Properties

Label 230.2.l.a.7.7
Level $230$
Weight $2$
Character 230.7
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.7
Character \(\chi\) \(=\) 230.7
Dual form 230.2.l.a.33.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.664372 + 3.05407i) q^{3} +(0.989821 - 0.142315i) q^{4} +(2.09578 + 0.779553i) q^{5} +(-0.444805 + 3.09368i) q^{6} +(1.24726 - 2.28419i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-6.15705 - 2.81183i) q^{9} +(2.14605 + 0.628055i) q^{10} +(-3.47691 + 3.01276i) q^{11} +(-0.222970 + 3.11753i) q^{12} +(2.28489 - 1.24765i) q^{13} +(1.08113 - 2.36735i) q^{14} +(-3.77319 + 5.88275i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-2.24436 - 2.99811i) q^{17} +(-6.34196 - 2.36543i) q^{18} +(-0.215083 - 1.49593i) q^{19} +(2.18539 + 0.473357i) q^{20} +(6.14742 + 5.32677i) q^{21} +(-3.25312 + 3.25312i) q^{22} +(-4.73107 - 0.785478i) q^{23} +3.12550i q^{24} +(3.78459 + 3.26754i) q^{25} +(2.19007 - 1.40747i) q^{26} +(7.05898 - 9.42969i) q^{27} +(0.909491 - 2.43844i) q^{28} +(6.04466 + 0.869091i) q^{29} +(-3.34390 + 6.13693i) q^{30} +(4.50690 + 2.89641i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-6.89121 - 12.6203i) q^{33} +(-2.45252 - 2.83036i) q^{34} +(4.39463 - 3.81485i) q^{35} +(-6.49455 - 1.90697i) q^{36} +(-3.04986 - 8.17698i) q^{37} +(-0.321254 - 1.47678i) q^{38} +(2.29238 + 7.80713i) q^{39} +(2.21359 + 0.316247i) q^{40} +(-4.39226 - 9.61770i) q^{41} +(6.51176 + 4.87465i) q^{42} +(0.661697 + 0.143943i) q^{43} +(-3.01276 + 3.47691i) q^{44} +(-10.7119 - 10.6927i) q^{45} +(-4.77505 - 0.445966i) q^{46} +(1.92809 + 1.92809i) q^{47} +(0.222970 + 3.11753i) q^{48} +(0.122635 + 0.190823i) q^{49} +(4.00806 + 2.98923i) q^{50} +(10.6475 - 4.86256i) q^{51} +(2.08408 - 1.56012i) q^{52} +(5.52584 + 3.01733i) q^{53} +(6.36829 - 9.90925i) q^{54} +(-9.63544 + 3.60365i) q^{55} +(0.733218 - 2.49711i) q^{56} +(4.71158 + 0.336979i) q^{57} +(6.09126 + 0.435656i) q^{58} +(-1.80006 + 6.13045i) q^{59} +(-2.89758 + 6.35985i) q^{60} +(-4.00554 + 6.23274i) q^{61} +(4.70205 + 2.56751i) q^{62} +(-14.1022 + 10.5568i) q^{63} +(0.909632 - 0.415415i) q^{64} +(5.76124 - 0.833598i) q^{65} +(-7.77397 - 12.0965i) q^{66} +(-0.554064 - 7.74682i) q^{67} +(-2.64819 - 2.64819i) q^{68} +(5.54209 - 13.9272i) q^{69} +(4.11128 - 4.11864i) q^{70} +(-8.49053 + 9.79860i) q^{71} +(-6.61404 - 1.43880i) q^{72} +(1.19098 + 0.891553i) q^{73} +(-3.62542 - 7.93857i) q^{74} +(-12.4937 + 9.38755i) q^{75} +(-0.425787 - 1.45010i) q^{76} +(2.54509 + 11.6996i) q^{77} +(2.84349 + 7.62370i) q^{78} +(4.18153 + 1.22781i) q^{79} +(2.23051 + 0.157526i) q^{80} +(10.8114 + 12.4770i) q^{81} +(-5.06719 - 9.27986i) q^{82} +(-2.30068 + 0.858110i) q^{83} +(6.84293 + 4.39768i) q^{84} +(-2.36650 - 8.03298i) q^{85} +(0.670280 + 0.0963717i) q^{86} +(-6.67017 + 17.8834i) q^{87} +(-2.75704 + 3.68298i) q^{88} +(-13.5970 + 8.73826i) q^{89} +(-11.4474 - 9.90131i) q^{90} -6.77526i q^{91} +(-4.79470 - 0.104181i) q^{92} +(-11.8401 + 11.8401i) q^{93} +(2.06073 + 1.78563i) q^{94} +(0.715393 - 3.30282i) q^{95} +(0.444805 + 3.09368i) q^{96} +(-6.88907 - 2.56949i) q^{97} +(0.135936 + 0.181589i) q^{98} +(29.8789 - 8.77322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) −0.664372 + 3.05407i −0.383575 + 1.76327i 0.229565 + 0.973293i \(0.426270\pi\)
−0.613140 + 0.789974i \(0.710094\pi\)
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 2.09578 + 0.779553i 0.937262 + 0.348627i
\(6\) −0.444805 + 3.09368i −0.181591 + 1.26299i
\(7\) 1.24726 2.28419i 0.471420 0.863341i −0.528476 0.848948i \(-0.677236\pi\)
0.999896 0.0143934i \(-0.00458172\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −6.15705 2.81183i −2.05235 0.937277i
\(10\) 2.14605 + 0.628055i 0.678642 + 0.198609i
\(11\) −3.47691 + 3.01276i −1.04833 + 0.908380i −0.995920 0.0902455i \(-0.971235\pi\)
−0.0524072 + 0.998626i \(0.516689\pi\)
\(12\) −0.222970 + 3.11753i −0.0643660 + 0.899954i
\(13\) 2.28489 1.24765i 0.633716 0.346035i −0.130070 0.991505i \(-0.541520\pi\)
0.763786 + 0.645470i \(0.223338\pi\)
\(14\) 1.08113 2.36735i 0.288944 0.632700i
\(15\) −3.77319 + 5.88275i −0.974233 + 1.51892i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −2.24436 2.99811i −0.544337 0.727149i 0.441050 0.897483i \(-0.354606\pi\)
−0.985386 + 0.170334i \(0.945515\pi\)
\(18\) −6.34196 2.36543i −1.49481 0.557537i
\(19\) −0.215083 1.49593i −0.0493434 0.343191i −0.999506 0.0314355i \(-0.989992\pi\)
0.950162 0.311755i \(-0.100917\pi\)
\(20\) 2.18539 + 0.473357i 0.488668 + 0.105846i
\(21\) 6.14742 + 5.32677i 1.34148 + 1.16240i
\(22\) −3.25312 + 3.25312i −0.693568 + 0.693568i
\(23\) −4.73107 0.785478i −0.986496 0.163783i
\(24\) 3.12550i 0.637989i
\(25\) 3.78459 + 3.26754i 0.756919 + 0.653509i
\(26\) 2.19007 1.40747i 0.429507 0.276028i
\(27\) 7.05898 9.42969i 1.35850 1.81475i
\(28\) 0.909491 2.43844i 0.171878 0.460822i
\(29\) 6.04466 + 0.869091i 1.12247 + 0.161386i 0.678460 0.734638i \(-0.262648\pi\)
0.444006 + 0.896024i \(0.353557\pi\)
\(30\) −3.34390 + 6.13693i −0.610510 + 1.12045i
\(31\) 4.50690 + 2.89641i 0.809464 + 0.520211i 0.878692 0.477390i \(-0.158417\pi\)
−0.0692275 + 0.997601i \(0.522053\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −6.89121 12.6203i −1.19961 2.19691i
\(34\) −2.45252 2.83036i −0.420604 0.485403i
\(35\) 4.39463 3.81485i 0.742828 0.644827i
\(36\) −6.49455 1.90697i −1.08242 0.317829i
\(37\) −3.04986 8.17698i −0.501393 1.34429i −0.903458 0.428676i \(-0.858980\pi\)
0.402065 0.915611i \(-0.368293\pi\)
\(38\) −0.321254 1.47678i −0.0521142 0.239565i
\(39\) 2.29238 + 7.80713i 0.367074 + 1.25014i
\(40\) 2.21359 + 0.316247i 0.350000 + 0.0500031i
\(41\) −4.39226 9.61770i −0.685955 1.50203i −0.856207 0.516632i \(-0.827186\pi\)
0.170252 0.985401i \(-0.445542\pi\)
\(42\) 6.51176 + 4.87465i 1.00479 + 0.752174i
\(43\) 0.661697 + 0.143943i 0.100908 + 0.0219511i 0.262736 0.964868i \(-0.415375\pi\)
−0.161828 + 0.986819i \(0.551739\pi\)
\(44\) −3.01276 + 3.47691i −0.454190 + 0.524163i
\(45\) −10.7119 10.6927i −1.59683 1.59398i
\(46\) −4.77505 0.445966i −0.704043 0.0657540i
\(47\) 1.92809 + 1.92809i 0.281241 + 0.281241i 0.833604 0.552363i \(-0.186274\pi\)
−0.552363 + 0.833604i \(0.686274\pi\)
\(48\) 0.222970 + 3.11753i 0.0321830 + 0.449977i
\(49\) 0.122635 + 0.190823i 0.0175193 + 0.0272605i
\(50\) 4.00806 + 2.98923i 0.566825 + 0.422741i
\(51\) 10.6475 4.86256i 1.49095 0.680895i
\(52\) 2.08408 1.56012i 0.289010 0.216350i
\(53\) 5.52584 + 3.01733i 0.759032 + 0.414463i 0.811644 0.584152i \(-0.198573\pi\)
−0.0526122 + 0.998615i \(0.516755\pi\)
\(54\) 6.36829 9.90925i 0.866614 1.34848i
\(55\) −9.63544 + 3.60365i −1.29924 + 0.485915i
\(56\) 0.733218 2.49711i 0.0979803 0.333690i
\(57\) 4.71158 + 0.336979i 0.624064 + 0.0446340i
\(58\) 6.09126 + 0.435656i 0.799822 + 0.0572044i
\(59\) −1.80006 + 6.13045i −0.234348 + 0.798117i 0.755396 + 0.655268i \(0.227444\pi\)
−0.989745 + 0.142849i \(0.954374\pi\)
\(60\) −2.89758 + 6.35985i −0.374076 + 0.821053i
\(61\) −4.00554 + 6.23274i −0.512856 + 0.798020i −0.997035 0.0769490i \(-0.975482\pi\)
0.484179 + 0.874969i \(0.339118\pi\)
\(62\) 4.70205 + 2.56751i 0.597161 + 0.326075i
\(63\) −14.1022 + 10.5568i −1.77671 + 1.33003i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 5.76124 0.833598i 0.714594 0.103395i
\(66\) −7.77397 12.0965i −0.956910 1.48898i
\(67\) −0.554064 7.74682i −0.0676897 0.946425i −0.911900 0.410413i \(-0.865385\pi\)
0.844210 0.536012i \(-0.180070\pi\)
\(68\) −2.64819 2.64819i −0.321140 0.321140i
\(69\) 5.54209 13.9272i 0.667190 1.67663i
\(70\) 4.11128 4.11864i 0.491392 0.492272i
\(71\) −8.49053 + 9.79860i −1.00764 + 1.16288i −0.0210313 + 0.999779i \(0.506695\pi\)
−0.986609 + 0.163101i \(0.947851\pi\)
\(72\) −6.61404 1.43880i −0.779472 0.169564i
\(73\) 1.19098 + 0.891553i 0.139393 + 0.104348i 0.666699 0.745327i \(-0.267707\pi\)
−0.527306 + 0.849676i \(0.676798\pi\)
\(74\) −3.62542 7.93857i −0.421447 0.922840i
\(75\) −12.4937 + 9.38755i −1.44265 + 1.08398i
\(76\) −0.425787 1.45010i −0.0488412 0.166338i
\(77\) 2.54509 + 11.6996i 0.290040 + 1.33329i
\(78\) 2.84349 + 7.62370i 0.321962 + 0.863214i
\(79\) 4.18153 + 1.22781i 0.470459 + 0.138139i 0.508364 0.861142i \(-0.330250\pi\)
−0.0379052 + 0.999281i \(0.512068\pi\)
\(80\) 2.23051 + 0.157526i 0.249379 + 0.0176119i
\(81\) 10.8114 + 12.4770i 1.20127 + 1.38634i
\(82\) −5.06719 9.27986i −0.559577 1.02479i
\(83\) −2.30068 + 0.858110i −0.252533 + 0.0941898i −0.472543 0.881308i \(-0.656664\pi\)
0.220010 + 0.975498i \(0.429391\pi\)
\(84\) 6.84293 + 4.39768i 0.746624 + 0.479826i
\(85\) −2.36650 8.03298i −0.256683 0.871299i
\(86\) 0.670280 + 0.0963717i 0.0722781 + 0.0103920i
\(87\) −6.67017 + 17.8834i −0.715117 + 1.91730i
\(88\) −2.75704 + 3.68298i −0.293902 + 0.392606i
\(89\) −13.5970 + 8.73826i −1.44128 + 0.926254i −0.441703 + 0.897161i \(0.645626\pi\)
−0.999577 + 0.0290929i \(0.990738\pi\)
\(90\) −11.4474 9.90131i −1.20666 1.04369i
\(91\) 6.77526i 0.710241i
\(92\) −4.79470 0.104181i −0.499882 0.0108616i
\(93\) −11.8401 + 11.8401i −1.22776 + 1.22776i
\(94\) 2.06073 + 1.78563i 0.212548 + 0.184174i
\(95\) 0.715393 3.30282i 0.0733978 0.338862i
\(96\) 0.444805 + 3.09368i 0.0453977 + 0.315748i
\(97\) −6.88907 2.56949i −0.699479 0.260892i −0.0255342 0.999674i \(-0.508129\pi\)
−0.673945 + 0.738782i \(0.735401\pi\)
\(98\) 0.135936 + 0.181589i 0.0137316 + 0.0183432i
\(99\) 29.8789 8.77322i 3.00294 0.881742i
\(100\) 4.21109 + 2.69568i 0.421109 + 0.269568i
\(101\) 5.86240 12.8369i 0.583330 1.27732i −0.356059 0.934463i \(-0.615880\pi\)
0.939389 0.342852i \(-0.111393\pi\)
\(102\) 10.2735 5.60976i 1.01723 0.555449i
\(103\) 0.942711 13.1808i 0.0928881 1.29874i −0.710673 0.703522i \(-0.751609\pi\)
0.803561 0.595222i \(-0.202936\pi\)
\(104\) 1.96747 1.70482i 0.192926 0.167172i
\(105\) 8.73115 + 15.9560i 0.852073 + 1.55714i
\(106\) 5.72701 + 2.61544i 0.556256 + 0.254034i
\(107\) 5.82282 1.26668i 0.562913 0.122454i 0.0778999 0.996961i \(-0.475179\pi\)
0.485013 + 0.874507i \(0.338815\pi\)
\(108\) 5.64514 10.3383i 0.543204 0.994804i
\(109\) −0.132276 + 0.919999i −0.0126697 + 0.0881199i −0.995175 0.0981138i \(-0.968719\pi\)
0.982505 + 0.186234i \(0.0596282\pi\)
\(110\) −9.35381 + 4.28185i −0.891850 + 0.408258i
\(111\) 26.9993 3.88191i 2.56266 0.368455i
\(112\) 0.553208 2.54306i 0.0522732 0.240296i
\(113\) −0.628113 + 0.0449236i −0.0590879 + 0.00422605i −0.100852 0.994901i \(-0.532157\pi\)
0.0417639 + 0.999128i \(0.486702\pi\)
\(114\) 4.72362 0.442407
\(115\) −9.30296 5.33431i −0.867506 0.497427i
\(116\) 6.10682 0.567004
\(117\) −17.5764 + 1.25709i −1.62494 + 0.116218i
\(118\) −1.35814 + 6.24325i −0.125027 + 0.574738i
\(119\) −9.64755 + 1.38711i −0.884389 + 0.127156i
\(120\) −2.43649 + 6.55036i −0.222420 + 0.597963i
\(121\) 1.44671 10.0621i 0.131519 0.914737i
\(122\) −3.55069 + 6.50261i −0.321465 + 0.588718i
\(123\) 32.2912 7.02452i 2.91160 0.633380i
\(124\) 4.87323 + 2.22553i 0.437629 + 0.199859i
\(125\) 5.38446 + 9.79835i 0.481601 + 0.876391i
\(126\) −13.3132 + 11.5359i −1.18603 + 1.02770i
\(127\) −0.184850 + 2.58455i −0.0164028 + 0.229341i 0.982637 + 0.185537i \(0.0594024\pi\)
−0.999040 + 0.0438045i \(0.986052\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) −0.879226 + 1.92524i −0.0774115 + 0.169508i
\(130\) 5.68710 1.24248i 0.498791 0.108972i
\(131\) −20.2225 + 5.93786i −1.76685 + 0.518794i −0.993363 0.115021i \(-0.963307\pi\)
−0.773485 + 0.633814i \(0.781488\pi\)
\(132\) −8.61712 11.5111i −0.750024 1.00191i
\(133\) −3.68526 1.37453i −0.319552 0.119187i
\(134\) −1.10530 7.68756i −0.0954837 0.664104i
\(135\) 22.1450 14.2597i 1.90594 1.22728i
\(136\) −2.83036 2.45252i −0.242702 0.210302i
\(137\) −3.47894 + 3.47894i −0.297226 + 0.297226i −0.839926 0.542701i \(-0.817402\pi\)
0.542701 + 0.839926i \(0.317402\pi\)
\(138\) 4.53442 14.2870i 0.385996 1.21619i
\(139\) 9.56448i 0.811249i 0.914040 + 0.405624i \(0.132946\pi\)
−0.914040 + 0.405624i \(0.867054\pi\)
\(140\) 3.80699 4.40144i 0.321749 0.371990i
\(141\) −7.16949 + 4.60755i −0.603780 + 0.388026i
\(142\) −7.76987 + 10.3793i −0.652033 + 0.871015i
\(143\) −4.18551 + 11.2218i −0.350010 + 0.938412i
\(144\) −6.69983 0.963290i −0.558319 0.0802742i
\(145\) 11.9908 + 6.53356i 0.995781 + 0.542583i
\(146\) 1.25154 + 0.804318i 0.103579 + 0.0665659i
\(147\) −0.664263 + 0.247757i −0.0547875 + 0.0204347i
\(148\) −4.18252 7.65971i −0.343801 0.629624i
\(149\) 8.43804 + 9.73802i 0.691271 + 0.797770i 0.987546 0.157333i \(-0.0502897\pi\)
−0.296274 + 0.955103i \(0.595744\pi\)
\(150\) −11.7922 + 10.2549i −0.962825 + 0.837311i
\(151\) −6.62240 1.94451i −0.538924 0.158242i 0.000932510 1.00000i \(-0.499703\pi\)
−0.539856 + 0.841757i \(0.681521\pi\)
\(152\) −0.528151 1.41603i −0.0428387 0.114855i
\(153\) 5.38845 + 24.7703i 0.435630 + 2.00256i
\(154\) 3.37325 + 11.4882i 0.271824 + 0.925747i
\(155\) 7.18758 + 9.58362i 0.577320 + 0.769775i
\(156\) 3.38012 + 7.40142i 0.270626 + 0.592588i
\(157\) −11.1466 8.34427i −0.889599 0.665946i 0.0534602 0.998570i \(-0.482975\pi\)
−0.943059 + 0.332624i \(0.892066\pi\)
\(158\) 4.25847 + 0.926374i 0.338786 + 0.0736983i
\(159\) −12.8864 + 14.8717i −1.02195 + 1.17940i
\(160\) 2.23607 0.00199849i 0.176777 0.000157994i
\(161\) −7.69505 + 9.82695i −0.606455 + 0.774472i
\(162\) 11.6740 + 11.6740i 0.917194 + 0.917194i
\(163\) −0.862351 12.0572i −0.0675445 0.944396i −0.912373 0.409359i \(-0.865752\pi\)
0.844829 0.535037i \(-0.179702\pi\)
\(164\) −5.71629 8.89472i −0.446367 0.694561i
\(165\) −4.60427 31.8215i −0.358442 2.47730i
\(166\) −2.23360 + 1.02005i −0.173361 + 0.0791714i
\(167\) 8.33860 6.24220i 0.645260 0.483036i −0.225825 0.974168i \(-0.572508\pi\)
0.871085 + 0.491132i \(0.163417\pi\)
\(168\) 7.13922 + 3.89831i 0.550803 + 0.300761i
\(169\) −3.36421 + 5.23482i −0.258786 + 0.402678i
\(170\) −2.93353 7.84369i −0.224992 0.601584i
\(171\) −2.88204 + 9.81532i −0.220395 + 0.750596i
\(172\) 0.675447 + 0.0483089i 0.0515023 + 0.00368352i
\(173\) −12.6460 0.904460i −0.961458 0.0687649i −0.418222 0.908345i \(-0.637347\pi\)
−0.543236 + 0.839580i \(0.682801\pi\)
\(174\) −5.37739 + 18.3137i −0.407659 + 1.38836i
\(175\) 12.1841 4.56924i 0.921028 0.345402i
\(176\) −2.48728 + 3.87028i −0.187485 + 0.291733i
\(177\) −17.5269 9.57042i −1.31740 0.719357i
\(178\) −12.9390 + 9.68600i −0.969818 + 0.725996i
\(179\) 0.654216 0.298770i 0.0488984 0.0223311i −0.390816 0.920469i \(-0.627807\pi\)
0.439714 + 0.898138i \(0.355080\pi\)
\(180\) −12.1246 9.05944i −0.903712 0.675251i
\(181\) 7.33618 + 11.4153i 0.545294 + 0.848494i 0.999092 0.0426108i \(-0.0135675\pi\)
−0.453798 + 0.891105i \(0.649931\pi\)
\(182\) −0.483342 6.75800i −0.0358277 0.500936i
\(183\) −16.3740 16.3740i −1.21040 1.21040i
\(184\) −4.78992 + 0.238134i −0.353117 + 0.0175555i
\(185\) −0.0174413 19.5147i −0.00128231 1.43475i
\(186\) −10.9653 + 12.6546i −0.804013 + 0.927880i
\(187\) 16.8360 + 3.66245i 1.23117 + 0.267825i
\(188\) 2.18286 + 1.63407i 0.159201 + 0.119177i
\(189\) −12.7348 27.8853i −0.926320 2.02836i
\(190\) 0.477950 3.34544i 0.0346741 0.242704i
\(191\) −4.97822 16.9543i −0.360211 1.22677i −0.917932 0.396738i \(-0.870142\pi\)
0.557720 0.830029i \(-0.311676\pi\)
\(192\) 0.664372 + 3.05407i 0.0479469 + 0.220408i
\(193\) 4.78257 + 12.8226i 0.344257 + 0.922989i 0.987541 + 0.157361i \(0.0502987\pi\)
−0.643284 + 0.765628i \(0.722429\pi\)
\(194\) −7.05482 2.07148i −0.506507 0.148724i
\(195\) −1.28174 + 18.1491i −0.0917875 + 1.29968i
\(196\) 0.148544 + 0.171428i 0.0106103 + 0.0122449i
\(197\) 8.43065 + 15.4396i 0.600659 + 1.10003i 0.984293 + 0.176540i \(0.0564905\pi\)
−0.383634 + 0.923485i \(0.625328\pi\)
\(198\) 29.1769 10.8824i 2.07351 0.773379i
\(199\) −16.9934 10.9210i −1.20463 0.774170i −0.224881 0.974386i \(-0.572199\pi\)
−0.979752 + 0.200216i \(0.935836\pi\)
\(200\) 4.39267 + 2.38840i 0.310609 + 0.168885i
\(201\) 24.0274 + 3.45462i 1.69476 + 0.243670i
\(202\) 4.93169 13.2224i 0.346993 0.930323i
\(203\) 9.52443 12.7232i 0.668484 0.892990i
\(204\) 9.84714 6.32837i 0.689438 0.443075i
\(205\) −1.70770 23.5806i −0.119271 1.64694i
\(206\) 13.2145i 0.920697i
\(207\) 26.9208 + 18.1392i 1.87113 + 1.26076i
\(208\) 1.84084 1.84084i 0.127639 0.127639i
\(209\) 5.25471 + 4.55323i 0.363476 + 0.314954i
\(210\) 9.84719 + 15.2925i 0.679520 + 1.05528i
\(211\) 0.469737 + 3.26709i 0.0323380 + 0.224916i 0.999581 0.0289354i \(-0.00921170\pi\)
−0.967243 + 0.253851i \(0.918303\pi\)
\(212\) 5.89900 + 2.20021i 0.405145 + 0.151111i
\(213\) −24.2847 32.4406i −1.66396 2.22279i
\(214\) 5.71762 1.67884i 0.390848 0.114763i
\(215\) 1.27456 + 0.817501i 0.0869243 + 0.0557531i
\(216\) 4.89323 10.7147i 0.332942 0.729042i
\(217\) 12.2372 6.68203i 0.830717 0.453606i
\(218\) −0.0663069 + 0.927091i −0.00449087 + 0.0627905i
\(219\) −3.51412 + 3.04500i −0.237462 + 0.205762i
\(220\) −9.02451 + 4.93823i −0.608432 + 0.332935i
\(221\) −8.86870 4.05020i −0.596574 0.272446i
\(222\) 26.6536 5.79813i 1.78887 0.389145i
\(223\) 3.37595 6.18260i 0.226070 0.414017i −0.739882 0.672737i \(-0.765119\pi\)
0.965953 + 0.258719i \(0.0833005\pi\)
\(224\) 0.370379 2.57604i 0.0247470 0.172119i
\(225\) −14.1142 30.7601i −0.940944 2.05067i
\(226\) −0.623308 + 0.0896182i −0.0414618 + 0.00596131i
\(227\) −1.35648 + 6.23564i −0.0900327 + 0.413874i −1.00000 0.000807034i \(-0.999743\pi\)
0.909967 + 0.414681i \(0.136107\pi\)
\(228\) 4.71158 0.336979i 0.312032 0.0223170i
\(229\) 0.740462 0.0489311 0.0244655 0.999701i \(-0.492212\pi\)
0.0244655 + 0.999701i \(0.492212\pi\)
\(230\) −9.65981 4.65705i −0.636949 0.307077i
\(231\) −37.4223 −2.46220
\(232\) 6.09126 0.435656i 0.399911 0.0286022i
\(233\) −5.07036 + 23.3081i −0.332171 + 1.52696i 0.443760 + 0.896146i \(0.353644\pi\)
−0.775931 + 0.630818i \(0.782719\pi\)
\(234\) −17.4419 + 2.50777i −1.14021 + 0.163938i
\(235\) 2.53781 + 5.54390i 0.165548 + 0.361644i
\(236\) −0.909287 + 6.32423i −0.0591895 + 0.411672i
\(237\) −6.52791 + 11.9550i −0.424033 + 0.776559i
\(238\) −9.52401 + 2.07182i −0.617350 + 0.134296i
\(239\) 14.8082 + 6.76267i 0.957861 + 0.437440i 0.832103 0.554621i \(-0.187137\pi\)
0.125758 + 0.992061i \(0.459864\pi\)
\(240\) −1.96298 + 6.70748i −0.126710 + 0.432966i
\(241\) 14.7073 12.7439i 0.947378 0.820908i −0.0365754 0.999331i \(-0.511645\pi\)
0.983954 + 0.178423i \(0.0570995\pi\)
\(242\) 0.725204 10.1397i 0.0466179 0.651803i
\(243\) −14.2736 + 7.79399i −0.915654 + 0.499985i
\(244\) −3.07776 + 6.73934i −0.197033 + 0.431442i
\(245\) 0.108259 + 0.495525i 0.00691639 + 0.0316579i
\(246\) 31.7078 9.31026i 2.02162 0.593600i
\(247\) −2.35784 3.14970i −0.150026 0.200411i
\(248\) 5.01958 + 1.87221i 0.318744 + 0.118885i
\(249\) −1.09222 7.59655i −0.0692165 0.481412i
\(250\) 6.06974 + 9.38926i 0.383884 + 0.593829i
\(251\) 9.70871 + 8.41265i 0.612808 + 0.531002i 0.905029 0.425349i \(-0.139849\pi\)
−0.292221 + 0.956351i \(0.594394\pi\)
\(252\) −12.4563 + 12.4563i −0.784671 + 0.784671i
\(253\) 18.8159 11.5225i 1.18295 0.724415i
\(254\) 2.59115i 0.162583i
\(255\) 26.1055 1.89056i 1.63479 0.118391i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −2.27483 + 3.03881i −0.141900 + 0.189556i −0.865861 0.500285i \(-0.833229\pi\)
0.723961 + 0.689841i \(0.242320\pi\)
\(258\) −0.739641 + 1.98305i −0.0460480 + 0.123460i
\(259\) −22.4817 3.23238i −1.39695 0.200850i
\(260\) 5.58397 1.64502i 0.346303 0.102020i
\(261\) −34.7736 22.3476i −2.15243 1.38328i
\(262\) −19.7474 + 7.36539i −1.22000 + 0.455035i
\(263\) 4.88468 + 8.94562i 0.301202 + 0.551610i 0.983819 0.179166i \(-0.0573400\pi\)
−0.682617 + 0.730777i \(0.739158\pi\)
\(264\) −9.41636 10.8671i −0.579537 0.668821i
\(265\) 9.22877 + 10.6314i 0.566919 + 0.653079i
\(266\) −3.77393 1.10812i −0.231394 0.0679435i
\(267\) −17.6538 47.3317i −1.08039 2.89665i
\(268\) −1.65091 7.58912i −0.100845 0.463579i
\(269\) 0.0847081 + 0.288489i 0.00516474 + 0.0175895i 0.962035 0.272926i \(-0.0879914\pi\)
−0.956870 + 0.290515i \(0.906173\pi\)
\(270\) 21.0713 15.8032i 1.28236 0.961752i
\(271\) −0.124734 0.273130i −0.00757706 0.0165915i 0.905806 0.423693i \(-0.139267\pi\)
−0.913383 + 0.407102i \(0.866539\pi\)
\(272\) −2.99811 2.24436i −0.181787 0.136084i
\(273\) 20.6921 + 4.50130i 1.25234 + 0.272431i
\(274\) −3.22189 + 3.71826i −0.194641 + 0.224628i
\(275\) −23.0030 + 0.0411179i −1.38713 + 0.00247950i
\(276\) 3.50364 14.5741i 0.210894 0.877260i
\(277\) 4.35669 + 4.35669i 0.261768 + 0.261768i 0.825772 0.564004i \(-0.190740\pi\)
−0.564004 + 0.825772i \(0.690740\pi\)
\(278\) 0.682322 + 9.54011i 0.0409230 + 0.572178i
\(279\) −19.6050 30.5060i −1.17372 1.82635i
\(280\) 3.48329 4.66181i 0.208167 0.278597i
\(281\) 25.5276 11.6581i 1.52285 0.695463i 0.534154 0.845387i \(-0.320630\pi\)
0.988698 + 0.149924i \(0.0479029\pi\)
\(282\) −6.82252 + 5.10728i −0.406275 + 0.304134i
\(283\) −5.47879 2.99164i −0.325680 0.177835i 0.308088 0.951358i \(-0.400311\pi\)
−0.633768 + 0.773523i \(0.718493\pi\)
\(284\) −7.00962 + 10.9072i −0.415945 + 0.647223i
\(285\) 9.61175 + 4.37916i 0.569351 + 0.259399i
\(286\) −3.37429 + 11.4918i −0.199526 + 0.679523i
\(287\) −27.4469 1.96304i −1.62014 0.115875i
\(288\) −6.75148 0.482876i −0.397835 0.0284537i
\(289\) 0.837923 2.85370i 0.0492896 0.167865i
\(290\) 12.4263 + 5.66150i 0.729699 + 0.332455i
\(291\) 12.4243 19.3326i 0.728326 1.13330i
\(292\) 1.30573 + 0.712985i 0.0764123 + 0.0417243i
\(293\) 13.6728 10.2353i 0.798772 0.597953i −0.119986 0.992776i \(-0.538285\pi\)
0.918757 + 0.394823i \(0.129194\pi\)
\(294\) −0.644896 + 0.294514i −0.0376111 + 0.0171764i
\(295\) −8.55155 + 11.4448i −0.497891 + 0.666345i
\(296\) −4.71830 7.34182i −0.274246 0.426734i
\(297\) 3.86596 + 54.0531i 0.224326 + 3.13648i
\(298\) 9.11124 + 9.11124i 0.527800 + 0.527800i
\(299\) −11.7900 + 4.10797i −0.681833 + 0.237570i
\(300\) −11.0305 + 11.0700i −0.636848 + 0.639129i
\(301\) 1.15410 1.33190i 0.0665213 0.0767697i
\(302\) −6.74425 1.46712i −0.388088 0.0844234i
\(303\) 35.3099 + 26.4326i 2.02850 + 1.51851i
\(304\) −0.627824 1.37474i −0.0360082 0.0788469i
\(305\) −13.2535 + 9.93992i −0.758892 + 0.569158i
\(306\) 7.14181 + 24.3228i 0.408270 + 1.39044i
\(307\) −2.97299 13.6666i −0.169678 0.779996i −0.980784 0.195097i \(-0.937498\pi\)
0.811106 0.584899i \(-0.198866\pi\)
\(308\) 4.18421 + 11.2183i 0.238418 + 0.639222i
\(309\) 39.6288 + 11.6361i 2.25440 + 0.661953i
\(310\) 7.85295 + 9.04644i 0.446018 + 0.513803i
\(311\) −2.93544 3.38768i −0.166454 0.192098i 0.666394 0.745599i \(-0.267837\pi\)
−0.832848 + 0.553502i \(0.813291\pi\)
\(312\) 3.89951 + 7.14143i 0.220767 + 0.404304i
\(313\) −13.5390 + 5.04980i −0.765272 + 0.285432i −0.701630 0.712541i \(-0.747544\pi\)
−0.0636414 + 0.997973i \(0.520271\pi\)
\(314\) −11.7135 7.52782i −0.661032 0.424820i
\(315\) −37.7847 + 11.1313i −2.12892 + 0.627176i
\(316\) 4.31371 + 0.620217i 0.242665 + 0.0348900i
\(317\) −4.51505 + 12.1053i −0.253591 + 0.679902i 0.746307 + 0.665602i \(0.231825\pi\)
−0.999898 + 0.0143009i \(0.995448\pi\)
\(318\) −11.7926 + 15.7531i −0.661296 + 0.883388i
\(319\) −23.6351 + 15.1893i −1.32331 + 0.850440i
\(320\) 2.23023 0.161513i 0.124673 0.00902883i
\(321\) 18.6248i 1.03954i
\(322\) −6.97440 + 10.3509i −0.388668 + 0.576832i
\(323\) −4.00226 + 4.00226i −0.222691 + 0.222691i
\(324\) 12.4770 + 10.8114i 0.693169 + 0.600635i
\(325\) 12.7241 + 2.74415i 0.705808 + 0.152218i
\(326\) −1.72031 11.9650i −0.0952790 0.662680i
\(327\) −2.72186 1.01520i −0.150519 0.0561407i
\(328\) −6.33627 8.46427i −0.349862 0.467361i
\(329\) 6.80895 1.99929i 0.375389 0.110224i
\(330\) −6.86265 31.4119i −0.377777 1.72917i
\(331\) −6.24039 + 13.6646i −0.343003 + 0.751072i −0.999996 0.00282474i \(-0.999101\pi\)
0.656993 + 0.753897i \(0.271828\pi\)
\(332\) −2.15514 + 1.17680i −0.118279 + 0.0645851i
\(333\) −4.21417 + 58.9218i −0.230935 + 3.22889i
\(334\) 7.87204 6.82116i 0.430739 0.373237i
\(335\) 4.87786 16.6676i 0.266506 0.910646i
\(336\) 7.39913 + 3.37907i 0.403656 + 0.184343i
\(337\) 4.27843 0.930715i 0.233061 0.0506993i −0.0945180 0.995523i \(-0.530131\pi\)
0.327579 + 0.944824i \(0.393767\pi\)
\(338\) −2.98219 + 5.46148i −0.162210 + 0.297065i
\(339\) 0.280101 1.94815i 0.0152130 0.105809i
\(340\) −3.48562 7.61443i −0.189034 0.412950i
\(341\) −24.3963 + 3.50765i −1.32113 + 0.189950i
\(342\) −2.17448 + 9.99592i −0.117582 + 0.540517i
\(343\) 18.7601 1.34175i 1.01295 0.0724478i
\(344\) 0.677172 0.0365107
\(345\) 22.4720 24.8679i 1.20985 1.33884i
\(346\) −12.6783 −0.681590
\(347\) 13.4152 0.959472i 0.720164 0.0515072i 0.293554 0.955943i \(-0.405162\pi\)
0.426611 + 0.904435i \(0.359707\pi\)
\(348\) −4.05720 + 18.6507i −0.217489 + 0.999780i
\(349\) 20.0416 2.88155i 1.07280 0.154246i 0.416795 0.909001i \(-0.363153\pi\)
0.656007 + 0.754755i \(0.272244\pi\)
\(350\) 11.8270 5.42680i 0.632182 0.290075i
\(351\) 4.36410 30.3530i 0.232938 1.62012i
\(352\) −2.20484 + 4.03786i −0.117518 + 0.215218i
\(353\) 32.8698 7.15039i 1.74948 0.380577i 0.780010 0.625767i \(-0.215214\pi\)
0.969475 + 0.245190i \(0.0788504\pi\)
\(354\) −18.1650 8.29568i −0.965459 0.440910i
\(355\) −25.4328 + 13.9169i −1.34983 + 0.738632i
\(356\) −12.2150 + 10.5844i −0.647395 + 0.560971i
\(357\) 2.17324 30.3858i 0.115020 1.60819i
\(358\) 0.631235 0.344680i 0.0333618 0.0182169i
\(359\) 7.61976 16.6849i 0.402155 0.880598i −0.594892 0.803806i \(-0.702805\pi\)
0.997047 0.0767917i \(-0.0244676\pi\)
\(360\) −12.7400 8.17140i −0.671455 0.430670i
\(361\) 16.0388 4.70942i 0.844148 0.247864i
\(362\) 8.13185 + 10.8629i 0.427400 + 0.570940i
\(363\) 29.7692 + 11.1033i 1.56248 + 0.582775i
\(364\) −0.964221 6.70630i −0.0505389 0.351506i
\(365\) 1.80101 + 2.79693i 0.0942692 + 0.146398i
\(366\) −17.5004 15.1642i −0.914762 0.792646i
\(367\) 8.88352 8.88352i 0.463716 0.463716i −0.436155 0.899871i \(-0.643660\pi\)
0.899871 + 0.436155i \(0.143660\pi\)
\(368\) −4.76072 + 0.579236i −0.248170 + 0.0301948i
\(369\) 71.5670i 3.72563i
\(370\) −1.40956 19.4637i −0.0732794 1.01187i
\(371\) 13.7843 8.85864i 0.715646 0.459918i
\(372\) −10.0346 + 13.4046i −0.520268 + 0.694997i
\(373\) −3.12260 + 8.37203i −0.161682 + 0.433487i −0.992377 0.123242i \(-0.960671\pi\)
0.830694 + 0.556729i \(0.187944\pi\)
\(374\) 17.0544 + 2.45205i 0.881861 + 0.126793i
\(375\) −33.5021 + 9.93476i −1.73004 + 0.513029i
\(376\) 2.29387 + 1.47418i 0.118297 + 0.0760251i
\(377\) 14.8957 5.55582i 0.767169 0.286139i
\(378\) −14.6917 26.9058i −0.755658 1.38388i
\(379\) 8.15891 + 9.41588i 0.419095 + 0.483661i 0.925561 0.378599i \(-0.123594\pi\)
−0.506466 + 0.862260i \(0.669048\pi\)
\(380\) 0.238071 3.37101i 0.0122128 0.172929i
\(381\) −7.77058 2.28165i −0.398099 0.116892i
\(382\) −6.17504 16.5559i −0.315942 0.847075i
\(383\) 1.89043 + 8.69015i 0.0965963 + 0.444046i 0.999887 + 0.0150175i \(0.00478040\pi\)
−0.903291 + 0.429029i \(0.858856\pi\)
\(384\) 0.880554 + 2.99889i 0.0449356 + 0.153037i
\(385\) −3.78650 + 26.5038i −0.192978 + 1.35076i
\(386\) 5.68514 + 12.4487i 0.289366 + 0.633623i
\(387\) −3.66936 2.74685i −0.186524 0.139630i
\(388\) −7.18462 1.56292i −0.364744 0.0793452i
\(389\) 18.6433 21.5155i 0.945253 1.09088i −0.0504916 0.998724i \(-0.516079\pi\)
0.995745 0.0921556i \(-0.0293757\pi\)
\(390\) 0.0162611 + 18.1943i 0.000823414 + 0.921302i
\(391\) 8.26327 + 15.9472i 0.417891 + 0.806483i
\(392\) 0.160395 + 0.160395i 0.00810115 + 0.00810115i
\(393\) −4.69938 65.7059i −0.237052 3.31442i
\(394\) 9.51062 + 14.7988i 0.479138 + 0.745553i
\(395\) 7.80644 + 5.83295i 0.392784 + 0.293487i
\(396\) 28.3262 12.9361i 1.42344 0.650065i
\(397\) 14.5007 10.8551i 0.727767 0.544800i −0.169907 0.985460i \(-0.554347\pi\)
0.897674 + 0.440660i \(0.145256\pi\)
\(398\) −17.7292 9.68089i −0.888686 0.485259i
\(399\) 6.64629 10.3418i 0.332731 0.517739i
\(400\) 4.55187 + 2.06894i 0.227593 + 0.103447i
\(401\) −9.50070 + 32.3564i −0.474442 + 1.61580i 0.280392 + 0.959886i \(0.409536\pi\)
−0.754834 + 0.655916i \(0.772283\pi\)
\(402\) 24.2127 + 1.73172i 1.20762 + 0.0863705i
\(403\) 13.9115 + 0.994970i 0.692981 + 0.0495630i
\(404\) 3.97585 13.5405i 0.197806 0.673665i
\(405\) 12.9319 + 34.5772i 0.642589 + 1.71816i
\(406\) 8.59251 13.3702i 0.426439 0.663552i
\(407\) 35.2393 + 19.2421i 1.74675 + 0.953796i
\(408\) 9.37059 7.01473i 0.463913 0.347281i
\(409\) −24.1954 + 11.0497i −1.19639 + 0.546372i −0.911146 0.412084i \(-0.864801\pi\)
−0.285241 + 0.958456i \(0.592074\pi\)
\(410\) −3.38557 23.3987i −0.167201 1.15558i
\(411\) −8.31361 12.9362i −0.410080 0.638097i
\(412\) −0.942711 13.1808i −0.0464440 0.649372i
\(413\) 11.7580 + 11.7580i 0.578571 + 0.578571i
\(414\) 28.1463 + 16.1725i 1.38331 + 0.794834i
\(415\) −5.49067 + 0.00490729i −0.269526 + 0.000240889i
\(416\) 1.70482 1.96747i 0.0835858 0.0964632i
\(417\) −29.2106 6.35437i −1.43045 0.311175i
\(418\) 5.56614 + 4.16676i 0.272249 + 0.203803i
\(419\) −6.02766 13.1987i −0.294470 0.644800i 0.703346 0.710847i \(-0.251688\pi\)
−0.997816 + 0.0660475i \(0.978961\pi\)
\(420\) 10.9130 + 14.5510i 0.532502 + 0.710016i
\(421\) 2.59875 + 8.85054i 0.126656 + 0.431349i 0.998267 0.0588484i \(-0.0187428\pi\)
−0.871611 + 0.490197i \(0.836925\pi\)
\(422\) 0.701612 + 3.22526i 0.0341539 + 0.157003i
\(423\) −6.44988 17.2928i −0.313604 0.840805i
\(424\) 6.04093 + 1.77378i 0.293374 + 0.0861423i
\(425\) 1.30248 18.6802i 0.0631793 0.906122i
\(426\) −26.5371 30.6255i −1.28573 1.48381i
\(427\) 9.24079 + 16.9232i 0.447193 + 0.818973i
\(428\) 5.58328 2.08246i 0.269878 0.100659i
\(429\) −31.4914 20.2383i −1.52042 0.977113i
\(430\) 1.32963 + 0.724492i 0.0641206 + 0.0349381i
\(431\) −23.2189 3.33838i −1.11842 0.160804i −0.441782 0.897123i \(-0.645653\pi\)
−0.676635 + 0.736319i \(0.736562\pi\)
\(432\) 4.11639 11.0365i 0.198050 0.530992i
\(433\) −8.98558 + 12.0033i −0.431820 + 0.576843i −0.962689 0.270610i \(-0.912775\pi\)
0.530869 + 0.847454i \(0.321865\pi\)
\(434\) 11.7294 7.53800i 0.563027 0.361836i
\(435\) −27.9203 + 32.2800i −1.33868 + 1.54771i
\(436\) 0.929459i 0.0445130i
\(437\) −0.157451 + 7.24631i −0.00753189 + 0.346638i
\(438\) −3.28794 + 3.28794i −0.157104 + 0.157104i
\(439\) −3.74540 3.24541i −0.178758 0.154895i 0.560886 0.827893i \(-0.310461\pi\)
−0.739644 + 0.672998i \(0.765006\pi\)
\(440\) −8.64923 + 5.56945i −0.412336 + 0.265513i
\(441\) −0.218505 1.51974i −0.0104050 0.0723685i
\(442\) −9.13505 3.40720i −0.434510 0.162064i
\(443\) −19.8275 26.4865i −0.942034 1.25841i −0.965959 0.258696i \(-0.916707\pi\)
0.0239248 0.999714i \(-0.492384\pi\)
\(444\) 26.1720 7.68480i 1.24207 0.364705i
\(445\) −35.3083 + 7.71390i −1.67377 + 0.365674i
\(446\) 2.92629 6.40768i 0.138564 0.303412i
\(447\) −35.3466 + 19.3007i −1.67184 + 0.912891i
\(448\) 0.185662 2.59590i 0.00877173 0.122645i
\(449\) 7.55683 6.54803i 0.356629 0.309021i −0.458057 0.888923i \(-0.651455\pi\)
0.814686 + 0.579902i \(0.196909\pi\)
\(450\) −16.2726 29.6748i −0.767098 1.39888i
\(451\) 44.2473 + 20.2070i 2.08352 + 0.951513i
\(452\) −0.615327 + 0.133856i −0.0289425 + 0.00629606i
\(453\) 10.3384 18.9334i 0.485741 0.889569i
\(454\) −0.908178 + 6.31652i −0.0426229 + 0.296449i
\(455\) 5.28168 14.1995i 0.247609 0.665681i
\(456\) 4.67554 0.672241i 0.218952 0.0314806i
\(457\) 0.953406 4.38274i 0.0445985 0.205016i −0.949456 0.313900i \(-0.898364\pi\)
0.994054 + 0.108884i \(0.0347279\pi\)
\(458\) 0.738575 0.0528239i 0.0345113 0.00246830i
\(459\) −44.1142 −2.05907
\(460\) −9.96743 3.95606i −0.464734 0.184452i
\(461\) −34.9162 −1.62621 −0.813106 0.582116i \(-0.802225\pi\)
−0.813106 + 0.582116i \(0.802225\pi\)
\(462\) −37.3269 + 2.66967i −1.73661 + 0.124204i
\(463\) −5.13139 + 23.5886i −0.238476 + 1.09626i 0.689695 + 0.724100i \(0.257745\pi\)
−0.928170 + 0.372155i \(0.878619\pi\)
\(464\) 6.04466 0.869091i 0.280616 0.0403465i
\(465\) −34.0443 + 15.5843i −1.57876 + 0.722703i
\(466\) −3.39467 + 23.6104i −0.157255 + 1.09373i
\(467\) 15.2624 27.9510i 0.706260 1.29342i −0.240239 0.970714i \(-0.577226\pi\)
0.946499 0.322706i \(-0.104592\pi\)
\(468\) −17.2186 + 3.74567i −0.795929 + 0.173144i
\(469\) −18.3863 8.39672i −0.848998 0.387724i
\(470\) 2.92684 + 5.34873i 0.135005 + 0.246719i
\(471\) 32.8895 28.4989i 1.51547 1.31316i
\(472\) −0.455805 + 6.37298i −0.0209801 + 0.293340i
\(473\) −2.73432 + 1.49305i −0.125724 + 0.0686507i
\(474\) −5.65842 + 12.3902i −0.259900 + 0.569101i
\(475\) 4.07403 6.36430i 0.186929 0.292014i
\(476\) −9.35194 + 2.74598i −0.428646 + 0.125862i
\(477\) −25.5386 34.1156i −1.16933 1.56205i
\(478\) 15.2529 + 5.68903i 0.697651 + 0.260210i
\(479\) −0.570408 3.96728i −0.0260626 0.181269i 0.972632 0.232352i \(-0.0746420\pi\)
−0.998694 + 0.0510823i \(0.983733\pi\)
\(480\) −1.47948 + 6.83043i −0.0675286 + 0.311765i
\(481\) −17.1706 14.8784i −0.782911 0.678396i
\(482\) 13.7607 13.7607i 0.626781 0.626781i
\(483\) −24.8998 30.0300i −1.13298 1.36641i
\(484\) 10.1656i 0.462072i
\(485\) −12.4349 10.7555i −0.564641 0.488381i
\(486\) −13.6813 + 8.79241i −0.620594 + 0.398832i
\(487\) −18.1404 + 24.2327i −0.822019 + 1.09809i 0.171585 + 0.985169i \(0.445111\pi\)
−0.993604 + 0.112920i \(0.963980\pi\)
\(488\) −2.58913 + 6.94174i −0.117205 + 0.314238i
\(489\) 37.3966 + 5.37682i 1.69113 + 0.243148i
\(490\) 0.143333 + 0.486539i 0.00647513 + 0.0219796i
\(491\) 4.91636 + 3.15956i 0.221872 + 0.142589i 0.646856 0.762613i \(-0.276084\pi\)
−0.424983 + 0.905201i \(0.639720\pi\)
\(492\) 30.9628 11.5485i 1.39591 0.520649i
\(493\) −10.9608 20.0731i −0.493648 0.904048i
\(494\) −2.57653 2.97347i −0.115923 0.133783i
\(495\) 69.4587 + 4.90539i 3.12194 + 0.220481i
\(496\) 5.14036 + 1.50935i 0.230809 + 0.0677716i
\(497\) 11.7919 + 31.6154i 0.528940 + 1.41814i
\(498\) −1.63137 7.49927i −0.0731033 0.336050i
\(499\) 10.4192 + 35.4845i 0.466427 + 1.58851i 0.771535 + 0.636187i \(0.219489\pi\)
−0.305108 + 0.952318i \(0.598692\pi\)
\(500\) 6.72410 + 8.93233i 0.300711 + 0.399466i
\(501\) 13.5242 + 29.6138i 0.604215 + 1.32305i
\(502\) 10.2841 + 7.69860i 0.459003 + 0.343605i
\(503\) −5.38101 1.17057i −0.239928 0.0521930i 0.0909935 0.995851i \(-0.470996\pi\)
−0.330921 + 0.943658i \(0.607359\pi\)
\(504\) −11.5359 + 13.3132i −0.513850 + 0.593015i
\(505\) 22.2933 22.3332i 0.992040 0.993814i
\(506\) 17.9460 12.8355i 0.797797 0.570607i
\(507\) −13.7524 13.7524i −0.610766 0.610766i
\(508\) 0.184850 + 2.58455i 0.00820141 + 0.114671i
\(509\) 19.3176 + 30.0587i 0.856237 + 1.33233i 0.941861 + 0.336003i \(0.109075\pi\)
−0.0856244 + 0.996327i \(0.527289\pi\)
\(510\) 25.9041 3.74809i 1.14705 0.165968i
\(511\) 3.52193 1.60841i 0.155801 0.0711520i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) −15.6245 8.53160i −0.689837 0.376680i
\(514\) −2.05225 + 3.19336i −0.0905207 + 0.140853i
\(515\) 12.2509 26.8892i 0.539837 1.18488i
\(516\) −0.596287 + 2.03077i −0.0262501 + 0.0893995i
\(517\) −12.5127 0.894923i −0.550306 0.0393586i
\(518\) −22.6550 1.62032i −0.995405 0.0711928i
\(519\) 11.1639 38.0209i 0.490043 1.66893i
\(520\) 5.45239 2.03919i 0.239103 0.0894243i
\(521\) −10.7141 + 16.6715i −0.469394 + 0.730391i −0.992549 0.121846i \(-0.961118\pi\)
0.523155 + 0.852238i \(0.324755\pi\)
\(522\) −36.2792 19.8100i −1.58790 0.867058i
\(523\) 9.06364 6.78495i 0.396325 0.296685i −0.382465 0.923970i \(-0.624925\pi\)
0.778790 + 0.627285i \(0.215834\pi\)
\(524\) −19.1716 + 8.75539i −0.837516 + 0.382481i
\(525\) 5.86004 + 40.2466i 0.255753 + 1.75651i
\(526\) 5.51040 + 8.57436i 0.240265 + 0.373860i
\(527\) −1.43134 20.0128i −0.0623503 0.871771i
\(528\) −10.1676 10.1676i −0.442489 0.442489i
\(529\) 21.7660 + 7.43230i 0.946350 + 0.323143i
\(530\) 9.96369 + 9.94589i 0.432795 + 0.432022i
\(531\) 28.3209 32.6840i 1.22902 1.41837i
\(532\) −3.84336 0.836073i −0.166631 0.0362483i
\(533\) −22.0353 16.4954i −0.954456 0.714497i
\(534\) −20.9854 45.9517i −0.908128 1.98852i
\(535\) 13.1908 + 1.88452i 0.570287 + 0.0814748i
\(536\) −2.18811 7.45201i −0.0945118 0.321878i
\(537\) 0.477822 + 2.19651i 0.0206196 + 0.0947866i
\(538\) 0.105073 + 0.281711i 0.00453001 + 0.0121454i
\(539\) −1.00129 0.294007i −0.0431288 0.0126638i
\(540\) 19.8902 17.2661i 0.855940 0.743016i
\(541\) 10.8010 + 12.4650i 0.464372 + 0.535914i 0.938838 0.344360i \(-0.111904\pi\)
−0.474466 + 0.880274i \(0.657359\pi\)
\(542\) −0.143901 0.263535i −0.00618109 0.0113198i
\(543\) −39.7371 + 14.8212i −1.70528 + 0.636038i
\(544\) −3.15058 2.02476i −0.135080 0.0868108i
\(545\) −0.994409 + 1.82500i −0.0425958 + 0.0781744i
\(546\) 20.9605 + 3.01367i 0.897028 + 0.128973i
\(547\) −15.7931 + 42.3431i −0.675266 + 1.81046i −0.0959013 + 0.995391i \(0.530573\pi\)
−0.579365 + 0.815068i \(0.696699\pi\)
\(548\) −2.94842 + 3.93863i −0.125950 + 0.168250i
\(549\) 42.1877 27.1124i 1.80053 1.15713i
\(550\) −22.9415 + 1.68203i −0.978227 + 0.0717219i
\(551\) 9.22935i 0.393183i
\(552\) 2.45501 14.7869i 0.104492 0.629374i
\(553\) 8.02001 8.02001i 0.341045 0.341045i
\(554\) 4.65639 + 4.03479i 0.197831 + 0.171422i
\(555\) 59.6108 + 12.9117i 2.53034 + 0.548073i
\(556\) 1.36117 + 9.46713i 0.0577264 + 0.401496i
\(557\) 5.94246 + 2.21642i 0.251790 + 0.0939128i 0.472190 0.881497i \(-0.343464\pi\)
−0.220400 + 0.975410i \(0.570736\pi\)
\(558\) −21.7313 29.0297i −0.919961 1.22892i
\(559\) 1.69150 0.496668i 0.0715427 0.0210068i
\(560\) 3.14185 4.89843i 0.132767 0.206997i
\(561\) −22.3707 + 48.9851i −0.944494 + 2.06815i
\(562\) 24.6309 13.4495i 1.03899 0.567333i
\(563\) 0.280753 3.92544i 0.0118323 0.165438i −0.988100 0.153812i \(-0.950845\pi\)
0.999932 0.0116254i \(-0.00370058\pi\)
\(564\) −6.44079 + 5.58098i −0.271206 + 0.235002i
\(565\) −1.35141 0.395498i −0.0568542 0.0166387i
\(566\) −5.67825 2.59317i −0.238675 0.108999i
\(567\) 41.9846 9.13318i 1.76319 0.383558i
\(568\) −6.21365 + 11.3795i −0.260719 + 0.477472i
\(569\) 5.74397 39.9502i 0.240800 1.67480i −0.407340 0.913277i \(-0.633543\pi\)
0.648139 0.761522i \(-0.275547\pi\)
\(570\) 9.89967 + 3.68231i 0.414651 + 0.154235i
\(571\) −17.5505 + 2.52338i −0.734466 + 0.105600i −0.499391 0.866377i \(-0.666443\pi\)
−0.235075 + 0.971977i \(0.575534\pi\)
\(572\) −2.54588 + 11.7032i −0.106449 + 0.489336i
\(573\) 55.0869 3.93989i 2.30129 0.164591i
\(574\) −27.5170 −1.14854
\(575\) −15.3386 18.4317i −0.639664 0.768655i
\(576\) −6.76873 −0.282030
\(577\) 9.46769 0.677143i 0.394145 0.0281898i 0.127140 0.991885i \(-0.459420\pi\)
0.267006 + 0.963695i \(0.413966\pi\)
\(578\) 0.632207 2.90621i 0.0262964 0.120882i
\(579\) −42.3384 + 6.08735i −1.75952 + 0.252981i
\(580\) 12.7986 + 4.76059i 0.531431 + 0.197673i
\(581\) −0.909466 + 6.32547i −0.0377310 + 0.262425i
\(582\) 11.0135 20.1697i 0.456523 0.836060i
\(583\) −28.3033 + 6.15701i −1.17220 + 0.254997i
\(584\) 1.35327 + 0.618018i 0.0559988 + 0.0255738i
\(585\) −37.8162 11.0671i −1.56351 0.457570i
\(586\) 12.9078 11.1846i 0.533214 0.462033i
\(587\) 1.38655 19.3865i 0.0572291 0.800168i −0.885083 0.465433i \(-0.845899\pi\)
0.942312 0.334735i \(-0.108647\pi\)
\(588\) −0.622242 + 0.339770i −0.0256608 + 0.0140119i
\(589\) 3.36348 7.36500i 0.138590 0.303470i
\(590\) −7.71330 + 12.0257i −0.317551 + 0.495092i
\(591\) −52.7547 + 15.4902i −2.17004 + 0.637180i
\(592\) −5.23004 6.98651i −0.214953 0.287144i
\(593\) −38.9367 14.5226i −1.59894 0.596373i −0.617232 0.786781i \(-0.711746\pi\)
−0.981705 + 0.190408i \(0.939019\pi\)
\(594\) 7.71221 + 53.6396i 0.316436 + 2.20086i
\(595\) −21.3005 4.61370i −0.873234 0.189143i
\(596\) 9.73802 + 8.43804i 0.398885 + 0.345636i
\(597\) 44.6435 44.6435i 1.82714 1.82714i
\(598\) −11.4669 + 4.93859i −0.468916 + 0.201954i
\(599\) 38.9627i 1.59197i −0.605315 0.795986i \(-0.706953\pi\)
0.605315 0.795986i \(-0.293047\pi\)
\(600\) −10.2127 + 11.8287i −0.416932 + 0.482906i
\(601\) −1.12932 + 0.725767i −0.0460658 + 0.0296047i −0.563471 0.826136i \(-0.690534\pi\)
0.517405 + 0.855740i \(0.326898\pi\)
\(602\) 1.05614 1.41084i 0.0430452 0.0575017i
\(603\) −18.3714 + 49.2555i −0.748140 + 2.00584i
\(604\) −6.83173 0.982255i −0.277979 0.0399674i
\(605\) 10.8759 19.9602i 0.442170 0.811497i
\(606\) 37.1056 + 23.8463i 1.50731 + 0.968690i
\(607\) 27.1219 10.1159i 1.10084 0.410593i 0.267616 0.963526i \(-0.413764\pi\)
0.833226 + 0.552933i \(0.186491\pi\)
\(608\) −0.724297 1.32645i −0.0293741 0.0537947i
\(609\) 32.5296 + 37.5412i 1.31817 + 1.52125i
\(610\) −12.5106 + 10.8601i −0.506539 + 0.439712i
\(611\) 6.81105 + 1.99991i 0.275546 + 0.0809075i
\(612\) 8.85878 + 23.7513i 0.358095 + 0.960090i
\(613\) −2.07887 9.55639i −0.0839646 0.385979i 0.915917 0.401368i \(-0.131465\pi\)
−0.999882 + 0.0153887i \(0.995101\pi\)
\(614\) −3.94038 13.4197i −0.159021 0.541576i
\(615\) 73.1513 + 10.4508i 2.94975 + 0.421419i
\(616\) 4.97386 + 10.8912i 0.200402 + 0.438820i
\(617\) 10.7550 + 8.05106i 0.432978 + 0.324124i 0.793438 0.608651i \(-0.208289\pi\)
−0.360459 + 0.932775i \(0.617380\pi\)
\(618\) 40.3580 + 8.77934i 1.62344 + 0.353157i
\(619\) −2.29681 + 2.65066i −0.0923165 + 0.106539i −0.800028 0.599962i \(-0.795182\pi\)
0.707712 + 0.706501i \(0.249728\pi\)
\(620\) 8.47831 + 8.46317i 0.340497 + 0.339889i
\(621\) −40.8033 + 39.0679i −1.63738 + 1.56774i
\(622\) −3.16964 3.16964i −0.127091 0.127091i
\(623\) 3.00082 + 41.9570i 0.120225 + 1.68097i
\(624\) 4.39904 + 6.84504i 0.176103 + 0.274021i
\(625\) 3.64631 + 24.7327i 0.145853 + 0.989306i
\(626\) −13.1443 + 6.00280i −0.525352 + 0.239920i
\(627\) −17.3970 + 13.0232i −0.694768 + 0.520097i
\(628\) −12.2207 6.67301i −0.487659 0.266282i
\(629\) −17.6705 + 27.4959i −0.704570 + 1.09633i
\(630\) −36.8943 + 13.7984i −1.46990 + 0.549743i
\(631\) 3.84888 13.1081i 0.153222 0.521825i −0.846726 0.532029i \(-0.821430\pi\)
0.999948 + 0.0102039i \(0.00324805\pi\)
\(632\) 4.34696 + 0.310901i 0.172913 + 0.0123670i
\(633\) −10.2900 0.735956i −0.408991 0.0292516i
\(634\) −3.63996 + 12.3966i −0.144561 + 0.492331i
\(635\) −2.40220 + 5.27254i −0.0953283 + 0.209234i
\(636\) −10.6387 + 16.5542i −0.421853 + 0.656417i
\(637\) 0.518288 + 0.283007i 0.0205353 + 0.0112131i
\(638\) −22.4913 + 16.8368i −0.890438 + 0.666574i
\(639\) 79.8286 36.4565i 3.15797 1.44220i
\(640\) 2.21302 0.320204i 0.0874774 0.0126572i
\(641\) 4.47438 + 6.96227i 0.176727 + 0.274993i 0.918305 0.395874i \(-0.129558\pi\)
−0.741577 + 0.670867i \(0.765922\pi\)
\(642\) 1.32868 + 18.5774i 0.0524388 + 0.733190i
\(643\) 3.79292 + 3.79292i 0.149578 + 0.149578i 0.777930 0.628351i \(-0.216270\pi\)
−0.628351 + 0.777930i \(0.716270\pi\)
\(644\) −6.21821 + 10.8220i −0.245032 + 0.426448i
\(645\) −3.34349 + 3.34947i −0.131650 + 0.131885i
\(646\) −3.70654 + 4.27758i −0.145832 + 0.168299i
\(647\) 6.21375 + 1.35172i 0.244288 + 0.0531415i 0.333042 0.942912i \(-0.391925\pi\)
−0.0887542 + 0.996054i \(0.528289\pi\)
\(648\) 13.2165 + 9.89377i 0.519194 + 0.388664i
\(649\) −12.2109 26.7382i −0.479320 1.04956i
\(650\) 12.8875 + 1.82943i 0.505489 + 0.0717563i
\(651\) 12.2773 + 41.8127i 0.481186 + 1.63877i
\(652\) −2.56950 11.8118i −0.100629 0.462585i
\(653\) 1.87799 + 5.03508i 0.0734913 + 0.197038i 0.968501 0.249008i \(-0.0801046\pi\)
−0.895010 + 0.446046i \(0.852832\pi\)
\(654\) −2.78735 0.818439i −0.108994 0.0320035i
\(655\) −47.0108 3.32005i −1.83686 0.129725i
\(656\) −6.92396 7.99068i −0.270335 0.311983i
\(657\) −4.82600 8.83816i −0.188280 0.344810i
\(658\) 6.64897 2.47994i 0.259204 0.0966780i
\(659\) −4.73466 3.04278i −0.184436 0.118530i 0.445165 0.895449i \(-0.353145\pi\)
−0.629601 + 0.776919i \(0.716782\pi\)
\(660\) −9.08607 30.8423i −0.353675 1.20053i
\(661\) −31.5886 4.54176i −1.22865 0.176654i −0.502739 0.864438i \(-0.667674\pi\)
−0.725915 + 0.687784i \(0.758584\pi\)
\(662\) −5.24968 + 14.0749i −0.204034 + 0.547038i
\(663\) 18.2617 24.3948i 0.709226 0.947415i
\(664\) −2.06570 + 1.32754i −0.0801647 + 0.0515187i
\(665\) −6.65197 5.75357i −0.257952 0.223114i
\(666\) 59.0723i 2.28900i
\(667\) −27.9151 8.85968i −1.08088 0.343048i
\(668\) 7.36537 7.36537i 0.284975 0.284975i
\(669\) 16.6392 + 14.4179i 0.643308 + 0.557430i
\(670\) 3.67638 16.9731i 0.142031 0.655727i
\(671\) −4.85084 33.7383i −0.187265 1.30245i
\(672\) 7.62134 + 2.84261i 0.293999 + 0.109656i
\(673\) −1.95290 2.60877i −0.0752789 0.100561i 0.761321 0.648375i \(-0.224551\pi\)
−0.836600 + 0.547814i \(0.815460\pi\)
\(674\) 4.20113 1.23356i 0.161821 0.0475151i
\(675\) 57.5273 12.6220i 2.21423 0.485823i
\(676\) −2.58498 + 5.66031i −0.0994222 + 0.217704i
\(677\) 0.185501 0.101291i 0.00712938 0.00389293i −0.475680 0.879618i \(-0.657798\pi\)
0.482810 + 0.875725i \(0.339616\pi\)
\(678\) 0.140408 1.96317i 0.00539235 0.0753949i
\(679\) −14.4617 + 12.5311i −0.554987 + 0.480899i
\(680\) −4.01995 7.34637i −0.154158 0.281720i
\(681\) −18.1429 8.28557i −0.695236 0.317504i
\(682\) −24.0839 + 5.23913i −0.922219 + 0.200617i
\(683\) 16.7769 30.7247i 0.641952 1.17565i −0.330778 0.943709i \(-0.607311\pi\)
0.972730 0.231939i \(-0.0745070\pi\)
\(684\) −1.45584 + 10.1256i −0.0556653 + 0.387161i
\(685\) −10.0031 + 4.57908i −0.382199 + 0.174957i
\(686\) 18.6166 2.67667i 0.710786 0.102196i
\(687\) −0.491942 + 2.26142i −0.0187688 + 0.0862786i
\(688\) 0.675447 0.0483089i 0.0257512 0.00184176i
\(689\) 16.3905 0.624429
\(690\) 20.6407 26.4077i 0.785777 1.00532i
\(691\) 27.6793 1.05297 0.526485 0.850185i \(-0.323510\pi\)
0.526485 + 0.850185i \(0.323510\pi\)
\(692\) −12.6460 + 0.904460i −0.480729 + 0.0343824i
\(693\) 17.2270 79.1914i 0.654401 3.00823i
\(694\) 13.3125 1.91406i 0.505337 0.0726566i
\(695\) −7.45602 + 20.0451i −0.282823 + 0.760352i
\(696\) −2.71634 + 18.8926i −0.102963 + 0.716121i
\(697\) −18.9771 + 34.7540i −0.718811 + 1.31640i
\(698\) 19.7850 4.30396i 0.748872 0.162907i
\(699\) −67.8159 30.9705i −2.56503 1.17141i
\(700\) 11.4098 6.25671i 0.431249 0.236481i
\(701\) −14.5899 + 12.6422i −0.551051 + 0.477489i −0.885316 0.464991i \(-0.846058\pi\)
0.334264 + 0.942479i \(0.391512\pi\)
\(702\) 2.18762 30.5870i 0.0825665 1.15443i
\(703\) −11.5763 + 6.32111i −0.436607 + 0.238405i
\(704\) −1.91116 + 4.18486i −0.0720296 + 0.157723i
\(705\) −18.6175 + 4.06742i −0.701176 + 0.153188i
\(706\) 32.2760 9.47708i 1.21472 0.356675i
\(707\) −22.0099 29.4017i −0.827766 1.10577i
\(708\) −18.7105 6.97867i −0.703185 0.262274i
\(709\) −1.99572 13.8805i −0.0749509 0.521295i −0.992363 0.123355i \(-0.960635\pi\)
0.917412 0.397939i \(-0.130275\pi\)
\(710\) −24.3752 + 15.6958i −0.914785 + 0.589052i
\(711\) −22.2935 19.3175i −0.836073 0.724461i
\(712\) −11.4288 + 11.4288i −0.428313 + 0.428313i
\(713\) −19.0474 17.2432i −0.713331 0.645763i
\(714\) 30.4634i 1.14007i
\(715\) −17.5199 + 20.2556i −0.655206 + 0.757515i
\(716\) 0.605037 0.388834i 0.0226113 0.0145314i
\(717\) −30.4918 + 40.7323i −1.13874 + 1.52117i
\(718\) 6.41005 17.1860i 0.239221 0.641376i
\(719\) 21.8991 + 3.14862i 0.816699 + 0.117424i 0.537989 0.842952i \(-0.319184\pi\)
0.278710 + 0.960375i \(0.410093\pi\)
\(720\) −13.2904 7.24172i −0.495306 0.269883i
\(721\) −28.9316 18.5932i −1.07747 0.692448i
\(722\) 15.6620 5.84162i 0.582878 0.217402i
\(723\) 29.1497 + 53.3837i 1.08409 + 1.98536i
\(724\) 8.88608 + 10.2551i 0.330248 + 0.381127i
\(725\) 20.0368 + 23.0404i 0.744148 + 0.855697i
\(726\) 30.4855 + 8.95134i 1.13142 + 0.332216i
\(727\) −6.18491 16.5824i −0.229385 0.615006i 0.770359 0.637610i \(-0.220077\pi\)
−0.999744 + 0.0226041i \(0.992804\pi\)
\(728\) −1.44019 6.62043i −0.0533768 0.245369i
\(729\) −0.366606 1.24854i −0.0135780 0.0462424i
\(730\) 1.99595 + 2.66132i 0.0738735 + 0.0984999i
\(731\) −1.05353 2.30690i −0.0389661 0.0853238i
\(732\) −18.5376 13.8771i −0.685171 0.512913i
\(733\) −18.8453 4.09955i −0.696068 0.151420i −0.149409 0.988776i \(-0.547737\pi\)
−0.546659 + 0.837355i \(0.684101\pi\)
\(734\) 8.22714 9.49463i 0.303669 0.350453i
\(735\) −1.58529 + 0.00141685i −0.0584743 + 5.22615e-5i
\(736\) −4.70727 + 0.917387i −0.173512 + 0.0338153i
\(737\) 25.2657 + 25.2657i 0.930675 + 0.930675i
\(738\) 5.10553 + 71.3846i 0.187937 + 2.62770i
\(739\) 4.25075 + 6.61429i 0.156366 + 0.243311i 0.910594 0.413303i \(-0.135625\pi\)
−0.754228 + 0.656613i \(0.771988\pi\)
\(740\) −2.79449 19.3136i −0.102728 0.709981i
\(741\) 11.1859 5.10843i 0.410924 0.187663i
\(742\) 13.1172 9.81943i 0.481548 0.360483i
\(743\) −13.2377 7.22835i −0.485646 0.265183i 0.217719 0.976011i \(-0.430138\pi\)
−0.703365 + 0.710829i \(0.748320\pi\)
\(744\) −9.05273 + 14.0863i −0.331889 + 0.516429i
\(745\) 10.0930 + 26.9867i 0.369778 + 0.988714i
\(746\) −2.51739 + 8.57346i −0.0921684 + 0.313897i
\(747\) 16.5783 + 1.18570i 0.606567 + 0.0433826i
\(748\) 17.1859 + 1.22916i 0.628377 + 0.0449424i
\(749\) 4.36924 14.8803i 0.159649 0.543713i
\(750\) −32.7080 + 12.2995i −1.19433 + 0.449113i
\(751\) 8.20525 12.7676i 0.299414 0.465897i −0.658651 0.752448i \(-0.728873\pi\)
0.958065 + 0.286552i \(0.0925090\pi\)
\(752\) 2.39319 + 1.30678i 0.0872708 + 0.0476535i
\(753\) −32.1430 + 24.0619i −1.17136 + 0.876866i
\(754\) 14.4614 6.60431i 0.526654 0.240515i
\(755\) −12.3633 9.23779i −0.449945 0.336198i
\(756\) −16.5737 25.7891i −0.602778 0.937941i
\(757\) 1.92744 + 26.9491i 0.0700540 + 0.979483i 0.903971 + 0.427593i \(0.140639\pi\)
−0.833917 + 0.551890i \(0.813907\pi\)
\(758\) 8.80984 + 8.80984i 0.319988 + 0.319988i
\(759\) 22.6898 + 65.1204i 0.823588 + 2.36372i
\(760\) −0.00302035 3.37941i −0.000109560 0.122584i
\(761\) 16.6650 19.2325i 0.604106 0.697176i −0.368502 0.929627i \(-0.620129\pi\)
0.972608 + 0.232451i \(0.0746746\pi\)
\(762\) −7.91355 1.72149i −0.286678 0.0623629i
\(763\) 1.93647 + 1.44962i 0.0701048 + 0.0524798i
\(764\) −7.34039 16.0732i −0.265566 0.581509i
\(765\) −8.01675 + 56.1137i −0.289846 + 2.02879i
\(766\) 2.50556 + 8.53315i 0.0905295 + 0.308315i
\(767\) 3.53568 + 16.2533i 0.127666 + 0.586872i
\(768\) 1.09225 + 2.92843i 0.0394131 + 0.105671i
\(769\) 30.6638 + 9.00371i 1.10577 + 0.324682i 0.783140 0.621845i \(-0.213617\pi\)
0.322625 + 0.946527i \(0.395435\pi\)
\(770\) −1.88609 + 26.7064i −0.0679700 + 0.962433i
\(771\) −7.76942 8.96639i −0.279809 0.322917i
\(772\) 6.55873 + 12.0114i 0.236054 + 0.432301i
\(773\) −25.3084 + 9.43955i −0.910281 + 0.339517i −0.760603 0.649218i \(-0.775096\pi\)
−0.149678 + 0.988735i \(0.547824\pi\)
\(774\) −3.85597 2.47808i −0.138600 0.0890727i
\(775\) 7.59266 + 25.6883i 0.272736 + 0.922749i
\(776\) −7.27782 1.04639i −0.261258 0.0375633i
\(777\) 24.8081 66.5132i 0.889987 2.38615i
\(778\) 17.0609 22.7907i 0.611663 0.817086i
\(779\) −13.4428 + 8.63913i −0.481637 + 0.309529i
\(780\) 1.31418 + 18.1467i 0.0470553 + 0.649757i
\(781\) 59.6487i 2.13440i
\(782\) 9.37987 + 15.3170i 0.335424 + 0.547736i
\(783\) 50.8644 50.8644i 1.81775 1.81775i
\(784\) 0.171428 + 0.148544i 0.00612244 + 0.00530513i
\(785\) −16.8561 26.1772i −0.601621 0.934303i
\(786\) −9.37481 65.2032i −0.334388 2.32572i
\(787\) 18.5946 + 6.93542i 0.662825 + 0.247221i 0.658285 0.752769i \(-0.271282\pi\)
0.00453983 + 0.999990i \(0.498555\pi\)
\(788\) 10.5421 + 14.0826i 0.375548 + 0.501673i
\(789\) −30.5658 + 8.97492i −1.08817 + 0.319516i
\(790\) 8.20266 + 5.26118i 0.291838 + 0.187184i
\(791\) −0.680807 + 1.49076i −0.0242067 + 0.0530053i
\(792\) 27.3311 14.9239i 0.971170 0.530299i
\(793\) −1.37597 + 19.2386i −0.0488623 + 0.683184i
\(794\) 13.6893 11.8619i 0.485816 0.420962i
\(795\) −38.6002 + 21.1221i −1.36901 + 0.749125i
\(796\) −18.3747 8.39144i −0.651274 0.297427i
\(797\) −23.5266 + 5.11790i −0.833356 + 0.181285i −0.608948 0.793210i \(-0.708408\pi\)
−0.224407 + 0.974495i \(0.572045\pi\)
\(798\) 5.89158 10.7896i 0.208560 0.381949i
\(799\) 1.45330 10.1080i 0.0514142 0.357594i
\(800\) 4.68786 + 1.73894i 0.165741 + 0.0614810i
\(801\) 108.288 15.5695i 3.82617 0.550120i
\(802\) −7.16821 + 32.9517i −0.253118 + 1.16357i
\(803\) −6.82694 + 0.488273i −0.240918 + 0.0172308i
\(804\) 24.2745 0.856096
\(805\) −23.7878 + 14.5964i −0.838409 + 0.514457i
\(806\) 13.9470 0.491263
\(807\) −0.937344 + 0.0670402i −0.0329961 + 0.00235993i
\(808\) 2.99975 13.7896i 0.105531 0.485118i
\(809\) −2.16520 + 0.311308i −0.0761242 + 0.0109450i −0.180272 0.983617i \(-0.557698\pi\)
0.104147 + 0.994562i \(0.466789\pi\)
\(810\) 15.3656 + 33.5666i 0.539893 + 1.17941i
\(811\) 1.89548 13.1833i 0.0665592 0.462929i −0.929098 0.369834i \(-0.879415\pi\)
0.995657 0.0930956i \(-0.0296762\pi\)
\(812\) 7.61680 13.9491i 0.267297 0.489518i
\(813\) 0.917027 0.199487i 0.0321615 0.00699632i
\(814\) 36.5222 + 16.6791i 1.28010 + 0.584604i
\(815\) 7.59196 25.9416i 0.265935 0.908694i
\(816\) 8.84629 7.66535i 0.309682 0.268341i
\(817\) 0.0730101 1.02081i 0.00255430 0.0357138i
\(818\) −23.3455 + 12.7476i −0.816257 + 0.445710i
\(819\) −19.0509 + 41.7157i −0.665692 + 1.45766i
\(820\) −5.04619 23.0975i −0.176221 0.806601i
\(821\) 20.1128 5.90566i 0.701943 0.206109i 0.0887634 0.996053i \(-0.471709\pi\)
0.613179 + 0.789944i \(0.289890\pi\)
\(822\) −9.21529 12.3102i −0.321420 0.429367i
\(823\) −13.2986 4.96012i −0.463560 0.172899i 0.106823 0.994278i \(-0.465932\pi\)
−0.570383 + 0.821379i \(0.693205\pi\)
\(824\) −1.88062 13.0800i −0.0655144 0.455663i
\(825\) 15.1570 70.2801i 0.527698 2.44684i
\(826\) 12.5668 + 10.8892i 0.437255 + 0.378883i
\(827\) −39.1807 + 39.1807i −1.36245 + 1.36245i −0.491656 + 0.870790i \(0.663608\pi\)
−0.870790 + 0.491656i \(0.836392\pi\)
\(828\) 29.2283 + 14.1233i 1.01575 + 0.490820i
\(829\) 45.0301i 1.56396i −0.623303 0.781980i \(-0.714210\pi\)
0.623303 0.781980i \(-0.285790\pi\)
\(830\) −5.47633 + 0.396595i −0.190086 + 0.0137660i
\(831\) −16.2001 + 10.4112i −0.561975 + 0.361159i
\(832\) 1.56012 2.08408i 0.0540875 0.0722524i
\(833\) 0.296874 0.795949i 0.0102861 0.0275780i
\(834\) −29.5895 4.25432i −1.02460 0.147315i
\(835\) 22.3420 6.58190i 0.773177 0.227776i
\(836\) 5.84922 + 3.75906i 0.202299 + 0.130010i
\(837\) 59.1264 22.0530i 2.04371 0.762264i
\(838\) −6.95388 12.7351i −0.240218 0.439926i
\(839\) −30.7170 35.4493i −1.06047 1.22385i −0.973751 0.227614i \(-0.926908\pi\)
−0.0867177 0.996233i \(-0.527638\pi\)
\(840\) 11.9233 + 13.7354i 0.411393 + 0.473916i
\(841\) 7.95733 + 2.33648i 0.274391 + 0.0805684i
\(842\) 3.22352 + 8.64260i 0.111090 + 0.297844i
\(843\) 18.6447 + 85.7085i 0.642159 + 2.95196i
\(844\) 0.929912 + 3.16699i 0.0320089 + 0.109012i
\(845\) −11.1315 + 8.34845i −0.382934 + 0.287195i
\(846\) −7.66711 16.7886i −0.263601 0.577205i
\(847\) −21.1793 15.8546i −0.727730 0.544772i
\(848\) 6.15208 + 1.33830i 0.211263 + 0.0459575i
\(849\) 12.7766 14.7450i 0.438493 0.506048i
\(850\) −0.0334719 18.7255i −0.00114808 0.642279i
\(851\) 8.00625 + 41.0815i 0.274451 + 1.40825i
\(852\) −28.6543 28.6543i −0.981680 0.981680i
\(853\) −0.870050 12.1649i −0.0297899 0.416518i −0.990364 0.138492i \(-0.955774\pi\)
0.960574 0.278026i \(-0.0896801\pi\)
\(854\) 10.4245 + 16.2209i 0.356720 + 0.555067i
\(855\) −13.6917 + 18.3241i −0.468246 + 0.626670i
\(856\) 5.42049 2.47546i 0.185269 0.0846094i
\(857\) −28.1693 + 21.0873i −0.962246 + 0.720328i −0.960096 0.279669i \(-0.909775\pi\)
−0.00214954 + 0.999998i \(0.500684\pi\)
\(858\) −32.8549 17.9401i −1.12165 0.612466i
\(859\) 20.5494 31.9755i 0.701136 1.09099i −0.289856 0.957070i \(-0.593608\pi\)
0.990992 0.133919i \(-0.0427561\pi\)
\(860\) 1.37793 + 0.627791i 0.0469870 + 0.0214075i
\(861\) 24.2302 82.5206i 0.825764 2.81229i
\(862\) −23.3979 1.67345i −0.796937 0.0569980i
\(863\) −7.77284 0.555924i −0.264590 0.0189239i −0.0615863 0.998102i \(-0.519616\pi\)
−0.203004 + 0.979178i \(0.565070\pi\)
\(864\) 3.31857 11.3020i 0.112900 0.384502i
\(865\) −25.7982 11.7538i −0.877165 0.399641i
\(866\) −8.10638 + 12.6138i −0.275466 + 0.428634i
\(867\) 8.15872 + 4.45500i 0.277085 + 0.151300i
\(868\) 11.1617 8.35556i 0.378853 0.283606i
\(869\) −18.2379 + 8.32897i −0.618678 + 0.282541i
\(870\) −25.5463 + 34.1895i −0.866101 + 1.15913i
\(871\) −10.9313 17.0094i −0.370392 0.576341i
\(872\) 0.0663069 + 0.927091i 0.00224543 + 0.0313953i
\(873\) 35.1914 + 35.1914i 1.19105 + 1.19105i
\(874\) 0.359897 + 7.23908i 0.0121737 + 0.244866i
\(875\) 29.0971 0.0780168i 0.983661 0.00263745i
\(876\) −3.04500 + 3.51412i −0.102881 + 0.118731i
\(877\) 22.5132 + 4.89744i 0.760216 + 0.165375i 0.575931 0.817498i \(-0.304640\pi\)
0.184285 + 0.982873i \(0.441003\pi\)
\(878\) −3.96739 2.96995i −0.133893 0.100231i
\(879\) 22.1755 + 48.5576i 0.747962 + 1.63781i
\(880\) −8.22987 + 6.17229i −0.277429 + 0.208068i
\(881\) 4.09163 + 13.9348i 0.137851 + 0.469476i 0.999261 0.0384331i \(-0.0122366\pi\)
−0.861410 + 0.507909i \(0.830418\pi\)
\(882\) −0.326366 1.50028i −0.0109893 0.0505170i
\(883\) 2.98263 + 7.99675i 0.100374 + 0.269112i 0.977424 0.211286i \(-0.0677651\pi\)
−0.877051 + 0.480398i \(0.840492\pi\)
\(884\) −9.35484 2.74683i −0.314637 0.0923858i
\(885\) −29.2719 33.7207i −0.983965 1.13351i
\(886\) −21.6665 25.0045i −0.727901 0.840043i
\(887\) 1.87685 + 3.43719i 0.0630184 + 0.115410i 0.907289 0.420507i \(-0.138148\pi\)
−0.844271 + 0.535917i \(0.819966\pi\)
\(888\) 25.5571 9.53231i 0.857641 0.319883i
\(889\) 5.67303 + 3.64584i 0.190267 + 0.122277i
\(890\) −34.6680 + 10.2131i −1.16207 + 0.342344i
\(891\) −75.1806 10.8093i −2.51864 0.362126i
\(892\) 2.46172 6.60011i 0.0824243 0.220988i
\(893\) 2.46960 3.29899i 0.0826419 0.110397i
\(894\) −33.8796 + 21.7731i −1.13310 + 0.728202i
\(895\) 1.60400 0.116161i 0.0536158 0.00388285i
\(896\) 2.60253i 0.0869445i
\(897\) −4.71308 38.7367i −0.157365 1.29338i
\(898\) 7.07044 7.07044i 0.235944 0.235944i
\(899\) 24.7255 + 21.4247i 0.824641 + 0.714555i
\(900\) −18.3481 28.4383i −0.611604 0.947944i
\(901\) −3.35565 23.3391i −0.111793 0.777537i
\(902\) 45.5761 + 16.9990i 1.51752 + 0.566005i
\(903\) 3.30097 + 4.40959i 0.109850 + 0.146742i
\(904\) −0.604210 + 0.177412i −0.0200957 + 0.00590064i
\(905\) 6.47618 + 29.6429i 0.215276 + 0.985365i
\(906\) 8.96138 19.6227i 0.297722 0.651920i
\(907\) 42.7332 23.3341i 1.41893 0.774795i 0.427326 0.904098i \(-0.359456\pi\)
0.991605 + 0.129303i \(0.0412738\pi\)
\(908\) −0.455249 + 6.36521i −0.0151080 + 0.211237i
\(909\) −72.1902 + 62.5531i −2.39440 + 2.07476i
\(910\) 4.25524 14.5401i 0.141060 0.481999i
\(911\) 25.3691 + 11.5857i 0.840517 + 0.383851i 0.788680 0.614804i \(-0.210765\pi\)
0.0518375 + 0.998656i \(0.483492\pi\)
\(912\) 4.61567 1.00408i 0.152840 0.0332483i
\(913\) 5.41398 9.91496i 0.179177 0.328137i
\(914\) 0.638316 4.43959i 0.0211136 0.146848i
\(915\) −21.5520 47.0808i −0.712486 1.55644i
\(916\) 0.732925 0.105379i 0.0242165 0.00348181i
\(917\) −11.6595 + 53.5980i −0.385032 + 1.76996i
\(918\) −44.0018 + 3.14707i −1.45227 + 0.103869i
\(919\) 25.1171 0.828537 0.414269 0.910155i \(-0.364037\pi\)
0.414269 + 0.910155i \(0.364037\pi\)
\(920\) −10.2243 3.23492i −0.337084 0.106652i
\(921\) 43.7140 1.44043
\(922\) −34.8273 + 2.49090i −1.14698 + 0.0820333i
\(923\) −7.17478 + 32.9819i −0.236161 + 1.08561i
\(924\) −37.0414 + 5.32574i −1.21857 + 0.175204i
\(925\) 15.1762 40.9121i 0.498989 1.34518i
\(926\) −3.43552 + 23.8946i −0.112898 + 0.785224i
\(927\) −42.8666 + 78.5042i −1.40792 + 2.57842i
\(928\) 5.96726 1.29810i 0.195885 0.0426122i
\(929\) −32.9625 15.0535i −1.08146 0.493888i −0.206684 0.978408i \(-0.566267\pi\)
−0.874780 + 0.484520i \(0.838994\pi\)
\(930\) −32.8457 + 17.9733i −1.07705 + 0.589366i
\(931\) 0.259083 0.224496i 0.00849109 0.00735758i
\(932\) −1.70167 + 23.7924i −0.0557400 + 0.779347i
\(933\) 12.2964 6.71436i 0.402567 0.219818i
\(934\) 13.2295 28.9686i 0.432883 0.947882i
\(935\) 32.4295 + 20.8002i 1.06056 + 0.680241i
\(936\) −16.9075 + 4.96449i −0.552639 + 0.162269i
\(937\) −5.31939 7.10587i −0.173777 0.232139i 0.705194 0.709015i \(-0.250860\pi\)
−0.878971 + 0.476876i \(0.841769\pi\)
\(938\) −18.9384 7.06367i −0.618361 0.230637i
\(939\) −6.42748 44.7041i −0.209753 1.45886i
\(940\) 3.30095 + 5.12630i 0.107665 + 0.167202i
\(941\) 23.4217 + 20.2950i 0.763526 + 0.661599i 0.946930 0.321439i \(-0.104166\pi\)
−0.183405 + 0.983038i \(0.558712\pi\)
\(942\) 30.7726 30.7726i 1.00263 1.00263i
\(943\) 13.2256 + 48.9520i 0.430684 + 1.59410i
\(944\) 6.38926i 0.207953i
\(945\) −4.95126 68.3689i −0.161065 2.22404i
\(946\) −2.62084 + 1.68431i −0.0852110 + 0.0547618i
\(947\) 27.8737 37.2350i 0.905775 1.20997i −0.0713807 0.997449i \(-0.522741\pi\)
0.977156 0.212525i \(-0.0681686\pi\)
\(948\) −4.76009 + 12.7623i −0.154601 + 0.414500i
\(949\) 3.83360 + 0.551188i 0.124444 + 0.0178923i
\(950\) 3.60963 6.63872i 0.117112 0.215389i
\(951\) −33.9708 21.8317i −1.10158 0.707942i
\(952\) −9.13222 + 3.40614i −0.295977 + 0.110394i
\(953\) 1.84229 + 3.37390i 0.0596775 + 0.109291i 0.905815 0.423674i \(-0.139260\pi\)
−0.846137 + 0.532965i \(0.821078\pi\)
\(954\) −27.9073 32.2068i −0.903533 1.04273i
\(955\) 2.78348 39.4132i 0.0900714 1.27538i
\(956\) 15.6199 + 4.58641i 0.505183 + 0.148335i
\(957\) −30.6868 82.2746i −0.991964 2.65956i
\(958\) −0.851977 3.91647i −0.0275261 0.126536i
\(959\) 3.60740 + 12.2857i 0.116489 + 0.396725i
\(960\) −0.988430 + 6.91857i −0.0319014 + 0.223296i
\(961\) −0.954875 2.09088i −0.0308024 0.0674479i
\(962\) −18.1882 13.6155i −0.586412 0.438983i
\(963\) −39.4131 8.57379i −1.27007 0.276286i
\(964\) 12.7439 14.7073i 0.410454 0.473689i
\(965\) 0.0273502 + 30.6016i 0.000880433 + 0.985099i
\(966\) −26.9787 28.1771i −0.868025 0.906584i
\(967\) −11.4499 11.4499i −0.368205 0.368205i 0.498617 0.866822i \(-0.333841\pi\)
−0.866822 + 0.498617i \(0.833841\pi\)
\(968\) −0.725204 10.1397i −0.0233089 0.325902i
\(969\) −9.56418 14.8822i −0.307246 0.478084i
\(970\) −13.1705 9.84098i −0.422880 0.315975i
\(971\) −24.6330 + 11.2495i −0.790511 + 0.361015i −0.769404 0.638763i \(-0.779447\pi\)
−0.0211077 + 0.999777i \(0.506719\pi\)
\(972\) −13.0191 + 9.74601i −0.417589 + 0.312604i
\(973\) 21.8471 + 11.9294i 0.700385 + 0.382439i
\(974\) −16.3654 + 25.4651i −0.524382 + 0.815954i
\(975\) −16.8344 + 37.0373i −0.539132 + 1.18614i
\(976\) −2.08732 + 7.10876i −0.0668135 + 0.227546i
\(977\) −19.0254 1.36073i −0.608678 0.0435335i −0.236401 0.971655i \(-0.575968\pi\)
−0.372276 + 0.928122i \(0.621423\pi\)
\(978\) 37.6849 + 2.69528i 1.20503 + 0.0861854i
\(979\) 20.9493 71.3466i 0.669541 2.28025i
\(980\) 0.177677 + 0.475074i 0.00567569 + 0.0151757i
\(981\) 3.40131 5.29254i 0.108595 0.168978i
\(982\) 5.12924 + 2.80078i 0.163681 + 0.0893763i
\(983\) −21.8549 + 16.3604i −0.697063 + 0.521815i −0.888032 0.459781i \(-0.847928\pi\)
0.190969 + 0.981596i \(0.438837\pi\)
\(984\) 30.0601 13.7280i 0.958281 0.437632i
\(985\) 5.63283 + 38.9301i 0.179477 + 1.24042i
\(986\) −12.3648 19.2401i −0.393776 0.612728i
\(987\) 1.58229 + 22.1233i 0.0503648 + 0.704191i
\(988\) −2.78209 2.78209i −0.0885100 0.0885100i
\(989\) −3.01747 1.20075i −0.0959499 0.0381817i
\(990\) 69.6317 0.0622334i 2.21304 0.00197791i
\(991\) −30.9827 + 35.7559i −0.984198 + 1.13582i 0.00653234 + 0.999979i \(0.497921\pi\)
−0.990730 + 0.135846i \(0.956625\pi\)
\(992\) 5.23494 + 1.13879i 0.166209 + 0.0361566i
\(993\) −37.5866 28.1369i −1.19277 0.892899i
\(994\) 14.0173 + 30.6936i 0.444601 + 0.973541i
\(995\) −27.1010 36.1353i −0.859160 1.14557i
\(996\) −2.16220 7.36379i −0.0685120 0.233330i
\(997\) 5.70752 + 26.2370i 0.180759 + 0.830935i 0.974802 + 0.223073i \(0.0716090\pi\)
−0.794043 + 0.607862i \(0.792027\pi\)
\(998\) 12.9241 + 34.6508i 0.409105 + 1.09685i
\(999\) −98.6353 28.9619i −3.12068 0.916315i
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 230.2.l.a.7.7 240
5.3 odd 4 inner 230.2.l.a.53.1 yes 240
23.10 odd 22 inner 230.2.l.a.217.1 yes 240
115.33 even 44 inner 230.2.l.a.33.7 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.7.7 240 1.1 even 1 trivial
230.2.l.a.33.7 yes 240 115.33 even 44 inner
230.2.l.a.53.1 yes 240 5.3 odd 4 inner
230.2.l.a.217.1 yes 240 23.10 odd 22 inner