Properties

Label 289.2.h.a.149.8
Level $289$
Weight $2$
Character 289.149
Analytic conductor $2.308$
Analytic rank $0$
Dimension $768$
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] = [289,2,Mod(4,289)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(289, base_ring=CyclotomicField(68))
 
chi = DirichletCharacter(H, H._module([27]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("289.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 289 = 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 289.h (of order \(68\), degree \(32\), 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: \(2.30767661842\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(24\) over \(\Q(\zeta_{68})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{68}]$

Embedding invariants

Embedding label 149.8
Character \(\chi\) \(=\) 289.149
Dual form 289.2.h.a.225.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.800196 + 1.29236i) q^{2} +(1.84517 + 2.69361i) q^{3} +(-0.138406 - 0.277957i) q^{4} +(2.52538 - 3.04120i) q^{5} +(-4.95761 + 0.229204i) q^{6} +(0.0173698 - 0.00766950i) q^{7} +(-2.55713 - 0.236953i) q^{8} +(-2.76717 + 7.14290i) q^{9} +O(q^{10})\) \(q+(-0.800196 + 1.29236i) q^{2} +(1.84517 + 2.69361i) q^{3} +(-0.138406 - 0.277957i) q^{4} +(2.52538 - 3.04120i) q^{5} +(-4.95761 + 0.229204i) q^{6} +(0.0173698 - 0.00766950i) q^{7} +(-2.55713 - 0.236953i) q^{8} +(-2.76717 + 7.14290i) q^{9} +(1.90953 + 5.69726i) q^{10} +(-0.740276 - 0.248115i) q^{11} +(0.493326 - 0.885690i) q^{12} +(0.0108953 - 0.117579i) q^{13} +(-0.00398745 + 0.0285851i) q^{14} +(12.8515 + 1.19087i) q^{15} +(2.72668 - 3.61071i) q^{16} +(-3.58834 + 2.03072i) q^{17} +(-7.01692 - 9.29190i) q^{18} +(2.31533 + 3.73938i) q^{19} +(-1.19485 - 0.281027i) q^{20} +(0.0527088 + 0.0326359i) q^{21} +(0.913020 - 0.758162i) q^{22} +(2.27233 - 1.00333i) q^{23} +(-4.08007 - 7.32513i) q^{24} +(-1.95260 - 10.4455i) q^{25} +(0.143236 + 0.108167i) q^{26} +(-14.8113 + 3.48358i) q^{27} +(-0.00453588 - 0.00376655i) q^{28} +(2.79832 - 8.34905i) q^{29} +(-11.8228 + 15.6559i) q^{30} +(-2.32925 + 1.93418i) q^{31} +(0.629063 + 1.62380i) q^{32} +(-0.697605 - 2.45183i) q^{33} +(0.246946 - 6.26240i) q^{34} +(0.0205408 - 0.0721933i) q^{35} +(2.36842 - 0.219466i) q^{36} +(2.66964 - 1.48698i) q^{37} -6.68534 q^{38} +(0.336815 - 0.187605i) q^{39} +(-7.17835 + 7.17835i) q^{40} +(-0.575472 + 0.394208i) q^{41} +(-0.0843547 + 0.0420036i) q^{42} +(7.47195 - 5.64255i) q^{43} +(0.0334933 + 0.240106i) q^{44} +(14.7348 + 26.4540i) q^{45} +(-0.521643 + 3.73954i) q^{46} +(11.5010 - 4.45551i) q^{47} +(14.7570 + 0.682259i) q^{48} +(-4.71563 + 5.17280i) q^{49} +(15.0618 + 5.83498i) q^{50} +(-12.0911 - 5.91856i) q^{51} +(-0.0341899 + 0.0132452i) q^{52} +(3.08703 - 7.96855i) q^{53} +(7.34987 - 21.9290i) q^{54} +(-2.62404 + 1.62474i) q^{55} +(-0.0462341 + 0.0154961i) q^{56} +(-5.80027 + 13.1364i) q^{57} +(8.55078 + 10.2973i) q^{58} +(-5.26071 - 5.77072i) q^{59} +(-1.44772 - 3.73701i) q^{60} +(-12.7867 + 0.591163i) q^{61} +(-0.635807 - 4.55795i) q^{62} +(0.00671731 + 0.145293i) q^{63} +(6.29322 + 1.17641i) q^{64} +(-0.330066 - 0.330066i) q^{65} +(3.72687 + 1.06038i) q^{66} +(1.94426 - 1.20383i) q^{67} +(1.06110 + 0.716340i) q^{68} +(6.89542 + 4.26946i) q^{69} +(0.0768632 + 0.0843149i) q^{70} +(0.106114 + 0.240325i) q^{71} +(8.76855 - 17.6096i) q^{72} +(-2.29440 + 0.320055i) q^{73} +(-0.214520 + 4.64001i) q^{74} +(24.5332 - 24.5332i) q^{75} +(0.718932 - 1.16112i) q^{76} +(-0.0147613 + 0.00136784i) q^{77} +(-0.0270650 + 0.585407i) q^{78} +(-0.631596 + 2.68538i) q^{79} +(-4.09498 - 17.4108i) q^{80} +(-19.7298 - 17.9861i) q^{81} +(-0.0489680 - 1.05916i) q^{82} +(0.139328 + 0.745338i) q^{83} +(0.00177616 - 0.0191678i) q^{84} +(-2.88608 + 16.0412i) q^{85} +(1.31319 + 14.1716i) q^{86} +(27.6524 - 7.86780i) q^{87} +(1.83419 + 0.809874i) q^{88} +(0.520682 + 5.61905i) q^{89} +(-45.9789 - 2.12573i) q^{90} +(-0.000712523 - 0.00212588i) q^{91} +(-0.593390 - 0.492744i) q^{92} +(-9.50778 - 2.70520i) q^{93} +(-3.44492 + 18.4287i) q^{94} +(17.2193 + 2.40199i) q^{95} +(-3.21315 + 4.69063i) q^{96} +(5.99696 + 13.5818i) q^{97} +(-2.91169 - 10.2335i) q^{98} +(3.82073 - 4.60113i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 768 q - 34 q^{2} - 34 q^{3} + 14 q^{4} - 34 q^{5} - 34 q^{6} - 34 q^{7} - 34 q^{8} - 34 q^{9} + 34 q^{10} - 34 q^{11} - 34 q^{12} - 30 q^{13} - 34 q^{14} - 34 q^{15} - 82 q^{16} - 34 q^{17} - 42 q^{18} - 34 q^{19} - 34 q^{20} - 26 q^{21} - 34 q^{22} - 34 q^{23} - 204 q^{24} + 170 q^{25} - 34 q^{26} - 34 q^{27} - 34 q^{28} - 34 q^{29} - 14 q^{30} - 34 q^{31} - 34 q^{32} + 56 q^{33} - 34 q^{34} - 42 q^{35} - 34 q^{36} - 34 q^{37} + 144 q^{38} - 170 q^{39} - 34 q^{40} - 34 q^{41} - 34 q^{42} - 34 q^{43} - 34 q^{44} - 34 q^{45} + 102 q^{46} - 30 q^{47} - 34 q^{48} - 34 q^{49} - 62 q^{50} + 238 q^{51} - 50 q^{52} + 136 q^{54} - 14 q^{55} - 34 q^{56} - 34 q^{57} - 34 q^{58} - 34 q^{59} - 34 q^{60} - 34 q^{61} - 238 q^{62} - 34 q^{63} + 38 q^{64} - 34 q^{65} + 476 q^{66} + 82 q^{67} - 34 q^{68} - 62 q^{69} - 34 q^{70} - 34 q^{71} + 10 q^{72} - 34 q^{73} - 34 q^{74} + 102 q^{75} - 102 q^{76} - 374 q^{77} - 34 q^{78} + 68 q^{79} - 34 q^{80} + 30 q^{81} - 34 q^{82} + 102 q^{83} - 82 q^{84} - 204 q^{85} - 62 q^{86} - 34 q^{87} + 170 q^{88} - 22 q^{89} - 34 q^{90} - 34 q^{91} + 34 q^{92} - 34 q^{93} + 238 q^{94} - 34 q^{95} + 544 q^{96} - 34 q^{97} + 10 q^{98} - 34 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{21}{68}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.800196 + 1.29236i −0.565824 + 0.913837i 0.434092 + 0.900869i \(0.357069\pi\)
−0.999916 + 0.0129686i \(0.995872\pi\)
\(3\) 1.84517 + 2.69361i 1.06531 + 1.55516i 0.808322 + 0.588741i \(0.200376\pi\)
0.256985 + 0.966415i \(0.417271\pi\)
\(4\) −0.138406 0.277957i −0.0692032 0.138979i
\(5\) 2.52538 3.04120i 1.12938 1.36007i 0.204928 0.978777i \(-0.434304\pi\)
0.924456 0.381288i \(-0.124519\pi\)
\(6\) −4.95761 + 0.229204i −2.02394 + 0.0935722i
\(7\) 0.0173698 0.00766950i 0.00656516 0.00289880i −0.400636 0.916237i \(-0.631211\pi\)
0.407201 + 0.913339i \(0.366505\pi\)
\(8\) −2.55713 0.236953i −0.904082 0.0837756i
\(9\) −2.76717 + 7.14290i −0.922391 + 2.38097i
\(10\) 1.90953 + 5.69726i 0.603846 + 1.80163i
\(11\) −0.740276 0.248115i −0.223201 0.0748096i 0.203982 0.978975i \(-0.434612\pi\)
−0.427183 + 0.904165i \(0.640494\pi\)
\(12\) 0.493326 0.885690i 0.142411 0.255677i
\(13\) 0.0108953 0.117579i 0.00302181 0.0326105i −0.994090 0.108561i \(-0.965376\pi\)
0.997112 + 0.0759507i \(0.0241992\pi\)
\(14\) −0.00398745 + 0.0285851i −0.00106569 + 0.00763969i
\(15\) 12.8515 + 1.19087i 3.31825 + 0.307482i
\(16\) 2.72668 3.61071i 0.681671 0.902678i
\(17\) −3.58834 + 2.03072i −0.870300 + 0.492523i
\(18\) −7.01692 9.29190i −1.65390 2.19012i
\(19\) 2.31533 + 3.73938i 0.531172 + 0.857872i 0.999672 0.0255910i \(-0.00814674\pi\)
−0.468500 + 0.883463i \(0.655206\pi\)
\(20\) −1.19485 0.281027i −0.267177 0.0628395i
\(21\) 0.0527088 + 0.0326359i 0.0115020 + 0.00712173i
\(22\) 0.913020 0.758162i 0.194657 0.161641i
\(23\) 2.27233 1.00333i 0.473814 0.209210i −0.153234 0.988190i \(-0.548969\pi\)
0.627048 + 0.778980i \(0.284263\pi\)
\(24\) −4.08007 7.32513i −0.832841 1.49524i
\(25\) −1.95260 10.4455i −0.390520 2.08910i
\(26\) 0.143236 + 0.108167i 0.0280909 + 0.0212133i
\(27\) −14.8113 + 3.48358i −2.85043 + 0.670415i
\(28\) −0.00453588 0.00376655i −0.000857201 0.000711811i
\(29\) 2.79832 8.34905i 0.519635 1.55038i −0.286158 0.958182i \(-0.592378\pi\)
0.805793 0.592197i \(-0.201739\pi\)
\(30\) −11.8228 + 15.6559i −2.15854 + 2.85836i
\(31\) −2.32925 + 1.93418i −0.418345 + 0.347389i −0.823953 0.566658i \(-0.808236\pi\)
0.405608 + 0.914047i \(0.367060\pi\)
\(32\) 0.629063 + 1.62380i 0.111204 + 0.287050i
\(33\) −0.697605 2.45183i −0.121437 0.426808i
\(34\) 0.246946 6.26240i 0.0423509 1.07399i
\(35\) 0.0205408 0.0721933i 0.00347202 0.0122029i
\(36\) 2.36842 0.219466i 0.394736 0.0365777i
\(37\) 2.66964 1.48698i 0.438886 0.244458i −0.251560 0.967842i \(-0.580944\pi\)
0.690446 + 0.723384i \(0.257414\pi\)
\(38\) −6.68534 −1.08451
\(39\) 0.336815 0.187605i 0.0539336 0.0300408i
\(40\) −7.17835 + 7.17835i −1.13500 + 1.13500i
\(41\) −0.575472 + 0.394208i −0.0898736 + 0.0615649i −0.609234 0.792990i \(-0.708523\pi\)
0.519361 + 0.854555i \(0.326170\pi\)
\(42\) −0.0843547 + 0.0420036i −0.0130162 + 0.00648130i
\(43\) 7.47195 5.64255i 1.13946 0.860481i 0.147757 0.989024i \(-0.452795\pi\)
0.991704 + 0.128542i \(0.0410299\pi\)
\(44\) 0.0334933 + 0.240106i 0.00504931 + 0.0361973i
\(45\) 14.7348 + 26.4540i 2.19654 + 3.94354i
\(46\) −0.521643 + 3.73954i −0.0769121 + 0.551365i
\(47\) 11.5010 4.45551i 1.67759 0.649903i 0.680992 0.732291i \(-0.261549\pi\)
0.996600 + 0.0823879i \(0.0262546\pi\)
\(48\) 14.7570 + 0.682259i 2.12999 + 0.0984756i
\(49\) −4.71563 + 5.17280i −0.673661 + 0.738971i
\(50\) 15.0618 + 5.83498i 2.13006 + 0.825191i
\(51\) −12.0911 5.91856i −1.69309 0.828764i
\(52\) −0.0341899 + 0.0132452i −0.00474129 + 0.00183678i
\(53\) 3.08703 7.96855i 0.424037 1.09456i −0.542956 0.839761i \(-0.682695\pi\)
0.966993 0.254804i \(-0.0820109\pi\)
\(54\) 7.34987 21.9290i 1.00019 2.98416i
\(55\) −2.62404 + 1.62474i −0.353826 + 0.219080i
\(56\) −0.0462341 + 0.0154961i −0.00617829 + 0.00207075i
\(57\) −5.80027 + 13.1364i −0.768264 + 1.73995i
\(58\) 8.55078 + 10.2973i 1.12277 + 1.35210i
\(59\) −5.26071 5.77072i −0.684886 0.751284i 0.293974 0.955813i \(-0.405022\pi\)
−0.978861 + 0.204529i \(0.934434\pi\)
\(60\) −1.44772 3.73701i −0.186900 0.482445i
\(61\) −12.7867 + 0.591163i −1.63717 + 0.0756907i −0.845052 0.534684i \(-0.820431\pi\)
−0.792113 + 0.610375i \(0.791019\pi\)
\(62\) −0.635807 4.55795i −0.0807476 0.578860i
\(63\) 0.00671731 + 0.145293i 0.000846302 + 0.0183052i
\(64\) 6.29322 + 1.17641i 0.786653 + 0.147051i
\(65\) −0.330066 0.330066i −0.0409396 0.0409396i
\(66\) 3.72687 + 1.06038i 0.458746 + 0.130524i
\(67\) 1.94426 1.20383i 0.237529 0.147072i −0.402506 0.915417i \(-0.631861\pi\)
0.640035 + 0.768345i \(0.278920\pi\)
\(68\) 1.06110 + 0.716340i 0.128678 + 0.0868690i
\(69\) 6.89542 + 4.26946i 0.830111 + 0.513983i
\(70\) 0.0768632 + 0.0843149i 0.00918691 + 0.0100776i
\(71\) 0.106114 + 0.240325i 0.0125934 + 0.0285213i 0.920979 0.389611i \(-0.127391\pi\)
−0.908386 + 0.418133i \(0.862685\pi\)
\(72\) 8.76855 17.6096i 1.03338 2.07531i
\(73\) −2.29440 + 0.320055i −0.268539 + 0.0374596i −0.271150 0.962537i \(-0.587404\pi\)
0.00261135 + 0.999997i \(0.499169\pi\)
\(74\) −0.214520 + 4.64001i −0.0249375 + 0.539390i
\(75\) 24.5332 24.5332i 2.83285 2.83285i
\(76\) 0.718932 1.16112i 0.0824672 0.133189i
\(77\) −0.0147613 + 0.00136784i −0.00168221 + 0.000155880i
\(78\) −0.0270650 + 0.585407i −0.00306451 + 0.0662843i
\(79\) −0.631596 + 2.68538i −0.0710600 + 0.302129i −0.997175 0.0751125i \(-0.976068\pi\)
0.926115 + 0.377241i \(0.123127\pi\)
\(80\) −4.09498 17.4108i −0.457833 1.94659i
\(81\) −19.7298 17.9861i −2.19220 1.99846i
\(82\) −0.0489680 1.05916i −0.00540761 0.116965i
\(83\) 0.139328 + 0.745338i 0.0152932 + 0.0818115i 0.989768 0.142685i \(-0.0455735\pi\)
−0.974475 + 0.224496i \(0.927926\pi\)
\(84\) 0.00177616 0.0191678i 0.000193795 0.00209138i
\(85\) −2.88608 + 16.0412i −0.313039 + 1.73991i
\(86\) 1.31319 + 14.1716i 0.141605 + 1.52816i
\(87\) 27.6524 7.86780i 2.96465 0.843517i
\(88\) 1.83419 + 0.809874i 0.195525 + 0.0863329i
\(89\) 0.520682 + 5.61905i 0.0551922 + 0.595619i 0.977752 + 0.209764i \(0.0672697\pi\)
−0.922560 + 0.385854i \(0.873907\pi\)
\(90\) −45.9789 2.12573i −4.84660 0.224072i
\(91\) −0.000712523 0.00212588i −7.46927e−5 0.000222853i
\(92\) −0.593390 0.492744i −0.0618651 0.0513722i
\(93\) −9.50778 2.70520i −0.985911 0.280516i
\(94\) −3.44492 + 18.4287i −0.355317 + 1.90078i
\(95\) 17.2193 + 2.40199i 1.76666 + 0.246439i
\(96\) −3.21315 + 4.69063i −0.327941 + 0.478735i
\(97\) 5.99696 + 13.5818i 0.608899 + 1.37903i 0.905632 + 0.424065i \(0.139397\pi\)
−0.296732 + 0.954961i \(0.595897\pi\)
\(98\) −2.91169 10.2335i −0.294125 1.03374i
\(99\) 3.82073 4.60113i 0.383998 0.462431i
\(100\) −2.63315 + 1.98846i −0.263315 + 0.198846i
\(101\) −6.30712 5.74970i −0.627582 0.572117i 0.296157 0.955139i \(-0.404295\pi\)
−0.923739 + 0.383023i \(0.874883\pi\)
\(102\) 17.3241 10.8900i 1.71534 1.07827i
\(103\) −3.93497 + 3.58720i −0.387724 + 0.353457i −0.843964 0.536399i \(-0.819784\pi\)
0.456240 + 0.889857i \(0.349196\pi\)
\(104\) −0.0557213 + 0.298083i −0.00546393 + 0.0292294i
\(105\) 0.232362 0.0778798i 0.0226762 0.00760029i
\(106\) 7.82801 + 10.3660i 0.760324 + 1.00683i
\(107\) −12.9738 3.05140i −1.25422 0.294990i −0.452000 0.892018i \(-0.649289\pi\)
−0.802220 + 0.597028i \(0.796348\pi\)
\(108\) 3.01826 + 3.63475i 0.290432 + 0.349754i
\(109\) −8.76219 + 12.7912i −0.839266 + 1.22518i 0.132957 + 0.991122i \(0.457553\pi\)
−0.972223 + 0.234055i \(0.924800\pi\)
\(110\) 4.69132i 0.447300i
\(111\) 8.93126 + 4.44724i 0.847718 + 0.422113i
\(112\) 0.0196695 0.0836295i 0.00185859 0.00790225i
\(113\) 0.369742 0.253279i 0.0347824 0.0238265i −0.547620 0.836727i \(-0.684466\pi\)
0.582402 + 0.812901i \(0.302113\pi\)
\(114\) −12.3356 18.0077i −1.15533 1.68658i
\(115\) 2.68717 9.44442i 0.250580 0.880697i
\(116\) −2.70799 + 0.377748i −0.251430 + 0.0350730i
\(117\) 0.809705 + 0.403185i 0.0748572 + 0.0372745i
\(118\) 11.6675 2.18103i 1.07408 0.200780i
\(119\) −0.0467540 + 0.0627940i −0.00428593 + 0.00575631i
\(120\) −32.5809 6.09043i −2.97422 0.555977i
\(121\) −8.29174 6.26163i −0.753795 0.569239i
\(122\) 9.46784 16.9980i 0.857178 1.53893i
\(123\) −2.12368 0.822719i −0.191486 0.0741821i
\(124\) 0.860003 + 0.379728i 0.0772305 + 0.0341006i
\(125\) −19.4306 10.8228i −1.73793 0.968019i
\(126\) −0.193147 0.107582i −0.0172069 0.00958416i
\(127\) 7.92570 2.25506i 0.703292 0.200104i 0.0969286 0.995291i \(-0.469098\pi\)
0.606364 + 0.795187i \(0.292628\pi\)
\(128\) −8.90249 + 9.76556i −0.786876 + 0.863162i
\(129\) 28.9858 + 9.71507i 2.55206 + 0.855364i
\(130\) 0.690682 0.162447i 0.0605768 0.0142475i
\(131\) −1.06740 1.06740i −0.0932592 0.0932592i 0.658938 0.752197i \(-0.271006\pi\)
−0.752197 + 0.658938i \(0.771006\pi\)
\(132\) −0.584951 + 0.533253i −0.0509134 + 0.0464137i
\(133\) 0.0688958 + 0.0471948i 0.00597403 + 0.00409230i
\(134\) 3.47599i 0.300279i
\(135\) −26.8098 + 53.8414i −2.30742 + 4.63393i
\(136\) 9.65703 4.34256i 0.828084 0.372371i
\(137\) 5.60736 + 11.2611i 0.479069 + 0.962101i 0.994457 + 0.105144i \(0.0335303\pi\)
−0.515388 + 0.856957i \(0.672352\pi\)
\(138\) −11.0354 + 5.49497i −0.939394 + 0.467763i
\(139\) 2.12931 + 9.05327i 0.180606 + 0.767888i 0.984824 + 0.173554i \(0.0555253\pi\)
−0.804219 + 0.594334i \(0.797416\pi\)
\(140\) −0.0229096 + 0.00428255i −0.00193622 + 0.000361942i
\(141\) 33.2226 + 22.7580i 2.79785 + 1.91657i
\(142\) −0.395499 0.0551697i −0.0331895 0.00462974i
\(143\) −0.0372386 + 0.0843375i −0.00311405 + 0.00705265i
\(144\) 18.2457 + 29.4679i 1.52048 + 2.45566i
\(145\) −18.3243 29.5948i −1.52175 2.45771i
\(146\) 1.42234 3.22130i 0.117714 0.266596i
\(147\) −22.6346 3.15739i −1.86687 0.260417i
\(148\) −0.782811 0.536238i −0.0643467 0.0440785i
\(149\) −16.9664 + 3.17157i −1.38994 + 0.259825i −0.824920 0.565249i \(-0.808780\pi\)
−0.565023 + 0.825075i \(0.691133\pi\)
\(150\) 12.0744 + 51.3372i 0.985870 + 4.19166i
\(151\) −16.4236 + 8.17797i −1.33653 + 0.665514i −0.964839 0.262842i \(-0.915340\pi\)
−0.371693 + 0.928356i \(0.621222\pi\)
\(152\) −5.03453 10.1107i −0.408354 0.820086i
\(153\) −4.57570 31.2505i −0.369923 2.52645i
\(154\) 0.0100442 0.0201715i 0.000809386 0.00162547i
\(155\) 11.9682i 0.961313i
\(156\) −0.0987635 0.0676546i −0.00790741 0.00541670i
\(157\) 3.57904 3.26273i 0.285638 0.260394i −0.518176 0.855274i \(-0.673389\pi\)
0.803814 + 0.594880i \(0.202801\pi\)
\(158\) −2.96508 2.96508i −0.235889 0.235889i
\(159\) 27.1603 6.38804i 2.15395 0.506604i
\(160\) 6.52692 + 2.18760i 0.515998 + 0.172945i
\(161\) 0.0317749 0.0348554i 0.00250421 0.00274699i
\(162\) 39.0323 11.1056i 3.06667 0.872542i
\(163\) −10.1740 5.66687i −0.796888 0.443864i 0.0346035 0.999401i \(-0.488983\pi\)
−0.831492 + 0.555537i \(0.812513\pi\)
\(164\) 0.189222 + 0.105396i 0.0147757 + 0.00823004i
\(165\) −9.21821 4.07024i −0.717637 0.316868i
\(166\) −1.07474 0.416355i −0.0834157 0.0323154i
\(167\) 2.93961 5.27762i 0.227474 0.408394i −0.735686 0.677323i \(-0.763140\pi\)
0.963160 + 0.268928i \(0.0866695\pi\)
\(168\) −0.127050 0.0959437i −0.00980212 0.00740222i
\(169\) 12.7649 + 2.38618i 0.981919 + 0.183552i
\(170\) −18.4216 16.5660i −1.41287 1.27055i
\(171\) −33.1169 + 6.19062i −2.53251 + 0.473409i
\(172\) −2.60255 1.29592i −0.198443 0.0988128i
\(173\) −1.28559 + 0.179333i −0.0977419 + 0.0136344i −0.186859 0.982387i \(-0.559831\pi\)
0.0891171 + 0.996021i \(0.471595\pi\)
\(174\) −11.9593 + 42.0327i −0.906635 + 3.18649i
\(175\) −0.114028 0.166460i −0.00861971 0.0125832i
\(176\) −2.91437 + 1.99639i −0.219679 + 0.150484i
\(177\) 5.83720 24.8182i 0.438751 1.86545i
\(178\) −7.67849 3.82344i −0.575527 0.286579i
\(179\) 11.8974i 0.889250i 0.895717 + 0.444625i \(0.146663\pi\)
−0.895717 + 0.444625i \(0.853337\pi\)
\(180\) 5.31371 7.75706i 0.396060 0.578177i
\(181\) −0.832614 1.00268i −0.0618877 0.0745285i 0.737487 0.675361i \(-0.236012\pi\)
−0.799375 + 0.600833i \(0.794836\pi\)
\(182\) 0.00331756 0.000780283i 0.000245914 5.78385e-5i
\(183\) −25.1859 33.3515i −1.86179 2.46541i
\(184\) −6.04840 + 2.02722i −0.445894 + 0.149449i
\(185\) 2.21965 11.8741i 0.163192 0.873000i
\(186\) 11.1042 10.1228i 0.814198 0.742239i
\(187\) 3.16021 0.612973i 0.231098 0.0448250i
\(188\) −2.83025 2.58012i −0.206417 0.188174i
\(189\) −0.230551 + 0.174104i −0.0167701 + 0.0126642i
\(190\) −16.8830 + 20.3315i −1.22482 + 1.47500i
\(191\) −1.26836 4.45782i −0.0917753 0.322557i 0.902320 0.431067i \(-0.141863\pi\)
−0.994095 + 0.108510i \(0.965392\pi\)
\(192\) 8.44325 + 19.1221i 0.609339 + 1.38002i
\(193\) −2.41573 + 3.52653i −0.173888 + 0.253845i −0.902120 0.431486i \(-0.857990\pi\)
0.728232 + 0.685331i \(0.240343\pi\)
\(194\) −22.3514 3.11788i −1.60473 0.223851i
\(195\) 0.280043 1.49810i 0.0200543 0.107281i
\(196\) 2.09049 + 0.594796i 0.149321 + 0.0424854i
\(197\) −6.20020 5.14858i −0.441746 0.366821i 0.391079 0.920357i \(-0.372102\pi\)
−0.832825 + 0.553536i \(0.813278\pi\)
\(198\) 2.88899 + 8.61957i 0.205312 + 0.612566i
\(199\) −3.24207 0.149890i −0.229825 0.0106254i −0.0690354 0.997614i \(-0.521992\pi\)
−0.160789 + 0.986989i \(0.551404\pi\)
\(200\) 2.51797 + 27.1732i 0.178047 + 1.92143i
\(201\) 6.83014 + 3.01580i 0.481761 + 0.212718i
\(202\) 12.4776 3.55019i 0.877923 0.249791i
\(203\) −0.0154269 0.166483i −0.00108276 0.0116848i
\(204\) 0.0283709 + 4.17996i 0.00198636 + 0.292656i
\(205\) −0.254422 + 2.74565i −0.0177696 + 0.191764i
\(206\) −1.48721 7.95587i −0.103619 0.554311i
\(207\) 0.878767 + 19.0074i 0.0610785 + 1.32111i
\(208\) −0.394835 0.359940i −0.0273769 0.0249574i
\(209\) −0.786181 3.34264i −0.0543813 0.231215i
\(210\) −0.0852861 + 0.362614i −0.00588530 + 0.0250228i
\(211\) 0.640000 13.8430i 0.0440594 0.952991i −0.855933 0.517086i \(-0.827017\pi\)
0.899993 0.435905i \(-0.143572\pi\)
\(212\) −2.64218 + 0.244834i −0.181466 + 0.0168153i
\(213\) −0.451544 + 0.729269i −0.0309393 + 0.0499687i
\(214\) 14.3251 14.3251i 0.979240 0.979240i
\(215\) 1.70938 36.9733i 0.116579 2.52156i
\(216\) 38.6998 5.39839i 2.63319 0.367314i
\(217\) −0.0256243 + 0.0514605i −0.00173949 + 0.00349336i
\(218\) −9.51941 21.5594i −0.644736 1.46019i
\(219\) −5.09565 5.58966i −0.344332 0.377714i
\(220\) 0.814793 + 0.504498i 0.0549333 + 0.0340133i
\(221\) 0.199674 + 0.444038i 0.0134315 + 0.0298692i
\(222\) −12.8942 + 7.98375i −0.865402 + 0.535834i
\(223\) 18.6598 + 5.30918i 1.24956 + 0.355529i 0.832843 0.553509i \(-0.186712\pi\)
0.416712 + 0.909038i \(0.363182\pi\)
\(224\) 0.0233804 + 0.0233804i 0.00156217 + 0.00156217i
\(225\) 80.0143 + 14.9573i 5.33429 + 0.997151i
\(226\) 0.0314620 + 0.680513i 0.00209282 + 0.0452670i
\(227\) −0.107406 0.769971i −0.00712882 0.0511048i 0.986516 0.163663i \(-0.0523309\pi\)
−0.993645 + 0.112558i \(0.964096\pi\)
\(228\) 4.45414 0.205927i 0.294983 0.0136379i
\(229\) −5.25055 13.5532i −0.346966 0.895622i −0.991389 0.130953i \(-0.958196\pi\)
0.644423 0.764669i \(-0.277098\pi\)
\(230\) 10.0553 + 11.0302i 0.663029 + 0.727308i
\(231\) −0.0309215 0.0372374i −0.00203449 0.00245004i
\(232\) −9.13400 + 20.6865i −0.599677 + 1.35814i
\(233\) −1.38755 + 0.465059i −0.0909013 + 0.0304671i −0.362877 0.931837i \(-0.618205\pi\)
0.271975 + 0.962304i \(0.412323\pi\)
\(234\) −1.16898 + 0.723803i −0.0764188 + 0.0473165i
\(235\) 15.4943 46.2287i 1.01074 3.01563i
\(236\) −0.875900 + 2.26096i −0.0570162 + 0.147176i
\(237\) −8.39876 + 3.25370i −0.545558 + 0.211350i
\(238\) −0.0437401 0.110670i −0.00283525 0.00717370i
\(239\) 12.8906 + 4.99385i 0.833824 + 0.323025i 0.740036 0.672567i \(-0.234808\pi\)
0.0937876 + 0.995592i \(0.470103\pi\)
\(240\) 39.3420 43.1561i 2.53951 2.78571i
\(241\) −19.2853 0.891613i −1.24228 0.0574339i −0.584968 0.811056i \(-0.698893\pi\)
−0.657308 + 0.753622i \(0.728305\pi\)
\(242\) 14.7273 5.70539i 0.946707 0.366756i
\(243\) 5.73646 41.1233i 0.367994 2.63806i
\(244\) 1.93407 + 3.47233i 0.123816 + 0.222293i
\(245\) 3.82275 + 27.4044i 0.244227 + 1.75080i
\(246\) 2.76261 2.08623i 0.176138 0.133013i
\(247\) 0.464898 0.231492i 0.0295808 0.0147295i
\(248\) 6.41450 4.39403i 0.407321 0.279021i
\(249\) −1.75057 + 1.75057i −0.110938 + 0.110938i
\(250\) 29.5352 16.4510i 1.86797 1.04045i
\(251\) 14.7892 0.933485 0.466743 0.884393i \(-0.345427\pi\)
0.466743 + 0.884393i \(0.345427\pi\)
\(252\) 0.0394556 0.0219766i 0.00248547 0.00138440i
\(253\) −1.93110 + 0.178942i −0.121407 + 0.0112500i
\(254\) −3.42777 + 12.0474i −0.215077 + 0.755918i
\(255\) −48.5340 + 21.8247i −3.03932 + 1.36671i
\(256\) −1.99279 7.00393i −0.124549 0.437746i
\(257\) 7.45675 + 19.2481i 0.465139 + 1.20066i 0.946087 + 0.323913i \(0.104999\pi\)
−0.480948 + 0.876749i \(0.659707\pi\)
\(258\) −35.7497 + 29.6862i −2.22568 + 1.84818i
\(259\) 0.0349666 0.0463032i 0.00217272 0.00287714i
\(260\) −0.0460611 + 0.137428i −0.00285659 + 0.00852289i
\(261\) 51.8930 + 43.0914i 3.21209 + 2.66729i
\(262\) 2.23360 0.525337i 0.137992 0.0324554i
\(263\) −11.9255 9.00569i −0.735355 0.555314i 0.167182 0.985926i \(-0.446533\pi\)
−0.902537 + 0.430612i \(0.858298\pi\)
\(264\) 1.20290 + 6.43494i 0.0740333 + 0.396043i
\(265\) −16.4380 29.5119i −1.00978 1.81290i
\(266\) −0.116123 + 0.0512732i −0.00711995 + 0.00314376i
\(267\) −14.1748 + 11.7706i −0.867483 + 0.720349i
\(268\) −0.603712 0.373803i −0.0368776 0.0228336i
\(269\) −11.1205 2.61552i −0.678029 0.159471i −0.124397 0.992233i \(-0.539700\pi\)
−0.553632 + 0.832762i \(0.686758\pi\)
\(270\) −48.1294 77.7316i −2.92906 4.73059i
\(271\) 11.3951 + 15.0895i 0.692200 + 0.916621i 0.999386 0.0350283i \(-0.0111521\pi\)
−0.307186 + 0.951649i \(0.599387\pi\)
\(272\) −2.45190 + 18.4936i −0.148668 + 1.12134i
\(273\) 0.00441157 0.00584186i 0.000267000 0.000353565i
\(274\) −19.0404 1.76435i −1.15027 0.106588i
\(275\) −1.14622 + 8.21702i −0.0691200 + 0.495505i
\(276\) 0.232359 2.50755i 0.0139864 0.150937i
\(277\) 4.70933 8.45486i 0.282956 0.508004i −0.694404 0.719585i \(-0.744332\pi\)
0.977360 + 0.211582i \(0.0678614\pi\)
\(278\) −13.4040 4.49255i −0.803916 0.269445i
\(279\) −7.37023 21.9898i −0.441244 1.31649i
\(280\) −0.0696319 + 0.179741i −0.00416130 + 0.0107416i
\(281\) 12.6498 + 1.17217i 0.754622 + 0.0699261i 0.462699 0.886516i \(-0.346881\pi\)
0.291924 + 0.956442i \(0.405705\pi\)
\(282\) −55.9962 + 24.7248i −3.33453 + 1.47234i
\(283\) −7.38297 + 0.341335i −0.438872 + 0.0202903i −0.264491 0.964388i \(-0.585204\pi\)
−0.174381 + 0.984678i \(0.555792\pi\)
\(284\) 0.0521133 0.0627576i 0.00309235 0.00372398i
\(285\) 25.3024 + 50.8141i 1.49878 + 3.00996i
\(286\) −0.0791963 0.115612i −0.00468297 0.00683630i
\(287\) −0.00697244 + 0.0112609i −0.000411570 + 0.000664709i
\(288\) −13.3393 −0.786029
\(289\) 8.75233 14.5738i 0.514843 0.857285i
\(290\) 52.9102 3.10699
\(291\) −25.5188 + 41.2142i −1.49594 + 2.41602i
\(292\) 0.406521 + 0.593447i 0.0237898 + 0.0347289i
\(293\) 5.52681 + 11.0993i 0.322880 + 0.648430i 0.995827 0.0912603i \(-0.0290895\pi\)
−0.672947 + 0.739691i \(0.734972\pi\)
\(294\) 22.1926 26.7255i 1.29430 1.55867i
\(295\) −30.8352 + 1.42560i −1.79530 + 0.0830015i
\(296\) −7.17895 + 3.16982i −0.417268 + 0.184242i
\(297\) 11.8287 + 1.09609i 0.686373 + 0.0636019i
\(298\) 9.47764 24.4646i 0.549025 1.41720i
\(299\) −0.0932131 0.278110i −0.00539065 0.0160835i
\(300\) −10.2147 3.42364i −0.589748 0.197664i
\(301\) 0.0865104 0.155316i 0.00498638 0.00895226i
\(302\) 2.57319 27.7692i 0.148071 1.59794i
\(303\) 3.84977 27.5981i 0.221163 1.58547i
\(304\) 19.8150 + 1.83613i 1.13647 + 0.105309i
\(305\) −30.4933 + 40.3797i −1.74604 + 2.31214i
\(306\) 44.0484 + 19.0931i 2.51808 + 1.09148i
\(307\) 12.4857 + 16.5337i 0.712596 + 0.943630i 0.999899 0.0142101i \(-0.00452336\pi\)
−0.287303 + 0.957840i \(0.592759\pi\)
\(308\) 0.00242326 + 0.00391371i 0.000138078 + 0.000223004i
\(309\) −16.9232 3.98030i −0.962727 0.226431i
\(310\) −15.4673 9.57694i −0.878483 0.543934i
\(311\) −21.3754 + 17.7499i −1.21209 + 1.00651i −0.212519 + 0.977157i \(0.568167\pi\)
−0.999569 + 0.0293484i \(0.990657\pi\)
\(312\) −0.905734 + 0.399921i −0.0512771 + 0.0226411i
\(313\) −1.63488 2.93517i −0.0924087 0.165905i 0.823471 0.567359i \(-0.192035\pi\)
−0.915880 + 0.401453i \(0.868505\pi\)
\(314\) 1.35269 + 7.23623i 0.0763365 + 0.408364i
\(315\) 0.458830 + 0.346492i 0.0258521 + 0.0195226i
\(316\) 0.833838 0.196117i 0.0469070 0.0110324i
\(317\) 15.3531 + 12.7491i 0.862316 + 0.716058i 0.960252 0.279135i \(-0.0900476\pi\)
−0.0979360 + 0.995193i \(0.531224\pi\)
\(318\) −13.4779 + 40.2125i −0.755802 + 2.25501i
\(319\) −4.14306 + 5.48629i −0.231967 + 0.307173i
\(320\) 19.4705 16.1681i 1.08843 0.903822i
\(321\) −15.7194 40.5766i −0.877374 2.26476i
\(322\) 0.0196196 + 0.0689557i 0.00109336 + 0.00384275i
\(323\) −15.9018 8.71637i −0.884800 0.484992i
\(324\) −2.26864 + 7.97345i −0.126036 + 0.442969i
\(325\) −1.24944 + 0.115778i −0.0693067 + 0.00642221i
\(326\) 15.4648 8.61385i 0.856517 0.477077i
\(327\) −50.6223 −2.79942
\(328\) 1.56497 0.871680i 0.0864108 0.0481305i
\(329\) 0.165598 0.165598i 0.00912972 0.00912972i
\(330\) 12.6366 8.65627i 0.695622 0.476512i
\(331\) 5.81974 2.89788i 0.319882 0.159282i −0.278625 0.960400i \(-0.589879\pi\)
0.598507 + 0.801118i \(0.295761\pi\)
\(332\) 0.187888 0.141887i 0.0103117 0.00778705i
\(333\) 3.23398 + 23.1837i 0.177221 + 1.27046i
\(334\) 4.46832 + 8.02217i 0.244496 + 0.438954i
\(335\) 1.24889 8.95301i 0.0682343 0.489155i
\(336\) 0.261559 0.101328i 0.0142692 0.00552792i
\(337\) 25.5991 + 1.18352i 1.39447 + 0.0644704i 0.730310 0.683116i \(-0.239376\pi\)
0.664164 + 0.747587i \(0.268788\pi\)
\(338\) −13.2983 + 14.5875i −0.723330 + 0.793455i
\(339\) 1.36447 + 0.528598i 0.0741078 + 0.0287095i
\(340\) 4.85822 1.41800i 0.263474 0.0769016i
\(341\) 2.20418 0.853906i 0.119363 0.0462416i
\(342\) 18.4995 47.7527i 1.00034 2.58217i
\(343\) −0.0844753 + 0.252040i −0.00456124 + 0.0136089i
\(344\) −20.4438 + 12.6582i −1.10225 + 0.682487i
\(345\) 30.3978 10.1883i 1.63657 0.548521i
\(346\) 0.796964 1.80495i 0.0428451 0.0970348i
\(347\) 8.06569 + 9.71314i 0.432989 + 0.521428i 0.940306 0.340331i \(-0.110539\pi\)
−0.507317 + 0.861760i \(0.669363\pi\)
\(348\) −6.01419 6.59725i −0.322394 0.353650i
\(349\) 3.38719 + 8.74334i 0.181312 + 0.468020i 0.993288 0.115671i \(-0.0369019\pi\)
−0.811976 + 0.583691i \(0.801608\pi\)
\(350\) 0.306372 0.0141644i 0.0163763 0.000757120i
\(351\) 0.248222 + 1.77945i 0.0132491 + 0.0949798i
\(352\) −0.0627905 1.35814i −0.00334675 0.0723890i
\(353\) −24.6480 4.60750i −1.31188 0.245233i −0.519085 0.854723i \(-0.673727\pi\)
−0.792794 + 0.609490i \(0.791374\pi\)
\(354\) 27.4032 + 27.4032i 1.45646 + 1.45646i
\(355\) 0.998854 + 0.284198i 0.0530137 + 0.0150837i
\(356\) 1.48979 0.922440i 0.0789588 0.0488892i
\(357\) −0.255411 0.0100716i −0.0135178 0.000533048i
\(358\) −15.3757 9.52022i −0.812630 0.503159i
\(359\) 7.55313 + 8.28539i 0.398639 + 0.437286i 0.905244 0.424892i \(-0.139688\pi\)
−0.506605 + 0.862178i \(0.669100\pi\)
\(360\) −31.4105 71.1379i −1.65548 3.74930i
\(361\) −0.153193 + 0.307653i −0.00806279 + 0.0161923i
\(362\) 1.96208 0.273698i 0.103124 0.0143852i
\(363\) 1.56676 33.8885i 0.0822335 1.77868i
\(364\) −0.000492286 0 0.000492286i −2.58028e−5 0 2.58028e-5i
\(365\) −4.82088 + 7.78598i −0.252336 + 0.407537i
\(366\) 63.2558 5.86151i 3.30643 0.306386i
\(367\) 1.21114 26.1966i 0.0632210 1.36745i −0.696666 0.717395i \(-0.745334\pi\)
0.759887 0.650055i \(-0.225254\pi\)
\(368\) 2.57319 10.9405i 0.134137 0.570314i
\(369\) −1.22335 5.20138i −0.0636852 0.270773i
\(370\) 13.5694 + 12.3702i 0.705442 + 0.643095i
\(371\) −0.00749378 0.162088i −0.000389058 0.00841519i
\(372\) 0.564007 + 3.01717i 0.0292424 + 0.156433i
\(373\) 3.13681 33.8515i 0.162418 1.75277i −0.391486 0.920184i \(-0.628039\pi\)
0.553903 0.832581i \(-0.313138\pi\)
\(374\) −1.73661 + 4.57463i −0.0897978 + 0.236549i
\(375\) −6.70035 72.3083i −0.346005 3.73399i
\(376\) −30.4653 + 8.66812i −1.57113 + 0.447024i
\(377\) −0.951184 0.419989i −0.0489884 0.0216305i
\(378\) −0.0405193 0.437272i −0.00208409 0.0224909i
\(379\) 28.4944 + 1.31738i 1.46366 + 0.0676691i 0.763264 0.646086i \(-0.223595\pi\)
0.700395 + 0.713755i \(0.253007\pi\)
\(380\) −1.71561 5.11867i −0.0880087 0.262582i
\(381\) 20.6985 + 17.1878i 1.06041 + 0.880557i
\(382\) 6.77605 + 1.92795i 0.346693 + 0.0986427i
\(383\) −4.55574 + 24.3710i −0.232787 + 1.24530i 0.644226 + 0.764835i \(0.277180\pi\)
−0.877013 + 0.480467i \(0.840467\pi\)
\(384\) −42.7312 5.96074i −2.18062 0.304183i
\(385\) −0.0331181 + 0.0483465i −0.00168786 + 0.00246396i
\(386\) −2.62450 5.94392i −0.133583 0.302537i
\(387\) 19.6280 + 68.9853i 0.997747 + 3.50672i
\(388\) 2.94515 3.54671i 0.149517 0.180057i
\(389\) −7.54822 + 5.70015i −0.382710 + 0.289009i −0.776408 0.630231i \(-0.782960\pi\)
0.393698 + 0.919240i \(0.371196\pi\)
\(390\) 1.71199 + 1.56069i 0.0866900 + 0.0790284i
\(391\) −6.11641 + 8.21478i −0.309320 + 0.415439i
\(392\) 13.2842 12.1101i 0.670953 0.611654i
\(393\) 0.905630 4.84469i 0.0456830 0.244382i
\(394\) 11.6152 3.89302i 0.585166 0.196128i
\(395\) 6.57175 + 8.70241i 0.330661 + 0.437866i
\(396\) −1.80773 0.425175i −0.0908420 0.0213658i
\(397\) −12.1603 14.6440i −0.610306 0.734964i 0.370740 0.928737i \(-0.379104\pi\)
−0.981046 + 0.193773i \(0.937928\pi\)
\(398\) 2.78801 4.06999i 0.139750 0.204010i
\(399\) 0.272661i 0.0136501i
\(400\) −43.0398 21.4313i −2.15199 1.07156i
\(401\) 3.09855 13.1742i 0.154734 0.657889i −0.838808 0.544427i \(-0.816747\pi\)
0.993542 0.113462i \(-0.0361939\pi\)
\(402\) −9.36295 + 6.41377i −0.466982 + 0.319890i
\(403\) 0.202041 + 0.294944i 0.0100644 + 0.0146922i
\(404\) −0.725227 + 2.54891i −0.0360814 + 0.126813i
\(405\) −104.525 + 14.5806i −5.19387 + 0.724514i
\(406\) 0.227500 + 0.113282i 0.0112907 + 0.00562208i
\(407\) −2.34521 + 0.438395i −0.116248 + 0.0217305i
\(408\) 29.5160 + 17.9995i 1.46126 + 0.891110i
\(409\) 9.47095 + 1.77043i 0.468308 + 0.0875420i 0.412614 0.910906i \(-0.364616\pi\)
0.0556940 + 0.998448i \(0.482263\pi\)
\(410\) −3.34478 2.52586i −0.165187 0.124743i
\(411\) −19.9865 + 35.8826i −0.985861 + 1.76996i
\(412\) 1.54171 + 0.597263i 0.0759548 + 0.0294250i
\(413\) −0.135636 0.0598891i −0.00667421 0.00294695i
\(414\) −25.2677 14.0740i −1.24184 0.691699i
\(415\) 2.61858 + 1.45854i 0.128541 + 0.0715968i
\(416\) 0.197778 0.0562728i 0.00969688 0.00275900i
\(417\) −20.4570 + 22.4403i −1.00179 + 1.09891i
\(418\) 4.94899 + 1.65874i 0.242063 + 0.0811314i
\(419\) −7.36010 + 1.73108i −0.359564 + 0.0845687i −0.404794 0.914408i \(-0.632657\pi\)
0.0452299 + 0.998977i \(0.485598\pi\)
\(420\) −0.0538076 0.0538076i −0.00262554 0.00262554i
\(421\) 2.60730 2.37686i 0.127072 0.115841i −0.607665 0.794193i \(-0.707894\pi\)
0.734737 + 0.678352i \(0.237306\pi\)
\(422\) 17.3780 + 11.9042i 0.845949 + 0.579488i
\(423\) 94.4796i 4.59375i
\(424\) −9.78212 + 19.6452i −0.475062 + 0.954053i
\(425\) 28.2185 + 33.5168i 1.36880 + 1.62580i
\(426\) −0.581155 1.16712i −0.0281570 0.0565470i
\(427\) −0.217568 + 0.108336i −0.0105288 + 0.00524274i
\(428\) 0.947491 + 4.02848i 0.0457987 + 0.194724i
\(429\) −0.295884 + 0.0553103i −0.0142854 + 0.00267040i
\(430\) 46.4150 + 31.7950i 2.23833 + 1.53329i
\(431\) −13.7924 1.92396i −0.664358 0.0926740i −0.202025 0.979380i \(-0.564752\pi\)
−0.462333 + 0.886706i \(0.652988\pi\)
\(432\) −27.8074 + 62.9778i −1.33789 + 3.03002i
\(433\) 14.5024 + 23.4222i 0.696942 + 1.12560i 0.985751 + 0.168213i \(0.0537997\pi\)
−0.288809 + 0.957387i \(0.593259\pi\)
\(434\) −0.0460011 0.0742943i −0.00220812 0.00356624i
\(435\) 45.9054 103.966i 2.20099 4.98478i
\(436\) 4.76816 + 0.665130i 0.228353 + 0.0318539i
\(437\) 9.01304 + 6.17407i 0.431152 + 0.295346i
\(438\) 11.3014 2.11259i 0.540001 0.100944i
\(439\) 8.40390 + 35.7312i 0.401096 + 1.70536i 0.670145 + 0.742231i \(0.266232\pi\)
−0.269048 + 0.963127i \(0.586709\pi\)
\(440\) 7.09501 3.53290i 0.338241 0.168424i
\(441\) −23.8998 47.9972i −1.13809 2.28558i
\(442\) −0.733636 0.0972663i −0.0348955 0.00462649i
\(443\) 8.10280 16.2726i 0.384976 0.773135i −0.614905 0.788601i \(-0.710806\pi\)
0.999880 + 0.0154661i \(0.00492320\pi\)
\(444\) 3.09804i 0.147026i
\(445\) 18.4036 + 12.6067i 0.872413 + 0.597617i
\(446\) −21.7929 + 19.8669i −1.03192 + 0.940723i
\(447\) −39.8488 39.8488i −1.88479 1.88479i
\(448\) 0.118334 0.0278320i 0.00559077 0.00131494i
\(449\) −23.3682 7.83224i −1.10282 0.369626i −0.292882 0.956149i \(-0.594614\pi\)
−0.809933 + 0.586522i \(0.800497\pi\)
\(450\) −83.3573 + 91.4386i −3.92950 + 4.31046i
\(451\) 0.523817 0.149039i 0.0246656 0.00701796i
\(452\) −0.121575 0.0677171i −0.00571843 0.00318514i
\(453\) −52.3325 29.1490i −2.45879 1.36954i
\(454\) 1.08103 + 0.477320i 0.0507351 + 0.0224017i
\(455\) −0.00826461 0.00320173i −0.000387451 0.000150099i
\(456\) 17.9447 32.2170i 0.840340 1.50870i
\(457\) 23.4235 + 17.6886i 1.09570 + 0.827438i 0.986036 0.166531i \(-0.0532565\pi\)
0.109668 + 0.993968i \(0.465021\pi\)
\(458\) 21.7171 + 4.05963i 1.01477 + 0.189694i
\(459\) 46.0736 42.5778i 2.15053 1.98736i
\(460\) −2.99707 + 0.560249i −0.139739 + 0.0261217i
\(461\) −4.82004 2.40009i −0.224492 0.111784i 0.329975 0.943990i \(-0.392960\pi\)
−0.554466 + 0.832206i \(0.687077\pi\)
\(462\) 0.0728674 0.0101646i 0.00339010 0.000472899i
\(463\) 2.78128 9.77519i 0.129257 0.454292i −0.869991 0.493068i \(-0.835875\pi\)
0.999248 + 0.0387763i \(0.0123460\pi\)
\(464\) −22.5159 32.8691i −1.04527 1.52591i
\(465\) −32.2378 + 22.0834i −1.49499 + 1.02409i
\(466\) 0.509286 2.16535i 0.0235922 0.100308i
\(467\) −33.6431 16.7523i −1.55682 0.775203i −0.558301 0.829639i \(-0.688546\pi\)
−0.998517 + 0.0544356i \(0.982664\pi\)
\(468\) 0.280867i 0.0129831i
\(469\) 0.0245385 0.0358218i 0.00113308 0.00165410i
\(470\) 47.3456 + 57.0162i 2.18389 + 2.62996i
\(471\) 15.3924 + 3.62027i 0.709246 + 0.166813i
\(472\) 12.0849 + 16.0030i 0.556254 + 0.736599i
\(473\) −6.93130 + 2.32314i −0.318702 + 0.106818i
\(474\) 2.51570 13.4578i 0.115550 0.618139i
\(475\) 34.5388 31.4862i 1.58475 1.44469i
\(476\) 0.0239251 + 0.00430453i 0.00109660 + 0.000197298i
\(477\) 48.3762 + 44.1007i 2.21499 + 2.01923i
\(478\) −16.7689 + 12.6633i −0.766990 + 0.579204i
\(479\) 20.8587 25.1192i 0.953060 1.14773i −0.0358716 0.999356i \(-0.511421\pi\)
0.988932 0.148370i \(-0.0474028\pi\)
\(480\) 6.15070 + 21.6175i 0.280740 + 0.986697i
\(481\) −0.145751 0.330094i −0.00664566 0.0150510i
\(482\) 16.5843 24.2101i 0.755395 1.10274i
\(483\) 0.152517 + 0.0212752i 0.00693975 + 0.000968053i
\(484\) −0.592838 + 3.17140i −0.0269472 + 0.144155i
\(485\) 56.4496 + 16.0613i 2.56325 + 0.729307i
\(486\) 48.5559 + 40.3203i 2.20254 + 1.82897i
\(487\) 1.12472 + 3.35570i 0.0509658 + 0.152061i 0.970590 0.240737i \(-0.0773893\pi\)
−0.919624 + 0.392799i \(0.871507\pi\)
\(488\) 32.8373 + 1.51816i 1.48647 + 0.0687238i
\(489\) −3.50834 37.8611i −0.158653 1.71214i
\(490\) −38.4754 16.9885i −1.73814 0.767464i
\(491\) −1.04025 + 0.295978i −0.0469460 + 0.0133573i −0.297055 0.954861i \(-0.596004\pi\)
0.250108 + 0.968218i \(0.419534\pi\)
\(492\) 0.0652503 + 0.704163i 0.00294171 + 0.0317461i
\(493\) 6.91330 + 35.6418i 0.311359 + 1.60523i
\(494\) −0.0728387 + 0.786055i −0.00327717 + 0.0353663i
\(495\) −4.34416 23.2392i −0.195256 1.04452i
\(496\) 0.632656 + 13.6841i 0.0284071 + 0.614436i
\(497\) 0.00368635 + 0.00336055i 0.000165355 + 0.000150741i
\(498\) −0.861568 3.66316i −0.0386078 0.164150i
\(499\) −5.45689 + 23.2013i −0.244284 + 1.03863i 0.701200 + 0.712964i \(0.252648\pi\)
−0.945484 + 0.325668i \(0.894411\pi\)
\(500\) −0.318952 + 6.89883i −0.0142640 + 0.308525i
\(501\) 19.6399 1.81991i 0.877447 0.0813074i
\(502\) −11.8343 + 19.1130i −0.528188 + 0.853054i
\(503\) 0.684566 0.684566i 0.0305233 0.0305233i −0.691680 0.722204i \(-0.743129\pi\)
0.722204 + 0.691680i \(0.243129\pi\)
\(504\) 0.0172506 0.373126i 0.000768405 0.0166203i
\(505\) −33.4139 + 4.66104i −1.48690 + 0.207413i
\(506\) 1.31400 2.63886i 0.0584143 0.117312i
\(507\) 17.1260 + 38.7867i 0.760592 + 1.72258i
\(508\) −1.72378 1.89089i −0.0764802 0.0838948i
\(509\) 8.45187 + 5.23318i 0.374623 + 0.231957i 0.700809 0.713349i \(-0.252823\pi\)
−0.326186 + 0.945306i \(0.605764\pi\)
\(510\) 10.6314 80.1875i 0.470764 3.55076i
\(511\) −0.0373985 + 0.0231562i −0.00165441 + 0.00102437i
\(512\) −14.7737 4.20347i −0.652910 0.185769i
\(513\) −47.3193 47.3193i −2.08920 2.08920i
\(514\) −30.8423 5.76543i −1.36040 0.254302i
\(515\) 0.972094 + 21.0261i 0.0428356 + 0.926519i
\(516\) −1.31145 9.40145i −0.0577332 0.413876i
\(517\) −9.61939 + 0.444731i −0.423060 + 0.0195592i
\(518\) 0.0318604 + 0.0822411i 0.00139986 + 0.00361347i
\(519\) −2.85519 3.13199i −0.125329 0.137479i
\(520\) 0.765812 + 0.922232i 0.0335831 + 0.0404426i
\(521\) 12.9367 29.2989i 0.566768 1.28361i −0.368488 0.929633i \(-0.620124\pi\)
0.935255 0.353974i \(-0.115170\pi\)
\(522\) −97.2141 + 32.5829i −4.25495 + 1.42611i
\(523\) −34.5341 + 21.3826i −1.51007 + 0.934996i −0.513009 + 0.858383i \(0.671469\pi\)
−0.997061 + 0.0766128i \(0.975589\pi\)
\(524\) −0.148957 + 0.444427i −0.00650721 + 0.0194149i
\(525\) 0.237979 0.614294i 0.0103862 0.0268100i
\(526\) 21.1813 8.20568i 0.923548 0.357785i
\(527\) 4.43033 11.6706i 0.192988 0.508377i
\(528\) −10.7550 4.16651i −0.468051 0.181324i
\(529\) −11.3382 + 12.4374i −0.492964 + 0.540756i
\(530\) 51.2937 + 2.37145i 2.22805 + 0.103009i
\(531\) 55.7770 21.6081i 2.42051 0.937712i
\(532\) 0.00358251 0.0256822i 0.000155321 0.00111346i
\(533\) 0.0400805 + 0.0719584i 0.00173608 + 0.00311686i
\(534\) −3.86925 27.7377i −0.167439 1.20033i
\(535\) −42.0436 + 31.7498i −1.81770 + 1.37266i
\(536\) −5.25697 + 2.61766i −0.227067 + 0.113066i
\(537\) −32.0468 + 21.9526i −1.38292 + 0.947324i
\(538\) 12.2788 12.2788i 0.529375 0.529375i
\(539\) 4.77431 2.65928i 0.205644 0.114543i
\(540\) 18.6763 0.803698
\(541\) 8.78381 4.89255i 0.377646 0.210347i −0.286280 0.958146i \(-0.592419\pi\)
0.663925 + 0.747799i \(0.268889\pi\)
\(542\) −28.6193 + 2.65197i −1.22931 + 0.113912i
\(543\) 1.16451 4.09284i 0.0499741 0.175641i
\(544\) −5.55478 4.54928i −0.238159 0.195049i
\(545\) 16.7728 + 58.9503i 0.718468 + 2.52515i
\(546\) 0.00401967 + 0.0103760i 0.000172026 + 0.000444050i
\(547\) 1.33564 1.10910i 0.0571079 0.0474218i −0.609853 0.792515i \(-0.708771\pi\)
0.666961 + 0.745093i \(0.267595\pi\)
\(548\) 2.35401 3.11722i 0.100558 0.133161i
\(549\) 31.1603 92.9697i 1.32989 3.96785i
\(550\) −9.70215 8.05656i −0.413701 0.343533i
\(551\) 37.6993 8.86679i 1.60604 0.377738i
\(552\) −16.6208 12.5515i −0.707430 0.534226i
\(553\) 0.00962486 + 0.0514884i 0.000409291 + 0.00218951i
\(554\) 7.15835 + 12.8517i 0.304129 + 0.546016i
\(555\) 36.0798 15.9308i 1.53150 0.676224i
\(556\) 2.22171 1.84489i 0.0942216 0.0782406i
\(557\) −7.11910 4.40796i −0.301646 0.186771i 0.367260 0.930118i \(-0.380296\pi\)
−0.668906 + 0.743347i \(0.733237\pi\)
\(558\) 34.3164 + 8.07114i 1.45273 + 0.341678i
\(559\) −0.582036 0.940020i −0.0246175 0.0397586i
\(560\) −0.204661 0.271015i −0.00864851 0.0114525i
\(561\) 7.48222 + 7.38134i 0.315900 + 0.311640i
\(562\) −11.6372 + 15.4101i −0.490885 + 0.650036i
\(563\) 19.7607 + 1.83109i 0.832812 + 0.0771714i 0.500219 0.865899i \(-0.333253\pi\)
0.332593 + 0.943070i \(0.392076\pi\)
\(564\) 1.72754 12.3843i 0.0727426 0.521475i
\(565\) 0.163466 1.76408i 0.00687709 0.0742156i
\(566\) 5.46669 9.81460i 0.229782 0.412538i
\(567\) −0.480647 0.161097i −0.0201853 0.00676543i
\(568\) −0.214401 0.639686i −0.00899608 0.0268406i
\(569\) −11.7892 + 30.4314i −0.494228 + 1.27575i 0.433047 + 0.901371i \(0.357438\pi\)
−0.927276 + 0.374379i \(0.877856\pi\)
\(570\) −85.9170 7.96138i −3.59867 0.333465i
\(571\) 22.2651 9.83102i 0.931767 0.411415i 0.118268 0.992982i \(-0.462266\pi\)
0.813499 + 0.581566i \(0.197560\pi\)
\(572\) 0.0285963 0.00132209i 0.00119567 5.52792e-5i
\(573\) 9.66730 11.6419i 0.403857 0.486347i
\(574\) −0.00897380 0.0180218i −0.000374559 0.000752216i
\(575\) −14.9173 21.7765i −0.622094 0.908145i
\(576\) −25.8174 + 41.6965i −1.07572 + 1.73735i
\(577\) −4.63794 −0.193080 −0.0965399 0.995329i \(-0.530778\pi\)
−0.0965399 + 0.995329i \(0.530778\pi\)
\(578\) 11.8311 + 22.9731i 0.492108 + 0.955555i
\(579\) −13.9565 −0.580014
\(580\) −5.68988 + 9.18948i −0.236260 + 0.381572i
\(581\) 0.00813647 + 0.0118778i 0.000337558 + 0.000492773i
\(582\) −32.8436 65.9589i −1.36141 2.73408i
\(583\) −4.26238 + 5.13298i −0.176530 + 0.212587i
\(584\) 5.94291 0.274758i 0.245920 0.0113695i
\(585\) 3.27098 1.44428i 0.135238 0.0597135i
\(586\) −18.7669 1.73901i −0.775253 0.0718378i
\(587\) 12.6464 32.6442i 0.521974 1.34737i −0.383725 0.923447i \(-0.625359\pi\)
0.905699 0.423922i \(-0.139347\pi\)
\(588\) 2.25515 + 6.72846i 0.0930009 + 0.277477i
\(589\) −12.6256 4.23168i −0.520229 0.174363i
\(590\) 22.8318 40.9910i 0.939971 1.68757i
\(591\) 2.42787 26.2009i 0.0998693 1.07776i
\(592\) 1.91020 13.6938i 0.0785089 0.562812i
\(593\) −2.66237 0.246705i −0.109331 0.0101310i 0.0374639 0.999298i \(-0.488072\pi\)
−0.146795 + 0.989167i \(0.546896\pi\)
\(594\) −10.8819 + 14.4099i −0.446488 + 0.591246i
\(595\) 0.0728974 + 0.300767i 0.00298850 + 0.0123302i
\(596\) 3.22982 + 4.27698i 0.132299 + 0.175192i
\(597\) −5.57842 9.00946i −0.228310 0.368733i
\(598\) 0.434007 + 0.102078i 0.0177479 + 0.00417426i
\(599\) −5.50263 3.40709i −0.224832 0.139210i 0.409395 0.912357i \(-0.365740\pi\)
−0.634226 + 0.773148i \(0.718681\pi\)
\(600\) −68.5479 + 56.9214i −2.79845 + 2.32381i
\(601\) 34.6599 15.3039i 1.41381 0.624257i 0.450529 0.892762i \(-0.351235\pi\)
0.963278 + 0.268504i \(0.0865293\pi\)
\(602\) 0.131499 + 0.236086i 0.00535950 + 0.00962214i
\(603\) 3.21876 + 17.2188i 0.131078 + 0.701206i
\(604\) 4.54625 + 3.43317i 0.184984 + 0.139694i
\(605\) −39.9827 + 9.40384i −1.62553 + 0.382320i
\(606\) 32.5861 + 27.0592i 1.32372 + 1.09920i
\(607\) 2.95607 8.81970i 0.119983 0.357981i −0.871121 0.491068i \(-0.836607\pi\)
0.991104 + 0.133087i \(0.0424891\pi\)
\(608\) −4.61551 + 6.11193i −0.187184 + 0.247871i
\(609\) 0.419975 0.348742i 0.0170182 0.0141318i
\(610\) −27.7845 71.7201i −1.12496 2.90386i
\(611\) −0.398567 1.40082i −0.0161243 0.0566710i
\(612\) −8.05300 + 5.59711i −0.325523 + 0.226250i
\(613\) 12.1548 42.7197i 0.490928 1.72543i −0.179774 0.983708i \(-0.557537\pi\)
0.670703 0.741726i \(-0.265993\pi\)
\(614\) −31.3585 + 2.90580i −1.26553 + 0.117268i
\(615\) −7.86516 + 4.38086i −0.317154 + 0.176653i
\(616\) 0.0380708 0.00153392
\(617\) −38.8939 + 21.6638i −1.56581 + 0.872151i −0.566984 + 0.823729i \(0.691890\pi\)
−0.998827 + 0.0484219i \(0.984581\pi\)
\(618\) 18.6859 18.6859i 0.751655 0.751655i
\(619\) −10.4499 + 7.15832i −0.420015 + 0.287717i −0.756527 0.653962i \(-0.773106\pi\)
0.336512 + 0.941679i \(0.390753\pi\)
\(620\) 3.32666 1.65648i 0.133602 0.0665259i
\(621\) −30.1610 + 22.7765i −1.21032 + 0.913989i
\(622\) −5.83478 41.8282i −0.233953 1.67716i
\(623\) 0.0521395 + 0.0936083i 0.00208892 + 0.00375034i
\(624\) 0.241001 1.72768i 0.00964777 0.0691626i
\(625\) −32.4397 + 12.5672i −1.29759 + 0.502688i
\(626\) 5.10152 + 0.235857i 0.203898 + 0.00942676i
\(627\) 7.55313 8.28539i 0.301643 0.330887i
\(628\) −1.40226 0.543239i −0.0559563 0.0216776i
\(629\) −6.55992 + 10.7571i −0.261561 + 0.428912i
\(630\) −0.814946 + 0.315712i −0.0324682 + 0.0125783i
\(631\) 7.13845 18.4265i 0.284177 0.733546i −0.715222 0.698897i \(-0.753675\pi\)
0.999400 0.0346491i \(-0.0110314\pi\)
\(632\) 2.25138 6.71721i 0.0895551 0.267196i
\(633\) 38.4685 23.8187i 1.52899 0.946709i
\(634\) −28.7619 + 9.64001i −1.14228 + 0.382854i
\(635\) 13.1573 29.7985i 0.522133 1.18252i
\(636\) −5.53475 6.66525i −0.219467 0.264294i
\(637\) 0.556833 + 0.610817i 0.0220625 + 0.0242015i
\(638\) −3.77501 9.74443i −0.149454 0.385786i
\(639\) −2.01025 + 0.0929396i −0.0795243 + 0.00367663i
\(640\) 7.21686 + 51.7360i 0.285271 + 2.04504i
\(641\) −1.43224 30.9789i −0.0565701 1.22359i −0.817951 0.575288i \(-0.804890\pi\)
0.761381 0.648305i \(-0.224522\pi\)
\(642\) 65.0182 + 12.1540i 2.56606 + 0.479680i
\(643\) 25.8585 + 25.8585i 1.01976 + 1.01976i 0.999801 + 0.0199598i \(0.00635382\pi\)
0.0199598 + 0.999801i \(0.493646\pi\)
\(644\) −0.0140861 0.00400785i −0.000555072 0.000157932i
\(645\) 102.746 63.6174i 4.04560 2.50493i
\(646\) 23.9893 13.5761i 0.943845 0.534144i
\(647\) −15.8809 9.83304i −0.624343 0.386577i 0.177492 0.984122i \(-0.443202\pi\)
−0.801835 + 0.597545i \(0.796143\pi\)
\(648\) 46.1899 + 50.6679i 1.81451 + 1.99042i
\(649\) 2.46257 + 5.57719i 0.0966643 + 0.218924i
\(650\) 0.850173 1.70738i 0.0333465 0.0669689i
\(651\) −0.185895 + 0.0259313i −0.00728582 + 0.00101633i
\(652\) −0.167005 + 3.61227i −0.00654042 + 0.141467i
\(653\) −24.2595 + 24.2595i −0.949349 + 0.949349i −0.998778 0.0494289i \(-0.984260\pi\)
0.0494289 + 0.998778i \(0.484260\pi\)
\(654\) 40.5077 65.4222i 1.58398 2.55821i
\(655\) −5.94177 + 0.550586i −0.232164 + 0.0215132i
\(656\) −0.145760 + 3.15274i −0.00569098 + 0.123094i
\(657\) 4.06288 17.2743i 0.158508 0.673935i
\(658\) 0.0815016 + 0.346523i 0.00317726 + 0.0135089i
\(659\) 17.6354 + 16.0768i 0.686977 + 0.626262i 0.939991 0.341201i \(-0.110834\pi\)
−0.253014 + 0.967463i \(0.581422\pi\)
\(660\) 0.144506 + 3.12562i 0.00562489 + 0.121664i
\(661\) −4.28759 22.9366i −0.166768 0.892130i −0.959319 0.282324i \(-0.908895\pi\)
0.792551 0.609806i \(-0.208753\pi\)
\(662\) −0.911817 + 9.84007i −0.0354388 + 0.382445i
\(663\) −0.827633 + 1.35717i −0.0321426 + 0.0527080i
\(664\) −0.179669 1.93894i −0.00697252 0.0752455i
\(665\) 0.317517 0.0903413i 0.0123128 0.00350329i
\(666\) −32.5495 14.3720i −1.26127 0.556904i
\(667\) −2.01817 21.7795i −0.0781437 0.843305i
\(668\) −1.87381 0.0866317i −0.0725001 0.00335188i
\(669\) 20.1296 + 60.0586i 0.778256 + 2.32200i
\(670\) 10.5712 + 8.77818i 0.408400 + 0.339131i
\(671\) 9.61233 + 2.73494i 0.371080 + 0.105581i
\(672\) −0.0198370 + 0.106118i −0.000765228 + 0.00409361i
\(673\) −23.9745 3.34430i −0.924149 0.128913i −0.339876 0.940470i \(-0.610385\pi\)
−0.584273 + 0.811557i \(0.698620\pi\)
\(674\) −22.0139 + 32.1363i −0.847942 + 1.23784i
\(675\) 65.3082 + 147.909i 2.51371 + 5.69302i
\(676\) −1.10349 3.87837i −0.0424420 0.149168i
\(677\) 16.7446 20.1647i 0.643547 0.774994i −0.342847 0.939391i \(-0.611391\pi\)
0.986394 + 0.164397i \(0.0525678\pi\)
\(678\) −1.77498 + 1.34041i −0.0681678 + 0.0514779i
\(679\) 0.208332 + 0.189920i 0.00799504 + 0.00728844i
\(680\) 11.1811 40.3356i 0.428775 1.54680i
\(681\) 1.87582 1.71004i 0.0718816 0.0655287i
\(682\) −0.660225 + 3.53189i −0.0252813 + 0.135243i
\(683\) −10.9334 + 3.66450i −0.418354 + 0.140218i −0.519139 0.854690i \(-0.673747\pi\)
0.100784 + 0.994908i \(0.467865\pi\)
\(684\) 6.30432 + 8.34827i 0.241052 + 0.319204i
\(685\) 48.4080 + 11.3855i 1.84957 + 0.435016i
\(686\) −0.258130 0.310854i −0.00985545 0.0118685i
\(687\) 26.8190 39.1509i 1.02321 1.49370i
\(688\) 42.3645i 1.61513i
\(689\) −0.903299 0.449790i −0.0344130 0.0171356i
\(690\) −11.1572 + 47.4377i −0.424749 + 1.80592i
\(691\) 25.7390 17.6316i 0.979157 0.670738i 0.0347085 0.999397i \(-0.488950\pi\)
0.944449 + 0.328659i \(0.106597\pi\)
\(692\) 0.227781 + 0.332520i 0.00865894 + 0.0126405i
\(693\) 0.0310768 0.109224i 0.00118051 0.00414907i
\(694\) −19.0070 + 2.65136i −0.721496 + 0.100644i
\(695\) 32.9101 + 16.3873i 1.24835 + 0.621605i
\(696\) −72.5752 + 13.5667i −2.75096 + 0.514243i
\(697\) 1.26446 2.58317i 0.0478949 0.0978447i
\(698\) −14.0100 2.61892i −0.530285 0.0991274i
\(699\) −3.81295 2.87940i −0.144219 0.108909i
\(700\) −0.0304867 + 0.0547341i −0.00115229 + 0.00206875i
\(701\) −28.9697 11.2229i −1.09417 0.423884i −0.254551 0.967059i \(-0.581928\pi\)
−0.839619 + 0.543176i \(0.817222\pi\)
\(702\) −2.49831 1.10311i −0.0942928 0.0416343i
\(703\) 11.7414 + 6.53994i 0.442837 + 0.246659i
\(704\) −4.36683 2.43231i −0.164581 0.0916711i
\(705\) 153.112 43.5640i 5.76651 1.64071i
\(706\) 25.6777 28.1671i 0.966395 1.06008i
\(707\) −0.153651 0.0514985i −0.00577863 0.00193680i
\(708\) −7.70632 + 1.81251i −0.289621 + 0.0681183i
\(709\) −3.13336 3.13336i −0.117676 0.117676i 0.645817 0.763492i \(-0.276517\pi\)
−0.763492 + 0.645817i \(0.776517\pi\)
\(710\) −1.16657 + 1.06347i −0.0437804 + 0.0399111i
\(711\) −17.4337 11.9423i −0.653813 0.447872i
\(712\) 14.4920i 0.543112i
\(713\) −3.35220 + 6.73212i −0.125541 + 0.252120i
\(714\) 0.217395 0.322024i 0.00813581 0.0120515i
\(715\) 0.162445 + 0.326234i 0.00607511 + 0.0122005i
\(716\) 3.30696 1.64667i 0.123587 0.0615389i
\(717\) 10.3338 + 43.9367i 0.385924 + 1.64085i
\(718\) −16.7517 + 3.13143i −0.625168 + 0.116864i
\(719\) −1.80566 1.23691i −0.0673398 0.0461288i 0.530996 0.847375i \(-0.321818\pi\)
−0.598335 + 0.801246i \(0.704171\pi\)
\(720\) 135.695 + 18.9287i 5.05706 + 0.705429i
\(721\) −0.0408375 + 0.0924881i −0.00152087 + 0.00344444i
\(722\) −0.275014 0.444163i −0.0102350 0.0165301i
\(723\) −33.1829 53.5923i −1.23409 1.99312i
\(724\) −0.163463 + 0.370208i −0.00607505 + 0.0137587i
\(725\) −92.6740 12.9275i −3.44183 0.480114i
\(726\) 42.5424 + 29.1422i 1.57890 + 1.08157i
\(727\) −28.6348 + 5.35277i −1.06200 + 0.198523i −0.685634 0.727946i \(-0.740475\pi\)
−0.376371 + 0.926469i \(0.622828\pi\)
\(728\) 0.00131828 + 0.00560499i 4.88587e−5 + 0.000207735i
\(729\) 49.6585 24.7270i 1.83920 0.915815i
\(730\) −6.20465 12.4606i −0.229645 0.461188i
\(731\) −15.3534 + 35.4208i −0.567866 + 1.31009i
\(732\) −5.78441 + 11.6167i −0.213798 + 0.429364i
\(733\) 18.6977i 0.690616i −0.938489 0.345308i \(-0.887774\pi\)
0.938489 0.345308i \(-0.112226\pi\)
\(734\) 32.8863 + 22.5276i 1.21385 + 0.831510i
\(735\) −66.7632 + 60.8627i −2.46260 + 2.24496i
\(736\) 3.05865 + 3.05865i 0.112743 + 0.112743i
\(737\) −1.73798 + 0.408768i −0.0640192 + 0.0150572i
\(738\) 7.70098 + 2.58111i 0.283477 + 0.0950119i
\(739\) 1.48744 1.63164i 0.0547163 0.0600209i −0.711041 0.703150i \(-0.751776\pi\)
0.765757 + 0.643129i \(0.222364\pi\)
\(740\) −3.60770 + 1.02648i −0.132622 + 0.0377341i
\(741\) 1.48136 + 0.825113i 0.0544192 + 0.0303113i
\(742\) 0.215473 + 0.120017i 0.00791025 + 0.00440598i
\(743\) 12.3050 + 5.43318i 0.451426 + 0.199324i 0.617146 0.786849i \(-0.288289\pi\)
−0.165720 + 0.986173i \(0.552995\pi\)
\(744\) 23.6716 + 9.17044i 0.867844 + 0.336204i
\(745\) −33.2013 + 59.6077i −1.21640 + 2.18386i
\(746\) 41.2383 + 31.1417i 1.50984 + 1.14018i
\(747\) −5.70942 1.06728i −0.208897 0.0390496i
\(748\) −0.607774 0.793565i −0.0222224 0.0290156i
\(749\) −0.248754 + 0.0465001i −0.00908927 + 0.00169908i
\(750\) 98.8101 + 49.2016i 3.60803 + 1.79659i
\(751\) −43.3029 + 6.04050i −1.58015 + 0.220421i −0.873385 0.487031i \(-0.838080\pi\)
−0.706762 + 0.707452i \(0.749845\pi\)
\(752\) 15.2720 53.6755i 0.556913 1.95735i
\(753\) 27.2885 + 39.8363i 0.994448 + 1.45172i
\(754\) 1.30391 0.893199i 0.0474856 0.0325284i
\(755\) −16.6049 + 70.5998i −0.604315 + 2.56939i
\(756\) 0.0803032 + 0.0399862i 0.00292060 + 0.00145429i
\(757\) 21.1190i 0.767582i 0.923420 + 0.383791i \(0.125382\pi\)
−0.923420 + 0.383791i \(0.874618\pi\)
\(758\) −24.5036 + 35.7709i −0.890012 + 1.29926i
\(759\) −4.04519 4.87144i −0.146831 0.176822i
\(760\) −43.4628 10.2223i −1.57656 0.370804i
\(761\) −3.48679 4.61726i −0.126396 0.167376i 0.730419 0.682999i \(-0.239325\pi\)
−0.856815 + 0.515624i \(0.827560\pi\)
\(762\) −38.7757 + 12.9963i −1.40469 + 0.470806i
\(763\) −0.0540949 + 0.289382i −0.00195837 + 0.0104763i
\(764\) −1.06354 + 0.969541i −0.0384774 + 0.0350768i
\(765\) −106.594 65.0037i −3.85392 2.35021i
\(766\) −27.8507 25.3893i −1.00629 0.917352i
\(767\) −0.735832 + 0.555675i −0.0265694 + 0.0200643i
\(768\) 15.1888 18.2912i 0.548080 0.660027i
\(769\) −0.881059 3.09660i −0.0317718 0.111666i 0.944318 0.329035i \(-0.106723\pi\)
−0.976090 + 0.217368i \(0.930253\pi\)
\(770\) −0.0359801 0.0814872i −0.00129663 0.00293660i
\(771\) −38.0879 + 55.6015i −1.37170 + 2.00244i
\(772\) 1.31458 + 0.183376i 0.0473127 + 0.00659984i
\(773\) −0.318771 + 1.70527i −0.0114654 + 0.0613345i −0.988227 0.152993i \(-0.951109\pi\)
0.976762 + 0.214327i \(0.0687559\pi\)
\(774\) −104.860 29.8353i −3.76912 1.07241i
\(775\) 24.7516 + 20.5534i 0.889103 + 0.738302i
\(776\) −12.1168 36.1515i −0.434966 1.29776i
\(777\) 0.189242 + 0.00874919i 0.00678902 + 0.000313875i
\(778\) −1.32660 14.3163i −0.0475608 0.513263i
\(779\) −2.80650 1.23919i −0.100553 0.0443986i
\(780\) −0.455166 + 0.129506i −0.0162976 + 0.00463706i
\(781\) −0.0189252 0.204235i −0.000677196 0.00730811i
\(782\) −5.72214 14.4780i −0.204623 0.517734i
\(783\) −12.3621 + 133.408i −0.441785 + 4.76762i
\(784\) 5.81946 + 31.1313i 0.207838 + 1.11183i
\(785\) −0.884165 19.1242i −0.0315572 0.682572i
\(786\) 5.53641 + 5.04710i 0.197477 + 0.180024i
\(787\) 2.08164 + 8.85060i 0.0742026 + 0.315490i 0.997673 0.0681795i \(-0.0217190\pi\)
−0.923471 + 0.383669i \(0.874660\pi\)
\(788\) −0.572939 + 2.43599i −0.0204101 + 0.0867785i
\(789\) 2.25336 48.7395i 0.0802219 1.73517i
\(790\) −16.5053 + 1.52945i −0.587234 + 0.0544152i
\(791\) 0.00447981 0.00723514i 0.000159284 0.000257252i
\(792\) −10.8604 + 10.8604i −0.385906 + 0.385906i
\(793\) −0.0698061 + 1.50988i −0.00247889 + 0.0536175i
\(794\) 28.6560 3.99734i 1.01696 0.141860i
\(795\) 49.1627 98.7320i 1.74362 3.50166i
\(796\) 0.407061 + 0.921904i 0.0144279 + 0.0326760i
\(797\) −3.58700 3.93475i −0.127058 0.139376i 0.672187 0.740382i \(-0.265355\pi\)
−0.799245 + 0.601006i \(0.794767\pi\)
\(798\) −0.352376 0.218182i −0.0124740 0.00772356i
\(799\) −32.2215 + 39.3432i −1.13992 + 1.39186i
\(800\) 15.7331 9.74151i 0.556248 0.344414i
\(801\) −41.5771 11.8297i −1.46906 0.417982i
\(802\) 14.5464 + 14.5464i 0.513651 + 0.513651i
\(803\) 1.77790 + 0.332347i 0.0627406 + 0.0117283i
\(804\) −0.107070 2.31589i −0.00377607 0.0816752i
\(805\) −0.0257585 0.184657i −0.000907868 0.00650829i
\(806\) −0.542846 + 0.0250973i −0.0191209 + 0.000884014i
\(807\) −13.4740 34.7803i −0.474306 1.22433i
\(808\) 14.7657 + 16.1972i 0.519457 + 0.569817i
\(809\) 4.90463 + 5.90642i 0.172438 + 0.207659i 0.848514 0.529173i \(-0.177498\pi\)
−0.676077 + 0.736831i \(0.736321\pi\)
\(810\) 64.7969 146.751i 2.27673 5.15630i
\(811\) 9.53045 3.19428i 0.334659 0.112166i −0.145474 0.989362i \(-0.546471\pi\)
0.480133 + 0.877196i \(0.340588\pi\)
\(812\) −0.0441400 + 0.0273303i −0.00154901 + 0.000959106i
\(813\) −19.6194 + 58.5364i −0.688084 + 2.05296i
\(814\) 1.31006 3.38166i 0.0459176 0.118527i
\(815\) −42.9273 + 16.6301i −1.50368 + 0.582527i
\(816\) −54.3387 + 27.5193i −1.90223 + 0.963367i
\(817\) 38.3996 + 14.8761i 1.34343 + 0.520449i
\(818\) −9.86664 + 10.8232i −0.344979 + 0.378424i
\(819\) 0.0171566 0.000793198i 0.000599500 2.77166e-5i
\(820\) 0.798387 0.309297i 0.0278809 0.0108011i
\(821\) −1.64694 + 11.8065i −0.0574785 + 0.412050i 0.940006 + 0.341159i \(0.110819\pi\)
−0.997484 + 0.0708907i \(0.977416\pi\)
\(822\) −30.3802 54.5429i −1.05963 1.90240i
\(823\) −1.79229 12.8485i −0.0624755 0.447872i −0.996000 0.0893575i \(-0.971519\pi\)
0.933524 0.358515i \(-0.116717\pi\)
\(824\) 10.9122 8.24054i 0.380146 0.287073i
\(825\) −24.2484 + 12.0743i −0.844221 + 0.420372i
\(826\) 0.185934 0.127368i 0.00646946 0.00443168i
\(827\) 1.11410 1.11410i 0.0387410 0.0387410i −0.687471 0.726212i \(-0.741279\pi\)
0.726212 + 0.687471i \(0.241279\pi\)
\(828\) 5.16163 2.87501i 0.179379 0.0999135i
\(829\) 9.19352 0.319304 0.159652 0.987173i \(-0.448963\pi\)
0.159652 + 0.987173i \(0.448963\pi\)
\(830\) −3.98033 + 2.21703i −0.138159 + 0.0769543i
\(831\) 31.4636 2.91553i 1.09146 0.101139i
\(832\) 0.206887 0.727133i 0.00717252 0.0252088i
\(833\) 6.41674 28.1379i 0.222327 0.974919i
\(834\) −12.6313 44.3945i −0.437387 1.53726i
\(835\) −8.62665 22.2679i −0.298537 0.770614i
\(836\) −0.820299 + 0.681167i −0.0283706 + 0.0235587i
\(837\) 27.7612 36.7618i 0.959568 1.27067i
\(838\) 3.65234 10.8971i 0.126168 0.376434i
\(839\) 26.0158 + 21.6033i 0.898167 + 0.745828i 0.967794 0.251745i \(-0.0810044\pi\)
−0.0696268 + 0.997573i \(0.522181\pi\)
\(840\) −0.612633 + 0.144090i −0.0211379 + 0.00497158i
\(841\) −38.7336 29.2502i −1.33564 1.00863i
\(842\) 0.985419 + 5.27153i 0.0339598 + 0.181669i
\(843\) 20.1836 + 36.2364i 0.695159 + 1.24805i
\(844\) −3.93634 + 1.73807i −0.135495 + 0.0598267i
\(845\) 39.4932 32.7947i 1.35861 1.12817i
\(846\) −122.102 75.6022i −4.19794 2.59926i
\(847\) −0.192049 0.0451696i −0.00659889 0.00155205i
\(848\) −20.3548 32.8741i −0.698986 1.12890i
\(849\) −14.5422 19.2570i −0.499088 0.660899i
\(850\) −65.8961 + 9.64851i −2.26022 + 0.330941i
\(851\) 4.57437 6.05745i 0.156807 0.207647i
\(852\) 0.265202 + 0.0245746i 0.00908568 + 0.000841912i
\(853\) 7.28721 52.2403i 0.249509 1.78867i −0.300774 0.953695i \(-0.597245\pi\)
0.550283 0.834978i \(-0.314520\pi\)
\(854\) 0.0340878 0.367866i 0.00116646 0.0125881i
\(855\) −64.8058 + 116.349i −2.21631 + 3.97904i
\(856\) 32.4525 + 10.8770i 1.10921 + 0.371768i
\(857\) 6.76914 + 20.1964i 0.231229 + 0.689894i 0.998802 + 0.0489325i \(0.0155819\pi\)
−0.767573 + 0.640962i \(0.778536\pi\)
\(858\) 0.165284 0.426648i 0.00564271 0.0145655i
\(859\) −18.5609 1.71992i −0.633290 0.0586830i −0.229166 0.973387i \(-0.573600\pi\)
−0.404124 + 0.914704i \(0.632423\pi\)
\(860\) −10.5136 + 4.64220i −0.358510 + 0.158298i
\(861\) −0.0431977 + 0.00199715i −0.00147217 + 6.80627e-5i
\(862\) 13.5231 16.2853i 0.460599 0.554678i
\(863\) 8.23301 + 16.5341i 0.280255 + 0.562828i 0.989906 0.141725i \(-0.0452650\pi\)
−0.709651 + 0.704553i \(0.751147\pi\)
\(864\) −14.9738 21.8591i −0.509421 0.743662i
\(865\) −2.70123 + 4.36263i −0.0918444 + 0.148334i
\(866\) −41.8747 −1.42296
\(867\) 55.4057 3.31579i 1.88168 0.112610i
\(868\) 0.0178504 0.000605881
\(869\) 1.13384 1.83121i 0.0384628 0.0621196i
\(870\) 97.6280 + 142.519i 3.30990 + 4.83186i
\(871\) −0.120362 0.241720i −0.00407832 0.00819036i
\(872\) 25.4370 30.6326i 0.861405 1.03735i
\(873\) −113.608 + 5.25242i −3.84506 + 0.177768i
\(874\) −15.1913 + 6.70763i −0.513854 + 0.226889i
\(875\) −0.420511 0.0389661i −0.0142159 0.00131729i
\(876\) −0.848417 + 2.19002i −0.0286654 + 0.0739938i
\(877\) 8.10554 + 24.1836i 0.273705 + 0.816624i 0.992592 + 0.121497i \(0.0387694\pi\)
−0.718887 + 0.695127i \(0.755348\pi\)
\(878\) −52.9024 17.7311i −1.78537 0.598395i
\(879\) −19.6994 + 35.3672i −0.664444 + 1.19291i
\(880\) −1.28847 + 13.9048i −0.0434344 + 0.468731i
\(881\) 3.01569 21.6188i 0.101601 0.728355i −0.870225 0.492655i \(-0.836026\pi\)
0.971826 0.235700i \(-0.0757383\pi\)
\(882\) 81.1543 + 7.52005i 2.73261 + 0.253213i
\(883\) 33.7771 44.7281i 1.13669 1.50522i 0.302996 0.952992i \(-0.402013\pi\)
0.833693 0.552228i \(-0.186222\pi\)
\(884\) 0.0957875 0.116959i 0.00322168 0.00393374i
\(885\) −60.7361 80.4276i −2.04162 2.70354i
\(886\) 14.5463 + 23.4930i 0.488691 + 0.789264i
\(887\) 23.1881 + 5.45379i 0.778580 + 0.183120i 0.599135 0.800648i \(-0.295511\pi\)
0.179444 + 0.983768i \(0.442570\pi\)
\(888\) −21.7846 13.4885i −0.731044 0.452643i
\(889\) 0.120372 0.0999560i 0.00403716 0.00335242i
\(890\) −31.0189 + 13.6962i −1.03976 + 0.459098i
\(891\) 10.1429 + 18.2100i 0.339799 + 0.610057i
\(892\) −1.10691 5.92146i −0.0370622 0.198265i
\(893\) 43.2894 + 32.6906i 1.44862 + 1.09395i
\(894\) 83.3860 19.6122i 2.78884 0.655930i
\(895\) 36.1822 + 30.0453i 1.20944 + 1.00431i
\(896\) −0.0797371 + 0.237903i −0.00266383 + 0.00794779i
\(897\) 0.577127 0.764239i 0.0192697 0.0255172i
\(898\) 28.8212 23.9329i 0.961778 0.798650i
\(899\) 9.63061 + 24.8595i 0.321199 + 0.829109i
\(900\) −6.91700 24.3107i −0.230567 0.810358i
\(901\) 5.10461 + 34.8628i 0.170059 + 1.16145i
\(902\) −0.226544 + 0.796221i −0.00754310 + 0.0265112i
\(903\) 0.577987 0.0535584i 0.0192342 0.00178231i
\(904\) −1.00549 + 0.560056i −0.0334422 + 0.0186272i
\(905\) −5.15201 −0.171259
\(906\) 79.5472 44.3075i 2.64278 1.47202i
\(907\) 32.4275 32.4275i 1.07674 1.07674i 0.0799359 0.996800i \(-0.474528\pi\)
0.996800 0.0799359i \(-0.0254716\pi\)
\(908\) −0.199154 + 0.136423i −0.00660914 + 0.00452737i
\(909\) 58.5224 29.1407i 1.94107 0.966536i
\(910\) 0.0107511 0.00811885i 0.000356395 0.000269137i
\(911\) 3.21057 + 23.0158i 0.106371 + 0.762549i 0.967266 + 0.253766i \(0.0816692\pi\)
−0.860895 + 0.508783i \(0.830095\pi\)
\(912\) 31.6161 + 56.7618i 1.04691 + 1.87957i
\(913\) 0.0817889 0.586325i 0.00270682 0.0194045i
\(914\) −41.6034 + 16.1173i −1.37612 + 0.533111i
\(915\) −165.032 7.62991i −5.45580 0.252237i
\(916\) −3.04051 + 3.33528i −0.100461 + 0.110201i
\(917\) −0.0267269 0.0103541i −0.000882601 0.000341922i
\(918\) 18.1580 + 93.6144i 0.599303 + 3.08973i
\(919\) 26.6619 10.3289i 0.879494 0.340718i 0.121198 0.992628i \(-0.461326\pi\)
0.758296 + 0.651911i \(0.226032\pi\)
\(920\) −9.10933 + 23.5139i −0.300326 + 0.775230i
\(921\) −21.4972 + 64.1390i −0.708358 + 2.11345i
\(922\) 6.95876 4.30868i 0.229175 0.141899i
\(923\) 0.0294133 0.00985834i 0.000968150 0.000324491i
\(924\) −0.00607067 + 0.0137488i −0.000199710 + 0.000452301i
\(925\) −20.7450 24.9822i −0.682090 0.821410i
\(926\) 10.4075 + 11.4165i 0.342012 + 0.375169i
\(927\) −14.7343 38.0335i −0.483936 1.24918i
\(928\) 15.3175 0.708171i 0.502821 0.0232468i
\(929\) 1.11754 + 8.01135i 0.0366651 + 0.262844i 0.999985 0.00551277i \(-0.00175478\pi\)
−0.963320 + 0.268357i \(0.913519\pi\)
\(930\) −2.74317 59.3339i −0.0899521 1.94563i
\(931\) −30.2613 5.65681i −0.991772 0.185394i
\(932\) 0.321312 + 0.321312i 0.0105249 + 0.0105249i
\(933\) −87.2525 24.8255i −2.85652 0.812750i
\(934\) 48.5711 30.0739i 1.58929 0.984049i
\(935\) 6.11656 11.1588i 0.200033 0.364933i
\(936\) −1.97498 1.22286i −0.0645544 0.0399704i
\(937\) −12.0378 13.2048i −0.393258 0.431383i 0.510203 0.860054i \(-0.329570\pi\)
−0.903461 + 0.428671i \(0.858982\pi\)
\(938\) 0.0266591 + 0.0603771i 0.000870450 + 0.00197138i
\(939\) 4.88958 9.81959i 0.159565 0.320450i
\(940\) −14.9941 + 2.09159i −0.489054 + 0.0682201i
\(941\) 1.43079 30.9474i 0.0466423 1.00886i −0.838896 0.544291i \(-0.816799\pi\)
0.885539 0.464566i \(-0.153790\pi\)
\(942\) −16.9957 + 16.9957i −0.553748 + 0.553748i
\(943\) −0.912143 + 1.47316i −0.0297035 + 0.0479727i
\(944\) −35.1807 + 3.25997i −1.14503 + 0.106103i
\(945\) −0.0527438 + 1.14083i −0.00171575 + 0.0371112i
\(946\) 2.54407 10.8167i 0.0827148 0.351682i
\(947\) −3.45143 14.6746i −0.112157 0.476860i −0.999865 0.0164537i \(-0.994762\pi\)
0.887708 0.460407i \(-0.152296\pi\)
\(948\) 2.06683 + 1.88417i 0.0671276 + 0.0611949i
\(949\) 0.0126336 + 0.273260i 0.000410103 + 0.00887039i
\(950\) 13.0538 + 69.8317i 0.423521 + 2.26564i
\(951\) −6.01196 + 64.8794i −0.194951 + 2.10386i
\(952\) 0.134435 0.149494i 0.00435707 0.00484512i
\(953\) 2.28921 + 24.7045i 0.0741548 + 0.800258i 0.948880 + 0.315638i \(0.102218\pi\)
−0.874725 + 0.484620i \(0.838958\pi\)
\(954\) −95.7045 + 27.2303i −3.09855 + 0.881613i
\(955\) −16.7602 7.40036i −0.542348 0.239470i
\(956\) −0.396065 4.27422i −0.0128096 0.138238i
\(957\) −22.4226 1.03666i −0.724818 0.0335104i
\(958\) 15.7720 + 47.0573i 0.509571 + 1.52035i
\(959\) 0.183766 + 0.152597i 0.00593410 + 0.00492762i
\(960\) 79.4767 + 22.6131i 2.56510 + 0.729833i
\(961\) −4.01190 + 21.4618i −0.129416 + 0.692316i
\(962\) 0.543230 + 0.0757773i 0.0175144 + 0.00244316i
\(963\) 57.6964 84.2264i 1.85924 2.71416i
\(964\) 2.42138 + 5.48390i 0.0779873 + 0.176624i
\(965\) 4.62425 + 16.2526i 0.148860 + 0.523188i
\(966\) −0.149538 + 0.180082i −0.00481132 + 0.00579405i
\(967\) −2.99688 + 2.26314i −0.0963731 + 0.0727776i −0.649722 0.760172i \(-0.725115\pi\)
0.553348 + 0.832950i \(0.313350\pi\)
\(968\) 19.7194 + 17.9766i 0.633804 + 0.577789i
\(969\) −5.86298 58.9164i −0.188346 1.89267i
\(970\) −65.9278 + 60.1011i −2.11681 + 1.92973i
\(971\) −8.69237 + 46.5001i −0.278952 + 1.49226i 0.500467 + 0.865756i \(0.333162\pi\)
−0.779419 + 0.626503i \(0.784485\pi\)
\(972\) −12.2245 + 4.09724i −0.392101 + 0.131419i
\(973\) 0.106420 + 0.140922i 0.00341166 + 0.00451777i
\(974\) −5.23677 1.23168i −0.167797 0.0394655i
\(975\) −2.61729 3.15188i −0.0838204 0.100941i
\(976\) −32.7307 + 47.7809i −1.04768 + 1.52943i
\(977\) 50.1253i 1.60365i −0.597558 0.801826i \(-0.703862\pi\)
0.597558 0.801826i \(-0.296138\pi\)
\(978\) 51.7375 + 25.7622i 1.65438 + 0.823785i
\(979\) 1.00873 4.28884i 0.0322390 0.137072i
\(980\) 7.08817 4.85551i 0.226423 0.155104i
\(981\) −67.1199 97.9830i −2.14297 3.12835i
\(982\) 0.449897 1.58123i 0.0143568 0.0504589i
\(983\) 3.82696 0.533839i 0.122061 0.0170268i −0.0768632 0.997042i \(-0.524490\pi\)
0.198924 + 0.980015i \(0.436255\pi\)
\(984\) 5.23559 + 2.60701i 0.166904 + 0.0831085i
\(985\) −31.3157 + 5.85392i −0.997802 + 0.186522i
\(986\) −51.5941 19.5860i −1.64309 0.623744i
\(987\) 0.751613 + 0.140501i 0.0239241 + 0.00447219i
\(988\) −0.128690 0.0971819i −0.00409416 0.00309177i
\(989\) 11.3174 20.3186i 0.359872 0.646095i
\(990\) 33.5096 + 12.9817i 1.06501 + 0.412586i
\(991\) −21.4243 9.45974i −0.680564 0.300499i 0.0346543 0.999399i \(-0.488967\pi\)
−0.715219 + 0.698901i \(0.753673\pi\)
\(992\) −4.60596 2.56551i −0.146240 0.0814549i
\(993\) 18.5441 + 10.3290i 0.588481 + 0.327782i
\(994\) −0.00729284 + 0.00207499i −0.000231315 + 6.58148e-5i
\(995\) −8.64332 + 9.48126i −0.274012 + 0.300576i
\(996\) 0.728873 + 0.244294i 0.0230952 + 0.00774074i
\(997\) 36.1821 8.50996i 1.14590 0.269513i 0.387858 0.921719i \(-0.373215\pi\)
0.758042 + 0.652206i \(0.226156\pi\)
\(998\) −25.6178 25.6178i −0.810919 0.810919i
\(999\) −34.3607 + 31.3239i −1.08712 + 0.991045i
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 289.2.h.a.149.8 768
289.225 even 68 inner 289.2.h.a.225.8 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
289.2.h.a.149.8 768 1.1 even 1 trivial
289.2.h.a.225.8 yes 768 289.225 even 68 inner