Properties

Label 189.2.be.a.41.21
Level $189$
Weight $2$
Character 189.41
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(20,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([7, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.20");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.be (of order \(18\), degree \(6\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.21
Character \(\chi\) \(=\) 189.41
Dual form 189.2.be.a.83.21

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.21529 - 0.390615i) q^{2} +(-0.0610697 - 1.73097i) q^{3} +(2.87553 - 1.04661i) q^{4} +(0.189389 + 0.158916i) q^{5} +(-0.811431 - 3.81075i) q^{6} +(-2.13360 + 1.56453i) q^{7} +(2.06513 - 1.19230i) q^{8} +(-2.99254 + 0.211420i) q^{9} +O(q^{10})\) \(q+(2.21529 - 0.390615i) q^{2} +(-0.0610697 - 1.73097i) q^{3} +(2.87553 - 1.04661i) q^{4} +(0.189389 + 0.158916i) q^{5} +(-0.811431 - 3.81075i) q^{6} +(-2.13360 + 1.56453i) q^{7} +(2.06513 - 1.19230i) q^{8} +(-2.99254 + 0.211420i) q^{9} +(0.481626 + 0.278067i) q^{10} +(1.62459 + 1.93611i) q^{11} +(-1.98726 - 4.91355i) q^{12} +(1.75400 + 0.309278i) q^{13} +(-4.11540 + 4.29930i) q^{14} +(0.263514 - 0.337533i) q^{15} +(-0.579195 + 0.486002i) q^{16} +(-0.762476 + 1.32065i) q^{17} +(-6.54675 + 1.63729i) q^{18} +(2.19435 - 1.26691i) q^{19} +(0.710917 + 0.258753i) q^{20} +(2.83846 + 3.59765i) q^{21} +(4.35521 + 3.65446i) q^{22} +(-1.25596 - 3.45073i) q^{23} +(-2.18996 - 3.50186i) q^{24} +(-0.857627 - 4.86384i) q^{25} +4.00643 q^{26} +(0.548716 + 5.16710i) q^{27} +(-4.49777 + 6.73190i) q^{28} +(3.87652 - 0.683536i) q^{29} +(0.451914 - 0.850664i) q^{30} +(-1.99061 - 5.46915i) q^{31} +(-4.15883 + 4.95630i) q^{32} +(3.25215 - 2.93036i) q^{33} +(-1.17324 + 3.22345i) q^{34} +(-0.652710 - 0.0427578i) q^{35} +(-8.38387 + 3.73996i) q^{36} +(-2.37916 + 4.12083i) q^{37} +(4.36625 - 3.66372i) q^{38} +(0.428236 - 3.05502i) q^{39} +(0.580588 + 0.102373i) q^{40} +(-1.68035 + 9.52973i) q^{41} +(7.69331 + 6.86109i) q^{42} +(0.286565 - 0.240457i) q^{43} +(6.69792 + 3.86704i) q^{44} +(-0.600353 - 0.435523i) q^{45} +(-4.13022 - 7.15375i) q^{46} +(-9.71037 - 3.53428i) q^{47} +(0.876628 + 0.972891i) q^{48} +(2.10447 - 6.67617i) q^{49} +(-3.79978 - 10.4398i) q^{50} +(2.33257 + 1.23917i) q^{51} +(5.36738 - 0.946414i) q^{52} +13.1514i q^{53} +(3.23391 + 11.2323i) q^{54} +0.624853i q^{55} +(-2.54075 + 5.77485i) q^{56} +(-2.32700 - 3.72100i) q^{57} +(8.32061 - 3.02846i) q^{58} +(-10.4564 - 8.77396i) q^{59} +(0.404479 - 1.24638i) q^{60} +(3.37457 - 9.27157i) q^{61} +(-6.54609 - 11.3382i) q^{62} +(6.05410 - 5.13301i) q^{63} +(-6.52091 + 11.2945i) q^{64} +(0.283040 + 0.337313i) q^{65} +(6.05980 - 7.76194i) q^{66} +(2.46572 - 13.9838i) q^{67} +(-0.810324 + 4.59558i) q^{68} +(-5.89642 + 2.38477i) q^{69} +(-1.46264 + 0.160237i) q^{70} +(6.63806 + 3.83249i) q^{71} +(-5.92789 + 4.00462i) q^{72} +(12.5886 - 7.26805i) q^{73} +(-3.66087 + 10.0582i) q^{74} +(-8.36681 + 1.78156i) q^{75} +(4.98397 - 5.93967i) q^{76} +(-6.49534 - 1.58916i) q^{77} +(-0.244671 - 6.93502i) q^{78} +(-0.495531 - 2.81029i) q^{79} -0.186927 q^{80} +(8.91060 - 1.26537i) q^{81} +21.7675i q^{82} +(0.711182 + 4.03331i) q^{83} +(11.9274 + 7.37441i) q^{84} +(-0.354277 + 0.128946i) q^{85} +(0.540898 - 0.644617i) q^{86} +(-1.41992 - 6.66842i) q^{87} +(5.66342 + 2.06131i) q^{88} +(4.68984 + 8.12304i) q^{89} +(-1.50008 - 0.730302i) q^{90} +(-4.22621 + 2.08432i) q^{91} +(-7.22311 - 8.60817i) q^{92} +(-9.34538 + 3.77969i) q^{93} +(-22.8918 - 4.03644i) q^{94} +(0.616919 + 0.108780i) q^{95} +(8.83320 + 6.89614i) q^{96} +(7.10327 + 8.46535i) q^{97} +(2.05420 - 15.6117i) q^{98} +(-5.27099 - 5.45043i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 12 q^{2} - 12 q^{4} - 6 q^{7} - 18 q^{8} - 6 q^{9} - 18 q^{11} + 3 q^{14} - 24 q^{15} - 24 q^{16} - 12 q^{18} - 12 q^{21} - 12 q^{22} + 12 q^{23} - 12 q^{25} - 12 q^{28} - 48 q^{29} + 42 q^{30} - 6 q^{32} - 36 q^{35} - 36 q^{36} - 6 q^{37} - 18 q^{39} - 12 q^{43} - 18 q^{44} - 6 q^{46} - 24 q^{49} + 18 q^{50} + 24 q^{51} + 57 q^{56} - 12 q^{58} - 6 q^{60} + 21 q^{63} + 18 q^{64} + 78 q^{65} - 12 q^{67} - 69 q^{70} + 18 q^{71} + 114 q^{72} - 6 q^{74} - 57 q^{77} + 12 q^{78} + 24 q^{79} - 42 q^{81} - 48 q^{84} + 54 q^{85} - 42 q^{86} - 72 q^{88} + 6 q^{91} - 120 q^{92} - 60 q^{93} + 126 q^{95} + 126 q^{98} - 192 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.21529 0.390615i 1.56644 0.276206i 0.677955 0.735103i \(-0.262866\pi\)
0.888489 + 0.458897i \(0.151755\pi\)
\(3\) −0.0610697 1.73097i −0.0352586 0.999378i
\(4\) 2.87553 1.04661i 1.43777 0.523304i
\(5\) 0.189389 + 0.158916i 0.0846974 + 0.0710695i 0.684153 0.729338i \(-0.260172\pi\)
−0.599456 + 0.800408i \(0.704616\pi\)
\(6\) −0.811431 3.81075i −0.331265 1.55573i
\(7\) −2.13360 + 1.56453i −0.806424 + 0.591338i
\(8\) 2.06513 1.19230i 0.730132 0.421542i
\(9\) −2.99254 + 0.211420i −0.997514 + 0.0704734i
\(10\) 0.481626 + 0.278067i 0.152304 + 0.0879325i
\(11\) 1.62459 + 1.93611i 0.489833 + 0.583760i 0.953175 0.302419i \(-0.0977943\pi\)
−0.463342 + 0.886180i \(0.653350\pi\)
\(12\) −1.98726 4.91355i −0.573672 1.41842i
\(13\) 1.75400 + 0.309278i 0.486473 + 0.0857783i 0.411505 0.911408i \(-0.365003\pi\)
0.0749681 + 0.997186i \(0.476114\pi\)
\(14\) −4.11540 + 4.29930i −1.09989 + 1.14904i
\(15\) 0.263514 0.337533i 0.0680390 0.0871505i
\(16\) −0.579195 + 0.486002i −0.144799 + 0.121501i
\(17\) −0.762476 + 1.32065i −0.184928 + 0.320304i −0.943552 0.331224i \(-0.892538\pi\)
0.758625 + 0.651528i \(0.225872\pi\)
\(18\) −6.54675 + 1.63729i −1.54308 + 0.385912i
\(19\) 2.19435 1.26691i 0.503419 0.290649i −0.226705 0.973963i \(-0.572795\pi\)
0.730124 + 0.683314i \(0.239462\pi\)
\(20\) 0.710917 + 0.258753i 0.158966 + 0.0578589i
\(21\) 2.83846 + 3.59765i 0.619404 + 0.785073i
\(22\) 4.35521 + 3.65446i 0.928535 + 0.779133i
\(23\) −1.25596 3.45073i −0.261886 0.719526i −0.999040 0.0438016i \(-0.986053\pi\)
0.737154 0.675725i \(-0.236169\pi\)
\(24\) −2.18996 3.50186i −0.447023 0.714815i
\(25\) −0.857627 4.86384i −0.171525 0.972769i
\(26\) 4.00643 0.785725
\(27\) 0.548716 + 5.16710i 0.105600 + 0.994409i
\(28\) −4.49777 + 6.73190i −0.849999 + 1.27221i
\(29\) 3.87652 0.683536i 0.719852 0.126929i 0.198291 0.980143i \(-0.436461\pi\)
0.521561 + 0.853214i \(0.325350\pi\)
\(30\) 0.451914 0.850664i 0.0825078 0.155309i
\(31\) −1.99061 5.46915i −0.357523 0.982288i −0.979886 0.199558i \(-0.936049\pi\)
0.622362 0.782729i \(-0.286173\pi\)
\(32\) −4.15883 + 4.95630i −0.735184 + 0.876158i
\(33\) 3.25215 2.93036i 0.566127 0.510111i
\(34\) −1.17324 + 3.22345i −0.201209 + 0.552817i
\(35\) −0.652710 0.0427578i −0.110328 0.00722739i
\(36\) −8.38387 + 3.73996i −1.39731 + 0.623327i
\(37\) −2.37916 + 4.12083i −0.391132 + 0.677460i −0.992599 0.121437i \(-0.961250\pi\)
0.601467 + 0.798897i \(0.294583\pi\)
\(38\) 4.36625 3.66372i 0.708299 0.594334i
\(39\) 0.428236 3.05502i 0.0685726 0.489195i
\(40\) 0.580588 + 0.102373i 0.0917990 + 0.0161866i
\(41\) −1.68035 + 9.52973i −0.262426 + 1.48829i 0.513838 + 0.857887i \(0.328223\pi\)
−0.776265 + 0.630407i \(0.782888\pi\)
\(42\) 7.69331 + 6.86109i 1.18710 + 1.05869i
\(43\) 0.286565 0.240457i 0.0437008 0.0366693i −0.620676 0.784067i \(-0.713142\pi\)
0.664376 + 0.747398i \(0.268697\pi\)
\(44\) 6.69792 + 3.86704i 1.00975 + 0.582979i
\(45\) −0.600353 0.435523i −0.0894953 0.0649239i
\(46\) −4.13022 7.15375i −0.608968 1.05476i
\(47\) −9.71037 3.53428i −1.41640 0.515528i −0.483401 0.875399i \(-0.660599\pi\)
−0.933002 + 0.359871i \(0.882821\pi\)
\(48\) 0.876628 + 0.972891i 0.126530 + 0.140425i
\(49\) 2.10447 6.67617i 0.300639 0.953738i
\(50\) −3.79978 10.4398i −0.537370 1.47641i
\(51\) 2.33257 + 1.23917i 0.326625 + 0.173519i
\(52\) 5.36738 0.946414i 0.744322 0.131244i
\(53\) 13.1514i 1.80648i 0.429133 + 0.903241i \(0.358819\pi\)
−0.429133 + 0.903241i \(0.641181\pi\)
\(54\) 3.23391 + 11.2323i 0.440079 + 1.52852i
\(55\) 0.624853i 0.0842552i
\(56\) −2.54075 + 5.77485i −0.339522 + 0.771696i
\(57\) −2.32700 3.72100i −0.308218 0.492858i
\(58\) 8.32061 3.02846i 1.09255 0.397656i
\(59\) −10.4564 8.77396i −1.36131 1.14227i −0.975576 0.219661i \(-0.929505\pi\)
−0.385731 0.922611i \(-0.626051\pi\)
\(60\) 0.404479 1.24638i 0.0522180 0.160907i
\(61\) 3.37457 9.27157i 0.432070 1.18710i −0.512470 0.858705i \(-0.671269\pi\)
0.944540 0.328397i \(-0.106508\pi\)
\(62\) −6.54609 11.3382i −0.831355 1.43995i
\(63\) 6.05410 5.13301i 0.762745 0.646699i
\(64\) −6.52091 + 11.2945i −0.815113 + 1.41182i
\(65\) 0.283040 + 0.337313i 0.0351067 + 0.0418386i
\(66\) 6.05980 7.76194i 0.745910 0.955428i
\(67\) 2.46572 13.9838i 0.301236 1.70839i −0.339477 0.940614i \(-0.610250\pi\)
0.640713 0.767780i \(-0.278639\pi\)
\(68\) −0.810324 + 4.59558i −0.0982662 + 0.557295i
\(69\) −5.89642 + 2.38477i −0.709845 + 0.287093i
\(70\) −1.46264 + 0.160237i −0.174819 + 0.0191520i
\(71\) 6.63806 + 3.83249i 0.787793 + 0.454832i 0.839185 0.543846i \(-0.183032\pi\)
−0.0513921 + 0.998679i \(0.516366\pi\)
\(72\) −5.92789 + 4.00462i −0.698609 + 0.471949i
\(73\) 12.5886 7.26805i 1.47339 0.850661i 0.473836 0.880613i \(-0.342869\pi\)
0.999551 + 0.0299520i \(0.00953546\pi\)
\(74\) −3.66087 + 10.0582i −0.425567 + 1.16924i
\(75\) −8.36681 + 1.78156i −0.966116 + 0.205717i
\(76\) 4.98397 5.93967i 0.571701 0.681327i
\(77\) −6.49534 1.58916i −0.740213 0.181101i
\(78\) −0.244671 6.93502i −0.0277036 0.785237i
\(79\) −0.495531 2.81029i −0.0557516 0.316183i 0.944160 0.329488i \(-0.106876\pi\)
−0.999911 + 0.0133047i \(0.995765\pi\)
\(80\) −0.186927 −0.0208991
\(81\) 8.91060 1.26537i 0.990067 0.140596i
\(82\) 21.7675i 2.40381i
\(83\) 0.711182 + 4.03331i 0.0780624 + 0.442714i 0.998639 + 0.0521520i \(0.0166080\pi\)
−0.920577 + 0.390562i \(0.872281\pi\)
\(84\) 11.9274 + 7.37441i 1.30139 + 0.804614i
\(85\) −0.354277 + 0.128946i −0.0384267 + 0.0139862i
\(86\) 0.540898 0.644617i 0.0583265 0.0695109i
\(87\) −1.41992 6.66842i −0.152231 0.714929i
\(88\) 5.66342 + 2.06131i 0.603722 + 0.219737i
\(89\) 4.68984 + 8.12304i 0.497122 + 0.861040i 0.999994 0.00332032i \(-0.00105689\pi\)
−0.502873 + 0.864360i \(0.667724\pi\)
\(90\) −1.50008 0.730302i −0.158122 0.0769805i
\(91\) −4.22621 + 2.08432i −0.443027 + 0.218496i
\(92\) −7.22311 8.60817i −0.753062 0.897464i
\(93\) −9.34538 + 3.77969i −0.969071 + 0.391935i
\(94\) −22.8918 4.03644i −2.36111 0.416327i
\(95\) 0.616919 + 0.108780i 0.0632946 + 0.0111605i
\(96\) 8.83320 + 6.89614i 0.901535 + 0.703834i
\(97\) 7.10327 + 8.46535i 0.721228 + 0.859526i 0.994750 0.102340i \(-0.0326329\pi\)
−0.273521 + 0.961866i \(0.588188\pi\)
\(98\) 2.05420 15.6117i 0.207505 1.57702i
\(99\) −5.27099 5.45043i −0.529755 0.547789i
\(100\) −7.55667 13.0885i −0.755667 1.30885i
\(101\) 7.70374 + 2.80393i 0.766551 + 0.279002i 0.695553 0.718475i \(-0.255159\pi\)
0.0709976 + 0.997476i \(0.477382\pi\)
\(102\) 5.65135 + 1.83399i 0.559567 + 0.181592i
\(103\) −7.42015 + 8.84299i −0.731129 + 0.871326i −0.995661 0.0930509i \(-0.970338\pi\)
0.264532 + 0.964377i \(0.414783\pi\)
\(104\) 3.99099 1.45260i 0.391348 0.142439i
\(105\) −0.0341519 + 1.13243i −0.00333289 + 0.110514i
\(106\) 5.13713 + 29.1341i 0.498962 + 2.82975i
\(107\) 1.18041i 0.114115i −0.998371 0.0570575i \(-0.981828\pi\)
0.998371 0.0570575i \(-0.0181718\pi\)
\(108\) 6.98578 + 14.2839i 0.672207 + 1.37447i
\(109\) 0.659771 0.0631946 0.0315973 0.999501i \(-0.489941\pi\)
0.0315973 + 0.999501i \(0.489941\pi\)
\(110\) 0.244077 + 1.38423i 0.0232718 + 0.131981i
\(111\) 7.27834 + 3.86661i 0.690830 + 0.367002i
\(112\) 0.475402 1.94310i 0.0449212 0.183606i
\(113\) 6.83159 8.14158i 0.642662 0.765895i −0.342126 0.939654i \(-0.611147\pi\)
0.984788 + 0.173759i \(0.0555914\pi\)
\(114\) −6.60845 7.33412i −0.618938 0.686903i
\(115\) 0.310511 0.853123i 0.0289553 0.0795541i
\(116\) 10.4317 6.02273i 0.968556 0.559196i
\(117\) −5.31431 0.554696i −0.491308 0.0512816i
\(118\) −26.5912 15.3524i −2.44791 1.41330i
\(119\) −0.439380 4.01065i −0.0402779 0.367656i
\(120\) 0.141749 1.01123i 0.0129399 0.0923127i
\(121\) 0.800894 4.54209i 0.0728085 0.412918i
\(122\) 3.85404 21.8573i 0.348928 1.97887i
\(123\) 16.5983 + 2.32666i 1.49662 + 0.209788i
\(124\) −11.4481 13.6433i −1.02807 1.22521i
\(125\) 1.22859 2.12799i 0.109889 0.190333i
\(126\) 11.4065 13.7359i 1.01618 1.22369i
\(127\) 2.83297 + 4.90684i 0.251385 + 0.435412i 0.963907 0.266238i \(-0.0857806\pi\)
−0.712522 + 0.701649i \(0.752447\pi\)
\(128\) −5.60813 + 15.4082i −0.495694 + 1.36191i
\(129\) −0.433725 0.481352i −0.0381873 0.0423807i
\(130\) 0.758774 + 0.636687i 0.0665489 + 0.0558411i
\(131\) 8.53948 3.10811i 0.746097 0.271557i 0.0591348 0.998250i \(-0.481166\pi\)
0.686963 + 0.726693i \(0.258944\pi\)
\(132\) 6.28471 11.8301i 0.547014 1.02968i
\(133\) −2.69974 + 6.13622i −0.234097 + 0.532077i
\(134\) 31.9413i 2.75931i
\(135\) −0.717215 + 1.06579i −0.0617281 + 0.0917288i
\(136\) 3.63640i 0.311819i
\(137\) −5.95521 + 1.05006i −0.508788 + 0.0897131i −0.422149 0.906527i \(-0.638724\pi\)
−0.0866395 + 0.996240i \(0.527613\pi\)
\(138\) −12.1307 + 7.58618i −1.03264 + 0.645779i
\(139\) −1.09610 3.01151i −0.0929700 0.255433i 0.884488 0.466563i \(-0.154508\pi\)
−0.977458 + 0.211130i \(0.932286\pi\)
\(140\) −1.92164 + 0.560180i −0.162408 + 0.0473438i
\(141\) −5.52475 + 17.0242i −0.465267 + 1.43370i
\(142\) 16.2022 + 5.89713i 1.35966 + 0.494876i
\(143\) 2.25074 + 3.89840i 0.188216 + 0.326001i
\(144\) 1.63051 1.57683i 0.135876 0.131403i
\(145\) 0.842796 + 0.486589i 0.0699904 + 0.0404090i
\(146\) 25.0484 21.0181i 2.07302 1.73947i
\(147\) −11.6848 3.23507i −0.963745 0.266824i
\(148\) −2.52846 + 14.3396i −0.207838 + 1.17871i
\(149\) 5.53630 + 0.976200i 0.453552 + 0.0799734i 0.395757 0.918355i \(-0.370482\pi\)
0.0577944 + 0.998329i \(0.481593\pi\)
\(150\) −17.8390 + 7.21488i −1.45655 + 0.589092i
\(151\) −6.10710 + 5.12447i −0.496989 + 0.417023i −0.856523 0.516109i \(-0.827380\pi\)
0.359534 + 0.933132i \(0.382936\pi\)
\(152\) 3.02108 5.23266i 0.245042 0.424425i
\(153\) 2.00253 4.11329i 0.161895 0.332540i
\(154\) −15.0098 0.983264i −1.20952 0.0792337i
\(155\) 0.492137 1.35214i 0.0395294 0.108606i
\(156\) −1.96600 9.23300i −0.157406 0.739232i
\(157\) −13.6396 + 16.2551i −1.08856 + 1.29730i −0.136753 + 0.990605i \(0.543667\pi\)
−0.951809 + 0.306692i \(0.900778\pi\)
\(158\) −2.19549 6.03205i −0.174663 0.479884i
\(159\) 22.7647 0.803151i 1.80536 0.0636941i
\(160\) −1.57527 + 0.277763i −0.124536 + 0.0219591i
\(161\) 8.07849 + 5.39747i 0.636674 + 0.425380i
\(162\) 19.2453 6.28376i 1.51205 0.493699i
\(163\) 16.5748 1.29823 0.649117 0.760688i \(-0.275138\pi\)
0.649117 + 0.760688i \(0.275138\pi\)
\(164\) 5.14200 + 29.1617i 0.401523 + 2.27715i
\(165\) 1.08160 0.0381596i 0.0842028 0.00297072i
\(166\) 3.15094 + 8.65715i 0.244561 + 0.671925i
\(167\) 2.98872 + 2.50784i 0.231274 + 0.194062i 0.751059 0.660235i \(-0.229543\pi\)
−0.519785 + 0.854297i \(0.673988\pi\)
\(168\) 10.1513 + 4.04531i 0.783187 + 0.312102i
\(169\) −9.23513 3.36131i −0.710395 0.258563i
\(170\) −0.734457 + 0.424039i −0.0563303 + 0.0325223i
\(171\) −6.29884 + 4.25521i −0.481685 + 0.325404i
\(172\) 0.572363 0.991362i 0.0436423 0.0755906i
\(173\) −8.15850 + 6.84580i −0.620279 + 0.520476i −0.897891 0.440217i \(-0.854902\pi\)
0.277612 + 0.960693i \(0.410457\pi\)
\(174\) −5.75031 14.2178i −0.435930 1.07785i
\(175\) 9.43948 + 9.03570i 0.713557 + 0.683035i
\(176\) −1.88191 0.331832i −0.141854 0.0250128i
\(177\) −14.5489 + 18.6356i −1.09356 + 1.40074i
\(178\) 13.5623 + 16.1629i 1.01654 + 1.21146i
\(179\) −14.0703 8.12350i −1.05166 0.607179i −0.128549 0.991703i \(-0.541032\pi\)
−0.923115 + 0.384524i \(0.874365\pi\)
\(180\) −2.18215 0.624026i −0.162648 0.0465121i
\(181\) 8.40715 4.85387i 0.624899 0.360785i −0.153875 0.988090i \(-0.549175\pi\)
0.778774 + 0.627305i \(0.215842\pi\)
\(182\) −8.54810 + 6.26819i −0.633627 + 0.464629i
\(183\) −16.2549 5.27509i −1.20160 0.389946i
\(184\) −6.70802 5.62870i −0.494522 0.414953i
\(185\) −1.10545 + 0.402352i −0.0812746 + 0.0295815i
\(186\) −19.2263 + 12.0235i −1.40974 + 0.881608i
\(187\) −3.79564 + 0.669273i −0.277564 + 0.0489421i
\(188\) −31.6215 −2.30623
\(189\) −9.25484 10.1660i −0.673190 0.739469i
\(190\) 1.40914 0.102230
\(191\) 10.4643 1.84513i 0.757167 0.133509i 0.218279 0.975886i \(-0.429956\pi\)
0.538888 + 0.842377i \(0.318845\pi\)
\(192\) 19.9488 + 10.5978i 1.43968 + 0.764828i
\(193\) −22.3075 + 8.11926i −1.60573 + 0.584437i −0.980589 0.196076i \(-0.937180\pi\)
−0.625139 + 0.780513i \(0.714958\pi\)
\(194\) 19.0425 + 15.9785i 1.36717 + 1.14719i
\(195\) 0.566596 0.510534i 0.0405748 0.0365601i
\(196\) −0.935853 21.4001i −0.0668467 1.52858i
\(197\) −12.9739 + 7.49048i −0.924351 + 0.533674i −0.885021 0.465552i \(-0.845856\pi\)
−0.0393306 + 0.999226i \(0.512523\pi\)
\(198\) −13.8058 10.0153i −0.981134 0.711759i
\(199\) −6.29012 3.63160i −0.445895 0.257437i 0.260200 0.965555i \(-0.416211\pi\)
−0.706095 + 0.708117i \(0.749545\pi\)
\(200\) −7.57027 9.02190i −0.535299 0.637945i
\(201\) −24.3562 3.41412i −1.71795 0.240813i
\(202\) 18.1612 + 3.20232i 1.27782 + 0.225314i
\(203\) −7.20152 + 7.52334i −0.505448 + 0.528035i
\(204\) 8.00431 + 1.12200i 0.560414 + 0.0785557i
\(205\) −1.83267 + 1.53779i −0.127999 + 0.107404i
\(206\) −12.9836 + 22.4882i −0.904608 + 1.56683i
\(207\) 4.48807 + 10.0609i 0.311942 + 0.699281i
\(208\) −1.16622 + 0.673317i −0.0808627 + 0.0466861i
\(209\) 6.01781 + 2.19031i 0.416261 + 0.151507i
\(210\) 0.366690 + 2.52201i 0.0253040 + 0.174035i
\(211\) −3.67430 3.08310i −0.252949 0.212249i 0.507492 0.861657i \(-0.330573\pi\)
−0.760441 + 0.649407i \(0.775017\pi\)
\(212\) 13.7643 + 37.8172i 0.945339 + 2.59730i
\(213\) 6.22855 11.7244i 0.426773 0.803340i
\(214\) −0.461087 2.61496i −0.0315193 0.178755i
\(215\) 0.0924848 0.00630741
\(216\) 7.29390 + 10.0165i 0.496287 + 0.681534i
\(217\) 12.8038 + 8.55458i 0.869179 + 0.580723i
\(218\) 1.46158 0.257716i 0.0989909 0.0174548i
\(219\) −13.3496 21.3467i −0.902082 1.44248i
\(220\) 0.653976 + 1.79678i 0.0440911 + 0.121139i
\(221\) −1.74583 + 2.08060i −0.117437 + 0.139956i
\(222\) 17.6340 + 5.72262i 1.18351 + 0.384077i
\(223\) −8.88852 + 24.4210i −0.595219 + 1.63535i 0.165454 + 0.986217i \(0.447091\pi\)
−0.760674 + 0.649134i \(0.775131\pi\)
\(224\) 1.11897 17.0814i 0.0747643 1.14130i
\(225\) 3.59480 + 14.3739i 0.239653 + 0.958262i
\(226\) 11.9537 20.7045i 0.795150 1.37724i
\(227\) 7.42394 6.22942i 0.492744 0.413461i −0.362265 0.932075i \(-0.617996\pi\)
0.855008 + 0.518614i \(0.173552\pi\)
\(228\) −10.5858 8.26440i −0.701061 0.547323i
\(229\) 12.7191 + 2.24273i 0.840505 + 0.148204i 0.577296 0.816535i \(-0.304108\pi\)
0.263209 + 0.964739i \(0.415219\pi\)
\(230\) 0.354629 2.01120i 0.0233836 0.132615i
\(231\) −2.35412 + 11.3403i −0.154890 + 0.746138i
\(232\) 7.19052 6.03357i 0.472081 0.396123i
\(233\) 9.80905 + 5.66326i 0.642612 + 0.371012i 0.785620 0.618709i \(-0.212344\pi\)
−0.143008 + 0.989722i \(0.545677\pi\)
\(234\) −11.9894 + 0.847039i −0.783772 + 0.0553727i
\(235\) −1.27738 2.21249i −0.0833272 0.144327i
\(236\) −39.2506 14.2860i −2.55500 0.929942i
\(237\) −4.83429 + 1.02937i −0.314021 + 0.0668651i
\(238\) −2.53997 8.71311i −0.164642 0.564787i
\(239\) 2.79959 + 7.69181i 0.181090 + 0.497542i 0.996710 0.0810462i \(-0.0258261\pi\)
−0.815620 + 0.578588i \(0.803604\pi\)
\(240\) 0.0114156 + 0.323565i 0.000736872 + 0.0208861i
\(241\) 19.2690 3.39765i 1.24123 0.218862i 0.485786 0.874078i \(-0.338533\pi\)
0.755442 + 0.655215i \(0.227422\pi\)
\(242\) 10.3749i 0.666923i
\(243\) −2.73448 15.3467i −0.175417 0.984494i
\(244\) 30.1925i 1.93288i
\(245\) 1.45952 0.929958i 0.0932450 0.0594128i
\(246\) 37.6789 1.32933i 2.40232 0.0847551i
\(247\) 4.24073 1.54350i 0.269831 0.0982105i
\(248\) −10.6317 8.92107i −0.675115 0.566488i
\(249\) 6.93813 1.47735i 0.439686 0.0936233i
\(250\) 1.89046 5.19401i 0.119563 0.328498i
\(251\) 7.18348 + 12.4422i 0.453417 + 0.785342i 0.998596 0.0529781i \(-0.0168714\pi\)
−0.545178 + 0.838320i \(0.683538\pi\)
\(252\) 12.0365 21.0964i 0.758229 1.32895i
\(253\) 4.64057 8.03771i 0.291750 0.505326i
\(254\) 8.19252 + 9.76346i 0.514044 + 0.612614i
\(255\) 0.244838 + 0.605370i 0.0153324 + 0.0379097i
\(256\) −1.87557 + 10.6369i −0.117223 + 0.664805i
\(257\) 2.60356 14.7655i 0.162405 0.921047i −0.789294 0.614015i \(-0.789553\pi\)
0.951699 0.307031i \(-0.0993356\pi\)
\(258\) −1.14885 0.896914i −0.0715242 0.0558394i
\(259\) −1.37100 12.5145i −0.0851899 0.777611i
\(260\) 1.16692 + 0.673724i 0.0723696 + 0.0417826i
\(261\) −11.4561 + 2.86508i −0.709117 + 0.177344i
\(262\) 17.7033 10.2210i 1.09371 0.631456i
\(263\) −0.726566 + 1.99622i −0.0448020 + 0.123092i −0.960076 0.279740i \(-0.909752\pi\)
0.915274 + 0.402832i \(0.131974\pi\)
\(264\) 3.22222 9.92911i 0.198314 0.611094i
\(265\) −2.08997 + 2.49073i −0.128386 + 0.153004i
\(266\) −3.58381 + 14.6480i −0.219737 + 0.898129i
\(267\) 13.7744 8.61406i 0.842977 0.527172i
\(268\) −7.54530 42.7915i −0.460903 2.61391i
\(269\) −9.24319 −0.563567 −0.281784 0.959478i \(-0.590926\pi\)
−0.281784 + 0.959478i \(0.590926\pi\)
\(270\) −1.17252 + 2.64119i −0.0713575 + 0.160738i
\(271\) 7.42441i 0.451000i −0.974243 0.225500i \(-0.927598\pi\)
0.974243 0.225500i \(-0.0724016\pi\)
\(272\) −0.200215 1.13548i −0.0121398 0.0688484i
\(273\) 3.86600 + 7.18817i 0.233981 + 0.435048i
\(274\) −12.7823 + 4.65239i −0.772209 + 0.281061i
\(275\) 8.02366 9.56223i 0.483845 0.576624i
\(276\) −14.4594 + 13.0287i −0.870354 + 0.784237i
\(277\) −5.30522 1.93094i −0.318760 0.116019i 0.177685 0.984087i \(-0.443139\pi\)
−0.496445 + 0.868068i \(0.665361\pi\)
\(278\) −3.60452 6.24320i −0.216184 0.374442i
\(279\) 7.11326 + 15.9458i 0.425860 + 0.954649i
\(280\) −1.39891 + 0.689926i −0.0836007 + 0.0412310i
\(281\) −1.34223 1.59961i −0.0800710 0.0954249i 0.724522 0.689252i \(-0.242061\pi\)
−0.804593 + 0.593827i \(0.797616\pi\)
\(282\) −5.58898 + 39.8716i −0.332819 + 2.37432i
\(283\) −13.0874 2.30766i −0.777965 0.137176i −0.229454 0.973319i \(-0.573694\pi\)
−0.548511 + 0.836143i \(0.684805\pi\)
\(284\) 23.0991 + 4.07299i 1.37068 + 0.241687i
\(285\) 0.150619 1.07451i 0.00892193 0.0636488i
\(286\) 6.50881 + 7.75690i 0.384874 + 0.458675i
\(287\) −11.3244 22.9616i −0.668458 1.35538i
\(288\) 11.3976 15.7112i 0.671610 0.925790i
\(289\) 7.33726 + 12.7085i 0.431604 + 0.747559i
\(290\) 2.05710 + 0.748725i 0.120797 + 0.0439666i
\(291\) 14.2195 12.8126i 0.833562 0.751085i
\(292\) 28.5922 34.0749i 1.67323 1.99408i
\(293\) −16.6632 + 6.06492i −0.973477 + 0.354317i −0.779301 0.626650i \(-0.784426\pi\)
−0.194176 + 0.980967i \(0.562203\pi\)
\(294\) −27.1488 2.60237i −1.58335 0.151773i
\(295\) −0.586002 3.32338i −0.0341184 0.193495i
\(296\) 11.3467i 0.659514i
\(297\) −9.11265 + 9.45681i −0.528770 + 0.548740i
\(298\) 12.6458 0.732553
\(299\) −1.13573 6.44102i −0.0656808 0.372494i
\(300\) −22.1944 + 13.8797i −1.28140 + 0.801346i
\(301\) −0.235212 + 0.961378i −0.0135574 + 0.0554129i
\(302\) −11.5273 + 13.7377i −0.663321 + 0.790515i
\(303\) 4.38307 13.5062i 0.251801 0.775911i
\(304\) −0.655237 + 1.80025i −0.0375804 + 0.103251i
\(305\) 2.11251 1.21966i 0.120962 0.0698374i
\(306\) 2.82946 9.89435i 0.161750 0.565622i
\(307\) 13.2930 + 7.67469i 0.758669 + 0.438018i 0.828818 0.559519i \(-0.189014\pi\)
−0.0701488 + 0.997537i \(0.522347\pi\)
\(308\) −20.3408 + 2.22840i −1.15902 + 0.126975i
\(309\) 15.7601 + 12.3041i 0.896563 + 0.699953i
\(310\) 0.562061 3.18761i 0.0319229 0.181044i
\(311\) 3.78764 21.4808i 0.214778 1.21806i −0.666514 0.745492i \(-0.732215\pi\)
0.881292 0.472572i \(-0.156674\pi\)
\(312\) −2.75814 6.81958i −0.156149 0.386083i
\(313\) −15.1193 18.0185i −0.854593 1.01846i −0.999579 0.0290309i \(-0.990758\pi\)
0.144985 0.989434i \(-0.453687\pi\)
\(314\) −23.8662 + 41.3375i −1.34685 + 2.33281i
\(315\) 1.96230 0.0100414i 0.110563 0.000565766i
\(316\) −4.36619 7.56246i −0.245617 0.425422i
\(317\) 0.405532 1.11419i 0.0227769 0.0625791i −0.927783 0.373120i \(-0.878288\pi\)
0.950560 + 0.310541i \(0.100510\pi\)
\(318\) 50.1167 10.6714i 2.81040 0.598425i
\(319\) 7.62117 + 6.39492i 0.426704 + 0.358047i
\(320\) −3.02988 + 1.10278i −0.169375 + 0.0616475i
\(321\) −2.04327 + 0.0720875i −0.114044 + 0.00402353i
\(322\) 20.0045 + 8.80136i 1.11481 + 0.490480i
\(323\) 3.86396i 0.214996i
\(324\) 24.2984 12.9645i 1.34991 0.720250i
\(325\) 8.79644i 0.487939i
\(326\) 36.7178 6.47434i 2.03361 0.358581i
\(327\) −0.0402920 1.14205i −0.00222815 0.0631553i
\(328\) 7.89218 + 21.6836i 0.435772 + 1.19728i
\(329\) 26.2475 7.65145i 1.44707 0.421838i
\(330\) 2.38116 0.507025i 0.131078 0.0279108i
\(331\) 20.8521 + 7.58954i 1.14614 + 0.417159i 0.844125 0.536146i \(-0.180120\pi\)
0.302010 + 0.953305i \(0.402343\pi\)
\(332\) 6.26632 + 10.8536i 0.343909 + 0.595668i
\(333\) 6.24851 12.8348i 0.342416 0.703340i
\(334\) 7.60048 + 4.38814i 0.415880 + 0.240108i
\(335\) 2.68924 2.25654i 0.146929 0.123288i
\(336\) −3.39249 0.704243i −0.185076 0.0384196i
\(337\) 3.95064 22.4052i 0.215205 1.22049i −0.665346 0.746535i \(-0.731716\pi\)
0.880551 0.473952i \(-0.157173\pi\)
\(338\) −21.7714 3.83889i −1.18421 0.208808i
\(339\) −14.5101 11.3281i −0.788078 0.615258i
\(340\) −0.883779 + 0.741578i −0.0479296 + 0.0402177i
\(341\) 7.35497 12.7392i 0.398294 0.689865i
\(342\) −12.2916 + 11.8869i −0.664653 + 0.642772i
\(343\) 5.95499 + 17.5368i 0.321539 + 0.946896i
\(344\) 0.305096 0.838245i 0.0164497 0.0451951i
\(345\) −1.49570 0.485387i −0.0805256 0.0261324i
\(346\) −15.3994 + 18.3522i −0.827874 + 0.986622i
\(347\) −0.389617 1.07047i −0.0209158 0.0574656i 0.928795 0.370593i \(-0.120846\pi\)
−0.949711 + 0.313127i \(0.898623\pi\)
\(348\) −11.0622 17.6891i −0.592998 0.948237i
\(349\) −23.4750 + 4.13927i −1.25659 + 0.221570i −0.762010 0.647565i \(-0.775788\pi\)
−0.494575 + 0.869135i \(0.664676\pi\)
\(350\) 24.4406 + 16.3295i 1.30641 + 0.872847i
\(351\) −0.635620 + 9.23281i −0.0339269 + 0.492811i
\(352\) −16.3524 −0.871583
\(353\) 4.76549 + 27.0265i 0.253642 + 1.43847i 0.799535 + 0.600619i \(0.205079\pi\)
−0.545894 + 0.837854i \(0.683810\pi\)
\(354\) −24.9507 + 46.9662i −1.32612 + 2.49622i
\(355\) 0.648132 + 1.78073i 0.0343993 + 0.0945112i
\(356\) 21.9874 + 18.4496i 1.16533 + 0.977828i
\(357\) −6.91549 + 1.00548i −0.366007 + 0.0532159i
\(358\) −34.3429 12.4998i −1.81508 0.660635i
\(359\) −9.10590 + 5.25730i −0.480591 + 0.277469i −0.720663 0.693286i \(-0.756162\pi\)
0.240072 + 0.970755i \(0.422829\pi\)
\(360\) −1.75908 0.183608i −0.0927115 0.00967702i
\(361\) −6.28987 + 10.8944i −0.331046 + 0.573388i
\(362\) 16.7283 14.0367i 0.879218 0.737751i
\(363\) −7.91115 1.10894i −0.415228 0.0582043i
\(364\) −9.97113 + 10.4167i −0.522629 + 0.545984i
\(365\) 3.53916 + 0.624050i 0.185248 + 0.0326642i
\(366\) −38.0698 5.33642i −1.98994 0.278939i
\(367\) 6.44084 + 7.67590i 0.336209 + 0.400679i 0.907488 0.420077i \(-0.137997\pi\)
−0.571279 + 0.820756i \(0.693553\pi\)
\(368\) 2.40451 + 1.38824i 0.125344 + 0.0723672i
\(369\) 3.01374 28.8734i 0.156889 1.50309i
\(370\) −2.29173 + 1.32313i −0.119142 + 0.0687864i
\(371\) −20.5758 28.0598i −1.06824 1.45679i
\(372\) −22.9171 + 20.6496i −1.18820 + 1.07063i
\(373\) −2.42983 2.03887i −0.125812 0.105569i 0.577711 0.816242i \(-0.303946\pi\)
−0.703523 + 0.710673i \(0.748391\pi\)
\(374\) −8.14700 + 2.96526i −0.421271 + 0.153330i
\(375\) −3.75852 1.99671i −0.194089 0.103110i
\(376\) −24.2671 + 4.27894i −1.25148 + 0.220669i
\(377\) 7.01083 0.361076
\(378\) −24.4731 18.9056i −1.25876 0.972398i
\(379\) −12.4475 −0.639388 −0.319694 0.947521i \(-0.603580\pi\)
−0.319694 + 0.947521i \(0.603580\pi\)
\(380\) 1.88782 0.332874i 0.0968432 0.0170761i
\(381\) 8.32060 5.20345i 0.426277 0.266581i
\(382\) 22.4606 8.17499i 1.14918 0.418269i
\(383\) −5.86366 4.92020i −0.299619 0.251410i 0.480567 0.876958i \(-0.340431\pi\)
−0.780186 + 0.625548i \(0.784875\pi\)
\(384\) 27.0137 + 8.76656i 1.37854 + 0.447366i
\(385\) −0.977603 1.33318i −0.0498233 0.0679454i
\(386\) −46.2460 + 26.7001i −2.35386 + 1.35900i
\(387\) −0.806721 + 0.780162i −0.0410079 + 0.0396579i
\(388\) 29.2856 + 16.9080i 1.48675 + 0.858376i
\(389\) −6.85223 8.16617i −0.347422 0.414041i 0.563830 0.825891i \(-0.309327\pi\)
−0.911252 + 0.411850i \(0.864883\pi\)
\(390\) 1.05575 1.35230i 0.0534600 0.0684764i
\(391\) 5.51483 + 0.972414i 0.278897 + 0.0491771i
\(392\) −3.61400 16.2963i −0.182535 0.823086i
\(393\) −5.90157 14.5918i −0.297695 0.736059i
\(394\) −25.8150 + 21.6614i −1.30054 + 1.09128i
\(395\) 0.352754 0.610987i 0.0177490 0.0307421i
\(396\) −20.8614 10.1562i −1.04832 0.510369i
\(397\) −5.75436 + 3.32228i −0.288803 + 0.166740i −0.637402 0.770532i \(-0.719991\pi\)
0.348599 + 0.937272i \(0.386658\pi\)
\(398\) −15.3530 5.58803i −0.769575 0.280103i
\(399\) 10.7865 + 4.29845i 0.540001 + 0.215192i
\(400\) 2.86057 + 2.40031i 0.143029 + 0.120015i
\(401\) −3.76980 10.3574i −0.188255 0.517226i 0.809278 0.587426i \(-0.199859\pi\)
−0.997533 + 0.0701997i \(0.977636\pi\)
\(402\) −55.2896 + 1.95065i −2.75759 + 0.0972894i
\(403\) −1.80004 10.2085i −0.0896665 0.508524i
\(404\) 25.0870 1.24812
\(405\) 1.88866 + 1.17639i 0.0938482 + 0.0584555i
\(406\) −13.0147 + 19.4794i −0.645909 + 0.966745i
\(407\) −11.8436 + 2.08834i −0.587064 + 0.103515i
\(408\) 6.29452 0.222074i 0.311625 0.0109943i
\(409\) −2.85868 7.85416i −0.141353 0.388363i 0.848734 0.528820i \(-0.177365\pi\)
−0.990087 + 0.140456i \(0.955143\pi\)
\(410\) −3.45921 + 4.12252i −0.170838 + 0.203597i
\(411\) 2.18132 + 10.2442i 0.107596 + 0.505308i
\(412\) −12.0817 + 33.1943i −0.595224 + 1.63537i
\(413\) 36.0369 + 2.36071i 1.77326 + 0.116163i
\(414\) 13.8723 + 20.5347i 0.681786 + 1.00922i
\(415\) −0.506269 + 0.876884i −0.0248518 + 0.0430445i
\(416\) −8.82747 + 7.40712i −0.432802 + 0.363164i
\(417\) −5.14590 + 2.08123i −0.251996 + 0.101918i
\(418\) 14.1868 + 2.50151i 0.693897 + 0.122353i
\(419\) 1.12514 6.38097i 0.0549666 0.311731i −0.944912 0.327325i \(-0.893853\pi\)
0.999878 + 0.0155940i \(0.00496393\pi\)
\(420\) 1.08701 + 3.29210i 0.0530407 + 0.160638i
\(421\) 28.8447 24.2035i 1.40580 1.17961i 0.447350 0.894359i \(-0.352368\pi\)
0.958453 0.285250i \(-0.0920765\pi\)
\(422\) −9.34393 5.39472i −0.454855 0.262611i
\(423\) 29.8059 + 8.52353i 1.44921 + 0.414428i
\(424\) 15.6804 + 27.1593i 0.761508 + 1.31897i
\(425\) 7.07734 + 2.57594i 0.343302 + 0.124952i
\(426\) 9.21831 28.4058i 0.446629 1.37626i
\(427\) 7.30569 + 25.0614i 0.353547 + 1.21281i
\(428\) −1.23543 3.39432i −0.0597168 0.164071i
\(429\) 6.61058 4.13405i 0.319162 0.199594i
\(430\) 0.204880 0.0361259i 0.00988021 0.00174215i
\(431\) 36.9728i 1.78092i 0.455064 + 0.890459i \(0.349616\pi\)
−0.455064 + 0.890459i \(0.650384\pi\)
\(432\) −2.82903 2.72608i −0.136112 0.131159i
\(433\) 10.5123i 0.505189i −0.967572 0.252594i \(-0.918716\pi\)
0.967572 0.252594i \(-0.0812838\pi\)
\(434\) 31.7057 + 13.9495i 1.52192 + 0.669597i
\(435\) 0.790803 1.48857i 0.0379161 0.0713717i
\(436\) 1.89719 0.690522i 0.0908591 0.0330700i
\(437\) −7.12779 5.98092i −0.340968 0.286106i
\(438\) −37.9115 42.0746i −1.81148 2.01040i
\(439\) 0.724156 1.98960i 0.0345621 0.0949585i −0.921211 0.389063i \(-0.872799\pi\)
0.955773 + 0.294104i \(0.0950212\pi\)
\(440\) 0.745013 + 1.29040i 0.0355171 + 0.0615174i
\(441\) −4.88624 + 20.4236i −0.232678 + 0.972554i
\(442\) −3.05481 + 5.29108i −0.145302 + 0.251671i
\(443\) −15.3703 18.3177i −0.730267 0.870298i 0.265318 0.964161i \(-0.414523\pi\)
−0.995585 + 0.0938626i \(0.970079\pi\)
\(444\) 24.9759 + 3.50099i 1.18530 + 0.166149i
\(445\) −0.402679 + 2.28371i −0.0190888 + 0.108258i
\(446\) −10.1514 + 57.5715i −0.480683 + 2.72609i
\(447\) 1.35168 9.64282i 0.0639321 0.456090i
\(448\) −3.75770 34.3002i −0.177535 1.62053i
\(449\) 31.2530 + 18.0439i 1.47492 + 0.851546i 0.999600 0.0282658i \(-0.00899849\pi\)
0.475321 + 0.879812i \(0.342332\pi\)
\(450\) 13.5782 + 30.4382i 0.640082 + 1.43487i
\(451\) −21.1805 + 12.2286i −0.997352 + 0.575822i
\(452\) 11.1234 30.5614i 0.523202 1.43749i
\(453\) 9.24328 + 10.2583i 0.434287 + 0.481976i
\(454\) 14.0128 16.6999i 0.657655 0.783763i
\(455\) −1.13163 0.276866i −0.0530517 0.0129797i
\(456\) −9.24209 4.90985i −0.432801 0.229925i
\(457\) −6.28049 35.6184i −0.293789 1.66616i −0.672085 0.740474i \(-0.734601\pi\)
0.378296 0.925685i \(-0.376510\pi\)
\(458\) 29.0526 1.35754
\(459\) −7.24230 3.21513i −0.338042 0.150069i
\(460\) 2.77816i 0.129533i
\(461\) −5.90462 33.4868i −0.275006 1.55963i −0.738944 0.673767i \(-0.764675\pi\)
0.463938 0.885868i \(-0.346436\pi\)
\(462\) −0.785362 + 26.0416i −0.0365383 + 1.21157i
\(463\) −9.66392 + 3.51738i −0.449121 + 0.163467i −0.556671 0.830733i \(-0.687922\pi\)
0.107550 + 0.994200i \(0.465699\pi\)
\(464\) −1.91306 + 2.27990i −0.0888117 + 0.105842i
\(465\) −2.37057 0.769302i −0.109932 0.0356755i
\(466\) 23.9420 + 8.71418i 1.10909 + 0.403677i
\(467\) −9.22027 15.9700i −0.426663 0.739002i 0.569911 0.821706i \(-0.306978\pi\)
−0.996574 + 0.0827042i \(0.973644\pi\)
\(468\) −15.8620 + 3.96696i −0.733222 + 0.183373i
\(469\) 16.6173 + 33.6935i 0.767315 + 1.55582i
\(470\) −3.69400 4.40234i −0.170391 0.203065i
\(471\) 28.9701 + 22.6172i 1.33487 + 1.04214i
\(472\) −32.0550 5.65215i −1.47545 0.260162i
\(473\) 0.931103 + 0.164179i 0.0428122 + 0.00754894i
\(474\) −10.3072 + 4.16870i −0.473427 + 0.191475i
\(475\) −8.04399 9.58646i −0.369084 0.439857i
\(476\) −5.46103 11.0729i −0.250306 0.507525i
\(477\) −2.78047 39.3561i −0.127309 1.80199i
\(478\) 9.20643 + 15.9460i 0.421092 + 0.729353i
\(479\) 7.86989 + 2.86440i 0.359584 + 0.130878i 0.515494 0.856893i \(-0.327609\pi\)
−0.155909 + 0.987771i \(0.549831\pi\)
\(480\) 0.577002 + 2.70979i 0.0263364 + 0.123685i
\(481\) −5.44754 + 6.49212i −0.248386 + 0.296015i
\(482\) 41.3593 15.0536i 1.88386 0.685671i
\(483\) 8.84952 14.3133i 0.402667 0.651277i
\(484\) −2.45080 13.8992i −0.111400 0.631780i
\(485\) 2.73207i 0.124057i
\(486\) −12.0523 32.9293i −0.546705 1.49370i
\(487\) −8.46558 −0.383612 −0.191806 0.981433i \(-0.561434\pi\)
−0.191806 + 0.981433i \(0.561434\pi\)
\(488\) −4.08558 23.1704i −0.184945 1.04888i
\(489\) −1.01221 28.6905i −0.0457739 1.29743i
\(490\) 2.86999 2.63023i 0.129653 0.118822i
\(491\) −13.2972 + 15.8470i −0.600093 + 0.715163i −0.977512 0.210879i \(-0.932367\pi\)
0.377419 + 0.926043i \(0.376812\pi\)
\(492\) 50.1641 10.6816i 2.26157 0.481562i
\(493\) −2.05305 + 5.64070i −0.0924646 + 0.254044i
\(494\) 8.79152 5.07579i 0.395549 0.228370i
\(495\) −0.132106 1.86990i −0.00593775 0.0840457i
\(496\) 3.81097 + 2.20026i 0.171117 + 0.0987947i
\(497\) −20.1590 + 2.20849i −0.904255 + 0.0990641i
\(498\) 14.7929 5.98289i 0.662884 0.268100i
\(499\) −3.92475 + 22.2583i −0.175696 + 0.996420i 0.761642 + 0.647998i \(0.224394\pi\)
−0.937338 + 0.348422i \(0.886718\pi\)
\(500\) 1.30569 7.40495i 0.0583923 0.331159i
\(501\) 4.15848 5.32655i 0.185787 0.237973i
\(502\) 20.7736 + 24.7570i 0.927170 + 1.10496i
\(503\) 6.98385 12.0964i 0.311394 0.539351i −0.667270 0.744816i \(-0.732537\pi\)
0.978664 + 0.205465i \(0.0658707\pi\)
\(504\) 6.38238 17.8186i 0.284294 0.793705i
\(505\) 1.01341 + 1.75528i 0.0450963 + 0.0781091i
\(506\) 7.14055 19.6185i 0.317436 0.872149i
\(507\) −5.25436 + 16.1910i −0.233354 + 0.719070i
\(508\) 13.2818 + 11.1448i 0.589285 + 0.494469i
\(509\) 6.42237 2.33755i 0.284666 0.103610i −0.195741 0.980656i \(-0.562711\pi\)
0.480407 + 0.877046i \(0.340489\pi\)
\(510\) 0.778853 + 1.24543i 0.0344882 + 0.0551486i
\(511\) −15.4880 + 35.2024i −0.685147 + 1.55726i
\(512\) 8.49778i 0.375552i
\(513\) 7.75033 + 10.6433i 0.342185 + 0.469912i
\(514\) 33.7268i 1.48763i
\(515\) −2.81059 + 0.495583i −0.123849 + 0.0218380i
\(516\) −1.75098 0.930203i −0.0770824 0.0409499i
\(517\) −8.93261 24.5421i −0.392856 1.07936i
\(518\) −7.92550 27.1876i −0.348226 1.19455i
\(519\) 12.3481 + 13.7041i 0.542023 + 0.601543i
\(520\) 0.986691 + 0.359126i 0.0432693 + 0.0157487i
\(521\) 2.63476 + 4.56354i 0.115431 + 0.199932i 0.917952 0.396692i \(-0.129842\pi\)
−0.802521 + 0.596624i \(0.796508\pi\)
\(522\) −24.2595 + 10.8219i −1.06181 + 0.473663i
\(523\) −34.3646 19.8404i −1.50266 0.867560i −0.999995 0.00307825i \(-0.999020\pi\)
−0.502663 0.864482i \(-0.667647\pi\)
\(524\) 21.3026 17.8750i 0.930606 0.780871i
\(525\) 15.0641 16.8913i 0.657451 0.737197i
\(526\) −0.829798 + 4.70602i −0.0361809 + 0.205192i
\(527\) 8.74060 + 1.54120i 0.380747 + 0.0671359i
\(528\) −0.459464 + 3.27780i −0.0199956 + 0.142648i
\(529\) 7.28895 6.11615i 0.316911 0.265920i
\(530\) −3.65697 + 6.33406i −0.158849 + 0.275134i
\(531\) 33.1462 + 24.0457i 1.43842 + 1.04350i
\(532\) −1.34098 + 20.4705i −0.0581390 + 0.887507i
\(533\) −5.89467 + 16.1955i −0.255327 + 0.701504i
\(534\) 27.1494 24.4631i 1.17487 1.05862i
\(535\) 0.187587 0.223558i 0.00811010 0.00966524i
\(536\) −11.5809 31.8182i −0.500218 1.37434i
\(537\) −13.2023 + 24.8514i −0.569721 + 1.07242i
\(538\) −20.4763 + 3.61053i −0.882797 + 0.155661i
\(539\) 16.3447 6.77155i 0.704017 0.291671i
\(540\) −0.946909 + 3.81536i −0.0407485 + 0.164187i
\(541\) −16.0075 −0.688218 −0.344109 0.938930i \(-0.611819\pi\)
−0.344109 + 0.938930i \(0.611819\pi\)
\(542\) −2.90008 16.4472i −0.124569 0.706467i
\(543\) −8.91535 14.2561i −0.382594 0.611789i
\(544\) −3.37451 9.27140i −0.144681 0.397508i
\(545\) 0.124953 + 0.104848i 0.00535242 + 0.00449121i
\(546\) 11.3721 + 14.4137i 0.486681 + 0.616851i
\(547\) −24.4521 8.89982i −1.04549 0.380529i −0.238534 0.971134i \(-0.576667\pi\)
−0.806960 + 0.590605i \(0.798889\pi\)
\(548\) −16.0254 + 9.25226i −0.684571 + 0.395237i
\(549\) −8.13836 + 28.4590i −0.347337 + 1.21460i
\(550\) 14.0396 24.3172i 0.598649 1.03689i
\(551\) 7.64048 6.41113i 0.325496 0.273123i
\(552\) −9.33347 + 11.9552i −0.397259 + 0.508845i
\(553\) 5.45406 + 5.22076i 0.231930 + 0.222009i
\(554\) −12.5068 2.20529i −0.531365 0.0936939i
\(555\) 0.763971 + 1.88894i 0.0324288 + 0.0801811i
\(556\) −6.30374 7.51250i −0.267338 0.318601i
\(557\) −20.8950 12.0637i −0.885349 0.511156i −0.0129306 0.999916i \(-0.504116\pi\)
−0.872418 + 0.488760i \(0.837449\pi\)
\(558\) 21.9866 + 32.5460i 0.930766 + 1.37778i
\(559\) 0.577004 0.333133i 0.0244047 0.0140900i
\(560\) 0.398827 0.292453i 0.0168535 0.0123584i
\(561\) 1.39029 + 6.52928i 0.0586982 + 0.275666i
\(562\) −3.59827 3.01930i −0.151784 0.127362i
\(563\) 4.87269 1.77351i 0.205359 0.0747447i −0.237293 0.971438i \(-0.576260\pi\)
0.442652 + 0.896694i \(0.354038\pi\)
\(564\) 1.93111 + 54.7359i 0.0813146 + 2.30480i
\(565\) 2.58766 0.456274i 0.108864 0.0191956i
\(566\) −29.8938 −1.25653
\(567\) −17.0319 + 16.6407i −0.715274 + 0.698844i
\(568\) 18.2779 0.766924
\(569\) −2.76725 + 0.487940i −0.116009 + 0.0204555i −0.231351 0.972870i \(-0.574315\pi\)
0.115342 + 0.993326i \(0.463204\pi\)
\(570\) −0.0860560 2.43919i −0.00360449 0.102167i
\(571\) −9.16577 + 3.33607i −0.383576 + 0.139610i −0.526609 0.850108i \(-0.676537\pi\)
0.143033 + 0.989718i \(0.454314\pi\)
\(572\) 10.5522 + 8.85433i 0.441209 + 0.370218i
\(573\) −3.83292 18.0007i −0.160123 0.751989i
\(574\) −34.0559 46.4430i −1.42147 1.93849i
\(575\) −15.7067 + 9.06824i −0.655013 + 0.378172i
\(576\) 17.1262 35.1780i 0.713591 1.46575i
\(577\) 16.0356 + 9.25816i 0.667571 + 0.385422i 0.795156 0.606405i \(-0.207389\pi\)
−0.127585 + 0.991828i \(0.540722\pi\)
\(578\) 21.2183 + 25.2869i 0.882564 + 1.05180i
\(579\) 15.4165 + 38.1178i 0.640689 + 1.58412i
\(580\) 2.93275 + 0.517124i 0.121776 + 0.0214724i
\(581\) −7.82763 7.49280i −0.324745 0.310854i
\(582\) 26.4955 33.9378i 1.09827 1.40677i
\(583\) −25.4626 + 21.3657i −1.05455 + 0.884875i
\(584\) 17.3314 30.0189i 0.717178 1.24219i
\(585\) −0.918323 0.949584i −0.0379680 0.0392605i
\(586\) −34.5448 + 19.9445i −1.42703 + 0.823898i
\(587\) −25.0011 9.09966i −1.03191 0.375583i −0.230100 0.973167i \(-0.573905\pi\)
−0.801807 + 0.597584i \(0.796128\pi\)
\(588\) −36.9858 + 2.92683i −1.52527 + 0.120701i
\(589\) −11.2970 9.47932i −0.465485 0.390589i
\(590\) −2.59633 7.13335i −0.106889 0.293675i
\(591\) 13.7581 + 22.0000i 0.565934 + 0.904960i
\(592\) −0.624734 3.54304i −0.0256764 0.145618i
\(593\) −43.4802 −1.78552 −0.892758 0.450536i \(-0.851233\pi\)
−0.892758 + 0.450536i \(0.851233\pi\)
\(594\) −16.4932 + 24.5091i −0.676723 + 1.00562i
\(595\) 0.554144 0.829398i 0.0227177 0.0340020i
\(596\) 16.9415 2.98725i 0.693952 0.122362i
\(597\) −5.90207 + 11.1098i −0.241556 + 0.454694i
\(598\) −5.03192 13.8251i −0.205770 0.565350i
\(599\) −18.9112 + 22.5375i −0.772690 + 0.920856i −0.998579 0.0532968i \(-0.983027\pi\)
0.225888 + 0.974153i \(0.427472\pi\)
\(600\) −15.1544 + 13.6549i −0.618674 + 0.557459i
\(601\) 14.5592 40.0010i 0.593880 1.63167i −0.169357 0.985555i \(-0.554169\pi\)
0.763237 0.646118i \(-0.223609\pi\)
\(602\) −0.145533 + 2.22161i −0.00593150 + 0.0905459i
\(603\) −4.42232 + 42.3684i −0.180091 + 1.72538i
\(604\) −12.1979 + 21.1273i −0.496324 + 0.859658i
\(605\) 0.873493 0.732948i 0.0355125 0.0297986i
\(606\) 4.43403 31.6322i 0.180120 1.28497i
\(607\) 36.2942 + 6.39965i 1.47314 + 0.259754i 0.851832 0.523815i \(-0.175492\pi\)
0.621305 + 0.783569i \(0.286603\pi\)
\(608\) −2.84675 + 16.1447i −0.115451 + 0.654755i
\(609\) 13.4625 + 12.0062i 0.545528 + 0.486516i
\(610\) 4.20340 3.52707i 0.170191 0.142807i
\(611\) −15.9389 9.20235i −0.644820 0.372287i
\(612\) 1.45333 13.9238i 0.0587474 0.562835i
\(613\) 8.70321 + 15.0744i 0.351519 + 0.608849i 0.986516 0.163666i \(-0.0523319\pi\)
−0.634997 + 0.772515i \(0.718999\pi\)
\(614\) 32.4455 + 11.8092i 1.30940 + 0.476581i
\(615\) 2.77380 + 3.07839i 0.111850 + 0.124133i
\(616\) −15.3084 + 4.46259i −0.616795 + 0.179803i
\(617\) 4.34334 + 11.9332i 0.174856 + 0.480413i 0.995901 0.0904505i \(-0.0288307\pi\)
−0.821045 + 0.570864i \(0.806608\pi\)
\(618\) 39.7194 + 21.1009i 1.59775 + 0.848801i
\(619\) 3.78939 0.668172i 0.152309 0.0268561i −0.0969739 0.995287i \(-0.530916\pi\)
0.249282 + 0.968431i \(0.419805\pi\)
\(620\) 4.40319i 0.176836i
\(621\) 17.1411 8.38315i 0.687848 0.336404i
\(622\) 49.0656i 1.96735i
\(623\) −22.7150 9.99388i −0.910057 0.400396i
\(624\) 1.23671 + 1.97758i 0.0495082 + 0.0791664i
\(625\) −22.6343 + 8.23820i −0.905371 + 0.329528i
\(626\) −40.5319 34.0103i −1.61998 1.35932i
\(627\) 3.42386 10.5504i 0.136736 0.421344i
\(628\) −22.2085 + 61.0174i −0.886216 + 2.43486i
\(629\) −3.62811 6.28407i −0.144662 0.250562i
\(630\) 4.34314 0.788748i 0.173035 0.0314245i
\(631\) 22.5975 39.1400i 0.899591 1.55814i 0.0715743 0.997435i \(-0.477198\pi\)
0.828017 0.560703i \(-0.189469\pi\)
\(632\) −4.37405 5.21279i −0.173990 0.207354i
\(633\) −5.11238 + 6.54840i −0.203199 + 0.260275i
\(634\) 0.463150 2.62666i 0.0183940 0.104318i
\(635\) −0.243244 + 1.37951i −0.00965285 + 0.0547440i
\(636\) 64.6201 26.1352i 2.56235 1.03633i
\(637\) 5.75604 11.0591i 0.228063 0.438179i
\(638\) 19.3810 + 11.1896i 0.767303 + 0.443002i
\(639\) −20.6749 10.0655i −0.817888 0.398183i
\(640\) −3.51074 + 2.02692i −0.138774 + 0.0801212i
\(641\) −9.10622 + 25.0191i −0.359674 + 0.988196i 0.619469 + 0.785021i \(0.287348\pi\)
−0.979143 + 0.203175i \(0.934874\pi\)
\(642\) −4.49826 + 0.957825i −0.177532 + 0.0378023i
\(643\) −1.53792 + 1.83283i −0.0606498 + 0.0722796i −0.795516 0.605932i \(-0.792800\pi\)
0.734867 + 0.678212i \(0.237245\pi\)
\(644\) 28.8790 + 7.06557i 1.13799 + 0.278422i
\(645\) −0.00564802 0.160089i −0.000222390 0.00630349i
\(646\) 1.50932 + 8.55977i 0.0593834 + 0.336780i
\(647\) −34.6928 −1.36391 −0.681957 0.731392i \(-0.738871\pi\)
−0.681957 + 0.731392i \(0.738871\pi\)
\(648\) 16.8928 13.2373i 0.663612 0.520009i
\(649\) 34.4989i 1.35420i
\(650\) −3.43602 19.4866i −0.134772 0.764329i
\(651\) 14.0258 22.6855i 0.549716 0.889114i
\(652\) 47.6612 17.3473i 1.86656 0.679371i
\(653\) −0.604531 + 0.720452i −0.0236571 + 0.0281934i −0.777743 0.628582i \(-0.783636\pi\)
0.754086 + 0.656775i \(0.228080\pi\)
\(654\) −0.535359 2.51422i −0.0209342 0.0983139i
\(655\) 2.11121 + 0.768419i 0.0824919 + 0.0300246i
\(656\) −3.65822 6.33623i −0.142830 0.247388i
\(657\) −36.1354 + 24.4114i −1.40978 + 0.952380i
\(658\) 55.1570 27.2028i 2.15024 1.06048i
\(659\) 20.8543 + 24.8532i 0.812370 + 0.968145i 0.999900 0.0141141i \(-0.00449281\pi\)
−0.187531 + 0.982259i \(0.560048\pi\)
\(660\) 3.07025 1.24174i 0.119509 0.0483348i
\(661\) 10.8010 + 1.90450i 0.420109 + 0.0740765i 0.379706 0.925107i \(-0.376025\pi\)
0.0404021 + 0.999184i \(0.487136\pi\)
\(662\) 49.1580 + 8.66788i 1.91058 + 0.336887i
\(663\) 3.70808 + 2.89493i 0.144010 + 0.112430i
\(664\) 6.27760 + 7.48135i 0.243618 + 0.290333i
\(665\) −1.48645 + 0.733099i −0.0576419 + 0.0284284i
\(666\) 8.82881 30.8734i 0.342109 1.19632i
\(667\) −7.22746 12.5183i −0.279848 0.484711i
\(668\) 11.2189 + 4.08334i 0.434072 + 0.157989i
\(669\) 42.8149 + 13.8944i 1.65532 + 0.537189i
\(670\) 5.07599 6.04934i 0.196103 0.233706i
\(671\) 23.4331 8.52896i 0.904625 0.329257i
\(672\) −29.6357 0.893753i −1.14322 0.0344773i
\(673\) 1.06233 + 6.02475i 0.0409497 + 0.232237i 0.998413 0.0563183i \(-0.0179362\pi\)
−0.957463 + 0.288555i \(0.906825\pi\)
\(674\) 51.1771i 1.97127i
\(675\) 24.6614 7.10031i 0.949217 0.273291i
\(676\) −30.0739 −1.15669
\(677\) 8.34744 + 47.3407i 0.320818 + 1.81945i 0.537565 + 0.843222i \(0.319344\pi\)
−0.216747 + 0.976228i \(0.569545\pi\)
\(678\) −36.5689 19.4272i −1.40442 0.746096i
\(679\) −28.3998 6.94834i −1.08989 0.266653i
\(680\) −0.577884 + 0.688695i −0.0221608 + 0.0264102i
\(681\) −11.2363 12.4702i −0.430578 0.477859i
\(682\) 11.3172 31.0939i 0.433360 1.19065i
\(683\) 23.6030 13.6272i 0.903145 0.521431i 0.0249260 0.999689i \(-0.492065\pi\)
0.878219 + 0.478258i \(0.158732\pi\)
\(684\) −13.6590 + 18.8284i −0.522264 + 0.719923i
\(685\) −1.29472 0.747509i −0.0494689 0.0285609i
\(686\) 20.0421 + 36.5229i 0.765212 + 1.39445i
\(687\) 3.10535 22.1535i 0.118476 0.845208i
\(688\) −0.0491146 + 0.278543i −0.00187248 + 0.0106193i
\(689\) −4.06744 + 23.0676i −0.154957 + 0.878805i
\(690\) −3.50300 0.491030i −0.133357 0.0186932i
\(691\) 19.2964 + 22.9966i 0.734070 + 0.874830i 0.995916 0.0902792i \(-0.0287759\pi\)
−0.261847 + 0.965109i \(0.584332\pi\)
\(692\) −16.2952 + 28.2241i −0.619449 + 1.07292i
\(693\) 19.7736 + 3.38237i 0.751135 + 0.128486i
\(694\) −1.28125 2.21920i −0.0486357 0.0842396i
\(695\) 0.270989 0.744535i 0.0102792 0.0282418i
\(696\) −10.8831 12.0781i −0.412522 0.457821i
\(697\) −11.3042 9.48534i −0.428177 0.359283i
\(698\) −50.3869 + 18.3393i −1.90717 + 0.694154i
\(699\) 9.20392 17.3251i 0.348124 0.655294i
\(700\) 36.6003 + 16.1030i 1.38336 + 0.608636i
\(701\) 15.7325i 0.594210i −0.954845 0.297105i \(-0.903979\pi\)
0.954845 0.297105i \(-0.0960211\pi\)
\(702\) 2.19839 + 20.7016i 0.0829729 + 0.781332i
\(703\) 12.0567i 0.454729i
\(704\) −32.4613 + 5.72381i −1.22343 + 0.215724i
\(705\) −3.75175 + 2.34623i −0.141299 + 0.0883642i
\(706\) 21.1139 + 58.0099i 0.794631 + 2.18323i
\(707\) −20.8235 + 6.07029i −0.783149 + 0.228297i
\(708\) −22.3318 + 68.8142i −0.839279 + 2.58620i
\(709\) 47.3855 + 17.2469i 1.77960 + 0.647722i 0.999764 + 0.0217383i \(0.00692005\pi\)
0.779837 + 0.625983i \(0.215302\pi\)
\(710\) 2.13138 + 3.69165i 0.0799891 + 0.138545i
\(711\) 2.07705 + 8.30516i 0.0778954 + 0.311468i
\(712\) 19.3702 + 11.1834i 0.725929 + 0.419115i
\(713\) −16.3724 + 13.7381i −0.613151 + 0.514495i
\(714\) −14.9270 + 4.92873i −0.558631 + 0.184453i
\(715\) −0.193253 + 1.09599i −0.00722726 + 0.0409878i
\(716\) −48.9617 8.63327i −1.82979 0.322641i
\(717\) 13.1434 5.31575i 0.490847 0.198520i
\(718\) −18.1186 + 15.2033i −0.676181 + 0.567383i
\(719\) −9.20662 + 15.9463i −0.343349 + 0.594698i −0.985052 0.172255i \(-0.944895\pi\)
0.641703 + 0.766953i \(0.278228\pi\)
\(720\) 0.559386 0.0395201i 0.0208471 0.00147283i
\(721\) 1.99646 30.4765i 0.0743520 1.13500i
\(722\) −9.67837 + 26.5911i −0.360192 + 0.989618i
\(723\) −7.05800 33.1467i −0.262490 1.23274i
\(724\) 19.0949 22.7565i 0.709657 0.845737i
\(725\) −6.64922 18.2686i −0.246946 0.678478i
\(726\) −17.9586 + 0.633591i −0.666508 + 0.0235148i
\(727\) 3.73222 0.658090i 0.138420 0.0244072i −0.104009 0.994576i \(-0.533167\pi\)
0.242429 + 0.970169i \(0.422056\pi\)
\(728\) −6.24252 + 9.34330i −0.231363 + 0.346286i
\(729\) −26.3978 + 5.67054i −0.977697 + 0.210020i
\(730\) 8.08402 0.299203
\(731\) 0.0990594 + 0.561794i 0.00366385 + 0.0207787i
\(732\) −52.2625 + 1.84385i −1.93168 + 0.0681506i
\(733\) 14.1333 + 38.8309i 0.522025 + 1.43425i 0.868262 + 0.496106i \(0.165237\pi\)
−0.346237 + 0.938147i \(0.612541\pi\)
\(734\) 17.2666 + 14.4884i 0.637323 + 0.534778i
\(735\) −1.69887 2.46959i −0.0626636 0.0910922i
\(736\) 22.3262 + 8.12605i 0.822953 + 0.299530i
\(737\) 31.0801 17.9441i 1.14485 0.660979i
\(738\) −4.60208 65.1400i −0.169405 2.39784i
\(739\) 4.76788 8.25821i 0.175389 0.303783i −0.764907 0.644141i \(-0.777215\pi\)
0.940296 + 0.340358i \(0.110548\pi\)
\(740\) −2.75766 + 2.31395i −0.101374 + 0.0850626i
\(741\) −2.93074 7.24633i −0.107663 0.266201i
\(742\) −56.5418 54.1232i −2.07572 1.98693i
\(743\) 39.6304 + 6.98792i 1.45390 + 0.256362i 0.844097 0.536191i \(-0.180137\pi\)
0.609803 + 0.792553i \(0.291249\pi\)
\(744\) −14.7929 + 18.9480i −0.542333 + 0.694669i
\(745\) 0.893382 + 1.06469i 0.0327310 + 0.0390073i
\(746\) −6.17919 3.56756i −0.226236 0.130618i
\(747\) −2.98096 11.9195i −0.109068 0.436112i
\(748\) −10.2140 + 5.89706i −0.373461 + 0.215618i
\(749\) 1.84680 + 2.51853i 0.0674805 + 0.0920250i
\(750\) −9.10614 2.95515i −0.332509 0.107907i
\(751\) 31.1160 + 26.1094i 1.13544 + 0.952745i 0.999280 0.0379423i \(-0.0120803\pi\)
0.136157 + 0.990687i \(0.456525\pi\)
\(752\) 7.34186 2.67222i 0.267730 0.0974458i
\(753\) 21.0984 13.1943i 0.768867 0.480826i
\(754\) 15.5310 2.73854i 0.565606 0.0997316i
\(755\) −1.97098 −0.0717313
\(756\) −37.2524 19.5465i −1.35486 0.710900i
\(757\) −27.7285 −1.00781 −0.503905 0.863759i \(-0.668104\pi\)
−0.503905 + 0.863759i \(0.668104\pi\)
\(758\) −27.5749 + 4.86220i −1.00157 + 0.176603i
\(759\) −14.1965 7.54185i −0.515299 0.273752i
\(760\) 1.40371 0.510910i 0.0509180 0.0185327i
\(761\) −2.26958 1.90440i −0.0822721 0.0690345i 0.600724 0.799456i \(-0.294879\pi\)
−0.682996 + 0.730422i \(0.739323\pi\)
\(762\) 16.4000 14.7773i 0.594109 0.535324i
\(763\) −1.40769 + 1.03223i −0.0509617 + 0.0373694i
\(764\) 28.1592 16.2577i 1.01876 0.588183i
\(765\) 1.03293 0.460778i 0.0373455 0.0166595i
\(766\) −14.9116 8.60921i −0.538778 0.311063i
\(767\) −15.6270 18.6235i −0.564257 0.672455i
\(768\) 18.5267 + 2.59697i 0.668525 + 0.0937101i
\(769\) 4.45428 + 0.785410i 0.160626 + 0.0283226i 0.253383 0.967366i \(-0.418457\pi\)
−0.0927570 + 0.995689i \(0.529568\pi\)
\(770\) −2.68643 2.57152i −0.0968124 0.0926712i
\(771\) −25.7177 3.60496i −0.926200 0.129830i
\(772\) −55.6482 + 46.6944i −2.00282 + 1.68057i
\(773\) 19.8829 34.4382i 0.715138 1.23866i −0.247768 0.968819i \(-0.579697\pi\)
0.962906 0.269836i \(-0.0869696\pi\)
\(774\) −1.48237 + 2.04340i −0.0532829 + 0.0734485i
\(775\) −24.8939 + 14.3725i −0.894215 + 0.516275i
\(776\) 24.7624 + 9.01277i 0.888918 + 0.323540i
\(777\) −21.5785 + 3.13742i −0.774124 + 0.112554i
\(778\) −18.3695 15.4138i −0.658578 0.552613i
\(779\) 8.38604 + 23.0405i 0.300461 + 0.825510i
\(780\) 1.09493 2.06106i 0.0392050 0.0737978i
\(781\) 3.36401 + 19.0783i 0.120374 + 0.682674i
\(782\) 12.5968 0.450460
\(783\) 5.65901 + 19.6553i 0.202236 + 0.702423i
\(784\) 2.02573 + 4.88958i 0.0723476 + 0.174628i
\(785\) −5.16640 + 0.910975i −0.184397 + 0.0325141i
\(786\) −18.7734 30.0198i −0.669626 1.07077i
\(787\) −6.12560 16.8299i −0.218354 0.599923i 0.781354 0.624088i \(-0.214529\pi\)
−0.999708 + 0.0241654i \(0.992307\pi\)
\(788\) −29.4672 + 35.1177i −1.04973 + 1.25102i
\(789\) 3.49978 + 1.13576i 0.124596 + 0.0404341i
\(790\) 0.542790 1.49130i 0.0193116 0.0530582i
\(791\) −1.83810 + 28.0591i −0.0653553 + 0.997667i
\(792\) −17.3838 4.97121i −0.617707 0.176644i
\(793\) 8.78650 15.2187i 0.312018 0.540431i
\(794\) −11.4498 + 9.60754i −0.406339 + 0.340959i
\(795\) 4.43902 + 3.46558i 0.157436 + 0.122911i
\(796\) −21.8883 3.85950i −0.775810 0.136796i
\(797\) 0.867704 4.92099i 0.0307356 0.174310i −0.965576 0.260122i \(-0.916237\pi\)
0.996311 + 0.0858116i \(0.0273483\pi\)
\(798\) 25.5742 + 5.30893i 0.905318 + 0.187934i
\(799\) 12.0715 10.1292i 0.427058 0.358344i
\(800\) 27.6734 + 15.9772i 0.978402 + 0.564881i
\(801\) −15.7519 23.3170i −0.556566 0.823865i
\(802\) −12.3970 21.4722i −0.437752 0.758209i
\(803\) 34.5232 + 12.5654i 1.21830 + 0.443424i
\(804\) −73.6102 + 15.6740i −2.59603 + 0.552779i
\(805\) 0.672233 + 2.30603i 0.0236931 + 0.0812767i
\(806\) −7.97522 21.9117i −0.280915 0.771808i
\(807\) 0.564479 + 15.9997i 0.0198706 + 0.563217i
\(808\) 19.2523 3.39470i 0.677294 0.119425i
\(809\) 20.9690i 0.737230i −0.929582 0.368615i \(-0.879832\pi\)
0.929582 0.368615i \(-0.120168\pi\)
\(810\) 4.64344 + 1.86831i 0.163154 + 0.0656458i
\(811\) 30.1256i 1.05785i 0.848668 + 0.528927i \(0.177405\pi\)
−0.848668 + 0.528927i \(0.822595\pi\)
\(812\) −12.8342 + 29.1708i −0.450393 + 1.02369i
\(813\) −12.8515 + 0.453406i −0.450720 + 0.0159016i
\(814\) −25.4212 + 9.25254i −0.891011 + 0.324302i
\(815\) 3.13908 + 2.63400i 0.109957 + 0.0922649i
\(816\) −1.95325 + 0.415911i −0.0683776 + 0.0145598i
\(817\) 0.324188 0.890700i 0.0113419 0.0311616i
\(818\) −9.40075 16.2826i −0.328690 0.569307i
\(819\) 12.2064 7.13092i 0.426528 0.249175i
\(820\) −3.66043 + 6.34006i −0.127828 + 0.221404i
\(821\) 4.79300 + 5.71208i 0.167277 + 0.199353i 0.843170 0.537647i \(-0.180687\pi\)
−0.675893 + 0.736999i \(0.736242\pi\)
\(822\) 8.83377 + 21.8418i 0.308113 + 0.761819i
\(823\) −5.40609 + 30.6595i −0.188444 + 1.06872i 0.733005 + 0.680223i \(0.238117\pi\)
−0.921449 + 0.388498i \(0.872994\pi\)
\(824\) −4.78004 + 27.1089i −0.166520 + 0.944385i
\(825\) −17.0420 13.3048i −0.593325 0.463213i
\(826\) 80.7542 8.84689i 2.80980 0.307823i
\(827\) −13.3304 7.69630i −0.463543 0.267627i 0.249990 0.968248i \(-0.419573\pi\)
−0.713533 + 0.700622i \(0.752906\pi\)
\(828\) 23.4354 + 24.2332i 0.814437 + 0.842162i
\(829\) −23.4772 + 13.5546i −0.815397 + 0.470770i −0.848827 0.528672i \(-0.822690\pi\)
0.0334297 + 0.999441i \(0.489357\pi\)
\(830\) −0.779008 + 2.14031i −0.0270397 + 0.0742911i
\(831\) −3.01842 + 9.30112i −0.104708 + 0.322652i
\(832\) −14.9308 + 17.7939i −0.517634 + 0.616892i
\(833\) 7.21225 + 7.86968i 0.249890 + 0.272668i
\(834\) −10.5867 + 6.62059i −0.366587 + 0.229252i
\(835\) 0.167495 + 0.949913i 0.00579642 + 0.0328731i
\(836\) 19.5968 0.677770
\(837\) 27.1673 13.2867i 0.939041 0.459254i
\(838\) 14.5752i 0.503491i
\(839\) 2.23816 + 12.6932i 0.0772699 + 0.438219i 0.998759 + 0.0498139i \(0.0158628\pi\)
−0.921489 + 0.388405i \(0.873026\pi\)
\(840\) 1.27967 + 2.37934i 0.0441530 + 0.0820950i
\(841\) −12.6909 + 4.61910i −0.437616 + 0.159279i
\(842\) 54.4449 64.8850i 1.87630 2.23608i
\(843\) −2.68692 + 2.42106i −0.0925424 + 0.0833858i
\(844\) −13.7924 5.02001i −0.474752 0.172796i
\(845\) −1.21487 2.10421i −0.0417926 0.0723870i
\(846\) 69.3580 + 7.23943i 2.38458 + 0.248897i
\(847\) 5.39747 + 10.9440i 0.185459 + 0.376041i
\(848\) −6.39160 7.61722i −0.219489 0.261576i
\(849\) −3.19526 + 22.7949i −0.109661 + 0.782318i
\(850\) 16.6845 + 2.94194i 0.572275 + 0.100908i
\(851\) 17.2080 + 3.03423i 0.589882 + 0.104012i
\(852\) 5.63958 40.2326i 0.193209 1.37835i
\(853\) −20.2295 24.1086i −0.692645 0.825462i 0.299028 0.954244i \(-0.403338\pi\)
−0.991673 + 0.128782i \(0.958893\pi\)
\(854\) 25.9736 + 52.6645i 0.888797 + 1.80214i
\(855\) −1.86915 0.195098i −0.0639238 0.00667221i
\(856\) −1.40741 2.43770i −0.0481042 0.0833190i
\(857\) 35.4608 + 12.9067i 1.21132 + 0.440883i 0.867160 0.498029i \(-0.165943\pi\)
0.344157 + 0.938912i \(0.388165\pi\)
\(858\) 13.0295 11.7403i 0.444820 0.400807i
\(859\) −6.65307 + 7.92882i −0.227000 + 0.270528i −0.867508 0.497424i \(-0.834279\pi\)
0.640508 + 0.767952i \(0.278724\pi\)
\(860\) 0.265943 0.0967953i 0.00906858 0.00330069i
\(861\) −39.0543 + 21.0045i −1.33097 + 0.715831i
\(862\) 14.4421 + 81.9054i 0.491901 + 2.78971i
\(863\) 11.8606i 0.403740i −0.979412 0.201870i \(-0.935298\pi\)
0.979412 0.201870i \(-0.0647019\pi\)
\(864\) −27.8917 18.7695i −0.948895 0.638550i
\(865\) −2.63304 −0.0895261
\(866\) −4.10626 23.2878i −0.139536 0.791350i
\(867\) 21.5500 13.4767i 0.731877 0.457693i
\(868\) 45.7711 + 11.1984i 1.55357 + 0.380099i
\(869\) 4.63602 5.52499i 0.157266 0.187422i
\(870\) 1.17040 3.60652i 0.0396801 0.122272i
\(871\) 8.64977 23.7651i 0.293086 0.805248i
\(872\) 1.36251 0.786646i 0.0461404 0.0266392i
\(873\) −23.0466 23.8311i −0.780009 0.806562i
\(874\) −18.1263 10.4652i −0.613132 0.353992i
\(875\) 0.707982 + 6.46244i 0.0239342 + 0.218470i
\(876\) −60.7288 47.4114i −2.05184 1.60188i
\(877\) 7.69630 43.6479i 0.259885 1.47388i −0.523328 0.852131i \(-0.675310\pi\)
0.783214 0.621753i \(-0.213579\pi\)
\(878\) 0.827045 4.69040i 0.0279114 0.158293i
\(879\) 11.5158 + 28.4733i 0.388420 + 0.960379i
\(880\) −0.303680 0.361912i −0.0102370 0.0122000i
\(881\) 12.4173 21.5074i 0.418350 0.724603i −0.577424 0.816444i \(-0.695942\pi\)
0.995774 + 0.0918416i \(0.0292753\pi\)
\(882\) −2.84666 + 47.1528i −0.0958519 + 1.58772i
\(883\) 1.05114 + 1.82062i 0.0353735 + 0.0612687i 0.883170 0.469053i \(-0.155405\pi\)
−0.847797 + 0.530321i \(0.822071\pi\)
\(884\) −2.84262 + 7.81004i −0.0956077 + 0.262680i
\(885\) −5.71690 + 1.21731i −0.192172 + 0.0409195i
\(886\) −41.2049 34.5750i −1.38430 1.16157i
\(887\) 44.6083 16.2361i 1.49780 0.545155i 0.542311 0.840178i \(-0.317549\pi\)
0.955490 + 0.295023i \(0.0953273\pi\)
\(888\) 19.6408 0.692940i 0.659104 0.0232535i
\(889\) −13.7213 6.03695i −0.460198 0.202473i
\(890\) 5.21636i 0.174853i
\(891\) 16.9260 + 15.1962i 0.567042 + 0.509093i
\(892\) 79.5262i 2.66273i
\(893\) −25.7856 + 4.54670i −0.862882 + 0.152149i
\(894\) −0.772276 21.8896i −0.0258288 0.732097i
\(895\) −1.37381 3.77450i −0.0459213 0.126168i
\(896\) −12.1412 41.6490i −0.405608 1.39140i
\(897\) −11.0799 + 2.35926i −0.369947 + 0.0787735i
\(898\) 76.2827 + 27.7646i 2.54559 + 0.926517i
\(899\) −11.4550 19.8406i −0.382045 0.661722i
\(900\) 25.3808 + 37.5704i 0.846028 + 1.25235i
\(901\) −17.3684 10.0276i −0.578624 0.334069i
\(902\) −42.1443 + 35.3633i −1.40325 + 1.17747i
\(903\) 1.67849 + 0.348435i 0.0558565 + 0.0115952i
\(904\) 4.40089 24.9587i 0.146371 0.830114i
\(905\) 2.36358 + 0.416763i 0.0785681 + 0.0138537i
\(906\) 24.4835 + 19.1145i 0.813411 + 0.635036i
\(907\) −13.3935 + 11.2385i −0.444724 + 0.373167i −0.837474 0.546478i \(-0.815968\pi\)
0.392750 + 0.919645i \(0.371524\pi\)
\(908\) 14.8280 25.6828i 0.492084 0.852315i
\(909\) −23.6466 6.76215i −0.784307 0.224286i
\(910\) −2.61503 0.171306i −0.0866876 0.00567875i
\(911\) 11.0357 30.3204i 0.365630 1.00456i −0.611375 0.791341i \(-0.709383\pi\)
0.977005 0.213218i \(-0.0683945\pi\)
\(912\) 3.15620 + 1.02426i 0.104512 + 0.0339166i
\(913\) −6.65357 + 7.92942i −0.220201 + 0.262425i
\(914\) −27.8262 76.4517i −0.920407 2.52880i
\(915\) −2.24021 3.58222i −0.0740590 0.118424i
\(916\) 38.9216 6.86292i 1.28600 0.226757i
\(917\) −13.3570 + 19.9918i −0.441089 + 0.660186i
\(918\) −17.2996 4.29348i −0.570973 0.141706i
\(919\) −0.597532 −0.0197108 −0.00985538 0.999951i \(-0.503137\pi\)
−0.00985538 + 0.999951i \(0.503137\pi\)
\(920\) −0.375934 2.13203i −0.0123942 0.0702909i
\(921\) 12.4729 23.4784i 0.410996 0.773641i
\(922\) −26.1609 71.8764i −0.861562 2.36712i
\(923\) 10.4579 + 8.77520i 0.344225 + 0.288839i
\(924\) 5.09951 + 35.0733i 0.167761 + 1.15383i
\(925\) 22.0835 + 8.03774i 0.726101 + 0.264279i
\(926\) −20.0344 + 11.5669i −0.658372 + 0.380111i
\(927\) 20.3355 28.0318i 0.667906 0.920685i
\(928\) −12.7340 + 22.0559i −0.418013 + 0.724021i
\(929\) 1.87360 1.57214i 0.0614710 0.0515803i −0.611535 0.791218i \(-0.709447\pi\)
0.673006 + 0.739637i \(0.265003\pi\)
\(930\) −5.55199 0.778247i −0.182057 0.0255197i
\(931\) −3.84015 17.3161i −0.125856 0.567511i
\(932\) 34.1334 + 6.01865i 1.11808 + 0.197147i
\(933\) −37.4140 5.24449i −1.22488 0.171697i
\(934\) −26.6637 31.7765i −0.872461 1.03976i
\(935\) −0.825211 0.476436i −0.0269873 0.0155811i
\(936\) −11.6361 + 5.19074i −0.380337 + 0.169665i
\(937\) −7.87078 + 4.54420i −0.257127 + 0.148452i −0.623023 0.782203i \(-0.714096\pi\)
0.365896 + 0.930656i \(0.380763\pi\)
\(938\) 49.9732 + 68.1499i 1.63168 + 2.22517i
\(939\) −30.2662 + 27.2715i −0.987700 + 0.889972i
\(940\) −5.98876 5.02517i −0.195332 0.163903i
\(941\) −45.3649 + 16.5115i −1.47885 + 0.538259i −0.950489 0.310758i \(-0.899417\pi\)
−0.528365 + 0.849017i \(0.677195\pi\)
\(942\) 73.0117 + 38.7874i 2.37885 + 1.26376i
\(943\) 34.9950 6.17056i 1.13959 0.200941i
\(944\) 10.3205 0.335902
\(945\) −0.137218 3.39608i −0.00446372 0.110474i
\(946\) 2.12679 0.0691479
\(947\) −18.0642 + 3.18520i −0.587006 + 0.103505i −0.459260 0.888302i \(-0.651885\pi\)
−0.127746 + 0.991807i \(0.540774\pi\)
\(948\) −12.8238 + 8.01960i −0.416497 + 0.260464i
\(949\) 24.3283 8.85479i 0.789731 0.287439i
\(950\) −21.5644 18.0947i −0.699641 0.587068i
\(951\) −1.95340 0.633922i −0.0633433 0.0205563i
\(952\) −5.68927 7.75862i −0.184390 0.251458i
\(953\) 49.7352 28.7146i 1.61108 0.930159i 0.621962 0.783047i \(-0.286336\pi\)
0.989120 0.147111i \(-0.0469975\pi\)
\(954\) −21.5326 86.0989i −0.697144 2.78756i
\(955\) 2.27504 + 1.31349i 0.0736185 + 0.0425037i
\(956\) 16.1006 + 19.1880i 0.520731 + 0.620583i
\(957\) 10.6040 13.5826i 0.342779 0.439063i
\(958\) 18.5529 + 3.27138i 0.599418 + 0.105694i
\(959\) 11.0632 11.5575i 0.357248 0.373212i
\(960\) 2.09392 + 5.17729i 0.0675811 + 0.167096i
\(961\) −2.20167 + 1.84742i −0.0710216 + 0.0595942i
\(962\) −9.53194 + 16.5098i −0.307322 + 0.532297i
\(963\) 0.249563 + 3.53244i 0.00804206 + 0.113831i
\(964\) 51.8527 29.9372i 1.67006 0.964212i
\(965\) −5.51508 2.00732i −0.177537 0.0646180i
\(966\) 14.0132 35.1648i 0.450869 1.13141i
\(967\) 26.9611 + 22.6231i 0.867012 + 0.727509i 0.963467 0.267828i \(-0.0863060\pi\)
−0.0964551 + 0.995337i \(0.530750\pi\)
\(968\) −3.76159 10.3349i −0.120902 0.332176i
\(969\) 6.68841 0.235971i 0.214863 0.00758047i
\(970\) 1.06719 + 6.05232i 0.0342653 + 0.194328i
\(971\) −46.8295 −1.50283 −0.751416 0.659829i \(-0.770629\pi\)
−0.751416 + 0.659829i \(0.770629\pi\)
\(972\) −23.9251 41.2681i −0.767399 1.32368i
\(973\) 7.05024 + 4.71046i 0.226020 + 0.151010i
\(974\) −18.7537 + 3.30678i −0.600907 + 0.105956i
\(975\) −15.2264 + 0.537196i −0.487635 + 0.0172040i
\(976\) 2.55147 + 7.01009i 0.0816704 + 0.224388i
\(977\) 14.9057 17.7639i 0.476875 0.568317i −0.472954 0.881087i \(-0.656812\pi\)
0.949829 + 0.312770i \(0.101257\pi\)
\(978\) −13.4493 63.1622i −0.430060 2.01971i
\(979\) −8.10805 + 22.2767i −0.259134 + 0.711966i
\(980\) 3.22358 4.20166i 0.102974 0.134217i
\(981\) −1.97439 + 0.139489i −0.0630375 + 0.00445354i
\(982\) −23.2670 + 40.2996i −0.742480 + 1.28601i
\(983\) −21.4681 + 18.0139i −0.684727 + 0.574554i −0.917383 0.398005i \(-0.869703\pi\)
0.232657 + 0.972559i \(0.425258\pi\)
\(984\) 37.0517 14.9854i 1.18117 0.477716i
\(985\) −3.64747 0.643148i −0.116218 0.0204924i
\(986\) −2.34475 + 13.2977i −0.0746719 + 0.423486i
\(987\) −14.8474 44.9665i −0.472598 1.43130i
\(988\) 10.5789 8.87676i 0.336560 0.282407i
\(989\) −1.18967 0.686853i −0.0378291 0.0218407i
\(990\) −1.02306 4.09076i −0.0325151 0.130013i
\(991\) −24.8196 42.9887i −0.788419 1.36558i −0.926935 0.375222i \(-0.877566\pi\)
0.138515 0.990360i \(-0.455767\pi\)
\(992\) 35.3853 + 12.8792i 1.12348 + 0.408915i
\(993\) 11.8639 36.5579i 0.376489 1.16013i
\(994\) −43.7953 + 12.7668i −1.38910 + 0.404939i
\(995\) −0.614159 1.68739i −0.0194702 0.0534938i
\(996\) 18.4046 11.5097i 0.583172 0.364698i
\(997\) 19.3030 3.40365i 0.611333 0.107795i 0.140595 0.990067i \(-0.455099\pi\)
0.470739 + 0.882273i \(0.343987\pi\)
\(998\) 50.8417i 1.60937i
\(999\) −22.5982 10.0322i −0.714976 0.317405i
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 189.2.be.a.41.21 132
3.2 odd 2 567.2.be.a.314.1 132
7.6 odd 2 inner 189.2.be.a.41.22 yes 132
21.20 even 2 567.2.be.a.314.2 132
27.2 odd 18 inner 189.2.be.a.83.22 yes 132
27.25 even 9 567.2.be.a.251.2 132
189.83 even 18 inner 189.2.be.a.83.21 yes 132
189.160 odd 18 567.2.be.a.251.1 132
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.be.a.41.21 132 1.1 even 1 trivial
189.2.be.a.41.22 yes 132 7.6 odd 2 inner
189.2.be.a.83.21 yes 132 189.83 even 18 inner
189.2.be.a.83.22 yes 132 27.2 odd 18 inner
567.2.be.a.251.1 132 189.160 odd 18
567.2.be.a.251.2 132 27.25 even 9
567.2.be.a.314.1 132 3.2 odd 2
567.2.be.a.314.2 132 21.20 even 2