Properties

Label 276.2.m.a.7.15
Level $276$
Weight $2$
Character 276.7
Analytic conductor $2.204$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [276,2,Mod(7,276)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(276, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 19]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("276.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 276.m (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: \(2.20387109579\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.15
Character \(\chi\) \(=\) 276.7
Dual form 276.2.m.a.79.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.429221 + 1.34750i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.63154 + 1.15676i) q^{4} +(-1.34962 + 0.616349i) q^{5} +(-0.901539 + 1.08960i) q^{6} +(-3.09157 + 0.907767i) q^{7} +(-2.25902 - 1.70200i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(0.429221 + 1.34750i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.63154 + 1.15676i) q^{4} +(-1.34962 + 0.616349i) q^{5} +(-0.901539 + 1.08960i) q^{6} +(-3.09157 + 0.907767i) q^{7} +(-2.25902 - 1.70200i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-1.40982 - 1.55406i) q^{10} +(-0.275310 - 0.317725i) q^{11} +(-1.85520 - 0.747148i) q^{12} +(0.203308 + 0.0596967i) q^{13} +(-2.55019 - 3.77627i) q^{14} +(-1.24816 - 0.802146i) q^{15} +(1.32383 - 3.77458i) q^{16} +(6.93583 + 0.997222i) q^{17} +(-1.40404 - 0.169340i) q^{18} +(1.20273 + 8.36514i) q^{19} +(1.48898 - 2.56677i) q^{20} +(-2.43509 - 2.11002i) q^{21} +(0.309967 - 0.507356i) q^{22} +(-2.10222 + 4.31053i) q^{23} +(0.210494 - 2.82058i) q^{24} +(-1.83273 + 2.11508i) q^{25} +(0.00682267 + 0.299582i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(3.99395 - 5.05725i) q^{28} +(1.31552 - 9.14967i) q^{29} +(0.545157 - 2.02620i) q^{30} +(-0.417086 + 0.648998i) q^{31} +(5.65448 + 0.163741i) q^{32} +(0.118443 - 0.403380i) q^{33} +(1.63325 + 9.77409i) q^{34} +(3.61293 - 3.13062i) q^{35} +(-0.374456 - 1.96463i) q^{36} +(5.72461 + 2.61434i) q^{37} +(-10.7558 + 5.21118i) q^{38} +(0.0596967 + 0.203308i) q^{39} +(4.09784 + 0.904701i) q^{40} +(0.668756 + 1.46437i) q^{41} +(1.79807 - 4.18696i) q^{42} +(-4.82029 + 3.09781i) q^{43} +(0.816709 + 0.199914i) q^{44} -1.48369i q^{45} +(-6.71078 - 0.982574i) q^{46} -5.63621i q^{47} +(3.89110 - 0.927014i) q^{48} +(2.84499 - 1.82836i) q^{49} +(-3.63672 - 1.56177i) q^{50} +(2.91088 + 6.37393i) q^{51} +(-0.400760 + 0.137781i) q^{52} +(0.159333 + 0.542639i) q^{53} +(-0.616622 - 1.27270i) q^{54} +(0.567392 + 0.259119i) q^{55} +(8.52895 + 3.21119i) q^{56} +(-6.38696 + 5.53434i) q^{57} +(12.8939 - 2.15456i) q^{58} +(1.54849 - 5.27366i) q^{59} +(2.96431 - 0.135088i) q^{60} +(-3.24731 + 5.05292i) q^{61} +(-1.05355 - 0.283461i) q^{62} +(0.458551 - 3.18929i) q^{63} +(2.20638 + 7.68972i) q^{64} +(-0.311182 + 0.0447413i) q^{65} +(0.594395 - 0.0135367i) q^{66} +(9.31219 - 10.7468i) q^{67} +(-12.4696 + 6.39606i) q^{68} +(-4.76279 + 0.561953i) q^{69} +(5.76928 + 3.52471i) q^{70} +(2.30409 + 1.99650i) q^{71} +(2.48663 - 1.34784i) q^{72} +(1.08496 + 7.54605i) q^{73} +(-1.06571 + 8.83608i) q^{74} +(-2.77016 - 0.398290i) q^{75} +(-11.6387 - 12.2568i) q^{76} +(1.13956 + 0.732351i) q^{77} +(-0.248336 + 0.167706i) q^{78} +(6.15059 + 1.80598i) q^{79} +(0.539793 + 5.91018i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-1.68620 + 1.52969i) q^{82} +(-0.581189 + 1.27263i) q^{83} +(6.41372 + 0.625770i) q^{84} +(-9.97534 + 2.92903i) q^{85} +(-6.24329 - 5.16572i) q^{86} +(8.40842 - 3.84000i) q^{87} +(0.0811643 + 1.18633i) q^{88} +(3.35040 + 5.21332i) q^{89} +(1.99929 - 0.636833i) q^{90} -0.682733 q^{91} +(-1.55639 - 9.46455i) q^{92} -0.771466 q^{93} +(7.59482 - 2.41918i) q^{94} +(-6.77907 - 10.5484i) q^{95} +(2.91930 + 4.84538i) q^{96} +(9.45205 - 4.31661i) q^{97} +(3.68486 + 3.04887i) q^{98} +(0.403380 - 0.118443i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(139\) \(185\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.429221 + 1.34750i 0.303505 + 0.952830i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) −1.63154 + 1.15676i −0.815769 + 0.578378i
\(5\) −1.34962 + 0.616349i −0.603567 + 0.275640i −0.693670 0.720293i \(-0.744007\pi\)
0.0901036 + 0.995932i \(0.471280\pi\)
\(6\) −0.901539 + 1.08960i −0.368052 + 0.444827i
\(7\) −3.09157 + 0.907767i −1.16850 + 0.343104i −0.807732 0.589550i \(-0.799305\pi\)
−0.360772 + 0.932654i \(0.617487\pi\)
\(8\) −2.25902 1.70200i −0.798686 0.601748i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −1.40982 1.55406i −0.445823 0.491438i
\(11\) −0.275310 0.317725i −0.0830091 0.0957976i 0.712726 0.701443i \(-0.247460\pi\)
−0.795735 + 0.605645i \(0.792915\pi\)
\(12\) −1.85520 0.747148i −0.535550 0.215683i
\(13\) 0.203308 + 0.0596967i 0.0563876 + 0.0165569i 0.309805 0.950800i \(-0.399736\pi\)
−0.253417 + 0.967357i \(0.581555\pi\)
\(14\) −2.55019 3.77627i −0.681566 1.00925i
\(15\) −1.24816 0.802146i −0.322274 0.207113i
\(16\) 1.32383 3.77458i 0.330958 0.943645i
\(17\) 6.93583 + 0.997222i 1.68219 + 0.241862i 0.916121 0.400901i \(-0.131303\pi\)
0.766065 + 0.642763i \(0.222212\pi\)
\(18\) −1.40404 0.169340i −0.330935 0.0399139i
\(19\) 1.20273 + 8.36514i 0.275924 + 1.91910i 0.380891 + 0.924620i \(0.375617\pi\)
−0.104966 + 0.994476i \(0.533474\pi\)
\(20\) 1.48898 2.56677i 0.332947 0.573948i
\(21\) −2.43509 2.11002i −0.531380 0.460444i
\(22\) 0.309967 0.507356i 0.0660851 0.108169i
\(23\) −2.10222 + 4.31053i −0.438342 + 0.898808i
\(24\) 0.210494 2.82058i 0.0429668 0.575749i
\(25\) −1.83273 + 2.11508i −0.366545 + 0.423016i
\(26\) 0.00682267 + 0.299582i 0.00133804 + 0.0587529i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) 3.99395 5.05725i 0.754786 0.955730i
\(29\) 1.31552 9.14967i 0.244287 1.69905i −0.385845 0.922564i \(-0.626090\pi\)
0.630132 0.776488i \(-0.283001\pi\)
\(30\) 0.545157 2.02620i 0.0995316 0.369933i
\(31\) −0.417086 + 0.648998i −0.0749108 + 0.116564i −0.876688 0.481060i \(-0.840252\pi\)
0.801777 + 0.597624i \(0.203888\pi\)
\(32\) 5.65448 + 0.163741i 0.999581 + 0.0289455i
\(33\) 0.118443 0.403380i 0.0206183 0.0702195i
\(34\) 1.63325 + 9.77409i 0.280099 + 1.67624i
\(35\) 3.61293 3.13062i 0.610697 0.529172i
\(36\) −0.374456 1.96463i −0.0624094 0.327439i
\(37\) 5.72461 + 2.61434i 0.941121 + 0.429795i 0.826072 0.563564i \(-0.190570\pi\)
0.115049 + 0.993360i \(0.463298\pi\)
\(38\) −10.7558 + 5.21118i −1.74483 + 0.845365i
\(39\) 0.0596967 + 0.203308i 0.00955913 + 0.0325554i
\(40\) 4.09784 + 0.904701i 0.647926 + 0.143046i
\(41\) 0.668756 + 1.46437i 0.104442 + 0.228697i 0.954637 0.297771i \(-0.0962433\pi\)
−0.850195 + 0.526468i \(0.823516\pi\)
\(42\) 1.79807 4.18696i 0.277448 0.646062i
\(43\) −4.82029 + 3.09781i −0.735087 + 0.472412i −0.853855 0.520510i \(-0.825742\pi\)
0.118768 + 0.992922i \(0.462105\pi\)
\(44\) 0.816709 + 0.199914i 0.123123 + 0.0301381i
\(45\) 1.48369i 0.221176i
\(46\) −6.71078 0.982574i −0.989450 0.144873i
\(47\) 5.63621i 0.822126i −0.911607 0.411063i \(-0.865158\pi\)
0.911607 0.411063i \(-0.134842\pi\)
\(48\) 3.89110 0.927014i 0.561632 0.133803i
\(49\) 2.84499 1.82836i 0.406427 0.261195i
\(50\) −3.63672 1.56177i −0.514310 0.220868i
\(51\) 2.91088 + 6.37393i 0.407604 + 0.892529i
\(52\) −0.400760 + 0.137781i −0.0555754 + 0.0191067i
\(53\) 0.159333 + 0.542639i 0.0218861 + 0.0745372i 0.969712 0.244251i \(-0.0785422\pi\)
−0.947826 + 0.318789i \(0.896724\pi\)
\(54\) −0.616622 1.27270i −0.0839117 0.173193i
\(55\) 0.567392 + 0.259119i 0.0765071 + 0.0349396i
\(56\) 8.52895 + 3.21119i 1.13973 + 0.429113i
\(57\) −6.38696 + 5.53434i −0.845974 + 0.733041i
\(58\) 12.8939 2.15456i 1.69305 0.282908i
\(59\) 1.54849 5.27366i 0.201596 0.686572i −0.795183 0.606370i \(-0.792625\pi\)
0.996779 0.0802021i \(-0.0255566\pi\)
\(60\) 2.96431 0.135088i 0.382691 0.0174398i
\(61\) −3.24731 + 5.05292i −0.415776 + 0.646960i −0.984463 0.175594i \(-0.943815\pi\)
0.568687 + 0.822554i \(0.307452\pi\)
\(62\) −1.05355 0.283461i −0.133801 0.0359996i
\(63\) 0.458551 3.18929i 0.0577720 0.401813i
\(64\) 2.20638 + 7.68972i 0.275798 + 0.961216i
\(65\) −0.311182 + 0.0447413i −0.0385974 + 0.00554947i
\(66\) 0.594395 0.0135367i 0.0731650 0.00166626i
\(67\) 9.31219 10.7468i 1.13767 1.31294i 0.194391 0.980924i \(-0.437727\pi\)
0.943275 0.332012i \(-0.107727\pi\)
\(68\) −12.4696 + 6.39606i −1.51216 + 0.775636i
\(69\) −4.76279 + 0.561953i −0.573373 + 0.0676511i
\(70\) 5.76928 + 3.52471i 0.689560 + 0.421284i
\(71\) 2.30409 + 1.99650i 0.273445 + 0.236941i 0.780778 0.624809i \(-0.214823\pi\)
−0.507333 + 0.861750i \(0.669369\pi\)
\(72\) 2.48663 1.34784i 0.293052 0.158845i
\(73\) 1.08496 + 7.54605i 0.126985 + 0.883199i 0.949346 + 0.314233i \(0.101747\pi\)
−0.822361 + 0.568966i \(0.807344\pi\)
\(74\) −1.06571 + 8.83608i −0.123887 + 1.02717i
\(75\) −2.77016 0.398290i −0.319871 0.0459905i
\(76\) −11.6387 12.2568i −1.33505 1.40595i
\(77\) 1.13956 + 0.732351i 0.129865 + 0.0834591i
\(78\) −0.248336 + 0.167706i −0.0281185 + 0.0189890i
\(79\) 6.15059 + 1.80598i 0.691996 + 0.203188i 0.608775 0.793343i \(-0.291661\pi\)
0.0832207 + 0.996531i \(0.473479\pi\)
\(80\) 0.539793 + 5.91018i 0.0603507 + 0.660778i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −1.68620 + 1.52969i −0.186210 + 0.168926i
\(83\) −0.581189 + 1.27263i −0.0637938 + 0.139689i −0.938843 0.344344i \(-0.888101\pi\)
0.875050 + 0.484033i \(0.160829\pi\)
\(84\) 6.41372 + 0.625770i 0.699794 + 0.0682771i
\(85\) −9.97534 + 2.92903i −1.08198 + 0.317697i
\(86\) −6.24329 5.16572i −0.673231 0.557033i
\(87\) 8.40842 3.84000i 0.901477 0.411691i
\(88\) 0.0811643 + 1.18633i 0.00865214 + 0.126463i
\(89\) 3.35040 + 5.21332i 0.355142 + 0.552611i 0.972154 0.234342i \(-0.0752936\pi\)
−0.617013 + 0.786953i \(0.711657\pi\)
\(90\) 1.99929 0.636833i 0.210743 0.0671281i
\(91\) −0.682733 −0.0715698
\(92\) −1.55639 9.46455i −0.162264 0.986747i
\(93\) −0.771466 −0.0799973
\(94\) 7.59482 2.41918i 0.783346 0.249520i
\(95\) −6.77907 10.5484i −0.695518 1.08225i
\(96\) 2.91930 + 4.84538i 0.297950 + 0.494529i
\(97\) 9.45205 4.31661i 0.959711 0.438285i 0.126944 0.991910i \(-0.459483\pi\)
0.832766 + 0.553625i \(0.186756\pi\)
\(98\) 3.68486 + 3.04887i 0.372227 + 0.307982i
\(99\) 0.403380 0.118443i 0.0405413 0.0119040i
\(100\) 0.543534 5.57085i 0.0543534 0.557085i
\(101\) 5.08476 11.1341i 0.505953 1.10788i −0.468536 0.883444i \(-0.655218\pi\)
0.974489 0.224437i \(-0.0720544\pi\)
\(102\) −7.33949 + 6.65825i −0.726718 + 0.659265i
\(103\) 0.766093 + 0.884118i 0.0754854 + 0.0871148i 0.792236 0.610215i \(-0.208917\pi\)
−0.716751 + 0.697330i \(0.754371\pi\)
\(104\) −0.357675 0.480887i −0.0350729 0.0471549i
\(105\) 4.58695 + 1.34685i 0.447640 + 0.131439i
\(106\) −0.662820 + 0.447615i −0.0643787 + 0.0434762i
\(107\) 3.07215 + 1.97435i 0.296996 + 0.190868i 0.680649 0.732609i \(-0.261698\pi\)
−0.383653 + 0.923477i \(0.625334\pi\)
\(108\) 1.45031 1.37717i 0.139556 0.132519i
\(109\) −11.7896 1.69509i −1.12924 0.162360i −0.447729 0.894169i \(-0.647767\pi\)
−0.681510 + 0.731809i \(0.738676\pi\)
\(110\) −0.105628 + 0.875783i −0.0100712 + 0.0835026i
\(111\) 0.895634 + 6.22927i 0.0850098 + 0.591256i
\(112\) −0.666283 + 12.8711i −0.0629578 + 1.21621i
\(113\) 2.47819 + 2.14736i 0.233128 + 0.202007i 0.763589 0.645703i \(-0.223436\pi\)
−0.530460 + 0.847710i \(0.677981\pi\)
\(114\) −10.1990 6.23101i −0.955221 0.583588i
\(115\) 0.180393 7.11326i 0.0168217 0.663315i
\(116\) 8.43761 + 16.4498i 0.783412 + 1.52732i
\(117\) −0.138759 + 0.160137i −0.0128283 + 0.0148047i
\(118\) 7.77092 0.176975i 0.715371 0.0162918i
\(119\) −22.3479 + 3.21314i −2.04862 + 0.294548i
\(120\) 1.45438 + 3.93644i 0.132766 + 0.359346i
\(121\) 1.54031 10.7131i 0.140028 0.973917i
\(122\) −8.20265 2.20695i −0.742633 0.199808i
\(123\) −0.870351 + 1.35429i −0.0784769 + 0.122113i
\(124\) −0.0702409 1.54133i −0.00630782 0.138416i
\(125\) 3.25988 11.1021i 0.291572 0.993003i
\(126\) 4.49440 0.751012i 0.400393 0.0669055i
\(127\) −5.19977 + 4.50563i −0.461405 + 0.399810i −0.854306 0.519771i \(-0.826017\pi\)
0.392900 + 0.919581i \(0.371472\pi\)
\(128\) −9.41491 + 6.27371i −0.832169 + 0.554523i
\(129\) −5.21209 2.38028i −0.458899 0.209572i
\(130\) −0.193855 0.400116i −0.0170022 0.0350925i
\(131\) −4.02849 13.7198i −0.351971 1.19870i −0.925255 0.379346i \(-0.876149\pi\)
0.573284 0.819356i \(-0.305669\pi\)
\(132\) 0.273368 + 0.795140i 0.0237936 + 0.0692081i
\(133\) −11.3119 24.7696i −0.980867 2.14780i
\(134\) 18.4784 + 7.93545i 1.59629 + 0.685519i
\(135\) 1.24816 0.802146i 0.107425 0.0690377i
\(136\) −13.9709 14.0575i −1.19800 1.20542i
\(137\) 16.4540i 1.40576i 0.711309 + 0.702879i \(0.248102\pi\)
−0.711309 + 0.702879i \(0.751898\pi\)
\(138\) −2.80153 6.17669i −0.238482 0.525794i
\(139\) 20.3468i 1.72580i −0.505377 0.862899i \(-0.668647\pi\)
0.505377 0.862899i \(-0.331353\pi\)
\(140\) −2.27327 + 9.28701i −0.192126 + 0.784895i
\(141\) 4.74148 3.04717i 0.399305 0.256618i
\(142\) −1.70133 + 3.96171i −0.142773 + 0.332459i
\(143\) −0.0370057 0.0810312i −0.00309457 0.00677617i
\(144\) 2.88354 + 2.77222i 0.240295 + 0.231018i
\(145\) 3.86394 + 13.1594i 0.320883 + 1.09283i
\(146\) −9.70266 + 4.70091i −0.802997 + 0.389050i
\(147\) 3.07624 + 1.40487i 0.253724 + 0.115872i
\(148\) −12.3641 + 2.35658i −1.01632 + 0.193710i
\(149\) −11.9193 + 10.3281i −0.976466 + 0.846113i −0.988099 0.153819i \(-0.950843\pi\)
0.0116325 + 0.999932i \(0.496297\pi\)
\(150\) −0.652317 3.90376i −0.0532614 0.318741i
\(151\) −3.96235 + 13.4945i −0.322452 + 1.09817i 0.625624 + 0.780125i \(0.284844\pi\)
−0.948076 + 0.318044i \(0.896974\pi\)
\(152\) 11.5205 20.9441i 0.934436 1.69879i
\(153\) −3.78835 + 5.89479i −0.306270 + 0.476566i
\(154\) −0.497723 + 1.84990i −0.0401076 + 0.149069i
\(155\) 0.162896 1.13297i 0.0130842 0.0910023i
\(156\) −0.332576 0.262651i −0.0266274 0.0210289i
\(157\) −11.2058 + 1.61114i −0.894317 + 0.128583i −0.574123 0.818769i \(-0.694657\pi\)
−0.320194 + 0.947352i \(0.603748\pi\)
\(158\) 0.206403 + 9.06312i 0.0164205 + 0.721023i
\(159\) −0.370355 + 0.427413i −0.0293711 + 0.0338960i
\(160\) −7.73230 + 3.26415i −0.611292 + 0.258054i
\(161\) 2.58619 15.2346i 0.203820 1.20066i
\(162\) 0.737296 1.20681i 0.0579274 0.0948161i
\(163\) 5.51409 + 4.77799i 0.431897 + 0.374241i 0.843506 0.537120i \(-0.180488\pi\)
−0.411609 + 0.911361i \(0.635033\pi\)
\(164\) −2.78502 1.61559i −0.217474 0.126157i
\(165\) 0.0887703 + 0.617411i 0.00691076 + 0.0480654i
\(166\) −1.96433 0.236917i −0.152462 0.0183883i
\(167\) 14.9308 + 2.14672i 1.15538 + 0.166118i 0.693251 0.720696i \(-0.256178\pi\)
0.462126 + 0.886814i \(0.347087\pi\)
\(168\) 1.90968 + 8.91111i 0.147335 + 0.687507i
\(169\) −10.8985 7.00406i −0.838348 0.538774i
\(170\) −8.22851 12.1846i −0.631098 0.934518i
\(171\) −8.10883 2.38097i −0.620098 0.182077i
\(172\) 4.28107 10.6301i 0.326429 0.810537i
\(173\) −0.751548 0.867332i −0.0571391 0.0659421i 0.726460 0.687208i \(-0.241164\pi\)
−0.783600 + 0.621266i \(0.786619\pi\)
\(174\) 8.78349 + 9.68218i 0.665875 + 0.734004i
\(175\) 3.74600 8.20260i 0.283171 0.620059i
\(176\) −1.56374 + 0.618566i −0.117872 + 0.0466261i
\(177\) 5.27366 1.54849i 0.396392 0.116391i
\(178\) −5.58692 + 6.75235i −0.418757 + 0.506110i
\(179\) −10.4533 + 4.77386i −0.781317 + 0.356815i −0.765812 0.643064i \(-0.777663\pi\)
−0.0155045 + 0.999880i \(0.504935\pi\)
\(180\) 1.71627 + 2.42070i 0.127923 + 0.180429i
\(181\) −2.99910 4.66670i −0.222922 0.346873i 0.711720 0.702463i \(-0.247916\pi\)
−0.934642 + 0.355590i \(0.884280\pi\)
\(182\) −0.293043 0.919986i −0.0217218 0.0681939i
\(183\) −6.00642 −0.444007
\(184\) 12.0855 6.15962i 0.890954 0.454093i
\(185\) −9.33738 −0.686498
\(186\) −0.331130 1.03955i −0.0242796 0.0762238i
\(187\) −1.59266 2.47823i −0.116467 0.181226i
\(188\) 6.51972 + 9.19570i 0.475500 + 0.670665i
\(189\) 2.93091 1.33850i 0.213193 0.0973618i
\(190\) 11.3043 13.6624i 0.820103 0.991177i
\(191\) 18.6752 5.48354i 1.35129 0.396775i 0.475606 0.879658i \(-0.342229\pi\)
0.875685 + 0.482883i \(0.160410\pi\)
\(192\) −5.27615 + 6.01351i −0.380773 + 0.433988i
\(193\) −7.06932 + 15.4796i −0.508861 + 1.11425i 0.464626 + 0.885507i \(0.346189\pi\)
−0.973487 + 0.228743i \(0.926539\pi\)
\(194\) 9.87367 + 10.8839i 0.708888 + 0.781419i
\(195\) −0.205877 0.237594i −0.0147431 0.0170145i
\(196\) −2.52674 + 6.27400i −0.180481 + 0.448143i
\(197\) 14.4376 + 4.23927i 1.02864 + 0.302036i 0.752157 0.658983i \(-0.229013\pi\)
0.276482 + 0.961019i \(0.410831\pi\)
\(198\) 0.332742 + 0.492719i 0.0236470 + 0.0350160i
\(199\) −4.30299 2.76537i −0.305031 0.196032i 0.379166 0.925329i \(-0.376211\pi\)
−0.684197 + 0.729297i \(0.739847\pi\)
\(200\) 7.74004 1.65871i 0.547304 0.117289i
\(201\) 14.0754 + 2.02373i 0.992800 + 0.142743i
\(202\) 17.1857 + 2.07276i 1.20918 + 0.145839i
\(203\) 4.23873 + 29.4810i 0.297501 + 2.06916i
\(204\) −12.1223 7.03214i −0.848730 0.492348i
\(205\) −1.80513 1.56415i −0.126076 0.109245i
\(206\) −0.862530 + 1.41180i −0.0600953 + 0.0983645i
\(207\) −3.04771 3.70290i −0.211830 0.257370i
\(208\) 0.494477 0.688376i 0.0342858 0.0477303i
\(209\) 2.32669 2.68514i 0.160941 0.185735i
\(210\) 0.153930 + 6.75903i 0.0106222 + 0.466417i
\(211\) −6.87863 + 0.988997i −0.473544 + 0.0680854i −0.374955 0.927043i \(-0.622342\pi\)
−0.0985888 + 0.995128i \(0.531433\pi\)
\(212\) −0.887659 0.701027i −0.0609647 0.0481467i
\(213\) −0.433881 + 3.01771i −0.0297291 + 0.206770i
\(214\) −1.34182 + 4.98717i −0.0917246 + 0.340916i
\(215\) 4.59621 7.15184i 0.313459 0.487751i
\(216\) 2.47825 + 1.36318i 0.168624 + 0.0927530i
\(217\) 0.700311 2.38504i 0.0475402 0.161907i
\(218\) −2.77621 16.6141i −0.188029 1.12525i
\(219\) −5.76157 + 4.99243i −0.389331 + 0.337357i
\(220\) −1.22546 + 0.233571i −0.0826205 + 0.0157473i
\(221\) 1.35058 + 0.616790i 0.0908499 + 0.0414898i
\(222\) −8.00955 + 3.88061i −0.537566 + 0.260449i
\(223\) 3.69076 + 12.5696i 0.247151 + 0.841720i 0.985842 + 0.167676i \(0.0536262\pi\)
−0.738691 + 0.674044i \(0.764556\pi\)
\(224\) −17.6299 + 4.62674i −1.17795 + 0.309137i
\(225\) −1.16260 2.54574i −0.0775068 0.169716i
\(226\) −1.82989 + 4.26106i −0.121722 + 0.283442i
\(227\) −0.519330 + 0.333753i −0.0344692 + 0.0221520i −0.557762 0.830001i \(-0.688340\pi\)
0.523293 + 0.852153i \(0.324703\pi\)
\(228\) 4.01870 16.4176i 0.266145 1.08728i
\(229\) 18.4305i 1.21792i 0.793201 + 0.608959i \(0.208413\pi\)
−0.793201 + 0.608959i \(0.791587\pi\)
\(230\) 9.66258 2.81008i 0.637132 0.185291i
\(231\) 1.35460i 0.0891260i
\(232\) −18.5446 + 18.4303i −1.21751 + 1.21001i
\(233\) 21.6010 13.8821i 1.41513 0.909448i 0.415128 0.909763i \(-0.363737\pi\)
1.00000 0.000315409i \(0.000100398\pi\)
\(234\) −0.275344 0.118245i −0.0179998 0.00772990i
\(235\) 3.47387 + 7.60672i 0.226611 + 0.496208i
\(236\) 3.57392 + 10.3954i 0.232642 + 0.676682i
\(237\) 1.80598 + 6.15059i 0.117311 + 0.399524i
\(238\) −13.9219 28.7347i −0.902422 1.86259i
\(239\) 8.50600 + 3.88456i 0.550207 + 0.251271i 0.671065 0.741399i \(-0.265837\pi\)
−0.120858 + 0.992670i \(0.538564\pi\)
\(240\) −4.68012 + 3.64939i −0.302101 + 0.235567i
\(241\) 6.60340 5.72187i 0.425362 0.368578i −0.415714 0.909495i \(-0.636468\pi\)
0.841076 + 0.540917i \(0.181923\pi\)
\(242\) 15.0971 2.52271i 0.970477 0.162166i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) −0.546876 12.0004i −0.0350101 0.768245i
\(245\) −2.71273 + 4.22110i −0.173310 + 0.269676i
\(246\) −2.19849 0.591511i −0.140171 0.0377134i
\(247\) −0.254847 + 1.77250i −0.0162156 + 0.112782i
\(248\) 2.04680 0.756223i 0.129972 0.0480202i
\(249\) −1.38482 + 0.199107i −0.0877592 + 0.0126179i
\(250\) 16.3594 0.372567i 1.03466 0.0235632i
\(251\) 7.57484 8.74183i 0.478120 0.551780i −0.464533 0.885556i \(-0.653778\pi\)
0.942652 + 0.333776i \(0.108323\pi\)
\(252\) 2.94109 + 5.73388i 0.185271 + 0.361201i
\(253\) 1.94832 0.518807i 0.122490 0.0326171i
\(254\) −8.30321 5.07281i −0.520990 0.318296i
\(255\) −7.85713 6.80824i −0.492033 0.426349i
\(256\) −12.4949 9.99383i −0.780933 0.624615i
\(257\) 3.31066 + 23.0261i 0.206513 + 1.43633i 0.784421 + 0.620228i \(0.212960\pi\)
−0.577908 + 0.816102i \(0.696131\pi\)
\(258\) 0.970301 8.04498i 0.0604083 0.500859i
\(259\) −20.0713 2.88581i −1.24717 0.179316i
\(260\) 0.455951 0.432959i 0.0282769 0.0268510i
\(261\) 7.77635 + 4.99755i 0.481344 + 0.309341i
\(262\) 16.7583 11.3172i 1.03533 0.699181i
\(263\) 5.57075 + 1.63572i 0.343507 + 0.100863i 0.448936 0.893564i \(-0.351803\pi\)
−0.105428 + 0.994427i \(0.533621\pi\)
\(264\) −0.954120 + 0.709656i −0.0587220 + 0.0436763i
\(265\) −0.549494 0.634150i −0.0337551 0.0389555i
\(266\) 28.5219 25.8745i 1.74879 1.58647i
\(267\) −2.57436 + 5.63707i −0.157549 + 0.344983i
\(268\) −2.76173 + 28.3058i −0.168699 + 1.72905i
\(269\) −18.1363 + 5.32531i −1.10579 + 0.324690i −0.783151 0.621831i \(-0.786389\pi\)
−0.322641 + 0.946521i \(0.604571\pi\)
\(270\) 1.61663 + 1.33761i 0.0983852 + 0.0814042i
\(271\) 7.97238 3.64086i 0.484287 0.221167i −0.158282 0.987394i \(-0.550596\pi\)
0.642570 + 0.766227i \(0.277868\pi\)
\(272\) 12.9460 24.8597i 0.784965 1.50734i
\(273\) −0.369113 0.574351i −0.0223397 0.0347613i
\(274\) −22.1718 + 7.06240i −1.33945 + 0.426655i
\(275\) 1.17658 0.0709505
\(276\) 7.12064 6.42624i 0.428612 0.386814i
\(277\) 29.2025 1.75461 0.877305 0.479934i \(-0.159339\pi\)
0.877305 + 0.479934i \(0.159339\pi\)
\(278\) 27.4175 8.73330i 1.64439 0.523789i
\(279\) −0.417086 0.648998i −0.0249703 0.0388545i
\(280\) −13.4900 + 0.922940i −0.806183 + 0.0551562i
\(281\) −15.7496 + 7.19260i −0.939542 + 0.429075i −0.825501 0.564401i \(-0.809107\pi\)
−0.114042 + 0.993476i \(0.536380\pi\)
\(282\) 6.14122 + 5.08126i 0.365704 + 0.302585i
\(283\) 9.37701 2.75334i 0.557405 0.163669i 0.00911719 0.999958i \(-0.497098\pi\)
0.548288 + 0.836289i \(0.315280\pi\)
\(284\) −6.06867 0.592105i −0.360109 0.0351349i
\(285\) 5.20887 11.4058i 0.308547 0.675623i
\(286\) 0.0933063 0.0846457i 0.00551732 0.00500520i
\(287\) −3.39682 3.92014i −0.200508 0.231398i
\(288\) −2.49790 + 5.07548i −0.147190 + 0.299075i
\(289\) 30.7999 + 9.04367i 1.81176 + 0.531981i
\(290\) −16.0738 + 10.8550i −0.943888 + 0.637425i
\(291\) 8.74153 + 5.61784i 0.512437 + 0.329324i
\(292\) −10.4991 11.0566i −0.614413 0.647041i
\(293\) −28.9307 4.15961i −1.69015 0.243007i −0.770978 0.636861i \(-0.780232\pi\)
−0.919173 + 0.393854i \(0.871142\pi\)
\(294\) −0.572683 + 4.74824i −0.0333995 + 0.276923i
\(295\) 1.16055 + 8.07182i 0.0675700 + 0.469959i
\(296\) −8.48243 15.6492i −0.493031 0.909589i
\(297\) 0.317725 + 0.275310i 0.0184363 + 0.0159751i
\(298\) −19.0332 11.6283i −1.10256 0.673607i
\(299\) −0.684723 + 0.750872i −0.0395985 + 0.0434240i
\(300\) 4.98035 2.55458i 0.287541 0.147489i
\(301\) 12.0902 13.9528i 0.696866 0.804226i
\(302\) −19.8847 + 0.452852i −1.14423 + 0.0260587i
\(303\) 12.1156 1.74196i 0.696023 0.100073i
\(304\) 33.1671 + 6.53427i 1.90227 + 0.374766i
\(305\) 1.26827 8.82098i 0.0726207 0.505088i
\(306\) −9.56930 2.57465i −0.547041 0.147183i
\(307\) 11.6720 18.1620i 0.666156 1.03656i −0.329564 0.944133i \(-0.606902\pi\)
0.995720 0.0924251i \(-0.0294619\pi\)
\(308\) −2.70639 + 0.123334i −0.154211 + 0.00702762i
\(309\) −0.329587 + 1.12247i −0.0187495 + 0.0638550i
\(310\) 1.59660 0.266791i 0.0906808 0.0151527i
\(311\) −0.378874 + 0.328297i −0.0214840 + 0.0186160i −0.665537 0.746365i \(-0.731797\pi\)
0.644053 + 0.764981i \(0.277252\pi\)
\(312\) 0.211175 0.560883i 0.0119554 0.0317537i
\(313\) 11.9484 + 5.45663i 0.675361 + 0.308427i 0.723411 0.690418i \(-0.242573\pi\)
−0.0480497 + 0.998845i \(0.515301\pi\)
\(314\) −6.98078 14.4083i −0.393948 0.813106i
\(315\) 1.34685 + 4.58695i 0.0758863 + 0.258445i
\(316\) −12.1240 + 4.16821i −0.682028 + 0.234480i
\(317\) 1.04203 + 2.28173i 0.0585263 + 0.128155i 0.936635 0.350306i \(-0.113922\pi\)
−0.878109 + 0.478460i \(0.841195\pi\)
\(318\) −0.734905 0.315601i −0.0412114 0.0176980i
\(319\) −3.26925 + 2.10102i −0.183043 + 0.117635i
\(320\) −7.71733 9.01827i −0.431412 0.504137i
\(321\) 3.65187i 0.203828i
\(322\) 21.6388 3.05413i 1.20588 0.170200i
\(323\) 59.2186i 3.29501i
\(324\) 1.94265 + 0.475520i 0.107925 + 0.0264178i
\(325\) −0.498872 + 0.320606i −0.0276724 + 0.0177840i
\(326\) −4.07160 + 9.48108i −0.225505 + 0.525109i
\(327\) −4.94794 10.8345i −0.273622 0.599148i
\(328\) 0.981626 4.44628i 0.0542012 0.245505i
\(329\) 5.11637 + 17.4247i 0.282074 + 0.960657i
\(330\) −0.793862 + 0.384624i −0.0437007 + 0.0211729i
\(331\) −2.68974 1.22836i −0.147841 0.0675168i 0.340120 0.940382i \(-0.389532\pi\)
−0.487962 + 0.872865i \(0.662259\pi\)
\(332\) −0.523886 2.74863i −0.0287520 0.150851i
\(333\) −4.75618 + 4.12125i −0.260637 + 0.225843i
\(334\) 3.51589 + 21.0407i 0.192381 + 1.15130i
\(335\) −5.94408 + 20.2437i −0.324760 + 1.10603i
\(336\) −11.1881 + 6.39814i −0.610360 + 0.349047i
\(337\) 12.2367 19.0407i 0.666576 1.03721i −0.329097 0.944296i \(-0.606744\pi\)
0.995674 0.0929171i \(-0.0296192\pi\)
\(338\) 4.76012 17.6921i 0.258916 0.962324i
\(339\) −0.466666 + 3.24574i −0.0253458 + 0.176284i
\(340\) 12.8870 16.3179i 0.698895 0.884960i
\(341\) 0.321031 0.0461573i 0.0173848 0.00249956i
\(342\) −0.272118 11.9487i −0.0147145 0.646109i
\(343\) 7.63437 8.81053i 0.412217 0.475724i
\(344\) 16.1616 + 1.20611i 0.871377 + 0.0650288i
\(345\) 6.08158 3.69396i 0.327421 0.198876i
\(346\) 0.846154 1.38499i 0.0454895 0.0744576i
\(347\) −11.8100 10.2335i −0.633996 0.549361i 0.277471 0.960734i \(-0.410504\pi\)
−0.911467 + 0.411373i \(0.865049\pi\)
\(348\) −9.27672 + 15.9916i −0.497284 + 0.857239i
\(349\) −2.53016 17.5976i −0.135436 0.941980i −0.938301 0.345819i \(-0.887601\pi\)
0.802865 0.596161i \(-0.203308\pi\)
\(350\) 12.6609 + 1.52703i 0.676754 + 0.0816229i
\(351\) −0.209735 0.0301553i −0.0111948 0.00160957i
\(352\) −1.50471 1.84165i −0.0802014 0.0981602i
\(353\) 6.85027 + 4.40240i 0.364603 + 0.234316i 0.710096 0.704105i \(-0.248652\pi\)
−0.345492 + 0.938422i \(0.612288\pi\)
\(354\) 4.35016 + 6.44163i 0.231208 + 0.342369i
\(355\) −4.34017 1.27439i −0.230352 0.0676376i
\(356\) −11.4968 4.63014i −0.609332 0.245397i
\(357\) −14.7852 17.0631i −0.782517 0.903073i
\(358\) −10.9196 12.0368i −0.577118 0.636166i
\(359\) −3.15921 + 6.91770i −0.166737 + 0.365102i −0.974494 0.224412i \(-0.927954\pi\)
0.807758 + 0.589515i \(0.200681\pi\)
\(360\) −2.52525 + 3.35170i −0.133092 + 0.176650i
\(361\) −50.2987 + 14.7690i −2.64730 + 0.777318i
\(362\) 5.00112 6.04435i 0.262853 0.317684i
\(363\) 9.84518 4.49614i 0.516738 0.235986i
\(364\) 1.11390 0.789755i 0.0583845 0.0413944i
\(365\) −6.11528 9.51556i −0.320088 0.498067i
\(366\) −2.57808 8.09367i −0.134758 0.423063i
\(367\) −23.3219 −1.21739 −0.608696 0.793403i \(-0.708307\pi\)
−0.608696 + 0.793403i \(0.708307\pi\)
\(368\) 13.4875 + 13.6414i 0.703083 + 0.711108i
\(369\) −1.60985 −0.0838055
\(370\) −4.00780 12.5822i −0.208356 0.654116i
\(371\) −0.985180 1.53297i −0.0511480 0.0795878i
\(372\) 1.25868 0.892397i 0.0652593 0.0462687i
\(373\) 24.6022 11.2355i 1.27385 0.581750i 0.340344 0.940301i \(-0.389456\pi\)
0.933510 + 0.358551i \(0.116729\pi\)
\(374\) 2.65582 3.20983i 0.137329 0.165976i
\(375\) 11.1021 3.25988i 0.573311 0.168339i
\(376\) −9.59284 + 12.7323i −0.494713 + 0.656620i
\(377\) 0.813663 1.78167i 0.0419058 0.0917608i
\(378\) 3.06165 + 3.37491i 0.157474 + 0.173586i
\(379\) 9.81466 + 11.3267i 0.504145 + 0.581814i 0.949590 0.313495i \(-0.101500\pi\)
−0.445445 + 0.895309i \(0.646954\pi\)
\(380\) 23.2623 + 9.36845i 1.19333 + 0.480591i
\(381\) −6.60159 1.93840i −0.338209 0.0993073i
\(382\) 15.4049 + 22.8113i 0.788183 + 1.16713i
\(383\) −28.6513 18.4130i −1.46401 0.940863i −0.998439 0.0558529i \(-0.982212\pi\)
−0.465572 0.885010i \(-0.654151\pi\)
\(384\) −10.3679 4.52851i −0.529083 0.231094i
\(385\) −1.98935 0.286026i −0.101387 0.0145772i
\(386\) −23.8932 2.88174i −1.21613 0.146677i
\(387\) −0.815448 5.67157i −0.0414516 0.288302i
\(388\) −10.4281 + 17.9764i −0.529408 + 0.912615i
\(389\) −12.4389 10.7784i −0.630679 0.546486i 0.279792 0.960061i \(-0.409735\pi\)
−0.910470 + 0.413575i \(0.864280\pi\)
\(390\) 0.231793 0.379400i 0.0117373 0.0192117i
\(391\) −18.8792 + 27.8007i −0.954761 + 1.40594i
\(392\) −9.53878 0.711857i −0.481781 0.0359542i
\(393\) 9.36384 10.8064i 0.472343 0.545113i
\(394\) 0.484502 + 21.2744i 0.0244088 + 1.07179i
\(395\) −9.41405 + 1.35354i −0.473672 + 0.0681038i
\(396\) −0.521121 + 0.659857i −0.0261873 + 0.0331591i
\(397\) 1.61003 11.1980i 0.0808049 0.562011i −0.908693 0.417465i \(-0.862919\pi\)
0.989498 0.144546i \(-0.0461721\pi\)
\(398\) 1.87941 6.98526i 0.0942062 0.350139i
\(399\) 14.7219 22.9077i 0.737015 1.14682i
\(400\) 5.55731 + 9.71779i 0.277866 + 0.485889i
\(401\) −1.22252 + 4.16352i −0.0610498 + 0.207916i −0.984369 0.176116i \(-0.943647\pi\)
0.923320 + 0.384032i \(0.125465\pi\)
\(402\) 3.31446 + 19.8353i 0.165310 + 0.989293i
\(403\) −0.123540 + 0.107048i −0.00615397 + 0.00533245i
\(404\) 4.58342 + 24.0475i 0.228034 + 1.19641i
\(405\) 1.34962 + 0.616349i 0.0670630 + 0.0306266i
\(406\) −37.9065 + 18.3656i −1.88127 + 0.911470i
\(407\) −0.745402 2.53861i −0.0369482 0.125834i
\(408\) 4.27270 19.3532i 0.211530 0.958125i
\(409\) 16.5335 + 36.2033i 0.817529 + 1.79014i 0.570881 + 0.821033i \(0.306602\pi\)
0.246647 + 0.969105i \(0.420671\pi\)
\(410\) 1.33290 3.10379i 0.0658274 0.153285i
\(411\) −13.8420 + 8.89569i −0.682774 + 0.438792i
\(412\) −2.27262 0.556291i −0.111964 0.0274065i
\(413\) 17.7095i 0.871430i
\(414\) 3.68154 5.69616i 0.180938 0.279951i
\(415\) 2.07577i 0.101896i
\(416\) 1.13983 + 0.370844i 0.0558847 + 0.0181821i
\(417\) 17.1169 11.0003i 0.838216 0.538689i
\(418\) 4.61691 + 1.98271i 0.225820 + 0.0969773i
\(419\) −3.59136 7.86398i −0.175449 0.384180i 0.801394 0.598137i \(-0.204092\pi\)
−0.976843 + 0.213957i \(0.931365\pi\)
\(420\) −9.04175 + 3.10854i −0.441192 + 0.151681i
\(421\) 3.92877 + 13.3801i 0.191476 + 0.652108i 0.998132 + 0.0610874i \(0.0194568\pi\)
−0.806656 + 0.591021i \(0.798725\pi\)
\(422\) −4.28513 8.84448i −0.208597 0.430543i
\(423\) 5.12688 + 2.34137i 0.249277 + 0.113841i
\(424\) 0.563635 1.49702i 0.0273725 0.0727018i
\(425\) −14.8207 + 12.8422i −0.718909 + 0.622938i
\(426\) −4.25261 + 0.710609i −0.206040 + 0.0344291i
\(427\) 5.45243 18.5693i 0.263861 0.898629i
\(428\) −7.29618 + 0.332498i −0.352674 + 0.0160719i
\(429\) 0.0481610 0.0749399i 0.00232523 0.00361813i
\(430\) 11.6099 + 3.12369i 0.559880 + 0.150638i
\(431\) −1.89714 + 13.1949i −0.0913822 + 0.635577i 0.891729 + 0.452569i \(0.149492\pi\)
−0.983111 + 0.183008i \(0.941417\pi\)
\(432\) −0.773179 + 3.92456i −0.0371996 + 0.188821i
\(433\) 1.11974 0.160994i 0.0538112 0.00773689i −0.115357 0.993324i \(-0.536801\pi\)
0.169168 + 0.985587i \(0.445892\pi\)
\(434\) 3.51444 0.0800378i 0.168699 0.00384194i
\(435\) −8.98136 + 10.3650i −0.430623 + 0.496966i
\(436\) 21.1960 10.8721i 1.01510 0.520678i
\(437\) −38.5866 12.4010i −1.84585 0.593218i
\(438\) −9.20031 5.62089i −0.439608 0.268576i
\(439\) 0.0251059 + 0.0217544i 0.00119824 + 0.00103828i 0.655460 0.755230i \(-0.272475\pi\)
−0.654261 + 0.756268i \(0.727020\pi\)
\(440\) −0.840731 1.55106i −0.0400803 0.0739438i
\(441\) 0.481287 + 3.34742i 0.0229184 + 0.159401i
\(442\) −0.251429 + 2.08465i −0.0119593 + 0.0991569i
\(443\) −8.60265 1.23687i −0.408724 0.0587657i −0.0651135 0.997878i \(-0.520741\pi\)
−0.343611 + 0.939112i \(0.611650\pi\)
\(444\) −8.66701 9.12727i −0.411318 0.433161i
\(445\) −7.73498 4.97097i −0.366673 0.235647i
\(446\) −15.3534 + 10.3684i −0.727004 + 0.490960i
\(447\) −15.1326 4.44334i −0.715749 0.210163i
\(448\) −13.8017 21.7704i −0.652068 1.02856i
\(449\) −25.8794 29.8664i −1.22132 1.40948i −0.883603 0.468238i \(-0.844889\pi\)
−0.337722 0.941246i \(-0.609656\pi\)
\(450\) 2.93139 2.65930i 0.138187 0.125361i
\(451\) 0.281152 0.615637i 0.0132389 0.0289892i
\(452\) −6.52723 0.636845i −0.307015 0.0299547i
\(453\) −13.4945 + 3.96235i −0.634028 + 0.186167i
\(454\) −0.672642 0.556546i −0.0315686 0.0261200i
\(455\) 0.921427 0.420802i 0.0431972 0.0197275i
\(456\) 23.8478 1.63158i 1.11677 0.0764057i
\(457\) 2.78385 + 4.33175i 0.130223 + 0.202631i 0.900242 0.435390i \(-0.143390\pi\)
−0.770019 + 0.638021i \(0.779753\pi\)
\(458\) −24.8351 + 7.91074i −1.16047 + 0.369645i
\(459\) −7.00715 −0.327066
\(460\) 7.93399 + 11.8142i 0.369924 + 0.550841i
\(461\) 13.5417 0.630699 0.315350 0.948976i \(-0.397878\pi\)
0.315350 + 0.948976i \(0.397878\pi\)
\(462\) −1.82533 + 0.581422i −0.0849219 + 0.0270502i
\(463\) 22.4859 + 34.9888i 1.04501 + 1.62607i 0.738573 + 0.674174i \(0.235500\pi\)
0.306436 + 0.951891i \(0.400863\pi\)
\(464\) −32.7947 17.0782i −1.52245 0.792835i
\(465\) 1.04118 0.475492i 0.0482837 0.0220504i
\(466\) 27.9778 + 23.1489i 1.29605 + 1.07235i
\(467\) 20.6008 6.04896i 0.953294 0.279912i 0.232136 0.972683i \(-0.425429\pi\)
0.721158 + 0.692771i \(0.243610\pi\)
\(468\) 0.0411520 0.421780i 0.00190225 0.0194968i
\(469\) −19.0337 + 41.6779i −0.878893 + 1.92451i
\(470\) −8.75903 + 7.94603i −0.404024 + 0.366523i
\(471\) −7.41367 8.55583i −0.341604 0.394232i
\(472\) −12.4738 + 9.27780i −0.574155 + 0.427045i
\(473\) 2.31133 + 0.678666i 0.106275 + 0.0312051i
\(474\) −7.51279 + 5.07353i −0.345074 + 0.233035i
\(475\) −19.8972 12.7872i −0.912947 0.586715i
\(476\) 32.7446 31.0934i 1.50084 1.42516i
\(477\) −0.559791 0.0804859i −0.0256311 0.00368519i
\(478\) −1.58351 + 13.1292i −0.0724279 + 0.600516i
\(479\) −2.67014 18.5712i −0.122002 0.848542i −0.955283 0.295692i \(-0.904450\pi\)
0.833281 0.552849i \(-0.186459\pi\)
\(480\) −6.92638 4.74010i −0.316144 0.216355i
\(481\) 1.00779 + 0.873259i 0.0459515 + 0.0398172i
\(482\) 10.5446 + 6.44216i 0.480292 + 0.293432i
\(483\) 14.2144 6.06082i 0.646777 0.275777i
\(484\) 9.87935 + 19.2606i 0.449061 + 0.875481i
\(485\) −10.0961 + 11.6515i −0.458441 + 0.529069i
\(486\) 1.41385 0.0321989i 0.0641334 0.00146057i
\(487\) 11.3069 1.62569i 0.512365 0.0736670i 0.118717 0.992928i \(-0.462122\pi\)
0.393648 + 0.919261i \(0.371213\pi\)
\(488\) 15.9358 5.88774i 0.721381 0.266525i
\(489\) −1.03836 + 7.22193i −0.0469561 + 0.326587i
\(490\) −6.85231 1.84364i −0.309556 0.0832870i
\(491\) 2.40583 3.74354i 0.108574 0.168944i −0.782715 0.622380i \(-0.786166\pi\)
0.891289 + 0.453437i \(0.149802\pi\)
\(492\) −0.146575 3.21636i −0.00660810 0.145005i
\(493\) 18.2485 62.1487i 0.821872 2.79904i
\(494\) −2.49784 + 0.417388i −0.112383 + 0.0187792i
\(495\) −0.471406 + 0.408476i −0.0211881 + 0.0183596i
\(496\) 1.89755 + 2.43349i 0.0852023 + 0.109267i
\(497\) −8.93560 4.08075i −0.400816 0.183047i
\(498\) −0.862690 1.78059i −0.0386581 0.0797900i
\(499\) 6.11291 + 20.8187i 0.273651 + 0.931971i 0.975565 + 0.219709i \(0.0705109\pi\)
−0.701914 + 0.712262i \(0.747671\pi\)
\(500\) 7.52382 + 21.8844i 0.336476 + 0.978700i
\(501\) 6.26625 + 13.7212i 0.279955 + 0.613016i
\(502\) 15.0309 + 6.45495i 0.670864 + 0.288099i
\(503\) 31.7611 20.4116i 1.41616 0.910110i 0.416159 0.909292i \(-0.363376\pi\)
1.00000 0.000818457i \(-0.000260523\pi\)
\(504\) −6.46405 + 6.42423i −0.287932 + 0.286158i
\(505\) 18.1607i 0.808141i
\(506\) 1.53536 + 2.40269i 0.0682549 + 0.106813i
\(507\) 12.9551i 0.575356i
\(508\) 3.27172 13.3660i 0.145159 0.593019i
\(509\) 20.5188 13.1866i 0.909480 0.584488i −0.000107059 1.00000i \(-0.500034\pi\)
0.909588 + 0.415512i \(0.136398\pi\)
\(510\) 5.80169 13.5098i 0.256903 0.598222i
\(511\) −10.2043 22.3443i −0.451411 0.988452i
\(512\) 8.10365 21.1265i 0.358134 0.933670i
\(513\) −2.38097 8.10883i −0.105122 0.358014i
\(514\) −29.6068 + 14.3444i −1.30590 + 0.632705i
\(515\) −1.57886 0.721040i −0.0695727 0.0317728i
\(516\) 11.2571 2.14559i 0.495567 0.0944545i
\(517\) −1.79076 + 1.55171i −0.0787577 + 0.0682439i
\(518\) −4.72637 28.2848i −0.207665 1.24276i
\(519\) 0.323329 1.10116i 0.0141926 0.0483355i
\(520\) 0.779118 + 0.428561i 0.0341666 + 0.0187936i
\(521\) 0.475184 0.739400i 0.0208182 0.0323937i −0.830689 0.556737i \(-0.812053\pi\)
0.851507 + 0.524344i \(0.175689\pi\)
\(522\) −3.39645 + 12.6237i −0.148659 + 0.552525i
\(523\) 5.51944 38.3886i 0.241348 1.67861i −0.404026 0.914748i \(-0.632389\pi\)
0.645374 0.763867i \(-0.276702\pi\)
\(524\) 22.4431 + 17.7244i 0.980429 + 0.774292i
\(525\) 8.92571 1.28332i 0.389550 0.0560088i
\(526\) 0.186945 + 8.20870i 0.00815117 + 0.357916i
\(527\) −3.54003 + 4.08542i −0.154206 + 0.177964i
\(528\) −1.36579 0.981082i −0.0594385 0.0426961i
\(529\) −14.1614 18.1233i −0.615712 0.787971i
\(530\) 0.618665 1.01264i 0.0268731 0.0439861i
\(531\) 4.15382 + 3.59931i 0.180261 + 0.156197i
\(532\) 47.1082 + 27.3275i 2.04240 + 1.18480i
\(533\) 0.0485456 + 0.337642i 0.00210274 + 0.0146249i
\(534\) −8.70095 1.04942i −0.376527 0.0454127i
\(535\) −5.36312 0.771100i −0.231868 0.0333375i
\(536\) −39.3276 + 8.42802i −1.69869 + 0.364035i
\(537\) −9.66751 6.21293i −0.417184 0.268108i
\(538\) −14.9604 22.1531i −0.644988 0.955087i
\(539\) −1.36417 0.400557i −0.0587590 0.0172532i
\(540\) −1.10854 + 2.75255i −0.0477039 + 0.118451i
\(541\) 20.6782 + 23.8639i 0.889026 + 1.02599i 0.999484 + 0.0321097i \(0.0102226\pi\)
−0.110459 + 0.993881i \(0.535232\pi\)
\(542\) 8.32799 + 9.18008i 0.357718 + 0.394318i
\(543\) 2.30444 5.04601i 0.0988928 0.216545i
\(544\) 39.0553 + 6.77445i 1.67448 + 0.290452i
\(545\) 16.9562 4.97879i 0.726324 0.213268i
\(546\) 0.615510 0.743906i 0.0263414 0.0318362i
\(547\) −24.7536 + 11.3046i −1.05839 + 0.483348i −0.867073 0.498181i \(-0.834002\pi\)
−0.191312 + 0.981529i \(0.561274\pi\)
\(548\) −19.0332 26.8453i −0.813059 1.14677i
\(549\) −3.24731 5.05292i −0.138592 0.215653i
\(550\) 0.505014 + 1.58545i 0.0215338 + 0.0676037i
\(551\) 78.1206 3.32805
\(552\) 11.7157 + 6.83682i 0.498654 + 0.290994i
\(553\) −20.6544 −0.878314
\(554\) 12.5343 + 39.3505i 0.532533 + 1.67184i
\(555\) −5.04817 7.85510i −0.214283 0.333431i
\(556\) 23.5363 + 33.1967i 0.998163 + 1.40785i
\(557\) 10.3209 4.71342i 0.437312 0.199714i −0.184579 0.982818i \(-0.559092\pi\)
0.621891 + 0.783104i \(0.286365\pi\)
\(558\) 0.695506 0.840589i 0.0294431 0.0355850i
\(559\) −1.16493 + 0.342056i −0.0492715 + 0.0144674i
\(560\) −7.03387 17.7817i −0.297235 0.751415i
\(561\) 1.22376 2.67966i 0.0516673 0.113136i
\(562\) −16.4521 18.1354i −0.693991 0.764998i
\(563\) 5.16884 + 5.96516i 0.217841 + 0.251402i 0.854143 0.520038i \(-0.174082\pi\)
−0.636302 + 0.771440i \(0.719537\pi\)
\(564\) −4.21108 + 10.4563i −0.177319 + 0.440290i
\(565\) −4.66813 1.37069i −0.196390 0.0576652i
\(566\) 7.73495 + 11.4538i 0.325124 + 0.481438i
\(567\) 2.71059 + 1.74199i 0.113834 + 0.0731568i
\(568\) −1.80694 8.43170i −0.0758174 0.353786i
\(569\) −1.96863 0.283046i −0.0825292 0.0118659i 0.100927 0.994894i \(-0.467819\pi\)
−0.183456 + 0.983028i \(0.558728\pi\)
\(570\) 17.6052 + 2.12335i 0.737399 + 0.0889373i
\(571\) −3.99551 27.7894i −0.167207 1.16295i −0.884624 0.466306i \(-0.845585\pi\)
0.717417 0.696644i \(-0.245324\pi\)
\(572\) 0.154109 + 0.0893989i 0.00644364 + 0.00373796i
\(573\) 14.7096 + 12.7460i 0.614504 + 0.532470i
\(574\) 3.82441 6.25983i 0.159628 0.261280i
\(575\) −5.26433 12.3464i −0.219538 0.514880i
\(576\) −7.91138 1.18743i −0.329641 0.0494762i
\(577\) 16.9846 19.6012i 0.707077 0.816011i −0.282613 0.959234i \(-0.591201\pi\)
0.989690 + 0.143223i \(0.0457467\pi\)
\(578\) 1.03359 + 45.3848i 0.0429917 + 1.88776i
\(579\) −16.8443 + 2.42184i −0.700024 + 0.100648i
\(580\) −21.5263 17.0004i −0.893832 0.705902i
\(581\) 0.641539 4.46200i 0.0266155 0.185115i
\(582\) −3.81801 + 14.1905i −0.158262 + 0.588217i
\(583\) 0.128544 0.200018i 0.00532374 0.00828390i
\(584\) 10.3924 18.8933i 0.430042 0.781811i
\(585\) 0.0885717 0.301648i 0.00366199 0.0124716i
\(586\) −6.81259 40.7697i −0.281426 1.68418i
\(587\) 6.29180 5.45187i 0.259690 0.225023i −0.515278 0.857023i \(-0.672311\pi\)
0.774968 + 0.632000i \(0.217766\pi\)
\(588\) −6.64409 + 1.26635i −0.273998 + 0.0522236i
\(589\) −5.93061 2.70842i −0.244366 0.111598i
\(590\) −10.3787 + 5.02845i −0.427283 + 0.207018i
\(591\) 4.23927 + 14.4376i 0.174380 + 0.593885i
\(592\) 17.4465 18.1471i 0.717046 0.745840i
\(593\) −13.0217 28.5135i −0.534737 1.17091i −0.963553 0.267518i \(-0.913797\pi\)
0.428816 0.903392i \(-0.358931\pi\)
\(594\) −0.234607 + 0.546304i −0.00962605 + 0.0224151i
\(595\) 28.1806 18.1106i 1.15529 0.742461i
\(596\) 7.49966 30.6384i 0.307198 1.25500i
\(597\) 5.11498i 0.209342i
\(598\) −1.30570 0.600377i −0.0533941 0.0245512i
\(599\) 14.8085i 0.605058i −0.953140 0.302529i \(-0.902169\pi\)
0.953140 0.302529i \(-0.0978309\pi\)
\(600\) 5.57998 + 5.61457i 0.227802 + 0.229214i
\(601\) 5.40998 3.47678i 0.220678 0.141821i −0.425632 0.904897i \(-0.639948\pi\)
0.646309 + 0.763076i \(0.276312\pi\)
\(602\) 23.9908 + 10.3027i 0.977793 + 0.419908i
\(603\) 5.90725 + 12.9351i 0.240562 + 0.526757i
\(604\) −9.14514 26.6003i −0.372111 1.08235i
\(605\) 4.52418 + 15.4079i 0.183934 + 0.626421i
\(606\) 7.54758 + 15.5782i 0.306599 + 0.632819i
\(607\) 9.45975 + 4.32012i 0.383959 + 0.175348i 0.598037 0.801468i \(-0.295947\pi\)
−0.214078 + 0.976817i \(0.568675\pi\)
\(608\) 5.43108 + 47.4975i 0.220259 + 1.92628i
\(609\) −22.5094 + 19.5045i −0.912127 + 0.790363i
\(610\) 12.4307 2.07716i 0.503303 0.0841017i
\(611\) 0.336463 1.14589i 0.0136119 0.0463577i
\(612\) −0.637992 13.9998i −0.0257893 0.565907i
\(613\) −13.5362 + 21.0627i −0.546721 + 0.850715i −0.999156 0.0410825i \(-0.986919\pi\)
0.452434 + 0.891798i \(0.350556\pi\)
\(614\) 29.4832 + 7.93256i 1.18985 + 0.320132i
\(615\) 0.339923 2.36422i 0.0137070 0.0953344i
\(616\) −1.32783 3.59393i −0.0534999 0.144804i
\(617\) −37.3485 + 5.36990i −1.50359 + 0.216184i −0.844369 0.535763i \(-0.820024\pi\)
−0.659224 + 0.751947i \(0.729115\pi\)
\(618\) −1.65400 + 0.0376681i −0.0665335 + 0.00151523i
\(619\) 21.3689 24.6611i 0.858890 0.991212i −0.141109 0.989994i \(-0.545067\pi\)
0.999999 0.00121769i \(-0.000387602\pi\)
\(620\) 1.04480 + 2.03691i 0.0419600 + 0.0818044i
\(621\) 1.46737 4.56583i 0.0588834 0.183221i
\(622\) −0.605002 0.369623i −0.0242584 0.0148205i
\(623\) −15.0905 13.0760i −0.604587 0.523878i
\(624\) 0.846433 + 0.0438162i 0.0338844 + 0.00175405i
\(625\) 0.451750 + 3.14199i 0.0180700 + 0.125680i
\(626\) −2.22435 + 18.4426i −0.0889028 + 0.737113i
\(627\) 3.51679 + 0.505638i 0.140447 + 0.0201932i
\(628\) 16.4189 15.5910i 0.655186 0.622147i
\(629\) 37.0979 + 23.8414i 1.47919 + 0.950617i
\(630\) −5.60283 + 3.78370i −0.223222 + 0.150746i
\(631\) −26.8111 7.87246i −1.06733 0.313398i −0.299533 0.954086i \(-0.596831\pi\)
−0.767801 + 0.640688i \(0.778649\pi\)
\(632\) −10.8206 14.5481i −0.430419 0.578691i
\(633\) −4.55086 5.25198i −0.180881 0.208747i
\(634\) −2.62738 + 2.38351i −0.104347 + 0.0946612i
\(635\) 4.24066 9.28574i 0.168285 0.368494i
\(636\) 0.109837 1.12575i 0.00435530 0.0446389i
\(637\) 0.687558 0.201885i 0.0272420 0.00799898i
\(638\) −4.23437 3.50353i −0.167640 0.138706i
\(639\) −2.77323 + 1.26649i −0.109707 + 0.0501017i
\(640\) 8.83973 14.2700i 0.349421 0.564070i
\(641\) 10.4014 + 16.1849i 0.410830 + 0.639264i 0.983581 0.180465i \(-0.0577603\pi\)
−0.572751 + 0.819729i \(0.694124\pi\)
\(642\) −4.92092 + 1.56746i −0.194213 + 0.0618628i
\(643\) −12.2687 −0.483832 −0.241916 0.970297i \(-0.577776\pi\)
−0.241916 + 0.970297i \(0.577776\pi\)
\(644\) 13.4033 + 27.8475i 0.528163 + 1.09734i
\(645\) 8.50140 0.334742
\(646\) −79.7974 + 25.4179i −3.13959 + 1.00005i
\(647\) −10.6715 16.6052i −0.419540 0.652817i 0.565578 0.824695i \(-0.308653\pi\)
−0.985118 + 0.171878i \(0.945017\pi\)
\(648\) 0.193060 + 2.82183i 0.00758411 + 0.110852i
\(649\) −2.10188 + 0.959898i −0.0825062 + 0.0376793i
\(650\) −0.646144 0.534622i −0.0253438 0.0209696i
\(651\) 2.38504 0.700311i 0.0934771 0.0274474i
\(652\) −14.5234 1.41701i −0.568781 0.0554945i
\(653\) 1.31973 2.88980i 0.0516450 0.113087i −0.882050 0.471155i \(-0.843837\pi\)
0.933695 + 0.358068i \(0.116565\pi\)
\(654\) 12.4757 11.3178i 0.487840 0.442560i
\(655\) 13.8931 + 16.0335i 0.542848 + 0.626479i
\(656\) 6.41272 0.585691i 0.250374 0.0228674i
\(657\) −7.31484 2.14783i −0.285379 0.0837949i
\(658\) −21.2839 + 14.3734i −0.829732 + 0.560334i
\(659\) −18.1974 11.6947i −0.708868 0.455562i 0.135880 0.990725i \(-0.456614\pi\)
−0.844749 + 0.535163i \(0.820250\pi\)
\(660\) −0.859026 0.904644i −0.0334375 0.0352132i
\(661\) −7.61477 1.09484i −0.296180 0.0425843i −0.00737710 0.999973i \(-0.502348\pi\)
−0.288803 + 0.957388i \(0.593257\pi\)
\(662\) 0.500731 4.15167i 0.0194614 0.161359i
\(663\) 0.211303 + 1.46964i 0.00820632 + 0.0570762i
\(664\) 3.47893 1.88571i 0.135009 0.0731798i
\(665\) 30.5335 + 26.4574i 1.18404 + 1.02597i
\(666\) −7.59487 4.64005i −0.294295 0.179798i
\(667\) 36.6744 + 24.9052i 1.42004 + 0.964333i
\(668\) −26.8433 + 13.7688i −1.03860 + 0.532730i
\(669\) −8.57882 + 9.90048i −0.331676 + 0.382775i
\(670\) −29.8298 + 0.679342i −1.15242 + 0.0262453i
\(671\) 2.49945 0.359367i 0.0964904 0.0138732i
\(672\) −13.4237 12.3298i −0.517830 0.475632i
\(673\) 1.87074 13.0113i 0.0721117 0.501548i −0.921472 0.388446i \(-0.873012\pi\)
0.993583 0.113102i \(-0.0360787\pi\)
\(674\) 30.9097 + 8.31636i 1.19060 + 0.320334i
\(675\) 1.51306 2.35437i 0.0582379 0.0906199i
\(676\) 25.8833 1.17954i 0.995513 0.0453671i
\(677\) −6.27134 + 21.3582i −0.241027 + 0.820863i 0.746765 + 0.665088i \(0.231606\pi\)
−0.987792 + 0.155776i \(0.950212\pi\)
\(678\) −4.57395 + 0.764304i −0.175661 + 0.0293529i
\(679\) −25.3032 + 21.9254i −0.971048 + 0.841418i
\(680\) 27.5198 + 10.3613i 1.05533 + 0.397338i
\(681\) −0.561542 0.256448i −0.0215184 0.00982710i
\(682\) 0.199990 + 0.412779i 0.00765803 + 0.0158061i
\(683\) 8.23813 + 28.0565i 0.315223 + 1.07355i 0.952909 + 0.303255i \(0.0980735\pi\)
−0.637686 + 0.770296i \(0.720108\pi\)
\(684\) 15.9841 5.49530i 0.611166 0.210118i
\(685\) −10.1414 22.2065i −0.387483 0.848469i
\(686\) 15.1491 + 6.50568i 0.578394 + 0.248388i
\(687\) −15.5047 + 9.96426i −0.591541 + 0.380160i
\(688\) 5.31168 + 22.2956i 0.202506 + 0.850010i
\(689\) 0.119835i 0.00456534i
\(690\) 7.58798 + 6.60944i 0.288869 + 0.251617i
\(691\) 26.9931i 1.02687i −0.858130 0.513433i \(-0.828373\pi\)
0.858130 0.513433i \(-0.171627\pi\)
\(692\) 2.22947 + 0.545729i 0.0847517 + 0.0207455i
\(693\) −1.13956 + 0.732351i −0.0432883 + 0.0278197i
\(694\) 8.72051 20.3065i 0.331026 0.770824i
\(695\) 12.5408 + 27.4604i 0.475698 + 1.04163i
\(696\) −25.5305 5.63649i −0.967731 0.213651i
\(697\) 3.17808 + 10.8235i 0.120378 + 0.409971i
\(698\) 22.6269 10.9627i 0.856441 0.414944i
\(699\) 23.3568 + 10.6667i 0.883434 + 0.403451i
\(700\) 3.37666 + 17.7161i 0.127626 + 0.669605i
\(701\) 12.0428 10.4352i 0.454851 0.394131i −0.397080 0.917784i \(-0.629977\pi\)
0.851932 + 0.523653i \(0.175431\pi\)
\(702\) −0.0493882 0.295562i −0.00186404 0.0111553i
\(703\) −14.9842 + 51.0316i −0.565141 + 1.92469i
\(704\) 1.83578 2.81808i 0.0691884 0.106210i
\(705\) −4.52106 + 7.03491i −0.170273 + 0.264950i
\(706\) −2.99198 + 11.1204i −0.112604 + 0.418521i
\(707\) −5.61275 + 39.0375i −0.211089 + 1.46816i
\(708\) −6.81295 + 8.62674i −0.256046 + 0.324213i
\(709\) −48.6250 + 6.99121i −1.82615 + 0.262561i −0.968020 0.250874i \(-0.919282\pi\)
−0.858129 + 0.513434i \(0.828373\pi\)
\(710\) −0.145649 6.39540i −0.00546609 0.240015i
\(711\) −4.19782 + 4.84455i −0.157431 + 0.181685i
\(712\) 1.30445 17.4794i 0.0488863 0.655069i
\(713\) −1.92072 3.16220i −0.0719317 0.118425i
\(714\) 16.6464 27.2470i 0.622976 1.01969i
\(715\) 0.0998870 + 0.0865526i 0.00373556 + 0.00323688i
\(716\) 11.5328 19.8807i 0.431000 0.742975i
\(717\) 1.33079 + 9.25585i 0.0496993 + 0.345666i
\(718\) −10.6776 1.28782i −0.398486 0.0480611i
\(719\) −20.3094 2.92006i −0.757414 0.108900i −0.247220 0.968959i \(-0.579517\pi\)
−0.510194 + 0.860060i \(0.670426\pi\)
\(720\) −5.60033 1.96416i −0.208712 0.0732001i
\(721\) −3.17100 2.03788i −0.118094 0.0758946i
\(722\) −41.4906 61.4386i −1.54412 2.28651i
\(723\) 8.38361 + 2.46165i 0.311790 + 0.0915498i
\(724\) 10.2914 + 4.14466i 0.382476 + 0.154035i
\(725\) 16.9413 + 19.5513i 0.629184 + 0.726117i
\(726\) 10.2843 + 11.3366i 0.381687 + 0.420740i
\(727\) −11.8546 + 25.9579i −0.439662 + 0.962726i 0.551998 + 0.833845i \(0.313866\pi\)
−0.991660 + 0.128880i \(0.958862\pi\)
\(728\) 1.54231 + 1.16201i 0.0571618 + 0.0430670i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) 10.1975 12.3247i 0.377425 0.456156i
\(731\) −36.5219 + 16.6790i −1.35081 + 0.616895i
\(732\) 9.79970 6.94796i 0.362207 0.256804i
\(733\) 14.4363 + 22.4633i 0.533216 + 0.829700i 0.998460 0.0554829i \(-0.0176698\pi\)
−0.465244 + 0.885182i \(0.654033\pi\)
\(734\) −10.0103 31.4264i −0.369485 1.15997i
\(735\) −5.01763 −0.185078
\(736\) −12.5928 + 24.0296i −0.464175 + 0.885743i
\(737\) −5.97828 −0.220213
\(738\) −0.690983 2.16928i −0.0254354 0.0798524i
\(739\) −27.1131 42.1888i −0.997371 1.55194i −0.823614 0.567150i \(-0.808046\pi\)
−0.173756 0.984789i \(-0.555591\pi\)
\(740\) 15.2343 10.8011i 0.560024 0.397055i
\(741\) −1.62891 + 0.743896i −0.0598393 + 0.0273277i
\(742\) 1.64282 1.98552i 0.0603100 0.0728907i
\(743\) −8.12750 + 2.38645i −0.298169 + 0.0875504i −0.427396 0.904065i \(-0.640569\pi\)
0.129226 + 0.991615i \(0.458751\pi\)
\(744\) 1.74276 + 1.31304i 0.0638927 + 0.0481382i
\(745\) 9.72074 21.2854i 0.356140 0.779838i
\(746\) 25.6996 + 28.3291i 0.940930 + 1.03720i
\(747\) −0.916188 1.05734i −0.0335215 0.0386859i
\(748\) 5.46519 + 2.20101i 0.199827 + 0.0804768i
\(749\) −11.2900 3.31505i −0.412529 0.121129i
\(750\) 9.15796 + 13.5609i 0.334402 + 0.495176i
\(751\) 29.3010 + 18.8306i 1.06921 + 0.687138i 0.952040 0.305974i \(-0.0989820\pi\)
0.117168 + 0.993112i \(0.462618\pi\)
\(752\) −21.2743 7.46141i −0.775796 0.272089i
\(753\) 11.4494 + 1.64617i 0.417238 + 0.0599898i
\(754\) 2.75005 + 0.331682i 0.100151 + 0.0120792i
\(755\) −2.96969 20.6546i −0.108078 0.751699i
\(756\) −3.23358 + 5.57417i −0.117604 + 0.202731i
\(757\) 13.1116 + 11.3612i 0.476548 + 0.412931i 0.859736 0.510739i \(-0.170628\pi\)
−0.383188 + 0.923670i \(0.625174\pi\)
\(758\) −11.0501 + 18.0870i −0.401359 + 0.656948i
\(759\) 1.48979 + 1.35855i 0.0540760 + 0.0493121i
\(760\) −2.63937 + 35.3672i −0.0957400 + 1.28290i
\(761\) 21.9204 25.2975i 0.794615 0.917035i −0.203458 0.979084i \(-0.565218\pi\)
0.998073 + 0.0620489i \(0.0197635\pi\)
\(762\) −0.221538 9.72767i −0.00802546 0.352396i
\(763\) 37.9871 5.46172i 1.37523 0.197728i
\(764\) −24.1262 + 30.5493i −0.872856 + 1.10523i
\(765\) 1.47957 10.2907i 0.0534941 0.372059i
\(766\) 12.5139 46.5110i 0.452147 1.68051i
\(767\) 0.629640 0.979739i 0.0227350 0.0353763i
\(768\) 1.65208 15.9145i 0.0596142 0.574264i
\(769\) 1.61233 5.49108i 0.0581420 0.198014i −0.925300 0.379235i \(-0.876187\pi\)
0.983442 + 0.181222i \(0.0580052\pi\)
\(770\) −0.468451 2.80343i −0.0168818 0.101029i
\(771\) −17.5809 + 15.2340i −0.633162 + 0.548638i
\(772\) −6.37231 33.4331i −0.229344 1.20328i
\(773\) 8.29517 + 3.78828i 0.298356 + 0.136255i 0.558969 0.829189i \(-0.311197\pi\)
−0.260612 + 0.965444i \(0.583924\pi\)
\(774\) 7.29246 3.53318i 0.262122 0.126997i
\(775\) −0.608278 2.07161i −0.0218500 0.0744143i
\(776\) −28.6993 6.33608i −1.03024 0.227452i
\(777\) −8.42364 18.4452i −0.302197 0.661718i
\(778\) 9.18488 21.3878i 0.329294 0.766791i
\(779\) −11.4454 + 7.35548i −0.410072 + 0.263538i
\(780\) 0.610734 + 0.149495i 0.0218678 + 0.00535279i
\(781\) 1.28172i 0.0458636i
\(782\) −45.5650 13.5071i −1.62940 0.483013i
\(783\) 9.24376i 0.330345i
\(784\) −3.13502 13.1591i −0.111965 0.469968i
\(785\) 14.1304 9.08108i 0.504337 0.324118i
\(786\) 18.5809 + 7.97946i 0.662759 + 0.284618i
\(787\) 1.87752 + 4.11120i 0.0669264 + 0.146548i 0.940139 0.340791i \(-0.110695\pi\)
−0.873213 + 0.487339i \(0.837968\pi\)
\(788\) −28.4594 + 9.78428i −1.01382 + 0.348551i
\(789\) 1.63572 + 5.57075i 0.0582332 + 0.198324i
\(790\) −5.86461 12.1045i −0.208653 0.430659i
\(791\) −9.61080 4.38910i −0.341721 0.156059i
\(792\) −1.11284 0.418988i −0.0395429 0.0148881i
\(793\) −0.961849 + 0.833447i −0.0341563 + 0.0295966i
\(794\) 15.7804 2.63689i 0.560025 0.0935799i
\(795\) 0.236402 0.805111i 0.00838431 0.0285543i
\(796\) 10.2194 0.465712i 0.362215 0.0165067i
\(797\) 19.8048 30.8168i 0.701521 1.09159i −0.289408 0.957206i \(-0.593459\pi\)
0.990930 0.134383i \(-0.0429051\pi\)
\(798\) 37.1871 + 10.0053i 1.31641 + 0.354185i
\(799\) 5.62056 39.0918i 0.198841 1.38297i
\(800\) −10.7094 + 11.6596i −0.378636 + 0.412229i
\(801\) −6.13401 + 0.881938i −0.216735 + 0.0311617i
\(802\) −6.13510 + 0.139720i −0.216638 + 0.00493370i
\(803\) 2.09887 2.42222i 0.0740674 0.0854784i
\(804\) −25.3055 + 12.9800i −0.892455 + 0.457768i
\(805\) 5.89949 + 22.1549i 0.207930 + 0.780858i
\(806\) −0.197274 0.120524i −0.00694868 0.00424526i
\(807\) −14.2852 12.3782i −0.502862 0.435733i
\(808\) −30.4368 + 16.4979i −1.07076 + 0.580393i
\(809\) −7.01245 48.7726i −0.246545 1.71475i −0.617894 0.786262i \(-0.712014\pi\)
0.371349 0.928493i \(-0.378895\pi\)
\(810\) −0.251249 + 2.08316i −0.00882800 + 0.0731949i
\(811\) 35.5478 + 5.11100i 1.24825 + 0.179471i 0.734584 0.678518i \(-0.237377\pi\)
0.513667 + 0.857989i \(0.328287\pi\)
\(812\) −41.0180 43.1963i −1.43945 1.51589i
\(813\) 7.37308 + 4.73839i 0.258585 + 0.166183i
\(814\) 3.10084 2.09406i 0.108684 0.0733967i
\(815\) −10.3868 3.04984i −0.363834 0.106831i
\(816\) 27.9124 2.54932i 0.977131 0.0892441i
\(817\) −31.7111 36.5966i −1.10943 1.28035i
\(818\) −41.6876 + 37.8182i −1.45757 + 1.32228i
\(819\) 0.283617 0.621036i 0.00991040 0.0217007i
\(820\) 4.75448 + 0.463882i 0.166034 + 0.0161995i
\(821\) 2.88300 0.846525i 0.100617 0.0295439i −0.231036 0.972945i \(-0.574212\pi\)
0.331654 + 0.943401i \(0.392393\pi\)
\(822\) −17.9283 14.8339i −0.625320 0.517391i
\(823\) −34.2249 + 15.6300i −1.19300 + 0.544827i −0.910127 0.414330i \(-0.864016\pi\)
−0.282877 + 0.959156i \(0.591289\pi\)
\(824\) −0.225852 3.30114i −0.00786793 0.115001i
\(825\) 0.636108 + 0.989803i 0.0221464 + 0.0344605i
\(826\) −23.8637 + 7.60131i −0.830324 + 0.264484i
\(827\) 21.8100 0.758407 0.379203 0.925313i \(-0.376198\pi\)
0.379203 + 0.925313i \(0.376198\pi\)
\(828\) 9.25580 + 2.51598i 0.321661 + 0.0874362i
\(829\) −5.49566 −0.190872 −0.0954361 0.995436i \(-0.530425\pi\)
−0.0954361 + 0.995436i \(0.530425\pi\)
\(830\) 2.79711 0.890966i 0.0970893 0.0309259i
\(831\) 15.7881 + 24.5667i 0.547682 + 0.852210i
\(832\) −0.0104751 + 1.69510i −0.000363158 + 0.0587670i
\(833\) 21.5557 9.84414i 0.746859 0.341079i
\(834\) 22.1699 + 18.3435i 0.767682 + 0.635182i
\(835\) −21.4739 + 6.30531i −0.743136 + 0.218204i
\(836\) −0.690029 + 7.07233i −0.0238651 + 0.244602i
\(837\) 0.320479 0.701750i 0.0110774 0.0242560i
\(838\) 9.05526 8.21476i 0.312809 0.283774i
\(839\) −27.3302 31.5407i −0.943542 1.08891i −0.995917 0.0902785i \(-0.971224\pi\)
0.0523741 0.998628i \(-0.483321\pi\)
\(840\) −8.06968 10.8496i −0.278431 0.374345i
\(841\) −54.1606 15.9030i −1.86761 0.548379i
\(842\) −16.3435 + 11.0371i −0.563234 + 0.380363i
\(843\) −14.5657 9.36079i −0.501669 0.322403i
\(844\) 10.0787 9.57047i 0.346924 0.329429i
\(845\) 19.0258 + 2.73549i 0.654506 + 0.0941038i
\(846\) −0.954438 + 7.91346i −0.0328142 + 0.272070i
\(847\) 4.96301 + 34.5185i 0.170531 + 1.18607i
\(848\) 2.25917 + 0.116947i 0.0775801 + 0.00401599i
\(849\) 7.38585 + 6.39988i 0.253482 + 0.219643i
\(850\) −23.6663 14.4588i −0.811746 0.495933i
\(851\) −23.3036 + 19.1802i −0.798837 + 0.657489i
\(852\) −2.78286 5.42540i −0.0953392 0.185871i
\(853\) −11.0241 + 12.7225i −0.377458 + 0.435610i −0.912413 0.409271i \(-0.865783\pi\)
0.534955 + 0.844881i \(0.320329\pi\)
\(854\) 27.3625 0.623151i 0.936324 0.0213238i
\(855\) 12.4113 1.78448i 0.424458 0.0610279i
\(856\) −3.57972 9.68892i −0.122352 0.331160i
\(857\) 0.344656 2.39713i 0.0117732 0.0818845i −0.983088 0.183135i \(-0.941375\pi\)
0.994861 + 0.101251i \(0.0322844\pi\)
\(858\) 0.121654 + 0.0327313i 0.00415319 + 0.00111743i
\(859\) −27.6619 + 43.0427i −0.943811 + 1.46860i −0.0614036 + 0.998113i \(0.519558\pi\)
−0.882408 + 0.470486i \(0.844079\pi\)
\(860\) 0.774041 + 16.9852i 0.0263946 + 0.579190i
\(861\) 1.46137 4.97697i 0.0498034 0.169615i
\(862\) −18.5945 + 3.10713i −0.633332 + 0.105829i
\(863\) −26.7093 + 23.1438i −0.909196 + 0.787823i −0.977739 0.209825i \(-0.932711\pi\)
0.0685426 + 0.997648i \(0.478165\pi\)
\(864\) −5.62023 + 0.642643i −0.191204 + 0.0218632i
\(865\) 1.54888 + 0.707350i 0.0526635 + 0.0240506i
\(866\) 0.697556 + 1.43975i 0.0237039 + 0.0489248i
\(867\) 9.04367 + 30.7999i 0.307139 + 1.04602i
\(868\) 1.61632 + 4.70137i 0.0548616 + 0.159575i
\(869\) −1.11952 2.45140i −0.0379770 0.0831580i
\(870\) −17.8219 7.65353i −0.604220 0.259479i
\(871\) 2.53480 1.62902i 0.0858884 0.0551971i
\(872\) 23.7480 + 23.8952i 0.804207 + 0.809192i
\(873\) 10.3911i 0.351685i
\(874\) 0.148147 57.3184i 0.00501115 1.93882i
\(875\) 37.2822i 1.26037i
\(876\) 3.62520 14.8101i 0.122484 0.500386i
\(877\) 31.8487 20.4679i 1.07546 0.691153i 0.121952 0.992536i \(-0.461084\pi\)
0.953503 + 0.301383i \(0.0974481\pi\)
\(878\) −0.0185381 + 0.0431677i −0.000625632 + 0.00145684i
\(879\) −12.1418 26.5869i −0.409534 0.896755i
\(880\) 1.72920 1.79864i 0.0582913 0.0606320i
\(881\) −2.05706 7.00569i −0.0693040 0.236028i 0.917556 0.397607i \(-0.130159\pi\)
−0.986860 + 0.161580i \(0.948341\pi\)
\(882\) −4.30409 + 2.08532i −0.144926 + 0.0702165i
\(883\) −17.4756 7.98083i −0.588100 0.268576i 0.0990611 0.995081i \(-0.468416\pi\)
−0.687161 + 0.726505i \(0.741143\pi\)
\(884\) −2.91700 + 0.555976i −0.0981093 + 0.0186995i
\(885\) −6.16300 + 5.34027i −0.207167 + 0.179511i
\(886\) −2.02575 12.1230i −0.0680563 0.407280i
\(887\) 13.6881 46.6173i 0.459600 1.56525i −0.325287 0.945615i \(-0.605461\pi\)
0.784887 0.619639i \(-0.212721\pi\)
\(888\) 8.57897 15.5965i 0.287891 0.523383i
\(889\) 11.9854 18.6497i 0.401977 0.625489i
\(890\) 3.37839 12.5566i 0.113244 0.420897i
\(891\) −0.0598306 + 0.416131i −0.00200440 + 0.0139409i
\(892\) −20.5615 16.2384i −0.688451 0.543702i
\(893\) 47.1477 6.77882i 1.57774 0.226845i
\(894\) −0.507824 22.2985i −0.0169842 0.745772i
\(895\) 11.1656 12.8858i 0.373224 0.430724i
\(896\) 23.4118 27.9422i 0.782133 0.933482i
\(897\) −1.00186 0.170074i −0.0334512 0.00567859i
\(898\) 29.1372 47.6919i 0.972319 1.59150i
\(899\) 5.38944 + 4.66997i 0.179748 + 0.155752i
\(900\) 4.84163 + 2.80863i 0.161388 + 0.0936210i
\(901\) 0.563977 + 3.92254i 0.0187888 + 0.130679i
\(902\) 0.950250 + 0.114609i 0.0316399 + 0.00381607i
\(903\) 18.2743 + 2.62745i 0.608130 + 0.0874359i
\(904\) −1.94347 9.06882i −0.0646390 0.301625i
\(905\) 6.92395 + 4.44975i 0.230160 + 0.147915i
\(906\) −11.1314 16.4832i −0.369817 0.547618i
\(907\) 3.62381 + 1.06405i 0.120327 + 0.0353311i 0.341341 0.939939i \(-0.389119\pi\)
−0.221015 + 0.975270i \(0.570937\pi\)
\(908\) 0.461236 1.14527i 0.0153067 0.0380071i
\(909\) 8.01562 + 9.25052i 0.265861 + 0.306820i
\(910\) 0.962528 + 1.06101i 0.0319075 + 0.0351722i
\(911\) −3.79305 + 8.30561i −0.125669 + 0.275177i −0.962001 0.273047i \(-0.911969\pi\)
0.836332 + 0.548224i \(0.184696\pi\)
\(912\) 12.4345 + 31.4347i 0.411748 + 1.04091i
\(913\) 0.564352 0.165709i 0.0186773 0.00548416i
\(914\) −4.64217 + 5.61053i −0.153549 + 0.185580i
\(915\) 8.10636 3.70205i 0.267988 0.122386i
\(916\) −21.3195 30.0700i −0.704417 0.993540i
\(917\) 24.9087 + 38.7587i 0.822558 + 1.27993i
\(918\) −3.00762 9.44217i −0.0992662 0.311638i
\(919\) 6.31519 0.208319 0.104159 0.994561i \(-0.466785\pi\)
0.104159 + 0.994561i \(0.466785\pi\)
\(920\) −12.5143 + 15.7620i −0.412584 + 0.519658i
\(921\) 21.5892 0.711387
\(922\) 5.81238 + 18.2475i 0.191421 + 0.600949i
\(923\) 0.349255 + 0.543452i 0.0114959 + 0.0178879i
\(924\) −1.56694 2.21008i −0.0515485 0.0727062i
\(925\) −16.0212 + 7.31664i −0.526774 + 0.240569i
\(926\) −37.4961 + 45.3178i −1.23220 + 1.48923i
\(927\) −1.12247 + 0.329587i −0.0368667 + 0.0108250i
\(928\) 8.93678 51.5213i 0.293364 1.69127i
\(929\) 0.740702 1.62191i 0.0243016 0.0532132i −0.897092 0.441844i \(-0.854325\pi\)
0.921394 + 0.388631i \(0.127052\pi\)
\(930\) 1.08763 + 1.19891i 0.0356647 + 0.0393137i
\(931\) 18.7163 + 21.5997i 0.613401 + 0.707903i
\(932\) −19.1846 + 47.6363i −0.628413 + 1.56038i
\(933\) −0.481016 0.141239i −0.0157477 0.00462396i
\(934\) 16.9933 + 25.1634i 0.556038 + 0.823372i
\(935\) 3.67694 + 2.36302i 0.120249 + 0.0772791i
\(936\) 0.586014 0.125584i 0.0191545 0.00410486i
\(937\) −21.8933 3.14778i −0.715223 0.102834i −0.224910 0.974380i \(-0.572209\pi\)
−0.490314 + 0.871546i \(0.663118\pi\)
\(938\) −64.3309 7.75891i −2.10048 0.253337i
\(939\) 1.86936 + 13.0017i 0.0610042 + 0.424294i
\(940\) −14.4669 8.39224i −0.471858 0.273725i
\(941\) 29.4853 + 25.5492i 0.961194 + 0.832880i 0.985989 0.166813i \(-0.0533476\pi\)
−0.0247943 + 0.999693i \(0.507893\pi\)
\(942\) 8.34692 13.6623i 0.271957 0.445142i
\(943\) −7.71810 0.195732i −0.251336 0.00637390i
\(944\) −17.8559 12.8263i −0.581160 0.417461i
\(945\) −3.13062 + 3.61293i −0.101839 + 0.117529i
\(946\) 0.0775640 + 3.40582i 0.00252182 + 0.110733i
\(947\) 41.5222 5.96999i 1.34929 0.193999i 0.570508 0.821292i \(-0.306746\pi\)
0.778783 + 0.627293i \(0.215837\pi\)
\(948\) −10.0613 7.94585i −0.326774 0.258069i
\(949\) −0.229893 + 1.59894i −0.00746266 + 0.0519039i
\(950\) 8.69045 32.3001i 0.281956 1.04795i
\(951\) −1.35615 + 2.11021i −0.0439761 + 0.0684282i
\(952\) 55.9531 + 30.7775i 1.81345 + 0.997505i
\(953\) −7.51448 + 25.5920i −0.243418 + 0.829005i 0.743632 + 0.668589i \(0.233102\pi\)
−0.987050 + 0.160415i \(0.948717\pi\)
\(954\) −0.131819 0.788868i −0.00426781 0.0255405i
\(955\) −21.8246 + 18.9111i −0.706227 + 0.611949i
\(956\) −18.3713 + 3.50155i −0.594172 + 0.113248i
\(957\) −3.53498 1.61437i −0.114270 0.0521853i
\(958\) 23.8788 11.5692i 0.771488 0.373784i
\(959\) −14.9364 50.8686i −0.482321 1.64263i
\(960\) 3.41435 11.3679i 0.110198 0.366897i
\(961\) 12.6306 + 27.6572i 0.407440 + 0.892168i
\(962\) −0.744153 + 1.73283i −0.0239925 + 0.0558686i
\(963\) −3.07215 + 1.97435i −0.0989987 + 0.0636226i
\(964\) −4.15488 + 16.9740i −0.133820 + 0.546695i
\(965\) 25.2487i 0.812786i
\(966\) 14.2681 + 16.5525i 0.459069 + 0.532569i
\(967\) 26.1820i 0.841956i −0.907071 0.420978i \(-0.861687\pi\)
0.907071 0.420978i \(-0.138313\pi\)
\(968\) −21.7133 + 21.5795i −0.697892 + 0.693592i
\(969\) −49.8179 + 32.0160i −1.60038 + 1.02850i
\(970\) −20.0340 8.60347i −0.643251 0.276241i
\(971\) 2.00855 + 4.39811i 0.0644574 + 0.141142i 0.939119 0.343592i \(-0.111644\pi\)
−0.874662 + 0.484734i \(0.838916\pi\)
\(972\) 0.650241 + 1.89135i 0.0208565 + 0.0606649i
\(973\) 18.4702 + 62.9037i 0.592127 + 2.01660i
\(974\) 7.04379 + 14.5383i 0.225698 + 0.465838i
\(975\) −0.539421 0.246345i −0.0172753 0.00788936i
\(976\) 14.7738 + 18.9465i 0.472896 + 0.606462i
\(977\) −27.7626 + 24.0565i −0.888205 + 0.769634i −0.973969 0.226681i \(-0.927212\pi\)
0.0857636 + 0.996316i \(0.472667\pi\)
\(978\) −10.1773 + 1.70061i −0.325433 + 0.0543797i
\(979\) 0.734003 2.49978i 0.0234588 0.0798935i
\(980\) −0.456848 10.0249i −0.0145935 0.320232i
\(981\) 6.43948 10.0200i 0.205597 0.319915i
\(982\) 6.07708 + 1.63506i 0.193927 + 0.0521768i
\(983\) −2.49687 + 17.3661i −0.0796378 + 0.553893i 0.910469 + 0.413577i \(0.135721\pi\)
−0.990107 + 0.140316i \(0.955188\pi\)
\(984\) 4.27115 1.57804i 0.136159 0.0503062i
\(985\) −22.0981 + 3.17723i −0.704105 + 0.101235i
\(986\) 91.5783 2.08560i 2.91645 0.0664191i
\(987\) −11.8925 + 13.7247i −0.378543 + 0.436862i
\(988\) −1.63456 3.18670i −0.0520023 0.101382i
\(989\) −3.21993 27.2903i −0.102388 0.867780i
\(990\) −0.752761 0.459896i −0.0239243 0.0146164i
\(991\) 30.6615 + 26.5684i 0.973995 + 0.843972i 0.987768 0.155934i \(-0.0498386\pi\)
−0.0137725 + 0.999905i \(0.504384\pi\)
\(992\) −2.46467 + 3.60146i −0.0782535 + 0.114346i
\(993\) −0.420818 2.92685i −0.0133542 0.0928808i
\(994\) 1.66348 13.7923i 0.0527625 0.437466i
\(995\) 7.51182 + 1.08004i 0.238141 + 0.0342395i
\(996\) 2.02906 1.92674i 0.0642933 0.0610512i
\(997\) 37.5390 + 24.1249i 1.18887 + 0.764042i 0.976997 0.213254i \(-0.0684063\pi\)
0.211876 + 0.977297i \(0.432043\pi\)
\(998\) −25.4294 + 17.1730i −0.804955 + 0.543601i
\(999\) −6.03841 1.77304i −0.191047 0.0560964i
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 276.2.m.a.7.15 yes 240
3.2 odd 2 828.2.u.c.559.10 240
4.3 odd 2 inner 276.2.m.a.7.2 240
12.11 even 2 828.2.u.c.559.23 240
23.10 odd 22 inner 276.2.m.a.79.2 yes 240
69.56 even 22 828.2.u.c.631.23 240
92.79 even 22 inner 276.2.m.a.79.15 yes 240
276.263 odd 22 828.2.u.c.631.10 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
276.2.m.a.7.2 240 4.3 odd 2 inner
276.2.m.a.7.15 yes 240 1.1 even 1 trivial
276.2.m.a.79.2 yes 240 23.10 odd 22 inner
276.2.m.a.79.15 yes 240 92.79 even 22 inner
828.2.u.c.559.10 240 3.2 odd 2
828.2.u.c.559.23 240 12.11 even 2
828.2.u.c.631.10 240 276.263 odd 22
828.2.u.c.631.23 240 69.56 even 22