Properties

Label 384.2.v.a.13.12
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.12
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.607361 + 1.27715i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.26223 - 1.55138i) q^{4} +(0.269039 + 2.73160i) q^{5} +(1.39846 + 0.210471i) q^{6} +(0.857384 - 1.28317i) q^{7} +(2.74797 - 0.669804i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(-0.607361 + 1.27715i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-1.26223 - 1.55138i) q^{4} +(0.269039 + 2.73160i) q^{5} +(1.39846 + 0.210471i) q^{6} +(0.857384 - 1.28317i) q^{7} +(2.74797 - 0.669804i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-3.65206 - 1.31546i) q^{10} +(-5.50570 + 2.94286i) q^{11} +(-1.11818 + 1.65822i) q^{12} +(5.53992 + 0.545635i) q^{13} +(1.11805 + 1.87435i) q^{14} +(2.53588 - 1.05039i) q^{15} +(-0.813572 + 3.91639i) q^{16} +(3.96432 + 1.64207i) q^{17} +(-0.204545 - 1.39934i) q^{18} +(-2.47517 + 2.03132i) q^{19} +(3.89816 - 3.86527i) q^{20} +(-1.47680 - 0.447982i) q^{21} +(-0.414526 - 8.81898i) q^{22} +(-1.24331 + 6.25056i) q^{23} +(-1.43866 - 2.43521i) q^{24} +(-2.48531 + 0.494359i) q^{25} +(-4.06159 + 6.74392i) q^{26} +(0.773010 + 0.634393i) q^{27} +(-3.07289 + 0.289515i) q^{28} +(-1.87108 + 3.50055i) q^{29} +(-0.198680 + 3.87666i) q^{30} +(-1.60293 + 1.60293i) q^{31} +(-4.50769 - 3.41771i) q^{32} +(4.41436 + 4.41436i) q^{33} +(-4.50495 + 4.06570i) q^{34} +(3.73576 + 1.99680i) q^{35} +(1.91140 + 0.588672i) q^{36} +(-3.90148 + 4.75396i) q^{37} +(-1.09098 - 4.39491i) q^{38} +(-1.08601 - 5.45977i) q^{39} +(2.56894 + 7.32615i) q^{40} +(1.19260 + 0.237222i) q^{41} +(1.46909 - 1.61401i) q^{42} +(-1.18922 + 3.92032i) q^{43} +(11.5149 + 4.82689i) q^{44} +(-1.74129 - 2.12177i) q^{45} +(-7.22776 - 5.38424i) q^{46} +(4.43305 - 10.7023i) q^{47} +(3.98392 - 0.358328i) q^{48} +(1.76738 + 4.26683i) q^{49} +(0.878109 - 3.47437i) q^{50} +(0.420586 - 4.27029i) q^{51} +(-6.14615 - 9.28325i) q^{52} +(-3.21836 - 6.02112i) q^{53} +(-1.27971 + 0.601945i) q^{54} +(-9.51994 - 14.2476i) q^{55} +(1.49660 - 4.10038i) q^{56} +(2.66236 + 1.77893i) q^{57} +(-3.33430 - 4.51575i) q^{58} +(12.4050 - 1.22179i) q^{59} +(-4.83041 - 2.60828i) q^{60} +(0.672244 - 0.203923i) q^{61} +(-1.07363 - 3.02074i) q^{62} +1.54325i q^{63} +(7.10273 - 3.68121i) q^{64} +15.2796i q^{65} +(-8.31891 + 2.95669i) q^{66} +(5.38202 - 1.63262i) q^{67} +(-2.45638 - 8.22284i) q^{68} +(6.34233 - 0.624665i) q^{69} +(-4.81917 + 3.55834i) q^{70} +(-4.06093 - 2.71343i) q^{71} +(-1.91273 + 2.08361i) q^{72} +(-3.68754 - 5.51879i) q^{73} +(-3.70192 - 7.87014i) q^{74} +(1.19452 + 2.23479i) q^{75} +(6.27559 + 1.27595i) q^{76} +(-0.944324 + 9.58788i) q^{77} +(7.63254 + 1.92904i) q^{78} +(-1.22482 - 2.95698i) q^{79} +(-10.9169 - 1.16869i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-1.02731 + 1.37905i) q^{82} +(7.62729 + 9.29388i) q^{83} +(1.16906 + 2.85653i) q^{84} +(-3.41893 + 11.2707i) q^{85} +(-4.28456 - 3.89986i) q^{86} +(3.89296 + 0.774358i) q^{87} +(-13.1584 + 11.7746i) q^{88} +(-1.91480 - 9.62637i) q^{89} +(3.76741 - 0.935211i) q^{90} +(5.44998 - 6.64082i) q^{91} +(11.2663 - 5.96076i) q^{92} +(1.99921 + 1.06860i) q^{93} +(10.9760 + 12.1619i) q^{94} +(-6.21467 - 6.21467i) q^{95} +(-1.96204 + 5.30570i) q^{96} +(9.90497 - 9.90497i) q^{97} +(-6.52282 - 0.334296i) q^{98} +(2.94286 - 5.50570i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.607361 + 1.27715i −0.429469 + 0.903082i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) −1.26223 1.55138i −0.631113 0.775691i
\(5\) 0.269039 + 2.73160i 0.120318 + 1.22161i 0.845851 + 0.533420i \(0.179093\pi\)
−0.725533 + 0.688187i \(0.758407\pi\)
\(6\) 1.39846 + 0.210471i 0.570921 + 0.0859244i
\(7\) 0.857384 1.28317i 0.324061 0.484991i −0.633292 0.773913i \(-0.718297\pi\)
0.957353 + 0.288922i \(0.0932968\pi\)
\(8\) 2.74797 0.669804i 0.971556 0.236811i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −3.65206 1.31546i −1.15488 0.415985i
\(11\) −5.50570 + 2.94286i −1.66003 + 0.887305i −0.670681 + 0.741746i \(0.733998\pi\)
−0.989350 + 0.145559i \(0.953502\pi\)
\(12\) −1.11818 + 1.65822i −0.322789 + 0.478686i
\(13\) 5.53992 + 0.545635i 1.53650 + 0.151332i 0.830555 0.556937i \(-0.188023\pi\)
0.705943 + 0.708268i \(0.250523\pi\)
\(14\) 1.11805 + 1.87435i 0.298812 + 0.500942i
\(15\) 2.53588 1.05039i 0.654761 0.271211i
\(16\) −0.813572 + 3.91639i −0.203393 + 0.979097i
\(17\) 3.96432 + 1.64207i 0.961489 + 0.398262i 0.807537 0.589817i \(-0.200800\pi\)
0.153952 + 0.988078i \(0.450800\pi\)
\(18\) −0.204545 1.39934i −0.0482116 0.329828i
\(19\) −2.47517 + 2.03132i −0.567844 + 0.466017i −0.873974 0.485972i \(-0.838466\pi\)
0.306130 + 0.951990i \(0.400966\pi\)
\(20\) 3.89816 3.86527i 0.871655 0.864301i
\(21\) −1.47680 0.447982i −0.322264 0.0977576i
\(22\) −0.414526 8.81898i −0.0883772 1.88021i
\(23\) −1.24331 + 6.25056i −0.259249 + 1.30333i 0.603364 + 0.797466i \(0.293827\pi\)
−0.862612 + 0.505865i \(0.831173\pi\)
\(24\) −1.43866 2.43521i −0.293665 0.497086i
\(25\) −2.48531 + 0.494359i −0.497062 + 0.0988718i
\(26\) −4.06159 + 6.74392i −0.796543 + 1.32259i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) −3.07289 + 0.289515i −0.580722 + 0.0547132i
\(29\) −1.87108 + 3.50055i −0.347451 + 0.650035i −0.993572 0.113200i \(-0.963890\pi\)
0.646121 + 0.763235i \(0.276390\pi\)
\(30\) −0.198680 + 3.87666i −0.0362739 + 0.707779i
\(31\) −1.60293 + 1.60293i −0.287895 + 0.287895i −0.836247 0.548353i \(-0.815255\pi\)
0.548353 + 0.836247i \(0.315255\pi\)
\(32\) −4.50769 3.41771i −0.796854 0.604172i
\(33\) 4.41436 + 4.41436i 0.768441 + 0.768441i
\(34\) −4.50495 + 4.06570i −0.772592 + 0.697262i
\(35\) 3.73576 + 1.99680i 0.631458 + 0.337522i
\(36\) 1.91140 + 0.588672i 0.318567 + 0.0981120i
\(37\) −3.90148 + 4.75396i −0.641399 + 0.781547i −0.987664 0.156590i \(-0.949950\pi\)
0.346265 + 0.938137i \(0.387450\pi\)
\(38\) −1.09098 4.39491i −0.176980 0.712949i
\(39\) −1.08601 5.45977i −0.173902 0.874262i
\(40\) 2.56894 + 7.32615i 0.406186 + 1.15837i
\(41\) 1.19260 + 0.237222i 0.186252 + 0.0370479i 0.287335 0.957830i \(-0.407231\pi\)
−0.101083 + 0.994878i \(0.532231\pi\)
\(42\) 1.46909 1.61401i 0.226685 0.249047i
\(43\) −1.18922 + 3.92032i −0.181354 + 0.597844i 0.818378 + 0.574681i \(0.194874\pi\)
−0.999732 + 0.0231631i \(0.992626\pi\)
\(44\) 11.5149 + 4.82689i 1.73594 + 0.727681i
\(45\) −1.74129 2.12177i −0.259576 0.316295i
\(46\) −7.22776 5.38424i −1.06568 0.793863i
\(47\) 4.43305 10.7023i 0.646627 1.56110i −0.170951 0.985279i \(-0.554684\pi\)
0.817579 0.575817i \(-0.195316\pi\)
\(48\) 3.98392 0.358328i 0.575029 0.0517202i
\(49\) 1.76738 + 4.26683i 0.252483 + 0.609547i
\(50\) 0.878109 3.47437i 0.124183 0.491350i
\(51\) 0.420586 4.27029i 0.0588939 0.597960i
\(52\) −6.14615 9.28325i −0.852317 1.28736i
\(53\) −3.21836 6.02112i −0.442075 0.827065i 0.557921 0.829894i \(-0.311599\pi\)
−0.999996 + 0.00282966i \(0.999099\pi\)
\(54\) −1.27971 + 0.601945i −0.174147 + 0.0819143i
\(55\) −9.51994 14.2476i −1.28367 1.92115i
\(56\) 1.49660 4.10038i 0.199992 0.547937i
\(57\) 2.66236 + 1.77893i 0.352638 + 0.235625i
\(58\) −3.33430 4.51575i −0.437816 0.592947i
\(59\) 12.4050 1.22179i 1.61500 0.159063i 0.750209 0.661201i \(-0.229953\pi\)
0.864788 + 0.502137i \(0.167453\pi\)
\(60\) −4.83041 2.60828i −0.623604 0.336727i
\(61\) 0.672244 0.203923i 0.0860720 0.0261097i −0.246955 0.969027i \(-0.579430\pi\)
0.333027 + 0.942917i \(0.391930\pi\)
\(62\) −1.07363 3.02074i −0.136351 0.383634i
\(63\) 1.54325i 0.194431i
\(64\) 7.10273 3.68121i 0.887841 0.460151i
\(65\) 15.2796i 1.89520i
\(66\) −8.31891 + 2.95669i −1.02399 + 0.363944i
\(67\) 5.38202 1.63262i 0.657519 0.199456i 0.0561434 0.998423i \(-0.482120\pi\)
0.601375 + 0.798967i \(0.294620\pi\)
\(68\) −2.45638 8.22284i −0.297880 0.997166i
\(69\) 6.34233 0.624665i 0.763526 0.0752008i
\(70\) −4.81917 + 3.55834i −0.576001 + 0.425304i
\(71\) −4.06093 2.71343i −0.481944 0.322025i 0.290755 0.956798i \(-0.406094\pi\)
−0.772699 + 0.634773i \(0.781094\pi\)
\(72\) −1.91273 + 2.08361i −0.225418 + 0.245556i
\(73\) −3.68754 5.51879i −0.431593 0.645925i 0.550387 0.834910i \(-0.314480\pi\)
−0.981980 + 0.188985i \(0.939480\pi\)
\(74\) −3.70192 7.87014i −0.430340 0.914885i
\(75\) 1.19452 + 2.23479i 0.137931 + 0.258051i
\(76\) 6.27559 + 1.27595i 0.719859 + 0.146362i
\(77\) −0.944324 + 9.58788i −0.107616 + 1.09264i
\(78\) 7.63254 + 1.92904i 0.864215 + 0.218421i
\(79\) −1.22482 2.95698i −0.137803 0.332687i 0.839880 0.542773i \(-0.182626\pi\)
−0.977683 + 0.210086i \(0.932626\pi\)
\(80\) −10.9169 1.16869i −1.22054 0.130663i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −1.02731 + 1.37905i −0.113447 + 0.152290i
\(83\) 7.62729 + 9.29388i 0.837204 + 1.02014i 0.999443 + 0.0333841i \(0.0106285\pi\)
−0.162239 + 0.986751i \(0.551872\pi\)
\(84\) 1.16906 + 2.85653i 0.127555 + 0.311673i
\(85\) −3.41893 + 11.2707i −0.370835 + 1.22248i
\(86\) −4.28456 3.89986i −0.462016 0.420533i
\(87\) 3.89296 + 0.774358i 0.417369 + 0.0830199i
\(88\) −13.1584 + 11.7746i −1.40269 + 1.25518i
\(89\) −1.91480 9.62637i −0.202969 1.02039i −0.939123 0.343580i \(-0.888360\pi\)
0.736154 0.676814i \(-0.236640\pi\)
\(90\) 3.76741 0.935211i 0.397120 0.0985799i
\(91\) 5.44998 6.64082i 0.571313 0.696147i
\(92\) 11.2663 5.96076i 1.17460 0.621452i
\(93\) 1.99921 + 1.06860i 0.207309 + 0.110809i
\(94\) 10.9760 + 12.1619i 1.13209 + 1.25440i
\(95\) −6.21467 6.21467i −0.637612 0.637612i
\(96\) −1.96204 + 5.30570i −0.200250 + 0.541510i
\(97\) 9.90497 9.90497i 1.00570 1.00570i 0.00571375 0.999984i \(-0.498181\pi\)
0.999984 0.00571375i \(-0.00181875\pi\)
\(98\) −6.52282 0.334296i −0.658904 0.0337690i
\(99\) 2.94286 5.50570i 0.295768 0.553343i
\(100\) 3.90396 + 3.23167i 0.390396 + 0.323167i
\(101\) −9.24655 7.58845i −0.920066 0.755079i 0.0497894 0.998760i \(-0.484145\pi\)
−0.969855 + 0.243681i \(0.921645\pi\)
\(102\) 5.19835 + 3.13076i 0.514713 + 0.309991i
\(103\) 13.4671 2.67878i 1.32696 0.263948i 0.519801 0.854287i \(-0.326006\pi\)
0.807155 + 0.590339i \(0.201006\pi\)
\(104\) 15.5890 2.21127i 1.52863 0.216833i
\(105\) 0.826389 4.15454i 0.0806473 0.405442i
\(106\) 9.64458 0.453332i 0.936764 0.0440315i
\(107\) 4.55882 + 1.38290i 0.440718 + 0.133690i 0.502842 0.864378i \(-0.332288\pi\)
−0.0621245 + 0.998068i \(0.519788\pi\)
\(108\) 0.00847249 1.99998i 0.000815266 0.192448i
\(109\) 6.05675 4.97065i 0.580132 0.476102i −0.297970 0.954575i \(-0.596310\pi\)
0.878102 + 0.478473i \(0.158810\pi\)
\(110\) 23.9784 3.50496i 2.28625 0.334185i
\(111\) 5.68180 + 2.35348i 0.539292 + 0.223382i
\(112\) 4.32783 + 4.40179i 0.408942 + 0.415931i
\(113\) −8.46081 + 3.50458i −0.795926 + 0.329683i −0.743323 0.668932i \(-0.766752\pi\)
−0.0526024 + 0.998616i \(0.516752\pi\)
\(114\) −3.88898 + 2.31978i −0.364236 + 0.217267i
\(115\) −17.4085 1.71459i −1.62335 0.159886i
\(116\) 7.79241 1.51572i 0.723507 0.140731i
\(117\) −4.90942 + 2.62414i −0.453876 + 0.242602i
\(118\) −5.97392 + 16.5851i −0.549944 + 1.52679i
\(119\) 5.50600 3.67899i 0.504734 0.337252i
\(120\) 6.26497 4.58500i 0.571911 0.418551i
\(121\) 15.5410 23.2588i 1.41282 2.11444i
\(122\) −0.147854 + 0.982412i −0.0133861 + 0.0889434i
\(123\) −0.119185 1.21011i −0.0107466 0.109112i
\(124\) 4.51001 + 0.463497i 0.405011 + 0.0416232i
\(125\) 1.96485 + 6.47725i 0.175742 + 0.579343i
\(126\) −1.97096 0.937309i −0.175587 0.0835022i
\(127\) −11.9689 −1.06207 −0.531033 0.847351i \(-0.678196\pi\)
−0.531033 + 0.847351i \(0.678196\pi\)
\(128\) 0.387537 + 11.3071i 0.0342538 + 0.999413i
\(129\) 4.09673 0.360697
\(130\) −19.5144 9.28025i −1.71152 0.813932i
\(131\) 0.236543 + 0.779777i 0.0206668 + 0.0681294i 0.966667 0.256036i \(-0.0824166\pi\)
−0.946000 + 0.324165i \(0.894917\pi\)
\(132\) 1.27644 12.4203i 0.111100 1.08105i
\(133\) 0.484349 + 4.91768i 0.0419984 + 0.426417i
\(134\) −1.18373 + 7.86524i −0.102259 + 0.679453i
\(135\) −1.52494 + 2.28223i −0.131246 + 0.196423i
\(136\) 11.9937 + 1.85706i 1.02845 + 0.159242i
\(137\) −12.7032 + 8.48804i −1.08531 + 0.725182i −0.963591 0.267382i \(-0.913841\pi\)
−0.121721 + 0.992564i \(0.538841\pi\)
\(138\) −3.05429 + 8.47950i −0.259998 + 0.721823i
\(139\) −16.8642 + 9.01408i −1.43040 + 0.764565i −0.991017 0.133735i \(-0.957303\pi\)
−0.439383 + 0.898300i \(0.644803\pi\)
\(140\) −1.61756 8.31601i −0.136709 0.702831i
\(141\) −11.5283 1.13544i −0.970862 0.0956216i
\(142\) 5.93191 3.53839i 0.497795 0.296935i
\(143\) −32.1069 + 13.2991i −2.68491 + 1.11213i
\(144\) −1.49937 3.70835i −0.124947 0.309030i
\(145\) −10.0655 4.16926i −0.835892 0.346238i
\(146\) 9.28799 1.35764i 0.768679 0.112359i
\(147\) 3.57006 2.92987i 0.294453 0.241652i
\(148\) 12.2998 + 0.0521052i 1.01103 + 0.00428302i
\(149\) 13.2330 + 4.01419i 1.08409 + 0.328855i 0.781271 0.624192i \(-0.214572\pi\)
0.302820 + 0.953048i \(0.402072\pi\)
\(150\) −3.57966 + 0.168258i −0.292278 + 0.0137382i
\(151\) 0.115979 0.583066i 0.00943823 0.0474492i −0.975779 0.218758i \(-0.929800\pi\)
0.985217 + 0.171309i \(0.0547995\pi\)
\(152\) −5.44113 + 7.23990i −0.441334 + 0.587234i
\(153\) −4.20850 + 0.837123i −0.340237 + 0.0676773i
\(154\) −11.6716 7.02934i −0.940526 0.566441i
\(155\) −4.80981 3.94731i −0.386333 0.317055i
\(156\) −7.09939 + 8.57628i −0.568406 + 0.686652i
\(157\) 0.447846 0.837861i 0.0357420 0.0668686i −0.863416 0.504492i \(-0.831680\pi\)
0.899158 + 0.437624i \(0.144180\pi\)
\(158\) 4.52042 + 0.231673i 0.359626 + 0.0184309i
\(159\) −4.82761 + 4.82761i −0.382855 + 0.382855i
\(160\) 8.12307 13.2327i 0.642185 1.04613i
\(161\) 6.95450 + 6.95450i 0.548092 + 0.548092i
\(162\) 0.947506 + 1.04987i 0.0744431 + 0.0824858i
\(163\) 7.25991 + 3.88051i 0.568640 + 0.303945i 0.730548 0.682861i \(-0.239265\pi\)
−0.161908 + 0.986806i \(0.551765\pi\)
\(164\) −1.13731 2.14960i −0.0888086 0.167856i
\(165\) −10.8706 + 13.2459i −0.846276 + 1.03119i
\(166\) −16.5022 + 4.09646i −1.28082 + 0.317947i
\(167\) −1.72564 8.67536i −0.133534 0.671319i −0.988327 0.152350i \(-0.951316\pi\)
0.854793 0.518969i \(-0.173684\pi\)
\(168\) −4.35826 0.241878i −0.336247 0.0186613i
\(169\) 17.6428 + 3.50938i 1.35714 + 0.269952i
\(170\) −12.3179 11.2119i −0.944736 0.859911i
\(171\) 0.929489 3.06412i 0.0710798 0.234319i
\(172\) 7.58298 3.10340i 0.578197 0.236632i
\(173\) −8.65546 10.5467i −0.658063 0.801852i 0.331880 0.943322i \(-0.392317\pi\)
−0.989943 + 0.141470i \(0.954817\pi\)
\(174\) −3.35340 + 4.50158i −0.254221 + 0.341264i
\(175\) −1.49652 + 3.61292i −0.113126 + 0.273111i
\(176\) −7.04609 23.9567i −0.531119 1.80580i
\(177\) −4.77017 11.5162i −0.358548 0.865611i
\(178\) 13.4573 + 3.40119i 1.00867 + 0.254930i
\(179\) 0.332475 3.37568i 0.0248504 0.252310i −0.974731 0.223381i \(-0.928290\pi\)
0.999581 0.0289286i \(-0.00920955\pi\)
\(180\) −1.09377 + 5.37956i −0.0815249 + 0.400969i
\(181\) −0.00348186 0.00651409i −0.000258804 0.000484189i 0.881792 0.471639i \(-0.156337\pi\)
−0.882051 + 0.471155i \(0.843837\pi\)
\(182\) 5.17122 + 10.9938i 0.383316 + 0.814916i
\(183\) −0.390284 0.584102i −0.0288506 0.0431780i
\(184\) 0.770054 + 18.0092i 0.0567691 + 1.32765i
\(185\) −14.0356 9.37826i −1.03191 0.689503i
\(186\) −2.57901 + 1.90427i −0.189102 + 0.139628i
\(187\) −26.6587 + 2.62566i −1.94948 + 0.192007i
\(188\) −22.1989 + 6.63141i −1.61902 + 0.483645i
\(189\) 1.47680 0.447982i 0.107421 0.0325859i
\(190\) 11.7116 4.16252i 0.849650 0.301981i
\(191\) 21.9685i 1.58959i −0.606880 0.794794i \(-0.707579\pi\)
0.606880 0.794794i \(-0.292421\pi\)
\(192\) −5.58451 5.72829i −0.403027 0.413404i
\(193\) 13.9813i 1.00640i 0.864170 + 0.503199i \(0.167844\pi\)
−0.864170 + 0.503199i \(0.832156\pi\)
\(194\) 6.63425 + 18.6660i 0.476311 + 1.34014i
\(195\) 14.6217 4.43544i 1.04708 0.317629i
\(196\) 4.38865 8.12758i 0.313475 0.580541i
\(197\) −21.2024 + 2.08825i −1.51061 + 0.148782i −0.819126 0.573614i \(-0.805541\pi\)
−0.691480 + 0.722396i \(0.743041\pi\)
\(198\) 5.24423 + 7.10242i 0.372691 + 0.504747i
\(199\) 18.1744 + 12.1437i 1.28835 + 0.860846i 0.995449 0.0952974i \(-0.0303802\pi\)
0.292899 + 0.956144i \(0.405380\pi\)
\(200\) −6.49844 + 3.02315i −0.459509 + 0.213769i
\(201\) −3.12464 4.67635i −0.220395 0.329844i
\(202\) 15.3076 7.20031i 1.07704 0.506612i
\(203\) 2.88755 + 5.40222i 0.202666 + 0.379161i
\(204\) −7.15572 + 4.73758i −0.501001 + 0.331697i
\(205\) −0.327141 + 3.32152i −0.0228485 + 0.231985i
\(206\) −4.75820 + 18.8265i −0.331520 + 1.31171i
\(207\) −2.43885 5.88790i −0.169512 0.409237i
\(208\) −6.64404 + 21.2526i −0.460682 + 1.47360i
\(209\) 7.64967 18.4679i 0.529139 1.27745i
\(210\) 4.80406 + 3.57873i 0.331511 + 0.246956i
\(211\) −3.34818 4.07977i −0.230499 0.280863i 0.644898 0.764269i \(-0.276900\pi\)
−0.875397 + 0.483405i \(0.839400\pi\)
\(212\) −5.27877 + 12.5929i −0.362547 + 0.864885i
\(213\) −1.41776 + 4.67374i −0.0971435 + 0.320239i
\(214\) −4.53503 + 4.98238i −0.310008 + 0.340589i
\(215\) −11.0287 2.19374i −0.752150 0.149612i
\(216\) 2.54913 + 1.22553i 0.173446 + 0.0833868i
\(217\) 0.682498 + 3.43115i 0.0463310 + 0.232922i
\(218\) 2.66963 + 10.7544i 0.180810 + 0.728377i
\(219\) −4.21072 + 5.13077i −0.284534 + 0.346705i
\(220\) −10.0872 + 32.7528i −0.680076 + 2.20819i
\(221\) 21.0661 + 11.2600i 1.41706 + 0.757432i
\(222\) −6.45664 + 5.82710i −0.433342 + 0.391089i
\(223\) 0.728363 + 0.728363i 0.0487748 + 0.0487748i 0.731074 0.682299i \(-0.239020\pi\)
−0.682299 + 0.731074i \(0.739020\pi\)
\(224\) −8.25031 + 2.85381i −0.551247 + 0.190678i
\(225\) 1.79181 1.79181i 0.119454 0.119454i
\(226\) 0.662885 12.9343i 0.0440945 0.860375i
\(227\) 9.58574 17.9337i 0.636228 1.19030i −0.332718 0.943026i \(-0.607966\pi\)
0.968946 0.247272i \(-0.0795343\pi\)
\(228\) −0.600697 6.37575i −0.0397821 0.422244i
\(229\) −5.74268 4.71289i −0.379487 0.311437i 0.425242 0.905080i \(-0.360189\pi\)
−0.804728 + 0.593643i \(0.797689\pi\)
\(230\) 12.7630 21.1919i 0.841569 1.39735i
\(231\) 9.44915 1.87955i 0.621708 0.123665i
\(232\) −2.79700 + 10.8727i −0.183632 + 0.713826i
\(233\) −4.70844 + 23.6709i −0.308460 + 1.55073i 0.446392 + 0.894837i \(0.352709\pi\)
−0.754852 + 0.655895i \(0.772291\pi\)
\(234\) −0.369632 7.86386i −0.0241636 0.514077i
\(235\) 30.4271 + 9.22997i 1.98485 + 0.602097i
\(236\) −17.5534 17.7028i −1.14263 1.15235i
\(237\) −2.47411 + 2.03045i −0.160711 + 0.131892i
\(238\) 1.35450 + 9.26646i 0.0877989 + 0.600655i
\(239\) −5.62642 2.33054i −0.363943 0.150750i 0.193216 0.981156i \(-0.438108\pi\)
−0.557158 + 0.830406i \(0.688108\pi\)
\(240\) 2.05064 + 10.7861i 0.132368 + 0.696237i
\(241\) 18.6884 7.74098i 1.20382 0.498640i 0.311592 0.950216i \(-0.399138\pi\)
0.892233 + 0.451576i \(0.149138\pi\)
\(242\) 20.2660 + 33.9747i 1.30275 + 2.18398i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −1.16489 0.785510i −0.0745742 0.0502871i
\(245\) −11.1798 + 5.97570i −0.714248 + 0.381774i
\(246\) 1.61788 + 0.582754i 0.103152 + 0.0371550i
\(247\) −14.8206 + 9.90283i −0.943014 + 0.630102i
\(248\) −3.33116 + 5.47846i −0.211529 + 0.347882i
\(249\) 6.67960 9.99673i 0.423303 0.633517i
\(250\) −9.46580 1.42462i −0.598670 0.0901006i
\(251\) 2.34554 + 23.8146i 0.148049 + 1.50317i 0.726340 + 0.687336i \(0.241220\pi\)
−0.578291 + 0.815831i \(0.696280\pi\)
\(252\) 2.39417 1.94793i 0.150819 0.122708i
\(253\) −11.5492 38.0726i −0.726091 2.39360i
\(254\) 7.26942 15.2860i 0.456124 0.959132i
\(255\) 11.7779 0.737558
\(256\) −14.6762 6.37253i −0.917263 0.398283i
\(257\) 27.0192 1.68541 0.842707 0.538373i \(-0.180961\pi\)
0.842707 + 0.538373i \(0.180961\pi\)
\(258\) −2.48819 + 5.23214i −0.154908 + 0.325739i
\(259\) 2.75506 + 9.08221i 0.171191 + 0.564341i
\(260\) 23.7045 19.2863i 1.47009 1.19609i
\(261\) −0.389052 3.95012i −0.0240817 0.244506i
\(262\) −1.13956 0.171505i −0.0704022 0.0105956i
\(263\) 3.53885 5.29626i 0.218215 0.326581i −0.706170 0.708042i \(-0.749579\pi\)
0.924385 + 0.381461i \(0.124579\pi\)
\(264\) 15.0873 + 9.17379i 0.928559 + 0.564608i
\(265\) 15.5814 10.4112i 0.957158 0.639553i
\(266\) −6.57479 2.36822i −0.403126 0.145205i
\(267\) −8.65603 + 4.62674i −0.529740 + 0.283152i
\(268\) −9.32615 6.28884i −0.569685 0.384152i
\(269\) −18.2010 1.79264i −1.10973 0.109299i −0.473499 0.880795i \(-0.657009\pi\)
−0.636235 + 0.771495i \(0.719509\pi\)
\(270\) −1.98856 3.33371i −0.121020 0.202883i
\(271\) 1.89028 0.782978i 0.114826 0.0475625i −0.324531 0.945875i \(-0.605206\pi\)
0.439357 + 0.898313i \(0.355206\pi\)
\(272\) −9.65626 + 14.1899i −0.585497 + 0.860387i
\(273\) −7.93691 3.28758i −0.480364 0.198973i
\(274\) −3.12505 21.3793i −0.188791 1.29157i
\(275\) 12.2285 10.0357i 0.737408 0.605175i
\(276\) −8.97454 9.05090i −0.540204 0.544800i
\(277\) 4.36127 + 1.32298i 0.262043 + 0.0794900i 0.418573 0.908183i \(-0.362531\pi\)
−0.156529 + 0.987673i \(0.550031\pi\)
\(278\) −1.26971 27.0129i −0.0761521 1.62012i
\(279\) 0.442247 2.22333i 0.0264767 0.133107i
\(280\) 11.6032 + 2.98494i 0.693426 + 0.178384i
\(281\) −2.07315 + 0.412374i −0.123674 + 0.0246002i −0.256539 0.966534i \(-0.582582\pi\)
0.132865 + 0.991134i \(0.457582\pi\)
\(282\) 8.45200 14.0338i 0.503309 0.835701i
\(283\) 3.98537 + 3.27071i 0.236906 + 0.194424i 0.745354 0.666669i \(-0.232281\pi\)
−0.508448 + 0.861093i \(0.669781\pi\)
\(284\) 0.916250 + 9.72502i 0.0543695 + 0.577074i
\(285\) −4.14305 + 7.75109i −0.245413 + 0.459135i
\(286\) 2.51550 49.0827i 0.148745 2.90232i
\(287\) 1.32691 1.32691i 0.0783250 0.0783250i
\(288\) 5.64678 + 0.337390i 0.332740 + 0.0198809i
\(289\) 0.998603 + 0.998603i 0.0587414 + 0.0587414i
\(290\) 11.4381 10.3229i 0.671671 0.606180i
\(291\) −12.3537 6.60320i −0.724188 0.387087i
\(292\) −3.90724 + 12.6867i −0.228654 + 0.742435i
\(293\) 14.1595 17.2534i 0.827207 1.00795i −0.172530 0.985004i \(-0.555194\pi\)
0.999737 0.0229501i \(-0.00730588\pi\)
\(294\) 1.57357 + 6.33899i 0.0917726 + 0.369697i
\(295\) 6.67487 + 33.5568i 0.388626 + 1.95375i
\(296\) −7.53693 + 15.6770i −0.438075 + 0.911206i
\(297\) −6.12289 1.21792i −0.355286 0.0706708i
\(298\) −13.1639 + 14.4625i −0.762567 + 0.837790i
\(299\) −10.2984 + 33.9492i −0.595571 + 1.96333i
\(300\) 1.95926 4.67396i 0.113118 0.269851i
\(301\) 4.01081 + 4.88718i 0.231179 + 0.281693i
\(302\) 0.674221 + 0.502254i 0.0387971 + 0.0289015i
\(303\) −4.57756 + 11.0512i −0.262974 + 0.634875i
\(304\) −5.94172 11.3464i −0.340781 0.650759i
\(305\) 0.737895 + 1.78144i 0.0422517 + 0.102005i
\(306\) 1.48695 5.88332i 0.0850030 0.336327i
\(307\) 0.961956 9.76690i 0.0549017 0.557426i −0.927909 0.372808i \(-0.878395\pi\)
0.982810 0.184618i \(-0.0591049\pi\)
\(308\) 16.0664 10.6371i 0.915469 0.606103i
\(309\) −6.47274 12.1096i −0.368221 0.688893i
\(310\) 7.96259 3.74541i 0.452245 0.212725i
\(311\) 13.5695 + 20.3082i 0.769456 + 1.15157i 0.984571 + 0.174983i \(0.0559871\pi\)
−0.215116 + 0.976589i \(0.569013\pi\)
\(312\) −6.64131 14.2759i −0.375990 0.808213i
\(313\) 0.400851 + 0.267840i 0.0226574 + 0.0151392i 0.566847 0.823823i \(-0.308163\pi\)
−0.544190 + 0.838962i \(0.683163\pi\)
\(314\) 0.798071 + 1.08085i 0.0450377 + 0.0609959i
\(315\) −4.21554 + 0.415194i −0.237518 + 0.0233935i
\(316\) −3.04141 + 5.63255i −0.171093 + 0.316856i
\(317\) 16.2606 4.93259i 0.913285 0.277042i 0.201541 0.979480i \(-0.435405\pi\)
0.711745 + 0.702438i \(0.247905\pi\)
\(318\) −3.23349 9.09769i −0.181325 0.510173i
\(319\) 24.7793i 1.38737i
\(320\) 11.9665 + 18.4114i 0.668946 + 1.02923i
\(321\) 4.76396i 0.265898i
\(322\) −13.1058 + 4.65805i −0.730360 + 0.259583i
\(323\) −13.1480 + 3.98839i −0.731572 + 0.221920i
\(324\) −1.91632 + 0.572456i −0.106462 + 0.0318031i
\(325\) −14.0382 + 1.38264i −0.778697 + 0.0766950i
\(326\) −9.36538 + 6.91514i −0.518700 + 0.382994i
\(327\) −6.51480 4.35305i −0.360269 0.240724i
\(328\) 3.43612 0.146925i 0.189728 0.00811259i
\(329\) −9.93204 14.8644i −0.547571 0.819498i
\(330\) −10.3146 21.9284i −0.567800 1.20712i
\(331\) 8.43007 + 15.7716i 0.463359 + 0.866883i 0.999738 + 0.0229057i \(0.00729174\pi\)
−0.536379 + 0.843977i \(0.680208\pi\)
\(332\) 4.79099 23.5638i 0.262940 1.29323i
\(333\) 0.602799 6.12032i 0.0330332 0.335391i
\(334\) 12.1278 + 3.06517i 0.663605 + 0.167719i
\(335\) 5.90763 + 14.2623i 0.322768 + 0.779231i
\(336\) 2.95595 5.41925i 0.161260 0.295644i
\(337\) 2.80491 6.77166i 0.152793 0.368876i −0.828886 0.559418i \(-0.811025\pi\)
0.981679 + 0.190542i \(0.0610247\pi\)
\(338\) −15.1976 + 20.4011i −0.826638 + 1.10967i
\(339\) 5.80972 + 7.07916i 0.315541 + 0.384487i
\(340\) 21.8006 8.92210i 1.18230 0.483869i
\(341\) 4.10805 13.5424i 0.222464 0.733364i
\(342\) 3.34880 + 3.04812i 0.181082 + 0.164824i
\(343\) 17.5855 + 3.49798i 0.949530 + 0.188873i
\(344\) −0.642091 + 11.5695i −0.0346192 + 0.623785i
\(345\) 3.41266 + 17.1566i 0.183732 + 0.923681i
\(346\) 18.7267 4.64867i 1.00675 0.249914i
\(347\) 0.345923 0.421509i 0.0185701 0.0226278i −0.763643 0.645639i \(-0.776591\pi\)
0.782213 + 0.623011i \(0.214091\pi\)
\(348\) −3.71247 7.01688i −0.199009 0.376144i
\(349\) 11.1529 + 5.96135i 0.597001 + 0.319104i 0.742075 0.670317i \(-0.233842\pi\)
−0.145074 + 0.989421i \(0.546342\pi\)
\(350\) −3.70531 4.10562i −0.198057 0.219455i
\(351\) 3.93627 + 3.93627i 0.210103 + 0.210103i
\(352\) 34.8758 + 5.55143i 1.85889 + 0.295892i
\(353\) −22.1452 + 22.1452i −1.17867 + 1.17867i −0.198585 + 0.980084i \(0.563635\pi\)
−0.980084 + 0.198585i \(0.936365\pi\)
\(354\) 17.6051 + 0.902269i 0.935702 + 0.0479550i
\(355\) 6.31944 11.8228i 0.335401 0.627492i
\(356\) −12.5173 + 15.1213i −0.663414 + 0.801425i
\(357\) −5.11888 4.20096i −0.270920 0.222338i
\(358\) 4.10932 + 2.47488i 0.217184 + 0.130801i
\(359\) 25.8235 5.13661i 1.36291 0.271100i 0.541147 0.840928i \(-0.317990\pi\)
0.821764 + 0.569828i \(0.192990\pi\)
\(360\) −6.20619 4.66424i −0.327095 0.245827i
\(361\) −1.70650 + 8.57917i −0.0898159 + 0.451535i
\(362\) 0.0104342 0.000490448i 0.000548410 2.57774e-5i
\(363\) −26.7686 8.12017i −1.40499 0.426198i
\(364\) −17.1816 0.0727859i −0.900558 0.00381502i
\(365\) 14.0830 11.5576i 0.737138 0.604954i
\(366\) 0.983029 0.143691i 0.0513838 0.00751086i
\(367\) −15.0989 6.25415i −0.788154 0.326464i −0.0479527 0.998850i \(-0.515270\pi\)
−0.740201 + 0.672386i \(0.765270\pi\)
\(368\) −23.4681 9.95458i −1.22336 0.518918i
\(369\) −1.12340 + 0.465329i −0.0584820 + 0.0242240i
\(370\) 20.5021 12.2295i 1.06585 0.635783i
\(371\) −10.4855 1.03273i −0.544378 0.0536165i
\(372\) −0.865649 4.45036i −0.0448818 0.230740i
\(373\) 11.6937 6.25039i 0.605475 0.323633i −0.140016 0.990149i \(-0.544715\pi\)
0.745490 + 0.666516i \(0.232215\pi\)
\(374\) 12.8381 35.6419i 0.663843 1.84300i
\(375\) 5.62798 3.76049i 0.290628 0.194191i
\(376\) 5.01345 32.3790i 0.258549 1.66982i
\(377\) −12.2757 + 18.3718i −0.632229 + 0.946198i
\(378\) −0.324809 + 2.15818i −0.0167064 + 0.111005i
\(379\) −1.78473 18.1206i −0.0916752 0.930794i −0.925496 0.378758i \(-0.876351\pi\)
0.833821 0.552036i \(-0.186149\pi\)
\(380\) −1.79701 + 17.4856i −0.0921847 + 0.896995i
\(381\) 3.47438 + 11.4535i 0.177998 + 0.586780i
\(382\) 28.0571 + 13.3428i 1.43553 + 0.682678i
\(383\) 17.1598 0.876824 0.438412 0.898774i \(-0.355541\pi\)
0.438412 + 0.898774i \(0.355541\pi\)
\(384\) 10.7077 3.65312i 0.546425 0.186422i
\(385\) −26.4443 −1.34772
\(386\) −17.8563 8.49172i −0.908860 0.432217i
\(387\) −1.18922 3.92032i −0.0604513 0.199281i
\(388\) −27.8687 2.86408i −1.41482 0.145402i
\(389\) 0.287229 + 2.91628i 0.0145631 + 0.147861i 0.999716 0.0238156i \(-0.00758145\pi\)
−0.985153 + 0.171677i \(0.945081\pi\)
\(390\) −3.21592 + 21.3680i −0.162844 + 1.08201i
\(391\) −15.1928 + 22.7376i −0.768332 + 1.14989i
\(392\) 7.71464 + 10.5413i 0.389648 + 0.532418i
\(393\) 0.677535 0.452715i 0.0341771 0.0228364i
\(394\) 10.2105 28.3469i 0.514396 1.42810i
\(395\) 7.74776 4.14127i 0.389832 0.208370i
\(396\) −12.2560 + 2.38394i −0.615887 + 0.119797i
\(397\) −18.9112 1.86259i −0.949125 0.0934806i −0.388407 0.921488i \(-0.626975\pi\)
−0.560717 + 0.828007i \(0.689475\pi\)
\(398\) −26.5478 + 15.8358i −1.33072 + 0.793776i
\(399\) 4.56533 1.89102i 0.228552 0.0946694i
\(400\) 0.0858763 10.1356i 0.00429382 0.506782i
\(401\) 3.08275 + 1.27692i 0.153945 + 0.0637661i 0.458326 0.888784i \(-0.348449\pi\)
−0.304380 + 0.952551i \(0.598449\pi\)
\(402\) 7.87019 1.15040i 0.392529 0.0573768i
\(403\) −9.75472 + 8.00549i −0.485917 + 0.398782i
\(404\) −0.101346 + 23.9233i −0.00504214 + 1.19023i
\(405\) 2.62662 + 0.796777i 0.130518 + 0.0395922i
\(406\) −8.65323 + 0.406735i −0.429452 + 0.0201859i
\(407\) 7.49012 37.6554i 0.371271 1.86651i
\(408\) −1.70449 12.0163i −0.0843850 0.594898i
\(409\) 28.1776 5.60487i 1.39329 0.277143i 0.559322 0.828951i \(-0.311062\pi\)
0.833972 + 0.551808i \(0.186062\pi\)
\(410\) −4.04338 2.43517i −0.199689 0.120264i
\(411\) 11.8101 + 9.69230i 0.582550 + 0.478086i
\(412\) −21.1544 17.5114i −1.04220 0.862727i
\(413\) 9.06811 16.9652i 0.446213 0.834805i
\(414\) 9.00099 + 0.461304i 0.442375 + 0.0226718i
\(415\) −23.3351 + 23.3351i −1.14547 + 1.14547i
\(416\) −23.1074 21.3934i −1.13293 1.04890i
\(417\) 13.5213 + 13.5213i 0.662143 + 0.662143i
\(418\) 18.9402 + 20.9865i 0.926396 + 1.02648i
\(419\) 1.88980 + 1.01012i 0.0923228 + 0.0493476i 0.516912 0.856039i \(-0.327081\pi\)
−0.424589 + 0.905386i \(0.639581\pi\)
\(420\) −7.48837 + 3.96192i −0.365395 + 0.193322i
\(421\) −11.8024 + 14.3812i −0.575212 + 0.700898i −0.976613 0.215004i \(-0.931023\pi\)
0.401401 + 0.915902i \(0.368523\pi\)
\(422\) 7.24404 1.79824i 0.352634 0.0875369i
\(423\) 2.25995 + 11.3615i 0.109883 + 0.552417i
\(424\) −12.8769 14.3902i −0.625359 0.698851i
\(425\) −10.6643 2.12127i −0.517296 0.102897i
\(426\) −5.10797 4.64934i −0.247482 0.225261i
\(427\) 0.314704 1.03744i 0.0152296 0.0502053i
\(428\) −3.60885 8.81801i −0.174440 0.426235i
\(429\) 22.0466 + 26.8638i 1.06442 + 1.29700i
\(430\) 9.50013 12.7529i 0.458137 0.614999i
\(431\) −2.38748 + 5.76389i −0.115001 + 0.277637i −0.970891 0.239521i \(-0.923010\pi\)
0.855890 + 0.517157i \(0.173010\pi\)
\(432\) −3.11343 + 2.51129i −0.149795 + 0.120824i
\(433\) 7.60286 + 18.3549i 0.365370 + 0.882082i 0.994496 + 0.104778i \(0.0334131\pi\)
−0.629126 + 0.777304i \(0.716587\pi\)
\(434\) −4.79662 1.21229i −0.230245 0.0581919i
\(435\) −1.06788 + 10.8423i −0.0512007 + 0.519850i
\(436\) −15.3564 3.12226i −0.735437 0.149529i
\(437\) −9.61949 17.9968i −0.460162 0.860903i
\(438\) −3.99534 8.49395i −0.190905 0.405856i
\(439\) 1.78528 + 2.67186i 0.0852067 + 0.127521i 0.871625 0.490174i \(-0.163067\pi\)
−0.786418 + 0.617695i \(0.788067\pi\)
\(440\) −35.7037 32.7756i −1.70210 1.56251i
\(441\) −3.84004 2.56583i −0.182859 0.122183i
\(442\) −27.1755 + 20.0656i −1.29260 + 0.954424i
\(443\) 6.48538 0.638754i 0.308129 0.0303481i 0.0572293 0.998361i \(-0.481773\pi\)
0.250900 + 0.968013i \(0.419273\pi\)
\(444\) −3.52057 11.7853i −0.167079 0.559304i
\(445\) 25.7802 7.82034i 1.22210 0.370720i
\(446\) −1.37261 + 0.487850i −0.0649949 + 0.0231004i
\(447\) 13.8285i 0.654064i
\(448\) 1.36616 12.2702i 0.0645452 0.579711i
\(449\) 27.9353i 1.31835i −0.751990 0.659175i \(-0.770906\pi\)
0.751990 0.659175i \(-0.229094\pi\)
\(450\) 1.20013 + 3.37668i 0.0565749 + 0.159178i
\(451\) −7.26419 + 2.20357i −0.342058 + 0.103762i
\(452\) 16.1164 + 8.70237i 0.758051 + 0.409325i
\(453\) −0.591626 + 0.0582701i −0.0277970 + 0.00273777i
\(454\) 17.0820 + 23.1346i 0.801697 + 1.08576i
\(455\) 19.6063 + 13.1005i 0.919157 + 0.614161i
\(456\) 8.50763 + 3.10520i 0.398406 + 0.145414i
\(457\) −15.8823 23.7696i −0.742944 1.11189i −0.989747 0.142829i \(-0.954380\pi\)
0.246803 0.969066i \(-0.420620\pi\)
\(458\) 9.50695 4.47184i 0.444231 0.208955i
\(459\) 2.02274 + 3.78428i 0.0944134 + 0.176635i
\(460\) 19.3135 + 29.1714i 0.900496 + 1.36013i
\(461\) 0.982621 9.97672i 0.0457652 0.464662i −0.944803 0.327640i \(-0.893747\pi\)
0.990568 0.137022i \(-0.0437532\pi\)
\(462\) −3.33857 + 13.2096i −0.155324 + 0.614564i
\(463\) −6.75440 16.3066i −0.313904 0.757831i −0.999553 0.0298986i \(-0.990482\pi\)
0.685649 0.727932i \(-0.259518\pi\)
\(464\) −12.1872 10.1758i −0.565779 0.472401i
\(465\) −2.38112 + 5.74854i −0.110422 + 0.266582i
\(466\) −27.3716 20.3902i −1.26796 0.944556i
\(467\) 4.09031 + 4.98405i 0.189277 + 0.230635i 0.858999 0.511977i \(-0.171087\pi\)
−0.669722 + 0.742612i \(0.733587\pi\)
\(468\) 10.2678 + 4.30413i 0.474631 + 0.198958i
\(469\) 2.51954 8.30581i 0.116341 0.383527i
\(470\) −30.2683 + 33.2541i −1.39617 + 1.53390i
\(471\) −0.931786 0.185344i −0.0429344 0.00854019i
\(472\) 33.2703 11.6664i 1.53139 0.536988i
\(473\) −4.98948 25.0838i −0.229417 1.15335i
\(474\) −1.09051 4.39303i −0.0500889 0.201778i
\(475\) 5.14737 6.27209i 0.236178 0.287783i
\(476\) −12.6573 3.89819i −0.580148 0.178673i
\(477\) 6.02112 + 3.21836i 0.275688 + 0.147358i
\(478\) 6.39371 5.77030i 0.292442 0.263927i
\(479\) 1.53866 + 1.53866i 0.0703031 + 0.0703031i 0.741384 0.671081i \(-0.234170\pi\)
−0.671081 + 0.741384i \(0.734170\pi\)
\(480\) −15.0209 3.93205i −0.685606 0.179473i
\(481\) −24.2078 + 24.2078i −1.10378 + 1.10378i
\(482\) −1.46419 + 28.5694i −0.0666922 + 1.30130i
\(483\) 4.63626 8.67383i 0.210957 0.394673i
\(484\) −55.6996 + 5.24778i −2.53180 + 0.238535i
\(485\) 29.7212 + 24.3916i 1.34957 + 1.10756i
\(486\) 0.729619 1.21147i 0.0330962 0.0549533i
\(487\) 2.20948 0.439493i 0.100121 0.0199153i −0.144775 0.989465i \(-0.546246\pi\)
0.244897 + 0.969549i \(0.421246\pi\)
\(488\) 1.71072 1.01065i 0.0774407 0.0457498i
\(489\) 1.60597 8.07376i 0.0726245 0.365108i
\(490\) −0.841727 17.9076i −0.0380254 0.808984i
\(491\) 38.1824 + 11.5825i 1.72315 + 0.522711i 0.987901 0.155087i \(-0.0495659\pi\)
0.735248 + 0.677799i \(0.237066\pi\)
\(492\) −1.72690 + 1.71233i −0.0778546 + 0.0771978i
\(493\) −13.1657 + 10.8048i −0.592954 + 0.486625i
\(494\) −3.64593 24.9428i −0.164038 1.12223i
\(495\) 15.8311 + 6.55745i 0.711554 + 0.294735i
\(496\) −4.97360 7.58179i −0.223321 0.340433i
\(497\) −6.96355 + 2.88440i −0.312358 + 0.129383i
\(498\) 8.71040 + 14.6025i 0.390322 + 0.654353i
\(499\) −19.8978 1.95976i −0.890749 0.0877311i −0.357721 0.933829i \(-0.616446\pi\)
−0.533028 + 0.846097i \(0.678946\pi\)
\(500\) 7.56860 11.2240i 0.338478 0.501952i
\(501\) −7.80087 + 4.16965i −0.348517 + 0.186286i
\(502\) −31.8395 11.4685i −1.42106 0.511863i
\(503\) −13.9350 + 9.31104i −0.621329 + 0.415159i −0.825998 0.563672i \(-0.809388\pi\)
0.204669 + 0.978831i \(0.434388\pi\)
\(504\) 1.03367 + 4.24081i 0.0460435 + 0.188901i
\(505\) 18.2409 27.2994i 0.811709 1.21481i
\(506\) 55.6389 + 8.37374i 2.47345 + 0.372258i
\(507\) −1.76318 17.9019i −0.0783055 0.795049i
\(508\) 15.1074 + 18.5683i 0.670283 + 0.823835i
\(509\) −10.7456 35.4235i −0.476291 1.57012i −0.785333 0.619073i \(-0.787509\pi\)
0.309042 0.951048i \(-0.399991\pi\)
\(510\) −7.15340 + 15.0421i −0.316758 + 0.666075i
\(511\) −10.2432 −0.453130
\(512\) 17.0524 14.8733i 0.753618 0.657313i
\(513\) −3.20199 −0.141371
\(514\) −16.4104 + 34.5076i −0.723833 + 1.52207i
\(515\) 10.9405 + 36.0661i 0.482097 + 1.58926i
\(516\) −5.17099 6.35559i −0.227640 0.279789i
\(517\) 7.08840 + 71.9697i 0.311747 + 3.16522i
\(518\) −13.2727 1.99755i −0.583167 0.0877675i
\(519\) −7.58003 + 11.3443i −0.332726 + 0.497960i
\(520\) 10.2344 + 41.9880i 0.448806 + 1.84130i
\(521\) 2.85015 1.90441i 0.124867 0.0834337i −0.491568 0.870839i \(-0.663576\pi\)
0.616435 + 0.787405i \(0.288576\pi\)
\(522\) 5.28119 + 1.90227i 0.231151 + 0.0832600i
\(523\) 15.2013 8.12528i 0.664708 0.355294i −0.104288 0.994547i \(-0.533256\pi\)
0.768996 + 0.639253i \(0.220756\pi\)
\(524\) 0.911161 1.35122i 0.0398043 0.0590284i
\(525\) 3.89176 + 0.383305i 0.169850 + 0.0167288i
\(526\) 4.61476 + 7.73638i 0.201213 + 0.337322i
\(527\) −8.98665 + 3.72239i −0.391465 + 0.162150i
\(528\) −20.8797 + 13.6969i −0.908674 + 0.596083i
\(529\) −16.2744 6.74109i −0.707584 0.293091i
\(530\) 3.83309 + 26.2231i 0.166499 + 1.13906i
\(531\) −9.63561 + 7.90774i −0.418150 + 0.343167i
\(532\) 7.01784 6.95863i 0.304262 0.301695i
\(533\) 6.47746 + 1.96492i 0.280570 + 0.0851100i
\(534\) −0.651715 13.8652i −0.0282025 0.600004i
\(535\) −2.55103 + 12.8249i −0.110291 + 0.554470i
\(536\) 13.6961 8.09129i 0.591583 0.349491i
\(537\) −3.32684 + 0.661749i −0.143564 + 0.0285566i
\(538\) 13.3440 22.1566i 0.575302 0.955239i
\(539\) −22.2873 18.2907i −0.959982 0.787837i
\(540\) 5.46542 0.514929i 0.235194 0.0221590i
\(541\) 12.4800 23.3484i 0.536556 1.00383i −0.456890 0.889523i \(-0.651037\pi\)
0.993446 0.114303i \(-0.0364634\pi\)
\(542\) −0.148099 + 2.88972i −0.00636139 + 0.124124i
\(543\) −0.00522287 + 0.00522287i −0.000224135 + 0.000224135i
\(544\) −12.2578 20.9509i −0.525547 0.898261i
\(545\) 15.2073 + 15.2073i 0.651409 + 0.651409i
\(546\) 9.01930 8.13989i 0.385990 0.348355i
\(547\) −24.9645 13.3438i −1.06740 0.570539i −0.158421 0.987372i \(-0.550640\pi\)
−0.908983 + 0.416832i \(0.863140\pi\)
\(548\) 29.2026 + 8.99377i 1.24747 + 0.384195i
\(549\) −0.445657 + 0.543035i −0.0190202 + 0.0231762i
\(550\) 5.38996 + 21.7130i 0.229829 + 0.925844i
\(551\) −2.47949 12.4652i −0.105630 0.531037i
\(552\) 17.0101 5.96468i 0.724000 0.253873i
\(553\) −4.84444 0.963620i −0.206007 0.0409773i
\(554\) −4.33851 + 4.76647i −0.184325 + 0.202508i
\(555\) −4.90013 + 16.1536i −0.207999 + 0.685680i
\(556\) 35.2707 + 14.7850i 1.49581 + 0.627022i
\(557\) −22.7487 27.7194i −0.963893 1.17451i −0.984618 0.174721i \(-0.944098\pi\)
0.0207252 0.999785i \(-0.493402\pi\)
\(558\) 2.57092 + 1.91518i 0.108836 + 0.0810759i
\(559\) −8.72724 + 21.0694i −0.369123 + 0.891141i
\(560\) −10.8596 + 13.0061i −0.458901 + 0.549610i
\(561\) 10.2512 + 24.7486i 0.432807 + 1.04489i
\(562\) 0.732483 2.89818i 0.0308980 0.122252i
\(563\) −0.260558 + 2.64549i −0.0109812 + 0.111494i −0.999113 0.0421163i \(-0.986590\pi\)
0.988132 + 0.153610i \(0.0490900\pi\)
\(564\) 12.7899 + 19.3181i 0.538551 + 0.813437i
\(565\) −11.8494 22.1686i −0.498507 0.932642i
\(566\) −6.59775 + 3.10342i −0.277324 + 0.130446i
\(567\) −0.857384 1.28317i −0.0360067 0.0538879i
\(568\) −12.9768 4.73640i −0.544495 0.198735i
\(569\) 9.57546 + 6.39812i 0.401424 + 0.268223i 0.739852 0.672769i \(-0.234895\pi\)
−0.338428 + 0.940992i \(0.609895\pi\)
\(570\) −7.38299 9.99900i −0.309239 0.418812i
\(571\) 26.4717 2.60724i 1.10781 0.109110i 0.472472 0.881346i \(-0.343362\pi\)
0.635336 + 0.772236i \(0.280862\pi\)
\(572\) 61.1581 + 33.0236i 2.55715 + 1.38078i
\(573\) −21.0226 + 6.37713i −0.878231 + 0.266408i
\(574\) 0.888750 + 2.50058i 0.0370957 + 0.104372i
\(575\) 16.1492i 0.673469i
\(576\) −3.86053 + 7.00687i −0.160856 + 0.291953i
\(577\) 24.4488i 1.01782i −0.860821 0.508908i \(-0.830049\pi\)
0.860821 0.508908i \(-0.169951\pi\)
\(578\) −1.88188 + 0.668854i −0.0782758 + 0.0278207i
\(579\) 13.3793 4.05857i 0.556025 0.168668i
\(580\) 6.23679 + 20.8779i 0.258969 + 0.866909i
\(581\) 18.4651 1.81865i 0.766061 0.0754504i
\(582\) 15.9365 11.7670i 0.660587 0.487759i
\(583\) 35.4386 + 23.6793i 1.46772 + 0.980697i
\(584\) −13.8298 12.6956i −0.572280 0.525346i
\(585\) −8.48891 12.7045i −0.350973 0.525268i
\(586\) 13.4353 + 28.5628i 0.555006 + 1.17992i
\(587\) 5.98065 + 11.1890i 0.246848 + 0.461820i 0.974579 0.224042i \(-0.0719253\pi\)
−0.727732 + 0.685862i \(0.759425\pi\)
\(588\) −9.05156 1.84036i −0.373280 0.0758953i
\(589\) 0.711462 7.22360i 0.0293153 0.297643i
\(590\) −46.9111 11.8563i −1.93130 0.488116i
\(591\) 8.15305 + 19.6832i 0.335372 + 0.809659i
\(592\) −15.4442 19.1474i −0.634754 0.786953i
\(593\) −15.5260 + 37.4831i −0.637577 + 1.53925i 0.192321 + 0.981332i \(0.438399\pi\)
−0.829898 + 0.557915i \(0.811601\pi\)
\(594\) 5.27427 7.08014i 0.216406 0.290501i
\(595\) 11.5308 + 14.0504i 0.472718 + 0.576009i
\(596\) −10.4755 25.5963i −0.429094 1.04846i
\(597\) 6.34508 20.9169i 0.259687 0.856073i
\(598\) −37.1034 33.7720i −1.51727 1.38104i
\(599\) −38.5645 7.67096i −1.57570 0.313427i −0.671658 0.740861i \(-0.734418\pi\)
−0.904046 + 0.427434i \(0.859418\pi\)
\(600\) 4.77938 + 5.34105i 0.195117 + 0.218047i
\(601\) 6.37976 + 32.0732i 0.260236 + 1.30829i 0.860893 + 0.508786i \(0.169906\pi\)
−0.600657 + 0.799507i \(0.705094\pi\)
\(602\) −8.67767 + 2.15412i −0.353676 + 0.0877954i
\(603\) −3.56795 + 4.34757i −0.145298 + 0.177047i
\(604\) −1.05095 + 0.556033i −0.0427625 + 0.0226247i
\(605\) 67.7148 + 36.1943i 2.75300 + 1.47151i
\(606\) −11.3338 12.5583i −0.460405 0.510146i
\(607\) 4.83355 + 4.83355i 0.196188 + 0.196188i 0.798363 0.602176i \(-0.205699\pi\)
−0.602176 + 0.798363i \(0.705699\pi\)
\(608\) 18.0998 0.697127i 0.734043 0.0282722i
\(609\) 4.33139 4.33139i 0.175517 0.175517i
\(610\) −2.72333 0.139572i −0.110264 0.00565109i
\(611\) 30.3983 56.8713i 1.22979 2.30077i
\(612\) 6.61077 + 5.47235i 0.267225 + 0.221207i
\(613\) 22.7852 + 18.6993i 0.920284 + 0.755257i 0.969898 0.243511i \(-0.0782992\pi\)
−0.0496143 + 0.998768i \(0.515799\pi\)
\(614\) 11.8895 + 7.16059i 0.479823 + 0.288978i
\(615\) 3.27346 0.651131i 0.131999 0.0262561i
\(616\) 3.82702 + 26.9798i 0.154195 + 1.08705i
\(617\) −0.220821 + 1.11014i −0.00888991 + 0.0446926i −0.984976 0.172693i \(-0.944753\pi\)
0.976086 + 0.217386i \(0.0697530\pi\)
\(618\) 19.3971 0.911738i 0.780266 0.0366755i
\(619\) −18.9964 5.76250i −0.763530 0.231614i −0.115581 0.993298i \(-0.536873\pi\)
−0.647949 + 0.761684i \(0.724373\pi\)
\(620\) −0.0527173 + 12.4442i −0.00211718 + 0.499773i
\(621\) −4.92641 + 4.04300i −0.197690 + 0.162240i
\(622\) −34.1782 + 4.99589i −1.37042 + 0.200317i
\(623\) −13.9940 5.79648i −0.560656 0.232231i
\(624\) 22.2661 + 0.188654i 0.891358 + 0.00755222i
\(625\) −28.8702 + 11.9584i −1.15481 + 0.478337i
\(626\) −0.585533 + 0.349271i −0.0234026 + 0.0139597i
\(627\) −19.8933 1.95932i −0.794462 0.0782476i
\(628\) −1.86513 + 0.362790i −0.0744266 + 0.0144769i
\(629\) −23.2731 + 12.4397i −0.927958 + 0.496004i
\(630\) 2.03009 5.63604i 0.0808805 0.224545i
\(631\) 6.04512 4.03922i 0.240652 0.160799i −0.429396 0.903116i \(-0.641273\pi\)
0.670048 + 0.742318i \(0.266273\pi\)
\(632\) −5.34638 7.30533i −0.212668 0.290590i
\(633\) −2.93217 + 4.38831i −0.116543 + 0.174420i
\(634\) −3.57638 + 23.7631i −0.142036 + 0.943752i
\(635\) −3.22009 32.6941i −0.127785 1.29743i
\(636\) 13.5830 + 1.39593i 0.538601 + 0.0553524i
\(637\) 7.46301 + 24.6022i 0.295695 + 0.974776i
\(638\) 31.6469 + 15.0500i 1.25291 + 0.595834i
\(639\) 4.88404 0.193210
\(640\) −30.7821 + 4.10064i −1.21677 + 0.162092i
\(641\) −22.8564 −0.902774 −0.451387 0.892328i \(-0.649071\pi\)
−0.451387 + 0.892328i \(0.649071\pi\)
\(642\) 6.08429 + 2.89344i 0.240128 + 0.114195i
\(643\) −1.04656 3.45006i −0.0412725 0.136057i 0.933883 0.357579i \(-0.116398\pi\)
−0.975155 + 0.221522i \(0.928898\pi\)
\(644\) 2.01094 19.5672i 0.0792420 0.771057i
\(645\) 1.10218 + 11.1906i 0.0433982 + 0.440630i
\(646\) 2.89178 19.2143i 0.113776 0.755977i
\(647\) −9.72627 + 14.5564i −0.382379 + 0.572271i −0.971874 0.235501i \(-0.924327\pi\)
0.589495 + 0.807772i \(0.299327\pi\)
\(648\) 0.432786 2.79512i 0.0170015 0.109803i
\(649\) −64.7028 + 43.2330i −2.53981 + 1.69704i
\(650\) 6.76039 18.7686i 0.265164 0.736165i
\(651\) 3.08529 1.64912i 0.120922 0.0646341i
\(652\) −3.14351 16.1610i −0.123109 0.632913i
\(653\) 15.1683 + 1.49395i 0.593582 + 0.0584627i 0.390348 0.920667i \(-0.372355\pi\)
0.203234 + 0.979130i \(0.434855\pi\)
\(654\) 9.51633 5.67650i 0.372118 0.221969i
\(655\) −2.06640 + 0.855929i −0.0807408 + 0.0334439i
\(656\) −1.89932 + 4.47768i −0.0741559 + 0.174824i
\(657\) 6.13215 + 2.54002i 0.239238 + 0.0990956i
\(658\) 25.0163 3.65669i 0.975239 0.142553i
\(659\) 8.45255 6.93683i 0.329264 0.270220i −0.455207 0.890386i \(-0.650435\pi\)
0.784471 + 0.620166i \(0.212935\pi\)
\(660\) 34.2706 + 0.145180i 1.33398 + 0.00565112i
\(661\) −21.4005 6.49177i −0.832383 0.252501i −0.154799 0.987946i \(-0.549473\pi\)
−0.677584 + 0.735445i \(0.736973\pi\)
\(662\) −25.2627 + 1.18745i −0.981864 + 0.0461514i
\(663\) 4.66003 23.4276i 0.180981 0.909852i
\(664\) 27.1847 + 20.4306i 1.05497 + 0.792859i
\(665\) −13.3028 + 2.64609i −0.515861 + 0.102611i
\(666\) 7.45045 + 4.48711i 0.288699 + 0.173872i
\(667\) −19.5540 16.0476i −0.757135 0.621365i
\(668\) −11.2807 + 13.6274i −0.436461 + 0.527259i
\(669\) 0.485567 0.908432i 0.0187731 0.0351220i
\(670\) −21.8031 1.11742i −0.842329 0.0431696i
\(671\) −3.10106 + 3.10106i −0.119715 + 0.119715i
\(672\) 5.12587 + 7.06663i 0.197735 + 0.272601i
\(673\) 20.9988 + 20.9988i 0.809442 + 0.809442i 0.984549 0.175107i \(-0.0560271\pi\)
−0.175107 + 0.984549i \(0.556027\pi\)
\(674\) 6.94483 + 7.69513i 0.267505 + 0.296405i
\(675\) −2.23479 1.19452i −0.0860170 0.0459771i
\(676\) −16.8248 31.8004i −0.647110 1.22309i
\(677\) 15.6424 19.0604i 0.601188 0.732550i −0.380132 0.924932i \(-0.624121\pi\)
0.981320 + 0.192382i \(0.0616214\pi\)
\(678\) −12.5697 + 3.12028i −0.482738 + 0.119834i
\(679\) −4.21735 21.2021i −0.161847 0.813661i
\(680\) −1.84597 + 33.2616i −0.0707899 + 1.27552i
\(681\) −19.9440 3.96712i −0.764257 0.152020i
\(682\) 14.8007 + 13.4717i 0.566747 + 0.515860i
\(683\) 3.05021 10.0552i 0.116713 0.384752i −0.879047 0.476734i \(-0.841820\pi\)
0.995761 + 0.0919825i \(0.0293204\pi\)
\(684\) −5.92684 + 2.42561i −0.226618 + 0.0927457i
\(685\) −26.6036 32.4165i −1.01647 1.23857i
\(686\) −15.1482 + 20.3348i −0.578362 + 0.776388i
\(687\) −2.84295 + 6.86348i −0.108465 + 0.261858i
\(688\) −14.3860 7.84690i −0.548461 0.299160i
\(689\) −14.5441 35.1126i −0.554087 1.33768i
\(690\) −23.9843 6.06177i −0.913067 0.230768i
\(691\) 0.208606 2.11801i 0.00793574 0.0805729i −0.990401 0.138223i \(-0.955861\pi\)
0.998337 + 0.0576503i \(0.0183609\pi\)
\(692\) −5.43683 + 26.7403i −0.206677 + 1.01651i
\(693\) −4.54156 8.49667i −0.172520 0.322762i
\(694\) 0.328230 + 0.697804i 0.0124594 + 0.0264883i
\(695\) −29.1600 43.6410i −1.10610 1.65540i
\(696\) 11.2164 0.479603i 0.425158 0.0181793i
\(697\) 4.33830 + 2.89876i 0.164325 + 0.109798i
\(698\) −14.3874 + 10.6232i −0.544570 + 0.402096i
\(699\) 24.0184 2.36561i 0.908461 0.0894756i
\(700\) 7.49396 2.23864i 0.283245 0.0846128i
\(701\) 20.9613 6.35855i 0.791699 0.240159i 0.131565 0.991307i \(-0.458000\pi\)
0.660134 + 0.751148i \(0.270500\pi\)
\(702\) −7.41795 + 2.63647i −0.279972 + 0.0995073i
\(703\) 19.6920i 0.742699i
\(704\) −28.2722 + 41.1699i −1.06555 + 1.55165i
\(705\) 31.7963i 1.19752i
\(706\) −14.8326 41.7328i −0.558233 1.57064i
\(707\) −17.6651 + 5.35864i −0.664363 + 0.201532i
\(708\) −11.8450 + 21.9364i −0.445162 + 0.824420i
\(709\) −34.9015 + 3.43750i −1.31075 + 0.129098i −0.729139 0.684366i \(-0.760079\pi\)
−0.581616 + 0.813464i \(0.697579\pi\)
\(710\) 11.2614 + 15.2516i 0.422632 + 0.572383i
\(711\) 2.66122 + 1.77817i 0.0998034 + 0.0666865i
\(712\) −11.7096 25.1705i −0.438836 0.943304i
\(713\) −8.02626 12.0121i −0.300586 0.449858i
\(714\) 8.47426 3.98608i 0.317141 0.149175i
\(715\) −44.9658 84.1250i −1.68162 3.14610i
\(716\) −5.65663 + 3.74507i −0.211398 + 0.139960i
\(717\) −0.596923 + 6.06066i −0.0222925 + 0.226340i
\(718\) −9.12394 + 36.1002i −0.340502 + 1.34725i
\(719\) −2.11444 5.10471i −0.0788553 0.190373i 0.879535 0.475834i \(-0.157854\pi\)
−0.958391 + 0.285460i \(0.907854\pi\)
\(720\) 9.72634 5.09336i 0.362479 0.189818i
\(721\) 8.10918 19.5773i 0.302002 0.729097i
\(722\) −9.92042 7.39011i −0.369200 0.275031i
\(723\) −12.8326 15.6366i −0.477250 0.581531i
\(724\) −0.00571096 + 0.0136239i −0.000212246 + 0.000506330i
\(725\) 2.91969 9.62493i 0.108435 0.357461i
\(726\) 26.6289 29.2557i 0.988290 1.08578i
\(727\) 24.8817 + 4.94928i 0.922812 + 0.183559i 0.633559 0.773694i \(-0.281593\pi\)
0.289253 + 0.957253i \(0.406593\pi\)
\(728\) 10.5284 21.8992i 0.390207 0.811639i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) 6.20736 + 25.0058i 0.229745 + 0.925505i
\(731\) −11.1519 + 13.5886i −0.412468 + 0.502594i
\(732\) −0.413538 + 1.34275i −0.0152848 + 0.0496294i
\(733\) −14.2090 7.59488i −0.524822 0.280523i 0.187635 0.982239i \(-0.439918\pi\)
−0.712457 + 0.701716i \(0.752418\pi\)
\(734\) 17.1579 15.4850i 0.633311 0.571561i
\(735\) 8.96370 + 8.96370i 0.330631 + 0.330631i
\(736\) 26.9671 23.9263i 0.994020 0.881934i
\(737\) −24.8272 + 24.8272i −0.914523 + 0.914523i
\(738\) 0.0880161 1.71738i 0.00323992 0.0632175i
\(739\) −12.5039 + 23.3931i −0.459963 + 0.860531i 0.539860 + 0.841755i \(0.318477\pi\)
−0.999824 + 0.0187762i \(0.994023\pi\)
\(740\) 3.16678 + 33.6120i 0.116413 + 1.23560i
\(741\) 13.7786 + 11.3078i 0.506170 + 0.415403i
\(742\) 7.68740 12.7643i 0.282214 0.468591i
\(743\) −26.2011 + 5.21173i −0.961226 + 0.191200i −0.650675 0.759357i \(-0.725514\pi\)
−0.310552 + 0.950557i \(0.600514\pi\)
\(744\) 6.20954 + 1.59741i 0.227653 + 0.0585639i
\(745\) −7.40496 + 37.2272i −0.271297 + 1.36390i
\(746\) 0.880419 + 18.7308i 0.0322344 + 0.685783i
\(747\) −11.5053 3.49008i −0.420955 0.127695i
\(748\) 37.7227 + 38.0437i 1.37928 + 1.39102i
\(749\) 5.68315 4.66404i 0.207658 0.170420i
\(750\) 1.38450 + 9.47175i 0.0505549 + 0.345859i
\(751\) 40.2506 + 16.6723i 1.46876 + 0.608382i 0.966577 0.256377i \(-0.0825288\pi\)
0.502187 + 0.864759i \(0.332529\pi\)
\(752\) 38.3079 + 26.0687i 1.39695 + 0.950627i
\(753\) 22.1083 9.15756i 0.805672 0.333720i
\(754\) −16.0078 26.8362i −0.582971 0.977317i
\(755\) 1.62390 + 0.159940i 0.0590999 + 0.00582083i
\(756\) −2.55904 1.72562i −0.0930715 0.0627603i
\(757\) 40.0262 21.3944i 1.45478 0.777594i 0.460833 0.887487i \(-0.347551\pi\)
0.993943 + 0.109893i \(0.0350507\pi\)
\(758\) 24.2267 + 8.72639i 0.879954 + 0.316957i
\(759\) −33.0806 + 22.1038i −1.20075 + 0.802316i
\(760\) −21.2404 12.9151i −0.770469 0.468482i
\(761\) 14.1463 21.1714i 0.512801 0.767461i −0.481226 0.876597i \(-0.659808\pi\)
0.994027 + 0.109136i \(0.0348082\pi\)
\(762\) −16.7380 2.51910i −0.606355 0.0912573i
\(763\) −1.18520 12.0336i −0.0429072 0.435644i
\(764\) −34.0816 + 27.7293i −1.23303 + 1.00321i
\(765\) −3.41893 11.2707i −0.123612 0.407493i
\(766\) −10.4222 + 21.9156i −0.376569 + 0.791844i
\(767\) 69.3895 2.50551
\(768\) −1.83785 + 15.8941i −0.0663177 + 0.573529i
\(769\) 8.22516 0.296607 0.148304 0.988942i \(-0.452619\pi\)
0.148304 + 0.988942i \(0.452619\pi\)
\(770\) 16.0612 33.7733i 0.578806 1.21711i
\(771\) −7.84327 25.8558i −0.282468 0.931174i
\(772\) 21.6904 17.6476i 0.780654 0.635151i
\(773\) −3.09827 31.4573i −0.111437 1.13144i −0.874470 0.485079i \(-0.838791\pi\)