Properties

Label 165.2.w.a.7.5
Level $165$
Weight $2$
Character 165.7
Analytic conductor $1.318$
Analytic rank $0$
Dimension $96$
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] = [165,2,Mod(7,165)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(165, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 14]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("165.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.w (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(12\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 165.7
Dual form 165.2.w.a.118.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.12702 + 0.178502i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-0.663811 + 0.215685i) q^{4} +(1.59467 - 1.56749i) q^{5} +(-0.670701 - 0.923140i) q^{6} +(1.36271 + 0.694338i) q^{7} +(2.74302 - 1.39764i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\) \(q+(-1.12702 + 0.178502i) q^{2} +(0.453990 + 0.891007i) q^{3} +(-0.663811 + 0.215685i) q^{4} +(1.59467 - 1.56749i) q^{5} +(-0.670701 - 0.923140i) q^{6} +(1.36271 + 0.694338i) q^{7} +(2.74302 - 1.39764i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-1.51742 + 2.05123i) q^{10} +(1.00122 + 3.16189i) q^{11} +(-0.493541 - 0.493541i) q^{12} +(0.806762 + 5.09369i) q^{13} +(-1.65974 - 0.539283i) q^{14} +(2.12061 + 0.709241i) q^{15} +(-1.71260 + 1.24428i) q^{16} +(0.755485 - 4.76995i) q^{17} +(0.518032 - 1.01670i) q^{18} +(-1.65150 + 5.08279i) q^{19} +(-0.720479 + 1.38446i) q^{20} +1.52941i q^{21} +(-1.69280 - 3.38478i) q^{22} +(4.97973 - 4.97973i) q^{23} +(2.49061 + 1.80953i) q^{24} +(0.0859731 - 4.99926i) q^{25} +(-1.81847 - 5.59667i) q^{26} +(-0.987688 - 0.156434i) q^{27} +(-1.05434 - 0.166992i) q^{28} +(0.562510 + 1.73123i) q^{29} +(-2.51656 - 0.420794i) q^{30} +(-2.07975 - 1.51103i) q^{31} +(-2.64572 + 2.64572i) q^{32} +(-2.36272 + 2.32756i) q^{33} +5.51066i q^{34} +(3.26145 - 1.02879i) q^{35} +(0.215685 - 0.663811i) q^{36} +(4.21510 - 8.27261i) q^{37} +(0.953978 - 6.02318i) q^{38} +(-4.17225 + 3.03132i) q^{39} +(2.18344 - 6.52842i) q^{40} +(-10.1057 - 3.28353i) q^{41} +(-0.273002 - 1.72367i) q^{42} +(0.373613 + 0.373613i) q^{43} +(-1.34660 - 1.88295i) q^{44} +(0.330797 + 2.21146i) q^{45} +(-4.72334 + 6.50112i) q^{46} +(-1.37877 + 0.702519i) q^{47} +(-1.88616 - 0.961048i) q^{48} +(-2.73961 - 3.77075i) q^{49} +(0.795484 + 5.64959i) q^{50} +(4.59304 - 1.49237i) q^{51} +(-1.63417 - 3.20725i) q^{52} +(-11.0715 + 1.75355i) q^{53} +1.14106 q^{54} +(6.55284 + 3.47279i) q^{55} +4.70838 q^{56} +(-5.27857 + 0.836043i) q^{57} +(-0.942986 - 1.85071i) q^{58} +(1.41843 - 0.460877i) q^{59} +(-1.56066 - 0.0134184i) q^{60} +(2.06914 + 2.84793i) q^{61} +(2.61364 + 1.33171i) q^{62} +(-1.36271 + 0.694338i) q^{63} +(4.99806 - 6.87923i) q^{64} +(9.27082 + 6.85820i) q^{65} +(2.24735 - 3.04495i) q^{66} +(0.161671 + 0.161671i) q^{67} +(0.527308 + 3.32929i) q^{68} +(6.69772 + 2.17622i) q^{69} +(-3.49207 + 1.74164i) q^{70} +(-1.37579 + 0.999573i) q^{71} +(-0.481593 + 3.04066i) q^{72} +(1.41733 - 2.78166i) q^{73} +(-3.27381 + 10.0758i) q^{74} +(4.49340 - 2.19301i) q^{75} -3.73022i q^{76} +(-0.831042 + 5.00394i) q^{77} +(4.16110 - 4.16110i) q^{78} +(1.71158 + 1.24354i) q^{79} +(-0.780652 + 4.66869i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(11.9753 + 1.89671i) q^{82} +(6.98551 + 1.10640i) q^{83} +(-0.329871 - 1.01524i) q^{84} +(-6.27207 - 8.79073i) q^{85} +(-0.487759 - 0.354378i) q^{86} +(-1.28716 + 1.28716i) q^{87} +(7.16554 + 7.27378i) q^{88} -11.0867i q^{89} +(-0.767564 - 2.43331i) q^{90} +(-2.43736 + 7.50142i) q^{91} +(-2.23155 + 4.37965i) q^{92} +(0.402149 - 2.53907i) q^{93} +(1.42850 - 1.03786i) q^{94} +(5.33360 + 10.6941i) q^{95} +(-3.55849 - 1.15622i) q^{96} +(2.85798 + 18.0446i) q^{97} +(3.76067 + 3.76067i) q^{98} +(-3.14653 - 1.04851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12702 + 0.178502i −0.796920 + 0.126220i −0.541600 0.840637i \(-0.682181\pi\)
−0.255321 + 0.966856i \(0.582181\pi\)
\(3\) 0.453990 + 0.891007i 0.262112 + 0.514423i
\(4\) −0.663811 + 0.215685i −0.331906 + 0.107843i
\(5\) 1.59467 1.56749i 0.713160 0.701001i
\(6\) −0.670701 0.923140i −0.273812 0.376870i
\(7\) 1.36271 + 0.694338i 0.515058 + 0.262435i 0.692143 0.721761i \(-0.256667\pi\)
−0.177085 + 0.984196i \(0.556667\pi\)
\(8\) 2.74302 1.39764i 0.969803 0.494139i
\(9\) −0.587785 + 0.809017i −0.195928 + 0.269672i
\(10\) −1.51742 + 2.05123i −0.479852 + 0.648657i
\(11\) 1.00122 + 3.16189i 0.301880 + 0.953346i
\(12\) −0.493541 0.493541i −0.142473 0.142473i
\(13\) 0.806762 + 5.09369i 0.223756 + 1.41274i 0.802220 + 0.597029i \(0.203652\pi\)
−0.578464 + 0.815708i \(0.696348\pi\)
\(14\) −1.65974 0.539283i −0.443585 0.144129i
\(15\) 2.12061 + 0.709241i 0.547539 + 0.183125i
\(16\) −1.71260 + 1.24428i −0.428150 + 0.311069i
\(17\) 0.755485 4.76995i 0.183232 1.15688i −0.708968 0.705241i \(-0.750839\pi\)
0.892200 0.451641i \(-0.149161\pi\)
\(18\) 0.518032 1.01670i 0.122101 0.239637i
\(19\) −1.65150 + 5.08279i −0.378880 + 1.16607i 0.561944 + 0.827176i \(0.310054\pi\)
−0.940823 + 0.338897i \(0.889946\pi\)
\(20\) −0.720479 + 1.38446i −0.161104 + 0.309575i
\(21\) 1.52941i 0.333745i
\(22\) −1.69280 3.38478i −0.360905 0.721638i
\(23\) 4.97973 4.97973i 1.03834 1.03834i 0.0391100 0.999235i \(-0.487548\pi\)
0.999235 0.0391100i \(-0.0124523\pi\)
\(24\) 2.49061 + 1.80953i 0.508393 + 0.369369i
\(25\) 0.0859731 4.99926i 0.0171946 0.999852i
\(26\) −1.81847 5.59667i −0.356631 1.09760i
\(27\) −0.987688 0.156434i −0.190081 0.0301058i
\(28\) −1.05434 0.166992i −0.199252 0.0315585i
\(29\) 0.562510 + 1.73123i 0.104456 + 0.321481i 0.989602 0.143831i \(-0.0459421\pi\)
−0.885147 + 0.465312i \(0.845942\pi\)
\(30\) −2.51656 0.420794i −0.459459 0.0768261i
\(31\) −2.07975 1.51103i −0.373535 0.271389i 0.385140 0.922858i \(-0.374153\pi\)
−0.758675 + 0.651469i \(0.774153\pi\)
\(32\) −2.64572 + 2.64572i −0.467702 + 0.467702i
\(33\) −2.36272 + 2.32756i −0.411297 + 0.405177i
\(34\) 5.51066i 0.945071i
\(35\) 3.26145 1.02879i 0.551286 0.173898i
\(36\) 0.215685 0.663811i 0.0359476 0.110635i
\(37\) 4.21510 8.27261i 0.692959 1.36001i −0.229270 0.973363i \(-0.573634\pi\)
0.922229 0.386645i \(-0.126366\pi\)
\(38\) 0.953978 6.02318i 0.154756 0.977089i
\(39\) −4.17225 + 3.03132i −0.668095 + 0.485400i
\(40\) 2.18344 6.52842i 0.345233 1.03223i
\(41\) −10.1057 3.28353i −1.57824 0.512801i −0.616636 0.787248i \(-0.711505\pi\)
−0.961602 + 0.274448i \(0.911505\pi\)
\(42\) −0.273002 1.72367i −0.0421252 0.265968i
\(43\) 0.373613 + 0.373613i 0.0569755 + 0.0569755i 0.735020 0.678045i \(-0.237173\pi\)
−0.678045 + 0.735020i \(0.737173\pi\)
\(44\) −1.34660 1.88295i −0.203007 0.283865i
\(45\) 0.330797 + 2.21146i 0.0493123 + 0.329666i
\(46\) −4.72334 + 6.50112i −0.696419 + 0.958538i
\(47\) −1.37877 + 0.702519i −0.201115 + 0.102473i −0.551647 0.834077i \(-0.686001\pi\)
0.350533 + 0.936550i \(0.386001\pi\)
\(48\) −1.88616 0.961048i −0.272244 0.138715i
\(49\) −2.73961 3.77075i −0.391373 0.538679i
\(50\) 0.795484 + 5.64959i 0.112498 + 0.798973i
\(51\) 4.59304 1.49237i 0.643154 0.208973i
\(52\) −1.63417 3.20725i −0.226619 0.444765i
\(53\) −11.0715 + 1.75355i −1.52079 + 0.240869i −0.860230 0.509907i \(-0.829680\pi\)
−0.660557 + 0.750776i \(0.729680\pi\)
\(54\) 1.14106 0.155279
\(55\) 6.55284 + 3.47279i 0.883585 + 0.468270i
\(56\) 4.70838 0.629184
\(57\) −5.27857 + 0.836043i −0.699163 + 0.110737i
\(58\) −0.942986 1.85071i −0.123820 0.243011i
\(59\) 1.41843 0.460877i 0.184664 0.0600011i −0.215225 0.976564i \(-0.569049\pi\)
0.399889 + 0.916563i \(0.369049\pi\)
\(60\) −1.56066 0.0134184i −0.201480 0.00173231i
\(61\) 2.06914 + 2.84793i 0.264926 + 0.364640i 0.920669 0.390345i \(-0.127644\pi\)
−0.655742 + 0.754985i \(0.727644\pi\)
\(62\) 2.61364 + 1.33171i 0.331932 + 0.169128i
\(63\) −1.36271 + 0.694338i −0.171686 + 0.0874783i
\(64\) 4.99806 6.87923i 0.624757 0.859904i
\(65\) 9.27082 + 6.85820i 1.14990 + 0.850655i
\(66\) 2.24735 3.04495i 0.276630 0.374807i
\(67\) 0.161671 + 0.161671i 0.0197513 + 0.0197513i 0.716913 0.697162i \(-0.245554\pi\)
−0.697162 + 0.716913i \(0.745554\pi\)
\(68\) 0.527308 + 3.32929i 0.0639455 + 0.403736i
\(69\) 6.69772 + 2.17622i 0.806311 + 0.261986i
\(70\) −3.49207 + 1.74164i −0.417382 + 0.208166i
\(71\) −1.37579 + 0.999573i −0.163277 + 0.118627i −0.666423 0.745574i \(-0.732176\pi\)
0.503147 + 0.864201i \(0.332176\pi\)
\(72\) −0.481593 + 3.04066i −0.0567563 + 0.358345i
\(73\) 1.41733 2.78166i 0.165886 0.325569i −0.793067 0.609134i \(-0.791517\pi\)
0.958953 + 0.283565i \(0.0915172\pi\)
\(74\) −3.27381 + 10.0758i −0.380573 + 1.17128i
\(75\) 4.49340 2.19301i 0.518854 0.253227i
\(76\) 3.73022i 0.427886i
\(77\) −0.831042 + 5.00394i −0.0947060 + 0.570252i
\(78\) 4.16110 4.16110i 0.471152 0.471152i
\(79\) 1.71158 + 1.24354i 0.192568 + 0.139909i 0.679892 0.733312i \(-0.262027\pi\)
−0.487323 + 0.873222i \(0.662027\pi\)
\(80\) −0.780652 + 4.66869i −0.0872796 + 0.521976i
\(81\) −0.309017 0.951057i −0.0343352 0.105673i
\(82\) 11.9753 + 1.89671i 1.32246 + 0.209456i
\(83\) 6.98551 + 1.10640i 0.766759 + 0.121443i 0.527548 0.849525i \(-0.323111\pi\)
0.239211 + 0.970968i \(0.423111\pi\)
\(84\) −0.329871 1.01524i −0.0359919 0.110772i
\(85\) −6.27207 8.79073i −0.680302 0.953488i
\(86\) −0.487759 0.354378i −0.0525964 0.0382135i
\(87\) −1.28716 + 1.28716i −0.137998 + 0.137998i
\(88\) 7.16554 + 7.27378i 0.763849 + 0.775387i
\(89\) 11.0867i 1.17518i −0.809158 0.587591i \(-0.800076\pi\)
0.809158 0.587591i \(-0.199924\pi\)
\(90\) −0.767564 2.43331i −0.0809083 0.256493i
\(91\) −2.43736 + 7.50142i −0.255505 + 0.786362i
\(92\) −2.23155 + 4.37965i −0.232655 + 0.456610i
\(93\) 0.402149 2.53907i 0.0417009 0.263289i
\(94\) 1.42850 1.03786i 0.147338 0.107047i
\(95\) 5.33360 + 10.6941i 0.547216 + 1.09719i
\(96\) −3.55849 1.15622i −0.363186 0.118006i
\(97\) 2.85798 + 18.0446i 0.290184 + 1.83215i 0.514327 + 0.857594i \(0.328042\pi\)
−0.224143 + 0.974556i \(0.571958\pi\)
\(98\) 3.76067 + 3.76067i 0.379885 + 0.379885i
\(99\) −3.14653 1.04851i −0.316238 0.105379i
\(100\) 1.02120 + 3.33711i 0.102120 + 0.333711i
\(101\) −1.50802 + 2.07561i −0.150053 + 0.206531i −0.877426 0.479712i \(-0.840741\pi\)
0.727373 + 0.686243i \(0.240741\pi\)
\(102\) −4.91003 + 2.50179i −0.486166 + 0.247714i
\(103\) −3.81197 1.94230i −0.375605 0.191380i 0.255989 0.966680i \(-0.417599\pi\)
−0.631594 + 0.775300i \(0.717599\pi\)
\(104\) 9.33210 + 12.8445i 0.915087 + 1.25951i
\(105\) 2.39733 + 2.43891i 0.233955 + 0.238013i
\(106\) 12.1647 3.95256i 1.18154 0.383907i
\(107\) −4.58406 8.99672i −0.443157 0.869746i −0.999254 0.0386276i \(-0.987701\pi\)
0.556096 0.831118i \(-0.312299\pi\)
\(108\) 0.689379 0.109187i 0.0663356 0.0105065i
\(109\) −15.9895 −1.53152 −0.765758 0.643129i \(-0.777636\pi\)
−0.765758 + 0.643129i \(0.777636\pi\)
\(110\) −8.00506 2.74419i −0.763252 0.261648i
\(111\) 9.28456 0.881252
\(112\) −3.19773 + 0.506471i −0.302157 + 0.0478570i
\(113\) −3.24062 6.36008i −0.304852 0.598306i 0.686859 0.726790i \(-0.258989\pi\)
−0.991712 + 0.128484i \(0.958989\pi\)
\(114\) 5.79979 1.88447i 0.543200 0.176496i
\(115\) 0.135389 15.7467i 0.0126251 1.46839i
\(116\) −0.746802 1.02788i −0.0693388 0.0954367i
\(117\) −4.59509 2.34131i −0.424816 0.216455i
\(118\) −1.51633 + 0.772609i −0.139589 + 0.0711244i
\(119\) 4.34147 5.97551i 0.397981 0.547775i
\(120\) 6.80812 1.01838i 0.621494 0.0929648i
\(121\) −8.99511 + 6.33151i −0.817737 + 0.575591i
\(122\) −2.84031 2.84031i −0.257150 0.257150i
\(123\) −1.66223 10.4949i −0.149878 0.946293i
\(124\) 1.70647 + 0.554466i 0.153246 + 0.0497925i
\(125\) −7.69917 8.10696i −0.688635 0.725108i
\(126\) 1.41186 1.02578i 0.125779 0.0913834i
\(127\) −0.150566 + 0.950634i −0.0133605 + 0.0843551i −0.993468 0.114114i \(-0.963597\pi\)
0.980107 + 0.198469i \(0.0635970\pi\)
\(128\) −1.00762 + 1.97756i −0.0890617 + 0.174793i
\(129\) −0.163275 + 0.502509i −0.0143756 + 0.0442435i
\(130\) −11.6726 6.07444i −1.02375 0.532763i
\(131\) 6.91325i 0.604013i −0.953306 0.302007i \(-0.902344\pi\)
0.953306 0.302007i \(-0.0976565\pi\)
\(132\) 1.06638 2.05467i 0.0928164 0.178836i
\(133\) −5.77970 + 5.77970i −0.501163 + 0.501163i
\(134\) −0.211065 0.153348i −0.0182332 0.0132472i
\(135\) −1.82025 + 1.29873i −0.156662 + 0.111777i
\(136\) −4.59434 14.1399i −0.393962 1.21249i
\(137\) 0.700789 + 0.110994i 0.0598724 + 0.00948286i 0.186299 0.982493i \(-0.440351\pi\)
−0.126426 + 0.991976i \(0.540351\pi\)
\(138\) −7.93689 1.25708i −0.675633 0.107010i
\(139\) −3.23794 9.96534i −0.274638 0.845249i −0.989315 0.145794i \(-0.953426\pi\)
0.714677 0.699455i \(-0.246574\pi\)
\(140\) −1.94309 + 1.38637i −0.164221 + 0.117170i
\(141\) −1.25190 0.909558i −0.105429 0.0765986i
\(142\) 1.37212 1.37212i 0.115145 0.115145i
\(143\) −15.2980 + 7.65081i −1.27928 + 0.639793i
\(144\) 2.11689i 0.176407i
\(145\) 3.61070 + 1.87902i 0.299852 + 0.156044i
\(146\) −1.10082 + 3.38797i −0.0911045 + 0.280391i
\(147\) 2.11601 4.15290i 0.174525 0.342525i
\(148\) −1.01375 + 6.40059i −0.0833300 + 0.526125i
\(149\) 3.78796 2.75211i 0.310322 0.225462i −0.421713 0.906729i \(-0.638571\pi\)
0.732035 + 0.681267i \(0.238571\pi\)
\(150\) −4.67268 + 3.27364i −0.381523 + 0.267292i
\(151\) 17.1709 + 5.57917i 1.39735 + 0.454027i 0.908333 0.418247i \(-0.137355\pi\)
0.489017 + 0.872274i \(0.337355\pi\)
\(152\) 2.57381 + 16.2504i 0.208763 + 1.31808i
\(153\) 3.41490 + 3.41490i 0.276079 + 0.276079i
\(154\) 0.0433847 5.78786i 0.00349604 0.466399i
\(155\) −5.68505 + 0.850385i −0.456634 + 0.0683046i
\(156\) 2.11578 2.91212i 0.169398 0.233156i
\(157\) 14.1989 7.23471i 1.13320 0.577393i 0.216225 0.976344i \(-0.430625\pi\)
0.916972 + 0.398951i \(0.130625\pi\)
\(158\) −2.15096 1.09597i −0.171121 0.0871905i
\(159\) −6.58878 9.06868i −0.522524 0.719193i
\(160\) −0.0719321 + 8.36619i −0.00568673 + 0.661406i
\(161\) 10.2436 3.32833i 0.807306 0.262309i
\(162\) 0.518032 + 1.01670i 0.0407005 + 0.0798792i
\(163\) 4.58026 0.725442i 0.358754 0.0568210i 0.0255440 0.999674i \(-0.491868\pi\)
0.333210 + 0.942853i \(0.391868\pi\)
\(164\) 7.41646 0.579128
\(165\) −0.119347 + 7.41524i −0.00929113 + 0.577276i
\(166\) −8.07027 −0.626374
\(167\) −6.34862 + 1.00552i −0.491271 + 0.0778097i −0.397155 0.917751i \(-0.630003\pi\)
−0.0941162 + 0.995561i \(0.530003\pi\)
\(168\) 2.13756 + 4.19520i 0.164916 + 0.323667i
\(169\) −12.9311 + 4.20158i −0.994702 + 0.323198i
\(170\) 8.63789 + 8.78771i 0.662496 + 0.673987i
\(171\) −3.14134 4.32368i −0.240224 0.330640i
\(172\) −0.328592 0.167426i −0.0250549 0.0127661i
\(173\) −1.70501 + 0.868748i −0.129630 + 0.0660497i −0.517603 0.855621i \(-0.673175\pi\)
0.387973 + 0.921671i \(0.373175\pi\)
\(174\) 1.22089 1.68041i 0.0925555 0.127392i
\(175\) 3.58833 6.75287i 0.271252 0.510469i
\(176\) −5.64896 4.16926i −0.425806 0.314270i
\(177\) 1.05460 + 1.05460i 0.0792686 + 0.0792686i
\(178\) 1.97899 + 12.4948i 0.148331 + 0.936527i
\(179\) 7.59792 + 2.46871i 0.567895 + 0.184520i 0.578871 0.815419i \(-0.303494\pi\)
−0.0109754 + 0.999940i \(0.503494\pi\)
\(180\) −0.696567 1.39665i −0.0519191 0.104100i
\(181\) −8.76400 + 6.36742i −0.651423 + 0.473287i −0.863756 0.503911i \(-0.831894\pi\)
0.212332 + 0.977197i \(0.431894\pi\)
\(182\) 1.40793 8.88929i 0.104362 0.658918i
\(183\) −1.59815 + 3.13655i −0.118139 + 0.231860i
\(184\) 6.69963 20.6193i 0.493903 1.52008i
\(185\) −6.24548 19.7992i −0.459177 1.45567i
\(186\) 2.93335i 0.215084i
\(187\) 15.8385 2.38701i 1.15822 0.174555i
\(188\) 0.763721 0.763721i 0.0557001 0.0557001i
\(189\) −1.23732 0.898965i −0.0900017 0.0653901i
\(190\) −7.91997 11.1004i −0.574575 0.805305i
\(191\) 4.71158 + 14.5007i 0.340918 + 1.04924i 0.963733 + 0.266868i \(0.0859889\pi\)
−0.622815 + 0.782369i \(0.714011\pi\)
\(192\) 8.39851 + 1.33019i 0.606110 + 0.0959984i
\(193\) 11.8207 + 1.87221i 0.850872 + 0.134765i 0.566615 0.823983i \(-0.308253\pi\)
0.284258 + 0.958748i \(0.408253\pi\)
\(194\) −6.44198 19.8264i −0.462507 1.42345i
\(195\) −1.90183 + 11.3739i −0.136193 + 0.814503i
\(196\) 2.63188 + 1.91217i 0.187991 + 0.136584i
\(197\) −11.1163 + 11.1163i −0.792004 + 0.792004i −0.981820 0.189816i \(-0.939211\pi\)
0.189816 + 0.981820i \(0.439211\pi\)
\(198\) 3.73335 + 0.620024i 0.265317 + 0.0440632i
\(199\) 21.5416i 1.52704i 0.645783 + 0.763521i \(0.276531\pi\)
−0.645783 + 0.763521i \(0.723469\pi\)
\(200\) −6.75133 13.8332i −0.477391 0.978156i
\(201\) −0.0706530 + 0.217448i −0.00498348 + 0.0153376i
\(202\) 1.32906 2.60843i 0.0935124 0.183528i
\(203\) −0.435517 + 2.74974i −0.0305673 + 0.192994i
\(204\) −2.72703 + 1.98130i −0.190930 + 0.138719i
\(205\) −21.2621 + 10.6043i −1.48501 + 0.740638i
\(206\) 4.64285 + 1.50855i 0.323483 + 0.105106i
\(207\) 1.10167 + 6.95569i 0.0765716 + 0.483454i
\(208\) −7.71962 7.71962i −0.535260 0.535260i
\(209\) −17.7248 0.132861i −1.22605 0.00919022i
\(210\) −3.13718 2.32076i −0.216486 0.160148i
\(211\) −4.13145 + 5.68646i −0.284421 + 0.391472i −0.927192 0.374587i \(-0.877785\pi\)
0.642771 + 0.766058i \(0.277785\pi\)
\(212\) 6.97117 3.55199i 0.478782 0.243952i
\(213\) −1.51522 0.772045i −0.103821 0.0528996i
\(214\) 6.77223 + 9.32118i 0.462940 + 0.637183i
\(215\) 1.18143 + 0.0101578i 0.0805726 + 0.000692759i
\(216\) −2.92788 + 0.951327i −0.199217 + 0.0647296i
\(217\) −1.78495 3.50315i −0.121170 0.237810i
\(218\) 18.0204 2.85415i 1.22050 0.193308i
\(219\) 3.12193 0.210961
\(220\) −5.09888 0.891923i −0.343766 0.0601334i
\(221\) 24.9062 1.67537
\(222\) −10.4638 + 1.65731i −0.702287 + 0.111231i
\(223\) −7.69484 15.1020i −0.515285 1.01130i −0.991270 0.131850i \(-0.957908\pi\)
0.475985 0.879454i \(-0.342092\pi\)
\(224\) −5.44239 + 1.76834i −0.363635 + 0.118152i
\(225\) 3.99395 + 3.00805i 0.266264 + 0.200536i
\(226\) 4.78752 + 6.58946i 0.318461 + 0.438324i
\(227\) 12.2415 + 6.23734i 0.812495 + 0.413987i 0.810303 0.586011i \(-0.199302\pi\)
0.00219156 + 0.999998i \(0.499302\pi\)
\(228\) 3.32365 1.69348i 0.220114 0.112154i
\(229\) 12.1652 16.7439i 0.803897 1.10647i −0.188339 0.982104i \(-0.560310\pi\)
0.992236 0.124365i \(-0.0396895\pi\)
\(230\) 2.65823 + 17.7709i 0.175278 + 1.17178i
\(231\) −4.83583 + 1.53128i −0.318174 + 0.100751i
\(232\) 3.96261 + 3.96261i 0.260158 + 0.260158i
\(233\) −2.61019 16.4801i −0.170999 1.07965i −0.912615 0.408821i \(-0.865940\pi\)
0.741615 0.670825i \(-0.234060\pi\)
\(234\) 5.59667 + 1.81847i 0.365866 + 0.118877i
\(235\) −1.09750 + 3.28150i −0.0715932 + 0.214061i
\(236\) −0.842168 + 0.611871i −0.0548205 + 0.0398294i
\(237\) −0.330958 + 2.08959i −0.0214980 + 0.135733i
\(238\) −3.82626 + 7.50946i −0.248020 + 0.486766i
\(239\) −0.433057 + 1.33281i −0.0280121 + 0.0862124i −0.964085 0.265593i \(-0.914432\pi\)
0.936073 + 0.351806i \(0.114432\pi\)
\(240\) −4.51424 + 1.42398i −0.291393 + 0.0919172i
\(241\) 1.19156i 0.0767551i −0.999263 0.0383775i \(-0.987781\pi\)
0.999263 0.0383775i \(-0.0122190\pi\)
\(242\) 9.00745 8.74135i 0.579021 0.561915i
\(243\) 0.707107 0.707107i 0.0453609 0.0453609i
\(244\) −1.98777 1.44420i −0.127254 0.0924556i
\(245\) −10.2794 1.71882i −0.656726 0.109811i
\(246\) 3.74671 + 11.5312i 0.238882 + 0.735202i
\(247\) −27.2226 4.31163i −1.73213 0.274342i
\(248\) −7.81667 1.23804i −0.496359 0.0786155i
\(249\) 2.18555 + 6.72643i 0.138503 + 0.426270i
\(250\) 10.1242 + 7.76235i 0.640310 + 0.490934i
\(251\) 22.6893 + 16.4847i 1.43213 + 1.04051i 0.989614 + 0.143749i \(0.0459157\pi\)
0.442521 + 0.896758i \(0.354084\pi\)
\(252\) 0.754827 0.754827i 0.0475496 0.0475496i
\(253\) 20.7312 + 10.7595i 1.30336 + 0.676447i
\(254\) 1.09826i 0.0689107i
\(255\) 4.98513 9.57936i 0.312181 0.599883i
\(256\) −4.47266 + 13.7654i −0.279541 + 0.860340i
\(257\) 3.75290 7.36549i 0.234100 0.459446i −0.743833 0.668365i \(-0.766994\pi\)
0.977933 + 0.208919i \(0.0669944\pi\)
\(258\) 0.0943148 0.595480i 0.00587179 0.0370730i
\(259\) 11.4880 8.34650i 0.713827 0.518626i
\(260\) −7.63329 2.55297i −0.473396 0.158328i
\(261\) −1.73123 0.562510i −0.107160 0.0348185i
\(262\) 1.23403 + 7.79134i 0.0762385 + 0.481351i
\(263\) −11.5967 11.5967i −0.715083 0.715083i 0.252511 0.967594i \(-0.418744\pi\)
−0.967594 + 0.252511i \(0.918744\pi\)
\(264\) −3.22789 + 9.68677i −0.198663 + 0.596180i
\(265\) −14.9068 + 20.1508i −0.915715 + 1.23785i
\(266\) 5.48212 7.54550i 0.336131 0.462644i
\(267\) 9.87828 5.03323i 0.604541 0.308029i
\(268\) −0.142189 0.0724491i −0.00868560 0.00442554i
\(269\) −7.41230 10.2022i −0.451936 0.622036i 0.520876 0.853632i \(-0.325605\pi\)
−0.972812 + 0.231596i \(0.925605\pi\)
\(270\) 1.81963 1.78860i 0.110739 0.108851i
\(271\) 5.44539 1.76932i 0.330784 0.107478i −0.138916 0.990304i \(-0.544362\pi\)
0.469700 + 0.882826i \(0.344362\pi\)
\(272\) 4.64129 + 9.10904i 0.281419 + 0.552317i
\(273\) −7.79035 + 1.23387i −0.471493 + 0.0746772i
\(274\) −0.809613 −0.0489105
\(275\) 15.8932 4.73353i 0.958396 0.285443i
\(276\) −4.91540 −0.295872
\(277\) 17.3908 2.75443i 1.04491 0.165498i 0.389699 0.920942i \(-0.372579\pi\)
0.655213 + 0.755444i \(0.272579\pi\)
\(278\) 5.42804 + 10.6531i 0.325552 + 0.638932i
\(279\) 2.44490 0.794395i 0.146372 0.0475592i
\(280\) 7.50834 7.38032i 0.448709 0.441059i
\(281\) −7.90740 10.8836i −0.471716 0.649261i 0.505171 0.863020i \(-0.331430\pi\)
−0.976887 + 0.213758i \(0.931430\pi\)
\(282\) 1.57327 + 0.801620i 0.0936867 + 0.0477358i
\(283\) 11.0795 5.64529i 0.658608 0.335578i −0.0925422 0.995709i \(-0.529499\pi\)
0.751150 + 0.660131i \(0.229499\pi\)
\(284\) 0.697674 0.960266i 0.0413994 0.0569813i
\(285\) −7.10711 + 9.60730i −0.420989 + 0.569087i
\(286\) 15.8754 11.3533i 0.938730 0.671334i
\(287\) −11.4912 11.4912i −0.678307 0.678307i
\(288\) −0.585317 3.69555i −0.0344902 0.217762i
\(289\) −6.01367 1.95396i −0.353746 0.114939i
\(290\) −4.40472 1.47317i −0.258654 0.0865074i
\(291\) −14.7803 + 10.7386i −0.866439 + 0.629505i
\(292\) −0.340874 + 2.15220i −0.0199482 + 0.125948i
\(293\) −7.72404 + 15.1593i −0.451243 + 0.885615i 0.547563 + 0.836764i \(0.315556\pi\)
−0.998806 + 0.0488501i \(0.984444\pi\)
\(294\) −1.64347 + 5.05809i −0.0958493 + 0.294994i
\(295\) 1.53952 2.95832i 0.0896344 0.172240i
\(296\) 28.5831i 1.66136i
\(297\) −0.494266 3.27959i −0.0286802 0.190301i
\(298\) −3.77783 + 3.77783i −0.218844 + 0.218844i
\(299\) 29.3827 + 21.3478i 1.69924 + 1.23457i
\(300\) −2.50977 + 2.42491i −0.144902 + 0.140002i
\(301\) 0.249715 + 0.768543i 0.0143933 + 0.0442981i
\(302\) −20.3478 3.22278i −1.17088 0.185450i
\(303\) −2.53401 0.401347i −0.145575 0.0230568i
\(304\) −3.49604 10.7597i −0.200512 0.617112i
\(305\) 7.76369 + 1.29817i 0.444548 + 0.0743329i
\(306\) −4.45822 3.23909i −0.254859 0.185166i
\(307\) 3.41893 3.41893i 0.195128 0.195128i −0.602779 0.797908i \(-0.705940\pi\)
0.797908 + 0.602779i \(0.205940\pi\)
\(308\) −0.527622 3.50092i −0.0300641 0.199483i
\(309\) 4.27827i 0.243382i
\(310\) 6.25534 1.97319i 0.355280 0.112070i
\(311\) −4.08382 + 12.5687i −0.231572 + 0.712706i 0.765985 + 0.642858i \(0.222252\pi\)
−0.997558 + 0.0698483i \(0.977748\pi\)
\(312\) −7.20788 + 14.1463i −0.408066 + 0.800874i
\(313\) −0.422154 + 2.66537i −0.0238615 + 0.150656i −0.996742 0.0806510i \(-0.974300\pi\)
0.972881 + 0.231307i \(0.0743001\pi\)
\(314\) −14.7110 + 10.6882i −0.830190 + 0.603168i
\(315\) −1.08472 + 3.24328i −0.0611171 + 0.182738i
\(316\) −1.40438 0.456311i −0.0790027 0.0256695i
\(317\) −0.651276 4.11199i −0.0365793 0.230953i 0.962625 0.270838i \(-0.0873007\pi\)
−0.999204 + 0.0398853i \(0.987301\pi\)
\(318\) 9.04443 + 9.04443i 0.507187 + 0.507187i
\(319\) −4.91076 + 3.51194i −0.274950 + 0.196631i
\(320\) −2.81283 18.8045i −0.157242 1.05120i
\(321\) 5.93502 8.16885i 0.331260 0.455941i
\(322\) −10.9505 + 5.57958i −0.610250 + 0.310938i
\(323\) 22.9970 + 11.7175i 1.27959 + 0.651981i
\(324\) 0.410258 + 0.564672i 0.0227921 + 0.0313706i
\(325\) 25.5341 3.59529i 1.41638 0.199431i
\(326\) −5.03254 + 1.63517i −0.278726 + 0.0905637i
\(327\) −7.25908 14.2467i −0.401428 0.787847i
\(328\) −32.3092 + 5.11727i −1.78397 + 0.282554i
\(329\) −2.36666 −0.130478
\(330\) −1.18913 8.37839i −0.0654593 0.461215i
\(331\) −34.3521 −1.88816 −0.944082 0.329710i \(-0.893049\pi\)
−0.944082 + 0.329710i \(0.893049\pi\)
\(332\) −4.87569 + 0.772234i −0.267588 + 0.0423818i
\(333\) 4.21510 + 8.27261i 0.230986 + 0.453336i
\(334\) 6.97551 2.26648i 0.381683 0.124016i
\(335\) 0.511231 + 0.00439554i 0.0279315 + 0.000240154i
\(336\) −1.90301 2.61927i −0.103818 0.142893i
\(337\) 9.91719 + 5.05306i 0.540224 + 0.275258i 0.702738 0.711448i \(-0.251960\pi\)
−0.162514 + 0.986706i \(0.551960\pi\)
\(338\) 13.8236 7.04347i 0.751904 0.383114i
\(339\) 4.19566 5.77483i 0.227877 0.313646i
\(340\) 6.05950 + 4.48259i 0.328623 + 0.243102i
\(341\) 2.69542 8.08883i 0.145965 0.438035i
\(342\) 4.31212 + 4.31212i 0.233173 + 0.233173i
\(343\) −2.78990 17.6147i −0.150640 0.951106i
\(344\) 1.54700 + 0.502652i 0.0834089 + 0.0271012i
\(345\) 14.0919 7.02822i 0.758681 0.378387i
\(346\) 1.76651 1.28344i 0.0949679 0.0689982i
\(347\) 1.32668 8.37634i 0.0712200 0.449665i −0.926148 0.377160i \(-0.876901\pi\)
0.997368 0.0725052i \(-0.0230994\pi\)
\(348\) 0.576811 1.13205i 0.0309203 0.0606845i
\(349\) −10.7385 + 33.0498i −0.574820 + 1.76911i 0.0619732 + 0.998078i \(0.480261\pi\)
−0.636793 + 0.771035i \(0.719739\pi\)
\(350\) −2.83871 + 8.25112i −0.151735 + 0.441041i
\(351\) 5.15719i 0.275270i
\(352\) −11.0144 5.71653i −0.587071 0.304692i
\(353\) 1.39846 1.39846i 0.0744324 0.0744324i −0.668911 0.743343i \(-0.733239\pi\)
0.743343 + 0.668911i \(0.233239\pi\)
\(354\) −1.37680 1.00030i −0.0731760 0.0531655i
\(355\) −0.627127 + 3.75053i −0.0332844 + 0.199058i
\(356\) 2.39123 + 7.35945i 0.126735 + 0.390050i
\(357\) 7.29521 + 1.15545i 0.386103 + 0.0611527i
\(358\) −9.00364 1.42604i −0.475857 0.0753684i
\(359\) −1.56703 4.82281i −0.0827045 0.254538i 0.901150 0.433507i \(-0.142724\pi\)
−0.983855 + 0.178969i \(0.942724\pi\)
\(360\) 3.99821 + 5.60375i 0.210724 + 0.295344i
\(361\) −7.73601 5.62054i −0.407158 0.295818i
\(362\) 8.74057 8.74057i 0.459394 0.459394i
\(363\) −9.72511 5.14026i −0.510436 0.269794i
\(364\) 5.50523i 0.288552i
\(365\) −2.10004 6.65749i −0.109921 0.348469i
\(366\) 1.24126 3.82021i 0.0648818 0.199686i
\(367\) −14.9050 + 29.2526i −0.778033 + 1.52697i 0.0703089 + 0.997525i \(0.477602\pi\)
−0.848341 + 0.529450i \(0.822398\pi\)
\(368\) −2.33212 + 14.7244i −0.121570 + 0.767564i
\(369\) 8.59638 6.24564i 0.447510 0.325135i
\(370\) 10.5730 + 21.1992i 0.549662 + 1.10209i
\(371\) −16.3048 5.29777i −0.846505 0.275046i
\(372\) 0.280689 + 1.77220i 0.0145530 + 0.0918842i
\(373\) −21.3362 21.3362i −1.10475 1.10475i −0.993830 0.110918i \(-0.964621\pi\)
−0.110918 0.993830i \(-0.535379\pi\)
\(374\) −17.4241 + 5.51739i −0.900979 + 0.285297i
\(375\) 3.72800 10.5405i 0.192513 0.544309i
\(376\) −2.80013 + 3.85405i −0.144406 + 0.198757i
\(377\) −8.36454 + 4.26195i −0.430796 + 0.219501i
\(378\) 1.55494 + 0.792284i 0.0799777 + 0.0407507i
\(379\) 17.2174 + 23.6978i 0.884400 + 1.21727i 0.975183 + 0.221401i \(0.0710631\pi\)
−0.0907827 + 0.995871i \(0.528937\pi\)
\(380\) −5.84707 5.94849i −0.299948 0.305151i
\(381\) −0.915376 + 0.297424i −0.0468961 + 0.0152375i
\(382\) −7.89843 15.5015i −0.404119 0.793128i
\(383\) −21.9012 + 3.46880i −1.11910 + 0.177248i −0.688458 0.725276i \(-0.741712\pi\)
−0.430639 + 0.902524i \(0.641712\pi\)
\(384\) −2.21947 −0.113262
\(385\) 6.51837 + 9.28230i 0.332207 + 0.473070i
\(386\) −13.6563 −0.695088
\(387\) −0.521864 + 0.0826552i −0.0265278 + 0.00420160i
\(388\) −5.78911 11.3618i −0.293898 0.576807i
\(389\) 3.18340 1.03435i 0.161405 0.0524437i −0.227200 0.973848i \(-0.572957\pi\)
0.388605 + 0.921404i \(0.372957\pi\)
\(390\) 0.113132 13.1581i 0.00572868 0.666285i
\(391\) −19.9909 27.5151i −1.01098 1.39150i
\(392\) −12.7849 6.51425i −0.645737 0.329019i
\(393\) 6.15975 3.13855i 0.310718 0.158319i
\(394\) 10.5440 14.5125i 0.531197 0.731131i
\(395\) 4.67865 0.699846i 0.235408 0.0352131i
\(396\) 2.31485 + 0.0173517i 0.116325 + 0.000871954i
\(397\) −13.1144 13.1144i −0.658193 0.658193i 0.296759 0.954952i \(-0.404094\pi\)
−0.954952 + 0.296759i \(0.904094\pi\)
\(398\) −3.84521 24.2777i −0.192743 1.21693i
\(399\) −7.77368 2.52582i −0.389171 0.126449i
\(400\) 6.07322 + 8.66871i 0.303661 + 0.433435i
\(401\) 11.5293 8.37654i 0.575747 0.418305i −0.261441 0.965219i \(-0.584198\pi\)
0.837188 + 0.546915i \(0.184198\pi\)
\(402\) 0.0408123 0.257678i 0.00203553 0.0128518i
\(403\) 6.01886 11.8127i 0.299821 0.588431i
\(404\) 0.553361 1.70307i 0.0275307 0.0847309i
\(405\) −1.98355 1.03225i −0.0985634 0.0512927i
\(406\) 3.17675i 0.157659i
\(407\) 30.3773 + 5.04499i 1.50575 + 0.250071i
\(408\) 10.5130 10.5130i 0.520471 0.520471i
\(409\) 23.5669 + 17.1224i 1.16531 + 0.846646i 0.990440 0.137946i \(-0.0440500\pi\)
0.174869 + 0.984592i \(0.444050\pi\)
\(410\) 22.0698 15.7466i 1.08995 0.777667i
\(411\) 0.219255 + 0.674798i 0.0108151 + 0.0332853i
\(412\) 2.94935 + 0.467132i 0.145304 + 0.0230139i
\(413\) 2.25293 + 0.356828i 0.110859 + 0.0175584i
\(414\) −2.48321 7.64253i −0.122043 0.375610i
\(415\) 12.8739 9.18535i 0.631953 0.450891i
\(416\) −15.6110 11.3420i −0.765390 0.556088i
\(417\) 7.40919 7.40919i 0.362830 0.362830i
\(418\) 19.9998 3.01416i 0.978222 0.147428i
\(419\) 24.0358i 1.17423i 0.809505 + 0.587113i \(0.199735\pi\)
−0.809505 + 0.587113i \(0.800265\pi\)
\(420\) −2.11741 1.10191i −0.103319 0.0537676i
\(421\) 5.17693 15.9330i 0.252308 0.776525i −0.742040 0.670356i \(-0.766142\pi\)
0.994348 0.106169i \(-0.0338584\pi\)
\(422\) 3.64117 7.14620i 0.177249 0.347871i
\(423\) 0.242072 1.52838i 0.0117699 0.0743124i
\(424\) −27.9185 + 20.2840i −1.35584 + 0.985076i
\(425\) −23.7813 4.18696i −1.15356 0.203097i
\(426\) 1.84549 + 0.599637i 0.0894144 + 0.0290525i
\(427\) 0.842224 + 5.31759i 0.0407581 + 0.257336i
\(428\) 4.98341 + 4.98341i 0.240882 + 0.240882i
\(429\) −13.7621 10.1572i −0.664438 0.490394i
\(430\) −1.33330 + 0.199439i −0.0642974 + 0.00961778i
\(431\) −16.3046 + 22.4413i −0.785363 + 1.08096i 0.209307 + 0.977850i \(0.432879\pi\)
−0.994670 + 0.103110i \(0.967121\pi\)
\(432\) 1.88616 0.961048i 0.0907480 0.0462384i
\(433\) 25.4978 + 12.9918i 1.22534 + 0.624344i 0.942302 0.334764i \(-0.108656\pi\)
0.283042 + 0.959108i \(0.408656\pi\)
\(434\) 2.63698 + 3.62949i 0.126579 + 0.174221i
\(435\) −0.0349955 + 4.07021i −0.00167790 + 0.195152i
\(436\) 10.6140 3.44870i 0.508319 0.165163i
\(437\) 17.0869 + 33.5349i 0.817377 + 1.60419i
\(438\) −3.51847 + 0.557271i −0.168119 + 0.0266274i
\(439\) −25.4805 −1.21612 −0.608059 0.793892i \(-0.708051\pi\)
−0.608059 + 0.793892i \(0.708051\pi\)
\(440\) 22.8283 + 0.367416i 1.08829 + 0.0175159i
\(441\) 4.66090 0.221948
\(442\) −28.0696 + 4.44579i −1.33514 + 0.211465i
\(443\) 8.11633 + 15.9292i 0.385619 + 0.756819i 0.999468 0.0326037i \(-0.0103799\pi\)
−0.613850 + 0.789423i \(0.710380\pi\)
\(444\) −6.16320 + 2.00254i −0.292492 + 0.0950365i
\(445\) −17.3782 17.6796i −0.823804 0.838093i
\(446\) 11.3679 + 15.6466i 0.538288 + 0.740889i
\(447\) 4.17185 + 2.12566i 0.197322 + 0.100540i
\(448\) 11.5874 5.90409i 0.547455 0.278942i
\(449\) 2.89649 3.98668i 0.136694 0.188143i −0.735182 0.677870i \(-0.762903\pi\)
0.871876 + 0.489726i \(0.162903\pi\)
\(450\) −5.03819 2.67719i −0.237503 0.126204i
\(451\) 0.264156 35.2405i 0.0124386 1.65941i
\(452\) 3.52294 + 3.52294i 0.165705 + 0.165705i
\(453\) 2.82436 + 17.8323i 0.132700 + 0.837835i
\(454\) −14.9097 4.84446i −0.699747 0.227362i
\(455\) 7.87158 + 15.7828i 0.369025 + 0.739911i
\(456\) −13.3107 + 9.67080i −0.623331 + 0.452877i
\(457\) 0.560637 3.53972i 0.0262255 0.165581i −0.971100 0.238674i \(-0.923287\pi\)
0.997325 + 0.0730934i \(0.0232871\pi\)
\(458\) −10.7215 + 21.0422i −0.500984 + 0.983236i
\(459\) −1.49237 + 4.59304i −0.0696578 + 0.214385i
\(460\) 3.30646 + 10.4820i 0.154164 + 0.488728i
\(461\) 6.46205i 0.300968i 0.988612 + 0.150484i \(0.0480832\pi\)
−0.988612 + 0.150484i \(0.951917\pi\)
\(462\) 5.17672 2.58898i 0.240843 0.120450i
\(463\) 8.69314 8.69314i 0.404005 0.404005i −0.475637 0.879642i \(-0.657782\pi\)
0.879642 + 0.475637i \(0.157782\pi\)
\(464\) −3.11748 2.26498i −0.144725 0.105149i
\(465\) −3.33866 4.67935i −0.154826 0.217000i
\(466\) 5.88345 + 18.1074i 0.272546 + 0.838809i
\(467\) −30.7920 4.87697i −1.42488 0.225679i −0.604096 0.796912i \(-0.706466\pi\)
−0.820788 + 0.571232i \(0.806466\pi\)
\(468\) 3.55526 + 0.563098i 0.164342 + 0.0260292i
\(469\) 0.108057 + 0.332566i 0.00498963 + 0.0153565i
\(470\) 0.651150 3.89420i 0.0300353 0.179626i
\(471\) 12.8924 + 9.36684i 0.594048 + 0.431601i
\(472\) 3.24665 3.24665i 0.149439 0.149439i
\(473\) −0.807255 + 1.55539i −0.0371176 + 0.0715171i
\(474\) 2.41407i 0.110882i
\(475\) 25.2682 + 8.69326i 1.15939 + 0.398874i
\(476\) −1.59308 + 4.90300i −0.0730188 + 0.224729i
\(477\) 5.08901 9.98774i 0.233010 0.457307i
\(478\) 0.250152 1.57940i 0.0114417 0.0722401i
\(479\) −28.8664 + 20.9727i −1.31894 + 0.958265i −0.318994 + 0.947757i \(0.603345\pi\)
−0.999945 + 0.0105085i \(0.996655\pi\)
\(480\) −7.48699 + 3.73408i −0.341733 + 0.170437i
\(481\) 45.5387 + 14.7964i 2.07639 + 0.674659i
\(482\) 0.212695 + 1.34291i 0.00968801 + 0.0611677i
\(483\) 7.61605 + 7.61605i 0.346542 + 0.346542i
\(484\) 4.60544 6.14304i 0.209338 0.279229i
\(485\) 32.8422 + 24.2954i 1.49129 + 1.10320i
\(486\) −0.670701 + 0.923140i −0.0304236 + 0.0418745i
\(487\) −13.1637 + 6.70725i −0.596505 + 0.303934i −0.726053 0.687639i \(-0.758647\pi\)
0.129548 + 0.991573i \(0.458647\pi\)
\(488\) 9.65605 + 4.92000i 0.437109 + 0.222718i
\(489\) 2.72577 + 3.75170i 0.123264 + 0.169658i
\(490\) 11.8918 + 0.102245i 0.537219 + 0.00461898i
\(491\) −30.7738 + 9.99901i −1.38880 + 0.451249i −0.905553 0.424234i \(-0.860543\pi\)
−0.483249 + 0.875483i \(0.660543\pi\)
\(492\) 3.36700 + 6.60811i 0.151796 + 0.297917i
\(493\) 8.68284 1.37523i 0.391055 0.0619371i
\(494\) 31.4499 1.41500
\(495\) −6.66121 + 3.26011i −0.299399 + 0.146531i
\(496\) 5.44192 0.244350
\(497\) −2.56886 + 0.406867i −0.115229 + 0.0182505i
\(498\) −3.66383 7.19066i −0.164180 0.322221i
\(499\) 22.6752 7.36761i 1.01508 0.329819i 0.246204 0.969218i \(-0.420817\pi\)
0.768875 + 0.639399i \(0.220817\pi\)
\(500\) 6.85935 + 3.72089i 0.306759 + 0.166403i
\(501\) −3.77814 5.20017i −0.168795 0.232326i
\(502\) −28.5137 14.5285i −1.27263 0.648438i
\(503\) −12.8873 + 6.56640i −0.574615 + 0.292781i −0.717048 0.697023i \(-0.754507\pi\)
0.142433 + 0.989804i \(0.454507\pi\)
\(504\) −2.76752 + 3.80916i −0.123275 + 0.169674i
\(505\) 0.848691 + 5.67372i 0.0377662 + 0.252477i
\(506\) −25.2849 8.42563i −1.12405 0.374565i
\(507\) −9.61424 9.61424i −0.426984 0.426984i
\(508\) −0.105091 0.663516i −0.00466264 0.0294388i
\(509\) 27.4102 + 8.90613i 1.21494 + 0.394757i 0.845236 0.534394i \(-0.179460\pi\)
0.369702 + 0.929151i \(0.379460\pi\)
\(510\) −3.90839 + 11.6859i −0.173066 + 0.517463i
\(511\) 3.86283 2.80651i 0.170881 0.124153i
\(512\) 3.27801 20.6965i 0.144869 0.914666i
\(513\) 2.42629 4.76186i 0.107123 0.210241i
\(514\) −2.91483 + 8.97092i −0.128568 + 0.395690i
\(515\) −9.12337 + 2.87788i −0.402024 + 0.126815i
\(516\) 0.368787i 0.0162350i
\(517\) −3.60175 3.65615i −0.158405 0.160797i
\(518\) −11.4573 + 11.4573i −0.503403 + 0.503403i
\(519\) −1.54812 1.12478i −0.0679550 0.0493722i
\(520\) 35.0153 + 5.85491i 1.53552 + 0.256755i
\(521\) 6.78813 + 20.8917i 0.297394 + 0.915283i 0.982407 + 0.186753i \(0.0597963\pi\)
−0.685013 + 0.728531i \(0.740204\pi\)
\(522\) 2.05153 + 0.324931i 0.0897931 + 0.0142218i
\(523\) 8.47327 + 1.34203i 0.370510 + 0.0586831i 0.338913 0.940818i \(-0.389941\pi\)
0.0315970 + 0.999501i \(0.489941\pi\)
\(524\) 1.49109 + 4.58909i 0.0651384 + 0.200475i
\(525\) 7.64592 + 0.131488i 0.333695 + 0.00573862i
\(526\) 15.1397 + 10.9996i 0.660122 + 0.479607i
\(527\) −8.77875 + 8.77875i −0.382408 + 0.382408i
\(528\) 1.15026 6.92606i 0.0500587 0.301418i
\(529\) 26.5954i 1.15632i
\(530\) 13.2032 25.3711i 0.573511 1.10205i
\(531\) −0.460877 + 1.41843i −0.0200004 + 0.0615548i
\(532\) 2.59003 5.08323i 0.112292 0.220386i
\(533\) 8.57242 54.1241i 0.371313 2.34438i
\(534\) −10.2345 + 7.43582i −0.442892 + 0.321780i
\(535\) −21.4123 7.16139i −0.925735 0.309614i
\(536\) 0.669425 + 0.217509i 0.0289148 + 0.00939498i
\(537\) 1.24974 + 7.89057i 0.0539304 + 0.340503i
\(538\) 10.1749 + 10.1749i 0.438670 + 0.438670i
\(539\) 9.17975 12.4377i 0.395400 0.535730i
\(540\) 0.928187 1.25471i 0.0399428 0.0539941i
\(541\) −11.0577 + 15.2196i −0.475406 + 0.654340i −0.977614 0.210407i \(-0.932521\pi\)
0.502208 + 0.864747i \(0.332521\pi\)
\(542\) −5.82122 + 2.96606i −0.250043 + 0.127403i
\(543\) −9.65219 4.91804i −0.414215 0.211053i
\(544\) 10.6211 + 14.6187i 0.455378 + 0.626774i
\(545\) −25.4980 + 25.0633i −1.09222 + 1.07359i
\(546\) 8.55960 2.78118i 0.366317 0.119024i
\(547\) −7.40894 14.5409i −0.316783 0.621723i 0.676628 0.736325i \(-0.263441\pi\)
−0.993411 + 0.114602i \(0.963441\pi\)
\(548\) −0.489131 + 0.0774708i −0.0208947 + 0.00330939i
\(549\) −3.52023 −0.150240
\(550\) −17.0669 + 8.17173i −0.727737 + 0.348444i
\(551\) −9.72846 −0.414447
\(552\) 21.4135 3.39157i 0.911420 0.144355i
\(553\) 1.46897 + 2.88301i 0.0624667 + 0.122598i
\(554\) −19.1080 + 6.20858i −0.811823 + 0.263777i
\(555\) 14.8059 14.5534i 0.628473 0.617758i
\(556\) 4.29876 + 5.91673i 0.182308 + 0.250925i
\(557\) 34.9168 + 17.7910i 1.47947 + 0.753828i 0.992803 0.119758i \(-0.0382120\pi\)
0.486668 + 0.873587i \(0.338212\pi\)
\(558\) −2.61364 + 1.33171i −0.110644 + 0.0563760i
\(559\) −1.60166 + 2.20449i −0.0677428 + 0.0932400i
\(560\) −4.30546 + 5.82006i −0.181939 + 0.245942i
\(561\) 9.31735 + 13.0285i 0.393379 + 0.550063i
\(562\) 10.8545 + 10.8545i 0.457870 + 0.457870i
\(563\) 3.95223 + 24.9534i 0.166567 + 1.05166i 0.919364 + 0.393408i \(0.128704\pi\)
−0.752797 + 0.658253i \(0.771296\pi\)
\(564\) 1.02720 + 0.333758i 0.0432530 + 0.0140538i
\(565\) −15.1371 5.06263i −0.636822 0.212986i
\(566\) −11.4791 + 8.34004i −0.482502 + 0.350558i
\(567\) 0.239253 1.51058i 0.0100477 0.0634384i
\(568\) −2.37679 + 4.66471i −0.0997277 + 0.195727i
\(569\) 6.03151 18.5631i 0.252854 0.778205i −0.741391 0.671074i \(-0.765833\pi\)
0.994245 0.107131i \(-0.0341666\pi\)
\(570\) 6.29490 12.0962i 0.263665 0.506654i
\(571\) 36.8794i 1.54335i −0.636015 0.771677i \(-0.719418\pi\)
0.636015 0.771677i \(-0.280582\pi\)
\(572\) 8.50479 8.37824i 0.355603 0.350312i
\(573\) −10.7812 + 10.7812i −0.450393 + 0.450393i
\(574\) 15.0020 + 10.8996i 0.626172 + 0.454941i
\(575\) −24.4668 25.3231i −1.02034 1.05605i
\(576\) 2.62763 + 8.08702i 0.109485 + 0.336959i
\(577\) 10.0534 + 1.59230i 0.418528 + 0.0662884i 0.362147 0.932121i \(-0.382044\pi\)
0.0563813 + 0.998409i \(0.482044\pi\)
\(578\) 7.12629 + 1.12869i 0.296415 + 0.0469475i
\(579\) 3.69833 + 11.3823i 0.153697 + 0.473032i
\(580\) −2.80210 0.468539i −0.116351 0.0194550i
\(581\) 8.75104 + 6.35800i 0.363054 + 0.263774i
\(582\) 14.7408 14.7408i 0.611027 0.611027i
\(583\) −16.6296 33.2512i −0.688726 1.37712i
\(584\) 9.61106i 0.397708i
\(585\) −10.9976 + 3.46910i −0.454697 + 0.143430i
\(586\) 5.99916 18.4635i 0.247823 0.762720i
\(587\) 14.0705 27.6148i 0.580750 1.13979i −0.394544 0.918877i \(-0.629097\pi\)
0.975294 0.220910i \(-0.0709026\pi\)
\(588\) −0.508910 + 3.21313i −0.0209871 + 0.132507i
\(589\) 11.1150 8.07549i 0.457984 0.332745i
\(590\) −1.20700 + 3.60889i −0.0496914 + 0.148575i
\(591\) −14.9514 4.85800i −0.615018 0.199831i
\(592\) 3.07462 + 19.4124i 0.126366 + 0.797845i
\(593\) 14.3239 + 14.3239i 0.588212 + 0.588212i 0.937147 0.348935i \(-0.113457\pi\)
−0.348935 + 0.937147i \(0.613457\pi\)
\(594\) 1.14246 + 3.60792i 0.0468756 + 0.148035i
\(595\) −2.44331 16.3342i −0.100166 0.669636i
\(596\) −1.92090 + 2.64389i −0.0786832 + 0.108298i
\(597\) −19.1937 + 9.77967i −0.785545 + 0.400255i
\(598\) −36.9253 18.8144i −1.50999 0.769378i
\(599\) 5.02516 + 6.91653i 0.205322 + 0.282602i 0.899243 0.437450i \(-0.144118\pi\)
−0.693921 + 0.720052i \(0.744118\pi\)
\(600\) 9.26045 12.2956i 0.378056 0.501967i
\(601\) −19.5570 + 6.35445i −0.797746 + 0.259204i −0.679399 0.733769i \(-0.737760\pi\)
−0.118347 + 0.992972i \(0.537760\pi\)
\(602\) −0.418618 0.821585i −0.0170616 0.0334853i
\(603\) −0.225823 + 0.0357668i −0.00919622 + 0.00145654i
\(604\) −12.6016 −0.512752
\(605\) −4.41973 + 24.1964i −0.179687 + 0.983724i
\(606\) 2.92751 0.118922
\(607\) −23.4385 + 3.71230i −0.951341 + 0.150678i −0.612768 0.790263i \(-0.709944\pi\)
−0.338572 + 0.940940i \(0.609944\pi\)
\(608\) −9.07824 17.8171i −0.368171 0.722577i
\(609\) −2.64776 + 0.860309i −0.107293 + 0.0348615i
\(610\) −8.98153 0.0772227i −0.363651 0.00312666i
\(611\) −4.69076 6.45628i −0.189768 0.261193i
\(612\) −3.00340 1.53031i −0.121405 0.0618590i
\(613\) −14.0591 + 7.16345i −0.567840 + 0.289329i −0.714245 0.699896i \(-0.753230\pi\)
0.146405 + 0.989225i \(0.453230\pi\)
\(614\) −3.24290 + 4.46347i −0.130873 + 0.180131i
\(615\) −19.1013 14.1304i −0.770239 0.569793i
\(616\) 4.71413 + 14.8874i 0.189938 + 0.599830i
\(617\) −3.71959 3.71959i −0.149745 0.149745i 0.628259 0.778004i \(-0.283768\pi\)
−0.778004 + 0.628259i \(0.783768\pi\)
\(618\) 0.763679 + 4.82168i 0.0307197 + 0.193956i
\(619\) −3.25418 1.05735i −0.130796 0.0424983i 0.242887 0.970055i \(-0.421905\pi\)
−0.373684 + 0.927556i \(0.621905\pi\)
\(620\) 3.59038 1.79068i 0.144193 0.0719153i
\(621\) −5.69742 + 4.13942i −0.228630 + 0.166109i
\(622\) 2.35900 14.8941i 0.0945871 0.597199i
\(623\) 7.69788 15.1079i 0.308409 0.605287i
\(624\) 3.37360 10.3829i 0.135052 0.415647i
\(625\) −24.9852 0.859604i −0.999409 0.0343842i
\(626\) 3.07927i 0.123072i
\(627\) −7.92849 15.8532i −0.316633 0.633115i
\(628\) −7.86499 + 7.86499i −0.313847 + 0.313847i
\(629\) −36.2754 26.3556i −1.44640 1.05087i
\(630\) 0.643567 3.84885i 0.0256403 0.153342i
\(631\) −7.93923 24.4344i −0.316056 0.972720i −0.975318 0.220806i \(-0.929131\pi\)
0.659262 0.751913i \(-0.270869\pi\)
\(632\) 6.43292 + 1.01887i 0.255888 + 0.0405287i
\(633\) −6.94231 1.09955i −0.275932 0.0437033i
\(634\) 1.46800 + 4.51803i 0.0583016 + 0.179434i
\(635\) 1.25000 + 1.75196i 0.0496048 + 0.0695244i
\(636\) 6.32969 + 4.59879i 0.250988 + 0.182354i
\(637\) 16.9968 16.9968i 0.673439 0.673439i
\(638\) 4.90762 4.83459i 0.194294 0.191403i
\(639\) 1.70057i 0.0672737i
\(640\) 1.49298 + 4.73299i 0.0590152 + 0.187088i
\(641\) 13.0377 40.1258i 0.514956 1.58487i −0.268405 0.963306i \(-0.586497\pi\)
0.783362 0.621566i \(-0.213503\pi\)
\(642\) −5.23070 + 10.2658i −0.206439 + 0.405160i
\(643\) −4.86082 + 30.6900i −0.191692 + 1.21030i 0.684746 + 0.728782i \(0.259913\pi\)
−0.876438 + 0.481514i \(0.840087\pi\)
\(644\) −6.08192 + 4.41877i −0.239661 + 0.174124i
\(645\) 0.527305 + 1.05727i 0.0207626 + 0.0416300i
\(646\) −28.0095 9.10085i −1.10202 0.358068i
\(647\) −2.25497 14.2373i −0.0886521 0.559727i −0.991535 0.129840i \(-0.958553\pi\)
0.902883 0.429887i \(-0.141447\pi\)
\(648\) −2.17687 2.17687i −0.0855156 0.0855156i
\(649\) 2.87741 + 4.02349i 0.112948 + 0.157936i
\(650\) −28.1355 + 8.60983i −1.10357 + 0.337705i
\(651\) 2.31098 3.18080i 0.0905746 0.124665i
\(652\) −2.88396 + 1.46945i −0.112945 + 0.0575482i
\(653\) 14.6435 + 7.46123i 0.573044 + 0.291980i 0.716399 0.697691i \(-0.245789\pi\)
−0.143355 + 0.989671i \(0.545789\pi\)
\(654\) 10.7242 + 14.7606i 0.419348 + 0.577183i
\(655\) −10.8364 11.0244i −0.423414 0.430758i
\(656\) 21.3925 6.95086i 0.835239 0.271385i
\(657\) 1.41733 + 2.78166i 0.0552952 + 0.108523i
\(658\) 2.66726 0.422453i 0.103981 0.0164689i
\(659\) −27.5121 −1.07172 −0.535860 0.844307i \(-0.680012\pi\)
−0.535860 + 0.844307i \(0.680012\pi\)
\(660\) −1.52013 4.94806i −0.0591712 0.192603i
\(661\) 47.5374 1.84899 0.924496 0.381193i \(-0.124487\pi\)
0.924496 + 0.381193i \(0.124487\pi\)
\(662\) 38.7154 6.13192i 1.50472 0.238324i
\(663\) 11.3072 + 22.1915i 0.439134 + 0.861848i
\(664\) 20.7077 6.72834i 0.803615 0.261110i
\(665\) −0.157139 + 18.2763i −0.00609359 + 0.708726i
\(666\) −6.22716 8.57095i −0.241298 0.332118i
\(667\) 11.4222 + 5.81990i 0.442269 + 0.225347i
\(668\) 3.99741 2.03678i 0.154665 0.0788055i
\(669\) 9.96258 13.7123i 0.385176 0.530149i
\(670\) −0.576950 + 0.0863018i −0.0222895 + 0.00333413i
\(671\) −6.93317 + 9.39380i −0.267652 + 0.362644i
\(672\) −4.04639 4.04639i −0.156093 0.156093i
\(673\) −5.79174 36.5676i −0.223255 1.40958i −0.803582 0.595194i \(-0.797075\pi\)
0.580327 0.814384i \(-0.302925\pi\)
\(674\) −12.0788 3.92464i −0.465259 0.151172i
\(675\) −0.866971 + 4.92426i −0.0333697 + 0.189535i
\(676\) 7.67761 5.57811i 0.295293 0.214543i
\(677\) 0.342773 2.16419i 0.0131739 0.0831764i −0.980225 0.197884i \(-0.936593\pi\)
0.993399 + 0.114708i \(0.0365931\pi\)
\(678\) −3.69776 + 7.25726i −0.142012 + 0.278713i
\(679\) −8.63443 + 26.5740i −0.331359 + 1.01982i
\(680\) −29.4906 15.3470i −1.13091 0.588532i
\(681\) 13.7389i 0.526477i
\(682\) −1.59391 + 9.59737i −0.0610339 + 0.367502i
\(683\) −8.84087 + 8.84087i −0.338286 + 0.338286i −0.855722 0.517436i \(-0.826887\pi\)
0.517436 + 0.855722i \(0.326887\pi\)
\(684\) 3.01781 + 2.19257i 0.115389 + 0.0838349i
\(685\) 1.29151 0.921478i 0.0493461 0.0352078i
\(686\) 6.28852 + 19.3541i 0.240097 + 0.738942i
\(687\) 20.4418 + 3.23767i 0.779904 + 0.123525i
\(688\) −1.10473 0.174972i −0.0421174 0.00667074i
\(689\) −17.8641 54.9801i −0.680569 2.09458i
\(690\) −14.6272 + 10.4363i −0.556849 + 0.397305i
\(691\) 10.3561 + 7.52417i 0.393966 + 0.286233i 0.767079 0.641553i \(-0.221710\pi\)
−0.373113 + 0.927786i \(0.621710\pi\)
\(692\) 0.944432 0.944432i 0.0359019 0.0359019i
\(693\) −3.55980 3.61357i −0.135226 0.137268i
\(694\) 9.67708i 0.367337i
\(695\) −20.7840 10.8161i −0.788382 0.410276i
\(696\) −1.73172 + 5.32969i −0.0656408 + 0.202021i
\(697\) −23.2969 + 45.7228i −0.882434 + 1.73187i
\(698\) 6.20304 39.1644i 0.234788 1.48240i
\(699\) 13.4989 9.80750i 0.510574 0.370954i
\(700\) −0.925480 + 5.25658i −0.0349799 + 0.198680i
\(701\) −15.0984 4.90578i −0.570260 0.185289i 0.00967259 0.999953i \(-0.496921\pi\)
−0.579932 + 0.814665i \(0.696921\pi\)
\(702\) 0.920567 + 5.81223i 0.0347446 + 0.219369i
\(703\) 35.0867 + 35.0867i 1.32332 + 1.32332i
\(704\) 26.7555 + 8.91567i 1.00839 + 0.336022i
\(705\) −3.42209 + 0.511886i −0.128883 + 0.0192787i
\(706\) −1.32646 + 1.82571i −0.0499219 + 0.0687116i
\(707\) −3.49617 + 1.78139i −0.131487 + 0.0669960i
\(708\) −0.927517 0.472594i −0.0348582 0.0177612i
\(709\) −9.51797 13.1004i −0.357455 0.491995i 0.591982 0.805951i \(-0.298345\pi\)
−0.949437 + 0.313956i \(0.898345\pi\)
\(710\) 0.0373052 4.33885i 0.00140004 0.162834i
\(711\) −2.01209 + 0.653767i −0.0754592 + 0.0245182i
\(712\) −15.4951 30.4109i −0.580704 1.13970i
\(713\) −17.8811 + 2.83209i −0.669653 + 0.106063i
\(714\) −8.42806 −0.315412
\(715\) −12.4027 + 36.1799i −0.463836 + 1.35305i
\(716\) −5.57605 −0.208387
\(717\) −1.38415 + 0.219227i −0.0516919 + 0.00818720i
\(718\) 2.62694 + 5.15567i 0.0980366 + 0.192408i
\(719\) −11.5085 + 3.73935i −0.429196 + 0.139454i −0.515646 0.856802i \(-0.672448\pi\)
0.0864496 + 0.996256i \(0.472448\pi\)
\(720\) −3.31819 3.37575i −0.123662 0.125807i
\(721\) −3.84602 5.29359i −0.143233 0.197144i
\(722\) 9.72188 + 4.95354i 0.361811 + 0.184352i
\(723\) 1.06169 0.540957i 0.0394846 0.0201184i
\(724\) 4.44429 6.11703i 0.165171 0.227338i
\(725\) 8.70323 2.66330i 0.323230 0.0989124i
\(726\) 11.8779 + 4.05721i 0.440830 + 0.150577i
\(727\) −7.08408 7.08408i −0.262734 0.262734i 0.563430 0.826164i \(-0.309481\pi\)
−0.826164 + 0.563430i \(0.809481\pi\)
\(728\) 3.79854 + 23.9831i 0.140783 + 0.888871i
\(729\) 0.951057 + 0.309017i 0.0352243 + 0.0114451i
\(730\) 3.55515 + 7.12824i 0.131582 + 0.263828i
\(731\) 2.06438 1.49986i 0.0763537 0.0554742i
\(732\) 0.384363 2.42677i 0.0142065 0.0896962i
\(733\) −2.29530 + 4.50478i −0.0847788 + 0.166388i −0.929504 0.368813i \(-0.879764\pi\)
0.844725 + 0.535201i \(0.179764\pi\)
\(734\) 11.5765 35.6287i 0.427296 1.31508i
\(735\) −3.13527 9.93933i −0.115646 0.366618i
\(736\) 26.3499i 0.971271i
\(737\) −0.349318 + 0.673056i −0.0128673 + 0.0247923i
\(738\) −8.57340 + 8.57340i −0.315591 + 0.315591i
\(739\) 15.2930 + 11.1110i 0.562562 + 0.408725i 0.832396 0.554182i \(-0.186969\pi\)
−0.269834 + 0.962907i \(0.586969\pi\)
\(740\) 8.41622 + 11.7959i 0.309387 + 0.433626i
\(741\) −8.51709 26.2129i −0.312883 0.962956i
\(742\) 19.3215 + 3.06022i 0.709314 + 0.112344i
\(743\) 37.9157 + 6.00526i 1.39099 + 0.220312i 0.806570 0.591138i \(-0.201321\pi\)
0.584422 + 0.811450i \(0.301321\pi\)
\(744\) −2.44559 7.52676i −0.0896598 0.275944i
\(745\) 1.72666 10.3263i 0.0632600 0.378327i
\(746\) 27.8548 + 20.2377i 1.01984 + 0.740955i
\(747\) −5.00107 + 5.00107i −0.182980 + 0.182980i
\(748\) −9.99891 + 5.00065i −0.365596 + 0.182842i
\(749\) 15.4428i 0.564269i
\(750\) −2.32002 + 12.5448i −0.0847150 + 0.458070i
\(751\) −15.8889 + 48.9010i −0.579794 + 1.78442i 0.0394461 + 0.999222i \(0.487441\pi\)
−0.619240 + 0.785202i \(0.712559\pi\)
\(752\) 1.48716 2.91871i 0.0542310 0.106434i
\(753\) −4.38728 + 27.7002i −0.159881 + 1.00945i
\(754\) 8.66621 6.29637i 0.315605 0.229300i
\(755\) 36.1273 18.0182i 1.31481 0.655751i
\(756\) 1.01524 + 0.329871i 0.0369239 + 0.0119973i
\(757\) −1.81438 11.4556i −0.0659449 0.416360i −0.998472 0.0552598i \(-0.982401\pi\)
0.932527 0.361100i \(-0.117599\pi\)
\(758\) −23.6344 23.6344i −0.858440 0.858440i
\(759\) −0.175075 + 23.3563i −0.00635481 + 0.847781i
\(760\) 29.5766 + 21.8797i 1.07286 + 0.793659i
\(761\) 14.5038 19.9627i 0.525761 0.723648i −0.460716 0.887548i \(-0.652407\pi\)
0.986477 + 0.163900i \(0.0524073\pi\)
\(762\) 0.978553 0.498597i 0.0354492 0.0180623i
\(763\) −21.7891 11.1021i −0.788819 0.401924i
\(764\) −6.25520 8.60954i −0.226305 0.311482i
\(765\) 10.7985 + 0.0928448i 0.390420 + 0.00335681i
\(766\) 24.0638 7.81879i 0.869459 0.282504i
\(767\) 3.49191 + 6.85325i 0.126085 + 0.247457i
\(768\) −14.2956 + 2.26421i −0.515850 + 0.0817026i
\(769\) −1.44960 −0.0522737 −0.0261369 0.999658i \(-0.508321\pi\)
−0.0261369 + 0.999658i \(0.508321\pi\)
\(770\) −9.00321 9.29776i −0.324453 0.335068i
\(771\) 8.26648 0.297710
\(772\) −8.25052 + 1.30675i −0.296943 + 0.0470311i
\(773\) 8.49326 + 16.6690i 0.305481 + 0.599541i 0.991806 0.127754i \(-0.0407770\pi\)
−0.686324 + 0.727296i \(0.740777\pi\)
\(774\) 0.573395 0.186307i 0.0206103 0.00669668i
\(775\) −7.73283 + 10.2673i −0.277772 + 0.368813i
\(776\) 33.0593 + 45.5022i 1.18676 + 1.63343i
\(777\) 12.6522 + 6.44662i 0.453895 + 0.231271i
\(778\) −3.40311 + 1.73397i −0.122008 + 0.0621660i
\(779\) 33.3790 45.9422i 1.19593 1.64605i
\(780\) −1.19073 7.96033i −0.0426349 0.285026i
\(781\) −4.53801 3.34932i −0.162383 0.119848i
\(782\) 27.4416 + 27.4416i 0.981309 + 0.981309i
\(783\) −0.284761 1.79791i −0.0101765 0.0642521i
\(784\) 9.38371 + 3.04895i 0.335133 + 0.108891i
\(785\) 11.3023 33.7936i 0.403398 1.20615i
\(786\) −6.38190 + 4.63672i −0.227635 + 0.165386i
\(787\) −7.49622 + 47.3293i −0.267211 + 1.68711i 0.380151 + 0.924925i \(0.375872\pi\)
−0.647362 + 0.762182i \(0.724128\pi\)
\(788\) 4.98150 9.77675i 0.177459 0.348282i
\(789\) 5.06794 15.5975i 0.180424 0.555287i
\(790\) −5.14799 + 1.62388i −0.183157 + 0.0577752i
\(791\) 10.9171i 0.388166i
\(792\) −10.0964 + 1.52163i −0.358760 + 0.0540687i
\(793\) −12.8372 + 12.8372i −0.455861 + 0.455861i
\(794\) 17.1211 + 12.4392i 0.607604 + 0.441450i
\(795\) −24.7220 4.13377i −0.876799 0.146610i
\(796\) −4.64620 14.2995i −0.164680 0.506834i
\(797\) −6.39340 1.01261i −0.226466 0.0358686i 0.0421702 0.999110i \(-0.486573\pi\)
−0.268636 + 0.963242i \(0.586573\pi\)
\(798\) 9.21192 + 1.45902i 0.326098 + 0.0516489i
\(799\) 2.30934 + 7.10741i 0.0816985 + 0.251442i
\(800\) 12.9992 + 13.4541i 0.459591 + 0.475674i
\(801\) 8.96929 + 6.51657i 0.316914 + 0.230252i
\(802\) −11.4985 + 11.4985i −0.406026 + 0.406026i
\(803\) 10.2144 + 1.69638i 0.360458 + 0.0598639i
\(804\) 0.159583i 0.00562806i
\(805\) 11.1180 21.3643i 0.391859 0.752991i
\(806\) −4.67476 + 14.3874i −0.164662 + 0.506776i
\(807\) 5.72507 11.2361i 0.201532 0.395529i
\(808\) −1.23557 + 7.80109i −0.0434673 + 0.274442i
\(809\) −6.35210 + 4.61507i −0.223328 + 0.162257i −0.693823 0.720145i \(-0.744075\pi\)
0.470496 + 0.882402i \(0.344075\pi\)
\(810\) 2.41975 + 0.809290i 0.0850213 + 0.0284356i
\(811\) 10.7006 + 3.47684i 0.375749 + 0.122088i 0.490802 0.871271i \(-0.336704\pi\)
−0.115053 + 0.993359i \(0.536704\pi\)
\(812\) −0.303979 1.91925i −0.0106676 0.0673523i
\(813\) 4.04863 + 4.04863i 0.141992 + 0.141992i
\(814\) −35.1363 0.263375i −1.23153 0.00923129i
\(815\) 6.16691 8.33634i 0.216017 0.292009i
\(816\) −6.00911 + 8.27084i −0.210361 + 0.289537i
\(817\) −2.51602 + 1.28198i −0.0880245 + 0.0448507i
\(818\) −29.6166 15.0904i −1.03552 0.527625i
\(819\) −4.63613 6.38109i −0.162000 0.222973i
\(820\) 11.8268 11.6252i 0.413011 0.405969i
\(821\) −0.129033 + 0.0419254i −0.00450329 + 0.00146321i −0.311268 0.950322i \(-0.600754\pi\)
0.306764 + 0.951785i \(0.400754\pi\)
\(822\) −0.367557 0.721370i −0.0128200 0.0251607i
\(823\) 12.4117 1.96582i 0.432646 0.0685243i 0.0636865 0.997970i \(-0.479714\pi\)
0.368959 + 0.929446i \(0.379714\pi\)
\(824\) −13.1709 −0.458831
\(825\) 11.4330 + 12.0120i 0.398045 + 0.418203i
\(826\) −2.60278 −0.0905622
\(827\) −41.4149 + 6.55948i −1.44014 + 0.228096i −0.827143 0.561991i \(-0.810036\pi\)
−0.612995 + 0.790086i \(0.710036\pi\)
\(828\) −2.23155 4.37965i −0.0775516 0.152203i
\(829\) 0.734919 0.238790i 0.0255248 0.00829351i −0.296227 0.955118i \(-0.595728\pi\)
0.321752 + 0.946824i \(0.395728\pi\)
\(830\) −12.8695 + 12.6500i −0.446705 + 0.439089i
\(831\) 10.3495 + 14.2448i 0.359019 + 0.494148i
\(832\) 39.0730 + 19.9087i 1.35461 + 0.690209i
\(833\) −20.0560 + 10.2190i −0.694900 + 0.354069i
\(834\) −7.02772 + 9.67283i −0.243350 + 0.334943i
\(835\) −8.54784 + 11.5549i −0.295810 + 0.399873i
\(836\) 11.7945 3.73478i 0.407923 0.129170i
\(837\) 1.81777 + 1.81777i 0.0628314 + 0.0628314i
\(838\) −4.29043 27.0887i −0.148210 0.935764i
\(839\) 30.3509 + 9.86162i 1.04783 + 0.340461i 0.781817 0.623508i \(-0.214293\pi\)
0.266014 + 0.963969i \(0.414293\pi\)
\(840\) 9.98463 + 3.33938i 0.344502 + 0.115220i
\(841\) 20.7808 15.0981i 0.716578 0.520624i
\(842\) −2.99042 + 18.8808i −0.103057 + 0.650675i
\(843\) 6.10748 11.9866i 0.210353 0.412840i
\(844\) 1.51602 4.66583i 0.0521835 0.160604i
\(845\) −14.0350 + 26.9695i −0.482819 + 0.927780i
\(846\) 1.76572i 0.0607067i
\(847\) −16.6540 + 2.38239i −0.572237 + 0.0818599i
\(848\) 16.7791 16.7791i 0.576198 0.576198i
\(849\) 10.0600 + 7.30900i 0.345258 + 0.250844i
\(850\) 27.5492 + 0.473769i 0.944931 + 0.0162501i
\(851\) −20.2053 62.1854i −0.692627 2.13169i
\(852\) 1.17234 + 0.185681i 0.0401637 + 0.00636131i
\(853\) 21.3940 + 3.38848i 0.732517 + 0.116019i 0.511540 0.859260i \(-0.329075\pi\)
0.220977 + 0.975279i \(0.429075\pi\)
\(854\) −1.89840 5.84267i −0.0649619 0.199932i
\(855\) −11.7867 1.97086i −0.403097 0.0674020i
\(856\) −25.1483 18.2713i −0.859551 0.624500i
\(857\) −20.0724 + 20.0724i −0.685660 + 0.685660i −0.961270 0.275610i \(-0.911120\pi\)
0.275610 + 0.961270i \(0.411120\pi\)
\(858\) 17.3231 + 8.99076i 0.591402 + 0.306940i
\(859\) 42.2029i 1.43994i −0.694003 0.719972i \(-0.744154\pi\)
0.694003 0.719972i \(-0.255846\pi\)
\(860\) −0.786435 + 0.248073i −0.0268172 + 0.00845923i
\(861\) 5.02186 15.4557i 0.171144 0.526729i
\(862\) 14.3697 28.2021i 0.489434 0.960568i
\(863\) 0.682739 4.31065i 0.0232407 0.146736i −0.973339 0.229370i \(-0.926333\pi\)
0.996580 + 0.0826342i \(0.0263333\pi\)
\(864\) 3.02703 2.19927i 0.102982 0.0748205i
\(865\) −1.35719 + 4.05796i −0.0461459 + 0.137975i
\(866\) −31.0554 10.0905i −1.05531 0.342890i
\(867\) −0.989159 6.24530i −0.0335936 0.212102i
\(868\) 1.94045 + 1.94045i 0.0658630 + 0.0658630i
\(869\) −2.21826 + 6.65690i −0.0752493 + 0.225820i
\(870\) −0.687100 4.59344i −0.0232949 0.155732i
\(871\) −0.693074 + 0.953935i −0.0234839 + 0.0323229i
\(872\) −43.8595 + 22.3475i −1.48527 + 0.756782i
\(873\) −16.2783 8.29419i −0.550936 0.280716i
\(874\) −25.2433 34.7444i −0.853866 1.17525i
\(875\) −4.86281 16.3933i −0.164393 0.554194i
\(876\) −2.07238 + 0.673355i −0.0700191 + 0.0227506i
\(877\) 20.6943 + 40.6149i 0.698797 + 1.37147i 0.918312 + 0.395858i \(0.129553\pi\)
−0.219514 + 0.975609i \(0.570447\pi\)
\(878\) 28.7169 4.54831i 0.969149 0.153498i
\(879\) −17.0137 −0.573856
\(880\) −15.5435 + 2.20606i −0.523971 + 0.0743661i
\(881\) −4.08780 −0.137721 −0.0688607 0.997626i \(-0.521936\pi\)
−0.0688607 + 0.997626i \(0.521936\pi\)
\(882\) −5.25291 + 0.831980i −0.176875 + 0.0280142i
\(883\) −0.179803 0.352882i −0.00605084 0.0118754i 0.887961 0.459918i \(-0.152121\pi\)
−0.894012 + 0.448043i \(0.852121\pi\)
\(884\) −16.5330 + 5.37189i −0.556064 + 0.180676i
\(885\) 3.33481 + 0.0286726i 0.112099 + 0.000963818i
\(886\) −11.9906 16.5037i −0.402833 0.554452i
\(887\) 21.0632 + 10.7322i 0.707233 + 0.360353i 0.770322 0.637655i \(-0.220095\pi\)
−0.0630894 + 0.998008i \(0.520095\pi\)
\(888\) 25.4677 12.9764i 0.854640 0.435461i
\(889\) −0.865239 + 1.19090i −0.0290192 + 0.0399415i
\(890\) 22.7413 + 16.8232i 0.762291 + 0.563913i
\(891\) 2.69774 1.92930i 0.0903778 0.0646339i
\(892\) 8.36520 + 8.36520i 0.280088 + 0.280088i
\(893\) −1.29372 8.16822i −0.0432927 0.273339i
\(894\) −5.08118 1.65097i −0.169940 0.0552168i
\(895\) 15.9859 7.97284i 0.534349 0.266503i
\(896\) −2.74619 + 1.99523i −0.0917438 + 0.0666558i
\(897\) −5.68154 + 35.8718i −0.189701 + 1.19773i
\(898\) −2.55277 + 5.01008i −0.0851869 + 0.167189i
\(899\) 1.44606 4.45050i 0.0482286 0.148432i
\(900\) −3.30002 1.13534i −0.110001 0.0378446i
\(901\) 54.1352i 1.80351i
\(902\) 5.99279 + 39.7638i 0.199538 + 1.32399i
\(903\) −0.571408 + 0.571408i −0.0190153 + 0.0190153i
\(904\) −17.7782 12.9166i −0.591293 0.429600i
\(905\) −3.99489 + 23.8914i −0.132795 + 0.794178i
\(906\) −6.36620 19.5931i −0.211503 0.650938i
\(907\) −20.5222 3.25040i −0.681429 0.107928i −0.193883 0.981025i \(-0.562108\pi\)
−0.487547 + 0.873097i \(0.662108\pi\)
\(908\) −9.47133 1.50011i −0.314317 0.0497829i
\(909\) −0.792812 2.44003i −0.0262959 0.0809305i
\(910\) −11.6887 16.3824i −0.387475 0.543072i
\(911\) 31.2914 + 22.7346i 1.03673 + 0.753229i 0.969645 0.244518i \(-0.0786297\pi\)
0.0670864 + 0.997747i \(0.478630\pi\)
\(912\) 7.99980 7.99980i 0.264900 0.264900i
\(913\) 3.49574 + 23.1952i 0.115692 + 0.767648i
\(914\) 4.08940i 0.135265i
\(915\) 2.36797 + 7.50685i 0.0782825 + 0.248169i
\(916\) −4.46396 + 13.7387i −0.147493 + 0.453938i
\(917\) 4.80013 9.42079i 0.158514 0.311102i
\(918\) 0.862057 5.44282i 0.0284521 0.179640i
\(919\) −12.4240 + 9.02653i −0.409828 + 0.297758i −0.773532 0.633757i \(-0.781512\pi\)
0.363704 + 0.931515i \(0.381512\pi\)
\(920\) −21.6368 43.3827i −0.713344 1.43028i
\(921\) 4.59845 + 1.49413i 0.151524 + 0.0492331i
\(922\) −1.15349 7.28284i −0.0379881 0.239847i
\(923\) −6.20146 6.20146i −0.204123 0.204123i
\(924\) 2.87980 2.05950i 0.0947386 0.0677525i
\(925\) −40.9945 21.7836i −1.34789 0.716241i
\(926\) −8.24557 + 11.3490i −0.270966 + 0.372953i
\(927\) 3.81197 1.94230i 0.125202 0.0637934i
\(928\) −6.06859 3.09210i −0.199211 0.101503i
\(929\) 30.4150 + 41.8626i 0.997882 + 1.37347i 0.926616 + 0.376010i \(0.122704\pi\)
0.0712667 + 0.997457i \(0.477296\pi\)
\(930\) 4.59799 + 4.67774i 0.150774 + 0.153389i
\(931\) 23.6904 7.69748i 0.776422 0.252275i
\(932\) 5.28719 + 10.3767i 0.173188 + 0.339900i
\(933\) −13.0528 + 2.06736i −0.427330 + 0.0676825i
\(934\) 35.5736 1.16400
\(935\) 21.5156 28.6331i 0.703635 0.936402i
\(936\) −15.8767 −0.518947
\(937\) 14.0246 2.22128i 0.458163 0.0725659i 0.0769129 0.997038i \(-0.475494\pi\)
0.381250 + 0.924472i \(0.375494\pi\)
\(938\) −0.181146 0.355519i −0.00591463 0.0116081i
\(939\) −2.56652 + 0.833912i −0.0837552 + 0.0272137i
\(940\) 0.0207641 2.41501i 0.000677251 0.0787689i
\(941\) −1.00940 1.38932i −0.0329054 0.0452904i 0.792247 0.610200i \(-0.208911\pi\)
−0.825153 + 0.564910i \(0.808911\pi\)
\(942\) −16.2019 8.25527i −0.527886 0.268971i
\(943\) −66.6745 + 33.9723i −2.17122 + 1.10629i
\(944\) −1.85575 + 2.55422i −0.0603995 + 0.0831328i
\(945\) −3.38224 + 0.505924i −0.110024 + 0.0164577i
\(946\) 0.632149 1.89705i 0.0205529 0.0616785i
\(947\) 36.4494 + 36.4494i 1.18444 + 1.18444i 0.978581 + 0.205864i \(0.0660006\pi\)
0.205864 + 0.978581i \(0.433999\pi\)
\(948\) −0.231000 1.45847i −0.00750252 0.0473691i
\(949\) 15.3124 + 4.97530i 0.497061 + 0.161505i
\(950\) −30.0294 5.28702i −0.974284 0.171534i
\(951\) 3.36814 2.44710i 0.109219 0.0793525i
\(952\) 3.55711 22.4587i 0.115287 0.727892i
\(953\) −14.6261 + 28.7053i −0.473785 + 0.929856i 0.523196 + 0.852213i \(0.324740\pi\)
−0.996981 + 0.0776436i \(0.975260\pi\)
\(954\) −3.95256 + 12.1647i −0.127969 + 0.393848i
\(955\) 30.2432 + 15.7386i 0.978646 + 0.509290i
\(956\) 0.978139i 0.0316353i
\(957\) −5.35860 2.78113i −0.173219 0.0899012i
\(958\) 28.7892 28.7892i 0.930137 0.930137i
\(959\) 0.877908 + 0.637837i 0.0283491 + 0.0205968i
\(960\) 15.4780 11.0433i 0.499549 0.356422i
\(961\) −7.53736 23.1976i −0.243141 0.748310i
\(962\) −53.9640 8.54706i −1.73987 0.275568i
\(963\) 9.97294 + 1.57956i 0.321373 + 0.0509006i
\(964\) 0.257002 + 0.790971i 0.00827748 + 0.0254755i
\(965\) 21.7848 15.5432i 0.701279 0.500354i
\(966\) −9.94288 7.22393i −0.319907 0.232426i
\(967\) 42.0426 42.0426i 1.35200 1.35200i 0.468574 0.883424i \(-0.344768\pi\)
0.883424 0.468574i \(-0.155232\pi\)
\(968\) −15.8246 + 29.9393i −0.508622 + 0.962286i
\(969\) 25.8101i 0.829140i
\(970\) −41.3504 21.5189i −1.32768 0.690930i
\(971\) 11.6094 35.7301i 0.372564 1.14664i −0.572543 0.819875i \(-0.694043\pi\)
0.945107 0.326760i \(-0.105957\pi\)
\(972\) −0.316873 + 0.621898i −0.0101637 + 0.0199474i
\(973\) 2.50693 15.8281i 0.0803685 0.507427i
\(974\) 13.6385 9.90892i 0.437004 0.317502i
\(975\) 14.7957 + 21.1188i 0.473840 + 0.676343i
\(976\) −7.08722 2.30278i −0.226856 0.0737101i
\(977\) −8.88236 56.0810i −0.284172 1.79419i −0.555303 0.831648i \(-0.687398\pi\)
0.271132 0.962542i \(-0.412602\pi\)
\(978\) −3.74167 3.74167i −0.119645 0.119645i
\(979\) 35.0548 11.1002i 1.12036 0.354764i
\(980\) 7.19430 1.07614i 0.229813 0.0343761i
\(981\) 9.39839 12.9358i 0.300068 0.413008i
\(982\) 32.8977 16.7622i 1.04981 0.534904i
\(983\) −23.2288 11.8357i −0.740885 0.377500i 0.0424509 0.999099i \(-0.486483\pi\)
−0.783336 + 0.621599i \(0.786483\pi\)
\(984\) −19.2276 26.4645i −0.612952 0.843657i
\(985\) −0.302231 + 35.1515i −0.00962988 + 1.12002i
\(986\) −9.54022 + 3.09980i −0.303822 + 0.0987179i
\(987\) −1.07444 2.10871i −0.0341998 0.0671209i
\(988\) 19.0006 3.00940i 0.604490 0.0957418i
\(989\) 3.72099 0.118320
\(990\) 6.92535 4.86323i 0.220102 0.154564i
\(991\) 20.4321 0.649046 0.324523 0.945878i \(-0.394796\pi\)
0.324523 + 0.945878i \(0.394796\pi\)
\(992\) 9.50021 1.50468i 0.301632 0.0477738i
\(993\) −15.5955 30.6080i −0.494910 0.971315i
\(994\) 2.82251 0.917091i 0.0895247 0.0290883i
\(995\) 33.7661 + 34.3518i 1.07046 + 1.08903i
\(996\) −2.90158 3.99369i −0.0919402 0.126545i
\(997\) −19.1694 9.76731i −0.607102 0.309334i 0.123281 0.992372i \(-0.460658\pi\)
−0.730383 + 0.683038i \(0.760658\pi\)
\(998\) −24.2401 + 12.3510i −0.767308 + 0.390963i
\(999\) −5.45733 + 7.51137i −0.172662 + 0.237649i
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 165.2.w.a.7.5 96
3.2 odd 2 495.2.bj.c.172.8 96
5.2 odd 4 825.2.cw.b.568.5 96
5.3 odd 4 inner 165.2.w.a.73.8 yes 96
5.4 even 2 825.2.cw.b.7.8 96
11.8 odd 10 inner 165.2.w.a.52.8 yes 96
15.8 even 4 495.2.bj.c.73.5 96
33.8 even 10 495.2.bj.c.217.5 96
55.8 even 20 inner 165.2.w.a.118.5 yes 96
55.19 odd 10 825.2.cw.b.382.5 96
55.52 even 20 825.2.cw.b.118.8 96
165.8 odd 20 495.2.bj.c.118.8 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
165.2.w.a.7.5 96 1.1 even 1 trivial
165.2.w.a.52.8 yes 96 11.8 odd 10 inner
165.2.w.a.73.8 yes 96 5.3 odd 4 inner
165.2.w.a.118.5 yes 96 55.8 even 20 inner
495.2.bj.c.73.5 96 15.8 even 4
495.2.bj.c.118.8 96 165.8 odd 20
495.2.bj.c.172.8 96 3.2 odd 2
495.2.bj.c.217.5 96 33.8 even 10
825.2.cw.b.7.8 96 5.4 even 2
825.2.cw.b.118.8 96 55.52 even 20
825.2.cw.b.382.5 96 55.19 odd 10
825.2.cw.b.568.5 96 5.2 odd 4