Properties

Label 384.2.w.a.155.61
Level $384$
Weight $2$
Character 384.155
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 155.61
Character \(\chi\) \(=\) 384.155
Dual form 384.2.w.a.275.61

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41268 - 0.0658980i) q^{2} +(0.141669 - 1.72625i) q^{3} +(1.99131 - 0.186185i) q^{4} +(-0.635192 + 0.521289i) q^{5} +(0.0863763 - 2.44797i) q^{6} +(-2.61198 - 3.90910i) q^{7} +(2.80082 - 0.394243i) q^{8} +(-2.95986 - 0.489111i) q^{9} +O(q^{10})\) \(q+(1.41268 - 0.0658980i) q^{2} +(0.141669 - 1.72625i) q^{3} +(1.99131 - 0.186185i) q^{4} +(-0.635192 + 0.521289i) q^{5} +(0.0863763 - 2.44797i) q^{6} +(-2.61198 - 3.90910i) q^{7} +(2.80082 - 0.394243i) q^{8} +(-2.95986 - 0.489111i) q^{9} +(-0.862970 + 0.778271i) q^{10} +(1.17966 - 0.357847i) q^{11} +(-0.0392942 - 3.46388i) q^{12} +(0.549357 + 0.450845i) q^{13} +(-3.94749 - 5.35018i) q^{14} +(0.809886 + 1.17035i) q^{15} +(3.93067 - 0.741506i) q^{16} +(0.884985 + 2.13654i) q^{17} +(-4.21356 - 0.495908i) q^{18} +(3.14341 - 0.309599i) q^{19} +(-1.16781 + 1.15631i) q^{20} +(-7.11811 + 3.95512i) q^{21} +(1.64290 - 0.583260i) q^{22} +(5.92437 - 1.17843i) q^{23} +(-0.283773 - 4.89075i) q^{24} +(-0.843724 + 4.24169i) q^{25} +(0.805774 + 0.600698i) q^{26} +(-1.26365 + 5.04016i) q^{27} +(-5.92909 - 7.29794i) q^{28} +(3.75930 + 1.14037i) q^{29} +(1.22123 + 1.59996i) q^{30} +(-5.90175 + 5.90175i) q^{31} +(5.50391 - 1.30653i) q^{32} +(-0.450611 - 2.08709i) q^{33} +(1.39099 + 2.95993i) q^{34} +(3.69688 + 1.12144i) q^{35} +(-5.98508 - 0.422892i) q^{36} +(-4.73256 - 0.466116i) q^{37} +(4.42022 - 0.644508i) q^{38} +(0.856097 - 0.884455i) q^{39} +(-1.57354 + 1.71045i) q^{40} +(8.25119 - 1.64126i) q^{41} +(-9.79496 + 6.05638i) q^{42} +(0.894942 - 1.67432i) q^{43} +(2.28245 - 0.932222i) q^{44} +(2.13505 - 1.23226i) q^{45} +(8.29157 - 2.05515i) q^{46} +(-2.26955 - 5.47919i) q^{47} +(-0.723170 - 6.89036i) q^{48} +(-5.77987 + 13.9538i) q^{49} +(-0.912392 + 6.04774i) q^{50} +(3.81357 - 1.22502i) q^{51} +(1.17788 + 0.795493i) q^{52} +(-6.24996 + 1.89590i) q^{53} +(-1.45299 + 7.20339i) q^{54} +(-0.562771 + 0.842247i) q^{55} +(-8.85681 - 9.91892i) q^{56} +(-0.0891208 - 5.47016i) q^{57} +(5.38583 + 1.36325i) q^{58} +(-2.15331 + 1.76718i) q^{59} +(1.83064 + 2.17974i) q^{60} +(-6.77039 - 12.6665i) q^{61} +(-7.94836 + 8.72619i) q^{62} +(5.81911 + 12.8479i) q^{63} +(7.68914 - 2.20841i) q^{64} -0.583968 q^{65} +(-0.774102 - 2.91868i) q^{66} +(-1.16632 + 0.623413i) q^{67} +(2.16008 + 4.08976i) q^{68} +(-1.19496 - 10.3939i) q^{69} +(5.29640 + 1.34061i) q^{70} +(7.24752 + 10.8467i) q^{71} +(-8.48285 - 0.203006i) q^{72} +(5.44394 + 3.63753i) q^{73} +(-6.71629 - 0.346606i) q^{74} +(7.20268 + 2.05739i) q^{75} +(6.20188 - 1.20177i) q^{76} +(-4.48012 - 3.67674i) q^{77} +(1.15111 - 1.30586i) q^{78} +(7.26103 + 3.00762i) q^{79} +(-2.11019 + 2.52001i) q^{80} +(8.52154 + 2.89540i) q^{81} +(11.5481 - 2.86231i) q^{82} +(3.62089 - 0.356626i) q^{83} +(-13.4380 + 9.20118i) q^{84} +(-1.67589 - 0.895782i) q^{85} +(1.15393 - 2.42425i) q^{86} +(2.50114 - 6.32793i) q^{87} +(3.16294 - 1.46734i) q^{88} +(-3.36579 + 16.9210i) q^{89} +(2.93493 - 1.88148i) q^{90} +(0.327493 - 3.32509i) q^{91} +(11.5779 - 3.44966i) q^{92} +(9.35179 + 11.0240i) q^{93} +(-3.56721 - 7.59076i) q^{94} +(-1.83528 + 1.83528i) q^{95} +(-1.47567 - 9.68620i) q^{96} +(3.90793 + 3.90793i) q^{97} +(-7.24556 + 20.0931i) q^{98} +(-3.66666 + 0.482190i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} + O(q^{10}) \) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41268 0.0658980i 0.998914 0.0465969i
\(3\) 0.141669 1.72625i 0.0817926 0.996649i
\(4\) 1.99131 0.186185i 0.995657 0.0930926i
\(5\) −0.635192 + 0.521289i −0.284067 + 0.233127i −0.765626 0.643286i \(-0.777571\pi\)
0.481559 + 0.876413i \(0.340071\pi\)
\(6\) 0.0863763 2.44797i 0.0352630 0.999378i
\(7\) −2.61198 3.90910i −0.987235 1.47750i −0.875178 0.483800i \(-0.839256\pi\)
−0.112057 0.993702i \(-0.535744\pi\)
\(8\) 2.80082 0.394243i 0.990238 0.139386i
\(9\) −2.95986 0.489111i −0.986620 0.163037i
\(10\) −0.862970 + 0.778271i −0.272895 + 0.246111i
\(11\) 1.17966 0.357847i 0.355682 0.107895i −0.107387 0.994217i \(-0.534248\pi\)
0.463069 + 0.886322i \(0.346748\pi\)
\(12\) −0.0392942 3.46388i −0.0113432 0.999936i
\(13\) 0.549357 + 0.450845i 0.152364 + 0.125042i 0.707487 0.706726i \(-0.249829\pi\)
−0.555123 + 0.831768i \(0.687329\pi\)
\(14\) −3.94749 5.35018i −1.05501 1.42989i
\(15\) 0.809886 + 1.17035i 0.209112 + 0.302183i
\(16\) 3.93067 0.741506i 0.982668 0.185377i
\(17\) 0.884985 + 2.13654i 0.214640 + 0.518188i 0.994126 0.108233i \(-0.0345193\pi\)
−0.779485 + 0.626421i \(0.784519\pi\)
\(18\) −4.21356 0.495908i −0.993145 0.116887i
\(19\) 3.14341 0.309599i 0.721148 0.0710269i 0.269217 0.963080i \(-0.413235\pi\)
0.451931 + 0.892053i \(0.350735\pi\)
\(20\) −1.16781 + 1.15631i −0.261131 + 0.258560i
\(21\) −7.11811 + 3.95512i −1.55330 + 0.863079i
\(22\) 1.64290 0.583260i 0.350268 0.124351i
\(23\) 5.92437 1.17843i 1.23532 0.245720i 0.466115 0.884724i \(-0.345653\pi\)
0.769203 + 0.639004i \(0.220653\pi\)
\(24\) −0.283773 4.89075i −0.0579248 0.998321i
\(25\) −0.843724 + 4.24169i −0.168745 + 0.848338i
\(26\) 0.805774 + 0.600698i 0.158025 + 0.117806i
\(27\) −1.26365 + 5.04016i −0.243189 + 0.969979i
\(28\) −5.92909 7.29794i −1.12049 1.37918i
\(29\) 3.75930 + 1.14037i 0.698085 + 0.211762i 0.619328 0.785132i \(-0.287405\pi\)
0.0787564 + 0.996894i \(0.474905\pi\)
\(30\) 1.22123 + 1.59996i 0.222965 + 0.292111i
\(31\) −5.90175 + 5.90175i −1.05999 + 1.05999i −0.0619041 + 0.998082i \(0.519717\pi\)
−0.998082 + 0.0619041i \(0.980283\pi\)
\(32\) 5.50391 1.30653i 0.972962 0.230964i
\(33\) −0.450611 2.08709i −0.0784412 0.363315i
\(34\) 1.39099 + 2.95993i 0.238553 + 0.507623i
\(35\) 3.69688 + 1.12144i 0.624887 + 0.189557i
\(36\) −5.98508 0.422892i −0.997513 0.0704821i
\(37\) −4.73256 0.466116i −0.778027 0.0766290i −0.298795 0.954317i \(-0.596585\pi\)
−0.479232 + 0.877688i \(0.659085\pi\)
\(38\) 4.42022 0.644508i 0.717055 0.104553i
\(39\) 0.856097 0.884455i 0.137085 0.141626i
\(40\) −1.57354 + 1.71045i −0.248799 + 0.270447i
\(41\) 8.25119 1.64126i 1.28862 0.256322i 0.497221 0.867624i \(-0.334354\pi\)
0.791398 + 0.611302i \(0.209354\pi\)
\(42\) −9.79496 + 6.05638i −1.51140 + 0.934520i
\(43\) 0.894942 1.67432i 0.136477 0.255331i −0.804393 0.594097i \(-0.797509\pi\)
0.940871 + 0.338766i \(0.110009\pi\)
\(44\) 2.28245 0.932222i 0.344093 0.140538i
\(45\) 2.13505 1.23226i 0.318274 0.183695i
\(46\) 8.29157 2.05515i 1.22253 0.303015i
\(47\) −2.26955 5.47919i −0.331048 0.799221i −0.998510 0.0545769i \(-0.982619\pi\)
0.667461 0.744645i \(-0.267381\pi\)
\(48\) −0.723170 6.89036i −0.104381 0.994537i
\(49\) −5.77987 + 13.9538i −0.825695 + 1.99340i
\(50\) −0.912392 + 6.04774i −0.129032 + 0.855279i
\(51\) 3.81357 1.22502i 0.534007 0.171537i
\(52\) 1.17788 + 0.795493i 0.163343 + 0.110315i
\(53\) −6.24996 + 1.89590i −0.858498 + 0.260422i −0.688691 0.725055i \(-0.741814\pi\)
−0.169807 + 0.985477i \(0.554314\pi\)
\(54\) −1.45299 + 7.20339i −0.197727 + 0.980257i
\(55\) −0.562771 + 0.842247i −0.0758840 + 0.113569i
\(56\) −8.85681 9.91892i −1.18354 1.32547i
\(57\) −0.0891208 5.47016i −0.0118043 0.724541i
\(58\) 5.38583 + 1.36325i 0.707194 + 0.179003i
\(59\) −2.15331 + 1.76718i −0.280338 + 0.230067i −0.764046 0.645162i \(-0.776790\pi\)
0.483708 + 0.875230i \(0.339290\pi\)
\(60\) 1.83064 + 2.17974i 0.236335 + 0.281404i
\(61\) −6.77039 12.6665i −0.866859 1.62178i −0.780190 0.625542i \(-0.784878\pi\)
−0.0866689 0.996237i \(-0.527622\pi\)
\(62\) −7.94836 + 8.72619i −1.00944 + 1.10823i
\(63\) 5.81911 + 12.8479i 0.733138 + 1.61869i
\(64\) 7.68914 2.20841i 0.961143 0.276051i
\(65\) −0.583968 −0.0724323
\(66\) −0.774102 2.91868i −0.0952854 0.359265i
\(67\) −1.16632 + 0.623413i −0.142489 + 0.0761621i −0.541101 0.840958i \(-0.681992\pi\)
0.398611 + 0.917120i \(0.369492\pi\)
\(68\) 2.16008 + 4.08976i 0.261948 + 0.495956i
\(69\) −1.19496 10.3939i −0.143857 1.25128i
\(70\) 5.29640 + 1.34061i 0.633041 + 0.160234i
\(71\) 7.24752 + 10.8467i 0.860123 + 1.28726i 0.956444 + 0.291914i \(0.0942922\pi\)
−0.0963218 + 0.995350i \(0.530708\pi\)
\(72\) −8.48285 0.203006i −0.999714 0.0239245i
\(73\) 5.44394 + 3.63753i 0.637166 + 0.425740i 0.831754 0.555145i \(-0.187337\pi\)
−0.194588 + 0.980885i \(0.562337\pi\)
\(74\) −6.71629 0.346606i −0.780753 0.0402921i
\(75\) 7.20268 + 2.05739i 0.831693 + 0.237567i
\(76\) 6.20188 1.20177i 0.711404 0.137852i
\(77\) −4.48012 3.67674i −0.510557 0.419003i
\(78\) 1.15111 1.30586i 0.130337 0.147860i
\(79\) 7.26103 + 3.00762i 0.816929 + 0.338383i 0.751715 0.659488i \(-0.229227\pi\)
0.0652143 + 0.997871i \(0.479227\pi\)
\(80\) −2.11019 + 2.52001i −0.235927 + 0.281746i
\(81\) 8.52154 + 2.89540i 0.946838 + 0.321711i
\(82\) 11.5481 2.86231i 1.27528 0.316089i
\(83\) 3.62089 0.356626i 0.397444 0.0391448i 0.102679 0.994715i \(-0.467259\pi\)
0.294765 + 0.955570i \(0.404759\pi\)
\(84\) −13.4380 + 9.20118i −1.46621 + 1.00393i
\(85\) −1.67589 0.895782i −0.181776 0.0971612i
\(86\) 1.15393 2.42425i 0.124432 0.261413i
\(87\) 2.50114 6.32793i 0.268150 0.678425i
\(88\) 3.16294 1.46734i 0.337171 0.156419i
\(89\) −3.36579 + 16.9210i −0.356773 + 1.79362i 0.218695 + 0.975793i \(0.429820\pi\)
−0.575467 + 0.817825i \(0.695180\pi\)
\(90\) 2.93493 1.88148i 0.309369 0.198326i
\(91\) 0.327493 3.32509i 0.0343306 0.348564i
\(92\) 11.5779 3.44966i 1.20708 0.359652i
\(93\) 9.35179 + 11.0240i 0.969736 + 1.14313i
\(94\) −3.56721 7.59076i −0.367930 0.782928i
\(95\) −1.83528 + 1.83528i −0.188296 + 0.188296i
\(96\) −1.47567 9.68620i −0.150610 0.988593i
\(97\) 3.90793 + 3.90793i 0.396790 + 0.396790i 0.877099 0.480309i \(-0.159475\pi\)
−0.480309 + 0.877099i \(0.659475\pi\)
\(98\) −7.24556 + 20.0931i −0.731912 + 2.02971i
\(99\) −3.66666 + 0.482190i −0.368514 + 0.0484619i
\(100\) −0.890382 + 8.60363i −0.0890382 + 0.860363i
\(101\) −17.9640 1.76930i −1.78749 0.176052i −0.850629 0.525766i \(-0.823779\pi\)
−0.936857 + 0.349714i \(0.886279\pi\)
\(102\) 5.30662 1.98187i 0.525434 0.196234i
\(103\) −12.2210 2.43090i −1.20417 0.239524i −0.448080 0.893993i \(-0.647892\pi\)
−0.756089 + 0.654469i \(0.772892\pi\)
\(104\) 1.71639 + 1.04616i 0.168306 + 0.102584i
\(105\) 2.45961 6.22286i 0.240033 0.607289i
\(106\) −8.70424 + 3.09016i −0.845430 + 0.300143i
\(107\) 4.67947 8.75467i 0.452381 0.846346i −0.547573 0.836758i \(-0.684448\pi\)
0.999954 0.00958764i \(-0.00305189\pi\)
\(108\) −1.57792 + 10.2718i −0.151835 + 0.988406i
\(109\) −0.606669 6.15961i −0.0581083 0.589984i −0.979513 0.201380i \(-0.935457\pi\)
0.921405 0.388604i \(-0.127043\pi\)
\(110\) −0.739512 + 1.22691i −0.0705097 + 0.116981i
\(111\) −1.47509 + 8.10353i −0.140009 + 0.769153i
\(112\) −13.1655 13.4286i −1.24402 1.26888i
\(113\) 3.14008 7.58082i 0.295394 0.713144i −0.704600 0.709605i \(-0.748873\pi\)
0.999994 0.00353908i \(-0.00112653\pi\)
\(114\) −0.486372 7.72171i −0.0455529 0.723204i
\(115\) −3.14881 + 3.83684i −0.293628 + 0.357787i
\(116\) 7.69827 + 1.57091i 0.714767 + 0.145856i
\(117\) −1.40551 1.60314i −0.129939 0.148210i
\(118\) −2.92549 + 2.63835i −0.269313 + 0.242880i
\(119\) 6.04040 9.04010i 0.553723 0.828705i
\(120\) 2.72974 + 2.95864i 0.249190 + 0.270086i
\(121\) −7.88262 + 5.26700i −0.716601 + 0.478818i
\(122\) −10.3991 17.4475i −0.941487 1.57962i
\(123\) −1.66429 14.4761i −0.150064 1.30527i
\(124\) −10.6534 + 12.8511i −0.956706 + 1.15406i
\(125\) −3.61198 6.75754i −0.323065 0.604413i
\(126\) 9.06717 + 17.7665i 0.807768 + 1.58277i
\(127\) 2.39568i 0.212583i −0.994335 0.106291i \(-0.966102\pi\)
0.994335 0.106291i \(-0.0338976\pi\)
\(128\) 10.7168 3.62646i 0.947236 0.320537i
\(129\) −2.76350 1.78209i −0.243313 0.156904i
\(130\) −0.824958 + 0.0384823i −0.0723536 + 0.00337512i
\(131\) −15.8924 + 8.49468i −1.38853 + 0.742184i −0.984963 0.172767i \(-0.944729\pi\)
−0.403565 + 0.914951i \(0.632229\pi\)
\(132\) −1.28589 4.07215i −0.111923 0.354435i
\(133\) −9.42078 11.4792i −0.816885 0.995377i
\(134\) −1.60656 + 0.957540i −0.138786 + 0.0827189i
\(135\) −1.82472 3.86019i −0.157047 0.332233i
\(136\) 3.32100 + 5.63516i 0.284773 + 0.483211i
\(137\) 1.00437 + 0.671101i 0.0858094 + 0.0573360i 0.597735 0.801694i \(-0.296068\pi\)
−0.511925 + 0.859030i \(0.671068\pi\)
\(138\) −2.37304 14.6045i −0.202006 1.24321i
\(139\) 0.762236 + 2.51275i 0.0646520 + 0.213129i 0.983314 0.181915i \(-0.0582294\pi\)
−0.918662 + 0.395044i \(0.870729\pi\)
\(140\) 7.57045 + 1.54483i 0.639820 + 0.130562i
\(141\) −9.77996 + 3.14158i −0.823621 + 0.264569i
\(142\) 10.9532 + 14.8453i 0.919171 + 1.24579i
\(143\) 0.809389 + 0.335260i 0.0676845 + 0.0280359i
\(144\) −11.9969 + 0.272220i −0.999743 + 0.0226850i
\(145\) −2.98234 + 1.23533i −0.247670 + 0.102588i
\(146\) 7.93024 + 4.77991i 0.656312 + 0.395588i
\(147\) 23.2689 + 11.9543i 1.91919 + 0.985974i
\(148\) −9.51079 0.0470524i −0.781782 0.00386769i
\(149\) 9.38072 + 5.01410i 0.768499 + 0.410771i 0.808551 0.588426i \(-0.200252\pi\)
−0.0400520 + 0.999198i \(0.512752\pi\)
\(150\) 10.3106 + 2.43179i 0.841860 + 0.198555i
\(151\) −3.17629 15.9683i −0.258483 1.29948i −0.863937 0.503600i \(-0.832009\pi\)
0.605455 0.795880i \(-0.292991\pi\)
\(152\) 8.68206 2.10640i 0.704208 0.170851i
\(153\) −1.57442 6.75672i −0.127285 0.546249i
\(154\) −6.57125 4.89881i −0.529526 0.394757i
\(155\) 0.672230 6.82526i 0.0539948 0.548218i
\(156\) 1.54009 1.92062i 0.123306 0.153773i
\(157\) 1.61407 5.32087i 0.128817 0.424652i −0.868679 0.495375i \(-0.835031\pi\)
0.997496 + 0.0707232i \(0.0225307\pi\)
\(158\) 10.4557 + 3.77030i 0.831810 + 0.299949i
\(159\) 2.38737 + 11.0576i 0.189331 + 0.876922i
\(160\) −2.81496 + 3.69902i −0.222542 + 0.292433i
\(161\) −20.0810 20.0810i −1.58260 1.58260i
\(162\) 12.2290 + 3.52872i 0.960800 + 0.277242i
\(163\) 5.39192 17.7748i 0.422328 1.39223i −0.445463 0.895300i \(-0.646961\pi\)
0.867791 0.496929i \(-0.165539\pi\)
\(164\) 16.1251 4.80452i 1.25916 0.375170i
\(165\) 1.37420 + 1.09080i 0.106981 + 0.0849189i
\(166\) 5.09164 0.742407i 0.395188 0.0576219i
\(167\) −0.168668 0.0335502i −0.0130519 0.00259619i 0.188560 0.982062i \(-0.439618\pi\)
−0.201612 + 0.979465i \(0.564618\pi\)
\(168\) −18.3773 + 13.8838i −1.41784 + 1.07116i
\(169\) −2.43764 12.2549i −0.187511 0.942681i
\(170\) −2.42652 1.15501i −0.186106 0.0885855i
\(171\) −9.45548 0.621108i −0.723079 0.0474973i
\(172\) 1.47038 3.50072i 0.112115 0.266928i
\(173\) 1.37406 + 13.9511i 0.104468 + 1.06068i 0.894333 + 0.447402i \(0.147651\pi\)
−0.789865 + 0.613281i \(0.789849\pi\)
\(174\) 3.11631 9.10414i 0.236246 0.690183i
\(175\) 18.7850 7.78100i 1.42001 0.588188i
\(176\) 4.37152 2.28131i 0.329516 0.171960i
\(177\) 2.74553 + 3.96751i 0.206367 + 0.298216i
\(178\) −3.63972 + 24.1257i −0.272808 + 1.80829i
\(179\) 6.40464 7.80408i 0.478705 0.583304i −0.476527 0.879160i \(-0.658105\pi\)
0.955233 + 0.295855i \(0.0956047\pi\)
\(180\) 4.02212 2.85134i 0.299791 0.212526i
\(181\) −1.09628 3.61394i −0.0814856 0.268622i 0.906725 0.421722i \(-0.138574\pi\)
−0.988211 + 0.153100i \(0.951074\pi\)
\(182\) 0.243525 4.71886i 0.0180513 0.349785i
\(183\) −22.8247 + 9.89291i −1.68725 + 0.731305i
\(184\) 16.1285 5.63621i 1.18901 0.415507i
\(185\) 3.24906 2.17095i 0.238876 0.159612i
\(186\) 13.9375 + 14.9571i 1.02195 + 1.09671i
\(187\) 1.80854 + 2.20371i 0.132253 + 0.161151i
\(188\) −5.53954 10.4882i −0.404012 0.764933i
\(189\) 23.0031 8.22506i 1.67323 0.598285i
\(190\) −2.47172 + 2.71360i −0.179317 + 0.196865i
\(191\) 16.8512i 1.21931i 0.792667 + 0.609655i \(0.208692\pi\)
−0.792667 + 0.609655i \(0.791308\pi\)
\(192\) −2.72294 13.5862i −0.196511 0.980502i
\(193\) 4.73249i 0.340652i −0.985388 0.170326i \(-0.945518\pi\)
0.985388 0.170326i \(-0.0544821\pi\)
\(194\) 5.77817 + 5.26312i 0.414849 + 0.377870i
\(195\) −0.0827301 + 1.00807i −0.00592442 + 0.0721896i
\(196\) −8.91154 + 28.8626i −0.636538 + 2.06161i
\(197\) 11.2267 + 13.6798i 0.799870 + 0.974645i 0.999987 0.00512719i \(-0.00163204\pi\)
−0.200116 + 0.979772i \(0.564132\pi\)
\(198\) −5.14804 + 0.922805i −0.365855 + 0.0655809i
\(199\) −14.2309 + 9.50877i −1.00880 + 0.674059i −0.946067 0.323972i \(-0.894982\pi\)
−0.0627333 + 0.998030i \(0.519982\pi\)
\(200\) −0.690861 + 12.2128i −0.0488512 + 0.863577i
\(201\) 0.910934 + 2.10168i 0.0642523 + 0.148241i
\(202\) −25.4939 1.31566i −1.79375 0.0925695i
\(203\) −5.36139 17.6741i −0.376295 1.24048i
\(204\) 7.36595 3.14943i 0.515720 0.220504i
\(205\) −4.38552 + 5.34377i −0.306298 + 0.373225i
\(206\) −17.4245 2.62875i −1.21402 0.183153i
\(207\) −18.1117 + 0.590314i −1.25885 + 0.0410297i
\(208\) 2.49364 + 1.36477i 0.172903 + 0.0946300i
\(209\) 3.59738 1.49008i 0.248836 0.103071i
\(210\) 3.06456 8.95297i 0.211475 0.617814i
\(211\) 1.41854 + 14.4026i 0.0976560 + 0.991518i 0.911739 + 0.410770i \(0.134740\pi\)
−0.814083 + 0.580748i \(0.802760\pi\)
\(212\) −12.0926 + 4.93899i −0.830526 + 0.339211i
\(213\) 19.7508 10.9744i 1.35330 0.751952i
\(214\) 6.03366 12.6759i 0.412453 0.866506i
\(215\) 0.304343 + 1.53004i 0.0207561 + 0.104348i
\(216\) −1.55220 + 14.6147i −0.105614 + 0.994407i
\(217\) 38.4858 + 7.65530i 2.61259 + 0.519676i
\(218\) −1.26293 8.66157i −0.0855366 0.586635i
\(219\) 7.05051 8.88227i 0.476429 0.600208i
\(220\) −0.963841 + 1.78196i −0.0649821 + 0.120140i
\(221\) −0.477078 + 1.57271i −0.0320917 + 0.105792i
\(222\) −1.54982 + 11.5449i −0.104017 + 0.774841i
\(223\) −12.3548 12.3548i −0.827335 0.827335i 0.159812 0.987147i \(-0.448911\pi\)
−0.987147 + 0.159812i \(0.948911\pi\)
\(224\) −19.4835 18.1027i −1.30179 1.20954i
\(225\) 4.57196 12.1421i 0.304798 0.809475i
\(226\) 3.93636 10.9162i 0.261843 0.726134i
\(227\) 7.25973 23.9321i 0.481845 1.58843i −0.292891 0.956146i \(-0.594617\pi\)
0.774736 0.632285i \(-0.217883\pi\)
\(228\) −1.19593 10.8762i −0.0792025 0.720296i
\(229\) −1.36557 + 13.8649i −0.0902397 + 0.916219i 0.838355 + 0.545124i \(0.183517\pi\)
−0.928595 + 0.371095i \(0.878983\pi\)
\(230\) −4.19542 + 5.62772i −0.276638 + 0.371081i
\(231\) −6.98165 + 7.21291i −0.459359 + 0.474575i
\(232\) 10.9787 + 1.71189i 0.720787 + 0.112391i
\(233\) 5.07522 + 25.5149i 0.332489 + 1.67153i 0.679502 + 0.733673i \(0.262196\pi\)
−0.347014 + 0.937860i \(0.612804\pi\)
\(234\) −2.09117 2.17209i −0.136704 0.141994i
\(235\) 4.29784 + 2.29724i 0.280360 + 0.149856i
\(236\) −3.95891 + 3.91993i −0.257703 + 0.255165i
\(237\) 6.22055 12.1082i 0.404068 0.786515i
\(238\) 7.93741 13.1688i 0.514506 0.853606i
\(239\) −9.88076 + 4.09275i −0.639134 + 0.264738i −0.678628 0.734482i \(-0.737425\pi\)
0.0394946 + 0.999220i \(0.487425\pi\)
\(240\) 4.05122 + 3.99972i 0.261505 + 0.258181i
\(241\) −12.2182 5.06096i −0.787046 0.326005i −0.0472907 0.998881i \(-0.515059\pi\)
−0.739755 + 0.672876i \(0.765059\pi\)
\(242\) −10.7885 + 7.96001i −0.693512 + 0.511689i
\(243\) 6.20542 14.3001i 0.398078 0.917352i
\(244\) −15.8403 23.9624i −1.01407 1.53404i
\(245\) −3.60265 11.8763i −0.230165 0.758752i
\(246\) −3.30505 20.3404i −0.210722 1.29686i
\(247\) 1.86643 + 1.24711i 0.118758 + 0.0793518i
\(248\) −14.2030 + 18.8565i −0.901892 + 1.19739i
\(249\) −0.102658 6.30107i −0.00650569 0.399314i
\(250\) −5.54787 9.30820i −0.350878 0.588702i
\(251\) −14.0228 17.0868i −0.885111 1.07851i −0.996405 0.0847230i \(-0.972999\pi\)
0.111294 0.993788i \(-0.464501\pi\)
\(252\) 13.9798 + 24.5009i 0.880643 + 1.54341i
\(253\) 6.56707 3.51017i 0.412868 0.220683i
\(254\) −0.157871 3.38433i −0.00990569 0.212352i
\(255\) −1.78376 + 2.76610i −0.111704 + 0.173220i
\(256\) 14.9003 5.82923i 0.931271 0.364327i
\(257\) 7.14475i 0.445677i −0.974855 0.222838i \(-0.928468\pi\)
0.974855 0.222838i \(-0.0715323\pi\)
\(258\) −4.02138 2.33541i −0.250360 0.145396i
\(259\) 10.5392 + 19.7175i 0.654877 + 1.22519i
\(260\) −1.16286 + 0.108726i −0.0721177 + 0.00674291i
\(261\) −10.5692 5.21406i −0.654219 0.322742i
\(262\) −21.8911 + 13.0475i −1.35244 + 0.806079i
\(263\) 3.61368 2.41458i 0.222829 0.148890i −0.439145 0.898416i \(-0.644719\pi\)
0.661974 + 0.749526i \(0.269719\pi\)
\(264\) −2.08490 5.66789i −0.128317 0.348835i
\(265\) 2.98161 4.46230i 0.183159 0.274117i
\(266\) −14.0650 15.5957i −0.862379 0.956232i
\(267\) 28.7329 + 8.20736i 1.75843 + 0.502282i
\(268\) −2.20645 + 1.45856i −0.134780 + 0.0890960i
\(269\) 1.31494 1.60226i 0.0801733 0.0976914i −0.731379 0.681971i \(-0.761123\pi\)
0.811552 + 0.584280i \(0.198623\pi\)
\(270\) −2.83212 5.33296i −0.172357 0.324554i
\(271\) −2.17856 + 5.25951i −0.132338 + 0.319493i −0.976133 0.217173i \(-0.930316\pi\)
0.843795 + 0.536666i \(0.180316\pi\)
\(272\) 5.06284 + 7.74182i 0.306980 + 0.469417i
\(273\) −5.69353 1.03640i −0.344588 0.0627255i
\(274\) 1.46308 + 0.881863i 0.0883879 + 0.0532753i
\(275\) 0.522565 + 5.30569i 0.0315118 + 0.319945i
\(276\) −4.31474 20.4750i −0.259717 1.23245i
\(277\) −1.97231 + 3.68993i −0.118504 + 0.221706i −0.934179 0.356805i \(-0.883866\pi\)
0.815674 + 0.578511i \(0.196366\pi\)
\(278\) 1.24238 + 3.49948i 0.0745129 + 0.209885i
\(279\) 20.3550 14.5817i 1.21862 0.872987i
\(280\) 10.7964 + 1.68347i 0.645208 + 0.100606i
\(281\) −0.865804 0.172219i −0.0516495 0.0102737i 0.169198 0.985582i \(-0.445882\pi\)
−0.220847 + 0.975308i \(0.570882\pi\)
\(282\) −13.6089 + 5.08252i −0.810398 + 0.302660i
\(283\) −10.4447 1.02871i −0.620870 0.0611504i −0.217309 0.976103i \(-0.569728\pi\)
−0.403561 + 0.914953i \(0.632228\pi\)
\(284\) 16.4516 + 20.2498i 0.976222 + 1.20160i
\(285\) 2.90814 + 3.42815i 0.172264 + 0.203066i
\(286\) 1.16550 + 0.420277i 0.0689174 + 0.0248515i
\(287\) −27.9678 27.9678i −1.65089 1.65089i
\(288\) −16.9298 + 1.17513i −0.997600 + 0.0692453i
\(289\) 8.23920 8.23920i 0.484659 0.484659i
\(290\) −4.13168 + 1.94165i −0.242621 + 0.114017i
\(291\) 7.29969 6.19242i 0.427915 0.363006i
\(292\) 11.5179 + 6.22988i 0.674032 + 0.364576i
\(293\) −2.44199 + 24.7939i −0.142663 + 1.44848i 0.611216 + 0.791464i \(0.290681\pi\)
−0.753879 + 0.657014i \(0.771819\pi\)
\(294\) 33.6593 + 15.3542i 1.96305 + 0.895475i
\(295\) 0.446558 2.24500i 0.0259996 0.130709i
\(296\) −13.4388 + 0.560272i −0.781113 + 0.0325651i
\(297\) 0.312927 + 6.39788i 0.0181579 + 0.371243i
\(298\) 13.5824 + 6.46514i 0.786805 + 0.374515i
\(299\) 3.78589 + 2.02360i 0.218943 + 0.117028i
\(300\) 14.7259 + 2.75589i 0.850197 + 0.159111i
\(301\) −8.88266 + 0.874865i −0.511988 + 0.0504264i
\(302\) −5.53934 22.3487i −0.318753 1.28602i
\(303\) −5.59919 + 30.7597i −0.321665 + 1.76710i
\(304\) 12.1261 3.54779i 0.695482 0.203480i
\(305\) 10.9034 + 4.51634i 0.624327 + 0.258605i
\(306\) −2.66941 9.44132i −0.152600 0.539724i
\(307\) −11.9666 9.82071i −0.682968 0.560498i 0.227651 0.973743i \(-0.426895\pi\)
−0.910620 + 0.413245i \(0.864395\pi\)
\(308\) −9.60587 6.48741i −0.547345 0.369654i
\(309\) −5.92767 + 20.7520i −0.337214 + 1.18054i
\(310\) 0.499873 9.68620i 0.0283909 0.550139i
\(311\) −7.03697 4.70195i −0.399030 0.266623i 0.339824 0.940489i \(-0.389633\pi\)
−0.738854 + 0.673866i \(0.764633\pi\)
\(312\) 2.04908 2.81471i 0.116006 0.159351i
\(313\) 8.21570 + 12.2957i 0.464379 + 0.694992i 0.987562 0.157228i \(-0.0502557\pi\)
−0.523183 + 0.852220i \(0.675256\pi\)
\(314\) 1.92952 7.62304i 0.108889 0.430193i
\(315\) −10.3937 5.12748i −0.585621 0.288901i
\(316\) 15.0190 + 4.63722i 0.844883 + 0.260864i
\(317\) 6.15693 3.29095i 0.345808 0.184838i −0.289345 0.957225i \(-0.593437\pi\)
0.635152 + 0.772387i \(0.280937\pi\)
\(318\) 4.10126 + 15.4634i 0.229987 + 0.867147i
\(319\) 4.84279 0.271144
\(320\) −3.73287 + 5.41103i −0.208674 + 0.302486i
\(321\) −14.4498 9.31818i −0.806508 0.520090i
\(322\) −29.6912 27.0446i −1.65463 1.50714i
\(323\) 3.44334 + 6.44204i 0.191593 + 0.358445i
\(324\) 17.5082 + 4.17907i 0.972675 + 0.232171i
\(325\) −2.37585 + 1.94981i −0.131789 + 0.108156i
\(326\) 6.44573 25.4654i 0.356996 1.41040i
\(327\) −10.7190 + 0.174635i −0.592760 + 0.00965734i
\(328\) 22.4630 7.84985i 1.24031 0.433435i
\(329\) −15.4907 + 23.1834i −0.854029 + 1.27814i
\(330\) 2.01318 + 1.45040i 0.110822 + 0.0798416i
\(331\) −32.9584 + 9.99783i −1.81156 + 0.549530i −0.999424 0.0339403i \(-0.989194\pi\)
−0.812134 + 0.583470i \(0.801694\pi\)
\(332\) 7.14393 1.38431i 0.392074 0.0759739i
\(333\) 13.7797 + 3.69438i 0.755124 + 0.202451i
\(334\) −0.240485 0.0362807i −0.0131587 0.00198519i
\(335\) 0.415862 1.00398i 0.0227210 0.0548532i
\(336\) −25.0462 + 20.8244i −1.36638 + 1.13606i
\(337\) 3.16601 + 7.64341i 0.172463 + 0.416363i 0.986350 0.164660i \(-0.0526526\pi\)
−0.813887 + 0.581023i \(0.802653\pi\)
\(338\) −4.25117 17.1515i −0.231233 0.932920i
\(339\) −12.6415 6.49452i −0.686593 0.352734i
\(340\) −3.50401 1.47176i −0.190031 0.0798173i
\(341\) −4.85016 + 9.07400i −0.262651 + 0.491385i
\(342\) −13.3985 0.254328i −0.724507 0.0137525i
\(343\) 37.3661 7.43259i 2.01758 0.401322i
\(344\) 1.84648 5.04229i 0.0995555 0.271862i
\(345\) 6.17725 + 5.97919i 0.332572 + 0.321909i
\(346\) 2.86046 + 19.6179i 0.153779 + 1.05466i
\(347\) −31.4344 3.09602i −1.68749 0.166203i −0.791767 0.610824i \(-0.790838\pi\)
−0.895719 + 0.444621i \(0.853338\pi\)
\(348\) 3.80239 13.0666i 0.203829 0.700442i
\(349\) 19.7415 + 5.98851i 1.05674 + 0.320557i 0.770393 0.637570i \(-0.220060\pi\)
0.286343 + 0.958127i \(0.407560\pi\)
\(350\) 26.0244 12.2299i 1.39106 0.653717i
\(351\) −2.96653 + 2.19914i −0.158341 + 0.117381i
\(352\) 6.02522 3.51082i 0.321145 0.187128i
\(353\) 0.726175 0.726175i 0.0386504 0.0386504i −0.687517 0.726168i \(-0.741300\pi\)
0.726168 + 0.687517i \(0.241300\pi\)
\(354\) 4.14000 + 5.42388i 0.220039 + 0.288276i
\(355\) −10.2578 3.11168i −0.544429 0.165151i
\(356\) −3.55191 + 34.3216i −0.188251 + 1.81904i
\(357\) −14.7497 11.7079i −0.780637 0.619649i
\(358\) 8.53342 11.4467i 0.451005 0.604977i
\(359\) 0.320346 1.61049i 0.0169072 0.0849983i −0.971410 0.237406i \(-0.923703\pi\)
0.988318 + 0.152408i \(0.0487028\pi\)
\(360\) 5.49407 4.29307i 0.289563 0.226265i
\(361\) −8.84974 + 1.76032i −0.465776 + 0.0926486i
\(362\) −1.78684 5.03309i −0.0939141 0.264533i
\(363\) 7.97541 + 14.3535i 0.418601 + 0.753364i
\(364\) 0.0330590 6.68228i 0.00173276 0.350246i
\(365\) −5.35415 + 0.527338i −0.280249 + 0.0276021i
\(366\) −31.5920 + 15.4796i −1.65134 + 0.809131i
\(367\) 12.1039 + 29.2213i 0.631817 + 1.52534i 0.837337 + 0.546688i \(0.184111\pi\)
−0.205520 + 0.978653i \(0.565889\pi\)
\(368\) 22.4129 9.02499i 1.16836 0.470460i
\(369\) −25.2251 + 0.822161i −1.31317 + 0.0428000i
\(370\) 4.44682 3.28097i 0.231179 0.170569i
\(371\) 23.7360 + 19.4797i 1.23231 + 1.01133i
\(372\) 20.6749 + 20.2111i 1.07194 + 1.04789i
\(373\) 11.3199 3.43385i 0.586122 0.177798i 0.0167237 0.999860i \(-0.494676\pi\)
0.569398 + 0.822062i \(0.307176\pi\)
\(374\) 2.70010 + 2.99395i 0.139619 + 0.154814i
\(375\) −12.1769 + 5.27784i −0.628812 + 0.272546i
\(376\) −8.51673 14.4514i −0.439217 0.745276i
\(377\) 1.55107 + 2.32133i 0.0798840 + 0.119555i
\(378\) 31.9540 13.1352i 1.64353 0.675603i
\(379\) 14.6714 12.0405i 0.753619 0.618479i −0.177109 0.984191i \(-0.556674\pi\)
0.930728 + 0.365712i \(0.119174\pi\)
\(380\) −3.31292 + 3.99632i −0.169949 + 0.205007i
\(381\) −4.13554 0.339394i −0.211870 0.0173877i
\(382\) 1.11046 + 23.8053i 0.0568161 + 1.21799i
\(383\) 5.29986 0.270810 0.135405 0.990790i \(-0.456766\pi\)
0.135405 + 0.990790i \(0.456766\pi\)
\(384\) −4.74194 19.0135i −0.241986 0.970280i
\(385\) 4.76237 0.242713
\(386\) −0.311861 6.68548i −0.0158733 0.340282i
\(387\) −3.46783 + 4.51802i −0.176280 + 0.229664i
\(388\) 8.50952 + 7.05432i 0.432006 + 0.358129i
\(389\) 5.44217 4.46627i 0.275929 0.226449i −0.486243 0.873824i \(-0.661633\pi\)
0.762172 + 0.647375i \(0.224133\pi\)
\(390\) −0.0504410 + 1.42953i −0.00255418 + 0.0723872i
\(391\) 7.76075 + 11.6148i 0.392478 + 0.587385i
\(392\) −10.6871 + 41.3608i −0.539782 + 2.08904i
\(393\) 12.4125 + 28.6377i 0.626126 + 1.44458i
\(394\) 16.7612 + 18.5853i 0.844417 + 0.936315i
\(395\) −6.17998 + 1.87468i −0.310949 + 0.0943253i
\(396\) −7.21171 + 1.64287i −0.362402 + 0.0825574i
\(397\) −26.5702 21.8056i −1.33352 1.09439i −0.987745 0.156076i \(-0.950115\pi\)
−0.345777 0.938317i \(-0.612385\pi\)
\(398\) −19.4770 + 14.3706i −0.976295 + 0.720333i
\(399\) −21.1507 + 14.6363i −1.05886 + 0.732733i
\(400\) −0.171163 + 17.2983i −0.00855814 + 0.864915i
\(401\) 13.9904 + 33.7759i 0.698650 + 1.68669i 0.726582 + 0.687079i \(0.241108\pi\)
−0.0279328 + 0.999610i \(0.508892\pi\)
\(402\) 1.42535 + 2.90897i 0.0710901 + 0.145086i
\(403\) −5.90295 + 0.581389i −0.294047 + 0.0289611i
\(404\) −36.1014 0.178603i −1.79611 0.00888585i
\(405\) −6.92216 + 2.60305i −0.343965 + 0.129346i
\(406\) −8.73860 24.6145i −0.433689 1.22160i
\(407\) −5.74962 + 1.14367i −0.284998 + 0.0566896i
\(408\) 10.1982 4.93453i 0.504885 0.244296i
\(409\) −6.47578 + 32.5559i −0.320206 + 1.60979i 0.400331 + 0.916371i \(0.368895\pi\)
−0.720537 + 0.693416i \(0.756105\pi\)
\(410\) −5.84318 + 7.83802i −0.288574 + 0.387092i
\(411\) 1.30077 1.63872i 0.0641625 0.0808322i
\(412\) −24.7884 2.56533i −1.22124 0.126385i
\(413\) 12.5325 + 3.80169i 0.616684 + 0.187069i
\(414\) −25.5471 + 2.02745i −1.25557 + 0.0996436i
\(415\) −2.11405 + 2.11405i −0.103775 + 0.103775i
\(416\) 3.61265 + 1.76366i 0.177125 + 0.0864704i
\(417\) 4.44562 0.959828i 0.217703 0.0470030i
\(418\) 4.98374 2.34207i 0.243763 0.114554i
\(419\) 13.1129 + 3.97775i 0.640607 + 0.194326i 0.593844 0.804580i \(-0.297610\pi\)
0.0467627 + 0.998906i \(0.485110\pi\)
\(420\) 3.73925 12.8496i 0.182457 0.626997i
\(421\) 18.4921 + 1.82131i 0.901250 + 0.0887654i 0.538018 0.842933i \(-0.319173\pi\)
0.363232 + 0.931699i \(0.381673\pi\)
\(422\) 2.95304 + 20.2528i 0.143752 + 0.985891i
\(423\) 4.03763 + 17.3277i 0.196316 + 0.842501i
\(424\) −16.7575 + 7.77408i −0.813818 + 0.377543i
\(425\) −9.80923 + 1.95118i −0.475818 + 0.0946460i
\(426\) 27.1783 16.8048i 1.31679 0.814195i
\(427\) −31.8306 + 59.5508i −1.54039 + 2.88186i
\(428\) 7.68830 18.3045i 0.371628 0.884784i
\(429\) 0.693407 1.34971i 0.0334780 0.0651646i
\(430\) 0.530765 + 2.14139i 0.0255958 + 0.103267i
\(431\) −9.21689 22.2515i −0.443962 1.07182i −0.974546 0.224187i \(-0.928027\pi\)
0.530584 0.847632i \(-0.321973\pi\)
\(432\) −1.22967 + 20.7482i −0.0591625 + 0.998248i
\(433\) 3.92659 9.47963i 0.188700 0.455562i −0.801010 0.598651i \(-0.795704\pi\)
0.989710 + 0.143089i \(0.0457036\pi\)
\(434\) 54.8725 + 8.27834i 2.63396 + 0.397373i
\(435\) 1.70997 + 5.32327i 0.0819869 + 0.255231i
\(436\) −2.35490 12.1528i −0.112779 0.582012i
\(437\) 18.2579 5.53847i 0.873394 0.264941i
\(438\) 9.37477 13.0124i 0.447944 0.621756i
\(439\) 13.9327 20.8517i 0.664971 0.995199i −0.333650 0.942697i \(-0.608280\pi\)
0.998621 0.0525023i \(-0.0167197\pi\)
\(440\) −1.24417 + 2.58085i −0.0593134 + 0.123037i
\(441\) 23.9326 38.4744i 1.13965 1.83211i
\(442\) −0.570318 + 2.25318i −0.0271273 + 0.107173i
\(443\) −11.9657 + 9.82003i −0.568509 + 0.466564i −0.874199 0.485568i \(-0.838613\pi\)
0.305690 + 0.952131i \(0.401113\pi\)
\(444\) −1.42861 + 16.4113i −0.0677987 + 0.778847i
\(445\) −6.68278 12.5026i −0.316794 0.592680i
\(446\) −18.2674 16.6391i −0.864988 0.787885i
\(447\) 9.98454 15.4831i 0.472252 0.732326i
\(448\) −28.7168 24.2893i −1.35674 1.14756i
\(449\) 34.4835 1.62738 0.813689 0.581300i \(-0.197456\pi\)
0.813689 + 0.581300i \(0.197456\pi\)
\(450\) 5.65857 17.4542i 0.266747 0.822799i
\(451\) 9.14630 4.88880i 0.430682 0.230205i
\(452\) 4.84145 15.6804i 0.227723 0.737546i
\(453\) −28.0152 + 3.22085i −1.31627 + 0.151329i
\(454\) 8.67858 34.2868i 0.407306 1.60916i
\(455\) 1.52531 + 2.28279i 0.0715077 + 0.107019i
\(456\) −2.40619 15.2858i −0.112680 0.715823i
\(457\) −1.41415 0.944902i −0.0661509 0.0442006i 0.522055 0.852912i \(-0.325166\pi\)
−0.588206 + 0.808711i \(0.700166\pi\)
\(458\) −1.01545 + 19.6766i −0.0474487 + 0.919428i
\(459\) −11.8868 + 1.76063i −0.554829 + 0.0821791i
\(460\) −5.55592 + 8.22662i −0.259046 + 0.383568i
\(461\) 18.8947 + 15.5065i 0.880015 + 0.722210i 0.961600 0.274456i \(-0.0884979\pi\)
−0.0815841 + 0.996666i \(0.525998\pi\)
\(462\) −9.38750 + 10.6496i −0.436746 + 0.495464i
\(463\) 6.67477 + 2.76478i 0.310203 + 0.128490i 0.532354 0.846522i \(-0.321308\pi\)
−0.222151 + 0.975012i \(0.571308\pi\)
\(464\) 15.6222 + 1.69488i 0.725241 + 0.0786828i
\(465\) −11.6869 2.12736i −0.541965 0.0986541i
\(466\) 8.85102 + 35.7098i 0.410016 + 1.65422i
\(467\) 3.12414 0.307701i 0.144568 0.0142387i −0.0254744 0.999675i \(-0.508110\pi\)
0.170042 + 0.985437i \(0.445610\pi\)
\(468\) −3.09728 2.93066i −0.143172 0.135470i
\(469\) 5.48340 + 2.93094i 0.253200 + 0.135338i
\(470\) 6.22285 + 2.96205i 0.287038 + 0.136629i
\(471\) −8.95648 3.54008i −0.412693 0.163118i
\(472\) −5.33434 + 5.79848i −0.245533 + 0.266896i
\(473\) 0.456580 2.29539i 0.0209936 0.105542i
\(474\) 7.98972 17.5150i 0.366980 0.804489i
\(475\) −1.33895 + 13.5946i −0.0614352 + 0.623762i
\(476\) 10.3452 19.1263i 0.474172 0.876653i
\(477\) 19.4263 2.55469i 0.889469 0.116971i
\(478\) −13.6886 + 6.43285i −0.626103 + 0.294232i
\(479\) 0.0766760 0.0766760i 0.00350342 0.00350342i −0.705353 0.708856i \(-0.749211\pi\)
0.708856 + 0.705353i \(0.249211\pi\)
\(480\) 5.98664 + 5.38335i 0.273251 + 0.245715i
\(481\) −2.38972 2.38972i −0.108962 0.108962i
\(482\) −17.5939 6.34435i −0.801382 0.288977i
\(483\) −37.5095 + 31.8198i −1.70674 + 1.44785i
\(484\) −14.7161 + 11.9559i −0.668915 + 0.543449i
\(485\) −4.51945 0.445127i −0.205218 0.0202122i
\(486\) 7.82390 20.6104i 0.354899 0.934904i
\(487\) 8.09426 + 1.61005i 0.366786 + 0.0729582i 0.375042 0.927008i \(-0.377628\pi\)
−0.00825653 + 0.999966i \(0.502628\pi\)
\(488\) −23.9563 32.8074i −1.08445 1.48512i
\(489\) −29.9198 11.8259i −1.35302 0.534787i
\(490\) −5.87201 16.5400i −0.265270 0.747203i
\(491\) −13.8066 + 25.8304i −0.623085 + 1.16571i 0.350323 + 0.936629i \(0.386072\pi\)
−0.973407 + 0.229081i \(0.926428\pi\)
\(492\) −6.00936 28.5166i −0.270923 1.28563i
\(493\) 0.890472 + 9.04112i 0.0401048 + 0.407191i
\(494\) 2.71885 + 1.63877i 0.122327 + 0.0737319i
\(495\) 2.07768 2.21767i 0.0933846 0.0996770i
\(496\) −18.8217 + 27.5740i −0.845117 + 1.23811i
\(497\) 23.4704 56.6626i 1.05279 2.54167i
\(498\) −0.560250 8.89461i −0.0251054 0.398577i
\(499\) 5.23033 6.37318i 0.234142 0.285303i −0.642663 0.766149i \(-0.722170\pi\)
0.876805 + 0.480846i \(0.159670\pi\)
\(500\) −8.45074 12.7839i −0.377929 0.571713i
\(501\) −0.0818110 + 0.286410i −0.00365505 + 0.0127959i
\(502\) −20.9357 23.2141i −0.934405 1.03610i
\(503\) 14.9368 22.3545i 0.665998 0.996736i −0.332562 0.943081i \(-0.607913\pi\)
0.998560 0.0536546i \(-0.0170870\pi\)
\(504\) 21.3635 + 33.6906i 0.951604 + 1.50070i
\(505\) 12.3329 8.24059i 0.548808 0.366701i
\(506\) 9.04584 5.39150i 0.402136 0.239681i
\(507\) −21.5003 + 2.47184i −0.954860 + 0.109778i
\(508\) −0.446041 4.77056i −0.0197899 0.211659i
\(509\) −11.3003 21.1414i −0.500877 0.937075i −0.997605 0.0691686i \(-0.977965\pi\)
0.496728 0.867906i \(-0.334535\pi\)
\(510\) −2.33760 + 4.02515i −0.103511 + 0.178237i
\(511\) 30.7821i 1.36172i
\(512\) 20.6652 9.21673i 0.913283 0.407326i
\(513\) −2.41173 + 16.2345i −0.106481 + 0.716771i
\(514\) −0.470824 10.0932i −0.0207672 0.445193i
\(515\) 9.02987 4.82657i 0.397904 0.212684i
\(516\) −5.83481 3.03418i −0.256863 0.133572i
\(517\) −4.63802 5.65144i −0.203980 0.248550i
\(518\) 16.1879 + 27.1600i 0.711255 + 1.19334i
\(519\) 24.2777 0.395536i 1.06567 0.0173621i
\(520\) −1.63559 + 0.230225i −0.0717252 + 0.0100960i
\(521\) −8.00535 5.34901i −0.350721 0.234344i 0.367713 0.929939i \(-0.380141\pi\)
−0.718434 + 0.695595i \(0.755141\pi\)
\(522\) −15.2745 6.66929i −0.668547 0.291907i
\(523\) −3.52551 11.6220i −0.154160 0.508196i 0.845508 0.533962i \(-0.179298\pi\)
−0.999668 + 0.0257659i \(0.991798\pi\)
\(524\) −30.0652 + 19.8745i −1.31341 + 0.868222i
\(525\) −10.7707 33.5299i −0.470071 1.46336i
\(526\) 4.94585 3.64916i 0.215649 0.159111i
\(527\) −17.8323 7.38638i −0.776787 0.321756i
\(528\) −3.31879 7.86952i −0.144432 0.342477i
\(529\) 12.4603 5.16122i 0.541752 0.224401i
\(530\) 3.91800 6.50027i 0.170187 0.282353i
\(531\) 7.23786 4.17739i 0.314096 0.181283i
\(532\) −20.8970 21.1048i −0.906000 0.915009i
\(533\) 5.27280 + 2.81837i 0.228390 + 0.122077i
\(534\) 41.1312 + 9.70090i 1.77992 + 0.419799i
\(535\) 1.59135 + 8.00025i 0.0688000 + 0.345881i
\(536\) −3.02088 + 2.20588i −0.130482 + 0.0952796i
\(537\) −12.5644 12.1616i −0.542195 0.524811i
\(538\) 1.75200 2.35013i 0.0755341 0.101321i
\(539\) −1.82496 + 18.5291i −0.0786066 + 0.798106i
\(540\) −4.35230 7.34713i −0.187293 0.316170i
\(541\) 5.83238 19.2268i 0.250754 0.826624i −0.737704 0.675125i \(-0.764090\pi\)
0.988457 0.151500i \(-0.0484102\pi\)
\(542\) −2.73101 + 7.57356i −0.117307 + 0.325312i
\(543\) −6.39387 + 1.38046i −0.274387 + 0.0592413i
\(544\) 7.66233 + 10.6031i 0.328520 + 0.454603i
\(545\) 3.59629 + 3.59629i 0.154048 + 0.154048i
\(546\) −8.11142 1.08890i −0.347137 0.0466006i
\(547\) −2.82135 + 9.30074i −0.120632 + 0.397671i −0.996371 0.0851138i \(-0.972875\pi\)
0.875739 + 0.482785i \(0.160375\pi\)
\(548\) 2.12497 + 1.14937i 0.0907743 + 0.0490988i
\(549\) 13.8441 + 40.8025i 0.590850 + 1.74141i
\(550\) 1.08785 + 7.46079i 0.0463861 + 0.318129i
\(551\) 12.1701 + 2.42078i 0.518463 + 0.103129i
\(552\) −7.44459 28.6403i −0.316863 1.21901i
\(553\) −7.20857 36.2399i −0.306540 1.54108i
\(554\) −2.54307 + 5.34265i −0.108045 + 0.226987i
\(555\) −3.28731 5.91624i −0.139539 0.251131i
\(556\) 1.98569 + 4.86177i 0.0842120 + 0.206185i
\(557\) 1.33960 + 13.6011i 0.0567605 + 0.576299i 0.980936 + 0.194331i \(0.0622535\pi\)
−0.924176 + 0.381968i \(0.875246\pi\)
\(558\) 27.7941 21.9407i 1.17662 0.928822i
\(559\) 1.24650 0.516318i 0.0527214 0.0218379i
\(560\) 15.3628 + 1.66674i 0.649195 + 0.0704324i
\(561\) 4.06036 2.80979i 0.171429 0.118629i
\(562\) −1.23445 0.186235i −0.0520722 0.00785587i
\(563\) 15.3619 18.7185i 0.647426 0.788891i −0.341086 0.940032i \(-0.610795\pi\)
0.988512 + 0.151141i \(0.0482947\pi\)
\(564\) −18.8901 + 8.07676i −0.795415 + 0.340093i
\(565\) 1.95724 + 6.45217i 0.0823419 + 0.271445i
\(566\) −14.8227 0.764952i −0.623045 0.0321533i
\(567\) −10.9397 40.8743i −0.459423 1.71656i
\(568\) 24.5752 + 27.5223i 1.03115 + 1.15481i
\(569\) −22.0042 + 14.7028i −0.922466 + 0.616372i −0.923488 0.383628i \(-0.874675\pi\)
0.00102208 + 0.999999i \(0.499675\pi\)
\(570\) 4.33418 + 4.65123i 0.181539 + 0.194818i
\(571\) −21.4633 26.1531i −0.898210 1.09447i −0.995070 0.0991736i \(-0.968380\pi\)
0.0968606 0.995298i \(-0.469120\pi\)
\(572\) 1.67417 + 0.516912i 0.0700006 + 0.0216132i
\(573\) 29.0894 + 2.38729i 1.21523 + 0.0997306i
\(574\) −41.3525 37.6664i −1.72602 1.57217i
\(575\) 26.1236i 1.08943i
\(576\) −23.8389 + 2.77572i −0.993289 + 0.115655i
\(577\) 1.55943i 0.0649200i 0.999473 + 0.0324600i \(0.0103342\pi\)
−0.999473 + 0.0324600i \(0.989666\pi\)
\(578\) 11.0964 12.1823i 0.461549 0.506716i
\(579\) −8.16945 0.670447i −0.339511 0.0278628i
\(580\) −5.70878 + 3.01519i −0.237044 + 0.125199i
\(581\) −10.8518 13.2229i −0.450207 0.548579i
\(582\) 9.90404 9.22893i 0.410536 0.382552i
\(583\) −6.69440 + 4.47306i −0.277254 + 0.185255i
\(584\) 16.6816 + 8.04181i 0.690288 + 0.332772i
\(585\) 1.72846 + 0.285625i 0.0714631 + 0.0118091i
\(586\) −1.81587 + 35.1868i −0.0750131 + 1.45355i
\(587\) 5.54623 + 18.2835i 0.228917 + 0.754639i 0.993870 + 0.110553i \(0.0352622\pi\)
−0.764953 + 0.644086i \(0.777238\pi\)
\(588\) 48.5615 + 19.4725i 2.00264 + 0.803030i
\(589\) −16.7245 + 20.3788i −0.689119 + 0.839694i
\(590\) 0.482901 3.20088i 0.0198807 0.131778i
\(591\) 25.2052 17.4421i 1.03680 0.717472i
\(592\) −18.9477 + 1.67707i −0.778748 + 0.0689272i
\(593\) −34.0851 + 14.1185i −1.39971 + 0.579778i −0.949676 0.313235i \(-0.898587\pi\)
−0.450032 + 0.893013i \(0.648587\pi\)
\(594\) 0.863673 + 9.01752i 0.0354369 + 0.369993i
\(595\) 0.875686 + 8.89099i 0.0358996 + 0.364495i
\(596\) 19.6135 + 8.23810i 0.803401 + 0.337446i
\(597\) 14.3984 + 25.9131i 0.589288 + 1.06055i
\(598\) 5.48159 + 2.60921i 0.224159 + 0.106698i
\(599\) 5.61724 + 28.2398i 0.229514 + 1.15385i 0.907915 + 0.419154i \(0.137673\pi\)
−0.678401 + 0.734692i \(0.737327\pi\)
\(600\) 20.9845 + 2.92277i 0.856688 + 0.119322i
\(601\) 13.4707 + 2.67949i 0.549481 + 0.109299i 0.462020 0.886869i \(-0.347125\pi\)
0.0874610 + 0.996168i \(0.472125\pi\)
\(602\) −12.4907 + 1.82125i −0.509082 + 0.0742287i
\(603\) 3.75707 1.27475i 0.153000 0.0519120i
\(604\) −9.29804 31.2065i −0.378332 1.26977i
\(605\) 2.26135 7.45467i 0.0919370 0.303076i
\(606\) −5.88285 + 43.8225i −0.238975 + 1.78017i
\(607\) 11.3011 + 11.3011i 0.458698 + 0.458698i 0.898228 0.439530i \(-0.144855\pi\)
−0.439530 + 0.898228i \(0.644855\pi\)
\(608\) 16.8965 5.81097i 0.685245 0.235666i
\(609\) −31.2694 + 6.75120i −1.26710 + 0.273573i
\(610\) 15.7006 + 5.66161i 0.635699 + 0.229232i
\(611\) 1.22347 4.03325i 0.0494964 0.163168i
\(612\) −4.39318 13.1616i −0.177584 0.532027i
\(613\) 2.12430 21.5684i 0.0857997 0.871139i −0.851903 0.523700i \(-0.824551\pi\)
0.937703 0.347439i \(-0.112949\pi\)
\(614\) −17.5521 13.0849i −0.708344 0.528065i
\(615\) 8.60337 + 8.32753i 0.346921 + 0.335798i
\(616\) −13.9975 8.53161i −0.563976 0.343748i
\(617\) −5.78753 29.0959i −0.232997 1.17136i −0.903214 0.429190i \(-0.858799\pi\)
0.670217 0.742165i \(-0.266201\pi\)
\(618\) −7.00637 + 29.7066i −0.281838 + 1.19497i
\(619\) 39.8984 + 21.3261i 1.60365 + 0.857169i 0.998116 + 0.0613497i \(0.0195405\pi\)
0.605534 + 0.795819i \(0.292960\pi\)
\(620\) 0.0678587 13.7164i 0.00272527 0.550864i
\(621\) −1.54684 + 31.3489i −0.0620724 + 1.25799i
\(622\) −10.2508 6.17862i −0.411020 0.247740i
\(623\) 74.9371 31.0400i 3.00229 1.24359i
\(624\) 2.70921 4.11130i 0.108455 0.164584i
\(625\) −14.1610 5.86567i −0.566440 0.234627i
\(626\) 12.4164 + 16.8284i 0.496259 + 0.672599i
\(627\) −2.06261 6.42106i −0.0823729 0.256432i
\(628\) 2.22345 10.8960i 0.0887254 0.434800i
\(629\) −3.19236 10.5238i −0.127288 0.419612i
\(630\) −15.0209 6.55855i −0.598447 0.261299i
\(631\) 3.61127 + 2.41297i 0.143762 + 0.0960590i 0.625371 0.780327i \(-0.284947\pi\)
−0.481609 + 0.876386i \(0.659947\pi\)
\(632\) 21.5225 + 5.56117i 0.856120 + 0.221211i
\(633\) 25.0635 0.408338i 0.996184 0.0162300i
\(634\) 8.48089 5.05478i 0.336819 0.200751i
\(635\) 1.24884 + 1.52172i 0.0495588 + 0.0603876i
\(636\) 6.81277 + 21.5746i 0.270144 + 0.855488i
\(637\) −9.46623 + 5.05980i −0.375066 + 0.200477i
\(638\) 6.84130 0.319130i 0.270849 0.0126345i
\(639\) −16.1464 35.6495i −0.638742 1.41027i
\(640\) −4.91676 + 7.89002i −0.194352 + 0.311881i
\(641\) 42.9031i 1.69457i −0.531138 0.847285i \(-0.678235\pi\)
0.531138 0.847285i \(-0.321765\pi\)
\(642\) −21.0269 12.2114i −0.829867 0.481944i
\(643\) −11.9723 22.3985i −0.472140 0.883312i −0.999434 0.0336294i \(-0.989293\pi\)
0.527294 0.849683i \(-0.323207\pi\)
\(644\) −43.7263 36.2487i −1.72306 1.42840i
\(645\) 2.68434 0.308613i 0.105696 0.0121516i
\(646\) 5.28885 + 8.87361i 0.208087 + 0.349128i
\(647\) 11.7863 7.87535i 0.463367 0.309612i −0.301883 0.953345i \(-0.597615\pi\)
0.765250 + 0.643733i \(0.222615\pi\)
\(648\) 25.0088 + 4.74993i 0.982437 + 0.186595i
\(649\) −1.90781 + 2.85523i −0.0748879 + 0.112078i
\(650\) −3.22782 + 2.91102i −0.126606 + 0.114180i
\(651\) 18.6672 65.3515i 0.731625 2.56133i
\(652\) 7.42762 36.3991i 0.290888 1.42550i
\(653\) 10.4999 12.7941i 0.410891 0.500672i −0.525907 0.850542i \(-0.676274\pi\)
0.936798 + 0.349870i \(0.113774\pi\)
\(654\) −15.1309 + 0.953060i −0.591666 + 0.0372676i
\(655\) 5.66656 13.6803i 0.221411 0.534533i
\(656\) 31.2157 12.5696i 1.21877 0.490759i
\(657\) −14.3342 13.4293i −0.559229 0.523926i
\(658\) −20.3556 + 33.7715i −0.793543 + 1.31655i
\(659\) −4.34490 44.1145i −0.169253 1.71846i −0.586741 0.809775i \(-0.699589\pi\)
0.417488 0.908683i \(-0.362911\pi\)
\(660\) 2.93955 + 1.91628i 0.114422 + 0.0745909i
\(661\) −8.88449 + 16.6217i −0.345567 + 0.646510i −0.993327 0.115335i \(-0.963206\pi\)
0.647760 + 0.761844i \(0.275706\pi\)
\(662\) −45.9008 + 16.2956i −1.78398 + 0.633346i
\(663\) 2.64731 + 1.04636i 0.102813 + 0.0406372i
\(664\) 10.0008 2.42635i 0.388108 0.0941608i
\(665\) 11.9680 + 2.38058i 0.464099 + 0.0923151i
\(666\) 19.7098 + 4.31092i 0.763737 + 0.167045i
\(667\) 23.6154 + 2.32591i 0.914390 + 0.0900596i
\(668\) −0.342118 0.0354055i −0.0132369 0.00136988i
\(669\) −23.0776 + 19.5771i −0.892233 + 0.756893i
\(670\) 0.521318 1.44570i 0.0201403 0.0558524i
\(671\) −12.5194 12.5194i −0.483308 0.483308i
\(672\) −34.0099 + 31.0687i −1.31196 + 1.19850i
\(673\) 3.18240 3.18240i 0.122673 0.122673i −0.643105 0.765778i \(-0.722354\pi\)
0.765778 + 0.643105i \(0.222354\pi\)
\(674\) 4.97623 + 10.5890i 0.191677 + 0.407875i
\(675\) −20.3126 9.61250i −0.781833 0.369985i
\(676\) −7.13579 23.9494i −0.274453 0.921132i
\(677\) 3.86197 39.2112i 0.148427 1.50701i −0.575881 0.817533i \(-0.695341\pi\)
0.724309 0.689476i \(-0.242159\pi\)
\(678\) −18.2864 8.34161i −0.702284 0.320358i
\(679\) 5.06907 25.4839i 0.194533 0.977984i
\(680\) −5.04702 1.84821i −0.193544 0.0708757i
\(681\) −40.2843 15.9225i −1.54370 0.610153i
\(682\) −6.25375 + 13.1383i −0.239468 + 0.503090i
\(683\) −1.58716 0.848353i −0.0607308 0.0324613i 0.440752 0.897629i \(-0.354712\pi\)
−0.501483 + 0.865168i \(0.667212\pi\)
\(684\) −18.9445 + 0.523649i −0.724361 + 0.0200222i
\(685\) −0.987807 + 0.0972905i −0.0377422 + 0.00371728i
\(686\) 52.2965 12.9622i 1.99669 0.494899i
\(687\) 23.7408 + 4.32154i 0.905768 + 0.164877i
\(688\) 2.27620 7.24480i 0.0867795 0.276206i
\(689\) −4.28822 1.77624i −0.163368 0.0676692i
\(690\) 9.12047 + 8.03960i 0.347210 + 0.306062i
\(691\) 4.75508 + 3.90239i 0.180892 + 0.148454i 0.720482 0.693474i \(-0.243921\pi\)
−0.539590 + 0.841928i \(0.681421\pi\)
\(692\) 5.33368 + 27.5252i 0.202756 + 1.04635i
\(693\) 11.4622 + 13.0739i 0.435412 + 0.496636i
\(694\) −44.6106 2.30221i −1.69340 0.0873907i
\(695\) −1.79404 1.19874i −0.0680517 0.0454707i
\(696\) 4.51049 18.7094i 0.170970 0.709179i
\(697\) 10.8088 + 16.1765i 0.409412 + 0.612729i
\(698\) 28.2829 + 7.15891i 1.07053 + 0.270969i
\(699\) 44.7639 5.14642i 1.69313 0.194656i
\(700\) 35.9581 18.9919i 1.35909 0.717826i
\(701\) −26.5988 + 14.2173i −1.00462 + 0.536982i −0.889774 0.456401i \(-0.849138\pi\)
−0.114848 + 0.993383i \(0.536638\pi\)
\(702\) −4.04582 + 3.30216i −0.152700 + 0.124632i
\(703\) −15.0207 −0.566516
\(704\) 8.28033 5.35671i 0.312077 0.201889i
\(705\) 4.57448 7.09369i 0.172285 0.267164i
\(706\) 0.977998 1.07370i 0.0368074 0.0404094i
\(707\) 40.0052 + 74.8445i 1.50455 + 2.81482i
\(708\) 6.20591 + 7.38938i 0.233232 + 0.277710i
\(709\) 12.4140 10.1879i 0.466217 0.382615i −0.371752 0.928332i \(-0.621243\pi\)
0.837969 + 0.545717i \(0.183743\pi\)
\(710\) −14.6960 3.71983i −0.551533 0.139603i
\(711\) −20.0206 12.4536i −0.750830 0.467045i
\(712\) −2.75598 + 48.7194i −0.103285 + 1.82584i
\(713\) −28.0094 + 41.9190i −1.04896 + 1.56988i
\(714\) −21.6081 15.5675i −0.808663 0.582601i
\(715\) −0.688885 + 0.208971i −0.0257628 + 0.00781507i
\(716\) 11.3007 16.7328i 0.422325 0.625335i
\(717\) 5.66530 + 17.6365i 0.211574 + 0.658646i
\(718\) 0.346418 2.29621i 0.0129282 0.0856938i
\(719\) −14.1058 + 34.0544i −0.526058 + 1.27002i 0.408028 + 0.912969i \(0.366217\pi\)
−0.934086 + 0.357047i \(0.883783\pi\)
\(720\) 7.47844 6.42677i 0.278705 0.239511i
\(721\) 22.4183 + 54.1225i 0.834901 + 2.01563i
\(722\) −12.3858 + 3.06995i −0.460953 + 0.114252i
\(723\) −10.4674 + 20.3747i −0.389287 + 0.757744i
\(724\) −2.85590 6.99239i −0.106139 0.259870i
\(725\) −8.00892 + 14.9836i −0.297444 + 0.556478i
\(726\) 12.2126 + 19.7513i 0.453250 + 0.733040i
\(727\) 39.0483 7.76720i 1.44822 0.288069i 0.592528 0.805550i \(-0.298130\pi\)
0.855695 + 0.517481i \(0.173130\pi\)
\(728\) −0.393647 9.44208i −0.0145895 0.349947i
\(729\) −23.8064 12.7380i −0.881718 0.471776i
\(730\) −7.52894 + 1.09779i −0.278659 + 0.0406309i
\(731\) 4.36926 + 0.430335i 0.161603 + 0.0159165i
\(732\) −43.6092 + 23.9495i −1.61184 + 0.885200i
\(733\) 27.8657 + 8.45297i 1.02924 + 0.312218i 0.759357 0.650674i \(-0.225514\pi\)
0.269887 + 0.962892i \(0.413014\pi\)
\(734\) 19.0245 + 40.4827i 0.702207 + 1.49424i
\(735\) −21.0119 + 4.53656i −0.775035 + 0.167333i
\(736\) 31.0675 14.2264i 1.14516 0.524391i
\(737\) −1.15278 + 1.15278i −0.0424633 + 0.0424633i
\(738\) −35.5808 + 2.82373i −1.30975 + 0.103943i
\(739\) −20.9608 6.35840i −0.771057 0.233898i −0.119844 0.992793i \(-0.538239\pi\)
−0.651213 + 0.758895i \(0.725739\pi\)
\(740\) 6.06571 4.92798i 0.222980 0.181156i
\(741\) 2.41724 3.04525i 0.0887995 0.111870i
\(742\) 34.8150 + 25.9543i 1.27810 + 0.952813i
\(743\) −7.06532 + 35.5198i −0.259201 + 1.30309i 0.603493 + 0.797368i \(0.293775\pi\)
−0.862694 + 0.505725i \(0.831225\pi\)
\(744\) 30.5388 + 27.1893i 1.11961 + 0.996807i
\(745\) −8.57236 + 1.70515i −0.314067 + 0.0624718i
\(746\) 15.7651 5.59688i 0.577200 0.204916i
\(747\) −10.8917 0.715452i −0.398508 0.0261770i
\(748\) 4.01167 + 4.05156i 0.146681 + 0.148140i
\(749\) −46.4456 + 4.57449i −1.69708 + 0.167148i
\(750\) −16.8542 + 8.25831i −0.615429 + 0.301551i
\(751\) −18.6519 45.0297i −0.680618 1.64316i −0.762875 0.646546i \(-0.776213\pi\)
0.0822573 0.996611i \(-0.473787\pi\)
\(752\) −12.9837 19.8540i −0.473467 0.724000i
\(753\) −31.4827 + 21.7861i −1.14729 + 0.793931i
\(754\) 2.34413 + 3.17708i 0.0853681 + 0.115703i
\(755\) 10.3416 + 8.48716i 0.376370 + 0.308879i
\(756\) 44.2751 20.6615i 1.61027 0.751452i
\(757\) −39.3469 + 11.9358i −1.43009 + 0.433813i −0.907961 0.419054i \(-0.862362\pi\)
−0.522128 + 0.852867i \(0.674862\pi\)
\(758\) 19.9325 17.9762i 0.723981 0.652924i
\(759\) −5.12907 11.8337i −0.186174 0.429535i
\(760\) −4.41673 + 5.86383i −0.160212 + 0.212703i
\(761\) −5.38850 8.06446i −0.195333 0.292336i 0.720855 0.693086i \(-0.243750\pi\)
−0.916187 + 0.400750i \(0.868750\pi\)
\(762\) −5.86455 0.206930i −0.212450 0.00749629i
\(763\) −22.4939 + 18.4603i −0.814336 + 0.668308i
\(764\) 3.13744 + 33.5561i 0.113509 + 1.21402i
\(765\) 4.52226 + 3.47109i 0.163503 + 0.125497i
\(766\) 7.48699 0.349250i 0.270516 0.0126189i
\(767\) −1.97966 −0.0714815
\(768\) −7.95179 26.5475i −0.286935 0.957950i
\(769\) −6.47607 −0.233533 −0.116767 0.993159i \(-0.537253\pi\)
−0.116767 + 0.993159i \(0.537253\pi\)
\(770\) 6.72770 0.313831i 0.242449 0.0113097i
\(771\) −12.3336 1.01219i −0.444184 0.0364531i
\(772\) −0.881119 9.42388i −0.0317122 0.339173i