Properties

Label 378.2.bf.a.5.18
Level $378$
Weight $2$
Character 378.5
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(5,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 5.18
Character \(\chi\) \(=\) 378.5
Dual form 378.2.bf.a.227.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(0.228430 - 1.71692i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.0564431 - 0.320105i) q^{5} +(-0.0731809 - 1.73050i) q^{6} +(-0.543232 - 2.58938i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.89564 - 0.784392i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(0.228430 - 1.71692i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.0564431 - 0.320105i) q^{5} +(-0.0731809 - 1.73050i) q^{6} +(-0.543232 - 2.58938i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.89564 - 0.784392i) q^{9} -0.325043i q^{10} +(1.60913 - 0.283733i) q^{11} +(-0.372568 - 1.69151i) q^{12} +(-2.07373 + 2.47138i) q^{13} +(-0.984620 - 2.45571i) q^{14} +(-0.536702 - 0.170030i) q^{15} +(0.766044 - 0.642788i) q^{16} +0.313516 q^{17} +(-2.98786 - 0.269653i) q^{18} +1.74118i q^{19} +(-0.0564431 - 0.320105i) q^{20} +(-4.56986 + 0.341194i) q^{21} +(1.53541 - 0.558844i) q^{22} +(4.43324 - 5.28334i) q^{23} +(-0.660635 - 1.60111i) q^{24} +(4.59918 + 1.67397i) q^{25} +(-1.61308 + 2.79393i) q^{26} +(-2.00819 + 4.79241i) q^{27} +(-1.39609 - 2.24743i) q^{28} +(0.220617 + 0.262921i) q^{29} +(-0.558073 - 0.0742495i) q^{30} +(0.634301 + 1.74273i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-0.119574 - 2.82756i) q^{33} +(0.308753 - 0.0544415i) q^{34} +(-0.859536 + 0.0277382i) q^{35} +(-2.98929 + 0.253280i) q^{36} +(2.64735 + 4.58534i) q^{37} +(0.302353 + 1.71473i) q^{38} +(3.76946 + 4.12497i) q^{39} +(-0.111171 - 0.305441i) q^{40} +(-6.56308 - 5.50708i) q^{41} +(-4.44118 + 1.12956i) q^{42} +(5.49590 + 2.00034i) q^{43} +(1.41504 - 0.816976i) q^{44} +(-0.414527 + 0.882635i) q^{45} +(3.44845 - 5.97289i) q^{46} +(-1.94754 - 0.708847i) q^{47} +(-0.928629 - 1.46207i) q^{48} +(-6.40980 + 2.81327i) q^{49} +(4.81999 + 0.849894i) q^{50} +(0.0716164 - 0.538282i) q^{51} +(-1.10341 + 3.03159i) q^{52} +(-0.815750 + 0.470974i) q^{53} +(-1.14549 + 5.06832i) q^{54} -0.531105i q^{55} +(-1.76514 - 1.97085i) q^{56} +(2.98948 + 0.397738i) q^{57} +(0.262921 + 0.220617i) q^{58} +(8.03661 + 6.74351i) q^{59} +(-0.562488 + 0.0237869i) q^{60} +(1.47861 - 4.06244i) q^{61} +(0.927286 + 1.60611i) q^{62} +(-0.458088 + 7.92402i) q^{63} +(0.500000 - 0.866025i) q^{64} +(0.674052 + 0.803303i) q^{65} +(-0.608758 - 2.76384i) q^{66} +(-1.76397 + 10.0040i) q^{67} +(0.294609 - 0.107229i) q^{68} +(-8.05839 - 8.81841i) q^{69} +(-0.841661 + 0.176574i) q^{70} +(1.90225 + 1.09826i) q^{71} +(-2.89989 + 0.768516i) q^{72} +(8.18403 + 4.72505i) q^{73} +(3.40336 + 4.05597i) q^{74} +(3.92466 - 7.51405i) q^{75} +(0.595520 + 1.63618i) q^{76} +(-1.60882 - 4.01252i) q^{77} +(4.42848 + 3.40774i) q^{78} +(1.42738 + 8.09509i) q^{79} +(-0.162522 - 0.281496i) q^{80} +(7.76946 + 4.54263i) q^{81} +(-7.41967 - 4.28375i) q^{82} +(6.78095 - 5.68989i) q^{83} +(-4.17757 + 1.88360i) q^{84} +(0.0176958 - 0.100358i) q^{85} +(5.75976 + 1.01560i) q^{86} +(0.501810 - 0.318723i) q^{87} +(1.25168 - 1.05028i) q^{88} -2.43599 q^{89} +(-0.254961 + 0.941208i) q^{90} +(7.52585 + 4.02715i) q^{91} +(2.35888 - 6.48097i) q^{92} +(3.13702 - 0.690954i) q^{93} +(-2.04104 - 0.359891i) q^{94} +(0.557362 + 0.0982779i) q^{95} +(-1.16841 - 1.27860i) q^{96} +(-5.41579 + 14.8798i) q^{97} +(-5.82390 + 3.88358i) q^{98} +(-4.88201 - 0.440600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) 0.228430 1.71692i 0.131884 0.991265i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.0564431 0.320105i 0.0252421 0.143155i −0.969582 0.244767i \(-0.921289\pi\)
0.994824 + 0.101611i \(0.0323998\pi\)
\(6\) −0.0731809 1.73050i −0.0298760 0.706475i
\(7\) −0.543232 2.58938i −0.205322 0.978694i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −2.89564 0.784392i −0.965213 0.261464i
\(10\) 0.325043i 0.102788i
\(11\) 1.60913 0.283733i 0.485171 0.0855487i 0.0742878 0.997237i \(-0.476332\pi\)
0.410883 + 0.911688i \(0.365221\pi\)
\(12\) −0.372568 1.69151i −0.107551 0.488296i
\(13\) −2.07373 + 2.47138i −0.575149 + 0.685436i −0.972679 0.232153i \(-0.925423\pi\)
0.397530 + 0.917589i \(0.369867\pi\)
\(14\) −0.984620 2.45571i −0.263151 0.656317i
\(15\) −0.536702 0.170030i −0.138576 0.0439015i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.313516 0.0760388 0.0380194 0.999277i \(-0.487895\pi\)
0.0380194 + 0.999277i \(0.487895\pi\)
\(18\) −2.98786 0.269653i −0.704245 0.0635578i
\(19\) 1.74118i 0.399455i 0.979851 + 0.199728i \(0.0640057\pi\)
−0.979851 + 0.199728i \(0.935994\pi\)
\(20\) −0.0564431 0.320105i −0.0126211 0.0715776i
\(21\) −4.56986 + 0.341194i −0.997224 + 0.0744546i
\(22\) 1.53541 0.558844i 0.327351 0.119146i
\(23\) 4.43324 5.28334i 0.924395 1.10165i −0.0701696 0.997535i \(-0.522354\pi\)
0.994565 0.104117i \(-0.0332015\pi\)
\(24\) −0.660635 1.60111i −0.134852 0.326826i
\(25\) 4.59918 + 1.67397i 0.919836 + 0.334793i
\(26\) −1.61308 + 2.79393i −0.316350 + 0.547935i
\(27\) −2.00819 + 4.79241i −0.386476 + 0.922299i
\(28\) −1.39609 2.24743i −0.263836 0.424724i
\(29\) 0.220617 + 0.262921i 0.0409675 + 0.0488231i 0.786139 0.618050i \(-0.212077\pi\)
−0.745172 + 0.666873i \(0.767632\pi\)
\(30\) −0.558073 0.0742495i −0.101890 0.0135560i
\(31\) 0.634301 + 1.74273i 0.113924 + 0.313003i 0.983531 0.180742i \(-0.0578498\pi\)
−0.869607 + 0.493745i \(0.835628\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −0.119574 2.82756i −0.0208152 0.492215i
\(34\) 0.308753 0.0544415i 0.0529507 0.00933663i
\(35\) −0.859536 + 0.0277382i −0.145288 + 0.00468862i
\(36\) −2.98929 + 0.253280i −0.498215 + 0.0422133i
\(37\) 2.64735 + 4.58534i 0.435221 + 0.753825i 0.997314 0.0732493i \(-0.0233369\pi\)
−0.562093 + 0.827074i \(0.690004\pi\)
\(38\) 0.302353 + 1.71473i 0.0490482 + 0.278166i
\(39\) 3.76946 + 4.12497i 0.603596 + 0.660524i
\(40\) −0.111171 0.305441i −0.0175777 0.0482944i
\(41\) −6.56308 5.50708i −1.02498 0.860062i −0.0347361 0.999397i \(-0.511059\pi\)
−0.990245 + 0.139335i \(0.955504\pi\)
\(42\) −4.44118 + 1.12956i −0.685289 + 0.174295i
\(43\) 5.49590 + 2.00034i 0.838116 + 0.305049i 0.725186 0.688554i \(-0.241754\pi\)
0.112931 + 0.993603i \(0.463976\pi\)
\(44\) 1.41504 0.816976i 0.213326 0.123164i
\(45\) −0.414527 + 0.882635i −0.0617940 + 0.131575i
\(46\) 3.44845 5.97289i 0.508447 0.880655i
\(47\) −1.94754 0.708847i −0.284078 0.103396i 0.196051 0.980594i \(-0.437188\pi\)
−0.480129 + 0.877198i \(0.659410\pi\)
\(48\) −0.928629 1.46207i −0.134036 0.211032i
\(49\) −6.40980 + 2.81327i −0.915686 + 0.401895i
\(50\) 4.81999 + 0.849894i 0.681650 + 0.120193i
\(51\) 0.0716164 0.538282i 0.0100283 0.0753746i
\(52\) −1.10341 + 3.03159i −0.153015 + 0.420406i
\(53\) −0.815750 + 0.470974i −0.112052 + 0.0646932i −0.554979 0.831865i \(-0.687274\pi\)
0.442927 + 0.896558i \(0.353940\pi\)
\(54\) −1.14549 + 5.06832i −0.155881 + 0.689711i
\(55\) 0.531105i 0.0716142i
\(56\) −1.76514 1.97085i −0.235877 0.263367i
\(57\) 2.98948 + 0.397738i 0.395966 + 0.0526817i
\(58\) 0.262921 + 0.220617i 0.0345232 + 0.0289684i
\(59\) 8.03661 + 6.74351i 1.04628 + 0.877931i 0.992697 0.120633i \(-0.0384923\pi\)
0.0535800 + 0.998564i \(0.482937\pi\)
\(60\) −0.562488 + 0.0237869i −0.0726169 + 0.00307088i
\(61\) 1.47861 4.06244i 0.189316 0.520142i −0.808329 0.588731i \(-0.799628\pi\)
0.997645 + 0.0685893i \(0.0218498\pi\)
\(62\) 0.927286 + 1.60611i 0.117765 + 0.203976i
\(63\) −0.458088 + 7.92402i −0.0577137 + 0.998333i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 0.674052 + 0.803303i 0.0836058 + 0.0996375i
\(66\) −0.608758 2.76384i −0.0749330 0.340205i
\(67\) −1.76397 + 10.0040i −0.215503 + 1.22218i 0.664529 + 0.747263i \(0.268632\pi\)
−0.880032 + 0.474915i \(0.842479\pi\)
\(68\) 0.294609 0.107229i 0.0357265 0.0130034i
\(69\) −8.05839 8.81841i −0.970116 1.06161i
\(70\) −0.841661 + 0.176574i −0.100598 + 0.0211046i
\(71\) 1.90225 + 1.09826i 0.225755 + 0.130340i 0.608612 0.793468i \(-0.291727\pi\)
−0.382857 + 0.923808i \(0.625060\pi\)
\(72\) −2.89989 + 0.768516i −0.341756 + 0.0905705i
\(73\) 8.18403 + 4.72505i 0.957868 + 0.553026i 0.895516 0.445029i \(-0.146807\pi\)
0.0623520 + 0.998054i \(0.480140\pi\)
\(74\) 3.40336 + 4.05597i 0.395633 + 0.471497i
\(75\) 3.92466 7.51405i 0.453180 0.867648i
\(76\) 0.595520 + 1.63618i 0.0683108 + 0.187682i
\(77\) −1.60882 4.01252i −0.183342 0.457269i
\(78\) 4.42848 + 3.40774i 0.501427 + 0.385851i
\(79\) 1.42738 + 8.09509i 0.160593 + 0.910768i 0.953493 + 0.301416i \(0.0974593\pi\)
−0.792900 + 0.609352i \(0.791430\pi\)
\(80\) −0.162522 0.281496i −0.0181705 0.0314722i
\(81\) 7.76946 + 4.54263i 0.863273 + 0.504737i
\(82\) −7.41967 4.28375i −0.819365 0.473061i
\(83\) 6.78095 5.68989i 0.744306 0.624547i −0.189685 0.981845i \(-0.560747\pi\)
0.933990 + 0.357298i \(0.116302\pi\)
\(84\) −4.17757 + 1.88360i −0.455810 + 0.205518i
\(85\) 0.0176958 0.100358i 0.00191938 0.0108854i
\(86\) 5.75976 + 1.01560i 0.621090 + 0.109515i
\(87\) 0.501810 0.318723i 0.0537996 0.0341706i
\(88\) 1.25168 1.05028i 0.133430 0.111961i
\(89\) −2.43599 −0.258215 −0.129107 0.991631i \(-0.541211\pi\)
−0.129107 + 0.991631i \(0.541211\pi\)
\(90\) −0.254961 + 0.941208i −0.0268753 + 0.0992120i
\(91\) 7.52585 + 4.02715i 0.788924 + 0.422160i
\(92\) 2.35888 6.48097i 0.245930 0.675688i
\(93\) 3.13702 0.690954i 0.325294 0.0716486i
\(94\) −2.04104 0.359891i −0.210518 0.0371199i
\(95\) 0.557362 + 0.0982779i 0.0571841 + 0.0100831i
\(96\) −1.16841 1.27860i −0.119250 0.130497i
\(97\) −5.41579 + 14.8798i −0.549890 + 1.51081i 0.283970 + 0.958833i \(0.408349\pi\)
−0.833859 + 0.551977i \(0.813874\pi\)
\(98\) −5.82390 + 3.88358i −0.588303 + 0.392301i
\(99\) −4.88201 0.440600i −0.490661 0.0442819i
\(100\) 4.89435 0.489435
\(101\) −6.87330 + 5.76738i −0.683919 + 0.573876i −0.917148 0.398546i \(-0.869515\pi\)
0.233230 + 0.972422i \(0.425071\pi\)
\(102\) −0.0229434 0.542541i −0.00227173 0.0537195i
\(103\) −16.5234 2.91352i −1.62810 0.287078i −0.716324 0.697768i \(-0.754177\pi\)
−0.911775 + 0.410690i \(0.865288\pi\)
\(104\) −0.560215 + 3.17714i −0.0549336 + 0.311544i
\(105\) −0.148719 + 1.48209i −0.0145135 + 0.144637i
\(106\) −0.721573 + 0.605472i −0.0700854 + 0.0588086i
\(107\) 0.213488 + 0.123257i 0.0206387 + 0.0119157i 0.510284 0.860006i \(-0.329540\pi\)
−0.489645 + 0.871922i \(0.662874\pi\)
\(108\) −0.247981 + 5.19023i −0.0238620 + 0.499430i
\(109\) −6.82931 11.8287i −0.654130 1.13299i −0.982111 0.188302i \(-0.939702\pi\)
0.327982 0.944684i \(-0.393632\pi\)
\(110\) −0.0922254 0.523036i −0.00879334 0.0498695i
\(111\) 8.47740 3.49786i 0.804639 0.332002i
\(112\) −2.08056 1.63440i −0.196595 0.154436i
\(113\) −5.68165 15.6102i −0.534485 1.46849i −0.853681 0.520796i \(-0.825635\pi\)
0.319196 0.947689i \(-0.396587\pi\)
\(114\) 3.01313 0.127421i 0.282205 0.0119341i
\(115\) −1.44100 1.71731i −0.134374 0.160140i
\(116\) 0.297236 + 0.171609i 0.0275977 + 0.0159335i
\(117\) 7.94330 5.52960i 0.734359 0.511211i
\(118\) 9.08551 + 5.24552i 0.836389 + 0.482890i
\(119\) −0.170312 0.811812i −0.0156124 0.0744187i
\(120\) −0.549812 + 0.121101i −0.0501908 + 0.0110549i
\(121\) −7.82783 + 2.84910i −0.711621 + 0.259009i
\(122\) 0.750709 4.25748i 0.0679660 0.385454i
\(123\) −10.9544 + 10.0103i −0.987728 + 0.902600i
\(124\) 1.19210 + 1.42068i 0.107053 + 0.127581i
\(125\) 1.60804 2.78521i 0.143828 0.249117i
\(126\) 0.924864 + 7.88319i 0.0823934 + 0.702290i
\(127\) 6.06832 + 10.5106i 0.538476 + 0.932668i 0.998986 + 0.0450139i \(0.0143332\pi\)
−0.460510 + 0.887655i \(0.652333\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 4.68986 8.97908i 0.412919 0.790564i
\(130\) 0.803303 + 0.674052i 0.0704544 + 0.0591182i
\(131\) −12.7840 10.7270i −1.11694 0.937224i −0.118495 0.992955i \(-0.537807\pi\)
−0.998446 + 0.0557304i \(0.982251\pi\)
\(132\) −1.07945 2.61614i −0.0939537 0.227706i
\(133\) 4.50859 0.945866i 0.390944 0.0820170i
\(134\) 10.1583i 0.877542i
\(135\) 1.42072 + 0.913330i 0.122277 + 0.0786069i
\(136\) 0.271513 0.156758i 0.0232820 0.0134419i
\(137\) −2.92037 + 8.02365i −0.249504 + 0.685507i 0.750201 + 0.661210i \(0.229957\pi\)
−0.999705 + 0.0242966i \(0.992265\pi\)
\(138\) −9.46726 7.28511i −0.805907 0.620150i
\(139\) −14.0047 2.46940i −1.18786 0.209452i −0.455417 0.890278i \(-0.650510\pi\)
−0.732445 + 0.680826i \(0.761621\pi\)
\(140\) −0.798212 + 0.320044i −0.0674613 + 0.0270486i
\(141\) −1.66191 + 3.18186i −0.139958 + 0.267961i
\(142\) 2.06406 + 0.751256i 0.173212 + 0.0630440i
\(143\) −2.63569 + 4.56515i −0.220407 + 0.381757i
\(144\) −2.72239 + 1.26040i −0.226866 + 0.105034i
\(145\) 0.0966145 0.0557804i 0.00802340 0.00463231i
\(146\) 8.88019 + 3.23213i 0.734930 + 0.267493i
\(147\) 3.36597 + 11.6478i 0.277621 + 0.960691i
\(148\) 4.05597 + 3.40336i 0.333399 + 0.279755i
\(149\) −7.19436 19.7663i −0.589385 1.61932i −0.771632 0.636069i \(-0.780559\pi\)
0.182247 0.983253i \(-0.441663\pi\)
\(150\) 2.56023 8.08141i 0.209042 0.659844i
\(151\) −0.313052 1.77540i −0.0254758 0.144480i 0.969417 0.245421i \(-0.0789260\pi\)
−0.994892 + 0.100940i \(0.967815\pi\)
\(152\) 0.870592 + 1.50791i 0.0706143 + 0.122308i
\(153\) −0.907829 0.245919i −0.0733936 0.0198814i
\(154\) −2.28115 3.67219i −0.183820 0.295913i
\(155\) 0.593658 0.104678i 0.0476837 0.00840793i
\(156\) 4.95295 + 2.58697i 0.396554 + 0.207124i
\(157\) 3.95854 4.71761i 0.315926 0.376506i −0.584590 0.811329i \(-0.698745\pi\)
0.900516 + 0.434823i \(0.143189\pi\)
\(158\) 2.81139 + 7.72424i 0.223663 + 0.614508i
\(159\) 0.622283 + 1.50816i 0.0493503 + 0.119605i
\(160\) −0.208934 0.248997i −0.0165177 0.0196850i
\(161\) −16.0889 8.60929i −1.26798 0.678507i
\(162\) 8.44024 + 3.12447i 0.663128 + 0.245481i
\(163\) 10.1368 17.5575i 0.793978 1.37521i −0.129508 0.991578i \(-0.541340\pi\)
0.923486 0.383632i \(-0.125327\pi\)
\(164\) −8.05081 2.93026i −0.628663 0.228815i
\(165\) −0.911865 0.121320i −0.0709886 0.00944476i
\(166\) 5.68989 6.78095i 0.441621 0.526304i
\(167\) 16.8051 6.11654i 1.30041 0.473312i 0.403283 0.915076i \(-0.367869\pi\)
0.897132 + 0.441763i \(0.145647\pi\)
\(168\) −3.78701 + 2.58041i −0.292175 + 0.199083i
\(169\) 0.450087 + 2.55257i 0.0346221 + 0.196351i
\(170\) 0.101906i 0.00781585i
\(171\) 1.36577 5.04184i 0.104443 0.385559i
\(172\) 5.84861 0.445952
\(173\) 8.74377 7.33689i 0.664777 0.557814i −0.246738 0.969082i \(-0.579359\pi\)
0.911514 + 0.411269i \(0.134914\pi\)
\(174\) 0.438840 0.401019i 0.0332684 0.0304012i
\(175\) 1.83612 12.8184i 0.138797 0.968979i
\(176\) 1.05028 1.25168i 0.0791681 0.0943489i
\(177\) 13.4139 12.2578i 1.00825 0.921353i
\(178\) −2.39898 + 0.423005i −0.179811 + 0.0317056i
\(179\) 22.9130i 1.71260i 0.516481 + 0.856298i \(0.327242\pi\)
−0.516481 + 0.856298i \(0.672758\pi\)
\(180\) −0.0876488 + 0.971182i −0.00653296 + 0.0723876i
\(181\) −12.5658 + 7.25486i −0.934008 + 0.539250i −0.888077 0.459695i \(-0.847959\pi\)
−0.0459309 + 0.998945i \(0.514625\pi\)
\(182\) 8.11082 + 2.65912i 0.601214 + 0.197107i
\(183\) −6.63713 3.46664i −0.490631 0.256261i
\(184\) 1.19763 6.79213i 0.0882908 0.500722i
\(185\) 1.61721 0.588618i 0.118900 0.0432760i
\(186\) 2.96938 1.22520i 0.217725 0.0898357i
\(187\) 0.504487 0.0889547i 0.0368918 0.00650501i
\(188\) −2.07253 −0.151155
\(189\) 13.5003 + 2.59658i 0.982001 + 0.188874i
\(190\) 0.565960 0.0410590
\(191\) 0.723250 0.127528i 0.0523325 0.00922763i −0.147421 0.989074i \(-0.547097\pi\)
0.199753 + 0.979846i \(0.435986\pi\)
\(192\) −1.37268 1.05629i −0.0990649 0.0762309i
\(193\) −20.5277 + 7.47149i −1.47762 + 0.537809i −0.950158 0.311770i \(-0.899078\pi\)
−0.527461 + 0.849579i \(0.676856\pi\)
\(194\) −2.74967 + 15.5941i −0.197415 + 1.11959i
\(195\) 1.53318 0.973795i 0.109793 0.0697349i
\(196\) −5.06105 + 4.83589i −0.361503 + 0.345421i
\(197\) 9.69955 5.60004i 0.691064 0.398986i −0.112946 0.993601i \(-0.536029\pi\)
0.804011 + 0.594615i \(0.202696\pi\)
\(198\) −4.88435 + 0.413847i −0.347116 + 0.0294108i
\(199\) 11.3123i 0.801907i −0.916098 0.400954i \(-0.868679\pi\)
0.916098 0.400954i \(-0.131321\pi\)
\(200\) 4.81999 0.849894i 0.340825 0.0600966i
\(201\) 16.7731 + 5.31379i 1.18308 + 0.374806i
\(202\) −5.76738 + 6.87330i −0.405791 + 0.483603i
\(203\) 0.560956 0.714087i 0.0393714 0.0501191i
\(204\) −0.116806 0.530314i −0.00817805 0.0371294i
\(205\) −2.13328 + 1.79004i −0.148995 + 0.125022i
\(206\) −16.7783 −1.16900
\(207\) −16.9813 + 11.8212i −1.18028 + 0.821633i
\(208\) 3.22615i 0.223693i
\(209\) 0.494031 + 2.80179i 0.0341728 + 0.193804i
\(210\) 0.110903 + 1.48540i 0.00765301 + 0.102502i
\(211\) 15.0369 5.47299i 1.03518 0.376776i 0.232132 0.972684i \(-0.425430\pi\)
0.803053 + 0.595908i \(0.203208\pi\)
\(212\) −0.605472 + 0.721573i −0.0415840 + 0.0495579i
\(213\) 2.32016 3.01513i 0.158975 0.206594i
\(214\) 0.231648 + 0.0843130i 0.0158351 + 0.00576352i
\(215\) 0.950525 1.64636i 0.0648253 0.112281i
\(216\) 0.657060 + 5.15444i 0.0447073 + 0.350715i
\(217\) 4.16802 2.58915i 0.282943 0.175763i
\(218\) −8.77960 10.4631i −0.594629 0.708652i
\(219\) 9.98202 12.9720i 0.674522 0.876566i
\(220\) −0.181649 0.499075i −0.0122467 0.0336476i
\(221\) −0.650147 + 0.774815i −0.0437336 + 0.0521197i
\(222\) 7.74121 4.91680i 0.519556 0.329994i
\(223\) −6.38274 + 1.12545i −0.427420 + 0.0753656i −0.383220 0.923657i \(-0.625185\pi\)
−0.0441997 + 0.999023i \(0.514074\pi\)
\(224\) −2.33276 1.24828i −0.155864 0.0834044i
\(225\) −12.0045 8.45476i −0.800302 0.563651i
\(226\) −8.30602 14.3864i −0.552508 0.956972i
\(227\) 4.60722 + 26.1288i 0.305792 + 1.73423i 0.619754 + 0.784796i \(0.287232\pi\)
−0.313962 + 0.949436i \(0.601656\pi\)
\(228\) 2.94522 0.648709i 0.195052 0.0429618i
\(229\) −4.64811 12.7706i −0.307156 0.843903i −0.993208 0.116351i \(-0.962880\pi\)
0.686053 0.727552i \(-0.259342\pi\)
\(230\) −1.71731 1.44100i −0.113236 0.0950164i
\(231\) −7.25668 + 1.84564i −0.477454 + 0.121434i
\(232\) 0.322520 + 0.117388i 0.0211745 + 0.00770688i
\(233\) 1.63277 0.942679i 0.106966 0.0617570i −0.445562 0.895251i \(-0.646996\pi\)
0.552529 + 0.833494i \(0.313663\pi\)
\(234\) 6.86242 6.82493i 0.448611 0.446160i
\(235\) −0.336831 + 0.583408i −0.0219724 + 0.0380574i
\(236\) 9.85836 + 3.58815i 0.641725 + 0.233569i
\(237\) 14.2247 0.601544i 0.923993 0.0390745i
\(238\) −0.308694 0.769905i −0.0200097 0.0499055i
\(239\) −25.9324 4.57258i −1.67743 0.295776i −0.747704 0.664032i \(-0.768844\pi\)
−0.929724 + 0.368257i \(0.879955\pi\)
\(240\) −0.520431 + 0.214735i −0.0335936 + 0.0138611i
\(241\) 4.25602 11.6933i 0.274154 0.753233i −0.723842 0.689965i \(-0.757626\pi\)
0.997997 0.0632672i \(-0.0201520\pi\)
\(242\) −7.21417 + 4.16510i −0.463744 + 0.267743i
\(243\) 9.57412 12.3019i 0.614180 0.789166i
\(244\) 4.32316i 0.276762i
\(245\) 0.538752 + 2.21060i 0.0344196 + 0.141230i
\(246\) −9.04973 + 11.7605i −0.576990 + 0.749819i
\(247\) −4.30312 3.61075i −0.273801 0.229746i
\(248\) 1.42068 + 1.19210i 0.0902136 + 0.0756982i
\(249\) −8.22013 12.9421i −0.520929 0.820172i
\(250\) 1.09997 3.02214i 0.0695680 0.191137i
\(251\) 8.49591 + 14.7153i 0.536257 + 0.928825i 0.999101 + 0.0423850i \(0.0134956\pi\)
−0.462844 + 0.886440i \(0.653171\pi\)
\(252\) 2.27971 + 7.60282i 0.143608 + 0.478933i
\(253\) 5.63461 9.75942i 0.354245 0.613570i
\(254\) 7.80128 + 9.29721i 0.489496 + 0.583359i
\(255\) −0.168265 0.0533071i −0.0105371 0.00333822i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −24.6847 + 8.98449i −1.53979 + 0.560437i −0.965995 0.258562i \(-0.916751\pi\)
−0.573794 + 0.818999i \(0.694529\pi\)
\(258\) 3.05941 9.65706i 0.190470 0.601222i
\(259\) 10.4351 9.34589i 0.648404 0.580725i
\(260\) 0.908147 + 0.524319i 0.0563209 + 0.0325169i
\(261\) −0.432593 0.934373i −0.0267769 0.0578363i
\(262\) −14.4525 8.34414i −0.892877 0.515503i
\(263\) −5.11190 6.09213i −0.315213 0.375657i 0.585054 0.810994i \(-0.301073\pi\)
−0.900267 + 0.435338i \(0.856629\pi\)
\(264\) −1.51733 2.38895i −0.0933855 0.147030i
\(265\) 0.104717 + 0.287709i 0.00643274 + 0.0176738i
\(266\) 4.27585 1.71440i 0.262169 0.105117i
\(267\) −0.556453 + 4.18241i −0.0340544 + 0.255959i
\(268\) 1.76397 + 10.0040i 0.107751 + 0.611089i
\(269\) −1.96788 3.40846i −0.119984 0.207818i 0.799777 0.600297i \(-0.204951\pi\)
−0.919761 + 0.392479i \(0.871618\pi\)
\(270\) 1.55774 + 0.652748i 0.0948010 + 0.0397250i
\(271\) −19.2724 11.1269i −1.17071 0.675912i −0.216865 0.976202i \(-0.569583\pi\)
−0.953848 + 0.300290i \(0.902917\pi\)
\(272\) 0.240167 0.201524i 0.0145623 0.0122192i
\(273\) 8.63343 12.0014i 0.522519 0.726356i
\(274\) −1.48271 + 8.40887i −0.0895738 + 0.507998i
\(275\) 7.87563 + 1.38869i 0.474919 + 0.0837410i
\(276\) −10.5885 5.53046i −0.637352 0.332895i
\(277\) 14.4435 12.1196i 0.867828 0.728194i −0.0958115 0.995399i \(-0.530545\pi\)
0.963640 + 0.267205i \(0.0861002\pi\)
\(278\) −14.2207 −0.852902
\(279\) −0.469725 5.54385i −0.0281217 0.331902i
\(280\) −0.730511 + 0.453790i −0.0436564 + 0.0271191i
\(281\) 4.86888 13.3771i 0.290453 0.798013i −0.705547 0.708663i \(-0.749299\pi\)
0.996000 0.0893502i \(-0.0284790\pi\)
\(282\) −1.08414 + 3.42210i −0.0645596 + 0.203783i
\(283\) 10.0379 + 1.76994i 0.596688 + 0.105212i 0.463832 0.885923i \(-0.346474\pi\)
0.132856 + 0.991135i \(0.457585\pi\)
\(284\) 2.16316 + 0.381423i 0.128360 + 0.0226333i
\(285\) 0.296053 0.934497i 0.0175367 0.0553548i
\(286\) −1.80292 + 4.95347i −0.106609 + 0.292905i
\(287\) −10.6947 + 19.9860i −0.631286 + 1.17973i
\(288\) −2.46216 + 1.71399i −0.145084 + 0.100998i
\(289\) −16.9017 −0.994218
\(290\) 0.0854605 0.0717099i 0.00501842 0.00421095i
\(291\) 24.3102 + 12.6975i 1.42509 + 0.744338i
\(292\) 9.30654 + 1.64099i 0.544624 + 0.0960319i
\(293\) −1.99700 + 11.3256i −0.116666 + 0.661647i 0.869245 + 0.494381i \(0.164605\pi\)
−0.985912 + 0.167266i \(0.946506\pi\)
\(294\) 5.33745 + 10.8863i 0.311286 + 0.634902i
\(295\) 2.61224 2.19193i 0.152091 0.127619i
\(296\) 4.58534 + 2.64735i 0.266517 + 0.153874i
\(297\) −1.87167 + 8.28139i −0.108605 + 0.480535i
\(298\) −10.5175 18.2168i −0.609260 1.05527i
\(299\) 3.86375 + 21.9124i 0.223447 + 1.26723i
\(300\) 1.11801 8.40321i 0.0645486 0.485160i
\(301\) 2.19411 15.3176i 0.126466 0.882893i
\(302\) −0.616592 1.69407i −0.0354809 0.0974828i
\(303\) 8.33207 + 13.1184i 0.478665 + 0.753630i
\(304\) 1.11921 + 1.33382i 0.0641912 + 0.0765001i
\(305\) −1.21695 0.702606i −0.0696823 0.0402311i
\(306\) −0.936741 0.0845405i −0.0535499 0.00483286i
\(307\) 8.82199 + 5.09338i 0.503498 + 0.290694i 0.730157 0.683280i \(-0.239447\pi\)
−0.226659 + 0.973974i \(0.572780\pi\)
\(308\) −2.88416 3.22028i −0.164340 0.183493i
\(309\) −8.77673 + 27.7039i −0.499291 + 1.57602i
\(310\) 0.566462 0.206175i 0.0321729 0.0117100i
\(311\) 0.850866 4.82550i 0.0482482 0.273629i −0.951134 0.308779i \(-0.900080\pi\)
0.999382 + 0.0351498i \(0.0111908\pi\)
\(312\) 5.32693 + 1.68760i 0.301578 + 0.0955415i
\(313\) 2.07889 + 2.47752i 0.117506 + 0.140038i 0.821591 0.570078i \(-0.193087\pi\)
−0.704085 + 0.710116i \(0.748643\pi\)
\(314\) 3.07920 5.33333i 0.173769 0.300977i
\(315\) 2.51066 + 0.593893i 0.141460 + 0.0334621i
\(316\) 4.10998 + 7.11870i 0.231205 + 0.400458i
\(317\) −8.83159 + 24.2646i −0.496031 + 1.36283i 0.399049 + 0.916930i \(0.369340\pi\)
−0.895080 + 0.445905i \(0.852882\pi\)
\(318\) 0.874719 + 1.37719i 0.0490518 + 0.0772291i
\(319\) 0.429600 + 0.360477i 0.0240530 + 0.0201828i
\(320\) −0.248997 0.208934i −0.0139194 0.0116797i
\(321\) 0.260390 0.338387i 0.0145336 0.0188869i
\(322\) −17.3394 5.68470i −0.966288 0.316796i
\(323\) 0.545889i 0.0303741i
\(324\) 8.85457 + 1.61137i 0.491921 + 0.0895205i
\(325\) −13.6745 + 7.89495i −0.758523 + 0.437933i
\(326\) 6.93400 19.0510i 0.384039 1.05514i
\(327\) −21.8690 + 9.02337i −1.20936 + 0.498993i
\(328\) −8.43734 1.48773i −0.465874 0.0821462i
\(329\) −0.777510 + 5.42800i −0.0428655 + 0.299255i
\(330\) −0.919079 + 0.0388667i −0.0505936 + 0.00213954i
\(331\) −2.77679 1.01067i −0.152626 0.0555514i 0.264577 0.964364i \(-0.414768\pi\)
−0.417204 + 0.908813i \(0.636990\pi\)
\(332\) 4.42595 7.66597i 0.242906 0.420725i
\(333\) −4.06906 15.3540i −0.222983 0.841397i
\(334\) 15.4876 8.94178i 0.847445 0.489273i
\(335\) 3.10275 + 1.12931i 0.169521 + 0.0617007i
\(336\) −3.28140 + 3.19882i −0.179015 + 0.174510i
\(337\) 3.97824 + 3.33814i 0.216709 + 0.181840i 0.744679 0.667422i \(-0.232602\pi\)
−0.527971 + 0.849263i \(0.677047\pi\)
\(338\) 0.886498 + 2.43563i 0.0482191 + 0.132481i
\(339\) −28.0994 + 6.18911i −1.52615 + 0.336147i
\(340\) −0.0176958 0.100358i −0.000959691 0.00544268i
\(341\) 1.51514 + 2.62430i 0.0820495 + 0.142114i
\(342\) 0.469515 5.20241i 0.0253885 0.281314i
\(343\) 10.7666 + 15.0692i 0.581343 + 0.813658i
\(344\) 5.75976 1.01560i 0.310545 0.0547575i
\(345\) −3.27766 + 2.08179i −0.176463 + 0.112080i
\(346\) 7.33689 8.74377i 0.394434 0.470068i
\(347\) 4.69796 + 12.9075i 0.252199 + 0.692912i 0.999593 + 0.0285307i \(0.00908283\pi\)
−0.747393 + 0.664382i \(0.768695\pi\)
\(348\) 0.362537 0.471130i 0.0194340 0.0252552i
\(349\) 10.5343 + 12.5543i 0.563886 + 0.672014i 0.970364 0.241647i \(-0.0776876\pi\)
−0.406478 + 0.913661i \(0.633243\pi\)
\(350\) −0.417669 12.9425i −0.0223254 0.691805i
\(351\) −7.67939 14.9012i −0.409896 0.795365i
\(352\) 0.816976 1.41504i 0.0435450 0.0754221i
\(353\) 26.6709 + 9.70742i 1.41955 + 0.516674i 0.933917 0.357489i \(-0.116367\pi\)
0.485633 + 0.874163i \(0.338589\pi\)
\(354\) 11.0816 14.4009i 0.588978 0.765398i
\(355\) 0.458928 0.546929i 0.0243574 0.0290280i
\(356\) −2.28908 + 0.833158i −0.121321 + 0.0441573i
\(357\) −1.43272 + 0.106970i −0.0758277 + 0.00566144i
\(358\) 3.97880 + 22.5649i 0.210286 + 1.19259i
\(359\) 0.582269i 0.0307310i 0.999882 + 0.0153655i \(0.00489118\pi\)
−0.999882 + 0.0153655i \(0.995109\pi\)
\(360\) 0.0823268 + 0.971648i 0.00433900 + 0.0512103i
\(361\) 15.9683 0.840436
\(362\) −11.1151 + 9.32667i −0.584196 + 0.490199i
\(363\) 3.10357 + 14.0906i 0.162895 + 0.739564i
\(364\) 8.44935 + 1.21029i 0.442866 + 0.0634365i
\(365\) 1.97444 2.35305i 0.103347 0.123164i
\(366\) −7.13827 2.26144i −0.373124 0.118208i
\(367\) −9.53276 + 1.68088i −0.497606 + 0.0877414i −0.416818 0.908990i \(-0.636855\pi\)
−0.0807879 + 0.996731i \(0.525744\pi\)
\(368\) 6.89690i 0.359526i
\(369\) 14.6846 + 21.0946i 0.764450 + 1.09814i
\(370\) 1.49043 0.860502i 0.0774839 0.0447354i
\(371\) 1.66267 + 1.85644i 0.0863216 + 0.0963816i
\(372\) 2.71151 1.72221i 0.140585 0.0892924i
\(373\) −0.224850 + 1.27519i −0.0116423 + 0.0660268i −0.990075 0.140537i \(-0.955117\pi\)
0.978433 + 0.206564i \(0.0662282\pi\)
\(374\) 0.481376 0.175207i 0.0248914 0.00905972i
\(375\) −4.41467 3.39711i −0.227973 0.175426i
\(376\) −2.04104 + 0.359891i −0.105259 + 0.0185600i
\(377\) −1.10727 −0.0570276
\(378\) 13.7461 + 0.212836i 0.707022 + 0.0109471i
\(379\) 13.1616 0.676067 0.338033 0.941134i \(-0.390238\pi\)
0.338033 + 0.941134i \(0.390238\pi\)
\(380\) 0.557362 0.0982779i 0.0285920 0.00504155i
\(381\) 19.4321 8.01789i 0.995538 0.410769i
\(382\) 0.690117 0.251182i 0.0353094 0.0128516i
\(383\) 1.52991 8.67657i 0.0781749 0.443352i −0.920447 0.390868i \(-0.872175\pi\)
0.998622 0.0524842i \(-0.0167139\pi\)
\(384\) −1.53525 0.801876i −0.0783454 0.0409205i
\(385\) −1.37523 + 0.288513i −0.0700884 + 0.0147040i
\(386\) −18.9185 + 10.9226i −0.962925 + 0.555945i
\(387\) −14.3451 10.1032i −0.729201 0.513575i
\(388\) 15.8347i 0.803885i
\(389\) −20.5468 + 3.62296i −1.04176 + 0.183691i −0.668253 0.743934i \(-0.732958\pi\)
−0.373512 + 0.927625i \(0.621846\pi\)
\(390\) 1.34079 1.22524i 0.0678937 0.0620422i
\(391\) 1.38989 1.65641i 0.0702899 0.0837682i
\(392\) −4.14441 + 5.64126i −0.209325 + 0.284927i
\(393\) −21.3377 + 19.4987i −1.07634 + 0.983579i
\(394\) 8.57975 7.19927i 0.432242 0.362694i
\(395\) 2.67184 0.134435
\(396\) −4.73829 + 1.25572i −0.238108 + 0.0631022i
\(397\) 26.4752i 1.32875i 0.747398 + 0.664377i \(0.231303\pi\)
−0.747398 + 0.664377i \(0.768697\pi\)
\(398\) −1.96436 11.1404i −0.0984644 0.558420i
\(399\) −0.594081 7.95696i −0.0297413 0.398346i
\(400\) 4.59918 1.67397i 0.229959 0.0836983i
\(401\) −20.2516 + 24.1350i −1.01132 + 1.20524i −0.0327205 + 0.999465i \(0.510417\pi\)
−0.978599 + 0.205779i \(0.934027\pi\)
\(402\) 17.4410 + 2.32045i 0.869877 + 0.115734i
\(403\) −5.62230 2.04635i −0.280067 0.101936i
\(404\) −4.48623 + 7.77037i −0.223198 + 0.386590i
\(405\) 1.89265 2.23064i 0.0940466 0.110841i
\(406\) 0.428434 0.800648i 0.0212628 0.0397355i
\(407\) 5.56093 + 6.62726i 0.275645 + 0.328501i
\(408\) −0.207120 0.501974i −0.0102539 0.0248514i
\(409\) 10.3335 + 28.3909i 0.510956 + 1.40384i 0.880242 + 0.474525i \(0.157380\pi\)
−0.369286 + 0.929316i \(0.620398\pi\)
\(410\) −1.79004 + 2.13328i −0.0884037 + 0.105355i
\(411\) 13.1089 + 6.84689i 0.646613 + 0.337732i
\(412\) −16.5234 + 2.91352i −0.814050 + 0.143539i
\(413\) 13.0958 24.4731i 0.644402 1.20424i
\(414\) −14.6706 + 14.5904i −0.721019 + 0.717080i
\(415\) −1.43862 2.49177i −0.0706193 0.122316i
\(416\) 0.560215 + 3.17714i 0.0274668 + 0.155772i
\(417\) −7.43886 + 23.4809i −0.364282 + 1.14986i
\(418\) 0.973051 + 2.67344i 0.0475935 + 0.130762i
\(419\) 25.7498 + 21.6066i 1.25796 + 1.05555i 0.995896 + 0.0905033i \(0.0288476\pi\)
0.262064 + 0.965051i \(0.415597\pi\)
\(420\) 0.367155 + 1.44358i 0.0179153 + 0.0704393i
\(421\) −10.9530 3.98657i −0.533817 0.194294i 0.0610247 0.998136i \(-0.480563\pi\)
−0.594842 + 0.803843i \(0.702785\pi\)
\(422\) 13.8581 8.00098i 0.674602 0.389482i
\(423\) 5.08337 + 3.58020i 0.247162 + 0.174075i
\(424\) −0.470974 + 0.815750i −0.0228725 + 0.0396163i
\(425\) 1.44192 + 0.524815i 0.0699432 + 0.0254573i
\(426\) 1.76134 3.37222i 0.0853372 0.163385i
\(427\) −11.3224 1.62183i −0.547931 0.0784860i
\(428\) 0.242770 + 0.0428068i 0.0117347 + 0.00206915i
\(429\) 7.23593 + 5.56809i 0.349354 + 0.268830i
\(430\) 0.650197 1.78640i 0.0313553 0.0861480i
\(431\) 27.5363 15.8981i 1.32638 0.765785i 0.341640 0.939831i \(-0.389017\pi\)
0.984738 + 0.174046i \(0.0556842\pi\)
\(432\) 1.54214 + 4.96204i 0.0741961 + 0.238736i
\(433\) 1.13905i 0.0547390i −0.999625 0.0273695i \(-0.991287\pi\)
0.999625 0.0273695i \(-0.00871308\pi\)
\(434\) 3.65509 3.27359i 0.175450 0.157137i
\(435\) −0.0737009 0.178621i −0.00353369 0.00856424i
\(436\) −10.4631 8.77960i −0.501092 0.420466i
\(437\) 9.19926 + 7.71910i 0.440060 + 0.369254i
\(438\) 7.57781 14.5083i 0.362082 0.693233i
\(439\) 6.49691 17.8501i 0.310081 0.851940i −0.682558 0.730831i \(-0.739133\pi\)
0.992639 0.121109i \(-0.0386451\pi\)
\(440\) −0.265552 0.459950i −0.0126597 0.0219273i
\(441\) 20.7672 3.11841i 0.988913 0.148496i
\(442\) −0.505725 + 0.875941i −0.0240549 + 0.0416643i
\(443\) −18.1228 21.5980i −0.861042 1.02615i −0.999360 0.0357624i \(-0.988614\pi\)
0.138318 0.990388i \(-0.455830\pi\)
\(444\) 6.76981 6.18635i 0.321281 0.293591i
\(445\) −0.137495 + 0.779773i −0.00651789 + 0.0369648i
\(446\) −6.09034 + 2.21670i −0.288386 + 0.104964i
\(447\) −35.5807 + 7.83693i −1.68291 + 0.370674i
\(448\) −2.51409 0.824239i −0.118779 0.0389416i
\(449\) −12.8579 7.42348i −0.606800 0.350336i 0.164912 0.986308i \(-0.447266\pi\)
−0.771712 + 0.635972i \(0.780599\pi\)
\(450\) −13.2903 6.24175i −0.626511 0.294239i
\(451\) −12.1234 6.99944i −0.570868 0.329591i
\(452\) −10.6780 12.7256i −0.502251 0.598560i
\(453\) −3.11974 + 0.131930i −0.146578 + 0.00619861i
\(454\) 9.07445 + 24.9318i 0.425885 + 1.17011i
\(455\) 1.71389 2.18176i 0.0803486 0.102282i
\(456\) 2.78783 1.15029i 0.130552 0.0538671i
\(457\) 6.80601 + 38.5988i 0.318372 + 1.80558i 0.552659 + 0.833408i \(0.313613\pi\)
−0.234287 + 0.972167i \(0.575276\pi\)
\(458\) −6.79508 11.7694i −0.317513 0.549949i
\(459\) −0.629600 + 1.50250i −0.0293872 + 0.0701305i
\(460\) −1.94145 1.12090i −0.0905205 0.0522620i
\(461\) 10.3638 8.69622i 0.482688 0.405023i −0.368709 0.929545i \(-0.620200\pi\)
0.851397 + 0.524521i \(0.175756\pi\)
\(462\) −6.82594 + 3.07771i −0.317572 + 0.143188i
\(463\) −0.520593 + 2.95243i −0.0241940 + 0.137211i −0.994512 0.104621i \(-0.966637\pi\)
0.970318 + 0.241832i \(0.0777482\pi\)
\(464\) 0.338004 + 0.0595993i 0.0156915 + 0.00276683i
\(465\) −0.0441146 1.04318i −0.00204577 0.0483761i
\(466\) 1.44427 1.21189i 0.0669045 0.0561395i
\(467\) 5.12311 0.237069 0.118535 0.992950i \(-0.462180\pi\)
0.118535 + 0.992950i \(0.462180\pi\)
\(468\) 5.57303 7.91289i 0.257613 0.365773i
\(469\) 26.8623 0.866878i 1.24039 0.0400287i
\(470\) −0.230406 + 0.633035i −0.0106278 + 0.0291997i
\(471\) −7.19551 7.87415i −0.331552 0.362821i
\(472\) 10.3317 + 1.82175i 0.475553 + 0.0838529i
\(473\) 9.41116 + 1.65944i 0.432726 + 0.0763012i
\(474\) 13.9041 3.06250i 0.638638 0.140665i
\(475\) −2.91468 + 8.00802i −0.133735 + 0.367433i
\(476\) −0.437697 0.704604i −0.0200618 0.0322955i
\(477\) 2.73155 0.723902i 0.125069 0.0331452i
\(478\) −26.3325 −1.20442
\(479\) −11.3388 + 9.51440i −0.518084 + 0.434724i −0.863963 0.503555i \(-0.832025\pi\)
0.345879 + 0.938279i \(0.387581\pi\)
\(480\) −0.475236 + 0.301844i −0.0216914 + 0.0137772i
\(481\) −16.8220 2.96617i −0.767016 0.135246i
\(482\) 2.16084 12.2547i 0.0984234 0.558187i
\(483\) −18.4567 + 25.6567i −0.839807 + 1.16742i
\(484\) −6.38130 + 5.35455i −0.290059 + 0.243389i
\(485\) 4.45740 + 2.57348i 0.202400 + 0.116856i
\(486\) 7.29247 13.7775i 0.330793 0.624961i
\(487\) −18.7526 32.4805i −0.849763 1.47183i −0.881419 0.472334i \(-0.843412\pi\)
0.0316562 0.999499i \(-0.489922\pi\)
\(488\) −0.750709 4.25748i −0.0339830 0.192727i
\(489\) −27.8293 21.4148i −1.25848 0.968411i
\(490\) 0.914433 + 2.08346i 0.0413099 + 0.0941212i
\(491\) −6.09766 16.7532i −0.275184 0.756061i −0.997891 0.0649070i \(-0.979325\pi\)
0.722708 0.691154i \(-0.242897\pi\)
\(492\) −6.87007 + 13.1533i −0.309727 + 0.592995i
\(493\) 0.0691668 + 0.0824298i 0.00311512 + 0.00371245i
\(494\) −4.86475 2.80866i −0.218875 0.126368i
\(495\) −0.416594 + 1.53789i −0.0187245 + 0.0691229i
\(496\) 1.60611 + 0.927286i 0.0721163 + 0.0416364i
\(497\) 1.81046 5.52226i 0.0812103 0.247707i
\(498\) −10.3426 11.3181i −0.463464 0.507175i
\(499\) −0.791345 + 0.288026i −0.0354255 + 0.0128938i −0.359672 0.933079i \(-0.617111\pi\)
0.324247 + 0.945973i \(0.394889\pi\)
\(500\) 0.558468 3.16723i 0.0249754 0.141643i
\(501\) −6.66284 30.2502i −0.297674 1.35148i
\(502\) 10.9221 + 13.0165i 0.487479 + 0.580954i
\(503\) 12.7127 22.0191i 0.566833 0.981784i −0.430043 0.902808i \(-0.641502\pi\)
0.996877 0.0789755i \(-0.0251649\pi\)
\(504\) 3.56530 + 7.09145i 0.158811 + 0.315878i
\(505\) 1.45822 + 2.52570i 0.0648898 + 0.112392i
\(506\) 3.85430 10.5896i 0.171344 0.470765i
\(507\) 4.48537 0.189681i 0.199202 0.00842402i
\(508\) 9.29721 + 7.80128i 0.412497 + 0.346126i
\(509\) 16.2152 + 13.6062i 0.718726 + 0.603083i 0.927033 0.374981i \(-0.122351\pi\)
−0.208306 + 0.978064i \(0.566795\pi\)
\(510\) −0.174965 0.0232784i −0.00774758 0.00103079i
\(511\) 7.78914 23.7584i 0.344571 1.05101i
\(512\) 1.00000i 0.0441942i
\(513\) −8.34446 3.49663i −0.368417 0.154380i
\(514\) −22.7495 + 13.1345i −1.00344 + 0.579336i
\(515\) −1.86527 + 5.12477i −0.0821934 + 0.225825i
\(516\) 1.33600 10.0416i 0.0588140 0.442057i
\(517\) −3.33497 0.588045i −0.146672 0.0258622i
\(518\) 8.65364 11.0159i 0.380219 0.484013i
\(519\) −10.5995 16.6883i −0.465268 0.732537i
\(520\) 0.985398 + 0.358655i 0.0432125 + 0.0157281i
\(521\) 1.86020 3.22197i 0.0814970 0.141157i −0.822396 0.568915i \(-0.807363\pi\)
0.903893 + 0.427758i \(0.140697\pi\)
\(522\) −0.588274 0.845059i −0.0257480 0.0369872i
\(523\) −0.231579 + 0.133702i −0.0101263 + 0.00584639i −0.505055 0.863087i \(-0.668528\pi\)
0.494928 + 0.868934i \(0.335194\pi\)
\(524\) −15.6819 5.70773i −0.685065 0.249343i
\(525\) −21.5887 6.08057i −0.942210 0.265378i
\(526\) −6.09213 5.11190i −0.265629 0.222890i
\(527\) 0.198863 + 0.546373i 0.00866263 + 0.0238004i
\(528\) −1.90912 2.08918i −0.0830838 0.0909197i
\(529\) −4.26607 24.1941i −0.185481 1.05192i
\(530\) 0.153087 + 0.265154i 0.00664966 + 0.0115176i
\(531\) −17.9816 25.8306i −0.780333 1.12095i
\(532\) 3.91318 2.43085i 0.169658 0.105391i
\(533\) 27.2201 4.79964i 1.17903 0.207896i
\(534\) 0.178268 + 4.21549i 0.00771441 + 0.182422i
\(535\) 0.0515052 0.0613815i 0.00222677 0.00265376i
\(536\) 3.47434 + 9.54566i 0.150068 + 0.412310i
\(537\) 39.3398 + 5.23401i 1.69764 + 0.225864i
\(538\) −2.52985 3.01496i −0.109070 0.129984i
\(539\) −9.51597 + 6.34558i −0.409882 + 0.273323i
\(540\) 1.64742 + 0.372333i 0.0708938 + 0.0160227i
\(541\) −16.2515 + 28.1485i −0.698708 + 1.21020i 0.270207 + 0.962802i \(0.412908\pi\)
−0.968915 + 0.247395i \(0.920426\pi\)
\(542\) −20.9118 7.61126i −0.898237 0.326931i
\(543\) 9.58563 + 23.2317i 0.411359 + 0.996968i
\(544\) 0.201524 0.240167i 0.00864028 0.0102971i
\(545\) −4.17190 + 1.51845i −0.178705 + 0.0650431i
\(546\) 6.41825 13.3182i 0.274676 0.569967i
\(547\) 2.64204 + 14.9837i 0.112965 + 0.640658i 0.987738 + 0.156124i \(0.0498999\pi\)
−0.874772 + 0.484534i \(0.838989\pi\)
\(548\) 8.53859i 0.364751i
\(549\) −7.46806 + 10.6036i −0.318729 + 0.452549i
\(550\) 7.99713 0.340999
\(551\) −0.457793 + 0.384134i −0.0195026 + 0.0163647i
\(552\) −11.3880 3.60777i −0.484704 0.153557i
\(553\) 20.1859 8.09354i 0.858391 0.344173i
\(554\) 12.1196 14.4435i 0.514911 0.613647i
\(555\) −0.641191 2.91109i −0.0272170 0.123569i
\(556\) −14.0047 + 2.46940i −0.593931 + 0.104726i
\(557\) 32.3878i 1.37232i −0.727453 0.686158i \(-0.759296\pi\)
0.727453 0.686158i \(-0.240704\pi\)
\(558\) −1.42527 5.37806i −0.0603365 0.227672i
\(559\) −16.3406 + 9.43425i −0.691134 + 0.399026i
\(560\) −0.640613 + 0.573748i −0.0270708 + 0.0242453i
\(561\) −0.0374884 0.886485i −0.00158276 0.0374274i
\(562\) 2.47200 14.0194i 0.104275 0.591372i
\(563\) 27.7932 10.1159i 1.17134 0.426335i 0.318208 0.948021i \(-0.396919\pi\)
0.853137 + 0.521686i \(0.174697\pi\)
\(564\) −0.473428 + 3.55837i −0.0199349 + 0.149835i
\(565\) −5.31760 + 0.937636i −0.223713 + 0.0394466i
\(566\) 10.1927 0.428431
\(567\) 7.54200 22.5858i 0.316734 0.948514i
\(568\) 2.19653 0.0921642
\(569\) −18.7974 + 3.31449i −0.788028 + 0.138951i −0.553158 0.833076i \(-0.686577\pi\)
−0.234870 + 0.972027i \(0.575466\pi\)
\(570\) 0.129282 0.971709i 0.00541503 0.0407004i
\(571\) 30.3515 11.0470i 1.27017 0.462304i 0.383000 0.923748i \(-0.374891\pi\)
0.887169 + 0.461444i \(0.152669\pi\)
\(572\) −0.915365 + 5.19129i −0.0382733 + 0.217059i
\(573\) −0.0537445 1.27089i −0.00224521 0.0530924i
\(574\) −7.06166 + 21.5394i −0.294748 + 0.899038i
\(575\) 29.2334 16.8779i 1.21912 0.703858i
\(576\) −2.12712 + 2.11550i −0.0886301 + 0.0881459i
\(577\) 27.5610i 1.14738i 0.819073 + 0.573689i \(0.194488\pi\)
−0.819073 + 0.573689i \(0.805512\pi\)
\(578\) −16.6449 + 2.93495i −0.692338 + 0.122078i
\(579\) 8.13881 + 36.9512i 0.338237 + 1.53564i
\(580\) 0.0717099 0.0854605i 0.00297759 0.00354856i
\(581\) −18.4169 14.4675i −0.764063 0.600215i
\(582\) 26.1458 + 8.28313i 1.08378 + 0.343347i
\(583\) −1.17902 + 0.989312i −0.0488299 + 0.0409731i
\(584\) 9.45010 0.391048
\(585\) −1.32171 2.85480i −0.0546458 0.118031i
\(586\) 11.5003i 0.475073i
\(587\) −6.31637 35.8219i −0.260705 1.47853i −0.780993 0.624539i \(-0.785287\pi\)
0.520289 0.853990i \(-0.325824\pi\)
\(588\) 7.14675 + 9.79408i 0.294727 + 0.403901i
\(589\) −3.03441 + 1.10444i −0.125031 + 0.0455075i
\(590\) 2.19193 2.61224i 0.0902404 0.107544i
\(591\) −7.39916 17.9326i −0.304361 0.737648i
\(592\) 4.97538 + 1.81089i 0.204487 + 0.0744272i
\(593\) 8.52359 14.7633i 0.350022 0.606255i −0.636231 0.771498i \(-0.719508\pi\)
0.986253 + 0.165243i \(0.0528409\pi\)
\(594\) −0.405190 + 8.48059i −0.0166251 + 0.347963i
\(595\) −0.269478 + 0.00869638i −0.0110475 + 0.000356517i
\(596\) −13.5210 16.1137i −0.553841 0.660042i
\(597\) −19.4223 2.58406i −0.794903 0.105759i
\(598\) 7.61011 + 20.9086i 0.311200 + 0.855016i
\(599\) −7.11821 + 8.48316i −0.290842 + 0.346612i −0.891604 0.452816i \(-0.850420\pi\)
0.600762 + 0.799428i \(0.294864\pi\)
\(600\) −0.358173 8.46969i −0.0146223 0.345774i
\(601\) 27.9147 4.92212i 1.13866 0.200777i 0.427643 0.903948i \(-0.359344\pi\)
0.711022 + 0.703170i \(0.248233\pi\)
\(602\) −0.499103 15.4659i −0.0203419 0.630344i
\(603\) 12.9548 27.5842i 0.527562 1.12332i
\(604\) −0.901397 1.56126i −0.0366773 0.0635270i
\(605\) 0.470183 + 2.66654i 0.0191156 + 0.108410i
\(606\) 10.4835 + 11.4722i 0.425862 + 0.466026i
\(607\) −11.1327 30.5867i −0.451860 1.24148i −0.931413 0.363963i \(-0.881423\pi\)
0.479553 0.877513i \(-0.340799\pi\)
\(608\) 1.33382 + 1.11921i 0.0540937 + 0.0453900i
\(609\) −1.09789 1.12624i −0.0444889 0.0456374i
\(610\) −1.32047 0.480611i −0.0534642 0.0194594i
\(611\) 5.79050 3.34315i 0.234259 0.135249i
\(612\) −0.937190 + 0.0794072i −0.0378836 + 0.00320985i
\(613\) −8.67071 + 15.0181i −0.350207 + 0.606576i −0.986285 0.165048i \(-0.947222\pi\)
0.636079 + 0.771624i \(0.280555\pi\)
\(614\) 9.57242 + 3.48408i 0.386311 + 0.140606i
\(615\) 2.58605 + 4.07158i 0.104280 + 0.164182i
\(616\) −3.39954 2.67053i −0.136971 0.107599i
\(617\) −9.10859 1.60609i −0.366698 0.0646588i −0.0127370 0.999919i \(-0.504054\pi\)
−0.353961 + 0.935260i \(0.615166\pi\)
\(618\) −3.83266 + 28.8070i −0.154172 + 1.15879i
\(619\) 15.7150 43.1767i 0.631641 1.73542i −0.0448780 0.998992i \(-0.514290\pi\)
0.676519 0.736426i \(-0.263488\pi\)
\(620\) 0.522054 0.301408i 0.0209662 0.0121048i
\(621\) 16.4171 + 31.8559i 0.658796 + 1.27833i
\(622\) 4.89994i 0.196470i
\(623\) 1.32331 + 6.30771i 0.0530172 + 0.252713i
\(624\) 5.53905 + 0.736949i 0.221739 + 0.0295016i
\(625\) 17.9456 + 15.0582i 0.717826 + 0.602327i
\(626\) 2.47752 + 2.07889i 0.0990216 + 0.0830890i
\(627\) 4.92330 0.208200i 0.196618 0.00831472i
\(628\) 2.10630 5.78700i 0.0840503 0.230926i
\(629\) 0.829985 + 1.43758i 0.0330937 + 0.0573199i
\(630\) 2.57565 + 0.148898i 0.102616 + 0.00593225i
\(631\) 17.1617 29.7250i 0.683197 1.18333i −0.290803 0.956783i \(-0.593922\pi\)
0.974000 0.226549i \(-0.0727443\pi\)
\(632\) 5.28369 + 6.29686i 0.210174 + 0.250476i
\(633\) −5.96182 27.0674i −0.236961 1.07583i
\(634\) −4.48391 + 25.4295i −0.178079 + 1.00994i
\(635\) 3.70702 1.34925i 0.147109 0.0535432i
\(636\) 1.10058 + 1.20438i 0.0436407 + 0.0477566i
\(637\) 6.33955 21.6750i 0.251182 0.858794i
\(638\) 0.485669 + 0.280401i 0.0192278 + 0.0111012i
\(639\) −4.64675 4.67228i −0.183823 0.184833i
\(640\) −0.281496 0.162522i −0.0111271 0.00642423i
\(641\) −29.4584 35.1071i −1.16353 1.38665i −0.907538 0.419969i \(-0.862041\pi\)
−0.255997 0.966678i \(-0.582404\pi\)
\(642\) 0.197674 0.378462i 0.00780158 0.0149367i
\(643\) 4.59765 + 12.6319i 0.181314 + 0.498155i 0.996738 0.0807087i \(-0.0257184\pi\)
−0.815424 + 0.578864i \(0.803496\pi\)
\(644\) −18.0631 2.58738i −0.711787 0.101957i
\(645\) −2.60954 2.00805i −0.102750 0.0790671i
\(646\) 0.0947926 + 0.537596i 0.00372957 + 0.0211514i
\(647\) −1.81757 3.14813i −0.0714562 0.123766i 0.828084 0.560605i \(-0.189431\pi\)
−0.899540 + 0.436839i \(0.856098\pi\)
\(648\) 8.99986 + 0.0493072i 0.353548 + 0.00193697i
\(649\) 14.8453 + 8.57093i 0.582729 + 0.336439i
\(650\) −12.0958 + 10.1496i −0.474435 + 0.398098i
\(651\) −3.49327 7.74760i −0.136912 0.303652i
\(652\) 3.52048 19.9657i 0.137873 0.781916i
\(653\) −33.8874 5.97526i −1.32612 0.233830i −0.534666 0.845064i \(-0.679562\pi\)
−0.791450 + 0.611234i \(0.790674\pi\)
\(654\) −19.9699 + 12.6838i −0.780884 + 0.495976i
\(655\) −4.15534 + 3.48674i −0.162363 + 0.136238i
\(656\) −8.56750 −0.334505
\(657\) −19.9917 20.1015i −0.779951 0.784236i
\(658\) 0.176864 + 5.48055i 0.00689487 + 0.213654i
\(659\) 9.58368 26.3309i 0.373327 1.02571i −0.600739 0.799445i \(-0.705127\pi\)
0.974066 0.226263i \(-0.0726507\pi\)
\(660\) −0.898367 + 0.197873i −0.0349689 + 0.00770218i
\(661\) −17.1963 3.03217i −0.668859 0.117938i −0.171100 0.985254i \(-0.554732\pi\)
−0.497758 + 0.867316i \(0.665843\pi\)
\(662\) −2.91011 0.513130i −0.113104 0.0199434i
\(663\) 1.18178 + 1.29324i 0.0458967 + 0.0502254i
\(664\) 3.02753 8.31806i 0.117491 0.322803i
\(665\) −0.0482974 1.49661i −0.00187289 0.0580360i
\(666\) −6.67344 14.4142i −0.258591 0.558539i
\(667\) 2.36715 0.0916562
\(668\) 13.6996 11.4953i 0.530054 0.444768i
\(669\) 0.474300 + 11.2157i 0.0183375 + 0.433626i
\(670\) 3.25172 + 0.573365i 0.125625 + 0.0221510i
\(671\) 1.22662 6.95652i 0.0473532 0.268553i
\(672\) −2.67608 + 3.72003i −0.103232 + 0.143503i
\(673\) −22.0388 + 18.4927i −0.849532 + 0.712842i −0.959686 0.281073i \(-0.909310\pi\)
0.110155 + 0.993914i \(0.464865\pi\)
\(674\) 4.49747 + 2.59661i 0.173236 + 0.100018i
\(675\) −17.2584 + 18.6795i −0.664274 + 0.718975i
\(676\) 1.29597 + 2.24469i 0.0498451 + 0.0863343i
\(677\) 4.95302 + 28.0900i 0.190360 + 1.07959i 0.918873 + 0.394554i \(0.129101\pi\)
−0.728513 + 0.685032i \(0.759788\pi\)
\(678\) −26.5977 + 10.9745i −1.02148 + 0.421473i
\(679\) 41.4714 + 5.94039i 1.59153 + 0.227971i
\(680\) −0.0348540 0.0957605i −0.00133659 0.00367225i
\(681\) 45.9136 1.94163i 1.75941 0.0744034i
\(682\) 1.94783 + 2.32133i 0.0745862 + 0.0888884i
\(683\) −3.40522 1.96601i −0.130297 0.0752271i 0.433435 0.901185i \(-0.357302\pi\)
−0.563732 + 0.825958i \(0.690635\pi\)
\(684\) −0.441006 5.20490i −0.0168623 0.199014i
\(685\) 2.40358 + 1.38770i 0.0918359 + 0.0530215i
\(686\) 13.2198 + 12.9706i 0.504734 + 0.495221i
\(687\) −22.9878 + 5.06326i −0.877041 + 0.193175i
\(688\) 5.49590 2.00034i 0.209529 0.0762623i
\(689\) 0.527693 2.99270i 0.0201035 0.114013i
\(690\) −2.86636 + 2.61932i −0.109121 + 0.0997159i
\(691\) −5.21734 6.21778i −0.198477 0.236536i 0.657621 0.753349i \(-0.271563\pi\)
−0.856098 + 0.516813i \(0.827118\pi\)
\(692\) 5.70709 9.88497i 0.216951 0.375770i
\(693\) 1.51118 + 12.8807i 0.0574051 + 0.489299i
\(694\) 6.86795 + 11.8956i 0.260704 + 0.451552i
\(695\) −1.58094 + 4.34359i −0.0599683 + 0.164762i
\(696\) 0.275219 0.526927i 0.0104321 0.0199731i
\(697\) −2.05763 1.72656i −0.0779383 0.0653980i
\(698\) 12.5543 + 10.5343i 0.475185 + 0.398728i
\(699\) −1.24553 3.01867i −0.0471104 0.114177i
\(700\) −2.65876 12.6733i −0.100492 0.479007i
\(701\) 48.0810i 1.81600i 0.418975 + 0.907998i \(0.362389\pi\)
−0.418975 + 0.907998i \(0.637611\pi\)
\(702\) −10.1503 13.3413i −0.383098 0.503533i
\(703\) −7.98392 + 4.60952i −0.301119 + 0.173851i
\(704\) 0.558844 1.53541i 0.0210622 0.0578680i
\(705\) 0.924724 + 0.711580i 0.0348271 + 0.0267997i
\(706\) 27.9514 + 4.92859i 1.05197 + 0.185490i
\(707\) 18.6677 + 14.6646i 0.702073 + 0.551518i
\(708\) 8.41251 16.1064i 0.316162 0.605315i
\(709\) 8.89284 + 3.23673i 0.333977 + 0.121558i 0.503565 0.863957i \(-0.332021\pi\)
−0.169588 + 0.985515i \(0.554244\pi\)
\(710\) 0.356983 0.618312i 0.0133973 0.0232048i
\(711\) 2.21654 24.5601i 0.0831267 0.921075i
\(712\) −2.10963 + 1.21800i −0.0790617 + 0.0456463i
\(713\) 12.0194 + 4.37471i 0.450131 + 0.163834i
\(714\) −1.39238 + 0.354134i −0.0521086 + 0.0132531i
\(715\) 1.31256 + 1.10137i 0.0490869 + 0.0411888i
\(716\) 7.83670 + 21.5312i 0.292871 + 0.804657i
\(717\) −13.7745 + 43.4794i −0.514418 + 1.62377i
\(718\) 0.101110 + 0.573423i 0.00377339 + 0.0213999i
\(719\) 3.31723 + 5.74561i 0.123712 + 0.214275i 0.921229 0.389021i \(-0.127187\pi\)
−0.797517 + 0.603297i \(0.793853\pi\)
\(720\) 0.249801 + 0.942590i 0.00930953 + 0.0351283i
\(721\) 1.43181 + 44.3681i 0.0533235 + 1.65236i
\(722\) 15.7257 2.77286i 0.585249 0.103195i
\(723\) −19.1043 9.97835i −0.710497 0.371099i
\(724\) −9.32667 + 11.1151i −0.346623 + 0.413089i
\(725\) 0.574536 + 1.57852i 0.0213377 + 0.0586249i
\(726\) 5.50322 + 13.3376i 0.204244 + 0.495004i
\(727\) −29.2015 34.8009i −1.08302 1.29070i −0.954246 0.299022i \(-0.903340\pi\)
−0.128776 0.991674i \(-0.541105\pi\)
\(728\) 8.53115 0.275310i 0.316186 0.0102037i
\(729\) −18.9343 19.2481i −0.701272 0.712894i
\(730\) 1.53585 2.66016i 0.0568442 0.0984570i
\(731\) 1.72305 + 0.627139i 0.0637293 + 0.0231956i
\(732\) −7.42252 0.987538i −0.274344 0.0365005i
\(733\) 7.28653 8.68375i 0.269134 0.320742i −0.614503 0.788915i \(-0.710643\pi\)
0.883637 + 0.468173i \(0.155088\pi\)
\(734\) −9.09605 + 3.31069i −0.335741 + 0.122200i
\(735\) 3.91849 0.420028i 0.144536 0.0154930i
\(736\) −1.19763 6.79213i −0.0441454 0.250361i
\(737\) 16.5981i 0.611400i
\(738\) 18.1246 + 18.2241i 0.667174 + 0.670839i
\(739\) −6.58058 −0.242070 −0.121035 0.992648i \(-0.538621\pi\)
−0.121035 + 0.992648i \(0.538621\pi\)
\(740\) 1.31837 1.10624i 0.0484641 0.0406662i
\(741\) −7.18233 + 6.56332i −0.263849 + 0.241109i
\(742\) 1.95978 + 1.53952i 0.0719458 + 0.0565175i
\(743\) −7.42861 + 8.85307i −0.272529 + 0.324788i −0.884898 0.465784i \(-0.845772\pi\)
0.612369 + 0.790572i \(0.290217\pi\)
\(744\) 2.37126 2.16689i 0.0869347 0.0794422i
\(745\) −6.73338 + 1.18728i −0.246692 + 0.0434984i
\(746\) 1.29486i 0.0474082i
\(747\) −24.0983 + 11.1570i −0.881710 + 0.408212i
\(748\) 0.443639 0.256135i 0.0162210 0.00936522i
\(749\) 0.203187 0.619759i 0.00742429 0.0226455i
\(750\) −4.93750 2.57890i −0.180292 0.0941682i
\(751\) −6.17551 + 35.0230i −0.225347 + 1.27801i 0.636672 + 0.771134i \(0.280310\pi\)
−0.862020 + 0.506874i \(0.830801\pi\)
\(752\) −1.94754 + 0.708847i −0.0710196 + 0.0258490i
\(753\) 27.2058 11.2254i 0.991435 0.409076i
\(754\) −1.09045 + 0.192276i −0.0397120 + 0.00700229i
\(755\) −0.585985 −0.0213262
\(756\) 13.5742 2.17738i 0.493689 0.0791905i
\(757\) 4.41211 0.160361 0.0801804 0.996780i \(-0.474450\pi\)
0.0801804 + 0.996780i \(0.474450\pi\)
\(758\) 12.9617 2.28549i 0.470789 0.0830127i
\(759\) −15.4691 11.9035i −0.561491 0.432070i
\(760\) 0.531828 0.193570i 0.0192914 0.00702151i
\(761\) 0.250453 1.42039i 0.00907893 0.0514892i −0.979932 0.199333i \(-0.936122\pi\)
0.989011 + 0.147844i \(0.0472334\pi\)
\(762\) 17.7446 11.2704i 0.642820 0.408285i
\(763\) −26.9192 + 24.1094i −0.974540 + 0.872820i
\(764\) 0.636015 0.367203i 0.0230102 0.0132850i
\(765\) −0.129961 + 0.276720i −0.00469874 + 0.0100048i
\(766\) 8.81042i 0.318333i
\(767\) −33.3315 + 5.87725i −1.20353 + 0.212215i
\(768\) −1.65117 0.523100i −0.0595815 0.0188757i
\(769\) 13.9689 16.6475i 0.503731 0.600323i −0.452923 0.891549i \(-0.649619\pi\)
0.956654 + 0.291226i \(0.0940633\pi\)
\(770\) −1.30424 + 0.522936i −0.0470016 + 0.0188453i
\(771\) 9.78695 + 44.4340i 0.352469 + 1.60025i
\(772\) −16.7344 + 14.0418i −0.602283 + 0.505376i
\(773\) 12.4101 0.446361 0.223181 0.974777i \(-0.428356\pi\)
0.223181 + 0.974777i \(0.428356\pi\)
\(774\) −15.8815 7.45872i −0.570850 0.268098i
\(775\) 9.07692i 0.326053i
\(776\) 2.74967 + 15.5941i 0.0987073 + 0.559797i
\(777\) −13.6625 20.0511i −0.490139 0.719329i
\(778\) −19.6055 + 7.13583i −0.702892 + 0.255832i
\(779\) 9.58884 11.4275i 0.343556 0.409434i
\(780\) 1.10766 1.43945i 0.0396607 0.0515405i
\(781\) 3.37257 + 1.22752i 0.120680 + 0.0439240i
\(782\) 1.08114 1.87260i 0.0386617 0.0669639i
\(783\) −1.70306 + 0.529290i −0.0608625 + 0.0189153i
\(784\) −3.10186 + 6.27523i −0.110781 + 0.224115i
\(785\) −1.28670 1.53342i −0.0459242 0.0547303i
\(786\) −17.6276 + 22.9077i −0.628756 + 0.817091i
\(787\) −3.81749 10.4885i −0.136079 0.373874i 0.852871 0.522121i \(-0.174859\pi\)
−0.988950 + 0.148247i \(0.952637\pi\)
\(788\) 7.19927 8.57975i 0.256463 0.305641i
\(789\) −11.6274 + 7.38511i −0.413947 + 0.262917i
\(790\) 2.63125 0.463961i 0.0936157 0.0165070i
\(791\) −37.3343 + 23.1919i −1.32746 + 0.824610i
\(792\) −4.44825 + 2.05944i −0.158062 + 0.0731789i
\(793\) 6.97358 + 12.0786i 0.247639 + 0.428924i
\(794\) 4.59738 + 26.0730i 0.163155 + 0.925297i
\(795\) 0.517894 0.114070i 0.0183678 0.00404566i
\(796\) −3.86903 10.6301i −0.137134 0.376773i
\(797\) 26.8374 + 22.5193i 0.950630 + 0.797673i 0.979404 0.201913i \(-0.0647157\pi\)
−0.0287736 + 0.999586i \(0.509160\pi\)
\(798\) −1.96677 7.73292i −0.0696228 0.273742i
\(799\) −0.610585 0.222235i −0.0216010 0.00786211i
\(800\) 4.23863 2.44717i 0.149858 0.0865206i
\(801\) 7.05375 + 1.91077i 0.249232 + 0.0675138i
\(802\) −15.7530 + 27.2850i −0.556257 + 0.963466i
\(803\) 14.5098 + 5.28114i 0.512040 + 0.186367i
\(804\) 17.5789 0.743392i 0.619962 0.0262174i
\(805\) −3.66398 + 4.66419i −0.129138 + 0.164391i
\(806\) −5.89223 1.03896i −0.207545 0.0365958i
\(807\) −6.30159 + 2.60010i −0.221826 + 0.0915277i
\(808\) −3.06876 + 8.43135i −0.107959 + 0.296614i
\(809\) 13.4753 7.77998i 0.473767 0.273530i −0.244048 0.969763i \(-0.578476\pi\)
0.717815 + 0.696234i \(0.245142\pi\)
\(810\) 1.47655 2.52541i 0.0518807 0.0887338i
\(811\) 3.74576i 0.131531i −0.997835 0.0657657i \(-0.979051\pi\)
0.997835 0.0657657i \(-0.0209490\pi\)
\(812\) 0.282894 0.862881i 0.00992763 0.0302812i
\(813\) −23.5064 + 30.5474i −0.824406 + 1.07135i
\(814\) 6.62726 + 5.56093i 0.232285 + 0.194911i
\(815\) −5.04809 4.23585i −0.176827 0.148375i
\(816\) −0.291140 0.458382i −0.0101919 0.0160466i
\(817\) −3.48296 + 9.56937i −0.121853 + 0.334790i
\(818\) 15.1065 + 26.1652i 0.528186 + 0.914845i
\(819\) −18.6333 17.5644i −0.651100 0.613750i
\(820\) −1.39240 + 2.41171i −0.0486248 + 0.0842206i
\(821\) −16.9480 20.1978i −0.591489 0.704910i 0.384402 0.923166i \(-0.374408\pi\)
−0.975892 + 0.218256i \(0.929963\pi\)
\(822\) 14.0987 + 4.46653i 0.491748 + 0.155788i
\(823\) −9.57518 + 54.3035i −0.333770 + 1.89290i 0.105286 + 0.994442i \(0.466424\pi\)
−0.439055 + 0.898460i \(0.644687\pi\)
\(824\) −15.7664 + 5.73852i −0.549250 + 0.199911i
\(825\) 4.18330 13.2046i 0.145644 0.459726i
\(826\) 8.64713 26.3754i 0.300872 0.917717i
\(827\) 0.142019 + 0.0819947i 0.00493848 + 0.00285123i 0.502467 0.864596i \(-0.332426\pi\)
−0.497529 + 0.867448i \(0.665759\pi\)
\(828\) −11.9141 + 16.9163i −0.414043 + 0.587881i
\(829\) −32.6203 18.8334i −1.13295 0.654109i −0.188275 0.982116i \(-0.560290\pi\)
−0.944675 + 0.328007i \(0.893623\pi\)
\(830\) −1.84946 2.20410i −0.0641957 0.0765054i
\(831\) −17.5090 27.5669i −0.607381 0.956285i
\(832\) 1.10341 + 3.03159i 0.0382538 + 0.105102i
\(833\) −2.00957 + 0.882004i −0.0696276 + 0.0305596i
\(834\) −3.24844 + 24.4159i −0.112484 + 0.845452i
\(835\) −1.00940 5.72462i −0.0349319 0.198109i
\(836\) 1.42251 + 2.46385i 0.0491984 + 0.0852141i
\(837\) −9.62566 0.459900i −0.332712 0.0158965i
\(838\) 29.1106 + 16.8070i 1.00561 + 0.580588i
\(839\) 0.147423 0.123703i 0.00508961 0.00427069i −0.640239 0.768176i \(-0.721165\pi\)
0.645329 + 0.763905i \(0.276720\pi\)
\(840\) 0.612251 + 1.35789i 0.0211247 + 0.0468516i
\(841\) 5.01534 28.4434i 0.172943 0.980807i
\(842\) −11.4789 2.02404i −0.395588 0.0697529i
\(843\) −21.8553 11.4152i −0.752737 0.393161i
\(844\) 12.2582 10.2859i 0.421945 0.354054i
\(845\) 0.842494 0.0289827
\(846\) 5.62783 + 2.64309i 0.193489 + 0.0908715i
\(847\) 11.6297 + 18.7215i 0.399602 + 0.643279i
\(848\) −0.322165 + 0.885141i −0.0110632 + 0.0303959i
\(849\) 5.33180 16.8299i 0.182987 0.577601i
\(850\) 1.51114 + 0.266455i 0.0518318 + 0.00913935i
\(851\) 35.9622 + 6.34111i 1.23277 + 0.217370i
\(852\) 1.14900 3.62684i 0.0393642 0.124254i
\(853\) 10.8426 29.7898i 0.371243 1.01998i −0.603638 0.797258i \(-0.706283\pi\)
0.974882 0.222724i \(-0.0714949\pi\)
\(854\) −11.4321 + 0.368926i −0.391197 + 0.0126244i
\(855\) −1.53683 0.721767i −0.0525585 0.0246839i
\(856\) 0.246515 0.00842570
\(857\) −39.7057 + 33.3171i −1.35632 + 1.13809i −0.379223 + 0.925305i \(0.623809\pi\)
−0.977099 + 0.212784i \(0.931747\pi\)
\(858\) 8.09289 + 4.22699i 0.276287 + 0.144307i
\(859\) 18.0371 + 3.18043i 0.615419 + 0.108515i 0.472664 0.881243i \(-0.343293\pi\)
0.142756 + 0.989758i \(0.454404\pi\)
\(860\) 0.330114 1.87217i 0.0112568 0.0638404i
\(861\) 31.8713 + 22.9273i 1.08617 + 0.781360i
\(862\) 24.3573 20.4382i 0.829613 0.696128i
\(863\) 45.6457 + 26.3536i 1.55380 + 0.897086i 0.997827 + 0.0658856i \(0.0209872\pi\)
0.555972 + 0.831201i \(0.312346\pi\)
\(864\) 2.38036 + 4.61886i 0.0809814 + 0.157137i
\(865\) −1.85505 3.21304i −0.0630736 0.109247i
\(866\) −0.197793 1.12174i −0.00672129 0.0381183i
\(867\) −3.86085 + 29.0189i −0.131121 + 0.985534i
\(868\) 3.03111 3.85855i 0.102883 0.130968i
\(869\) 4.59368 + 12.6210i 0.155830 + 0.428139i
\(870\) −0.103599 0.163110i −0.00351232 0.00552994i
\(871\) −21.0655 25.1049i −0.713778 0.850648i
\(872\) −11.8287 6.82931i −0.400571 0.231270i
\(873\) 27.3537 38.8383i 0.925784 1.31448i
\(874\) 10.3999 + 6.00439i 0.351782 + 0.203102i
\(875\) −8.08553 2.65083i −0.273341 0.0896142i
\(876\) 4.94335 15.6037i 0.167020 0.527202i
\(877\) −0.901126 + 0.327983i −0.0304289 + 0.0110752i −0.357190 0.934032i \(-0.616265\pi\)
0.326761 + 0.945107i \(0.394043\pi\)
\(878\) 3.29857 18.7071i 0.111321 0.631335i
\(879\) 18.9889 + 6.01580i 0.640481 + 0.202908i
\(880\) −0.341388 0.406850i −0.0115082 0.0137149i
\(881\) 8.40747 14.5622i 0.283255 0.490612i −0.688930 0.724828i \(-0.741919\pi\)
0.972185 + 0.234216i \(0.0752524\pi\)
\(882\) 19.9102 6.67722i 0.670410 0.224834i
\(883\) 7.72529 + 13.3806i 0.259977 + 0.450293i 0.966235 0.257661i \(-0.0829518\pi\)
−0.706259 + 0.707954i \(0.749618\pi\)
\(884\) −0.345936 + 0.950452i −0.0116351 + 0.0319672i
\(885\) −3.16666 4.98572i −0.106446 0.167593i
\(886\) −21.5980 18.1228i −0.725598 0.608849i
\(887\) −22.4813 18.8640i −0.754847 0.633392i 0.181933 0.983311i \(-0.441765\pi\)
−0.936780 + 0.349919i \(0.886209\pi\)
\(888\) 5.59271 7.26793i 0.187679 0.243896i
\(889\) 23.9196 21.4229i 0.802236 0.718501i
\(890\) 0.791802i 0.0265413i
\(891\) 13.7910 + 5.10523i 0.462014 + 0.171032i
\(892\) −5.61288 + 3.24060i −0.187933 + 0.108503i
\(893\) 1.23423 3.39103i 0.0413021 0.113476i
\(894\) −33.6793 + 13.8964i −1.12640 + 0.464765i
\(895\) 7.33456 + 1.29328i 0.245167 + 0.0432296i
\(896\) −2.61902 0.375150i −0.0874953 0.0125329i
\(897\) 38.5045 1.62831i 1.28563 0.0543676i
\(898\) −13.9516 5.07796i −0.465570 0.169454i
\(899\) −0.318262 + 0.551246i −0.0106146 + 0.0183851i
\(900\) −14.1723 3.83909i −0.472409 0.127970i
\(901\) −0.255751 + 0.147658i −0.00852029 + 0.00491919i
\(902\) −13.1546 4.78790i −0.438002 0.159420i
\(903\) −25.7980 7.26611i −0.858502 0.241801i
\(904\) −12.7256 10.6780i −0.423246 0.355145i
\(905\) 1.61306 + 4.43186i 0.0536201 + 0.147320i
\(906\) −3.04944 + 0.671663i −0.101311 + 0.0223145i
\(907\) 4.75015 + 26.9395i 0.157726 + 0.894510i 0.956251 + 0.292548i \(0.0945031\pi\)
−0.798525 + 0.601962i \(0.794386\pi\)
\(908\) 13.2660 + 22.9773i 0.440246 + 0.762529i
\(909\) 24.4265 11.3089i 0.810175 0.375092i
\(910\) 1.30900 2.44623i 0.0433928 0.0810916i
\(911\) −39.3537 + 6.93913i −1.30385 + 0.229904i −0.782077 0.623182i \(-0.785840\pi\)
−0.521771 + 0.853086i \(0.674728\pi\)
\(912\) 2.54573 1.61691i 0.0842977 0.0535414i
\(913\) 9.29701 11.0797i 0.307686 0.366686i
\(914\) 13.4052 + 36.8305i 0.443405 + 1.21825i
\(915\) −1.48431 + 1.92891i −0.0490697 + 0.0637678i
\(916\) −8.73559 10.4107i −0.288632 0.343978i
\(917\) −20.8317 + 38.9298i −0.687924 + 1.28558i
\(918\) −0.359129 + 1.58900i −0.0118530 + 0.0524448i
\(919\) 22.6392 39.2122i 0.746797 1.29349i −0.202554 0.979271i \(-0.564924\pi\)
0.949351 0.314219i \(-0.101743\pi\)
\(920\) −2.10659 0.766738i −0.0694524 0.0252786i
\(921\) 10.7601 13.9832i 0.354559 0.460762i
\(922\) 8.69622 10.3638i 0.286395 0.341312i
\(923\) −6.65897 + 2.42367i −0.219183 + 0.0797759i
\(924\) −6.18780 + 4.21627i −0.203564 + 0.138705i
\(925\) 4.49993 + 25.5204i 0.147957 + 0.839105i
\(926\) 2.99798i 0.0985196i
\(927\) 45.5605 + 21.3973i 1.49640 + 0.702781i
\(928\) 0.343219 0.0112667
\(929\) 24.5750 20.6208i 0.806278 0.676548i −0.143438 0.989659i \(-0.545816\pi\)
0.949716 + 0.313112i \(0.101371\pi\)
\(930\) −0.224590 1.01967i −0.00736459 0.0334362i
\(931\) −4.89842 11.1606i −0.160539 0.365775i
\(932\) 1.21189 1.44427i 0.0396966 0.0473086i
\(933\) −8.09064 2.56316i −0.264876 0.0839140i
\(934\) 5.04528 0.889619i 0.165087 0.0291092i
\(935\) 0.166510i 0.00544545i
\(936\) 4.11430 8.76042i 0.134480 0.286343i
\(937\) −12.3826 + 7.14909i −0.404522 + 0.233551i −0.688433 0.725300i \(-0.741701\pi\)
0.283912 + 0.958850i \(0.408368\pi\)
\(938\) 26.3037 5.51830i 0.858845 0.180179i
\(939\) 4.72859 3.00335i 0.154312 0.0980105i
\(940\) −0.116980 + 0.663427i −0.00381547 + 0.0216386i
\(941\) 40.9578 14.9074i 1.33518 0.485968i 0.426892 0.904303i \(-0.359608\pi\)
0.908293 + 0.418335i \(0.137386\pi\)
\(942\) −8.45352 6.50503i −0.275431 0.211945i
\(943\) −58.1915 + 10.2607i −1.89498 + 0.334135i
\(944\) 10.4910 0.341454
\(945\) 1.59318 4.17495i 0.0518261 0.135811i
\(946\) 9.55635 0.310704
\(947\) −21.0041 + 3.70358i −0.682540 + 0.120350i −0.504159 0.863611i \(-0.668197\pi\)
−0.178382 + 0.983961i \(0.557086\pi\)
\(948\) 13.1611 5.43040i 0.427452 0.176371i
\(949\) −28.6488 + 10.4273i −0.929981 + 0.338485i
\(950\) −1.47982 + 8.39249i −0.0480118 + 0.272288i
\(951\) 39.6430 + 20.7059i 1.28551 + 0.671435i
\(952\) −0.553400 0.617894i −0.0179358 0.0200261i
\(953\) −3.32480 + 1.91958i −0.107701 + 0.0621812i −0.552883 0.833259i \(-0.686472\pi\)
0.445182 + 0.895440i \(0.353139\pi\)
\(954\) 2.56434 1.18723i 0.0830237 0.0384381i
\(955\) 0.238714i 0.00772460i
\(956\) −25.9324 + 4.57258i −0.838714 + 0.147888i
\(957\) 0.717044 0.655245i 0.0231787 0.0211811i
\(958\) −9.51440 + 11.3388i −0.307396 + 0.366341i
\(959\) 22.3627 + 3.20325i 0.722130 + 0.103438i
\(960\) −0.415601 + 0.379782i −0.0134135 + 0.0122574i
\(961\) 21.1126 17.7156i 0.681052 0.571471i
\(962\) −17.0815 −0.550729
\(963\) −0.521502 0.524367i −0.0168052 0.0168975i
\(964\) 12.4438i 0.400787i
\(965\) 1.23301 + 6.99275i 0.0396920 + 0.225104i
\(966\) −13.7210 + 28.4719i −0.441466 + 0.916067i
\(967\) 10.2346 3.72510i 0.329124 0.119791i −0.172173 0.985067i \(-0.555079\pi\)
0.501297 + 0.865276i \(0.332857\pi\)
\(968\) −5.35455 + 6.38130i −0.172102 + 0.205103i
\(969\) 0.937248 + 0.124697i 0.0301088 + 0.00400585i
\(970\) 4.83656 + 1.76036i 0.155293 + 0.0565219i
\(971\) 18.4938 32.0321i 0.593493 1.02796i −0.400265 0.916400i \(-0.631082\pi\)
0.993758 0.111561i \(-0.0355849\pi\)
\(972\) 4.78924 14.8345i 0.153615 0.475818i
\(973\) 1.21356 + 37.6049i 0.0389048 + 1.20556i
\(974\) −24.1079 28.7307i −0.772468 0.920591i
\(975\) 10.4314 + 25.2814i 0.334071 + 0.809653i
\(976\) −1.47861 4.06244i −0.0473291 0.130036i
\(977\) −11.3890 + 13.5728i −0.364365 + 0.434233i −0.916815 0.399313i \(-0.869249\pi\)
0.552450 + 0.833546i \(0.313693\pi\)
\(978\) −31.1252 16.2570i −0.995273 0.519840i
\(979\) −3.91982 + 0.691171i −0.125278 + 0.0220899i
\(980\) 1.26233 + 1.89302i 0.0403237 + 0.0604703i
\(981\) 10.4969 + 39.6086i 0.335140 + 1.26460i
\(982\) −8.91418 15.4398i −0.284463 0.492704i
\(983\) −6.63552 37.6319i −0.211640 1.20027i −0.886642 0.462456i \(-0.846968\pi\)
0.675002 0.737816i \(-0.264143\pi\)
\(984\) −4.48166 + 14.1464i −0.142870 + 0.450971i
\(985\) −1.24513 3.42096i −0.0396730 0.109001i
\(986\) 0.0824298 + 0.0691668i 0.00262510 + 0.00220272i
\(987\) 9.14184 + 2.57484i 0.290988 + 0.0819581i
\(988\) −5.27856 1.92124i −0.167933 0.0611227i
\(989\) 34.9331 20.1687i 1.11081 0.641326i
\(990\) −0.143214 + 1.58686i −0.00455164 + 0.0504339i
\(991\) 22.2247 38.4944i 0.705992 1.22281i −0.260340 0.965517i \(-0.583835\pi\)
0.966332 0.257297i \(-0.0828319\pi\)
\(992\) 1.74273 + 0.634301i 0.0553317 + 0.0201391i
\(993\) −2.36954 + 4.53666i −0.0751951 + 0.143967i
\(994\) 0.824027 5.75274i 0.0261366 0.182466i
\(995\) −3.62112 0.638501i −0.114797 0.0202419i
\(996\) −12.1508 9.35014i −0.385014 0.296271i
\(997\) 20.4378 56.1524i 0.647272 1.77836i 0.0196995 0.999806i \(-0.493729\pi\)
0.627572 0.778558i \(-0.284049\pi\)
\(998\) −0.729308 + 0.421066i −0.0230858 + 0.0133286i
\(999\) −27.2912 + 3.47893i −0.863455 + 0.110069i
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 378.2.bf.a.5.18 yes 144
7.3 odd 6 378.2.ba.a.59.10 144
27.11 odd 18 378.2.ba.a.173.10 yes 144
189.38 even 18 inner 378.2.bf.a.227.18 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.ba.a.59.10 144 7.3 odd 6
378.2.ba.a.173.10 yes 144 27.11 odd 18
378.2.bf.a.5.18 yes 144 1.1 even 1 trivial
378.2.bf.a.227.18 yes 144 189.38 even 18 inner