Properties

Label 189.2.w.a.25.14
Level $189$
Weight $2$
Character 189.25
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(25,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([10, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.w (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.14
Character \(\chi\) \(=\) 189.25
Dual form 189.2.w.a.121.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.562011 - 0.204555i) q^{2} +(-0.692899 - 1.58742i) q^{3} +(-1.25807 + 1.05565i) q^{4} +(-2.61250 - 0.950872i) q^{5} +(-0.714132 - 0.750410i) q^{6} +(-0.229775 - 2.63575i) q^{7} +(-1.08919 + 1.88654i) q^{8} +(-2.03978 + 2.19984i) q^{9} +O(q^{10})\) \(q+(0.562011 - 0.204555i) q^{2} +(-0.692899 - 1.58742i) q^{3} +(-1.25807 + 1.05565i) q^{4} +(-2.61250 - 0.950872i) q^{5} +(-0.714132 - 0.750410i) q^{6} +(-0.229775 - 2.63575i) q^{7} +(-1.08919 + 1.88654i) q^{8} +(-2.03978 + 2.19984i) q^{9} -1.66276 q^{10} +(-1.41497 + 0.515008i) q^{11} +(2.54748 + 1.26563i) q^{12} +(-0.726972 - 4.12286i) q^{13} +(-0.668294 - 1.43432i) q^{14} +(0.300767 + 4.80598i) q^{15} +(0.344127 - 1.95164i) q^{16} -0.701659 q^{17} +(-0.696393 + 1.65358i) q^{18} +4.97867 q^{19} +(4.29051 - 1.56162i) q^{20} +(-4.02483 + 2.19106i) q^{21} +(-0.689883 + 0.578881i) q^{22} +(-0.667683 - 3.78662i) q^{23} +(3.74942 + 0.421824i) q^{24} +(2.09077 + 1.75436i) q^{25} +(-1.25192 - 2.16839i) q^{26} +(4.90542 + 1.71372i) q^{27} +(3.07151 + 3.07342i) q^{28} +(-0.719384 + 4.07983i) q^{29} +(1.15212 + 2.63949i) q^{30} +(-2.92411 + 2.45362i) q^{31} +(-0.962362 - 5.45782i) q^{32} +(1.79796 + 1.88930i) q^{33} +(-0.394340 + 0.143528i) q^{34} +(-1.90598 + 7.10439i) q^{35} +(0.243941 - 4.92086i) q^{36} +(4.84240 - 8.38728i) q^{37} +(2.79807 - 1.01841i) q^{38} +(-6.04098 + 4.01073i) q^{39} +(4.63937 - 3.89290i) q^{40} +(-1.48070 - 8.39748i) q^{41} +(-1.81381 + 2.05470i) q^{42} +(6.01954 + 5.05099i) q^{43} +(1.23647 - 2.14163i) q^{44} +(7.42069 - 3.80750i) q^{45} +(-1.14982 - 1.99155i) q^{46} +(-7.83386 - 6.57339i) q^{47} +(-3.33652 + 0.806017i) q^{48} +(-6.89441 + 1.21126i) q^{49} +(1.53390 + 0.558294i) q^{50} +(0.486178 + 1.11382i) q^{51} +(5.26688 + 4.41944i) q^{52} +(-3.37264 + 5.84158i) q^{53} +(3.10745 - 0.0402997i) q^{54} +4.18632 q^{55} +(5.22272 + 2.43737i) q^{56} +(-3.44971 - 7.90322i) q^{57} +(0.430249 + 2.44006i) q^{58} +(2.34202 + 13.2823i) q^{59} +(-5.45182 - 5.72878i) q^{60} +(2.19956 + 1.84565i) q^{61} +(-1.14148 + 1.97710i) q^{62} +(6.26692 + 4.87090i) q^{63} +(0.324465 + 0.561990i) q^{64} +(-2.02110 + 11.4622i) q^{65} +(1.39694 + 0.694026i) q^{66} +(0.343850 + 0.125151i) q^{67} +(0.882739 - 0.740706i) q^{68} +(-5.54831 + 3.68364i) q^{69} +(0.382061 + 4.38263i) q^{70} +(-2.81314 - 4.87251i) q^{71} +(-1.92836 - 6.24418i) q^{72} +(-7.07118 - 12.2476i) q^{73} +(1.00582 - 5.70429i) q^{74} +(1.33621 - 4.53452i) q^{75} +(-6.26354 + 5.25573i) q^{76} +(1.68256 + 3.61119i) q^{77} +(-2.57468 + 3.48979i) q^{78} +(-7.98730 + 2.90714i) q^{79} +(-2.75479 + 4.77144i) q^{80} +(-0.678570 - 8.97438i) q^{81} +(-2.54992 - 4.41659i) q^{82} +(0.502952 - 2.85238i) q^{83} +(2.75055 - 7.00533i) q^{84} +(1.83308 + 0.667187i) q^{85} +(4.41626 + 1.60739i) q^{86} +(6.97485 - 1.68495i) q^{87} +(0.569597 - 3.23034i) q^{88} +6.20817 q^{89} +(3.39167 - 3.65780i) q^{90} +(-10.6998 + 2.86345i) q^{91} +(4.83734 + 4.05901i) q^{92} +(5.92102 + 2.94167i) q^{93} +(-5.74734 - 2.09186i) q^{94} +(-13.0068 - 4.73407i) q^{95} +(-7.99702 + 5.30939i) q^{96} +(-1.90707 - 1.60023i) q^{97} +(-3.62697 + 2.09103i) q^{98} +(1.75330 - 4.16321i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} + 3 q^{9} - 6 q^{10} + 3 q^{11} - 3 q^{12} - 12 q^{13} + 15 q^{14} - 9 q^{16} - 54 q^{17} - 3 q^{18} - 6 q^{19} - 18 q^{20} - 21 q^{21} - 12 q^{22} + 45 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 57 q^{30} - 3 q^{31} + 51 q^{32} + 15 q^{33} - 18 q^{34} - 12 q^{35} - 60 q^{36} + 3 q^{37} - 57 q^{38} - 66 q^{39} - 66 q^{40} + 33 q^{42} - 12 q^{43} + 3 q^{44} + 33 q^{45} + 3 q^{46} - 21 q^{47} + 90 q^{48} + 12 q^{49} - 39 q^{50} - 48 q^{51} + 9 q^{52} + 9 q^{53} - 63 q^{54} - 24 q^{55} + 57 q^{56} - 18 q^{57} - 3 q^{58} - 18 q^{59} + 81 q^{60} + 33 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} + 81 q^{65} + 69 q^{66} - 3 q^{67} + 6 q^{68} - 6 q^{69} - 42 q^{70} - 18 q^{71} - 105 q^{72} + 21 q^{73} - 93 q^{74} + 18 q^{75} - 24 q^{76} + 87 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} + 39 q^{81} - 6 q^{82} - 42 q^{83} - 36 q^{84} - 63 q^{85} + 159 q^{86} + 30 q^{87} + 57 q^{88} - 150 q^{89} - 39 q^{90} + 6 q^{91} - 66 q^{92} - 27 q^{93} + 33 q^{94} - 147 q^{95} + 81 q^{96} - 12 q^{97} + 99 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.562011 0.204555i 0.397402 0.144643i −0.135585 0.990766i \(-0.543292\pi\)
0.532987 + 0.846123i \(0.321069\pi\)
\(3\) −0.692899 1.58742i −0.400045 0.916495i
\(4\) −1.25807 + 1.05565i −0.629037 + 0.527825i
\(5\) −2.61250 0.950872i −1.16834 0.425243i −0.316273 0.948668i \(-0.602432\pi\)
−0.852072 + 0.523425i \(0.824654\pi\)
\(6\) −0.714132 0.750410i −0.291543 0.306354i
\(7\) −0.229775 2.63575i −0.0868468 0.996222i
\(8\) −1.08919 + 1.88654i −0.385088 + 0.666992i
\(9\) −2.03978 + 2.19984i −0.679928 + 0.733279i
\(10\) −1.66276 −0.525811
\(11\) −1.41497 + 0.515008i −0.426630 + 0.155281i −0.546406 0.837520i \(-0.684005\pi\)
0.119776 + 0.992801i \(0.461782\pi\)
\(12\) 2.54748 + 1.26563i 0.735393 + 0.365356i
\(13\) −0.726972 4.12286i −0.201626 1.14348i −0.902662 0.430350i \(-0.858390\pi\)
0.701036 0.713126i \(-0.252721\pi\)
\(14\) −0.668294 1.43432i −0.178609 0.383339i
\(15\) 0.300767 + 4.80598i 0.0776577 + 1.24090i
\(16\) 0.344127 1.95164i 0.0860318 0.487911i
\(17\) −0.701659 −0.170177 −0.0850886 0.996373i \(-0.527117\pi\)
−0.0850886 + 0.996373i \(0.527117\pi\)
\(18\) −0.696393 + 1.65358i −0.164141 + 0.389753i
\(19\) 4.97867 1.14218 0.571092 0.820886i \(-0.306520\pi\)
0.571092 + 0.820886i \(0.306520\pi\)
\(20\) 4.29051 1.56162i 0.959386 0.349188i
\(21\) −4.02483 + 2.19106i −0.878290 + 0.478128i
\(22\) −0.689883 + 0.578881i −0.147084 + 0.123418i
\(23\) −0.667683 3.78662i −0.139222 0.789565i −0.971826 0.235697i \(-0.924263\pi\)
0.832605 0.553867i \(-0.186849\pi\)
\(24\) 3.74942 + 0.421824i 0.765348 + 0.0861045i
\(25\) 2.09077 + 1.75436i 0.418154 + 0.350873i
\(26\) −1.25192 2.16839i −0.245522 0.425256i
\(27\) 4.90542 + 1.71372i 0.944049 + 0.329806i
\(28\) 3.07151 + 3.07342i 0.580461 + 0.580821i
\(29\) −0.719384 + 4.07983i −0.133586 + 0.757605i 0.842248 + 0.539091i \(0.181232\pi\)
−0.975834 + 0.218514i \(0.929879\pi\)
\(30\) 1.15212 + 2.63949i 0.210348 + 0.481903i
\(31\) −2.92411 + 2.45362i −0.525185 + 0.440683i −0.866435 0.499290i \(-0.833594\pi\)
0.341250 + 0.939973i \(0.389150\pi\)
\(32\) −0.962362 5.45782i −0.170123 0.964816i
\(33\) 1.79796 + 1.88930i 0.312986 + 0.328885i
\(34\) −0.394340 + 0.143528i −0.0676288 + 0.0246149i
\(35\) −1.90598 + 7.10439i −0.322169 + 1.20086i
\(36\) 0.243941 4.92086i 0.0406568 0.820143i
\(37\) 4.84240 8.38728i 0.796086 1.37886i −0.126062 0.992022i \(-0.540234\pi\)
0.922147 0.386839i \(-0.126433\pi\)
\(38\) 2.79807 1.01841i 0.453907 0.165208i
\(39\) −6.04098 + 4.01073i −0.967331 + 0.642231i
\(40\) 4.63937 3.89290i 0.733549 0.615521i
\(41\) −1.48070 8.39748i −0.231247 1.31147i −0.850376 0.526176i \(-0.823625\pi\)
0.619129 0.785289i \(-0.287486\pi\)
\(42\) −1.81381 + 2.05470i −0.279877 + 0.317047i
\(43\) 6.01954 + 5.05099i 0.917971 + 0.770269i 0.973619 0.228181i \(-0.0732778\pi\)
−0.0556474 + 0.998450i \(0.517722\pi\)
\(44\) 1.23647 2.14163i 0.186405 0.322864i
\(45\) 7.42069 3.80750i 1.10621 0.567589i
\(46\) −1.14982 1.99155i −0.169532 0.293637i
\(47\) −7.83386 6.57339i −1.14269 0.958827i −0.143162 0.989699i \(-0.545727\pi\)
−0.999523 + 0.0308721i \(0.990172\pi\)
\(48\) −3.33652 + 0.806017i −0.481585 + 0.116339i
\(49\) −6.89441 + 1.21126i −0.984915 + 0.173037i
\(50\) 1.53390 + 0.558294i 0.216926 + 0.0789547i
\(51\) 0.486178 + 1.11382i 0.0680786 + 0.155967i
\(52\) 5.26688 + 4.41944i 0.730385 + 0.612866i
\(53\) −3.37264 + 5.84158i −0.463268 + 0.802403i −0.999121 0.0419076i \(-0.986656\pi\)
0.535854 + 0.844311i \(0.319990\pi\)
\(54\) 3.10745 0.0402997i 0.422871 0.00548409i
\(55\) 4.18632 0.564483
\(56\) 5.22272 + 2.43737i 0.697916 + 0.325707i
\(57\) −3.44971 7.90322i −0.456925 1.04681i
\(58\) 0.430249 + 2.44006i 0.0564945 + 0.320396i
\(59\) 2.34202 + 13.2823i 0.304905 + 1.72920i 0.623950 + 0.781465i \(0.285527\pi\)
−0.319044 + 0.947740i \(0.603362\pi\)
\(60\) −5.45182 5.72878i −0.703827 0.739582i
\(61\) 2.19956 + 1.84565i 0.281625 + 0.236311i 0.772647 0.634836i \(-0.218932\pi\)
−0.491023 + 0.871147i \(0.663377\pi\)
\(62\) −1.14148 + 1.97710i −0.144968 + 0.251092i
\(63\) 6.26692 + 4.87090i 0.789558 + 0.613676i
\(64\) 0.324465 + 0.561990i 0.0405581 + 0.0702487i
\(65\) −2.02110 + 11.4622i −0.250687 + 1.42171i
\(66\) 1.39694 + 0.694026i 0.171952 + 0.0854287i
\(67\) 0.343850 + 0.125151i 0.0420079 + 0.0152896i 0.362939 0.931813i \(-0.381773\pi\)
−0.320931 + 0.947103i \(0.603996\pi\)
\(68\) 0.882739 0.740706i 0.107048 0.0898238i
\(69\) −5.54831 + 3.68364i −0.667938 + 0.443458i
\(70\) 0.382061 + 4.38263i 0.0456650 + 0.523824i
\(71\) −2.81314 4.87251i −0.333859 0.578260i 0.649406 0.760442i \(-0.275018\pi\)
−0.983265 + 0.182181i \(0.941684\pi\)
\(72\) −1.92836 6.24418i −0.227259 0.735883i
\(73\) −7.07118 12.2476i −0.827619 1.43348i −0.899901 0.436094i \(-0.856362\pi\)
0.0722820 0.997384i \(-0.476972\pi\)
\(74\) 1.00582 5.70429i 0.116924 0.663110i
\(75\) 1.33621 4.53452i 0.154293 0.523601i
\(76\) −6.26354 + 5.25573i −0.718477 + 0.602874i
\(77\) 1.68256 + 3.61119i 0.191746 + 0.411533i
\(78\) −2.57468 + 3.48979i −0.291525 + 0.395141i
\(79\) −7.98730 + 2.90714i −0.898641 + 0.327079i −0.749708 0.661769i \(-0.769806\pi\)
−0.148933 + 0.988847i \(0.547584\pi\)
\(80\) −2.75479 + 4.77144i −0.307995 + 0.533464i
\(81\) −0.678570 8.97438i −0.0753967 0.997154i
\(82\) −2.54992 4.41659i −0.281592 0.487731i
\(83\) 0.502952 2.85238i 0.0552062 0.313090i −0.944683 0.327985i \(-0.893630\pi\)
0.999889 + 0.0148953i \(0.00474151\pi\)
\(84\) 2.75055 7.00533i 0.300109 0.764344i
\(85\) 1.83308 + 0.667187i 0.198826 + 0.0723666i
\(86\) 4.41626 + 1.60739i 0.476217 + 0.173329i
\(87\) 6.97485 1.68495i 0.747782 0.180645i
\(88\) 0.569597 3.23034i 0.0607192 0.344356i
\(89\) 6.20817 0.658065 0.329032 0.944319i \(-0.393277\pi\)
0.329032 + 0.944319i \(0.393277\pi\)
\(90\) 3.39167 3.65780i 0.357513 0.385566i
\(91\) −10.6998 + 2.86345i −1.12164 + 0.300171i
\(92\) 4.83734 + 4.05901i 0.504328 + 0.423181i
\(93\) 5.92102 + 2.94167i 0.613981 + 0.305037i
\(94\) −5.74734 2.09186i −0.592793 0.215759i
\(95\) −13.0068 4.73407i −1.33447 0.485706i
\(96\) −7.99702 + 5.30939i −0.816193 + 0.541887i
\(97\) −1.90707 1.60023i −0.193634 0.162478i 0.540816 0.841141i \(-0.318115\pi\)
−0.734450 + 0.678663i \(0.762560\pi\)
\(98\) −3.62697 + 2.09103i −0.366379 + 0.211226i
\(99\) 1.75330 4.16321i 0.176214 0.418419i
\(100\) −4.48234 −0.448234
\(101\) 2.38180 13.5079i 0.236998 1.34408i −0.601366 0.798973i \(-0.705377\pi\)
0.838365 0.545110i \(-0.183512\pi\)
\(102\) 0.501077 + 0.526532i 0.0496140 + 0.0521344i
\(103\) 5.68121 + 2.06779i 0.559786 + 0.203745i 0.606389 0.795168i \(-0.292617\pi\)
−0.0466032 + 0.998913i \(0.514840\pi\)
\(104\) 8.56975 + 3.11913i 0.840333 + 0.305856i
\(105\) 12.5983 1.89704i 1.22947 0.185132i
\(106\) −0.700534 + 3.97293i −0.0680419 + 0.385885i
\(107\) −1.71770 2.97514i −0.166056 0.287618i 0.770974 0.636867i \(-0.219770\pi\)
−0.937030 + 0.349249i \(0.886437\pi\)
\(108\) −7.98048 + 3.02242i −0.767922 + 0.290832i
\(109\) 2.74535 4.75509i 0.262957 0.455455i −0.704069 0.710131i \(-0.748636\pi\)
0.967026 + 0.254677i \(0.0819690\pi\)
\(110\) 2.35276 0.856335i 0.224327 0.0816483i
\(111\) −16.6694 1.87537i −1.58219 0.178002i
\(112\) −5.22313 0.458597i −0.493539 0.0433333i
\(113\) 9.96089 8.35818i 0.937042 0.786272i −0.0400260 0.999199i \(-0.512744\pi\)
0.977068 + 0.212927i \(0.0682996\pi\)
\(114\) −3.55542 3.73604i −0.332996 0.349912i
\(115\) −1.85627 + 10.5274i −0.173098 + 0.981687i
\(116\) −3.40183 5.89215i −0.315852 0.547072i
\(117\) 10.5525 + 6.81052i 0.975578 + 0.629633i
\(118\) 4.03320 + 6.98571i 0.371287 + 0.643087i
\(119\) 0.161224 + 1.84940i 0.0147793 + 0.169534i
\(120\) −9.39426 4.66723i −0.857575 0.426058i
\(121\) −6.68957 + 5.61322i −0.608143 + 0.510293i
\(122\) 1.61371 + 0.587344i 0.146099 + 0.0531756i
\(123\) −12.3043 + 8.16909i −1.10944 + 0.736582i
\(124\) 1.08858 6.17367i 0.0977577 0.554412i
\(125\) 3.15645 + 5.46713i 0.282322 + 0.488995i
\(126\) 4.51845 + 1.45557i 0.402536 + 0.129672i
\(127\) −6.48791 + 11.2374i −0.575709 + 0.997157i 0.420255 + 0.907406i \(0.361940\pi\)
−0.995964 + 0.0897511i \(0.971393\pi\)
\(128\) 8.78818 + 7.37416i 0.776773 + 0.651790i
\(129\) 3.84710 13.0553i 0.338718 1.14946i
\(130\) 1.20878 + 6.85533i 0.106017 + 0.601252i
\(131\) −1.19643 6.78529i −0.104533 0.592833i −0.991406 0.130821i \(-0.958239\pi\)
0.886873 0.462012i \(-0.152872\pi\)
\(132\) −4.25642 0.478863i −0.370474 0.0416797i
\(133\) −1.14397 13.1225i −0.0991950 1.13787i
\(134\) 0.218848 0.0189056
\(135\) −11.1859 9.14152i −0.962727 0.786777i
\(136\) 0.764242 1.32371i 0.0655332 0.113507i
\(137\) 9.59459 + 8.05081i 0.819721 + 0.687828i 0.952907 0.303264i \(-0.0980763\pi\)
−0.133186 + 0.991091i \(0.542521\pi\)
\(138\) −2.36470 + 3.20518i −0.201297 + 0.272843i
\(139\) −9.82761 3.57696i −0.833567 0.303394i −0.110245 0.993904i \(-0.535164\pi\)
−0.723322 + 0.690511i \(0.757386\pi\)
\(140\) −5.10189 10.9499i −0.431188 0.925436i
\(141\) −5.00664 + 16.9903i −0.421635 + 1.43084i
\(142\) −2.57772 2.16296i −0.216317 0.181512i
\(143\) 3.15195 + 5.45934i 0.263579 + 0.456533i
\(144\) 3.59135 + 4.73795i 0.299279 + 0.394829i
\(145\) 5.75878 9.97450i 0.478241 0.828337i
\(146\) −6.47941 5.43687i −0.536239 0.449958i
\(147\) 6.69990 + 10.1050i 0.552598 + 0.833448i
\(148\) 2.76194 + 15.6637i 0.227030 + 1.28755i
\(149\) 2.22360 1.86582i 0.182164 0.152854i −0.547146 0.837037i \(-0.684286\pi\)
0.729310 + 0.684183i \(0.239841\pi\)
\(150\) −0.176592 2.82178i −0.0144187 0.230397i
\(151\) 12.6978 4.62161i 1.03333 0.376101i 0.230982 0.972958i \(-0.425806\pi\)
0.802348 + 0.596857i \(0.203584\pi\)
\(152\) −5.42273 + 9.39245i −0.439842 + 0.761828i
\(153\) 1.43123 1.54354i 0.115708 0.124787i
\(154\) 1.68431 + 1.68535i 0.135725 + 0.135809i
\(155\) 9.97230 3.62962i 0.800994 0.291538i
\(156\) 3.36608 11.4230i 0.269502 0.914569i
\(157\) −2.91833 16.5507i −0.232908 1.32089i −0.846974 0.531634i \(-0.821578\pi\)
0.614066 0.789255i \(-0.289533\pi\)
\(158\) −3.89428 + 3.26769i −0.309812 + 0.259964i
\(159\) 11.6099 + 1.30616i 0.920727 + 0.103585i
\(160\) −2.67552 + 15.1736i −0.211519 + 1.19958i
\(161\) −9.82719 + 2.62992i −0.774491 + 0.207267i
\(162\) −2.21712 4.90490i −0.174194 0.385365i
\(163\) 7.85368 + 13.6030i 0.615148 + 1.06547i 0.990359 + 0.138528i \(0.0442370\pi\)
−0.375211 + 0.926939i \(0.622430\pi\)
\(164\) 10.7276 + 9.00155i 0.837687 + 0.702903i
\(165\) −2.90070 6.64543i −0.225819 0.517346i
\(166\) −0.300806 1.70595i −0.0233470 0.132408i
\(167\) −4.13481 + 3.46951i −0.319961 + 0.268479i −0.788594 0.614914i \(-0.789191\pi\)
0.468634 + 0.883393i \(0.344746\pi\)
\(168\) 0.250301 9.97949i 0.0193112 0.769934i
\(169\) −4.25349 + 1.54814i −0.327191 + 0.119088i
\(170\) 1.16669 0.0894810
\(171\) −10.1554 + 10.9523i −0.776603 + 0.837540i
\(172\) −12.9051 −0.984006
\(173\) −2.12120 + 12.0299i −0.161272 + 0.914618i 0.791554 + 0.611099i \(0.209272\pi\)
−0.952826 + 0.303518i \(0.901839\pi\)
\(174\) 3.57528 2.37370i 0.271041 0.179950i
\(175\) 4.14367 5.91386i 0.313232 0.447046i
\(176\) 0.518181 + 2.93875i 0.0390594 + 0.221517i
\(177\) 19.4617 12.9210i 1.46283 0.971204i
\(178\) 3.48906 1.26992i 0.261516 0.0951842i
\(179\) 25.5769 1.91171 0.955853 0.293845i \(-0.0949350\pi\)
0.955853 + 0.293845i \(0.0949350\pi\)
\(180\) −5.31640 + 12.6238i −0.396261 + 0.940921i
\(181\) 9.00898 15.6040i 0.669632 1.15984i −0.308374 0.951265i \(-0.599785\pi\)
0.978007 0.208572i \(-0.0668817\pi\)
\(182\) −5.42768 + 3.79799i −0.402326 + 0.281526i
\(183\) 1.40574 4.77046i 0.103915 0.352643i
\(184\) 7.87084 + 2.86475i 0.580246 + 0.211192i
\(185\) −20.6260 + 17.3073i −1.51645 + 1.27246i
\(186\) 3.92942 + 0.442074i 0.288119 + 0.0324144i
\(187\) 0.992828 0.361360i 0.0726028 0.0264252i
\(188\) 16.7948 1.22489
\(189\) 3.38981 13.3233i 0.246572 0.969124i
\(190\) −8.27833 −0.600573
\(191\) 9.96367 3.62648i 0.720946 0.262403i 0.0446184 0.999004i \(-0.485793\pi\)
0.676327 + 0.736601i \(0.263571\pi\)
\(192\) 0.667291 0.904463i 0.0481576 0.0652740i
\(193\) 7.98149 6.69726i 0.574520 0.482080i −0.308622 0.951185i \(-0.599868\pi\)
0.883142 + 0.469105i \(0.155423\pi\)
\(194\) −1.39913 0.509243i −0.100452 0.0365615i
\(195\) 19.5957 4.73383i 1.40328 0.338997i
\(196\) 7.39501 8.80194i 0.528215 0.628710i
\(197\) 12.6850 21.9712i 0.903772 1.56538i 0.0812156 0.996697i \(-0.474120\pi\)
0.822557 0.568683i \(-0.192547\pi\)
\(198\) 0.133769 2.69842i 0.00950651 0.191768i
\(199\) 7.63927 0.541533 0.270767 0.962645i \(-0.412723\pi\)
0.270767 + 0.962645i \(0.412723\pi\)
\(200\) −5.58693 + 2.03347i −0.395055 + 0.143788i
\(201\) −0.0395861 0.632550i −0.00279219 0.0446166i
\(202\) −1.42451 8.07879i −0.100228 0.568422i
\(203\) 10.9187 + 0.958677i 0.766344 + 0.0672859i
\(204\) −1.78746 0.888041i −0.125147 0.0621753i
\(205\) −4.11659 + 23.3464i −0.287515 + 1.63058i
\(206\) 3.61588 0.251930
\(207\) 9.69188 + 6.25509i 0.673632 + 0.434759i
\(208\) −8.29652 −0.575260
\(209\) −7.04468 + 2.56405i −0.487291 + 0.177359i
\(210\) 6.69233 3.64321i 0.461814 0.251405i
\(211\) −0.909797 + 0.763410i −0.0626330 + 0.0525553i −0.673567 0.739126i \(-0.735239\pi\)
0.610934 + 0.791682i \(0.290794\pi\)
\(212\) −1.92364 10.9095i −0.132116 0.749266i
\(213\) −5.78548 + 7.84178i −0.396414 + 0.537310i
\(214\) −1.57395 1.32070i −0.107593 0.0902812i
\(215\) −10.9232 18.9195i −0.744956 1.29030i
\(216\) −8.57595 + 7.38769i −0.583520 + 0.502669i
\(217\) 7.13902 + 7.14345i 0.484628 + 0.484929i
\(218\) 0.570239 3.23399i 0.0386215 0.219033i
\(219\) −14.5425 + 19.7113i −0.982691 + 1.33197i
\(220\) −5.26671 + 4.41929i −0.355081 + 0.297948i
\(221\) 0.510086 + 2.89284i 0.0343121 + 0.194594i
\(222\) −9.75201 + 2.35584i −0.654512 + 0.158114i
\(223\) −3.14405 + 1.14434i −0.210541 + 0.0766308i −0.445138 0.895462i \(-0.646845\pi\)
0.234597 + 0.972093i \(0.424623\pi\)
\(224\) −14.1644 + 3.79062i −0.946396 + 0.253271i
\(225\) −8.12403 + 1.02083i −0.541602 + 0.0680554i
\(226\) 3.88842 6.73495i 0.258654 0.448002i
\(227\) −18.3436 + 6.67653i −1.21751 + 0.443137i −0.869302 0.494281i \(-0.835431\pi\)
−0.348207 + 0.937418i \(0.613209\pi\)
\(228\) 12.6830 + 6.30115i 0.839954 + 0.417304i
\(229\) −6.53643 + 5.48471i −0.431939 + 0.362440i −0.832683 0.553750i \(-0.813196\pi\)
0.400744 + 0.916190i \(0.368752\pi\)
\(230\) 1.11020 + 6.29624i 0.0732042 + 0.415162i
\(231\) 4.56661 5.17311i 0.300461 0.340366i
\(232\) −6.91320 5.80087i −0.453874 0.380846i
\(233\) −3.05280 + 5.28761i −0.199996 + 0.346403i −0.948527 0.316697i \(-0.897426\pi\)
0.748531 + 0.663100i \(0.230760\pi\)
\(234\) 7.32375 + 1.66902i 0.478768 + 0.109107i
\(235\) 14.2155 + 24.6220i 0.927317 + 1.60616i
\(236\) −16.9679 14.2377i −1.10451 0.926798i
\(237\) 10.1492 + 10.6648i 0.659263 + 0.692754i
\(238\) 0.468914 + 1.00640i 0.0303952 + 0.0652355i
\(239\) 10.6651 + 3.88179i 0.689870 + 0.251092i 0.663080 0.748549i \(-0.269249\pi\)
0.0267904 + 0.999641i \(0.491471\pi\)
\(240\) 9.48306 + 1.06688i 0.612129 + 0.0688668i
\(241\) 3.51665 + 2.95082i 0.226527 + 0.190079i 0.748986 0.662585i \(-0.230541\pi\)
−0.522459 + 0.852664i \(0.674985\pi\)
\(242\) −2.61140 + 4.52308i −0.167867 + 0.290755i
\(243\) −13.7759 + 7.29551i −0.883725 + 0.468007i
\(244\) −4.71557 −0.301883
\(245\) 19.1634 + 3.39128i 1.22430 + 0.216661i
\(246\) −5.24414 + 7.10804i −0.334354 + 0.453192i
\(247\) −3.61935 20.5264i −0.230294 1.30606i
\(248\) −1.44392 8.18890i −0.0916893 0.519996i
\(249\) −4.87642 + 1.17802i −0.309030 + 0.0746539i
\(250\) 2.89229 + 2.42692i 0.182925 + 0.153492i
\(251\) −3.82321 + 6.62199i −0.241319 + 0.417976i −0.961090 0.276235i \(-0.910913\pi\)
0.719772 + 0.694211i \(0.244247\pi\)
\(252\) −13.0262 + 0.487721i −0.820575 + 0.0307235i
\(253\) 2.89489 + 5.01410i 0.182000 + 0.315234i
\(254\) −1.34761 + 7.64268i −0.0845566 + 0.479544i
\(255\) −0.211036 3.37216i −0.0132156 0.211173i
\(256\) 5.22789 + 1.90280i 0.326743 + 0.118925i
\(257\) −13.3103 + 11.1687i −0.830276 + 0.696684i −0.955354 0.295463i \(-0.904526\pi\)
0.125078 + 0.992147i \(0.460082\pi\)
\(258\) −0.508427 8.12420i −0.0316533 0.505791i
\(259\) −23.2195 10.8362i −1.44279 0.673328i
\(260\) −9.55740 16.5539i −0.592725 1.02663i
\(261\) −7.50757 9.90449i −0.464707 0.613073i
\(262\) −2.06037 3.56867i −0.127290 0.220473i
\(263\) 3.36122 19.0624i 0.207262 1.17544i −0.686579 0.727056i \(-0.740888\pi\)
0.893841 0.448385i \(-0.148001\pi\)
\(264\) −5.52257 + 1.33411i −0.339891 + 0.0821090i
\(265\) 14.3656 12.0542i 0.882472 0.740482i
\(266\) −3.32721 7.14102i −0.204005 0.437844i
\(267\) −4.30163 9.85496i −0.263256 0.603113i
\(268\) −0.564704 + 0.205536i −0.0344948 + 0.0125551i
\(269\) 7.37656 12.7766i 0.449757 0.779001i −0.548613 0.836076i \(-0.684844\pi\)
0.998370 + 0.0570748i \(0.0181774\pi\)
\(270\) −8.15654 2.84951i −0.496391 0.173415i
\(271\) −3.19595 5.53555i −0.194140 0.336261i 0.752478 0.658617i \(-0.228858\pi\)
−0.946618 + 0.322356i \(0.895525\pi\)
\(272\) −0.241460 + 1.36939i −0.0146407 + 0.0830313i
\(273\) 11.9594 + 15.0010i 0.723814 + 0.907900i
\(274\) 7.03911 + 2.56202i 0.425248 + 0.154778i
\(275\) −3.86189 1.40561i −0.232881 0.0847617i
\(276\) 3.09156 10.4914i 0.186090 0.631506i
\(277\) −2.67056 + 15.1455i −0.160458 + 0.910005i 0.793166 + 0.609006i \(0.208431\pi\)
−0.953624 + 0.300999i \(0.902680\pi\)
\(278\) −6.25492 −0.375145
\(279\) 0.566985 11.4374i 0.0339445 0.684739i
\(280\) −11.3267 11.3338i −0.676902 0.677322i
\(281\) −17.9586 15.0691i −1.07132 0.898945i −0.0761491 0.997096i \(-0.524263\pi\)
−0.995171 + 0.0981517i \(0.968707\pi\)
\(282\) 0.661669 + 10.5729i 0.0394018 + 0.629605i
\(283\) 0.668422 + 0.243286i 0.0397335 + 0.0144618i 0.361810 0.932252i \(-0.382159\pi\)
−0.322077 + 0.946714i \(0.604381\pi\)
\(284\) 8.68281 + 3.16028i 0.515230 + 0.187528i
\(285\) 1.49742 + 23.9274i 0.0886994 + 1.41734i
\(286\) 2.88817 + 2.42346i 0.170781 + 0.143302i
\(287\) −21.7935 + 5.83230i −1.28643 + 0.344270i
\(288\) 13.9693 + 9.01574i 0.823151 + 0.531257i
\(289\) −16.5077 −0.971040
\(290\) 1.19616 6.78377i 0.0702411 0.398357i
\(291\) −1.21882 + 4.13612i −0.0714482 + 0.242463i
\(292\) 21.8253 + 7.94376i 1.27723 + 0.464873i
\(293\) −13.8960 5.05772i −0.811811 0.295475i −0.0974395 0.995241i \(-0.531065\pi\)
−0.714372 + 0.699766i \(0.753287\pi\)
\(294\) 5.83246 + 4.30863i 0.340156 + 0.251285i
\(295\) 6.51120 36.9269i 0.379097 2.14997i
\(296\) 10.5486 + 18.2708i 0.613126 + 1.06197i
\(297\) −7.82362 + 0.101462i −0.453972 + 0.00588744i
\(298\) 0.868024 1.50346i 0.0502833 0.0870932i
\(299\) −15.1263 + 5.50553i −0.874778 + 0.318393i
\(300\) 3.10581 + 7.11534i 0.179314 + 0.410804i
\(301\) 11.9300 17.0266i 0.687636 0.981398i
\(302\) 6.19091 5.19479i 0.356247 0.298927i
\(303\) −23.0930 + 5.57867i −1.32666 + 0.320486i
\(304\) 1.71330 9.71658i 0.0982643 0.557284i
\(305\) −3.99137 6.91325i −0.228545 0.395852i
\(306\) 0.488630 1.16025i 0.0279331 0.0663271i
\(307\) 8.96372 + 15.5256i 0.511586 + 0.886094i 0.999910 + 0.0134308i \(0.00427529\pi\)
−0.488323 + 0.872663i \(0.662391\pi\)
\(308\) −5.92894 2.76695i −0.337832 0.157661i
\(309\) −0.654056 10.4512i −0.0372079 0.594549i
\(310\) 4.86209 4.07977i 0.276148 0.231716i
\(311\) 20.0969 + 7.31467i 1.13959 + 0.414777i 0.841765 0.539844i \(-0.181517\pi\)
0.297825 + 0.954621i \(0.403739\pi\)
\(312\) −0.986603 15.7650i −0.0558554 0.892518i
\(313\) 1.39665 7.92081i 0.0789435 0.447711i −0.919556 0.392958i \(-0.871452\pi\)
0.998500 0.0547528i \(-0.0174371\pi\)
\(314\) −5.02567 8.70471i −0.283615 0.491235i
\(315\) −11.7407 18.6843i −0.661515 1.05274i
\(316\) 6.97970 12.0892i 0.392639 0.680070i
\(317\) −17.3949 14.5961i −0.976996 0.819797i 0.00663760 0.999978i \(-0.497887\pi\)
−0.983633 + 0.180181i \(0.942332\pi\)
\(318\) 6.79209 1.64080i 0.380882 0.0920113i
\(319\) −1.08324 6.14333i −0.0606495 0.343961i
\(320\) −0.313284 1.77672i −0.0175131 0.0993218i
\(321\) −3.53260 + 4.78818i −0.197171 + 0.267250i
\(322\) −4.98503 + 3.48825i −0.277805 + 0.194393i
\(323\) −3.49333 −0.194374
\(324\) 10.3275 + 10.5741i 0.573750 + 0.587451i
\(325\) 5.71307 9.89532i 0.316904 0.548894i
\(326\) 7.19642 + 6.03851i 0.398573 + 0.334442i
\(327\) −9.45055 1.06322i −0.522617 0.0587963i
\(328\) 17.4549 + 6.35308i 0.963787 + 0.350790i
\(329\) −15.5258 + 22.1585i −0.855966 + 1.22164i
\(330\) −2.98958 3.14146i −0.164571 0.172932i
\(331\) 0.469980 + 0.394360i 0.0258324 + 0.0216760i 0.655612 0.755098i \(-0.272411\pi\)
−0.629780 + 0.776774i \(0.716855\pi\)
\(332\) 2.37837 + 4.11945i 0.130530 + 0.226084i
\(333\) 8.57322 + 27.7607i 0.469809 + 1.52128i
\(334\) −1.61410 + 2.79570i −0.0883196 + 0.152974i
\(335\) −0.779304 0.653914i −0.0425779 0.0357271i
\(336\) 2.89111 + 8.60904i 0.157723 + 0.469661i
\(337\) 4.81528 + 27.3088i 0.262305 + 1.48761i 0.776601 + 0.629993i \(0.216942\pi\)
−0.514295 + 0.857613i \(0.671946\pi\)
\(338\) −2.07383 + 1.74015i −0.112801 + 0.0946516i
\(339\) −20.1698 10.0207i −1.09547 0.544251i
\(340\) −3.01047 + 1.09572i −0.163266 + 0.0594239i
\(341\) 2.87390 4.97774i 0.155630 0.269560i
\(342\) −3.46711 + 8.23264i −0.187480 + 0.445170i
\(343\) 4.77675 + 17.8936i 0.257920 + 0.966166i
\(344\) −16.0853 + 5.85459i −0.867263 + 0.315658i
\(345\) 17.9976 4.34776i 0.968959 0.234076i
\(346\) 1.26865 + 7.19485i 0.0682029 + 0.386798i
\(347\) 11.1683 9.37128i 0.599544 0.503077i −0.291755 0.956493i \(-0.594239\pi\)
0.891299 + 0.453416i \(0.149795\pi\)
\(348\) −6.99617 + 9.48279i −0.375034 + 0.508331i
\(349\) 1.23293 6.99229i 0.0659972 0.374289i −0.933864 0.357628i \(-0.883586\pi\)
0.999861 0.0166603i \(-0.00530339\pi\)
\(350\) 1.11907 4.17127i 0.0598170 0.222964i
\(351\) 3.49933 21.4702i 0.186781 1.14599i
\(352\) 4.17254 + 7.22705i 0.222397 + 0.385203i
\(353\) −19.1989 16.1098i −1.02186 0.857438i −0.0319957 0.999488i \(-0.510186\pi\)
−0.989860 + 0.142050i \(0.954631\pi\)
\(354\) 8.29464 11.2428i 0.440855 0.597546i
\(355\) 2.71620 + 15.4044i 0.144161 + 0.817578i
\(356\) −7.81035 + 6.55366i −0.413947 + 0.347343i
\(357\) 2.82406 1.53738i 0.149465 0.0813666i
\(358\) 14.3745 5.23189i 0.759716 0.276514i
\(359\) −20.5271 −1.08338 −0.541689 0.840579i \(-0.682215\pi\)
−0.541689 + 0.840579i \(0.682215\pi\)
\(360\) −0.899575 + 18.1465i −0.0474118 + 0.956406i
\(361\) 5.78713 0.304586
\(362\) 1.87127 10.6125i 0.0983515 0.557779i
\(363\) 13.5457 + 6.72975i 0.710966 + 0.353220i
\(364\) 10.4384 14.8977i 0.547119 0.780851i
\(365\) 6.82751 + 38.7207i 0.357368 + 2.02674i
\(366\) −0.185781 2.96861i −0.00971092 0.155172i
\(367\) −22.6188 + 8.23258i −1.18069 + 0.429737i −0.856447 0.516236i \(-0.827333\pi\)
−0.324246 + 0.945973i \(0.605111\pi\)
\(368\) −7.61990 −0.397215
\(369\) 21.4934 + 13.8717i 1.11890 + 0.722133i
\(370\) −8.05175 + 13.9460i −0.418591 + 0.725020i
\(371\) 16.1719 + 7.54720i 0.839605 + 0.391831i
\(372\) −10.5545 + 2.54969i −0.547223 + 0.132195i
\(373\) −7.40933 2.69677i −0.383640 0.139634i 0.142998 0.989723i \(-0.454326\pi\)
−0.526639 + 0.850089i \(0.676548\pi\)
\(374\) 0.484062 0.406177i 0.0250303 0.0210029i
\(375\) 6.49152 8.79877i 0.335221 0.454367i
\(376\) 20.9335 7.61918i 1.07956 0.392929i
\(377\) 17.3435 0.893237
\(378\) −0.820235 8.18123i −0.0421883 0.420797i
\(379\) −30.3005 −1.55643 −0.778216 0.627997i \(-0.783875\pi\)
−0.778216 + 0.627997i \(0.783875\pi\)
\(380\) 21.3610 7.77477i 1.09580 0.398837i
\(381\) 22.3339 + 2.51264i 1.14420 + 0.128727i
\(382\) 4.85788 4.07624i 0.248551 0.208559i
\(383\) 17.4558 + 6.35340i 0.891951 + 0.324644i 0.747023 0.664799i \(-0.231483\pi\)
0.144928 + 0.989442i \(0.453705\pi\)
\(384\) 5.61654 19.0600i 0.286618 0.972654i
\(385\) −0.961911 11.0341i −0.0490235 0.562351i
\(386\) 3.11573 5.39660i 0.158586 0.274679i
\(387\) −23.3899 + 2.93908i −1.18898 + 0.149402i
\(388\) 4.08852 0.207563
\(389\) −12.1623 + 4.42672i −0.616653 + 0.224443i −0.631412 0.775448i \(-0.717524\pi\)
0.0147586 + 0.999891i \(0.495302\pi\)
\(390\) 10.0447 6.66888i 0.508633 0.337692i
\(391\) 0.468486 + 2.65691i 0.0236923 + 0.134366i
\(392\) 5.22425 14.3259i 0.263865 0.723565i
\(393\) −9.94208 + 6.60075i −0.501511 + 0.332964i
\(394\) 2.63482 14.9428i 0.132741 0.752809i
\(395\) 23.6311 1.18901
\(396\) 2.18911 + 7.08851i 0.110007 + 0.356211i
\(397\) 16.8064 0.843491 0.421745 0.906714i \(-0.361418\pi\)
0.421745 + 0.906714i \(0.361418\pi\)
\(398\) 4.29336 1.56265i 0.215206 0.0783287i
\(399\) −20.0383 + 10.9086i −1.00317 + 0.546111i
\(400\) 4.14338 3.47671i 0.207169 0.173836i
\(401\) −1.03346 5.86107i −0.0516087 0.292688i 0.948069 0.318064i \(-0.103033\pi\)
−0.999678 + 0.0253763i \(0.991922\pi\)
\(402\) −0.151639 0.347403i −0.00756308 0.0173269i
\(403\) 12.2417 + 10.2720i 0.609801 + 0.511683i
\(404\) 11.2631 + 19.5083i 0.560360 + 0.970572i
\(405\) −6.76072 + 24.0908i −0.335943 + 1.19708i
\(406\) 6.33255 1.69470i 0.314279 0.0841064i
\(407\) −2.53235 + 14.3617i −0.125524 + 0.711881i
\(408\) −2.63082 0.295976i −0.130245 0.0146530i
\(409\) −24.2211 + 20.3239i −1.19766 + 1.00495i −0.197962 + 0.980210i \(0.563432\pi\)
−0.999694 + 0.0247432i \(0.992123\pi\)
\(410\) 2.46205 + 13.9630i 0.121592 + 0.689583i
\(411\) 6.13192 20.8090i 0.302465 1.02643i
\(412\) −9.33025 + 3.39593i −0.459668 + 0.167306i
\(413\) 34.4707 9.22493i 1.69619 0.453929i
\(414\) 6.72646 + 1.53291i 0.330587 + 0.0753382i
\(415\) −4.02621 + 6.97361i −0.197639 + 0.342321i
\(416\) −21.8022 + 7.93537i −1.06894 + 0.389063i
\(417\) 1.13142 + 18.0790i 0.0554057 + 0.885332i
\(418\) −3.43470 + 2.88205i −0.167997 + 0.140966i
\(419\) −0.614976 3.48770i −0.0300436 0.170385i 0.966094 0.258190i \(-0.0831260\pi\)
−0.996138 + 0.0878045i \(0.972015\pi\)
\(420\) −13.8470 + 15.6860i −0.675663 + 0.765398i
\(421\) −8.23112 6.90673i −0.401160 0.336613i 0.419782 0.907625i \(-0.362107\pi\)
−0.820942 + 0.571012i \(0.806551\pi\)
\(422\) −0.355156 + 0.615149i −0.0172887 + 0.0299450i
\(423\) 30.4398 3.82493i 1.48003 0.185974i
\(424\) −7.34691 12.7252i −0.356798 0.617992i
\(425\) −1.46701 1.23096i −0.0711602 0.0597105i
\(426\) −1.64742 + 5.59062i −0.0798180 + 0.270867i
\(427\) 4.35927 6.22158i 0.210960 0.301083i
\(428\) 5.30171 + 1.92966i 0.256268 + 0.0932738i
\(429\) 6.48226 8.78623i 0.312967 0.424203i
\(430\) −10.0091 8.39859i −0.482679 0.405016i
\(431\) 18.9469 32.8171i 0.912642 1.58074i 0.102324 0.994751i \(-0.467372\pi\)
0.810318 0.585991i \(-0.199295\pi\)
\(432\) 5.03266 8.98390i 0.242134 0.432238i
\(433\) −36.3029 −1.74461 −0.872303 0.488966i \(-0.837374\pi\)
−0.872303 + 0.488966i \(0.837374\pi\)
\(434\) 5.47344 + 2.55437i 0.262734 + 0.122614i
\(435\) −19.8239 2.23027i −0.950485 0.106933i
\(436\) 1.56585 + 8.88038i 0.0749907 + 0.425293i
\(437\) −3.32417 18.8523i −0.159017 0.901829i
\(438\) −4.14100 + 14.0527i −0.197865 + 0.671465i
\(439\) −1.92261 1.61326i −0.0917611 0.0769967i 0.595753 0.803168i \(-0.296854\pi\)
−0.687514 + 0.726171i \(0.741298\pi\)
\(440\) −4.55971 + 7.89766i −0.217376 + 0.376506i
\(441\) 11.3985 17.6373i 0.542787 0.839871i
\(442\) 0.878420 + 1.52147i 0.0417822 + 0.0723689i
\(443\) 2.01929 11.4520i 0.0959395 0.544100i −0.898516 0.438941i \(-0.855354\pi\)
0.994455 0.105159i \(-0.0335352\pi\)
\(444\) 22.9511 15.2377i 1.08921 0.723150i
\(445\) −16.2188 5.90317i −0.768847 0.279837i
\(446\) −1.53291 + 1.28627i −0.0725855 + 0.0609065i
\(447\) −4.50256 2.23695i −0.212964 0.105804i
\(448\) 1.40671 0.984341i 0.0664610 0.0465058i
\(449\) 0.711782 + 1.23284i 0.0335911 + 0.0581814i 0.882332 0.470627i \(-0.155972\pi\)
−0.848741 + 0.528809i \(0.822639\pi\)
\(450\) −4.35698 + 2.23553i −0.205390 + 0.105384i
\(451\) 6.41992 + 11.1196i 0.302302 + 0.523603i
\(452\) −3.70823 + 21.0304i −0.174421 + 0.989189i
\(453\) −16.1347 16.9543i −0.758073 0.796584i
\(454\) −8.94360 + 7.50457i −0.419744 + 0.352207i
\(455\) 30.6760 + 2.69339i 1.43811 + 0.126268i
\(456\) 18.6671 + 2.10012i 0.874169 + 0.0983472i
\(457\) −6.67794 + 2.43057i −0.312381 + 0.113697i −0.493453 0.869772i \(-0.664266\pi\)
0.181072 + 0.983470i \(0.442043\pi\)
\(458\) −2.55162 + 4.41953i −0.119229 + 0.206511i
\(459\) −3.44193 1.20245i −0.160656 0.0561254i
\(460\) −8.77795 15.2039i −0.409274 0.708883i
\(461\) 0.871906 4.94482i 0.0406087 0.230303i −0.957748 0.287609i \(-0.907140\pi\)
0.998357 + 0.0573053i \(0.0182508\pi\)
\(462\) 1.50830 3.84147i 0.0701725 0.178721i
\(463\) 34.7002 + 12.6298i 1.61266 + 0.586958i 0.981963 0.189075i \(-0.0605488\pi\)
0.630692 + 0.776033i \(0.282771\pi\)
\(464\) 7.71481 + 2.80796i 0.358151 + 0.130356i
\(465\) −12.6715 13.3152i −0.587627 0.617479i
\(466\) −0.634101 + 3.59617i −0.0293742 + 0.166589i
\(467\) 32.1642 1.48838 0.744190 0.667968i \(-0.232836\pi\)
0.744190 + 0.667968i \(0.232836\pi\)
\(468\) −20.4654 + 2.57159i −0.946011 + 0.118872i
\(469\) 0.250859 0.935060i 0.0115836 0.0431771i
\(470\) 13.0258 + 10.9300i 0.600837 + 0.504162i
\(471\) −24.2507 + 16.1006i −1.11741 + 0.741874i
\(472\) −27.6084 10.0486i −1.27078 0.462526i
\(473\) −11.1188 4.04691i −0.511242 0.186077i
\(474\) 7.88553 + 3.91767i 0.362194 + 0.179945i
\(475\) 10.4092 + 8.73439i 0.477609 + 0.400761i
\(476\) −2.15515 2.15649i −0.0987812 0.0988425i
\(477\) −5.97108 19.3348i −0.273397 0.885281i
\(478\) 6.78797 0.310474
\(479\) 1.02448 5.81013i 0.0468098 0.265472i −0.952417 0.304800i \(-0.901411\pi\)
0.999226 + 0.0393278i \(0.0125216\pi\)
\(480\) 25.9408 6.26663i 1.18403 0.286031i
\(481\) −38.0999 13.8672i −1.73721 0.632291i
\(482\) 2.58000 + 0.939044i 0.117516 + 0.0427723i
\(483\) 10.9840 + 13.7776i 0.499790 + 0.626901i
\(484\) 2.49039 14.1237i 0.113200 0.641986i
\(485\) 3.46062 + 5.99397i 0.157139 + 0.272172i
\(486\) −6.24988 + 6.91810i −0.283500 + 0.313811i
\(487\) −1.03637 + 1.79505i −0.0469626 + 0.0813416i −0.888551 0.458778i \(-0.848287\pi\)
0.841589 + 0.540119i \(0.181621\pi\)
\(488\) −5.87763 + 2.13928i −0.266068 + 0.0968408i
\(489\) 16.1518 21.8925i 0.730409 0.990015i
\(490\) 11.4637 2.01404i 0.517879 0.0909849i
\(491\) 17.9941 15.0989i 0.812064 0.681403i −0.139035 0.990287i \(-0.544400\pi\)
0.951100 + 0.308885i \(0.0999557\pi\)
\(492\) 6.85605 23.2664i 0.309095 1.04893i
\(493\) 0.504762 2.86265i 0.0227333 0.128927i
\(494\) −6.23289 10.7957i −0.280431 0.485721i
\(495\) −8.53919 + 9.20922i −0.383808 + 0.413924i
\(496\) 3.78232 + 6.55117i 0.169831 + 0.294156i
\(497\) −12.1963 + 8.53434i −0.547081 + 0.382817i
\(498\) −2.49963 + 1.65956i −0.112011 + 0.0743665i
\(499\) 19.2627 16.1633i 0.862315 0.723568i −0.100151 0.994972i \(-0.531932\pi\)
0.962465 + 0.271404i \(0.0874880\pi\)
\(500\) −9.74243 3.54596i −0.435695 0.158580i
\(501\) 8.37256 + 4.15964i 0.374059 + 0.185839i
\(502\) −0.794122 + 4.50369i −0.0354434 + 0.201009i
\(503\) −3.60701 6.24753i −0.160829 0.278563i 0.774337 0.632773i \(-0.218083\pi\)
−0.935166 + 0.354209i \(0.884750\pi\)
\(504\) −16.0150 + 6.51744i −0.713366 + 0.290310i
\(505\) −19.0667 + 33.0245i −0.848457 + 1.46957i
\(506\) 2.65262 + 2.22582i 0.117924 + 0.0989496i
\(507\) 5.40478 + 5.67935i 0.240035 + 0.252229i
\(508\) −3.70048 20.9864i −0.164182 0.931123i
\(509\) 4.73976 + 26.8805i 0.210086 + 1.19146i 0.889233 + 0.457455i \(0.151239\pi\)
−0.679147 + 0.734002i \(0.737650\pi\)
\(510\) −0.808398 1.85202i −0.0357965 0.0820089i
\(511\) −30.6570 + 21.4521i −1.35619 + 0.948985i
\(512\) −19.6169 −0.866955
\(513\) 24.4225 + 8.53205i 1.07828 + 0.376699i
\(514\) −5.19594 + 8.99964i −0.229183 + 0.396957i
\(515\) −12.8759 10.8042i −0.567382 0.476090i
\(516\) 8.94194 + 20.4858i 0.393647 + 0.901837i
\(517\) 14.4700 + 5.26666i 0.636392 + 0.231628i
\(518\) −15.2662 1.34039i −0.670759 0.0588935i
\(519\) 20.5663 4.96829i 0.902759 0.218084i
\(520\) −19.4226 16.2975i −0.851736 0.714691i
\(521\) 5.07183 + 8.78468i 0.222201 + 0.384864i 0.955476 0.295069i \(-0.0953425\pi\)
−0.733275 + 0.679932i \(0.762009\pi\)
\(522\) −6.24536 4.03072i −0.273352 0.176420i
\(523\) −3.40614 + 5.89960i −0.148940 + 0.257972i −0.930836 0.365437i \(-0.880919\pi\)
0.781896 + 0.623409i \(0.214253\pi\)
\(524\) 8.66809 + 7.27339i 0.378667 + 0.317740i
\(525\) −12.2589 2.48002i −0.535022 0.108237i
\(526\) −2.01028 11.4009i −0.0876524 0.497101i
\(527\) 2.05172 1.72160i 0.0893745 0.0749941i
\(528\) 4.30597 2.85883i 0.187393 0.124414i
\(529\) 7.72024 2.80994i 0.335663 0.122171i
\(530\) 5.60789 9.71315i 0.243591 0.421912i
\(531\) −33.9961 21.9409i −1.47530 0.952153i
\(532\) 15.2920 + 15.3015i 0.662993 + 0.663405i
\(533\) −33.5452 + 12.2095i −1.45300 + 0.528850i
\(534\) −4.43345 4.65867i −0.191854 0.201601i
\(535\) 1.65851 + 9.40587i 0.0717036 + 0.406651i
\(536\) −0.610621 + 0.512372i −0.0263748 + 0.0221311i
\(537\) −17.7222 40.6012i −0.764769 1.75207i
\(538\) 1.53219 8.68950i 0.0660575 0.374631i
\(539\) 9.13159 5.26458i 0.393325 0.226761i
\(540\) 23.7229 0.307656i 1.02087 0.0132394i
\(541\) 15.4001 + 26.6738i 0.662103 + 1.14680i 0.980062 + 0.198691i \(0.0636690\pi\)
−0.317960 + 0.948104i \(0.602998\pi\)
\(542\) −2.92849 2.45729i −0.125789 0.105550i
\(543\) −31.0124 3.48901i −1.33087 0.149728i
\(544\) 0.675249 + 3.82953i 0.0289511 + 0.164190i
\(545\) −11.6937 + 9.81218i −0.500903 + 0.420307i
\(546\) 9.78983 + 5.98437i 0.418966 + 0.256107i
\(547\) 17.0784 6.21601i 0.730218 0.265778i 0.0499607 0.998751i \(-0.484090\pi\)
0.680257 + 0.732974i \(0.261868\pi\)
\(548\) −20.5696 −0.878688
\(549\) −8.54675 + 1.07395i −0.364766 + 0.0458350i
\(550\) −2.45795 −0.104807
\(551\) −3.58157 + 20.3121i −0.152580 + 0.865325i
\(552\) −0.906140 14.4793i −0.0385679 0.616279i
\(553\) 9.49779 + 20.3846i 0.403887 + 0.866840i
\(554\) 1.59721 + 9.05822i 0.0678589 + 0.384847i
\(555\) 41.7656 + 20.7499i 1.77285 + 0.880783i
\(556\) 16.1399 5.87444i 0.684484 0.249132i
\(557\) −0.196768 −0.00833732 −0.00416866 0.999991i \(-0.501327\pi\)
−0.00416866 + 0.999991i \(0.501327\pi\)
\(558\) −2.02093 6.54393i −0.0855528 0.277027i
\(559\) 16.4485 28.4897i 0.695698 1.20498i
\(560\) 13.2093 + 6.16461i 0.558196 + 0.260502i
\(561\) −1.26156 1.32565i −0.0532630 0.0559688i
\(562\) −13.1754 4.79545i −0.555771 0.202284i
\(563\) −24.1540 + 20.2676i −1.01797 + 0.854176i −0.989371 0.145415i \(-0.953548\pi\)
−0.0285969 + 0.999591i \(0.509104\pi\)
\(564\) −11.6371 26.6603i −0.490009 1.12260i
\(565\) −33.9704 + 12.3642i −1.42914 + 0.520166i
\(566\) 0.425426 0.0178820
\(567\) −23.4984 + 3.85063i −0.986838 + 0.161711i
\(568\) 12.2562 0.514260
\(569\) 7.94840 2.89298i 0.333214 0.121280i −0.169994 0.985445i \(-0.554375\pi\)
0.503209 + 0.864165i \(0.332153\pi\)
\(570\) 5.73604 + 13.1412i 0.240256 + 0.550422i
\(571\) −23.9750 + 20.1175i −1.00332 + 0.841889i −0.987442 0.157985i \(-0.949500\pi\)
−0.0158829 + 0.999874i \(0.505056\pi\)
\(572\) −9.72854 3.54090i −0.406771 0.148052i
\(573\) −12.6605 13.3037i −0.528902 0.555770i
\(574\) −11.0551 + 7.73579i −0.461433 + 0.322886i
\(575\) 5.24714 9.08831i 0.218821 0.379009i
\(576\) −1.89812 0.432567i −0.0790885 0.0180236i
\(577\) 29.9826 1.24819 0.624096 0.781348i \(-0.285467\pi\)
0.624096 + 0.781348i \(0.285467\pi\)
\(578\) −9.27750 + 3.37673i −0.385893 + 0.140454i
\(579\) −16.1617 8.02942i −0.671658 0.333691i
\(580\) 3.28461 + 18.6279i 0.136386 + 0.773483i
\(581\) −7.63375 0.670253i −0.316701 0.0278068i
\(582\) 0.161077 + 2.57386i 0.00667685 + 0.106690i
\(583\) 1.76373 10.0026i 0.0730463 0.414266i
\(584\) 30.8075 1.27482
\(585\) −21.0924 27.8265i −0.872064 1.15049i
\(586\) −8.84428 −0.365354
\(587\) 22.2162 8.08603i 0.916960 0.333746i 0.159932 0.987128i \(-0.448873\pi\)
0.757028 + 0.653382i \(0.226650\pi\)
\(588\) −19.0963 5.64012i −0.787520 0.232594i
\(589\) −14.5582 + 12.2157i −0.599858 + 0.503341i
\(590\) −3.89422 22.0852i −0.160323 0.909234i
\(591\) −43.6668 4.91268i −1.79621 0.202081i
\(592\) −14.7026 12.3369i −0.604273 0.507045i
\(593\) −1.74786 3.02739i −0.0717761 0.124320i 0.827904 0.560870i \(-0.189533\pi\)
−0.899680 + 0.436550i \(0.856200\pi\)
\(594\) −4.37621 + 1.65739i −0.179558 + 0.0680034i
\(595\) 1.33735 4.98486i 0.0548258 0.204359i
\(596\) −0.827800 + 4.69468i −0.0339080 + 0.192302i
\(597\) −5.29324 12.1267i −0.216638 0.496313i
\(598\) −7.37498 + 6.18834i −0.301585 + 0.253060i
\(599\) 1.09474 + 6.20856i 0.0447298 + 0.253675i 0.998971 0.0453644i \(-0.0144449\pi\)
−0.954241 + 0.299039i \(0.903334\pi\)
\(600\) 7.09914 + 7.45979i 0.289821 + 0.304545i
\(601\) −5.41779 + 1.97192i −0.220996 + 0.0804361i −0.450146 0.892955i \(-0.648628\pi\)
0.229149 + 0.973391i \(0.426406\pi\)
\(602\) 3.22193 12.0095i 0.131316 0.489471i
\(603\) −0.976691 + 0.501132i −0.0397739 + 0.0204077i
\(604\) −11.0959 + 19.2187i −0.451487 + 0.781999i
\(605\) 22.8140 8.30360i 0.927519 0.337589i
\(606\) −11.8374 + 7.85907i −0.480860 + 0.319253i
\(607\) 5.90425 4.95426i 0.239646 0.201087i −0.515052 0.857159i \(-0.672228\pi\)
0.754699 + 0.656072i \(0.227783\pi\)
\(608\) −4.79128 27.1727i −0.194312 1.10200i
\(609\) −6.04375 17.9968i −0.244905 0.729268i
\(610\) −3.65734 3.06887i −0.148081 0.124255i
\(611\) −21.4062 + 37.0766i −0.866001 + 1.49996i
\(612\) −0.171163 + 3.45276i −0.00691887 + 0.139570i
\(613\) −3.22472 5.58538i −0.130245 0.225591i 0.793526 0.608537i \(-0.208243\pi\)
−0.923771 + 0.382945i \(0.874910\pi\)
\(614\) 8.21356 + 6.89199i 0.331472 + 0.278138i
\(615\) 39.9128 9.64191i 1.60944 0.388799i
\(616\) −8.64527 0.759065i −0.348328 0.0305836i
\(617\) 17.3987 + 6.33260i 0.700445 + 0.254941i 0.667601 0.744519i \(-0.267321\pi\)
0.0328440 + 0.999460i \(0.489544\pi\)
\(618\) −2.50544 5.73991i −0.100784 0.230893i
\(619\) 28.3076 + 23.7529i 1.13778 + 0.954708i 0.999364 0.0356665i \(-0.0113554\pi\)
0.138413 + 0.990375i \(0.455800\pi\)
\(620\) −8.71429 + 15.0936i −0.349974 + 0.606173i
\(621\) 3.21394 19.7192i 0.128971 0.791304i
\(622\) 12.7909 0.512870
\(623\) −1.42648 16.3632i −0.0571508 0.655579i
\(624\) 5.74865 + 13.1700i 0.230130 + 0.527224i
\(625\) −5.41738 30.7235i −0.216695 1.22894i
\(626\) −0.835310 4.73728i −0.0333857 0.189340i
\(627\) 8.95147 + 9.40621i 0.357487 + 0.375648i
\(628\) 21.1432 + 17.7413i 0.843706 + 0.707953i
\(629\) −3.39771 + 5.88501i −0.135476 + 0.234651i
\(630\) −10.4204 8.09914i −0.415158 0.322677i
\(631\) 2.78460 + 4.82307i 0.110853 + 0.192003i 0.916115 0.400917i \(-0.131308\pi\)
−0.805261 + 0.592920i \(0.797975\pi\)
\(632\) 3.21528 18.2348i 0.127897 0.725341i
\(633\) 1.84225 + 0.915261i 0.0732227 + 0.0363783i
\(634\) −12.7618 4.64493i −0.506838 0.184474i
\(635\) 27.6350 23.1885i 1.09666 0.920207i
\(636\) −15.9850 + 10.6128i −0.633847 + 0.420824i
\(637\) 10.0059 + 27.5441i 0.396448 + 1.09134i
\(638\) −1.86544 3.23104i −0.0738536 0.127918i
\(639\) 16.4569 + 3.75040i 0.651026 + 0.148364i
\(640\) −15.9472 27.6214i −0.630369 1.09183i
\(641\) 1.30883 7.42272i 0.0516955 0.293180i −0.947989 0.318304i \(-0.896887\pi\)
0.999684 + 0.0251237i \(0.00799796\pi\)
\(642\) −1.00591 + 3.41362i −0.0397003 + 0.134725i
\(643\) 3.79160 3.18153i 0.149526 0.125467i −0.564956 0.825121i \(-0.691107\pi\)
0.714482 + 0.699654i \(0.246662\pi\)
\(644\) 9.58706 13.6827i 0.377783 0.539174i
\(645\) −22.4645 + 30.4490i −0.884539 + 1.19893i
\(646\) −1.96329 + 0.714579i −0.0772446 + 0.0281147i
\(647\) −9.74984 + 16.8872i −0.383306 + 0.663905i −0.991533 0.129858i \(-0.958548\pi\)
0.608227 + 0.793763i \(0.291881\pi\)
\(648\) 17.6696 + 8.49469i 0.694128 + 0.333703i
\(649\) −10.1544 17.5879i −0.398594 0.690385i
\(650\) 1.18667 6.72992i 0.0465449 0.263969i
\(651\) 6.39301 16.2823i 0.250562 0.638153i
\(652\) −24.2405 8.82282i −0.949331 0.345528i
\(653\) 10.8175 + 3.93724i 0.423321 + 0.154076i 0.544891 0.838507i \(-0.316571\pi\)
−0.121571 + 0.992583i \(0.538793\pi\)
\(654\) −5.52880 + 1.33562i −0.216193 + 0.0522268i
\(655\) −3.32627 + 18.8642i −0.129968 + 0.737086i
\(656\) −16.8984 −0.659773
\(657\) 41.3665 + 9.42709i 1.61386 + 0.367786i
\(658\) −4.19304 + 15.6292i −0.163462 + 0.609291i
\(659\) −2.26363 1.89941i −0.0881783 0.0739904i 0.597633 0.801770i \(-0.296108\pi\)
−0.685811 + 0.727779i \(0.740552\pi\)
\(660\) 10.6645 + 5.29834i 0.415117 + 0.206237i
\(661\) 20.2036 + 7.35350i 0.785828 + 0.286018i 0.703600 0.710596i \(-0.251574\pi\)
0.0822271 + 0.996614i \(0.473797\pi\)
\(662\) 0.344802 + 0.125498i 0.0134011 + 0.00487761i
\(663\) 4.23871 2.81416i 0.164618 0.109293i
\(664\) 4.83332 + 4.05564i 0.187569 + 0.157389i
\(665\) −9.48923 + 35.3704i −0.367977 + 1.37161i
\(666\) 10.4969 + 13.8482i 0.406745 + 0.536605i
\(667\) 15.9291 0.616776
\(668\) 1.53930 8.72982i 0.0595574 0.337767i
\(669\) 3.99506 + 4.19801i 0.154458 + 0.162304i
\(670\) −0.571739 0.208096i −0.0220882 0.00803945i
\(671\) −4.06284 1.47875i −0.156844 0.0570866i
\(672\) 15.8318 + 19.8582i 0.610723 + 0.766048i
\(673\) 3.60198 20.4279i 0.138846 0.787436i −0.833257 0.552885i \(-0.813527\pi\)
0.972104 0.234551i \(-0.0753621\pi\)
\(674\) 8.29241 + 14.3629i 0.319412 + 0.553237i
\(675\) 7.24961 + 12.1889i 0.279038 + 0.469150i
\(676\) 3.71691 6.43788i 0.142958 0.247611i
\(677\) 24.1324 8.78348i 0.927484 0.337576i 0.166272 0.986080i \(-0.446827\pi\)
0.761212 + 0.648503i \(0.224605\pi\)
\(678\) −13.3855 1.50591i −0.514065 0.0578342i
\(679\) −3.77961 + 5.39427i −0.145048 + 0.207013i
\(680\) −3.25526 + 2.73148i −0.124833 + 0.104748i
\(681\) 23.3087 + 24.4928i 0.893192 + 0.938566i
\(682\) 0.596940 3.38542i 0.0228580 0.129634i
\(683\) 5.70592 + 9.88295i 0.218331 + 0.378160i 0.954298 0.298857i \(-0.0966054\pi\)
−0.735967 + 0.677018i \(0.763272\pi\)
\(684\) 1.21450 24.4993i 0.0464376 0.936755i
\(685\) −17.4106 30.1560i −0.665223 1.15220i
\(686\) 6.34483 + 9.07933i 0.242247 + 0.346650i
\(687\) 13.2356 + 6.57568i 0.504970 + 0.250878i
\(688\) 11.9292 10.0098i 0.454798 0.381620i
\(689\) 26.5358 + 9.65826i 1.01094 + 0.367950i
\(690\) 9.22550 6.12500i 0.351209 0.233175i
\(691\) 2.45169 13.9042i 0.0932666 0.528941i −0.901998 0.431740i \(-0.857900\pi\)
0.995265 0.0972013i \(-0.0309890\pi\)
\(692\) −10.0308 17.3738i −0.381312 0.660452i
\(693\) −11.3761 3.66468i −0.432141 0.139210i
\(694\) 4.35974 7.55130i 0.165494 0.286643i
\(695\) 22.2734 + 18.6896i 0.844878 + 0.708937i
\(696\) −4.41824 + 14.9935i −0.167473 + 0.568329i
\(697\) 1.03895 + 5.89216i 0.0393529 + 0.223182i
\(698\) −0.737390 4.18195i −0.0279106 0.158289i
\(699\) 10.5089 + 1.18229i 0.397484 + 0.0447184i
\(700\) 1.02993 + 11.8143i 0.0389277 + 0.446540i
\(701\) −19.7649 −0.746510 −0.373255 0.927729i \(-0.621758\pi\)
−0.373255 + 0.927729i \(0.621758\pi\)
\(702\) −2.42518 12.7823i −0.0915325 0.482437i
\(703\) 24.1087 41.7575i 0.909277 1.57491i
\(704\) −0.748538 0.628098i −0.0282116 0.0236723i
\(705\) 29.2354 39.6264i 1.10107 1.49242i
\(706\) −14.0854 5.12665i −0.530109 0.192944i
\(707\) −36.1507 3.17408i −1.35959 0.119373i
\(708\) −10.8442 + 36.8004i −0.407550 + 1.38304i
\(709\) −3.13129 2.62747i −0.117598 0.0986765i 0.582092 0.813123i \(-0.302234\pi\)
−0.699690 + 0.714446i \(0.746679\pi\)
\(710\) 4.67758 + 8.10181i 0.175547 + 0.304055i
\(711\) 9.89712 23.5007i 0.371171 0.881345i
\(712\) −6.76190 + 11.7120i −0.253413 + 0.438924i
\(713\) 11.2433 + 9.43424i 0.421065 + 0.353315i
\(714\) 1.27267 1.44170i 0.0476286 0.0539542i
\(715\) −3.04334 17.2596i −0.113814 0.645473i
\(716\) −32.1776 + 27.0002i −1.20253 + 1.00905i
\(717\) −1.22784 19.6197i −0.0458544 0.732711i
\(718\) −11.5365 + 4.19893i −0.430537 + 0.156703i
\(719\) −0.849934 + 1.47213i −0.0316972 + 0.0549011i −0.881439 0.472298i \(-0.843425\pi\)
0.849742 + 0.527199i \(0.176758\pi\)
\(720\) −4.87722 15.7928i −0.181763 0.588563i
\(721\) 4.14479 15.4494i 0.154360 0.575365i
\(722\) 3.25243 1.18379i 0.121043 0.0440561i
\(723\) 2.24750 7.62700i 0.0835853 0.283651i
\(724\) 5.13841 + 29.1414i 0.190967 + 1.08303i
\(725\) −8.66156 + 7.26792i −0.321682 + 0.269924i
\(726\) 8.98945 + 1.01135i 0.333630 + 0.0375346i
\(727\) −3.91606 + 22.2091i −0.145239 + 0.823689i 0.821937 + 0.569579i \(0.192894\pi\)
−0.967175 + 0.254110i \(0.918217\pi\)
\(728\) 6.25216 23.3045i 0.231720 0.863721i
\(729\) 21.1263 + 16.8130i 0.782456 + 0.622706i
\(730\) 11.7577 + 20.3649i 0.435171 + 0.753738i
\(731\) −4.22366 3.54407i −0.156218 0.131082i
\(732\) 3.26741 + 7.48557i 0.120767 + 0.276675i
\(733\) 0.0113473 + 0.0643538i 0.000419123 + 0.00237696i 0.985017 0.172460i \(-0.0551714\pi\)
−0.984597 + 0.174837i \(0.944060\pi\)
\(734\) −11.0280 + 9.25361i −0.407052 + 0.341557i
\(735\) −7.89491 32.7701i −0.291208 1.20874i
\(736\) −20.0242 + 7.28820i −0.738100 + 0.268646i
\(737\) −0.550992 −0.0202960
\(738\) 14.9171 + 3.39948i 0.549105 + 0.125137i
\(739\) −39.6902 −1.46003 −0.730013 0.683433i \(-0.760486\pi\)
−0.730013 + 0.683433i \(0.760486\pi\)
\(740\) 7.67863 43.5477i 0.282272 1.60084i
\(741\) −30.0760 + 19.9681i −1.10487 + 0.733546i
\(742\) 10.6326 + 0.933558i 0.390336 + 0.0342720i
\(743\) −8.02148 45.4921i −0.294280 1.66894i −0.670116 0.742256i \(-0.733756\pi\)
0.375837 0.926686i \(-0.377355\pi\)
\(744\) −11.9987 + 7.96619i −0.439894 + 0.292055i
\(745\) −7.58330 + 2.76010i −0.277831 + 0.101122i
\(746\) −4.71577 −0.172656
\(747\) 5.24887 + 6.92466i 0.192046 + 0.253360i
\(748\) −0.867582 + 1.50270i −0.0317220 + 0.0549440i
\(749\) −7.44707 + 5.21105i −0.272110 + 0.190408i
\(750\) 1.84847 6.27289i 0.0674966 0.229053i
\(751\) 41.8151 + 15.2195i 1.52586 + 0.555366i 0.962602 0.270919i \(-0.0873274\pi\)
0.563253 + 0.826285i \(0.309550\pi\)
\(752\) −15.5248 + 13.0268i −0.566130 + 0.475039i
\(753\) 13.1609 + 1.48065i 0.479611 + 0.0539581i
\(754\) 9.74726 3.54771i 0.354974 0.129200i
\(755\) −37.5674 −1.36722
\(756\) 9.80007 + 20.3401i 0.356425 + 0.739763i
\(757\) −43.7571 −1.59038 −0.795190 0.606360i \(-0.792629\pi\)
−0.795190 + 0.606360i \(0.792629\pi\)
\(758\) −17.0292 + 6.19813i −0.618529 + 0.225126i
\(759\) 5.95360 8.06967i 0.216102 0.292910i
\(760\) 23.0979 19.3814i 0.837849 0.703038i
\(761\) 46.7769 + 17.0254i 1.69566 + 0.617170i 0.995319 0.0966393i \(-0.0308093\pi\)
0.700340 + 0.713809i \(0.253032\pi\)
\(762\) 13.0659 3.15638i 0.473327 0.114344i
\(763\) −13.1641 6.14347i −0.476571 0.222409i
\(764\) −8.70675 + 15.0805i −0.314999 + 0.545594i
\(765\) −5.20679 + 2.67157i −0.188252 + 0.0965906i
\(766\) 11.1100 0.401420
\(767\) 53.0584 19.3117i 1.91583 0.697304i
\(768\) −0.601867 9.61729i −0.0217180 0.347034i
\(769\) −5.71117 32.3897i −0.205950 1.16800i −0.895938 0.444180i \(-0.853495\pi\)
0.689987 0.723821i \(-0.257616\pi\)
\(770\) −2.79769 6.00453i −0.100822 0.216388i
\(771\) 26.9521 + 13.3903i 0.970656 + 0.482239i
\(772\) −2.97134 + 16.8513i −0.106941 + 0.606492i
\(773\) 8.34316 0.300083 0.150041 0.988680i \(-0.452059\pi\)
0.150041 + 0.988680i \(0.452059\pi\)
\(774\) −12.5442 + 6.43633i −0.450892 + 0.231349i
\(775\) −10.4182 −0.374232
\(776\) 5.09606 1.85481i 0.182938 0.0665840i
\(777\) −1.11280 + 44.3674i −0.0399216 + 1.59167i
\(778\) −5.92984 + 4.97573i −0.212595 + 0.178389i
\(779\) −7.37192 41.8082i −0.264126 1.49794i
\(780\) −19.6556 + 26.6418i −0.703785 + 0.953928i
\(781\) 6.48990 + 5.44567i 0.232227 + 0.194862i
\(782\) 0.806781 + 1.39739i 0.0288504 + 0.0499704i
\(783\) −10.5206 + 18.7805i −0.375974 + 0.671159i
\(784\) −0.00860531 + 13.8723i −0.000307332 + 0.495438i
\(785\) −8.11344 + 46.0136i −0.289581 + 1.64230i
\(786\) −4.23734 + 5.74340i −0.151141 + 0.204860i
\(787\) 24.8903 20.8854i 0.887243 0.744485i −0.0804126 0.996762i \(-0.525624\pi\)
0.967655 + 0.252277i \(0.0811793\pi\)
\(788\) 7.23511 + 41.0323i 0.257740 + 1.46172i
\(789\) −32.5890 + 7.87268i −1.16020 + 0.280275i
\(790\) 13.2810 4.83387i 0.472515 0.171982i
\(791\) −24.3189 24.3340i −0.864680 0.865216i
\(792\) 5.94438 + 7.84222i 0.211224 + 0.278661i
\(793\) 6.01033 10.4102i 0.213433 0.369677i
\(794\) 9.44541 3.43785i 0.335205 0.122005i
\(795\) −29.0889 14.4519i −1.03168 0.512556i
\(796\) −9.61077 + 8.06439i −0.340645 + 0.285835i
\(797\) −5.46260 30.9799i −0.193495 1.09737i −0.914545 0.404483i \(-0.867451\pi\)
0.721050 0.692883i \(-0.243660\pi\)
\(798\) −9.03034 + 10.2297i −0.319671 + 0.362127i
\(799\) 5.49669 + 4.61227i 0.194459 + 0.163171i
\(800\) 7.56293 13.0994i 0.267390 0.463133i
\(801\) −12.6633 + 13.6570i −0.447437 + 0.482545i
\(802\) −1.77973 3.08259i −0.0628445 0.108850i
\(803\) 16.3132 + 13.6884i 0.575679 + 0.483052i
\(804\) 0.717553 + 0.754006i 0.0253062 + 0.0265917i
\(805\) 28.1742 + 2.47373i 0.993011 + 0.0871876i
\(806\) 8.98114 + 3.26887i 0.316347 + 0.115141i
\(807\) −25.3930 2.85680i −0.893874 0.100564i
\(808\) 22.8889 + 19.2060i 0.805228 + 0.675666i
\(809\) −15.5231 + 26.8868i −0.545764 + 0.945290i 0.452795 + 0.891615i \(0.350427\pi\)
−0.998558 + 0.0536757i \(0.982906\pi\)
\(810\) 1.12830 + 14.9222i 0.0396444 + 0.524314i
\(811\) 37.0999 1.30276 0.651378 0.758754i \(-0.274191\pi\)
0.651378 + 0.758754i \(0.274191\pi\)
\(812\) −14.7486 + 10.3203i −0.517574 + 0.362170i
\(813\) −6.57276 + 8.90889i −0.230517 + 0.312448i
\(814\) 1.51455 + 8.58942i 0.0530848 + 0.301059i
\(815\) −7.58305 43.0056i −0.265622 1.50642i
\(816\) 2.34110 0.565549i 0.0819547 0.0197982i
\(817\) 29.9693 + 25.1472i 1.04849 + 0.879790i
\(818\) −9.45517 + 16.3768i −0.330592 + 0.572602i
\(819\) 15.5262 29.3787i 0.542528 1.02657i
\(820\) −19.4666 33.7171i −0.679803 1.17745i
\(821\) 5.47757 31.0648i 0.191168 1.08417i −0.726602 0.687059i \(-0.758902\pi\)
0.917770 0.397112i \(-0.129987\pi\)
\(822\) −0.810385 12.9492i −0.0282654 0.451656i
\(823\) 7.46047 + 2.71539i 0.260056 + 0.0946525i 0.468758 0.883327i \(-0.344702\pi\)
−0.208702 + 0.977979i \(0.566924\pi\)
\(824\) −10.0889 + 8.46559i −0.351463 + 0.294913i
\(825\) 0.444605 + 7.10438i 0.0154792 + 0.247343i
\(826\) 17.4859 12.2357i 0.608412 0.425734i
\(827\) 8.86098 + 15.3477i 0.308126 + 0.533691i 0.977953 0.208827i \(-0.0669647\pi\)
−0.669826 + 0.742518i \(0.733631\pi\)
\(828\) −18.7963 + 2.36186i −0.653216 + 0.0820804i
\(829\) −3.28070 5.68234i −0.113943 0.197356i 0.803414 0.595421i \(-0.203015\pi\)
−0.917357 + 0.398066i \(0.869682\pi\)
\(830\) −0.836289 + 4.74283i −0.0290280 + 0.164626i
\(831\) 25.8927 6.25501i 0.898206 0.216984i
\(832\) 2.08113 1.74627i 0.0721502 0.0605412i
\(833\) 4.83752 0.849892i 0.167610 0.0294470i
\(834\) 4.33402 + 9.92916i 0.150075 + 0.343819i
\(835\) 14.1012 5.13243i 0.487993 0.177615i
\(836\) 6.15599 10.6625i 0.212909 0.368770i
\(837\) −18.5488 + 7.02492i −0.641140 + 0.242817i
\(838\) −1.05905 1.83433i −0.0365844 0.0633660i
\(839\) −5.85347 + 33.1967i −0.202084 + 1.14608i 0.699878 + 0.714262i \(0.253238\pi\)
−0.901963 + 0.431814i \(0.857874\pi\)
\(840\) −10.1431 + 25.8334i −0.349971 + 0.891336i
\(841\) 11.1236 + 4.04866i 0.383573 + 0.139609i
\(842\) −6.03879 2.19794i −0.208110 0.0757460i
\(843\) −11.4774 + 38.9491i −0.395302 + 1.34148i
\(844\) 0.338698 1.92085i 0.0116585 0.0661185i
\(845\) 12.5843 0.432914
\(846\) 16.3251 8.37627i 0.561268 0.287982i
\(847\) 16.3322 + 16.3423i 0.561180 + 0.561528i
\(848\) 10.2401 + 8.59244i 0.351645 + 0.295066i
\(849\) −0.0769528 1.22964i −0.00264101 0.0422010i
\(850\) −1.07627 0.391732i −0.0369159 0.0134363i
\(851\) −34.9927 12.7363i −1.19953 0.436594i
\(852\) −0.999619 15.9730i −0.0342464 0.547226i
\(853\) 1.50282 + 1.26101i 0.0514555 + 0.0431763i 0.668153 0.744024i \(-0.267085\pi\)
−0.616697 + 0.787200i \(0.711530\pi\)
\(854\) 1.17730 4.38831i 0.0402865 0.150165i
\(855\) 36.9452 18.9563i 1.26350 0.648291i
\(856\) 7.48363 0.255785
\(857\) 3.88840 22.0522i 0.132825 0.753290i −0.843524 0.537091i \(-0.819523\pi\)
0.976349 0.216198i \(-0.0693658\pi\)
\(858\) 1.84584 6.26394i 0.0630158 0.213847i
\(859\) 4.01032 + 1.45964i 0.136830 + 0.0498022i 0.409528 0.912298i \(-0.365694\pi\)
−0.272697 + 0.962100i \(0.587916\pi\)
\(860\) 33.7146 + 12.2711i 1.14966 + 0.418441i
\(861\) 24.3589 + 30.5541i 0.830151 + 1.04128i
\(862\) 3.93549 22.3193i 0.134043 0.760197i
\(863\) −23.7591 41.1519i −0.808768 1.40083i −0.913718 0.406349i \(-0.866802\pi\)
0.104950 0.994477i \(-0.466532\pi\)
\(864\) 4.63240 28.4221i 0.157597 0.966941i
\(865\) 16.9805 29.4111i 0.577355 1.00001i
\(866\) −20.4026 + 7.42595i −0.693310 + 0.252344i
\(867\) 11.4381 + 26.2046i 0.388460 + 0.889953i
\(868\) −16.5224 1.45069i −0.560807 0.0492395i
\(869\) 9.80461 8.22705i 0.332599 0.279083i
\(870\) −11.5975 + 2.80166i −0.393192 + 0.0949851i
\(871\) 0.266011 1.50863i 0.00901345 0.0511178i
\(872\) 5.98043 + 10.3584i 0.202523 + 0.350780i
\(873\) 7.41026 0.931141i 0.250799 0.0315144i
\(874\) −5.72457 9.91524i −0.193636 0.335388i
\(875\) 13.6848 9.57584i 0.462629 0.323723i
\(876\) −2.51266 40.1501i −0.0848951 1.35655i
\(877\) 15.7081 13.1806i 0.530424 0.445079i −0.337824 0.941209i \(-0.609691\pi\)
0.868248 + 0.496131i \(0.165246\pi\)
\(878\) −1.41053 0.513391i −0.0476031 0.0173261i
\(879\) 1.59979 + 25.5632i 0.0539596 + 0.862225i
\(880\) 1.44063 8.17020i 0.0485635 0.275418i
\(881\) 3.06867 + 5.31509i 0.103386 + 0.179070i 0.913078 0.407786i \(-0.133699\pi\)
−0.809692 + 0.586856i \(0.800366\pi\)
\(882\) 2.79829 12.2440i 0.0942235 0.412276i
\(883\) 11.7555 20.3612i 0.395605 0.685209i −0.597573 0.801815i \(-0.703868\pi\)
0.993178 + 0.116606i \(0.0372015\pi\)
\(884\) −3.69555 3.10094i −0.124295 0.104296i
\(885\) −63.1299 + 15.2506i −2.12209 + 0.512643i
\(886\) −1.20770 6.84920i −0.0405734 0.230103i
\(887\) −1.23395 6.99805i −0.0414318 0.234972i 0.957059 0.289894i \(-0.0936200\pi\)
−0.998491 + 0.0549222i \(0.982509\pi\)
\(888\) 21.6942 29.4048i 0.728009 0.986762i
\(889\) 31.1098 + 14.5185i 1.04339 + 0.486934i
\(890\) −10.3227 −0.346018
\(891\) 5.58204 + 12.3490i 0.187005 + 0.413708i
\(892\) 2.74743 4.75869i 0.0919907 0.159333i
\(893\) −39.0022 32.7267i −1.30516 1.09516i
\(894\) −2.98807 0.336169i −0.0999361 0.0112432i
\(895\) −66.8196 24.3203i −2.23353 0.812939i
\(896\) 17.4172 24.8579i 0.581867 0.830443i
\(897\) 19.2206 + 20.1970i 0.641756 + 0.674358i
\(898\) 0.652214 + 0.547272i 0.0217647 + 0.0182627i
\(899\) −7.90678 13.6949i −0.263706 0.456752i
\(900\) 9.14300 9.86041i 0.304767 0.328680i
\(901\) 2.36644 4.09880i 0.0788376 0.136551i
\(902\) 5.88265 + 4.93613i 0.195871 + 0.164355i
\(903\) −35.2947 7.14022i −1.17453 0.237612i
\(904\) 4.91869 + 27.8953i 0.163593 + 0.927784i
\(905\) −38.3734 + 32.1991i −1.27557 + 1.07033i
\(906\) −12.5360 6.22809i −0.416480 0.206915i
\(907\) −7.88893 + 2.87134i −0.261948 + 0.0953412i −0.469656 0.882850i \(-0.655622\pi\)
0.207708 + 0.978191i \(0.433400\pi\)
\(908\) 16.0296 27.7640i 0.531960 0.921382i
\(909\) 24.8568 + 32.7927i 0.824447 + 1.08767i
\(910\) 17.7912 4.76123i 0.589773 0.157833i
\(911\) −32.9023 + 11.9755i −1.09010 + 0.396765i −0.823659 0.567085i \(-0.808071\pi\)
−0.266444 + 0.963850i \(0.585849\pi\)
\(912\) −16.6114 + 4.01289i −0.550059 + 0.132880i
\(913\) 0.757337 + 4.29507i 0.0250642 + 0.142146i
\(914\) −3.25589 + 2.73202i −0.107695 + 0.0903672i
\(915\) −8.20860 + 11.1261i −0.271368 + 0.367819i
\(916\) 2.43338 13.8004i 0.0804010 0.455977i
\(917\) −17.6094 + 4.71258i −0.581515 + 0.155623i
\(918\) −2.18037 + 0.0282766i −0.0719630 + 0.000933267i
\(919\) −5.42904 9.40337i −0.179087 0.310189i 0.762481 0.647011i \(-0.223981\pi\)
−0.941568 + 0.336822i \(0.890648\pi\)
\(920\) −17.8385 14.9683i −0.588120 0.493491i
\(921\) 18.4347 24.9868i 0.607443 0.823344i
\(922\) −0.521470 2.95740i −0.0171737 0.0973968i
\(923\) −18.0436 + 15.1404i −0.593912 + 0.498351i
\(924\) −0.284147 + 11.3289i −0.00934774 + 0.372694i
\(925\) 24.8387 9.04054i 0.816691 0.297251i
\(926\) 22.0854 0.725772
\(927\) −16.1372 + 8.27989i −0.530016 + 0.271947i
\(928\) 22.9593 0.753676
\(929\) −4.73292 + 26.8417i −0.155282 + 0.880648i 0.803246 + 0.595648i \(0.203105\pi\)
−0.958528 + 0.285000i \(0.908007\pi\)
\(930\) −9.84524 4.89129i −0.322838 0.160392i
\(931\) −34.3250 + 6.03046i −1.12496 + 0.197640i
\(932\) −1.74121 9.87490i −0.0570353 0.323463i
\(933\) −2.31368 36.9705i −0.0757464 1.21036i
\(934\) 18.0766 6.57935i 0.591485 0.215283i
\(935\) −2.93737 −0.0960622
\(936\) −24.3420 + 12.4897i −0.795644 + 0.408239i
\(937\) 14.7852 25.6087i 0.483011 0.836600i −0.516799 0.856107i \(-0.672876\pi\)
0.999810 + 0.0195071i \(0.00620971\pi\)
\(938\) −0.0502857 0.576829i −0.00164189 0.0188341i
\(939\) −13.5414 + 3.27125i −0.441906 + 0.106753i
\(940\) −43.8763 15.9697i −1.43109 0.520874i
\(941\) −29.3340 + 24.6141i −0.956260 + 0.802398i −0.980341 0.197312i \(-0.936779\pi\)
0.0240805 + 0.999710i \(0.492334\pi\)
\(942\) −10.3357 + 14.0093i −0.336756 + 0.456448i
\(943\) −30.8094 + 11.2137i −1.00329 + 0.365169i
\(944\) 26.7282 0.869929
\(945\) −21.5246 + 31.5837i −0.700194 + 1.02742i
\(946\) −7.07670 −0.230083
\(947\) −2.86859 + 1.04408i −0.0932167 + 0.0339281i −0.388208 0.921572i \(-0.626906\pi\)
0.294991 + 0.955500i \(0.404683\pi\)
\(948\) −24.0268 2.70311i −0.780354 0.0877928i
\(949\) −45.3548 + 38.0572i −1.47228 + 1.23539i
\(950\) 7.63678 + 2.77956i 0.247770 + 0.0901809i
\(951\) −11.1171 + 37.7266i −0.360498 + 1.22337i
\(952\) −3.66457 1.71020i −0.118769 0.0554279i
\(953\) −0.799055 + 1.38400i −0.0258839 + 0.0448323i −0.878677 0.477416i \(-0.841573\pi\)
0.852793 + 0.522249i \(0.174907\pi\)
\(954\) −7.31086 9.64497i −0.236698 0.312268i
\(955\) −29.4784 −0.953898
\(956\) −17.5153 + 6.37506i −0.566487 + 0.206184i
\(957\) −9.00146 + 5.97625i −0.290976 + 0.193185i
\(958\) −0.612723 3.47493i −0.0197962 0.112270i
\(959\) 19.0154 27.1389i 0.614039 0.876359i
\(960\) −2.60332 + 1.72840i −0.0840219 + 0.0557839i
\(961\) −2.85293 + 16.1798i −0.0920300 + 0.521928i
\(962\) −24.2492 −0.781825
\(963\) 10.0486 + 2.28999i 0.323811 + 0.0737938i
\(964\) −7.53924 −0.242823
\(965\) −27.2199 + 9.90722i −0.876238 + 0.318925i
\(966\) 8.99142 + 5.49631i 0.289294 + 0.176841i
\(967\) 24.3249 20.4110i 0.782235 0.656373i −0.161575 0.986860i \(-0.551657\pi\)
0.943811 + 0.330487i \(0.107213\pi\)
\(968\) −3.30331 18.7340i −0.106173 0.602134i
\(969\) 2.42052 + 5.54536i 0.0777583 + 0.178143i
\(970\) 3.17101 + 2.66079i 0.101815 + 0.0854329i
\(971\) −6.63280 11.4883i −0.212857 0.368679i 0.739751 0.672881i \(-0.234943\pi\)
−0.952607 + 0.304202i \(0.901610\pi\)
\(972\) 9.62961 23.7208i 0.308870 0.760846i
\(973\) −7.16985 + 26.7251i −0.229855 + 0.856766i
\(974\) −0.215266 + 1.22084i −0.00689758 + 0.0391181i
\(975\) −19.6666 2.21256i −0.629834 0.0708587i
\(976\) 4.35898 3.65761i 0.139527 0.117077i
\(977\) −4.14512 23.5081i −0.132614 0.752092i −0.976492 0.215556i \(-0.930844\pi\)
0.843877 0.536536i \(-0.180267\pi\)
\(978\) 4.59925 15.6078i 0.147068 0.499082i
\(979\) −8.78439 + 3.19726i −0.280750 + 0.102185i
\(980\) −27.6890 + 15.9633i −0.884492 + 0.509930i
\(981\) 4.86050 + 15.7387i 0.155184 + 0.502497i
\(982\) 7.02436 12.1665i 0.224156 0.388250i
\(983\) 49.9219 18.1701i 1.59226 0.579536i 0.614438 0.788965i \(-0.289383\pi\)
0.977824 + 0.209430i \(0.0671607\pi\)
\(984\) −2.00952 32.1103i −0.0640612 1.02364i
\(985\) −54.0314 + 45.3377i −1.72158 + 1.44458i
\(986\) −0.301888 1.71209i −0.00961407 0.0545241i
\(987\) 45.9326 + 9.29232i 1.46205 + 0.295778i
\(988\) 26.2221 + 22.0029i 0.834235 + 0.700006i
\(989\) 15.1070 26.1662i 0.480376 0.832036i
\(990\) −2.91532 + 6.92243i −0.0926550 + 0.220009i
\(991\) −19.6561 34.0453i −0.624396 1.08148i −0.988657 0.150188i \(-0.952012\pi\)
0.364262 0.931297i \(-0.381321\pi\)
\(992\) 16.2055 + 13.5980i 0.514524 + 0.431737i
\(993\) 0.300365 1.01930i 0.00953180 0.0323467i
\(994\) −5.10874 + 7.29122i −0.162039 + 0.231264i
\(995\) −19.9576 7.26396i −0.632698 0.230283i
\(996\) 4.89132 6.62983i 0.154987 0.210074i
\(997\) 19.2142 + 16.1227i 0.608521 + 0.510610i 0.894172 0.447724i \(-0.147765\pi\)
−0.285651 + 0.958334i \(0.592210\pi\)
\(998\) 7.51954 13.0242i 0.238027 0.412275i
\(999\) 38.1275 32.8446i 1.20630 1.03916i
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 189.2.w.a.25.14 yes 132
3.2 odd 2 567.2.w.a.235.9 132
7.2 even 3 189.2.u.a.79.9 yes 132
21.2 odd 6 567.2.u.a.478.14 132
27.13 even 9 189.2.u.a.67.9 132
27.14 odd 18 567.2.u.a.172.14 132
189.121 even 9 inner 189.2.w.a.121.14 yes 132
189.149 odd 18 567.2.w.a.415.9 132
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.u.a.67.9 132 27.13 even 9
189.2.u.a.79.9 yes 132 7.2 even 3
189.2.w.a.25.14 yes 132 1.1 even 1 trivial
189.2.w.a.121.14 yes 132 189.121 even 9 inner
567.2.u.a.172.14 132 27.14 odd 18
567.2.u.a.478.14 132 21.2 odd 6
567.2.w.a.235.9 132 3.2 odd 2
567.2.w.a.415.9 132 189.149 odd 18