Properties

Label 572.2.bn.a.95.20
Level $572$
Weight $2$
Character 572.95
Analytic conductor $4.567$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [572,2,Mod(95,572)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(572, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 21, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("572.95");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 572.bn (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.56744299562\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(80\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 95.20
Character \(\chi\) \(=\) 572.95
Dual form 572.2.bn.a.283.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.04965 + 0.947750i) q^{2} +(1.99167 - 1.79330i) q^{3} +(0.203539 - 1.98962i) q^{4} +(-0.674236 - 0.928006i) q^{5} +(-0.390952 + 3.76995i) q^{6} +(-0.302590 - 0.272453i) q^{7} +(1.67201 + 2.28131i) q^{8} +(0.437208 - 4.15976i) q^{9} +O(q^{10})\) \(q+(-1.04965 + 0.947750i) q^{2} +(1.99167 - 1.79330i) q^{3} +(0.203539 - 1.98962i) q^{4} +(-0.674236 - 0.928006i) q^{5} +(-0.390952 + 3.76995i) q^{6} +(-0.302590 - 0.272453i) q^{7} +(1.67201 + 2.28131i) q^{8} +(0.437208 - 4.15976i) q^{9} +(1.58723 + 0.335076i) q^{10} +(-0.988360 - 3.16594i) q^{11} +(-3.16261 - 4.32766i) q^{12} +(-2.61017 - 2.48737i) q^{13} +(0.575831 - 0.000798670i) q^{14} +(-3.00705 - 0.639168i) q^{15} +(-3.91714 - 0.809927i) q^{16} +(0.998243 - 2.24209i) q^{17} +(3.48350 + 4.78067i) q^{18} +(1.43140 + 6.73423i) q^{19} +(-1.98361 + 1.15259i) q^{20} -1.09125 q^{21} +(4.03795 + 2.38641i) q^{22} +(0.740093 + 0.427293i) q^{23} +(7.42117 + 1.54517i) q^{24} +(1.13848 - 3.50389i) q^{25} +(5.09718 + 0.137092i) q^{26} +(-1.86306 - 2.56428i) q^{27} +(-0.603665 + 0.546582i) q^{28} +(-0.437182 + 2.05678i) q^{29} +(3.76213 - 2.17903i) q^{30} +(-8.82491 - 6.41167i) q^{31} +(4.87925 - 2.86233i) q^{32} +(-7.64597 - 4.53306i) q^{33} +(1.07713 + 3.29950i) q^{34} +(-0.0488212 + 0.464503i) q^{35} +(-8.18734 - 1.71655i) q^{36} +(0.0820718 - 0.386117i) q^{37} +(-7.88484 - 5.71198i) q^{38} +(-9.65920 - 0.273197i) q^{39} +(0.989736 - 3.08978i) q^{40} +(8.18166 + 9.08666i) q^{41} +(1.14543 - 1.03423i) q^{42} +(-4.15096 - 7.18968i) q^{43} +(-6.50016 + 1.32207i) q^{44} +(-4.15507 + 2.39893i) q^{45} +(-1.18181 + 0.252914i) q^{46} +(-1.04286 + 3.20959i) q^{47} +(-9.25409 + 5.41153i) q^{48} +(-0.714369 - 6.79677i) q^{49} +(2.12580 + 4.75687i) q^{50} +(-2.03258 - 6.25565i) q^{51} +(-5.48019 + 4.68695i) q^{52} +(5.59421 + 4.06443i) q^{53} +(4.38586 + 0.925888i) q^{54} +(-2.27162 + 3.05179i) q^{55} +(0.115615 - 1.14585i) q^{56} +(14.9274 + 10.8454i) q^{57} +(-1.49043 - 2.57324i) q^{58} +(0.0523839 - 0.0581782i) q^{59} +(-1.88375 + 5.85278i) q^{60} +(5.74684 - 12.9076i) q^{61} +(15.3398 - 1.63379i) q^{62} +(-1.26563 + 1.13958i) q^{63} +(-2.40873 + 7.62876i) q^{64} +(-0.548431 + 4.09933i) q^{65} +(12.3218 - 2.48834i) q^{66} +(2.10389 - 3.64405i) q^{67} +(-4.25772 - 2.44247i) q^{68} +(2.24028 - 0.476187i) q^{69} +(-0.388987 - 0.533836i) q^{70} +(-1.31944 - 0.587454i) q^{71} +(10.2207 - 5.95777i) q^{72} +(-0.150365 - 0.462777i) q^{73} +(0.279796 + 0.483072i) q^{74} +(-4.01607 - 9.02023i) q^{75} +(13.6899 - 1.47727i) q^{76} +(-0.563501 + 1.22726i) q^{77} +(10.3977 - 8.86775i) q^{78} +(4.64516 + 3.37491i) q^{79} +(1.88946 + 4.18122i) q^{80} +(3.96469 + 0.842720i) q^{81} +(-17.1998 - 1.78365i) q^{82} +(1.62033 + 2.23019i) q^{83} +(-0.222111 + 2.17117i) q^{84} +(-2.75373 + 0.585322i) q^{85} +(11.1711 + 3.61259i) q^{86} +(2.81771 + 4.88042i) q^{87} +(5.56992 - 7.54824i) q^{88} +(8.43119 + 4.86775i) q^{89} +(2.08779 - 6.45600i) q^{90} +(0.112117 + 1.46380i) q^{91} +(1.00079 - 1.38553i) q^{92} +(-29.0744 + 3.05584i) q^{93} +(-1.94725 - 4.35732i) q^{94} +(5.28430 - 5.86881i) q^{95} +(4.58480 - 14.4508i) q^{96} +(10.2635 + 1.07874i) q^{97} +(7.19148 + 6.45720i) q^{98} +(-13.6017 + 2.72717i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(353\) \(365\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04965 + 0.947750i −0.742216 + 0.670161i
\(3\) 1.99167 1.79330i 1.14989 1.03536i 0.150986 0.988536i \(-0.451755\pi\)
0.998903 0.0468288i \(-0.0149115\pi\)
\(4\) 0.203539 1.98962i 0.101769 0.994808i
\(5\) −0.674236 0.928006i −0.301527 0.415017i 0.631188 0.775630i \(-0.282568\pi\)
−0.932716 + 0.360613i \(0.882568\pi\)
\(6\) −0.390952 + 3.76995i −0.159605 + 1.53907i
\(7\) −0.302590 0.272453i −0.114368 0.102978i 0.609963 0.792430i \(-0.291184\pi\)
−0.724331 + 0.689453i \(0.757851\pi\)
\(8\) 1.67201 + 2.28131i 0.591146 + 0.806564i
\(9\) 0.437208 4.15976i 0.145736 1.38659i
\(10\) 1.58723 + 0.335076i 0.501927 + 0.105960i
\(11\) −0.988360 3.16594i −0.298002 0.954565i
\(12\) −3.16261 4.32766i −0.912966 1.24929i
\(13\) −2.61017 2.48737i −0.723930 0.689874i
\(14\) 0.575831 0.000798670i 0.153897 0.000213454i
\(15\) −3.00705 0.639168i −0.776417 0.165033i
\(16\) −3.91714 0.809927i −0.979286 0.202482i
\(17\) 0.998243 2.24209i 0.242110 0.543787i −0.751092 0.660198i \(-0.770472\pi\)
0.993201 + 0.116411i \(0.0371390\pi\)
\(18\) 3.48350 + 4.78067i 0.821068 + 1.12681i
\(19\) 1.43140 + 6.73423i 0.328387 + 1.54494i 0.764247 + 0.644923i \(0.223111\pi\)
−0.435861 + 0.900014i \(0.643556\pi\)
\(20\) −1.98361 + 1.15259i −0.443548 + 0.257726i
\(21\) −1.09125 −0.238130
\(22\) 4.03795 + 2.38641i 0.860894 + 0.508785i
\(23\) 0.740093 + 0.427293i 0.154320 + 0.0890967i 0.575171 0.818033i \(-0.304935\pi\)
−0.420851 + 0.907130i \(0.638269\pi\)
\(24\) 7.42117 + 1.54517i 1.51484 + 0.315407i
\(25\) 1.13848 3.50389i 0.227697 0.700778i
\(26\) 5.09718 + 0.137092i 0.999639 + 0.0268859i
\(27\) −1.86306 2.56428i −0.358546 0.493496i
\(28\) −0.603665 + 0.546582i −0.114082 + 0.103294i
\(29\) −0.437182 + 2.05678i −0.0811827 + 0.381935i −0.999916 0.0129435i \(-0.995880\pi\)
0.918734 + 0.394878i \(0.129213\pi\)
\(30\) 3.76213 2.17903i 0.686868 0.397834i
\(31\) −8.82491 6.41167i −1.58500 1.15157i −0.910665 0.413146i \(-0.864430\pi\)
−0.674336 0.738425i \(-0.735570\pi\)
\(32\) 4.87925 2.86233i 0.862537 0.505994i
\(33\) −7.64597 4.53306i −1.33099 0.789104i
\(34\) 1.07713 + 3.29950i 0.184727 + 0.565860i
\(35\) −0.0488212 + 0.464503i −0.00825229 + 0.0785153i
\(36\) −8.18734 1.71655i −1.36456 0.286091i
\(37\) 0.0820718 0.386117i 0.0134925 0.0634773i −0.970886 0.239541i \(-0.923003\pi\)
0.984379 + 0.176064i \(0.0563364\pi\)
\(38\) −7.88484 5.71198i −1.27909 0.926606i
\(39\) −9.65920 0.273197i −1.54671 0.0437466i
\(40\) 0.989736 3.08978i 0.156491 0.488537i
\(41\) 8.18166 + 9.08666i 1.27776 + 1.41910i 0.859798 + 0.510634i \(0.170589\pi\)
0.417963 + 0.908464i \(0.362744\pi\)
\(42\) 1.14543 1.03423i 0.176744 0.159585i
\(43\) −4.15096 7.18968i −0.633016 1.09642i −0.986932 0.161139i \(-0.948483\pi\)
0.353916 0.935277i \(-0.384850\pi\)
\(44\) −6.50016 + 1.32207i −0.979937 + 0.199309i
\(45\) −4.15507 + 2.39893i −0.619401 + 0.357611i
\(46\) −1.18181 + 0.252914i −0.174248 + 0.0372902i
\(47\) −1.04286 + 3.20959i −0.152116 + 0.468166i −0.997857 0.0654276i \(-0.979159\pi\)
0.845741 + 0.533594i \(0.179159\pi\)
\(48\) −9.25409 + 5.41153i −1.33571 + 0.781087i
\(49\) −0.714369 6.79677i −0.102053 0.970967i
\(50\) 2.12580 + 4.75687i 0.300634 + 0.672722i
\(51\) −2.03258 6.25565i −0.284619 0.875966i
\(52\) −5.48019 + 4.68695i −0.759966 + 0.649963i
\(53\) 5.59421 + 4.06443i 0.768424 + 0.558293i 0.901483 0.432815i \(-0.142480\pi\)
−0.133059 + 0.991108i \(0.542480\pi\)
\(54\) 4.38586 + 0.925888i 0.596840 + 0.125997i
\(55\) −2.27162 + 3.05179i −0.306305 + 0.411503i
\(56\) 0.115615 1.14585i 0.0154497 0.153120i
\(57\) 14.9274 + 10.8454i 1.97718 + 1.43651i
\(58\) −1.49043 2.57324i −0.195702 0.337883i
\(59\) 0.0523839 0.0581782i 0.00681980 0.00757415i −0.739725 0.672909i \(-0.765045\pi\)
0.746545 + 0.665335i \(0.231711\pi\)
\(60\) −1.88375 + 5.85278i −0.243191 + 0.755591i
\(61\) 5.74684 12.9076i 0.735808 1.65265i −0.0216479 0.999766i \(-0.506891\pi\)
0.757456 0.652886i \(-0.226442\pi\)
\(62\) 15.3398 1.63379i 1.94815 0.207491i
\(63\) −1.26563 + 1.13958i −0.159455 + 0.143574i
\(64\) −2.40873 + 7.62876i −0.301092 + 0.953595i
\(65\) −0.548431 + 4.09933i −0.0680245 + 0.508459i
\(66\) 12.3218 2.48834i 1.51671 0.306293i
\(67\) 2.10389 3.64405i 0.257031 0.445191i −0.708414 0.705797i \(-0.750589\pi\)
0.965445 + 0.260606i \(0.0839224\pi\)
\(68\) −4.25772 2.44247i −0.516324 0.296193i
\(69\) 2.24028 0.476187i 0.269698 0.0573262i
\(70\) −0.388987 0.533836i −0.0464929 0.0638056i
\(71\) −1.31944 0.587454i −0.156589 0.0697179i 0.326946 0.945043i \(-0.393981\pi\)
−0.483535 + 0.875325i \(0.660647\pi\)
\(72\) 10.2207 5.95777i 1.20452 0.702130i
\(73\) −0.150365 0.462777i −0.0175989 0.0541639i 0.941871 0.335974i \(-0.109065\pi\)
−0.959470 + 0.281810i \(0.909065\pi\)
\(74\) 0.279796 + 0.483072i 0.0325256 + 0.0561560i
\(75\) −4.01607 9.02023i −0.463735 1.04157i
\(76\) 13.6899 1.47727i 1.57034 0.169454i
\(77\) −0.563501 + 1.22726i −0.0642169 + 0.139859i
\(78\) 10.3977 8.86775i 1.17731 1.00407i
\(79\) 4.64516 + 3.37491i 0.522622 + 0.379707i 0.817591 0.575800i \(-0.195309\pi\)
−0.294969 + 0.955507i \(0.595309\pi\)
\(80\) 1.88946 + 4.18122i 0.211248 + 0.467474i
\(81\) 3.96469 + 0.842720i 0.440521 + 0.0936356i
\(82\) −17.1998 1.78365i −1.89940 0.196972i
\(83\) 1.62033 + 2.23019i 0.177854 + 0.244795i 0.888632 0.458622i \(-0.151657\pi\)
−0.710778 + 0.703417i \(0.751657\pi\)
\(84\) −0.222111 + 2.17117i −0.0242343 + 0.236894i
\(85\) −2.75373 + 0.585322i −0.298683 + 0.0634871i
\(86\) 11.1711 + 3.61259i 1.20461 + 0.389555i
\(87\) 2.81771 + 4.88042i 0.302090 + 0.523236i
\(88\) 5.56992 7.54824i 0.593756 0.804645i
\(89\) 8.43119 + 4.86775i 0.893705 + 0.515981i 0.875152 0.483847i \(-0.160761\pi\)
0.0185522 + 0.999828i \(0.494094\pi\)
\(90\) 2.08779 6.45600i 0.220072 0.680523i
\(91\) 0.112117 + 1.46380i 0.0117530 + 0.153448i
\(92\) 1.00079 1.38553i 0.104339 0.144451i
\(93\) −29.0744 + 3.05584i −3.01487 + 0.316876i
\(94\) −1.94725 4.35732i −0.200843 0.449423i
\(95\) 5.28430 5.86881i 0.542158 0.602127i
\(96\) 4.58480 14.4508i 0.467934 1.47488i
\(97\) 10.2635 + 1.07874i 1.04210 + 0.109529i 0.610085 0.792336i \(-0.291135\pi\)
0.432017 + 0.901865i \(0.357802\pi\)
\(98\) 7.19148 + 6.45720i 0.726449 + 0.652276i
\(99\) −13.6017 + 2.72717i −1.36702 + 0.274091i
\(100\) −6.73968 2.97832i −0.673968 0.297832i
\(101\) −2.64589 5.94277i −0.263276 0.591328i 0.732739 0.680509i \(-0.238241\pi\)
−0.996015 + 0.0891818i \(0.971575\pi\)
\(102\) 8.06230 + 4.63987i 0.798287 + 0.459416i
\(103\) −2.27010 + 0.737601i −0.223680 + 0.0726780i −0.418713 0.908119i \(-0.637519\pi\)
0.195033 + 0.980797i \(0.437519\pi\)
\(104\) 1.31023 10.1135i 0.128479 0.991712i
\(105\) 0.735759 + 1.01269i 0.0718027 + 0.0988280i
\(106\) −9.72404 + 1.03568i −0.944483 + 0.100594i
\(107\) 6.28918 + 6.98484i 0.607998 + 0.675250i 0.966021 0.258463i \(-0.0832159\pi\)
−0.358023 + 0.933713i \(0.616549\pi\)
\(108\) −5.48114 + 3.18484i −0.527423 + 0.306462i
\(109\) 13.1839 1.26279 0.631395 0.775462i \(-0.282483\pi\)
0.631395 + 0.775462i \(0.282483\pi\)
\(110\) −0.507926 5.35625i −0.0484288 0.510698i
\(111\) −0.528966 0.916196i −0.0502073 0.0869615i
\(112\) 0.964620 + 1.31231i 0.0911480 + 0.124002i
\(113\) 11.4373 2.43107i 1.07593 0.228696i 0.364323 0.931273i \(-0.381301\pi\)
0.711608 + 0.702577i \(0.247967\pi\)
\(114\) −25.9473 + 2.76356i −2.43019 + 0.258831i
\(115\) −0.102467 0.974907i −0.00955508 0.0909105i
\(116\) 4.00322 + 1.28846i 0.371690 + 0.119630i
\(117\) −11.4881 + 9.77017i −1.06207 + 0.903252i
\(118\) 0.000153558 0.110714i 1.41362e−5 0.0101920i
\(119\) −0.912922 + 0.406459i −0.0836874 + 0.0372600i
\(120\) −3.56969 7.92871i −0.325867 0.723789i
\(121\) −9.04629 + 6.25817i −0.822390 + 0.568924i
\(122\) 6.20102 + 18.9951i 0.561414 + 1.71973i
\(123\) 32.5903 + 3.42538i 2.93857 + 0.308856i
\(124\) −14.5530 + 16.2532i −1.30690 + 1.45958i
\(125\) −9.47392 + 3.07826i −0.847374 + 0.275328i
\(126\) 0.248436 2.39567i 0.0221324 0.213423i
\(127\) 1.94113 + 18.4686i 0.172248 + 1.63883i 0.649715 + 0.760178i \(0.274888\pi\)
−0.477468 + 0.878649i \(0.658445\pi\)
\(128\) −4.70183 10.2904i −0.415587 0.909553i
\(129\) −21.1606 6.87550i −1.86309 0.605354i
\(130\) −3.30948 4.82264i −0.290260 0.422974i
\(131\) 7.36817 0.643760 0.321880 0.946780i \(-0.395685\pi\)
0.321880 + 0.946780i \(0.395685\pi\)
\(132\) −10.5753 + 14.2899i −0.920461 + 1.24378i
\(133\) 1.40163 2.42770i 0.121537 0.210508i
\(134\) 1.24529 + 5.81894i 0.107577 + 0.502680i
\(135\) −1.12353 + 3.45786i −0.0966979 + 0.297605i
\(136\) 6.78398 1.47151i 0.581721 0.126181i
\(137\) 3.22944 7.25345i 0.275910 0.619704i −0.721439 0.692478i \(-0.756519\pi\)
0.997348 + 0.0727748i \(0.0231854\pi\)
\(138\) −1.90021 + 2.62306i −0.161757 + 0.223290i
\(139\) −9.81485 + 10.9005i −0.832485 + 0.924568i −0.998100 0.0616226i \(-0.980372\pi\)
0.165615 + 0.986191i \(0.447039\pi\)
\(140\) 0.914245 + 0.191680i 0.0772678 + 0.0161999i
\(141\) 3.67874 + 8.26258i 0.309806 + 0.695835i
\(142\) 1.94171 0.633880i 0.162945 0.0531940i
\(143\) −5.29508 + 10.7220i −0.442797 + 0.896622i
\(144\) −5.08171 + 15.9403i −0.423476 + 1.32836i
\(145\) 2.20347 0.981048i 0.182988 0.0814716i
\(146\) 0.596428 + 0.343246i 0.0493607 + 0.0284072i
\(147\) −13.6115 12.2558i −1.12265 1.01084i
\(148\) −0.751520 0.241881i −0.0617746 0.0198825i
\(149\) −12.6065 5.61278i −1.03277 0.459817i −0.180859 0.983509i \(-0.557888\pi\)
−0.851908 + 0.523692i \(0.824554\pi\)
\(150\) 12.7644 + 5.66188i 1.04221 + 0.462290i
\(151\) −6.10792 1.98458i −0.497056 0.161503i 0.0497516 0.998762i \(-0.484157\pi\)
−0.546807 + 0.837258i \(0.684157\pi\)
\(152\) −12.9695 + 14.5252i −1.05197 + 1.17815i
\(153\) −8.89012 5.13271i −0.718724 0.414955i
\(154\) −0.571657 1.82225i −0.0460654 0.146841i
\(155\) 12.5126i 1.00503i
\(156\) −2.50958 + 19.1625i −0.200927 + 1.53423i
\(157\) −3.59022 + 11.0496i −0.286531 + 0.881850i 0.699405 + 0.714725i \(0.253448\pi\)
−0.985936 + 0.167125i \(0.946552\pi\)
\(158\) −8.07438 + 0.859976i −0.642363 + 0.0684160i
\(159\) 18.4306 1.93713i 1.46164 0.153624i
\(160\) −5.94603 2.59808i −0.470075 0.205397i
\(161\) −0.107527 0.330935i −0.00847433 0.0260813i
\(162\) −4.96023 + 2.87297i −0.389712 + 0.225722i
\(163\) 1.65827 15.7774i 0.129886 1.23578i −0.714343 0.699795i \(-0.753275\pi\)
0.844229 0.535983i \(-0.180059\pi\)
\(164\) 19.7442 14.4289i 1.54177 1.12671i
\(165\) 0.948482 + 10.1519i 0.0738392 + 0.790321i
\(166\) −3.81444 0.805257i −0.296058 0.0625000i
\(167\) 5.86905 + 13.1821i 0.454161 + 1.02006i 0.984994 + 0.172586i \(0.0552122\pi\)
−0.530834 + 0.847476i \(0.678121\pi\)
\(168\) −1.82458 2.48947i −0.140770 0.192067i
\(169\) 0.625936 + 12.9849i 0.0481489 + 0.998840i
\(170\) 2.33571 3.22423i 0.179141 0.247287i
\(171\) 28.6386 3.01004i 2.19005 0.230183i
\(172\) −15.1496 + 6.79545i −1.15515 + 0.518148i
\(173\) −2.18597 10.2842i −0.166197 0.781893i −0.979722 0.200363i \(-0.935788\pi\)
0.813525 0.581530i \(-0.197546\pi\)
\(174\) −7.58304 2.45226i −0.574869 0.185905i
\(175\) −1.29914 + 0.750058i −0.0982057 + 0.0566991i
\(176\) 1.30737 + 13.2019i 0.0985467 + 0.995132i
\(177\) 0.209812i 0.0157704i
\(178\) −13.4632 + 2.88122i −1.00911 + 0.215957i
\(179\) −3.03863 + 2.73600i −0.227118 + 0.204498i −0.774831 0.632168i \(-0.782165\pi\)
0.547713 + 0.836666i \(0.315499\pi\)
\(180\) 3.92723 + 8.75526i 0.292718 + 0.652579i
\(181\) 7.38460 5.36523i 0.548893 0.398794i −0.278484 0.960441i \(-0.589832\pi\)
0.827377 + 0.561647i \(0.189832\pi\)
\(182\) −1.50500 1.43022i −0.111558 0.106015i
\(183\) −11.7015 36.0135i −0.865000 2.66220i
\(184\) 0.262659 + 2.40282i 0.0193635 + 0.177138i
\(185\) −0.413655 + 0.184171i −0.0304125 + 0.0135405i
\(186\) 27.6218 30.7628i 2.02533 2.25564i
\(187\) −8.08494 0.944381i −0.591229 0.0690600i
\(188\) 6.17358 + 2.72816i 0.450255 + 0.198972i
\(189\) −0.134904 + 1.28352i −0.00981279 + 0.0933624i
\(190\) 0.0154904 + 11.1684i 0.00112379 + 0.810241i
\(191\) 7.70052 + 6.93358i 0.557190 + 0.501696i 0.898926 0.438099i \(-0.144348\pi\)
−0.341736 + 0.939796i \(0.611015\pi\)
\(192\) 8.88330 + 19.5135i 0.641097 + 1.40827i
\(193\) 0.612297 + 5.82562i 0.0440741 + 0.419337i 0.994206 + 0.107489i \(0.0342812\pi\)
−0.950132 + 0.311848i \(0.899052\pi\)
\(194\) −11.7955 + 8.59495i −0.846867 + 0.617081i
\(195\) 6.25905 + 9.14800i 0.448220 + 0.655102i
\(196\) −13.6684 + 0.0379158i −0.976312 + 0.00270827i
\(197\) −7.35103 + 12.7324i −0.523739 + 0.907143i 0.475879 + 0.879511i \(0.342130\pi\)
−0.999618 + 0.0276319i \(0.991203\pi\)
\(198\) 11.6923 15.7535i 0.830938 1.11956i
\(199\) 2.36330 1.36445i 0.167530 0.0967236i −0.413891 0.910327i \(-0.635830\pi\)
0.581421 + 0.813603i \(0.302497\pi\)
\(200\) 9.89702 3.26133i 0.699825 0.230611i
\(201\) −2.34463 11.0306i −0.165378 0.778041i
\(202\) 8.40953 + 3.73019i 0.591692 + 0.262456i
\(203\) 0.692663 0.503249i 0.0486154 0.0353211i
\(204\) −12.8600 + 2.77080i −0.900384 + 0.193994i
\(205\) 2.91610 13.7192i 0.203669 0.958190i
\(206\) 1.68376 2.92571i 0.117313 0.203844i
\(207\) 2.10101 2.89179i 0.146030 0.200994i
\(208\) 8.20980 + 11.8574i 0.569248 + 0.822166i
\(209\) 19.9054 11.1876i 1.37688 0.773860i
\(210\) −1.73206 0.365651i −0.119524 0.0252323i
\(211\) −2.59289 + 1.15443i −0.178502 + 0.0794743i −0.494042 0.869438i \(-0.664481\pi\)
0.315540 + 0.948912i \(0.397814\pi\)
\(212\) 9.22530 10.3031i 0.633596 0.707617i
\(213\) −3.68137 + 1.19615i −0.252243 + 0.0819588i
\(214\) −13.2213 1.37108i −0.903792 0.0937251i
\(215\) −3.87334 + 8.69966i −0.264160 + 0.593312i
\(216\) 2.73485 8.53773i 0.186083 0.580919i
\(217\) 0.923447 + 4.34448i 0.0626877 + 0.294922i
\(218\) −13.8385 + 12.4951i −0.937263 + 0.846272i
\(219\) −1.12938 0.652046i −0.0763162 0.0440612i
\(220\) 5.60953 + 5.14081i 0.378194 + 0.346593i
\(221\) −8.18250 + 3.36922i −0.550414 + 0.226639i
\(222\) 1.42356 + 0.460359i 0.0955428 + 0.0308973i
\(223\) 13.2863 + 14.7559i 0.889717 + 0.988131i 0.999983 0.00577107i \(-0.00183700\pi\)
−0.110266 + 0.993902i \(0.535170\pi\)
\(224\) −2.25626 0.463253i −0.150753 0.0309524i
\(225\) −14.0776 6.26775i −0.938507 0.417850i
\(226\) −9.70113 + 13.3915i −0.645310 + 0.890788i
\(227\) −15.7044 14.1403i −1.04234 0.938526i −0.0441700 0.999024i \(-0.514064\pi\)
−0.998168 + 0.0604984i \(0.980731\pi\)
\(228\) 24.6165 27.4923i 1.63026 1.82072i
\(229\) 3.51277 4.83492i 0.232131 0.319500i −0.677023 0.735962i \(-0.736730\pi\)
0.909153 + 0.416462i \(0.136730\pi\)
\(230\) 1.03152 + 0.926200i 0.0680166 + 0.0610718i
\(231\) 1.07855 + 3.45482i 0.0709631 + 0.227311i
\(232\) −5.42313 + 2.44162i −0.356046 + 0.160300i
\(233\) 6.80620 9.36793i 0.445889 0.613713i −0.525619 0.850720i \(-0.676166\pi\)
0.971508 + 0.237007i \(0.0761663\pi\)
\(234\) 2.79880 21.1431i 0.182963 1.38217i
\(235\) 3.68165 1.19624i 0.240164 0.0780341i
\(236\) −0.105090 0.116065i −0.00684078 0.00755521i
\(237\) 15.3039 1.60850i 0.994092 0.104483i
\(238\) 0.573029 1.29186i 0.0371439 0.0837390i
\(239\) 9.39437 + 3.05242i 0.607671 + 0.197444i 0.596659 0.802495i \(-0.296495\pi\)
0.0110125 + 0.999939i \(0.496495\pi\)
\(240\) 11.2614 + 4.93921i 0.726918 + 0.318824i
\(241\) −13.0798 22.6549i −0.842544 1.45933i −0.887737 0.460350i \(-0.847724\pi\)
0.0451935 0.998978i \(-0.485610\pi\)
\(242\) 3.56428 15.1425i 0.229121 0.973398i
\(243\) 17.6425 10.1859i 1.13177 0.653427i
\(244\) −24.5115 14.0612i −1.56919 0.900177i
\(245\) −5.82579 + 5.24557i −0.372196 + 0.335127i
\(246\) −37.4549 + 27.2920i −2.38803 + 1.74007i
\(247\) 13.0143 21.1379i 0.828083 1.34497i
\(248\) −0.128378 30.8528i −0.00815200 1.95915i
\(249\) 7.22656 + 1.53605i 0.457964 + 0.0973433i
\(250\) 7.02690 12.2100i 0.444420 0.772230i
\(251\) 4.52674 + 0.475779i 0.285725 + 0.0300309i 0.246307 0.969192i \(-0.420783\pi\)
0.0394182 + 0.999223i \(0.487450\pi\)
\(252\) 2.00972 + 2.75007i 0.126601 + 0.173238i
\(253\) 0.621303 2.76540i 0.0390610 0.173860i
\(254\) −19.5412 17.5459i −1.22612 1.10093i
\(255\) −4.43484 + 6.10403i −0.277720 + 0.382249i
\(256\) 14.6880 + 6.34520i 0.918002 + 0.396575i
\(257\) 24.4233 + 5.19133i 1.52348 + 0.323826i 0.892169 0.451702i \(-0.149183\pi\)
0.631313 + 0.775528i \(0.282516\pi\)
\(258\) 28.7275 12.8381i 1.78850 0.799265i
\(259\) −0.130033 + 0.0944744i −0.00807985 + 0.00587035i
\(260\) 8.04446 + 1.92554i 0.498896 + 0.119417i
\(261\) 8.36458 + 2.71782i 0.517754 + 0.168229i
\(262\) −7.73401 + 6.98318i −0.477809 + 0.431423i
\(263\) −10.8330 + 18.7633i −0.667992 + 1.15700i 0.310472 + 0.950582i \(0.399513\pi\)
−0.978465 + 0.206414i \(0.933821\pi\)
\(264\) −2.44287 25.0221i −0.150348 1.54001i
\(265\) 7.93185i 0.487250i
\(266\) 0.829625 + 3.87663i 0.0508676 + 0.237692i
\(267\) 25.5215 5.42476i 1.56189 0.331990i
\(268\) −6.82203 4.92764i −0.416722 0.301003i
\(269\) −3.99160 1.77717i −0.243372 0.108356i 0.281426 0.959583i \(-0.409193\pi\)
−0.524798 + 0.851227i \(0.675859\pi\)
\(270\) −2.09788 4.69438i −0.127673 0.285691i
\(271\) −3.68723 + 17.3471i −0.223983 + 1.05376i 0.712126 + 0.702051i \(0.247732\pi\)
−0.936110 + 0.351708i \(0.885601\pi\)
\(272\) −5.72619 + 7.97409i −0.347201 + 0.483500i
\(273\) 2.84834 + 2.71434i 0.172389 + 0.164280i
\(274\) 3.48467 + 10.6743i 0.210516 + 0.644858i
\(275\) −12.2183 0.141260i −0.736793 0.00851827i
\(276\) −0.491445 4.55423i −0.0295815 0.274132i
\(277\) 14.8502 + 1.56082i 0.892260 + 0.0937803i 0.539551 0.841953i \(-0.318594\pi\)
0.352709 + 0.935733i \(0.385261\pi\)
\(278\) −0.0287713 20.7438i −0.00172559 1.24413i
\(279\) −30.5294 + 33.9063i −1.82774 + 2.02992i
\(280\) −1.14130 + 0.665279i −0.0682059 + 0.0397580i
\(281\) −15.8147 + 11.4900i −0.943424 + 0.685437i −0.949242 0.314546i \(-0.898148\pi\)
0.00581872 + 0.999983i \(0.498148\pi\)
\(282\) −11.6923 5.18631i −0.696264 0.308840i
\(283\) −12.8675 14.2909i −0.764896 0.849503i 0.227347 0.973814i \(-0.426995\pi\)
−0.992243 + 0.124311i \(0.960328\pi\)
\(284\) −1.43736 + 2.50561i −0.0852919 + 0.148681i
\(285\) 21.1651i 1.25371i
\(286\) −4.60382 16.2728i −0.272230 0.962232i
\(287\) 4.97865i 0.293880i
\(288\) −9.77337 21.5479i −0.575901 1.26972i
\(289\) 7.34474 + 8.15716i 0.432043 + 0.479833i
\(290\) −1.38309 + 3.11810i −0.0812177 + 0.183101i
\(291\) 22.3760 16.2571i 1.31170 0.953009i
\(292\) −0.951353 + 0.204976i −0.0556737 + 0.0119953i
\(293\) 1.33565 1.48339i 0.0780294 0.0866604i −0.702866 0.711322i \(-0.748097\pi\)
0.780895 + 0.624662i \(0.214763\pi\)
\(294\) 25.9028 0.0359268i 1.51068 0.00209529i
\(295\) −0.0893088 0.00938673i −0.00519976 0.000546517i
\(296\) 1.01808 0.458363i 0.0591746 0.0266418i
\(297\) −6.27698 + 8.43276i −0.364227 + 0.489318i
\(298\) 18.5520 6.05636i 1.07469 0.350836i
\(299\) −0.868928 2.95619i −0.0502514 0.170961i
\(300\) −18.7642 + 6.15446i −1.08335 + 0.355328i
\(301\) −0.702811 + 3.30646i −0.0405093 + 0.190581i
\(302\) 8.29209 3.70566i 0.477156 0.213237i
\(303\) −15.9269 7.09112i −0.914978 0.407374i
\(304\) −0.152782 27.5383i −0.00876267 1.57943i
\(305\) −15.8531 + 3.36968i −0.907745 + 0.192947i
\(306\) 14.1961 3.03805i 0.811535 0.173674i
\(307\) 1.71641i 0.0979608i −0.998800 0.0489804i \(-0.984403\pi\)
0.998800 0.0489804i \(-0.0155972\pi\)
\(308\) 2.32708 + 1.37095i 0.132598 + 0.0781168i
\(309\) −3.19854 + 5.54004i −0.181959 + 0.315162i
\(310\) −11.8588 13.1338i −0.673533 0.745951i
\(311\) −13.0380 4.23630i −0.739316 0.240218i −0.0849385 0.996386i \(-0.527069\pi\)
−0.654378 + 0.756168i \(0.727069\pi\)
\(312\) −15.5271 22.4924i −0.879047 1.27338i
\(313\) −13.5599 + 9.85187i −0.766453 + 0.556861i −0.900883 0.434062i \(-0.857080\pi\)
0.134430 + 0.990923i \(0.457080\pi\)
\(314\) −6.70374 15.0008i −0.378314 0.846545i
\(315\) 1.91087 + 0.406169i 0.107666 + 0.0228850i
\(316\) 7.66024 8.55517i 0.430922 0.481266i
\(317\) 16.6808 22.9592i 0.936889 1.28952i −0.0202214 0.999796i \(-0.506437\pi\)
0.957111 0.289722i \(-0.0935629\pi\)
\(318\) −17.5098 + 19.5009i −0.981899 + 1.09356i
\(319\) 6.94373 0.648748i 0.388774 0.0363229i
\(320\) 8.70359 2.90827i 0.486546 0.162577i
\(321\) 25.0519 + 2.63306i 1.39826 + 0.146963i
\(322\) 0.426510 + 0.245457i 0.0237685 + 0.0136788i
\(323\) 16.5276 + 3.51306i 0.919622 + 0.195472i
\(324\) 2.48366 7.71668i 0.137981 0.428704i
\(325\) −11.6871 + 6.31391i −0.648285 + 0.350233i
\(326\) 13.2124 + 18.1324i 0.731767 + 1.00426i
\(327\) 26.2579 23.6428i 1.45207 1.30745i
\(328\) −7.04961 + 33.8579i −0.389249 + 1.86949i
\(329\) 1.19002 0.687058i 0.0656078 0.0378787i
\(330\) −10.6170 9.75699i −0.584447 0.537105i
\(331\) −9.61565 16.6548i −0.528524 0.915431i −0.999447 0.0332562i \(-0.989412\pi\)
0.470923 0.882174i \(-0.343921\pi\)
\(332\) 4.76702 2.76990i 0.261624 0.152018i
\(333\) −1.57027 0.510213i −0.0860504 0.0279595i
\(334\) −18.6538 8.27423i −1.02069 0.452746i
\(335\) −4.80022 + 0.504523i −0.262264 + 0.0275650i
\(336\) 4.27458 + 0.883832i 0.233197 + 0.0482170i
\(337\) 12.1374 3.94369i 0.661167 0.214826i 0.0408357 0.999166i \(-0.486998\pi\)
0.620332 + 0.784340i \(0.286998\pi\)
\(338\) −12.9635 13.0364i −0.705120 0.709088i
\(339\) 18.4196 25.3524i 1.00042 1.37696i
\(340\) 0.604077 + 5.59799i 0.0327607 + 0.303594i
\(341\) −11.5768 + 34.2761i −0.626916 + 1.85616i
\(342\) −27.2078 + 30.3017i −1.47123 + 1.63853i
\(343\) −3.31096 + 4.55714i −0.178775 + 0.246063i
\(344\) 9.46141 21.4909i 0.510125 1.15871i
\(345\) −1.95238 1.75793i −0.105113 0.0946440i
\(346\) 12.0414 + 8.72307i 0.647348 + 0.468955i
\(347\) 13.0470 + 5.80890i 0.700400 + 0.311838i 0.725865 0.687838i \(-0.241440\pi\)
−0.0254646 + 0.999676i \(0.508107\pi\)
\(348\) 10.2837 4.61281i 0.551263 0.247273i
\(349\) −11.2097 12.4496i −0.600041 0.666414i 0.364236 0.931307i \(-0.381330\pi\)
−0.964278 + 0.264893i \(0.914663\pi\)
\(350\) 0.652776 2.01856i 0.0348923 0.107897i
\(351\) −1.51543 + 11.3273i −0.0808879 + 0.604608i
\(352\) −13.8844 12.6184i −0.740042 0.672561i
\(353\) 18.7219 + 10.8091i 0.996467 + 0.575310i 0.907201 0.420697i \(-0.138215\pi\)
0.0892658 + 0.996008i \(0.471548\pi\)
\(354\) 0.198849 + 0.220229i 0.0105687 + 0.0117051i
\(355\) 0.344455 + 1.62053i 0.0182818 + 0.0860089i
\(356\) 11.4010 15.7841i 0.604253 0.836554i
\(357\) −1.08933 + 2.44668i −0.0576535 + 0.129492i
\(358\) 0.596464 5.75171i 0.0315241 0.303987i
\(359\) 12.2858 3.99189i 0.648419 0.210684i 0.0337020 0.999432i \(-0.489270\pi\)
0.614717 + 0.788748i \(0.289270\pi\)
\(360\) −12.4200 5.46794i −0.654593 0.288186i
\(361\) −25.9435 + 11.5508i −1.36545 + 0.607937i
\(362\) −2.66637 + 12.6304i −0.140141 + 0.663838i
\(363\) −6.79440 + 28.6869i −0.356613 + 1.50567i
\(364\) 2.93522 + 0.0748707i 0.153847 + 0.00392429i
\(365\) −0.328078 + 0.451561i −0.0171724 + 0.0236358i
\(366\) 46.4143 + 26.7116i 2.42612 + 1.39624i
\(367\) −0.226769 + 1.06687i −0.0118373 + 0.0556900i −0.983670 0.179982i \(-0.942396\pi\)
0.971833 + 0.235672i \(0.0757292\pi\)
\(368\) −2.55297 2.27319i −0.133083 0.118498i
\(369\) 41.3754 30.0610i 2.15392 1.56491i
\(370\) 0.259646 0.585357i 0.0134983 0.0304313i
\(371\) −0.585384 2.75401i −0.0303916 0.142981i
\(372\) 0.162191 + 58.4688i 0.00840922 + 3.03147i
\(373\) −14.3028 + 8.25774i −0.740572 + 0.427569i −0.822277 0.569087i \(-0.807297\pi\)
0.0817053 + 0.996657i \(0.473963\pi\)
\(374\) 9.38141 6.67123i 0.485101 0.344961i
\(375\) −13.3486 + 23.1205i −0.689320 + 1.19394i
\(376\) −9.06573 + 2.98739i −0.467529 + 0.154063i
\(377\) 6.25710 4.28110i 0.322257 0.220488i
\(378\) −1.07486 1.47511i −0.0552846 0.0758712i
\(379\) 0.192436 + 1.83091i 0.00988479 + 0.0940475i 0.998352 0.0573878i \(-0.0182771\pi\)
−0.988467 + 0.151435i \(0.951610\pi\)
\(380\) −10.6011 11.7083i −0.543826 0.600621i
\(381\) 36.9860 + 33.3023i 1.89485 + 1.70613i
\(382\) −14.6542 + 0.0203252i −0.749773 + 0.00103993i
\(383\) 0.429082 4.08244i 0.0219251 0.208603i −0.978075 0.208254i \(-0.933222\pi\)
1.00000 0.000349552i \(-0.000111266\pi\)
\(384\) −27.8183 12.0633i −1.41960 0.615602i
\(385\) 1.51884 0.304531i 0.0774071 0.0155203i
\(386\) −6.16393 5.53457i −0.313736 0.281702i
\(387\) −31.7222 + 14.1236i −1.61253 + 0.717944i
\(388\) 4.23530 20.2009i 0.215015 1.02554i
\(389\) 2.16114 + 6.65129i 0.109574 + 0.337234i 0.990777 0.135505i \(-0.0432655\pi\)
−0.881203 + 0.472738i \(0.843266\pi\)
\(390\) −15.2398 3.67020i −0.771699 0.185848i
\(391\) 1.69682 1.23281i 0.0858120 0.0623460i
\(392\) 14.3111 12.9940i 0.722819 0.656296i
\(393\) 14.6749 13.2134i 0.740252 0.666526i
\(394\) −4.35107 20.3315i −0.219204 1.02428i
\(395\) 6.58623i 0.331389i
\(396\) 2.65755 + 27.6171i 0.133547 + 1.38781i
\(397\) 6.51274 3.76013i 0.326865 0.188716i −0.327583 0.944822i \(-0.606234\pi\)
0.654448 + 0.756107i \(0.272901\pi\)
\(398\) −1.18749 + 3.67203i −0.0595233 + 0.184062i
\(399\) −1.56202 7.34871i −0.0781987 0.367896i
\(400\) −7.29750 + 12.8032i −0.364875 + 0.640158i
\(401\) −22.3852 + 2.35278i −1.11786 + 0.117492i −0.645391 0.763853i \(-0.723305\pi\)
−0.472473 + 0.881345i \(0.656639\pi\)
\(402\) 12.9153 + 9.35620i 0.644159 + 0.466645i
\(403\) 7.08625 + 38.6864i 0.352991 + 1.92711i
\(404\) −12.3624 + 4.05472i −0.615051 + 0.201730i
\(405\) −1.89108 4.24745i −0.0939688 0.211057i
\(406\) −0.250100 + 1.18471i −0.0124123 + 0.0587960i
\(407\) −1.30354 + 0.121789i −0.0646140 + 0.00603685i
\(408\) 10.8726 15.0965i 0.538272 0.747387i
\(409\) −3.45922 + 32.9122i −0.171047 + 1.62741i 0.486282 + 0.873802i \(0.338353\pi\)
−0.657329 + 0.753604i \(0.728314\pi\)
\(410\) 9.94147 + 17.1641i 0.490974 + 0.847675i
\(411\) −6.57566 20.2378i −0.324354 0.998258i
\(412\) 1.00549 + 4.66676i 0.0495369 + 0.229915i
\(413\) −0.0317016 + 0.00333198i −0.00155994 + 0.000163956i
\(414\) 0.535368 + 5.02661i 0.0263119 + 0.247044i
\(415\) 0.977146 3.00735i 0.0479662 0.147625i
\(416\) −19.8553 4.66535i −0.973488 0.228738i
\(417\) 39.3112i 1.92508i
\(418\) −10.2907 + 30.6084i −0.503335 + 1.49711i
\(419\) −25.4970 14.7207i −1.24561 0.719154i −0.275381 0.961335i \(-0.588804\pi\)
−0.970231 + 0.242181i \(0.922137\pi\)
\(420\) 2.16461 1.25776i 0.105622 0.0613723i
\(421\) −9.65014 3.13552i −0.470319 0.152816i 0.0642622 0.997933i \(-0.479531\pi\)
−0.534581 + 0.845117i \(0.679531\pi\)
\(422\) 1.62752 3.66917i 0.0792266 0.178612i
\(423\) 12.8952 + 5.74130i 0.626984 + 0.279151i
\(424\) 0.0813801 + 19.5579i 0.00395217 + 0.949816i
\(425\) −6.71956 6.05032i −0.325947 0.293484i
\(426\) 2.73051 4.74456i 0.132293 0.229875i
\(427\) −5.25565 + 2.33997i −0.254339 + 0.113239i
\(428\) 15.1772 11.0914i 0.733620 0.536121i
\(429\) 8.68184 + 30.8504i 0.419163 + 1.48947i
\(430\) −4.17945 12.8026i −0.201551 0.617395i
\(431\) −11.0332 24.7809i −0.531448 1.19365i −0.957363 0.288889i \(-0.906714\pi\)
0.425914 0.904764i \(-0.359953\pi\)
\(432\) 5.22099 + 11.5536i 0.251195 + 0.555873i
\(433\) 2.98525 3.31546i 0.143462 0.159331i −0.667131 0.744940i \(-0.732478\pi\)
0.810593 + 0.585609i \(0.199145\pi\)
\(434\) −5.08678 3.68499i −0.244173 0.176885i
\(435\) 2.62926 5.90541i 0.126063 0.283143i
\(436\) 2.68343 26.2309i 0.128513 1.25623i
\(437\) −1.81811 + 5.59558i −0.0869722 + 0.267673i
\(438\) 1.80343 0.385946i 0.0861712 0.0184412i
\(439\) 1.57498 2.72795i 0.0751697 0.130198i −0.825990 0.563684i \(-0.809383\pi\)
0.901160 + 0.433487i \(0.142717\pi\)
\(440\) −10.7603 0.0796253i −0.512975 0.00379599i
\(441\) −28.5853 −1.36120
\(442\) 5.39559 11.2915i 0.256642 0.537081i
\(443\) −8.16378 2.65257i −0.387873 0.126028i 0.108587 0.994087i \(-0.465367\pi\)
−0.496461 + 0.868059i \(0.665367\pi\)
\(444\) −1.93054 + 0.865958i −0.0916196 + 0.0410966i
\(445\) −1.16731 11.1062i −0.0553358 0.526485i
\(446\) −27.9310 2.89650i −1.32257 0.137153i
\(447\) −35.1734 + 11.4285i −1.66365 + 0.540551i
\(448\) 2.80734 1.65212i 0.132634 0.0780552i
\(449\) −29.1714 3.06603i −1.37668 0.144695i −0.612895 0.790164i \(-0.709995\pi\)
−0.763786 + 0.645469i \(0.776662\pi\)
\(450\) 20.7168 6.76309i 0.976601 0.318815i
\(451\) 20.6813 34.8835i 0.973847 1.64260i
\(452\) −2.50897 23.2506i −0.118012 1.09362i
\(453\) −15.7239 + 7.00074i −0.738774 + 0.328923i
\(454\) 29.8857 0.0414510i 1.40260 0.00194539i
\(455\) 1.28282 1.09099i 0.0601397 0.0511465i
\(456\) 0.217152 + 52.1876i 0.0101691 + 2.44391i
\(457\) 0.308925 + 2.93922i 0.0144509 + 0.137491i 0.999369 0.0355330i \(-0.0113129\pi\)
−0.984918 + 0.173024i \(0.944646\pi\)
\(458\) 0.895106 + 8.40421i 0.0418255 + 0.392703i
\(459\) −7.60914 + 1.61737i −0.355164 + 0.0754925i
\(460\) −1.96055 + 0.00543852i −0.0914109 + 0.000253572i
\(461\) −15.1771 26.2875i −0.706869 1.22433i −0.966013 0.258494i \(-0.916774\pi\)
0.259144 0.965839i \(-0.416559\pi\)
\(462\) −4.40641 2.60417i −0.205005 0.121157i
\(463\) −30.7756 −1.43026 −0.715131 0.698990i \(-0.753633\pi\)
−0.715131 + 0.698990i \(0.753633\pi\)
\(464\) 3.37835 7.70262i 0.156836 0.357585i
\(465\) 22.4388 + 24.9208i 1.04058 + 1.15568i
\(466\) 1.73432 + 16.2836i 0.0803407 + 0.754325i
\(467\) 18.9699 + 26.1099i 0.877824 + 1.20822i 0.977019 + 0.213153i \(0.0683734\pi\)
−0.0991946 + 0.995068i \(0.531627\pi\)
\(468\) 17.1006 + 24.8455i 0.790476 + 1.14848i
\(469\) −1.62945 + 0.529439i −0.0752408 + 0.0244472i
\(470\) −2.73071 + 4.74492i −0.125958 + 0.218867i
\(471\) 12.6647 + 28.4454i 0.583558 + 1.31069i
\(472\) 0.220309 + 0.0222290i 0.0101405 + 0.00102317i
\(473\) −18.6594 + 20.2477i −0.857961 + 0.930989i
\(474\) −14.5393 + 16.1926i −0.667811 + 0.743751i
\(475\) 25.2256 + 2.65132i 1.15743 + 0.121651i
\(476\) 0.622883 + 1.89909i 0.0285498 + 0.0870448i
\(477\) 19.3529 21.4936i 0.886109 0.984123i
\(478\) −12.7537 + 5.69954i −0.583343 + 0.260691i
\(479\) −25.8013 + 2.71182i −1.17889 + 0.123906i −0.673635 0.739064i \(-0.735268\pi\)
−0.505255 + 0.862970i \(0.668601\pi\)
\(480\) −16.5017 + 5.48852i −0.753194 + 0.250515i
\(481\) −1.17464 + 0.803687i −0.0535589 + 0.0366450i
\(482\) 35.2004 + 11.3834i 1.60333 + 0.518497i
\(483\) −0.807625 0.466283i −0.0367482 0.0212166i
\(484\) 10.6101 + 19.2724i 0.482276 + 0.876019i
\(485\) −5.91895 10.2519i −0.268766 0.465516i
\(486\) −8.86480 + 27.4124i −0.402116 + 1.24345i
\(487\) 26.0727 5.54193i 1.18147 0.251129i 0.425021 0.905184i \(-0.360267\pi\)
0.756447 + 0.654055i \(0.226934\pi\)
\(488\) 39.0551 8.47141i 1.76794 0.383483i
\(489\) −24.9909 34.3970i −1.13013 1.55549i
\(490\) 1.14357 11.0274i 0.0516611 0.498168i
\(491\) 0.0611686 + 0.0130018i 0.00276050 + 0.000586763i 0.209292 0.977853i \(-0.432884\pi\)
−0.206531 + 0.978440i \(0.566218\pi\)
\(492\) 13.4486 64.1450i 0.606308 2.89188i
\(493\) 4.17507 + 3.03337i 0.188036 + 0.136616i
\(494\) 6.37291 + 34.5218i 0.286731 + 1.55321i
\(495\) 11.7016 + 10.7837i 0.525946 + 0.484690i
\(496\) 29.3755 + 32.2630i 1.31900 + 1.44865i
\(497\) 0.239196 + 0.537243i 0.0107294 + 0.0240986i
\(498\) −9.04116 + 5.23665i −0.405144 + 0.234660i
\(499\) −3.45934 10.6468i −0.154861 0.476614i 0.843285 0.537466i \(-0.180618\pi\)
−0.998147 + 0.0608517i \(0.980618\pi\)
\(500\) 4.19626 + 19.4760i 0.187662 + 0.870994i
\(501\) 35.3287 + 15.7294i 1.57837 + 0.702736i
\(502\) −5.20242 + 3.79081i −0.232195 + 0.169192i
\(503\) −20.6166 + 4.38220i −0.919249 + 0.195392i −0.643153 0.765738i \(-0.722374\pi\)
−0.276096 + 0.961130i \(0.589041\pi\)
\(504\) −4.71589 0.981903i −0.210063 0.0437374i
\(505\) −3.73097 + 6.46223i −0.166026 + 0.287566i
\(506\) 1.96876 + 3.49155i 0.0875221 + 0.155218i
\(507\) 24.5326 + 24.7391i 1.08953 + 1.09870i
\(508\) 37.1406 0.103027i 1.64785 0.00457110i
\(509\) 26.2444 23.6306i 1.16326 1.04741i 0.165135 0.986271i \(-0.447194\pi\)
0.998129 0.0611369i \(-0.0194726\pi\)
\(510\) −1.13006 10.6102i −0.0500400 0.469829i
\(511\) −0.0805859 + 0.180999i −0.00356491 + 0.00800692i
\(512\) −21.4310 + 7.26034i −0.947125 + 0.320865i
\(513\) 14.6017 16.2168i 0.644679 0.715989i
\(514\) −30.5560 + 17.6981i −1.34777 + 0.780629i
\(515\) 2.21508 + 1.60935i 0.0976082 + 0.0709165i
\(516\) −17.9866 + 40.7021i −0.791816 + 1.79181i
\(517\) 11.1921 + 0.129395i 0.492226 + 0.00569077i
\(518\) 0.0469511 0.222404i 0.00206291 0.00977187i
\(519\) −22.7964 16.5626i −1.00065 0.727016i
\(520\) −10.2688 + 5.60300i −0.450317 + 0.245708i
\(521\) −4.20229 12.9333i −0.184106 0.566619i 0.815826 0.578297i \(-0.196283\pi\)
−0.999932 + 0.0116782i \(0.996283\pi\)
\(522\) −11.3557 + 5.07477i −0.497026 + 0.222117i
\(523\) 2.52379 + 24.0123i 0.110358 + 1.04998i 0.899843 + 0.436213i \(0.143681\pi\)
−0.789486 + 0.613769i \(0.789653\pi\)
\(524\) 1.49971 14.6598i 0.0655150 0.640418i
\(525\) −1.24237 + 3.82362i −0.0542214 + 0.166876i
\(526\) −6.41206 29.9620i −0.279579 1.30640i
\(527\) −23.1850 + 13.3858i −1.00995 + 0.583096i
\(528\) 26.2789 + 23.9493i 1.14364 + 1.04226i
\(529\) −11.1348 19.2861i −0.484124 0.838527i
\(530\) 7.51741 + 8.32568i 0.326536 + 0.361644i
\(531\) −0.219105 0.243340i −0.00950833 0.0105601i
\(532\) −4.54490 3.28284i −0.197046 0.142329i
\(533\) 1.24642 44.0686i 0.0539884 1.90882i
\(534\) −21.6474 + 29.8821i −0.936773 + 1.29312i
\(535\) 2.24158 10.5458i 0.0969122 0.455936i
\(536\) 11.8309 1.29327i 0.511018 0.0558609i
\(537\) −1.14547 + 10.8984i −0.0494305 + 0.470300i
\(538\) 5.87411 1.91762i 0.253251 0.0826747i
\(539\) −20.8121 + 8.97930i −0.896440 + 0.386766i
\(540\) 6.65114 + 2.93920i 0.286219 + 0.126483i
\(541\) −18.8630 13.7048i −0.810985 0.589215i 0.103131 0.994668i \(-0.467114\pi\)
−0.914116 + 0.405453i \(0.867114\pi\)
\(542\) −12.5704 21.7030i −0.539944 0.932222i
\(543\) 5.08618 23.9286i 0.218269 1.02687i
\(544\) −1.54694 13.7970i −0.0663243 0.591542i
\(545\) −8.88907 12.2348i −0.380766 0.524079i
\(546\) −5.56229 0.149601i −0.238044 0.00640234i
\(547\) 6.25714 19.2575i 0.267536 0.823390i −0.723563 0.690259i \(-0.757497\pi\)
0.991098 0.133132i \(-0.0425033\pi\)
\(548\) −13.7743 7.90171i −0.588407 0.337544i
\(549\) −51.1801 29.5488i −2.18431 1.26111i
\(550\) 12.9589 11.4317i 0.552568 0.487447i
\(551\) −14.4766 −0.616724
\(552\) 4.83212 + 4.31459i 0.205669 + 0.183641i
\(553\) −0.486075 2.28680i −0.0206700 0.0972447i
\(554\) −17.0668 + 12.4359i −0.725097 + 0.528352i
\(555\) −0.493588 + 1.10862i −0.0209516 + 0.0470581i
\(556\) 19.6901 + 21.7465i 0.835046 + 0.922255i
\(557\) −34.3484 7.30097i −1.45539 0.309352i −0.588760 0.808308i \(-0.700384\pi\)
−0.866627 + 0.498956i \(0.833717\pi\)
\(558\) −0.0894940 64.5240i −0.00378858 2.73152i
\(559\) −7.04872 + 29.0913i −0.298129 + 1.23043i
\(560\) 0.567453 1.77998i 0.0239793 0.0752180i
\(561\) −17.7961 + 12.6179i −0.751350 + 0.532726i
\(562\) 5.71022 27.0489i 0.240871 1.14099i
\(563\) −2.39960 + 22.8307i −0.101131 + 0.962197i 0.819847 + 0.572583i \(0.194058\pi\)
−0.920978 + 0.389615i \(0.872608\pi\)
\(564\) 17.1881 5.63752i 0.723751 0.237383i
\(565\) −9.96749 8.97477i −0.419335 0.377571i
\(566\) 27.0506 + 2.80521i 1.13702 + 0.117912i
\(567\) −0.970071 1.33519i −0.0407392 0.0560727i
\(568\) −0.865964 3.99229i −0.0363350 0.167513i
\(569\) 9.31634 8.38847i 0.390561 0.351663i −0.450335 0.892860i \(-0.648695\pi\)
0.840896 + 0.541197i \(0.182029\pi\)
\(570\) 20.0592 + 22.2160i 0.840187 + 0.930524i
\(571\) 25.3428 1.06056 0.530281 0.847822i \(-0.322086\pi\)
0.530281 + 0.847822i \(0.322086\pi\)
\(572\) 20.2550 + 12.7175i 0.846903 + 0.531747i
\(573\) 27.7709 1.16015
\(574\) 4.71851 + 5.22585i 0.196947 + 0.218123i
\(575\) 2.33977 2.10674i 0.0975752 0.0878571i
\(576\) 30.6807 + 13.3551i 1.27836 + 0.556463i
\(577\) −17.8354 24.5483i −0.742497 1.02196i −0.998471 0.0552762i \(-0.982396\pi\)
0.255974 0.966684i \(-0.417604\pi\)
\(578\) −15.4404 1.60120i −0.642235 0.0666011i
\(579\) 11.6666 + 10.5047i 0.484847 + 0.436558i
\(580\) −1.50342 4.58374i −0.0624260 0.190329i
\(581\) 0.117327 1.11629i 0.00486756 0.0463117i
\(582\) −8.07933 + 38.2712i −0.334899 + 1.58639i
\(583\) 7.33864 21.7280i 0.303935 0.899883i
\(584\) 0.804323 1.11680i 0.0332831 0.0462135i
\(585\) 16.8124 + 4.07360i 0.695109 + 0.168423i
\(586\) 0.00391533 + 2.82290i 0.000161741 + 0.116613i
\(587\) 33.5124 + 7.12328i 1.38320 + 0.294009i 0.838629 0.544703i \(-0.183358\pi\)
0.544575 + 0.838712i \(0.316691\pi\)
\(588\) −27.1548 + 24.5871i −1.11985 + 1.01395i
\(589\) 30.5456 68.6066i 1.25861 2.82689i
\(590\) 0.102639 0.0747896i 0.00422560 0.00307904i
\(591\) 8.19219 + 38.5412i 0.336982 + 1.58537i
\(592\) −0.634214 + 1.44600i −0.0260660 + 0.0594304i
\(593\) 13.5707 0.557282 0.278641 0.960395i \(-0.410116\pi\)
0.278641 + 0.960395i \(0.410116\pi\)
\(594\) −1.40351 14.8005i −0.0575867 0.607271i
\(595\) 0.992721 + 0.573148i 0.0406976 + 0.0234968i
\(596\) −13.7332 + 23.9397i −0.562534 + 0.980609i
\(597\) 2.26003 6.95566i 0.0924969 0.284676i
\(598\) 3.71381 + 2.27945i 0.151869 + 0.0932135i
\(599\) −11.5906 15.9531i −0.473578 0.651824i 0.503677 0.863892i \(-0.331980\pi\)
−0.977255 + 0.212068i \(0.931980\pi\)
\(600\) 13.8630 24.2438i 0.565955 0.989751i
\(601\) −7.95436 + 37.4223i −0.324465 + 1.52649i 0.449512 + 0.893274i \(0.351598\pi\)
−0.773977 + 0.633214i \(0.781735\pi\)
\(602\) −2.39600 4.13673i −0.0976535 0.168600i
\(603\) −14.2385 10.3449i −0.579837 0.421276i
\(604\) −5.19176 + 11.7485i −0.211250 + 0.478039i
\(605\) 11.9070 + 4.17553i 0.484086 + 0.169760i
\(606\) 23.4383 7.65154i 0.952118 0.310822i
\(607\) 3.00927 28.6313i 0.122143 1.16211i −0.746053 0.665887i \(-0.768053\pi\)
0.868195 0.496222i \(-0.165280\pi\)
\(608\) 26.2598 + 28.7608i 1.06497 + 1.16640i
\(609\) 0.477074 2.24446i 0.0193320 0.0909500i
\(610\) 13.4466 18.5618i 0.544437 0.751543i
\(611\) 10.7055 5.78357i 0.433097 0.233978i
\(612\) −12.0216 + 16.6432i −0.485945 + 0.672762i
\(613\) 19.5383 + 21.6995i 0.789145 + 0.876434i 0.994764 0.102198i \(-0.0325875\pi\)
−0.205619 + 0.978632i \(0.565921\pi\)
\(614\) 1.62673 + 1.80164i 0.0656495 + 0.0727081i
\(615\) −18.7948 32.5535i −0.757878 1.31268i
\(616\) −3.74194 + 0.766478i −0.150767 + 0.0308823i
\(617\) 2.68911 1.55256i 0.108259 0.0625036i −0.444893 0.895584i \(-0.646758\pi\)
0.553152 + 0.833080i \(0.313425\pi\)
\(618\) −1.89322 8.84653i −0.0761564 0.355860i
\(619\) 3.76261 11.5801i 0.151232 0.465445i −0.846527 0.532345i \(-0.821311\pi\)
0.997760 + 0.0669001i \(0.0213109\pi\)
\(620\) 24.8952 + 2.54679i 0.999814 + 0.102281i
\(621\) −0.283138 2.69388i −0.0113619 0.108102i
\(622\) 17.7003 7.91012i 0.709717 0.317167i
\(623\) −1.22496 3.77003i −0.0490769 0.151043i
\(624\) 37.6152 + 8.89340i 1.50581 + 0.356021i
\(625\) −5.65864 4.11124i −0.226345 0.164450i
\(626\) 4.89610 23.1925i 0.195688 0.926958i
\(627\) 19.5822 57.9783i 0.782036 2.31543i
\(628\) 21.2536 + 9.39217i 0.848112 + 0.374788i
\(629\) −0.783782 0.569451i −0.0312515 0.0227055i
\(630\) −2.39070 + 1.38470i −0.0952478 + 0.0551676i
\(631\) 23.8778 26.5190i 0.950562 1.05571i −0.0478208 0.998856i \(-0.515228\pi\)
0.998383 0.0568500i \(-0.0181057\pi\)
\(632\) 0.0675742 + 16.2399i 0.00268796 + 0.645990i
\(633\) −3.09393 + 6.94909i −0.122973 + 0.276201i
\(634\) 4.25052 + 39.9085i 0.168810 + 1.58497i
\(635\) 15.8302 14.2536i 0.628204 0.565637i
\(636\) −0.102815 37.0640i −0.00407688 1.46968i
\(637\) −15.0415 + 19.5176i −0.595966 + 0.773316i
\(638\) −6.67365 + 7.26188i −0.264212 + 0.287501i
\(639\) −3.02054 + 5.23172i −0.119491 + 0.206964i
\(640\) −6.37943 + 11.3015i −0.252169 + 0.446731i
\(641\) −43.3102 + 9.20587i −1.71065 + 0.363610i −0.956193 0.292738i \(-0.905433\pi\)
−0.754458 + 0.656348i \(0.772100\pi\)
\(642\) −28.7912 + 20.9791i −1.13630 + 0.827981i
\(643\) −27.6709 12.3199i −1.09123 0.485849i −0.219393 0.975637i \(-0.570408\pi\)
−0.871842 + 0.489788i \(0.837074\pi\)
\(644\) −0.680319 + 0.146580i −0.0268083 + 0.00577606i
\(645\) 7.88674 + 24.2729i 0.310540 + 0.955744i
\(646\) −20.6778 + 11.9766i −0.813556 + 0.471212i
\(647\) 10.6220 + 23.8575i 0.417595 + 0.937934i 0.992784 + 0.119914i \(0.0382618\pi\)
−0.575189 + 0.818021i \(0.695072\pi\)
\(648\) 4.70651 + 10.4537i 0.184889 + 0.410661i
\(649\) −0.235962 0.108343i −0.00926234 0.00425283i
\(650\) 6.28341 17.7039i 0.246455 0.694403i
\(651\) 9.63017 + 6.99673i 0.377436 + 0.274223i
\(652\) −31.0534 6.51062i −1.21614 0.254975i
\(653\) 37.4446 + 7.95909i 1.46532 + 0.311463i 0.870409 0.492330i \(-0.163854\pi\)
0.594910 + 0.803793i \(0.297188\pi\)
\(654\) −5.15427 + 49.7027i −0.201548 + 1.94353i
\(655\) −4.96788 6.83771i −0.194111 0.267171i
\(656\) −24.6892 42.2203i −0.963952 1.64843i
\(657\) −1.99078 + 0.423154i −0.0776678 + 0.0165088i
\(658\) −0.597946 + 1.84901i −0.0233104 + 0.0720820i
\(659\) −2.86399 4.96057i −0.111565 0.193236i 0.804836 0.593497i \(-0.202253\pi\)
−0.916401 + 0.400260i \(0.868920\pi\)
\(660\) 20.3913 + 0.179179i 0.793732 + 0.00697454i
\(661\) 30.8358 + 17.8031i 1.19937 + 0.692459i 0.960416 0.278571i \(-0.0898607\pi\)
0.238958 + 0.971030i \(0.423194\pi\)
\(662\) 25.8777 + 8.36851i 1.00576 + 0.325251i
\(663\) −10.2548 + 21.3841i −0.398262 + 0.830489i
\(664\) −2.37854 + 7.42537i −0.0923051 + 0.288160i
\(665\) −3.19795 + 0.336118i −0.124011 + 0.0130341i
\(666\) 2.13179 0.952681i 0.0826054 0.0369156i
\(667\) −1.20240 + 1.33540i −0.0465572 + 0.0517070i
\(668\) 27.4219 8.99409i 1.06099 0.347992i
\(669\) 52.9238 + 5.56251i 2.04615 + 0.215059i
\(670\) 4.56039 5.07898i 0.176183 0.196218i
\(671\) −46.5447 5.43676i −1.79684 0.209884i
\(672\) −5.32447 + 3.12352i −0.205396 + 0.120492i
\(673\) 6.45541 + 14.4991i 0.248838 + 0.558898i 0.994174 0.107791i \(-0.0343776\pi\)
−0.745336 + 0.666689i \(0.767711\pi\)
\(674\) −9.00244 + 15.6427i −0.346761 + 0.602536i
\(675\) −11.1060 + 3.60857i −0.427471 + 0.138894i
\(676\) 25.9624 + 1.39756i 0.998554 + 0.0537524i
\(677\) 5.26619 + 7.24829i 0.202396 + 0.278574i 0.898134 0.439721i \(-0.144923\pi\)
−0.695738 + 0.718295i \(0.744923\pi\)
\(678\) 4.69359 + 44.0684i 0.180256 + 1.69244i
\(679\) −2.81173 3.12274i −0.107904 0.119840i
\(680\) −5.93957 5.30343i −0.227772 0.203377i
\(681\) −56.6358 −2.17029
\(682\) −20.3337 46.9499i −0.778616 1.79780i
\(683\) −1.26276 2.18716i −0.0483182 0.0836895i 0.840855 0.541261i \(-0.182053\pi\)
−0.889173 + 0.457571i \(0.848719\pi\)
\(684\) −0.159760 57.5925i −0.00610859 2.20210i
\(685\) −8.90865 + 1.89359i −0.340382 + 0.0723504i
\(686\) −0.843680 7.92137i −0.0322118 0.302439i
\(687\) −1.67421 15.9290i −0.0638750 0.607730i
\(688\) 10.4368 + 31.5250i 0.397900 + 1.20188i
\(689\) −4.49206 24.5237i −0.171134 0.934280i
\(690\) 3.71541 0.00515322i 0.141443 0.000196180i
\(691\) −40.9692 + 18.2407i −1.55854 + 0.693908i −0.991539 0.129807i \(-0.958564\pi\)
−0.567004 + 0.823715i \(0.691897\pi\)
\(692\) −20.9065 + 2.25602i −0.794747 + 0.0857609i
\(693\) 4.85874 + 2.88060i 0.184568 + 0.109425i
\(694\) −19.2002 + 6.26798i −0.728830 + 0.237929i
\(695\) 16.7333 + 1.75874i 0.634728 + 0.0667126i
\(696\) −6.42249 + 14.5882i −0.243444 + 0.552964i
\(697\) 28.5404 9.27334i 1.08104 0.351253i
\(698\) 23.5654 + 2.44378i 0.891965 + 0.0924986i
\(699\) −3.24387 30.8634i −0.122694 1.16736i
\(700\) 1.22790 + 2.73745i 0.0464104 + 0.103466i
\(701\) −15.6750 5.09312i −0.592037 0.192364i −0.00235118 0.999997i \(-0.500748\pi\)
−0.589686 + 0.807633i \(0.700748\pi\)
\(702\) −9.14480 13.3260i −0.345148 0.502958i
\(703\) 2.71768 0.102499
\(704\) 26.5329 + 0.0859363i 0.999995 + 0.00323884i
\(705\) 5.18739 8.98482i 0.195368 0.338388i
\(706\) −29.8958 + 6.39790i −1.12514 + 0.240788i
\(707\) −0.818505 + 2.51910i −0.0307831 + 0.0947405i
\(708\) −0.417445 0.0427048i −0.0156885 0.00160494i
\(709\) −12.1369 + 27.2600i −0.455812 + 1.02377i 0.528757 + 0.848773i \(0.322658\pi\)
−0.984569 + 0.174997i \(0.944008\pi\)
\(710\) −1.89742 1.37454i −0.0712088 0.0515855i
\(711\) 16.0697 17.8472i 0.602662 0.669324i
\(712\) 2.99224 + 27.3731i 0.112139 + 1.02585i
\(713\) −3.79159 8.51605i −0.141996 0.318929i
\(714\) −1.17542 3.60057i −0.0439890 0.134748i
\(715\) 13.5203 2.31531i 0.505629 0.0865878i
\(716\) 4.82510 + 6.60259i 0.180323 + 0.246750i
\(717\) 24.1844 10.7676i 0.903182 0.402122i
\(718\) −9.11248 + 15.8340i −0.340075 + 0.590918i
\(719\) 23.0838 + 20.7847i 0.860879 + 0.775139i 0.975899 0.218224i \(-0.0700263\pi\)
−0.115019 + 0.993363i \(0.536693\pi\)
\(720\) 18.2189 6.03165i 0.678980 0.224786i
\(721\) 0.887871 + 0.395306i 0.0330660 + 0.0147219i
\(722\) 16.2844 36.7123i 0.606042 1.36629i
\(723\) −66.6777 21.6649i −2.47977 0.805726i
\(724\) −9.17169 15.7846i −0.340863 0.586628i
\(725\) 6.70901 + 3.87345i 0.249166 + 0.143856i
\(726\) −20.0563 36.5507i −0.744359 1.35652i
\(727\) 30.0752i 1.11543i 0.830033 + 0.557714i \(0.188321\pi\)
−0.830033 + 0.557714i \(0.811679\pi\)
\(728\) −3.15192 + 2.70327i −0.116818 + 0.100190i
\(729\) 13.1140 40.3607i 0.485703 1.49484i
\(730\) −0.0835990 0.784917i −0.00309414 0.0290511i
\(731\) −20.2636 + 2.12979i −0.749476 + 0.0787731i
\(732\) −74.0348 + 15.9514i −2.73640 + 0.589579i
\(733\) 13.7283 + 42.2514i 0.507066 + 1.56059i 0.797269 + 0.603624i \(0.206277\pi\)
−0.290203 + 0.956965i \(0.593723\pi\)
\(734\) −0.773094 1.33476i −0.0285354 0.0492669i
\(735\) −2.19614 + 20.8948i −0.0810057 + 0.770718i
\(736\) 4.83415 0.0335250i 0.178189 0.00123575i
\(737\) −13.6162 3.05915i −0.501560 0.112685i
\(738\) −14.9395 + 70.7672i −0.549929 + 2.60498i
\(739\) −18.8794 42.4038i −0.694489 1.55985i −0.822938 0.568131i \(-0.807667\pi\)
0.128449 0.991716i \(-0.459000\pi\)
\(740\) 0.282235 + 0.860500i 0.0103752 + 0.0316326i
\(741\) −11.9864 65.4383i −0.440333 2.40394i
\(742\) 3.22457 + 2.33596i 0.118378 + 0.0857557i
\(743\) −17.9119 + 1.88261i −0.657123 + 0.0690664i −0.427221 0.904147i \(-0.640507\pi\)
−0.229902 + 0.973214i \(0.573841\pi\)
\(744\) −55.5841 61.2182i −2.03781 2.24437i
\(745\) 3.29107 + 15.4833i 0.120575 + 0.567263i
\(746\) 7.18671 22.2233i 0.263124 0.813651i
\(747\) 9.98547 5.76511i 0.365349 0.210935i
\(748\) −3.52455 + 15.8937i −0.128870 + 0.581131i
\(749\) 3.82704i 0.139837i
\(750\) −7.90105 36.9196i −0.288506 1.34811i
\(751\) −30.9168 + 27.8377i −1.12817 + 1.01581i −0.128462 + 0.991714i \(0.541004\pi\)
−0.999710 + 0.0240960i \(0.992329\pi\)
\(752\) 6.68455 11.7278i 0.243761 0.427668i
\(753\) 9.86897 7.17022i 0.359645 0.261297i
\(754\) −2.51036 + 10.4238i −0.0914220 + 0.379614i
\(755\) 2.27647 + 7.00627i 0.0828494 + 0.254984i
\(756\) 2.52626 + 0.529652i 0.0918790 + 0.0192633i
\(757\) −30.4764 + 13.5690i −1.10768 + 0.493173i −0.877308 0.479928i \(-0.840663\pi\)
−0.230377 + 0.973101i \(0.573996\pi\)
\(758\) −1.93724 1.73944i −0.0703636 0.0631792i
\(759\) −3.72178 6.62195i −0.135092 0.240362i
\(760\) 22.2240 + 2.24238i 0.806149 + 0.0813397i
\(761\) −2.79909 + 26.6316i −0.101467 + 0.965394i 0.818793 + 0.574088i \(0.194643\pi\)
−0.920261 + 0.391306i \(0.872023\pi\)
\(762\) −70.3847 + 0.0976227i −2.54977 + 0.00353650i
\(763\) −3.98931 3.59199i −0.144423 0.130039i
\(764\) 15.3625 13.9098i 0.555797 0.503240i
\(765\) 1.23085 + 11.7107i 0.0445014 + 0.423403i
\(766\) 3.41875 + 4.69181i 0.123524 + 0.169522i
\(767\) −0.281442 + 0.0215564i −0.0101623 + 0.000778357i
\(768\) 40.6325 13.7026i 1.46620 0.494450i
\(769\) 12.0195 20.8185i 0.433436 0.750733i −0.563731 0.825959i \(-0.690634\pi\)
0.997167 + 0.0752256i \(0.0239677\pi\)
\(770\) −1.30563 + 1.75913i −0.0470517 + 0.0633947i
\(771\) 57.9526 33.4590i 2.08711 1.20500i
\(772\) 11.7154 0.0324982i 0.421645 0.00116964i
\(773\) 8.30453 + 39.0698i 0.298693 + 1.40524i 0.829859 + 0.557973i \(0.188421\pi\)
−0.531165 + 0.847268i \(0.678246\pi\)
\(774\) 19.9116 44.8896i 0.715707 1.61352i
\(775\) −32.5128 + 23.6220i −1.16790 + 0.848526i
\(776\) 14.6998 + 25.2179i 0.527692 + 0.905270i
\(777\) −0.0895607 + 0.421350i −0.00321297 + 0.0151158i
\(778\) −8.57221 4.93332i −0.307328 0.176868i
\(779\) −49.4803 + 68.1039i −1.77282 + 2.44007i
\(780\) 19.4750 10.5911i 0.697315 0.379224i
\(781\) −0.555756 + 4.75788i −0.0198865 + 0.170250i
\(782\) −0.612673 + 2.90219i −0.0219091 + 0.103782i
\(783\) 6.08866 2.71085i 0.217591 0.0968778i
\(784\) −2.70660 + 27.2025i −0.0966643 + 0.971518i
\(785\) 12.6747 4.11826i 0.452380 0.146987i
\(786\) −2.88060 + 27.7776i −0.102748 + 0.990795i
\(787\) −7.03293 + 15.7962i −0.250697 + 0.563074i −0.994430 0.105403i \(-0.966387\pi\)
0.743733 + 0.668477i \(0.233054\pi\)
\(788\) 23.8363 + 17.2172i 0.849132 + 0.613339i
\(789\) 12.0726 + 56.7972i 0.429797 + 2.02203i
\(790\) 6.24210 + 6.91325i 0.222084 + 0.245962i
\(791\) −4.12316 2.38051i −0.146603 0.0846411i
\(792\) −28.9637 26.4697i −1.02918 0.940560i
\(793\) −47.1063 + 19.3965i −1.67279 + 0.688790i
\(794\) −3.27244 + 10.1193i −0.116135 + 0.359120i
\(795\) −14.2242 15.7976i −0.504481 0.560283i
\(796\) −2.23372 4.97979i −0.0791720 0.176504i
\(797\) 35.2281 + 15.6845i 1.24784 + 0.555575i 0.921022 0.389512i \(-0.127356\pi\)
0.326820 + 0.945087i \(0.394023\pi\)
\(798\) 8.60432 + 6.23319i 0.304590 + 0.220652i
\(799\) 6.15516 + 5.54213i 0.217754 + 0.196066i
\(800\) −4.47436 20.3551i −0.158193 0.719661i
\(801\) 23.9349 32.9435i 0.845697 1.16400i
\(802\) 21.2668 23.6852i 0.750958 0.836353i
\(803\) −1.31651 + 0.933437i −0.0464585 + 0.0329403i
\(804\) −22.4240 + 2.41976i −0.790832 + 0.0853384i
\(805\) −0.234611 + 0.322914i −0.00826894 + 0.0113812i
\(806\) −44.1031 33.8913i −1.55347 1.19377i
\(807\) −11.1369 + 3.61861i −0.392039 + 0.127381i
\(808\) 9.13332 15.9725i 0.321309 0.561910i
\(809\) −23.6295 + 2.48356i −0.830769 + 0.0873173i −0.510359 0.859962i \(-0.670487\pi\)
−0.320410 + 0.947279i \(0.603821\pi\)
\(810\) 6.01050 + 2.66606i 0.211187 + 0.0936759i
\(811\) 32.2811 + 10.4888i 1.13354 + 0.368310i 0.814921 0.579572i \(-0.196780\pi\)
0.318621 + 0.947882i \(0.396780\pi\)
\(812\) −0.860288 1.48056i −0.0301902 0.0519576i
\(813\) 23.7648 + 41.1619i 0.833469 + 1.44361i
\(814\) 1.25284 1.36327i 0.0439119 0.0477824i
\(815\) −15.7595 + 9.09878i −0.552033 + 0.318716i
\(816\) 2.89530 + 26.1505i 0.101356 + 0.915451i
\(817\) 42.4752 38.2449i 1.48602 1.33802i
\(818\) −27.5616 37.8249i −0.963669 1.32252i
\(819\) 6.13808 + 0.173607i 0.214482 + 0.00606633i
\(820\) −26.7024 8.59431i −0.932487 0.300126i
\(821\) 5.78139 + 1.22887i 0.201772 + 0.0428879i 0.307689 0.951487i \(-0.400444\pi\)
−0.105917 + 0.994375i \(0.533778\pi\)
\(822\) 26.0826 + 15.0106i 0.909734 + 0.523554i
\(823\) 39.2970 + 4.13028i 1.36981 + 0.143972i 0.760694 0.649111i \(-0.224859\pi\)
0.609113 + 0.793084i \(0.291526\pi\)
\(824\) −5.47834 3.94552i −0.190847 0.137449i
\(825\) −24.5881 + 21.6298i −0.856049 + 0.753054i
\(826\) 0.0301178 0.0335426i 0.00104793 0.00116710i
\(827\) −21.8733 + 30.1061i −0.760610 + 1.04689i 0.236553 + 0.971619i \(0.423982\pi\)
−0.997163 + 0.0752715i \(0.976018\pi\)
\(828\) −5.32592 4.76880i −0.185089 0.165727i
\(829\) −35.6926 7.58670i −1.23966 0.263497i −0.458988 0.888443i \(-0.651788\pi\)
−0.780668 + 0.624945i \(0.785121\pi\)
\(830\) 1.82455 + 4.08276i 0.0633311 + 0.141715i
\(831\) 32.3756 23.5222i 1.12310 0.815977i
\(832\) 25.2628 13.9209i 0.875829 0.482621i
\(833\) −15.9521 5.18315i −0.552707 0.179585i
\(834\) −37.2572 41.2630i −1.29011 1.42882i
\(835\) 8.27595 14.3344i 0.286401 0.496061i
\(836\) −18.2075 41.8812i −0.629718 1.44849i
\(837\) 34.5749i 1.19508i
\(838\) 40.7146 8.71319i 1.40646 0.300992i
\(839\) −19.5205 + 4.14921i −0.673922 + 0.143247i −0.532147 0.846652i \(-0.678614\pi\)
−0.141776 + 0.989899i \(0.545281\pi\)
\(840\) −1.08005 + 3.37172i −0.0372652 + 0.116335i
\(841\) 22.4536 + 9.99699i 0.774262 + 0.344724i
\(842\) 13.1010 5.85472i 0.451489 0.201767i
\(843\) −10.8924 + 51.2448i −0.375155 + 1.76496i
\(844\) 1.76912 + 5.39383i 0.0608956 + 0.185663i
\(845\) 11.6281 9.33577i 0.400017 0.321160i
\(846\) −18.9767 + 6.19503i −0.652434 + 0.212990i
\(847\) 4.44237 + 0.571032i 0.152642 + 0.0196209i
\(848\) −18.6214 20.4519i −0.639463 0.702320i
\(849\) −51.2557 5.38719i −1.75909 0.184888i
\(850\) 12.7874 0.0177360i 0.438604 0.000608338i
\(851\) 0.225726 0.250694i 0.00773778 0.00859368i
\(852\) 1.63058 + 7.56798i 0.0558627 + 0.259275i
\(853\) 37.5476 27.2800i 1.28561 0.934048i 0.285900 0.958259i \(-0.407707\pi\)
0.999707 + 0.0242114i \(0.00770748\pi\)
\(854\) 3.29890 7.43720i 0.112886 0.254496i
\(855\) −22.1025 24.5473i −0.755890 0.839500i
\(856\) −5.41897 + 26.0263i −0.185217 + 0.889561i
\(857\) 54.4073i 1.85852i 0.369431 + 0.929258i \(0.379553\pi\)
−0.369431 + 0.929258i \(0.620447\pi\)
\(858\) −38.3514 24.1540i −1.30930 0.824603i
\(859\) 4.75206i 0.162138i −0.996708 0.0810691i \(-0.974167\pi\)
0.996708 0.0810691i \(-0.0258334\pi\)
\(860\) 16.5206 + 9.47717i 0.563348 + 0.323169i
\(861\) −8.92823 9.91580i −0.304273 0.337930i
\(862\) 35.0671 + 15.5546i 1.19439 + 0.529792i
\(863\) 15.2536 11.0824i 0.519240 0.377250i −0.297078 0.954853i \(-0.596012\pi\)
0.816317 + 0.577604i \(0.196012\pi\)
\(864\) −16.4302 7.17907i −0.558965 0.244237i
\(865\) −8.06994 + 8.96257i −0.274386 + 0.304737i
\(866\) 0.00875099 + 6.30935i 0.000297371 + 0.214400i
\(867\) 29.2565 + 3.07499i 0.993604 + 0.104432i
\(868\) 8.83180 0.953037i 0.299771 0.0323482i
\(869\) 6.09365 18.0419i 0.206713 0.612030i
\(870\) 2.83705 + 8.69051i 0.0961849 + 0.294636i
\(871\) −14.5556 + 4.27840i −0.493198 + 0.144968i
\(872\) 22.0437 + 30.0766i 0.746494 + 1.01852i
\(873\) 8.97459 42.2221i 0.303744 1.42900i
\(874\) −3.39483 7.59653i −0.114832 0.256956i
\(875\) 3.70539 + 1.64975i 0.125265 + 0.0557716i
\(876\) −1.52719 + 2.11431i −0.0515991 + 0.0714359i
\(877\) 7.09294 1.50765i 0.239512 0.0509098i −0.0865918 0.996244i \(-0.527598\pi\)
0.326103 + 0.945334i \(0.394264\pi\)
\(878\) 0.932230 + 4.35608i 0.0314613 + 0.147011i
\(879\) 5.34963i 0.180439i
\(880\) 11.3700 10.1145i 0.383282 0.340958i
\(881\) 3.10991 5.38652i 0.104776 0.181477i −0.808871 0.587986i \(-0.799921\pi\)
0.913646 + 0.406510i \(0.133254\pi\)
\(882\) 30.0046 27.0917i 1.01031 0.912225i
\(883\) −34.0372 11.0593i −1.14544 0.372177i −0.326017 0.945364i \(-0.605707\pi\)
−0.819424 + 0.573187i \(0.805707\pi\)
\(884\) 5.03801 + 16.9658i 0.169447 + 0.570622i
\(885\) −0.194707 + 0.141463i −0.00654499 + 0.00475521i
\(886\) 11.0831 4.95295i 0.372344 0.166398i
\(887\) 47.9251 + 10.1868i 1.60917 + 0.342039i 0.922819 0.385233i \(-0.125879\pi\)
0.686349 + 0.727272i \(0.259212\pi\)
\(888\) 1.20569 2.73863i 0.0404602 0.0919024i
\(889\) 4.44447 6.11729i 0.149063 0.205167i
\(890\) 11.7512 + 10.5513i 0.393901 + 0.353682i
\(891\) −1.25054 13.3849i −0.0418946 0.448409i
\(892\) 32.0629 23.4313i 1.07355 0.784536i
\(893\) −23.1068 2.42862i −0.773240 0.0812708i
\(894\) 26.0884 45.3316i 0.872528 1.51612i
\(895\) 4.58778 + 0.975162i 0.153352 + 0.0325961i
\(896\) −1.38093 + 4.39480i −0.0461337 + 0.146820i
\(897\) −7.03197 4.32950i −0.234791 0.144558i
\(898\) 33.5256 24.4289i 1.11876 0.815203i
\(899\) 17.0455 15.3478i 0.568499 0.511879i
\(900\) −15.3358 + 26.7333i −0.511192 + 0.891110i
\(901\) 14.6972 8.48544i 0.489635 0.282691i
\(902\) 11.3526 + 56.2163i 0.378002 + 1.87180i
\(903\) 4.52973 + 7.84573i 0.150740 + 0.261089i
\(904\) 24.6694 + 22.0272i 0.820491 + 0.732614i
\(905\) −9.95793 3.23553i −0.331013 0.107553i
\(906\) 9.86968 22.2507i 0.327898 0.739229i
\(907\) 6.11156 0.642351i 0.202931 0.0213289i −0.00251747 0.999997i \(-0.500801\pi\)
0.205449 + 0.978668i \(0.434135\pi\)
\(908\) −31.3302 + 28.3676i −1.03973 + 0.941413i
\(909\) −25.8773 + 8.40805i −0.858296 + 0.278877i
\(910\) −0.312530 + 2.36096i −0.0103603 + 0.0782650i
\(911\) 33.1769 45.6641i 1.09920 1.51292i 0.262762 0.964861i \(-0.415367\pi\)
0.836439 0.548060i \(-0.184633\pi\)
\(912\) −49.6888 54.5730i −1.64536 1.80709i
\(913\) 5.45917 7.33408i 0.180672 0.242723i
\(914\) −3.10991 2.79238i −0.102867 0.0923636i
\(915\) −25.5312 + 35.1407i −0.844035 + 1.16171i
\(916\) −8.90465 7.97316i −0.294218 0.263441i
\(917\) −2.22953 2.00748i −0.0736256 0.0662928i
\(918\) 6.45408 8.90924i 0.213016 0.294049i
\(919\) 8.23680 + 3.66726i 0.271707 + 0.120972i 0.538068 0.842902i \(-0.319155\pi\)
−0.266361 + 0.963873i \(0.585821\pi\)
\(920\) 2.05274 1.86382i 0.0676767 0.0614482i
\(921\) −3.07805 3.41852i −0.101425 0.112644i
\(922\) 40.8447 + 13.2086i 1.34515 + 0.435003i
\(923\) 1.98275 + 4.81530i 0.0652629 + 0.158497i
\(924\) 7.09329 1.44270i 0.233352 0.0474614i
\(925\) −1.25948 0.727159i −0.0414113 0.0239088i
\(926\) 32.3037 29.1676i 1.06156 0.958506i
\(927\) 2.07574 + 9.76557i 0.0681761 + 0.320743i
\(928\) 3.75407 + 11.2869i 0.123233 + 0.370511i
\(929\) −12.7537 + 28.6454i −0.418436 + 0.939824i 0.574203 + 0.818713i \(0.305312\pi\)
−0.992639 + 0.121110i \(0.961355\pi\)
\(930\) −47.1717 4.89180i −1.54682 0.160409i
\(931\) 44.7484 14.5396i 1.46657 0.476518i
\(932\) −17.2533 15.4485i −0.565149 0.506031i
\(933\) −33.5643 + 14.9438i −1.09885 + 0.489237i
\(934\) −44.6575 9.42752i −1.46124 0.308478i
\(935\) 4.57476 + 8.13961i 0.149611 + 0.266194i
\(936\) −41.4970 9.87197i −1.35637 0.322675i
\(937\) −3.35956 + 4.62403i −0.109752 + 0.151061i −0.860359 0.509688i \(-0.829761\pi\)
0.750608 + 0.660748i \(0.229761\pi\)
\(938\) 1.20858 2.10003i 0.0394614 0.0685686i
\(939\) −9.33947 + 43.9387i −0.304782 + 1.43389i
\(940\) −1.63070 7.56854i −0.0531876 0.246859i
\(941\) −7.98559 + 5.80187i −0.260323 + 0.189136i −0.710289 0.703910i \(-0.751436\pi\)
0.449967 + 0.893045i \(0.351436\pi\)
\(942\) −40.2526 17.8548i −1.31150 0.581740i
\(943\) 2.17253 + 10.2209i 0.0707472 + 0.332839i
\(944\) −0.252315 + 0.185465i −0.00821216 + 0.00603638i
\(945\) 1.28207 0.740205i 0.0417058 0.0240789i
\(946\) 0.396155 38.9375i 0.0128801 1.26597i
\(947\) 0.445681 0.771942i 0.0144827 0.0250847i −0.858693 0.512490i \(-0.828723\pi\)
0.873176 + 0.487405i \(0.162057\pi\)
\(948\) −0.0853725 30.7762i −0.00277277 0.999564i
\(949\) −0.758621 + 1.58194i −0.0246259 + 0.0513519i
\(950\) −28.9909 + 21.1246i −0.940590 + 0.685374i
\(951\) −7.95018 75.6409i −0.257802 2.45282i
\(952\) −2.45368 1.40305i −0.0795241 0.0454731i
\(953\) 6.62687 + 5.96686i 0.214665 + 0.193285i 0.769447 0.638710i \(-0.220532\pi\)
−0.554782 + 0.831996i \(0.687198\pi\)
\(954\) 0.0567312 + 40.9025i 0.00183674 + 1.32427i
\(955\) 1.24244 11.8210i 0.0402043 0.382519i
\(956\) 7.98525 18.0699i 0.258262 0.584423i
\(957\) 12.6662 13.7443i 0.409440 0.444290i
\(958\) 24.5122 27.2996i 0.791954 0.882011i
\(959\) −2.95342 + 1.31495i −0.0953708 + 0.0424618i
\(960\) 12.1192 21.4005i 0.391147 0.690698i
\(961\) 27.1900 + 83.6821i 0.877096 + 2.69942i
\(962\) 0.471268 1.95686i 0.0151943 0.0630916i
\(963\) 31.8049 23.1076i 1.02490 0.744633i
\(964\) −47.7367 + 21.4126i −1.53750 + 0.689655i
\(965\) 4.99338 4.49606i 0.160742 0.144733i
\(966\) 1.28964 0.275993i 0.0414936 0.00887991i
\(967\) 57.2468i 1.84093i −0.390822 0.920466i \(-0.627809\pi\)
0.390822 0.920466i \(-0.372191\pi\)
\(968\) −29.4023 10.1736i −0.945027 0.326993i
\(969\) 39.2175 22.6422i 1.25985 0.727374i
\(970\) 15.9291 + 5.15127i 0.511453 + 0.165397i
\(971\) −7.08880 33.3502i −0.227490 1.07026i −0.932531 0.361091i \(-0.882404\pi\)
0.705040 0.709167i \(-0.250929\pi\)
\(972\) −16.6751 37.1751i −0.534855 1.19239i
\(973\) 5.93974 0.624292i 0.190419 0.0200139i
\(974\) −22.1149 + 30.5275i −0.708608 + 0.978165i
\(975\) −11.9541 + 33.5338i −0.382837 + 1.07394i
\(976\) −32.9655 + 45.9065i −1.05520 + 1.46943i
\(977\) −6.54878 14.7088i −0.209514 0.470576i 0.777969 0.628303i \(-0.216250\pi\)
−0.987483 + 0.157727i \(0.949583\pi\)
\(978\) 58.8315 + 12.4198i 1.88122 + 0.397140i
\(979\) 7.07793 31.5037i 0.226212 1.00686i
\(980\) 9.25089 + 12.6588i 0.295509 + 0.404369i
\(981\) 5.76412 54.8419i 0.184034 1.75097i
\(982\) −0.0765282 + 0.0443252i −0.00244211 + 0.00141448i
\(983\) 18.6330 + 57.3466i 0.594302 + 1.82907i 0.558172 + 0.829725i \(0.311503\pi\)
0.0361294 + 0.999347i \(0.488497\pi\)
\(984\) 46.6771 + 80.0758i 1.48801 + 2.55272i
\(985\) 16.7720 1.76281i 0.534401 0.0561678i
\(986\) −7.25725 + 0.772946i −0.231118 + 0.0246156i
\(987\) 1.13802 3.50245i 0.0362235 0.111484i
\(988\) −39.4074 30.1959i −1.25372 0.960660i
\(989\) 7.09471i 0.225599i
\(990\) −22.5028 0.228946i −0.715185 0.00727639i
\(991\) −2.11124 1.21892i −0.0670657 0.0387204i 0.466092 0.884736i \(-0.345662\pi\)
−0.533158 + 0.846016i \(0.678995\pi\)
\(992\) −61.4113 6.02430i −1.94981 0.191272i
\(993\) −49.0183 15.9270i −1.55555 0.505428i
\(994\) −0.760245 0.337220i −0.0241135 0.0106960i
\(995\) −2.85965 1.27320i −0.0906569 0.0403631i
\(996\) 4.52704 14.0654i 0.143445 0.445680i
\(997\) −10.4653 9.42296i −0.331438 0.298428i 0.486562 0.873646i \(-0.338251\pi\)
−0.818000 + 0.575218i \(0.804917\pi\)
\(998\) 13.7216 + 7.89680i 0.434349 + 0.249969i
\(999\) −1.14302 + 0.508905i −0.0361635 + 0.0161010i
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 572.2.bn.a.95.20 yes 640
4.3 odd 2 inner 572.2.bn.a.95.4 640
11.8 odd 10 inner 572.2.bn.a.459.30 yes 640
13.10 even 6 inner 572.2.bn.a.491.44 yes 640
44.19 even 10 inner 572.2.bn.a.459.44 yes 640
52.23 odd 6 inner 572.2.bn.a.491.30 yes 640
143.140 odd 30 inner 572.2.bn.a.283.4 yes 640
572.283 even 30 inner 572.2.bn.a.283.20 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
572.2.bn.a.95.4 640 4.3 odd 2 inner
572.2.bn.a.95.20 yes 640 1.1 even 1 trivial
572.2.bn.a.283.4 yes 640 143.140 odd 30 inner
572.2.bn.a.283.20 yes 640 572.283 even 30 inner
572.2.bn.a.459.30 yes 640 11.8 odd 10 inner
572.2.bn.a.459.44 yes 640 44.19 even 10 inner
572.2.bn.a.491.30 yes 640 52.23 odd 6 inner
572.2.bn.a.491.44 yes 640 13.10 even 6 inner