Properties

Label 189.2.bd.a.47.6
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.6
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.57155 - 0.277106i) q^{2} +(1.72554 + 0.149982i) q^{3} +(0.513586 + 0.186930i) q^{4} +(1.78318 + 0.649025i) q^{5} +(-2.67021 - 0.713863i) q^{6} +(-1.28547 - 2.31248i) q^{7} +(2.00866 + 1.15970i) q^{8} +(2.95501 + 0.517603i) q^{9} +O(q^{10})\) \(q+(-1.57155 - 0.277106i) q^{2} +(1.72554 + 0.149982i) q^{3} +(0.513586 + 0.186930i) q^{4} +(1.78318 + 0.649025i) q^{5} +(-2.67021 - 0.713863i) q^{6} +(-1.28547 - 2.31248i) q^{7} +(2.00866 + 1.15970i) q^{8} +(2.95501 + 0.517603i) q^{9} +(-2.62250 - 1.51410i) q^{10} +(0.432011 + 1.18694i) q^{11} +(0.858180 + 0.399585i) q^{12} +(0.326917 - 0.898197i) q^{13} +(1.37938 + 3.99038i) q^{14} +(2.97962 + 1.38737i) q^{15} +(-3.67271 - 3.08177i) q^{16} +(-2.00687 + 3.47600i) q^{17} +(-4.50051 - 1.63229i) q^{18} +(6.64640 - 3.83730i) q^{19} +(0.794495 + 0.666660i) q^{20} +(-1.87131 - 4.18309i) q^{21} +(-0.350017 - 1.98504i) q^{22} +(5.63807 - 0.994145i) q^{23} +(3.29211 + 2.30238i) q^{24} +(-1.07172 - 0.899282i) q^{25} +(-0.762661 + 1.32097i) q^{26} +(5.02137 + 1.33635i) q^{27} +(-0.227929 - 1.42795i) q^{28} +(-1.22870 - 3.37583i) q^{29} +(-4.29816 - 3.00598i) q^{30} +(-3.04428 + 8.36408i) q^{31} +(1.93608 + 2.30734i) q^{32} +(0.567434 + 2.11291i) q^{33} +(4.11711 - 4.90658i) q^{34} +(-0.791374 - 4.95787i) q^{35} +(1.42090 + 0.818214i) q^{36} -7.99870 q^{37} +(-11.5085 + 4.18874i) q^{38} +(0.698824 - 1.50085i) q^{39} +(2.82914 + 3.37163i) q^{40} +(-3.01647 - 1.09790i) q^{41} +(1.78169 + 7.09246i) q^{42} +(0.111496 - 0.632326i) q^{43} +0.690352i q^{44} +(4.93338 + 2.84085i) q^{45} -9.13598 q^{46} +(-8.03521 + 2.92458i) q^{47} +(-5.87521 - 5.86857i) q^{48} +(-3.69512 + 5.94526i) q^{49} +(1.43506 + 1.71024i) q^{50} +(-3.98428 + 5.69699i) q^{51} +(0.335800 - 0.400191i) q^{52} +(-11.3329 + 6.54305i) q^{53} +(-7.52101 - 3.49158i) q^{54} +2.39691i q^{55} +(0.0997058 - 6.13576i) q^{56} +(12.0442 - 5.62459i) q^{57} +(0.995499 + 5.64576i) q^{58} +(-1.65418 + 1.38802i) q^{59} +(1.27095 + 1.26951i) q^{60} +(-1.05430 - 2.89668i) q^{61} +(7.10196 - 12.3010i) q^{62} +(-2.60164 - 7.49876i) q^{63} +(2.39111 + 4.14152i) q^{64} +(1.16590 - 1.38947i) q^{65} +(-0.306248 - 3.47778i) q^{66} +(0.371427 + 2.10647i) q^{67} +(-1.68047 + 1.41008i) q^{68} +(9.87786 - 0.869829i) q^{69} +(-0.130175 + 8.01082i) q^{70} +(-0.154696 + 0.0893139i) q^{71} +(5.33536 + 4.46663i) q^{72} -11.5040i q^{73} +(12.5703 + 2.21649i) q^{74} +(-1.71443 - 1.71249i) q^{75} +(4.13081 - 0.728373i) q^{76} +(2.18944 - 2.52480i) q^{77} +(-1.51413 + 2.16500i) q^{78} +(-0.211994 + 1.20228i) q^{79} +(-4.54896 - 7.87903i) q^{80} +(8.46417 + 3.05904i) q^{81} +(4.43628 + 2.56129i) q^{82} +(-5.11532 + 1.86183i) q^{83} +(-0.179134 - 2.49818i) q^{84} +(-5.83462 + 4.89582i) q^{85} +(-0.350443 + 0.962834i) q^{86} +(-1.61386 - 6.00943i) q^{87} +(-0.508733 + 2.88517i) q^{88} +(2.81958 + 4.88366i) q^{89} +(-6.96582 - 5.83160i) q^{90} +(-2.49730 + 0.398619i) q^{91} +(3.08147 + 0.543347i) q^{92} +(-6.50750 + 13.9760i) q^{93} +(13.4381 - 2.36950i) q^{94} +(14.3422 - 2.52892i) q^{95} +(2.99474 + 4.27179i) q^{96} +(5.97585 + 1.05370i) q^{97} +(7.45452 - 8.31931i) q^{98} +(0.662233 + 3.73103i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.57155 0.277106i −1.11125 0.195944i −0.412255 0.911069i \(-0.635259\pi\)
−0.698997 + 0.715125i \(0.746370\pi\)
\(3\) 1.72554 + 0.149982i 0.996244 + 0.0865924i
\(4\) 0.513586 + 0.186930i 0.256793 + 0.0934650i
\(5\) 1.78318 + 0.649025i 0.797463 + 0.290253i 0.708435 0.705776i \(-0.249402\pi\)
0.0890280 + 0.996029i \(0.471624\pi\)
\(6\) −2.67021 0.713863i −1.09011 0.291434i
\(7\) −1.28547 2.31248i −0.485863 0.874035i
\(8\) 2.00866 + 1.15970i 0.710170 + 0.410017i
\(9\) 2.95501 + 0.517603i 0.985004 + 0.172534i
\(10\) −2.62250 1.51410i −0.829308 0.478801i
\(11\) 0.432011 + 1.18694i 0.130256 + 0.357876i 0.987627 0.156824i \(-0.0501256\pi\)
−0.857370 + 0.514700i \(0.827903\pi\)
\(12\) 0.858180 + 0.399585i 0.247735 + 0.115350i
\(13\) 0.326917 0.898197i 0.0906704 0.249115i −0.886066 0.463560i \(-0.846572\pi\)
0.976736 + 0.214445i \(0.0687942\pi\)
\(14\) 1.37938 + 3.99038i 0.368654 + 1.06647i
\(15\) 2.97962 + 1.38737i 0.769334 + 0.358217i
\(16\) −3.67271 3.08177i −0.918177 0.770442i
\(17\) −2.00687 + 3.47600i −0.486737 + 0.843053i −0.999884 0.0152477i \(-0.995146\pi\)
0.513147 + 0.858301i \(0.328480\pi\)
\(18\) −4.50051 1.63229i −1.06078 0.384734i
\(19\) 6.64640 3.83730i 1.52479 0.880338i 0.525221 0.850966i \(-0.323983\pi\)
0.999569 0.0293716i \(-0.00935062\pi\)
\(20\) 0.794495 + 0.666660i 0.177654 + 0.149070i
\(21\) −1.87131 4.18309i −0.408353 0.912824i
\(22\) −0.350017 1.98504i −0.0746239 0.423213i
\(23\) 5.63807 0.994145i 1.17562 0.207293i 0.448486 0.893790i \(-0.351963\pi\)
0.727133 + 0.686496i \(0.240852\pi\)
\(24\) 3.29211 + 2.30238i 0.671998 + 0.469972i
\(25\) −1.07172 0.899282i −0.214344 0.179856i
\(26\) −0.762661 + 1.32097i −0.149570 + 0.259063i
\(27\) 5.02137 + 1.33635i 0.966364 + 0.257180i
\(28\) −0.227929 1.42795i −0.0430745 0.269857i
\(29\) −1.22870 3.37583i −0.228164 0.626876i 0.771795 0.635871i \(-0.219359\pi\)
−0.999960 + 0.00899503i \(0.997137\pi\)
\(30\) −4.29816 3.00598i −0.784733 0.548815i
\(31\) −3.04428 + 8.36408i −0.546768 + 1.50223i 0.291280 + 0.956638i \(0.405919\pi\)
−0.838048 + 0.545596i \(0.816303\pi\)
\(32\) 1.93608 + 2.30734i 0.342255 + 0.407883i
\(33\) 0.567434 + 2.11291i 0.0987776 + 0.367811i
\(34\) 4.11711 4.90658i 0.706078 0.841471i
\(35\) −0.791374 4.95787i −0.133767 0.838033i
\(36\) 1.42090 + 0.818214i 0.236816 + 0.136369i
\(37\) −7.99870 −1.31498 −0.657489 0.753464i \(-0.728381\pi\)
−0.657489 + 0.753464i \(0.728381\pi\)
\(38\) −11.5085 + 4.18874i −1.86692 + 0.679504i
\(39\) 0.698824 1.50085i 0.111901 0.240328i
\(40\) 2.82914 + 3.37163i 0.447326 + 0.533102i
\(41\) −3.01647 1.09790i −0.471093 0.171464i 0.0955544 0.995424i \(-0.469538\pi\)
−0.566647 + 0.823960i \(0.691760\pi\)
\(42\) 1.78169 + 7.09246i 0.274921 + 1.09439i
\(43\) 0.111496 0.632326i 0.0170030 0.0964289i −0.975125 0.221654i \(-0.928854\pi\)
0.992128 + 0.125226i \(0.0399654\pi\)
\(44\) 0.690352i 0.104074i
\(45\) 4.93338 + 2.84085i 0.735425 + 0.423490i
\(46\) −9.13598 −1.34703
\(47\) −8.03521 + 2.92458i −1.17206 + 0.426593i −0.853389 0.521274i \(-0.825457\pi\)
−0.318666 + 0.947867i \(0.603235\pi\)
\(48\) −5.87521 5.86857i −0.848014 0.847055i
\(49\) −3.69512 + 5.94526i −0.527874 + 0.849323i
\(50\) 1.43506 + 1.71024i 0.202949 + 0.241865i
\(51\) −3.98428 + 5.69699i −0.557911 + 0.797739i
\(52\) 0.335800 0.400191i 0.0465671 0.0554965i
\(53\) −11.3329 + 6.54305i −1.55669 + 0.898757i −0.559123 + 0.829085i \(0.688862\pi\)
−0.997570 + 0.0696726i \(0.977805\pi\)
\(54\) −7.52101 3.49158i −1.02348 0.475144i
\(55\) 2.39691i 0.323200i
\(56\) 0.0997058 6.13576i 0.0133237 0.819926i
\(57\) 12.0442 5.62459i 1.59529 0.744996i
\(58\) 0.995499 + 5.64576i 0.130715 + 0.741324i
\(59\) −1.65418 + 1.38802i −0.215356 + 0.180705i −0.744084 0.668086i \(-0.767114\pi\)
0.528728 + 0.848791i \(0.322669\pi\)
\(60\) 1.27095 + 1.26951i 0.164079 + 0.163893i
\(61\) −1.05430 2.89668i −0.134990 0.370882i 0.853718 0.520735i \(-0.174342\pi\)
−0.988708 + 0.149853i \(0.952120\pi\)
\(62\) 7.10196 12.3010i 0.901950 1.56222i
\(63\) −2.60164 7.49876i −0.327776 0.944756i
\(64\) 2.39111 + 4.14152i 0.298889 + 0.517690i
\(65\) 1.16590 1.38947i 0.144613 0.172343i
\(66\) −0.306248 3.47778i −0.0376965 0.428085i
\(67\) 0.371427 + 2.10647i 0.0453770 + 0.257346i 0.999054 0.0434866i \(-0.0138466\pi\)
−0.953677 + 0.300833i \(0.902735\pi\)
\(68\) −1.68047 + 1.41008i −0.203787 + 0.170997i
\(69\) 9.87786 0.869829i 1.18915 0.104715i
\(70\) −0.130175 + 8.01082i −0.0155589 + 0.957476i
\(71\) −0.154696 + 0.0893139i −0.0183591 + 0.0105996i −0.509151 0.860677i \(-0.670041\pi\)
0.490792 + 0.871277i \(0.336707\pi\)
\(72\) 5.33536 + 4.46663i 0.628778 + 0.526397i
\(73\) 11.5040i 1.34644i −0.739443 0.673220i \(-0.764911\pi\)
0.739443 0.673220i \(-0.235089\pi\)
\(74\) 12.5703 + 2.21649i 1.46127 + 0.257662i
\(75\) −1.71443 1.71249i −0.197965 0.197741i
\(76\) 4.13081 0.728373i 0.473836 0.0835501i
\(77\) 2.18944 2.52480i 0.249509 0.287727i
\(78\) −1.51413 + 2.16500i −0.171441 + 0.245138i
\(79\) −0.211994 + 1.20228i −0.0238512 + 0.135267i −0.994408 0.105605i \(-0.966322\pi\)
0.970557 + 0.240872i \(0.0774333\pi\)
\(80\) −4.54896 7.87903i −0.508589 0.880902i
\(81\) 8.46417 + 3.05904i 0.940464 + 0.339894i
\(82\) 4.43628 + 2.56129i 0.489906 + 0.282847i
\(83\) −5.11532 + 1.86183i −0.561480 + 0.204362i −0.607140 0.794595i \(-0.707683\pi\)
0.0456599 + 0.998957i \(0.485461\pi\)
\(84\) −0.179134 2.49818i −0.0195452 0.272574i
\(85\) −5.83462 + 4.89582i −0.632853 + 0.531027i
\(86\) −0.350443 + 0.962834i −0.0377892 + 0.103825i
\(87\) −1.61386 6.00943i −0.173024 0.644279i
\(88\) −0.508733 + 2.88517i −0.0542311 + 0.307560i
\(89\) 2.81958 + 4.88366i 0.298875 + 0.517667i 0.975879 0.218313i \(-0.0700553\pi\)
−0.677004 + 0.735980i \(0.736722\pi\)
\(90\) −6.96582 5.83160i −0.734262 0.614705i
\(91\) −2.49730 + 0.398619i −0.261789 + 0.0417866i
\(92\) 3.08147 + 0.543347i 0.321266 + 0.0566478i
\(93\) −6.50750 + 13.9760i −0.674797 + 1.44925i
\(94\) 13.4381 2.36950i 1.38604 0.244396i
\(95\) 14.3422 2.52892i 1.47148 0.259462i
\(96\) 2.99474 + 4.27179i 0.305650 + 0.435988i
\(97\) 5.97585 + 1.05370i 0.606755 + 0.106987i 0.468581 0.883421i \(-0.344765\pi\)
0.138174 + 0.990408i \(0.455877\pi\)
\(98\) 7.45452 8.31931i 0.753020 0.840377i
\(99\) 0.662233 + 3.73103i 0.0665569 + 0.374983i
\(100\) −0.382319 0.662196i −0.0382319 0.0662196i
\(101\) 1.20524 6.83528i 0.119926 0.680136i −0.864266 0.503034i \(-0.832217\pi\)
0.984193 0.177101i \(-0.0566720\pi\)
\(102\) 7.84015 7.84903i 0.776291 0.777169i
\(103\) 4.40696 12.1080i 0.434231 1.19304i −0.508961 0.860790i \(-0.669970\pi\)
0.943192 0.332249i \(-0.107808\pi\)
\(104\) 1.69831 1.42505i 0.166533 0.139738i
\(105\) −0.621958 8.67372i −0.0606968 0.846469i
\(106\) 19.6233 7.14230i 1.90598 0.693721i
\(107\) −1.24002 0.715923i −0.119877 0.0692109i 0.438863 0.898554i \(-0.355381\pi\)
−0.558739 + 0.829343i \(0.688715\pi\)
\(108\) 2.32910 + 1.62497i 0.224118 + 0.156363i
\(109\) −0.946256 1.63896i −0.0906349 0.156984i 0.817144 0.576434i \(-0.195556\pi\)
−0.907778 + 0.419450i \(0.862223\pi\)
\(110\) 0.664200 3.76686i 0.0633289 0.359156i
\(111\) −13.8021 1.19966i −1.31004 0.113867i
\(112\) −2.40536 + 12.4546i −0.227285 + 1.17685i
\(113\) 0.855475 0.150843i 0.0804763 0.0141901i −0.133265 0.991080i \(-0.542546\pi\)
0.213741 + 0.976890i \(0.431435\pi\)
\(114\) −20.4866 + 5.50179i −1.91875 + 0.515290i
\(115\) 10.6989 + 1.88651i 0.997680 + 0.175918i
\(116\) 1.96346i 0.182303i
\(117\) 1.43095 2.48497i 0.132292 0.229735i
\(118\) 2.98425 1.72296i 0.274723 0.158611i
\(119\) 10.6179 + 0.172541i 0.973345 + 0.0158168i
\(120\) 4.37612 + 6.24223i 0.399483 + 0.569835i
\(121\) 7.20430 6.04512i 0.654936 0.549557i
\(122\) 0.854202 + 4.84442i 0.0773358 + 0.438593i
\(123\) −5.04038 2.34690i −0.454476 0.211613i
\(124\) −3.12700 + 3.72661i −0.280813 + 0.334659i
\(125\) −6.07147 10.5161i −0.543049 0.940588i
\(126\) 2.01064 + 12.5056i 0.179122 + 1.11409i
\(127\) −6.79273 + 11.7654i −0.602757 + 1.04401i 0.389644 + 0.920965i \(0.372598\pi\)
−0.992402 + 0.123041i \(0.960735\pi\)
\(128\) −4.67044 12.8319i −0.412812 1.13419i
\(129\) 0.287230 1.07439i 0.0252892 0.0945943i
\(130\) −2.21730 + 1.86054i −0.194470 + 0.163180i
\(131\) 1.57513 + 8.93299i 0.137620 + 0.780479i 0.973000 + 0.230807i \(0.0741364\pi\)
−0.835380 + 0.549673i \(0.814752\pi\)
\(132\) −0.103541 + 1.19123i −0.00901205 + 0.103684i
\(133\) −17.4175 10.4369i −1.51028 0.904996i
\(134\) 3.41334i 0.294867i
\(135\) 8.08669 + 5.64194i 0.695992 + 0.485581i
\(136\) −8.06225 + 4.65474i −0.691332 + 0.399141i
\(137\) −12.9124 + 15.3884i −1.10318 + 1.31472i −0.158263 + 0.987397i \(0.550590\pi\)
−0.944914 + 0.327319i \(0.893855\pi\)
\(138\) −15.7645 1.37024i −1.34197 0.116642i
\(139\) 4.91571 + 5.85831i 0.416945 + 0.496895i 0.933109 0.359594i \(-0.117085\pi\)
−0.516164 + 0.856490i \(0.672640\pi\)
\(140\) 0.520337 2.69423i 0.0439765 0.227704i
\(141\) −14.3037 + 3.84135i −1.20459 + 0.323500i
\(142\) 0.267862 0.0974937i 0.0224785 0.00818149i
\(143\) 1.20734 0.100963
\(144\) −9.25776 11.0077i −0.771480 0.917305i
\(145\) 6.81717i 0.566135i
\(146\) −3.18782 + 18.0790i −0.263826 + 1.49623i
\(147\) −7.26778 + 9.70461i −0.599436 + 0.800422i
\(148\) −4.10802 1.49520i −0.337677 0.122904i
\(149\) 4.75604 + 5.66803i 0.389630 + 0.464343i 0.924829 0.380383i \(-0.124208\pi\)
−0.535199 + 0.844726i \(0.679763\pi\)
\(150\) 2.21976 + 3.16634i 0.181243 + 0.258530i
\(151\) 5.79884 2.11061i 0.471903 0.171759i −0.0951111 0.995467i \(-0.530321\pi\)
0.567014 + 0.823708i \(0.308098\pi\)
\(152\) 17.8005 1.44381
\(153\) −7.72950 + 9.23285i −0.624893 + 0.746432i
\(154\) −4.14044 + 3.36113i −0.333646 + 0.270847i
\(155\) −10.8570 + 12.9389i −0.872055 + 1.03927i
\(156\) 0.639460 0.640183i 0.0511977 0.0512557i
\(157\) −12.2082 14.5492i −0.974322 1.16115i −0.986917 0.161232i \(-0.948453\pi\)
0.0125942 0.999921i \(-0.495991\pi\)
\(158\) 0.666317 1.83069i 0.0530093 0.145642i
\(159\) −20.5368 + 9.59059i −1.62867 + 0.760584i
\(160\) 1.95487 + 5.37096i 0.154546 + 0.424612i
\(161\) −9.54653 11.7600i −0.752372 0.926817i
\(162\) −12.4542 7.15290i −0.978492 0.561985i
\(163\) −0.709039 + 1.22809i −0.0555362 + 0.0961915i −0.892457 0.451133i \(-0.851020\pi\)
0.836921 + 0.547324i \(0.184353\pi\)
\(164\) −1.34398 1.12774i −0.104948 0.0880615i
\(165\) −0.359495 + 4.13598i −0.0279866 + 0.321986i
\(166\) 8.55489 1.50846i 0.663989 0.117079i
\(167\) −2.73878 15.5324i −0.211933 1.20193i −0.886150 0.463398i \(-0.846630\pi\)
0.674217 0.738533i \(-0.264481\pi\)
\(168\) 1.09230 10.5726i 0.0842730 0.815692i
\(169\) 9.25869 + 7.76897i 0.712207 + 0.597613i
\(170\) 10.5260 6.07721i 0.807310 0.466101i
\(171\) 21.6264 7.89907i 1.65381 0.604057i
\(172\) 0.175464 0.303912i 0.0133790 0.0231731i
\(173\) −8.35696 7.01232i −0.635368 0.533137i 0.267224 0.963634i \(-0.413894\pi\)
−0.902592 + 0.430497i \(0.858338\pi\)
\(174\) 0.871014 + 9.89131i 0.0660314 + 0.749859i
\(175\) −0.701901 + 3.63434i −0.0530587 + 0.274730i
\(176\) 2.07122 5.69064i 0.156124 0.428948i
\(177\) −3.06254 + 2.14700i −0.230195 + 0.161378i
\(178\) −3.07781 8.45622i −0.230692 0.633821i
\(179\) 20.4739 + 11.8206i 1.53029 + 0.883515i 0.999348 + 0.0361087i \(0.0114963\pi\)
0.530945 + 0.847406i \(0.321837\pi\)
\(180\) 2.00267 + 2.38122i 0.149271 + 0.177486i
\(181\) 18.7421 + 10.8208i 1.39309 + 0.804301i 0.993656 0.112461i \(-0.0358733\pi\)
0.399434 + 0.916762i \(0.369207\pi\)
\(182\) 4.03509 + 0.0655700i 0.299101 + 0.00486037i
\(183\) −1.38480 5.15647i −0.102367 0.381178i
\(184\) 12.4779 + 4.54159i 0.919884 + 0.334810i
\(185\) −14.2631 5.19135i −1.04865 0.381676i
\(186\) 14.0997 20.1607i 1.03384 1.47825i
\(187\) −4.99279 0.880363i −0.365109 0.0643786i
\(188\) −4.67346 −0.340847
\(189\) −3.36456 13.3297i −0.244736 0.969590i
\(190\) −23.2403 −1.68603
\(191\) 21.5750 + 3.80425i 1.56111 + 0.275266i 0.886437 0.462849i \(-0.153173\pi\)
0.674675 + 0.738115i \(0.264284\pi\)
\(192\) 3.50481 + 7.50501i 0.252938 + 0.541627i
\(193\) −13.6881 4.98206i −0.985290 0.358616i −0.201396 0.979510i \(-0.564548\pi\)
−0.783895 + 0.620894i \(0.786770\pi\)
\(194\) −9.09934 3.31189i −0.653294 0.237780i
\(195\) 2.22022 2.22273i 0.158993 0.159173i
\(196\) −3.00911 + 2.36267i −0.214936 + 0.168762i
\(197\) −2.06396 1.19163i −0.147051 0.0849001i 0.424669 0.905349i \(-0.360390\pi\)
−0.571720 + 0.820449i \(0.693724\pi\)
\(198\) −0.00683910 6.04700i −0.000486033 0.429741i
\(199\) 8.88525 + 5.12990i 0.629859 + 0.363649i 0.780697 0.624909i \(-0.214864\pi\)
−0.150839 + 0.988558i \(0.548197\pi\)
\(200\) −1.10983 3.04923i −0.0784769 0.215613i
\(201\) 0.324981 + 3.69051i 0.0229224 + 0.260309i
\(202\) −3.78819 + 10.4080i −0.266536 + 0.732303i
\(203\) −6.22708 + 7.18089i −0.437055 + 0.503999i
\(204\) −3.11121 + 2.18112i −0.217828 + 0.152709i
\(205\) −4.66634 3.91552i −0.325911 0.273472i
\(206\) −10.2810 + 17.8071i −0.716308 + 1.24068i
\(207\) 17.1751 0.0194249i 1.19375 0.00135013i
\(208\) −3.96870 + 2.29133i −0.275180 + 0.158875i
\(209\) 7.42597 + 6.23113i 0.513665 + 0.431016i
\(210\) −1.42611 + 13.8035i −0.0984107 + 0.952533i
\(211\) −1.98228 11.2421i −0.136466 0.773938i −0.973828 0.227288i \(-0.927014\pi\)
0.837361 0.546650i \(-0.184097\pi\)
\(212\) −7.04351 + 1.24196i −0.483750 + 0.0852982i
\(213\) −0.280331 + 0.130913i −0.0192079 + 0.00897004i
\(214\) 1.75036 + 1.46872i 0.119652 + 0.100400i
\(215\) 0.609213 1.05519i 0.0415480 0.0719632i
\(216\) 8.53649 + 8.50757i 0.580834 + 0.578867i
\(217\) 23.2551 3.71197i 1.57866 0.251985i
\(218\) 1.03292 + 2.83792i 0.0699581 + 0.192208i
\(219\) 1.72540 19.8506i 0.116591 1.34138i
\(220\) −0.448055 + 1.23102i −0.0302079 + 0.0829955i
\(221\) 2.46605 + 2.93892i 0.165885 + 0.197693i
\(222\) 21.3582 + 5.70998i 1.43347 + 0.383229i
\(223\) 7.05545 8.40836i 0.472468 0.563065i −0.476201 0.879336i \(-0.657987\pi\)
0.948669 + 0.316271i \(0.102431\pi\)
\(224\) 2.84688 7.44317i 0.190215 0.497318i
\(225\) −2.70148 3.21211i −0.180099 0.214141i
\(226\) −1.38622 −0.0922098
\(227\) 14.1429 5.14758i 0.938695 0.341657i 0.173045 0.984914i \(-0.444639\pi\)
0.765650 + 0.643257i \(0.222417\pi\)
\(228\) 7.23714 0.637292i 0.479291 0.0422057i
\(229\) −14.4445 17.2142i −0.954517 1.13755i −0.990405 0.138193i \(-0.955871\pi\)
0.0358884 0.999356i \(-0.488574\pi\)
\(230\) −16.2911 5.92948i −1.07420 0.390978i
\(231\) 4.15665 4.02827i 0.273487 0.265041i
\(232\) 1.44691 8.20584i 0.0949944 0.538740i
\(233\) 29.3420i 1.92226i 0.276103 + 0.961128i \(0.410957\pi\)
−0.276103 + 0.961128i \(0.589043\pi\)
\(234\) −2.93741 + 3.50872i −0.192024 + 0.229372i
\(235\) −16.2263 −1.05849
\(236\) −1.10903 + 0.403653i −0.0721915 + 0.0262756i
\(237\) −0.546126 + 2.04279i −0.0354747 + 0.132693i
\(238\) −16.6388 3.21345i −1.07853 0.208297i
\(239\) −17.8608 21.2856i −1.15532 1.37685i −0.913655 0.406491i \(-0.866752\pi\)
−0.241661 0.970361i \(-0.577692\pi\)
\(240\) −6.66772 14.2779i −0.430399 0.921633i
\(241\) 0.0482410 0.0574914i 0.00310747 0.00370334i −0.764488 0.644637i \(-0.777008\pi\)
0.767596 + 0.640934i \(0.221453\pi\)
\(242\) −12.9970 + 7.50384i −0.835481 + 0.482365i
\(243\) 14.1465 + 6.54799i 0.907499 + 0.420054i
\(244\) 1.68477i 0.107857i
\(245\) −10.4477 + 8.20324i −0.667478 + 0.524086i
\(246\) 7.27086 + 5.08498i 0.463573 + 0.324207i
\(247\) −1.27383 7.22426i −0.0810519 0.459668i
\(248\) −15.8148 + 13.2702i −1.00424 + 0.842657i
\(249\) −9.10596 + 2.44546i −0.577067 + 0.154974i
\(250\) 6.62753 + 18.2090i 0.419162 + 1.15164i
\(251\) 9.64254 16.7014i 0.608632 1.05418i −0.382834 0.923817i \(-0.625052\pi\)
0.991466 0.130364i \(-0.0416147\pi\)
\(252\) 0.0655786 4.33759i 0.00413106 0.273242i
\(253\) 3.61570 + 6.26258i 0.227317 + 0.393725i
\(254\) 13.9353 16.6075i 0.874381 1.04205i
\(255\) −10.8022 + 7.57288i −0.676459 + 0.474232i
\(256\) 2.12316 + 12.0410i 0.132697 + 0.752565i
\(257\) 2.39043 2.00581i 0.149111 0.125119i −0.565180 0.824967i \(-0.691193\pi\)
0.714292 + 0.699848i \(0.246749\pi\)
\(258\) −0.749113 + 1.60885i −0.0466378 + 0.100163i
\(259\) 10.2821 + 18.4968i 0.638899 + 1.14934i
\(260\) 0.858526 0.495670i 0.0532435 0.0307402i
\(261\) −1.88349 10.6116i −0.116585 0.656841i
\(262\) 14.4751i 0.894274i
\(263\) −4.30219 0.758592i −0.265284 0.0467768i 0.0394238 0.999223i \(-0.487448\pi\)
−0.304708 + 0.952446i \(0.598559\pi\)
\(264\) −1.31057 + 4.90219i −0.0806598 + 0.301709i
\(265\) −24.4552 + 4.31211i −1.50227 + 0.264891i
\(266\) 24.4802 + 21.2286i 1.50098 + 1.30161i
\(267\) 4.13285 + 8.84986i 0.252926 + 0.541603i
\(268\) −0.203002 + 1.15128i −0.0124003 + 0.0703258i
\(269\) −0.429514 0.743940i −0.0261879 0.0453588i 0.852634 0.522508i \(-0.175003\pi\)
−0.878822 + 0.477149i \(0.841670\pi\)
\(270\) −11.1452 11.1074i −0.678275 0.675978i
\(271\) 4.73193 + 2.73198i 0.287444 + 0.165956i 0.636789 0.771038i \(-0.280262\pi\)
−0.349344 + 0.936994i \(0.613596\pi\)
\(272\) 18.0829 6.58162i 1.09643 0.399069i
\(273\) −4.36900 + 0.313283i −0.264424 + 0.0189608i
\(274\) 24.5566 20.6054i 1.48352 1.24482i
\(275\) 0.604398 1.66057i 0.0364466 0.100136i
\(276\) 5.23573 + 1.39974i 0.315154 + 0.0842542i
\(277\) −3.39626 + 19.2611i −0.204061 + 1.15729i 0.694848 + 0.719156i \(0.255471\pi\)
−0.898910 + 0.438134i \(0.855640\pi\)
\(278\) −6.10189 10.5688i −0.365967 0.633873i
\(279\) −13.3251 + 23.1402i −0.797756 + 1.38537i
\(280\) 4.16005 10.8765i 0.248611 0.649993i
\(281\) −13.1907 2.32587i −0.786890 0.138750i −0.234257 0.972175i \(-0.575266\pi\)
−0.552633 + 0.833425i \(0.686377\pi\)
\(282\) 23.5435 2.07320i 1.40199 0.123457i
\(283\) 10.5946 1.86812i 0.629786 0.111048i 0.150361 0.988631i \(-0.451956\pi\)
0.479425 + 0.877583i \(0.340845\pi\)
\(284\) −0.0961453 + 0.0169530i −0.00570517 + 0.00100598i
\(285\) 25.1275 2.21269i 1.48842 0.131068i
\(286\) −1.89739 0.334561i −0.112195 0.0197830i
\(287\) 1.33871 + 8.38684i 0.0790213 + 0.495060i
\(288\) 4.52687 + 7.82033i 0.266748 + 0.460817i
\(289\) 0.444961 + 0.770696i 0.0261742 + 0.0453350i
\(290\) −1.88908 + 10.7135i −0.110931 + 0.629119i
\(291\) 10.1536 + 2.71448i 0.595212 + 0.159126i
\(292\) 2.15044 5.90829i 0.125845 0.345756i
\(293\) −6.87623 + 5.76984i −0.401714 + 0.337078i −0.821156 0.570704i \(-0.806670\pi\)
0.419442 + 0.907782i \(0.362226\pi\)
\(294\) 14.1109 13.2373i 0.822962 0.772015i
\(295\) −3.85056 + 1.40149i −0.224188 + 0.0815979i
\(296\) −16.0667 9.27612i −0.933858 0.539163i
\(297\) 0.583124 + 6.53738i 0.0338363 + 0.379337i
\(298\) −5.90370 10.2255i −0.341992 0.592348i
\(299\) 0.950244 5.38910i 0.0549540 0.311660i
\(300\) −0.560391 1.19999i −0.0323542 0.0692814i
\(301\) −1.60557 + 0.555006i −0.0925433 + 0.0319900i
\(302\) −9.69802 + 1.71002i −0.558058 + 0.0984007i
\(303\) 3.10487 11.6138i 0.178370 0.667196i
\(304\) −36.2360 6.38938i −2.07828 0.366456i
\(305\) 5.84957i 0.334945i
\(306\) 14.7058 12.3680i 0.840672 0.707029i
\(307\) −17.4494 + 10.0744i −0.995890 + 0.574977i −0.907030 0.421067i \(-0.861656\pi\)
−0.0888603 + 0.996044i \(0.528322\pi\)
\(308\) 1.59642 0.887428i 0.0909647 0.0505659i
\(309\) 9.42040 20.2320i 0.535908 1.15096i
\(310\) 20.6477 17.3255i 1.17271 0.984021i
\(311\) 0.493149 + 2.79678i 0.0279639 + 0.158591i 0.995592 0.0937888i \(-0.0298978\pi\)
−0.967628 + 0.252380i \(0.918787\pi\)
\(312\) 3.14424 2.20427i 0.178008 0.124792i
\(313\) 5.99493 7.14448i 0.338853 0.403830i −0.569528 0.821972i \(-0.692874\pi\)
0.908382 + 0.418142i \(0.137319\pi\)
\(314\) 15.1541 + 26.2477i 0.855197 + 1.48124i
\(315\) 0.227690 15.0602i 0.0128289 0.848545i
\(316\) −0.333619 + 0.577845i −0.0187675 + 0.0325063i
\(317\) −6.03103 16.5701i −0.338736 0.930670i −0.985754 0.168195i \(-0.946206\pi\)
0.647018 0.762475i \(-0.276016\pi\)
\(318\) 34.9321 9.38120i 1.95889 0.526072i
\(319\) 3.47610 2.91679i 0.194624 0.163309i
\(320\) 1.57583 + 8.93697i 0.0880915 + 0.499592i
\(321\) −2.03233 1.42134i −0.113433 0.0793314i
\(322\) 11.7441 + 21.1268i 0.654471 + 1.17735i
\(323\) 30.8038i 1.71397i
\(324\) 3.77526 + 3.15329i 0.209736 + 0.175183i
\(325\) −1.15810 + 0.668627i −0.0642396 + 0.0370887i
\(326\) 1.45460 1.73352i 0.0805628 0.0960110i
\(327\) −1.38699 2.97003i −0.0767008 0.164243i
\(328\) −4.78583 5.70353i −0.264253 0.314925i
\(329\) 17.0921 + 14.8218i 0.942316 + 0.817151i
\(330\) 1.71107 6.40027i 0.0941913 0.352323i
\(331\) −25.7166 + 9.36008i −1.41351 + 0.514476i −0.932159 0.362050i \(-0.882077\pi\)
−0.481353 + 0.876527i \(0.659855\pi\)
\(332\) −2.97519 −0.163285
\(333\) −23.6362 4.14015i −1.29526 0.226879i
\(334\) 25.1688i 1.37718i
\(335\) −0.704828 + 3.99728i −0.0385089 + 0.218395i
\(336\) −6.01852 + 21.1302i −0.328337 + 1.15275i
\(337\) −14.1672 5.15645i −0.771738 0.280889i −0.0740145 0.997257i \(-0.523581\pi\)
−0.697723 + 0.716368i \(0.745803\pi\)
\(338\) −12.3976 14.7749i −0.674343 0.803651i
\(339\) 1.49878 0.131981i 0.0814028 0.00716821i
\(340\) −3.91175 + 1.42376i −0.212145 + 0.0772144i
\(341\) −11.2428 −0.608833
\(342\) −36.1758 + 6.42096i −1.95616 + 0.347206i
\(343\) 18.4983 + 0.902423i 0.998812 + 0.0487262i
\(344\) 0.957269 1.14083i 0.0516125 0.0615094i
\(345\) 18.1785 + 4.85991i 0.978700 + 0.261649i
\(346\) 11.1902 + 13.3360i 0.601589 + 0.716946i
\(347\) 8.28375 22.7594i 0.444695 1.22179i −0.491677 0.870778i \(-0.663616\pi\)
0.936371 0.351011i \(-0.114162\pi\)
\(348\) 0.294485 3.38804i 0.0157860 0.181618i
\(349\) −1.92048 5.27647i −0.102801 0.282443i 0.877620 0.479357i \(-0.159130\pi\)
−0.980421 + 0.196914i \(0.936908\pi\)
\(350\) 2.11017 5.51703i 0.112793 0.294898i
\(351\) 2.84187 4.07331i 0.151688 0.217417i
\(352\) −1.90226 + 3.29481i −0.101391 + 0.175614i
\(353\) 16.6130 + 13.9399i 0.884218 + 0.741947i 0.967042 0.254617i \(-0.0819494\pi\)
−0.0828238 + 0.996564i \(0.526394\pi\)
\(354\) 5.40787 2.52546i 0.287425 0.134226i
\(355\) −0.333818 + 0.0588611i −0.0177172 + 0.00312403i
\(356\) 0.535195 + 3.03524i 0.0283653 + 0.160868i
\(357\) 18.2959 + 1.89023i 0.968320 + 0.100042i
\(358\) −28.9002 24.2501i −1.52742 1.28166i
\(359\) −19.0007 + 10.9700i −1.00282 + 0.578976i −0.909080 0.416621i \(-0.863214\pi\)
−0.0937359 + 0.995597i \(0.529881\pi\)
\(360\) 6.61496 + 11.4276i 0.348639 + 0.602286i
\(361\) 19.9498 34.5540i 1.04999 1.81863i
\(362\) −26.4556 22.1989i −1.39048 1.16675i
\(363\) 13.3380 9.35061i 0.700063 0.490780i
\(364\) −1.35709 0.262096i −0.0711311 0.0137376i
\(365\) 7.46637 20.5137i 0.390808 1.07374i
\(366\) 0.747386 + 8.48738i 0.0390665 + 0.443642i
\(367\) −3.89839 10.7107i −0.203494 0.559096i 0.795401 0.606083i \(-0.207260\pi\)
−0.998895 + 0.0469871i \(0.985038\pi\)
\(368\) −23.7707 13.7240i −1.23913 0.715415i
\(369\) −8.34542 4.80565i −0.434445 0.250172i
\(370\) 20.9766 + 12.1109i 1.09052 + 0.629613i
\(371\) 29.6988 + 17.7962i 1.54188 + 0.923931i
\(372\) −5.95470 + 5.96144i −0.308737 + 0.309086i
\(373\) 35.2170 + 12.8179i 1.82346 + 0.663687i 0.994544 + 0.104322i \(0.0332672\pi\)
0.828921 + 0.559365i \(0.188955\pi\)
\(374\) 7.60245 + 2.76706i 0.393113 + 0.143082i
\(375\) −8.89937 19.0566i −0.459561 0.984079i
\(376\) −19.5317 3.44396i −1.00727 0.177609i
\(377\) −3.43384 −0.176852
\(378\) 1.59384 + 21.8805i 0.0819783 + 1.12541i
\(379\) 4.71335 0.242108 0.121054 0.992646i \(-0.461373\pi\)
0.121054 + 0.992646i \(0.461373\pi\)
\(380\) 7.83871 + 1.38218i 0.402117 + 0.0709041i
\(381\) −13.4858 + 19.2829i −0.690896 + 0.987890i
\(382\) −32.8519 11.9571i −1.68085 0.611780i
\(383\) 7.04901 + 2.56563i 0.360188 + 0.131098i 0.515774 0.856725i \(-0.327504\pi\)
−0.155586 + 0.987822i \(0.549727\pi\)
\(384\) −6.13449 22.8425i −0.313049 1.16568i
\(385\) 5.54281 3.08117i 0.282488 0.157031i
\(386\) 20.1309 + 11.6226i 1.02464 + 0.591574i
\(387\) 0.656766 1.81082i 0.0333853 0.0920492i
\(388\) 2.87214 + 1.65823i 0.145811 + 0.0841840i
\(389\) 7.89174 + 21.6824i 0.400127 + 1.09934i 0.962222 + 0.272267i \(0.0877735\pi\)
−0.562094 + 0.827073i \(0.690004\pi\)
\(390\) −4.10510 + 2.87789i −0.207870 + 0.145727i
\(391\) −7.85923 + 21.5931i −0.397458 + 1.09201i
\(392\) −14.3170 + 7.65679i −0.723117 + 0.386726i
\(393\) 1.37816 + 15.6505i 0.0695191 + 0.789464i
\(394\) 2.91341 + 2.44464i 0.146775 + 0.123159i
\(395\) −1.15833 + 2.00629i −0.0582820 + 0.100947i
\(396\) −0.357328 + 2.04000i −0.0179564 + 0.102514i
\(397\) 15.0855 8.70960i 0.757118 0.437122i −0.0711419 0.997466i \(-0.522664\pi\)
0.828260 + 0.560344i \(0.189331\pi\)
\(398\) −12.5421 10.5240i −0.628677 0.527522i
\(399\) −28.4892 20.6217i −1.42625 1.03238i
\(400\) 1.16475 + 6.60560i 0.0582373 + 0.330280i
\(401\) −21.1914 + 3.73662i −1.05825 + 0.186598i −0.675579 0.737287i \(-0.736106\pi\)
−0.382670 + 0.923885i \(0.624995\pi\)
\(402\) 0.511941 5.88987i 0.0255333 0.293760i
\(403\) 6.51737 + 5.46872i 0.324653 + 0.272416i
\(404\) 1.89672 3.28521i 0.0943651 0.163445i
\(405\) 13.1078 + 10.9483i 0.651330 + 0.544025i
\(406\) 11.7760 9.55954i 0.584433 0.474432i
\(407\) −3.45553 9.49398i −0.171284 0.470599i
\(408\) −14.6099 + 6.82277i −0.723298 + 0.337778i
\(409\) 9.10354 25.0118i 0.450141 1.23675i −0.482484 0.875905i \(-0.660265\pi\)
0.932625 0.360847i \(-0.117512\pi\)
\(410\) 6.24836 + 7.44650i 0.308584 + 0.367756i
\(411\) −24.5888 + 24.6167i −1.21288 + 1.21425i
\(412\) 4.52671 5.39472i 0.223015 0.265779i
\(413\) 5.33618 + 2.04099i 0.262576 + 0.100431i
\(414\) −26.9969 4.72881i −1.32683 0.232408i
\(415\) −10.3299 −0.507076
\(416\) 2.70538 0.984678i 0.132642 0.0482778i
\(417\) 7.60363 + 10.8460i 0.372351 + 0.531133i
\(418\) −9.94357 11.8503i −0.486356 0.579616i
\(419\) 5.47160 + 1.99150i 0.267305 + 0.0972911i 0.472196 0.881494i \(-0.343462\pi\)
−0.204890 + 0.978785i \(0.565684\pi\)
\(420\) 1.30195 4.57097i 0.0635287 0.223040i
\(421\) −0.858573 + 4.86921i −0.0418443 + 0.237311i −0.998556 0.0537277i \(-0.982890\pi\)
0.956711 + 0.291039i \(0.0940008\pi\)
\(422\) 18.2168i 0.886779i
\(423\) −25.2579 + 4.48311i −1.22808 + 0.217976i
\(424\) −30.3520 −1.47402
\(425\) 5.27670 1.92056i 0.255958 0.0931610i
\(426\) 0.476830 0.128055i 0.0231025 0.00620429i
\(427\) −5.34323 + 6.16166i −0.258577 + 0.298183i
\(428\) −0.503027 0.599485i −0.0243147 0.0289772i
\(429\) 2.08331 + 0.181079i 0.100583 + 0.00874259i
\(430\) −1.24981 + 1.48946i −0.0602710 + 0.0718282i
\(431\) 10.1898 5.88309i 0.490826 0.283378i −0.234091 0.972215i \(-0.575211\pi\)
0.724917 + 0.688836i \(0.241878\pi\)
\(432\) −14.3237 20.3827i −0.689151 0.980664i
\(433\) 28.6389i 1.37630i −0.725569 0.688150i \(-0.758423\pi\)
0.725569 0.688150i \(-0.241577\pi\)
\(434\) −37.5751 0.610593i −1.80366 0.0293094i
\(435\) 1.02246 11.7633i 0.0490230 0.564009i
\(436\) −0.179612 1.01863i −0.00860187 0.0487836i
\(437\) 33.6581 28.2425i 1.61008 1.35102i
\(438\) −8.21227 + 30.7181i −0.392398 + 1.46777i
\(439\) 3.67117 + 10.0865i 0.175216 + 0.481401i 0.995950 0.0899091i \(-0.0286577\pi\)
−0.820734 + 0.571310i \(0.806435\pi\)
\(440\) −2.77971 + 4.81460i −0.132517 + 0.229527i
\(441\) −13.9964 + 15.6557i −0.666495 + 0.745509i
\(442\) −3.06112 5.30202i −0.145603 0.252191i
\(443\) 10.3006 12.2757i 0.489394 0.583237i −0.463669 0.886008i \(-0.653467\pi\)
0.953063 + 0.302771i \(0.0979118\pi\)
\(444\) −6.86432 3.19616i −0.325766 0.151683i
\(445\) 1.85821 + 10.5384i 0.0880875 + 0.499569i
\(446\) −13.4180 + 11.2590i −0.635360 + 0.533130i
\(447\) 7.35666 + 10.4938i 0.347958 + 0.496338i
\(448\) 6.50348 10.8532i 0.307261 0.512766i
\(449\) −15.5368 + 8.97017i −0.733226 + 0.423328i −0.819601 0.572934i \(-0.805805\pi\)
0.0863750 + 0.996263i \(0.472472\pi\)
\(450\) 3.35540 + 5.79658i 0.158175 + 0.273253i
\(451\) 4.05467i 0.190927i
\(452\) 0.467557 + 0.0824429i 0.0219920 + 0.00387779i
\(453\) 10.3227 2.77222i 0.485004 0.130250i
\(454\) −23.6526 + 4.17059i −1.11007 + 0.195736i
\(455\) −4.71186 0.910003i −0.220895 0.0426616i
\(456\) 30.7156 + 2.66977i 1.43839 + 0.125023i
\(457\) −3.98062 + 22.5752i −0.186205 + 1.05602i 0.738191 + 0.674591i \(0.235680\pi\)
−0.924397 + 0.381432i \(0.875431\pi\)
\(458\) 17.9300 + 31.0556i 0.837813 + 1.45113i
\(459\) −14.7224 + 14.7724i −0.687181 + 0.689517i
\(460\) 5.14218 + 2.96884i 0.239755 + 0.138423i
\(461\) 11.2905 4.10942i 0.525852 0.191395i −0.0654330 0.997857i \(-0.520843\pi\)
0.591285 + 0.806462i \(0.298621\pi\)
\(462\) −7.64862 + 5.17878i −0.355846 + 0.240939i
\(463\) −0.859491 + 0.721198i −0.0399439 + 0.0335169i −0.662541 0.749026i \(-0.730522\pi\)
0.622597 + 0.782543i \(0.286078\pi\)
\(464\) −5.89086 + 16.1850i −0.273476 + 0.751370i
\(465\) −20.6748 + 20.6982i −0.958772 + 0.959857i
\(466\) 8.13084 46.1123i 0.376654 2.13611i
\(467\) −6.58419 11.4042i −0.304680 0.527721i 0.672510 0.740088i \(-0.265216\pi\)
−0.977190 + 0.212367i \(0.931883\pi\)
\(468\) 1.19943 1.00876i 0.0554438 0.0466298i
\(469\) 4.39370 3.56672i 0.202882 0.164696i
\(470\) 25.5005 + 4.49642i 1.17625 + 0.207404i
\(471\) −18.8837 26.9363i −0.870116 1.24116i
\(472\) −4.93239 + 0.869713i −0.227032 + 0.0400318i
\(473\) 0.798701 0.140833i 0.0367243 0.00647549i
\(474\) 1.42433 3.05900i 0.0654217 0.140505i
\(475\) −10.5739 1.86447i −0.485164 0.0855476i
\(476\) 5.42098 + 2.07343i 0.248470 + 0.0950354i
\(477\) −36.8755 + 13.4688i −1.68841 + 0.616696i
\(478\) 22.1706 + 38.4007i 1.01406 + 1.75641i
\(479\) 3.88749 22.0470i 0.177624 1.00736i −0.757448 0.652896i \(-0.773554\pi\)
0.935071 0.354459i \(-0.115335\pi\)
\(480\) 2.56767 + 9.56104i 0.117197 + 0.436400i
\(481\) −2.61491 + 7.18441i −0.119230 + 0.327581i
\(482\) −0.0917442 + 0.0769825i −0.00417883 + 0.00350646i
\(483\) −14.7092 21.7242i −0.669291 0.988485i
\(484\) 4.83004 1.75799i 0.219547 0.0799087i
\(485\) 9.97214 + 5.75742i 0.452811 + 0.261431i
\(486\) −20.4174 14.2106i −0.926153 0.644604i
\(487\) 14.1370 + 24.4860i 0.640609 + 1.10957i 0.985297 + 0.170850i \(0.0546514\pi\)
−0.344688 + 0.938717i \(0.612015\pi\)
\(488\) 1.24154 7.04114i 0.0562020 0.318737i
\(489\) −1.40767 + 2.01278i −0.0636571 + 0.0910212i
\(490\) 18.6922 9.99666i 0.844427 0.451603i
\(491\) 36.4384 6.42508i 1.64444 0.289960i 0.726647 0.687012i \(-0.241078\pi\)
0.917796 + 0.397052i \(0.129967\pi\)
\(492\) −2.14997 2.14753i −0.0969279 0.0968184i
\(493\) 14.2002 + 2.50388i 0.639546 + 0.112769i
\(494\) 11.7062i 0.526689i
\(495\) −1.24065 + 7.08291i −0.0557630 + 0.318353i
\(496\) 36.9569 21.3371i 1.65941 0.958063i
\(497\) 0.405394 + 0.242921i 0.0181844 + 0.0108965i
\(498\) 14.9881 1.31983i 0.671633 0.0591430i
\(499\) −12.5678 + 10.5456i −0.562611 + 0.472087i −0.879185 0.476481i \(-0.841912\pi\)
0.316573 + 0.948568i \(0.397468\pi\)
\(500\) −1.15245 6.53586i −0.0515391 0.292293i
\(501\) −2.39630 27.2126i −0.107059 1.21577i
\(502\) −19.7818 + 23.5750i −0.882903 + 1.05220i
\(503\) −4.98173 8.62860i −0.222124 0.384730i 0.733329 0.679874i \(-0.237966\pi\)
−0.955453 + 0.295144i \(0.904632\pi\)
\(504\) 3.47052 18.0796i 0.154589 0.805331i
\(505\) 6.58543 11.4063i 0.293048 0.507574i
\(506\) −3.94684 10.8439i −0.175459 0.482068i
\(507\) 14.8111 + 14.7943i 0.657783 + 0.657040i
\(508\) −5.68795 + 4.77276i −0.252362 + 0.211757i
\(509\) 1.19429 + 6.77313i 0.0529358 + 0.300214i 0.999769 0.0215123i \(-0.00684812\pi\)
−0.946833 + 0.321726i \(0.895737\pi\)
\(510\) 19.0746 8.90778i 0.844638 0.394443i
\(511\) −26.6027 + 14.7881i −1.17684 + 0.654185i
\(512\) 7.79950i 0.344692i
\(513\) 38.5020 10.3866i 1.69991 0.458581i
\(514\) −4.31250 + 2.48982i −0.190216 + 0.109821i
\(515\) 15.7168 18.7306i 0.692566 0.825367i
\(516\) 0.348352 0.498097i 0.0153353 0.0219275i
\(517\) −6.94259 8.27386i −0.305335 0.363884i
\(518\) −11.0332 31.9179i −0.484772 1.40239i
\(519\) −13.3686 13.3535i −0.586816 0.586152i
\(520\) 3.95328 1.43888i 0.173363 0.0630989i
\(521\) −13.4866 −0.590858 −0.295429 0.955365i \(-0.595463\pi\)
−0.295429 + 0.955365i \(0.595463\pi\)
\(522\) 0.0194514 + 17.1985i 0.000851364 + 0.752760i
\(523\) 34.9984i 1.53038i 0.643807 + 0.765188i \(0.277354\pi\)
−0.643807 + 0.765188i \(0.722646\pi\)
\(524\) −0.860881 + 4.88230i −0.0376078 + 0.213284i
\(525\) −1.75625 + 6.16594i −0.0766489 + 0.269104i
\(526\) 6.55088 + 2.38432i 0.285632 + 0.103961i
\(527\) −22.9641 27.3675i −1.00033 1.19215i
\(528\) 4.42749 9.50881i 0.192682 0.413818i
\(529\) 9.18663 3.34366i 0.399419 0.145377i
\(530\) 39.6274 1.72130
\(531\) −5.60656 + 3.24541i −0.243304 + 0.140839i
\(532\) −6.99439 8.61610i −0.303245 0.373555i
\(533\) −1.97227 + 2.35046i −0.0854284 + 0.101810i
\(534\) −4.04262 15.0532i −0.174941 0.651416i
\(535\) −1.74652 2.08142i −0.0755087 0.0899877i
\(536\) −1.69680 + 4.66193i −0.0732908 + 0.201365i
\(537\) 33.5558 + 23.4677i 1.44804 + 1.01271i
\(538\) 0.468851 + 1.28816i 0.0202136 + 0.0555364i
\(539\) −8.65300 1.81747i −0.372711 0.0782840i
\(540\) 3.09856 + 4.40927i 0.133341 + 0.189745i
\(541\) 0.619421 1.07287i 0.0266310 0.0461262i −0.852403 0.522886i \(-0.824855\pi\)
0.879034 + 0.476760i \(0.158189\pi\)
\(542\) −6.67940 5.60469i −0.286905 0.240742i
\(543\) 30.7174 + 21.4827i 1.31821 + 0.921911i
\(544\) −11.9058 + 2.09931i −0.510455 + 0.0900070i
\(545\) −0.623617 3.53671i −0.0267128 0.151496i
\(546\) 6.95289 + 0.718336i 0.297556 + 0.0307420i
\(547\) 21.3784 + 17.9386i 0.914076 + 0.767000i 0.972890 0.231269i \(-0.0742876\pi\)
−0.0588145 + 0.998269i \(0.518732\pi\)
\(548\) −9.50816 + 5.48954i −0.406168 + 0.234501i
\(549\) −1.61615 9.10542i −0.0689757 0.388610i
\(550\) −1.40999 + 2.44218i −0.0601223 + 0.104135i
\(551\) −21.1205 17.7222i −0.899765 0.754992i
\(552\) 20.8500 + 9.70819i 0.887437 + 0.413208i
\(553\) 3.05275 1.05526i 0.129816 0.0448744i
\(554\) 10.6748 29.3287i 0.453527 1.24606i
\(555\) −23.8331 11.0971i −1.01166 0.471047i
\(556\) 1.42954 + 3.92764i 0.0606262 + 0.166569i
\(557\) 2.66791 + 1.54032i 0.113043 + 0.0652654i 0.555455 0.831546i \(-0.312544\pi\)
−0.442412 + 0.896812i \(0.645877\pi\)
\(558\) 27.3534 32.6735i 1.15796 1.38318i
\(559\) −0.531504 0.306864i −0.0224802 0.0129790i
\(560\) −12.3725 + 20.6476i −0.522835 + 0.872522i
\(561\) −8.48324 2.26794i −0.358163 0.0957524i
\(562\) 20.0853 + 7.31043i 0.847245 + 0.308372i
\(563\) −4.55950 1.65952i −0.192160 0.0699406i 0.244148 0.969738i \(-0.421492\pi\)
−0.436308 + 0.899798i \(0.643714\pi\)
\(564\) −8.06427 0.700937i −0.339567 0.0295148i
\(565\) 1.62337 + 0.286243i 0.0682956 + 0.0120423i
\(566\) −17.1676 −0.721610
\(567\) −3.80649 23.5055i −0.159858 0.987140i
\(568\) −0.414310 −0.0173841
\(569\) −9.00123 1.58716i −0.377351 0.0665372i −0.0182441 0.999834i \(-0.505808\pi\)
−0.359107 + 0.933296i \(0.616919\pi\)
\(570\) −40.1022 3.48563i −1.67969 0.145997i
\(571\) 39.9573 + 14.5433i 1.67216 + 0.608617i 0.992203 0.124632i \(-0.0397750\pi\)
0.679960 + 0.733250i \(0.261997\pi\)
\(572\) 0.620072 + 0.225688i 0.0259265 + 0.00943648i
\(573\) 36.6581 + 9.80028i 1.53141 + 0.409413i
\(574\) 0.220208 13.5513i 0.00919129 0.565620i
\(575\) −6.93646 4.00477i −0.289271 0.167010i
\(576\) 4.92209 + 13.4759i 0.205087 + 0.561495i
\(577\) 31.9551 + 18.4493i 1.33031 + 0.768053i 0.985347 0.170564i \(-0.0545589\pi\)
0.344961 + 0.938617i \(0.387892\pi\)
\(578\) −0.485713 1.33449i −0.0202030 0.0555073i
\(579\) −22.8722 10.6497i −0.950536 0.442588i
\(580\) 1.27433 3.50121i 0.0529139 0.145380i
\(581\) 10.8810 + 9.43576i 0.451422 + 0.391461i
\(582\) −15.2046 7.07955i −0.630251 0.293457i
\(583\) −12.6621 10.6248i −0.524412 0.440034i
\(584\) 13.3412 23.1076i 0.552063 0.956201i
\(585\) 4.16445 3.50242i 0.172179 0.144807i
\(586\) 12.4052 7.16213i 0.512453 0.295865i
\(587\) −21.4793 18.0233i −0.886545 0.743900i 0.0809690 0.996717i \(-0.474199\pi\)
−0.967514 + 0.252817i \(0.918643\pi\)
\(588\) −5.54671 + 3.62558i −0.228743 + 0.149517i
\(589\) 11.8620 + 67.2729i 0.488766 + 2.77193i
\(590\) 6.43970 1.13549i 0.265118 0.0467475i
\(591\) −3.38274 2.36577i −0.139147 0.0973147i
\(592\) 29.3769 + 24.6501i 1.20738 + 1.01311i
\(593\) 12.0746 20.9138i 0.495845 0.858828i −0.504144 0.863620i \(-0.668192\pi\)
0.999989 + 0.00479135i \(0.00152514\pi\)
\(594\) 0.895142 10.4354i 0.0367281 0.428169i
\(595\) 18.8217 + 7.19898i 0.771616 + 0.295129i
\(596\) 1.38311 + 3.80007i 0.0566545 + 0.155657i
\(597\) 14.5625 + 10.1845i 0.596004 + 0.416824i
\(598\) −2.98671 + 8.20591i −0.122136 + 0.335565i
\(599\) −23.4872 27.9909i −0.959660 1.14368i −0.989559 0.144126i \(-0.953963\pi\)
0.0298990 0.999553i \(-0.490481\pi\)
\(600\) −1.45773 5.42805i −0.0595116 0.221599i
\(601\) −7.41347 + 8.83503i −0.302402 + 0.360388i −0.895750 0.444557i \(-0.853361\pi\)
0.593349 + 0.804945i \(0.297805\pi\)
\(602\) 2.67702 0.427305i 0.109107 0.0174156i
\(603\) 0.00725744 + 6.41689i 0.000295546 + 0.261316i
\(604\) 3.37274 0.137235
\(605\) 16.7700 6.10378i 0.681797 0.248154i
\(606\) −8.09771 + 17.3913i −0.328947 + 0.706472i
\(607\) −15.4572 18.4212i −0.627389 0.747693i 0.354933 0.934892i \(-0.384504\pi\)
−0.982322 + 0.187199i \(0.940059\pi\)
\(608\) 21.7219 + 7.90614i 0.880941 + 0.320636i
\(609\) −11.8221 + 11.4570i −0.479056 + 0.464261i
\(610\) −1.62095 + 9.19287i −0.0656304 + 0.372208i
\(611\) 8.17329i 0.330656i
\(612\) −5.69566 + 3.29699i −0.230233 + 0.133273i
\(613\) −33.6863 −1.36058 −0.680289 0.732944i \(-0.738146\pi\)
−0.680289 + 0.732944i \(0.738146\pi\)
\(614\) 30.2142 10.9971i 1.21935 0.443806i
\(615\) −7.46472 7.45628i −0.301007 0.300666i
\(616\) 7.32586 2.53237i 0.295167 0.102032i
\(617\) 5.69508 + 6.78713i 0.229275 + 0.273240i 0.868401 0.495863i \(-0.165148\pi\)
−0.639126 + 0.769102i \(0.720704\pi\)
\(618\) −20.4110 + 29.1850i −0.821051 + 1.17399i
\(619\) −2.57718 + 3.07137i −0.103586 + 0.123449i −0.815347 0.578973i \(-0.803454\pi\)
0.711761 + 0.702422i \(0.247898\pi\)
\(620\) −7.99466 + 4.61572i −0.321073 + 0.185372i
\(621\) 29.6394 + 2.54245i 1.18939 + 0.102025i
\(622\) 4.53193i 0.181714i
\(623\) 7.66886 12.7980i 0.307247 0.512742i
\(624\) −7.19184 + 3.35856i −0.287904 + 0.134450i
\(625\) −2.78663 15.8037i −0.111465 0.632150i
\(626\) −11.4011 + 9.56665i −0.455679 + 0.382360i
\(627\) 11.8793 + 11.8659i 0.474413 + 0.473876i
\(628\) −3.55029 9.75435i −0.141672 0.389241i
\(629\) 16.0523 27.8035i 0.640049 1.10860i
\(630\) −4.53109 + 23.6047i −0.180523 + 0.940433i
\(631\) −6.55511 11.3538i −0.260955 0.451987i 0.705541 0.708669i \(-0.250704\pi\)
−0.966496 + 0.256682i \(0.917371\pi\)
\(632\) −1.82011 + 2.16912i −0.0724001 + 0.0862831i
\(633\) −1.73440 19.6960i −0.0689364 0.782848i
\(634\) 4.88636 + 27.7119i 0.194062 + 1.10058i
\(635\) −19.7487 + 16.5711i −0.783702 + 0.657604i
\(636\) −12.3402 + 1.08666i −0.489320 + 0.0430887i
\(637\) 4.13201 + 5.26255i 0.163716 + 0.208510i
\(638\) −6.27111 + 3.62063i −0.248276 + 0.143342i
\(639\) −0.503358 + 0.183852i −0.0199125 + 0.00727308i
\(640\) 25.9129i 1.02430i
\(641\) −7.86581 1.38695i −0.310681 0.0547814i 0.0161339 0.999870i \(-0.494864\pi\)
−0.326815 + 0.945088i \(0.605975\pi\)
\(642\) 2.80004 + 2.79687i 0.110509 + 0.110384i
\(643\) 38.0449 6.70834i 1.50034 0.264551i 0.637669 0.770310i \(-0.279899\pi\)
0.862675 + 0.505759i \(0.168787\pi\)
\(644\) −2.70467 7.82430i −0.106579 0.308321i
\(645\) 1.20948 1.72940i 0.0476234 0.0680952i
\(646\) 8.53593 48.4097i 0.335842 1.90465i
\(647\) −19.9091 34.4836i −0.782707 1.35569i −0.930359 0.366650i \(-0.880505\pi\)
0.147652 0.989039i \(-0.452829\pi\)
\(648\) 13.4541 + 15.9605i 0.528527 + 0.626989i
\(649\) −2.36212 1.36377i −0.0927214 0.0535327i
\(650\) 2.00528 0.729863i 0.0786536 0.0286276i
\(651\) 40.6845 2.91732i 1.59455 0.114339i
\(652\) −0.593720 + 0.498190i −0.0232519 + 0.0195106i
\(653\) −9.97502 + 27.4061i −0.390353 + 1.07249i 0.576488 + 0.817106i \(0.304423\pi\)
−0.966841 + 0.255380i \(0.917799\pi\)
\(654\) 1.35671 + 5.05188i 0.0530515 + 0.197544i
\(655\) −2.98900 + 16.9514i −0.116790 + 0.662347i
\(656\) 7.69512 + 13.3283i 0.300444 + 0.520384i
\(657\) 5.95449 33.9944i 0.232307 1.32625i
\(658\) −22.7538 28.0294i −0.887034 1.09270i
\(659\) 20.9180 + 3.68841i 0.814851 + 0.143680i 0.565516 0.824737i \(-0.308677\pi\)
0.249335 + 0.968417i \(0.419788\pi\)
\(660\) −0.957771 + 2.05698i −0.0372812 + 0.0800680i
\(661\) −21.8151 + 3.84658i −0.848507 + 0.149615i −0.580962 0.813931i \(-0.697324\pi\)
−0.267545 + 0.963545i \(0.586212\pi\)
\(662\) 43.0086 7.58357i 1.67158 0.294744i
\(663\) 3.81449 + 5.44111i 0.148143 + 0.211315i
\(664\) −12.4341 2.19247i −0.482538 0.0850845i
\(665\) −24.2846 29.9153i −0.941718 1.16006i
\(666\) 35.9982 + 13.0562i 1.39490 + 0.505917i
\(667\) −10.2836 17.8117i −0.398182 0.689671i
\(668\) 1.49687 8.48918i 0.0579157 0.328456i
\(669\) 13.4356 13.4508i 0.519450 0.520038i
\(670\) 2.21534 6.08660i 0.0855861 0.235146i
\(671\) 2.98271 2.50279i 0.115146 0.0966192i
\(672\) 6.02877 12.4165i 0.232565 0.478979i
\(673\) 15.9545 5.80696i 0.615000 0.223842i −0.0156895 0.999877i \(-0.504994\pi\)
0.630690 + 0.776035i \(0.282772\pi\)
\(674\) 20.8356 + 12.0294i 0.802556 + 0.463356i
\(675\) −4.17976 5.94782i −0.160879 0.228932i
\(676\) 3.30288 + 5.72076i 0.127034 + 0.220029i
\(677\) −7.28066 + 41.2907i −0.279818 + 1.58693i 0.443410 + 0.896319i \(0.353769\pi\)
−0.723228 + 0.690610i \(0.757342\pi\)
\(678\) −2.39198 0.207908i −0.0918635 0.00798467i
\(679\) −5.24512 15.1735i −0.201289 0.582307i
\(680\) −17.3975 + 3.06765i −0.667163 + 0.117639i
\(681\) 25.1762 6.76120i 0.964754 0.259090i
\(682\) 17.6686 + 3.11546i 0.676567 + 0.119297i
\(683\) 1.56964i 0.0600606i 0.999549 + 0.0300303i \(0.00956038\pi\)
−0.999549 + 0.0300303i \(0.990440\pi\)
\(684\) 12.5836 0.0142319i 0.481146 0.000544171i
\(685\) −33.0125 + 19.0598i −1.26134 + 0.728236i
\(686\) −28.8208 6.54418i −1.10038 0.249858i
\(687\) −22.3427 31.8704i −0.852428 1.21593i
\(688\) −2.35818 + 1.97874i −0.0899046 + 0.0754389i
\(689\) 2.17203 + 12.3182i 0.0827478 + 0.469286i
\(690\) −27.2217 12.6750i −1.03631 0.482527i
\(691\) −23.8441 + 28.4163i −0.907071 + 1.08101i 0.0893094 + 0.996004i \(0.471534\pi\)
−0.996381 + 0.0850017i \(0.972910\pi\)
\(692\) −2.98121 5.16360i −0.113328 0.196291i
\(693\) 7.77665 6.32754i 0.295410 0.240363i
\(694\) −19.3251 + 33.4720i −0.733569 + 1.27058i
\(695\) 4.96340 + 13.6368i 0.188273 + 0.517275i
\(696\) 3.72744 13.9425i 0.141288 0.528490i
\(697\) 9.86997 8.28188i 0.373852 0.313699i
\(698\) 1.55598 + 8.82439i 0.0588946 + 0.334008i
\(699\) −4.40078 + 50.6309i −0.166453 + 1.91504i
\(700\) −1.03985 + 1.73534i −0.0393028 + 0.0655896i
\(701\) 8.24161i 0.311281i −0.987814 0.155641i \(-0.950256\pi\)
0.987814 0.155641i \(-0.0497442\pi\)
\(702\) −5.59487 + 5.61389i −0.211165 + 0.211883i
\(703\) −53.1626 + 30.6934i −2.00506 + 1.15762i
\(704\) −3.88275 + 4.62729i −0.146337 + 0.174397i
\(705\) −27.9993 2.43367i −1.05451 0.0916572i
\(706\) −22.2452 26.5108i −0.837209 0.997747i
\(707\) −17.3557 + 5.99946i −0.652730 + 0.225633i
\(708\) −1.97422 + 0.530187i −0.0741956 + 0.0199256i
\(709\) −12.4403 + 4.52790i −0.467206 + 0.170049i −0.564886 0.825169i \(-0.691080\pi\)
0.0976805 + 0.995218i \(0.468858\pi\)
\(710\) 0.540922 0.0203004
\(711\) −1.24875 + 3.44301i −0.0468317 + 0.129123i
\(712\) 13.0795i 0.490175i
\(713\) −8.84875 + 50.1838i −0.331388 + 1.87940i
\(714\) −28.2290 8.04048i −1.05644 0.300908i
\(715\) 2.15290 + 0.783592i 0.0805139 + 0.0293047i
\(716\) 8.30549 + 9.89810i 0.310391 + 0.369909i
\(717\) −27.6271 39.4081i −1.03175 1.47172i
\(718\) 32.9003 11.9747i 1.22783 0.446893i
\(719\) 11.3474 0.423187 0.211594 0.977358i \(-0.432135\pi\)
0.211594 + 0.977358i \(0.432135\pi\)
\(720\) −9.36401 25.6372i −0.348976 0.955441i
\(721\) −33.6646 + 5.37353i −1.25373 + 0.200121i
\(722\) −40.9271 + 48.7751i −1.52315 + 1.81522i
\(723\) 0.0918647 0.0919686i 0.00341648 0.00342035i
\(724\) 7.60296 + 9.06086i 0.282562 + 0.336744i
\(725\) −1.71900 + 4.72290i −0.0638419 + 0.175404i
\(726\) −23.5524 + 10.9989i −0.874111 + 0.408207i
\(727\) −7.94102 21.8178i −0.294516 0.809176i −0.995392 0.0958928i \(-0.969429\pi\)
0.700876 0.713284i \(-0.252793\pi\)
\(728\) −5.47853 2.09544i −0.203048 0.0776622i
\(729\) 23.4284 + 13.4206i 0.867717 + 0.497059i
\(730\) −17.4182 + 30.1692i −0.644677 + 1.11661i
\(731\) 1.97421 + 1.65656i 0.0730187 + 0.0612699i
\(732\) 0.252687 2.90715i 0.00933956 0.107452i
\(733\) 16.0347 2.82735i 0.592255 0.104431i 0.130516 0.991446i \(-0.458337\pi\)
0.461739 + 0.887016i \(0.347226\pi\)
\(734\) 3.15849 + 17.9127i 0.116582 + 0.661170i
\(735\) −19.2583 + 12.5881i −0.710353 + 0.464319i
\(736\) 13.2096 + 11.0842i 0.486913 + 0.408568i
\(737\) −2.33979 + 1.35088i −0.0861873 + 0.0497603i
\(738\) 11.7835 + 9.86487i 0.433758 + 0.363131i
\(739\) 5.44795 9.43613i 0.200406 0.347114i −0.748253 0.663413i \(-0.769107\pi\)
0.948659 + 0.316300i \(0.102440\pi\)
\(740\) −6.35492 5.33241i −0.233612 0.196023i
\(741\) −1.11454 12.6568i −0.0409437 0.464960i
\(742\) −41.7416 36.1972i −1.53238 1.32884i
\(743\) −16.4197 + 45.1128i −0.602381 + 1.65503i 0.144054 + 0.989570i \(0.453986\pi\)
−0.746435 + 0.665458i \(0.768236\pi\)
\(744\) −29.2794 + 20.5264i −1.07344 + 0.752533i
\(745\) 4.80219 + 13.1939i 0.175939 + 0.483388i
\(746\) −51.7932 29.9028i −1.89628 1.09482i
\(747\) −16.0795 + 2.85401i −0.588319 + 0.104423i
\(748\) −2.39966 1.38544i −0.0877403 0.0506569i
\(749\) −0.0615517 + 3.78781i −0.00224905 + 0.138404i
\(750\) 8.70507 + 32.4144i 0.317864 + 1.18361i
\(751\) −19.7103 7.17395i −0.719237 0.261781i −0.0436354 0.999048i \(-0.513894\pi\)
−0.675602 + 0.737266i \(0.736116\pi\)
\(752\) 38.5238 + 14.0215i 1.40482 + 0.511313i
\(753\) 19.1436 27.3728i 0.697630 0.997519i
\(754\) 5.39645 + 0.951539i 0.196527 + 0.0346530i
\(755\) 11.7102 0.426179
\(756\) 0.763720 7.47486i 0.0277762 0.271858i
\(757\) −24.6333 −0.895314 −0.447657 0.894205i \(-0.647741\pi\)
−0.447657 + 0.894205i \(0.647741\pi\)
\(758\) −7.40724 1.30610i −0.269043 0.0474396i
\(759\) 5.29978 + 11.3486i 0.192370 + 0.411930i
\(760\) 31.7416 + 11.5530i 1.15139 + 0.419071i
\(761\) −8.78216 3.19644i −0.318353 0.115871i 0.177901 0.984048i \(-0.443069\pi\)
−0.496254 + 0.868177i \(0.665292\pi\)
\(762\) 26.5369 26.5669i 0.961330 0.962418i
\(763\) −2.57368 + 4.29504i −0.0931735 + 0.155491i
\(764\) 10.3695 + 5.98683i 0.375155 + 0.216596i
\(765\) −19.7754 + 11.4472i −0.714983 + 0.413874i
\(766\) −10.3669 5.98533i −0.374571 0.216259i
\(767\) 0.705937 + 1.93955i 0.0254899 + 0.0700330i
\(768\) 1.85766 + 21.0958i 0.0670327 + 0.761229i
\(769\) 3.02496 8.31100i 0.109083 0.299702i −0.873126 0.487494i \(-0.837911\pi\)
0.982209 + 0.187792i \(0.0601332\pi\)
\(770\) −9.56460 + 3.30625i −0.344684 + 0.119149i
\(771\) 4.42564 3.10260i 0.159385 0.111737i
\(772\) −6.09872 5.11743i −0.219498 0.184180i
\(773\) 7.06558 12.2379i 0.254131 0.