Properties

Label 162.2.g.b.25.4
Level $162$
Weight $2$
Character 162.25
Analytic conductor $1.294$
Analytic rank $0$
Dimension $90$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(90\)
Relative dimension: \(5\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 25.4
Character \(\chi\) \(=\) 162.25
Dual form 162.2.g.b.13.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.893633 - 0.448799i) q^{2} +(1.02523 + 1.39603i) q^{3} +(0.597159 - 0.802123i) q^{4} +(0.664151 - 2.21842i) q^{5} +(1.54272 + 0.787412i) q^{6} +(-0.590051 + 1.36789i) q^{7} +(0.173648 - 0.984808i) q^{8} +(-0.897788 + 2.86251i) q^{9} +(-0.402118 - 2.28052i) q^{10} +(-4.28069 - 1.01454i) q^{11} +(1.73201 + 0.0112858i) q^{12} +(0.407438 - 0.267976i) q^{13} +(0.0866199 + 1.48721i) q^{14} +(3.77789 - 1.34723i) q^{15} +(-0.286803 - 0.957990i) q^{16} +(6.18123 + 2.24978i) q^{17} +(0.482400 + 2.96096i) q^{18} +(-6.76026 + 2.46053i) q^{19} +(-1.38284 - 1.85748i) q^{20} +(-2.51456 + 0.578682i) q^{21} +(-4.28069 + 1.01454i) q^{22} +(-1.15348 - 2.67407i) q^{23} +(1.55285 - 0.767241i) q^{24} +(-0.302850 - 0.199188i) q^{25} +(0.243833 - 0.422330i) q^{26} +(-4.91659 + 1.68141i) q^{27} +(0.744864 + 1.29014i) q^{28} +(0.382974 - 6.57542i) q^{29} +(2.77141 - 2.89944i) q^{30} +(-1.78001 - 0.208053i) q^{31} +(-0.686242 - 0.727374i) q^{32} +(-2.97238 - 7.01611i) q^{33} +(6.53345 - 0.763651i) q^{34} +(2.64267 + 2.21747i) q^{35} +(1.75997 + 2.42951i) q^{36} +(-3.51174 + 2.94670i) q^{37} +(-4.93690 + 5.23281i) q^{38} +(0.791822 + 0.294057i) q^{39} +(-2.06939 - 1.03929i) q^{40} +(-7.03828 - 3.53476i) q^{41} +(-1.98738 + 1.64566i) q^{42} +(-0.304424 + 0.322671i) q^{43} +(-3.37004 + 2.82780i) q^{44} +(5.75399 + 3.89281i) q^{45} +(-2.23091 - 1.87195i) q^{46} +(7.76840 - 0.907996i) q^{47} +(1.04334 - 1.38255i) q^{48} +(3.28072 + 3.47736i) q^{49} +(-0.360032 - 0.0420817i) q^{50} +(3.19645 + 10.9357i) q^{51} +(0.0283552 - 0.486840i) q^{52} +(0.984340 + 1.70493i) q^{53} +(-3.63901 + 3.70912i) q^{54} +(-5.09371 + 8.82256i) q^{55} +(1.24465 + 0.818618i) q^{56} +(-10.3658 - 6.91489i) q^{57} +(-2.60880 - 6.04789i) q^{58} +(12.3643 - 2.93038i) q^{59} +(1.17536 - 3.83484i) q^{60} +(4.60541 + 6.18613i) q^{61} +(-1.68405 + 0.612943i) q^{62} +(-3.38587 - 2.91710i) q^{63} +(-0.939693 - 0.342020i) q^{64} +(-0.323883 - 1.08185i) q^{65} +(-5.80504 - 4.93582i) q^{66} +(-0.221954 - 3.81081i) q^{67} +(5.49578 - 3.61463i) q^{68} +(2.55049 - 4.35184i) q^{69} +(3.35678 + 0.795571i) q^{70} +(1.34489 + 7.62726i) q^{71} +(2.66312 + 1.38122i) q^{72} +(1.74940 - 9.92135i) q^{73} +(-1.81573 + 4.20933i) q^{74} +(-0.0324209 - 0.627002i) q^{75} +(-2.06330 + 6.89189i) q^{76} +(3.91361 - 5.25689i) q^{77} +(0.839570 - 0.0925906i) q^{78} +(15.0035 - 7.53506i) q^{79} -2.31570 q^{80} +(-7.38795 - 5.13986i) q^{81} -7.87604 q^{82} +(-4.65331 + 2.33698i) q^{83} +(-1.03741 + 2.36255i) q^{84} +(9.09624 - 12.2184i) q^{85} +(-0.127229 + 0.424975i) q^{86} +(9.57211 - 6.20670i) q^{87} +(-1.74246 + 4.03949i) q^{88} +(-0.537926 + 3.05073i) q^{89} +(6.88904 + 0.896360i) q^{90} +(0.126153 + 0.715451i) q^{91} +(-2.83374 - 0.671609i) q^{92} +(-1.53448 - 2.69824i) q^{93} +(6.53459 - 4.29787i) q^{94} +(0.968660 + 16.6313i) q^{95} +(0.311875 - 1.70374i) q^{96} +(0.403864 + 1.34900i) q^{97} +(4.49240 + 1.63510i) q^{98} +(6.74730 - 11.3427i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 90 q - 9 q^{6} - 18 q^{13} - 9 q^{18} - 9 q^{20} - 54 q^{21} + 27 q^{23} - 18 q^{25} - 27 q^{26} - 27 q^{27} - 18 q^{28} - 27 q^{29} + 9 q^{30} + 54 q^{31} - 63 q^{33} - 27 q^{35} - 9 q^{36} - 18 q^{38}+ \cdots - 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.893633 0.448799i 0.631894 0.317349i
\(3\) 1.02523 + 1.39603i 0.591919 + 0.805997i
\(4\) 0.597159 0.802123i 0.298579 0.401062i
\(5\) 0.664151 2.21842i 0.297017 0.992107i −0.671049 0.741413i \(-0.734156\pi\)
0.968066 0.250694i \(-0.0806589\pi\)
\(6\) 1.54272 + 0.787412i 0.629812 + 0.321460i
\(7\) −0.590051 + 1.36789i −0.223018 + 0.517014i −0.992585 0.121552i \(-0.961213\pi\)
0.769567 + 0.638566i \(0.220472\pi\)
\(8\) 0.173648 0.984808i 0.0613939 0.348182i
\(9\) −0.897788 + 2.86251i −0.299263 + 0.954171i
\(10\) −0.402118 2.28052i −0.127161 0.721165i
\(11\) −4.28069 1.01454i −1.29068 0.305896i −0.472739 0.881202i \(-0.656735\pi\)
−0.817938 + 0.575306i \(0.804883\pi\)
\(12\) 1.73201 + 0.0112858i 0.499989 + 0.00325792i
\(13\) 0.407438 0.267976i 0.113003 0.0743233i −0.491749 0.870737i \(-0.663642\pi\)
0.604752 + 0.796413i \(0.293272\pi\)
\(14\) 0.0866199 + 1.48721i 0.0231502 + 0.397473i
\(15\) 3.77789 1.34723i 0.975446 0.347852i
\(16\) −0.286803 0.957990i −0.0717008 0.239497i
\(17\) 6.18123 + 2.24978i 1.49917 + 0.545653i 0.955845 0.293871i \(-0.0949435\pi\)
0.543323 + 0.839524i \(0.317166\pi\)
\(18\) 0.482400 + 2.96096i 0.113703 + 0.697905i
\(19\) −6.76026 + 2.46053i −1.55091 + 0.564485i −0.968631 0.248504i \(-0.920061\pi\)
−0.582279 + 0.812989i \(0.697839\pi\)
\(20\) −1.38284 1.85748i −0.309213 0.415345i
\(21\) −2.51456 + 0.578682i −0.548721 + 0.126279i
\(22\) −4.28069 + 1.01454i −0.912647 + 0.216301i
\(23\) −1.15348 2.67407i −0.240517 0.557582i 0.754611 0.656173i \(-0.227826\pi\)
−0.995128 + 0.0985910i \(0.968566\pi\)
\(24\) 1.55285 0.767241i 0.316974 0.156612i
\(25\) −0.302850 0.199188i −0.0605701 0.0398376i
\(26\) 0.243833 0.422330i 0.0478195 0.0828258i
\(27\) −4.91659 + 1.68141i −0.946198 + 0.323587i
\(28\) 0.744864 + 1.29014i 0.140766 + 0.243814i
\(29\) 0.382974 6.57542i 0.0711166 1.22102i −0.754311 0.656517i \(-0.772029\pi\)
0.825428 0.564508i \(-0.190934\pi\)
\(30\) 2.77141 2.89944i 0.505988 0.529363i
\(31\) −1.78001 0.208053i −0.319699 0.0373674i −0.0452698 0.998975i \(-0.514415\pi\)
−0.274429 + 0.961607i \(0.588489\pi\)
\(32\) −0.686242 0.727374i −0.121312 0.128583i
\(33\) −2.97238 7.01611i −0.517425 1.22135i
\(34\) 6.53345 0.763651i 1.12048 0.130965i
\(35\) 2.64267 + 2.21747i 0.446694 + 0.374820i
\(36\) 1.75997 + 2.42951i 0.293328 + 0.404918i
\(37\) −3.51174 + 2.94670i −0.577326 + 0.484434i −0.884068 0.467359i \(-0.845206\pi\)
0.306742 + 0.951793i \(0.400761\pi\)
\(38\) −4.93690 + 5.23281i −0.800871 + 0.848874i
\(39\) 0.791822 + 0.294057i 0.126793 + 0.0470867i
\(40\) −2.06939 1.03929i −0.327199 0.164326i
\(41\) −7.03828 3.53476i −1.09920 0.552037i −0.195713 0.980661i \(-0.562702\pi\)
−0.903483 + 0.428625i \(0.858998\pi\)
\(42\) −1.98738 + 1.64566i −0.306659 + 0.253931i
\(43\) −0.304424 + 0.322671i −0.0464243 + 0.0492069i −0.750170 0.661246i \(-0.770028\pi\)
0.703745 + 0.710452i \(0.251510\pi\)
\(44\) −3.37004 + 2.82780i −0.508053 + 0.426307i
\(45\) 5.75399 + 3.89281i 0.857754 + 0.580306i
\(46\) −2.23091 1.87195i −0.328929 0.276004i
\(47\) 7.76840 0.907996i 1.13314 0.132445i 0.471216 0.882018i \(-0.343815\pi\)
0.661922 + 0.749573i \(0.269741\pi\)
\(48\) 1.04334 1.38255i 0.150593 0.199554i
\(49\) 3.28072 + 3.47736i 0.468675 + 0.496766i
\(50\) −0.360032 0.0420817i −0.0509162 0.00595126i
\(51\) 3.19645 + 10.9357i 0.447592 + 1.53131i
\(52\) 0.0283552 0.486840i 0.00393216 0.0675126i
\(53\) 0.984340 + 1.70493i 0.135209 + 0.234190i 0.925677 0.378314i \(-0.123496\pi\)
−0.790468 + 0.612503i \(0.790163\pi\)
\(54\) −3.63901 + 3.70912i −0.495207 + 0.504748i
\(55\) −5.09371 + 8.82256i −0.686836 + 1.18963i
\(56\) 1.24465 + 0.818618i 0.166323 + 0.109392i
\(57\) −10.3658 6.91489i −1.37299 0.915899i
\(58\) −2.60880 6.04789i −0.342553 0.794126i
\(59\) 12.3643 2.93038i 1.60969 0.381503i 0.675240 0.737598i \(-0.264040\pi\)
0.934450 + 0.356095i \(0.115892\pi\)
\(60\) 1.17536 3.83484i 0.151738 0.495076i
\(61\) 4.60541 + 6.18613i 0.589662 + 0.792053i 0.992373 0.123274i \(-0.0393394\pi\)
−0.402711 + 0.915327i \(0.631932\pi\)
\(62\) −1.68405 + 0.612943i −0.213874 + 0.0778439i
\(63\) −3.38587 2.91710i −0.426579 0.367521i
\(64\) −0.939693 0.342020i −0.117462 0.0427525i
\(65\) −0.323883 1.08185i −0.0401728 0.134186i
\(66\) −5.80504 4.93582i −0.714551 0.607558i
\(67\) −0.221954 3.81081i −0.0271160 0.465564i −0.984347 0.176240i \(-0.943606\pi\)
0.957231 0.289324i \(-0.0934305\pi\)
\(68\) 5.49578 3.61463i 0.666461 0.438338i
\(69\) 2.55049 4.35184i 0.307042 0.523900i
\(70\) 3.35678 + 0.795571i 0.401212 + 0.0950889i
\(71\) 1.34489 + 7.62726i 0.159609 + 0.905189i 0.954450 + 0.298371i \(0.0964433\pi\)
−0.794841 + 0.606818i \(0.792446\pi\)
\(72\) 2.66312 + 1.38122i 0.313852 + 0.162778i
\(73\) 1.74940 9.92135i 0.204752 1.16121i −0.693078 0.720863i \(-0.743746\pi\)
0.897830 0.440343i \(-0.145143\pi\)
\(74\) −1.81573 + 4.20933i −0.211074 + 0.489325i
\(75\) −0.0324209 0.627002i −0.00374364 0.0723999i
\(76\) −2.06330 + 6.89189i −0.236676 + 0.790554i
\(77\) 3.91361 5.25689i 0.445997 0.599078i
\(78\) 0.839570 0.0925906i 0.0950626 0.0104838i
\(79\) 15.0035 7.53506i 1.68803 0.847761i 0.696550 0.717509i \(-0.254718\pi\)
0.991481 0.130252i \(-0.0415787\pi\)
\(80\) −2.31570 −0.258904
\(81\) −7.38795 5.13986i −0.820884 0.571096i
\(82\) −7.87604 −0.869763
\(83\) −4.65331 + 2.33698i −0.510767 + 0.256517i −0.685465 0.728105i \(-0.740401\pi\)
0.174698 + 0.984622i \(0.444105\pi\)
\(84\) −1.03741 + 2.36255i −0.113191 + 0.257775i
\(85\) 9.09624 12.2184i 0.986625 1.32527i
\(86\) −0.127229 + 0.424975i −0.0137195 + 0.0458262i
\(87\) 9.57211 6.20670i 1.02624 0.665428i
\(88\) −1.74246 + 4.03949i −0.185747 + 0.430611i
\(89\) −0.537926 + 3.05073i −0.0570200 + 0.323377i −0.999954 0.00960343i \(-0.996943\pi\)
0.942934 + 0.332980i \(0.108054\pi\)
\(90\) 6.88904 + 0.896360i 0.726169 + 0.0944847i
\(91\) 0.126153 + 0.715451i 0.0132245 + 0.0749996i
\(92\) −2.83374 0.671609i −0.295438 0.0700201i
\(93\) −1.53448 2.69824i −0.159118 0.279795i
\(94\) 6.53459 4.29787i 0.673991 0.443291i
\(95\) 0.968660 + 16.6313i 0.0993825 + 1.70633i
\(96\) 0.311875 1.70374i 0.0318306 0.173887i
\(97\) 0.403864 + 1.34900i 0.0410062 + 0.136970i 0.976042 0.217584i \(-0.0698177\pi\)
−0.935035 + 0.354555i \(0.884633\pi\)
\(98\) 4.49240 + 1.63510i 0.453801 + 0.165170i
\(99\) 6.74730 11.3427i 0.678129 1.13998i
\(100\) −0.340623 + 0.123977i −0.0340623 + 0.0123977i
\(101\) −6.00167 8.06164i −0.597188 0.802163i 0.396053 0.918228i \(-0.370380\pi\)
−0.993242 + 0.116064i \(0.962972\pi\)
\(102\) 7.76440 + 8.33796i 0.768790 + 0.825581i
\(103\) −1.63242 + 0.386890i −0.160847 + 0.0381214i −0.310250 0.950655i \(-0.600413\pi\)
0.149403 + 0.988776i \(0.452265\pi\)
\(104\) −0.193154 0.447782i −0.0189403 0.0439086i
\(105\) −0.386285 + 5.96267i −0.0376976 + 0.581897i
\(106\) 1.64481 + 1.08181i 0.159758 + 0.105074i
\(107\) −6.16214 + 10.6731i −0.595717 + 1.03181i 0.397728 + 0.917503i \(0.369799\pi\)
−0.993445 + 0.114309i \(0.963535\pi\)
\(108\) −1.58729 + 4.94778i −0.152737 + 0.476100i
\(109\) 9.54562 + 16.5335i 0.914305 + 1.58362i 0.807916 + 0.589298i \(0.200595\pi\)
0.106389 + 0.994325i \(0.466071\pi\)
\(110\) −0.592346 + 10.1702i −0.0564779 + 0.969689i
\(111\) −7.71403 1.88143i −0.732183 0.178577i
\(112\) 1.47965 + 0.172947i 0.139814 + 0.0163419i
\(113\) −5.52918 5.86059i −0.520142 0.551318i 0.413045 0.910711i \(-0.364465\pi\)
−0.933186 + 0.359393i \(0.882984\pi\)
\(114\) −12.3666 1.52720i −1.15824 0.143035i
\(115\) −6.69829 + 0.782918i −0.624619 + 0.0730075i
\(116\) −5.04560 4.23376i −0.468472 0.393095i
\(117\) 0.401292 + 1.40688i 0.0370995 + 0.130066i
\(118\) 9.73395 8.16776i 0.896083 0.751903i
\(119\) −6.72470 + 7.12777i −0.616452 + 0.653401i
\(120\) −0.670736 3.95444i −0.0612295 0.360989i
\(121\) 7.46507 + 3.74910i 0.678643 + 0.340827i
\(122\) 6.89187 + 3.46123i 0.623961 + 0.313365i
\(123\) −2.28127 13.4496i −0.205695 1.21271i
\(124\) −1.22983 + 1.30355i −0.110442 + 0.117062i
\(125\) 8.22664 6.90297i 0.735813 0.617420i
\(126\) −4.33491 1.08725i −0.386185 0.0968596i
\(127\) 14.4311 + 12.1091i 1.28055 + 1.07451i 0.993168 + 0.116693i \(0.0372293\pi\)
0.287382 + 0.957816i \(0.407215\pi\)
\(128\) −0.993238 + 0.116093i −0.0877907 + 0.0102613i
\(129\) −0.762564 0.0941715i −0.0671400 0.00829134i
\(130\) −0.774964 0.821414i −0.0679689 0.0720428i
\(131\) −13.3322 1.55832i −1.16484 0.136151i −0.488383 0.872629i \(-0.662413\pi\)
−0.676461 + 0.736479i \(0.736487\pi\)
\(132\) −7.40277 1.80551i −0.644328 0.157150i
\(133\) 0.623154 10.6991i 0.0540343 0.927733i
\(134\) −1.90863 3.30585i −0.164881 0.285582i
\(135\) 0.464710 + 12.0238i 0.0399958 + 1.03484i
\(136\) 3.28896 5.69665i 0.282026 0.488484i
\(137\) 4.42901 + 2.91301i 0.378396 + 0.248875i 0.724432 0.689346i \(-0.242102\pi\)
−0.346036 + 0.938221i \(0.612472\pi\)
\(138\) 0.326096 5.03360i 0.0277592 0.428488i
\(139\) −7.14865 16.5724i −0.606340 1.40565i −0.894063 0.447941i \(-0.852157\pi\)
0.287723 0.957714i \(-0.407102\pi\)
\(140\) 3.35678 0.795571i 0.283700 0.0672380i
\(141\) 9.23202 + 9.91400i 0.777476 + 0.834909i
\(142\) 4.62495 + 6.21238i 0.388117 + 0.521332i
\(143\) −2.01599 + 0.733761i −0.168586 + 0.0613601i
\(144\) 2.99975 + 0.0390942i 0.249979 + 0.00325785i
\(145\) −14.3327 5.21667i −1.19026 0.433221i
\(146\) −2.88937 9.65117i −0.239126 0.798737i
\(147\) −1.49099 + 8.14510i −0.122975 + 0.671796i
\(148\) 0.266550 + 4.57649i 0.0219103 + 0.376185i
\(149\) −14.7989 + 9.73339i −1.21237 + 0.797390i −0.984343 0.176264i \(-0.943599\pi\)
−0.228030 + 0.973654i \(0.573229\pi\)
\(150\) −0.310370 0.545759i −0.0253416 0.0445610i
\(151\) −2.32779 0.551696i −0.189433 0.0448964i 0.134804 0.990872i \(-0.456959\pi\)
−0.324237 + 0.945976i \(0.605108\pi\)
\(152\) 1.24925 + 7.08482i 0.101327 + 0.574655i
\(153\) −11.9895 + 15.6740i −0.969291 + 1.26717i
\(154\) 1.13804 6.45415i 0.0917060 0.520091i
\(155\) −1.64374 + 3.81063i −0.132029 + 0.306077i
\(156\) 0.708713 0.459540i 0.0567424 0.0367927i
\(157\) 2.97910 9.95089i 0.237758 0.794167i −0.752940 0.658089i \(-0.771365\pi\)
0.990698 0.136078i \(-0.0434498\pi\)
\(158\) 10.0259 13.4672i 0.797620 1.07139i
\(159\) −1.37095 + 3.12212i −0.108723 + 0.247600i
\(160\) −2.06939 + 1.03929i −0.163600 + 0.0821628i
\(161\) 4.33845 0.341917
\(162\) −8.90888 1.27744i −0.699948 0.100365i
\(163\) −6.60659 −0.517468 −0.258734 0.965949i \(-0.583305\pi\)
−0.258734 + 0.965949i \(0.583305\pi\)
\(164\) −7.03828 + 3.53476i −0.549598 + 0.276018i
\(165\) −17.5388 + 1.93424i −1.36539 + 0.150580i
\(166\) −3.10951 + 4.17680i −0.241345 + 0.324183i
\(167\) 1.98331 6.62473i 0.153473 0.512637i −0.846326 0.532665i \(-0.821190\pi\)
0.999799 + 0.0200284i \(0.00637567\pi\)
\(168\) 0.133243 + 2.57684i 0.0102799 + 0.198808i
\(169\) −5.05484 + 11.7184i −0.388834 + 0.901419i
\(170\) 2.64510 15.0011i 0.202870 1.15053i
\(171\) −0.974023 21.5604i −0.0744854 1.64876i
\(172\) 0.0770323 + 0.436872i 0.00587365 + 0.0333112i
\(173\) −12.3276 2.92169i −0.937249 0.222132i −0.266516 0.963831i \(-0.585872\pi\)
−0.670734 + 0.741698i \(0.734021\pi\)
\(174\) 5.76838 9.84247i 0.437300 0.746155i
\(175\) 0.451164 0.296735i 0.0341048 0.0224311i
\(176\) 0.255795 + 4.39183i 0.0192813 + 0.331047i
\(177\) 16.7672 + 14.2565i 1.26030 + 1.07159i
\(178\) 0.888457 + 2.96765i 0.0665926 + 0.222435i
\(179\) −0.951462 0.346304i −0.0711156 0.0258840i 0.306217 0.951962i \(-0.400937\pi\)
−0.377333 + 0.926078i \(0.623159\pi\)
\(180\) 6.55856 2.29078i 0.488846 0.170745i
\(181\) 14.7137 5.35534i 1.09366 0.398059i 0.268684 0.963228i \(-0.413411\pi\)
0.824975 + 0.565169i \(0.191189\pi\)
\(182\) 0.433828 + 0.582733i 0.0321575 + 0.0431950i
\(183\) −3.91439 + 12.7715i −0.289360 + 0.944097i
\(184\) −2.83374 + 0.671609i −0.208906 + 0.0495117i
\(185\) 4.20469 + 9.74756i 0.309135 + 0.716655i
\(186\) −2.58223 1.72257i −0.189338 0.126305i
\(187\) −24.1774 15.9018i −1.76803 1.16285i
\(188\) 3.91064 6.77343i 0.285213 0.494003i
\(189\) 0.601054 7.71748i 0.0437203 0.561364i
\(190\) 8.32972 + 14.4275i 0.604301 + 1.04668i
\(191\) −0.257431 + 4.41992i −0.0186271 + 0.319814i 0.976105 + 0.217301i \(0.0697254\pi\)
−0.994732 + 0.102513i \(0.967312\pi\)
\(192\) −0.485936 1.66249i −0.0350694 0.119980i
\(193\) −18.8735 2.20600i −1.35855 0.158791i −0.594574 0.804041i \(-0.702679\pi\)
−0.763972 + 0.645250i \(0.776753\pi\)
\(194\) 0.966336 + 1.02426i 0.0693789 + 0.0735373i
\(195\) 1.17823 1.56130i 0.0843748 0.111807i
\(196\) 4.74839 0.555007i 0.339171 0.0396433i
\(197\) −17.3672 14.5728i −1.23736 1.03827i −0.997726 0.0674075i \(-0.978527\pi\)
−0.239637 0.970863i \(-0.577028\pi\)
\(198\) 0.939015 13.1644i 0.0667329 0.935552i
\(199\) −2.88695 + 2.42244i −0.204650 + 0.171722i −0.739352 0.673319i \(-0.764868\pi\)
0.534702 + 0.845041i \(0.320424\pi\)
\(200\) −0.248751 + 0.263661i −0.0175894 + 0.0186436i
\(201\) 5.09244 4.21683i 0.359193 0.297432i
\(202\) −8.98134 4.51060i −0.631925 0.317365i
\(203\) 8.76848 + 4.40370i 0.615427 + 0.309079i
\(204\) 10.6806 + 3.96642i 0.747791 + 0.277705i
\(205\) −12.5161 + 13.2663i −0.874160 + 0.926555i
\(206\) −1.28515 + 1.07837i −0.0895403 + 0.0751333i
\(207\) 8.69013 0.901104i 0.604006 0.0626311i
\(208\) −0.373573 0.313465i −0.0259026 0.0217349i
\(209\) 31.4349 3.67421i 2.17440 0.254151i
\(210\) 2.33085 + 5.50180i 0.160844 + 0.379660i
\(211\) 9.04987 + 9.59230i 0.623019 + 0.660361i 0.959624 0.281284i \(-0.0907604\pi\)
−0.336606 + 0.941646i \(0.609279\pi\)
\(212\) 1.95537 + 0.228550i 0.134295 + 0.0156969i
\(213\) −9.26904 + 9.69724i −0.635104 + 0.664444i
\(214\) −0.716594 + 12.3034i −0.0489853 + 0.841046i
\(215\) 0.513636 + 0.889644i 0.0350297 + 0.0606732i
\(216\) 0.802107 + 5.13387i 0.0545765 + 0.349316i
\(217\) 1.33489 2.31210i 0.0906182 0.156955i
\(218\) 15.9505 + 10.4908i 1.08030 + 0.710527i
\(219\) 15.6440 7.72950i 1.05713 0.522311i
\(220\) 4.03503 + 9.35425i 0.272042 + 0.630663i
\(221\) 3.12136 0.739775i 0.209965 0.0497627i
\(222\) −7.73789 + 1.78074i −0.519333 + 0.119516i
\(223\) −4.24353 5.70006i −0.284168 0.381704i 0.637003 0.770861i \(-0.280174\pi\)
−0.921171 + 0.389157i \(0.872766\pi\)
\(224\) 1.39989 0.509517i 0.0935338 0.0340435i
\(225\) 0.842073 0.688084i 0.0561382 0.0458723i
\(226\) −7.57128 2.75572i −0.503634 0.183308i
\(227\) 0.642640 + 2.14657i 0.0426535 + 0.142473i 0.976664 0.214773i \(-0.0689011\pi\)
−0.934011 + 0.357246i \(0.883716\pi\)
\(228\) −11.7366 + 4.18538i −0.777277 + 0.277184i
\(229\) 0.903744 + 15.5167i 0.0597211 + 1.02537i 0.886466 + 0.462794i \(0.153153\pi\)
−0.826745 + 0.562577i \(0.809810\pi\)
\(230\) −5.63444 + 3.70583i −0.371524 + 0.244355i
\(231\) 11.3511 + 0.0739637i 0.746850 + 0.00486645i
\(232\) −6.40902 1.51897i −0.420773 0.0997250i
\(233\) 1.36995 + 7.76937i 0.0897483 + 0.508988i 0.996231 + 0.0867442i \(0.0276463\pi\)
−0.906482 + 0.422244i \(0.861243\pi\)
\(234\) 0.990016 + 1.07714i 0.0647193 + 0.0704146i
\(235\) 3.14508 17.8366i 0.205162 1.16353i
\(236\) 5.03290 11.6676i 0.327614 0.759494i
\(237\) 25.9013 + 13.2202i 1.68247 + 0.858742i
\(238\) −2.81048 + 9.38764i −0.182176 + 0.608511i
\(239\) 3.07871 4.13542i 0.199145 0.267498i −0.691321 0.722548i \(-0.742971\pi\)
0.890466 + 0.455049i \(0.150378\pi\)
\(240\) −2.37414 3.23279i −0.153250 0.208676i
\(241\) −1.85788 + 0.933061i −0.119676 + 0.0601038i −0.507630 0.861575i \(-0.669478\pi\)
0.387954 + 0.921679i \(0.373182\pi\)
\(242\) 8.35362 0.536991
\(243\) −0.398994 15.5834i −0.0255955 0.999672i
\(244\) 7.71220 0.493723
\(245\) 9.89315 4.96853i 0.632050 0.317428i
\(246\) −8.07478 10.9952i −0.514829 0.701026i
\(247\) −2.09502 + 2.81410i −0.133303 + 0.179057i
\(248\) −0.513987 + 1.71684i −0.0326382 + 0.109019i
\(249\) −8.03322 4.10020i −0.509085 0.259839i
\(250\) 4.25355 9.86083i 0.269018 0.623654i
\(251\) 3.84832 21.8249i 0.242904 1.37757i −0.582408 0.812897i \(-0.697889\pi\)
0.825311 0.564678i \(-0.191000\pi\)
\(252\) −4.36178 + 0.973907i −0.274766 + 0.0613504i
\(253\) 2.22474 + 12.6171i 0.139868 + 0.793231i
\(254\) 18.3306 + 4.34444i 1.15017 + 0.272594i
\(255\) 26.3830 + 0.171911i 1.65216 + 0.0107655i
\(256\) −0.835488 + 0.549509i −0.0522180 + 0.0343443i
\(257\) −0.653529 11.2207i −0.0407660 0.699925i −0.955340 0.295507i \(-0.904511\pi\)
0.914574 0.404418i \(-0.132526\pi\)
\(258\) −0.723716 + 0.258083i −0.0450566 + 0.0160676i
\(259\) −1.95866 6.54238i −0.121705 0.406524i
\(260\) −1.06118 0.386239i −0.0658118 0.0239535i
\(261\) 18.4784 + 6.99960i 1.14378 + 0.433265i
\(262\) −12.6135 + 4.59094i −0.779264 + 0.283629i
\(263\) 0.769213 + 1.03323i 0.0474317 + 0.0637118i 0.825206 0.564832i \(-0.191059\pi\)
−0.777775 + 0.628543i \(0.783651\pi\)
\(264\) −7.42567 + 1.70889i −0.457018 + 0.105175i
\(265\) 4.43599 1.05135i 0.272501 0.0645839i
\(266\) −4.24489 9.84077i −0.260271 0.603376i
\(267\) −4.81040 + 2.37675i −0.294392 + 0.145455i
\(268\) −3.18928 2.09762i −0.194816 0.128133i
\(269\) −8.37641 + 14.5084i −0.510719 + 0.884591i 0.489204 + 0.872169i \(0.337287\pi\)
−0.999923 + 0.0124213i \(0.996046\pi\)
\(270\) 5.81154 + 10.5363i 0.353679 + 0.641217i
\(271\) −13.9516 24.1649i −0.847502 1.46792i −0.883431 0.468562i \(-0.844772\pi\)
0.0359290 0.999354i \(-0.488561\pi\)
\(272\) 0.382472 6.56680i 0.0231908 0.398171i
\(273\) −0.869453 + 0.909618i −0.0526217 + 0.0550526i
\(274\) 5.26526 + 0.615421i 0.318086 + 0.0371790i
\(275\) 1.09432 + 1.15992i 0.0659902 + 0.0699456i
\(276\) −1.96766 4.64454i −0.118439 0.279568i
\(277\) 3.12877 0.365701i 0.187990 0.0219728i −0.0215771 0.999767i \(-0.506869\pi\)
0.209567 + 0.977794i \(0.432795\pi\)
\(278\) −13.8260 11.6014i −0.829226 0.695803i
\(279\) 2.19363 4.90851i 0.131329 0.293865i
\(280\) 2.64267 2.21747i 0.157930 0.132519i
\(281\) −0.756901 + 0.802268i −0.0451529 + 0.0478593i −0.749556 0.661941i \(-0.769733\pi\)
0.704403 + 0.709800i \(0.251215\pi\)
\(282\) 12.6994 + 4.71615i 0.756240 + 0.280842i
\(283\) 28.2064 + 14.1658i 1.67670 + 0.842068i 0.993754 + 0.111595i \(0.0355959\pi\)
0.682941 + 0.730473i \(0.260700\pi\)
\(284\) 6.92112 + 3.47592i 0.410693 + 0.206258i
\(285\) −22.2246 + 18.4032i −1.31647 + 1.09011i
\(286\) −1.47224 + 1.56049i −0.0870556 + 0.0922736i
\(287\) 8.98811 7.54192i 0.530551 0.445186i
\(288\) 2.69822 1.31135i 0.158994 0.0772719i
\(289\) 20.1233 + 16.8855i 1.18372 + 0.993263i
\(290\) −15.1494 + 1.77071i −0.889603 + 0.103980i
\(291\) −1.46919 + 1.94685i −0.0861252 + 0.114126i
\(292\) −6.91347 7.32785i −0.404580 0.428830i
\(293\) −28.2115 3.29745i −1.64813 0.192639i −0.759258 0.650790i \(-0.774438\pi\)
−0.888874 + 0.458151i \(0.848512\pi\)
\(294\) 2.32312 + 7.94788i 0.135487 + 0.463530i
\(295\) 1.71092 29.3753i 0.0996135 1.71030i
\(296\) 2.29212 + 3.97008i 0.133227 + 0.230756i
\(297\) 22.7523 2.20950i 1.32022 0.128208i
\(298\) −8.85644 + 15.3398i −0.513040 + 0.888611i
\(299\) −1.18656 0.780412i −0.0686204 0.0451324i
\(300\) −0.522293 0.348414i −0.0301546 0.0201157i
\(301\) −0.261753 0.606812i −0.0150872 0.0349761i
\(302\) −2.32779 + 0.551696i −0.133949 + 0.0317465i
\(303\) 5.10116 16.6436i 0.293054 0.956148i
\(304\) 4.29603 + 5.77057i 0.246394 + 0.330965i
\(305\) 16.7821 6.10819i 0.960942 0.349754i
\(306\) −3.67970 + 19.3877i −0.210354 + 1.10832i
\(307\) −28.0570 10.2119i −1.60130 0.582824i −0.621604 0.783332i \(-0.713519\pi\)
−0.979692 + 0.200507i \(0.935741\pi\)
\(308\) −1.87963 6.27839i −0.107102 0.357745i
\(309\) −2.21372 1.88225i −0.125934 0.107077i
\(310\) 0.241303 + 4.14301i 0.0137051 + 0.235307i
\(311\) 1.52200 1.00103i 0.0863046 0.0567634i −0.505623 0.862754i \(-0.668737\pi\)
0.591928 + 0.805991i \(0.298367\pi\)
\(312\) 0.427088 0.728730i 0.0241791 0.0412562i
\(313\) −4.20142 0.995754i −0.237478 0.0562833i 0.110153 0.993915i \(-0.464866\pi\)
−0.347631 + 0.937631i \(0.613014\pi\)
\(314\) −1.80373 10.2295i −0.101790 0.577282i
\(315\) −8.72009 + 5.57387i −0.491321 + 0.314052i
\(316\) 2.91545 16.5343i 0.164007 0.930128i
\(317\) 12.9195 29.9507i 0.725630 1.68220i −0.00552184 0.999985i \(-0.501758\pi\)
0.731152 0.682215i \(-0.238983\pi\)
\(318\) 0.176081 + 3.40530i 0.00987411 + 0.190960i
\(319\) −8.31044 + 27.7588i −0.465295 + 1.55419i
\(320\) −1.38284 + 1.85748i −0.0773032 + 0.103836i
\(321\) −21.2177 + 2.33995i −1.18425 + 0.130603i
\(322\) 3.87698 1.94709i 0.216055 0.108507i
\(323\) −47.3224 −2.63309
\(324\) −8.53458 + 2.85674i −0.474143 + 0.158708i
\(325\) −0.176770 −0.00980546
\(326\) −5.90386 + 2.96503i −0.326985 + 0.164218i
\(327\) −13.2947 + 30.2767i −0.735200 + 1.67430i
\(328\) −4.70324 + 6.31755i −0.259693 + 0.348828i
\(329\) −3.34171 + 11.1621i −0.184234 + 0.615386i
\(330\) −14.8052 + 9.59989i −0.814997 + 0.528457i
\(331\) −3.78788 + 8.78130i −0.208201 + 0.482664i −0.990035 0.140823i \(-0.955025\pi\)
0.781834 + 0.623487i \(0.214284\pi\)
\(332\) −0.904218 + 5.12807i −0.0496254 + 0.281440i
\(333\) −5.28216 12.6979i −0.289461 0.695841i
\(334\) −1.20082 6.81018i −0.0657059 0.372637i
\(335\) −8.60138 2.03856i −0.469944 0.111379i
\(336\) 1.27555 + 2.24295i 0.0695872 + 0.122363i
\(337\) −13.9009 + 9.14276i −0.757230 + 0.498038i −0.868461 0.495757i \(-0.834891\pi\)
0.111232 + 0.993794i \(0.464520\pi\)
\(338\) 0.742055 + 12.7406i 0.0403625 + 0.692997i
\(339\) 2.51284 13.7274i 0.136479 0.745568i
\(340\) −4.36874 14.5926i −0.236928 0.791395i
\(341\) 7.40859 + 2.69651i 0.401198 + 0.146024i
\(342\) −10.5467 18.8299i −0.570300 1.01820i
\(343\) −16.4917 + 6.00247i −0.890465 + 0.324103i
\(344\) 0.264906 + 0.355831i 0.0142828 + 0.0191851i
\(345\) −7.96029 8.54832i −0.428568 0.460226i
\(346\) −12.3276 + 2.92169i −0.662735 + 0.157071i
\(347\) 9.89690 + 22.9436i 0.531294 + 1.23168i 0.946722 + 0.322051i \(0.104372\pi\)
−0.415429 + 0.909626i \(0.636368\pi\)
\(348\) 0.737526 11.3844i 0.0395355 0.610268i
\(349\) 17.1526 + 11.2815i 0.918160 + 0.603884i 0.918200 0.396116i \(-0.129642\pi\)
−3.99838e−5 1.00000i \(0.500013\pi\)
\(350\) 0.270001 0.467655i 0.0144321 0.0249972i
\(351\) −1.55263 + 2.00260i −0.0828732 + 0.106891i
\(352\) 2.19964 + 3.80988i 0.117241 + 0.203067i
\(353\) −1.05164 + 18.0559i −0.0559731 + 0.961021i 0.847073 + 0.531477i \(0.178363\pi\)
−0.903046 + 0.429544i \(0.858674\pi\)
\(354\) 21.3820 + 5.21501i 1.13644 + 0.277174i
\(355\) 17.8137 + 2.08212i 0.945452 + 0.110507i
\(356\) 2.12583 + 2.25325i 0.112669 + 0.119422i
\(357\) −16.8450 2.08024i −0.891530 0.110098i
\(358\) −1.00568 + 0.117547i −0.0531518 + 0.00621255i
\(359\) 23.7236 + 19.9065i 1.25209 + 1.05062i 0.996479 + 0.0838438i \(0.0267197\pi\)
0.255607 + 0.966781i \(0.417725\pi\)
\(360\) 4.83284 4.99059i 0.254713 0.263027i
\(361\) 25.0920 21.0547i 1.32063 1.10814i
\(362\) 10.7452 11.3892i 0.564753 0.598603i
\(363\) 2.41960 + 14.2651i 0.126996 + 0.748726i
\(364\) 0.649213 + 0.326047i 0.0340280 + 0.0170895i
\(365\) −20.8479 10.4702i −1.09123 0.548034i
\(366\) 2.23381 + 13.1698i 0.116763 + 0.688397i
\(367\) −5.49865 + 5.82823i −0.287027 + 0.304231i −0.854803 0.518952i \(-0.826322\pi\)
0.567776 + 0.823183i \(0.307804\pi\)
\(368\) −2.23091 + 1.87195i −0.116294 + 0.0975823i
\(369\) 16.4372 16.9737i 0.855685 0.883616i
\(370\) 8.13214 + 6.82368i 0.422770 + 0.354746i
\(371\) −2.91296 + 0.340477i −0.151234 + 0.0176767i
\(372\) −3.08065 0.380440i −0.159724 0.0197249i
\(373\) −15.3339 16.2530i −0.793962 0.841550i 0.196332 0.980537i \(-0.437097\pi\)
−0.990294 + 0.138987i \(0.955615\pi\)
\(374\) −28.7424 3.35951i −1.48624 0.173716i
\(375\) 18.0710 + 4.40746i 0.933181 + 0.227600i
\(376\) 0.454767 7.80805i 0.0234528 0.402670i
\(377\) −1.60602 2.78170i −0.0827141 0.143265i
\(378\) −2.92648 7.16634i −0.150522 0.368597i
\(379\) 10.1868 17.6441i 0.523262 0.906317i −0.476371 0.879244i \(-0.658048\pi\)
0.999633 0.0270727i \(-0.00861857\pi\)
\(380\) 13.9188 + 9.15451i 0.714017 + 0.469617i
\(381\) −2.10942 + 32.5608i −0.108069 + 1.66814i
\(382\) 1.75361 + 4.06532i 0.0897224 + 0.208000i
\(383\) 2.46010 0.583054i 0.125705 0.0297927i −0.167282 0.985909i \(-0.553499\pi\)
0.292987 + 0.956116i \(0.405351\pi\)
\(384\) −1.18037 1.26757i −0.0602356 0.0646852i
\(385\) −9.06276 12.1734i −0.461881 0.620414i
\(386\) −17.8560 + 6.49907i −0.908848 + 0.330794i
\(387\) −0.650341 1.16111i −0.0330587 0.0590225i
\(388\) 1.32323 + 0.481618i 0.0671771 + 0.0244505i
\(389\) 4.54869 + 15.1937i 0.230628 + 0.770350i 0.992459 + 0.122575i \(0.0391152\pi\)
−0.761832 + 0.647775i \(0.775700\pi\)
\(390\) 0.352197 1.92401i 0.0178342 0.0974262i
\(391\) −1.11385 19.1241i −0.0563299 0.967148i
\(392\) 3.99423 2.62704i 0.201739 0.132686i
\(393\) −11.4932 20.2098i −0.579756 1.01945i
\(394\) −22.0602 5.22836i −1.11138 0.263401i
\(395\) −6.75131 38.2886i −0.339695 1.92651i
\(396\) −5.06903 12.1855i −0.254728 0.612347i
\(397\) 5.19212 29.4460i 0.260585 1.47785i −0.520734 0.853719i \(-0.674341\pi\)
0.781319 0.624132i \(-0.214547\pi\)
\(398\) −1.49268 + 3.46043i −0.0748214 + 0.173456i
\(399\) 15.5752 10.0992i 0.779734 0.505592i
\(400\) −0.103961 + 0.347255i −0.00519807 + 0.0173628i
\(401\) −5.58127 + 7.49695i −0.278715 + 0.374380i −0.919333 0.393480i \(-0.871271\pi\)
0.640618 + 0.767860i \(0.278678\pi\)
\(402\) 2.65826 6.05378i 0.132582 0.301935i
\(403\) −0.780997 + 0.392231i −0.0389042 + 0.0195384i
\(404\) −10.0504 −0.500025
\(405\) −16.3091 + 12.9759i −0.810405 + 0.644779i
\(406\) 9.81218 0.486970
\(407\) 18.0222 9.05110i 0.893328 0.448646i
\(408\) 11.3246 1.24892i 0.560654 0.0618307i
\(409\) −0.379338 + 0.509540i −0.0187571 + 0.0251951i −0.811403 0.584487i \(-0.801296\pi\)
0.792646 + 0.609683i \(0.208703\pi\)
\(410\) −5.23088 + 17.4724i −0.258335 + 0.862898i
\(411\) 0.474136 + 9.16954i 0.0233874 + 0.452300i
\(412\) −0.664479 + 1.54043i −0.0327365 + 0.0758918i
\(413\) −3.28709 + 18.6420i −0.161747 + 0.917315i
\(414\) 7.36137 4.70538i 0.361792 0.231257i
\(415\) 2.09390 + 11.8751i 0.102786 + 0.582926i
\(416\) −0.474520 0.112463i −0.0232653 0.00551397i
\(417\) 15.8065 26.9703i 0.774049 1.32074i
\(418\) 26.4423 17.3914i 1.29333 0.850639i
\(419\) 0.398563 + 6.84305i 0.0194711 + 0.334305i 0.993951 + 0.109829i \(0.0350302\pi\)
−0.974479 + 0.224477i \(0.927933\pi\)
\(420\) 4.55212 + 3.87051i 0.222121 + 0.188862i
\(421\) 6.42595 + 21.4642i 0.313182 + 1.04610i 0.959188 + 0.282768i \(0.0912526\pi\)
−0.646007 + 0.763332i \(0.723562\pi\)
\(422\) 12.3923 + 4.51042i 0.603247 + 0.219564i
\(423\) −4.37523 + 23.0523i −0.212731 + 1.12084i
\(424\) 1.84995 0.673328i 0.0898417 0.0326997i
\(425\) −1.42386 1.91257i −0.0690673 0.0927734i
\(426\) −3.93101 + 12.8257i −0.190458 + 0.621408i
\(427\) −11.1794 + 2.64956i −0.541008 + 0.128221i
\(428\) 4.88140 + 11.3164i 0.235951 + 0.546997i
\(429\) −3.09121 2.06210i −0.149245 0.0995593i
\(430\) 0.858273 + 0.564495i 0.0413896 + 0.0272224i
\(431\) 7.62700 13.2103i 0.367379 0.636320i −0.621776 0.783196i \(-0.713588\pi\)
0.989155 + 0.146876i \(0.0469217\pi\)
\(432\) 3.02087 + 4.22781i 0.145341 + 0.203411i
\(433\) 8.83327 + 15.2997i 0.424500 + 0.735255i 0.996374 0.0850866i \(-0.0271167\pi\)
−0.571874 + 0.820342i \(0.693783\pi\)
\(434\) 0.155234 2.66526i 0.00745146 0.127937i
\(435\) −7.41174 25.3571i −0.355366 1.21578i
\(436\) 18.9622 + 2.21636i 0.908123 + 0.106144i
\(437\) 14.3775 + 15.2392i 0.687767 + 0.728990i
\(438\) 10.5110 13.9284i 0.502236 0.665523i
\(439\) 23.6609 2.76556i 1.12927 0.131993i 0.469127 0.883131i \(-0.344569\pi\)
0.660146 + 0.751137i \(0.270494\pi\)
\(440\) 7.80401 + 6.54835i 0.372042 + 0.312180i
\(441\) −12.8994 + 6.26918i −0.614257 + 0.298532i
\(442\) 2.45734 2.06195i 0.116884 0.0980770i
\(443\) 10.1320 10.7393i 0.481385 0.510239i −0.440473 0.897766i \(-0.645189\pi\)
0.921858 + 0.387527i \(0.126671\pi\)
\(444\) −6.11564 + 5.06409i −0.290235 + 0.240331i
\(445\) 6.41053 + 3.21949i 0.303888 + 0.152619i
\(446\) −6.35034 3.18926i −0.300697 0.151016i
\(447\) −28.7604 10.6807i −1.36032 0.505179i
\(448\) 1.02231 1.08359i 0.0482997 0.0511947i
\(449\) −8.26585 + 6.93587i −0.390090 + 0.327324i −0.816648 0.577136i \(-0.804170\pi\)
0.426558 + 0.904460i \(0.359726\pi\)
\(450\) 0.443692 0.992816i 0.0209159 0.0468018i
\(451\) 26.5426 + 22.2719i 1.24984 + 1.04874i
\(452\) −8.00271 + 0.935383i −0.376416 + 0.0439967i
\(453\) −1.61635 3.81527i −0.0759425 0.179257i
\(454\) 1.53766 + 1.62983i 0.0721660 + 0.0764915i
\(455\) 1.67096 + 0.195307i 0.0783356 + 0.00915612i
\(456\) −8.60984 + 9.00758i −0.403193 + 0.421819i
\(457\) −1.75430 + 30.1202i −0.0820627 + 1.40896i 0.666305 + 0.745679i \(0.267875\pi\)
−0.748368 + 0.663284i \(0.769162\pi\)
\(458\) 7.77149 + 13.4606i 0.363138 + 0.628974i
\(459\) −34.1734 0.668094i −1.59508 0.0311840i
\(460\) −3.37194 + 5.84038i −0.157218 + 0.272309i
\(461\) −16.9882 11.1733i −0.791219 0.520393i 0.0883926 0.996086i \(-0.471827\pi\)
−0.879611 + 0.475693i \(0.842197\pi\)
\(462\) 10.1769 5.02828i 0.473474 0.233937i
\(463\) 8.36162 + 19.3844i 0.388597 + 0.900870i 0.994442 + 0.105287i \(0.0335760\pi\)
−0.605845 + 0.795583i \(0.707165\pi\)
\(464\) −6.40902 + 1.51897i −0.297531 + 0.0705162i
\(465\) −7.00496 + 1.61207i −0.324847 + 0.0747581i
\(466\) 4.71112 + 6.32813i 0.218238 + 0.293145i
\(467\) 16.2329 5.90831i 0.751171 0.273404i 0.0620726 0.998072i \(-0.480229\pi\)
0.689098 + 0.724668i \(0.258007\pi\)
\(468\) 1.36813 + 0.518246i 0.0632418 + 0.0239559i
\(469\) 5.34374 + 1.94496i 0.246751 + 0.0898099i
\(470\) −5.19452 17.3509i −0.239605 0.800337i
\(471\) 16.9460 6.04309i 0.780830 0.278451i
\(472\) −0.738833 12.6853i −0.0340076 0.583887i
\(473\) 1.63051 1.07240i 0.0749710 0.0493092i
\(474\) 29.0795 + 0.189481i 1.33566 + 0.00870314i
\(475\) 2.53745 + 0.601388i 0.116426 + 0.0275936i
\(476\) 1.70163 + 9.65044i 0.0779943 + 0.442327i
\(477\) −5.76410 + 1.28702i −0.263920 + 0.0589287i
\(478\) 0.895260 5.07727i 0.0409482 0.232229i
\(479\) −8.46394 + 19.6216i −0.386727 + 0.896534i 0.607996 + 0.793940i \(0.291974\pi\)
−0.994723 + 0.102594i \(0.967286\pi\)
\(480\) −3.57248 1.82341i −0.163061 0.0832270i
\(481\) −0.641171 + 2.14166i −0.0292349 + 0.0976513i
\(482\) −1.24150 + 1.66763i −0.0565489 + 0.0759584i
\(483\) 4.44792 + 6.05659i 0.202388 + 0.275584i
\(484\) 7.46507 3.74910i 0.339321 0.170414i
\(485\) 3.26087 0.148069
\(486\) −7.35035 13.7467i −0.333419 0.623564i
\(487\) −11.1991 −0.507482 −0.253741 0.967272i \(-0.581661\pi\)
−0.253741 + 0.967272i \(0.581661\pi\)
\(488\) 6.89187 3.46123i 0.311980 0.156682i
\(489\) −6.77330 9.22298i −0.306299 0.417078i
\(490\) 6.61097 8.88008i 0.298653 0.401161i
\(491\) −2.57840 + 8.61245i −0.116361 + 0.388674i −0.996252 0.0865028i \(-0.972431\pi\)
0.879890 + 0.475177i \(0.157616\pi\)
\(492\) −12.1505 6.20168i −0.547787 0.279594i
\(493\) 17.1605 39.7826i 0.772871 1.79172i
\(494\) −0.609213 + 3.45502i −0.0274098 + 0.155449i
\(495\) −20.6816 22.5016i −0.929570 1.01137i
\(496\) 0.311199 + 1.76490i 0.0139733 + 0.0792463i
\(497\) −11.2268 2.66081i −0.503592 0.119353i
\(498\) −9.01891 0.0587670i −0.404147 0.00263341i
\(499\) −1.29086 + 0.849012i −0.0577868 + 0.0380070i −0.578074 0.815985i \(-0.696195\pi\)
0.520287 + 0.853992i \(0.325825\pi\)
\(500\) −0.624424 10.7209i −0.0279251 0.479455i
\(501\) 11.2817 4.02314i 0.504028 0.179741i
\(502\) −6.35601 21.2306i −0.283683 0.947566i
\(503\) −8.36142 3.04331i −0.372817 0.135694i 0.148815 0.988865i \(-0.452454\pi\)
−0.521632 + 0.853171i \(0.674676\pi\)
\(504\) −3.46074 + 2.82788i −0.154153 + 0.125964i
\(505\) −21.8701 + 7.96007i −0.973207 + 0.354219i
\(506\) 7.65065 + 10.2766i 0.340113 + 0.456851i
\(507\) −21.5417 + 4.95745i −0.956699 + 0.220168i
\(508\) 18.3306 4.34444i 0.813290 0.192753i
\(509\) 5.04282 + 11.6906i 0.223519 + 0.518176i 0.992665 0.120898i \(-0.0385773\pi\)
−0.769146 + 0.639073i \(0.779318\pi\)
\(510\) 23.6538 11.6870i 1.04741 0.517510i
\(511\) 12.5391 + 8.24709i 0.554697 + 0.364830i
\(512\) −0.500000 + 0.866025i −0.0220971 + 0.0382733i
\(513\) 29.1003 23.4642i 1.28481 1.03597i
\(514\) −5.61983 9.73384i −0.247880 0.429341i
\(515\) −0.225888 + 3.87834i −0.00995380 + 0.170900i
\(516\) −0.530909 + 0.555435i −0.0233720 + 0.0244517i
\(517\) −34.1753 3.99452i −1.50303 0.175679i
\(518\) −4.68654 4.96744i −0.205915 0.218257i
\(519\) −8.55991 20.2051i −0.375738 0.886905i
\(520\) −1.12165 + 0.131102i −0.0491877 + 0.00574922i
\(521\) 13.0420 + 10.9435i 0.571380 + 0.479445i 0.882104 0.471056i \(-0.156127\pi\)
−0.310724 + 0.950500i \(0.600571\pi\)
\(522\) 19.6543 2.03801i 0.860245 0.0892013i
\(523\) −12.6277 + 10.5959i −0.552172 + 0.463327i −0.875676 0.482900i \(-0.839584\pi\)
0.323504 + 0.946227i \(0.395139\pi\)
\(524\) −9.21142 + 9.76354i −0.402403 + 0.426522i
\(525\) 0.876800 + 0.325615i 0.0382667 + 0.0142110i
\(526\) 1.15111 + 0.578108i 0.0501907 + 0.0252067i
\(527\) −10.5346 5.29066i −0.458893 0.230465i
\(528\) −5.86887 + 4.85975i −0.255410 + 0.211494i
\(529\) 9.96344 10.5606i 0.433193 0.459158i
\(530\) 3.49230 2.93039i 0.151696 0.127288i
\(531\) −2.71223 + 38.0237i −0.117701 + 1.65009i
\(532\) −8.20991 6.88893i −0.355945 0.298673i
\(533\) −3.81490 + 0.445898i −0.165242 + 0.0193140i
\(534\) −3.23205 + 4.28285i −0.139864 + 0.185337i
\(535\) 19.5849 + 20.7588i 0.846730 + 0.897482i
\(536\) −3.79145 0.443157i −0.163766 0.0191415i
\(537\) −0.492022 1.68331i −0.0212323 0.0726402i
\(538\) −0.974090 + 16.7245i −0.0419960 + 0.721043i
\(539\) −10.5158 18.2140i −0.452949 0.784531i
\(540\) 9.92205 + 6.80734i 0.426977 + 0.292941i
\(541\) 22.2115 38.4714i 0.954947 1.65402i 0.220457 0.975397i \(-0.429245\pi\)
0.734490 0.678620i \(-0.237422\pi\)
\(542\) −23.3128 15.3331i −1.00137 0.658613i
\(543\) 22.5612 + 15.0502i 0.968193 + 0.645867i
\(544\) −2.60538 6.03996i −0.111705 0.258961i
\(545\) 43.0180 10.1954i 1.84269 0.436725i
\(546\) −0.368735 + 1.20307i −0.0157804 + 0.0514868i
\(547\) 7.39145 + 9.92844i 0.316036 + 0.424509i 0.931548 0.363617i \(-0.118458\pi\)
−0.615513 + 0.788127i \(0.711051\pi\)
\(548\) 4.98141 1.81309i 0.212795 0.0774512i
\(549\) −21.8426 + 7.62919i −0.932218 + 0.325606i
\(550\) 1.49849 + 0.545407i 0.0638960 + 0.0232562i
\(551\) 13.5900 + 45.3938i 0.578954 + 1.93384i
\(552\) −3.84284 3.26743i −0.163562 0.139071i
\(553\) 1.45430 + 24.9693i 0.0618429 + 1.06180i
\(554\) 2.63185 1.73099i 0.111816 0.0735428i
\(555\) −9.29708 + 15.8634i −0.394639 + 0.673364i
\(556\) −17.5620 4.16227i −0.744795 0.176520i
\(557\) 1.00425 + 5.69536i 0.0425512 + 0.241320i 0.998664 0.0516799i \(-0.0164575\pi\)
−0.956112 + 0.293000i \(0.905346\pi\)
\(558\) −0.242639 5.37090i −0.0102717 0.227368i
\(559\) −0.0375659 + 0.213047i −0.00158887 + 0.00901093i
\(560\) 1.36638 3.16763i 0.0577402 0.133857i
\(561\) −2.58825 50.0554i −0.109276 2.11334i
\(562\) −0.316334 + 1.05663i −0.0133438 + 0.0445712i
\(563\) −0.346453 + 0.465367i −0.0146013 + 0.0196129i −0.809364 0.587308i \(-0.800188\pi\)
0.794763 + 0.606920i \(0.207595\pi\)
\(564\) 13.4652 1.48499i 0.566988 0.0625293i
\(565\) −16.6735 + 8.37373i −0.701458 + 0.352285i
\(566\) 31.5637 1.32672
\(567\) 11.3900 7.07314i 0.478337 0.297044i
\(568\) 7.74492 0.324970
\(569\) −6.61617 + 3.32276i −0.277364 + 0.139298i −0.582044 0.813157i \(-0.697747\pi\)
0.304680 + 0.952455i \(0.401451\pi\)
\(570\) −11.6013 + 26.4201i −0.485924 + 1.10662i
\(571\) −13.5093 + 18.1461i −0.565346 + 0.759391i −0.989237 0.146322i \(-0.953256\pi\)
0.423891 + 0.905713i \(0.360664\pi\)
\(572\) −0.615300 + 2.05524i −0.0257270 + 0.0859341i
\(573\) −6.43426 + 4.17208i −0.268795 + 0.174291i
\(574\) 4.64726 10.7736i 0.193973 0.449680i
\(575\) −0.183310 + 1.03960i −0.00764455 + 0.0433544i
\(576\) 1.82268 2.38282i 0.0759451 0.0992842i
\(577\) 2.27449 + 12.8993i 0.0946884 + 0.537004i 0.994842 + 0.101433i \(0.0323427\pi\)
−0.900154 + 0.435572i \(0.856546\pi\)
\(578\) 25.5610 + 6.05808i 1.06320 + 0.251983i
\(579\) −16.2701 28.6096i −0.676164 1.18898i
\(580\) −12.7433 + 8.38140i −0.529137 + 0.348019i
\(581\) −0.451046 7.74416i −0.0187125 0.321282i
\(582\) −0.439169 + 2.39913i −0.0182042 + 0.0994473i
\(583\) −2.48393 8.29692i −0.102874 0.343623i
\(584\) −9.46684 3.44565i −0.391741 0.142582i
\(585\) 3.38758 + 0.0441486i 0.140059 + 0.00182532i
\(586\) −26.6906 + 9.71458i −1.10258 + 0.401306i
\(587\) 16.7999 + 22.5661i 0.693404 + 0.931403i 0.999790 0.0205040i \(-0.00652710\pi\)
−0.306386 + 0.951907i \(0.599120\pi\)
\(588\) 5.64302 + 6.05987i 0.232714 + 0.249905i
\(589\) 12.5452 2.97328i 0.516917 0.122512i
\(590\) −11.6547 27.0186i −0.479816 1.11234i
\(591\) 2.53860 39.1857i 0.104424 1.61188i
\(592\) 3.83008 + 2.51909i 0.157415 + 0.103534i
\(593\) −0.451178 + 0.781463i −0.0185276 + 0.0320908i −0.875141 0.483869i \(-0.839231\pi\)
0.856613 + 0.515960i \(0.172565\pi\)
\(594\) 19.3406 12.1857i 0.793552 0.499985i
\(595\) 11.3462 + 19.6521i 0.465147 + 0.805658i
\(596\) −1.02991 + 17.6829i −0.0421869 + 0.724321i
\(597\) −6.34159 1.54669i −0.259544 0.0633020i
\(598\) −1.41060 0.164875i −0.0576835 0.00674224i
\(599\) −12.4157 13.1599i −0.507292 0.537698i 0.422218 0.906494i \(-0.361252\pi\)
−0.929510 + 0.368796i \(0.879770\pi\)
\(600\) −0.623106 0.0769494i −0.0254382 0.00314145i
\(601\) −33.5660 + 3.92330i −1.36918 + 0.160035i −0.768704 0.639605i \(-0.779098\pi\)
−0.600480 + 0.799640i \(0.705024\pi\)
\(602\) −0.506248 0.424792i −0.0206331 0.0173132i
\(603\) 11.1078 + 2.78595i 0.452343 + 0.113453i
\(604\) −1.83259 + 1.53772i −0.0745669 + 0.0625690i
\(605\) 13.2750 14.0707i 0.539706 0.572055i
\(606\) −2.91106 17.1626i −0.118254 0.697184i
\(607\) −15.0269 7.54680i −0.609924 0.306315i 0.116895 0.993144i \(-0.462706\pi\)
−0.726819 + 0.686829i \(0.759002\pi\)
\(608\) 6.42890 + 3.22871i 0.260726 + 0.130942i
\(609\) 2.84207 + 16.7559i 0.115166 + 0.678982i
\(610\) 12.2557 12.9903i 0.496219 0.525961i
\(611\) 2.92182 2.45170i 0.118204 0.0991851i
\(612\) 5.41288 + 18.9769i 0.218803 + 0.767096i
\(613\) 9.62863 + 8.07938i 0.388897 + 0.326323i 0.816183 0.577793i \(-0.196086\pi\)
−0.427287 + 0.904116i \(0.640530\pi\)
\(614\) −29.6557 + 3.46626i −1.19681 + 0.139887i
\(615\) −31.3520 3.87176i −1.26423 0.156124i
\(616\) −4.49744 4.76700i −0.181207 0.192068i
\(617\) 19.1926 + 2.24329i 0.772663 + 0.0903114i 0.493283 0.869869i \(-0.335797\pi\)
0.279381 + 0.960180i \(0.409871\pi\)
\(618\) −2.82300 0.688522i −0.113558 0.0276964i
\(619\) −0.922443 + 15.8377i −0.0370761 + 0.636572i 0.927672 + 0.373397i \(0.121807\pi\)
−0.964748 + 0.263176i \(0.915230\pi\)
\(620\) 2.07502 + 3.59403i 0.0833347 + 0.144340i
\(621\) 10.1674 + 11.2078i 0.408003 + 0.449754i
\(622\) 0.910844 1.57763i 0.0365215 0.0632571i
\(623\) −3.85566 2.53591i −0.154474 0.101599i
\(624\) 0.0546060 0.842894i 0.00218599 0.0337428i
\(625\) −10.5678 24.4989i −0.422713 0.979958i
\(626\) −4.20142 + 0.995754i −0.167922 + 0.0397983i
\(627\) 37.3574 + 40.1171i 1.49191 + 1.60212i
\(628\) −6.20284 8.33186i −0.247520 0.332478i
\(629\) −28.3363 + 10.3136i −1.12984 + 0.411229i
\(630\) −5.29101 + 8.89456i −0.210799 + 0.354368i
\(631\) −17.8744 6.50576i −0.711570 0.258990i −0.0392270 0.999230i \(-0.512490\pi\)
−0.672343 + 0.740240i \(0.734712\pi\)
\(632\) −4.81525 16.0841i −0.191540 0.639789i
\(633\) −4.11288 + 22.4682i −0.163472 + 0.893032i
\(634\) −1.89659 32.5632i −0.0753232 1.29325i
\(635\) 36.4475 23.9719i 1.44637 0.951295i
\(636\) 1.68565 + 2.96407i 0.0668403 + 0.117533i
\(637\) 2.26854 + 0.537655i 0.0898830 + 0.0213027i
\(638\) 5.03165 + 28.5359i 0.199205 + 1.12975i
\(639\) −23.0406 2.99790i −0.911470 0.118595i
\(640\) −0.402118 + 2.28052i −0.0158951 + 0.0901456i
\(641\) 3.51399 8.14633i 0.138794 0.321761i −0.834615 0.550833i \(-0.814310\pi\)
0.973409 + 0.229072i \(0.0735693\pi\)
\(642\) −17.9106 + 11.6135i −0.706876 + 0.458349i
\(643\) 12.9312 43.1932i 0.509957 1.70337i −0.183625 0.982996i \(-0.558783\pi\)
0.693582 0.720378i \(-0.256031\pi\)
\(644\) 2.59074 3.47997i 0.102089 0.137130i
\(645\) −0.715370 + 1.62914i −0.0281677 + 0.0641475i
\(646\) −42.2888 + 21.2382i −1.66383 + 0.835608i
\(647\) 3.10784 0.122182 0.0610909 0.998132i \(-0.480542\pi\)
0.0610909 + 0.998132i \(0.480542\pi\)
\(648\) −6.34468 + 6.38318i −0.249243 + 0.250755i
\(649\) −55.9006 −2.19429
\(650\) −0.157968 + 0.0793344i −0.00619601 + 0.00311175i
\(651\) 4.59633 0.506898i 0.180144 0.0198669i
\(652\) −3.94518 + 5.29930i −0.154505 + 0.207537i
\(653\) 11.3354 37.8629i 0.443588 1.48169i −0.385572 0.922678i \(-0.625996\pi\)
0.829161 0.559010i \(-0.188819\pi\)
\(654\) 1.70754 + 33.0229i 0.0667701 + 1.29130i
\(655\) −12.3116 + 28.5416i −0.481055 + 1.11521i
\(656\) −1.36766 + 7.75638i −0.0533981 + 0.302836i
\(657\) 26.8294 + 13.9150i 1.04671 + 0.542874i
\(658\) 2.02328 + 11.4746i 0.0788755 + 0.447325i
\(659\) −27.9731 6.62974i −1.08968 0.258258i −0.353764 0.935335i \(-0.615098\pi\)
−0.735913 + 0.677077i \(0.763247\pi\)
\(660\) −8.92194 + 15.2233i −0.347286 + 0.592567i
\(661\) 11.3890 7.49066i 0.442981 0.291353i −0.308357 0.951271i \(-0.599779\pi\)
0.751338 + 0.659918i \(0.229409\pi\)
\(662\) 0.556064 + 9.54726i 0.0216121 + 0.371065i
\(663\) 4.23287 + 3.59906i 0.164391 + 0.139776i
\(664\) 1.49344 + 4.98843i 0.0579566 + 0.193588i
\(665\) −23.3213 8.48826i −0.904362 0.329161i
\(666\) −10.4191 8.97663i −0.403733 0.347837i
\(667\) −18.0249 + 6.56051i −0.697926 + 0.254024i
\(668\) −4.12950 5.54687i −0.159775 0.214615i
\(669\) 3.60682 11.7680i 0.139448 0.454977i
\(670\) −8.60138 + 2.03856i −0.332300 + 0.0787566i
\(671\) −13.4382 31.1533i −0.518777 1.20266i
\(672\) 2.14651 + 1.43191i 0.0828034 + 0.0552370i
\(673\) 23.5724 + 15.5038i 0.908650 + 0.597629i 0.915487 0.402348i \(-0.131806\pi\)
−0.00683660 + 0.999977i \(0.502176\pi\)
\(674\) −8.31903 + 14.4090i −0.320437 + 0.555013i
\(675\) 1.82391 + 0.470110i 0.0702022 + 0.0180945i
\(676\) 6.38109 + 11.0524i 0.245427 + 0.425091i
\(677\) −0.00439596 + 0.0754757i −0.000168951 + 0.00290077i −0.998392 0.0566944i \(-0.981944\pi\)
0.998223 + 0.0595952i \(0.0189810\pi\)
\(678\) −3.91528 13.3950i −0.150365 0.514431i
\(679\) −2.08359 0.243536i −0.0799607 0.00934606i
\(680\) −10.4532 11.0797i −0.400862 0.424889i
\(681\) −2.33781 + 3.09788i −0.0895851 + 0.118711i
\(682\) 7.83074 0.915283i 0.299855 0.0350480i
\(683\) −14.4335 12.1112i −0.552283 0.463421i 0.323430 0.946252i \(-0.395164\pi\)
−0.875713 + 0.482831i \(0.839608\pi\)
\(684\) −17.8757 12.0937i −0.683495 0.462413i
\(685\) 9.40381 7.89073i 0.359301 0.301489i
\(686\) −12.0436 + 12.7654i −0.459826 + 0.487387i
\(687\) −20.7352 + 17.1699i −0.791097 + 0.655073i
\(688\) 0.396425 + 0.199092i 0.0151136 + 0.00759032i
\(689\) 0.857937 + 0.430872i 0.0326848 + 0.0164149i
\(690\) −10.9501 4.06649i −0.416862 0.154809i
\(691\) 16.9118 17.9255i 0.643357 0.681918i −0.320832 0.947136i \(-0.603962\pi\)
0.964189 + 0.265218i \(0.0854439\pi\)
\(692\) −9.70508 + 8.14353i −0.368932 + 0.309571i
\(693\) 11.5343 + 15.9223i 0.438153 + 0.604839i
\(694\) 19.1413 + 16.0614i 0.726592 + 0.609683i
\(695\) −41.5124 + 4.85210i −1.57465 + 0.184051i
\(696\) −4.45023 10.5045i −0.168686 0.398171i
\(697\) −35.5528 37.6838i −1.34666 1.42737i
\(698\) 20.3913 + 2.38340i 0.771821 + 0.0902130i
\(699\) −9.44173 + 9.87791i −0.357119 + 0.373617i
\(700\) 0.0313983 0.539088i 0.00118674 0.0203756i
\(701\) 1.67068 + 2.89370i 0.0631007 + 0.109294i 0.895850 0.444357i \(-0.146568\pi\)
−0.832749 + 0.553650i \(0.813234\pi\)
\(702\) −0.488715 + 2.48641i −0.0184454 + 0.0938434i
\(703\) 16.4898 28.5612i 0.621925 1.07721i
\(704\) 3.67554 + 2.41744i 0.138527 + 0.0911107i
\(705\) 28.1249 13.8961i 1.05924 0.523357i
\(706\) 7.16371 + 16.6074i 0.269610 + 0.625026i
\(707\) 14.5687 3.45285i 0.547914 0.129858i
\(708\) 21.4481 4.93593i 0.806071 0.185503i
\(709\) 6.61150 + 8.88078i 0.248300 + 0.333525i 0.908747 0.417348i \(-0.137040\pi\)
−0.660447 + 0.750873i \(0.729633\pi\)
\(710\) 16.8533 6.13411i 0.632495 0.230209i
\(711\) 8.09920 + 49.7127i 0.303744 + 1.86437i
\(712\) 2.91097 + 1.05951i 0.109093 + 0.0397067i
\(713\) 1.49686 + 4.99985i 0.0560577 + 0.187246i
\(714\) −15.9868 + 5.70103i −0.598291 + 0.213356i
\(715\) 0.288866 + 4.95964i 0.0108030 + 0.185480i
\(716\) −0.845952 + 0.556392i −0.0316147 + 0.0207933i
\(717\) 8.92956 + 0.0581848i 0.333481 + 0.00217295i
\(718\) 30.1342 + 7.14194i 1.12460 + 0.266535i
\(719\) −5.92011 33.5746i −0.220783 1.25212i −0.870585 0.492019i \(-0.836259\pi\)
0.649802 0.760104i \(-0.274852\pi\)
\(720\) 2.07901 6.62873i 0.0774802 0.247038i
\(721\) 0.433986 2.46125i 0.0161625 0.0916619i
\(722\) 12.9737 30.0764i 0.482832 1.11933i
\(723\) −3.20734 1.63704i −0.119282 0.0608823i
\(724\) 4.49076 15.0002i 0.166898 0.557477i
\(725\) −1.42573 + 1.91508i −0.0529502 + 0.0711244i
\(726\) 8.56442 + 11.6619i 0.317855 + 0.432813i
\(727\) 40.5032 20.3415i 1.50218 0.754423i 0.507919 0.861405i \(-0.330415\pi\)
0.994261 + 0.106981i \(0.0341185\pi\)
\(728\) 0.726488 0.0269254
\(729\) 21.3457 16.5336i 0.790583 0.612355i
\(730\) −23.3293 −0.863457
\(731\) −2.60766 + 1.30961i −0.0964477 + 0.0484379i
\(732\) 7.90681 + 10.7664i 0.292244 + 0.397939i
\(733\) −1.17522 + 1.57859i −0.0434077 + 0.0583067i −0.823297 0.567611i \(-0.807868\pi\)
0.779889 + 0.625917i \(0.215275\pi\)
\(734\) −2.29807 + 7.67608i −0.0848232 + 0.283329i
\(735\) 17.0790 + 8.71721i 0.629969 + 0.321539i
\(736\) −1.15348 + 2.67407i −0.0425178 + 0.0985674i
\(737\) −2.91611 + 16.5381i −0.107416 + 0.609188i
\(738\) 7.07101 22.5453i 0.260288 0.829902i
\(739\) 5.15688 + 29.2461i 0.189699 + 1.07584i 0.919768 + 0.392463i \(0.128377\pi\)
−0.730069 + 0.683373i \(0.760512\pi\)
\(740\) 10.3296 + 2.44816i 0.379724 + 0.0899963i
\(741\) −6.07646 0.0395940i −0.223224 0.00145452i
\(742\) −2.45031 + 1.61160i −0.0899539 + 0.0591636i
\(743\) −0.258982 4.44654i −0.00950111 0.163128i −0.999721 0.0236135i \(-0.992483\pi\)
0.990220 0.139514i \(-0.0445541\pi\)
\(744\) −2.92371 + 1.04262i −0.107188 + 0.0382243i
\(745\) 11.7640 + 39.2946i 0.431001 + 1.43964i
\(746\) −20.9973 7.64238i −0.768765 0.279807i
\(747\) −2.51195 15.4183i −0.0919073 0.564125i
\(748\) −27.1929 + 9.89742i −0.994272 + 0.361885i
\(749\) −10.9637 14.7268i −0.400606 0.538107i
\(750\) 18.1269 4.17159i 0.661900 0.152325i
\(751\) 12.0048 2.84520i 0.438063 0.103823i −0.00566597 0.999984i \(-0.501804\pi\)
0.443729 + 0.896161i \(0.353655\pi\)
\(752\) −3.09785 7.18163i −0.112967 0.261887i
\(753\) 34.4136 17.0033i 1.25410 0.619634i
\(754\) −2.68362 1.76504i −0.0977316 0.0642791i
\(755\) −2.76990 + 4.79760i −0.100807 + 0.174603i
\(756\) −5.83144 5.09068i −0.212088 0.185146i
\(757\) −11.3233 19.6125i −0.411551 0.712827i 0.583509 0.812107i \(-0.301679\pi\)
−0.995060 + 0.0992801i \(0.968346\pi\)
\(758\) 1.18462 20.3392i 0.0430275 0.738753i
\(759\) −15.3330 + 16.0413i −0.556551 + 0.582262i
\(760\) 16.5468 + 1.93404i 0.600215 + 0.0701551i
\(761\) −7.24273 7.67684i −0.262549 0.278285i 0.582667 0.812711i \(-0.302009\pi\)
−0.845215 + 0.534426i \(0.820528\pi\)
\(762\) 12.7282 + 30.0441i 0.461095 + 1.08838i
\(763\) −28.2484 + 3.30177i −1.02266 + 0.119532i
\(764\) 3.39160 + 2.84589i 0.122704 + 0.102961i
\(765\) 26.8087 + 37.0076i 0.969272 + 1.33801i
\(766\) 1.93675 1.62513i 0.0699776 0.0587182i
\(767\) 4.25240 4.50728i 0.153545 0.162748i
\(768\) −1.62370 0.602989i −0.0585903 0.0217585i
\(769\) −36.5243 18.3432i −1.31710 0.661473i −0.355179 0.934798i \(-0.615580\pi\)
−0.961922 + 0.273326i \(0.911876\pi\)
\(770\) −13.5622 6.81119i −0.488747 0.245458i
\(771\) 14.9943 12.4161i 0.540007 0.447156i
\(772\) −13.0400 + 13.8216i −0.469319 + 0.497449i
\(773\) 24.8151 20.8223i 0.892537 0.748928i −0.0761803 0.997094i \(-0.524272\pi\)
0.968717 + 0.248167i \(0.0798280\pi\)
\(774\) −1.10227 0.745732i −0.0396203 0.0268048i
\(775\) 0.497634 + 0.417565i 0.0178756 + 0.0149994i
\(776\) 1.39864 0.163477i 0.0502081 0.00586848i
\(777\) 7.12526 9.44182i 0.255617 0.338723i
\(778\) 10.8838 + 11.5361i 0.390202 + 0.413590i
\(779\) 56.2780 + 6.57795i 2.01637 + 0.235680i
\(780\) −0.548761 1.87743i −0.0196488 0.0672227i
\(781\) 1.98111 34.0144i 0.0708898 1.21713i
\(782\) −9.57826 16.5900i −0.342518 0.593258i
\(783\) 9.17303 + 32.9726i 0.327817 + 1.17834i
\(784\) 2.39036 4.14022i 0.0853699 0.147865i
\(785\) −20.0967 13.2178i −0.717281 0.471763i
\(786\) −19.3409 12.9020i −0.689866 0.460199i
\(787\) 4.22566 + 9.79619i 0.150629 + 0.349196i 0.976778 0.214255i \(-0.0687324\pi\)
−0.826149 + 0.563452i \(0.809473\pi\)
\(788\) −22.0602 + 5.22836i −0.785861 + 0.186252i
\(789\) −0.653797 + 2.13315i −0.0232758 + 0.0759421i
\(790\) −23.2171 31.1859i −0.826026 1.10955i
\(791\) 11.2791 4.10527i 0.401040 0.145967i
\(792\) −9.99871 8.61443i −0.355289 0.306100i
\(793\) 3.53416 + 1.28633i 0.125502 + 0.0456788i
\(794\) −8.57548 28.6441i −0.304333 1.01654i
\(795\) 6.01565 + 5.11489i 0.213353 + 0.181406i
\(796\) 0.219127 + 3.76227i 0.00776675 + 0.133350i
\(797\) 15.7578 10.3641i 0.558169 0.367114i −0.238860 0.971054i \(-0.576774\pi\)
0.797030 + 0.603940i \(0.206403\pi\)
\(798\) 9.38598 16.0151i 0.332260 0.566928i
\(799\) 50.0611 + 11.8647i 1.77103 + 0.419743i
\(800\) 0.0629446 + 0.356976i 0.00222543 + 0.0126210i
\(801\) −8.24981 4.27873i −0.291493 0.151181i
\(802\) −1.62298 + 9.20438i −0.0573095 + 0.325018i
\(803\) −17.5543 + 40.6954i −0.619477 + 1.43611i
\(804\) −0.341420 6.60288i −0.0120410 0.232866i
\(805\) 2.88138 9.62449i 0.101555 0.339219i
\(806\) −0.521891 + 0.701021i −0.0183828 + 0.0246924i
\(807\) −28.8419 + 3.18078i −1.01528 + 0.111969i
\(808\) −8.98134 + 4.51060i −0.315963 + 0.158682i
\(809\) 42.8188 1.50543 0.752715 0.658347i \(-0.228744\pi\)
0.752715 + 0.658347i \(0.228744\pi\)
\(810\) −8.75074 + 18.9152i −0.307470 + 0.664613i
\(811\) 12.5236 0.439761 0.219881 0.975527i \(-0.429433\pi\)
0.219881 + 0.975527i \(0.429433\pi\)
\(812\) 8.76848 4.40370i 0.307713 0.154540i
\(813\) 19.4312 44.2516i 0.681483 1.55197i
\(814\) 12.0431 16.1767i 0.422111 0.566994i
\(815\) −4.38777 + 14.6562i −0.153697 + 0.513384i
\(816\) 9.55956 6.19857i 0.334652 0.216993i
\(817\) 1.26404 2.93039i 0.0442233 0.102521i
\(818\) −0.110308 + 0.625588i −0.00385683 + 0.0218732i
\(819\) −2.16125 0.281208i −0.0755200 0.00982621i
\(820\) 3.16709 + 17.9615i 0.110600 + 0.627242i
\(821\) 21.5050 + 5.09678i 0.750530 + 0.177879i 0.588041 0.808831i \(-0.299899\pi\)
0.162490 + 0.986710i \(0.448048\pi\)
\(822\) 4.53899 + 7.98141i 0.158315 + 0.278384i
\(823\) −0.0154692 + 0.0101742i −0.000539222 + 0.000354652i −0.549779 0.835310i \(-0.685288\pi\)
0.549239 + 0.835665i \(0.314918\pi\)
\(824\) 0.0975460 + 1.67480i 0.00339818 + 0.0583444i
\(825\) −0.497336 + 2.71689i −0.0173150 + 0.0945901i
\(826\) 5.42908 + 18.1344i 0.188902 + 0.630976i
\(827\) −5.05612 1.84028i −0.175819 0.0639927i 0.252611 0.967568i \(-0.418711\pi\)
−0.428429 + 0.903575i \(0.640933\pi\)
\(828\) 4.46659 7.50866i 0.155225 0.260944i
\(829\) −21.3345 + 7.76512i −0.740978 + 0.269694i −0.684804 0.728727i \(-0.740112\pi\)
−0.0561737 + 0.998421i \(0.517890\pi\)
\(830\) 7.20071 + 9.67224i 0.249940 + 0.335728i
\(831\) 3.71825 + 3.99292i 0.128985 + 0.138513i
\(832\) −0.474520 + 0.112463i −0.0164510 + 0.00389896i
\(833\) 12.4556 + 28.8753i 0.431561 + 1.00047i
\(834\) 2.02097 31.1955i 0.0699804 1.08021i
\(835\) −13.3792 8.79964i −0.463007 0.304524i
\(836\) 15.8244 27.4087i 0.547300 0.947951i
\(837\) 9.10139 1.97001i 0.314590 0.0680935i
\(838\) 3.42733 + 5.93630i 0.118395 + 0.205066i
\(839\) 1.28480 22.0592i 0.0443564 0.761569i −0.900656 0.434534i \(-0.856913\pi\)
0.945012 0.327036i \(-0.106050\pi\)
\(840\) 5.80501 + 1.41582i 0.200292 + 0.0488506i
\(841\) −14.2855 1.66974i −0.492605 0.0575772i
\(842\) 15.3755 + 16.2971i 0.529876 + 0.561636i
\(843\) −1.89599 0.234142i −0.0653014 0.00806428i
\(844\) 13.0984 1.53099i 0.450866 0.0526987i
\(845\) 22.6392 + 18.9966i 0.778814 + 0.653502i
\(846\) 6.43602 + 22.5639i 0.221275 + 0.775763i
\(847\) −9.53313 + 7.99924i −0.327562 + 0.274857i
\(848\) 1.35099 1.43197i 0.0463932 0.0491739i
\(849\) 9.14233 + 53.9001i 0.313764 + 1.84985i
\(850\) −2.13077 1.07011i −0.0730847 0.0367045i
\(851\) 11.9304 + 5.99167i 0.408968 + 0.205392i
\(852\) 2.24329 + 13.2257i 0.0768539 + 0.453105i
\(853\) −5.27828 + 5.59465i −0.180725 + 0.191557i −0.811403 0.584488i \(-0.801295\pi\)
0.630678 + 0.776045i \(0.282777\pi\)
\(854\) −8.80114 + 7.38503i −0.301169 + 0.252711i
\(855\) −48.4768 12.1585i −1.65787 0.415814i
\(856\) 9.44095 + 7.92190i 0.322685 + 0.270765i
\(857\) −17.3892 + 2.03251i −0.594004 + 0.0694291i −0.407783 0.913079i \(-0.633698\pi\)
−0.186221 + 0.982508i \(0.559624\pi\)
\(858\) −3.68788 0.455428i −0.125902 0.0155481i
\(859\) −5.20412 5.51605i −0.177562 0.188205i 0.632480 0.774577i \(-0.282037\pi\)
−0.810042 + 0.586372i \(0.800556\pi\)
\(860\) 1.02033 + 0.119259i 0.0347928 + 0.00406670i
\(861\) 19.7437 + 4.81542i 0.672862 + 0.164109i
\(862\) 0.886941 15.2282i 0.0302093 0.518674i
\(863\) 13.9025 + 24.0798i 0.473245 + 0.819685i 0.999531 0.0306232i \(-0.00974918\pi\)
−0.526286 + 0.850308i \(0.676416\pi\)
\(864\) 4.59698 + 2.42235i 0.156392 + 0.0824099i
\(865\) −14.6689 + 25.4073i −0.498758 + 0.863875i
\(866\) 14.7602 + 9.70792i 0.501571 + 0.329888i
\(867\) −2.94147 + 45.4043i −0.0998975 + 1.54201i
\(868\) −1.05745 2.45143i −0.0358920 0.0832071i
\(869\) −71.8702 + 17.0335i −2.43803 + 0.577824i
\(870\) −18.0036 19.3336i −0.610381 0.655470i
\(871\) −1.11164 1.49319i −0.0376664 0.0505948i
\(872\) 17.9399 6.52959i 0.607522 0.221120i
\(873\) −4.22411 0.0550507i −0.142965 0.00186318i
\(874\) 19.6875 + 7.16567i 0.665940 + 0.242382i
\(875\) 4.58838 + 15.3263i 0.155116 + 0.518122i
\(876\) 3.14196 17.1642i 0.106157 0.579924i
\(877\) −2.12328 36.4552i −0.0716979 1.23101i −0.821836 0.569725i \(-0.807050\pi\)
0.750138 0.661282i \(-0.229987\pi\)
\(878\) 19.9030 13.0904i 0.671693 0.441779i
\(879\) −24.3200 42.7647i −0.820295 1.44242i
\(880\) 9.91281 + 2.34938i 0.334161 + 0.0791976i
\(881\) 6.68482 + 37.9115i 0.225217 + 1.27727i 0.862269 + 0.506450i \(0.169043\pi\)
−0.637052 + 0.770821i \(0.719846\pi\)
\(882\) −8.71372 + 11.3916i −0.293406 + 0.383574i
\(883\) 1.47794 8.38181i 0.0497366 0.282070i −0.949788 0.312893i \(-0.898702\pi\)
0.999525 + 0.0308231i \(0.00981285\pi\)
\(884\) 1.27055 2.94548i 0.0427334 0.0990671i
\(885\) 42.7629 27.7281i 1.43746 0.932071i
\(886\) 4.23449 14.1442i 0.142261 0.475184i
\(887\) 23.2390 31.2154i 0.780289 1.04811i −0.217118 0.976145i \(-0.569666\pi\)
0.997407 0.0719647i \(-0.0229269\pi\)
\(888\) −3.19237 + 7.27013i −0.107129 + 0.243970i
\(889\) −25.0790 + 12.5951i −0.841123 + 0.422428i
\(890\) 7.17357 0.240459
\(891\) 26.4109 + 29.4976i 0.884800 + 0.988205i
\(892\) −7.10621 −0.237933
\(893\) −50.2822 + 25.2527i −1.68263 + 0.845049i
\(894\) −30.4947 + 3.36306i −1.01990 + 0.112478i
\(895\) −1.40016 + 1.88074i −0.0468023 + 0.0628663i
\(896\) 0.427259 1.42714i 0.0142737 0.0476775i
\(897\) −0.127024 2.45657i −0.00424121 0.0820226i
\(898\) −4.27382 + 9.90783i −0.142619 + 0.330629i
\(899\) −2.04973 + 11.6246i −0.0683624 + 0.387703i
\(900\) −0.0490772 1.08634i −0.00163591 0.0362114i
\(901\) 2.24871 + 12.7531i 0.0749155 + 0.424867i
\(902\) 33.7149 + 7.99058i 1.12258 + 0.266057i
\(903\) 0.578768 0.987539i 0.0192602 0.0328632i
\(904\) −6.73169 + 4.42750i −0.223893 + 0.147256i
\(905\) −2.10829 36.1979i −0.0700818 1.20326i
\(906\) −3.15671 2.68404i −0.104875 0.0891712i
\(907\) 0.490184 + 1.63733i 0.0162763 + 0.0543666i 0.965742 0.259504i \(-0.0835592\pi\)
−0.949466 + 0.313871i \(0.898374\pi\)
\(908\) 2.10557 + 0.766364i 0.0698757 + 0.0254327i
\(909\) 28.4648 9.94220i 0.944117 0.329762i
\(910\) 1.58087 0.575391i 0.0524055 0.0190740i
\(911\) −9.37413 12.5916i −0.310579 0.417180i 0.619238 0.785204i \(-0.287442\pi\)
−0.929816 + 0.368024i \(0.880034\pi\)
\(912\) −3.65144 + 11.9136i −0.120911 + 0.394497i
\(913\) 22.2903 5.28291i 0.737703 0.174839i
\(914\) 11.9502 + 27.7037i 0.395278 + 0.916357i
\(915\) 25.7328 + 17.1660i 0.850701 + 0.567490i
\(916\) 12.9860 + 8.54101i 0.429069 + 0.282203i
\(917\) 9.99831 17.3176i 0.330173 0.571877i
\(918\) −30.8383 + 14.7400i −1.01782 + 0.486491i
\(919\) −11.2459 19.4785i −0.370969 0.642537i 0.618746 0.785591i \(-0.287641\pi\)
−0.989715 + 0.143054i \(0.954308\pi\)
\(920\) −0.392122 + 6.73248i −0.0129279 + 0.221963i
\(921\) −14.5089 49.6379i −0.478084 1.63563i
\(922\) −20.1958 2.36055i −0.665112 0.0777405i
\(923\) 2.59189 + 2.74724i 0.0853130 + 0.0904265i
\(924\) 6.83776 9.06084i 0.224946 0.298080i
\(925\) 1.65048 0.192913i 0.0542674 0.00634294i
\(926\) 16.1719 + 13.5699i 0.531442 + 0.445933i
\(927\) 0.358088 5.02016i 0.0117612 0.164884i
\(928\) −5.04560 + 4.23376i −0.165630 + 0.138980i
\(929\) 37.6794 39.9379i 1.23622 1.31032i 0.302138 0.953264i \(-0.402300\pi\)
0.934084 0.357055i \(-0.116219\pi\)
\(930\) −5.53637 + 4.58442i −0.181545 + 0.150329i
\(931\) −30.7347 15.4356i −1.00729 0.505880i
\(932\) 7.05007 + 3.54068i 0.230933 + 0.115979i
\(933\) 2.95788 + 1.09846i 0.0968365 + 0.0359619i
\(934\) 11.8546 12.5652i 0.387896 0.411146i
\(935\) −51.3342 + 43.0745i −1.67881 + 1.40869i
\(936\) 1.45519 0.150893i 0.0475645 0.00493209i
\(937\) −7.52251 6.31214i −0.245750 0.206209i 0.511590 0.859230i \(-0.329057\pi\)
−0.757340 + 0.653021i \(0.773501\pi\)
\(938\) 5.64823 0.660184i 0.184421 0.0215558i
\(939\) −2.91734 6.88617i −0.0952037 0.224722i
\(940\) −12.4291 13.1740i −0.405391 0.429689i
\(941\) −22.4201 2.62054i −0.730875 0.0854271i −0.257488 0.966281i \(-0.582895\pi\)
−0.473387 + 0.880854i \(0.656969\pi\)
\(942\) 12.4314 13.0056i 0.405036 0.423747i
\(943\) −1.33366 + 22.8981i −0.0434301 + 0.745665i
\(944\) −6.35339 11.0044i −0.206785 0.358162i
\(945\) −16.7214 6.45896i −0.543948 0.210110i
\(946\) 0.975784 1.69011i 0.0317255 0.0549501i
\(947\) −36.6967 24.1358i −1.19248 0.784308i −0.211305 0.977420i \(-0.567771\pi\)
−0.981177 + 0.193112i \(0.938142\pi\)
\(948\) 26.0714 12.8815i 0.846759 0.418372i
\(949\) −1.94591 4.51113i −0.0631670 0.146438i
\(950\) 2.53745 0.601388i 0.0823259 0.0195116i
\(951\) 55.0575 12.6706i 1.78536 0.410871i
\(952\) 5.85175 + 7.86026i 0.189656 + 0.254753i
\(953\) −26.3447 + 9.58870i −0.853389 + 0.310608i −0.731421 0.681926i \(-0.761143\pi\)
−0.121968 + 0.992534i \(0.538921\pi\)
\(954\) −4.57338 + 3.73705i −0.148068 + 0.120991i
\(955\) 9.63427 + 3.50659i 0.311758 + 0.113471i
\(956\) −1.47864 4.93901i −0.0478227 0.159739i
\(957\) −47.2722 + 16.8577i −1.52809 + 0.544931i
\(958\) 1.24251 + 21.3331i 0.0401438 + 0.689242i
\(959\) −6.59802 + 4.33959i −0.213061 + 0.140133i
\(960\) −4.01083 0.0261345i −0.129449 0.000843486i
\(961\) −27.0392 6.40842i −0.872234 0.206723i
\(962\) 0.388204 + 2.20161i 0.0125162 + 0.0709829i
\(963\) −25.0197 27.2214i −0.806249 0.877199i
\(964\) −0.361018 + 2.04743i −0.0116276 + 0.0659434i
\(965\) −17.4287 + 40.4043i −0.561050 + 1.30066i
\(966\) 6.69300 + 3.41614i 0.215344 + 0.109913i
\(967\) 4.56167 15.2370i 0.146693 0.489990i −0.852786 0.522261i \(-0.825089\pi\)
0.999479 + 0.0322708i \(0.0102739\pi\)
\(968\) 4.98844 6.70063i 0.160334 0.215366i
\(969\) −48.5165 66.0634i −1.55858 2.12226i
\(970\) 2.91402 1.46348i 0.0935637 0.0469894i
\(971\) 15.4071 0.494438 0.247219 0.968960i \(-0.420483\pi\)
0.247219 + 0.968960i \(0.420483\pi\)
\(972\) −12.7380 8.98569i −0.408572 0.288216i
\(973\) 26.8873 0.861969
\(974\) −10.0079 + 5.02617i −0.320674 + 0.161049i
\(975\) −0.181231 0.246776i −0.00580404 0.00790317i
\(976\) 4.60541 6.18613i 0.147415 0.198013i
\(977\) −8.32046 + 27.7923i −0.266195 + 0.889154i 0.715487 + 0.698626i \(0.246205\pi\)
−0.981682 + 0.190527i \(0.938980\pi\)
\(978\) −10.1921 5.20211i −0.325908 0.166345i
\(979\) 5.39779 12.5135i 0.172514 0.399933i
\(980\) 1.92241 10.9025i 0.0614091 0.348268i
\(981\) −55.8973 + 12.4809i −1.78466 + 0.398484i
\(982\) 1.56112 + 8.85355i 0.0498173 + 0.282528i
\(983\) −28.8192 6.83027i −0.919189 0.217852i −0.256324 0.966591i \(-0.582511\pi\)
−0.662865 + 0.748739i \(0.730660\pi\)
\(984\) −13.6414 0.0888870i −0.434872 0.00283361i
\(985\) −43.8631 + 28.8492i −1.39759 + 0.919212i
\(986\) −2.51918 43.2526i −0.0802270 1.37744i
\(987\) −19.0086 + 6.77864i −0.605051 + 0.215766i
\(988\) 1.00620 + 3.36093i 0.0320114 + 0.106926i
\(989\) 1.21399 + 0.441857i 0.0386027 + 0.0140502i
\(990\) −28.5805 10.8263i −0.908347 0.344081i
\(991\) −34.5253 + 12.5662i −1.09673 + 0.399178i −0.826111 0.563508i \(-0.809452\pi\)
−0.270622 + 0.962686i \(0.587229\pi\)
\(992\) 1.07018 + 1.43751i 0.0339784 + 0.0456408i
\(993\) −16.1424 + 3.71490i −0.512264 + 0.117889i
\(994\) −11.2268 + 2.66081i −0.356093 + 0.0843956i
\(995\) 3.45661 + 8.01332i 0.109582 + 0.254039i
\(996\) −8.08597 + 3.99516i −0.256214 + 0.126592i
\(997\) 30.2226 + 19.8777i 0.957158 + 0.629533i 0.929004 0.370071i \(-0.120667\pi\)
0.0281546 + 0.999604i \(0.491037\pi\)
\(998\) −0.772519 + 1.33804i −0.0244537 + 0.0423550i
\(999\) 12.3112 20.3924i 0.389508 0.645186i
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 162.2.g.b.25.4 yes 90
3.2 odd 2 486.2.g.b.73.2 90
81.13 even 27 inner 162.2.g.b.13.4 90
81.68 odd 54 486.2.g.b.253.2 90
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
162.2.g.b.13.4 90 81.13 even 27 inner
162.2.g.b.25.4 yes 90 1.1 even 1 trivial
486.2.g.b.73.2 90 3.2 odd 2
486.2.g.b.253.2 90 81.68 odd 54