1.01867i −0.566549 + 0.0405204i
\(633\) 15.7064 1.12335i 0.624274 0.0446490i
\(634\) 3.73578 + 12.7229i 0.148367 + 0.505291i
\(635\) 13.0829 + 17.8870i 0.519177 + 0.709823i
\(636\) 1.68114 + 2.61591i 0.0666616 + 0.103727i
\(637\) 26.4478 14.4416i 1.04790 0.572197i
\(638\) 20.5184 + 15.3599i 0.812333 + 0.608105i
\(639\) 7.18935 + 3.28327i 0.284406 + 0.129884i
\(640\) 2.23200 0.134761i 0.0882277 0.00532688i
\(641\) 13.2639 20.6390i 0.523892 0.815192i −0.473970 0.880541i \(-0.657180\pi\)
0.997862 + 0.0653486i \(0.0208160\pi\)
\(642\) 0.978396 13.6798i 0.0386142 0.539897i
\(643\) 5.25766 5.25766i 0.207342 0.207342i −0.595795 0.803137i \(-0.703163\pi\)
0.803137 + 0.595795i \(0.203163\pi\)
\(644\) 2.06980 1.30925i 0.0815614 0.0515915i
\(645\) −1.75958 1.15860i −0.0692833 0.0456199i
\(646\) −3.46669 4.00078i −0.136395 0.157409i
\(647\) 1.81166 0.394103i 0.0712237 0.0154938i −0.176812 0.984245i \(-0.556579\pi\)
0.248036 + 0.968751i \(0.420215\pi\)
\(648\) −0.800541 + 0.599278i −0.0314482 + 0.0235419i
\(649\) −13.8457 + 30.3179i −0.543491 + 1.19008i
\(650\) −19.0716 + 11.6668i −0.748048 + 0.457609i
\(651\) −0.320168 + 1.09039i −0.0125484 + 0.0427359i
\(652\) −3.19577 + 14.6907i −0.125156 + 0.575332i
\(653\) −10.4772 + 28.0904i −0.410004 + 1.09926i 0.553799 + 0.832650i \(0.313177\pi\)
−0.963804 + 0.266613i \(0.914095\pi\)
\(654\) −1.31906 + 0.387311i −0.0515793 + 0.0151451i
\(655\) 10.6073 2.98713i 0.414460 0.116717i
\(656\) 6.26805 7.23372i 0.244726 0.282429i
\(657\) −1.42877 + 2.61660i −0.0557417 + 0.102083i
\(658\) 3.60022 + 1.34281i 0.140351 + 0.0523483i
\(659\) −33.1899 + 21.3299i −1.29290 + 0.830893i −0.992420 0.122896i \(-0.960782\pi\)
−0.300476 + 0.953789i \(0.597145\pi\)
\(660\) 0.476725 5.76563i 0.0185565 0.224427i
\(661\) 36.6470 5.26905i 1.42540 0.204942i 0.613944 0.789350i \(-0.289582\pi\)
0.811460 + 0.584407i \(0.198673\pi\)
\(662\) −1.77199 4.75089i −0.0688703 0.184648i
\(663\) 2.56234 + 3.42288i 0.0995130 + 0.132934i
\(664\) −12.6204 8.11061i −0.489765 0.314753i
\(665\) −3.84438 + 5.01843i −0.149079 + 0.194606i
\(666\) 0.938420i 0.0363630i
\(667\) −16.2825 44.6325i −0.630461 1.72818i
\(668\) 13.4670 + 13.4670i 0.521052 + 0.521052i
\(669\) −8.86843 + 7.68454i −0.342873 + 0.297102i
\(670\) −5.58218 12.5912i −0.215659 0.486440i
\(671\) −1.42080 + 9.88185i −0.0548492 + 0.381485i
\(672\) −0.478478 + 0.178463i −0.0184577 + 0.00688437i
\(673\) 21.6966 28.9832i 0.836341 1.11722i −0.155259 0.987874i \(-0.549621\pi\)
0.991599 0.129347i \(-0.0412880\pi\)
\(674\) 32.0329 + 9.40571i 1.23386 + 0.362294i
\(675\) 4.90812 0.954145i 0.188913 0.0367250i
\(676\) 2.90522 + 6.36155i 0.111739 + 0.244675i
\(677\) 35.6255 + 19.4530i 1.36920 + 0.747639i 0.984497 0.175402i \(-0.0561225\pi\)
0.384702 + 0.923041i \(0.374304\pi\)
\(678\) 1.30462 + 18.2410i 0.0501037 + 0.700542i
\(679\) −2.60142 2.25414i −0.0998333 0.0865061i
\(680\) −0.625129 + 2.04478i −0.0239726 + 0.0784137i
\(681\) −12.4826 + 5.70063i −0.478336 + 0.218449i
\(682\) −5.62595 1.22385i −0.215429 0.0468637i
\(683\) −4.53598 8.30703i −0.173565 0.317860i 0.776387 0.630256i \(-0.217050\pi\)
−0.949952 + 0.312396i \(0.898868\pi\)
\(684\) 0.787868 + 5.47974i 0.0301249 + 0.209523i
\(685\) 17.8486 + 4.09066i 0.681960 + 0.156296i
\(686\) −6.94488 0.998522i −0.265157 0.0381238i
\(687\) −1.77106 8.14145i −0.0675703 0.310616i
\(688\) −0.939775 0.0672140i −0.0358286 0.00256251i
\(689\) −13.9040 −0.529701
\(690\) −6.58244 + 8.46590i −0.250589 + 0.322291i
\(691\) −19.2792 −0.733417 −0.366708 0.930336i \(-0.619515\pi\)
−0.366708 + 0.930336i \(0.619515\pi\)
\(692\) 20.9356 + 1.49734i 0.795851 + 0.0569204i
\(693\) 0.280853 + 1.29106i 0.0106687 + 0.0490434i
\(694\) −30.1968 4.34165i −1.14626 0.164807i
\(695\) −9.51937 15.1802i −0.361090 0.575817i
\(696\) 1.40984 + 9.80565i 0.0534398 + 0.371682i
\(697\) 4.38640 + 8.03310i 0.166147 + 0.304275i
\(698\) 18.0247 + 3.92104i 0.682246 + 0.148414i
\(699\) 4.02567 1.83846i 0.152265 0.0695371i
\(700\) 2.54221 + 0.238630i 0.0960864 + 0.00901935i
\(701\) −18.4328 15.9721i −0.696196 0.603257i 0.233161 0.972438i \(-0.425093\pi\)
−0.929358 + 0.369181i \(0.879638\pi\)
\(702\) −0.318987 4.46002i −0.0120394 0.168333i
\(703\) −4.55969 2.48978i −0.171972 0.0939039i
\(704\) −1.07479 2.35346i −0.0405076 0.0886994i
\(705\) −16.8239 0.186694i −0.633623 0.00703129i
\(706\) 3.68061 + 1.08072i 0.138522 + 0.0406736i
\(707\) −4.36825 + 5.83529i −0.164285 + 0.219459i
\(708\) −12.0700 + 4.50188i −0.453619 + 0.169191i
\(709\) −4.57919 + 31.8490i −0.171975 + 1.19611i 0.702730 + 0.711457i \(0.251964\pi\)
−0.874705 + 0.484656i \(0.838945\pi\)
\(710\) −16.4891 6.35942i −0.618825 0.238665i
\(711\) −10.7915 + 9.35089i −0.404713 + 0.350686i
\(712\) −1.03545 1.03545i −0.0388053 0.0388053i
\(713\) 7.49202 + 7.60054i 0.280578 + 0.284642i
\(714\) 0.488326i 0.0182751i
\(715\) 20.5355 + 15.7312i 0.767984 + 0.588315i
\(716\) −4.20393 2.70170i −0.157108 0.100967i
\(717\) −14.9497 19.9705i −0.558308 0.745812i
\(718\) 4.80589 + 12.8851i 0.179354 + 0.480867i
\(719\) −30.0763 + 4.32432i −1.12166 + 0.161270i −0.678095 0.734974i \(-0.737194\pi\)
−0.443562 + 0.896244i \(0.646285\pi\)
\(720\) 1.70605 1.44547i 0.0635808 0.0538695i
\(721\) −0.380030 + 0.244230i −0.0141530 + 0.00909561i
\(722\) 10.9138 + 4.07065i 0.406171 + 0.151494i
\(723\) −8.40707 + 15.3964i −0.312662 + 0.572598i
\(724\) −8.22301 + 9.48986i −0.305606 + 0.352688i
\(725\) 15.0061 47.2046i 0.557313 1.75314i
\(726\) 4.13163 1.21316i 0.153339 0.0450244i
\(727\) −12.5990 + 33.7793i −0.467272 + 1.25280i 0.463139 + 0.886286i \(0.346723\pi\)
−0.930411 + 0.366519i \(0.880550\pi\)
\(728\) 0.485381 2.23126i 0.0179894 0.0826961i
\(729\) −0.281733 + 0.959493i −0.0104345 + 0.0355368i
\(730\) 2.83641 6.03280i 0.104980 0.223284i
\(731\) 0.374264 0.819523i 0.0138426 0.0303112i
\(732\) −3.08904 + 2.31243i −0.114174 + 0.0854698i
\(733\) 49.3396 10.7332i 1.82240 0.396439i 0.834433 0.551109i \(-0.185795\pi\)
0.987966 + 0.154670i \(0.0494316\pi\)
\(734\) 0.883610 + 1.01974i 0.0326147 + 0.0376393i
\(735\) 14.7596 3.03963i 0.544416 0.112118i
\(736\) −0.716630 + 4.74199i −0.0264153 + 0.174792i
\(737\) −11.2687 + 11.2687i −0.415087 + 0.415087i
\(738\) 0.682829 9.54719i 0.0251353 0.351437i
\(739\) 11.0980 17.2688i 0.408246 0.635243i −0.574866 0.818247i \(-0.694946\pi\)
0.983112 + 0.183004i \(0.0585822\pi\)
\(740\) 0.126462 + 2.09456i 0.00464884 + 0.0769974i
\(741\) −22.5172 10.2832i −0.827188 0.377764i
\(742\) 1.27123 + 0.951633i 0.0466684 + 0.0349355i
\(743\) 2.11168 1.15307i 0.0774702 0.0423019i −0.440047 0.897975i \(-0.645038\pi\)
0.517517 + 0.855673i \(0.326856\pi\)
\(744\) −1.20311 1.87207i −0.0441080 0.0686334i
\(745\) 6.48464 41.8033i 0.237579 1.53155i
\(746\) 5.54122 + 18.8717i 0.202878 + 0.690940i
\(747\) −14.9636 + 1.07022i −0.547490 + 0.0391573i
\(748\) 2.46773 0.176495i 0.0902290 0.00645330i
\(749\) −1.97319 6.72007i −0.0720988 0.245546i
\(750\) −10.8264 + 2.79107i −0.395322 + 0.101916i
\(751\) −17.9335 27.9051i −0.654404 1.01827i −0.996894 0.0787511i \(-0.974907\pi\)
0.342490 0.939521i \(-0.388730\pi\)
\(752\) −6.60394 + 3.60602i −0.240821 + 0.131498i
\(753\) 14.9524 + 11.1932i 0.544895 + 0.407903i
\(754\) −40.2931 18.4012i −1.46739 0.670133i
\(755\) −3.07966 + 3.47544i −0.112080 + 0.126484i
\(756\) −0.276093 + 0.429608i −0.0100414 + 0.0156247i
\(757\) −0.000540604 0.00755862i −1.96486e−5 0.000274723i −0.997462 0.0712018i \(-0.977317\pi\)
0.997442 + 0.0714765i \(0.0227711\pi\)
\(758\) 14.7686 14.7686i 0.536420 0.536420i
\(759\) 11.8800 + 3.58127i 0.431218 + 0.129992i
\(760\) −2.49698 12.1246i −0.0905748 0.439806i
\(761\) 23.5684 + 27.1994i 0.854354 + 0.985977i 0.999994 0.00336050i \(-0.00106968\pi\)
−0.145640 + 0.989338i \(0.546524\pi\)
\(762\) 9.68416 2.10666i 0.350820 0.0763162i
\(763\) −0.562021 + 0.420724i −0.0203465 + 0.0152312i
\(764\) 5.57461 12.2067i 0.201682 0.441623i
\(765\) 0.724949 + 2.01156i 0.0262106 + 0.0727279i
\(766\) −5.15936 + 17.5712i −0.186415 + 0.634872i
\(767\) 12.2442 56.2855i 0.442111 2.03235i
\(768\) 0.349464 0.936950i 0.0126102 0.0338093i
\(769\) 50.4681 14.8188i 1.81993 0.534379i 0.820616 0.571480i \(-0.193630\pi\)
0.999312 + 0.0371009i \(0.0118123\pi\)
\(770\) −0.800850 2.84381i −0.0288606 0.102484i
\(771\) 14.1720 16.3553i 0.510391 0.589023i
\(772\) −2.30785 + 4.22652i −0.0830614 + 0.152116i
\(773\) −4.13131 1.54090i −0.148593 0.0554223i 0.274067 0.961711i \(-0.411631\pi\)
−0.422660 + 0.906288i \(0.638904\pi\)
\(774\) −0.792609 + 0.509379i −0.0284897 + 0.0183092i
\(775\) 1.33870 + 11.0458i 0.0480875 + 0.396778i
\(776\) 6.67181 0.959261i 0.239504 0.0344355i
\(777\) −0.167473 0.449013i −0.00600807 0.0161083i
\(778\) −11.2221 14.9910i −0.402332 0.537453i
\(779\) −44.5773 28.6481i −1.59715 1.02642i
\(780\) 1.31302 + 9.91180i 0.0470135 + 0.354899i
\(781\) 20.4487i 0.731711i
\(782\) −4.00907 2.22668i −0.143364 0.0796261i
\(783\) 7.00494 + 7.00494i 0.250336 + 0.250336i
\(784\) 5.09315 4.41324i 0.181898 0.157616i
\(785\) 6.80523 17.6450i 0.242889 0.629779i
\(786\) 0.701360 4.87807i 0.0250167 0.173995i
\(787\) 9.77781 3.64693i 0.348541 0.129999i −0.169095 0.985600i \(-0.554085\pi\)
0.517637 + 0.855601i \(0.326812\pi\)
\(788\) −8.12349 + 10.8517i −0.289387 + 0.386576i
\(789\) −11.0012 3.23023i −0.391652 0.114999i
\(790\) 22.8265 22.3255i 0.812131 0.794305i
\(791\) 3.87958 + 8.49510i 0.137942 + 0.302051i
\(792\) −2.27079 1.23994i −0.0806890 0.0440595i
\(793\) −1.23087 17.2098i −0.0437096 0.611140i
\(794\) 12.5355 + 10.8621i 0.444868 + 0.385480i
\(795\) −6.64933 2.03283i −0.235828 0.0720971i
\(796\) −6.94039 + 3.16957i −0.245996 + 0.112342i
\(797\) 28.8432 + 6.27446i 1.02168 + 0.222253i 0.692044 0.721855i \(-0.256710\pi\)
0.329636 + 0.944108i \(0.393074\pi\)
\(798\) 1.35491 + 2.48133i 0.0479633 + 0.0878381i
\(799\) −1.02396 7.12177i −0.0362249 0.251950i
\(800\) −3.61312 + 3.45621i −0.127743 + 0.122195i
\(801\) −1.44945 0.208399i −0.0512138 0.00736343i
\(802\) 0.801676 + 3.68525i 0.0283082 + 0.130131i
\(803\) −7.69369 0.550264i −0.271504 0.0194184i
\(804\) −6.15952 −0.217230
\(805\) −1.63870 + 5.22547i −0.0577567 + 0.184174i
\(806\) 9.95039 0.350487
\(807\) −21.1901 1.51554i −0.745926 0.0533496i
\(808\) −3.03407 13.9474i −0.106738 0.490667i
\(809\) −16.5923 2.38561i −0.583354 0.0838736i −0.155681 0.987807i \(-0.549757\pi\)
−0.427672 + 0.903934i \(0.640666\pi\)
\(810\) 0.499526 2.17956i 0.0175516 0.0765819i
\(811\) 6.25692 + 43.5179i 0.219710 + 1.52812i 0.739109 + 0.673586i \(0.235247\pi\)
−0.519398 + 0.854532i \(0.673844\pi\)
\(812\) 2.42452 + 4.44019i 0.0850841 + 0.155820i
\(813\) −26.9314 5.85857i −0.944526 0.205469i
\(814\) 2.20853 1.00860i 0.0774090 0.0353515i
\(815\) −15.7829 29.6825i −0.552849 1.03973i
\(816\) 0.722672 + 0.626199i 0.0252986 + 0.0219214i
\(817\) 0.372103 + 5.20268i 0.0130182 + 0.182019i
\(818\) −7.83997 4.28095i −0.274118 0.149680i
\(819\) −0.948578 2.07710i −0.0331460 0.0725796i
\(820\) −0.237490 + 21.4014i −0.00829352 + 0.747369i
\(821\) 21.1582 + 6.21259i 0.738425 + 0.216821i 0.629252 0.777202i \(-0.283362\pi\)
0.109173 + 0.994023i \(0.465180\pi\)
\(822\) 4.90754 6.55570i 0.171170 0.228656i
\(823\) −17.9552 + 6.69693i −0.625878 + 0.233440i −0.642335 0.766424i \(-0.722034\pi\)
0.0164569 + 0.999865i \(0.494761\pi\)
\(824\) 0.125891 0.875592i 0.00438562 0.0305027i
\(825\) 7.52073 + 10.5256i 0.261838 + 0.366453i
\(826\) −4.97182 + 4.30811i −0.172992 + 0.149898i
\(827\) 1.54670 + 1.54670i 0.0537839 + 0.0537839i 0.733487 0.679703i \(-0.237891\pi\)
−0.679703 + 0.733487i \(0.737891\pi\)
\(828\) 2.26807 + 4.22562i 0.0788211 + 0.146850i
\(829\) 28.5874i 0.992881i −0.868071 0.496441i \(-0.834640\pi\)
0.868071 0.496441i \(-0.165360\pi\)
\(830\) 33.2546 4.40524i 1.15429 0.152908i
\(831\) 4.55022 + 2.92425i 0.157845 + 0.101441i
\(832\) 2.67962 + 3.57955i 0.0928991 + 0.124099i
\(833\) 2.25204 + 6.03794i 0.0780284 + 0.209202i
\(834\) −7.93163 + 1.14040i −0.274650 + 0.0394887i
\(835\) −42.4414 3.50923i −1.46875 0.121442i
\(836\) −12.0496 + 7.74378i −0.416743 + 0.267824i
\(837\) −2.08503 0.777674i −0.0720690 0.0268804i
\(838\) 12.9792 23.7697i 0.448359 0.821109i
\(839\) 2.17785 2.51338i 0.0751879 0.0867714i −0.716909 0.697166i \(-0.754444\pi\)
0.792097 + 0.610395i \(0.208989\pi\)
\(840\) 0.558345 0.996094i 0.0192647 0.0343685i
\(841\) 66.3378 19.4785i 2.28751 0.671674i
\(842\) −6.64766 + 17.8231i −0.229094 + 0.614223i
\(843\) 1.60320 7.36981i 0.0552173 0.253830i
\(844\) −4.43631 + 15.1087i −0.152704 + 0.520063i
\(845\) −14.1519 6.65372i −0.486840 0.228895i
\(846\) −3.12572 + 6.84436i −0.107464 + 0.235314i
\(847\) 1.76039 1.31781i 0.0604877 0.0452805i
\(848\) −3.03847 + 0.660979i −0.104342 + 0.0226981i
\(849\) 7.15416 + 8.25634i 0.245530 + 0.283357i
\(850\) −1.88917 4.39210i −0.0647979 0.150648i
\(851\) −4.44997 0.672500i −0.152543 0.0230530i
\(852\) −5.58868 + 5.58868i −0.191465 + 0.191465i
\(853\) 1.32567 18.5353i 0.0453900 0.634635i −0.922937 0.384951i \(-0.874218\pi\)
0.968327 0.249685i \(-0.0803270\pi\)
\(854\) −1.06536 + 1.65773i −0.0364557 + 0.0567262i
\(855\) −9.26495 8.20988i −0.316855 0.280772i
\(856\) 12.4753 + 5.69729i 0.426398 + 0.194729i
\(857\) −4.51030 3.37637i −0.154069 0.115334i 0.519462 0.854493i \(-0.326132\pi\)
−0.673531 + 0.739159i \(0.735223\pi\)
\(858\) 10.1536 5.54431i 0.346639 0.189279i
\(859\) 15.0256 + 23.3804i 0.512669 + 0.797728i 0.997020 0.0771458i \(-0.0245807\pi\)
−0.484351 + 0.874874i \(0.660944\pi\)
\(860\) 1.70046 1.24375i 0.0579852 0.0424114i
\(861\) −1.37710 4.68998i −0.0469316 0.159834i
\(862\) 33.5183 2.39727i 1.14164 0.0816515i
\(863\) 11.1692 0.798835i 0.380203 0.0271926i 0.120070 0.992765i \(-0.461688\pi\)
0.260133 + 0.965573i \(0.416234\pi\)
\(864\) −0.281733 0.959493i −0.00958474 0.0326426i
\(865\) −37.8815 + 27.7072i −1.28801 + 0.942073i
\(866\) −10.2666 15.9751i −0.348872 0.542855i
\(867\) 14.1180 7.70902i 0.479473 0.261812i
\(868\) −0.909756 0.681035i −0.0308791 0.0231158i
\(869\) −33.6055 15.3471i −1.13999 0.520616i
\(870\) −16.5790 14.6911i −0.562082 0.498074i
\(871\) 14.8902 23.1696i 0.504535 0.785072i
\(872\) 0.0980733 1.37124i 0.00332118 0.0464362i
\(873\) 4.76619 4.76619i 0.161311 0.161311i
\(874\) 26.5495 + 0.190889i 0.898049 + 0.00645691i
\(875\) −4.68207 + 3.26757i −0.158283 + 0.110464i
\(876\) −1.95232 2.25309i −0.0659627 0.0761250i
\(877\) −26.1367 + 5.68570i −0.882575 + 0.191992i −0.630942 0.775830i \(-0.717331\pi\)
−0.251633 + 0.967823i \(0.580968\pi\)
\(878\) 1.76599 1.32200i 0.0595993 0.0446154i
\(879\) −8.29291 + 18.1589i −0.279713 + 0.612486i
\(880\) 5.23551 + 2.46155i 0.176489 + 0.0829788i
\(881\) −11.5338 + 39.2805i −0.388584 + 1.32339i 0.500534 + 0.865717i \(0.333137\pi\)
−0.889118 + 0.457678i \(0.848681\pi\)
\(882\) 1.43252 6.58520i 0.0482355 0.221735i
\(883\) 15.2454 40.8744i 0.513047 1.37553i −0.379757 0.925086i \(-0.623992\pi\)
0.892804 0.450446i \(-0.148735\pi\)
\(884\) −4.10252 + 1.20461i −0.137983 + 0.0405153i
\(885\) 14.0847 25.1273i 0.473453 0.844645i
\(886\) −12.6645 + 14.6156i −0.425472 + 0.491021i
\(887\) −20.6306 + 37.7820i −0.692706 + 1.26860i 0.260265 + 0.965537i \(0.416190\pi\)
−0.952972 + 0.303060i \(0.901992\pi\)
\(888\) 0.879252 + 0.327944i 0.0295058 + 0.0110051i
\(889\) 4.25770 2.73626i 0.142799 0.0917711i
\(890\) 3.26326 + 0.269819i 0.109385 + 0.00904436i
\(891\) −2.56093 + 0.368206i −0.0857944 + 0.0123354i
\(892\) −4.10083 10.9947i −0.137306 0.368131i
\(893\) 24.9631 + 33.3468i 0.835358 + 1.11591i
\(894\) −15.9153 10.2282i −0.532289 0.342081i
\(895\) 11.0774 1.46742i 0.370275 0.0490504i
\(896\) 0.510677i 0.0170605i
\(897\) −21.3780 1.68355i −0.713789 0.0562122i
\(898\) 14.6132 + 14.6132i 0.487650 + 0.487650i
\(899\) −16.6607 + 14.4366i −0.555665 + 0.481486i
\(900\) −0.821225 + 4.93210i −0.0273742 + 0.164403i
\(901\) 0.423165 2.94317i 0.0140977 0.0980513i
\(902\) 23.2028 8.65421i 0.772570 0.288154i
\(903\) −0.288341 + 0.385178i −0.00959537 + 0.0128179i
\(904\) −17.5468 5.15221i −0.583599 0.171360i
\(905\) 0.311562 28.0763i 0.0103567 0.933289i
\(906\) 0.862684 + 1.88902i 0.0286608 + 0.0627583i
\(907\) 31.5744 + 17.2409i 1.04841 + 0.572475i 0.908585 0.417701i \(-0.137164\pi\)
0.139826 + 0.990176i \(0.455346\pi\)
\(908\) −0.978969 13.6878i −0.0324882 0.454245i
\(909\) −10.7873 9.34721i −0.357791 0.310027i
\(910\) 2.39714 + 4.50825i 0.0794644 + 0.149447i
\(911\) 52.5698 24.0078i 1.74171 0.795414i 0.750863 0.660458i \(-0.229638\pi\)
0.990852 0.134957i \(-0.0430895\pi\)
\(912\) −5.40957 1.17678i −0.179129 0.0389671i
\(913\) −18.6015 34.0660i −0.615619 1.12742i
\(914\) 2.97317 + 20.6789i 0.0983438 + 0.683996i
\(915\) 1.92752 8.41024i 0.0637218 0.278034i
\(916\) 8.24705 + 1.18575i 0.272490 + 0.0391782i
\(917\) −0.534970 2.45922i −0.0176663 0.0812105i
\(918\) 0.953796 + 0.0682169i 0.0314800 + 0.00225149i
\(919\) 11.3200 0.373414 0.186707 0.982416i \(-0.440218\pi\)
0.186707 + 0.982416i \(0.440218\pi\)
\(920\) −5.63180 9.12594i −0.185675 0.300873i
\(921\) −9.74319 −0.321049
\(922\) −28.1498 2.01332i −0.927065 0.0663050i
\(923\) −7.51210 34.5325i −0.247264 1.13665i
\(924\) −1.30781 0.188034i −0.0430237 0.00618588i
\(925\) −3.24337 3.39062i −0.106641 0.111483i
\(926\) 0.164441 + 1.14372i 0.00540388 + 0.0375848i
\(927\) −0.423942 0.776391i −0.0139241 0.0255000i
\(928\) −9.68009 2.10577i −0.317765 0.0691254i
\(929\) 34.4455 15.7307i 1.13012 0.516108i 0.239518 0.970892i \(-0.423011\pi\)
0.890602 + 0.454784i \(0.150283\pi\)
\(930\) 4.75859 + 1.45479i 0.156040 + 0.0477045i
\(931\) −28.1962 24.4321i −0.924092 0.800730i
\(932\) 0.315719 + 4.41433i 0.0103417 + 0.144596i
\(933\) −15.5297 8.47987i −0.508421 0.277619i
\(934\) −5.03670 11.0288i −0.164806 0.360875i
\(935\) −3.95495 + 3.86814i −0.129341 + 0.126502i
\(936\) 4.29029 + 1.25974i 0.140233 + 0.0411760i
\(937\) 25.7877 34.4483i 0.842448 1.12538i −0.148203 0.988957i \(-0.547349\pi\)
0.990651 0.136421i \(-0.0435601\pi\)
\(938\) −2.94720 + 1.09925i −0.0962294 + 0.0358917i
\(939\) −3.36609 + 23.4116i −0.109848 + 0.764010i
\(940\) 6.05426 15.6979i 0.197468 0.512008i
\(941\) −7.23763 + 6.27144i −0.235940 + 0.204443i −0.764803 0.644264i \(-0.777164\pi\)
0.528863 + 0.848707i \(0.322618\pi\)
\(942\) −5.98046 5.98046i −0.194854 0.194854i
\(943\) −44.7833 10.0798i −1.45835 0.328243i
\(944\) 12.8822i 0.419281i
\(945\) −0.149958 1.13202i −0.00487815 0.0368246i
\(946\) −2.05069 1.31790i −0.0666737 0.0428486i
\(947\) 1.18543 + 1.58355i 0.0385214 + 0.0514585i 0.819388 0.573239i \(-0.194313\pi\)
−0.780867 + 0.624697i \(0.785222\pi\)
\(948\) −4.99007 13.3789i −0.162070 0.434526i
\(949\) 13.1948 1.89713i 0.428322 0.0615834i
\(950\) 21.7858 + 17.0759i 0.706824 + 0.554016i
\(951\) −11.1551 + 7.16892i −0.361727 + 0.232468i
\(952\) 0.457537 + 0.170652i 0.0148288 + 0.00553087i
\(953\) 7.03334 12.8806i 0.227832 0.417244i −0.738608 0.674135i \(-0.764517\pi\)
0.966440 + 0.256892i \(0.0826983\pi\)
\(954\) −2.03631 + 2.35003i −0.0659281 + 0.0760850i
\(955\) 8.13385 + 28.8832i 0.263205 + 0.934639i
\(956\) 23.9358 7.02817i 0.774138 0.227307i
\(957\) −8.95702 + 24.0147i −0.289539 + 0.776285i
\(958\) 7.17953 33.0038i 0.231960 1.06630i
\(959\) 1.17820 4.01258i 0.0380460 0.129573i
\(960\) 0.758130 + 2.10363i 0.0244685 + 0.0678942i
\(961\) −10.8207 + 23.6940i −0.349054 + 0.764322i
\(962\) −3.35912 + 2.51461i −0.108302 + 0.0810742i
\(963\) 13.4013 2.91527i 0.431850 0.0939432i
\(964\) −11.4877 13.2575i −0.369993 0.426995i
\(965\) −2.17199 10.5466i −0.0699189 0.339507i
\(966\) 1.83934 + 1.61710i 0.0591798 + 0.0520293i
\(967\) −33.4598 + 33.4598i −1.07600 + 1.07600i −0.0791316 + 0.996864i \(0.525215\pi\)
−0.996864 + 0.0791316i \(0.974785\pi\)
\(968\) −0.307190 + 4.29508i −0.00987347 + 0.138049i
\(969\) 2.86204 4.45342i 0.0919419 0.143064i
\(970\) −9.99587 + 11.2805i −0.320948 + 0.362194i
\(971\) 27.7171 + 12.6580i 0.889485 + 0.406214i 0.807119 0.590388i \(-0.201025\pi\)
0.0823651 + 0.996602i \(0.473753\pi\)
\(972\) −0.800541 0.599278i −0.0256774 0.0192218i
\(973\) −3.59159 + 1.96116i −0.115141 + 0.0628718i
\(974\) 1.78712 + 2.78082i 0.0572632 + 0.0891032i
\(975\) −16.5673 15.0121i −0.530578 0.480772i
\(976\) −1.08712 3.70239i −0.0347978 0.118511i
\(977\) −10.2979 + 0.736519i −0.329458 + 0.0235633i −0.235089 0.971974i \(-0.575538\pi\)
−0.0943696 + 0.995537i \(0.530084\pi\)
\(978\) −14.9960 + 1.07253i −0.479519 + 0.0342958i
\(979\) −1.06739 3.63521i −0.0341140 0.116182i
\(980\) −2.30997 + 14.8912i −0.0737892 + 0.475683i
\(981\) −0.743244 1.15651i −0.0237300 0.0369246i
\(982\) 7.26955 3.96947i 0.231981 0.126671i
\(983\) −17.1433 12.8333i −0.546787 0.409320i 0.289854 0.957071i \(-0.406393\pi\)
−0.836641 + 0.547751i \(0.815484\pi\)
\(984\) 8.70662 + 3.97618i 0.277557 + 0.126756i
\(985\) −1.82674 30.2559i −0.0582049 0.964032i
\(986\) 5.12144 7.96911i 0.163100 0.253788i
\(987\) −0.274120 + 3.83270i −0.00872535 + 0.121996i
\(988\) 17.5038 17.5038i 0.556871 0.556871i
\(989\) 1.84746 + 4.12358i 0.0587458 + 0.131122i
\(990\) 5.66639 1.16695i 0.180090 0.0370881i
\(991\) 5.14416 + 5.93667i 0.163410 + 0.188585i 0.831549 0.555451i \(-0.187455\pi\)
−0.668139 + 0.744036i \(0.732909\pi\)
\(992\) 2.17448 0.473029i 0.0690397 0.0150187i
\(993\) 4.05922 3.03869i 0.128815 0.0964299i
\(994\) −1.67669 + 3.67143i −0.0531813 + 0.116451i
\(995\) 7.25915 15.4396i 0.230130 0.489468i
\(996\) 4.22651 14.3942i 0.133922 0.456097i
\(997\) −0.692017 + 3.18115i −0.0219164 + 0.100748i −0.986806 0.161909i \(-0.948235\pi\)
0.964889 + 0.262657i \(0.0845987\pi\)
\(998\) −1.20012 + 3.21765i −0.0379891 + 0.101853i
\(999\) 0.900407 0.264383i 0.0284876 0.00836472i
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 690.2.w.b.493.2 yes 240
5.2 odd 4 inner 690.2.w.b.217.8 yes 240
23.7 odd 22 inner 690.2.w.b.283.8 yes 240
115.7 even 44 inner 690.2.w.b.7.2 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.w.b.7.2 240 115.7 even 44 inner
690.2.w.b.217.8 yes 240 5.2 odd 4 inner
690.2.w.b.283.8 yes 240 23.7 odd 22 inner
690.2.w.b.493.2 yes 240 1.1 even 1 trivial