Properties

Label 201.2.j.a.5.12
Level $201$
Weight $2$
Character 201.5
Analytic conductor $1.605$
Analytic rank $0$
Dimension $200$
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] = [201,2,Mod(5,201)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(201, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("201.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 201 = 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 201.j (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.60499308063\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(20\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.12
Character \(\chi\) \(=\) 201.5
Dual form 201.2.j.a.161.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.401105 - 0.462899i) q^{2} +(0.953911 + 1.44570i) q^{3} +(0.231239 + 1.60830i) q^{4} +(2.18653 - 0.642023i) q^{5} +(1.05183 + 0.138313i) q^{6} +(-3.07269 - 2.66251i) q^{7} +(1.86777 + 1.20035i) q^{8} +(-1.18011 + 2.75814i) q^{9} +O(q^{10})\) \(q+(0.401105 - 0.462899i) q^{2} +(0.953911 + 1.44570i) q^{3} +(0.231239 + 1.60830i) q^{4} +(2.18653 - 0.642023i) q^{5} +(1.05183 + 0.138313i) q^{6} +(-3.07269 - 2.66251i) q^{7} +(1.86777 + 1.20035i) q^{8} +(-1.18011 + 2.75814i) q^{9} +(0.579835 - 1.26966i) q^{10} +(0.587185 - 0.172413i) q^{11} +(-2.10454 + 1.86848i) q^{12} +(0.139564 + 0.217166i) q^{13} +(-2.46494 + 0.354405i) q^{14} +(3.01393 + 2.54864i) q^{15} +(-1.81323 + 0.532413i) q^{16} +(0.147024 + 0.0211388i) q^{17} +(0.803396 + 1.65257i) q^{18} +(-2.28901 - 2.64165i) q^{19} +(1.53818 + 3.36814i) q^{20} +(0.918111 - 6.98199i) q^{21} +(0.155713 - 0.340963i) q^{22} +(3.15125 - 1.43913i) q^{23} +(0.0463489 + 3.84527i) q^{24} +(0.162456 - 0.104404i) q^{25} +(0.156506 + 0.0225022i) q^{26} +(-5.11317 + 0.924939i) q^{27} +(3.57158 - 5.55749i) q^{28} -3.72105i q^{29} +(2.38866 - 0.372876i) q^{30} +(3.89146 - 6.05523i) q^{31} +(-2.32547 + 5.09208i) q^{32} +(0.809380 + 0.684427i) q^{33} +(0.0687571 - 0.0595784i) q^{34} +(-8.42793 - 3.84891i) q^{35} +(-4.70881 - 1.26018i) q^{36} +4.66446 q^{37} -2.14095 q^{38} +(-0.180826 + 0.408926i) q^{39} +(4.85460 + 1.42544i) q^{40} +(1.20470 - 8.37888i) q^{41} +(-2.86370 - 3.22550i) q^{42} +(-8.87907 - 1.27662i) q^{43} +(0.413072 + 0.904501i) q^{44} +(-0.809549 + 6.78842i) q^{45} +(0.597811 - 2.03596i) q^{46} +(-11.2414 + 5.13376i) q^{47} +(-2.49937 - 2.11352i) q^{48} +(1.35632 + 9.43338i) q^{49} +(0.0168333 - 0.117078i) q^{50} +(0.109687 + 0.232717i) q^{51} +(-0.316996 + 0.274679i) q^{52} +(1.84277 + 12.8168i) q^{53} +(-1.62276 + 2.73788i) q^{54} +(1.17320 - 0.753973i) q^{55} +(-2.54317 - 8.66125i) q^{56} +(1.63554 - 5.82912i) q^{57} +(-1.72247 - 1.49253i) q^{58} +(2.40667 - 3.74484i) q^{59} +(-3.40204 + 5.43665i) q^{60} +(-2.24355 + 7.64083i) q^{61} +(-1.24208 - 4.23013i) q^{62} +(10.9697 - 5.33289i) q^{63} +(-0.145725 - 0.319094i) q^{64} +(0.444588 + 0.385238i) q^{65} +(0.641467 - 0.100134i) q^{66} +(6.48838 + 4.99008i) q^{67} +0.241347i q^{68} +(5.08657 + 3.18297i) q^{69} +(-5.16214 + 2.35747i) q^{70} +(11.9318 - 1.71554i) q^{71} +(-5.51490 + 3.73505i) q^{72} +(-10.5340 - 3.09305i) q^{73} +(1.87094 - 2.15918i) q^{74} +(0.305906 + 0.135271i) q^{75} +(3.71927 - 4.29226i) q^{76} +(-2.26329 - 1.03361i) q^{77} +(0.116762 + 0.247726i) q^{78} +(-6.29900 - 9.80143i) q^{79} +(-3.62286 + 2.32827i) q^{80} +(-6.21469 - 6.50981i) q^{81} +(-3.39537 - 3.91846i) q^{82} +(0.724797 + 2.46843i) q^{83} +(11.4414 - 0.137909i) q^{84} +(0.335044 - 0.0481721i) q^{85} +(-4.15238 + 3.59806i) q^{86} +(5.37953 - 3.54955i) q^{87} +(1.30368 + 0.382796i) q^{88} +(5.23749 + 2.39188i) q^{89} +(2.81764 + 3.09761i) q^{90} +(0.149368 - 1.03888i) q^{91} +(3.04325 + 4.73538i) q^{92} +(12.4662 - 0.150261i) q^{93} +(-2.13255 + 7.26279i) q^{94} +(-6.70099 - 4.30646i) q^{95} +(-9.57992 + 1.49545i) q^{96} -0.463139i q^{97} +(4.91073 + 3.15593i) q^{98} +(-0.217401 + 1.82300i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 11 q^{3} - 34 q^{4} - 7 q^{6} - 22 q^{7} + 3 q^{9} - 10 q^{10} - 44 q^{12} - 22 q^{13} - 13 q^{15} - 34 q^{16} - 11 q^{18} - 24 q^{19} + 43 q^{21} - 82 q^{22} + 53 q^{24} - 18 q^{25} - 11 q^{27} - 110 q^{28} + 22 q^{31} - 32 q^{33} - 22 q^{34} + 33 q^{36} - 68 q^{37} - 69 q^{39} + 10 q^{40} - 11 q^{42} - 44 q^{43} + 99 q^{45} + 66 q^{46} + 99 q^{48} + 26 q^{49} - 11 q^{51} + 176 q^{52} - 128 q^{54} + 30 q^{55} - 11 q^{57} + 66 q^{58} + 5 q^{60} - 110 q^{61} - 11 q^{63} + 170 q^{64} - 32 q^{67} - 11 q^{69} - 66 q^{70} - 121 q^{72} + 150 q^{73} - 22 q^{75} - 94 q^{76} - 11 q^{78} + 132 q^{79} + 63 q^{81} + 76 q^{82} - 101 q^{84} - 22 q^{85} + 88 q^{87} - 114 q^{88} - 85 q^{90} - 174 q^{91} - 75 q^{93} + 22 q^{94} - 250 q^{96} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).

\(n\) \(68\) \(136\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.401105 0.462899i 0.283624 0.327319i −0.596004 0.802981i \(-0.703246\pi\)
0.879628 + 0.475662i \(0.157791\pi\)
\(3\) 0.953911 + 1.44570i 0.550741 + 0.834676i
\(4\) 0.231239 + 1.60830i 0.115619 + 0.804150i
\(5\) 2.18653 0.642023i 0.977846 0.287122i 0.246511 0.969140i \(-0.420716\pi\)
0.731335 + 0.682018i \(0.238898\pi\)
\(6\) 1.05183 + 0.138313i 0.429409 + 0.0564660i
\(7\) −3.07269 2.66251i −1.16137 1.00633i −0.999810 0.0194693i \(-0.993802\pi\)
−0.161559 0.986863i \(-0.551652\pi\)
\(8\) 1.86777 + 1.20035i 0.660358 + 0.424386i
\(9\) −1.18011 + 2.75814i −0.393369 + 0.919381i
\(10\) 0.579835 1.26966i 0.183360 0.401503i
\(11\) 0.587185 0.172413i 0.177043 0.0519845i −0.192010 0.981393i \(-0.561500\pi\)
0.369052 + 0.929409i \(0.379682\pi\)
\(12\) −2.10454 + 1.86848i −0.607529 + 0.539383i
\(13\) 0.139564 + 0.217166i 0.0387082 + 0.0602311i 0.860068 0.510179i \(-0.170421\pi\)
−0.821360 + 0.570410i \(0.806784\pi\)
\(14\) −2.46494 + 0.354405i −0.658784 + 0.0947188i
\(15\) 3.01393 + 2.54864i 0.778194 + 0.658056i
\(16\) −1.81323 + 0.532413i −0.453308 + 0.133103i
\(17\) 0.147024 + 0.0211388i 0.0356585 + 0.00512692i 0.160121 0.987097i \(-0.448812\pi\)
−0.124462 + 0.992224i \(0.539721\pi\)
\(18\) 0.803396 + 1.65257i 0.189362 + 0.389516i
\(19\) −2.28901 2.64165i −0.525134 0.606037i 0.429775 0.902936i \(-0.358593\pi\)
−0.954909 + 0.296899i \(0.904047\pi\)
\(20\) 1.53818 + 3.36814i 0.343947 + 0.753139i
\(21\) 0.918111 6.98199i 0.200348 1.52360i
\(22\) 0.155713 0.340963i 0.0331980 0.0726936i
\(23\) 3.15125 1.43913i 0.657082 0.300079i −0.0588318 0.998268i \(-0.518738\pi\)
0.715914 + 0.698189i \(0.246010\pi\)
\(24\) 0.0463489 + 3.84527i 0.00946092 + 0.784912i
\(25\) 0.162456 0.104404i 0.0324912 0.0208809i
\(26\) 0.156506 + 0.0225022i 0.0306934 + 0.00441304i
\(27\) −5.11317 + 0.924939i −0.984030 + 0.178005i
\(28\) 3.57158 5.55749i 0.674966 1.05027i
\(29\) 3.72105i 0.690981i −0.938422 0.345491i \(-0.887712\pi\)
0.938422 0.345491i \(-0.112288\pi\)
\(30\) 2.38866 0.372876i 0.436109 0.0680776i
\(31\) 3.89146 6.05523i 0.698926 1.08755i −0.292421 0.956290i \(-0.594461\pi\)
0.991348 0.131261i \(-0.0419027\pi\)
\(32\) −2.32547 + 5.09208i −0.411090 + 0.900161i
\(33\) 0.809380 + 0.684427i 0.140895 + 0.119143i
\(34\) 0.0687571 0.0595784i 0.0117918 0.0102176i
\(35\) −8.42793 3.84891i −1.42458 0.650584i
\(36\) −4.70881 1.26018i −0.784801 0.210030i
\(37\) 4.66446 0.766833 0.383416 0.923576i \(-0.374747\pi\)
0.383416 + 0.923576i \(0.374747\pi\)
\(38\) −2.14095 −0.347308
\(39\) −0.180826 + 0.408926i −0.0289553 + 0.0654806i
\(40\) 4.85460 + 1.42544i 0.767579 + 0.225382i
\(41\) 1.20470 8.37888i 0.188143 1.30856i −0.648669 0.761071i \(-0.724674\pi\)
0.836812 0.547491i \(-0.184417\pi\)
\(42\) −2.86370 3.22550i −0.441879 0.497706i
\(43\) −8.87907 1.27662i −1.35404 0.194682i −0.573204 0.819413i \(-0.694300\pi\)
−0.780841 + 0.624730i \(0.785209\pi\)
\(44\) 0.413072 + 0.904501i 0.0622729 + 0.136359i
\(45\) −0.809549 + 6.78842i −0.120680 + 1.01196i
\(46\) 0.597811 2.03596i 0.0881424 0.300185i
\(47\) −11.2414 + 5.13376i −1.63972 + 0.748835i −0.999808 0.0196119i \(-0.993757\pi\)
−0.639913 + 0.768447i \(0.721030\pi\)
\(48\) −2.49937 2.11352i −0.360753 0.305060i
\(49\) 1.35632 + 9.43338i 0.193759 + 1.34763i
\(50\) 0.0168333 0.117078i 0.00238058 0.0165573i
\(51\) 0.109687 + 0.232717i 0.0153593 + 0.0325869i
\(52\) −0.316996 + 0.274679i −0.0439595 + 0.0380911i
\(53\) 1.84277 + 12.8168i 0.253124 + 1.76052i 0.579212 + 0.815177i \(0.303360\pi\)
−0.326088 + 0.945339i \(0.605731\pi\)
\(54\) −1.62276 + 2.73788i −0.220830 + 0.372578i
\(55\) 1.17320 0.753973i 0.158195 0.101666i
\(56\) −2.54317 8.66125i −0.339846 1.15741i
\(57\) 1.63554 5.82912i 0.216632 0.772086i
\(58\) −1.72247 1.49253i −0.226172 0.195979i
\(59\) 2.40667 3.74484i 0.313321 0.487537i −0.648501 0.761214i \(-0.724604\pi\)
0.961822 + 0.273677i \(0.0882399\pi\)
\(60\) −3.40204 + 5.43665i −0.439201 + 0.701869i
\(61\) −2.24355 + 7.64083i −0.287257 + 0.978308i 0.681814 + 0.731526i \(0.261191\pi\)
−0.969071 + 0.246782i \(0.920627\pi\)
\(62\) −1.24208 4.23013i −0.157744 0.537227i
\(63\) 10.9697 5.33289i 1.38205 0.671881i
\(64\) −0.145725 0.319094i −0.0182157 0.0398867i
\(65\) 0.444588 + 0.385238i 0.0551443 + 0.0477828i
\(66\) 0.641467 0.100134i 0.0789591 0.0123257i
\(67\) 6.48838 + 4.99008i 0.792682 + 0.609635i
\(68\) 0.241347i 0.0292676i
\(69\) 5.08657 + 3.18297i 0.612351 + 0.383185i
\(70\) −5.16214 + 2.35747i −0.616994 + 0.281772i
\(71\) 11.9318 1.71554i 1.41605 0.203597i 0.608571 0.793499i \(-0.291743\pi\)
0.807474 + 0.589903i \(0.200834\pi\)
\(72\) −5.51490 + 3.73505i −0.649937 + 0.440180i
\(73\) −10.5340 3.09305i −1.23291 0.362014i −0.400561 0.916270i \(-0.631185\pi\)
−0.832346 + 0.554256i \(0.813003\pi\)
\(74\) 1.87094 2.15918i 0.217492 0.250999i
\(75\) 0.305906 + 0.135271i 0.0353230 + 0.0156197i
\(76\) 3.71927 4.29226i 0.426629 0.492356i
\(77\) −2.26329 1.03361i −0.257926 0.117791i
\(78\) 0.116762 + 0.247726i 0.0132206 + 0.0280495i
\(79\) −6.29900 9.80143i −0.708692 1.10275i −0.989716 0.143046i \(-0.954310\pi\)
0.281024 0.959701i \(-0.409326\pi\)
\(80\) −3.62286 + 2.32827i −0.405049 + 0.260309i
\(81\) −6.21469 6.50981i −0.690522 0.723312i
\(82\) −3.39537 3.91846i −0.374956 0.432722i
\(83\) 0.724797 + 2.46843i 0.0795568 + 0.270946i 0.989659 0.143437i \(-0.0458156\pi\)
−0.910103 + 0.414383i \(0.863997\pi\)
\(84\) 11.4414 0.137909i 1.24836 0.0150471i
\(85\) 0.335044 0.0481721i 0.0363406 0.00522499i
\(86\) −4.15238 + 3.59806i −0.447763 + 0.387989i
\(87\) 5.37953 3.54955i 0.576746 0.380552i
\(88\) 1.30368 + 0.382796i 0.138973 + 0.0408062i
\(89\) 5.23749 + 2.39188i 0.555172 + 0.253539i 0.673186 0.739473i \(-0.264925\pi\)
−0.118014 + 0.993012i \(0.537653\pi\)
\(90\) 2.81764 + 3.09761i 0.297006 + 0.326516i
\(91\) 0.149368 1.03888i 0.0156580 0.108904i
\(92\) 3.04325 + 4.73538i 0.317280 + 0.493698i
\(93\) 12.4662 0.150261i 1.29268 0.0155813i
\(94\) −2.13255 + 7.26279i −0.219956 + 0.749100i
\(95\) −6.70099 4.30646i −0.687507 0.441834i
\(96\) −9.57992 + 1.49545i −0.977746 + 0.152628i
\(97\) 0.463139i 0.0470246i −0.999724 0.0235123i \(-0.992515\pi\)
0.999724 0.0235123i \(-0.00748489\pi\)
\(98\) 4.91073 + 3.15593i 0.496059 + 0.318798i
\(99\) −0.217401 + 1.82300i −0.0218497 + 0.183219i
\(100\) 0.205480 + 0.237136i 0.0205480 + 0.0237136i
\(101\) 11.5565 + 13.3369i 1.14991 + 1.32707i 0.936729 + 0.350055i \(0.113837\pi\)
0.213182 + 0.977013i \(0.431617\pi\)
\(102\) 0.151721 + 0.0425698i 0.0150226 + 0.00421504i
\(103\) −1.40682 0.904111i −0.138619 0.0890847i 0.469494 0.882936i \(-0.344437\pi\)
−0.608112 + 0.793851i \(0.708073\pi\)
\(104\) 0.573143i 0.0562013i
\(105\) −2.47513 15.8558i −0.241548 1.54737i
\(106\) 6.67201 + 4.28784i 0.648043 + 0.416472i
\(107\) 2.70816 9.22316i 0.261808 0.891636i −0.718727 0.695292i \(-0.755275\pi\)
0.980535 0.196344i \(-0.0629069\pi\)
\(108\) −2.66994 8.00963i −0.256915 0.770727i
\(109\) 5.69335 + 8.85902i 0.545324 + 0.848541i 0.999093 0.0425786i \(-0.0135573\pi\)
−0.453769 + 0.891119i \(0.649921\pi\)
\(110\) 0.121564 0.845498i 0.0115907 0.0806150i
\(111\) 4.44948 + 6.74342i 0.422326 + 0.640057i
\(112\) 6.98906 + 3.19180i 0.660404 + 0.301596i
\(113\) 8.96143 + 2.63131i 0.843021 + 0.247533i 0.674601 0.738182i \(-0.264316\pi\)
0.168419 + 0.985715i \(0.446134\pi\)
\(114\) −2.04228 3.09518i −0.191277 0.289890i
\(115\) 5.96636 5.16988i 0.556366 0.482094i
\(116\) 5.98457 0.860451i 0.555653 0.0798908i
\(117\) −0.763677 + 0.128659i −0.0706019 + 0.0118945i
\(118\) −0.768162 2.61612i −0.0707150 0.240833i
\(119\) −0.395477 0.456405i −0.0362533 0.0418386i
\(120\) 2.57010 + 8.37804i 0.234617 + 0.764807i
\(121\) −8.93873 + 5.74457i −0.812612 + 0.522234i
\(122\) 2.63704 + 4.10331i 0.238746 + 0.371496i
\(123\) 13.2625 6.25107i 1.19584 0.563640i
\(124\) 10.6385 + 4.85843i 0.955364 + 0.436300i
\(125\) −7.17343 + 8.27858i −0.641611 + 0.740459i
\(126\) 1.93140 7.21690i 0.172063 0.642933i
\(127\) −9.24689 + 10.6715i −0.820529 + 0.946941i −0.999317 0.0369469i \(-0.988237\pi\)
0.178789 + 0.983888i \(0.442782\pi\)
\(128\) −10.9486 3.21478i −0.967724 0.284150i
\(129\) −6.62423 14.0543i −0.583231 1.23741i
\(130\) 0.356652 0.0512789i 0.0312805 0.00449746i
\(131\) −8.93972 + 4.08263i −0.781067 + 0.356701i −0.765714 0.643181i \(-0.777614\pi\)
−0.0153524 + 0.999882i \(0.504887\pi\)
\(132\) −0.913605 + 1.45999i −0.0795191 + 0.127076i
\(133\) 14.2115i 1.23229i
\(134\) 4.91243 1.00192i 0.424369 0.0865531i
\(135\) −10.5863 + 5.30518i −0.911121 + 0.456597i
\(136\) 0.249234 + 0.215962i 0.0213716 + 0.0185186i
\(137\) 3.38342 + 7.40865i 0.289065 + 0.632963i 0.997333 0.0729795i \(-0.0232508\pi\)
−0.708269 + 0.705943i \(0.750524\pi\)
\(138\) 3.51364 1.07787i 0.299101 0.0917540i
\(139\) 4.93654 + 16.8123i 0.418712 + 1.42600i 0.851428 + 0.524471i \(0.175737\pi\)
−0.432717 + 0.901530i \(0.642445\pi\)
\(140\) 4.24134 14.4447i 0.358458 1.22080i
\(141\) −18.1451 11.3545i −1.52810 0.956222i
\(142\) 3.99178 6.21134i 0.334983 0.521244i
\(143\) 0.119392 + 0.103454i 0.00998409 + 0.00865127i
\(144\) 0.671337 5.62945i 0.0559448 0.469121i
\(145\) −2.38900 8.13619i −0.198396 0.675674i
\(146\) −5.65699 + 3.63553i −0.468176 + 0.300879i
\(147\) −12.3440 + 10.9594i −1.01812 + 0.903919i
\(148\) 1.07860 + 7.50186i 0.0886607 + 0.616649i
\(149\) 0.0805576 0.0698036i 0.00659954 0.00571853i −0.651555 0.758602i \(-0.725883\pi\)
0.658154 + 0.752883i \(0.271337\pi\)
\(150\) 0.185317 0.0873461i 0.0151311 0.00713178i
\(151\) 0.0510441 0.355020i 0.00415391 0.0288911i −0.987639 0.156745i \(-0.949900\pi\)
0.991793 + 0.127854i \(0.0408089\pi\)
\(152\) −1.10445 7.68161i −0.0895826 0.623061i
\(153\) −0.231808 + 0.380567i −0.0187406 + 0.0307670i
\(154\) −1.38627 + 0.633090i −0.111709 + 0.0510158i
\(155\) 4.62120 15.7383i 0.371183 1.26413i
\(156\) −0.699490 0.196263i −0.0560040 0.0157136i
\(157\) −1.42377 3.11763i −0.113629 0.248814i 0.844270 0.535918i \(-0.180035\pi\)
−0.957899 + 0.287105i \(0.907307\pi\)
\(158\) −7.06363 1.01560i −0.561952 0.0807966i
\(159\) −16.7714 + 14.8901i −1.33006 + 1.18086i
\(160\) −1.81549 + 12.6270i −0.143527 + 0.998251i
\(161\) −13.5145 3.96823i −1.06509 0.312740i
\(162\) −5.50613 + 0.265665i −0.432602 + 0.0208726i
\(163\) −13.2072 −1.03447 −0.517233 0.855845i \(-0.673038\pi\)
−0.517233 + 0.855845i \(0.673038\pi\)
\(164\) 13.7543 1.07403
\(165\) 2.20915 + 0.976881i 0.171982 + 0.0760501i
\(166\) 1.43336 + 0.654592i 0.111250 + 0.0508062i
\(167\) 4.07434 3.53044i 0.315282 0.273193i −0.482815 0.875722i \(-0.660386\pi\)
0.798097 + 0.602529i \(0.205840\pi\)
\(168\) 10.0956 11.9387i 0.778895 0.921094i
\(169\) 5.37271 11.7646i 0.413286 0.904969i
\(170\) 0.112089 0.174414i 0.00859683 0.0133769i
\(171\) 9.98733 3.19597i 0.763750 0.244402i
\(172\) 14.5754i 1.11136i
\(173\) 7.56932 11.7781i 0.575485 0.895472i −0.424465 0.905444i \(-0.639538\pi\)
0.999950 + 0.00997206i \(0.00317426\pi\)
\(174\) 0.514669 3.91392i 0.0390169 0.296714i
\(175\) −0.777155 0.111738i −0.0587474 0.00844660i
\(176\) −0.972907 + 0.625249i −0.0733356 + 0.0471299i
\(177\) 7.70967 0.0929284i 0.579495 0.00698493i
\(178\) 3.20798 1.46504i 0.240448 0.109809i
\(179\) −5.78824 + 12.6745i −0.432634 + 0.947335i 0.560259 + 0.828318i \(0.310702\pi\)
−0.992892 + 0.119018i \(0.962026\pi\)
\(180\) −11.1050 + 0.267747i −0.827719 + 0.0199567i
\(181\) 4.86921 + 10.6621i 0.361925 + 0.792506i 0.999751 + 0.0223250i \(0.00710686\pi\)
−0.637825 + 0.770181i \(0.720166\pi\)
\(182\) −0.420983 0.485841i −0.0312054 0.0360129i
\(183\) −13.1865 + 4.04517i −0.974774 + 0.299027i
\(184\) 7.61329 + 1.09463i 0.561259 + 0.0806968i
\(185\) 10.1990 2.99469i 0.749845 0.220174i
\(186\) 4.93068 5.83085i 0.361535 0.427538i
\(187\) 0.0899748 0.0129364i 0.00657961 0.000946005i
\(188\) −10.8561 16.8924i −0.791760 1.23200i
\(189\) 18.1739 + 10.7718i 1.32195 + 0.783532i
\(190\) −4.68126 + 1.37454i −0.339614 + 0.0997197i
\(191\) −9.03085 + 19.7748i −0.653450 + 1.43086i 0.235052 + 0.971983i \(0.424474\pi\)
−0.888502 + 0.458872i \(0.848253\pi\)
\(192\) 0.322305 0.515062i 0.0232604 0.0371714i
\(193\) −2.54738 1.63710i −0.183365 0.117841i 0.445738 0.895163i \(-0.352941\pi\)
−0.629103 + 0.777322i \(0.716578\pi\)
\(194\) −0.214387 0.185767i −0.0153921 0.0133373i
\(195\) −0.132841 + 1.01022i −0.00951296 + 0.0723436i
\(196\) −14.8581 + 4.36273i −1.06129 + 0.311623i
\(197\) −1.25611 8.73646i −0.0894944 0.622447i −0.984368 0.176126i \(-0.943643\pi\)
0.894873 0.446320i \(-0.147266\pi\)
\(198\) 0.756667 + 0.831851i 0.0537740 + 0.0591170i
\(199\) 16.7480 19.3282i 1.18723 1.37014i 0.274495 0.961589i \(-0.411489\pi\)
0.912736 0.408549i \(-0.133965\pi\)
\(200\) 0.428753 0.0303174
\(201\) −1.02483 + 14.1404i −0.0722857 + 0.997384i
\(202\) 10.8090 0.760517
\(203\) −9.90731 + 11.4336i −0.695357 + 0.802485i
\(204\) −0.348915 + 0.230223i −0.0244290 + 0.0161189i
\(205\) −2.74532 19.0941i −0.191742 1.33359i
\(206\) −0.982796 + 0.288575i −0.0684747 + 0.0201060i
\(207\) 0.250506 + 10.3899i 0.0174114 + 0.722150i
\(208\) −0.368685 0.319467i −0.0255637 0.0221511i
\(209\) −1.79952 1.15648i −0.124476 0.0799957i
\(210\) −8.33242 5.21410i −0.574992 0.359807i
\(211\) −2.10359 + 4.60622i −0.144817 + 0.317105i −0.968116 0.250503i \(-0.919404\pi\)
0.823299 + 0.567608i \(0.192131\pi\)
\(212\) −20.1871 + 5.92746i −1.38645 + 0.407100i
\(213\) 13.8620 + 15.6134i 0.949811 + 1.06981i
\(214\) −3.18314 4.95306i −0.217595 0.338584i
\(215\) −20.2340 + 2.90921i −1.37995 + 0.198406i
\(216\) −10.6605 4.40999i −0.725355 0.300062i
\(217\) −28.0793 + 8.24484i −1.90615 + 0.559696i
\(218\) 6.38447 + 0.917948i 0.432411 + 0.0621713i
\(219\) −5.57684 18.1795i −0.376848 1.22845i
\(220\) 1.48391 + 1.71252i 0.100045 + 0.115458i
\(221\) 0.0159287 + 0.0348789i 0.00107148 + 0.00234621i
\(222\) 4.90623 + 0.645155i 0.329285 + 0.0432999i
\(223\) 5.09959 11.1666i 0.341494 0.747768i −0.658494 0.752586i \(-0.728806\pi\)
0.999988 + 0.00481796i \(0.00153361\pi\)
\(224\) 20.7032 9.45481i 1.38329 0.631726i
\(225\) 0.0962461 + 0.571286i 0.00641640 + 0.0380857i
\(226\) 4.81251 3.09281i 0.320123 0.205731i
\(227\) −15.5189 2.23128i −1.03003 0.148095i −0.393479 0.919334i \(-0.628729\pi\)
−0.636547 + 0.771238i \(0.719638\pi\)
\(228\) 9.75318 + 1.28251i 0.645920 + 0.0849365i
\(229\) 8.66063 13.4762i 0.572311 0.890533i −0.427599 0.903968i \(-0.640641\pi\)
0.999910 + 0.0134359i \(0.00427689\pi\)
\(230\) 4.83549i 0.318843i
\(231\) −0.664686 4.25801i −0.0437331 0.280157i
\(232\) 4.46654 6.95008i 0.293243 0.456295i
\(233\) 5.46276 11.9618i 0.357877 0.783642i −0.641979 0.766722i \(-0.721887\pi\)
0.999857 0.0169205i \(-0.00538621\pi\)
\(234\) −0.246758 + 0.405111i −0.0161311 + 0.0264829i
\(235\) −21.2836 + 18.4423i −1.38839 + 1.20305i
\(236\) 6.57935 + 3.00469i 0.428279 + 0.195589i
\(237\) 8.16126 18.4562i 0.530131 1.19886i
\(238\) −0.369898 −0.0239769
\(239\) −3.04898 −0.197222 −0.0986110 0.995126i \(-0.531440\pi\)
−0.0986110 + 0.995126i \(0.531440\pi\)
\(240\) −6.82188 3.01662i −0.440351 0.194722i
\(241\) 14.3575 + 4.21573i 0.924846 + 0.271559i 0.709277 0.704929i \(-0.249021\pi\)
0.215569 + 0.976489i \(0.430840\pi\)
\(242\) −0.926206 + 6.44191i −0.0595388 + 0.414101i
\(243\) 3.48297 15.1944i 0.223433 0.974719i
\(244\) −12.8075 1.84145i −0.819919 0.117887i
\(245\) 9.02208 + 19.7556i 0.576399 + 1.26214i
\(246\) 2.42605 8.64656i 0.154679 0.551284i
\(247\) 0.254215 0.865776i 0.0161753 0.0550880i
\(248\) 14.5367 6.63870i 0.923083 0.421558i
\(249\) −2.87723 + 3.40251i −0.182337 + 0.215625i
\(250\) 0.954854 + 6.64115i 0.0603902 + 0.420023i
\(251\) 3.36070 23.3742i 0.212126 1.47537i −0.553914 0.832574i \(-0.686866\pi\)
0.766040 0.642793i \(-0.222225\pi\)
\(252\) 11.1135 + 16.4094i 0.700085 + 1.03369i
\(253\) 1.60224 1.38835i 0.100732 0.0872850i
\(254\) 1.23085 + 8.56076i 0.0772305 + 0.537150i
\(255\) 0.389245 + 0.438422i 0.0243754 + 0.0274550i
\(256\) −5.28942 + 3.39931i −0.330589 + 0.212457i
\(257\) −1.43551 4.88890i −0.0895447 0.304961i 0.902527 0.430633i \(-0.141710\pi\)
−0.992072 + 0.125672i \(0.959891\pi\)
\(258\) −9.16272 2.57088i −0.570446 0.160056i
\(259\) −14.3325 12.4192i −0.890576 0.771689i
\(260\) −0.516772 + 0.804113i −0.0320488 + 0.0498690i
\(261\) 10.2632 + 4.39124i 0.635275 + 0.271811i
\(262\) −1.69591 + 5.77575i −0.104774 + 0.356827i
\(263\) 6.71906 + 22.8830i 0.414315 + 1.41103i 0.857447 + 0.514572i \(0.172049\pi\)
−0.443132 + 0.896456i \(0.646133\pi\)
\(264\) 0.690189 + 2.24989i 0.0424782 + 0.138471i
\(265\) 12.2579 + 26.8411i 0.752999 + 1.64884i
\(266\) 6.57849 + 5.70029i 0.403353 + 0.349507i
\(267\) 1.53815 + 9.85348i 0.0941334 + 0.603023i
\(268\) −6.52518 + 11.5892i −0.398589 + 0.707921i
\(269\) 19.5070i 1.18936i −0.803961 0.594682i \(-0.797278\pi\)
0.803961 0.594682i \(-0.202722\pi\)
\(270\) −1.79044 + 7.02831i −0.108962 + 0.427729i
\(271\) 5.96026 2.72196i 0.362060 0.165347i −0.226075 0.974110i \(-0.572590\pi\)
0.588135 + 0.808763i \(0.299862\pi\)
\(272\) −0.277843 + 0.0399478i −0.0168467 + 0.00242219i
\(273\) 1.64439 0.775055i 0.0995230 0.0469085i
\(274\) 4.78656 + 1.40546i 0.289167 + 0.0849070i
\(275\) 0.0773912 0.0893142i 0.00466686 0.00538585i
\(276\) −3.94297 + 8.91676i −0.237339 + 0.536726i
\(277\) 14.3006 16.5038i 0.859240 0.991616i −0.140759 0.990044i \(-0.544954\pi\)
0.999999 0.00157213i \(-0.000500424\pi\)
\(278\) 9.76248 + 4.45837i 0.585514 + 0.267395i
\(279\) 12.1088 + 17.8790i 0.724937 + 1.07039i
\(280\) −11.1215 17.3053i −0.664634 1.03419i
\(281\) 0.963128 0.618965i 0.0574554 0.0369244i −0.511598 0.859225i \(-0.670946\pi\)
0.569053 + 0.822301i \(0.307310\pi\)
\(282\) −12.5341 + 3.84503i −0.746394 + 0.228968i
\(283\) 7.82689 + 9.03271i 0.465260 + 0.536939i 0.939087 0.343679i \(-0.111673\pi\)
−0.473827 + 0.880618i \(0.657128\pi\)
\(284\) 5.51819 + 18.7932i 0.327445 + 1.11517i
\(285\) −0.166285 13.7956i −0.00984988 0.817181i
\(286\) 0.0957777 0.0137708i 0.00566345 0.000814282i
\(287\) −26.0105 + 22.5382i −1.53535 + 1.33039i
\(288\) −11.3004 12.4232i −0.665880 0.732043i
\(289\) −16.2902 4.78324i −0.958248 0.281367i
\(290\) −4.72448 2.15760i −0.277431 0.126698i
\(291\) 0.669561 0.441793i 0.0392503 0.0258984i
\(292\) 2.53870 17.6570i 0.148566 1.03330i
\(293\) 7.71750 + 12.0087i 0.450861 + 0.701554i 0.990063 0.140623i \(-0.0449104\pi\)
−0.539202 + 0.842176i \(0.681274\pi\)
\(294\) 0.121860 + 10.1099i 0.00710701 + 0.589623i
\(295\) 2.85797 9.73335i 0.166397 0.566698i
\(296\) 8.71216 + 5.59897i 0.506384 + 0.325433i
\(297\) −2.84290 + 1.42469i −0.164962 + 0.0826687i
\(298\) 0.0652886i 0.00378207i
\(299\) 0.752334 + 0.483496i 0.0435086 + 0.0279613i
\(300\) −0.146819 + 0.523269i −0.00847659 + 0.0302110i
\(301\) 23.8837 + 27.5632i 1.37663 + 1.58872i
\(302\) −0.143864 0.166028i −0.00827846 0.00955386i
\(303\) −8.25730 + 29.4294i −0.474369 + 1.69067i
\(304\) 5.55695 + 3.57123i 0.318713 + 0.204824i
\(305\) 18.1473i 1.03911i
\(306\) 0.0831849 + 0.259951i 0.00475536 + 0.0148604i
\(307\) −4.69484 3.01719i −0.267949 0.172200i 0.399767 0.916617i \(-0.369091\pi\)
−0.667715 + 0.744417i \(0.732728\pi\)
\(308\) 1.13900 3.87906i 0.0649003 0.221030i
\(309\) −0.0349104 2.89629i −0.00198598 0.164764i
\(310\) −5.43169 8.45187i −0.308499 0.480034i
\(311\) 3.77958 26.2876i 0.214320 1.49063i −0.544186 0.838965i \(-0.683161\pi\)
0.758506 0.651666i \(-0.225930\pi\)
\(312\) −0.828594 + 0.546728i −0.0469099 + 0.0309524i
\(313\) 2.55952 + 1.16889i 0.144673 + 0.0660697i 0.486436 0.873716i \(-0.338297\pi\)
−0.341763 + 0.939786i \(0.611024\pi\)
\(314\) −2.01423 0.591432i −0.113670 0.0333764i
\(315\) 20.5617 18.7033i 1.15852 1.05381i
\(316\) 14.3071 12.3971i 0.804836 0.697394i
\(317\) −26.7751 + 3.84968i −1.50384 + 0.216220i −0.844472 0.535600i \(-0.820086\pi\)
−0.659369 + 0.751819i \(0.729177\pi\)
\(318\) 0.165566 + 13.7360i 0.00928449 + 0.770274i
\(319\) −0.641557 2.18494i −0.0359203 0.122333i
\(320\) −0.523498 0.604149i −0.0292644 0.0337730i
\(321\) 15.9173 4.88287i 0.888416 0.272535i
\(322\) −7.25763 + 4.66420i −0.404452 + 0.259926i
\(323\) −0.280697 0.436773i −0.0156184 0.0243027i
\(324\) 9.03265 11.5004i 0.501814 0.638912i
\(325\) 0.0453462 + 0.0207089i 0.00251536 + 0.00114872i
\(326\) −5.29746 + 6.11359i −0.293399 + 0.338601i
\(327\) −7.37656 + 16.6816i −0.407925 + 0.922495i
\(328\) 12.3077 14.2038i 0.679577 0.784274i
\(329\) 48.2099 + 14.1557i 2.65790 + 0.780430i
\(330\) 1.33830 0.630784i 0.0736709 0.0347235i
\(331\) −8.78499 + 1.26309i −0.482867 + 0.0694257i −0.379450 0.925212i \(-0.623887\pi\)
−0.103417 + 0.994638i \(0.532978\pi\)
\(332\) −3.80238 + 1.73649i −0.208683 + 0.0953022i
\(333\) −5.50456 + 12.8652i −0.301648 + 0.705011i
\(334\) 3.30208i 0.180682i
\(335\) 17.3908 + 6.74527i 0.950161 + 0.368533i
\(336\) 2.05256 + 13.1488i 0.111976 + 0.717325i
\(337\) −12.7358 11.0356i −0.693761 0.601148i 0.234925 0.972013i \(-0.424516\pi\)
−0.928686 + 0.370866i \(0.879061\pi\)
\(338\) −3.29081 7.20586i −0.178996 0.391947i
\(339\) 4.74432 + 15.4656i 0.257676 + 0.839976i
\(340\) 0.154950 + 0.527712i 0.00840336 + 0.0286192i
\(341\) 1.24100 4.22647i 0.0672042 0.228876i
\(342\) 2.52655 5.90505i 0.136620 0.319308i
\(343\) 5.56208 8.65476i 0.300324 0.467313i
\(344\) −15.0517 13.0424i −0.811534 0.703198i
\(345\) 13.1655 + 3.69397i 0.708806 + 0.198877i
\(346\) −2.41598 8.22809i −0.129884 0.442345i
\(347\) 12.8320 8.24665i 0.688860 0.442703i −0.148821 0.988864i \(-0.547548\pi\)
0.837680 + 0.546161i \(0.183911\pi\)
\(348\) 6.95270 + 7.83110i 0.372704 + 0.419791i
\(349\) −2.07145 14.4072i −0.110882 0.771202i −0.967065 0.254529i \(-0.918079\pi\)
0.856183 0.516673i \(-0.172830\pi\)
\(350\) −0.363444 + 0.314926i −0.0194269 + 0.0168335i
\(351\) −0.914482 0.981320i −0.0488114 0.0523790i
\(352\) −0.487542 + 3.39093i −0.0259861 + 0.180737i
\(353\) −1.16247 8.08514i −0.0618719 0.430328i −0.997089 0.0762524i \(-0.975705\pi\)
0.935217 0.354076i \(-0.115205\pi\)
\(354\) 3.04937 3.60608i 0.162072 0.191661i
\(355\) 24.9879 11.4116i 1.32622 0.605664i
\(356\) −2.63575 + 8.97655i −0.139695 + 0.475756i
\(357\) 0.282576 1.00711i 0.0149555 0.0533020i
\(358\) 3.54532 + 7.76317i 0.187376 + 0.410296i
\(359\) 25.7851 + 3.70733i 1.36088 + 0.195666i 0.783797 0.621017i \(-0.213280\pi\)
0.577087 + 0.816683i \(0.304189\pi\)
\(360\) −9.66050 + 11.7075i −0.509153 + 0.617039i
\(361\) 0.965196 6.71309i 0.0507998 0.353320i
\(362\) 6.88853 + 2.02266i 0.362053 + 0.106308i
\(363\) −16.8317 7.44292i −0.883435 0.390652i
\(364\) 1.70537 0.0893855
\(365\) −25.0187 −1.30954
\(366\) −3.41666 + 7.72656i −0.178592 + 0.403874i
\(367\) −31.5542 14.4103i −1.64712 0.752213i −0.647168 0.762348i \(-0.724047\pi\)
−0.999949 + 0.0101350i \(0.996774\pi\)
\(368\) −4.94774 + 4.28724i −0.257919 + 0.223488i
\(369\) 21.6885 + 13.2107i 1.12906 + 0.687722i
\(370\) 2.70462 5.92229i 0.140607 0.307885i
\(371\) 28.4624 44.2883i 1.47769 2.29934i
\(372\) 3.12432 + 20.0146i 0.161989 + 1.03771i
\(373\) 23.2296i 1.20279i 0.798954 + 0.601393i \(0.205387\pi\)
−0.798954 + 0.601393i \(0.794613\pi\)
\(374\) 0.0301011 0.0468382i 0.00155649 0.00242194i
\(375\) −18.8112 2.47361i −0.971405 0.127737i
\(376\) −27.1586 3.90482i −1.40060 0.201376i
\(377\) 0.808087 0.519326i 0.0416186 0.0267466i
\(378\) 12.2759 4.09206i 0.631403 0.210473i
\(379\) 3.88567 1.77453i 0.199594 0.0911514i −0.313111 0.949717i \(-0.601371\pi\)
0.512704 + 0.858565i \(0.328644\pi\)
\(380\) 5.37656 11.7730i 0.275812 0.603943i
\(381\) −24.2485 3.18860i −1.24229 0.163357i
\(382\) 5.53143 + 12.1121i 0.283013 + 0.619711i
\(383\) −0.345060 0.398220i −0.0176317 0.0203481i 0.746865 0.664975i \(-0.231558\pi\)
−0.764497 + 0.644627i \(0.777013\pi\)
\(384\) −5.79633 18.8950i −0.295792 0.964229i
\(385\) −5.61235 0.806935i −0.286032 0.0411252i
\(386\) −1.77958 + 0.522532i −0.0905783 + 0.0265962i
\(387\) 13.9993 22.9832i 0.711626 1.16830i
\(388\) 0.744867 0.107096i 0.0378149 0.00543696i
\(389\) −19.7126 30.6734i −0.999469 1.55520i −0.820736 0.571307i \(-0.806437\pi\)
−0.178733 0.983898i \(-0.557200\pi\)
\(390\) 0.414349 + 0.466698i 0.0209814 + 0.0236322i
\(391\) 0.493731 0.144973i 0.0249691 0.00733158i
\(392\) −8.79003 + 19.2475i −0.443963 + 0.972144i
\(393\) −14.4300 9.02969i −0.727895 0.455488i
\(394\) −4.54793 2.92278i −0.229122 0.147248i
\(395\) −20.0657 17.3870i −1.00961 0.874836i
\(396\) −2.98221 + 0.0719025i −0.149862 + 0.00361324i
\(397\) −0.782116 + 0.229650i −0.0392533 + 0.0115258i −0.301300 0.953529i \(-0.597421\pi\)
0.262047 + 0.965055i \(0.415602\pi\)
\(398\) −2.22932 15.5052i −0.111746 0.777207i
\(399\) −20.5456 + 13.5565i −1.02856 + 0.678674i
\(400\) −0.238985 + 0.275803i −0.0119492 + 0.0137901i
\(401\) −9.07892 −0.453380 −0.226690 0.973967i \(-0.572790\pi\)
−0.226690 + 0.973967i \(0.572790\pi\)
\(402\) 6.13450 + 6.14615i 0.305961 + 0.306542i
\(403\) 1.85810 0.0925586
\(404\) −18.7774 + 21.6703i −0.934210 + 1.07814i
\(405\) −17.7681 10.2439i −0.882903 0.509024i
\(406\) 1.31876 + 9.17218i 0.0654490 + 0.455208i
\(407\) 2.73890 0.804214i 0.135762 0.0398634i
\(408\) −0.0744701 + 0.566326i −0.00368682 + 0.0280373i
\(409\) −2.94356 2.55061i −0.145550 0.126119i 0.579043 0.815297i \(-0.303426\pi\)
−0.724592 + 0.689178i \(0.757972\pi\)
\(410\) −9.93983 6.38794i −0.490893 0.315478i
\(411\) −7.48322 + 11.9586i −0.369120 + 0.589874i
\(412\) 1.12877 2.47166i 0.0556105 0.121770i
\(413\) −17.3656 + 5.09900i −0.854506 + 0.250906i
\(414\) 4.90997 + 4.05149i 0.241312 + 0.199120i
\(415\) 3.16958 + 4.93197i 0.155589 + 0.242101i
\(416\) −1.43038 + 0.205658i −0.0701302 + 0.0100832i
\(417\) −19.5966 + 23.1742i −0.959648 + 1.13485i
\(418\) −1.25713 + 0.369128i −0.0614884 + 0.0180546i
\(419\) −21.4513 3.08423i −1.04796 0.150674i −0.403243 0.915093i \(-0.632117\pi\)
−0.644720 + 0.764419i \(0.723026\pi\)
\(420\) 24.9285 7.64722i 1.21639 0.373146i
\(421\) 8.02953 + 9.26657i 0.391335 + 0.451625i 0.916893 0.399133i \(-0.130689\pi\)
−0.525558 + 0.850758i \(0.676143\pi\)
\(422\) 1.28846 + 2.82133i 0.0627211 + 0.137340i
\(423\) −0.893622 37.0636i −0.0434494 1.80210i
\(424\) −11.9427 + 26.1508i −0.579986 + 1.26999i
\(425\) 0.0260919 0.0119158i 0.00126564 0.000578001i
\(426\) 12.7876 0.154135i 0.619559 0.00746784i
\(427\) 27.2375 17.5045i 1.31811 0.847101i
\(428\) 15.4598 + 2.22279i 0.747280 + 0.107443i
\(429\) −0.0356740 + 0.271292i −0.00172236 + 0.0130981i
\(430\) −6.76927 + 10.5332i −0.326443 + 0.507955i
\(431\) 22.6363i 1.09035i 0.838322 + 0.545175i \(0.183537\pi\)
−0.838322 + 0.545175i \(0.816463\pi\)
\(432\) 8.77891 4.39944i 0.422375 0.211668i
\(433\) −0.826932 + 1.28673i −0.0397398 + 0.0618363i −0.860555 0.509357i \(-0.829883\pi\)
0.820815 + 0.571194i \(0.193519\pi\)
\(434\) −7.44622 + 16.3049i −0.357430 + 0.782663i
\(435\) 9.48361 11.2150i 0.454704 0.537717i
\(436\) −12.9315 + 11.2052i −0.619304 + 0.536630i
\(437\) −11.0149 5.03035i −0.526915 0.240634i
\(438\) −10.6522 4.71035i −0.508980 0.225069i
\(439\) 18.7007 0.892537 0.446269 0.894899i \(-0.352753\pi\)
0.446269 + 0.894899i \(0.352753\pi\)
\(440\) 3.09631 0.147611
\(441\) −27.6192 7.39149i −1.31520 0.351976i
\(442\) 0.0225345 + 0.00661672i 0.00107186 + 0.000314725i
\(443\) −0.299172 + 2.08078i −0.0142141 + 0.0988610i −0.995693 0.0927068i \(-0.970448\pi\)
0.981479 + 0.191568i \(0.0613572\pi\)
\(444\) −9.81655 + 8.71544i −0.465873 + 0.413617i
\(445\) 12.9876 + 1.86733i 0.615670 + 0.0885200i
\(446\) −3.12352 6.83956i −0.147903 0.323862i
\(447\) 0.177760 + 0.0498759i 0.00840776 + 0.00235905i
\(448\) −0.401820 + 1.36847i −0.0189842 + 0.0646542i
\(449\) 33.0799 15.1071i 1.56114 0.712948i 0.567272 0.823530i \(-0.307999\pi\)
0.993867 + 0.110582i \(0.0352715\pi\)
\(450\) 0.303053 + 0.184593i 0.0142860 + 0.00870180i
\(451\) −0.737246 5.12766i −0.0347156 0.241452i
\(452\) −2.15971 + 15.0211i −0.101584 + 0.706535i
\(453\) 0.561944 0.264863i 0.0264024 0.0124443i
\(454\) −7.25756 + 6.28872i −0.340614 + 0.295144i
\(455\) −0.340386 2.36743i −0.0159575 0.110987i
\(456\) 10.0518 8.92428i 0.470717 0.417918i
\(457\) −7.40923 + 4.76162i −0.346589 + 0.222739i −0.702340 0.711842i \(-0.747861\pi\)
0.355751 + 0.934581i \(0.384225\pi\)
\(458\) −2.76431 9.41437i −0.129168 0.439905i
\(459\) −0.771310 + 0.0279017i −0.0360017 + 0.00130234i
\(460\) 9.69438 + 8.40023i 0.452003 + 0.391663i
\(461\) 3.07623 4.78670i 0.143274 0.222939i −0.762199 0.647343i \(-0.775880\pi\)
0.905473 + 0.424404i \(0.139516\pi\)
\(462\) −2.23764 1.40023i −0.104104 0.0651444i
\(463\) −1.58652 + 5.40320i −0.0737320 + 0.251108i −0.988109 0.153756i \(-0.950863\pi\)
0.914377 + 0.404864i \(0.132681\pi\)
\(464\) 1.98113 + 6.74712i 0.0919718 + 0.313227i
\(465\) 27.1612 8.33211i 1.25957 0.386393i
\(466\) −3.34596 7.32664i −0.154999 0.339400i
\(467\) 14.5294 + 12.5898i 0.672341 + 0.582587i 0.922678 0.385572i \(-0.125996\pi\)
−0.250337 + 0.968159i \(0.580541\pi\)
\(468\) −0.383514 1.19847i −0.0177279 0.0553993i
\(469\) −6.65071 32.6083i −0.307101 1.50571i
\(470\) 17.2495i 0.795659i
\(471\) 3.14901 5.03229i 0.145099 0.231876i
\(472\) 8.99022 4.10569i 0.413808 0.188980i
\(473\) −5.43376 + 0.781256i −0.249844 + 0.0359222i
\(474\) −5.26983 11.1807i −0.242051 0.513546i
\(475\) −0.647663 0.190171i −0.0297168 0.00872565i
\(476\) 0.642587 0.741585i 0.0294529 0.0339905i
\(477\) −37.5251 10.0425i −1.71816 0.459815i
\(478\) −1.22296 + 1.41137i −0.0559369 + 0.0645546i
\(479\) 27.6038 + 12.6062i 1.26125 + 0.575993i 0.930003 0.367551i \(-0.119804\pi\)
0.331246 + 0.943544i \(0.392531\pi\)
\(480\) −19.9867 + 9.42038i −0.912263 + 0.429979i
\(481\) 0.650993 + 1.01296i 0.0296827 + 0.0461872i
\(482\) 7.71031 4.95512i 0.351195 0.225699i
\(483\) −7.15479 23.3233i −0.325554 1.06125i
\(484\) −11.3060 13.0478i −0.513908 0.593082i
\(485\) −0.297346 1.01267i −0.0135018 0.0459829i
\(486\) −5.63643 7.70680i −0.255674 0.349587i
\(487\) −36.4652 + 5.24291i −1.65240 + 0.237579i −0.904573 0.426319i \(-0.859810\pi\)
−0.747824 + 0.663898i \(0.768901\pi\)
\(488\) −13.3621 + 11.5783i −0.604873 + 0.524125i
\(489\) −12.5985 19.0936i −0.569722 0.863444i
\(490\) 12.7636 + 3.74775i 0.576603 + 0.169306i
\(491\) 3.37651 + 1.54200i 0.152380 + 0.0695896i 0.490145 0.871641i \(-0.336944\pi\)
−0.337765 + 0.941230i \(0.609671\pi\)
\(492\) 13.1204 + 19.8847i 0.591514 + 0.896470i
\(493\) 0.0786587 0.547083i 0.00354261 0.0246394i
\(494\) −0.298801 0.464943i −0.0134437 0.0209188i
\(495\) 0.695057 + 4.12563i 0.0312405 + 0.185433i
\(496\) −3.83223 + 13.0514i −0.172072 + 0.586025i
\(497\) −41.2304 26.4972i −1.84944 1.18856i
\(498\) 0.420950 + 2.69663i 0.0188632 + 0.120839i
\(499\) 8.51854i 0.381342i −0.981654 0.190671i \(-0.938934\pi\)
0.981654 0.190671i \(-0.0610664\pi\)
\(500\) −14.9732 9.62270i −0.669623 0.430340i
\(501\) 8.99052 + 2.52256i 0.401667 + 0.112700i
\(502\) −9.47192 10.9312i −0.422752 0.487882i
\(503\) 5.50288 + 6.35066i 0.245361 + 0.283162i 0.865050 0.501686i \(-0.167287\pi\)
−0.619689 + 0.784848i \(0.712741\pi\)
\(504\) 26.8902 + 3.20677i 1.19778 + 0.142841i
\(505\) 33.8311 + 21.7420i 1.50547 + 0.967504i
\(506\) 1.29855i 0.0577277i
\(507\) 22.1332 3.45504i 0.982970 0.153444i
\(508\) −19.3012 12.4041i −0.856352 0.550344i
\(509\) 1.47150 5.01147i 0.0652231 0.222130i −0.920432 0.390904i \(-0.872163\pi\)
0.985655 + 0.168774i \(0.0539808\pi\)
\(510\) 0.359073 0.00432808i 0.0159000 0.000191651i
\(511\) 24.1324 + 37.5507i 1.06755 + 1.66115i
\(512\) 2.69977 18.7773i 0.119314 0.829847i
\(513\) 14.1474 + 11.3900i 0.624625 + 0.502882i
\(514\) −2.83886 1.29646i −0.125217 0.0571846i
\(515\) −3.65653 1.07365i −0.161126 0.0473108i
\(516\) 21.0717 13.9036i 0.927630 0.612074i
\(517\) −5.71563 + 4.95262i −0.251373 + 0.217816i
\(518\) −11.4976 + 1.65311i −0.505177 + 0.0726335i
\(519\) 24.2481 0.292274i 1.06437 0.0128294i
\(520\) 0.367972 + 1.25320i 0.0161366 + 0.0549563i
\(521\) −1.16509 1.34458i −0.0510435 0.0589073i 0.729654 0.683817i \(-0.239681\pi\)
−0.780697 + 0.624910i \(0.785136\pi\)
\(522\) 6.14931 2.98948i 0.269148 0.130846i
\(523\) 28.0997 18.0586i 1.22871 0.789646i 0.245023 0.969517i \(-0.421205\pi\)
0.983690 + 0.179871i \(0.0575682\pi\)
\(524\) −8.63331 13.4337i −0.377148 0.586853i
\(525\) −0.579797 1.23012i −0.0253044 0.0536870i
\(526\) 13.2876 + 6.06824i 0.579366 + 0.264588i
\(527\) 0.700138 0.808002i 0.0304985 0.0351971i
\(528\) −1.83199 0.810101i −0.0797272 0.0352551i
\(529\) −7.20248 + 8.31211i −0.313151 + 0.361396i
\(530\) 17.3415 + 5.09191i 0.753265 + 0.221178i
\(531\) 7.48869 + 11.0572i 0.324981 + 0.479843i
\(532\) −22.8563 + 3.28625i −0.990948 + 0.142477i
\(533\) 1.98775 0.907773i 0.0860988 0.0393200i
\(534\) 5.17813 + 3.24027i 0.224080 + 0.140220i
\(535\) 21.9054i 0.947054i
\(536\) 6.12901 + 17.1086i 0.264733 + 0.738981i
\(537\) −23.8450 + 3.72226i −1.02899 + 0.160627i
\(538\) −9.02979 7.82435i −0.389302 0.337332i
\(539\) 2.42284 + 5.30529i 0.104359 + 0.228515i
\(540\) −10.9803 15.7991i −0.472516 0.679887i
\(541\) 1.93783 + 6.59963i 0.0833137 + 0.283740i 0.990603 0.136766i \(-0.0436707\pi\)
−0.907290 + 0.420506i \(0.861853\pi\)
\(542\) 1.13069 3.85079i 0.0485675 0.165406i
\(543\) −10.7694 + 17.2101i −0.462159 + 0.738556i
\(544\) −0.449541 + 0.699499i −0.0192739 + 0.0299908i
\(545\) 18.1364 + 15.7153i 0.776877 + 0.673168i
\(546\) 0.300800 1.07207i 0.0128731 0.0458802i
\(547\) −1.69568 5.77496i −0.0725021 0.246920i 0.915266 0.402850i \(-0.131981\pi\)
−0.987768 + 0.155931i \(0.950162\pi\)
\(548\) −11.1330 + 7.15472i −0.475576 + 0.305634i
\(549\) −18.4269 15.2050i −0.786439 0.648935i
\(550\) −0.0103015 0.0716486i −0.000439258 0.00305511i
\(551\) −9.82972 + 8.51750i −0.418760 + 0.362858i
\(552\) 5.67990 + 12.0507i 0.241752 + 0.512913i
\(553\) −6.74146 + 46.8879i −0.286676 + 1.99388i
\(554\) −1.90355 13.2395i −0.0808741 0.562492i
\(555\) 14.0584 + 11.8880i 0.596744 + 0.504619i
\(556\) −25.8977 + 11.8271i −1.09831 + 0.501581i
\(557\) 3.65792 12.4577i 0.154991 0.527851i −0.844985 0.534790i \(-0.820391\pi\)
0.999976 + 0.00693939i \(0.00220889\pi\)
\(558\) 13.1331 + 1.56618i 0.555968 + 0.0663017i
\(559\) −0.961963 2.10641i −0.0406867 0.0890915i
\(560\) 17.3310 + 2.49182i 0.732368 + 0.105299i
\(561\) 0.104530 + 0.117737i 0.00441327 + 0.00497084i
\(562\) 0.0997967 0.694101i 0.00420967 0.0292789i
\(563\) 38.3912 + 11.2727i 1.61799 + 0.475086i 0.960478 0.278354i \(-0.0897890\pi\)
0.657516 + 0.753441i \(0.271607\pi\)
\(564\) 14.0656 31.8084i 0.592269 1.33938i
\(565\) 21.2838 0.895417
\(566\) 7.32064 0.307709
\(567\) 1.76347 + 36.5493i 0.0740586 + 1.53493i
\(568\) 24.3452 + 11.1181i 1.02150 + 0.466504i
\(569\) 20.8987 18.1088i 0.876119 0.759161i −0.0955709 0.995423i \(-0.530468\pi\)
0.971690 + 0.236262i \(0.0759222\pi\)
\(570\) −6.45268 5.45651i −0.270273 0.228548i
\(571\) −7.13529 + 15.6241i −0.298603 + 0.653849i −0.998154 0.0607336i \(-0.980656\pi\)
0.699551 + 0.714582i \(0.253383\pi\)
\(572\) −0.138777 + 0.215941i −0.00580256 + 0.00902897i
\(573\) −37.2031 + 5.80749i −1.55418 + 0.242611i
\(574\) 21.0804i 0.879880i
\(575\) 0.361690 0.562800i 0.0150835 0.0234704i
\(576\) 1.05208 0.0253661i 0.0438365 0.00105692i
\(577\) 14.7217 + 2.11666i 0.612872 + 0.0881177i 0.441759 0.897134i \(-0.354355\pi\)
0.171113 + 0.985251i \(0.445264\pi\)
\(578\) −8.74824 + 5.62215i −0.363879 + 0.233851i
\(579\) −0.0632134 5.24441i −0.00262706 0.217950i
\(580\) 12.5330 5.72363i 0.520405 0.237661i
\(581\) 4.34513 9.51452i 0.180267 0.394729i
\(582\) 0.0640580 0.487145i 0.00265529 0.0201928i
\(583\) 3.29182 + 7.20808i 0.136333 + 0.298528i
\(584\) −15.9623 18.4215i −0.660526 0.762288i
\(585\) −1.58720 + 0.771615i −0.0656227 + 0.0319023i
\(586\) 8.65433 + 1.24430i 0.357507 + 0.0514018i
\(587\) 38.1587 11.2044i 1.57498 0.462455i 0.626533 0.779395i \(-0.284473\pi\)
0.948446 + 0.316939i \(0.102655\pi\)
\(588\) −20.4805 17.3187i −0.844601 0.714211i
\(589\) −24.9034 + 3.58057i −1.02613 + 0.147535i
\(590\) −3.35922 5.22705i −0.138297 0.215194i
\(591\) 11.4321 10.1498i 0.470253 0.417506i
\(592\) −8.45775 + 2.48342i −0.347611 + 0.102068i
\(593\) −13.4284 + 29.4042i −0.551440 + 1.20748i 0.404667 + 0.914464i \(0.367388\pi\)
−0.956106 + 0.293020i \(0.905340\pi\)
\(594\) −0.480815 + 1.88743i −0.0197281 + 0.0774420i
\(595\) −1.15775 0.744038i −0.0474630 0.0305026i
\(596\) 0.130893 + 0.113420i 0.00536159 + 0.00464585i
\(597\) 43.9188 + 5.77519i 1.79748 + 0.236363i
\(598\) 0.525574 0.154323i 0.0214923 0.00631072i
\(599\) 2.79016 + 19.4060i 0.114003 + 0.792908i 0.963958 + 0.266053i \(0.0857198\pi\)
−0.849955 + 0.526855i \(0.823371\pi\)
\(600\) 0.408992 + 0.619849i 0.0166970 + 0.0253052i
\(601\) 14.6254 16.8786i 0.596581 0.688491i −0.374504 0.927225i \(-0.622187\pi\)
0.971085 + 0.238734i \(0.0767325\pi\)
\(602\) 22.3388 0.910463
\(603\) −21.4203 + 12.0071i −0.872303 + 0.488965i
\(604\) 0.582782 0.0237131
\(605\) −15.8567 + 18.2996i −0.644665 + 0.743983i
\(606\) 10.3108 + 15.6266i 0.418848 + 0.634786i
\(607\) 0.429283 + 2.98573i 0.0174241 + 0.121187i 0.996677 0.0814544i \(-0.0259565\pi\)
−0.979253 + 0.202641i \(0.935047\pi\)
\(608\) 18.7745 5.51270i 0.761408 0.223569i
\(609\) −25.9803 3.41633i −1.05278 0.138437i
\(610\) 8.40038 + 7.27897i 0.340122 + 0.294717i
\(611\) −2.68377 1.72476i −0.108574 0.0697762i
\(612\) −0.665669 0.284815i −0.0269081 0.0115130i
\(613\) −2.57020 + 5.62795i −0.103809 + 0.227311i −0.954408 0.298504i \(-0.903512\pi\)
0.850599 + 0.525815i \(0.176240\pi\)
\(614\) −3.27978 + 0.963029i −0.132361 + 0.0388647i
\(615\) 24.9856 22.1830i 1.00752 0.894506i
\(616\) −2.98663 4.64728i −0.120335 0.187244i
\(617\) −37.1846 + 5.34633i −1.49699 + 0.215235i −0.841620 0.540069i \(-0.818398\pi\)
−0.655374 + 0.755305i \(0.727489\pi\)
\(618\) −1.35469 1.14556i −0.0544938 0.0460810i
\(619\) 10.1858 2.99081i 0.409400 0.120211i −0.0705463 0.997509i \(-0.522474\pi\)
0.479946 + 0.877298i \(0.340656\pi\)
\(620\) 26.3806 + 3.79296i 1.05947 + 0.152329i
\(621\) −14.7818 + 10.2732i −0.593173 + 0.412251i
\(622\) −10.6525 12.2936i −0.427126 0.492930i
\(623\) −9.72480 21.2944i −0.389616 0.853140i
\(624\) 0.110162 0.837751i 0.00441000 0.0335369i
\(625\) −10.7710 + 23.5852i −0.430840 + 0.943407i
\(626\) 1.56771 0.715951i 0.0626585 0.0286152i
\(627\) −0.0446552 3.70476i −0.00178336 0.147954i
\(628\) 4.68485 3.01077i 0.186946 0.120143i
\(629\) 0.685787 + 0.0986013i 0.0273441 + 0.00393149i
\(630\) −0.410360 17.0200i −0.0163491 0.678092i
\(631\) −2.33059 + 3.62646i −0.0927792 + 0.144367i −0.884541 0.466463i \(-0.845528\pi\)
0.791761 + 0.610831i \(0.209164\pi\)
\(632\) 25.8678i 1.02897i
\(633\) −8.66586 + 1.35276i −0.344437 + 0.0537674i
\(634\) −8.95761 + 13.9383i −0.355752 + 0.553561i
\(635\) −13.3673 + 29.2702i −0.530464 + 1.16155i
\(636\) −27.8260 23.5302i −1.10337 0.933034i
\(637\) −1.85932 + 1.61111i −0.0736690 + 0.0638345i
\(638\) −1.26874 0.579414i −0.0502299 0.0229392i
\(639\) −9.34913 + 34.9341i −0.369846 + 1.38197i
\(640\) −26.0033 −1.02787
\(641\) −25.6482 −1.01304 −0.506521 0.862228i \(-0.669069\pi\)
−0.506521 + 0.862228i \(0.669069\pi\)
\(642\) 4.12421 9.32664i 0.162770 0.368093i
\(643\) 3.21259 + 0.943303i 0.126692 + 0.0372002i 0.344464 0.938800i \(-0.388061\pi\)
−0.217772 + 0.976000i \(0.569879\pi\)
\(644\) 3.25702 22.6530i 0.128344 0.892655i
\(645\) −23.5073 26.4772i −0.925597 1.04254i
\(646\) −0.314771 0.0452572i −0.0123845 0.00178062i
\(647\) 12.3558 + 27.0555i 0.485758 + 1.06366i 0.980840 + 0.194815i \(0.0624106\pi\)
−0.495082 + 0.868846i \(0.664862\pi\)
\(648\) −3.79363 19.6186i −0.149028 0.770693i
\(649\) 0.767497 2.61386i 0.0301269 0.102603i
\(650\) 0.0277747 0.0126843i 0.00108941 0.000497519i
\(651\) −38.7048 32.7295i −1.51696 1.28277i
\(652\) −3.05401 21.2411i −0.119604 0.831866i
\(653\) −1.48591 + 10.3347i −0.0581481 + 0.404429i 0.939872 + 0.341528i \(0.110944\pi\)
−0.998020 + 0.0629011i \(0.979965\pi\)
\(654\) 4.76314 + 10.1057i 0.186253 + 0.395163i
\(655\) −16.9258 + 14.6663i −0.661347 + 0.573060i
\(656\) 2.27662 + 15.8343i 0.0888871 + 0.618224i
\(657\) 20.9623 25.4040i 0.817816 0.991106i
\(658\) 25.8899 16.6384i 1.00929 0.648633i
\(659\) 0.757645 + 2.58030i 0.0295136 + 0.100514i 0.972933 0.231089i \(-0.0742288\pi\)
−0.943419 + 0.331603i \(0.892411\pi\)
\(660\) −1.06028 + 3.77887i −0.0412712 + 0.147092i
\(661\) −7.22000 6.25617i −0.280826 0.243337i 0.503046 0.864260i \(-0.332213\pi\)
−0.783872 + 0.620923i \(0.786758\pi\)
\(662\) −2.93902 + 4.57320i −0.114228 + 0.177742i
\(663\) −0.0352300 + 0.0562995i −0.00136822 + 0.00218649i
\(664\) −1.60921 + 5.48048i −0.0624496 + 0.212684i
\(665\) 9.12411 + 31.0739i 0.353818 + 1.20499i
\(666\) 3.74741 + 7.70837i 0.145209 + 0.298693i
\(667\) −5.35507 11.7260i −0.207349 0.454032i
\(668\) 6.62015 + 5.73639i 0.256141 + 0.221948i
\(669\) 21.0081 3.27941i 0.812219 0.126789i
\(670\) 10.0979 5.34463i 0.390116 0.206481i
\(671\) 4.87339i 0.188135i
\(672\) 33.4178 + 20.9115i 1.28912 + 0.806680i
\(673\) −4.17783 + 1.90795i −0.161043 + 0.0735460i −0.494306 0.869288i \(-0.664578\pi\)
0.333263 + 0.942834i \(0.391850\pi\)
\(674\) −10.2168 + 1.46895i −0.393535 + 0.0565817i
\(675\) −0.734098 + 0.684099i −0.0282555 + 0.0263310i
\(676\) 20.1634 + 5.92051i 0.775515 + 0.227712i
\(677\) 20.9603 24.1894i 0.805568 0.929675i −0.193105 0.981178i \(-0.561856\pi\)
0.998673 + 0.0515030i \(0.0164012\pi\)
\(678\) 9.06199 + 4.00718i 0.348023 + 0.153895i
\(679\) −1.23311 + 1.42308i −0.0473224 + 0.0546130i
\(680\) 0.683610 + 0.312194i 0.0262152 + 0.0119721i
\(681\) −11.5779 24.5642i −0.443666 0.941300i
\(682\) −1.45866 2.26972i −0.0558550 0.0869120i
\(683\) −9.86709 + 6.34119i −0.377554 + 0.242639i −0.715630 0.698480i \(-0.753860\pi\)
0.338076 + 0.941119i \(0.390224\pi\)
\(684\) 7.44954 + 15.3236i 0.284840 + 0.585912i
\(685\) 12.1545 + 14.0270i 0.464398 + 0.535944i
\(686\) −1.77531 6.04615i −0.0677816 0.230843i
\(687\) 27.7440 0.334412i 1.05850 0.0127586i
\(688\) 16.7795 2.41253i 0.639712 0.0919767i
\(689\) −2.52618 + 2.18895i −0.0962399 + 0.0833924i
\(690\) 6.99068 4.61263i 0.266130 0.175600i
\(691\) 27.0629 + 7.94639i 1.02952 + 0.302295i 0.752517 0.658573i \(-0.228840\pi\)
0.277006 + 0.960868i \(0.410658\pi\)
\(692\) 20.6930 + 9.45020i 0.786631 + 0.359243i
\(693\) 5.52177 5.02270i 0.209755 0.190797i
\(694\) 1.32962 9.24771i 0.0504717 0.351038i
\(695\) 21.5878 + 33.5913i 0.818872 + 1.27419i
\(696\) 14.3084 0.172466i 0.542360 0.00653732i
\(697\) 0.354240 1.20643i 0.0134178 0.0456968i
\(698\) −7.49997 4.81994i −0.283878 0.182437i
\(699\) 22.5042 3.51295i 0.851185 0.132872i
\(700\) 1.27574i 0.0482183i
\(701\) −6.21937 3.99695i −0.234903 0.150963i 0.417894 0.908496i \(-0.362768\pi\)
−0.652797 + 0.757533i \(0.726405\pi\)
\(702\) −0.821055 + 0.0297012i −0.0309887 + 0.00112100i
\(703\) −10.6770 12.3219i −0.402690 0.464729i
\(704\) −0.140584 0.162242i −0.00529844 0.00611473i
\(705\) −46.9648 13.1774i −1.76880 0.496289i
\(706\) −4.20888 2.70488i −0.158403 0.101800i
\(707\) 71.7493i 2.69841i
\(708\) 1.93223 + 12.3780i 0.0726177 + 0.465193i
\(709\) 41.0686 + 26.3932i 1.54236 + 0.991216i 0.987202 + 0.159473i \(0.0509795\pi\)
0.555160 + 0.831743i \(0.312657\pi\)
\(710\) 4.74034 16.1441i 0.177902 0.605877i
\(711\) 34.4672 5.80679i 1.29262 0.217772i
\(712\) 6.91136 + 10.7543i 0.259014 + 0.403034i
\(713\) 3.54872 24.6819i 0.132901 0.924344i
\(714\) −0.352849 0.534761i −0.0132051 0.0200129i
\(715\) 0.327475 + 0.149553i 0.0122469 + 0.00559296i
\(716\) −21.7228 6.37840i −0.811821 0.238372i
\(717\) −2.90845 4.40791i −0.108618 0.164617i
\(718\) 12.0586 10.4489i 0.450024 0.389948i
\(719\) −12.3761 + 1.77941i −0.461550 + 0.0663608i −0.369168 0.929363i \(-0.620357\pi\)
−0.0923821 + 0.995724i \(0.529448\pi\)
\(720\) −2.14634 12.7400i −0.0799894 0.474791i
\(721\) 1.91554 + 6.52373i 0.0713385 + 0.242957i
\(722\) −2.72034 3.13944i −0.101241 0.116838i
\(723\) 7.60106 + 24.7781i 0.282686 + 0.921506i
\(724\) −16.0219 + 10.2966i −0.595448 + 0.382671i
\(725\) −0.388493 0.604508i −0.0144283 0.0224508i
\(726\) −10.1966 + 4.80599i −0.378431 + 0.178367i
\(727\) 0.0463199 + 0.0211536i 0.00171791 + 0.000784544i 0.416274 0.909239i \(-0.363336\pi\)
−0.414556 + 0.910024i \(0.636063\pi\)
\(728\) 1.52600 1.76109i 0.0565572 0.0652705i
\(729\) 25.2890 9.45874i 0.936629 0.350324i
\(730\) −10.0351 + 11.5811i −0.371416 + 0.428636i
\(731\) −1.27845 0.375386i −0.0472851 0.0138842i
\(732\) −9.55508 20.2725i −0.353166 0.749292i
\(733\) −31.5825 + 4.54088i −1.16653 + 0.167721i −0.698246 0.715858i \(-0.746036\pi\)
−0.468282 + 0.883579i \(0.655127\pi\)
\(734\) −19.3271 + 8.82638i −0.713375 + 0.325788i
\(735\) −19.9544 + 31.8883i −0.736030 + 1.17622i
\(736\) 19.3931i 0.714839i
\(737\) 4.67023 + 1.81142i 0.172030 + 0.0667244i
\(738\) 14.8146 4.74070i 0.545332 0.174508i
\(739\) −15.3626 13.3118i −0.565124 0.489683i 0.324805 0.945781i \(-0.394701\pi\)
−0.889930 + 0.456098i \(0.849247\pi\)
\(740\) 7.17477 + 15.7106i 0.263750 + 0.577531i
\(741\) 1.49415 0.458355i 0.0548891 0.0168381i
\(742\) −9.08465 30.9395i −0.333508 1.13582i
\(743\) −9.32426 + 31.7555i −0.342074 + 1.16500i 0.591408 + 0.806372i \(0.298572\pi\)
−0.933482 + 0.358624i \(0.883246\pi\)
\(744\) 23.4643 + 14.6830i 0.860244 + 0.538306i
\(745\) 0.131326 0.204348i 0.00481142 0.00748671i
\(746\) 10.7530 + 9.31752i 0.393695 + 0.341139i
\(747\) −7.66363 0.913921i −0.280397 0.0334386i
\(748\) 0.0416113 + 0.141715i 0.00152146 + 0.00518162i
\(749\) −32.8781 + 21.1294i −1.20134 + 0.772053i
\(750\) −8.69028 + 7.71550i −0.317324 + 0.281730i
\(751\) −2.75194 19.1402i −0.100420 0.698434i −0.976381 0.216054i \(-0.930681\pi\)
0.875962 0.482380i \(-0.160228\pi\)
\(752\) 17.6499 15.2937i 0.643626 0.557705i
\(753\) 36.9980 17.4383i 1.34828 0.635489i
\(754\) 0.0837317 0.582367i 0.00304933 0.0212086i
\(755\) −0.116321 0.809033i −0.00423337 0.0294437i
\(756\) −13.1218 + 31.7199i −0.477234 + 1.15364i
\(757\) −1.43782 + 0.656629i −0.0522584 + 0.0238656i −0.441373 0.897324i \(-0.645508\pi\)
0.389114 + 0.921189i \(0.372781\pi\)
\(758\) 0.737134 2.51045i 0.0267739 0.0911836i
\(759\) 3.53554 + 0.992002i 0.128332 + 0.0360074i
\(760\) −7.34669 16.0870i −0.266492 0.583537i
\(761\) −34.9551 5.02578i −1.26712 0.182184i −0.524218 0.851584i \(-0.675642\pi\)
−0.742902 + 0.669400i \(0.766551\pi\)
\(762\) −11.2022 + 9.94565i −0.405812 + 0.360293i
\(763\) 6.09327 42.3796i 0.220591 1.53425i
\(764\) −33.8921 9.95163i −1.22617 0.360037i
\(765\) −0.262522 + 0.980947i −0.00949152 + 0.0354662i
\(766\) −0.322741 −0.0116611
\(767\) 1.14914 0.0414930
\(768\) −9.96002 4.40429i −0.359401 0.158926i
\(769\) −36.8777 16.8415i −1.32984 0.607320i −0.381443 0.924392i \(-0.624573\pi\)
−0.948401 + 0.317073i \(0.897300\pi\)
\(770\) −2.62467 + 2.27429i −0.0945866 + 0.0819597i
\(771\) 5.69855 6.73890i 0.205228 0.242696i
\(772\) 2.04390 4.47552i 0.0735616 0.161077i
\(773\) −11.2109 + 17.4445i −0.403228 + 0.627436i −0.982184 0.187924i \(-0.939824\pi\)
0.578955 + 0.815359i \(0.303461\pi\)
\(774\) −5.02370 15.6989i −0.180573 0.564287i
\(775\) 1.38999i 0.0499301i
\(776\) 0.555927 0.865039i 0.0199566 0.0310531i
\(777\) 4.28249 32.5672i 0.153634 1.16834i
\(778\) −22.1055 3.17830i −0.792522 0.113947i
\(779\) −24.8917 + 15.9969i −0.891837 + 0.573149i
\(780\) −1.65546 + 0.0199541i −0.0592750 + 0.000714471i
\(781\) 6.71040 3.06454i 0.240117 0.109658i
\(782\) 0.130930 0.286697i 0.00468206 0.0102523i
\(783\) 3.44174 + 19.0263i 0.122998 + 0.679946i
\(784\) −7.48176 16.3828i −0.267206 0.585099i
\(785\) −5.11472 5.90270i −0.182552 0.210676i
\(786\) −9.96777 + 3.05777i −0.355538 + 0.109067i
\(787\) −29.7718 4.28054i −1.06125 0.152585i −0.410488 0.911866i \(-0.634642\pi\)
−0.650763 + 0.759281i \(0.725551\pi\)
\(788\) 13.7604 4.04042i 0.490194 0.143934i
\(789\) −26.6726 + 31.5421i −0.949571 + 1.12293i
\(790\) −16.0969 + 2.31438i −0.572702 + 0.0823421i
\(791\) −20.5299 31.9451i −0.729958 1.13584i
\(792\) −2.59429 + 3.14400i −0.0921842 + 0.111717i
\(793\) −1.97245 + 0.579164i −0.0700438 + 0.0205667i
\(794\) −0.207406 + 0.454155i −0.00736055 + 0.0161174i
\(795\) −27.1113 + 43.3254i −0.961538 + 1.53659i
\(796\) 34.9583 + 22.4663i 1.23906 + 0.796298i
\(797\) 26.0247 + 22.5505i 0.921843 + 0.798781i 0.979891 0.199532i \(-0.0639423\pi\)
−0.0580484 + 0.998314i \(0.518488\pi\)
\(798\) −1.96563 + 14.9481i −0.0695825 + 0.529157i
\(799\) −1.76127 + 0.517156i −0.0623093 + 0.0182957i
\(800\) 0.153847 + 1.07003i 0.00543931 + 0.0378312i
\(801\) −12.7779 + 11.6231i −0.451486 + 0.410681i
\(802\) −3.64160 + 4.20263i −0.128589 + 0.148400i
\(803\) −6.71867 −0.237097
\(804\) −22.9789 + 1.62157i −0.810404 + 0.0571884i
\(805\) −32.0976 −1.13129
\(806\) 0.745293 0.860114i 0.0262518 0.0302962i
\(807\) 28.2013 18.6080i 0.992734 0.655031i
\(808\) 5.57601 + 38.7820i 0.196163 + 1.36435i
\(809\) 1.91186 0.561373i 0.0672174 0.0197368i −0.247951 0.968773i \(-0.579757\pi\)
0.315168 + 0.949036i \(0.397939\pi\)
\(810\) −11.8688 + 4.11595i −0.417026 + 0.144620i
\(811\) −14.8246 12.8456i −0.520563 0.451070i 0.354516 0.935050i \(-0.384645\pi\)
−0.875079 + 0.483979i \(0.839191\pi\)
\(812\) −20.6797 13.2900i −0.725715 0.466389i
\(813\) 9.62070 + 6.02025i 0.337413 + 0.211139i
\(814\) 0.726316 1.59041i 0.0254573 0.0557438i
\(815\) −28.8779 + 8.47931i −1.01155 + 0.297017i
\(816\) −0.322790 0.363571i −0.0112999 0.0127275i
\(817\) 16.9519 + 26.3776i 0.593070 + 0.922835i
\(818\) −2.36135 + 0.339511i −0.0825627 + 0.0118707i
\(819\) 2.68910 + 1.63796i 0.0939648 + 0.0572351i
\(820\) 30.0743 8.83061i 1.05024 0.308378i
\(821\) −5.65692 0.813343i −0.197428 0.0283859i 0.0428913 0.999080i \(-0.486343\pi\)
−0.240319 + 0.970694i \(0.577252\pi\)
\(822\) 2.53408 + 8.26063i 0.0883861 + 0.288122i
\(823\) −32.2502 37.2188i −1.12417 1.29736i −0.949861 0.312674i \(-0.898775\pi\)
−0.174312 0.984690i \(-0.555770\pi\)
\(824\) −1.54238 3.37735i −0.0537315 0.117656i
\(825\) 0.202946 + 0.0266868i 0.00706567 + 0.000929114i
\(826\) −4.60510 + 10.0838i −0.160232 + 0.350859i
\(827\) 0.0155306 0.00709261i 0.000540053 0.000246634i −0.415145 0.909755i \(-0.636269\pi\)
0.415685 + 0.909509i \(0.363542\pi\)
\(828\) −16.6522 + 2.80544i −0.578704 + 0.0974959i
\(829\) 21.5955 13.8786i 0.750044 0.482024i −0.108926 0.994050i \(-0.534741\pi\)
0.858970 + 0.512026i \(0.171105\pi\)
\(830\) 3.55434 + 0.511037i 0.123373 + 0.0177383i
\(831\) 37.5011 + 4.93127i 1.30090 + 0.171064i
\(832\) 0.0489584 0.0761807i 0.00169733 0.00264109i
\(833\) 1.41560i 0.0490478i
\(834\) 2.86706 + 18.3665i 0.0992780 + 0.635981i
\(835\) 6.64205 10.3352i 0.229858 0.357665i
\(836\) 1.44385 3.16160i 0.0499368 0.109346i
\(837\) −14.2970 + 34.5608i −0.494175 + 1.19459i
\(838\) −10.0319 + 8.69269i −0.346546 + 0.300284i
\(839\) −7.93665 3.62455i −0.274003 0.125133i 0.273675 0.961822i \(-0.411761\pi\)
−0.547678 + 0.836689i \(0.684488\pi\)
\(840\) 14.4095 32.5860i 0.497173 1.12433i
\(841\) 15.1538 0.522545
\(842\) 7.51017 0.258818
\(843\) 1.81358 + 0.801959i 0.0624629 + 0.0276209i
\(844\) −7.89462 2.31807i −0.271744 0.0797912i
\(845\) 4.19445 29.1731i 0.144294 1.00358i
\(846\) −17.5152 14.4527i −0.602184 0.496896i
\(847\) 42.7609 + 6.14809i 1.46928 + 0.211251i
\(848\) −10.1652 22.2586i −0.349073 0.764364i
\(849\) −5.59245 + 19.9317i −0.191932 + 0.684056i
\(850\) 0.00494979 0.0168574i 0.000169776 0.000578205i
\(851\) 14.6989 6.71277i 0.503872 0.230111i
\(852\) −21.9056 + 25.9047i −0.750472 + 0.887482i
\(853\) −6.72187 46.7516i −0.230152 1.60075i −0.697442 0.716641i \(-0.745679\pi\)
0.467290 0.884104i \(-0.345230\pi\)
\(854\) 2.82227 19.6293i 0.0965762 0.671702i
\(855\) 19.7857 13.4002i 0.676657 0.458277i
\(856\) 16.1292 13.9760i 0.551285 0.477691i
\(857\) 0.0169903 + 0.118170i 0.000580378 + 0.00403662i 0.990110 0.140296i \(-0.0448055\pi\)
−0.989529 + 0.144333i \(0.953896\pi\)
\(858\) 0.111272 + 0.125330i 0.00379876 + 0.00427869i
\(859\) −33.1855 + 21.3270i −1.13228 + 0.727669i −0.966034 0.258416i \(-0.916800\pi\)
−0.166242 + 0.986085i \(0.553163\pi\)
\(860\) −9.35775 31.8696i −0.319097 1.08674i
\(861\) −57.3953 16.1040i −1.95602 0.548821i
\(862\) 10.4783 + 9.07951i 0.356893 + 0.309249i
\(863\) 23.0197 35.8193i 0.783599 1.21930i −0.187883 0.982191i \(-0.560163\pi\)
0.971482 0.237113i \(-0.0762011\pi\)
\(864\) 7.18067 28.1876i 0.244292 0.958961i
\(865\) 8.98875 30.6129i 0.305627 1.04087i
\(866\) 0.263941 + 0.898900i 0.00896907 + 0.0305459i
\(867\) −8.62428 28.1136i −0.292896 0.954787i
\(868\) −19.7532 43.2535i −0.670467 1.46812i
\(869\) −5.38857 4.66922i −0.182795 0.158392i
\(870\) −1.38749 8.88834i −0.0470403 0.301343i
\(871\) −0.178131 + 2.10550i −0.00603572 + 0.0713420i
\(872\) 23.3806i 0.791769i
\(873\) 1.27740 + 0.546554i 0.0432335 + 0.0184980i
\(874\) −6.74668 + 3.08111i −0.228210 + 0.104220i
\(875\) 44.0835 6.33825i 1.49029 0.214272i
\(876\) 27.9485 13.1730i 0.944291 0.445075i
\(877\) 34.9047 + 10.2489i 1.17865 + 0.346082i 0.811653 0.584140i \(-0.198568\pi\)
0.366996 + 0.930223i \(0.380386\pi\)
\(878\) 7.50095 8.65656i 0.253145 0.292145i
\(879\) −9.99914 + 22.6124i −0.337263 + 0.762698i
\(880\) −1.72587 + 1.99176i −0.0581789 + 0.0671421i
\(881\) −5.87304 2.68213i −0.197868 0.0903632i 0.314017 0.949417i \(-0.398325\pi\)
−0.511885 + 0.859054i \(0.671052\pi\)
\(882\) −14.4997 + 9.82015i −0.488230 + 0.330662i
\(883\) 19.9374 + 31.0232i 0.670948 + 1.04402i 0.995183 + 0.0980386i \(0.0312569\pi\)
−0.324235 + 0.945977i \(0.605107\pi\)
\(884\) −0.0524124 + 0.0336834i −0.00176282 + 0.00113290i
\(885\) 16.7978 5.15298i 0.564651 0.173216i
\(886\) 0.843195 + 0.973098i 0.0283277 + 0.0326919i
\(887\) 6.53656 + 22.2615i 0.219476 + 0.747467i 0.993452 + 0.114252i \(0.0364471\pi\)
−0.773976 + 0.633215i \(0.781735\pi\)
\(888\) 0.216192 + 17.9361i 0.00725494 + 0.601896i
\(889\) 56.8257 8.17031i 1.90587 0.274023i
\(890\) 6.07376 5.26294i 0.203593 0.176414i
\(891\) −4.77155 2.75096i −0.159853 0.0921608i
\(892\) 19.1384 + 5.61954i 0.640801 + 0.188156i
\(893\) 39.2931 + 17.9446i 1.31489 + 0.600492i
\(894\) 0.0943879 0.0622795i 0.00315680 0.00208294i
\(895\) −4.51886 + 31.4293i −0.151049 + 1.05057i
\(896\) 25.0822 + 39.0286i 0.837937 + 1.30385i
\(897\) 0.0186692 + 1.54886i 0.000623346 + 0.0517150i
\(898\) 6.27545 21.3722i 0.209414 0.713200i
\(899\) −22.5318 14.4803i −0.751477 0.482945i
\(900\) −0.896543 + 0.286896i −0.0298848 + 0.00956320i
\(901\) 1.92332i 0.0640752i
\(902\) −2.66930 1.71546i −0.0888781 0.0571185i
\(903\) −17.0653 + 60.8215i −0.567897 + 2.02401i
\(904\) 13.5795 + 15.6715i 0.451646 + 0.521227i
\(905\) 17.4920 + 20.1868i 0.581453 + 0.671033i
\(906\) 0.102794 0.366361i 0.00341509 0.0121715i
\(907\) −47.8184 30.7310i −1.58778 1.02041i −0.972736 0.231917i \(-0.925500\pi\)
−0.615048 0.788490i \(-0.710863\pi\)
\(908\) 25.4750i 0.845418i
\(909\) −50.4228 + 16.1354i −1.67242 + 0.535178i
\(910\) −1.23241 0.792025i −0.0408541 0.0262554i
\(911\) 4.65688 15.8599i 0.154289 0.525461i −0.845677 0.533695i \(-0.820803\pi\)
0.999966 + 0.00823445i \(0.00262114\pi\)
\(912\) 0.137896 + 11.4403i 0.00456619 + 0.378827i
\(913\) 0.851180 + 1.32446i 0.0281699 + 0.0438333i
\(914\) −0.767724 + 5.33963i −0.0253940 + 0.176619i
\(915\) −26.2356 + 17.3109i −0.867322 + 0.572282i
\(916\) 23.6765 + 10.8127i 0.782292 + 0.357261i
\(917\) 38.3390 + 11.2574i 1.26607 + 0.371751i
\(918\) −0.296460 + 0.368231i −0.00978465 + 0.0121534i
\(919\) −28.2862 + 24.5102i −0.933077 + 0.808515i −0.981726 0.190301i \(-0.939054\pi\)
0.0486494 + 0.998816i \(0.484508\pi\)
\(920\) 17.3495 2.49448i 0.571995 0.0822404i
\(921\) −0.116503 9.66547i −0.00383889 0.318488i
\(922\) −0.981873 3.34395i −0.0323363 0.110127i
\(923\) 2.03781 + 2.35176i 0.0670754 + 0.0774092i
\(924\) 6.69447 2.05363i 0.220232 0.0675595i
\(925\) 0.757771 0.486990i 0.0249153 0.0160121i
\(926\) 1.86478 + 2.90165i 0.0612804 + 0.0953541i
\(927\) 4.15387 2.81327i 0.136431 0.0924000i
\(928\) 18.9479 + 8.65320i 0.621994 + 0.284055i
\(929\) −15.7730 + 18.2030i −0.517496 + 0.597223i −0.953002 0.302963i \(-0.902024\pi\)
0.435506 + 0.900186i \(0.356569\pi\)
\(930\) 7.03754 15.9149i 0.230770 0.521871i
\(931\) 21.8151 25.1760i 0.714961 0.825109i
\(932\) 20.5013 + 6.01974i 0.671544 + 0.197183i
\(933\) 41.6094 19.6119i 1.36223 0.642063i
\(934\) 11.6556 1.67583i 0.381384 0.0548347i
\(935\) 0.188427 0.0860518i 0.00616223 0.00281420i
\(936\) −1.58081 0.676371i −0.0516704 0.0221079i
\(937\) 15.5658i 0.508514i −0.967137 0.254257i \(-0.918169\pi\)
0.967137 0.254257i \(-0.0818309\pi\)
\(938\) −17.7620 10.0007i −0.579950 0.326536i
\(939\) 0.751683 + 4.81532i 0.0245302 + 0.157142i
\(940\) −34.5824 29.9658i −1.12795 0.977378i
\(941\) 5.43985 + 11.9116i 0.177334 + 0.388308i 0.977337 0.211688i \(-0.0678962\pi\)
−0.800003 + 0.599996i \(0.795169\pi\)
\(942\) −1.06636 3.47615i −0.0347440 0.113259i
\(943\) −8.26198 28.1377i −0.269047 0.916290i
\(944\) −2.37004 + 8.07161i −0.0771382 + 0.262708i
\(945\) 46.6534 + 11.8848i 1.51764 + 0.386612i
\(946\) −1.81786 + 2.82865i −0.0591038 + 0.0919673i
\(947\) 29.0057 + 25.1336i 0.942560 + 0.816733i 0.983217 0.182440i \(-0.0583996\pi\)
−0.0406570 + 0.999173i \(0.512945\pi\)
\(948\) 31.5703 + 8.85798i 1.02535 + 0.287694i
\(949\) −0.798460 2.71930i −0.0259191 0.0882723i
\(950\) −0.347811 + 0.223524i −0.0112845 + 0.00725209i
\(951\) −31.1066 35.0366i −1.00870 1.13614i
\(952\) −0.190818 1.32717i −0.00618446 0.0430139i
\(953\) −28.7670 + 24.9268i −0.931855 + 0.807457i −0.981530 0.191308i \(-0.938727\pi\)
0.0496747 + 0.998765i \(0.484182\pi\)
\(954\) −19.7002 + 13.3422i −0.637816 + 0.431971i
\(955\) −7.05035 + 49.0363i −0.228144 + 1.58678i
\(956\) −0.705042 4.90367i −0.0228027 0.158596i
\(957\) 2.54679 3.01174i 0.0823259 0.0973558i
\(958\) 16.9074 7.72136i 0.546254 0.249466i
\(959\) 9.32936 31.7729i 0.301261 1.02600i
\(960\) 0.374049 1.33313i 0.0120724 0.0430265i
\(961\) −8.64446 18.9287i −0.278853 0.610604i
\(962\) 0.730017 + 0.104961i 0.0235367 + 0.00338407i
\(963\) 22.2428 + 18.3538i 0.716766 + 0.591443i
\(964\) −3.46016 + 24.0660i −0.111444 + 0.775113i
\(965\) −6.62099 1.94410i −0.213137 0.0625827i
\(966\) −13.6662 6.04314i −0.439702 0.194435i
\(967\) 21.6457 0.696080 0.348040 0.937480i \(-0.386847\pi\)
0.348040 + 0.937480i \(0.386847\pi\)
\(968\) −23.5910 −0.758243
\(969\) 0.363684 0.822447i 0.0116832 0.0264208i
\(970\) −0.588030 0.268544i −0.0188805 0.00862244i
\(971\) 18.3159 15.8709i 0.587787 0.509320i −0.309423 0.950924i \(-0.600136\pi\)
0.897210 + 0.441604i \(0.145590\pi\)
\(972\) 25.2425 + 2.08814i 0.809654 + 0.0669771i
\(973\) 29.5944 64.8026i 0.948752 2.07748i
\(974\) −12.1994 + 18.9827i −0.390895 + 0.608244i
\(975\) 0.0133173 + 0.0853116i 0.000426496 + 0.00273216i
\(976\) 15.0491i 0.481709i
\(977\) 7.80324 12.1421i 0.249648 0.388459i −0.693701 0.720263i \(-0.744021\pi\)
0.943348 + 0.331804i \(0.107657\pi\)
\(978\) −13.8917 1.82672i −0.444209 0.0584121i
\(979\) 3.48776 + 0.501465i 0.111469 + 0.0160269i
\(980\) −29.6867 + 19.0785i −0.948306 + 0.609439i
\(981\) −31.1532 + 5.24847i −0.994645 + 0.167571i
\(982\) 2.06813 0.944482i 0.0659966 0.0301396i
\(983\) −18.6161 + 40.7636i −0.593761 + 1.30016i 0.339381 + 0.940649i \(0.389782\pi\)
−0.933142 + 0.359507i \(0.882945\pi\)
\(984\) 32.2749 + 4.24405i 1.02889 + 0.135295i
\(985\) −8.35554 18.2961i −0.266230 0.582962i
\(986\) −0.221694 0.255849i −0.00706018 0.00814788i
\(987\) 25.5230 + 83.2005i 0.812407 + 2.64830i
\(988\) 1.45121 + 0.208653i 0.0461692 + 0.00663813i
\(989\) −29.8174 + 8.75518i −0.948139 + 0.278399i
\(990\) 2.18854 + 1.33307i 0.0695565 + 0.0423677i
\(991\) −8.69478 + 1.25012i −0.276199 + 0.0397114i −0.279022 0.960285i \(-0.590010\pi\)
0.00282349 + 0.999996i \(0.499101\pi\)
\(992\) 21.7842 + 33.8969i 0.691649 + 1.07623i
\(993\) −10.2061 11.4956i −0.323882 0.364802i
\(994\) −28.8033 + 8.45740i −0.913584 + 0.268252i
\(995\) 24.2108 53.0142i 0.767534 1.68066i
\(996\) −6.13758 3.84065i −0.194477 0.121696i
\(997\) −3.46562 2.22722i −0.109757 0.0705368i 0.484611 0.874730i \(-0.338961\pi\)
−0.594368 + 0.804193i \(0.702598\pi\)
\(998\) −3.94323 3.41683i −0.124821 0.108158i
\(999\) −23.8502 + 4.31434i −0.754586 + 0.136500i
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 201.2.j.a.5.12 yes 200
3.2 odd 2 inner 201.2.j.a.5.9 200
67.27 odd 22 inner 201.2.j.a.161.9 yes 200
201.161 even 22 inner 201.2.j.a.161.12 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
201.2.j.a.5.9 200 3.2 odd 2 inner
201.2.j.a.5.12 yes 200 1.1 even 1 trivial
201.2.j.a.161.9 yes 200 67.27 odd 22 inner
201.2.j.a.161.12 yes 200 201.161 even 22 inner