Properties

Label 552.2.bf.a.5.16
Level $552$
Weight $2$
Character 552.5
Analytic conductor $4.408$
Analytic rank $0$
Dimension $920$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [552,2,Mod(5,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 11, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bf (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(920\)
Relative dimension: \(92\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.16
Character \(\chi\) \(=\) 552.5
Dual form 552.2.bf.a.221.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.24176 - 0.676788i) q^{2} +(0.894449 + 1.48323i) q^{3} +(1.08392 + 1.68081i) q^{4} +(3.02191 + 0.434486i) q^{5} +(-0.106857 - 2.44716i) q^{6} +(-3.87309 + 1.76878i) q^{7} +(-0.208404 - 2.82074i) q^{8} +(-1.39992 + 2.65334i) q^{9} +O(q^{10})\) \(q+(-1.24176 - 0.676788i) q^{2} +(0.894449 + 1.48323i) q^{3} +(1.08392 + 1.68081i) q^{4} +(3.02191 + 0.434486i) q^{5} +(-0.106857 - 2.44716i) q^{6} +(-3.87309 + 1.76878i) q^{7} +(-0.208404 - 2.82074i) q^{8} +(-1.39992 + 2.65334i) q^{9} +(-3.45842 - 2.58472i) q^{10} +(-0.167451 - 0.570286i) q^{11} +(-1.52352 + 3.11109i) q^{12} +(4.46026 + 2.03693i) q^{13} +(6.00653 + 0.424868i) q^{14} +(2.05851 + 4.87081i) q^{15} +(-1.65026 + 3.64371i) q^{16} +(0.392608 - 0.252314i) q^{17} +(3.53411 - 2.34735i) q^{18} +(2.03368 + 1.30697i) q^{19} +(2.54521 + 5.55021i) q^{20} +(-6.08779 - 4.16259i) q^{21} +(-0.178030 + 0.821485i) q^{22} +(-3.68054 + 3.07467i) q^{23} +(3.99739 - 2.83212i) q^{24} +(4.14572 + 1.21729i) q^{25} +(-4.15998 - 5.54802i) q^{26} +(-5.18766 + 0.296878i) q^{27} +(-7.17109 - 4.59273i) q^{28} +(-1.44560 + 0.929029i) q^{29} +(0.740342 - 7.44153i) q^{30} +(-4.52451 - 5.22157i) q^{31} +(4.51524 - 3.40773i) q^{32} +(0.696087 - 0.758460i) q^{33} +(-0.658286 + 0.0475997i) q^{34} +(-12.4727 + 3.66230i) q^{35} +(-5.97716 + 0.522992i) q^{36} +(0.600406 + 4.17591i) q^{37} +(-1.64079 - 2.99930i) q^{38} +(0.968243 + 8.43750i) q^{39} +(0.595791 - 8.61458i) q^{40} +(2.90419 + 0.417560i) q^{41} +(4.74236 + 9.28906i) q^{42} +(7.08259 - 8.17375i) q^{43} +(0.777041 - 0.899595i) q^{44} +(-5.38328 + 7.40992i) q^{45} +(6.65124 - 1.32704i) q^{46} +9.08946i q^{47} +(-6.88052 + 0.811414i) q^{48} +(7.28823 - 8.41107i) q^{49} +(-4.32412 - 4.31736i) q^{50} +(0.725406 + 0.356645i) q^{51} +(1.41084 + 9.70471i) q^{52} +(-9.37520 + 4.28151i) q^{53} +(6.64274 + 3.14230i) q^{54} +(-0.258242 - 1.79611i) q^{55} +(5.79644 + 10.5564i) q^{56} +(-0.119505 + 4.18542i) q^{57} +(2.42383 - 0.175264i) q^{58} +(-1.16089 + 2.54199i) q^{59} +(-5.95566 + 8.73951i) q^{60} +(7.02422 + 8.10638i) q^{61} +(2.08445 + 9.54605i) q^{62} +(0.728844 - 12.7528i) q^{63} +(-7.91314 + 1.17571i) q^{64} +(12.5935 + 8.09335i) q^{65} +(-1.37769 + 0.470718i) q^{66} +(4.86038 + 1.42713i) q^{67} +(0.849646 + 0.386413i) q^{68} +(-7.85249 - 2.70894i) q^{69} +(17.9666 + 3.89366i) q^{70} +(4.14560 - 14.1186i) q^{71} +(7.77613 + 3.39585i) q^{72} +(-3.94909 - 2.53792i) q^{73} +(2.08065 - 5.59181i) q^{74} +(1.90261 + 7.23785i) q^{75} +(0.00757157 + 4.83487i) q^{76} +(1.65727 + 1.91259i) q^{77} +(4.50808 - 11.1326i) q^{78} +(-3.05279 - 1.39416i) q^{79} +(-6.57007 + 10.2940i) q^{80} +(-5.08044 - 7.42894i) q^{81} +(-3.32370 - 2.48403i) q^{82} +(13.6513 - 1.96277i) q^{83} +(0.397880 - 14.7443i) q^{84} +(1.29605 - 0.591888i) q^{85} +(-14.3267 + 5.35638i) q^{86} +(-2.67097 - 1.31318i) q^{87} +(-1.57373 + 0.591186i) q^{88} +(1.33899 - 1.54527i) q^{89} +(11.6997 - 5.55797i) q^{90} -20.8779 q^{91} +(-9.15734 - 2.85362i) q^{92} +(3.69782 - 11.3813i) q^{93} +(6.15164 - 11.2869i) q^{94} +(5.57774 + 4.83314i) q^{95} +(9.09309 + 3.64908i) q^{96} +(6.34937 + 0.912901i) q^{97} +(-14.7427 + 5.51190i) q^{98} +(1.74758 + 0.354051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 920 q - 22 q^{4} - 2 q^{6} - 44 q^{7} - 18 q^{9} - 22 q^{10} - 12 q^{12} - 22 q^{15} - 30 q^{16} - 10 q^{18} - 14 q^{24} + 40 q^{25} - 22 q^{28} - 11 q^{30} - 20 q^{31} - 22 q^{33} - 18 q^{36} - 42 q^{39} - 176 q^{40} - 11 q^{42} + 90 q^{46} - 64 q^{48} + 32 q^{49} - 90 q^{52} + 21 q^{54} - 76 q^{55} - 22 q^{57} + 76 q^{58} - 11 q^{60} - 22 q^{63} - 28 q^{64} - 44 q^{66} - 116 q^{70} - 79 q^{72} - 36 q^{73} - 22 q^{76} - 134 q^{78} - 44 q^{79} - 34 q^{81} - 40 q^{82} - 165 q^{84} - 18 q^{87} - 22 q^{88} - 198 q^{90} + 88 q^{94} - 231 q^{96} - 44 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{1}{22}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24176 0.676788i −0.878054 0.478562i
\(3\) 0.894449 + 1.48323i 0.516410 + 0.856341i
\(4\) 1.08392 + 1.68081i 0.541958 + 0.840406i
\(5\) 3.02191 + 0.434486i 1.35144 + 0.194308i 0.779714 0.626136i \(-0.215365\pi\)
0.571727 + 0.820444i \(0.306274\pi\)
\(6\) −0.106857 2.44716i −0.0436242 0.999048i
\(7\) −3.87309 + 1.76878i −1.46389 + 0.668537i −0.978592 0.205811i \(-0.934017\pi\)
−0.485300 + 0.874348i \(0.661290\pi\)
\(8\) −0.208404 2.82074i −0.0736820 0.997282i
\(9\) −1.39992 + 2.65334i −0.466641 + 0.884447i
\(10\) −3.45842 2.58472i −1.09365 0.817361i
\(11\) −0.167451 0.570286i −0.0504884 0.171948i 0.930389 0.366573i \(-0.119469\pi\)
−0.980878 + 0.194625i \(0.937651\pi\)
\(12\) −1.52352 + 3.11109i −0.439802 + 0.898095i
\(13\) 4.46026 + 2.03693i 1.23705 + 0.564943i 0.923124 0.384503i \(-0.125627\pi\)
0.313929 + 0.949446i \(0.398355\pi\)
\(14\) 6.00653 + 0.424868i 1.60531 + 0.113551i
\(15\) 2.05851 + 4.87081i 0.531504 + 1.25764i
\(16\) −1.65026 + 3.64371i −0.412564 + 0.910929i
\(17\) 0.392608 0.252314i 0.0952214 0.0611951i −0.492164 0.870503i \(-0.663794\pi\)
0.587385 + 0.809308i \(0.300157\pi\)
\(18\) 3.53411 2.34735i 0.832998 0.553276i
\(19\) 2.03368 + 1.30697i 0.466558 + 0.299839i 0.752718 0.658343i \(-0.228742\pi\)
−0.286160 + 0.958182i \(0.592379\pi\)
\(20\) 2.54521 + 5.55021i 0.569126 + 1.24107i
\(21\) −6.08779 4.16259i −1.32846 0.908351i
\(22\) −0.178030 + 0.821485i −0.0379560 + 0.175141i
\(23\) −3.68054 + 3.07467i −0.767446 + 0.641113i
\(24\) 3.99739 2.83212i 0.815963 0.578104i
\(25\) 4.14572 + 1.21729i 0.829144 + 0.243459i
\(26\) −4.15998 5.54802i −0.815839 1.08806i
\(27\) −5.18766 + 0.296878i −0.998367 + 0.0571341i
\(28\) −7.17109 4.59273i −1.35521 0.867944i
\(29\) −1.44560 + 0.929029i −0.268441 + 0.172516i −0.667936 0.744219i \(-0.732822\pi\)
0.399495 + 0.916735i \(0.369185\pi\)
\(30\) 0.740342 7.44153i 0.135167 1.35863i
\(31\) −4.52451 5.22157i −0.812626 0.937821i 0.186376 0.982478i \(-0.440326\pi\)
−0.999002 + 0.0446577i \(0.985780\pi\)
\(32\) 4.51524 3.40773i 0.798189 0.602407i
\(33\) 0.696087 0.758460i 0.121173 0.132031i
\(34\) −0.658286 + 0.0475997i −0.112895 + 0.00816328i
\(35\) −12.4727 + 3.66230i −2.10826 + 0.619042i
\(36\) −5.97716 + 0.522992i −0.996194 + 0.0871653i
\(37\) 0.600406 + 4.17591i 0.0987061 + 0.686516i 0.977750 + 0.209775i \(0.0672730\pi\)
−0.879044 + 0.476741i \(0.841818\pi\)
\(38\) −1.64079 2.99930i −0.266172 0.486551i
\(39\) 0.968243 + 8.43750i 0.155043 + 1.35108i
\(40\) 0.595791 8.61458i 0.0942028 1.36208i
\(41\) 2.90419 + 0.417560i 0.453559 + 0.0652119i 0.365309 0.930886i \(-0.380963\pi\)
0.0882500 + 0.996098i \(0.471873\pi\)
\(42\) 4.74236 + 9.28906i 0.731762 + 1.43333i
\(43\) 7.08259 8.17375i 1.08009 1.24648i 0.112578 0.993643i \(-0.464089\pi\)
0.967508 0.252842i \(-0.0813653\pi\)
\(44\) 0.777041 0.899595i 0.117143 0.135619i
\(45\) −5.38328 + 7.40992i −0.802492 + 1.10461i
\(46\) 6.65124 1.32704i 0.980671 0.195662i
\(47\) 9.08946i 1.32583i 0.748693 + 0.662917i \(0.230682\pi\)
−0.748693 + 0.662917i \(0.769318\pi\)
\(48\) −6.88052 + 0.811414i −0.993118 + 0.117118i
\(49\) 7.28823 8.41107i 1.04118 1.20158i
\(50\) −4.32412 4.31736i −0.611523 0.610566i
\(51\) 0.725406 + 0.356645i 0.101577 + 0.0499402i
\(52\) 1.41084 + 9.70471i 0.195649 + 1.34580i
\(53\) −9.37520 + 4.28151i −1.28778 + 0.588110i −0.937321 0.348467i \(-0.886702\pi\)
−0.350461 + 0.936577i \(0.613975\pi\)
\(54\) 6.64274 + 3.14230i 0.903962 + 0.427613i
\(55\) −0.258242 1.79611i −0.0348213 0.242187i
\(56\) 5.79644 + 10.5564i 0.774582 + 1.41065i
\(57\) −0.119505 + 4.18542i −0.0158288 + 0.554373i
\(58\) 2.42383 0.175264i 0.318265 0.0230133i
\(59\) −1.16089 + 2.54199i −0.151135 + 0.330939i −0.970023 0.243015i \(-0.921864\pi\)
0.818888 + 0.573953i \(0.194591\pi\)
\(60\) −5.95566 + 8.73951i −0.768873 + 1.12827i
\(61\) 7.02422 + 8.10638i 0.899359 + 1.03792i 0.999079 + 0.0429000i \(0.0136597\pi\)
−0.0997204 + 0.995015i \(0.531795\pi\)
\(62\) 2.08445 + 9.54605i 0.264725 + 1.21235i
\(63\) 0.728844 12.7528i 0.0918257 1.60670i
\(64\) −7.91314 + 1.17571i −0.989142 + 0.146964i
\(65\) 12.5935 + 8.09335i 1.56203 + 1.00386i
\(66\) −1.37769 + 0.470718i −0.169581 + 0.0579414i
\(67\) 4.86038 + 1.42713i 0.593789 + 0.174352i 0.564801 0.825227i \(-0.308953\pi\)
0.0289888 + 0.999580i \(0.490771\pi\)
\(68\) 0.849646 + 0.386413i 0.103035 + 0.0468595i
\(69\) −7.85249 2.70894i −0.945329 0.326118i
\(70\) 17.9666 + 3.89366i 2.14742 + 0.465382i
\(71\) 4.14560 14.1186i 0.491993 1.67557i −0.221700 0.975115i \(-0.571161\pi\)
0.713693 0.700459i \(-0.247021\pi\)
\(72\) 7.77613 + 3.39585i 0.916426 + 0.400204i
\(73\) −3.94909 2.53792i −0.462206 0.297041i 0.288738 0.957408i \(-0.406764\pi\)
−0.750943 + 0.660367i \(0.770401\pi\)
\(74\) 2.08065 5.59181i 0.241871 0.650035i
\(75\) 1.90261 + 7.23785i 0.219695 + 0.835755i
\(76\) 0.00757157 + 4.83487i 0.000868518 + 0.554598i
\(77\) 1.65727 + 1.91259i 0.188863 + 0.217959i
\(78\) 4.50808 11.1326i 0.510440 1.26052i
\(79\) −3.05279 1.39416i −0.343466 0.156856i 0.236212 0.971702i \(-0.424094\pi\)
−0.579677 + 0.814846i \(0.696821\pi\)
\(80\) −6.57007 + 10.2940i −0.734556 + 1.15090i
\(81\) −5.08044 7.42894i −0.564493 0.825438i
\(82\) −3.32370 2.48403i −0.367041 0.274315i
\(83\) 13.6513 1.96277i 1.49843 0.215442i 0.656211 0.754578i \(-0.272158\pi\)
0.842219 + 0.539136i \(0.181249\pi\)
\(84\) 0.397880 14.7443i 0.0434123 1.60874i
\(85\) 1.29605 0.591888i 0.140577 0.0641993i
\(86\) −14.3267 + 5.35638i −1.54489 + 0.577594i
\(87\) −2.67097 1.31318i −0.286358 0.140788i
\(88\) −1.57373 + 0.591186i −0.167760 + 0.0630206i
\(89\) 1.33899 1.54527i 0.141932 0.163799i −0.680333 0.732903i \(-0.738165\pi\)
0.822265 + 0.569105i \(0.192710\pi\)
\(90\) 11.6997 5.55797i 1.23325 0.585862i
\(91\) −20.8779 −2.18860
\(92\) −9.15734 2.85362i −0.954719 0.297510i
\(93\) 3.69782 11.3813i 0.383446 1.18019i
\(94\) 6.15164 11.2869i 0.634493 1.16415i
\(95\) 5.57774 + 4.83314i 0.572265 + 0.495870i
\(96\) 9.09309 + 3.64908i 0.928059 + 0.372433i
\(97\) 6.34937 + 0.912901i 0.644680 + 0.0926910i 0.456897 0.889519i \(-0.348961\pi\)
0.187783 + 0.982211i \(0.439870\pi\)
\(98\) −14.7427 + 5.51190i −1.48924 + 0.556786i
\(99\) 1.74758 + 0.354051i 0.175639 + 0.0355835i
\(100\) 2.44757 + 8.28762i 0.244757 + 0.828762i
\(101\) −1.48496 10.3281i −0.147759 1.02769i −0.919877 0.392207i \(-0.871712\pi\)
0.772118 0.635479i \(-0.219197\pi\)
\(102\) −0.659405 0.933812i −0.0652908 0.0924612i
\(103\) 4.68892 + 15.9690i 0.462013 + 1.57347i 0.780254 + 0.625463i \(0.215090\pi\)
−0.318240 + 0.948010i \(0.603092\pi\)
\(104\) 4.81611 13.0057i 0.472259 1.27532i
\(105\) −16.5882 15.2240i −1.61884 1.48571i
\(106\) 14.5394 + 1.02843i 1.41219 + 0.0998904i
\(107\) 7.67831 6.65329i 0.742290 0.643198i −0.199308 0.979937i \(-0.563869\pi\)
0.941598 + 0.336739i \(0.109324\pi\)
\(108\) −6.12198 8.39770i −0.589088 0.808069i
\(109\) 9.18804 5.90480i 0.880055 0.565577i −0.0207580 0.999785i \(-0.506608\pi\)
0.900813 + 0.434208i \(0.142972\pi\)
\(110\) −0.894913 + 2.40511i −0.0853266 + 0.229318i
\(111\) −5.65679 + 4.62568i −0.536919 + 0.439050i
\(112\) −0.0533436 17.0314i −0.00504049 1.60931i
\(113\) −1.20335 0.353336i −0.113202 0.0332391i 0.224641 0.974442i \(-0.427879\pi\)
−0.337843 + 0.941203i \(0.609697\pi\)
\(114\) 2.98104 5.11639i 0.279200 0.479194i
\(115\) −12.4582 + 7.69225i −1.16173 + 0.717306i
\(116\) −3.12843 1.42279i −0.290467 0.132103i
\(117\) −11.6487 + 8.98304i −1.07692 + 0.830482i
\(118\) 3.16193 2.37085i 0.291079 0.218255i
\(119\) −1.07432 + 1.67167i −0.0984826 + 0.153242i
\(120\) 13.3103 6.82161i 1.21506 0.622725i
\(121\) 8.95660 5.75606i 0.814237 0.523278i
\(122\) −3.23606 14.8201i −0.292979 1.34174i
\(123\) 1.97832 + 4.68106i 0.178379 + 0.422077i
\(124\) 3.87228 13.2646i 0.347741 1.19120i
\(125\) −1.88637 0.861476i −0.168722 0.0770528i
\(126\) −9.53599 + 15.3426i −0.849533 + 1.36683i
\(127\) −14.4536 + 4.24397i −1.28255 + 0.376591i −0.850842 0.525421i \(-0.823908\pi\)
−0.431710 + 0.902012i \(0.642090\pi\)
\(128\) 10.6219 + 3.89557i 0.938851 + 0.344323i
\(129\) 18.4585 + 3.19409i 1.62518 + 0.281224i
\(130\) −10.1606 18.5731i −0.891140 1.62897i
\(131\) 4.58119 + 10.0314i 0.400260 + 0.876447i 0.997244 + 0.0741939i \(0.0236384\pi\)
−0.596984 + 0.802253i \(0.703634\pi\)
\(132\) 2.02933 + 0.347885i 0.176630 + 0.0302795i
\(133\) −10.1884 1.46487i −0.883443 0.127020i
\(134\) −5.06953 5.06160i −0.437941 0.437255i
\(135\) −15.8057 1.35683i −1.36033 0.116777i
\(136\) −0.793532 1.05486i −0.0680448 0.0904536i
\(137\) −1.38651 −0.118457 −0.0592286 0.998244i \(-0.518864\pi\)
−0.0592286 + 0.998244i \(0.518864\pi\)
\(138\) 7.91750 + 8.67832i 0.673982 + 0.738748i
\(139\) 4.97150i 0.421677i −0.977521 0.210838i \(-0.932381\pi\)
0.977521 0.210838i \(-0.0676194\pi\)
\(140\) −19.6750 16.9946i −1.66284 1.43630i
\(141\) −13.4817 + 8.13006i −1.13537 + 0.684675i
\(142\) −14.7032 + 14.7262i −1.23386 + 1.23580i
\(143\) 0.414758 2.88471i 0.0346838 0.241231i
\(144\) −7.35779 9.47961i −0.613149 0.789967i
\(145\) −4.77212 + 2.17935i −0.396303 + 0.180985i
\(146\) 3.18616 + 5.82418i 0.263689 + 0.482012i
\(147\) 18.9945 + 3.28683i 1.56664 + 0.271093i
\(148\) −6.36813 + 5.53550i −0.523457 + 0.455016i
\(149\) −2.55929 8.71615i −0.209666 0.714055i −0.995427 0.0955255i \(-0.969547\pi\)
0.785761 0.618530i \(-0.212271\pi\)
\(150\) 2.53591 10.2753i 0.207056 0.838975i
\(151\) 6.44186 14.1057i 0.524231 1.14791i −0.443582 0.896234i \(-0.646292\pi\)
0.967813 0.251672i \(-0.0809803\pi\)
\(152\) 3.26278 6.00885i 0.264647 0.487382i
\(153\) 0.119854 + 1.39494i 0.00968964 + 0.112774i
\(154\) −0.763503 3.49658i −0.0615248 0.281763i
\(155\) −11.4040 17.7450i −0.915991 1.42531i
\(156\) −13.1324 + 10.7730i −1.05143 + 0.862528i
\(157\) −10.6420 6.83919i −0.849323 0.545827i 0.0420404 0.999116i \(-0.486614\pi\)
−0.891364 + 0.453289i \(0.850251\pi\)
\(158\) 2.84727 + 3.79730i 0.226516 + 0.302097i
\(159\) −14.7361 10.0759i −1.16865 0.799075i
\(160\) 15.1253 8.33606i 1.19576 0.659023i
\(161\) 8.81666 18.4186i 0.694850 1.45159i
\(162\) 1.28084 + 12.6633i 0.100633 + 0.994924i
\(163\) 1.61442 5.49820i 0.126451 0.430652i −0.871794 0.489873i \(-0.837043\pi\)
0.998245 + 0.0592203i \(0.0188615\pi\)
\(164\) 2.44606 + 5.33400i 0.191005 + 0.416515i
\(165\) 2.43305 1.98956i 0.189413 0.154887i
\(166\) −18.2800 6.80179i −1.41880 0.527922i
\(167\) 11.7294 + 18.2513i 0.907648 + 1.41233i 0.911033 + 0.412334i \(0.135286\pi\)
−0.00338471 + 0.999994i \(0.501077\pi\)
\(168\) −10.4729 + 18.0396i −0.807998 + 1.39178i
\(169\) 7.23162 + 8.34573i 0.556278 + 0.641979i
\(170\) −2.00997 0.142174i −0.154157 0.0109042i
\(171\) −6.31482 + 3.56639i −0.482906 + 0.272729i
\(172\) 21.4155 + 3.04486i 1.63291 + 0.232168i
\(173\) 8.50004 2.49584i 0.646246 0.189755i 0.0578466 0.998325i \(-0.481577\pi\)
0.588399 + 0.808571i \(0.299758\pi\)
\(174\) 2.42795 + 3.43833i 0.184063 + 0.260659i
\(175\) −18.2099 + 2.61819i −1.37654 + 0.197916i
\(176\) 2.35430 + 0.330974i 0.177462 + 0.0249481i
\(177\) −4.80870 + 0.551821i −0.361444 + 0.0414774i
\(178\) −2.70852 + 1.01264i −0.203012 + 0.0759007i
\(179\) 1.47627 10.2677i 0.110342 0.767444i −0.857246 0.514908i \(-0.827826\pi\)
0.967587 0.252536i \(-0.0812647\pi\)
\(180\) −18.2897 1.01655i −1.36323 0.0757695i
\(181\) 14.4217 16.6436i 1.07196 1.23711i 0.101757 0.994809i \(-0.467554\pi\)
0.970202 0.242297i \(-0.0779009\pi\)
\(182\) 25.9252 + 14.1299i 1.92171 + 1.04738i
\(183\) −5.74079 + 17.6692i −0.424372 + 1.30615i
\(184\) 9.43989 + 9.74107i 0.695918 + 0.718122i
\(185\) 12.8801i 0.946965i
\(186\) −12.2945 + 11.6302i −0.901478 + 0.852764i
\(187\) −0.209634 0.181649i −0.0153299 0.0132835i
\(188\) −15.2777 + 9.85221i −1.11424 + 0.718546i
\(189\) 19.5672 10.3257i 1.42330 0.751083i
\(190\) −3.65518 9.77654i −0.265175 0.709264i
\(191\) 4.45588 + 9.75701i 0.322416 + 0.705992i 0.999554 0.0298636i \(-0.00950730\pi\)
−0.677138 + 0.735856i \(0.736780\pi\)
\(192\) −8.82174 10.6854i −0.636654 0.771149i
\(193\) −1.74084 12.1078i −0.125308 0.871539i −0.951390 0.307988i \(-0.900344\pi\)
0.826082 0.563550i \(-0.190565\pi\)
\(194\) −7.26652 5.43078i −0.521706 0.389907i
\(195\) −0.740028 + 25.9181i −0.0529945 + 1.85603i
\(196\) 22.0373 + 3.13326i 1.57409 + 0.223804i
\(197\) −0.905398 + 1.98254i −0.0645069 + 0.141250i −0.939140 0.343536i \(-0.888375\pi\)
0.874633 + 0.484786i \(0.161103\pi\)
\(198\) −1.93045 1.62239i −0.137191 0.115298i
\(199\) 9.39846 8.14381i 0.666239 0.577300i −0.254693 0.967022i \(-0.581974\pi\)
0.920932 + 0.389722i \(0.127429\pi\)
\(200\) 2.56968 11.9477i 0.181704 0.844829i
\(201\) 2.23059 + 8.48554i 0.157334 + 0.598524i
\(202\) −5.14599 + 13.8300i −0.362071 + 0.973075i
\(203\) 3.95568 6.15516i 0.277634 0.432008i
\(204\) 0.186826 + 1.60584i 0.0130805 + 0.112432i
\(205\) 8.59479 + 2.52366i 0.600286 + 0.176260i
\(206\) 4.98514 23.0030i 0.347331 1.60270i
\(207\) −3.00568 14.0700i −0.208909 0.977935i
\(208\) −14.7826 + 12.8904i −1.02499 + 0.893792i
\(209\) 0.404803 1.37863i 0.0280008 0.0953619i
\(210\) 10.2950 + 30.1312i 0.710424 + 2.07925i
\(211\) 1.35317 2.10557i 0.0931561 0.144954i −0.791548 0.611107i \(-0.790724\pi\)
0.884704 + 0.466154i \(0.154361\pi\)
\(212\) −17.3583 11.1171i −1.19217 0.763529i
\(213\) 24.6492 6.47953i 1.68893 0.443970i
\(214\) −14.0375 + 3.06517i −0.959581 + 0.209531i
\(215\) 24.9544 21.6231i 1.70187 1.47468i
\(216\) 1.91855 + 14.5712i 0.130541 + 0.991443i
\(217\) 26.7597 + 12.2207i 1.81656 + 0.829597i
\(218\) −15.4056 + 1.11396i −1.04340 + 0.0754466i
\(219\) 0.232059 8.12743i 0.0156811 0.549201i
\(220\) 2.73901 2.38089i 0.184664 0.160519i
\(221\) 2.26508 0.325669i 0.152366 0.0219069i
\(222\) 10.1550 1.91551i 0.681556 0.128561i
\(223\) −0.0488193 0.106899i −0.00326918 0.00715851i 0.907990 0.418991i \(-0.137616\pi\)
−0.911260 + 0.411833i \(0.864889\pi\)
\(224\) −11.4604 + 21.1849i −0.765731 + 1.41548i
\(225\) −9.03358 + 9.29589i −0.602238 + 0.619726i
\(226\) 1.25514 + 1.25317i 0.0834904 + 0.0833598i
\(227\) 14.7691 + 12.7975i 0.980260 + 0.849400i 0.988600 0.150565i \(-0.0481093\pi\)
−0.00834021 + 0.999965i \(0.502655\pi\)
\(228\) −7.16444 + 4.33578i −0.474476 + 0.287144i
\(229\) 1.73478 0.114638 0.0573188 0.998356i \(-0.481745\pi\)
0.0573188 + 0.998356i \(0.481745\pi\)
\(230\) 20.6760 1.12034i 1.36334 0.0738733i
\(231\) −1.35446 + 4.16881i −0.0891169 + 0.274288i
\(232\) 2.92182 + 3.88404i 0.191827 + 0.255000i
\(233\) −18.3139 15.8690i −1.19978 1.03962i −0.998190 0.0601460i \(-0.980843\pi\)
−0.201591 0.979470i \(-0.564611\pi\)
\(234\) 20.5444 3.27105i 1.34303 0.213835i
\(235\) −3.94924 + 27.4676i −0.257620 + 1.79179i
\(236\) −5.53091 + 0.804067i −0.360031 + 0.0523403i
\(237\) −0.662706 5.77499i −0.0430474 0.375126i
\(238\) 2.46541 1.34872i 0.159809 0.0874247i
\(239\) −29.8179 + 4.28716i −1.92876 + 0.277313i −0.996438 0.0843248i \(-0.973127\pi\)
−0.932319 + 0.361638i \(0.882218\pi\)
\(240\) −21.1449 0.537466i −1.36490 0.0346933i
\(241\) −4.87906 16.6166i −0.314288 1.07037i −0.953514 0.301348i \(-0.902563\pi\)
0.639226 0.769019i \(-0.279255\pi\)
\(242\) −15.0175 + 1.08590i −0.965364 + 0.0698040i
\(243\) 6.47461 14.1802i 0.415346 0.909663i
\(244\) −6.01164 + 20.5930i −0.384856 + 1.31833i
\(245\) 25.6789 22.2509i 1.64056 1.42156i
\(246\) 0.711501 7.15163i 0.0453637 0.455972i
\(247\) 6.40853 + 9.97187i 0.407765 + 0.634495i
\(248\) −13.7857 + 13.8507i −0.875396 + 0.879518i
\(249\) 15.1217 + 18.4924i 0.958296 + 1.17191i
\(250\) 1.75937 + 2.34642i 0.111273 + 0.148400i
\(251\) −2.71816 + 9.25720i −0.171569 + 0.584309i 0.828148 + 0.560509i \(0.189395\pi\)
−0.999717 + 0.0237997i \(0.992424\pi\)
\(252\) 22.2251 12.5979i 1.40005 0.793593i
\(253\) 2.36975 + 1.58410i 0.148985 + 0.0995918i
\(254\) 20.8202 + 4.51208i 1.30637 + 0.283113i
\(255\) 2.03716 + 1.39293i 0.127572 + 0.0872285i
\(256\) −10.5533 12.0261i −0.659582 0.751633i
\(257\) 3.04998 4.74587i 0.190253 0.296039i −0.733003 0.680226i \(-0.761882\pi\)
0.923255 + 0.384187i \(0.125518\pi\)
\(258\) −20.7593 16.4588i −1.29242 1.02468i
\(259\) −9.71171 15.1117i −0.603456 0.938996i
\(260\) 0.0468867 + 29.9398i 0.00290779 + 1.85679i
\(261\) −0.441308 5.13623i −0.0273163 0.317925i
\(262\) 1.10042 15.5570i 0.0679841 0.961117i
\(263\) 9.77161 21.3968i 0.602543 1.31939i −0.325016 0.945709i \(-0.605370\pi\)
0.927559 0.373677i \(-0.121903\pi\)
\(264\) −2.28448 1.80541i −0.140600 0.111115i
\(265\) −30.1913 + 8.86496i −1.85464 + 0.544570i
\(266\) 11.6601 + 8.71437i 0.714924 + 0.534313i
\(267\) 3.48965 + 0.603853i 0.213563 + 0.0369552i
\(268\) 2.86949 + 9.71627i 0.175282 + 0.593516i
\(269\) −3.83024 8.38706i −0.233534 0.511368i 0.756191 0.654351i \(-0.227058\pi\)
−0.989725 + 0.142983i \(0.954331\pi\)
\(270\) 18.7085 + 12.3819i 1.13856 + 0.753541i
\(271\) −0.952885 + 6.62746i −0.0578836 + 0.402590i 0.940195 + 0.340636i \(0.110642\pi\)
−0.998079 + 0.0619539i \(0.980267\pi\)
\(272\) 0.271456 + 1.84693i 0.0164594 + 0.111987i
\(273\) −18.6742 30.9666i −1.13021 1.87419i
\(274\) 1.72170 + 0.938371i 0.104012 + 0.0566891i
\(275\) 2.56808i 0.154861i
\(276\) −3.95822 16.1348i −0.238257 0.971202i
\(277\) 23.3913i 1.40544i −0.711464 0.702722i \(-0.751968\pi\)
0.711464 0.702722i \(-0.248032\pi\)
\(278\) −3.36465 + 6.17338i −0.201798 + 0.370255i
\(279\) 20.1886 4.69529i 1.20866 0.281100i
\(280\) 12.9298 + 34.4189i 0.772701 + 2.05692i
\(281\) −1.11918 + 7.78404i −0.0667644 + 0.464357i 0.928823 + 0.370523i \(0.120821\pi\)
−0.995588 + 0.0938342i \(0.970088\pi\)
\(282\) 22.2433 0.971273i 1.32457 0.0578384i
\(283\) −0.319776 0.700211i −0.0190087 0.0416232i 0.899890 0.436118i \(-0.143647\pi\)
−0.918898 + 0.394495i \(0.870920\pi\)
\(284\) 28.2242 8.33542i 1.67480 0.494616i
\(285\) −2.17964 + 12.5961i −0.129111 + 0.746126i
\(286\) −2.46737 + 3.30140i −0.145898 + 0.195216i
\(287\) −11.9868 + 3.51964i −0.707557 + 0.207757i
\(288\) 2.72089 + 16.7510i 0.160330 + 0.987063i
\(289\) −6.97158 + 15.2656i −0.410093 + 0.897978i
\(290\) 7.40077 + 0.523489i 0.434588 + 0.0307403i
\(291\) 4.32515 + 10.2341i 0.253544 + 0.599933i
\(292\) −0.0147028 9.38856i −0.000860416 0.549424i
\(293\) 13.4877 + 20.9872i 0.787958 + 1.22609i 0.970074 + 0.242810i \(0.0780692\pi\)
−0.182115 + 0.983277i \(0.558294\pi\)
\(294\) −21.3620 16.9367i −1.24586 0.987767i
\(295\) −4.61256 + 7.17728i −0.268554 + 0.417878i
\(296\) 11.6540 2.56387i 0.677377 0.149022i
\(297\) 1.03799 + 2.90874i 0.0602300 + 0.168782i
\(298\) −2.72097 + 12.5554i −0.157622 + 0.727317i
\(299\) −22.6791 + 6.21681i −1.31156 + 0.359528i
\(300\) −10.1032 + 11.0431i −0.583308 + 0.637577i
\(301\) −12.9740 + 44.1853i −0.747807 + 2.54680i
\(302\) −17.5458 + 13.1561i −1.00965 + 0.757046i
\(303\) 13.9907 11.4405i 0.803745 0.657240i
\(304\) −8.11830 + 5.25332i −0.465617 + 0.301298i
\(305\) 17.7045 + 27.5487i 1.01376 + 1.57743i
\(306\) 0.795251 1.81329i 0.0454615 0.103659i
\(307\) −14.6529 + 12.6968i −0.836285 + 0.724645i −0.963638 0.267213i \(-0.913897\pi\)
0.127353 + 0.991857i \(0.459352\pi\)
\(308\) −1.41836 + 4.85863i −0.0808187 + 0.276846i
\(309\) −19.4917 + 21.2382i −1.10884 + 1.20820i
\(310\) 2.15139 + 29.7530i 0.122191 + 1.68986i
\(311\) 5.10858 + 17.3982i 0.289681 + 0.986563i 0.967823 + 0.251632i \(0.0809673\pi\)
−0.678142 + 0.734931i \(0.737215\pi\)
\(312\) 23.5982 4.48957i 1.33599 0.254172i
\(313\) −25.0920 + 3.60769i −1.41829 + 0.203919i −0.808430 0.588593i \(-0.799682\pi\)
−0.609857 + 0.792512i \(0.708773\pi\)
\(314\) 8.58607 + 15.6950i 0.484540 + 0.885719i
\(315\) 7.74341 38.2212i 0.436292 2.15352i
\(316\) −0.965641 6.64232i −0.0543215 0.373660i
\(317\) −2.10501 + 14.6407i −0.118229 + 0.822303i 0.841275 + 0.540608i \(0.181806\pi\)
−0.959504 + 0.281695i \(0.909103\pi\)
\(318\) 11.4793 + 22.4851i 0.643729 + 1.26090i
\(319\) 0.771879 + 0.668837i 0.0432169 + 0.0374477i
\(320\) −24.4236 + 0.114745i −1.36532 + 0.00641446i
\(321\) 16.7362 + 5.43764i 0.934123 + 0.303499i
\(322\) −23.4136 + 16.9044i −1.30479 + 0.942043i
\(323\) 1.12820 0.0627749
\(324\) 6.97988 16.5916i 0.387771 0.921756i
\(325\) 16.0114 + 13.8740i 0.888155 + 0.769590i
\(326\) −5.72583 + 5.73480i −0.317124 + 0.317621i
\(327\) 16.9764 + 8.34641i 0.938796 + 0.461557i
\(328\) 0.572581 8.27899i 0.0316155 0.457131i
\(329\) −16.0773 35.2043i −0.886369 1.94088i
\(330\) −4.36777 + 0.823885i −0.240438 + 0.0453534i
\(331\) 20.5997 2.96179i 1.13226 0.162795i 0.449393 0.893334i \(-0.351640\pi\)
0.682870 + 0.730540i \(0.260731\pi\)
\(332\) 18.0959 + 20.8179i 0.993144 + 1.14253i
\(333\) −11.9206 4.25287i −0.653247 0.233056i
\(334\) −2.21278 30.6020i −0.121078 1.67447i
\(335\) 14.0676 + 6.42444i 0.768593 + 0.351005i
\(336\) 25.2137 15.3128i 1.37552 0.835383i
\(337\) 1.94219 1.68292i 0.105798 0.0916743i −0.600356 0.799733i \(-0.704974\pi\)
0.706153 + 0.708059i \(0.250429\pi\)
\(338\) −3.33161 15.2576i −0.181216 0.829906i
\(339\) −0.552260 2.10089i −0.0299946 0.114104i
\(340\) 2.39966 + 1.53687i 0.130140 + 0.0833483i
\(341\) −2.22015 + 3.45462i −0.120228 + 0.187078i
\(342\) 10.2552 0.154795i 0.554535 0.00837037i
\(343\) −4.95359 + 16.8704i −0.267469 + 0.910916i
\(344\) −24.5321 18.2747i −1.32268 0.985306i
\(345\) −22.5526 11.5980i −1.21419 0.624414i
\(346\) −12.2441 2.65351i −0.658248 0.142653i
\(347\) 4.25331 + 1.24889i 0.228330 + 0.0670437i 0.393896 0.919155i \(-0.371127\pi\)
−0.165566 + 0.986199i \(0.552945\pi\)
\(348\) −0.687902 5.91278i −0.0368754 0.316958i
\(349\) −1.60816 + 2.50234i −0.0860826 + 0.133947i −0.881625 0.471951i \(-0.843550\pi\)
0.795542 + 0.605898i \(0.207186\pi\)
\(350\) 24.3842 + 9.07309i 1.30339 + 0.484977i
\(351\) −23.7430 9.24277i −1.26731 0.493342i
\(352\) −2.69946 2.00435i −0.143882 0.106832i
\(353\) −16.5685 + 14.3567i −0.881851 + 0.764128i −0.972780 0.231729i \(-0.925562\pi\)
0.0909294 + 0.995857i \(0.471016\pi\)
\(354\) 6.34470 + 2.56925i 0.337217 + 0.136554i
\(355\) 18.6620 40.8641i 0.990476 2.16884i
\(356\) 4.04866 + 0.575640i 0.214579 + 0.0305088i
\(357\) −3.44039 0.0982320i −0.182085 0.00519899i
\(358\) −8.78223 + 11.7509i −0.464155 + 0.621052i
\(359\) −3.70150 25.7445i −0.195358 1.35874i −0.817541 0.575871i \(-0.804663\pi\)
0.622183 0.782872i \(-0.286246\pi\)
\(360\) 22.0234 + 13.6406i 1.16073 + 0.718921i
\(361\) −5.46520 11.9671i −0.287642 0.629848i
\(362\) −29.1724 + 10.9068i −1.53327 + 0.573248i
\(363\) 16.5488 + 8.13617i 0.868585 + 0.427038i
\(364\) −22.6299 35.0918i −1.18613 1.83931i
\(365\) −10.8311 9.38521i −0.566926 0.491244i
\(366\) 19.0870 18.0556i 0.997694 0.943781i
\(367\) 16.4732i 0.859896i −0.902854 0.429948i \(-0.858532\pi\)
0.902854 0.429948i \(-0.141468\pi\)
\(368\) −5.12939 18.4848i −0.267388 0.963589i
\(369\) −5.17357 + 7.12126i −0.269325 + 0.370718i
\(370\) 8.71711 15.9940i 0.453181 0.831486i
\(371\) 28.7379 33.1654i 1.49200 1.72186i
\(372\) 23.1379 6.12103i 1.19965 0.317361i
\(373\) −1.76173 + 12.2531i −0.0912188 + 0.634441i 0.892003 + 0.452029i \(0.149300\pi\)
−0.983222 + 0.182412i \(0.941610\pi\)
\(374\) 0.137376 + 0.367441i 0.00710355 + 0.0189999i
\(375\) −0.409497 3.56846i −0.0211464 0.184275i
\(376\) 25.6390 1.89428i 1.32223 0.0976902i
\(377\) −8.34010 + 1.19913i −0.429537 + 0.0617581i
\(378\) −31.2860 0.420871i −1.60918 0.0216473i
\(379\) −18.9470 + 5.56333i −0.973240 + 0.285769i −0.729431 0.684054i \(-0.760215\pi\)
−0.243809 + 0.969823i \(0.578397\pi\)
\(380\) −2.07780 + 14.6139i −0.106589 + 0.749675i
\(381\) −19.2228 17.6420i −0.984814 0.903827i
\(382\) 1.07032 15.1315i 0.0547623 0.774195i
\(383\) 18.3774 + 21.2086i 0.939040 + 1.08371i 0.996351 + 0.0853540i \(0.0272021\pi\)
−0.0573102 + 0.998356i \(0.518252\pi\)
\(384\) 3.72272 + 19.2391i 0.189974 + 0.981789i
\(385\) 4.17712 + 6.49973i 0.212886 + 0.331257i
\(386\) −6.03272 + 16.2131i −0.307057 + 0.825226i
\(387\) 11.7727 + 30.2351i 0.598438 + 1.53694i
\(388\) 5.34776 + 11.6616i 0.271491 + 0.592028i
\(389\) −8.13084 + 27.6911i −0.412250 + 1.40400i 0.447959 + 0.894054i \(0.352151\pi\)
−0.860209 + 0.509941i \(0.829667\pi\)
\(390\) 18.4600 31.6831i 0.934758 1.60434i
\(391\) −0.669228 + 2.13579i −0.0338443 + 0.108012i
\(392\) −25.2443 18.8053i −1.27503 0.949811i
\(393\) −10.7812 + 15.7675i −0.543839 + 0.795366i
\(394\) 2.46605 1.84907i 0.124238 0.0931550i
\(395\) −8.61952 5.53943i −0.433695 0.278719i
\(396\) 1.29914 + 3.32112i 0.0652841 + 0.166892i
\(397\) 15.3600 + 23.9005i 0.770894 + 1.19953i 0.975351 + 0.220659i \(0.0708207\pi\)
−0.204457 + 0.978875i \(0.565543\pi\)
\(398\) −17.1822 + 3.75186i −0.861268 + 0.188064i
\(399\) −6.94025 16.4219i −0.347447 0.822123i
\(400\) −11.2770 + 13.0970i −0.563848 + 0.654849i
\(401\) 4.11835 9.01793i 0.205661 0.450334i −0.778493 0.627654i \(-0.784015\pi\)
0.984153 + 0.177320i \(0.0567427\pi\)
\(402\) 2.97306 12.0466i 0.148283 0.600830i
\(403\) −9.54452 32.5056i −0.475446 1.61922i
\(404\) 15.7500 13.6907i 0.783594 0.681139i
\(405\) −12.1249 24.6570i −0.602490 1.22522i
\(406\) −9.07773 + 4.96605i −0.450520 + 0.246461i
\(407\) 2.28093 1.04166i 0.113061 0.0516334i
\(408\) 0.854823 2.12051i 0.0423201 0.104981i
\(409\) −1.01452 + 7.05611i −0.0501646 + 0.348902i 0.949245 + 0.314538i \(0.101850\pi\)
−0.999409 + 0.0343640i \(0.989059\pi\)
\(410\) −8.96465 8.95062i −0.442733 0.442040i
\(411\) −1.24016 2.05650i −0.0611725 0.101440i
\(412\) −21.7585 + 25.1903i −1.07196 + 1.24103i
\(413\) 11.8987i 0.585498i
\(414\) −5.79011 + 19.5058i −0.284568 + 0.958656i
\(415\) 42.1060 2.06690
\(416\) 27.0804 6.00212i 1.32773 0.294278i
\(417\) 7.37385 4.44675i 0.361099 0.217758i
\(418\) −1.43571 + 1.43796i −0.0702228 + 0.0703328i
\(419\) 16.3225 + 2.34682i 0.797405 + 0.114650i 0.528961 0.848646i \(-0.322582\pi\)
0.268444 + 0.963295i \(0.413491\pi\)
\(420\) 7.60855 44.3832i 0.371259 2.16568i
\(421\) 1.67974 + 3.67811i 0.0818653 + 0.179260i 0.946138 0.323763i \(-0.104948\pi\)
−0.864273 + 0.503024i \(0.832221\pi\)
\(422\) −3.10533 + 1.69880i −0.151165 + 0.0826962i
\(423\) −24.1174 12.7245i −1.17263 0.618688i
\(424\) 14.0308 + 25.5527i 0.681398 + 1.24095i
\(425\) 1.93478 0.568103i 0.0938507 0.0275571i
\(426\) −34.9935 8.63627i −1.69544 0.418429i
\(427\) −41.5439 18.9724i −2.01045 0.918141i
\(428\) 19.5056 + 5.69419i 0.942837 + 0.275239i
\(429\) 4.64966 1.96504i 0.224488 0.0948732i
\(430\) −45.6215 + 9.96176i −2.20006 + 0.480399i
\(431\) 16.3842 10.5295i 0.789197 0.507186i −0.0828773 0.996560i \(-0.526411\pi\)
0.872074 + 0.489374i \(0.162775\pi\)
\(432\) 7.47924 19.3923i 0.359845 0.933012i
\(433\) −0.348921 + 0.542931i −0.0167681 + 0.0260916i −0.849536 0.527530i \(-0.823118\pi\)
0.832768 + 0.553622i \(0.186755\pi\)
\(434\) −24.9581 33.2858i −1.19803 1.59777i
\(435\) −7.50089 5.12881i −0.359640 0.245908i
\(436\) 19.8839 + 9.04307i 0.952266 + 0.433085i
\(437\) −11.5035 + 1.44255i −0.550289 + 0.0690066i
\(438\) −5.78871 + 9.93523i −0.276595 + 0.474724i
\(439\) −2.65750 0.780311i −0.126835 0.0372422i 0.217699 0.976016i \(-0.430145\pi\)
−0.344534 + 0.938774i \(0.611963\pi\)
\(440\) −5.01254 + 1.10275i −0.238963 + 0.0525715i
\(441\) 12.1145 + 31.1130i 0.576880 + 1.48157i
\(442\) −3.03308 1.12858i −0.144269 0.0536809i
\(443\) 3.17588 2.04101i 0.150891 0.0969715i −0.463017 0.886349i \(-0.653233\pi\)
0.613908 + 0.789378i \(0.289597\pi\)
\(444\) −13.9064 4.49416i −0.659967 0.213283i
\(445\) 4.71770 4.08791i 0.223640 0.193786i
\(446\) −0.0117266 + 0.165783i −0.000555269 + 0.00785006i
\(447\) 10.6389 11.5922i 0.503201 0.548291i
\(448\) 28.5687 18.5502i 1.34975 0.876417i
\(449\) −1.96253 6.68377i −0.0926177 0.315427i 0.900134 0.435614i \(-0.143469\pi\)
−0.992751 + 0.120187i \(0.961651\pi\)
\(450\) 17.5088 5.42941i 0.825375 0.255945i
\(451\) −0.248182 1.72614i −0.0116864 0.0812808i
\(452\) −0.710440 2.40559i −0.0334163 0.113150i
\(453\) 26.6839 3.06210i 1.25372 0.143870i
\(454\) −9.67842 25.8869i −0.454231 1.21493i
\(455\) −63.0912 9.07114i −2.95776 0.425262i
\(456\) 11.8309 0.535169i 0.554032 0.0250616i
\(457\) 5.35599 + 4.64099i 0.250543 + 0.217096i 0.771073 0.636747i \(-0.219720\pi\)
−0.520530 + 0.853843i \(0.674266\pi\)
\(458\) −2.15418 1.17408i −0.100658 0.0548612i
\(459\) −1.96181 + 1.42548i −0.0915695 + 0.0665355i
\(460\) −26.4328 12.6021i −1.23244 0.587577i
\(461\) −1.01502 −0.0472743 −0.0236372 0.999721i \(-0.507525\pi\)
−0.0236372 + 0.999721i \(0.507525\pi\)
\(462\) 4.50331 4.25996i 0.209513 0.198191i
\(463\) −5.75490 + 6.64151i −0.267453 + 0.308657i −0.873551 0.486733i \(-0.838188\pi\)
0.606098 + 0.795390i \(0.292734\pi\)
\(464\) −0.999511 6.80048i −0.0464011 0.315704i
\(465\) 16.1195 32.7867i 0.747524 1.52044i
\(466\) 12.0014 + 32.1001i 0.555952 + 1.48701i
\(467\) −21.3896 + 9.76831i −0.989794 + 0.452024i −0.843449 0.537210i \(-0.819478\pi\)
−0.146345 + 0.989234i \(0.546751\pi\)
\(468\) −27.7250 9.84239i −1.28159 0.454965i
\(469\) −21.3490 + 3.06952i −0.985804 + 0.141737i
\(470\) 23.4937 31.4352i 1.08368 1.45000i
\(471\) 0.625352 21.9018i 0.0288147 1.00918i
\(472\) 7.41222 + 2.74480i 0.341175 + 0.126340i
\(473\) −5.84736 2.67040i −0.268862 0.122785i
\(474\) −3.08552 + 7.61963i −0.141723 + 0.349981i
\(475\) 6.84010 + 7.89390i 0.313845 + 0.362197i
\(476\) −3.97424 + 0.00622378i −0.182159 + 0.000285267i
\(477\) 1.76424 30.8694i 0.0807789 1.41341i
\(478\) 39.9280 + 14.8568i 1.82626 + 0.679533i
\(479\) −1.73129 1.11263i −0.0791048 0.0508375i 0.500491 0.865742i \(-0.333153\pi\)
−0.579595 + 0.814904i \(0.696789\pi\)
\(480\) 25.8930 + 14.9780i 1.18185 + 0.683650i
\(481\) −5.82808 + 19.8486i −0.265738 + 0.905020i
\(482\) −5.18729 + 23.9358i −0.236275 + 1.09025i
\(483\) 35.2050 3.39737i 1.60188 0.154586i
\(484\) 19.3830 + 8.81528i 0.881048 + 0.400695i
\(485\) 18.7906 + 5.51742i 0.853237 + 0.250533i
\(486\) −17.6369 + 13.2265i −0.800026 + 0.599965i
\(487\) −6.92995 4.45361i −0.314026 0.201812i 0.374128 0.927377i \(-0.377942\pi\)
−0.688154 + 0.725565i \(0.741579\pi\)
\(488\) 21.4021 21.5029i 0.968828 0.973390i
\(489\) 9.59909 2.52331i 0.434086 0.114108i
\(490\) −46.9461 + 10.2510i −2.12081 + 0.463093i
\(491\) −24.8652 28.6960i −1.12215 1.29503i −0.950794 0.309823i \(-0.899730\pi\)
−0.171358 0.985209i \(-0.554815\pi\)
\(492\) −5.72365 + 8.39905i −0.258042 + 0.378658i
\(493\) −0.333146 + 0.729488i −0.0150041 + 0.0328545i
\(494\) −1.20899 16.7198i −0.0543949 0.752261i
\(495\) 5.12721 + 1.82921i 0.230451 + 0.0822169i
\(496\) 26.4925 7.86911i 1.18955 0.353334i
\(497\) 8.91648 + 62.0154i 0.399959 + 2.78177i
\(498\) −6.26194 33.1973i −0.280604 1.48760i
\(499\) 3.05460 1.39499i 0.136743 0.0624482i −0.345869 0.938283i \(-0.612416\pi\)
0.482611 + 0.875835i \(0.339688\pi\)
\(500\) −0.596686 4.10440i −0.0266846 0.183554i
\(501\) −16.5795 + 33.7222i −0.740716 + 1.50660i
\(502\) 9.64045 9.65556i 0.430274 0.430949i
\(503\) −0.274978 + 0.317341i −0.0122606 + 0.0141495i −0.761847 0.647757i \(-0.775707\pi\)
0.749586 + 0.661907i \(0.230253\pi\)
\(504\) −36.1242 + 0.601858i −1.60910 + 0.0268089i
\(505\) 31.8559i 1.41757i
\(506\) −1.87055 3.57089i −0.0831561 0.158746i
\(507\) −5.91030 + 18.1910i −0.262485 + 0.807889i
\(508\) −22.7998 19.6937i −1.01158 0.873768i
\(509\) −4.42735 + 5.10943i −0.196239 + 0.226472i −0.845338 0.534232i \(-0.820601\pi\)
0.649099 + 0.760704i \(0.275146\pi\)
\(510\) −1.58694 3.10840i −0.0702707 0.137642i
\(511\) 19.7842 + 2.84454i 0.875202 + 0.125835i
\(512\) 4.96550 + 22.0759i 0.219446 + 0.975625i
\(513\) −10.9381 6.17635i −0.482927 0.272692i
\(514\) −6.99928 + 3.82902i −0.308725 + 0.168891i
\(515\) 7.23122 + 50.2942i 0.318646 + 2.21623i
\(516\) 14.6388 + 34.4874i 0.644438 + 1.51823i
\(517\) 5.18359 1.52204i 0.227974 0.0669392i
\(518\) 1.83214 + 25.3378i 0.0804996 + 1.11328i
\(519\) 11.3047 + 10.3751i 0.496223 + 0.455416i
\(520\) 20.2047 37.2097i 0.886034 1.63175i
\(521\) 0.0854366 + 0.0985991i 0.00374305 + 0.00431970i 0.757618 0.652698i \(-0.226363\pi\)
−0.753875 + 0.657018i \(0.771818\pi\)
\(522\) −2.92814 + 6.67662i −0.128161 + 0.292228i
\(523\) −2.13781 + 1.37389i −0.0934799 + 0.0600759i −0.586546 0.809916i \(-0.699513\pi\)
0.493066 + 0.869992i \(0.335876\pi\)
\(524\) −11.8953 + 18.5733i −0.519647 + 0.811378i
\(525\) −20.1712 24.6676i −0.880342 1.07658i
\(526\) −26.6151 + 19.9563i −1.16047 + 0.870137i
\(527\) −3.09383 0.908431i −0.134769 0.0395719i
\(528\) 1.61489 + 3.78799i 0.0702790 + 0.164851i
\(529\) 4.09279 22.6329i 0.177947 0.984040i
\(530\) 43.4899 + 9.42499i 1.88908 + 0.409395i
\(531\) −5.11961 6.63882i −0.222172 0.288100i
\(532\) −8.58116 18.7125i −0.372041 0.811290i
\(533\) 12.1029 + 7.77806i 0.524235 + 0.336905i
\(534\) −3.92461 3.11159i −0.169834 0.134652i
\(535\) 26.0939 16.7696i 1.12814 0.725011i
\(536\) 3.01265 14.0073i 0.130127 0.605022i
\(537\) 16.5498 6.99429i 0.714175 0.301826i
\(538\) −0.920039 + 13.0069i −0.0396657 + 0.560769i
\(539\) −6.01714 2.74793i −0.259176 0.118362i
\(540\) −14.8514 28.0370i −0.639104 1.20652i
\(541\) 8.07867 + 27.5134i 0.347329 + 1.18289i 0.929189 + 0.369605i \(0.120507\pi\)
−0.581860 + 0.813289i \(0.697675\pi\)
\(542\) 5.66864 7.58479i 0.243489 0.325795i
\(543\) 37.5857 + 6.50387i 1.61296 + 0.279108i
\(544\) 0.912901 2.47716i 0.0391403 0.106207i
\(545\) 30.3310 13.8517i 1.29924 0.593342i
\(546\) 2.23095 + 51.0915i 0.0954758 + 2.18651i
\(547\) −25.0249 3.59804i −1.06999 0.153841i −0.415257 0.909704i \(-0.636308\pi\)
−0.654730 + 0.755863i \(0.727218\pi\)
\(548\) −1.50285 2.33046i −0.0641988 0.0995521i
\(549\) −31.3423 + 7.28935i −1.33766 + 0.311102i
\(550\) −1.73805 + 3.18893i −0.0741106 + 0.135977i
\(551\) −4.15409 −0.176970
\(552\) −6.00472 + 22.7144i −0.255578 + 0.966788i
\(553\) 14.2897 0.607660
\(554\) −15.8309 + 29.0462i −0.672592 + 1.23406i
\(555\) −19.1041 + 11.5206i −0.810925 + 0.489022i
\(556\) 8.35615 5.38868i 0.354380 0.228531i
\(557\) −29.1836 4.19596i −1.23655 0.177789i −0.507137 0.861865i \(-0.669296\pi\)
−0.729410 + 0.684077i \(0.760205\pi\)
\(558\) −28.2470 7.83297i −1.19579 0.331596i
\(559\) 48.2395 22.0303i 2.04032 0.931781i
\(560\) 7.23869 51.4906i 0.305891 2.17587i
\(561\) 0.0819194 0.473410i 0.00345864 0.0199874i
\(562\) 6.65789 8.90843i 0.280846 0.375780i
\(563\) 8.37469 + 28.5216i 0.352951 + 1.20204i 0.924407 + 0.381408i \(0.124561\pi\)
−0.571455 + 0.820633i \(0.693621\pi\)
\(564\) −28.2782 13.8480i −1.19073 0.583104i
\(565\) −3.48291 1.59059i −0.146527 0.0669166i
\(566\) −0.0768113 + 1.08591i −0.00322862 + 0.0456442i
\(567\) 32.8172 + 19.7868i 1.37819 + 0.830967i
\(568\) −40.6889 8.75128i −1.70727 0.367196i
\(569\) −8.24256 + 5.29717i −0.345546 + 0.222069i −0.701889 0.712286i \(-0.747660\pi\)
0.356343 + 0.934355i \(0.384023\pi\)
\(570\) 11.2314 14.1661i 0.470433 0.593352i
\(571\) −9.11634 5.85872i −0.381507 0.245180i 0.335805 0.941931i \(-0.390992\pi\)
−0.717312 + 0.696752i \(0.754628\pi\)
\(572\) 5.29822 2.42965i 0.221530 0.101589i
\(573\) −10.4863 + 15.3362i −0.438071 + 0.640680i
\(574\) 17.2667 + 3.74198i 0.720698 + 0.156187i
\(575\) −19.0013 + 8.26643i −0.792408 + 0.344734i
\(576\) 7.95821 22.6421i 0.331592 0.943423i
\(577\) 14.3625 + 4.21722i 0.597920 + 0.175565i 0.566668 0.823947i \(-0.308232\pi\)
0.0312520 + 0.999512i \(0.490051\pi\)
\(578\) 18.9886 14.2379i 0.789821 0.592218i
\(579\) 16.4015 13.4119i 0.681624 0.557378i
\(580\) −8.83566 5.65880i −0.366881 0.234969i
\(581\) −49.4012 + 31.7482i −2.04951 + 1.31714i
\(582\) 1.55554 15.6354i 0.0644791 0.648110i
\(583\) 4.01157 + 4.62960i 0.166142 + 0.191738i
\(584\) −6.33581 + 11.6683i −0.262178 + 0.482836i
\(585\) −39.1043 + 22.0848i −1.61676 + 0.913094i
\(586\) −2.54449 35.1893i −0.105112 1.45366i
\(587\) −12.0002 + 3.52356i −0.495299 + 0.145433i −0.519836 0.854266i \(-0.674007\pi\)
0.0245369 + 0.999699i \(0.492189\pi\)
\(588\) 15.0639 + 35.4888i 0.621223 + 1.46353i
\(589\) −2.37700 16.5324i −0.0979424 0.681205i
\(590\) 10.5852 5.79071i 0.435785 0.238400i
\(591\) −3.75039 + 0.430375i −0.154271 + 0.0177033i
\(592\) −16.2067 4.70362i −0.666089 0.193317i
\(593\) 7.91602 + 1.13815i 0.325072 + 0.0467383i 0.302919 0.953016i \(-0.402039\pi\)
0.0221529 + 0.999755i \(0.492948\pi\)
\(594\) 0.679677 4.31444i 0.0278875 0.177024i
\(595\) −3.97282 + 4.58487i −0.162870 + 0.187962i
\(596\) 11.8762 13.7493i 0.486466 0.563192i
\(597\) 20.4856 + 6.65582i 0.838418 + 0.272405i
\(598\) 32.3693 + 7.62916i 1.32368 + 0.311979i
\(599\) 8.97605i 0.366752i 0.983043 + 0.183376i \(0.0587025\pi\)
−0.983043 + 0.183376i \(0.941297\pi\)
\(600\) 20.0196 6.87518i 0.817295 0.280678i
\(601\) −27.3127 + 31.5205i −1.11411 + 1.28575i −0.159727 + 0.987161i \(0.551061\pi\)
−0.954382 + 0.298589i \(0.903484\pi\)
\(602\) 46.0146 46.0867i 1.87541 1.87835i
\(603\) −10.5908 + 10.8984i −0.431292 + 0.443815i
\(604\) 30.6914 4.46183i 1.24882 0.181549i
\(605\) 29.5670 13.5028i 1.20207 0.548967i
\(606\) −25.1158 + 4.73756i −1.02026 + 0.192450i
\(607\) −1.85896 12.9294i −0.0754529 0.524786i −0.992135 0.125170i \(-0.960052\pi\)
0.916682 0.399616i \(-0.130857\pi\)
\(608\) 13.6363 1.02897i 0.553026 0.0417301i
\(609\) 12.6677 + 0.361694i 0.513319 + 0.0146566i
\(610\) −3.34000 46.1909i −0.135233 1.87022i
\(611\) −18.5146 + 40.5413i −0.749021 + 1.64013i
\(612\) −2.21472 + 1.71345i −0.0895249 + 0.0692622i
\(613\) 5.45530 + 6.29576i 0.220338 + 0.254283i 0.855147 0.518386i \(-0.173467\pi\)
−0.634809 + 0.772669i \(0.718921\pi\)
\(614\) 26.7884 5.84942i 1.08109 0.236064i
\(615\) 3.94445 + 15.0053i 0.159055 + 0.605072i
\(616\) 5.04953 5.07330i 0.203451 0.204409i
\(617\) 21.0128 + 13.5041i 0.845944 + 0.543655i 0.890307 0.455360i \(-0.150489\pi\)
−0.0443631 + 0.999015i \(0.514126\pi\)
\(618\) 38.5776 13.1809i 1.55182 0.530215i
\(619\) 27.2499 + 8.00129i 1.09527 + 0.321599i 0.778970 0.627061i \(-0.215742\pi\)
0.316296 + 0.948660i \(0.397561\pi\)
\(620\) 17.4650 38.4020i 0.701410 1.54226i
\(621\) 18.1806 17.0430i 0.729563 0.683913i
\(622\) 5.43131 25.0618i 0.217776 1.00489i
\(623\) −2.45277 + 8.35336i −0.0982681 + 0.334670i
\(624\) −32.3417 10.3960i −1.29470 0.416175i
\(625\) −23.5003 15.1028i −0.940014 0.604110i
\(626\) 33.5998 + 12.5021i 1.34292 + 0.499686i
\(627\) 2.40690 0.632702i 0.0961223 0.0252677i
\(628\) −0.0396211 25.3003i −0.00158105 1.00959i
\(629\) 1.28936 + 1.48801i 0.0514103 + 0.0593307i
\(630\) −35.4831 + 42.2207i −1.41368 + 1.68211i
\(631\) −1.63197 0.745298i −0.0649679 0.0296698i 0.382666 0.923887i \(-0.375006\pi\)
−0.447634 + 0.894217i \(0.647733\pi\)
\(632\) −3.29635 + 8.90167i −0.131122 + 0.354090i
\(633\) 4.33338 + 0.123729i 0.172237 + 0.00491780i
\(634\) 12.5226 16.7555i 0.497334 0.665446i
\(635\) −45.5216 + 6.54501i −1.80647 + 0.259731i
\(636\) 0.963107 35.6900i 0.0381897 1.41520i
\(637\) 49.6402 22.6699i 1.96682 0.898214i
\(638\) −0.505824 1.35293i −0.0200258 0.0535630i
\(639\) 31.6580 + 30.7647i 1.25237 + 1.21703i
\(640\) 30.4059 + 16.3871i 1.20190 + 0.647759i
\(641\) −14.4518 + 16.6783i −0.570814 + 0.658754i −0.965604 0.260017i \(-0.916272\pi\)
0.394790 + 0.918771i \(0.370817\pi\)
\(642\) −17.1021 18.0791i −0.674968 0.713524i
\(643\) −2.94315 −0.116067 −0.0580333 0.998315i \(-0.518483\pi\)
−0.0580333 + 0.998315i \(0.518483\pi\)
\(644\) 40.5147 5.14502i 1.59650 0.202742i
\(645\) 54.3923 + 17.6722i 2.14170 + 0.695843i
\(646\) −1.40095 0.763555i −0.0551198 0.0300417i
\(647\) 2.96816 + 2.57192i 0.116690 + 0.101113i 0.711251 0.702938i \(-0.248129\pi\)
−0.594561 + 0.804050i \(0.702674\pi\)
\(648\) −19.8963 + 15.8788i −0.781601 + 0.623779i
\(649\) 1.64405 + 0.236379i 0.0645347 + 0.00927869i
\(650\) −10.4925 28.0645i −0.411551 1.10078i
\(651\) 5.80905 + 50.6215i 0.227675 + 1.98401i
\(652\) 10.9913 3.24605i 0.430454 0.127125i
\(653\) −5.73620 39.8962i −0.224475 1.56126i −0.720814 0.693129i \(-0.756232\pi\)
0.496339 0.868129i \(-0.334677\pi\)
\(654\) −15.4318 21.8536i −0.603430 0.854544i
\(655\) 9.48545 + 32.3045i 0.370627 + 1.26224i
\(656\) −6.31413 + 9.89296i −0.246525 + 0.386255i
\(657\) 12.2624 6.92538i 0.478401 0.270185i
\(658\) −3.86182 + 54.5961i −0.150550 + 2.12838i
\(659\) −0.768968 + 0.666315i −0.0299547 + 0.0259559i −0.669709 0.742623i \(-0.733581\pi\)
0.639755 + 0.768579i \(0.279036\pi\)
\(660\) 5.98130 + 1.93299i 0.232822 + 0.0752416i
\(661\) 6.72607 4.32258i 0.261614 0.168129i −0.403258 0.915086i \(-0.632122\pi\)
0.664872 + 0.746957i \(0.268486\pi\)
\(662\) −27.5843 10.2638i −1.07210 0.398915i
\(663\) 2.50904 + 3.06833i 0.0974430 + 0.119164i
\(664\) −8.38145 38.0978i −0.325263 1.47848i
\(665\) −30.1519 8.85340i −1.16924 0.343320i
\(666\) 11.9242 + 13.3488i 0.462055 + 0.517255i
\(667\) 2.46412 7.86407i 0.0954112 0.304498i
\(668\) −17.9633 + 39.4978i −0.695022 + 1.52821i
\(669\) 0.114890 0.168026i 0.00444188 0.00649626i
\(670\) −13.1205 17.4984i −0.506889 0.676020i
\(671\) 3.44674 5.36324i 0.133060 0.207045i
\(672\) −41.6728 + 1.95046i −1.60756 + 0.0752408i
\(673\) −36.5009 + 23.4577i −1.40701 + 0.904229i −0.999958 0.00917753i \(-0.997079\pi\)
−0.407049 + 0.913406i \(0.633442\pi\)
\(674\) −3.55070 + 0.775320i −0.136768 + 0.0298642i
\(675\) −21.8680 5.08414i −0.841699 0.195689i
\(676\) −6.18914 + 21.2011i −0.238044 + 0.815425i
\(677\) 5.07618 + 2.31822i 0.195094 + 0.0890963i 0.510566 0.859838i \(-0.329436\pi\)
−0.315473 + 0.948935i \(0.602163\pi\)
\(678\) −0.736083 + 2.98255i −0.0282691 + 0.114544i
\(679\) −26.2064 + 7.69490i −1.00571 + 0.295303i
\(680\) −1.93966 3.53248i −0.0743827 0.135464i
\(681\) −5.77138 + 33.3526i −0.221160 + 1.27808i
\(682\) 5.09493 2.78723i 0.195095 0.106728i
\(683\) −15.3454 33.6018i −0.587177 1.28574i −0.937133 0.348972i \(-0.886531\pi\)
0.349956 0.936766i \(-0.386197\pi\)
\(684\) −12.8392 6.74835i −0.490918 0.258030i
\(685\) −4.18990 0.602417i −0.160088 0.0230172i
\(686\) 17.5688 17.5964i 0.670781 0.671833i
\(687\) 1.55167 + 2.57307i 0.0592001 + 0.0981689i
\(688\) 18.0947 + 39.2957i 0.689854 + 1.49814i
\(689\) −50.5369 −1.92530
\(690\) 20.1554 + 29.6652i 0.767303 + 1.12933i
\(691\) 18.0595i 0.687016i 0.939150 + 0.343508i \(0.111615\pi\)
−0.939150 + 0.343508i \(0.888385\pi\)
\(692\) 13.4083 + 11.5817i 0.509709 + 0.440270i
\(693\) −7.39479 + 1.71982i −0.280905 + 0.0653305i
\(694\) −4.43635 4.42940i −0.168401 0.168138i
\(695\) 2.16004 15.0234i 0.0819351 0.569871i
\(696\) −3.14749 + 7.80779i −0.119305 + 0.295954i
\(697\) 1.24556 0.568830i 0.0471791 0.0215460i
\(698\) 3.69049 2.01891i 0.139687 0.0764170i
\(699\) 7.15658 41.3577i 0.270687 1.56429i
\(700\) −24.1386 27.7695i −0.912355 1.04959i
\(701\) −1.10690 3.76976i −0.0418071 0.142382i 0.935945 0.352147i \(-0.114548\pi\)
−0.977752 + 0.209765i \(0.932730\pi\)
\(702\) 23.2277 + 27.5463i 0.876672 + 1.03967i
\(703\) −4.23674 + 9.27717i −0.159792 + 0.349895i
\(704\) 1.99555 + 4.31588i 0.0752102 + 0.162661i
\(705\) −44.2730 + 18.7107i −1.66742 + 0.704687i
\(706\) 30.2904 6.61412i 1.14000 0.248926i
\(707\) 24.0196 + 37.3752i 0.903349 + 1.40564i
\(708\) −6.13973 7.48439i −0.230745 0.281281i
\(709\) −33.6524 21.6271i −1.26384 0.812222i −0.275037 0.961434i \(-0.588690\pi\)
−0.988805 + 0.149211i \(0.952327\pi\)
\(710\) −50.8300 + 38.1130i −1.90762 + 1.43035i
\(711\) 7.97286 6.14837i 0.299005 0.230582i
\(712\) −4.63786 3.45489i −0.173811 0.129477i
\(713\) 32.7073 + 5.30680i 1.22490 + 0.198741i
\(714\) 4.20565 + 2.45040i 0.157392 + 0.0917038i
\(715\) 2.50673 8.53713i 0.0937463 0.319271i
\(716\) 18.8582 8.64798i 0.704765 0.323190i
\(717\) −33.0294 40.3920i −1.23351 1.50847i
\(718\) −12.8272 + 34.4735i −0.478707 + 1.28654i
\(719\) −28.4383 44.2509i −1.06057 1.65028i −0.694152 0.719829i \(-0.744220\pi\)
−0.366418 0.930450i \(-0.619416\pi\)
\(720\) −18.1159 31.8434i −0.675138 1.18673i
\(721\) −46.4063 53.5558i −1.72826 1.99452i
\(722\) −1.31276 + 18.5590i −0.0488559 + 0.690695i
\(723\) 20.2821 22.0994i 0.754298 0.821887i
\(724\) 43.6066 + 6.20000i 1.62063 + 0.230421i
\(725\) −7.12394 + 2.09178i −0.264577 + 0.0776867i
\(726\) −15.0431 21.3031i −0.558300 0.790634i
\(727\) −36.4712 + 5.24377i −1.35264 + 0.194481i −0.780234 0.625488i \(-0.784900\pi\)
−0.572409 + 0.819968i \(0.693991\pi\)
\(728\) 4.35104 + 58.8910i 0.161260 + 2.18265i
\(729\) 26.8237 3.08020i 0.993471 0.114082i
\(730\) 7.09779 + 18.9845i 0.262701 + 0.702648i
\(731\) 0.718333 4.99611i 0.0265685 0.184788i
\(732\) −35.9212 + 9.50278i −1.32769 + 0.351233i
\(733\) −30.8568 + 35.6106i −1.13972 + 1.31531i −0.197506 + 0.980302i \(0.563284\pi\)
−0.942216 + 0.335007i \(0.891261\pi\)
\(734\) −11.1489 + 20.4557i −0.411513 + 0.755035i
\(735\) 55.9716 + 18.1853i 2.06454 + 0.670776i
\(736\) −6.14088 + 26.4252i −0.226356 + 0.974045i
\(737\) 3.01078i 0.110903i
\(738\) 11.2439 5.34146i 0.413893 0.196622i
\(739\) 17.6615 + 15.3038i 0.649689 + 0.562959i 0.916125 0.400894i \(-0.131300\pi\)
−0.266435 + 0.963853i \(0.585846\pi\)
\(740\) −21.6490 + 13.9610i −0.795835 + 0.513215i
\(741\) −9.05844 + 18.4246i −0.332770 + 0.676846i
\(742\) −58.1314 + 21.7338i −2.13407 + 0.797872i
\(743\) −8.26284 18.0931i −0.303134 0.663771i 0.695358 0.718663i \(-0.255246\pi\)
−0.998492 + 0.0548923i \(0.982518\pi\)
\(744\) −32.8743 8.05867i −1.20523 0.295445i
\(745\) −3.94692 27.4514i −0.144604 1.00574i
\(746\) 10.4804 14.0230i 0.383714 0.513419i
\(747\) −13.9029 + 38.9694i −0.508681 + 1.42582i
\(748\) 0.0780920 0.549246i 0.00285533 0.0200824i
\(749\) −17.9706 + 39.3501i −0.656631 + 1.43782i
\(750\) −1.90660 + 4.70830i −0.0696191 + 0.171923i
\(751\) −8.00175 + 6.93356i −0.291988 + 0.253009i −0.788520 0.615010i \(-0.789152\pi\)
0.496532 + 0.868019i \(0.334607\pi\)
\(752\) −33.1194 14.9999i −1.20774 0.546991i
\(753\) −16.1618 + 4.24845i −0.588968 + 0.154822i
\(754\) 11.1679 + 4.15546i 0.406712 + 0.151333i
\(755\) 25.5955 39.8273i 0.931514 1.44946i
\(756\) 38.5647 + 21.6966i 1.40258 + 0.789098i
\(757\) 11.9065 + 3.49607i 0.432750 + 0.127067i 0.490851 0.871244i \(-0.336686\pi\)
−0.0581002 + 0.998311i \(0.518504\pi\)
\(758\) 27.2927 + 5.91479i 0.991316 + 0.214835i
\(759\) −0.229963 + 4.93178i −0.00834712 + 0.179012i
\(760\) 12.4706 16.7406i 0.452357 0.607246i
\(761\) 6.72362 22.8985i 0.243731 0.830071i −0.743220 0.669048i \(-0.766702\pi\)
0.986951 0.161024i \(-0.0514796\pi\)
\(762\) 11.9301 + 34.9168i 0.432183 + 1.26490i
\(763\) −25.1418 + 39.1215i −0.910196 + 1.41629i
\(764\) −11.5699 + 18.0653i −0.418584 + 0.653578i
\(765\) −0.243893 + 4.26747i −0.00881798 + 0.154291i
\(766\) −8.46647 38.7735i −0.305906 1.40094i
\(767\) −10.3557 + 8.97328i −0.373923 + 0.324006i
\(768\) 8.39806 26.4097i 0.303039 0.952978i
\(769\) 32.4873 + 14.8365i 1.17152 + 0.535017i 0.903580 0.428418i \(-0.140929\pi\)
0.267942 + 0.963435i \(0.413656\pi\)
\(770\) −0.788025 10.8981i −0.0283985 0.392740i
\(771\) 9.76725 + 0.278880i 0.351759 + 0.0100436i
\(772\) 18.4640 16.0499i 0.664534 0.577647i
\(773\) 48.2177 6.93266i 1.73427 0.249351i 0.798509 0.601983i \(-0.205622\pi\)
0.935762 + 0.352632i \(0.114713\pi\)
\(774\) 5.84401 45.5123i 0.210059 1.63590i
\(775\) −12.4012 27.1548i −0.445464 0.975429i
\(776\) 1.25182 18.1002i 0.0449377 0.649758i
\(777\) 13.7275 27.9213i 0.492470 1.00167i
\(778\) 28.8375 28.8827i 1.03388 1.03550i
\(779\) 5.36046 + 4.64486i 0.192058 + 0.166419i
\(780\) −44.3656 + 26.8492i −1.58854 + 0.961354i
\(781\) −8.74584 −0.312951
\(782\) 2.27650 2.19921i 0.0814074 0.0786435i
\(783\) 7.22347 5.24866i 0.258146 0.187572i
\(784\) 18.6201 + 40.4367i 0.665003 + 1.44417i
\(785\) −29.1876 25.2912i −1.04175 0.902683i
\(786\) 24.0589 12.2828i 0.858152 0.438113i
\(787\) −1.73592 + 12.0736i −0.0618788 + 0.430377i 0.935208 + 0.354099i \(0.115213\pi\)
−0.997087 + 0.0762774i \(0.975697\pi\)
\(788\) −4.31366 + 0.627107i −0.153668 + 0.0223398i
\(789\) 40.4766 4.64487i 1.44100 0.165362i
\(790\) 6.95432 + 12.7122i 0.247424 + 0.452280i
\(791\) 5.28567 0.759965i 0.187937 0.0270212i
\(792\) 0.634482 5.00326i 0.0225453 0.177783i
\(793\) 14.8177 + 50.4644i 0.526191 + 1.79204i
\(794\) −2.89770 40.0741i −0.102835 1.42218i
\(795\) −40.1533 36.8513i −1.42409 1.30698i
\(796\) 23.8754 + 6.96984i 0.846239 + 0.247040i
\(797\) 8.14769 7.06001i 0.288606 0.250078i −0.498509 0.866884i \(-0.666119\pi\)
0.787115 + 0.616806i \(0.211574\pi\)
\(798\) −2.49606 + 25.0891i −0.0883596 + 0.888144i
\(799\) 2.29340 + 3.56859i 0.0811345 + 0.126248i
\(800\) 22.8671 8.63113i 0.808475 0.305156i
\(801\) 2.22566 + 5.71605i 0.0786398 + 0.201967i
\(802\) −11.2172 + 8.41082i −0.396094 + 0.296996i
\(803\) −0.786063 + 2.67709i −0.0277396 + 0.0944723i
\(804\) −11.8448 + 12.9468i −0.417734 + 0.456599i
\(805\) 34.6458 51.8286i 1.22110 1.82672i
\(806\) −10.1475 + 46.8237i −0.357430 + 1.64929i
\(807\) 9.01396 13.1829i 0.317306 0.464061i
\(808\) −28.8234 + 6.34110i −1.01401 + 0.223079i
\(809\) 0.818751 1.27400i 0.0287858 0.0447915i −0.826562 0.562845i \(-0.809707\pi\)
0.855348 + 0.518053i \(0.173343\pi\)
\(810\) −1.63142 + 38.8239i −0.0573224 + 1.36413i
\(811\) −15.3007 23.8084i −0.537280 0.836024i 0.461410 0.887187i \(-0.347344\pi\)
−0.998690 + 0.0511626i \(0.983707\pi\)
\(812\) 14.6333 0.0229162i 0.513528 0.000804201i
\(813\) −10.6823 + 4.51458i −0.374646 + 0.158333i
\(814\) −3.53734 0.250212i −0.123984 0.00876991i
\(815\) 7.26752 15.9136i 0.254570 0.557431i
\(816\) −2.49662 + 2.05462i −0.0873991 + 0.0719260i
\(817\) 25.0865 7.36607i 0.877667 0.257706i
\(818\) 6.03527 8.07535i 0.211018 0.282348i
\(819\) 29.2274 55.3961i 1.02129 1.93570i
\(820\) 5.07423 + 17.1817i 0.177200 + 0.600010i
\(821\) −20.2755 44.3973i −0.707621 1.54947i −0.830479 0.557051i \(-0.811933\pi\)
0.122857 0.992424i \(-0.460794\pi\)
\(822\) 0.148158 + 3.39300i 0.00516760 + 0.118344i
\(823\) 3.71055 25.8075i 0.129342 0.899592i −0.817049 0.576568i \(-0.804392\pi\)
0.946391 0.323024i \(-0.104699\pi\)
\(824\) 44.0672 16.5542i 1.53515 0.576694i
\(825\) 3.80905 2.29702i 0.132614 0.0799720i
\(826\) −8.05291 + 14.7753i −0.280197 + 0.514099i
\(827\) 14.5823i 0.507078i 0.967325 + 0.253539i \(0.0815946\pi\)
−0.967325 + 0.253539i \(0.918405\pi\)
\(828\) 20.3912 20.3027i 0.708642 0.705568i
\(829\) 39.6498i 1.37709i −0.725191 0.688547i \(-0.758249\pi\)
0.725191 0.688547i \(-0.241751\pi\)
\(830\) −52.2853 28.4968i −1.81485 0.989140i
\(831\) 34.6945 20.9223i 1.20354 0.725786i
\(832\) −37.6895 10.8746i −1.30665 0.377007i
\(833\) 0.739189 5.14117i 0.0256114 0.178131i
\(834\) −12.1660 + 0.531239i −0.421275 + 0.0183953i
\(835\) 27.5153 + 60.2501i 0.952206 + 2.08504i
\(836\) 2.75599 0.813922i 0.0953180 0.0281501i
\(837\) 25.0218 + 25.7445i 0.864881 + 0.889860i
\(838\) −18.6802 13.9610i −0.645298 0.482276i
\(839\) −34.6475 + 10.1734i −1.19617 + 0.351226i −0.818386 0.574670i \(-0.805131\pi\)
−0.377780 + 0.925895i \(0.623312\pi\)
\(840\) −39.4860 + 49.9637i −1.36240 + 1.72391i
\(841\) −10.8204 + 23.6933i −0.373117 + 0.817011i
\(842\) 0.403479 5.70414i 0.0139048 0.196578i
\(843\) −12.5465 + 5.30244i −0.432126 + 0.182626i
\(844\) 5.00579 0.00783924i 0.172307 0.000269838i
\(845\) 18.2272 + 28.3621i 0.627036 + 0.975686i
\(846\) 21.3362 + 32.1232i 0.733552 + 1.10442i
\(847\) −24.5085 + 38.1360i −0.842123 + 1.31037i
\(848\) −0.129123 41.2261i −0.00443411 1.41571i
\(849\) 0.752548 1.10060i 0.0258274 0.0377726i
\(850\) −2.78701 0.603992i −0.0955937 0.0207168i
\(851\) −15.0494 13.5236i −0.515886 0.463582i
\(852\) 37.6085 + 34.4073i 1.28844 + 1.17878i
\(853\) −2.16327 + 7.36743i −0.0740690 + 0.252256i −0.988201 0.153160i \(-0.951055\pi\)
0.914132 + 0.405416i \(0.132873\pi\)
\(854\) 38.7470 + 51.6756i 1.32590 + 1.76830i
\(855\) −20.6324 + 8.03364i −0.705613 + 0.274745i
\(856\) −20.3674 20.2719i −0.696143 0.692880i
\(857\) −26.0900 40.5969i −0.891218 1.38676i −0.921981 0.387236i \(-0.873430\pi\)
0.0307627 0.999527i \(-0.490206\pi\)
\(858\) −7.10366 0.706728i −0.242515 0.0241273i
\(859\) 25.9292 22.4678i 0.884694 0.766592i −0.0886208 0.996065i \(-0.528246\pi\)
0.973315 + 0.229474i \(0.0737005\pi\)
\(860\) 63.3927 + 18.5060i 2.16167 + 0.631049i
\(861\) −15.9420 14.6310i −0.543301 0.498622i
\(862\) −27.4713 + 1.98641i −0.935677 + 0.0676574i
\(863\) −4.38307 14.9274i −0.149201 0.508133i 0.850644 0.525743i \(-0.176213\pi\)
−0.999845 + 0.0176097i \(0.994394\pi\)
\(864\) −22.4119 + 19.0186i −0.762467 + 0.647027i
\(865\) 26.7708 3.84906i 0.910234 0.130872i
\(866\) 0.800724 0.438043i 0.0272097 0.0148853i
\(867\) −28.8781 + 3.31390i −0.980752 + 0.112546i
\(868\) 8.46446 + 58.2242i 0.287303 + 1.97626i
\(869\) −0.283878 + 1.97442i −0.00962991 + 0.0669775i
\(870\) 5.84316 + 11.4453i 0.198102 + 0.388030i
\(871\) 18.7715 + 16.2656i 0.636050 + 0.551140i
\(872\) −18.5707 24.6865i −0.628884 0.835990i
\(873\) −11.3109 + 15.5690i −0.382814 + 0.526932i
\(874\) 15.2609 + 5.99416i 0.516207 + 0.202756i
\(875\) 8.82985 0.298503
\(876\) 13.9122 8.41940i 0.470050 0.284465i
\(877\) 6.70475 + 5.80970i 0.226403 + 0.196180i 0.760674 0.649134i \(-0.224868\pi\)
−0.534271 + 0.845313i \(0.679414\pi\)
\(878\) 2.77186 + 2.76752i 0.0935456 + 0.0933992i
\(879\) −19.0648 + 38.7773i −0.643039 + 1.30793i
\(880\) 6.97068 + 2.02308i 0.234981 + 0.0681981i
\(881\) 23.3587 + 51.1483i 0.786973 + 1.72323i 0.685119 + 0.728431i \(0.259750\pi\)
0.101854 + 0.994799i \(0.467522\pi\)
\(882\) 6.01369 46.8337i 0.202492 1.57697i
\(883\) 49.3026 7.08865i 1.65916 0.238552i 0.751950 0.659220i \(-0.229113\pi\)
0.907215 + 0.420668i \(0.138204\pi\)
\(884\) 3.00254 + 3.45417i 0.100986 + 0.116176i
\(885\) −14.7712 0.421757i −0.496530 0.0141772i
\(886\) −5.32500 + 0.385043i −0.178897 + 0.0129358i
\(887\) 30.5471 + 13.9504i 1.02567 + 0.468409i 0.855936 0.517081i \(-0.172981\pi\)
0.169735 + 0.985490i \(0.445709\pi\)
\(888\) 14.2267 + 14.9923i 0.477418 + 0.503109i
\(889\) 48.4736 42.0026i 1.62575 1.40872i
\(890\) −8.62488 + 1.88330i −0.289107 + 0.0631285i
\(891\) −3.38590 + 4.14129i −0.113432 + 0.138738i
\(892\) 0.126762 0.197926i 0.00424429 0.00662704i
\(893\) −11.8796 + 18.4850i −0.397536 + 0.618579i
\(894\) −21.0563 + 7.19438i −0.704229 + 0.240616i
\(895\) 8.92233 30.3867i 0.298241 1.01571i
\(896\) −48.0300 + 3.69988i −1.60457 + 0.123604i
\(897\) −29.5062 28.0776i −0.985184 0.937482i
\(898\) −2.08651 + 9.62783i −0.0696278 + 0.321285i
\(899\) 11.3916 + 3.34488i 0.379931 + 0.111558i
\(900\) −25.4163 5.10778i −0.847209 0.170259i
\(901\) −2.60049 + 4.04644i −0.0866349 + 0.134807i
\(902\) −0.860051 + 2.31141i −0.0286366 + 0.0769616i
\(903\) −77.1413 + 20.2781i −2.56710 + 0.674814i
\(904\) −0.745885 + 3.46798i −0.0248078 + 0.115343i
\(905\) 50.8126 44.0294i 1.68907 1.46359i
\(906\) −35.2072 14.2569i −1.16968 0.473655i
\(907\) −11.0379 + 24.1697i −0.366508 + 0.802541i 0.633087 + 0.774081i \(0.281788\pi\)
−0.999595 + 0.0284602i \(0.990940\pi\)
\(908\) −5.50173 + 38.6955i −0.182581 + 1.28415i
\(909\) 29.4828 + 10.5184i 0.977884 + 0.348875i
\(910\) 72.2046 + 53.9635i 2.39356 + 1.78887i
\(911\) 1.72497 + 11.9975i 0.0571509 + 0.397494i 0.998238 + 0.0593303i \(0.0188965\pi\)
−0.941087 + 0.338163i \(0.890194\pi\)
\(912\) −15.0533 7.34246i −0.498463 0.243133i
\(913\) −3.40527 7.45650i −0.112698 0.246774i
\(914\) −3.50986 9.38785i −0.116096 0.310523i
\(915\) −25.0252 + 50.9007i −0.827308 + 1.68272i
\(916\) 1.88036 + 2.91584i 0.0621287 + 0.0963421i
\(917\) −35.4867 30.7494i −1.17187 1.01544i
\(918\) 3.40084 0.442361i 0.112244 0.0146001i
\(919\) 38.6257i 1.27415i −0.770804 0.637073i \(-0.780145\pi\)
0.770804 0.637073i \(-0.219855\pi\)
\(920\) 24.2942 + 33.5382i 0.800955 + 1.10572i
\(921\) −31.9385 10.3769i −1.05241 0.341931i
\(922\) 1.26041 + 0.686956i 0.0415094 + 0.0226237i
\(923\) 47.2491 54.5284i 1.55522 1.79482i
\(924\) −8.47511 + 2.24205i −0.278810 + 0.0737579i
\(925\) −2.59420 + 18.0430i −0.0852967 + 0.593251i
\(926\) 11.6411 4.35228i 0.382549 0.143025i
\(927\) −48.9354 9.91405i −1.60725 0.325620i
\(928\) −3.36134 + 9.12099i −0.110341 + 0.299411i
\(929\) 32.4191 4.66116i 1.06364 0.152928i 0.411789 0.911279i \(-0.364904\pi\)
0.651846 + 0.758352i \(0.273995\pi\)
\(930\) −42.2061 + 29.8035i −1.38399 + 0.977296i
\(931\) 25.8149 7.57994i 0.846050 0.248423i
\(932\) 6.82221 47.9828i 0.223469 1.57173i
\(933\) −21.2361 + 23.1390i −0.695240 + 0.757537i
\(934\) 33.1718 + 2.34639i 1.08541 + 0.0767761i
\(935\) −0.554571 0.640009i −0.0181364 0.0209305i
\(936\) 27.7664 + 30.9858i 0.907575 + 1.01280i
\(937\) −2.49162 3.87703i −0.0813976 0.126657i 0.798168 0.602435i \(-0.205803\pi\)
−0.879565 + 0.475778i \(0.842166\pi\)
\(938\) 28.5876 + 10.6371i 0.933419 + 0.347315i
\(939\) −27.7946 33.9903i −0.907042 1.10923i
\(940\) −50.4485 + 23.1346i −1.64545 + 0.754567i
\(941\) 11.6502 39.6771i 0.379787 1.29344i −0.518896 0.854837i \(-0.673657\pi\)
0.898683 0.438598i \(-0.144525\pi\)
\(942\) −15.5994 + 26.7734i −0.508256 + 0.872326i
\(943\) −11.9729 + 7.39259i −0.389890 + 0.240736i
\(944\) −7.34652 8.42488i −0.239109 0.274206i
\(945\) 63.6167 22.7017i 2.06945 0.738485i
\(946\) 5.45370 + 7.27341i 0.177315 + 0.236479i
\(947\) 19.7094 + 12.6664i 0.640468 + 0.411604i 0.820172 0.572117i \(-0.193878\pi\)
−0.179704 + 0.983721i \(0.557514\pi\)
\(948\) 8.98835 7.37348i 0.291928 0.239479i
\(949\) −12.4444 19.3638i −0.403961 0.628576i
\(950\) −3.15124 14.4316i −0.102240 0.468223i
\(951\) −23.5983 + 9.97313i −0.765226 + 0.323401i
\(952\) 4.93924 + 2.68199i 0.160082 + 0.0869238i
\(953\) −0.945762 + 2.07093i −0.0306362 + 0.0670840i −0.924331 0.381590i \(-0.875376\pi\)
0.893695 + 0.448675i \(0.148104\pi\)
\(954\) −23.0828 + 37.1382i −0.747333 + 1.20239i
\(955\) 9.22599 + 31.4209i 0.298546 + 1.01675i
\(956\) −39.5259 45.4713i −1.27836 1.47065i
\(957\) −0.301630 + 1.74311i −0.00975032 + 0.0563468i
\(958\) 1.39682 + 2.55334i 0.0451294 + 0.0824946i
\(959\) 5.37007 2.45243i 0.173409 0.0791930i
\(960\) −22.0159 36.1232i −0.710560 1.16587i
\(961\) −2.38177 + 16.5656i −0.0768314 + 0.534374i
\(962\) 20.6704 20.7028i 0.666440 0.667484i
\(963\) 6.90442 + 29.6873i 0.222492 + 0.956659i
\(964\) 22.6408 26.2117i 0.729212 0.844223i
\(965\) 37.3451i 1.20218i
\(966\) −46.0153 19.6076i −1.48052 0.630864i
\(967\) −51.9552 −1.67077 −0.835383 0.549668i \(-0.814754\pi\)
−0.835383 + 0.549668i \(0.814754\pi\)
\(968\) −18.1029 24.0646i −0.581850 0.773467i
\(969\) 1.00912 + 1.67338i 0.0324176 + 0.0537568i
\(970\) −19.5992 19.5685i −0.629293 0.628308i
\(971\) −21.4469 3.08359i −0.688263 0.0989572i −0.210695 0.977552i \(-0.567573\pi\)
−0.477568 + 0.878595i \(0.658482\pi\)
\(972\) 30.8523 4.48759i 0.989586 0.143940i
\(973\) 8.79349 + 19.2551i 0.281906 + 0.617289i
\(974\) 5.59116 + 10.2204i 0.179152 + 0.327483i
\(975\) −6.25685 + 36.1582i −0.200380 + 1.15799i
\(976\) −41.1291 + 12.2166i −1.31651 + 0.391045i
\(977\) −28.9043 + 8.48705i −0.924729 + 0.271525i −0.709228 0.704979i \(-0.750956\pi\)
−0.215501 + 0.976504i \(0.569138\pi\)
\(978\) −13.6275 3.36321i −0.435759 0.107544i
\(979\) −1.10546 0.504848i −0.0353307 0.0161350i
\(980\) 65.2333 + 19.0433i 2.08380 + 0.608316i
\(981\) 2.80490 + 32.6453i 0.0895535 + 1.04228i
\(982\) 11.4554 + 52.4619i 0.365557 + 1.67413i
\(983\) −43.0797 + 27.6856i −1.37403 + 0.883034i −0.999032 0.0439920i \(-0.985992\pi\)
−0.374996 + 0.927026i \(0.622356\pi\)
\(984\) 12.7918 6.55587i 0.407786 0.208993i
\(985\) −3.59742 + 5.59770i −0.114623 + 0.178357i
\(986\) 0.907395 0.680377i 0.0288973 0.0216676i
\(987\) 37.8357 55.3347i 1.20432 1.76132i
\(988\) −9.81453 + 21.5802i −0.312242 + 0.686557i
\(989\) −0.936193 + 51.8605i −0.0297692 + 1.64907i
\(990\) −5.12876 5.74147i −0.163003 0.182476i
\(991\) −10.6383 3.12369i −0.337937 0.0992271i 0.108361 0.994112i \(-0.465440\pi\)
−0.446298 + 0.894884i \(0.647258\pi\)
\(992\) −38.2229 8.15830i −1.21358 0.259026i
\(993\) 22.8184 + 27.9049i 0.724120 + 0.885535i
\(994\) 30.8992 83.0426i 0.980065 2.63395i
\(995\) 31.9397 20.5264i 1.01256 0.650731i
\(996\) −14.6917 + 45.4609i −0.465525 + 1.44048i
\(997\) 5.70020 4.93925i 0.180527 0.156428i −0.559910 0.828554i \(-0.689164\pi\)
0.740437 + 0.672126i \(0.234619\pi\)
\(998\) −4.73717 0.335081i −0.149953 0.0106068i
\(999\) −4.35444 21.4850i −0.137768 0.679755i
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 552.2.bf.a.5.16 yes 920
3.2 odd 2 inner 552.2.bf.a.5.77 yes 920
8.5 even 2 inner 552.2.bf.a.5.90 yes 920
23.14 odd 22 inner 552.2.bf.a.221.3 yes 920
24.5 odd 2 inner 552.2.bf.a.5.3 920
69.14 even 22 inner 552.2.bf.a.221.90 yes 920
184.37 odd 22 inner 552.2.bf.a.221.77 yes 920
552.221 even 22 inner 552.2.bf.a.221.16 yes 920
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.bf.a.5.3 920 24.5 odd 2 inner
552.2.bf.a.5.16 yes 920 1.1 even 1 trivial
552.2.bf.a.5.77 yes 920 3.2 odd 2 inner
552.2.bf.a.5.90 yes 920 8.5 even 2 inner
552.2.bf.a.221.3 yes 920 23.14 odd 22 inner
552.2.bf.a.221.16 yes 920 552.221 even 22 inner
552.2.bf.a.221.77 yes 920 184.37 odd 22 inner
552.2.bf.a.221.90 yes 920 69.14 even 22 inner