Properties

Label 558.2.bb.b.493.8
Level $558$
Weight $2$
Character 558.493
Analytic conductor $4.456$
Analytic rank $0$
Dimension $128$
Inner twists $2$

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Show commands: Magma / Pari/GP / SageMath

Newspace parameters

Copy content comment:Compute space of new eigenforms
 
Copy content gp:[N,k,chi] = [558,2,Mod(7,558)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(558, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([20, 28])) N = Newforms(chi, 2, names="a")
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("558.7"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Level: \( N \) \(=\) \( 558 = 2 \cdot 3^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 558.bb (of order \(15\), degree \(8\), minimal)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [128,16] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.45565243279\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 493.8
Character \(\chi\) \(=\) 558.493
Dual form 558.2.bb.b.103.8

$q$-expansion

Copy content comment:q-expansion
 
Copy content sage:f.q_expansion() # note that sage often uses an isomorphic number field
 
Copy content gp:mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(0.100069 - 1.72916i) q^{3} +(-0.978148 + 0.207912i) q^{4} +2.97916 q^{5} +(-1.73015 + 0.0812257i) q^{6} +(0.990529 - 3.04854i) q^{7} +(0.309017 + 0.951057i) q^{8} +(-2.97997 - 0.346069i) q^{9} +(-0.311407 - 2.96284i) q^{10} +(-3.53963 + 0.752371i) q^{11} +(0.261630 + 1.71218i) q^{12} +(1.13523 + 0.824795i) q^{13} +(-3.13537 - 0.666444i) q^{14} +(0.298121 - 5.15144i) q^{15} +(0.913545 - 0.406737i) q^{16} +(4.08183 - 4.53333i) q^{17} +(-0.0326812 + 2.99982i) q^{18} +(-0.408444 - 0.181851i) q^{19} +(-2.91406 + 0.619403i) q^{20} +(-5.17228 - 2.01784i) q^{21} +(1.11824 + 3.44159i) q^{22} +(2.57514 - 2.85998i) q^{23} +(1.67545 - 0.439168i) q^{24} +3.87541 q^{25} +(0.701612 - 1.21523i) q^{26} +(-0.896610 + 5.11821i) q^{27} +(-0.335058 + 3.18786i) q^{28} +(0.523378 + 4.97961i) q^{29} +(-5.15438 + 0.241985i) q^{30} +(-4.92770 - 2.59186i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(0.946763 + 6.19586i) q^{33} +(-4.93517 - 3.58561i) q^{34} +(2.95095 - 9.08208i) q^{35} +(2.98680 - 0.281065i) q^{36} +(0.215578 + 0.373392i) q^{37} +(-0.138161 + 0.425215i) q^{38} +(1.53980 - 1.88046i) q^{39} +(0.920612 + 2.83335i) q^{40} +(-3.81891 + 2.77460i) q^{41} +(-1.46614 + 5.35487i) q^{42} +(-7.26489 + 5.27825i) q^{43} +(3.30585 - 1.47186i) q^{44} +(-8.87782 - 1.03100i) q^{45} +(-3.11349 - 2.26208i) q^{46} +(9.67057 - 4.30562i) q^{47} +(-0.611895 - 1.62037i) q^{48} +(-2.64931 - 1.92483i) q^{49} +(-0.405091 - 3.85418i) q^{50} +(-7.43038 - 7.51178i) q^{51} +(-1.28191 - 0.570743i) q^{52} +(6.98081 + 1.48382i) q^{53} +(5.18389 + 0.356699i) q^{54} +(-10.5451 + 2.24144i) q^{55} +3.20542 q^{56} +(-0.355322 + 0.688067i) q^{57} +(4.89762 - 1.04102i) q^{58} +(-8.80227 + 3.91903i) q^{59} +(0.779439 + 5.10085i) q^{60} +(1.04198 - 1.80477i) q^{61} +(-2.06258 + 5.17163i) q^{62} +(-4.00675 + 8.74176i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(3.38204 + 2.45720i) q^{65} +(6.06296 - 1.58922i) q^{66} -12.0679 q^{67} +(-3.05010 + 5.28293i) q^{68} +(-4.68767 - 4.73901i) q^{69} +(-9.34079 - 1.98545i) q^{70} +(13.4957 + 2.86860i) q^{71} +(-0.591731 - 2.94106i) q^{72} +(6.34935 + 7.05167i) q^{73} +(0.348812 - 0.253427i) q^{74} +(0.387807 - 6.70119i) q^{75} +(0.437328 + 0.0929568i) q^{76} +(-1.21248 + 11.5359i) q^{77} +(-2.03111 - 1.33480i) q^{78} +(-2.28103 - 7.02029i) q^{79} +(2.72160 - 1.21173i) q^{80} +(8.76047 + 2.06255i) q^{81} +(3.15859 + 3.50797i) q^{82} +(7.31296 + 3.25594i) q^{83} +(5.47879 + 0.898373i) q^{84} +(12.1604 - 13.5055i) q^{85} +(6.00872 + 6.67337i) q^{86} +(8.66290 - 0.406700i) q^{87} +(-1.80935 - 3.13389i) q^{88} +(-1.63278 + 5.02519i) q^{89} +(-0.0973627 + 8.93696i) q^{90} +(3.63890 - 2.64381i) q^{91} +(-1.92424 + 3.33288i) q^{92} +(-4.97484 + 8.26141i) q^{93} +(-5.29288 - 9.16754i) q^{94} +(-1.21682 - 0.541764i) q^{95} +(-1.54753 + 0.777917i) q^{96} +(5.09565 + 5.65929i) q^{97} +(-1.63736 + 2.83599i) q^{98} +(10.8084 - 1.01709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128 q + 16 q^{2} + 2 q^{3} + 16 q^{4} - 2 q^{5} + 2 q^{6} + 2 q^{7} - 32 q^{8} - 4 q^{9} + 6 q^{10} + 2 q^{11} - 4 q^{12} - 20 q^{13} - q^{14} - 22 q^{15} + 16 q^{16} + 4 q^{17} - 2 q^{18} - 4 q^{19} + q^{20}+ \cdots + 15 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/558\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(497\)
\(\chi(n)\) \(e\left(\frac{8}{15}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) 0.100069 1.72916i 0.0577747 0.998330i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) 2.97916 1.33232 0.666161 0.745808i \(-0.267936\pi\)
0.666161 + 0.745808i \(0.267936\pi\)
\(6\) −1.73015 + 0.0812257i −0.706329 + 0.0331603i
\(7\) 0.990529 3.04854i 0.374385 1.15224i −0.569508 0.821986i \(-0.692866\pi\)
0.943893 0.330252i \(-0.107134\pi\)
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) −2.97997 0.346069i −0.993324 0.115356i
\(10\) −0.311407 2.96284i −0.0984756 0.936933i
\(11\) −3.53963 + 0.752371i −1.06724 + 0.226848i −0.707867 0.706346i \(-0.750342\pi\)
−0.359371 + 0.933195i \(0.617009\pi\)
\(12\) 0.261630 + 1.71218i 0.0755261 + 0.494263i
\(13\) 1.13523 + 0.824795i 0.314857 + 0.228757i 0.733978 0.679174i \(-0.237662\pi\)
−0.419121 + 0.907930i \(0.637662\pi\)
\(14\) −3.13537 0.666444i −0.837964 0.178115i
\(15\) 0.298121 5.15144i 0.0769745 1.33010i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) 4.08183 4.53333i 0.989990 1.09949i −0.00504720 0.999987i \(-0.501607\pi\)
0.995037 0.0995076i \(-0.0317268\pi\)
\(18\) −0.0326812 + 2.99982i −0.00770304 + 0.707065i
\(19\) −0.408444 0.181851i −0.0937035 0.0417195i 0.359350 0.933203i \(-0.382999\pi\)
−0.453053 + 0.891484i \(0.649665\pi\)
\(20\) −2.91406 + 0.619403i −0.651604 + 0.138503i
\(21\) −5.17228 2.01784i −1.12868 0.440330i
\(22\) 1.11824 + 3.44159i 0.238410 + 0.733750i
\(23\) 2.57514 2.85998i 0.536953 0.596347i −0.412226 0.911081i \(-0.635249\pi\)
0.949180 + 0.314734i \(0.101915\pi\)
\(24\) 1.67545 0.439168i 0.342000 0.0896448i
\(25\) 3.87541 0.775082
\(26\) 0.701612 1.21523i 0.137597 0.238326i
\(27\) −0.896610 + 5.11821i −0.172553 + 0.985000i
\(28\) −0.335058 + 3.18786i −0.0633200 + 0.602449i
\(29\) 0.523378 + 4.97961i 0.0971889 + 0.924690i 0.929112 + 0.369799i \(0.120573\pi\)
−0.831923 + 0.554891i \(0.812760\pi\)
\(30\) −5.15438 + 0.241985i −0.941057 + 0.0441801i
\(31\) −4.92770 2.59186i −0.885042 0.465512i
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 0.946763 + 6.19586i 0.164810 + 1.07856i
\(34\) −4.93517 3.58561i −0.846374 0.614927i
\(35\) 2.95095 9.08208i 0.498801 1.53515i
\(36\) 2.98680 0.281065i 0.497801 0.0468441i
\(37\) 0.215578 + 0.373392i 0.0354408 + 0.0613852i 0.883202 0.468993i \(-0.155383\pi\)
−0.847761 + 0.530378i \(0.822050\pi\)
\(38\) −0.138161 + 0.425215i −0.0224126 + 0.0689790i
\(39\) 1.53980 1.88046i 0.246566 0.301115i
\(40\) 0.920612 + 2.83335i 0.145562 + 0.447992i
\(41\) −3.81891 + 2.77460i −0.596414 + 0.433320i −0.844604 0.535391i \(-0.820164\pi\)
0.248190 + 0.968711i \(0.420164\pi\)
\(42\) −1.46614 + 5.35487i −0.226230 + 0.826274i
\(43\) −7.26489 + 5.27825i −1.10789 + 0.804926i −0.982329 0.187161i \(-0.940072\pi\)
−0.125556 + 0.992087i \(0.540072\pi\)
\(44\) 3.30585 1.47186i 0.498376 0.221891i
\(45\) −8.87782 1.03100i −1.32343 0.153692i
\(46\) −3.11349 2.26208i −0.459059 0.333526i
\(47\) 9.67057 4.30562i 1.41060 0.628039i 0.446791 0.894639i \(-0.352567\pi\)
0.963807 + 0.266600i \(0.0859002\pi\)
\(48\) −0.611895 1.62037i −0.0883194 0.233880i
\(49\) −2.64931 1.92483i −0.378472 0.274976i
\(50\) −0.405091 3.85418i −0.0572885 0.545063i
\(51\) −7.43038 7.51178i −1.04046 1.05186i
\(52\) −1.28191 0.570743i −0.177769 0.0791478i
\(53\) 6.98081 + 1.48382i 0.958889 + 0.203818i 0.660667 0.750679i \(-0.270273\pi\)
0.298221 + 0.954497i \(0.403607\pi\)
\(54\) 5.18389 + 0.356699i 0.705439 + 0.0485406i
\(55\) −10.5451 + 2.24144i −1.42190 + 0.302235i
\(56\) 3.20542 0.428342
\(57\) −0.355322 + 0.688067i −0.0470635 + 0.0911367i
\(58\) 4.89762 1.04102i 0.643089 0.136693i
\(59\) −8.80227 + 3.91903i −1.14596 + 0.510214i −0.889768 0.456413i \(-0.849134\pi\)
−0.256190 + 0.966626i \(0.582467\pi\)
\(60\) 0.779439 + 5.10085i 0.100625 + 0.658517i
\(61\) 1.04198 1.80477i 0.133412 0.231077i −0.791577 0.611069i \(-0.790740\pi\)
0.924990 + 0.379992i \(0.124073\pi\)
\(62\) −2.06258 + 5.17163i −0.261947 + 0.656798i
\(63\) −4.00675 + 8.74176i −0.504804 + 1.10136i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 3.38204 + 2.45720i 0.419491 + 0.304778i
\(66\) 6.06296 1.58922i 0.746299 0.195619i
\(67\) −12.0679 −1.47433 −0.737165 0.675713i \(-0.763836\pi\)
−0.737165 + 0.675713i \(0.763836\pi\)
\(68\) −3.05010 + 5.28293i −0.369879 + 0.640649i
\(69\) −4.68767 4.73901i −0.564329 0.570510i
\(70\) −9.34079 1.98545i −1.11644 0.237306i
\(71\) 13.4957 + 2.86860i 1.60165 + 0.340440i 0.920206 0.391434i \(-0.128021\pi\)
0.681440 + 0.731874i \(0.261354\pi\)
\(72\) −0.591731 2.94106i −0.0697362 0.346608i
\(73\) 6.34935 + 7.05167i 0.743135 + 0.825335i 0.989605 0.143815i \(-0.0459372\pi\)
−0.246469 + 0.969151i \(0.579271\pi\)
\(74\) 0.348812 0.253427i 0.0405486 0.0294603i
\(75\) 0.387807 6.70119i 0.0447801 0.773787i
\(76\) 0.437328 + 0.0929568i 0.0501649 + 0.0106629i
\(77\) −1.21248 + 11.5359i −0.138174 + 1.31464i
\(78\) −2.03111 1.33480i −0.229978 0.151137i
\(79\) −2.28103 7.02029i −0.256636 0.789844i −0.993503 0.113806i \(-0.963696\pi\)
0.736867 0.676038i \(-0.236304\pi\)
\(80\) 2.72160 1.21173i 0.304284 0.135476i
\(81\) 8.76047 + 2.06255i 0.973386 + 0.229172i
\(82\) 3.15859 + 3.50797i 0.348808 + 0.387390i
\(83\) 7.31296 + 3.25594i 0.802702 + 0.357386i 0.766732 0.641967i \(-0.221881\pi\)
0.0359696 + 0.999353i \(0.488548\pi\)
\(84\) 5.47879 + 0.898373i 0.597785 + 0.0980205i
\(85\) 12.1604 13.5055i 1.31898 1.46488i
\(86\) 6.00872 + 6.67337i 0.647937 + 0.719607i
\(87\) 8.66290 0.406700i 0.928761 0.0436029i
\(88\) −1.80935 3.13389i −0.192878 0.334074i
\(89\) −1.63278 + 5.02519i −0.173075 + 0.532669i −0.999540 0.0303182i \(-0.990348\pi\)
0.826466 + 0.562987i \(0.190348\pi\)
\(90\) −0.0973627 + 8.93696i −0.0102629 + 0.942038i
\(91\) 3.63890 2.64381i 0.381460 0.277147i
\(92\) −1.92424 + 3.33288i −0.200616 + 0.347477i
\(93\) −4.97484 + 8.26141i −0.515867 + 0.856669i
\(94\) −5.29288 9.16754i −0.545919 0.945559i
\(95\) −1.21682 0.541764i −0.124843 0.0555838i
\(96\) −1.54753 + 0.777917i −0.157944 + 0.0793958i
\(97\) 5.09565 + 5.65929i 0.517385 + 0.574614i 0.944053 0.329794i \(-0.106979\pi\)
−0.426668 + 0.904408i \(0.640313\pi\)
\(98\) −1.63736 + 2.83599i −0.165398 + 0.286478i
\(99\) 10.8084 1.01709i 1.08628 0.102221i
\(100\) −3.79072 + 0.805743i −0.379072 + 0.0805743i
\(101\) 6.94458 + 1.47612i 0.691012 + 0.146879i 0.540015 0.841655i \(-0.318418\pi\)
0.150996 + 0.988534i \(0.451752\pi\)
\(102\) −6.69394 + 8.17487i −0.662799 + 0.809433i
\(103\) 9.06126 6.58339i 0.892833 0.648681i −0.0437822 0.999041i \(-0.513941\pi\)
0.936615 + 0.350360i \(0.113941\pi\)
\(104\) −0.433620 + 1.33455i −0.0425200 + 0.130863i
\(105\) −15.4091 6.01149i −1.50377 0.586661i
\(106\) 0.745996 7.09767i 0.0724575 0.689387i
\(107\) 13.2479 14.7132i 1.28072 1.42238i 0.424789 0.905292i \(-0.360348\pi\)
0.855930 0.517091i \(-0.172985\pi\)
\(108\) −0.187119 5.19278i −0.0180056 0.499676i
\(109\) −3.43550 2.49604i −0.329061 0.239077i 0.410971 0.911648i \(-0.365190\pi\)
−0.740032 + 0.672571i \(0.765190\pi\)
\(110\) 3.33142 + 10.2531i 0.317639 + 0.977592i
\(111\) 0.667225 0.335403i 0.0633302 0.0318350i
\(112\) −0.335058 3.18786i −0.0316600 0.301225i
\(113\) 5.02836 15.4757i 0.473028 1.45583i −0.375570 0.926794i \(-0.622553\pi\)
0.848599 0.529037i \(-0.177447\pi\)
\(114\) 0.721439 + 0.281453i 0.0675689 + 0.0263604i
\(115\) 7.67175 8.52035i 0.715395 0.794526i
\(116\) −1.54726 4.76198i −0.143660 0.442138i
\(117\) −3.09753 2.85073i −0.286366 0.263550i
\(118\) 4.81764 + 8.34441i 0.443500 + 0.768165i
\(119\) −9.77686 16.9340i −0.896243 1.55234i
\(120\) 4.99144 1.30835i 0.455654 0.119436i
\(121\) 1.91391 0.852126i 0.173991 0.0774660i
\(122\) −1.90380 0.847626i −0.172362 0.0767405i
\(123\) 4.41557 + 6.88115i 0.398139 + 0.620452i
\(124\) 5.35890 + 1.51069i 0.481243 + 0.135664i
\(125\) −3.35034 −0.299663
\(126\) 9.11269 + 3.07104i 0.811823 + 0.273590i
\(127\) 0.644566 6.13264i 0.0571960 0.544183i −0.927979 0.372632i \(-0.878455\pi\)
0.985175 0.171551i \(-0.0548780\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) 8.39994 + 13.0903i 0.739574 + 1.15254i
\(130\) 2.09022 3.62036i 0.183324 0.317527i
\(131\) 12.5426 + 13.9300i 1.09586 + 1.21707i 0.974483 + 0.224463i \(0.0720629\pi\)
0.121372 + 0.992607i \(0.461270\pi\)
\(132\) −2.21427 5.86363i −0.192727 0.510363i
\(133\) −0.958955 + 1.06503i −0.0831520 + 0.0923496i
\(134\) 1.26144 + 12.0018i 0.108972 + 1.03680i
\(135\) −2.67115 + 15.2480i −0.229896 + 1.31234i
\(136\) 5.57281 + 2.48118i 0.477865 + 0.212759i
\(137\) −1.89593 + 18.0385i −0.161980 + 1.54114i 0.547738 + 0.836650i \(0.315489\pi\)
−0.709718 + 0.704486i \(0.751178\pi\)
\(138\) −4.22306 + 5.15735i −0.359491 + 0.439023i
\(139\) −1.34693 + 12.8152i −0.114245 + 1.08697i 0.775763 + 0.631025i \(0.217365\pi\)
−0.890008 + 0.455945i \(0.849301\pi\)
\(140\) −0.998191 + 9.49716i −0.0843626 + 0.802656i
\(141\) −6.47737 17.1528i −0.545493 1.44453i
\(142\) 1.44220 13.7216i 0.121027 1.15149i
\(143\) −4.63885 2.06535i −0.387920 0.172713i
\(144\) −2.86310 + 0.895914i −0.238592 + 0.0746595i
\(145\) 1.55923 + 14.8351i 0.129487 + 1.23199i
\(146\) 6.34935 7.05167i 0.525476 0.583600i
\(147\) −3.59345 + 4.38845i −0.296383 + 0.361953i
\(148\) −0.288499 0.320411i −0.0237145 0.0263376i
\(149\) 10.1796 17.6316i 0.833944 1.44443i −0.0609424 0.998141i \(-0.519411\pi\)
0.894887 0.446293i \(-0.147256\pi\)
\(150\) −6.70502 + 0.314783i −0.547463 + 0.0257019i
\(151\) 1.44955 + 1.60989i 0.117963 + 0.131011i 0.799234 0.601021i \(-0.205239\pi\)
−0.681271 + 0.732031i \(0.738572\pi\)
\(152\) 0.0467344 0.444648i 0.00379066 0.0360658i
\(153\) −13.7326 + 12.0966i −1.11021 + 0.977953i
\(154\) 11.5995 0.934712
\(155\) −14.6804 7.72157i −1.17916 0.620211i
\(156\) −1.11518 + 2.15951i −0.0892861 + 0.172899i
\(157\) 0.318467 + 0.141791i 0.0254164 + 0.0113161i 0.419405 0.907799i \(-0.362239\pi\)
−0.393989 + 0.919115i \(0.628905\pi\)
\(158\) −6.74340 + 3.00235i −0.536476 + 0.238855i
\(159\) 3.26432 11.9224i 0.258877 0.945511i
\(160\) −1.48958 2.58003i −0.117762 0.203969i
\(161\) −6.16800 10.6833i −0.486107 0.841962i
\(162\) 1.13553 8.92808i 0.0892160 0.701456i
\(163\) 5.05743 + 15.5652i 0.396128 + 1.21916i 0.928079 + 0.372382i \(0.121459\pi\)
−0.531951 + 0.846775i \(0.678541\pi\)
\(164\) 3.15859 3.50797i 0.246644 0.273926i
\(165\) 2.82056 + 18.4585i 0.219580 + 1.43699i
\(166\) 2.47369 7.61324i 0.191996 0.590902i
\(167\) −0.474222 4.51192i −0.0366964 0.349143i −0.997429 0.0716661i \(-0.977168\pi\)
0.960732 0.277477i \(-0.0894983\pi\)
\(168\) 0.320762 5.54268i 0.0247473 0.427627i
\(169\) −3.40875 10.4911i −0.262212 0.807005i
\(170\) −14.7027 10.6821i −1.12764 0.819280i
\(171\) 1.15422 + 0.683261i 0.0882653 + 0.0522503i
\(172\) 6.00872 6.67337i 0.458161 0.508839i
\(173\) 0.310347 2.95275i 0.0235952 0.224493i −0.976370 0.216107i \(-0.930664\pi\)
0.999965 0.00838614i \(-0.00266942\pi\)
\(174\) −1.30999 8.57294i −0.0993103 0.649913i
\(175\) 3.83871 11.8143i 0.290179 0.893079i
\(176\) −2.92759 + 2.12702i −0.220676 + 0.160330i
\(177\) 5.89578 + 15.6127i 0.443154 + 1.17352i
\(178\) 5.16833 + 1.09856i 0.387383 + 0.0823408i
\(179\) −5.05100 + 1.07362i −0.377529 + 0.0802464i −0.392768 0.919638i \(-0.628483\pi\)
0.0152387 + 0.999884i \(0.495149\pi\)
\(180\) 8.89818 0.837337i 0.663231 0.0624114i
\(181\) −6.59657 + 11.4256i −0.490319 + 0.849257i −0.999938 0.0111428i \(-0.996453\pi\)
0.509619 + 0.860400i \(0.329786\pi\)
\(182\) −3.00970 3.34261i −0.223094 0.247771i
\(183\) −3.01646 1.98236i −0.222983 0.146540i
\(184\) 3.51576 + 1.56532i 0.259186 + 0.115397i
\(185\) 0.642241 + 1.11239i 0.0472185 + 0.0817848i
\(186\) 8.73617 + 4.08404i 0.640567 + 0.299456i
\(187\) −11.0374 + 19.1174i −0.807136 + 1.39800i
\(188\) −8.56406 + 6.22215i −0.624598 + 0.453797i
\(189\) 14.7149 + 7.80309i 1.07035 + 0.567591i
\(190\) −0.411603 + 1.26679i −0.0298609 + 0.0919023i
\(191\) 2.81163 + 4.86989i 0.203443 + 0.352373i 0.949635 0.313357i \(-0.101454\pi\)
−0.746193 + 0.665730i \(0.768120\pi\)
\(192\) 0.935416 + 1.45774i 0.0675078 + 0.105203i
\(193\) −6.99525 7.76901i −0.503529 0.559226i 0.436771 0.899573i \(-0.356122\pi\)
−0.940300 + 0.340347i \(0.889455\pi\)
\(194\) 5.09565 5.65929i 0.365846 0.406314i
\(195\) 4.58732 5.60220i 0.328505 0.401182i
\(196\) 2.99161 + 1.33195i 0.213686 + 0.0951392i
\(197\) 7.49425 + 8.32320i 0.533943 + 0.593004i 0.948404 0.317063i \(-0.102697\pi\)
−0.414462 + 0.910067i \(0.636030\pi\)
\(198\) −2.14130 10.6428i −0.152176 0.756354i
\(199\) −17.1061 + 7.61612i −1.21262 + 0.539892i −0.910552 0.413395i \(-0.864343\pi\)
−0.302066 + 0.953287i \(0.597676\pi\)
\(200\) 1.19757 + 3.68573i 0.0846808 + 0.260621i
\(201\) −1.20762 + 20.8673i −0.0851789 + 1.47187i
\(202\) 0.742124 7.06083i 0.0522156 0.496799i
\(203\) 15.6989 + 3.33691i 1.10185 + 0.234205i
\(204\) 8.82980 + 5.80276i 0.618210 + 0.406275i
\(205\) −11.3772 + 8.26599i −0.794615 + 0.577322i
\(206\) −7.49449 8.32347i −0.522166 0.579924i
\(207\) −8.66359 + 7.63149i −0.602161 + 0.530425i
\(208\) 1.37256 + 0.291747i 0.0951700 + 0.0202290i
\(209\) 1.58256 + 0.336383i 0.109468 + 0.0232681i
\(210\) −4.36787 + 15.9530i −0.301412 + 1.10086i
\(211\) 8.51303 14.7450i 0.586061 1.01509i −0.408681 0.912677i \(-0.634011\pi\)
0.994742 0.102410i \(-0.0326554\pi\)
\(212\) −7.13677 −0.490155
\(213\) 6.31076 23.0492i 0.432406 1.57930i
\(214\) −16.0174 11.6373i −1.09493 0.795512i
\(215\) −21.6433 + 15.7248i −1.47606 + 1.07242i
\(216\) −5.14478 + 0.728888i −0.350058 + 0.0495945i
\(217\) −12.7824 + 12.4550i −0.867727 + 0.845499i
\(218\) −2.12326 + 3.67759i −0.143805 + 0.249078i
\(219\) 12.8288 10.2734i 0.866891 0.694210i
\(220\) 9.84867 4.38491i 0.663997 0.295631i
\(221\) 8.37290 1.77971i 0.563222 0.119717i
\(222\) −0.403310 0.628511i −0.0270684 0.0421829i
\(223\) 7.82055 0.523703 0.261851 0.965108i \(-0.415667\pi\)
0.261851 + 0.965108i \(0.415667\pi\)
\(224\) −3.13537 + 0.666444i −0.209491 + 0.0445287i
\(225\) −11.5486 1.34116i −0.769907 0.0894106i
\(226\) −15.9165 3.38316i −1.05875 0.225045i
\(227\) −18.5709 8.26830i −1.23259 0.548786i −0.316058 0.948740i \(-0.602360\pi\)
−0.916535 + 0.399954i \(0.869026\pi\)
\(228\) 0.204500 0.746906i 0.0135433 0.0494651i
\(229\) 1.97823 + 18.8216i 0.130725 + 1.24377i 0.841464 + 0.540313i \(0.181694\pi\)
−0.710739 + 0.703456i \(0.751639\pi\)
\(230\) −9.27559 6.73911i −0.611614 0.444364i
\(231\) 19.8261 + 3.25095i 1.30446 + 0.213897i
\(232\) −4.57416 + 2.03655i −0.300308 + 0.133706i
\(233\) −0.523339 0.380228i −0.0342851 0.0249096i 0.570511 0.821290i \(-0.306745\pi\)
−0.604796 + 0.796381i \(0.706745\pi\)
\(234\) −2.51134 + 3.37854i −0.164171 + 0.220862i
\(235\) 28.8102 12.8271i 1.87937 0.836750i
\(236\) 7.79511 5.66348i 0.507419 0.368661i
\(237\) −12.3674 + 3.24175i −0.803352 + 0.210574i
\(238\) −15.8193 + 11.4934i −1.02541 + 0.745005i
\(239\) 2.70878 + 8.33676i 0.175216 + 0.539260i 0.999643 0.0267080i \(-0.00850243\pi\)
−0.824427 + 0.565968i \(0.808502\pi\)
\(240\) −1.82293 4.82733i −0.117670 0.311603i
\(241\) −4.48000 + 13.7880i −0.288582 + 0.888165i 0.696720 + 0.717344i \(0.254642\pi\)
−0.985302 + 0.170822i \(0.945358\pi\)
\(242\) −1.04752 1.81435i −0.0673369 0.116631i
\(243\) 4.44313 14.9418i 0.285027 0.958520i
\(244\) −0.643982 + 1.98197i −0.0412267 + 0.126883i
\(245\) −7.89271 5.73439i −0.504247 0.366357i
\(246\) 6.38190 5.11066i 0.406895 0.325844i
\(247\) −0.313689 0.543326i −0.0199596 0.0345710i
\(248\) 0.942260 5.48745i 0.0598336 0.348454i
\(249\) 6.36183 12.3194i 0.403165 0.780713i
\(250\) 0.350206 + 3.33199i 0.0221490 + 0.210733i
\(251\) −0.659584 + 6.27552i −0.0416325 + 0.396107i 0.953785 + 0.300488i \(0.0971497\pi\)
−0.995418 + 0.0956188i \(0.969517\pi\)
\(252\) 2.10168 9.38379i 0.132394 0.591123i
\(253\) −6.96326 + 12.0607i −0.437777 + 0.758251i
\(254\) −6.16642 −0.386915
\(255\) −22.1363 22.3788i −1.38623 1.40141i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) −2.89555 8.91158i −0.180619 0.555889i 0.819226 0.573470i \(-0.194403\pi\)
−0.999845 + 0.0175817i \(0.994403\pi\)
\(258\) 12.1406 9.72224i 0.755840 0.605280i
\(259\) 1.35183 0.287341i 0.0839989 0.0178545i
\(260\) −3.81902 1.70034i −0.236845 0.105450i
\(261\) 0.163636 15.0202i 0.0101288 0.929729i
\(262\) 12.5426 13.9300i 0.774887 0.860599i
\(263\) −17.4725 + 7.77926i −1.07740 + 0.479690i −0.867196 0.497967i \(-0.834080\pi\)
−0.210205 + 0.977657i \(0.567413\pi\)
\(264\) −5.60005 + 2.81505i −0.344659 + 0.173254i
\(265\) 20.7970 + 4.42053i 1.27755 + 0.271551i
\(266\) 1.15943 + 0.842376i 0.0710893 + 0.0516494i
\(267\) 8.52595 + 3.32620i 0.521780 + 0.203560i
\(268\) 11.8042 2.50906i 0.721056 0.153265i
\(269\) −0.758379 7.21550i −0.0462392 0.439937i −0.993010 0.118029i \(-0.962343\pi\)
0.946771 0.321908i \(-0.104324\pi\)
\(270\) 15.4437 + 1.06266i 0.939872 + 0.0646717i
\(271\) 4.32586 + 13.3136i 0.262777 + 0.808745i 0.992197 + 0.124679i \(0.0397900\pi\)
−0.729420 + 0.684066i \(0.760210\pi\)
\(272\) 1.88507 5.80164i 0.114299 0.351776i
\(273\) −4.20743 6.55679i −0.254645 0.396835i
\(274\) 18.1379 1.09575
\(275\) −13.7175 + 2.91575i −0.827197 + 0.175826i
\(276\) 5.57053 + 3.66083i 0.335306 + 0.220356i
\(277\) −2.24374 21.3478i −0.134813 1.28266i −0.827517 0.561441i \(-0.810247\pi\)
0.692703 0.721223i \(-0.256420\pi\)
\(278\) 12.8858 0.772838
\(279\) 13.7875 + 9.42899i 0.825434 + 0.564499i
\(280\) 9.54947 0.570690
\(281\) 2.07970 + 19.7871i 0.124065 + 1.18040i 0.862494 + 0.506066i \(0.168901\pi\)
−0.738430 + 0.674330i \(0.764432\pi\)
\(282\) −16.3818 + 8.23484i −0.975520 + 0.490378i
\(283\) −6.47250 + 1.37577i −0.384750 + 0.0817812i −0.396226 0.918153i \(-0.629680\pi\)
0.0114759 + 0.999934i \(0.496347\pi\)
\(284\) −13.7972 −0.818714
\(285\) −1.05856 + 2.04986i −0.0627037 + 0.121423i
\(286\) −1.56914 + 4.82933i −0.0927854 + 0.285564i
\(287\) 4.67573 + 14.3904i 0.276000 + 0.849439i
\(288\) 1.19028 + 2.75377i 0.0701380 + 0.162267i
\(289\) −2.11278 20.1017i −0.124281 1.18246i
\(290\) 14.5908 3.10137i 0.856802 0.182119i
\(291\) 10.2957 8.24487i 0.603546 0.483323i
\(292\) −7.67672 5.57747i −0.449246 0.326397i
\(293\) −31.6184 6.72070i −1.84717 0.392627i −0.855113 0.518442i \(-0.826512\pi\)
−0.992054 + 0.125815i \(0.959846\pi\)
\(294\) 4.74003 + 3.11505i 0.276444 + 0.181673i
\(295\) −26.2234 + 11.6754i −1.52679 + 0.679769i
\(296\) −0.288499 + 0.320411i −0.0167687 + 0.0186235i
\(297\) −0.677130 18.7912i −0.0392911 1.09037i
\(298\) −18.5990 8.28082i −1.07741 0.479695i
\(299\) 5.28228 1.12278i 0.305482 0.0649322i
\(300\) 1.01392 + 6.63539i 0.0585389 + 0.383094i
\(301\) 8.89485 + 27.3755i 0.512691 + 1.57790i
\(302\) 1.44955 1.60989i 0.0834123 0.0926387i
\(303\) 3.24737 11.8606i 0.186557 0.681372i
\(304\) −0.447098 −0.0256428
\(305\) 3.10424 5.37670i 0.177748 0.307869i
\(306\) 13.4658 + 12.3929i 0.769788 + 0.708456i
\(307\) 1.61499 15.3656i 0.0921726 0.876963i −0.846555 0.532302i \(-0.821327\pi\)
0.938727 0.344661i \(-0.112006\pi\)
\(308\) −1.21248 11.5359i −0.0690872 0.657321i
\(309\) −10.4770 16.3271i −0.596014 0.928819i
\(310\) −6.14475 + 15.4071i −0.348998 + 0.875066i
\(311\) 8.83409 + 15.3011i 0.500935 + 0.867645i 0.999999 + 0.00108025i \(0.000343854\pi\)
−0.499064 + 0.866565i \(0.666323\pi\)
\(312\) 2.26425 + 0.883344i 0.128188 + 0.0500095i
\(313\) −7.78057 5.65291i −0.439784 0.319521i 0.345765 0.938321i \(-0.387619\pi\)
−0.785549 + 0.618800i \(0.787619\pi\)
\(314\) 0.107725 0.331543i 0.00607927 0.0187101i
\(315\) −11.9368 + 26.0431i −0.672561 + 1.46736i
\(316\) 3.69078 + 6.39263i 0.207623 + 0.359613i
\(317\) −2.62665 + 8.08398i −0.147527 + 0.454042i −0.997327 0.0730631i \(-0.976723\pi\)
0.849800 + 0.527105i \(0.176723\pi\)
\(318\) −12.1983 2.00020i −0.684049 0.112166i
\(319\) −5.59908 17.2322i −0.313488 0.964818i
\(320\) −2.41019 + 1.75111i −0.134734 + 0.0978899i
\(321\) −24.1158 24.3800i −1.34601 1.36076i
\(322\) −9.98004 + 7.25092i −0.556166 + 0.404078i
\(323\) −2.49159 + 1.10933i −0.138636 + 0.0617247i
\(324\) −8.99786 0.196076i −0.499881 0.0108931i
\(325\) 4.39949 + 3.19642i 0.244040 + 0.177305i
\(326\) 14.9512 6.65672i 0.828073 0.368682i
\(327\) −4.65983 + 5.69075i −0.257689 + 0.314699i
\(328\) −3.81891 2.77460i −0.210864 0.153202i
\(329\) −3.54684 33.7459i −0.195544 1.86047i
\(330\) 18.0625 4.73455i 0.994310 0.260628i
\(331\) −2.58578 1.15127i −0.142128 0.0632793i 0.334440 0.942417i \(-0.391453\pi\)
−0.476568 + 0.879138i \(0.658119\pi\)
\(332\) −7.83010 1.66434i −0.429733 0.0913425i
\(333\) −0.513196 1.18730i −0.0281230 0.0650637i
\(334\) −4.43764 + 0.943249i −0.242817 + 0.0516123i
\(335\) −35.9523 −1.96428
\(336\) −5.54584 + 0.260363i −0.302551 + 0.0142039i
\(337\) −15.9741 + 3.39540i −0.870165 + 0.184959i −0.621294 0.783577i \(-0.713393\pi\)
−0.248871 + 0.968537i \(0.580059\pi\)
\(338\) −10.0773 + 4.48670i −0.548132 + 0.244044i
\(339\) −26.2567 10.2435i −1.42607 0.556348i
\(340\) −9.08675 + 15.7387i −0.492798 + 0.853551i
\(341\) 19.3923 + 5.46675i 1.05015 + 0.296041i
\(342\) 0.558869 1.21932i 0.0302202 0.0659331i
\(343\) 9.66054 7.01879i 0.521620 0.378979i
\(344\) −7.26489 5.27825i −0.391697 0.284584i
\(345\) −13.9653 14.1183i −0.751868 0.760103i
\(346\) −2.96901 −0.159615
\(347\) −5.22676 + 9.05301i −0.280587 + 0.485991i −0.971529 0.236919i \(-0.923863\pi\)
0.690942 + 0.722910i \(0.257196\pi\)
\(348\) −8.38904 + 2.19893i −0.449700 + 0.117875i
\(349\) −1.50275 0.319419i −0.0804403 0.0170981i 0.167516 0.985869i \(-0.446426\pi\)
−0.247956 + 0.968771i \(0.579759\pi\)
\(350\) −12.1509 2.58274i −0.649491 0.138054i
\(351\) −5.23933 + 5.07084i −0.279655 + 0.270662i
\(352\) 2.42139 + 2.68922i 0.129060 + 0.143336i
\(353\) −13.7310 + 9.97618i −0.730829 + 0.530978i −0.889826 0.456301i \(-0.849174\pi\)
0.158997 + 0.987279i \(0.449174\pi\)
\(354\) 14.9109 7.49545i 0.792505 0.398379i
\(355\) 40.2059 + 8.54603i 2.13391 + 0.453576i
\(356\) 0.552307 5.25485i 0.0292722 0.278507i
\(357\) −30.2599 + 15.2112i −1.60153 + 0.805060i
\(358\) 1.59571 + 4.91111i 0.0843361 + 0.259560i
\(359\) 18.7555 8.35049i 0.989878 0.440722i 0.153068 0.988216i \(-0.451085\pi\)
0.836810 + 0.547493i \(0.184418\pi\)
\(360\) −1.76286 8.76191i −0.0929110 0.461793i
\(361\) −12.5797 13.9712i −0.662091 0.735326i
\(362\) 12.0525 + 5.36613i 0.633467 + 0.282038i
\(363\) −1.28194 3.39472i −0.0672843 0.178176i
\(364\) −3.00970 + 3.34261i −0.157751 + 0.175200i
\(365\) 18.9157 + 21.0081i 0.990095 + 1.09961i
\(366\) −1.65619 + 3.20715i −0.0865704 + 0.167640i
\(367\) −8.15694 14.1282i −0.425789 0.737487i 0.570705 0.821155i \(-0.306670\pi\)
−0.996494 + 0.0836677i \(0.973337\pi\)
\(368\) 1.18925 3.66013i 0.0619938 0.190797i
\(369\) 12.3405 6.94663i 0.642418 0.361627i
\(370\) 1.03917 0.755000i 0.0540238 0.0392506i
\(371\) 11.4382 19.8115i 0.593840 1.02856i
\(372\) 3.14848 9.11521i 0.163241 0.472602i
\(373\) 13.9938 + 24.2380i 0.724573 + 1.25500i 0.959150 + 0.282899i \(0.0912962\pi\)
−0.234577 + 0.972098i \(0.575370\pi\)
\(374\) 20.1664 + 8.97864i 1.04278 + 0.464275i
\(375\) −0.335264 + 5.79327i −0.0173130 + 0.299163i
\(376\) 7.08326 + 7.86675i 0.365291 + 0.405697i
\(377\) −3.51300 + 6.08469i −0.180929 + 0.313378i
\(378\) 6.22221 15.4500i 0.320036 0.794661i
\(379\) −30.5785 + 6.49966i −1.57071 + 0.333865i −0.909294 0.416153i \(-0.863378\pi\)
−0.661417 + 0.750018i \(0.730045\pi\)
\(380\) 1.30287 + 0.276934i 0.0668358 + 0.0142064i
\(381\) −10.5398 1.72824i −0.539970 0.0885405i
\(382\) 4.54932 3.30527i 0.232763 0.169113i
\(383\) 1.85880 5.72080i 0.0949803 0.292319i −0.892268 0.451506i \(-0.850887\pi\)
0.987249 + 0.159186i \(0.0508871\pi\)
\(384\) 1.35197 1.08267i 0.0689926 0.0552496i
\(385\) −3.61216 + 34.3674i −0.184093 + 1.75153i
\(386\) −6.99525 + 7.76901i −0.356049 + 0.395432i
\(387\) 23.4758 13.2149i 1.19334 0.671751i
\(388\) −6.16093 4.47618i −0.312774 0.227244i
\(389\) 5.29123 + 16.2847i 0.268276 + 0.825669i 0.990921 + 0.134449i \(0.0429264\pi\)
−0.722644 + 0.691220i \(0.757074\pi\)
\(390\) −6.05101 3.97660i −0.306405 0.201363i
\(391\) −2.45396 23.3479i −0.124102 1.18075i
\(392\) 1.01194 3.11445i 0.0511109 0.157303i
\(393\) 25.3423 20.2942i 1.27835 1.02371i
\(394\) 7.49425 8.32320i 0.377555 0.419317i
\(395\) −6.79556 20.9146i −0.341922 1.05233i
\(396\) −10.3607 + 3.24205i −0.520645 + 0.162919i
\(397\) −1.46679 2.54055i −0.0736160 0.127507i 0.826868 0.562397i \(-0.190121\pi\)
−0.900484 + 0.434890i \(0.856787\pi\)
\(398\) 9.36247 + 16.2163i 0.469298 + 0.812848i
\(399\) 1.74564 + 1.76476i 0.0873913 + 0.0883485i
\(400\) 3.54036 1.57627i 0.177018 0.0788135i
\(401\) −19.4271 8.64950i −0.970143 0.431935i −0.140408 0.990094i \(-0.544841\pi\)
−0.829734 + 0.558158i \(0.811508\pi\)
\(402\) 20.8792 0.980224i 1.04136 0.0488891i
\(403\) −3.45634 7.00671i −0.172172 0.349029i
\(404\) −7.09973 −0.353225
\(405\) 26.0989 + 6.14468i 1.29686 + 0.305332i
\(406\) 1.67765 15.9617i 0.0832602 0.792168i
\(407\) −1.04399 1.15947i −0.0517489 0.0574729i
\(408\) 4.84801 9.38798i 0.240012 0.464774i
\(409\) 2.19778 3.80667i 0.108673 0.188228i −0.806560 0.591153i \(-0.798673\pi\)
0.915233 + 0.402925i \(0.132006\pi\)
\(410\) 9.40994 + 10.4508i 0.464724 + 0.516128i
\(411\) 31.0017 + 5.08345i 1.52920 + 0.250748i
\(412\) −7.49449 + 8.32347i −0.369227 + 0.410068i
\(413\) 3.22838 + 30.7160i 0.158858 + 1.51143i
\(414\) 8.49527 + 7.81842i 0.417520 + 0.384255i
\(415\) 21.7865 + 9.69998i 1.06946 + 0.476153i
\(416\) 0.146677 1.39554i 0.00719143 0.0684219i
\(417\) 22.0247 + 3.61146i 1.07855 + 0.176854i
\(418\) 0.169118 1.60905i 0.00827184 0.0787013i
\(419\) 3.49734 33.2749i 0.170856 1.62559i −0.487670 0.873028i \(-0.662153\pi\)
0.658526 0.752558i \(-0.271180\pi\)
\(420\) 16.3222 + 2.67640i 0.796441 + 0.130595i
\(421\) −1.60338 + 15.2552i −0.0781441 + 0.743491i 0.883359 + 0.468697i \(0.155276\pi\)
−0.961503 + 0.274794i \(0.911390\pi\)
\(422\) −15.5541 6.92512i −0.757160 0.337110i
\(423\) −30.3081 + 9.48393i −1.47363 + 0.461125i
\(424\) 0.745996 + 7.09767i 0.0362287 + 0.344694i
\(425\) 15.8188 17.5685i 0.767323 0.852198i
\(426\) −23.5825 3.86690i −1.14258 0.187352i
\(427\) −4.46979 4.96420i −0.216308 0.240235i
\(428\) −9.89931 + 17.1461i −0.478501 + 0.828789i
\(429\) −4.03552 + 7.81463i −0.194837 + 0.377294i
\(430\) 17.9010 + 19.8810i 0.863261 + 0.958749i
\(431\) −2.32932 + 22.1620i −0.112199 + 1.06750i 0.783056 + 0.621951i \(0.213660\pi\)
−0.895255 + 0.445553i \(0.853007\pi\)
\(432\) 1.26267 + 5.04040i 0.0607503 + 0.242507i
\(433\) 35.5312 1.70752 0.853760 0.520667i \(-0.174317\pi\)
0.853760 + 0.520667i \(0.174317\pi\)
\(434\) 13.7229 + 11.4105i 0.658719 + 0.547721i
\(435\) 25.8082 1.21163i 1.23741 0.0580930i
\(436\) 3.87938 + 1.72721i 0.185789 + 0.0827184i
\(437\) −1.57189 + 0.699851i −0.0751937 + 0.0334784i
\(438\) −11.5581 11.6847i −0.552266 0.558315i
\(439\) −2.66297 4.61240i −0.127097 0.220138i 0.795454 0.606014i \(-0.207232\pi\)
−0.922551 + 0.385876i \(0.873899\pi\)
\(440\) −5.39036 9.33637i −0.256975 0.445094i
\(441\) 7.22873 + 6.65279i 0.344225 + 0.316800i
\(442\) −2.64517 8.14100i −0.125818 0.387228i
\(443\) 4.03417 4.48039i 0.191669 0.212870i −0.639649 0.768667i \(-0.720920\pi\)
0.831318 + 0.555797i \(0.187587\pi\)
\(444\) −0.582911 + 0.466798i −0.0276637 + 0.0221532i
\(445\) −4.86433 + 14.9709i −0.230591 + 0.709687i
\(446\) −0.817470 7.77771i −0.0387083 0.368285i
\(447\) −29.4691 19.3665i −1.39384 0.916003i
\(448\) 0.990529 + 3.04854i 0.0467981 + 0.144030i
\(449\) −19.4979 14.1661i −0.920165 0.668539i 0.0234002 0.999726i \(-0.492551\pi\)
−0.943565 + 0.331187i \(0.892551\pi\)
\(450\) −0.126653 + 11.6255i −0.00597049 + 0.548033i
\(451\) 11.4300 12.6943i 0.538218 0.597751i
\(452\) −1.70090 + 16.1830i −0.0800035 + 0.761183i
\(453\) 2.92881 2.34540i 0.137607 0.110197i
\(454\) −6.28181 + 19.3334i −0.294820 + 0.907363i
\(455\) 10.8409 7.87635i 0.508228 0.369249i
\(456\) −0.764191 0.125307i −0.0357865 0.00586802i
\(457\) −1.93978 0.412312i −0.0907390 0.0192872i 0.162318 0.986738i \(-0.448103\pi\)
−0.253057 + 0.967451i \(0.581436\pi\)
\(458\) 18.5117 3.93479i 0.864997 0.183861i
\(459\) 19.5427 + 24.9563i 0.912177 + 1.16486i
\(460\) −5.73263 + 9.92920i −0.267285 + 0.462952i
\(461\) 11.1974 + 12.4360i 0.521517 + 0.579203i 0.945152 0.326630i \(-0.105913\pi\)
−0.423636 + 0.905833i \(0.639246\pi\)
\(462\) 1.16074 20.0573i 0.0540027 0.933151i
\(463\) 3.08014 + 1.37137i 0.143146 + 0.0637328i 0.477060 0.878871i \(-0.341703\pi\)
−0.333913 + 0.942604i \(0.608369\pi\)
\(464\) 2.50352 + 4.33622i 0.116223 + 0.201304i
\(465\) −14.8209 + 24.6121i −0.687301 + 1.14136i
\(466\) −0.323441 + 0.560217i −0.0149831 + 0.0259515i
\(467\) −31.5458 + 22.9194i −1.45976 + 1.06058i −0.476340 + 0.879261i \(0.658037\pi\)
−0.983424 + 0.181320i \(0.941963\pi\)
\(468\) 3.62254 + 2.14443i 0.167452 + 0.0991262i
\(469\) −11.9536 + 36.7894i −0.551967 + 1.69878i
\(470\) −15.7683 27.3116i −0.727340 1.25979i
\(471\) 0.277047 0.536491i 0.0127656 0.0247202i
\(472\) −6.44727 7.16042i −0.296760 0.329585i
\(473\) 21.7438 24.1489i 0.999781 1.11037i
\(474\) 4.51674 + 11.9608i 0.207461 + 0.549380i
\(475\) −1.58289 0.704747i −0.0726279 0.0323360i
\(476\) 13.0840 + 14.5312i 0.599704 + 0.666038i
\(477\) −20.2891 6.83758i −0.928976 0.313071i
\(478\) 8.00795 3.56537i 0.366275 0.163076i
\(479\) 2.44407 + 7.52208i 0.111673 + 0.343693i 0.991239 0.132084i \(-0.0421669\pi\)
−0.879566 + 0.475777i \(0.842167\pi\)
\(480\) −4.61034 + 2.31754i −0.210432 + 0.105781i
\(481\) −0.0632405 + 0.601694i −0.00288352 + 0.0274349i
\(482\) 14.1808 + 3.01422i 0.645917 + 0.137294i
\(483\) −19.0903 + 9.59639i −0.868640 + 0.436651i
\(484\) −1.69492 + 1.23143i −0.0770416 + 0.0559740i
\(485\) 15.1808 + 16.8600i 0.689323 + 0.765571i
\(486\) −15.3244 2.85694i −0.695130 0.129593i
\(487\) 41.1644 + 8.74977i 1.86534 + 0.396490i 0.995329 0.0965447i \(-0.0307791\pi\)
0.870010 + 0.493035i \(0.164112\pi\)
\(488\) 2.03843 + 0.433281i 0.0922753 + 0.0196137i
\(489\) 27.4207 7.18750i 1.24001 0.325030i
\(490\) −4.87796 + 8.44888i −0.220364 + 0.381682i
\(491\) 18.5945 0.839159 0.419579 0.907719i \(-0.362178\pi\)
0.419579 + 0.907719i \(0.362178\pi\)
\(492\) −5.74975 5.81273i −0.259219 0.262058i
\(493\) 24.7106 + 17.9533i 1.11291 + 0.808575i
\(494\) −0.507560 + 0.368764i −0.0228362 + 0.0165915i
\(495\) 32.1999 3.03008i 1.44728 0.136192i
\(496\) −5.55589 0.363503i −0.249467 0.0163218i
\(497\) 22.1129 38.3007i 0.991901 1.71802i
\(498\) −12.9170 5.03925i −0.578822 0.225814i
\(499\) 29.4625 13.1176i 1.31892 0.587222i 0.377988 0.925810i \(-0.376616\pi\)
0.940935 + 0.338588i \(0.109949\pi\)
\(500\) 3.27713 0.696575i 0.146558 0.0311518i
\(501\) −7.84928 + 0.368503i −0.350680 + 0.0164635i
\(502\) 6.31009 0.281633
\(503\) −28.4904 + 6.05582i −1.27032 + 0.270016i −0.793276 0.608862i \(-0.791626\pi\)
−0.477048 + 0.878877i \(0.658293\pi\)
\(504\) −9.55207 1.10930i −0.425483 0.0494120i
\(505\) 20.6890 + 4.39759i 0.920650 + 0.195690i
\(506\) 12.7225 + 5.66443i 0.565585 + 0.251815i
\(507\) −18.4818 + 4.84445i −0.820806 + 0.215149i
\(508\) 0.644566 + 6.13264i 0.0285980 + 0.272092i
\(509\) −30.1854 21.9310i −1.33795 0.972075i −0.999517 0.0310826i \(-0.990104\pi\)
−0.338429 0.940992i \(-0.609896\pi\)
\(510\) −19.9423 + 24.3543i −0.883061 + 1.07843i
\(511\) 27.7865 12.3713i 1.22920 0.547276i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) 1.29697 1.92745i 0.0572625 0.0850992i
\(514\) −8.56009 + 3.81120i −0.377569 + 0.168105i
\(515\) 26.9950 19.6130i 1.18954 0.864252i
\(516\) −10.9380 11.0578i −0.481519 0.486794i
\(517\) −30.9908 + 22.5161i −1.36297 + 0.990259i
\(518\) −0.427072 1.31439i −0.0187645 0.0577511i
\(519\) −5.07471 0.832116i −0.222755 0.0365258i
\(520\) −1.29183 + 3.97583i −0.0566503 + 0.174352i
\(521\) 5.30094 + 9.18150i 0.232239 + 0.402249i 0.958467 0.285205i \(-0.0920617\pi\)
−0.726228 + 0.687454i \(0.758728\pi\)
\(522\) −14.9550 + 1.40730i −0.654565 + 0.0615959i
\(523\) −8.01325 + 24.6623i −0.350395 + 1.07841i 0.608237 + 0.793756i \(0.291877\pi\)
−0.958632 + 0.284649i \(0.908123\pi\)
\(524\) −15.1648 11.0178i −0.662476 0.481317i
\(525\) −20.0447 7.81997i −0.874822 0.341292i
\(526\) 9.56302 + 16.5636i 0.416967 + 0.722209i
\(527\) −31.8638 + 11.7594i −1.38801 + 0.512247i
\(528\) 3.38500 + 5.27512i 0.147313 + 0.229570i
\(529\) 0.856002 + 8.14432i 0.0372175 + 0.354101i
\(530\) 2.22244 21.1451i 0.0965367 0.918485i
\(531\) 27.5868 8.63239i 1.19716 0.374614i
\(532\) 0.716568 1.24113i 0.0310672 0.0538099i
\(533\) −6.62383 −0.286910
\(534\) 2.41678 8.82693i 0.104584 0.381979i
\(535\) 39.4675 43.8332i 1.70633 1.89507i
\(536\) −3.72919 11.4773i −0.161076 0.495742i
\(537\) 1.35102 + 8.84141i 0.0583007 + 0.381535i
\(538\) −7.09670 + 1.50845i −0.305960 + 0.0650339i
\(539\) 10.8257 + 4.81993i 0.466298 + 0.207609i
\(540\) −0.557459 15.4701i −0.0239892 0.665729i
\(541\) −13.1059 + 14.5555i −0.563465 + 0.625792i −0.955795 0.294033i \(-0.905002\pi\)
0.392330 + 0.919825i \(0.371669\pi\)
\(542\) 12.7885 5.69381i 0.549313 0.244570i
\(543\) 19.0965 + 12.5498i 0.819511 + 0.538566i
\(544\) −5.96690 1.26830i −0.255829 0.0543781i
\(545\) −10.2349 7.43610i −0.438416 0.318528i
\(546\) −6.08108 + 4.86975i −0.260246 + 0.208406i
\(547\) −36.0168 + 7.65561i −1.53997 + 0.327330i −0.898206 0.439575i \(-0.855129\pi\)
−0.641761 + 0.766905i \(0.721796\pi\)
\(548\) −1.89593 18.0385i −0.0809900 0.770568i
\(549\) −3.72966 + 5.01756i −0.159178 + 0.214144i
\(550\) 4.33364 + 13.3376i 0.184787 + 0.568716i
\(551\) 0.691776 2.12907i 0.0294707 0.0907014i
\(552\) 3.05850 5.92267i 0.130178 0.252086i
\(553\) −23.6610 −1.00617
\(554\) −20.9963 + 4.46290i −0.892048 + 0.189611i
\(555\) 1.98777 0.999220i 0.0843763 0.0424145i
\(556\) −1.34693 12.8152i −0.0571226 0.543485i
\(557\) −6.13161 −0.259805 −0.129902 0.991527i \(-0.541466\pi\)
−0.129902 + 0.991527i \(0.541466\pi\)
\(558\) 7.93616 14.6975i 0.335964 0.622196i
\(559\) −12.6008 −0.532958
\(560\) −0.998191 9.49716i −0.0421813 0.401328i
\(561\) 31.9524 + 20.9985i 1.34903 + 0.886557i
\(562\) 19.4613 4.13662i 0.820924 0.174493i
\(563\) −5.98434 −0.252210 −0.126105 0.992017i \(-0.540248\pi\)
−0.126105 + 0.992017i \(0.540248\pi\)
\(564\) 9.90209 + 15.4313i 0.416953 + 0.649773i
\(565\) 14.9803 46.1046i 0.630226 1.93964i
\(566\) 2.04480 + 6.29323i 0.0859492 + 0.264524i
\(567\) 14.9653 24.6636i 0.628482 1.03577i
\(568\) 1.44220 + 13.7216i 0.0605134 + 0.575747i
\(569\) −44.0709 + 9.36756i −1.84755 + 0.392709i −0.992128 0.125226i \(-0.960034\pi\)
−0.855420 + 0.517935i \(0.826701\pi\)
\(570\) 2.14928 + 0.838493i 0.0900235 + 0.0351206i
\(571\) 22.3677 + 16.2511i 0.936060 + 0.680087i 0.947469 0.319848i \(-0.103632\pi\)
−0.0114094 + 0.999935i \(0.503632\pi\)
\(572\) 4.96689 + 1.05575i 0.207676 + 0.0441430i
\(573\) 8.70217 4.37444i 0.363538 0.182745i
\(574\) 13.8228 6.15432i 0.576954 0.256876i
\(575\) 9.97971 11.0836i 0.416183 0.462218i
\(576\) 2.61426 1.47161i 0.108928 0.0613170i
\(577\) −21.3370 9.49986i −0.888272 0.395484i −0.0887028 0.996058i \(-0.528272\pi\)
−0.799569 + 0.600574i \(0.794939\pi\)
\(578\) −19.7708 + 4.20241i −0.822356 + 0.174797i
\(579\) −14.1339 + 11.3185i −0.587383 + 0.470379i
\(580\) −4.60954 14.1867i −0.191401 0.589071i
\(581\) 17.1696 19.0687i 0.712313 0.791104i
\(582\) −9.27590 9.37750i −0.384498 0.388710i
\(583\) −25.8259 −1.06960
\(584\) −4.74448 + 8.21767i −0.196328 + 0.340050i
\(585\) −9.22803 8.49280i −0.381532 0.351134i
\(586\) −3.37886 + 32.1477i −0.139579 + 1.32801i
\(587\) −0.428776 4.07953i −0.0176975 0.168380i 0.982103 0.188343i \(-0.0603118\pi\)
−0.999801 + 0.0199631i \(0.993645\pi\)
\(588\) 2.60252 5.03967i 0.107326 0.207833i
\(589\) 1.54136 + 1.95474i 0.0635106 + 0.0805436i
\(590\) 14.3525 + 24.8593i 0.590885 + 1.02344i
\(591\) 15.1421 12.1258i 0.622861 0.498790i
\(592\) 0.348812 + 0.253427i 0.0143361 + 0.0104158i
\(593\) 10.4643 32.2059i 0.429719 1.32254i −0.468684 0.883366i \(-0.655272\pi\)
0.898403 0.439173i \(-0.144728\pi\)
\(594\) −18.6174 + 2.63763i −0.763882 + 0.108223i
\(595\) −29.1268 50.4492i −1.19408 2.06821i
\(596\) −6.29133 + 19.3627i −0.257703 + 0.793128i
\(597\) 11.4577 + 30.3412i 0.468932 + 1.24178i
\(598\) −1.66878 5.13598i −0.0682415 0.210026i
\(599\) −35.2247 + 25.5922i −1.43924 + 1.04567i −0.451040 + 0.892504i \(0.648947\pi\)
−0.988201 + 0.153166i \(0.951053\pi\)
\(600\) 6.49305 1.70196i 0.265078 0.0694821i
\(601\) 30.4659 22.1347i 1.24273 0.902895i 0.244951 0.969535i \(-0.421228\pi\)
0.997777 + 0.0666404i \(0.0212280\pi\)
\(602\) 26.2958 11.7077i 1.07174 0.477168i
\(603\) 35.9620 + 4.17633i 1.46449 + 0.170073i
\(604\) −1.75259 1.27333i −0.0713118 0.0518111i
\(605\) 5.70184 2.53862i 0.231813 0.103210i
\(606\) −12.1350 1.98982i −0.492952 0.0808308i
\(607\) −26.0927 18.9574i −1.05907 0.769458i −0.0851524 0.996368i \(-0.527138\pi\)
−0.973916 + 0.226910i \(0.927138\pi\)
\(608\) 0.0467344 + 0.444648i 0.00189533 + 0.0180329i
\(609\) 7.34102 26.8120i 0.297473 1.08648i
\(610\) −5.67173 2.52522i −0.229642 0.102243i
\(611\) 14.5296 + 3.08836i 0.587805 + 0.124942i
\(612\) 10.9175 14.6874i 0.441313 0.593705i
\(613\) 22.0071 4.67776i 0.888859 0.188933i 0.259218 0.965819i \(-0.416535\pi\)
0.629641 + 0.776886i \(0.283202\pi\)
\(614\) −15.4503 −0.623523
\(615\) 13.1547 + 20.5001i 0.530449 + 0.826642i
\(616\) −11.3460 + 2.41167i −0.457143 + 0.0971688i
\(617\) 12.0367 5.35907i 0.484578 0.215748i −0.149882 0.988704i \(-0.547889\pi\)
0.634460 + 0.772956i \(0.281223\pi\)
\(618\) −15.1426 + 12.1262i −0.609123 + 0.487789i
\(619\) −10.0454 + 17.3991i −0.403757 + 0.699328i −0.994176 0.107769i \(-0.965629\pi\)
0.590419 + 0.807097i \(0.298963\pi\)
\(620\) 15.9650 + 4.50060i 0.641171 + 0.180748i
\(621\) 12.3291 + 15.7444i 0.494749 + 0.631800i
\(622\) 14.2939 10.3851i 0.573131 0.416404i
\(623\) 13.7022 + 9.95520i 0.548965 + 0.398846i
\(624\) 0.641827 2.34418i 0.0256936 0.0938423i
\(625\) −29.3583 −1.17433
\(626\) −4.80865 + 8.32883i −0.192192 + 0.332887i
\(627\) 0.740025 2.70283i 0.0295537 0.107941i
\(628\) −0.340987 0.0724791i −0.0136069 0.00289223i
\(629\) 2.57266 + 0.546836i 0.102579 + 0.0218038i
\(630\) 27.1482 + 9.14913i 1.08161 + 0.364510i
\(631\) −29.2212 32.4534i −1.16328 1.29195i −0.949036 0.315168i \(-0.897939\pi\)
−0.214240 0.976781i \(-0.568727\pi\)
\(632\) 5.97181 4.33878i 0.237546 0.172587i
\(633\) −24.6445 16.1959i −0.979532 0.643728i
\(634\) 8.31426 + 1.76725i 0.330201 + 0.0701865i
\(635\) 1.92027 18.2701i 0.0762035 0.725027i
\(636\) −0.714167 + 12.3406i −0.0283186 + 0.489337i
\(637\) −1.41999 4.37027i −0.0562619 0.173156i
\(638\) −16.5525 + 7.36966i −0.655321 + 0.291768i
\(639\) −39.2241 13.2188i −1.55168 0.522928i
\(640\) 1.99345 + 2.21395i 0.0787980 + 0.0875140i
\(641\) 24.9683 + 11.1166i 0.986187 + 0.439079i 0.835493 0.549502i \(-0.185182\pi\)
0.150694 + 0.988580i \(0.451849\pi\)
\(642\) −21.7256 + 26.5321i −0.857443 + 1.04714i
\(643\) −17.0857 + 18.9756i −0.673794 + 0.748324i −0.978977 0.203970i \(-0.934616\pi\)
0.305183 + 0.952294i \(0.401282\pi\)
\(644\) 8.25440 + 9.16744i 0.325269 + 0.361248i
\(645\) 25.0248 + 38.9982i 0.985350 + 1.53555i
\(646\) 1.36369 + 2.36199i 0.0536538 + 0.0929311i
\(647\) −6.02029 + 18.5286i −0.236682 + 0.728433i 0.760212 + 0.649675i \(0.225095\pi\)
−0.996894 + 0.0787572i \(0.974905\pi\)
\(648\) 0.745531 + 8.96907i 0.0292872 + 0.352338i
\(649\) 28.2082 20.4945i 1.10727 0.804478i
\(650\) 2.71903 4.70951i 0.106649 0.184722i
\(651\) 20.2575 + 23.3492i 0.793954 + 0.915126i
\(652\) −8.18309 14.1735i −0.320474 0.555078i
\(653\) 14.1956 + 6.32030i 0.555518 + 0.247333i 0.665240 0.746630i \(-0.268329\pi\)
−0.109722 + 0.993962i \(0.534996\pi\)
\(654\) 6.14666 + 4.03946i 0.240353 + 0.157955i
\(655\) 37.3665 + 41.4998i 1.46003 + 1.62153i
\(656\) −2.36022 + 4.08802i −0.0921510 + 0.159610i
\(657\) −16.4805 23.2111i −0.642966 0.905551i
\(658\) −33.1903 + 7.05482i −1.29389 + 0.275026i
\(659\) −30.1910 6.41729i −1.17607 0.249982i −0.421890 0.906647i \(-0.638633\pi\)
−0.754183 + 0.656665i \(0.771967\pi\)
\(660\) −6.59666 17.4687i −0.256775 0.679968i
\(661\) 4.62440 3.35982i 0.179868 0.130682i −0.494208 0.869344i \(-0.664542\pi\)
0.674076 + 0.738662i \(0.264542\pi\)
\(662\) −0.874670 + 2.69196i −0.0339950 + 0.104626i
\(663\) −2.23954 14.6562i −0.0869766 0.569198i
\(664\) −0.836754 + 7.96118i −0.0324723 + 0.308954i
\(665\) −2.85688 + 3.17289i −0.110785 + 0.123039i
\(666\) −1.12715 + 0.634492i −0.0436763 + 0.0245861i
\(667\) 15.5894 + 11.3263i 0.603622 + 0.438557i
\(668\) 1.40194 + 4.31473i 0.0542427 + 0.166942i
\(669\) 0.782592 13.5230i 0.0302567 0.522828i
\(670\) 3.75803 + 35.7553i 0.145186 + 1.38135i
\(671\) −2.33038 + 7.17217i −0.0899633 + 0.276879i
\(672\) 0.838635 + 5.48825i 0.0323510 + 0.211714i
\(673\) 20.4249 22.6841i 0.787320 0.874408i −0.207270 0.978284i \(-0.566458\pi\)
0.994590 + 0.103876i \(0.0331245\pi\)
\(674\) 5.04655 + 15.5317i 0.194386 + 0.598258i
\(675\) −3.47473 + 19.8352i −0.133742 + 0.763456i
\(676\) 5.51548 + 9.55309i 0.212134 + 0.367427i
\(677\) 13.4891 + 23.3639i 0.518429 + 0.897946i 0.999771 + 0.0214128i \(0.00681643\pi\)
−0.481341 + 0.876533i \(0.659850\pi\)
\(678\) −7.44277 + 27.1836i −0.285838 + 1.04398i
\(679\) 22.3000 9.92858i 0.855794 0.381024i
\(680\) 16.6023 + 7.39183i 0.636670 + 0.283464i
\(681\) −16.1556 + 31.2846i −0.619082 + 1.19883i
\(682\) 3.40976 19.8575i 0.130567 0.760382i
\(683\) −17.1654 −0.656814 −0.328407 0.944536i \(-0.606512\pi\)
−0.328407 + 0.944536i \(0.606512\pi\)
\(684\) −1.27105 0.428354i −0.0486000 0.0163785i
\(685\) −5.64827 + 53.7397i −0.215809 + 2.05329i
\(686\) −7.99014 8.87395i −0.305065 0.338809i
\(687\) 32.7435 1.53722i 1.24924 0.0586487i
\(688\) −4.48995 + 7.77682i −0.171178 + 0.296488i
\(689\) 6.70100 + 7.44222i 0.255288 + 0.283526i
\(690\) −12.5812 + 15.3646i −0.478957 + 0.584920i
\(691\) −13.4830 + 14.9744i −0.512919 + 0.569654i −0.942854 0.333205i \(-0.891870\pi\)
0.429935 + 0.902860i \(0.358536\pi\)
\(692\) 0.310347 + 2.95275i 0.0117976 + 0.112247i
\(693\) 7.60537 33.9572i 0.288904 1.28993i
\(694\) 9.54976 + 4.25183i 0.362504 + 0.161397i
\(695\) −4.01273 + 38.1785i −0.152211 + 1.44819i
\(696\) 3.06378 + 8.11323i 0.116132 + 0.307531i
\(697\) −3.00996 + 28.6379i −0.114010 + 1.08474i
\(698\) −0.160589 + 1.52791i −0.00607840 + 0.0578321i
\(699\) −0.709844 + 0.866887i −0.0268488 + 0.0327887i
\(700\) −1.29849 + 12.3543i −0.0490781 + 0.466947i
\(701\) 1.06138 + 0.472556i 0.0400877 + 0.0178482i 0.426683 0.904401i \(-0.359682\pi\)
−0.386595 + 0.922250i \(0.626349\pi\)
\(702\) 5.59072 + 4.68059i 0.211008 + 0.176657i
\(703\) −0.0201498 0.191713i −0.000759964 0.00723058i
\(704\) 2.42139 2.68922i 0.0912594 0.101354i
\(705\) −19.2971 51.1010i −0.726772 1.92457i
\(706\) 11.3568 + 12.6130i 0.427419 + 0.474697i
\(707\) 11.3788 19.7087i 0.427944 0.741221i
\(708\) −9.01301 14.0457i −0.338729 0.527870i
\(709\) −19.2205 21.3465i −0.721841 0.801685i 0.264851 0.964289i \(-0.414677\pi\)
−0.986691 + 0.162604i \(0.948011\pi\)
\(710\) 4.29655 40.8790i 0.161247 1.53416i
\(711\) 4.36790 + 21.7097i 0.163809 + 0.814176i
\(712\) −5.28380 −0.198019
\(713\) −20.1022 + 7.41874i −0.752833 + 0.277834i
\(714\) 18.2909 + 28.5042i 0.684518 + 1.06674i
\(715\) −13.8199 6.15301i −0.516835 0.230110i
\(716\) 4.71740 2.10032i 0.176298 0.0784928i
\(717\) 14.6866 3.84966i 0.548483 0.143768i
\(718\) −10.2652 17.7799i −0.383095 0.663540i
\(719\) 23.6725 + 41.0020i 0.882836 + 1.52912i 0.848174 + 0.529717i \(0.177702\pi\)
0.0346616 + 0.999399i \(0.488965\pi\)
\(720\) −8.52964 + 2.66907i −0.317881 + 0.0994705i
\(721\) −11.0943 34.1446i −0.413172 1.27161i
\(722\) −12.5797 + 13.9712i −0.468169 + 0.519954i
\(723\) 23.3934 + 9.12638i 0.870009 + 0.339414i
\(724\) 4.07690 12.5474i 0.151517 0.466321i
\(725\) 2.02830 + 19.2980i 0.0753293 + 0.716711i
\(726\) −3.24212 + 1.62976i −0.120326 + 0.0604861i
\(727\) −9.48197 29.1825i −0.351667 1.08232i −0.957917 0.287045i \(-0.907327\pi\)
0.606250 0.795274i \(-0.292673\pi\)
\(728\) 3.63890 + 2.64381i 0.134867 + 0.0979863i
\(729\) −25.3922 9.17808i −0.940451 0.339929i
\(730\) 18.9157 21.0081i 0.700103 0.777543i
\(731\) −5.72598 + 54.4791i −0.211783 + 2.01498i
\(732\) 3.36270 + 1.31188i 0.124289 + 0.0484884i
\(733\) 0.745376 2.29403i 0.0275311 0.0847320i −0.936347 0.351076i \(-0.885816\pi\)
0.963878 + 0.266344i \(0.0858158\pi\)
\(734\) −13.1982 + 9.58905i −0.487154 + 0.353938i
\(735\) −10.7055 + 13.0739i −0.394878 + 0.482238i
\(736\) −3.76438 0.800145i −0.138757 0.0294937i
\(737\) 42.7159 9.07955i 1.57346 0.334449i
\(738\) −8.19850 11.5467i −0.301791 0.425041i
\(739\) −1.70400 + 2.95141i −0.0626825 + 0.108569i −0.895664 0.444732i \(-0.853299\pi\)
0.832981 + 0.553301i \(0.186632\pi\)
\(740\) −0.859486 0.954556i −0.0315953 0.0350902i
\(741\) −0.970886 + 0.488048i −0.0356664 + 0.0179289i
\(742\) −20.8986 9.30465i −0.767211 0.341584i
\(743\) 11.3988 + 19.7433i 0.418180 + 0.724310i 0.995757 0.0920271i \(-0.0293346\pi\)
−0.577576 + 0.816337i \(0.696001\pi\)
\(744\) −9.39438 2.17844i −0.344415 0.0798654i
\(745\) 30.3267 52.5273i 1.11108 1.92445i
\(746\) 22.6425 16.4507i 0.829000 0.602304i
\(747\) −20.6656 12.2334i −0.756116 0.447597i
\(748\) 6.82150 20.9944i 0.249419 0.767632i
\(749\) −31.7315 54.9605i −1.15944 2.00821i
\(750\) 5.79657 0.272134i 0.211661 0.00993692i
\(751\) −3.93046 4.36522i −0.143425 0.159289i 0.667152 0.744921i \(-0.267513\pi\)
−0.810577 + 0.585632i \(0.800846\pi\)
\(752\) 7.08326 7.86675i 0.258300 0.286871i
\(753\) 10.7854 + 1.76851i 0.393040 + 0.0644480i
\(754\) 6.41857 + 2.85773i 0.233751 + 0.104072i
\(755\) 4.31845 + 4.79612i 0.157164 + 0.174549i
\(756\) −16.0157 4.57316i −0.582487 0.166324i
\(757\) −47.0409 + 20.9440i −1.70973 + 0.761221i −0.711441 + 0.702746i \(0.751957\pi\)
−0.998289 + 0.0584752i \(0.981376\pi\)
\(758\) 9.66037 + 29.7316i 0.350881 + 1.07990i
\(759\) 20.1581 + 13.2475i 0.731692 + 0.480853i
\(760\) 0.139229 1.32468i 0.00505038 0.0480512i
\(761\) −0.406545 0.0864139i −0.0147373 0.00313250i 0.200537 0.979686i \(-0.435731\pi\)
−0.215274 + 0.976554i \(0.569065\pi\)
\(762\) −0.617065 + 10.6627i −0.0223539 + 0.386269i
\(763\) −11.0122 + 8.00085i −0.398669 + 0.289650i
\(764\) −3.76270 4.17890i −0.136130 0.151187i
\(765\) −40.9116 + 36.0378i −1.47916 + 1.30295i
\(766\) −5.88376 1.25063i −0.212589 0.0451872i
\(767\) −13.2250 2.81106i −0.477528 0.101502i
\(768\) −1.21806 1.23140i −0.0439528 0.0444342i
\(769\) 9.93847 17.2139i 0.358390 0.620750i −0.629302 0.777161i \(-0.716659\pi\)
0.987692 + 0.156411i \(0.0499924\pi\)
\(770\) 34.5567 1.24534
\(771\) −15.6993 + 4.11509i −0.565395 + 0.148201i
\(772\) 8.45766 + 6.14485i 0.304398 + 0.221158i
\(773\) 0.874552 0.635399i 0.0314555 0.0228537i −0.571946 0.820291i \(-0.693811\pi\)
0.603402 + 0.797437i \(0.293811\pi\)
\(774\) −15.5964 21.9659i −0.560601 0.789547i
\(775\) −19.0969 10.0445i −0.685980 0.360810i
\(776\) −3.80767 + 6.59507i −0.136687 + 0.236749i
\(777\) −0.361582 2.36629i −0.0129717 0.0848901i
\(778\) 15.6424 6.96446i 0.560809 0.249688i
\(779\) 2.06438 0.438797i 0.0739639 0.0157215i
\(780\) −3.32231 + 6.43353i −0.118958 + 0.230357i
\(781\) −49.9280 −1.78657
\(782\) −22.9635 + 4.88104i −0.821173 + 0.174546i
\(783\) −25.9560 1.78601i −0.927590 0.0638267i
\(784\) −3.20316 0.680853i −0.114399 0.0243162i
\(785\) 0.948764 + 0.422417i 0.0338629 + 0.0150767i
\(786\) −22.8321 23.0821i −0.814392 0.823313i
\(787\) −2.29151 21.8022i −0.0816833 0.777165i −0.956307 0.292363i \(-0.905558\pi\)
0.874624 0.484802i \(-0.161108\pi\)
\(788\) −9.06097 6.58318i −0.322784 0.234516i
\(789\) 11.7031 + 30.9912i 0.416642 + 1.10332i
\(790\) −20.0897 + 8.94450i −0.714759 + 0.318231i
\(791\) −42.1975 30.6583i −1.50037 1.09008i
\(792\) 4.30728 + 9.96507i 0.153053 + 0.354093i
\(793\) 2.67146 1.18941i 0.0948663 0.0422372i
\(794\) −2.37331 + 1.72431i −0.0842257 + 0.0611936i
\(795\) 9.72493 35.5189i 0.344908 1.25973i
\(796\) 15.1488 11.0062i 0.536935 0.390106i
\(797\) −9.73711 29.9677i −0.344906 1.06151i −0.961634 0.274335i \(-0.911542\pi\)
0.616728 0.787176i \(-0.288458\pi\)
\(798\) 1.57262 1.92054i 0.0556703 0.0679865i
\(799\) 19.9549 61.4147i 0.705952 2.17270i
\(800\) −1.93770 3.35620i −0.0685082 0.118660i
\(801\) 6.60471 14.4099i 0.233366 0.509148i
\(802\) −6.57143 + 20.2248i −0.232045 + 0.714162i
\(803\) −27.7798 20.1832i −0.980328 0.712250i
\(804\) −3.15733 20.6624i −0.111350 0.728706i
\(805\) −18.3755 31.8273i −0.647651 1.12176i
\(806\) −6.60704 + 4.16980i −0.232723 + 0.146875i
\(807\) −12.5526 + 0.589312i −0.441873 + 0.0207448i
\(808\) 0.742124 + 7.06083i 0.0261078 + 0.248399i
\(809\) 0.675378 6.42579i 0.0237450 0.225919i −0.976214 0.216811i \(-0.930434\pi\)
0.999959 0.00910739i \(-0.00289901\pi\)
\(810\) 3.38294 26.5982i 0.118864 0.934565i
\(811\) 7.53574 13.0523i 0.264616 0.458328i −0.702847 0.711341i \(-0.748088\pi\)
0.967463 + 0.253013i \(0.0814216\pi\)
\(812\) −16.0497 −0.563233
\(813\) 23.4542 6.14781i 0.822576 0.215613i
\(814\) −1.04399 + 1.15947i −0.0365920 + 0.0406395i
\(815\) 15.0669 + 46.3711i 0.527770 + 1.62431i
\(816\) −9.84331 3.84014i −0.344585 0.134432i
\(817\) 3.92716 0.834743i 0.137394 0.0292040i
\(818\) −4.01555 1.78784i −0.140400 0.0625103i
\(819\) −11.7588 + 6.61918i −0.410884 + 0.231293i
\(820\) 9.40994 10.4508i 0.328610 0.364958i
\(821\) 32.9122 14.6535i 1.14864 0.511409i 0.258015 0.966141i \(-0.416932\pi\)
0.890628 + 0.454732i \(0.150265\pi\)
\(822\) 1.81503 31.3633i 0.0633066 1.09392i
\(823\) −44.3639 9.42984i −1.54643 0.328703i −0.645873 0.763445i \(-0.723506\pi\)
−0.900555 + 0.434742i \(0.856840\pi\)
\(824\) 9.06126 + 6.58339i 0.315664 + 0.229343i
\(825\) 3.66909 + 24.0115i 0.127741 + 0.835973i
\(826\) 30.2102 6.42139i 1.05115 0.223429i
\(827\) 3.97334 + 37.8038i 0.138166 + 1.31457i 0.815443 + 0.578837i \(0.196493\pi\)
−0.677277 + 0.735728i \(0.736840\pi\)
\(828\) 6.88760 9.26598i 0.239360 0.322015i
\(829\) −8.64776 26.6151i −0.300349 0.924380i −0.981372 0.192117i \(-0.938465\pi\)
0.681023 0.732262i \(-0.261535\pi\)
\(830\) 7.36953 22.6811i 0.255800 0.787272i
\(831\) −37.1382 + 1.74354i −1.28831 + 0.0604828i
\(832\) −1.40322 −0.0486481
\(833\) −19.5399 + 4.15334i −0.677018 + 0.143905i
\(834\) 1.28946 22.2815i 0.0446504 0.771547i
\(835\) −1.41279 13.4418i −0.0488915 0.465171i
\(836\) −1.61792 −0.0559568
\(837\) 17.6839 22.8971i 0.611245 0.791441i
\(838\) −33.4582 −1.15579
\(839\) −3.96677 37.7413i −0.136948 1.30298i −0.819898 0.572510i \(-0.805970\pi\)
0.682950 0.730465i \(-0.260697\pi\)
\(840\) 0.955603 16.5125i 0.0329714 0.569737i
\(841\) 3.84369 0.817001i 0.132541 0.0281725i
\(842\) 15.3392 0.528624
\(843\) 34.4231 1.61607i 1.18559 0.0556604i
\(844\) −5.26134 + 16.1927i −0.181103 + 0.557377i
\(845\) −10.1552 31.2546i −0.349351 1.07519i
\(846\) 12.6000 + 29.1507i 0.433198 + 1.00222i
\(847\) −0.701956 6.67867i −0.0241195 0.229482i
\(848\) 6.98081 1.48382i 0.239722 0.0509545i
\(849\) 1.73123 + 11.3296i 0.0594158 + 0.388832i
\(850\) −19.1258 13.8957i −0.656009 0.476619i
\(851\) 1.62303 + 0.344987i 0.0556369 + 0.0118260i
\(852\) −1.38067 + 23.8576i −0.0473009 + 0.817346i
\(853\) 19.4702 8.66867i 0.666646 0.296810i −0.0453733 0.998970i \(-0.514448\pi\)
0.712019 + 0.702160i \(0.247781\pi\)
\(854\) −4.46979 + 4.96420i −0.152953 + 0.169872i
\(855\) 3.43861 + 2.03555i 0.117598 + 0.0696142i
\(856\) 18.0869 + 8.05283i 0.618199 + 0.275240i
\(857\) 30.1014 6.39826i 1.02825 0.218560i 0.337247 0.941416i \(-0.390504\pi\)
0.690999 + 0.722856i \(0.257171\pi\)
\(858\) 8.19365 + 3.19656i 0.279727 + 0.109129i
\(859\) 13.5778 + 41.7881i 0.463268 + 1.42579i 0.861147 + 0.508355i \(0.169746\pi\)
−0.397879 + 0.917438i \(0.630254\pi\)
\(860\) 17.9010 19.8810i 0.610418 0.677938i
\(861\) 25.3512 6.64504i 0.863966 0.226462i
\(862\) 22.2840 0.758998
\(863\) −6.17167 + 10.6896i −0.210086 + 0.363880i −0.951741 0.306902i \(-0.900708\pi\)
0.741655 + 0.670781i \(0.234041\pi\)
\(864\) 4.88081 1.78262i 0.166048 0.0606459i
\(865\) 0.924573 8.79672i 0.0314364 0.299097i
\(866\) −3.71402 35.3365i −0.126208 1.20078i
\(867\) −34.9705 + 1.64177i −1.18766 + 0.0557575i
\(868\) 9.91355 14.8404i 0.336488 0.503716i
\(869\) 13.3559 + 23.1330i 0.453067 + 0.784734i
\(870\) −3.90268 25.5402i −0.132313 0.865893i
\(871\) −13.6999 9.95355i −0.464203 0.337263i
\(872\) 1.31224 4.03867i 0.0444382 0.136767i
\(873\) −13.2264 18.6280i −0.447646 0.630462i
\(874\) 0.860324 + 1.49012i 0.0291009 + 0.0504042i
\(875\) −3.31861 + 10.2136i −0.112189 + 0.345284i
\(876\) −10.4125 + 12.7161i −0.351806 + 0.429638i
\(877\) −8.07861 24.8634i −0.272795 0.839578i −0.989794 0.142503i \(-0.954485\pi\)
0.716999 0.697074i \(-0.245515\pi\)
\(878\) −4.30877 + 3.13051i −0.145414 + 0.105649i
\(879\) −14.7852 + 54.0007i −0.498691 + 1.82140i
\(880\) −8.72178 + 6.33674i −0.294011 + 0.213612i
\(881\) −14.3517 + 6.38979i −0.483521 + 0.215277i −0.633996 0.773336i \(-0.718586\pi\)
0.150475 + 0.988614i \(0.451920\pi\)
\(882\) 5.86074 7.88454i 0.197341 0.265486i
\(883\) −43.0014 31.2423i −1.44711 1.05139i −0.986496 0.163788i \(-0.947629\pi\)
−0.460615 0.887600i \(-0.652371\pi\)
\(884\) −7.81991 + 3.48165i −0.263012 + 0.117100i
\(885\) 17.5645 + 46.5127i 0.590424 + 1.56351i
\(886\) −4.87754 3.54374i −0.163864 0.119054i
\(887\) 0.955726 + 9.09313i 0.0320901 + 0.305317i 0.998781 + 0.0493690i \(0.0157210\pi\)
−0.966690 + 0.255948i \(0.917612\pi\)
\(888\) 0.525171 + 0.530924i 0.0176236 + 0.0178166i
\(889\) −18.0571 8.03954i −0.605616 0.269637i
\(890\) 15.3973 + 3.27280i 0.516119 + 0.109704i
\(891\) −32.5606 0.709541i −1.09082 0.0237705i
\(892\) −7.64965 + 1.62598i −0.256129 + 0.0544419i
\(893\) −4.73287 −0.158379
\(894\) −16.1800 + 31.3320i −0.541141 + 1.04790i
\(895\) −15.0477 + 3.19850i −0.502991 + 0.106914i
\(896\) 2.92830 1.30376i 0.0978276 0.0435556i
\(897\) −1.41288 9.24625i −0.0471746 0.308723i
\(898\) −12.0504 + 20.8719i −0.402127 + 0.696504i
\(899\) 10.3274 25.8946i 0.344438 0.863632i
\(900\) 11.5751 1.08924i 0.385836 0.0363080i
\(901\) 35.2212 25.5897i 1.17339 0.852515i
\(902\) −13.8195 10.0405i −0.460140 0.334311i
\(903\) 48.2267 12.6412i 1.60489 0.420672i
\(904\) 16.2721 0.541202
\(905\) −19.6522 + 34.0387i −0.653263 + 1.13148i
\(906\) −2.63870 2.66760i −0.0876648 0.0886251i
\(907\) 21.3024 + 4.52796i 0.707334 + 0.150348i 0.547512 0.836798i \(-0.315575\pi\)
0.159821 + 0.987146i \(0.448908\pi\)
\(908\) 19.8842 + 4.22651i 0.659879 + 0.140262i
\(909\) −20.1838 6.80209i −0.669455 0.225611i
\(910\) −8.96638 9.95818i −0.297233 0.330110i
\(911\) −15.2288 + 11.0644i −0.504552 + 0.366578i −0.810753 0.585388i \(-0.800942\pi\)
0.306201 + 0.951967i \(0.400942\pi\)
\(912\) −0.0447405 + 0.773102i −0.00148151 + 0.0256000i
\(913\) −28.3348 6.02276i −0.937746 0.199324i
\(914\) −0.207292 + 1.97225i −0.00685660 + 0.0652362i
\(915\) −8.98653 5.90576i −0.297085 0.195238i
\(916\) −5.84824 17.9990i −0.193231 0.594705i
\(917\) 54.8900 24.4386i 1.81263 0.807033i
\(918\) 22.7768 22.0443i 0.751747 0.727572i
\(919\) −8.56840 9.51618i −0.282646 0.313910i 0.585058 0.810991i \(-0.301072\pi\)
−0.867704 + 0.497082i \(0.834405\pi\)
\(920\) 10.4740 + 4.66334i 0.345319 + 0.153746i
\(921\) −26.4080 4.33020i −0.870173 0.142685i
\(922\) 11.1974 12.4360i 0.368768 0.409558i
\(923\) 12.9548 + 14.3877i 0.426411 + 0.473578i
\(924\) −20.0688 + 0.942176i −0.660214 + 0.0309953i
\(925\) 0.835452 + 1.44704i 0.0274695 + 0.0475785i
\(926\) 1.04189 3.20661i 0.0342387 0.105376i
\(927\) −29.2806 + 16.4825i −0.961702 + 0.541357i
\(928\) 4.05078 2.94306i 0.132973 0.0966108i
\(929\) 14.3184 24.8002i 0.469772 0.813669i −0.529631 0.848228i \(-0.677669\pi\)
0.999403 + 0.0345592i \(0.0110027\pi\)
\(930\) 26.0265 + 12.1670i 0.853441 + 0.398972i
\(931\) 0.732060 + 1.26797i 0.0239923 + 0.0415559i
\(932\) 0.590957 + 0.263111i 0.0193574 + 0.00861848i
\(933\) 27.3420 13.7444i 0.895137 0.449971i
\(934\) 26.0912 + 28.9772i 0.853731 + 0.948164i
\(935\) −32.8823 + 56.9537i −1.07536 + 1.86259i
\(936\) 1.75402 3.82685i 0.0573320 0.125084i
\(937\) 33.4859 7.11765i 1.09394 0.232524i 0.374601 0.927186i \(-0.377780\pi\)
0.719336 + 0.694663i \(0.244446\pi\)
\(938\) 37.8374 + 8.04259i 1.23544 + 0.262600i
\(939\) −10.5534 + 12.8881i −0.344396 + 0.420589i
\(940\) −25.5137 + 18.5368i −0.832166 + 0.604604i
\(941\) 5.40212 16.6260i 0.176104 0.541993i −0.823578 0.567203i \(-0.808025\pi\)
0.999682 + 0.0252102i \(0.00802550\pi\)
\(942\) −0.562511 0.219451i −0.0183276 0.00715009i
\(943\) −1.89892 + 18.0670i −0.0618373 + 0.588342i
\(944\) −6.44727 + 7.16042i −0.209841 + 0.233052i
\(945\) 43.8382 + 23.2467i 1.42606 + 0.756214i
\(946\) −26.2895 19.1004i −0.854745 0.621009i
\(947\) −6.90529 21.2523i −0.224392 0.690607i −0.998353 0.0573737i \(-0.981727\pi\)
0.773961 0.633233i \(-0.218273\pi\)
\(948\) 11.4232 5.74225i 0.371008 0.186500i
\(949\) 1.39181 + 13.2422i 0.0451801 + 0.429860i
\(950\) −0.535430 + 1.64788i −0.0173716 + 0.0534644i
\(951\) 13.7156 + 5.35084i 0.444760 + 0.173513i
\(952\) 13.0840 14.5312i 0.424054 0.470960i
\(953\) −16.9721 52.2349i −0.549781 1.69205i −0.709341 0.704865i \(-0.751007\pi\)
0.159560 0.987188i \(-0.448993\pi\)
\(954\) −4.67933 + 20.8927i −0.151499 + 0.676426i
\(955\) 8.37632 + 14.5082i 0.271051 + 0.469474i
\(956\) −4.38290 7.59140i −0.141753 0.245523i
\(957\) −30.3575 + 7.95729i −0.981318 + 0.257223i
\(958\) 7.22540 3.21696i 0.233442 0.103935i
\(959\) 53.1132 + 23.6475i 1.71511 + 0.763618i
\(960\) 2.78676 + 4.34283i 0.0899422 + 0.140164i
\(961\) 17.5645 + 25.5438i 0.566598 + 0.823994i
\(962\) 0.605008 0.0195062
\(963\) −44.5701 + 39.2604i −1.43625 + 1.26515i
\(964\) 1.51541 14.4182i 0.0488081 0.464378i
\(965\) −20.8400 23.1452i −0.670863 0.745069i
\(966\) 11.5393 + 17.9827i 0.371271 + 0.578582i
\(967\) −2.07142 + 3.58780i −0.0666122 + 0.115376i −0.897408 0.441202i \(-0.854552\pi\)
0.830796 + 0.556577i \(0.187886\pi\)
\(968\) 1.40185 + 1.55691i 0.0450571 + 0.0500410i
\(969\) 1.66887 + 4.41936i 0.0536119 + 0.141970i
\(970\) 15.1808 16.8600i 0.487425 0.541341i
\(971\) −2.85556 27.1689i −0.0916393 0.871890i −0.939702 0.341994i \(-0.888898\pi\)
0.848063 0.529896i \(-0.177769\pi\)
\(972\) −1.23945 + 15.5391i −0.0397554 + 0.498417i
\(973\) 37.7334 + 16.8000i 1.20968 + 0.538583i
\(974\) 4.39898 41.8535i 0.140953 1.34107i
\(975\) 5.96736 7.28755i 0.191108 0.233388i
\(976\) 0.217834 2.07255i 0.00697270 0.0663408i
\(977\) 3.83766 36.5129i 0.122778 1.16815i −0.743552 0.668678i \(-0.766860\pi\)
0.866329 0.499473i \(-0.166473\pi\)
\(978\) −10.0144 26.5192i −0.320224 0.847990i
\(979\) 1.99864 19.0158i 0.0638767 0.607746i
\(980\) 8.91248 + 3.96809i 0.284699 + 0.126756i
\(981\) 9.37390 + 8.62704i 0.299285 + 0.275440i
\(982\) −1.94366 18.4926i −0.0620245 0.590124i
\(983\) −37.7456 + 41.9207i −1.20390 + 1.33706i −0.277404 + 0.960753i \(0.589474\pi\)
−0.926494 + 0.376310i \(0.877193\pi\)
\(984\) −5.17988 + 6.32585i −0.165128 + 0.201661i
\(985\) 22.3266 + 24.7962i 0.711384 + 0.790072i
\(986\) 15.2720 26.4518i 0.486359 0.842398i
\(987\) −58.7070 + 2.75614i −1.86866 + 0.0877288i
\(988\) 0.419798 + 0.466233i 0.0133556 + 0.0148329i
\(989\) −3.61240 + 34.3697i −0.114868 + 1.09289i
\(990\) −6.37928 31.7068i −0.202747 1.00771i
\(991\) −30.1379 −0.957362 −0.478681 0.877989i \(-0.658885\pi\)
−0.478681 + 0.877989i \(0.658885\pi\)
\(992\) 0.219236 + 5.56345i 0.00696076 + 0.176640i
\(993\) −2.24947 + 4.35602i −0.0713849 + 0.138234i
\(994\) −40.4023 17.9883i −1.28148 0.570554i
\(995\) −50.9618 + 22.6897i −1.61560 + 0.719310i
\(996\) −3.66145 + 13.3729i −0.116018 + 0.423738i
\(997\) 7.95563 + 13.7796i 0.251957 + 0.436403i 0.964065 0.265668i \(-0.0855924\pi\)
−0.712107 + 0.702071i \(0.752259\pi\)
\(998\) −16.1254 27.9300i −0.510440 0.884107i
\(999\) −2.10439 + 0.768586i −0.0665798 + 0.0243170i
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 558.2.bb.b.493.8 yes 128
9.4 even 3 558.2.y.b.121.9 128
31.10 even 15 558.2.y.b.475.9 yes 128
279.103 even 15 inner 558.2.bb.b.103.8 yes 128
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
558.2.y.b.121.9 128 9.4 even 3
558.2.y.b.475.9 yes 128 31.10 even 15
558.2.bb.b.103.8 yes 128 279.103 even 15 inner
558.2.bb.b.493.8 yes 128 1.1 even 1 trivial