Properties

Label 930.2.br.b.761.2
Level $930$
Weight $2$
Character 930.761
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
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] = [930,2,Mod(11,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 0, 23]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 761.2
Character \(\chi\) \(=\) 930.761
Dual form 930.2.br.b.11.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.951057 - 0.309017i) q^{2} +(-1.26144 + 1.18692i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.56648 - 0.739021i) q^{6} +(0.426617 - 4.05899i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(0.182449 - 2.99445i) q^{9} +O(q^{10})\) \(q+(-0.951057 - 0.309017i) q^{2} +(-1.26144 + 1.18692i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.56648 - 0.739021i) q^{6} +(0.426617 - 4.05899i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(0.182449 - 2.99445i) q^{9} +(0.669131 + 0.743145i) q^{10} +(-3.30515 + 1.47155i) q^{11} +(-1.71818 + 0.218783i) q^{12} +(-0.315521 + 1.48441i) q^{13} +(-1.66003 + 3.72850i) q^{14} +(1.68590 - 0.397183i) q^{15} +(0.309017 + 0.951057i) q^{16} +(0.831557 + 0.370233i) q^{17} +(-1.09885 + 2.79151i) q^{18} +(-5.99902 + 1.27513i) q^{19} +(-0.406737 - 0.913545i) q^{20} +(4.27954 + 5.62652i) q^{21} +(3.59812 - 0.378178i) q^{22} +(5.09792 - 3.70386i) q^{23} +(1.70169 + 0.322871i) q^{24} +(0.500000 + 0.866025i) q^{25} +(0.758786 - 1.31426i) q^{26} +(3.32402 + 3.99386i) q^{27} +(2.73096 - 3.03303i) q^{28} +(-0.234766 + 0.722537i) q^{29} +(-1.72612 - 0.143227i) q^{30} +(3.18326 + 4.56803i) q^{31} -1.00000i q^{32} +(2.42264 - 5.77922i) q^{33} +(-0.676450 - 0.609078i) q^{34} +(-2.39896 + 3.30188i) q^{35} +(1.90770 - 2.31532i) q^{36} +(6.51379 - 3.76074i) q^{37} +(6.09945 + 0.641078i) q^{38} +(-1.36386 - 2.24699i) q^{39} +(0.104528 + 0.994522i) q^{40} +(-4.77654 + 4.30082i) q^{41} +(-2.33139 - 6.67359i) q^{42} +(2.06985 + 9.73786i) q^{43} +(-3.53888 - 0.752212i) q^{44} +(-1.65523 + 2.50204i) q^{45} +(-5.99297 + 1.94723i) q^{46} +(-9.32882 + 3.03112i) q^{47} +(-1.51863 - 0.832920i) q^{48} +(-9.44638 - 2.00789i) q^{49} +(-0.207912 - 0.978148i) q^{50} +(-1.48839 + 0.519965i) q^{51} +(-1.12778 + 1.01545i) q^{52} +(1.09808 + 10.4475i) q^{53} +(-1.92716 - 4.82556i) q^{54} +(3.59812 + 0.378178i) q^{55} +(-3.53455 + 2.04068i) q^{56} +(6.05392 - 8.72885i) q^{57} +(0.446552 - 0.614627i) q^{58} +(-6.39219 - 5.75555i) q^{59} +(1.59738 + 0.669617i) q^{60} +10.8474i q^{61} +(-1.61586 - 5.32813i) q^{62} +(-12.0766 - 2.01804i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(1.01545 - 1.12778i) q^{65} +(-4.08994 + 4.74773i) q^{66} +(-3.17730 + 5.50324i) q^{67} +(0.455126 + 0.788302i) q^{68} +(-2.03453 + 10.7230i) q^{69} +(3.30188 - 2.39896i) q^{70} +(-2.69884 + 0.283660i) q^{71} +(-2.52980 + 1.61249i) q^{72} +(-4.41226 - 9.91010i) q^{73} +(-7.35712 + 1.56380i) q^{74} +(-1.65862 - 0.498978i) q^{75} +(-5.60282 - 2.49453i) q^{76} +(4.56297 + 14.0434i) q^{77} +(0.602754 + 2.55847i) q^{78} +(-5.32318 + 11.9561i) q^{79} +(0.207912 - 0.978148i) q^{80} +(-8.93342 - 1.09267i) q^{81} +(5.87179 - 2.61429i) q^{82} +(-4.85446 - 5.39142i) q^{83} +(0.155034 + 7.06741i) q^{84} +(-0.535033 - 0.736410i) q^{85} +(1.04062 - 9.90088i) q^{86} +(-0.561449 - 1.19008i) q^{87} +(3.13323 + 1.80897i) q^{88} +(-5.08325 - 3.69320i) q^{89} +(2.34739 - 1.86809i) q^{90} +(5.89060 + 1.91397i) q^{91} +6.30138 q^{92} +(-9.43736 - 1.98401i) q^{93} +9.80891 q^{94} +(5.83287 + 1.89522i) q^{95} +(1.18692 + 1.26144i) q^{96} +(10.0834 + 7.32599i) q^{97} +(8.36357 + 4.82871i) q^{98} +(3.80346 + 10.1656i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q + 44 q^{4} + 4 q^{7} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 176 q + 44 q^{4} + 4 q^{7} + 4 q^{9} + 22 q^{10} + 38 q^{13} - 44 q^{16} + 4 q^{18} + 8 q^{19} - 42 q^{21} + 4 q^{22} + 88 q^{25} + 30 q^{27} + 36 q^{28} + 32 q^{31} - 70 q^{33} + 14 q^{34} - 4 q^{36} + 42 q^{37} + 58 q^{39} - 22 q^{40} - 12 q^{42} - 46 q^{43} + 16 q^{45} + 10 q^{46} + 38 q^{49} + 38 q^{51} + 2 q^{52} + 4 q^{55} + 78 q^{57} - 40 q^{58} + 16 q^{63} + 44 q^{64} + 34 q^{66} - 76 q^{67} + 148 q^{69} - 8 q^{70} - 4 q^{72} - 52 q^{73} + 12 q^{76} + 60 q^{78} + 8 q^{79} - 108 q^{81} - 40 q^{82} - 8 q^{84} + 28 q^{87} + 6 q^{88} + 24 q^{90} - 20 q^{91} - 28 q^{93} - 20 q^{94} - 112 q^{97} - 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 0.309017i −0.672499 0.218508i
\(3\) −1.26144 + 1.18692i −0.728291 + 0.685268i
\(4\) 0.809017 + 0.587785i 0.404508 + 0.293893i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.56648 0.739021i 0.639511 0.301704i
\(7\) 0.426617 4.05899i 0.161246 1.53415i −0.552359 0.833607i \(-0.686272\pi\)
0.713605 0.700548i \(-0.247061\pi\)
\(8\) −0.587785 0.809017i −0.207813 0.286031i
\(9\) 0.182449 2.99445i 0.0608163 0.998149i
\(10\) 0.669131 + 0.743145i 0.211598 + 0.235003i
\(11\) −3.30515 + 1.47155i −0.996542 + 0.443689i −0.839181 0.543852i \(-0.816965\pi\)
−0.157361 + 0.987541i \(0.550299\pi\)
\(12\) −1.71818 + 0.218783i −0.495995 + 0.0631572i
\(13\) −0.315521 + 1.48441i −0.0875098 + 0.411701i 0.912487 + 0.409106i \(0.134159\pi\)
−0.999997 + 0.00259505i \(0.999174\pi\)
\(14\) −1.66003 + 3.72850i −0.443663 + 0.996483i
\(15\) 1.68590 0.397183i 0.435297 0.102552i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 0.831557 + 0.370233i 0.201682 + 0.0897947i 0.505092 0.863065i \(-0.331458\pi\)
−0.303410 + 0.952860i \(0.598125\pi\)
\(18\) −1.09885 + 2.79151i −0.259002 + 0.657965i
\(19\) −5.99902 + 1.27513i −1.37627 + 0.292535i −0.835895 0.548889i \(-0.815051\pi\)
−0.540375 + 0.841424i \(0.681718\pi\)
\(20\) −0.406737 0.913545i −0.0909491 0.204275i
\(21\) 4.27954 + 5.62652i 0.933873 + 1.22781i
\(22\) 3.59812 0.378178i 0.767122 0.0806278i
\(23\) 5.09792 3.70386i 1.06299 0.772308i 0.0883513 0.996089i \(-0.471840\pi\)
0.974639 + 0.223781i \(0.0718402\pi\)
\(24\) 1.70169 + 0.322871i 0.347356 + 0.0659058i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 0.758786 1.31426i 0.148810 0.257747i
\(27\) 3.32402 + 3.99386i 0.639707 + 0.768619i
\(28\) 2.73096 3.03303i 0.516102 0.573190i
\(29\) −0.234766 + 0.722537i −0.0435950 + 0.134172i −0.970485 0.241161i \(-0.922472\pi\)
0.926890 + 0.375333i \(0.122472\pi\)
\(30\) −1.72612 0.143227i −0.315145 0.0261496i
\(31\) 3.18326 + 4.56803i 0.571730 + 0.820442i
\(32\) 1.00000i 0.176777i
\(33\) 2.42264 5.77922i 0.421727 1.00603i
\(34\) −0.676450 0.609078i −0.116010 0.104456i
\(35\) −2.39896 + 3.30188i −0.405498 + 0.558120i
\(36\) 1.90770 2.31532i 0.317949 0.385886i
\(37\) 6.51379 3.76074i 1.07086 0.618262i 0.142444 0.989803i \(-0.454504\pi\)
0.928416 + 0.371541i \(0.121171\pi\)
\(38\) 6.09945 + 0.641078i 0.989461 + 0.103997i
\(39\) −1.36386 2.24699i −0.218393 0.359806i
\(40\) 0.104528 + 0.994522i 0.0165274 + 0.157248i
\(41\) −4.77654 + 4.30082i −0.745971 + 0.671675i −0.951733 0.306927i \(-0.900699\pi\)
0.205762 + 0.978602i \(0.434033\pi\)
\(42\) −2.33139 6.67359i −0.359742 1.02976i
\(43\) 2.06985 + 9.73786i 0.315649 + 1.48501i 0.794581 + 0.607158i \(0.207691\pi\)
−0.478932 + 0.877852i \(0.658976\pi\)
\(44\) −3.53888 0.752212i −0.533506 0.113400i
\(45\) −1.65523 + 2.50204i −0.246747 + 0.372983i
\(46\) −5.99297 + 1.94723i −0.883615 + 0.287104i
\(47\) −9.32882 + 3.03112i −1.36075 + 0.442134i −0.896293 0.443462i \(-0.853750\pi\)
−0.464456 + 0.885596i \(0.653750\pi\)
\(48\) −1.51863 0.832920i −0.219196 0.120222i
\(49\) −9.44638 2.00789i −1.34948 0.286842i
\(50\) −0.207912 0.978148i −0.0294032 0.138331i
\(51\) −1.48839 + 0.519965i −0.208417 + 0.0728096i
\(52\) −1.12778 + 1.01545i −0.156394 + 0.140818i
\(53\) 1.09808 + 10.4475i 0.150833 + 1.43508i 0.764046 + 0.645162i \(0.223210\pi\)
−0.613213 + 0.789918i \(0.710123\pi\)
\(54\) −1.92716 4.82556i −0.262253 0.656676i
\(55\) 3.59812 + 0.378178i 0.485171 + 0.0509935i
\(56\) −3.53455 + 2.04068i −0.472325 + 0.272697i
\(57\) 6.05392 8.72885i 0.801861 1.15616i
\(58\) 0.446552 0.614627i 0.0586352 0.0807044i
\(59\) −6.39219 5.75555i −0.832192 0.749309i 0.138313 0.990389i \(-0.455832\pi\)
−0.970505 + 0.241080i \(0.922499\pi\)
\(60\) 1.59738 + 0.669617i 0.206220 + 0.0864472i
\(61\) 10.8474i 1.38887i 0.719556 + 0.694435i \(0.244346\pi\)
−0.719556 + 0.694435i \(0.755654\pi\)
\(62\) −1.61586 5.32813i −0.205215 0.676673i
\(63\) −12.0766 2.01804i −1.52151 0.254249i
\(64\) −0.309017 + 0.951057i −0.0386271 + 0.118882i
\(65\) 1.01545 1.12778i 0.125952 0.139883i
\(66\) −4.08994 + 4.74773i −0.503437 + 0.584405i
\(67\) −3.17730 + 5.50324i −0.388169 + 0.672328i −0.992203 0.124630i \(-0.960226\pi\)
0.604035 + 0.796958i \(0.293559\pi\)
\(68\) 0.455126 + 0.788302i 0.0551922 + 0.0955957i
\(69\) −2.03453 + 10.7230i −0.244929 + 1.29090i
\(70\) 3.30188 2.39896i 0.394650 0.286730i
\(71\) −2.69884 + 0.283660i −0.320293 + 0.0336642i −0.263311 0.964711i \(-0.584815\pi\)
−0.0569824 + 0.998375i \(0.518148\pi\)
\(72\) −2.52980 + 1.61249i −0.298140 + 0.190033i
\(73\) −4.41226 9.91010i −0.516416 1.15989i −0.964062 0.265678i \(-0.914404\pi\)
0.447646 0.894211i \(-0.352262\pi\)
\(74\) −7.35712 + 1.56380i −0.855247 + 0.181788i
\(75\) −1.65862 0.498978i −0.191521 0.0576170i
\(76\) −5.60282 2.49453i −0.642687 0.286143i
\(77\) 4.56297 + 14.0434i 0.519999 + 1.60039i
\(78\) 0.602754 + 2.55847i 0.0682484 + 0.289689i
\(79\) −5.32318 + 11.9561i −0.598904 + 1.34516i 0.318772 + 0.947831i \(0.396730\pi\)
−0.917676 + 0.397329i \(0.869937\pi\)
\(80\) 0.207912 0.978148i 0.0232452 0.109360i
\(81\) −8.93342 1.09267i −0.992603 0.121407i
\(82\) 5.87179 2.61429i 0.648431 0.288700i
\(83\) −4.85446 5.39142i −0.532846 0.591785i 0.415275 0.909696i \(-0.363685\pi\)
−0.948121 + 0.317911i \(0.897019\pi\)
\(84\) 0.155034 + 7.06741i 0.0169156 + 0.771117i
\(85\) −0.535033 0.736410i −0.0580325 0.0798749i
\(86\) 1.04062 9.90088i 0.112213 1.06764i
\(87\) −0.561449 1.19008i −0.0601937 0.127590i
\(88\) 3.13323 + 1.80897i 0.334003 + 0.192837i
\(89\) −5.08325 3.69320i −0.538823 0.391478i 0.284825 0.958580i \(-0.408065\pi\)
−0.823648 + 0.567102i \(0.808065\pi\)
\(90\) 2.34739 1.86809i 0.247437 0.196914i
\(91\) 5.89060 + 1.91397i 0.617503 + 0.200639i
\(92\) 6.30138 0.656964
\(93\) −9.43736 1.98401i −0.978608 0.205732i
\(94\) 9.80891 1.01171
\(95\) 5.83287 + 1.89522i 0.598440 + 0.194445i
\(96\) 1.18692 + 1.26144i 0.121139 + 0.128745i
\(97\) 10.0834 + 7.32599i 1.02381 + 0.743841i 0.967060 0.254547i \(-0.0819264\pi\)
0.0567493 + 0.998388i \(0.481926\pi\)
\(98\) 8.36357 + 4.82871i 0.844848 + 0.487773i
\(99\) 3.80346 + 10.1656i 0.382262 + 1.02168i
\(100\) −0.104528 + 0.994522i −0.0104528 + 0.0994522i
\(101\) 4.70947 + 6.48203i 0.468610 + 0.644986i 0.976266 0.216573i \(-0.0694880\pi\)
−0.507656 + 0.861560i \(0.669488\pi\)
\(102\) 1.57623 0.0345768i 0.156070 0.00342362i
\(103\) −11.2903 12.5392i −1.11247 1.23552i −0.969315 0.245820i \(-0.920943\pi\)
−0.143153 0.989701i \(-0.545724\pi\)
\(104\) 1.38637 0.617252i 0.135945 0.0605265i
\(105\) −0.892930 7.01248i −0.0871410 0.684348i
\(106\) 2.18413 10.2755i 0.212142 0.998047i
\(107\) 6.39157 14.3557i 0.617897 1.38782i −0.285236 0.958457i \(-0.592072\pi\)
0.903133 0.429362i \(-0.141261\pi\)
\(108\) 0.341654 + 5.18491i 0.0328757 + 0.498918i
\(109\) 2.59598 + 7.98961i 0.248650 + 0.765265i 0.995015 + 0.0997284i \(0.0317974\pi\)
−0.746365 + 0.665537i \(0.768203\pi\)
\(110\) −3.30515 1.47155i −0.315134 0.140307i
\(111\) −3.75305 + 12.4753i −0.356224 + 1.18410i
\(112\) 3.99216 0.848560i 0.377224 0.0801814i
\(113\) 7.80569 + 17.5319i 0.734298 + 1.64926i 0.760278 + 0.649598i \(0.225063\pi\)
−0.0259801 + 0.999662i \(0.508271\pi\)
\(114\) −8.45498 + 6.43087i −0.791881 + 0.602306i
\(115\) −6.26686 + 0.658674i −0.584388 + 0.0614216i
\(116\) −0.614627 + 0.446552i −0.0570667 + 0.0414613i
\(117\) 4.38742 + 1.21564i 0.405617 + 0.112386i
\(118\) 4.30077 + 7.44915i 0.395918 + 0.685750i
\(119\) 1.85753 3.21734i 0.170280 0.294933i
\(120\) −1.31227 1.13046i −0.119794 0.103196i
\(121\) 1.39815 1.55281i 0.127105 0.141164i
\(122\) 3.35204 10.3165i 0.303479 0.934013i
\(123\) 0.920589 11.0946i 0.0830067 1.00036i
\(124\) −0.109707 + 5.56668i −0.00985196 + 0.499903i
\(125\) 1.00000i 0.0894427i
\(126\) 10.8619 + 5.65115i 0.967657 + 0.503444i
\(127\) 3.15317 + 2.83912i 0.279798 + 0.251931i 0.797066 0.603892i \(-0.206384\pi\)
−0.517268 + 0.855824i \(0.673051\pi\)
\(128\) 0.587785 0.809017i 0.0519534 0.0715077i
\(129\) −14.1690 9.82697i −1.24751 0.865216i
\(130\) −1.31426 + 0.758786i −0.115268 + 0.0665499i
\(131\) 1.79029 + 0.188168i 0.156419 + 0.0164403i 0.182414 0.983222i \(-0.441609\pi\)
−0.0259954 + 0.999662i \(0.508276\pi\)
\(132\) 5.35689 3.25149i 0.466258 0.283006i
\(133\) 2.61646 + 24.8940i 0.226876 + 2.15858i
\(134\) 4.72238 4.25205i 0.407952 0.367322i
\(135\) −0.881753 5.12079i −0.0758892 0.440728i
\(136\) −0.189252 0.890362i −0.0162282 0.0763479i
\(137\) −4.46170 0.948363i −0.381188 0.0810241i 0.0133323 0.999911i \(-0.495756\pi\)
−0.394521 + 0.918887i \(0.629089\pi\)
\(138\) 5.24855 9.56948i 0.446786 0.814608i
\(139\) −1.00223 + 0.325643i −0.0850077 + 0.0276207i −0.351212 0.936296i \(-0.614230\pi\)
0.266204 + 0.963917i \(0.414230\pi\)
\(140\) −3.88159 + 1.26121i −0.328055 + 0.106591i
\(141\) 8.17004 14.8961i 0.688041 1.25448i
\(142\) 2.65441 + 0.564211i 0.222753 + 0.0473476i
\(143\) −1.14154 5.37051i −0.0954601 0.449104i
\(144\) 2.90427 0.751816i 0.242022 0.0626513i
\(145\) 0.564582 0.508352i 0.0468860 0.0422163i
\(146\) 1.13392 + 10.7885i 0.0938439 + 0.892865i
\(147\) 14.2992 8.67926i 1.17938 0.715853i
\(148\) 7.48027 + 0.786208i 0.614875 + 0.0646259i
\(149\) 20.3089 11.7253i 1.66377 0.960577i 0.692877 0.721056i \(-0.256343\pi\)
0.970891 0.239521i \(-0.0769904\pi\)
\(150\) 1.42325 + 0.987098i 0.116208 + 0.0805962i
\(151\) 0.758279 1.04368i 0.0617078 0.0849336i −0.777048 0.629442i \(-0.783284\pi\)
0.838756 + 0.544508i \(0.183284\pi\)
\(152\) 4.55774 + 4.10381i 0.369682 + 0.332863i
\(153\) 1.26036 2.42251i 0.101894 0.195848i
\(154\) 14.7661i 1.18989i
\(155\) −0.472771 5.54766i −0.0379739 0.445598i
\(156\) 0.217358 2.61951i 0.0174025 0.209729i
\(157\) 3.84289 11.8272i 0.306696 0.943913i −0.672343 0.740240i \(-0.734712\pi\)
0.979039 0.203673i \(-0.0652880\pi\)
\(158\) 8.75727 9.72593i 0.696691 0.773753i
\(159\) −13.7855 11.8756i −1.09326 0.941795i
\(160\) −0.500000 + 0.866025i −0.0395285 + 0.0684653i
\(161\) −12.8591 22.2726i −1.01344 1.75532i
\(162\) 8.15854 + 3.79977i 0.640995 + 0.298538i
\(163\) −18.1316 + 13.1734i −1.42018 + 1.03182i −0.428437 + 0.903572i \(0.640936\pi\)
−0.991742 + 0.128249i \(0.959064\pi\)
\(164\) −6.39226 + 0.671854i −0.499152 + 0.0524630i
\(165\) −4.98767 + 3.79363i −0.388290 + 0.295334i
\(166\) 2.95082 + 6.62766i 0.229028 + 0.514406i
\(167\) −5.16142 + 1.09709i −0.399402 + 0.0848956i −0.403234 0.915097i \(-0.632114\pi\)
0.00383121 + 0.999993i \(0.498780\pi\)
\(168\) 2.03650 6.76941i 0.157120 0.522271i
\(169\) 9.77217 + 4.35085i 0.751706 + 0.334681i
\(170\) 0.281284 + 0.865702i 0.0215735 + 0.0663963i
\(171\) 2.72380 + 18.1964i 0.208294 + 1.39151i
\(172\) −4.04923 + 9.09472i −0.308751 + 0.693466i
\(173\) −1.25640 + 5.91088i −0.0955221 + 0.449396i 0.904228 + 0.427050i \(0.140447\pi\)
−0.999750 + 0.0223465i \(0.992886\pi\)
\(174\) 0.166214 + 1.30533i 0.0126006 + 0.0989571i
\(175\) 3.72850 1.66003i 0.281848 0.125487i
\(176\) −2.42088 2.68865i −0.182480 0.202665i
\(177\) 14.8947 0.326738i 1.11956 0.0245591i
\(178\) 3.69320 + 5.08325i 0.276817 + 0.381005i
\(179\) −1.37631 + 13.0947i −0.102870 + 0.978747i 0.814352 + 0.580371i \(0.197093\pi\)
−0.917222 + 0.398375i \(0.869574\pi\)
\(180\) −2.80977 + 1.05128i −0.209428 + 0.0783575i
\(181\) −17.2702 9.97095i −1.28368 0.741135i −0.306163 0.951979i \(-0.599045\pi\)
−0.977520 + 0.210845i \(0.932379\pi\)
\(182\) −5.01084 3.64059i −0.371428 0.269859i
\(183\) −12.8750 13.6833i −0.951748 1.01150i
\(184\) −5.99297 1.94723i −0.441808 0.143552i
\(185\) −7.52148 −0.552990
\(186\) 8.36237 + 4.80321i 0.613159 + 0.352188i
\(187\) −3.29324 −0.240826
\(188\) −9.32882 3.03112i −0.680374 0.221067i
\(189\) 17.6291 11.7883i 1.28233 0.857473i
\(190\) −4.96174 3.60491i −0.359962 0.261528i
\(191\) 3.61957 + 2.08976i 0.261903 + 0.151210i 0.625202 0.780463i \(-0.285016\pi\)
−0.363299 + 0.931673i \(0.618350\pi\)
\(192\) −0.739021 1.56648i −0.0533342 0.113051i
\(193\) −0.312514 + 2.97337i −0.0224952 + 0.214028i 0.977500 + 0.210936i \(0.0676510\pi\)
−0.999995 + 0.00309239i \(0.999016\pi\)
\(194\) −7.32599 10.0834i −0.525975 0.723943i
\(195\) 0.0576464 + 2.62788i 0.00412815 + 0.188186i
\(196\) −6.46208 7.17686i −0.461577 0.512633i
\(197\) −1.85500 + 0.825899i −0.132163 + 0.0588429i −0.471753 0.881731i \(-0.656379\pi\)
0.339590 + 0.940574i \(0.389712\pi\)
\(198\) −0.475961 10.8434i −0.0338250 0.770606i
\(199\) −2.85520 + 13.4327i −0.202400 + 0.952216i 0.753255 + 0.657728i \(0.228482\pi\)
−0.955655 + 0.294488i \(0.904851\pi\)
\(200\) 0.406737 0.913545i 0.0287606 0.0645974i
\(201\) −2.52394 10.7132i −0.178025 0.755650i
\(202\) −2.47592 7.62009i −0.174205 0.536147i
\(203\) 2.83262 + 1.26116i 0.198811 + 0.0885162i
\(204\) −1.50976 0.454196i −0.105705 0.0318001i
\(205\) 6.28702 1.33635i 0.439104 0.0933345i
\(206\) 6.86291 + 15.4144i 0.478162 + 1.07397i
\(207\) −10.1609 15.9412i −0.706231 1.10799i
\(208\) −1.50926 + 0.158629i −0.104648 + 0.0109990i
\(209\) 17.9513 13.0424i 1.24172 0.902160i
\(210\) −1.31775 + 6.94520i −0.0909334 + 0.479264i
\(211\) 1.52165 + 2.63558i 0.104755 + 0.181440i 0.913638 0.406529i \(-0.133261\pi\)
−0.808883 + 0.587969i \(0.799928\pi\)
\(212\) −5.25254 + 9.09767i −0.360746 + 0.624831i
\(213\) 3.06774 3.56112i 0.210198 0.244004i
\(214\) −10.5149 + 11.6780i −0.718784 + 0.798291i
\(215\) 3.07639 9.46816i 0.209808 0.645723i
\(216\) 1.27729 5.03672i 0.0869087 0.342705i
\(217\) 19.8996 10.9720i 1.35087 0.744830i
\(218\) 8.40077i 0.568972i
\(219\) 17.3283 + 7.26397i 1.17094 + 0.490854i
\(220\) 2.68865 + 2.42088i 0.181269 + 0.163215i
\(221\) −0.811951 + 1.11756i −0.0546178 + 0.0751749i
\(222\) 7.42443 10.7049i 0.498295 0.718468i
\(223\) 9.66341 5.57917i 0.647110 0.373609i −0.140238 0.990118i \(-0.544787\pi\)
0.787348 + 0.616509i \(0.211453\pi\)
\(224\) −4.05899 0.426617i −0.271203 0.0285046i
\(225\) 2.68449 1.33922i 0.178966 0.0892812i
\(226\) −2.00601 19.0859i −0.133438 1.26958i
\(227\) −13.3073 + 11.9820i −0.883237 + 0.795270i −0.979784 0.200058i \(-0.935887\pi\)
0.0965472 + 0.995328i \(0.469220\pi\)
\(228\) 10.0284 3.50339i 0.664148 0.232017i
\(229\) 1.48170 + 6.97085i 0.0979134 + 0.460647i 0.999601 + 0.0282577i \(0.00899589\pi\)
−0.901687 + 0.432389i \(0.857671\pi\)
\(230\) 6.16368 + 1.31013i 0.406421 + 0.0863875i
\(231\) −22.4243 12.2990i −1.47541 0.809213i
\(232\) 0.722537 0.234766i 0.0474369 0.0154132i
\(233\) −1.68590 + 0.547783i −0.110447 + 0.0358865i −0.363719 0.931509i \(-0.618493\pi\)
0.253272 + 0.967395i \(0.418493\pi\)
\(234\) −3.79703 2.51193i −0.248220 0.164210i
\(235\) 9.59456 + 2.03939i 0.625880 + 0.133035i
\(236\) −1.78836 8.41357i −0.116412 0.547677i
\(237\) −7.47600 21.4000i −0.485619 1.39008i
\(238\) −2.76083 + 2.48586i −0.178958 + 0.161134i
\(239\) 0.545577 + 5.19082i 0.0352904 + 0.335766i 0.997895 + 0.0648547i \(0.0206584\pi\)
−0.962604 + 0.270911i \(0.912675\pi\)
\(240\) 0.898714 + 1.48065i 0.0580117 + 0.0955753i
\(241\) 1.83884 + 0.193270i 0.118450 + 0.0124496i 0.163568 0.986532i \(-0.447700\pi\)
−0.0451178 + 0.998982i \(0.514366\pi\)
\(242\) −1.80956 + 1.04475i −0.116323 + 0.0671592i
\(243\) 12.5659 9.22492i 0.806100 0.591779i
\(244\) −6.37595 + 8.77575i −0.408179 + 0.561810i
\(245\) 7.17686 + 6.46208i 0.458513 + 0.412847i
\(246\) −4.30395 + 10.2671i −0.274410 + 0.654606i
\(247\) 9.30734i 0.592212i
\(248\) 1.82454 5.26033i 0.115858 0.334031i
\(249\) 12.5228 + 1.03910i 0.793599 + 0.0658500i
\(250\) −0.309017 + 0.951057i −0.0195440 + 0.0601501i
\(251\) 5.66127 6.28748i 0.357336 0.396862i −0.537495 0.843267i \(-0.680629\pi\)
0.894831 + 0.446405i \(0.147296\pi\)
\(252\) −8.58400 8.73108i −0.540741 0.550006i
\(253\) −11.3990 + 19.7437i −0.716650 + 1.24127i
\(254\) −2.12150 3.67455i −0.133115 0.230562i
\(255\) 1.54897 + 0.293894i 0.0970002 + 0.0184044i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 28.2834 2.97271i 1.76427 0.185432i 0.833866 0.551967i \(-0.186122\pi\)
0.930405 + 0.366534i \(0.119456\pi\)
\(258\) 10.4389 + 13.7245i 0.649895 + 0.854448i
\(259\) −12.4859 28.0438i −0.775837 1.74256i
\(260\) 1.48441 0.315521i 0.0920591 0.0195678i
\(261\) 2.12077 + 0.834822i 0.131272 + 0.0516742i
\(262\) −1.64452 0.732189i −0.101599 0.0452348i
\(263\) −2.42838 7.47379i −0.149740 0.460854i 0.847850 0.530237i \(-0.177897\pi\)
−0.997590 + 0.0693831i \(0.977897\pi\)
\(264\) −6.09947 + 1.43698i −0.375397 + 0.0884403i
\(265\) 4.27280 9.59687i 0.262476 0.589531i
\(266\) 5.20426 24.4841i 0.319094 1.50122i
\(267\) 10.7957 1.37467i 0.660687 0.0841282i
\(268\) −5.80521 + 2.58465i −0.354610 + 0.157882i
\(269\) 16.8556 + 18.7200i 1.02770 + 1.14138i 0.989853 + 0.142095i \(0.0453840\pi\)
0.0378492 + 0.999283i \(0.487949\pi\)
\(270\) −0.743814 + 5.14264i −0.0452671 + 0.312971i
\(271\) −6.39274 8.79886i −0.388332 0.534493i 0.569436 0.822036i \(-0.307162\pi\)
−0.957768 + 0.287543i \(0.907162\pi\)
\(272\) −0.0951473 + 0.905266i −0.00576915 + 0.0548898i
\(273\) −9.70235 + 4.57731i −0.587213 + 0.277031i
\(274\) 3.95027 + 2.28069i 0.238644 + 0.137781i
\(275\) −2.92698 2.12657i −0.176503 0.128237i
\(276\) −7.94880 + 7.47923i −0.478461 + 0.450196i
\(277\) −10.7453 3.49136i −0.645622 0.209775i −0.0321394 0.999483i \(-0.510232\pi\)
−0.613483 + 0.789708i \(0.710232\pi\)
\(278\) 1.05380 0.0632029
\(279\) 14.2595 8.69867i 0.853693 0.520776i
\(280\) 4.08135 0.243907
\(281\) −6.38416 2.07434i −0.380847 0.123745i 0.112336 0.993670i \(-0.464167\pi\)
−0.493183 + 0.869926i \(0.664167\pi\)
\(282\) −12.3733 + 11.6424i −0.736821 + 0.693293i
\(283\) −12.0044 8.72171i −0.713588 0.518452i 0.170742 0.985316i \(-0.445384\pi\)
−0.884329 + 0.466864i \(0.845384\pi\)
\(284\) −2.35014 1.35685i −0.139455 0.0805144i
\(285\) −9.60727 + 4.53245i −0.569086 + 0.268479i
\(286\) −0.573912 + 5.46041i −0.0339361 + 0.322881i
\(287\) 15.4192 + 21.2228i 0.910169 + 1.25274i
\(288\) −2.99445 0.182449i −0.176449 0.0107509i
\(289\) −10.8208 12.0177i −0.636518 0.706925i
\(290\) −0.694039 + 0.309006i −0.0407554 + 0.0181455i
\(291\) −21.4149 + 2.72685i −1.25536 + 0.159851i
\(292\) 2.25542 10.6109i 0.131988 0.620956i
\(293\) −2.17429 + 4.88353i −0.127023 + 0.285299i −0.965851 0.259098i \(-0.916575\pi\)
0.838828 + 0.544397i \(0.183241\pi\)
\(294\) −16.2814 + 3.83576i −0.949551 + 0.223706i
\(295\) 2.65802 + 8.18055i 0.154756 + 0.476290i
\(296\) −6.87121 3.05926i −0.399381 0.177816i
\(297\) −16.8636 8.30887i −0.978523 0.482129i
\(298\) −22.9382 + 4.87567i −1.32878 + 0.282440i
\(299\) 3.88954 + 8.73605i 0.224938 + 0.505219i
\(300\) −1.04856 1.37859i −0.0605387 0.0795932i
\(301\) 40.4089 4.24715i 2.32913 0.244802i
\(302\) −1.04368 + 0.758279i −0.0600571 + 0.0436340i
\(303\) −13.6344 2.58692i −0.783273 0.148615i
\(304\) −3.06652 5.31137i −0.175877 0.304628i
\(305\) 5.42371 9.39414i 0.310561 0.537907i
\(306\) −1.94727 + 1.91447i −0.111318 + 0.109443i
\(307\) 0.251142 0.278921i 0.0143334 0.0159189i −0.735935 0.677052i \(-0.763257\pi\)
0.750269 + 0.661133i \(0.229924\pi\)
\(308\) −4.56297 + 14.0434i −0.260000 + 0.800196i
\(309\) 29.1250 + 2.41669i 1.65686 + 0.137481i
\(310\) −1.26469 + 5.42223i −0.0718294 + 0.307962i
\(311\) 0.311811i 0.0176812i 0.999961 + 0.00884058i \(0.00281408\pi\)
−0.999961 + 0.00884058i \(0.997186\pi\)
\(312\) −1.01619 + 2.42413i −0.0575305 + 0.137240i
\(313\) 17.5610 + 15.8120i 0.992607 + 0.893747i 0.994339 0.106251i \(-0.0338848\pi\)
−0.00173241 + 0.999998i \(0.500551\pi\)
\(314\) −7.30961 + 10.0608i −0.412505 + 0.567765i
\(315\) 9.44962 + 7.78598i 0.532426 + 0.438690i
\(316\) −11.3341 + 6.54376i −0.637595 + 0.368115i
\(317\) −4.06266 0.427003i −0.228182 0.0239829i −0.0102524 0.999947i \(-0.503264\pi\)
−0.217929 + 0.975965i \(0.569930\pi\)
\(318\) 9.44107 + 15.5543i 0.529429 + 0.872243i
\(319\) −0.287309 2.73357i −0.0160862 0.153050i
\(320\) 0.743145 0.669131i 0.0415431 0.0374055i
\(321\) 8.97649 + 25.6951i 0.501019 + 1.43416i
\(322\) 5.34710 + 25.1561i 0.297982 + 1.40190i
\(323\) −5.46063 1.16069i −0.303837 0.0645827i
\(324\) −6.58504 6.13492i −0.365836 0.340829i
\(325\) −1.44330 + 0.468955i −0.0800597 + 0.0260130i
\(326\) 21.3150 6.92567i 1.18053 0.383577i
\(327\) −12.7577 6.99717i −0.705501 0.386944i
\(328\) 6.28702 + 1.33635i 0.347142 + 0.0737874i
\(329\) 8.32345 + 39.1588i 0.458887 + 2.15889i
\(330\) 5.91586 2.06668i 0.325657 0.113767i
\(331\) −9.95997 + 8.96800i −0.547449 + 0.492926i −0.895811 0.444434i \(-0.853405\pi\)
0.348362 + 0.937360i \(0.386738\pi\)
\(332\) −0.758341 7.21513i −0.0416194 0.395982i
\(333\) −10.0729 20.1913i −0.551991 1.10648i
\(334\) 5.24782 + 0.551568i 0.287148 + 0.0301805i
\(335\) 5.50324 3.17730i 0.300674 0.173594i
\(336\) −4.02869 + 5.80878i −0.219783 + 0.316895i
\(337\) 15.8462 21.8104i 0.863197 1.18809i −0.117601 0.993061i \(-0.537520\pi\)
0.980798 0.195027i \(-0.0624795\pi\)
\(338\) −7.94940 7.15767i −0.432390 0.389326i
\(339\) −30.6553 12.8506i −1.66497 0.697951i
\(340\) 0.910253i 0.0493654i
\(341\) −17.2432 10.4137i −0.933774 0.563934i
\(342\) 3.03251 18.1475i 0.163979 0.981305i
\(343\) −3.35156 + 10.3150i −0.180967 + 0.556960i
\(344\) 6.66147 7.39831i 0.359162 0.398890i
\(345\) 7.12346 8.26913i 0.383514 0.445195i
\(346\) 3.02147 5.23334i 0.162435 0.281346i
\(347\) −13.8284 23.9514i −0.742346 1.28578i −0.951425 0.307882i \(-0.900380\pi\)
0.209079 0.977899i \(-0.432953\pi\)
\(348\) 0.245292 1.29281i 0.0131490 0.0693019i
\(349\) −16.3863 + 11.9053i −0.877139 + 0.637278i −0.932493 0.361188i \(-0.882371\pi\)
0.0553543 + 0.998467i \(0.482371\pi\)
\(350\) −4.05899 + 0.426617i −0.216962 + 0.0228037i
\(351\) −6.97732 + 3.67405i −0.372422 + 0.196107i
\(352\) 1.47155 + 3.30515i 0.0784339 + 0.176165i
\(353\) −16.3938 + 3.48461i −0.872554 + 0.185467i −0.622362 0.782729i \(-0.713827\pi\)
−0.250192 + 0.968196i \(0.580494\pi\)
\(354\) −14.2667 4.29197i −0.758266 0.228116i
\(355\) 2.47909 + 1.10376i 0.131577 + 0.0585817i
\(356\) −1.94163 5.97572i −0.102906 0.316712i
\(357\) 1.47556 + 6.26321i 0.0780948 + 0.331484i
\(358\) 5.35545 12.0285i 0.283044 0.635728i
\(359\) −1.47596 + 6.94385i −0.0778982 + 0.366482i −0.999780 0.0209898i \(-0.993318\pi\)
0.921882 + 0.387472i \(0.126652\pi\)
\(360\) 2.99711 0.131556i 0.157962 0.00693359i
\(361\) 17.0050 7.57110i 0.894998 0.398479i
\(362\) 13.3437 + 14.8197i 0.701331 + 0.778907i
\(363\) 0.0793719 + 3.61826i 0.00416594 + 0.189909i
\(364\) 3.64059 + 5.01084i 0.190819 + 0.262640i
\(365\) −1.13392 + 10.7885i −0.0593521 + 0.564697i
\(366\) 8.01647 + 16.9922i 0.419028 + 0.888198i
\(367\) −15.3589 8.86747i −0.801729 0.462878i 0.0423466 0.999103i \(-0.486517\pi\)
−0.844075 + 0.536225i \(0.819850\pi\)
\(368\) 5.09792 + 3.70386i 0.265748 + 0.193077i
\(369\) 12.0071 + 15.0878i 0.625065 + 0.785439i
\(370\) 7.15335 + 2.32426i 0.371885 + 0.120833i
\(371\) 42.8749 2.22596
\(372\) −6.46881 7.15224i −0.335392 0.370826i
\(373\) 19.7139 1.02075 0.510373 0.859953i \(-0.329507\pi\)
0.510373 + 0.859953i \(0.329507\pi\)
\(374\) 3.13206 + 1.01767i 0.161955 + 0.0526224i
\(375\) 1.18692 + 1.26144i 0.0612922 + 0.0651403i
\(376\) 7.93557 + 5.76553i 0.409246 + 0.297335i
\(377\) −0.998467 0.576465i −0.0514237 0.0296895i
\(378\) −20.4091 + 5.76365i −1.04973 + 0.296450i
\(379\) −1.53231 + 14.5790i −0.0787096 + 0.748872i 0.881988 + 0.471273i \(0.156205\pi\)
−0.960697 + 0.277599i \(0.910461\pi\)
\(380\) 3.60491 + 4.96174i 0.184928 + 0.254532i
\(381\) −7.34733 + 0.161175i −0.376415 + 0.00825722i
\(382\) −2.79665 3.10599i −0.143089 0.158916i
\(383\) −18.5617 + 8.26419i −0.948458 + 0.422281i −0.821870 0.569675i \(-0.807069\pi\)
−0.126588 + 0.991955i \(0.540402\pi\)
\(384\) 0.218783 + 1.71818i 0.0111647 + 0.0876804i
\(385\) 3.07004 14.4434i 0.156464 0.736105i
\(386\) 1.21604 2.73127i 0.0618948 0.139018i
\(387\) 29.5372 4.42138i 1.50146 0.224752i
\(388\) 3.85150 + 11.8537i 0.195530 + 0.601780i
\(389\) −19.6680 8.75676i −0.997207 0.443985i −0.157790 0.987473i \(-0.550437\pi\)
−0.839417 + 0.543488i \(0.817103\pi\)
\(390\) 0.757234 2.51708i 0.0383440 0.127457i
\(391\) 5.61051 1.19255i 0.283736 0.0603099i
\(392\) 3.92803 + 8.82249i 0.198395 + 0.445603i
\(393\) −2.48168 + 1.88757i −0.125184 + 0.0952154i
\(394\) 2.01943 0.212250i 0.101737 0.0106930i
\(395\) 10.5880 7.69266i 0.532742 0.387060i
\(396\) −2.89812 + 10.4598i −0.145636 + 0.525622i
\(397\) −15.9955 27.7050i −0.802790 1.39047i −0.917773 0.397105i \(-0.870015\pi\)
0.114984 0.993367i \(-0.463318\pi\)
\(398\) 6.86638 11.8929i 0.344180 0.596138i
\(399\) −32.8476 28.2967i −1.64444 1.41661i
\(400\) −0.669131 + 0.743145i −0.0334565 + 0.0371572i
\(401\) 3.66934 11.2931i 0.183238 0.563949i −0.816676 0.577097i \(-0.804185\pi\)
0.999914 + 0.0131485i \(0.00418543\pi\)
\(402\) −0.910151 + 10.9688i −0.0453942 + 0.547073i
\(403\) −7.78520 + 3.28395i −0.387809 + 0.163585i
\(404\) 8.01223i 0.398624i
\(405\) 7.19024 + 5.41299i 0.357286 + 0.268974i
\(406\) −2.30426 2.07476i −0.114358 0.102969i
\(407\) −15.9950 + 22.0152i −0.792841 + 1.09125i
\(408\) 1.29552 + 0.898509i 0.0641376 + 0.0444828i
\(409\) −17.2967 + 9.98626i −0.855267 + 0.493789i −0.862425 0.506185i \(-0.831055\pi\)
0.00715718 + 0.999974i \(0.497722\pi\)
\(410\) −6.39226 0.671854i −0.315691 0.0331805i
\(411\) 6.75378 4.09937i 0.333139 0.202207i
\(412\) −1.76372 16.7807i −0.0868923 0.826725i
\(413\) −26.0888 + 23.4904i −1.28374 + 1.15589i
\(414\) 4.73748 + 18.3009i 0.232834 + 0.899440i
\(415\) 1.50837 + 7.09634i 0.0740431 + 0.348345i
\(416\) 1.48441 + 0.315521i 0.0727791 + 0.0154697i
\(417\) 0.877734 1.60034i 0.0429828 0.0783689i
\(418\) −21.1030 + 6.85678i −1.03218 + 0.335376i
\(419\) 1.39230 0.452387i 0.0680185 0.0221006i −0.274810 0.961499i \(-0.588615\pi\)
0.342829 + 0.939398i \(0.388615\pi\)
\(420\) 3.39944 6.19807i 0.165876 0.302435i
\(421\) 3.89011 + 0.826869i 0.189593 + 0.0402991i 0.301729 0.953394i \(-0.402436\pi\)
−0.112137 + 0.993693i \(0.535769\pi\)
\(422\) −0.632738 2.97680i −0.0308012 0.144908i
\(423\) 7.37449 + 28.4877i 0.358560 + 1.38512i
\(424\) 7.80680 7.02928i 0.379132 0.341372i
\(425\) 0.0951473 + 0.905266i 0.00461532 + 0.0439119i
\(426\) −4.01804 + 2.43885i −0.194675 + 0.118162i
\(427\) 44.0296 + 4.62770i 2.13074 + 0.223950i
\(428\) 13.6090 7.85714i 0.657814 0.379789i
\(429\) 7.81433 + 5.41965i 0.377279 + 0.261663i
\(430\) −5.85164 + 8.05410i −0.282191 + 0.388403i
\(431\) 21.8945 + 19.7139i 1.05462 + 0.949584i 0.998806 0.0488569i \(-0.0155578\pi\)
0.0558144 + 0.998441i \(0.482225\pi\)
\(432\) −2.77121 + 4.39550i −0.133330 + 0.211479i
\(433\) 24.6658i 1.18536i −0.805438 0.592680i \(-0.798070\pi\)
0.805438 0.592680i \(-0.201930\pi\)
\(434\) −22.3162 + 4.28570i −1.07121 + 0.205720i
\(435\) −0.108813 + 1.31137i −0.00521716 + 0.0628753i
\(436\) −2.59598 + 7.98961i −0.124325 + 0.382633i
\(437\) −25.8597 + 28.7201i −1.23704 + 1.37387i
\(438\) −14.2355 12.2632i −0.680197 0.585957i
\(439\) 3.75883 6.51048i 0.179399 0.310728i −0.762276 0.647252i \(-0.775918\pi\)
0.941675 + 0.336524i \(0.109251\pi\)
\(440\) −1.80897 3.13323i −0.0862393 0.149371i
\(441\) −7.73600 + 27.9204i −0.368381 + 1.32954i
\(442\) 1.11756 0.811951i 0.0531567 0.0386206i
\(443\) −21.9356 + 2.30552i −1.04219 + 0.109539i −0.610126 0.792304i \(-0.708881\pi\)
−0.432064 + 0.901843i \(0.642215\pi\)
\(444\) −10.3691 + 7.88672i −0.492094 + 0.374287i
\(445\) 2.55562 + 5.74002i 0.121148 + 0.272103i
\(446\) −10.9145 + 2.31995i −0.516817 + 0.109853i
\(447\) −11.7014 + 38.8958i −0.553455 + 1.83971i
\(448\) 3.72850 + 1.66003i 0.176155 + 0.0784293i
\(449\) 3.36491 + 10.3561i 0.158800 + 0.488737i 0.998526 0.0542738i \(-0.0172844\pi\)
−0.839726 + 0.543010i \(0.817284\pi\)
\(450\) −2.96694 + 0.444119i −0.139863 + 0.0209360i
\(451\) 9.45835 21.2438i 0.445376 1.00033i
\(452\) −3.99004 + 18.7717i −0.187676 + 0.882945i
\(453\) 0.282243 + 2.21655i 0.0132609 + 0.104143i
\(454\) 16.3586 7.28333i 0.767748 0.341824i
\(455\) −4.14442 4.60285i −0.194294 0.215785i
\(456\) −10.6202 + 0.232970i −0.497336 + 0.0109098i
\(457\) 13.5484 + 18.6478i 0.633768 + 0.872307i 0.998264 0.0588978i \(-0.0187586\pi\)
−0.364496 + 0.931205i \(0.618759\pi\)
\(458\) 0.744930 7.08754i 0.0348083 0.331179i
\(459\) 1.28545 + 4.55178i 0.0599997 + 0.212459i
\(460\) −5.45716 3.15069i −0.254441 0.146902i
\(461\) −19.7483 14.3480i −0.919769 0.668251i 0.0236977 0.999719i \(-0.492456\pi\)
−0.943466 + 0.331468i \(0.892456\pi\)
\(462\) 17.5261 + 18.6265i 0.815390 + 0.866583i
\(463\) −9.07616 2.94902i −0.421805 0.137053i 0.0904208 0.995904i \(-0.471179\pi\)
−0.512226 + 0.858851i \(0.671179\pi\)
\(464\) −0.759720 −0.0352691
\(465\) 7.18099 + 6.43688i 0.333010 + 0.298503i
\(466\) 1.77266 0.0821171
\(467\) 8.35410 + 2.71441i 0.386582 + 0.125608i 0.495858 0.868403i \(-0.334853\pi\)
−0.109277 + 0.994011i \(0.534853\pi\)
\(468\) 2.83496 + 3.56233i 0.131046 + 0.164669i
\(469\) 20.9821 + 15.2444i 0.968864 + 0.703921i
\(470\) −8.49476 4.90445i −0.391834 0.226226i
\(471\) 9.19035 + 19.4805i 0.423469 + 0.897612i
\(472\) −0.899105 + 8.55442i −0.0413847 + 0.393749i
\(473\) −21.1709 29.1393i −0.973440 1.33982i
\(474\) 0.497142 + 22.6628i 0.0228345 + 1.04094i
\(475\) −4.10381 4.55774i −0.188296 0.209123i
\(476\) 3.39388 1.51105i 0.155558 0.0692589i
\(477\) 31.4849 1.38200i 1.44160 0.0632776i
\(478\) 1.08518 5.10535i 0.0496348 0.233513i
\(479\) −7.12197 + 15.9962i −0.325411 + 0.730885i −0.999973 0.00733307i \(-0.997666\pi\)
0.674562 + 0.738218i \(0.264332\pi\)
\(480\) −0.397183 1.68590i −0.0181288 0.0769503i
\(481\) 3.52724 + 10.8557i 0.160828 + 0.494978i
\(482\) −1.68912 0.752045i −0.0769373 0.0342547i
\(483\) 42.6566 + 12.8328i 1.94094 + 0.583912i
\(484\) 2.04384 0.434433i 0.0929020 0.0197469i
\(485\) −5.06945 11.3862i −0.230192 0.517019i
\(486\) −14.8015 + 4.89035i −0.671410 + 0.221831i
\(487\) 21.8795 2.29963i 0.991455 0.104206i 0.405111 0.914268i \(-0.367233\pi\)
0.586345 + 0.810062i \(0.300566\pi\)
\(488\) 8.77575 6.37595i 0.397259 0.288626i
\(489\) 7.23617 38.1382i 0.327231 1.72467i
\(490\) −4.82871 8.36357i −0.218139 0.377828i
\(491\) −1.16691 + 2.02115i −0.0526619 + 0.0912131i −0.891155 0.453700i \(-0.850104\pi\)
0.838493 + 0.544913i \(0.183437\pi\)
\(492\) 7.26600 8.43460i 0.327577 0.380261i
\(493\) −0.462729 + 0.513913i −0.0208403 + 0.0231455i
\(494\) −2.87613 + 8.85180i −0.129403 + 0.398261i
\(495\) 1.78891 10.7054i 0.0804054 0.481171i
\(496\) −3.36077 + 4.43906i −0.150903 + 0.199320i
\(497\) 11.0756i 0.496808i
\(498\) −11.5888 4.85799i −0.519305 0.217692i
\(499\) −2.81885 2.53810i −0.126189 0.113621i 0.603620 0.797272i \(-0.293724\pi\)
−0.729809 + 0.683651i \(0.760391\pi\)
\(500\) 0.587785 0.809017i 0.0262866 0.0361803i
\(501\) 5.20864 7.51010i 0.232705 0.335526i
\(502\) −7.32713 + 4.23032i −0.327026 + 0.188808i
\(503\) 15.8829 + 1.66936i 0.708184 + 0.0744331i 0.451771 0.892134i \(-0.350793\pi\)
0.256413 + 0.966567i \(0.417459\pi\)
\(504\) 5.46582 + 10.9564i 0.243467 + 0.488035i
\(505\) −0.837506 7.96834i −0.0372685 0.354587i
\(506\) 16.9422 15.2549i 0.753174 0.678161i
\(507\) −17.4911 + 6.11045i −0.776807 + 0.271374i
\(508\) 0.882170 + 4.15028i 0.0391400 + 0.184139i
\(509\) 24.1466 + 5.13251i 1.07028 + 0.227494i 0.709176 0.705032i \(-0.249067\pi\)
0.361102 + 0.932526i \(0.382401\pi\)
\(510\) −1.38234 0.758168i −0.0612110 0.0335722i
\(511\) −42.1073 + 13.6815i −1.86272 + 0.605234i
\(512\) 0.951057 0.309017i 0.0420312 0.0136568i
\(513\) −25.0336 19.7207i −1.10526 0.870690i
\(514\) −27.8177 5.91284i −1.22699 0.260804i
\(515\) 3.50812 + 16.5044i 0.154586 + 0.727271i
\(516\) −5.68684 16.2785i −0.250349 0.716622i
\(517\) 26.3728 23.7461i 1.15987 1.04435i
\(518\) 3.20879 + 30.5296i 0.140986 + 1.34139i
\(519\) −5.43087 8.94745i −0.238389 0.392749i
\(520\) −1.50926 0.158629i −0.0661854 0.00695636i
\(521\) 28.8955 16.6828i 1.26593 0.730887i 0.291718 0.956504i \(-0.405773\pi\)
0.974216 + 0.225617i \(0.0724398\pi\)
\(522\) −1.75899 1.44932i −0.0769891 0.0634348i
\(523\) 14.0585 19.3498i 0.614733 0.846108i −0.382223 0.924070i \(-0.624841\pi\)
0.996956 + 0.0779624i \(0.0248414\pi\)
\(524\) 1.33778 + 1.20454i 0.0584410 + 0.0526205i
\(525\) −2.73294 + 6.51945i −0.119275 + 0.284532i
\(526\) 7.85841i 0.342643i
\(527\) 0.955828 + 4.97712i 0.0416365 + 0.216807i
\(528\) 6.24500 + 0.518188i 0.271779 + 0.0225512i
\(529\) 5.16287 15.8897i 0.224473 0.690856i
\(530\) −7.02928 + 7.80680i −0.305332 + 0.339106i
\(531\) −18.4009 + 18.0910i −0.798533 + 0.785081i
\(532\) −12.5156 + 21.6776i −0.542618 + 0.939842i
\(533\) −4.87708 8.44734i −0.211250 0.365895i
\(534\) −10.6921 2.02868i −0.462694 0.0877894i
\(535\) −12.7131 + 9.23662i −0.549636 + 0.399334i
\(536\) 6.31978 0.664236i 0.272973 0.0286906i
\(537\) −13.8063 18.1518i −0.595784 0.783306i
\(538\) −10.2458 23.0124i −0.441728 0.992137i
\(539\) 34.1765 7.26443i 1.47208 0.312901i
\(540\) 2.29657 4.66109i 0.0988287 0.200581i
\(541\) −22.8778 10.1858i −0.983592 0.437924i −0.149027 0.988833i \(-0.547614\pi\)
−0.834565 + 0.550910i \(0.814281\pi\)
\(542\) 3.36086 + 10.3437i 0.144361 + 0.444299i
\(543\) 33.6200 7.92058i 1.44277 0.339905i
\(544\) 0.370233 0.831557i 0.0158736 0.0356527i
\(545\) 1.74662 8.21719i 0.0748169 0.351986i
\(546\) 10.6419 1.35509i 0.455433 0.0579923i
\(547\) −35.4599 + 15.7878i −1.51616 + 0.675036i −0.985050 0.172269i \(-0.944890\pi\)
−0.531106 + 0.847305i \(0.678223\pi\)
\(548\) −3.05215 3.38976i −0.130382 0.144803i
\(549\) 32.4820 + 1.97910i 1.38630 + 0.0844659i
\(550\) 2.12657 + 2.92698i 0.0906774 + 0.124807i
\(551\) 0.487040 4.63387i 0.0207486 0.197410i
\(552\) 9.87096 4.65685i 0.420136 0.198209i
\(553\) 46.2586 + 26.7074i 1.96711 + 1.13571i
\(554\) 9.14050 + 6.64096i 0.388342 + 0.282147i
\(555\) 9.48787 8.92738i 0.402738 0.378946i
\(556\) −1.00223 0.325643i −0.0425038 0.0138103i
\(557\) −30.8934 −1.30900 −0.654499 0.756063i \(-0.727120\pi\)
−0.654499 + 0.756063i \(0.727120\pi\)
\(558\) −16.2496 + 3.86650i −0.687901 + 0.163682i
\(559\) −15.1081 −0.639003
\(560\) −3.88159 1.26121i −0.164027 0.0532957i
\(561\) 4.15422 3.90881i 0.175391 0.165030i
\(562\) 5.43069 + 3.94563i 0.229080 + 0.166436i
\(563\) −16.1560 9.32770i −0.680896 0.393116i 0.119296 0.992859i \(-0.461936\pi\)
−0.800193 + 0.599743i \(0.795269\pi\)
\(564\) 15.3654 7.24899i 0.647001 0.305237i
\(565\) 2.00601 19.0859i 0.0843934 0.802950i
\(566\) 8.72171 + 12.0044i 0.366601 + 0.504583i
\(567\) −8.24628 + 35.7946i −0.346311 + 1.50323i
\(568\) 1.81582 + 2.01668i 0.0761903 + 0.0846179i
\(569\) −32.4767 + 14.4596i −1.36149 + 0.606176i −0.951989 0.306132i \(-0.900965\pi\)
−0.409505 + 0.912308i \(0.634298\pi\)
\(570\) 10.5377 1.34181i 0.441374 0.0562021i
\(571\) −4.71064 + 22.1618i −0.197134 + 0.927443i 0.762673 + 0.646784i \(0.223886\pi\)
−0.959808 + 0.280659i \(0.909447\pi\)
\(572\) 2.23318 5.01581i 0.0933740 0.209722i
\(573\) −7.04625 + 1.66004i −0.294361 + 0.0693490i
\(574\) −8.10637 24.9488i −0.338353 1.04134i
\(575\) 5.75660 + 2.56300i 0.240067 + 0.106885i
\(576\) 2.79151 + 1.09885i 0.116313 + 0.0457856i
\(577\) −36.0102 + 7.65420i −1.49912 + 0.318649i −0.883140 0.469110i \(-0.844575\pi\)
−0.615984 + 0.787759i \(0.711241\pi\)
\(578\) 6.57752 + 14.7733i 0.273589 + 0.614490i
\(579\) −3.13493 4.12165i −0.130283 0.171290i
\(580\) 0.755558 0.0794124i 0.0313729 0.00329742i
\(581\) −23.9547 + 17.4041i −0.993810 + 0.722045i
\(582\) 21.2094 + 4.02417i 0.879158 + 0.166807i
\(583\) −19.0034 32.9149i −0.787040 1.36319i
\(584\) −5.42398 + 9.39460i −0.224446 + 0.388751i
\(585\) −3.19180 3.24648i −0.131965 0.134226i
\(586\) 3.57697 3.97262i 0.147763 0.164108i
\(587\) −5.36028 + 16.4972i −0.221242 + 0.680914i 0.777409 + 0.628995i \(0.216534\pi\)
−0.998651 + 0.0519183i \(0.983466\pi\)
\(588\) 16.6699 + 1.38321i 0.687453 + 0.0570424i
\(589\) −24.9213 23.3446i −1.02686 0.961898i
\(590\) 8.60154i 0.354120i
\(591\) 1.35969 3.24355i 0.0559302 0.133422i
\(592\) 5.58955 + 5.03285i 0.229729 + 0.206849i
\(593\) −9.32275 + 12.8317i −0.382839 + 0.526933i −0.956334 0.292276i \(-0.905587\pi\)
0.573495 + 0.819209i \(0.305587\pi\)
\(594\) 13.4706 + 13.1133i 0.552706 + 0.538046i
\(595\) −3.21734 + 1.85753i −0.131898 + 0.0761513i
\(596\) 23.3222 + 2.45126i 0.955315 + 0.100408i
\(597\) −12.3418 20.3334i −0.505117 0.832189i
\(598\) −0.999584 9.51041i −0.0408760 0.388910i
\(599\) 25.1003 22.6004i 1.02557 0.923426i 0.0284735 0.999595i \(-0.490935\pi\)
0.997095 + 0.0761685i \(0.0242687\pi\)
\(600\) 0.571231 + 1.63514i 0.0233204 + 0.0667545i
\(601\) −2.64159 12.4277i −0.107753 0.506937i −0.998613 0.0526588i \(-0.983230\pi\)
0.890860 0.454278i \(-0.150103\pi\)
\(602\) −39.7436 8.44777i −1.61983 0.344305i
\(603\) 15.8995 + 10.5183i 0.647476 + 0.428339i
\(604\) 1.22692 0.398651i 0.0499227 0.0162209i
\(605\) −1.98724 + 0.645693i −0.0807927 + 0.0262511i
\(606\) 12.1676 + 6.67355i 0.494276 + 0.271095i
\(607\) −30.1846 6.41593i −1.22515 0.260415i −0.450487 0.892783i \(-0.648750\pi\)
−0.774668 + 0.632368i \(0.782083\pi\)
\(608\) 1.27513 + 5.99902i 0.0517134 + 0.243293i
\(609\) −5.07007 + 1.77121i −0.205449 + 0.0717730i
\(610\) −8.06120 + 7.25834i −0.326389 + 0.293882i
\(611\) −1.55598 14.8042i −0.0629483 0.598913i
\(612\) 2.44357 1.21903i 0.0987753 0.0492763i
\(613\) 32.8955 + 3.45746i 1.32864 + 0.139646i 0.742107 0.670281i \(-0.233826\pi\)
0.586531 + 0.809927i \(0.300493\pi\)
\(614\) −0.325041 + 0.187663i −0.0131176 + 0.00757345i
\(615\) −6.34454 + 9.14790i −0.255837 + 0.368879i
\(616\) 8.67929 11.9460i 0.349699 0.481319i
\(617\) 12.0771 + 10.8743i 0.486206 + 0.437782i 0.875418 0.483366i \(-0.160586\pi\)
−0.389212 + 0.921148i \(0.627253\pi\)
\(618\) −26.9527 11.2985i −1.08420 0.454493i
\(619\) 15.9164i 0.639735i 0.947462 + 0.319868i \(0.103638\pi\)
−0.947462 + 0.319868i \(0.896362\pi\)
\(620\) 2.87835 4.76604i 0.115597 0.191409i
\(621\) 31.7383 + 8.04870i 1.27361 + 0.322983i
\(622\) 0.0963548 0.296550i 0.00386348 0.0118906i
\(623\) −17.1593 + 19.0573i −0.687471 + 0.763514i
\(624\) 1.71555 1.99147i 0.0686772 0.0797225i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −11.8153 20.4648i −0.472236 0.817936i
\(627\) −7.16419 + 37.7588i −0.286110 + 1.50794i
\(628\) 10.0608 7.30961i 0.401470 0.291685i
\(629\) 6.80894 0.715649i 0.271490 0.0285348i
\(630\) −6.58113 10.3250i −0.262198 0.411358i
\(631\) −9.57691 21.5101i −0.381251 0.856303i −0.997627 0.0688515i \(-0.978067\pi\)
0.616376 0.787452i \(-0.288600\pi\)
\(632\) 12.8015 2.72105i 0.509218 0.108238i
\(633\) −5.04768 1.51854i −0.200627 0.0603565i
\(634\) 3.73187 + 1.66153i 0.148211 + 0.0659879i
\(635\) −1.31116 4.03534i −0.0520318 0.160137i
\(636\) −4.17244 17.7105i −0.165448 0.702266i
\(637\) 5.96106 13.3888i 0.236186 0.530482i
\(638\) −0.571471 + 2.68856i −0.0226248 + 0.106441i
\(639\) 0.357003 + 8.13329i 0.0141228 + 0.321748i
\(640\) −0.913545 + 0.406737i −0.0361111 + 0.0160777i
\(641\) −14.0213 15.5722i −0.553806 0.615064i 0.399623 0.916679i \(-0.369141\pi\)
−0.953430 + 0.301615i \(0.902474\pi\)
\(642\) −0.596922 27.2114i −0.0235586 1.07395i
\(643\) 3.56059 + 4.90072i 0.140416 + 0.193266i 0.873433 0.486944i \(-0.161889\pi\)
−0.733017 + 0.680210i \(0.761889\pi\)
\(644\) 2.68828 25.5773i 0.105933 1.00789i
\(645\) 7.35726 + 15.5949i 0.289692 + 0.614049i
\(646\) 4.83469 + 2.79131i 0.190218 + 0.109823i
\(647\) 21.4776 + 15.6044i 0.844371 + 0.613471i 0.923588 0.383386i \(-0.125242\pi\)
−0.0792172 + 0.996857i \(0.525242\pi\)
\(648\) 4.36695 + 7.86955i 0.171550 + 0.309145i
\(649\) 29.5967 + 9.61657i 1.16177 + 0.377483i
\(650\) 1.51757 0.0595241
\(651\) −12.0792 + 37.4597i −0.473422 + 1.46816i
\(652\) −22.4119 −0.877719
\(653\) 11.4812 + 3.73046i 0.449293 + 0.145984i 0.524919 0.851152i \(-0.324096\pi\)
−0.0756261 + 0.997136i \(0.524096\pi\)
\(654\) 9.97103 + 10.5970i 0.389898 + 0.414377i
\(655\) −1.45636 1.05811i −0.0569046 0.0413436i
\(656\) −5.56636 3.21374i −0.217330 0.125475i
\(657\) −30.4803 + 11.4042i −1.18915 + 0.444920i
\(658\) 4.18465 39.8143i 0.163135 1.55212i
\(659\) −17.3549 23.8870i −0.676053 0.930507i 0.323826 0.946117i \(-0.395031\pi\)
−0.999878 + 0.0156102i \(0.995031\pi\)
\(660\) −6.26495 + 0.137431i −0.243863 + 0.00534950i
\(661\) −31.1022 34.5425i −1.20974 1.34355i −0.922648 0.385644i \(-0.873979\pi\)
−0.287088 0.957904i \(-0.592687\pi\)
\(662\) 12.2438 5.45127i 0.475867 0.211870i
\(663\) −0.302221 2.37345i −0.0117373 0.0921770i
\(664\) −1.50837 + 7.09634i −0.0585362 + 0.275391i
\(665\) 10.1811 22.8671i 0.394805 0.886746i
\(666\) 3.34043 + 22.3158i 0.129439 + 0.864720i
\(667\) 1.47935 + 4.55298i 0.0572808 + 0.176292i
\(668\) −4.82053 2.14624i −0.186512 0.0830404i
\(669\) −5.56777 + 18.5075i −0.215262 + 0.715540i
\(670\) −6.21573 + 1.32119i −0.240135 + 0.0510422i
\(671\) −15.9625 35.8524i −0.616226 1.38407i
\(672\) 5.62652 4.27954i 0.217048 0.165087i
\(673\) −25.8039 + 2.71210i −0.994669 + 0.104544i −0.587854 0.808967i \(-0.700027\pi\)
−0.406814 + 0.913511i \(0.633360\pi\)
\(674\) −21.8104 + 15.8462i −0.840105 + 0.610372i
\(675\) −1.79678 + 4.87561i −0.0691579 + 0.187662i
\(676\) 5.34849 + 9.26385i 0.205711 + 0.356302i
\(677\) −11.0710 + 19.1756i −0.425494 + 0.736977i −0.996466 0.0839919i \(-0.973233\pi\)
0.570972 + 0.820969i \(0.306566\pi\)
\(678\) 25.1839 + 21.6947i 0.967180 + 0.833180i
\(679\) 34.0379 37.8029i 1.30625 1.45074i
\(680\) −0.281284 + 0.865702i −0.0107867 + 0.0331982i
\(681\) 2.56473 30.9092i 0.0982808 1.18444i
\(682\) 13.1813 + 15.2325i 0.504738 + 0.583282i
\(683\) 2.20750i 0.0844677i 0.999108 + 0.0422338i \(0.0134474\pi\)
−0.999108 + 0.0422338i \(0.986553\pi\)
\(684\) −8.49198 + 16.3222i −0.324699 + 0.624095i
\(685\) 3.38976 + 3.05215i 0.129516 + 0.116617i
\(686\) 6.37504 8.77449i 0.243400 0.335012i
\(687\) −10.1429 7.03463i −0.386976 0.268388i
\(688\) −8.62164 + 4.97771i −0.328697 + 0.189773i
\(689\) −15.8549 1.66642i −0.604023 0.0634854i
\(690\) −9.33012 + 5.66314i −0.355191 + 0.215592i
\(691\) −5.20613 49.5330i −0.198050 1.88432i −0.417467 0.908692i \(-0.637082\pi\)
0.219417 0.975631i \(-0.429585\pi\)
\(692\) −4.49078 + 4.04351i −0.170714 + 0.153711i
\(693\) 42.8847 11.1014i 1.62905 0.421707i
\(694\) 5.75016 + 27.0524i 0.218273 + 1.02689i
\(695\) 1.03077 + 0.219098i 0.0390995 + 0.00831086i
\(696\) −0.632786 + 1.15374i −0.0239857 + 0.0437322i
\(697\) −5.56428 + 1.80794i −0.210762 + 0.0684807i
\(698\) 19.2633 6.25901i 0.729125 0.236907i
\(699\) 1.47649 2.69203i 0.0558459 0.101822i
\(700\) 3.99216 + 0.848560i 0.150890 + 0.0320726i
\(701\) 1.33306 + 6.27154i 0.0503489 + 0.236873i 0.996125 0.0879456i \(-0.0280302\pi\)
−0.945776 + 0.324818i \(0.894697\pi\)
\(702\) 7.77117 1.33812i 0.293304 0.0505042i
\(703\) −34.2809 + 30.8667i −1.29293 + 1.16416i
\(704\) −0.378178 3.59812i −0.0142531 0.135609i
\(705\) −14.5235 + 8.81540i −0.546987 + 0.332007i
\(706\) 16.6682 + 1.75190i 0.627317 + 0.0659337i
\(707\) 28.3197 16.3504i 1.06507 0.614919i
\(708\) 12.2421 + 8.49056i 0.460087 + 0.319095i
\(709\) 3.87884 5.33877i 0.145673 0.200502i −0.729945 0.683506i \(-0.760454\pi\)
0.875618 + 0.483004i \(0.160454\pi\)
\(710\) −2.01668 1.81582i −0.0756845 0.0681467i
\(711\) 34.8306 + 18.1213i 1.30625 + 0.679603i
\(712\) 6.28324i 0.235474i
\(713\) 33.1473 + 11.4971i 1.24138 + 0.430570i
\(714\) 0.532098 6.41264i 0.0199133 0.239987i
\(715\) −1.69665 + 5.22176i −0.0634513 + 0.195283i
\(716\) −8.81035 + 9.78489i −0.329258 + 0.365678i
\(717\) −6.84929 5.90034i −0.255791 0.220352i
\(718\) 3.54949 6.14789i 0.132466 0.229437i
\(719\) 7.51176 + 13.0108i 0.280141 + 0.485219i 0.971419 0.237370i \(-0.0762853\pi\)
−0.691278 + 0.722589i \(0.742952\pi\)
\(720\) −2.89108 0.801042i −0.107744 0.0298531i
\(721\) −55.7130 + 40.4779i −2.07486 + 1.50748i
\(722\) −18.5123 + 1.94572i −0.688955 + 0.0724121i
\(723\) −2.54898 + 1.93876i −0.0947977 + 0.0721032i
\(724\) −8.11110 18.2178i −0.301447 0.677060i
\(725\) −0.743119 + 0.157955i −0.0275987 + 0.00586629i
\(726\) 1.04262 3.46570i 0.0386951 0.128624i
\(727\) −4.39587 1.95717i −0.163034 0.0725874i 0.323597 0.946195i \(-0.395108\pi\)
−0.486631 + 0.873608i \(0.661774\pi\)
\(728\) −1.91397 5.89060i −0.0709365 0.218320i
\(729\) −4.90182 + 26.5513i −0.181549 + 0.983382i
\(730\) 4.41226 9.91010i 0.163305 0.366789i
\(731\) −1.88408 + 8.86392i −0.0696854 + 0.327844i
\(732\) −2.37323 18.6378i −0.0877171 0.688873i
\(733\) −1.31670 + 0.586235i −0.0486336 + 0.0216531i −0.430909 0.902395i \(-0.641807\pi\)
0.382276 + 0.924048i \(0.375140\pi\)
\(734\) 11.8670 + 13.1796i 0.438019 + 0.486469i
\(735\) −16.7231 + 0.366847i −0.616842 + 0.0135313i
\(736\) −3.70386 5.09792i −0.136526 0.187912i
\(737\) 2.40317 22.8646i 0.0885218 0.842229i
\(738\) −6.75705 18.0597i −0.248730 0.664788i
\(739\) 40.1286 + 23.1682i 1.47615 + 0.852258i 0.999638 0.0269081i \(-0.00856615\pi\)
0.476516 + 0.879166i \(0.341899\pi\)
\(740\) −6.08500 4.42101i −0.223689 0.162520i
\(741\) 11.0470 + 11.7406i 0.405824 + 0.431303i
\(742\) −40.7765 13.2491i −1.49695 0.486389i
\(743\) −1.55250 −0.0569556 −0.0284778 0.999594i \(-0.509066\pi\)
−0.0284778 + 0.999594i \(0.509066\pi\)
\(744\) 3.94204 + 8.80115i 0.144522 + 0.322666i
\(745\) −23.4507 −0.859166
\(746\) −18.7490 6.09192i −0.686450 0.223041i
\(747\) −17.0300 + 13.5528i −0.623096 + 0.495869i
\(748\) −2.66429 1.93572i −0.0974161 0.0707769i
\(749\) −55.5430 32.0677i −2.02950 1.17173i
\(750\) −0.739021 1.56648i −0.0269852 0.0571996i
\(751\) 2.22312 21.1516i 0.0811229 0.771833i −0.876031 0.482254i \(-0.839818\pi\)
0.957154 0.289579i \(-0.0935152\pi\)
\(752\) −5.76553 7.93557i −0.210247 0.289381i
\(753\) 0.321385 + 14.6507i 0.0117119 + 0.533902i
\(754\) 0.771461 + 0.856794i 0.0280949 + 0.0312026i
\(755\) −1.17853 + 0.524715i −0.0428911 + 0.0190963i
\(756\) 21.1913 + 0.825198i 0.770719 + 0.0300122i
\(757\) 1.50186 7.06571i 0.0545862 0.256808i −0.942390 0.334516i \(-0.891427\pi\)
0.996976 + 0.0777086i \(0.0247604\pi\)
\(758\) 5.96247 13.3919i 0.216567 0.486416i
\(759\) −9.05499 38.4351i −0.328675 1.39511i
\(760\) −1.89522 5.83287i −0.0687467 0.211581i
\(761\) −24.2538 10.7985i −0.879199 0.391445i −0.0830503 0.996545i \(-0.526466\pi\)
−0.796149 + 0.605101i \(0.793133\pi\)
\(762\) 7.03753 + 2.11716i 0.254943 + 0.0766967i
\(763\) 33.5372 7.12856i 1.21413 0.258071i
\(764\) 1.69997 + 3.81819i 0.0615026 + 0.138137i
\(765\) −2.30276 + 1.46777i −0.0832564 + 0.0530674i
\(766\) 20.2070 2.12384i 0.730108 0.0767375i
\(767\) 10.5605 7.67263i 0.381316 0.277042i
\(768\) 0.322871 1.70169i 0.0116506 0.0614045i
\(769\) −11.1980 19.3954i −0.403808 0.699417i 0.590374 0.807130i \(-0.298980\pi\)
−0.994182 + 0.107713i \(0.965647\pi\)
\(770\) −7.38304 + 12.7878i −0.266066 + 0.460841i
\(771\) −32.1494 + 37.3200i −1.15783 + 1.34405i
\(772\) −2.00053 + 2.22182i −0.0720007 + 0.0799649i
\(773\) 5.07522 15.6199i 0.182543 0.561809i −0.817355 0.576135i \(-0.804560\pi\)
0.999897 + 0.0143259i \(0.00456024\pi\)
\(774\) −29.4578 4.92250i −1.05884 0.176935i
\(775\) −2.36440 + 5.04080i −0.0849316 + 0.181071i
\(776\) 12.4637i 0.447421i
\(777\) 49.0359 + 20.5558i 1.75915 + 0.737434i
\(778\) 15.9994 + 14.4059i 0.573606 + 0.516477i
\(779\) 23.1705 31.8914i 0.830169 1.14263i
\(780\) −1.49799 + 2.15988i −0.0536367 + 0.0773362i
\(781\) 8.50267 4.90902i 0.304249 0.175658i
\(782\) −5.70443 0.599560i −0.203990 0.0214402i
\(783\) −3.66608 + 1.46410i −0.131015 + 0.0523227i
\(784\) −1.00948 9.60452i −0.0360527 0.343018i
\(785\) −9.24164 + 8.32121i −0.329848 + 0.296997i
\(786\) 2.94351 1.02831i 0.104992 0.0366784i
\(787\) 5.21614 + 24.5400i 0.185935 + 0.874756i 0.967881 + 0.251410i \(0.0808941\pi\)
−0.781946 + 0.623347i \(0.785773\pi\)
\(788\) −1.98618 0.422175i −0.0707547 0.0150394i
\(789\) 11.9340 + 6.54543i 0.424863 + 0.233023i
\(790\) −12.4470 + 4.04427i −0.442844 + 0.143889i
\(791\) 74.4918 24.2039i 2.64862 0.860590i
\(792\) 5.98852 9.05225i 0.212793 0.321658i
\(793\) −16.1020 3.42259i −0.571799 0.121540i
\(794\) 6.65129 + 31.2919i 0.236045 + 1.11051i
\(795\) 6.00083 + 17.1773i 0.212828 + 0.609217i
\(796\) −10.2054 + 9.18901i −0.361722 + 0.325696i
\(797\) 5.01908 + 47.7534i 0.177785 + 1.69151i 0.612125 + 0.790761i \(0.290315\pi\)
−0.434340 + 0.900749i \(0.643018\pi\)
\(798\) 22.4958 + 37.0622i 0.796343 + 1.31199i
\(799\) −8.87967 0.933291i −0.314140 0.0330175i
\(800\) 0.866025 0.500000i 0.0306186 0.0176777i
\(801\) −11.9865 + 14.5477i −0.423522 + 0.514018i
\(802\) −6.97950 + 9.60645i −0.246455 + 0.339216i
\(803\) 29.1664 + 26.2615i 1.02926 + 0.926750i
\(804\) 4.25515 10.1507i 0.150067 0.357987i
\(805\) 25.7181i 0.906445i
\(806\) 8.41897 0.717464i 0.296545 0.0252716i
\(807\) −43.4814 3.60793i −1.53062 0.127005i
\(808\) 2.47592 7.62009i 0.0871024 0.268074i
\(809\) −20.4160 + 22.6742i −0.717787 + 0.797184i −0.986101 0.166148i \(-0.946867\pi\)
0.268313 + 0.963332i \(0.413534\pi\)
\(810\) −5.16562 7.36997i −0.181501 0.258954i
\(811\) 5.64396 9.77563i 0.198186 0.343269i −0.749754 0.661717i \(-0.769828\pi\)
0.947940 + 0.318448i \(0.103162\pi\)
\(812\) 1.55034 + 2.68527i 0.0544064 + 0.0942346i
\(813\) 18.5076 + 3.51154i 0.649089 + 0.123155i
\(814\) 22.0152 15.9950i 0.771632 0.560623i
\(815\) 22.2892 2.34268i 0.780755 0.0820607i
\(816\) −0.954455 1.25487i −0.0334126 0.0439292i
\(817\) −24.8341 55.7783i −0.868836 1.95144i
\(818\) 19.5361 4.15252i 0.683063 0.145190i
\(819\) 6.80602 17.2899i 0.237822 0.604157i
\(820\) 5.87179 + 2.61429i 0.205052 + 0.0912949i
\(821\) −5.40345 16.6301i −0.188582 0.580394i 0.811410 0.584477i \(-0.198700\pi\)
−0.999992 + 0.00408290i \(0.998700\pi\)
\(822\) −7.69000 + 1.81170i −0.268220 + 0.0631903i
\(823\) 3.95567 8.88459i 0.137886 0.309697i −0.831383 0.555700i \(-0.812450\pi\)
0.969269 + 0.246002i \(0.0791171\pi\)
\(824\) −3.50812 + 16.5044i −0.122211 + 0.574958i
\(825\) 6.21627 0.791544i 0.216423 0.0275580i
\(826\) 32.0708 14.2789i 1.11589 0.496825i
\(827\) −29.6184 32.8946i −1.02993 1.14386i −0.989479 0.144675i \(-0.953786\pi\)
−0.0404533 0.999181i \(-0.512880\pi\)
\(828\) 1.14968 18.8691i 0.0399541 0.655748i
\(829\) −3.36160 4.62684i −0.116753 0.160697i 0.746641 0.665228i \(-0.231666\pi\)
−0.863394 + 0.504531i \(0.831666\pi\)
\(830\) 0.758341 7.21513i 0.0263224 0.250441i
\(831\) 17.6985 8.34966i 0.613953 0.289647i
\(832\) −1.31426 0.758786i −0.0455636 0.0263062i
\(833\) −7.11182 5.16704i −0.246410 0.179027i
\(834\) −1.32931 + 1.25078i −0.0460301 + 0.0433109i
\(835\) 5.01847 + 1.63060i 0.173671 + 0.0564292i
\(836\) 22.1890 0.767423
\(837\) −7.66284 + 27.8977i −0.264867 + 0.964285i
\(838\) −1.46396 −0.0505715
\(839\) −19.8627 6.45378i −0.685736 0.222809i −0.0546313 0.998507i \(-0.517398\pi\)
−0.631105 + 0.775697i \(0.717398\pi\)
\(840\) −5.14837 + 4.84423i −0.177636 + 0.167142i
\(841\) 22.9945 + 16.7065i 0.792915 + 0.576087i
\(842\) −3.44420 1.98851i −0.118695 0.0685286i
\(843\) 10.5153 4.96083i 0.362166 0.170860i
\(844\) −0.318111 + 3.02663i −0.0109498 + 0.104181i
\(845\) −6.28752 8.65404i −0.216297 0.297708i
\(846\) 1.78962 29.3723i 0.0615285 1.00984i
\(847\) −5.70635 6.33754i −0.196072 0.217761i
\(848\) −9.59687 + 4.27280i −0.329558 + 0.146729i
\(849\) 25.4948 3.24636i 0.874978 0.111415i
\(850\) 0.189252 0.890362i 0.00649130 0.0305392i
\(851\) 19.2776 43.2981i 0.660826 1.48424i
\(852\) 4.57503 1.07784i 0.156738 0.0369261i
\(853\) −8.55122 26.3179i −0.292788 0.901109i −0.983955 0.178414i \(-0.942903\pi\)
0.691167 0.722695i \(-0.257097\pi\)
\(854\) −40.4446 18.0071i −1.38399 0.616190i
\(855\) 6.73932 17.1204i 0.230480 0.585507i
\(856\) −15.3709 + 3.26718i −0.525366 + 0.111670i
\(857\) −1.91825 4.30847i −0.0655263 0.147174i 0.877814 0.479002i \(-0.159001\pi\)
−0.943340 + 0.331828i \(0.892335\pi\)
\(858\) −5.75711 7.56915i −0.196544 0.258407i
\(859\) 35.8092 3.76369i 1.22179 0.128416i 0.528413 0.848988i \(-0.322787\pi\)
0.693380 + 0.720572i \(0.256121\pi\)
\(860\) 8.05410 5.85164i 0.274642 0.199539i
\(861\) −44.6401 8.46980i −1.52133 0.288650i
\(862\) −14.7310 25.5148i −0.501739 0.869037i
\(863\) 20.7560 35.9505i 0.706543 1.22377i −0.259589 0.965719i \(-0.583587\pi\)
0.966132 0.258049i \(-0.0830797\pi\)
\(864\) 3.99386 3.32402i 0.135874 0.113085i
\(865\) 4.04351 4.49078i 0.137484 0.152691i
\(866\) −7.62214 + 23.4585i −0.259011 + 0.797153i
\(867\) 27.9138 + 2.31619i 0.948003 + 0.0786619i
\(868\) 22.5483 + 2.82014i 0.765340 + 0.0957219i
\(869\) 47.3499i 1.60624i
\(870\) 0.508722 1.21356i 0.0172473 0.0411435i
\(871\) −7.16656 6.45280i −0.242830 0.218645i
\(872\) 4.93785 6.79636i 0.167217 0.230154i
\(873\) 23.7770 28.8575i 0.804729 0.976677i
\(874\) 33.4690 19.3233i 1.13211 0.653621i
\(875\) −4.05899 0.426617i −0.137219 0.0144223i
\(876\) 9.74920 + 16.0620i 0.329395 + 0.542684i
\(877\) 4.58158 + 43.5909i 0.154709 + 1.47196i 0.746240 + 0.665677i \(0.231857\pi\)
−0.591531 + 0.806282i \(0.701476\pi\)
\(878\) −5.58671 + 5.03029i −0.188542 + 0.169764i
\(879\) −3.05363 8.74098i −0.102996 0.294826i
\(880\) 0.752212 + 3.53888i 0.0253571 + 0.119296i
\(881\) −26.9008 5.71795i −0.906312 0.192643i −0.268902 0.963167i \(-0.586661\pi\)
−0.637410 + 0.770525i \(0.719994\pi\)
\(882\) 15.9852 24.1633i 0.538251 0.813620i
\(883\) −7.88334 + 2.56145i −0.265296 + 0.0861998i −0.438644 0.898661i \(-0.644541\pi\)
0.173349 + 0.984860i \(0.444541\pi\)
\(884\) −1.31376 + 0.426868i −0.0441867 + 0.0143571i
\(885\) −13.0626 7.16439i −0.439094 0.240828i
\(886\) 21.5744 + 4.58578i 0.724806 + 0.154062i
\(887\) 1.79158 + 8.42873i 0.0601554 + 0.283009i 0.997936 0.0642201i \(-0.0204560\pi\)
−0.937780 + 0.347229i \(0.887123\pi\)
\(888\) 12.2987 4.29650i 0.412717 0.144181i
\(889\) 12.8692 11.5875i 0.431618 0.388631i
\(890\) −0.656777 6.24882i −0.0220152 0.209461i
\(891\) 31.1343 9.53455i 1.04304 0.319419i
\(892\) 11.0972 + 1.16637i 0.371562 + 0.0390528i
\(893\) 52.0988 30.0792i 1.74342 1.00656i
\(894\) 23.1481 33.3761i 0.774188 1.11627i
\(895\) 7.73929 10.6522i 0.258696 0.356064i
\(896\) −3.03303 2.73096i −0.101327 0.0912349i
\(897\) −15.2754 6.40341i −0.510030 0.213804i
\(898\) 10.8891i 0.363374i
\(899\) −4.04789 + 1.22760i −0.135005 + 0.0409429i
\(900\) 2.95897 + 0.494454i 0.0986324 + 0.0164818i
\(901\) −2.95491 + 9.09427i −0.0984423 + 0.302974i
\(902\) −15.5601 + 17.2813i −0.518095 + 0.575403i
\(903\) −45.9323 + 53.3196i −1.52853 + 1.77437i
\(904\) 9.59551 16.6199i 0.319142 0.552770i
\(905\) 9.97095 + 17.2702i 0.331445 + 0.574080i
\(906\) 0.416523 2.19529i 0.0138381 0.0729335i
\(907\) 31.3940 22.8091i 1.04242 0.757363i 0.0716646 0.997429i \(-0.477169\pi\)
0.970757 + 0.240065i \(0.0771689\pi\)
\(908\) −17.8086 + 1.87176i −0.591001 + 0.0621167i
\(909\) 20.2693 12.9196i 0.672292 0.428517i
\(910\) 2.51922 + 5.65826i 0.0835114 + 0.187570i
\(911\) 19.4928 4.14333i 0.645826 0.137275i 0.126658 0.991947i \(-0.459575\pi\)
0.519168 + 0.854672i \(0.326242\pi\)
\(912\) 10.1724 + 3.06025i 0.336842 + 0.101335i
\(913\) 23.9785 + 10.6759i 0.793572 + 0.353321i
\(914\) −7.12283 21.9218i −0.235602 0.725109i
\(915\) 4.30841 + 18.2876i 0.142432 + 0.604570i
\(916\) −2.89864 + 6.51045i −0.0957738 + 0.215111i
\(917\) 1.52754 7.18652i 0.0504439 0.237320i
\(918\) 0.184042 4.72623i 0.00607429 0.155989i
\(919\) −53.7487 + 23.9305i −1.77301 + 0.789393i −0.788272 + 0.615327i \(0.789024\pi\)
−0.984734 + 0.174066i \(0.944309\pi\)
\(920\) 4.21645 + 4.68284i 0.139012 + 0.154389i
\(921\) 0.0142571 + 0.649926i 0.000469787 + 0.0214158i
\(922\) 14.3480 + 19.7483i 0.472525 + 0.650375i
\(923\) 0.430474 4.09568i 0.0141692 0.134811i
\(924\) −10.9125 23.1307i −0.358993 0.760945i
\(925\) 6.51379 + 3.76074i 0.214172 + 0.123652i
\(926\) 7.72064 + 5.60937i 0.253716 + 0.184335i
\(927\) −39.6078 + 31.5205i −1.30089 + 1.03527i
\(928\) 0.722537 + 0.234766i 0.0237184 + 0.00770659i
\(929\) 23.8745 0.783297 0.391648 0.920115i \(-0.371905\pi\)
0.391648 + 0.920115i \(0.371905\pi\)
\(930\) −4.84042 8.34088i −0.158724 0.273508i
\(931\) 59.2294 1.94117
\(932\) −1.68590 0.547783i −0.0552236 0.0179432i
\(933\) −0.370094 0.393330i −0.0121163 0.0128770i
\(934\) −7.10642 5.16312i −0.232529 0.168942i
\(935\) 2.85203 + 1.64662i 0.0932714 + 0.0538503i
\(936\) −1.59539 4.26403i −0.0521468 0.139374i
\(937\) −2.12343 + 20.2031i −0.0693694 + 0.660006i 0.903490 + 0.428609i \(0.140996\pi\)
−0.972859 + 0.231397i \(0.925670\pi\)
\(938\) −15.2444 20.9821i −0.497747 0.685091i
\(939\) −40.9197 + 0.897634i −1.33536 + 0.0292932i
\(940\) 6.56344 + 7.28944i 0.214076 + 0.237755i
\(941\) 3.40473 1.51588i 0.110991 0.0494164i −0.350490 0.936567i \(-0.613985\pi\)
0.461481 + 0.887150i \(0.347318\pi\)
\(942\) −2.72075 21.3670i −0.0886469 0.696174i
\(943\) −8.42083 + 39.6169i −0.274220 + 1.29010i
\(944\) 3.49856 7.85790i 0.113868 0.255753i
\(945\) −21.1614 + 1.39441i −0.688381 + 0.0453602i
\(946\) 11.1302 + 34.2553i 0.361874 + 1.11373i
\(947\) 54.2192 + 24.1399i 1.76189 + 0.784443i 0.988633 + 0.150346i \(0.0480388\pi\)
0.773254 + 0.634097i \(0.218628\pi\)
\(948\) 6.53038 21.7072i 0.212097 0.705018i
\(949\) 16.1028 3.42276i 0.522719 0.111107i
\(950\) 2.49453 + 5.60282i 0.0809334 + 0.181779i
\(951\) 5.63161 4.28341i 0.182617 0.138899i
\(952\) −3.69471 + 0.388330i −0.119746 + 0.0125858i
\(953\) 20.2339 14.7008i 0.655439 0.476205i −0.209680 0.977770i \(-0.567242\pi\)
0.865120 + 0.501565i \(0.167242\pi\)
\(954\) −30.3710 8.41502i −0.983298 0.272446i
\(955\) −2.08976 3.61957i −0.0676231 0.117127i
\(956\) −2.60971 + 4.52014i −0.0844039 + 0.146192i
\(957\) 3.60694 + 3.10721i 0.116596 + 0.100442i
\(958\) 11.7165 13.0125i 0.378543 0.420414i
\(959\) −5.75284 + 17.7054i −0.185769 + 0.571737i
\(960\) −0.143227 + 1.72612i −0.00462264 + 0.0557102i
\(961\) −10.7337 + 29.0824i −0.346249 + 0.938143i
\(962\) 11.4144i 0.368014i
\(963\) −41.8213 21.7584i −1.34767 0.701155i
\(964\) 1.37405 + 1.23720i 0.0442553 + 0.0398477i
\(965\) 1.75733 2.41876i 0.0565705 0.0778626i
\(966\) −36.6033 25.3863i −1.17769 0.816791i
\(967\) 8.24683 4.76131i 0.265200 0.153113i −0.361504 0.932370i \(-0.617737\pi\)
0.626704 + 0.779257i \(0.284403\pi\)
\(968\) −2.07806 0.218413i −0.0667913 0.00702005i
\(969\) 8.26589 5.01718i 0.265539 0.161175i
\(970\) 1.30281 + 12.3954i 0.0418308 + 0.397993i
\(971\) −34.7046 + 31.2482i −1.11372 + 1.00280i −0.113767 + 0.993507i \(0.536292\pi\)
−0.999957 + 0.00929403i \(0.997042\pi\)
\(972\) 15.5883 0.0770860i 0.499994 0.00247253i
\(973\) 0.894215 + 4.20695i 0.0286672 + 0.134869i
\(974\) −21.5193 4.57406i −0.689522 0.146562i
\(975\) 1.26402 2.30463i 0.0404809 0.0738073i
\(976\) −10.3165 + 3.35204i −0.330223 + 0.107296i
\(977\) 10.8165 3.51450i 0.346051 0.112439i −0.130835 0.991404i \(-0.541766\pi\)
0.476885 + 0.878965i \(0.341766\pi\)
\(978\) −18.6674 + 34.0355i −0.596916 + 1.08833i
\(979\) 22.2356 + 4.72633i 0.710654 + 0.151054i
\(980\) 2.00789 + 9.44638i 0.0641397 + 0.301754i
\(981\) 24.3981 6.31583i 0.778971 0.201649i
\(982\) 1.73437 1.56163i 0.0553459 0.0498336i
\(983\) 1.90111 + 18.0878i 0.0606359 + 0.576912i 0.982088 + 0.188421i \(0.0603369\pi\)
−0.921453 + 0.388491i \(0.872996\pi\)
\(984\) −9.51681 + 5.77646i −0.303385 + 0.184147i
\(985\) 2.01943 + 0.212250i 0.0643443 + 0.00676286i
\(986\) 0.598889 0.345769i 0.0190725 0.0110115i
\(987\) −56.9778 39.5171i −1.81362 1.25784i
\(988\) 5.47071 7.52979i 0.174047 0.239555i
\(989\) 46.6196 + 41.9765i 1.48242 + 1.33477i
\(990\) −5.00950 + 9.62863i −0.159212 + 0.306018i
\(991\) 5.47667i 0.173972i −0.996210 0.0869861i \(-0.972276\pi\)
0.996210 0.0869861i \(-0.0277236\pi\)
\(992\) 4.56803 3.18326i 0.145035 0.101069i
\(993\) 1.91960 23.1342i 0.0609166 0.734143i
\(994\) 3.42254 10.5335i 0.108557 0.334103i
\(995\) 9.18901 10.2054i 0.291311 0.323534i
\(996\) 9.52037 + 8.20135i 0.301665 + 0.259870i
\(997\) −24.0548 + 41.6642i −0.761825 + 1.31952i 0.180084 + 0.983651i \(0.442363\pi\)
−0.941909 + 0.335868i \(0.890970\pi\)
\(998\) 1.89657 + 3.28495i 0.0600348 + 0.103983i
\(999\) 36.6718 + 13.5144i 1.16024 + 0.427577i
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 930.2.br.b.761.2 yes 176
3.2 odd 2 inner 930.2.br.b.761.18 yes 176
31.11 odd 30 inner 930.2.br.b.11.18 yes 176
93.11 even 30 inner 930.2.br.b.11.2 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.br.b.11.2 176 93.11 even 30 inner
930.2.br.b.11.18 yes 176 31.11 odd 30 inner
930.2.br.b.761.2 yes 176 1.1 even 1 trivial
930.2.br.b.761.18 yes 176 3.2 odd 2 inner