Properties

Label 384.2.v.a.325.11
Level $384$
Weight $2$
Character 384.325
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(13,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 15, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), 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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 325.11
Character \(\chi\) \(=\) 384.325
Dual form 384.2.v.a.13.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.612256 + 1.27481i) q^{2} +(-0.290285 + 0.956940i) q^{3} +(-1.25028 - 1.56102i) q^{4} +(0.189500 - 1.92402i) q^{5} +(-1.04219 - 0.955951i) q^{6} +(0.476963 + 0.713825i) q^{7} +(2.75550 - 0.638130i) q^{8} +(-0.831470 - 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.612256 + 1.27481i) q^{2} +(-0.290285 + 0.956940i) q^{3} +(-1.25028 - 1.56102i) q^{4} +(0.189500 - 1.92402i) q^{5} +(-1.04219 - 0.955951i) q^{6} +(0.476963 + 0.713825i) q^{7} +(2.75550 - 0.638130i) q^{8} +(-0.831470 - 0.555570i) q^{9} +(2.33674 + 1.41957i) q^{10} +(1.06219 + 0.567753i) q^{11} +(1.85674 - 0.743307i) q^{12} +(2.36283 - 0.232719i) q^{13} +(-1.20202 + 0.170993i) q^{14} +(1.78617 + 0.739855i) q^{15} +(-0.873578 + 3.90344i) q^{16} +(2.31292 - 0.958043i) q^{17} +(1.21732 - 0.719815i) q^{18} +(5.82696 + 4.78206i) q^{19} +(-3.24037 + 2.10976i) q^{20} +(-0.821543 + 0.249212i) q^{21} +(-1.37411 + 1.00648i) q^{22} +(-0.204164 - 1.02640i) q^{23} +(-0.189227 + 2.82209i) q^{24} +(1.23797 + 0.246247i) q^{25} +(-1.14999 + 3.15465i) q^{26} +(0.773010 - 0.634393i) q^{27} +(0.517958 - 1.63703i) q^{28} +(-0.377671 - 0.706573i) q^{29} +(-2.03677 + 1.82404i) q^{30} +(2.13037 + 2.13037i) q^{31} +(-4.44130 - 3.50355i) q^{32} +(-0.851643 + 0.851643i) q^{33} +(-0.194777 + 3.53511i) q^{34} +(1.46380 - 0.782418i) q^{35} +(0.172316 + 1.99256i) q^{36} +(-0.783750 - 0.955002i) q^{37} +(-9.66381 + 4.50042i) q^{38} +(-0.463196 + 2.32864i) q^{39} +(-0.705611 - 5.42258i) q^{40} +(-9.21349 + 1.83268i) q^{41} +(0.185296 - 1.19989i) q^{42} +(2.08700 + 6.87991i) q^{43} +(-0.441766 - 2.36796i) q^{44} +(-1.22649 + 1.49449i) q^{45} +(1.43347 + 0.368150i) q^{46} +(-2.53591 - 6.12224i) q^{47} +(-3.48177 - 1.96907i) q^{48} +(2.39673 - 5.78622i) q^{49} +(-1.07187 + 1.42741i) q^{50} +(0.245385 + 2.49143i) q^{51} +(-3.31749 - 3.39747i) q^{52} +(1.02350 - 1.91484i) q^{53} +(0.335451 + 1.37385i) q^{54} +(1.29366 - 1.93609i) q^{55} +(1.76978 + 1.66258i) q^{56} +(-6.26762 + 4.18789i) q^{57} +(1.13198 - 0.0488553i) q^{58} +(4.98169 + 0.490653i) q^{59} +(-1.07829 - 3.71328i) q^{60} +(4.04828 + 1.22803i) q^{61} +(-4.02015 + 1.41149i) q^{62} -0.858510i q^{63} +(7.18558 - 3.51674i) q^{64} -4.59025i q^{65} +(-0.564260 - 1.60711i) q^{66} +(3.74011 + 1.13455i) q^{67} +(-4.38734 - 2.41269i) q^{68} +(1.04147 + 0.102576i) q^{69} +(0.101213 + 2.34511i) q^{70} +(13.0171 - 8.69775i) q^{71} +(-2.64564 - 1.00029i) q^{72} +(-2.96864 + 4.44289i) q^{73} +(1.69730 - 0.414427i) q^{74} +(-0.595006 + 1.11318i) q^{75} +(0.179547 - 15.0749i) q^{76} +(0.101349 + 1.02902i) q^{77} +(-2.68499 - 2.01621i) q^{78} +(2.08586 - 5.03571i) q^{79} +(7.34478 + 2.42049i) q^{80} +(0.382683 + 0.923880i) q^{81} +(3.30470 - 12.8675i) q^{82} +(-5.32161 + 6.48441i) q^{83} +(1.41619 + 0.970860i) q^{84} +(-1.40500 - 4.63167i) q^{85} +(-10.0484 - 1.55174i) q^{86} +(0.785780 - 0.156301i) q^{87} +(3.28917 + 0.886628i) q^{88} +(-0.166186 + 0.835474i) q^{89} +(-1.15426 - 2.47856i) q^{90} +(1.29310 + 1.57565i) q^{91} +(-1.34697 + 1.60200i) q^{92} +(-2.65705 + 1.42022i) q^{93} +(9.35733 + 0.515569i) q^{94} +(10.3050 - 10.3050i) q^{95} +(4.64193 - 3.23303i) q^{96} +(-11.0074 - 11.0074i) q^{97} +(5.90892 + 6.59803i) q^{98} +(-0.567753 - 1.06219i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q+O(q^{10}) \) Copy content Toggle raw display \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{32}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.612256 + 1.27481i −0.432931 + 0.901427i
\(3\) −0.290285 + 0.956940i −0.167596 + 0.552490i
\(4\) −1.25028 1.56102i −0.625142 0.780511i
\(5\) 0.189500 1.92402i 0.0847469 0.860450i −0.855011 0.518610i \(-0.826450\pi\)
0.939758 0.341840i \(-0.111050\pi\)
\(6\) −1.04219 0.955951i −0.425472 0.390265i
\(7\) 0.476963 + 0.713825i 0.180275 + 0.269801i 0.910591 0.413309i \(-0.135627\pi\)
−0.730316 + 0.683110i \(0.760627\pi\)
\(8\) 2.75550 0.638130i 0.974217 0.225613i
\(9\) −0.831470 0.555570i −0.277157 0.185190i
\(10\) 2.33674 + 1.41957i 0.738944 + 0.448908i
\(11\) 1.06219 + 0.567753i 0.320263 + 0.171184i 0.623692 0.781670i \(-0.285632\pi\)
−0.303430 + 0.952854i \(0.598132\pi\)
\(12\) 1.85674 0.743307i 0.535996 0.214574i
\(13\) 2.36283 0.232719i 0.655332 0.0645445i 0.235114 0.971968i \(-0.424454\pi\)
0.420218 + 0.907423i \(0.361954\pi\)
\(14\) −1.20202 + 0.170993i −0.321252 + 0.0456998i
\(15\) 1.78617 + 0.739855i 0.461187 + 0.191030i
\(16\) −0.873578 + 3.90344i −0.218395 + 0.975861i
\(17\) 2.31292 0.958043i 0.560966 0.232360i −0.0841386 0.996454i \(-0.526814\pi\)
0.645104 + 0.764094i \(0.276814\pi\)
\(18\) 1.21732 0.719815i 0.286925 0.169662i
\(19\) 5.82696 + 4.78206i 1.33680 + 1.09708i 0.987081 + 0.160223i \(0.0512214\pi\)
0.349714 + 0.936856i \(0.386279\pi\)
\(20\) −3.24037 + 2.10976i −0.724569 + 0.471758i
\(21\) −0.821543 + 0.249212i −0.179275 + 0.0543826i
\(22\) −1.37411 + 1.00648i −0.292961 + 0.214583i
\(23\) −0.204164 1.02640i −0.0425711 0.214019i 0.953645 0.300935i \(-0.0972989\pi\)
−0.996216 + 0.0869159i \(0.972299\pi\)
\(24\) −0.189227 + 2.82209i −0.0386259 + 0.576057i
\(25\) 1.23797 + 0.246247i 0.247593 + 0.0492493i
\(26\) −1.14999 + 3.15465i −0.225531 + 0.618677i
\(27\) 0.773010 0.634393i 0.148766 0.122089i
\(28\) 0.517958 1.63703i 0.0978848 0.309370i
\(29\) −0.377671 0.706573i −0.0701317 0.131207i 0.844412 0.535694i \(-0.179950\pi\)
−0.914544 + 0.404487i \(0.867450\pi\)
\(30\) −2.03677 + 1.82404i −0.371861 + 0.333024i
\(31\) 2.13037 + 2.13037i 0.382626 + 0.382626i 0.872047 0.489421i \(-0.162792\pi\)
−0.489421 + 0.872047i \(0.662792\pi\)
\(32\) −4.44130 3.50355i −0.785118 0.619347i
\(33\) −0.851643 + 0.851643i −0.148252 + 0.148252i
\(34\) −0.194777 + 3.53511i −0.0334040 + 0.606266i
\(35\) 1.46380 0.782418i 0.247428 0.132253i
\(36\) 0.172316 + 1.99256i 0.0287194 + 0.332094i
\(37\) −0.783750 0.955002i −0.128848 0.157001i 0.704590 0.709614i \(-0.251131\pi\)
−0.833438 + 0.552613i \(0.813631\pi\)
\(38\) −9.66381 + 4.50042i −1.56768 + 0.730064i
\(39\) −0.463196 + 2.32864i −0.0741707 + 0.372881i
\(40\) −0.705611 5.42258i −0.111567 0.857385i
\(41\) −9.21349 + 1.83268i −1.43891 + 0.286216i −0.852043 0.523471i \(-0.824637\pi\)
−0.586862 + 0.809687i \(0.699637\pi\)
\(42\) 0.185296 1.19989i 0.0285918 0.185148i
\(43\) 2.08700 + 6.87991i 0.318264 + 1.04918i 0.959471 + 0.281808i \(0.0909341\pi\)
−0.641207 + 0.767368i \(0.721566\pi\)
\(44\) −0.441766 2.36796i −0.0665987 0.356983i
\(45\) −1.22649 + 1.49449i −0.182835 + 0.222785i
\(46\) 1.43347 + 0.368150i 0.211353 + 0.0542808i
\(47\) −2.53591 6.12224i −0.369901 0.893020i −0.993766 0.111488i \(-0.964438\pi\)
0.623865 0.781532i \(-0.285562\pi\)
\(48\) −3.48177 1.96907i −0.502551 0.284211i
\(49\) 2.39673 5.78622i 0.342390 0.826603i
\(50\) −1.07187 + 1.42741i −0.151585 + 0.201866i
\(51\) 0.245385 + 2.49143i 0.0343607 + 0.348870i
\(52\) −3.31749 3.39747i −0.460053 0.471144i
\(53\) 1.02350 1.91484i 0.140589 0.263023i −0.801766 0.597638i \(-0.796106\pi\)
0.942355 + 0.334615i \(0.108606\pi\)
\(54\) 0.335451 + 1.37385i 0.0456491 + 0.186958i
\(55\) 1.29366 1.93609i 0.174436 0.261063i
\(56\) 1.76978 + 1.66258i 0.236497 + 0.222172i
\(57\) −6.26762 + 4.18789i −0.830167 + 0.554700i
\(58\) 1.13198 0.0488553i 0.148636 0.00641502i
\(59\) 4.98169 + 0.490653i 0.648560 + 0.0638776i 0.416948 0.908930i \(-0.363100\pi\)
0.231613 + 0.972808i \(0.425600\pi\)
\(60\) −1.07829 3.71328i −0.139206 0.479382i
\(61\) 4.04828 + 1.22803i 0.518330 + 0.157234i 0.538601 0.842561i \(-0.318953\pi\)
−0.0202714 + 0.999795i \(0.506453\pi\)
\(62\) −4.02015 + 1.41149i −0.510560 + 0.179259i
\(63\) 0.858510i 0.108162i
\(64\) 7.18558 3.51674i 0.898197 0.439592i
\(65\) 4.59025i 0.569350i
\(66\) −0.564260 1.60711i −0.0694556 0.197821i
\(67\) 3.74011 + 1.13455i 0.456927 + 0.138607i 0.510354 0.859964i \(-0.329514\pi\)
−0.0534268 + 0.998572i \(0.517014\pi\)
\(68\) −4.38734 2.41269i −0.532043 0.292582i
\(69\) 1.04147 + 0.102576i 0.125378 + 0.0123487i
\(70\) 0.101213 + 2.34511i 0.0120973 + 0.280294i
\(71\) 13.0171 8.69775i 1.54485 1.03223i 0.566797 0.823858i \(-0.308182\pi\)
0.978049 0.208375i \(-0.0668175\pi\)
\(72\) −2.64564 1.00029i −0.311792 0.117885i
\(73\) −2.96864 + 4.44289i −0.347453 + 0.520001i −0.963500 0.267709i \(-0.913733\pi\)
0.616046 + 0.787710i \(0.288733\pi\)
\(74\) 1.69730 0.414427i 0.197307 0.0481761i
\(75\) −0.595006 + 1.11318i −0.0687054 + 0.128539i
\(76\) 0.179547 15.0749i 0.0205955 1.72921i
\(77\) 0.101349 + 1.02902i 0.0115498 + 0.117267i
\(78\) −2.68499 2.01621i −0.304015 0.228291i
\(79\) 2.08586 5.03571i 0.234678 0.566562i −0.762039 0.647531i \(-0.775802\pi\)
0.996717 + 0.0809692i \(0.0258015\pi\)
\(80\) 7.34478 + 2.42049i 0.821171 + 0.270619i
\(81\) 0.382683 + 0.923880i 0.0425204 + 0.102653i
\(82\) 3.30470 12.8675i 0.364943 1.42098i
\(83\) −5.32161 + 6.48441i −0.584123 + 0.711756i −0.978280 0.207287i \(-0.933537\pi\)
0.394157 + 0.919043i \(0.371037\pi\)
\(84\) 1.41619 + 0.970860i 0.154519 + 0.105930i
\(85\) −1.40500 4.63167i −0.152394 0.502375i
\(86\) −10.0484 1.55174i −1.08354 0.167329i
\(87\) 0.785780 0.156301i 0.0842444 0.0167573i
\(88\) 3.28917 + 0.886628i 0.350627 + 0.0945148i
\(89\) −0.166186 + 0.835474i −0.0176157 + 0.0885601i −0.988593 0.150611i \(-0.951876\pi\)
0.970977 + 0.239171i \(0.0768758\pi\)
\(90\) −1.15426 2.47856i −0.121670 0.261263i
\(91\) 1.29310 + 1.57565i 0.135554 + 0.165173i
\(92\) −1.34697 + 1.60200i −0.140432 + 0.167020i
\(93\) −2.65705 + 1.42022i −0.275524 + 0.147270i
\(94\) 9.35733 + 0.515569i 0.965134 + 0.0531769i
\(95\) 10.3050 10.3050i 1.05727 1.05727i
\(96\) 4.64193 3.23303i 0.473765 0.329969i
\(97\) −11.0074 11.0074i −1.11763 1.11763i −0.992088 0.125547i \(-0.959931\pi\)
−0.125547 0.992088i \(-0.540069\pi\)
\(98\) 5.90892 + 6.59803i 0.596891 + 0.666502i
\(99\) −0.567753 1.06219i −0.0570613 0.106754i
\(100\) −1.16341 2.24037i −0.116341 0.224037i
\(101\) −3.79676 + 3.11592i −0.377791 + 0.310045i −0.804057 0.594553i \(-0.797329\pi\)
0.426265 + 0.904598i \(0.359829\pi\)
\(102\) −3.32634 1.21258i −0.329357 0.120063i
\(103\) −8.67332 1.72523i −0.854608 0.169992i −0.251702 0.967805i \(-0.580990\pi\)
−0.602905 + 0.797813i \(0.705990\pi\)
\(104\) 6.36228 2.14905i 0.623873 0.210732i
\(105\) 0.323808 + 1.62789i 0.0316005 + 0.158866i
\(106\) 1.81441 + 2.47714i 0.176231 + 0.240601i
\(107\) −10.3395 + 3.13647i −0.999562 + 0.303214i −0.747330 0.664453i \(-0.768665\pi\)
−0.252232 + 0.967667i \(0.581165\pi\)
\(108\) −1.95678 0.413514i −0.188292 0.0397904i
\(109\) 3.81639 + 3.13203i 0.365544 + 0.299994i 0.799177 0.601095i \(-0.205269\pi\)
−0.433634 + 0.901089i \(0.642769\pi\)
\(110\) 1.67610 + 2.83455i 0.159810 + 0.270264i
\(111\) 1.14139 0.472779i 0.108336 0.0448742i
\(112\) −3.20304 + 1.23821i −0.302659 + 0.117000i
\(113\) 11.9507 + 4.95014i 1.12423 + 0.465670i 0.865815 0.500365i \(-0.166801\pi\)
0.258412 + 0.966035i \(0.416801\pi\)
\(114\) −1.50138 10.5541i −0.140617 0.988481i
\(115\) −2.01351 + 0.198313i −0.187761 + 0.0184928i
\(116\) −0.630779 + 1.47297i −0.0585664 + 0.136762i
\(117\) −2.09391 1.11922i −0.193582 0.103472i
\(118\) −3.67556 + 6.05030i −0.338363 + 0.556975i
\(119\) 1.78705 + 1.19407i 0.163819 + 0.109460i
\(120\) 5.39391 + 0.898864i 0.492395 + 0.0820547i
\(121\) −5.30537 7.94004i −0.482306 0.721822i
\(122\) −4.04410 + 4.40892i −0.366135 + 0.399165i
\(123\) 0.920772 9.34876i 0.0830232 0.842949i
\(124\) 0.661986 5.98913i 0.0594481 0.537839i
\(125\) 3.51447 11.5856i 0.314343 1.03625i
\(126\) 1.09444 + 0.525628i 0.0975003 + 0.0468267i
\(127\) −17.7242 −1.57277 −0.786386 0.617736i \(-0.788050\pi\)
−0.786386 + 0.617736i \(0.788050\pi\)
\(128\) 0.0837580 + 11.3134i 0.00740323 + 0.999973i
\(129\) −7.18948 −0.632999
\(130\) 5.85170 + 2.81041i 0.513228 + 0.246489i
\(131\) −1.34537 + 4.43510i −0.117546 + 0.387497i −0.995894 0.0905244i \(-0.971146\pi\)
0.878348 + 0.478021i \(0.158646\pi\)
\(132\) 2.39423 + 0.264637i 0.208391 + 0.0230337i
\(133\) −0.634313 + 6.44029i −0.0550019 + 0.558444i
\(134\) −3.73624 + 4.07330i −0.322762 + 0.351879i
\(135\) −1.07410 1.60751i −0.0924441 0.138352i
\(136\) 5.76190 4.11584i 0.494079 0.352930i
\(137\) −17.8468 11.9249i −1.52476 1.01881i −0.984110 0.177559i \(-0.943180\pi\)
−0.540646 0.841250i \(-0.681820\pi\)
\(138\) −0.768412 + 1.26487i −0.0654116 + 0.107673i
\(139\) −6.58190 3.51810i −0.558269 0.298401i 0.168028 0.985782i \(-0.446260\pi\)
−0.726297 + 0.687381i \(0.758760\pi\)
\(140\) −3.05154 1.30678i −0.257902 0.110443i
\(141\) 6.59475 0.649527i 0.555379 0.0547000i
\(142\) 3.11818 + 21.9196i 0.261672 + 1.83945i
\(143\) 2.64191 + 1.09431i 0.220927 + 0.0915110i
\(144\) 2.89499 2.76026i 0.241249 0.230022i
\(145\) −1.43103 + 0.592753i −0.118841 + 0.0492254i
\(146\) −3.84627 6.50464i −0.318320 0.538328i
\(147\) 4.84133 + 3.97318i 0.399306 + 0.327702i
\(148\) −0.510869 + 2.41747i −0.0419932 + 0.198715i
\(149\) −9.28237 + 2.81577i −0.760441 + 0.230677i −0.646608 0.762823i \(-0.723813\pi\)
−0.113833 + 0.993500i \(0.536313\pi\)
\(150\) −1.05479 1.44007i −0.0861236 0.117581i
\(151\) 3.71798 + 18.6915i 0.302565 + 1.52109i 0.770562 + 0.637365i \(0.219976\pi\)
−0.467998 + 0.883730i \(0.655024\pi\)
\(152\) 19.1078 + 9.45861i 1.54984 + 0.767195i
\(153\) −2.45538 0.488406i −0.198506 0.0394853i
\(154\) −1.37385 0.500820i −0.110708 0.0403572i
\(155\) 4.50259 3.69518i 0.361657 0.296804i
\(156\) 4.21419 2.18841i 0.337405 0.175213i
\(157\) 5.44340 + 10.1839i 0.434430 + 0.812762i 0.999928 0.0119877i \(-0.00381589\pi\)
−0.565498 + 0.824750i \(0.691316\pi\)
\(158\) 5.14250 + 5.74223i 0.409115 + 0.456827i
\(159\) 1.53528 + 1.53528i 0.121755 + 0.121755i
\(160\) −7.58255 + 7.88124i −0.599453 + 0.623067i
\(161\) 0.635292 0.635292i 0.0500681 0.0500681i
\(162\) −1.41207 0.0778022i −0.110943 0.00611272i
\(163\) −11.4695 + 6.13055i −0.898357 + 0.480182i −0.854852 0.518871i \(-0.826352\pi\)
−0.0435049 + 0.999053i \(0.513852\pi\)
\(164\) 14.3803 + 12.0911i 1.12292 + 0.944155i
\(165\) 1.47720 + 1.79997i 0.115000 + 0.140127i
\(166\) −5.00820 10.7542i −0.388711 0.834685i
\(167\) 1.88679 9.48552i 0.146004 0.734012i −0.836529 0.547923i \(-0.815419\pi\)
0.982533 0.186089i \(-0.0595812\pi\)
\(168\) −2.10473 + 1.21096i −0.162384 + 0.0934273i
\(169\) −7.22139 + 1.43642i −0.555492 + 0.110494i
\(170\) 6.76472 + 1.04466i 0.518830 + 0.0801216i
\(171\) −2.18817 7.21342i −0.167333 0.551624i
\(172\) 8.13034 11.8597i 0.619933 0.904293i
\(173\) −3.32777 + 4.05490i −0.253006 + 0.308288i −0.883989 0.467508i \(-0.845152\pi\)
0.630983 + 0.775797i \(0.282652\pi\)
\(174\) −0.281844 + 1.09742i −0.0213665 + 0.0831950i
\(175\) 0.414686 + 1.00114i 0.0313473 + 0.0756792i
\(176\) −3.14410 + 3.65022i −0.236995 + 0.275146i
\(177\) −1.91563 + 4.62475i −0.143988 + 0.347617i
\(178\) −0.963323 0.723380i −0.0722041 0.0542196i
\(179\) 1.24971 + 12.6886i 0.0934080 + 0.948387i 0.921652 + 0.388019i \(0.126840\pi\)
−0.828244 + 0.560368i \(0.810660\pi\)
\(180\) 3.86639 + 0.0460499i 0.288184 + 0.00343236i
\(181\) 10.8003 20.2060i 0.802781 1.50190i −0.0610610 0.998134i \(-0.519448\pi\)
0.863842 0.503763i \(-0.168052\pi\)
\(182\) −2.80037 + 0.683759i −0.207577 + 0.0506836i
\(183\) −2.35031 + 3.51749i −0.173740 + 0.260020i
\(184\) −1.21755 2.69797i −0.0897591 0.198897i
\(185\) −1.98597 + 1.32698i −0.146011 + 0.0975616i
\(186\) −0.183720 4.25678i −0.0134710 0.312122i
\(187\) 3.00070 + 0.295543i 0.219433 + 0.0216122i
\(188\) −6.38633 + 11.6132i −0.465771 + 0.846977i
\(189\) 0.821543 + 0.249212i 0.0597585 + 0.0181275i
\(190\) 6.82763 + 19.4462i 0.495328 + 1.41078i
\(191\) 14.4522i 1.04573i −0.852417 0.522863i \(-0.824864\pi\)
0.852417 0.522863i \(-0.175136\pi\)
\(192\) 1.27944 + 7.89703i 0.0923360 + 0.569919i
\(193\) 8.31344i 0.598414i −0.954188 0.299207i \(-0.903278\pi\)
0.954188 0.299207i \(-0.0967222\pi\)
\(194\) 20.7717 7.29302i 1.49132 0.523608i
\(195\) 4.39259 + 1.33248i 0.314560 + 0.0954208i
\(196\) −12.0290 + 3.49307i −0.859215 + 0.249505i
\(197\) −1.80037 0.177321i −0.128271 0.0126336i 0.0336777 0.999433i \(-0.489278\pi\)
−0.161949 + 0.986799i \(0.551778\pi\)
\(198\) 1.70170 0.0734443i 0.120935 0.00521946i
\(199\) 1.95970 1.30943i 0.138919 0.0928228i −0.484169 0.874975i \(-0.660878\pi\)
0.623088 + 0.782152i \(0.285878\pi\)
\(200\) 3.56835 0.111450i 0.252321 0.00788072i
\(201\) −2.17139 + 3.24972i −0.153158 + 0.229218i
\(202\) −1.64762 6.74789i −0.115926 0.474780i
\(203\) 0.324234 0.606600i 0.0227568 0.0425749i
\(204\) 3.58238 3.49805i 0.250817 0.244913i
\(205\) 1.78016 + 18.0743i 0.124332 + 1.26236i
\(206\) 7.50964 10.0006i 0.523221 0.696772i
\(207\) −0.400482 + 0.966849i −0.0278354 + 0.0672006i
\(208\) −1.15572 + 9.42648i −0.0801344 + 0.653609i
\(209\) 3.47431 + 8.38773i 0.240323 + 0.580191i
\(210\) −2.27351 0.583894i −0.156887 0.0402925i
\(211\) −17.3488 + 21.1395i −1.19434 + 1.45531i −0.336275 + 0.941764i \(0.609167\pi\)
−0.858064 + 0.513543i \(0.828333\pi\)
\(212\) −4.26877 + 0.796382i −0.293180 + 0.0546957i
\(213\) 4.54456 + 14.9814i 0.311388 + 1.02651i
\(214\) 2.33205 15.1013i 0.159416 1.03230i
\(215\) 13.6326 2.71169i 0.929735 0.184936i
\(216\) 1.72521 2.24135i 0.117385 0.152505i
\(217\) −0.504605 + 2.53682i −0.0342548 + 0.172211i
\(218\) −6.32935 + 2.94757i −0.428678 + 0.199634i
\(219\) −3.38983 4.13052i −0.229063 0.279114i
\(220\) −4.63972 + 0.401241i −0.312810 + 0.0270517i
\(221\) 5.24209 2.80196i 0.352621 0.188480i
\(222\) −0.0961193 + 1.74452i −0.00645111 + 0.117084i
\(223\) −11.5721 + 11.5721i −0.774928 + 0.774928i −0.978963 0.204036i \(-0.934594\pi\)
0.204036 + 0.978963i \(0.434594\pi\)
\(224\) 0.382593 4.84137i 0.0255630 0.323478i
\(225\) −0.892524 0.892524i −0.0595016 0.0595016i
\(226\) −13.6274 + 12.2041i −0.906480 + 0.811806i
\(227\) 1.52619 + 2.85531i 0.101297 + 0.189513i 0.927465 0.373911i \(-0.121984\pi\)
−0.826167 + 0.563425i \(0.809484\pi\)
\(228\) 14.3737 + 4.54784i 0.951921 + 0.301188i
\(229\) 8.98251 7.37175i 0.593581 0.487139i −0.288982 0.957335i \(-0.593317\pi\)
0.882562 + 0.470196i \(0.155817\pi\)
\(230\) 0.979973 2.68826i 0.0646175 0.177259i
\(231\) −1.01413 0.201722i −0.0667246 0.0132724i
\(232\) −1.49156 1.70596i −0.0979256 0.112002i
\(233\) 4.81874 + 24.2254i 0.315686 + 1.58706i 0.734254 + 0.678875i \(0.237532\pi\)
−0.418568 + 0.908186i \(0.637468\pi\)
\(234\) 2.70881 1.98409i 0.177080 0.129704i
\(235\) −12.2599 + 3.71900i −0.799747 + 0.242601i
\(236\) −5.46260 8.38998i −0.355585 0.546141i
\(237\) 4.21338 + 3.45784i 0.273689 + 0.224611i
\(238\) −2.61635 + 1.54708i −0.169593 + 0.100282i
\(239\) −22.0976 + 9.15310i −1.42937 + 0.592065i −0.957196 0.289439i \(-0.906531\pi\)
−0.472175 + 0.881505i \(0.656531\pi\)
\(240\) −4.44834 + 6.32588i −0.287139 + 0.408334i
\(241\) 10.8791 + 4.50628i 0.700786 + 0.290275i 0.704486 0.709718i \(-0.251178\pi\)
−0.00369982 + 0.999993i \(0.501178\pi\)
\(242\) 13.3703 1.90200i 0.859475 0.122265i
\(243\) −0.995185 + 0.0980171i −0.0638411 + 0.00628780i
\(244\) −3.14452 7.85485i −0.201307 0.502855i
\(245\) −10.6787 5.70786i −0.682234 0.364662i
\(246\) 11.3541 + 6.89765i 0.723914 + 0.439778i
\(247\) 14.8810 + 9.94316i 0.946855 + 0.632668i
\(248\) 7.22970 + 4.51079i 0.459086 + 0.286435i
\(249\) −4.66041 6.97479i −0.295341 0.442009i
\(250\) 12.6177 + 11.5737i 0.798016 + 0.731983i
\(251\) 0.669459 6.79713i 0.0422559 0.429031i −0.950662 0.310229i \(-0.899594\pi\)
0.992918 0.118803i \(-0.0379056\pi\)
\(252\) −1.34015 + 1.07338i −0.0844217 + 0.0676167i
\(253\) 0.365881 1.20615i 0.0230028 0.0758299i
\(254\) 10.8518 22.5950i 0.680901 1.41774i
\(255\) 4.84008 0.303098
\(256\) −14.4737 6.81992i −0.904608 0.426245i
\(257\) −9.48295 −0.591530 −0.295765 0.955261i \(-0.595575\pi\)
−0.295765 + 0.955261i \(0.595575\pi\)
\(258\) 4.40181 9.16523i 0.274045 0.570602i
\(259\) 0.307885 1.01496i 0.0191310 0.0630666i
\(260\) −7.16548 + 5.73911i −0.444384 + 0.355925i
\(261\) −0.0785288 + 0.797316i −0.00486081 + 0.0493526i
\(262\) −4.83020 4.43052i −0.298411 0.273718i
\(263\) −2.10764 3.15430i −0.129963 0.194503i 0.760781 0.649008i \(-0.224816\pi\)
−0.890744 + 0.454506i \(0.849816\pi\)
\(264\) −1.80325 + 2.89016i −0.110982 + 0.177877i
\(265\) −3.49024 2.33210i −0.214404 0.143260i
\(266\) −7.82179 4.75174i −0.479585 0.291348i
\(267\) −0.751257 0.401555i −0.0459762 0.0245748i
\(268\) −2.90514 7.25690i −0.177460 0.443286i
\(269\) 21.9416 2.16106i 1.33780 0.131762i 0.596327 0.802742i \(-0.296626\pi\)
0.741476 + 0.670980i \(0.234126\pi\)
\(270\) 2.70690 0.385070i 0.164736 0.0234346i
\(271\) −25.5722 10.5924i −1.55340 0.643440i −0.569475 0.822009i \(-0.692854\pi\)
−0.983928 + 0.178568i \(0.942854\pi\)
\(272\) 1.71915 + 9.86528i 0.104239 + 0.598171i
\(273\) −1.88317 + 0.780035i −0.113975 + 0.0472099i
\(274\) 26.1288 15.4502i 1.57850 0.933383i
\(275\) 1.17515 + 0.964419i 0.0708641 + 0.0581567i
\(276\) −1.14201 1.75401i −0.0687410 0.105579i
\(277\) 26.7157 8.10412i 1.60519 0.486930i 0.644513 0.764593i \(-0.277060\pi\)
0.960678 + 0.277664i \(0.0895601\pi\)
\(278\) 8.51471 6.23669i 0.510679 0.374052i
\(279\) −0.587768 2.95491i −0.0351888 0.176906i
\(280\) 3.53422 3.09005i 0.211210 0.184666i
\(281\) 9.01383 + 1.79296i 0.537720 + 0.106959i 0.456477 0.889735i \(-0.349111\pi\)
0.0812429 + 0.996694i \(0.474111\pi\)
\(282\) −3.20966 + 8.80474i −0.191132 + 0.524315i
\(283\) 6.03263 4.95085i 0.358603 0.294298i −0.437790 0.899077i \(-0.644239\pi\)
0.796393 + 0.604779i \(0.206739\pi\)
\(284\) −29.8525 9.44532i −1.77142 0.560477i
\(285\) 6.86989 + 12.8527i 0.406937 + 0.761326i
\(286\) −3.01257 + 2.69793i −0.178137 + 0.159532i
\(287\) −5.70270 5.70270i −0.336620 0.336620i
\(288\) 1.74633 + 5.38055i 0.102904 + 0.317052i
\(289\) −7.58906 + 7.58906i −0.446415 + 0.446415i
\(290\) 0.120511 2.18721i 0.00707663 0.128437i
\(291\) 13.7287 7.33816i 0.804793 0.430171i
\(292\) 10.6471 0.920757i 0.623074 0.0538832i
\(293\) −2.57738 3.14055i −0.150572 0.183473i 0.692262 0.721647i \(-0.256614\pi\)
−0.842834 + 0.538174i \(0.819114\pi\)
\(294\) −8.02919 + 3.73918i −0.468272 + 0.218073i
\(295\) 1.88806 9.49191i 0.109927 0.552640i
\(296\) −2.76904 2.13138i −0.160947 0.123884i
\(297\) 1.18126 0.234968i 0.0685438 0.0136342i
\(298\) 2.09361 13.5572i 0.121279 0.785350i
\(299\) −0.721268 2.37770i −0.0417120 0.137506i
\(300\) 2.48162 0.462971i 0.143276 0.0267297i
\(301\) −3.91563 + 4.77121i −0.225693 + 0.275008i
\(302\) −26.1045 6.70429i −1.50215 0.385789i
\(303\) −1.87961 4.53777i −0.107981 0.260688i
\(304\) −23.7568 + 18.5677i −1.36255 + 1.06493i
\(305\) 3.12992 7.55629i 0.179218 0.432672i
\(306\) 2.12595 2.83112i 0.121532 0.161844i
\(307\) −1.16290 11.8071i −0.0663704 0.673870i −0.969597 0.244706i \(-0.921308\pi\)
0.903227 0.429163i \(-0.141192\pi\)
\(308\) 1.47960 1.44477i 0.0843080 0.0823234i
\(309\) 4.16868 7.79904i 0.237148 0.443672i
\(310\) 1.95392 + 8.00235i 0.110975 + 0.454503i
\(311\) 3.08544 4.61769i 0.174959 0.261845i −0.733618 0.679562i \(-0.762170\pi\)
0.908577 + 0.417717i \(0.137170\pi\)
\(312\) 0.209640 + 6.71216i 0.0118686 + 0.380001i
\(313\) 9.28404 6.20339i 0.524765 0.350637i −0.264801 0.964303i \(-0.585306\pi\)
0.789565 + 0.613667i \(0.210306\pi\)
\(314\) −16.3153 + 0.704156i −0.920724 + 0.0397378i
\(315\) −1.65179 0.162688i −0.0930681 0.00916641i
\(316\) −10.4688 + 3.04000i −0.588915 + 0.171013i
\(317\) −29.8999 9.07003i −1.67934 0.509424i −0.700435 0.713716i \(-0.747011\pi\)
−0.978910 + 0.204293i \(0.934511\pi\)
\(318\) −2.89717 + 1.01720i −0.162465 + 0.0570420i
\(319\) 0.964938i 0.0540262i
\(320\) −5.40462 14.4917i −0.302128 0.810108i
\(321\) 10.8048i 0.603065i
\(322\) 0.420916 + 1.19884i 0.0234567 + 0.0668087i
\(323\) 18.0587 + 5.47805i 1.00481 + 0.304807i
\(324\) 0.963733 1.75249i 0.0535407 0.0973605i
\(325\) 2.98241 + 0.293742i 0.165434 + 0.0162939i
\(326\) −0.793046 18.3749i −0.0439227 1.01769i
\(327\) −4.10500 + 2.74287i −0.227007 + 0.151681i
\(328\) −24.2183 + 10.9293i −1.33723 + 0.603472i
\(329\) 3.16067 4.73028i 0.174253 0.260789i
\(330\) −3.19904 + 0.781103i −0.176101 + 0.0429983i
\(331\) 10.0571 18.8155i 0.552788 1.03419i −0.438026 0.898962i \(-0.644322\pi\)
0.990814 0.135232i \(-0.0431779\pi\)
\(332\) 16.7758 + 0.199805i 0.920693 + 0.0109657i
\(333\) 0.121094 + 1.22948i 0.00663588 + 0.0673753i
\(334\) 10.9370 + 8.21287i 0.598449 + 0.449388i
\(335\) 2.89165 6.98107i 0.157988 0.381416i
\(336\) −0.255104 3.42455i −0.0139171 0.186825i
\(337\) −11.1873 27.0084i −0.609409 1.47124i −0.863645 0.504101i \(-0.831824\pi\)
0.254236 0.967142i \(-0.418176\pi\)
\(338\) 2.59017 10.0854i 0.140887 0.548572i
\(339\) −8.20609 + 9.99915i −0.445694 + 0.543079i
\(340\) −5.47348 + 7.98414i −0.296841 + 0.433001i
\(341\) 1.05334 + 3.47239i 0.0570414 + 0.188040i
\(342\) 10.5355 + 1.62696i 0.569693 + 0.0879761i
\(343\) 11.1676 2.22137i 0.602994 0.119943i
\(344\) 10.1410 + 17.6258i 0.546766 + 0.950320i
\(345\) 0.394717 1.98438i 0.0212509 0.106835i
\(346\) −3.13178 6.72491i −0.168366 0.361534i
\(347\) −0.885524 1.07901i −0.0475374 0.0579245i 0.748699 0.662910i \(-0.230679\pi\)
−0.796236 + 0.604986i \(0.793179\pi\)
\(348\) −1.22644 1.03120i −0.0657440 0.0552780i
\(349\) 15.4992 8.28449i 0.829653 0.443459i −0.00116777 0.999999i \(-0.500372\pi\)
0.830820 + 0.556541i \(0.187872\pi\)
\(350\) −1.53016 0.0843086i −0.0817905 0.00450649i
\(351\) 1.67886 1.67886i 0.0896109 0.0896109i
\(352\) −2.72835 6.24300i −0.145422 0.332753i
\(353\) 22.1434 + 22.1434i 1.17858 + 1.17858i 0.980107 + 0.198468i \(0.0635965\pi\)
0.198468 + 0.980107i \(0.436404\pi\)
\(354\) −4.72282 5.27360i −0.251015 0.280289i
\(355\) −14.2679 26.6934i −0.757264 1.41674i
\(356\) 1.51197 0.785160i 0.0801344 0.0416134i
\(357\) −1.66141 + 1.36348i −0.0879310 + 0.0721631i
\(358\) −16.9406 6.17550i −0.895341 0.326385i
\(359\) −8.13745 1.61864i −0.429478 0.0854285i −0.0243822 0.999703i \(-0.507762\pi\)
−0.405096 + 0.914274i \(0.632762\pi\)
\(360\) −2.42593 + 4.90073i −0.127858 + 0.258291i
\(361\) 7.37861 + 37.0948i 0.388348 + 1.95236i
\(362\) 19.1462 + 26.1396i 1.00630 + 1.37387i
\(363\) 9.13821 2.77205i 0.479632 0.145495i
\(364\) 0.842879 3.98857i 0.0441788 0.209058i
\(365\) 7.98567 + 6.55367i 0.417989 + 0.343035i
\(366\) −3.04514 5.14980i −0.159172 0.269185i
\(367\) −21.2161 + 8.78798i −1.10747 + 0.458729i −0.860066 0.510183i \(-0.829578\pi\)
−0.247404 + 0.968912i \(0.579578\pi\)
\(368\) 4.18485 + 0.0996998i 0.218150 + 0.00519721i
\(369\) 8.67892 + 3.59492i 0.451806 + 0.187144i
\(370\) −0.475728 3.34419i −0.0247319 0.173856i
\(371\) 1.85503 0.182705i 0.0963084 0.00948555i
\(372\) 5.53907 + 2.37203i 0.287188 + 0.122984i
\(373\) −5.64765 3.01873i −0.292424 0.156304i 0.318661 0.947869i \(-0.396767\pi\)
−0.611085 + 0.791565i \(0.709267\pi\)
\(374\) −2.21396 + 3.64437i −0.114481 + 0.188446i
\(375\) 10.0666 + 6.72627i 0.519835 + 0.347343i
\(376\) −10.8945 15.2516i −0.561841 0.786541i
\(377\) −1.05681 1.58162i −0.0544283 0.0814576i
\(378\) −0.820693 + 0.894730i −0.0422119 + 0.0460199i
\(379\) −0.646335 + 6.56234i −0.0332000 + 0.337085i 0.964209 + 0.265144i \(0.0854194\pi\)
−0.997409 + 0.0719413i \(0.977081\pi\)
\(380\) −28.9705 3.20215i −1.48616 0.164267i
\(381\) 5.14507 16.9610i 0.263590 0.868940i
\(382\) 18.4238 + 8.84846i 0.942645 + 0.452726i
\(383\) −20.4199 −1.04341 −0.521704 0.853127i \(-0.674703\pi\)
−0.521704 + 0.853127i \(0.674703\pi\)
\(384\) −10.8506 3.20395i −0.553715 0.163501i
\(385\) 1.99906 0.101881
\(386\) 10.5981 + 5.08995i 0.539427 + 0.259072i
\(387\) 2.08700 6.87991i 0.106088 0.349725i
\(388\) −3.42042 + 30.9452i −0.173645 + 1.57101i
\(389\) −0.101027 + 1.02575i −0.00512228 + 0.0520074i −0.997406 0.0719800i \(-0.977068\pi\)
0.992284 + 0.123987i \(0.0395682\pi\)
\(390\) −4.38805 + 4.78391i −0.222198 + 0.242242i
\(391\) −1.45555 2.17839i −0.0736104 0.110166i
\(392\) 2.91183 17.4734i 0.147070 0.882538i
\(393\) −3.85359 2.57488i −0.194388 0.129886i
\(394\) 1.32834 2.18657i 0.0669209 0.110158i
\(395\) −9.29357 4.96752i −0.467610 0.249943i
\(396\) −0.948251 + 2.21431i −0.0476514 + 0.111274i
\(397\) −3.28254 + 0.323302i −0.164746 + 0.0162260i −0.180054 0.983657i \(-0.557627\pi\)
0.0153079 + 0.999883i \(0.495127\pi\)
\(398\) 0.469435 + 3.29995i 0.0235307 + 0.165411i
\(399\) −5.97884 2.47652i −0.299316 0.123981i
\(400\) −2.04267 + 4.61721i −0.102133 + 0.230861i
\(401\) 32.1087 13.2999i 1.60343 0.664163i 0.611535 0.791217i \(-0.290552\pi\)
0.991896 + 0.127054i \(0.0405523\pi\)
\(402\) −2.81333 4.75778i −0.140316 0.237296i
\(403\) 5.52949 + 4.53793i 0.275443 + 0.226051i
\(404\) 9.61104 + 2.03104i 0.478167 + 0.101048i
\(405\) 1.85009 0.561217i 0.0919315 0.0278871i
\(406\) 0.574785 + 0.784732i 0.0285261 + 0.0389456i
\(407\) −0.290287 1.45937i −0.0143890 0.0723383i
\(408\) 2.26602 + 6.70856i 0.112185 + 0.332123i
\(409\) 18.1535 + 3.61096i 0.897633 + 0.178550i 0.622282 0.782793i \(-0.286206\pi\)
0.275351 + 0.961344i \(0.411206\pi\)
\(410\) −24.1312 8.79672i −1.19175 0.434439i
\(411\) 16.5920 13.6167i 0.818425 0.671664i
\(412\) 8.15099 + 15.6963i 0.401571 + 0.773300i
\(413\) 2.02584 + 3.79008i 0.0996849 + 0.186497i
\(414\) −0.987352 1.10250i −0.0485257 0.0541848i
\(415\) 11.4677 + 11.4677i 0.562928 + 0.562928i
\(416\) −11.3094 7.24474i −0.554488 0.355203i
\(417\) 5.27723 5.27723i 0.258427 0.258427i
\(418\) −12.8199 0.706352i −0.627043 0.0345488i
\(419\) −32.9031 + 17.5871i −1.60742 + 0.859185i −0.609636 + 0.792681i \(0.708684\pi\)
−0.997786 + 0.0665039i \(0.978816\pi\)
\(420\) 2.13633 2.54080i 0.104242 0.123978i
\(421\) −16.9760 20.6853i −0.827358 1.00814i −0.999733 0.0231068i \(-0.992644\pi\)
0.172375 0.985031i \(-0.444856\pi\)
\(422\) −16.3270 35.0592i −0.794787 1.70666i
\(423\) −1.29280 + 6.49933i −0.0628580 + 0.316008i
\(424\) 1.59835 5.92946i 0.0776225 0.287960i
\(425\) 3.09923 0.616476i 0.150335 0.0299035i
\(426\) −21.8809 3.37901i −1.06013 0.163714i
\(427\) 1.05428 + 3.47549i 0.0510201 + 0.168191i
\(428\) 17.8235 + 12.2188i 0.861530 + 0.590617i
\(429\) −1.81410 + 2.21048i −0.0875854 + 0.106723i
\(430\) −4.88975 + 19.0392i −0.235805 + 0.918153i
\(431\) 7.97273 + 19.2479i 0.384033 + 0.927138i 0.991177 + 0.132546i \(0.0423151\pi\)
−0.607144 + 0.794592i \(0.707685\pi\)
\(432\) 1.80103 + 3.57159i 0.0866522 + 0.171838i
\(433\) −6.06950 + 14.6531i −0.291682 + 0.704182i −0.999999 0.00171277i \(-0.999455\pi\)
0.708317 + 0.705895i \(0.249455\pi\)
\(434\) −2.92502 2.19646i −0.140405 0.105433i
\(435\) −0.151822 1.54148i −0.00727933 0.0739083i
\(436\) 0.117595 9.87339i 0.00563178 0.472850i
\(437\) 3.71866 6.95712i 0.177888 0.332804i
\(438\) 7.34107 1.79245i 0.350770 0.0856467i
\(439\) 16.8952 25.2855i 0.806364 1.20681i −0.168871 0.985638i \(-0.554012\pi\)
0.975235 0.221171i \(-0.0709879\pi\)
\(440\) 2.32919 6.16043i 0.111040 0.293687i
\(441\) −5.20746 + 3.47951i −0.247974 + 0.165691i
\(442\) 0.362460 + 8.39819i 0.0172405 + 0.399461i
\(443\) 13.6317 + 1.34260i 0.647661 + 0.0637891i 0.416513 0.909130i \(-0.363252\pi\)
0.231148 + 0.972919i \(0.425752\pi\)
\(444\) −2.16508 1.19063i −0.102750 0.0565046i
\(445\) 1.57598 + 0.478068i 0.0747086 + 0.0226626i
\(446\) −7.66717 21.8374i −0.363051 1.03403i
\(447\) 9.70005i 0.458796i
\(448\) 5.93759 + 3.45189i 0.280525 + 0.163087i
\(449\) 8.05576i 0.380175i 0.981767 + 0.190087i \(0.0608771\pi\)
−0.981767 + 0.190087i \(0.939123\pi\)
\(450\) 1.68425 0.591345i 0.0793964 0.0278763i
\(451\) −10.8270 3.28433i −0.509823 0.154653i
\(452\) −7.21449 24.8444i −0.339341 1.16858i
\(453\) −18.9659 1.86798i −0.891098 0.0877655i
\(454\) −4.57440 + 0.197428i −0.214687 + 0.00926574i
\(455\) 3.27663 2.18938i 0.153611 0.102640i
\(456\) −14.5980 + 15.5393i −0.683615 + 0.727694i
\(457\) 3.65779 5.47427i 0.171104 0.256076i −0.736000 0.676981i \(-0.763288\pi\)
0.907104 + 0.420906i \(0.138288\pi\)
\(458\) 3.89799 + 15.9644i 0.182141 + 0.745967i
\(459\) 1.18014 2.20788i 0.0550840 0.103055i
\(460\) 2.82703 + 2.89519i 0.131811 + 0.134989i
\(461\) 3.69830 + 37.5494i 0.172247 + 1.74885i 0.561279 + 0.827627i \(0.310310\pi\)
−0.389032 + 0.921224i \(0.627190\pi\)
\(462\) 0.878063 1.16931i 0.0408512 0.0544014i
\(463\) −8.15250 + 19.6819i −0.378879 + 0.914695i 0.613297 + 0.789852i \(0.289843\pi\)
−0.992177 + 0.124843i \(0.960157\pi\)
\(464\) 3.08799 0.856970i 0.143356 0.0397838i
\(465\) 2.22904 + 5.38137i 0.103369 + 0.249555i
\(466\) −33.8331 8.68920i −1.56729 0.402519i
\(467\) −12.7731 + 15.5641i −0.591070 + 0.720221i −0.979542 0.201240i \(-0.935503\pi\)
0.388472 + 0.921460i \(0.373003\pi\)
\(468\) 0.870861 + 4.66799i 0.0402556 + 0.215778i
\(469\) 0.974023 + 3.21092i 0.0449762 + 0.148267i
\(470\) 2.76518 17.9060i 0.127548 0.825943i
\(471\) −11.3255 + 2.25278i −0.521852 + 0.103803i
\(472\) 14.0401 1.82697i 0.646250 0.0840930i
\(473\) −1.68930 + 8.49267i −0.0776740 + 0.390493i
\(474\) −6.98776 + 3.25419i −0.320958 + 0.149470i
\(475\) 6.03600 + 7.35489i 0.276951 + 0.337466i
\(476\) −0.370354 4.28256i −0.0169751 0.196291i
\(477\) −1.91484 + 1.02350i −0.0876744 + 0.0468629i
\(478\) 1.86089 33.7742i 0.0851151 1.54480i
\(479\) 30.3688 30.3688i 1.38758 1.38758i 0.557219 0.830366i \(-0.311869\pi\)
0.830366 0.557219i \(-0.188131\pi\)
\(480\) −5.34078 9.54385i −0.243772 0.435615i
\(481\) −2.07412 2.07412i −0.0945716 0.0945716i
\(482\) −12.4055 + 11.1098i −0.565054 + 0.506039i
\(483\) 0.423521 + 0.792353i 0.0192709 + 0.0360533i
\(484\) −5.76136 + 18.2091i −0.261880 + 0.827687i
\(485\) −23.2645 + 19.0926i −1.05638 + 0.866953i
\(486\) 0.484355 1.32868i 0.0219708 0.0602703i
\(487\) −3.66012 0.728043i −0.165856 0.0329908i 0.111464 0.993768i \(-0.464446\pi\)
−0.277320 + 0.960778i \(0.589446\pi\)
\(488\) 11.9387 + 0.800516i 0.540440 + 0.0362377i
\(489\) −2.53717 12.7552i −0.114735 0.576810i
\(490\) 13.8145 10.1186i 0.624076 0.457111i
\(491\) −20.4660 + 6.20828i −0.923616 + 0.280176i −0.716053 0.698046i \(-0.754053\pi\)
−0.207563 + 0.978222i \(0.566553\pi\)
\(492\) −15.7448 + 10.2513i −0.709832 + 0.462162i
\(493\) −1.55045 1.27242i −0.0698288 0.0573070i
\(494\) −21.7866 + 12.8827i −0.980227 + 0.579619i
\(495\) −2.15127 + 0.891085i −0.0966924 + 0.0400513i
\(496\) −10.1768 + 6.45474i −0.456953 + 0.289826i
\(497\) 12.4173 + 5.14343i 0.556994 + 0.230714i
\(498\) 11.7449 1.67078i 0.526302 0.0748692i
\(499\) −1.02227 + 0.100685i −0.0457632 + 0.00450729i −0.120873 0.992668i \(-0.538569\pi\)
0.0751096 + 0.997175i \(0.476069\pi\)
\(500\) −22.4795 + 8.99919i −1.00531 + 0.402456i
\(501\) 8.52937 + 4.55904i 0.381064 + 0.203683i
\(502\) 8.25518 + 5.01502i 0.368447 + 0.223831i
\(503\) 12.9873 + 8.67786i 0.579077 + 0.386927i 0.810336 0.585966i \(-0.199285\pi\)
−0.231259 + 0.972892i \(0.574285\pi\)
\(504\) −0.547841 2.36563i −0.0244028 0.105373i
\(505\) 5.27562 + 7.89552i 0.234762 + 0.351346i
\(506\) 1.31360 + 1.20490i 0.0583966 + 0.0535644i
\(507\) 0.721687 7.32741i 0.0320512 0.325422i
\(508\) 22.1603 + 27.6679i 0.983206 + 1.22757i
\(509\) 3.89781 12.8493i 0.172767 0.569537i −0.827204 0.561902i \(-0.810070\pi\)
0.999971 0.00763496i \(-0.00243031\pi\)
\(510\) −2.96337 + 6.17018i −0.131220 + 0.273220i
\(511\) −4.58738 −0.202934
\(512\) 17.5557 14.2757i 0.775861 0.630903i
\(513\) 7.53800 0.332811
\(514\) 5.80600 12.0890i 0.256092 0.533221i
\(515\) −4.96298 + 16.3608i −0.218695 + 0.720941i
\(516\) 8.98890 + 11.2229i 0.395714 + 0.494062i
\(517\) 0.782293 7.94276i 0.0344052 0.349322i
\(518\) 1.10538 + 1.01391i 0.0485675 + 0.0445487i
\(519\) −2.91430 4.36155i −0.127923 0.191451i
\(520\) −2.92918 12.6484i −0.128453 0.554671i
\(521\) 16.3814 + 10.9457i 0.717682 + 0.479540i 0.860008 0.510280i \(-0.170458\pi\)
−0.142326 + 0.989820i \(0.545458\pi\)
\(522\) −0.968348 0.588271i −0.0423834 0.0257479i
\(523\) −15.4884 8.27873i −0.677261 0.362003i 0.0966319 0.995320i \(-0.469193\pi\)
−0.773893 + 0.633317i \(0.781693\pi\)
\(524\) 8.60539 3.44498i 0.375928 0.150495i
\(525\) −1.07841 + 0.106214i −0.0470657 + 0.00463556i
\(526\) 5.31156 0.755597i 0.231595 0.0329456i
\(527\) 6.96837 + 2.88639i 0.303547 + 0.125733i
\(528\) −2.58036 4.06832i −0.112296 0.177051i
\(529\) 20.2374 8.38261i 0.879887 0.364461i
\(530\) 5.10991 3.02155i 0.221960 0.131248i
\(531\) −3.86953 3.17564i −0.167923 0.137811i
\(532\) 10.8465 7.06202i 0.470256 0.306177i
\(533\) −21.3434 + 6.47446i −0.924487 + 0.280440i
\(534\) 0.971869 0.711856i 0.0420569 0.0308050i
\(535\) 4.07530 + 20.4879i 0.176190 + 0.885769i
\(536\) 11.0299 + 0.739577i 0.476418 + 0.0319449i
\(537\) −12.5050 2.48739i −0.539629 0.107339i
\(538\) −10.6789 + 29.2945i −0.460402 + 1.26298i
\(539\) 5.83093 4.78532i 0.251156 0.206118i
\(540\) −1.16642 + 3.68654i −0.0501948 + 0.158643i
\(541\) 2.88580 + 5.39896i 0.124070 + 0.232119i 0.936286 0.351237i \(-0.114239\pi\)
−0.812216 + 0.583357i \(0.801739\pi\)
\(542\) 29.1600 26.1145i 1.25253 1.12171i
\(543\) 16.2007 + 16.2007i 0.695240 + 0.695240i
\(544\) −13.6289 3.84849i −0.584335 0.165003i
\(545\) 6.74930 6.74930i 0.289108 0.289108i
\(546\) 0.158587 2.87827i 0.00678688 0.123179i
\(547\) 35.0379 18.7282i 1.49811 0.800759i 0.500238 0.865888i \(-0.333246\pi\)
0.997877 + 0.0651292i \(0.0207460\pi\)
\(548\) 3.69862 + 42.7687i 0.157997 + 1.82699i
\(549\) −2.68377 3.27018i −0.114540 0.139568i
\(550\) −1.94894 + 0.907620i −0.0831033 + 0.0387010i
\(551\) 1.17820 5.92321i 0.0501930 0.252337i
\(552\) 2.93523 0.381946i 0.124932 0.0162567i
\(553\) 4.58950 0.912908i 0.195165 0.0388208i
\(554\) −6.02564 + 39.0193i −0.256005 + 1.65777i
\(555\) −0.693346 2.28566i −0.0294309 0.0970207i
\(556\) 2.73742 + 14.6731i 0.116092 + 0.622278i
\(557\) −11.6209 + 14.1601i −0.492394 + 0.599984i −0.958623 0.284680i \(-0.908113\pi\)
0.466228 + 0.884665i \(0.345613\pi\)
\(558\) 4.12682 + 1.05987i 0.174702 + 0.0448679i
\(559\) 6.53231 + 15.7704i 0.276287 + 0.667016i
\(560\) 1.77538 + 6.39737i 0.0750235 + 0.270338i
\(561\) −1.15387 + 2.78570i −0.0487165 + 0.117612i
\(562\) −7.80446 + 10.3932i −0.329211 + 0.438410i
\(563\) −0.656972 6.67034i −0.0276880 0.281121i −0.999052 0.0435262i \(-0.986141\pi\)
0.971364 0.237595i \(-0.0763592\pi\)
\(564\) −9.25924 9.48246i −0.389884 0.399284i
\(565\) 11.7888 22.0554i 0.495961 0.927877i
\(566\) 2.61788 + 10.7217i 0.110038 + 0.450665i
\(567\) −0.476963 + 0.713825i −0.0200305 + 0.0299778i
\(568\) 30.3183 32.2733i 1.27213 1.35416i
\(569\) 2.10121 1.40398i 0.0880873 0.0588581i −0.510747 0.859731i \(-0.670631\pi\)
0.598834 + 0.800873i \(0.295631\pi\)
\(570\) −20.5908 + 0.888686i −0.862456 + 0.0372230i
\(571\) 27.0247 + 2.66170i 1.13095 + 0.111389i 0.646132 0.763226i \(-0.276386\pi\)
0.484819 + 0.874615i \(0.338886\pi\)
\(572\) −1.59489 5.49227i −0.0666855 0.229644i
\(573\) 13.8299 + 4.19526i 0.577753 + 0.175259i
\(574\) 10.7614 3.77835i 0.449171 0.157705i
\(575\) 1.32092i 0.0550864i
\(576\) −7.92839 1.06803i −0.330349 0.0445014i
\(577\) 21.1957i 0.882391i −0.897411 0.441195i \(-0.854555\pi\)
0.897411 0.441195i \(-0.145445\pi\)
\(578\) −5.02816 14.3211i −0.209144 0.595678i
\(579\) 7.95546 + 2.41326i 0.330618 + 0.100292i
\(580\) 2.71450 + 1.49276i 0.112713 + 0.0619836i
\(581\) −7.16694 0.705882i −0.297335 0.0292849i
\(582\) 0.949261 + 21.9944i 0.0393482 + 0.911696i
\(583\) 2.17431 1.45283i 0.0900506 0.0601699i
\(584\) −5.34496 + 14.1368i −0.221176 + 0.584984i
\(585\) −2.55021 + 3.81665i −0.105438 + 0.157799i
\(586\) 5.58162 1.36285i 0.230575 0.0562989i
\(587\) 7.18553 13.4432i 0.296579 0.554859i −0.688859 0.724895i \(-0.741888\pi\)
0.985438 + 0.170036i \(0.0543883\pi\)
\(588\) 0.149177 12.5250i 0.00615195 0.516524i
\(589\) 2.22602 + 22.6011i 0.0917215 + 0.931264i
\(590\) 10.9444 + 8.21840i 0.450574 + 0.338346i
\(591\) 0.692307 1.67138i 0.0284777 0.0687513i
\(592\) 4.41246 2.22505i 0.181351 0.0914491i
\(593\) 5.63142 + 13.5955i 0.231255 + 0.558298i 0.996325 0.0856480i \(-0.0272960\pi\)
−0.765071 + 0.643946i \(0.777296\pi\)
\(594\) −0.423696 + 1.64975i −0.0173845 + 0.0676900i
\(595\) 2.63607 3.21206i 0.108068 0.131681i
\(596\) 16.0011 + 10.9695i 0.655430 + 0.449326i
\(597\) 0.684174 + 2.25542i 0.0280014 + 0.0923081i
\(598\) 3.47272 + 0.536283i 0.142010 + 0.0219302i
\(599\) −40.0418 + 7.96482i −1.63607 + 0.325434i −0.925659 0.378358i \(-0.876489\pi\)
−0.710406 + 0.703792i \(0.751489\pi\)
\(600\) −0.929187 + 3.44705i −0.0379339 + 0.140725i
\(601\) 7.20469 36.2204i 0.293886 1.47746i −0.498205 0.867059i \(-0.666007\pi\)
0.792091 0.610403i \(-0.208993\pi\)
\(602\) −3.68502 7.91289i −0.150190 0.322505i
\(603\) −2.47947 3.02124i −0.100972 0.123034i
\(604\) 24.5294 29.1736i 0.998085 1.18706i
\(605\) −16.2822 + 8.70302i −0.661966 + 0.353828i
\(606\) 6.93560 + 0.382137i 0.281740 + 0.0155233i
\(607\) 0.716922 0.716922i 0.0290990 0.0290990i −0.692408 0.721507i \(-0.743450\pi\)
0.721507 + 0.692408i \(0.243450\pi\)
\(608\) −9.12503 41.6536i −0.370069 1.68928i
\(609\) 0.486359 + 0.486359i 0.0197083 + 0.0197083i
\(610\) 7.71652 + 8.61644i 0.312433 + 0.348869i
\(611\) −7.41670 13.8757i −0.300048 0.561350i
\(612\) 2.30752 + 4.44356i 0.0932758 + 0.179620i
\(613\) −33.4334 + 27.4381i −1.35036 + 1.10821i −0.366280 + 0.930505i \(0.619369\pi\)
−0.984083 + 0.177709i \(0.943131\pi\)
\(614\) 15.7639 + 5.74652i 0.636178 + 0.231911i
\(615\) −17.8128 3.54318i −0.718280 0.142875i
\(616\) 0.935913 + 2.77078i 0.0377090 + 0.111638i
\(617\) 2.66985 + 13.4222i 0.107484 + 0.540358i 0.996580 + 0.0826370i \(0.0263342\pi\)
−0.889096 + 0.457721i \(0.848666\pi\)
\(618\) 7.39001 + 10.0893i 0.297270 + 0.405851i
\(619\) 5.91832 1.79530i 0.237877 0.0721593i −0.169095 0.985600i \(-0.554084\pi\)
0.406973 + 0.913440i \(0.366584\pi\)
\(620\) −11.3978 2.40862i −0.457746 0.0967324i
\(621\) −0.808963 0.663899i −0.0324626 0.0266413i
\(622\) 3.99760 + 6.76056i 0.160289 + 0.271074i
\(623\) −0.675647 + 0.279862i −0.0270692 + 0.0112124i
\(624\) −8.68509 3.84231i −0.347682 0.153816i
\(625\) −15.7944 6.54224i −0.631775 0.261690i
\(626\) 2.22394 + 15.6335i 0.0888866 + 0.624839i
\(627\) −9.03509 + 0.889879i −0.360827 + 0.0355383i
\(628\) 9.09147 21.2300i 0.362789 0.847170i
\(629\) −2.72769 1.45798i −0.108760 0.0581334i
\(630\) 1.21872 2.00612i 0.0485549 0.0799257i
\(631\) 26.4560 + 17.6773i 1.05320 + 0.703724i 0.956542 0.291594i \(-0.0941857\pi\)
0.0966548 + 0.995318i \(0.469186\pi\)
\(632\) 2.53415 15.2070i 0.100803 0.604901i
\(633\) −15.1932 22.7382i −0.603876 0.903764i
\(634\) 29.8690 32.5635i 1.18625 1.29326i
\(635\) −3.35874 + 34.1019i −0.133288 + 1.35329i
\(636\) 0.477068 4.31614i 0.0189170 0.171146i
\(637\) 4.31651 14.2296i 0.171026 0.563799i
\(638\) 1.23011 + 0.590790i 0.0487007 + 0.0233896i
\(639\) −15.6555 −0.619323
\(640\) 21.7831 + 1.98274i 0.861054 + 0.0783745i
\(641\) −28.5176 −1.12638 −0.563188 0.826329i \(-0.690425\pi\)
−0.563188 + 0.826329i \(0.690425\pi\)
\(642\) 13.7741 + 6.61531i 0.543619 + 0.261085i
\(643\) 7.29472 24.0475i 0.287676 0.948339i −0.687365 0.726312i \(-0.741233\pi\)
0.975041 0.222027i \(-0.0712673\pi\)
\(644\) −1.78600 0.197409i −0.0703783 0.00777901i
\(645\) −1.36241 + 13.8327i −0.0536447 + 0.544664i
\(646\) −18.0400 + 19.6675i −0.709776 + 0.773806i
\(647\) 14.0235 + 20.9876i 0.551319 + 0.825107i 0.997561 0.0698051i \(-0.0222377\pi\)
−0.446241 + 0.894913i \(0.647238\pi\)
\(648\) 1.64404 + 2.30155i 0.0645840 + 0.0904134i
\(649\) 5.01293 + 3.34953i 0.196775 + 0.131481i
\(650\) −2.20047 + 3.62216i −0.0863094 + 0.142073i
\(651\) −2.28111 1.21928i −0.0894036 0.0477872i
\(652\) 23.9100 + 10.2391i 0.936388 + 0.400996i
\(653\) −15.4043 + 1.51719i −0.602816 + 0.0593722i −0.394822 0.918758i \(-0.629194\pi\)
−0.207995 + 0.978130i \(0.566694\pi\)
\(654\) −0.983332 6.91244i −0.0384513 0.270298i
\(655\) 8.27830 + 3.42898i 0.323460 + 0.133981i
\(656\) 0.894955 37.5653i 0.0349421 1.46668i
\(657\) 4.93667 2.04484i 0.192598 0.0797767i
\(658\) 4.09507 + 6.92540i 0.159642 + 0.269980i
\(659\) 14.1513 + 11.6137i 0.551258 + 0.452406i 0.868324 0.495998i \(-0.165198\pi\)
−0.317066 + 0.948404i \(0.602698\pi\)
\(660\) 0.962875 4.55641i 0.0374799 0.177358i
\(661\) 37.6609 11.4243i 1.46484 0.444354i 0.545596 0.838048i \(-0.316303\pi\)
0.919241 + 0.393695i \(0.128803\pi\)
\(662\) 17.8287 + 24.3408i 0.692932 + 0.946033i
\(663\) 1.15961 + 5.82973i 0.0450354 + 0.226408i
\(664\) −10.5258 + 21.2637i −0.408481 + 0.825191i
\(665\) 12.2711 + 2.44087i 0.475852 + 0.0946528i
\(666\) −1.64150 0.598388i −0.0636068 0.0231870i
\(667\) −0.648120 + 0.531899i −0.0250953 + 0.0205952i
\(668\) −17.1661 + 8.91428i −0.664177 + 0.344904i
\(669\) −7.71463 14.4331i −0.298265 0.558014i
\(670\) 7.12911 + 7.96051i 0.275421 + 0.307541i
\(671\) 3.60283 + 3.60283i 0.139086 + 0.139086i
\(672\) 4.52184 + 1.77149i 0.174434 + 0.0683369i
\(673\) −0.778490 + 0.778490i −0.0300086 + 0.0300086i −0.721952 0.691943i \(-0.756755\pi\)
0.691943 + 0.721952i \(0.256755\pi\)
\(674\) 41.2801 + 2.27445i 1.59005 + 0.0876085i
\(675\) 1.11318 0.595006i 0.0428462 0.0229018i
\(676\) 11.2711 + 9.47681i 0.433503 + 0.364493i
\(677\) −14.1765 17.2741i −0.544845 0.663896i 0.425686 0.904871i \(-0.360033\pi\)
−0.970531 + 0.240975i \(0.922533\pi\)
\(678\) −7.72279 16.5833i −0.296592 0.636876i
\(679\) 2.60724 13.1075i 0.100057 0.503020i
\(680\) −6.82709 11.8660i −0.261807 0.455040i
\(681\) −3.17539 + 0.631624i −0.121681 + 0.0242039i
\(682\) −5.07155 0.783185i −0.194200 0.0299897i
\(683\) 3.85256 + 12.7002i 0.147414 + 0.485960i 0.999286 0.0377913i \(-0.0120322\pi\)
−0.851871 + 0.523751i \(0.824532\pi\)
\(684\) −8.52447 + 12.4346i −0.325941 + 0.475449i
\(685\) −26.3257 + 32.0779i −1.00585 + 1.22564i
\(686\) −4.00560 + 15.5966i −0.152935 + 0.595482i
\(687\) 4.44684 + 10.7356i 0.169658 + 0.409590i
\(688\) −28.6785 + 2.13633i −1.09336 + 0.0814470i
\(689\) 1.97274 4.76263i 0.0751556 0.181442i
\(690\) 2.28804 + 1.71814i 0.0871041 + 0.0654084i
\(691\) −4.74536 48.1804i −0.180522 1.83287i −0.478256 0.878220i \(-0.658731\pi\)
0.297734 0.954649i \(-0.403769\pi\)
\(692\) 10.4904 + 0.124944i 0.398787 + 0.00474967i
\(693\) 0.487421 0.911901i 0.0185156 0.0346403i
\(694\) 1.91771 0.468242i 0.0727951 0.0177742i
\(695\) −8.01617 + 11.9971i −0.304071 + 0.455074i
\(696\) 2.06548 0.932118i 0.0782917 0.0353319i
\(697\) −19.5543 + 13.0658i −0.740672 + 0.494901i
\(698\) 1.07168 + 24.8308i 0.0405636 + 0.939858i
\(699\) −24.5811 2.42103i −0.929743 0.0915717i
\(700\) 1.04433 1.89905i 0.0394719 0.0717772i
\(701\) −27.9556 8.48025i −1.05587 0.320294i −0.285823 0.958282i \(-0.592267\pi\)
−0.770046 + 0.637988i \(0.779767\pi\)
\(702\) 1.11234 + 3.16812i 0.0419824 + 0.119573i
\(703\) 9.31269i 0.351235i
\(704\) 9.62909 + 0.344186i 0.362910 + 0.0129720i
\(705\) 12.8116i 0.482511i
\(706\) −41.7861 + 14.6712i −1.57264 + 0.552158i
\(707\) −4.03513 1.22404i −0.151757 0.0460349i
\(708\) 9.61442 2.79190i 0.361332 0.104926i
\(709\) −15.0597 1.48325i −0.565579 0.0557047i −0.188813 0.982013i \(-0.560464\pi\)
−0.376766 + 0.926308i \(0.622964\pi\)
\(710\) 42.7647 1.84570i 1.60493 0.0692677i
\(711\) −4.53202 + 3.02820i −0.169964 + 0.113566i
\(712\) 0.0752151 + 2.40820i 0.00281880 + 0.0902511i
\(713\) 1.75167 2.62156i 0.0656006 0.0981782i
\(714\) −0.720974 2.95278i −0.0269818 0.110505i
\(715\) 2.60613 4.87572i 0.0974636 0.182342i
\(716\) 18.2446 17.8151i 0.681833 0.665783i
\(717\) −2.34440 23.8030i −0.0875530 0.888941i
\(718\) 7.04566 9.38268i 0.262942 0.350159i
\(719\) −11.3883 + 27.4938i −0.424712 + 1.02534i 0.556227 + 0.831030i \(0.312248\pi\)
−0.980939 + 0.194315i \(0.937752\pi\)
\(720\) −4.76221 6.09310i −0.177477 0.227076i
\(721\) −2.90534 7.01411i −0.108200 0.261219i
\(722\) −51.8064 13.3052i −1.92803 0.495167i
\(723\) −7.47028 + 9.10257i −0.277823 + 0.338528i
\(724\) −45.0454 + 8.40367i −1.67410 + 0.312320i
\(725\) −0.293552 0.967713i −0.0109023 0.0359399i
\(726\) −2.06109 + 13.3467i −0.0764944 + 0.495342i
\(727\) 16.0993 3.20235i 0.597089 0.118768i 0.112712 0.993628i \(-0.464046\pi\)
0.484377 + 0.874859i \(0.339046\pi\)
\(728\) 4.56862 + 3.51654i 0.169324 + 0.130332i
\(729\) 0.195090 0.980785i 0.00722557 0.0363254i
\(730\) −13.2440 + 6.16769i −0.490181 + 0.228276i
\(731\) 11.4183 + 13.9132i 0.422321 + 0.514600i
\(732\) 8.42943 0.728974i 0.311561 0.0269437i
\(733\) −41.1515 + 21.9959i −1.51996 + 0.812438i −0.999150 0.0412312i \(-0.986872\pi\)
−0.520815 + 0.853669i \(0.674372\pi\)
\(734\) 1.78666 32.4270i 0.0659468 1.19690i
\(735\) 8.56193 8.56193i 0.315811 0.315811i
\(736\) −2.68930 + 5.27385i −0.0991289 + 0.194397i
\(737\) 3.32857 + 3.32857i 0.122609 + 0.122609i
\(738\) −9.89657 + 8.86296i −0.364298 + 0.326250i
\(739\) −8.61034 16.1088i −0.316737 0.592573i 0.672294 0.740284i \(-0.265309\pi\)
−0.989030 + 0.147712i \(0.952809\pi\)
\(740\) 4.55447 + 1.44104i 0.167426 + 0.0529735i
\(741\) −13.8347 + 11.3539i −0.508232 + 0.417095i
\(742\) −0.902840 + 2.47667i −0.0331443 + 0.0909216i
\(743\) −37.2994 7.41930i −1.36838 0.272188i −0.544410 0.838820i \(-0.683246\pi\)
−0.823971 + 0.566632i \(0.808246\pi\)
\(744\) −6.41523 + 5.60898i −0.235194 + 0.205635i
\(745\) 3.65861 + 18.3931i 0.134041 + 0.673871i
\(746\) 7.30612 5.35144i 0.267496 0.195930i
\(747\) 8.02730 2.43506i 0.293704 0.0890940i
\(748\) −3.29037 5.05366i −0.120308 0.184780i
\(749\) −7.17047 5.88465i −0.262003 0.215020i
\(750\) −14.7380 + 8.71477i −0.538157 + 0.318218i
\(751\) −25.8691 + 10.7153i −0.943978 + 0.391008i −0.800964 0.598712i \(-0.795679\pi\)
−0.143014 + 0.989721i \(0.545679\pi\)
\(752\) 26.1131 4.55054i 0.952248 0.165941i
\(753\) 6.31012 + 2.61374i 0.229953 + 0.0952499i
\(754\) 2.66330 0.378869i 0.0969918 0.0137976i
\(755\) 36.6675 3.61143i 1.33447 0.131434i
\(756\) −0.638136 1.59403i −0.0232088 0.0579744i
\(757\) −29.1373 15.5742i −1.05901 0.566055i −0.152532 0.988299i \(-0.548743\pi\)
−0.906483 + 0.422243i \(0.861243\pi\)
\(758\) −7.97002 4.84179i −0.289484 0.175862i
\(759\) 1.04800 + 0.700253i 0.0380401 + 0.0254176i
\(760\) 21.8195 34.9714i 0.791477 1.26855i
\(761\) 8.93620 + 13.3740i 0.323937 + 0.484806i 0.957319 0.289033i \(-0.0933338\pi\)
−0.633382 + 0.773839i \(0.718334\pi\)
\(762\) 18.4720 + 16.9435i 0.669170 + 0.613798i
\(763\) −0.415446 + 4.21809i −0.0150402 + 0.152705i
\(764\) −22.5602 + 18.0694i −0.816200 + 0.653727i
\(765\) −1.40500 + 4.63167i −0.0507979 + 0.167458i
\(766\) 12.5022 26.0315i 0.451723 0.940556i
\(767\) 11.8851 0.429145
\(768\) 10.7278 11.8708i 0.387105 0.428349i
\(769\) −28.0274 −1.01070 −0.505348 0.862916i \(-0.668636\pi\)
−0.505348 + 0.862916i \(0.668636\pi\)
\(770\) −1.22393 + 2.54842i −0.0441076 + 0.0918386i
\(771\) 2.75276 9.07462i 0.0991381 0.326814i
\(772\) −12.9775 + 10.3942i −0.467069 + 0.374094i
\(773\) 5.40040 54.8312i 0.194239 1.97214i −0.0372599 0.999306i \(-0.511863\pi\)
0.231499 0.972835i \(-0.425637\pi\)
\(774\) 7.49280 + 6.87279i 0.269323 + 0.247037i
\(775\) 2.11273 + 3.16192i 0.0758915 + 0.113580i
\(776\) −37.3551 23.3068i −1.34097 0.836666i
\(777\) 0.881882 + 0.589255i 0.0316374 + 0.0211394i
\(778\) −1.24578 0.756810i −0.0446633 0.0271330i
\(779\) −62.4506 33.3805i −2.23752 1.19598i
\(780\) −3.41196 8.52291i −0.122168 0.305169i
\(781\) 18.7648 1.84817i 0.671458 0.0661328i
\(782\) 3.66820 0.521822i 0.131175 0.0186603i
\(783\) −0.740188 0.306596i −0.0264522 0.0109568i
\(784\) 20.4924 + 14.4102i 0.731873 + 0.514651i
\(785\) 20.6256 8.54339i 0.736158 0.304927i
\(786\) 5.64187 3.33610i 0.201239 0.118995i
\(787\) 24.0061 + 19.7013i 0.855724 + 0.702275i 0.956216 0.292663i \(-0.0945415\pi\)
−0.100491 + 0.994938i \(0.532041\pi\)
\(788\) 1.97418 + 3.03213i 0.0703272 + 0.108015i
\(789\) 3.63030 1.10124i 0.129242 0.0392051i
\(790\) 12.0227 8.80615i 0.427748 0.313309i
\(791\) 2.16650 + 10.8917i 0.0770319 + 0.387266i
\(792\) −2.24226 2.56457i −0.0796752 0.0911280i
\(793\) 9.85120 + 1.95953i 0.349826 + 0.0695848i
\(794\) 1.59761 4.38256i 0.0566969 0.155531i
\(795\) 3.24485 2.66298i 0.115083 0.0944461i
\(796\) −4.49422 1.42197i −0.159293 0.0504005i
\(797\) −21.4792 40.1848i −0.760834 1.42342i −0.901237 0.433326i \(-0.857340\pi\)
0.140403 0.990094i \(-0.455160\pi\)
\(798\) 6.81767 6.10563i 0.241343 0.216137i
\(799\) −11.7307 11.7307i −0.415004 0.415004i
\(800\) −4.63543 5.43093i −0.163887 0.192013i
\(801\) 0.602343 0.602343i 0.0212828 0.0212828i
\(802\) −2.70395 + 49.0754i −0.0954799 + 1.73291i
\(803\) −5.67573 + 3.03374i −0.200292 + 0.107058i
\(804\) 7.78774 0.673481i 0.274653 0.0237519i
\(805\) −1.10193 1.34271i −0.0388379 0.0473242i
\(806\) −9.17047 + 4.27067i −0.323016 + 0.150428i
\(807\) −4.30131 + 21.6241i −0.151413 + 0.761205i
\(808\) −8.47361 + 11.0087i −0.298101 + 0.387286i
\(809\) −38.3608 + 7.63043i −1.34869 + 0.268272i −0.816007 0.578042i \(-0.803817\pi\)
−0.532685 + 0.846313i \(0.678817\pi\)
\(810\) −0.417281 + 2.70212i −0.0146618 + 0.0949427i
\(811\) 11.2045 + 36.9362i 0.393442 + 1.29700i 0.900411 + 0.435040i \(0.143266\pi\)
−0.506969 + 0.861964i \(0.669234\pi\)
\(812\) −1.35230 + 0.252285i −0.0474564 + 0.00885348i
\(813\) 17.5595 21.3963i 0.615838 0.750401i
\(814\) 2.03815 + 0.523448i 0.0714372 + 0.0183468i
\(815\) 9.62188 + 23.2293i 0.337040 + 0.813686i
\(816\) −9.93953 1.21862i −0.347953 0.0426601i
\(817\) −20.7393 + 50.0690i −0.725576 + 1.75169i
\(818\) −15.7179 + 20.9315i −0.549563 + 0.731851i
\(819\) −0.199791 2.02852i −0.00698127 0.0708821i
\(820\) 25.9886 25.3768i 0.907562 0.886198i
\(821\) −9.08737 + 17.0013i −0.317152 + 0.593349i −0.989099 0.147250i \(-0.952958\pi\)
0.671948 + 0.740598i \(0.265458\pi\)
\(822\) 7.20017 + 29.4886i 0.251135 + 1.02853i
\(823\) 2.42167 3.62429i 0.0844141 0.126335i −0.786860 0.617132i \(-0.788294\pi\)
0.871274 + 0.490797i \(0.163294\pi\)
\(824\) −25.0003 + 0.780832i −0.870926 + 0.0272016i
\(825\) −1.26402 + 0.844591i −0.0440075 + 0.0294049i
\(826\) −6.07196 + 0.262061i −0.211271 + 0.00911828i
\(827\) −17.6998 1.74328i −0.615484 0.0606199i −0.214529 0.976718i \(-0.568822\pi\)
−0.400955 + 0.916098i \(0.631322\pi\)
\(828\) 2.00999 0.583675i 0.0698519 0.0202841i
\(829\) 0.591082 + 0.179303i 0.0205291 + 0.00622744i 0.300533 0.953772i \(-0.402836\pi\)
−0.280003 + 0.959999i \(0.590336\pi\)
\(830\) −21.6403 + 7.59798i −0.751147 + 0.263730i
\(831\) 27.9178i 0.968459i
\(832\) 16.1599 9.98168i 0.560244 0.346052i
\(833\) 15.6792i 0.543254i
\(834\) 3.49645 + 9.95849i 0.121072 + 0.344834i
\(835\) −17.8928 5.42773i −0.619207 0.187834i
\(836\) 8.74955 15.9105i 0.302610 0.550277i
\(837\) 2.99829 + 0.295306i 0.103636 + 0.0102073i
\(838\) −2.27506 52.7130i −0.0785906 1.82094i
\(839\) 1.51148 1.00994i 0.0521820 0.0348669i −0.529206 0.848494i \(-0.677510\pi\)
0.581388 + 0.813627i \(0.302510\pi\)
\(840\) 1.93106 + 4.27903i 0.0666280 + 0.147641i
\(841\) 15.7549 23.5789i 0.543273 0.813066i
\(842\) 36.7634 8.97645i 1.26695 0.309349i
\(843\) −4.33233 + 8.10523i −0.149214 + 0.279159i
\(844\) 54.6902 + 0.651377i 1.88251 + 0.0224213i
\(845\) 1.39526 + 14.1663i 0.0479985 + 0.487337i
\(846\) −7.49390 5.62733i −0.257645 0.193472i
\(847\) 3.13734 7.57421i 0.107800 0.260253i
\(848\) 6.58035 + 5.66794i 0.225970 + 0.194638i
\(849\) 2.98649 + 7.21003i 0.102496 + 0.247447i
\(850\) −1.11164 + 4.32838i −0.0381288 + 0.148462i
\(851\) −0.820202 + 0.999419i −0.0281162 + 0.0342596i
\(852\) 17.7043 25.8252i 0.606540 0.884756i
\(853\) 6.71196 + 22.1264i 0.229813 + 0.757593i 0.993683 + 0.112222i \(0.0357969\pi\)
−0.763870 + 0.645370i \(0.776703\pi\)
\(854\) −5.07608 0.783886i −0.173700 0.0268240i
\(855\) −14.2935 + 2.84314i −0.488826 + 0.0972335i
\(856\) −26.4892 + 15.2405i −0.905381 + 0.520910i
\(857\) 8.68022 43.6384i 0.296511 1.49066i −0.489258 0.872139i \(-0.662732\pi\)
0.785768 0.618521i \(-0.212268\pi\)
\(858\) −1.70726 3.66601i −0.0582847 0.125156i
\(859\) 5.14885 + 6.27389i 0.175676 + 0.214062i 0.853403 0.521252i \(-0.174535\pi\)
−0.677727 + 0.735314i \(0.737035\pi\)
\(860\) −21.2776 17.8904i −0.725561 0.610057i
\(861\) 7.11255 3.80174i 0.242395 0.129563i
\(862\) −29.4188 1.62091i −1.00201 0.0552085i
\(863\) 34.8833 34.8833i 1.18744 1.18744i 0.209668 0.977773i \(-0.432762\pi\)
0.977773 0.209668i \(-0.0672384\pi\)
\(864\) −5.65580 + 0.109244i −0.192414 + 0.00371656i
\(865\) 7.17111 + 7.17111i 0.243825 + 0.243825i
\(866\) −14.9638 16.7089i −0.508491 0.567792i
\(867\) −5.05929 9.46526i −0.171822 0.321457i
\(868\) 4.59093 2.38405i 0.155826 0.0809198i
\(869\) 5.07462 4.16464i 0.172145 0.141276i
\(870\) 2.05805 + 0.750235i 0.0697744 + 0.0254354i
\(871\) 9.10128 + 1.81036i 0.308385 + 0.0613416i
\(872\) 12.5147 + 6.19496i 0.423801 + 0.209788i
\(873\) 3.03694 + 15.2677i 0.102785 + 0.516735i
\(874\) 6.59224 + 9.00012i 0.222986 + 0.304434i
\(875\) 9.94639 3.01720i 0.336249 0.102000i
\(876\) −2.20958 + 10.4559i −0.0746547 + 0.353273i
\(877\) −43.8972 36.0255i −1.48230 1.21649i −0.921403 0.388609i \(-0.872956\pi\)
−0.560899 0.827884i \(-0.689544\pi\)
\(878\) 21.8900 + 37.0194i 0.738751 + 1.24934i
\(879\) 3.75349 1.55475i 0.126602 0.0524403i
\(880\) 6.42731 + 6.74104i 0.216665 + 0.227240i
\(881\) −26.0395 10.7859i −0.877293 0.363387i −0.101847 0.994800i \(-0.532475\pi\)
−0.775447 + 0.631413i \(0.782475\pi\)
\(882\) −1.24742 8.76888i −0.0420028 0.295264i
\(883\) −14.1645 + 1.39508i −0.476674 + 0.0469483i −0.333502 0.942750i \(-0.608230\pi\)
−0.143172 + 0.989698i \(0.545730\pi\)
\(884\) −10.9280 4.67978i −0.367549 0.157398i
\(885\) 8.53512 + 4.56211i 0.286905 + 0.153354i
\(886\) −10.0577 + 16.5558i −0.337894 + 0.556203i
\(887\) −6.20753 4.14774i −0.208429 0.139267i 0.446975 0.894547i \(-0.352501\pi\)
−0.655403 + 0.755279i \(0.727501\pi\)
\(888\) 2.84341 2.03110i 0.0954185 0.0681593i
\(889\) −8.45380 12.6520i −0.283531 0.424334i
\(890\) −1.57435 + 1.71638i −0.0527724 + 0.0575331i
\(891\) −0.118052 + 1.19861i −0.00395490 + 0.0401548i
\(892\) 32.5328 + 3.59590i 1.08928 + 0.120400i
\(893\) 14.5002 47.8009i 0.485232 1.59960i
\(894\) 12.3657 + 5.93892i 0.413572 + 0.198627i
\(895\) 24.6499 0.823956
\(896\) −8.03584 + 5.45586i −0.268459 + 0.182267i
\(897\) 2.48469 0.0829614
\(898\) −10.2696 4.93219i −0.342700 0.164589i
\(899\) 0.700683 2.30984i 0.0233691 0.0770375i
\(900\) −0.277341 + 2.50916i −0.00924468 + 0.0836386i
\(901\) 0.532782 5.40943i 0.0177495 0.180214i
\(902\) 10.8158 11.7915i 0.360127 0.392614i
\(903\) −3.42912 5.13203i −0.114114 0.170783i
\(904\) 36.0890 + 6.01402i 1.20030 + 0.200023i
\(905\) −36.8301 24.6091i −1.22427 0.818034i
\(906\) 13.9933 23.0343i 0.464898 0.765263i
\(907\) 20.1251 + 10.7571i 0.668244 + 0.357184i 0.770379 0.637587i \(-0.220067\pi\)
−0.102135 + 0.994771i \(0.532567\pi\)
\(908\) 2.54902 5.95237i 0.0845922 0.197536i
\(909\) 4.88800 0.481426i 0.162125 0.0159679i
\(910\) 0.784901 + 5.51755i 0.0260192 + 0.182905i
\(911\) 13.0708 + 5.41408i 0.433053 + 0.179377i 0.588552 0.808460i \(-0.299698\pi\)
−0.155498 + 0.987836i \(0.549698\pi\)
\(912\) −10.8719 28.1237i −0.360006 0.931270i
\(913\) −9.33411 + 3.86631i −0.308914 + 0.127956i
\(914\) 4.73915 + 8.01465i 0.156757 + 0.265101i
\(915\) 6.32235 + 5.18862i 0.209010 + 0.171530i
\(916\) −22.7382 4.80510i −0.751290 0.158765i
\(917\) −3.80758 + 1.15502i −0.125737 + 0.0381420i
\(918\) 2.09208 + 2.85624i 0.0690490 + 0.0942699i
\(919\) 0.819640 + 4.12061i 0.0270374 + 0.135926i 0.991946 0.126658i \(-0.0404251\pi\)
−0.964909 + 0.262585i \(0.915425\pi\)
\(920\) −5.42168 + 1.83134i −0.178748 + 0.0603773i
\(921\) 11.6363 + 2.31461i 0.383429 + 0.0762689i
\(922\) −50.1327 18.2752i −1.65103 0.601863i
\(923\) 28.7331 23.5806i 0.945761 0.776166i
\(924\) 0.953053 + 1.83528i 0.0313532 + 0.0603764i
\(925\) −0.735089 1.37526i −0.0241696 0.0452181i
\(926\) −20.0993 22.4433i −0.660503 0.737531i
\(927\) 6.25312 + 6.25312i 0.205379 + 0.205379i
\(928\) −0.798167 + 4.46129i −0.0262011 + 0.146449i
\(929\) −7.17696 + 7.17696i −0.235468 + 0.235468i −0.814971 0.579502i \(-0.803247\pi\)
0.579502 + 0.814971i \(0.303247\pi\)
\(930\) −8.22497 0.453178i −0.269707 0.0148603i
\(931\) 41.6357 22.2547i 1.36455 0.729370i
\(932\) 31.7916 37.8108i 1.04137 1.23854i
\(933\) 3.52319 + 4.29302i 0.115344 + 0.140547i
\(934\) −12.0209 25.8125i −0.393334 0.844612i
\(935\) 1.13726 5.71741i 0.0371925 0.186979i
\(936\) −6.48399 1.74782i −0.211936 0.0571294i
\(937\) −14.0247 + 2.78969i −0.458168 + 0.0911352i −0.418778 0.908089i \(-0.637541\pi\)
−0.0393898 + 0.999224i \(0.512541\pi\)
\(938\) −4.68967 0.724213i −0.153123 0.0236464i
\(939\) 3.24126 + 10.6850i 0.105775 + 0.348692i
\(940\) 21.1338 + 14.4882i 0.689308 + 0.472552i
\(941\) 34.5436 42.0915i 1.12609 1.37214i 0.206885 0.978365i \(-0.433667\pi\)
0.919205 0.393779i \(-0.128833\pi\)
\(942\) 4.06224 15.8171i 0.132355 0.515351i
\(943\) 3.76212 + 9.08257i 0.122512 + 0.295769i
\(944\) −6.26713 + 19.0171i −0.203978 + 0.618954i
\(945\) 0.635173 1.53344i 0.0206622 0.0498829i
\(946\) −9.79226 7.35323i −0.318374 0.239074i
\(947\) 2.65930 + 27.0004i 0.0864158 + 0.877394i 0.936481 + 0.350717i \(0.114062\pi\)
−0.850066 + 0.526677i \(0.823438\pi\)
\(948\) 0.129828 10.9005i 0.00421661 0.354031i
\(949\) −5.98046 + 11.1887i −0.194134 + 0.363199i
\(950\) −13.0717 + 3.19168i −0.424101 + 0.103552i
\(951\) 17.3590 25.9795i 0.562903 0.842443i
\(952\) 5.68620 + 2.14989i 0.184291 + 0.0696784i
\(953\) 34.7073 23.1907i 1.12428 0.751219i 0.152780 0.988260i \(-0.451178\pi\)
0.971500 + 0.237041i \(0.0761775\pi\)
\(954\) −0.132400 3.06770i −0.00428660 0.0993204i
\(955\) −27.8064 2.73869i −0.899794 0.0886220i
\(956\) 41.9164 + 23.0508i 1.35567 + 0.745515i
\(957\) 0.923389 + 0.280107i 0.0298489 + 0.00905457i
\(958\) 20.1210 + 57.3079i 0.650079 + 1.85153i
\(959\) 18.4272i 0.595046i
\(960\) 15.4365 0.965197i 0.498212 0.0311516i
\(961\) 21.9230i 0.707195i
\(962\) 3.91400 1.37421i 0.126192 0.0443065i
\(963\) 10.3395 + 3.13647i 0.333187 + 0.101071i
\(964\) −6.56760 22.6167i −0.211528 0.728434i
\(965\) −15.9953 1.57540i −0.514906 0.0507138i
\(966\) −1.26940 + 0.0547865i −0.0408424 + 0.00176273i
\(967\) −32.3460 + 21.6129i −1.04018 + 0.695025i −0.953556 0.301217i \(-0.902607\pi\)
−0.0866222 + 0.996241i \(0.527607\pi\)
\(968\) −19.6857 18.4933i −0.632723 0.594397i
\(969\) −10.4843 + 15.6909i −0.336805 + 0.504065i
\(970\) −10.0957 41.3474i −0.324153 1.32758i
\(971\) 23.0982 43.2137i 0.741257 1.38679i −0.174336 0.984686i \(-0.555778\pi\)
0.915592 0.402108i \(-0.131722\pi\)
\(972\) 1.39727 + 1.43096i 0.0448175 + 0.0458979i
\(973\) −0.628013 6.37632i −0.0201332 0.204416i
\(974\) 3.16905 4.22021i 0.101543 0.135224i
\(975\) −1.14684 + 2.76872i −0.0367283 + 0.0886700i
\(976\) −8.33005 + 14.7295i −0.266638 + 0.471479i
\(977\) 2.56954 + 6.20343i 0.0822070 + 0.198465i 0.959638 0.281237i \(-0.0907447\pi\)
−0.877431 + 0.479702i \(0.840745\pi\)
\(978\) 17.8139 + 4.57504i 0.569624 + 0.146294i
\(979\) −0.650864 + 0.793080i −0.0208017 + 0.0253470i
\(980\) 4.44126 + 23.8061i 0.141871 + 0.760456i
\(981\) −1.43315 4.72446i −0.0457569 0.150840i
\(982\) 4.61603 29.8913i 0.147303 0.953869i
\(983\) −36.0036 + 7.16155i −1.14833 + 0.228418i −0.732334 0.680946i \(-0.761569\pi\)
−0.416001 + 0.909364i \(0.636569\pi\)
\(984\) −3.42853 26.3481i −0.109298 0.839946i
\(985\) −0.682342 + 3.43036i −0.0217412 + 0.109300i
\(986\) 2.57137 1.19748i 0.0818891 0.0381356i
\(987\) 3.60910 + 4.39770i 0.114879 + 0.139980i
\(988\) −3.08398 35.6613i −0.0981145 1.13454i
\(989\) 6.63546 3.54673i 0.210995 0.112779i
\(990\) 0.181164 3.28803i 0.00575776 0.104501i
\(991\) −15.1208 + 15.1208i −0.480329 + 0.480329i −0.905237 0.424908i \(-0.860306\pi\)
0.424908 + 0.905237i \(0.360306\pi\)
\(992\) −1.99774 16.9255i −0.0634282 0.537385i
\(993\) 15.0859 + 15.0859i 0.478737 + 0.478737i
\(994\) −14.1595 + 12.6807i −0.449112 + 0.402206i
\(995\) −2.14801 4.01864i −0.0680964 0.127399i
\(996\) −5.06097 + 15.9955i −0.160363 + 0.506836i
\(997\) −23.2167 + 19.0534i −0.735279 + 0.603428i −0.925693 0.378276i \(-0.876517\pi\)
0.190414 + 0.981704i \(0.439017\pi\)
\(998\) 0.497539 1.36485i 0.0157493 0.0432036i
\(999\) −1.21169 0.241021i −0.0383363 0.00762556i
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 384.2.v.a.325.11 yes 512
128.13 even 32 inner 384.2.v.a.13.11 512
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.v.a.13.11 512 128.13 even 32 inner
384.2.v.a.325.11 yes 512 1.1 even 1 trivial