Properties

Label 300.2.r.a.179.27
Level $300$
Weight $2$
Character 300.179
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(59,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 179.27
Character \(\chi\) \(=\) 300.179
Dual form 300.2.r.a.119.27

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.129226 + 1.40830i) q^{2} +(-1.59388 + 0.677902i) q^{3} +(-1.96660 - 0.363979i) q^{4} +(-1.18493 + 1.89629i) q^{5} +(-0.748716 - 2.33226i) q^{6} -2.57099 q^{7} +(0.766727 - 2.72252i) q^{8} +(2.08090 - 2.16099i) q^{9} +O(q^{10})\) \(q+(-0.129226 + 1.40830i) q^{2} +(-1.59388 + 0.677902i) q^{3} +(-1.96660 - 0.363979i) q^{4} +(-1.18493 + 1.89629i) q^{5} +(-0.748716 - 2.33226i) q^{6} -2.57099 q^{7} +(0.766727 - 2.72252i) q^{8} +(2.08090 - 2.16099i) q^{9} +(-2.51742 - 1.91379i) q^{10} +(0.341075 - 1.04972i) q^{11} +(3.38127 - 0.753025i) q^{12} +(2.85389 - 0.927285i) q^{13} +(0.332240 - 3.62072i) q^{14} +(0.603138 - 3.82573i) q^{15} +(3.73504 + 1.43160i) q^{16} +(-2.78530 + 2.02364i) q^{17} +(2.77440 + 3.20978i) q^{18} +(-1.92721 - 2.65258i) q^{19} +(3.02050 - 3.29796i) q^{20} +(4.09785 - 1.74288i) q^{21} +(1.43424 + 0.615986i) q^{22} +(-4.10907 - 1.33512i) q^{23} +(0.623534 + 4.85914i) q^{24} +(-2.19187 - 4.49396i) q^{25} +(0.937095 + 4.13896i) q^{26} +(-1.85176 + 4.85499i) q^{27} +(5.05611 + 0.935785i) q^{28} +(1.76223 - 2.42550i) q^{29} +(5.30983 + 1.34378i) q^{30} +(-4.24092 - 5.83713i) q^{31} +(-2.49879 + 5.07504i) q^{32} +(0.167975 + 1.90434i) q^{33} +(-2.48995 - 4.18404i) q^{34} +(3.04645 - 4.87535i) q^{35} +(-4.87885 + 3.49240i) q^{36} +(-6.09098 + 1.97908i) q^{37} +(3.98467 - 2.37131i) q^{38} +(-3.92015 + 3.41264i) q^{39} +(4.25419 + 4.67995i) q^{40} +(-1.47132 + 0.478062i) q^{41} +(1.92494 + 5.99621i) q^{42} +9.70895 q^{43} +(-1.05283 + 1.94024i) q^{44} +(1.63214 + 6.50662i) q^{45} +(2.41124 - 5.61426i) q^{46} +(-6.37987 + 8.78114i) q^{47} +(-6.92368 + 0.250191i) q^{48} -0.390011 q^{49} +(6.61208 - 2.50606i) q^{50} +(3.06761 - 5.11360i) q^{51} +(-5.94998 + 0.784845i) q^{52} +(-10.5402 - 7.65790i) q^{53} +(-6.59798 - 3.23523i) q^{54} +(1.58643 + 1.89063i) q^{55} +(-1.97125 + 6.99958i) q^{56} +(4.86993 + 2.92143i) q^{57} +(3.18810 + 2.79518i) q^{58} +(3.55958 + 10.9552i) q^{59} +(-2.57862 + 7.30416i) q^{60} +(0.600696 - 1.84875i) q^{61} +(8.76845 - 5.21817i) q^{62} +(-5.34997 + 5.55587i) q^{63} +(-6.82426 - 4.17486i) q^{64} +(-1.62326 + 6.51059i) q^{65} +(-2.70359 - 0.00953207i) q^{66} +(1.29088 - 0.937878i) q^{67} +(6.21415 - 2.96591i) q^{68} +(7.45444 - 0.657531i) q^{69} +(6.47227 + 4.92033i) q^{70} +(-9.09695 - 6.60932i) q^{71} +(-4.28785 - 7.32218i) q^{72} +(-9.87014 - 3.20700i) q^{73} +(-2.00001 - 8.83365i) q^{74} +(6.54004 + 5.67696i) q^{75} +(2.82458 + 5.91803i) q^{76} +(-0.876900 + 2.69882i) q^{77} +(-4.29942 - 5.96173i) q^{78} +(-0.915625 + 1.26025i) q^{79} +(-7.14051 + 5.38638i) q^{80} +(-0.339725 - 8.99359i) q^{81} +(-0.483119 - 2.13384i) q^{82} +(3.91247 + 5.38506i) q^{83} +(-8.69320 + 1.93602i) q^{84} +(-0.537022 - 7.67964i) q^{85} +(-1.25465 + 13.6731i) q^{86} +(-1.16453 + 5.06057i) q^{87} +(-2.59638 - 1.73343i) q^{88} +(-9.75711 - 3.17028i) q^{89} +(-9.37417 + 1.45771i) q^{90} +(-7.33732 + 2.38404i) q^{91} +(7.59495 + 4.12126i) q^{92} +(10.7165 + 6.42875i) q^{93} +(-11.5420 - 10.1195i) q^{94} +(7.31370 - 0.511433i) q^{95} +(0.542380 - 9.78294i) q^{96} +(5.79317 - 7.97361i) q^{97} +(0.0503997 - 0.549251i) q^{98} +(-1.55869 - 2.92142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} - 7 q^{6} - 6 q^{9} - 5 q^{12} - 20 q^{13} + 6 q^{16} - 24 q^{21} - 10 q^{22} - 28 q^{24} - 20 q^{25} - 50 q^{28} - 25 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 60 q^{37} - 20 q^{40} - 85 q^{42} - 30 q^{45} + 6 q^{46} - 70 q^{48} + 88 q^{49} + 40 q^{52} - 46 q^{54} + 50 q^{58} + 10 q^{60} - 28 q^{61} + 18 q^{64} + 64 q^{66} - 42 q^{69} - 40 q^{70} - 5 q^{72} - 20 q^{73} - 80 q^{76} - 85 q^{78} + 18 q^{81} - 48 q^{84} - 20 q^{85} + 50 q^{88} - 60 q^{90} + 60 q^{94} + 44 q^{96} - 120 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.129226 + 1.40830i −0.0913769 + 0.995816i
\(3\) −1.59388 + 0.677902i −0.920226 + 0.391387i
\(4\) −1.96660 0.363979i −0.983301 0.181989i
\(5\) −1.18493 + 1.89629i −0.529918 + 0.848049i
\(6\) −0.748716 2.33226i −0.305662 0.952140i
\(7\) −2.57099 −0.971743 −0.485871 0.874030i \(-0.661498\pi\)
−0.485871 + 0.874030i \(0.661498\pi\)
\(8\) 0.766727 2.72252i 0.271079 0.962557i
\(9\) 2.08090 2.16099i 0.693633 0.720329i
\(10\) −2.51742 1.91379i −0.796079 0.605193i
\(11\) 0.341075 1.04972i 0.102838 0.316503i −0.886379 0.462960i \(-0.846787\pi\)
0.989217 + 0.146458i \(0.0467872\pi\)
\(12\) 3.38127 0.753025i 0.976087 0.217380i
\(13\) 2.85389 0.927285i 0.791527 0.257183i 0.114773 0.993392i \(-0.463386\pi\)
0.676754 + 0.736209i \(0.263386\pi\)
\(14\) 0.332240 3.62072i 0.0887949 0.967677i
\(15\) 0.603138 3.82573i 0.155730 0.987800i
\(16\) 3.73504 + 1.43160i 0.933760 + 0.357900i
\(17\) −2.78530 + 2.02364i −0.675536 + 0.490805i −0.871874 0.489731i \(-0.837095\pi\)
0.196338 + 0.980536i \(0.437095\pi\)
\(18\) 2.77440 + 3.20978i 0.653933 + 0.756552i
\(19\) −1.92721 2.65258i −0.442133 0.608544i 0.528551 0.848901i \(-0.322735\pi\)
−0.970684 + 0.240357i \(0.922735\pi\)
\(20\) 3.02050 3.29796i 0.675405 0.737447i
\(21\) 4.09785 1.74288i 0.894223 0.380327i
\(22\) 1.43424 + 0.615986i 0.305781 + 0.131329i
\(23\) −4.10907 1.33512i −0.856801 0.278392i −0.152509 0.988302i \(-0.548735\pi\)
−0.704292 + 0.709911i \(0.748735\pi\)
\(24\) 0.623534 + 4.85914i 0.127278 + 0.991867i
\(25\) −2.19187 4.49396i −0.438373 0.898793i
\(26\) 0.937095 + 4.13896i 0.183779 + 0.811716i
\(27\) −1.85176 + 4.85499i −0.356372 + 0.934344i
\(28\) 5.05611 + 0.935785i 0.955515 + 0.176847i
\(29\) 1.76223 2.42550i 0.327238 0.450404i −0.613422 0.789755i \(-0.710208\pi\)
0.940660 + 0.339351i \(0.110208\pi\)
\(30\) 5.30983 + 1.34378i 0.969437 + 0.245340i
\(31\) −4.24092 5.83713i −0.761692 1.04838i −0.997071 0.0764758i \(-0.975633\pi\)
0.235379 0.971904i \(-0.424367\pi\)
\(32\) −2.49879 + 5.07504i −0.441727 + 0.897149i
\(33\) 0.167975 + 1.90434i 0.0292408 + 0.331503i
\(34\) −2.48995 4.18404i −0.427024 0.717558i
\(35\) 3.04645 4.87535i 0.514944 0.824085i
\(36\) −4.87885 + 3.49240i −0.813142 + 0.582066i
\(37\) −6.09098 + 1.97908i −1.00135 + 0.325358i −0.763405 0.645920i \(-0.776474\pi\)
−0.237945 + 0.971279i \(0.576474\pi\)
\(38\) 3.98467 2.37131i 0.646399 0.384677i
\(39\) −3.92015 + 3.41264i −0.627726 + 0.546459i
\(40\) 4.25419 + 4.67995i 0.672646 + 0.739965i
\(41\) −1.47132 + 0.478062i −0.229782 + 0.0746607i −0.421645 0.906761i \(-0.638547\pi\)
0.191863 + 0.981422i \(0.438547\pi\)
\(42\) 1.92494 + 5.99621i 0.297025 + 0.925235i
\(43\) 9.70895 1.48060 0.740301 0.672276i \(-0.234683\pi\)
0.740301 + 0.672276i \(0.234683\pi\)
\(44\) −1.05283 + 1.94024i −0.158721 + 0.292502i
\(45\) 1.63214 + 6.50662i 0.243305 + 0.969950i
\(46\) 2.41124 5.61426i 0.355519 0.827778i
\(47\) −6.37987 + 8.78114i −0.930600 + 1.28086i 0.0290253 + 0.999579i \(0.490760\pi\)
−0.959625 + 0.281282i \(0.909240\pi\)
\(48\) −6.92368 + 0.250191i −0.999348 + 0.0361120i
\(49\) −0.390011 −0.0557158
\(50\) 6.61208 2.50606i 0.935090 0.354410i
\(51\) 3.06761 5.11360i 0.429551 0.716048i
\(52\) −5.94998 + 0.784845i −0.825113 + 0.108838i
\(53\) −10.5402 7.65790i −1.44781 1.05189i −0.986338 0.164737i \(-0.947323\pi\)
−0.461469 0.887156i \(-0.652677\pi\)
\(54\) −6.59798 3.23523i −0.897871 0.440258i
\(55\) 1.58643 + 1.89063i 0.213914 + 0.254932i
\(56\) −1.97125 + 6.99958i −0.263419 + 0.935358i
\(57\) 4.86993 + 2.92143i 0.645039 + 0.386953i
\(58\) 3.18810 + 2.79518i 0.418618 + 0.367025i
\(59\) 3.55958 + 10.9552i 0.463417 + 1.42625i 0.860962 + 0.508669i \(0.169862\pi\)
−0.397545 + 0.917583i \(0.630138\pi\)
\(60\) −2.57862 + 7.30416i −0.332898 + 0.942963i
\(61\) 0.600696 1.84875i 0.0769113 0.236709i −0.905208 0.424969i \(-0.860285\pi\)
0.982119 + 0.188261i \(0.0602849\pi\)
\(62\) 8.76845 5.21817i 1.11359 0.662708i
\(63\) −5.34997 + 5.55587i −0.674033 + 0.699974i
\(64\) −6.82426 4.17486i −0.853032 0.521858i
\(65\) −1.62326 + 6.51059i −0.201341 + 0.807539i
\(66\) −2.70359 0.00953207i −0.332788 0.00117332i
\(67\) 1.29088 0.937878i 0.157706 0.114580i −0.506134 0.862455i \(-0.668926\pi\)
0.663840 + 0.747875i \(0.268926\pi\)
\(68\) 6.21415 2.96591i 0.753576 0.359669i
\(69\) 7.45444 0.657531i 0.897410 0.0791574i
\(70\) 6.47227 + 4.92033i 0.773584 + 0.588092i
\(71\) −9.09695 6.60932i −1.07961 0.784382i −0.101995 0.994785i \(-0.532522\pi\)
−0.977615 + 0.210403i \(0.932522\pi\)
\(72\) −4.28785 7.32218i −0.505328 0.862927i
\(73\) −9.87014 3.20700i −1.15521 0.375351i −0.332108 0.943241i \(-0.607760\pi\)
−0.823104 + 0.567890i \(0.807760\pi\)
\(74\) −2.00001 8.83365i −0.232497 1.02689i
\(75\) 6.54004 + 5.67696i 0.755178 + 0.655519i
\(76\) 2.82458 + 5.91803i 0.324001 + 0.678845i
\(77\) −0.876900 + 2.69882i −0.0999320 + 0.307559i
\(78\) −4.29942 5.96173i −0.486814 0.675033i
\(79\) −0.915625 + 1.26025i −0.103016 + 0.141789i −0.857413 0.514629i \(-0.827929\pi\)
0.754397 + 0.656419i \(0.227929\pi\)
\(80\) −7.14051 + 5.38638i −0.798333 + 0.602216i
\(81\) −0.339725 8.99359i −0.0377472 0.999287i
\(82\) −0.483119 2.13384i −0.0533516 0.235643i
\(83\) 3.91247 + 5.38506i 0.429450 + 0.591087i 0.967827 0.251617i \(-0.0809624\pi\)
−0.538377 + 0.842704i \(0.680962\pi\)
\(84\) −8.69320 + 1.93602i −0.948506 + 0.211237i
\(85\) −0.537022 7.67964i −0.0582482 0.832974i
\(86\) −1.25465 + 13.6731i −0.135293 + 1.47441i
\(87\) −1.16453 + 5.06057i −0.124850 + 0.542550i
\(88\) −2.59638 1.73343i −0.276775 0.184785i
\(89\) −9.75711 3.17028i −1.03425 0.336049i −0.257782 0.966203i \(-0.582992\pi\)
−0.776470 + 0.630154i \(0.782992\pi\)
\(90\) −9.37417 + 1.45771i −0.988124 + 0.153656i
\(91\) −7.33732 + 2.38404i −0.769160 + 0.249915i
\(92\) 7.59495 + 4.12126i 0.791829 + 0.429671i
\(93\) 10.7165 + 6.42875i 1.11125 + 0.666630i
\(94\) −11.5420 10.1195i −1.19047 1.04375i
\(95\) 7.31370 0.511433i 0.750369 0.0524719i
\(96\) 0.542380 9.78294i 0.0553564 0.998467i
\(97\) 5.79317 7.97361i 0.588207 0.809597i −0.406358 0.913714i \(-0.633201\pi\)
0.994565 + 0.104116i \(0.0332015\pi\)
\(98\) 0.0503997 0.549251i 0.00509114 0.0554827i
\(99\) −1.55869 2.92142i −0.156654 0.293614i
\(100\) 2.67482 + 9.63563i 0.267482 + 0.963563i
\(101\) 3.49582i 0.347847i 0.984759 + 0.173923i \(0.0556445\pi\)
−0.984759 + 0.173923i \(0.944355\pi\)
\(102\) 6.80506 + 4.98091i 0.673801 + 0.493184i
\(103\) 11.4232 + 8.29944i 1.12556 + 0.817769i 0.985043 0.172309i \(-0.0551229\pi\)
0.140519 + 0.990078i \(0.455123\pi\)
\(104\) −0.336401 8.48076i −0.0329868 0.831607i
\(105\) −1.55066 + 9.83592i −0.151329 + 0.959887i
\(106\) 12.1467 13.8541i 1.17979 1.34563i
\(107\) 17.4584i 1.68777i −0.536527 0.843883i \(-0.680264\pi\)
0.536527 0.843883i \(-0.319736\pi\)
\(108\) 5.40879 8.87384i 0.520461 0.853885i
\(109\) 5.59363 + 17.2154i 0.535772 + 1.64894i 0.741975 + 0.670428i \(0.233889\pi\)
−0.206203 + 0.978509i \(0.566111\pi\)
\(110\) −2.86757 + 1.98984i −0.273412 + 0.189724i
\(111\) 8.36666 7.28349i 0.794128 0.691319i
\(112\) −9.60275 3.68063i −0.907374 0.347787i
\(113\) −0.317738 0.977897i −0.0298903 0.0919928i 0.934998 0.354652i \(-0.115401\pi\)
−0.964889 + 0.262659i \(0.915401\pi\)
\(114\) −4.74357 + 6.48079i −0.444276 + 0.606981i
\(115\) 7.40076 6.20999i 0.690124 0.579084i
\(116\) −4.34843 + 4.12858i −0.403741 + 0.383329i
\(117\) 3.93480 8.09680i 0.363773 0.748550i
\(118\) −15.8882 + 3.59723i −1.46263 + 0.331152i
\(119\) 7.16099 5.20276i 0.656447 0.476937i
\(120\) −9.95320 4.57535i −0.908599 0.417670i
\(121\) 7.91361 + 5.74957i 0.719419 + 0.522688i
\(122\) 2.52597 + 1.08487i 0.228690 + 0.0982192i
\(123\) 2.02103 1.75938i 0.182230 0.158638i
\(124\) 6.21561 + 13.0229i 0.558179 + 1.16949i
\(125\) 11.1191 + 1.16862i 0.994522 + 0.104525i
\(126\) −7.13296 8.25231i −0.635455 0.735174i
\(127\) −4.86314 + 14.9672i −0.431534 + 1.32813i 0.465063 + 0.885278i \(0.346032\pi\)
−0.896597 + 0.442848i \(0.853968\pi\)
\(128\) 6.76132 9.07108i 0.597622 0.801778i
\(129\) −15.4749 + 6.58172i −1.36249 + 0.579488i
\(130\) −8.95907 3.12738i −0.785763 0.274289i
\(131\) 2.32741 1.69096i 0.203347 0.147740i −0.481452 0.876473i \(-0.659890\pi\)
0.684798 + 0.728733i \(0.259890\pi\)
\(132\) 0.362799 3.80622i 0.0315776 0.331289i
\(133\) 4.95485 + 6.81976i 0.429640 + 0.591348i
\(134\) 1.15399 + 1.93914i 0.0996900 + 0.167516i
\(135\) −7.01229 9.26433i −0.603521 0.797347i
\(136\) 3.37384 + 9.13464i 0.289305 + 0.783289i
\(137\) 2.15741 + 6.63983i 0.184320 + 0.567279i 0.999936 0.0113150i \(-0.00360174\pi\)
−0.815616 + 0.578594i \(0.803602\pi\)
\(138\) −0.0373128 + 10.5830i −0.00317628 + 0.900888i
\(139\) 0.828998 + 0.269358i 0.0703147 + 0.0228466i 0.343963 0.938983i \(-0.388230\pi\)
−0.273648 + 0.961830i \(0.588230\pi\)
\(140\) −7.76568 + 8.47903i −0.656320 + 0.716609i
\(141\) 4.21599 18.3210i 0.355050 1.54291i
\(142\) 10.4835 11.9571i 0.879752 1.00342i
\(143\) 3.31206i 0.276968i
\(144\) 10.8659 5.09235i 0.905492 0.424363i
\(145\) 2.51134 + 6.21576i 0.208555 + 0.516191i
\(146\) 5.79190 13.4857i 0.479341 1.11608i
\(147\) 0.621630 0.264389i 0.0512711 0.0218064i
\(148\) 12.6989 1.67507i 1.04384 0.137690i
\(149\) 1.89407i 0.155168i −0.996986 0.0775839i \(-0.975279\pi\)
0.996986 0.0775839i \(-0.0247206\pi\)
\(150\) −8.84000 + 8.47670i −0.721783 + 0.692120i
\(151\) 8.84470i 0.719771i 0.932996 + 0.359886i \(0.117184\pi\)
−0.932996 + 0.359886i \(0.882816\pi\)
\(152\) −8.69936 + 3.21308i −0.705611 + 0.260615i
\(153\) −1.42287 + 10.2300i −0.115032 + 0.827046i
\(154\) −3.68742 1.58369i −0.297141 0.127618i
\(155\) 16.0941 1.12543i 1.29271 0.0903968i
\(156\) 8.95149 5.28445i 0.716693 0.423094i
\(157\) 4.69192i 0.374456i −0.982316 0.187228i \(-0.940050\pi\)
0.982316 0.187228i \(-0.0599503\pi\)
\(158\) −1.65648 1.45233i −0.131783 0.115541i
\(159\) 21.9911 + 5.06054i 1.74401 + 0.401327i
\(160\) −6.66288 10.7520i −0.526747 0.850022i
\(161\) 10.5644 + 3.43258i 0.832590 + 0.270525i
\(162\) 12.7095 + 0.683776i 0.998556 + 0.0537225i
\(163\) −5.50532 16.9436i −0.431210 1.32713i −0.896921 0.442191i \(-0.854201\pi\)
0.465711 0.884937i \(-0.345799\pi\)
\(164\) 3.06751 0.404627i 0.239532 0.0315960i
\(165\) −3.81023 1.93799i −0.296626 0.150872i
\(166\) −8.08935 + 4.81403i −0.627856 + 0.373641i
\(167\) −7.71321 10.6163i −0.596866 0.821516i 0.398551 0.917146i \(-0.369513\pi\)
−0.995417 + 0.0956305i \(0.969513\pi\)
\(168\) −1.60310 12.4928i −0.123682 0.963840i
\(169\) −3.23239 + 2.34847i −0.248645 + 0.180651i
\(170\) 10.8846 + 0.236126i 0.834812 + 0.0181100i
\(171\) −9.74253 1.35507i −0.745030 0.103625i
\(172\) −19.0936 3.53385i −1.45588 0.269454i
\(173\) −2.50417 + 7.70704i −0.190388 + 0.585955i −0.999999 0.00101136i \(-0.999678\pi\)
0.809611 + 0.586967i \(0.199678\pi\)
\(174\) −6.97630 2.29396i −0.528872 0.173905i
\(175\) 5.63527 + 11.5539i 0.425986 + 0.873396i
\(176\) 2.77671 3.43246i 0.209302 0.258732i
\(177\) −13.1001 15.0483i −0.984665 1.13110i
\(178\) 5.72557 13.3312i 0.429150 0.999218i
\(179\) 11.4262 + 8.30164i 0.854036 + 0.620493i 0.926256 0.376895i \(-0.123008\pi\)
−0.0722200 + 0.997389i \(0.523008\pi\)
\(180\) −0.841501 13.3900i −0.0627218 0.998031i
\(181\) −20.1066 + 14.6083i −1.49451 + 1.08582i −0.522005 + 0.852942i \(0.674816\pi\)
−0.972505 + 0.232882i \(0.925184\pi\)
\(182\) −2.40926 10.6412i −0.178586 0.788779i
\(183\) 0.295836 + 3.35390i 0.0218688 + 0.247927i
\(184\) −6.78543 + 10.1634i −0.500228 + 0.749254i
\(185\) 3.46448 13.8954i 0.254714 1.02161i
\(186\) −10.4384 + 14.2613i −0.765384 + 1.04569i
\(187\) 1.17426 + 3.61400i 0.0858705 + 0.264282i
\(188\) 15.7428 14.9469i 1.14816 1.09011i
\(189\) 4.76086 12.4821i 0.346302 0.907942i
\(190\) −0.224874 + 10.3659i −0.0163141 + 0.752025i
\(191\) −4.61987 14.2185i −0.334282 1.02881i −0.967075 0.254493i \(-0.918091\pi\)
0.632792 0.774322i \(-0.281909\pi\)
\(192\) 13.7072 + 2.02805i 0.989231 + 0.146362i
\(193\) 16.1589i 1.16314i −0.813495 0.581572i \(-0.802438\pi\)
0.813495 0.581572i \(-0.197562\pi\)
\(194\) 10.4806 + 9.18890i 0.752462 + 0.659725i
\(195\) −1.82625 11.4775i −0.130781 0.821921i
\(196\) 0.766995 + 0.141955i 0.0547854 + 0.0101397i
\(197\) −20.5862 14.9567i −1.46670 1.06562i −0.981553 0.191192i \(-0.938765\pi\)
−0.485151 0.874431i \(-0.661235\pi\)
\(198\) 4.31565 1.81757i 0.306700 0.129169i
\(199\) 7.88619i 0.559037i −0.960140 0.279518i \(-0.909825\pi\)
0.960140 0.279518i \(-0.0901748\pi\)
\(200\) −13.9155 + 2.52176i −0.983973 + 0.178316i
\(201\) −1.42171 + 2.36995i −0.100280 + 0.167164i
\(202\) −4.92315 0.451752i −0.346392 0.0317852i
\(203\) −4.53067 + 6.23593i −0.317991 + 0.437677i
\(204\) −7.89400 + 8.93987i −0.552691 + 0.625916i
\(205\) 0.836873 3.35653i 0.0584497 0.234430i
\(206\) −13.1643 + 15.0148i −0.917198 + 1.04613i
\(207\) −11.4357 + 6.10141i −0.794839 + 0.424077i
\(208\) 11.9869 + 0.622186i 0.831142 + 0.0431409i
\(209\) −3.44179 + 1.11831i −0.238074 + 0.0773549i
\(210\) −13.6515 3.45485i −0.942044 0.238408i
\(211\) −4.87585 1.58426i −0.335667 0.109065i 0.136334 0.990663i \(-0.456468\pi\)
−0.472001 + 0.881598i \(0.656468\pi\)
\(212\) 17.9410 + 18.8964i 1.23220 + 1.29781i
\(213\) 18.9799 + 4.36762i 1.30048 + 0.299264i
\(214\) 24.5866 + 2.25609i 1.68070 + 0.154223i
\(215\) −11.5045 + 18.4110i −0.784598 + 1.25562i
\(216\) 11.7980 + 8.76392i 0.802755 + 0.596309i
\(217\) 10.9034 + 15.0072i 0.740169 + 1.01876i
\(218\) −24.9673 + 5.65280i −1.69100 + 0.382856i
\(219\) 17.9058 1.57941i 1.20996 0.106727i
\(220\) −2.43172 4.29553i −0.163947 0.289605i
\(221\) −6.07246 + 8.35803i −0.408478 + 0.562222i
\(222\) 9.17613 + 12.7240i 0.615861 + 0.853976i
\(223\) −4.40201 + 13.5480i −0.294780 + 0.907240i 0.688515 + 0.725222i \(0.258263\pi\)
−0.983295 + 0.182018i \(0.941737\pi\)
\(224\) 6.42435 13.0479i 0.429245 0.871799i
\(225\) −14.2724 4.61489i −0.951497 0.307659i
\(226\) 1.41823 0.321099i 0.0943392 0.0213592i
\(227\) −10.7472 3.49199i −0.713319 0.231771i −0.0701948 0.997533i \(-0.522362\pi\)
−0.643124 + 0.765762i \(0.722362\pi\)
\(228\) −8.51388 7.51784i −0.563845 0.497881i
\(229\) 1.07109 + 0.778193i 0.0707797 + 0.0514245i 0.622612 0.782530i \(-0.286071\pi\)
−0.551833 + 0.833955i \(0.686071\pi\)
\(230\) 7.78913 + 11.2250i 0.513600 + 0.740152i
\(231\) −0.431863 4.89604i −0.0284145 0.322136i
\(232\) −5.25233 6.65740i −0.344832 0.437080i
\(233\) 1.96994 1.43124i 0.129055 0.0937639i −0.521385 0.853321i \(-0.674584\pi\)
0.650440 + 0.759558i \(0.274584\pi\)
\(234\) 10.8942 + 6.58770i 0.712178 + 0.430651i
\(235\) −9.09191 22.5032i −0.593091 1.46795i
\(236\) −3.01279 22.8402i −0.196116 1.48677i
\(237\) 0.605070 2.62939i 0.0393035 0.170797i
\(238\) 6.40165 + 10.7571i 0.414957 + 0.697282i
\(239\) −3.38732 + 10.4251i −0.219108 + 0.674344i 0.779729 + 0.626117i \(0.215357\pi\)
−0.998836 + 0.0482265i \(0.984643\pi\)
\(240\) 7.72967 13.4258i 0.498948 0.866632i
\(241\) −0.276512 0.851015i −0.0178117 0.0548187i 0.941756 0.336298i \(-0.109175\pi\)
−0.959567 + 0.281479i \(0.909175\pi\)
\(242\) −9.11975 + 10.4017i −0.586240 + 0.668647i
\(243\) 6.63825 + 14.1044i 0.425844 + 0.904797i
\(244\) −1.85424 + 3.41712i −0.118705 + 0.218759i
\(245\) 0.462136 0.739575i 0.0295248 0.0472497i
\(246\) 2.21656 + 3.07357i 0.141323 + 0.195964i
\(247\) −7.95976 5.78310i −0.506467 0.367970i
\(248\) −19.1433 + 7.07052i −1.21560 + 0.448979i
\(249\) −9.88655 5.93085i −0.626534 0.375853i
\(250\) −3.08265 + 15.5080i −0.194964 + 0.980810i
\(251\) 4.05849 0.256170 0.128085 0.991763i \(-0.459117\pi\)
0.128085 + 0.991763i \(0.459117\pi\)
\(252\) 12.5435 8.97891i 0.790165 0.565618i
\(253\) −2.80300 + 3.85800i −0.176223 + 0.242550i
\(254\) −20.4498 8.78291i −1.28314 0.551089i
\(255\) 6.06199 + 11.8764i 0.379617 + 0.743727i
\(256\) 11.9010 + 10.6942i 0.743815 + 0.668386i
\(257\) 3.37445 0.210493 0.105246 0.994446i \(-0.466437\pi\)
0.105246 + 0.994446i \(0.466437\pi\)
\(258\) −7.26925 22.6438i −0.452563 1.40974i
\(259\) 15.6598 5.08819i 0.973055 0.316165i
\(260\) 5.56203 12.2129i 0.344942 0.757412i
\(261\) −1.57445 8.85537i −0.0974562 0.548133i
\(262\) 2.08062 + 3.49620i 0.128541 + 0.215996i
\(263\) −17.6099 + 5.72179i −1.08587 + 0.352821i −0.796649 0.604442i \(-0.793396\pi\)
−0.289221 + 0.957262i \(0.593396\pi\)
\(264\) 5.31341 + 1.00279i 0.327017 + 0.0617176i
\(265\) 27.0111 10.9132i 1.65928 0.670393i
\(266\) −10.2445 + 6.09660i −0.628133 + 0.373807i
\(267\) 17.7008 1.56133i 1.08327 0.0955516i
\(268\) −2.88001 + 1.37458i −0.175925 + 0.0839658i
\(269\) 8.22156 + 11.3160i 0.501278 + 0.689949i 0.982418 0.186694i \(-0.0597773\pi\)
−0.481140 + 0.876644i \(0.659777\pi\)
\(270\) 13.9531 8.67818i 0.849159 0.528137i
\(271\) 1.77357 2.44111i 0.107737 0.148287i −0.751744 0.659455i \(-0.770787\pi\)
0.859481 + 0.511168i \(0.170787\pi\)
\(272\) −13.3003 + 3.57094i −0.806447 + 0.216520i
\(273\) 10.0787 8.77386i 0.609988 0.531018i
\(274\) −9.62964 + 2.18023i −0.581748 + 0.131713i
\(275\) −5.46500 + 0.768069i −0.329552 + 0.0463163i
\(276\) −14.8992 1.42016i −0.896829 0.0854834i
\(277\) 15.8065 + 5.13586i 0.949723 + 0.308584i 0.742603 0.669732i \(-0.233591\pi\)
0.207120 + 0.978316i \(0.433591\pi\)
\(278\) −0.486464 + 1.13267i −0.0291762 + 0.0679328i
\(279\) −21.4389 2.98190i −1.28351 0.178521i
\(280\) −10.9375 12.0321i −0.653639 0.719055i
\(281\) 8.41043 + 11.5760i 0.501724 + 0.690564i 0.982496 0.186282i \(-0.0596437\pi\)
−0.480772 + 0.876845i \(0.659644\pi\)
\(282\) 25.2566 + 8.30492i 1.50401 + 0.494551i
\(283\) −23.9062 + 17.3689i −1.42108 + 1.03247i −0.429486 + 0.903074i \(0.641305\pi\)
−0.991592 + 0.129400i \(0.958695\pi\)
\(284\) 15.4844 + 16.3090i 0.918831 + 0.967761i
\(285\) −11.3104 + 5.77313i −0.669973 + 0.341971i
\(286\) 4.66436 + 0.428006i 0.275810 + 0.0253085i
\(287\) 3.78275 1.22909i 0.223289 0.0725510i
\(288\) 5.76738 + 15.9605i 0.339846 + 0.940481i
\(289\) −1.59049 + 4.89504i −0.0935585 + 0.287944i
\(290\) −9.07816 + 2.73347i −0.533088 + 0.160515i
\(291\) −3.82828 + 16.6362i −0.224418 + 0.975229i
\(292\) 18.2433 + 9.89942i 1.06761 + 0.579319i
\(293\) −0.613813 −0.0358593 −0.0179297 0.999839i \(-0.505707\pi\)
−0.0179297 + 0.999839i \(0.505707\pi\)
\(294\) 0.292007 + 0.909605i 0.0170302 + 0.0530492i
\(295\) −24.9922 6.23123i −1.45510 0.362796i
\(296\) 0.717970 + 18.1002i 0.0417312 + 1.05205i
\(297\) 4.46480 + 3.59975i 0.259074 + 0.208879i
\(298\) 2.66741 + 0.244763i 0.154519 + 0.0141788i
\(299\) −12.9649 −0.749778
\(300\) −10.7953 13.5448i −0.623270 0.782007i
\(301\) −24.9616 −1.43876
\(302\) −12.4560 1.14297i −0.716760 0.0657705i
\(303\) −2.36982 5.57191i −0.136143 0.320098i
\(304\) −3.40078 12.6665i −0.195048 0.726474i
\(305\) 2.79400 + 3.32975i 0.159984 + 0.190661i
\(306\) −14.2230 3.32581i −0.813075 0.190124i
\(307\) 14.6167 0.834219 0.417109 0.908856i \(-0.363043\pi\)
0.417109 + 0.908856i \(0.363043\pi\)
\(308\) 2.70682 4.98833i 0.154236 0.284236i
\(309\) −23.8334 5.48450i −1.35584 0.312002i
\(310\) −0.494846 + 22.8107i −0.0281054 + 1.29556i
\(311\) −2.17174 + 6.68393i −0.123148 + 0.379011i −0.993559 0.113315i \(-0.963853\pi\)
0.870411 + 0.492326i \(0.163853\pi\)
\(312\) 6.28530 + 13.2892i 0.355835 + 0.752356i
\(313\) −8.47040 + 2.75220i −0.478775 + 0.155564i −0.538455 0.842654i \(-0.680992\pi\)
0.0596800 + 0.998218i \(0.480992\pi\)
\(314\) 6.60762 + 0.606321i 0.372890 + 0.0342167i
\(315\) −4.19622 16.7285i −0.236430 0.942542i
\(316\) 2.25937 2.14514i 0.127100 0.120674i
\(317\) −2.49215 + 1.81065i −0.139973 + 0.101696i −0.655568 0.755136i \(-0.727571\pi\)
0.515595 + 0.856832i \(0.327571\pi\)
\(318\) −9.96858 + 30.3160i −0.559010 + 1.70004i
\(319\) −1.94504 2.67712i −0.108902 0.149890i
\(320\) 16.0031 7.99387i 0.894598 0.446871i
\(321\) 11.8351 + 27.8265i 0.660569 + 1.55313i
\(322\) −6.19929 + 14.4342i −0.345473 + 0.804387i
\(323\) 10.7358 + 3.48826i 0.597353 + 0.194092i
\(324\) −2.60537 + 17.8104i −0.144743 + 0.989469i
\(325\) −10.4225 10.7928i −0.578138 0.598677i
\(326\) 24.5731 5.56356i 1.36098 0.308137i
\(327\) −20.5859 23.6473i −1.13840 1.30770i
\(328\) 0.173431 + 4.37225i 0.00957614 + 0.241417i
\(329\) 16.4026 22.5762i 0.904304 1.24467i
\(330\) 3.22164 5.11550i 0.177346 0.281599i
\(331\) −2.71648 3.73892i −0.149311 0.205510i 0.727809 0.685780i \(-0.240539\pi\)
−0.877121 + 0.480270i \(0.840539\pi\)
\(332\) −5.73423 12.0143i −0.314707 0.659371i
\(333\) −8.39794 + 17.2808i −0.460204 + 0.946981i
\(334\) 15.9477 9.49058i 0.872619 0.519301i
\(335\) 0.248888 + 3.55921i 0.0135982 + 0.194460i
\(336\) 17.8007 0.643239i 0.971109 0.0350916i
\(337\) 21.9091 7.11871i 1.19347 0.387781i 0.356114 0.934443i \(-0.384102\pi\)
0.837354 + 0.546662i \(0.184102\pi\)
\(338\) −2.88963 4.85565i −0.157175 0.264112i
\(339\) 1.16935 + 1.34325i 0.0635106 + 0.0729555i
\(340\) −1.73912 + 15.2983i −0.0943168 + 0.829664i
\(341\) −7.57382 + 2.46088i −0.410146 + 0.133264i
\(342\) 3.16733 13.5453i 0.171270 0.732444i
\(343\) 18.9996 1.02588
\(344\) 7.44411 26.4328i 0.401360 1.42516i
\(345\) −7.58614 + 14.9150i −0.408424 + 0.802994i
\(346\) −10.5302 4.52257i −0.566107 0.243135i
\(347\) −8.75552 + 12.0509i −0.470021 + 0.646928i −0.976549 0.215295i \(-0.930929\pi\)
0.506528 + 0.862224i \(0.330929\pi\)
\(348\) 4.13210 9.52826i 0.221504 0.510768i
\(349\) 14.8560 0.795226 0.397613 0.917553i \(-0.369839\pi\)
0.397613 + 0.917553i \(0.369839\pi\)
\(350\) −16.9996 + 6.44306i −0.908667 + 0.344396i
\(351\) −0.782762 + 15.5727i −0.0417808 + 0.831211i
\(352\) 4.47510 + 4.35400i 0.238524 + 0.232069i
\(353\) 8.40220 + 6.10456i 0.447204 + 0.324913i 0.788491 0.615046i \(-0.210863\pi\)
−0.341287 + 0.939959i \(0.610863\pi\)
\(354\) 22.8854 16.5042i 1.21634 0.877189i
\(355\) 23.3125 9.41889i 1.23730 0.499903i
\(356\) 18.0344 + 9.78605i 0.955823 + 0.518660i
\(357\) −7.88679 + 13.1470i −0.417413 + 0.695814i
\(358\) −13.1677 + 15.0187i −0.695937 + 0.793764i
\(359\) −1.48956 4.58440i −0.0786160 0.241955i 0.904023 0.427484i \(-0.140600\pi\)
−0.982639 + 0.185529i \(0.940600\pi\)
\(360\) 18.9658 + 0.545258i 0.999587 + 0.0287376i
\(361\) 2.54928 7.84589i 0.134173 0.412942i
\(362\) −17.9745 30.2038i −0.944719 1.58748i
\(363\) −16.5110 3.79947i −0.866601 0.199421i
\(364\) 15.2973 2.01783i 0.801798 0.105763i
\(365\) 17.7769 14.9166i 0.930484 0.780771i
\(366\) −4.76152 0.0167878i −0.248889 0.000877510i
\(367\) 10.4183 7.56936i 0.543832 0.395117i −0.281674 0.959510i \(-0.590890\pi\)
0.825506 + 0.564393i \(0.190890\pi\)
\(368\) −13.4362 10.8693i −0.700410 0.566600i
\(369\) −2.02859 + 4.17431i −0.105604 + 0.217306i
\(370\) 19.1211 + 6.67467i 0.994058 + 0.347000i
\(371\) 27.0987 + 19.6884i 1.40690 + 1.02217i
\(372\) −18.7352 16.5434i −0.971374 0.857733i
\(373\) −27.0471 8.78812i −1.40044 0.455032i −0.491109 0.871098i \(-0.663409\pi\)
−0.909334 + 0.416066i \(0.863409\pi\)
\(374\) −5.24134 + 1.18668i −0.271023 + 0.0613619i
\(375\) −18.5147 + 5.67501i −0.956095 + 0.293056i
\(376\) 19.0152 + 24.1021i 0.980636 + 1.24297i
\(377\) 2.78008 8.55620i 0.143181 0.440666i
\(378\) 16.9633 + 8.31773i 0.872500 + 0.427818i
\(379\) −16.6749 + 22.9510i −0.856531 + 1.17891i 0.125855 + 0.992049i \(0.459833\pi\)
−0.982386 + 0.186865i \(0.940167\pi\)
\(380\) −14.5693 1.65624i −0.747388 0.0849636i
\(381\) −2.39504 27.1527i −0.122702 1.39107i
\(382\) 20.6209 4.66874i 1.05506 0.238874i
\(383\) 9.67456 + 13.3159i 0.494347 + 0.680410i 0.981182 0.193084i \(-0.0618488\pi\)
−0.486835 + 0.873494i \(0.661849\pi\)
\(384\) −4.62742 + 19.0417i −0.236142 + 0.971719i
\(385\) −4.07869 4.86078i −0.207869 0.247728i
\(386\) 22.7566 + 2.08816i 1.15828 + 0.106285i
\(387\) 20.2033 20.9809i 1.02699 1.06652i
\(388\) −14.2951 + 13.5723i −0.725722 + 0.689030i
\(389\) 7.00832 + 2.27714i 0.355336 + 0.115456i 0.481245 0.876586i \(-0.340185\pi\)
−0.125909 + 0.992042i \(0.540185\pi\)
\(390\) 16.3997 1.08871i 0.830433 0.0551291i
\(391\) 14.1468 4.59658i 0.715436 0.232459i
\(392\) −0.299032 + 1.06181i −0.0151034 + 0.0536296i
\(393\) −2.56330 + 4.27295i −0.129302 + 0.215542i
\(394\) 23.7238 27.0586i 1.19519 1.36319i
\(395\) −1.30485 3.22961i −0.0656542 0.162499i
\(396\) 2.00199 + 6.31259i 0.100604 + 0.317220i
\(397\) −12.8771 + 17.7238i −0.646281 + 0.889530i −0.998931 0.0462254i \(-0.985281\pi\)
0.352650 + 0.935755i \(0.385281\pi\)
\(398\) 11.1061 + 1.01910i 0.556698 + 0.0510831i
\(399\) −12.5206 7.51097i −0.626812 0.376019i
\(400\) −1.75314 19.9230i −0.0876572 0.996151i
\(401\) 19.3256i 0.965074i −0.875875 0.482537i \(-0.839715\pi\)
0.875875 0.482537i \(-0.160285\pi\)
\(402\) −3.15387 2.30846i −0.157301 0.115135i
\(403\) −17.5158 12.7260i −0.872525 0.633926i
\(404\) 1.27240 6.87488i 0.0633044 0.342038i
\(405\) 17.4570 + 10.0126i 0.867447 + 0.497529i
\(406\) −8.19656 7.18638i −0.406789 0.356654i
\(407\) 7.06883i 0.350389i
\(408\) −11.5699 12.2724i −0.572795 0.607573i
\(409\) 3.76500 + 11.5875i 0.186167 + 0.572965i 0.999967 0.00818176i \(-0.00260436\pi\)
−0.813799 + 0.581146i \(0.802604\pi\)
\(410\) 4.61885 + 1.61232i 0.228109 + 0.0796267i
\(411\) −7.93980 9.12057i −0.391641 0.449884i
\(412\) −19.4441 20.4795i −0.957940 1.00895i
\(413\) −9.15164 28.1658i −0.450323 1.38595i
\(414\) −7.11479 16.8934i −0.349673 0.830264i
\(415\) −14.8477 + 1.03827i −0.728844 + 0.0509666i
\(416\) −2.42525 + 16.8007i −0.118908 + 0.823722i
\(417\) −1.50392 + 0.132656i −0.0736473 + 0.00649617i
\(418\) −1.13014 4.99158i −0.0552768 0.244146i
\(419\) 30.6972 22.3028i 1.49966 1.08956i 0.529140 0.848535i \(-0.322515\pi\)
0.970518 0.241030i \(-0.0774854\pi\)
\(420\) 6.62960 18.7789i 0.323491 0.916317i
\(421\) −6.60544 4.79913i −0.321929 0.233895i 0.415069 0.909790i \(-0.363757\pi\)
−0.736998 + 0.675895i \(0.763757\pi\)
\(422\) 2.86119 6.66191i 0.139281 0.324297i
\(423\) 5.70006 + 32.0595i 0.277146 + 1.55878i
\(424\) −28.9302 + 22.8244i −1.40498 + 1.10845i
\(425\) 15.1992 + 8.08151i 0.737269 + 0.392011i
\(426\) −8.60361 + 26.1649i −0.416846 + 1.26770i
\(427\) −1.54438 + 4.75312i −0.0747380 + 0.230020i
\(428\) −6.35448 + 34.3337i −0.307155 + 1.65958i
\(429\) 2.24525 + 5.27902i 0.108402 + 0.254874i
\(430\) −24.4415 18.5809i −1.17867 0.896050i
\(431\) −4.82714 + 3.50712i −0.232515 + 0.168932i −0.697942 0.716154i \(-0.745901\pi\)
0.465427 + 0.885086i \(0.345901\pi\)
\(432\) −13.8668 + 15.4826i −0.667168 + 0.744907i
\(433\) −19.9211 27.4191i −0.957349 1.31768i −0.948185 0.317719i \(-0.897083\pi\)
−0.00916382 0.999958i \(-0.502917\pi\)
\(434\) −22.5436 + 13.4159i −1.08213 + 0.643982i
\(435\) −8.21644 8.20472i −0.393948 0.393386i
\(436\) −4.73439 35.8918i −0.226736 1.71891i
\(437\) 4.37755 + 13.4727i 0.209407 + 0.644487i
\(438\) −0.0896267 + 25.4208i −0.00428253 + 1.21465i
\(439\) −10.5301 3.42144i −0.502575 0.163296i 0.0467479 0.998907i \(-0.485114\pi\)
−0.549323 + 0.835610i \(0.685114\pi\)
\(440\) 6.36363 2.86949i 0.303374 0.136798i
\(441\) −0.811572 + 0.842808i −0.0386463 + 0.0401337i
\(442\) −10.9859 9.63191i −0.522544 0.458143i
\(443\) 30.1522i 1.43257i −0.697805 0.716287i \(-0.745840\pi\)
0.697805 0.716287i \(-0.254160\pi\)
\(444\) −19.1049 + 11.2784i −0.906679 + 0.535251i
\(445\) 17.5733 14.7458i 0.833055 0.699018i
\(446\) −18.5107 7.95009i −0.876509 0.376448i
\(447\) 1.28399 + 3.01891i 0.0607307 + 0.142790i
\(448\) 17.5451 + 10.7335i 0.828928 + 0.507112i
\(449\) 9.62451i 0.454209i −0.973870 0.227104i \(-0.927074\pi\)
0.973870 0.227104i \(-0.0729258\pi\)
\(450\) 8.34351 19.5035i 0.393317 0.919403i
\(451\) 1.70753i 0.0804045i
\(452\) 0.268930 + 2.03878i 0.0126494 + 0.0958963i
\(453\) −5.99584 14.0974i −0.281709 0.662353i
\(454\) 6.30658 14.6840i 0.295983 0.689156i
\(455\) 4.17339 16.7387i 0.195652 0.784720i
\(456\) 11.6876 11.0186i 0.547321 0.515992i
\(457\) 35.2802i 1.65034i −0.564885 0.825169i \(-0.691080\pi\)
0.564885 0.825169i \(-0.308920\pi\)
\(458\) −1.23434 + 1.40785i −0.0576770 + 0.0657846i
\(459\) −4.66705 17.2699i −0.217839 0.806092i
\(460\) −16.8146 + 9.51885i −0.783986 + 0.443819i
\(461\) 22.6315 + 7.35342i 1.05405 + 0.342483i 0.784258 0.620434i \(-0.213044\pi\)
0.269796 + 0.962917i \(0.413044\pi\)
\(462\) 6.95089 + 0.0245069i 0.323385 + 0.00114016i
\(463\) −9.54546 29.3779i −0.443615 1.36531i −0.883995 0.467496i \(-0.845156\pi\)
0.440380 0.897811i \(-0.354844\pi\)
\(464\) 10.0543 6.53653i 0.466761 0.303451i
\(465\) −24.8892 + 12.7040i −1.15421 + 0.589136i
\(466\) 1.76105 + 2.95921i 0.0815790 + 0.137083i
\(467\) 10.1374 + 13.9529i 0.469101 + 0.645662i 0.976365 0.216129i \(-0.0693430\pi\)
−0.507264 + 0.861791i \(0.669343\pi\)
\(468\) −10.6853 + 14.4910i −0.493926 + 0.669847i
\(469\) −3.31883 + 2.41127i −0.153250 + 0.111342i
\(470\) 32.8661 9.89610i 1.51600 0.456473i
\(471\) 3.18066 + 7.47835i 0.146557 + 0.344584i
\(472\) 32.5551 1.29134i 1.49847 0.0594389i
\(473\) 3.31148 10.1917i 0.152262 0.468614i
\(474\) 3.62477 + 1.19190i 0.166491 + 0.0547460i
\(475\) −7.69641 + 14.4749i −0.353136 + 0.664156i
\(476\) −15.9765 + 7.62531i −0.732282 + 0.349506i
\(477\) −38.4817 + 6.84191i −1.76195 + 0.313269i
\(478\) −14.2439 6.11755i −0.651501 0.279810i
\(479\) −24.2857 17.6446i −1.10964 0.806201i −0.127033 0.991898i \(-0.540545\pi\)
−0.982607 + 0.185698i \(0.940545\pi\)
\(480\) 17.9086 + 12.6206i 0.817414 + 0.576051i
\(481\) −15.5478 + 11.2961i −0.708919 + 0.515060i
\(482\) 1.23422 0.279437i 0.0562170 0.0127280i
\(483\) −19.1653 + 1.69051i −0.872051 + 0.0769207i
\(484\) −13.4702 14.1875i −0.612281 0.644886i
\(485\) 8.25580 + 20.4337i 0.374877 + 0.927849i
\(486\) −20.7210 + 7.52597i −0.939924 + 0.341385i
\(487\) −4.77812 14.7055i −0.216517 0.666372i −0.999042 0.0437526i \(-0.986069\pi\)
0.782525 0.622619i \(-0.213931\pi\)
\(488\) −4.57270 3.05290i −0.206996 0.138198i
\(489\) 20.2609 + 23.2740i 0.916231 + 1.05249i
\(490\) 0.981821 + 0.746398i 0.0443542 + 0.0337188i
\(491\) −1.30331 4.01117i −0.0588174 0.181021i 0.917331 0.398125i \(-0.130339\pi\)
−0.976149 + 0.217104i \(0.930339\pi\)
\(492\) −4.61494 + 2.72440i −0.208057 + 0.122825i
\(493\) 10.3219i 0.464874i
\(494\) 9.17294 10.4624i 0.412710 0.470724i
\(495\) 7.38681 + 0.505952i 0.332013 + 0.0227408i
\(496\) −7.48357 27.8732i −0.336022 1.25154i
\(497\) 23.3882 + 16.9925i 1.04910 + 0.762218i
\(498\) 9.63001 13.1568i 0.431531 0.589569i
\(499\) 11.8670i 0.531241i 0.964078 + 0.265621i \(0.0855769\pi\)
−0.964078 + 0.265621i \(0.914423\pi\)
\(500\) −21.4415 6.34533i −0.958892 0.283772i
\(501\) 19.4907 + 11.6923i 0.870782 + 0.522375i
\(502\) −0.524465 + 5.71556i −0.0234080 + 0.255098i
\(503\) 13.2547 18.2436i 0.591000 0.813442i −0.403847 0.914826i \(-0.632327\pi\)
0.994847 + 0.101385i \(0.0323273\pi\)
\(504\) 11.0240 + 18.8252i 0.491049 + 0.838543i
\(505\) −6.62910 4.14231i −0.294991 0.184330i
\(506\) −5.07099 4.44602i −0.225433 0.197650i
\(507\) 3.56000 5.93441i 0.158105 0.263557i
\(508\) 15.0116 27.6645i 0.666032 1.22741i
\(509\) 4.18815 1.36081i 0.185637 0.0603170i −0.214723 0.976675i \(-0.568885\pi\)
0.400360 + 0.916358i \(0.368885\pi\)
\(510\) −17.5088 + 7.00234i −0.775304 + 0.310069i
\(511\) 25.3760 + 8.24517i 1.12257 + 0.364745i
\(512\) −16.5985 + 15.3782i −0.733557 + 0.679628i
\(513\) 16.4470 4.44466i 0.726153 0.196237i
\(514\) −0.436069 + 4.75223i −0.0192342 + 0.209612i
\(515\) −29.2739 + 11.8275i −1.28996 + 0.521181i
\(516\) 32.8285 7.31108i 1.44520 0.321852i
\(517\) 7.04173 + 9.69210i 0.309695 + 0.426258i
\(518\) 5.14202 + 22.7112i 0.225927 + 0.997874i
\(519\) −1.23327 13.9817i −0.0541348 0.613727i
\(520\) 16.4806 + 9.41121i 0.722723 + 0.412709i
\(521\) −1.96246 + 2.70110i −0.0859771 + 0.118337i −0.849839 0.527042i \(-0.823301\pi\)
0.763862 + 0.645380i \(0.223301\pi\)
\(522\) 12.6744 1.07295i 0.554746 0.0469617i
\(523\) 5.17387 15.9235i 0.226237 0.696287i −0.771926 0.635712i \(-0.780707\pi\)
0.998164 0.0605749i \(-0.0192934\pi\)
\(524\) −5.19256 + 2.47832i −0.226838 + 0.108266i
\(525\) −16.8144 14.5954i −0.733839 0.636996i
\(526\) −5.78232 25.5393i −0.252121 1.11357i
\(527\) 23.6245 + 7.67607i 1.02910 + 0.334375i
\(528\) −2.09886 + 7.35327i −0.0913413 + 0.320010i
\(529\) −3.50545 2.54686i −0.152411 0.110733i
\(530\) 11.8785 + 39.4499i 0.515969 + 1.71359i
\(531\) 31.0813 + 15.1046i 1.34881 + 0.655482i
\(532\) −7.26196 15.2152i −0.314846 0.659663i
\(533\) −3.75569 + 2.72867i −0.162677 + 0.118192i
\(534\) −0.0886003 + 25.1297i −0.00383411 + 1.08747i
\(535\) 33.1062 + 20.6870i 1.43131 + 0.894378i
\(536\) −1.56364 4.23354i −0.0675391 0.182861i
\(537\) −23.8397 5.48594i −1.02876 0.236736i
\(538\) −16.9988 + 10.1161i −0.732868 + 0.436135i
\(539\) −0.133023 + 0.409402i −0.00572970 + 0.0176342i
\(540\) 10.4184 + 20.7716i 0.448334 + 0.893866i
\(541\) 3.73520 + 11.4958i 0.160589 + 0.494241i 0.998684 0.0512824i \(-0.0163309\pi\)
−0.838096 + 0.545523i \(0.816331\pi\)
\(542\) 3.20862 + 2.81317i 0.137822 + 0.120836i
\(543\) 22.1445 36.9141i 0.950310 1.58414i
\(544\) −3.31019 19.1922i −0.141923 0.822858i
\(545\) −39.2736 9.79195i −1.68229 0.419441i
\(546\) 11.0538 + 15.3276i 0.473058 + 0.655959i
\(547\) 23.6775 + 17.2027i 1.01238 + 0.735535i 0.964706 0.263328i \(-0.0848202\pi\)
0.0476706 + 0.998863i \(0.484820\pi\)
\(548\) −1.82601 13.8431i −0.0780033 0.591350i
\(549\) −2.74514 5.14516i −0.117160 0.219590i
\(550\) −0.375447 7.79559i −0.0160091 0.332405i
\(551\) −9.83002 −0.418773
\(552\) 3.92538 20.7990i 0.167075 0.885266i
\(553\) 2.35406 3.24009i 0.100105 0.137783i
\(554\) −9.27544 + 21.5966i −0.394076 + 0.917552i
\(555\) 3.89772 + 24.4961i 0.165449 + 1.03980i
\(556\) −1.53227 0.831456i −0.0649826 0.0352616i
\(557\) 24.2322 1.02675 0.513375 0.858164i \(-0.328395\pi\)
0.513375 + 0.858164i \(0.328395\pi\)
\(558\) 6.96987 29.8070i 0.295058 1.26183i
\(559\) 27.7083 9.00297i 1.17194 0.380785i
\(560\) 18.3582 13.8483i 0.775775 0.585199i
\(561\) −4.32157 4.96425i −0.182457 0.209591i
\(562\) −17.3892 + 10.3485i −0.733521 + 0.436523i
\(563\) 2.48909 0.808756i 0.104903 0.0340850i −0.256095 0.966652i \(-0.582436\pi\)
0.360998 + 0.932567i \(0.382436\pi\)
\(564\) −14.9596 + 34.4956i −0.629914 + 1.45253i
\(565\) 2.23088 + 0.556218i 0.0938538 + 0.0234003i
\(566\) −21.3713 35.9116i −0.898301 1.50948i
\(567\) 0.873430 + 23.1224i 0.0366806 + 0.971050i
\(568\) −24.9689 + 19.6991i −1.04767 + 0.826556i
\(569\) 9.45200 + 13.0096i 0.396249 + 0.545389i 0.959797 0.280693i \(-0.0905644\pi\)
−0.563549 + 0.826083i \(0.690564\pi\)
\(570\) −6.66867 16.6745i −0.279320 0.698418i
\(571\) 5.15218 7.09137i 0.215612 0.296765i −0.687487 0.726197i \(-0.741286\pi\)
0.903099 + 0.429432i \(0.141286\pi\)
\(572\) −1.20552 + 6.51350i −0.0504053 + 0.272343i
\(573\) 17.0023 + 19.5307i 0.710280 + 0.815909i
\(574\) 1.24209 + 5.48607i 0.0518440 + 0.228984i
\(575\) 3.00656 + 21.3924i 0.125382 + 0.892126i
\(576\) −23.2224 + 6.05967i −0.967600 + 0.252486i
\(577\) 29.7380 + 9.66247i 1.23801 + 0.402254i 0.853610 0.520913i \(-0.174408\pi\)
0.384400 + 0.923167i \(0.374408\pi\)
\(578\) −6.68814 2.87246i −0.278190 0.119478i
\(579\) 10.9542 + 25.7554i 0.455240 + 1.07036i
\(580\) −2.67640 13.1380i −0.111131 0.545525i
\(581\) −10.0589 13.8449i −0.417315 0.574384i
\(582\) −22.9339 7.54119i −0.950643 0.312592i
\(583\) −11.6336 + 8.45234i −0.481816 + 0.350060i
\(584\) −16.2988 + 24.4128i −0.674451 + 1.01021i
\(585\) 10.6914 + 17.0557i 0.442037 + 0.705167i
\(586\) 0.0793209 0.864431i 0.00327671 0.0357093i
\(587\) 18.7813 6.10240i 0.775186 0.251873i 0.105402 0.994430i \(-0.466387\pi\)
0.669783 + 0.742557i \(0.266387\pi\)
\(588\) −1.31873 + 0.293688i −0.0543835 + 0.0121115i
\(589\) −7.31030 + 22.4988i −0.301216 + 0.927046i
\(590\) 12.0051 34.3913i 0.494242 1.41587i
\(591\) 42.9510 + 9.88380i 1.76677 + 0.406565i
\(592\) −25.5833 1.32791i −1.05147 0.0545770i
\(593\) −21.5081 −0.883230 −0.441615 0.897205i \(-0.645594\pi\)
−0.441615 + 0.897205i \(0.645594\pi\)
\(594\) −5.64649 + 5.82258i −0.231678 + 0.238903i
\(595\) 1.38068 + 19.7443i 0.0566023 + 0.809436i
\(596\) −0.689399 + 3.72487i −0.0282389 + 0.152577i
\(597\) 5.34606 + 12.5696i 0.218800 + 0.514440i
\(598\) 1.67541 18.2584i 0.0685124 0.746642i
\(599\) −31.4351 −1.28440 −0.642202 0.766536i \(-0.721979\pi\)
−0.642202 + 0.766536i \(0.721979\pi\)
\(600\) 20.4701 13.4527i 0.835688 0.549205i
\(601\) 21.2706 0.867646 0.433823 0.900998i \(-0.357164\pi\)
0.433823 + 0.900998i \(0.357164\pi\)
\(602\) 3.22570 35.1534i 0.131470 1.43274i
\(603\) 0.659445 4.74120i 0.0268547 0.193077i
\(604\) 3.21928 17.3940i 0.130991 0.707752i
\(605\) −20.2800 + 8.19367i −0.824498 + 0.333120i
\(606\) 8.15315 2.61737i 0.331199 0.106324i
\(607\) −16.3955 −0.665474 −0.332737 0.943020i \(-0.607972\pi\)
−0.332737 + 0.943020i \(0.607972\pi\)
\(608\) 18.2777 3.15246i 0.741257 0.127849i
\(609\) 2.99399 13.0107i 0.121323 0.527219i
\(610\) −5.05033 + 3.50448i −0.204482 + 0.141892i
\(611\) −10.0648 + 30.9764i −0.407180 + 1.25317i
\(612\) 6.52172 19.6004i 0.263625 0.792301i
\(613\) −0.176354 + 0.0573008i −0.00712287 + 0.00231436i −0.312576 0.949893i \(-0.601192\pi\)
0.305453 + 0.952207i \(0.401192\pi\)
\(614\) −1.88886 + 20.5846i −0.0762284 + 0.830729i
\(615\) 0.941525 + 5.91722i 0.0379660 + 0.238605i
\(616\) 6.67526 + 4.45664i 0.268954 + 0.179563i
\(617\) −21.4593 + 15.5911i −0.863918 + 0.627673i −0.928948 0.370210i \(-0.879286\pi\)
0.0650304 + 0.997883i \(0.479286\pi\)
\(618\) 10.8037 32.8558i 0.434589 1.32165i
\(619\) 20.5698 + 28.3119i 0.826771 + 1.13795i 0.988515 + 0.151120i \(0.0482880\pi\)
−0.161744 + 0.986833i \(0.551712\pi\)
\(620\) −32.0604 3.64464i −1.28758 0.146372i
\(621\) 14.0910 17.4772i 0.565453 0.701336i
\(622\) −9.13232 3.92220i −0.366173 0.157266i
\(623\) 25.0854 + 8.15075i 1.00503 + 0.326553i
\(624\) −19.5274 + 7.13425i −0.781723 + 0.285599i
\(625\) −15.3914 + 19.7003i −0.615658 + 0.788014i
\(626\) −2.78132 12.2845i −0.111164 0.490987i
\(627\) 4.72770 4.11564i 0.188806 0.164363i
\(628\) −1.70776 + 9.22714i −0.0681470 + 0.368203i
\(629\) 12.9603 17.8383i 0.516760 0.711259i
\(630\) 24.1009 3.74776i 0.960203 0.149315i
\(631\) 2.41542 + 3.32454i 0.0961564 + 0.132348i 0.854384 0.519642i \(-0.173935\pi\)
−0.758228 + 0.651990i \(0.773935\pi\)
\(632\) 2.72902 + 3.45908i 0.108555 + 0.137595i
\(633\) 8.84548 0.780229i 0.351576 0.0310113i
\(634\) −2.22789 3.74367i −0.0884807 0.148680i
\(635\) −22.6197 26.9571i −0.897637 1.06976i
\(636\) −41.4058 17.9564i −1.64185 0.712016i
\(637\) −1.11305 + 0.361651i −0.0441005 + 0.0143291i
\(638\) 4.02154 2.39324i 0.159214 0.0947494i
\(639\) −33.2125 + 5.90506i −1.31387 + 0.233601i
\(640\) 9.18973 + 23.5701i 0.363256 + 0.931689i
\(641\) 2.25073 0.731308i 0.0888986 0.0288849i −0.264230 0.964460i \(-0.585118\pi\)
0.353129 + 0.935575i \(0.385118\pi\)
\(642\) −40.7175 + 13.0714i −1.60699 + 0.515886i
\(643\) 38.7571 1.52843 0.764216 0.644960i \(-0.223126\pi\)
0.764216 + 0.644960i \(0.223126\pi\)
\(644\) −19.5265 10.5957i −0.769454 0.417530i
\(645\) 5.85584 37.1438i 0.230573 1.46254i
\(646\) −6.29985 + 14.6684i −0.247864 + 0.577119i
\(647\) 10.0605 13.8471i 0.395520 0.544386i −0.564093 0.825711i \(-0.690774\pi\)
0.959612 + 0.281325i \(0.0907740\pi\)
\(648\) −24.7457 5.97071i −0.972104 0.234552i
\(649\) 12.7140 0.499069
\(650\) 16.5463 13.2833i 0.649001 0.521014i
\(651\) −27.5521 16.5282i −1.07985 0.647793i
\(652\) 4.65965 + 35.3252i 0.182486 + 1.38344i
\(653\) 37.2668 + 27.0759i 1.45836 + 1.05956i 0.983786 + 0.179349i \(0.0573990\pi\)
0.474577 + 0.880214i \(0.342601\pi\)
\(654\) 35.9627 25.9352i 1.40625 1.01415i
\(655\) 0.448738 + 6.41714i 0.0175336 + 0.250738i
\(656\) −6.17984 0.320768i −0.241282 0.0125239i
\(657\) −27.4690 + 14.6558i −1.07167 + 0.571777i
\(658\) 29.6744 + 26.0172i 1.15683 + 1.01425i
\(659\) −0.449647 1.38387i −0.0175158 0.0539080i 0.941917 0.335847i \(-0.109022\pi\)
−0.959432 + 0.281939i \(0.909022\pi\)
\(660\) 6.78782 + 5.19809i 0.264216 + 0.202335i
\(661\) −3.12329 + 9.61249i −0.121482 + 0.373883i −0.993244 0.116047i \(-0.962978\pi\)
0.871762 + 0.489930i \(0.162978\pi\)
\(662\) 5.61655 3.34245i 0.218293 0.129908i
\(663\) 4.01284 17.4382i 0.155846 0.677244i
\(664\) 17.6607 6.52293i 0.685369 0.253139i
\(665\) −18.8034 + 1.31489i −0.729166 + 0.0509892i
\(666\) −23.2512 14.0599i −0.900967 0.544811i
\(667\) −10.4795 + 7.61377i −0.405766 + 0.294806i
\(668\) 11.3047 + 23.6855i 0.437392 + 0.916420i
\(669\) −2.16794 24.5780i −0.0838174 0.950240i
\(670\) −5.04458 0.109435i −0.194889 0.00422784i
\(671\) −1.73579 1.26113i −0.0670095 0.0486852i
\(672\) −1.39445 + 25.1518i −0.0537922 + 0.970253i
\(673\) 28.3074 + 9.19764i 1.09117 + 0.354543i 0.798699 0.601731i \(-0.205522\pi\)
0.292472 + 0.956274i \(0.405522\pi\)
\(674\) 7.19402 + 31.7745i 0.277103 + 1.22391i
\(675\) 25.8770 2.31975i 0.996006 0.0892871i
\(676\) 7.21161 3.44198i 0.277370 0.132384i
\(677\) 5.31251 16.3502i 0.204177 0.628391i −0.795570 0.605862i \(-0.792828\pi\)
0.999746 0.0225286i \(-0.00717168\pi\)
\(678\) −2.04281 + 1.47321i −0.0784537 + 0.0565784i
\(679\) −14.8942 + 20.5001i −0.571586 + 0.786721i
\(680\) −21.3197 4.42613i −0.817575 0.169734i
\(681\) 19.4970 1.71976i 0.747127 0.0659015i
\(682\) −2.48692 10.9842i −0.0952290 0.420607i
\(683\) −2.65684 3.65683i −0.101661 0.139925i 0.755156 0.655546i \(-0.227561\pi\)
−0.856817 + 0.515621i \(0.827561\pi\)
\(684\) 18.6665 + 6.21095i 0.713730 + 0.237482i
\(685\) −15.1475 3.77666i −0.578754 0.144299i
\(686\) −2.45526 + 26.7571i −0.0937422 + 1.02159i
\(687\) −2.23473 0.514251i −0.0852602 0.0196199i
\(688\) 36.2633 + 13.8993i 1.38253 + 0.529908i
\(689\) −37.1816 12.0810i −1.41651 0.460251i
\(690\) −20.0244 12.6110i −0.762314 0.480091i
\(691\) −28.6103 + 9.29604i −1.08839 + 0.353638i −0.797623 0.603157i \(-0.793909\pi\)
−0.290764 + 0.956795i \(0.593909\pi\)
\(692\) 7.72990 14.2452i 0.293847 0.541522i
\(693\) 4.00737 + 7.51094i 0.152228 + 0.285317i
\(694\) −15.8399 13.8877i −0.601273 0.527169i
\(695\) −1.49309 + 1.25285i −0.0566361 + 0.0475234i
\(696\) 12.8846 + 7.05053i 0.488391 + 0.267250i
\(697\) 3.13066 4.30898i 0.118582 0.163214i
\(698\) −1.91979 + 20.9217i −0.0726653 + 0.791899i
\(699\) −2.16960 + 3.61665i −0.0820618 + 0.136794i
\(700\) −6.87694 24.7731i −0.259924 0.936335i
\(701\) 21.6074i 0.816100i −0.912960 0.408050i \(-0.866209\pi\)
0.912960 0.408050i \(-0.133791\pi\)
\(702\) −21.8299 3.11477i −0.823916 0.117559i
\(703\) 16.9883 + 12.3427i 0.640725 + 0.465514i
\(704\) −6.71002 + 5.73962i −0.252893 + 0.216320i
\(705\) 29.7463 + 29.7039i 1.12031 + 1.11871i
\(706\) −9.68282 + 11.0439i −0.364418 + 0.415644i
\(707\) 8.98772i 0.338018i
\(708\) 20.2854 + 34.3622i 0.762374 + 1.29141i
\(709\) −9.22940 28.4052i −0.346618 1.06678i −0.960712 0.277547i \(-0.910479\pi\)
0.614095 0.789232i \(-0.289521\pi\)
\(710\) 10.2520 + 34.0481i 0.384751 + 1.27780i
\(711\) 0.818060 + 4.60111i 0.0306797 + 0.172555i
\(712\) −16.1122 + 24.1332i −0.603830 + 0.904431i
\(713\) 9.63300 + 29.6473i 0.360759 + 1.11030i
\(714\) −17.4957 12.8059i −0.654761 0.479248i
\(715\) 6.28064 + 3.92457i 0.234883 + 0.146771i
\(716\) −19.4492 20.4849i −0.726851 0.765557i
\(717\) −1.66822 18.9126i −0.0623007 0.706305i
\(718\) 6.64868 1.50532i 0.248127 0.0561780i
\(719\) 5.00682 3.63767i 0.186723 0.135662i −0.490497 0.871443i \(-0.663185\pi\)
0.677220 + 0.735781i \(0.263185\pi\)
\(720\) −3.21877 + 26.6391i −0.119957 + 0.992779i
\(721\) −29.3689 21.3378i −1.09376 0.794661i
\(722\) 10.7199 + 4.60405i 0.398954 + 0.171345i
\(723\) 1.01763 + 1.16897i 0.0378461 + 0.0434744i
\(724\) 44.8587 21.4103i 1.66716 0.795707i
\(725\) −14.7627 2.60302i −0.548272 0.0966737i
\(726\) 7.48444 22.7614i 0.277774 0.844753i
\(727\) 2.25103 6.92797i 0.0834862 0.256944i −0.900596 0.434657i \(-0.856870\pi\)
0.984082 + 0.177713i \(0.0568697\pi\)
\(728\) 0.864882 + 21.8039i 0.0320547 + 0.808108i
\(729\) −20.1420 17.9806i −0.745998 0.665948i
\(730\) 18.7098 + 26.9627i 0.692480 + 0.997936i
\(731\) −27.0424 + 19.6474i −1.00020 + 0.726687i
\(732\) 0.638956 6.70346i 0.0236165 0.247767i
\(733\) −5.71993 7.87281i −0.211270 0.290789i 0.690210 0.723610i \(-0.257518\pi\)
−0.901480 + 0.432821i \(0.857518\pi\)
\(734\) 9.31358 + 15.6503i 0.343771 + 0.577662i
\(735\) −0.235230 + 1.49208i −0.00867660 + 0.0550360i
\(736\) 17.0435 17.5176i 0.628231 0.645705i
\(737\) −0.544223 1.67495i −0.0200467 0.0616975i
\(738\) −5.61651 3.39628i −0.206747 0.125019i
\(739\) −49.8168 16.1865i −1.83254 0.595429i −0.999082 0.0428478i \(-0.986357\pi\)
−0.833459 0.552581i \(-0.813643\pi\)
\(740\) −11.8709 + 26.0656i −0.436382 + 0.958192i
\(741\) 16.6073 + 3.82163i 0.610083 + 0.140391i
\(742\) −31.2290 + 35.6188i −1.14645 + 1.30761i
\(743\) 33.0690i 1.21318i −0.795013 0.606592i \(-0.792536\pi\)
0.795013 0.606592i \(-0.207464\pi\)
\(744\) 25.7191 24.2469i 0.942906 0.888933i
\(745\) 3.59171 + 2.24434i 0.131590 + 0.0822263i
\(746\) 15.8715 36.9546i 0.581096 1.35301i
\(747\) 19.7785 + 2.75095i 0.723657 + 0.100652i
\(748\) −0.993883 7.53471i −0.0363400 0.275496i
\(749\) 44.8853i 1.64007i
\(750\) −5.59952 26.8076i −0.204465 0.978874i
\(751\) 50.5408i 1.84426i −0.386882 0.922129i \(-0.626448\pi\)
0.386882 0.922129i \(-0.373552\pi\)
\(752\) −36.4002 + 23.6645i −1.32738 + 0.862954i
\(753\) −6.46874 + 2.75126i −0.235734 + 0.100261i
\(754\) 11.6904 + 5.02086i 0.425739 + 0.182849i
\(755\) −16.7722 10.4804i −0.610401 0.381420i
\(756\) −13.9060 + 22.8145i −0.505755 + 0.829757i
\(757\) 10.2783i 0.373570i 0.982401 + 0.186785i \(0.0598068\pi\)
−0.982401 + 0.186785i \(0.940193\pi\)
\(758\) −30.1670 26.4491i −1.09571 0.960673i
\(759\) 1.85230 8.04935i 0.0672342 0.292173i
\(760\) 4.21522 20.3038i 0.152902 0.736497i
\(761\) −47.6097 15.4693i −1.72585 0.560762i −0.733010 0.680218i \(-0.761885\pi\)
−0.992840 + 0.119455i \(0.961885\pi\)
\(762\) 38.5485 + 0.135911i 1.39647 + 0.00492354i
\(763\) −14.3812 44.2606i −0.520633 1.60234i
\(764\) 3.91021 + 29.6437i 0.141467 + 1.07247i
\(765\) −17.7131 14.8201i −0.640418 0.535820i
\(766\) −20.0029 + 11.9039i −0.722736 + 0.430105i
\(767\) 20.3173 + 27.9643i 0.733615 + 1.00973i
\(768\) −26.2184 8.97748i −0.946075 0.323947i
\(769\) 0.407444 0.296025i 0.0146928 0.0106749i −0.580415 0.814321i \(-0.697109\pi\)
0.595107 + 0.803646i \(0.297109\pi\)
\(770\) 7.37250 5.11587i 0.265686 0.184363i
\(771\) −5.37847 + 2.28755i −0.193701 + 0.0823840i
\(772\) −5.88150 + 31.7782i −0.211680 + 1.14372i
\(773\) −1.19615 + 3.68136i −0.0430224 + 0.132409i −0.970261 0.242063i \(-0.922176\pi\)
0.927238 + 0.374472i \(0.122176\pi\)
\(774\) 26.9366 + 31.1636i 0.968214 + 1.12015i
\(775\) −16.9363 + 31.8528i −0.608370 + 1.14419i
\(776\) −17.2666 21.8856i −0.619833 0.785648i
\(777\) −21.5106 + 18.7258i −0.771688 + 0.671784i
\(778\) −4.11255 + 9.57553i −0.147442 + 0.343299i
\(779\) 4.10365 + 2.98148i 0.147029 + 0.106822i
\(780\) −0.586050 + 23.2364i −0.0209839 + 0.831996i
\(781\) −10.0407 + 7.29498i −0.359284 + 0.261035i
\(782\) 4.64521 + 20.5169i 0.166112 + 0.733684i
\(783\) 8.51256 + 13.0471i 0.304214 + 0.466264i
\(784\) −1.45670 0.558340i −0.0520252 0.0199407i
\(785\) 8.89727 + 5.55961i 0.317557 + 0.198431i
\(786\) −5.68633 4.16207i −0.202825 0.148456i
\(787\) −6.19354 19.0617i −0.220776 0.679478i −0.998693 0.0511112i \(-0.983724\pi\)
0.777917 0.628367i \(-0.216276\pi\)
\(788\) 35.0408 + 36.9068i 1.24828 + 1.31475i
\(789\) 24.1892 21.0576i 0.861157 0.749670i
\(790\) 4.71687 1.42027i 0.167819 0.0505308i
\(791\) 0.816901 + 2.51416i 0.0290457 + 0.0893934i
\(792\) −9.14872 + 2.00364i −0.325086 + 0.0711961i
\(793\) 5.83315i 0.207141i
\(794\) −23.2963 20.4251i −0.826753 0.724860i
\(795\) −35.6543 + 35.7052i −1.26453 + 1.26633i
\(796\) −2.87040 + 15.5090i −0.101739 + 0.549701i
\(797\) −26.4945 19.2494i −0.938483 0.681848i 0.00957178 0.999954i \(-0.496953\pi\)
−0.948055 + 0.318106i \(0.896953\pi\)
\(798\) 12.1957 16.6620i 0.431722 0.589830i
\(799\) 37.3687i 1.32201i
\(800\) 28.2841 + 0.105635i 0.999993 + 0.00373476i
\(801\) −27.1545 + 14.4880i −0.959457 + 0.511907i
\(802\) 27.2162 + 2.49738i 0.961037 + 0.0881855i
\(803\) −6.73291 + 9.26706i −0.237599 + 0.327027i
\(804\) 3.65856 4.14328i 0.129027 0.146122i
\(805\) −19.0273 + 15.9658i −0.670623 + 0.562721i
\(806\) 20.1855 23.0229i 0.711003 0.810948i
\(807\) −20.7753 12.4629i −0.731326 0.438716i
\(808\) 9.51745 + 2.68034i 0.334823 + 0.0942940i
\(809\) −14.2220 + 4.62101i −0.500019 + 0.162466i −0.548158 0.836374i \(-0.684671\pi\)
0.0481391 + 0.998841i \(0.484671\pi\)
\(810\) −16.3566 + 23.2908i −0.574712 + 0.818356i
\(811\) −13.2402 4.30201i −0.464927 0.151064i 0.0671802 0.997741i \(-0.478600\pi\)
−0.532107 + 0.846677i \(0.678600\pi\)
\(812\) 11.1798 10.6145i 0.392333 0.372497i
\(813\) −1.17202 + 5.09314i −0.0411046 + 0.178624i
\(814\) −9.95502 0.913481i −0.348923 0.0320175i
\(815\) 38.6536 + 9.63736i 1.35397 + 0.337582i
\(816\) 18.7783 14.7079i 0.657371 0.514880i
\(817\) −18.7112 25.7538i −0.654623 0.901011i
\(818\) −16.8052 + 3.80483i −0.587579 + 0.133033i
\(819\) −10.1163 + 20.8168i −0.353494 + 0.727398i
\(820\) −2.86750 + 6.29635i −0.100137 + 0.219878i
\(821\) 10.1641 13.9897i 0.354729 0.488243i −0.593942 0.804508i \(-0.702429\pi\)
0.948671 + 0.316265i \(0.102429\pi\)
\(822\) 13.8705 10.0030i 0.483789 0.348894i
\(823\) −7.02768 + 21.6290i −0.244970 + 0.753939i 0.750672 + 0.660675i \(0.229730\pi\)
−0.995641 + 0.0932637i \(0.970270\pi\)
\(824\) 31.3539 24.7365i 1.09226 0.861738i
\(825\) 8.18987 4.92894i 0.285135 0.171604i
\(826\) 40.8485 9.24845i 1.42130 0.321795i
\(827\) 11.7793 + 3.82733i 0.409606 + 0.133089i 0.506570 0.862199i \(-0.330913\pi\)
−0.0969638 + 0.995288i \(0.530913\pi\)
\(828\) 24.7103 7.83667i 0.858743 0.272343i
\(829\) 17.0197 + 12.3656i 0.591120 + 0.429473i 0.842716 0.538359i \(-0.180955\pi\)
−0.251596 + 0.967832i \(0.580955\pi\)
\(830\) 0.456522 21.0441i 0.0158461 0.730451i
\(831\) −28.6753 + 2.52935i −0.994736 + 0.0877422i
\(832\) −23.3470 5.58657i −0.809411 0.193679i
\(833\) 1.08630 0.789242i 0.0376380 0.0273456i
\(834\) 0.00752778 2.13511i 0.000260666 0.0739327i
\(835\) 29.2713 2.04689i 1.01298 0.0708354i
\(836\) 7.17567 0.946523i 0.248176 0.0327362i
\(837\) 36.1924 9.78068i 1.25099 0.338070i
\(838\) 27.4421 + 46.1129i 0.947973 + 1.59294i
\(839\) 1.59728 4.91593i 0.0551443 0.169717i −0.919691 0.392643i \(-0.871561\pi\)
0.974835 + 0.222926i \(0.0715609\pi\)
\(840\) 25.5896 + 11.7632i 0.882924 + 0.405868i
\(841\) 6.18390 + 19.0321i 0.213238 + 0.656278i
\(842\) 7.61220 8.68224i 0.262334 0.299210i
\(843\) −21.2526 12.7492i −0.731977 0.439107i
\(844\) 9.01221 + 4.89031i 0.310213 + 0.168331i
\(845\) −0.623223 8.91234i −0.0214395 0.306594i
\(846\) −45.8859 + 3.88445i −1.57759 + 0.133550i
\(847\) −20.3458 14.7821i −0.699090 0.507919i
\(848\) −28.4050 43.6919i −0.975431 1.50039i
\(849\) 26.3292 43.8900i 0.903617 1.50630i
\(850\) −13.3453 + 20.3606i −0.457740 + 0.698364i
\(851\) 27.6706 0.948535
\(852\) −35.7362 15.4976i −1.22430 0.530940i
\(853\) −11.2390 + 15.4692i −0.384816 + 0.529654i −0.956852 0.290574i \(-0.906154\pi\)
0.572036 + 0.820228i \(0.306154\pi\)
\(854\) −6.49424 2.78918i −0.222228 0.0954438i
\(855\) 14.1139 16.8690i 0.482684 0.576909i
\(856\) −47.5309 13.3858i −1.62457 0.457518i
\(857\) 15.5467 0.531066 0.265533 0.964102i \(-0.414452\pi\)
0.265533 + 0.964102i \(0.414452\pi\)
\(858\) −7.72458 + 2.47979i −0.263713 + 0.0846587i
\(859\) −16.2141 + 5.26828i −0.553218 + 0.179751i −0.572267 0.820067i \(-0.693936\pi\)
0.0190495 + 0.999819i \(0.493936\pi\)
\(860\) 29.3259 32.0198i 1.00000 1.09187i
\(861\) −5.19605 + 4.52336i −0.177081 + 0.154156i
\(862\) −4.31528 7.25126i −0.146979 0.246979i
\(863\) 11.6565 3.78742i 0.396791 0.128925i −0.103823 0.994596i \(-0.533108\pi\)
0.500614 + 0.865671i \(0.333108\pi\)
\(864\) −20.0122 21.5294i −0.680827 0.732444i
\(865\) −11.6475 13.8810i −0.396028 0.471967i
\(866\) 41.1886 24.5116i 1.39964 0.832938i
\(867\) −0.783301 8.88030i −0.0266023 0.301591i
\(868\) −15.9803 33.4818i −0.542406 1.13645i
\(869\) 1.01061 + 1.39099i 0.0342827 + 0.0471861i
\(870\) 12.6165 10.5109i 0.427738 0.356354i
\(871\) 2.81434 3.87361i 0.0953604 0.131252i
\(872\) 51.1581 2.02926i 1.73243 0.0687193i
\(873\) −5.17587 29.1112i −0.175177 0.985266i
\(874\) −19.5393 + 4.42386i −0.660926 + 0.149639i
\(875\) −28.5871 3.00452i −0.966420 0.101571i
\(876\) −35.7885 3.41127i −1.20918 0.115256i
\(877\) 39.2891 + 12.7658i 1.32670 + 0.431070i 0.884790 0.465990i \(-0.154302\pi\)
0.441908 + 0.897060i \(0.354302\pi\)
\(878\) 6.17917 14.3874i 0.208537 0.485551i
\(879\) 0.978343 0.416105i 0.0329987 0.0140349i
\(880\) 3.21875 + 9.33270i 0.108504 + 0.314605i
\(881\) 17.5600 + 24.1693i 0.591612 + 0.814284i 0.994908 0.100785i \(-0.0321355\pi\)
−0.403296 + 0.915070i \(0.632135\pi\)
\(882\) −1.08205 1.25185i −0.0364344 0.0421519i
\(883\) 2.61238 1.89800i 0.0879135 0.0638729i −0.542960 0.839758i \(-0.682697\pi\)
0.630874 + 0.775886i \(0.282697\pi\)
\(884\) 14.9842 14.2267i 0.503975 0.478494i
\(885\) 44.0588 7.01046i 1.48102 0.235654i
\(886\) 42.4633 + 3.89646i 1.42658 + 0.130904i
\(887\) −19.6943 + 6.39907i −0.661270 + 0.214860i −0.620377 0.784304i \(-0.713020\pi\)
−0.0408931 + 0.999164i \(0.513020\pi\)
\(888\) −13.4145 28.3629i −0.450162 0.951795i
\(889\) 12.5031 38.4806i 0.419340 1.29060i
\(890\) 18.4955 + 26.6540i 0.619971 + 0.893444i
\(891\) −9.55662 2.71087i −0.320159 0.0908175i
\(892\) 13.5882 25.0413i 0.454966 0.838443i
\(893\) 35.5881 1.19091
\(894\) −4.41745 + 1.41812i −0.147742 + 0.0474289i
\(895\) −29.2817 + 11.8306i −0.978778 + 0.395453i
\(896\) −17.3833 + 23.3217i −0.580735 + 0.779122i
\(897\) 20.6644 8.78892i 0.689966 0.293453i
\(898\) 13.5542 + 1.24374i 0.452308 + 0.0415042i
\(899\) −21.6314 −0.721448
\(900\) 26.3885 + 14.2705i 0.879616 + 0.475684i
\(901\) 44.8545 1.49432
\(902\) −2.40471 0.220658i −0.0800681 0.00734712i
\(903\) 39.7858 16.9215i 1.32399 0.563113i
\(904\) −2.90597 + 0.115269i −0.0966510 + 0.00383379i
\(905\) −3.87666 55.4378i −0.128865 1.84282i
\(906\) 20.6281 6.62217i 0.685323 0.220007i
\(907\) 11.3583 0.377146 0.188573 0.982059i \(-0.439614\pi\)
0.188573 + 0.982059i \(0.439614\pi\)
\(908\) 19.8645 + 10.7791i 0.659227 + 0.357717i
\(909\) 7.55442 + 7.27444i 0.250564 + 0.241278i
\(910\) 23.0337 + 8.04046i 0.763559 + 0.266539i
\(911\) 4.98422 15.3398i 0.165135 0.508232i −0.833912 0.551898i \(-0.813904\pi\)
0.999046 + 0.0436661i \(0.0139038\pi\)
\(912\) 14.0071 + 17.8835i 0.463820 + 0.592181i
\(913\) 6.98725 2.27029i 0.231244 0.0751358i
\(914\) 49.6850 + 4.55914i 1.64343 + 0.150803i
\(915\) −6.71053 3.41316i −0.221843 0.112835i
\(916\) −1.82316 1.92025i −0.0602390 0.0634469i
\(917\) −5.98375 + 4.34745i −0.197601 + 0.143565i
\(918\) 24.9243 4.34086i 0.822625 0.143270i
\(919\) −15.0688 20.7405i −0.497075 0.684165i 0.484598 0.874737i \(-0.338966\pi\)
−0.981673 + 0.190572i \(0.938966\pi\)
\(920\) −11.2325 24.9101i −0.370324 0.821261i
\(921\) −23.2972 + 9.90868i −0.767670 + 0.326502i
\(922\) −13.2804 + 30.9216i −0.437367 + 1.01835i
\(923\) −32.0904 10.4268i −1.05627 0.343203i
\(924\) −0.932752 + 9.78575i −0.0306853 + 0.321928i
\(925\) 22.2445 + 23.0348i 0.731395 + 0.757378i
\(926\) 42.6063 9.64644i 1.40013 0.317002i
\(927\) 41.7055 7.41509i 1.36979 0.243544i
\(928\) 7.90608 + 15.0042i 0.259530 + 0.492537i
\(929\) −29.9571 + 41.2324i −0.982860 + 1.35279i −0.0475850 + 0.998867i \(0.515153\pi\)
−0.935275 + 0.353923i \(0.884847\pi\)
\(930\) −14.6747 36.6930i −0.481203 1.20321i
\(931\) 0.751634 + 1.03453i 0.0246338 + 0.0339055i
\(932\) −4.39502 + 2.09767i −0.143964 + 0.0687115i
\(933\) −1.06956 12.1256i −0.0350158 0.396975i
\(934\) −20.9598 + 12.4733i −0.685826 + 0.408140i
\(935\) −8.24464 2.05561i −0.269628 0.0672256i
\(936\) −19.0268 16.9206i −0.621911 0.553068i
\(937\) −11.8742 + 3.85816i −0.387913 + 0.126041i −0.496479 0.868049i \(-0.665374\pi\)
0.108566 + 0.994089i \(0.465374\pi\)
\(938\) −2.96691 4.98551i −0.0968730 0.162783i
\(939\) 11.6351 10.1288i 0.379696 0.330540i
\(940\) 9.68948 + 47.5640i 0.316036 + 1.55137i
\(941\) −48.2070 + 15.6634i −1.57150 + 0.510612i −0.959850 0.280514i \(-0.909495\pi\)
−0.611653 + 0.791126i \(0.709495\pi\)
\(942\) −10.9428 + 3.51292i −0.356535 + 0.114457i
\(943\) 6.68404 0.217662
\(944\) −2.38839 + 46.0142i −0.0777355 + 1.49763i
\(945\) 18.0285 + 23.8185i 0.586468 + 0.774816i
\(946\) 13.9250 + 5.98058i 0.452740 + 0.194445i
\(947\) 12.0911 16.6420i 0.392909 0.540793i −0.566038 0.824379i \(-0.691524\pi\)
0.958947 + 0.283587i \(0.0915244\pi\)
\(948\) −2.14697 + 4.95073i −0.0697304 + 0.160792i
\(949\) −31.1421 −1.01092
\(950\) −19.3904 12.7094i −0.629109 0.412347i
\(951\) 2.74474 4.57540i 0.0890043 0.148367i
\(952\) −8.67412 23.4851i −0.281130 0.761155i
\(953\) 3.59444 + 2.61151i 0.116435 + 0.0845953i 0.644479 0.764622i \(-0.277074\pi\)
−0.528044 + 0.849217i \(0.677074\pi\)
\(954\) −4.66258 55.0778i −0.150957 1.78321i
\(955\) 32.4367 + 8.08734i 1.04963 + 0.261700i
\(956\) 10.4560 19.2691i 0.338172 0.623207i
\(957\) 4.91499 + 2.94846i 0.158879 + 0.0953102i
\(958\) 27.9871 31.9213i 0.904223 1.03133i
\(959\) −5.54668 17.0709i −0.179112 0.551249i
\(960\) −20.0879 + 23.5898i −0.648333 + 0.761357i
\(961\) −6.50713 + 20.0269i −0.209907 + 0.646028i
\(962\) −13.8991 23.3557i −0.448126 0.753018i
\(963\) −37.7273 36.3291i −1.21575 1.17069i
\(964\) 0.234037 + 1.77425i 0.00753782 + 0.0571448i
\(965\) 30.6421 + 19.1472i 0.986403 + 0.616372i
\(966\) 0.0959308 27.2089i 0.00308652 0.875432i
\(967\) −36.6797 + 26.6494i −1.17954 + 0.856987i −0.992120 0.125293i \(-0.960013\pi\)
−0.187421 + 0.982280i \(0.560013\pi\)
\(968\) 21.7209 17.1366i 0.698137 0.550792i
\(969\) −19.4762 + 1.71793i −0.625665 + 0.0551878i
\(970\) −29.8437 + 8.98604i −0.958222 + 0.288524i
\(971\) −21.0112 15.2655i −0.674280 0.489893i 0.197175 0.980368i \(-0.436823\pi\)
−0.871455 + 0.490475i \(0.836823\pi\)
\(972\) −7.92109 30.1539i −0.254069 0.967186i
\(973\) −2.13134 0.692516i −0.0683278 0.0222010i
\(974\) 21.3272 4.82867i 0.683368 0.154720i
\(975\) 23.9287 + 10.1370i 0.766332 + 0.324642i
\(976\) 4.89030 6.04521i 0.156535 0.193502i
\(977\) 6.22344 19.1538i 0.199105 0.612783i −0.800799 0.598934i \(-0.795591\pi\)
0.999904 0.0138497i \(-0.00440864\pi\)
\(978\) −35.3950 + 25.5258i −1.13181 + 0.816225i
\(979\) −6.65581 + 9.16094i −0.212721 + 0.292785i
\(980\) −1.17803 + 1.28624i −0.0376307 + 0.0410875i
\(981\) 48.8420 + 23.7358i 1.55941 + 0.757825i
\(982\) 5.81734 1.31709i 0.185639 0.0420302i
\(983\) 5.86807 + 8.07671i 0.187162 + 0.257607i 0.892279 0.451484i \(-0.149105\pi\)
−0.705117 + 0.709091i \(0.749105\pi\)
\(984\) −3.24039 6.85127i −0.103300 0.218410i
\(985\) 52.7556 21.3147i 1.68093 0.679143i
\(986\) −14.5363 1.33386i −0.462929 0.0424787i
\(987\) −10.8393 + 47.1031i −0.345018 + 1.49931i
\(988\) 13.5487 + 14.2702i 0.431043 + 0.453997i
\(989\) −39.8948 12.9626i −1.26858 0.412187i
\(990\) −1.66710 + 10.3374i −0.0529840 + 0.328546i
\(991\) 32.2187 10.4685i 1.02346 0.332543i 0.251259 0.967920i \(-0.419155\pi\)
0.772202 + 0.635377i \(0.219155\pi\)
\(992\) 40.2208 6.93713i 1.27701 0.220254i
\(993\) 6.86437 + 4.11787i 0.217834 + 0.130677i
\(994\) −26.9529 + 30.7416i −0.854893 + 0.975064i
\(995\) 14.9545 + 9.34460i 0.474091 + 0.296244i
\(996\) 17.2842 + 15.2621i 0.547670 + 0.483599i
\(997\) −14.1718 + 19.5058i −0.448826 + 0.617756i −0.972145 0.234381i \(-0.924694\pi\)
0.523319 + 0.852137i \(0.324694\pi\)
\(998\) −16.7123 1.53354i −0.529019 0.0485432i
\(999\) 1.67063 33.2364i 0.0528563 1.05155i
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 300.2.r.a.179.27 yes 224
3.2 odd 2 inner 300.2.r.a.179.30 yes 224
4.3 odd 2 inner 300.2.r.a.179.18 yes 224
12.11 even 2 inner 300.2.r.a.179.39 yes 224
25.19 even 10 inner 300.2.r.a.119.39 yes 224
75.44 odd 10 inner 300.2.r.a.119.18 224
100.19 odd 10 inner 300.2.r.a.119.30 yes 224
300.119 even 10 inner 300.2.r.a.119.27 yes 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.r.a.119.18 224 75.44 odd 10 inner
300.2.r.a.119.27 yes 224 300.119 even 10 inner
300.2.r.a.119.30 yes 224 100.19 odd 10 inner
300.2.r.a.119.39 yes 224 25.19 even 10 inner
300.2.r.a.179.18 yes 224 4.3 odd 2 inner
300.2.r.a.179.27 yes 224 1.1 even 1 trivial
300.2.r.a.179.30 yes 224 3.2 odd 2 inner
300.2.r.a.179.39 yes 224 12.11 even 2 inner