Properties

Label 384.2.v.a.229.25
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 229.25
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.13092 + 0.849133i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(0.557948 + 1.92060i) q^{4} +(-2.52496 - 3.07667i) q^{5} +(-1.39766 - 0.215757i) q^{6} +(-4.25703 + 2.84446i) q^{7} +(-0.999849 + 2.64581i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(1.13092 + 0.849133i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(0.557948 + 1.92060i) q^{4} +(-2.52496 - 3.07667i) q^{5} +(-1.39766 - 0.215757i) q^{6} +(-4.25703 + 2.84446i) q^{7} +(-0.999849 + 2.64581i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-0.243018 - 5.62349i) q^{10} +(2.06231 - 0.625595i) q^{11} +(-1.39743 - 1.43080i) q^{12} +(-4.57695 - 3.75620i) q^{13} +(-7.22967 - 0.397937i) q^{14} +(3.67715 + 1.52312i) q^{15} +(-3.37739 + 2.14319i) q^{16} +(-0.968064 + 0.400985i) q^{17} +(1.33433 - 0.468571i) q^{18} +(0.230842 + 2.34378i) q^{19} +(4.50025 - 6.56605i) q^{20} +(2.41350 - 4.51534i) q^{21} +(2.86352 + 1.04368i) q^{22} +(-0.902011 + 0.179421i) q^{23} +(-0.365438 - 2.80472i) q^{24} +(-2.11504 + 10.6330i) q^{25} +(-1.98663 - 8.13439i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(-7.83825 - 6.58898i) q^{28} +(-1.08348 + 3.57175i) q^{29} +(2.86522 + 4.84491i) q^{30} +(-1.11133 - 1.11133i) q^{31} +(-5.63940 - 0.444083i) q^{32} +(-1.52389 + 1.52389i) q^{33} +(-1.43529 - 0.368534i) q^{34} +(19.5003 + 5.91534i) q^{35} +(1.90690 + 0.603110i) q^{36} +(2.94183 + 0.289745i) q^{37} +(-1.72912 + 2.84664i) q^{38} +(5.80717 + 1.15512i) q^{39} +(10.6649 - 3.60435i) q^{40} +(1.55436 + 7.81427i) q^{41} +(6.56358 - 3.05709i) q^{42} +(-4.62540 - 2.47233i) q^{43} +(2.35218 + 3.61182i) q^{44} +(-3.96095 + 0.390120i) q^{45} +(-1.17245 - 0.563016i) q^{46} +(0.425470 + 1.02718i) q^{47} +(1.96830 - 3.48221i) q^{48} +(7.35258 - 17.7507i) q^{49} +(-11.4208 + 10.2291i) q^{50} +(0.664733 - 0.809980i) q^{51} +(4.66046 - 10.8862i) q^{52} +(-0.296345 - 0.976920i) q^{53} +(-0.955893 + 1.04224i) q^{54} +(-7.13200 - 4.76545i) q^{55} +(-3.26950 - 14.1073i) q^{56} +(-1.30844 - 1.95821i) q^{57} +(-4.25822 + 3.11934i) q^{58} +(3.47475 - 2.85165i) q^{59} +(-0.873652 + 7.91214i) q^{60} +(3.89370 + 7.28460i) q^{61} +(-0.313156 - 2.20049i) q^{62} +5.11988i q^{63} +(-6.00061 - 5.29082i) q^{64} +23.5660i q^{65} +(-3.01738 + 0.429410i) q^{66} +(-1.86316 - 3.48572i) q^{67} +(-1.31026 - 1.63553i) q^{68} +(0.710924 - 0.583440i) q^{69} +(17.0303 + 23.2481i) q^{70} +(2.40217 + 3.59509i) q^{71} +(1.64442 + 2.30128i) q^{72} +(-10.9456 - 7.31361i) q^{73} +(3.08093 + 2.82568i) q^{74} +(-3.14707 - 10.3745i) q^{75} +(-4.37266 + 1.75106i) q^{76} +(-6.99984 + 8.52933i) q^{77} +(5.58658 + 6.23740i) q^{78} +(-5.55241 + 13.4047i) q^{79} +(15.1216 + 4.97966i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-4.87750 + 10.1571i) q^{82} +(3.28847 - 0.323886i) q^{83} +(10.0187 + 2.11603i) q^{84} +(3.67802 + 1.96594i) q^{85} +(-3.13161 - 6.72357i) q^{86} +(-0.728169 - 3.66075i) q^{87} +(-0.406794 + 6.08198i) q^{88} +(-13.9931 - 2.78340i) q^{89} +(-4.81077 - 2.92218i) q^{90} +(30.1686 + 2.97134i) q^{91} +(-0.847871 - 1.63229i) q^{92} +(1.50398 + 0.456228i) q^{93} +(-0.391037 + 1.52293i) q^{94} +(6.62818 - 6.62818i) q^{95} +(5.18284 - 2.26675i) q^{96} +(-6.06453 - 6.06453i) q^{97} +(23.3879 - 13.8313i) q^{98} +(0.625595 - 2.06231i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.13092 + 0.849133i 0.799679 + 0.600427i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) 0.557948 + 1.92060i 0.278974 + 0.960299i
\(5\) −2.52496 3.07667i −1.12920 1.37593i −0.917089 0.398683i \(-0.869467\pi\)
−0.212107 0.977246i \(-0.568033\pi\)
\(6\) −1.39766 0.215757i −0.570592 0.0880825i
\(7\) −4.25703 + 2.84446i −1.60901 + 1.07510i −0.664158 + 0.747592i \(0.731210\pi\)
−0.944847 + 0.327511i \(0.893790\pi\)
\(8\) −0.999849 + 2.64581i −0.353500 + 0.935435i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −0.243018 5.62349i −0.0768491 1.77830i
\(11\) 2.06231 0.625595i 0.621810 0.188624i 0.0363682 0.999338i \(-0.488421\pi\)
0.585442 + 0.810714i \(0.300921\pi\)
\(12\) −1.39743 1.43080i −0.403403 0.413037i
\(13\) −4.57695 3.75620i −1.26942 1.04178i −0.996823 0.0796547i \(-0.974618\pi\)
−0.272595 0.962129i \(-0.587882\pi\)
\(14\) −7.22967 0.397937i −1.93221 0.106353i
\(15\) 3.67715 + 1.52312i 0.949436 + 0.393269i
\(16\) −3.37739 + 2.14319i −0.844347 + 0.535797i
\(17\) −0.968064 + 0.400985i −0.234790 + 0.0972532i −0.496976 0.867764i \(-0.665556\pi\)
0.262186 + 0.965017i \(0.415556\pi\)
\(18\) 1.33433 0.468571i 0.314505 0.110443i
\(19\) 0.230842 + 2.34378i 0.0529588 + 0.537700i 0.984661 + 0.174477i \(0.0558236\pi\)
−0.931702 + 0.363223i \(0.881676\pi\)
\(20\) 4.50025 6.56605i 1.00629 1.46821i
\(21\) 2.41350 4.51534i 0.526668 0.985327i
\(22\) 2.86352 + 1.04368i 0.610504 + 0.222513i
\(23\) −0.902011 + 0.179421i −0.188082 + 0.0374119i −0.288233 0.957560i \(-0.593068\pi\)
0.100150 + 0.994972i \(0.468068\pi\)
\(24\) −0.365438 2.80472i −0.0745947 0.572511i
\(25\) −2.11504 + 10.6330i −0.423008 + 2.12660i
\(26\) −1.98663 8.13439i −0.389611 1.59529i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) −7.83825 6.58898i −1.48129 1.24520i
\(29\) −1.08348 + 3.57175i −0.201197 + 0.663258i 0.797041 + 0.603925i \(0.206397\pi\)
−0.998238 + 0.0593330i \(0.981103\pi\)
\(30\) 2.86522 + 4.84491i 0.523114 + 0.884556i
\(31\) −1.11133 1.11133i −0.199601 0.199601i 0.600228 0.799829i \(-0.295076\pi\)
−0.799829 + 0.600228i \(0.795076\pi\)
\(32\) −5.63940 0.444083i −0.996914 0.0785036i
\(33\) −1.52389 + 1.52389i −0.265276 + 0.265276i
\(34\) −1.43529 0.368534i −0.246150 0.0632030i
\(35\) 19.5003 + 5.91534i 3.29615 + 0.999876i
\(36\) 1.90690 + 0.603110i 0.317816 + 0.100518i
\(37\) 2.94183 + 0.289745i 0.483633 + 0.0476337i 0.336896 0.941542i \(-0.390623\pi\)
0.146737 + 0.989176i \(0.453123\pi\)
\(38\) −1.72912 + 2.84664i −0.280500 + 0.461786i
\(39\) 5.80717 + 1.15512i 0.929892 + 0.184967i
\(40\) 10.6649 3.60435i 1.68626 0.569898i
\(41\) 1.55436 + 7.81427i 0.242749 + 1.22038i 0.889232 + 0.457456i \(0.151239\pi\)
−0.646483 + 0.762928i \(0.723761\pi\)
\(42\) 6.56358 3.05709i 1.01278 0.471720i
\(43\) −4.62540 2.47233i −0.705366 0.377026i 0.0793790 0.996845i \(-0.474706\pi\)
−0.784745 + 0.619818i \(0.787206\pi\)
\(44\) 2.35218 + 3.61182i 0.354604 + 0.544502i
\(45\) −3.96095 + 0.390120i −0.590464 + 0.0581556i
\(46\) −1.17245 0.563016i −0.172869 0.0830122i
\(47\) 0.425470 + 1.02718i 0.0620612 + 0.149829i 0.951868 0.306509i \(-0.0991609\pi\)
−0.889807 + 0.456338i \(0.849161\pi\)
\(48\) 1.96830 3.48221i 0.284100 0.502614i
\(49\) 7.35258 17.7507i 1.05037 2.53581i
\(50\) −11.4208 + 10.2291i −1.61514 + 1.44661i
\(51\) 0.664733 0.809980i 0.0930813 0.113420i
\(52\) 4.66046 10.8862i 0.646289 1.50965i
\(53\) −0.296345 0.976920i −0.0407062 0.134190i 0.934232 0.356665i \(-0.116086\pi\)
−0.974938 + 0.222475i \(0.928586\pi\)
\(54\) −0.955893 + 1.04224i −0.130081 + 0.141831i
\(55\) −7.13200 4.76545i −0.961679 0.642573i
\(56\) −3.26950 14.1073i −0.436905 1.88517i
\(57\) −1.30844 1.95821i −0.173306 0.259371i
\(58\) −4.25822 + 3.11934i −0.559131 + 0.409589i
\(59\) 3.47475 2.85165i 0.452374 0.371253i −0.380441 0.924805i \(-0.624228\pi\)
0.832815 + 0.553552i \(0.186728\pi\)
\(60\) −0.873652 + 7.91214i −0.112788 + 1.02145i
\(61\) 3.89370 + 7.28460i 0.498538 + 0.932698i 0.997803 + 0.0662491i \(0.0211032\pi\)
−0.499266 + 0.866449i \(0.666397\pi\)
\(62\) −0.313156 2.20049i −0.0397708 0.279462i
\(63\) 5.11988i 0.645045i
\(64\) −6.00061 5.29082i −0.750076 0.661352i
\(65\) 23.5660i 2.92301i
\(66\) −3.01738 + 0.429410i −0.371414 + 0.0528567i
\(67\) −1.86316 3.48572i −0.227621 0.425849i 0.742022 0.670376i \(-0.233867\pi\)
−0.969642 + 0.244527i \(0.921367\pi\)
\(68\) −1.31026 1.63553i −0.158892 0.198337i
\(69\) 0.710924 0.583440i 0.0855852 0.0702379i
\(70\) 17.0303 + 23.2481i 2.03551 + 2.77868i
\(71\) 2.40217 + 3.59509i 0.285085 + 0.426659i 0.946179 0.323643i \(-0.104908\pi\)
−0.661095 + 0.750303i \(0.729908\pi\)
\(72\) 1.64442 + 2.30128i 0.193797 + 0.271208i
\(73\) −10.9456 7.31361i −1.28108 0.855993i −0.286314 0.958136i \(-0.592430\pi\)
−0.994770 + 0.102143i \(0.967430\pi\)
\(74\) 3.08093 + 2.82568i 0.358151 + 0.328478i
\(75\) −3.14707 10.3745i −0.363392 1.19794i
\(76\) −4.37266 + 1.75106i −0.501579 + 0.200861i
\(77\) −6.99984 + 8.52933i −0.797705 + 0.972007i
\(78\) 5.58658 + 6.23740i 0.632556 + 0.706247i
\(79\) −5.55241 + 13.4047i −0.624695 + 1.50815i 0.221437 + 0.975175i \(0.428925\pi\)
−0.846132 + 0.532973i \(0.821075\pi\)
\(80\) 15.1216 + 4.97966i 1.69065 + 0.556742i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −4.87750 + 10.1571i −0.538630 + 1.12167i
\(83\) 3.28847 0.323886i 0.360957 0.0355512i 0.0840866 0.996458i \(-0.473203\pi\)
0.276870 + 0.960907i \(0.410703\pi\)
\(84\) 10.0187 + 2.11603i 1.09313 + 0.230878i
\(85\) 3.67802 + 1.96594i 0.398938 + 0.213237i
\(86\) −3.13161 6.72357i −0.337690 0.725021i
\(87\) −0.728169 3.66075i −0.0780679 0.392474i
\(88\) −0.406794 + 6.08198i −0.0433644 + 0.648341i
\(89\) −13.9931 2.78340i −1.48327 0.295040i −0.613969 0.789330i \(-0.710428\pi\)
−0.869297 + 0.494290i \(0.835428\pi\)
\(90\) −4.81077 2.92218i −0.507100 0.308025i
\(91\) 30.1686 + 2.97134i 3.16252 + 0.311481i
\(92\) −0.847871 1.63229i −0.0883966 0.170178i
\(93\) 1.50398 + 0.456228i 0.155956 + 0.0473087i
\(94\) −0.391037 + 1.52293i −0.0403324 + 0.157078i
\(95\) 6.62818 6.62818i 0.680036 0.680036i
\(96\) 5.18284 2.26675i 0.528972 0.231349i
\(97\) −6.06453 6.06453i −0.615759 0.615759i 0.328681 0.944441i \(-0.393396\pi\)
−0.944441 + 0.328681i \(0.893396\pi\)
\(98\) 23.3879 13.8313i 2.36253 1.39717i
\(99\) 0.625595 2.06231i 0.0628747 0.207270i
\(100\) −21.6018 + 1.87053i −2.16018 + 0.187053i
\(101\) 1.46696 14.8943i 0.145968 1.48203i −0.591310 0.806444i \(-0.701389\pi\)
0.737278 0.675590i \(-0.236111\pi\)
\(102\) 1.43954 0.351574i 0.142536 0.0348110i
\(103\) −0.829062 + 4.16798i −0.0816899 + 0.410683i 0.918204 + 0.396108i \(0.129639\pi\)
−0.999894 + 0.0145749i \(0.995361\pi\)
\(104\) 14.5145 8.35409i 1.42326 0.819186i
\(105\) −19.9862 + 3.97550i −1.95045 + 0.387969i
\(106\) 0.494392 1.35645i 0.0480196 0.131750i
\(107\) −6.36237 + 11.9032i −0.615073 + 1.15072i 0.360854 + 0.932623i \(0.382485\pi\)
−0.975927 + 0.218099i \(0.930015\pi\)
\(108\) −1.96604 + 0.367010i −0.189182 + 0.0353155i
\(109\) −0.159270 1.61709i −0.0152553 0.154889i 0.984539 0.175165i \(-0.0560457\pi\)
−0.999794 + 0.0202753i \(0.993546\pi\)
\(110\) −4.01920 11.4453i −0.383216 1.09127i
\(111\) −2.73104 + 1.13124i −0.259219 + 0.107372i
\(112\) 8.28144 18.7304i 0.782522 1.76986i
\(113\) 4.87692 + 2.02008i 0.458782 + 0.190034i 0.600091 0.799932i \(-0.295131\pi\)
−0.141309 + 0.989966i \(0.545131\pi\)
\(114\) 0.183049 3.32561i 0.0171441 0.311472i
\(115\) 2.82956 + 2.32216i 0.263858 + 0.216542i
\(116\) −7.46443 0.0880755i −0.693055 0.00817761i
\(117\) −5.66599 + 1.71876i −0.523821 + 0.158899i
\(118\) 6.35108 0.274461i 0.584664 0.0252662i
\(119\) 2.98049 4.46062i 0.273221 0.408905i
\(120\) −7.70649 + 8.20614i −0.703503 + 0.749114i
\(121\) −5.28441 + 3.53093i −0.480401 + 0.320994i
\(122\) −1.78214 + 11.5446i −0.161347 + 1.04519i
\(123\) −5.05444 6.15885i −0.455744 0.555325i
\(124\) 1.51435 2.75448i 0.135993 0.247360i
\(125\) 20.5039 10.9596i 1.83393 0.980254i
\(126\) −4.34746 + 5.79017i −0.387303 + 0.515829i
\(127\) −6.60027 −0.585679 −0.292839 0.956162i \(-0.594600\pi\)
−0.292839 + 0.956162i \(0.594600\pi\)
\(128\) −2.29358 11.0788i −0.202726 0.979235i
\(129\) 5.24468 0.461769
\(130\) −20.0107 + 26.6512i −1.75505 + 2.33747i
\(131\) 10.6187 5.67580i 0.927758 0.495897i 0.0629597 0.998016i \(-0.479946\pi\)
0.864799 + 0.502119i \(0.167446\pi\)
\(132\) −3.77704 2.07653i −0.328749 0.180739i
\(133\) −7.64948 9.32092i −0.663294 0.808226i
\(134\) 0.852763 5.52413i 0.0736675 0.477212i
\(135\) 3.30935 2.21123i 0.284823 0.190313i
\(136\) −0.0930127 2.96224i −0.00797577 0.254010i
\(137\) 10.2412 15.3271i 0.874966 1.30948i −0.0750191 0.997182i \(-0.523902\pi\)
0.949985 0.312296i \(-0.101098\pi\)
\(138\) 1.29941 0.0561540i 0.110613 0.00478014i
\(139\) −9.84179 + 2.98548i −0.834770 + 0.253225i −0.678602 0.734506i \(-0.737414\pi\)
−0.156168 + 0.987731i \(0.549914\pi\)
\(140\) −0.480855 + 40.7526i −0.0406397 + 3.44423i
\(141\) −0.859439 0.705323i −0.0723778 0.0593989i
\(142\) −0.336061 + 6.10551i −0.0282016 + 0.512363i
\(143\) −11.7890 4.88314i −0.985842 0.408349i
\(144\) −0.0943818 + 3.99889i −0.00786515 + 0.333241i
\(145\) 13.7249 5.68502i 1.13979 0.472115i
\(146\) −6.16833 17.5653i −0.510495 1.45372i
\(147\) 1.88322 + 19.1207i 0.155326 + 1.57705i
\(148\) 1.08490 + 5.81173i 0.0891785 + 0.477721i
\(149\) 4.81610 9.01029i 0.394550 0.738151i −0.603705 0.797208i \(-0.706309\pi\)
0.998255 + 0.0590568i \(0.0188093\pi\)
\(150\) 5.25025 14.4050i 0.428681 1.17616i
\(151\) 5.89736 1.17306i 0.479920 0.0954620i 0.0507988 0.998709i \(-0.483823\pi\)
0.429121 + 0.903247i \(0.358823\pi\)
\(152\) −6.43200 1.73266i −0.521704 0.140537i
\(153\) −0.204421 + 1.02769i −0.0165264 + 0.0830839i
\(154\) −15.1588 + 3.70217i −1.22153 + 0.298330i
\(155\) −0.613135 + 6.22526i −0.0492482 + 0.500025i
\(156\) 1.02158 + 11.7977i 0.0817920 + 0.944575i
\(157\) −2.02702 + 6.68220i −0.161774 + 0.533298i −0.999926 0.0121386i \(-0.996136\pi\)
0.838152 + 0.545436i \(0.183636\pi\)
\(158\) −17.6617 + 10.4449i −1.40509 + 0.830950i
\(159\) 0.721870 + 0.721870i 0.0572480 + 0.0572480i
\(160\) 12.8729 + 18.4719i 1.01770 + 1.46033i
\(161\) 3.32953 3.32953i 0.262404 0.262404i
\(162\) 0.351713 1.36978i 0.0276332 0.107620i
\(163\) −11.9472 3.62415i −0.935777 0.283865i −0.214669 0.976687i \(-0.568867\pi\)
−0.721109 + 0.692822i \(0.756367\pi\)
\(164\) −14.1408 + 7.34525i −1.10421 + 0.573567i
\(165\) 8.53628 + 0.840750i 0.664548 + 0.0654523i
\(166\) 3.99402 + 2.42606i 0.309996 + 0.188299i
\(167\) −1.04621 0.208104i −0.0809583 0.0161036i 0.154445 0.988001i \(-0.450641\pi\)
−0.235403 + 0.971898i \(0.575641\pi\)
\(168\) 9.53358 + 10.9003i 0.735532 + 0.840977i
\(169\) 4.30321 + 21.6337i 0.331016 + 1.66413i
\(170\) 2.49019 + 5.34645i 0.190989 + 0.410054i
\(171\) 2.07703 + 1.11020i 0.158835 + 0.0848988i
\(172\) 2.16761 10.2630i 0.165279 0.782543i
\(173\) −6.13074 + 0.603825i −0.466111 + 0.0459080i −0.328347 0.944557i \(-0.606492\pi\)
−0.137764 + 0.990465i \(0.543992\pi\)
\(174\) 2.28497 4.75832i 0.173223 0.360728i
\(175\) −21.2414 51.2812i −1.60570 3.87649i
\(176\) −5.62446 + 6.53279i −0.423959 + 0.492428i
\(177\) −1.72019 + 4.15292i −0.129298 + 0.312152i
\(178\) −13.4616 15.0298i −1.00899 1.12653i
\(179\) −7.22493 + 8.80360i −0.540016 + 0.658012i −0.969508 0.245059i \(-0.921193\pi\)
0.429492 + 0.903071i \(0.358693\pi\)
\(180\) −2.95927 7.38973i −0.220571 0.550798i
\(181\) −2.61326 8.61475i −0.194242 0.640329i −0.998913 0.0466090i \(-0.985159\pi\)
0.804671 0.593720i \(-0.202341\pi\)
\(182\) 31.5951 + 28.9774i 2.34198 + 2.14795i
\(183\) −6.86788 4.58897i −0.507688 0.339226i
\(184\) 0.427160 2.56594i 0.0314907 0.189164i
\(185\) −6.53654 9.78263i −0.480576 0.719233i
\(186\) 1.31348 + 1.79304i 0.0963092 + 0.131472i
\(187\) −1.74559 + 1.43257i −0.127651 + 0.104760i
\(188\) −1.73540 + 1.39027i −0.126567 + 0.101396i
\(189\) −2.41350 4.51534i −0.175556 0.328442i
\(190\) 13.1241 1.86772i 0.952124 0.135499i
\(191\) 16.7304i 1.21057i −0.796009 0.605285i \(-0.793059\pi\)
0.796009 0.605285i \(-0.206941\pi\)
\(192\) 7.78613 + 1.83742i 0.561916 + 0.132604i
\(193\) 2.18922i 0.157583i 0.996891 + 0.0787916i \(0.0251062\pi\)
−0.996891 + 0.0787916i \(0.974894\pi\)
\(194\) −1.70889 12.0081i −0.122691 0.862129i
\(195\) −11.1089 20.7834i −0.795528 1.48833i
\(196\) 38.1943 + 4.21738i 2.72816 + 0.301241i
\(197\) 1.17316 0.962785i 0.0835839 0.0685956i −0.591674 0.806178i \(-0.701533\pi\)
0.675257 + 0.737582i \(0.264033\pi\)
\(198\) 2.45867 1.80109i 0.174730 0.127998i
\(199\) 14.3935 + 21.5414i 1.02033 + 1.52703i 0.839383 + 0.543540i \(0.182916\pi\)
0.180947 + 0.983493i \(0.442084\pi\)
\(200\) −26.0182 16.2274i −1.83976 1.14745i
\(201\) 3.28632 + 2.19585i 0.231799 + 0.154883i
\(202\) 14.3062 15.5985i 1.00658 1.09751i
\(203\) −5.54729 18.2870i −0.389343 1.28349i
\(204\) 1.92653 + 0.824758i 0.134884 + 0.0577446i
\(205\) 20.1173 24.5130i 1.40505 1.71206i
\(206\) −4.47677 + 4.00965i −0.311911 + 0.279366i
\(207\) −0.351947 + 0.849675i −0.0244620 + 0.0590565i
\(208\) 23.5084 + 2.87691i 1.63001 + 0.199478i
\(209\) 1.94233 + 4.68919i 0.134353 + 0.324358i
\(210\) −25.9784 12.4750i −1.79268 0.860854i
\(211\) −12.8114 + 1.26182i −0.881976 + 0.0868671i −0.528857 0.848711i \(-0.677379\pi\)
−0.353120 + 0.935578i \(0.614879\pi\)
\(212\) 1.71092 1.11423i 0.117507 0.0765257i
\(213\) −3.81324 2.03822i −0.261279 0.139656i
\(214\) −17.3027 + 8.05899i −1.18279 + 0.550901i
\(215\) 4.07240 + 20.4733i 0.277736 + 1.39627i
\(216\) −2.53507 1.25437i −0.172489 0.0853490i
\(217\) 7.89209 + 1.56983i 0.535750 + 0.106567i
\(218\) 1.19300 1.96404i 0.0808004 0.133021i
\(219\) 13.1008 + 1.29031i 0.885267 + 0.0871912i
\(220\) 5.17323 16.3566i 0.348779 1.10276i
\(221\) 5.93696 + 1.80096i 0.399363 + 0.121146i
\(222\) −4.04915 1.03968i −0.271761 0.0697790i
\(223\) −7.98917 + 7.98917i −0.534995 + 0.534995i −0.922055 0.387060i \(-0.873491\pi\)
0.387060 + 0.922055i \(0.373491\pi\)
\(224\) 25.2702 14.1505i 1.68844 0.945472i
\(225\) 7.66597 + 7.66597i 0.511065 + 0.511065i
\(226\) 3.80007 + 6.42570i 0.252777 + 0.427431i
\(227\) −7.33113 + 24.1675i −0.486584 + 1.60405i 0.278711 + 0.960375i \(0.410093\pi\)
−0.765296 + 0.643679i \(0.777407\pi\)
\(228\) 3.03090 3.60556i 0.200726 0.238784i
\(229\) −1.60555 + 16.3014i −0.106098 + 1.07723i 0.783784 + 0.621034i \(0.213287\pi\)
−0.889881 + 0.456193i \(0.849213\pi\)
\(230\) 1.22818 + 5.02884i 0.0809836 + 0.331592i
\(231\) 2.15261 10.8219i 0.141631 0.712028i
\(232\) −8.36686 6.43789i −0.549311 0.422668i
\(233\) 21.6967 4.31574i 1.42140 0.282734i 0.576253 0.817271i \(-0.304514\pi\)
0.845145 + 0.534538i \(0.179514\pi\)
\(234\) −7.86722 2.86740i −0.514296 0.187448i
\(235\) 2.08599 3.90261i 0.136075 0.254578i
\(236\) 7.41560 + 5.08252i 0.482715 + 0.330844i
\(237\) −1.42215 14.4393i −0.0923783 0.937932i
\(238\) 7.15835 2.51376i 0.464007 0.162943i
\(239\) −15.0322 + 6.22653i −0.972351 + 0.402761i −0.811587 0.584232i \(-0.801396\pi\)
−0.160764 + 0.986993i \(0.551396\pi\)
\(240\) −15.6835 + 2.73663i −1.01237 + 0.176649i
\(241\) −9.09317 3.76651i −0.585743 0.242623i 0.0700752 0.997542i \(-0.477676\pi\)
−0.655818 + 0.754919i \(0.727676\pi\)
\(242\) −8.97446 0.493975i −0.576900 0.0317539i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) −11.8183 + 11.5427i −0.756590 + 0.738943i
\(245\) −73.1780 + 22.1983i −4.67517 + 1.41820i
\(246\) −0.486471 11.2570i −0.0310163 0.717723i
\(247\) 7.74717 11.5945i 0.492940 0.737737i
\(248\) 4.05153 1.82920i 0.257272 0.116155i
\(249\) −2.74750 + 1.83582i −0.174116 + 0.116340i
\(250\) 32.4944 + 5.01617i 2.05512 + 0.317251i
\(251\) −4.74629 5.78337i −0.299583 0.365043i 0.601362 0.798977i \(-0.294625\pi\)
−0.900945 + 0.433934i \(0.857125\pi\)
\(252\) −9.83324 + 2.85663i −0.619436 + 0.179951i
\(253\) −1.74798 + 0.934315i −0.109895 + 0.0587399i
\(254\) −7.46436 5.60450i −0.468355 0.351658i
\(255\) −4.17047 −0.261165
\(256\) 6.81350 14.4767i 0.425844 0.904797i
\(257\) 7.03693 0.438951 0.219476 0.975618i \(-0.429565\pi\)
0.219476 + 0.975618i \(0.429565\pi\)
\(258\) 5.93130 + 4.45343i 0.369267 + 0.277258i
\(259\) −13.3476 + 7.13444i −0.829380 + 0.443313i
\(260\) −45.2609 + 13.1486i −2.80696 + 0.815443i
\(261\) 2.36786 + 2.88524i 0.146567 + 0.178592i
\(262\) 16.8284 + 2.59780i 1.03966 + 0.160493i
\(263\) 18.5330 12.3834i 1.14279 0.763591i 0.167800 0.985821i \(-0.446334\pi\)
0.974994 + 0.222230i \(0.0713336\pi\)
\(264\) −2.50826 5.55559i −0.154373 0.341923i
\(265\) −2.25740 + 3.37844i −0.138671 + 0.207536i
\(266\) −0.736235 17.0366i −0.0451414 1.04458i
\(267\) 13.6529 4.14156i 0.835544 0.253460i
\(268\) 5.65512 5.52323i 0.345442 0.337385i
\(269\) −4.58557 3.76328i −0.279587 0.229451i 0.484140 0.874991i \(-0.339133\pi\)
−0.763727 + 0.645539i \(0.776633\pi\)
\(270\) 5.62023 + 0.309350i 0.342036 + 0.0188264i
\(271\) 8.69906 + 3.60327i 0.528430 + 0.218883i 0.630915 0.775852i \(-0.282679\pi\)
−0.102485 + 0.994735i \(0.532679\pi\)
\(272\) 2.41014 3.42903i 0.146136 0.207915i
\(273\) −28.0070 + 11.6009i −1.69506 + 0.702116i
\(274\) 24.5967 8.63749i 1.48594 0.521810i
\(275\) 2.29010 + 23.2517i 0.138098 + 1.40213i
\(276\) 1.51721 + 1.03987i 0.0913254 + 0.0625928i
\(277\) 0.895703 1.67574i 0.0538176 0.100686i −0.853574 0.520971i \(-0.825570\pi\)
0.907392 + 0.420285i \(0.138070\pi\)
\(278\) −13.6653 4.98066i −0.819591 0.298720i
\(279\) −1.54146 + 0.306615i −0.0922847 + 0.0183566i
\(280\) −35.1482 + 45.6796i −2.10051 + 2.72988i
\(281\) −5.48032 + 27.5514i −0.326928 + 1.64358i 0.371888 + 0.928278i \(0.378711\pi\)
−0.698816 + 0.715302i \(0.746289\pi\)
\(282\) −0.373041 1.52744i −0.0222143 0.0909577i
\(283\) −0.511307 + 5.19138i −0.0303940 + 0.308596i 0.967953 + 0.251130i \(0.0808021\pi\)
−0.998347 + 0.0574660i \(0.981698\pi\)
\(284\) −5.56445 + 6.61947i −0.330189 + 0.392793i
\(285\) −2.72103 + 8.97003i −0.161180 + 0.531339i
\(286\) −9.18589 15.5328i −0.543173 0.918475i
\(287\) −28.8443 28.8443i −1.70262 1.70262i
\(288\) −3.50232 + 4.44227i −0.206376 + 0.261763i
\(289\) −11.2445 + 11.2445i −0.661439 + 0.661439i
\(290\) 20.3490 + 5.22493i 1.19494 + 0.306819i
\(291\) 8.20723 + 2.48964i 0.481116 + 0.145945i
\(292\) 7.93943 25.1027i 0.464620 1.46902i
\(293\) 1.17677 + 0.115901i 0.0687474 + 0.00677103i 0.132332 0.991205i \(-0.457753\pi\)
−0.0635850 + 0.997976i \(0.520253\pi\)
\(294\) −14.1062 + 23.2230i −0.822693 + 1.35440i
\(295\) −17.5472 3.49035i −1.02164 0.203216i
\(296\) −3.70799 + 7.49381i −0.215523 + 0.435569i
\(297\) 0.420441 + 2.11370i 0.0243965 + 0.122649i
\(298\) 13.0975 6.10038i 0.758720 0.353386i
\(299\) 4.80240 + 2.56694i 0.277730 + 0.148450i
\(300\) 18.1693 11.8327i 1.04901 0.683161i
\(301\) 26.7229 2.63197i 1.54028 0.151704i
\(302\) 7.66550 + 3.68101i 0.441100 + 0.211818i
\(303\) 5.72736 + 13.8271i 0.329028 + 0.794345i
\(304\) −5.80280 7.42112i −0.332814 0.425630i
\(305\) 12.5809 30.3730i 0.720380 1.73915i
\(306\) −1.10383 + 0.988654i −0.0631017 + 0.0565176i
\(307\) 13.1672 16.0443i 0.751492 0.915696i −0.247087 0.968993i \(-0.579473\pi\)
0.998579 + 0.0532977i \(0.0169732\pi\)
\(308\) −20.2869 8.68495i −1.15596 0.494871i
\(309\) −1.23360 4.06665i −0.0701773 0.231343i
\(310\) −5.97948 + 6.51962i −0.339611 + 0.370290i
\(311\) 10.9951 + 7.34667i 0.623473 + 0.416591i 0.826781 0.562523i \(-0.190169\pi\)
−0.203308 + 0.979115i \(0.565169\pi\)
\(312\) −8.86251 + 14.2097i −0.501741 + 0.804467i
\(313\) 14.4122 + 21.5694i 0.814627 + 1.21918i 0.972773 + 0.231760i \(0.0744484\pi\)
−0.158146 + 0.987416i \(0.550552\pi\)
\(314\) −7.96647 + 5.83581i −0.449574 + 0.329334i
\(315\) 15.7522 12.9275i 0.887536 0.728382i
\(316\) −28.8430 3.18482i −1.62255 0.179160i
\(317\) −3.88856 7.27498i −0.218403 0.408604i 0.748730 0.662876i \(-0.230664\pi\)
−0.967133 + 0.254272i \(0.918164\pi\)
\(318\) 0.203412 + 1.42934i 0.0114068 + 0.0801533i
\(319\) 8.04388i 0.450371i
\(320\) −1.12682 + 31.8210i −0.0629912 + 1.77885i
\(321\) 13.4968i 0.753320i
\(322\) 6.59263 0.938211i 0.367393 0.0522844i
\(323\) −1.16329 2.17637i −0.0647273 0.121096i
\(324\) 1.56088 1.25046i 0.0867157 0.0694699i
\(325\) 49.6202 40.7222i 2.75243 2.25886i
\(326\) −10.4339 14.2434i −0.577881 0.788867i
\(327\) 0.902755 + 1.35107i 0.0499224 + 0.0747142i
\(328\) −22.2292 3.70056i −1.22740 0.204329i
\(329\) −4.73300 3.16249i −0.260939 0.174354i
\(330\) 8.93992 + 8.19925i 0.492126 + 0.451354i
\(331\) −7.59283 25.0302i −0.417340 1.37578i −0.873906 0.486095i \(-0.838421\pi\)
0.456566 0.889689i \(-0.349079\pi\)
\(332\) 2.45685 + 6.13512i 0.134837 + 0.336709i
\(333\) 1.87530 2.28507i 0.102766 0.125221i
\(334\) −1.00647 1.12372i −0.0550716 0.0614873i
\(335\) −6.02002 + 14.5336i −0.328909 + 0.794057i
\(336\) 1.52589 + 20.4226i 0.0832441 + 1.11414i
\(337\) 8.30560 + 20.0515i 0.452435 + 1.09227i 0.971394 + 0.237475i \(0.0763198\pi\)
−0.518959 + 0.854799i \(0.673680\pi\)
\(338\) −13.5033 + 28.1199i −0.734483 + 1.52952i
\(339\) −5.25332 + 0.517407i −0.285321 + 0.0281017i
\(340\) −1.72364 + 8.16090i −0.0934776 + 0.442587i
\(341\) −2.98715 1.59666i −0.161763 0.0864643i
\(342\) 1.40625 + 3.01921i 0.0760411 + 0.163260i
\(343\) 12.1991 + 61.3288i 0.658687 + 3.31144i
\(344\) 11.1660 9.76596i 0.602030 0.526545i
\(345\) −3.59011 0.714117i −0.193285 0.0384467i
\(346\) −7.44608 4.52293i −0.400304 0.243154i
\(347\) 14.7426 + 1.45201i 0.791422 + 0.0779482i 0.485646 0.874155i \(-0.338584\pi\)
0.305775 + 0.952104i \(0.401084\pi\)
\(348\) 6.62455 3.44103i 0.355113 0.184459i
\(349\) −34.8059 10.5582i −1.86312 0.565170i −0.997973 0.0636453i \(-0.979727\pi\)
−0.865143 0.501525i \(-0.832773\pi\)
\(350\) 19.5223 76.0315i 1.04351 4.06405i
\(351\) 4.18674 4.18674i 0.223471 0.223471i
\(352\) −11.9080 + 2.61214i −0.634699 + 0.139228i
\(353\) 7.96593 + 7.96593i 0.423984 + 0.423984i 0.886573 0.462589i \(-0.153079\pi\)
−0.462589 + 0.886573i \(0.653079\pi\)
\(354\) −5.47177 + 3.23593i −0.290821 + 0.171988i
\(355\) 4.99556 16.4681i 0.265137 0.874038i
\(356\) −2.46163 28.4281i −0.130466 1.50669i
\(357\) −0.525837 + 5.33891i −0.0278302 + 0.282565i
\(358\) −15.6462 + 3.82122i −0.826928 + 0.201958i
\(359\) −1.48940 + 7.48774i −0.0786077 + 0.395188i 0.921371 + 0.388684i \(0.127070\pi\)
−0.999979 + 0.00650366i \(0.997930\pi\)
\(360\) 2.92817 10.8700i 0.154328 0.572898i
\(361\) 13.1949 2.62463i 0.694469 0.138138i
\(362\) 4.35969 11.9616i 0.229140 0.628686i
\(363\) 2.99597 5.60506i 0.157247 0.294189i
\(364\) 11.1257 + 59.5995i 0.583147 + 3.12386i
\(365\) 5.13559 + 52.1425i 0.268809 + 2.72927i
\(366\) −3.87036 11.0215i −0.202307 0.576102i
\(367\) −29.3351 + 12.1510i −1.53128 + 0.634277i −0.979812 0.199919i \(-0.935932\pi\)
−0.551468 + 0.834196i \(0.685932\pi\)
\(368\) 2.66191 2.53915i 0.138761 0.132362i
\(369\) 7.36088 + 3.04898i 0.383192 + 0.158723i
\(370\) 0.914458 16.6137i 0.0475404 0.863707i
\(371\) 4.04036 + 3.31583i 0.209765 + 0.172150i
\(372\) −0.0370866 + 3.14310i −0.00192285 + 0.162962i
\(373\) 27.3447 8.29491i 1.41585 0.429494i 0.512609 0.858622i \(-0.328679\pi\)
0.903244 + 0.429128i \(0.141179\pi\)
\(374\) −3.19057 + 0.137880i −0.164980 + 0.00712960i
\(375\) −12.9165 + 19.3310i −0.667007 + 0.998247i
\(376\) −3.14312 + 0.0986922i −0.162094 + 0.00508966i
\(377\) 18.3753 12.2780i 0.946374 0.632347i
\(378\) 1.10465 7.15585i 0.0568172 0.368057i
\(379\) 4.57398 + 5.57342i 0.234950 + 0.286287i 0.877116 0.480278i \(-0.159464\pi\)
−0.642166 + 0.766565i \(0.721964\pi\)
\(380\) 16.4282 + 9.03188i 0.842751 + 0.463326i
\(381\) 5.82091 3.11134i 0.298215 0.159399i
\(382\) 14.2063 18.9207i 0.726859 0.968067i
\(383\) 30.8807 1.57793 0.788965 0.614438i \(-0.210617\pi\)
0.788965 + 0.614438i \(0.210617\pi\)
\(384\) 7.24526 + 8.68943i 0.369733 + 0.443431i
\(385\) 43.9162 2.23818
\(386\) −1.85893 + 2.47582i −0.0946173 + 0.126016i
\(387\) −4.62540 + 2.47233i −0.235122 + 0.125675i
\(388\) 8.26382 15.0312i 0.419532 0.763094i
\(389\) 2.10769 + 2.56823i 0.106864 + 0.130214i 0.823696 0.567032i \(-0.191908\pi\)
−0.716832 + 0.697246i \(0.754408\pi\)
\(390\) 5.08454 32.9373i 0.257466 1.66784i
\(391\) 0.801259 0.535384i 0.0405214 0.0270755i
\(392\) 39.6135 + 37.2015i 2.00078 + 1.87896i
\(393\) −6.68928 + 10.0112i −0.337430 + 0.504999i
\(394\) 2.14427 0.0926645i 0.108027 0.00466837i
\(395\) 55.2615 16.7634i 2.78051 0.843458i
\(396\) 4.30992 + 0.0508543i 0.216581 + 0.00255553i
\(397\) 2.70986 + 2.22393i 0.136004 + 0.111616i 0.699936 0.714206i \(-0.253212\pi\)
−0.563932 + 0.825821i \(0.690712\pi\)
\(398\) −2.01365 + 36.5836i −0.100935 + 1.83377i
\(399\) 11.1401 + 4.61438i 0.557702 + 0.231008i
\(400\) −15.6452 40.4447i −0.782261 2.02224i
\(401\) 5.07221 2.10098i 0.253294 0.104918i −0.252424 0.967617i \(-0.581228\pi\)
0.505718 + 0.862699i \(0.331228\pi\)
\(402\) 1.85199 + 5.27384i 0.0923687 + 0.263035i
\(403\) 0.912117 + 9.26088i 0.0454358 + 0.461317i
\(404\) 29.4244 5.49279i 1.46392 0.273276i
\(405\) −1.87621 + 3.51015i −0.0932298 + 0.174421i
\(406\) 9.25453 25.3914i 0.459295 1.26016i
\(407\) 6.24822 1.24285i 0.309713 0.0616057i
\(408\) 1.47842 + 2.56861i 0.0731926 + 0.127165i
\(409\) −2.79358 + 14.0443i −0.138134 + 0.694444i 0.848199 + 0.529678i \(0.177687\pi\)
−0.986333 + 0.164767i \(0.947313\pi\)
\(410\) 43.5657 10.6399i 2.15156 0.525467i
\(411\) −1.80682 + 18.3449i −0.0891237 + 0.904889i
\(412\) −8.46758 + 0.733220i −0.417168 + 0.0361231i
\(413\) −6.68070 + 22.0233i −0.328736 + 1.08370i
\(414\) −1.11951 + 0.662063i −0.0550209 + 0.0325386i
\(415\) −9.29976 9.29976i −0.456507 0.456507i
\(416\) 24.1432 + 23.2153i 1.18372 + 1.13822i
\(417\) 7.27234 7.27234i 0.356128 0.356128i
\(418\) −1.78513 + 6.95238i −0.0873137 + 0.340052i
\(419\) −34.7068 10.5282i −1.69554 0.514336i −0.713123 0.701039i \(-0.752720\pi\)
−0.982416 + 0.186703i \(0.940220\pi\)
\(420\) −18.7866 36.1673i −0.916691 1.76478i
\(421\) −3.34688 0.329639i −0.163117 0.0160656i 0.0161290 0.999870i \(-0.494866\pi\)
−0.179246 + 0.983804i \(0.557366\pi\)
\(422\) −15.5601 9.45161i −0.757456 0.460097i
\(423\) 1.09044 + 0.216903i 0.0530192 + 0.0105462i
\(424\) 2.88104 + 0.192699i 0.139916 + 0.00935828i
\(425\) −2.21619 11.1415i −0.107501 0.540444i
\(426\) −2.58174 5.54300i −0.125086 0.268559i
\(427\) −37.2963 19.9353i −1.80490 0.964737i
\(428\) −26.4110 5.57821i −1.27663 0.269633i
\(429\) 12.6988 1.25073i 0.613105 0.0603856i
\(430\) −12.7790 + 26.6117i −0.616260 + 1.28333i
\(431\) −1.02820 2.48230i −0.0495268 0.119568i 0.897180 0.441666i \(-0.145612\pi\)
−0.946707 + 0.322097i \(0.895612\pi\)
\(432\) −1.80182 3.57119i −0.0866903 0.171819i
\(433\) 0.0986767 0.238227i 0.00474210 0.0114484i −0.921491 0.388400i \(-0.873028\pi\)
0.926233 + 0.376952i \(0.123028\pi\)
\(434\) 7.59231 + 8.47679i 0.364442 + 0.406899i
\(435\) −9.42434 + 11.4836i −0.451863 + 0.550596i
\(436\) 3.01692 1.20815i 0.144484 0.0578597i
\(437\) −0.628746 2.07270i −0.0300770 0.0991505i
\(438\) 13.7202 + 12.5835i 0.655578 + 0.601264i
\(439\) −0.577408 0.385812i −0.0275582 0.0184138i 0.541715 0.840562i \(-0.317775\pi\)
−0.569273 + 0.822149i \(0.692775\pi\)
\(440\) 19.7394 14.1052i 0.941038 0.672438i
\(441\) −10.6743 15.9752i −0.508300 0.760724i
\(442\) 5.18496 + 7.07800i 0.246624 + 0.336666i
\(443\) −21.4441 + 17.5987i −1.01884 + 0.836141i −0.986570 0.163338i \(-0.947774\pi\)
−0.0322705 + 0.999479i \(0.510274\pi\)
\(444\) −3.69643 4.61406i −0.175425 0.218974i
\(445\) 26.7684 + 50.0802i 1.26894 + 2.37403i
\(446\) −15.8190 + 2.25123i −0.749049 + 0.106599i
\(447\) 10.2167i 0.483231i
\(448\) 40.5942 + 5.45470i 1.91790 + 0.257710i
\(449\) 18.2906i 0.863185i −0.902069 0.431592i \(-0.857952\pi\)
0.902069 0.431592i \(-0.142048\pi\)
\(450\) 2.16016 + 15.1790i 0.101831 + 0.715545i
\(451\) 8.09413 + 15.1431i 0.381138 + 0.713059i
\(452\) −1.15870 + 10.4937i −0.0545009 + 0.493582i
\(453\) −4.64803 + 3.81454i −0.218383 + 0.179223i
\(454\) −28.8123 + 21.1064i −1.35223 + 0.990570i
\(455\) −67.0325 100.321i −3.14253 4.70313i
\(456\) 6.48929 1.50395i 0.303889 0.0704291i
\(457\) 12.2632 + 8.19402i 0.573649 + 0.383300i 0.808292 0.588782i \(-0.200392\pi\)
−0.234643 + 0.972082i \(0.575392\pi\)
\(458\) −15.6578 + 17.0722i −0.731640 + 0.797732i
\(459\) −0.304168 1.00271i −0.0141973 0.0468023i
\(460\) −2.88119 + 6.73009i −0.134336 + 0.313792i
\(461\) −10.3822 + 12.6508i −0.483549 + 0.589207i −0.956445 0.291912i \(-0.905709\pi\)
0.472896 + 0.881118i \(0.343209\pi\)
\(462\) 11.6236 10.4108i 0.540781 0.484355i
\(463\) −9.47222 + 22.8680i −0.440211 + 1.06276i 0.535663 + 0.844432i \(0.320062\pi\)
−0.975874 + 0.218333i \(0.929938\pi\)
\(464\) −3.99560 14.3853i −0.185491 0.667821i
\(465\) −2.39383 5.77922i −0.111011 0.268005i
\(466\) 28.2018 + 13.5426i 1.30642 + 0.627350i
\(467\) −24.2707 + 2.39046i −1.12312 + 0.110617i −0.642479 0.766303i \(-0.722094\pi\)
−0.480636 + 0.876920i \(0.659594\pi\)
\(468\) −6.46237 9.92310i −0.298723 0.458695i
\(469\) 17.8465 + 9.53915i 0.824074 + 0.440477i
\(470\) 5.67292 2.64225i 0.261672 0.121878i
\(471\) −1.36229 6.84871i −0.0627711 0.315572i
\(472\) 4.07070 + 12.0447i 0.187369 + 0.554404i
\(473\) −11.0857 2.20508i −0.509720 0.101390i
\(474\) 10.6525 17.5372i 0.489287 0.805512i
\(475\) −25.4097 2.50264i −1.16588 0.114829i
\(476\) 10.2300 + 3.23553i 0.468892 + 0.148300i
\(477\) −0.976920 0.296345i −0.0447301 0.0135687i
\(478\) −22.2873 5.72262i −1.01940 0.261746i
\(479\) −14.5455 + 14.5455i −0.664602 + 0.664602i −0.956461 0.291859i \(-0.905726\pi\)
0.291859 + 0.956461i \(0.405726\pi\)
\(480\) −20.0605 10.2225i −0.915632 0.466589i
\(481\) −12.3762 12.3762i −0.564308 0.564308i
\(482\) −7.08535 11.9809i −0.322729 0.545716i
\(483\) −1.36685 + 4.50591i −0.0621940 + 0.205026i
\(484\) −9.72992 8.17915i −0.442269 0.371780i
\(485\) −3.34587 + 33.9712i −0.151928 + 1.54255i
\(486\) 0.335527 + 1.37383i 0.0152198 + 0.0623184i
\(487\) 4.38461 22.0429i 0.198686 0.998860i −0.744760 0.667332i \(-0.767436\pi\)
0.943446 0.331527i \(-0.107564\pi\)
\(488\) −23.1668 + 3.01849i −1.04871 + 0.136641i
\(489\) 12.2449 2.43566i 0.553734 0.110144i
\(490\) −101.608 37.0334i −4.59016 1.67300i
\(491\) −2.82768 + 5.29022i −0.127612 + 0.238744i −0.937611 0.347686i \(-0.886967\pi\)
0.809999 + 0.586431i \(0.199467\pi\)
\(492\) 9.00856 13.1439i 0.406137 0.592571i
\(493\) −0.383343 3.89215i −0.0172649 0.175293i
\(494\) 18.6066 6.53400i 0.837152 0.293978i
\(495\) −7.92465 + 3.28250i −0.356187 + 0.147537i
\(496\) 6.13518 + 1.37161i 0.275478 + 0.0615869i
\(497\) −20.4522 8.47157i −0.917405 0.380002i
\(498\) −4.66604 0.256830i −0.209090 0.0115088i
\(499\) 16.8268 + 13.8094i 0.753271 + 0.618193i 0.930634 0.365952i \(-0.119257\pi\)
−0.177363 + 0.984146i \(0.556757\pi\)
\(500\) 32.4891 + 33.2649i 1.45295 + 1.48765i
\(501\) 1.02078 0.309649i 0.0456049 0.0138341i
\(502\) −0.456813 10.5707i −0.0203886 0.471795i
\(503\) −18.2050 + 27.2458i −0.811722 + 1.21483i 0.161933 + 0.986802i \(0.448227\pi\)
−0.973655 + 0.228026i \(0.926773\pi\)
\(504\) −13.5462 5.11911i −0.603397 0.228023i
\(505\) −49.5287 + 33.0940i −2.20400 + 1.47267i
\(506\) −2.77018 0.427634i −0.123149 0.0190107i
\(507\) −13.9931 17.0507i −0.621458 0.757248i
\(508\) −3.68260 12.6765i −0.163389 0.562427i
\(509\) 2.89474 1.54727i 0.128307 0.0685817i −0.405994 0.913876i \(-0.633075\pi\)
0.534302 + 0.845294i \(0.320575\pi\)
\(510\) −4.71645 3.54128i −0.208848 0.156810i
\(511\) 67.3989 2.98155
\(512\) 19.9982 10.5864i 0.883803 0.467859i
\(513\) −2.35512 −0.103981
\(514\) 7.95818 + 5.97528i 0.351020 + 0.263558i
\(515\) 14.9168 7.97322i 0.657315 0.351342i
\(516\) 2.92626 + 10.0729i 0.128821 + 0.443436i
\(517\) 1.52005 + 1.85218i 0.0668517 + 0.0814590i
\(518\) −21.1531 3.26542i −0.929415 0.143474i
\(519\) 5.12219 3.42254i 0.224839 0.150233i
\(520\) −62.3512 23.5625i −2.73428 1.03328i
\(521\) 19.7361 29.5372i 0.864655 1.29405i −0.0898805 0.995953i \(-0.528649\pi\)
0.954536 0.298096i \(-0.0963515\pi\)
\(522\) 0.227897 + 5.27359i 0.00997480 + 0.230819i
\(523\) −36.8820 + 11.1880i −1.61274 + 0.489218i −0.962674 0.270663i \(-0.912757\pi\)
−0.650062 + 0.759881i \(0.725257\pi\)
\(524\) 16.8256 + 17.2274i 0.735030 + 0.752583i
\(525\) 42.9070 + 35.2128i 1.87261 + 1.53681i
\(526\) 31.4744 + 1.73242i 1.37235 + 0.0755373i
\(527\) 1.52147 + 0.630212i 0.0662761 + 0.0274525i
\(528\) 1.88079 8.41276i 0.0818509 0.366118i
\(529\) −20.4678 + 8.47804i −0.889904 + 0.368610i
\(530\) −5.42168 + 1.90390i −0.235503 + 0.0827003i
\(531\) −0.440595 4.47344i −0.0191202 0.194131i
\(532\) 13.6337 19.8922i 0.591097 0.862435i
\(533\) 22.2378 41.6040i 0.963226 1.80207i
\(534\) 18.9570 + 6.90936i 0.820351 + 0.298997i
\(535\) 52.6868 10.4801i 2.27785 0.453092i
\(536\) 11.0854 1.44436i 0.478817 0.0623870i
\(537\) 2.22183 11.1699i 0.0958790 0.482016i
\(538\) −1.99038 8.14972i −0.0858113 0.351359i
\(539\) 4.05855 41.2072i 0.174814 1.77492i
\(540\) 6.09333 + 5.12217i 0.262215 + 0.220423i
\(541\) 2.08479 6.87262i 0.0896320 0.295477i −0.900651 0.434543i \(-0.856910\pi\)
0.990283 + 0.139066i \(0.0444100\pi\)
\(542\) 6.77826 + 11.4616i 0.291151 + 0.492320i
\(543\) 6.36565 + 6.36565i 0.273176 + 0.273176i
\(544\) 5.63737 1.83141i 0.241700 0.0785212i
\(545\) −4.57311 + 4.57311i −0.195890 + 0.195890i
\(546\) −41.5242 10.6620i −1.77707 0.456292i
\(547\) −1.46733 0.445109i −0.0627385 0.0190315i 0.258759 0.965942i \(-0.416686\pi\)
−0.321498 + 0.946910i \(0.604186\pi\)
\(548\) 35.1512 + 11.1175i 1.50158 + 0.474918i
\(549\) 8.22015 + 0.809614i 0.350828 + 0.0345535i
\(550\) −17.1539 + 28.2404i −0.731444 + 1.20417i
\(551\) −8.62152 1.71493i −0.367289 0.0730583i
\(552\) 0.832855 + 2.46432i 0.0354486 + 0.104888i
\(553\) −14.4923 72.8578i −0.616276 3.09823i
\(554\) 2.43589 1.13456i 0.103491 0.0482027i
\(555\) 10.3762 + 5.54620i 0.440446 + 0.235423i
\(556\) −11.2251 17.2364i −0.476050 0.730985i
\(557\) −1.25686 + 0.123790i −0.0532547 + 0.00524514i −0.124609 0.992206i \(-0.539768\pi\)
0.0713547 + 0.997451i \(0.477268\pi\)
\(558\) −2.00362 0.962146i −0.0848200 0.0407309i
\(559\) 11.8836 + 28.6896i 0.502624 + 1.21344i
\(560\) −78.5377 + 21.8143i −3.31882 + 0.921823i
\(561\) 0.864167 2.08628i 0.0364852 0.0880830i
\(562\) −29.5926 + 26.5049i −1.24829 + 1.11804i
\(563\) −19.4785 + 23.7346i −0.820919 + 1.00029i 0.178946 + 0.983859i \(0.442731\pi\)
−0.999865 + 0.0164340i \(0.994769\pi\)
\(564\) 0.875120 2.04417i 0.0368492 0.0860751i
\(565\) −6.09888 20.1053i −0.256582 0.845836i
\(566\) −4.98642 + 5.43686i −0.209595 + 0.228528i
\(567\) 4.25703 + 2.84446i 0.178778 + 0.119456i
\(568\) −11.9137 + 2.76112i −0.499889 + 0.115854i
\(569\) −3.43878 5.14650i −0.144161 0.215753i 0.752361 0.658751i \(-0.228915\pi\)
−0.896523 + 0.442998i \(0.853915\pi\)
\(570\) −10.6940 + 7.83385i −0.447922 + 0.328124i
\(571\) −13.0065 + 10.6742i −0.544306 + 0.446700i −0.865929 0.500168i \(-0.833272\pi\)
0.321623 + 0.946868i \(0.395772\pi\)
\(572\) 2.80093 25.3664i 0.117113 1.06062i
\(573\) 7.88666 + 14.7549i 0.329470 + 0.616395i
\(574\) −8.12788 57.1131i −0.339251 2.38386i
\(575\) 9.97057i 0.415802i
\(576\) −7.73291 + 2.04990i −0.322205 + 0.0854125i
\(577\) 32.6234i 1.35813i −0.734078 0.679065i \(-0.762385\pi\)
0.734078 0.679065i \(-0.237615\pi\)
\(578\) −22.2646 + 3.16852i −0.926085 + 0.131793i
\(579\) −1.03199 1.93072i −0.0428880 0.0802378i
\(580\) 18.5764 + 23.1880i 0.771343 + 0.962828i
\(581\) −13.0778 + 10.7327i −0.542561 + 0.445268i
\(582\) 7.16767 + 9.78460i 0.297109 + 0.405585i
\(583\) −1.22231 1.82932i −0.0506230 0.0757627i
\(584\) 30.2943 21.6474i 1.25359 0.895777i
\(585\) 19.5944 + 13.0926i 0.810130 + 0.541312i
\(586\) 1.23241 + 1.13030i 0.0509104 + 0.0466925i
\(587\) 1.49705 + 4.93510i 0.0617898 + 0.203694i 0.982400 0.186789i \(-0.0598081\pi\)
−0.920610 + 0.390483i \(0.872308\pi\)
\(588\) −35.6724 + 14.2853i −1.47111 + 0.589115i
\(589\) 2.34817 2.86126i 0.0967547 0.117896i
\(590\) −16.8806 18.8472i −0.694965 0.775926i
\(591\) −0.580778 + 1.40212i −0.0238900 + 0.0576756i
\(592\) −10.5567 + 5.32630i −0.433876 + 0.218910i
\(593\) −1.21105 2.92373i −0.0497317 0.120063i 0.897061 0.441906i \(-0.145698\pi\)
−0.946793 + 0.321843i \(0.895698\pi\)
\(594\) −1.31933 + 2.74743i −0.0541326 + 0.112728i
\(595\) −21.2495 + 2.09289i −0.871144 + 0.0858002i
\(596\) 19.9923 + 4.22251i 0.818915 + 0.172961i
\(597\) −22.8485 12.2128i −0.935128 0.499836i
\(598\) 3.25145 + 6.98086i 0.132962 + 0.285469i
\(599\) −2.55189 12.8292i −0.104267 0.524188i −0.997251 0.0740986i \(-0.976392\pi\)
0.892983 0.450090i \(-0.148608\pi\)
\(600\) 30.5955 + 2.04639i 1.24906 + 0.0835433i
\(601\) −8.67770 1.72610i −0.353971 0.0704092i 0.0149023 0.999889i \(-0.495256\pi\)
−0.368873 + 0.929480i \(0.620256\pi\)
\(602\) 32.4562 + 19.7147i 1.32282 + 0.803512i
\(603\) −3.93339 0.387405i −0.160180 0.0157763i
\(604\) 5.54339 + 10.6719i 0.225557 + 0.434235i
\(605\) 24.2064 + 7.34294i 0.984131 + 0.298533i
\(606\) −5.26385 + 20.5006i −0.213829 + 0.832779i
\(607\) −0.0933037 + 0.0933037i −0.00378708 + 0.00378708i −0.708998 0.705211i \(-0.750852\pi\)
0.705211 + 0.708998i \(0.250852\pi\)
\(608\) −0.260977 13.3200i −0.0105840 0.540198i
\(609\) 13.5127 + 13.5127i 0.547562 + 0.547562i
\(610\) 40.0186 23.6665i 1.62031 0.958227i
\(611\) 1.91093 6.29949i 0.0773079 0.254850i
\(612\) −2.08784 + 0.180789i −0.0843958 + 0.00730795i
\(613\) −0.283150 + 2.87487i −0.0114363 + 0.116115i −0.999208 0.0397928i \(-0.987330\pi\)
0.987772 + 0.155908i \(0.0498302\pi\)
\(614\) 28.5147 6.96406i 1.15076 0.281047i
\(615\) −6.18651 + 31.1017i −0.249464 + 1.25414i
\(616\) −15.5682 27.0483i −0.627260 1.08981i
\(617\) −41.2931 + 8.21370i −1.66240 + 0.330671i −0.934757 0.355288i \(-0.884383\pi\)
−0.727640 + 0.685959i \(0.759383\pi\)
\(618\) 2.05802 5.64653i 0.0827856 0.227137i
\(619\) 3.57916 6.69613i 0.143858 0.269140i −0.799665 0.600447i \(-0.794989\pi\)
0.943523 + 0.331307i \(0.107489\pi\)
\(620\) −12.2983 + 2.29579i −0.493912 + 0.0922010i
\(621\) −0.0901446 0.915253i −0.00361738 0.0367279i
\(622\) 6.19622 + 17.6447i 0.248446 + 0.707490i
\(623\) 67.4863 27.9537i 2.70378 1.11994i
\(624\) −22.0887 + 8.54457i −0.884256 + 0.342056i
\(625\) −35.4102 14.6674i −1.41641 0.586695i
\(626\) −2.01626 + 36.6311i −0.0805860 + 1.46407i
\(627\) −3.92345 3.21989i −0.156687 0.128590i
\(628\) −13.9648 0.164776i −0.557256 0.00657527i
\(629\) −2.96406 + 0.899138i −0.118185 + 0.0358510i
\(630\) 28.7916 1.24422i 1.14708 0.0495711i
\(631\) 12.8689 19.2596i 0.512301 0.766713i −0.481670 0.876353i \(-0.659970\pi\)
0.993971 + 0.109639i \(0.0349696\pi\)
\(632\) −29.9147 28.0933i −1.18994 1.11749i
\(633\) 10.7039 7.15210i 0.425441 0.284270i
\(634\) 1.77979 11.5293i 0.0706843 0.457887i
\(635\) 16.6654 + 20.3069i 0.661346 + 0.805853i
\(636\) −0.983656 + 1.78919i −0.0390045 + 0.0709459i
\(637\) −100.328 + 53.6262i −3.97513 + 2.12475i
\(638\) −6.83032 + 9.09697i −0.270415 + 0.360152i
\(639\) 4.32378 0.171046
\(640\) −28.2946 + 35.0301i −1.11844 + 1.38469i
\(641\) 42.9988 1.69835 0.849176 0.528110i \(-0.177099\pi\)
0.849176 + 0.528110i \(0.177099\pi\)
\(642\) 11.4606 15.2638i 0.452314 0.602415i
\(643\) 4.45573 2.38164i 0.175717 0.0939227i −0.381193 0.924495i \(-0.624487\pi\)
0.556910 + 0.830573i \(0.311987\pi\)
\(644\) 8.25239 + 4.53698i 0.325190 + 0.178782i
\(645\) −13.2426 16.1362i −0.521427 0.635361i
\(646\) 0.532436 3.44908i 0.0209484 0.135702i
\(647\) 27.3266 18.2591i 1.07432 0.717838i 0.113090 0.993585i \(-0.463925\pi\)
0.961230 + 0.275747i \(0.0889252\pi\)
\(648\) 2.82703 0.0887673i 0.111056 0.00348711i
\(649\) 5.38203 8.05477i 0.211263 0.316178i
\(650\) 90.6949 3.91937i 3.55735 0.153730i
\(651\) −7.70022 + 2.33584i −0.301795 + 0.0915486i
\(652\) 0.294605 24.9679i 0.0115376 0.977817i
\(653\) −16.6595 13.6721i −0.651935 0.535029i 0.249264 0.968436i \(-0.419811\pi\)
−0.901198 + 0.433407i \(0.857311\pi\)
\(654\) −0.126295 + 2.29450i −0.00493852 + 0.0897222i
\(655\) −44.2743 18.3390i −1.72994 0.716565i
\(656\) −21.9971 23.0606i −0.858842 0.900363i
\(657\) −12.1621 + 5.03770i −0.474488 + 0.196539i
\(658\) −2.66726 7.59545i −0.103981 0.296102i
\(659\) −3.20118 32.5022i −0.124700 1.26610i −0.830229 0.557423i \(-0.811790\pi\)
0.705528 0.708682i \(-0.250710\pi\)
\(660\) 3.14806 + 16.8639i 0.122538 + 0.656424i
\(661\) −9.96831 + 18.6494i −0.387722 + 0.725378i −0.997753 0.0670003i \(-0.978657\pi\)
0.610031 + 0.792378i \(0.291157\pi\)
\(662\) 12.6671 34.7544i 0.492321 1.35077i
\(663\) −6.08490 + 1.21036i −0.236318 + 0.0470066i
\(664\) −2.43104 + 9.02451i −0.0943425 + 0.350219i
\(665\) −9.36278 + 47.0699i −0.363073 + 1.82529i
\(666\) 4.06114 0.991838i 0.157366 0.0384329i
\(667\) 0.336462 3.41616i 0.0130279 0.132274i
\(668\) −0.184047 2.12546i −0.00712098 0.0822366i
\(669\) 3.27975 10.8119i 0.126803 0.418012i
\(670\) −19.1491 + 11.3245i −0.739795 + 0.437505i
\(671\) 12.5872 + 12.5872i 0.485925 + 0.485925i
\(672\) −15.6159 + 24.3920i −0.602395 + 0.940941i
\(673\) −15.8907 + 15.8907i −0.612543 + 0.612543i −0.943608 0.331065i \(-0.892592\pi\)
0.331065 + 0.943608i \(0.392592\pi\)
\(674\) −7.63343 + 29.7291i −0.294029 + 1.14512i
\(675\) −10.3745 3.14707i −0.399315 0.121131i
\(676\) −39.1487 + 20.3352i −1.50572 + 0.782124i
\(677\) 10.7512 + 1.05890i 0.413201 + 0.0406967i 0.302482 0.953155i \(-0.402185\pi\)
0.110719 + 0.993852i \(0.464685\pi\)
\(678\) −6.38041 3.87562i −0.245038 0.148842i
\(679\) 43.0671 + 8.56659i 1.65276 + 0.328755i
\(680\) −8.87898 + 7.76570i −0.340493 + 0.297801i
\(681\) −4.92700 24.7697i −0.188803 0.949178i
\(682\) −2.02244 4.34218i −0.0774432 0.166271i
\(683\) −11.8713 6.34536i −0.454244 0.242799i 0.228374 0.973573i \(-0.426659\pi\)
−0.682619 + 0.730775i \(0.739159\pi\)
\(684\) −0.973365 + 4.60857i −0.0372175 + 0.176213i
\(685\) −73.0149 + 7.19134i −2.78976 + 0.274767i
\(686\) −38.2801 + 79.7164i −1.46154 + 3.04359i
\(687\) −6.26846 15.1334i −0.239157 0.577375i
\(688\) 20.9204 1.56308i 0.797583 0.0595920i
\(689\) −2.31315 + 5.58444i −0.0881241 + 0.212750i
\(690\) −3.45373 3.85608i −0.131481 0.146799i
\(691\) 22.9713 27.9906i 0.873868 1.06481i −0.123503 0.992344i \(-0.539413\pi\)
0.997371 0.0724673i \(-0.0230873\pi\)
\(692\) −4.58034 11.4378i −0.174118 0.434799i
\(693\) 3.20297 + 10.5588i 0.121671 + 0.401095i
\(694\) 15.4397 + 14.1605i 0.586081 + 0.537525i
\(695\) 34.0355 + 22.7418i 1.29104 + 0.862644i
\(696\) 10.4137 + 1.73360i 0.394731 + 0.0657121i
\(697\) −4.63812 6.94144i −0.175681 0.262926i
\(698\) −30.3972 41.4953i −1.15055 1.57062i
\(699\) −17.1004 + 14.0339i −0.646795 + 0.530811i
\(700\) 86.6389 69.4083i 3.27464 2.62339i
\(701\) −12.4507 23.2937i −0.470257 0.879790i −0.999509 0.0313250i \(-0.990027\pi\)
0.529252 0.848465i \(-0.322473\pi\)
\(702\) 8.28995 1.17976i 0.312884 0.0445271i
\(703\) 6.96188i 0.262572i
\(704\) −15.6850 7.15736i −0.591151 0.269753i
\(705\) 4.42512i 0.166660i
\(706\) 2.24468 + 15.7729i 0.0844796 + 0.593622i
\(707\) 36.1212 + 67.5780i 1.35848 + 2.54153i
\(708\) −8.93586 0.986689i −0.335830 0.0370821i
\(709\) 23.3612 19.1720i 0.877348 0.720021i −0.0836742 0.996493i \(-0.526665\pi\)
0.961022 + 0.276473i \(0.0891655\pi\)
\(710\) 19.6332 14.3822i 0.736821 0.539755i
\(711\) 8.06085 + 12.0639i 0.302306 + 0.452432i
\(712\) 21.3553 34.2401i 0.800325 1.28320i
\(713\) 1.20183 + 0.803035i 0.0450088 + 0.0300739i
\(714\) −5.12812 + 5.59136i −0.191915 + 0.209251i
\(715\) 14.7428 + 48.6005i 0.551349 + 1.81755i
\(716\) −20.9393 8.96423i −0.782539 0.335009i
\(717\) 10.3220 12.5774i 0.385483 0.469713i
\(718\) −8.04247 + 7.20331i −0.300142 + 0.268825i
\(719\) 1.57456 3.80132i 0.0587211 0.141765i −0.891796 0.452438i \(-0.850554\pi\)
0.950517 + 0.310673i \(0.100554\pi\)
\(720\) 12.5416 9.80664i 0.467397 0.365472i
\(721\) −8.32629 20.1014i −0.310087 0.748616i
\(722\) 17.1510 + 8.23598i 0.638294 + 0.306512i
\(723\) 9.79498 0.964722i 0.364279 0.0358784i
\(724\) 15.0874 9.82559i 0.560719 0.365165i
\(725\) −35.6869 19.0750i −1.32538 0.708429i
\(726\) 8.14762 3.79488i 0.302387 0.140841i
\(727\) −0.806755 4.05583i −0.0299209 0.150423i 0.962937 0.269727i \(-0.0869335\pi\)
−0.992858 + 0.119305i \(0.961933\pi\)
\(728\) −38.0256 + 76.8493i −1.40932 + 2.84823i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −38.4680 + 63.3297i −1.42376 + 2.34394i
\(731\) 5.46905 + 0.538654i 0.202280 + 0.0199228i
\(732\) 4.98164 15.7508i 0.184127 0.582168i
\(733\) 46.4429 + 14.0883i 1.71541 + 0.520364i 0.986431 0.164173i \(-0.0524957\pi\)
0.728978 + 0.684537i \(0.239996\pi\)
\(734\) −43.4934 11.1676i −1.60537 0.412204i
\(735\) 54.0731 54.0731i 1.99451 1.99451i
\(736\) 5.16647 0.611259i 0.190439 0.0225313i
\(737\) −6.02306 6.02306i −0.221862 0.221862i
\(738\) 5.73556 + 9.69851i 0.211129 + 0.357007i
\(739\) 13.1486 43.3452i 0.483680 1.59448i −0.287446 0.957797i \(-0.592806\pi\)
0.771126 0.636683i \(-0.219694\pi\)
\(740\) 15.1414 18.0123i 0.556610 0.662144i
\(741\) −1.36680 + 13.8774i −0.0502108 + 0.509798i
\(742\) 1.75373 + 7.18073i 0.0643813 + 0.263613i
\(743\) −2.52762 + 12.7072i −0.0927295 + 0.466183i 0.906320 + 0.422592i \(0.138880\pi\)
−0.999049 + 0.0435905i \(0.986120\pi\)
\(744\) −2.71085 + 3.52309i −0.0993845 + 0.129163i
\(745\) −39.8821 + 7.93305i −1.46117 + 0.290644i
\(746\) 37.9680 + 13.8384i 1.39011 + 0.506659i
\(747\) 1.55768 2.91421i 0.0569924 0.106625i
\(748\) −3.72535 2.55328i −0.136212 0.0933573i
\(749\) −6.77321 68.7695i −0.247488 2.51278i
\(750\) −31.0221 + 10.8939i −1.13277 + 0.397788i
\(751\) −26.0939 + 10.8085i −0.952181 + 0.394406i −0.804050 0.594561i \(-0.797326\pi\)
−0.148131 + 0.988968i \(0.547326\pi\)
\(752\) −3.63841 2.55731i −0.132679 0.0932555i
\(753\) 6.91212 + 2.86309i 0.251892 + 0.104337i
\(754\) 31.2065 + 1.71768i 1.13647 + 0.0625542i
\(755\) −18.4997 15.1823i −0.673273 0.552541i
\(756\) 7.32553 7.15468i 0.266427 0.260213i
\(757\) −31.0119 + 9.40736i −1.12715 + 0.341916i −0.798176 0.602424i \(-0.794202\pi\)
−0.328971 + 0.944340i \(0.606702\pi\)
\(758\) 0.440229 + 10.1870i 0.0159898 + 0.370008i
\(759\) 1.10115 1.64798i 0.0399692 0.0598181i
\(760\) 10.9097 + 24.1641i 0.395737 + 0.876522i
\(761\) 16.7400 11.1853i 0.606825 0.405467i −0.213847 0.976867i \(-0.568599\pi\)
0.820672 + 0.571400i \(0.193599\pi\)
\(762\) 9.22492 + 1.42406i 0.334183 + 0.0515881i
\(763\) 5.27776 + 6.43097i 0.191068 + 0.232817i
\(764\) 32.1324 9.33469i 1.16251 0.337717i
\(765\) 3.67802 1.96594i 0.132979 0.0710789i
\(766\) 34.9235 + 26.2218i 1.26184 + 0.947432i
\(767\) −26.6151 −0.961016
\(768\) 0.815318 + 15.9792i 0.0294203 + 0.576600i
\(769\) 28.4767 1.02690 0.513448 0.858121i \(-0.328368\pi\)
0.513448 + 0.858121i \(0.328368\pi\)
\(770\) 49.6656 + 37.2907i 1.78983 + 1.34386i
\(771\) −6.20601 + 3.31718i −0.223504 + 0.119465i
\(772\) −4.20460 + 1.22147i −0.151327 + 0.0439616i
\(773\) 15.3911 + 18.7541i 0.553580 + 0.674540i 0.972343