Properties

Label 230.2.l.a.217.8
Level $230$
Weight $2$
Character 230.217
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 217.8
Character \(\chi\) \(=\) 230.217
Dual form 230.2.l.a.53.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0713392 - 0.997452i) q^{2} +(-2.03332 + 0.442321i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(2.15496 + 0.596778i) q^{5} +(0.296139 + 2.05969i) q^{6} +(-3.45500 + 1.88657i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(1.20984 - 0.552516i) q^{9} +O(q^{10})\) \(q+(0.0713392 - 0.997452i) q^{2} +(-2.03332 + 0.442321i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(2.15496 + 0.596778i) q^{5} +(0.296139 + 2.05969i) q^{6} +(-3.45500 + 1.88657i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(1.20984 - 0.552516i) q^{9} +(0.748990 - 2.10690i) q^{10} +(3.04037 + 2.63450i) q^{11} +(2.07557 - 0.148448i) q^{12} +(-1.68719 + 3.08985i) q^{13} +(1.63529 + 3.58078i) q^{14} +(-4.64569 - 0.260254i) q^{15} +(0.959493 + 0.281733i) q^{16} +(4.11662 + 3.08166i) q^{17} +(-0.464799 - 1.24618i) q^{18} +(0.239698 - 1.66714i) q^{19} +(-2.04810 - 0.897386i) q^{20} +(6.19064 - 5.36422i) q^{21} +(2.84468 - 2.84468i) q^{22} +(-4.12677 + 2.44330i) q^{23} -2.08087i q^{24} +(4.28771 + 2.57207i) q^{25} +(2.96162 + 1.90332i) q^{26} +(2.78187 - 2.08248i) q^{27} +(3.68832 - 1.37567i) q^{28} +(-4.67045 + 0.671509i) q^{29} +(-0.591011 + 4.61529i) q^{30} +(-4.96472 + 3.19063i) q^{31} +(0.349464 - 0.936950i) q^{32} +(-7.34734 - 4.01195i) q^{33} +(3.36749 - 3.88629i) q^{34} +(-8.57124 + 2.00362i) q^{35} +(-1.27616 + 0.374714i) q^{36} +(-0.514940 - 0.192063i) q^{37} +(-1.64579 - 0.358020i) q^{38} +(2.06388 - 7.02893i) q^{39} +(-1.04121 + 1.97886i) q^{40} +(2.91137 - 6.37502i) q^{41} +(-4.90892 - 6.55754i) q^{42} +(0.214189 + 0.984612i) q^{43} +(-2.63450 - 3.04037i) q^{44} +(2.93689 - 0.468644i) q^{45} +(2.14268 + 4.29056i) q^{46} +(-8.34469 - 8.34469i) q^{47} +(-2.07557 - 0.148448i) q^{48} +(4.59336 - 7.14741i) q^{49} +(2.87139 - 4.09330i) q^{50} +(-9.73349 - 4.44514i) q^{51} +(2.10975 - 2.81829i) q^{52} +(-1.06201 - 1.94492i) q^{53} +(-1.87872 - 2.92335i) q^{54} +(4.97967 + 7.49167i) q^{55} +(-1.10904 - 3.77706i) q^{56} +(0.250028 + 3.49585i) q^{57} +(0.336612 + 4.70645i) q^{58} +(3.42341 + 11.6591i) q^{59} +(4.56137 + 0.918756i) q^{60} +(-1.10856 - 1.72495i) q^{61} +(2.82833 + 5.17969i) q^{62} +(-3.13764 + 4.19139i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(-5.47978 + 5.65164i) q^{65} +(-4.52588 + 7.04241i) q^{66} +(5.64441 + 0.403696i) q^{67} +(-3.63615 - 3.63615i) q^{68} +(7.31032 - 6.79338i) q^{69} +(1.38705 + 8.69234i) q^{70} +(8.02440 + 9.26066i) q^{71} +(0.282719 + 1.29964i) q^{72} +(2.73247 + 3.65015i) q^{73} +(-0.228309 + 0.499927i) q^{74} +(-9.85597 - 3.33328i) q^{75} +(-0.474517 + 1.61606i) q^{76} +(-15.4746 - 3.36630i) q^{77} +(-6.86379 - 2.56006i) q^{78} +(13.5678 - 3.98387i) q^{79} +(1.89954 + 1.17973i) q^{80} +(-7.34827 + 8.48035i) q^{81} +(-6.15108 - 3.35874i) q^{82} +(4.13065 - 11.0747i) q^{83} +(-6.89103 + 4.42860i) q^{84} +(7.03209 + 9.09757i) q^{85} +(0.997384 - 0.143402i) q^{86} +(9.19949 - 3.43123i) q^{87} +(-3.22057 + 2.41089i) q^{88} +(5.99039 + 3.84979i) q^{89} +(-0.257935 - 2.96284i) q^{90} -13.8584i q^{91} +(4.43249 - 1.83113i) q^{92} +(8.68358 - 8.68358i) q^{93} +(-8.91873 + 7.72812i) q^{94} +(1.51145 - 3.44957i) q^{95} +(-0.296139 + 2.05969i) q^{96} +(0.678744 + 1.81978i) q^{97} +(-6.80151 - 5.09155i) q^{98} +(5.13397 + 1.50747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0713392 0.997452i 0.0504444 0.705305i
\(3\) −2.03332 + 0.442321i −1.17394 + 0.255374i −0.756910 0.653519i \(-0.773292\pi\)
−0.417028 + 0.908894i \(0.636928\pi\)
\(4\) −0.989821 0.142315i −0.494911 0.0711574i
\(5\) 2.15496 + 0.596778i 0.963728 + 0.266887i
\(6\) 0.296139 + 2.05969i 0.120898 + 0.840866i
\(7\) −3.45500 + 1.88657i −1.30587 + 0.713057i −0.973194 0.229986i \(-0.926132\pi\)
−0.332672 + 0.943043i \(0.607950\pi\)
\(8\) −0.212565 + 0.977147i −0.0751532 + 0.345474i
\(9\) 1.20984 0.552516i 0.403281 0.184172i
\(10\) 0.748990 2.10690i 0.236852 0.666259i
\(11\) 3.04037 + 2.63450i 0.916707 + 0.794331i 0.979028 0.203725i \(-0.0653049\pi\)
−0.0623213 + 0.998056i \(0.519850\pi\)
\(12\) 2.07557 0.148448i 0.599166 0.0428532i
\(13\) −1.68719 + 3.08985i −0.467942 + 0.856971i 0.532006 + 0.846740i \(0.321438\pi\)
−0.999948 + 0.0102304i \(0.996743\pi\)
\(14\) 1.63529 + 3.58078i 0.437049 + 0.957004i
\(15\) −4.64569 0.260254i −1.19951 0.0671973i
\(16\) 0.959493 + 0.281733i 0.239873 + 0.0704331i
\(17\) 4.11662 + 3.08166i 0.998427 + 0.747413i 0.967697 0.252114i \(-0.0811259\pi\)
0.0307298 + 0.999528i \(0.490217\pi\)
\(18\) −0.464799 1.24618i −0.109554 0.293726i
\(19\) 0.239698 1.66714i 0.0549906 0.382468i −0.943677 0.330867i \(-0.892659\pi\)
0.998668 0.0516004i \(-0.0164322\pi\)
\(20\) −2.04810 0.897386i −0.457968 0.200662i
\(21\) 6.19064 5.36422i 1.35091 1.17057i
\(22\) 2.84468 2.84468i 0.606489 0.606489i
\(23\) −4.12677 + 2.44330i −0.860492 + 0.509464i
\(24\) 2.08087i 0.424757i
\(25\) 4.28771 + 2.57207i 0.857543 + 0.514413i
\(26\) 2.96162 + 1.90332i 0.580821 + 0.373271i
\(27\) 2.78187 2.08248i 0.535371 0.400774i
\(28\) 3.68832 1.37567i 0.697026 0.259977i
\(29\) −4.67045 + 0.671509i −0.867280 + 0.124696i −0.561571 0.827429i \(-0.689803\pi\)
−0.305710 + 0.952125i \(0.598894\pi\)
\(30\) −0.591011 + 4.61529i −0.107903 + 0.842632i
\(31\) −4.96472 + 3.19063i −0.891691 + 0.573055i −0.904315 0.426865i \(-0.859618\pi\)
0.0126244 + 0.999920i \(0.495981\pi\)
\(32\) 0.349464 0.936950i 0.0617771 0.165631i
\(33\) −7.34734 4.01195i −1.27901 0.698391i
\(34\) 3.36749 3.88629i 0.577520 0.666493i
\(35\) −8.57124 + 2.00362i −1.44880 + 0.338674i
\(36\) −1.27616 + 0.374714i −0.212693 + 0.0624523i
\(37\) −0.514940 0.192063i −0.0846556 0.0315749i 0.306780 0.951781i \(-0.400749\pi\)
−0.391435 + 0.920206i \(0.628021\pi\)
\(38\) −1.64579 0.358020i −0.266983 0.0580785i
\(39\) 2.06388 7.02893i 0.330486 1.12553i
\(40\) −1.04121 + 1.97886i −0.164630 + 0.312885i
\(41\) 2.91137 6.37502i 0.454680 0.995610i −0.533988 0.845492i \(-0.679307\pi\)
0.988668 0.150118i \(-0.0479655\pi\)
\(42\) −4.90892 6.55754i −0.757462 1.01185i
\(43\) 0.214189 + 0.984612i 0.0326636 + 0.150152i 0.990590 0.136861i \(-0.0437014\pi\)
−0.957927 + 0.287013i \(0.907338\pi\)
\(44\) −2.63450 3.04037i −0.397166 0.458353i
\(45\) 2.93689 0.468644i 0.437806 0.0698613i
\(46\) 2.14268 + 4.29056i 0.315921 + 0.632609i
\(47\) −8.34469 8.34469i −1.21720 1.21720i −0.968609 0.248589i \(-0.920033\pi\)
−0.248589 0.968609i \(-0.579967\pi\)
\(48\) −2.07557 0.148448i −0.299583 0.0214266i
\(49\) 4.59336 7.14741i 0.656195 1.02106i
\(50\) 2.87139 4.09330i 0.406076 0.578880i
\(51\) −9.73349 4.44514i −1.36296 0.622444i
\(52\) 2.10975 2.81829i 0.292569 0.390827i
\(53\) −1.06201 1.94492i −0.145878 0.267155i 0.794516 0.607244i \(-0.207725\pi\)
−0.940393 + 0.340088i \(0.889543\pi\)
\(54\) −1.87872 2.92335i −0.255661 0.397817i
\(55\) 4.97967 + 7.49167i 0.671459 + 1.01018i
\(56\) −1.10904 3.77706i −0.148202 0.504731i
\(57\) 0.250028 + 3.49585i 0.0331170 + 0.463036i
\(58\) 0.336612 + 4.70645i 0.0441993 + 0.617988i
\(59\) 3.42341 + 11.6591i 0.445690 + 1.51788i 0.809903 + 0.586564i \(0.199520\pi\)
−0.364213 + 0.931316i \(0.618662\pi\)
\(60\) 4.56137 + 0.918756i 0.588870 + 0.118611i
\(61\) −1.10856 1.72495i −0.141936 0.220857i 0.763006 0.646391i \(-0.223723\pi\)
−0.904942 + 0.425534i \(0.860086\pi\)
\(62\) 2.82833 + 5.17969i 0.359198 + 0.657822i
\(63\) −3.13764 + 4.19139i −0.395305 + 0.528066i
\(64\) −0.909632 0.415415i −0.113704 0.0519269i
\(65\) −5.47978 + 5.65164i −0.679683 + 0.700999i
\(66\) −4.52588 + 7.04241i −0.557098 + 0.866861i
\(67\) 5.64441 + 0.403696i 0.689574 + 0.0493193i 0.411729 0.911306i \(-0.364925\pi\)
0.277845 + 0.960626i \(0.410380\pi\)
\(68\) −3.63615 3.63615i −0.440948 0.440948i
\(69\) 7.31032 6.79338i 0.880059 0.817827i
\(70\) 1.38705 + 8.69234i 0.165784 + 1.03893i
\(71\) 8.02440 + 9.26066i 0.952322 + 1.09904i 0.994993 + 0.0999485i \(0.0318678\pi\)
−0.0426710 + 0.999089i \(0.513587\pi\)
\(72\) 0.282719 + 1.29964i 0.0333188 + 0.153164i
\(73\) 2.73247 + 3.65015i 0.319811 + 0.427217i 0.931422 0.363941i \(-0.118569\pi\)
−0.611611 + 0.791159i \(0.709478\pi\)
\(74\) −0.228309 + 0.499927i −0.0265404 + 0.0581153i
\(75\) −9.85597 3.33328i −1.13807 0.384894i
\(76\) −0.474517 + 1.61606i −0.0544308 + 0.185374i
\(77\) −15.4746 3.36630i −1.76350 0.383626i
\(78\) −6.86379 2.56006i −0.777171 0.289870i
\(79\) 13.5678 3.98387i 1.52650 0.448221i 0.592523 0.805554i \(-0.298132\pi\)
0.933977 + 0.357333i \(0.116314\pi\)
\(80\) 1.89954 + 1.17973i 0.212375 + 0.131897i
\(81\) −7.34827 + 8.48035i −0.816474 + 0.942261i
\(82\) −6.15108 3.35874i −0.679273 0.370911i
\(83\) 4.13065 11.0747i 0.453398 1.21561i −0.486357 0.873760i \(-0.661675\pi\)
0.939756 0.341847i \(-0.111053\pi\)
\(84\) −6.89103 + 4.42860i −0.751873 + 0.483200i
\(85\) 7.03209 + 9.09757i 0.762737 + 0.986770i
\(86\) 0.997384 0.143402i 0.107551 0.0154634i
\(87\) 9.19949 3.43123i 0.986289 0.367867i
\(88\) −3.22057 + 2.41089i −0.343314 + 0.257002i
\(89\) 5.99039 + 3.84979i 0.634980 + 0.408077i 0.818150 0.575004i \(-0.195000\pi\)
−0.183171 + 0.983081i \(0.558636\pi\)
\(90\) −0.257935 2.96284i −0.0271887 0.312311i
\(91\) 13.8584i 1.45276i
\(92\) 4.43249 1.83113i 0.462119 0.190909i
\(93\) 8.68358 8.68358i 0.900445 0.900445i
\(94\) −8.91873 + 7.72812i −0.919897 + 0.797095i
\(95\) 1.51145 3.44957i 0.155072 0.353919i
\(96\) −0.296139 + 2.05969i −0.0302246 + 0.210217i
\(97\) 0.678744 + 1.81978i 0.0689160 + 0.184771i 0.966842 0.255376i \(-0.0821992\pi\)
−0.897926 + 0.440147i \(0.854926\pi\)
\(98\) −6.80151 5.09155i −0.687057 0.514324i
\(99\) 5.13397 + 1.50747i 0.515984 + 0.151506i
\(100\) −3.87803 3.15609i −0.387803 0.315609i
\(101\) −5.46309 11.9625i −0.543598 1.19031i −0.959708 0.280999i \(-0.909334\pi\)
0.416110 0.909314i \(-0.363393\pi\)
\(102\) −5.12819 + 9.39158i −0.507766 + 0.929905i
\(103\) 18.4503 1.31959i 1.81796 0.130023i 0.879609 0.475697i \(-0.157804\pi\)
0.938355 + 0.345674i \(0.112350\pi\)
\(104\) −2.66060 2.30543i −0.260894 0.226066i
\(105\) 16.5418 7.86525i 1.61432 0.767569i
\(106\) −2.01573 + 0.920551i −0.195785 + 0.0894118i
\(107\) −1.50686 + 6.92694i −0.145674 + 0.669653i 0.845154 + 0.534523i \(0.179509\pi\)
−0.990828 + 0.135130i \(0.956855\pi\)
\(108\) −3.04992 + 1.66538i −0.293479 + 0.160252i
\(109\) 0.448085 + 3.11650i 0.0429188 + 0.298507i 0.999963 + 0.00856580i \(0.00272661\pi\)
−0.957045 + 0.289941i \(0.906364\pi\)
\(110\) 7.82782 4.43254i 0.746354 0.422626i
\(111\) 1.13199 + 0.162756i 0.107444 + 0.0154481i
\(112\) −3.84655 + 0.836766i −0.363465 + 0.0790670i
\(113\) −0.165972 + 2.32059i −0.0156133 + 0.218302i 0.983655 + 0.180062i \(0.0576298\pi\)
−0.999269 + 0.0382404i \(0.987825\pi\)
\(114\) 3.50478 0.328253
\(115\) −10.3511 + 2.80246i −0.965249 + 0.261331i
\(116\) 4.71848 0.438099
\(117\) −0.334036 + 4.67043i −0.0308816 + 0.431781i
\(118\) 11.8736 2.58294i 1.09305 0.237779i
\(119\) −20.0367 2.88084i −1.83676 0.264086i
\(120\) 1.24182 4.48420i 0.113362 0.409350i
\(121\) 0.737824 + 5.13168i 0.0670749 + 0.466516i
\(122\) −1.79964 + 0.982678i −0.162932 + 0.0889675i
\(123\) −3.09994 + 14.2502i −0.279512 + 1.28490i
\(124\) 5.36826 2.45160i 0.482084 0.220161i
\(125\) 7.70490 + 8.10151i 0.689147 + 0.724621i
\(126\) 3.95688 + 3.42865i 0.352507 + 0.305449i
\(127\) 10.5953 0.757790i 0.940180 0.0672430i 0.407170 0.913352i \(-0.366516\pi\)
0.533009 + 0.846109i \(0.321061\pi\)
\(128\) −0.479249 + 0.877679i −0.0423600 + 0.0775766i
\(129\) −0.871030 1.90729i −0.0766899 0.167928i
\(130\) 5.24631 + 5.86900i 0.460132 + 0.514745i
\(131\) −13.2034 3.87686i −1.15358 0.338723i −0.351648 0.936132i \(-0.614379\pi\)
−0.801937 + 0.597409i \(0.796197\pi\)
\(132\) 6.70160 + 5.01675i 0.583299 + 0.436652i
\(133\) 2.31702 + 6.21216i 0.200911 + 0.538663i
\(134\) 0.805335 5.60123i 0.0695703 0.483872i
\(135\) 7.23760 2.82751i 0.622914 0.243353i
\(136\) −3.88629 + 3.36749i −0.333247 + 0.288760i
\(137\) 3.84645 3.84645i 0.328625 0.328625i −0.523439 0.852063i \(-0.675351\pi\)
0.852063 + 0.523439i \(0.175351\pi\)
\(138\) −6.25456 7.77633i −0.532423 0.661965i
\(139\) 1.69372i 0.143659i 0.997417 + 0.0718297i \(0.0228838\pi\)
−0.997417 + 0.0718297i \(0.977116\pi\)
\(140\) 8.76915 0.763412i 0.741128 0.0645201i
\(141\) 20.6584 + 13.2764i 1.73976 + 1.11807i
\(142\) 9.80952 7.34331i 0.823196 0.616237i
\(143\) −13.2699 + 4.94941i −1.10968 + 0.413891i
\(144\) 1.31650 0.189284i 0.109708 0.0157736i
\(145\) −10.4654 1.34014i −0.869102 0.111293i
\(146\) 3.83578 2.46511i 0.317451 0.204014i
\(147\) −6.17832 + 16.5647i −0.509579 + 1.36623i
\(148\) 0.482365 + 0.263391i 0.0396502 + 0.0216506i
\(149\) −11.4940 + 13.2648i −0.941625 + 1.08669i 0.0544798 + 0.998515i \(0.482650\pi\)
−0.996105 + 0.0881782i \(0.971895\pi\)
\(150\) −4.02791 + 9.59306i −0.328877 + 0.783270i
\(151\) 2.94415 0.864480i 0.239592 0.0703504i −0.159732 0.987160i \(-0.551063\pi\)
0.399324 + 0.916810i \(0.369245\pi\)
\(152\) 1.57809 + 0.588596i 0.128000 + 0.0477415i
\(153\) 6.68313 + 1.45383i 0.540299 + 0.117535i
\(154\) −4.46167 + 15.1951i −0.359532 + 1.22445i
\(155\) −12.6029 + 3.91286i −1.01229 + 0.314288i
\(156\) −3.04320 + 6.66367i −0.243651 + 0.533521i
\(157\) −11.5603 15.4427i −0.922611 1.23246i −0.972309 0.233700i \(-0.924917\pi\)
0.0496976 0.998764i \(-0.484174\pi\)
\(158\) −3.00581 13.8175i −0.239129 1.09926i
\(159\) 3.01968 + 3.48489i 0.239476 + 0.276370i
\(160\) 1.31223 1.81054i 0.103741 0.143136i
\(161\) 9.64852 16.2271i 0.760410 1.27887i
\(162\) 7.93452 + 7.93452i 0.623395 + 0.623395i
\(163\) −7.81148 0.558688i −0.611842 0.0437598i −0.238020 0.971260i \(-0.576498\pi\)
−0.373822 + 0.927500i \(0.621953\pi\)
\(164\) −3.78900 + 5.89580i −0.295871 + 0.460384i
\(165\) −13.4390 13.0303i −1.04622 1.01441i
\(166\) −10.7518 4.91019i −0.834503 0.381105i
\(167\) 13.0278 17.4031i 1.00812 1.34669i 0.0710806 0.997471i \(-0.477355\pi\)
0.937040 0.349221i \(-0.113554\pi\)
\(168\) 3.92571 + 7.18941i 0.302875 + 0.554675i
\(169\) 0.327742 + 0.509977i 0.0252109 + 0.0392290i
\(170\) 9.57606 6.36516i 0.734450 0.488185i
\(171\) −0.631124 2.14941i −0.0482633 0.164370i
\(172\) −0.0718842 1.00507i −0.00548112 0.0766361i
\(173\) 1.44037 + 20.1390i 0.109509 + 1.53114i 0.694139 + 0.719841i \(0.255785\pi\)
−0.584630 + 0.811300i \(0.698760\pi\)
\(174\) −2.76621 9.42083i −0.209705 0.714191i
\(175\) −19.6664 0.797403i −1.48664 0.0602780i
\(176\) 2.17499 + 3.38435i 0.163946 + 0.255105i
\(177\) −12.1179 22.1923i −0.910840 1.66808i
\(178\) 4.26733 5.70048i 0.319850 0.427269i
\(179\) 3.50389 + 1.60017i 0.261893 + 0.119602i 0.542035 0.840356i \(-0.317654\pi\)
−0.280142 + 0.959959i \(0.590381\pi\)
\(180\) −2.97369 + 0.0459109i −0.221646 + 0.00342200i
\(181\) 2.42084 3.76691i 0.179940 0.279992i −0.739553 0.673098i \(-0.764963\pi\)
0.919493 + 0.393106i \(0.128599\pi\)
\(182\) −13.8231 0.988649i −1.02464 0.0732835i
\(183\) 3.01704 + 3.01704i 0.223026 + 0.223026i
\(184\) −1.51026 4.55183i −0.111338 0.335565i
\(185\) −0.995057 0.721193i −0.0731581 0.0530231i
\(186\) −8.04198 9.28094i −0.589666 0.680511i
\(187\) 4.39743 + 20.2146i 0.321572 + 1.47824i
\(188\) 7.07218 + 9.44733i 0.515792 + 0.689017i
\(189\) −5.68260 + 12.4432i −0.413349 + 0.905107i
\(190\) −3.33296 1.75369i −0.241798 0.127226i
\(191\) −5.03543 + 17.1491i −0.364351 + 1.24087i 0.549733 + 0.835341i \(0.314730\pi\)
−0.914084 + 0.405526i \(0.867089\pi\)
\(192\) 2.03332 + 0.442321i 0.146742 + 0.0319218i
\(193\) 9.03751 + 3.37082i 0.650534 + 0.242637i 0.652997 0.757360i \(-0.273511\pi\)
−0.00246325 + 0.999997i \(0.500784\pi\)
\(194\) 1.86357 0.547192i 0.133796 0.0392861i
\(195\) 8.64230 13.9154i 0.618888 0.996503i
\(196\) −5.56379 + 6.42096i −0.397414 + 0.458640i
\(197\) 5.90158 + 3.22251i 0.420470 + 0.229594i 0.675532 0.737331i \(-0.263914\pi\)
−0.255062 + 0.966925i \(0.582096\pi\)
\(198\) 1.86988 5.01335i 0.132887 0.356283i
\(199\) 0.0437157 0.0280944i 0.00309893 0.00199156i −0.539090 0.842248i \(-0.681232\pi\)
0.542189 + 0.840256i \(0.317596\pi\)
\(200\) −3.42470 + 3.64299i −0.242163 + 0.257599i
\(201\) −11.6554 + 1.67580i −0.822112 + 0.118202i
\(202\) −12.3218 + 4.59578i −0.866956 + 0.323358i
\(203\) 14.8695 11.1312i 1.04364 0.781256i
\(204\) 9.00181 + 5.78511i 0.630253 + 0.405039i
\(205\) 10.0784 12.0005i 0.703903 0.838149i
\(206\) 18.4974i 1.28878i
\(207\) −3.64278 + 5.23612i −0.253191 + 0.363936i
\(208\) −2.48936 + 2.48936i −0.172606 + 0.172606i
\(209\) 5.12085 4.43724i 0.354216 0.306930i
\(210\) −6.66513 17.0608i −0.459937 1.17731i
\(211\) −0.0322764 + 0.224487i −0.00222200 + 0.0154543i −0.990902 0.134583i \(-0.957030\pi\)
0.988680 + 0.150038i \(0.0479395\pi\)
\(212\) 0.774405 + 2.07626i 0.0531864 + 0.142598i
\(213\) −20.4124 15.2805i −1.39863 1.04700i
\(214\) 6.80179 + 1.99719i 0.464961 + 0.136525i
\(215\) −0.126025 + 2.24962i −0.00859484 + 0.153423i
\(216\) 1.44356 + 3.16096i 0.0982220 + 0.215076i
\(217\) 11.1337 20.3899i 0.755808 1.38416i
\(218\) 3.14053 0.224615i 0.212703 0.0152129i
\(219\) −7.17051 6.21328i −0.484538 0.419855i
\(220\) −3.86281 8.12409i −0.260431 0.547726i
\(221\) −16.4674 + 7.52041i −1.10772 + 0.505877i
\(222\) 0.243096 1.11750i 0.0163156 0.0750014i
\(223\) 9.43910 5.15414i 0.632089 0.345147i −0.131055 0.991375i \(-0.541837\pi\)
0.763144 + 0.646228i \(0.223655\pi\)
\(224\) 0.560224 + 3.89645i 0.0374316 + 0.260342i
\(225\) 6.60856 + 0.742761i 0.440571 + 0.0495174i
\(226\) 2.30283 + 0.331097i 0.153182 + 0.0220243i
\(227\) −14.8434 + 3.22899i −0.985194 + 0.214316i −0.676176 0.736740i \(-0.736364\pi\)
−0.309018 + 0.951056i \(0.600000\pi\)
\(228\) 0.250028 3.49585i 0.0165585 0.231518i
\(229\) −23.6433 −1.56239 −0.781196 0.624286i \(-0.785390\pi\)
−0.781196 + 0.624286i \(0.785390\pi\)
\(230\) 2.05688 + 10.5247i 0.135626 + 0.693978i
\(231\) 32.9539 2.16821
\(232\) 0.336612 4.70645i 0.0220997 0.308994i
\(233\) 25.3921 5.52371i 1.66349 0.361870i 0.720182 0.693785i \(-0.244058\pi\)
0.943309 + 0.331915i \(0.107695\pi\)
\(234\) 4.63470 + 0.666369i 0.302980 + 0.0435619i
\(235\) −13.0026 22.9624i −0.848193 1.49790i
\(236\) −1.72931 12.0276i −0.112568 0.782929i
\(237\) −25.8256 + 14.1018i −1.67755 + 0.916012i
\(238\) −4.30290 + 19.7801i −0.278916 + 1.28215i
\(239\) 10.4380 4.76688i 0.675179 0.308344i −0.0481574 0.998840i \(-0.515335\pi\)
0.723336 + 0.690496i \(0.242608\pi\)
\(240\) −4.38419 1.55855i −0.282998 0.100604i
\(241\) −5.81282 5.03684i −0.374437 0.324451i 0.447231 0.894419i \(-0.352410\pi\)
−0.821667 + 0.569967i \(0.806956\pi\)
\(242\) 5.17124 0.369854i 0.332420 0.0237751i
\(243\) 6.19417 11.3438i 0.397356 0.727704i
\(244\) 0.851789 + 1.86516i 0.0545302 + 0.119405i
\(245\) 14.1639 12.6612i 0.904900 0.808893i
\(246\) 13.9927 + 4.10864i 0.892145 + 0.261957i
\(247\) 4.74680 + 3.55341i 0.302031 + 0.226098i
\(248\) −2.06239 5.52948i −0.130962 0.351123i
\(249\) −3.50035 + 24.3455i −0.221826 + 1.54283i
\(250\) 8.63053 7.10732i 0.545843 0.449506i
\(251\) 1.40073 1.21374i 0.0884132 0.0766105i −0.609533 0.792761i \(-0.708643\pi\)
0.697946 + 0.716150i \(0.254098\pi\)
\(252\) 3.70220 3.70220i 0.233217 0.233217i
\(253\) −18.9838 3.44342i −1.19350 0.216486i
\(254\) 10.6224i 0.666506i
\(255\) −18.3225 15.3878i −1.14740 0.963623i
\(256\) 0.841254 + 0.540641i 0.0525783 + 0.0337901i
\(257\) −6.81053 + 5.09830i −0.424829 + 0.318023i −0.790211 0.612834i \(-0.790029\pi\)
0.365382 + 0.930858i \(0.380938\pi\)
\(258\) −1.96457 + 0.732746i −0.122309 + 0.0456188i
\(259\) 2.14146 0.307895i 0.133064 0.0191317i
\(260\) 6.22831 4.81426i 0.386264 0.298568i
\(261\) −5.27948 + 3.39292i −0.326792 + 0.210016i
\(262\) −4.80890 + 12.8932i −0.297095 + 0.796543i
\(263\) −18.1118 9.88978i −1.11682 0.609830i −0.188672 0.982040i \(-0.560418\pi\)
−0.928149 + 0.372210i \(0.878600\pi\)
\(264\) 5.48206 6.32663i 0.337397 0.389377i
\(265\) −1.12790 4.82500i −0.0692862 0.296398i
\(266\) 6.36163 1.86794i 0.390057 0.114531i
\(267\) −13.8832 5.17817i −0.849639 0.316899i
\(268\) −5.52950 1.20287i −0.337768 0.0734770i
\(269\) 4.12067 14.0337i 0.251242 0.855651i −0.733211 0.680001i \(-0.761979\pi\)
0.984453 0.175650i \(-0.0562026\pi\)
\(270\) −2.30398 7.42087i −0.140216 0.451620i
\(271\) 4.61184 10.0985i 0.280149 0.613441i −0.716286 0.697807i \(-0.754159\pi\)
0.996435 + 0.0843662i \(0.0268866\pi\)
\(272\) 3.08166 + 4.11662i 0.186853 + 0.249607i
\(273\) 6.12988 + 28.1786i 0.370997 + 1.70545i
\(274\) −3.56225 4.11106i −0.215203 0.248358i
\(275\) 6.26014 + 19.1160i 0.377501 + 1.15274i
\(276\) −8.20271 + 5.68386i −0.493745 + 0.342128i
\(277\) 20.3447 + 20.3447i 1.22239 + 1.22239i 0.966779 + 0.255613i \(0.0822773\pi\)
0.255613 + 0.966779i \(0.417723\pi\)
\(278\) 1.68940 + 0.120828i 0.101324 + 0.00724681i
\(279\) −4.24365 + 6.60325i −0.254061 + 0.395326i
\(280\) −0.135883 8.80126i −0.00812056 0.525976i
\(281\) −4.91139 2.24296i −0.292989 0.133804i 0.263498 0.964660i \(-0.415124\pi\)
−0.556487 + 0.830856i \(0.687851\pi\)
\(282\) 14.7163 19.6587i 0.876343 1.17066i
\(283\) −4.17894 7.65315i −0.248412 0.454933i 0.723485 0.690340i \(-0.242539\pi\)
−0.971897 + 0.235408i \(0.924357\pi\)
\(284\) −6.62480 10.3084i −0.393109 0.611690i
\(285\) −1.54744 + 7.68263i −0.0916627 + 0.455080i
\(286\) 3.99014 + 13.5892i 0.235942 + 0.803544i
\(287\) 1.96814 + 27.5182i 0.116176 + 1.62435i
\(288\) −0.0948835 1.32665i −0.00559107 0.0781733i
\(289\) 2.66046 + 9.06071i 0.156498 + 0.532983i
\(290\) −2.08332 + 10.3431i −0.122337 + 0.607368i
\(291\) −2.18503 3.39997i −0.128089 0.199310i
\(292\) −2.18518 4.00186i −0.127878 0.234191i
\(293\) 13.5146 18.0534i 0.789531 1.05469i −0.207541 0.978226i \(-0.566546\pi\)
0.997072 0.0764641i \(-0.0243631\pi\)
\(294\) 16.0817 + 7.34429i 0.937907 + 0.428328i
\(295\) 0.419445 + 27.1678i 0.0244210 + 1.58177i
\(296\) 0.297132 0.462346i 0.0172704 0.0268733i
\(297\) 13.9442 + 0.997310i 0.809126 + 0.0578698i
\(298\) 12.4110 + 12.4110i 0.718951 + 0.718951i
\(299\) −0.586812 16.8734i −0.0339362 0.975816i
\(300\) 9.28127 + 4.70200i 0.535854 + 0.271470i
\(301\) −2.59756 2.99775i −0.149721 0.172787i
\(302\) −0.652245 2.99832i −0.0375325 0.172534i
\(303\) 16.3995 + 21.9071i 0.942126 + 1.25853i
\(304\) 0.699676 1.53208i 0.0401292 0.0878706i
\(305\) −1.35949 4.37877i −0.0778441 0.250727i
\(306\) 1.92689 6.56239i 0.110153 0.375147i
\(307\) 27.5511 + 5.99337i 1.57242 + 0.342060i 0.912437 0.409218i \(-0.134198\pi\)
0.659987 + 0.751277i \(0.270562\pi\)
\(308\) 14.8381 + 5.53431i 0.845477 + 0.315347i
\(309\) −36.9317 + 10.8441i −2.10097 + 0.616901i
\(310\) 3.00381 + 12.8499i 0.170605 + 0.729826i
\(311\) 8.00719 9.24079i 0.454046 0.523997i −0.481859 0.876249i \(-0.660038\pi\)
0.935905 + 0.352252i \(0.114584\pi\)
\(312\) 6.42959 + 3.51082i 0.364004 + 0.198761i
\(313\) −8.48767 + 22.7563i −0.479752 + 1.28626i 0.441488 + 0.897267i \(0.354451\pi\)
−0.921239 + 0.388996i \(0.872822\pi\)
\(314\) −16.2281 + 10.4292i −0.915804 + 0.588551i
\(315\) −9.26281 + 7.15981i −0.521900 + 0.403410i
\(316\) −13.9967 + 2.01242i −0.787375 + 0.113208i
\(317\) −23.7369 + 8.85341i −1.33320 + 0.497257i −0.912178 0.409794i \(-0.865601\pi\)
−0.421020 + 0.907051i \(0.638328\pi\)
\(318\) 3.69143 2.76337i 0.207005 0.154962i
\(319\) −15.9690 10.2626i −0.894092 0.574598i
\(320\) −1.71231 1.43805i −0.0957211 0.0803895i
\(321\) 14.7512i 0.823332i
\(322\) −15.4974 10.7816i −0.863636 0.600833i
\(323\) 6.12431 6.12431i 0.340766 0.340766i
\(324\) 8.48035 7.34827i 0.471131 0.408237i
\(325\) −15.1815 + 8.90884i −0.842117 + 0.494174i
\(326\) −1.11453 + 7.75172i −0.0617281 + 0.429328i
\(327\) −2.28960 6.13865i −0.126615 0.339468i
\(328\) 5.61047 + 4.19995i 0.309786 + 0.231903i
\(329\) 44.5737 + 13.0880i 2.45743 + 0.721566i
\(330\) −13.9559 + 12.4752i −0.768245 + 0.686736i
\(331\) −3.43651 7.52492i −0.188888 0.413607i 0.791368 0.611340i \(-0.209369\pi\)
−0.980256 + 0.197733i \(0.936642\pi\)
\(332\) −5.66470 + 10.3741i −0.310891 + 0.569354i
\(333\) −0.729114 + 0.0521473i −0.0399552 + 0.00285765i
\(334\) −16.4294 14.2361i −0.898975 0.778966i
\(335\) 11.9226 + 4.23841i 0.651399 + 0.231569i
\(336\) 7.45115 3.40283i 0.406493 0.185639i
\(337\) −0.881054 + 4.05014i −0.0479941 + 0.220625i −0.994897 0.100894i \(-0.967830\pi\)
0.946903 + 0.321519i \(0.104193\pi\)
\(338\) 0.532058 0.290526i 0.0289402 0.0158025i
\(339\) −0.688972 4.79190i −0.0374198 0.260261i
\(340\) −5.66579 10.0057i −0.307271 0.542638i
\(341\) −23.5003 3.37884i −1.27261 0.182974i
\(342\) −2.18896 + 0.476179i −0.118365 + 0.0257488i
\(343\) −0.420159 + 5.87459i −0.0226864 + 0.317198i
\(344\) −1.00764 −0.0543283
\(345\) 19.8076 10.2768i 1.06640 0.553286i
\(346\) 20.1905 1.08545
\(347\) −1.76391 + 24.6627i −0.0946917 + 1.32396i 0.698771 + 0.715345i \(0.253730\pi\)
−0.793463 + 0.608618i \(0.791724\pi\)
\(348\) −9.59417 + 2.08708i −0.514301 + 0.111879i
\(349\) −17.4342 2.50666i −0.933233 0.134179i −0.341107 0.940024i \(-0.610802\pi\)
−0.592126 + 0.805846i \(0.701711\pi\)
\(350\) −2.19836 + 19.5594i −0.117507 + 1.04549i
\(351\) 1.74103 + 12.1091i 0.0929291 + 0.646336i
\(352\) 3.53089 1.92801i 0.188197 0.102763i
\(353\) −0.654948 + 3.01075i −0.0348594 + 0.160246i −0.991286 0.131727i \(-0.957948\pi\)
0.956427 + 0.291972i \(0.0943116\pi\)
\(354\) −23.0003 + 10.5039i −1.22245 + 0.558275i
\(355\) 11.7657 + 24.7451i 0.624460 + 1.31334i
\(356\) −5.38153 4.66312i −0.285221 0.247145i
\(357\) 42.0152 3.00499i 2.22368 0.159041i
\(358\) 1.84606 3.38080i 0.0975672 0.178681i
\(359\) −0.926627 2.02903i −0.0489055 0.107088i 0.883602 0.468239i \(-0.155111\pi\)
−0.932507 + 0.361151i \(0.882384\pi\)
\(360\) −0.166347 + 2.96939i −0.00876725 + 0.156501i
\(361\) 15.5085 + 4.55370i 0.816235 + 0.239668i
\(362\) −3.58461 2.68340i −0.188403 0.141037i
\(363\) −3.77008 10.1080i −0.197878 0.530531i
\(364\) −1.97226 + 13.7174i −0.103374 + 0.718985i
\(365\) 3.71003 + 9.49660i 0.194192 + 0.497075i
\(366\) 3.22458 2.79412i 0.168552 0.146051i
\(367\) −11.5918 + 11.5918i −0.605086 + 0.605086i −0.941658 0.336572i \(-0.890733\pi\)
0.336572 + 0.941658i \(0.390733\pi\)
\(368\) −4.64797 + 1.18169i −0.242292 + 0.0615997i
\(369\) 9.32134i 0.485250i
\(370\) −0.790342 + 0.941073i −0.0410879 + 0.0489240i
\(371\) 7.33845 + 4.71614i 0.380993 + 0.244850i
\(372\) −9.83100 + 7.35939i −0.509713 + 0.381567i
\(373\) 29.1255 10.8633i 1.50806 0.562478i 0.546596 0.837397i \(-0.315924\pi\)
0.961468 + 0.274918i \(0.0886508\pi\)
\(374\) 20.4768 2.94413i 1.05883 0.152237i
\(375\) −19.2500 13.0649i −0.994065 0.674669i
\(376\) 9.92778 6.38020i 0.511986 0.329033i
\(377\) 5.80506 15.5640i 0.298976 0.801585i
\(378\) 12.0061 + 6.55581i 0.617525 + 0.337194i
\(379\) 16.2692 18.7757i 0.835692 0.964441i −0.164065 0.986449i \(-0.552461\pi\)
0.999758 + 0.0220089i \(0.00700623\pi\)
\(380\) −1.98699 + 3.19936i −0.101931 + 0.164124i
\(381\) −21.2084 + 6.22735i −1.08654 + 0.319037i
\(382\) 16.7462 + 6.24601i 0.856810 + 0.319574i
\(383\) −15.4232 3.35511i −0.788089 0.171438i −0.199529 0.979892i \(-0.563941\pi\)
−0.588560 + 0.808454i \(0.700305\pi\)
\(384\) 0.586250 1.99658i 0.0299169 0.101888i
\(385\) −31.3383 16.4892i −1.59715 0.840366i
\(386\) 4.00696 8.77401i 0.203949 0.446585i
\(387\) 0.803149 + 1.07288i 0.0408264 + 0.0545376i
\(388\) −0.412853 1.89785i −0.0209594 0.0963490i
\(389\) 4.58691 + 5.29358i 0.232566 + 0.268395i 0.860022 0.510256i \(-0.170449\pi\)
−0.627457 + 0.778652i \(0.715904\pi\)
\(390\) −13.2634 9.61299i −0.671619 0.486773i
\(391\) −24.5178 2.65917i −1.23992 0.134480i
\(392\) 6.00768 + 6.00768i 0.303434 + 0.303434i
\(393\) 28.5615 + 2.04276i 1.44074 + 0.103044i
\(394\) 3.63531 5.65665i 0.183144 0.284978i
\(395\) 31.6156 0.488114i 1.59075 0.0245597i
\(396\) −4.86718 2.22277i −0.244585 0.111698i
\(397\) 11.9505 15.9640i 0.599777 0.801208i −0.393208 0.919449i \(-0.628635\pi\)
0.992985 + 0.118242i \(0.0377257\pi\)
\(398\) −0.0249042 0.0456086i −0.00124833 0.00228615i
\(399\) −7.45901 11.6064i −0.373418 0.581049i
\(400\) 3.38940 + 3.67587i 0.169470 + 0.183793i
\(401\) 7.00904 + 23.8706i 0.350015 + 1.19204i 0.926929 + 0.375236i \(0.122438\pi\)
−0.576915 + 0.816804i \(0.695743\pi\)
\(402\) 0.840040 + 11.7453i 0.0418974 + 0.585802i
\(403\) −1.48217 20.7235i −0.0738322 1.03231i
\(404\) 3.70504 + 12.6182i 0.184333 + 0.627780i
\(405\) −20.8961 + 13.8895i −1.03834 + 0.690177i
\(406\) −10.0420 15.6257i −0.498379 0.775492i
\(407\) −1.05962 1.94055i −0.0525235 0.0961896i
\(408\) 6.41255 8.56617i 0.317469 0.424088i
\(409\) −14.3325 6.54543i −0.708696 0.323651i 0.0282514 0.999601i \(-0.491006\pi\)
−0.736947 + 0.675950i \(0.763733\pi\)
\(410\) −11.2509 10.9088i −0.555643 0.538747i
\(411\) −6.11970 + 9.52244i −0.301863 + 0.469707i
\(412\) −18.4503 1.31959i −0.908982 0.0650117i
\(413\) −33.8235 33.8235i −1.66435 1.66435i
\(414\) 4.96291 + 4.00704i 0.243914 + 0.196935i
\(415\) 15.5105 21.4005i 0.761382 1.05051i
\(416\) 2.30543 + 2.66060i 0.113033 + 0.130447i
\(417\) −0.749168 3.44387i −0.0366869 0.168647i
\(418\) −4.06062 5.42435i −0.198611 0.265313i
\(419\) −3.72558 + 8.15789i −0.182007 + 0.398539i −0.978540 0.206055i \(-0.933937\pi\)
0.796534 + 0.604594i \(0.206665\pi\)
\(420\) −17.4928 + 5.43104i −0.853561 + 0.265008i
\(421\) −7.09736 + 24.1714i −0.345904 + 1.17804i 0.584466 + 0.811418i \(0.301304\pi\)
−0.930370 + 0.366623i \(0.880514\pi\)
\(422\) 0.221613 + 0.0482089i 0.0107879 + 0.00234677i
\(423\) −14.7063 5.48518i −0.715046 0.266698i
\(424\) 2.12622 0.624314i 0.103258 0.0303193i
\(425\) 9.72465 + 23.8015i 0.471715 + 1.15454i
\(426\) −16.6978 + 19.2703i −0.809010 + 0.933647i
\(427\) 7.08431 + 3.86833i 0.342834 + 0.187201i
\(428\) 2.47733 6.64199i 0.119746 0.321052i
\(429\) 24.7927 15.9333i 1.19700 0.769266i
\(430\) 2.23490 + 0.286190i 0.107777 + 0.0138013i
\(431\) 1.09186 0.156986i 0.0525932 0.00756176i −0.115968 0.993253i \(-0.536997\pi\)
0.168561 + 0.985691i \(0.446088\pi\)
\(432\) 3.25589 1.21438i 0.156649 0.0584271i
\(433\) 4.23513 3.17038i 0.203527 0.152359i −0.492652 0.870226i \(-0.663973\pi\)
0.696180 + 0.717868i \(0.254882\pi\)
\(434\) −19.5437 12.5600i −0.938128 0.602898i
\(435\) 21.8722 1.90412i 1.04869 0.0912956i
\(436\) 3.14855i 0.150788i
\(437\) 3.08415 + 7.46556i 0.147535 + 0.357126i
\(438\) −6.70899 + 6.70899i −0.320568 + 0.320568i
\(439\) 6.75769 5.85557i 0.322527 0.279471i −0.478515 0.878079i \(-0.658825\pi\)
0.801042 + 0.598608i \(0.204279\pi\)
\(440\) −8.37896 + 3.27340i −0.399451 + 0.156053i
\(441\) 1.60818 11.1851i 0.0765800 0.532626i
\(442\) 6.32648 + 16.9619i 0.300920 + 0.806797i
\(443\) −6.96805 5.21622i −0.331062 0.247830i 0.420796 0.907156i \(-0.361751\pi\)
−0.751858 + 0.659326i \(0.770842\pi\)
\(444\) −1.09731 0.322198i −0.0520759 0.0152909i
\(445\) 10.6116 + 11.8711i 0.503037 + 0.562743i
\(446\) −4.46763 9.78274i −0.211548 0.463226i
\(447\) 17.5037 32.0556i 0.827895 1.51618i
\(448\) 3.92648 0.280828i 0.185509 0.0132679i
\(449\) 15.8364 + 13.7223i 0.747365 + 0.647595i 0.942890 0.333103i \(-0.108096\pi\)
−0.195526 + 0.980699i \(0.562641\pi\)
\(450\) 1.21232 6.53873i 0.0571492 0.308239i
\(451\) 25.6466 11.7124i 1.20765 0.551516i
\(452\) 0.494536 2.27335i 0.0232610 0.106929i
\(453\) −5.60402 + 3.06003i −0.263300 + 0.143773i
\(454\) 2.16185 + 15.0360i 0.101461 + 0.705674i
\(455\) 8.27040 29.8644i 0.387722 1.40006i
\(456\) −3.46910 0.498782i −0.162456 0.0233576i
\(457\) −20.8109 + 4.52714i −0.973495 + 0.211771i −0.671063 0.741400i \(-0.734162\pi\)
−0.302432 + 0.953171i \(0.597798\pi\)
\(458\) −1.68669 + 23.5830i −0.0788139 + 1.10196i
\(459\) 17.8694 0.834073
\(460\) 10.6446 1.30081i 0.496308 0.0606507i
\(461\) −27.4064 −1.27644 −0.638221 0.769853i \(-0.720329\pi\)
−0.638221 + 0.769853i \(0.720329\pi\)
\(462\) 2.35090 32.8699i 0.109374 1.52925i
\(463\) −6.92573 + 1.50660i −0.321866 + 0.0700177i −0.370596 0.928794i \(-0.620846\pi\)
0.0487295 + 0.998812i \(0.484483\pi\)
\(464\) −4.67045 0.671509i −0.216820 0.0311740i
\(465\) 23.8949 13.5306i 1.10810 0.627467i
\(466\) −3.69819 25.7215i −0.171315 1.19152i
\(467\) 12.2089 6.66654i 0.564958 0.308491i −0.171270 0.985224i \(-0.554787\pi\)
0.736228 + 0.676734i \(0.236605\pi\)
\(468\) 0.995307 4.57535i 0.0460081 0.211496i
\(469\) −20.2630 + 9.25381i −0.935659 + 0.427301i
\(470\) −23.8315 + 11.3313i −1.09926 + 0.522674i
\(471\) 30.3364 + 26.2866i 1.39783 + 1.21122i
\(472\) −12.1203 + 0.866862i −0.557882 + 0.0399005i
\(473\) −1.94274 + 3.55787i −0.0893274 + 0.163591i
\(474\) 12.2235 + 26.7658i 0.561445 + 1.22939i
\(475\) 5.31575 6.53169i 0.243903 0.299695i
\(476\) 19.4228 + 5.70304i 0.890240 + 0.261398i
\(477\) −2.35946 1.76627i −0.108032 0.0808719i
\(478\) −4.01010 10.7515i −0.183418 0.491761i
\(479\) −3.33934 + 23.2256i −0.152578 + 1.06120i 0.759299 + 0.650742i \(0.225542\pi\)
−0.911877 + 0.410463i \(0.865367\pi\)
\(480\) −1.86735 + 4.26183i −0.0852324 + 0.194525i
\(481\) 1.46225 1.26704i 0.0666727 0.0577722i
\(482\) −5.43869 + 5.43869i −0.247725 + 0.247725i
\(483\) −12.4409 + 37.2625i −0.566082 + 1.69550i
\(484\) 5.18445i 0.235657i
\(485\) 0.376660 + 4.32662i 0.0171033 + 0.196462i
\(486\) −10.8730 6.98765i −0.493209 0.316966i
\(487\) 10.8699 8.13714i 0.492564 0.368729i −0.323932 0.946081i \(-0.605005\pi\)
0.816496 + 0.577352i \(0.195914\pi\)
\(488\) 1.92117 0.716560i 0.0869674 0.0324372i
\(489\) 16.1304 2.31919i 0.729440 0.104878i
\(490\) −11.6185 15.0311i −0.524869 0.679035i
\(491\) 25.3922 16.3185i 1.14593 0.736446i 0.177107 0.984192i \(-0.443326\pi\)
0.968825 + 0.247746i \(0.0796898\pi\)
\(492\) 5.09641 13.6640i 0.229764 0.616020i
\(493\) −21.2958 11.6284i −0.959116 0.523717i
\(494\) 3.88299 4.48120i 0.174704 0.201619i
\(495\) 10.1639 + 6.31238i 0.456833 + 0.283720i
\(496\) −5.66252 + 1.66267i −0.254255 + 0.0746559i
\(497\) −45.1952 16.8569i −2.02728 0.756136i
\(498\) 24.0337 + 5.22822i 1.07698 + 0.234282i
\(499\) 0.908955 3.09562i 0.0406904 0.138579i −0.936643 0.350286i \(-0.886084\pi\)
0.977333 + 0.211708i \(0.0679024\pi\)
\(500\) −6.47351 9.11557i −0.289504 0.407661i
\(501\) −18.7919 + 41.1485i −0.839560 + 1.83838i
\(502\) −1.11072 1.48375i −0.0495738 0.0662228i
\(503\) 6.06289 + 27.8706i 0.270331 + 1.24269i 0.889318 + 0.457290i \(0.151180\pi\)
−0.618987 + 0.785401i \(0.712457\pi\)
\(504\) −3.42865 3.95688i −0.152724 0.176253i
\(505\) −4.63379 29.0390i −0.206201 1.29222i
\(506\) −4.78894 + 18.6898i −0.212894 + 0.830863i
\(507\) −0.891978 0.891978i −0.0396141 0.0396141i
\(508\) −10.5953 0.757790i −0.470090 0.0336215i
\(509\) −15.1441 + 23.5647i −0.671250 + 1.04448i 0.323898 + 0.946092i \(0.395007\pi\)
−0.995148 + 0.0983929i \(0.968630\pi\)
\(510\) −16.6557 + 17.1781i −0.737528 + 0.760659i
\(511\) −16.3269 7.45625i −0.722260 0.329845i
\(512\) 0.599278 0.800541i 0.0264846 0.0353793i
\(513\) −2.80498 5.13693i −0.123843 0.226801i
\(514\) 4.59945 + 7.15689i 0.202873 + 0.315677i
\(515\) 40.5472 + 8.16707i 1.78672 + 0.359884i
\(516\) 0.590729 + 2.01184i 0.0260054 + 0.0885662i
\(517\) −3.38690 47.3550i −0.148956 2.08267i
\(518\) −0.154341 2.15796i −0.00678134 0.0948155i
\(519\) −11.8366 40.3119i −0.519571 1.76950i
\(520\) −4.35767 6.55589i −0.191096 0.287495i
\(521\) −8.44469 13.1402i −0.369969 0.575683i 0.605493 0.795850i \(-0.292976\pi\)
−0.975462 + 0.220168i \(0.929340\pi\)
\(522\) 3.00764 + 5.50808i 0.131641 + 0.241082i
\(523\) 4.59043 6.13209i 0.200725 0.268138i −0.688872 0.724883i \(-0.741894\pi\)
0.889598 + 0.456745i \(0.150985\pi\)
\(524\) 12.5173 + 5.71644i 0.546819 + 0.249724i
\(525\) 40.3408 7.07750i 1.76062 0.308887i
\(526\) −11.1567 + 17.3601i −0.486454 + 0.756937i
\(527\) −30.2704 2.16498i −1.31860 0.0943079i
\(528\) −5.91943 5.91943i −0.257610 0.257610i
\(529\) 11.0605 20.1659i 0.480892 0.876780i
\(530\) −4.89317 + 0.780811i −0.212546 + 0.0339163i
\(531\) 10.5836 + 12.2141i 0.459289 + 0.530048i
\(532\) −1.40935 6.47868i −0.0611031 0.280886i
\(533\) 14.7858 + 19.7516i 0.640445 + 0.855535i
\(534\) −6.15539 + 13.4784i −0.266370 + 0.583269i
\(535\) −7.38108 + 14.0280i −0.319112 + 0.606484i
\(536\) −1.59428 + 5.42960i −0.0688622 + 0.234523i
\(537\) −7.83231 1.70381i −0.337989 0.0735250i
\(538\) −13.7040 5.11133i −0.590821 0.220365i
\(539\) 32.7954 9.62959i 1.41260 0.414776i
\(540\) −7.56633 + 1.76871i −0.325603 + 0.0761132i
\(541\) 14.3767 16.5916i 0.618102 0.713328i −0.357243 0.934011i \(-0.616283\pi\)
0.975345 + 0.220684i \(0.0708288\pi\)
\(542\) −9.74378 5.32050i −0.418531 0.228535i
\(543\) −3.25617 + 8.73012i −0.139735 + 0.374645i
\(544\) 4.32598 2.78014i 0.185475 0.119197i
\(545\) −0.894253 + 6.98335i −0.0383056 + 0.299134i
\(546\) 28.5441 4.10402i 1.22157 0.175636i
\(547\) −19.7781 + 7.37685i −0.845651 + 0.315411i −0.734681 0.678412i \(-0.762668\pi\)
−0.110969 + 0.993824i \(0.535396\pi\)
\(548\) −4.35471 + 3.25990i −0.186024 + 0.139256i
\(549\) −2.29424 1.47442i −0.0979160 0.0629268i
\(550\) 19.5139 4.88047i 0.832075 0.208104i
\(551\) 7.94724i 0.338564i
\(552\) 5.08421 + 8.58729i 0.216398 + 0.365499i
\(553\) −39.3609 + 39.3609i −1.67380 + 1.67380i
\(554\) 21.7442 18.8415i 0.923822 0.800497i
\(555\) 2.34227 + 1.02628i 0.0994237 + 0.0435631i
\(556\) 0.241041 1.67648i 0.0102224 0.0710985i
\(557\) −10.4016 27.8877i −0.440729 1.18164i −0.947556 0.319591i \(-0.896454\pi\)
0.506827 0.862048i \(-0.330818\pi\)
\(558\) 6.28369 + 4.70391i 0.266010 + 0.199132i
\(559\) −3.40368 0.999412i −0.143960 0.0422706i
\(560\) −8.78853 0.492338i −0.371383 0.0208051i
\(561\) −17.8827 39.1577i −0.755010 1.65324i
\(562\) −2.58762 + 4.73887i −0.109152 + 0.199897i
\(563\) −41.0438 + 2.93551i −1.72979 + 0.123717i −0.900432 0.434997i \(-0.856749\pi\)
−0.829360 + 0.558714i \(0.811295\pi\)
\(564\) −18.5588 16.0812i −0.781464 0.677143i
\(565\) −1.74254 + 4.90172i −0.0733091 + 0.206217i
\(566\) −7.93178 + 3.62232i −0.333397 + 0.152257i
\(567\) 9.38945 43.1626i 0.394320 1.81266i
\(568\) −10.7547 + 5.87253i −0.451258 + 0.246406i
\(569\) −1.69512 11.7898i −0.0710633 0.494256i −0.994007 0.109320i \(-0.965133\pi\)
0.922943 0.384936i \(-0.125776\pi\)
\(570\) 7.55266 + 2.09157i 0.316346 + 0.0876064i
\(571\) −6.50808 0.935720i −0.272354 0.0391587i 0.00478432 0.999989i \(-0.498477\pi\)
−0.277139 + 0.960830i \(0.589386\pi\)
\(572\) 13.8392 3.01053i 0.578646 0.125877i
\(573\) 2.65322 37.0969i 0.110840 1.54975i
\(574\) 27.5885 1.15152
\(575\) −23.9788 0.138142i −0.999983 0.00576093i
\(576\) −1.33003 −0.0554181
\(577\) −2.04383 + 28.5765i −0.0850860 + 1.18966i 0.758138 + 0.652094i \(0.226109\pi\)
−0.843224 + 0.537563i \(0.819345\pi\)
\(578\) 9.22741 2.00730i 0.383810 0.0834927i
\(579\) −19.8671 2.85646i −0.825649 0.118710i
\(580\) 10.1681 + 2.81588i 0.422209 + 0.116923i
\(581\) 6.62183 + 46.0558i 0.274720 + 1.91072i
\(582\) −3.54719 + 1.93691i −0.147036 + 0.0802876i
\(583\) 1.89499 8.71113i 0.0784825 0.360778i
\(584\) −4.14756 + 1.89413i −0.171627 + 0.0783795i
\(585\) −3.50704 + 9.86525i −0.144998 + 0.407878i
\(586\) −17.0433 14.7681i −0.704051 0.610064i
\(587\) −13.9782 + 0.999739i −0.576941 + 0.0412636i −0.356761 0.934196i \(-0.616119\pi\)
−0.220180 + 0.975459i \(0.570664\pi\)
\(588\) 8.47284 15.5168i 0.349414 0.639904i
\(589\) 4.12919 + 9.04167i 0.170140 + 0.372556i
\(590\) 27.1285 + 1.51975i 1.11686 + 0.0625673i
\(591\) −13.4252 3.94199i −0.552238 0.162152i
\(592\) −0.439971 0.329358i −0.0180827 0.0135365i
\(593\) −15.1336 40.5748i −0.621463 1.66621i −0.739467 0.673193i \(-0.764922\pi\)
0.118004 0.993013i \(-0.462350\pi\)
\(594\) 1.98954 13.8375i 0.0816318 0.567761i
\(595\) −41.4591 18.1655i −1.69966 0.744715i
\(596\) 13.2648 11.4940i 0.543347 0.470812i
\(597\) −0.0764613 + 0.0764613i −0.00312935 + 0.00312935i
\(598\) −16.8723 0.618420i −0.689960 0.0252891i
\(599\) 5.43966i 0.222258i −0.993806 0.111129i \(-0.964553\pi\)
0.993806 0.111129i \(-0.0354467\pi\)
\(600\) 5.35214 8.92219i 0.218500 0.364247i
\(601\) 3.68318 + 2.36703i 0.150240 + 0.0965533i 0.613601 0.789616i \(-0.289720\pi\)
−0.463361 + 0.886170i \(0.653357\pi\)
\(602\) −3.17542 + 2.37709i −0.129420 + 0.0968829i
\(603\) 7.05189 2.63022i 0.287175 0.107111i
\(604\) −3.03721 + 0.436685i −0.123582 + 0.0177685i
\(605\) −1.47249 + 11.4989i −0.0598652 + 0.467496i
\(606\) 23.0213 14.7949i 0.935175 0.601000i
\(607\) 2.05073 5.49822i 0.0832366 0.223166i −0.888663 0.458560i \(-0.848365\pi\)
0.971900 + 0.235394i \(0.0756381\pi\)
\(608\) −1.47826 0.807190i −0.0599513 0.0327359i
\(609\) −25.3109 + 29.2104i −1.02565 + 1.18366i
\(610\) −4.46459 + 1.04365i −0.180766 + 0.0422560i
\(611\) 39.8629 11.7048i 1.61268 0.473526i
\(612\) −6.40820 2.39014i −0.259036 0.0966155i
\(613\) −22.7901 4.95769i −0.920485 0.200239i −0.272732 0.962090i \(-0.587927\pi\)
−0.647753 + 0.761851i \(0.724291\pi\)
\(614\) 7.94357 27.0533i 0.320577 1.09178i
\(615\) −15.1845 + 28.8587i −0.612297 + 1.16369i
\(616\) 6.57874 14.4054i 0.265065 0.580412i
\(617\) −6.22678 8.31801i −0.250681 0.334870i 0.657495 0.753459i \(-0.271616\pi\)
−0.908176 + 0.418588i \(0.862525\pi\)
\(618\) 8.18182 + 37.6112i 0.329121 + 1.51294i
\(619\) 16.5092 + 19.0527i 0.663563 + 0.765792i 0.983355 0.181696i \(-0.0581585\pi\)
−0.319792 + 0.947488i \(0.603613\pi\)
\(620\) 13.0315 2.07945i 0.523356 0.0835127i
\(621\) −6.39201 + 15.3909i −0.256503 + 0.617615i
\(622\) −8.64601 8.64601i −0.346674 0.346674i
\(623\) −27.9597 1.99971i −1.12018 0.0801169i
\(624\) 3.96056 6.16275i 0.158549 0.246707i
\(625\) 11.7690 + 22.0566i 0.470758 + 0.882262i
\(626\) 22.0928 + 10.0895i 0.883008 + 0.403256i
\(627\) −8.44963 + 11.2874i −0.337446 + 0.450775i
\(628\) 9.24489 + 16.9307i 0.368911 + 0.675610i
\(629\) −1.52794 2.37752i −0.0609230 0.0947980i
\(630\) 6.48077 + 9.74999i 0.258200 + 0.388449i
\(631\) 11.0746 + 37.7166i 0.440873 + 1.50147i 0.817948 + 0.575292i \(0.195112\pi\)
−0.377075 + 0.926183i \(0.623070\pi\)
\(632\) 1.00878 + 14.1046i 0.0401271 + 0.561051i
\(633\) −0.0336673 0.470731i −0.00133816 0.0187099i
\(634\) 7.13748 + 24.3080i 0.283466 + 0.965395i
\(635\) 23.2847 + 4.69002i 0.924024 + 0.186118i
\(636\) −2.49299 3.87917i −0.0988534 0.153819i
\(637\) 14.3346 + 26.2518i 0.567957 + 1.04014i
\(638\) −11.3757 + 15.1962i −0.450369 + 0.601622i
\(639\) 14.8249 + 6.77031i 0.586465 + 0.267829i
\(640\) −1.55654 + 1.60536i −0.0615277 + 0.0634574i
\(641\) 17.3946 27.0665i 0.687044 1.06906i −0.306081 0.952006i \(-0.599018\pi\)
0.993125 0.117057i \(-0.0373459\pi\)
\(642\) −14.7136 1.05234i −0.580700 0.0415325i
\(643\) 22.3539 + 22.3539i 0.881551 + 0.881551i 0.993692 0.112141i \(-0.0357708\pi\)
−0.112141 + 0.993692i \(0.535771\pi\)
\(644\) −11.8597 + 14.6888i −0.467336 + 0.578818i
\(645\) −0.738808 4.62995i −0.0290905 0.182304i
\(646\) −5.67180 6.54561i −0.223154 0.257533i
\(647\) 6.97783 + 32.0766i 0.274327 + 1.26106i 0.883654 + 0.468141i \(0.155076\pi\)
−0.609327 + 0.792919i \(0.708560\pi\)
\(648\) −6.72456 8.98296i −0.264166 0.352884i
\(649\) −20.3073 + 44.4668i −0.797132 + 1.74548i
\(650\) 7.80311 + 15.7783i 0.306063 + 0.618878i
\(651\) −13.6195 + 46.3839i −0.533792 + 1.81793i
\(652\) 7.65246 + 1.66469i 0.299694 + 0.0651943i
\(653\) 28.9551 + 10.7997i 1.13310 + 0.422624i 0.844888 0.534943i \(-0.179667\pi\)
0.288211 + 0.957567i \(0.406940\pi\)
\(654\) −6.28634 + 1.84584i −0.245816 + 0.0721779i
\(655\) −26.1391 16.2340i −1.02134 0.634314i
\(656\) 4.58949 5.29656i 0.179190 0.206796i
\(657\) 5.32262 + 2.90637i 0.207655 + 0.113388i
\(658\) 16.2345 43.5265i 0.632888 1.69684i
\(659\) −9.29389 + 5.97282i −0.362038 + 0.232668i −0.708995 0.705213i \(-0.750851\pi\)
0.346957 + 0.937881i \(0.387215\pi\)
\(660\) 11.4478 + 14.8103i 0.445605 + 0.576489i
\(661\) 43.4654 6.24939i 1.69061 0.243073i 0.771262 0.636518i \(-0.219626\pi\)
0.919348 + 0.393445i \(0.128717\pi\)
\(662\) −7.75090 + 2.89094i −0.301247 + 0.112359i
\(663\) 30.1570 22.5753i 1.17120 0.876751i
\(664\) 9.94358 + 6.39035i 0.385886 + 0.247994i
\(665\) 1.28580 + 14.7697i 0.0498612 + 0.572745i
\(666\) 0.730976i 0.0283248i
\(667\) 17.6332 14.1825i 0.682759 0.549148i
\(668\) −15.3719 + 15.3719i −0.594757 + 0.594757i
\(669\) −16.9129 + 14.6551i −0.653891 + 0.566600i
\(670\) 5.07815 11.5898i 0.196186 0.447754i
\(671\) 1.17395 8.16499i 0.0453198 0.315206i
\(672\) −2.86260 7.67492i −0.110427 0.296066i
\(673\) −9.45319 7.07657i −0.364394 0.272782i 0.401354 0.915923i \(-0.368540\pi\)
−0.765747 + 0.643141i \(0.777631\pi\)
\(674\) 3.97697 + 1.16774i 0.153187 + 0.0449798i
\(675\) 17.2841 1.77393i 0.665267 0.0682787i
\(676\) −0.251829 0.551429i −0.00968573 0.0212088i
\(677\) 9.52784 17.4489i 0.366184 0.670617i −0.628011 0.778204i \(-0.716131\pi\)
0.994196 + 0.107588i \(0.0343126\pi\)
\(678\) −4.82885 + 0.345366i −0.185451 + 0.0132637i
\(679\) −5.77820 5.00684i −0.221747 0.192145i
\(680\) −10.3844 + 4.93756i −0.398225 + 0.189347i
\(681\) 28.7532 13.1312i 1.10183 0.503187i
\(682\) −5.04672 + 23.1994i −0.193249 + 0.888351i
\(683\) −21.2753 + 11.6172i −0.814076 + 0.444519i −0.831632 0.555327i \(-0.812593\pi\)
0.0175561 + 0.999846i \(0.494411\pi\)
\(684\) 0.318807 + 2.21735i 0.0121899 + 0.0847825i
\(685\) 10.5844 5.99348i 0.404411 0.228999i
\(686\) 5.82965 + 0.838177i 0.222577 + 0.0320017i
\(687\) 48.0743 10.4579i 1.83415 0.398995i
\(688\) −0.0718842 + 1.00507i −0.00274056 + 0.0383180i
\(689\) 7.80131 0.297206
\(690\) −8.83759 20.4903i −0.336441 0.780051i
\(691\) 9.04069 0.343924 0.171962 0.985104i \(-0.444989\pi\)
0.171962 + 0.985104i \(0.444989\pi\)
\(692\) 1.44037 20.1390i 0.0547547 0.765570i
\(693\) −20.5818 + 4.47730i −0.781838 + 0.170078i
\(694\) 24.4740 + 3.51883i 0.929021 + 0.133573i
\(695\) −1.01077 + 3.64990i −0.0383408 + 0.138448i
\(696\) 1.39733 + 9.71861i 0.0529655 + 0.368383i
\(697\) 31.6307 17.2717i 1.19810 0.654211i
\(698\) −3.74402 + 17.2110i −0.141713 + 0.651445i
\(699\) −49.1870 + 22.4629i −1.86042 + 0.849626i
\(700\) 19.3528 + 3.58811i 0.731465 + 0.135618i
\(701\) −11.7573 10.1878i −0.444068 0.384787i 0.403927 0.914791i \(-0.367645\pi\)
−0.847995 + 0.530004i \(0.822190\pi\)
\(702\) 12.2025 0.872737i 0.460552 0.0329393i
\(703\) −0.443626 + 0.812440i −0.0167317 + 0.0306417i
\(704\) −1.67121 3.65944i −0.0629861 0.137920i
\(705\) 36.5951 + 40.9386i 1.37825 + 1.54184i
\(706\) 2.95635 + 0.868063i 0.111264 + 0.0326700i
\(707\) 41.4431 + 31.0239i 1.55863 + 1.16677i
\(708\) 8.83629 + 23.6910i 0.332088 + 0.890363i
\(709\) 1.47941 10.2895i 0.0555605 0.386432i −0.943000 0.332793i \(-0.892009\pi\)
0.998560 0.0536387i \(-0.0170819\pi\)
\(710\) 25.5214 9.97045i 0.957803 0.374184i
\(711\) 14.2138 12.3163i 0.533058 0.461897i
\(712\) −5.03516 + 5.03516i −0.188700 + 0.188700i
\(713\) 12.6926 25.2974i 0.475342 0.947394i
\(714\) 42.1226i 1.57640i
\(715\) −31.5498 + 2.74662i −1.17990 + 0.102718i
\(716\) −3.24049 2.08254i −0.121103 0.0778281i
\(717\) −19.1153 + 14.3095i −0.713874 + 0.534400i
\(718\) −2.08996 + 0.779517i −0.0779968 + 0.0290913i
\(719\) −30.9741 + 4.45341i −1.15514 + 0.166084i −0.693145 0.720799i \(-0.743775\pi\)
−0.461995 + 0.886883i \(0.652866\pi\)
\(720\) 2.94996 + 0.377757i 0.109938 + 0.0140782i
\(721\) −61.2563 + 39.3670i −2.28130 + 1.46610i
\(722\) 5.64846 15.1441i 0.210214 0.563605i
\(723\) 14.0472 + 7.67036i 0.522422 + 0.285264i
\(724\) −2.93229 + 3.38404i −0.108978 + 0.125767i
\(725\) −21.7527 9.13346i −0.807875 0.339208i
\(726\) −10.3512 + 3.03938i −0.384168 + 0.112802i
\(727\) 21.2449 + 7.92393i 0.787929 + 0.293882i 0.711035 0.703157i \(-0.248227\pi\)
0.0768945 + 0.997039i \(0.475500\pi\)
\(728\) 13.5417 + 2.94582i 0.501889 + 0.109179i
\(729\) 1.90693 6.49439i 0.0706269 0.240533i
\(730\) 9.73707 3.02310i 0.360385 0.111890i
\(731\) −2.15251 + 4.71333i −0.0796134 + 0.174329i
\(732\) −2.55696 3.41570i −0.0945079 0.126248i
\(733\) −5.40552 24.8488i −0.199658 0.917811i −0.962512 0.271240i \(-0.912566\pi\)
0.762854 0.646571i \(-0.223797\pi\)
\(734\) 10.7353 + 12.3892i 0.396247 + 0.457294i
\(735\) −23.1995 + 32.0092i −0.855726 + 1.18068i
\(736\) 0.847094 + 4.72043i 0.0312243 + 0.173997i
\(737\) 16.0976 + 16.0976i 0.592962 + 0.592962i
\(738\) −9.29759 0.664977i −0.342249 0.0244781i
\(739\) 19.6936 30.6438i 0.724440 1.12725i −0.262307 0.964984i \(-0.584483\pi\)
0.986747 0.162266i \(-0.0518802\pi\)
\(740\) 0.882293 + 0.855463i 0.0324337 + 0.0314475i
\(741\) −11.2235 5.12560i −0.412306 0.188294i
\(742\) 5.22764 6.98331i 0.191913 0.256365i
\(743\) −7.13951 13.0750i −0.261923 0.479677i 0.713312 0.700847i \(-0.247194\pi\)
−0.975235 + 0.221170i \(0.929012\pi\)
\(744\) 6.63931 + 10.3310i 0.243409 + 0.378751i
\(745\) −32.6852 + 21.7257i −1.19749 + 0.795969i
\(746\) −8.75779 29.8263i −0.320646 1.09202i
\(747\) −1.12152 15.6809i −0.0410343 0.573734i
\(748\) −1.47582 20.6347i −0.0539614 0.754479i
\(749\) −7.86195 26.7754i −0.287270 0.978350i
\(750\) −14.4049 + 18.2689i −0.525993 + 0.667086i
\(751\) 3.07898 + 4.79099i 0.112354 + 0.174826i 0.892877 0.450301i \(-0.148683\pi\)
−0.780523 + 0.625127i \(0.785047\pi\)
\(752\) −5.65570 10.3576i −0.206242 0.377704i
\(753\) −2.31127 + 3.08749i −0.0842272 + 0.112514i
\(754\) −15.1102 6.90059i −0.550280 0.251304i
\(755\) 6.86043 0.105918i 0.249677 0.00385476i
\(756\) 7.39561 11.5078i 0.268976 0.418534i
\(757\) −19.6819 1.40768i −0.715350 0.0511629i −0.291080 0.956699i \(-0.594015\pi\)
−0.424270 + 0.905536i \(0.639469\pi\)
\(758\) −17.5672 17.5672i −0.638069 0.638069i
\(759\) 40.1232 1.39538i 1.45638 0.0506490i
\(760\) 3.04946 + 2.21017i 0.110615 + 0.0801713i
\(761\) 7.86088 + 9.07194i 0.284957 + 0.328857i 0.880124 0.474745i \(-0.157460\pi\)
−0.595167 + 0.803602i \(0.702914\pi\)
\(762\) 4.69849 + 21.5986i 0.170208 + 0.782436i
\(763\) −7.42764 9.92216i −0.268898 0.359206i
\(764\) 7.42475 16.2579i 0.268618 0.588192i
\(765\) 13.5343 + 7.12128i 0.489333 + 0.257470i
\(766\) −4.44684 + 15.1446i −0.160671 + 0.547195i
\(767\) −41.8007 9.09319i −1.50934 0.328336i
\(768\) −1.94967 0.727191i −0.0703528 0.0262402i
\(769\) 23.4533 6.88650i 0.845746 0.248333i 0.169978 0.985448i \(-0.445630\pi\)
0.675768 + 0.737114i \(0.263812\pi\)
\(770\) −18.6828 + 30.0821i −0.673282 + 1.08409i
\(771\) 11.5929 13.3789i 0.417508 0.481830i
\(772\) −8.46580 4.62268i −0.304691 0.166374i
\(773\) 13.3097 35.6847i 0.478717 1.28349i −0.443311 0.896368i \(-0.646196\pi\)
0.922028 0.387123i \(-0.126531\pi\)
\(774\) 1.12744 0.724564i 0.0405251 0.0260439i
\(775\) −29.4938 + 0.910929i −1.05945 + 0.0327215i
\(776\) −1.92247 + 0.276410i −0.0690127 + 0.00992253i
\(777\) −4.21807 + 1.57326i −0.151323 + 0.0564404i
\(778\) 5.60732 4.19759i 0.201032 0.150491i
\(779\) −9.93019 6.38174i −0.355786 0.228650i
\(780\) −10.5347 + 12.5438i −0.377203 + 0.449141i
\(781\) 49.2961i 1.76395i
\(782\) −4.40147 + 24.2656i −0.157396 + 0.867737i
\(783\) −11.5942 + 11.5942i −0.414342 + 0.414342i
\(784\) 6.42096 5.56379i 0.229320 0.198707i
\(785\) −15.6961 40.1774i −0.560217 1.43399i
\(786\) 4.07511 28.3430i 0.145354 1.01096i
\(787\) −15.9462 42.7534i −0.568421 1.52399i −0.829403 0.558651i \(-0.811319\pi\)
0.260982 0.965344i \(-0.415954\pi\)
\(788\) −5.38290 4.02959i −0.191758 0.143548i
\(789\) 41.2015 + 12.0979i 1.46681 + 0.430695i
\(790\) 1.76856 31.5699i 0.0629226 1.12321i
\(791\) −3.80452 8.33073i −0.135273 0.296207i
\(792\) −2.56432 + 4.69621i −0.0911193 + 0.166873i
\(793\) 7.20019 0.514968i 0.255686 0.0182870i
\(794\) −15.0707 13.0589i −0.534841 0.463442i
\(795\) 4.42758 + 9.31188i 0.157030 + 0.330258i
\(796\) −0.0472690 + 0.0215870i −0.00167541 + 0.000765132i
\(797\) −0.753629 + 3.46437i −0.0266949 + 0.122714i −0.988566 0.150789i \(-0.951819\pi\)
0.961871 + 0.273503i \(0.0881824\pi\)
\(798\) −12.1090 + 6.61201i −0.428654 + 0.234063i
\(799\) −8.63640 60.0675i −0.305534 2.12503i
\(800\) 3.90830 3.11853i 0.138179 0.110257i
\(801\) 9.37449 + 1.34785i 0.331231 + 0.0476239i
\(802\) 24.3098 5.28827i 0.858409 0.186735i
\(803\) −1.30859 + 18.2965i −0.0461792 + 0.645669i
\(804\) 11.7753 0.415283
\(805\) 30.4761 29.2107i 1.07414 1.02954i
\(806\) −20.7764 −0.731817
\(807\) −2.17122 + 30.3577i −0.0764307 + 1.06864i
\(808\) 12.8504 2.79543i 0.452075 0.0983429i
\(809\) 23.9519 + 3.44376i 0.842103 + 0.121076i 0.549849 0.835264i \(-0.314685\pi\)
0.292255 + 0.956341i \(0.405594\pi\)
\(810\) 12.3634 + 21.8337i 0.434407 + 0.767159i
\(811\) 4.17912 + 29.0664i 0.146749 + 1.02066i 0.921496 + 0.388389i \(0.126968\pi\)
−0.774747 + 0.632272i \(0.782123\pi\)
\(812\) −16.3023 + 8.90174i −0.572099 + 0.312390i
\(813\) −4.91054 + 22.5734i −0.172220 + 0.791684i
\(814\) −2.01120 + 0.918484i −0.0704925 + 0.0321928i
\(815\) −16.5000 5.86567i −0.577971 0.205465i
\(816\) −8.08688 7.00732i −0.283097 0.245305i
\(817\) 1.69283 0.121073i 0.0592245 0.00423582i
\(818\) −7.55122 + 13.8290i −0.264022 + 0.483520i
\(819\) −7.65700 16.7665i −0.267557 0.585869i
\(820\) −11.6836 + 10.4440i −0.408010 + 0.364721i
\(821\) 14.4503 + 4.24299i 0.504318 + 0.148081i 0.523989 0.851725i \(-0.324443\pi\)
−0.0196702 + 0.999807i \(0.506262\pi\)
\(822\) 9.06160 + 6.78343i 0.316060 + 0.236599i
\(823\) 7.66379 + 20.5474i 0.267143 + 0.716238i 0.999381 + 0.0351890i \(0.0112033\pi\)
−0.732238 + 0.681049i \(0.761524\pi\)
\(824\) −2.63246 + 18.3092i −0.0917061 + 0.637830i
\(825\) −21.1843 36.0999i −0.737542 1.25684i
\(826\) −36.1503 + 31.3244i −1.25783 + 1.08991i
\(827\) −15.1528 + 15.1528i −0.526913 + 0.526913i −0.919651 0.392737i \(-0.871528\pi\)
0.392737 + 0.919651i \(0.371528\pi\)
\(828\) 4.35088 4.66440i 0.151203 0.162099i
\(829\) 11.4324i 0.397065i −0.980094 0.198532i \(-0.936382\pi\)
0.980094 0.198532i \(-0.0636175\pi\)
\(830\) −20.2394 16.9977i −0.702521 0.589999i
\(831\) −50.3661 32.3683i −1.74718 1.12284i
\(832\) 2.81829 2.10975i 0.0977066 0.0731423i
\(833\) 40.9351 15.2680i 1.41832 0.529004i
\(834\) −3.48854 + 0.501576i −0.120798 + 0.0173682i
\(835\) 38.4602 29.7283i 1.33097 1.02879i
\(836\) −5.70021 + 3.66330i −0.197146 + 0.126698i
\(837\) −7.16678 + 19.2149i −0.247720 + 0.664164i
\(838\) 7.87133 + 4.29807i 0.271910 + 0.148474i
\(839\) −4.52450 + 5.22155i −0.156203 + 0.180268i −0.828457 0.560053i \(-0.810781\pi\)
0.672254 + 0.740321i \(0.265326\pi\)
\(840\) 4.16928 + 17.8357i 0.143854 + 0.615389i
\(841\) −6.46313 + 1.89775i −0.222867 + 0.0654396i
\(842\) 23.6035 + 8.80364i 0.813430 + 0.303394i
\(843\) 10.9785 + 2.38823i 0.378121 + 0.0822551i
\(844\) 0.0638957 0.217609i 0.00219938 0.00749041i
\(845\) 0.401929 + 1.29457i 0.0138268 + 0.0445346i
\(846\) −6.52034 + 14.2775i −0.224174 + 0.490872i
\(847\) −12.2304 16.3380i −0.420243 0.561379i
\(848\) −0.471040 2.16534i −0.0161756 0.0743580i
\(849\) 11.8823 + 13.7129i 0.407798 + 0.470624i
\(850\) 24.4346 8.00189i 0.838100 0.274463i
\(851\) 2.59431 0.465556i 0.0889318 0.0159591i
\(852\) 18.0299 + 18.0299i 0.617696 + 0.617696i
\(853\) 33.0541 + 2.36408i 1.13175 + 0.0809444i 0.624623 0.780926i \(-0.285253\pi\)
0.507128 + 0.861871i \(0.330707\pi\)
\(854\) 4.36386 6.79030i 0.149328 0.232359i
\(855\) −0.0773269 5.00854i −0.00264452 0.171288i
\(856\) −6.44833 2.94485i −0.220399 0.100653i
\(857\) −12.3655 + 16.5184i −0.422398 + 0.564258i −0.960378 0.278700i \(-0.910097\pi\)
0.537980 + 0.842957i \(0.319187\pi\)
\(858\) −14.1240 25.8662i −0.482186 0.883057i
\(859\) −26.0451 40.5269i −0.888646 1.38276i −0.923595 0.383371i \(-0.874763\pi\)
0.0349488 0.999389i \(-0.488873\pi\)
\(860\) 0.444897 2.20879i 0.0151709 0.0753191i
\(861\) −16.1737 55.0827i −0.551199 1.87721i
\(862\) −0.0786936 1.10028i −0.00268032 0.0374757i
\(863\) 1.77149 + 24.7687i 0.0603023 + 0.843136i 0.934137 + 0.356914i \(0.116171\pi\)
−0.873835 + 0.486223i \(0.838374\pi\)
\(864\) −0.979017 3.33423i −0.0333068 0.113433i
\(865\) −8.91457 + 44.2584i −0.303105 + 1.50483i
\(866\) −2.86017 4.45051i −0.0971924 0.151234i
\(867\) −9.41731 17.2465i −0.319829 0.585723i
\(868\) −13.9222 + 18.5979i −0.472551 + 0.631254i
\(869\) 51.7468 + 23.6320i 1.75539 + 0.801659i
\(870\) −0.338922 21.9523i −0.0114905 0.744254i
\(871\) −10.7705 + 16.7593i −0.364946 + 0.567866i
\(872\) −3.14053 0.224615i −0.106352 0.00760643i
\(873\) 1.82663 + 1.82663i 0.0618221 + 0.0618221i
\(874\) 7.66656 2.54370i 0.259325 0.0860420i
\(875\) −41.9045 13.4548i −1.41663 0.454857i
\(876\) 6.21328 + 7.17051i 0.209927 + 0.242269i
\(877\) 1.81863 + 8.36009i 0.0614106 + 0.282300i 0.997604 0.0691859i \(-0.0220402\pi\)
−0.936193 + 0.351486i \(0.885677\pi\)
\(878\) −5.35856 7.15820i −0.180843 0.241578i
\(879\) −19.4941 + 42.6861i −0.657519 + 1.43977i
\(880\) 2.66732 + 8.59114i 0.0899152 + 0.289607i
\(881\) 7.52581 25.6305i 0.253551 0.863515i −0.730086 0.683355i \(-0.760520\pi\)
0.983637 0.180160i \(-0.0576616\pi\)
\(882\) −11.0419 2.40202i −0.371801 0.0808803i
\(883\) 1.04948 + 0.391435i 0.0353177 + 0.0131728i 0.367061 0.930197i \(-0.380364\pi\)
−0.331743 + 0.943370i \(0.607637\pi\)
\(884\) 17.3700 5.10031i 0.584218 0.171542i
\(885\) −12.8698 55.0553i −0.432613 1.85066i
\(886\) −5.70002 + 6.57818i −0.191496 + 0.220998i
\(887\) −18.9968 10.3731i −0.637851 0.348293i 0.127564 0.991830i \(-0.459284\pi\)
−0.765415 + 0.643537i \(0.777466\pi\)
\(888\) −0.399658 + 1.07153i −0.0134117 + 0.0359580i
\(889\) −35.1771 + 22.6069i −1.17980 + 0.758212i
\(890\) 12.5978 9.73767i 0.422281 0.326408i
\(891\) −44.6829 + 6.42444i −1.49693 + 0.215227i
\(892\) −10.0765 + 3.75835i −0.337387 + 0.125839i
\(893\) −15.9120 + 11.9115i −0.532473 + 0.398605i
\(894\) −30.7252 19.7459i −1.02760 0.660401i
\(895\) 6.59579 + 5.53935i 0.220473 + 0.185160i
\(896\) 3.93651i 0.131510i
\(897\) 8.65666 + 34.0495i 0.289037 + 1.13688i
\(898\) 14.8171 14.8171i 0.494453 0.494453i
\(899\) 21.0449 18.2355i 0.701888 0.608190i
\(900\) −6.43559 1.67570i −0.214520 0.0558566i
\(901\) 1.62171 11.2792i 0.0540270 0.375766i
\(902\) −9.85297 26.4168i −0.328068 0.879584i
\(903\) 6.60764 + 4.94642i 0.219889 + 0.164607i
\(904\) −2.23227 0.655455i −0.0742443 0.0218001i
\(905\) 7.46483 6.67283i 0.248139 0.221812i
\(906\) 2.65244 + 5.80804i 0.0881215 + 0.192959i
\(907\) 15.3084 28.0353i 0.508308 0.930897i −0.489941 0.871755i \(-0.662982\pi\)
0.998250 0.0591416i \(-0.0188363\pi\)
\(908\) 15.1519 1.08369i 0.502833 0.0359634i
\(909\) −13.2190 11.4543i −0.438445 0.379915i
\(910\) −29.1983 10.3798i −0.967913 0.344088i
\(911\) 4.58077 2.09197i 0.151768 0.0693099i −0.338083 0.941116i \(-0.609779\pi\)
0.489851 + 0.871806i \(0.337051\pi\)
\(912\) −0.744994 + 3.42468i −0.0246692 + 0.113403i
\(913\) 41.7350 22.7890i 1.38123 0.754207i
\(914\) 3.03097 + 21.0809i 0.100256 + 0.697294i
\(915\) 4.70110 + 8.30210i 0.155413 + 0.274459i
\(916\) 23.4026 + 3.36479i 0.773244 + 0.111176i
\(917\) 52.9316 11.5146i 1.74796 0.380244i
\(918\) 1.27479 17.8239i 0.0420743 0.588276i
\(919\) −22.4511 −0.740594 −0.370297 0.928913i \(-0.620744\pi\)
−0.370297 + 0.928913i \(0.620744\pi\)
\(920\) −0.538121 10.7103i −0.0177413 0.353108i
\(921\) −58.6711 −1.93328
\(922\) −1.95515 + 27.3366i −0.0643894 + 0.900281i
\(923\) −42.1527 + 9.16977i −1.38747 + 0.301827i
\(924\) −32.6184 4.68982i −1.07307 0.154284i
\(925\) −1.71392 2.14797i −0.0563533 0.0706248i
\(926\) 1.00869 + 7.01557i 0.0331475 + 0.230546i
\(927\) 21.5929 11.7906i 0.709203 0.387254i
\(928\) −1.00298 + 4.61064i −0.0329246 + 0.151352i
\(929\) 30.5308 13.9430i 1.00168 0.457454i 0.154066 0.988061i \(-0.450763\pi\)
0.847618 + 0.530607i \(0.178036\pi\)
\(930\) −11.7915 24.7993i −0.386658 0.813202i
\(931\) −10.8147 9.37099i −0.354438 0.307122i
\(932\) −25.9197 + 1.85382i −0.849029 + 0.0607238i
\(933\) −12.1938 + 22.3312i −0.399206 + 0.731091i
\(934\) −5.77858 12.6533i −0.189081 0.414030i
\(935\) −2.58737 + 46.1860i −0.0846159 + 1.51044i
\(936\) −4.49269 1.31917i −0.146848 0.0431185i
\(937\) −3.09902 2.31990i −0.101241 0.0757879i 0.547458 0.836833i \(-0.315596\pi\)
−0.648699 + 0.761045i \(0.724686\pi\)
\(938\) 7.78468 + 20.8715i 0.254179 + 0.681480i
\(939\) 7.19253 50.0252i 0.234719 1.63251i
\(940\) 9.60232 + 24.5791i 0.313193 + 0.801683i
\(941\) 27.4073 23.7486i 0.893452 0.774181i −0.0814819 0.996675i \(-0.525965\pi\)
0.974934 + 0.222494i \(0.0714198\pi\)
\(942\) 28.3838 28.3838i 0.924795 0.924795i
\(943\) 3.56153 + 33.4216i 0.115980 + 1.08836i
\(944\) 12.1513i 0.395490i
\(945\) −19.6716 + 23.4233i −0.639917 + 0.761959i
\(946\) 3.41021 + 2.19161i 0.110875 + 0.0712554i
\(947\) −7.39105 + 5.53287i −0.240177 + 0.179794i −0.712585 0.701586i \(-0.752476\pi\)
0.472408 + 0.881380i \(0.343385\pi\)
\(948\) 27.5696 10.2829i 0.895419 0.333974i
\(949\) −15.8886 + 2.28444i −0.515766 + 0.0741559i
\(950\) −6.13583 5.76817i −0.199073 0.187144i
\(951\) 44.3487 28.5012i 1.43810 0.924213i
\(952\) 7.07411 18.9664i 0.229273 0.614705i
\(953\) −9.17197 5.00827i −0.297109 0.162234i 0.323780 0.946133i \(-0.395046\pi\)
−0.620889 + 0.783899i \(0.713228\pi\)
\(954\) −1.93009 + 2.22744i −0.0624890 + 0.0721161i
\(955\) −21.0854 + 33.9506i −0.682307 + 1.09862i
\(956\) −11.0102 + 3.23288i −0.356094 + 0.104559i
\(957\) 37.0094 + 13.8038i 1.19635 + 0.446214i
\(958\) 22.9282 + 4.98772i 0.740776 + 0.161146i
\(959\) −6.03288 + 20.5461i −0.194812 + 0.663468i
\(960\) 4.11776 + 2.16662i 0.132900 + 0.0699275i
\(961\) 1.59047 3.48265i 0.0513055 0.112343i
\(962\) −1.15950 1.54891i −0.0373838 0.0499389i
\(963\) 2.00418 + 9.21307i 0.0645838 + 0.296887i
\(964\) 5.03684 + 5.81282i 0.162226 + 0.187218i
\(965\) 17.4638 + 12.6574i 0.562181 + 0.407455i
\(966\) 36.2801 + 15.0675i 1.16729 + 0.484790i
\(967\) −0.509421 0.509421i −0.0163819 0.0163819i 0.698868 0.715250i \(-0.253687\pi\)
−0.715250 + 0.698868i \(0.753687\pi\)
\(968\) −5.17124 0.369854i −0.166210 0.0118876i
\(969\) −9.74376 + 15.1616i −0.313015 + 0.487060i
\(970\) 4.34247 0.0670434i 0.139428 0.00215263i
\(971\) −15.9441 7.28145i −0.511672 0.233673i 0.142810 0.989750i \(-0.454386\pi\)
−0.654482 + 0.756077i \(0.727113\pi\)
\(972\) −7.74551 + 10.3468i −0.248437 + 0.331874i
\(973\) −3.19532 5.85179i −0.102437 0.187600i
\(974\) −7.34095 11.4227i −0.235219 0.366008i
\(975\) 26.9282 24.8296i 0.862393 0.795184i
\(976\) −0.577680 1.96740i −0.0184911 0.0629748i
\(977\) −1.70034 23.7739i −0.0543989 0.760595i −0.949308 0.314347i \(-0.898214\pi\)
0.894909 0.446248i \(-0.147240\pi\)
\(978\) −1.16256 16.2547i −0.0371745 0.519768i
\(979\) 8.07075 + 27.4865i 0.257942 + 0.878471i
\(980\) −15.8216 + 10.5166i −0.505404 + 0.335939i
\(981\) 2.26403 + 3.52290i 0.0722849 + 0.112478i
\(982\) −14.4655 26.4916i −0.461613 0.845381i
\(983\) 13.7464 18.3630i 0.438441 0.585689i −0.525835 0.850586i \(-0.676247\pi\)
0.964277 + 0.264897i \(0.0853380\pi\)
\(984\) −13.2656 6.05820i −0.422892 0.193128i
\(985\) 10.7946 + 10.4663i 0.343943 + 0.333484i
\(986\) −13.1180 + 20.4120i −0.417762 + 0.650051i
\(987\) −96.4217 6.89621i −3.06914 0.219509i
\(988\) −4.19278 4.19278i −0.133390 0.133390i
\(989\) −3.28962 3.53994i −0.104604 0.112564i
\(990\) 7.02138 9.68767i 0.223154 0.307894i
\(991\) 18.2595 + 21.0726i 0.580032 + 0.669392i 0.967612 0.252444i \(-0.0812343\pi\)
−0.387580 + 0.921836i \(0.626689\pi\)
\(992\) 1.25447 + 5.76671i 0.0398295 + 0.183093i
\(993\) 10.3160 + 13.7805i 0.327367 + 0.437311i
\(994\) −20.0382 + 43.8775i −0.635572 + 1.39171i
\(995\) 0.110972 0.0344537i 0.00351804 0.00109226i
\(996\) 6.92945 23.5995i 0.219568 0.747780i
\(997\) 44.3823 + 9.65479i 1.40560 + 0.305770i 0.850484 0.526001i \(-0.176309\pi\)
0.555119 + 0.831771i \(0.312673\pi\)
\(998\) −3.02289 1.12748i −0.0956878 0.0356897i
\(999\) −1.83246 + 0.538060i −0.0579766 + 0.0170235i
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.l.a.217.8 yes 240
5.3 odd 4 inner 230.2.l.a.33.2 yes 240
23.7 odd 22 inner 230.2.l.a.7.2 240
115.53 even 44 inner 230.2.l.a.53.8 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.7.2 240 23.7 odd 22 inner
230.2.l.a.33.2 yes 240 5.3 odd 4 inner
230.2.l.a.53.8 yes 240 115.53 even 44 inner
230.2.l.a.217.8 yes 240 1.1 even 1 trivial