Properties

Label 483.2.y.b.151.3
Level $483$
Weight $2$
Character 483.151
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(4,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 44, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 151.3
Character \(\chi\) \(=\) 483.151
Dual form 483.2.y.b.16.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.695372 + 2.00914i) q^{2} +(-0.888835 + 0.458227i) q^{3} +(-1.98101 - 1.55789i) q^{4} +(1.53680 - 0.146746i) q^{5} +(-0.302572 - 2.10444i) q^{6} +(0.278867 + 2.63101i) q^{7} +(0.930423 - 0.597946i) q^{8} +(0.580057 - 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.695372 + 2.00914i) q^{2} +(-0.888835 + 0.458227i) q^{3} +(-1.98101 - 1.55789i) q^{4} +(1.53680 - 0.146746i) q^{5} +(-0.302572 - 2.10444i) q^{6} +(0.278867 + 2.63101i) q^{7} +(0.930423 - 0.597946i) q^{8} +(0.580057 - 0.814576i) q^{9} +(-0.773810 + 3.18969i) q^{10} +(1.64903 + 4.76457i) q^{11} +(2.47466 + 0.476952i) q^{12} +(5.59522 - 1.64291i) q^{13} +(-5.48000 - 1.26925i) q^{14} +(-1.29872 + 0.834634i) q^{15} +(-0.633951 - 2.61318i) q^{16} +(1.71634 + 0.687119i) q^{17} +(1.23325 + 1.73185i) q^{18} +(-5.97581 + 2.39235i) q^{19} +(-3.27303 - 2.10345i) q^{20} +(-1.45347 - 2.21075i) q^{21} -10.7194 q^{22} +(-4.08657 + 2.50997i) q^{23} +(-0.552998 + 0.957820i) q^{24} +(-2.56943 + 0.495218i) q^{25} +(-0.589925 + 12.3840i) q^{26} +(-0.142315 + 0.989821i) q^{27} +(3.54638 - 5.64652i) q^{28} +(0.309018 + 2.14926i) q^{29} +(-0.773810 - 3.18969i) q^{30} +(-0.253419 - 5.31991i) q^{31} +(7.89306 + 0.753696i) q^{32} +(-3.64897 - 3.47929i) q^{33} +(-2.57402 + 2.97057i) q^{34} +(0.814653 + 4.00241i) q^{35} +(-2.41812 + 0.710024i) q^{36} +(2.49405 - 3.50240i) q^{37} +(-0.651174 - 13.6698i) q^{38} +(-4.22041 + 4.02415i) q^{39} +(1.34212 - 1.05546i) q^{40} +(-0.514318 + 1.12620i) q^{41} +(5.45242 - 1.38293i) q^{42} +(-4.61679 - 2.96703i) q^{43} +(4.15590 - 12.0077i) q^{44} +(0.771893 - 1.33696i) q^{45} +(-2.20120 - 9.95587i) q^{46} +(1.17750 + 2.03949i) q^{47} +(1.76091 + 2.03219i) q^{48} +(-6.84447 + 1.46741i) q^{49} +(0.791748 - 5.50673i) q^{50} +(-1.84040 + 0.175737i) q^{51} +(-13.6437 - 5.46211i) q^{52} +(4.76235 - 4.54089i) q^{53} +(-1.88973 - 0.974225i) q^{54} +(3.23341 + 7.08019i) q^{55} +(1.83267 + 2.28121i) q^{56} +(4.21527 - 4.86468i) q^{57} +(-4.53307 - 0.873677i) q^{58} +(0.0726728 - 0.299561i) q^{59} +(3.87304 + 0.369831i) q^{60} +(-1.00295 - 0.517058i) q^{61} +(10.8647 + 3.19016i) q^{62} +(2.30492 + 1.29898i) q^{63} +(-4.76881 + 10.4422i) q^{64} +(8.35763 - 3.34589i) q^{65} +(9.52779 - 4.91192i) q^{66} +(-3.30229 + 0.636464i) q^{67} +(-2.32964 - 4.03506i) q^{68} +(2.48216 - 4.10352i) q^{69} +(-8.60791 - 1.14641i) q^{70} +(9.95447 + 11.4881i) q^{71} +(0.0526254 - 1.10474i) q^{72} +(9.61321 + 7.55991i) q^{73} +(5.30254 + 7.44637i) q^{74} +(2.05688 - 1.61755i) q^{75} +(15.5652 + 4.57035i) q^{76} +(-12.0758 + 5.66731i) q^{77} +(-5.15035 - 11.2777i) q^{78} +(-9.47874 - 9.03796i) q^{79} +(-1.35773 - 3.92290i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-1.90506 - 1.81647i) q^{82} +(-2.42922 - 5.31924i) q^{83} +(-0.564765 + 6.64387i) q^{84} +(2.73850 + 0.804096i) q^{85} +(9.17157 - 7.21260i) q^{86} +(-1.25952 - 1.76874i) q^{87} +(4.38326 + 3.44703i) q^{88} +(-0.691732 + 14.5212i) q^{89} +(2.14939 + 2.48053i) q^{90} +(5.88283 + 14.2630i) q^{91} +(12.0058 + 1.39414i) q^{92} +(2.66297 + 4.61240i) q^{93} +(-4.91643 + 0.947564i) q^{94} +(-8.83253 + 4.55349i) q^{95} +(-7.36100 + 2.94690i) q^{96} +(-2.45897 + 5.38440i) q^{97} +(1.81122 - 14.7719i) q^{98} +(4.83764 + 1.42046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{7}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.695372 + 2.00914i −0.491702 + 1.42068i 0.377401 + 0.926050i \(0.376818\pi\)
−0.869104 + 0.494630i \(0.835304\pi\)
\(3\) −0.888835 + 0.458227i −0.513169 + 0.264557i
\(4\) −1.98101 1.55789i −0.990507 0.778944i
\(5\) 1.53680 0.146746i 0.687276 0.0656269i 0.254425 0.967092i \(-0.418114\pi\)
0.432851 + 0.901466i \(0.357508\pi\)
\(6\) −0.302572 2.10444i −0.123525 0.859133i
\(7\) 0.278867 + 2.63101i 0.105402 + 0.994430i
\(8\) 0.930423 0.597946i 0.328954 0.211406i
\(9\) 0.580057 0.814576i 0.193352 0.271525i
\(10\) −0.773810 + 3.18969i −0.244700 + 1.00867i
\(11\) 1.64903 + 4.76457i 0.497203 + 1.43657i 0.862679 + 0.505752i \(0.168785\pi\)
−0.365477 + 0.930821i \(0.619094\pi\)
\(12\) 2.47466 + 0.476952i 0.714373 + 0.137684i
\(13\) 5.59522 1.64291i 1.55184 0.455660i 0.610187 0.792257i \(-0.291094\pi\)
0.941649 + 0.336597i \(0.109276\pi\)
\(14\) −5.48000 1.26925i −1.46459 0.339221i
\(15\) −1.29872 + 0.834634i −0.335327 + 0.215502i
\(16\) −0.633951 2.61318i −0.158488 0.653295i
\(17\) 1.71634 + 0.687119i 0.416274 + 0.166651i 0.570338 0.821410i \(-0.306812\pi\)
−0.154065 + 0.988061i \(0.549236\pi\)
\(18\) 1.23325 + 1.73185i 0.290679 + 0.408201i
\(19\) −5.97581 + 2.39235i −1.37094 + 0.548843i −0.936123 0.351674i \(-0.885613\pi\)
−0.434821 + 0.900517i \(0.643188\pi\)
\(20\) −3.27303 2.10345i −0.731872 0.470345i
\(21\) −1.45347 2.21075i −0.317173 0.482426i
\(22\) −10.7194 −2.28538
\(23\) −4.08657 + 2.50997i −0.852109 + 0.523364i
\(24\) −0.552998 + 0.957820i −0.112880 + 0.195514i
\(25\) −2.56943 + 0.495218i −0.513887 + 0.0990436i
\(26\) −0.589925 + 12.3840i −0.115694 + 2.42871i
\(27\) −0.142315 + 0.989821i −0.0273885 + 0.190491i
\(28\) 3.54638 5.64652i 0.670203 1.06709i
\(29\) 0.309018 + 2.14926i 0.0573831 + 0.399108i 0.998189 + 0.0601616i \(0.0191616\pi\)
−0.940806 + 0.338947i \(0.889929\pi\)
\(30\) −0.773810 3.18969i −0.141278 0.582355i
\(31\) −0.253419 5.31991i −0.0455153 0.955485i −0.899968 0.435956i \(-0.856410\pi\)
0.854453 0.519529i \(-0.173893\pi\)
\(32\) 7.89306 + 0.753696i 1.39531 + 0.133236i
\(33\) −3.64897 3.47929i −0.635205 0.605666i
\(34\) −2.57402 + 2.97057i −0.441440 + 0.509449i
\(35\) 0.814653 + 4.00241i 0.137702 + 0.676531i
\(36\) −2.41812 + 0.710024i −0.403020 + 0.118337i
\(37\) 2.49405 3.50240i 0.410019 0.575791i −0.556995 0.830516i \(-0.688046\pi\)
0.967013 + 0.254725i \(0.0819851\pi\)
\(38\) −0.651174 13.6698i −0.105634 2.21754i
\(39\) −4.22041 + 4.02415i −0.675806 + 0.644380i
\(40\) 1.34212 1.05546i 0.212208 0.166883i
\(41\) −0.514318 + 1.12620i −0.0803230 + 0.175883i −0.945533 0.325528i \(-0.894458\pi\)
0.865209 + 0.501411i \(0.167185\pi\)
\(42\) 5.45242 1.38293i 0.841327 0.213391i
\(43\) −4.61679 2.96703i −0.704053 0.452467i 0.139004 0.990292i \(-0.455610\pi\)
−0.843057 + 0.537824i \(0.819246\pi\)
\(44\) 4.15590 12.0077i 0.626526 1.81023i
\(45\) 0.771893 1.33696i 0.115067 0.199302i
\(46\) −2.20120 9.95587i −0.324549 1.46791i
\(47\) 1.17750 + 2.03949i 0.171756 + 0.297490i 0.939034 0.343825i \(-0.111723\pi\)
−0.767278 + 0.641315i \(0.778389\pi\)
\(48\) 1.76091 + 2.03219i 0.254165 + 0.293322i
\(49\) −6.84447 + 1.46741i −0.977781 + 0.209629i
\(50\) 0.791748 5.50673i 0.111970 0.778769i
\(51\) −1.84040 + 0.175737i −0.257708 + 0.0246081i
\(52\) −13.6437 5.46211i −1.89204 0.757458i
\(53\) 4.76235 4.54089i 0.654159 0.623740i −0.288507 0.957478i \(-0.593159\pi\)
0.942666 + 0.333738i \(0.108310\pi\)
\(54\) −1.88973 0.974225i −0.257160 0.132575i
\(55\) 3.23341 + 7.08019i 0.435993 + 0.954692i
\(56\) 1.83267 + 2.28121i 0.244901 + 0.304839i
\(57\) 4.21527 4.86468i 0.558326 0.644343i
\(58\) −4.53307 0.873677i −0.595221 0.114719i
\(59\) 0.0726728 0.299561i 0.00946120 0.0389996i −0.966885 0.255211i \(-0.917855\pi\)
0.976347 + 0.216212i \(0.0693701\pi\)
\(60\) 3.87304 + 0.369831i 0.500008 + 0.0477449i
\(61\) −1.00295 0.517058i −0.128415 0.0662026i 0.392822 0.919615i \(-0.371499\pi\)
−0.521237 + 0.853412i \(0.674529\pi\)
\(62\) 10.8647 + 3.19016i 1.37982 + 0.405151i
\(63\) 2.30492 + 1.29898i 0.290393 + 0.163656i
\(64\) −4.76881 + 10.4422i −0.596102 + 1.30528i
\(65\) 8.35763 3.34589i 1.03664 0.415007i
\(66\) 9.52779 4.91192i 1.17279 0.604615i
\(67\) −3.30229 + 0.636464i −0.403439 + 0.0777564i −0.386934 0.922107i \(-0.626466\pi\)
−0.0165046 + 0.999864i \(0.505254\pi\)
\(68\) −2.32964 4.03506i −0.282511 0.489323i
\(69\) 2.48216 4.10352i 0.298816 0.494006i
\(70\) −8.60791 1.14641i −1.02884 0.137022i
\(71\) 9.95447 + 11.4881i 1.18138 + 1.36338i 0.916962 + 0.398975i \(0.130634\pi\)
0.264416 + 0.964409i \(0.414821\pi\)
\(72\) 0.0526254 1.10474i 0.00620196 0.130195i
\(73\) 9.61321 + 7.55991i 1.12514 + 0.884820i 0.994304 0.106584i \(-0.0339912\pi\)
0.130837 + 0.991404i \(0.458234\pi\)
\(74\) 5.30254 + 7.44637i 0.616407 + 0.865623i
\(75\) 2.05688 1.61755i 0.237508 0.186779i
\(76\) 15.5652 + 4.57035i 1.78545 + 0.524255i
\(77\) −12.0758 + 5.66731i −1.37616 + 0.645850i
\(78\) −5.15035 11.2777i −0.583162 1.27695i
\(79\) −9.47874 9.03796i −1.06644 1.01685i −0.999818 0.0190716i \(-0.993929\pi\)
−0.0666233 0.997778i \(-0.521223\pi\)
\(80\) −1.35773 3.92290i −0.151799 0.438593i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −1.90506 1.81647i −0.210378 0.200595i
\(83\) −2.42922 5.31924i −0.266641 0.583863i 0.728193 0.685372i \(-0.240360\pi\)
−0.994835 + 0.101509i \(0.967633\pi\)
\(84\) −0.564765 + 6.64387i −0.0616209 + 0.724906i
\(85\) 2.73850 + 0.804096i 0.297032 + 0.0872164i
\(86\) 9.17157 7.21260i 0.988996 0.777755i
\(87\) −1.25952 1.76874i −0.135034 0.189629i
\(88\) 4.38326 + 3.44703i 0.467257 + 0.367455i
\(89\) −0.691732 + 14.5212i −0.0733235 + 1.53925i 0.600060 + 0.799955i \(0.295143\pi\)
−0.673383 + 0.739294i \(0.735160\pi\)
\(90\) 2.14939 + 2.48053i 0.226566 + 0.261471i
\(91\) 5.88283 + 14.2630i 0.616688 + 1.49516i
\(92\) 12.0058 + 1.39414i 1.25169 + 0.145349i
\(93\) 2.66297 + 4.61240i 0.276137 + 0.478284i
\(94\) −4.91643 + 0.947564i −0.507091 + 0.0977337i
\(95\) −8.83253 + 4.55349i −0.906198 + 0.467178i
\(96\) −7.36100 + 2.94690i −0.751279 + 0.300767i
\(97\) −2.45897 + 5.38440i −0.249671 + 0.546703i −0.992424 0.122863i \(-0.960792\pi\)
0.742753 + 0.669566i \(0.233520\pi\)
\(98\) 1.81122 14.7719i 0.182961 1.49219i
\(99\) 4.83764 + 1.42046i 0.486201 + 0.142761i
\(100\) 5.86158 + 3.02186i 0.586158 + 0.302186i
\(101\) 9.94205 + 0.949351i 0.989271 + 0.0944639i 0.577127 0.816655i \(-0.304174\pi\)
0.412144 + 0.911119i \(0.364780\pi\)
\(102\) 0.926682 3.81983i 0.0917551 0.378220i
\(103\) 17.7609 + 3.42314i 1.75004 + 0.337292i 0.960894 0.276918i \(-0.0893130\pi\)
0.789143 + 0.614210i \(0.210525\pi\)
\(104\) 4.22355 4.87424i 0.414153 0.477958i
\(105\) −2.55810 3.18419i −0.249645 0.310745i
\(106\) 5.81171 + 12.7259i 0.564483 + 1.23604i
\(107\) −6.79223 3.50164i −0.656630 0.338516i 0.0975056 0.995235i \(-0.468914\pi\)
−0.754136 + 0.656719i \(0.771944\pi\)
\(108\) 1.82396 1.73914i 0.175510 0.167349i
\(109\) 10.8820 + 4.35648i 1.04230 + 0.417275i 0.828728 0.559651i \(-0.189065\pi\)
0.213575 + 0.976927i \(0.431489\pi\)
\(110\) −16.4735 + 1.57303i −1.57069 + 0.149983i
\(111\) −0.611905 + 4.25589i −0.0580795 + 0.403952i
\(112\) 6.69852 2.39666i 0.632951 0.226463i
\(113\) −13.6947 15.8045i −1.28829 1.48677i −0.780304 0.625401i \(-0.784936\pi\)
−0.507986 0.861365i \(-0.669610\pi\)
\(114\) 6.84267 + 11.8518i 0.640875 + 1.11003i
\(115\) −5.91190 + 4.45700i −0.551287 + 0.415617i
\(116\) 2.73614 4.73914i 0.254045 0.440018i
\(117\) 1.90728 5.51071i 0.176328 0.509466i
\(118\) 0.551328 + 0.354317i 0.0507538 + 0.0326175i
\(119\) −1.32919 + 4.70733i −0.121847 + 0.431520i
\(120\) −0.709288 + 1.55312i −0.0647489 + 0.141780i
\(121\) −11.3352 + 8.91413i −1.03048 + 0.810376i
\(122\) 1.73627 1.65553i 0.157195 0.149885i
\(123\) −0.0589104 1.23668i −0.00531177 0.111508i
\(124\) −7.78580 + 10.9336i −0.699185 + 0.981868i
\(125\) −11.2823 + 3.31278i −1.00912 + 0.296304i
\(126\) −4.21261 + 3.72764i −0.375289 + 0.332085i
\(127\) 9.70632 11.2017i 0.861296 0.993989i −0.138697 0.990335i \(-0.544291\pi\)
0.999993 0.00365414i \(-0.00116315\pi\)
\(128\) −6.18696 5.89926i −0.546855 0.521425i
\(129\) 5.46313 + 0.521666i 0.481002 + 0.0459301i
\(130\) 0.910718 + 19.1183i 0.0798752 + 1.67679i
\(131\) 1.48240 + 6.11054i 0.129518 + 0.533880i 0.999190 + 0.0402496i \(0.0128153\pi\)
−0.869672 + 0.493631i \(0.835670\pi\)
\(132\) 1.80833 + 12.5772i 0.157395 + 1.09471i
\(133\) −7.96077 15.0553i −0.690286 1.30546i
\(134\) 1.01757 7.07735i 0.0879047 0.611390i
\(135\) −0.0734563 + 1.54204i −0.00632211 + 0.132718i
\(136\) 2.00778 0.386968i 0.172166 0.0331823i
\(137\) −4.32002 + 7.48250i −0.369084 + 0.639273i −0.989423 0.145062i \(-0.953662\pi\)
0.620338 + 0.784334i \(0.286995\pi\)
\(138\) 6.51855 + 7.84048i 0.554896 + 0.667426i
\(139\) 13.4262 1.13879 0.569396 0.822063i \(-0.307177\pi\)
0.569396 + 0.822063i \(0.307177\pi\)
\(140\) 4.62146 9.19797i 0.390585 0.777370i
\(141\) −1.98115 1.27321i −0.166843 0.107223i
\(142\) −30.0033 + 12.0115i −2.51782 + 1.00798i
\(143\) 17.0545 + 23.9496i 1.42617 + 2.00277i
\(144\) −2.49636 0.999392i −0.208030 0.0832827i
\(145\) 0.790294 + 3.25764i 0.0656303 + 0.270532i
\(146\) −21.8737 + 14.0574i −1.81028 + 1.16340i
\(147\) 5.41120 4.44060i 0.446308 0.366254i
\(148\) −10.3971 + 3.05286i −0.854635 + 0.250943i
\(149\) 7.48570 + 1.44275i 0.613253 + 0.118195i 0.486414 0.873729i \(-0.338305\pi\)
0.126839 + 0.991923i \(0.459517\pi\)
\(150\) 1.81959 + 5.25737i 0.148569 + 0.429263i
\(151\) 1.89690 7.81914i 0.154368 0.636313i −0.841072 0.540923i \(-0.818075\pi\)
0.995440 0.0953899i \(-0.0304098\pi\)
\(152\) −4.12953 + 5.79911i −0.334949 + 0.470370i
\(153\) 1.55529 0.999521i 0.125737 0.0808065i
\(154\) −2.98929 28.2029i −0.240884 2.27265i
\(155\) −1.17013 8.13843i −0.0939871 0.653695i
\(156\) 14.6299 1.39698i 1.17133 0.111848i
\(157\) −0.628442 0.494212i −0.0501551 0.0394424i 0.592767 0.805374i \(-0.298036\pi\)
−0.642922 + 0.765932i \(0.722278\pi\)
\(158\) 24.7498 12.7594i 1.96899 1.01508i
\(159\) −2.15219 + 6.21834i −0.170680 + 0.493147i
\(160\) 12.2406 0.967707
\(161\) −7.74337 10.0519i −0.610263 0.792199i
\(162\) 2.12608 0.167040
\(163\) 6.88554 19.8945i 0.539317 1.55825i −0.265119 0.964216i \(-0.585411\pi\)
0.804436 0.594039i \(-0.202467\pi\)
\(164\) 2.77337 1.42977i 0.216563 0.111646i
\(165\) −6.11830 4.81149i −0.476309 0.374574i
\(166\) 12.3763 1.18180i 0.960590 0.0917252i
\(167\) −2.09282 14.5559i −0.161947 1.12637i −0.894958 0.446150i \(-0.852795\pi\)
0.733011 0.680217i \(-0.238114\pi\)
\(168\) −2.67425 1.18784i −0.206323 0.0916438i
\(169\) 17.6711 11.3565i 1.35931 0.873578i
\(170\) −3.51982 + 4.94289i −0.269958 + 0.379103i
\(171\) −1.51756 + 6.25545i −0.116050 + 0.478366i
\(172\) 4.52362 + 13.0702i 0.344923 + 0.996590i
\(173\) 7.52057 + 1.44947i 0.571778 + 0.110201i 0.466941 0.884288i \(-0.345356\pi\)
0.104837 + 0.994489i \(0.466568\pi\)
\(174\) 4.42949 1.30062i 0.335799 0.0985995i
\(175\) −2.01946 6.62212i −0.152657 0.500585i
\(176\) 11.4053 7.32973i 0.859705 0.552499i
\(177\) 0.0726728 + 0.299561i 0.00546242 + 0.0225164i
\(178\) −28.6943 11.4875i −2.15073 0.861021i
\(179\) 9.60815 + 13.4928i 0.718147 + 1.00850i 0.998814 + 0.0486913i \(0.0155050\pi\)
−0.280667 + 0.959805i \(0.590556\pi\)
\(180\) −3.61196 + 1.44601i −0.269220 + 0.107779i
\(181\) −6.19395 3.98061i −0.460392 0.295876i 0.289810 0.957084i \(-0.406408\pi\)
−0.750203 + 0.661208i \(0.770044\pi\)
\(182\) −32.7471 + 1.90140i −2.42738 + 0.140941i
\(183\) 1.12839 0.0834130
\(184\) −2.30141 + 4.77888i −0.169662 + 0.352304i
\(185\) 3.31888 5.74846i 0.244009 0.422636i
\(186\) −11.1187 + 2.14296i −0.815266 + 0.157130i
\(187\) −0.443524 + 9.31071i −0.0324337 + 0.680866i
\(188\) 0.844650 5.87467i 0.0616024 0.428454i
\(189\) −2.64392 0.0984036i −0.192317 0.00715781i
\(190\) −3.00672 20.9122i −0.218130 1.51713i
\(191\) −1.57332 6.48533i −0.113842 0.469262i −0.999983 0.00584664i \(-0.998139\pi\)
0.886141 0.463415i \(-0.153376\pi\)
\(192\) −0.546223 11.4666i −0.0394203 0.827533i
\(193\) 14.3433 + 1.36962i 1.03245 + 0.0985871i 0.597501 0.801868i \(-0.296160\pi\)
0.434949 + 0.900455i \(0.356766\pi\)
\(194\) −9.10814 8.68459i −0.653926 0.623517i
\(195\) −5.89538 + 6.80363i −0.422177 + 0.487218i
\(196\) 15.8450 + 7.75595i 1.13179 + 0.553997i
\(197\) 10.9413 3.21266i 0.779536 0.228892i 0.132328 0.991206i \(-0.457755\pi\)
0.647208 + 0.762314i \(0.275937\pi\)
\(198\) −6.21787 + 8.73177i −0.441884 + 0.620540i
\(199\) 0.392253 + 8.23440i 0.0278061 + 0.583721i 0.969180 + 0.246355i \(0.0792330\pi\)
−0.941374 + 0.337366i \(0.890464\pi\)
\(200\) −2.09455 + 1.99715i −0.148107 + 0.141220i
\(201\) 2.64355 2.07891i 0.186461 0.146635i
\(202\) −8.82081 + 19.3149i −0.620630 + 1.35899i
\(203\) −5.56857 + 1.41239i −0.390837 + 0.0991303i
\(204\) 3.91964 + 2.51900i 0.274430 + 0.176365i
\(205\) −0.625137 + 1.80621i −0.0436615 + 0.126152i
\(206\) −19.2280 + 33.3039i −1.33968 + 2.32039i
\(207\) −0.325885 + 4.78475i −0.0226506 + 0.332563i
\(208\) −7.84030 13.5798i −0.543627 0.941590i
\(209\) −21.2528 24.5271i −1.47009 1.69657i
\(210\) 8.17633 2.92541i 0.564220 0.201872i
\(211\) −1.19727 + 8.32716i −0.0824231 + 0.573266i 0.906200 + 0.422850i \(0.138970\pi\)
−0.988623 + 0.150416i \(0.951939\pi\)
\(212\) −16.5085 + 1.57637i −1.13381 + 0.108265i
\(213\) −14.1120 5.64960i −0.966940 0.387104i
\(214\) 11.7584 11.2116i 0.803790 0.766412i
\(215\) −7.53046 3.88222i −0.513573 0.264765i
\(216\) 0.459447 + 1.00605i 0.0312614 + 0.0684530i
\(217\) 13.9261 2.15030i 0.945365 0.145972i
\(218\) −16.3198 + 18.8341i −1.10532 + 1.27560i
\(219\) −12.0087 2.31449i −0.811473 0.156399i
\(220\) 4.62469 19.0632i 0.311797 1.28524i
\(221\) 10.7322 + 1.02480i 0.721924 + 0.0689354i
\(222\) −8.12521 4.18883i −0.545328 0.281136i
\(223\) 27.1872 + 7.98289i 1.82059 + 0.534574i 0.999351 0.0360095i \(-0.0114647\pi\)
0.821240 + 0.570583i \(0.193283\pi\)
\(224\) 0.218131 + 20.9769i 0.0145745 + 1.40158i
\(225\) −1.08703 + 2.38025i −0.0724684 + 0.158684i
\(226\) 41.2765 16.5246i 2.74567 1.09920i
\(227\) 6.40170 3.30030i 0.424895 0.219049i −0.232497 0.972597i \(-0.574690\pi\)
0.657393 + 0.753548i \(0.271659\pi\)
\(228\) −15.9291 + 3.07009i −1.05493 + 0.203322i
\(229\) −4.80489 8.32232i −0.317516 0.549954i 0.662453 0.749103i \(-0.269515\pi\)
−0.979969 + 0.199149i \(0.936182\pi\)
\(230\) −4.84378 14.9771i −0.319390 0.987563i
\(231\) 8.13648 10.5708i 0.535341 0.695505i
\(232\) 1.57266 + 1.81495i 0.103250 + 0.119157i
\(233\) 0.977456 20.5193i 0.0640353 1.34427i −0.706882 0.707331i \(-0.749899\pi\)
0.770917 0.636935i \(-0.219798\pi\)
\(234\) 9.74555 + 7.66399i 0.637087 + 0.501011i
\(235\) 2.10886 + 2.96149i 0.137567 + 0.193186i
\(236\) −0.610649 + 0.480220i −0.0397499 + 0.0312596i
\(237\) 12.5665 + 3.68985i 0.816280 + 0.239681i
\(238\) −8.53343 5.94388i −0.553140 0.385284i
\(239\) −3.19680 7.00001i −0.206784 0.452793i 0.777616 0.628739i \(-0.216429\pi\)
−0.984400 + 0.175946i \(0.943701\pi\)
\(240\) 3.00437 + 2.86466i 0.193931 + 0.184913i
\(241\) 1.08577 + 3.13713i 0.0699407 + 0.202080i 0.974554 0.224153i \(-0.0719615\pi\)
−0.904613 + 0.426233i \(0.859840\pi\)
\(242\) −10.0276 28.9728i −0.644597 1.86244i
\(243\) 0.723734 + 0.690079i 0.0464276 + 0.0442686i
\(244\) 1.18135 + 2.58679i 0.0756280 + 0.165602i
\(245\) −10.3032 + 3.25950i −0.658248 + 0.208242i
\(246\) 2.52564 + 0.741594i 0.161029 + 0.0472823i
\(247\) −29.5056 + 23.2034i −1.87739 + 1.47640i
\(248\) −3.41681 4.79824i −0.216968 0.304688i
\(249\) 4.59659 + 3.61480i 0.291297 + 0.229079i
\(250\) 1.18953 24.9714i 0.0752327 1.57933i
\(251\) 18.4164 + 21.2536i 1.16243 + 1.34152i 0.929412 + 0.369044i \(0.120315\pi\)
0.233019 + 0.972472i \(0.425140\pi\)
\(252\) −2.54242 6.16410i −0.160157 0.388302i
\(253\) −18.6978 15.3317i −1.17552 0.963898i
\(254\) 15.7563 + 27.2907i 0.988639 + 1.71237i
\(255\) −2.80253 + 0.540144i −0.175501 + 0.0338251i
\(256\) −4.25232 + 2.19222i −0.265770 + 0.137014i
\(257\) −5.27430 + 2.11151i −0.329002 + 0.131713i −0.530282 0.847821i \(-0.677914\pi\)
0.201280 + 0.979534i \(0.435490\pi\)
\(258\) −4.84701 + 10.6135i −0.301762 + 0.660766i
\(259\) 9.91036 + 5.58517i 0.615800 + 0.347045i
\(260\) −21.7691 6.39199i −1.35006 0.396414i
\(261\) 1.92999 + 0.994978i 0.119463 + 0.0615876i
\(262\) −13.3078 1.27074i −0.822157 0.0785065i
\(263\) 2.19860 9.06277i 0.135572 0.558834i −0.862990 0.505221i \(-0.831411\pi\)
0.998562 0.0536133i \(-0.0170738\pi\)
\(264\) −5.47551 1.05532i −0.336995 0.0649504i
\(265\) 6.65240 7.67728i 0.408654 0.471612i
\(266\) 35.7839 5.52532i 2.19405 0.338779i
\(267\) −6.03918 13.2240i −0.369592 0.809294i
\(268\) 7.53342 + 3.88375i 0.460177 + 0.237238i
\(269\) −15.2866 + 14.5757i −0.932040 + 0.888698i −0.994000 0.109381i \(-0.965113\pi\)
0.0619603 + 0.998079i \(0.480265\pi\)
\(270\) −3.04710 1.21987i −0.185441 0.0742392i
\(271\) 11.3707 1.08577i 0.690719 0.0659557i 0.256208 0.966622i \(-0.417527\pi\)
0.434512 + 0.900666i \(0.356921\pi\)
\(272\) 0.707491 4.92071i 0.0428979 0.298362i
\(273\) −11.7645 9.98175i −0.712022 0.604123i
\(274\) −12.0294 13.8827i −0.726722 0.838682i
\(275\) −6.59659 11.4256i −0.397789 0.688991i
\(276\) −11.3100 + 4.26222i −0.680783 + 0.256556i
\(277\) −7.71358 + 13.3603i −0.463464 + 0.802744i −0.999131 0.0416860i \(-0.986727\pi\)
0.535666 + 0.844430i \(0.320060\pi\)
\(278\) −9.33617 + 26.9751i −0.559946 + 1.61786i
\(279\) −4.48047 2.87942i −0.268239 0.172387i
\(280\) 3.15120 + 3.23681i 0.188320 + 0.193437i
\(281\) 7.58625 16.6116i 0.452558 0.990963i −0.536564 0.843860i \(-0.680278\pi\)
0.989121 0.147103i \(-0.0469949\pi\)
\(282\) 3.93570 3.09507i 0.234367 0.184309i
\(283\) −4.89509 + 4.66746i −0.290983 + 0.277452i −0.821483 0.570233i \(-0.806853\pi\)
0.530500 + 0.847685i \(0.322004\pi\)
\(284\) −1.82283 38.2660i −0.108165 2.27067i
\(285\) 5.76414 8.09460i 0.341438 0.479483i
\(286\) −59.9775 + 17.6110i −3.54654 + 1.04136i
\(287\) −3.10647 1.03912i −0.183369 0.0613372i
\(288\) 5.19237 5.99231i 0.305963 0.353100i
\(289\) −9.82979 9.37268i −0.578223 0.551334i
\(290\) −7.09461 0.677453i −0.416610 0.0397814i
\(291\) −0.281652 5.91261i −0.0165108 0.346603i
\(292\) −7.26642 29.9526i −0.425235 1.75284i
\(293\) −1.00809 7.01141i −0.0588931 0.409611i −0.997848 0.0655703i \(-0.979113\pi\)
0.938955 0.344041i \(-0.111796\pi\)
\(294\) 5.15901 + 13.9598i 0.300880 + 0.814149i
\(295\) 0.0677238 0.471029i 0.00394303 0.0274244i
\(296\) 0.226271 4.75002i 0.0131517 0.276089i
\(297\) −4.95076 + 0.954180i −0.287272 + 0.0553672i
\(298\) −8.10404 + 14.0366i −0.469455 + 0.813119i
\(299\) −18.7416 + 20.7577i −1.08386 + 1.20045i
\(300\) −6.59468 −0.380744
\(301\) 6.51882 12.9742i 0.375739 0.747822i
\(302\) 14.3907 + 9.24836i 0.828094 + 0.532184i
\(303\) −9.27187 + 3.71190i −0.532655 + 0.213243i
\(304\) 10.0400 + 14.0992i 0.575834 + 0.808646i
\(305\) −1.61721 0.647434i −0.0926013 0.0370720i
\(306\) 0.926682 + 3.81983i 0.0529749 + 0.218365i
\(307\) 6.98716 4.49037i 0.398778 0.256279i −0.325847 0.945423i \(-0.605649\pi\)
0.724625 + 0.689143i \(0.242013\pi\)
\(308\) 32.7514 + 7.58569i 1.86618 + 0.432235i
\(309\) −17.3551 + 5.09592i −0.987298 + 0.289897i
\(310\) 17.1650 + 3.30828i 0.974905 + 0.187897i
\(311\) −8.91929 25.7706i −0.505766 1.46132i −0.852187 0.523237i \(-0.824724\pi\)
0.346421 0.938079i \(-0.387397\pi\)
\(312\) −1.52054 + 6.26774i −0.0860835 + 0.354841i
\(313\) −4.76663 + 6.69379i −0.269426 + 0.378356i −0.927017 0.375019i \(-0.877636\pi\)
0.657591 + 0.753375i \(0.271575\pi\)
\(314\) 1.42994 0.918969i 0.0806964 0.0518604i
\(315\) 3.73281 + 1.65803i 0.210320 + 0.0934193i
\(316\) 4.69740 + 32.6711i 0.264249 + 1.83789i
\(317\) −8.71170 + 0.831867i −0.489298 + 0.0467223i −0.336790 0.941580i \(-0.609341\pi\)
−0.152508 + 0.988302i \(0.548735\pi\)
\(318\) −10.9970 8.64812i −0.616680 0.484962i
\(319\) −9.73075 + 5.01655i −0.544817 + 0.280873i
\(320\) −5.79634 + 16.7474i −0.324025 + 0.936209i
\(321\) 7.64172 0.426519
\(322\) 25.5802 8.56776i 1.42553 0.477462i
\(323\) −11.9003 −0.662153
\(324\) −0.824278 + 2.38160i −0.0457932 + 0.132311i
\(325\) −13.5630 + 6.99219i −0.752338 + 0.387857i
\(326\) 35.1828 + 27.6681i 1.94860 + 1.53239i
\(327\) −11.6685 + 1.11421i −0.645271 + 0.0616160i
\(328\) 0.194874 + 1.35538i 0.0107601 + 0.0748382i
\(329\) −5.03756 + 3.66676i −0.277730 + 0.202155i
\(330\) 13.9215 8.94678i 0.766351 0.492504i
\(331\) −10.8687 + 15.2629i −0.597396 + 0.838926i −0.996971 0.0777748i \(-0.975218\pi\)
0.399574 + 0.916701i \(0.369158\pi\)
\(332\) −3.47447 + 14.3219i −0.190686 + 0.786019i
\(333\) −1.40628 4.06318i −0.0770637 0.222661i
\(334\) 30.7001 + 5.91696i 1.67984 + 0.323762i
\(335\) −4.98155 + 1.46271i −0.272171 + 0.0799166i
\(336\) −4.85567 + 5.19968i −0.264899 + 0.283666i
\(337\) −5.29331 + 3.40180i −0.288345 + 0.185308i −0.676815 0.736153i \(-0.736640\pi\)
0.388470 + 0.921461i \(0.373004\pi\)
\(338\) 10.5289 + 43.4008i 0.572697 + 2.36069i
\(339\) 19.4144 + 7.77235i 1.05445 + 0.422136i
\(340\) −4.17231 5.85920i −0.226276 0.317759i
\(341\) 24.9292 9.98015i 1.34999 0.540455i
\(342\) −11.5128 7.39885i −0.622543 0.400084i
\(343\) −5.76946 17.5987i −0.311522 0.950239i
\(344\) −6.06968 −0.327255
\(345\) 3.21239 6.67053i 0.172949 0.359129i
\(346\) −8.14179 + 14.1020i −0.437705 + 0.758128i
\(347\) 1.04599 0.201598i 0.0561518 0.0108224i −0.161098 0.986938i \(-0.551504\pi\)
0.217250 + 0.976116i \(0.430291\pi\)
\(348\) −0.260382 + 5.46609i −0.0139579 + 0.293013i
\(349\) 0.525382 3.65411i 0.0281230 0.195600i −0.970916 0.239418i \(-0.923043\pi\)
0.999040 + 0.0438184i \(0.0139523\pi\)
\(350\) 14.7091 + 0.547454i 0.786233 + 0.0292627i
\(351\) 0.829900 + 5.77208i 0.0442968 + 0.308091i
\(352\) 9.42489 + 38.8499i 0.502348 + 2.07071i
\(353\) 0.358290 + 7.52143i 0.0190698 + 0.400325i 0.988142 + 0.153546i \(0.0490693\pi\)
−0.969072 + 0.246779i \(0.920628\pi\)
\(354\) −0.652397 0.0622964i −0.0346745 0.00331101i
\(355\) 16.9838 + 16.1940i 0.901408 + 0.859491i
\(356\) 23.9928 27.6892i 1.27162 1.46752i
\(357\) −0.975593 4.79311i −0.0516339 0.253678i
\(358\) −33.7902 + 9.92168i −1.78587 + 0.524377i
\(359\) −9.85407 + 13.8381i −0.520078 + 0.730347i −0.988175 0.153330i \(-0.951000\pi\)
0.468097 + 0.883677i \(0.344940\pi\)
\(360\) −0.0812424 1.70549i −0.00428185 0.0898871i
\(361\) 16.2360 15.4810i 0.854525 0.814787i
\(362\) 12.3047 9.67653i 0.646721 0.508587i
\(363\) 5.99047 13.1173i 0.314418 0.688480i
\(364\) 10.5661 37.4199i 0.553814 1.96134i
\(365\) 15.8829 + 10.2073i 0.831350 + 0.534276i
\(366\) −0.784651 + 2.26710i −0.0410144 + 0.118503i
\(367\) 16.2620 28.1666i 0.848869 1.47028i −0.0333496 0.999444i \(-0.510617\pi\)
0.882218 0.470840i \(-0.156049\pi\)
\(368\) 9.14968 + 9.08775i 0.476960 + 0.473732i
\(369\) 0.619042 + 1.07221i 0.0322260 + 0.0558171i
\(370\) 9.24164 + 10.6654i 0.480450 + 0.554469i
\(371\) 13.2752 + 11.2635i 0.689215 + 0.584772i
\(372\) 1.91022 13.2859i 0.0990401 0.688839i
\(373\) 25.5421 2.43898i 1.32252 0.126286i 0.590207 0.807252i \(-0.299046\pi\)
0.732315 + 0.680966i \(0.238440\pi\)
\(374\) −18.3981 7.36551i −0.951346 0.380861i
\(375\) 8.51010 8.11436i 0.439459 0.419024i
\(376\) 2.31508 + 1.19350i 0.119391 + 0.0615503i
\(377\) 5.26006 + 11.5179i 0.270907 + 0.593204i
\(378\) 2.03621 5.24359i 0.104732 0.269701i
\(379\) −19.0598 + 21.9962i −0.979035 + 1.12987i 0.0124863 + 0.999922i \(0.496025\pi\)
−0.991521 + 0.129944i \(0.958520\pi\)
\(380\) 24.5912 + 4.73956i 1.26150 + 0.243134i
\(381\) −3.49441 + 14.4041i −0.179024 + 0.737947i
\(382\) 14.1240 + 1.34868i 0.722647 + 0.0690045i
\(383\) −15.4267 7.95299i −0.788265 0.406379i 0.0165810 0.999863i \(-0.494722\pi\)
−0.804846 + 0.593484i \(0.797752\pi\)
\(384\) 8.20239 + 2.40844i 0.418576 + 0.122905i
\(385\) −17.7264 + 10.4816i −0.903420 + 0.534191i
\(386\) −12.7257 + 27.8653i −0.647719 + 1.41831i
\(387\) −5.09487 + 2.03968i −0.258987 + 0.103683i
\(388\) 13.2595 6.83577i 0.673152 0.347034i
\(389\) −17.2223 + 3.31933i −0.873207 + 0.168297i −0.606118 0.795375i \(-0.707274\pi\)
−0.267089 + 0.963672i \(0.586062\pi\)
\(390\) −9.57000 16.5757i −0.484596 0.839345i
\(391\) −8.73859 + 1.50000i −0.441930 + 0.0758581i
\(392\) −5.49082 + 5.45793i −0.277328 + 0.275667i
\(393\) −4.11762 4.75199i −0.207706 0.239706i
\(394\) −1.15358 + 24.2167i −0.0581166 + 1.22002i
\(395\) −15.8932 12.4985i −0.799673 0.628869i
\(396\) −7.37052 10.3504i −0.370383 0.520129i
\(397\) 25.1079 19.7451i 1.26013 0.990979i 0.260457 0.965486i \(-0.416127\pi\)
0.999675 0.0254931i \(-0.00811559\pi\)
\(398\) −16.8169 4.93788i −0.842953 0.247513i
\(399\) 13.9745 + 9.73383i 0.699602 + 0.487301i
\(400\) 2.92299 + 6.40045i 0.146149 + 0.320023i
\(401\) 16.1909 + 15.4380i 0.808536 + 0.770937i 0.976651 0.214830i \(-0.0689198\pi\)
−0.168116 + 0.985767i \(0.553768\pi\)
\(402\) 2.33858 + 6.75688i 0.116638 + 0.337003i
\(403\) −10.1580 29.3498i −0.506008 1.46202i
\(404\) −18.2164 17.3693i −0.906298 0.864154i
\(405\) −0.641312 1.40428i −0.0318671 0.0697791i
\(406\) 1.03453 12.1702i 0.0513430 0.603997i
\(407\) 20.8002 + 6.10749i 1.03103 + 0.302737i
\(408\) −1.60727 + 1.26397i −0.0795717 + 0.0625758i
\(409\) 4.91389 + 6.90059i 0.242976 + 0.341212i 0.917998 0.396586i \(-0.129805\pi\)
−0.675021 + 0.737798i \(0.735866\pi\)
\(410\) −3.19424 2.51198i −0.157752 0.124058i
\(411\) 0.411110 8.63026i 0.0202785 0.425699i
\(412\) −29.8518 34.4508i −1.47069 1.69727i
\(413\) 0.808416 + 0.107665i 0.0397796 + 0.00529787i
\(414\) −9.38664 3.98193i −0.461328 0.195701i
\(415\) −4.51379 7.81811i −0.221573 0.383776i
\(416\) 45.4017 8.75046i 2.22600 0.429027i
\(417\) −11.9336 + 6.15222i −0.584393 + 0.301276i
\(418\) 64.0571 25.6446i 3.13313 1.25432i
\(419\) −3.35577 + 7.34812i −0.163940 + 0.358979i −0.973718 0.227758i \(-0.926860\pi\)
0.809778 + 0.586737i \(0.199588\pi\)
\(420\) 0.107034 + 10.2932i 0.00522275 + 0.502255i
\(421\) −0.0805178 0.0236422i −0.00392420 0.00115225i 0.279770 0.960067i \(-0.409742\pi\)
−0.283694 + 0.958915i \(0.591560\pi\)
\(422\) −15.8979 8.19595i −0.773899 0.398973i
\(423\) 2.34434 + 0.223857i 0.113985 + 0.0108843i
\(424\) 1.71579 7.07258i 0.0833261 0.343475i
\(425\) −4.75030 0.915545i −0.230423 0.0444105i
\(426\) 21.1640 24.4245i 1.02540 1.18337i
\(427\) 1.08070 2.78298i 0.0522986 0.134678i
\(428\) 8.00036 + 17.5183i 0.386712 + 0.846781i
\(429\) −26.1330 13.4725i −1.26171 0.650457i
\(430\) 13.0364 12.4302i 0.628672 0.599437i
\(431\) −1.64489 0.658515i −0.0792317 0.0317196i 0.331708 0.943382i \(-0.392375\pi\)
−0.410940 + 0.911663i \(0.634799\pi\)
\(432\) 2.67680 0.255604i 0.128788 0.0122977i
\(433\) −3.04839 + 21.2020i −0.146496 + 1.01890i 0.775401 + 0.631469i \(0.217548\pi\)
−0.921897 + 0.387435i \(0.873361\pi\)
\(434\) −5.36355 + 29.4748i −0.257459 + 1.41484i
\(435\) −2.19518 2.53337i −0.105251 0.121466i
\(436\) −14.7704 25.5831i −0.707375 1.22521i
\(437\) 18.4158 24.7756i 0.880949 1.18518i
\(438\) 13.0007 22.5178i 0.621196 1.07594i
\(439\) 5.07650 14.6676i 0.242288 0.700046i −0.756643 0.653828i \(-0.773162\pi\)
0.998931 0.0462177i \(-0.0147168\pi\)
\(440\) 7.24201 + 4.65416i 0.345249 + 0.221878i
\(441\) −2.77487 + 6.42652i −0.132136 + 0.306025i
\(442\) −9.52182 + 20.8499i −0.452907 + 0.991728i
\(443\) −4.00499 + 3.14956i −0.190283 + 0.149640i −0.708756 0.705454i \(-0.750743\pi\)
0.518473 + 0.855094i \(0.326501\pi\)
\(444\) 7.84240 7.47771i 0.372184 0.354876i
\(445\) 1.06789 + 22.4177i 0.0506227 + 1.06270i
\(446\) −34.9440 + 49.0720i −1.65465 + 2.32363i
\(447\) −7.31467 + 2.14778i −0.345972 + 0.101586i
\(448\) −28.8036 9.63482i −1.36084 0.455202i
\(449\) 2.69434 3.10943i 0.127154 0.146743i −0.688603 0.725139i \(-0.741776\pi\)
0.815756 + 0.578396i \(0.196321\pi\)
\(450\) −4.02639 3.83915i −0.189806 0.180979i
\(451\) −6.21399 0.593364i −0.292605 0.0279404i
\(452\) 2.50774 + 52.6438i 0.117954 + 2.47616i
\(453\) 1.89690 + 7.81914i 0.0891243 + 0.367375i
\(454\) 2.17923 + 15.1569i 0.102276 + 0.711347i
\(455\) 11.1337 + 21.0560i 0.521958 + 0.987119i
\(456\) 1.01316 7.04671i 0.0474458 0.329993i
\(457\) −1.10954 + 23.2921i −0.0519021 + 1.08956i 0.811277 + 0.584662i \(0.198773\pi\)
−0.863179 + 0.504897i \(0.831530\pi\)
\(458\) 20.0619 3.86662i 0.937432 0.180675i
\(459\) −0.924386 + 1.60108i −0.0431466 + 0.0747322i
\(460\) 18.6551 + 0.380696i 0.869797 + 0.0177500i
\(461\) −33.2558 −1.54888 −0.774438 0.632650i \(-0.781967\pi\)
−0.774438 + 0.632650i \(0.781967\pi\)
\(462\) 15.5803 + 23.6980i 0.724861 + 1.10253i
\(463\) 16.6978 + 10.7310i 0.776013 + 0.498713i 0.867708 0.497074i \(-0.165592\pi\)
−0.0916955 + 0.995787i \(0.529229\pi\)
\(464\) 5.42051 2.17005i 0.251641 0.100742i
\(465\) 4.76930 + 6.69754i 0.221171 + 0.310591i
\(466\) 40.5466 + 16.2324i 1.87829 + 0.751952i
\(467\) −6.26858 25.8394i −0.290075 1.19571i −0.911190 0.411987i \(-0.864835\pi\)
0.621115 0.783720i \(-0.286680\pi\)
\(468\) −12.3634 + 7.94548i −0.571499 + 0.367280i
\(469\) −2.59544 8.51088i −0.119847 0.392996i
\(470\) −7.41650 + 2.17768i −0.342098 + 0.100449i
\(471\) 0.785042 + 0.151304i 0.0361728 + 0.00697174i
\(472\) −0.111505 0.322173i −0.00513244 0.0148292i
\(473\) 6.52338 26.8897i 0.299945 1.23639i
\(474\) −16.1518 + 22.6820i −0.741877 + 1.04182i
\(475\) 14.1697 9.10632i 0.650151 0.417827i
\(476\) 9.96663 7.25456i 0.456820 0.332512i
\(477\) −0.936467 6.51327i −0.0428779 0.298222i
\(478\) 16.2870 1.55522i 0.744950 0.0711341i
\(479\) −5.10361 4.01353i −0.233190 0.183383i 0.494726 0.869049i \(-0.335268\pi\)
−0.727916 + 0.685666i \(0.759511\pi\)
\(480\) −10.8799 + 5.60898i −0.496598 + 0.256014i
\(481\) 8.20064 23.6942i 0.373917 1.08036i
\(482\) −7.05797 −0.321482
\(483\) 11.4886 + 5.38625i 0.522750 + 0.245083i
\(484\) 36.3425 1.65193
\(485\) −2.98880 + 8.63557i −0.135714 + 0.392121i
\(486\) −1.88973 + 0.974225i −0.0857200 + 0.0441917i
\(487\) −1.43454 1.12813i −0.0650052 0.0511207i 0.585128 0.810941i \(-0.301044\pi\)
−0.650133 + 0.759820i \(0.725287\pi\)
\(488\) −1.24234 + 0.118629i −0.0562383 + 0.00537010i
\(489\) 2.99606 + 20.8380i 0.135486 + 0.942329i
\(490\) 0.615748 22.9672i 0.0278166 1.03755i
\(491\) −11.2996 + 7.26180i −0.509943 + 0.327720i −0.770182 0.637824i \(-0.779835\pi\)
0.260240 + 0.965544i \(0.416198\pi\)
\(492\) −1.80991 + 2.54166i −0.0815969 + 0.114587i
\(493\) −0.946421 + 3.90120i −0.0426247 + 0.175701i
\(494\) −26.1017 75.4159i −1.17437 3.39312i
\(495\) 7.64291 + 1.47305i 0.343523 + 0.0662087i
\(496\) −13.7412 + 4.03479i −0.617000 + 0.181167i
\(497\) −27.4493 + 29.3940i −1.23127 + 1.31850i
\(498\) −10.4590 + 6.72159i −0.468679 + 0.301202i
\(499\) −7.34472 30.2754i −0.328795 1.35531i −0.860961 0.508671i \(-0.830137\pi\)
0.532166 0.846640i \(-0.321378\pi\)
\(500\) 27.5113 + 11.0139i 1.23034 + 0.492555i
\(501\) 8.53005 + 11.9788i 0.381095 + 0.535173i
\(502\) −55.5078 + 22.2220i −2.47744 + 0.991815i
\(503\) 10.4991 + 6.74736i 0.468131 + 0.300850i 0.753358 0.657610i \(-0.228433\pi\)
−0.285227 + 0.958460i \(0.592069\pi\)
\(504\) 2.92127 0.169618i 0.130124 0.00755540i
\(505\) 15.4182 0.686102
\(506\) 43.8056 26.9054i 1.94740 1.19609i
\(507\) −10.5028 + 18.1914i −0.466447 + 0.807910i
\(508\) −36.6793 + 7.06936i −1.62738 + 0.313652i
\(509\) 0.0152231 0.319572i 0.000674752 0.0141648i −0.998505 0.0546631i \(-0.982592\pi\)
0.999180 + 0.0404983i \(0.0128945\pi\)
\(510\) 0.863575 6.00629i 0.0382397 0.265963i
\(511\) −17.2094 + 27.4007i −0.761300 + 1.21213i
\(512\) −3.88076 26.9912i −0.171507 1.19286i
\(513\) −1.51756 6.25545i −0.0670017 0.276185i
\(514\) −0.574733 12.0651i −0.0253504 0.532170i
\(515\) 27.7973 + 2.65432i 1.22489 + 0.116963i
\(516\) −10.0099 9.54437i −0.440659 0.420168i
\(517\) −7.77555 + 8.97347i −0.341968 + 0.394653i
\(518\) −18.1128 + 16.0276i −0.795831 + 0.704212i
\(519\) −7.34873 + 2.15778i −0.322574 + 0.0947161i
\(520\) 5.77546 8.11050i 0.253271 0.355669i
\(521\) −1.97587 41.4786i −0.0865645 1.81721i −0.458217 0.888840i \(-0.651512\pi\)
0.371653 0.928372i \(-0.378791\pi\)
\(522\) −3.34111 + 3.18574i −0.146237 + 0.139436i
\(523\) −10.5346 + 8.28454i −0.460648 + 0.362258i −0.821351 0.570423i \(-0.806779\pi\)
0.360703 + 0.932681i \(0.382537\pi\)
\(524\) 6.58287 14.4145i 0.287574 0.629699i
\(525\) 4.82939 + 4.96061i 0.210772 + 0.216499i
\(526\) 16.6796 + 10.7193i 0.727264 + 0.467384i
\(527\) 3.22046 9.30491i 0.140285 0.405328i
\(528\) −6.77874 + 11.7411i −0.295007 + 0.510967i
\(529\) 10.4001 20.5143i 0.452180 0.891927i
\(530\) 10.7989 + 18.7042i 0.469073 + 0.812459i
\(531\) −0.201861 0.232960i −0.00876003 0.0101096i
\(532\) −7.68403 + 42.2267i −0.333145 + 1.83076i
\(533\) −1.02749 + 7.14632i −0.0445053 + 0.309541i
\(534\) 30.7683 2.93802i 1.33148 0.127141i
\(535\) −10.9521 4.38457i −0.473502 0.189562i
\(536\) −2.69195 + 2.56677i −0.116275 + 0.110868i
\(537\) −14.7228 7.59014i −0.635336 0.327539i
\(538\) −18.6549 40.8485i −0.804270 1.76110i
\(539\) −18.2783 30.1911i −0.787303 1.30042i
\(540\) 2.54784 2.94036i 0.109642 0.126533i
\(541\) −32.4333 6.25101i −1.39442 0.268752i −0.563946 0.825812i \(-0.690717\pi\)
−0.830472 + 0.557060i \(0.811929\pi\)
\(542\) −5.72538 + 23.6003i −0.245926 + 1.01372i
\(543\) 7.32942 + 0.699875i 0.314535 + 0.0300345i
\(544\) 13.0293 + 6.71707i 0.558627 + 0.287992i
\(545\) 17.3627 + 5.09814i 0.743735 + 0.218380i
\(546\) 28.2355 16.6956i 1.20837 0.714507i
\(547\) 0.544445 1.19217i 0.0232788 0.0509735i −0.897635 0.440739i \(-0.854717\pi\)
0.920914 + 0.389765i \(0.127444\pi\)
\(548\) 20.2149 8.09283i 0.863538 0.345709i
\(549\) −1.00295 + 0.517058i −0.0428050 + 0.0220675i
\(550\) 27.5428 5.30844i 1.17443 0.226353i
\(551\) −6.98843 12.1043i −0.297717 0.515661i
\(552\) −0.144232 5.30221i −0.00613894 0.225677i
\(553\) 21.1357 27.4591i 0.898781 1.16768i
\(554\) −21.4790 24.7881i −0.912555 1.05315i
\(555\) −0.315837 + 6.63024i −0.0134065 + 0.281438i
\(556\) −26.5974 20.9164i −1.12798 0.887055i
\(557\) 5.15295 + 7.23631i 0.218337 + 0.306612i 0.909188 0.416385i \(-0.136703\pi\)
−0.690851 + 0.722997i \(0.742764\pi\)
\(558\) 8.90077 6.99964i 0.376800 0.296319i
\(559\) −30.7065 9.01624i −1.29875 0.381346i
\(560\) 9.94257 4.66617i 0.420150 0.197181i
\(561\) −3.87219 8.47892i −0.163484 0.357980i
\(562\) 28.0998 + 26.7931i 1.18532 + 1.13020i
\(563\) 9.16668 + 26.4854i 0.386329 + 1.11623i 0.955750 + 0.294179i \(0.0950463\pi\)
−0.569421 + 0.822046i \(0.692832\pi\)
\(564\) 1.94117 + 5.60865i 0.0817382 + 0.236167i
\(565\) −23.3652 22.2787i −0.982983 0.937272i
\(566\) −5.97370 13.0806i −0.251093 0.549817i
\(567\) 2.39510 1.12405i 0.100585 0.0472057i
\(568\) 16.1311 + 4.73652i 0.676846 + 0.198740i
\(569\) −13.5100 + 10.6244i −0.566369 + 0.445397i −0.859835 0.510572i \(-0.829434\pi\)
0.293466 + 0.955969i \(0.405191\pi\)
\(570\) 12.2550 + 17.2097i 0.513305 + 0.720837i
\(571\) −24.2580 19.0767i −1.01516 0.798335i −0.0355804 0.999367i \(-0.511328\pi\)
−0.979585 + 0.201032i \(0.935570\pi\)
\(572\) 3.52570 74.0135i 0.147417 3.09466i
\(573\) 4.37018 + 5.04345i 0.182567 + 0.210693i
\(574\) 4.24789 5.51878i 0.177304 0.230350i
\(575\) 9.25720 8.47294i 0.386052 0.353346i
\(576\) 5.73982 + 9.94166i 0.239159 + 0.414236i
\(577\) 24.8880 4.79677i 1.03610 0.199692i 0.357281 0.933997i \(-0.383704\pi\)
0.678820 + 0.734305i \(0.262492\pi\)
\(578\) 25.6664 13.2320i 1.06758 0.550377i
\(579\) −13.3764 + 5.35510i −0.555904 + 0.222550i
\(580\) 3.50944 7.68461i 0.145722 0.319086i
\(581\) 13.3176 7.87466i 0.552506 0.326696i
\(582\) 12.0751 + 3.54558i 0.500531 + 0.146969i
\(583\) 29.4887 + 15.2025i 1.22130 + 0.629622i
\(584\) 13.4648 + 1.28573i 0.557176 + 0.0532038i
\(585\) 2.12242 8.74873i 0.0877512 0.361715i
\(586\) 14.7879 + 2.85014i 0.610884 + 0.117738i
\(587\) −2.28476 + 2.63675i −0.0943020 + 0.108830i −0.800939 0.598746i \(-0.795666\pi\)
0.706637 + 0.707576i \(0.250211\pi\)
\(588\) −17.6376 + 0.366853i −0.727363 + 0.0151288i
\(589\) 14.2415 + 31.1845i 0.586810 + 1.28493i
\(590\) 0.899273 + 0.463607i 0.0370225 + 0.0190864i
\(591\) −8.25289 + 7.86912i −0.339479 + 0.323692i
\(592\) −10.7335 4.29704i −0.441144 0.176607i
\(593\) 24.4400 2.33374i 1.00363 0.0958350i 0.419720 0.907654i \(-0.362128\pi\)
0.583910 + 0.811819i \(0.301522\pi\)
\(594\) 1.52553 10.6103i 0.0625933 0.435346i
\(595\) −1.35191 + 7.42926i −0.0554229 + 0.304570i
\(596\) −12.5816 14.5200i −0.515364 0.594762i
\(597\) −4.12187 7.13929i −0.168697 0.292192i
\(598\) −28.6728 52.0890i −1.17252 2.13008i
\(599\) −15.0888 + 26.1346i −0.616512 + 1.06783i 0.373605 + 0.927588i \(0.378121\pi\)
−0.990117 + 0.140242i \(0.955212\pi\)
\(600\) 0.946562 2.73491i 0.0386432 0.111652i
\(601\) 7.70095 + 4.94910i 0.314128 + 0.201878i 0.688199 0.725522i \(-0.258402\pi\)
−0.374070 + 0.927400i \(0.622038\pi\)
\(602\) 21.5341 + 22.1192i 0.877665 + 0.901510i
\(603\) −1.39707 + 3.05915i −0.0568930 + 0.124578i
\(604\) −15.9391 + 12.5347i −0.648554 + 0.510029i
\(605\) −16.1118 + 15.3626i −0.655040 + 0.624579i
\(606\) −1.01034 21.2097i −0.0410423 0.861584i
\(607\) −18.6054 + 26.1276i −0.755169 + 1.06049i 0.240782 + 0.970579i \(0.422596\pi\)
−0.995950 + 0.0899066i \(0.971343\pi\)
\(608\) −48.9705 + 14.3790i −1.98602 + 0.583147i
\(609\) 4.30235 3.80705i 0.174340 0.154269i
\(610\) 2.42535 2.79901i 0.0981996 0.113328i
\(611\) 9.93906 + 9.47687i 0.402091 + 0.383393i
\(612\) −4.63819 0.442893i −0.187488 0.0179029i
\(613\) 1.56437 + 32.8401i 0.0631842 + 1.32640i 0.778520 + 0.627620i \(0.215971\pi\)
−0.715336 + 0.698781i \(0.753726\pi\)
\(614\) 4.16314 + 17.1607i 0.168011 + 0.692549i
\(615\) −0.272012 1.89188i −0.0109686 0.0762880i
\(616\) −7.84684 + 12.4937i −0.316158 + 0.503384i
\(617\) 3.52701 24.5309i 0.141992 0.987577i −0.786861 0.617130i \(-0.788295\pi\)
0.928853 0.370447i \(-0.120796\pi\)
\(618\) 1.82981 38.4125i 0.0736059 1.54518i
\(619\) 25.4284 4.90092i 1.02205 0.196985i 0.349425 0.936964i \(-0.386377\pi\)
0.672629 + 0.739980i \(0.265165\pi\)
\(620\) −10.3607 + 17.9453i −0.416096 + 0.720700i
\(621\) −1.90284 4.40218i −0.0763583 0.176653i
\(622\) 57.9791 2.32475
\(623\) −38.3985 + 2.22954i −1.53840 + 0.0893247i
\(624\) 13.1914 + 8.47757i 0.528077 + 0.339375i
\(625\) −4.70604 + 1.88401i −0.188242 + 0.0753605i
\(626\) −10.1342 14.2315i −0.405045 0.568806i
\(627\) 30.1292 + 12.0619i 1.20325 + 0.481707i
\(628\) 0.475026 + 1.95808i 0.0189556 + 0.0781360i
\(629\) 6.68720 4.29760i 0.266636 0.171357i
\(630\) −5.92691 + 6.34681i −0.236134 + 0.252863i
\(631\) 29.3664 8.62275i 1.16906 0.343266i 0.361111 0.932523i \(-0.382398\pi\)
0.807946 + 0.589257i \(0.200579\pi\)
\(632\) −14.2234 2.74134i −0.565778 0.109045i
\(633\) −2.75156 7.95010i −0.109364 0.315988i
\(634\) 4.38653 18.0815i 0.174211 0.718109i
\(635\) 13.2728 18.6391i 0.526716 0.739669i
\(636\) 13.9510 8.96576i 0.553193 0.355515i
\(637\) −35.8855 + 19.4553i −1.42184 + 0.770846i
\(638\) −3.31249 23.0388i −0.131143 0.912117i
\(639\) 15.1321 1.44494i 0.598615 0.0571608i
\(640\) −10.3738 8.15804i −0.410060 0.322475i
\(641\) −8.64632 + 4.45749i −0.341509 + 0.176060i −0.620446 0.784249i \(-0.713048\pi\)
0.278937 + 0.960310i \(0.410018\pi\)
\(642\) −5.31384 + 15.3533i −0.209720 + 0.605948i
\(643\) −15.3263 −0.604411 −0.302206 0.953243i \(-0.597723\pi\)
−0.302206 + 0.953243i \(0.597723\pi\)
\(644\) −0.319966 + 31.9762i −0.0126084 + 1.26004i
\(645\) 8.47228 0.333596
\(646\) 8.27517 23.9095i 0.325582 0.940708i
\(647\) 9.39039 4.84108i 0.369174 0.190323i −0.263649 0.964619i \(-0.584926\pi\)
0.632824 + 0.774296i \(0.281896\pi\)
\(648\) −0.869371 0.683681i −0.0341521 0.0268575i
\(649\) 1.54712 0.147732i 0.0607298 0.00579900i
\(650\) −4.61703 32.1121i −0.181095 1.25954i
\(651\) −11.3927 + 8.29257i −0.446514 + 0.325011i
\(652\) −44.6337 + 28.6843i −1.74799 + 1.12336i
\(653\) −13.4194 + 18.8449i −0.525143 + 0.737460i −0.988913 0.148496i \(-0.952557\pi\)
0.463770 + 0.885955i \(0.346496\pi\)
\(654\) 5.87536 24.2186i 0.229745 0.947021i
\(655\) 3.17485 + 9.17312i 0.124052 + 0.358423i
\(656\) 3.26902 + 0.630051i 0.127634 + 0.0245994i
\(657\) 11.7343 3.44551i 0.457800 0.134422i
\(658\) −3.86408 12.6709i −0.150638 0.493965i
\(659\) −11.6331 + 7.47611i −0.453159 + 0.291228i −0.747242 0.664552i \(-0.768622\pi\)
0.294082 + 0.955780i \(0.404986\pi\)
\(660\) 4.62469 + 19.0632i 0.180016 + 0.742036i
\(661\) 10.1511 + 4.06389i 0.394832 + 0.158067i 0.560578 0.828102i \(-0.310579\pi\)
−0.165746 + 0.986168i \(0.553003\pi\)
\(662\) −23.1076 32.4501i −0.898104 1.26121i
\(663\) −10.0087 + 4.00689i −0.388707 + 0.155615i
\(664\) −5.44082 3.49660i −0.211145 0.135694i
\(665\) −14.4434 21.9687i −0.560090 0.851909i
\(666\) 9.14141 0.354222
\(667\) −6.65741 8.00750i −0.257776 0.310052i
\(668\) −18.5305 + 32.0957i −0.716966 + 1.24182i
\(669\) −27.8229 + 5.36243i −1.07570 + 0.207324i
\(670\) 0.525222 11.0258i 0.0202911 0.425963i
\(671\) 0.809657 5.63129i 0.0312565 0.217394i
\(672\) −9.80607 18.5451i −0.378277 0.715392i
\(673\) −4.31043 29.9797i −0.166155 1.15563i −0.886741 0.462267i \(-0.847036\pi\)
0.720586 0.693365i \(-0.243873\pi\)
\(674\) −3.15390 13.0005i −0.121484 0.500762i
\(675\) −0.124509 2.61376i −0.00479234 0.100604i
\(676\) −52.6988 5.03213i −2.02688 0.193543i
\(677\) 5.16831 + 4.92797i 0.198634 + 0.189397i 0.782868 0.622188i \(-0.213756\pi\)
−0.584233 + 0.811586i \(0.698605\pi\)
\(678\) −29.1160 + 33.6017i −1.11819 + 1.29046i
\(679\) −14.8522 4.96806i −0.569973 0.190657i
\(680\) 3.02877 0.889326i 0.116148 0.0341041i
\(681\) −4.17777 + 5.86685i −0.160092 + 0.224818i
\(682\) 2.71650 + 57.0263i 0.104020 + 2.18365i
\(683\) −27.4260 + 26.1506i −1.04943 + 1.00063i −0.0494273 + 0.998778i \(0.515740\pi\)
−0.999998 + 0.00184754i \(0.999412\pi\)
\(684\) 12.7516 10.0280i 0.487569 0.383428i
\(685\) −5.54096 + 12.1330i −0.211709 + 0.463579i
\(686\) 39.3702 + 0.645934i 1.50316 + 0.0246619i
\(687\) 8.08426 + 5.19544i 0.308434 + 0.198218i
\(688\) −4.82656 + 13.9454i −0.184011 + 0.531665i
\(689\) 19.1862 33.2314i 0.730934 1.26602i
\(690\) 11.1682 + 11.0927i 0.425168 + 0.422290i
\(691\) 13.4545 + 23.3039i 0.511834 + 0.886522i 0.999906 + 0.0137185i \(0.00436689\pi\)
−0.488072 + 0.872803i \(0.662300\pi\)
\(692\) −12.6402 14.5876i −0.480510 0.554538i
\(693\) −2.38819 + 13.1240i −0.0907198 + 0.498540i
\(694\) −0.322313 + 2.24174i −0.0122348 + 0.0850951i
\(695\) 20.6333 1.97024i 0.782665 0.0747354i
\(696\) −2.22950 0.892555i −0.0845088 0.0338322i
\(697\) −1.65658 + 1.57954i −0.0627474 + 0.0598295i
\(698\) 6.97630 + 3.59653i 0.264057 + 0.136131i
\(699\) 8.53371 + 18.6862i 0.322774 + 0.706777i
\(700\) −6.31594 + 16.2646i −0.238720 + 0.614744i
\(701\) −10.7743 + 12.4343i −0.406941 + 0.469635i −0.921815 0.387631i \(-0.873294\pi\)
0.514873 + 0.857266i \(0.327839\pi\)
\(702\) −12.1740 2.34635i −0.459479 0.0885574i
\(703\) −6.52497 + 26.8963i −0.246094 + 1.01441i
\(704\) −57.6168 5.50173i −2.17151 0.207354i
\(705\) −3.23146 1.66594i −0.121704 0.0627428i
\(706\) −15.3608 4.51033i −0.578111 0.169749i
\(707\) 0.274756 + 26.4224i 0.0103333 + 0.993717i
\(708\) 0.322717 0.706652i 0.0121284 0.0265576i
\(709\) −9.31748 + 3.73016i −0.349925 + 0.140089i −0.539965 0.841687i \(-0.681563\pi\)
0.190040 + 0.981776i \(0.439138\pi\)
\(710\) −44.3463 + 22.8621i −1.66429 + 0.857999i
\(711\) −12.8603 + 2.47862i −0.482299 + 0.0929556i
\(712\) 8.03932 + 13.9245i 0.301286 + 0.521843i
\(713\) 14.3884 + 21.1041i 0.538851 + 0.790356i
\(714\) 10.3085 + 1.37289i 0.385784 + 0.0513790i
\(715\) 29.7237 + 34.3030i 1.11160 + 1.28286i
\(716\) 1.98631 41.6978i 0.0742319 1.55832i
\(717\) 6.04902 + 4.75700i 0.225905 + 0.177653i
\(718\) −20.9505 29.4209i −0.781866 1.09798i
\(719\) 40.1079 31.5412i 1.49577 1.17629i 0.557606 0.830106i \(-0.311720\pi\)
0.938167 0.346183i \(-0.112522\pi\)
\(720\) −3.98306 1.16953i −0.148440 0.0435858i
\(721\) −4.05339 + 47.6838i −0.150956 + 1.77584i
\(722\) 19.8135 + 43.3854i 0.737381 + 1.61464i
\(723\) −2.40259 2.29087i −0.0893533 0.0851982i
\(724\) 6.06896 + 17.5351i 0.225551 + 0.651687i
\(725\) −1.85836 5.36937i −0.0690176 0.199413i
\(726\) 22.1890 + 21.1571i 0.823510 + 0.785215i
\(727\) −12.7538 27.9270i −0.473014 1.03576i −0.984326 0.176361i \(-0.943567\pi\)
0.511311 0.859395i \(-0.329160\pi\)
\(728\) 14.0020 + 9.75296i 0.518949 + 0.361469i
\(729\) −0.959493 0.281733i −0.0355368 0.0104345i
\(730\) −31.5526 + 24.8132i −1.16781 + 0.918378i
\(731\) −5.88527 8.26471i −0.217675 0.305681i
\(732\) −2.23536 1.75791i −0.0826212 0.0649740i
\(733\) −2.23651 + 46.9502i −0.0826075 + 1.73415i 0.454600 + 0.890696i \(0.349782\pi\)
−0.537208 + 0.843450i \(0.680521\pi\)
\(734\) 45.2826 + 52.2589i 1.67141 + 1.92891i
\(735\) 7.66427 7.61837i 0.282701 0.281008i
\(736\) −34.1473 + 16.7313i −1.25869 + 0.616724i
\(737\) −8.47806 14.6844i −0.312294 0.540908i
\(738\) −2.58469 + 0.498159i −0.0951438 + 0.0183375i
\(739\) −11.5710 + 5.96529i −0.425648 + 0.219437i −0.657721 0.753262i \(-0.728479\pi\)
0.232073 + 0.972698i \(0.425449\pi\)
\(740\) −15.5302 + 6.21736i −0.570902 + 0.228555i
\(741\) 15.5932 34.1443i 0.572829 1.25432i
\(742\) −31.8612 + 18.8395i −1.16966 + 0.691620i
\(743\) −15.8206 4.64536i −0.580403 0.170422i −0.0216640 0.999765i \(-0.506896\pi\)
−0.558739 + 0.829344i \(0.688715\pi\)
\(744\) 5.23566 + 2.69917i 0.191949 + 0.0989564i
\(745\) 11.7157 + 1.11872i 0.429231 + 0.0409866i
\(746\) −12.8610 + 53.0139i −0.470876 + 1.94098i
\(747\) −5.74201 1.10668i −0.210089 0.0404914i
\(748\) 15.3837 17.7537i 0.562482 0.649139i
\(749\) 7.31873 18.8470i 0.267421 0.688653i
\(750\) 10.3852 + 22.7405i 0.379215 + 0.830366i
\(751\) 14.9107 + 7.68699i 0.544098 + 0.280502i 0.708284 0.705927i \(-0.249469\pi\)
−0.164186 + 0.986429i \(0.552500\pi\)
\(752\) 4.58307 4.36995i 0.167128 0.159356i
\(753\) −26.1081 10.4521i −0.951432 0.380896i
\(754\) −26.7989 + 2.55898i −0.975958 + 0.0931927i
\(755\) 1.76772 12.2948i 0.0643341 0.447453i
\(756\) 5.08434 + 4.31387i 0.184916 + 0.156894i
\(757\) 8.18478 + 9.44574i 0.297481 + 0.343311i 0.884738 0.466089i \(-0.154338\pi\)
−0.587257 + 0.809401i \(0.699792\pi\)
\(758\) −30.9398 53.5894i −1.12379 1.94645i
\(759\) 23.6447 + 5.05956i 0.858248 + 0.183650i
\(760\) −5.49524 + 9.51804i −0.199333 + 0.345256i
\(761\) 8.52300 24.6256i 0.308959 0.892677i −0.678472 0.734626i \(-0.737358\pi\)
0.987431 0.158051i \(-0.0505211\pi\)
\(762\) −26.5101 17.0370i −0.960360 0.617186i
\(763\) −8.42734 + 29.8455i −0.305090 + 1.08048i
\(764\) −6.98663 + 15.2986i −0.252768 + 0.553484i
\(765\) 2.24348 1.76429i 0.0811132 0.0637882i
\(766\) 26.7060 25.4641i 0.964926 0.920055i
\(767\) −0.0855306 1.79551i −0.00308833 0.0648320i
\(768\) 2.77508 3.89705i 0.100137 0.140623i
\(769\) −3.02374 + 0.887850i −0.109039 + 0.0320167i −0.335797 0.941934i \(-0.609006\pi\)
0.226758 + 0.973951i \(0.427187\pi\)
\(770\) −8.73260 42.9035i −0.314701 1.54613i
\(771\) 3.72044 4.29361i 0.133988 0.154631i
\(772\) −26.2805 25.0584i −0.945856 0.901872i
\(773\) −21.3892 2.04242i −0.769315 0.0734607i −0.296985 0.954882i \(-0.595981\pi\)
−0.472330 + 0.881422i \(0.656587\pi\)
\(774\) −0.555180 11.6547i −0.0199555 0.418918i
\(775\) 3.28566 + 13.5437i 0.118024 + 0.486503i
\(776\) 0.931698 + 6.48010i 0.0334460 + 0.232622i
\(777\) −11.3680 0.423102i −0.407823 0.0151787i
\(778\) 5.30691 36.9103i 0.190262 1.32330i
\(779\) 0.379200 7.96038i 0.0135862 0.285210i
\(780\) 22.2781 4.29376i 0.797685 0.153741i
\(781\) −38.3205 + 66.3730i −1.37121 + 2.37501i
\(782\) 3.06286 18.6002i 0.109528 0.665140i
\(783\) −2.17137 −0.0775983
\(784\) 8.17365 + 16.9556i 0.291916 + 0.605556i
\(785\) −1.03831 0.667282i −0.0370589 0.0238163i
\(786\) 12.4107 4.96850i 0.442675 0.177220i
\(787\) −24.6321 34.5910i −0.878041 1.23304i −0.971411 0.237405i \(-0.923703\pi\)
0.0933698 0.995631i \(-0.470236\pi\)
\(788\) −26.6798 10.6810i −0.950430 0.380495i
\(789\) 2.19860 + 9.06277i 0.0782724 + 0.322643i
\(790\) 36.1630 23.2406i 1.28662 0.826862i
\(791\) 37.7630 40.4383i 1.34270 1.43782i
\(792\) 5.35041 1.57102i 0.190118 0.0558238i
\(793\) −6.46123 1.24530i −0.229445 0.0442219i
\(794\) 22.2114 + 64.1757i 0.788254 + 2.27751i
\(795\) −2.39496 + 9.87215i −0.0849404 + 0.350129i
\(796\) 12.0512 16.9236i 0.427144 0.599840i
\(797\) 12.1051 7.77947i 0.428784 0.275563i −0.308397 0.951258i \(-0.599793\pi\)
0.737181 + 0.675695i \(0.236156\pi\)
\(798\) −29.2742 + 21.3082i −1.03629 + 0.754304i
\(799\) 0.619618 + 4.30954i 0.0219205 + 0.152461i
\(800\) −20.6540 + 1.97221i −0.730228 + 0.0697283i
\(801\) 11.4274 + 8.98662i 0.403768 + 0.317526i
\(802\) −42.2759 + 21.7947i −1.49281 + 0.769599i
\(803\) −20.1672 + 58.2693i −0.711686 + 2.05628i
\(804\) −8.47561 −0.298912
\(805\) −13.3751 14.3114i −0.471409 0.504410i
\(806\) 66.0315 2.32586
\(807\) 6.90827 19.9601i 0.243183 0.702630i
\(808\) 9.81797 5.06152i 0.345395 0.178064i
\(809\) −39.7563 31.2647i −1.39776 1.09921i −0.981820 0.189815i \(-0.939211\pi\)
−0.415937 0.909393i \(-0.636546\pi\)
\(810\) 3.26735 0.311994i 0.114803 0.0109623i
\(811\) −6.93720 48.2493i −0.243598 1.69426i −0.633772 0.773520i \(-0.718494\pi\)
0.390174 0.920741i \(-0.372415\pi\)
\(812\) 13.2318 + 5.87724i 0.464344 + 0.206251i
\(813\) −9.60913 + 6.17541i −0.337007 + 0.216581i
\(814\) −26.7347 + 37.5436i −0.937051 + 1.31590i
\(815\) 7.66223 31.5842i 0.268396 1.10634i
\(816\) 1.62595 + 4.69789i 0.0569198 + 0.164459i
\(817\) 34.6872 + 6.68541i 1.21355 + 0.233893i
\(818\) −17.2813 + 5.07424i −0.604226 + 0.177417i
\(819\) 15.0306 + 3.48131i 0.525213 + 0.121647i
\(820\) 4.05228 2.60424i 0.141512 0.0909442i
\(821\) −12.2695 50.5754i −0.428207 1.76509i −0.620956 0.783845i \(-0.713256\pi\)
0.192749 0.981248i \(-0.438260\pi\)
\(822\) 17.0536 + 6.82722i 0.594811 + 0.238126i
\(823\) 6.36432 + 8.93744i 0.221846 + 0.311540i 0.910467 0.413583i \(-0.135723\pi\)
−0.688620 + 0.725122i \(0.741783\pi\)
\(824\) 18.5720 7.43512i 0.646987 0.259015i
\(825\) 11.0988 + 7.13277i 0.386411 + 0.248331i
\(826\) −0.778465 + 1.54936i −0.0270863 + 0.0539091i
\(827\) 28.5910 0.994206 0.497103 0.867692i \(-0.334397\pi\)
0.497103 + 0.867692i \(0.334397\pi\)
\(828\) 8.09968 8.97096i 0.281483 0.311762i
\(829\) −8.88029 + 15.3811i −0.308425 + 0.534208i −0.978018 0.208520i \(-0.933135\pi\)
0.669593 + 0.742728i \(0.266469\pi\)
\(830\) 18.8465 3.63236i 0.654171 0.126081i
\(831\) 0.734054 15.4097i 0.0254641 0.534556i
\(832\) −9.52695 + 66.2614i −0.330288 + 2.29720i
\(833\) −12.7557 2.18439i −0.441959 0.0756848i
\(834\) −4.06238 28.2545i −0.140669 0.978374i
\(835\) −5.35225 22.0623i −0.185222 0.763497i
\(836\) 3.89176 + 81.6980i 0.134599 + 2.82559i
\(837\) 5.30183 + 0.506263i 0.183258 + 0.0174990i
\(838\) −12.4299 11.8519i −0.429385 0.409417i
\(839\) 29.4938 34.0376i 1.01824 1.17511i 0.0337904 0.999429i \(-0.489242\pi\)
0.984447 0.175680i \(-0.0562124\pi\)
\(840\) −4.28409 1.43303i −0.147815 0.0494443i
\(841\) 23.3014 6.84192i 0.803498 0.235928i
\(842\) 0.103490 0.145332i 0.00356651 0.00500847i
\(843\) 0.868934 + 18.2412i 0.0299277 + 0.628259i
\(844\) 15.3446 14.6310i 0.528182 0.503621i
\(845\) 25.4903 20.0458i 0.876894 0.689597i
\(846\) −2.07995 + 4.55445i −0.0715100 + 0.156585i
\(847\) −26.6142 27.3373i −0.914476 0.939321i
\(848\) −14.8853 9.56618i −0.511162 0.328504i
\(849\) 2.21218 6.39167i 0.0759217 0.219361i
\(850\) 5.14269 8.90739i 0.176393 0.305521i
\(851\) −1.40119 + 20.5728i −0.0480323 + 0.705226i
\(852\) 19.1547 + 33.1769i 0.656229 + 1.13662i
\(853\) −11.6868 13.4873i −0.400148 0.461796i 0.519539 0.854447i \(-0.326104\pi\)
−0.919688 + 0.392651i \(0.871558\pi\)
\(854\) 4.83991 + 4.10648i 0.165618 + 0.140521i
\(855\) −1.41421 + 9.83605i −0.0483650 + 0.336386i
\(856\) −8.41344 + 0.803386i −0.287565 + 0.0274592i
\(857\) −5.68970 2.27781i −0.194356 0.0778086i 0.272442 0.962172i \(-0.412169\pi\)
−0.466799 + 0.884364i \(0.654593\pi\)
\(858\) 45.2403 43.1365i 1.54448 1.47266i
\(859\) 11.4898 + 5.92338i 0.392026 + 0.202103i 0.642958 0.765901i \(-0.277707\pi\)
−0.250933 + 0.968005i \(0.580737\pi\)
\(860\) 8.86989 + 19.4223i 0.302461 + 0.662296i
\(861\) 3.23730 0.499864i 0.110327 0.0170353i
\(862\) 2.46686 2.84691i 0.0840217 0.0969662i
\(863\) 8.70462 + 1.67768i 0.296309 + 0.0571088i 0.335239 0.942133i \(-0.391183\pi\)
−0.0389304 + 0.999242i \(0.512395\pi\)
\(864\) −1.86932 + 7.70546i −0.0635957 + 0.262145i
\(865\) 11.7703 + 1.12393i 0.400202 + 0.0382146i
\(866\) −40.4782 20.8679i −1.37550 0.709122i
\(867\) 13.0319 + 3.82650i 0.442586 + 0.129955i
\(868\) −30.9377 17.4355i −1.05009 0.591800i
\(869\) 27.4312 60.0660i 0.930541 2.03760i
\(870\) 6.61637 2.64879i 0.224316 0.0898025i
\(871\) −17.4314 + 8.98651i −0.590640 + 0.304496i
\(872\) 12.7298 2.45346i 0.431084 0.0830847i
\(873\) 2.95966 + 5.12628i 0.100169 + 0.173498i
\(874\) 36.9719 + 54.2283i 1.25059 + 1.83430i
\(875\) −11.8622 28.7600i −0.401016 0.972267i
\(876\) 20.1837 + 23.2932i 0.681945 + 0.787006i
\(877\) 1.87869 39.4386i 0.0634389 1.33175i −0.712827 0.701340i \(-0.752586\pi\)
0.776266 0.630406i \(-0.217111\pi\)
\(878\) 25.9392 + 20.3988i 0.875407 + 0.688428i
\(879\) 4.10884 + 5.77006i 0.138588 + 0.194619i
\(880\) 16.4520 12.9380i 0.554596 0.436139i
\(881\) −9.93991 2.91862i −0.334884 0.0983308i 0.109967 0.993935i \(-0.464925\pi\)
−0.444851 + 0.895604i \(0.646744\pi\)
\(882\) −10.9822 10.0439i −0.369791 0.338197i
\(883\) −15.4797 33.8957i −0.520932 1.14068i −0.969085 0.246725i \(-0.920645\pi\)
0.448153 0.893957i \(-0.352082\pi\)
\(884\) −19.6641 18.7497i −0.661375 0.630619i
\(885\) 0.155643 + 0.449700i 0.00523188 + 0.0151165i
\(886\) −3.54297 10.2367i −0.119028 0.343910i
\(887\) 26.7795 + 25.5342i 0.899167 + 0.857354i 0.990365 0.138479i \(-0.0442213\pi\)
−0.0911986 + 0.995833i \(0.529070\pi\)
\(888\) 1.97547 + 4.32567i 0.0662923 + 0.145160i
\(889\) 32.1786 + 22.4137i 1.07923 + 0.751730i
\(890\) −45.7830 13.4431i −1.53465 0.450614i
\(891\) 3.96318 3.11668i 0.132771 0.104413i
\(892\) −41.4218 58.1688i −1.38691 1.94764i
\(893\) −11.9157 9.37060i −0.398743 0.313575i
\(894\) 0.771212 16.1897i 0.0257932 0.541465i
\(895\) 16.7458 + 19.3257i 0.559750 + 0.645986i
\(896\) 13.7957 17.9231i 0.460881 0.598768i
\(897\) 7.14651 27.0381i 0.238615 0.902775i
\(898\) 4.37373 + 7.57552i 0.145953 + 0.252798i
\(899\) 11.3556 2.18861i 0.378730 0.0729943i
\(900\) 5.86158 3.02186i 0.195386 0.100729i
\(901\) 11.2939 4.52142i 0.376256 0.150630i
\(902\) 5.51319 12.0722i 0.183569 0.401960i
\(903\) 0.150978 + 14.5191i 0.00502423 + 0.483164i
\(904\) −22.1921 6.51620i −0.738099 0.216726i
\(905\) −10.1030 5.20844i −0.335834 0.173135i
\(906\) −17.0288 1.62606i −0.565745 0.0540221i
\(907\) 9.64069 39.7395i 0.320114 1.31953i −0.553476 0.832865i \(-0.686699\pi\)
0.873590 0.486662i \(-0.161786\pi\)
\(908\) −17.8234 3.43517i −0.591489 0.114000i
\(909\) 6.54027 7.54788i 0.216927 0.250347i
\(910\) −50.0466 + 7.72758i −1.65903 + 0.256167i
\(911\) 21.5927 + 47.2814i 0.715397 + 1.56650i 0.820245 + 0.572013i \(0.193837\pi\)
−0.104848 + 0.994488i \(0.533435\pi\)
\(912\) −15.3846 7.93129i −0.509434 0.262631i
\(913\) 21.3380 20.3458i 0.706186 0.673347i
\(914\) −46.0257 18.4259i −1.52239 0.609475i
\(915\) 1.73411 0.165587i 0.0573278 0.00547414i
\(916\) −3.44667 + 23.9721i −0.113881 + 0.792061i
\(917\) −15.6635 + 5.60424i −0.517255 + 0.185068i
\(918\) −2.57402 2.97057i −0.0849552 0.0980435i
\(919\) −29.5468 51.1765i −0.974658 1.68816i −0.681060 0.732228i \(-0.738481\pi\)
−0.293598 0.955929i \(-0.594853\pi\)
\(920\) −2.83552 + 7.68189i −0.0934843 + 0.253264i
\(921\) −4.15283 + 7.19291i −0.136840 + 0.237014i
\(922\) 23.1251 66.8157i 0.761586 2.20046i
\(923\) 74.5713 + 47.9241i 2.45454 + 1.57744i
\(924\) −32.5865 + 8.26511i −1.07202 + 0.271902i
\(925\) −4.67384 + 10.2343i −0.153675 + 0.336501i
\(926\) −33.1714 + 26.0862i −1.09008 + 0.857247i
\(927\) 13.0908 12.4820i 0.429957 0.409963i
\(928\) 0.819203 + 17.1972i 0.0268917 + 0.564525i
\(929\) 8.49938 11.9357i 0.278856 0.391598i −0.651266 0.758850i \(-0.725762\pi\)
0.930122 + 0.367251i \(0.119701\pi\)
\(930\) −16.7728 + 4.92493i −0.550001 + 0.161495i
\(931\) 37.3907 25.1433i 1.22543 0.824039i
\(932\) −33.9032 + 39.1263i −1.11054 + 1.28163i
\(933\) 19.7365 + 18.8188i 0.646145 + 0.616098i
\(934\) 56.2742 + 5.37353i 1.84135 + 0.175827i
\(935\) 0.684706 + 14.3737i 0.0223923 + 0.470072i
\(936\) −1.52054 6.26774i −0.0497003 0.204867i
\(937\) −3.89897 27.1180i −0.127374 0.885905i −0.948865 0.315683i \(-0.897766\pi\)
0.821491 0.570222i \(-0.193143\pi\)
\(938\) 18.9044 + 0.703599i 0.617250 + 0.0229733i
\(939\) 1.16947 8.13388i 0.0381644 0.265439i
\(940\) 0.435969 9.15212i 0.0142197 0.298509i
\(941\) −21.6973 + 4.18181i −0.707312 + 0.136323i −0.530206 0.847869i \(-0.677886\pi\)
−0.177106 + 0.984192i \(0.556673\pi\)
\(942\) −0.849889 + 1.47205i −0.0276909 + 0.0479620i
\(943\) −0.724927 5.89322i −0.0236069 0.191910i
\(944\) −0.828879 −0.0269777
\(945\) −4.07761 + 0.236759i −0.132645 + 0.00770177i
\(946\) 49.4892 + 31.8048i 1.60903 + 1.03406i
\(947\) 14.4733 5.79423i 0.470319 0.188287i −0.124382 0.992234i \(-0.539695\pi\)
0.594701 + 0.803947i \(0.297271\pi\)
\(948\) −19.1460 26.8868i −0.621833 0.873242i
\(949\) 66.2082 + 26.5058i 2.14921 + 0.860414i
\(950\) 8.44270 + 34.8013i 0.273917 + 1.12910i
\(951\) 7.36209 4.73133i 0.238732 0.153424i
\(952\) 1.57802 + 5.17459i 0.0511440 + 0.167709i
\(953\) 5.72922 1.68225i 0.185588 0.0544935i −0.187618 0.982242i \(-0.560077\pi\)
0.373206 + 0.927749i \(0.378259\pi\)
\(954\) 13.7373 + 2.64765i 0.444762 + 0.0857208i
\(955\) −3.36958 9.73575i −0.109037 0.315042i
\(956\) −4.57232 + 18.8474i −0.147879 + 0.609568i
\(957\) 6.35032 8.91777i 0.205277 0.288271i
\(958\) 11.6127 7.46301i 0.375188 0.241119i
\(959\) −20.8913 9.27941i −0.674614 0.299648i
\(960\) −2.52212 17.5417i −0.0814011 0.566157i
\(961\) 2.62238 0.250407i 0.0845929 0.00807764i
\(962\) 41.9025 + 32.9525i 1.35099 + 1.06243i
\(963\) −6.79223 + 3.50164i −0.218877 + 0.112839i
\(964\) 2.73637 7.90622i 0.0881325 0.254642i
\(965\) 22.2437 0.716049
\(966\) −18.8106 + 19.3368i −0.605222 + 0.622153i
\(967\) −31.0456 −0.998360 −0.499180 0.866498i \(-0.666365\pi\)
−0.499180 + 0.866498i \(0.666365\pi\)
\(968\) −5.21639 + 15.0718i −0.167661 + 0.484425i
\(969\) 10.5775 5.45306i 0.339797 0.175177i
\(970\) −15.2718 12.0099i −0.490347 0.385613i
\(971\) −10.2793 + 0.981553i −0.329878 + 0.0314996i −0.258681 0.965963i \(-0.583288\pi\)
−0.0711969 + 0.997462i \(0.522682\pi\)
\(972\) −0.358663 2.49455i −0.0115041 0.0800128i
\(973\) 3.74411 + 35.3244i 0.120031 + 1.13245i
\(974\) 3.26413 2.09773i 0.104589 0.0672155i
\(975\) 8.85123 12.4298i 0.283466 0.398073i
\(976\) −0.715344 + 2.94869i −0.0228976 + 0.0943852i
\(977\) −4.19893 12.1320i −0.134336 0.388137i 0.857691 0.514165i \(-0.171898\pi\)
−0.992027 + 0.126028i \(0.959777\pi\)
\(978\) −43.9500 8.47067i −1.40537 0.270862i
\(979\) −70.3282 + 20.6502i −2.24770 + 0.659984i
\(980\) 25.4888 + 9.59412i 0.814209 + 0.306473i
\(981\) 9.86085 6.33718i 0.314833 0.202331i
\(982\) −6.73260 27.7521i −0.214846 0.885606i
\(983\) 31.6682 + 12.6780i 1.01006 + 0.404366i 0.816887 0.576798i \(-0.195698\pi\)
0.193172 + 0.981165i \(0.438122\pi\)
\(984\) −0.794280 1.11541i −0.0253207 0.0355580i
\(985\) 16.3431 6.54279i 0.520735 0.208471i
\(986\) −7.17996 4.61428i −0.228657 0.146949i
\(987\) 2.79735 5.56749i 0.0890407 0.177215i
\(988\) 94.5993 3.00960
\(989\) 26.3140 + 0.536992i 0.836735 + 0.0170753i
\(990\) −8.27424 + 14.3314i −0.262973 + 0.455482i
\(991\) −29.9908 + 5.78026i −0.952690 + 0.183616i −0.641836 0.766842i \(-0.721827\pi\)
−0.310854 + 0.950458i \(0.600615\pi\)
\(992\) 2.00935 42.1814i 0.0637969 1.33926i
\(993\) 2.66659 18.5465i 0.0846217 0.588557i
\(994\) −39.9693 75.5894i −1.26775 2.39755i
\(995\) 1.81118 + 12.5970i 0.0574183 + 0.399353i
\(996\) −3.47447 14.3219i −0.110093 0.453808i
\(997\) 0.905511 + 19.0090i 0.0286778 + 0.602021i 0.966772 + 0.255641i \(0.0822864\pi\)
−0.938094 + 0.346381i \(0.887411\pi\)
\(998\) 65.9349 + 6.29602i 2.08713 + 0.199297i
\(999\) 3.11181 + 2.96710i 0.0984533 + 0.0938750i
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 483.2.y.b.151.3 yes 320
7.2 even 3 inner 483.2.y.b.289.14 yes 320
23.16 even 11 inner 483.2.y.b.361.14 yes 320
161.16 even 33 inner 483.2.y.b.16.3 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.y.b.16.3 320 161.16 even 33 inner
483.2.y.b.151.3 yes 320 1.1 even 1 trivial
483.2.y.b.289.14 yes 320 7.2 even 3 inner
483.2.y.b.361.14 yes 320 23.16 even 11 inner