Properties

Label 216.2.t.a.157.9
Level $216$
Weight $2$
Character 216.157
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 157.9
Character \(\chi\) \(=\) 216.157
Dual form 216.2.t.a.205.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03448 - 0.964291i) q^{2} +(-0.759610 + 1.55660i) q^{3} +(0.140286 + 1.99507i) q^{4} +(-0.857221 - 2.35519i) q^{5} +(2.28681 - 0.877779i) q^{6} +(0.442985 + 2.51229i) q^{7} +(1.77871 - 2.19914i) q^{8} +(-1.84598 - 2.36481i) q^{9} +O(q^{10})\) \(q+(-1.03448 - 0.964291i) q^{2} +(-0.759610 + 1.55660i) q^{3} +(0.140286 + 1.99507i) q^{4} +(-0.857221 - 2.35519i) q^{5} +(2.28681 - 0.877779i) q^{6} +(0.442985 + 2.51229i) q^{7} +(1.77871 - 2.19914i) q^{8} +(-1.84598 - 2.36481i) q^{9} +(-1.38432 + 3.26301i) q^{10} +(-1.32995 + 3.65402i) q^{11} +(-3.21209 - 1.29711i) q^{12} +(-1.81187 + 2.15930i) q^{13} +(1.96432 - 3.02608i) q^{14} +(4.31724 + 0.454683i) q^{15} +(-3.96064 + 0.559764i) q^{16} +(-3.79287 + 6.56945i) q^{17} +(-0.370738 + 4.22641i) q^{18} +(-4.25574 + 2.45705i) q^{19} +(4.57853 - 2.04062i) q^{20} +(-4.24712 - 1.21881i) q^{21} +(4.89934 - 2.49753i) q^{22} +(0.488755 - 2.77187i) q^{23} +(2.07204 + 4.43922i) q^{24} +(-0.981892 + 0.823905i) q^{25} +(3.95653 - 0.486580i) q^{26} +(5.08329 - 1.07712i) q^{27} +(-4.95007 + 1.23623i) q^{28} +(1.68216 + 2.00472i) q^{29} +(-4.02764 - 4.63344i) q^{30} +(0.605101 - 3.43170i) q^{31} +(4.63697 + 3.24015i) q^{32} +(-4.67758 - 4.84583i) q^{33} +(10.2585 - 3.13851i) q^{34} +(5.53721 - 3.19691i) q^{35} +(4.45901 - 4.01463i) q^{36} +(6.91267 + 3.99103i) q^{37} +(6.77178 + 1.56201i) q^{38} +(-1.98485 - 4.46058i) q^{39} +(-6.70414 - 2.30406i) q^{40} +(-7.68334 - 6.44709i) q^{41} +(3.21826 + 5.35630i) q^{42} +(-1.38824 + 3.81417i) q^{43} +(-7.47660 - 2.14075i) q^{44} +(-3.98718 + 6.37482i) q^{45} +(-3.17849 + 2.39613i) q^{46} +(1.48461 + 8.41962i) q^{47} +(2.13722 - 6.59032i) q^{48} +(0.462463 - 0.168323i) q^{49} +(1.81023 + 0.0945182i) q^{50} +(-7.34487 - 10.8942i) q^{51} +(-4.56215 - 3.31189i) q^{52} -11.8427i q^{53} +(-6.29720 - 3.78751i) q^{54} +9.74598 q^{55} +(6.31282 + 3.49445i) q^{56} +(-0.591936 - 8.49088i) q^{57} +(0.192977 - 3.69593i) q^{58} +(-0.584688 - 1.60642i) q^{59} +(-0.301476 + 8.67700i) q^{60} +(-0.343677 + 0.0605995i) q^{61} +(-3.93512 + 2.96652i) q^{62} +(5.12336 - 5.68523i) q^{63} +(-1.67239 - 7.82324i) q^{64} +(6.63875 + 2.41631i) q^{65} +(0.166065 + 9.52345i) q^{66} +(1.45040 - 1.72852i) q^{67} +(-13.6386 - 6.64546i) q^{68} +(3.94342 + 2.86633i) q^{69} +(-8.81086 - 2.03235i) q^{70} +(-2.53118 + 4.38413i) q^{71} +(-8.48401 - 0.146742i) q^{72} +(1.34818 + 2.33512i) q^{73} +(-3.30248 - 10.7945i) q^{74} +(-0.536633 - 2.15426i) q^{75} +(-5.49903 - 8.14583i) q^{76} +(-9.76911 - 1.72256i) q^{77} +(-2.24801 + 6.52834i) q^{78} +(-0.652898 + 0.547847i) q^{79} +(4.71349 + 8.84824i) q^{80} +(-2.18468 + 8.73082i) q^{81} +(1.73137 + 14.0783i) q^{82} +(5.59873 + 6.67230i) q^{83} +(1.83581 - 8.64431i) q^{84} +(18.7237 + 3.30149i) q^{85} +(5.11408 - 2.60700i) q^{86} +(-4.39832 + 1.09564i) q^{87} +(5.67008 + 9.42417i) q^{88} +(3.02691 + 5.24277i) q^{89} +(10.2718 - 2.74981i) q^{90} +(-6.22743 - 3.59541i) q^{91} +(5.59865 + 0.586247i) q^{92} +(4.88213 + 3.54865i) q^{93} +(6.58317 - 10.1415i) q^{94} +(9.43495 + 7.91686i) q^{95} +(-8.56589 + 4.75664i) q^{96} +(4.71115 + 1.71472i) q^{97} +(-0.640719 - 0.271823i) q^{98} +(11.0961 - 3.60017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 3 q^{8} - 12 q^{9} + O(q^{10}) \) \( 204 q - 6 q^{2} - 6 q^{4} - 6 q^{6} - 12 q^{7} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 3 q^{12} - 21 q^{14} - 12 q^{15} - 6 q^{16} - 6 q^{17} - 27 q^{18} + 15 q^{20} - 6 q^{22} - 12 q^{23} - 12 q^{25} - 30 q^{26} - 12 q^{28} - 39 q^{30} - 12 q^{31} - 36 q^{32} - 36 q^{36} - 42 q^{38} - 12 q^{39} - 21 q^{40} - 24 q^{41} - 66 q^{42} + 21 q^{44} - 3 q^{46} - 12 q^{47} + 51 q^{48} - 12 q^{49} - 99 q^{50} - 33 q^{52} - 90 q^{54} - 24 q^{55} + 99 q^{56} - 30 q^{57} + 21 q^{58} + 102 q^{60} - 36 q^{62} - 72 q^{63} - 3 q^{64} - 12 q^{65} - 9 q^{66} + 75 q^{68} + 9 q^{70} - 90 q^{71} + 60 q^{72} - 6 q^{73} + 9 q^{74} - 18 q^{76} + 12 q^{78} - 12 q^{79} + 78 q^{80} - 12 q^{81} - 12 q^{82} + 102 q^{84} - 30 q^{86} - 48 q^{87} - 30 q^{88} - 6 q^{89} + 6 q^{90} + 111 q^{92} - 33 q^{94} - 42 q^{95} + 126 q^{96} - 12 q^{97} + 54 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03448 0.964291i −0.731486 0.681857i
\(3\) −0.759610 + 1.55660i −0.438561 + 0.898701i
\(4\) 0.140286 + 1.99507i 0.0701432 + 0.997537i
\(5\) −0.857221 2.35519i −0.383361 1.05328i −0.969932 0.243377i \(-0.921745\pi\)
0.586571 0.809898i \(-0.300478\pi\)
\(6\) 2.28681 0.877779i 0.933587 0.358352i
\(7\) 0.442985 + 2.51229i 0.167433 + 0.949558i 0.946521 + 0.322643i \(0.104571\pi\)
−0.779088 + 0.626915i \(0.784317\pi\)
\(8\) 1.77871 2.19914i 0.628868 0.777512i
\(9\) −1.84598 2.36481i −0.615328 0.788271i
\(10\) −1.38432 + 3.26301i −0.437760 + 1.03185i
\(11\) −1.32995 + 3.65402i −0.400996 + 1.10173i 0.560798 + 0.827953i \(0.310494\pi\)
−0.961794 + 0.273774i \(0.911728\pi\)
\(12\) −3.21209 1.29711i −0.927250 0.374443i
\(13\) −1.81187 + 2.15930i −0.502522 + 0.598883i −0.956356 0.292204i \(-0.905612\pi\)
0.453834 + 0.891086i \(0.350056\pi\)
\(14\) 1.96432 3.02608i 0.524988 0.808753i
\(15\) 4.31724 + 0.454683i 1.11471 + 0.117399i
\(16\) −3.96064 + 0.559764i −0.990160 + 0.139941i
\(17\) −3.79287 + 6.56945i −0.919907 + 1.59333i −0.120352 + 0.992731i \(0.538402\pi\)
−0.799554 + 0.600594i \(0.794931\pi\)
\(18\) −0.370738 + 4.22641i −0.0873838 + 0.996175i
\(19\) −4.25574 + 2.45705i −0.976334 + 0.563687i −0.901161 0.433484i \(-0.857284\pi\)
−0.0751728 + 0.997171i \(0.523951\pi\)
\(20\) 4.57853 2.04062i 1.02379 0.456297i
\(21\) −4.24712 1.21881i −0.926798 0.265967i
\(22\) 4.89934 2.49753i 1.04454 0.532476i
\(23\) 0.488755 2.77187i 0.101912 0.577974i −0.890496 0.454991i \(-0.849643\pi\)
0.992409 0.122984i \(-0.0392463\pi\)
\(24\) 2.07204 + 4.43922i 0.422954 + 0.906151i
\(25\) −0.981892 + 0.823905i −0.196378 + 0.164781i
\(26\) 3.95653 0.486580i 0.775940 0.0954262i
\(27\) 5.08329 1.07712i 0.978279 0.207291i
\(28\) −4.95007 + 1.23623i −0.935475 + 0.233625i
\(29\) 1.68216 + 2.00472i 0.312369 + 0.372267i 0.899272 0.437391i \(-0.144097\pi\)
−0.586903 + 0.809658i \(0.699653\pi\)
\(30\) −4.02764 4.63344i −0.735343 0.845946i
\(31\) 0.605101 3.43170i 0.108679 0.616351i −0.881007 0.473103i \(-0.843134\pi\)
0.989687 0.143249i \(-0.0457549\pi\)
\(32\) 4.63697 + 3.24015i 0.819708 + 0.572782i
\(33\) −4.67758 4.84583i −0.814262 0.843550i
\(34\) 10.2585 3.13851i 1.75932 0.538250i
\(35\) 5.53721 3.19691i 0.935958 0.540376i
\(36\) 4.45901 4.01463i 0.743168 0.669105i
\(37\) 6.91267 + 3.99103i 1.13644 + 0.656121i 0.945545 0.325490i \(-0.105529\pi\)
0.190890 + 0.981611i \(0.438863\pi\)
\(38\) 6.77178 + 1.56201i 1.09853 + 0.253391i
\(39\) −1.98485 4.46058i −0.317830 0.714264i
\(40\) −6.70414 2.30406i −1.06002 0.364304i
\(41\) −7.68334 6.44709i −1.19994 1.00687i −0.999632 0.0271328i \(-0.991362\pi\)
−0.200305 0.979734i \(-0.564193\pi\)
\(42\) 3.21826 + 5.35630i 0.496588 + 0.826495i
\(43\) −1.38824 + 3.81417i −0.211705 + 0.581655i −0.999408 0.0343999i \(-0.989048\pi\)
0.787703 + 0.616055i \(0.211270\pi\)
\(44\) −7.47660 2.14075i −1.12714 0.322729i
\(45\) −3.98718 + 6.37482i −0.594373 + 0.950302i
\(46\) −3.17849 + 2.39613i −0.468643 + 0.353290i
\(47\) 1.48461 + 8.41962i 0.216552 + 1.22813i 0.878193 + 0.478307i \(0.158749\pi\)
−0.661641 + 0.749821i \(0.730140\pi\)
\(48\) 2.13722 6.59032i 0.308481 0.951231i
\(49\) 0.462463 0.168323i 0.0660661 0.0240461i
\(50\) 1.81023 + 0.0945182i 0.256005 + 0.0133669i
\(51\) −7.34487 10.8942i −1.02849 1.52549i
\(52\) −4.56215 3.31189i −0.632656 0.459277i
\(53\) 11.8427i 1.62672i −0.581762 0.813359i \(-0.697637\pi\)
0.581762 0.813359i \(-0.302363\pi\)
\(54\) −6.29720 3.78751i −0.856940 0.515415i
\(55\) 9.74598 1.31415
\(56\) 6.31282 + 3.49445i 0.843586 + 0.466966i
\(57\) −0.591936 8.49088i −0.0784039 1.12464i
\(58\) 0.192977 3.69593i 0.0253391 0.485299i
\(59\) −0.584688 1.60642i −0.0761199 0.209138i 0.895796 0.444465i \(-0.146606\pi\)
−0.971916 + 0.235327i \(0.924384\pi\)
\(60\) −0.301476 + 8.67700i −0.0389204 + 1.12020i
\(61\) −0.343677 + 0.0605995i −0.0440033 + 0.00775897i −0.195606 0.980682i \(-0.562668\pi\)
0.151603 + 0.988441i \(0.451556\pi\)
\(62\) −3.93512 + 2.96652i −0.499761 + 0.376748i
\(63\) 5.12336 5.68523i 0.645483 0.716272i
\(64\) −1.67239 7.82324i −0.209049 0.977905i
\(65\) 6.63875 + 2.41631i 0.823436 + 0.299706i
\(66\) 0.166065 + 9.52345i 0.0204412 + 1.17226i
\(67\) 1.45040 1.72852i 0.177195 0.211173i −0.670135 0.742239i \(-0.733764\pi\)
0.847330 + 0.531066i \(0.178208\pi\)
\(68\) −13.6386 6.64546i −1.65393 0.805880i
\(69\) 3.94342 + 2.86633i 0.474731 + 0.345066i
\(70\) −8.81086 2.03235i −1.05310 0.242912i
\(71\) −2.53118 + 4.38413i −0.300396 + 0.520301i −0.976226 0.216757i \(-0.930452\pi\)
0.675830 + 0.737058i \(0.263785\pi\)
\(72\) −8.48401 0.146742i −0.999850 0.0172937i
\(73\) 1.34818 + 2.33512i 0.157793 + 0.273305i 0.934072 0.357083i \(-0.116229\pi\)
−0.776280 + 0.630389i \(0.782895\pi\)
\(74\) −3.30248 10.7945i −0.383906 1.25483i
\(75\) −0.536633 2.15426i −0.0619650 0.248752i
\(76\) −5.49903 8.14583i −0.630782 0.934391i
\(77\) −9.76911 1.72256i −1.11329 0.196304i
\(78\) −2.24801 + 6.52834i −0.254538 + 0.739189i
\(79\) −0.652898 + 0.547847i −0.0734568 + 0.0616376i −0.678777 0.734345i \(-0.737490\pi\)
0.605320 + 0.795982i \(0.293045\pi\)
\(80\) 4.71349 + 8.84824i 0.526985 + 0.989263i
\(81\) −2.18468 + 8.73082i −0.242742 + 0.970091i
\(82\) 1.73137 + 14.0783i 0.191198 + 1.55469i
\(83\) 5.59873 + 6.67230i 0.614540 + 0.732380i 0.980121 0.198399i \(-0.0635742\pi\)
−0.365581 + 0.930779i \(0.619130\pi\)
\(84\) 1.83581 8.64431i 0.200303 0.943171i
\(85\) 18.7237 + 3.30149i 2.03087 + 0.358096i
\(86\) 5.11408 2.60700i 0.551465 0.281120i
\(87\) −4.39832 + 1.09564i −0.471550 + 0.117465i
\(88\) 5.67008 + 9.42417i 0.604432 + 1.00462i
\(89\) 3.02691 + 5.24277i 0.320852 + 0.555732i 0.980664 0.195698i \(-0.0626974\pi\)
−0.659812 + 0.751431i \(0.729364\pi\)
\(90\) 10.2718 2.74981i 1.08275 0.289855i
\(91\) −6.22743 3.59541i −0.652812 0.376901i
\(92\) 5.59865 + 0.586247i 0.583699 + 0.0611205i
\(93\) 4.88213 + 3.54865i 0.506253 + 0.367978i
\(94\) 6.58317 10.1415i 0.679002 1.04602i
\(95\) 9.43495 + 7.91686i 0.968006 + 0.812253i
\(96\) −8.56589 + 4.75664i −0.874252 + 0.485472i
\(97\) 4.71115 + 1.71472i 0.478344 + 0.174103i 0.569929 0.821694i \(-0.306971\pi\)
−0.0915842 + 0.995797i \(0.529193\pi\)
\(98\) −0.640719 0.271823i −0.0647224 0.0274582i
\(99\) 11.0961 3.60017i 1.11520 0.361830i
\(100\) −1.78150 1.84336i −0.178150 0.184336i
\(101\) 1.06482 0.187757i 0.105954 0.0186825i −0.120420 0.992723i \(-0.538424\pi\)
0.226374 + 0.974041i \(0.427313\pi\)
\(102\) −2.90706 + 18.3524i −0.287842 + 1.81716i
\(103\) 10.4356 3.79825i 1.02825 0.374252i 0.227836 0.973700i \(-0.426835\pi\)
0.800414 + 0.599447i \(0.204613\pi\)
\(104\) 1.52581 + 7.82532i 0.149618 + 0.767335i
\(105\) 0.770176 + 11.0476i 0.0751615 + 1.07814i
\(106\) −11.4198 + 12.2510i −1.10919 + 1.18992i
\(107\) 12.1144i 1.17114i 0.810622 + 0.585570i \(0.199129\pi\)
−0.810622 + 0.585570i \(0.800871\pi\)
\(108\) 2.86205 + 9.99043i 0.275400 + 0.961330i
\(109\) 19.5560i 1.87312i −0.350502 0.936562i \(-0.613989\pi\)
0.350502 0.936562i \(-0.386011\pi\)
\(110\) −10.0820 9.39796i −0.961281 0.896060i
\(111\) −11.4634 + 7.72861i −1.08805 + 0.733567i
\(112\) −3.16080 9.70232i −0.298667 0.916783i
\(113\) −5.58697 + 2.03349i −0.525578 + 0.191295i −0.591163 0.806552i \(-0.701331\pi\)
0.0655850 + 0.997847i \(0.479109\pi\)
\(114\) −7.57533 + 9.35442i −0.709495 + 0.876121i
\(115\) −6.94726 + 1.22499i −0.647835 + 0.114231i
\(116\) −3.76358 + 3.63727i −0.349440 + 0.337712i
\(117\) 8.45103 + 0.298694i 0.781298 + 0.0276143i
\(118\) −0.944206 + 2.22561i −0.0869212 + 0.204884i
\(119\) −18.1846 6.61864i −1.66698 0.606730i
\(120\) 8.67902 8.68545i 0.792283 0.792869i
\(121\) −3.15656 2.64867i −0.286960 0.240788i
\(122\) 0.413961 + 0.268715i 0.0374783 + 0.0243284i
\(123\) 15.8719 7.06259i 1.43112 0.636812i
\(124\) 6.93138 + 0.725800i 0.622456 + 0.0651788i
\(125\) −8.07064 4.65959i −0.721860 0.416766i
\(126\) −10.7822 + 0.940835i −0.960556 + 0.0838162i
\(127\) 6.21113 + 10.7580i 0.551148 + 0.954617i 0.998192 + 0.0601050i \(0.0191435\pi\)
−0.447044 + 0.894512i \(0.647523\pi\)
\(128\) −5.81383 + 9.70564i −0.513874 + 0.857865i
\(129\) −4.88260 5.05822i −0.429889 0.445351i
\(130\) −4.53761 8.90130i −0.397975 0.780696i
\(131\) −0.306951 0.0541237i −0.0268184 0.00472881i 0.160223 0.987081i \(-0.448779\pi\)
−0.187041 + 0.982352i \(0.559890\pi\)
\(132\) 9.01158 10.0119i 0.784357 0.871426i
\(133\) −8.05807 9.60324i −0.698724 0.832706i
\(134\) −3.16721 + 0.389507i −0.273605 + 0.0336483i
\(135\) −6.89432 11.0488i −0.593369 0.950930i
\(136\) 7.70069 + 20.0262i 0.660329 + 1.71723i
\(137\) 4.88568 4.09957i 0.417412 0.350250i −0.409766 0.912191i \(-0.634390\pi\)
0.827177 + 0.561941i \(0.189945\pi\)
\(138\) −1.31540 6.76776i −0.111974 0.576110i
\(139\) −5.04955 0.890371i −0.428297 0.0755203i −0.0446555 0.999002i \(-0.514219\pi\)
−0.383641 + 0.923482i \(0.625330\pi\)
\(140\) 7.15486 + 10.5987i 0.604696 + 0.895749i
\(141\) −14.2337 4.08470i −1.19869 0.343994i
\(142\) 6.84603 2.09449i 0.574506 0.175766i
\(143\) −5.48042 9.49237i −0.458296 0.793792i
\(144\) 8.63502 + 8.33286i 0.719585 + 0.694405i
\(145\) 3.27952 5.68030i 0.272350 0.471723i
\(146\) 0.857071 3.71567i 0.0709317 0.307511i
\(147\) −0.0892810 + 0.847728i −0.00736377 + 0.0699194i
\(148\) −6.99265 + 14.3512i −0.574792 + 1.17966i
\(149\) −1.33347 + 1.58917i −0.109242 + 0.130190i −0.817895 0.575368i \(-0.804859\pi\)
0.708653 + 0.705558i \(0.249303\pi\)
\(150\) −1.52219 + 2.74600i −0.124287 + 0.224210i
\(151\) −22.6819 8.25555i −1.84583 0.671827i −0.987257 0.159134i \(-0.949130\pi\)
−0.858572 0.512693i \(-0.828648\pi\)
\(152\) −2.16633 + 13.7293i −0.175713 + 1.11360i
\(153\) 22.5371 3.15767i 1.82202 0.255282i
\(154\) 8.44488 + 11.2022i 0.680508 + 0.902700i
\(155\) −8.60102 + 1.51659i −0.690851 + 0.121816i
\(156\) 8.62074 4.58568i 0.690211 0.367148i
\(157\) 2.97797 + 8.18190i 0.237668 + 0.652987i 0.999983 + 0.00578127i \(0.00184025\pi\)
−0.762316 + 0.647206i \(0.775938\pi\)
\(158\) 1.20369 + 0.0628488i 0.0957606 + 0.00499998i
\(159\) 18.4343 + 8.99582i 1.46193 + 0.713415i
\(160\) 3.65627 13.6985i 0.289053 1.08296i
\(161\) 7.18026 0.565883
\(162\) 10.6790 6.92517i 0.839025 0.544092i
\(163\) 6.44084i 0.504485i −0.967664 0.252243i \(-0.918832\pi\)
0.967664 0.252243i \(-0.0811681\pi\)
\(164\) 11.7846 16.2333i 0.920219 1.26761i
\(165\) −7.40315 + 15.1706i −0.576334 + 1.18103i
\(166\) 0.642285 12.3011i 0.0498510 0.954754i
\(167\) −13.4013 + 4.87768i −1.03703 + 0.377446i −0.803752 0.594965i \(-0.797166\pi\)
−0.233273 + 0.972411i \(0.574944\pi\)
\(168\) −10.2347 + 7.17209i −0.789627 + 0.553338i
\(169\) 0.877712 + 4.97775i 0.0675163 + 0.382904i
\(170\) −16.1856 21.4704i −1.24138 1.64670i
\(171\) 13.6665 + 5.52835i 1.04510 + 0.422764i
\(172\) −7.80430 2.23457i −0.595072 0.170385i
\(173\) −3.39321 + 9.32276i −0.257981 + 0.708796i 0.741311 + 0.671162i \(0.234204\pi\)
−0.999292 + 0.0376343i \(0.988018\pi\)
\(174\) 5.60648 + 3.10785i 0.425026 + 0.235606i
\(175\) −2.50486 2.10182i −0.189349 0.158883i
\(176\) 3.22208 15.2167i 0.242873 1.14700i
\(177\) 2.94468 + 0.310127i 0.221335 + 0.0233106i
\(178\) 1.92428 8.34235i 0.144231 0.625286i
\(179\) 8.28116 + 4.78113i 0.618963 + 0.357359i 0.776465 0.630160i \(-0.217011\pi\)
−0.157502 + 0.987519i \(0.550344\pi\)
\(180\) −13.2776 7.06041i −0.989653 0.526252i
\(181\) 4.60888 2.66094i 0.342575 0.197786i −0.318835 0.947810i \(-0.603292\pi\)
0.661410 + 0.750024i \(0.269958\pi\)
\(182\) 2.97512 + 9.72443i 0.220530 + 0.720823i
\(183\) 0.166731 0.580998i 0.0123251 0.0429486i
\(184\) −5.22636 6.00518i −0.385292 0.442708i
\(185\) 3.47397 19.7019i 0.255411 1.44851i
\(186\) −1.62852 8.37879i −0.119409 0.614363i
\(187\) −18.9605 22.5963i −1.38653 1.65240i
\(188\) −16.5895 + 4.14306i −1.20991 + 0.302164i
\(189\) 4.95786 + 12.2936i 0.360631 + 0.894225i
\(190\) −2.12608 17.2879i −0.154242 1.25419i
\(191\) 3.17518 2.66429i 0.229748 0.192781i −0.520645 0.853773i \(-0.674309\pi\)
0.750393 + 0.660992i \(0.229864\pi\)
\(192\) 13.4480 + 3.33937i 0.970526 + 0.240998i
\(193\) −3.12735 + 17.7361i −0.225112 + 1.27667i 0.637360 + 0.770566i \(0.280027\pi\)
−0.862472 + 0.506106i \(0.831085\pi\)
\(194\) −3.22009 6.31675i −0.231189 0.453516i
\(195\) −8.80408 + 8.49840i −0.630473 + 0.608583i
\(196\) 0.400694 + 0.899034i 0.0286210 + 0.0642167i
\(197\) 13.4165 7.74604i 0.955888 0.551882i 0.0609831 0.998139i \(-0.480576\pi\)
0.894905 + 0.446256i \(0.147243\pi\)
\(198\) −14.9503 6.97561i −1.06247 0.495735i
\(199\) −8.79403 + 15.2317i −0.623392 + 1.07975i 0.365457 + 0.930828i \(0.380913\pi\)
−0.988849 + 0.148919i \(0.952421\pi\)
\(200\) 0.0653798 + 3.62480i 0.00462305 + 0.256312i
\(201\) 1.58887 + 3.57070i 0.112070 + 0.251857i
\(202\) −1.28259 0.832567i −0.0902424 0.0585792i
\(203\) −4.29127 + 5.11414i −0.301188 + 0.358942i
\(204\) 20.7043 16.1819i 1.44959 1.13296i
\(205\) −8.59783 + 23.6223i −0.600499 + 1.64986i
\(206\) −14.4580 6.13375i −1.00734 0.427359i
\(207\) −7.45718 + 3.96101i −0.518310 + 0.275309i
\(208\) 5.96746 9.56644i 0.413769 0.663313i
\(209\) −3.31818 18.8183i −0.229523 1.30169i
\(210\) 9.85637 12.1712i 0.680154 0.839890i
\(211\) 8.41203 + 23.1119i 0.579108 + 1.59109i 0.789687 + 0.613510i \(0.210243\pi\)
−0.210579 + 0.977577i \(0.567535\pi\)
\(212\) 23.6270 1.66137i 1.62271 0.114103i
\(213\) −4.90162 7.27026i −0.335853 0.498150i
\(214\) 11.6818 12.5320i 0.798549 0.856672i
\(215\) 10.1731 0.693803
\(216\) 6.67296 13.0947i 0.454037 0.890983i
\(217\) 8.88949 0.603458
\(218\) −18.8577 + 20.2302i −1.27720 + 1.37016i
\(219\) −4.65894 + 0.324795i −0.314822 + 0.0219476i
\(220\) 1.36723 + 19.4440i 0.0921786 + 1.31091i
\(221\) −7.31323 20.0929i −0.491941 1.35160i
\(222\) 19.3112 + 3.05894i 1.29608 + 0.205303i
\(223\) −2.95087 16.7352i −0.197605 1.12067i −0.908660 0.417537i \(-0.862893\pi\)
0.711055 0.703136i \(-0.248218\pi\)
\(224\) −6.08609 + 13.0848i −0.406644 + 0.874262i
\(225\) 3.76094 + 0.801074i 0.250729 + 0.0534050i
\(226\) 7.74046 + 3.28386i 0.514888 + 0.218439i
\(227\) −3.04973 + 8.37907i −0.202418 + 0.556138i −0.998817 0.0486333i \(-0.984513\pi\)
0.796399 + 0.604772i \(0.206736\pi\)
\(228\) 16.8569 2.37211i 1.11637 0.157097i
\(229\) −1.06473 + 1.26890i −0.0703594 + 0.0838511i −0.800076 0.599899i \(-0.795208\pi\)
0.729717 + 0.683750i \(0.239652\pi\)
\(230\) 8.36803 + 5.43195i 0.551771 + 0.358172i
\(231\) 10.1020 13.8981i 0.664666 0.914427i
\(232\) 7.40072 0.133485i 0.485881 0.00876374i
\(233\) −7.11806 + 12.3288i −0.466320 + 0.807689i −0.999260 0.0384635i \(-0.987754\pi\)
0.532940 + 0.846153i \(0.321087\pi\)
\(234\) −8.45437 8.45824i −0.552680 0.552933i
\(235\) 18.5572 10.7140i 1.21054 0.698905i
\(236\) 3.12290 1.39185i 0.203283 0.0906020i
\(237\) −0.356828 1.43245i −0.0231785 0.0930475i
\(238\) 12.4292 + 24.3820i 0.805667 + 1.58045i
\(239\) 3.00714 17.0544i 0.194516 1.10316i −0.718590 0.695434i \(-0.755212\pi\)
0.913106 0.407722i \(-0.133677\pi\)
\(240\) −17.3535 + 0.615799i −1.12017 + 0.0397497i
\(241\) 16.9856 14.2526i 1.09414 0.918090i 0.0971195 0.995273i \(-0.469037\pi\)
0.997017 + 0.0771832i \(0.0245926\pi\)
\(242\) 0.711304 + 5.78384i 0.0457244 + 0.371799i
\(243\) −11.9309 10.0327i −0.765365 0.643597i
\(244\) −0.169114 0.677159i −0.0108264 0.0433507i
\(245\) −0.792866 0.944900i −0.0506543 0.0603675i
\(246\) −23.2295 7.99900i −1.48106 0.509998i
\(247\) 2.40533 13.6413i 0.153047 0.867975i
\(248\) −6.47047 7.43469i −0.410875 0.472103i
\(249\) −14.6389 + 3.64661i −0.927705 + 0.231094i
\(250\) 3.85570 + 12.6027i 0.243856 + 0.797064i
\(251\) 5.87413 3.39143i 0.370772 0.214065i −0.303024 0.952983i \(-0.597996\pi\)
0.673796 + 0.738918i \(0.264663\pi\)
\(252\) 12.0612 + 9.42392i 0.759784 + 0.593651i
\(253\) 9.47842 + 5.47237i 0.595903 + 0.344045i
\(254\) 3.94856 17.1182i 0.247755 1.07409i
\(255\) −19.3618 + 26.6373i −1.21248 + 1.66809i
\(256\) 15.3733 4.43404i 0.960833 0.277128i
\(257\) 17.7134 + 14.8633i 1.10493 + 0.927148i 0.997747 0.0670910i \(-0.0213718\pi\)
0.107185 + 0.994239i \(0.465816\pi\)
\(258\) 0.173344 + 9.94086i 0.0107919 + 0.618891i
\(259\) −6.96443 + 19.1346i −0.432749 + 1.18897i
\(260\) −3.88938 + 13.5838i −0.241209 + 0.842430i
\(261\) 1.63555 7.67867i 0.101238 0.475298i
\(262\) 0.265342 + 0.351979i 0.0163929 + 0.0217454i
\(263\) 0.367614 + 2.08484i 0.0226680 + 0.128557i 0.994042 0.108999i \(-0.0347647\pi\)
−0.971374 + 0.237556i \(0.923654\pi\)
\(264\) −18.9767 + 1.66732i −1.16793 + 0.102617i
\(265\) −27.8918 + 10.1518i −1.71338 + 0.623620i
\(266\) −0.924420 + 17.7047i −0.0566798 + 1.08554i
\(267\) −10.4602 + 0.729223i −0.640151 + 0.0446277i
\(268\) 3.65200 + 2.65117i 0.223082 + 0.161946i
\(269\) 25.6896i 1.56632i 0.621820 + 0.783161i \(0.286394\pi\)
−0.621820 + 0.783161i \(0.713606\pi\)
\(270\) −3.52224 + 18.0779i −0.214357 + 1.10018i
\(271\) −27.3036 −1.65857 −0.829287 0.558823i \(-0.811253\pi\)
−0.829287 + 0.558823i \(0.811253\pi\)
\(272\) 11.3449 28.1423i 0.687883 1.70638i
\(273\) 10.3270 6.96249i 0.625020 0.421389i
\(274\) −9.00730 0.470302i −0.544151 0.0284120i
\(275\) −1.70469 4.68360i −0.102797 0.282432i
\(276\) −5.16534 + 8.26951i −0.310917 + 0.497766i
\(277\) 16.2093 2.85814i 0.973923 0.171729i 0.336028 0.941852i \(-0.390916\pi\)
0.637895 + 0.770123i \(0.279805\pi\)
\(278\) 4.36506 + 5.79030i 0.261799 + 0.347279i
\(279\) −9.23233 + 4.90391i −0.552725 + 0.293590i
\(280\) 2.81864 17.8634i 0.168446 1.06754i
\(281\) 27.1438 + 9.87955i 1.61927 + 0.589364i 0.983242 0.182305i \(-0.0583560\pi\)
0.636023 + 0.771670i \(0.280578\pi\)
\(282\) 10.7856 + 17.9509i 0.642272 + 1.06896i
\(283\) −2.37158 + 2.82634i −0.140976 + 0.168009i −0.831913 0.554907i \(-0.812754\pi\)
0.690937 + 0.722915i \(0.257198\pi\)
\(284\) −9.10176 4.43486i −0.540090 0.263160i
\(285\) −19.4902 + 8.67268i −1.15450 + 0.513725i
\(286\) −3.48403 + 15.1044i −0.206015 + 0.893140i
\(287\) 12.7934 22.1588i 0.755169 1.30799i
\(288\) −0.897432 16.9468i −0.0528817 0.998601i
\(289\) −20.2718 35.1117i −1.19246 2.06540i
\(290\) −8.87005 + 2.71373i −0.520867 + 0.159356i
\(291\) −6.24776 + 6.03084i −0.366250 + 0.353534i
\(292\) −4.46961 + 3.01731i −0.261564 + 0.176575i
\(293\) 12.6127 + 2.22395i 0.736840 + 0.129925i 0.529459 0.848336i \(-0.322395\pi\)
0.207381 + 0.978260i \(0.433506\pi\)
\(294\) 0.909815 0.790862i 0.0530615 0.0461240i
\(295\) −3.28222 + 2.75411i −0.191098 + 0.160350i
\(296\) 21.0724 8.10301i 1.22481 0.470978i
\(297\) −2.82473 + 20.0069i −0.163907 + 1.16092i
\(298\) 2.91186 0.358105i 0.168680 0.0207445i
\(299\) 5.09974 + 6.07763i 0.294926 + 0.351479i
\(300\) 4.22262 1.37283i 0.243793 0.0792607i
\(301\) −10.1973 1.79806i −0.587762 0.103638i
\(302\) 15.5032 + 30.4121i 0.892108 + 1.75002i
\(303\) −0.516588 + 1.80012i −0.0296772 + 0.103414i
\(304\) 15.4801 12.1137i 0.887844 0.694769i
\(305\) 0.437330 + 0.757478i 0.0250415 + 0.0433731i
\(306\) −26.3590 18.4658i −1.50685 1.05562i
\(307\) −16.6782 9.62914i −0.951873 0.549564i −0.0582108 0.998304i \(-0.518540\pi\)
−0.893662 + 0.448740i \(0.851873\pi\)
\(308\) 2.06616 19.7317i 0.117730 1.12432i
\(309\) −2.01465 + 19.1292i −0.114609 + 1.08822i
\(310\) 10.3600 + 6.72501i 0.588408 + 0.381955i
\(311\) 24.4635 + 20.5273i 1.38720 + 1.16400i 0.966460 + 0.256818i \(0.0826740\pi\)
0.420740 + 0.907181i \(0.361770\pi\)
\(312\) −13.3399 3.56912i −0.755222 0.202062i
\(313\) 5.47887 + 1.99414i 0.309684 + 0.112716i 0.492187 0.870490i \(-0.336198\pi\)
−0.182503 + 0.983205i \(0.558420\pi\)
\(314\) 4.80909 11.3356i 0.271393 0.639706i
\(315\) −17.7817 7.19301i −1.00188 0.405280i
\(316\) −1.18459 1.22572i −0.0666382 0.0689524i
\(317\) −10.5865 + 1.86668i −0.594595 + 0.104843i −0.462844 0.886440i \(-0.653171\pi\)
−0.131751 + 0.991283i \(0.542060\pi\)
\(318\) −10.3953 27.0820i −0.582937 1.51868i
\(319\) −9.56247 + 3.48045i −0.535395 + 0.194868i
\(320\) −16.9916 + 10.6451i −0.949862 + 0.595077i
\(321\) −18.8572 9.20220i −1.05251 0.513616i
\(322\) −7.42781 6.92386i −0.413936 0.385851i
\(323\) 37.2772i 2.07416i
\(324\) −17.7251 3.13378i −0.984728 0.174099i
\(325\) 3.61301i 0.200414i
\(326\) −6.21084 + 6.66290i −0.343987 + 0.369024i
\(327\) 30.4408 + 14.8549i 1.68338 + 0.821479i
\(328\) −27.8445 + 5.42922i −1.53745 + 0.299779i
\(329\) −20.4949 + 7.45953i −1.12992 + 0.411257i
\(330\) 22.2872 8.55481i 1.22687 0.470927i
\(331\) 17.6652 3.11484i 0.970965 0.171207i 0.334400 0.942431i \(-0.391466\pi\)
0.636564 + 0.771224i \(0.280355\pi\)
\(332\) −12.5263 + 12.1059i −0.687471 + 0.664398i
\(333\) −3.32264 23.7145i −0.182079 1.29955i
\(334\) 18.5669 + 7.87692i 1.01593 + 0.431006i
\(335\) −5.31432 1.93426i −0.290353 0.105680i
\(336\) 17.5036 + 2.44990i 0.954898 + 0.133653i
\(337\) 1.36202 + 1.14287i 0.0741941 + 0.0622562i 0.679130 0.734018i \(-0.262357\pi\)
−0.604936 + 0.796274i \(0.706801\pi\)
\(338\) 3.89203 5.99574i 0.211698 0.326125i
\(339\) 1.07859 10.2413i 0.0585812 0.556232i
\(340\) −3.96003 + 37.8182i −0.214763 + 2.05098i
\(341\) 11.7347 + 6.77505i 0.635471 + 0.366889i
\(342\) −8.80676 18.8974i −0.476215 1.02186i
\(343\) 9.55642 + 16.5522i 0.515998 + 0.893735i
\(344\) 5.91859 + 9.83723i 0.319109 + 0.530388i
\(345\) 3.37039 11.7446i 0.181456 0.632307i
\(346\) 12.5000 6.37214i 0.672007 0.342569i
\(347\) −3.34069 0.589055i −0.179338 0.0316221i 0.0832579 0.996528i \(-0.473467\pi\)
−0.262596 + 0.964906i \(0.584579\pi\)
\(348\) −2.80290 8.62128i −0.150251 0.462149i
\(349\) −1.19141 1.41987i −0.0637747 0.0760038i 0.733214 0.679998i \(-0.238019\pi\)
−0.796989 + 0.603994i \(0.793575\pi\)
\(350\) 0.564447 + 4.58970i 0.0301710 + 0.245330i
\(351\) −6.88443 + 12.9280i −0.367464 + 0.690043i
\(352\) −18.0065 + 12.6343i −0.959749 + 0.673411i
\(353\) −10.5282 + 8.83425i −0.560362 + 0.470200i −0.878432 0.477868i \(-0.841410\pi\)
0.318070 + 0.948067i \(0.396965\pi\)
\(354\) −2.74715 3.16034i −0.146009 0.167970i
\(355\) 12.4953 + 2.20325i 0.663180 + 0.116937i
\(356\) −10.0351 + 6.77441i −0.531858 + 0.359043i
\(357\) 24.1157 23.2784i 1.27634 1.23203i
\(358\) −3.95627 12.9314i −0.209096 0.683447i
\(359\) −5.37668 9.31267i −0.283770 0.491504i 0.688540 0.725198i \(-0.258252\pi\)
−0.972310 + 0.233694i \(0.924919\pi\)
\(360\) 6.92707 + 20.1073i 0.365088 + 1.05975i
\(361\) 2.57423 4.45870i 0.135486 0.234668i
\(362\) −7.33370 1.69162i −0.385451 0.0889096i
\(363\) 6.52067 2.90154i 0.342247 0.152291i
\(364\) 6.29949 12.9286i 0.330183 0.677642i
\(365\) 4.34397 5.17695i 0.227374 0.270974i
\(366\) −0.732731 + 0.440251i −0.0383004 + 0.0230123i
\(367\) −10.2024 3.71337i −0.532562 0.193837i 0.0617202 0.998093i \(-0.480341\pi\)
−0.594282 + 0.804257i \(0.702564\pi\)
\(368\) −0.384192 + 11.2520i −0.0200274 + 0.586549i
\(369\) −1.06283 + 30.0709i −0.0553286 + 1.56543i
\(370\) −22.5921 + 17.0312i −1.17451 + 0.885411i
\(371\) 29.7523 5.24613i 1.54466 0.272366i
\(372\) −6.39492 + 10.2380i −0.331561 + 0.530817i
\(373\) −7.89812 21.6999i −0.408949 1.12358i −0.957744 0.287621i \(-0.907135\pi\)
0.548795 0.835957i \(-0.315087\pi\)
\(374\) −2.17515 + 41.6588i −0.112474 + 2.15412i
\(375\) 13.3836 9.02326i 0.691128 0.465959i
\(376\) 21.1566 + 11.7112i 1.09107 + 0.603959i
\(377\) −7.37665 −0.379917
\(378\) 6.72578 17.4982i 0.345937 0.900012i
\(379\) 19.1947i 0.985963i 0.870040 + 0.492982i \(0.164093\pi\)
−0.870040 + 0.492982i \(0.835907\pi\)
\(380\) −14.4711 + 19.9341i −0.742353 + 1.02260i
\(381\) −21.4639 + 1.49634i −1.09963 + 0.0766599i
\(382\) −5.85380 0.305647i −0.299506 0.0156382i
\(383\) 23.4828 8.54705i 1.19992 0.436734i 0.336722 0.941604i \(-0.390682\pi\)
0.863195 + 0.504870i \(0.168460\pi\)
\(384\) −10.6915 16.4223i −0.545599 0.838046i
\(385\) 4.31733 + 24.4848i 0.220031 + 1.24786i
\(386\) 20.3379 15.3319i 1.03517 0.780374i
\(387\) 11.5825 3.75796i 0.588770 0.191028i
\(388\) −2.76008 + 9.63964i −0.140122 + 0.489378i
\(389\) −0.272464 + 0.748588i −0.0138145 + 0.0379549i −0.946408 0.322973i \(-0.895318\pi\)
0.932594 + 0.360928i \(0.117540\pi\)
\(390\) 17.3025 0.301714i 0.876149 0.0152779i
\(391\) 16.3559 + 13.7242i 0.827151 + 0.694062i
\(392\) 0.452422 1.31642i 0.0228508 0.0664890i
\(393\) 0.317412 0.436685i 0.0160113 0.0220279i
\(394\) −21.3485 4.92434i −1.07552 0.248085i
\(395\) 1.84996 + 1.06808i 0.0930817 + 0.0537408i
\(396\) 8.73924 + 21.6326i 0.439163 + 1.08708i
\(397\) −26.8054 + 15.4761i −1.34532 + 0.776723i −0.987583 0.157099i \(-0.949786\pi\)
−0.357740 + 0.933821i \(0.616453\pi\)
\(398\) 23.7850 7.27685i 1.19223 0.364756i
\(399\) 21.0694 5.24845i 1.05479 0.262751i
\(400\) 3.42773 3.81282i 0.171386 0.190641i
\(401\) 5.68481 32.2401i 0.283886 1.61000i −0.425353 0.905028i \(-0.639850\pi\)
0.709239 0.704968i \(-0.249039\pi\)
\(402\) 1.79954 5.22594i 0.0897528 0.260646i
\(403\) 6.31371 + 7.52439i 0.314508 + 0.374816i
\(404\) 0.523969 + 2.09806i 0.0260684 + 0.104382i
\(405\) 22.4355 2.33889i 1.11483 0.116220i
\(406\) 9.37074 1.15243i 0.465062 0.0571940i
\(407\) −23.7768 + 19.9511i −1.17857 + 0.988940i
\(408\) −37.0222 3.22521i −1.83287 0.159672i
\(409\) 0.478133 2.71163i 0.0236422 0.134081i −0.970702 0.240286i \(-0.922759\pi\)
0.994344 + 0.106205i \(0.0338699\pi\)
\(410\) 31.6731 16.1460i 1.56422 0.797393i
\(411\) 2.67017 + 10.7191i 0.131710 + 0.528735i
\(412\) 9.04175 + 20.2869i 0.445455 + 0.999466i
\(413\) 3.77678 2.18053i 0.185843 0.107297i
\(414\) 11.5339 + 3.09332i 0.566858 + 0.152028i
\(415\) 10.9152 18.9057i 0.535807 0.928046i
\(416\) −15.3980 + 4.14189i −0.754951 + 0.203073i
\(417\) 5.22163 7.18377i 0.255705 0.351791i
\(418\) −14.7137 + 22.6668i −0.719673 + 1.10867i
\(419\) −16.1377 + 19.2321i −0.788376 + 0.939551i −0.999279 0.0379565i \(-0.987915\pi\)
0.210903 + 0.977507i \(0.432360\pi\)
\(420\) −21.9327 + 3.08639i −1.07021 + 0.150600i
\(421\) 2.33021 6.40219i 0.113567 0.312024i −0.869868 0.493285i \(-0.835796\pi\)
0.983435 + 0.181262i \(0.0580181\pi\)
\(422\) 13.5845 32.0203i 0.661283 1.55873i
\(423\) 17.1703 19.0533i 0.834847 0.926404i
\(424\) −26.0437 21.0647i −1.26479 1.02299i
\(425\) −1.68841 9.57545i −0.0819000 0.464478i
\(426\) −1.94003 + 12.2475i −0.0939950 + 0.593394i
\(427\) −0.304487 0.836572i −0.0147352 0.0404846i
\(428\) −24.1691 + 1.69948i −1.16826 + 0.0821475i
\(429\) 18.9388 1.32031i 0.914373 0.0637449i
\(430\) −10.5239 9.80987i −0.507507 0.473074i
\(431\) 2.93816 0.141526 0.0707631 0.997493i \(-0.477457\pi\)
0.0707631 + 0.997493i \(0.477457\pi\)
\(432\) −19.5301 + 7.11151i −0.939644 + 0.342153i
\(433\) −31.2403 −1.50131 −0.750656 0.660694i \(-0.770262\pi\)
−0.750656 + 0.660694i \(0.770262\pi\)
\(434\) −9.19597 8.57205i −0.441421 0.411472i
\(435\) 6.35078 + 9.41971i 0.304496 + 0.451640i
\(436\) 39.0156 2.74344i 1.86851 0.131387i
\(437\) 4.73061 + 12.9972i 0.226296 + 0.621743i
\(438\) 5.13276 + 4.15658i 0.245253 + 0.198609i
\(439\) 1.21855 + 6.91073i 0.0581581 + 0.329831i 0.999980 0.00628055i \(-0.00199917\pi\)
−0.941822 + 0.336112i \(0.890888\pi\)
\(440\) 17.3353 21.4327i 0.826426 1.02177i
\(441\) −1.25175 0.782917i −0.0596072 0.0372818i
\(442\) −11.8101 + 27.8378i −0.561748 + 1.32411i
\(443\) 7.15814 19.6668i 0.340093 0.934399i −0.645273 0.763952i \(-0.723257\pi\)
0.985367 0.170447i \(-0.0545213\pi\)
\(444\) −17.0273 21.7860i −0.808080 1.03392i
\(445\) 9.75301 11.6232i 0.462337 0.550992i
\(446\) −13.0850 + 20.1577i −0.619593 + 0.954495i
\(447\) −1.46077 3.28282i −0.0690923 0.155272i
\(448\) 18.9134 7.66713i 0.893576 0.362238i
\(449\) 7.57475 13.1198i 0.357474 0.619164i −0.630064 0.776543i \(-0.716971\pi\)
0.987538 + 0.157380i \(0.0503046\pi\)
\(450\) −3.11814 4.45533i −0.146990 0.210026i
\(451\) 33.7763 19.5007i 1.59046 0.918253i
\(452\) −4.84074 10.8611i −0.227689 0.510865i
\(453\) 30.0800 29.0356i 1.41328 1.36421i
\(454\) 11.2347 5.72713i 0.527272 0.268787i
\(455\) −3.12961 + 17.7489i −0.146718 + 0.832080i
\(456\) −19.7255 13.8010i −0.923730 0.646293i
\(457\) 0.729228 0.611895i 0.0341118 0.0286232i −0.625572 0.780166i \(-0.715134\pi\)
0.659684 + 0.751543i \(0.270690\pi\)
\(458\) 2.32503 0.285935i 0.108641 0.0133609i
\(459\) −12.2042 + 37.4798i −0.569643 + 1.74941i
\(460\) −3.41855 13.6884i −0.159391 0.638227i
\(461\) −2.82485 3.36653i −0.131567 0.156795i 0.696239 0.717810i \(-0.254855\pi\)
−0.827806 + 0.561015i \(0.810411\pi\)
\(462\) −23.8521 + 4.63595i −1.10970 + 0.215684i
\(463\) −0.0157534 + 0.0893420i −0.000732123 + 0.00415207i −0.985172 0.171572i \(-0.945115\pi\)
0.984440 + 0.175724i \(0.0562266\pi\)
\(464\) −7.78460 6.99836i −0.361391 0.324891i
\(465\) 4.17270 14.5403i 0.193504 0.674292i
\(466\) 19.2521 5.89003i 0.891834 0.272850i
\(467\) −8.84291 + 5.10545i −0.409201 + 0.236252i −0.690446 0.723384i \(-0.742586\pi\)
0.281245 + 0.959636i \(0.409252\pi\)
\(468\) 0.589649 + 16.9023i 0.0272565 + 0.781311i
\(469\) 4.98507 + 2.87813i 0.230189 + 0.132900i
\(470\) −29.5284 6.81115i −1.36205 0.314175i
\(471\) −14.9980 1.57956i −0.691072 0.0727823i
\(472\) −4.57272 1.57154i −0.210476 0.0723359i
\(473\) −12.0907 10.1453i −0.555933 0.466483i
\(474\) −1.01217 + 1.82592i −0.0464904 + 0.0838674i
\(475\) 2.15430 5.91889i 0.0988460 0.271577i
\(476\) 10.6536 37.2081i 0.488308 1.70543i
\(477\) −28.0057 + 21.8614i −1.28229 + 1.00097i
\(478\) −19.5562 + 14.7426i −0.894479 + 0.674310i
\(479\) 0.385466 + 2.18609i 0.0176124 + 0.0998848i 0.992347 0.123482i \(-0.0394062\pi\)
−0.974734 + 0.223367i \(0.928295\pi\)
\(480\) 18.5457 + 16.0968i 0.846490 + 0.734717i
\(481\) −21.1427 + 7.69531i −0.964024 + 0.350876i
\(482\) −31.3148 1.63505i −1.42635 0.0744746i
\(483\) −5.45420 + 11.1768i −0.248175 + 0.508560i
\(484\) 4.84147 6.66915i 0.220067 0.303143i
\(485\) 12.5656i 0.570573i
\(486\) 2.66777 + 21.8834i 0.121013 + 0.992651i
\(487\) 41.4817 1.87971 0.939857 0.341569i \(-0.110958\pi\)
0.939857 + 0.341569i \(0.110958\pi\)
\(488\) −0.478034 + 0.863580i −0.0216396 + 0.0390924i
\(489\) 10.0258 + 4.89252i 0.453382 + 0.221248i
\(490\) −0.0909574 + 1.74203i −0.00410903 + 0.0786969i
\(491\) −1.96933 5.41068i −0.0888745 0.244181i 0.887290 0.461211i \(-0.152585\pi\)
−0.976165 + 0.217031i \(0.930363\pi\)
\(492\) 16.3170 + 30.6748i 0.735627 + 1.38292i
\(493\) −19.5501 + 3.44721i −0.880493 + 0.155255i
\(494\) −15.6424 + 11.7922i −0.703786 + 0.530555i
\(495\) −17.9909 23.0474i −0.808632 1.03590i
\(496\) −0.475647 + 13.9304i −0.0213572 + 0.625495i
\(497\) −12.1355 4.41696i −0.544352 0.198128i
\(498\) 18.6600 + 10.3439i 0.836176 + 0.463519i
\(499\) 8.64536 10.3031i 0.387019 0.461232i −0.536997 0.843584i \(-0.680441\pi\)
0.924017 + 0.382352i \(0.124886\pi\)
\(500\) 8.16402 16.7552i 0.365106 0.749315i
\(501\) 2.58720 24.5656i 0.115587 1.09751i
\(502\) −9.34698 2.15601i −0.417176 0.0962275i
\(503\) 9.82946 17.0251i 0.438274 0.759113i −0.559282 0.828977i \(-0.688923\pi\)
0.997557 + 0.0698643i \(0.0222566\pi\)
\(504\) −3.38963 21.3793i −0.150986 0.952311i
\(505\) −1.35499 2.34691i −0.0602963 0.104436i
\(506\) −4.52826 14.8010i −0.201306 0.657985i
\(507\) −8.41507 2.41491i −0.373726 0.107250i
\(508\) −20.5916 + 13.9009i −0.913606 + 0.616751i
\(509\) 8.99761 + 1.58652i 0.398812 + 0.0703213i 0.369457 0.929248i \(-0.379544\pi\)
0.0293547 + 0.999569i \(0.490655\pi\)
\(510\) 45.7154 8.88535i 2.02431 0.393450i
\(511\) −5.26929 + 4.42146i −0.233100 + 0.195594i
\(512\) −20.1791 10.2374i −0.891797 0.452435i
\(513\) −18.9866 + 17.0738i −0.838280 + 0.753829i
\(514\) −3.99156 32.4566i −0.176060 1.43160i
\(515\) −17.8912 21.3219i −0.788381 0.939556i
\(516\) 9.40656 10.4507i 0.414101 0.460068i
\(517\) −32.7399 5.77292i −1.43990 0.253893i
\(518\) 25.6559 13.0786i 1.12725 0.574640i
\(519\) −11.9343 12.3635i −0.523856 0.542698i
\(520\) 17.1222 10.3016i 0.750858 0.451755i
\(521\) 13.8130 + 23.9247i 0.605157 + 1.04816i 0.992027 + 0.126028i \(0.0402229\pi\)
−0.386870 + 0.922134i \(0.626444\pi\)
\(522\) −9.09641 + 6.36627i −0.398139 + 0.278644i
\(523\) −2.64626 1.52782i −0.115713 0.0668068i 0.441027 0.897494i \(-0.354614\pi\)
−0.556739 + 0.830687i \(0.687948\pi\)
\(524\) 0.0649197 0.619982i 0.00283603 0.0270840i
\(525\) 5.17440 2.30248i 0.225830 0.100489i
\(526\) 1.63011 2.51121i 0.0710760 0.109494i
\(527\) 20.2493 + 16.9912i 0.882073 + 0.740147i
\(528\) 21.2387 + 16.5742i 0.924297 + 0.721301i
\(529\) 14.1686 + 5.15694i 0.616025 + 0.224215i
\(530\) 38.6427 + 16.3940i 1.67853 + 0.712111i
\(531\) −2.71955 + 4.34810i −0.118018 + 0.188691i
\(532\) 18.0287 17.4237i 0.781645 0.755411i
\(533\) 27.8424 4.90937i 1.20599 0.212649i
\(534\) 11.5240 + 9.33226i 0.498691 + 0.403847i
\(535\) 28.5317 10.3847i 1.23353 0.448969i
\(536\) −1.22141 6.26417i −0.0527570 0.270571i
\(537\) −13.7327 + 9.25863i −0.592612 + 0.399539i
\(538\) 24.7722 26.5753i 1.06801 1.14574i
\(539\) 1.91371i 0.0824292i
\(540\) 21.0760 15.3047i 0.906967 0.658608i
\(541\) 12.4110i 0.533592i −0.963753 0.266796i \(-0.914035\pi\)
0.963753 0.266796i \(-0.0859650\pi\)
\(542\) 28.2449 + 26.3286i 1.21322 + 1.13091i
\(543\) 0.641054 + 9.19544i 0.0275103 + 0.394614i
\(544\) −38.8734 + 18.1728i −1.66668 + 0.779154i
\(545\) −46.0581 + 16.7638i −1.97291 + 0.718082i
\(546\) −17.3969 2.75572i −0.744520 0.117934i
\(547\) −0.791575 + 0.139576i −0.0338453 + 0.00596784i −0.190545 0.981678i \(-0.561026\pi\)
0.156700 + 0.987646i \(0.449914\pi\)
\(548\) 8.86434 + 9.17218i 0.378666 + 0.391816i
\(549\) 0.777728 + 0.700865i 0.0331926 + 0.0299122i
\(550\) −2.75289 + 6.48890i −0.117384 + 0.276688i
\(551\) −12.0845 4.39841i −0.514819 0.187379i
\(552\) 13.3176 3.57373i 0.566836 0.152108i
\(553\) −1.66558 1.39758i −0.0708275 0.0594313i
\(554\) −19.5242 12.6738i −0.829506 0.538459i
\(555\) 28.0290 + 20.3733i 1.18976 + 0.864799i
\(556\) 1.06797 10.1991i 0.0452922 0.432539i
\(557\) 15.6214 + 9.01902i 0.661900 + 0.382148i 0.793000 0.609221i \(-0.208518\pi\)
−0.131101 + 0.991369i \(0.541851\pi\)
\(558\) 14.2794 + 3.82967i 0.604497 + 0.162123i
\(559\) −5.72063 9.90842i −0.241957 0.419081i
\(560\) −20.1414 + 15.7613i −0.851128 + 0.666037i
\(561\) 49.5759 12.3495i 2.09310 0.521397i
\(562\) −18.5529 36.3947i −0.782608 1.53522i
\(563\) −20.6986 3.64973i −0.872344 0.153818i −0.280484 0.959859i \(-0.590495\pi\)
−0.591860 + 0.806041i \(0.701606\pi\)
\(564\) 6.15248 28.9703i 0.259066 1.21987i
\(565\) 9.57853 + 11.4152i 0.402972 + 0.480243i
\(566\) 5.17876 0.636891i 0.217680 0.0267705i
\(567\) −22.9022 1.62094i −0.961800 0.0680729i
\(568\) 5.13907 + 13.3645i 0.215631 + 0.560762i
\(569\) 18.1237 15.2076i 0.759785 0.637535i −0.178286 0.983979i \(-0.557055\pi\)
0.938071 + 0.346444i \(0.112611\pi\)
\(570\) 28.5252 + 9.82257i 1.19479 + 0.411422i
\(571\) 3.45440 + 0.609103i 0.144562 + 0.0254902i 0.245461 0.969407i \(-0.421061\pi\)
−0.100899 + 0.994897i \(0.532172\pi\)
\(572\) 18.1692 12.2655i 0.759690 0.512846i
\(573\) 1.73533 + 6.96629i 0.0724943 + 0.291021i
\(574\) −34.6020 + 10.5862i −1.44426 + 0.441860i
\(575\) 1.80385 + 3.12436i 0.0752258 + 0.130295i
\(576\) −15.4133 + 18.3965i −0.642220 + 0.766520i
\(577\) 8.52365 14.7634i 0.354844 0.614608i −0.632247 0.774767i \(-0.717867\pi\)
0.987091 + 0.160159i \(0.0512006\pi\)
\(578\) −12.8872 + 55.8701i −0.536038 + 2.32389i
\(579\) −25.2324 18.3405i −1.04862 0.762207i
\(580\) 11.7927 + 5.74602i 0.489665 + 0.238591i
\(581\) −14.2826 + 17.0214i −0.592543 + 0.706166i
\(582\) 12.2786 0.214109i 0.508966 0.00887511i
\(583\) 43.2733 + 15.7502i 1.79220 + 0.652307i
\(584\) 7.53327 + 1.18866i 0.311729 + 0.0491872i
\(585\) −6.54092 20.1599i −0.270434 0.833508i
\(586\) −10.9030 14.4629i −0.450398 0.597457i
\(587\) −36.9148 + 6.50908i −1.52364 + 0.268658i −0.871861 0.489753i \(-0.837087\pi\)
−0.651776 + 0.758412i \(0.725976\pi\)
\(588\) −1.70380 0.0591974i −0.0702637 0.00244126i
\(589\) 5.85671 + 16.0912i 0.241322 + 0.663026i
\(590\) 6.05114 + 0.315951i 0.249121 + 0.0130075i
\(591\) 1.86612 + 26.7681i 0.0767620 + 1.10109i
\(592\) −29.6126 11.9376i −1.21707 0.490631i
\(593\) −16.4642 −0.676103 −0.338051 0.941128i \(-0.609768\pi\)
−0.338051 + 0.941128i \(0.609768\pi\)
\(594\) 22.2146 17.9729i 0.911477 0.737435i
\(595\) 48.5018i 1.98838i
\(596\) −3.35757 2.43743i −0.137532 0.0998411i
\(597\) −17.0296 25.2589i −0.696974 1.03378i
\(598\) 0.585041 11.2048i 0.0239241 0.458199i
\(599\) −20.2683 + 7.37705i −0.828139 + 0.301418i −0.721095 0.692836i \(-0.756361\pi\)
−0.107044 + 0.994254i \(0.534139\pi\)
\(600\) −5.69201 2.65166i −0.232375 0.108254i
\(601\) −3.05008 17.2979i −0.124415 0.705595i −0.981653 0.190674i \(-0.938933\pi\)
0.857238 0.514920i \(-0.172179\pi\)
\(602\) 8.81501 + 11.6932i 0.359273 + 0.476579i
\(603\) −6.76506 0.239105i −0.275494 0.00973709i
\(604\) 13.2885 46.4103i 0.540700 1.88841i
\(605\) −3.53227 + 9.70482i −0.143607 + 0.394557i
\(606\) 2.27024 1.36404i 0.0922221 0.0554104i
\(607\) −17.1550 14.3947i −0.696299 0.584264i 0.224419 0.974493i \(-0.427951\pi\)
−0.920718 + 0.390229i \(0.872396\pi\)
\(608\) −27.6949 2.39595i −1.12318 0.0971685i
\(609\) −4.70096 10.5645i −0.190492 0.428096i
\(610\) 0.278021 1.20531i 0.0112567 0.0488015i
\(611\) −20.8704 12.0495i −0.844327 0.487472i
\(612\) 9.46143 + 44.5202i 0.382456 + 1.79962i
\(613\) −20.3462 + 11.7469i −0.821774 + 0.474451i −0.851028 0.525121i \(-0.824020\pi\)
0.0292540 + 0.999572i \(0.490687\pi\)
\(614\) 7.96789 + 26.0437i 0.321558 + 1.05104i
\(615\) −30.2395 31.3271i −1.21937 1.26323i
\(616\) −21.1645 + 18.4197i −0.852743 + 0.742150i
\(617\) −0.911711 + 5.17057i −0.0367041 + 0.208159i −0.997645 0.0685961i \(-0.978148\pi\)
0.960940 + 0.276755i \(0.0892591\pi\)
\(618\) 20.5302 17.8460i 0.825846 0.717872i
\(619\) 14.0073 + 16.6933i 0.563001 + 0.670958i 0.970179 0.242390i \(-0.0779315\pi\)
−0.407178 + 0.913349i \(0.633487\pi\)
\(620\) −4.23232 16.9469i −0.169974 0.680605i
\(621\) −0.501144 14.6166i −0.0201102 0.586546i
\(622\) −5.51264 44.8250i −0.221037 1.79732i
\(623\) −11.8305 + 9.92697i −0.473979 + 0.397716i
\(624\) 10.3581 + 16.5557i 0.414657 + 0.662758i
\(625\) −5.16880 + 29.3137i −0.206752 + 1.17255i
\(626\) −3.74483 7.34612i −0.149673 0.293610i
\(627\) 31.8130 + 9.12952i 1.27049 + 0.364598i
\(628\) −15.9057 + 7.08908i −0.634708 + 0.282885i
\(629\) −52.4377 + 30.2749i −2.09083 + 1.20714i
\(630\) 11.4586 + 24.5877i 0.456521 + 0.979598i
\(631\) −18.2913 + 31.6814i −0.728164 + 1.26122i 0.229494 + 0.973310i \(0.426293\pi\)
−0.957658 + 0.287908i \(0.907040\pi\)
\(632\) 0.0434736 + 2.41027i 0.00172929 + 0.0958754i
\(633\) −42.3657 4.46187i −1.68389 0.177343i
\(634\) 12.7515 + 8.27739i 0.506426 + 0.328737i
\(635\) 20.0128 23.8504i 0.794186 0.946474i
\(636\) −15.3613 + 38.0397i −0.609113 + 1.50837i
\(637\) −0.474463 + 1.30358i −0.0187989 + 0.0516496i
\(638\) 13.2483 + 5.62055i 0.524506 + 0.222520i
\(639\) 15.0402 2.10728i 0.594980 0.0833625i
\(640\) 27.8424 + 5.37282i 1.10057 + 0.212379i
\(641\) 2.53575 + 14.3809i 0.100156 + 0.568012i 0.993045 + 0.117736i \(0.0375636\pi\)
−0.892889 + 0.450277i \(0.851325\pi\)
\(642\) 10.6337 + 27.7033i 0.419680 + 1.09336i
\(643\) −16.8828 46.3851i −0.665793 1.82925i −0.548494 0.836155i \(-0.684798\pi\)
−0.117300 0.993097i \(-0.537424\pi\)
\(644\) 1.00729 + 14.3251i 0.0396929 + 0.564490i
\(645\) −7.72762 + 15.8355i −0.304275 + 0.623521i
\(646\) −35.9460 + 38.5624i −1.41428 + 1.51722i
\(647\) −23.5483 −0.925778 −0.462889 0.886416i \(-0.653187\pi\)
−0.462889 + 0.886416i \(0.653187\pi\)
\(648\) 15.3143 + 20.3340i 0.601604 + 0.798794i
\(649\) 6.64748 0.260936
\(650\) −3.48399 + 3.73758i −0.136653 + 0.146600i
\(651\) −6.75254 + 13.8373i −0.264653 + 0.542328i
\(652\) 12.8499 0.903562i 0.503243 0.0353862i
\(653\) 9.17895 + 25.2190i 0.359200 + 0.986894i 0.979308 + 0.202377i \(0.0648667\pi\)
−0.620108 + 0.784517i \(0.712911\pi\)
\(654\) −17.1658 44.7208i −0.671237 1.74872i
\(655\) 0.135653 + 0.769324i 0.00530039 + 0.0300600i
\(656\) 34.0398 + 21.2337i 1.32903 + 0.829039i
\(657\) 3.03340 7.49880i 0.118344 0.292556i
\(658\) 28.3947 + 12.0463i 1.10694 + 0.469615i
\(659\) 2.27329 6.24582i 0.0885548 0.243302i −0.887508 0.460793i \(-0.847565\pi\)
0.976062 + 0.217491i \(0.0697872\pi\)
\(660\) −31.3049 12.6416i −1.21854 0.492074i
\(661\) −19.3288 + 23.0352i −0.751803 + 0.895964i −0.997300 0.0734332i \(-0.976604\pi\)
0.245497 + 0.969397i \(0.421049\pi\)
\(662\) −21.2778 13.8121i −0.826986 0.536823i
\(663\) 36.8318 + 3.87905i 1.43043 + 0.150650i
\(664\) 24.6318 0.444279i 0.955899 0.0172414i
\(665\) −15.7099 + 27.2104i −0.609206 + 1.05517i
\(666\) −19.4305 + 27.7362i −0.752918 + 1.07475i
\(667\) 6.37898 3.68291i 0.246995 0.142603i
\(668\) −11.6114 26.0523i −0.449257 1.00800i
\(669\) 28.2915 + 8.11893i 1.09381 + 0.313896i
\(670\) 3.63236 + 7.12550i 0.140330 + 0.275282i
\(671\) 0.235642 1.33639i 0.00909687 0.0515909i
\(672\) −15.7446 19.4129i −0.607362 0.748869i
\(673\) 17.8623 14.9883i 0.688543 0.577756i −0.229946 0.973203i \(-0.573855\pi\)
0.918489 + 0.395447i \(0.129410\pi\)
\(674\) −0.306920 2.49566i −0.0118221 0.0961293i
\(675\) −4.10380 + 5.24576i −0.157955 + 0.201909i
\(676\) −9.80785 + 2.44941i −0.377225 + 0.0942081i
\(677\) 27.4963 + 32.7688i 1.05677 + 1.25941i 0.964614 + 0.263665i \(0.0849312\pi\)
0.0921554 + 0.995745i \(0.470624\pi\)
\(678\) −10.9914 + 9.55433i −0.422122 + 0.366932i
\(679\) −2.22091 + 12.5954i −0.0852305 + 0.483366i
\(680\) 40.5643 35.3035i 1.55557 1.35383i
\(681\) −10.7262 11.1120i −0.411030 0.425814i
\(682\) −5.60619 18.3243i −0.214672 0.701674i
\(683\) −9.59344 + 5.53878i −0.367083 + 0.211935i −0.672183 0.740385i \(-0.734643\pi\)
0.305100 + 0.952320i \(0.401310\pi\)
\(684\) −9.11224 + 28.0412i −0.348415 + 1.07218i
\(685\) −13.8434 7.99249i −0.528929 0.305377i
\(686\) 6.07524 26.3380i 0.231954 1.00559i
\(687\) −1.16638 2.62122i −0.0445002 0.100006i
\(688\) 3.36330 15.8836i 0.128225 0.605558i
\(689\) 25.5719 + 21.4574i 0.974213 + 0.817462i
\(690\) −14.8118 + 8.89947i −0.563875 + 0.338797i
\(691\) 15.4467 42.4396i 0.587622 1.61448i −0.187218 0.982318i \(-0.559947\pi\)
0.774839 0.632158i \(-0.217831\pi\)
\(692\) −19.0756 5.46184i −0.725146 0.207628i
\(693\) 13.9601 + 26.2819i 0.530300 + 0.998368i
\(694\) 2.88785 + 3.83076i 0.109621 + 0.145414i
\(695\) 2.23158 + 12.6559i 0.0846486 + 0.480066i
\(696\) −5.41388 + 11.6213i −0.205213 + 0.440505i
\(697\) 71.4958 26.0223i 2.70810 0.985666i
\(698\) −0.136678 + 2.61769i −0.00517335 + 0.0990809i
\(699\) −13.7841 20.4451i −0.521362 0.773303i
\(700\) 3.84190 5.29223i 0.145210 0.200027i
\(701\) 10.1103i 0.381863i −0.981603 0.190931i \(-0.938849\pi\)
0.981603 0.190931i \(-0.0611508\pi\)
\(702\) 19.5881 6.73508i 0.739305 0.254199i
\(703\) −39.2247 −1.47939
\(704\) 30.8104 + 4.29359i 1.16121 + 0.161821i
\(705\) 2.58114 + 37.0246i 0.0972115 + 1.39443i
\(706\) 19.4100 + 1.01346i 0.730506 + 0.0381422i
\(707\) 0.943400 + 2.59197i 0.0354802 + 0.0974811i
\(708\) −0.205629 + 5.91835i −0.00772800 + 0.222425i
\(709\) 9.89080 1.74401i 0.371457 0.0654978i 0.0151963 0.999885i \(-0.495163\pi\)
0.356260 + 0.934387i \(0.384052\pi\)
\(710\) −10.8015 14.3283i −0.405373 0.537731i
\(711\) 2.50079 + 0.532665i 0.0937871 + 0.0199765i
\(712\) 16.9136 + 2.66876i 0.633862 + 0.100016i
\(713\) −9.21647 3.35452i −0.345159 0.125628i
\(714\) −47.3944 + 0.826440i −1.77369 + 0.0309288i
\(715\) −17.6584 + 21.0445i −0.660389 + 0.787020i
\(716\) −8.37698 + 17.1923i −0.313062 + 0.642505i
\(717\) 24.2625 + 17.6356i 0.906100 + 0.658613i
\(718\) −3.41808 + 14.8184i −0.127562 + 0.553019i
\(719\) 12.6792 21.9611i 0.472856 0.819010i −0.526662 0.850075i \(-0.676557\pi\)
0.999517 + 0.0310648i \(0.00988984\pi\)
\(720\) 12.2234 27.4802i 0.455539 1.02413i
\(721\) 14.1651 + 24.5347i 0.527537 + 0.913721i
\(722\) −6.96246 + 2.13011i −0.259116 + 0.0792746i
\(723\) 9.28311 + 37.2661i 0.345243 + 1.38594i
\(724\) 5.95533 + 8.82176i 0.221328 + 0.327858i
\(725\) −3.30340 0.582478i −0.122685 0.0216327i
\(726\) −9.54342 3.28625i −0.354189 0.121964i
\(727\) 10.0163 8.40466i 0.371483 0.311712i −0.437865 0.899041i \(-0.644265\pi\)
0.809348 + 0.587329i \(0.199821\pi\)
\(728\) −18.9836 + 7.29978i −0.703578 + 0.270548i
\(729\) 24.6796 10.9506i 0.914061 0.405578i
\(730\) −9.48583 + 1.16658i −0.351086 + 0.0431770i
\(731\) −19.7916 23.5867i −0.732017 0.872384i
\(732\) 1.18252 + 0.251135i 0.0437073 + 0.00928222i
\(733\) −8.57953 1.51280i −0.316892 0.0558766i 0.0129398 0.999916i \(-0.495881\pi\)
−0.329832 + 0.944040i \(0.606992\pi\)
\(734\) 6.97339 + 13.6795i 0.257393 + 0.504919i
\(735\) 2.07310 0.516416i 0.0764673 0.0190483i
\(736\) 11.2476 11.2694i 0.414592 0.415396i
\(737\) 4.38708 + 7.59865i 0.161600 + 0.279900i
\(738\) 30.0966 30.0828i 1.10787 1.10736i
\(739\) −36.1627 20.8786i −1.33027 0.768031i −0.344927 0.938629i \(-0.612096\pi\)
−0.985341 + 0.170599i \(0.945430\pi\)
\(740\) 39.7940 + 4.16692i 1.46286 + 0.153179i
\(741\) 19.4069 + 14.1062i 0.712930 + 0.518204i
\(742\) −35.8369 23.2629i −1.31561 0.854007i
\(743\) −9.46740 7.94409i −0.347325 0.291441i 0.452390 0.891820i \(-0.350572\pi\)
−0.799715 + 0.600380i \(0.795016\pi\)
\(744\) 16.4878 4.42445i 0.604474 0.162208i
\(745\) 4.88588 + 1.77831i 0.179005 + 0.0651524i
\(746\) −12.7546 + 30.0641i −0.466979 + 1.10073i
\(747\) 5.44358 25.5569i 0.199170 0.935078i
\(748\) 42.4213 40.9976i 1.55108 1.49902i
\(749\) −30.4348 + 5.36648i −1.11207 + 0.196087i
\(750\) −22.5461 3.57136i −0.823268 0.130408i
\(751\) 23.4602 8.53880i 0.856074 0.311585i 0.123560 0.992337i \(-0.460569\pi\)
0.732514 + 0.680752i \(0.238347\pi\)
\(752\) −10.5930 32.5161i −0.386287 1.18574i
\(753\) 0.817040 + 11.7198i 0.0297746 + 0.427094i
\(754\) 7.63098 + 7.11324i 0.277904 + 0.259049i
\(755\) 60.4972i 2.20172i
\(756\) −23.8311 + 11.6159i −0.866727 + 0.422467i
\(757\) 8.24126i 0.299534i −0.988721 0.149767i \(-0.952148\pi\)
0.988721 0.149767i \(-0.0478523\pi\)
\(758\) 18.5092 19.8564i 0.672286 0.721218i
\(759\) −15.7182 + 10.5972i −0.570534 + 0.384654i
\(760\) 34.1923 6.66694i 1.24028 0.241835i
\(761\) 6.01155 2.18802i 0.217918 0.0793158i −0.230754 0.973012i \(-0.574119\pi\)
0.448672 + 0.893696i \(0.351897\pi\)
\(762\) 23.6468 + 19.1495i 0.856633 + 0.693713i
\(763\) 49.1304 8.66301i 1.77864 0.313622i
\(764\) 5.76089 + 5.96095i 0.208422 + 0.215660i
\(765\) −26.7562 50.3724i −0.967372 1.82122i
\(766\) −32.5343 13.8026i −1.17551 0.498707i
\(767\) 4.52812 + 1.64810i 0.163501 + 0.0595094i
\(768\) −4.77572 + 27.2982i −0.172329 + 0.985039i
\(769\) 22.1762 + 18.6080i 0.799693 + 0.671022i 0.948124 0.317900i \(-0.102978\pi\)
−0.148431 + 0.988923i \(0.547422\pi\)
\(770\) 19.1443 29.4921i 0.689911 1.06282i
\(771\) −36.5915 + 16.2823i −1.31781 + 0.586393i
\(772\) −35.8235 3.75116i −1.28932 0.135007i
\(773\) −20.3275 11.7361i