Properties

Label 722.2.k.a.139.8
Level $722$
Weight $2$
Character 722.139
Analytic conductor $5.765$
Analytic rank $0$
Dimension $1620$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [722,2,Mod(5,722)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(722, base_ring=CyclotomicField(342))
 
chi = DirichletCharacter(H, H._module([232]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("722.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 722 = 2 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 722.k (of order \(171\), degree \(108\), 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: \(5.76519902594\)
Analytic rank: \(0\)
Dimension: \(1620\)
Relative dimension: \(15\) over \(\Q(\zeta_{171})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{171}]$

Embedding invariants

Embedding label 139.8
Character \(\chi\) \(=\) 722.139
Dual form 722.2.k.a.187.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.991742 + 0.128249i) q^{2} +(-0.118857 + 0.174823i) q^{3} +(0.967104 + 0.254380i) q^{4} +(-0.00112835 - 0.122831i) q^{5} +(-0.140296 + 0.158136i) q^{6} +(-3.18946 - 1.50514i) q^{7} +(0.926494 + 0.376309i) q^{8} +(1.08691 + 2.74818i) q^{9} +O(q^{10})\) \(q+(0.991742 + 0.128249i) q^{2} +(-0.118857 + 0.174823i) q^{3} +(0.967104 + 0.254380i) q^{4} +(-0.00112835 - 0.122831i) q^{5} +(-0.140296 + 0.158136i) q^{6} +(-3.18946 - 1.50514i) q^{7} +(0.926494 + 0.376309i) q^{8} +(1.08691 + 2.74818i) q^{9} +(0.0146339 - 0.121961i) q^{10} +(3.42643 + 2.10622i) q^{11} +(-0.159418 + 0.138838i) q^{12} +(0.357189 + 3.52289i) q^{13} +(-2.97009 - 1.90176i) q^{14} +(0.0216078 + 0.0144020i) q^{15} +(0.870582 + 0.492024i) q^{16} +(1.50569 + 1.51958i) q^{17} +(0.725486 + 2.86488i) q^{18} +(4.33383 + 0.466860i) q^{19} +(0.0301545 - 0.119077i) q^{20} +(0.642222 - 0.378695i) q^{21} +(3.12801 + 2.52826i) q^{22} +(-0.704656 + 0.0518768i) q^{23} +(-0.175908 + 0.117246i) q^{24} +(4.98407 - 0.0915771i) q^{25} +(-0.0975687 + 3.53961i) q^{26} +(-1.22848 - 0.275310i) q^{27} +(-2.70166 - 2.26696i) q^{28} +(3.28180 - 4.64138i) q^{29} +(0.0195823 + 0.0170543i) q^{30} +(0.766208 + 2.44970i) q^{31} +(0.800291 + 0.599612i) q^{32} +(-0.775470 + 0.348681i) q^{33} +(1.29837 + 1.70014i) q^{34} +(-0.181279 + 0.393462i) q^{35} +(0.352077 + 2.93426i) q^{36} +(1.88405 - 1.01960i) q^{37} +(4.23816 + 1.01881i) q^{38} +(-0.658338 - 0.356275i) q^{39} +(0.0451770 - 0.114227i) q^{40} +(-0.951091 + 0.995809i) q^{41} +(0.685486 - 0.293204i) q^{42} +(-8.50721 - 3.63880i) q^{43} +(2.77793 + 2.90855i) q^{44} +(0.336335 - 0.136607i) q^{45} +(-0.705490 - 0.0389230i) q^{46} +(-3.95517 - 0.810366i) q^{47} +(-0.189492 + 0.0937177i) q^{48} +(3.45712 + 4.19775i) q^{49} +(4.95466 + 0.548381i) q^{50} +(-0.444620 + 0.0826167i) q^{51} +(-0.550714 + 3.49787i) q^{52} +(-2.18930 - 6.57323i) q^{53} +(-1.18303 - 0.430588i) q^{54} +(0.254842 - 0.423247i) q^{55} +(-2.38861 - 2.59473i) q^{56} +(-0.596722 + 0.702164i) q^{57} +(3.84996 - 4.18217i) q^{58} +(0.822326 + 2.80926i) q^{59} +(0.0172334 + 0.0194248i) q^{60} +(-9.21705 + 8.32978i) q^{61} +(0.445708 + 2.52774i) q^{62} +(0.669734 - 10.4011i) q^{63} +(0.716783 + 0.697297i) q^{64} +(0.432317 - 0.0478488i) q^{65} +(-0.813784 + 0.246349i) q^{66} +(-7.61455 - 0.279913i) q^{67} +(1.06961 + 1.85261i) q^{68} +(0.0746838 - 0.129356i) q^{69} +(-0.230243 + 0.366964i) q^{70} +(-8.88762 - 8.03206i) q^{71} +(-0.0271469 + 2.95519i) q^{72} +(-1.81199 + 6.64028i) q^{73} +(1.99926 - 0.769550i) q^{74} +(-0.576381 + 0.882216i) q^{75} +(4.07250 + 1.55394i) q^{76} +(-7.75829 - 11.8749i) q^{77} +(-0.607210 - 0.437764i) q^{78} +(3.11906 - 2.33693i) q^{79} +(0.0594534 - 0.107489i) q^{80} +(-6.27330 + 5.88235i) q^{81} +(-1.07095 + 0.865609i) q^{82} +(3.77076 - 10.0713i) q^{83} +(0.717428 - 0.202869i) q^{84} +(0.184953 - 0.186660i) q^{85} +(-7.97028 - 4.69979i) q^{86} +(0.421357 + 1.12540i) q^{87} +(2.38197 + 3.24079i) q^{88} +(3.32199 + 12.1739i) q^{89} +(0.351077 - 0.0923446i) q^{90} +(4.16321 - 11.7737i) q^{91} +(-0.694672 - 0.129080i) q^{92} +(-0.519334 - 0.157213i) q^{93} +(-3.81858 - 1.31092i) q^{94} +(0.0524547 - 0.532854i) q^{95} +(-0.199946 + 0.0686416i) q^{96} +(5.73908 - 0.210971i) q^{97} +(2.89021 + 4.60645i) q^{98} +(-2.06403 + 11.7057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1620 q - 3 q^{7} - 45 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 1620 q - 3 q^{7} - 45 q^{8} - 3 q^{11} - 57 q^{17} + 90 q^{18} + 6 q^{20} - 57 q^{22} + 57 q^{23} + 180 q^{27} - 114 q^{33} - 18 q^{37} + 57 q^{38} + 18 q^{39} - 114 q^{43} - 15 q^{45} + 3 q^{46} - 456 q^{47} + 30 q^{49} - 42 q^{50} + 228 q^{53} - 6 q^{56} + 12 q^{58} + 45 q^{64} + 12 q^{65} + 111 q^{68} - 213 q^{69} - 228 q^{70} - 57 q^{74} + 204 q^{75} + 69 q^{77} - 456 q^{81} + 213 q^{83} + 9 q^{84} - 21 q^{87} + 3 q^{88} - 57 q^{91} - 570 q^{93} - 24 q^{94} - 228 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).

\(n\) \(363\)
\(\chi(n)\) \(e\left(\frac{7}{171}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.991742 + 0.128249i 0.701267 + 0.0906857i
\(3\) −0.118857 + 0.174823i −0.0686220 + 0.100934i −0.859747 0.510720i \(-0.829379\pi\)
0.791125 + 0.611655i \(0.209496\pi\)
\(4\) 0.967104 + 0.254380i 0.483552 + 0.127190i
\(5\) −0.00112835 0.122831i −0.000504613 0.0549316i −0.999833 0.0182835i \(-0.994180\pi\)
0.999328 0.0366482i \(-0.0116681\pi\)
\(6\) −0.140296 + 0.158136i −0.0572757 + 0.0645589i
\(7\) −3.18946 1.50514i −1.20550 0.568890i −0.284585 0.958651i \(-0.591856\pi\)
−0.920916 + 0.389761i \(0.872558\pi\)
\(8\) 0.926494 + 0.376309i 0.327565 + 0.133045i
\(9\) 1.08691 + 2.74818i 0.362304 + 0.916059i
\(10\) 0.0146339 0.121961i 0.00462765 0.0385675i
\(11\) 3.42643 + 2.10622i 1.03311 + 0.635048i 0.932981 0.359927i \(-0.117198\pi\)
0.100126 + 0.994975i \(0.468075\pi\)
\(12\) −0.159418 + 0.138838i −0.0460201 + 0.0400790i
\(13\) 0.357189 + 3.52289i 0.0990663 + 0.977075i 0.916226 + 0.400663i \(0.131220\pi\)
−0.817159 + 0.576412i \(0.804452\pi\)
\(14\) −2.97009 1.90176i −0.793789 0.508266i
\(15\) 0.0216078 + 0.0144020i 0.00557911 + 0.00371859i
\(16\) 0.870582 + 0.492024i 0.217645 + 0.123006i
\(17\) 1.50569 + 1.51958i 0.365183 + 0.368553i 0.868620 0.495479i \(-0.165007\pi\)
−0.503437 + 0.864032i \(0.667931\pi\)
\(18\) 0.725486 + 2.86488i 0.170999 + 0.675258i
\(19\) 4.33383 + 0.466860i 0.994248 + 0.107105i
\(20\) 0.0301545 0.119077i 0.00674274 0.0266265i
\(21\) 0.642222 0.378695i 0.140144 0.0826381i
\(22\) 3.12801 + 2.52826i 0.666894 + 0.539027i
\(23\) −0.704656 + 0.0518768i −0.146931 + 0.0108171i −0.146687 0.989183i \(-0.546861\pi\)
−0.000243507 1.00000i \(0.500078\pi\)
\(24\) −0.175908 + 0.117246i −0.0359070 + 0.0239327i
\(25\) 4.98407 0.0915771i 0.996814 0.0183154i
\(26\) −0.0975687 + 3.53961i −0.0191348 + 0.694175i
\(27\) −1.22848 0.275310i −0.236422 0.0529834i
\(28\) −2.70166 2.26696i −0.510566 0.428416i
\(29\) 3.28180 4.64138i 0.609416 0.861883i −0.388817 0.921315i \(-0.627116\pi\)
0.998232 + 0.0594320i \(0.0189289\pi\)
\(30\) 0.0195823 + 0.0170543i 0.00357523 + 0.00311367i
\(31\) 0.766208 + 2.44970i 0.137615 + 0.439980i 0.997513 0.0704868i \(-0.0224553\pi\)
−0.859898 + 0.510466i \(0.829473\pi\)
\(32\) 0.800291 + 0.599612i 0.141473 + 0.105997i
\(33\) −0.775470 + 0.348681i −0.134992 + 0.0606976i
\(34\) 1.29837 + 1.70014i 0.222669 + 0.291571i
\(35\) −0.181279 + 0.393462i −0.0306417 + 0.0665072i
\(36\) 0.352077 + 2.93426i 0.0586795 + 0.489044i
\(37\) 1.88405 1.01960i 0.309736 0.167621i −0.313642 0.949541i \(-0.601549\pi\)
0.623378 + 0.781920i \(0.285760\pi\)
\(38\) 4.23816 + 1.01881i 0.687521 + 0.165273i
\(39\) −0.658338 0.356275i −0.105418 0.0570496i
\(40\) 0.0451770 0.114227i 0.00714311 0.0180608i
\(41\) −0.951091 + 0.995809i −0.148535 + 0.155519i −0.793232 0.608919i \(-0.791603\pi\)
0.644697 + 0.764438i \(0.276984\pi\)
\(42\) 0.685486 0.293204i 0.105773 0.0452423i
\(43\) −8.50721 3.63880i −1.29734 0.554911i −0.369963 0.929047i \(-0.620630\pi\)
−0.927374 + 0.374135i \(0.877940\pi\)
\(44\) 2.77793 + 2.90855i 0.418789 + 0.438480i
\(45\) 0.336335 0.136607i 0.0501378 0.0203642i
\(46\) −0.705490 0.0389230i −0.104019 0.00573888i
\(47\) −3.95517 0.810366i −0.576921 0.118204i −0.0966412 0.995319i \(-0.530810\pi\)
−0.480280 + 0.877115i \(0.659465\pi\)
\(48\) −0.189492 + 0.0937177i −0.0273508 + 0.0135270i
\(49\) 3.45712 + 4.19775i 0.493874 + 0.599678i
\(50\) 4.95466 + 0.548381i 0.700694 + 0.0775528i
\(51\) −0.444620 + 0.0826167i −0.0622593 + 0.0115687i
\(52\) −0.550714 + 3.49787i −0.0763704 + 0.485067i
\(53\) −2.18930 6.57323i −0.300724 0.902902i −0.984830 0.173520i \(-0.944486\pi\)
0.684106 0.729382i \(-0.260192\pi\)
\(54\) −1.18303 0.430588i −0.160990 0.0585956i
\(55\) 0.254842 0.423247i 0.0343629 0.0570707i
\(56\) −2.38861 2.59473i −0.319192 0.346735i
\(57\) −0.596722 + 0.702164i −0.0790378 + 0.0930039i
\(58\) 3.84996 4.18217i 0.505524 0.549145i
\(59\) 0.822326 + 2.80926i 0.107058 + 0.365735i 0.995674 0.0929170i \(-0.0296191\pi\)
−0.888616 + 0.458652i \(0.848333\pi\)
\(60\) 0.0172334 + 0.0194248i 0.00222483 + 0.00250774i
\(61\) −9.21705 + 8.32978i −1.18012 + 1.06652i −0.183616 + 0.982998i \(0.558780\pi\)
−0.996506 + 0.0835207i \(0.973384\pi\)
\(62\) 0.445708 + 2.52774i 0.0566050 + 0.321023i
\(63\) 0.669734 10.4011i 0.0843785 1.31042i
\(64\) 0.716783 + 0.697297i 0.0895978 + 0.0871621i
\(65\) 0.432317 0.0478488i 0.0536223 0.00593492i
\(66\) −0.813784 + 0.246349i −0.100170 + 0.0303234i
\(67\) −7.61455 0.279913i −0.930265 0.0341968i −0.432619 0.901577i \(-0.642410\pi\)
−0.497646 + 0.867380i \(0.665802\pi\)
\(68\) 1.06961 + 1.85261i 0.129709 + 0.224662i
\(69\) 0.0746838 0.129356i 0.00899088 0.0155727i
\(70\) −0.230243 + 0.366964i −0.0275193 + 0.0438606i
\(71\) −8.88762 8.03206i −1.05477 0.953230i −0.0557885 0.998443i \(-0.517767\pi\)
−0.998977 + 0.0452124i \(0.985604\pi\)
\(72\) −0.0271469 + 2.95519i −0.00319930 + 0.348272i
\(73\) −1.81199 + 6.64028i −0.212077 + 0.777187i 0.776964 + 0.629545i \(0.216759\pi\)
−0.989041 + 0.147641i \(0.952832\pi\)
\(74\) 1.99926 0.769550i 0.232409 0.0894584i
\(75\) −0.576381 + 0.882216i −0.0665547 + 0.101870i
\(76\) 4.07250 + 1.55394i 0.467148 + 0.178249i
\(77\) −7.75829 11.8749i −0.884139 1.35328i
\(78\) −0.607210 0.437764i −0.0687530 0.0495670i
\(79\) 3.11906 2.33693i 0.350921 0.262925i −0.409562 0.912282i \(-0.634319\pi\)
0.760484 + 0.649357i \(0.224962\pi\)
\(80\) 0.0594534 0.107489i 0.00664709 0.0120177i
\(81\) −6.27330 + 5.88235i −0.697033 + 0.653594i
\(82\) −1.07095 + 0.865609i −0.118266 + 0.0955906i
\(83\) 3.77076 10.0713i 0.413895 1.10546i −0.549055 0.835786i \(-0.685012\pi\)
0.962950 0.269678i \(-0.0869174\pi\)
\(84\) 0.717428 0.202869i 0.0782779 0.0221349i
\(85\) 0.184953 0.186660i 0.0200610 0.0202461i
\(86\) −7.97028 4.69979i −0.859458 0.506791i
\(87\) 0.421357 + 1.12540i 0.0451743 + 0.120655i
\(88\) 2.38197 + 3.24079i 0.253919 + 0.345470i
\(89\) 3.32199 + 12.1739i 0.352130 + 1.29043i 0.893279 + 0.449503i \(0.148399\pi\)
−0.541149 + 0.840927i \(0.682011\pi\)
\(90\) 0.351077 0.0923446i 0.0370068 0.00973398i
\(91\) 4.16321 11.7737i 0.436423 1.23422i
\(92\) −0.694672 0.129080i −0.0724246 0.0134575i
\(93\) −0.519334 0.157213i −0.0538524 0.0163022i
\(94\) −3.81858 1.31092i −0.393857 0.135211i
\(95\) 0.0524547 0.532854i 0.00538174 0.0546697i
\(96\) −0.199946 + 0.0686416i −0.0204069 + 0.00700570i
\(97\) 5.73908 0.210971i 0.582716 0.0214208i 0.256218 0.966619i \(-0.417523\pi\)
0.326497 + 0.945198i \(0.394132\pi\)
\(98\) 2.89021 + 4.60645i 0.291956 + 0.465322i
\(99\) −2.06403 + 11.7057i −0.207443 + 1.17647i
\(100\) 4.84341 + 1.17928i 0.484341 + 0.117928i
\(101\) 10.7800 + 1.59590i 1.07265 + 0.158798i 0.659379 0.751811i \(-0.270819\pi\)
0.413270 + 0.910608i \(0.364386\pi\)
\(102\) −0.451544 + 0.0249124i −0.0447095 + 0.00246669i
\(103\) 13.6784 6.45501i 1.34778 0.636031i 0.389276 0.921121i \(-0.372725\pi\)
0.958501 + 0.285090i \(0.0920236\pi\)
\(104\) −0.994765 + 3.39835i −0.0975447 + 0.333236i
\(105\) −0.0472401 0.0784574i −0.00461016 0.00765666i
\(106\) −1.32822 6.79972i −0.129008 0.660447i
\(107\) 2.76848 0.620432i 0.267639 0.0599794i −0.0827952 0.996567i \(-0.526385\pi\)
0.350435 + 0.936587i \(0.386034\pi\)
\(108\) −1.11804 0.578755i −0.107583 0.0556907i
\(109\) 2.74481 8.24110i 0.262905 0.789355i −0.731319 0.682035i \(-0.761095\pi\)
0.994225 0.107319i \(-0.0342267\pi\)
\(110\) 0.307019 0.387069i 0.0292731 0.0369056i
\(111\) −0.0456828 + 0.450562i −0.00433602 + 0.0427655i
\(112\) −2.03612 2.87964i −0.192395 0.272100i
\(113\) −0.0570918 + 0.688996i −0.00537075 + 0.0648153i −0.998743 0.0501280i \(-0.984037\pi\)
0.993372 + 0.114943i \(0.0366686\pi\)
\(114\) −0.681847 + 0.619837i −0.0638608 + 0.0580530i
\(115\) 0.00716718 + 0.0864950i 0.000668343 + 0.00806570i
\(116\) 4.35452 3.65388i 0.404307 0.339254i
\(117\) −9.29330 + 4.81069i −0.859166 + 0.444749i
\(118\) 0.455250 + 2.89153i 0.0419092 + 0.266186i
\(119\) −2.51514 7.11292i −0.230563 0.652041i
\(120\) 0.0145999 + 0.0214746i 0.00133278 + 0.00196035i
\(121\) 2.33738 + 4.61879i 0.212489 + 0.419890i
\(122\) −10.2092 + 7.07891i −0.924299 + 0.640895i
\(123\) −0.0610471 0.284632i −0.00550443 0.0256644i
\(124\) 0.117848 + 2.56403i 0.0105830 + 0.230256i
\(125\) −0.0337956 1.22604i −0.00302277 0.109660i
\(126\) 1.99814 10.2294i 0.178008 0.911304i
\(127\) −1.24381 + 0.452708i −0.110370 + 0.0401713i −0.396615 0.917985i \(-0.629815\pi\)
0.286245 + 0.958156i \(0.407593\pi\)
\(128\) 0.621436 + 0.783465i 0.0549277 + 0.0692492i
\(129\) 1.64729 1.05476i 0.145035 0.0928667i
\(130\) 0.434884 + 0.00799053i 0.0381418 + 0.000700816i
\(131\) −0.0267479 + 0.581957i −0.00233698 + 0.0508458i −0.999790 0.0204758i \(-0.993482\pi\)
0.997453 + 0.0713216i \(0.0227217\pi\)
\(132\) −0.838658 + 0.139947i −0.0729958 + 0.0121808i
\(133\) −13.1199 8.01205i −1.13764 0.694733i
\(134\) −7.51577 1.25416i −0.649264 0.108343i
\(135\) −0.0324304 + 0.151206i −0.00279116 + 0.0130138i
\(136\) 0.823178 + 1.97449i 0.0705870 + 0.169311i
\(137\) −4.34628 8.21052i −0.371328 0.701472i 0.625571 0.780167i \(-0.284866\pi\)
−0.996899 + 0.0786955i \(0.974925\pi\)
\(138\) 0.0906569 0.118710i 0.00771723 0.0101053i
\(139\) 2.95698 12.6490i 0.250808 1.07287i −0.687258 0.726414i \(-0.741186\pi\)
0.938066 0.346457i \(-0.112615\pi\)
\(140\) −0.275404 + 0.334405i −0.0232759 + 0.0282624i
\(141\) 0.611770 0.595139i 0.0515203 0.0501197i
\(142\) −7.78412 9.10556i −0.653229 0.764122i
\(143\) −6.19610 + 12.8233i −0.518144 + 1.07233i
\(144\) −0.405922 + 2.92730i −0.0338269 + 0.243942i
\(145\) −0.573808 0.397870i −0.0476522 0.0330413i
\(146\) −2.64863 + 6.35306i −0.219203 + 0.525783i
\(147\) −1.14477 + 0.105454i −0.0944187 + 0.00869773i
\(148\) 2.08144 0.506793i 0.171093 0.0416581i
\(149\) 0.241570 + 3.75166i 0.0197902 + 0.307348i 0.995925 + 0.0901829i \(0.0287452\pi\)
−0.976135 + 0.217165i \(0.930319\pi\)
\(150\) −0.684764 + 0.801011i −0.0559108 + 0.0654022i
\(151\) −9.00173 20.5219i −0.732551 1.67005i −0.742276 0.670094i \(-0.766254\pi\)
0.00972520 0.999953i \(-0.496904\pi\)
\(152\) 3.83958 + 2.06340i 0.311431 + 0.167364i
\(153\) −2.53954 + 5.78956i −0.205309 + 0.468058i
\(154\) −6.17127 12.7719i −0.497295 1.02919i
\(155\) 0.300035 0.0968781i 0.0240994 0.00778143i
\(156\) −0.546053 0.512023i −0.0437192 0.0409946i
\(157\) −7.37455 0.542915i −0.588553 0.0433294i −0.224124 0.974561i \(-0.571952\pi\)
−0.364429 + 0.931231i \(0.618736\pi\)
\(158\) 3.39301 1.91762i 0.269933 0.152557i
\(159\) 1.40937 + 0.398531i 0.111770 + 0.0316056i
\(160\) 0.0727478 0.0989770i 0.00575122 0.00782482i
\(161\) 2.32555 + 0.895147i 0.183279 + 0.0705475i
\(162\) −6.97590 + 5.02923i −0.548078 + 0.395134i
\(163\) 4.23257 13.5323i 0.331520 1.05993i −0.627982 0.778228i \(-0.716119\pi\)
0.959502 0.281701i \(-0.0908987\pi\)
\(164\) −1.17312 + 0.721113i −0.0916051 + 0.0563095i
\(165\) 0.0437038 + 0.0948582i 0.00340234 + 0.00738470i
\(166\) 5.03125 9.50449i 0.390501 0.737692i
\(167\) 0.328412 + 0.0302529i 0.0254133 + 0.00234104i 0.104429 0.994532i \(-0.466698\pi\)
−0.0790162 + 0.996873i \(0.525178\pi\)
\(168\) 0.737522 0.109185i 0.0569010 0.00842378i
\(169\) 0.452244 0.0926593i 0.0347880 0.00712764i
\(170\) 0.207365 0.161398i 0.0159041 0.0123787i
\(171\) 3.42748 + 12.4176i 0.262106 + 0.949594i
\(172\) −7.30172 5.68316i −0.556751 0.433337i
\(173\) −21.1773 10.4737i −1.61008 0.796302i −0.999992 0.00396701i \(-0.998737\pi\)
−0.610086 0.792335i \(-0.708865\pi\)
\(174\) 0.273547 + 1.17014i 0.0207375 + 0.0887081i
\(175\) −16.0343 7.20965i −1.21208 0.544998i
\(176\) 1.94668 + 3.51952i 0.146736 + 0.265294i
\(177\) −0.588863 0.190138i −0.0442617 0.0142916i
\(178\) 1.73326 + 12.4994i 0.129914 + 0.936869i
\(179\) −8.58865 + 16.9716i −0.641946 + 1.26852i 0.306588 + 0.951842i \(0.400813\pi\)
−0.948533 + 0.316677i \(0.897433\pi\)
\(180\) 0.360021 0.0465568i 0.0268344 0.00347014i
\(181\) 6.08362 0.786715i 0.452192 0.0584760i 0.101224 0.994864i \(-0.467724\pi\)
0.350968 + 0.936388i \(0.385853\pi\)
\(182\) 5.63880 11.1426i 0.417976 0.825943i
\(183\) −0.360731 2.60141i −0.0266660 0.192301i
\(184\) −0.672381 0.217105i −0.0495686 0.0160052i
\(185\) −0.127364 0.230269i −0.00936398 0.0169297i
\(186\) −0.494883 0.222519i −0.0362866 0.0163159i
\(187\) 1.95856 + 8.37805i 0.143224 + 0.612664i
\(188\) −3.61892 1.78982i −0.263937 0.130536i
\(189\) 3.50382 + 2.72713i 0.254865 + 0.198369i
\(190\) 0.120360 0.521727i 0.00873180 0.0378500i
\(191\) −0.474873 + 0.369609i −0.0343606 + 0.0267439i −0.631247 0.775582i \(-0.717457\pi\)
0.596887 + 0.802325i \(0.296404\pi\)
\(192\) −0.207098 + 0.0424319i −0.0149460 + 0.00306226i
\(193\) 16.1277 2.38759i 1.16090 0.171862i 0.461863 0.886951i \(-0.347181\pi\)
0.699034 + 0.715089i \(0.253614\pi\)
\(194\) 5.71875 + 0.526804i 0.410582 + 0.0378223i
\(195\) −0.0430187 + 0.0812663i −0.00308063 + 0.00581960i
\(196\) 2.27557 + 4.93908i 0.162541 + 0.352791i
\(197\) −5.39385 + 3.31558i −0.384296 + 0.236226i −0.702327 0.711855i \(-0.747855\pi\)
0.318031 + 0.948080i \(0.396978\pi\)
\(198\) −3.54823 + 11.3443i −0.252162 + 0.806206i
\(199\) 17.8057 12.8369i 1.26221 0.909986i 0.263708 0.964603i \(-0.415055\pi\)
0.998507 + 0.0546170i \(0.0173938\pi\)
\(200\) 4.65217 + 1.79071i 0.328958 + 0.126622i
\(201\) 0.953976 1.29793i 0.0672883 0.0915490i
\(202\) 10.4863 + 2.96524i 0.737814 + 0.208634i
\(203\) −17.4531 + 9.86391i −1.22497 + 0.692311i
\(204\) −0.451010 0.0332034i −0.0315770 0.00232470i
\(205\) 0.123389 + 0.115700i 0.00861788 + 0.00808082i
\(206\) 14.3933 4.64746i 1.00283 0.323804i
\(207\) −0.908466 1.88013i −0.0631427 0.130678i
\(208\) −1.42239 + 3.24271i −0.0986247 + 0.224842i
\(209\) 13.8662 + 10.7276i 0.959147 + 0.742046i
\(210\) −0.0367879 0.0838680i −0.00253861 0.00578744i
\(211\) 1.80383 2.11005i 0.124181 0.145262i −0.694539 0.719455i \(-0.744392\pi\)
0.818720 + 0.574193i \(0.194684\pi\)
\(212\) −0.445189 6.91391i −0.0305757 0.474849i
\(213\) 2.46054 0.599098i 0.168594 0.0410495i
\(214\) 2.82519 0.260253i 0.193126 0.0177905i
\(215\) −0.437357 + 1.04905i −0.0298275 + 0.0715448i
\(216\) −1.03458 0.717363i −0.0703943 0.0488103i
\(217\) 1.24336 8.96647i 0.0844048 0.608684i
\(218\) 3.77906 7.82103i 0.255950 0.529707i
\(219\) −0.945510 1.10602i −0.0638916 0.0747379i
\(220\) 0.354125 0.344498i 0.0238751 0.0232260i
\(221\) −4.81552 + 5.84716i −0.323927 + 0.393323i
\(222\) −0.103090 + 0.440983i −0.00691893 + 0.0295968i
\(223\) −1.93391 + 2.53234i −0.129504 + 0.169578i −0.854965 0.518685i \(-0.826422\pi\)
0.725461 + 0.688263i \(0.241626\pi\)
\(224\) −1.64999 3.11699i −0.110245 0.208262i
\(225\) 5.66892 + 13.5976i 0.377928 + 0.906505i
\(226\) −0.144983 + 0.675984i −0.00964415 + 0.0449658i
\(227\) 18.0387 + 3.01013i 1.19727 + 0.199790i 0.729451 0.684033i \(-0.239776\pi\)
0.467822 + 0.883823i \(0.345039\pi\)
\(228\) −0.755709 + 0.527272i −0.0500481 + 0.0349194i
\(229\) 3.26371 0.544617i 0.215672 0.0359893i −0.0557720 0.998444i \(-0.517762\pi\)
0.271444 + 0.962454i \(0.412499\pi\)
\(230\) −0.00398490 + 0.0866999i −0.000262757 + 0.00571682i
\(231\) 2.99814 + 0.0550877i 0.197263 + 0.00362451i
\(232\) 4.78717 3.06524i 0.314293 0.201243i
\(233\) −5.29034 6.66971i −0.346582 0.436947i 0.579097 0.815259i \(-0.303405\pi\)
−0.925678 + 0.378311i \(0.876505\pi\)
\(234\) −9.83352 + 3.57911i −0.642838 + 0.233974i
\(235\) −0.0950751 + 0.486732i −0.00620202 + 0.0317509i
\(236\) 0.0806555 + 2.92603i 0.00525023 + 0.190468i
\(237\) 0.0378288 + 0.823044i 0.00245724 + 0.0534624i
\(238\) −1.58215 7.37675i −0.102555 0.478164i
\(239\) −3.56320 + 2.47067i −0.230484 + 0.159814i −0.679419 0.733750i \(-0.737768\pi\)
0.448935 + 0.893564i \(0.351803\pi\)
\(240\) 0.0117252 + 0.0231697i 0.000756861 + 0.00149560i
\(241\) −8.50652 12.5120i −0.547953 0.805970i 0.448169 0.893949i \(-0.352076\pi\)
−0.996122 + 0.0879787i \(0.971959\pi\)
\(242\) 1.72572 + 4.88042i 0.110934 + 0.313725i
\(243\) −0.870153 5.52678i −0.0558203 0.354543i
\(244\) −11.0328 + 5.71113i −0.706301 + 0.365618i
\(245\) 0.511712 0.429377i 0.0326921 0.0274319i
\(246\) −0.0240392 0.290110i −0.00153269 0.0184968i
\(247\) −0.0967042 + 15.4344i −0.00615314 + 0.982065i
\(248\) −0.211959 + 2.55797i −0.0134594 + 0.162431i
\(249\) 1.31251 + 1.85625i 0.0831770 + 0.117635i
\(250\) 0.123722 1.22025i 0.00782487 0.0771754i
\(251\) −0.126031 + 0.158892i −0.00795503 + 0.0100292i −0.787427 0.616408i \(-0.788587\pi\)
0.779472 + 0.626438i \(0.215488\pi\)
\(252\) 3.29355 9.88863i 0.207474 0.622925i
\(253\) −2.52372 1.30641i −0.158665 0.0821330i
\(254\) −1.29159 + 0.289453i −0.0810418 + 0.0181619i
\(255\) 0.0106496 + 0.0545199i 0.000666902 + 0.00341417i
\(256\) 0.515825 + 0.856694i 0.0322391 + 0.0535434i
\(257\) −7.83066 + 26.7514i −0.488463 + 1.66871i 0.230039 + 0.973181i \(0.426115\pi\)
−0.718502 + 0.695525i \(0.755172\pi\)
\(258\) 1.76895 0.834790i 0.110130 0.0519717i
\(259\) −7.54374 + 0.416200i −0.468745 + 0.0258614i
\(260\) 0.430267 + 0.0636979i 0.0266841 + 0.00395038i
\(261\) 16.3224 + 3.97420i 1.01033 + 0.245997i
\(262\) −0.101162 + 0.573721i −0.00624984 + 0.0354446i
\(263\) −2.01674 3.21431i −0.124358 0.198203i 0.779077 0.626928i \(-0.215688\pi\)
−0.903435 + 0.428725i \(0.858963\pi\)
\(264\) −0.849680 + 0.0312345i −0.0522942 + 0.00192235i
\(265\) −0.804925 + 0.276331i −0.0494461 + 0.0169749i
\(266\) −11.9840 9.62849i −0.734785 0.590361i
\(267\) −2.52312 0.866188i −0.154412 0.0530099i
\(268\) −7.29286 2.20769i −0.445482 0.134856i
\(269\) 26.8749 + 4.99375i 1.63859 + 0.304474i 0.920285 0.391249i \(-0.127957\pi\)
0.718310 + 0.695723i \(0.244916\pi\)
\(270\) −0.0515546 + 0.145799i −0.00313751 + 0.00887302i
\(271\) 18.3411 4.82430i 1.11414 0.293055i 0.349131 0.937074i \(-0.386477\pi\)
0.765010 + 0.644019i \(0.222734\pi\)
\(272\) 0.563154 + 2.06376i 0.0341462 + 0.125134i
\(273\) 1.56350 + 2.12721i 0.0946272 + 0.128745i
\(274\) −3.25740 8.70012i −0.196787 0.525593i
\(275\) 17.2704 + 10.1837i 1.04145 + 0.614103i
\(276\) 0.105133 0.106103i 0.00632824 0.00638664i
\(277\) −14.6845 + 4.15238i −0.882305 + 0.249492i −0.682976 0.730441i \(-0.739315\pi\)
−0.199329 + 0.979933i \(0.563876\pi\)
\(278\) 4.55478 12.1653i 0.273178 0.729625i
\(279\) −5.89942 + 4.76829i −0.353189 + 0.285470i
\(280\) −0.316017 + 0.296323i −0.0188856 + 0.0177087i
\(281\) 1.36728 2.47199i 0.0815651 0.147467i −0.831170 0.556018i \(-0.812329\pi\)
0.912735 + 0.408551i \(0.133966\pi\)
\(282\) 0.683044 0.511765i 0.0406747 0.0304752i
\(283\) −13.4926 9.72739i −0.802051 0.578233i 0.107318 0.994225i \(-0.465774\pi\)
−0.909368 + 0.415992i \(0.863435\pi\)
\(284\) −6.55206 10.0287i −0.388793 0.595092i
\(285\) 0.0869208 + 0.0725037i 0.00514874 + 0.00429475i
\(286\) −7.78950 + 11.9227i −0.460603 + 0.705005i
\(287\) 4.53230 1.74456i 0.267533 0.102978i
\(288\) −0.777994 + 2.85107i −0.0458437 + 0.168001i
\(289\) 0.114122 12.4232i 0.00671308 0.730779i
\(290\) −0.518043 0.468174i −0.0304205 0.0274921i
\(291\) −0.645246 + 1.02840i −0.0378250 + 0.0602859i
\(292\) −3.44154 + 5.96092i −0.201401 + 0.348836i
\(293\) 3.69390 + 6.39802i 0.215800 + 0.373776i 0.953520 0.301331i \(-0.0974308\pi\)
−0.737720 + 0.675107i \(0.764097\pi\)
\(294\) −1.14884 0.0422316i −0.0670015 0.00246300i
\(295\) 0.344136 0.104177i 0.0200364 0.00606541i
\(296\) 2.12925 0.235665i 0.123760 0.0136977i
\(297\) −3.62945 3.53078i −0.210602 0.204877i
\(298\) −0.241570 + 3.75166i −0.0139938 + 0.217328i
\(299\) −0.434452 2.46390i −0.0251250 0.142491i
\(300\) −0.781838 + 0.706576i −0.0451395 + 0.0407942i
\(301\) 21.6565 + 24.4103i 1.24826 + 1.40699i
\(302\) −6.29549 21.5069i −0.362264 1.23758i
\(303\) −1.56028 + 1.69491i −0.0896355 + 0.0973701i
\(304\) 3.54324 + 2.53878i 0.203219 + 0.145609i
\(305\) 1.03355 + 1.12274i 0.0591811 + 0.0642878i
\(306\) −3.26107 + 5.41605i −0.186423 + 0.309615i
\(307\) 20.2239 + 7.36090i 1.15424 + 0.420109i 0.847036 0.531535i \(-0.178385\pi\)
0.307203 + 0.951644i \(0.400607\pi\)
\(308\) −4.48233 13.4579i −0.255404 0.766833i
\(309\) −0.497288 + 3.15853i −0.0282898 + 0.179683i
\(310\) 0.309981 0.0575989i 0.0176058 0.00327140i
\(311\) −24.4595 2.70717i −1.38697 0.153510i −0.614678 0.788778i \(-0.710714\pi\)
−0.772292 + 0.635268i \(0.780890\pi\)
\(312\) −0.475877 0.577825i −0.0269412 0.0327129i
\(313\) −2.59572 + 1.28378i −0.146719 + 0.0725633i −0.515191 0.857076i \(-0.672279\pi\)
0.368472 + 0.929639i \(0.379881\pi\)
\(314\) −7.24402 1.48421i −0.408804 0.0837589i
\(315\) −1.27834 0.0705279i −0.0720262 0.00397379i
\(316\) 3.61092 1.46663i 0.203130 0.0825044i
\(317\) 0.955913 + 1.00086i 0.0536894 + 0.0562138i 0.749456 0.662054i \(-0.230315\pi\)
−0.695766 + 0.718268i \(0.744935\pi\)
\(318\) 1.34662 + 0.575990i 0.0755146 + 0.0322999i
\(319\) 21.0206 8.99117i 1.17693 0.503409i
\(320\) 0.0848408 0.0888298i 0.00474274 0.00496574i
\(321\) −0.220587 + 0.557738i −0.0123120 + 0.0311299i
\(322\) 2.19155 + 1.18600i 0.122130 + 0.0660935i
\(323\) 5.81596 + 7.28856i 0.323609 + 0.405546i
\(324\) −7.56329 + 4.09305i −0.420183 + 0.227391i
\(325\) 2.10287 + 17.5256i 0.116646 + 0.972147i
\(326\) 5.93312 12.8777i 0.328605 0.713230i
\(327\) 1.11450 + 1.45937i 0.0616318 + 0.0807033i
\(328\) −1.25591 + 0.564707i −0.0693462 + 0.0311807i
\(329\) 11.3951 + 8.53772i 0.628234 + 0.470700i
\(330\) 0.0311774 + 0.0996798i 0.00171626 + 0.00548719i
\(331\) −6.71532 5.84838i −0.369108 0.321456i 0.452227 0.891903i \(-0.350630\pi\)
−0.821335 + 0.570447i \(0.806770\pi\)
\(332\) 6.20865 8.78075i 0.340744 0.481906i
\(333\) 4.84983 + 4.06949i 0.265769 + 0.223007i
\(334\) 0.321820 + 0.0721216i 0.0176092 + 0.00394632i
\(335\) −0.0257901 + 0.935617i −0.00140906 + 0.0511182i
\(336\) 0.745434 0.0136966i 0.0406668 0.000747209i
\(337\) 2.64595 1.76357i 0.144134 0.0960680i −0.480464 0.877014i \(-0.659532\pi\)
0.624598 + 0.780946i \(0.285263\pi\)
\(338\) 0.460393 0.0338942i 0.0250421 0.00184360i
\(339\) −0.113667 0.0918728i −0.00617353 0.00498984i
\(340\) 0.226351 0.133471i 0.0122756 0.00723849i
\(341\) −2.53425 + 10.0075i −0.137237 + 0.541938i
\(342\) 1.80663 + 12.7546i 0.0976915 + 0.689689i
\(343\) 1.35226 + 5.33996i 0.0730152 + 0.288331i
\(344\) −6.51256 6.57266i −0.351134 0.354374i
\(345\) −0.0159732 0.00902752i −0.000859968 0.000486025i
\(346\) −19.6591 13.1032i −1.05688 0.704432i
\(347\) 7.80569 + 4.99801i 0.419031 + 0.268307i 0.731796 0.681523i \(-0.238682\pi\)
−0.312765 + 0.949830i \(0.601255\pi\)
\(348\) 0.121219 + 1.19556i 0.00649800 + 0.0640887i
\(349\) −19.3570 + 16.8580i −1.03616 + 0.902388i −0.995306 0.0967771i \(-0.969147\pi\)
−0.0408490 + 0.999165i \(0.513006\pi\)
\(350\) −14.9773 9.20649i −0.800569 0.492108i
\(351\) 0.531086 4.42615i 0.0283473 0.236251i
\(352\) 1.47923 + 3.74011i 0.0788430 + 0.199349i
\(353\) −23.2431 9.44052i −1.23710 0.502468i −0.338391 0.941006i \(-0.609883\pi\)
−0.898713 + 0.438538i \(0.855497\pi\)
\(354\) −0.559616 0.264089i −0.0297432 0.0140362i
\(355\) −0.976557 + 1.10074i −0.0518302 + 0.0584210i
\(356\) 0.115916 + 12.6185i 0.00614352 + 0.668777i
\(357\) 1.54245 + 0.405714i 0.0816349 + 0.0214726i
\(358\) −10.6943 + 15.7300i −0.565212 + 0.831356i
\(359\) −20.6882 2.67533i −1.09188 0.141198i −0.438871 0.898550i \(-0.644622\pi\)
−0.653007 + 0.757351i \(0.726493\pi\)
\(360\) 0.363019 0.0191328
\(361\) 18.5641 + 4.04658i 0.977057 + 0.212978i
\(362\) 6.13427 0.322410
\(363\) −1.08529 0.140346i −0.0569628 0.00736625i
\(364\) 7.02126 10.3274i 0.368014 0.541302i
\(365\) 0.817676 + 0.215075i 0.0427991 + 0.0112576i
\(366\) −0.0241247 2.62619i −0.00126102 0.137273i
\(367\) 0.776473 0.875210i 0.0405315 0.0456856i −0.727427 0.686185i \(-0.759284\pi\)
0.767959 + 0.640499i \(0.221272\pi\)
\(368\) −0.638985 0.301544i −0.0333094 0.0157191i
\(369\) −3.77041 1.53141i −0.196280 0.0797220i
\(370\) −0.0967804 0.244702i −0.00503137 0.0127214i
\(371\) −2.91094 + 24.2602i −0.151129 + 1.25953i
\(372\) −0.462259 0.284149i −0.0239670 0.0147325i
\(373\) 19.8968 17.3281i 1.03022 0.897216i 0.0354476 0.999372i \(-0.488714\pi\)
0.994768 + 0.102156i \(0.0325740\pi\)
\(374\) 0.867909 + 8.56005i 0.0448785 + 0.442630i
\(375\) 0.218357 + 0.139815i 0.0112759 + 0.00722002i
\(376\) −3.35949 2.23917i −0.173253 0.115476i
\(377\) 17.5233 + 9.90359i 0.902497 + 0.510061i
\(378\) 3.12513 + 3.15397i 0.160739 + 0.162223i
\(379\) −9.09281 35.9067i −0.467066 1.84440i −0.532334 0.846534i \(-0.678685\pi\)
0.0652681 0.997868i \(-0.479210\pi\)
\(380\) 0.186277 0.501982i 0.00955579 0.0257511i
\(381\) 0.0686907 0.271254i 0.00351913 0.0138967i
\(382\) −0.518354 + 0.305654i −0.0265213 + 0.0156386i
\(383\) −18.2370 14.7403i −0.931865 0.753193i 0.0373776 0.999301i \(-0.488100\pi\)
−0.969242 + 0.246108i \(0.920848\pi\)
\(384\) −0.210830 + 0.0155213i −0.0107589 + 0.000792069i
\(385\) −1.44986 + 0.966356i −0.0738915 + 0.0492501i
\(386\) 16.3007 0.299509i 0.829685 0.0152446i
\(387\) 0.753466 27.3344i 0.0383009 1.38948i
\(388\) 5.60396 + 1.25588i 0.284498 + 0.0637575i
\(389\) 23.4702 + 19.6938i 1.18999 + 0.998516i 0.999860 + 0.0167568i \(0.00533411\pi\)
0.190126 + 0.981760i \(0.439110\pi\)
\(390\) −0.0530858 + 0.0750781i −0.00268810 + 0.00380173i
\(391\) −1.13982 0.992674i −0.0576434 0.0502017i
\(392\) 1.62335 + 5.19013i 0.0819915 + 0.262141i
\(393\) −0.0985605 0.0738457i −0.00497172 0.00372502i
\(394\) −5.77452 + 2.59645i −0.290916 + 0.130807i
\(395\) −0.290566 0.380480i −0.0146200 0.0191440i
\(396\) −4.97383 + 10.7956i −0.249944 + 0.542499i
\(397\) 0.355931 + 2.96638i 0.0178637 + 0.148879i 0.999016 0.0443591i \(-0.0141246\pi\)
−0.981152 + 0.193238i \(0.938101\pi\)
\(398\) 19.3050 10.4474i 0.967673 0.523678i
\(399\) 2.96008 1.34137i 0.148189 0.0671526i
\(400\) 4.38410 + 2.37256i 0.219205 + 0.118628i
\(401\) 3.81160 9.63735i 0.190342 0.481267i −0.803067 0.595889i \(-0.796800\pi\)
0.993409 + 0.114623i \(0.0365659\pi\)
\(402\) 1.11256 1.16487i 0.0554893 0.0580983i
\(403\) −8.35636 + 3.57427i −0.416260 + 0.178047i
\(404\) 10.0194 + 4.28561i 0.498485 + 0.213217i
\(405\) 0.729613 + 0.763917i 0.0362547 + 0.0379594i
\(406\) −18.5740 + 7.54411i −0.921813 + 0.374408i
\(407\) 8.60306 + 0.474644i 0.426438 + 0.0235272i
\(408\) −0.443027 0.0907708i −0.0219331 0.00449383i
\(409\) −0.180402 + 0.0892221i −0.00892031 + 0.00441175i −0.447773 0.894147i \(-0.647783\pi\)
0.438853 + 0.898559i \(0.355385\pi\)
\(410\) 0.107532 + 0.130569i 0.00531063 + 0.00644834i
\(411\) 1.95197 + 0.216044i 0.0962838 + 0.0106567i
\(412\) 14.8705 2.76315i 0.732617 0.136131i
\(413\) 1.60556 10.1977i 0.0790045 0.501798i
\(414\) −0.659839 1.98112i −0.0324293 0.0973666i
\(415\) −1.24132 0.451802i −0.0609338 0.0221781i
\(416\) −1.82651 + 3.03351i −0.0895522 + 0.148730i
\(417\) 1.85988 + 2.02036i 0.0910785 + 0.0989377i
\(418\) 12.3759 + 12.4174i 0.605326 + 0.607354i
\(419\) −11.0465 + 11.9997i −0.539657 + 0.586224i −0.944643 0.328099i \(-0.893592\pi\)
0.404986 + 0.914323i \(0.367276\pi\)
\(420\) −0.0257281 0.0878934i −0.00125540 0.00428876i
\(421\) 25.8889 + 29.1810i 1.26175 + 1.42219i 0.863054 + 0.505111i \(0.168549\pi\)
0.398695 + 0.917083i \(0.369463\pi\)
\(422\) 2.05954 1.86129i 0.100257 0.0906059i
\(423\) −2.07190 11.7503i −0.100739 0.571320i
\(424\) 0.445189 6.91391i 0.0216203 0.335769i
\(425\) 7.64362 + 7.43583i 0.370770 + 0.360691i
\(426\) 2.51706 0.278588i 0.121952 0.0134976i
\(427\) 41.9349 12.6945i 2.02937 0.614331i
\(428\) 2.83524 + 0.104224i 0.137046 + 0.00503787i
\(429\) −1.50536 2.60735i −0.0726792 0.125884i
\(430\) −0.568286 + 0.984300i −0.0274052 + 0.0474671i
\(431\) −4.25902 + 6.78807i −0.205150 + 0.326970i −0.933722 0.357999i \(-0.883459\pi\)
0.728572 + 0.684969i \(0.240184\pi\)
\(432\) −0.934037 0.844123i −0.0449389 0.0406129i
\(433\) −0.266481 + 29.0088i −0.0128063 + 1.39408i 0.710572 + 0.703624i \(0.248436\pi\)
−0.723379 + 0.690452i \(0.757412\pi\)
\(434\) 2.38303 8.73297i 0.114389 0.419196i
\(435\) 0.137758 0.0530255i 0.00660498 0.00254238i
\(436\) 4.75089 7.27178i 0.227526 0.348255i
\(437\) −3.07807 0.104150i −0.147244 0.00498218i
\(438\) −0.795856 1.21815i −0.0380275 0.0582053i
\(439\) −9.24637 6.66611i −0.441305 0.318156i 0.342104 0.939662i \(-0.388860\pi\)
−0.783409 + 0.621506i \(0.786521\pi\)
\(440\) 0.395382 0.296237i 0.0188491 0.0141225i
\(441\) −7.77857 + 14.0634i −0.370408 + 0.669684i
\(442\) −5.52565 + 5.18129i −0.262828 + 0.246449i
\(443\) −5.47292 + 4.42357i −0.260027 + 0.210170i −0.749774 0.661694i \(-0.769838\pi\)
0.489747 + 0.871865i \(0.337089\pi\)
\(444\) −0.158794 + 0.424120i −0.00753603 + 0.0201278i
\(445\) 1.49158 0.421779i 0.0707077 0.0199942i
\(446\) −2.24271 + 2.26340i −0.106195 + 0.107175i
\(447\) −0.684589 0.403677i −0.0323800 0.0190933i
\(448\) −1.23662 3.30286i −0.0584247 0.156045i
\(449\) −16.6868 22.7032i −0.787499 1.07143i −0.995635 0.0933308i \(-0.970249\pi\)
0.208136 0.978100i \(-0.433260\pi\)
\(450\) 3.87823 + 14.2123i 0.182821 + 0.669975i
\(451\) −5.35623 + 1.40886i −0.252215 + 0.0663408i
\(452\) −0.230480 + 0.651808i −0.0108409 + 0.0306585i
\(453\) 4.65762 + 0.865452i 0.218834 + 0.0406625i
\(454\) 17.5037 + 5.29872i 0.821490 + 0.248681i
\(455\) −1.45088 0.498086i −0.0680181 0.0233506i
\(456\) −0.817091 + 0.425999i −0.0382638 + 0.0199492i
\(457\) 2.57691 0.884653i 0.120543 0.0413823i −0.263768 0.964586i \(-0.584965\pi\)
0.384311 + 0.923204i \(0.374439\pi\)
\(458\) 3.30660 0.121552i 0.154507 0.00567974i
\(459\) −1.43136 2.28132i −0.0668101 0.106483i
\(460\) −0.0150712 + 0.0854728i −0.000702697 + 0.00398519i
\(461\) −18.2928 4.45395i −0.851979 0.207441i −0.213369 0.976972i \(-0.568444\pi\)
−0.638610 + 0.769530i \(0.720490\pi\)
\(462\) 2.96632 + 0.439141i 0.138006 + 0.0204307i
\(463\) −15.2948 + 0.843839i −0.710811 + 0.0392165i −0.406885 0.913479i \(-0.633385\pi\)
−0.303925 + 0.952696i \(0.598297\pi\)
\(464\) 5.14075 2.42598i 0.238653 0.112623i
\(465\) −0.0187246 + 0.0639677i −0.000868332 + 0.00296643i
\(466\) −4.39127 7.29312i −0.203422 0.337847i
\(467\) 5.50452 + 28.1801i 0.254719 + 1.30402i 0.860934 + 0.508717i \(0.169880\pi\)
−0.606215 + 0.795301i \(0.707313\pi\)
\(468\) −10.2113 + 2.28841i −0.472019 + 0.105782i
\(469\) 23.8650 + 12.3537i 1.10198 + 0.570443i
\(470\) −0.156713 + 0.470519i −0.00722862 + 0.0217034i
\(471\) 0.971430 1.22471i 0.0447611 0.0564319i
\(472\) −0.295271 + 2.91221i −0.0135910 + 0.134045i
\(473\) −21.4852 30.3861i −0.987892 1.39715i
\(474\) −0.0680382 + 0.821099i −0.00312510 + 0.0377143i
\(475\) 21.6428 + 1.92998i 0.993042 + 0.0885537i
\(476\) −0.623021 7.51874i −0.0285561 0.344621i
\(477\) 15.6848 13.1611i 0.718158 0.602606i
\(478\) −3.85064 + 1.99329i −0.176124 + 0.0911709i
\(479\) 5.95258 + 37.8079i 0.271980 + 1.72748i 0.615323 + 0.788275i \(0.289025\pi\)
−0.343343 + 0.939210i \(0.611559\pi\)
\(480\) 0.00865692 + 0.0244821i 0.000395132 + 0.00111745i
\(481\) 4.26490 + 6.27312i 0.194462 + 0.286030i
\(482\) −6.83162 13.4996i −0.311172 0.614892i
\(483\) −0.432900 + 0.300166i −0.0196976 + 0.0136580i
\(484\) 1.08556 + 5.06144i 0.0493439 + 0.230065i
\(485\) −0.0323894 0.704699i −0.00147073 0.0319987i
\(486\) −0.154163 5.59274i −0.00699297 0.253692i
\(487\) 2.67143 13.6762i 0.121054 0.619729i −0.870725 0.491770i \(-0.836350\pi\)
0.991779 0.127960i \(-0.0408428\pi\)
\(488\) −11.6741 + 4.24903i −0.528462 + 0.192345i
\(489\) 1.86269 + 2.34835i 0.0842336 + 0.106196i
\(490\) 0.562554 0.360205i 0.0254136 0.0162724i
\(491\) −17.5583 0.322616i −0.792397 0.0145595i −0.379331 0.925261i \(-0.623846\pi\)
−0.413065 + 0.910701i \(0.635542\pi\)
\(492\) 0.0133657 0.290798i 0.000602570 0.0131102i
\(493\) 11.9944 2.00150i 0.540198 0.0901432i
\(494\) −2.07535 + 15.2945i −0.0933743 + 0.688132i
\(495\) 1.44015 + 0.240319i 0.0647299 + 0.0108015i
\(496\) −0.538265 + 2.50966i −0.0241688 + 0.112687i
\(497\) 16.2573 + 38.9950i 0.729239 + 1.74917i
\(498\) 1.06361 + 2.00925i 0.0476615 + 0.0900368i
\(499\) −21.0437 + 27.5555i −0.942047 + 1.23355i 0.0301873 + 0.999544i \(0.490390\pi\)
−0.972234 + 0.234010i \(0.924815\pi\)
\(500\) 0.279196 1.19431i 0.0124860 0.0534110i
\(501\) −0.0443229 + 0.0538183i −0.00198020 + 0.00240443i
\(502\) −0.145368 + 0.141417i −0.00648811 + 0.00631173i
\(503\) −12.1971 14.2677i −0.543844 0.636167i 0.418431 0.908249i \(-0.362580\pi\)
−0.962274 + 0.272082i \(0.912288\pi\)
\(504\) 4.53455 9.38458i 0.201985 0.418022i
\(505\) 0.183862 1.32592i 0.00818175 0.0590025i
\(506\) −2.33533 1.61928i −0.103818 0.0719858i
\(507\) −0.0375533 + 0.0900761i −0.00166780 + 0.00400042i
\(508\) −1.31805 + 0.121417i −0.0584790 + 0.00538701i
\(509\) −12.6643 + 3.08352i −0.561333 + 0.136674i −0.507152 0.861857i \(-0.669302\pi\)
−0.0541814 + 0.998531i \(0.517255\pi\)
\(510\) 0.00356951 + 0.0554354i 0.000158061 + 0.00245472i
\(511\) 15.7738 18.4516i 0.697793 0.816251i
\(512\) 0.401695 + 0.915773i 0.0177526 + 0.0404718i
\(513\) −5.19550 1.76667i −0.229387 0.0780005i
\(514\) −11.1968 + 25.5262i −0.493871 + 1.12591i
\(515\) −0.808308 1.67285i −0.0356183 0.0737146i
\(516\) 1.86141 0.601029i 0.0819439 0.0264588i
\(517\) −11.8453 11.1071i −0.520956 0.488490i
\(518\) −7.53482 0.554714i −0.331061 0.0243727i
\(519\) 4.34811 2.45741i 0.190861 0.107868i
\(520\) 0.418545 + 0.118353i 0.0183544 + 0.00519013i
\(521\) 19.2371 26.1730i 0.842793 1.14666i −0.144774 0.989465i \(-0.546246\pi\)
0.987567 0.157197i \(-0.0502457\pi\)
\(522\) 15.6779 + 6.03471i 0.686203 + 0.264132i
\(523\) −20.6681 + 14.9005i −0.903753 + 0.651555i −0.937541 0.347874i \(-0.886904\pi\)
0.0337879 + 0.999429i \(0.489243\pi\)
\(524\) −0.173906 + 0.556009i −0.00759713 + 0.0242894i
\(525\) 3.16620 1.94626i 0.138184 0.0849416i
\(526\) −1.58786 3.44641i −0.0692339 0.150271i
\(527\) −2.56886 + 4.85281i −0.111901 + 0.211392i
\(528\) −0.846669 0.0779941i −0.0368465 0.00339426i
\(529\) −22.2582 + 3.29516i −0.967747 + 0.143268i
\(530\) −0.833717 + 0.170818i −0.0362144 + 0.00741987i
\(531\) −6.82655 + 5.31332i −0.296247 + 0.230578i
\(532\) −10.6502 11.0859i −0.461743 0.480635i
\(533\) −3.84785 2.99490i −0.166669 0.129724i
\(534\) −2.39120 1.18262i −0.103477 0.0511771i
\(535\) −0.0793320 0.339355i −0.00342982 0.0146716i
\(536\) −6.94950 3.12476i −0.300173 0.134969i
\(537\) −1.94622 3.51869i −0.0839855 0.151843i
\(538\) 26.0126 + 8.39919i 1.12148 + 0.362115i
\(539\) 3.00420 + 21.6647i 0.129400 + 0.933165i
\(540\) −0.0698274 + 0.137983i −0.00300489 + 0.00593783i
\(541\) −13.1419 + 1.69947i −0.565014 + 0.0730658i −0.405442 0.914121i \(-0.632883\pi\)
−0.159571 + 0.987186i \(0.551011\pi\)
\(542\) 18.8083 2.43223i 0.807887 0.104473i
\(543\) −0.585543 + 1.15706i −0.0251281 + 0.0496544i
\(544\) 0.293829 + 2.11894i 0.0125978 + 0.0908488i
\(545\) −1.01536 0.327849i −0.0434932 0.0140435i
\(546\) 1.27777 + 2.31017i 0.0546836 + 0.0988660i
\(547\) 29.5260 + 13.2760i 1.26244 + 0.567642i 0.927227 0.374500i \(-0.122186\pi\)
0.335214 + 0.942142i \(0.391192\pi\)
\(548\) −2.11472 9.04603i −0.0903362 0.386427i
\(549\) −32.9098 16.2763i −1.40456 0.694657i
\(550\) 15.8218 + 12.3146i 0.674642 + 0.525095i
\(551\) 16.3896 18.5828i 0.698222 0.791654i
\(552\) 0.117872 0.0917435i 0.00501697 0.00390486i
\(553\) −13.4655 + 2.75892i −0.572612 + 0.117321i
\(554\) −15.0958 + 2.23481i −0.641357 + 0.0949482i
\(555\) 0.0553945 + 0.00510287i 0.00235137 + 0.000216605i
\(556\) 6.07735 11.4807i 0.257737 0.486889i
\(557\) 13.9788 + 30.3406i 0.592300 + 1.28557i 0.937807 + 0.347158i \(0.112853\pi\)
−0.345507 + 0.938416i \(0.612293\pi\)
\(558\) −6.46223 + 3.97232i −0.273568 + 0.168162i
\(559\) 9.78041 31.2697i 0.413667 1.32257i
\(560\) −0.351411 + 0.253347i −0.0148498 + 0.0107059i
\(561\) −1.69747 0.653386i −0.0716671 0.0275860i
\(562\) 1.67302 2.27622i 0.0705720 0.0960167i
\(563\) 7.85092 + 2.22003i 0.330877 + 0.0935630i 0.433490 0.901158i \(-0.357282\pi\)
−0.102613 + 0.994721i \(0.532720\pi\)
\(564\) 0.743036 0.419939i 0.0312875 0.0176826i
\(565\) 0.0846943 + 0.00623521i 0.00356312 + 0.000262317i
\(566\) −12.1336 11.3775i −0.510014 0.478231i
\(567\) 28.8622 9.31930i 1.21210 0.391374i
\(568\) −5.21178 10.7861i −0.218682 0.452577i
\(569\) 5.01489 11.4328i 0.210235 0.479288i −0.778744 0.627342i \(-0.784143\pi\)
0.988979 + 0.148054i \(0.0473008\pi\)
\(570\) 0.0769045 + 0.0830524i 0.00322117 + 0.00347868i
\(571\) −17.1253 39.0418i −0.716672 1.63385i −0.772191 0.635390i \(-0.780839\pi\)
0.0555189 0.998458i \(-0.482319\pi\)
\(572\) −9.25425 + 10.8253i −0.386940 + 0.452627i
\(573\) −0.00817432 0.126949i −0.000341487 0.00530339i
\(574\) 4.71861 1.14890i 0.196951 0.0479540i
\(575\) −3.50730 + 0.323088i −0.146265 + 0.0134737i
\(576\) −1.13722 + 2.72775i −0.0473840 + 0.113656i
\(577\) −12.2620 8.50229i −0.510474 0.353955i 0.286390 0.958113i \(-0.407545\pi\)
−0.796865 + 0.604158i \(0.793510\pi\)
\(578\) 1.70645 12.3060i 0.0709789 0.511863i
\(579\) −1.49948 + 3.10328i −0.0623163 + 0.128968i
\(580\) −0.453722 0.530747i −0.0188398 0.0220381i
\(581\) −27.1854 + 26.4463i −1.12784 + 1.09718i
\(582\) −0.771809 + 0.937156i −0.0319925 + 0.0388464i
\(583\) 6.34315 27.1338i 0.262706 1.12377i
\(584\) −4.17760 + 5.47032i −0.172870 + 0.226363i
\(585\) 0.601388 + 1.13608i 0.0248643 + 0.0469710i
\(586\) 2.84285 + 6.81892i 0.117437 + 0.281687i
\(587\) −5.57793 + 26.0071i −0.230226 + 1.07343i 0.702176 + 0.712003i \(0.252212\pi\)
−0.932402 + 0.361423i \(0.882291\pi\)
\(588\) −1.13393 0.189220i −0.0467626 0.00780330i
\(589\) 2.17694 + 10.9743i 0.0896994 + 0.452188i
\(590\) 0.354655 0.0591814i 0.0146009 0.00243646i
\(591\) 0.0614535 1.33705i 0.00252786 0.0549989i
\(592\) 2.14189 + 0.0393549i 0.0880310 + 0.00161748i
\(593\) 35.0925 22.4699i 1.44108 0.922727i 0.441401 0.897310i \(-0.354482\pi\)
0.999677 0.0254172i \(-0.00809143\pi\)
\(594\) −3.14666 3.96710i −0.129109 0.162772i
\(595\) −0.870849 + 0.316963i −0.0357013 + 0.0129942i
\(596\) −0.720722 + 3.68969i −0.0295219 + 0.151136i
\(597\) 0.127862 + 4.63861i 0.00523306 + 0.189846i
\(598\) −0.114871 2.49927i −0.00469744 0.102203i
\(599\) 3.97595 + 18.5378i 0.162453 + 0.757435i 0.982667 + 0.185379i \(0.0593512\pi\)
−0.820214 + 0.572056i \(0.806146\pi\)
\(600\) −0.866000 + 0.600471i −0.0353543 + 0.0245141i
\(601\) 1.36349 + 2.69433i 0.0556178 + 0.109904i 0.918369 0.395724i \(-0.129506\pi\)
−0.862752 + 0.505628i \(0.831261\pi\)
\(602\) 18.3470 + 26.9862i 0.747769 + 1.09987i
\(603\) −7.50710 21.2304i −0.305713 0.864568i
\(604\) −3.48526 22.1367i −0.141813 0.900728i
\(605\) 0.564693 0.292314i 0.0229580 0.0118843i
\(606\) −1.76476 + 1.48081i −0.0716885 + 0.0601538i
\(607\) −2.00925 24.2481i −0.0815531 0.984200i −0.907390 0.420290i \(-0.861928\pi\)
0.825837 0.563909i \(-0.190703\pi\)
\(608\) 3.18839 + 2.97224i 0.129306 + 0.120540i
\(609\) 0.349978 4.22360i 0.0141818 0.171149i
\(610\) 0.881029 + 1.24602i 0.0356718 + 0.0504499i
\(611\) 1.44209 14.2231i 0.0583407 0.575405i
\(612\) −3.92874 + 4.95310i −0.158810 + 0.200217i
\(613\) 7.50144 22.5225i 0.302980 0.909677i −0.681137 0.732156i \(-0.738514\pi\)
0.984117 0.177520i \(-0.0568076\pi\)
\(614\) 19.1129 + 9.89381i 0.771333 + 0.399282i
\(615\) −0.0348927 + 0.00781963i −0.00140701 + 0.000315318i
\(616\) −2.71935 13.9216i −0.109566 0.560916i
\(617\) 7.65006 + 12.7054i 0.307980 + 0.511499i 0.971618 0.236554i \(-0.0760180\pi\)
−0.663639 + 0.748053i \(0.730989\pi\)
\(618\) −0.898260 + 3.06867i −0.0361333 + 0.123440i
\(619\) 18.0035 8.49605i 0.723621 0.341485i −0.0293227 0.999570i \(-0.509335\pi\)
0.752944 + 0.658085i \(0.228633\pi\)
\(620\) 0.314809 0.0173685i 0.0126430 0.000697535i
\(621\) 0.879940 + 0.130269i 0.0353108 + 0.00522750i
\(622\) −23.9103 5.82172i −0.958716 0.233430i
\(623\) 7.72808 43.8281i 0.309619 1.75594i
\(624\) −0.397842 0.634084i −0.0159264 0.0253837i
\(625\) 24.7572 0.910082i 0.990287 0.0364033i
\(626\) −2.73893 + 0.940276i −0.109470 + 0.0375810i
\(627\) −3.52354 + 1.14909i −0.140716 + 0.0458901i
\(628\) −6.99385 2.40099i −0.279085 0.0958101i
\(629\) 4.38616 + 1.32778i 0.174888 + 0.0529420i
\(630\) −1.25874 0.233891i −0.0501492 0.00931844i
\(631\) −15.4627 + 43.7291i −0.615559 + 1.74083i 0.0544947 + 0.998514i \(0.482645\pi\)
−0.670054 + 0.742312i \(0.733729\pi\)
\(632\) 3.76920 0.991421i 0.149931 0.0394366i
\(633\) 0.154489 + 0.566145i 0.00614037 + 0.0225022i
\(634\) 0.819660 + 1.11519i 0.0325529 + 0.0442898i
\(635\) 0.0570100 + 0.152267i 0.00226237 + 0.00604253i
\(636\) 1.26163 + 0.743936i 0.0500268 + 0.0294990i
\(637\) −13.5534 + 13.6784i −0.537004 + 0.541960i
\(638\) 22.0001 6.22105i 0.870994 0.246294i
\(639\) 12.4135 33.1549i 0.491069 1.31159i
\(640\) 0.0955325 0.0772155i 0.00377625 0.00305221i
\(641\) 20.9084 19.6054i 0.825832 0.774367i −0.150964 0.988539i \(-0.548238\pi\)
0.976796 + 0.214173i \(0.0687055\pi\)
\(642\) −0.290295 + 0.524842i −0.0114570 + 0.0207139i
\(643\) −17.7772 + 13.3195i −0.701065 + 0.525268i −0.889567 0.456805i \(-0.848994\pi\)
0.188501 + 0.982073i \(0.439637\pi\)
\(644\) 2.02134 + 1.45727i 0.0796521 + 0.0574247i
\(645\) −0.131416 0.201147i −0.00517451 0.00792017i
\(646\) 4.83318 + 7.97426i 0.190159 + 0.313743i
\(647\) 1.39443 2.13433i 0.0548206 0.0839091i −0.808704 0.588215i \(-0.799831\pi\)
0.863525 + 0.504306i \(0.168252\pi\)
\(648\) −8.02576 + 3.08926i −0.315282 + 0.121358i
\(649\) −3.09927 + 11.3577i −0.121657 + 0.445830i
\(650\) −0.162142 + 17.6506i −0.00635973 + 0.692314i
\(651\) 1.41977 + 1.28309i 0.0556450 + 0.0502884i
\(652\) 7.53567 12.0104i 0.295120 0.470365i
\(653\) −18.5875 + 32.1945i −0.727386 + 1.25987i 0.230598 + 0.973049i \(0.425932\pi\)
−0.957984 + 0.286821i \(0.907402\pi\)
\(654\) 0.918131 + 1.59025i 0.0359018 + 0.0621837i
\(655\) 0.0715125 + 0.00262882i 0.00279422 + 0.000102717i
\(656\) −1.31796 + 0.398974i −0.0514579 + 0.0155773i
\(657\) −20.2182 + 2.23774i −0.788785 + 0.0873027i
\(658\) 10.2061 + 9.92863i 0.397874 + 0.387058i
\(659\) −2.86403 + 44.4791i −0.111567 + 1.73266i 0.439538 + 0.898224i \(0.355142\pi\)
−0.551105 + 0.834436i \(0.685794\pi\)
\(660\) 0.0181361 + 0.102855i 0.000705948 + 0.00400363i
\(661\) 16.1647 14.6086i 0.628732 0.568208i −0.292962 0.956124i \(-0.594641\pi\)
0.921695 + 0.387916i \(0.126805\pi\)
\(662\) −5.90982 6.66132i −0.229692 0.258899i
\(663\) −0.449863 1.53684i −0.0174712 0.0596859i
\(664\) 7.28350 7.91199i 0.282655 0.307045i
\(665\) −0.969323 + 1.62056i −0.0375887 + 0.0628428i
\(666\) 4.28788 + 4.65787i 0.166152 + 0.180489i
\(667\) −2.07176 + 3.44083i −0.0802189 + 0.133229i
\(668\) 0.309913 + 0.112799i 0.0119909 + 0.00436433i
\(669\) −0.212854 0.639078i −0.00822940 0.0247082i
\(670\) −0.145569 + 0.924584i −0.00562383 + 0.0357198i
\(671\) −49.1258 + 9.12828i −1.89648 + 0.352393i
\(672\) 0.741035 + 0.0820177i 0.0285860 + 0.00316390i
\(673\) −30.1487 36.6075i −1.16215 1.41112i −0.894192 0.447684i \(-0.852249\pi\)
−0.267954 0.963432i \(-0.586348\pi\)
\(674\) 2.85027 1.40967i 0.109788 0.0542985i
\(675\) −6.14806 1.25966i −0.236639 0.0484844i
\(676\) 0.460938 + 0.0254307i 0.0177284 + 0.000978103i
\(677\) 26.6176 10.8111i 1.02300 0.415506i 0.197736 0.980255i \(-0.436641\pi\)
0.825262 + 0.564749i \(0.191027\pi\)
\(678\) −0.100946 0.105692i −0.00387679 0.00405907i
\(679\) −18.6221 7.96525i −0.714651 0.305678i
\(680\) 0.241600 0.103340i 0.00926492 0.00396289i
\(681\) −2.67027 + 2.79582i −0.102325 + 0.107136i
\(682\) −3.79678 + 9.59987i −0.145386 + 0.367598i
\(683\) −27.0014 14.6124i −1.03318 0.559129i −0.131402 0.991329i \(-0.541948\pi\)
−0.901778 + 0.432200i \(0.857737\pi\)
\(684\) 0.155950 + 12.8810i 0.00596291 + 0.492516i
\(685\) −1.00360 + 0.543122i −0.0383456 + 0.0207516i
\(686\) 0.656250 + 5.46929i 0.0250557 + 0.208818i
\(687\) −0.292702 + 0.635304i −0.0111673 + 0.0242383i
\(688\) −5.61585 7.35362i −0.214102 0.280354i
\(689\) 22.3748 10.0606i 0.852411 0.383277i
\(690\) −0.0146835 0.0110015i −0.000558992 0.000418821i
\(691\) −0.604047 1.93125i −0.0229790 0.0734680i 0.942208 0.335028i \(-0.108746\pi\)
−0.965187 + 0.261560i \(0.915763\pi\)
\(692\) −17.8163 15.5163i −0.677275 0.589839i
\(693\) 24.2019 34.2282i 0.919353 1.30022i
\(694\) 7.10024 + 5.95781i 0.269521 + 0.226155i
\(695\) −1.55702 0.348936i −0.0590611 0.0132359i
\(696\) −0.0331118 + 1.20123i −0.00125510 + 0.0455326i
\(697\) −2.94526 + 0.0541162i −0.111560 + 0.00204980i
\(698\) −21.3591 + 14.2363i −0.808456 + 0.538851i
\(699\) 1.79481 0.132134i 0.0678861 0.00499778i
\(700\) −13.6729 11.0513i −0.516786 0.417699i
\(701\) −36.9672 + 21.7982i −1.39623 + 0.823307i −0.995670 0.0929634i \(-0.970366\pi\)
−0.400561 + 0.916270i \(0.631185\pi\)
\(702\) 1.09435 4.32149i 0.0413036 0.163104i
\(703\) 8.64116 3.53917i 0.325907 0.133482i
\(704\) 0.987345 + 3.89894i 0.0372119 + 0.146947i
\(705\) −0.0737917 0.0744727i −0.00277916 0.00280480i
\(706\) −21.8404 12.3435i −0.821974 0.464552i
\(707\) −31.9803 21.3155i −1.20274 0.801650i
\(708\) −0.521125 0.333678i −0.0195851 0.0125404i
\(709\) −4.59579 45.3276i −0.172599 1.70231i −0.601427 0.798927i \(-0.705401\pi\)
0.428829 0.903386i \(-0.358926\pi\)
\(710\) −1.10966 + 0.966404i −0.0416448 + 0.0362685i
\(711\) 9.81244 + 6.03168i 0.367995 + 0.226206i
\(712\) −1.50335 + 12.5291i −0.0563403 + 0.469549i
\(713\) −0.666996 1.68645i −0.0249792 0.0631580i
\(714\) 1.47768 + 0.600181i 0.0553007 + 0.0224612i
\(715\) 1.58208 + 0.746603i 0.0591665 + 0.0279214i
\(716\) −12.6234 + 14.2286i −0.471757 + 0.531746i
\(717\) −0.00841994 0.916586i −0.000314449 0.0342305i
\(718\) −20.1742 5.30647i −0.752895 0.198036i
\(719\) −17.4414 + 25.6541i −0.650454 + 0.956735i 0.349352 + 0.936992i \(0.386402\pi\)
−0.999805 + 0.0197435i \(0.993715\pi\)
\(720\) 0.360021 + 0.0465568i 0.0134172 + 0.00173507i
\(721\) −53.3425 −1.98658
\(722\) 17.8918 + 6.39399i 0.665864 + 0.237960i
\(723\) 3.19845 0.118952
\(724\) 6.08362 + 0.786715i 0.226096 + 0.0292380i
\(725\) 15.9317 23.4335i 0.591688 0.870299i
\(726\) −1.05833 0.278374i −0.0392781 0.0103314i
\(727\) −0.170729 18.5854i −0.00633200 0.689295i −0.941853 0.336024i \(-0.890918\pi\)
0.935521 0.353270i \(-0.114930\pi\)
\(728\) 8.28776 9.34164i 0.307165 0.346224i
\(729\) −22.2622 10.5058i −0.824526 0.389103i
\(730\) 0.783341 + 0.318166i 0.0289927 + 0.0117758i
\(731\) −7.27975 18.4063i −0.269251 0.680782i
\(732\) 0.312880 2.60759i 0.0115644 0.0963794i
\(733\) −32.8673 20.2035i −1.21398 0.746233i −0.239544 0.970885i \(-0.576998\pi\)
−0.974439 + 0.224653i \(0.927875\pi\)
\(734\) 0.882305 0.768400i 0.0325665 0.0283622i
\(735\) 0.0142447 + 0.140494i 0.000525425 + 0.00518219i
\(736\) −0.595036 0.381003i −0.0219333 0.0140440i
\(737\) −25.5011 16.9970i −0.939346 0.626092i
\(738\) −3.54288 2.00231i −0.130415 0.0737062i
\(739\) 33.2738 + 33.5809i 1.22400 + 1.23529i 0.962863 + 0.269989i \(0.0870200\pi\)
0.261133 + 0.965303i \(0.415904\pi\)
\(740\) −0.0645984 0.255093i −0.00237468 0.00937741i
\(741\) −2.68679 1.85138i −0.0987018 0.0680123i
\(742\) −5.99825 + 23.6866i −0.220203 + 0.869561i
\(743\) 42.5499 25.0901i 1.56100 0.920468i 0.565603 0.824677i \(-0.308643\pi\)
0.995402 0.0957906i \(-0.0305379\pi\)
\(744\) −0.421999 0.341087i −0.0154712 0.0125049i
\(745\) 0.460547 0.0339055i 0.0168731 0.00124220i
\(746\) 21.9548 14.6333i 0.803822 0.535762i
\(747\) 31.7761 0.583853i 1.16263 0.0213620i
\(748\) −0.237076 + 8.60067i −0.00866835 + 0.314472i
\(749\) −9.76380 2.18812i −0.356761 0.0799521i
\(750\) 0.198623 + 0.166665i 0.00725269 + 0.00608573i
\(751\) 4.05409 5.73361i 0.147936 0.209223i −0.735812 0.677186i \(-0.763199\pi\)
0.883748 + 0.467963i \(0.155012\pi\)
\(752\) −3.04458 2.65153i −0.111024 0.0966913i
\(753\) −0.0127984 0.0409186i −0.000466398 0.00149116i
\(754\) 16.1085 + 12.0692i 0.586636 + 0.439533i
\(755\) −2.51056 + 1.12885i −0.0913688 + 0.0410829i
\(756\) 2.69483 + 3.52872i 0.0980100 + 0.128338i
\(757\) 7.26255 15.7632i 0.263962 0.572924i −0.729900 0.683554i \(-0.760433\pi\)
0.993862 + 0.110631i \(0.0352870\pi\)
\(758\) −4.41272 36.7763i −0.160277 1.33578i
\(759\) 0.528351 0.285929i 0.0191779 0.0103786i
\(760\) 0.249117 0.473947i 0.00903643 0.0171919i
\(761\) −45.9420 24.8626i −1.66540 0.901268i −0.985849 0.167638i \(-0.946386\pi\)
−0.679549 0.733630i \(-0.737824\pi\)
\(762\) 0.102911 0.260204i 0.00372809 0.00942620i
\(763\) −21.1585 + 22.1533i −0.765989 + 0.802004i
\(764\) −0.553273 + 0.236652i −0.0200167 + 0.00856177i
\(765\) 0.714002 + 0.305401i 0.0258148 + 0.0110418i
\(766\) −16.1959 16.9574i −0.585183 0.612697i
\(767\) −9.60300 + 3.90040i −0.346744 + 0.140835i
\(768\) −0.211079 0.0116456i −0.00761667 0.000420223i
\(769\) 3.94735 + 0.808763i 0.142345 + 0.0291648i 0.271360 0.962478i \(-0.412527\pi\)
−0.129015 + 0.991643i \(0.541182\pi\)
\(770\) −1.56182 + 0.772433i −0.0562840 + 0.0278366i
\(771\) −3.74604 4.54857i −0.134910 0.163813i
\(772\) 16.2045 + 1.79352i 0.583213 + 0.0645500i
\(773\) −28.1758 + 5.23546i −1.01341 + 0.188306i −0.663262 0.748387i \(-0.730829\pi\)
−0.350150 + 0.936693i \(0.613870\pi\)
\(774\) 4.25285 27.0120i 0.152866 0.970926i
\(775\) 4.04317 + 12.1393i 0.145235 + 0.436057i
\(776\) 5.39662 + 1.96421i 0.193727 + 0.0705110i
\(777\) 0.823863 1.36829i 0.0295559 0.0490871i
\(778\) 20.7507 + 22.5412i 0.743947 + 0.808142i
\(779\) −4.58677 + 3.87164i −0.164338 + 0.138716i
\(780\) −0.0622761 + 0.0676499i −0.00222984 + 0.00242225i
\(781\) −13.5355 46.2405i −0.484338 1.65462i
\(782\) −1.00310 1.13066i −0.0358709 0.0404322i
\(783\) −5.30946 + 4.79835i −0.189745 + 0.171479i
\(784\) 0.944313 + 5.35547i 0.0337255 + 0.191267i
\(785\) −0.0583657 + 0.906435i −0.00208316 + 0.0323521i
\(786\) −0.0882760 0.0858762i −0.00314870 0.00306310i
\(787\) −12.0917 + 1.33831i −0.431022 + 0.0477056i −0.322902 0.946432i \(-0.604659\pi\)
−0.108120 + 0.994138i \(0.534483\pi\)
\(788\) −6.05983 + 1.83443i −0.215873 + 0.0653489i
\(789\) 0.801640 + 0.0294685i 0.0285391 + 0.00104911i
\(790\) −0.239371 0.414602i −0.00851643 0.0147509i
\(791\) 1.21913 2.11159i 0.0433472 0.0750795i
\(792\) −6.31728 + 10.0685i −0.224475 + 0.357770i
\(793\) −32.6371 29.4954i −1.15898 1.04741i
\(794\) −0.0274441 + 2.98754i −0.000973955 + 0.106024i
\(795\) 0.0473617 0.173563i 0.00167975 0.00615566i
\(796\) 20.4855 7.88523i 0.726088 0.279485i
\(797\) −1.11498 + 1.70660i −0.0394946 + 0.0604509i −0.856368 0.516366i \(-0.827284\pi\)
0.816873 + 0.576817i \(0.195705\pi\)
\(798\) 3.10766 0.950667i 0.110010 0.0336533i
\(799\) −4.72384 7.23038i −0.167117 0.255792i
\(800\) 4.04362 + 2.91522i 0.142963 + 0.103069i
\(801\) −29.8453 + 22.3614i −1.05453 + 0.790100i
\(802\) 5.01611 9.06894i 0.177125 0.320235i
\(803\) −20.1945 + 18.9360i −0.712649 + 0.668237i
\(804\) 1.25276 1.01256i 0.0441815 0.0357103i
\(805\) 0.107328 0.286660i 0.00378280 0.0101034i
\(806\) −8.74575 + 2.47306i −0.308056 + 0.0871099i
\(807\) −4.06729 + 4.10483i −0.143175 + 0.144497i
\(808\) 9.38705 + 5.53520i 0.330235 + 0.194728i
\(809\) −4.31841 11.5340i −0.151827 0.405513i 0.838386 0.545078i \(-0.183500\pi\)
−0.990213 + 0.139565i \(0.955430\pi\)
\(810\) 0.625616 + 0.851181i 0.0219819 + 0.0299075i
\(811\) −7.48341 27.4240i −0.262778 0.962987i −0.967369 0.253373i \(-0.918460\pi\)
0.704591 0.709614i \(-0.251131\pi\)
\(812\) −19.3882 + 5.09971i −0.680391 + 0.178965i
\(813\) −1.33656 + 3.77985i −0.0468752 + 0.132565i
\(814\) 8.47114 + 1.57406i 0.296913 + 0.0551707i
\(815\) −1.66696 0.504621i −0.0583909 0.0176761i
\(816\) −0.427728 0.146839i −0.0149735 0.00514040i
\(817\) −35.1699 19.7416i −1.23044 0.690670i
\(818\) −0.190355 + 0.0653490i −0.00665561 + 0.00228487i
\(819\) 36.8814 1.35577i 1.28874 0.0473745i
\(820\) 0.0898986 + 0.143281i 0.00313940 + 0.00500361i
\(821\) 0.415016 2.35367i 0.0144842 0.0821438i −0.976709 0.214569i \(-0.931165\pi\)
0.991193 + 0.132425i \(0.0422764\pi\)
\(822\) 1.90815 + 0.464599i 0.0665543 + 0.0162048i
\(823\) 26.3688 + 3.90371i 0.919159 + 0.136075i 0.589262 0.807942i \(-0.299419\pi\)
0.329897 + 0.944017i \(0.392986\pi\)
\(824\) 15.1021 0.833204i 0.526106 0.0290261i
\(825\) −3.83306 + 1.80887i −0.133450 + 0.0629767i
\(826\) 2.90015 9.90761i 0.100909 0.344730i
\(827\) 15.8377 + 26.3036i 0.550732 + 0.914668i 0.999776 + 0.0211580i \(0.00673530\pi\)
−0.449044 + 0.893510i \(0.648235\pi\)
\(828\) −0.400313 2.04938i −0.0139118 0.0712209i
\(829\) 5.68242 1.27346i 0.197359 0.0442291i −0.118881 0.992909i \(-0.537931\pi\)
0.316239 + 0.948679i \(0.397580\pi\)
\(830\) −1.17312 0.607269i −0.0407197 0.0210786i
\(831\) 1.01942 3.06073i 0.0353632 0.106175i
\(832\) −2.20048 + 2.77421i −0.0762878 + 0.0961786i
\(833\) −1.17348 + 11.5739i −0.0406588 + 0.401011i
\(834\) 1.58541 + 2.24221i 0.0548982 + 0.0776413i
\(835\) 0.00334543 0.0403733i 0.000115773 0.00139718i
\(836\) 10.6812 + 13.9020i 0.369417 + 0.480812i
\(837\) −0.266847 3.22036i −0.00922358 0.111312i
\(838\) −12.4942 + 10.4839i −0.431606 + 0.362161i
\(839\) −27.6990 + 14.3384i −0.956275 + 0.495017i −0.865530 0.500857i \(-0.833018\pi\)
−0.0907447 + 0.995874i \(0.528925\pi\)
\(840\) −0.0142434 0.0904672i −0.000491445 0.00312142i
\(841\) −1.10436 3.12317i −0.0380813 0.107695i
\(842\) 21.9327 + 32.2603i 0.755851 + 1.11176i
\(843\) 0.269651 + 0.532845i 0.00928728 + 0.0183522i
\(844\) 2.28125 1.58178i 0.0785237 0.0544471i
\(845\) −0.0118917 0.0554450i −0.000409087 0.00190737i
\(846\) −0.547821 11.9190i −0.0188345 0.409783i
\(847\) −0.503045 18.2495i −0.0172848 0.627061i
\(848\) 1.32822 6.79972i 0.0456111 0.233503i
\(849\) 3.30426 1.20265i 0.113402 0.0412749i
\(850\) 6.62686 + 8.35471i 0.227300 + 0.286564i
\(851\) −1.27471 + 0.816204i −0.0436966 + 0.0279791i
\(852\) 2.53200 + 0.0465229i 0.0867450 + 0.00159385i
\(853\) −2.06047 + 44.8299i −0.0705493 + 1.53495i 0.604160 + 0.796863i \(0.293509\pi\)
−0.674710 + 0.738083i \(0.735731\pi\)
\(854\) 43.2166 7.21158i 1.47884 0.246775i
\(855\) 1.52139 0.435011i 0.0520305 0.0148771i
\(856\) 2.79846 + 0.466980i 0.0956493 + 0.0159610i
\(857\) 9.15460 42.6833i 0.312715 1.45803i −0.495223 0.868766i \(-0.664914\pi\)
0.807939 0.589267i \(-0.200583\pi\)
\(858\) −1.15853 2.77888i −0.0395517 0.0948694i
\(859\) 0.573865 + 1.08408i 0.0195800 + 0.0369884i 0.893405 0.449252i \(-0.148309\pi\)
−0.873825 + 0.486240i \(0.838368\pi\)
\(860\) −0.689828 + 0.903289i −0.0235229 + 0.0308019i
\(861\) −0.233704 + 0.999705i −0.00796460 + 0.0340698i
\(862\) −5.09441 + 6.18580i −0.173516 + 0.210689i
\(863\) −12.8918 + 12.5413i −0.438841 + 0.426911i −0.883243 0.468916i \(-0.844645\pi\)
0.444401 + 0.895828i \(0.353416\pi\)
\(864\) −0.818065 0.956941i −0.0278312 0.0325558i
\(865\) −1.26260 + 2.61304i −0.0429297 + 0.0888460i
\(866\) −3.98463 + 28.7351i −0.135403 + 0.976459i
\(867\) 2.15831 + 1.49654i 0.0733000 + 0.0508251i
\(868\) 3.48335 8.35523i 0.118233 0.283595i
\(869\) 15.6093 1.43791i 0.529509 0.0487777i
\(870\) 0.143421 0.0349203i 0.00486242 0.00118391i
\(871\) −1.73373 26.9252i −0.0587450 0.912326i
\(872\) 5.64426 6.60243i 0.191139 0.223587i
\(873\) 6.81767 + 15.5427i 0.230743 + 0.526041i
\(874\) −3.03930 0.498050i −0.102806 0.0168468i
\(875\) −1.73758 + 3.96127i −0.0587408 + 0.133915i
\(876\) −0.633057 1.31016i −0.0213890 0.0442661i
\(877\) 47.0812 15.2021i 1.58982 0.513337i 0.625985 0.779835i \(-0.284697\pi\)
0.963835 + 0.266498i \(0.0858666\pi\)
\(878\) −8.31509 7.79690i −0.280621 0.263133i
\(879\) −1.55757 0.114668i −0.0525355 0.00386767i
\(880\) 0.430109 0.243083i 0.0144990 0.00819433i
\(881\) 26.1838 + 7.40408i 0.882156 + 0.249450i 0.682912 0.730500i \(-0.260713\pi\)
0.199243 + 0.979950i \(0.436152\pi\)
\(882\) −9.51794 + 12.9496i −0.320486 + 0.436037i
\(883\) 12.1840 + 4.68983i 0.410023 + 0.157825i 0.555462 0.831542i \(-0.312541\pi\)
−0.145439 + 0.989367i \(0.546460\pi\)
\(884\) −6.14451 + 4.42984i −0.206662 + 0.148992i
\(885\) −0.0226904 + 0.0725452i −0.000762728 + 0.00243858i
\(886\) −5.99505 + 3.68514i −0.201408 + 0.123805i
\(887\) 2.89023 + 6.27318i 0.0970444 + 0.210633i 0.950635 0.310312i \(-0.100434\pi\)
−0.853590 + 0.520945i \(0.825580\pi\)
\(888\) −0.211876 + 0.400252i −0.00711008 + 0.0134316i
\(889\) 4.64845 + 0.428209i 0.155904 + 0.0143617i
\(890\) 1.53336 0.227002i 0.0513982 0.00760913i
\(891\) −33.8845 + 6.94251i −1.13517 + 0.232583i
\(892\) −2.51447 + 1.95709i −0.0841906 + 0.0655281i
\(893\) −16.7627 5.35849i −0.560942 0.179315i
\(894\) −0.627165 0.488142i −0.0209755 0.0163259i
\(895\) 2.09433 + 1.03580i 0.0700058 + 0.0346230i
\(896\) −0.802817 3.43418i −0.0268202 0.114728i
\(897\) 0.482384 + 0.216899i 0.0161063 + 0.00724203i
\(898\) −13.6373 24.6558i −0.455084 0.822774i
\(899\) 13.8845 + 4.48318i 0.463076 + 0.149522i
\(900\) 2.02349 + 14.5923i 0.0674496 + 0.486411i
\(901\) 6.69216 13.2241i 0.222948 0.440558i
\(902\) −5.49269 + 0.710297i −0.182886 + 0.0236503i
\(903\) −6.84151 + 0.884723i −0.227671 + 0.0294417i
\(904\) −0.312171 + 0.616866i −0.0103826 + 0.0205167i
\(905\) −0.103497 0.746368i −0.00344037 0.0248101i
\(906\) 4.50816 + 1.45564i 0.149774 + 0.0483604i
\(907\) 10.8762 + 19.6638i 0.361138 + 0.652925i 0.992456 0.122600i \(-0.0391231\pi\)
−0.631318 + 0.775524i \(0.717486\pi\)
\(908\) 16.6796 + 7.49980i 0.553533 + 0.248890i
\(909\) 7.33110 + 31.3599i 0.243157 + 1.04014i
\(910\) −1.37502 0.680046i −0.0455813 0.0225433i
\(911\) 27.9692 + 21.7693i 0.926660 + 0.721248i 0.960530 0.278178i \(-0.0897304\pi\)
−0.0338695 + 0.999426i \(0.510783\pi\)
\(912\) −0.864977 + 0.317690i −0.0286423 + 0.0105198i
\(913\) 34.1325 26.5664i 1.12962 0.879219i
\(914\) 2.66908 0.546862i 0.0882854 0.0180886i
\(915\) −0.319126 + 0.0472442i −0.0105500 + 0.00156185i
\(916\) 3.29489 + 0.303521i 0.108866 + 0.0100286i
\(917\) 0.961239 1.81587i 0.0317429 0.0599652i
\(918\) −1.12696 2.44605i −0.0371953 0.0807316i
\(919\) 40.0150 24.5971i 1.31997 0.811385i 0.328857 0.944380i \(-0.393337\pi\)
0.991117 + 0.132995i \(0.0424594\pi\)
\(920\) −0.0259085 + 0.0828341i −0.000854178 + 0.00273096i
\(921\) −3.69061 + 2.66072i −0.121610 + 0.0876736i
\(922\) −17.5705 6.76320i −0.578653 0.222734i
\(923\) 25.1215 34.1791i 0.826885 1.12502i
\(924\) 2.88550 + 0.815942i 0.0949261 + 0.0268425i
\(925\) 9.29687 5.25428i 0.305679 0.172760i
\(926\) −15.2767 1.12468i −0.502025 0.0369591i
\(927\) 32.6068 + 30.5747i 1.07095 + 1.00421i
\(928\) 5.40943 1.74665i 0.177573 0.0573365i
\(929\) 22.1973 + 45.9389i 0.728270 + 1.50720i 0.856883 + 0.515510i \(0.172398\pi\)
−0.128614 + 0.991695i \(0.541053\pi\)
\(930\) −0.0267737 + 0.0610380i −0.000877946 + 0.00200151i
\(931\) 13.0228 + 19.8063i 0.426805 + 0.649125i
\(932\) −3.41967 7.79607i −0.112015 0.255369i
\(933\) 3.38045 3.95432i 0.110671 0.129459i
\(934\) 1.84500 + 28.6533i 0.0603701 + 0.937564i
\(935\) 1.02687 0.250025i 0.0335824 0.00817669i
\(936\) −10.4205 + 0.959923i −0.340605 + 0.0313761i
\(937\) 6.94385 16.6557i 0.226846 0.544117i −0.768569 0.639767i \(-0.779031\pi\)
0.995415 + 0.0956501i \(0.0304930\pi\)
\(938\) 22.0835 + 15.3124i 0.721053 + 0.499967i
\(939\) 0.0840852 0.606378i 0.00274402 0.0197884i
\(940\) −0.215762 + 0.446535i −0.00703739 + 0.0145644i
\(941\) −13.2557 15.5060i −0.432123 0.505481i 0.500797 0.865565i \(-0.333040\pi\)
−0.932920 + 0.360084i \(0.882748\pi\)
\(942\) 1.12048 1.09002i 0.0365071 0.0355146i
\(943\) 0.618532 0.751042i 0.0201422 0.0244573i
\(944\) −0.666321 + 2.85030i −0.0216869 + 0.0927692i
\(945\) 0.331022 0.433454i 0.0107681 0.0141003i
\(946\) −17.4108 32.8906i −0.566074 1.06937i
\(947\) 9.08756 + 21.7976i 0.295306 + 0.708326i 0.999999 0.00118577i \(-0.000377443\pi\)
−0.704693 + 0.709512i \(0.748915\pi\)
\(948\) −0.172781 + 0.805592i −0.00561168 + 0.0261644i
\(949\) −24.0402 4.01161i −0.780379 0.130222i
\(950\) 21.2166 + 4.68972i 0.688357 + 0.152155i
\(951\) −0.288590 + 0.0481572i −0.00935817 + 0.00156160i
\(952\) 0.346395 7.53655i 0.0112267 0.244261i
\(953\) −18.8027 0.345480i −0.609080 0.0111912i −0.287042 0.957918i \(-0.592672\pi\)
−0.322038 + 0.946727i \(0.604368\pi\)
\(954\) 17.2432 11.0409i 0.558269 0.357461i
\(955\) 0.0459352 + 0.0579120i 0.00148643 + 0.00187399i
\(956\) −4.07447 + 1.48299i −0.131778 + 0.0479632i
\(957\) −0.926577 + 4.74356i −0.0299520 + 0.153337i
\(958\) 1.05460 + 38.2590i 0.0340727 + 1.23609i
\(959\) 1.50428 + 32.7288i 0.0485759 + 1.05687i
\(960\) 0.00544562 + 0.0253902i 0.000175757 + 0.000819464i
\(961\) 20.0611 13.9101i 0.647134 0.448713i
\(962\) 3.42515 + 6.76829i 0.110431 + 0.218218i
\(963\) 4.71416 + 6.93393i 0.151912 + 0.223443i
\(964\) −5.04389 14.2643i −0.162453 0.459423i
\(965\) −0.311467 1.97828i −0.0100265 0.0636832i
\(966\) −0.467821 + 0.242168i −0.0150519 + 0.00779164i
\(967\) −42.4686 + 35.6354i −1.36570 + 1.14596i −0.391522 + 0.920169i \(0.628051\pi\)
−0.974176 + 0.225789i \(0.927504\pi\)
\(968\) 0.427476 + 5.15886i 0.0137396 + 0.165812i
\(969\) −1.96548 + 0.150471i −0.0631402 + 0.00483383i
\(970\) 0.0582550 0.703033i 0.00187045 0.0225730i
\(971\) 21.9584 + 31.0553i 0.704678 + 0.996611i 0.999161 + 0.0409539i \(0.0130397\pi\)
−0.294483 + 0.955657i \(0.595147\pi\)
\(972\) 0.564373 5.56632i 0.0181023 0.178540i
\(973\) −28.4696 + 35.8926i −0.912695 + 1.15067i
\(974\) 4.40333 13.2207i 0.141092 0.423618i
\(975\) −3.31383 1.71541i −0.106128 0.0549371i
\(976\) −12.1226 + 2.71675i −0.388036 + 0.0869610i
\(977\) 4.39523 + 22.5011i 0.140616 + 0.719874i 0.983375 + 0.181584i \(0.0581225\pi\)
−0.842760 + 0.538290i \(0.819071\pi\)
\(978\) 1.54613 + 2.56785i 0.0494398 + 0.0821107i
\(979\) −14.2583 + 48.7098i −0.455697 + 1.55677i
\(980\) 0.604104 0.285084i 0.0192974 0.00910666i
\(981\) 25.6314 1.41412i 0.818347 0.0451495i
\(982\) −17.3720 2.57179i −0.554362 0.0820692i
\(983\) −35.4066 8.62087i −1.12930 0.274963i −0.372127 0.928182i \(-0.621371\pi\)
−0.757169 + 0.653219i \(0.773418\pi\)
\(984\) 0.0505498 0.286682i 0.00161147 0.00913909i
\(985\) 0.413342 + 0.658790i 0.0131702 + 0.0209908i
\(986\) 12.1520 0.446711i 0.386998 0.0142262i
\(987\) −2.84698 + 0.977370i −0.0906204 + 0.0311100i
\(988\) −4.01971 + 14.9020i −0.127884 + 0.474097i
\(989\) 6.18342 + 2.12277i 0.196621 + 0.0675002i
\(990\) 1.39744 + 0.423032i 0.0444135 + 0.0134448i
\(991\) 54.0759 + 10.0481i 1.71778 + 0.319187i 0.947795 0.318880i \(-0.103307\pi\)
0.769981 + 0.638067i \(0.220266\pi\)
\(992\) −0.855682 + 2.41990i −0.0271679 + 0.0768320i
\(993\) 1.82059 0.478876i 0.0577748 0.0151967i
\(994\) 11.1220 + 40.7580i 0.352767 + 1.29276i
\(995\) −1.59686 2.17261i −0.0506239 0.0688763i
\(996\) 0.797141 + 2.12907i 0.0252584 + 0.0674621i
\(997\) −31.5835 18.6236i −1.00026 0.589817i −0.0865766 0.996245i \(-0.527593\pi\)
−0.913683 + 0.406429i \(0.866774\pi\)
\(998\) −24.4039 + 24.6291i −0.772493 + 0.779622i
\(999\) −2.59523 + 0.733861i −0.0821095 + 0.0232184i
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 722.2.k.a.139.8 1620
361.187 even 171 inner 722.2.k.a.187.8 yes 1620
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
722.2.k.a.139.8 1620 1.1 even 1 trivial
722.2.k.a.187.8 yes 1620 361.187 even 171 inner