Properties

Label 570.2.bh.b.67.5
Level $570$
Weight $2$
Character 570.67
Analytic conductor $4.551$
Analytic rank $0$
Dimension $120$
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] = [570,2,Mod(13,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([0, 27, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bh (of order \(36\), degree \(12\), 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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 67.5
Character \(\chi\) \(=\) 570.67
Dual form 570.2.bh.b.553.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.819152 - 0.573576i) q^{2} +(-0.996195 - 0.0871557i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.07594 - 0.830958i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-3.91386 + 1.04872i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.984808 + 0.173648i) q^{9} +O(q^{10})\) \(q+(-0.819152 - 0.573576i) q^{2} +(-0.996195 - 0.0871557i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.07594 - 0.830958i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-3.91386 + 1.04872i) q^{7} +(0.258819 - 0.965926i) q^{8} +(0.984808 + 0.173648i) q^{9} +(-2.17712 - 0.510027i) q^{10} +(-0.130360 - 0.225790i) q^{11} +(-0.258819 - 0.965926i) q^{12} +(0.409781 + 4.68382i) q^{13} +(3.80757 + 1.38584i) q^{14} +(-2.14046 + 0.646866i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(-0.666919 + 0.952459i) q^{17} +(-0.707107 - 0.707107i) q^{18} +(-2.08595 - 3.82738i) q^{19} +(1.49086 + 1.66654i) q^{20} +(3.99037 - 0.703610i) q^{21} +(-0.0227232 + 0.259728i) q^{22} +(-3.25951 + 6.99004i) q^{23} +(-0.342020 + 0.939693i) q^{24} +(3.61902 - 3.45003i) q^{25} +(2.35086 - 4.07180i) q^{26} +(-0.965926 - 0.258819i) q^{27} +(-2.32409 - 3.31915i) q^{28} +(-0.753894 + 4.27555i) q^{29} +(2.12439 + 0.697835i) q^{30} +(-0.654008 - 0.377592i) q^{31} +(0.996195 - 0.0871557i) q^{32} +(0.110185 + 0.236293i) q^{33} +(1.09262 - 0.397680i) q^{34} +(-7.25349 + 5.42932i) q^{35} +(0.173648 + 0.984808i) q^{36} +(-7.49476 + 7.49476i) q^{37} +(-0.486583 + 4.33166i) q^{38} -4.70171i q^{39} +(-0.265352 - 2.22027i) q^{40} +(5.14517 + 6.13177i) q^{41} +(-3.67230 - 1.71242i) q^{42} +(6.44828 - 3.00688i) q^{43} +(0.167588 - 0.199723i) q^{44} +(2.18869 - 0.457851i) q^{45} +(6.67936 - 3.85633i) q^{46} +(-4.45881 + 3.12209i) q^{47} +(0.819152 - 0.573576i) q^{48} +(8.15635 - 4.70907i) q^{49} +(-4.94338 + 0.750315i) q^{50} +(0.747393 - 0.890709i) q^{51} +(-4.26120 + 1.98703i) q^{52} +(7.62648 + 3.55628i) q^{53} +(0.642788 + 0.766044i) q^{54} +(-0.458241 - 0.360402i) q^{55} +4.05193i q^{56} +(1.74443 + 3.99461i) q^{57} +(3.06991 - 3.06991i) q^{58} +(2.65827 + 15.0758i) q^{59} +(-1.33994 - 1.79013i) q^{60} +(-11.9223 + 4.33935i) q^{61} +(0.319154 + 0.684428i) q^{62} +(-4.03651 + 0.353149i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(4.74274 + 9.38280i) q^{65} +(0.0452735 - 0.256759i) q^{66} +(3.86106 + 5.51416i) q^{67} +(-1.12312 - 0.300939i) q^{68} +(3.85633 - 6.67936i) q^{69} +(9.05585 - 0.287011i) q^{70} +(3.17911 - 8.73452i) q^{71} +(0.422618 - 0.906308i) q^{72} +(0.439979 - 5.02899i) q^{73} +(10.4382 - 1.84053i) q^{74} +(-3.90594 + 3.12148i) q^{75} +(2.88312 - 3.26919i) q^{76} +(0.747001 + 0.747001i) q^{77} +(-2.69679 + 3.85142i) q^{78} +(-8.75501 + 7.34632i) q^{79} +(-1.05613 + 1.97094i) q^{80} +(0.939693 + 0.342020i) q^{81} +(-0.697635 - 7.97400i) q^{82} +(-1.89698 - 7.07963i) q^{83} +(2.02597 + 3.50907i) q^{84} +(-0.593028 + 2.53143i) q^{85} +(-7.00680 - 1.23549i) q^{86} +(1.12366 - 4.19357i) q^{87} +(-0.251836 + 0.0674793i) q^{88} +(2.37999 + 1.99705i) q^{89} +(-2.05548 - 0.880332i) q^{90} +(-6.51583 - 17.9021i) q^{91} +(-7.68331 - 0.672203i) q^{92} +(0.618610 + 0.433155i) q^{93} +5.44320 q^{94} +(-7.51069 - 6.21205i) q^{95} -1.00000 q^{96} +(-4.89937 - 3.43058i) q^{97} +(-9.38230 - 0.820845i) q^{98} +(-0.0891715 - 0.244997i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{5} + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{5} + 12 q^{7} + 12 q^{10} - 48 q^{13} - 12 q^{17} + 60 q^{21} + 12 q^{22} + 48 q^{23} + 12 q^{25} + 12 q^{26} - 12 q^{30} + 24 q^{33} - 24 q^{38} - 36 q^{41} + 24 q^{43} + 96 q^{47} + 24 q^{52} - 36 q^{55} + 12 q^{57} - 24 q^{58} - 12 q^{60} - 24 q^{61} + 24 q^{62} - 24 q^{66} + 72 q^{67} + 12 q^{68} + 96 q^{70} + 36 q^{73} - 12 q^{76} - 24 q^{78} - 12 q^{80} - 24 q^{82} - 60 q^{83} - 36 q^{85} - 72 q^{86} + 12 q^{87} - 144 q^{91} - 12 q^{92} + 48 q^{93} + 156 q^{95} - 120 q^{96} - 216 q^{97} - 96 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.819152 0.573576i −0.579228 0.405580i
\(3\) −0.996195 0.0871557i −0.575153 0.0503194i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 2.07594 0.830958i 0.928387 0.371616i
\(6\) 0.766044 + 0.642788i 0.312736 + 0.262417i
\(7\) −3.91386 + 1.04872i −1.47930 + 0.396378i −0.906109 0.423043i \(-0.860962\pi\)
−0.573192 + 0.819421i \(0.694295\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) 0.984808 + 0.173648i 0.328269 + 0.0578827i
\(10\) −2.17712 0.510027i −0.688467 0.161285i
\(11\) −0.130360 0.225790i −0.0393050 0.0680783i 0.845704 0.533653i \(-0.179181\pi\)
−0.885009 + 0.465574i \(0.845848\pi\)
\(12\) −0.258819 0.965926i −0.0747146 0.278839i
\(13\) 0.409781 + 4.68382i 0.113653 + 1.29906i 0.812151 + 0.583447i \(0.198296\pi\)
−0.698498 + 0.715612i \(0.746148\pi\)
\(14\) 3.80757 + 1.38584i 1.01762 + 0.370382i
\(15\) −2.14046 + 0.646866i −0.552664 + 0.167020i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) −0.666919 + 0.952459i −0.161752 + 0.231005i −0.891844 0.452343i \(-0.850588\pi\)
0.730092 + 0.683349i \(0.239477\pi\)
\(18\) −0.707107 0.707107i −0.166667 0.166667i
\(19\) −2.08595 3.82738i −0.478550 0.878060i
\(20\) 1.49086 + 1.66654i 0.333366 + 0.372649i
\(21\) 3.99037 0.703610i 0.870771 0.153540i
\(22\) −0.0227232 + 0.259728i −0.00484461 + 0.0553742i
\(23\) −3.25951 + 6.99004i −0.679655 + 1.45752i 0.198967 + 0.980006i \(0.436241\pi\)
−0.878622 + 0.477519i \(0.841536\pi\)
\(24\) −0.342020 + 0.939693i −0.0698146 + 0.191814i
\(25\) 3.61902 3.45003i 0.723804 0.690006i
\(26\) 2.35086 4.07180i 0.461041 0.798546i
\(27\) −0.965926 0.258819i −0.185893 0.0498097i
\(28\) −2.32409 3.31915i −0.439212 0.627260i
\(29\) −0.753894 + 4.27555i −0.139995 + 0.793949i 0.831256 + 0.555890i \(0.187622\pi\)
−0.971251 + 0.238059i \(0.923489\pi\)
\(30\) 2.12439 + 0.697835i 0.387858 + 0.127407i
\(31\) −0.654008 0.377592i −0.117463 0.0678175i 0.440117 0.897940i \(-0.354937\pi\)
−0.557581 + 0.830123i \(0.688270\pi\)
\(32\) 0.996195 0.0871557i 0.176104 0.0154071i
\(33\) 0.110185 + 0.236293i 0.0191808 + 0.0411333i
\(34\) 1.09262 0.397680i 0.187382 0.0682015i
\(35\) −7.25349 + 5.42932i −1.22606 + 0.917723i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) −7.49476 + 7.49476i −1.23213 + 1.23213i −0.268987 + 0.963144i \(0.586689\pi\)
−0.963144 + 0.268987i \(0.913311\pi\)
\(38\) −0.486583 + 4.33166i −0.0789341 + 0.702687i
\(39\) 4.70171i 0.752877i
\(40\) −0.265352 2.22027i −0.0419558 0.351055i
\(41\) 5.14517 + 6.13177i 0.803540 + 0.957622i 0.999737 0.0229426i \(-0.00730350\pi\)
−0.196197 + 0.980565i \(0.562859\pi\)
\(42\) −3.67230 1.71242i −0.566648 0.264232i
\(43\) 6.44828 3.00688i 0.983354 0.458545i 0.136655 0.990619i \(-0.456365\pi\)
0.846698 + 0.532073i \(0.178587\pi\)
\(44\) 0.167588 0.199723i 0.0252648 0.0301094i
\(45\) 2.18869 0.457851i 0.326271 0.0682524i
\(46\) 6.67936 3.85633i 0.984818 0.568585i
\(47\) −4.45881 + 3.12209i −0.650384 + 0.455404i −0.851634 0.524136i \(-0.824388\pi\)
0.201251 + 0.979540i \(0.435499\pi\)
\(48\) 0.819152 0.573576i 0.118234 0.0827886i
\(49\) 8.15635 4.70907i 1.16519 0.672724i
\(50\) −4.94338 + 0.750315i −0.699100 + 0.106111i
\(51\) 0.747393 0.890709i 0.104656 0.124724i
\(52\) −4.26120 + 1.98703i −0.590922 + 0.275551i
\(53\) 7.62648 + 3.55628i 1.04758 + 0.488493i 0.868680 0.495374i \(-0.164969\pi\)
0.178898 + 0.983868i \(0.442747\pi\)
\(54\) 0.642788 + 0.766044i 0.0874723 + 0.104245i
\(55\) −0.458241 0.360402i −0.0617892 0.0485966i
\(56\) 4.05193i 0.541462i
\(57\) 1.74443 + 3.99461i 0.231056 + 0.529100i
\(58\) 3.06991 3.06991i 0.403099 0.403099i
\(59\) 2.65827 + 15.0758i 0.346077 + 1.96270i 0.255478 + 0.966815i \(0.417767\pi\)
0.0905997 + 0.995887i \(0.471122\pi\)
\(60\) −1.33994 1.79013i −0.172985 0.231105i
\(61\) −11.9223 + 4.33935i −1.52649 + 0.555597i −0.962759 0.270361i \(-0.912857\pi\)
−0.563732 + 0.825958i \(0.690635\pi\)
\(62\) 0.319154 + 0.684428i 0.0405326 + 0.0869225i
\(63\) −4.03651 + 0.353149i −0.508553 + 0.0444926i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 4.74274 + 9.38280i 0.588264 + 1.16379i
\(66\) 0.0452735 0.256759i 0.00557279 0.0316049i
\(67\) 3.86106 + 5.51416i 0.471703 + 0.673662i 0.982548 0.186011i \(-0.0595561\pi\)
−0.510845 + 0.859673i \(0.670667\pi\)
\(68\) −1.12312 0.300939i −0.136198 0.0364942i
\(69\) 3.85633 6.67936i 0.464248 0.804100i
\(70\) 9.05585 0.287011i 1.08238 0.0343043i
\(71\) 3.17911 8.73452i 0.377290 1.03660i −0.595184 0.803589i \(-0.702921\pi\)
0.972475 0.233008i \(-0.0748568\pi\)
\(72\) 0.422618 0.906308i 0.0498060 0.106809i
\(73\) 0.439979 5.02899i 0.0514957 0.588598i −0.925983 0.377565i \(-0.876762\pi\)
0.977479 0.211033i \(-0.0676829\pi\)
\(74\) 10.4382 1.84053i 1.21341 0.213957i
\(75\) −3.90594 + 3.12148i −0.451019 + 0.360438i
\(76\) 2.88312 3.26919i 0.330717 0.375002i
\(77\) 0.747001 + 0.747001i 0.0851287 + 0.0851287i
\(78\) −2.69679 + 3.85142i −0.305352 + 0.436087i
\(79\) −8.75501 + 7.34632i −0.985015 + 0.826526i −0.984838 0.173474i \(-0.944501\pi\)
−0.000176847 1.00000i \(0.500056\pi\)
\(80\) −1.05613 + 1.97094i −0.118079 + 0.220357i
\(81\) 0.939693 + 0.342020i 0.104410 + 0.0380022i
\(82\) −0.697635 7.97400i −0.0770409 0.880581i
\(83\) −1.89698 7.07963i −0.208221 0.777090i −0.988444 0.151588i \(-0.951561\pi\)
0.780223 0.625501i \(-0.215106\pi\)
\(84\) 2.02597 + 3.50907i 0.221051 + 0.382871i
\(85\) −0.593028 + 2.53143i −0.0643229 + 0.274572i
\(86\) −7.00680 1.23549i −0.755563 0.133226i
\(87\) 1.12366 4.19357i 0.120469 0.449598i
\(88\) −0.251836 + 0.0674793i −0.0268458 + 0.00719332i
\(89\) 2.37999 + 1.99705i 0.252279 + 0.211687i 0.760153 0.649744i \(-0.225124\pi\)
−0.507874 + 0.861431i \(0.669568\pi\)
\(90\) −2.05548 0.880332i −0.216667 0.0927952i
\(91\) −6.51583 17.9021i −0.683045 1.87665i
\(92\) −7.68331 0.672203i −0.801041 0.0700820i
\(93\) 0.618610 + 0.433155i 0.0641469 + 0.0449161i
\(94\) 5.44320 0.561423
\(95\) −7.51069 6.21205i −0.770580 0.637343i
\(96\) −1.00000 −0.102062
\(97\) −4.89937 3.43058i −0.497456 0.348322i 0.297768 0.954638i \(-0.403758\pi\)
−0.795224 + 0.606316i \(0.792647\pi\)
\(98\) −9.38230 0.820845i −0.947756 0.0829179i
\(99\) −0.0891715 0.244997i −0.00896207 0.0246231i
\(100\) 4.47974 + 2.22079i 0.447974 + 0.222079i
\(101\) 3.17402 + 2.66332i 0.315827 + 0.265010i 0.786895 0.617086i \(-0.211687\pi\)
−0.471069 + 0.882097i \(0.656132\pi\)
\(102\) −1.12312 + 0.300939i −0.111205 + 0.0297974i
\(103\) 2.64221 9.86085i 0.260344 0.971618i −0.704694 0.709511i \(-0.748916\pi\)
0.965039 0.262107i \(-0.0844175\pi\)
\(104\) 4.63028 + 0.816444i 0.454037 + 0.0800589i
\(105\) 7.69909 4.77648i 0.751354 0.466137i
\(106\) −4.20744 7.28750i −0.408663 0.707825i
\(107\) −2.28659 8.53368i −0.221053 0.824982i −0.983947 0.178459i \(-0.942889\pi\)
0.762894 0.646523i \(-0.223778\pi\)
\(108\) −0.0871557 0.996195i −0.00838657 0.0958589i
\(109\) −9.06738 3.30026i −0.868498 0.316107i −0.130939 0.991390i \(-0.541799\pi\)
−0.737559 + 0.675283i \(0.764021\pi\)
\(110\) 0.168651 + 0.558060i 0.0160802 + 0.0532090i
\(111\) 8.11945 6.81303i 0.770664 0.646664i
\(112\) 2.32409 3.31915i 0.219606 0.313630i
\(113\) −9.90969 9.90969i −0.932225 0.932225i 0.0656193 0.997845i \(-0.479098\pi\)
−0.997845 + 0.0656193i \(0.979098\pi\)
\(114\) 0.862260 4.27276i 0.0807580 0.400181i
\(115\) −0.958104 + 17.2194i −0.0893436 + 1.60572i
\(116\) −4.27555 + 0.753894i −0.396975 + 0.0699973i
\(117\) −0.409781 + 4.68382i −0.0378843 + 0.433019i
\(118\) 6.46960 13.8741i 0.595575 1.27721i
\(119\) 1.61137 4.42720i 0.147714 0.405841i
\(120\) 0.0708331 + 2.23495i 0.00646614 + 0.204022i
\(121\) 5.46601 9.46741i 0.496910 0.860674i
\(122\) 12.2551 + 3.28375i 1.10953 + 0.297296i
\(123\) −4.59117 6.55687i −0.413972 0.591213i
\(124\) 0.131136 0.743710i 0.0117764 0.0667872i
\(125\) 4.64602 10.1693i 0.415553 0.909569i
\(126\) 3.50907 + 2.02597i 0.312613 + 0.180487i
\(127\) 5.66141 0.495309i 0.502369 0.0439516i 0.166845 0.985983i \(-0.446642\pi\)
0.335524 + 0.942032i \(0.391087\pi\)
\(128\) 0.422618 + 0.906308i 0.0373545 + 0.0801070i
\(129\) −6.68581 + 2.43344i −0.588653 + 0.214252i
\(130\) 1.49673 10.4063i 0.131272 0.912690i
\(131\) −0.843996 4.78654i −0.0737403 0.418202i −0.999223 0.0394122i \(-0.987451\pi\)
0.925483 0.378790i \(-0.123660\pi\)
\(132\) −0.184357 + 0.184357i −0.0160462 + 0.0160462i
\(133\) 12.1780 + 12.7923i 1.05596 + 1.10923i
\(134\) 6.73154i 0.581517i
\(135\) −2.22027 + 0.265352i −0.191090 + 0.0228379i
\(136\) 0.747393 + 0.890709i 0.0640885 + 0.0763777i
\(137\) −3.99457 1.86270i −0.341279 0.159141i 0.244420 0.969669i \(-0.421402\pi\)
−0.585699 + 0.810528i \(0.699180\pi\)
\(138\) −6.99004 + 3.25951i −0.595032 + 0.277468i
\(139\) −5.41101 + 6.44859i −0.458956 + 0.546963i −0.945042 0.326948i \(-0.893980\pi\)
0.486086 + 0.873911i \(0.338424\pi\)
\(140\) −7.58274 4.95911i −0.640858 0.419122i
\(141\) 4.71395 2.72160i 0.396986 0.229200i
\(142\) −7.61409 + 5.33144i −0.638960 + 0.447405i
\(143\) 1.00414 0.703107i 0.0839705 0.0587968i
\(144\) −0.866025 + 0.500000i −0.0721688 + 0.0416667i
\(145\) 1.98776 + 9.50222i 0.165075 + 0.789116i
\(146\) −3.24492 + 3.86714i −0.268551 + 0.320047i
\(147\) −8.53574 + 3.98028i −0.704016 + 0.328288i
\(148\) −9.60613 4.47941i −0.789619 0.368205i
\(149\) −6.83450 8.14504i −0.559904 0.667268i 0.409622 0.912255i \(-0.365661\pi\)
−0.969526 + 0.244988i \(0.921216\pi\)
\(150\) 4.98997 0.316616i 0.407429 0.0258516i
\(151\) 13.4443i 1.09408i 0.837106 + 0.547040i \(0.184246\pi\)
−0.837106 + 0.547040i \(0.815754\pi\)
\(152\) −4.23685 + 1.02428i −0.343654 + 0.0830797i
\(153\) −0.822180 + 0.822180i −0.0664693 + 0.0664693i
\(154\) −0.183445 1.04037i −0.0147824 0.0838354i
\(155\) −1.67144 0.240403i −0.134253 0.0193096i
\(156\) 4.41817 1.60808i 0.353736 0.128749i
\(157\) −7.19313 15.4257i −0.574074 1.23111i −0.952235 0.305366i \(-0.901221\pi\)
0.378161 0.925740i \(-0.376557\pi\)
\(158\) 11.3854 0.996090i 0.905771 0.0792447i
\(159\) −7.28750 4.20744i −0.577937 0.333672i
\(160\) 1.99561 1.00873i 0.157767 0.0797468i
\(161\) 5.42671 30.7764i 0.427684 2.42552i
\(162\) −0.573576 0.819152i −0.0450644 0.0643587i
\(163\) −5.06825 1.35803i −0.396976 0.106369i 0.0548076 0.998497i \(-0.482545\pi\)
−0.451784 + 0.892128i \(0.649212\pi\)
\(164\) −4.00223 + 6.93207i −0.312522 + 0.541303i
\(165\) 0.425086 + 0.398969i 0.0330929 + 0.0310597i
\(166\) −2.50679 + 6.88735i −0.194565 + 0.534562i
\(167\) −4.99091 + 10.7031i −0.386209 + 0.828227i 0.613062 + 0.790035i \(0.289938\pi\)
−0.999270 + 0.0381920i \(0.987840\pi\)
\(168\) 0.353149 4.03651i 0.0272460 0.311424i
\(169\) −8.96776 + 1.58126i −0.689828 + 0.121635i
\(170\) 1.93775 1.73348i 0.148618 0.132952i
\(171\) −1.38964 4.13145i −0.106269 0.315940i
\(172\) 5.03099 + 5.03099i 0.383609 + 0.383609i
\(173\) −0.502287 + 0.717340i −0.0381882 + 0.0545384i −0.837792 0.545989i \(-0.816154\pi\)
0.799604 + 0.600528i \(0.205043\pi\)
\(174\) −3.32579 + 2.79067i −0.252127 + 0.211560i
\(175\) −10.5462 + 17.2983i −0.797221 + 1.30763i
\(176\) 0.244997 + 0.0891715i 0.0184673 + 0.00672155i
\(177\) −1.33421 15.2501i −0.100286 1.14627i
\(178\) −0.804115 3.00100i −0.0602709 0.224934i
\(179\) 11.4017 + 19.7484i 0.852205 + 1.47606i 0.879214 + 0.476427i \(0.158069\pi\)
−0.0270087 + 0.999635i \(0.508598\pi\)
\(180\) 1.17882 + 1.90010i 0.0878638 + 0.141625i
\(181\) 3.95939 + 0.698146i 0.294299 + 0.0518928i 0.318848 0.947806i \(-0.396704\pi\)
−0.0245494 + 0.999699i \(0.507815\pi\)
\(182\) −4.93077 + 18.4019i −0.365493 + 1.36404i
\(183\) 12.2551 3.28375i 0.905924 0.242741i
\(184\) 5.90824 + 4.95760i 0.435561 + 0.365479i
\(185\) −9.33081 + 21.7865i −0.686015 + 1.60177i
\(186\) −0.258288 0.709640i −0.0189386 0.0520333i
\(187\) 0.301995 + 0.0264212i 0.0220841 + 0.00193211i
\(188\) −4.45881 3.12209i −0.325192 0.227702i
\(189\) 4.05193 0.294735
\(190\) 2.58931 + 9.39657i 0.187848 + 0.681699i
\(191\) 22.8632 1.65433 0.827163 0.561962i \(-0.189953\pi\)
0.827163 + 0.561962i \(0.189953\pi\)
\(192\) 0.819152 + 0.573576i 0.0591172 + 0.0413943i
\(193\) −16.0021 1.40000i −1.15186 0.100774i −0.504814 0.863228i \(-0.668439\pi\)
−0.647043 + 0.762453i \(0.723995\pi\)
\(194\) 2.04563 + 5.62033i 0.146868 + 0.403516i
\(195\) −3.90693 9.76045i −0.279781 0.698961i
\(196\) 7.21472 + 6.05387i 0.515337 + 0.432419i
\(197\) 10.4251 2.79339i 0.742757 0.199021i 0.132454 0.991189i \(-0.457714\pi\)
0.610303 + 0.792168i \(0.291048\pi\)
\(198\) −0.0674793 + 0.251836i −0.00479554 + 0.0178972i
\(199\) 20.1814 + 3.55852i 1.43062 + 0.252257i 0.834663 0.550761i \(-0.185662\pi\)
0.595955 + 0.803018i \(0.296774\pi\)
\(200\) −2.39580 4.38864i −0.169409 0.310323i
\(201\) −3.36577 5.82969i −0.237403 0.411195i
\(202\) −1.07239 4.00221i −0.0754530 0.281594i
\(203\) −1.53320 17.5245i −0.107609 1.22998i
\(204\) 1.09262 + 0.397680i 0.0764984 + 0.0278432i
\(205\) 15.7763 + 8.45375i 1.10186 + 0.590435i
\(206\) −7.82032 + 6.56203i −0.544868 + 0.457198i
\(207\) −4.42380 + 6.31784i −0.307475 + 0.439120i
\(208\) −3.32461 3.32461i −0.230520 0.230520i
\(209\) −0.592259 + 0.969924i −0.0409674 + 0.0670910i
\(210\) −9.04640 0.503350i −0.624261 0.0347345i
\(211\) 0.197974 0.0349081i 0.0136291 0.00240317i −0.166829 0.985986i \(-0.553353\pi\)
0.180459 + 0.983583i \(0.442242\pi\)
\(212\) −0.733406 + 8.38286i −0.0503705 + 0.575738i
\(213\) −3.92827 + 8.42421i −0.269161 + 0.577217i
\(214\) −3.02165 + 8.30192i −0.206556 + 0.567507i
\(215\) 10.8876 11.6003i 0.742530 0.791137i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) 2.95568 + 0.791973i 0.200645 + 0.0537627i
\(218\) 5.53462 + 7.90425i 0.374851 + 0.535343i
\(219\) −0.876610 + 4.97150i −0.0592358 + 0.335943i
\(220\) 0.181940 0.553870i 0.0122664 0.0373419i
\(221\) −4.73444 2.73343i −0.318473 0.183870i
\(222\) −10.5589 + 0.923781i −0.708664 + 0.0620001i
\(223\) 1.27820 + 2.74111i 0.0855947 + 0.183559i 0.944446 0.328666i \(-0.106599\pi\)
−0.858851 + 0.512225i \(0.828821\pi\)
\(224\) −3.80757 + 1.38584i −0.254404 + 0.0925955i
\(225\) 4.16313 2.76918i 0.277542 0.184612i
\(226\) 2.43358 + 13.8015i 0.161879 + 0.918063i
\(227\) 8.18449 8.18449i 0.543223 0.543223i −0.381249 0.924472i \(-0.624506\pi\)
0.924472 + 0.381249i \(0.124506\pi\)
\(228\) −3.15708 + 3.00547i −0.209083 + 0.199042i
\(229\) 19.6924i 1.30131i −0.759373 0.650656i \(-0.774494\pi\)
0.759373 0.650656i \(-0.225506\pi\)
\(230\) 10.6615 13.5558i 0.702997 0.893840i
\(231\) −0.679053 0.809264i −0.0446784 0.0532457i
\(232\) 3.93474 + 1.83480i 0.258328 + 0.120460i
\(233\) 10.0807 4.70069i 0.660406 0.307952i −0.0633673 0.997990i \(-0.520184\pi\)
0.723773 + 0.690038i \(0.242406\pi\)
\(234\) 3.02220 3.60172i 0.197568 0.235452i
\(235\) −6.66187 + 10.1863i −0.434572 + 0.664483i
\(236\) −13.2574 + 7.65419i −0.862986 + 0.498245i
\(237\) 9.36197 6.55532i 0.608125 0.425814i
\(238\) −3.85930 + 2.70231i −0.250161 + 0.175165i
\(239\) −22.6137 + 13.0560i −1.46276 + 0.844524i −0.999138 0.0415094i \(-0.986783\pi\)
−0.463621 + 0.886034i \(0.653450\pi\)
\(240\) 1.22389 1.87139i 0.0790017 0.120798i
\(241\) 2.33252 2.77978i 0.150251 0.179062i −0.685669 0.727913i \(-0.740490\pi\)
0.835920 + 0.548852i \(0.184935\pi\)
\(242\) −9.90778 + 4.62007i −0.636896 + 0.296990i
\(243\) −0.906308 0.422618i −0.0581397 0.0271110i
\(244\) −8.15532 9.71913i −0.522091 0.622203i
\(245\) 13.0190 16.5533i 0.831755 1.05755i
\(246\) 8.00446i 0.510346i
\(247\) 17.0720 11.3386i 1.08626 0.721458i
\(248\) −0.533995 + 0.533995i −0.0339087 + 0.0339087i
\(249\) 1.27273 + 7.21802i 0.0806561 + 0.457423i
\(250\) −9.63866 + 5.66535i −0.609603 + 0.358308i
\(251\) 10.5955 3.85646i 0.668784 0.243417i 0.0147596 0.999891i \(-0.495302\pi\)
0.654024 + 0.756474i \(0.273079\pi\)
\(252\) −1.71242 3.67230i −0.107872 0.231333i
\(253\) 2.00319 0.175257i 0.125940 0.0110183i
\(254\) −4.92166 2.84152i −0.308812 0.178293i
\(255\) 0.811399 2.47011i 0.0508118 0.154684i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 7.93882 + 11.3378i 0.495210 + 0.707234i 0.986500 0.163763i \(-0.0523632\pi\)
−0.491289 + 0.870996i \(0.663474\pi\)
\(258\) 6.87246 + 1.84147i 0.427861 + 0.114645i
\(259\) 21.4736 37.1934i 1.33430 2.31108i
\(260\) −7.19484 + 7.66582i −0.446205 + 0.475414i
\(261\) −1.48488 + 4.07968i −0.0919119 + 0.252526i
\(262\) −2.05409 + 4.40500i −0.126902 + 0.272142i
\(263\) −0.535093 + 6.11614i −0.0329952 + 0.377137i 0.961687 + 0.274149i \(0.0883960\pi\)
−0.994683 + 0.102988i \(0.967160\pi\)
\(264\) 0.256759 0.0452735i 0.0158024 0.00278639i
\(265\) 18.7872 + 1.04534i 1.15409 + 0.0642146i
\(266\) −2.63826 17.4638i −0.161762 1.07077i
\(267\) −2.19688 2.19688i −0.134447 0.134447i
\(268\) −3.86106 + 5.51416i −0.235851 + 0.336831i
\(269\) 4.25580 3.57104i 0.259481 0.217730i −0.503761 0.863843i \(-0.668051\pi\)
0.763242 + 0.646113i \(0.223606\pi\)
\(270\) 1.97094 + 1.05613i 0.119947 + 0.0642740i
\(271\) −25.6761 9.34534i −1.55971 0.567689i −0.589042 0.808102i \(-0.700495\pi\)
−0.970671 + 0.240413i \(0.922717\pi\)
\(272\) −0.101339 1.15831i −0.00614460 0.0702331i
\(273\) 4.93077 + 18.4019i 0.298424 + 1.11373i
\(274\) 2.20376 + 3.81702i 0.133134 + 0.230595i
\(275\) −1.25076 0.367393i −0.0754235 0.0221546i
\(276\) 7.59549 + 1.33929i 0.457195 + 0.0806157i
\(277\) 2.05302 7.66196i 0.123354 0.460363i −0.876422 0.481544i \(-0.840076\pi\)
0.999776 + 0.0211815i \(0.00674278\pi\)
\(278\) 8.13120 2.17875i 0.487677 0.130673i
\(279\) −0.578504 0.485422i −0.0346341 0.0290615i
\(280\) 3.36698 + 8.41155i 0.201216 + 0.502686i
\(281\) 8.90308 + 24.4610i 0.531113 + 1.45922i 0.857748 + 0.514071i \(0.171863\pi\)
−0.326634 + 0.945151i \(0.605915\pi\)
\(282\) −5.42248 0.474406i −0.322904 0.0282505i
\(283\) −2.17666 1.52412i −0.129389 0.0905993i 0.507090 0.861893i \(-0.330721\pi\)
−0.636479 + 0.771294i \(0.719610\pi\)
\(284\) 9.29508 0.551562
\(285\) 6.94069 + 6.84301i 0.411131 + 0.405345i
\(286\) −1.22583 −0.0724849
\(287\) −26.5680 18.6031i −1.56826 1.09811i
\(288\) 0.996195 + 0.0871557i 0.0587013 + 0.00513570i
\(289\) 5.35195 + 14.7043i 0.314820 + 0.864962i
\(290\) 3.82197 8.92389i 0.224434 0.524029i
\(291\) 4.58173 + 3.84453i 0.268586 + 0.225370i
\(292\) 4.87618 1.30657i 0.285357 0.0764612i
\(293\) −1.68559 + 6.29069i −0.0984730 + 0.367506i −0.997523 0.0703395i \(-0.977592\pi\)
0.899050 + 0.437846i \(0.144258\pi\)
\(294\) 9.27506 + 1.63544i 0.540932 + 0.0953810i
\(295\) 18.0458 + 29.0875i 1.05066 + 1.69354i
\(296\) 5.29960 + 9.17917i 0.308033 + 0.533528i
\(297\) 0.0674793 + 0.251836i 0.00391555 + 0.0146130i
\(298\) 0.926691 + 10.5921i 0.0536818 + 0.613586i
\(299\) −34.0758 12.4026i −1.97065 0.717260i
\(300\) −4.26914 2.60277i −0.246479 0.150271i
\(301\) −22.0843 + 18.5310i −1.27292 + 1.06811i
\(302\) 7.71133 11.0129i 0.443737 0.633722i
\(303\) −2.92982 2.92982i −0.168314 0.168314i
\(304\) 4.05812 + 1.59112i 0.232749 + 0.0912569i
\(305\) −21.1441 + 18.9151i −1.21071 + 1.08308i
\(306\) 1.14507 0.201907i 0.0654595 0.0115423i
\(307\) −1.76893 + 20.2190i −0.100958 + 1.15396i 0.761616 + 0.648029i \(0.224406\pi\)
−0.862574 + 0.505931i \(0.831149\pi\)
\(308\) −0.446462 + 0.957441i −0.0254395 + 0.0545553i
\(309\) −3.49158 + 9.59304i −0.198629 + 0.545729i
\(310\) 1.23127 + 1.15563i 0.0699317 + 0.0656351i
\(311\) −1.98826 + 3.44376i −0.112744 + 0.195278i −0.916876 0.399173i \(-0.869297\pi\)
0.804132 + 0.594451i \(0.202631\pi\)
\(312\) −4.54151 1.21689i −0.257112 0.0688930i
\(313\) −1.31639 1.88000i −0.0744068 0.106264i 0.780224 0.625501i \(-0.215105\pi\)
−0.854631 + 0.519237i \(0.826216\pi\)
\(314\) −2.95556 + 16.7618i −0.166792 + 0.945924i
\(315\) −8.08609 + 4.08729i −0.455599 + 0.230292i
\(316\) −9.89767 5.71443i −0.556788 0.321462i
\(317\) 1.32498 0.115920i 0.0744181 0.00651074i −0.0498859 0.998755i \(-0.515886\pi\)
0.124304 + 0.992244i \(0.460330\pi\)
\(318\) 3.55628 + 7.62648i 0.199427 + 0.427672i
\(319\) 1.06365 0.387138i 0.0595532 0.0216756i
\(320\) −2.21329 0.318337i −0.123727 0.0177956i
\(321\) 1.53413 + 8.70050i 0.0856269 + 0.485614i
\(322\) −22.0979 + 22.0979i −1.23147 + 1.23147i
\(323\) 5.03658 + 0.565768i 0.280243 + 0.0314802i
\(324\) 1.00000i 0.0555556i
\(325\) 17.6423 + 15.5371i 0.978620 + 0.861842i
\(326\) 3.37273 + 4.01947i 0.186798 + 0.222618i
\(327\) 8.74524 + 4.07797i 0.483613 + 0.225512i
\(328\) 7.25450 3.38283i 0.400563 0.186786i
\(329\) 14.1770 16.8955i 0.781602 0.931477i
\(330\) −0.119371 0.570636i −0.00657115 0.0314125i
\(331\) −9.73608 + 5.62113i −0.535143 + 0.308965i −0.743108 0.669171i \(-0.766649\pi\)
0.207965 + 0.978136i \(0.433316\pi\)
\(332\) 6.00387 4.20395i 0.329505 0.230722i
\(333\) −8.68235 + 6.07945i −0.475790 + 0.333152i
\(334\) 10.2273 5.90475i 0.559615 0.323094i
\(335\) 12.5973 + 8.23866i 0.688266 + 0.450126i
\(336\) −2.60453 + 3.10396i −0.142089 + 0.169335i
\(337\) 4.52085 2.10811i 0.246266 0.114836i −0.295566 0.955322i \(-0.595508\pi\)
0.541833 + 0.840486i \(0.317731\pi\)
\(338\) 8.25293 + 3.84841i 0.448900 + 0.209326i
\(339\) 9.00830 + 10.7357i 0.489263 + 0.583082i
\(340\) −2.58159 + 0.308535i −0.140006 + 0.0167326i
\(341\) 0.196891i 0.0106623i
\(342\) −1.23137 + 4.18135i −0.0665851 + 0.226102i
\(343\) −6.92833 + 6.92833i −0.374095 + 0.374095i
\(344\) −1.23549 7.00680i −0.0666131 0.377781i
\(345\) 2.45523 17.0704i 0.132185 0.919038i
\(346\) 0.822899 0.299511i 0.0442393 0.0161018i
\(347\) −3.29562 7.06748i −0.176918 0.379402i 0.797773 0.602958i \(-0.206011\pi\)
−0.974691 + 0.223556i \(0.928233\pi\)
\(348\) 4.32498 0.378387i 0.231843 0.0202837i
\(349\) −25.9496 14.9820i −1.38905 0.801968i −0.395840 0.918319i \(-0.629547\pi\)
−0.993208 + 0.116352i \(0.962880\pi\)
\(350\) 18.5609 8.12084i 0.992120 0.434077i
\(351\) 0.816444 4.63028i 0.0435786 0.247146i
\(352\) −0.149543 0.213569i −0.00797066 0.0113833i
\(353\) 26.4661 + 7.09156i 1.40865 + 0.377446i 0.881442 0.472293i \(-0.156574\pi\)
0.527204 + 0.849739i \(0.323240\pi\)
\(354\) −7.65419 + 13.2574i −0.406815 + 0.704625i
\(355\) −0.658399 20.7740i −0.0349442 1.10257i
\(356\) −1.06261 + 2.91949i −0.0563182 + 0.154733i
\(357\) −1.99110 + 4.26992i −0.105380 + 0.225988i
\(358\) 1.98745 22.7167i 0.105040 1.20061i
\(359\) −16.1168 + 2.84182i −0.850610 + 0.149985i −0.581925 0.813243i \(-0.697700\pi\)
−0.268685 + 0.963228i \(0.586589\pi\)
\(360\) 0.124225 2.23261i 0.00654722 0.117669i
\(361\) −10.2976 + 15.9674i −0.541980 + 0.840391i
\(362\) −2.84290 2.84290i −0.149419 0.149419i
\(363\) −6.27035 + 8.95499i −0.329108 + 0.470015i
\(364\) 14.5939 12.2458i 0.764929 0.641852i
\(365\) −3.26551 10.8055i −0.170924 0.565583i
\(366\) −11.9223 4.33935i −0.623187 0.226822i
\(367\) 2.67560 + 30.5823i 0.139665 + 1.59638i 0.665900 + 0.746041i \(0.268048\pi\)
−0.526234 + 0.850340i \(0.676397\pi\)
\(368\) −1.99618 7.44986i −0.104058 0.388351i
\(369\) 4.00223 + 6.93207i 0.208348 + 0.360869i
\(370\) 20.1396 12.4945i 1.04701 0.649558i
\(371\) −33.5785 5.92080i −1.74331 0.307393i
\(372\) −0.195456 + 0.729451i −0.0101339 + 0.0378203i
\(373\) −1.35387 + 0.362767i −0.0701005 + 0.0187834i −0.293699 0.955898i \(-0.594886\pi\)
0.223598 + 0.974681i \(0.428220\pi\)
\(374\) −0.232226 0.194860i −0.0120081 0.0100760i
\(375\) −5.51465 + 9.72567i −0.284775 + 0.502231i
\(376\) 1.86168 + 5.11493i 0.0960090 + 0.263782i
\(377\) −20.3348 1.77907i −1.04730 0.0916266i
\(378\) −3.31915 2.32409i −0.170719 0.119538i
\(379\) −13.6563 −0.701477 −0.350738 0.936473i \(-0.614069\pi\)
−0.350738 + 0.936473i \(0.614069\pi\)
\(380\) 3.26861 9.18238i 0.167676 0.471046i
\(381\) −5.68304 −0.291151
\(382\) −18.7285 13.1138i −0.958232 0.670961i
\(383\) 30.3811 + 2.65800i 1.55240 + 0.135817i 0.830831 0.556524i \(-0.187865\pi\)
0.721570 + 0.692342i \(0.243421\pi\)
\(384\) −0.342020 0.939693i −0.0174536 0.0479535i
\(385\) 2.17145 + 0.930000i 0.110667 + 0.0473972i
\(386\) 12.3052 + 10.3253i 0.626316 + 0.525542i
\(387\) 6.87246 1.84147i 0.349347 0.0936072i
\(388\) 1.54800 5.77723i 0.0785880 0.293294i
\(389\) 19.4395 + 3.42770i 0.985620 + 0.173791i 0.643152 0.765738i \(-0.277626\pi\)
0.342468 + 0.939530i \(0.388737\pi\)
\(390\) −2.39800 + 10.2362i −0.121427 + 0.518331i
\(391\) −4.48390 7.76634i −0.226761 0.392761i
\(392\) −2.43759 9.09723i −0.123117 0.459479i
\(393\) 0.423610 + 4.84189i 0.0213683 + 0.244241i
\(394\) −10.1420 3.69137i −0.510945 0.185969i
\(395\) −12.0703 + 22.5255i −0.607325 + 1.13338i
\(396\) 0.199723 0.167588i 0.0100365 0.00842159i
\(397\) 0.918100 1.31118i 0.0460781 0.0658063i −0.795452 0.606017i \(-0.792766\pi\)
0.841530 + 0.540210i \(0.181655\pi\)
\(398\) −14.4905 14.4905i −0.726344 0.726344i
\(399\) −11.0167 13.8050i −0.551525 0.691113i
\(400\) −0.554692 + 4.96914i −0.0277346 + 0.248457i
\(401\) −6.73811 + 1.18811i −0.336485 + 0.0593314i −0.339338 0.940665i \(-0.610203\pi\)
0.00285278 + 0.999996i \(0.499092\pi\)
\(402\) −0.586693 + 6.70593i −0.0292616 + 0.334461i
\(403\) 1.50057 3.21799i 0.0747488 0.160299i
\(404\) −1.41712 + 3.89351i −0.0705045 + 0.193710i
\(405\) 2.23495 0.0708331i 0.111055 0.00351972i
\(406\) −8.79574 + 15.2347i −0.436525 + 0.756084i
\(407\) 2.66926 + 0.715226i 0.132310 + 0.0354524i
\(408\) −0.666919 0.952459i −0.0330174 0.0471537i
\(409\) −2.05975 + 11.6814i −0.101848 + 0.577609i 0.890584 + 0.454818i \(0.150296\pi\)
−0.992433 + 0.122791i \(0.960815\pi\)
\(410\) −8.07430 15.9738i −0.398761 0.788890i
\(411\) 3.81702 + 2.20376i 0.188280 + 0.108703i
\(412\) 10.1699 0.889747i 0.501033 0.0438347i
\(413\) −26.2144 56.2169i −1.28992 2.76625i
\(414\) 7.24753 2.63788i 0.356197 0.129645i
\(415\) −9.82088 13.1205i −0.482088 0.644062i
\(416\) 0.816444 + 4.63028i 0.0400295 + 0.227018i
\(417\) 5.95245 5.95245i 0.291493 0.291493i
\(418\) 1.04148 0.454809i 0.0509403 0.0222454i
\(419\) 7.05503i 0.344661i −0.985039 0.172330i \(-0.944870\pi\)
0.985039 0.172330i \(-0.0551296\pi\)
\(420\) 7.12167 + 5.60112i 0.347502 + 0.273307i
\(421\) 12.8478 + 15.3115i 0.626166 + 0.746235i 0.982117 0.188269i \(-0.0602878\pi\)
−0.355952 + 0.934504i \(0.615843\pi\)
\(422\) −0.182193 0.0849581i −0.00886902 0.00413569i
\(423\) −4.93321 + 2.30039i −0.239861 + 0.111849i
\(424\) 5.40898 6.44618i 0.262683 0.313054i
\(425\) 0.872420 + 5.74786i 0.0423186 + 0.278812i
\(426\) 8.04978 4.64754i 0.390013 0.225174i
\(427\) 42.1114 29.4867i 2.03791 1.42696i
\(428\) 7.23698 5.06739i 0.349812 0.244941i
\(429\) −1.06160 + 0.612915i −0.0512545 + 0.0295918i
\(430\) −15.5723 + 3.25756i −0.750963 + 0.157094i
\(431\) 18.3111 21.8223i 0.882015 1.05114i −0.116306 0.993213i \(-0.537105\pi\)
0.998321 0.0579307i \(-0.0184502\pi\)
\(432\) 0.906308 0.422618i 0.0436048 0.0203332i
\(433\) −10.1080 4.71344i −0.485760 0.226513i 0.164280 0.986414i \(-0.447470\pi\)
−0.650040 + 0.759900i \(0.725248\pi\)
\(434\) −1.96690 2.34406i −0.0944141 0.112518i
\(435\) −1.15203 9.63930i −0.0552354 0.462169i
\(436\) 9.64931i 0.462118i
\(437\) 33.5527 2.10551i 1.60504 0.100720i
\(438\) 3.56961 3.56961i 0.170563 0.170563i
\(439\) −1.82803 10.3673i −0.0872472 0.494803i −0.996849 0.0793223i \(-0.974724\pi\)
0.909602 0.415481i \(-0.136387\pi\)
\(440\) −0.466723 + 0.349348i −0.0222502 + 0.0166545i
\(441\) 8.85016 3.22119i 0.421436 0.153390i
\(442\) 2.31039 + 4.95466i 0.109894 + 0.235669i
\(443\) 4.48334 0.392241i 0.213010 0.0186359i 0.0198486 0.999803i \(-0.493682\pi\)
0.193161 + 0.981167i \(0.438126\pi\)
\(444\) 9.17917 + 5.29960i 0.435624 + 0.251508i
\(445\) 6.60018 + 2.16808i 0.312878 + 0.102777i
\(446\) 0.525196 2.97853i 0.0248688 0.141038i
\(447\) 6.09860 + 8.70971i 0.288454 + 0.411955i
\(448\) 3.91386 + 1.04872i 0.184913 + 0.0495472i
\(449\) 8.22738 14.2502i 0.388274 0.672511i −0.603943 0.797027i \(-0.706405\pi\)
0.992218 + 0.124517i \(0.0397380\pi\)
\(450\) −4.99857 0.119493i −0.235635 0.00563295i
\(451\) 0.713770 1.96107i 0.0336101 0.0923430i
\(452\) 5.92275 12.7014i 0.278583 0.597423i
\(453\) 1.17175 13.3931i 0.0550535 0.629264i
\(454\) −11.3988 + 2.00991i −0.534971 + 0.0943298i
\(455\) −28.4023 31.7492i −1.33152 1.48843i
\(456\) 4.30999 0.651112i 0.201834 0.0304911i
\(457\) 29.8204 + 29.8204i 1.39494 + 1.39494i 0.813812 + 0.581128i \(0.197388\pi\)
0.581128 + 0.813812i \(0.302612\pi\)
\(458\) −11.2951 + 16.1311i −0.527785 + 0.753756i
\(459\) 0.890709 0.747393i 0.0415747 0.0348853i
\(460\) −16.5086 + 4.98906i −0.769719 + 0.232616i
\(461\) 9.82740 + 3.57688i 0.457708 + 0.166592i 0.560576 0.828103i \(-0.310580\pi\)
−0.102868 + 0.994695i \(0.532802\pi\)
\(462\) 0.0920730 + 1.05240i 0.00428362 + 0.0489620i
\(463\) 6.51568 + 24.3168i 0.302809 + 1.13010i 0.934815 + 0.355136i \(0.115565\pi\)
−0.632005 + 0.774964i \(0.717768\pi\)
\(464\) −2.17075 3.75985i −0.100775 0.174547i
\(465\) 1.64413 + 0.385164i 0.0762446 + 0.0178615i
\(466\) −10.9538 1.93145i −0.507425 0.0894727i
\(467\) −1.79136 + 6.68546i −0.0828944 + 0.309366i −0.994907 0.100796i \(-0.967861\pi\)
0.912013 + 0.410162i \(0.134528\pi\)
\(468\) −4.54151 + 1.21689i −0.209931 + 0.0562509i
\(469\) −20.8944 17.5325i −0.964816 0.809576i
\(470\) 11.2997 4.52307i 0.521218 0.208634i
\(471\) 5.82132 + 15.9939i 0.268232 + 0.736962i
\(472\) 15.2501 + 1.33421i 0.701944 + 0.0614121i
\(473\) −1.51952 1.06398i −0.0698677 0.0489219i
\(474\) −11.4289 −0.524944
\(475\) −20.7537 6.65476i −0.952243 0.305341i
\(476\) 4.71133 0.215944
\(477\) 6.89307 + 4.82658i 0.315612 + 0.220994i
\(478\) 26.0127 + 2.27582i 1.18979 + 0.104093i
\(479\) −0.519254 1.42664i −0.0237253 0.0651847i 0.927265 0.374407i \(-0.122154\pi\)
−0.950990 + 0.309222i \(0.899931\pi\)
\(480\) −2.07594 + 0.830958i −0.0947531 + 0.0379279i
\(481\) −38.1753 32.0329i −1.74065 1.46058i
\(482\) −3.50510 + 0.939190i −0.159653 + 0.0427789i
\(483\) −8.08840 + 30.1863i −0.368035 + 1.37352i
\(484\) 10.7659 + 1.89833i 0.489361 + 0.0862876i
\(485\) −13.0214 3.05049i −0.591273 0.138515i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −2.51684 9.39299i −0.114049 0.425637i 0.885165 0.465277i \(-0.154045\pi\)
−0.999214 + 0.0396404i \(0.987379\pi\)
\(488\) 1.10578 + 12.6391i 0.0500564 + 0.572147i
\(489\) 4.93060 + 1.79459i 0.222970 + 0.0811543i
\(490\) −20.1591 + 6.09228i −0.910697 + 0.275221i
\(491\) −5.73227 + 4.80994i −0.258694 + 0.217070i −0.762905 0.646511i \(-0.776228\pi\)
0.504212 + 0.863580i \(0.331783\pi\)
\(492\) 4.59117 6.55687i 0.206986 0.295607i
\(493\) −3.56950 3.56950i −0.160762 0.160762i
\(494\) −20.4881 0.504035i −0.921803 0.0226776i
\(495\) −0.388696 0.434500i −0.0174706 0.0195293i
\(496\) 0.743710 0.131136i 0.0333936 0.00588819i
\(497\) −3.28255 + 37.5197i −0.147242 + 1.68299i
\(498\) 3.09752 6.64266i 0.138803 0.297665i
\(499\) 7.36097 20.2241i 0.329522 0.905354i −0.658711 0.752396i \(-0.728898\pi\)
0.988233 0.152958i \(-0.0488800\pi\)
\(500\) 11.1450 + 0.887728i 0.498421 + 0.0397004i
\(501\) 5.90475 10.2273i 0.263805 0.456924i
\(502\) −10.8913 2.91832i −0.486103 0.130251i
\(503\) 5.11863 + 7.31016i 0.228228 + 0.325944i 0.916891 0.399138i \(-0.130691\pi\)
−0.688662 + 0.725082i \(0.741802\pi\)
\(504\) −0.703610 + 3.99037i −0.0313413 + 0.177745i
\(505\) 8.80217 + 2.89140i 0.391691 + 0.128666i
\(506\) −1.74144 1.00542i −0.0774166 0.0446965i
\(507\) 9.07145 0.793649i 0.402877 0.0352472i
\(508\) 2.40176 + 5.15058i 0.106561 + 0.228520i
\(509\) −9.40036 + 3.42145i −0.416663 + 0.151653i −0.541840 0.840481i \(-0.682272\pi\)
0.125177 + 0.992134i \(0.460050\pi\)
\(510\) −2.08145 + 1.55799i −0.0921684 + 0.0689891i
\(511\) 3.55196 + 20.1442i 0.157130 + 0.891126i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 1.02428 + 4.23685i 0.0452229 + 0.187061i
\(514\) 13.8409i 0.610497i
\(515\) −2.70890 22.6661i −0.119368 0.998786i
\(516\) −4.57336 5.45032i −0.201331 0.239937i
\(517\) 1.28619 + 0.599759i 0.0565664 + 0.0263774i
\(518\) −38.9234 + 18.1503i −1.71020 + 0.797477i
\(519\) 0.562896 0.670833i 0.0247084 0.0294463i
\(520\) 10.2906 2.15269i 0.451273 0.0944015i
\(521\) 25.2621 14.5851i 1.10675 0.638985i 0.168767 0.985656i \(-0.446021\pi\)
0.937987 + 0.346671i \(0.112688\pi\)
\(522\) 3.55635 2.49019i 0.155657 0.108992i
\(523\) −5.64654 + 3.95375i −0.246906 + 0.172886i −0.690478 0.723353i \(-0.742600\pi\)
0.443572 + 0.896239i \(0.353711\pi\)
\(524\) 4.20921 2.43019i 0.183880 0.106163i
\(525\) 12.0138 16.3133i 0.524323 0.711970i
\(526\) 3.94639 4.70313i 0.172071 0.205066i
\(527\) 0.795811 0.371093i 0.0346661 0.0161651i
\(528\) −0.236293 0.110185i −0.0102833 0.00479519i
\(529\) −23.4522 27.9492i −1.01966 1.21518i
\(530\) −14.7900 11.6322i −0.642436 0.505270i
\(531\) 15.3084i 0.664327i
\(532\) −7.85569 + 15.8188i −0.340587 + 0.685830i
\(533\) −26.6117 + 26.6117i −1.15268 + 1.15268i
\(534\) 0.539501 + 3.05966i 0.0233465 + 0.132404i
\(535\) −11.8379 15.8153i −0.511799 0.683755i
\(536\) 6.32558 2.30232i 0.273224 0.0994452i
\(537\) −9.63716 20.6669i −0.415874 0.891845i
\(538\) −5.53441 + 0.484199i −0.238606 + 0.0208753i
\(539\) −2.12652 1.22775i −0.0915958 0.0528829i
\(540\) −1.00873 1.99561i −0.0434086 0.0858775i
\(541\) −7.25340 + 41.1361i −0.311848 + 1.76858i 0.277527 + 0.960718i \(0.410485\pi\)
−0.589375 + 0.807860i \(0.700626\pi\)
\(542\) 15.6724 + 22.3825i 0.673186 + 0.961410i
\(543\) −3.88347 1.04057i −0.166656 0.0446553i
\(544\) −0.581369 + 1.00696i −0.0249260 + 0.0431731i
\(545\) −21.5657 + 0.683490i −0.923772 + 0.0292775i
\(546\) 6.51583 17.9021i 0.278852 0.766139i
\(547\) 19.6451 42.1290i 0.839963 1.80131i 0.318903 0.947787i \(-0.396686\pi\)
0.521061 0.853520i \(-0.325537\pi\)
\(548\) 0.384141 4.39075i 0.0164097 0.187563i
\(549\) −12.4947 + 2.20315i −0.533260 + 0.0940280i
\(550\) 0.813833 + 1.01836i 0.0347020 + 0.0434228i
\(551\) 17.9367 6.03314i 0.764130 0.257020i
\(552\) −5.45367 5.45367i −0.232124 0.232124i
\(553\) 26.5617 37.9340i 1.12952 1.61312i
\(554\) −6.07645 + 5.09875i −0.258164 + 0.216625i
\(555\) 11.1941 20.8903i 0.475164 0.886745i
\(556\) −7.91037 2.87914i −0.335474 0.122103i
\(557\) −3.13099 35.7874i −0.132665 1.51636i −0.712525 0.701647i \(-0.752449\pi\)
0.579861 0.814716i \(-0.303107\pi\)
\(558\) 0.195456 + 0.729451i 0.00827430 + 0.0308801i
\(559\) 16.7261 + 28.9704i 0.707438 + 1.22532i
\(560\) 2.06659 8.82156i 0.0873295 0.372779i
\(561\) −0.298543 0.0526413i −0.0126045 0.00222252i
\(562\) 6.73728 25.1439i 0.284195 1.06063i
\(563\) −18.6552 + 4.99864i −0.786222 + 0.210668i −0.629526 0.776979i \(-0.716751\pi\)
−0.156696 + 0.987647i \(0.550084\pi\)
\(564\) 4.16973 + 3.49882i 0.175577 + 0.147327i
\(565\) −28.8064 12.3373i −1.21190 0.519036i
\(566\) 0.908821 + 2.49696i 0.0382006 + 0.104955i
\(567\) −4.03651 0.353149i −0.169518 0.0148309i
\(568\) −7.61409 5.33144i −0.319480 0.223702i
\(569\) 22.7134 0.952197 0.476099 0.879392i \(-0.342051\pi\)
0.476099 + 0.879392i \(0.342051\pi\)
\(570\) −1.76049 9.58648i −0.0737388 0.401534i
\(571\) 0.698999 0.0292522 0.0146261 0.999893i \(-0.495344\pi\)
0.0146261 + 0.999893i \(0.495344\pi\)
\(572\) 1.00414 + 0.703107i 0.0419853 + 0.0293984i
\(573\) −22.7762 1.99266i −0.951491 0.0832447i
\(574\) 11.0929 + 30.4775i 0.463009 + 1.27211i
\(575\) 12.3196 + 36.5425i 0.513764 + 1.52393i
\(576\) −0.766044 0.642788i −0.0319185 0.0267828i
\(577\) −24.2415 + 6.49550i −1.00919 + 0.270411i −0.725290 0.688443i \(-0.758294\pi\)
−0.283898 + 0.958854i \(0.591628\pi\)
\(578\) 4.05001 15.1148i 0.168458 0.628695i
\(579\) 15.8192 + 2.78935i 0.657424 + 0.115922i
\(580\) −8.24931 + 5.11784i −0.342534 + 0.212507i
\(581\) 14.8490 + 25.7193i 0.616042 + 1.06702i
\(582\) −1.54800 5.77723i −0.0641668 0.239474i
\(583\) −0.191213 2.18558i −0.00791925 0.0905175i
\(584\) −4.74375 1.72658i −0.196298 0.0714466i
\(585\) 3.04138 + 10.0638i 0.125746 + 0.416088i
\(586\) 4.98894 4.18622i 0.206091 0.172931i
\(587\) 10.8325 15.4704i 0.447105 0.638533i −0.530821 0.847484i \(-0.678116\pi\)
0.977926 + 0.208951i \(0.0670051\pi\)
\(588\) −6.65963 6.65963i −0.274639 0.274639i
\(589\) −0.0809575 + 3.29077i −0.00333580 + 0.135594i
\(590\) 1.90168 34.1777i 0.0782909 1.40707i
\(591\) −10.6289 + 1.87416i −0.437214 + 0.0770926i
\(592\) 0.923781 10.5589i 0.0379671 0.433966i
\(593\) −3.88179 + 8.32452i −0.159406 + 0.341847i −0.969747 0.244111i \(-0.921504\pi\)
0.810341 + 0.585958i \(0.199282\pi\)
\(594\) 0.0891715 0.244997i 0.00365875 0.0100523i
\(595\) −0.333718 10.5296i −0.0136811 0.431670i
\(596\) 5.31630 9.20809i 0.217764 0.377178i
\(597\) −19.7944 5.30390i −0.810131 0.217074i
\(598\) 20.7994 + 29.7047i 0.850552 + 1.21471i
\(599\) −2.04372 + 11.5905i −0.0835043 + 0.473577i 0.914165 + 0.405342i \(0.132848\pi\)
−0.997669 + 0.0682343i \(0.978263\pi\)
\(600\) 2.00419 + 4.58074i 0.0818207 + 0.187008i
\(601\) 11.8031 + 6.81451i 0.481458 + 0.277970i 0.721024 0.692910i \(-0.243672\pi\)
−0.239566 + 0.970880i \(0.577005\pi\)
\(602\) 28.7193 2.51262i 1.17051 0.102407i
\(603\) 2.84487 + 6.10085i 0.115852 + 0.248446i
\(604\) −12.6335 + 4.59822i −0.514050 + 0.187099i
\(605\) 3.48007 24.1958i 0.141485 0.983698i
\(606\) 0.719492 + 4.08044i 0.0292274 + 0.165757i
\(607\) −19.1279 + 19.1279i −0.776379 + 0.776379i −0.979213 0.202834i \(-0.934985\pi\)
0.202834 + 0.979213i \(0.434985\pi\)
\(608\) −2.41159 3.63101i −0.0978029 0.147257i
\(609\) 17.5915i 0.712843i
\(610\) 28.1695 3.36663i 1.14055 0.136311i
\(611\) −16.4504 19.6049i −0.665514 0.793128i
\(612\) −1.05380 0.491394i −0.0425973 0.0198634i
\(613\) 3.32904 1.55236i 0.134459 0.0626991i −0.354225 0.935160i \(-0.615255\pi\)
0.488683 + 0.872461i \(0.337477\pi\)
\(614\) 13.0462 15.5478i 0.526501 0.627459i
\(615\) −14.9795 9.79657i −0.604030 0.395036i
\(616\) 0.914886 0.528210i 0.0368618 0.0212822i
\(617\) −3.77417 + 2.64271i −0.151943 + 0.106391i −0.647076 0.762426i \(-0.724008\pi\)
0.495133 + 0.868817i \(0.335119\pi\)
\(618\) 8.36248 5.85547i 0.336388 0.235542i
\(619\) −12.9872 + 7.49815i −0.521999 + 0.301376i −0.737752 0.675072i \(-0.764113\pi\)
0.215753 + 0.976448i \(0.430779\pi\)
\(620\) −0.345762 1.65286i −0.0138861 0.0663806i
\(621\) 4.95760 5.90824i 0.198942 0.237090i
\(622\) 3.60394 1.68055i 0.144505 0.0673838i
\(623\) −11.4093 5.32025i −0.457104 0.213151i
\(624\) 3.02220 + 3.60172i 0.120985 + 0.144184i
\(625\) 1.19459 24.9714i 0.0477835 0.998858i
\(626\) 2.29506i 0.0917290i
\(627\) 0.674540 0.914614i 0.0269385 0.0365262i
\(628\) 12.0352 12.0352i 0.480258 0.480258i
\(629\) −2.14005 12.1369i −0.0853296 0.483928i
\(630\) 8.96811 + 1.28988i 0.357298 + 0.0513901i
\(631\) 21.9430 7.98660i 0.873537 0.317941i 0.133938 0.990990i \(-0.457238\pi\)
0.739599 + 0.673048i \(0.235015\pi\)
\(632\) 4.83004 + 10.3581i 0.192129 + 0.412021i
\(633\) −0.200263 + 0.0175207i −0.00795974 + 0.000696387i
\(634\) −1.15185 0.665019i −0.0457457 0.0264113i
\(635\) 11.3411 5.73263i 0.450060 0.227492i
\(636\) 1.46123 8.28704i 0.0579415 0.328603i
\(637\) 25.3988 + 36.2732i 1.00634 + 1.43720i
\(638\) −1.09335 0.292962i −0.0432861 0.0115985i
\(639\) 4.64754 8.04978i 0.183854 0.318444i
\(640\) 1.63043 + 1.53026i 0.0644485 + 0.0604888i
\(641\) −16.3026 + 44.7910i −0.643914 + 1.76914i −0.00484511 + 0.999988i \(0.501542\pi\)
−0.639068 + 0.769150i \(0.720680\pi\)
\(642\) 3.73371 8.00697i 0.147358 0.316010i
\(643\) −2.20949 + 25.2546i −0.0871338 + 0.995944i 0.819235 + 0.573457i \(0.194398\pi\)
−0.906369 + 0.422486i \(0.861157\pi\)
\(644\) 30.7764 5.42671i 1.21276 0.213842i
\(645\) −11.8572 + 10.6073i −0.466878 + 0.417661i
\(646\) −3.80121 3.35231i −0.149557 0.131895i
\(647\) −4.81622 4.81622i −0.189345 0.189345i 0.606068 0.795413i \(-0.292746\pi\)
−0.795413 + 0.606068i \(0.792746\pi\)
\(648\) 0.573576 0.819152i 0.0225322 0.0321793i
\(649\) 3.05744 2.56549i 0.120015 0.100704i
\(650\) −5.54005 22.8465i −0.217299 0.896112i
\(651\) −2.87541 1.04656i −0.112696 0.0410181i
\(652\) −0.457310 5.22707i −0.0179096 0.204708i
\(653\) 5.59949 + 20.8976i 0.219125 + 0.817785i 0.984674 + 0.174407i \(0.0558010\pi\)
−0.765549 + 0.643378i \(0.777532\pi\)
\(654\) −4.82465 8.35655i −0.188659 0.326767i
\(655\) −5.72950 9.23523i −0.223870 0.360850i
\(656\) −7.88285 1.38996i −0.307774 0.0542688i
\(657\) 1.30657 4.87618i 0.0509741 0.190238i
\(658\) −21.3039 + 5.70837i −0.830514 + 0.222536i
\(659\) 21.4833 + 18.0266i 0.836870 + 0.702217i 0.956857 0.290558i \(-0.0938409\pi\)
−0.119987 + 0.992775i \(0.538285\pi\)
\(660\) −0.229520 + 0.535906i −0.00893406 + 0.0208601i
\(661\) −10.9610 30.1152i −0.426335 1.17135i −0.948021 0.318208i \(-0.896919\pi\)
0.521686 0.853137i \(-0.325303\pi\)
\(662\) 11.1995 + 0.979827i 0.435280 + 0.0380821i
\(663\) 4.47819 + 3.13566i 0.173918 + 0.121779i
\(664\) −7.32937 −0.284435
\(665\) 35.9105 + 16.4365i 1.39255 + 0.637382i
\(666\) 10.5992 0.410710
\(667\) −27.4289 19.2059i −1.06205 0.743657i
\(668\) −11.7646 1.02927i −0.455185 0.0398235i
\(669\) −1.03443 2.84208i −0.0399935 0.109881i
\(670\) −5.59363 13.9743i −0.216101 0.539873i
\(671\) 2.53397 + 2.12625i 0.0978229 + 0.0820831i
\(672\) 3.91386 1.04872i 0.150981 0.0404551i
\(673\) 1.90705 7.11722i 0.0735115 0.274349i −0.919380 0.393370i \(-0.871309\pi\)
0.992892 + 0.119022i \(0.0379758\pi\)
\(674\) −4.91242 0.866193i −0.189220 0.0333645i
\(675\) −4.38864 + 2.39580i −0.168919 + 0.0922145i
\(676\) −4.55305 7.88612i −0.175117 0.303312i
\(677\) −6.93093 25.8666i −0.266377 0.994133i −0.961402 0.275147i \(-0.911273\pi\)
0.695025 0.718986i \(-0.255393\pi\)
\(678\) −1.22144 13.9611i −0.0469090 0.536173i
\(679\) 22.7732 + 8.28876i 0.873954 + 0.318093i
\(680\) 2.29168 + 1.22800i 0.0878820 + 0.0470917i
\(681\) −8.86667 + 7.44002i −0.339771 + 0.285102i
\(682\) 0.112932 0.161284i 0.00432440 0.00617588i
\(683\) 26.2342 + 26.2342i 1.00382 + 1.00382i 0.999993 + 0.00382932i \(0.00121891\pi\)
0.00382932 + 0.999993i \(0.498781\pi\)
\(684\) 3.40701 2.71888i 0.130270 0.103959i
\(685\) −9.84029 0.547523i −0.375978 0.0209198i
\(686\) 9.64929 1.70143i 0.368412 0.0649609i
\(687\) −1.71631 + 19.6175i −0.0654812 + 0.748453i
\(688\) −3.00688 + 6.44828i −0.114636 + 0.245838i
\(689\) −13.5318 + 37.1784i −0.515521 + 1.41638i
\(690\) −11.8024 + 12.5750i −0.449308 + 0.478721i
\(691\) 14.5521 25.2050i 0.553588 0.958843i −0.444424 0.895817i \(-0.646592\pi\)
0.998012 0.0630260i \(-0.0200751\pi\)
\(692\) −0.845872 0.226651i −0.0321552 0.00861596i
\(693\) 0.605937 + 0.865368i 0.0230177 + 0.0328726i
\(694\) −1.35413 + 7.67963i −0.0514019 + 0.291515i
\(695\) −5.87441 + 17.8832i −0.222829 + 0.678348i
\(696\) −3.75985 2.17075i −0.142517 0.0822822i
\(697\) −9.27167 + 0.811166i −0.351190 + 0.0307251i
\(698\) 12.6633 + 27.1566i 0.479314 + 1.02789i
\(699\) −10.4520 + 3.80421i −0.395331 + 0.143889i
\(700\) −19.8621 3.99387i −0.750716 0.150954i
\(701\) −3.50278 19.8652i −0.132298 0.750299i −0.976703 0.214594i \(-0.931157\pi\)
0.844405 0.535705i \(-0.179954\pi\)
\(702\) −3.32461 + 3.32461i −0.125479 + 0.125479i
\(703\) 44.3190 + 13.0516i 1.67152 + 0.492249i
\(704\) 0.260720i 0.00982625i
\(705\) 7.52432 9.56695i 0.283382 0.360312i
\(706\) −17.6122 20.9894i −0.662843 0.789945i
\(707\) −15.2158 7.09522i −0.572247 0.266843i
\(708\) 13.8741 6.46960i 0.521420 0.243142i
\(709\) −19.1536 + 22.8264i −0.719328 + 0.857262i −0.994565 0.104115i \(-0.966799\pi\)
0.275237 + 0.961376i \(0.411244\pi\)
\(710\) −11.3762 + 17.3947i −0.426939 + 0.652812i
\(711\) −9.89767 + 5.71443i −0.371192 + 0.214308i
\(712\) 2.54499 1.78202i 0.0953776 0.0667841i
\(713\) 4.77113 3.34078i 0.178680 0.125113i
\(714\) 4.08013 2.35567i 0.152695 0.0881586i
\(715\) 1.50028 2.29401i 0.0561073 0.0857909i
\(716\) −14.6578 + 17.4685i −0.547787 + 0.652827i
\(717\) 23.6656 11.0354i 0.883807 0.412126i
\(718\) 14.8321 + 6.91631i 0.553528 + 0.258114i
\(719\) −0.423096 0.504226i −0.0157788 0.0188044i 0.758097 0.652141i \(-0.226129\pi\)
−0.773876 + 0.633337i \(0.781685\pi\)
\(720\) −1.38233 + 1.75760i −0.0515166 + 0.0655018i
\(721\) 41.3650i 1.54051i
\(722\) 17.5939 7.17328i 0.654776 0.266962i
\(723\) −2.56591 + 2.56591i −0.0954274 + 0.0954274i
\(724\) 0.698146 + 3.95939i 0.0259464 + 0.147149i
\(725\) 12.0224 + 18.0742i 0.446501 + 0.671261i
\(726\) 10.2727 3.73897i 0.381257 0.138766i
\(727\) 22.3862 + 48.0073i 0.830257 + 1.78049i 0.584997 + 0.811036i \(0.301096\pi\)
0.245261 + 0.969457i \(0.421126\pi\)
\(728\) −18.9785 + 1.66041i −0.703391 + 0.0615387i
\(729\) 0.866025 + 0.500000i 0.0320750 + 0.0185185i
\(730\) −3.52281 + 10.7243i −0.130385 + 0.396925i
\(731\) −1.43655 + 8.14707i −0.0531327 + 0.301330i
\(732\) 7.27721 + 10.3929i 0.268973 + 0.384134i
\(733\) −14.1769 3.79869i −0.523636 0.140308i −0.0126881 0.999920i \(-0.504039\pi\)
−0.510948 + 0.859612i \(0.670706\pi\)
\(734\) 15.3495 26.5862i 0.566562 0.981314i
\(735\) −14.4122 + 15.3556i −0.531602 + 0.566401i
\(736\) −2.63788 + 7.24753i −0.0972337 + 0.267147i
\(737\) 0.741715 1.59061i 0.0273214 0.0585910i
\(738\) 0.697635 7.97400i 0.0256803 0.293527i
\(739\) 12.4808 2.20070i 0.459114 0.0809541i 0.0606921 0.998157i \(-0.480669\pi\)
0.398422 + 0.917202i \(0.369558\pi\)
\(740\) −23.6639 1.31668i −0.869903 0.0484022i
\(741\) −17.9952 + 9.80754i −0.661071 + 0.360289i
\(742\) 24.1099 + 24.1099i 0.885102 + 0.885102i
\(743\) −15.4467 + 22.0601i −0.566684 + 0.809308i −0.995567 0.0940517i \(-0.970018\pi\)
0.428884 + 0.903360i \(0.358907\pi\)
\(744\) 0.578504 0.485422i 0.0212090 0.0177964i
\(745\) −20.9562 11.2294i −0.767774 0.411413i
\(746\) 1.31710 + 0.479384i 0.0482223 + 0.0175515i
\(747\) −0.638796 7.30148i −0.0233723 0.267147i
\(748\) 0.0784607 + 0.292819i 0.00286881 + 0.0107065i
\(749\) 17.8988 + 31.0017i 0.654009 + 1.13278i
\(750\) 10.0958 4.80373i 0.368645 0.175407i
\(751\) 19.7795 + 3.48766i 0.721764 + 0.127266i 0.522451 0.852669i \(-0.325018\pi\)
0.199313 + 0.979936i \(0.436129\pi\)
\(752\) 1.40880 5.25772i 0.0513738 0.191729i
\(753\) −10.8913 + 2.91832i −0.396902 + 0.106350i
\(754\) 15.6369 + 13.1209i 0.569462 + 0.477835i
\(755\) 11.1716 + 27.9095i 0.406577 + 1.01573i
\(756\) 1.38584 + 3.80757i 0.0504026 + 0.138480i
\(757\) 54.6328 + 4.77975i 1.98566 + 0.173723i 0.999987 + 0.00507237i \(0.00161459\pi\)
0.985676 + 0.168651i \(0.0539410\pi\)
\(758\) 11.1866 + 7.83293i 0.406315 + 0.284505i
\(759\) −2.01084 −0.0729890
\(760\) −7.94429 + 5.64697i −0.288170 + 0.204837i
\(761\) 2.85138 0.103362 0.0516812 0.998664i \(-0.483542\pi\)
0.0516812 + 0.998664i \(0.483542\pi\)
\(762\) 4.65527 + 3.25966i 0.168643 + 0.118085i
\(763\) 38.9495 + 3.40764i 1.41007 + 0.123365i
\(764\) 7.81969 + 21.4844i 0.282906 + 0.777279i
\(765\) −1.02360 + 2.38999i −0.0370082 + 0.0864102i
\(766\) −23.3622 19.6032i −0.844109 0.708292i
\(767\) −69.5231 + 18.6286i −2.51033 + 0.672641i
\(768\) −0.258819 + 0.965926i −0.00933933 + 0.0348548i
\(769\) −44.1408 7.78322i −1.59176 0.280670i −0.693607 0.720354i \(-0.743979\pi\)
−0.898153 + 0.439684i \(0.855091\pi\)
\(770\) −1.24532 2.00731i −0.0448784 0.0723383i
\(771\) −6.92046 11.9866i −0.249234 0.431686i
\(772\) −4.15747 15.5159i −0.149631 0.558429i
\(773\) −1.51974 17.3708i −0.0546614 0.624783i −0.973278 0.229632i \(-0.926248\pi\)
0.918616 0.395151i \(-0.129308\pi\)
\(774\) −6.68581 2.43344i −0.240317 0.0874681i
\(775\) −3.66957 + 0.889836i −0.131815 + 0.0319638i
\(776\) −4.58173 + 3.84453i −0.164475 + 0.138011i
\(777\) −24.6335 + 35.1803i −0.883722 + 1.26209i
\(778\) −13.9578 13.9578i −0.500413 0.500413i
\(779\) 12.7360 32.4831i 0.456316 1.16383i
\(780\) 7.83558 7.00958i 0.280559 0.250983i
\(781\) −2.38660 + 0.420821i −0.0853992 + 0.0150582i
\(782\) −0.781595 + 8.93368i −0.0279498 + 0.319468i
\(783\) 1.83480 3.93474i 0.0655704 0.140616i
\(784\) −3.22119 + 8.85016i −0.115043 + 0.316077i
\(785\) −27.7506 26.0456i −0.990461 0.929608i
\(786\) 2.43019 4.20921i 0.0866820 0.150138i
\(787\) 34.7228 + 9.30394i 1.23773 + 0.331650i 0.817586 0.575806i \(-0.195312\pi\)
0.420147 + 0.907456i \(0.361978\pi\)
\(788\) 6.19052 + 8.84098i 0.220528 + 0.314947i
\(789\) 1.06611 6.04623i 0.0379546 0.215251i
\(790\) 22.8076 11.5286i 0.811457 0.410168i
\(791\) 49.1777 + 28.3927i 1.74856 + 1.00953i
\(792\) −0.259728 + 0.0227232i −0.00922903 + 0.000807435i
\(793\) −25.2103 54.0636i −0.895243 1.91986i
\(794\) −1.50413 + 0.547457i −0.0533794 + 0.0194285i
\(795\) −18.6246 2.67877i −0.660546 0.0950063i
\(796\) 3.55852 + 20.1814i 0.126128 + 0.715309i
\(797\) 24.3428 24.3428i 0.862267 0.862267i −0.129334 0.991601i \(-0.541284\pi\)
0.991601 + 0.129334i \(0.0412839\pi\)
\(798\) 1.10615 + 17.6273i 0.0391573 + 0.623999i
\(799\) 6.32901i 0.223904i
\(800\) 3.30456 3.75232i 0.116834 0.132665i
\(801\) 1.99705 + 2.37999i 0.0705623 + 0.0840929i
\(802\) 6.20101 + 2.89158i 0.218965 + 0.102105i
\(803\) −1.19285 + 0.556236i −0.0420948 + 0.0196291i
\(804\) 4.32695 5.15666i 0.152600 0.181861i
\(805\) −14.3084 68.3992i −0.504304 2.41075i
\(806\) −3.07496 + 1.77533i −0.108311 + 0.0625332i
\(807\) −4.55084 + 3.18654i −0.160197 + 0.112171i
\(808\) 3.39407 2.37655i 0.119403 0.0836068i
\(809\) −44.4567 + 25.6671i −1.56301 + 0.902406i −0.566064 + 0.824361i \(0.691534\pi\)
−0.996950 + 0.0780451i \(0.975132\pi\)
\(810\) −1.87139 1.22389i −0.0657539 0.0430031i
\(811\) 28.2668 33.6871i 0.992582 1.18291i 0.00946087 0.999955i \(-0.496988\pi\)
0.983121 0.182958i \(-0.0585671\pi\)
\(812\) 15.9433 7.43448i 0.559500 0.260899i
\(813\) 24.7639 + 11.5476i 0.868508 + 0.404992i
\(814\) −1.77629 2.11690i −0.0622590 0.0741974i
\(815\) −11.6498 + 1.39231i −0.408076 + 0.0487706i
\(816\) 1.16274i 0.0407040i
\(817\) −24.9593 18.4078i −0.873214 0.644007i
\(818\) 8.38744 8.38744i 0.293260 0.293260i
\(819\) −3.30817 18.7616i −0.115597 0.655583i
\(820\) −2.54812 + 17.7162i −0.0889842 + 0.618677i
\(821\) −18.4345 + 6.70960i −0.643368 + 0.234167i −0.643039 0.765833i \(-0.722327\pi\)
−0.000328559 1.00000i \(0.500105\pi\)
\(822\) −1.86270 3.99457i −0.0649690 0.139327i
\(823\) 39.8661 3.48783i 1.38964 0.121578i 0.632365 0.774670i \(-0.282084\pi\)
0.757278 + 0.653092i \(0.226529\pi\)
\(824\) −8.84100 5.10435i −0.307991 0.177819i
\(825\) 1.21398 + 0.475005i 0.0422653 + 0.0165376i
\(826\) −10.7711 + 61.0861i −0.374776 + 2.12546i
\(827\) −18.2931 26.1253i −0.636114 0.908464i 0.363620 0.931547i \(-0.381541\pi\)
−0.999734 + 0.0230831i \(0.992652\pi\)
\(828\) −7.44986 1.99618i −0.258900 0.0693722i
\(829\) 20.2762 35.1195i 0.704223 1.21975i −0.262748 0.964865i \(-0.584629\pi\)
0.966971 0.254886i \(-0.0820379\pi\)
\(830\) 0.519162 + 16.3807i 0.0180204 + 0.568584i
\(831\) −2.71299 + 7.45387i −0.0941125 + 0.258572i
\(832\) 1.98703 4.26120i 0.0688879 0.147730i
\(833\) −0.954428 + 10.9092i −0.0330690 + 0.377980i
\(834\) −8.29015 + 1.46178i −0.287064 + 0.0506172i
\(835\) −1.46703 + 26.3661i −0.0507688 + 0.912436i
\(836\) −1.11399 0.224808i −0.0385283 0.00777516i
\(837\) 0.533995 + 0.533995i 0.0184576 + 0.0184576i
\(838\) −4.04660 + 5.77914i −0.139787 + 0.199637i
\(839\) 14.0152 11.7601i 0.483858 0.406005i −0.367961 0.929841i \(-0.619944\pi\)
0.851819 + 0.523836i \(0.175500\pi\)
\(840\) −2.62106 8.67299i −0.0904350 0.299247i
\(841\) 9.53913 + 3.47196i 0.328936 + 0.119723i
\(842\) −1.74204 19.9116i −0.0600347 0.686200i
\(843\) −6.73728 25.1439i −0.232044 0.866001i
\(844\) 0.100514 + 0.174095i 0.00345983 + 0.00599261i
\(845\) −17.3025 + 10.7344i −0.595226 + 0.369275i
\(846\) 5.36050 + 0.945201i 0.184298 + 0.0324967i
\(847\) −11.4646 + 42.7865i −0.393928 + 1.47016i
\(848\) −8.12816 + 2.17793i −0.279122 + 0.0747905i
\(849\) 2.03554 + 1.70802i 0.0698597 + 0.0586192i
\(850\) 2.58219 5.20877i 0.0885684 0.178659i
\(851\) −27.9595 76.8180i −0.958438 2.63329i
\(852\) −9.25971 0.810120i −0.317233 0.0277543i
\(853\) 8.96432 + 6.27688i 0.306932 + 0.214916i 0.716887 0.697190i \(-0.245566\pi\)
−0.409954 + 0.912106i \(0.634455\pi\)
\(854\) −51.4085 −1.75916
\(855\) −6.31787 7.42189i −0.216067 0.253823i
\(856\) −8.83472 −0.301964
\(857\) 14.9859 + 10.4932i 0.511908 + 0.358442i 0.800812 0.598916i \(-0.204402\pi\)
−0.288903 + 0.957358i \(0.593291\pi\)
\(858\) 1.22117 + 0.106838i 0.0416899 + 0.00364739i
\(859\) −4.03068 11.0742i −0.137525 0.377846i 0.851743 0.523960i \(-0.175546\pi\)
−0.989268 + 0.146113i \(0.953324\pi\)
\(860\) 14.6245 + 6.26347i 0.498693 + 0.213583i
\(861\) 24.8455 + 20.8479i 0.846733 + 0.710493i
\(862\) −27.5163 + 7.37298i −0.937210 + 0.251125i
\(863\) −10.1726 + 37.9645i −0.346278 + 1.29233i 0.544834 + 0.838544i \(0.316593\pi\)
−0.891112 + 0.453784i \(0.850074\pi\)
\(864\) −0.984808 0.173648i −0.0335038 0.00590763i
\(865\) −0.446636 + 1.90653i −0.0151861 + 0.0648240i
\(866\) 5.57647 + 9.65874i 0.189496 + 0.328217i
\(867\) −4.05001 15.1148i −0.137546 0.513327i
\(868\) 0.266692 + 3.04831i 0.00905212 + 0.103466i
\(869\) 2.80003 + 1.01913i 0.0949845 + 0.0345715i
\(870\) −4.58519 + 8.55683i −0.155453 + 0.290104i
\(871\) −24.2451 + 20.3441i −0.821515 + 0.689333i
\(872\) −5.53462 + 7.90425i −0.187426 + 0.267672i
\(873\) −4.22923 4.22923i −0.143138 0.143138i
\(874\) −28.6924 17.5203i −0.970536 0.592633i
\(875\) −7.51919 + 44.6736i −0.254195 + 1.51024i
\(876\) −4.97150 + 0.876610i −0.167971 + 0.0296179i
\(877\) 0.346042 3.95528i 0.0116850 0.133560i −0.988111 0.153740i \(-0.950868\pi\)
0.999796 + 0.0201796i \(0.00642379\pi\)
\(878\) −4.44899 + 9.54090i −0.150146 + 0.321990i
\(879\) 2.22744 6.11985i 0.0751297 0.206417i
\(880\) 0.582695 0.0184676i 0.0196426 0.000622543i
\(881\) −20.7316 + 35.9082i −0.698465 + 1.20978i 0.270534 + 0.962711i \(0.412800\pi\)
−0.968999 + 0.247066i \(0.920533\pi\)
\(882\) −9.09723 2.43759i −0.306320 0.0820781i
\(883\) 11.4710 + 16.3823i 0.386030 + 0.551308i 0.964394 0.264471i \(-0.0851973\pi\)
−0.578363 + 0.815779i \(0.696308\pi\)
\(884\) 0.949310 5.38381i 0.0319288 0.181077i
\(885\) −15.4419 30.5496i −0.519075 1.02691i
\(886\) −3.89751 2.25023i −0.130940 0.0755980i
\(887\) −30.1053 + 2.63387i −1.01084 + 0.0884368i −0.580524 0.814243i \(-0.697152\pi\)
−0.430313 + 0.902680i \(0.641597\pi\)
\(888\) −4.47941 9.60613i −0.150319 0.322361i
\(889\) −21.6386 + 7.87579i −0.725734 + 0.264146i
\(890\) −4.16299 5.56169i −0.139544 0.186428i
\(891\) −0.0452735 0.256759i −0.00151672 0.00860175i
\(892\) −2.13863 + 2.13863i −0.0716067 + 0.0716067i
\(893\) 21.2503 + 10.5530i 0.711113 + 0.353143i
\(894\) 10.6326i 0.355607i
\(895\) 40.0793 + 31.5220i 1.33970 + 1.05366i
\(896\) −2.60453 3.10396i −0.0870113 0.103696i
\(897\) 32.8652 + 15.3253i 1.09734 + 0.511696i
\(898\) −14.9131 + 6.95409i −0.497656 + 0.232061i
\(899\) 2.10746 2.51158i 0.0702879 0.0837658i
\(900\) 4.02605 + 2.96495i 0.134202 + 0.0988315i
\(901\) −8.47346 + 4.89215i −0.282292 + 0.162981i
\(902\) −1.70951 + 1.19701i −0.0569204 + 0.0398561i
\(903\) 23.6154 16.5357i 0.785870 0.550272i
\(904\) −12.1368 + 7.00721i −0.403665 + 0.233056i
\(905\) 8.79956 1.84077i 0.292507 0.0611894i
\(906\) −8.64182 + 10.2989i −0.287105 + 0.342159i
\(907\) 30.3923 14.1722i 1.00916 0.470579i 0.153518 0.988146i \(-0.450940\pi\)
0.855643 + 0.517566i \(0.173162\pi\)
\(908\) 10.4902 + 4.89164i 0.348128 + 0.162335i
\(909\) 2.66332 + 3.17402i 0.0883367 + 0.105276i
\(910\) 5.05522 + 42.2984i 0.167579 + 1.40218i
\(911\) 24.9135i 0.825422i 0.910862 + 0.412711i \(0.135418\pi\)
−0.910862 + 0.412711i \(0.864582\pi\)
\(912\) −3.90400 1.93875i −0.129274 0.0641985i
\(913\) −1.35122 + 1.35122i −0.0447188 + 0.0447188i
\(914\) −7.32317 41.5317i −0.242229 1.37375i
\(915\) 22.7122 17.0003i 0.750841 0.562013i
\(916\) 18.5048 6.73520i 0.611416 0.222537i
\(917\) 8.32301 + 17.8488i 0.274850 + 0.589418i
\(918\) −1.15831 + 0.101339i −0.0382300 + 0.00334469i
\(919\) 31.8281 + 18.3760i 1.04991 + 0.606167i 0.922625 0.385698i \(-0.126039\pi\)
0.127288 + 0.991866i \(0.459373\pi\)
\(920\) 16.3847 + 5.38217i 0.540187 + 0.177445i
\(921\) 3.52440 19.9879i 0.116133 0.658623i
\(922\) −5.99852 8.56678i −0.197551 0.282132i
\(923\) 42.2137 + 11.3111i 1.38948 + 0.372310i
\(924\) 0.528210 0.914886i 0.0173768 0.0300975i
\(925\) −1.26653 + 52.9808i −0.0416432 + 1.74200i
\(926\) 8.61024 23.6564i 0.282950 0.777399i
\(927\) 4.31438 9.25223i 0.141703 0.303883i
\(928\) −0.378387 + 4.32498i −0.0124212 + 0.141975i
\(929\) 3.72149 0.656198i 0.122098 0.0215292i −0.112265 0.993678i \(-0.535811\pi\)
0.234363 + 0.972149i \(0.424700\pi\)
\(930\) −1.12587 1.25854i −0.0369187 0.0412692i
\(931\) −35.0371 21.3945i −1.14830 0.701178i
\(932\) 7.86499 + 7.86499i 0.257626 + 0.257626i
\(933\) 2.28083 3.25737i 0.0746712 0.106641i
\(934\) 5.30202 4.44892i 0.173487 0.145573i
\(935\) 0.648878 0.196097i 0.0212206 0.00641305i
\(936\) 4.41817 + 1.60808i 0.144412 + 0.0525618i
\(937\) −2.57313 29.4110i −0.0840603 0.960814i −0.914735 0.404055i \(-0.867600\pi\)
0.830674 0.556759i \(-0.187955\pi\)
\(938\) 7.05948 + 26.3464i 0.230500 + 0.860239i
\(939\) 1.14753 + 1.98758i 0.0374482 + 0.0648622i
\(940\) −11.8505 2.77618i −0.386521 0.0905489i
\(941\) 1.32557 + 0.233734i 0.0432123 + 0.00761950i 0.195213 0.980761i \(-0.437460\pi\)
−0.152000 + 0.988380i \(0.548571\pi\)
\(942\) 4.40520 16.4404i 0.143529 0.535658i
\(943\) −59.6321 + 15.9784i −1.94189 + 0.520327i
\(944\) −11.7269 9.84003i −0.381678 0.320266i
\(945\) 8.41155 3.36698i 0.273628 0.109528i
\(946\) 0.634446 + 1.74312i 0.0206276 + 0.0566739i
\(947\) −41.9072 3.66640i −1.36180 0.119142i −0.617281 0.786743i \(-0.711766\pi\)
−0.744519 + 0.667601i \(0.767321\pi\)
\(948\) 9.36197 + 6.55532i 0.304063 + 0.212907i
\(949\) 23.7352 0.770476
\(950\) 13.1834 + 17.3551i 0.427726 + 0.563073i
\(951\) −1.33004 −0.0431294
\(952\) −3.85930 2.70231i −0.125081 0.0875824i
\(953\) −14.2542 1.24708i −0.461738 0.0403968i −0.146086 0.989272i \(-0.546668\pi\)
−0.315652 + 0.948875i \(0.602223\pi\)
\(954\) −2.87806 7.90741i −0.0931806 0.256012i
\(955\) 47.4626 18.9984i 1.53585 0.614773i
\(956\) −20.0030 16.7845i −0.646943 0.542850i
\(957\) −1.09335 + 0.292962i −0.0353429 + 0.00947011i
\(958\) −0.392938 + 1.46646i −0.0126953 + 0.0473793i
\(959\) 17.5876 + 3.10118i 0.567935 + 0.100142i
\(960\) 2.17712 + 0.510027i 0.0702664 + 0.0164611i
\(961\) −15.2148 26.3529i −0.490802 0.850093i
\(962\) 12.8981 + 48.1363i 0.415851 + 1.55198i
\(963\) −0.769996 8.80110i −0.0248128 0.283611i
\(964\) 3.40991 + 1.24111i 0.109826 + 0.0399733i
\(965\) −34.3827 + 10.3908i −1.10682 + 0.334491i
\(966\) 23.9398 20.0879i 0.770250 0.646316i
\(967\) 5.05994 7.22635i 0.162717 0.232384i −0.729511 0.683969i \(-0.760252\pi\)
0.892228 + 0.451585i \(0.149141\pi\)
\(968\) −7.73011 7.73011i −0.248455 0.248455i
\(969\) −4.96810 1.00258i −0.159598 0.0322076i
\(970\) 8.91686 + 9.96760i 0.286303 + 0.320041i
\(971\) −42.1000 + 7.42336i −1.35105 + 0.238227i −0.801881 0.597483i \(-0.796167\pi\)
−0.549171 + 0.835710i \(0.685056\pi\)
\(972\) 0.0871557 0.996195i 0.00279552 0.0319530i
\(973\) 14.4152 30.9135i 0.462131 0.991043i
\(974\) −3.32592 + 9.13789i −0.106569 + 0.292797i
\(975\) −16.2211 17.0156i −0.519489 0.544935i
\(976\) 6.34371 10.9876i 0.203057 0.351705i
\(977\) 43.1312 + 11.5570i 1.37989 + 0.369741i 0.871081 0.491139i \(-0.163419\pi\)
0.508809 + 0.860879i \(0.330086\pi\)
\(978\) −3.00958 4.29812i −0.0962357 0.137439i
\(979\) 0.140659 0.797715i 0.00449547 0.0254951i
\(980\) 20.0078 + 6.57231i 0.639125 + 0.209945i
\(981\) −8.35655 4.82465i −0.266804 0.154039i
\(982\) 7.45447 0.652181i 0.237882 0.0208119i
\(983\) −4.37715 9.38683i −0.139609 0.299393i 0.824055 0.566510i \(-0.191707\pi\)
−0.963664 + 0.267117i \(0.913929\pi\)
\(984\) −7.52173 + 2.73769i −0.239784 + 0.0872743i
\(985\) 19.3206 14.4617i 0.615606 0.460789i
\(986\) 0.876582 + 4.97134i 0.0279160 + 0.158320i
\(987\) −15.5956 + 15.5956i −0.496412 + 0.496412i
\(988\) 16.4938 + 12.1644i 0.524736 + 0.387000i
\(989\) 54.8747i 1.74492i
\(990\) 0.0691825 + 0.578868i 0.00219877 + 0.0183976i
\(991\) −8.93178 10.6445i −0.283727 0.338133i 0.605291 0.796004i \(-0.293057\pi\)
−0.889019 + 0.457871i \(0.848612\pi\)
\(992\) −0.684428 0.319154i −0.0217306 0.0101332i
\(993\) 10.1889 4.75118i 0.323336 0.150774i
\(994\) 24.2093 28.8516i 0.767873 0.915116i
\(995\) 44.8522 9.38260i 1.42191 0.297448i
\(996\) −6.34742 + 3.66468i −0.201126 + 0.116120i
\(997\) −11.4118 + 7.99066i −0.361417 + 0.253067i −0.740154 0.672438i \(-0.765247\pi\)
0.378737 + 0.925504i \(0.376358\pi\)
\(998\) −17.6298 + 12.3445i −0.558062 + 0.390759i
\(999\) 9.17917 5.29960i 0.290416 0.167672i
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 570.2.bh.b.67.5 120
5.3 odd 4 inner 570.2.bh.b.523.4 yes 120
19.2 odd 18 inner 570.2.bh.b.97.4 yes 120
95.78 even 36 inner 570.2.bh.b.553.5 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bh.b.67.5 120 1.1 even 1 trivial
570.2.bh.b.97.4 yes 120 19.2 odd 18 inner
570.2.bh.b.523.4 yes 120 5.3 odd 4 inner
570.2.bh.b.553.5 yes 120 95.78 even 36 inner