Properties

Label 400.2.be.a.21.41
Level $400$
Weight $2$
Character 400.21
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
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] = [400,2,Mod(21,400)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(400, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("400.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), 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: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 21.41
Character \(\chi\) \(=\) 400.21
Dual form 400.2.be.a.381.41

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.771820 + 1.18503i) q^{2} +(-0.179927 + 0.0284977i) q^{3} +(-0.808588 + 1.82926i) q^{4} +(1.03540 + 1.98191i) q^{5} +(-0.172642 - 0.191224i) q^{6} +0.839485i q^{7} +(-2.79181 + 0.453657i) q^{8} +(-2.82161 + 0.916796i) q^{9} +O(q^{10})\) \(q+(0.771820 + 1.18503i) q^{2} +(-0.179927 + 0.0284977i) q^{3} +(-0.808588 + 1.82926i) q^{4} +(1.03540 + 1.98191i) q^{5} +(-0.172642 - 0.191224i) q^{6} +0.839485i q^{7} +(-2.79181 + 0.453657i) q^{8} +(-2.82161 + 0.916796i) q^{9} +(-1.54948 + 2.75665i) q^{10} +(2.23411 - 1.13833i) q^{11} +(0.0933575 - 0.352176i) q^{12} +(0.110969 + 0.0565415i) q^{13} +(-0.994814 + 0.647931i) q^{14} +(-0.242776 - 0.327093i) q^{15} +(-2.69237 - 2.95823i) q^{16} +(-0.867590 + 0.630341i) q^{17} +(-3.26420 - 2.63609i) q^{18} +(-0.248130 + 1.56663i) q^{19} +(-4.46263 + 0.291461i) q^{20} +(-0.0239234 - 0.151046i) q^{21} +(3.07329 + 1.76889i) q^{22} +(3.63886 + 1.18234i) q^{23} +(0.489394 - 0.161185i) q^{24} +(-2.85591 + 4.10412i) q^{25} +(0.0186447 + 0.175141i) q^{26} +(0.968502 - 0.493476i) q^{27} +(-1.53564 - 0.678798i) q^{28} +(-0.0222443 + 0.00352316i) q^{29} +(0.200235 - 0.540153i) q^{30} +(4.71499 - 3.42564i) q^{31} +(1.42757 - 5.47376i) q^{32} +(-0.369537 + 0.268484i) q^{33} +(-1.41660 - 0.541610i) q^{34} +(-1.66378 + 0.869200i) q^{35} +(0.604462 - 5.90276i) q^{36} +(-1.96350 + 3.85359i) q^{37} +(-2.04802 + 0.915117i) q^{38} +(-0.0215776 - 0.00701100i) q^{39} +(-3.78974 - 5.06339i) q^{40} +(-3.07859 + 1.00029i) q^{41} +(0.160530 - 0.144930i) q^{42} +(2.41770 + 2.41770i) q^{43} +(0.275835 + 5.00720i) q^{44} +(-4.73849 - 4.64292i) q^{45} +(1.40744 + 5.22471i) q^{46} +(6.85681 + 4.98176i) q^{47} +(0.568734 + 0.455541i) q^{48} +6.29526 q^{49} +(-7.06775 - 0.216694i) q^{50} +(0.138140 - 0.138140i) q^{51} +(-0.193157 + 0.157272i) q^{52} +(-0.812896 - 5.13242i) q^{53} +(1.33229 + 0.766828i) q^{54} +(4.56926 + 3.24917i) q^{55} +(-0.380839 - 2.34368i) q^{56} -0.288951i q^{57} +(-0.0213437 - 0.0236409i) q^{58} +(1.88364 - 3.69685i) q^{59} +(0.794643 - 0.179616i) q^{60} +(-1.48876 - 2.92187i) q^{61} +(7.69861 + 2.94342i) q^{62} +(-0.769637 - 2.36870i) q^{63} +(7.58839 - 2.53305i) q^{64} +(0.00283688 + 0.278473i) q^{65} +(-0.603378 - 0.230691i) q^{66} +(0.913419 - 5.76710i) q^{67} +(-0.451533 - 2.09673i) q^{68} +(-0.688425 - 0.109036i) q^{69} +(-2.31417 - 1.30076i) q^{70} +(9.05193 - 12.4589i) q^{71} +(7.46148 - 3.83956i) q^{72} +(12.0099 + 3.90226i) q^{73} +(-6.08208 + 0.647470i) q^{74} +(0.396898 - 0.819830i) q^{75} +(-2.66514 - 1.72065i) q^{76} +(0.955615 + 1.87550i) q^{77} +(-0.00834581 - 0.0309814i) q^{78} +(0.394590 + 0.286686i) q^{79} +(3.07527 - 8.39897i) q^{80} +(7.04041 - 5.11516i) q^{81} +(-3.56149 - 2.87617i) q^{82} +(-2.13013 + 13.4491i) q^{83} +(0.295647 + 0.0783722i) q^{84} +(-2.14758 - 1.06683i) q^{85} +(-0.999017 + 4.73108i) q^{86} +(0.00390196 - 0.00126782i) q^{87} +(-5.72079 + 4.19153i) q^{88} +(-7.89287 - 2.56455i) q^{89} +(1.84473 - 9.19874i) q^{90} +(-0.0474657 + 0.0931568i) q^{91} +(-5.10514 + 5.70040i) q^{92} +(-0.750733 + 0.750733i) q^{93} +(-0.611313 + 11.9705i) q^{94} +(-3.36183 + 1.13031i) q^{95} +(-0.100869 + 1.02556i) q^{96} +(6.73788 + 4.89536i) q^{97} +(4.85881 + 7.46007i) q^{98} +(-5.26016 + 5.26016i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 464 q - 6 q^{2} - 6 q^{3} - 6 q^{4} - 8 q^{5} - 6 q^{6} + 12 q^{8} - 14 q^{10} - 6 q^{11} + 10 q^{12} - 6 q^{13} + 6 q^{14} - 16 q^{15} - 6 q^{16} - 12 q^{17} - 24 q^{18} - 6 q^{19} - 22 q^{20} + 12 q^{21} + 10 q^{22} - 16 q^{24} + 4 q^{26} - 18 q^{27} + 18 q^{28} - 6 q^{29} - 6 q^{30} + 12 q^{31} - 36 q^{32} - 12 q^{33} - 30 q^{34} + 44 q^{35} - 82 q^{36} - 6 q^{37} - 76 q^{38} - 52 q^{40} - 10 q^{42} - 48 q^{43} + 36 q^{44} - 12 q^{45} - 14 q^{46} - 12 q^{47} - 116 q^{48} - 400 q^{49} + 10 q^{50} - 4 q^{51} + 32 q^{52} - 6 q^{53} - 30 q^{54} + 36 q^{56} + 26 q^{58} - 6 q^{59} + 48 q^{60} - 6 q^{61} - 34 q^{62} + 72 q^{63} - 24 q^{64} + 16 q^{65} + 92 q^{66} + 30 q^{67} + 28 q^{68} - 18 q^{69} + 60 q^{70} + 22 q^{72} + 28 q^{74} - 26 q^{75} - 76 q^{76} + 36 q^{77} + 14 q^{78} - 52 q^{79} - 34 q^{80} + 72 q^{81} + 56 q^{82} - 46 q^{83} + 112 q^{84} + 2 q^{85} - 46 q^{86} - 136 q^{88} - 42 q^{90} + 36 q^{91} - 4 q^{93} + 50 q^{94} - 40 q^{95} - 66 q^{96} - 12 q^{97} - 8 q^{98} - 40 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{3}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.771820 + 1.18503i 0.545759 + 0.837942i
\(3\) −0.179927 + 0.0284977i −0.103881 + 0.0164531i −0.208159 0.978095i \(-0.566747\pi\)
0.104277 + 0.994548i \(0.466747\pi\)
\(4\) −0.808588 + 1.82926i −0.404294 + 0.914629i
\(5\) 1.03540 + 1.98191i 0.463043 + 0.886336i
\(6\) −0.172642 0.191224i −0.0704808 0.0780669i
\(7\) 0.839485i 0.317296i 0.987335 + 0.158648i \(0.0507134\pi\)
−0.987335 + 0.158648i \(0.949287\pi\)
\(8\) −2.79181 + 0.453657i −0.987053 + 0.160392i
\(9\) −2.82161 + 0.916796i −0.940536 + 0.305599i
\(10\) −1.54948 + 2.75665i −0.489988 + 0.871729i
\(11\) 2.23411 1.13833i 0.673609 0.343221i −0.0835017 0.996508i \(-0.526610\pi\)
0.757111 + 0.653287i \(0.226610\pi\)
\(12\) 0.0933575 0.352176i 0.0269500 0.101665i
\(13\) 0.110969 + 0.0565415i 0.0307772 + 0.0156818i 0.469311 0.883033i \(-0.344502\pi\)
−0.438534 + 0.898715i \(0.644502\pi\)
\(14\) −0.994814 + 0.647931i −0.265875 + 0.173167i
\(15\) −0.242776 0.327093i −0.0626845 0.0844550i
\(16\) −2.69237 2.95823i −0.673093 0.739558i
\(17\) −0.867590 + 0.630341i −0.210421 + 0.152880i −0.688004 0.725707i \(-0.741513\pi\)
0.477583 + 0.878587i \(0.341513\pi\)
\(18\) −3.26420 2.63609i −0.769380 0.621331i
\(19\) −0.248130 + 1.56663i −0.0569250 + 0.359410i 0.942740 + 0.333528i \(0.108239\pi\)
−0.999665 + 0.0258817i \(0.991761\pi\)
\(20\) −4.46263 + 0.291461i −0.997874 + 0.0651728i
\(21\) −0.0239234 0.151046i −0.00522051 0.0329610i
\(22\) 3.07329 + 1.76889i 0.655227 + 0.377129i
\(23\) 3.63886 + 1.18234i 0.758755 + 0.246535i 0.662744 0.748846i \(-0.269392\pi\)
0.0960110 + 0.995380i \(0.469392\pi\)
\(24\) 0.489394 0.161185i 0.0998972 0.0329018i
\(25\) −2.85591 + 4.10412i −0.571182 + 0.820824i
\(26\) 0.0186447 + 0.175141i 0.00365653 + 0.0343480i
\(27\) 0.968502 0.493476i 0.186388 0.0949696i
\(28\) −1.53564 0.678798i −0.290208 0.128281i
\(29\) −0.0222443 + 0.00352316i −0.00413067 + 0.000654234i −0.158499 0.987359i \(-0.550666\pi\)
0.154369 + 0.988013i \(0.450666\pi\)
\(30\) 0.200235 0.540153i 0.0365578 0.0986180i
\(31\) 4.71499 3.42564i 0.846837 0.615263i −0.0774350 0.996997i \(-0.524673\pi\)
0.924272 + 0.381734i \(0.124673\pi\)
\(32\) 1.42757 5.47376i 0.252361 0.967633i
\(33\) −0.369537 + 0.268484i −0.0643282 + 0.0467371i
\(34\) −1.41660 0.541610i −0.242944 0.0928853i
\(35\) −1.66378 + 0.869200i −0.281230 + 0.146922i
\(36\) 0.604462 5.90276i 0.100744 0.983793i
\(37\) −1.96350 + 3.85359i −0.322797 + 0.633526i −0.994198 0.107569i \(-0.965693\pi\)
0.671400 + 0.741095i \(0.265693\pi\)
\(38\) −2.04802 + 0.915117i −0.332232 + 0.148452i
\(39\) −0.0215776 0.00701100i −0.00345519 0.00112266i
\(40\) −3.78974 5.06339i −0.599210 0.800592i
\(41\) −3.07859 + 1.00029i −0.480794 + 0.156220i −0.539379 0.842063i \(-0.681341\pi\)
0.0585850 + 0.998282i \(0.481341\pi\)
\(42\) 0.160530 0.144930i 0.0247703 0.0223633i
\(43\) 2.41770 + 2.41770i 0.368696 + 0.368696i 0.867002 0.498305i \(-0.166044\pi\)
−0.498305 + 0.867002i \(0.666044\pi\)
\(44\) 0.275835 + 5.00720i 0.0415837 + 0.754864i
\(45\) −4.73849 4.64292i −0.706372 0.692125i
\(46\) 1.40744 + 5.22471i 0.207516 + 0.770342i
\(47\) 6.85681 + 4.98176i 1.00017 + 0.726665i 0.962124 0.272611i \(-0.0878873\pi\)
0.0380441 + 0.999276i \(0.487887\pi\)
\(48\) 0.568734 + 0.455541i 0.0820897 + 0.0657516i
\(49\) 6.29526 0.899324
\(50\) −7.06775 0.216694i −0.999530 0.0306451i
\(51\) 0.138140 0.138140i 0.0193434 0.0193434i
\(52\) −0.193157 + 0.157272i −0.0267861 + 0.0218097i
\(53\) −0.812896 5.13242i −0.111660 0.704992i −0.978475 0.206364i \(-0.933837\pi\)
0.866816 0.498629i \(-0.166163\pi\)
\(54\) 1.33229 + 0.766828i 0.181302 + 0.104352i
\(55\) 4.56926 + 3.24917i 0.616119 + 0.438117i
\(56\) −0.380839 2.34368i −0.0508917 0.313188i
\(57\) 0.288951i 0.0382725i
\(58\) −0.0213437 0.0236409i −0.00280256 0.00310421i
\(59\) 1.88364 3.69685i 0.245229 0.481288i −0.735280 0.677763i \(-0.762949\pi\)
0.980509 + 0.196475i \(0.0629494\pi\)
\(60\) 0.794643 0.179616i 0.102588 0.0231884i
\(61\) −1.48876 2.92187i −0.190617 0.374107i 0.775842 0.630927i \(-0.217325\pi\)
−0.966459 + 0.256820i \(0.917325\pi\)
\(62\) 7.69861 + 2.94342i 0.977724 + 0.373815i
\(63\) −0.769637 2.36870i −0.0969651 0.298428i
\(64\) 7.58839 2.53305i 0.948549 0.316631i
\(65\) 0.00283688 + 0.278473i 0.000351872 + 0.0345403i
\(66\) −0.603378 0.230691i −0.0742707 0.0283961i
\(67\) 0.913419 5.76710i 0.111592 0.704563i −0.866932 0.498427i \(-0.833911\pi\)
0.978523 0.206136i \(-0.0660889\pi\)
\(68\) −0.451533 2.09673i −0.0547565 0.254266i
\(69\) −0.688425 0.109036i −0.0828766 0.0131264i
\(70\) −2.31417 1.30076i −0.276596 0.155471i
\(71\) 9.05193 12.4589i 1.07427 1.47860i 0.208586 0.978004i \(-0.433114\pi\)
0.865681 0.500597i \(-0.166886\pi\)
\(72\) 7.46148 3.83956i 0.879344 0.452497i
\(73\) 12.0099 + 3.90226i 1.40565 + 0.456725i 0.911015 0.412374i \(-0.135300\pi\)
0.494639 + 0.869098i \(0.335300\pi\)
\(74\) −6.08208 + 0.647470i −0.707027 + 0.0752668i
\(75\) 0.396898 0.819830i 0.0458298 0.0946658i
\(76\) −2.66514 1.72065i −0.305713 0.197373i
\(77\) 0.955615 + 1.87550i 0.108902 + 0.213733i
\(78\) −0.00834581 0.0309814i −0.000944977 0.00350795i
\(79\) 0.394590 + 0.286686i 0.0443948 + 0.0322547i 0.609761 0.792585i \(-0.291265\pi\)
−0.565367 + 0.824840i \(0.691265\pi\)
\(80\) 3.07527 8.39897i 0.343826 0.939034i
\(81\) 7.04041 5.11516i 0.782268 0.568351i
\(82\) −3.56149 2.87617i −0.393301 0.317620i
\(83\) −2.13013 + 13.4491i −0.233812 + 1.47623i 0.539382 + 0.842061i \(0.318658\pi\)
−0.773194 + 0.634169i \(0.781342\pi\)
\(84\) 0.295647 + 0.0783722i 0.0322577 + 0.00855111i
\(85\) −2.14758 1.06683i −0.232937 0.115714i
\(86\) −0.999017 + 4.73108i −0.107727 + 0.510165i
\(87\) 0.00390196 0.00126782i 0.000418334 0.000135925i
\(88\) −5.72079 + 4.19153i −0.609838 + 0.446819i
\(89\) −7.89287 2.56455i −0.836642 0.271842i −0.140802 0.990038i \(-0.544968\pi\)
−0.695841 + 0.718196i \(0.744968\pi\)
\(90\) 1.84473 9.19874i 0.194452 0.969632i
\(91\) −0.0474657 + 0.0931568i −0.00497576 + 0.00976548i
\(92\) −5.10514 + 5.70040i −0.532248 + 0.594307i
\(93\) −0.750733 + 0.750733i −0.0778473 + 0.0778473i
\(94\) −0.611313 + 11.9705i −0.0630521 + 1.23467i
\(95\) −3.36183 + 1.13031i −0.344917 + 0.115968i
\(96\) −0.100869 + 1.02556i −0.0102949 + 0.104671i
\(97\) 6.73788 + 4.89536i 0.684128 + 0.497048i 0.874725 0.484620i \(-0.161042\pi\)
−0.190596 + 0.981668i \(0.561042\pi\)
\(98\) 4.85881 + 7.46007i 0.490814 + 0.753581i
\(99\) −5.26016 + 5.26016i −0.528666 + 0.528666i
\(100\) −5.19824 8.54273i −0.519824 0.854273i
\(101\) −12.4198 12.4198i −1.23582 1.23582i −0.961694 0.274123i \(-0.911612\pi\)
−0.274123 0.961694i \(-0.588388\pi\)
\(102\) 0.270319 + 0.0570807i 0.0267655 + 0.00565183i
\(103\) 5.28320 7.27170i 0.520569 0.716502i −0.465087 0.885265i \(-0.653977\pi\)
0.985657 + 0.168763i \(0.0539771\pi\)
\(104\) −0.335454 0.107511i −0.0328940 0.0105423i
\(105\) 0.274589 0.203807i 0.0267972 0.0198895i
\(106\) 5.45466 4.92461i 0.529804 0.478321i
\(107\) −0.601297 0.601297i −0.0581295 0.0581295i 0.677444 0.735574i \(-0.263087\pi\)
−0.735574 + 0.677444i \(0.763087\pi\)
\(108\) 0.119577 + 2.17066i 0.0115063 + 0.208872i
\(109\) 4.32510 + 2.20375i 0.414270 + 0.211081i 0.648687 0.761055i \(-0.275318\pi\)
−0.234418 + 0.972136i \(0.575318\pi\)
\(110\) −0.323709 + 7.92248i −0.0308644 + 0.755379i
\(111\) 0.243469 0.749321i 0.0231091 0.0711224i
\(112\) 2.48339 2.26021i 0.234659 0.213569i
\(113\) 3.75903 + 11.5691i 0.353620 + 1.08833i 0.956805 + 0.290729i \(0.0938979\pi\)
−0.603185 + 0.797601i \(0.706102\pi\)
\(114\) 0.342415 0.223018i 0.0320701 0.0208876i
\(115\) 1.42438 + 8.43608i 0.132824 + 0.786668i
\(116\) 0.0115417 0.0435394i 0.00107162 0.00404253i
\(117\) −0.364948 0.0578020i −0.0337394 0.00534380i
\(118\) 5.83470 0.621134i 0.537127 0.0571800i
\(119\) −0.529162 0.728329i −0.0485082 0.0667658i
\(120\) 0.826172 + 0.803043i 0.0754188 + 0.0733075i
\(121\) −2.77021 + 3.81286i −0.251837 + 0.346624i
\(122\) 2.31344 4.01938i 0.209449 0.363898i
\(123\) 0.525416 0.267713i 0.0473751 0.0241388i
\(124\) 2.45390 + 11.3949i 0.220366 + 1.02329i
\(125\) −11.0910 1.41075i −0.992007 0.126182i
\(126\) 2.21296 2.74025i 0.197146 0.244121i
\(127\) 0.134517 0.414002i 0.0119365 0.0367367i −0.944911 0.327328i \(-0.893852\pi\)
0.956847 + 0.290591i \(0.0938519\pi\)
\(128\) 8.85861 + 7.03741i 0.782998 + 0.622025i
\(129\) −0.503910 0.366112i −0.0443668 0.0322343i
\(130\) −0.327809 + 0.218293i −0.0287507 + 0.0191455i
\(131\) 0.436070 2.75324i 0.0380996 0.240551i −0.961288 0.275546i \(-0.911141\pi\)
0.999388 + 0.0349946i \(0.0111414\pi\)
\(132\) −0.192324 0.893072i −0.0167397 0.0777319i
\(133\) −1.31516 0.208302i −0.114039 0.0180620i
\(134\) 7.53917 3.36873i 0.651285 0.291014i
\(135\) 1.98081 + 1.40854i 0.170481 + 0.121228i
\(136\) 2.13619 2.15338i 0.183176 0.184651i
\(137\) −12.2317 + 3.97431i −1.04502 + 0.339548i −0.780713 0.624890i \(-0.785144\pi\)
−0.264309 + 0.964438i \(0.585144\pi\)
\(138\) −0.402129 0.899959i −0.0342315 0.0766096i
\(139\) −2.70217 + 1.37682i −0.229195 + 0.116781i −0.564817 0.825216i \(-0.691053\pi\)
0.335622 + 0.941997i \(0.391053\pi\)
\(140\) −0.244678 3.74631i −0.0206790 0.316621i
\(141\) −1.37570 0.700952i −0.115854 0.0590308i
\(142\) 21.7506 + 1.11076i 1.82527 + 0.0932132i
\(143\) 0.312280 0.0261141
\(144\) 10.3089 + 5.87862i 0.859076 + 0.489885i
\(145\) −0.0300143 0.0404383i −0.00249255 0.00335822i
\(146\) 4.64520 + 17.2439i 0.384440 + 1.42712i
\(147\) −1.13269 + 0.179400i −0.0934227 + 0.0147967i
\(148\) −5.46154 6.70771i −0.448936 0.551371i
\(149\) −12.1528 12.1528i −0.995594 0.995594i 0.00439656 0.999990i \(-0.498601\pi\)
−0.999990 + 0.00439656i \(0.998601\pi\)
\(150\) 1.27786 0.162425i 0.104336 0.0132620i
\(151\) 16.3690i 1.33209i −0.745912 0.666044i \(-0.767986\pi\)
0.745912 0.666044i \(-0.232014\pi\)
\(152\) −0.0179824 4.48630i −0.00145856 0.363887i
\(153\) 1.87010 2.57398i 0.151189 0.208094i
\(154\) −1.48496 + 2.57998i −0.119661 + 0.207901i
\(155\) 11.6712 + 5.79777i 0.937452 + 0.465688i
\(156\) 0.0302724 0.0338021i 0.00242373 0.00270633i
\(157\) −9.07680 + 9.07680i −0.724407 + 0.724407i −0.969500 0.245092i \(-0.921182\pi\)
0.245092 + 0.969500i \(0.421182\pi\)
\(158\) −0.0351793 + 0.688871i −0.00279872 + 0.0548036i
\(159\) 0.292524 + 0.900297i 0.0231987 + 0.0713982i
\(160\) 12.3266 2.83821i 0.974502 0.224380i
\(161\) −0.992555 + 3.05477i −0.0782243 + 0.240750i
\(162\) 11.4955 + 4.39511i 0.903175 + 0.345313i
\(163\) −3.86784 1.97076i −0.302953 0.154362i 0.295905 0.955217i \(-0.404379\pi\)
−0.598858 + 0.800855i \(0.704379\pi\)
\(164\) 0.659514 6.44036i 0.0514994 0.502907i
\(165\) −0.914729 0.454400i −0.0712115 0.0353750i
\(166\) −17.5816 + 7.85602i −1.36460 + 0.609745i
\(167\) −10.8751 14.9682i −0.841537 1.15828i −0.985664 0.168717i \(-0.946037\pi\)
0.144127 0.989559i \(-0.453963\pi\)
\(168\) 0.135313 + 0.410839i 0.0104396 + 0.0316969i
\(169\) −7.63209 10.5047i −0.587084 0.808052i
\(170\) −0.393318 3.36834i −0.0301661 0.258340i
\(171\) −0.736156 4.64791i −0.0562953 0.355434i
\(172\) −6.37753 + 2.46768i −0.486282 + 0.188159i
\(173\) 6.92936 + 13.5996i 0.526830 + 1.03396i 0.989103 + 0.147224i \(0.0470338\pi\)
−0.462274 + 0.886737i \(0.652966\pi\)
\(174\) 0.00451402 + 0.00364541i 0.000342207 + 0.000276358i
\(175\) −3.44535 2.39749i −0.260444 0.181233i
\(176\) −9.38251 3.54419i −0.707233 0.267153i
\(177\) −0.233566 + 0.718843i −0.0175559 + 0.0540315i
\(178\) −3.05281 11.3326i −0.228818 0.849418i
\(179\) −22.4109 + 3.54954i −1.67507 + 0.265305i −0.920451 0.390858i \(-0.872178\pi\)
−0.754619 + 0.656163i \(0.772178\pi\)
\(180\) 12.3246 4.91371i 0.918620 0.366246i
\(181\) −3.60976 0.571731i −0.268312 0.0424964i 0.0208288 0.999783i \(-0.493369\pi\)
−0.289141 + 0.957287i \(0.593369\pi\)
\(182\) −0.147028 + 0.0156520i −0.0108985 + 0.00116020i
\(183\) 0.351136 + 0.483297i 0.0259567 + 0.0357263i
\(184\) −10.6954 1.65007i −0.788474 0.121644i
\(185\) −9.67045 + 0.0985157i −0.710986 + 0.00724301i
\(186\) −1.46907 0.310210i −0.107717 0.0227457i
\(187\) −1.22075 + 2.39586i −0.0892701 + 0.175202i
\(188\) −14.6573 + 8.51468i −1.06899 + 0.620997i
\(189\) 0.414266 + 0.813043i 0.0301334 + 0.0591402i
\(190\) −3.93419 3.11147i −0.285416 0.225730i
\(191\) 3.54028 + 10.8959i 0.256166 + 0.788397i 0.993598 + 0.112976i \(0.0360383\pi\)
−0.737432 + 0.675422i \(0.763962\pi\)
\(192\) −1.29317 + 0.672016i −0.0933267 + 0.0484986i
\(193\) 15.4728 1.11376 0.556878 0.830594i \(-0.311999\pi\)
0.556878 + 0.830594i \(0.311999\pi\)
\(194\) −0.600710 + 11.7629i −0.0431285 + 0.844528i
\(195\) −0.00844627 0.0500240i −0.000604850 0.00358230i
\(196\) −5.09028 + 11.5157i −0.363591 + 0.822547i
\(197\) 0.237172 + 1.49744i 0.0168978 + 0.106689i 0.994696 0.102862i \(-0.0328000\pi\)
−0.977798 + 0.209550i \(0.932800\pi\)
\(198\) −10.2933 2.17354i −0.731515 0.154467i
\(199\) 13.9903i 0.991747i −0.868395 0.495874i \(-0.834848\pi\)
0.868395 0.495874i \(-0.165152\pi\)
\(200\) 6.11128 12.7535i 0.432133 0.901810i
\(201\) 1.06369i 0.0750268i
\(202\) 5.13198 24.3037i 0.361085 1.71000i
\(203\) −0.00295764 0.0186738i −0.000207585 0.00131064i
\(204\) 0.140995 + 0.364392i 0.00987164 + 0.0255125i
\(205\) −5.17005 5.06577i −0.361092 0.353809i
\(206\) 12.6949 + 0.648302i 0.884493 + 0.0451694i
\(207\) −11.3514 −0.788977
\(208\) −0.131507 0.480502i −0.00911834 0.0333169i
\(209\) 1.22900 + 3.78248i 0.0850119 + 0.261640i
\(210\) 0.453451 + 0.168094i 0.0312911 + 0.0115996i
\(211\) 6.16701 + 12.1034i 0.424555 + 0.833235i 0.999883 + 0.0153126i \(0.00487435\pi\)
−0.575328 + 0.817923i \(0.695126\pi\)
\(212\) 10.0458 + 2.66302i 0.689950 + 0.182897i
\(213\) −1.27364 + 2.49966i −0.0872683 + 0.171274i
\(214\) 0.248461 1.17665i 0.0169845 0.0804339i
\(215\) −2.28838 + 7.29494i −0.156066 + 0.497511i
\(216\) −2.48000 + 1.81706i −0.168743 + 0.123635i
\(217\) 2.87577 + 3.95816i 0.195220 + 0.268698i
\(218\) 0.726693 + 6.82627i 0.0492178 + 0.462333i
\(219\) −2.27212 0.359868i −0.153535 0.0243176i
\(220\) −9.63821 + 5.73112i −0.649808 + 0.386392i
\(221\) −0.131916 + 0.0208934i −0.00887362 + 0.00140544i
\(222\) 1.07588 0.289823i 0.0722084 0.0194516i
\(223\) 6.76970 20.8350i 0.453332 1.39521i −0.419749 0.907640i \(-0.637882\pi\)
0.873082 0.487574i \(-0.162118\pi\)
\(224\) 4.59514 + 1.19842i 0.307026 + 0.0800729i
\(225\) 4.29561 14.1985i 0.286374 0.946567i
\(226\) −10.8084 + 13.3838i −0.718967 + 0.890279i
\(227\) −13.3900 26.2794i −0.888728 1.74423i −0.626877 0.779118i \(-0.715667\pi\)
−0.261851 0.965108i \(-0.584333\pi\)
\(228\) 0.528566 + 0.233642i 0.0350052 + 0.0154733i
\(229\) −2.06958 13.0668i −0.136762 0.863481i −0.956710 0.291043i \(-0.905998\pi\)
0.819948 0.572438i \(-0.194002\pi\)
\(230\) −8.89763 + 8.19907i −0.586692 + 0.540630i
\(231\) −0.225389 0.310221i −0.0148295 0.0204110i
\(232\) 0.0605036 0.0199273i 0.00397226 0.00130829i
\(233\) 6.94431 + 9.55803i 0.454937 + 0.626167i 0.973449 0.228903i \(-0.0735139\pi\)
−0.518512 + 0.855070i \(0.673514\pi\)
\(234\) −0.213177 0.477086i −0.0139358 0.0311881i
\(235\) −2.77387 + 18.7477i −0.180948 + 1.22296i
\(236\) 5.23940 + 6.43488i 0.341056 + 0.418875i
\(237\) −0.0791674 0.0403378i −0.00514248 0.00262022i
\(238\) 0.454673 1.18921i 0.0294721 0.0770851i
\(239\) −6.12262 + 18.8435i −0.396039 + 1.21888i 0.532110 + 0.846675i \(0.321399\pi\)
−0.928149 + 0.372208i \(0.878601\pi\)
\(240\) −0.313974 + 1.59884i −0.0202669 + 0.103205i
\(241\) −0.578108 1.77923i −0.0372392 0.114610i 0.930709 0.365761i \(-0.119191\pi\)
−0.967948 + 0.251150i \(0.919191\pi\)
\(242\) −6.65645 0.339932i −0.427893 0.0218517i
\(243\) −3.42681 + 3.42681i −0.219830 + 0.219830i
\(244\) 6.54864 0.360750i 0.419234 0.0230946i
\(245\) 6.51810 + 12.4766i 0.416426 + 0.797102i
\(246\) 0.722774 + 0.416007i 0.0460824 + 0.0265236i
\(247\) −0.116114 + 0.159818i −0.00738819 + 0.0101690i
\(248\) −11.6093 + 11.7027i −0.737190 + 0.743124i
\(249\) 2.48056i 0.157199i
\(250\) −6.88845 14.2320i −0.435664 0.900109i
\(251\) −6.85896 6.85896i −0.432934 0.432934i 0.456691 0.889625i \(-0.349034\pi\)
−0.889625 + 0.456691i \(0.849034\pi\)
\(252\) 4.95528 + 0.507437i 0.312153 + 0.0319655i
\(253\) 9.47551 1.50077i 0.595720 0.0943528i
\(254\) 0.594427 0.160128i 0.0372977 0.0100473i
\(255\) 0.416810 + 0.130751i 0.0261016 + 0.00818793i
\(256\) −1.50228 + 15.9293i −0.0938925 + 0.995582i
\(257\) −19.6952 −1.22855 −0.614277 0.789091i \(-0.710552\pi\)
−0.614277 + 0.789091i \(0.710552\pi\)
\(258\) 0.0449256 0.879720i 0.00279695 0.0547690i
\(259\) −3.23503 1.64833i −0.201015 0.102422i
\(260\) −0.511693 0.219980i −0.0317338 0.0136426i
\(261\) 0.0595348 0.0303345i 0.00368511 0.00187766i
\(262\) 3.59923 1.60825i 0.222361 0.0993578i
\(263\) −18.6964 + 6.07482i −1.15287 + 0.374589i −0.822223 0.569166i \(-0.807266\pi\)
−0.330645 + 0.943755i \(0.607266\pi\)
\(264\) 0.909877 0.917200i 0.0559991 0.0564498i
\(265\) 9.33031 6.92518i 0.573157 0.425410i
\(266\) −0.768227 1.71928i −0.0471030 0.105416i
\(267\) 1.49323 + 0.236504i 0.0913840 + 0.0144738i
\(268\) 9.81093 + 6.33408i 0.599298 + 0.386916i
\(269\) 2.75687 17.4062i 0.168090 1.06128i −0.748993 0.662578i \(-0.769462\pi\)
0.917082 0.398697i \(-0.130538\pi\)
\(270\) −0.140330 + 3.43445i −0.00854023 + 0.209014i
\(271\) 18.1595 + 13.1937i 1.10311 + 0.801459i 0.981565 0.191127i \(-0.0612142\pi\)
0.121548 + 0.992586i \(0.461214\pi\)
\(272\) 4.20057 + 0.869421i 0.254697 + 0.0527164i
\(273\) 0.00588563 0.0181141i 0.000356215 0.00109632i
\(274\) −14.1503 11.4274i −0.854852 0.690357i
\(275\) −1.70855 + 12.4200i −0.103029 + 0.748956i
\(276\) 0.756107 1.17114i 0.0455123 0.0704944i
\(277\) 20.8788 10.6383i 1.25449 0.639194i 0.304808 0.952414i \(-0.401408\pi\)
0.949681 + 0.313220i \(0.101408\pi\)
\(278\) −3.71716 2.13949i −0.222941 0.128318i
\(279\) −10.1632 + 13.9885i −0.608457 + 0.837469i
\(280\) 4.25064 3.18143i 0.254024 0.190127i
\(281\) 13.6481 + 18.7851i 0.814180 + 1.12062i 0.990665 + 0.136319i \(0.0435273\pi\)
−0.176485 + 0.984303i \(0.556473\pi\)
\(282\) −0.231141 2.17125i −0.0137642 0.129296i
\(283\) −12.8888 2.04139i −0.766162 0.121348i −0.238892 0.971046i \(-0.576784\pi\)
−0.527270 + 0.849698i \(0.676784\pi\)
\(284\) 15.4713 + 26.6324i 0.918052 + 1.58034i
\(285\) 0.572674 0.299179i 0.0339223 0.0177218i
\(286\) 0.241024 + 0.370061i 0.0142520 + 0.0218821i
\(287\) −0.839732 2.58443i −0.0495678 0.152554i
\(288\) 0.990288 + 16.7536i 0.0583533 + 0.987215i
\(289\) −4.89791 + 15.0742i −0.288112 + 0.886718i
\(290\) 0.0247550 0.0667789i 0.00145366 0.00392139i
\(291\) −1.35184 0.688794i −0.0792460 0.0403778i
\(292\) −16.8493 + 18.8139i −0.986031 + 1.10100i
\(293\) −3.90760 3.90760i −0.228284 0.228284i 0.583691 0.811976i \(-0.301608\pi\)
−0.811976 + 0.583691i \(0.801608\pi\)
\(294\) −1.08683 1.20381i −0.0633851 0.0702074i
\(295\) 9.27711 0.0945086i 0.540134 0.00550250i
\(296\) 3.73351 11.6492i 0.217006 0.677098i
\(297\) 1.60200 2.20496i 0.0929573 0.127945i
\(298\) 5.02164 23.7811i 0.290896 1.37760i
\(299\) 0.336950 + 0.336950i 0.0194863 + 0.0194863i
\(300\) 1.17875 + 1.38893i 0.0680554 + 0.0801901i
\(301\) −2.02963 + 2.02963i −0.116986 + 0.116986i
\(302\) 19.3977 12.6339i 1.11621 0.726999i
\(303\) 2.58860 + 1.88073i 0.148711 + 0.108045i
\(304\) 5.30252 3.48393i 0.304120 0.199817i
\(305\) 4.24940 5.97588i 0.243320 0.342178i
\(306\) 4.49362 + 0.229481i 0.256883 + 0.0131185i
\(307\) 2.56545 2.56545i 0.146418 0.146418i −0.630098 0.776516i \(-0.716985\pi\)
0.776516 + 0.630098i \(0.216985\pi\)
\(308\) −4.20347 + 0.231560i −0.239515 + 0.0131943i
\(309\) −0.743365 + 1.45894i −0.0422886 + 0.0829960i
\(310\) 2.13752 + 18.3055i 0.121403 + 1.03968i
\(311\) 6.54533 + 2.12671i 0.371152 + 0.120595i 0.488653 0.872478i \(-0.337488\pi\)
−0.117501 + 0.993073i \(0.537488\pi\)
\(312\) 0.0634212 + 0.00978451i 0.00359052 + 0.000553939i
\(313\) 32.1357 10.4415i 1.81642 0.590190i 0.816501 0.577343i \(-0.195911\pi\)
0.999917 0.0128468i \(-0.00408937\pi\)
\(314\) −17.7619 3.75062i −1.00236 0.211660i
\(315\) 3.89766 3.97789i 0.219608 0.224129i
\(316\) −0.843484 + 0.489996i −0.0474497 + 0.0275644i
\(317\) −3.04183 + 19.2053i −0.170846 + 1.07868i 0.742007 + 0.670392i \(0.233874\pi\)
−0.912853 + 0.408288i \(0.866126\pi\)
\(318\) −0.841102 + 1.04152i −0.0471667 + 0.0584054i
\(319\) −0.0456857 + 0.0331926i −0.00255791 + 0.00185843i
\(320\) 12.8773 + 12.4168i 0.719861 + 0.694119i
\(321\) 0.125325 + 0.0910541i 0.00699497 + 0.00508215i
\(322\) −4.38607 + 1.18153i −0.244426 + 0.0658439i
\(323\) −0.772237 1.51560i −0.0429684 0.0843303i
\(324\) 3.66415 + 17.0148i 0.203564 + 0.945266i
\(325\) −0.548970 + 0.293952i −0.0304514 + 0.0163055i
\(326\) −0.649865 6.10458i −0.0359927 0.338102i
\(327\) −0.841006 0.273259i −0.0465077 0.0151113i
\(328\) 8.14103 4.18925i 0.449513 0.231313i
\(329\) −4.18212 + 5.75619i −0.230568 + 0.317349i
\(330\) −0.167528 1.43470i −0.00922212 0.0789774i
\(331\) −23.2091 3.67595i −1.27569 0.202049i −0.518403 0.855136i \(-0.673473\pi\)
−0.757282 + 0.653088i \(0.773473\pi\)
\(332\) −22.8795 14.7713i −1.25567 0.810682i
\(333\) 2.00728 12.6734i 0.109998 0.694500i
\(334\) 9.34421 24.4400i 0.511292 1.33730i
\(335\) 12.3756 4.16092i 0.676151 0.227335i
\(336\) −0.382419 + 0.477444i −0.0208627 + 0.0260467i
\(337\) 1.06664 + 3.28277i 0.0581035 + 0.178824i 0.975896 0.218236i \(-0.0700304\pi\)
−0.917792 + 0.397060i \(0.870030\pi\)
\(338\) 6.55774 17.1520i 0.356694 0.932944i
\(339\) −1.00605 1.97448i −0.0546409 0.107239i
\(340\) 3.68801 3.06585i 0.200010 0.166269i
\(341\) 6.63427 13.0205i 0.359266 0.705099i
\(342\) 4.93973 4.45971i 0.267110 0.241154i
\(343\) 11.1612i 0.602647i
\(344\) −7.84657 5.65295i −0.423059 0.304787i
\(345\) −0.496694 1.47729i −0.0267411 0.0795346i
\(346\) −10.7677 + 18.7080i −0.578878 + 1.00575i
\(347\) 4.23269 + 26.7242i 0.227223 + 1.43463i 0.792573 + 0.609777i \(0.208741\pi\)
−0.565350 + 0.824851i \(0.691259\pi\)
\(348\) −0.000835902 0.00816284i −4.48091e−5 0.000437574i
\(349\) 23.7050 23.7050i 1.26890 1.26890i 0.322240 0.946658i \(-0.395564\pi\)
0.946658 0.322240i \(-0.104436\pi\)
\(350\) 0.181911 5.93327i 0.00972356 0.317147i
\(351\) 0.135376 0.00722581
\(352\) −3.04163 13.8540i −0.162120 0.738422i
\(353\) −18.3747 13.3500i −0.977988 0.710550i −0.0207298 0.999785i \(-0.506599\pi\)
−0.957258 + 0.289235i \(0.906599\pi\)
\(354\) −1.03212 + 0.278034i −0.0548566 + 0.0147774i
\(355\) 34.0647 + 5.04016i 1.80797 + 0.267504i
\(356\) 11.0733 12.3644i 0.586884 0.655314i
\(357\) 0.115966 + 0.115966i 0.00613759 + 0.00613759i
\(358\) −21.5035 23.8180i −1.13649 1.25882i
\(359\) −4.30314 + 1.39817i −0.227111 + 0.0737928i −0.420362 0.907357i \(-0.638097\pi\)
0.193251 + 0.981149i \(0.438097\pi\)
\(360\) 15.3352 + 10.8125i 0.808238 + 0.569868i
\(361\) 15.6773 + 5.09387i 0.825121 + 0.268098i
\(362\) −2.10857 4.71895i −0.110824 0.248022i
\(363\) 0.389778 0.764982i 0.0204580 0.0401512i
\(364\) −0.132028 0.162153i −0.00692012 0.00849910i
\(365\) 4.70111 + 27.8429i 0.246068 + 1.45736i
\(366\) −0.301707 + 0.789125i −0.0157705 + 0.0412482i
\(367\) −3.37507 + 2.45213i −0.176177 + 0.128000i −0.672379 0.740207i \(-0.734728\pi\)
0.496202 + 0.868207i \(0.334728\pi\)
\(368\) −6.29954 13.9479i −0.328386 0.727084i
\(369\) 7.76950 5.64487i 0.404464 0.293860i
\(370\) −7.58059 11.3837i −0.394096 0.591812i
\(371\) 4.30859 0.682414i 0.223691 0.0354292i
\(372\) −0.766250 1.98032i −0.0397282 0.102675i
\(373\) −5.54455 + 2.82509i −0.287086 + 0.146278i −0.591603 0.806229i \(-0.701505\pi\)
0.304517 + 0.952507i \(0.401505\pi\)
\(374\) −3.78136 + 0.402546i −0.195529 + 0.0208151i
\(375\) 2.03577 0.0622342i 0.105127 0.00321376i
\(376\) −21.4029 10.7975i −1.10377 0.556838i
\(377\) −0.00266763 0.000866767i −0.000137390 4.46408e-5i
\(378\) −0.643741 + 1.11844i −0.0331105 + 0.0575264i
\(379\) −0.176918 1.11702i −0.00908768 0.0573773i 0.982728 0.185057i \(-0.0592470\pi\)
−0.991815 + 0.127680i \(0.959247\pi\)
\(380\) 0.650700 7.06362i 0.0333802 0.362356i
\(381\) −0.0124053 + 0.0783237i −0.000635540 + 0.00401264i
\(382\) −10.1795 + 12.6050i −0.520827 + 0.644927i
\(383\) 3.73105 2.71076i 0.190648 0.138514i −0.488367 0.872638i \(-0.662407\pi\)
0.679015 + 0.734125i \(0.262407\pi\)
\(384\) −1.79446 1.01377i −0.0915729 0.0517338i
\(385\) −2.72763 + 3.83583i −0.139013 + 0.195492i
\(386\) 11.9422 + 18.3357i 0.607843 + 0.933263i
\(387\) −9.03835 4.60527i −0.459445 0.234099i
\(388\) −14.4030 + 8.36700i −0.731204 + 0.424770i
\(389\) 28.5952 14.5700i 1.44983 0.738728i 0.460952 0.887425i \(-0.347508\pi\)
0.988883 + 0.148697i \(0.0475080\pi\)
\(390\) 0.0527609 0.0486186i 0.00267165 0.00246190i
\(391\) −3.90232 + 1.26794i −0.197349 + 0.0641225i
\(392\) −17.5752 + 2.85589i −0.887680 + 0.144244i
\(393\) 0.507809i 0.0256156i
\(394\) −1.59146 + 1.43681i −0.0801767 + 0.0723856i
\(395\) −0.159629 + 1.07887i −0.00803179 + 0.0542841i
\(396\) −5.36888 13.8755i −0.269797 0.697269i
\(397\) 0.363179 0.0575218i 0.0182274 0.00288694i −0.147314 0.989090i \(-0.547063\pi\)
0.165542 + 0.986203i \(0.447063\pi\)
\(398\) 16.5789 10.7980i 0.831027 0.541255i
\(399\) 0.242570 0.0121437
\(400\) 19.8301 2.60137i 0.991505 0.130068i
\(401\) −25.4220 −1.26951 −0.634756 0.772712i \(-0.718900\pi\)
−0.634756 + 0.772712i \(0.718900\pi\)
\(402\) −1.26050 + 0.820976i −0.0628681 + 0.0409466i
\(403\) 0.716908 0.113547i 0.0357117 0.00565618i
\(404\) 32.7616 12.6765i 1.62995 0.630681i
\(405\) 17.4274 + 8.65722i 0.865974 + 0.430181i
\(406\) 0.0198462 0.0179177i 0.000984951 0.000889240i
\(407\) 10.8444i 0.537539i
\(408\) −0.322992 + 0.448328i −0.0159905 + 0.0221955i
\(409\) −0.250511 + 0.0813958i −0.0123870 + 0.00402476i −0.315204 0.949024i \(-0.602073\pi\)
0.302817 + 0.953049i \(0.402073\pi\)
\(410\) 2.01274 10.0365i 0.0994022 0.495668i
\(411\) 2.08755 1.06366i 0.102971 0.0524666i
\(412\) 9.02989 + 15.5441i 0.444871 + 0.765805i
\(413\) 3.10345 + 1.58128i 0.152711 + 0.0778099i
\(414\) −8.76124 13.4517i −0.430592 0.661117i
\(415\) −28.8604 + 9.70344i −1.41670 + 0.476323i
\(416\) 0.467910 0.526701i 0.0229412 0.0258236i
\(417\) 0.446958 0.324734i 0.0218876 0.0159023i
\(418\) −3.53378 + 4.37580i −0.172843 + 0.214027i
\(419\) 5.34513 33.7478i 0.261127 1.64869i −0.413482 0.910512i \(-0.635687\pi\)
0.674608 0.738176i \(-0.264313\pi\)
\(420\) 0.150785 + 0.667091i 0.00735757 + 0.0325507i
\(421\) 0.764844 + 4.82903i 0.0372762 + 0.235353i 0.999291 0.0376438i \(-0.0119852\pi\)
−0.962015 + 0.272997i \(0.911985\pi\)
\(422\) −9.58311 + 16.6498i −0.466498 + 0.810498i
\(423\) −23.9145 7.77029i −1.16276 0.377804i
\(424\) 4.59781 + 13.9600i 0.223289 + 0.677956i
\(425\) −0.109237 5.36089i −0.00529878 0.260041i
\(426\) −3.94519 + 0.419986i −0.191145 + 0.0203484i
\(427\) 2.45286 1.24980i 0.118702 0.0604819i
\(428\) 1.58613 0.613725i 0.0766684 0.0296655i
\(429\) −0.0561876 + 0.00889925i −0.00271276 + 0.000429660i
\(430\) −10.4109 + 2.91858i −0.502060 + 0.140747i
\(431\) 32.6825 23.7452i 1.57426 1.14377i 0.651333 0.758792i \(-0.274210\pi\)
0.922927 0.384975i \(-0.125790\pi\)
\(432\) −4.06738 1.53643i −0.195692 0.0739217i
\(433\) 18.3788 13.3530i 0.883229 0.641704i −0.0508746 0.998705i \(-0.516201\pi\)
0.934104 + 0.357001i \(0.116201\pi\)
\(434\) −2.47096 + 6.46287i −0.118610 + 0.310227i
\(435\) 0.00655279 + 0.00642062i 0.000314182 + 0.000307845i
\(436\) −7.52846 + 6.12980i −0.360548 + 0.293564i
\(437\) −2.75520 + 5.40739i −0.131799 + 0.258670i
\(438\) −1.32721 2.97028i −0.0634166 0.141925i
\(439\) 31.4727 + 10.2261i 1.50211 + 0.488066i 0.940633 0.339425i \(-0.110233\pi\)
0.561479 + 0.827491i \(0.310233\pi\)
\(440\) −14.2305 6.99817i −0.678413 0.333625i
\(441\) −17.7628 + 5.77147i −0.845846 + 0.274832i
\(442\) −0.126575 0.140198i −0.00602054 0.00666855i
\(443\) 6.74369 + 6.74369i 0.320403 + 0.320403i 0.848921 0.528519i \(-0.177252\pi\)
−0.528519 + 0.848921i \(0.677252\pi\)
\(444\) 1.17383 + 1.05126i 0.0557077 + 0.0498906i
\(445\) −3.08955 18.2983i −0.146459 0.867420i
\(446\) 29.9151 8.05857i 1.41652 0.381584i
\(447\) 2.53294 + 1.84029i 0.119804 + 0.0870427i
\(448\) 2.12646 + 6.37034i 0.100466 + 0.300970i
\(449\) 31.4116 1.48241 0.741203 0.671281i \(-0.234256\pi\)
0.741203 + 0.671281i \(0.234256\pi\)
\(450\) 20.1411 5.86826i 0.949459 0.276632i
\(451\) −5.73923 + 5.73923i −0.270250 + 0.270250i
\(452\) −24.2024 2.47841i −1.13839 0.116574i
\(453\) 0.466478 + 2.94523i 0.0219170 + 0.138379i
\(454\) 20.8072 36.1506i 0.976530 1.69663i
\(455\) −0.233774 + 0.00238152i −0.0109595 + 0.000111647i
\(456\) 0.131085 + 0.806696i 0.00613861 + 0.0377770i
\(457\) 1.36964i 0.0640690i 0.999487 + 0.0320345i \(0.0101986\pi\)
−0.999487 + 0.0320345i \(0.989801\pi\)
\(458\) 13.8872 12.5378i 0.648908 0.585851i
\(459\) −0.529204 + 1.03862i −0.0247011 + 0.0484787i
\(460\) −16.5835 4.21575i −0.773210 0.196560i
\(461\) −1.46235 2.87002i −0.0681083 0.133670i 0.854442 0.519546i \(-0.173899\pi\)
−0.922550 + 0.385877i \(0.873899\pi\)
\(462\) 0.193661 0.506527i 0.00900994 0.0235658i
\(463\) −11.7529 36.1716i −0.546202 1.68104i −0.718114 0.695925i \(-0.754994\pi\)
0.171912 0.985112i \(-0.445006\pi\)
\(464\) 0.0703123 + 0.0563183i 0.00326417 + 0.00261451i
\(465\) −2.26519 0.710576i −0.105046 0.0329522i
\(466\) −5.96678 + 15.6063i −0.276406 + 0.722947i
\(467\) 4.59680 29.0231i 0.212715 1.34303i −0.617934 0.786230i \(-0.712030\pi\)
0.830648 0.556797i \(-0.187970\pi\)
\(468\) 0.400827 0.620846i 0.0185282 0.0286986i
\(469\) 4.84139 + 0.766801i 0.223555 + 0.0354076i
\(470\) −24.3574 + 11.1827i −1.12353 + 0.515819i
\(471\) 1.37450 1.89183i 0.0633334 0.0871710i
\(472\) −3.58165 + 11.1754i −0.164859 + 0.514390i
\(473\) 8.15356 + 2.64925i 0.374901 + 0.121813i
\(474\) −0.0133015 0.124949i −0.000610958 0.00573911i
\(475\) −5.72101 5.49251i −0.262498 0.252014i
\(476\) 1.76018 0.379056i 0.0806775 0.0173740i
\(477\) 6.99906 + 13.7364i 0.320465 + 0.628948i
\(478\) −27.0556 + 7.28829i −1.23750 + 0.333359i
\(479\) 11.0192 + 8.00595i 0.503482 + 0.365801i 0.810346 0.585952i \(-0.199279\pi\)
−0.306863 + 0.951754i \(0.599279\pi\)
\(480\) −2.13701 + 0.861950i −0.0975405 + 0.0393425i
\(481\) −0.435775 + 0.316609i −0.0198696 + 0.0144361i
\(482\) 1.66225 2.05832i 0.0757133 0.0937540i
\(483\) 0.0915339 0.577922i 0.00416494 0.0262964i
\(484\) −4.73475 8.15046i −0.215216 0.370475i
\(485\) −2.72576 + 18.4225i −0.123770 + 0.836522i
\(486\) −6.70576 1.41599i −0.304179 0.0642307i
\(487\) −20.5941 + 6.69142i −0.933206 + 0.303217i −0.735873 0.677119i \(-0.763228\pi\)
−0.197333 + 0.980336i \(0.563228\pi\)
\(488\) 5.48187 + 7.48190i 0.248153 + 0.338690i
\(489\) 0.752093 + 0.244370i 0.0340108 + 0.0110508i
\(490\) −9.75437 + 17.3538i −0.440658 + 0.783967i
\(491\) 15.6837 30.7810i 0.707796 1.38913i −0.204200 0.978929i \(-0.565459\pi\)
0.911996 0.410199i \(-0.134541\pi\)
\(492\) 0.0648707 + 1.17759i 0.00292460 + 0.0530899i
\(493\) 0.0170782 0.0170782i 0.000769162 0.000769162i
\(494\) −0.279008 0.0142484i −0.0125532 0.000641067i
\(495\) −15.8715 4.97879i −0.713370 0.223780i
\(496\) −22.8283 4.72494i −1.02502 0.212156i
\(497\) 10.4591 + 7.59896i 0.469153 + 0.340860i
\(498\) 2.93954 1.91455i 0.131724 0.0857930i
\(499\) −18.1524 + 18.1524i −0.812611 + 0.812611i −0.985025 0.172414i \(-0.944843\pi\)
0.172414 + 0.985025i \(0.444843\pi\)
\(500\) 11.5487 19.1475i 0.516472 0.856304i
\(501\) 2.38328 + 2.38328i 0.106477 + 0.106477i
\(502\) 2.83419 13.4219i 0.126496 0.599051i
\(503\) −18.5065 + 25.4720i −0.825162 + 1.13574i 0.163642 + 0.986520i \(0.447676\pi\)
−0.988804 + 0.149219i \(0.952324\pi\)
\(504\) 3.22326 + 6.26380i 0.143575 + 0.279012i
\(505\) 11.7555 37.4744i 0.523112 1.66759i
\(506\) 9.09185 + 10.0704i 0.404182 + 0.447685i
\(507\) 1.67258 + 1.67258i 0.0742819 + 0.0742819i
\(508\) 0.648547 + 0.580824i 0.0287746 + 0.0257699i
\(509\) 15.1969 + 7.74323i 0.673592 + 0.343212i 0.757104 0.653294i \(-0.226614\pi\)
−0.0835116 + 0.996507i \(0.526614\pi\)
\(510\) 0.166759 + 0.594848i 0.00738420 + 0.0263403i
\(511\) −3.27589 + 10.0821i −0.144917 + 0.446008i
\(512\) −20.0362 + 10.5143i −0.885483 + 0.464672i
\(513\) 0.532782 + 1.63973i 0.0235229 + 0.0723960i
\(514\) −15.2012 23.3394i −0.670494 1.02946i
\(515\) 19.8820 + 2.94172i 0.876107 + 0.129627i
\(516\) 1.07717 0.625747i 0.0474197 0.0275470i
\(517\) 20.9898 + 3.32445i 0.923129 + 0.146209i
\(518\) −0.543541 5.10582i −0.0238818 0.224337i
\(519\) −1.63434 2.24948i −0.0717395 0.0987410i
\(520\) −0.134251 0.776156i −0.00588731 0.0340367i
\(521\) −15.1679 + 20.8768i −0.664518 + 0.914630i −0.999620 0.0275512i \(-0.991229\pi\)
0.335102 + 0.942182i \(0.391229\pi\)
\(522\) 0.0818974 + 0.0471377i 0.00358455 + 0.00206316i
\(523\) −2.08351 + 1.06160i −0.0911053 + 0.0464205i −0.498949 0.866631i \(-0.666281\pi\)
0.407844 + 0.913052i \(0.366281\pi\)
\(524\) 4.68378 + 3.02392i 0.204612 + 0.132100i
\(525\) 0.688235 + 0.333190i 0.0300370 + 0.0145416i
\(526\) −21.6291 17.4671i −0.943072 0.761601i
\(527\) −1.93136 + 5.94410i −0.0841312 + 0.258929i
\(528\) 1.78917 + 0.370317i 0.0778636 + 0.0161160i
\(529\) −6.76399 4.91433i −0.294086 0.213666i
\(530\) 15.4079 + 5.71170i 0.669275 + 0.248101i
\(531\) −1.92563 + 12.1580i −0.0835653 + 0.527610i
\(532\) 1.44446 2.23735i 0.0626255 0.0970012i
\(533\) −0.398186 0.0630664i −0.0172473 0.00273171i
\(534\) 0.872238 + 1.95206i 0.0377454 + 0.0844737i
\(535\) 0.569133 1.81429i 0.0246058 0.0784388i
\(536\) 0.0661969 + 16.5150i 0.00285927 + 0.713340i
\(537\) 3.93118 1.27732i 0.169643 0.0551203i
\(538\) 22.7547 10.1675i 0.981024 0.438351i
\(539\) 14.0643 7.16612i 0.605792 0.308667i
\(540\) −4.17824 + 2.48448i −0.179803 + 0.106915i
\(541\) −2.46372 1.25533i −0.105924 0.0539708i 0.400226 0.916417i \(-0.368932\pi\)
−0.506150 + 0.862446i \(0.668932\pi\)
\(542\) −1.61900 + 31.7027i −0.0695419 + 1.36175i
\(543\) 0.665788 0.0285717
\(544\) 2.21179 + 5.64883i 0.0948298 + 0.242192i
\(545\) 0.110570 + 10.8537i 0.00473629 + 0.464922i
\(546\) 0.0260084 0.00700619i 0.00111306 0.000299837i
\(547\) 22.5925 3.57830i 0.965986 0.152997i 0.346539 0.938035i \(-0.387357\pi\)
0.619447 + 0.785038i \(0.287357\pi\)
\(548\) 2.62034 25.5885i 0.111936 1.09309i
\(549\) 6.87947 + 6.87947i 0.293608 + 0.293608i
\(550\) −16.0368 + 7.56135i −0.683811 + 0.322417i
\(551\) 0.0357229i 0.00152185i
\(552\) 1.97142 0.00790200i 0.0839090 0.000336331i
\(553\) −0.240669 + 0.331252i −0.0102343 + 0.0140863i
\(554\) 28.7214 + 16.5312i 1.22026 + 0.702343i
\(555\) 1.73717 0.293311i 0.0737388 0.0124504i
\(556\) −0.333625 6.05625i −0.0141488 0.256842i
\(557\) −22.2364 + 22.2364i −0.942188 + 0.942188i −0.998418 0.0562298i \(-0.982092\pi\)
0.0562298 + 0.998418i \(0.482092\pi\)
\(558\) −24.4210 1.24713i −1.03382 0.0527953i
\(559\) 0.131589 + 0.404990i 0.00556563 + 0.0171293i
\(560\) 7.05081 + 2.58164i 0.297951 + 0.109094i
\(561\) 0.151370 0.465869i 0.00639084 0.0196690i
\(562\) −11.7269 + 30.6721i −0.494671 + 1.29383i
\(563\) −0.403748 0.205720i −0.0170159 0.00867005i 0.445462 0.895301i \(-0.353039\pi\)
−0.462478 + 0.886631i \(0.653039\pi\)
\(564\) 2.39459 1.94972i 0.100831 0.0820981i
\(565\) −19.0368 + 19.4287i −0.800885 + 0.817370i
\(566\) −7.52875 16.8492i −0.316457 0.708226i
\(567\) 4.29410 + 5.91032i 0.180335 + 0.248210i
\(568\) −19.6192 + 38.8894i −0.823202 + 1.63176i
\(569\) −11.4397 15.7454i −0.479578 0.660083i 0.498846 0.866691i \(-0.333758\pi\)
−0.978424 + 0.206608i \(0.933758\pi\)
\(570\) 0.796537 + 0.447723i 0.0333633 + 0.0187531i
\(571\) 4.49915 + 28.4065i 0.188283 + 1.18877i 0.882958 + 0.469451i \(0.155548\pi\)
−0.694675 + 0.719324i \(0.744452\pi\)
\(572\) −0.252506 + 0.571240i −0.0105578 + 0.0238847i
\(573\) −0.947501 1.85957i −0.0395824 0.0776848i
\(574\) 2.41450 2.98982i 0.100779 0.124793i
\(575\) −15.2447 + 11.5577i −0.635749 + 0.481988i
\(576\) −19.0892 + 14.1043i −0.795382 + 0.587678i
\(577\) −3.40354 + 10.4750i −0.141691 + 0.436081i −0.996571 0.0827459i \(-0.973631\pi\)
0.854879 + 0.518827i \(0.173631\pi\)
\(578\) −21.6437 + 5.83041i −0.900258 + 0.242513i
\(579\) −2.78398 + 0.440939i −0.115698 + 0.0183248i
\(580\) 0.0982413 0.0222059i 0.00407925 0.000922050i
\(581\) −11.2903 1.78821i −0.468401 0.0741875i
\(582\) −0.227132 2.13359i −0.00941492 0.0884401i
\(583\) −7.65851 10.5410i −0.317183 0.436565i
\(584\) −35.2997 5.44597i −1.46071 0.225356i
\(585\) −0.263307 0.783140i −0.0108864 0.0323789i
\(586\) 1.61466 7.64658i 0.0667008 0.315877i
\(587\) 4.33368 8.50532i 0.178870 0.351052i −0.784111 0.620620i \(-0.786881\pi\)
0.962981 + 0.269568i \(0.0868809\pi\)
\(588\) 0.587710 2.21704i 0.0242367 0.0914293i
\(589\) 4.19679 + 8.23666i 0.172926 + 0.339386i
\(590\) 7.27226 + 10.9207i 0.299394 + 0.449598i
\(591\) −0.0853474 0.262672i −0.00351072 0.0108049i
\(592\) 16.6863 4.56679i 0.685802 0.187694i
\(593\) −26.7515 −1.09855 −0.549276 0.835641i \(-0.685096\pi\)
−0.549276 + 0.835641i \(0.685096\pi\)
\(594\) 3.84939 + 0.196581i 0.157943 + 0.00806583i
\(595\) 0.895587 1.80286i 0.0367155 0.0739100i
\(596\) 32.0571 12.4040i 1.31311 0.508086i
\(597\) 0.398692 + 2.51724i 0.0163174 + 0.103024i
\(598\) −0.139231 + 0.659359i −0.00569356 + 0.0269632i
\(599\) 14.5744i 0.595494i 0.954645 + 0.297747i \(0.0962353\pi\)
−0.954645 + 0.297747i \(0.903765\pi\)
\(600\) −0.736141 + 2.46886i −0.0300528 + 0.100791i
\(601\) 19.3391i 0.788858i 0.918927 + 0.394429i \(0.129058\pi\)
−0.918927 + 0.394429i \(0.870942\pi\)
\(602\) −3.97167 0.838660i −0.161873 0.0341812i
\(603\) 2.70994 + 17.1099i 0.110357 + 0.696769i
\(604\) 29.9431 + 13.2358i 1.21837 + 0.538555i
\(605\) −10.4250 1.54247i −0.423836 0.0627102i
\(606\) −0.230784 + 4.51915i −0.00937498 + 0.183578i
\(607\) −40.1209 −1.62846 −0.814229 0.580543i \(-0.802840\pi\)
−0.814229 + 0.580543i \(0.802840\pi\)
\(608\) 8.22115 + 3.59468i 0.333412 + 0.145783i
\(609\) 0.00106432 + 0.00327564i 4.31284e−5 + 0.000132736i
\(610\) 10.3614 + 0.423361i 0.419520 + 0.0171414i
\(611\) 0.479216 + 0.940515i 0.0193870 + 0.0380492i
\(612\) 3.19633 + 5.50219i 0.129204 + 0.222413i
\(613\) −12.5737 + 24.6772i −0.507845 + 0.996702i 0.484684 + 0.874690i \(0.338935\pi\)
−0.992529 + 0.122012i \(0.961065\pi\)
\(614\) 5.02019 + 1.06007i 0.202598 + 0.0427808i
\(615\) 1.07460 + 0.764136i 0.0433319 + 0.0308129i
\(616\) −3.51873 4.80252i −0.141774 0.193499i
\(617\) −20.3678 28.0338i −0.819976 1.12860i −0.989707 0.143109i \(-0.954290\pi\)
0.169731 0.985490i \(-0.445710\pi\)
\(618\) −2.30263 + 0.245127i −0.0926252 + 0.00986044i
\(619\) 0.895857 + 0.141890i 0.0360075 + 0.00570303i 0.174412 0.984673i \(-0.444197\pi\)
−0.138405 + 0.990376i \(0.544197\pi\)
\(620\) −20.0428 + 16.6616i −0.804938 + 0.669146i
\(621\) 4.10770 0.650596i 0.164836 0.0261075i
\(622\) 2.53161 + 9.39785i 0.101508 + 0.376819i
\(623\) 2.15290 6.62595i 0.0862541 0.265463i
\(624\) 0.0373548 + 0.0827079i 0.00149539 + 0.00331097i
\(625\) −8.68758 23.4420i −0.347503 0.937679i
\(626\) 37.1765 + 30.0228i 1.48587 + 1.19995i
\(627\) −0.328923 0.645548i −0.0131359 0.0257807i
\(628\) −9.26442 23.9432i −0.369690 0.955438i
\(629\) −0.725560 4.58101i −0.0289300 0.182657i
\(630\) 7.72221 + 1.54863i 0.307660 + 0.0616987i
\(631\) 8.51416 + 11.7187i 0.338943 + 0.466515i 0.944132 0.329566i \(-0.106903\pi\)
−0.605189 + 0.796082i \(0.706903\pi\)
\(632\) −1.23168 0.621365i −0.0489935 0.0247166i
\(633\) −1.45453 2.00199i −0.0578125 0.0795721i
\(634\) −25.1066 + 11.2184i −0.997112 + 0.445540i
\(635\) 0.959792 0.162055i 0.0380882 0.00643097i
\(636\) −1.88341 0.192867i −0.0746820 0.00764768i
\(637\) 0.698579 + 0.355944i 0.0276787 + 0.0141030i
\(638\) −0.0745954 0.0285202i −0.00295326 0.00112912i
\(639\) −14.1187 + 43.4529i −0.558528 + 1.71897i
\(640\) −4.77531 + 24.8434i −0.188761 + 0.982023i
\(641\) −6.17254 18.9971i −0.243801 0.750342i −0.995831 0.0912136i \(-0.970925\pi\)
0.752031 0.659128i \(-0.229075\pi\)
\(642\) −0.0111733 + 0.218791i −0.000440974 + 0.00863501i
\(643\) 6.55512 6.55512i 0.258509 0.258509i −0.565939 0.824447i \(-0.691486\pi\)
0.824447 + 0.565939i \(0.191486\pi\)
\(644\) −4.78540 4.28569i −0.188571 0.168880i
\(645\) 0.203853 1.37777i 0.00802671 0.0542497i
\(646\) 1.20000 2.08489i 0.0472135 0.0820291i
\(647\) 14.6143 20.1148i 0.574546 0.790795i −0.418538 0.908199i \(-0.637457\pi\)
0.993084 + 0.117404i \(0.0374572\pi\)
\(648\) −17.3350 + 17.4745i −0.680981 + 0.686462i
\(649\) 10.4034i 0.408368i
\(650\) −0.772048 0.423667i −0.0302822 0.0166176i
\(651\) −0.630229 0.630229i −0.0247006 0.0247006i
\(652\) 6.73253 5.48175i 0.263666 0.214682i
\(653\) −10.3387 + 1.63749i −0.404584 + 0.0640798i −0.355410 0.934710i \(-0.615659\pi\)
−0.0491739 + 0.998790i \(0.515659\pi\)
\(654\) −0.325285 1.20752i −0.0127196 0.0472179i
\(655\) 5.90816 1.98644i 0.230851 0.0776167i
\(656\) 11.2478 + 6.41402i 0.439153 + 0.250425i
\(657\) −37.4648 −1.46164
\(658\) −10.0491 0.513188i −0.391754 0.0200062i
\(659\) −16.9195 8.62091i −0.659089 0.335823i 0.0922528 0.995736i \(-0.470593\pi\)
−0.751342 + 0.659913i \(0.770593\pi\)
\(660\) 1.57085 1.30585i 0.0611454 0.0508302i
\(661\) −21.3178 + 10.8620i −0.829166 + 0.422481i −0.816435 0.577438i \(-0.804053\pi\)
−0.0127314 + 0.999919i \(0.504053\pi\)
\(662\) −13.5571 30.3406i −0.526912 1.17922i
\(663\) 0.0231399 0.00751860i 0.000898678 0.000291998i
\(664\) −0.154374 38.5137i −0.00599086 1.49462i
\(665\) −0.948883 2.82221i −0.0367961 0.109441i
\(666\) 16.5676 7.40293i 0.641983 0.286858i
\(667\) −0.0851097 0.0134800i −0.00329546 0.000521949i
\(668\) 36.1742 7.79015i 1.39962 0.301410i
\(669\) −0.624305 + 3.94170i −0.0241370 + 0.152395i
\(670\) 14.4825 + 11.4540i 0.559510 + 0.442505i
\(671\) −6.65212 4.83305i −0.256802 0.186578i
\(672\) −0.860944 0.0846778i −0.0332116 0.00326652i
\(673\) −0.669587 + 2.06078i −0.0258107 + 0.0794371i −0.963132 0.269029i \(-0.913297\pi\)
0.937321 + 0.348466i \(0.113297\pi\)
\(674\) −3.06693 + 3.79771i −0.118134 + 0.146282i
\(675\) −0.740667 + 5.38417i −0.0285083 + 0.207237i
\(676\) 25.3870 5.46711i 0.976422 0.210274i
\(677\) 16.3218 8.31640i 0.627300 0.319625i −0.111282 0.993789i \(-0.535496\pi\)
0.738582 + 0.674164i \(0.235496\pi\)
\(678\) 1.56332 2.71613i 0.0600391 0.104312i
\(679\) −4.10958 + 5.65635i −0.157711 + 0.217071i
\(680\) 6.47960 + 2.00412i 0.248481 + 0.0768545i
\(681\) 3.15814 + 4.34680i 0.121020 + 0.166570i
\(682\) 20.5501 2.18767i 0.786905 0.0837702i
\(683\) −39.1145 6.19512i −1.49667 0.237050i −0.646240 0.763134i \(-0.723660\pi\)
−0.850433 + 0.526084i \(0.823660\pi\)
\(684\) 9.09747 + 2.41162i 0.347850 + 0.0922107i
\(685\) −20.5413 20.1270i −0.784844 0.769015i
\(686\) −13.2263 + 8.61442i −0.504983 + 0.328900i
\(687\) 0.744750 + 2.29210i 0.0284140 + 0.0874492i
\(688\) 0.642775 13.6615i 0.0245056 0.520839i
\(689\) 0.199989 0.615502i 0.00761896 0.0234487i
\(690\) 1.36727 1.72880i 0.0520512 0.0658142i
\(691\) 8.11243 + 4.13349i 0.308612 + 0.157245i 0.601436 0.798921i \(-0.294595\pi\)
−0.292825 + 0.956166i \(0.594595\pi\)
\(692\) −30.4802 + 1.67909i −1.15869 + 0.0638293i
\(693\) −4.41582 4.41582i −0.167743 0.167743i
\(694\) −28.4020 + 25.6421i −1.07813 + 0.973361i
\(695\) −5.52655 3.92989i −0.209634 0.149069i
\(696\) −0.0103184 + 0.00530968i −0.000391117 + 0.000201263i
\(697\) 2.04042 2.80840i 0.0772866 0.106376i
\(698\) 46.3870 + 9.79511i 1.75578 + 0.370750i
\(699\) −1.52185 1.52185i −0.0575618 0.0575618i
\(700\) 7.17150 4.36384i 0.271057 0.164938i
\(701\) −19.7916 + 19.7916i −0.747517 + 0.747517i −0.974012 0.226495i \(-0.927273\pi\)
0.226495 + 0.974012i \(0.427273\pi\)
\(702\) 0.104486 + 0.160424i 0.00394355 + 0.00605481i
\(703\) −5.54995 4.03227i −0.209320 0.152080i
\(704\) 14.0698 14.2972i 0.530276 0.538847i
\(705\) −0.0351692 3.45226i −0.00132455 0.130020i
\(706\) 1.63818 32.0784i 0.0616538 1.20729i
\(707\) 10.4263 10.4263i 0.392120 0.392120i
\(708\) −1.12609 1.00850i −0.0423211 0.0379018i
\(709\) −1.93763 + 3.80282i −0.0727694 + 0.142818i −0.924525 0.381121i \(-0.875538\pi\)
0.851756 + 0.523939i \(0.175538\pi\)
\(710\) 20.3191 + 44.2578i 0.762562 + 1.66097i
\(711\) −1.37621 0.447158i −0.0516120 0.0167697i
\(712\) 23.1988 + 3.57907i 0.869412 + 0.134131i
\(713\) 21.2075 6.89072i 0.794226 0.258060i
\(714\) −0.0479184 + 0.226929i −0.00179330 + 0.00849259i
\(715\) 0.323333 + 0.618909i 0.0120920 + 0.0231459i
\(716\) 11.6282 43.8655i 0.434565 1.63933i
\(717\) 0.564630 3.56494i 0.0210865 0.133135i
\(718\) −4.97812 4.02020i −0.185782 0.150033i
\(719\) 21.1143 15.3404i 0.787430 0.572101i −0.119770 0.992802i \(-0.538216\pi\)
0.907200 + 0.420700i \(0.138216\pi\)
\(720\) −0.977062 + 26.5180i −0.0364130 + 0.988267i
\(721\) 6.10449 + 4.43517i 0.227343 + 0.165174i
\(722\) 6.06368 + 22.5096i 0.225667 + 0.837721i
\(723\) 0.154721 + 0.303658i 0.00575415 + 0.0112932i
\(724\) 3.96466 6.14090i 0.147345 0.228225i
\(725\) 0.0490683 0.101355i 0.00182235 0.00376424i
\(726\) 1.20736 0.128530i 0.0448095 0.00477021i
\(727\) 22.9210 + 7.44750i 0.850094 + 0.276212i 0.701485 0.712684i \(-0.252521\pi\)
0.148609 + 0.988896i \(0.452521\pi\)
\(728\) 0.0902540 0.281609i 0.00334504 0.0104371i
\(729\) −14.8266 + 20.4070i −0.549132 + 0.755815i
\(730\) −29.3663 + 27.0607i −1.08689 + 1.00156i
\(731\) −3.62155 0.573597i −0.133948 0.0212153i
\(732\) −1.16800 + 0.251530i −0.0431705 + 0.00929681i
\(733\) 6.48474 40.9430i 0.239519 1.51227i −0.515686 0.856778i \(-0.672463\pi\)
0.755206 0.655488i \(-0.227537\pi\)
\(734\) −5.51079 2.10695i −0.203407 0.0777690i
\(735\) −1.52834 2.05914i −0.0563736 0.0759523i
\(736\) 11.6666 18.2304i 0.430035 0.671981i
\(737\) −4.52421 13.9241i −0.166652 0.512901i
\(738\) 12.6860 + 4.85026i 0.466978 + 0.178540i
\(739\) 12.9901 + 25.4945i 0.477848 + 0.937829i 0.996560 + 0.0828799i \(0.0264118\pi\)
−0.518712 + 0.854949i \(0.673588\pi\)
\(740\) 7.63920 17.7694i 0.280823 0.653216i
\(741\) 0.0163377 0.0320646i 0.000600181 0.00117792i
\(742\) 4.13414 + 4.57911i 0.151769 + 0.168104i
\(743\) 25.1973i 0.924398i −0.886776 0.462199i \(-0.847061\pi\)
0.886776 0.462199i \(-0.152939\pi\)
\(744\) 1.75533 2.43648i 0.0643534 0.0893256i
\(745\) 11.5027 36.6686i 0.421427 1.34343i
\(746\) −7.62721 4.38999i −0.279252 0.160729i
\(747\) −6.31969 39.9010i −0.231226 1.45990i
\(748\) −3.39556 4.17033i −0.124154 0.152482i
\(749\) 0.504780 0.504780i 0.0184442 0.0184442i
\(750\) 1.64500 + 2.36442i 0.0600669 + 0.0863363i
\(751\) 18.7926 0.685752 0.342876 0.939381i \(-0.388599\pi\)
0.342876 + 0.939381i \(0.388599\pi\)
\(752\) −3.72386 33.6968i −0.135795 1.22880i
\(753\) 1.42958 + 1.03865i 0.0520967 + 0.0378505i
\(754\) −0.00103179 0.00383021i −3.75755e−5 0.000139488i
\(755\) 32.4418 16.9484i 1.18068 0.616815i
\(756\) −1.82224 + 0.100383i −0.0662741 + 0.00365089i
\(757\) 29.1500 + 29.1500i 1.05947 + 1.05947i 0.998116 + 0.0613575i \(0.0195430\pi\)
0.0613575 + 0.998116i \(0.480457\pi\)
\(758\) 1.18715 1.07179i 0.0431192 0.0389292i
\(759\) −1.66213 + 0.540060i −0.0603317 + 0.0196029i
\(760\) 8.87282 4.68074i 0.321851 0.169788i
\(761\) −9.28696 3.01752i −0.336652 0.109385i 0.135813 0.990735i \(-0.456636\pi\)
−0.472464 + 0.881350i \(0.656636\pi\)
\(762\) −0.102390 + 0.0457512i −0.00370921 + 0.00165739i
\(763\) −1.85002 + 3.63086i −0.0669751 + 0.131446i
\(764\) −22.7940 2.33418i −0.824657 0.0844476i
\(765\) 7.03768 + 1.04128i 0.254448 + 0.0376477i
\(766\) 6.09203 + 2.32918i 0.220114 + 0.0841566i
\(767\) 0.418050 0.303731i 0.0150949 0.0109671i
\(768\) −0.183647 2.90893i −0.00662680 0.104967i
\(769\) −23.4583 + 17.0435i −0.845929 + 0.614603i −0.924020 0.382343i \(-0.875117\pi\)
0.0780918 + 0.996946i \(0.475117\pi\)
\(770\) −6.65080 0.271749i −0.239678 0.00979315i
\(771\) 3.54371 0.561268i 0.127624 0.0202136i
\(772\) −12.5111 + 28.3037i −0.450285 + 1.01867i
\(773\) −38.6892 + 19.7131i −1.39155 + 0.709032i −0.979371 0.202070i \(-0.935233\pi\)
−0.412182 + 0.911102i \(0.635233\pi\)
\(774\) −1.51860 14.2651i −0.0545849 0.512750i
\(775\) 0.593658 + 29.1342i 0.0213248 + 1.04653i
\(776\) −21.0317 10.6102i −0.754994 0.380884i
\(777\) 0.629044 + 0.204389i 0.0225668 + 0.00733240i
\(778\) 39.3362 + 22.6408i 1.41027 + 0.811710i
\(779\) −0.803202 5.07122i −0.0287777 0.181695i
\(780\) 0.0983364 + 0.0249984i 0.00352101 + 0.000895088i
\(781\) 6.04057 38.1387i 0.216149 1.36471i
\(782\) −4.51443 3.64574i −0.161436 0.130371i
\(783\) −0.0198051 + 0.0143892i −0.000707776 + 0.000514230i
\(784\) −16.9492 18.6229i −0.605328 0.665102i
\(785\) −27.3875 8.59128i −0.977500 0.306636i
\(786\) −0.601769 + 0.391937i −0.0214644 + 0.0139799i
\(787\) 8.40403 + 4.28207i 0.299571 + 0.152639i 0.597315 0.802007i \(-0.296234\pi\)
−0.297744 + 0.954646i \(0.596234\pi\)
\(788\) −2.93099 0.776967i −0.104412 0.0276783i
\(789\) 3.19087 1.62583i 0.113598 0.0578811i
\(790\) −1.40170 + 0.643532i −0.0498703 + 0.0228959i
\(791\) −9.71210 + 3.15565i −0.345322 + 0.112202i
\(792\) 12.2990 17.0717i 0.437027 0.606615i
\(793\) 0.408413i 0.0145032i
\(794\) 0.348473 + 0.385981i 0.0123669 + 0.0136979i
\(795\) −1.48143 + 1.51192i −0.0525408 + 0.0536223i
\(796\) 25.5919 + 11.3124i 0.907081 + 0.400958i
\(797\) 40.9597 6.48737i 1.45087 0.229795i 0.619271 0.785177i \(-0.287428\pi\)
0.831595 + 0.555383i \(0.187428\pi\)
\(798\) 0.187220 + 0.287453i 0.00662753 + 0.0101757i
\(799\) −9.08911 −0.321549
\(800\) 18.3880 + 21.4915i 0.650113 + 0.759838i
\(801\) 24.6217 0.869967
\(802\) −19.6212 30.1258i −0.692848 1.06378i
\(803\) 31.2735 4.95324i 1.10362 0.174796i
\(804\) −1.94576 0.860086i −0.0686217 0.0303329i
\(805\) −7.08196 + 1.19575i −0.249606 + 0.0421446i
\(806\) 0.687881 + 0.761919i 0.0242296 + 0.0268375i
\(807\) 3.21042i 0.113012i
\(808\) 40.3081 + 29.0394i 1.41803 + 1.02160i
\(809\) −16.7707 + 5.44914i −0.589627 + 0.191582i −0.588609 0.808418i \(-0.700324\pi\)
−0.00101850 + 0.999999i \(0.500324\pi\)
\(810\) 3.19174 + 27.3338i 0.112146 + 0.960411i
\(811\) −41.1178 + 20.9506i −1.44384 + 0.735674i −0.988010 0.154393i \(-0.950658\pi\)
−0.455831 + 0.890066i \(0.650658\pi\)
\(812\) 0.0365507 + 0.00968912i 0.00128268 + 0.000340022i
\(813\) −3.64339 1.85640i −0.127779 0.0651067i
\(814\) −12.8510 + 8.36996i −0.450427 + 0.293367i
\(815\) −0.0988801 9.70623i −0.00346362 0.339994i
\(816\) −0.780573 0.0367261i −0.0273255 0.00128567i
\(817\) −4.38756 + 3.18775i −0.153501 + 0.111525i
\(818\) −0.289805 0.234039i −0.0101328 0.00818300i
\(819\) 0.0485240 0.306368i 0.00169556 0.0107054i
\(820\) 13.4470 5.36123i 0.469591 0.187222i
\(821\) −0.0766892 0.484196i −0.00267647 0.0168986i 0.986314 0.164878i \(-0.0527230\pi\)
−0.988990 + 0.147979i \(0.952723\pi\)
\(822\) 2.87168 + 1.65286i 0.100162 + 0.0576500i
\(823\) 11.0182 + 3.58004i 0.384072 + 0.124792i 0.494688 0.869071i \(-0.335282\pi\)
−0.110616 + 0.993863i \(0.535282\pi\)
\(824\) −11.4508 + 22.6980i −0.398908 + 0.790721i
\(825\) −0.0465280 2.28339i −0.00161990 0.0794975i
\(826\) 0.521433 + 4.89814i 0.0181430 + 0.170428i
\(827\) 38.5520 19.6432i 1.34058 0.683061i 0.371186 0.928558i \(-0.378951\pi\)
0.969397 + 0.245497i \(0.0789511\pi\)
\(828\) 9.17861 20.7647i 0.318979 0.721622i
\(829\) −34.2993 + 5.43247i −1.19126 + 0.188677i −0.720419 0.693539i \(-0.756050\pi\)
−0.470844 + 0.882217i \(0.656050\pi\)
\(830\) −33.7739 26.7111i −1.17231 0.927156i
\(831\) −3.45351 + 2.50912i −0.119801 + 0.0870404i
\(832\) 0.985298 + 0.147969i 0.0341591 + 0.00512991i
\(833\) −5.46171 + 3.96816i −0.189237 + 0.137489i
\(834\) 0.729790 + 0.279022i 0.0252706 + 0.00966174i
\(835\) 18.4056 37.0514i 0.636954 1.28222i
\(836\) −7.91289 0.810306i −0.273673 0.0280250i
\(837\) 2.87600 5.64448i 0.0994092 0.195102i
\(838\) 44.1176 19.7131i 1.52402 0.680978i
\(839\) 21.7791 + 7.07647i 0.751900 + 0.244307i 0.659798 0.751443i \(-0.270642\pi\)
0.0921012 + 0.995750i \(0.470642\pi\)
\(840\) −0.674143 + 0.693559i −0.0232601 + 0.0239301i
\(841\) −27.5802 + 8.96134i −0.951040 + 0.309012i
\(842\) −5.13222 + 4.63351i −0.176868 + 0.159681i
\(843\) −2.99100 2.99100i −0.103016 0.103016i
\(844\) −27.1269 + 1.49436i −0.933746 + 0.0514379i
\(845\) 12.9170 26.0026i 0.444360 0.894516i
\(846\) −9.24966 34.3366i −0.318010 1.18052i
\(847\) −3.20084 2.32555i −0.109982 0.0799067i
\(848\) −12.9943 + 16.2231i −0.446225 + 0.557104i
\(849\) 2.37723 0.0815863
\(850\) 6.26850 4.26709i 0.215008 0.146360i
\(851\) −11.7012 + 11.7012i −0.401110 + 0.401110i
\(852\) −3.54267 4.35101i −0.121370 0.149063i
\(853\) −0.697492 4.40379i −0.0238817 0.150783i 0.972866 0.231370i \(-0.0743206\pi\)
−0.996748 + 0.0805866i \(0.974321\pi\)
\(854\) 3.37421 + 1.94210i 0.115463 + 0.0664572i
\(855\) 8.44951 6.27142i 0.288967 0.214478i
\(856\) 1.95149 + 1.40592i 0.0667005 + 0.0480534i
\(857\) 20.2758i 0.692608i −0.938122 0.346304i \(-0.887437\pi\)
0.938122 0.346304i \(-0.112563\pi\)
\(858\) −0.0539126 0.0597154i −0.00184055 0.00203865i
\(859\) 23.7653 46.6420i 0.810861 1.59140i 0.00449265 0.999990i \(-0.498570\pi\)
0.806368 0.591414i \(-0.201430\pi\)
\(860\) −11.4940 10.0846i −0.391941 0.343883i
\(861\) 0.224741 + 0.441079i 0.00765915 + 0.0150319i
\(862\) 53.3638 + 20.4027i 1.81758 + 0.694918i
\(863\) −9.43312 29.0322i −0.321107 0.988266i −0.973167 0.230099i \(-0.926095\pi\)
0.652060 0.758167i \(-0.273905\pi\)
\(864\) −1.31857 6.00582i −0.0448587 0.204322i
\(865\) −19.7786 + 27.8144i −0.672492 + 0.945717i
\(866\) 30.0088 + 11.4733i 1.01974 + 0.389879i
\(867\) 0.451687 2.85184i 0.0153401 0.0968536i
\(868\) −9.56582 + 2.06001i −0.324685 + 0.0699213i
\(869\) 1.20790 + 0.191313i 0.0409753 + 0.00648984i
\(870\) −0.00255105 + 0.0127208i −8.64888e−5 + 0.000431276i
\(871\) 0.427441 0.588323i 0.0144833 0.0199345i
\(872\) −13.0746 4.19033i −0.442762 0.141903i
\(873\) −23.4997 7.63552i −0.795344 0.258423i
\(874\) −8.53443 + 0.908535i −0.288681 + 0.0307317i
\(875\) 1.18431 9.31071i 0.0400369 0.314759i
\(876\) 2.49550 3.86530i 0.0843151 0.130596i
\(877\) 1.13710 + 2.23169i 0.0383973 + 0.0753589i 0.909408 0.415905i \(-0.136535\pi\)
−0.871011 + 0.491264i \(0.836535\pi\)
\(878\) 12.1730 + 45.1888i 0.410820 + 1.52505i
\(879\) 0.814442 + 0.591726i 0.0274704 + 0.0199584i
\(880\) −2.69036 22.2649i −0.0906919 0.750549i
\(881\) −12.3809 + 8.99527i −0.417124 + 0.303058i −0.776480 0.630142i \(-0.782996\pi\)
0.359356 + 0.933201i \(0.382996\pi\)
\(882\) −20.5490 16.5949i −0.691922 0.558778i
\(883\) −6.07724 + 38.3702i −0.204516 + 1.29126i 0.645198 + 0.764016i \(0.276775\pi\)
−0.849713 + 0.527245i \(0.823225\pi\)
\(884\) 0.0684462 0.258202i 0.00230209 0.00868429i
\(885\) −1.66651 + 0.281381i −0.0560192 + 0.00945852i
\(886\) −2.78656 + 13.1964i −0.0936162 + 0.443341i
\(887\) 3.98003 1.29319i 0.133636 0.0434211i −0.241435 0.970417i \(-0.577618\pi\)
0.375072 + 0.926996i \(0.377618\pi\)
\(888\) −0.339784 + 2.20241i −0.0114024 + 0.0739081i
\(889\) 0.347548 + 0.112925i 0.0116564 + 0.00378739i
\(890\) 19.2994 17.7842i 0.646917 0.596127i
\(891\) 9.90628 19.4422i 0.331873 0.651337i
\(892\) 32.6387 + 29.2304i 1.09282 + 0.978708i
\(893\) −9.50597 + 9.50597i −0.318105 + 0.318105i
\(894\) −0.225822 + 4.42198i −0.00755263 + 0.147893i
\(895\) −30.2390 40.7411i −1.01078 1.36183i
\(896\) −5.90780 + 7.43667i −0.197366 + 0.248442i
\(897\) −0.0702287 0.0510241i −0.00234487 0.00170365i
\(898\) 24.2441 + 37.2237i 0.809037 + 1.24217i
\(899\) −0.0928127 + 0.0928127i −0.00309548 + 0.00309548i
\(900\) 22.4993 + 19.3385i 0.749978 + 0.644617i
\(901\) 3.94044 + 3.94044i 0.131275 + 0.131275i
\(902\) −11.2308 2.37150i −0.373945 0.0789624i
\(903\) 0.307345 0.423025i 0.0102278 0.0140774i
\(904\) −15.7429 30.5934i −0.523601 1.01752i
\(905\) −2.60442 7.74618i −0.0865739 0.257492i
\(906\) −3.13014 + 2.82597i −0.103992 + 0.0938867i
\(907\) −22.2919 22.2919i −0.740192 0.740192i 0.232423 0.972615i \(-0.425335\pi\)
−0.972615 + 0.232423i \(0.925335\pi\)
\(908\) 58.8989 3.24460i 1.95463 0.107676i
\(909\) 46.4303 + 23.6574i 1.54000 + 0.784667i
\(910\) −0.183253 0.275191i −0.00607479 0.00912248i
\(911\) 6.02760 18.5511i 0.199703 0.614624i −0.800186 0.599752i \(-0.795266\pi\)
0.999889 0.0148719i \(-0.00473405\pi\)
\(912\) −0.854785 + 0.777964i −0.0283047 + 0.0257609i
\(913\) 10.5506 + 32.4715i 0.349175 + 1.07465i
\(914\) −1.62306 + 1.05711i −0.0536861 + 0.0349662i
\(915\) −0.594285 + 1.19632i −0.0196465 + 0.0395492i
\(916\) 25.5761 + 6.77989i 0.845057 + 0.224014i
\(917\) 2.31130 + 0.366074i 0.0763259 + 0.0120888i
\(918\) −1.63925 + 0.174506i −0.0541032 + 0.00575957i
\(919\) 12.4268 + 17.1041i 0.409923 + 0.564211i 0.963200 0.268787i \(-0.0866227\pi\)
−0.553277 + 0.832998i \(0.686623\pi\)
\(920\) −7.80369 22.9057i −0.257280 0.755179i
\(921\) −0.388484 + 0.534703i −0.0128010 + 0.0176191i
\(922\) 2.27238 3.94806i 0.0748370 0.130022i
\(923\) 1.70893 0.870742i 0.0562501 0.0286608i
\(924\) 0.749721 0.161453i 0.0246640 0.00531142i
\(925\) −10.2080 19.0639i −0.335637 0.626818i
\(926\) 33.7933 41.8455i 1.11052 1.37513i
\(927\) −8.24045 + 25.3615i −0.270652 + 0.832981i
\(928\) −0.0124704 + 0.126790i −0.000409359 + 0.00416208i
\(929\) −37.9517 27.5735i −1.24515 0.904657i −0.247223 0.968959i \(-0.579518\pi\)
−0.997930 + 0.0643018i \(0.979518\pi\)
\(930\) −0.906264 3.23275i −0.0297176 0.106006i
\(931\) −1.56205 + 9.86237i −0.0511940 + 0.323226i
\(932\) −23.0992 + 4.97443i −0.756639 + 0.162943i
\(933\) −1.23829 0.196126i −0.0405398 0.00642087i
\(934\) 37.9411 16.9532i 1.24147 0.554727i
\(935\) −6.01233 + 0.0612493i −0.196624 + 0.00200307i
\(936\) 1.04509 0.00418901i 0.0341597 0.000136922i
\(937\) 17.9377 5.82833i 0.586001 0.190403i −0.000986402 1.00000i \(-0.500314\pi\)
0.586987 + 0.809596i \(0.300314\pi\)
\(938\) 2.82800 + 6.32902i 0.0923375 + 0.206650i
\(939\) −5.48454 + 2.79451i −0.178981 + 0.0911954i
\(940\) −32.0514 20.2333i −1.04540 0.659936i
\(941\) 17.4493 + 8.89085i 0.568830 + 0.289833i 0.714655 0.699477i \(-0.246584\pi\)
−0.145825 + 0.989310i \(0.546584\pi\)
\(942\) 3.30274 + 0.168665i 0.107609 + 0.00549539i
\(943\) −12.3852 −0.403319
\(944\) −16.0076 + 4.38104i −0.521002 + 0.142591i
\(945\) −1.18245 + 1.66286i −0.0384650 + 0.0540928i
\(946\) 3.15364 + 11.7070i 0.102534 + 0.380626i
\(947\) 45.9505 7.27784i 1.49319 0.236498i 0.644180 0.764874i \(-0.277199\pi\)
0.849010 + 0.528376i \(0.177199\pi\)
\(948\) 0.137802 0.112201i 0.00447560 0.00364412i
\(949\) 1.11209 + 1.11209i 0.0360999 + 0.0360999i
\(950\) 2.09320 11.0188i 0.0679124 0.357497i
\(951\) 3.54225i 0.114865i
\(952\) 1.80773 + 1.79330i 0.0585889 + 0.0581211i
\(953\) −10.8412 + 14.9217i −0.351182 + 0.483361i −0.947666 0.319264i \(-0.896564\pi\)
0.596483 + 0.802625i \(0.296564\pi\)
\(954\) −10.8761 + 18.8961i −0.352125 + 0.611785i
\(955\) −17.9290 + 18.2981i −0.580169 + 0.592111i
\(956\) −29.5189 26.4364i −0.954709 0.855016i
\(957\) 0.00727420 0.00727420i 0.000235141 0.000235141i
\(958\) −0.982412 + 19.2373i −0.0317403 + 0.621528i
\(959\) −3.33638 10.2683i −0.107737 0.331581i
\(960\) −2.67082 1.86714i −0.0862003 0.0602618i
\(961\) 0.916587 2.82096i 0.0295673 0.0909989i
\(962\) −0.711531 0.272041i −0.0229407 0.00877095i
\(963\) 2.24789 + 1.14536i 0.0724372 + 0.0369086i
\(964\) 3.72213 + 0.381158i 0.119882 + 0.0122763i
\(965\) 16.0205 + 30.6656i 0.515717 + 0.987162i
\(966\) 0.755503 0.337582i 0.0243079 0.0108615i
\(967\) 8.85185 + 12.1835i 0.284656 + 0.391796i 0.927269 0.374395i \(-0.122150\pi\)
−0.642613 + 0.766191i \(0.722150\pi\)
\(968\) 6.00415 11.9015i 0.192981 0.382529i
\(969\) 0.182138 + 0.250691i 0.00585111 + 0.00805336i
\(970\) −23.9350 + 10.9887i −0.768506 + 0.352827i
\(971\) −2.92989 18.4986i −0.0940246 0.593648i −0.989044 0.147621i \(-0.952838\pi\)
0.895019 0.446027i \(-0.147162\pi\)
\(972\) −3.49765 9.03941i −0.112187 0.289939i
\(973\) −1.15582 2.26843i −0.0370540 0.0727226i
\(974\) −23.8244 19.2400i −0.763384 0.616490i
\(975\) 0.0903977 0.0685344i 0.00289504 0.00219486i
\(976\) −4.63525 + 12.2709i −0.148371 + 0.392781i
\(977\) 0.0762329 0.234621i 0.00243891 0.00750619i −0.949830 0.312768i \(-0.898744\pi\)
0.952269 + 0.305261i \(0.0987439\pi\)
\(978\) 0.290895 + 1.07986i 0.00930180 + 0.0345302i
\(979\) −20.5528 + 3.25525i −0.656872 + 0.104038i
\(980\) −28.0934 + 1.83483i −0.897412 + 0.0586114i
\(981\) −14.2241 2.25288i −0.454142 0.0719290i
\(982\) 48.5814 5.17175i 1.55029 0.165037i
\(983\) 16.9324 + 23.3054i 0.540060 + 0.743328i 0.988622 0.150423i \(-0.0480637\pi\)
−0.448562 + 0.893752i \(0.648064\pi\)
\(984\) −1.34541 + 0.985761i −0.0428901 + 0.0314249i
\(985\) −2.72223 + 2.02050i −0.0867374 + 0.0643785i
\(986\) 0.0334194 + 0.00705686i 0.00106429 + 0.000224736i
\(987\) 0.588439 1.15488i 0.0187302 0.0367601i
\(988\) −0.198459 0.341630i −0.00631383 0.0108687i
\(989\) 5.93915 + 11.6562i 0.188854 + 0.370647i
\(990\) −6.34992 22.6509i −0.201814 0.719893i
\(991\) 9.10843 + 28.0329i 0.289339 + 0.890494i 0.985064 + 0.172186i \(0.0550830\pi\)
−0.695726 + 0.718308i \(0.744917\pi\)
\(992\) −12.0202 30.6991i −0.381641 0.974696i
\(993\) 4.28070 0.135844
\(994\) −0.932470 + 18.2593i −0.0295761 + 0.579151i
\(995\) 27.7275 14.4855i 0.879021 0.459222i
\(996\) 4.53759 + 2.00575i 0.143779 + 0.0635548i
\(997\) 0.278750 + 1.75996i 0.00882811 + 0.0557385i 0.991709 0.128503i \(-0.0410172\pi\)
−0.982881 + 0.184241i \(0.941017\pi\)
\(998\) −35.5214 7.50072i −1.12441 0.237431i
\(999\) 4.70115i 0.148738i
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 400.2.be.a.21.41 464
16.13 even 4 inner 400.2.be.a.221.7 yes 464
25.6 even 5 inner 400.2.be.a.181.7 yes 464
400.381 even 20 inner 400.2.be.a.381.41 yes 464
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
400.2.be.a.21.41 464 1.1 even 1 trivial
400.2.be.a.181.7 yes 464 25.6 even 5 inner
400.2.be.a.221.7 yes 464 16.13 even 4 inner
400.2.be.a.381.41 yes 464 400.381 even 20 inner