Properties

Label 441.2.z.a.142.10
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), 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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.10
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.723275 + 1.84288i) q^{2} +(0.680185 + 1.59291i) q^{3} +(-1.40696 - 1.30547i) q^{4} +(-3.94781 + 1.90116i) q^{5} +(-3.42749 + 0.101386i) q^{6} +(2.61408 + 0.408177i) q^{7} +(-0.143911 + 0.0693038i) q^{8} +(-2.07470 + 2.16694i) q^{9} +O(q^{10})\) \(q+(-0.723275 + 1.84288i) q^{2} +(0.680185 + 1.59291i) q^{3} +(-1.40696 - 1.30547i) q^{4} +(-3.94781 + 1.90116i) q^{5} +(-3.42749 + 0.101386i) q^{6} +(2.61408 + 0.408177i) q^{7} +(-0.143911 + 0.0693038i) q^{8} +(-2.07470 + 2.16694i) q^{9} +(-0.648256 - 8.65038i) q^{10} +(2.48648 + 3.11795i) q^{11} +(1.12249 - 3.12911i) q^{12} +(-0.678891 + 1.72979i) q^{13} +(-2.64292 + 4.52219i) q^{14} +(-5.71361 - 4.99534i) q^{15} +(-0.310493 - 4.14324i) q^{16} +(2.33408 - 2.16571i) q^{17} +(-2.49282 - 5.39070i) q^{18} +(-0.202434 + 0.350626i) q^{19} +(8.03631 + 2.47887i) q^{20} +(1.12787 + 4.44161i) q^{21} +(-7.54441 + 2.32714i) q^{22} +(1.50220 - 6.58158i) q^{23} +(-0.208280 - 0.182097i) q^{24} +(8.85330 - 11.1017i) q^{25} +(-2.69676 - 2.50222i) q^{26} +(-4.86291 - 1.83088i) q^{27} +(-3.14504 - 3.98688i) q^{28} +(-2.69795 - 0.832207i) q^{29} +(13.3383 - 6.91647i) q^{30} +(-3.16958 + 5.48987i) q^{31} +(7.55478 + 2.33034i) q^{32} +(-3.27533 + 6.08151i) q^{33} +(2.30295 + 5.86783i) q^{34} +(-11.0959 + 3.35838i) q^{35} +(5.74789 - 0.340346i) q^{36} +(5.63752 + 1.73894i) q^{37} +(-0.499744 - 0.626659i) q^{38} +(-3.21716 + 0.0951645i) q^{39} +(0.436374 - 0.547196i) q^{40} +(3.76518 + 2.56705i) q^{41} +(-9.00110 - 1.13399i) q^{42} +(-6.79537 + 4.63300i) q^{43} +(0.572003 - 7.63285i) q^{44} +(4.07080 - 12.4990i) q^{45} +(11.0425 + 7.52867i) q^{46} +(-2.65056 + 6.75353i) q^{47} +(6.38859 - 3.31275i) q^{48} +(6.66678 + 2.13401i) q^{49} +(14.0557 + 24.3451i) q^{50} +(5.03738 + 2.24489i) q^{51} +(3.21335 - 1.54747i) q^{52} +(-3.75188 + 1.15730i) q^{53} +(6.89130 - 7.63751i) q^{54} +(-15.7439 - 7.58186i) q^{55} +(-0.404482 + 0.122424i) q^{56} +(-0.696206 - 0.0839678i) q^{57} +(3.48502 - 4.37007i) q^{58} +(2.71086 - 1.84823i) q^{59} +(1.51756 + 14.4872i) q^{60} +(-2.89903 + 2.68991i) q^{61} +(-7.82468 - 9.81183i) q^{62} +(-6.30791 + 4.81770i) q^{63} +(-4.57769 + 5.74024i) q^{64} +(-0.608476 - 8.11955i) q^{65} +(-8.83851 - 10.4346i) q^{66} +(0.467061 - 0.808973i) q^{67} -6.11123 q^{68} +(11.5056 - 2.08382i) q^{69} +(1.83630 - 22.8774i) q^{70} +(0.209646 - 0.918519i) q^{71} +(0.148394 - 0.455631i) q^{72} +(-2.49911 - 0.376680i) q^{73} +(-7.28213 + 9.13150i) q^{74} +(23.7058 + 6.55128i) q^{75} +(0.742547 - 0.229045i) q^{76} +(5.22718 + 9.16548i) q^{77} +(2.15152 - 5.99765i) q^{78} +(2.76974 + 4.79734i) q^{79} +(9.10273 + 15.7664i) q^{80} +(-0.391258 - 8.99149i) q^{81} +(-7.45402 + 5.08207i) q^{82} +(-0.437214 - 1.11400i) q^{83} +(4.21152 - 7.72156i) q^{84} +(-5.09713 + 12.9873i) q^{85} +(-3.62313 - 15.8740i) q^{86} +(-0.509476 - 4.86364i) q^{87} +(-0.573918 - 0.276384i) q^{88} +(-4.08389 - 10.4056i) q^{89} +(20.0898 + 16.5422i) q^{90} +(-2.48073 + 4.24469i) q^{91} +(-10.7056 + 7.29894i) q^{92} +(-10.9008 - 1.31472i) q^{93} +(-10.5288 - 9.76932i) q^{94} +(0.132573 - 1.76906i) q^{95} +(1.42663 + 13.6191i) q^{96} +(-4.31881 + 7.48040i) q^{97} +(-8.75464 + 10.7426i) q^{98} +(-11.9151 - 1.08075i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.723275 + 1.84288i −0.511433 + 1.30311i 0.409116 + 0.912482i \(0.365837\pi\)
−0.920549 + 0.390627i \(0.872258\pi\)
\(3\) 0.680185 + 1.59291i 0.392705 + 0.919665i
\(4\) −1.40696 1.30547i −0.703480 0.652734i
\(5\) −3.94781 + 1.90116i −1.76551 + 0.850226i −0.795957 + 0.605353i \(0.793032\pi\)
−0.969555 + 0.244873i \(0.921254\pi\)
\(6\) −3.42749 + 0.101386i −1.39927 + 0.0413907i
\(7\) 2.61408 + 0.408177i 0.988028 + 0.154276i
\(8\) −0.143911 + 0.0693038i −0.0508802 + 0.0245026i
\(9\) −2.07470 + 2.16694i −0.691566 + 0.722313i
\(10\) −0.648256 8.65038i −0.204997 2.73549i
\(11\) 2.48648 + 3.11795i 0.749703 + 0.940098i 0.999603 0.0281741i \(-0.00896927\pi\)
−0.249900 + 0.968272i \(0.580398\pi\)
\(12\) 1.12249 3.12911i 0.324036 0.903297i
\(13\) −0.678891 + 1.72979i −0.188291 + 0.479757i −0.993581 0.113124i \(-0.963914\pi\)
0.805290 + 0.592881i \(0.202009\pi\)
\(14\) −2.64292 + 4.52219i −0.706349 + 1.20861i
\(15\) −5.71361 4.99534i −1.47525 1.28979i
\(16\) −0.310493 4.14324i −0.0776232 1.03581i
\(17\) 2.33408 2.16571i 0.566098 0.525262i −0.344374 0.938833i \(-0.611909\pi\)
0.910472 + 0.413570i \(0.135718\pi\)
\(18\) −2.49282 5.39070i −0.587564 1.27060i
\(19\) −0.202434 + 0.350626i −0.0464415 + 0.0804390i −0.888312 0.459241i \(-0.848121\pi\)
0.841870 + 0.539680i \(0.181455\pi\)
\(20\) 8.03631 + 2.47887i 1.79697 + 0.554293i
\(21\) 1.12787 + 4.44161i 0.246121 + 0.969239i
\(22\) −7.54441 + 2.32714i −1.60847 + 0.496148i
\(23\) 1.50220 6.58158i 0.313231 1.37235i −0.535949 0.844251i \(-0.680046\pi\)
0.849180 0.528104i \(-0.177097\pi\)
\(24\) −0.208280 0.182097i −0.0425151 0.0371704i
\(25\) 8.85330 11.1017i 1.77066 2.22034i
\(26\) −2.69676 2.50222i −0.528878 0.490727i
\(27\) −4.86291 1.83088i −0.935867 0.352353i
\(28\) −3.14504 3.98688i −0.594356 0.753449i
\(29\) −2.69795 0.832207i −0.500997 0.154537i 0.0339488 0.999424i \(-0.489192\pi\)
−0.534946 + 0.844887i \(0.679668\pi\)
\(30\) 13.3383 6.91647i 2.43523 1.26277i
\(31\) −3.16958 + 5.48987i −0.569274 + 0.986011i 0.427364 + 0.904079i \(0.359442\pi\)
−0.996638 + 0.0819312i \(0.973891\pi\)
\(32\) 7.55478 + 2.33034i 1.33551 + 0.411950i
\(33\) −3.27533 + 6.08151i −0.570163 + 1.05866i
\(34\) 2.30295 + 5.86783i 0.394953 + 1.00632i
\(35\) −11.0959 + 3.35838i −1.87555 + 0.567670i
\(36\) 5.74789 0.340346i 0.957981 0.0567243i
\(37\) 5.63752 + 1.73894i 0.926802 + 0.285880i 0.721177 0.692750i \(-0.243601\pi\)
0.205624 + 0.978631i \(0.434077\pi\)
\(38\) −0.499744 0.626659i −0.0810692 0.101658i
\(39\) −3.21716 + 0.0951645i −0.515158 + 0.0152385i
\(40\) 0.436374 0.547196i 0.0689968 0.0865193i
\(41\) 3.76518 + 2.56705i 0.588022 + 0.400907i 0.820459 0.571705i \(-0.193718\pi\)
−0.232437 + 0.972611i \(0.574670\pi\)
\(42\) −9.00110 1.13399i −1.38890 0.174979i
\(43\) −6.79537 + 4.63300i −1.03628 + 0.706526i −0.956930 0.290320i \(-0.906238\pi\)
−0.0793542 + 0.996846i \(0.525286\pi\)
\(44\) 0.572003 7.63285i 0.0862327 1.15070i
\(45\) 4.07080 12.4990i 0.606839 1.86324i
\(46\) 11.0425 + 7.52867i 1.62813 + 1.11004i
\(47\) −2.65056 + 6.75353i −0.386625 + 0.985103i 0.596573 + 0.802559i \(0.296529\pi\)
−0.983198 + 0.182544i \(0.941567\pi\)
\(48\) 6.38859 3.31275i 0.922114 0.478155i
\(49\) 6.66678 + 2.13401i 0.952398 + 0.304859i
\(50\) 14.0557 + 24.3451i 1.98777 + 3.44292i
\(51\) 5.03738 + 2.24489i 0.705375 + 0.314347i
\(52\) 3.21335 1.54747i 0.445612 0.214595i
\(53\) −3.75188 + 1.15730i −0.515361 + 0.158968i −0.541516 0.840690i \(-0.682150\pi\)
0.0261557 + 0.999658i \(0.491673\pi\)
\(54\) 6.89130 7.63751i 0.937788 1.03933i
\(55\) −15.7439 7.58186i −2.12290 1.02234i
\(56\) −0.404482 + 0.122424i −0.0540512 + 0.0163596i
\(57\) −0.696206 0.0839678i −0.0922147 0.0111218i
\(58\) 3.48502 4.37007i 0.457605 0.573819i
\(59\) 2.71086 1.84823i 0.352924 0.240620i −0.373861 0.927485i \(-0.621966\pi\)
0.726785 + 0.686865i \(0.241014\pi\)
\(60\) 1.51756 + 14.4872i 0.195916 + 1.87029i
\(61\) −2.89903 + 2.68991i −0.371183 + 0.344407i −0.843604 0.536966i \(-0.819571\pi\)
0.472421 + 0.881373i \(0.343380\pi\)
\(62\) −7.82468 9.81183i −0.993735 1.24610i
\(63\) −6.30791 + 4.81770i −0.794722 + 0.606973i
\(64\) −4.57769 + 5.74024i −0.572211 + 0.717530i
\(65\) −0.608476 8.11955i −0.0754721 1.00711i
\(66\) −8.83851 10.4346i −1.08794 1.28442i
\(67\) 0.467061 0.808973i 0.0570605 0.0988318i −0.836084 0.548601i \(-0.815161\pi\)
0.893145 + 0.449769i \(0.148494\pi\)
\(68\) −6.11123 −0.741095
\(69\) 11.5056 2.08382i 1.38511 0.250863i
\(70\) 1.83630 22.8774i 0.219479 2.73437i
\(71\) 0.209646 0.918519i 0.0248804 0.109008i −0.960963 0.276677i \(-0.910767\pi\)
0.985843 + 0.167669i \(0.0536239\pi\)
\(72\) 0.148394 0.455631i 0.0174884 0.0536966i
\(73\) −2.49911 0.376680i −0.292499 0.0440871i 0.00115366 0.999999i \(-0.499633\pi\)
−0.293653 + 0.955912i \(0.594871\pi\)
\(74\) −7.28213 + 9.13150i −0.846531 + 1.06152i
\(75\) 23.7058 + 6.55128i 2.73731 + 0.756476i
\(76\) 0.742547 0.229045i 0.0851759 0.0262733i
\(77\) 5.22718 + 9.16548i 0.595692 + 1.04450i
\(78\) 2.15152 5.99765i 0.243611 0.679101i
\(79\) 2.76974 + 4.79734i 0.311620 + 0.539743i 0.978713 0.205232i \(-0.0657949\pi\)
−0.667093 + 0.744975i \(0.732462\pi\)
\(80\) 9.10273 + 15.7664i 1.01772 + 1.76274i
\(81\) −0.391258 8.99149i −0.0434731 0.999055i
\(82\) −7.45402 + 5.08207i −0.823159 + 0.561220i
\(83\) −0.437214 1.11400i −0.0479905 0.122278i 0.904869 0.425691i \(-0.139969\pi\)
−0.952859 + 0.303413i \(0.901874\pi\)
\(84\) 4.21152 7.72156i 0.459514 0.842491i
\(85\) −5.09713 + 12.9873i −0.552862 + 1.40867i
\(86\) −3.62313 15.8740i −0.390692 1.71173i
\(87\) −0.509476 4.86364i −0.0546216 0.521436i
\(88\) −0.573918 0.276384i −0.0611799 0.0294627i
\(89\) −4.08389 10.4056i −0.432891 1.10299i −0.966366 0.257172i \(-0.917209\pi\)
0.533475 0.845816i \(-0.320886\pi\)
\(90\) 20.0898 + 16.5422i 2.11765 + 1.74370i
\(91\) −2.48073 + 4.24469i −0.260051 + 0.444964i
\(92\) −10.7056 + 7.29894i −1.11613 + 0.760967i
\(93\) −10.9008 1.31472i −1.13036 0.136330i
\(94\) −10.5288 9.76932i −1.08597 1.00763i
\(95\) 0.132573 1.76906i 0.0136017 0.181502i
\(96\) 1.42663 + 13.6191i 0.145605 + 1.38999i
\(97\) −4.31881 + 7.48040i −0.438509 + 0.759520i −0.997575 0.0696035i \(-0.977827\pi\)
0.559066 + 0.829123i \(0.311160\pi\)
\(98\) −8.75464 + 10.7426i −0.884352 + 1.08516i
\(99\) −11.9151 1.08075i −1.19751 0.108619i
\(100\) −26.9491 + 4.06193i −2.69491 + 0.406193i
\(101\) 2.46954 1.18927i 0.245729 0.118337i −0.306966 0.951720i \(-0.599314\pi\)
0.552695 + 0.833384i \(0.313600\pi\)
\(102\) −7.78047 + 7.65960i −0.770381 + 0.758413i
\(103\) −13.4409 + 6.47282i −1.32438 + 0.637786i −0.956403 0.292051i \(-0.905662\pi\)
−0.367973 + 0.929837i \(0.619948\pi\)
\(104\) −0.0221810 0.295985i −0.00217503 0.0290237i
\(105\) −12.8968 15.3904i −1.25860 1.50195i
\(106\) 0.580880 7.75130i 0.0564200 0.752873i
\(107\) 3.65853 + 9.32177i 0.353683 + 0.901170i 0.991396 + 0.130896i \(0.0417854\pi\)
−0.637713 + 0.770274i \(0.720119\pi\)
\(108\) 4.45176 + 8.92434i 0.428371 + 0.858745i
\(109\) −1.95007 + 4.96869i −0.186782 + 0.475914i −0.993337 0.115246i \(-0.963234\pi\)
0.806555 + 0.591160i \(0.201330\pi\)
\(110\) 25.3596 23.5303i 2.41794 2.24352i
\(111\) 1.06458 + 10.1628i 0.101045 + 0.964613i
\(112\) 0.879523 10.9575i 0.0831071 1.03538i
\(113\) 6.58256 + 0.992162i 0.619235 + 0.0933347i 0.451165 0.892440i \(-0.351008\pi\)
0.168070 + 0.985775i \(0.446247\pi\)
\(114\) 0.658291 1.22229i 0.0616546 0.114478i
\(115\) 6.58225 + 28.8387i 0.613798 + 2.68923i
\(116\) 2.70949 + 4.69297i 0.251570 + 0.435731i
\(117\) −2.33985 5.05990i −0.216319 0.467788i
\(118\) 1.44537 + 6.33256i 0.133057 + 0.582959i
\(119\) 6.98546 4.70862i 0.640356 0.431638i
\(120\) 1.16845 + 0.322909i 0.106664 + 0.0294774i
\(121\) −1.09129 + 4.78125i −0.0992082 + 0.434659i
\(122\) −2.86037 7.28809i −0.258965 0.659833i
\(123\) −1.52806 + 7.74364i −0.137781 + 0.698221i
\(124\) 11.6263 3.58625i 1.04407 0.322054i
\(125\) −8.96986 + 39.2995i −0.802288 + 3.51506i
\(126\) −4.31607 15.1092i −0.384506 1.34604i
\(127\) −3.96076 17.3532i −0.351460 1.53985i −0.773812 0.633416i \(-0.781652\pi\)
0.422351 0.906432i \(-0.361205\pi\)
\(128\) 0.638396 + 1.10573i 0.0564268 + 0.0977341i
\(129\) −12.0020 7.67308i −1.05672 0.675577i
\(130\) 15.4034 + 4.75132i 1.35097 + 0.416719i
\(131\) −1.90560 0.917688i −0.166493 0.0801788i 0.348781 0.937204i \(-0.386596\pi\)
−0.515274 + 0.857025i \(0.672310\pi\)
\(132\) 12.5475 4.28060i 1.09212 0.372579i
\(133\) −0.672295 + 0.833933i −0.0582953 + 0.0723112i
\(134\) 1.15302 + 1.44584i 0.0996060 + 0.124902i
\(135\) 22.6786 2.01723i 1.95186 0.173615i
\(136\) −0.185808 + 0.473430i −0.0159329 + 0.0405963i
\(137\) 17.9145 + 8.62717i 1.53054 + 0.737069i 0.994262 0.106973i \(-0.0341158\pi\)
0.536277 + 0.844042i \(0.319830\pi\)
\(138\) −4.48150 + 22.7106i −0.381491 + 1.93325i
\(139\) 11.7653 + 8.02145i 0.997920 + 0.680371i 0.947963 0.318381i \(-0.103139\pi\)
0.0499574 + 0.998751i \(0.484091\pi\)
\(140\) 19.9957 + 9.76020i 1.68995 + 0.824887i
\(141\) −12.5606 + 0.371546i −1.05779 + 0.0312898i
\(142\) 1.54108 + 1.05069i 0.129325 + 0.0881723i
\(143\) −7.08144 + 2.18434i −0.592180 + 0.182663i
\(144\) 9.62233 + 7.92315i 0.801860 + 0.660262i
\(145\) 12.2331 1.84385i 1.01591 0.153123i
\(146\) 2.50172 4.33311i 0.207044 0.358611i
\(147\) 1.13536 + 12.0711i 0.0936432 + 0.995606i
\(148\) −5.66162 9.80622i −0.465382 0.806066i
\(149\) 0.649742 + 0.814751i 0.0532289 + 0.0667470i 0.807733 0.589548i \(-0.200694\pi\)
−0.754504 + 0.656295i \(0.772123\pi\)
\(150\) −29.2190 + 38.9485i −2.38572 + 3.18013i
\(151\) 4.91158 21.5190i 0.399699 1.75119i −0.228887 0.973453i \(-0.573509\pi\)
0.628585 0.777741i \(-0.283634\pi\)
\(152\) 0.00483273 0.0644883i 0.000391986 0.00523069i
\(153\) −0.149548 + 9.55102i −0.0120902 + 0.772154i
\(154\) −20.6715 + 3.00387i −1.66576 + 0.242059i
\(155\) 2.07574 27.6989i 0.166728 2.22483i
\(156\) 4.65065 + 4.06600i 0.372350 + 0.325541i
\(157\) −4.71982 + 3.21792i −0.376683 + 0.256818i −0.736831 0.676077i \(-0.763679\pi\)
0.360148 + 0.932895i \(0.382726\pi\)
\(158\) −10.8442 + 1.63450i −0.862717 + 0.130034i
\(159\) −4.39545 5.18922i −0.348582 0.411532i
\(160\) −34.2552 + 5.16313i −2.70811 + 0.408182i
\(161\) 6.61332 16.5916i 0.521203 1.30760i
\(162\) 16.8532 + 5.78228i 1.32411 + 0.454299i
\(163\) −11.8375 + 8.07065i −0.927183 + 0.632142i −0.929884 0.367854i \(-0.880093\pi\)
0.00270105 + 0.999996i \(0.499140\pi\)
\(164\) −1.94625 8.52706i −0.151976 0.665851i
\(165\) 1.36843 30.2356i 0.106532 2.35384i
\(166\) 2.36920 0.183885
\(167\) −8.25379 + 7.65840i −0.638698 + 0.592625i −0.931586 0.363522i \(-0.881574\pi\)
0.292888 + 0.956147i \(0.405384\pi\)
\(168\) −0.470133 0.561031i −0.0362715 0.0432845i
\(169\) 6.99840 + 6.49357i 0.538339 + 0.499505i
\(170\) −20.2473 18.7868i −1.55290 1.44088i
\(171\) −0.339796 1.16610i −0.0259848 0.0891742i
\(172\) 15.6090 + 2.35268i 1.19018 + 0.179391i
\(173\) −17.2040 + 5.30674i −1.30800 + 0.403464i −0.868906 0.494977i \(-0.835176\pi\)
−0.439093 + 0.898442i \(0.644700\pi\)
\(174\) 9.33157 + 2.57885i 0.707424 + 0.195502i
\(175\) 27.6747 25.4069i 2.09201 1.92058i
\(176\) 12.1464 11.2702i 0.915567 0.849522i
\(177\) 4.78795 + 3.06101i 0.359884 + 0.230079i
\(178\) 22.1299 1.65871
\(179\) 14.3018 13.2702i 1.06897 0.991859i 0.0689868 0.997618i \(-0.478023\pi\)
0.999983 + 0.00575811i \(0.00183287\pi\)
\(180\) −22.0445 + 12.2713i −1.64310 + 0.914648i
\(181\) 14.4337 18.0993i 1.07285 1.34531i 0.137930 0.990442i \(-0.455955\pi\)
0.934917 0.354866i \(-0.115473\pi\)
\(182\) −6.02818 7.64176i −0.446838 0.566445i
\(183\) −6.25664 2.78825i −0.462504 0.206113i
\(184\) 0.239945 + 1.05127i 0.0176890 + 0.0775006i
\(185\) −25.5618 + 3.85283i −1.87934 + 0.283265i
\(186\) 10.3071 19.1378i 0.755753 1.40325i
\(187\) 12.5562 + 1.89255i 0.918203 + 0.138397i
\(188\) 12.5457 6.04171i 0.914993 0.440637i
\(189\) −11.9647 6.77098i −0.870303 0.492517i
\(190\) 3.16427 + 1.52383i 0.229561 + 0.110551i
\(191\) −7.24578 4.94009i −0.524286 0.357452i 0.272073 0.962277i \(-0.412291\pi\)
−0.796359 + 0.604824i \(0.793243\pi\)
\(192\) −12.2573 3.38741i −0.884597 0.244465i
\(193\) 1.43806 19.1896i 0.103514 1.38130i −0.667563 0.744554i \(-0.732662\pi\)
0.771076 0.636743i \(-0.219719\pi\)
\(194\) −10.6618 13.3694i −0.765470 0.959869i
\(195\) 12.5198 6.49204i 0.896561 0.464904i
\(196\) −6.59401 11.7057i −0.471001 0.836124i
\(197\) −7.19239 −0.512437 −0.256218 0.966619i \(-0.582477\pi\)
−0.256218 + 0.966619i \(0.582477\pi\)
\(198\) 10.6096 21.1764i 0.753991 1.50494i
\(199\) 17.4296 + 11.8833i 1.23555 + 0.842384i 0.991843 0.127465i \(-0.0406842\pi\)
0.243707 + 0.969849i \(0.421637\pi\)
\(200\) −0.504697 + 2.21122i −0.0356875 + 0.156357i
\(201\) 1.60630 + 0.193733i 0.113300 + 0.0136649i
\(202\) 0.405516 + 5.41123i 0.0285320 + 0.380733i
\(203\) −6.71296 3.27669i −0.471157 0.229979i
\(204\) −4.15676 9.73461i −0.291032 0.681559i
\(205\) −19.7446 2.97602i −1.37902 0.207854i
\(206\) −2.20709 29.4516i −0.153775 2.05199i
\(207\) 11.1453 + 16.9100i 0.774650 + 1.17532i
\(208\) 7.37771 + 2.27572i 0.511552 + 0.157793i
\(209\) −1.59658 + 0.240646i −0.110438 + 0.0166458i
\(210\) 37.6905 12.6358i 2.60089 0.871951i
\(211\) 6.68836 + 1.00811i 0.460446 + 0.0694010i 0.375169 0.926956i \(-0.377585\pi\)
0.0852763 + 0.996357i \(0.472823\pi\)
\(212\) 6.78957 + 3.26968i 0.466309 + 0.224563i
\(213\) 1.60571 0.290816i 0.110022 0.0199264i
\(214\) −19.8250 −1.35521
\(215\) 18.0187 31.2093i 1.22886 2.12846i
\(216\) 0.826712 0.0735348i 0.0562507 0.00500341i
\(217\) −10.5264 + 13.0572i −0.714576 + 0.886380i
\(218\) −7.74624 7.18746i −0.524641 0.486796i
\(219\) −1.09984 4.23706i −0.0743204 0.286314i
\(220\) 12.2531 + 31.2205i 0.826107 + 2.10489i
\(221\) 2.16163 + 5.50775i 0.145407 + 0.370491i
\(222\) −19.4988 5.38864i −1.30868 0.361662i
\(223\) 14.0039 + 12.9938i 0.937773 + 0.870126i 0.991720 0.128418i \(-0.0409898\pi\)
−0.0539472 + 0.998544i \(0.517180\pi\)
\(224\) 18.7976 + 9.17537i 1.25597 + 0.613055i
\(225\) 5.68877 + 42.2172i 0.379251 + 2.81448i
\(226\) −6.58944 + 11.4132i −0.438323 + 0.759197i
\(227\) 14.8010 0.982378 0.491189 0.871053i \(-0.336562\pi\)
0.491189 + 0.871053i \(0.336562\pi\)
\(228\) 0.869916 + 1.02701i 0.0576116 + 0.0680156i
\(229\) 3.14012 + 1.51220i 0.207505 + 0.0999292i 0.534750 0.845010i \(-0.320406\pi\)
−0.327245 + 0.944940i \(0.606120\pi\)
\(230\) −57.9070 8.72807i −3.81827 0.575512i
\(231\) −11.0443 + 14.5606i −0.726662 + 0.958019i
\(232\) 0.445940 0.0672146i 0.0292774 0.00441285i
\(233\) −7.24777 2.23564i −0.474817 0.146462i 0.0481046 0.998842i \(-0.484682\pi\)
−0.522922 + 0.852381i \(0.675158\pi\)
\(234\) 11.0171 0.652350i 0.720212 0.0426455i
\(235\) −2.37564 31.7008i −0.154970 2.06793i
\(236\) −6.22688 0.938551i −0.405335 0.0610945i
\(237\) −5.75777 + 7.67501i −0.374007 + 0.498546i
\(238\) 3.62498 + 16.2790i 0.234973 + 1.05521i
\(239\) 0.656246 + 8.75699i 0.0424490 + 0.566443i 0.977363 + 0.211569i \(0.0678572\pi\)
−0.934914 + 0.354874i \(0.884524\pi\)
\(240\) −18.9228 + 25.2239i −1.22146 + 1.62819i
\(241\) 3.37001 14.7650i 0.217082 0.951096i −0.742540 0.669802i \(-0.766379\pi\)
0.959621 0.281295i \(-0.0907638\pi\)
\(242\) −8.02195 5.46928i −0.515671 0.351578i
\(243\) 14.0565 6.73911i 0.901723 0.432314i
\(244\) 7.59040 0.485926
\(245\) −30.3763 + 4.24998i −1.94067 + 0.271521i
\(246\) −13.1654 8.41681i −0.839393 0.536636i
\(247\) −0.469077 0.588204i −0.0298467 0.0374265i
\(248\) 0.0756678 1.00972i 0.00480491 0.0641171i
\(249\) 1.47712 1.45417i 0.0936084 0.0921542i
\(250\) −65.9364 44.9547i −4.17019 2.84318i
\(251\) 5.97787 + 2.87879i 0.377320 + 0.181708i 0.612925 0.790141i \(-0.289993\pi\)
−0.235605 + 0.971849i \(0.575707\pi\)
\(252\) 15.1643 + 1.45646i 0.955263 + 0.0917487i
\(253\) 24.2562 11.6812i 1.52498 0.734390i
\(254\) 34.8445 + 5.25197i 2.18634 + 0.329538i
\(255\) −24.1545 + 0.714497i −1.51261 + 0.0447436i
\(256\) −17.0196 + 2.56528i −1.06372 + 0.160330i
\(257\) 1.63975 + 7.18423i 0.102285 + 0.448140i 0.999972 + 0.00750600i \(0.00238926\pi\)
−0.897687 + 0.440634i \(0.854754\pi\)
\(258\) 22.8213 16.5685i 1.42079 1.03151i
\(259\) 14.0271 + 6.84683i 0.871601 + 0.425442i
\(260\) −9.74370 + 12.2182i −0.604279 + 0.757742i
\(261\) 7.40078 4.11972i 0.458097 0.255004i
\(262\) 3.06946 2.84804i 0.189632 0.175953i
\(263\) 4.00890 0.247199 0.123600 0.992332i \(-0.460556\pi\)
0.123600 + 0.992332i \(0.460556\pi\)
\(264\) 0.0498840 1.10219i 0.00307015 0.0678351i
\(265\) 12.6115 11.7017i 0.774717 0.718833i
\(266\) −1.05058 1.84212i −0.0644152 0.112948i
\(267\) 13.7973 13.5830i 0.844381 0.831263i
\(268\) −1.71322 + 0.528459i −0.104652 + 0.0322808i
\(269\) −1.64294 0.247633i −0.100172 0.0150984i 0.0987652 0.995111i \(-0.468511\pi\)
−0.198937 + 0.980012i \(0.563749\pi\)
\(270\) −12.6854 + 43.2529i −0.772008 + 2.63229i
\(271\) −0.126305 0.117194i −0.00767249 0.00711903i 0.676327 0.736601i \(-0.263571\pi\)
−0.684000 + 0.729482i \(0.739761\pi\)
\(272\) −9.69778 8.99822i −0.588014 0.545597i
\(273\) −8.44874 1.06440i −0.511341 0.0644206i
\(274\) −28.8559 + 26.7744i −1.74325 + 1.61750i
\(275\) 56.6281 3.41480
\(276\) −18.9083 12.0884i −1.13815 0.727633i
\(277\) 6.88354 + 30.1587i 0.413592 + 1.81206i 0.566784 + 0.823867i \(0.308188\pi\)
−0.153192 + 0.988196i \(0.548955\pi\)
\(278\) −23.2921 + 15.8803i −1.39697 + 0.952436i
\(279\) −5.32031 18.2581i −0.318518 1.09309i
\(280\) 1.36407 1.25229i 0.0815187 0.0748389i
\(281\) 17.7004 2.66790i 1.05592 0.159154i 0.401938 0.915667i \(-0.368337\pi\)
0.653978 + 0.756513i \(0.273099\pi\)
\(282\) 8.40006 23.4164i 0.500216 1.39442i
\(283\) −9.10178 + 1.37187i −0.541045 + 0.0815493i −0.413879 0.910332i \(-0.635826\pi\)
−0.127166 + 0.991881i \(0.540588\pi\)
\(284\) −1.49406 + 1.01863i −0.0886562 + 0.0604448i
\(285\) 2.90812 0.992113i 0.172262 0.0587677i
\(286\) 1.09637 14.6301i 0.0648300 0.865096i
\(287\) 8.79465 + 8.24733i 0.519132 + 0.486825i
\(288\) −20.7236 + 11.5360i −1.22115 + 0.679765i
\(289\) −0.512779 + 6.84256i −0.0301635 + 0.402504i
\(290\) −5.44995 + 23.8778i −0.320032 + 1.40215i
\(291\) −14.8532 1.79141i −0.870708 0.105014i
\(292\) 3.02440 + 3.79248i 0.176990 + 0.221938i
\(293\) −7.94478 13.7608i −0.464139 0.803912i 0.535023 0.844837i \(-0.320303\pi\)
−0.999162 + 0.0409253i \(0.986969\pi\)
\(294\) −23.0667 6.63838i −1.34528 0.387158i
\(295\) −7.18816 + 12.4503i −0.418511 + 0.724882i
\(296\) −0.931815 + 0.140449i −0.0541607 + 0.00816341i
\(297\) −6.38295 19.7148i −0.370376 1.14397i
\(298\) −1.97143 + 0.608104i −0.114202 + 0.0352265i
\(299\) 10.3649 + 7.06667i 0.599418 + 0.408676i
\(300\) −24.8007 40.1646i −1.43187 2.31890i
\(301\) −19.6547 + 9.33731i −1.13288 + 0.538193i
\(302\) 36.1045 + 24.6156i 2.07758 + 1.41647i
\(303\) 3.57414 + 3.12483i 0.205329 + 0.179517i
\(304\) 1.51558 + 0.729865i 0.0869244 + 0.0418606i
\(305\) 6.33086 16.1308i 0.362504 0.923644i
\(306\) −17.4932 7.18361i −1.00002 0.410660i
\(307\) 11.6780 + 14.6438i 0.666501 + 0.835766i 0.994034 0.109074i \(-0.0347884\pi\)
−0.327532 + 0.944840i \(0.606217\pi\)
\(308\) 4.61082 19.7194i 0.262726 1.12362i
\(309\) −19.4529 17.0074i −1.10664 0.967520i
\(310\) 49.5442 + 23.8592i 2.81392 + 1.35511i
\(311\) −2.77121 0.854806i −0.157141 0.0484716i 0.215187 0.976573i \(-0.430964\pi\)
−0.372328 + 0.928101i \(0.621440\pi\)
\(312\) 0.456389 0.236657i 0.0258379 0.0133980i
\(313\) 5.46821 + 9.47122i 0.309082 + 0.535345i 0.978162 0.207845i \(-0.0666450\pi\)
−0.669080 + 0.743190i \(0.733312\pi\)
\(314\) −2.51650 11.0255i −0.142014 0.622204i
\(315\) 15.7432 31.0117i 0.887028 1.74731i
\(316\) 2.36585 10.3655i 0.133089 0.583103i
\(317\) 16.2360 5.00813i 0.911902 0.281284i 0.196914 0.980421i \(-0.436908\pi\)
0.714988 + 0.699136i \(0.246432\pi\)
\(318\) 12.7422 4.34703i 0.714547 0.243769i
\(319\) −4.11363 10.4813i −0.230319 0.586843i
\(320\) 7.15870 31.3643i 0.400183 1.75332i
\(321\) −12.3602 + 12.1682i −0.689881 + 0.679164i
\(322\) 25.7930 + 24.1878i 1.43739 + 1.34793i
\(323\) 0.286857 + 1.25680i 0.0159612 + 0.0699304i
\(324\) −11.1876 + 13.1614i −0.621534 + 0.731191i
\(325\) 13.1931 + 22.8512i 0.731823 + 1.26755i
\(326\) −6.31146 27.6523i −0.349559 1.53152i
\(327\) −9.24106 + 0.273353i −0.511032 + 0.0151165i
\(328\) −0.719757 0.108486i −0.0397419 0.00599013i
\(329\) −9.68541 + 16.5723i −0.533974 + 0.913662i
\(330\) 54.7307 + 24.3905i 3.01282 + 1.34265i
\(331\) −2.18298 + 2.02551i −0.119987 + 0.111332i −0.737885 0.674927i \(-0.764175\pi\)
0.617897 + 0.786259i \(0.287985\pi\)
\(332\) −0.839153 + 2.13813i −0.0460545 + 0.117345i
\(333\) −15.4643 + 8.60838i −0.847440 + 0.471736i
\(334\) −8.14371 20.7498i −0.445604 1.13538i
\(335\) −0.305876 + 4.08163i −0.0167118 + 0.223003i
\(336\) 18.0525 6.05211i 0.984842 0.330169i
\(337\) −2.43903 32.5467i −0.132863 1.77293i −0.523154 0.852238i \(-0.675245\pi\)
0.390292 0.920691i \(-0.372374\pi\)
\(338\) −17.0286 + 8.20055i −0.926235 + 0.446051i
\(339\) 2.89694 + 11.1603i 0.157340 + 0.606142i
\(340\) 24.1259 11.6184i 1.30841 0.630098i
\(341\) −24.9983 + 3.76788i −1.35373 + 0.204042i
\(342\) 2.39475 + 0.217213i 0.129493 + 0.0117455i
\(343\) 16.5564 + 8.29970i 0.893963 + 0.448141i
\(344\) 0.656843 1.13768i 0.0354146 0.0613398i
\(345\) −41.4602 + 30.1006i −2.23214 + 1.62056i
\(346\) 2.66359 35.5431i 0.143196 1.91081i
\(347\) 6.76235 + 6.27454i 0.363022 + 0.336835i 0.840503 0.541807i \(-0.182260\pi\)
−0.477481 + 0.878642i \(0.658450\pi\)
\(348\) −5.63251 + 7.50804i −0.301934 + 0.402473i
\(349\) 1.71626 1.17013i 0.0918694 0.0626355i −0.516514 0.856279i \(-0.672771\pi\)
0.608384 + 0.793643i \(0.291818\pi\)
\(350\) 26.8054 + 69.3772i 1.43281 + 3.70837i
\(351\) 6.46842 7.16883i 0.345259 0.382644i
\(352\) 11.5189 + 29.3498i 0.613961 + 1.56435i
\(353\) −22.1412 10.6627i −1.17846 0.567516i −0.260997 0.965340i \(-0.584051\pi\)
−0.917462 + 0.397824i \(0.869765\pi\)
\(354\) −9.10406 + 6.60964i −0.483875 + 0.351298i
\(355\) 0.918613 + 4.02471i 0.0487549 + 0.213609i
\(356\) −7.83827 + 19.9716i −0.415428 + 1.05849i
\(357\) 12.2518 + 7.92446i 0.648433 + 0.419407i
\(358\) 14.1111 + 35.9545i 0.745795 + 1.90026i
\(359\) −1.69743 + 1.15729i −0.0895867 + 0.0610792i −0.607285 0.794484i \(-0.707741\pi\)
0.517698 + 0.855563i \(0.326789\pi\)
\(360\) 0.280396 + 2.08086i 0.0147782 + 0.109671i
\(361\) 9.41804 + 16.3125i 0.495686 + 0.858554i
\(362\) 22.9152 + 39.6902i 1.20439 + 2.08607i
\(363\) −8.35837 + 1.51381i −0.438700 + 0.0794546i
\(364\) 9.03159 2.73358i 0.473384 0.143279i
\(365\) 10.5821 3.26416i 0.553894 0.170854i
\(366\) 9.66367 9.51354i 0.505128 0.497281i
\(367\) −19.5252 + 24.4838i −1.01921 + 1.27805i −0.0591482 + 0.998249i \(0.518838\pi\)
−0.960059 + 0.279797i \(0.909733\pi\)
\(368\) −27.7355 4.18045i −1.44581 0.217921i
\(369\) −13.3743 + 2.83305i −0.696236 + 0.147483i
\(370\) 11.3880 49.8939i 0.592032 2.59386i
\(371\) −10.2801 + 1.49384i −0.533716 + 0.0775565i
\(372\) 13.6206 + 16.0803i 0.706195 + 0.833726i
\(373\) 9.16938 0.474772 0.237386 0.971415i \(-0.423709\pi\)
0.237386 + 0.971415i \(0.423709\pi\)
\(374\) −12.5694 + 21.7708i −0.649946 + 1.12574i
\(375\) −68.7016 + 12.4428i −3.54773 + 0.642543i
\(376\) −0.0866003 1.15560i −0.00446607 0.0595955i
\(377\) 3.27116 4.10190i 0.168473 0.211259i
\(378\) 21.1318 17.1521i 1.08690 0.882211i
\(379\) −18.9019 23.7022i −0.970925 1.21750i −0.976057 0.217515i \(-0.930205\pi\)
0.00513193 0.999987i \(-0.498366\pi\)
\(380\) −2.49598 + 2.31593i −0.128041 + 0.118805i
\(381\) 24.9480 18.1125i 1.27812 0.927931i
\(382\) 14.3447 9.78003i 0.733937 0.500390i
\(383\) 8.58508 10.7654i 0.438677 0.550084i −0.512517 0.858677i \(-0.671287\pi\)
0.951194 + 0.308593i \(0.0998582\pi\)
\(384\) −1.32710 + 1.76901i −0.0677235 + 0.0902744i
\(385\) −38.0610 26.2458i −1.93977 1.33761i
\(386\) 34.3239 + 16.5295i 1.74704 + 0.841330i
\(387\) 4.05889 24.3372i 0.206325 1.23713i
\(388\) 15.8418 4.88655i 0.804246 0.248077i
\(389\) −16.2694 + 7.83493i −0.824891 + 0.397246i −0.798196 0.602397i \(-0.794212\pi\)
−0.0266943 + 0.999644i \(0.508498\pi\)
\(390\) 2.90875 + 27.7680i 0.147290 + 1.40609i
\(391\) −10.7475 18.6153i −0.543527 0.941416i
\(392\) −1.10732 + 0.154926i −0.0559280 + 0.00782495i
\(393\) 0.165632 3.65964i 0.00835501 0.184604i
\(394\) 5.20208 13.2547i 0.262077 0.667762i
\(395\) −20.0549 13.6732i −1.00907 0.687974i
\(396\) 15.3532 + 17.0754i 0.771527 + 0.858069i
\(397\) 1.35610 18.0959i 0.0680605 0.908205i −0.853780 0.520635i \(-0.825695\pi\)
0.921840 0.387570i \(-0.126686\pi\)
\(398\) −34.5058 + 23.5256i −1.72962 + 1.17923i
\(399\) −1.78566 0.503674i −0.0893949 0.0252152i
\(400\) −48.7458 33.2343i −2.43729 1.66172i
\(401\) −17.9539 + 22.5134i −0.896573 + 1.12427i 0.0950974 + 0.995468i \(0.469684\pi\)
−0.991671 + 0.128799i \(0.958888\pi\)
\(402\) −1.51883 + 2.82010i −0.0757522 + 0.140654i
\(403\) −7.34451 9.20973i −0.365856 0.458769i
\(404\) −5.02710 1.55066i −0.250108 0.0771480i
\(405\) 18.6389 + 34.7528i 0.926175 + 1.72688i
\(406\) 10.8939 10.0012i 0.540653 0.496351i
\(407\) 8.59565 + 21.9013i 0.426070 + 1.08561i
\(408\) −0.880514 + 0.0260459i −0.0435919 + 0.00128946i
\(409\) 9.90276 + 3.05460i 0.489660 + 0.151040i 0.529746 0.848156i \(-0.322287\pi\)
−0.0400864 + 0.999196i \(0.512763\pi\)
\(410\) 19.7652 34.2343i 0.976133 1.69071i
\(411\) −1.55710 + 34.4042i −0.0768061 + 1.69703i
\(412\) 27.3609 + 8.43972i 1.34798 + 0.415795i
\(413\) 7.84080 3.72491i 0.385821 0.183291i
\(414\) −39.2241 + 8.30879i −1.92776 + 0.408355i
\(415\) 3.84394 + 3.56665i 0.188692 + 0.175080i
\(416\) −9.15987 + 11.4861i −0.449099 + 0.563153i
\(417\) −4.77483 + 24.1971i −0.233825 + 1.18494i
\(418\) 0.711288 3.11635i 0.0347902 0.152426i
\(419\) 33.4846 10.3286i 1.63583 0.504587i 0.665507 0.746392i \(-0.268215\pi\)
0.970325 + 0.241804i \(0.0777392\pi\)
\(420\) −1.94631 + 38.4900i −0.0949702 + 1.87812i
\(421\) −6.21320 1.91652i −0.302813 0.0934054i 0.139625 0.990204i \(-0.455410\pi\)
−0.442438 + 0.896799i \(0.645886\pi\)
\(422\) −6.69534 + 11.5967i −0.325924 + 0.564517i
\(423\) −9.13537 19.7551i −0.444177 0.960528i
\(424\) 0.459731 0.426568i 0.0223265 0.0207160i
\(425\) −3.37873 45.0860i −0.163892 2.18699i
\(426\) −0.625434 + 3.16947i −0.0303024 + 0.153561i
\(427\) −8.67624 + 5.84830i −0.419873 + 0.283019i
\(428\) 7.02188 17.8914i 0.339415 0.864816i
\(429\) −8.29613 9.79432i −0.400541 0.472874i
\(430\) 44.4824 + 55.7791i 2.14513 + 2.68991i
\(431\) 1.62621 + 21.7002i 0.0783316 + 1.04526i 0.888443 + 0.458987i \(0.151787\pi\)
−0.810112 + 0.586276i \(0.800594\pi\)
\(432\) −6.07587 + 20.7167i −0.292325 + 0.996731i
\(433\) −3.18137 + 1.53207i −0.152887 + 0.0736266i −0.508763 0.860907i \(-0.669897\pi\)
0.355876 + 0.934533i \(0.384183\pi\)
\(434\) −16.4493 28.8427i −0.789593 1.38450i
\(435\) 11.2579 + 18.2321i 0.539774 + 0.874162i
\(436\) 9.23012 4.44499i 0.442043 0.212877i
\(437\) 2.00357 + 1.85905i 0.0958440 + 0.0889302i
\(438\) 8.60387 + 1.03769i 0.411109 + 0.0495829i
\(439\) 6.78196 17.2802i 0.323686 0.824737i −0.672710 0.739906i \(-0.734870\pi\)
0.996395 0.0848308i \(-0.0270350\pi\)
\(440\) 2.79117 0.133064
\(441\) −18.4558 + 10.0191i −0.878849 + 0.477099i
\(442\) −11.7136 −0.557157
\(443\) 7.42001 18.9059i 0.352535 0.898245i −0.639094 0.769128i \(-0.720691\pi\)
0.991629 0.129117i \(-0.0412141\pi\)
\(444\) 11.7694 15.6885i 0.558552 0.744542i
\(445\) 35.9051 + 33.3150i 1.70206 + 1.57928i
\(446\) −34.0746 + 16.4095i −1.61348 + 0.777010i
\(447\) −0.855876 + 1.58916i −0.0404816 + 0.0751646i
\(448\) −14.3095 + 13.1369i −0.676059 + 0.620661i
\(449\) 10.3535 4.98598i 0.488612 0.235303i −0.173322 0.984865i \(-0.555450\pi\)
0.661934 + 0.749562i \(0.269736\pi\)
\(450\) −81.9156 20.0510i −3.86154 0.945212i
\(451\) 1.35810 + 18.1226i 0.0639504 + 0.853359i
\(452\) −7.96616 9.98925i −0.374697 0.469855i
\(453\) 37.6186 6.81323i 1.76747 0.320114i
\(454\) −10.7052 + 27.2764i −0.502421 + 1.28015i
\(455\) 1.72361 21.4735i 0.0808041 1.00669i
\(456\) 0.106011 0.0361659i 0.00496442 0.00169362i
\(457\) −0.328846 4.38814i −0.0153828 0.205269i −0.999599 0.0283011i \(-0.990990\pi\)
0.984217 0.176968i \(-0.0566288\pi\)
\(458\) −5.05797 + 4.69311i −0.236344 + 0.219295i
\(459\) −15.3156 + 6.25824i −0.714870 + 0.292110i
\(460\) 28.3871 49.1679i 1.32355 2.29246i
\(461\) −3.58063 1.10448i −0.166767 0.0514407i 0.210248 0.977648i \(-0.432573\pi\)
−0.377014 + 0.926208i \(0.623049\pi\)
\(462\) −18.8453 30.8846i −0.876765 1.43688i
\(463\) 2.04444 0.630625i 0.0950130 0.0293076i −0.246884 0.969045i \(-0.579407\pi\)
0.341897 + 0.939737i \(0.388931\pi\)
\(464\) −2.61034 + 11.4366i −0.121182 + 0.530933i
\(465\) 45.5335 15.5339i 2.11157 0.720366i
\(466\) 9.36215 11.7398i 0.433693 0.543834i
\(467\) 3.22986 + 2.99688i 0.149460 + 0.138679i 0.751359 0.659893i \(-0.229399\pi\)
−0.601899 + 0.798572i \(0.705589\pi\)
\(468\) −3.31346 + 10.1737i −0.153165 + 0.470278i
\(469\) 1.55114 1.92407i 0.0716248 0.0888454i
\(470\) 60.1388 + 18.5504i 2.77400 + 0.855665i
\(471\) −8.33619 5.32945i −0.384111 0.245568i
\(472\) −0.262033 + 0.453854i −0.0120610 + 0.0208903i
\(473\) −31.3420 9.66774i −1.44111 0.444523i
\(474\) −9.97965 16.1620i −0.458380 0.742345i
\(475\) 2.10033 + 5.35155i 0.0963697 + 0.245546i
\(476\) −15.9752 2.49446i −0.732222 0.114334i
\(477\) 5.27622 10.5312i 0.241581 0.482189i
\(478\) −16.6127 5.12434i −0.759847 0.234382i
\(479\) 4.44221 + 5.57035i 0.202970 + 0.254516i 0.872890 0.487917i \(-0.162243\pi\)
−0.669920 + 0.742433i \(0.733672\pi\)
\(480\) −31.5242 51.0533i −1.43888 2.33026i
\(481\) −6.83526 + 8.57115i −0.311661 + 0.390811i
\(482\) 24.7726 + 16.8897i 1.12836 + 0.769303i
\(483\) 30.9271 0.750941i 1.40723 0.0341690i
\(484\) 7.77717 5.30239i 0.353508 0.241018i
\(485\) 2.82837 37.7419i 0.128430 1.71377i
\(486\) 2.25265 + 30.7786i 0.102182 + 1.39614i
\(487\) −1.94034 1.32290i −0.0879254 0.0599465i 0.518559 0.855042i \(-0.326469\pi\)
−0.606485 + 0.795095i \(0.707421\pi\)
\(488\) 0.230781 0.588021i 0.0104470 0.0266184i
\(489\) −20.9075 13.3664i −0.945468 0.604452i
\(490\) 14.1382 59.0536i 0.638700 2.66777i
\(491\) 13.4710 + 23.3324i 0.607937 + 1.05298i 0.991580 + 0.129496i \(0.0413359\pi\)
−0.383643 + 0.923481i \(0.625331\pi\)
\(492\) 12.2590 8.90016i 0.552678 0.401250i
\(493\) −8.09956 + 3.90054i −0.364786 + 0.175672i
\(494\) 1.42326 0.439017i 0.0640354 0.0197523i
\(495\) 49.0932 18.3860i 2.20658 0.826389i
\(496\) 23.7300 + 11.4278i 1.06551 + 0.513122i
\(497\) 0.922949 2.31551i 0.0413999 0.103865i
\(498\) 1.61149 + 3.77391i 0.0722126 + 0.169113i
\(499\) −12.5539 + 15.7421i −0.561989 + 0.704712i −0.978924 0.204224i \(-0.934533\pi\)
0.416935 + 0.908936i \(0.363104\pi\)
\(500\) 63.9245 43.5830i 2.85879 1.94909i
\(501\) −17.8132 7.93839i −0.795836 0.354661i
\(502\) −9.62890 + 8.93432i −0.429759 + 0.398758i
\(503\) −8.78222 11.0126i −0.391580 0.491026i 0.546493 0.837464i \(-0.315963\pi\)
−0.938073 + 0.346438i \(0.887391\pi\)
\(504\) 0.573892 1.13048i 0.0255632 0.0503557i
\(505\) −7.48829 + 9.39001i −0.333224 + 0.417850i
\(506\) 3.98304 + 53.1500i 0.177068 + 2.36280i
\(507\) −5.58344 + 15.5646i −0.247969 + 0.691249i
\(508\) −17.0814 + 29.5859i −0.757866 + 1.31266i
\(509\) −24.8381 −1.10093 −0.550465 0.834858i \(-0.685550\pi\)
−0.550465 + 0.834858i \(0.685550\pi\)
\(510\) 16.1536 45.0305i 0.715295 1.99399i
\(511\) −6.37911 2.00475i −0.282195 0.0886850i
\(512\) 7.01410 30.7308i 0.309982 1.35812i
\(513\) 1.62637 1.33443i 0.0718060 0.0589165i
\(514\) −14.4256 2.17432i −0.636288 0.0959050i
\(515\) 40.7563 51.1068i 1.79594 2.25204i
\(516\) 6.86942 + 26.4640i 0.302410 + 1.16501i
\(517\) −27.6477 + 8.52820i −1.21595 + 0.375070i
\(518\) −22.7633 + 20.8980i −1.00016 + 0.918207i
\(519\) −20.1551 23.7949i −0.884709 1.04448i
\(520\) 0.650282 + 1.12632i 0.0285168 + 0.0493925i
\(521\) 14.0978 + 24.4182i 0.617637 + 1.06978i 0.989916 + 0.141658i \(0.0452433\pi\)
−0.372279 + 0.928121i \(0.621423\pi\)
\(522\) 2.23933 + 16.6184i 0.0980128 + 0.727368i
\(523\) −1.38866 + 0.946775i −0.0607220 + 0.0413996i −0.593301 0.804981i \(-0.702175\pi\)
0.532579 + 0.846381i \(0.321223\pi\)
\(524\) 1.48309 + 3.77885i 0.0647890 + 0.165080i
\(525\) 59.2947 + 26.8017i 2.58783 + 1.16972i
\(526\) −2.89954 + 7.38790i −0.126426 + 0.322128i
\(527\) 4.49143 + 19.6782i 0.195650 + 0.857197i
\(528\) 26.2141 + 11.6822i 1.14082 + 0.508403i
\(529\) −20.3383 9.79442i −0.884275 0.425844i
\(530\) 12.4433 + 31.7050i 0.540502 + 1.37718i
\(531\) −1.61921 + 9.70880i −0.0702675 + 0.421326i
\(532\) 2.03456 0.295651i 0.0882095 0.0128181i
\(533\) −6.99660 + 4.77020i −0.303057 + 0.206620i
\(534\) 15.0524 + 35.2509i 0.651383 + 1.52546i
\(535\) −32.1654 29.8451i −1.39063 1.29032i
\(536\) −0.0111502 + 0.148789i −0.000481615 + 0.00642671i
\(537\) 30.8660 + 13.7553i 1.33197 + 0.593586i
\(538\) 1.64465 2.84862i 0.0709059 0.122813i
\(539\) 9.92310 + 26.0929i 0.427418 + 1.12390i
\(540\) −34.5413 26.7680i −1.48642 1.15191i
\(541\) 41.9844 6.32813i 1.80505 0.272068i 0.841628 0.540057i \(-0.181597\pi\)
0.963422 + 0.267989i \(0.0863592\pi\)
\(542\) 0.307328 0.148001i 0.0132008 0.00635719i
\(543\) 38.6480 + 10.6807i 1.65854 + 0.458351i
\(544\) 22.6803 10.9223i 0.972411 0.468288i
\(545\) −1.74780 23.3228i −0.0748676 0.999039i
\(546\) 8.07233 14.8001i 0.345464 0.633387i
\(547\) −2.37023 + 31.6285i −0.101344 + 1.35234i 0.682275 + 0.731095i \(0.260991\pi\)
−0.783619 + 0.621242i \(0.786628\pi\)
\(548\) −13.9425 35.5249i −0.595594 1.51755i
\(549\) 0.185744 11.8628i 0.00792738 0.506291i
\(550\) −40.9577 + 104.359i −1.74644 + 4.44986i
\(551\) 0.837950 0.777504i 0.0356979 0.0331228i
\(552\) −1.51137 + 1.09727i −0.0643280 + 0.0467028i
\(553\) 5.28216 + 13.6711i 0.224620 + 0.581356i
\(554\) −60.5575 9.12757i −2.57284 0.387793i
\(555\) −23.5240 38.0970i −0.998536 1.61713i
\(556\) −6.08157 26.6451i −0.257916 1.13000i
\(557\) −2.13423 3.69659i −0.0904300 0.156629i 0.817262 0.576266i \(-0.195491\pi\)
−0.907692 + 0.419637i \(0.862157\pi\)
\(558\) 37.4955 + 3.40099i 1.58731 + 0.143975i
\(559\) −3.40079 14.8998i −0.143838 0.630196i
\(560\) 17.3598 + 44.9301i 0.733584 + 1.89864i
\(561\) 5.52591 + 21.2882i 0.233304 + 0.898788i
\(562\) −7.88563 + 34.5492i −0.332635 + 1.45737i
\(563\) −9.09754 23.1802i −0.383416 0.976927i −0.984128 0.177462i \(-0.943211\pi\)
0.600712 0.799465i \(-0.294884\pi\)
\(564\) 18.1573 + 15.8747i 0.764560 + 0.668446i
\(565\) −27.8729 + 8.59766i −1.17262 + 0.361706i
\(566\) 4.05490 17.7657i 0.170440 0.746747i
\(567\) 2.64734 23.6641i 0.111178 0.993801i
\(568\) 0.0334866 + 0.146714i 0.00140506 + 0.00615599i
\(569\) 17.0830 + 29.5886i 0.716156 + 1.24042i 0.962512 + 0.271240i \(0.0874336\pi\)
−0.246356 + 0.969180i \(0.579233\pi\)
\(570\) −0.275034 + 6.07688i −0.0115199 + 0.254532i
\(571\) −23.1678 7.14631i −0.969540 0.299064i −0.230761 0.973011i \(-0.574121\pi\)
−0.738780 + 0.673947i \(0.764598\pi\)
\(572\) 12.8149 + 6.17132i 0.535817 + 0.258036i
\(573\) 2.94063 14.9020i 0.122847 0.622541i
\(574\) −21.5598 + 10.2423i −0.899887 + 0.427507i
\(575\) −59.7672 74.9457i −2.49247 3.12545i
\(576\) −2.94144 21.8289i −0.122560 0.909536i
\(577\) 6.64600 16.9337i 0.276676 0.704960i −0.723221 0.690617i \(-0.757339\pi\)
0.999897 0.0143431i \(-0.00456571\pi\)
\(578\) −12.2391 5.89404i −0.509080 0.245160i
\(579\) 31.5453 10.7618i 1.31098 0.447244i
\(580\) −19.6186 13.3758i −0.814619 0.555398i
\(581\) −0.688200 3.09055i −0.0285514 0.128218i
\(582\) 14.0443 26.0769i 0.582154 1.08092i
\(583\) −12.9374 8.82057i −0.535813 0.365311i
\(584\) 0.385755 0.118990i 0.0159626 0.00492382i
\(585\) 18.8570 + 15.5271i 0.779640 + 0.641966i
\(586\) 31.1056 4.68842i 1.28496 0.193677i
\(587\) 14.0726 24.3744i 0.580838 1.00604i −0.414542 0.910030i \(-0.636058\pi\)
0.995380 0.0960110i \(-0.0306084\pi\)
\(588\) 14.1610 18.4657i 0.583989 0.761513i
\(589\) −1.28326 2.22267i −0.0528758 0.0915836i
\(590\) −17.7453 22.2518i −0.730561 0.916094i
\(591\) −4.89216 11.4568i −0.201236 0.471270i
\(592\) 5.45445 23.8975i 0.224176 0.982181i
\(593\) −3.35968 + 44.8318i −0.137966 + 1.84102i 0.314520 + 0.949251i \(0.398156\pi\)
−0.452486 + 0.891772i \(0.649463\pi\)
\(594\) 40.9485 + 2.49622i 1.68014 + 0.102421i
\(595\) −18.6254 + 31.8692i −0.763567 + 1.30651i
\(596\) 0.149470 1.99454i 0.00612253 0.0816994i
\(597\) −7.07362 + 35.8465i −0.289504 + 1.46710i
\(598\) −20.5197 + 13.9901i −0.839112 + 0.572097i
\(599\) 41.8873 6.31349i 1.71147 0.257962i 0.781052 0.624466i \(-0.214683\pi\)
0.930417 + 0.366504i \(0.119445\pi\)
\(600\) −3.86555 + 0.700104i −0.157811 + 0.0285816i
\(601\) 18.0078 2.71424i 0.734553 0.110716i 0.228896 0.973451i \(-0.426488\pi\)
0.505657 + 0.862735i \(0.331250\pi\)
\(602\) −2.99174 42.9746i −0.121934 1.75151i
\(603\) 0.783986 + 2.69047i 0.0319264 + 0.109564i
\(604\) −35.0028 + 23.8645i −1.42424 + 0.971033i
\(605\) −4.78174 20.9502i −0.194405 0.851746i
\(606\) −8.34376 + 4.32659i −0.338942 + 0.175756i
\(607\) 10.4606 0.424582 0.212291 0.977206i \(-0.431907\pi\)
0.212291 + 0.977206i \(0.431907\pi\)
\(608\) −2.34642 + 2.17716i −0.0951599 + 0.0882955i
\(609\) 0.653415 12.9219i 0.0264777 0.523621i
\(610\) 25.1480 + 23.3340i 1.01821 + 0.944764i
\(611\) −9.88272 9.16982i −0.399812 0.370971i
\(612\) 12.6789 13.2427i 0.512516 0.535303i
\(613\) −1.38938 0.209416i −0.0561167 0.00845823i 0.120924 0.992662i \(-0.461414\pi\)
−0.177041 + 0.984204i \(0.556652\pi\)
\(614\) −35.4332 + 10.9297i −1.42997 + 0.441086i
\(615\) −8.68945 33.4755i −0.350392 1.34986i
\(616\) −1.38745 0.956750i −0.0559020 0.0385485i
\(617\) −21.1178 + 19.5944i −0.850169 + 0.788842i −0.979221 0.202796i \(-0.934997\pi\)
0.129052 + 0.991638i \(0.458807\pi\)
\(618\) 45.4124 23.5482i 1.82676 0.947248i
\(619\) −1.11345 −0.0447535 −0.0223767 0.999750i \(-0.507123\pi\)
−0.0223767 + 0.999750i \(0.507123\pi\)
\(620\) −39.0804 + 36.2613i −1.56951 + 1.45629i
\(621\) −19.3552 + 29.2553i −0.776696 + 1.17397i
\(622\) 3.57965 4.48874i 0.143531 0.179982i
\(623\) −6.42827 28.8679i −0.257543 1.15657i
\(624\) 1.39319 + 13.2999i 0.0557724 + 0.532422i
\(625\) −23.5050 102.982i −0.940200 4.11928i
\(626\) −21.4093 + 3.22693i −0.855688 + 0.128974i
\(627\) −1.46930 2.37952i −0.0586781 0.0950289i
\(628\) 10.8415 + 1.63409i 0.432622 + 0.0652073i
\(629\) 16.9245 8.15040i 0.674823 0.324978i
\(630\) 45.7641 + 51.4427i 1.82328 + 2.04953i
\(631\) −9.54472 4.59649i −0.379969 0.182984i 0.234143 0.972202i \(-0.424772\pi\)
−0.614112 + 0.789219i \(0.710486\pi\)
\(632\) −0.731070 0.498435i −0.0290804 0.0198267i
\(633\) 2.94350 + 11.3396i 0.116994 + 0.450710i
\(634\) −2.51371 + 33.5431i −0.0998321 + 1.33217i
\(635\) 48.6276 + 60.9771i 1.92973 + 2.41980i
\(636\) −0.590138 + 13.0391i −0.0234005 + 0.517035i
\(637\) −8.21741 + 10.0834i −0.325586 + 0.399517i
\(638\) 22.2911 0.882513
\(639\) 1.55542 + 2.35994i 0.0615316 + 0.0933578i
\(640\) −4.62245 3.15153i −0.182718 0.124575i
\(641\) 5.20818 22.8185i 0.205711 0.901278i −0.761673 0.647962i \(-0.775622\pi\)
0.967384 0.253316i \(-0.0815213\pi\)
\(642\) −13.4847 31.5793i −0.532197 1.24634i
\(643\) 0.673783 + 8.99101i 0.0265714 + 0.354571i 0.994604 + 0.103746i \(0.0330828\pi\)
−0.968032 + 0.250825i \(0.919298\pi\)
\(644\) −30.9645 + 14.7102i −1.22017 + 0.579663i
\(645\) 61.9695 + 7.47400i 2.44005 + 0.294289i
\(646\) −2.52361 0.380373i −0.0992900 0.0149656i
\(647\) −1.05817 14.1203i −0.0416009 0.555126i −0.978597 0.205786i \(-0.934025\pi\)
0.936996 0.349340i \(-0.113594\pi\)
\(648\) 0.679451 + 1.26686i 0.0266914 + 0.0497669i
\(649\) 12.5032 + 3.85673i 0.490794 + 0.151390i
\(650\) −51.6541 + 7.78561i −2.02604 + 0.305377i
\(651\) −27.9588 7.88620i −1.09579 0.309085i
\(652\) 27.1908 + 4.09836i 1.06487 + 0.160504i
\(653\) 11.7213 + 5.64466i 0.458688 + 0.220893i 0.648935 0.760844i \(-0.275215\pi\)
−0.190247 + 0.981736i \(0.560929\pi\)
\(654\) 6.18007 17.2278i 0.241660 0.673661i
\(655\) 9.26761 0.362116
\(656\) 9.46686 16.3971i 0.369619 0.640198i
\(657\) 6.00115 4.63393i 0.234127 0.180787i
\(658\) −23.5355 29.8354i −0.917510 1.16310i
\(659\) −18.2031 16.8900i −0.709093 0.657942i 0.240780 0.970580i \(-0.422597\pi\)
−0.949872 + 0.312638i \(0.898787\pi\)
\(660\) −41.3969 + 40.7538i −1.61137 + 1.58634i
\(661\) −13.6970 34.8995i −0.532753 1.35743i −0.903456 0.428681i \(-0.858979\pi\)
0.370703 0.928751i \(-0.379117\pi\)
\(662\) −2.15386 5.48795i −0.0837123 0.213295i
\(663\) −7.30302 + 7.18956i −0.283626 + 0.279219i
\(664\) 0.140125 + 0.130017i 0.00543789 + 0.00504562i
\(665\) 1.06865 4.57035i 0.0414403 0.177230i
\(666\) −4.67920 34.7251i −0.181315 1.34557i
\(667\) −9.53011 + 16.5066i −0.369007 + 0.639139i
\(668\) 21.6105 0.836137
\(669\) −11.1726 + 31.1451i −0.431956 + 1.20414i
\(670\) −7.30070 3.51583i −0.282051 0.135828i
\(671\) −15.5954 2.35063i −0.602053 0.0907449i
\(672\) −1.82969 + 36.1837i −0.0705817 + 1.39582i
\(673\) −44.0800 + 6.64399i −1.69916 + 0.256107i −0.925842 0.377912i \(-0.876642\pi\)
−0.773318 + 0.634019i \(0.781404\pi\)
\(674\) 61.7435 + 19.0454i 2.37827 + 0.733600i
\(675\) −63.3786 + 37.7772i −2.43945 + 1.45404i
\(676\) −1.36933 18.2724i −0.0526664 0.702784i
\(677\) 11.5487 + 1.74069i 0.443852 + 0.0669000i 0.367166 0.930155i \(-0.380328\pi\)
0.0766860 + 0.997055i \(0.475566\pi\)
\(678\) −22.6622 2.73324i −0.870338 0.104970i
\(679\) −14.3430 + 17.7915i −0.550435 + 0.682775i
\(680\) −0.166536 2.22226i −0.00638635 0.0852199i
\(681\) 10.0674 + 23.5766i 0.385785 + 0.903459i
\(682\) 11.1369 48.7939i 0.426454 1.86842i
\(683\) −1.18760 0.809691i −0.0454422 0.0309820i 0.540386 0.841417i \(-0.318278\pi\)
−0.585828 + 0.810435i \(0.699231\pi\)
\(684\) −1.04423 + 2.08425i −0.0399272 + 0.0796934i
\(685\) −87.1246 −3.32886
\(686\) −27.2702 + 24.5085i −1.04118 + 0.935737i
\(687\) −0.272934 + 6.03049i −0.0104131 + 0.230078i
\(688\) 21.3055 + 26.7163i 0.812266 + 1.01855i
\(689\) 0.545234 7.27564i 0.0207718 0.277180i
\(690\) −25.4844 98.1771i −0.970176 3.73754i
\(691\) 28.5488 + 19.4642i 1.08605 + 0.740454i 0.967595 0.252506i \(-0.0812547\pi\)
0.118451 + 0.992960i \(0.462207\pi\)
\(692\) 31.1332 + 14.9929i 1.18351 + 0.569946i
\(693\) −30.7059 7.68863i −1.16642 0.292067i
\(694\) −16.4542 + 7.92394i −0.624594 + 0.300789i
\(695\) −61.6972 9.29936i −2.34031 0.352745i
\(696\) 0.410388 + 0.664621i 0.0155557 + 0.0251924i
\(697\) 14.3477 2.16257i 0.543459 0.0819133i
\(698\) 0.915069 + 4.00918i 0.0346359 + 0.151750i
\(699\) −1.36866 13.0657i −0.0517674 0.494189i
\(700\) −72.1051 0.381832i −2.72531 0.0144319i
\(701\) −4.37244 + 5.48286i −0.165145 + 0.207085i −0.857517 0.514455i \(-0.827994\pi\)
0.692372 + 0.721540i \(0.256566\pi\)
\(702\) 8.53281 + 17.1055i 0.322050 + 0.645606i
\(703\) −1.75094 + 1.62464i −0.0660380 + 0.0612743i
\(704\) −29.2801 −1.10354
\(705\) 48.8805 25.3466i 1.84094 0.954606i
\(706\) 35.6641 33.0915i 1.34224 1.24541i
\(707\) 6.94101 2.10083i 0.261043 0.0790098i
\(708\) −2.74040 10.5572i −0.102991 0.396765i
\(709\) −12.3191 + 3.79995i −0.462655 + 0.142710i −0.517316 0.855795i \(-0.673069\pi\)
0.0546602 + 0.998505i \(0.482592\pi\)
\(710\) −8.08144 1.21808i −0.303291 0.0457138i
\(711\) −16.1419 3.95116i −0.605369 0.148180i
\(712\) 1.30886 + 1.21445i 0.0490517 + 0.0455133i
\(713\) 31.3707 + 29.1078i 1.17484 + 1.09009i
\(714\) −23.4652 + 16.8470i −0.878163 + 0.630481i
\(715\) 23.8034 22.0863i 0.890196 0.825981i
\(716\) −37.4459 −1.39942
\(717\) −13.5027 + 7.00171i −0.504267 + 0.261484i
\(718\) −0.905027 3.96518i −0.0337753 0.147979i
\(719\) −17.1123 + 11.6669i −0.638180 + 0.435104i −0.838706 0.544585i \(-0.816687\pi\)
0.200526 + 0.979688i \(0.435735\pi\)
\(720\) −53.0503 12.9854i −1.97707 0.483939i
\(721\) −37.7777 + 11.4341i −1.40691 + 0.425830i
\(722\) −36.8738 + 5.55783i −1.37230 + 0.206841i
\(723\) 25.8115 4.67480i 0.959938 0.173858i
\(724\) −43.9356 + 6.62223i −1.63285 + 0.246113i
\(725\) −33.1247 + 22.5840i −1.23022 + 0.838750i
\(726\) 3.25563 16.4983i 0.120828 0.612311i
\(727\) 1.84663 24.6416i 0.0684878 0.913906i −0.852102 0.523375i \(-0.824673\pi\)
0.920590 0.390530i \(-0.127708\pi\)
\(728\) 0.0628315 0.782781i 0.00232869 0.0290118i
\(729\) 20.2958 + 17.8068i 0.751695 + 0.659511i
\(730\) −1.63836 + 21.8625i −0.0606386 + 0.809166i
\(731\) −5.82720 + 25.5306i −0.215527 + 0.944284i
\(732\) 5.16288 + 12.0908i 0.190825 + 0.446889i
\(733\) −8.48560 10.6406i −0.313423 0.393020i 0.600021 0.799984i \(-0.295159\pi\)
−0.913444 + 0.406964i \(0.866587\pi\)
\(734\) −30.9986 53.6911i −1.14418 1.98177i
\(735\) −27.4313 45.4958i −1.01182 1.67814i
\(736\) 26.6861 46.2217i 0.983664 1.70376i
\(737\) 3.68368 0.555225i 0.135690 0.0204520i
\(738\) 4.45231 26.6962i 0.163892 0.982700i
\(739\) −14.4821 + 4.46713i −0.532732 + 0.164326i −0.549438 0.835534i \(-0.685158\pi\)
0.0167064 + 0.999860i \(0.494682\pi\)
\(740\) 40.9942 + 27.9494i 1.50698 + 1.02744i
\(741\) 0.617895 1.14728i 0.0226989 0.0421465i
\(742\) 4.68237 20.0254i 0.171895 0.735155i
\(743\) −3.42691 2.33643i −0.125721 0.0857153i 0.498827 0.866702i \(-0.333764\pi\)
−0.624548 + 0.780986i \(0.714717\pi\)
\(744\) 1.65985 0.566262i 0.0608531 0.0207602i
\(745\) −4.11403 1.98121i −0.150726 0.0725860i
\(746\) −6.63199 + 16.8980i −0.242814 + 0.618681i
\(747\) 3.32107 + 1.36380i 0.121511 + 0.0498990i
\(748\) −15.1955 19.0545i −0.555601 0.696702i
\(749\) 5.75873 + 25.8612i 0.210419 + 0.944946i
\(750\) 26.7597 135.608i 0.977124 4.95170i
\(751\) 18.6863 + 8.99885i 0.681873 + 0.328373i 0.742556 0.669784i \(-0.233613\pi\)
−0.0606827 + 0.998157i \(0.519328\pi\)
\(752\) 28.8044 + 8.88500i 1.05039 + 0.324002i
\(753\) −0.519587 + 11.4803i −0.0189348 + 0.418365i
\(754\) 5.19335 + 8.99514i 0.189131 + 0.327584i
\(755\) 21.5212 + 94.2907i 0.783238 + 3.43159i
\(756\) 7.99453 + 25.1460i 0.290758 + 0.914552i
\(757\) −1.63134 + 7.14735i −0.0592919 + 0.259775i −0.995883 0.0906498i \(-0.971106\pi\)
0.936591 + 0.350425i \(0.113963\pi\)
\(758\) 57.3515 17.6906i 2.08310 0.642552i
\(759\) 35.1058 + 30.6926i 1.27426 + 1.11407i
\(760\) 0.103524 + 0.263775i 0.00375521 + 0.00956813i
\(761\) 6.22039 27.2533i 0.225489 0.987932i −0.727780 0.685810i \(-0.759448\pi\)
0.953269 0.302122i \(-0.0976949\pi\)
\(762\) 15.3348 + 59.0763i 0.555522 + 2.14011i
\(763\) −7.12573 + 12.1926i −0.257969 + 0.441400i
\(764\) 3.74539 + 16.4096i 0.135504 + 0.593680i
\(765\) −17.5677 37.9899i −0.635160 1.37353i
\(766\) 13.6298 + 23.6076i 0.492466 + 0.852976i
\(767\) 1.35667 + 5.94396i 0.0489865 + 0.214624i
\(768\) −15.6627 25.3657i −0.565179 0.915305i
\(769\) 5.33230 + 0.803715i 0.192288 + 0.0289827i 0.244480 0.969654i \(-0.421383\pi\)
−0.0521923 + 0.998637i \(0.516621\pi\)
\(770\) 75.8964 51.1587i 2.73512 1.84363i
\(771\) −10.3285 + 7.49858i −0.371971 + 0.270055i
\(772\) −27.0747 + 25.1216i −0.974439 + 0.904147i
\(773\) 7.08960 18.0640i 0.254995 0.649717i −0.744852 0.667230i \(-0.767480\pi\)
0.999847 + 0.0175134i \(0.00557498\pi\)
\(774\) 41.9148 + 25.0826i 1.50660 + 0.901574i
\(775\) 32.8856 + 83.7912i 1.18129 + 3.00987i
\(776\) 0.103104 1.37582i 0.00370120 0.0493891i
\(777\) −1.36535 + 27.0010i −0.0489816 + 0.968654i
\(778\) −2.67154 35.6493i −0.0957795 1.27809i
\(779\) −1.66227 + 0.800509i −0.0595572 + 0.0286812i
\(780\) −26.0900 7.21016i −0.934171 0.258165i
\(781\) 3.38518 1.63022i 0.121131 0.0583337i
\(782\) 42.0791 6.34240i 1.50475 0.226804i
\(783\) 11.5962 + 8.98657i 0.414415 + 0.321154i
\(784\) 6.77173 28.2847i 0.241847 1.01017i
\(785\) 12.5151 21.6769i 0.446685 0.773681i
\(786\) 6.62446 + 2.95216i 0.236287 + 0.105300i
\(787\) 0.570969 7.61906i 0.0203529 0.271590i −0.977738 0.209829i \(-0.932709\pi\)
0.998091 0.0617611i \(-0.0196717\pi\)
\(788\) 10.1194 + 9.38944i 0.360489 + 0.334485i
\(789\) 2.72679 + 6.38580i 0.0970764 + 0.227340i
\(790\) 39.7033 27.0692i 1.41258 0.963080i
\(791\) 16.8023 + 5.28044i 0.597422 + 0.187751i
\(792\) 1.78961 0.670232i 0.0635912 0.0238156i
\(793\) −2.68484 6.84086i −0.0953414 0.242926i
\(794\) 32.3676 + 15.5874i 1.14868 + 0.553176i
\(795\) 27.2179 + 12.1296i 0.965320 + 0.430191i
\(796\) −9.00946 39.4730i −0.319332 1.39908i
\(797\) 8.81057 22.4490i 0.312086 0.795183i −0.685650 0.727932i \(-0.740482\pi\)
0.997736 0.0672513i \(-0.0214229\pi\)
\(798\) 2.21973 2.92646i 0.0785777 0.103595i
\(799\) 8.43956 + 21.5037i 0.298570 + 0.760744i
\(800\) 92.7554 63.2396i 3.27940 2.23586i
\(801\) 31.0211 + 12.7389i 1.09608 + 0.450106i
\(802\) −28.5039 49.3702i −1.00651 1.74332i
\(803\) −5.03953 8.72872i −0.177841 0.308030i
\(804\) −2.00709 2.36955i −0.0707847 0.0835677i
\(805\) 5.43520 + 78.0734i 0.191566 + 2.75172i
\(806\) 22.2845 6.87385i 0.784938 0.242121i
\(807\) −0.723044 2.78548i −0.0254524 0.0980535i
\(808\) −0.272973 + 0.342298i −0.00960317 + 0.0120420i
\(809\) 31.8853 + 4.80593i 1.12103 + 0.168967i 0.683298 0.730140i \(-0.260545\pi\)
0.437728 + 0.899107i \(0.355783\pi\)
\(810\) −77.5262 + 9.21332i −2.72399 + 0.323723i
\(811\) 6.62806 29.0394i 0.232743 1.01971i −0.714611 0.699522i \(-0.753396\pi\)
0.947353 0.320190i \(-0.103747\pi\)
\(812\) 5.16724 + 13.3737i 0.181335 + 0.469326i
\(813\) 0.100768 0.280906i 0.00353410 0.00985180i
\(814\) −46.5785 −1.63257
\(815\) 31.3884 54.3663i 1.09949 1.90437i
\(816\) 7.73704 21.5681i 0.270851 0.755034i
\(817\) −0.248838 3.32051i −0.00870572 0.116170i
\(818\) −12.7917 + 16.0402i −0.447250 + 0.560834i
\(819\) −4.05121 14.1820i −0.141561 0.495561i
\(820\) 23.8947 + 29.9630i 0.834440 + 1.04635i
\(821\) −16.8800 + 15.6624i −0.589117 + 0.546621i −0.917404 0.397957i \(-0.869719\pi\)
0.328287 + 0.944578i \(0.393529\pi\)
\(822\) −62.2764 27.7532i −2.17214 0.968005i
\(823\) 28.1997 19.2263i 0.982981 0.670185i 0.0386743 0.999252i \(-0.487687\pi\)
0.944307 + 0.329067i \(0.106734\pi\)
\(824\) 1.48571 1.86302i 0.0517571 0.0649013i
\(825\) 38.5176 + 90.2032i 1.34101 + 3.14047i
\(826\) 1.19349 + 17.1438i 0.0415268 + 0.596508i
\(827\) 18.0482 + 8.69156i 0.627598 + 0.302235i 0.720516 0.693438i \(-0.243905\pi\)
−0.0929178 + 0.995674i \(0.529619\pi\)
\(828\) 6.39448 38.3414i 0.222223 1.33246i
\(829\) 13.4506 4.14896i 0.467158 0.144099i −0.0522347 0.998635i \(-0.516634\pi\)
0.519393 + 0.854536i \(0.326158\pi\)
\(830\) −9.35313 + 4.50423i −0.324652 + 0.156344i
\(831\) −43.3580 + 31.4783i −1.50407 + 1.09197i
\(832\) −6.82164 11.8154i −0.236498 0.409626i
\(833\) 20.1825 9.45737i 0.699281 0.327679i
\(834\) −41.1387 26.3006i −1.42452 0.910715i
\(835\) 18.0245 45.9257i 0.623764 1.58932i
\(836\) 2.56048 + 1.74571i 0.0885561 + 0.0603765i
\(837\) 25.4647 20.8936i 0.880188 0.722190i
\(838\) −5.18421 + 69.1785i −0.179086 + 2.38973i
\(839\) −30.7774 + 20.9837i −1.06255 + 0.724437i −0.962702 0.270565i \(-0.912789\pi\)
−0.0998522 + 0.995002i \(0.531837\pi\)
\(840\) 2.92261 + 1.32104i 0.100839 + 0.0455803i
\(841\) −17.3746 11.8458i −0.599123 0.408475i
\(842\) 8.02576 10.0640i 0.276586 0.346828i
\(843\) 16.2892 + 26.3804i 0.561031 + 0.908588i
\(844\) −8.09420 10.1498i −0.278614 0.349371i
\(845\) −39.9737 12.3302i −1.37514 0.424173i
\(846\) 43.0137 2.54694i 1.47884 0.0875657i
\(847\) −4.80431 + 12.0531i −0.165078 + 0.414150i
\(848\) 5.95991 + 15.1856i 0.204664 + 0.521476i
\(849\) −8.37615 13.5651i −0.287469 0.465555i
\(850\) 85.5316 + 26.3830i 2.93371 + 0.904929i
\(851\) 19.9137 34.4915i 0.682632 1.18235i
\(852\) −2.63882 1.68704i −0.0904046 0.0577970i
\(853\) −18.9235 5.83713i −0.647929 0.199860i −0.0466656 0.998911i \(-0.514860\pi\)
−0.601263 + 0.799051i \(0.705336\pi\)
\(854\) −4.50238 20.2192i −0.154068 0.691886i
\(855\) 3.55840 + 3.95755i 0.121695 + 0.135345i
\(856\) −1.17254 1.08795i −0.0400765 0.0371855i
\(857\) 0.976797 1.22486i 0.0333668 0.0418406i −0.764868 0.644187i \(-0.777196\pi\)
0.798235 + 0.602346i \(0.205767\pi\)
\(858\) 24.0501 8.20474i 0.821057 0.280105i
\(859\) 8.77293 38.4367i 0.299328 1.31144i −0.571802 0.820392i \(-0.693755\pi\)
0.871130 0.491052i \(-0.163387\pi\)
\(860\) −66.0943 + 20.3874i −2.25380 + 0.695204i
\(861\) −7.15524 + 19.6188i −0.243850 + 0.668605i
\(862\) −41.1670 12.6983i −1.40215 0.432507i
\(863\) −7.96167 + 13.7900i −0.271018 + 0.469418i −0.969123 0.246578i \(-0.920694\pi\)
0.698105 + 0.715996i \(0.254027\pi\)
\(864\) −32.4716 25.1641i −1.10471 0.856101i
\(865\) 57.8292 53.6577i 1.96625 1.82442i
\(866\) −0.522403 6.97099i −0.0177520 0.236884i
\(867\) −11.2483 + 3.83740i −0.382014 + 0.130325i
\(868\) 31.8559 4.62912i 1.08126 0.157123i
\(869\) −8.07094 + 20.5644i −0.273788 + 0.697600i
\(870\) −41.7420 + 7.56005i −1.41519 + 0.256310i
\(871\) 1.08227 + 1.35712i 0.0366712 + 0.0459843i
\(872\) −0.0637133 0.850195i −0.00215761 0.0287912i
\(873\) −7.24935 24.8782i −0.245353 0.841999i
\(874\) −4.87513 + 2.34774i −0.164904 + 0.0794134i
\(875\) −39.4890 + 99.0706i −1.33497 + 3.34920i
\(876\) −3.98392 + 7.39718i −0.134604 + 0.249928i
\(877\) 14.0152 6.74935i 0.473259 0.227909i −0.182023 0.983294i \(-0.558264\pi\)
0.655281 + 0.755385i \(0.272550\pi\)
\(878\) 26.9400 + 24.9966i 0.909180 + 0.843596i
\(879\) 16.5157 22.0151i 0.557060 0.742552i
\(880\) −26.5251 + 67.5848i −0.894160 + 2.27828i
\(881\) 26.8609 0.904966 0.452483 0.891773i \(-0.350538\pi\)
0.452483 + 0.891773i \(0.350538\pi\)
\(882\) −5.11528 41.2584i −0.172241 1.38924i
\(883\) 3.07378 0.103441 0.0517205 0.998662i \(-0.483530\pi\)
0.0517205 + 0.998662i \(0.483530\pi\)
\(884\) 4.14886 10.5711i 0.139541 0.355545i
\(885\) −24.7214 2.98159i −0.830999 0.100225i
\(886\) 29.4745 + 27.3483i 0.990214 + 0.918784i
\(887\) −27.6443 + 13.3128i −0.928205 + 0.447000i −0.835994 0.548739i \(-0.815108\pi\)
−0.0922118 + 0.995739i \(0.529394\pi\)
\(888\) −0.857528 1.38876i −0.0287767 0.0466038i
\(889\) −3.27053 46.9793i −0.109690 1.57563i
\(890\) −87.3647 + 42.0726i −2.92847 + 1.41028i
\(891\) 27.0622 23.5771i 0.906617 0.789863i
\(892\) −2.74005 36.5634i −0.0917435 1.22423i
\(893\) −1.83140 2.29650i −0.0612853 0.0768494i
\(894\) −2.30959 2.72667i −0.0772441 0.0911936i
\(895\) −31.2322 + 79.5782i −1.04398 + 2.66001i
\(896\) 1.21748 + 3.15105i 0.0406732 + 0.105269i
\(897\) −4.20649 + 21.3170i −0.140451 + 0.711752i
\(898\) 1.70011 + 22.6864i 0.0567335 + 0.757056i
\(899\) 13.1201 12.1737i 0.437579 0.406014i
\(900\) 47.1093 66.8244i 1.57031 2.22748i
\(901\) −6.25082 + 10.8267i −0.208245 + 0.360691i
\(902\) −34.3799 10.6048i −1.14473 0.353101i
\(903\) −28.2423 24.9570i −0.939844 0.830516i
\(904\) −1.01606 + 0.313414i −0.0337938 + 0.0104240i
\(905\) −22.5717 + 98.8932i −0.750309 + 3.28732i
\(906\) −14.6526 + 74.2542i −0.486801 + 2.46693i
\(907\) 17.4728 21.9102i 0.580176 0.727517i −0.401967 0.915654i \(-0.631673\pi\)
0.982143 + 0.188137i \(0.0602448\pi\)
\(908\) −20.8244 19.3223i −0.691083 0.641232i
\(909\) −2.54648 + 7.81873i −0.0844615 + 0.259331i
\(910\) 38.3263 + 18.7076i 1.27050 + 0.620152i
\(911\) −17.1508 5.29031i −0.568230 0.175276i −0.00268991 0.999996i \(-0.500856\pi\)
−0.565541 + 0.824721i \(0.691332\pi\)
\(912\) −0.131732 + 2.91062i −0.00436207 + 0.0963802i
\(913\) 2.38628 4.13316i 0.0789744 0.136788i
\(914\) 8.32465 + 2.56781i 0.275355 + 0.0849358i
\(915\) 30.0009 0.887436i 0.991800 0.0293377i
\(916\) −2.44389 6.22693i −0.0807485 0.205744i
\(917\) −4.60680 3.17673i −0.152130 0.104905i
\(918\) −0.455768 32.7512i −0.0150426 1.08095i
\(919\) 0.242313 + 0.0747438i 0.00799318 + 0.00246557i 0.298749 0.954332i \(-0.403431\pi\)
−0.290756 + 0.956797i \(0.593907\pi\)
\(920\) −2.94589 3.69403i −0.0971232 0.121789i
\(921\) −15.3830 + 28.5625i −0.506886 + 0.941167i
\(922\) 4.62520 5.79981i 0.152323 0.191007i
\(923\) 1.44652 + 0.986218i 0.0476126 + 0.0324618i
\(924\) 34.5473 6.06822i 1.13652 0.199630i
\(925\) 69.2158 47.1906i 2.27580 1.55162i
\(926\) −0.316527 + 4.22376i −0.0104017 + 0.138801i
\(927\) 13.8597 42.5549i 0.455212 1.39768i
\(928\) −18.4431 12.5743i −0.605424 0.412771i
\(929\) 14.1400 36.0283i 0.463920 1.18205i −0.487217 0.873281i \(-0.661988\pi\)
0.951137 0.308768i \(-0.0999167\pi\)
\(930\) −4.30630 + 95.1479i −0.141209 + 3.12002i
\(931\) −2.09782 + 1.90555i −0.0687533 + 0.0624518i
\(932\) 7.27876 + 12.6072i 0.238424 + 0.412962i
\(933\) −0.523311 4.99570i −0.0171324 0.163552i
\(934\) −7.85895 + 3.78467i −0.257153 + 0.123838i
\(935\) −53.1676 + 16.4000i −1.73877 + 0.536339i
\(936\) 0.687401 + 0.566014i 0.0224684 + 0.0185008i
\(937\) −32.5246 15.6630i −1.06253 0.511688i −0.180839 0.983513i \(-0.557881\pi\)
−0.881693 + 0.471824i \(0.843596\pi\)
\(938\) 2.42393 + 4.25019i 0.0791441 + 0.138773i
\(939\) −11.3674 + 15.1525i −0.370960 + 0.494484i
\(940\) −38.0419 + 47.7030i −1.24079 + 1.55590i
\(941\) 30.8666 21.0445i 1.00622 0.686031i 0.0562671 0.998416i \(-0.482080\pi\)
0.949956 + 0.312385i \(0.101128\pi\)
\(942\) 15.8509 11.5079i 0.516450 0.374948i
\(943\) 22.5513 20.9246i 0.734373 0.681398i
\(944\) −8.49937 10.6579i −0.276631 0.346884i
\(945\) 60.1070 + 3.98371i 1.95528 + 0.129590i
\(946\) 40.4854 50.7670i 1.31629 1.65058i
\(947\) 2.09507 + 27.9568i 0.0680807 + 0.908473i 0.921782 + 0.387710i \(0.126734\pi\)
−0.853701 + 0.520764i \(0.825647\pi\)
\(948\) 18.1204 3.28185i 0.588524 0.106590i
\(949\) 2.34820 4.06721i 0.0762259 0.132027i
\(950\) −11.3814 −0.369260
\(951\) 19.0209 + 22.4559i 0.616796 + 0.728182i
\(952\) −0.678959 + 1.16174i −0.0220052 + 0.0376522i
\(953\) −9.84266 + 43.1235i −0.318835 + 1.39691i 0.520764 + 0.853701i \(0.325647\pi\)
−0.839599 + 0.543207i \(0.817210\pi\)
\(954\) 15.5915 + 17.3403i 0.504792 + 0.561414i
\(955\) 37.9969 + 5.72710i 1.22955 + 0.185325i
\(956\) 10.5087 13.1774i 0.339874 0.426189i
\(957\) 13.8978 13.6819i 0.449251 0.442272i
\(958\) −13.4784 + 4.15754i −0.435467 + 0.134324i
\(959\) 43.3085 + 29.8644i 1.39850 + 0.964371i
\(960\) 54.8296 9.93039i 1.76962 0.320502i
\(961\) −4.59248 7.95442i −0.148145 0.256594i
\(962\) −10.8518 18.7958i −0.349875 0.606002i
\(963\) −27.7901 11.4121i −0.895522 0.367748i
\(964\) −24.0167 + 16.3743i −0.773525 + 0.527380i
\(965\) 30.8053 + 78.4907i 0.991659 + 2.52671i
\(966\) −20.9849 + 57.5380i −0.675179 + 1.85125i
\(967\) −13.4469 + 34.2621i −0.432422 + 1.10179i 0.534148 + 0.845391i \(0.320633\pi\)
−0.966570 + 0.256403i \(0.917463\pi\)
\(968\) −0.174311 0.763705i −0.00560256 0.0245464i
\(969\) −1.80685 + 1.31179i −0.0580445 + 0.0421409i
\(970\) 67.5080 + 32.5101i 2.16755 + 1.04384i
\(971\) −0.193630 0.493361i −0.00621387 0.0158327i 0.927733 0.373244i \(-0.121755\pi\)
−0.933947 + 0.357411i \(0.883659\pi\)
\(972\) −28.5746 8.86861i −0.916530 0.284461i
\(973\) 27.4812 + 25.7710i 0.881008 + 0.826181i
\(974\) 3.84135 2.61899i 0.123085 0.0839178i
\(975\) −27.4260 + 36.5584i −0.878335 + 1.17081i
\(976\) 12.0450 + 11.1762i 0.385553 + 0.357741i
\(977\) 2.46407 32.8808i 0.0788327 1.05195i −0.807794 0.589464i \(-0.799339\pi\)
0.886627 0.462485i \(-0.153042\pi\)
\(978\) 39.7545 28.8622i 1.27121 0.922912i
\(979\) 22.2895 38.6066i 0.712377 1.23387i
\(980\) 48.2864 + 33.6757i 1.54245 + 1.07573i
\(981\) −6.72105 14.5342i −0.214587 0.464041i
\(982\) −52.7420 + 7.94957i −1.68306 + 0.253681i
\(983\) 18.6755 8.99363i 0.595655 0.286852i −0.111665 0.993746i \(-0.535618\pi\)
0.707320 + 0.706894i \(0.249904\pi\)
\(984\) −0.316760 1.22030i −0.0100979 0.0389016i
\(985\) 28.3942 13.6739i 0.904714 0.435687i
\(986\) −1.33000 17.7477i −0.0423559 0.565200i
\(987\) −32.9860 4.15570i −1.04996 0.132277i
\(988\) −0.107909 + 1.43994i −0.00343304 + 0.0458107i
\(989\) 20.2845 + 51.6840i 0.645008 + 1.64345i
\(990\) −1.62482 + 103.771i −0.0516402 + 3.29805i
\(991\) 13.8349 35.2506i 0.439479 1.11977i −0.523936 0.851758i \(-0.675537\pi\)
0.963415 0.268015i \(-0.0863678\pi\)
\(992\) −36.7388 + 34.0886i −1.16646 + 1.08231i
\(993\) −4.71127 2.09956i −0.149508 0.0666275i
\(994\) 3.59964 + 3.37563i 0.114174 + 0.107068i
\(995\) −91.4006 13.7764i −2.89759 0.436742i
\(996\) −3.97661 + 0.117629i −0.126004 + 0.00372723i
\(997\) −7.42973 32.5518i −0.235302 1.03092i −0.945167 0.326587i \(-0.894101\pi\)
0.709865 0.704338i \(-0.248756\pi\)
\(998\) −19.9308 34.5211i −0.630897 1.09275i
\(999\) −24.2309 18.7779i −0.766633 0.594107i
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 441.2.z.a.142.10 yes 648
9.4 even 3 441.2.y.a.436.10 yes 648
49.39 even 21 441.2.y.a.88.10 648
441.382 even 21 inner 441.2.z.a.382.10 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.10 648 49.39 even 21
441.2.y.a.436.10 yes 648 9.4 even 3
441.2.z.a.142.10 yes 648 1.1 even 1 trivial
441.2.z.a.382.10 yes 648 441.382 even 21 inner