Properties

Label 161.2.o.a.103.3
Level $161$
Weight $2$
Character 161.103
Analytic conductor $1.286$
Analytic rank $0$
Dimension $280$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [161,2,Mod(5,161)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(161, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("161.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 161 = 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 161.o (of order \(66\), 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: \(1.28559147254\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(14\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 103.3
Character \(\chi\) \(=\) 161.103
Dual form 161.2.o.a.136.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0867328 - 1.82075i) q^{2} +(0.709180 + 1.77144i) q^{3} +(-1.31665 + 0.125725i) q^{4} +(-0.686053 + 2.82795i) q^{5} +(3.16384 - 1.44488i) q^{6} +(1.32416 + 2.29054i) q^{7} +(-0.175716 - 1.22213i) q^{8} +(-0.463879 + 0.442308i) q^{9} +(5.20848 + 1.00385i) q^{10} +(0.771055 + 0.0367299i) q^{11} +(-1.15646 - 2.24321i) q^{12} +(-0.954795 - 0.827335i) q^{13} +(4.05565 - 2.60963i) q^{14} +(-5.49609 + 0.790219i) q^{15} +(-4.80743 + 0.926556i) q^{16} +(2.47986 - 3.48247i) q^{17} +(0.845564 + 0.806243i) q^{18} +(-0.629425 - 0.883904i) q^{19} +(0.547749 - 3.80968i) q^{20} +(-3.11850 + 3.97009i) q^{21} -1.40708i q^{22} +(-3.59065 - 3.17918i) q^{23} +(2.04033 - 1.17798i) q^{24} +(-3.08245 - 1.58911i) q^{25} +(-1.42355 + 1.81020i) q^{26} +(4.09459 + 1.86993i) q^{27} +(-2.03144 - 2.84937i) q^{28} +(-3.69721 - 8.09575i) q^{29} +(1.91548 + 9.93845i) q^{30} +(0.180856 + 0.229977i) q^{31} +(1.52180 + 6.27295i) q^{32} +(0.481751 + 1.39193i) q^{33} +(-6.55578 - 4.21314i) q^{34} +(-7.38599 + 2.17323i) q^{35} +(0.555157 - 0.640686i) q^{36} +(6.61620 + 6.93887i) q^{37} +(-1.55477 + 1.22269i) q^{38} +(0.788457 - 2.27810i) q^{39} +(3.57668 + 0.341531i) q^{40} +(0.283675 + 0.966107i) q^{41} +(7.49900 + 5.33366i) q^{42} +(5.33475 + 0.767022i) q^{43} +(-1.01983 + 0.0485804i) q^{44} +(-0.932578 - 1.61527i) q^{45} +(-5.47706 + 6.81341i) q^{46} +(-5.52188 - 3.18806i) q^{47} +(-5.05067 - 7.85900i) q^{48} +(-3.49318 + 6.06611i) q^{49} +(-2.62602 + 5.75019i) q^{50} +(7.92766 + 1.92323i) q^{51} +(1.36115 + 0.969269i) q^{52} +(-11.3409 - 3.92512i) q^{53} +(3.04954 - 7.61739i) q^{54} +(-0.632855 + 2.15530i) q^{55} +(2.56667 - 2.02079i) q^{56} +(1.11941 - 1.74184i) q^{57} +(-14.4196 + 7.43384i) q^{58} +(-1.25368 + 6.50471i) q^{59} +(7.13708 - 1.73144i) q^{60} +(-3.32793 - 1.33230i) q^{61} +(0.403043 - 0.349239i) q^{62} +(-1.62738 - 0.476847i) q^{63} +(1.89430 - 0.556216i) q^{64} +(2.99470 - 2.13252i) q^{65} +(2.49257 - 0.997873i) q^{66} +(3.15064 - 6.11139i) q^{67} +(-2.82727 + 4.89698i) q^{68} +(3.08533 - 8.61526i) q^{69} +(4.59751 + 13.2595i) q^{70} +(8.76767 - 5.63464i) q^{71} +(0.622069 + 0.489201i) q^{72} +(-0.813474 - 8.51908i) q^{73} +(12.0601 - 12.6483i) q^{74} +(0.629017 - 6.58736i) q^{75} +(0.939862 + 1.08466i) q^{76} +(0.936871 + 1.81477i) q^{77} +(-4.21622 - 1.23799i) q^{78} +(-2.36896 + 0.819906i) q^{79} +(0.677898 - 14.2308i) q^{80} +(-0.500183 + 10.5001i) q^{81} +(1.73443 - 0.600293i) q^{82} +(17.0454 + 5.00499i) q^{83} +(3.60684 - 5.61929i) q^{84} +(8.14693 + 9.40206i) q^{85} +(0.933854 - 9.77976i) q^{86} +(11.7192 - 12.2907i) q^{87} +(-0.0905980 - 0.948785i) q^{88} +(-10.4991 - 8.25662i) q^{89} +(-2.86012 + 1.83809i) q^{90} +(0.630742 - 3.28253i) q^{91} +(5.12734 + 3.73444i) q^{92} +(-0.279132 + 0.483471i) q^{93} +(-5.32571 + 10.3304i) q^{94} +(2.93146 - 1.17358i) q^{95} +(-10.0330 + 7.14444i) q^{96} +(-5.40596 + 1.58733i) q^{97} +(11.3478 + 5.83407i) q^{98} +(-0.373922 + 0.324005i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q - 7 q^{2} - 27 q^{3} + q^{4} - 33 q^{5} - 22 q^{7} - 56 q^{8} - 15 q^{9} - 33 q^{10} - 11 q^{11} - 39 q^{12} - 22 q^{14} - 44 q^{15} + 11 q^{16} - 33 q^{17} - 77 q^{18} - 33 q^{19} + 44 q^{21} + 11 q^{23}+ \cdots - 198 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/161\mathbb{Z}\right)^\times\).

\(n\) \(24\) \(120\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0867328 1.82075i −0.0613294 1.28746i −0.794436 0.607348i \(-0.792233\pi\)
0.733106 0.680114i \(-0.238070\pi\)
\(3\) 0.709180 + 1.77144i 0.409445 + 1.02274i 0.979555 + 0.201176i \(0.0644763\pi\)
−0.570110 + 0.821568i \(0.693099\pi\)
\(4\) −1.31665 + 0.125725i −0.658325 + 0.0628625i
\(5\) −0.686053 + 2.82795i −0.306812 + 1.26470i 0.584532 + 0.811371i \(0.301278\pi\)
−0.891344 + 0.453327i \(0.850237\pi\)
\(6\) 3.16384 1.44488i 1.29163 0.589869i
\(7\) 1.32416 + 2.29054i 0.500487 + 0.865744i
\(8\) −0.175716 1.22213i −0.0621250 0.432089i
\(9\) −0.463879 + 0.442308i −0.154626 + 0.147436i
\(10\) 5.20848 + 1.00385i 1.64707 + 0.317446i
\(11\) 0.771055 + 0.0367299i 0.232482 + 0.0110745i 0.163499 0.986543i \(-0.447722\pi\)
0.0689822 + 0.997618i \(0.478025\pi\)
\(12\) −1.15646 2.24321i −0.333840 0.647560i
\(13\) −0.954795 0.827335i −0.264813 0.229461i 0.512326 0.858791i \(-0.328784\pi\)
−0.777138 + 0.629330i \(0.783329\pi\)
\(14\) 4.05565 2.60963i 1.08392 0.697453i
\(15\) −5.49609 + 0.790219i −1.41908 + 0.204034i
\(16\) −4.80743 + 0.926556i −1.20186 + 0.231639i
\(17\) 2.47986 3.48247i 0.601453 0.844623i −0.395827 0.918325i \(-0.629542\pi\)
0.997280 + 0.0737022i \(0.0234814\pi\)
\(18\) 0.845564 + 0.806243i 0.199301 + 0.190033i
\(19\) −0.629425 0.883904i −0.144400 0.202782i 0.736041 0.676937i \(-0.236693\pi\)
−0.880441 + 0.474155i \(0.842754\pi\)
\(20\) 0.547749 3.80968i 0.122480 0.851869i
\(21\) −3.11850 + 3.97009i −0.680513 + 0.866345i
\(22\) 1.40708i 0.299991i
\(23\) −3.59065 3.17918i −0.748703 0.662906i
\(24\) 2.04033 1.17798i 0.416480 0.240455i
\(25\) −3.08245 1.58911i −0.616490 0.317823i
\(26\) −1.42355 + 1.81020i −0.279182 + 0.355009i
\(27\) 4.09459 + 1.86993i 0.788003 + 0.359869i
\(28\) −2.03144 2.84937i −0.383906 0.538480i
\(29\) −3.69721 8.09575i −0.686554 1.50334i −0.855546 0.517726i \(-0.826779\pi\)
0.168992 0.985617i \(-0.445949\pi\)
\(30\) 1.91548 + 9.93845i 0.349717 + 1.81450i
\(31\) 0.180856 + 0.229977i 0.0324826 + 0.0413050i 0.802023 0.597293i \(-0.203757\pi\)
−0.769540 + 0.638598i \(0.779515\pi\)
\(32\) 1.52180 + 6.27295i 0.269019 + 1.10891i
\(33\) 0.481751 + 1.39193i 0.0838621 + 0.242304i
\(34\) −6.55578 4.21314i −1.12431 0.722548i
\(35\) −7.38599 + 2.17323i −1.24846 + 0.367343i
\(36\) 0.555157 0.640686i 0.0925262 0.106781i
\(37\) 6.61620 + 6.93887i 1.08770 + 1.14074i 0.989345 + 0.145592i \(0.0465087\pi\)
0.0983524 + 0.995152i \(0.468643\pi\)
\(38\) −1.55477 + 1.22269i −0.252218 + 0.198346i
\(39\) 0.788457 2.27810i 0.126254 0.364787i
\(40\) 3.57668 + 0.341531i 0.565523 + 0.0540009i
\(41\) 0.283675 + 0.966107i 0.0443025 + 0.150881i 0.978674 0.205420i \(-0.0658561\pi\)
−0.934371 + 0.356301i \(0.884038\pi\)
\(42\) 7.49900 + 5.33366i 1.15712 + 0.823002i
\(43\) 5.33475 + 0.767022i 0.813543 + 0.116970i 0.536513 0.843892i \(-0.319741\pi\)
0.277029 + 0.960862i \(0.410650\pi\)
\(44\) −1.01983 + 0.0485804i −0.153745 + 0.00732377i
\(45\) −0.932578 1.61527i −0.139021 0.240791i
\(46\) −5.47706 + 6.81341i −0.807549 + 1.00458i
\(47\) −5.52188 3.18806i −0.805448 0.465026i 0.0399243 0.999203i \(-0.487288\pi\)
−0.845373 + 0.534177i \(0.820622\pi\)
\(48\) −5.05067 7.85900i −0.729002 1.13435i
\(49\) −3.49318 + 6.06611i −0.499026 + 0.866587i
\(50\) −2.62602 + 5.75019i −0.371376 + 0.813200i
\(51\) 7.92766 + 1.92323i 1.11010 + 0.269306i
\(52\) 1.36115 + 0.969269i 0.188757 + 0.134413i
\(53\) −11.3409 3.92512i −1.55779 0.539157i −0.593692 0.804693i \(-0.702330\pi\)
−0.964101 + 0.265535i \(0.914451\pi\)
\(54\) 3.04954 7.61739i 0.414990 1.03659i
\(55\) −0.632855 + 2.15530i −0.0853341 + 0.290621i
\(56\) 2.56667 2.02079i 0.342986 0.270039i
\(57\) 1.11941 1.74184i 0.148270 0.230712i
\(58\) −14.4196 + 7.43384i −1.89339 + 0.976111i
\(59\) −1.25368 + 6.50471i −0.163215 + 0.846841i 0.804338 + 0.594172i \(0.202520\pi\)
−0.967553 + 0.252668i \(0.918692\pi\)
\(60\) 7.13708 1.73144i 0.921393 0.223528i
\(61\) −3.32793 1.33230i −0.426098 0.170584i 0.148695 0.988883i \(-0.452493\pi\)
−0.574792 + 0.818299i \(0.694917\pi\)
\(62\) 0.403043 0.349239i 0.0511865 0.0443534i
\(63\) −1.62738 0.476847i −0.205030 0.0600771i
\(64\) 1.89430 0.556216i 0.236787 0.0695270i
\(65\) 2.99470 2.13252i 0.371447 0.264506i
\(66\) 2.49257 0.997873i 0.306814 0.122830i
\(67\) 3.15064 6.11139i 0.384912 0.746625i −0.614183 0.789164i \(-0.710514\pi\)
0.999095 + 0.0425385i \(0.0135445\pi\)
\(68\) −2.82727 + 4.89698i −0.342857 + 0.593845i
\(69\) 3.08533 8.61526i 0.371430 1.03715i
\(70\) 4.59751 + 13.2595i 0.549508 + 1.58482i
\(71\) 8.76767 5.63464i 1.04053 0.668708i 0.0954127 0.995438i \(-0.469583\pi\)
0.945118 + 0.326729i \(0.105947\pi\)
\(72\) 0.622069 + 0.489201i 0.0733116 + 0.0576529i
\(73\) −0.813474 8.51908i −0.0952099 0.997083i −0.909243 0.416265i \(-0.863339\pi\)
0.814033 0.580818i \(-0.197267\pi\)
\(74\) 12.0601 12.6483i 1.40196 1.47033i
\(75\) 0.629017 6.58736i 0.0726326 0.760643i
\(76\) 0.939862 + 1.08466i 0.107810 + 0.124419i
\(77\) 0.936871 + 1.81477i 0.106766 + 0.206812i
\(78\) −4.21622 1.23799i −0.477393 0.140175i
\(79\) −2.36896 + 0.819906i −0.266529 + 0.0922467i −0.457064 0.889434i \(-0.651099\pi\)
0.190535 + 0.981680i \(0.438978\pi\)
\(80\) 0.677898 14.2308i 0.0757913 1.59106i
\(81\) −0.500183 + 10.5001i −0.0555759 + 1.16668i
\(82\) 1.73443 0.600293i 0.191536 0.0662912i
\(83\) 17.0454 + 5.00499i 1.87098 + 0.549369i 0.998113 + 0.0614078i \(0.0195590\pi\)
0.872865 + 0.487961i \(0.162259\pi\)
\(84\) 3.60684 5.61929i 0.393538 0.613115i
\(85\) 8.14693 + 9.40206i 0.883659 + 1.01980i
\(86\) 0.933854 9.77976i 0.100700 1.05458i
\(87\) 11.7192 12.2907i 1.25643 1.31771i
\(88\) −0.0905980 0.948785i −0.00965778 0.101141i
\(89\) −10.4991 8.25662i −1.11291 0.875200i −0.119845 0.992793i \(-0.538240\pi\)
−0.993062 + 0.117593i \(0.962482\pi\)
\(90\) −2.86012 + 1.83809i −0.301483 + 0.193751i
\(91\) 0.630742 3.28253i 0.0661197 0.344102i
\(92\) 5.12734 + 3.73444i 0.534562 + 0.389342i
\(93\) −0.279132 + 0.483471i −0.0289446 + 0.0501336i
\(94\) −5.32571 + 10.3304i −0.549305 + 1.06550i
\(95\) 2.93146 1.17358i 0.300761 0.120407i
\(96\) −10.0330 + 7.14444i −1.02398 + 0.729176i
\(97\) −5.40596 + 1.58733i −0.548892 + 0.161169i −0.544408 0.838821i \(-0.683246\pi\)
−0.00448422 + 0.999990i \(0.501427\pi\)
\(98\) 11.3478 + 5.83407i 1.14630 + 0.589330i
\(99\) −0.373922 + 0.324005i −0.0375806 + 0.0325637i
\(100\) 4.25830 + 1.70477i 0.425830 + 0.170477i
\(101\) −16.1652 + 3.92163i −1.60850 + 0.390217i −0.936592 0.350422i \(-0.886038\pi\)
−0.671904 + 0.740639i \(0.734523\pi\)
\(102\) 2.81413 14.6011i 0.278640 1.44572i
\(103\) −8.24652 + 4.25138i −0.812554 + 0.418901i −0.813833 0.581098i \(-0.802623\pi\)
0.00127916 + 0.999999i \(0.499593\pi\)
\(104\) −0.843340 + 1.31226i −0.0826963 + 0.128678i
\(105\) −9.08775 11.5427i −0.886874 1.12645i
\(106\) −6.16303 + 20.9893i −0.598606 + 2.03867i
\(107\) 3.53298 8.82496i 0.341546 0.853141i −0.653790 0.756676i \(-0.726822\pi\)
0.995336 0.0964654i \(-0.0307537\pi\)
\(108\) −5.62624 1.94726i −0.541385 0.187375i
\(109\) 2.52052 + 1.79485i 0.241422 + 0.171916i 0.694363 0.719624i \(-0.255686\pi\)
−0.452942 + 0.891540i \(0.649625\pi\)
\(110\) 3.97915 + 0.965332i 0.379397 + 0.0920408i
\(111\) −7.59976 + 16.6411i −0.721337 + 1.57951i
\(112\) −8.48814 9.78471i −0.802054 0.924569i
\(113\) 4.53586 + 7.05793i 0.426697 + 0.663954i 0.986329 0.164787i \(-0.0526937\pi\)
−0.559632 + 0.828741i \(0.689057\pi\)
\(114\) −3.26854 1.88709i −0.306127 0.176742i
\(115\) 11.4540 7.97309i 1.06809 0.743495i
\(116\) 5.88577 + 10.1944i 0.546480 + 0.946531i
\(117\) 0.808846 0.0385301i 0.0747778 0.00356211i
\(118\) 11.9522 + 1.71846i 1.10029 + 0.158197i
\(119\) 11.2605 + 1.06886i 1.03225 + 0.0979821i
\(120\) 1.93150 + 6.57810i 0.176321 + 0.600495i
\(121\) −10.3570 0.988975i −0.941547 0.0899068i
\(122\) −2.13714 + 6.17487i −0.193488 + 0.559046i
\(123\) −1.51023 + 1.18766i −0.136173 + 0.107087i
\(124\) −0.267038 0.280061i −0.0239807 0.0251502i
\(125\) −2.91949 + 3.36927i −0.261127 + 0.301357i
\(126\) −0.727071 + 3.00440i −0.0647726 + 0.267653i
\(127\) 10.6761 + 6.86113i 0.947353 + 0.608827i 0.920471 0.390812i \(-0.127806\pi\)
0.0268827 + 0.999639i \(0.491442\pi\)
\(128\) 3.04536 + 8.79899i 0.269174 + 0.777729i
\(129\) 2.42456 + 9.99418i 0.213471 + 0.879938i
\(130\) −4.14251 5.26763i −0.363322 0.462002i
\(131\) 3.71745 + 19.2879i 0.324795 + 1.68520i 0.666593 + 0.745422i \(0.267752\pi\)
−0.341798 + 0.939773i \(0.611036\pi\)
\(132\) −0.809298 1.77212i −0.0704404 0.154243i
\(133\) 1.19116 2.61216i 0.103287 0.226503i
\(134\) −11.4006 5.20646i −0.984858 0.449770i
\(135\) −8.09718 + 10.2964i −0.696895 + 0.886174i
\(136\) −4.69179 2.41878i −0.402318 0.207409i
\(137\) −7.34045 + 4.23801i −0.627137 + 0.362078i −0.779643 0.626225i \(-0.784599\pi\)
0.152505 + 0.988303i \(0.451266\pi\)
\(138\) −15.9538 4.87038i −1.35808 0.414595i
\(139\) 9.59921i 0.814194i 0.913385 + 0.407097i \(0.133459\pi\)
−0.913385 + 0.407097i \(0.866541\pi\)
\(140\) 9.45154 3.78999i 0.798801 0.320313i
\(141\) 1.73146 12.0426i 0.145816 1.01417i
\(142\) −11.0197 15.4750i −0.924752 1.29863i
\(143\) −0.705811 0.672990i −0.0590229 0.0562782i
\(144\) 1.82024 2.55617i 0.151687 0.213014i
\(145\) 25.4309 4.90140i 2.11192 0.407039i
\(146\) −15.4405 + 2.22001i −1.27787 + 0.183730i
\(147\) −13.2231 1.88602i −1.09062 0.155556i
\(148\) −9.58362 8.30425i −0.787769 0.682605i
\(149\) 8.30022 + 16.1002i 0.679981 + 1.31898i 0.935895 + 0.352279i \(0.114593\pi\)
−0.255914 + 0.966699i \(0.582377\pi\)
\(150\) −12.0485 0.573939i −0.983753 0.0468619i
\(151\) −11.9189 2.29717i −0.969944 0.186941i −0.320414 0.947278i \(-0.603822\pi\)
−0.649530 + 0.760336i \(0.725034\pi\)
\(152\) −0.969648 + 0.924557i −0.0786488 + 0.0749915i
\(153\) 0.389970 + 2.71230i 0.0315272 + 0.219277i
\(154\) 3.22298 1.86320i 0.259715 0.150141i
\(155\) −0.774439 + 0.353674i −0.0622044 + 0.0284078i
\(156\) −0.751709 + 3.09859i −0.0601849 + 0.248085i
\(157\) 15.5506 1.48491i 1.24108 0.118508i 0.546210 0.837648i \(-0.316070\pi\)
0.694866 + 0.719140i \(0.255464\pi\)
\(158\) 1.69831 + 4.24217i 0.135110 + 0.337489i
\(159\) −1.08959 22.8734i −0.0864104 1.81398i
\(160\) −18.7836 −1.48498
\(161\) 2.52745 12.4343i 0.199191 0.979961i
\(162\) 19.1615 1.50547
\(163\) −0.646012 13.5615i −0.0505996 1.06222i −0.871267 0.490810i \(-0.836701\pi\)
0.820667 0.571406i \(-0.193602\pi\)
\(164\) −0.494964 1.23636i −0.0386502 0.0965435i
\(165\) −4.26681 + 0.407431i −0.332171 + 0.0317185i
\(166\) 7.63442 31.4695i 0.592546 2.44251i
\(167\) 12.1370 5.54280i 0.939192 0.428914i 0.113818 0.993502i \(-0.463692\pi\)
0.825373 + 0.564587i \(0.190965\pi\)
\(168\) 5.39995 + 3.11361i 0.416615 + 0.240221i
\(169\) −1.62294 11.2878i −0.124842 0.868293i
\(170\) 16.4122 15.6490i 1.25876 1.20022i
\(171\) 0.682935 + 0.131625i 0.0522253 + 0.0100656i
\(172\) −7.12044 0.339188i −0.542929 0.0258629i
\(173\) 5.24777 + 10.1793i 0.398981 + 0.773915i 0.999673 0.0255656i \(-0.00813866\pi\)
−0.600692 + 0.799480i \(0.705108\pi\)
\(174\) −23.3948 20.2717i −1.77355 1.53679i
\(175\) −0.441734 9.16474i −0.0333920 0.692789i
\(176\) −3.74082 + 0.537849i −0.281975 + 0.0405419i
\(177\) −12.4118 + 2.39218i −0.932929 + 0.179807i
\(178\) −14.1226 + 19.8324i −1.05853 + 1.48650i
\(179\) 5.64624 + 5.38368i 0.422020 + 0.402395i 0.871107 0.491093i \(-0.163402\pi\)
−0.449088 + 0.893488i \(0.648251\pi\)
\(180\) 1.43096 + 2.00950i 0.106657 + 0.149779i
\(181\) −1.43524 + 9.98235i −0.106681 + 0.741982i 0.864326 + 0.502932i \(0.167745\pi\)
−0.971007 + 0.239050i \(0.923164\pi\)
\(182\) −6.03135 0.863718i −0.447074 0.0640230i
\(183\) 6.84008i 0.505633i
\(184\) −3.25445 + 4.94689i −0.239921 + 0.364689i
\(185\) −24.1619 + 13.9499i −1.77641 + 1.02561i
\(186\) 0.904487 + 0.466296i 0.0663202 + 0.0341904i
\(187\) 2.04001 2.59409i 0.149181 0.189699i
\(188\) 7.67120 + 3.50332i 0.559480 + 0.255506i
\(189\) 1.13873 + 11.8549i 0.0828307 + 0.862319i
\(190\) −2.39104 5.23565i −0.173464 0.379834i
\(191\) 0.525788 + 2.72805i 0.0380447 + 0.197395i 0.995978 0.0895955i \(-0.0285574\pi\)
−0.957934 + 0.286990i \(0.907345\pi\)
\(192\) 2.32870 + 2.96119i 0.168060 + 0.213705i
\(193\) −1.19792 4.93789i −0.0862281 0.355437i 0.912309 0.409502i \(-0.134297\pi\)
−0.998537 + 0.0540647i \(0.982782\pi\)
\(194\) 3.35900 + 9.70521i 0.241162 + 0.696793i
\(195\) 5.90142 + 3.79261i 0.422609 + 0.271594i
\(196\) 3.83664 8.42613i 0.274046 0.601866i
\(197\) 4.08767 4.71743i 0.291235 0.336103i −0.591211 0.806517i \(-0.701350\pi\)
0.882446 + 0.470414i \(0.155895\pi\)
\(198\) 0.622363 + 0.652715i 0.0442294 + 0.0463864i
\(199\) 0.862612 0.678365i 0.0611489 0.0480880i −0.587117 0.809502i \(-0.699737\pi\)
0.648266 + 0.761414i \(0.275495\pi\)
\(200\) −1.40047 + 4.04640i −0.0990283 + 0.286123i
\(201\) 13.0604 + 1.24711i 0.921207 + 0.0879646i
\(202\) 8.54235 + 29.0926i 0.601037 + 2.04695i
\(203\) 13.6480 19.1887i 0.957900 1.34678i
\(204\) −10.6798 1.53552i −0.747733 0.107508i
\(205\) −2.92672 + 0.139417i −0.204411 + 0.00973729i
\(206\) 8.45593 + 14.6461i 0.589152 + 1.02044i
\(207\) 3.07181 0.113416i 0.213505 0.00788298i
\(208\) 5.35668 + 3.09268i 0.371419 + 0.214439i
\(209\) −0.452856 0.704657i −0.0313247 0.0487422i
\(210\) −20.2280 + 17.5476i −1.39587 + 1.21090i
\(211\) −3.53239 + 7.73486i −0.243180 + 0.532490i −0.991385 0.130978i \(-0.958188\pi\)
0.748206 + 0.663467i \(0.230916\pi\)
\(212\) 15.4255 + 3.74218i 1.05943 + 0.257014i
\(213\) 16.1993 + 11.5355i 1.10996 + 0.790397i
\(214\) −16.3744 5.66725i −1.11933 0.387405i
\(215\) −5.82902 + 14.5602i −0.397536 + 0.992997i
\(216\) 1.56582 5.33270i 0.106541 0.362844i
\(217\) −0.287289 + 0.718784i −0.0195025 + 0.0487943i
\(218\) 3.04936 4.74490i 0.206529 0.321365i
\(219\) 14.5142 7.48258i 0.980778 0.505626i
\(220\) 0.562273 2.91735i 0.0379084 0.196688i
\(221\) −5.24892 + 1.27337i −0.353081 + 0.0856564i
\(222\) 30.9585 + 12.3939i 2.07780 + 0.831824i
\(223\) 7.08652 6.14051i 0.474549 0.411199i −0.384474 0.923136i \(-0.625617\pi\)
0.859023 + 0.511937i \(0.171072\pi\)
\(224\) −12.3534 + 11.7922i −0.825394 + 0.787898i
\(225\) 2.13276 0.626235i 0.142184 0.0417490i
\(226\) 12.4573 8.87080i 0.828647 0.590077i
\(227\) 10.4097 4.16742i 0.690917 0.276602i 0.000486348 1.00000i \(-0.499845\pi\)
0.690431 + 0.723398i \(0.257421\pi\)
\(228\) −1.25488 + 2.43413i −0.0831066 + 0.161204i
\(229\) −13.1638 + 22.8004i −0.869890 + 1.50669i −0.00778163 + 0.999970i \(0.502477\pi\)
−0.862108 + 0.506724i \(0.830856\pi\)
\(230\) −15.5104 20.1632i −1.02273 1.32952i
\(231\) −2.55036 + 2.94661i −0.167801 + 0.193873i
\(232\) −9.24442 + 5.94103i −0.606926 + 0.390048i
\(233\) −9.49925 7.47029i −0.622316 0.489395i 0.256507 0.966542i \(-0.417428\pi\)
−0.878823 + 0.477147i \(0.841671\pi\)
\(234\) −0.140307 1.46936i −0.00917216 0.0960552i
\(235\) 12.8040 13.4284i 0.835238 0.875973i
\(236\) 0.832854 8.72205i 0.0542142 0.567757i
\(237\) −3.13244 3.61503i −0.203474 0.234821i
\(238\) 0.969466 20.5952i 0.0628412 1.33499i
\(239\) −21.1205 6.20154i −1.36617 0.401144i −0.485237 0.874383i \(-0.661267\pi\)
−0.880934 + 0.473239i \(0.843085\pi\)
\(240\) 25.6899 8.89135i 1.65827 0.573934i
\(241\) 0.867091 18.2025i 0.0558542 1.17252i −0.780796 0.624787i \(-0.785186\pi\)
0.836650 0.547738i \(-0.184511\pi\)
\(242\) −0.902379 + 18.9433i −0.0580071 + 1.21772i
\(243\) −6.19374 + 2.14367i −0.397329 + 0.137517i
\(244\) 4.54922 + 1.33577i 0.291234 + 0.0855141i
\(245\) −14.7581 14.0402i −0.942863 0.896996i
\(246\) 2.29341 + 2.64673i 0.146222 + 0.168750i
\(247\) −0.130312 + 1.36469i −0.00829158 + 0.0868333i
\(248\) 0.249283 0.261440i 0.0158295 0.0166015i
\(249\) 3.22221 + 33.7445i 0.204199 + 2.13847i
\(250\) 6.38780 + 5.02342i 0.404000 + 0.317709i
\(251\) 3.93107 2.52634i 0.248127 0.159461i −0.410666 0.911786i \(-0.634704\pi\)
0.658793 + 0.752324i \(0.271067\pi\)
\(252\) 2.20264 + 0.423240i 0.138753 + 0.0266616i
\(253\) −2.65182 2.58321i −0.166718 0.162405i
\(254\) 11.5664 20.0336i 0.725741 1.25702i
\(255\) −10.8776 + 21.0996i −0.681182 + 1.32131i
\(256\) 19.4223 7.77552i 1.21389 0.485970i
\(257\) −2.97334 + 2.11731i −0.185472 + 0.132074i −0.669022 0.743243i \(-0.733287\pi\)
0.483550 + 0.875317i \(0.339347\pi\)
\(258\) 17.9866 5.28134i 1.11980 0.328802i
\(259\) −7.13286 + 24.3429i −0.443214 + 1.51259i
\(260\) −3.67486 + 3.18429i −0.227905 + 0.197481i
\(261\) 5.29587 + 2.12015i 0.327806 + 0.131234i
\(262\) 34.7960 8.44142i 2.14971 0.521513i
\(263\) −2.01688 + 10.4646i −0.124366 + 0.645272i 0.865227 + 0.501380i \(0.167174\pi\)
−0.989593 + 0.143892i \(0.954038\pi\)
\(264\) 1.61647 0.833348i 0.0994868 0.0512890i
\(265\) 18.8805 29.3787i 1.15982 1.80472i
\(266\) −4.85939 1.94224i −0.297949 0.119086i
\(267\) 7.18036 24.4541i 0.439431 1.49656i
\(268\) −3.37994 + 8.44268i −0.206463 + 0.515719i
\(269\) −18.9285 6.55123i −1.15409 0.399436i −0.318037 0.948078i \(-0.603024\pi\)
−0.836057 + 0.548643i \(0.815145\pi\)
\(270\) 19.4494 + 13.8499i 1.18365 + 0.842877i
\(271\) −12.0485 2.92294i −0.731896 0.177556i −0.147543 0.989056i \(-0.547136\pi\)
−0.584353 + 0.811500i \(0.698652\pi\)
\(272\) −8.69502 + 19.0394i −0.527213 + 1.15444i
\(273\) 6.26212 1.21058i 0.379001 0.0732674i
\(274\) 8.35300 + 12.9975i 0.504623 + 0.785209i
\(275\) −2.31837 1.33851i −0.139803 0.0807153i
\(276\) −2.97915 + 11.7312i −0.179324 + 0.706134i
\(277\) −2.78792 4.82881i −0.167510 0.290135i 0.770034 0.638003i \(-0.220239\pi\)
−0.937544 + 0.347868i \(0.886906\pi\)
\(278\) 17.4777 0.832567i 1.04824 0.0499340i
\(279\) −0.185616 0.0266875i −0.0111125 0.00159774i
\(280\) 3.95381 + 8.64478i 0.236286 + 0.516625i
\(281\) −1.49088 5.07748i −0.0889386 0.302897i 0.902996 0.429649i \(-0.141363\pi\)
−0.991934 + 0.126752i \(0.959545\pi\)
\(282\) −22.0767 2.10807i −1.31465 0.125534i
\(283\) 0.649487 1.87657i 0.0386080 0.111551i −0.924049 0.382273i \(-0.875141\pi\)
0.962657 + 0.270723i \(0.0872626\pi\)
\(284\) −10.8355 + 8.52116i −0.642971 + 0.505638i
\(285\) 4.15786 + 4.36063i 0.246290 + 0.258302i
\(286\) −1.16413 + 1.34347i −0.0688363 + 0.0794413i
\(287\) −1.83728 + 1.92905i −0.108451 + 0.113868i
\(288\) −3.48051 2.23679i −0.205091 0.131804i
\(289\) −0.417755 1.20702i −0.0245738 0.0710014i
\(290\) −11.1299 45.8780i −0.653570 2.69405i
\(291\) −6.64567 8.45065i −0.389576 0.495386i
\(292\) 2.14212 + 11.1144i 0.125358 + 0.650420i
\(293\) 0.423524 + 0.927387i 0.0247425 + 0.0541785i 0.921600 0.388141i \(-0.126883\pi\)
−0.896857 + 0.442320i \(0.854156\pi\)
\(294\) −2.28709 + 24.2394i −0.133386 + 1.41367i
\(295\) −17.5349 8.00792i −1.02092 0.466239i
\(296\) 7.31765 9.30515i 0.425330 0.540851i
\(297\) 3.08847 + 1.59222i 0.179211 + 0.0923897i
\(298\) 28.5944 16.5090i 1.65643 0.956341i
\(299\) 0.798088 + 6.00614i 0.0461546 + 0.347344i
\(300\) 8.75234i 0.505316i
\(301\) 5.30719 + 13.2352i 0.305901 + 0.762862i
\(302\) −3.14881 + 21.9005i −0.181194 + 1.26023i
\(303\) −18.4110 25.8546i −1.05768 1.48531i
\(304\) 3.84490 + 3.66611i 0.220520 + 0.210266i
\(305\) 6.05082 8.49718i 0.346469 0.486547i
\(306\) 4.90459 0.945283i 0.280377 0.0540382i
\(307\) 8.34158 1.19934i 0.476079 0.0684499i 0.0999015 0.994997i \(-0.468147\pi\)
0.376178 + 0.926547i \(0.377238\pi\)
\(308\) −1.46169 2.27163i −0.0832877 0.129438i
\(309\) −13.3793 11.5933i −0.761125 0.659518i
\(310\) 0.711121 + 1.37938i 0.0403889 + 0.0783436i
\(311\) −8.92175 0.424995i −0.505906 0.0240993i −0.206922 0.978357i \(-0.566345\pi\)
−0.298984 + 0.954258i \(0.596648\pi\)
\(312\) −2.92268 0.563300i −0.165464 0.0318906i
\(313\) −4.42742 + 4.22154i −0.250253 + 0.238615i −0.804814 0.593528i \(-0.797735\pi\)
0.554561 + 0.832143i \(0.312886\pi\)
\(314\) −4.05239 28.1850i −0.228689 1.59057i
\(315\) 2.46497 4.27500i 0.138885 0.240869i
\(316\) 3.01601 1.37737i 0.169664 0.0774830i
\(317\) −6.97512 + 28.7518i −0.391762 + 1.61486i 0.344926 + 0.938630i \(0.387904\pi\)
−0.736687 + 0.676233i \(0.763611\pi\)
\(318\) −41.5522 + 3.96775i −2.33013 + 0.222500i
\(319\) −2.55339 6.37807i −0.142963 0.357103i
\(320\) 0.273362 + 5.73857i 0.0152814 + 0.320796i
\(321\) 18.1385 1.01239
\(322\) −22.8589 3.52338i −1.27388 0.196350i
\(323\) −4.63905 −0.258124
\(324\) −0.661562 13.8879i −0.0367534 0.771549i
\(325\) 1.62838 + 4.06750i 0.0903263 + 0.225624i
\(326\) −24.6360 + 2.35245i −1.36446 + 0.130290i
\(327\) −1.39198 + 5.73783i −0.0769768 + 0.317303i
\(328\) 1.13086 0.516448i 0.0624415 0.0285161i
\(329\) −0.00948322 16.8696i −0.000522827 0.930052i
\(330\) 1.11190 + 7.73344i 0.0612082 + 0.425712i
\(331\) 21.4031 20.4078i 1.17642 1.12172i 0.186157 0.982520i \(-0.440397\pi\)
0.990265 0.139196i \(-0.0444517\pi\)
\(332\) −23.0721 4.44679i −1.26625 0.244049i
\(333\) −6.13823 0.292400i −0.336373 0.0160234i
\(334\) −11.1447 21.6177i −0.609811 1.18287i
\(335\) 15.1212 + 13.1026i 0.826159 + 0.715871i
\(336\) 11.3135 21.9754i 0.617200 1.19886i
\(337\) −11.9602 + 1.71962i −0.651515 + 0.0936738i −0.460144 0.887844i \(-0.652202\pi\)
−0.191371 + 0.981518i \(0.561293\pi\)
\(338\) −20.4115 + 3.93399i −1.11024 + 0.213981i
\(339\) −9.28600 + 13.0404i −0.504346 + 0.708255i
\(340\) −11.9087 11.3550i −0.645842 0.615809i
\(341\) 0.131003 + 0.183967i 0.00709419 + 0.00996239i
\(342\) 0.180423 1.25487i 0.00975614 0.0678554i
\(343\) −18.5202 + 0.0312334i −0.999999 + 0.00168644i
\(344\) 6.65455i 0.358790i
\(345\) 22.2468 + 14.6357i 1.19773 + 0.787959i
\(346\) 18.0787 10.4377i 0.971917 0.561136i
\(347\) −14.0571 7.24694i −0.754625 0.389036i 0.0375781 0.999294i \(-0.488036\pi\)
−0.792203 + 0.610257i \(0.791066\pi\)
\(348\) −13.8848 + 17.6560i −0.744305 + 0.946461i
\(349\) −8.20366 3.74649i −0.439132 0.200545i 0.183566 0.983007i \(-0.441236\pi\)
−0.622698 + 0.782463i \(0.713963\pi\)
\(350\) −16.6484 + 1.59917i −0.889892 + 0.0854792i
\(351\) −2.36243 5.17300i −0.126097 0.276114i
\(352\) 0.942988 + 4.89269i 0.0502614 + 0.260781i
\(353\) −2.66815 3.39283i −0.142011 0.180582i 0.709845 0.704358i \(-0.248765\pi\)
−0.851856 + 0.523776i \(0.824523\pi\)
\(354\) 5.43207 + 22.3913i 0.288711 + 1.19008i
\(355\) 9.91939 + 28.6602i 0.526466 + 1.52112i
\(356\) 14.8618 + 9.55108i 0.787672 + 0.506206i
\(357\) 6.09228 + 20.7053i 0.322438 + 1.09584i
\(358\) 9.31260 10.7473i 0.492186 0.568013i
\(359\) −5.16810 5.42015i −0.272762 0.286064i 0.573079 0.819500i \(-0.305749\pi\)
−0.845840 + 0.533436i \(0.820901\pi\)
\(360\) −1.81021 + 1.42356i −0.0954063 + 0.0750284i
\(361\) 5.82918 16.8423i 0.306799 0.886437i
\(362\) 18.2998 + 1.74742i 0.961816 + 0.0918423i
\(363\) −5.59307 19.0482i −0.293560 0.999773i
\(364\) −0.417771 + 4.40124i −0.0218972 + 0.230688i
\(365\) 24.6496 + 3.54408i 1.29022 + 0.185506i
\(366\) −12.4541 + 0.593260i −0.650984 + 0.0310102i
\(367\) 9.18778 + 15.9137i 0.479598 + 0.830689i 0.999726 0.0233998i \(-0.00744908\pi\)
−0.520128 + 0.854088i \(0.674116\pi\)
\(368\) 20.2075 + 11.9568i 1.05339 + 0.623289i
\(369\) −0.558907 0.322685i −0.0290955 0.0167983i
\(370\) 27.4948 + 42.7827i 1.42938 + 2.22417i
\(371\) −6.02654 31.1743i −0.312882 1.61849i
\(372\) 0.306735 0.671656i 0.0159035 0.0348237i
\(373\) 11.8126 + 2.86570i 0.611633 + 0.148381i 0.529598 0.848249i \(-0.322343\pi\)
0.0820351 + 0.996629i \(0.473858\pi\)
\(374\) −4.90011 3.48936i −0.253379 0.180430i
\(375\) −8.03891 2.78230i −0.415128 0.143677i
\(376\) −2.92594 + 7.30866i −0.150894 + 0.376915i
\(377\) −3.16782 + 10.7886i −0.163151 + 0.555642i
\(378\) 21.4860 3.10156i 1.10512 0.159527i
\(379\) −20.5129 + 31.9187i −1.05368 + 1.63955i −0.337959 + 0.941161i \(0.609737\pi\)
−0.715717 + 0.698391i \(0.753900\pi\)
\(380\) −3.71216 + 1.91375i −0.190430 + 0.0981733i
\(381\) −4.58282 + 23.7780i −0.234785 + 1.21818i
\(382\) 4.92148 1.19394i 0.251805 0.0610872i
\(383\) 14.3071 + 5.72771i 0.731060 + 0.292672i 0.707171 0.707042i \(-0.249971\pi\)
0.0238890 + 0.999715i \(0.492395\pi\)
\(384\) −13.4272 + 11.6348i −0.685205 + 0.593734i
\(385\) −5.77482 + 1.40439i −0.294312 + 0.0715746i
\(386\) −8.88674 + 2.60938i −0.452323 + 0.132814i
\(387\) −2.81394 + 2.00380i −0.143041 + 0.101859i
\(388\) 6.91819 2.76963i 0.351218 0.140606i
\(389\) 4.89432 9.49366i 0.248152 0.481348i −0.731555 0.681782i \(-0.761205\pi\)
0.979707 + 0.200435i \(0.0642354\pi\)
\(390\) 6.39353 11.0739i 0.323749 0.560750i
\(391\) −19.9757 + 4.62042i −1.01022 + 0.233665i
\(392\) 8.02740 + 3.20322i 0.405445 + 0.161787i
\(393\) −31.5312 + 20.2639i −1.59054 + 1.02218i
\(394\) −8.94377 7.03346i −0.450581 0.354341i
\(395\) −0.693419 7.26181i −0.0348897 0.365381i
\(396\) 0.451589 0.473613i 0.0226932 0.0237999i
\(397\) 3.04396 31.8778i 0.152772 1.59990i −0.516104 0.856526i \(-0.672618\pi\)
0.668876 0.743374i \(-0.266776\pi\)
\(398\) −1.30995 1.51176i −0.0656618 0.0757777i
\(399\) 5.47204 + 0.257583i 0.273945 + 0.0128953i
\(400\) 16.2911 + 4.78349i 0.814553 + 0.239174i
\(401\) 23.6792 8.19544i 1.18248 0.409261i 0.336094 0.941828i \(-0.390894\pi\)
0.846387 + 0.532568i \(0.178773\pi\)
\(402\) 1.13791 23.8878i 0.0567540 1.19141i
\(403\) 0.0175876 0.369209i 0.000876100 0.0183916i
\(404\) 20.7909 7.19578i 1.03438 0.358004i
\(405\) −29.3507 8.61814i −1.45845 0.428239i
\(406\) −36.1215 23.1852i −1.79268 1.15066i
\(407\) 4.84659 + 5.59326i 0.240237 + 0.277248i
\(408\) 0.957424 10.0266i 0.0473995 0.496390i
\(409\) 9.69064 10.1633i 0.479171 0.502541i −0.439129 0.898424i \(-0.644713\pi\)
0.918301 + 0.395883i \(0.129562\pi\)
\(410\) 0.507685 + 5.31672i 0.0250728 + 0.262574i
\(411\) −12.7131 9.99769i −0.627091 0.493150i
\(412\) 10.3233 6.63437i 0.508592 0.326852i
\(413\) −16.5594 + 5.74169i −0.814834 + 0.282530i
\(414\) −0.472929 5.58314i −0.0232432 0.274396i
\(415\) −25.8479 + 44.7699i −1.26882 + 2.19767i
\(416\) 3.73682 7.24843i 0.183213 0.355383i
\(417\) −17.0045 + 6.80756i −0.832712 + 0.333368i
\(418\) −1.24372 + 0.885652i −0.0608326 + 0.0433187i
\(419\) −32.6724 + 9.59347i −1.59615 + 0.468672i −0.954471 0.298302i \(-0.903580\pi\)
−0.641678 + 0.766974i \(0.721761\pi\)
\(420\) 13.4166 + 14.0551i 0.654663 + 0.685818i
\(421\) 18.3060 15.8623i 0.892181 0.773079i −0.0825208 0.996589i \(-0.526297\pi\)
0.974702 + 0.223510i \(0.0717516\pi\)
\(422\) 14.3896 + 5.76072i 0.700474 + 0.280428i
\(423\) 3.97158 0.963496i 0.193105 0.0468468i
\(424\) −2.80424 + 14.5498i −0.136186 + 0.706600i
\(425\) −13.1781 + 6.79377i −0.639231 + 0.329546i
\(426\) 19.5982 30.4953i 0.949534 1.47750i
\(427\) −1.35503 9.38695i −0.0655743 0.454266i
\(428\) −3.54219 + 12.0636i −0.171218 + 0.583115i
\(429\) 0.691617 1.72758i 0.0333916 0.0834082i
\(430\) 27.0160 + 9.35033i 1.30283 + 0.450913i
\(431\) 29.4125 + 20.9445i 1.41675 + 1.00886i 0.994757 + 0.102264i \(0.0326086\pi\)
0.421993 + 0.906599i \(0.361331\pi\)
\(432\) −21.4170 5.19571i −1.03043 0.249979i
\(433\) 4.59515 10.0620i 0.220829 0.483548i −0.766498 0.642246i \(-0.778003\pi\)
0.987327 + 0.158699i \(0.0507299\pi\)
\(434\) 1.33364 + 0.460739i 0.0640168 + 0.0221162i
\(435\) 26.7176 + 41.5734i 1.28101 + 1.99329i
\(436\) −3.54430 2.04630i −0.169741 0.0980001i
\(437\) −0.550047 + 5.17485i −0.0263123 + 0.247547i
\(438\) −14.8827 25.7777i −0.711125 1.23170i
\(439\) 1.22656 0.0584284i 0.0585407 0.00278864i −0.0182911 0.999833i \(-0.505823\pi\)
0.0768318 + 0.997044i \(0.475520\pi\)
\(440\) 2.74527 + 0.394710i 0.130876 + 0.0188171i
\(441\) −1.06267 4.35900i −0.0506035 0.207571i
\(442\) 2.77375 + 9.44651i 0.131934 + 0.449325i
\(443\) −9.37556 0.895257i −0.445446 0.0425350i −0.130077 0.991504i \(-0.541522\pi\)
−0.315369 + 0.948969i \(0.602128\pi\)
\(444\) 7.91402 22.8661i 0.375583 1.08517i
\(445\) 30.5523 24.0266i 1.44832 1.13897i
\(446\) −11.7949 12.3702i −0.558507 0.585745i
\(447\) −22.6342 + 26.1213i −1.07056 + 1.23550i
\(448\) 3.78239 + 3.60245i 0.178701 + 0.170200i
\(449\) 8.20124 + 5.27062i 0.387041 + 0.248736i 0.719662 0.694325i \(-0.244297\pi\)
−0.332621 + 0.943060i \(0.607933\pi\)
\(450\) −1.32520 3.82890i −0.0624704 0.180496i
\(451\) 0.183244 + 0.755340i 0.00862861 + 0.0355676i
\(452\) −6.85950 8.72256i −0.322644 0.410275i
\(453\) −4.38330 22.7427i −0.205946 1.06855i
\(454\) −8.49068 18.5920i −0.398488 0.872566i
\(455\) 8.85010 + 4.03569i 0.414899 + 0.189196i
\(456\) −2.32546 1.06200i −0.108899 0.0497327i
\(457\) 0.400077 0.508739i 0.0187148 0.0237978i −0.776606 0.629987i \(-0.783060\pi\)
0.795320 + 0.606189i \(0.207303\pi\)
\(458\) 42.6555 + 21.9904i 1.99316 + 1.02755i
\(459\) 16.6660 9.62210i 0.777901 0.449121i
\(460\) −14.0784 + 11.9378i −0.656411 + 0.556604i
\(461\) 30.0146i 1.39792i −0.715161 0.698959i \(-0.753647\pi\)
0.715161 0.698959i \(-0.246353\pi\)
\(462\) 5.58624 + 4.38798i 0.259895 + 0.204148i
\(463\) 3.87941 26.9819i 0.180291 1.25395i −0.675783 0.737101i \(-0.736194\pi\)
0.856074 0.516853i \(-0.172897\pi\)
\(464\) 25.2752 + 35.4941i 1.17337 + 1.64777i
\(465\) −1.17573 1.12106i −0.0545232 0.0519878i
\(466\) −12.7776 + 17.9436i −0.591911 + 0.831223i
\(467\) 12.6693 2.44181i 0.586265 0.112993i 0.112511 0.993650i \(-0.464111\pi\)
0.473754 + 0.880657i \(0.342899\pi\)
\(468\) −1.06012 + 0.152423i −0.0490042 + 0.00704574i
\(469\) 18.1704 0.875800i 0.839030 0.0404407i
\(470\) −25.5603 22.1481i −1.17901 1.02161i
\(471\) 13.6586 + 26.4940i 0.629356 + 1.22078i
\(472\) 8.16990 + 0.389180i 0.376050 + 0.0179135i
\(473\) 4.08522 + 0.787361i 0.187838 + 0.0362029i
\(474\) −6.31036 + 6.01692i −0.289845 + 0.276366i
\(475\) 0.535548 + 3.72482i 0.0245726 + 0.170907i
\(476\) −14.9605 + 0.00841002i −0.685714 + 0.000385472i
\(477\) 6.99692 3.19539i 0.320367 0.146307i
\(478\) −9.45958 + 38.9929i −0.432671 + 1.78350i
\(479\) −15.0435 + 1.43648i −0.687353 + 0.0656343i −0.432888 0.901448i \(-0.642505\pi\)
−0.254465 + 0.967082i \(0.581899\pi\)
\(480\) −13.3210 33.2742i −0.608016 1.51875i
\(481\) −0.576347 12.0990i −0.0262792 0.551668i
\(482\) −33.2173 −1.51301
\(483\) 23.8191 4.34092i 1.08381 0.197519i
\(484\) 13.7609 0.625496
\(485\) −0.780122 16.3768i −0.0354235 0.743631i
\(486\) 4.44029 + 11.0913i 0.201416 + 0.503112i
\(487\) 6.86721 0.655739i 0.311183 0.0297144i 0.0617037 0.998095i \(-0.480347\pi\)
0.249479 + 0.968380i \(0.419741\pi\)
\(488\) −1.04348 + 4.30128i −0.0472360 + 0.194710i
\(489\) 23.5652 10.7619i 1.06566 0.486669i
\(490\) −24.2837 + 28.0886i −1.09702 + 1.26891i
\(491\) 2.59723 + 18.0641i 0.117211 + 0.815223i 0.960603 + 0.277924i \(0.0896463\pi\)
−0.843392 + 0.537299i \(0.819445\pi\)
\(492\) 1.83913 1.75360i 0.0829142 0.0790585i
\(493\) −37.3617 7.20089i −1.68269 0.324312i
\(494\) 2.49606 + 0.118902i 0.112303 + 0.00534966i
\(495\) −0.659740 1.27972i −0.0296531 0.0575190i
\(496\) −1.08254 0.938023i −0.0486073 0.0421185i
\(497\) 24.5162 + 12.6215i 1.09970 + 0.566154i
\(498\) 61.1606 8.79357i 2.74067 0.394049i
\(499\) 4.68633 0.903216i 0.209789 0.0404335i −0.0832739 0.996527i \(-0.526538\pi\)
0.293063 + 0.956093i \(0.405326\pi\)
\(500\) 3.42034 4.80320i 0.152962 0.214806i
\(501\) 18.4261 + 17.5692i 0.823217 + 0.784936i
\(502\) −4.94078 6.93836i −0.220518 0.309674i
\(503\) −4.67140 + 32.4903i −0.208287 + 1.44867i 0.570456 + 0.821328i \(0.306767\pi\)
−0.778743 + 0.627343i \(0.784142\pi\)
\(504\) −0.296814 + 2.07266i −0.0132212 + 0.0923236i
\(505\) 48.4048i 2.15398i
\(506\) −4.47337 + 5.05234i −0.198866 + 0.224604i
\(507\) 18.8448 10.8800i 0.836926 0.483199i
\(508\) −14.9194 7.69146i −0.661939 0.341253i
\(509\) 22.8632 29.0729i 1.01339 1.28863i 0.0564364 0.998406i \(-0.482026\pi\)
0.956957 0.290229i \(-0.0937314\pi\)
\(510\) 39.3605 + 17.9753i 1.74291 + 0.795960i
\(511\) 18.4362 13.1440i 0.815568 0.581454i
\(512\) −8.10585 17.7493i −0.358231 0.784418i
\(513\) −0.924393 4.79621i −0.0408129 0.211758i
\(514\) 4.11297 + 5.23007i 0.181415 + 0.230688i
\(515\) −6.36513 26.2374i −0.280481 1.15616i
\(516\) −4.44882 12.8540i −0.195848 0.565867i
\(517\) −4.14057 2.66098i −0.182102 0.117030i
\(518\) 44.9409 + 10.8758i 1.97459 + 0.477855i
\(519\) −14.3104 + 16.5151i −0.628156 + 0.724931i
\(520\) −3.13244 3.28520i −0.137366 0.144066i
\(521\) −29.6026 + 23.2797i −1.29691 + 1.01990i −0.299073 + 0.954230i \(0.596677\pi\)
−0.997841 + 0.0656740i \(0.979080\pi\)
\(522\) 3.40092 9.82632i 0.148854 0.430086i
\(523\) −22.8933 2.18605i −1.00106 0.0955892i −0.418361 0.908281i \(-0.637395\pi\)
−0.582694 + 0.812691i \(0.698002\pi\)
\(524\) −7.31955 24.9281i −0.319756 1.08899i
\(525\) 15.9216 7.28195i 0.694874 0.317810i
\(526\) 19.2282 + 2.76460i 0.838390 + 0.120542i
\(527\) 1.24938 0.0595154i 0.0544240 0.00259253i
\(528\) −3.60568 6.24523i −0.156917 0.271789i
\(529\) 2.78557 + 22.8307i 0.121112 + 0.992639i
\(530\) −55.1286 31.8285i −2.39463 1.38254i
\(531\) −2.29553 3.57191i −0.0996174 0.155008i
\(532\) −1.23993 + 3.58906i −0.0537577 + 0.155606i
\(533\) 0.528443 1.15713i 0.0228894 0.0501208i
\(534\) −45.1474 10.9526i −1.95372 0.473968i
\(535\) 22.5327 + 16.0455i 0.974175 + 0.693707i
\(536\) −8.02255 2.77663i −0.346521 0.119932i
\(537\) −5.53269 + 13.8200i −0.238753 + 0.596377i
\(538\) −10.2864 + 35.0323i −0.443479 + 1.51035i
\(539\) −2.91624 + 4.54900i −0.125611 + 0.195939i
\(540\) 9.36665 14.5748i 0.403076 0.627199i
\(541\) 9.63664 4.96803i 0.414311 0.213592i −0.238452 0.971154i \(-0.576640\pi\)
0.652763 + 0.757562i \(0.273610\pi\)
\(542\) −4.27693 + 22.1908i −0.183710 + 0.953177i
\(543\) −18.7010 + 4.53682i −0.802538 + 0.194694i
\(544\) 25.6192 + 10.2564i 1.09841 + 0.439739i
\(545\) −6.80496 + 5.89653i −0.291493 + 0.252580i
\(546\) −2.74729 11.2967i −0.117573 0.483456i
\(547\) 41.7491 12.2586i 1.78506 0.524142i 0.789129 0.614228i \(-0.210533\pi\)
0.995934 + 0.0900865i \(0.0287144\pi\)
\(548\) 9.13199 6.50286i 0.390099 0.277788i
\(549\) 2.13304 0.853942i 0.0910361 0.0364453i
\(550\) −2.23601 + 4.33726i −0.0953439 + 0.184941i
\(551\) −4.82875 + 8.36365i −0.205712 + 0.356303i
\(552\) −11.0711 2.25685i −0.471218 0.0960577i
\(553\) −5.01493 4.34052i −0.213256 0.184578i
\(554\) −8.55024 + 5.49491i −0.363265 + 0.233456i
\(555\) −41.8465 32.9084i −1.77628 1.39689i
\(556\) −1.20686 12.6388i −0.0511822 0.536005i
\(557\) −12.4749 + 13.0833i −0.528577 + 0.554356i −0.932842 0.360286i \(-0.882679\pi\)
0.404265 + 0.914642i \(0.367527\pi\)
\(558\) −0.0324922 + 0.340274i −0.00137550 + 0.0144049i
\(559\) −4.45901 5.14598i −0.188596 0.217652i
\(560\) 33.4940 17.2912i 1.41538 0.730686i
\(561\) 6.04202 + 1.77410i 0.255094 + 0.0749025i
\(562\) −9.11549 + 3.15490i −0.384514 + 0.133082i
\(563\) 0.178886 3.75527i 0.00753914 0.158266i −0.991958 0.126565i \(-0.959605\pi\)
0.999497 0.0317006i \(-0.0100923\pi\)
\(564\) −0.765679 + 16.0736i −0.0322409 + 0.676820i
\(565\) −23.0713 + 7.98506i −0.970617 + 0.335934i
\(566\) −3.47309 1.01979i −0.145985 0.0428650i
\(567\) −24.7133 + 12.7582i −1.03786 + 0.535794i
\(568\) −8.42689 9.72515i −0.353585 0.408058i
\(569\) 1.36314 14.2754i 0.0571458 0.598457i −0.920862 0.389889i \(-0.872513\pi\)
0.978008 0.208569i \(-0.0668805\pi\)
\(570\) 7.57899 7.94861i 0.317449 0.332931i
\(571\) −2.56364 26.8477i −0.107285 1.12354i −0.875457 0.483296i \(-0.839439\pi\)
0.768172 0.640244i \(-0.221167\pi\)
\(572\) 1.01392 + 0.797355i 0.0423941 + 0.0333391i
\(573\) −4.45971 + 2.86608i −0.186307 + 0.119732i
\(574\) 3.67167 + 3.17791i 0.153252 + 0.132643i
\(575\) 6.01593 + 15.5056i 0.250881 + 0.646630i
\(576\) −0.632706 + 1.09588i −0.0263627 + 0.0456616i
\(577\) 6.55671 12.7182i 0.272959 0.529467i −0.712016 0.702163i \(-0.752218\pi\)
0.984975 + 0.172696i \(0.0552479\pi\)
\(578\) −2.16145 + 0.865314i −0.0899045 + 0.0359923i
\(579\) 7.89766 5.62390i 0.328215 0.233721i
\(580\) −32.8673 + 9.65072i −1.36474 + 0.400724i
\(581\) 11.1068 + 45.6707i 0.460787 + 1.89474i
\(582\) −14.8101 + 12.8330i −0.613898 + 0.531946i
\(583\) −8.60029 3.44304i −0.356187 0.142596i
\(584\) −10.2685 + 2.49111i −0.424914 + 0.103083i
\(585\) −0.445950 + 2.31381i −0.0184378 + 0.0956642i
\(586\) 1.65180 0.851564i 0.0682354 0.0351778i
\(587\) 1.23134 1.91600i 0.0508229 0.0790820i −0.814912 0.579584i \(-0.803215\pi\)
0.865735 + 0.500502i \(0.166851\pi\)
\(588\) 17.6473 + 0.820759i 0.727762 + 0.0338475i
\(589\) 0.0894422 0.304612i 0.00368540 0.0125513i
\(590\) −13.0595 + 32.6211i −0.537653 + 1.34299i
\(591\) 11.2556 + 3.89559i 0.462992 + 0.160243i
\(592\) −38.2362 27.2279i −1.57150 1.11906i
\(593\) −23.5573 5.71493i −0.967381 0.234684i −0.279208 0.960231i \(-0.590072\pi\)
−0.688173 + 0.725547i \(0.741587\pi\)
\(594\) 2.63115 5.76141i 0.107957 0.236394i
\(595\) −10.7480 + 31.1108i −0.440624 + 1.27542i
\(596\) −12.9527 20.1548i −0.530563 0.825572i
\(597\) 1.81343 + 1.04699i 0.0742189 + 0.0428503i
\(598\) 10.8664 1.97405i 0.444362 0.0807247i
\(599\) 16.1128 + 27.9083i 0.658353 + 1.14030i 0.981042 + 0.193796i \(0.0620800\pi\)
−0.322689 + 0.946505i \(0.604587\pi\)
\(600\) −8.16115 + 0.388764i −0.333178 + 0.0158712i
\(601\) 25.6441 + 3.68707i 1.04605 + 0.150399i 0.643847 0.765154i \(-0.277337\pi\)
0.402198 + 0.915553i \(0.368246\pi\)
\(602\) 23.6375 10.8110i 0.963395 0.440622i
\(603\) 1.24160 + 4.22850i 0.0505618 + 0.172198i
\(604\) 15.9818 + 1.52608i 0.650290 + 0.0620952i
\(605\) 9.90223 28.6106i 0.402583 1.16319i
\(606\) −45.4778 + 35.7641i −1.84741 + 1.45282i
\(607\) 16.4123 + 17.2127i 0.666156 + 0.698644i 0.966927 0.255052i \(-0.0820927\pi\)
−0.300772 + 0.953696i \(0.597244\pi\)
\(608\) 4.58683 5.29348i 0.186021 0.214679i
\(609\) 43.6706 + 10.5684i 1.76962 + 0.428253i
\(610\) −15.9960 10.2800i −0.647660 0.416226i
\(611\) 2.63467 + 7.61238i 0.106587 + 0.307964i
\(612\) −0.854459 3.52213i −0.0345394 0.142374i
\(613\) 22.5583 + 28.6852i 0.911120 + 1.15858i 0.986880 + 0.161458i \(0.0516195\pi\)
−0.0757594 + 0.997126i \(0.524138\pi\)
\(614\) −2.90718 15.0839i −0.117324 0.608736i
\(615\) −2.32254 5.08565i −0.0936537 0.205073i
\(616\) 2.05327 1.46386i 0.0827285 0.0589808i
\(617\) 30.8074 + 14.0693i 1.24026 + 0.566408i 0.924046 0.382280i \(-0.124861\pi\)
0.316213 + 0.948688i \(0.397588\pi\)
\(618\) −19.9480 + 25.3659i −0.802425 + 1.02037i
\(619\) −2.82646 1.45714i −0.113605 0.0585674i 0.400487 0.916302i \(-0.368841\pi\)
−0.514092 + 0.857735i \(0.671871\pi\)
\(620\) 0.975200 0.563032i 0.0391650 0.0226119i
\(621\) −8.75737 19.7317i −0.351421 0.791807i
\(622\) 16.2811i 0.652813i
\(623\) 5.00956 34.9819i 0.200704 1.40152i
\(624\) −1.67967 + 11.6823i −0.0672404 + 0.467668i
\(625\) −17.5833 24.6923i −0.703332 0.987691i
\(626\) 8.07035 + 7.69507i 0.322556 + 0.307557i
\(627\) 0.927105 1.30194i 0.0370250 0.0519944i
\(628\) −20.2881 + 3.91020i −0.809582 + 0.156034i
\(629\) 40.5716 5.83332i 1.61770 0.232590i
\(630\) −7.99748 4.11730i −0.318627 0.164037i
\(631\) 10.8739 + 9.42230i 0.432884 + 0.375096i 0.843872 0.536545i \(-0.180271\pi\)
−0.410988 + 0.911641i \(0.634816\pi\)
\(632\) 1.41830 + 2.75112i 0.0564169 + 0.109434i
\(633\) −16.2070 0.772033i −0.644169 0.0306856i
\(634\) 52.9548 + 10.2062i 2.10310 + 0.405340i
\(635\) −26.7273 + 25.4845i −1.06064 + 1.01132i
\(636\) 4.31037 + 29.9793i 0.170917 + 1.18876i
\(637\) 8.35398 2.90186i 0.330997 0.114976i
\(638\) −11.3914 + 5.20227i −0.450989 + 0.205960i
\(639\) −1.57489 + 6.49180i −0.0623018 + 0.256811i
\(640\) −26.9724 + 2.57555i −1.06618 + 0.101808i
\(641\) 2.92486 + 7.30596i 0.115525 + 0.288568i 0.974850 0.222862i \(-0.0715401\pi\)
−0.859325 + 0.511430i \(0.829116\pi\)
\(642\) −1.57320 33.0255i −0.0620892 1.30341i
\(643\) −33.2719 −1.31212 −0.656058 0.754711i \(-0.727777\pi\)
−0.656058 + 0.754711i \(0.727777\pi\)
\(644\) −1.76447 + 16.6894i −0.0695298 + 0.657655i
\(645\) −29.9264 −1.17835
\(646\) 0.402358 + 8.44654i 0.0158306 + 0.332325i
\(647\) 4.94683 + 12.3566i 0.194480 + 0.485787i 0.993270 0.115823i \(-0.0369505\pi\)
−0.798790 + 0.601610i \(0.794526\pi\)
\(648\) 12.9204 1.23375i 0.507563 0.0484664i
\(649\) −1.20557 + 4.96944i −0.0473229 + 0.195067i
\(650\) 7.26465 3.31765i 0.284943 0.130129i
\(651\) −1.47703 0.000830308i −0.0578892 3.25423e-5i
\(652\) 2.55559 + 17.7745i 0.100084 + 0.696103i
\(653\) −7.05530 + 6.72721i −0.276095 + 0.263256i −0.815457 0.578818i \(-0.803514\pi\)
0.539362 + 0.842074i \(0.318666\pi\)
\(654\) 10.5679 + 2.03679i 0.413236 + 0.0796447i
\(655\) −57.0957 2.71980i −2.23091 0.106271i
\(656\) −2.25890 4.38165i −0.0881951 0.171075i
\(657\) 4.14541 + 3.59202i 0.161728 + 0.140138i
\(658\) −30.7145 + 1.48042i −1.19737 + 0.0577126i
\(659\) 1.49163 0.214464i 0.0581056 0.00835432i −0.113201 0.993572i \(-0.536110\pi\)
0.171306 + 0.985218i \(0.445201\pi\)
\(660\) 5.56668 1.07289i 0.216683 0.0417621i
\(661\) 2.85527 4.00967i 0.111057 0.155958i −0.755306 0.655372i \(-0.772512\pi\)
0.866363 + 0.499414i \(0.166451\pi\)
\(662\) −39.0138 37.1996i −1.51632 1.44580i
\(663\) −5.97814 8.39512i −0.232172 0.326040i
\(664\) 3.12160 21.7112i 0.121142 0.842559i
\(665\) 6.56986 + 5.16062i 0.254768 + 0.200120i
\(666\) 11.2015i 0.434050i
\(667\) −12.4625 + 40.8231i −0.482550 + 1.58068i
\(668\) −15.2834 + 8.82385i −0.591331 + 0.341405i
\(669\) 15.9032 + 8.19866i 0.614853 + 0.316979i
\(670\) 22.5450 28.6683i 0.870989 1.10755i
\(671\) −2.51708 1.14951i −0.0971708 0.0443764i
\(672\) −29.6499 13.5205i −1.14377 0.521566i
\(673\) 12.5580 + 27.4982i 0.484076 + 1.05998i 0.981323 + 0.192369i \(0.0616170\pi\)
−0.497247 + 0.867609i \(0.665656\pi\)
\(674\) 4.16834 + 21.6274i 0.160558 + 0.833056i
\(675\) −9.64982 12.2707i −0.371422 0.472301i
\(676\) 3.55601 + 14.6581i 0.136769 + 0.563771i
\(677\) −16.7020 48.2572i −0.641910 1.85468i −0.502808 0.864398i \(-0.667700\pi\)
−0.139102 0.990278i \(-0.544422\pi\)
\(678\) 24.5486 + 15.7764i 0.942783 + 0.605890i
\(679\) −10.7942 10.2807i −0.414244 0.394537i
\(680\) 10.0590 11.6087i 0.385746 0.445174i
\(681\) 14.7647 + 15.4848i 0.565785 + 0.593378i
\(682\) 0.323596 0.254478i 0.0123911 0.00974448i
\(683\) 9.59314 27.7175i 0.367071 1.06058i −0.598652 0.801009i \(-0.704297\pi\)
0.965723 0.259573i \(-0.0835819\pi\)
\(684\) −0.915735 0.0874421i −0.0350140 0.00334343i
\(685\) −6.94894 23.6659i −0.265505 0.904229i
\(686\) 1.66318 + 33.7179i 0.0635005 + 1.28736i
\(687\) −49.7252 7.14940i −1.89713 0.272767i
\(688\) −26.3571 + 1.25555i −1.00486 + 0.0478672i
\(689\) 7.58085 + 13.1304i 0.288807 + 0.500229i
\(690\) 24.7183 41.7752i 0.941011 1.59035i
\(691\) 40.3880 + 23.3180i 1.53643 + 0.887060i 0.999044 + 0.0437264i \(0.0139230\pi\)
0.537390 + 0.843334i \(0.319410\pi\)
\(692\) −8.18927 12.7428i −0.311309 0.484407i
\(693\) −1.23728 0.427449i −0.0470004 0.0162374i
\(694\) −11.9756 + 26.2230i −0.454589 + 0.995411i
\(695\) −27.1461 6.58557i −1.02971 0.249805i
\(696\) −17.0802 12.1627i −0.647422 0.461027i
\(697\) 4.06791 + 1.40792i 0.154083 + 0.0533287i
\(698\) −6.10988 + 15.2617i −0.231262 + 0.577665i
\(699\) 6.49654 22.1252i 0.245722 0.836851i
\(700\) 1.73385 + 12.0112i 0.0655332 + 0.453982i
\(701\) 10.6460 16.5655i 0.402095 0.625672i −0.579876 0.814705i \(-0.696899\pi\)
0.981971 + 0.189033i \(0.0605353\pi\)
\(702\) −9.21382 + 4.75005i −0.347753 + 0.179279i
\(703\) 1.96889 10.2156i 0.0742583 0.385288i
\(704\) 1.48104 0.359295i 0.0558186 0.0135415i
\(705\) 32.8680 + 13.1584i 1.23788 + 0.495573i
\(706\) −5.94606 + 5.15229i −0.223783 + 0.193909i
\(707\) −30.3880 31.8342i −1.14286 1.19725i
\(708\) 16.0413 4.71014i 0.602868 0.177018i
\(709\) −0.961501 + 0.684682i −0.0361099 + 0.0257138i −0.597969 0.801519i \(-0.704026\pi\)
0.561859 + 0.827233i \(0.310086\pi\)
\(710\) 51.3226 20.5465i 1.92610 0.771095i
\(711\) 0.736261 1.42815i 0.0276120 0.0535597i
\(712\) −8.24581 + 14.2822i −0.309025 + 0.535247i
\(713\) 0.0817485 1.40074i 0.00306150 0.0524581i
\(714\) 37.1708 12.8883i 1.39108 0.482334i
\(715\) 2.38741 1.53429i 0.0892839 0.0573793i
\(716\) −8.11099 6.37855i −0.303122 0.238378i
\(717\) −3.99254 41.8118i −0.149104 1.56149i
\(718\) −9.42047 + 9.87990i −0.351569 + 0.368715i
\(719\) 2.54244 26.6256i 0.0948170 0.992969i −0.815417 0.578874i \(-0.803492\pi\)
0.910234 0.414094i \(-0.135902\pi\)
\(720\) 5.97994 + 6.90122i 0.222859 + 0.257193i
\(721\) −20.6577 13.2595i −0.769334 0.493810i
\(722\) −31.1712 9.15268i −1.16007 0.340627i
\(723\) 32.8596 11.3728i 1.22206 0.422960i
\(724\) 0.634687 13.3237i 0.0235879 0.495172i
\(725\) −1.46862 + 30.8301i −0.0545430 + 1.14500i
\(726\) −34.1969 + 11.8357i −1.26917 + 0.439263i
\(727\) 10.5968 + 3.11149i 0.393013 + 0.115399i 0.472267 0.881455i \(-0.343436\pi\)
−0.0792544 + 0.996854i \(0.525254\pi\)
\(728\) −4.12251 0.194057i −0.152791 0.00719223i
\(729\) 12.4619 + 14.3818i 0.461551 + 0.532659i
\(730\) 4.31494 45.1881i 0.159703 1.67249i
\(731\) 15.9005 16.6760i 0.588103 0.616785i
\(732\) 0.859969 + 9.00600i 0.0317854 + 0.332871i
\(733\) 2.06788 + 1.62620i 0.0763790 + 0.0600651i 0.655619 0.755092i \(-0.272408\pi\)
−0.579240 + 0.815157i \(0.696650\pi\)
\(734\) 28.1779 18.1089i 1.04007 0.668410i
\(735\) 14.4053 36.1003i 0.531347 1.33158i
\(736\) 14.4786 27.3621i 0.533689 1.00858i
\(737\) 2.65379 4.59649i 0.0977535 0.169314i
\(738\) −0.539052 + 1.04562i −0.0198428 + 0.0384896i
\(739\) −15.5235 + 6.21469i −0.571043 + 0.228611i −0.639170 0.769066i \(-0.720722\pi\)
0.0681271 + 0.997677i \(0.478298\pi\)
\(740\) 30.0589 21.4048i 1.10499 0.786857i
\(741\) −2.50989 + 0.736971i −0.0922032 + 0.0270733i
\(742\) −56.2379 + 13.6766i −2.06456 + 0.502085i
\(743\) 16.8451 14.5963i 0.617985 0.535487i −0.288633 0.957440i \(-0.593201\pi\)
0.906618 + 0.421953i \(0.138655\pi\)
\(744\) 0.639913 + 0.256182i 0.0234603 + 0.00939211i
\(745\) −51.2249 + 12.4270i −1.87673 + 0.455291i
\(746\) 4.19318 21.7563i 0.153523 0.796554i
\(747\) −10.1208 + 5.21761i −0.370299 + 0.190902i
\(748\) −2.35984 + 3.67199i −0.0862845 + 0.134261i
\(749\) 24.8922 3.59324i 0.909542 0.131294i
\(750\) −4.36862 + 14.8781i −0.159519 + 0.543273i
\(751\) 11.3011 28.2288i 0.412383 1.03008i −0.566206 0.824264i \(-0.691589\pi\)
0.978590 0.205821i \(-0.0659863\pi\)
\(752\) 29.4999 + 10.2100i 1.07575 + 0.372321i
\(753\) 7.26311 + 5.17204i 0.264682 + 0.188479i
\(754\) 19.9181 + 4.83207i 0.725374 + 0.175974i
\(755\) 14.6733 32.1300i 0.534015 1.16933i
\(756\) −2.98977 15.4656i −0.108737 0.562480i
\(757\) −15.9534 24.8240i −0.579836 0.902242i 0.420151 0.907454i \(-0.361977\pi\)
−0.999986 + 0.00521239i \(0.998341\pi\)
\(758\) 59.8949 + 34.5804i 2.17548 + 1.25601i
\(759\) 2.69540 6.52951i 0.0978367 0.237006i
\(760\) −1.94937 3.37641i −0.0707111 0.122475i
\(761\) 8.36274 0.398366i 0.303149 0.0144408i 0.104544 0.994520i \(-0.466662\pi\)
0.198605 + 0.980080i \(0.436359\pi\)
\(762\) 43.6911 + 6.28183i 1.58276 + 0.227567i
\(763\) −0.773611 + 8.15003i −0.0280066 + 0.295051i
\(764\) −1.03526 3.52578i −0.0374545 0.127558i
\(765\) −7.93780 0.757968i −0.286992 0.0274044i
\(766\) 9.18781 26.5464i 0.331969 0.959162i
\(767\) 6.57858 5.17345i 0.237539 0.186802i
\(768\) 27.5478 + 28.8913i 0.994045 + 1.04252i
\(769\) −8.88620 + 10.2552i −0.320445 + 0.369813i −0.893003 0.450051i \(-0.851406\pi\)
0.572558 + 0.819864i \(0.305951\pi\)
\(770\) 3.05791 + 10.3927i 0.110200 + 0.374526i
\(771\) −5.85933 3.76556i −0.211019 0.135613i
\(772\) 2.19806 + 6.35087i 0.0791098 + 0.228573i
\(773\) 9.55124 + 39.3707i 0.343534 + 1.41607i 0.837430 + 0.546545i \(0.184057\pi\)
−0.493895 + 0.869521i \(0.664427\pi\)
\(774\) 3.89247 + 4.94968i 0.139912 + 0.177912i
\(775\) −0.192020 0.996292i −0.00689755 0.0357879i
\(776\) 2.88984 + 6.32788i 0.103739 + 0.227158i
\(777\) −48.1806 + 4.62802i −1.72847 + 0.166029i
\(778\) −17.7100 8.08791i −0.634936 0.289965i
\(779\) 0.675394 0.858833i 0.0241985 0.0307709i
\(780\) −8.24693 4.25159i −0.295287 0.152231i
\(781\) 6.96731 4.02258i 0.249310 0.143939i
\(782\) 10.1452 + 35.9700i 0.362790 + 1.28628i
\(783\) 40.0623i 1.43171i
\(784\) 11.1726 32.3990i 0.399023 1.15711i
\(785\) −6.46932 + 44.9951i −0.230900 + 1.60595i
\(786\) 39.6301 + 55.6527i 1.41356 + 1.98507i
\(787\) 34.2849 + 32.6906i 1.22213 + 1.16529i 0.980835 + 0.194842i \(0.0624194\pi\)
0.241291 + 0.970453i \(0.422429\pi\)
\(788\) −4.78894 + 6.72513i −0.170599 + 0.239573i
\(789\) −19.9677 + 3.84846i −0.710869 + 0.137009i
\(790\) −13.1618 + 1.89238i −0.468275 + 0.0673277i
\(791\) −10.1603 + 19.7354i −0.361258 + 0.701711i
\(792\) 0.461681 + 0.400049i 0.0164051 + 0.0142151i
\(793\) 2.07523 + 4.02539i 0.0736936 + 0.142946i
\(794\) −58.3054 2.77743i −2.06918 0.0985672i
\(795\) 65.4323 + 12.6110i 2.32065 + 0.447268i
\(796\) −1.05047 + 1.00162i −0.0372330 + 0.0355016i
\(797\) 1.53037 + 10.6439i 0.0542084 + 0.377028i 0.998808 + 0.0488039i \(0.0155409\pi\)
−0.944600 + 0.328224i \(0.893550\pi\)
\(798\) −0.00561335 9.98554i −0.000198711 0.353484i
\(799\) −24.7958 + 11.3238i −0.877211 + 0.400609i
\(800\) 5.27756 21.7544i 0.186590 0.769134i
\(801\) 8.52230 0.813781i 0.301120 0.0287535i
\(802\) −16.9756 42.4030i −0.599429 1.49730i
\(803\) −0.314328 6.59856i −0.0110924 0.232858i
\(804\) −17.3527 −0.611984
\(805\) 33.4296 + 15.6781i 1.17824 + 0.552580i
\(806\) −0.673761 −0.0237322
\(807\) −1.81859 38.1769i −0.0640174 1.34389i
\(808\) 7.63323 + 19.0669i 0.268536 + 0.670771i
\(809\) −11.1200 + 1.06183i −0.390958 + 0.0373320i −0.288684 0.957424i \(-0.593218\pi\)
−0.102274 + 0.994756i \(0.532612\pi\)
\(810\) −13.1458 + 54.1876i −0.461895 + 1.90396i
\(811\) −22.9185 + 10.4665i −0.804777 + 0.367529i −0.774947 0.632026i \(-0.782224\pi\)
−0.0298296 + 0.999555i \(0.509496\pi\)
\(812\) −15.5571 + 26.9807i −0.545948 + 0.946838i
\(813\) −3.36674 23.4162i −0.118077 0.821241i
\(814\) 9.76356 9.30953i 0.342212 0.326299i
\(815\) 38.7943 + 7.47699i 1.35891 + 0.261908i
\(816\) −39.8937 1.90037i −1.39656 0.0665262i
\(817\) −2.67986 5.19820i −0.0937563 0.181862i
\(818\) −19.3452 16.7627i −0.676389 0.586095i
\(819\) 1.15930 + 1.80168i 0.0405092 + 0.0629557i
\(820\) 3.83594 0.551524i 0.133957 0.0192601i
\(821\) 24.5783 4.73709i 0.857790 0.165326i 0.258651 0.965971i \(-0.416722\pi\)
0.599139 + 0.800645i \(0.295510\pi\)
\(822\) −17.1006 + 24.0145i −0.596453 + 0.837601i
\(823\) −28.2527 26.9389i −0.984826 0.939030i 0.0133192 0.999911i \(-0.495760\pi\)
−0.998145 + 0.0608818i \(0.980609\pi\)
\(824\) 6.64479 + 9.33131i 0.231482 + 0.325071i
\(825\) 0.726959 5.05611i 0.0253095 0.176031i
\(826\) 11.8904 + 29.6525i 0.413720 + 1.03174i
\(827\) 20.6044i 0.716484i 0.933629 + 0.358242i \(0.116624\pi\)
−0.933629 + 0.358242i \(0.883376\pi\)
\(828\) −4.03024 + 0.535532i −0.140060 + 0.0186110i
\(829\) 23.5198 13.5792i 0.816878 0.471625i −0.0324608 0.999473i \(-0.510334\pi\)
0.849339 + 0.527848i \(0.177001\pi\)
\(830\) 83.7565 + 43.1795i 2.90723 + 1.49878i
\(831\) 6.57684 8.36314i 0.228148 0.290114i
\(832\) −2.26884 1.03615i −0.0786579 0.0359219i
\(833\) 12.4625 + 27.2080i 0.431798 + 0.942700i
\(834\) 13.8697 + 30.3704i 0.480268 + 1.05164i
\(835\) 7.34810 + 38.1256i 0.254291 + 1.31939i
\(836\) 0.684846 + 0.870852i 0.0236859 + 0.0301191i
\(837\) 0.310488 + 1.27985i 0.0107320 + 0.0442380i
\(838\) 20.3010 + 58.6560i 0.701288 + 2.02624i
\(839\) −20.8861 13.4227i −0.721067 0.463402i 0.127941 0.991782i \(-0.459163\pi\)
−0.849008 + 0.528380i \(0.822800\pi\)
\(840\) −12.5098 + 13.1347i −0.431629 + 0.453189i
\(841\) −32.8809 + 37.9466i −1.13382 + 1.30850i
\(842\) −30.4689 31.9548i −1.05003 1.10124i
\(843\) 7.93717 6.24186i 0.273371 0.214981i
\(844\) 3.67846 10.6282i 0.126618 0.365838i
\(845\) 33.0348 + 3.15444i 1.13643 + 0.108516i
\(846\) −2.09875 7.14768i −0.0721564 0.245742i
\(847\) −11.4491 25.0328i −0.393395 0.860136i
\(848\) 58.1574 + 8.36177i 1.99713 + 0.287145i
\(849\) 3.78484 0.180294i 0.129895 0.00618768i
\(850\) 13.5127 + 23.4047i 0.463482 + 0.802774i
\(851\) −1.69652 45.9492i −0.0581561 1.57512i
\(852\) −22.7791 13.1515i −0.780400 0.450564i
\(853\) −0.175412 0.272947i −0.00600600 0.00934552i 0.838238 0.545305i \(-0.183586\pi\)
−0.844244 + 0.535960i \(0.819950\pi\)
\(854\) −16.9737 + 3.28132i −0.580829 + 0.112284i
\(855\) −0.840758 + 1.84100i −0.0287533 + 0.0629610i
\(856\) −11.4061 2.76708i −0.389852 0.0945770i
\(857\) −3.31767 2.36250i −0.113329 0.0807016i 0.521987 0.852953i \(-0.325191\pi\)
−0.635316 + 0.772252i \(0.719130\pi\)
\(858\) −3.20546 1.10942i −0.109433 0.0378750i
\(859\) 0.762373 1.90432i 0.0260118 0.0649744i −0.914793 0.403922i \(-0.867647\pi\)
0.940805 + 0.338948i \(0.110071\pi\)
\(860\) 5.84421 19.9036i 0.199286 0.678705i
\(861\) −4.72017 1.88659i −0.160863 0.0642949i
\(862\) 35.5837 55.3693i 1.21198 1.88588i
\(863\) −22.2586 + 11.4751i −0.757692 + 0.390617i −0.793365 0.608746i \(-0.791673\pi\)
0.0356733 + 0.999364i \(0.488642\pi\)
\(864\) −5.49886 + 28.5308i −0.187075 + 0.970638i
\(865\) −32.3867 + 7.85692i −1.10118 + 0.267143i
\(866\) −18.7189 7.49390i −0.636092 0.254653i
\(867\) 1.84191 1.59603i 0.0625546 0.0542039i
\(868\) 0.287890 0.982508i 0.00977164 0.0333485i
\(869\) −1.85672 + 0.545181i −0.0629848 + 0.0184940i
\(870\) 73.3773 52.2517i 2.48772 1.77150i
\(871\) −8.06438 + 3.22849i −0.273251 + 0.109393i
\(872\) 1.75065 3.39579i 0.0592845 0.114996i
\(873\) 1.80562 3.12743i 0.0611110 0.105847i
\(874\) 9.46980 + 0.552666i 0.320321 + 0.0186942i
\(875\) −11.5833 2.22575i −0.391588 0.0752442i
\(876\) −18.1694 + 11.6767i −0.613886 + 0.394521i
\(877\) 27.1616 + 21.3601i 0.917183 + 0.721280i 0.960646 0.277775i \(-0.0895968\pi\)
−0.0434637 + 0.999055i \(0.513839\pi\)
\(878\) −0.212767 2.22819i −0.00718053 0.0751979i
\(879\) −1.34246 + 1.40793i −0.0452801 + 0.0474884i
\(880\) 1.04539 10.9478i 0.0352402 0.369052i
\(881\) 16.5681 + 19.1206i 0.558192 + 0.644188i 0.962772 0.270314i \(-0.0871276\pi\)
−0.404580 + 0.914503i \(0.632582\pi\)
\(882\) −7.84447 + 2.31293i −0.264137 + 0.0778803i
\(883\) −8.28841 2.43370i −0.278927 0.0819004i 0.139277 0.990253i \(-0.455522\pi\)
−0.418204 + 0.908353i \(0.637340\pi\)
\(884\) 6.75090 2.33651i 0.227057 0.0785853i
\(885\) 1.75020 36.7411i 0.0588322 1.23504i
\(886\) −0.816867 + 17.1482i −0.0274432 + 0.576104i
\(887\) 27.2908 9.44544i 0.916336 0.317147i 0.172112 0.985077i \(-0.444941\pi\)
0.744224 + 0.667930i \(0.232820\pi\)
\(888\) 21.6731 + 6.36379i 0.727301 + 0.213555i
\(889\) −1.57878 + 33.5394i −0.0529507 + 1.12488i
\(890\) −46.3962 53.5440i −1.55520 1.79480i
\(891\) −0.771337 + 8.07780i −0.0258408 + 0.270617i
\(892\) −8.55846 + 8.97586i −0.286558 + 0.300534i
\(893\) 0.657672 + 6.88745i 0.0220082 + 0.230480i
\(894\) 49.5234 + 38.9456i 1.65631 + 1.30254i
\(895\) −19.0984 + 12.2738i −0.638389 + 0.410268i
\(896\) −16.1219 + 18.6268i −0.538596 + 0.622279i
\(897\) −10.0736 + 5.67320i −0.336346 + 0.189423i
\(898\) 8.88514 15.3895i 0.296501 0.513555i
\(899\) 1.19317 2.31443i 0.0397946 0.0771907i
\(900\) −2.72937 + 1.09267i −0.0909790 + 0.0364225i
\(901\) −41.7929 + 29.7606i −1.39232 + 0.991469i
\(902\) 1.35939 0.399153i 0.0452627 0.0132903i
\(903\) −19.6816 + 18.7875i −0.654962 + 0.625209i
\(904\) 7.82870 6.78361i 0.260379 0.225619i
\(905\) −27.2449 10.9072i −0.905652 0.362568i
\(906\) −41.0286 + 9.95342i −1.36308 + 0.330680i
\(907\) −2.99140 + 15.5209i −0.0993278 + 0.515362i 0.897851 + 0.440299i \(0.145128\pi\)
−0.997179 + 0.0750623i \(0.976084\pi\)
\(908\) −13.1820 + 6.79580i −0.437461 + 0.225527i
\(909\) 5.76412 8.96915i 0.191184 0.297488i
\(910\) 6.58038 16.4638i 0.218137 0.545770i
\(911\) 10.1736 34.6482i 0.337067 1.14795i −0.600350 0.799737i \(-0.704972\pi\)
0.937417 0.348208i \(-0.113210\pi\)
\(912\) −3.76758 + 9.41096i −0.124757 + 0.311628i
\(913\) 12.9591 + 4.48520i 0.428884 + 0.148438i
\(914\) −0.960985 0.684314i −0.0317865 0.0226351i
\(915\) 19.3434 + 4.69266i 0.639473 + 0.155135i
\(916\) 14.4656 31.6752i 0.477956 1.04658i
\(917\) −39.2574 + 34.0554i −1.29639 + 1.12461i
\(918\) −18.9649 29.5099i −0.625935 0.973973i
\(919\) 2.32987 + 1.34515i 0.0768554 + 0.0443725i 0.537935 0.842986i \(-0.319204\pi\)
−0.461080 + 0.887359i \(0.652538\pi\)
\(920\) −11.7568 12.5972i −0.387611 0.415319i
\(921\) 8.04024 + 13.9261i 0.264935 + 0.458881i
\(922\) −54.6489 + 2.60325i −1.79977 + 0.0857335i
\(923\) −13.0331 1.87387i −0.428988 0.0616792i
\(924\) 2.98747 4.20030i 0.0982804 0.138180i
\(925\) −9.36746 31.9026i −0.308000 1.04895i
\(926\) −49.4636 4.72320i −1.62547 0.155214i
\(927\) 1.94497 5.61963i 0.0638812 0.184573i
\(928\) 45.1579 35.5125i 1.48238 1.16576i
\(929\) 4.16678 + 4.36999i 0.136707 + 0.143375i 0.788529 0.614998i \(-0.210843\pi\)
−0.651821 + 0.758373i \(0.725995\pi\)
\(930\) −1.93919 + 2.23794i −0.0635884 + 0.0733850i
\(931\) 7.56056 0.730524i 0.247787 0.0239420i
\(932\) 13.4464 + 8.64147i 0.440451 + 0.283061i
\(933\) −5.57426 16.1058i −0.182493 0.527280i
\(934\) −5.54475 22.8558i −0.181430 0.747864i
\(935\) 5.93640 + 7.54874i 0.194141 + 0.246870i
\(936\) −0.189216 0.981746i −0.00618472 0.0320894i
\(937\) 0.235501 + 0.515674i 0.00769347 + 0.0168463i 0.913440 0.406974i \(-0.133416\pi\)
−0.905746 + 0.423820i \(0.860689\pi\)
\(938\) −3.17058 33.0077i −0.103523 1.07774i
\(939\) −10.6181 4.84910i −0.346507 0.158245i
\(940\) −15.1701 + 19.2903i −0.494793 + 0.629180i
\(941\) −0.624036 0.321713i −0.0203430 0.0104875i 0.448025 0.894021i \(-0.352128\pi\)
−0.468368 + 0.883533i \(0.655158\pi\)
\(942\) 47.0543 27.1668i 1.53311 0.885142i
\(943\) 2.05286 4.37081i 0.0668502 0.142333i
\(944\) 32.4325i 1.05559i
\(945\) −34.3064 4.91283i −1.11599 0.159814i
\(946\) 1.07926 7.50643i 0.0350898 0.244055i
\(947\) 11.2644 + 15.8187i 0.366045 + 0.514039i 0.955988 0.293406i \(-0.0947889\pi\)
−0.589942 + 0.807445i \(0.700850\pi\)
\(948\) 4.57883 + 4.36590i 0.148713 + 0.141798i
\(949\) −6.27143 + 8.80699i −0.203579 + 0.285887i
\(950\) 6.73551 1.29816i 0.218529 0.0421179i
\(951\) −55.8789 + 8.03417i −1.81200 + 0.260526i
\(952\) −0.672362 13.9496i −0.0217914 0.452110i
\(953\) 17.2409 + 14.9394i 0.558489 + 0.483933i 0.887763 0.460301i \(-0.152259\pi\)
−0.329274 + 0.944234i \(0.606804\pi\)
\(954\) −6.42485 12.4625i −0.208012 0.403487i
\(955\) −8.07550 0.384683i −0.261317 0.0124481i
\(956\) 28.5880 + 5.50989i 0.924602 + 0.178202i
\(957\) 9.48758 9.04639i 0.306690 0.292428i
\(958\) 3.92022 + 27.2657i 0.126657 + 0.880916i
\(959\) −19.4273 11.2018i −0.627341 0.361725i
\(960\) −9.97170 + 4.55392i −0.321835 + 0.146977i
\(961\) 7.28835 30.0430i 0.235108 0.969128i
\(962\) −21.9793 + 2.09876i −0.708640 + 0.0676669i
\(963\) 2.26447 + 5.65638i 0.0729716 + 0.182274i
\(964\) 1.14685 + 24.0753i 0.0369375 + 0.775414i
\(965\) 14.7859 0.475976
\(966\) −9.96961 42.9920i −0.320767 1.38325i
\(967\) −27.3119 −0.878292 −0.439146 0.898416i \(-0.644719\pi\)
−0.439146 + 0.898416i \(0.644719\pi\)
\(968\) 0.611236 + 12.8314i 0.0196459 + 0.412417i
\(969\) −3.28992 8.21783i −0.105688 0.263995i
\(970\) −29.7503 + 2.84081i −0.955224 + 0.0912128i
\(971\) 3.60943 14.8783i 0.115832 0.477466i −0.884116 0.467267i \(-0.845239\pi\)
0.999948 0.0101985i \(-0.00324634\pi\)
\(972\) 7.88548 3.60118i 0.252927 0.115508i
\(973\) −21.9874 + 12.7109i −0.704884 + 0.407493i
\(974\) −1.78955 12.4466i −0.0573408 0.398814i
\(975\) −6.05053 + 5.76917i −0.193772 + 0.184761i
\(976\) 17.2332 + 3.32143i 0.551622 + 0.106316i
\(977\) 29.6862 + 1.41413i 0.949745 + 0.0452419i 0.516733 0.856146i \(-0.327148\pi\)
0.433011 + 0.901388i \(0.357451\pi\)
\(978\) −21.6385 41.9729i −0.691924 1.34215i
\(979\) −7.79215 6.75193i −0.249038 0.215793i
\(980\) 21.1965 + 16.6306i 0.677098 + 0.531245i
\(981\) −1.96309 + 0.282250i −0.0626767 + 0.00901155i
\(982\) 32.6649 6.29565i 1.04238 0.200902i
\(983\) −15.6733 + 22.0101i −0.499902 + 0.702014i −0.985021 0.172434i \(-0.944837\pi\)
0.485119 + 0.874448i \(0.338776\pi\)
\(984\) 1.71685 + 1.63701i 0.0547310 + 0.0521859i
\(985\) 10.5363 + 14.7961i 0.335714 + 0.471444i
\(986\) −9.87050 + 68.6508i −0.314341 + 2.18629i
\(987\) 29.8769 11.9804i 0.950991 0.381340i
\(988\) 1.81321i 0.0576858i
\(989\) −16.7167 19.7143i −0.531562 0.626878i
\(990\) −2.27282 + 1.31221i −0.0722349 + 0.0417049i
\(991\) 25.1753 + 12.9788i 0.799720 + 0.412284i 0.809099 0.587672i \(-0.199955\pi\)
−0.00937952 + 0.999956i \(0.502986\pi\)
\(992\) −1.16741 + 1.48448i −0.0370652 + 0.0471322i
\(993\) 51.3300 + 23.4416i 1.62891 + 0.743897i
\(994\) 20.8543 45.7325i 0.661457 1.45055i
\(995\) 1.32659 + 2.90482i 0.0420556 + 0.0920889i
\(996\) −8.48504 44.0246i −0.268859 1.39497i
\(997\) −27.4365 34.8883i −0.868922 1.10492i −0.993626 0.112730i \(-0.964041\pi\)
0.124704 0.992194i \(-0.460202\pi\)
\(998\) −2.05099 8.45428i −0.0649228 0.267616i
\(999\) 14.1154 + 40.7837i 0.446591 + 1.29034i
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 161.2.o.a.103.3 yes 280
7.3 odd 6 inner 161.2.o.a.80.12 280
23.21 odd 22 inner 161.2.o.a.159.12 yes 280
161.136 even 66 inner 161.2.o.a.136.3 yes 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
161.2.o.a.80.12 280 7.3 odd 6 inner
161.2.o.a.103.3 yes 280 1.1 even 1 trivial
161.2.o.a.136.3 yes 280 161.136 even 66 inner
161.2.o.a.159.12 yes 280 23.21 odd 22 inner