Properties

Label 504.2.cy.a.347.14
Level $504$
Weight $2$
Character 504.347
Analytic conductor $4.024$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [504,2,Mod(347,504)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(504, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("504.347");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 504.cy (of order \(6\), degree \(2\), 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: \(4.02446026187\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(92\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 347.14
Character \(\chi\) \(=\) 504.347
Dual form 504.2.cy.a.443.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.28812 - 0.583745i) q^{2} +(0.0908862 + 1.72966i) q^{3} +(1.31848 + 1.50386i) q^{4} -0.177604 q^{5} +(0.892611 - 2.28106i) q^{6} +(1.51672 + 2.16785i) q^{7} +(-0.820487 - 2.70681i) q^{8} +(-2.98348 + 0.314405i) q^{9} +O(q^{10})\) \(q+(-1.28812 - 0.583745i) q^{2} +(0.0908862 + 1.72966i) q^{3} +(1.31848 + 1.50386i) q^{4} -0.177604 q^{5} +(0.892611 - 2.28106i) q^{6} +(1.51672 + 2.16785i) q^{7} +(-0.820487 - 2.70681i) q^{8} +(-2.98348 + 0.314405i) q^{9} +(0.228775 + 0.103676i) q^{10} -1.06437i q^{11} +(-2.48135 + 2.41721i) q^{12} +(5.97129 + 3.44753i) q^{13} +(-0.688244 - 3.67781i) q^{14} +(-0.0161418 - 0.307196i) q^{15} +(-0.523202 + 3.96563i) q^{16} +(4.15244 + 2.39741i) q^{17} +(4.02660 + 1.33660i) q^{18} +(-1.99683 - 3.45861i) q^{19} +(-0.234168 - 0.267092i) q^{20} +(-3.61180 + 2.82045i) q^{21} +(-0.621320 + 1.37103i) q^{22} -5.31404 q^{23} +(4.60730 - 1.66518i) q^{24} -4.96846 q^{25} +(-5.67924 - 7.92652i) q^{26} +(-0.814972 - 5.13184i) q^{27} +(-1.26037 + 5.13921i) q^{28} +(4.25714 + 7.37358i) q^{29} +(-0.158531 + 0.405126i) q^{30} +(-2.33155 + 1.34612i) q^{31} +(2.98886 - 4.80278i) q^{32} +(1.84100 - 0.0967364i) q^{33} +(-3.94935 - 5.51211i) q^{34} +(-0.269376 - 0.385018i) q^{35} +(-4.40649 - 4.07220i) q^{36} +(-2.23738 + 1.29175i) q^{37} +(0.553200 + 5.62072i) q^{38} +(-5.42036 + 10.6417i) q^{39} +(0.145722 + 0.480740i) q^{40} +(-5.82291 - 3.36186i) q^{41} +(6.29883 - 1.52469i) q^{42} +(3.04644 + 5.27660i) q^{43} +(1.60066 - 1.40335i) q^{44} +(0.529878 - 0.0558396i) q^{45} +(6.84509 + 3.10204i) q^{46} +(-5.03635 + 8.72321i) q^{47} +(-6.90677 - 0.544543i) q^{48} +(-2.39911 + 6.57604i) q^{49} +(6.39995 + 2.90031i) q^{50} +(-3.76932 + 7.40022i) q^{51} +(2.68844 + 13.5255i) q^{52} +(5.71335 - 9.89582i) q^{53} +(-1.94591 + 7.08614i) q^{54} +0.189036i q^{55} +(4.62349 - 5.88416i) q^{56} +(5.80075 - 3.76818i) q^{57} +(-1.17940 - 11.9831i) q^{58} +(0.824821 - 0.476210i) q^{59} +(0.440697 - 0.429307i) q^{60} +(8.88659 + 5.13067i) q^{61} +(3.78909 - 0.372928i) q^{62} +(-5.20669 - 5.99086i) q^{63} +(-6.65360 + 4.44180i) q^{64} +(-1.06053 - 0.612295i) q^{65} +(-2.42789 - 0.950067i) q^{66} +(-0.876399 - 1.51797i) q^{67} +(1.86955 + 9.40565i) q^{68} +(-0.482972 - 9.19150i) q^{69} +(0.122235 + 0.653195i) q^{70} -1.88717 q^{71} +(3.29894 + 7.81774i) q^{72} +(3.09095 - 5.35368i) q^{73} +(3.63606 - 0.357866i) q^{74} +(-0.451564 - 8.59376i) q^{75} +(2.56848 - 7.56307i) q^{76} +(2.30739 - 1.61435i) q^{77} +(13.1941 - 10.5436i) q^{78} +(9.28765 + 5.36223i) q^{79} +(0.0929229 - 0.704313i) q^{80} +(8.80230 - 1.87604i) q^{81} +(5.53812 + 7.72956i) q^{82} +(-1.04809 + 0.605117i) q^{83} +(-9.00366 - 1.71293i) q^{84} +(-0.737491 - 0.425791i) q^{85} +(-0.843986 - 8.57521i) q^{86} +(-12.3669 + 8.03358i) q^{87} +(-2.88104 + 0.873301i) q^{88} +(-6.77199 + 3.90981i) q^{89} +(-0.715140 - 0.237386i) q^{90} +(1.58308 + 18.1738i) q^{91} +(-7.00647 - 7.99158i) q^{92} +(-2.54024 - 3.91045i) q^{93} +(11.5795 - 8.29656i) q^{94} +(0.354645 + 0.614263i) q^{95} +(8.57884 + 4.73323i) q^{96} +(-5.90504 - 10.2278i) q^{97} +(6.92906 - 7.07023i) q^{98} +(0.334643 + 3.17552i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 5 q^{12} - 3 q^{14} + q^{16} + 5 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} + 148 q^{25} + 6 q^{26} - 8 q^{27} + 24 q^{30} - 33 q^{32} + 22 q^{33} - 4 q^{34} - 30 q^{35} - 38 q^{36} - 12 q^{40} - 12 q^{41} + 7 q^{42} - 4 q^{43} - 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} + 26 q^{51} - 18 q^{52} - 40 q^{54} + 18 q^{56} + 4 q^{57} + 6 q^{58} - 6 q^{59} - 2 q^{60} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 2 q^{67} - 18 q^{70} - 11 q^{72} - 4 q^{73} - 36 q^{75} + 2 q^{76} - 29 q^{78} - 87 q^{80} - 10 q^{81} - 4 q^{82} - 72 q^{83} - 65 q^{84} + 14 q^{88} + 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} + 9 q^{94} - 88 q^{96} - 4 q^{97} - 57 q^{98} + 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(127\) \(253\) \(281\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28812 0.583745i −0.910835 0.412770i
\(3\) 0.0908862 + 1.72966i 0.0524731 + 0.998622i
\(4\) 1.31848 + 1.50386i 0.659242 + 0.751931i
\(5\) −0.177604 −0.0794270 −0.0397135 0.999211i \(-0.512645\pi\)
−0.0397135 + 0.999211i \(0.512645\pi\)
\(6\) 0.892611 2.28106i 0.364407 0.931240i
\(7\) 1.51672 + 2.16785i 0.573267 + 0.819369i
\(8\) −0.820487 2.70681i −0.290086 0.957001i
\(9\) −2.98348 + 0.314405i −0.994493 + 0.104802i
\(10\) 0.228775 + 0.103676i 0.0723449 + 0.0327851i
\(11\) 1.06437i 0.320919i −0.987042 0.160460i \(-0.948702\pi\)
0.987042 0.160460i \(-0.0512976\pi\)
\(12\) −2.48135 + 2.41721i −0.716303 + 0.697790i
\(13\) 5.97129 + 3.44753i 1.65614 + 0.956172i 0.974472 + 0.224508i \(0.0720775\pi\)
0.681666 + 0.731664i \(0.261256\pi\)
\(14\) −0.688244 3.67781i −0.183941 0.982937i
\(15\) −0.0161418 0.307196i −0.00416778 0.0793175i
\(16\) −0.523202 + 3.96563i −0.130801 + 0.991409i
\(17\) 4.15244 + 2.39741i 1.00712 + 0.581458i 0.910346 0.413849i \(-0.135816\pi\)
0.0967695 + 0.995307i \(0.469149\pi\)
\(18\) 4.02660 + 1.33660i 0.949078 + 0.315040i
\(19\) −1.99683 3.45861i −0.458104 0.793459i 0.540757 0.841179i \(-0.318138\pi\)
−0.998861 + 0.0477199i \(0.984805\pi\)
\(20\) −0.234168 0.267092i −0.0523616 0.0597236i
\(21\) −3.61180 + 2.82045i −0.788159 + 0.615472i
\(22\) −0.621320 + 1.37103i −0.132466 + 0.292305i
\(23\) −5.31404 −1.10805 −0.554026 0.832499i \(-0.686909\pi\)
−0.554026 + 0.832499i \(0.686909\pi\)
\(24\) 4.60730 1.66518i 0.940460 0.339903i
\(25\) −4.96846 −0.993691
\(26\) −5.67924 7.92652i −1.11379 1.55452i
\(27\) −0.814972 5.13184i −0.156842 0.987624i
\(28\) −1.26037 + 5.13921i −0.238187 + 0.971219i
\(29\) 4.25714 + 7.37358i 0.790531 + 1.36924i 0.925639 + 0.378408i \(0.123528\pi\)
−0.135108 + 0.990831i \(0.543138\pi\)
\(30\) −0.158531 + 0.405126i −0.0289437 + 0.0739656i
\(31\) −2.33155 + 1.34612i −0.418758 + 0.241770i −0.694546 0.719448i \(-0.744395\pi\)
0.275788 + 0.961219i \(0.411061\pi\)
\(32\) 2.98886 4.80278i 0.528362 0.849019i
\(33\) 1.84100 0.0967364i 0.320477 0.0168396i
\(34\) −3.94935 5.51211i −0.677308 0.945320i
\(35\) −0.269376 0.385018i −0.0455329 0.0650800i
\(36\) −4.40649 4.07220i −0.734415 0.678701i
\(37\) −2.23738 + 1.29175i −0.367823 + 0.212363i −0.672507 0.740091i \(-0.734782\pi\)
0.304684 + 0.952453i \(0.401449\pi\)
\(38\) 0.553200 + 5.62072i 0.0897410 + 0.911802i
\(39\) −5.42036 + 10.6417i −0.867952 + 1.70403i
\(40\) 0.145722 + 0.480740i 0.0230407 + 0.0760117i
\(41\) −5.82291 3.36186i −0.909386 0.525034i −0.0291525 0.999575i \(-0.509281\pi\)
−0.880234 + 0.474541i \(0.842614\pi\)
\(42\) 6.29883 1.52469i 0.971931 0.235265i
\(43\) 3.04644 + 5.27660i 0.464578 + 0.804673i 0.999182 0.0404294i \(-0.0128726\pi\)
−0.534604 + 0.845103i \(0.679539\pi\)
\(44\) 1.60066 1.40335i 0.241309 0.211563i
\(45\) 0.529878 0.0558396i 0.0789896 0.00832408i
\(46\) 6.84509 + 3.10204i 1.00925 + 0.457371i
\(47\) −5.03635 + 8.72321i −0.734627 + 1.27241i 0.220260 + 0.975441i \(0.429310\pi\)
−0.954887 + 0.296970i \(0.904024\pi\)
\(48\) −6.90677 0.544543i −0.996906 0.0785981i
\(49\) −2.39911 + 6.57604i −0.342730 + 0.939434i
\(50\) 6.39995 + 2.90031i 0.905089 + 0.410166i
\(51\) −3.76932 + 7.40022i −0.527811 + 1.03624i
\(52\) 2.68844 + 13.5255i 0.372820 + 1.87565i
\(53\) 5.71335 9.89582i 0.784789 1.35929i −0.144336 0.989529i \(-0.546105\pi\)
0.929125 0.369766i \(-0.120562\pi\)
\(54\) −1.94591 + 7.08614i −0.264805 + 0.964302i
\(55\) 0.189036i 0.0254896i
\(56\) 4.62349 5.88416i 0.617840 0.786304i
\(57\) 5.80075 3.76818i 0.768328 0.499108i
\(58\) −1.17940 11.9831i −0.154862 1.57346i
\(59\) 0.824821 0.476210i 0.107383 0.0619973i −0.445347 0.895358i \(-0.646920\pi\)
0.552729 + 0.833361i \(0.313586\pi\)
\(60\) 0.440697 0.429307i 0.0568937 0.0554233i
\(61\) 8.88659 + 5.13067i 1.13781 + 0.656915i 0.945888 0.324495i \(-0.105194\pi\)
0.191923 + 0.981410i \(0.438528\pi\)
\(62\) 3.78909 0.372928i 0.481215 0.0473619i
\(63\) −5.20669 5.99086i −0.655981 0.754777i
\(64\) −6.65360 + 4.44180i −0.831700 + 0.555225i
\(65\) −1.06053 0.612295i −0.131542 0.0759458i
\(66\) −2.42789 0.950067i −0.298853 0.116945i
\(67\) −0.876399 1.51797i −0.107069 0.185449i 0.807513 0.589850i \(-0.200813\pi\)
−0.914582 + 0.404401i \(0.867480\pi\)
\(68\) 1.86955 + 9.40565i 0.226716 + 1.14060i
\(69\) −0.482972 9.19150i −0.0581430 1.10653i
\(70\) 0.122235 + 0.653195i 0.0146099 + 0.0780717i
\(71\) −1.88717 −0.223966 −0.111983 0.993710i \(-0.535720\pi\)
−0.111983 + 0.993710i \(0.535720\pi\)
\(72\) 3.29894 + 7.81774i 0.388784 + 0.921329i
\(73\) 3.09095 5.35368i 0.361768 0.626601i −0.626484 0.779434i \(-0.715507\pi\)
0.988252 + 0.152834i \(0.0488399\pi\)
\(74\) 3.63606 0.357866i 0.422683 0.0416011i
\(75\) −0.451564 8.59376i −0.0521421 0.992322i
\(76\) 2.56848 7.56307i 0.294625 0.867544i
\(77\) 2.30739 1.61435i 0.262951 0.183972i
\(78\) 13.1941 10.5436i 1.49393 1.19383i
\(79\) 9.28765 + 5.36223i 1.04494 + 0.603298i 0.921229 0.389021i \(-0.127186\pi\)
0.123713 + 0.992318i \(0.460520\pi\)
\(80\) 0.0929229 0.704313i 0.0103891 0.0787446i
\(81\) 8.80230 1.87604i 0.978033 0.208449i
\(82\) 5.53812 + 7.72956i 0.611583 + 0.853587i
\(83\) −1.04809 + 0.605117i −0.115043 + 0.0664202i −0.556417 0.830903i \(-0.687824\pi\)
0.441374 + 0.897323i \(0.354491\pi\)
\(84\) −9.00366 1.71293i −0.982380 0.186896i
\(85\) −0.737491 0.425791i −0.0799921 0.0461835i
\(86\) −0.843986 8.57521i −0.0910093 0.924689i
\(87\) −12.3669 + 8.03358i −1.32587 + 0.861290i
\(88\) −2.88104 + 0.873301i −0.307120 + 0.0930942i
\(89\) −6.77199 + 3.90981i −0.717829 + 0.414439i −0.813953 0.580930i \(-0.802689\pi\)
0.0961239 + 0.995369i \(0.469355\pi\)
\(90\) −0.715140 0.237386i −0.0753824 0.0250227i
\(91\) 1.58308 + 18.1738i 0.165952 + 1.90513i
\(92\) −7.00647 7.99158i −0.730475 0.833179i
\(93\) −2.54024 3.91045i −0.263411 0.405495i
\(94\) 11.5795 8.29656i 1.19434 0.855725i
\(95\) 0.354645 + 0.614263i 0.0363858 + 0.0630220i
\(96\) 8.57884 + 4.73323i 0.875575 + 0.483083i
\(97\) −5.90504 10.2278i −0.599566 1.03848i −0.992885 0.119077i \(-0.962006\pi\)
0.393319 0.919402i \(-0.371327\pi\)
\(98\) 6.92906 7.07023i 0.699941 0.714201i
\(99\) 0.334643 + 3.17552i 0.0336329 + 0.319152i
\(100\) −6.55083 7.47187i −0.655083 0.747187i
\(101\) 1.37765 0.137082 0.0685408 0.997648i \(-0.478166\pi\)
0.0685408 + 0.997648i \(0.478166\pi\)
\(102\) 9.17517 7.33202i 0.908477 0.725978i
\(103\) 13.5979i 1.33984i −0.742434 0.669919i \(-0.766329\pi\)
0.742434 0.669919i \(-0.233671\pi\)
\(104\) 4.43242 18.9918i 0.434634 1.86230i
\(105\) 0.641470 0.500923i 0.0626011 0.0488851i
\(106\) −13.1361 + 9.41181i −1.27589 + 0.914156i
\(107\) −1.21718 + 0.702739i −0.117669 + 0.0679363i −0.557679 0.830056i \(-0.688308\pi\)
0.440010 + 0.897993i \(0.354975\pi\)
\(108\) 6.64306 7.99186i 0.639229 0.769017i
\(109\) −5.40909 3.12294i −0.518097 0.299123i 0.218059 0.975936i \(-0.430027\pi\)
−0.736156 + 0.676812i \(0.763361\pi\)
\(110\) 0.110349 0.243501i 0.0105214 0.0232169i
\(111\) −2.43764 3.75251i −0.231371 0.356173i
\(112\) −9.39044 + 4.88054i −0.887313 + 0.461168i
\(113\) 12.8296 + 7.40717i 1.20691 + 0.696808i 0.962082 0.272760i \(-0.0879365\pi\)
0.244824 + 0.969568i \(0.421270\pi\)
\(114\) −9.67169 + 1.46770i −0.905837 + 0.137462i
\(115\) 0.943794 0.0880093
\(116\) −5.47588 + 16.1241i −0.508423 + 1.49708i
\(117\) −18.8991 8.40822i −1.74723 0.777340i
\(118\) −1.34045 + 0.131929i −0.123398 + 0.0121451i
\(119\) 1.10088 + 12.6381i 0.100917 + 1.15853i
\(120\) −0.818275 + 0.295743i −0.0746979 + 0.0269975i
\(121\) 9.86712 0.897011
\(122\) −8.45195 11.7964i −0.765203 1.06800i
\(123\) 5.28567 10.3772i 0.476593 0.935684i
\(124\) −5.09848 1.73149i −0.457857 0.155492i
\(125\) 1.77044 0.158353
\(126\) 3.20968 + 10.7563i 0.285941 + 0.958247i
\(127\) 8.19860i 0.727508i −0.931495 0.363754i \(-0.881495\pi\)
0.931495 0.363754i \(-0.118505\pi\)
\(128\) 11.1635 1.83755i 0.986722 0.162418i
\(129\) −8.84986 + 5.74890i −0.779187 + 0.506162i
\(130\) 1.00866 + 1.40778i 0.0884650 + 0.123471i
\(131\) 12.3743i 1.08115i −0.841297 0.540573i \(-0.818207\pi\)
0.841297 0.540573i \(-0.181793\pi\)
\(132\) 2.57281 + 2.64107i 0.223934 + 0.229875i
\(133\) 4.46910 9.57456i 0.387520 0.830220i
\(134\) 0.242797 + 2.46691i 0.0209745 + 0.213109i
\(135\) 0.144742 + 0.911436i 0.0124574 + 0.0784440i
\(136\) 3.08231 13.2069i 0.264306 1.13248i
\(137\) 6.79477i 0.580516i 0.956948 + 0.290258i \(0.0937411\pi\)
−0.956948 + 0.290258i \(0.906259\pi\)
\(138\) −4.74337 + 12.1216i −0.403782 + 1.03186i
\(139\) 7.74862 13.4210i 0.657229 1.13835i −0.324101 0.946023i \(-0.605062\pi\)
0.981330 0.192332i \(-0.0616050\pi\)
\(140\) 0.223847 0.912745i 0.0189185 0.0771410i
\(141\) −15.5460 7.91838i −1.30921 0.666848i
\(142\) 2.43089 + 1.10162i 0.203996 + 0.0924463i
\(143\) 3.66944 6.35565i 0.306854 0.531487i
\(144\) 0.314148 11.9959i 0.0261790 0.999657i
\(145\) −0.756085 1.30958i −0.0627894 0.108755i
\(146\) −7.10668 + 5.09183i −0.588153 + 0.421403i
\(147\) −11.5924 3.55199i −0.956124 0.292963i
\(148\) −4.89256 1.66156i −0.402166 0.136579i
\(149\) 12.3753 1.01382 0.506912 0.861998i \(-0.330787\pi\)
0.506912 + 0.861998i \(0.330787\pi\)
\(150\) −4.43490 + 11.3334i −0.362108 + 0.925365i
\(151\) 8.99145i 0.731714i −0.930671 0.365857i \(-0.880776\pi\)
0.930671 0.365857i \(-0.119224\pi\)
\(152\) −7.72341 + 8.24277i −0.626451 + 0.668577i
\(153\) −13.1425 5.84709i −1.06251 0.472709i
\(154\) −3.91455 + 0.732545i −0.315443 + 0.0590302i
\(155\) 0.414092 0.239076i 0.0332607 0.0192031i
\(156\) −23.1502 + 5.87939i −1.85350 + 0.470728i
\(157\) 10.1235 5.84481i 0.807944 0.466467i −0.0382972 0.999266i \(-0.512193\pi\)
0.846241 + 0.532800i \(0.178860\pi\)
\(158\) −8.83339 12.3288i −0.702747 0.980825i
\(159\) 17.6357 + 8.98279i 1.39860 + 0.712382i
\(160\) −0.530835 + 0.852993i −0.0419662 + 0.0674350i
\(161\) −8.05991 11.5200i −0.635210 0.907904i
\(162\) −12.4335 2.72174i −0.976869 0.213840i
\(163\) −7.96357 13.7933i −0.623755 1.08038i −0.988780 0.149378i \(-0.952273\pi\)
0.365025 0.930998i \(-0.381060\pi\)
\(164\) −2.62164 13.1894i −0.204716 1.02992i
\(165\) −0.326969 + 0.0171808i −0.0254545 + 0.00133752i
\(166\) 1.70330 0.167641i 0.132202 0.0130115i
\(167\) −5.85315 + 10.1380i −0.452930 + 0.784498i −0.998567 0.0535237i \(-0.982955\pi\)
0.545636 + 0.838022i \(0.316288\pi\)
\(168\) 10.5978 + 7.46230i 0.817641 + 0.575729i
\(169\) 17.2709 + 29.9140i 1.32853 + 2.30108i
\(170\) 0.701420 + 0.978974i 0.0537965 + 0.0750839i
\(171\) 7.04490 + 9.69087i 0.538737 + 0.741079i
\(172\) −3.91859 + 11.5385i −0.298789 + 0.879805i
\(173\) 10.2986 17.8377i 0.782989 1.35618i −0.147204 0.989106i \(-0.547027\pi\)
0.930193 0.367071i \(-0.119639\pi\)
\(174\) 20.6196 3.12906i 1.56316 0.237213i
\(175\) −7.53577 10.7708i −0.569650 0.814200i
\(176\) 4.22090 + 0.556880i 0.318162 + 0.0419764i
\(177\) 0.898649 + 1.38338i 0.0675466 + 0.103981i
\(178\) 11.0054 1.08317i 0.824892 0.0811872i
\(179\) 6.69224 + 3.86377i 0.500202 + 0.288792i 0.728797 0.684730i \(-0.240080\pi\)
−0.228595 + 0.973522i \(0.573413\pi\)
\(180\) 0.782611 + 0.723240i 0.0583324 + 0.0539071i
\(181\) 7.19456i 0.534767i −0.963590 0.267384i \(-0.913841\pi\)
0.963590 0.267384i \(-0.0861591\pi\)
\(182\) 8.56966 24.3340i 0.635225 1.80376i
\(183\) −8.06668 + 15.8371i −0.596306 + 1.17071i
\(184\) 4.36010 + 14.3841i 0.321431 + 1.06041i
\(185\) 0.397368 0.229420i 0.0292151 0.0168673i
\(186\) 0.989417 + 6.51996i 0.0725476 + 0.478067i
\(187\) 2.55173 4.41973i 0.186601 0.323203i
\(188\) −19.7589 + 3.92744i −1.44106 + 0.286438i
\(189\) 9.88896 9.55031i 0.719316 0.694683i
\(190\) −0.0982507 0.998264i −0.00712785 0.0724217i
\(191\) −3.02233 + 5.23482i −0.218688 + 0.378778i −0.954407 0.298508i \(-0.903511\pi\)
0.735719 + 0.677287i \(0.236844\pi\)
\(192\) −8.28754 11.1048i −0.598102 0.801420i
\(193\) −0.957760 1.65889i −0.0689411 0.119409i 0.829494 0.558515i \(-0.188629\pi\)
−0.898435 + 0.439106i \(0.855295\pi\)
\(194\) 1.63593 + 16.6217i 0.117453 + 1.19337i
\(195\) 0.962678 1.89000i 0.0689388 0.135346i
\(196\) −13.0526 + 5.06247i −0.932332 + 0.361605i
\(197\) 6.01900 0.428836 0.214418 0.976742i \(-0.431215\pi\)
0.214418 + 0.976742i \(0.431215\pi\)
\(198\) 1.42264 4.28579i 0.101102 0.304577i
\(199\) 11.9097 + 6.87608i 0.844257 + 0.487432i 0.858709 0.512463i \(-0.171267\pi\)
−0.0144517 + 0.999896i \(0.504600\pi\)
\(200\) 4.07656 + 13.4487i 0.288256 + 0.950963i
\(201\) 2.54592 1.65384i 0.179576 0.116653i
\(202\) −1.77458 0.804198i −0.124859 0.0565831i
\(203\) −9.52789 + 20.4125i −0.668727 + 1.43268i
\(204\) −16.0987 + 4.08853i −1.12713 + 0.286255i
\(205\) 1.03417 + 0.597080i 0.0722298 + 0.0417019i
\(206\) −7.93769 + 17.5156i −0.553045 + 1.22037i
\(207\) 15.8543 1.67076i 1.10195 0.116126i
\(208\) −16.7958 + 21.8762i −1.16458 + 1.51684i
\(209\) −3.68123 + 2.12536i −0.254636 + 0.147014i
\(210\) −1.11870 + 0.270792i −0.0771975 + 0.0186864i
\(211\) −8.08335 + 14.0008i −0.556481 + 0.963853i 0.441306 + 0.897357i \(0.354515\pi\)
−0.997787 + 0.0664965i \(0.978818\pi\)
\(212\) 22.4149 4.45538i 1.53946 0.305997i
\(213\) −0.171517 3.26417i −0.0117522 0.223657i
\(214\) 1.97809 0.194686i 0.135219 0.0133085i
\(215\) −0.541061 0.937145i −0.0369000 0.0639128i
\(216\) −13.2222 + 6.41658i −0.899659 + 0.436593i
\(217\) −6.45449 3.01275i −0.438159 0.204518i
\(218\) 5.14453 + 7.18023i 0.348432 + 0.486307i
\(219\) 9.54099 + 4.85973i 0.644721 + 0.328390i
\(220\) −0.284284 + 0.249241i −0.0191665 + 0.0168038i
\(221\) 16.5303 + 28.6313i 1.11195 + 1.92595i
\(222\) 0.949456 + 6.25663i 0.0637233 + 0.419918i
\(223\) 16.6030 9.58573i 1.11182 0.641908i 0.172518 0.985006i \(-0.444810\pi\)
0.939300 + 0.343098i \(0.111476\pi\)
\(224\) 14.9450 0.805082i 0.998552 0.0537918i
\(225\) 14.8233 1.56211i 0.988219 0.104141i
\(226\) −12.2021 17.0305i −0.811671 1.13285i
\(227\) 10.6633i 0.707746i 0.935294 + 0.353873i \(0.115135\pi\)
−0.935294 + 0.353873i \(0.884865\pi\)
\(228\) 13.3150 + 3.75524i 0.881808 + 0.248697i
\(229\) 12.8520i 0.849287i 0.905361 + 0.424643i \(0.139601\pi\)
−0.905361 + 0.424643i \(0.860399\pi\)
\(230\) −1.21572 0.550935i −0.0801620 0.0363276i
\(231\) 3.00200 + 3.84428i 0.197517 + 0.252935i
\(232\) 16.4659 17.5732i 1.08104 1.15374i
\(233\) 19.3586 11.1767i 1.26822 0.732208i 0.293571 0.955937i \(-0.405156\pi\)
0.974651 + 0.223729i \(0.0718231\pi\)
\(234\) 19.4360 + 21.8630i 1.27057 + 1.42923i
\(235\) 0.894476 1.54928i 0.0583492 0.101064i
\(236\) 1.80367 + 0.612541i 0.117409 + 0.0398730i
\(237\) −8.43073 + 16.5519i −0.547635 + 1.07516i
\(238\) 5.95935 16.9219i 0.386287 1.09689i
\(239\) −6.58209 + 11.4005i −0.425760 + 0.737438i −0.996491 0.0836994i \(-0.973326\pi\)
0.570731 + 0.821137i \(0.306660\pi\)
\(240\) 1.22667 + 0.0967131i 0.0791813 + 0.00624281i
\(241\) −12.5802 −0.810362 −0.405181 0.914236i \(-0.632792\pi\)
−0.405181 + 0.914236i \(0.632792\pi\)
\(242\) −12.7100 5.75988i −0.817029 0.370259i
\(243\) 4.04493 + 15.0545i 0.259482 + 0.965748i
\(244\) 4.00099 + 20.1289i 0.256137 + 1.28862i
\(245\) 0.426092 1.16793i 0.0272220 0.0746164i
\(246\) −12.8662 + 10.2816i −0.820320 + 0.655530i
\(247\) 27.5365i 1.75210i
\(248\) 5.55669 + 5.20657i 0.352850 + 0.330618i
\(249\) −1.14191 1.75785i −0.0723654 0.111399i
\(250\) −2.28053 1.03348i −0.144233 0.0653633i
\(251\) 6.73502i 0.425111i 0.977149 + 0.212555i \(0.0681786\pi\)
−0.977149 + 0.212555i \(0.931821\pi\)
\(252\) 2.14449 15.7290i 0.135090 0.990833i
\(253\) 5.65609i 0.355595i
\(254\) −4.78589 + 10.5607i −0.300293 + 0.662640i
\(255\) 0.669447 1.31431i 0.0419224 0.0823053i
\(256\) −15.4525 4.14966i −0.965782 0.259354i
\(257\) 7.81437i 0.487447i −0.969845 0.243724i \(-0.921631\pi\)
0.969845 0.243724i \(-0.0783690\pi\)
\(258\) 14.7555 2.23918i 0.918639 0.139405i
\(259\) −6.19380 2.89107i −0.384864 0.179642i
\(260\) −0.477479 2.40218i −0.0296120 0.148977i
\(261\) −15.0194 20.6605i −0.929676 1.27885i
\(262\) −7.22343 + 15.9395i −0.446265 + 0.984746i
\(263\) −19.3331 −1.19213 −0.596064 0.802937i \(-0.703270\pi\)
−0.596064 + 0.802937i \(0.703270\pi\)
\(264\) −1.77236 4.90386i −0.109081 0.301812i
\(265\) −1.01471 + 1.75754i −0.0623334 + 0.107965i
\(266\) −11.3458 + 9.72433i −0.695656 + 0.596237i
\(267\) −7.37814 11.3579i −0.451535 0.695093i
\(268\) 1.12730 3.31940i 0.0688606 0.202765i
\(269\) −3.49855 + 6.05967i −0.213311 + 0.369465i −0.952749 0.303760i \(-0.901758\pi\)
0.739438 + 0.673225i \(0.235091\pi\)
\(270\) 0.345602 1.25853i 0.0210326 0.0765916i
\(271\) 2.17292 1.25454i 0.131995 0.0762076i −0.432548 0.901611i \(-0.642385\pi\)
0.564544 + 0.825403i \(0.309052\pi\)
\(272\) −11.6798 + 15.2127i −0.708194 + 0.922408i
\(273\) −31.2907 + 4.38994i −1.89380 + 0.265691i
\(274\) 3.96641 8.75245i 0.239620 0.528755i
\(275\) 5.28827i 0.318895i
\(276\) 13.1860 12.8452i 0.793701 0.773188i
\(277\) 6.44559i 0.387278i 0.981073 + 0.193639i \(0.0620291\pi\)
−0.981073 + 0.193639i \(0.937971\pi\)
\(278\) −17.8156 + 12.7646i −1.06851 + 0.765569i
\(279\) 6.53289 4.74917i 0.391114 0.284325i
\(280\) −0.821150 + 1.04505i −0.0490731 + 0.0624538i
\(281\) 10.3178 5.95701i 0.615511 0.355365i −0.159608 0.987180i \(-0.551023\pi\)
0.775119 + 0.631815i \(0.217690\pi\)
\(282\) 15.4027 + 19.2747i 0.917217 + 1.14779i
\(283\) −1.20455 2.08634i −0.0716030 0.124020i 0.828001 0.560727i \(-0.189478\pi\)
−0.899604 + 0.436707i \(0.856145\pi\)
\(284\) −2.48820 2.83804i −0.147647 0.168407i
\(285\) −1.03024 + 0.669245i −0.0610259 + 0.0396426i
\(286\) −8.43674 + 6.04480i −0.498875 + 0.357437i
\(287\) −1.54374 17.7222i −0.0911243 1.04611i
\(288\) −7.40720 + 15.2687i −0.436473 + 0.899717i
\(289\) 2.99519 + 5.18781i 0.176187 + 0.305166i
\(290\) 0.209465 + 2.12825i 0.0123002 + 0.124975i
\(291\) 17.1540 11.1433i 1.00559 0.653233i
\(292\) 12.1266 2.41038i 0.709653 0.141057i
\(293\) 1.22450 2.12090i 0.0715361 0.123904i −0.828039 0.560671i \(-0.810543\pi\)
0.899575 + 0.436767i \(0.143877\pi\)
\(294\) 12.8589 + 11.3424i 0.749945 + 0.661500i
\(295\) −0.146492 + 0.0845769i −0.00852907 + 0.00492426i
\(296\) 5.33226 + 4.99629i 0.309931 + 0.290403i
\(297\) −5.46217 + 0.867431i −0.316947 + 0.0503335i
\(298\) −15.9408 7.22401i −0.923426 0.418476i
\(299\) −31.7316 18.3203i −1.83509 1.05949i
\(300\) 12.3285 12.0098i 0.711784 0.693388i
\(301\) −6.81824 + 14.6073i −0.392997 + 0.841954i
\(302\) −5.24871 + 11.5820i −0.302030 + 0.666471i
\(303\) 0.125210 + 2.38288i 0.00719310 + 0.136893i
\(304\) 14.7603 6.10914i 0.846562 0.350383i
\(305\) −1.57829 0.911229i −0.0903729 0.0521768i
\(306\) 13.5158 + 15.2036i 0.772649 + 0.869131i
\(307\) 23.9520 1.36701 0.683507 0.729944i \(-0.260454\pi\)
0.683507 + 0.729944i \(0.260454\pi\)
\(308\) 5.47001 + 1.34150i 0.311683 + 0.0764389i
\(309\) 23.5198 1.23586i 1.33799 0.0703055i
\(310\) −0.672958 + 0.0662336i −0.0382215 + 0.00376181i
\(311\) 3.67115 + 6.35861i 0.208172 + 0.360564i 0.951139 0.308764i \(-0.0999154\pi\)
−0.742967 + 0.669328i \(0.766582\pi\)
\(312\) 33.2523 + 5.94051i 1.88254 + 0.336315i
\(313\) 9.86512 17.0869i 0.557610 0.965808i −0.440086 0.897956i \(-0.645052\pi\)
0.997695 0.0678524i \(-0.0216147\pi\)
\(314\) −16.4521 + 1.61924i −0.928448 + 0.0913792i
\(315\) 0.924729 + 1.06400i 0.0521026 + 0.0599497i
\(316\) 4.18156 + 21.0373i 0.235231 + 1.18344i
\(317\) −4.46717 + 7.73737i −0.250901 + 0.434574i −0.963774 0.266719i \(-0.914060\pi\)
0.712873 + 0.701293i \(0.247394\pi\)
\(318\) −17.4732 21.8656i −0.979847 1.22616i
\(319\) 7.84821 4.53116i 0.439415 0.253696i
\(320\) 1.18171 0.788882i 0.0660594 0.0440998i
\(321\) −1.32613 2.04144i −0.0740172 0.113942i
\(322\) 3.65735 + 19.5440i 0.203816 + 1.08915i
\(323\) 19.1489i 1.06547i
\(324\) 14.4270 + 10.7639i 0.801500 + 0.597995i
\(325\) −29.6681 17.1289i −1.64569 0.950140i
\(326\) 2.20622 + 22.4161i 0.122191 + 1.24151i
\(327\) 4.91002 9.63974i 0.271525 0.533079i
\(328\) −4.32228 + 18.5199i −0.238658 + 1.02259i
\(329\) −26.5493 + 2.31266i −1.46371 + 0.127501i
\(330\) 0.431203 + 0.168736i 0.0237370 + 0.00928860i
\(331\) 5.59361 9.68841i 0.307452 0.532523i −0.670352 0.742043i \(-0.733857\pi\)
0.977804 + 0.209520i \(0.0671902\pi\)
\(332\) −2.29191 0.778351i −0.125785 0.0427176i
\(333\) 6.26904 4.55736i 0.343541 0.249742i
\(334\) 13.4575 9.64211i 0.736362 0.527593i
\(335\) 0.155652 + 0.269597i 0.00850418 + 0.0147297i
\(336\) −9.29516 15.7987i −0.507093 0.861892i
\(337\) 4.66503 8.08007i 0.254120 0.440150i −0.710536 0.703661i \(-0.751547\pi\)
0.964656 + 0.263512i \(0.0848807\pi\)
\(338\) −4.78472 48.6145i −0.260254 2.64428i
\(339\) −11.6459 + 22.8641i −0.632518 + 1.24181i
\(340\) −0.332039 1.67048i −0.0180074 0.0905946i
\(341\) 1.43277 + 2.48162i 0.0775887 + 0.134388i
\(342\) −3.41765 16.5954i −0.184805 0.897376i
\(343\) −17.8946 + 4.77312i −0.966219 + 0.257724i
\(344\) 11.7832 12.5755i 0.635305 0.678026i
\(345\) 0.0857778 + 1.63245i 0.00461812 + 0.0878880i
\(346\) −23.6785 + 16.9653i −1.27296 + 0.912059i
\(347\) 13.3601 7.71347i 0.717209 0.414081i −0.0965154 0.995331i \(-0.530770\pi\)
0.813725 + 0.581251i \(0.197436\pi\)
\(348\) −28.3869 8.00598i −1.52170 0.429165i
\(349\) −4.36795 + 2.52184i −0.233811 + 0.134991i −0.612329 0.790603i \(-0.709767\pi\)
0.378518 + 0.925594i \(0.376434\pi\)
\(350\) 3.41951 + 18.2731i 0.182780 + 0.976736i
\(351\) 12.8257 33.4534i 0.684587 1.78561i
\(352\) −5.11193 3.18125i −0.272467 0.169561i
\(353\) 11.0234i 0.586717i −0.956003 0.293359i \(-0.905227\pi\)
0.956003 0.293359i \(-0.0947730\pi\)
\(354\) −0.350022 2.30654i −0.0186034 0.122591i
\(355\) 0.335169 0.0177889
\(356\) −14.8086 5.02912i −0.784853 0.266543i
\(357\) −21.7596 + 3.05277i −1.15164 + 0.161570i
\(358\) −6.36493 8.88354i −0.336397 0.469510i
\(359\) 1.49840 + 2.59531i 0.0790827 + 0.136975i 0.902854 0.429946i \(-0.141468\pi\)
−0.823772 + 0.566922i \(0.808134\pi\)
\(360\) −0.585905 1.38846i −0.0308799 0.0731784i
\(361\) 1.52536 2.64199i 0.0802819 0.139052i
\(362\) −4.19979 + 9.26742i −0.220736 + 0.487085i
\(363\) 0.896785 + 17.0668i 0.0470690 + 0.895775i
\(364\) −25.2436 + 26.3426i −1.32312 + 1.38073i
\(365\) −0.548965 + 0.950835i −0.0287341 + 0.0497690i
\(366\) 19.6357 15.6912i 1.02637 0.820190i
\(367\) 18.4857i 0.964944i −0.875911 0.482472i \(-0.839739\pi\)
0.875911 0.482472i \(-0.160261\pi\)
\(368\) 2.78032 21.0735i 0.144934 1.09853i
\(369\) 18.4295 + 8.19929i 0.959403 + 0.426838i
\(370\) −0.645779 + 0.0635585i −0.0335724 + 0.00330425i
\(371\) 30.1182 2.62353i 1.56366 0.136207i
\(372\) 2.53151 8.97603i 0.131253 0.465386i
\(373\) 36.7373i 1.90219i 0.308905 + 0.951093i \(0.400038\pi\)
−0.308905 + 0.951093i \(0.599962\pi\)
\(374\) −5.86692 + 4.20356i −0.303371 + 0.217361i
\(375\) 0.160908 + 3.06227i 0.00830927 + 0.158135i
\(376\) 27.7443 + 6.47514i 1.43080 + 0.333930i
\(377\) 58.7064i 3.02353i
\(378\) −18.3131 + 6.52928i −0.941923 + 0.335830i
\(379\) −2.10691 −0.108225 −0.0541123 0.998535i \(-0.517233\pi\)
−0.0541123 + 0.998535i \(0.517233\pi\)
\(380\) −0.456173 + 1.34323i −0.0234012 + 0.0689064i
\(381\) 14.1808 0.745139i 0.726506 0.0381746i
\(382\) 6.94891 4.97879i 0.355537 0.254737i
\(383\) −18.2472 −0.932386 −0.466193 0.884683i \(-0.654375\pi\)
−0.466193 + 0.884683i \(0.654375\pi\)
\(384\) 4.19294 + 19.1421i 0.213970 + 0.976840i
\(385\) −0.409801 + 0.286715i −0.0208854 + 0.0146124i
\(386\) 0.265337 + 2.69593i 0.0135053 + 0.137219i
\(387\) −10.7480 14.7848i −0.546351 0.751553i
\(388\) 7.59555 22.3656i 0.385606 1.13544i
\(389\) −31.7283 −1.60869 −0.804344 0.594164i \(-0.797483\pi\)
−0.804344 + 0.594164i \(0.797483\pi\)
\(390\) −2.34332 + 1.87258i −0.118659 + 0.0948220i
\(391\) −22.0662 12.7399i −1.11594 0.644287i
\(392\) 19.7685 + 1.09837i 0.998460 + 0.0554763i
\(393\) 21.4034 1.12465i 1.07966 0.0567312i
\(394\) −7.75317 3.51356i −0.390599 0.177011i
\(395\) −1.64952 0.952353i −0.0829966 0.0479181i
\(396\) −4.33433 + 4.69013i −0.217808 + 0.235688i
\(397\) −18.5988 + 10.7380i −0.933449 + 0.538927i −0.887901 0.460035i \(-0.847837\pi\)
−0.0455483 + 0.998962i \(0.514503\pi\)
\(398\) −11.3272 15.8094i −0.567782 0.792455i
\(399\) 16.9670 + 6.85984i 0.849410 + 0.343422i
\(400\) 2.59951 19.7031i 0.129975 0.985154i
\(401\) 26.1270i 1.30472i 0.757910 + 0.652359i \(0.226220\pi\)
−0.757910 + 0.652359i \(0.773780\pi\)
\(402\) −4.24486 + 0.644166i −0.211714 + 0.0321281i
\(403\) −18.5631 −0.924695
\(404\) 1.81641 + 2.07180i 0.0903699 + 0.103076i
\(405\) −1.56332 + 0.333193i −0.0776822 + 0.0165565i
\(406\) 24.1887 20.7318i 1.20047 1.02890i
\(407\) 1.37490 + 2.38140i 0.0681513 + 0.118041i
\(408\) 23.1237 + 4.13104i 1.14479 + 0.204517i
\(409\) −11.9417 20.6836i −0.590478 1.02274i −0.994168 0.107842i \(-0.965606\pi\)
0.403690 0.914896i \(-0.367727\pi\)
\(410\) −0.983592 1.37280i −0.0485761 0.0677978i
\(411\) −11.7527 + 0.617550i −0.579716 + 0.0304615i
\(412\) 20.4493 17.9286i 1.00747 0.883277i
\(413\) 2.28337 + 1.06581i 0.112358 + 0.0524449i
\(414\) −21.3975 7.10274i −1.05163 0.349081i
\(415\) 0.186146 0.107471i 0.00913753 0.00527556i
\(416\) 34.4051 18.3746i 1.68685 0.900889i
\(417\) 23.9181 + 12.1827i 1.17127 + 0.596591i
\(418\) 5.98252 0.588809i 0.292615 0.0287996i
\(419\) −3.21715 1.85742i −0.157168 0.0907411i 0.419353 0.907823i \(-0.362257\pi\)
−0.576521 + 0.817082i \(0.695590\pi\)
\(420\) 1.59909 + 0.304224i 0.0780274 + 0.0148446i
\(421\) −12.4384 + 7.18131i −0.606210 + 0.349995i −0.771481 0.636253i \(-0.780484\pi\)
0.165271 + 0.986248i \(0.447150\pi\)
\(422\) 18.5852 13.3160i 0.904712 0.648213i
\(423\) 12.2832 27.6090i 0.597231 1.34239i
\(424\) −31.4738 7.34555i −1.52850 0.356731i
\(425\) −20.6312 11.9114i −1.00076 0.577790i
\(426\) −1.68451 + 4.30475i −0.0816146 + 0.208566i
\(427\) 2.35597 + 27.0466i 0.114013 + 1.30887i
\(428\) −2.66165 0.903920i −0.128656 0.0436926i
\(429\) 11.3267 + 5.76926i 0.546856 + 0.278542i
\(430\) 0.149895 + 1.52299i 0.00722859 + 0.0734452i
\(431\) 7.05594 12.2212i 0.339873 0.588677i −0.644536 0.764574i \(-0.722949\pi\)
0.984409 + 0.175897i \(0.0562827\pi\)
\(432\) 20.7774 0.546890i 0.999654 0.0263123i
\(433\) −11.8206 −0.568064 −0.284032 0.958815i \(-0.591672\pi\)
−0.284032 + 0.958815i \(0.591672\pi\)
\(434\) 6.55545 + 7.64854i 0.314672 + 0.367142i
\(435\) 2.19641 1.42680i 0.105310 0.0684096i
\(436\) −2.43532 12.2521i −0.116631 0.586767i
\(437\) 10.6112 + 18.3792i 0.507603 + 0.879195i
\(438\) −9.45306 11.8294i −0.451685 0.565231i
\(439\) −1.30016 0.750646i −0.0620531 0.0358264i 0.468652 0.883383i \(-0.344740\pi\)
−0.530706 + 0.847556i \(0.678073\pi\)
\(440\) 0.511684 0.155102i 0.0243936 0.00739419i
\(441\) 5.09016 20.3738i 0.242388 0.970179i
\(442\) −4.57955 46.5299i −0.217827 2.21320i
\(443\) −1.06520 0.614992i −0.0506091 0.0292192i 0.474482 0.880265i \(-0.342635\pi\)
−0.525091 + 0.851046i \(0.675969\pi\)
\(444\) 2.42927 8.61351i 0.115288 0.408779i
\(445\) 1.20273 0.694398i 0.0570150 0.0329176i
\(446\) −26.9822 + 2.65563i −1.27764 + 0.125748i
\(447\) 1.12474 + 21.4051i 0.0531985 + 1.01243i
\(448\) −19.7208 7.68701i −0.931720 0.363177i
\(449\) 30.5120i 1.43995i −0.693999 0.719976i \(-0.744153\pi\)
0.693999 0.719976i \(-0.255847\pi\)
\(450\) −20.0060 6.64084i −0.943091 0.313052i
\(451\) −3.57826 + 6.19773i −0.168494 + 0.291839i
\(452\) 5.77624 + 29.0602i 0.271692 + 1.36687i
\(453\) 15.5522 0.817198i 0.730706 0.0383953i
\(454\) 6.22463 13.7355i 0.292136 0.644640i
\(455\) −0.281162 3.22774i −0.0131811 0.151319i
\(456\) −14.9592 12.6098i −0.700528 0.590506i
\(457\) −3.25696 + 5.64123i −0.152354 + 0.263885i −0.932093 0.362220i \(-0.882019\pi\)
0.779738 + 0.626106i \(0.215352\pi\)
\(458\) 7.50232 16.5549i 0.350560 0.773561i
\(459\) 8.91903 23.2635i 0.416305 1.08585i
\(460\) 1.24438 + 1.41934i 0.0580194 + 0.0661769i
\(461\) −8.91194 15.4359i −0.415071 0.718923i 0.580365 0.814356i \(-0.302910\pi\)
−0.995436 + 0.0954329i \(0.969576\pi\)
\(462\) −1.62284 6.70428i −0.0755011 0.311911i
\(463\) −5.67380 3.27577i −0.263684 0.152238i 0.362330 0.932050i \(-0.381981\pi\)
−0.626014 + 0.779812i \(0.715315\pi\)
\(464\) −31.4683 + 13.0244i −1.46088 + 0.604642i
\(465\) 0.451157 + 0.694512i 0.0209219 + 0.0322072i
\(466\) −31.4604 + 3.09638i −1.45737 + 0.143437i
\(467\) 13.2243 7.63507i 0.611949 0.353309i −0.161779 0.986827i \(-0.551723\pi\)
0.773728 + 0.633518i \(0.218390\pi\)
\(468\) −12.2734 39.5078i −0.567338 1.82625i
\(469\) 1.96147 4.20223i 0.0905721 0.194041i
\(470\) −2.05657 + 1.47350i −0.0948626 + 0.0679677i
\(471\) 11.0297 + 16.9791i 0.508220 + 0.782354i
\(472\) −1.96576 1.84191i −0.0904816 0.0847806i
\(473\) 5.61624 3.24254i 0.258235 0.149092i
\(474\) 20.5218 16.3993i 0.942599 0.753246i
\(475\) 9.92115 + 17.1839i 0.455214 + 0.788453i
\(476\) −17.5544 + 18.3186i −0.804605 + 0.839634i
\(477\) −13.9344 + 31.3203i −0.638011 + 1.43406i
\(478\) 15.1335 10.8429i 0.692189 0.495943i
\(479\) −29.2479 −1.33637 −0.668186 0.743995i \(-0.732929\pi\)
−0.668186 + 0.743995i \(0.732929\pi\)
\(480\) −1.52364 0.840641i −0.0695442 0.0383698i
\(481\) −17.8134 −0.812221
\(482\) 16.2048 + 7.34363i 0.738107 + 0.334493i
\(483\) 19.1932 14.9880i 0.873322 0.681976i
\(484\) 13.0096 + 14.8388i 0.591347 + 0.674490i
\(485\) 1.04876 + 1.81651i 0.0476217 + 0.0824833i
\(486\) 3.57766 21.7532i 0.162286 0.986744i
\(487\) 15.0733 + 8.70255i 0.683034 + 0.394350i 0.800997 0.598668i \(-0.204303\pi\)
−0.117963 + 0.993018i \(0.537636\pi\)
\(488\) 6.59641 28.2639i 0.298605 1.27945i
\(489\) 23.1340 15.0279i 1.04616 0.679587i
\(490\) −1.23063 + 1.25570i −0.0555942 + 0.0567268i
\(491\) −21.7732 12.5707i −0.982609 0.567309i −0.0795520 0.996831i \(-0.525349\pi\)
−0.903057 + 0.429521i \(0.858682\pi\)
\(492\) 22.5750 5.73329i 1.01776 0.258477i
\(493\) 40.8245i 1.83864i
\(494\) −16.0743 + 35.4702i −0.723216 + 1.59588i
\(495\) −0.0594340 0.563986i −0.00267136 0.0253493i
\(496\) −4.11835 9.95035i −0.184919 0.446784i
\(497\) −2.86231 4.09109i −0.128392 0.183510i
\(498\) 0.444770 + 2.93090i 0.0199306 + 0.131337i
\(499\) 15.6750 0.701711 0.350855 0.936430i \(-0.385891\pi\)
0.350855 + 0.936430i \(0.385891\pi\)
\(500\) 2.33429 + 2.66250i 0.104393 + 0.119070i
\(501\) −18.0672 9.20259i −0.807184 0.411141i
\(502\) 3.93154 8.67549i 0.175473 0.387206i
\(503\) 6.80813 0.303560 0.151780 0.988414i \(-0.451500\pi\)
0.151780 + 0.988414i \(0.451500\pi\)
\(504\) −11.9441 + 19.0089i −0.532031 + 0.846725i
\(505\) −0.244677 −0.0108880
\(506\) 3.30172 7.28570i 0.146779 0.323889i
\(507\) −50.1716 + 32.5916i −2.22820 + 1.44744i
\(508\) 12.3296 10.8097i 0.547036 0.479604i
\(509\) 29.6614 1.31472 0.657360 0.753577i \(-0.271673\pi\)
0.657360 + 0.753577i \(0.271673\pi\)
\(510\) −1.62955 + 1.30220i −0.0721576 + 0.0576623i
\(511\) 16.2941 1.41934i 0.720807 0.0627880i
\(512\) 17.4823 + 14.3656i 0.772615 + 0.634875i
\(513\) −16.1217 + 13.0661i −0.711789 + 0.576881i
\(514\) −4.56160 + 10.0658i −0.201204 + 0.443984i
\(515\) 2.41504i 0.106419i
\(516\) −20.3139 5.72915i −0.894271 0.252212i
\(517\) 9.28471 + 5.36053i 0.408341 + 0.235756i
\(518\) 6.29069 + 7.33963i 0.276397 + 0.322485i
\(519\) 31.7893 + 16.1919i 1.39539 + 0.710747i
\(520\) −0.787216 + 3.37302i −0.0345217 + 0.147917i
\(521\) −10.9369 6.31444i −0.479156 0.276641i 0.240909 0.970548i \(-0.422555\pi\)
−0.720065 + 0.693907i \(0.755888\pi\)
\(522\) 7.28625 + 35.3805i 0.318911 + 1.54856i
\(523\) −4.83299 8.37099i −0.211332 0.366038i 0.740800 0.671726i \(-0.234447\pi\)
−0.952132 + 0.305688i \(0.901113\pi\)
\(524\) 18.6092 16.3153i 0.812948 0.712737i
\(525\) 17.9451 14.0133i 0.783187 0.611589i
\(526\) 24.9032 + 11.2856i 1.08583 + 0.492075i
\(527\) −12.9088 −0.562317
\(528\) −0.579595 + 7.35135i −0.0252236 + 0.319926i
\(529\) 5.23897 0.227781
\(530\) 2.33302 1.67158i 0.101340 0.0726087i
\(531\) −2.31111 + 1.68009i −0.100294 + 0.0729098i
\(532\) 20.2912 5.90300i 0.879737 0.255927i
\(533\) −23.1802 40.1493i −1.00405 1.73906i
\(534\) 2.87377 + 18.9373i 0.124360 + 0.819496i
\(535\) 0.216176 0.124809i 0.00934610 0.00539597i
\(536\) −3.38977 + 3.61772i −0.146416 + 0.156262i
\(537\) −6.07479 + 11.9265i −0.262147 + 0.514666i
\(538\) 8.04385 5.76330i 0.346795 0.248473i
\(539\) 6.99933 + 2.55354i 0.301482 + 0.109989i
\(540\) −1.17983 + 1.41939i −0.0507720 + 0.0610807i
\(541\) 18.8332 10.8734i 0.809703 0.467482i −0.0371499 0.999310i \(-0.511828\pi\)
0.846853 + 0.531828i \(0.178495\pi\)
\(542\) −3.53130 + 0.347556i −0.151682 + 0.0149288i
\(543\) 12.4442 0.653886i 0.534031 0.0280609i
\(544\) 23.9253 12.7777i 1.02579 0.547840i
\(545\) 0.960676 + 0.554647i 0.0411508 + 0.0237584i
\(546\) 42.8686 + 12.6110i 1.83461 + 0.539701i
\(547\) 14.9320 + 25.8630i 0.638446 + 1.10582i 0.985774 + 0.168077i \(0.0537559\pi\)
−0.347328 + 0.937744i \(0.612911\pi\)
\(548\) −10.2184 + 8.95879i −0.436508 + 0.382700i
\(549\) −28.1261 12.5133i −1.20039 0.534053i
\(550\) 3.08700 6.81190i 0.131630 0.290460i
\(551\) 17.0015 29.4475i 0.724290 1.25451i
\(552\) −24.4833 + 8.84882i −1.04208 + 0.376631i
\(553\) 2.46230 + 28.2672i 0.104708 + 1.20204i
\(554\) 3.76258 8.30267i 0.159857 0.352747i
\(555\) 0.432936 + 0.666462i 0.0183771 + 0.0282897i
\(556\) 30.3998 6.04252i 1.28924 0.256260i
\(557\) −0.0854227 + 0.147956i −0.00361947 + 0.00626911i −0.867829 0.496862i \(-0.834485\pi\)
0.864210 + 0.503131i \(0.167819\pi\)
\(558\) −11.1874 + 2.30393i −0.473602 + 0.0975333i
\(559\) 42.0108i 1.77687i
\(560\) 1.66778 0.866804i 0.0704766 0.0366292i
\(561\) 7.87657 + 4.01195i 0.332549 + 0.169385i
\(562\) −16.7679 + 1.65033i −0.707313 + 0.0696149i
\(563\) 12.5813 7.26384i 0.530240 0.306134i −0.210874 0.977513i \(-0.567631\pi\)
0.741114 + 0.671379i \(0.234298\pi\)
\(564\) −8.58896 33.8192i −0.361660 1.42405i
\(565\) −2.27859 1.31554i −0.0958609 0.0553453i
\(566\) 0.333708 + 3.39060i 0.0140268 + 0.142517i
\(567\) 17.4176 + 16.2366i 0.731471 + 0.681873i
\(568\) 1.54840 + 5.10820i 0.0649693 + 0.214335i
\(569\) 30.4584 + 17.5852i 1.27688 + 0.737208i 0.976274 0.216539i \(-0.0694770\pi\)
0.300608 + 0.953748i \(0.402810\pi\)
\(570\) 1.71773 0.260669i 0.0719479 0.0109182i
\(571\) −6.79169 11.7636i −0.284223 0.492289i 0.688197 0.725524i \(-0.258402\pi\)
−0.972421 + 0.233234i \(0.925069\pi\)
\(572\) 14.3961 2.86150i 0.601932 0.119645i
\(573\) −9.32917 4.75184i −0.389732 0.198511i
\(574\) −8.35672 + 23.7294i −0.348803 + 0.990445i
\(575\) 26.4026 1.10106
\(576\) 18.4544 15.3439i 0.768932 0.639331i
\(577\) −4.94177 + 8.55940i −0.205729 + 0.356333i −0.950365 0.311138i \(-0.899290\pi\)
0.744636 + 0.667471i \(0.232623\pi\)
\(578\) −0.829785 8.43093i −0.0345145 0.350680i
\(579\) 2.78227 1.80737i 0.115627 0.0751119i
\(580\) 0.972539 2.86370i 0.0403825 0.118909i
\(581\) −2.90147 1.35431i −0.120373 0.0561863i
\(582\) −28.6012 + 4.34029i −1.18556 + 0.179911i
\(583\) −10.5328 6.08111i −0.436224 0.251854i
\(584\) −17.0275 3.97397i −0.704601 0.164444i
\(585\) 3.35657 + 1.49333i 0.138777 + 0.0617418i
\(586\) −2.81536 + 2.01717i −0.116302 + 0.0833283i
\(587\) 39.3640 22.7268i 1.62473 0.938036i 0.639094 0.769129i \(-0.279310\pi\)
0.985632 0.168907i \(-0.0540237\pi\)
\(588\) −9.94267 22.1166i −0.410029 0.912073i
\(589\) 9.31139 + 5.37594i 0.383669 + 0.221512i
\(590\) 0.238069 0.0234312i 0.00980116 0.000964645i
\(591\) 0.547044 + 10.4109i 0.0225024 + 0.428245i
\(592\) −3.95201 9.54848i −0.162427 0.392440i
\(593\) 8.87482 5.12388i 0.364445 0.210412i −0.306584 0.951844i \(-0.599186\pi\)
0.671029 + 0.741431i \(0.265853\pi\)
\(594\) 7.54227 + 2.07116i 0.309463 + 0.0849809i
\(595\) −0.195520 2.24457i −0.00801554 0.0920185i
\(596\) 16.3166 + 18.6107i 0.668354 + 0.762325i
\(597\) −10.8109 + 21.2248i −0.442460 + 0.868671i
\(598\) 30.1797 + 42.1218i 1.23414 + 1.72249i
\(599\) 9.72521 + 16.8446i 0.397361 + 0.688250i 0.993399 0.114706i \(-0.0365926\pi\)
−0.596038 + 0.802956i \(0.703259\pi\)
\(600\) −22.8912 + 8.27337i −0.934527 + 0.337759i
\(601\) −17.0699 29.5660i −0.696297 1.20602i −0.969741 0.244134i \(-0.921496\pi\)
0.273444 0.961888i \(-0.411837\pi\)
\(602\) 17.3096 14.8358i 0.705488 0.604664i
\(603\) 3.09198 + 4.25328i 0.125915 + 0.173207i
\(604\) 13.5219 11.8551i 0.550198 0.482376i
\(605\) −1.75244 −0.0712469
\(606\) 1.22971 3.14251i 0.0499535 0.127656i
\(607\) 14.3802i 0.583675i 0.956468 + 0.291837i \(0.0942666\pi\)
−0.956468 + 0.291837i \(0.905733\pi\)
\(608\) −22.5792 0.746986i −0.915707 0.0302943i
\(609\) −36.1727 14.6248i −1.46579 0.592628i
\(610\) 1.50110 + 2.09509i 0.0607778 + 0.0848277i
\(611\) −60.1470 + 34.7259i −2.43329 + 1.40486i
\(612\) −8.53494 27.4738i −0.345005 1.11056i
\(613\) −13.8205 7.97928i −0.558206 0.322280i 0.194219 0.980958i \(-0.437783\pi\)
−0.752425 + 0.658678i \(0.771116\pi\)
\(614\) −30.8530 13.9819i −1.24512 0.564263i
\(615\) −0.938756 + 1.84304i −0.0378543 + 0.0743185i
\(616\) −6.26292 4.92110i −0.252340 0.198277i
\(617\) −24.3905 14.0818i −0.981923 0.566914i −0.0790728 0.996869i \(-0.525196\pi\)
−0.902850 + 0.429955i \(0.858529\pi\)
\(618\) −31.0176 12.1376i −1.24771 0.488246i
\(619\) −24.6832 −0.992103 −0.496051 0.868293i \(-0.665217\pi\)
−0.496051 + 0.868293i \(0.665217\pi\)
\(620\) 0.905511 + 0.307519i 0.0363662 + 0.0123503i
\(621\) 4.33079 + 27.2708i 0.173789 + 1.09434i
\(622\) −1.01705 10.3336i −0.0407801 0.414341i
\(623\) −18.7471 8.75053i −0.751086 0.350583i
\(624\) −39.3650 27.0629i −1.57586 1.08338i
\(625\) 24.5278 0.981114
\(626\) −22.6818 + 16.2512i −0.906547 + 0.649528i
\(627\) −4.01073 6.17413i −0.160173 0.246571i
\(628\) 22.1375 + 7.51808i 0.883381 + 0.300004i
\(629\) −12.3875 −0.493920
\(630\) −0.570053 1.91036i −0.0227115 0.0761107i
\(631\) 20.8868i 0.831489i 0.909481 + 0.415745i \(0.136479\pi\)
−0.909481 + 0.415745i \(0.863521\pi\)
\(632\) 6.89411 29.5395i 0.274233 1.17502i
\(633\) −24.9513 12.7090i −0.991726 0.505138i
\(634\) 10.2709 7.35893i 0.407909 0.292261i
\(635\) 1.45610i 0.0577837i
\(636\) 9.74351 + 38.3653i 0.386355 + 1.52128i
\(637\) −36.9968 + 30.9964i −1.46587 + 1.22812i
\(638\) −12.7544 + 1.25531i −0.504953 + 0.0496983i
\(639\) 5.63032 0.593335i 0.222732 0.0234720i
\(640\) −1.98268 + 0.326356i −0.0783723 + 0.0129003i
\(641\) 23.9332i 0.945304i 0.881249 + 0.472652i \(0.156703\pi\)
−0.881249 + 0.472652i \(0.843297\pi\)
\(642\) 0.516523 + 3.40373i 0.0203855 + 0.134335i
\(643\) 17.6623 30.5920i 0.696533 1.20643i −0.273128 0.961978i \(-0.588058\pi\)
0.969661 0.244453i \(-0.0786083\pi\)
\(644\) 6.69764 27.3099i 0.263924 1.07616i
\(645\) 1.57177 1.02103i 0.0618884 0.0402029i
\(646\) −11.1781 + 24.6660i −0.439795 + 0.970470i
\(647\) 6.88193 11.9199i 0.270557 0.468618i −0.698448 0.715661i \(-0.746126\pi\)
0.969005 + 0.247043i \(0.0794589\pi\)
\(648\) −12.3003 22.2868i −0.483200 0.875510i
\(649\) −0.506863 0.877913i −0.0198961 0.0344611i
\(650\) 28.2170 + 39.3826i 1.10676 + 1.54471i
\(651\) 4.62442 11.4379i 0.181245 0.448287i
\(652\) 10.2434 30.1624i 0.401163 1.18125i
\(653\) 2.74626 0.107470 0.0537348 0.998555i \(-0.482887\pi\)
0.0537348 + 0.998555i \(0.482887\pi\)
\(654\) −11.9518 + 9.55090i −0.467353 + 0.373470i
\(655\) 2.19772i 0.0858722i
\(656\) 16.3785 21.3326i 0.639472 0.832899i
\(657\) −7.53856 + 16.9444i −0.294107 + 0.661064i
\(658\) 35.5486 + 12.5191i 1.38583 + 0.488044i
\(659\) −21.3999 + 12.3552i −0.833620 + 0.481291i −0.855091 0.518478i \(-0.826499\pi\)
0.0214702 + 0.999769i \(0.493165\pi\)
\(660\) −0.456941 0.469064i −0.0177864 0.0182583i
\(661\) 5.67257 3.27506i 0.220637 0.127385i −0.385608 0.922663i \(-0.626008\pi\)
0.606245 + 0.795278i \(0.292675\pi\)
\(662\) −12.8608 + 9.21455i −0.499848 + 0.358134i
\(663\) −48.0202 + 31.1941i −1.86495 + 1.21148i
\(664\) 2.49788 + 2.34049i 0.0969366 + 0.0908288i
\(665\) −0.793730 + 1.70048i −0.0307795 + 0.0659418i
\(666\) −10.7356 + 2.21088i −0.415996 + 0.0856699i
\(667\) −22.6226 39.1835i −0.875950 1.51719i
\(668\) −22.9634 + 4.56439i −0.888479 + 0.176602i
\(669\) 18.0891 + 27.8464i 0.699364 + 1.07660i
\(670\) −0.0431218 0.438134i −0.00166594 0.0169266i
\(671\) 5.46093 9.45860i 0.210817 0.365145i
\(672\) 2.75081 + 25.7766i 0.106115 + 0.994354i
\(673\) 4.04098 + 6.99918i 0.155768 + 0.269798i 0.933338 0.358998i \(-0.116881\pi\)
−0.777570 + 0.628796i \(0.783548\pi\)
\(674\) −10.7258 + 7.68488i −0.413142 + 0.296010i
\(675\) 4.04916 + 25.4973i 0.155852 + 0.981393i
\(676\) −22.2152 + 65.4142i −0.854431 + 2.51593i
\(677\) −19.3748 + 33.5582i −0.744635 + 1.28975i 0.205730 + 0.978609i \(0.434043\pi\)
−0.950365 + 0.311137i \(0.899290\pi\)
\(678\) 28.3480 22.6534i 1.08870 0.869998i
\(679\) 13.2161 28.3140i 0.507186 1.08659i
\(680\) −0.547431 + 2.34560i −0.0209930 + 0.0899497i
\(681\) −18.4439 + 0.969143i −0.706771 + 0.0371376i
\(682\) −0.396933 4.03299i −0.0151994 0.154431i
\(683\) 39.6953 + 22.9181i 1.51890 + 0.876937i 0.999752 + 0.0222527i \(0.00708385\pi\)
0.519148 + 0.854685i \(0.326249\pi\)
\(684\) −5.28515 + 23.3718i −0.202083 + 0.893644i
\(685\) 1.20678i 0.0461086i
\(686\) 25.8366 + 4.29757i 0.986447 + 0.164082i
\(687\) −22.2297 + 1.16807i −0.848117 + 0.0445648i
\(688\) −22.5190 + 9.32036i −0.858527 + 0.355335i
\(689\) 68.2322 39.3939i 2.59944 1.50079i
\(690\) 0.842441 2.15285i 0.0320712 0.0819577i
\(691\) 12.6720 21.9486i 0.482066 0.834964i −0.517722 0.855549i \(-0.673220\pi\)
0.999788 + 0.0205855i \(0.00655304\pi\)
\(692\) 40.4040 8.03105i 1.53593 0.305295i
\(693\) −6.37648 + 5.54184i −0.242222 + 0.210517i
\(694\) −21.7121 + 2.13694i −0.824180 + 0.0811170i
\(695\) −1.37619 + 2.38362i −0.0522017 + 0.0904160i
\(696\) 31.8922 + 26.8834i 1.20887 + 1.01901i
\(697\) −16.1195 27.9199i −0.610571 1.05754i
\(698\) 7.09853 0.698649i 0.268683 0.0264442i
\(699\) 21.0913 + 32.4680i 0.797747 + 1.22805i
\(700\) 6.26209 25.5339i 0.236685 0.965092i
\(701\) 6.24632 0.235920 0.117960 0.993018i \(-0.462364\pi\)
0.117960 + 0.993018i \(0.462364\pi\)
\(702\) −36.0493 + 35.6049i −1.36059 + 1.34382i
\(703\) 8.93532 + 5.15881i 0.337002 + 0.194568i
\(704\) 4.72771 + 7.08188i 0.178182 + 0.266909i
\(705\) 2.76103 + 1.40634i 0.103986 + 0.0529657i
\(706\) −6.43486 + 14.1994i −0.242179 + 0.534403i
\(707\) 2.08952 + 2.98654i 0.0785843 + 0.112320i
\(708\) −0.895562 + 3.17541i −0.0336573 + 0.119339i
\(709\) −41.3213 23.8569i −1.55185 0.895964i −0.997991 0.0633563i \(-0.979820\pi\)
−0.553864 0.832607i \(-0.686847\pi\)
\(710\) −0.431736 0.195653i −0.0162028 0.00734273i
\(711\) −29.3954 13.0780i −1.10241 0.490464i
\(712\) 16.1394 + 15.1225i 0.604851 + 0.566740i
\(713\) 12.3899 7.15332i 0.464006 0.267894i
\(714\) 29.8109 + 8.76971i 1.11564 + 0.328198i
\(715\) −0.651707 + 1.12879i −0.0243725 + 0.0422144i
\(716\) 3.01304 + 15.1585i 0.112602 + 0.566501i
\(717\) −20.3173 10.3487i −0.758763 0.386478i
\(718\) −0.415117 4.21774i −0.0154920 0.157405i
\(719\) −3.59122 6.22018i −0.133930 0.231973i 0.791258 0.611482i \(-0.209426\pi\)
−0.925188 + 0.379509i \(0.876093\pi\)
\(720\) −0.0557939 + 2.13052i −0.00207932 + 0.0793997i
\(721\) 29.4781 20.6242i 1.09782 0.768085i
\(722\) −3.50709 + 2.51277i −0.130520 + 0.0935158i
\(723\) −1.14337 21.7595i −0.0425223 0.809246i
\(724\) 10.8196 9.48591i 0.402108 0.352541i
\(725\) −21.1514 36.6353i −0.785543 1.36060i
\(726\) 8.80750 22.5075i 0.326877 0.835332i
\(727\) −8.10429 + 4.67901i −0.300571 + 0.173535i −0.642700 0.766118i \(-0.722186\pi\)
0.342128 + 0.939653i \(0.388852\pi\)
\(728\) 47.8940 19.1964i 1.77507 0.711467i
\(729\) −25.6716 + 8.36462i −0.950801 + 0.309801i
\(730\) 1.26218 0.904330i 0.0467152 0.0334708i
\(731\) 29.2143i 1.08053i
\(732\) −34.4526 + 8.74982i −1.27341 + 0.323402i
\(733\) 23.6140i 0.872204i −0.899897 0.436102i \(-0.856359\pi\)
0.899897 0.436102i \(-0.143641\pi\)
\(734\) −10.7909 + 23.8117i −0.398300 + 0.878905i
\(735\) 2.05886 + 0.630847i 0.0759420 + 0.0232692i
\(736\) −15.8829 + 25.5221i −0.585453 + 0.940758i
\(737\) −1.61568 + 0.932812i −0.0595142 + 0.0343606i
\(738\) −18.9531 21.3198i −0.697672 0.784792i
\(739\) −16.8425 + 29.1720i −0.619560 + 1.07311i 0.370006 + 0.929029i \(0.379355\pi\)
−0.989566 + 0.144080i \(0.953978\pi\)
\(740\) 0.868939 + 0.295099i 0.0319429 + 0.0108481i
\(741\) 47.6289 2.50268i 1.74969 0.0919384i
\(742\) −40.3272 14.2019i −1.48046 0.521369i
\(743\) 16.9812 29.4122i 0.622978 1.07903i −0.365950 0.930635i \(-0.619256\pi\)
0.988928 0.148395i \(-0.0474108\pi\)
\(744\) −8.50060 + 10.0844i −0.311647 + 0.369712i
\(745\) −2.19790 −0.0805249
\(746\) 21.4452 47.3219i 0.785165 1.73258i
\(747\) 2.93671 2.13488i 0.107449 0.0781112i
\(748\) 10.0111 1.98989i 0.366041 0.0727575i
\(749\) −3.36955 1.57280i −0.123121 0.0574688i
\(750\) 1.58031 4.03848i 0.0577049 0.147464i
\(751\) 24.5952i 0.897491i 0.893660 + 0.448745i \(0.148129\pi\)
−0.893660 + 0.448745i \(0.851871\pi\)
\(752\) −31.9581 24.5363i −1.16539 0.894748i
\(753\) −11.6493 + 0.612120i −0.424525 + 0.0223069i
\(754\) 34.2696 75.6206i 1.24802 2.75394i
\(755\) 1.59692i 0.0581178i
\(756\) 27.4008 + 2.27970i 0.996557 + 0.0829119i
\(757\) 0.811324i 0.0294881i −0.999891 0.0147440i \(-0.995307\pi\)
0.999891 0.0147440i \(-0.00469334\pi\)
\(758\) 2.71394 + 1.22990i 0.0985747 + 0.0446719i
\(759\) −9.78314 + 0.514060i −0.355106 + 0.0186592i
\(760\) 1.37171 1.46395i 0.0497571 0.0531030i
\(761\) 4.87141i 0.176588i 0.996094 + 0.0882942i \(0.0281416\pi\)
−0.996094 + 0.0882942i \(0.971858\pi\)
\(762\) −18.7015 7.31816i −0.677484 0.265109i
\(763\) −1.43403 16.4627i −0.0519154 0.595990i
\(764\) −11.8573 + 2.35687i −0.428983 + 0.0852684i
\(765\) 2.33416 + 1.03847i 0.0843917 + 0.0375458i
\(766\) 23.5045 + 10.6517i 0.849250 + 0.384861i
\(767\) 6.56699 0.237120
\(768\) 5.77310 27.1048i 0.208319 0.978061i
\(769\) −10.8811 + 18.8466i −0.392382 + 0.679626i −0.992763 0.120088i \(-0.961682\pi\)
0.600381 + 0.799714i \(0.295016\pi\)
\(770\) 0.695240 0.130103i 0.0250547 0.00468859i
\(771\) 13.5162 0.710218i 0.486776 0.0255779i
\(772\) 1.23195 3.62756i 0.0443388 0.130559i
\(773\) 20.7830 35.9972i 0.747513 1.29473i −0.201499 0.979489i \(-0.564581\pi\)
0.949012 0.315241i \(-0.102085\pi\)
\(774\) 5.21410 + 25.3186i 0.187417 + 0.910059i
\(775\) 11.5842 6.68813i 0.416116 0.240245i
\(776\) −22.8398 + 24.3756i −0.819899 + 0.875034i
\(777\) 4.43764 10.9760i 0.159200 0.393760i
\(778\) 40.8697 + 18.5212i 1.46525 + 0.664018i
\(779\) 26.8522i 0.962081i
\(780\) 4.11158 1.04420i 0.147218 0.0373885i
\(781\) 2.00864i 0.0718748i
\(782\) 20.9870 + 29.2916i 0.750493 + 1.04746i
\(783\) 34.3706 27.8562i 1.22831 0.995500i
\(784\) −24.8229 12.9546i −0.886534 0.462664i
\(785\) −1.79798 + 1.03806i −0.0641726 + 0.0370500i
\(786\) −28.2265 11.0454i −1.00681 0.393977i
\(787\) 5.72076 + 9.90865i 0.203923 + 0.353205i 0.949789 0.312891i \(-0.101297\pi\)
−0.745866 + 0.666096i \(0.767964\pi\)
\(788\) 7.93595 + 9.05175i 0.282707 + 0.322455i
\(789\) −1.75711 33.4397i −0.0625548 1.19049i
\(790\) 1.56885 + 2.18964i 0.0558170 + 0.0779040i
\(791\) 3.40132 + 39.0472i 0.120937 + 1.38836i
\(792\) 8.32095 3.51129i 0.295672 0.124768i
\(793\) 35.3763 + 61.2735i 1.25625 + 2.17589i
\(794\) 30.2257 2.97486i 1.07267 0.105574i
\(795\) −3.13217 1.59538i −0.111087 0.0565823i
\(796\) 5.36209 + 26.9766i 0.190054 + 0.956159i
\(797\) −2.37197 + 4.10838i −0.0840196 + 0.145526i −0.904973 0.425469i \(-0.860109\pi\)
0.820953 + 0.570995i \(0.193443\pi\)
\(798\) −17.8510 18.7406i −0.631919 0.663412i
\(799\) −41.8263 + 24.1484i −1.47971 + 0.854310i
\(800\) −14.8500 + 23.8624i −0.525028 + 0.843663i
\(801\) 18.9748 13.7940i 0.670442 0.487386i
\(802\) 15.2515 33.6545i 0.538548 1.18838i
\(803\) −5.69829 3.28991i −0.201088 0.116098i
\(804\) 5.84390 + 1.64816i 0.206099 + 0.0581260i
\(805\) 1.43147 + 2.04600i 0.0504528 + 0.0721120i
\(806\) 23.9114 + 10.8361i 0.842245 + 0.381686i
\(807\) −10.7992 5.50059i −0.380149 0.193630i
\(808\) −1.13035 3.72904i −0.0397654 0.131187i
\(809\) −11.8570 6.84566i −0.416871 0.240681i 0.276867 0.960908i \(-0.410704\pi\)
−0.693738 + 0.720228i \(0.744037\pi\)
\(810\) 2.20824 + 0.483392i 0.0775897 + 0.0169847i
\(811\) −1.28941 −0.0452773 −0.0226387 0.999744i \(-0.507207\pi\)
−0.0226387 + 0.999744i \(0.507207\pi\)
\(812\) −43.2599 + 12.5849i −1.51813 + 0.441643i
\(813\) 2.36741 + 3.64440i 0.0830288 + 0.127815i
\(814\) −0.380902 3.87011i −0.0133506 0.135647i
\(815\) 1.41436 + 2.44975i 0.0495430 + 0.0858110i
\(816\) −27.3745 18.8196i −0.958298 0.658817i
\(817\) 12.1664 21.0729i 0.425650 0.737248i
\(818\) 3.30832 + 33.6137i 0.115673 + 1.17528i
\(819\) −10.4370 53.7234i −0.364699 1.87725i
\(820\) 0.465614 + 2.34249i 0.0162599 + 0.0818034i
\(821\) 17.0149 29.4707i 0.593825 1.02854i −0.399886 0.916565i \(-0.630950\pi\)
0.993711 0.111971i \(-0.0357163\pi\)
\(822\) 15.4993 + 6.06509i 0.540600 + 0.211544i
\(823\) −28.4227 + 16.4098i −0.990752 + 0.572011i −0.905499 0.424348i \(-0.860503\pi\)
−0.0852531 + 0.996359i \(0.527170\pi\)
\(824\) −36.8068 + 11.1569i −1.28223 + 0.388668i
\(825\) −9.14693 + 0.480630i −0.318455 + 0.0167334i
\(826\) −2.31909 2.70579i −0.0806915 0.0941464i
\(827\) 31.3779i 1.09112i −0.838073 0.545558i \(-0.816318\pi\)
0.838073 0.545558i \(-0.183682\pi\)
\(828\) 23.4162 + 21.6398i 0.813771 + 0.752036i
\(829\) 37.5509 + 21.6800i 1.30420 + 0.752978i 0.981121 0.193396i \(-0.0619501\pi\)
0.323075 + 0.946373i \(0.395283\pi\)
\(830\) −0.302513 + 0.0297738i −0.0105004 + 0.00103346i
\(831\) −11.1487 + 0.585815i −0.386745 + 0.0203217i
\(832\) −55.0438 + 3.58481i −1.90830 + 0.124281i
\(833\) −25.7277 + 21.5550i −0.891410 + 0.746835i
\(834\) −23.6976 29.6548i −0.820582 1.02686i
\(835\) 1.03954 1.80054i 0.0359749 0.0623103i
\(836\) −8.04990 2.73381i −0.278411 0.0945509i
\(837\) 8.80822 + 10.8681i 0.304457 + 0.375656i
\(838\) 3.05980 + 4.27057i 0.105699 + 0.147525i
\(839\) −0.776590 1.34509i −0.0268109 0.0464378i 0.852309 0.523039i \(-0.175202\pi\)
−0.879120 + 0.476601i \(0.841869\pi\)
\(840\) −1.88222 1.32533i −0.0649427 0.0457284i
\(841\) −21.7464 + 37.6659i −0.749877 + 1.29883i
\(842\) 20.2141 1.98951i 0.696625 0.0685629i
\(843\) 11.2414 + 17.3050i 0.387174 + 0.596016i
\(844\) −31.7130 + 6.30355i −1.09161 + 0.216977i
\(845\) −3.06738 5.31285i −0.105521 0.182768i
\(846\) −31.9388 + 28.3933i −1.09808 + 0.976181i
\(847\) 14.9657 + 21.3904i 0.514227 + 0.734983i
\(848\) 36.2540 + 27.8346i 1.24497 + 0.955843i
\(849\) 3.49919 2.27308i 0.120092 0.0780121i
\(850\) 19.6222 + 27.3867i 0.673035 + 0.939356i
\(851\) 11.8895 6.86441i 0.407567 0.235309i
\(852\) 4.68271 4.56169i 0.160427 0.156281i
\(853\) −30.1855 + 17.4276i −1.03353 + 0.596710i −0.917995 0.396593i \(-0.870192\pi\)
−0.115538 + 0.993303i \(0.536859\pi\)
\(854\) 12.7535 36.2144i 0.436417 1.23923i
\(855\) −1.25120 1.72114i −0.0427902 0.0588617i
\(856\) 2.90086 + 2.71808i 0.0991492 + 0.0929020i
\(857\) 27.7990i 0.949595i −0.880095 0.474797i \(-0.842521\pi\)
0.880095 0.474797i \(-0.157479\pi\)
\(858\) −11.2223 14.0433i −0.383122 0.479432i
\(859\) −30.7593 −1.04949 −0.524747 0.851258i \(-0.675840\pi\)
−0.524747 + 0.851258i \(0.675840\pi\)
\(860\) 0.695957 2.04929i 0.0237319 0.0698803i
\(861\) 30.5131 4.28086i 1.03988 0.145891i
\(862\) −16.2230 + 11.6235i −0.552556 + 0.395898i
\(863\) −26.5232 45.9395i −0.902860 1.56380i −0.823764 0.566933i \(-0.808130\pi\)
−0.0790960 0.996867i \(-0.525203\pi\)
\(864\) −27.0830 11.4243i −0.921381 0.388661i
\(865\) −1.82908 + 3.16805i −0.0621904 + 0.107717i
\(866\) 15.2263 + 6.90024i 0.517412 + 0.234480i
\(867\) −8.70096 + 5.65217i −0.295500 + 0.191958i
\(868\) −3.97938 13.6789i −0.135069 0.464293i
\(869\) 5.70738 9.88548i 0.193610 0.335342i
\(870\) −3.66212 + 0.555733i −0.124157 + 0.0188411i
\(871\) 12.0856i 0.409506i
\(872\) −4.01510 + 17.2037i −0.135968 + 0.582590i
\(873\) 20.8333 + 28.6580i 0.705099 + 0.969925i
\(874\) −2.93973 29.8687i −0.0994377 1.01032i
\(875\) 2.68526 + 3.83804i 0.0907785 + 0.129749i
\(876\) 5.27128 + 20.7558i 0.178100 + 0.701274i
\(877\) 4.97513i 0.167998i −0.996466 0.0839991i \(-0.973231\pi\)
0.996466 0.0839991i \(-0.0267693\pi\)
\(878\) 1.23657 + 1.72588i 0.0417321 + 0.0582456i
\(879\) 3.77973 + 1.92522i 0.127487 + 0.0649359i
\(880\) −0.749649 0.0989042i −0.0252707 0.00333406i
\(881\) 17.9692i 0.605399i 0.953086 + 0.302699i \(0.0978878\pi\)
−0.953086 + 0.302699i \(0.902112\pi\)
\(882\) −18.4498 + 23.2724i −0.621237 + 0.783623i
\(883\) −10.4031 −0.350091 −0.175045 0.984560i \(-0.556007\pi\)
−0.175045 + 0.984560i \(0.556007\pi\)
\(884\) −21.2626 + 62.6092i −0.715139 + 2.10578i
\(885\) −0.159604 0.245694i −0.00536502 0.00825893i
\(886\) 1.01310 + 1.41398i 0.0340357 + 0.0475037i
\(887\) 53.4355 1.79419 0.897094 0.441841i \(-0.145674\pi\)
0.897094 + 0.441841i \(0.145674\pi\)
\(888\) −8.15727 + 9.67712i −0.273740 + 0.324743i
\(889\) 17.7733 12.4350i 0.596097 0.417056i
\(890\) −1.95461 + 0.192376i −0.0655187 + 0.00644845i
\(891\) −1.99680 9.36889i −0.0668953 0.313870i
\(892\) 36.3064 + 12.3300i 1.21563 + 0.412837i
\(893\) 40.2269 1.34614
\(894\) 11.0463 28.2288i 0.369444 0.944112i
\(895\) −1.18857 0.686221i −0.0397295 0.0229378i
\(896\) 20.9154 + 21.4137i 0.698735 + 0.715381i
\(897\) 28.8040 56.5502i 0.961736 1.88816i
\(898\) −17.8112 + 39.3030i −0.594369 + 1.31156i
\(899\) −19.8514 11.4612i −0.662082 0.382253i
\(900\) 21.8935 + 20.2326i 0.729782 + 0.674419i
\(901\) 47.4487 27.3945i 1.58075 0.912644i
\(902\) 8.22710 5.89460i 0.273933 0.196269i
\(903\) −25.8855 10.4657i −0.861415 0.348275i
\(904\) 9.52325 40.8047i 0.316739 1.35714i
\(905\) 1.27778i 0.0424749i
\(906\) −20.5101 8.02587i −0.681401 0.266642i
\(907\) −33.2499 −1.10405 −0.552023 0.833829i \(-0.686144\pi\)
−0.552023 + 0.833829i \(0.686144\pi\)
\(908\) −16.0361 + 14.0593i −0.532176 + 0.466576i
\(909\) −4.11020 + 0.433141i −0.136327 + 0.0143664i
\(910\) −1.52201 + 4.32182i −0.0504540 + 0.143267i
\(911\) −11.0891 19.2068i −0.367397 0.636350i 0.621761 0.783207i \(-0.286418\pi\)
−0.989158 + 0.146857i \(0.953084\pi\)
\(912\) 11.9083 + 24.9752i 0.394322 + 0.827010i
\(913\) 0.644068 + 1.11556i 0.0213155 + 0.0369196i
\(914\) 7.48838 5.36532i 0.247694 0.177469i
\(915\) 1.43267 2.81274i 0.0473628 0.0929862i
\(916\) −19.3277 + 16.9452i −0.638605 + 0.559885i
\(917\) 26.8255 18.7684i 0.885858 0.619786i
\(918\) −25.0687 + 24.7597i −0.827390 + 0.817190i
\(919\) −14.5184 + 8.38221i −0.478918 + 0.276504i −0.719966 0.694010i \(-0.755842\pi\)
0.241047 + 0.970513i \(0.422509\pi\)
\(920\) −0.774371 2.55467i −0.0255303 0.0842249i
\(921\) 2.17691 + 41.4290i 0.0717315 + 1.36513i
\(922\) 2.46896 + 25.0856i 0.0813109 + 0.826149i
\(923\) −11.2688 6.50606i −0.370918 0.214150i
\(924\) −1.82319 + 9.58321i −0.0599786 + 0.315265i
\(925\) 11.1163 6.41801i 0.365502 0.211023i
\(926\) 5.39630 + 7.53162i 0.177333 + 0.247504i
\(927\) 4.27524 + 40.5690i 0.140417 + 1.33246i
\(928\) 48.1377 + 1.59254i 1.58020 + 0.0522776i
\(929\) −13.0231 7.51888i −0.427274 0.246686i 0.270911 0.962604i \(-0.412675\pi\)
−0.698184 + 0.715918i \(0.746008\pi\)
\(930\) −0.175724 1.15797i −0.00576223 0.0379714i
\(931\) 27.5345 4.83363i 0.902408 0.158416i
\(932\) 42.3321 + 14.3764i 1.38663 + 0.470913i
\(933\) −10.6646 + 6.92776i −0.349144 + 0.226805i
\(934\) −21.4914 + 2.11522i −0.703220 + 0.0692120i
\(935\) −0.453198 + 0.784962i −0.0148212 + 0.0256710i
\(936\) −7.25292 + 58.0552i −0.237069 + 1.89759i
\(937\) −28.0665 −0.916894 −0.458447 0.888722i \(-0.651594\pi\)
−0.458447 + 0.888722i \(0.651594\pi\)
\(938\) −4.97963 + 4.26796i −0.162591 + 0.139354i
\(939\) 30.4512 + 15.5104i 0.993737 + 0.506162i
\(940\) 3.50925 0.697529i 0.114459 0.0227509i
\(941\) 1.55290 + 2.68970i 0.0506230 + 0.0876817i 0.890227 0.455518i \(-0.150546\pi\)
−0.839603 + 0.543200i \(0.817213\pi\)
\(942\) −4.29602 28.3095i −0.139972 0.922374i
\(943\) 30.9432 + 17.8650i 1.00765 + 0.581766i
\(944\) 1.45693 + 3.52009i 0.0474190 + 0.114569i
\(945\) −1.75632 + 1.69617i −0.0571331 + 0.0551766i
\(946\) −9.12719 + 0.898312i −0.296750 + 0.0292066i
\(947\) −32.7209 18.8914i −1.06329 0.613889i −0.136947 0.990578i \(-0.543729\pi\)
−0.926339 + 0.376690i \(0.877062\pi\)
\(948\) −36.0075 + 9.14470i −1.16947 + 0.297006i
\(949\) 36.9139 21.3122i 1.19828 0.691825i
\(950\) −2.74855 27.9263i −0.0891748 0.906050i
\(951\) −13.7891 7.02349i −0.447141 0.227752i
\(952\) 33.3055 13.3492i 1.07944 0.432651i
\(953\) 11.1238i 0.360337i −0.983636 0.180168i \(-0.942336\pi\)
0.983636 0.180168i \(-0.0576642\pi\)
\(954\) 36.2321 32.2100i 1.17306 1.04284i
\(955\) 0.536777 0.929726i 0.0173697 0.0300852i
\(956\) −25.8232 + 5.13283i −0.835181 + 0.166008i
\(957\) 8.55069 + 13.1629i 0.276404 + 0.425498i
\(958\) 37.6747 + 17.0733i 1.21721 + 0.551614i
\(959\) −14.7300 + 10.3058i −0.475657 + 0.332791i
\(960\) 1.47190 + 1.97226i 0.0475054 + 0.0636544i
\(961\) −11.8759 + 20.5697i −0.383094 + 0.663539i
\(962\) 22.9457 + 10.3985i 0.739799 + 0.335260i
\(963\) 3.41048 2.47929i 0.109901 0.0798941i
\(964\) −16.5868 18.9189i −0.534225 0.609337i
\(965\) 0.170102 + 0.294625i 0.00547578 + 0.00948433i
\(966\) −33.4722 + 8.10227i −1.07695 + 0.260686i
\(967\) −27.2608 15.7390i −0.876648 0.506133i −0.00709614 0.999975i \(-0.502259\pi\)
−0.869552 + 0.493842i \(0.835592\pi\)
\(968\) −8.09585 26.7084i −0.260210 0.858440i
\(969\) 33.1212 1.74037i 1.06400 0.0559087i
\(970\) −0.290548 2.95208i −0.00932893 0.0947855i
\(971\) 38.1587 22.0309i 1.22457 0.707006i 0.258681 0.965963i \(-0.416712\pi\)
0.965889 + 0.258957i \(0.0833789\pi\)
\(972\) −17.3067 + 25.9322i −0.555114 + 0.831774i
\(973\) 40.8472 3.55811i 1.30950 0.114068i
\(974\) −14.3360 20.0088i −0.459356 0.641124i
\(975\) 26.9308 52.8726i 0.862476 1.69328i
\(976\) −24.9959 + 32.5566i −0.800098 + 1.04211i
\(977\) −46.9235 + 27.0913i −1.50122 + 0.866728i −0.501217 + 0.865322i \(0.667114\pi\)
−0.999999 + 0.00140591i \(0.999552\pi\)
\(978\) −38.5718 + 5.85334i −1.23339 + 0.187169i
\(979\) 4.16148 + 7.20789i 0.133001 + 0.230365i
\(980\) 2.31820 0.899115i 0.0740523 0.0287212i
\(981\) 17.1198 + 7.61658i 0.546592 + 0.243179i
\(982\) 20.7082 + 28.9025i 0.660826 + 0.922317i
\(983\) 1.12669 0.0359358 0.0179679 0.999839i \(-0.494280\pi\)
0.0179679 + 0.999839i \(0.494280\pi\)
\(984\) −32.4260 5.79289i −1.03370 0.184671i
\(985\) −1.06900 −0.0340611
\(986\) 23.8311 52.5866i 0.758936 1.67470i
\(987\) −6.41309 45.7112i −0.204131 1.45500i
\(988\) 41.4110 36.3064i 1.31746 1.15506i
\(989\) −16.1889 28.0400i −0.514777 0.891621i
\(990\) −0.252666 + 0.761173i −0.00803025 + 0.0241917i
\(991\) −3.38453 1.95406i −0.107513 0.0620728i 0.445279 0.895392i \(-0.353104\pi\)
−0.552792 + 0.833319i \(0.686438\pi\)
\(992\) −0.503565 + 15.2213i −0.0159882 + 0.483276i
\(993\) 17.2661 + 8.79452i 0.547923 + 0.279086i
\(994\) 1.29883 + 6.94065i 0.0411964 + 0.220144i
\(995\) −2.11521 1.22122i −0.0670568 0.0387153i
\(996\) 1.13798 4.03497i 0.0360584 0.127853i
\(997\) 33.0676i 1.04726i −0.851945 0.523631i \(-0.824577\pi\)
0.851945 0.523631i \(-0.175423\pi\)
\(998\) −20.1912 9.15022i −0.639143 0.289645i
\(999\) 8.45247 + 10.4291i 0.267424 + 0.329963i
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 504.2.cy.a.347.14 yes 184
7.2 even 3 504.2.bt.a.275.50 yes 184
8.3 odd 2 inner 504.2.cy.a.347.19 yes 184
9.2 odd 6 504.2.bt.a.11.43 184
56.51 odd 6 504.2.bt.a.275.43 yes 184
63.2 odd 6 inner 504.2.cy.a.443.19 yes 184
72.11 even 6 504.2.bt.a.11.50 yes 184
504.443 even 6 inner 504.2.cy.a.443.14 yes 184
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
504.2.bt.a.11.43 184 9.2 odd 6
504.2.bt.a.11.50 yes 184 72.11 even 6
504.2.bt.a.275.43 yes 184 56.51 odd 6
504.2.bt.a.275.50 yes 184 7.2 even 3
504.2.cy.a.347.14 yes 184 1.1 even 1 trivial
504.2.cy.a.347.19 yes 184 8.3 odd 2 inner
504.2.cy.a.443.14 yes 184 504.443 even 6 inner
504.2.cy.a.443.19 yes 184 63.2 odd 6 inner