Properties

Label 230.2.g.d.101.3
Level $230$
Weight $2$
Character 230.101
Analytic conductor $1.837$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,2,Mod(31,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 101.3
Character \(\chi\) \(=\) 230.101
Dual form 230.2.g.d.41.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(2.00799 + 2.31734i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.142315 + 0.989821i) q^{5} +(-2.57952 - 1.65776i) q^{6} +(0.414762 - 0.908202i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.911115 + 6.33694i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(2.00799 + 2.31734i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.142315 + 0.989821i) q^{5} +(-2.57952 - 1.65776i) q^{6} +(0.414762 - 0.908202i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.911115 + 6.33694i) q^{9} +(-0.415415 - 0.909632i) q^{10} +(4.67469 + 1.37261i) q^{11} +(2.94208 + 0.863872i) q^{12} +(-2.42639 - 5.31304i) q^{13} +(-0.142091 + 0.988265i) q^{14} +(-2.00799 + 2.31734i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-3.46855 - 2.22910i) q^{17} +(-0.911115 - 6.33694i) q^{18} +(-5.79427 + 3.72375i) q^{19} +(0.654861 + 0.755750i) q^{20} +(2.93745 - 0.862514i) q^{21} -4.87205 q^{22} +(4.02440 - 2.60849i) q^{23} -3.06629 q^{24} +(-0.959493 + 0.281733i) q^{25} +(3.82496 + 4.41424i) q^{26} +(-8.77581 + 5.63987i) q^{27} +(-0.142091 - 0.988265i) q^{28} +(3.04872 + 1.95929i) q^{29} +(1.27378 - 2.78919i) q^{30} +(1.09711 - 1.26614i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(6.20592 + 13.5891i) q^{33} +(3.95606 + 1.16160i) q^{34} +(0.957984 + 0.281290i) q^{35} +(2.65953 + 5.82356i) q^{36} +(-0.00888332 + 0.0617849i) q^{37} +(4.51046 - 5.20535i) q^{38} +(7.43999 - 16.2913i) q^{39} +(-0.841254 - 0.540641i) q^{40} +(-0.409905 - 2.85095i) q^{41} +(-2.57547 + 1.65515i) q^{42} +(-5.13385 - 5.92477i) q^{43} +(4.67469 - 1.37261i) q^{44} -6.40210 q^{45} +(-3.12649 + 3.63663i) q^{46} +5.30601 q^{47} +(2.94208 - 0.863872i) q^{48} +(3.93122 + 4.53687i) q^{49} +(0.841254 - 0.540641i) q^{50} +(-1.79922 - 12.5138i) q^{51} +(-4.91365 - 3.15781i) q^{52} +(-1.43283 + 3.13746i) q^{53} +(6.83139 - 7.88385i) q^{54} +(-0.693364 + 4.82246i) q^{55} +(0.414762 + 0.908202i) q^{56} +(-20.2640 - 5.95006i) q^{57} +(-3.47722 - 1.02100i) q^{58} +(-4.84544 - 10.6100i) q^{59} +(-0.436378 + 3.03507i) q^{60} +(-0.283578 + 0.327266i) q^{61} +(-0.695961 + 1.52394i) q^{62} +(5.37732 + 3.45580i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(4.91365 - 3.15781i) q^{65} +(-9.78302 - 11.2902i) q^{66} +(4.86653 - 1.42894i) q^{67} -4.12307 q^{68} +(14.1257 + 4.08810i) q^{69} -0.998427 q^{70} +(7.68672 - 2.25702i) q^{71} +(-4.19249 - 4.83839i) q^{72} +(9.16147 - 5.88772i) q^{73} +(-0.00888332 - 0.0617849i) q^{74} +(-2.57952 - 1.65776i) q^{75} +(-2.86124 + 6.26524i) q^{76} +(3.18549 - 3.67626i) q^{77} +(-2.54883 + 17.7275i) q^{78} +(-6.44266 - 14.1075i) q^{79} +(0.959493 + 0.281733i) q^{80} +(-12.2629 - 3.60072i) q^{81} +(1.19651 + 2.61999i) q^{82} +(-0.929434 + 6.46436i) q^{83} +(2.00483 - 2.31370i) q^{84} +(1.71279 - 3.75048i) q^{85} +(6.59509 + 4.23841i) q^{86} +(1.58144 + 10.9992i) q^{87} +(-4.09863 + 2.63403i) q^{88} +(4.28672 + 4.94714i) q^{89} +(6.14277 - 1.80368i) q^{90} -5.83169 q^{91} +(1.97529 - 4.37015i) q^{92} +5.13707 q^{93} +(-5.09108 + 1.49488i) q^{94} +(-4.51046 - 5.20535i) q^{95} +(-2.57952 + 1.65776i) q^{96} +(0.140212 + 0.975199i) q^{97} +(-5.05016 - 3.24554i) q^{98} +(-12.9574 + 28.3726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) 2.00799 + 2.31734i 1.15931 + 1.33792i 0.931297 + 0.364262i \(0.118679\pi\)
0.228017 + 0.973657i \(0.426776\pi\)
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.142315 + 0.989821i 0.0636451 + 0.442662i
\(6\) −2.57952 1.65776i −1.05309 0.676777i
\(7\) 0.414762 0.908202i 0.156765 0.343268i −0.814910 0.579587i \(-0.803214\pi\)
0.971675 + 0.236319i \(0.0759411\pi\)
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) −0.911115 + 6.33694i −0.303705 + 2.11231i
\(10\) −0.415415 0.909632i −0.131366 0.287651i
\(11\) 4.67469 + 1.37261i 1.40947 + 0.413859i 0.895926 0.444203i \(-0.146513\pi\)
0.513547 + 0.858061i \(0.328331\pi\)
\(12\) 2.94208 + 0.863872i 0.849305 + 0.249378i
\(13\) −2.42639 5.31304i −0.672958 1.47357i −0.869936 0.493165i \(-0.835840\pi\)
0.196977 0.980408i \(-0.436888\pi\)
\(14\) −0.142091 + 0.988265i −0.0379754 + 0.264125i
\(15\) −2.00799 + 2.31734i −0.518461 + 0.598336i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −3.46855 2.22910i −0.841246 0.540636i 0.0475868 0.998867i \(-0.484847\pi\)
−0.888833 + 0.458231i \(0.848483\pi\)
\(18\) −0.911115 6.33694i −0.214752 1.49363i
\(19\) −5.79427 + 3.72375i −1.32930 + 0.854287i −0.996071 0.0885599i \(-0.971774\pi\)
−0.333226 + 0.942847i \(0.608137\pi\)
\(20\) 0.654861 + 0.755750i 0.146431 + 0.168991i
\(21\) 2.93745 0.862514i 0.641005 0.188216i
\(22\) −4.87205 −1.03872
\(23\) 4.02440 2.60849i 0.839145 0.543907i
\(24\) −3.06629 −0.625903
\(25\) −0.959493 + 0.281733i −0.191899 + 0.0563465i
\(26\) 3.82496 + 4.41424i 0.750136 + 0.865703i
\(27\) −8.77581 + 5.63987i −1.68891 + 1.08539i
\(28\) −0.142091 0.988265i −0.0268527 0.186765i
\(29\) 3.04872 + 1.95929i 0.566133 + 0.363832i 0.792183 0.610284i \(-0.208945\pi\)
−0.226050 + 0.974116i \(0.572581\pi\)
\(30\) 1.27378 2.78919i 0.232560 0.509234i
\(31\) 1.09711 1.26614i 0.197047 0.227405i −0.648624 0.761109i \(-0.724655\pi\)
0.845671 + 0.533704i \(0.179201\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) 6.20592 + 13.5891i 1.08031 + 2.36555i
\(34\) 3.95606 + 1.16160i 0.678458 + 0.199213i
\(35\) 0.957984 + 0.281290i 0.161929 + 0.0475466i
\(36\) 2.65953 + 5.82356i 0.443255 + 0.970593i
\(37\) −0.00888332 + 0.0617849i −0.00146041 + 0.0101574i −0.990539 0.137234i \(-0.956179\pi\)
0.989078 + 0.147392i \(0.0470878\pi\)
\(38\) 4.51046 5.20535i 0.731693 0.844419i
\(39\) 7.43999 16.2913i 1.19135 2.60870i
\(40\) −0.841254 0.540641i −0.133014 0.0854828i
\(41\) −0.409905 2.85095i −0.0640165 0.445244i −0.996470 0.0839535i \(-0.973245\pi\)
0.932453 0.361291i \(-0.117664\pi\)
\(42\) −2.57547 + 1.65515i −0.397403 + 0.255395i
\(43\) −5.13385 5.92477i −0.782904 0.903520i 0.214411 0.976743i \(-0.431217\pi\)
−0.997316 + 0.0732239i \(0.976671\pi\)
\(44\) 4.67469 1.37261i 0.704737 0.206929i
\(45\) −6.40210 −0.954369
\(46\) −3.12649 + 3.63663i −0.460975 + 0.536192i
\(47\) 5.30601 0.773962 0.386981 0.922088i \(-0.373518\pi\)
0.386981 + 0.922088i \(0.373518\pi\)
\(48\) 2.94208 0.863872i 0.424653 0.124689i
\(49\) 3.93122 + 4.53687i 0.561603 + 0.648125i
\(50\) 0.841254 0.540641i 0.118971 0.0764582i
\(51\) −1.79922 12.5138i −0.251941 1.75229i
\(52\) −4.91365 3.15781i −0.681401 0.437910i
\(53\) −1.43283 + 3.13746i −0.196814 + 0.430963i −0.982148 0.188110i \(-0.939764\pi\)
0.785334 + 0.619072i \(0.212491\pi\)
\(54\) 6.83139 7.88385i 0.929635 1.07286i
\(55\) −0.693364 + 4.82246i −0.0934932 + 0.650260i
\(56\) 0.414762 + 0.908202i 0.0554249 + 0.121364i
\(57\) −20.2640 5.95006i −2.68404 0.788105i
\(58\) −3.47722 1.02100i −0.456582 0.134064i
\(59\) −4.84544 10.6100i −0.630823 1.38131i −0.907380 0.420312i \(-0.861921\pi\)
0.276557 0.960998i \(-0.410807\pi\)
\(60\) −0.436378 + 3.03507i −0.0563361 + 0.391826i
\(61\) −0.283578 + 0.327266i −0.0363084 + 0.0419021i −0.773613 0.633658i \(-0.781553\pi\)
0.737305 + 0.675560i \(0.236098\pi\)
\(62\) −0.695961 + 1.52394i −0.0883871 + 0.193541i
\(63\) 5.37732 + 3.45580i 0.677479 + 0.435389i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) 4.91365 3.15781i 0.609464 0.391679i
\(66\) −9.78302 11.2902i −1.20421 1.38973i
\(67\) 4.86653 1.42894i 0.594542 0.174573i 0.0294009 0.999568i \(-0.490640\pi\)
0.565141 + 0.824995i \(0.308822\pi\)
\(68\) −4.12307 −0.499996
\(69\) 14.1257 + 4.08810i 1.70054 + 0.492150i
\(70\) −0.998427 −0.119335
\(71\) 7.68672 2.25702i 0.912245 0.267859i 0.208260 0.978074i \(-0.433220\pi\)
0.703986 + 0.710214i \(0.251402\pi\)
\(72\) −4.19249 4.83839i −0.494089 0.570209i
\(73\) 9.16147 5.88772i 1.07227 0.689106i 0.119510 0.992833i \(-0.461868\pi\)
0.952759 + 0.303727i \(0.0982312\pi\)
\(74\) −0.00888332 0.0617849i −0.00103267 0.00718234i
\(75\) −2.57952 1.65776i −0.297858 0.191422i
\(76\) −2.86124 + 6.26524i −0.328207 + 0.718672i
\(77\) 3.18549 3.67626i 0.363021 0.418948i
\(78\) −2.54883 + 17.7275i −0.288598 + 2.00724i
\(79\) −6.44266 14.1075i −0.724856 1.58721i −0.806971 0.590591i \(-0.798895\pi\)
0.0821146 0.996623i \(-0.473833\pi\)
\(80\) 0.959493 + 0.281733i 0.107275 + 0.0314987i
\(81\) −12.2629 3.60072i −1.36255 0.400080i
\(82\) 1.19651 + 2.61999i 0.132132 + 0.289329i
\(83\) −0.929434 + 6.46436i −0.102019 + 0.709555i 0.873047 + 0.487637i \(0.162141\pi\)
−0.975065 + 0.221919i \(0.928768\pi\)
\(84\) 2.00483 2.31370i 0.218745 0.252445i
\(85\) 1.71279 3.75048i 0.185778 0.406796i
\(86\) 6.59509 + 4.23841i 0.711167 + 0.457039i
\(87\) 1.58144 + 10.9992i 0.169548 + 1.17924i
\(88\) −4.09863 + 2.63403i −0.436915 + 0.280788i
\(89\) 4.28672 + 4.94714i 0.454392 + 0.524396i 0.936004 0.351988i \(-0.114494\pi\)
−0.481613 + 0.876384i \(0.659949\pi\)
\(90\) 6.14277 1.80368i 0.647505 0.190125i
\(91\) −5.83169 −0.611327
\(92\) 1.97529 4.37015i 0.205938 0.455620i
\(93\) 5.13707 0.532689
\(94\) −5.09108 + 1.49488i −0.525105 + 0.154185i
\(95\) −4.51046 5.20535i −0.462763 0.534057i
\(96\) −2.57952 + 1.65776i −0.263271 + 0.169194i
\(97\) 0.140212 + 0.975199i 0.0142364 + 0.0990165i 0.995701 0.0926285i \(-0.0295269\pi\)
−0.981464 + 0.191645i \(0.938618\pi\)
\(98\) −5.05016 3.24554i −0.510144 0.327849i
\(99\) −12.9574 + 28.3726i −1.30226 + 2.85156i
\(100\) −0.654861 + 0.755750i −0.0654861 + 0.0755750i
\(101\) −2.47221 + 17.1946i −0.245994 + 1.71093i 0.374926 + 0.927055i \(0.377668\pi\)
−0.620921 + 0.783874i \(0.713241\pi\)
\(102\) 5.25189 + 11.5000i 0.520015 + 1.13867i
\(103\) −8.20525 2.40928i −0.808487 0.237393i −0.148736 0.988877i \(-0.547520\pi\)
−0.659752 + 0.751484i \(0.729339\pi\)
\(104\) 5.60428 + 1.64556i 0.549545 + 0.161361i
\(105\) 1.27178 + 2.78480i 0.124113 + 0.271769i
\(106\) 0.490865 3.41404i 0.0476770 0.331601i
\(107\) −4.86662 + 5.61638i −0.470474 + 0.542956i −0.940543 0.339674i \(-0.889683\pi\)
0.470070 + 0.882629i \(0.344229\pi\)
\(108\) −4.33354 + 9.48912i −0.416995 + 0.913091i
\(109\) −2.82426 1.81504i −0.270515 0.173849i 0.398350 0.917234i \(-0.369583\pi\)
−0.668865 + 0.743384i \(0.733219\pi\)
\(110\) −0.693364 4.82246i −0.0661097 0.459803i
\(111\) −0.161014 + 0.103478i −0.0152828 + 0.00982166i
\(112\) −0.653831 0.754561i −0.0617812 0.0712993i
\(113\) −9.49161 + 2.78699i −0.892896 + 0.262178i −0.695825 0.718211i \(-0.744961\pi\)
−0.197071 + 0.980389i \(0.563143\pi\)
\(114\) 21.1195 1.97803
\(115\) 3.15467 + 3.61221i 0.294174 + 0.336840i
\(116\) 3.62402 0.336482
\(117\) 35.8792 10.5351i 3.31703 0.973968i
\(118\) 7.63836 + 8.81514i 0.703168 + 0.811499i
\(119\) −3.46309 + 2.22560i −0.317461 + 0.204020i
\(120\) −0.436378 3.03507i −0.0398357 0.277063i
\(121\) 10.7149 + 6.88605i 0.974082 + 0.626005i
\(122\) 0.179889 0.393903i 0.0162864 0.0356623i
\(123\) 5.78355 6.67458i 0.521486 0.601826i
\(124\) 0.238426 1.65829i 0.0214112 0.148918i
\(125\) −0.415415 0.909632i −0.0371558 0.0813600i
\(126\) −6.13311 1.80084i −0.546381 0.160432i
\(127\) −9.48208 2.78419i −0.841399 0.247057i −0.167492 0.985873i \(-0.553567\pi\)
−0.673907 + 0.738816i \(0.735385\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) 3.42103 23.7938i 0.301205 2.09492i
\(130\) −3.82496 + 4.41424i −0.335471 + 0.387154i
\(131\) −8.27531 + 18.1204i −0.723017 + 1.58319i 0.0866094 + 0.996242i \(0.472397\pi\)
−0.809627 + 0.586945i \(0.800330\pi\)
\(132\) 12.5676 + 8.07668i 1.09387 + 0.702985i
\(133\) 0.978675 + 6.80683i 0.0848619 + 0.590227i
\(134\) −4.26682 + 2.74212i −0.368597 + 0.236883i
\(135\) −6.83139 7.88385i −0.587953 0.678533i
\(136\) 3.95606 1.16160i 0.339229 0.0996067i
\(137\) −0.287466 −0.0245598 −0.0122799 0.999925i \(-0.503909\pi\)
−0.0122799 + 0.999925i \(0.503909\pi\)
\(138\) −14.7053 + 0.0571696i −1.25180 + 0.00486660i
\(139\) −2.34636 −0.199015 −0.0995077 0.995037i \(-0.531727\pi\)
−0.0995077 + 0.995037i \(0.531727\pi\)
\(140\) 0.957984 0.281290i 0.0809644 0.0237733i
\(141\) 10.6544 + 12.2959i 0.897264 + 1.03550i
\(142\) −6.73947 + 4.33120i −0.565564 + 0.363466i
\(143\) −4.04985 28.1673i −0.338666 2.35547i
\(144\) 5.38579 + 3.46124i 0.448816 + 0.288437i
\(145\) −1.50547 + 3.29652i −0.125023 + 0.273761i
\(146\) −7.13161 + 8.23031i −0.590216 + 0.681146i
\(147\) −2.61964 + 18.2200i −0.216064 + 1.50276i
\(148\) 0.0259303 + 0.0567794i 0.00213146 + 0.00466724i
\(149\) 4.51190 + 1.32481i 0.369630 + 0.108533i 0.461272 0.887259i \(-0.347393\pi\)
−0.0916420 + 0.995792i \(0.529212\pi\)
\(150\) 2.94208 + 0.863872i 0.240220 + 0.0705349i
\(151\) 5.20666 + 11.4010i 0.423712 + 0.927799i 0.994306 + 0.106567i \(0.0339859\pi\)
−0.570594 + 0.821232i \(0.693287\pi\)
\(152\) 0.980217 6.81756i 0.0795061 0.552977i
\(153\) 17.2859 19.9490i 1.39748 1.61278i
\(154\) −2.02074 + 4.42480i −0.162836 + 0.356561i
\(155\) 1.40938 + 0.905756i 0.113204 + 0.0727521i
\(156\) −2.54883 17.7275i −0.204070 1.41933i
\(157\) −12.1722 + 7.82257i −0.971444 + 0.624309i −0.927143 0.374709i \(-0.877743\pi\)
−0.0443019 + 0.999018i \(0.514106\pi\)
\(158\) 10.1562 + 11.7209i 0.807986 + 0.932465i
\(159\) −10.1477 + 2.97962i −0.804762 + 0.236300i
\(160\) −1.00000 −0.0790569
\(161\) −0.699865 4.73687i −0.0551571 0.373317i
\(162\) 12.7806 1.00414
\(163\) 1.82656 0.536326i 0.143067 0.0420083i −0.209415 0.977827i \(-0.567156\pi\)
0.352482 + 0.935819i \(0.385338\pi\)
\(164\) −1.88618 2.17676i −0.147286 0.169977i
\(165\) −12.5676 + 8.07668i −0.978383 + 0.628769i
\(166\) −0.929434 6.46436i −0.0721381 0.501731i
\(167\) −11.0211 7.08284i −0.852839 0.548086i 0.0396200 0.999215i \(-0.487385\pi\)
−0.892459 + 0.451128i \(0.851022\pi\)
\(168\) −1.27178 + 2.78480i −0.0981198 + 0.214852i
\(169\) −13.8279 + 15.9583i −1.06368 + 1.22756i
\(170\) −0.586774 + 4.08110i −0.0450035 + 0.313006i
\(171\) −18.3179 40.1107i −1.40081 3.06734i
\(172\) −7.52204 2.20867i −0.573550 0.168410i
\(173\) −2.63596 0.773988i −0.200408 0.0588452i 0.179988 0.983669i \(-0.442394\pi\)
−0.380396 + 0.924824i \(0.624212\pi\)
\(174\) −4.61621 10.1081i −0.349954 0.766292i
\(175\) −0.142091 + 0.988265i −0.0107411 + 0.0747058i
\(176\) 3.19051 3.68205i 0.240494 0.277545i
\(177\) 14.8575 32.5334i 1.11676 2.44536i
\(178\) −5.50685 3.53904i −0.412756 0.265262i
\(179\) −0.666919 4.63852i −0.0498479 0.346700i −0.999448 0.0332345i \(-0.989419\pi\)
0.949600 0.313465i \(-0.101490\pi\)
\(180\) −5.38579 + 3.46124i −0.401433 + 0.257986i
\(181\) −13.9843 16.1387i −1.03944 1.19958i −0.979513 0.201380i \(-0.935457\pi\)
−0.0599310 0.998203i \(-0.519088\pi\)
\(182\) 5.59546 1.64298i 0.414763 0.121786i
\(183\) −1.32781 −0.0981545
\(184\) −0.664058 + 4.74963i −0.0489550 + 0.350148i
\(185\) −0.0624202 −0.00458923
\(186\) −4.92898 + 1.44728i −0.361410 + 0.106120i
\(187\) −13.1547 15.1813i −0.961967 1.11017i
\(188\) 4.46370 2.86865i 0.325549 0.209218i
\(189\) 1.48227 + 10.3094i 0.107819 + 0.749899i
\(190\) 5.79427 + 3.72375i 0.420361 + 0.270149i
\(191\) 3.83399 8.39527i 0.277418 0.607461i −0.718716 0.695303i \(-0.755270\pi\)
0.996134 + 0.0878428i \(0.0279973\pi\)
\(192\) 2.00799 2.31734i 0.144914 0.167240i
\(193\) −1.20552 + 8.38457i −0.0867752 + 0.603535i 0.899312 + 0.437307i \(0.144068\pi\)
−0.986087 + 0.166228i \(0.946841\pi\)
\(194\) −0.409278 0.896194i −0.0293845 0.0643430i
\(195\) 17.1843 + 5.04577i 1.23059 + 0.361335i
\(196\) 5.75997 + 1.69128i 0.411427 + 0.120806i
\(197\) 7.47240 + 16.3623i 0.532387 + 1.16576i 0.964533 + 0.263961i \(0.0850289\pi\)
−0.432147 + 0.901803i \(0.642244\pi\)
\(198\) 4.43899 30.8739i 0.315465 2.19411i
\(199\) −0.539039 + 0.622084i −0.0382115 + 0.0440984i −0.774534 0.632533i \(-0.782015\pi\)
0.736322 + 0.676631i \(0.236561\pi\)
\(200\) 0.415415 0.909632i 0.0293743 0.0643207i
\(201\) 13.0833 + 8.40813i 0.922825 + 0.593064i
\(202\) −2.47221 17.1946i −0.173944 1.20981i
\(203\) 3.04393 1.95621i 0.213642 0.137299i
\(204\) −8.27908 9.55457i −0.579652 0.668954i
\(205\) 2.76360 0.811466i 0.193018 0.0566753i
\(206\) 8.55165 0.595822
\(207\) 12.8631 + 27.8790i 0.894050 + 1.93773i
\(208\) −5.84087 −0.404992
\(209\) −32.1977 + 9.45410i −2.22716 + 0.653954i
\(210\) −2.00483 2.31370i −0.138347 0.159660i
\(211\) 18.9517 12.1795i 1.30469 0.838472i 0.310974 0.950418i \(-0.399345\pi\)
0.993714 + 0.111946i \(0.0357085\pi\)
\(212\) 0.490865 + 3.41404i 0.0337127 + 0.234477i
\(213\) 20.6651 + 13.2807i 1.41595 + 0.909977i
\(214\) 3.08717 6.75996i 0.211035 0.462101i
\(215\) 5.13385 5.92477i 0.350125 0.404066i
\(216\) 1.48460 10.3256i 0.101014 0.702571i
\(217\) −0.694866 1.52154i −0.0471706 0.103289i
\(218\) 3.22121 + 0.945834i 0.218168 + 0.0640599i
\(219\) 32.0400 + 9.40780i 2.16506 + 0.635720i
\(220\) 2.02392 + 4.43177i 0.136453 + 0.298790i
\(221\) −3.42727 + 23.8372i −0.230543 + 1.60346i
\(222\) 0.125339 0.144649i 0.00841221 0.00970821i
\(223\) −2.12126 + 4.64491i −0.142050 + 0.311046i −0.967263 0.253775i \(-0.918328\pi\)
0.825213 + 0.564821i \(0.191055\pi\)
\(224\) 0.839931 + 0.539791i 0.0561202 + 0.0360663i
\(225\) −0.911115 6.33694i −0.0607410 0.422463i
\(226\) 8.32195 5.34819i 0.553568 0.355756i
\(227\) 10.3424 + 11.9357i 0.686446 + 0.792201i 0.986855 0.161609i \(-0.0516685\pi\)
−0.300409 + 0.953811i \(0.597123\pi\)
\(228\) −20.2640 + 5.95006i −1.34202 + 0.394052i
\(229\) −15.2178 −1.00562 −0.502812 0.864396i \(-0.667701\pi\)
−0.502812 + 0.864396i \(0.667701\pi\)
\(230\) −4.04456 2.57712i −0.266690 0.169930i
\(231\) 14.9156 0.981374
\(232\) −3.47722 + 1.02100i −0.228291 + 0.0670322i
\(233\) −14.4956 16.7288i −0.949637 1.09594i −0.995286 0.0969820i \(-0.969081\pi\)
0.0456491 0.998958i \(-0.485464\pi\)
\(234\) −31.4577 + 20.2167i −2.05646 + 1.32160i
\(235\) 0.755125 + 5.25201i 0.0492589 + 0.342603i
\(236\) −9.81246 6.30609i −0.638737 0.410491i
\(237\) 19.7550 43.2575i 1.28323 2.80988i
\(238\) 2.69579 3.11111i 0.174742 0.201663i
\(239\) −1.44054 + 10.0192i −0.0931807 + 0.648086i 0.888686 + 0.458515i \(0.151619\pi\)
−0.981867 + 0.189570i \(0.939290\pi\)
\(240\) 1.27378 + 2.78919i 0.0822222 + 0.180042i
\(241\) 1.67628 + 0.492199i 0.107978 + 0.0317053i 0.335275 0.942120i \(-0.391171\pi\)
−0.227297 + 0.973825i \(0.572989\pi\)
\(242\) −12.2209 3.58838i −0.785589 0.230670i
\(243\) −3.27912 7.18026i −0.210355 0.460614i
\(244\) −0.0616273 + 0.428628i −0.00394529 + 0.0274401i
\(245\) −3.93122 + 4.53687i −0.251157 + 0.289850i
\(246\) −3.66883 + 8.03363i −0.233916 + 0.512205i
\(247\) 33.8436 + 21.7500i 2.15342 + 1.38392i
\(248\) 0.238426 + 1.65829i 0.0151400 + 0.105301i
\(249\) −16.8464 + 10.8265i −1.06760 + 0.686104i
\(250\) 0.654861 + 0.755750i 0.0414170 + 0.0477978i
\(251\) −20.9149 + 6.14118i −1.32014 + 0.387628i −0.864543 0.502559i \(-0.832392\pi\)
−0.455596 + 0.890187i \(0.650574\pi\)
\(252\) 6.39204 0.402660
\(253\) 22.3933 6.66993i 1.40785 0.419335i
\(254\) 9.88239 0.620076
\(255\) 12.1304 3.56181i 0.759635 0.223049i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 3.11762 2.00358i 0.194472 0.124980i −0.439781 0.898105i \(-0.644944\pi\)
0.634253 + 0.773125i \(0.281308\pi\)
\(258\) 3.42103 + 23.7938i 0.212984 + 1.48134i
\(259\) 0.0524286 + 0.0336938i 0.00325776 + 0.00209363i
\(260\) 2.42639 5.31304i 0.150478 0.329501i
\(261\) −15.1937 + 17.5344i −0.940464 + 1.08535i
\(262\) 2.83500 19.7178i 0.175147 1.21817i
\(263\) −4.24138 9.28732i −0.261535 0.572681i 0.732621 0.680637i \(-0.238297\pi\)
−0.994156 + 0.107956i \(0.965569\pi\)
\(264\) −14.3339 4.20883i −0.882193 0.259035i
\(265\) −3.30943 0.971737i −0.203297 0.0596933i
\(266\) −2.85674 6.25539i −0.175158 0.383542i
\(267\) −2.85653 + 19.8676i −0.174817 + 1.21588i
\(268\) 3.32144 3.83315i 0.202889 0.234147i
\(269\) 3.40247 7.45036i 0.207452 0.454257i −0.777093 0.629385i \(-0.783307\pi\)
0.984546 + 0.175128i \(0.0560341\pi\)
\(270\) 8.77581 + 5.63987i 0.534079 + 0.343232i
\(271\) −3.41525 23.7536i −0.207462 1.44293i −0.781401 0.624029i \(-0.785495\pi\)
0.573939 0.818898i \(-0.305415\pi\)
\(272\) −3.46855 + 2.22910i −0.210312 + 0.135159i
\(273\) −11.7100 13.5140i −0.708720 0.817906i
\(274\) 0.275821 0.0809884i 0.0166630 0.00489269i
\(275\) −4.87205 −0.293795
\(276\) 14.0935 4.19781i 0.848329 0.252678i
\(277\) 22.0368 1.32406 0.662032 0.749476i \(-0.269694\pi\)
0.662032 + 0.749476i \(0.269694\pi\)
\(278\) 2.25131 0.661045i 0.135025 0.0396469i
\(279\) 7.02383 + 8.10594i 0.420506 + 0.485290i
\(280\) −0.839931 + 0.539791i −0.0501955 + 0.0322587i
\(281\) 2.71428 + 18.8782i 0.161920 + 1.12618i 0.895009 + 0.446047i \(0.147169\pi\)
−0.733089 + 0.680133i \(0.761922\pi\)
\(282\) −13.6870 8.79609i −0.815048 0.523800i
\(283\) −8.64786 + 18.9362i −0.514062 + 1.12564i 0.457577 + 0.889170i \(0.348717\pi\)
−0.971639 + 0.236469i \(0.924010\pi\)
\(284\) 5.24624 6.05448i 0.311307 0.359267i
\(285\) 3.00562 20.9046i 0.178038 1.23828i
\(286\) 11.8215 + 25.8854i 0.699018 + 1.53064i
\(287\) −2.75925 0.810190i −0.162874 0.0478240i
\(288\) −6.14277 1.80368i −0.361966 0.106283i
\(289\) −0.000118735 0 0.000259993i −6.98440e−6 0 1.52937e-5i
\(290\) 0.515752 3.58713i 0.0302860 0.210644i
\(291\) −1.97833 + 2.28311i −0.115972 + 0.133838i
\(292\) 4.52398 9.90613i 0.264746 0.579713i
\(293\) −8.61054 5.53366i −0.503033 0.323280i 0.264395 0.964414i \(-0.414828\pi\)
−0.767428 + 0.641135i \(0.778464\pi\)
\(294\) −2.61964 18.2200i −0.152780 1.06261i
\(295\) 9.81246 6.30609i 0.571304 0.367155i
\(296\) −0.0408765 0.0471740i −0.00237590 0.00274194i
\(297\) −48.7656 + 14.3189i −2.82967 + 0.830865i
\(298\) −4.70238 −0.272402
\(299\) −23.6238 15.0526i −1.36620 0.870515i
\(300\) −3.06629 −0.177032
\(301\) −7.51021 + 2.20520i −0.432881 + 0.127105i
\(302\) −8.20778 9.47229i −0.472305 0.545069i
\(303\) −44.8100 + 28.7976i −2.57427 + 1.65438i
\(304\) 0.980217 + 6.81756i 0.0562193 + 0.391014i
\(305\) −0.364292 0.234117i −0.0208593 0.0134055i
\(306\) −10.9654 + 24.0109i −0.626852 + 1.37261i
\(307\) 14.6204 16.8728i 0.834428 0.962981i −0.165301 0.986243i \(-0.552860\pi\)
0.999729 + 0.0232619i \(0.00740515\pi\)
\(308\) 0.692274 4.81487i 0.0394460 0.274353i
\(309\) −10.8929 23.8522i −0.619677 1.35690i
\(310\) −1.60748 0.471997i −0.0912985 0.0268077i
\(311\) 21.3436 + 6.26704i 1.21028 + 0.355371i 0.823776 0.566915i \(-0.191863\pi\)
0.386507 + 0.922286i \(0.373681\pi\)
\(312\) 7.43999 + 16.2913i 0.421207 + 0.922314i
\(313\) −2.79875 + 19.4657i −0.158195 + 1.10027i 0.743763 + 0.668443i \(0.233039\pi\)
−0.901958 + 0.431824i \(0.857870\pi\)
\(314\) 9.47523 10.9350i 0.534718 0.617098i
\(315\) −2.65535 + 5.81440i −0.149612 + 0.327604i
\(316\) −13.0470 8.38479i −0.733950 0.471681i
\(317\) −1.23214 8.56970i −0.0692037 0.481322i −0.994721 0.102617i \(-0.967278\pi\)
0.925517 0.378705i \(-0.123631\pi\)
\(318\) 8.89716 5.71786i 0.498928 0.320641i
\(319\) 11.5625 + 13.3438i 0.647374 + 0.747110i
\(320\) 0.959493 0.281733i 0.0536373 0.0157493i
\(321\) −22.7872 −1.27186
\(322\) 2.00605 + 4.34782i 0.111793 + 0.242294i
\(323\) 28.3983 1.58012
\(324\) −12.2629 + 3.60072i −0.681274 + 0.200040i
\(325\) 3.82496 + 4.41424i 0.212171 + 0.244858i
\(326\) −1.60147 + 1.02920i −0.0886973 + 0.0570023i
\(327\) −1.46501 10.1894i −0.0810152 0.563473i
\(328\) 2.42304 + 1.55719i 0.133790 + 0.0859815i
\(329\) 2.20073 4.81893i 0.121330 0.265676i
\(330\) 9.78302 11.2902i 0.538537 0.621505i
\(331\) 2.74871 19.1177i 0.151083 1.05081i −0.763326 0.646014i \(-0.776435\pi\)
0.914409 0.404792i \(-0.132656\pi\)
\(332\) 2.71301 + 5.94065i 0.148896 + 0.326036i
\(333\) −0.383433 0.112586i −0.0210120 0.00616968i
\(334\) 12.5701 + 3.69093i 0.687808 + 0.201959i
\(335\) 2.10698 + 4.61364i 0.115117 + 0.252070i
\(336\) 0.435692 3.03030i 0.0237689 0.165317i
\(337\) −5.38066 + 6.20962i −0.293103 + 0.338259i −0.883133 0.469122i \(-0.844570\pi\)
0.590030 + 0.807381i \(0.299116\pi\)
\(338\) 8.77182 19.2076i 0.477124 1.04476i
\(339\) −25.5175 16.3991i −1.38592 0.890676i
\(340\) −0.586774 4.08110i −0.0318223 0.221329i
\(341\) 6.86659 4.41289i 0.371846 0.238971i
\(342\) 28.8764 + 33.3252i 1.56146 + 1.80202i
\(343\) 12.4568 3.65765i 0.672604 0.197494i
\(344\) 7.83960 0.422683
\(345\) −2.03619 + 14.5637i −0.109625 + 0.784085i
\(346\) 2.74724 0.147693
\(347\) −18.5619 + 5.45028i −0.996457 + 0.292586i −0.739002 0.673704i \(-0.764702\pi\)
−0.257456 + 0.966290i \(0.582884\pi\)
\(348\) 7.27700 + 8.39810i 0.390088 + 0.450185i
\(349\) 22.7619 14.6282i 1.21842 0.783028i 0.236368 0.971664i \(-0.424043\pi\)
0.982047 + 0.188636i \(0.0604065\pi\)
\(350\) −0.142091 0.988265i −0.00759509 0.0528250i
\(351\) 51.2584 + 32.9418i 2.73597 + 1.75830i
\(352\) −2.02392 + 4.43177i −0.107875 + 0.236214i
\(353\) −21.6452 + 24.9799i −1.15206 + 1.32955i −0.216538 + 0.976274i \(0.569477\pi\)
−0.935521 + 0.353272i \(0.885069\pi\)
\(354\) −5.08995 + 35.4014i −0.270528 + 1.88156i
\(355\) 3.32798 + 7.28727i 0.176631 + 0.386768i
\(356\) 6.28085 + 1.84422i 0.332884 + 0.0977436i
\(357\) −12.1113 3.55621i −0.640999 0.188214i
\(358\) 1.94673 + 4.26274i 0.102888 + 0.225293i
\(359\) 2.18894 15.2244i 0.115528 0.803514i −0.846856 0.531822i \(-0.821508\pi\)
0.962384 0.271692i \(-0.0875833\pi\)
\(360\) 4.19249 4.83839i 0.220963 0.255005i
\(361\) 11.8144 25.8698i 0.621808 1.36157i
\(362\) 17.9646 + 11.5452i 0.944200 + 0.606801i
\(363\) 5.55807 + 38.6572i 0.291723 + 2.02898i
\(364\) −4.90593 + 3.15285i −0.257140 + 0.165254i
\(365\) 7.13161 + 8.23031i 0.373285 + 0.430794i
\(366\) 1.27402 0.374087i 0.0665943 0.0195538i
\(367\) −27.1360 −1.41649 −0.708244 0.705968i \(-0.750512\pi\)
−0.708244 + 0.705968i \(0.750512\pi\)
\(368\) −0.700968 4.74433i −0.0365405 0.247315i
\(369\) 18.4398 0.959937
\(370\) 0.0598918 0.0175858i 0.00311362 0.000914242i
\(371\) 2.25516 + 2.60259i 0.117082 + 0.135120i
\(372\) 4.32157 2.77731i 0.224063 0.143997i
\(373\) 2.18747 + 15.2142i 0.113263 + 0.787762i 0.964709 + 0.263319i \(0.0848172\pi\)
−0.851446 + 0.524443i \(0.824274\pi\)
\(374\) 16.8989 + 10.8603i 0.873823 + 0.561572i
\(375\) 1.27378 2.78919i 0.0657778 0.144033i
\(376\) −3.47470 + 4.01002i −0.179194 + 0.206801i
\(377\) 3.01244 20.9520i 0.155149 1.07908i
\(378\) −4.32672 9.47420i −0.222543 0.487300i
\(379\) 23.9783 + 7.04066i 1.23168 + 0.361654i 0.831884 0.554949i \(-0.187262\pi\)
0.399797 + 0.916604i \(0.369081\pi\)
\(380\) −6.60866 1.94048i −0.339017 0.0995445i
\(381\) −12.5880 27.5639i −0.644903 1.41214i
\(382\) −1.31347 + 9.13536i −0.0672028 + 0.467406i
\(383\) 11.0561 12.7594i 0.564942 0.651977i −0.399357 0.916796i \(-0.630767\pi\)
0.964298 + 0.264818i \(0.0853120\pi\)
\(384\) −1.27378 + 2.78919i −0.0650024 + 0.142335i
\(385\) 4.09218 + 2.62988i 0.208557 + 0.134031i
\(386\) −1.20552 8.38457i −0.0613593 0.426764i
\(387\) 42.2225 27.1347i 2.14629 1.37934i
\(388\) 0.645187 + 0.744585i 0.0327544 + 0.0378006i
\(389\) −9.88387 + 2.90217i −0.501132 + 0.147146i −0.522522 0.852626i \(-0.675009\pi\)
0.0213904 + 0.999771i \(0.493191\pi\)
\(390\) −17.9098 −0.906897
\(391\) −19.7734 + 0.0768729i −0.999984 + 0.00388763i
\(392\) −6.00314 −0.303204
\(393\) −58.6080 + 17.2088i −2.95638 + 0.868072i
\(394\) −11.7795 13.5943i −0.593443 0.684869i
\(395\) 13.0470 8.38479i 0.656465 0.421885i
\(396\) 4.43899 + 30.8739i 0.223068 + 1.55147i
\(397\) −5.45002 3.50252i −0.273529 0.175786i 0.396684 0.917955i \(-0.370161\pi\)
−0.670213 + 0.742169i \(0.733797\pi\)
\(398\) 0.341943 0.748750i 0.0171400 0.0375315i
\(399\) −13.8086 + 15.9360i −0.691295 + 0.797797i
\(400\) −0.142315 + 0.989821i −0.00711574 + 0.0494911i
\(401\) 2.31407 + 5.06711i 0.115559 + 0.253039i 0.958570 0.284858i \(-0.0919463\pi\)
−0.843011 + 0.537897i \(0.819219\pi\)
\(402\) −14.9222 4.38155i −0.744251 0.218532i
\(403\) −9.38906 2.75688i −0.467702 0.137330i
\(404\) 7.21635 + 15.8016i 0.359027 + 0.786159i
\(405\) 1.81887 12.6505i 0.0903806 0.628611i
\(406\) −2.36950 + 2.73454i −0.117596 + 0.135713i
\(407\) −0.126334 + 0.276632i −0.00626212 + 0.0137121i
\(408\) 10.6356 + 6.83506i 0.526539 + 0.338386i
\(409\) 2.73141 + 18.9974i 0.135060 + 0.939360i 0.938820 + 0.344407i \(0.111920\pi\)
−0.803761 + 0.594953i \(0.797171\pi\)
\(410\) −2.42304 + 1.55719i −0.119665 + 0.0769042i
\(411\) −0.577228 0.666157i −0.0284726 0.0328591i
\(412\) −8.20525 + 2.40928i −0.404244 + 0.118697i
\(413\) −11.6458 −0.573050
\(414\) −20.1965 23.1258i −0.992605 1.13657i
\(415\) −6.53083 −0.320586
\(416\) 5.60428 1.64556i 0.274772 0.0806804i
\(417\) −4.71146 5.43732i −0.230721 0.266267i
\(418\) 28.2300 18.1423i 1.38077 0.887368i
\(419\) −4.81801 33.5100i −0.235375 1.63707i −0.674237 0.738515i \(-0.735527\pi\)
0.438862 0.898554i \(-0.355382\pi\)
\(420\) 2.57547 + 1.65515i 0.125670 + 0.0807631i
\(421\) −3.18322 + 6.97029i −0.155141 + 0.339711i −0.971203 0.238253i \(-0.923425\pi\)
0.816062 + 0.577964i \(0.196153\pi\)
\(422\) −14.7526 + 17.0255i −0.718148 + 0.828787i
\(423\) −4.83439 + 33.6239i −0.235056 + 1.63485i
\(424\) −1.43283 3.13746i −0.0695843 0.152368i
\(425\) 3.95606 + 1.16160i 0.191897 + 0.0563460i
\(426\) −23.5697 6.92068i −1.14195 0.335308i
\(427\) 0.179606 + 0.393283i 0.00869176 + 0.0190323i
\(428\) −1.05762 + 7.35589i −0.0511218 + 0.355560i
\(429\) 57.1414 65.9447i 2.75881 3.18384i
\(430\) −3.25669 + 7.13115i −0.157051 + 0.343895i
\(431\) 15.7903 + 10.1478i 0.760592 + 0.488803i 0.862541 0.505987i \(-0.168872\pi\)
−0.101949 + 0.994790i \(0.532508\pi\)
\(432\) 1.48460 + 10.3256i 0.0714280 + 0.496793i
\(433\) 24.9444 16.0308i 1.19875 0.770391i 0.220012 0.975497i \(-0.429390\pi\)
0.978740 + 0.205106i \(0.0657539\pi\)
\(434\) 1.09539 + 1.26415i 0.0525803 + 0.0606809i
\(435\) −10.6622 + 3.13069i −0.511211 + 0.150105i
\(436\) −3.35720 −0.160781
\(437\) −13.6051 + 30.1001i −0.650820 + 1.43989i
\(438\) −33.3927 −1.59556
\(439\) 18.1651 5.33374i 0.866971 0.254566i 0.182144 0.983272i \(-0.441696\pi\)
0.684826 + 0.728706i \(0.259878\pi\)
\(440\) −3.19051 3.68205i −0.152102 0.175535i
\(441\) −32.3317 + 20.7783i −1.53960 + 0.989443i
\(442\) −3.42727 23.8372i −0.163019 1.13382i
\(443\) 16.4781 + 10.5898i 0.782896 + 0.503137i 0.869994 0.493063i \(-0.164123\pi\)
−0.0870975 + 0.996200i \(0.527759\pi\)
\(444\) −0.0795097 + 0.174102i −0.00377336 + 0.00826251i
\(445\) −4.28672 + 4.94714i −0.203210 + 0.234517i
\(446\) 0.726711 5.05439i 0.0344108 0.239332i
\(447\) 5.98981 + 13.1158i 0.283308 + 0.620358i
\(448\) −0.957984 0.281290i −0.0452605 0.0132897i
\(449\) −15.5044 4.55250i −0.731698 0.214846i −0.105400 0.994430i \(-0.533612\pi\)
−0.626298 + 0.779584i \(0.715430\pi\)
\(450\) 2.65953 + 5.82356i 0.125371 + 0.274525i
\(451\) 1.99708 13.8900i 0.0940387 0.654054i
\(452\) −6.47809 + 7.47612i −0.304704 + 0.351647i
\(453\) −15.9651 + 34.9587i −0.750106 + 1.64250i
\(454\) −13.2861 8.53846i −0.623547 0.400730i
\(455\) −0.829936 5.77233i −0.0389080 0.270611i
\(456\) 17.7669 11.4181i 0.832011 0.534701i
\(457\) 23.4060 + 27.0119i 1.09488 + 1.26356i 0.962182 + 0.272409i \(0.0878202\pi\)
0.132703 + 0.991156i \(0.457634\pi\)
\(458\) 14.6014 4.28736i 0.682280 0.200335i
\(459\) 43.0111 2.00759
\(460\) 4.60678 + 1.33324i 0.214792 + 0.0621627i
\(461\) −0.555235 −0.0258599 −0.0129299 0.999916i \(-0.504116\pi\)
−0.0129299 + 0.999916i \(0.504116\pi\)
\(462\) −14.3114 + 4.20221i −0.665827 + 0.195504i
\(463\) −16.6621 19.2291i −0.774355 0.893654i 0.222333 0.974971i \(-0.428633\pi\)
−0.996688 + 0.0813170i \(0.974087\pi\)
\(464\) 3.04872 1.95929i 0.141533 0.0909579i
\(465\) 0.731081 + 5.08478i 0.0339031 + 0.235801i
\(466\) 18.6215 + 11.9673i 0.862622 + 0.554374i
\(467\) 10.2380 22.4181i 0.473759 1.03739i −0.510374 0.859953i \(-0.670493\pi\)
0.984133 0.177434i \(-0.0567797\pi\)
\(468\) 24.4878 28.2604i 1.13195 1.30634i
\(469\) 0.720683 5.01246i 0.0332781 0.231454i
\(470\) −2.20420 4.82652i −0.101672 0.222631i
\(471\) −42.5692 12.4994i −1.96148 0.575944i
\(472\) 11.1916 + 3.28616i 0.515136 + 0.151258i
\(473\) −15.8667 34.7433i −0.729553 1.59750i
\(474\) −6.76778 + 47.0709i −0.310854 + 2.16204i
\(475\) 4.51046 5.20535i 0.206954 0.238838i
\(476\) −1.71009 + 3.74458i −0.0783819 + 0.171633i
\(477\) −18.5764 11.9383i −0.850555 0.546618i
\(478\) −1.44054 10.0192i −0.0658887 0.458266i
\(479\) 8.68880 5.58396i 0.397002 0.255137i −0.326874 0.945068i \(-0.605995\pi\)
0.723876 + 0.689930i \(0.242359\pi\)
\(480\) −2.00799 2.31734i −0.0916518 0.105772i
\(481\) 0.349820 0.102716i 0.0159504 0.00468347i
\(482\) −1.74704 −0.0795757
\(483\) 9.57163 11.1334i 0.435524 0.506588i
\(484\) 12.7368 0.578947
\(485\) −0.945319 + 0.277571i −0.0429247 + 0.0126038i
\(486\) 5.16920 + 5.96558i 0.234480 + 0.270604i
\(487\) −4.75108 + 3.05333i −0.215292 + 0.138360i −0.643842 0.765158i \(-0.722661\pi\)
0.428551 + 0.903518i \(0.359024\pi\)
\(488\) −0.0616273 0.428628i −0.00278974 0.0194031i
\(489\) 4.91057 + 3.15583i 0.222063 + 0.142712i
\(490\) 2.49380 5.46065i 0.112658 0.246687i
\(491\) −5.85756 + 6.75998i −0.264348 + 0.305074i −0.872370 0.488847i \(-0.837418\pi\)
0.608022 + 0.793920i \(0.291963\pi\)
\(492\) 1.25689 8.74184i 0.0566648 0.394112i
\(493\) −6.20717 13.5918i −0.279557 0.612144i
\(494\) −38.6004 11.3341i −1.73671 0.509945i
\(495\) −29.9279 8.78762i −1.34516 0.394974i
\(496\) −0.695961 1.52394i −0.0312496 0.0684270i
\(497\) 1.13832 7.91721i 0.0510608 0.355136i
\(498\) 13.1138 15.1342i 0.587645 0.678179i
\(499\) −9.61791 + 21.0603i −0.430557 + 0.942788i 0.562679 + 0.826675i \(0.309771\pi\)
−0.993236 + 0.116112i \(0.962957\pi\)
\(500\) −0.841254 0.540641i −0.0376220 0.0241782i
\(501\) −5.71691 39.7620i −0.255413 1.77643i
\(502\) 18.3376 11.7848i 0.818446 0.525983i
\(503\) −7.30339 8.42856i −0.325642 0.375811i 0.569196 0.822202i \(-0.307255\pi\)
−0.894838 + 0.446391i \(0.852709\pi\)
\(504\) −6.13311 + 1.80084i −0.273191 + 0.0802160i
\(505\) −17.3714 −0.773019
\(506\) −19.6071 + 12.7087i −0.871640 + 0.564969i
\(507\) −64.7470 −2.87552
\(508\) −9.48208 + 2.78419i −0.420699 + 0.123528i
\(509\) 18.6318 + 21.5022i 0.825839 + 0.953069i 0.999496 0.0317372i \(-0.0101040\pi\)
−0.173657 + 0.984806i \(0.555559\pi\)
\(510\) −10.6356 + 6.83506i −0.470950 + 0.302661i
\(511\) −1.54741 10.7625i −0.0684533 0.476103i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) 29.8479 65.3579i 1.31782 2.88562i
\(514\) −2.42687 + 2.80075i −0.107044 + 0.123536i
\(515\) 1.21703 8.46461i 0.0536286 0.372995i
\(516\) −9.98593 21.8661i −0.439606 0.962603i
\(517\) 24.8040 + 7.28311i 1.09088 + 0.320311i
\(518\) −0.0597976 0.0175582i −0.00262735 0.000771461i
\(519\) −3.49939 7.66259i −0.153606 0.336350i
\(520\) −0.831243 + 5.78142i −0.0364524 + 0.253532i
\(521\) −18.2828 + 21.0995i −0.800984 + 0.924385i −0.998435 0.0559282i \(-0.982188\pi\)
0.197451 + 0.980313i \(0.436734\pi\)
\(522\) 9.63819 21.1047i 0.421852 0.923727i
\(523\) 29.4445 + 18.9228i 1.28752 + 0.827438i 0.991795 0.127835i \(-0.0408029\pi\)
0.295723 + 0.955274i \(0.404439\pi\)
\(524\) 2.83500 + 19.7178i 0.123847 + 0.861377i
\(525\) −2.57547 + 1.65515i −0.112403 + 0.0722368i
\(526\) 6.68611 + 7.71618i 0.291528 + 0.336442i
\(527\) −6.62774 + 1.94608i −0.288709 + 0.0847725i
\(528\) 14.9391 0.650140
\(529\) 9.39159 20.9952i 0.408330 0.912834i
\(530\) 3.44915 0.149821
\(531\) 71.6499 21.0383i 3.10934 0.912985i
\(532\) 4.50337 + 5.19716i 0.195246 + 0.225326i
\(533\) −14.1527 + 9.09536i −0.613020 + 0.393964i
\(534\) −2.85653 19.8676i −0.123614 0.859756i
\(535\) −6.25180 4.01779i −0.270289 0.173704i
\(536\) −2.10698 + 4.61364i −0.0910076 + 0.199279i
\(537\) 9.40989 10.8596i 0.406067 0.468626i
\(538\) −1.16563 + 8.10716i −0.0502540 + 0.349524i
\(539\) 12.1499 + 26.6045i 0.523333 + 1.14594i
\(540\) −10.0093 2.93898i −0.430730 0.126474i
\(541\) 39.5942 + 11.6259i 1.70229 + 0.499836i 0.981198 0.193006i \(-0.0618236\pi\)
0.721089 + 0.692842i \(0.243642\pi\)
\(542\) 9.96907 + 21.8292i 0.428208 + 0.937645i
\(543\) 9.31868 64.8128i 0.399903 2.78138i
\(544\) 2.70004 3.11601i 0.115763 0.133598i
\(545\) 1.39463 3.05382i 0.0597395 0.130811i
\(546\) 15.0430 + 9.66753i 0.643780 + 0.413732i
\(547\) 2.02857 + 14.1090i 0.0867354 + 0.603258i 0.986112 + 0.166083i \(0.0531119\pi\)
−0.899376 + 0.437175i \(0.855979\pi\)
\(548\) −0.241831 + 0.155416i −0.0103305 + 0.00663903i
\(549\) −1.81549 2.09519i −0.0774834 0.0894206i
\(550\) 4.67469 1.37261i 0.199330 0.0585285i
\(551\) −24.9610 −1.06338
\(552\) −12.3400 + 7.99837i −0.525223 + 0.340433i
\(553\) −15.4846 −0.658472
\(554\) −21.1442 + 6.20849i −0.898329 + 0.263773i
\(555\) −0.125339 0.144649i −0.00532035 0.00614001i
\(556\) −1.97388 + 1.26854i −0.0837112 + 0.0537979i
\(557\) −1.33279 9.26977i −0.0564722 0.392773i −0.998380 0.0569007i \(-0.981878\pi\)
0.941908 0.335872i \(-0.109031\pi\)
\(558\) −9.02303 5.79875i −0.381975 0.245481i
\(559\) −19.0219 + 41.6521i −0.804540 + 1.76170i
\(560\) 0.653831 0.754561i 0.0276294 0.0318860i
\(561\) 8.76587 60.9680i 0.370095 2.57407i
\(562\) −7.92294 17.3488i −0.334209 0.731816i
\(563\) 29.7942 + 8.74838i 1.25568 + 0.368700i 0.840884 0.541215i \(-0.182036\pi\)
0.414794 + 0.909915i \(0.363854\pi\)
\(564\) 15.6107 + 4.58372i 0.657330 + 0.193009i
\(565\) −4.10942 8.99837i −0.172885 0.378564i
\(566\) 2.96262 20.6055i 0.124528 0.866114i
\(567\) −8.35637 + 9.64377i −0.350935 + 0.405000i
\(568\) −3.32798 + 7.28727i −0.139639 + 0.305767i
\(569\) 26.0705 + 16.7545i 1.09293 + 0.702386i 0.957509 0.288402i \(-0.0931240\pi\)
0.135424 + 0.990788i \(0.456760\pi\)
\(570\) 3.00562 + 20.9046i 0.125892 + 0.875596i
\(571\) −24.9867 + 16.0580i −1.04566 + 0.672005i −0.946380 0.323055i \(-0.895290\pi\)
−0.0992795 + 0.995060i \(0.531654\pi\)
\(572\) −18.6354 21.5064i −0.779184 0.899226i
\(573\) 27.1533 7.97294i 1.13435 0.333074i
\(574\) 2.87574 0.120031
\(575\) −3.12649 + 3.63663i −0.130384 + 0.151658i
\(576\) 6.40210 0.266754
\(577\) 14.9900 4.40146i 0.624042 0.183235i 0.0456012 0.998960i \(-0.485480\pi\)
0.578441 + 0.815725i \(0.303661\pi\)
\(578\) 0.000187174 0 0.000216010i 7.78540e−6 0 8.98482e-6i
\(579\) −21.8506 + 14.0425i −0.908080 + 0.583588i
\(580\) 0.515752 + 3.58713i 0.0214154 + 0.148948i
\(581\) 5.48545 + 3.52528i 0.227575 + 0.146253i
\(582\) 1.25496 2.74799i 0.0520199 0.113908i
\(583\) −11.0045 + 12.6999i −0.455762 + 0.525977i
\(584\) −1.54985 + 10.7794i −0.0641331 + 0.446055i
\(585\) 15.5340 + 34.0147i 0.642251 + 1.40633i
\(586\) 9.82076 + 2.88364i 0.405692 + 0.119122i
\(587\) 26.5069 + 7.78313i 1.09406 + 0.321244i 0.778488 0.627659i \(-0.215987\pi\)
0.315568 + 0.948903i \(0.397805\pi\)
\(588\) 7.64669 + 16.7439i 0.315344 + 0.690507i
\(589\) −1.64219 + 11.4217i −0.0676654 + 0.470623i
\(590\) −7.63836 + 8.81514i −0.314466 + 0.362913i
\(591\) −22.9125 + 50.1714i −0.942495 + 2.06378i
\(592\) 0.0525112 + 0.0337469i 0.00215820 + 0.00138699i
\(593\) −1.29617 9.01505i −0.0532273 0.370204i −0.998974 0.0452976i \(-0.985576\pi\)
0.945746 0.324906i \(-0.105333\pi\)
\(594\) 42.7561 27.4777i 1.75431 1.12742i
\(595\) −2.69579 3.11111i −0.110517 0.127543i
\(596\) 4.51190 1.32481i 0.184815 0.0542665i
\(597\) −2.52397 −0.103299
\(598\) 26.9076 + 7.78730i 1.10034 + 0.318446i
\(599\) −15.9248 −0.650671 −0.325336 0.945599i \(-0.605477\pi\)
−0.325336 + 0.945599i \(0.605477\pi\)
\(600\) 2.94208 0.863872i 0.120110 0.0352674i
\(601\) −20.6446 23.8251i −0.842109 0.971846i 0.157768 0.987476i \(-0.449570\pi\)
−0.999878 + 0.0156300i \(0.995025\pi\)
\(602\) 6.58472 4.23174i 0.268373 0.172473i
\(603\) 4.62116 + 32.1409i 0.188188 + 1.30888i
\(604\) 10.5440 + 6.77619i 0.429028 + 0.275719i
\(605\) −5.29107 + 11.5858i −0.215113 + 0.471031i
\(606\) 34.8817 40.2556i 1.41697 1.63527i
\(607\) −3.87004 + 26.9167i −0.157080 + 1.09252i 0.746898 + 0.664938i \(0.231542\pi\)
−0.903978 + 0.427578i \(0.859367\pi\)
\(608\) −2.86124 6.26524i −0.116039 0.254089i
\(609\) 10.6454 + 3.12577i 0.431373 + 0.126662i
\(610\) 0.415494 + 0.122000i 0.0168229 + 0.00493964i
\(611\) −12.8744 28.1911i −0.520844 1.14049i
\(612\) 3.75659 26.1277i 0.151851 1.05615i
\(613\) −9.47056 + 10.9296i −0.382512 + 0.441443i −0.914056 0.405588i \(-0.867067\pi\)
0.531544 + 0.847031i \(0.321612\pi\)
\(614\) −9.27452 + 20.3084i −0.374289 + 0.819579i
\(615\) 7.42973 + 4.77480i 0.299595 + 0.192538i
\(616\) 0.692274 + 4.81487i 0.0278925 + 0.193997i
\(617\) −12.3616 + 7.94433i −0.497660 + 0.319827i −0.765280 0.643698i \(-0.777399\pi\)
0.267620 + 0.963525i \(0.413763\pi\)
\(618\) 17.1716 + 19.8171i 0.690744 + 0.797161i
\(619\) −23.3230 + 6.84824i −0.937430 + 0.275254i −0.714544 0.699590i \(-0.753366\pi\)
−0.222885 + 0.974845i \(0.571548\pi\)
\(620\) 1.67534 0.0672832
\(621\) −20.6058 + 45.5887i −0.826884 + 1.82941i
\(622\) −22.2447 −0.891929
\(623\) 6.27097 1.84132i 0.251241 0.0737711i
\(624\) −11.7284 13.5353i −0.469512 0.541846i
\(625\) 0.841254 0.540641i 0.0336501 0.0216256i
\(626\) −2.79875 19.4657i −0.111861 0.778007i
\(627\) −86.5611 55.6294i −3.45692 2.22163i
\(628\) −6.01067 + 13.1615i −0.239852 + 0.525203i
\(629\) 0.168537 0.194502i 0.00672001 0.00775530i
\(630\) 0.909682 6.32698i 0.0362426 0.252073i
\(631\) −1.56387 3.42440i −0.0622566 0.136323i 0.875946 0.482409i \(-0.160238\pi\)
−0.938203 + 0.346086i \(0.887511\pi\)
\(632\) 14.8808 + 4.36939i 0.591925 + 0.173805i
\(633\) 66.2789 + 19.4612i 2.63435 + 0.773515i
\(634\) 3.59659 + 7.87543i 0.142839 + 0.312773i
\(635\) 1.40641 9.78180i 0.0558117 0.388179i
\(636\) −6.92585 + 7.99286i −0.274628 + 0.316938i
\(637\) 14.5659 31.8950i 0.577124 1.26372i
\(638\) −14.8535 9.54577i −0.588056 0.377921i
\(639\) 7.29914 + 50.7667i 0.288750 + 2.00830i
\(640\) −0.841254 + 0.540641i −0.0332535 + 0.0213707i
\(641\) −4.67238 5.39222i −0.184548 0.212980i 0.655935 0.754817i \(-0.272274\pi\)
−0.840483 + 0.541837i \(0.817729\pi\)
\(642\) 21.8642 6.41989i 0.862909 0.253373i
\(643\) 8.12944 0.320594 0.160297 0.987069i \(-0.448755\pi\)
0.160297 + 0.987069i \(0.448755\pi\)
\(644\) −3.14971 3.60653i −0.124116 0.142117i
\(645\) 24.0384 0.946513
\(646\) −27.2480 + 8.00073i −1.07206 + 0.314785i
\(647\) 3.33009 + 3.84313i 0.130919 + 0.151089i 0.817424 0.576036i \(-0.195401\pi\)
−0.686505 + 0.727125i \(0.740856\pi\)
\(648\) 10.7518 6.90973i 0.422369 0.271440i
\(649\) −8.08747 56.2496i −0.317461 2.20799i
\(650\) −4.91365 3.15781i −0.192729 0.123860i
\(651\) 2.13066 4.66549i 0.0835071 0.182855i
\(652\) 1.24664 1.43870i 0.0488222 0.0563438i
\(653\) 2.80793 19.5296i 0.109883 0.764251i −0.858145 0.513407i \(-0.828383\pi\)
0.968028 0.250843i \(-0.0807079\pi\)
\(654\) 4.27634 + 9.36388i 0.167218 + 0.366157i
\(655\) −19.1137 5.61228i −0.746833 0.219290i
\(656\) −2.76360 0.811466i −0.107900 0.0316824i
\(657\) 28.9630 + 63.4201i 1.12995 + 2.47425i
\(658\) −0.753937 + 5.24375i −0.0293915 + 0.204423i
\(659\) 8.20440 9.46839i 0.319598 0.368836i −0.573104 0.819482i \(-0.694261\pi\)
0.892703 + 0.450646i \(0.148806\pi\)
\(660\) −6.20592 + 13.5891i −0.241565 + 0.528954i
\(661\) −30.1067 19.3484i −1.17102 0.752566i −0.197302 0.980343i \(-0.563218\pi\)
−0.973713 + 0.227777i \(0.926854\pi\)
\(662\) 2.74871 + 19.1177i 0.106832 + 0.743032i
\(663\) −62.1209 + 39.9227i −2.41258 + 1.55047i
\(664\) −4.27679 4.93567i −0.165971 0.191541i
\(665\) −6.59827 + 1.93743i −0.255870 + 0.0751302i
\(666\) 0.399621 0.0154850
\(667\) 17.3801 0.0675683i 0.672959 0.00261626i
\(668\) −13.1008 −0.506886
\(669\) −15.0233 + 4.41125i −0.580835 + 0.170549i
\(670\) −3.32144 3.83315i −0.128319 0.148087i
\(671\) −1.77485 + 1.14063i −0.0685173 + 0.0440334i
\(672\) 0.435692 + 3.03030i 0.0168072 + 0.116896i
\(673\) −9.10217 5.84961i −0.350863 0.225486i 0.353323 0.935501i \(-0.385052\pi\)
−0.704186 + 0.710015i \(0.748688\pi\)
\(674\) 3.41326 7.47399i 0.131474 0.287887i
\(675\) 6.83139 7.88385i 0.262940 0.303449i
\(676\) −3.00509 + 20.9009i −0.115580 + 0.803879i
\(677\) 11.7155 + 25.6533i 0.450262 + 0.985936i 0.989600 + 0.143847i \(0.0459472\pi\)
−0.539338 + 0.842089i \(0.681325\pi\)
\(678\) 29.1040 + 8.54570i 1.11773 + 0.328196i
\(679\) 0.943832 + 0.277134i 0.0362210 + 0.0106354i
\(680\) 1.71279 + 3.75048i 0.0656823 + 0.143824i
\(681\) −6.89181 + 47.9336i −0.264095 + 1.83682i
\(682\) −5.34519 + 6.16867i −0.204678 + 0.236211i
\(683\) −2.00474 + 4.38977i −0.0767092 + 0.167970i −0.944101 0.329656i \(-0.893067\pi\)
0.867392 + 0.497626i \(0.165795\pi\)
\(684\) −37.0955 23.8398i −1.41838 0.911539i
\(685\) −0.0409106 0.284540i −0.00156311 0.0108717i
\(686\) −10.9217 + 7.01897i −0.416994 + 0.267986i
\(687\) −30.5573 35.2650i −1.16583 1.34544i
\(688\) −7.52204 + 2.20867i −0.286775 + 0.0842048i
\(689\) 20.1460 0.767503
\(690\) −2.14937 14.5475i −0.0818250 0.553812i
\(691\) −19.3152 −0.734786 −0.367393 0.930066i \(-0.619750\pi\)
−0.367393 + 0.930066i \(0.619750\pi\)
\(692\) −2.63596 + 0.773988i −0.100204 + 0.0294226i
\(693\) 20.3939 + 23.5358i 0.774699 + 0.894050i
\(694\) 16.2745 10.4590i 0.617773 0.397019i
\(695\) −0.333922 2.32248i −0.0126664 0.0880965i
\(696\) −9.34824 6.00775i −0.354344 0.227723i
\(697\) −4.93329 + 10.8024i −0.186862 + 0.409170i
\(698\) −17.7186 + 20.4484i −0.670660 + 0.773983i
\(699\) 9.65938 67.1825i 0.365351 2.54107i
\(700\) 0.414762 + 0.908202i 0.0156765 + 0.0343268i
\(701\) 17.4831 + 5.13350i 0.660328 + 0.193890i 0.594692 0.803954i \(-0.297274\pi\)
0.0656361 + 0.997844i \(0.479092\pi\)
\(702\) −58.4628 17.1662i −2.20654 0.647898i
\(703\) −0.178599 0.391077i −0.00673599 0.0147498i
\(704\) 0.693364 4.82246i 0.0261322 0.181753i
\(705\) −10.6544 + 12.2959i −0.401269 + 0.463089i
\(706\) 13.7308 30.0662i 0.516765 1.13156i
\(707\) 14.5908 + 9.37694i 0.548743 + 0.352656i
\(708\) −5.08995 35.4014i −0.191292 1.33047i
\(709\) 5.23725 3.36578i 0.196689 0.126404i −0.438589 0.898688i \(-0.644522\pi\)
0.635278 + 0.772283i \(0.280885\pi\)
\(710\) −5.24624 6.05448i −0.196888 0.227221i
\(711\) 95.2682 27.9733i 3.57284 1.04908i
\(712\) −6.54601 −0.245322
\(713\) 1.11252 7.95725i 0.0416643 0.298001i
\(714\) 12.6226 0.472390
\(715\) 27.3043 8.01726i 1.02112 0.299829i
\(716\) −3.06882 3.54161i −0.114687 0.132356i
\(717\) −26.1104 + 16.7802i −0.975112 + 0.626666i
\(718\) 2.18894 + 15.2244i 0.0816905 + 0.568170i
\(719\) 18.6343 + 11.9756i 0.694943 + 0.446613i 0.839840 0.542834i \(-0.182649\pi\)
−0.144897 + 0.989447i \(0.546285\pi\)
\(720\) −2.65953 + 5.82356i −0.0991148 + 0.217031i
\(721\) −5.59134 + 6.45274i −0.208232 + 0.240313i
\(722\) −4.04742 + 28.1504i −0.150629 + 1.04765i
\(723\) 2.22535 + 4.87284i 0.0827617 + 0.181223i
\(724\) −20.4896 6.01629i −0.761490 0.223594i
\(725\) −3.47722 1.02100i −0.129141 0.0379192i
\(726\) −16.2239 35.5255i −0.602127 1.31847i
\(727\) −0.248356 + 1.72735i −0.00921101 + 0.0640640i −0.993909 0.110208i \(-0.964848\pi\)
0.984698 + 0.174272i \(0.0557573\pi\)
\(728\) 3.81894 4.40730i 0.141539 0.163345i
\(729\) −5.87309 + 12.8603i −0.217522 + 0.476307i
\(730\) −9.16147 5.88772i −0.339081 0.217914i
\(731\) 4.60007 + 31.9942i 0.170140 + 1.18335i
\(732\) −1.11702 + 0.717868i −0.0412864 + 0.0265332i
\(733\) 18.1912 + 20.9937i 0.671906 + 0.775421i 0.984673 0.174409i \(-0.0558014\pi\)
−0.312767 + 0.949830i \(0.601256\pi\)
\(734\) 26.0368 7.64510i 0.961036 0.282186i
\(735\) −18.4073 −0.678965
\(736\) 2.00921 + 4.35466i 0.0740603 + 0.160515i
\(737\) 24.7109 0.910239
\(738\) −17.6929 + 5.19509i −0.651283 + 0.191234i
\(739\) 31.4094 + 36.2484i 1.15541 + 1.33342i 0.933595 + 0.358329i \(0.116653\pi\)
0.221817 + 0.975088i \(0.428801\pi\)
\(740\) −0.0525112 + 0.0337469i −0.00193035 + 0.00124056i
\(741\) 17.5555 + 122.101i 0.644916 + 4.48549i
\(742\) −2.89705 1.86182i −0.106354 0.0683495i
\(743\) 11.9335 26.1306i 0.437796 0.958640i −0.554201 0.832383i \(-0.686976\pi\)
0.991997 0.126258i \(-0.0402966\pi\)
\(744\) −3.36406 + 3.88234i −0.123333 + 0.142333i
\(745\) −0.669219 + 4.65452i −0.0245183 + 0.170528i
\(746\) −6.38520 13.9816i −0.233779 0.511904i
\(747\) −40.1174 11.7795i −1.46782 0.430991i
\(748\) −19.2741 5.65938i −0.704731 0.206928i
\(749\) 3.08231 + 6.74933i 0.112625 + 0.246615i
\(750\) −0.436378 + 3.03507i −0.0159343 + 0.110825i
\(751\) 21.4218 24.7221i 0.781694 0.902123i −0.215536 0.976496i \(-0.569150\pi\)
0.997231 + 0.0743727i \(0.0236955\pi\)
\(752\) 2.20420 4.82652i 0.0803788 0.176005i
\(753\) −56.2282 36.1357i −2.04907 1.31686i
\(754\) 3.01244 + 20.9520i 0.109707 + 0.763026i
\(755\) −10.5440 + 6.77619i −0.383734 + 0.246611i
\(756\) 6.82065 + 7.87145i 0.248065 + 0.286282i
\(757\) −43.4869 + 12.7689i −1.58056 + 0.464094i −0.950053 0.312089i \(-0.898971\pi\)
−0.630507 + 0.776184i \(0.717153\pi\)
\(758\) −24.9906 −0.907698
\(759\) 60.4220 + 38.4998i 2.19318 + 1.39745i
\(760\) 6.88766 0.249842
\(761\) −22.7009 + 6.66558i −0.822906 + 0.241627i −0.665967 0.745981i \(-0.731981\pi\)
−0.156939 + 0.987608i \(0.550163\pi\)
\(762\) 19.8437 + 22.9009i 0.718863 + 0.829612i
\(763\) −2.81982 + 1.81219i −0.102084 + 0.0656056i
\(764\) −1.31347 9.13536i −0.0475196 0.330506i
\(765\) 22.2060 + 14.2709i 0.802860 + 0.515967i
\(766\) −7.01352 + 15.3575i −0.253409 + 0.554888i
\(767\) −44.6147 + 51.4881i −1.61094 + 1.85913i
\(768\) 0.436378 3.03507i 0.0157464 0.109519i
\(769\) −9.18035 20.1022i −0.331052 0.724902i 0.668776 0.743464i \(-0.266819\pi\)
−0.999828 + 0.0185617i \(0.994091\pi\)
\(770\) −4.66734 1.37046i −0.168199 0.0493878i
\(771\) 10.9031 + 3.20145i 0.392667 + 0.115297i
\(772\) 3.51890 + 7.70531i 0.126648 + 0.277320i
\(773\) 1.72178 11.9752i 0.0619280 0.430719i −0.935145 0.354265i \(-0.884731\pi\)
0.997073 0.0764538i \(-0.0243598\pi\)
\(774\) −32.8674 + 37.9310i −1.18139 + 1.36340i
\(775\) −0.695961 + 1.52394i −0.0249996 + 0.0547416i
\(776\) −0.828826 0.532654i −0.0297531 0.0191212i
\(777\) 0.0271960 + 0.189152i 0.000975650 + 0.00678579i
\(778\) 8.66587 5.56921i 0.310686 0.199666i
\(779\) 12.9913 + 14.9928i 0.465463 + 0.537173i
\(780\) 17.1843 5.04577i 0.615297 0.180667i
\(781\) 39.0311 1.39664
\(782\) 18.9508 5.64457i 0.677679 0.201849i
\(783\) −37.8051 −1.35105
\(784\) 5.75997 1.69128i 0.205713 0.0604029i
\(785\) −9.47523 10.9350i −0.338186 0.390287i
\(786\) 51.3856 33.0235i 1.83286 1.17791i
\(787\) −1.78710 12.4296i −0.0637034 0.443067i −0.996564 0.0828288i \(-0.973605\pi\)
0.932860 0.360238i \(-0.117305\pi\)
\(788\) 15.1323 + 9.72494i 0.539066 + 0.346437i
\(789\) 13.0053 28.4776i 0.463000 1.01383i
\(790\) −10.1562 + 11.7209i −0.361342 + 0.417011i
\(791\) −1.40561 + 9.77623i −0.0499777 + 0.347603i
\(792\) −12.9574 28.3726i −0.460420 1.00818i
\(793\) 2.42685 + 0.712587i 0.0861799 + 0.0253047i
\(794\) 6.21603 + 1.82519i 0.220599 + 0.0647736i
\(795\) −4.39346 9.62033i −0.155820 0.341198i
\(796\) −0.117144 + 0.814757i −0.00415207 + 0.0288783i
\(797\) −30.4582 + 35.1507i −1.07889 + 1.24510i −0.110970 + 0.993824i \(0.535396\pi\)
−0.967915 + 0.251277i \(0.919150\pi\)
\(798\) 8.75958 19.1808i 0.310086 0.678993i
\(799\) −18.4042 11.8276i −0.651093 0.418432i
\(800\) −0.142315 0.989821i −0.00503159 0.0349955i
\(801\) −35.2554 + 22.6573i −1.24569 + 0.800556i
\(802\) −3.64790 4.20990i −0.128812 0.148657i
\(803\) 50.9087 14.9481i 1.79653 0.527508i
\(804\) 15.5521 0.548482
\(805\) 4.58905 1.36687i 0.161743 0.0481758i
\(806\) 9.78544 0.344677
\(807\) 24.0972 7.07557i 0.848261 0.249072i
\(808\) −11.3759 13.1285i −0.400202 0.461857i
\(809\) 45.4478 29.2075i 1.59786 1.02688i 0.629606 0.776914i \(-0.283216\pi\)
0.968254 0.249968i \(-0.0804202\pi\)
\(810\) 1.81887 + 12.6505i 0.0639087 + 0.444495i
\(811\) −20.0396 12.8787i −0.703687 0.452232i 0.139241 0.990259i \(-0.455534\pi\)
−0.842928 + 0.538026i \(0.819170\pi\)
\(812\) 1.50310 3.29134i 0.0527486 0.115503i
\(813\) 48.1874 55.6113i 1.69001 1.95037i
\(814\) 0.0432800 0.301019i 0.00151696 0.0105507i
\(815\) 0.790814 + 1.73164i 0.0277010 + 0.0606567i
\(816\) −12.1304 3.56181i −0.424649 0.124688i
\(817\) 51.8093 + 15.2126i 1.81258 + 0.532221i
\(818\) −7.97295 17.4583i −0.278768 0.610416i
\(819\) 5.31334 36.9551i 0.185663 1.29131i
\(820\) 1.88618 2.17676i 0.0658681 0.0760159i
\(821\) −2.91277 + 6.37808i −0.101656 + 0.222597i −0.953626 0.300995i \(-0.902681\pi\)
0.851969 + 0.523592i \(0.175408\pi\)
\(822\) 0.741524 + 0.476549i 0.0258636 + 0.0166215i
\(823\) −1.05854 7.36228i −0.0368982 0.256633i 0.963020 0.269430i \(-0.0868354\pi\)
−0.999918 + 0.0127975i \(0.995926\pi\)
\(824\) 7.19411 4.62337i 0.250619 0.161063i
\(825\) −9.78302 11.2902i −0.340601 0.393074i
\(826\) 11.1740 3.28099i 0.388794 0.114160i
\(827\) 46.8003 1.62741 0.813703 0.581280i \(-0.197448\pi\)
0.813703 + 0.581280i \(0.197448\pi\)
\(828\) 25.8937 + 16.4990i 0.899868 + 0.573379i
\(829\) −9.21991 −0.320221 −0.160110 0.987099i \(-0.551185\pi\)
−0.160110 + 0.987099i \(0.551185\pi\)
\(830\) 6.26629 1.83995i 0.217506 0.0638655i
\(831\) 44.2497 + 51.0669i 1.53500 + 1.77149i
\(832\) −4.91365 + 3.15781i −0.170350 + 0.109478i
\(833\) −3.52249 24.4994i −0.122047 0.848856i
\(834\) 6.05248 + 3.88970i 0.209580 + 0.134689i
\(835\) 5.44228 11.9169i 0.188338 0.412402i
\(836\) −21.9752 + 25.3607i −0.760027 + 0.877118i
\(837\) −2.48721 + 17.2989i −0.0859707 + 0.597939i
\(838\) 14.0637 + 30.7952i 0.485822 + 1.06380i
\(839\) −12.4215 3.64728i −0.428838 0.125918i 0.0601890 0.998187i \(-0.480830\pi\)
−0.489026 + 0.872269i \(0.662648\pi\)
\(840\) −2.93745 0.862514i −0.101352 0.0297596i
\(841\) −6.59117 14.4327i −0.227282 0.497678i
\(842\) 1.09052 7.58476i 0.0375819 0.261388i
\(843\) −38.2971 + 44.1972i −1.31902 + 1.52223i
\(844\) 9.35844 20.4921i 0.322131 0.705368i
\(845\) −17.7637 11.4161i −0.611091 0.392724i
\(846\) −4.83439 33.6239i −0.166210 1.15601i
\(847\) 10.6981 6.87522i 0.367590 0.236235i
\(848\) 2.25871 + 2.60669i 0.0775645 + 0.0895142i
\(849\) −61.2464 + 17.9836i −2.10197 + 0.617195i
\(850\) −4.12307 −0.141420
\(851\) 0.125415 + 0.271819i 0.00429917 + 0.00931784i
\(852\) 24.5647 0.841573
\(853\) −37.0638 + 10.8829i −1.26904 + 0.372624i −0.845853 0.533417i \(-0.820908\pi\)
−0.423190 + 0.906041i \(0.639090\pi\)
\(854\) −0.283132 0.326752i −0.00968857 0.0111812i
\(855\) 37.0955 23.8398i 1.26864 0.815306i
\(856\) −1.05762 7.35589i −0.0361486 0.251419i
\(857\) −4.87988 3.13611i −0.166693 0.107127i 0.454634 0.890678i \(-0.349770\pi\)
−0.621328 + 0.783551i \(0.713406\pi\)
\(858\) −36.2480 + 79.3720i −1.23749 + 2.70972i
\(859\) 26.2766 30.3248i 0.896547 1.03467i −0.102655 0.994717i \(-0.532734\pi\)
0.999202 0.0399528i \(-0.0127208\pi\)
\(860\) 1.11569 7.75980i 0.0380448 0.264607i
\(861\) −3.66306 8.02099i −0.124837 0.273355i
\(862\) −18.0096 5.28811i −0.613411 0.180114i
\(863\) 22.5940 + 6.63418i 0.769107 + 0.225830i 0.642669 0.766144i \(-0.277827\pi\)
0.126438 + 0.991974i \(0.459645\pi\)
\(864\) −4.33354 9.48912i −0.147430 0.322826i
\(865\) 0.390974 2.71928i 0.0132935 0.0924584i
\(866\) −19.4176 + 22.4091i −0.659837 + 0.761492i
\(867\) 0.000364075 0 0.000797212i 1.23646e−5 0 2.70747e-5i
\(868\) −1.40717 0.904332i −0.0477624 0.0306950i
\(869\) −10.7534 74.7914i −0.364783 2.53712i
\(870\) 9.34824 6.00775i 0.316935 0.203682i
\(871\) −19.4001 22.3889i −0.657348 0.758620i
\(872\) 3.22121 0.945834i 0.109084 0.0320300i
\(873\) −6.30753 −0.213478
\(874\) 4.57381 32.7139i 0.154711 1.10656i
\(875\) −0.998427 −0.0337530
\(876\) 32.0400 9.40780i 1.08253 0.317860i
\(877\) −11.1407 12.8571i −0.376195 0.434152i 0.535806 0.844341i \(-0.320008\pi\)
−0.912000 + 0.410190i \(0.865463\pi\)
\(878\) −15.9266 + 10.2354i −0.537495 + 0.345427i
\(879\) −4.46649 31.0651i −0.150651 1.04780i
\(880\) 4.09863 + 2.63403i 0.138165 + 0.0887930i
\(881\) 5.21083 11.4101i 0.175557 0.384417i −0.801314 0.598244i \(-0.795866\pi\)
0.976872 + 0.213827i \(0.0685928\pi\)
\(882\) 25.1681 29.0455i 0.847454 0.978014i
\(883\) −2.98299 + 20.7471i −0.100385 + 0.698196i 0.876024 + 0.482268i \(0.160187\pi\)
−0.976409 + 0.215928i \(0.930722\pi\)
\(884\) 10.0042 + 21.9061i 0.336476 + 0.736781i
\(885\) 34.3167 + 10.0763i 1.15354 + 0.338711i
\(886\) −18.7941 5.51844i −0.631399 0.185396i
\(887\) −22.2864 48.8004i −0.748303 1.63856i −0.769391 0.638778i \(-0.779440\pi\)
0.0210873 0.999778i \(-0.493287\pi\)
\(888\) 0.0272388 0.189450i 0.000914074 0.00635753i
\(889\) −6.46141 + 7.45687i −0.216709 + 0.250095i
\(890\) 2.71931 5.95446i 0.0911515 0.199594i
\(891\) −52.3830 33.6645i −1.75490 1.12780i
\(892\) 0.726711 + 5.05439i 0.0243321 + 0.169233i
\(893\) −30.7445 + 19.7583i −1.02882 + 0.661186i
\(894\) −9.44234 10.8970i −0.315799 0.364452i
\(895\) 4.49640 1.32026i 0.150298 0.0441315i
\(896\) 0.998427 0.0333551
\(897\) −12.5542 84.9699i −0.419172 2.83706i
\(898\) 16.1589 0.539231
\(899\) 5.82552 1.71053i 0.194292 0.0570493i
\(900\) −4.19249 4.83839i −0.139750 0.161280i
\(901\) 11.9635 7.68850i 0.398563 0.256141i
\(902\) 1.99708 + 13.8900i 0.0664954 + 0.462486i
\(903\) −20.1906 12.9757i −0.671902 0.431805i
\(904\) 4.10942 8.99837i 0.136677 0.299281i
\(905\) 13.9843 16.1387i 0.464854 0.536470i
\(906\) 5.46940 38.0405i 0.181709 1.26381i
\(907\) −1.42514 3.12063i −0.0473211 0.103619i 0.884495 0.466550i \(-0.154503\pi\)
−0.931816 + 0.362931i \(0.881776\pi\)
\(908\) 15.1535 + 4.44946i 0.502886 + 0.147661i
\(909\) −106.709 31.3325i −3.53931 1.03923i
\(910\) 2.42257 + 5.30469i 0.0803074 + 0.175849i
\(911\) 3.86889 26.9087i 0.128182 0.891525i −0.819675 0.572829i \(-0.805846\pi\)
0.947857 0.318696i \(-0.103245\pi\)
\(912\) −13.8304 + 15.9611i −0.457969 + 0.528524i
\(913\) −13.2179 + 28.9431i −0.437448 + 0.957878i
\(914\) −30.0680 19.3235i −0.994561 0.639165i
\(915\) −0.188967 1.31429i −0.00624706 0.0434492i
\(916\) −12.8021 + 8.22739i −0.422992 + 0.271841i
\(917\) 13.0247 + 15.0313i 0.430113 + 0.496377i
\(918\) −41.2689 + 12.1176i −1.36208 + 0.399942i
\(919\) −19.0098 −0.627075 −0.313537 0.949576i \(-0.601514\pi\)
−0.313537 + 0.949576i \(0.601514\pi\)
\(920\) −4.79580 + 0.0186446i −0.158113 + 0.000614693i
\(921\) 68.4576 2.25575
\(922\) 0.532744 0.156428i 0.0175450 0.00515168i
\(923\) −30.6426 35.3635i −1.00861 1.16400i
\(924\) 12.5478 8.06398i 0.412792 0.265285i
\(925\) −0.00888332 0.0617849i −0.000292082 0.00203147i
\(926\) 21.4047 + 13.7560i 0.703402 + 0.452049i
\(927\) 22.7434 49.8011i 0.746991 1.63568i
\(928\) −2.37323 + 2.73885i −0.0779050 + 0.0899072i
\(929\) −5.02141 + 34.9246i −0.164747 + 1.14584i 0.724788 + 0.688972i \(0.241938\pi\)
−0.889534 + 0.456868i \(0.848971\pi\)
\(930\) −2.13401 4.67284i −0.0699771 0.153228i
\(931\) −39.6727 11.6490i −1.30022 0.381780i
\(932\) −21.2387 6.23625i −0.695698 0.204275i
\(933\) 28.3348 + 62.0446i 0.927640 + 2.03125i
\(934\) −3.50739 + 24.3944i −0.114765 + 0.798209i
\(935\) 13.1547 15.1813i 0.430205 0.496483i
\(936\) −15.5340 + 34.0147i −0.507744 + 1.11180i
\(937\) −10.7450 6.90539i −0.351024 0.225589i 0.353232 0.935536i \(-0.385083\pi\)
−0.704256 + 0.709946i \(0.748719\pi\)
\(938\) 0.720683 + 5.01246i 0.0235311 + 0.163663i
\(939\) −50.7286 + 32.6013i −1.65547 + 1.06390i
\(940\) 3.47470 + 4.01002i 0.113332 + 0.130792i
\(941\) 44.9982 13.2126i 1.46690 0.430720i 0.551808 0.833971i \(-0.313938\pi\)
0.915089 + 0.403251i \(0.132120\pi\)
\(942\) 44.3663 1.44553
\(943\) −9.08630 10.4041i −0.295891 0.338806i
\(944\) −11.6641 −0.379634
\(945\) −9.99352 + 2.93436i −0.325089 + 0.0954548i
\(946\) 25.0123 + 28.8658i 0.813221 + 0.938507i
\(947\) 31.8527 20.4705i 1.03507 0.665201i 0.0913095 0.995823i \(-0.470895\pi\)
0.943763 + 0.330622i \(0.107258\pi\)
\(948\) −6.76778 47.0709i −0.219807 1.52879i
\(949\) −53.5110 34.3894i −1.73704 1.11633i
\(950\) −2.86124 + 6.26524i −0.0928308 + 0.203271i
\(951\) 17.3848 20.0632i 0.563741 0.650592i
\(952\) 0.585851 4.07469i 0.0189876 0.132061i
\(953\) 6.46417 + 14.1546i 0.209395 + 0.458511i 0.984966 0.172749i \(-0.0552651\pi\)
−0.775571 + 0.631261i \(0.782538\pi\)
\(954\) 21.1873 + 6.22116i 0.685965 + 0.201418i
\(955\) 8.85545 + 2.60020i 0.286556 + 0.0841404i
\(956\) 4.20491 + 9.20747i 0.135997 + 0.297791i
\(957\) −7.70486 + 53.5885i −0.249063 + 1.73227i
\(958\) −6.76366 + 7.80568i −0.218524 + 0.252190i
\(959\) −0.119230 + 0.261077i −0.00385013 + 0.00843061i
\(960\) 2.57952 + 1.65776i 0.0832538 + 0.0535039i
\(961\) 4.01232 + 27.9063i 0.129430 + 0.900202i
\(962\) −0.306711 + 0.197111i −0.00988877 + 0.00635513i
\(963\) −31.1566 35.9566i −1.00401 1.15869i
\(964\) 1.67628 0.492199i 0.0539892 0.0158527i
\(965\) −8.47079 −0.272685
\(966\) −6.04726 + 13.3791i −0.194568 + 0.430464i
\(967\) 1.27815 0.0411027 0.0205513 0.999789i \(-0.493458\pi\)
0.0205513 + 0.999789i \(0.493458\pi\)
\(968\) −12.2209 + 3.58838i −0.392795 + 0.115335i
\(969\) 57.0235 + 65.8087i 1.83186 + 2.11408i
\(970\) 0.828826 0.532654i 0.0266120 0.0171025i
\(971\) −4.12888 28.7170i −0.132502 0.921572i −0.942278 0.334832i \(-0.891320\pi\)
0.809776 0.586740i \(-0.199589\pi\)
\(972\) −6.64051 4.26760i −0.212995 0.136883i
\(973\) −0.973179 + 2.13097i −0.0311987 + 0.0683156i
\(974\) 3.69840 4.26818i 0.118504 0.136761i
\(975\) −2.54883 + 17.7275i −0.0816278 + 0.567734i
\(976\) 0.179889 + 0.393903i 0.00575812 + 0.0126085i
\(977\) 31.6858 + 9.30380i 1.01372 + 0.297655i 0.746074 0.665863i \(-0.231936\pi\)
0.267645 + 0.963518i \(0.413755\pi\)
\(978\) −5.60075 1.64453i −0.179092 0.0525863i
\(979\) 13.2486 + 29.0104i 0.423427 + 0.927176i
\(980\) −0.854336 + 5.94204i −0.0272908 + 0.189811i
\(981\) 14.0750 16.2435i 0.449381 0.518614i
\(982\) 3.71578 8.13642i 0.118575 0.259644i
\(983\) −41.5696 26.7152i −1.32586 0.852082i −0.330093 0.943948i \(-0.607080\pi\)
−0.995771 + 0.0918667i \(0.970717\pi\)
\(984\) 1.25689 + 8.74184i 0.0400681 + 0.278680i
\(985\) −15.1323 + 9.72494i −0.482155 + 0.309862i
\(986\) 9.78499 + 11.2925i 0.311618 + 0.359626i
\(987\) 15.5862 4.57651i 0.496113 0.145672i
\(988\) 40.2300 1.27989
\(989\) −36.1153 10.4521i −1.14840 0.332357i
\(990\) 31.1913 0.991326
\(991\) −15.6548 + 4.59666i −0.497291 + 0.146018i −0.520754 0.853707i \(-0.674349\pi\)
0.0234629 + 0.999725i \(0.492531\pi\)
\(992\) 1.09711 + 1.26614i 0.0348334 + 0.0401999i
\(993\) 49.8217 32.0185i 1.58105 1.01608i
\(994\) 1.13832 + 7.91721i 0.0361054 + 0.251119i
\(995\) −0.692466 0.445021i −0.0219526 0.0141081i
\(996\) −8.31885 + 18.2157i −0.263593 + 0.577188i
\(997\) 29.3415 33.8619i 0.929254 1.07242i −0.0679502 0.997689i \(-0.521646\pi\)
0.997204 0.0747274i \(-0.0238087\pi\)
\(998\) 3.29495 22.9169i 0.104300 0.725421i
\(999\) −0.270500 0.592313i −0.00855825 0.0187400i
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 230.2.g.d.101.3 yes 30
23.8 even 11 5290.2.a.bk.1.2 15
23.15 odd 22 5290.2.a.bl.1.2 15
23.18 even 11 inner 230.2.g.d.41.3 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.g.d.41.3 30 23.18 even 11 inner
230.2.g.d.101.3 yes 30 1.1 even 1 trivial
5290.2.a.bk.1.2 15 23.8 even 11
5290.2.a.bl.1.2 15 23.15 odd 22