Properties

Label 690.2.n.b.89.8
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
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] = [690,2,Mod(89,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.89");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.8
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.b.659.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.142315 + 0.989821i) q^{2} +(-0.804725 - 1.53376i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.06421 - 0.859668i) q^{5} +(1.40362 - 1.01481i) q^{6} +(0.955977 - 0.614369i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-1.70483 + 2.46851i) q^{9} +O(q^{10})\) \(q+(0.142315 + 0.989821i) q^{2} +(-0.804725 - 1.53376i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-2.06421 - 0.859668i) q^{5} +(1.40362 - 1.01481i) q^{6} +(0.955977 - 0.614369i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(-1.70483 + 2.46851i) q^{9} +(0.557150 - 2.16554i) q^{10} +(-0.130034 + 0.904408i) q^{11} +(1.20424 + 1.24491i) q^{12} +(-2.47130 + 3.84542i) q^{13} +(0.744166 + 0.858813i) q^{14} +(0.342600 + 3.85780i) q^{15} +(0.841254 - 0.540641i) q^{16} +(1.74601 - 5.94637i) q^{17} +(-2.68601 - 1.33618i) q^{18} +(0.111059 + 0.378232i) q^{19} +(2.22279 + 0.243289i) q^{20} +(-1.71159 - 0.971841i) q^{21} -0.913708 q^{22} +(-1.02121 + 4.68584i) q^{23} +(-1.06086 + 1.36915i) q^{24} +(3.52194 + 3.54907i) q^{25} +(-4.15798 - 1.89889i) q^{26} +(5.15802 + 0.628334i) q^{27} +(-0.744166 + 0.858813i) q^{28} +(-2.85664 + 9.72883i) q^{29} +(-3.76978 + 0.888135i) q^{30} +(3.71757 + 8.14034i) q^{31} +(0.654861 + 0.755750i) q^{32} +(1.49179 - 0.528359i) q^{33} +(6.13433 + 0.881983i) q^{34} +(-2.50149 + 0.446366i) q^{35} +(0.940317 - 2.84882i) q^{36} +(4.47941 + 5.16952i) q^{37} +(-0.358577 + 0.163757i) q^{38} +(7.88666 + 0.695875i) q^{39} +(0.0755234 + 2.23479i) q^{40} +(-7.60595 - 6.59060i) q^{41} +(0.718363 - 1.83248i) q^{42} +(-1.93387 + 4.23459i) q^{43} +(-0.130034 - 0.904408i) q^{44} +(5.64124 - 3.62994i) q^{45} +(-4.78348 - 0.343953i) q^{46} -8.91322 q^{47} +(-1.50619 - 0.855213i) q^{48} +(-2.37146 + 5.19278i) q^{49} +(-3.01172 + 3.99118i) q^{50} +(-10.5254 + 2.10723i) q^{51} +(1.28782 - 4.38590i) q^{52} +(-0.827835 - 1.28814i) q^{53} +(0.112124 + 5.19494i) q^{54} +(1.04591 - 1.75510i) q^{55} +(-0.955977 - 0.614369i) q^{56} +(0.490745 - 0.474711i) q^{57} +(-10.0363 - 1.44301i) q^{58} +(-2.84841 + 4.43222i) q^{59} +(-1.41559 - 3.60501i) q^{60} +(6.70797 - 3.06343i) q^{61} +(-7.52841 + 4.83822i) q^{62} +(-0.113207 + 3.40724i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(8.40707 - 5.81326i) q^{65} +(0.735284 + 1.40141i) q^{66} +(-0.882061 - 6.13487i) q^{67} +6.19741i q^{68} +(8.00875 - 2.20452i) q^{69} +(-0.797822 - 2.41251i) q^{70} +(9.58910 - 1.37871i) q^{71} +(2.95365 + 0.525316i) q^{72} +(-1.47294 - 5.01637i) q^{73} +(-4.47941 + 5.16952i) q^{74} +(2.60923 - 8.25784i) q^{75} +(-0.213121 - 0.331622i) q^{76} +(0.431331 + 0.944482i) q^{77} +(0.433598 + 7.90542i) q^{78} +(1.62557 - 2.52943i) q^{79} +(-2.20130 + 0.392799i) q^{80} +(-3.18708 - 8.41680i) q^{81} +(5.44107 - 8.46648i) q^{82} +(-7.96766 + 6.90401i) q^{83} +(1.91606 + 0.450263i) q^{84} +(-8.71604 + 10.7736i) q^{85} +(-4.46670 - 1.31154i) q^{86} +(17.2205 - 3.44763i) q^{87} +(0.876696 - 0.257421i) q^{88} +(6.57963 - 14.4074i) q^{89} +(4.39582 + 5.06722i) q^{90} +5.19442i q^{91} +(-0.340309 - 4.78374i) q^{92} +(9.49370 - 12.2526i) q^{93} +(-1.26848 - 8.82250i) q^{94} +(0.0959048 - 0.876226i) q^{95} +(0.632155 - 1.61257i) q^{96} +(-10.6822 + 12.3279i) q^{97} +(-5.47742 - 1.60831i) q^{98} +(-2.01085 - 1.86286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 24 q^{2} - 2 q^{3} - 24 q^{4} + 2 q^{6} + 24 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 24 q^{2} - 2 q^{3} - 24 q^{4} + 2 q^{6} + 24 q^{8} - 6 q^{9} + 9 q^{12} + 11 q^{15} - 24 q^{16} + 6 q^{18} + 4 q^{23} + 2 q^{24} - 12 q^{25} - 2 q^{27} + 22 q^{30} + 28 q^{31} + 24 q^{32} + 36 q^{35} - 6 q^{36} - 4 q^{46} - 104 q^{47} + 9 q^{48} + 70 q^{49} - 54 q^{50} - 9 q^{54} - 26 q^{55} + 44 q^{57} - 11 q^{60} + 44 q^{61} - 28 q^{62} + 121 q^{63} - 24 q^{64} - 44 q^{65} + 44 q^{66} - 102 q^{69} - 36 q^{70} - 16 q^{72} - 102 q^{75} - 8 q^{77} - 44 q^{79} + 74 q^{81} - 11 q^{84} + 22 q^{85} + 93 q^{87} + 4 q^{92} - 172 q^{93} + 16 q^{94} - 26 q^{95} + 2 q^{96} - 4 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.142315 + 0.989821i 0.100632 + 0.699909i
\(3\) −0.804725 1.53376i −0.464608 0.885516i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −2.06421 0.859668i −0.923144 0.384455i
\(6\) 1.40362 1.01481i 0.573027 0.414295i
\(7\) 0.955977 0.614369i 0.361325 0.232210i −0.347364 0.937730i \(-0.612923\pi\)
0.708689 + 0.705521i \(0.249287\pi\)
\(8\) −0.415415 0.909632i −0.146871 0.321603i
\(9\) −1.70483 + 2.46851i −0.568278 + 0.822836i
\(10\) 0.557150 2.16554i 0.176186 0.684805i
\(11\) −0.130034 + 0.904408i −0.0392068 + 0.272689i −0.999989 0.00461363i \(-0.998531\pi\)
0.960783 + 0.277303i \(0.0894405\pi\)
\(12\) 1.20424 + 1.24491i 0.347634 + 0.359376i
\(13\) −2.47130 + 3.84542i −0.685415 + 1.06653i 0.307936 + 0.951407i \(0.400362\pi\)
−0.993352 + 0.115120i \(0.963275\pi\)
\(14\) 0.744166 + 0.858813i 0.198887 + 0.229527i
\(15\) 0.342600 + 3.85780i 0.0884590 + 0.996080i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 1.74601 5.94637i 0.423470 1.44221i −0.421224 0.906957i \(-0.638399\pi\)
0.844694 0.535250i \(-0.179783\pi\)
\(18\) −2.68601 1.33618i −0.633098 0.314940i
\(19\) 0.111059 + 0.378232i 0.0254787 + 0.0867725i 0.971251 0.238058i \(-0.0765109\pi\)
−0.945772 + 0.324831i \(0.894693\pi\)
\(20\) 2.22279 + 0.243289i 0.497032 + 0.0544012i
\(21\) −1.71159 0.971841i −0.373500 0.212073i
\(22\) −0.913708 −0.194803
\(23\) −1.02121 + 4.68584i −0.212937 + 0.977066i
\(24\) −1.06086 + 1.36915i −0.216547 + 0.279477i
\(25\) 3.52194 + 3.54907i 0.704389 + 0.709815i
\(26\) −4.15798 1.89889i −0.815447 0.372402i
\(27\) 5.15802 + 0.628334i 0.992662 + 0.120923i
\(28\) −0.744166 + 0.858813i −0.140634 + 0.162300i
\(29\) −2.85664 + 9.72883i −0.530465 + 1.80660i 0.0583057 + 0.998299i \(0.481430\pi\)
−0.588771 + 0.808300i \(0.700388\pi\)
\(30\) −3.76978 + 0.888135i −0.688264 + 0.162151i
\(31\) 3.71757 + 8.14034i 0.667695 + 1.46205i 0.875174 + 0.483808i \(0.160747\pi\)
−0.207479 + 0.978239i \(0.566526\pi\)
\(32\) 0.654861 + 0.755750i 0.115764 + 0.133599i
\(33\) 1.49179 0.528359i 0.259687 0.0919754i
\(34\) 6.13433 + 0.881983i 1.05203 + 0.151259i
\(35\) −2.50149 + 0.446366i −0.422830 + 0.0754496i
\(36\) 0.940317 2.84882i 0.156720 0.474804i
\(37\) 4.47941 + 5.16952i 0.736411 + 0.849864i 0.993178 0.116610i \(-0.0372026\pi\)
−0.256767 + 0.966473i \(0.582657\pi\)
\(38\) −0.358577 + 0.163757i −0.0581689 + 0.0265648i
\(39\) 7.88666 + 0.695875i 1.26288 + 0.111429i
\(40\) 0.0755234 + 2.23479i 0.0119413 + 0.353352i
\(41\) −7.60595 6.59060i −1.18785 1.02928i −0.998881 0.0472953i \(-0.984940\pi\)
−0.188969 0.981983i \(-0.560515\pi\)
\(42\) 0.718363 1.83248i 0.110846 0.282758i
\(43\) −1.93387 + 4.23459i −0.294913 + 0.645769i −0.997854 0.0654792i \(-0.979142\pi\)
0.702941 + 0.711248i \(0.251870\pi\)
\(44\) −0.130034 0.904408i −0.0196034 0.136345i
\(45\) 5.64124 3.62994i 0.840946 0.541119i
\(46\) −4.78348 0.343953i −0.705286 0.0507130i
\(47\) −8.91322 −1.30013 −0.650063 0.759880i \(-0.725258\pi\)
−0.650063 + 0.759880i \(0.725258\pi\)
\(48\) −1.50619 0.855213i −0.217400 0.123439i
\(49\) −2.37146 + 5.19278i −0.338780 + 0.741825i
\(50\) −3.01172 + 3.99118i −0.425922 + 0.564438i
\(51\) −10.5254 + 2.10723i −1.47385 + 0.295072i
\(52\) 1.28782 4.38590i 0.178588 0.608215i
\(53\) −0.827835 1.28814i −0.113712 0.176939i 0.779733 0.626113i \(-0.215355\pi\)
−0.893445 + 0.449173i \(0.851719\pi\)
\(54\) 0.112124 + 5.19494i 0.0152582 + 0.706942i
\(55\) 1.04591 1.75510i 0.141030 0.236658i
\(56\) −0.955977 0.614369i −0.127748 0.0820986i
\(57\) 0.490745 0.474711i 0.0650008 0.0628770i
\(58\) −10.0363 1.44301i −1.31784 0.189476i
\(59\) −2.84841 + 4.43222i −0.370832 + 0.577025i −0.975649 0.219339i \(-0.929610\pi\)
0.604817 + 0.796365i \(0.293246\pi\)
\(60\) −1.41559 3.60501i −0.182752 0.465405i
\(61\) 6.70797 3.06343i 0.858868 0.392232i 0.0632259 0.997999i \(-0.479861\pi\)
0.795642 + 0.605768i \(0.207134\pi\)
\(62\) −7.52841 + 4.83822i −0.956110 + 0.614454i
\(63\) −0.113207 + 3.40724i −0.0142627 + 0.429272i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 8.40707 5.81326i 1.04277 0.721046i
\(66\) 0.735284 + 1.40141i 0.0905072 + 0.172501i
\(67\) −0.882061 6.13487i −0.107761 0.749493i −0.970020 0.243026i \(-0.921860\pi\)
0.862259 0.506468i \(-0.169049\pi\)
\(68\) 6.19741i 0.751546i
\(69\) 8.00875 2.20452i 0.964140 0.265393i
\(70\) −0.797822 2.41251i −0.0953580 0.288350i
\(71\) 9.58910 1.37871i 1.13802 0.163622i 0.452559 0.891734i \(-0.350511\pi\)
0.685458 + 0.728112i \(0.259602\pi\)
\(72\) 2.95365 + 0.525316i 0.348091 + 0.0619091i
\(73\) −1.47294 5.01637i −0.172395 0.587122i −0.999679 0.0253387i \(-0.991934\pi\)
0.827284 0.561784i \(-0.189885\pi\)
\(74\) −4.47941 + 5.16952i −0.520721 + 0.600945i
\(75\) 2.60923 8.25784i 0.301288 0.953533i
\(76\) −0.213121 0.331622i −0.0244466 0.0380397i
\(77\) 0.431331 + 0.944482i 0.0491547 + 0.107634i
\(78\) 0.433598 + 7.90542i 0.0490953 + 0.895113i
\(79\) 1.62557 2.52943i 0.182891 0.284584i −0.737687 0.675143i \(-0.764082\pi\)
0.920578 + 0.390559i \(0.127718\pi\)
\(80\) −2.20130 + 0.392799i −0.246113 + 0.0439162i
\(81\) −3.18708 8.41680i −0.354120 0.935200i
\(82\) 5.44107 8.46648i 0.600866 0.934966i
\(83\) −7.96766 + 6.90401i −0.874564 + 0.757814i −0.971391 0.237487i \(-0.923676\pi\)
0.0968267 + 0.995301i \(0.469131\pi\)
\(84\) 1.91606 + 0.450263i 0.209059 + 0.0491277i
\(85\) −8.71604 + 10.7736i −0.945388 + 1.16856i
\(86\) −4.46670 1.31154i −0.481657 0.141427i
\(87\) 17.2205 3.44763i 1.84623 0.369625i
\(88\) 0.876696 0.257421i 0.0934561 0.0274412i
\(89\) 6.57963 14.4074i 0.697439 1.52718i −0.145610 0.989342i \(-0.546514\pi\)
0.843049 0.537837i \(-0.180758\pi\)
\(90\) 4.39582 + 5.06722i 0.463360 + 0.534132i
\(91\) 5.19442i 0.544524i
\(92\) −0.340309 4.78374i −0.0354796 0.498740i
\(93\) 9.49370 12.2526i 0.984450 1.27053i
\(94\) −1.26848 8.82250i −0.130834 0.909971i
\(95\) 0.0959048 0.876226i 0.00983962 0.0898989i
\(96\) 0.632155 1.61257i 0.0645190 0.164582i
\(97\) −10.6822 + 12.3279i −1.08461 + 1.25171i −0.118677 + 0.992933i \(0.537865\pi\)
−0.965937 + 0.258778i \(0.916680\pi\)
\(98\) −5.47742 1.60831i −0.553303 0.162464i
\(99\) −2.01085 1.86286i −0.202098 0.187224i
\(100\) −4.37917 2.41306i −0.437917 0.241306i
\(101\) 4.75115 4.11690i 0.472757 0.409647i −0.385626 0.922655i \(-0.626015\pi\)
0.858384 + 0.513008i \(0.171469\pi\)
\(102\) −3.58370 10.1183i −0.354839 1.00186i
\(103\) 0.422456 2.93825i 0.0416259 0.289514i −0.958366 0.285542i \(-0.907826\pi\)
0.999992 0.00397239i \(-0.00126445\pi\)
\(104\) 4.52453 + 0.650529i 0.443667 + 0.0637897i
\(105\) 2.69763 + 3.47749i 0.263262 + 0.339368i
\(106\) 1.15721 1.00273i 0.112398 0.0973938i
\(107\) −14.2352 + 6.50102i −1.37617 + 0.628477i −0.959792 0.280713i \(-0.909429\pi\)
−0.416381 + 0.909190i \(0.636702\pi\)
\(108\) −5.12611 + 0.850301i −0.493260 + 0.0818202i
\(109\) −1.71763 + 5.84972i −0.164519 + 0.560301i 0.835423 + 0.549607i \(0.185222\pi\)
−0.999943 + 0.0106947i \(0.996596\pi\)
\(110\) 1.88609 + 0.785485i 0.179831 + 0.0748931i
\(111\) 4.32410 11.0304i 0.410426 1.04696i
\(112\) 0.472066 1.03368i 0.0446061 0.0976737i
\(113\) 9.64896 1.38731i 0.907698 0.130507i 0.327376 0.944894i \(-0.393836\pi\)
0.580322 + 0.814387i \(0.302927\pi\)
\(114\) 0.539719 + 0.418192i 0.0505494 + 0.0391673i
\(115\) 6.13627 8.79467i 0.572210 0.820107i
\(116\) 10.1396i 0.941434i
\(117\) −5.27929 12.6562i −0.488071 1.17007i
\(118\) −4.79247 2.18865i −0.441183 0.201482i
\(119\) −1.98412 6.75729i −0.181884 0.619440i
\(120\) 3.36686 1.91423i 0.307351 0.174744i
\(121\) 9.75338 + 2.86385i 0.886671 + 0.260350i
\(122\) 3.98689 + 6.20372i 0.360956 + 0.561659i
\(123\) −3.98769 + 16.9693i −0.359557 + 1.53007i
\(124\) −5.86038 6.76324i −0.526277 0.607356i
\(125\) −4.21901 10.3537i −0.377360 0.926067i
\(126\) −3.38867 + 0.372846i −0.301886 + 0.0332157i
\(127\) −14.7504 2.12078i −1.30888 0.188189i −0.547673 0.836693i \(-0.684486\pi\)
−0.761212 + 0.648504i \(0.775395\pi\)
\(128\) −0.841254 0.540641i −0.0743570 0.0477863i
\(129\) 8.05107 0.441586i 0.708858 0.0388795i
\(130\) 6.95054 + 7.49419i 0.609603 + 0.657284i
\(131\) −0.345636 0.537820i −0.0301983 0.0469895i 0.825826 0.563925i \(-0.190709\pi\)
−0.856025 + 0.516935i \(0.827073\pi\)
\(132\) −1.28250 + 0.927241i −0.111627 + 0.0807060i
\(133\) 0.338544 + 0.293350i 0.0293555 + 0.0254367i
\(134\) 5.94689 1.74617i 0.513733 0.150846i
\(135\) −10.1071 5.73120i −0.869880 0.493263i
\(136\) −6.13433 + 0.881983i −0.526014 + 0.0756295i
\(137\) 10.6373i 0.908803i 0.890797 + 0.454402i \(0.150147\pi\)
−0.890797 + 0.454402i \(0.849853\pi\)
\(138\) 3.32185 + 7.61350i 0.282774 + 0.648104i
\(139\) −9.73039 −0.825321 −0.412661 0.910885i \(-0.635400\pi\)
−0.412661 + 0.910885i \(0.635400\pi\)
\(140\) 2.27441 1.13304i 0.192223 0.0957591i
\(141\) 7.17269 + 13.6707i 0.604050 + 1.15128i
\(142\) 2.72934 + 9.29529i 0.229041 + 0.780043i
\(143\) −3.15647 2.73510i −0.263958 0.228721i
\(144\) −0.0996213 + 2.99835i −0.00830177 + 0.249862i
\(145\) 14.2603 17.6266i 1.18425 1.46381i
\(146\) 4.75569 2.17185i 0.393584 0.179744i
\(147\) 9.87285 0.541507i 0.814299 0.0446628i
\(148\) −5.75439 3.69812i −0.473008 0.303984i
\(149\) −1.24372 + 8.65025i −0.101889 + 0.708656i 0.873284 + 0.487212i \(0.161986\pi\)
−0.975173 + 0.221444i \(0.928923\pi\)
\(150\) 8.54512 + 1.40746i 0.697706 + 0.114918i
\(151\) −1.99413 1.28155i −0.162280 0.104291i 0.456980 0.889477i \(-0.348931\pi\)
−0.619260 + 0.785186i \(0.712567\pi\)
\(152\) 0.297917 0.258146i 0.0241642 0.0209384i
\(153\) 11.7020 + 14.4476i 0.946052 + 1.16802i
\(154\) −0.873484 + 0.561354i −0.0703874 + 0.0452352i
\(155\) −0.675862 19.9993i −0.0542865 1.60638i
\(156\) −7.76325 + 1.55424i −0.621557 + 0.124439i
\(157\) 17.4466 5.12278i 1.39239 0.408843i 0.502326 0.864678i \(-0.332478\pi\)
0.890064 + 0.455836i \(0.150660\pi\)
\(158\) 2.73503 + 1.24905i 0.217587 + 0.0993688i
\(159\) −1.30951 + 2.30630i −0.103851 + 0.182901i
\(160\) −0.702078 2.12299i −0.0555041 0.167837i
\(161\) 1.90258 + 5.10696i 0.149945 + 0.402485i
\(162\) 7.87756 4.35247i 0.618920 0.341963i
\(163\) −15.4066 + 2.21514i −1.20674 + 0.173503i −0.716186 0.697909i \(-0.754114\pi\)
−0.490552 + 0.871412i \(0.663205\pi\)
\(164\) 9.15464 + 4.18079i 0.714858 + 0.326465i
\(165\) −3.53357 0.191796i −0.275088 0.0149313i
\(166\) −7.96766 6.90401i −0.618410 0.535855i
\(167\) 6.41448 + 1.88346i 0.496367 + 0.145747i 0.520328 0.853966i \(-0.325810\pi\)
−0.0239611 + 0.999713i \(0.507628\pi\)
\(168\) −0.172996 + 1.96064i −0.0133469 + 0.151266i
\(169\) −3.27952 7.18116i −0.252271 0.552397i
\(170\) −11.9043 7.09409i −0.913022 0.544092i
\(171\) −1.12301 0.370673i −0.0858785 0.0283461i
\(172\) 0.662515 4.60789i 0.0505163 0.351348i
\(173\) −2.76882 + 19.2576i −0.210510 + 1.46413i 0.560950 + 0.827850i \(0.310436\pi\)
−0.771460 + 0.636278i \(0.780473\pi\)
\(174\) 5.86327 + 16.5546i 0.444494 + 1.25500i
\(175\) 5.54734 + 1.22906i 0.419339 + 0.0929082i
\(176\) 0.379568 + 0.831138i 0.0286110 + 0.0626494i
\(177\) 9.09014 + 0.802063i 0.683257 + 0.0602867i
\(178\) 15.1971 + 4.46227i 1.13907 + 0.334462i
\(179\) −3.40016 2.94626i −0.254140 0.220214i 0.518468 0.855097i \(-0.326503\pi\)
−0.772608 + 0.634883i \(0.781048\pi\)
\(180\) −4.39006 + 5.07222i −0.327216 + 0.378061i
\(181\) −13.5975 6.20977i −1.01069 0.461569i −0.159937 0.987127i \(-0.551129\pi\)
−0.850758 + 0.525558i \(0.823856\pi\)
\(182\) −5.14155 + 0.739244i −0.381117 + 0.0547964i
\(183\) −10.0966 7.82319i −0.746365 0.578307i
\(184\) 4.68662 1.01764i 0.345502 0.0750216i
\(185\) −4.80239 14.5218i −0.353079 1.06766i
\(186\) 13.4790 + 7.65334i 0.988326 + 0.561170i
\(187\) 5.15090 + 2.35234i 0.376671 + 0.172020i
\(188\) 8.55217 2.51114i 0.623731 0.183144i
\(189\) 5.31698 2.56826i 0.386754 0.186813i
\(190\) 0.880956 0.0297713i 0.0639112 0.00215984i
\(191\) −6.66753 + 4.28496i −0.482445 + 0.310049i −0.759161 0.650903i \(-0.774390\pi\)
0.276715 + 0.960952i \(0.410754\pi\)
\(192\) 1.68612 + 0.396228i 0.121685 + 0.0285953i
\(193\) 5.97374 5.17628i 0.429999 0.372597i −0.412802 0.910821i \(-0.635450\pi\)
0.842802 + 0.538224i \(0.180905\pi\)
\(194\) −13.7227 8.81903i −0.985231 0.633170i
\(195\) −15.6815 8.21634i −1.12298 0.588385i
\(196\) 0.812427 5.65055i 0.0580305 0.403611i
\(197\) −4.26621 2.74173i −0.303955 0.195340i 0.379768 0.925082i \(-0.376004\pi\)
−0.683723 + 0.729742i \(0.739640\pi\)
\(198\) 1.55772 2.25550i 0.110702 0.160291i
\(199\) −10.9150 + 4.98472i −0.773745 + 0.353357i −0.762844 0.646583i \(-0.776197\pi\)
−0.0109014 + 0.999941i \(0.503470\pi\)
\(200\) 1.76528 4.67801i 0.124824 0.330785i
\(201\) −8.69959 + 6.28975i −0.613622 + 0.443645i
\(202\) 4.75115 + 4.11690i 0.334290 + 0.289664i
\(203\) 3.24621 + 11.0556i 0.227839 + 0.775949i
\(204\) 9.50533 4.98721i 0.665507 0.349175i
\(205\) 10.0346 + 20.1430i 0.700845 + 1.40685i
\(206\) 2.96846 0.206823
\(207\) −9.82605 10.5095i −0.682958 0.730458i
\(208\) 4.57106i 0.316946i
\(209\) −0.356518 + 0.0512595i −0.0246608 + 0.00354569i
\(210\) −3.05818 + 3.16507i −0.211034 + 0.218411i
\(211\) 15.8447 4.65242i 1.09079 0.320286i 0.313605 0.949554i \(-0.398463\pi\)
0.777188 + 0.629268i \(0.216645\pi\)
\(212\) 1.15721 + 1.00273i 0.0794777 + 0.0688678i
\(213\) −9.83120 13.5979i −0.673622 0.931713i
\(214\) −8.46074 13.1652i −0.578364 0.899952i
\(215\) 7.63226 7.07860i 0.520516 0.482757i
\(216\) −1.57117 4.95292i −0.106904 0.337004i
\(217\) 8.55508 + 5.49802i 0.580757 + 0.373230i
\(218\) −6.03462 0.867648i −0.408716 0.0587645i
\(219\) −6.50860 + 6.29594i −0.439810 + 0.425440i
\(220\) −0.509072 + 1.97868i −0.0343216 + 0.133402i
\(221\) 18.5514 + 21.4094i 1.24790 + 1.44015i
\(222\) 11.5335 + 2.71030i 0.774078 + 0.181903i
\(223\) −5.77324 8.98334i −0.386605 0.601569i 0.592341 0.805687i \(-0.298204\pi\)
−0.978946 + 0.204118i \(0.934567\pi\)
\(224\) 1.09034 + 0.320153i 0.0728515 + 0.0213911i
\(225\) −14.7653 + 2.64337i −0.984350 + 0.176224i
\(226\) 2.74638 + 9.35332i 0.182687 + 0.622173i
\(227\) 6.55117 + 2.99182i 0.434817 + 0.198574i 0.620784 0.783982i \(-0.286814\pi\)
−0.185967 + 0.982556i \(0.559542\pi\)
\(228\) −0.337125 + 0.593741i −0.0223267 + 0.0393214i
\(229\) 14.7923i 0.977502i −0.872423 0.488751i \(-0.837453\pi\)
0.872423 0.488751i \(-0.162547\pi\)
\(230\) 9.57844 + 4.82220i 0.631583 + 0.317966i
\(231\) 1.10151 1.42161i 0.0724738 0.0935348i
\(232\) 10.0363 1.44301i 0.658919 0.0947382i
\(233\) 3.13206 6.85824i 0.205188 0.449299i −0.778861 0.627196i \(-0.784202\pi\)
0.984049 + 0.177898i \(0.0569296\pi\)
\(234\) 11.7761 7.02673i 0.769827 0.459352i
\(235\) 18.3988 + 7.66241i 1.20020 + 0.499840i
\(236\) 1.48433 5.05517i 0.0966218 0.329064i
\(237\) −5.18768 0.457731i −0.336976 0.0297329i
\(238\) 6.40614 2.92559i 0.415249 0.189638i
\(239\) 12.4756 10.8101i 0.806976 0.699249i −0.150231 0.988651i \(-0.548002\pi\)
0.957208 + 0.289402i \(0.0934564\pi\)
\(240\) 2.37390 + 3.06016i 0.153234 + 0.197533i
\(241\) 8.53816 + 1.22760i 0.549991 + 0.0790768i 0.411708 0.911316i \(-0.364932\pi\)
0.138283 + 0.990393i \(0.455842\pi\)
\(242\) −1.44665 + 10.0617i −0.0929942 + 0.646789i
\(243\) −10.3446 + 11.6614i −0.663608 + 0.748081i
\(244\) −5.57318 + 4.82919i −0.356786 + 0.309157i
\(245\) 9.35926 8.68032i 0.597941 0.554566i
\(246\) −17.3641 1.53211i −1.10709 0.0976838i
\(247\) −1.72892 0.507657i −0.110009 0.0323015i
\(248\) 5.86038 6.76324i 0.372134 0.429466i
\(249\) 17.0009 + 6.66463i 1.07739 + 0.422354i
\(250\) 9.64793 5.64956i 0.610188 0.357310i
\(251\) 3.58418 + 24.9285i 0.226231 + 1.57347i 0.713776 + 0.700375i \(0.246984\pi\)
−0.487544 + 0.873098i \(0.662107\pi\)
\(252\) −0.851308 3.30111i −0.0536274 0.207951i
\(253\) −4.10512 1.53291i −0.258087 0.0963733i
\(254\) 14.9021i 0.935038i
\(255\) 23.5381 + 4.69854i 1.47401 + 0.294234i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 12.4856 3.66611i 0.778831 0.228686i 0.131930 0.991259i \(-0.457883\pi\)
0.646902 + 0.762573i \(0.276064\pi\)
\(258\) 1.58288 + 7.90628i 0.0985457 + 0.492224i
\(259\) 7.45821 + 2.18993i 0.463431 + 0.136076i
\(260\) −6.42874 + 7.94633i −0.398694 + 0.492810i
\(261\) −19.1456 23.6377i −1.18508 1.46314i
\(262\) 0.483156 0.418657i 0.0298495 0.0258647i
\(263\) −9.83503 + 15.3036i −0.606454 + 0.943661i 0.393252 + 0.919431i \(0.371350\pi\)
−0.999706 + 0.0242305i \(0.992286\pi\)
\(264\) −1.10032 1.13749i −0.0677201 0.0700075i
\(265\) 0.601458 + 3.37065i 0.0369473 + 0.207057i
\(266\) −0.242185 + 0.376847i −0.0148493 + 0.0231059i
\(267\) −27.3922 + 1.50241i −1.67638 + 0.0919462i
\(268\) 2.57472 + 5.63786i 0.157276 + 0.344387i
\(269\) 5.64427 + 8.78265i 0.344137 + 0.535488i 0.969578 0.244784i \(-0.0787171\pi\)
−0.625440 + 0.780272i \(0.715081\pi\)
\(270\) 4.23448 10.8199i 0.257702 0.658475i
\(271\) −0.564550 + 0.651525i −0.0342939 + 0.0395773i −0.772637 0.634848i \(-0.781063\pi\)
0.738343 + 0.674425i \(0.235608\pi\)
\(272\) −1.74601 5.94637i −0.105868 0.360552i
\(273\) 7.96700 4.18008i 0.482185 0.252990i
\(274\) −10.5290 + 1.51384i −0.636080 + 0.0914545i
\(275\) −3.66778 + 2.72377i −0.221176 + 0.164250i
\(276\) −7.06325 + 4.37155i −0.425158 + 0.263136i
\(277\) 13.4347i 0.807212i −0.914933 0.403606i \(-0.867757\pi\)
0.914933 0.403606i \(-0.132243\pi\)
\(278\) −1.38478 9.63135i −0.0830536 0.577650i
\(279\) −26.4323 4.70108i −1.58246 0.281446i
\(280\) 1.44519 + 2.09001i 0.0863664 + 0.124902i
\(281\) −8.66510 + 10.0001i −0.516917 + 0.596554i −0.952856 0.303422i \(-0.901871\pi\)
0.435939 + 0.899976i \(0.356416\pi\)
\(282\) −12.5108 + 9.04523i −0.745007 + 0.538636i
\(283\) −25.3685 + 16.3033i −1.50800 + 0.969132i −0.514232 + 0.857651i \(0.671923\pi\)
−0.993767 + 0.111481i \(0.964441\pi\)
\(284\) −8.81225 + 4.02442i −0.522911 + 0.238805i
\(285\) −1.42110 + 0.558026i −0.0841785 + 0.0330546i
\(286\) 2.25805 3.51359i 0.133521 0.207763i
\(287\) −11.3202 1.62760i −0.668209 0.0960740i
\(288\) −2.98200 + 0.328102i −0.175716 + 0.0193336i
\(289\) −18.0095 11.5740i −1.05938 0.680822i
\(290\) 19.4766 + 11.6066i 1.14371 + 0.681563i
\(291\) 27.5043 + 6.46334i 1.61233 + 0.378888i
\(292\) 2.82655 + 4.39820i 0.165411 + 0.257385i
\(293\) −2.12053 + 7.22185i −0.123882 + 0.421905i −0.997957 0.0638867i \(-0.979650\pi\)
0.874075 + 0.485791i \(0.161469\pi\)
\(294\) 1.94105 + 9.69529i 0.113204 + 0.565441i
\(295\) 9.68996 6.70035i 0.564171 0.390109i
\(296\) 2.84154 6.22212i 0.165161 0.361653i
\(297\) −1.23899 + 4.58325i −0.0718935 + 0.265947i
\(298\) −8.73920 −0.506248
\(299\) −15.4953 15.5071i −0.896117 0.896800i
\(300\) −0.177033 + 8.65844i −0.0102210 + 0.499896i
\(301\) 0.752864 + 5.23628i 0.0433943 + 0.301814i
\(302\) 0.984710 2.15621i 0.0566637 0.124076i
\(303\) −10.1377 3.97415i −0.582396 0.228309i
\(304\) 0.297917 + 0.258146i 0.0170867 + 0.0148057i
\(305\) −16.4802 + 0.556938i −0.943654 + 0.0318902i
\(306\) −12.6352 + 13.6390i −0.722306 + 0.779691i
\(307\) −20.7597 + 9.48065i −1.18482 + 0.541090i −0.907649 0.419731i \(-0.862124\pi\)
−0.277172 + 0.960820i \(0.589397\pi\)
\(308\) −0.679950 0.784704i −0.0387438 0.0447127i
\(309\) −4.84653 + 1.71654i −0.275709 + 0.0976503i
\(310\) 19.6995 3.51517i 1.11886 0.199648i
\(311\) −7.18241 1.03267i −0.407277 0.0585576i −0.0643681 0.997926i \(-0.520503\pi\)
−0.342909 + 0.939369i \(0.611412\pi\)
\(312\) −2.64325 7.46304i −0.149645 0.422511i
\(313\) −11.7474 13.5572i −0.664001 0.766298i 0.319424 0.947612i \(-0.396511\pi\)
−0.983425 + 0.181313i \(0.941965\pi\)
\(314\) 7.55355 + 16.5400i 0.426271 + 0.933404i
\(315\) 3.16277 6.93594i 0.178202 0.390796i
\(316\) −0.847098 + 2.88495i −0.0476530 + 0.162291i
\(317\) 8.78306 10.1362i 0.493306 0.569305i −0.453440 0.891287i \(-0.649803\pi\)
0.946746 + 0.321982i \(0.104349\pi\)
\(318\) −2.46918 0.967963i −0.138465 0.0542807i
\(319\) −8.42737 3.84865i −0.471842 0.215483i
\(320\) 2.00146 0.997065i 0.111885 0.0557376i
\(321\) 21.4265 + 16.6019i 1.19591 + 0.926628i
\(322\) −4.78421 + 2.61001i −0.266614 + 0.145450i
\(323\) 2.44302 0.135933
\(324\) 5.42927 + 7.17796i 0.301626 + 0.398775i
\(325\) −22.3515 + 4.77252i −1.23984 + 0.264732i
\(326\) −4.38518 14.9345i −0.242872 0.827148i
\(327\) 10.3543 2.07298i 0.572593 0.114636i
\(328\) −2.83539 + 9.65645i −0.156558 + 0.533188i
\(329\) −8.52084 + 5.47601i −0.469769 + 0.301902i
\(330\) −0.313036 3.52490i −0.0172321 0.194040i
\(331\) 10.6386 + 12.2776i 0.584748 + 0.674836i 0.968619 0.248551i \(-0.0799545\pi\)
−0.383870 + 0.923387i \(0.625409\pi\)
\(332\) 5.69983 8.86910i 0.312819 0.486755i
\(333\) −20.3977 + 2.24430i −1.11779 + 0.122987i
\(334\) −0.951414 + 6.61723i −0.0520591 + 0.362079i
\(335\) −3.45319 + 13.4219i −0.188668 + 0.733319i
\(336\) −1.96530 + 0.107793i −0.107216 + 0.00588060i
\(337\) −0.990198 2.16823i −0.0539395 0.118111i 0.880743 0.473594i \(-0.157044\pi\)
−0.934683 + 0.355483i \(0.884316\pi\)
\(338\) 6.64134 4.26813i 0.361241 0.232156i
\(339\) −9.89257 13.6828i −0.537290 0.743147i
\(340\) 5.32771 12.7928i 0.288936 0.693785i
\(341\) −7.84559 + 2.30367i −0.424863 + 0.124751i
\(342\) 0.207080 1.16433i 0.0111976 0.0629597i
\(343\) 2.05528 + 14.2948i 0.110975 + 0.771845i
\(344\) 4.65528 0.250996
\(345\) −18.4269 2.33426i −0.992072 0.125672i
\(346\) −19.4556 −1.04594
\(347\) 2.54956 + 17.7326i 0.136867 + 0.951934i 0.936306 + 0.351186i \(0.114221\pi\)
−0.799438 + 0.600748i \(0.794870\pi\)
\(348\) −15.5516 + 8.15956i −0.833655 + 0.437398i
\(349\) 4.48842 1.31792i 0.240260 0.0705466i −0.159386 0.987216i \(-0.550951\pi\)
0.399646 + 0.916670i \(0.369133\pi\)
\(350\) −0.427081 + 5.66579i −0.0228284 + 0.302849i
\(351\) −15.1632 + 18.2820i −0.809353 + 0.975819i
\(352\) −0.768660 + 0.493988i −0.0409697 + 0.0263296i
\(353\) 0.0845283 + 0.185091i 0.00449899 + 0.00985141i 0.911868 0.410483i \(-0.134640\pi\)
−0.907369 + 0.420335i \(0.861913\pi\)
\(354\) 0.499763 + 9.11176i 0.0265621 + 0.484285i
\(355\) −20.9792 5.39750i −1.11346 0.286470i
\(356\) −2.25408 + 15.6775i −0.119466 + 0.830904i
\(357\) −8.76739 + 8.48093i −0.464019 + 0.448858i
\(358\) 2.43238 3.78485i 0.128555 0.200036i
\(359\) −17.1471 19.7888i −0.904987 1.04441i −0.998808 0.0488218i \(-0.984453\pi\)
0.0938202 0.995589i \(-0.470092\pi\)
\(360\) −5.64536 3.62352i −0.297537 0.190976i
\(361\) 15.8531 10.1882i 0.834373 0.536219i
\(362\) 4.21144 14.3428i 0.221348 0.753843i
\(363\) −3.45633 17.2639i −0.181410 0.906122i
\(364\) −1.46344 4.98401i −0.0767050 0.261233i
\(365\) −1.27195 + 11.6211i −0.0665771 + 0.608276i
\(366\) 6.30666 11.1072i 0.329655 0.580584i
\(367\) 11.5036 0.600485 0.300243 0.953863i \(-0.402932\pi\)
0.300243 + 0.953863i \(0.402932\pi\)
\(368\) 1.67426 + 4.49409i 0.0872768 + 0.234271i
\(369\) 29.2358 7.53949i 1.52196 0.392490i
\(370\) 13.6905 6.82018i 0.711737 0.354564i
\(371\) −1.58278 0.722833i −0.0821740 0.0375276i
\(372\) −5.65718 + 14.4310i −0.293311 + 0.748210i
\(373\) 1.82996 2.11188i 0.0947515 0.109349i −0.706394 0.707819i \(-0.749679\pi\)
0.801145 + 0.598470i \(0.204225\pi\)
\(374\) −1.59535 + 5.43325i −0.0824933 + 0.280947i
\(375\) −12.4850 + 14.8029i −0.644723 + 0.764417i
\(376\) 3.70268 + 8.10775i 0.190951 + 0.418125i
\(377\) −30.3518 35.0279i −1.56320 1.80403i
\(378\) 3.29880 + 4.89736i 0.169672 + 0.251893i
\(379\) 0.210121 + 0.0302108i 0.0107932 + 0.00155183i 0.147709 0.989031i \(-0.452810\pi\)
−0.136916 + 0.990583i \(0.543719\pi\)
\(380\) 0.154841 + 0.867752i 0.00794319 + 0.0445147i
\(381\) 8.61723 + 24.3302i 0.441474 + 1.24647i
\(382\) −5.19023 5.98985i −0.265555 0.306467i
\(383\) 28.5118 13.0209i 1.45689 0.665338i 0.479644 0.877463i \(-0.340766\pi\)
0.977242 + 0.212125i \(0.0680385\pi\)
\(384\) −0.152235 + 1.72535i −0.00776871 + 0.0880463i
\(385\) −0.0784169 2.32041i −0.00399649 0.118259i
\(386\) 5.97374 + 5.17628i 0.304056 + 0.263466i
\(387\) −7.15619 11.9931i −0.363770 0.609641i
\(388\) 6.77633 14.8381i 0.344016 0.753290i
\(389\) 2.59557 + 18.0526i 0.131600 + 0.915301i 0.943469 + 0.331461i \(0.107541\pi\)
−0.811869 + 0.583840i \(0.801549\pi\)
\(390\) 5.90100 16.6912i 0.298809 0.845193i
\(391\) 26.0807 + 14.2540i 1.31896 + 0.720858i
\(392\) 5.70866 0.288331
\(393\) −0.546744 + 0.962919i −0.0275796 + 0.0485728i
\(394\) 2.10668 4.61298i 0.106133 0.232398i
\(395\) −5.52999 + 3.82384i −0.278244 + 0.192398i
\(396\) 2.45423 + 1.22088i 0.123329 + 0.0613513i
\(397\) 5.20139 17.7143i 0.261050 0.889055i −0.719782 0.694200i \(-0.755758\pi\)
0.980832 0.194855i \(-0.0624236\pi\)
\(398\) −6.48735 10.0945i −0.325182 0.505992i
\(399\) 0.177494 0.755312i 0.00888579 0.0378129i
\(400\) 4.88162 + 1.08156i 0.244081 + 0.0540782i
\(401\) −0.210668 0.135388i −0.0105203 0.00676096i 0.535370 0.844618i \(-0.320172\pi\)
−0.545890 + 0.837857i \(0.683808\pi\)
\(402\) −7.46381 7.71592i −0.372261 0.384835i
\(403\) −40.4902 5.82162i −2.01696 0.289995i
\(404\) −3.39883 + 5.28869i −0.169098 + 0.263122i
\(405\) −0.656849 + 20.1139i −0.0326391 + 0.999467i
\(406\) −10.4811 + 4.78654i −0.520166 + 0.237552i
\(407\) −5.25783 + 3.37900i −0.260621 + 0.167491i
\(408\) 6.28920 + 8.69883i 0.311362 + 0.430656i
\(409\) −10.4300 + 12.0368i −0.515728 + 0.595182i −0.952556 0.304363i \(-0.901556\pi\)
0.436828 + 0.899545i \(0.356102\pi\)
\(410\) −18.5099 + 12.7991i −0.914138 + 0.632102i
\(411\) 16.3150 8.56008i 0.804760 0.422237i
\(412\) 0.422456 + 2.93825i 0.0208129 + 0.144757i
\(413\) 5.98708i 0.294605i
\(414\) 9.00410 11.2217i 0.442527 0.551516i
\(415\) 22.3821 7.40181i 1.09869 0.363341i
\(416\) −4.52453 + 0.650529i −0.221833 + 0.0318948i
\(417\) 7.83029 + 14.9241i 0.383451 + 0.730835i
\(418\) −0.101476 0.345594i −0.00496333 0.0169036i
\(419\) 10.4325 12.0398i 0.509661 0.588180i −0.441351 0.897335i \(-0.645500\pi\)
0.951012 + 0.309154i \(0.100046\pi\)
\(420\) −3.56808 2.57661i −0.174105 0.125726i
\(421\) 10.0357 + 15.6159i 0.489111 + 0.761072i 0.994822 0.101631i \(-0.0324062\pi\)
−0.505711 + 0.862703i \(0.668770\pi\)
\(422\) 6.86000 + 15.0213i 0.333939 + 0.731225i
\(423\) 15.1956 22.0024i 0.738834 1.06979i
\(424\) −0.827835 + 1.28814i −0.0402032 + 0.0625575i
\(425\) 27.2535 14.7461i 1.32199 0.715289i
\(426\) 12.0604 11.6663i 0.584327 0.565235i
\(427\) 4.53059 7.04974i 0.219251 0.341161i
\(428\) 11.8271 10.2482i 0.571683 0.495366i
\(429\) −1.65489 + 7.04227i −0.0798989 + 0.340004i
\(430\) 8.09273 + 6.54718i 0.390266 + 0.315733i
\(431\) −6.68325 1.96238i −0.321921 0.0945244i 0.116780 0.993158i \(-0.462743\pi\)
−0.438700 + 0.898633i \(0.644561\pi\)
\(432\) 4.67891 2.26005i 0.225114 0.108737i
\(433\) 26.5442 7.79408i 1.27563 0.374559i 0.427341 0.904090i \(-0.359450\pi\)
0.848291 + 0.529531i \(0.177632\pi\)
\(434\) −4.22454 + 9.25045i −0.202784 + 0.444036i
\(435\) −38.5106 7.68726i −1.84644 0.368576i
\(436\) 6.09668i 0.291978i
\(437\) −1.88575 + 0.134150i −0.0902078 + 0.00641726i
\(438\) −7.15813 5.54635i −0.342028 0.265015i
\(439\) 1.67590 + 11.6562i 0.0799864 + 0.556318i 0.989927 + 0.141579i \(0.0452179\pi\)
−0.909941 + 0.414739i \(0.863873\pi\)
\(440\) −2.03098 0.222295i −0.0968234 0.0105975i
\(441\) −8.77547 14.7068i −0.417880 0.700324i
\(442\) −18.5514 + 21.4094i −0.882399 + 1.01834i
\(443\) −25.6971 7.54536i −1.22091 0.358491i −0.393097 0.919497i \(-0.628596\pi\)
−0.827812 + 0.561006i \(0.810414\pi\)
\(444\) −1.04133 + 11.8018i −0.0494191 + 0.560090i
\(445\) −25.9673 + 24.0836i −1.23097 + 1.14167i
\(446\) 8.07029 6.99294i 0.382139 0.331125i
\(447\) 14.2683 5.05351i 0.674865 0.239023i
\(448\) −0.161723 + 1.12481i −0.00764068 + 0.0531421i
\(449\) −20.2233 2.90767i −0.954398 0.137222i −0.352515 0.935806i \(-0.614673\pi\)
−0.601883 + 0.798585i \(0.705583\pi\)
\(450\) −4.71777 14.2388i −0.222398 0.671222i
\(451\) 6.94962 6.02188i 0.327245 0.283559i
\(452\) −8.86726 + 4.04954i −0.417081 + 0.190474i
\(453\) −0.360861 + 4.08981i −0.0169547 + 0.192156i
\(454\) −2.02904 + 6.91027i −0.0952275 + 0.324315i
\(455\) 4.46548 10.7224i 0.209345 0.502674i
\(456\) −0.635675 0.249196i −0.0297682 0.0116697i
\(457\) −4.15562 + 9.09955i −0.194392 + 0.425659i −0.981579 0.191055i \(-0.938809\pi\)
0.787187 + 0.616714i \(0.211536\pi\)
\(458\) 14.6417 2.10516i 0.684163 0.0983678i
\(459\) 12.7423 29.5744i 0.594759 1.38042i
\(460\) −3.40996 + 10.1672i −0.158990 + 0.474049i
\(461\) 17.0976i 0.796314i 0.917317 + 0.398157i \(0.130350\pi\)
−0.917317 + 0.398157i \(0.869650\pi\)
\(462\) 1.56390 + 0.887978i 0.0727591 + 0.0413125i
\(463\) 7.29605 + 3.33199i 0.339076 + 0.154851i 0.577674 0.816268i \(-0.303961\pi\)
−0.238598 + 0.971118i \(0.576688\pi\)
\(464\) 2.85664 + 9.72883i 0.132616 + 0.451650i
\(465\) −30.1302 + 17.1305i −1.39725 + 0.794408i
\(466\) 7.23417 + 2.12415i 0.335117 + 0.0983991i
\(467\) 12.6660 + 19.7087i 0.586113 + 0.912010i 0.999999 + 0.00168120i \(0.000535142\pi\)
−0.413885 + 0.910329i \(0.635828\pi\)
\(468\) 8.63112 + 10.6562i 0.398974 + 0.492584i
\(469\) −4.61230 5.32288i −0.212976 0.245788i
\(470\) −4.96600 + 19.3020i −0.229064 + 0.890334i
\(471\) −21.8968 22.6364i −1.00895 1.04303i
\(472\) 5.21496 + 0.749798i 0.240038 + 0.0345122i
\(473\) −3.57832 2.29965i −0.164532 0.105738i
\(474\) −0.285211 5.20002i −0.0131002 0.238845i
\(475\) −0.951231 + 1.72627i −0.0436455 + 0.0792067i
\(476\) 3.80750 + 5.92458i 0.174516 + 0.271553i
\(477\) 4.59110 + 0.152541i 0.210212 + 0.00698438i
\(478\) 12.4756 + 10.8101i 0.570619 + 0.494444i
\(479\) 39.1601 11.4984i 1.78927 0.525377i 0.792811 0.609467i \(-0.208617\pi\)
0.996458 + 0.0840904i \(0.0267984\pi\)
\(480\) −2.69118 + 2.78524i −0.122835 + 0.127128i
\(481\) −30.9490 + 4.44979i −1.41115 + 0.202893i
\(482\) 8.62596i 0.392902i
\(483\) 6.30179 7.02780i 0.286741 0.319776i
\(484\) −10.1651 −0.462052
\(485\) 32.6483 16.2643i 1.48248 0.738524i
\(486\) −13.0149 8.57974i −0.590369 0.389185i
\(487\) 3.42982 + 11.6809i 0.155420 + 0.529312i 0.999981 0.00614729i \(-0.00195675\pi\)
−0.844561 + 0.535459i \(0.820139\pi\)
\(488\) −5.57318 4.82919i −0.252286 0.218607i
\(489\) 15.7956 + 21.8474i 0.714300 + 0.987976i
\(490\) 9.92393 + 8.02866i 0.448318 + 0.362698i
\(491\) −4.58738 + 2.09498i −0.207025 + 0.0945453i −0.516229 0.856450i \(-0.672665\pi\)
0.309204 + 0.950996i \(0.399937\pi\)
\(492\) −0.954654 17.4054i −0.0430391 0.784696i
\(493\) 52.8635 + 33.9733i 2.38085 + 1.53008i
\(494\) 0.256439 1.78357i 0.0115377 0.0802467i
\(495\) 2.54939 + 5.57400i 0.114586 + 0.250532i
\(496\) 7.52841 + 4.83822i 0.338036 + 0.217242i
\(497\) 8.31993 7.20926i 0.373200 0.323380i
\(498\) −4.17732 + 17.7763i −0.187190 + 0.796575i
\(499\) −29.3886 + 18.8869i −1.31562 + 0.845495i −0.994820 0.101653i \(-0.967587\pi\)
−0.320796 + 0.947148i \(0.603950\pi\)
\(500\) 6.96510 + 8.74571i 0.311489 + 0.391120i
\(501\) −2.27312 11.3539i −0.101555 0.507256i
\(502\) −24.1647 + 7.09539i −1.07852 + 0.316683i
\(503\) −5.36550 2.45034i −0.239236 0.109255i 0.292190 0.956360i \(-0.405616\pi\)
−0.531425 + 0.847105i \(0.678343\pi\)
\(504\) 3.14636 1.31244i 0.140150 0.0584608i
\(505\) −13.3466 + 4.41374i −0.593914 + 0.196409i
\(506\) 0.933090 4.28149i 0.0414809 0.190336i
\(507\) −8.37505 + 10.8089i −0.371949 + 0.480038i
\(508\) 14.7504 2.12078i 0.654442 0.0940946i
\(509\) 5.65035 + 2.58043i 0.250447 + 0.114375i 0.536683 0.843784i \(-0.319677\pi\)
−0.286236 + 0.958159i \(0.592404\pi\)
\(510\) −1.30089 + 23.9672i −0.0576046 + 1.06128i
\(511\) −4.49000 3.89061i −0.198626 0.172111i
\(512\) 0.959493 + 0.281733i 0.0424040 + 0.0124509i
\(513\) 0.335189 + 2.02071i 0.0147989 + 0.0892167i
\(514\) 5.40568 + 11.8368i 0.238434 + 0.522098i
\(515\) −3.39796 + 5.70200i −0.149732 + 0.251260i
\(516\) −7.60054 + 2.69195i −0.334595 + 0.118506i
\(517\) 1.15902 8.06118i 0.0509738 0.354530i
\(518\) −1.10622 + 7.69396i −0.0486047 + 0.338053i
\(519\) 31.7647 11.2504i 1.39431 0.493836i
\(520\) −8.78035 5.23242i −0.385044 0.229457i
\(521\) −0.259221 0.567615i −0.0113567 0.0248676i 0.903869 0.427810i \(-0.140715\pi\)
−0.915225 + 0.402942i \(0.867987\pi\)
\(522\) 20.6724 22.3147i 0.904806 0.976689i
\(523\) 24.8294 + 7.29057i 1.08571 + 0.318794i 0.775162 0.631762i \(-0.217668\pi\)
0.310551 + 0.950557i \(0.399486\pi\)
\(524\) 0.483156 + 0.418657i 0.0211068 + 0.0182891i
\(525\) −2.57900 9.49734i −0.112557 0.414498i
\(526\) −16.5475 7.55700i −0.721506 0.329501i
\(527\) 54.8964 7.89291i 2.39132 0.343820i
\(528\) 0.969318 1.25100i 0.0421841 0.0544429i
\(529\) −20.9143 9.57048i −0.909315 0.416108i
\(530\) −3.25075 + 1.07503i −0.141203 + 0.0466963i
\(531\) −6.08490 14.5875i −0.264062 0.633045i
\(532\) −0.407477 0.186089i −0.0176664 0.00806796i
\(533\) 44.1402 12.9607i 1.91192 0.561392i
\(534\) −5.38544 26.8996i −0.233051 1.16406i
\(535\) 34.9733 1.18190i 1.51203 0.0510980i
\(536\) −5.21405 + 3.35087i −0.225213 + 0.144735i
\(537\) −1.78265 + 7.58596i −0.0769272 + 0.327358i
\(538\) −7.89000 + 6.83672i −0.340162 + 0.294752i
\(539\) −4.38802 2.82001i −0.189005 0.121466i
\(540\) 11.3124 + 2.65155i 0.486806 + 0.114105i
\(541\) 0.424572 2.95296i 0.0182538 0.126958i −0.978657 0.205501i \(-0.934118\pi\)
0.996911 + 0.0785430i \(0.0250268\pi\)
\(542\) −0.725237 0.466082i −0.0311516 0.0200199i
\(543\) 1.41796 + 25.8525i 0.0608505 + 1.10944i
\(544\) 5.63736 2.57450i 0.241700 0.110381i
\(545\) 8.57437 10.5985i 0.367286 0.453988i
\(546\) 5.27136 + 7.29102i 0.225593 + 0.312027i
\(547\) 23.2611 + 20.1559i 0.994575 + 0.861804i 0.990406 0.138187i \(-0.0441276\pi\)
0.00416877 + 0.999991i \(0.498673\pi\)
\(548\) −2.99686 10.2064i −0.128020 0.435995i
\(549\) −3.87388 + 21.7813i −0.165333 + 0.929604i
\(550\) −3.21803 3.24282i −0.137217 0.138274i
\(551\) −3.99702 −0.170279
\(552\) −5.33226 6.36922i −0.226956 0.271092i
\(553\) 3.41678i 0.145296i
\(554\) 13.2979 1.91196i 0.564976 0.0812312i
\(555\) −18.4083 + 19.0518i −0.781390 + 0.808702i
\(556\) 9.33625 2.74137i 0.395945 0.116260i
\(557\) −8.80579 7.63026i −0.373113 0.323304i 0.448039 0.894014i \(-0.352123\pi\)
−0.821152 + 0.570710i \(0.806668\pi\)
\(558\) 0.891515 26.8323i 0.0377408 1.13590i
\(559\) −11.5046 17.9015i −0.486592 0.757152i
\(560\) −1.86307 + 1.72792i −0.0787289 + 0.0730178i
\(561\) −0.537140 9.79323i −0.0226781 0.413471i
\(562\) −11.1314 7.15375i −0.469552 0.301763i
\(563\) 8.52409 + 1.22558i 0.359248 + 0.0516520i 0.319576 0.947561i \(-0.396460\pi\)
0.0396719 + 0.999213i \(0.487369\pi\)
\(564\) −10.7336 11.0962i −0.451968 0.467234i
\(565\) −21.1101 5.43120i −0.888110 0.228492i
\(566\) −19.7477 22.7900i −0.830057 0.957937i
\(567\) −8.21780 6.08823i −0.345115 0.255682i
\(568\) −5.23757 8.14982i −0.219764 0.341959i
\(569\) −2.26547 0.665201i −0.0949733 0.0278867i 0.233901 0.972261i \(-0.424851\pi\)
−0.328874 + 0.944374i \(0.606669\pi\)
\(570\) −0.754589 1.32722i −0.0316063 0.0555910i
\(571\) −3.60250 12.2690i −0.150760 0.513441i 0.849132 0.528181i \(-0.177126\pi\)
−0.999891 + 0.0147407i \(0.995308\pi\)
\(572\) 3.79918 + 1.73503i 0.158852 + 0.0725451i
\(573\) 11.9376 + 6.77817i 0.498701 + 0.283162i
\(574\) 11.4366i 0.477354i
\(575\) −20.2270 + 12.8789i −0.843526 + 0.537088i
\(576\) −0.749146 2.90496i −0.0312144 0.121040i
\(577\) 25.2836 3.63524i 1.05257 0.151337i 0.405755 0.913982i \(-0.367009\pi\)
0.646817 + 0.762645i \(0.276100\pi\)
\(578\) 8.89316 19.4733i 0.369907 0.809983i
\(579\) −12.7464 4.99680i −0.529722 0.207660i
\(580\) −8.71665 + 20.9302i −0.361939 + 0.869079i
\(581\) −3.37529 + 11.4952i −0.140030 + 0.476900i
\(582\) −2.48328 + 28.1442i −0.102935 + 1.16661i
\(583\) 1.27265 0.581199i 0.0527077 0.0240708i
\(584\) −3.95117 + 3.42371i −0.163501 + 0.141674i
\(585\) 0.0174267 + 30.6636i 0.000720504 + 1.26778i
\(586\) −7.45012 1.07117i −0.307762 0.0442494i
\(587\) −3.99189 + 27.7642i −0.164763 + 1.14595i 0.724740 + 0.689022i \(0.241960\pi\)
−0.889503 + 0.456929i \(0.848949\pi\)
\(588\) −9.32037 + 3.30107i −0.384365 + 0.136134i
\(589\) −2.66607 + 2.31016i −0.109853 + 0.0951886i
\(590\) 8.01117 + 8.63777i 0.329815 + 0.355611i
\(591\) −0.772022 + 8.74968i −0.0317568 + 0.359914i
\(592\) 6.56318 + 1.92712i 0.269745 + 0.0792043i
\(593\) −13.0277 + 15.0347i −0.534982 + 0.617402i −0.957318 0.289037i \(-0.906665\pi\)
0.422336 + 0.906439i \(0.361210\pi\)
\(594\) −4.71293 0.574114i −0.193374 0.0235562i
\(595\) −1.71338 + 15.6542i −0.0702418 + 0.641758i
\(596\) −1.24372 8.65025i −0.0509447 0.354328i
\(597\) 16.4289 + 12.7297i 0.672392 + 0.520991i
\(598\) 13.1441 17.5445i 0.537501 0.717447i
\(599\) 27.6371i 1.12922i 0.825357 + 0.564611i \(0.190974\pi\)
−0.825357 + 0.564611i \(0.809026\pi\)
\(600\) −8.59551 + 1.05699i −0.350910 + 0.0431516i
\(601\) 12.5572 27.4964i 0.512219 1.12160i −0.460083 0.887876i \(-0.652180\pi\)
0.972302 0.233727i \(-0.0750922\pi\)
\(602\) −5.07584 + 1.49040i −0.206876 + 0.0607442i
\(603\) 16.6477 + 8.28156i 0.677949 + 0.337251i
\(604\) 2.27441 + 0.667826i 0.0925442 + 0.0271734i
\(605\) −17.6711 14.2963i −0.718432 0.581226i
\(606\) 2.49096 10.6001i 0.101188 0.430600i
\(607\) 22.1014 19.1510i 0.897069 0.777315i −0.0785212 0.996912i \(-0.525020\pi\)
0.975591 + 0.219597i \(0.0704744\pi\)
\(608\) −0.213121 + 0.331622i −0.00864319 + 0.0134491i
\(609\) 14.3443 13.8756i 0.581260 0.562268i
\(610\) −2.89665 16.2332i −0.117282 0.657263i
\(611\) 22.0272 34.2751i 0.891127 1.38662i
\(612\) −15.2984 10.5656i −0.618400 0.427087i
\(613\) 0.700560 + 1.53401i 0.0282953 + 0.0619581i 0.923252 0.384195i \(-0.125521\pi\)
−0.894957 + 0.446153i \(0.852794\pi\)
\(614\) −12.3386 19.1992i −0.497944 0.774816i
\(615\) 22.8194 31.6002i 0.920167 1.27424i
\(616\) 0.679950 0.784704i 0.0273960 0.0316166i
\(617\) 8.90832 + 30.3390i 0.358636 + 1.22140i 0.919366 + 0.393402i \(0.128702\pi\)
−0.560731 + 0.827998i \(0.689480\pi\)
\(618\) −2.38880 4.55291i −0.0960915 0.183145i
\(619\) −11.5292 + 1.65765i −0.463399 + 0.0666267i −0.370060 0.929008i \(-0.620663\pi\)
−0.0933386 + 0.995634i \(0.529754\pi\)
\(620\) 6.28293 + 18.9987i 0.252328 + 0.763007i
\(621\) −8.21171 + 23.5280i −0.329525 + 0.944147i
\(622\) 7.25627i 0.290950i
\(623\) −2.56147 17.8154i −0.102623 0.713761i
\(624\) 7.01090 3.67845i 0.280661 0.147256i
\(625\) −0.191839 + 24.9993i −0.00767355 + 0.999971i
\(626\) 11.7474 13.5572i 0.469520 0.541855i
\(627\) 0.365519 + 0.505563i 0.0145974 + 0.0201902i
\(628\) −15.2966 + 9.83055i −0.610402 + 0.392282i
\(629\) 38.5610 17.6102i 1.53753 0.702165i
\(630\) 7.31545 + 2.14350i 0.291455 + 0.0853989i
\(631\) 19.1110 29.7372i 0.760795 1.18382i −0.217390 0.976085i \(-0.569754\pi\)
0.978185 0.207736i \(-0.0666094\pi\)
\(632\) −2.97614 0.427904i −0.118384 0.0170211i
\(633\) −19.8863 20.5580i −0.790410 0.817107i
\(634\) 11.2830 + 7.25113i 0.448104 + 0.287979i
\(635\) 28.6247 + 17.0582i 1.13594 + 0.676933i
\(636\) 0.606709 2.58181i 0.0240576 0.102375i
\(637\) −14.1078 21.9522i −0.558972 0.869777i
\(638\) 2.61014 8.88931i 0.103336 0.351931i
\(639\) −12.9445 + 26.0213i −0.512076 + 1.02939i
\(640\) 1.27175 + 1.83920i 0.0502705 + 0.0727006i
\(641\) 8.89291 19.4728i 0.351249 0.769128i −0.648718 0.761029i \(-0.724695\pi\)
0.999967 0.00809917i \(-0.00257807\pi\)
\(642\) −13.3836 + 23.5711i −0.528209 + 0.930276i
\(643\) −0.0334375 −0.00131865 −0.000659323 1.00000i \(-0.500210\pi\)
−0.000659323 1.00000i \(0.500210\pi\)
\(644\) −3.26431 4.36407i −0.128632 0.171969i
\(645\) −16.9987 6.00972i −0.669325 0.236633i
\(646\) 0.347678 + 2.41815i 0.0136792 + 0.0951410i
\(647\) 7.02734 15.3877i 0.276273 0.604954i −0.719732 0.694252i \(-0.755735\pi\)
0.996005 + 0.0892983i \(0.0284624\pi\)
\(648\) −6.33223 + 6.39553i −0.248754 + 0.251240i
\(649\) −3.63814 3.15247i −0.142809 0.123745i
\(650\) −7.90488 21.4447i −0.310055 0.841132i
\(651\) 1.54814 17.5458i 0.0606766 0.687675i
\(652\) 14.1585 6.46595i 0.554488 0.253226i
\(653\) −5.93377 6.84794i −0.232206 0.267980i 0.627674 0.778477i \(-0.284007\pi\)
−0.859880 + 0.510496i \(0.829462\pi\)
\(654\) 3.52545 + 9.95388i 0.137856 + 0.389227i
\(655\) 0.251119 + 1.40731i 0.00981204 + 0.0549880i
\(656\) −9.96168 1.43227i −0.388938 0.0559209i
\(657\) 14.8941 + 4.91612i 0.581074 + 0.191796i
\(658\) −6.63291 7.65479i −0.258578 0.298415i
\(659\) −8.20148 17.9587i −0.319484 0.699573i 0.679948 0.733260i \(-0.262002\pi\)
−0.999432 + 0.0336871i \(0.989275\pi\)
\(660\) 3.44447 0.811496i 0.134076 0.0315874i
\(661\) −6.37940 + 21.7262i −0.248130 + 0.845053i 0.737386 + 0.675471i \(0.236060\pi\)
−0.985516 + 0.169582i \(0.945758\pi\)
\(662\) −10.6386 + 12.2776i −0.413480 + 0.477181i
\(663\) 17.9081 45.6820i 0.695495 1.77414i
\(664\) 9.59000 + 4.37960i 0.372164 + 0.169962i
\(665\) −0.446643 0.896573i −0.0173201 0.0347676i
\(666\) −5.12435 19.8707i −0.198564 0.769972i
\(667\) −42.6705 23.3210i −1.65221 0.902992i
\(668\) −6.68528 −0.258661
\(669\) −9.13241 + 16.0839i −0.353079 + 0.621839i
\(670\) −13.7768 1.50790i −0.532243 0.0582551i
\(671\) 1.89832 + 6.46509i 0.0732839 + 0.249582i
\(672\) −0.386387 1.92996i −0.0149052 0.0744497i
\(673\) 11.5868 39.4612i 0.446640 1.52112i −0.361640 0.932318i \(-0.617783\pi\)
0.808280 0.588798i \(-0.200399\pi\)
\(674\) 2.00524 1.28869i 0.0772390 0.0496385i
\(675\) 15.9363 + 20.5192i 0.613387 + 0.789783i
\(676\) 5.16985 + 5.96632i 0.198840 + 0.229474i
\(677\) −3.54764 + 5.52023i −0.136347 + 0.212160i −0.902712 0.430245i \(-0.858427\pi\)
0.766365 + 0.642405i \(0.222063\pi\)
\(678\) 12.1357 11.7391i 0.466067 0.450839i
\(679\) −2.63805 + 18.3480i −0.101239 + 0.704133i
\(680\) 13.4208 + 3.45288i 0.514663 + 0.132412i
\(681\) −0.683162 12.4555i −0.0261788 0.477297i
\(682\) −3.39677 7.43789i −0.130069 0.284812i
\(683\) 12.3272 7.92223i 0.471688 0.303136i −0.283116 0.959086i \(-0.591368\pi\)
0.754804 + 0.655950i \(0.227732\pi\)
\(684\) 1.18195 + 0.0392707i 0.0451929 + 0.00150155i
\(685\) 9.14452 21.9576i 0.349394 0.838956i
\(686\) −13.8568 + 4.06872i −0.529054 + 0.155344i
\(687\) −22.6878 + 11.9037i −0.865594 + 0.454156i
\(688\) 0.662515 + 4.60789i 0.0252581 + 0.175674i
\(689\) 6.99926 0.266650
\(690\) −0.311921 18.5716i −0.0118746 0.707007i
\(691\) −12.8771 −0.489870 −0.244935 0.969540i \(-0.578767\pi\)
−0.244935 + 0.969540i \(0.578767\pi\)
\(692\) −2.76882 19.2576i −0.105255 0.732064i
\(693\) −3.06681 0.545443i −0.116499 0.0207196i
\(694\) −17.1892 + 5.04721i −0.652494 + 0.191590i
\(695\) 20.0856 + 8.36491i 0.761890 + 0.317299i
\(696\) −10.2897 14.2321i −0.390031 0.539467i
\(697\) −52.4702 + 33.7206i −1.98745 + 1.27726i
\(698\) 1.94327 + 4.25518i 0.0735540 + 0.161061i
\(699\) −13.0393 + 0.715183i −0.493193 + 0.0270507i
\(700\) −5.66890 + 0.383592i −0.214264 + 0.0144984i
\(701\) 5.60529 38.9857i 0.211709 1.47247i −0.555739 0.831357i \(-0.687564\pi\)
0.767448 0.641112i \(-0.221526\pi\)
\(702\) −20.2538 12.4071i −0.764431 0.468276i
\(703\) −1.45780 + 2.26838i −0.0549820 + 0.0855536i
\(704\) −0.598351 0.690534i −0.0225512 0.0260255i
\(705\) −3.05367 34.3854i −0.115008 1.29503i
\(706\) −0.171178 + 0.110009i −0.00644235 + 0.00414025i
\(707\) 2.01270 6.85462i 0.0756954 0.257795i
\(708\) −8.94789 + 1.79142i −0.336282 + 0.0673255i
\(709\) −12.9321 44.0427i −0.485676 1.65406i −0.729303 0.684191i \(-0.760155\pi\)
0.243627 0.969869i \(-0.421663\pi\)
\(710\) 2.35692 21.5338i 0.0884535 0.808148i
\(711\) 3.47261 + 8.32500i 0.130233 + 0.312212i
\(712\) −15.8387 −0.593580
\(713\) −41.9408 + 9.10693i −1.57069 + 0.341057i
\(714\) −9.64233 7.47119i −0.360855 0.279602i
\(715\) 4.16435 + 8.35934i 0.155738 + 0.312622i
\(716\) 4.09249 + 1.86898i 0.152944 + 0.0698470i
\(717\) −26.6195 10.4353i −0.994124 0.389714i
\(718\) 17.1471 19.7888i 0.639923 0.738510i
\(719\) −5.65708 + 19.2663i −0.210974 + 0.718510i 0.784211 + 0.620494i \(0.213068\pi\)
−0.995185 + 0.0980161i \(0.968750\pi\)
\(720\) 2.78322 6.10358i 0.103724 0.227467i
\(721\) −1.40131 3.06844i −0.0521875 0.114275i
\(722\) 12.3406 + 14.2418i 0.459269 + 0.530025i
\(723\) −4.98802 14.0834i −0.185507 0.523766i
\(724\) 14.7962 + 2.12737i 0.549897 + 0.0790632i
\(725\) −44.5893 + 24.1260i −1.65600 + 0.896015i
\(726\) 16.5963 5.87807i 0.615948 0.218156i
\(727\) −2.30834 2.66397i −0.0856116 0.0988010i 0.711327 0.702861i \(-0.248094\pi\)
−0.796939 + 0.604060i \(0.793549\pi\)
\(728\) 4.72501 2.15784i 0.175121 0.0799749i
\(729\) 26.2104 + 6.48192i 0.970755 + 0.240071i
\(730\) −11.6838 + 0.394848i −0.432438 + 0.0146140i
\(731\) 21.8039 + 18.8932i 0.806445 + 0.698789i
\(732\) 11.8917 + 4.66175i 0.439530 + 0.172303i
\(733\) 18.1318 39.7032i 0.669715 1.46647i −0.203470 0.979081i \(-0.565222\pi\)
0.873185 0.487389i \(-0.162051\pi\)
\(734\) 1.63714 + 11.3866i 0.0604279 + 0.420285i
\(735\) −20.8452 7.36958i −0.768885 0.271831i
\(736\) −4.21008 + 2.29679i −0.155185 + 0.0846610i
\(737\) 5.66312 0.208604
\(738\) 11.6234 + 27.8653i 0.427865 + 1.02574i
\(739\) 13.1449 28.7834i 0.483544 1.05881i −0.497930 0.867217i \(-0.665906\pi\)
0.981474 0.191596i \(-0.0613665\pi\)
\(740\) 8.69912 + 12.5806i 0.319786 + 0.462471i
\(741\) 0.612683 + 3.06028i 0.0225075 + 0.112422i
\(742\) 0.490222 1.66954i 0.0179966 0.0612908i
\(743\) −0.127897 0.199011i −0.00469208 0.00730102i 0.838900 0.544286i \(-0.183199\pi\)
−0.843592 + 0.536985i \(0.819563\pi\)
\(744\) −15.0892 3.54586i −0.553196 0.129998i
\(745\) 10.0036 16.7868i 0.366505 0.615019i
\(746\) 2.35082 + 1.51078i 0.0860695 + 0.0553135i
\(747\) −3.45909 31.4384i −0.126561 1.15027i
\(748\) −5.60499 0.805875i −0.204939 0.0294657i
\(749\) −9.61455 + 14.9605i −0.351308 + 0.546646i
\(750\) −16.4290 10.2513i −0.599902 0.374323i
\(751\) −12.8333 + 5.86078i −0.468295 + 0.213863i −0.635564 0.772048i \(-0.719232\pi\)
0.167269 + 0.985911i \(0.446505\pi\)
\(752\) −7.49828 + 4.81885i −0.273434 + 0.175725i
\(753\) 35.3500 25.5579i 1.28823 0.931380i
\(754\) 30.3518 35.0279i 1.10535 1.27564i
\(755\) 3.01460 + 4.35967i 0.109712 + 0.158665i
\(756\) −4.37805 + 3.96219i −0.159228 + 0.144104i
\(757\) 6.72746 + 46.7905i 0.244514 + 1.70063i 0.628924 + 0.777467i \(0.283496\pi\)
−0.384410 + 0.923162i \(0.625595\pi\)
\(758\) 0.212282i 0.00771042i
\(759\) 0.952376 + 7.52984i 0.0345691 + 0.273316i
\(760\) −0.836883 + 0.276759i −0.0303569 + 0.0100391i
\(761\) −0.151958 + 0.0218482i −0.00550846 + 0.000791997i −0.145069 0.989422i \(-0.546340\pi\)
0.139560 + 0.990214i \(0.455431\pi\)
\(762\) −22.8562 + 11.9921i −0.827991 + 0.434426i
\(763\) 1.95187 + 6.64746i 0.0706625 + 0.240654i
\(764\) 5.19023 5.98985i 0.187776 0.216705i
\(765\) −11.7353 39.8828i −0.424290 1.44197i
\(766\) 16.9460 + 26.3686i 0.612285 + 0.952735i
\(767\) −10.0044 21.9067i −0.361240 0.791004i
\(768\) −1.72945 + 0.0948572i −0.0624062 + 0.00342286i
\(769\) 18.3873 28.6113i 0.663064 1.03175i −0.332984 0.942933i \(-0.608055\pi\)
0.996048 0.0888156i \(-0.0283082\pi\)
\(770\) 2.28563 0.407848i 0.0823686 0.0146978i
\(771\) −15.6704 16.1997i −0.564356 0.583419i
\(772\) −4.27344 + 6.64960i −0.153804 + 0.239324i
\(773\) 7.91290 6.85656i 0.284607 0.246613i −0.500843 0.865538i \(-0.666977\pi\)
0.785451 + 0.618924i \(0.212431\pi\)
\(774\) 10.8525 8.79014i 0.390087 0.315955i
\(775\) −15.7976 + 41.8637i −0.567466 + 1.50379i
\(776\) 15.6514 + 4.59567i 0.561853 + 0.164975i
\(777\) −2.64299 13.2014i −0.0948167 0.473597i
\(778\) −17.4994 + 5.13829i −0.627385 + 0.184217i
\(779\) 1.64807 3.60876i 0.0590481 0.129297i
\(780\) 17.3611 + 3.46553i 0.621628 + 0.124086i
\(781\) 8.85174i 0.316740i
\(782\) −10.3973 + 27.8438i −0.371806 + 0.995693i
\(783\) −20.8476 + 48.3866i −0.745032 + 1.72920i
\(784\) 0.812427 + 5.65055i 0.0290152 + 0.201805i
\(785\) −40.4174 4.42377i −1.44256 0.157891i
\(786\) −1.03093 0.404141i −0.0367720 0.0144152i
\(787\) 16.1693 18.6604i 0.576375 0.665172i −0.390446 0.920626i \(-0.627679\pi\)
0.966821 + 0.255454i \(0.0822248\pi\)
\(788\) 4.86583 + 1.42874i 0.173338 + 0.0508967i
\(789\) 31.3866 + 2.76937i 1.11739 + 0.0985923i
\(790\) −4.57192 4.92951i −0.162662 0.175384i
\(791\) 8.37187 7.25427i 0.297669 0.257932i
\(792\) −0.859176 + 2.60299i −0.0305295 + 0.0924934i
\(793\) −4.79725 + 33.3656i −0.170355 + 1.18485i
\(794\) 18.2742 + 2.62744i 0.648528 + 0.0932442i
\(795\) 4.68576 3.63494i 0.166187 0.128918i
\(796\) 9.06852 7.85792i 0.321425 0.278517i
\(797\) 34.0423 15.5466i 1.20584 0.550690i 0.291866 0.956459i \(-0.405724\pi\)
0.913975 + 0.405770i \(0.132996\pi\)
\(798\) 0.772884 + 0.0681949i 0.0273598 + 0.00241407i
\(799\) −15.5626 + 53.0013i −0.550565 + 1.87505i
\(800\) −0.375828 + 4.98586i −0.0132875 + 0.176277i
\(801\) 24.3476 + 40.8041i 0.860279 + 1.44174i
\(802\) 0.104029 0.227791i 0.00367339 0.00804359i
\(803\) 4.72838 0.679839i 0.166861 0.0239910i
\(804\) 6.57517 8.48593i 0.231888 0.299276i
\(805\) 0.462956 12.1774i 0.0163170 0.429198i
\(806\) 40.9066i 1.44087i
\(807\) 8.92839 15.7246i 0.314294 0.553531i
\(808\) −5.71856 2.61158i −0.201178 0.0918751i
\(809\) 14.3704 + 48.9410i 0.505236 + 1.72067i 0.677408 + 0.735608i \(0.263103\pi\)
−0.172172 + 0.985067i \(0.555079\pi\)
\(810\) −20.0026 + 2.21234i −0.702821 + 0.0777338i
\(811\) 15.6209 + 4.58672i 0.548526 + 0.161062i 0.544241 0.838929i \(-0.316818\pi\)
0.00428497 + 0.999991i \(0.498636\pi\)
\(812\) −6.22943 9.69319i −0.218610 0.340164i
\(813\) 1.45359 + 0.341585i 0.0509796 + 0.0119799i
\(814\) −4.09288 4.72343i −0.143455 0.165556i
\(815\) 33.7068 + 8.67205i 1.18070 + 0.303769i
\(816\) −7.71524 + 7.46316i −0.270087 + 0.261263i
\(817\) −1.81643 0.261164i −0.0635489 0.00913696i
\(818\) −13.3986 8.61078i −0.468472 0.301069i
\(819\) −12.8225 8.85564i −0.448054 0.309441i
\(820\) −15.3030 16.5000i −0.534405 0.576204i
\(821\) −17.1371 26.6659i −0.598089 0.930645i −0.999889 0.0149175i \(-0.995251\pi\)
0.401799 0.915728i \(-0.368385\pi\)
\(822\) 10.7948 + 14.9307i 0.376512 + 0.520769i
\(823\) 31.0843 + 26.9347i 1.08353 + 0.938883i 0.998347 0.0574820i \(-0.0183072\pi\)
0.0851826 + 0.996365i \(0.472853\pi\)
\(824\) −2.84822 + 0.836313i −0.0992224 + 0.0291343i
\(825\) 7.12917 + 3.43361i 0.248206 + 0.119543i
\(826\) −5.92614 + 0.852050i −0.206197 + 0.0296466i
\(827\) 2.35399i 0.0818562i 0.999162 + 0.0409281i \(0.0130315\pi\)
−0.999162 + 0.0409281i \(0.986969\pi\)
\(828\) 12.3889 + 7.31543i 0.430543 + 0.254229i
\(829\) 6.73659 0.233971 0.116986 0.993134i \(-0.462677\pi\)
0.116986 + 0.993134i \(0.462677\pi\)
\(830\) 10.5118 + 21.1009i 0.364869 + 0.732422i
\(831\) −20.6056 + 10.8112i −0.714800 + 0.375038i
\(832\) −1.28782 4.38590i −0.0446470 0.152054i
\(833\) 26.7376 + 23.1682i 0.926402 + 0.802732i
\(834\) −13.6578 + 9.87451i −0.472931 + 0.341926i
\(835\) −11.6217 9.40218i −0.402185 0.325376i
\(836\) 0.327635 0.149626i 0.0113315 0.00517492i
\(837\) 14.0604 + 44.3239i 0.486000 + 1.53206i
\(838\) 13.4019 + 8.61288i 0.462961 + 0.297527i
\(839\) −4.56948 + 31.7814i −0.157756 + 1.09722i 0.745000 + 0.667064i \(0.232449\pi\)
−0.902756 + 0.430152i \(0.858460\pi\)
\(840\) 2.04260 3.89845i 0.0704763 0.134509i
\(841\) −62.0934 39.9050i −2.14115 1.37603i
\(842\) −14.0287 + 12.1559i −0.483461 + 0.418921i
\(843\) 22.3107 + 5.24288i 0.768422 + 0.180574i
\(844\) −13.8921 + 8.92793i −0.478187 + 0.307312i
\(845\) 0.596225 + 17.6427i 0.0205108 + 0.606928i
\(846\) 23.9410 + 11.9096i 0.823107 + 0.409462i
\(847\) 11.0835 3.25440i 0.380833 0.111823i
\(848\) −1.39284 0.636088i −0.0478303 0.0218434i
\(849\) 45.4200 + 25.7894i 1.55881 + 0.885091i
\(850\) 18.4745 + 24.8775i 0.633671 + 0.853290i
\(851\) −28.7980 + 15.7107i −0.987183 + 0.538554i
\(852\) 13.2639 + 10.2773i 0.454415 + 0.352095i
\(853\) 13.5062 1.94190i 0.462443 0.0664893i 0.0928442 0.995681i \(-0.470404\pi\)
0.369599 + 0.929191i \(0.379495\pi\)
\(854\) 7.62275 + 3.48119i 0.260845 + 0.119124i
\(855\) 1.99947 + 1.73056i 0.0683804 + 0.0591840i
\(856\) 11.8271 + 10.2482i 0.404241 + 0.350277i
\(857\) −53.4127 15.6834i −1.82454 0.535734i −0.824976 0.565168i \(-0.808811\pi\)
−0.999567 + 0.0294339i \(0.990630\pi\)
\(858\) −7.20611 0.635826i −0.246012 0.0217067i
\(859\) −24.1175 52.8099i −0.822878 1.80185i −0.536988 0.843590i \(-0.680438\pi\)
−0.285890 0.958262i \(-0.592289\pi\)
\(860\) −5.32883 + 8.94212i −0.181712 + 0.304924i
\(861\) 6.61329 + 18.6722i 0.225380 + 0.636347i
\(862\) 0.991279 6.89450i 0.0337631 0.234827i
\(863\) 4.34944 30.2510i 0.148057 1.02976i −0.771339 0.636424i \(-0.780413\pi\)
0.919396 0.393333i \(-0.128678\pi\)
\(864\) 2.90292 + 4.30964i 0.0987594 + 0.146617i
\(865\) 22.2706 37.3715i 0.757222 1.27067i
\(866\) 11.4924 + 25.1648i 0.390527 + 0.855134i
\(867\) −3.25903 + 36.9361i −0.110682 + 1.25441i
\(868\) −9.75751 2.86506i −0.331192 0.0972466i
\(869\) 2.07626 + 1.79909i 0.0704323 + 0.0610299i
\(870\) 2.12839 39.2126i 0.0721591 1.32943i
\(871\) 25.7710 + 11.7692i 0.873216 + 0.398784i
\(872\) 6.03462 0.867648i 0.204358 0.0293823i
\(873\) −12.2202 47.3862i −0.413591 1.60378i
\(874\) −0.401155 1.84747i −0.0135693 0.0624915i
\(875\) −10.3943 7.30591i −0.351392 0.246985i
\(876\) 4.47118 7.87459i 0.151067 0.266058i
\(877\) −30.7409 14.0389i −1.03805 0.474060i −0.177868 0.984054i \(-0.556920\pi\)
−0.860178 + 0.509995i \(0.829647\pi\)
\(878\) −11.2990 + 3.31769i −0.381323 + 0.111967i
\(879\) 12.7830 2.55923i 0.431160 0.0863206i
\(880\) −0.0690063 2.04195i −0.00232620 0.0688340i
\(881\) −0.650801 + 0.418244i −0.0219260 + 0.0140910i −0.551558 0.834137i \(-0.685966\pi\)
0.529632 + 0.848228i \(0.322330\pi\)
\(882\) 13.3082 10.7791i 0.448111 0.362953i
\(883\) 18.4893 16.0211i 0.622216 0.539153i −0.285693 0.958321i \(-0.592224\pi\)
0.907909 + 0.419168i \(0.137678\pi\)
\(884\) −23.8316 15.3157i −0.801545 0.515122i
\(885\) −18.0745 9.47013i −0.607567 0.318335i
\(886\) 3.81148 26.5094i 0.128049 0.890601i
\(887\) −11.6648 7.49653i −0.391667 0.251709i 0.329955 0.943997i \(-0.392966\pi\)
−0.721621 + 0.692288i \(0.756603\pi\)
\(888\) −11.8299 + 0.648847i −0.396985 + 0.0217739i
\(889\) −15.4040 + 7.03476i −0.516632 + 0.235938i
\(890\) −27.5340 22.2755i −0.922941 0.746678i
\(891\) 8.02665 1.78795i 0.268903 0.0598984i
\(892\) 8.07029 + 6.99294i 0.270213 + 0.234141i
\(893\) −0.989894 3.37127i −0.0331255 0.112815i
\(894\) 7.03266 + 13.4038i 0.235207 + 0.448291i
\(895\) 4.48586 + 9.00471i 0.149946 + 0.300994i
\(896\) −1.13637 −0.0379635
\(897\) −11.3147 + 36.2450i −0.377787 + 1.21019i
\(898\) 20.4313i 0.681801i
\(899\) −89.8157 + 12.9136i −2.99552 + 0.430691i
\(900\) 13.4224 6.69614i 0.447414 0.223205i
\(901\) −9.10515 + 2.67351i −0.303337 + 0.0890676i
\(902\) 6.94962 + 6.02188i 0.231397 + 0.200507i
\(903\) 7.42535 5.36848i 0.247100 0.178652i
\(904\) −5.27027 8.20070i −0.175286 0.272751i
\(905\) 22.7298 + 24.5076i 0.755564 + 0.814661i
\(906\) −4.09953 + 0.224852i −0.136198 + 0.00747020i
\(907\) −19.1321 12.2955i −0.635272 0.408265i 0.182986 0.983116i \(-0.441424\pi\)
−0.818258 + 0.574851i \(0.805060\pi\)
\(908\) −7.12870 1.02495i −0.236574 0.0340142i
\(909\) 2.06267 + 18.7469i 0.0684145 + 0.621795i
\(910\) 11.2488 + 2.89407i 0.372893 + 0.0959375i
\(911\) 10.0730 + 11.6248i 0.333732 + 0.385147i 0.897669 0.440671i \(-0.145259\pi\)
−0.563937 + 0.825818i \(0.690714\pi\)
\(912\) 0.156193 0.664669i 0.00517207 0.0220094i
\(913\) −5.20798 8.10377i −0.172359 0.268196i
\(914\) −9.59833 2.81833i −0.317485 0.0932219i
\(915\) 14.1162 + 24.8285i 0.466669 + 0.820804i
\(916\) 4.16747 + 14.1931i 0.137697 + 0.468953i
\(917\) −0.660840 0.301796i −0.0218229 0.00996617i
\(918\) 31.0868 + 8.40370i 1.02602 + 0.277363i
\(919\) 59.0770i 1.94877i 0.224883 + 0.974386i \(0.427800\pi\)
−0.224883 + 0.974386i \(0.572200\pi\)
\(920\) −10.5490 1.92831i −0.347791 0.0635744i
\(921\) 31.2469 + 24.2111i 1.02962 + 0.797783i
\(922\) −16.9236 + 2.43324i −0.557348 + 0.0801345i
\(923\) −18.3959 + 40.2813i −0.605507 + 1.32588i
\(924\) −0.656374 + 1.67435i −0.0215931 + 0.0550821i
\(925\) −2.57076 + 34.1045i −0.0845262 + 1.12135i
\(926\) −2.25974 + 7.69597i −0.0742597 + 0.252905i
\(927\) 6.53288 + 6.05206i 0.214568 + 0.198776i
\(928\) −9.22326 + 4.21212i −0.302768 + 0.138270i
\(929\) 26.3421 22.8255i 0.864255 0.748881i −0.105122 0.994459i \(-0.533523\pi\)
0.969377 + 0.245578i \(0.0789779\pi\)
\(930\) −21.2441 27.3855i −0.696622 0.898007i
\(931\) −2.22745 0.320259i −0.0730017 0.0104961i
\(932\) −1.07299 + 7.46284i −0.0351471 + 0.244453i
\(933\) 4.19599 + 11.8471i 0.137371 + 0.387857i
\(934\) −17.7055 + 15.3419i −0.579343 + 0.502004i
\(935\) −8.61033 9.28379i −0.281588 0.303612i
\(936\) −9.31942 + 10.0598i −0.304615 + 0.328815i
\(937\) 32.7334 + 9.61140i 1.06935 + 0.313991i 0.768612 0.639715i \(-0.220948\pi\)
0.300742 + 0.953706i \(0.402766\pi\)
\(938\) 4.61230 5.32288i 0.150597 0.173798i
\(939\) −11.3401 + 28.9275i −0.370069 + 0.944013i
\(940\) −19.8122 2.16849i −0.646204 0.0707284i
\(941\) −1.68379 11.7110i −0.0548901 0.381769i −0.998686 0.0512410i \(-0.983682\pi\)
0.943796 0.330528i \(-0.107227\pi\)
\(942\) 19.2898 24.8955i 0.628495 0.811138i
\(943\) 38.6498 28.9099i 1.25861 0.941436i
\(944\) 5.26859i 0.171478i
\(945\) −13.1832 + 0.730590i −0.428850 + 0.0237661i
\(946\) 1.76699 3.86918i 0.0574499 0.125798i
\(947\) 9.93189 2.91627i 0.322743 0.0947659i −0.116348 0.993209i \(-0.537119\pi\)
0.439091 + 0.898443i \(0.355301\pi\)
\(948\) 5.10650 1.02235i 0.165851 0.0332043i
\(949\) 22.9301 + 6.73290i 0.744344 + 0.218559i
\(950\) −1.84407 0.695875i −0.0598296 0.0225772i
\(951\) −22.6144 5.31425i −0.733323 0.172326i
\(952\) −5.32242 + 4.61190i −0.172501 + 0.149473i
\(953\) 6.10662 9.50209i 0.197813 0.307803i −0.728150 0.685418i \(-0.759619\pi\)
0.925963 + 0.377615i \(0.123256\pi\)
\(954\) 0.502393 + 4.56608i 0.0162656 + 0.147832i
\(955\) 17.4468 3.11321i 0.564566 0.100741i
\(956\) −8.92464 + 13.8870i −0.288644 + 0.449138i
\(957\) 0.878813 + 16.0227i 0.0284080 + 0.517939i
\(958\) 16.9545 + 37.1251i 0.547774 + 1.19946i
\(959\) 6.53521 + 10.1690i 0.211033 + 0.328374i
\(960\) −3.13989 2.26740i −0.101339 0.0731801i
\(961\) −32.1441 + 37.0963i −1.03691 + 1.19665i
\(962\) −8.80899 30.0007i −0.284013 0.967260i
\(963\) 8.22091 46.2230i 0.264915 1.48952i
\(964\) −8.53816 + 1.22760i −0.274995 + 0.0395384i
\(965\) −16.7810 + 5.54950i −0.540198 + 0.178645i
\(966\) 7.85311 + 5.23749i 0.252670 + 0.168513i
\(967\) 10.2820i 0.330648i 0.986239 + 0.165324i \(0.0528670\pi\)
−0.986239 + 0.165324i \(0.947133\pi\)
\(968\) −1.44665 10.0617i −0.0464971 0.323394i
\(969\) −1.96596 3.74701i −0.0631557 0.120371i
\(970\) 20.7451 + 30.0013i 0.666085 + 0.963284i
\(971\) 4.37615 5.05034i 0.140437 0.162073i −0.681174 0.732122i \(-0.738530\pi\)
0.821611 + 0.570049i \(0.193076\pi\)
\(972\) 6.64019 14.1035i 0.212984 0.452369i
\(973\) −9.30204 + 5.97806i −0.298210 + 0.191648i
\(974\) −11.0739 + 5.05727i −0.354830 + 0.162046i
\(975\) 25.3067 + 30.4412i 0.810462 + 0.974898i
\(976\) 3.98689 6.20372i 0.127617 0.198576i
\(977\) 13.1747 + 1.89423i 0.421495 + 0.0606018i 0.349799 0.936825i \(-0.386250\pi\)
0.0716956 + 0.997427i \(0.477159\pi\)
\(978\) −19.3771 + 18.7440i −0.619612 + 0.599367i
\(979\) 12.1746 + 7.82412i 0.389101 + 0.250060i
\(980\) −6.53462 + 10.9655i −0.208741 + 0.350281i
\(981\) −11.5118 14.2128i −0.367544 0.453780i
\(982\) −2.72651 4.24254i −0.0870065 0.135385i
\(983\) 10.7746 36.6949i 0.343656 1.17039i −0.588551 0.808460i \(-0.700301\pi\)
0.932207 0.361925i \(-0.117880\pi\)
\(984\) 17.0924 3.42198i 0.544885 0.109089i
\(985\) 6.44939 + 9.32703i 0.205495 + 0.297184i
\(986\) −26.1043 + 57.1603i −0.831329 + 1.82036i
\(987\) 15.2558 + 8.66223i 0.485598 + 0.275722i
\(988\) 1.80191 0.0573265
\(989\) −17.8677 13.3862i −0.568161 0.425657i
\(990\) −5.15444 + 3.31670i −0.163819 + 0.105412i
\(991\) −0.955695 6.64700i −0.0303587 0.211149i 0.968996 0.247078i \(-0.0794702\pi\)
−0.999354 + 0.0359285i \(0.988561\pi\)
\(992\) −3.71757 + 8.14034i −0.118033 + 0.258456i
\(993\) 10.2697 26.1971i 0.325899 0.831338i
\(994\) 8.31993 + 7.20926i 0.263892 + 0.228664i
\(995\) 26.8161 0.906233i 0.850128 0.0287295i
\(996\) −18.1899 1.60497i −0.576368 0.0508554i
\(997\) −3.18421 + 1.45418i −0.100845 + 0.0460544i −0.465199 0.885206i \(-0.654017\pi\)
0.364354 + 0.931261i \(0.381290\pi\)
\(998\) −22.8771 26.4016i −0.724163 0.835728i
\(999\) 19.8567 + 29.4791i 0.628239 + 0.932677i
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 690.2.n.b.89.8 yes 240
3.2 odd 2 690.2.n.a.89.1 240
5.4 even 2 690.2.n.a.89.17 yes 240
15.14 odd 2 inner 690.2.n.b.89.24 yes 240
23.15 odd 22 inner 690.2.n.b.659.24 yes 240
69.38 even 22 690.2.n.a.659.17 yes 240
115.84 odd 22 690.2.n.a.659.1 yes 240
345.314 even 22 inner 690.2.n.b.659.8 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.n.a.89.1 240 3.2 odd 2
690.2.n.a.89.17 yes 240 5.4 even 2
690.2.n.a.659.1 yes 240 115.84 odd 22
690.2.n.a.659.17 yes 240 69.38 even 22
690.2.n.b.89.8 yes 240 1.1 even 1 trivial
690.2.n.b.89.24 yes 240 15.14 odd 2 inner
690.2.n.b.659.8 yes 240 345.314 even 22 inner
690.2.n.b.659.24 yes 240 23.15 odd 22 inner