Properties

Label 483.2.r.a.412.10
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.10
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19713 - 0.769346i) q^{2} +(0.989821 - 0.142315i) q^{3} +(0.0103865 + 0.0227432i) q^{4} +(-1.85052 - 0.543361i) q^{5} +(-1.29443 - 0.591146i) q^{6} +(2.00756 + 1.72328i) q^{7} +(-0.399972 + 2.78187i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(-1.19713 - 0.769346i) q^{2} +(0.989821 - 0.142315i) q^{3} +(0.0103865 + 0.0227432i) q^{4} +(-1.85052 - 0.543361i) q^{5} +(-1.29443 - 0.591146i) q^{6} +(2.00756 + 1.72328i) q^{7} +(-0.399972 + 2.78187i) q^{8} +(0.959493 - 0.281733i) q^{9} +(1.79727 + 2.07416i) q^{10} +(-1.95833 - 3.04722i) q^{11} +(0.0135175 + 0.0210336i) q^{12} +(2.98474 - 2.58629i) q^{13} +(-1.07751 - 3.60749i) q^{14} +(-1.90901 - 0.274474i) q^{15} +(2.65178 - 3.06032i) q^{16} +(2.49084 - 5.45419i) q^{17} +(-1.36538 - 0.400913i) q^{18} +(-2.11104 - 4.62252i) q^{19} +(-0.00686259 - 0.0477303i) q^{20} +(2.23238 + 1.42003i) q^{21} +5.15454i q^{22} +(-4.57289 + 1.44523i) q^{23} +2.81047i q^{24} +(-1.07709 - 0.692206i) q^{25} +(-5.56286 + 0.799819i) q^{26} +(0.909632 - 0.415415i) q^{27} +(-0.0183413 + 0.0635573i) q^{28} +(-0.273749 + 0.599427i) q^{29} +(2.07416 + 1.79727i) q^{30} +(-9.09573 - 1.30777i) q^{31} +(-0.135699 + 0.0398449i) q^{32} +(-2.37206 - 2.73750i) q^{33} +(-7.17801 + 4.61303i) q^{34} +(-2.77867 - 4.27979i) q^{35} +(0.0163733 + 0.0188958i) q^{36} +(1.49824 + 5.10254i) q^{37} +(-1.02914 + 7.15786i) q^{38} +(2.58629 - 2.98474i) q^{39} +(2.25171 - 4.93056i) q^{40} +(-0.999662 + 3.40453i) q^{41} +(-1.57994 - 3.41743i) q^{42} +(11.5055 - 1.65425i) q^{43} +(0.0489634 - 0.0761886i) q^{44} -1.92864 q^{45} +(6.58620 + 1.78801i) q^{46} -8.64293i q^{47} +(2.18926 - 3.40656i) q^{48} +(1.06063 + 6.91918i) q^{49} +(0.756870 + 1.65732i) q^{50} +(1.68928 - 5.75315i) q^{51} +(0.0898216 + 0.0410202i) q^{52} +(-4.59919 - 3.98522i) q^{53} +(-1.40854 - 0.202518i) q^{54} +(1.96818 + 6.70301i) q^{55} +(-5.59689 + 4.89551i) q^{56} +(-2.74740 - 4.27504i) q^{57} +(0.788879 - 0.506981i) q^{58} +(2.75852 - 2.39027i) q^{59} +(-0.0135855 - 0.0462679i) q^{60} +(1.18090 - 8.21335i) q^{61} +(9.88261 + 8.56333i) q^{62} +(2.41175 + 1.08788i) q^{63} +(-7.57760 - 2.22498i) q^{64} +(-6.92861 + 3.16419i) q^{65} +(0.733567 + 5.10207i) q^{66} +(-2.51938 + 3.92024i) q^{67} +0.149917 q^{68} +(-4.32066 + 2.08131i) q^{69} +(0.0337839 + 7.26120i) q^{70} +(2.52332 + 1.62164i) q^{71} +(0.399972 + 2.78187i) q^{72} +(1.80436 - 0.824025i) q^{73} +(2.13204 - 7.26105i) q^{74} +(-1.16464 - 0.531874i) q^{75} +(0.0832048 - 0.0960235i) q^{76} +(1.31973 - 9.49223i) q^{77} +(-5.39242 + 1.58336i) q^{78} +(8.73472 - 7.56868i) q^{79} +(-6.57002 + 4.22230i) q^{80} +(0.841254 - 0.540641i) q^{81} +(3.81599 - 3.30657i) q^{82} +(1.39646 - 0.410037i) q^{83} +(-0.00910950 + 0.0655206i) q^{84} +(-7.57294 + 8.73964i) q^{85} +(-15.0463 - 6.87140i) q^{86} +(-0.185655 + 0.632284i) q^{87} +(9.26023 - 4.22901i) q^{88} +(-0.896944 - 6.23838i) q^{89} +(2.30883 + 1.48379i) q^{90} +(10.4490 - 0.0486154i) q^{91} +(-0.0803654 - 0.0889913i) q^{92} -9.18927 q^{93} +(-6.64940 + 10.3467i) q^{94} +(1.39481 + 9.70111i) q^{95} +(-0.128648 + 0.0587514i) q^{96} +(9.51325 + 2.79334i) q^{97} +(4.05353 - 9.09912i) q^{98} +(-2.73750 - 2.37206i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19713 0.769346i −0.846496 0.544010i 0.0439843 0.999032i \(-0.485995\pi\)
−0.890480 + 0.455023i \(0.849631\pi\)
\(3\) 0.989821 0.142315i 0.571474 0.0821655i
\(4\) 0.0103865 + 0.0227432i 0.00519324 + 0.0113716i
\(5\) −1.85052 0.543361i −0.827577 0.242998i −0.159601 0.987182i \(-0.551021\pi\)
−0.667976 + 0.744183i \(0.732839\pi\)
\(6\) −1.29443 0.591146i −0.528449 0.241334i
\(7\) 2.00756 + 1.72328i 0.758788 + 0.651337i
\(8\) −0.399972 + 2.78187i −0.141411 + 0.983538i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) 1.79727 + 2.07416i 0.568346 + 0.655907i
\(11\) −1.95833 3.04722i −0.590458 0.918771i −0.999979 0.00647023i \(-0.997940\pi\)
0.409521 0.912301i \(-0.365696\pi\)
\(12\) 0.0135175 + 0.0210336i 0.00390215 + 0.00607187i
\(13\) 2.98474 2.58629i 0.827818 0.717309i −0.134005 0.990981i \(-0.542784\pi\)
0.961823 + 0.273672i \(0.0882383\pi\)
\(14\) −1.07751 3.60749i −0.287977 0.964142i
\(15\) −1.90901 0.274474i −0.492904 0.0708689i
\(16\) 2.65178 3.06032i 0.662945 0.765079i
\(17\) 2.49084 5.45419i 0.604118 1.32283i −0.322407 0.946601i \(-0.604492\pi\)
0.926525 0.376233i \(-0.122781\pi\)
\(18\) −1.36538 0.400913i −0.321824 0.0944960i
\(19\) −2.11104 4.62252i −0.484305 1.06048i −0.981257 0.192702i \(-0.938275\pi\)
0.496953 0.867778i \(-0.334452\pi\)
\(20\) −0.00686259 0.0477303i −0.00153452 0.0106728i
\(21\) 2.23238 + 1.42003i 0.487145 + 0.309876i
\(22\) 5.15454i 1.09895i
\(23\) −4.57289 + 1.44523i −0.953513 + 0.301352i
\(24\) 2.81047i 0.573685i
\(25\) −1.07709 0.692206i −0.215419 0.138441i
\(26\) −5.56286 + 0.799819i −1.09097 + 0.156857i
\(27\) 0.909632 0.415415i 0.175059 0.0799467i
\(28\) −0.0183413 + 0.0635573i −0.00346619 + 0.0120112i
\(29\) −0.273749 + 0.599427i −0.0508339 + 0.111311i −0.933345 0.358981i \(-0.883124\pi\)
0.882511 + 0.470292i \(0.155851\pi\)
\(30\) 2.07416 + 1.79727i 0.378688 + 0.328135i
\(31\) −9.09573 1.30777i −1.63364 0.234882i −0.736440 0.676503i \(-0.763495\pi\)
−0.897202 + 0.441621i \(0.854404\pi\)
\(32\) −0.135699 + 0.0398449i −0.0239885 + 0.00704365i
\(33\) −2.37206 2.73750i −0.412923 0.476538i
\(34\) −7.17801 + 4.61303i −1.23102 + 0.791127i
\(35\) −2.77867 4.27979i −0.469681 0.723416i
\(36\) 0.0163733 + 0.0188958i 0.00272888 + 0.00314929i
\(37\) 1.49824 + 5.10254i 0.246309 + 0.838853i 0.986120 + 0.166037i \(0.0530971\pi\)
−0.739810 + 0.672816i \(0.765085\pi\)
\(38\) −1.02914 + 7.15786i −0.166949 + 1.16116i
\(39\) 2.58629 2.98474i 0.414138 0.477941i
\(40\) 2.25171 4.93056i 0.356027 0.779590i
\(41\) −0.999662 + 3.40453i −0.156121 + 0.531699i −0.999988 0.00485291i \(-0.998455\pi\)
0.843867 + 0.536552i \(0.180273\pi\)
\(42\) −1.57994 3.41743i −0.243791 0.527320i
\(43\) 11.5055 1.65425i 1.75458 0.252270i 0.811384 0.584513i \(-0.198714\pi\)
0.943194 + 0.332243i \(0.107805\pi\)
\(44\) 0.0489634 0.0761886i 0.00738151 0.0114859i
\(45\) −1.92864 −0.287505
\(46\) 6.58620 + 1.78801i 0.971083 + 0.263628i
\(47\) 8.64293i 1.26070i −0.776311 0.630351i \(-0.782911\pi\)
0.776311 0.630351i \(-0.217089\pi\)
\(48\) 2.18926 3.40656i 0.315992 0.491694i
\(49\) 1.06063 + 6.91918i 0.151519 + 0.988454i
\(50\) 0.756870 + 1.65732i 0.107038 + 0.234380i
\(51\) 1.68928 5.75315i 0.236546 0.805603i
\(52\) 0.0898216 + 0.0410202i 0.0124560 + 0.00568847i
\(53\) −4.59919 3.98522i −0.631747 0.547412i 0.279045 0.960278i \(-0.409982\pi\)
−0.910792 + 0.412866i \(0.864528\pi\)
\(54\) −1.40854 0.202518i −0.191678 0.0275592i
\(55\) 1.96818 + 6.70301i 0.265390 + 0.903834i
\(56\) −5.59689 + 4.89551i −0.747916 + 0.654191i
\(57\) −2.74740 4.27504i −0.363902 0.566243i
\(58\) 0.788879 0.506981i 0.103585 0.0665699i
\(59\) 2.75852 2.39027i 0.359128 0.311186i −0.456544 0.889701i \(-0.650913\pi\)
0.815672 + 0.578515i \(0.196367\pi\)
\(60\) −0.0135855 0.0462679i −0.00175388 0.00597316i
\(61\) 1.18090 8.21335i 0.151199 1.05161i −0.763015 0.646381i \(-0.776282\pi\)
0.914214 0.405231i \(-0.132809\pi\)
\(62\) 9.88261 + 8.56333i 1.25509 + 1.08754i
\(63\) 2.41175 + 1.08788i 0.303852 + 0.137059i
\(64\) −7.57760 2.22498i −0.947200 0.278123i
\(65\) −6.92861 + 3.16419i −0.859388 + 0.392469i
\(66\) 0.733567 + 5.10207i 0.0902958 + 0.628021i
\(67\) −2.51938 + 3.92024i −0.307792 + 0.478933i −0.960347 0.278808i \(-0.910061\pi\)
0.652555 + 0.757741i \(0.273697\pi\)
\(68\) 0.149917 0.0181801
\(69\) −4.32066 + 2.08131i −0.520147 + 0.250560i
\(70\) 0.0337839 + 7.26120i 0.00403794 + 0.867880i
\(71\) 2.52332 + 1.62164i 0.299464 + 0.192454i 0.681740 0.731594i \(-0.261223\pi\)
−0.382277 + 0.924048i \(0.624860\pi\)
\(72\) 0.399972 + 2.78187i 0.0471371 + 0.327846i
\(73\) 1.80436 0.824025i 0.211185 0.0964448i −0.307014 0.951705i \(-0.599330\pi\)
0.518199 + 0.855260i \(0.326603\pi\)
\(74\) 2.13204 7.26105i 0.247844 0.844080i
\(75\) −1.16464 0.531874i −0.134481 0.0614155i
\(76\) 0.0832048 0.0960235i 0.00954425 0.0110147i
\(77\) 1.31973 9.49223i 0.150397 1.08174i
\(78\) −5.39242 + 1.58336i −0.610571 + 0.179280i
\(79\) 8.73472 7.56868i 0.982733 0.851543i −0.00618885 0.999981i \(-0.501970\pi\)
0.988922 + 0.148438i \(0.0474245\pi\)
\(80\) −6.57002 + 4.22230i −0.734551 + 0.472067i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 3.81599 3.30657i 0.421405 0.365150i
\(83\) 1.39646 0.410037i 0.153281 0.0450074i −0.204192 0.978931i \(-0.565457\pi\)
0.357473 + 0.933923i \(0.383638\pi\)
\(84\) −0.00910950 + 0.0655206i −0.000993928 + 0.00714888i
\(85\) −7.57294 + 8.73964i −0.821401 + 0.947947i
\(86\) −15.0463 6.87140i −1.62248 0.740962i
\(87\) −0.185655 + 0.632284i −0.0199043 + 0.0677880i
\(88\) 9.26023 4.22901i 0.987144 0.450813i
\(89\) −0.896944 6.23838i −0.0950759 0.661267i −0.980505 0.196493i \(-0.937045\pi\)
0.885429 0.464774i \(-0.153864\pi\)
\(90\) 2.30883 + 1.48379i 0.243372 + 0.156405i
\(91\) 10.4490 0.0486154i 1.09535 0.00509628i
\(92\) −0.0803654 0.0889913i −0.00837868 0.00927799i
\(93\) −9.18927 −0.952883
\(94\) −6.64940 + 10.3467i −0.685834 + 1.06718i
\(95\) 1.39481 + 9.70111i 0.143104 + 0.995313i
\(96\) −0.128648 + 0.0587514i −0.0131300 + 0.00599629i
\(97\) 9.51325 + 2.79334i 0.965924 + 0.283621i 0.726402 0.687270i \(-0.241191\pi\)
0.239522 + 0.970891i \(0.423009\pi\)
\(98\) 4.05353 9.09912i 0.409469 0.919150i
\(99\) −2.73750 2.37206i −0.275129 0.238401i
\(100\) 0.00455578 0.0316862i 0.000455578 0.00316862i
\(101\) 3.71719 + 12.6596i 0.369874 + 1.25968i 0.908768 + 0.417302i \(0.137024\pi\)
−0.538894 + 0.842374i \(0.681158\pi\)
\(102\) −6.44844 + 5.58761i −0.638491 + 0.553256i
\(103\) −9.32445 + 5.99246i −0.918765 + 0.590455i −0.912299 0.409525i \(-0.865695\pi\)
−0.00646614 + 0.999979i \(0.502058\pi\)
\(104\) 6.00091 + 9.33760i 0.588437 + 0.915627i
\(105\) −3.35947 3.84078i −0.327850 0.374822i
\(106\) 2.43979 + 8.30917i 0.236974 + 0.807058i
\(107\) 11.9030 + 1.71140i 1.15071 + 0.165447i 0.691158 0.722703i \(-0.257101\pi\)
0.459553 + 0.888151i \(0.348010\pi\)
\(108\) 0.0188958 + 0.0163733i 0.00181824 + 0.00157552i
\(109\) −6.65290 3.03828i −0.637232 0.291014i 0.0704821 0.997513i \(-0.477546\pi\)
−0.707714 + 0.706499i \(0.750273\pi\)
\(110\) 2.80077 9.53856i 0.267043 0.909466i
\(111\) 2.20916 + 4.83738i 0.209684 + 0.459144i
\(112\) 10.5974 1.57403i 1.00136 0.148732i
\(113\) 7.04875 10.9681i 0.663091 1.03179i −0.332954 0.942943i \(-0.608045\pi\)
0.996045 0.0888468i \(-0.0283182\pi\)
\(114\) 7.23146i 0.677289i
\(115\) 9.24749 0.189698i 0.862333 0.0176894i
\(116\) −0.0164762 −0.00152978
\(117\) 2.13520 3.32243i 0.197399 0.307159i
\(118\) −5.14123 + 0.739197i −0.473289 + 0.0680486i
\(119\) 14.3996 6.65722i 1.32001 0.610266i
\(120\) 1.52710 5.20083i 0.139405 0.474768i
\(121\) −0.880926 + 1.92896i −0.0800842 + 0.175360i
\(122\) −7.73260 + 8.92389i −0.700076 + 0.807931i
\(123\) −0.504971 + 3.51215i −0.0455317 + 0.316680i
\(124\) −0.0647298 0.220449i −0.00581291 0.0197969i
\(125\) 7.93202 + 9.15404i 0.709461 + 0.818762i
\(126\) −2.05021 3.15779i −0.182647 0.281318i
\(127\) −10.5131 + 6.75637i −0.932888 + 0.599531i −0.916370 0.400333i \(-0.868894\pi\)
−0.0165182 + 0.999864i \(0.505258\pi\)
\(128\) 7.54479 + 8.70715i 0.666871 + 0.769611i
\(129\) 11.1530 3.27482i 0.981967 0.288332i
\(130\) 10.7288 + 1.54256i 0.940975 + 0.135292i
\(131\) 8.96849 + 7.77124i 0.783581 + 0.678977i 0.951782 0.306776i \(-0.0992503\pi\)
−0.168201 + 0.985753i \(0.553796\pi\)
\(132\) 0.0376223 0.0823813i 0.00327460 0.00717037i
\(133\) 3.72785 12.9179i 0.323245 1.12013i
\(134\) 6.03204 2.75474i 0.521089 0.237973i
\(135\) −1.90901 + 0.274474i −0.164301 + 0.0236230i
\(136\) 14.1765 + 9.11071i 1.21563 + 0.781237i
\(137\) 5.23884i 0.447584i 0.974637 + 0.223792i \(0.0718437\pi\)
−0.974637 + 0.223792i \(0.928156\pi\)
\(138\) 6.77363 + 0.832495i 0.576609 + 0.0708667i
\(139\) 11.1899i 0.949112i −0.880225 0.474556i \(-0.842609\pi\)
0.880225 0.474556i \(-0.157391\pi\)
\(140\) 0.0684755 0.107648i 0.00578724 0.00909791i
\(141\) −1.23002 8.55496i −0.103586 0.720458i
\(142\) −1.77313 3.88262i −0.148798 0.325822i
\(143\) −13.7261 4.03035i −1.14783 0.337035i
\(144\) 1.68217 3.68345i 0.140181 0.306954i
\(145\) 0.832283 0.960505i 0.0691173 0.0797656i
\(146\) −2.79401 0.401718i −0.231234 0.0332464i
\(147\) 2.03454 + 6.69781i 0.167806 + 0.552426i
\(148\) −0.100487 + 0.0870723i −0.00825996 + 0.00715730i
\(149\) 11.7883 + 18.3429i 0.965733 + 1.50271i 0.861249 + 0.508183i \(0.169683\pi\)
0.104484 + 0.994527i \(0.466681\pi\)
\(150\) 0.985027 + 1.53273i 0.0804271 + 0.125147i
\(151\) 6.96490 + 8.03792i 0.566795 + 0.654117i 0.964713 0.263304i \(-0.0848124\pi\)
−0.397917 + 0.917421i \(0.630267\pi\)
\(152\) 13.7036 4.02374i 1.11151 0.326368i
\(153\) 0.853325 5.93501i 0.0689872 0.479817i
\(154\) −8.88269 + 10.3481i −0.715788 + 0.833871i
\(155\) 16.1212 + 7.36232i 1.29489 + 0.591355i
\(156\) 0.0947451 + 0.0278197i 0.00758568 + 0.00222736i
\(157\) 9.43594 + 20.6618i 0.753070 + 1.64899i 0.760768 + 0.649024i \(0.224822\pi\)
−0.00769782 + 0.999970i \(0.502450\pi\)
\(158\) −16.2795 + 2.34064i −1.29513 + 0.186211i
\(159\) −5.11953 3.29012i −0.406005 0.260924i
\(160\) 0.272764 0.0215639
\(161\) −11.6709 4.97896i −0.919796 0.392397i
\(162\) −1.42303 −0.111803
\(163\) −13.4485 8.64286i −1.05337 0.676961i −0.105113 0.994460i \(-0.533520\pi\)
−0.948258 + 0.317499i \(0.897157\pi\)
\(164\) −0.0878131 + 0.0126256i −0.00685705 + 0.000985895i
\(165\) 2.90209 + 6.35468i 0.225927 + 0.494711i
\(166\) −1.98720 0.583493i −0.154236 0.0452879i
\(167\) −17.3498 7.92341i −1.34257 0.613132i −0.390952 0.920411i \(-0.627854\pi\)
−0.951619 + 0.307279i \(0.900581\pi\)
\(168\) −4.84322 + 5.64221i −0.373663 + 0.435306i
\(169\) 0.369677 2.57116i 0.0284367 0.197781i
\(170\) 15.7896 4.63624i 1.21100 0.355583i
\(171\) −3.32784 3.84053i −0.254486 0.293693i
\(172\) 0.157125 + 0.244491i 0.0119807 + 0.0186423i
\(173\) −2.65926 4.13788i −0.202179 0.314597i 0.725327 0.688404i \(-0.241689\pi\)
−0.927506 + 0.373807i \(0.878052\pi\)
\(174\) 0.708698 0.614090i 0.0537262 0.0465541i
\(175\) −0.969473 3.24578i −0.0732853 0.245358i
\(176\) −14.5185 2.08745i −1.09437 0.157347i
\(177\) 2.39027 2.75852i 0.179663 0.207343i
\(178\) −3.72572 + 8.15819i −0.279255 + 0.611482i
\(179\) −3.27841 0.962628i −0.245040 0.0719502i 0.156906 0.987613i \(-0.449848\pi\)
−0.401946 + 0.915663i \(0.631666\pi\)
\(180\) −0.0200318 0.0438635i −0.00149308 0.00326939i
\(181\) 2.14559 + 14.9229i 0.159480 + 1.10921i 0.899594 + 0.436727i \(0.143863\pi\)
−0.740114 + 0.672482i \(0.765228\pi\)
\(182\) −12.5461 7.98067i −0.929980 0.591566i
\(183\) 8.29781i 0.613392i
\(184\) −2.19141 13.2992i −0.161553 0.980431i
\(185\) 10.2564i 0.754068i
\(186\) 11.0007 + 7.06972i 0.806611 + 0.518377i
\(187\) −21.4980 + 3.09094i −1.57209 + 0.226032i
\(188\) 0.196568 0.0897697i 0.0143362 0.00654713i
\(189\) 2.54202 + 0.733575i 0.184905 + 0.0533597i
\(190\) 5.79375 12.6865i 0.420323 0.920379i
\(191\) 6.80994 + 5.90085i 0.492750 + 0.426970i 0.865460 0.500977i \(-0.167026\pi\)
−0.372710 + 0.927948i \(0.621572\pi\)
\(192\) −7.81712 1.12393i −0.564152 0.0811128i
\(193\) −11.7939 + 3.46300i −0.848944 + 0.249272i −0.677136 0.735858i \(-0.736779\pi\)
−0.171808 + 0.985130i \(0.554961\pi\)
\(194\) −9.23951 10.6630i −0.663358 0.765556i
\(195\) −6.40777 + 4.11803i −0.458870 + 0.294898i
\(196\) −0.146348 + 0.0959882i −0.0104534 + 0.00685630i
\(197\) 9.90291 + 11.4286i 0.705553 + 0.814251i 0.989491 0.144591i \(-0.0461867\pi\)
−0.283939 + 0.958842i \(0.591641\pi\)
\(198\) 1.45220 + 4.94574i 0.103203 + 0.351478i
\(199\) 0.379437 2.63904i 0.0268976 0.187077i −0.971943 0.235216i \(-0.924420\pi\)
0.998841 + 0.0481395i \(0.0153292\pi\)
\(200\) 2.35643 2.71947i 0.166625 0.192295i
\(201\) −1.93583 + 4.23888i −0.136543 + 0.298988i
\(202\) 5.28966 18.0149i 0.372179 1.26752i
\(203\) −1.58255 + 0.731643i −0.111073 + 0.0513513i
\(204\) 0.148391 0.0213354i 0.0103894 0.00149378i
\(205\) 3.69978 5.75697i 0.258404 0.402085i
\(206\) 15.7728 1.09894
\(207\) −3.98049 + 2.67502i −0.276663 + 0.185927i
\(208\) 15.9925i 1.10888i
\(209\) −9.95174 + 15.4852i −0.688376 + 1.07113i
\(210\) 1.06682 + 7.18249i 0.0736174 + 0.495639i
\(211\) −7.30605 15.9980i −0.502969 1.10135i −0.975493 0.220031i \(-0.929384\pi\)
0.472524 0.881318i \(-0.343343\pi\)
\(212\) 0.0428673 0.145993i 0.00294414 0.0100268i
\(213\) 2.72842 + 1.24603i 0.186949 + 0.0853766i
\(214\) −12.9328 11.2063i −0.884067 0.766048i
\(215\) −22.1901 3.19045i −1.51335 0.217587i
\(216\) 0.791802 + 2.69663i 0.0538753 + 0.183482i
\(217\) −16.0066 18.2999i −1.08660 1.24228i
\(218\) 5.62687 + 8.75558i 0.381100 + 0.593002i
\(219\) 1.66873 1.07242i 0.112762 0.0724678i
\(220\) −0.132006 + 0.114383i −0.00889981 + 0.00771173i
\(221\) −6.67160 22.7214i −0.448781 1.52841i
\(222\) 1.07698 7.49056i 0.0722822 0.502734i
\(223\) −14.1830 12.2896i −0.949761 0.822972i 0.0345524 0.999403i \(-0.488999\pi\)
−0.984313 + 0.176431i \(0.943545\pi\)
\(224\) −0.341089 0.153856i −0.0227900 0.0102800i
\(225\) −1.22848 0.360715i −0.0818987 0.0240476i
\(226\) −16.8765 + 7.70723i −1.12261 + 0.512678i
\(227\) 4.01755 + 27.9427i 0.266654 + 1.85462i 0.479511 + 0.877536i \(0.340814\pi\)
−0.212857 + 0.977083i \(0.568277\pi\)
\(228\) 0.0686924 0.106887i 0.00454926 0.00707879i
\(229\) 8.34445 0.551417 0.275708 0.961241i \(-0.411088\pi\)
0.275708 + 0.961241i \(0.411088\pi\)
\(230\) −11.2164 6.88743i −0.739584 0.454144i
\(231\) −0.0445884 9.58343i −0.00293370 0.630544i
\(232\) −1.55803 1.00129i −0.102290 0.0657377i
\(233\) 0.642081 + 4.46577i 0.0420641 + 0.292562i 0.999985 + 0.00552898i \(0.00175994\pi\)
−0.957921 + 0.287033i \(0.907331\pi\)
\(234\) −5.11219 + 2.33466i −0.334195 + 0.152622i
\(235\) −4.69623 + 15.9939i −0.306348 + 1.04333i
\(236\) 0.0830136 + 0.0379111i 0.00540373 + 0.00246780i
\(237\) 7.56868 8.73472i 0.491639 0.567381i
\(238\) −22.3598 3.10875i −1.44937 0.201510i
\(239\) −2.40495 + 0.706158i −0.155563 + 0.0456775i −0.358587 0.933496i \(-0.616741\pi\)
0.203024 + 0.979174i \(0.434923\pi\)
\(240\) −5.90225 + 5.11433i −0.380989 + 0.330129i
\(241\) −5.39208 + 3.46528i −0.347334 + 0.223218i −0.702662 0.711524i \(-0.748006\pi\)
0.355328 + 0.934742i \(0.384369\pi\)
\(242\) 2.53862 1.63147i 0.163188 0.104875i
\(243\) 0.755750 0.654861i 0.0484814 0.0420093i
\(244\) 0.199063 0.0584503i 0.0127437 0.00374190i
\(245\) 1.79689 13.3804i 0.114799 0.854841i
\(246\) 3.30657 3.81599i 0.210819 0.243298i
\(247\) −18.2561 8.33728i −1.16161 0.530488i
\(248\) 7.27608 24.7800i 0.462031 1.57353i
\(249\) 1.32389 0.604600i 0.0838981 0.0383150i
\(250\) −2.45300 17.0610i −0.155141 1.07903i
\(251\) 19.7115 + 12.6678i 1.24418 + 0.799587i 0.986038 0.166520i \(-0.0532531\pi\)
0.258143 + 0.966107i \(0.416889\pi\)
\(252\) 0.000307774 0.0661501i 1.93879e−5 0.00416707i
\(253\) 13.3592 + 11.1044i 0.839883 + 0.698125i
\(254\) 17.7835 1.11584
\(255\) −6.25208 + 9.72843i −0.391520 + 0.609218i
\(256\) −0.0853847 0.593864i −0.00533654 0.0371165i
\(257\) 13.4785 6.15542i 0.840765 0.383964i 0.0519906 0.998648i \(-0.483443\pi\)
0.788774 + 0.614683i \(0.210716\pi\)
\(258\) −15.8710 4.66015i −0.988086 0.290128i
\(259\) −5.78528 + 12.8256i −0.359480 + 0.796942i
\(260\) −0.143928 0.124714i −0.00892602 0.00773444i
\(261\) −0.0937822 + 0.652270i −0.00580498 + 0.0403745i
\(262\) −4.75764 16.2030i −0.293928 1.00103i
\(263\) 17.4595 15.1288i 1.07660 0.932881i 0.0786530 0.996902i \(-0.474938\pi\)
0.997949 + 0.0640215i \(0.0203926\pi\)
\(264\) 8.56412 5.50383i 0.527085 0.338737i
\(265\) 6.34546 + 9.87373i 0.389799 + 0.606539i
\(266\) −14.4010 + 12.5964i −0.882985 + 0.772333i
\(267\) −1.77563 6.04724i −0.108667 0.370085i
\(268\) −0.115326 0.0165814i −0.00704468 0.00101287i
\(269\) −5.35499 4.64013i −0.326500 0.282914i 0.476150 0.879364i \(-0.342032\pi\)
−0.802650 + 0.596450i \(0.796577\pi\)
\(270\) 2.49649 + 1.14011i 0.151932 + 0.0693848i
\(271\) −4.46815 + 15.2171i −0.271421 + 0.924375i 0.705128 + 0.709080i \(0.250889\pi\)
−0.976549 + 0.215295i \(0.930929\pi\)
\(272\) −10.0864 22.0861i −0.611576 1.33917i
\(273\) 10.3357 1.53516i 0.625544 0.0929123i
\(274\) 4.03048 6.27155i 0.243490 0.378878i
\(275\) 4.63771i 0.279664i
\(276\) −0.0922122 0.0766483i −0.00555052 0.00461369i
\(277\) 10.6506 0.639931 0.319966 0.947429i \(-0.396329\pi\)
0.319966 + 0.947429i \(0.396329\pi\)
\(278\) −8.60888 + 13.3957i −0.516326 + 0.803419i
\(279\) −9.09573 + 1.30777i −0.544547 + 0.0782941i
\(280\) 13.0172 6.01810i 0.777925 0.359650i
\(281\) 1.49354 5.08652i 0.0890969 0.303436i −0.902873 0.429906i \(-0.858547\pi\)
0.991970 + 0.126470i \(0.0403648\pi\)
\(282\) −5.10924 + 11.1877i −0.304251 + 0.666216i
\(283\) −0.882429 + 1.01838i −0.0524550 + 0.0605362i −0.781371 0.624067i \(-0.785479\pi\)
0.728916 + 0.684603i \(0.240025\pi\)
\(284\) −0.0106729 + 0.0742317i −0.000633320 + 0.00440484i
\(285\) 2.76123 + 9.40387i 0.163561 + 0.557037i
\(286\) 13.3311 + 15.3850i 0.788287 + 0.909732i
\(287\) −7.87384 + 5.11213i −0.464778 + 0.301760i
\(288\) −0.118977 + 0.0764618i −0.00701078 + 0.00450556i
\(289\) −12.4112 14.3233i −0.730072 0.842548i
\(290\) −1.73531 + 0.509532i −0.101901 + 0.0299208i
\(291\) 9.81395 + 1.41103i 0.575304 + 0.0827163i
\(292\) 0.0374820 + 0.0324783i 0.00219347 + 0.00190065i
\(293\) 4.08815 8.95179i 0.238832 0.522969i −0.751822 0.659366i \(-0.770825\pi\)
0.990654 + 0.136396i \(0.0435521\pi\)
\(294\) 2.71733 9.58338i 0.158478 0.558914i
\(295\) −6.40346 + 2.92436i −0.372824 + 0.170263i
\(296\) −14.7938 + 2.12703i −0.859875 + 0.123631i
\(297\) −3.04722 1.95833i −0.176818 0.113634i
\(298\) 31.0280i 1.79740i
\(299\) −9.91110 + 16.1405i −0.573174 + 0.933428i
\(300\) 0.0320120i 0.00184821i
\(301\) 25.9488 + 16.5062i 1.49567 + 0.951403i
\(302\) −2.15392 14.9808i −0.123944 0.862049i
\(303\) 5.48100 + 12.0017i 0.314875 + 0.689481i
\(304\) −19.7444 5.79748i −1.13242 0.332508i
\(305\) −6.64809 + 14.5573i −0.380669 + 0.833548i
\(306\) −5.58761 + 6.44844i −0.319422 + 0.368633i
\(307\) −19.7199 2.83529i −1.12547 0.161819i −0.445659 0.895203i \(-0.647031\pi\)
−0.679815 + 0.733384i \(0.737940\pi\)
\(308\) 0.229591 0.0685760i 0.0130822 0.00390748i
\(309\) −8.37672 + 7.25847i −0.476535 + 0.412920i
\(310\) −13.6350 21.2164i −0.774414 1.20501i
\(311\) 11.9349 + 18.5710i 0.676765 + 1.05307i 0.994485 + 0.104882i \(0.0334464\pi\)
−0.317720 + 0.948185i \(0.602917\pi\)
\(312\) 7.26871 + 8.38853i 0.411509 + 0.474907i
\(313\) 11.7267 3.44326i 0.662831 0.194625i 0.0670226 0.997751i \(-0.478650\pi\)
0.595808 + 0.803127i \(0.296832\pi\)
\(314\) 4.60009 31.9943i 0.259598 1.80554i
\(315\) −3.87187 3.32358i −0.218155 0.187263i
\(316\) 0.262859 + 0.120044i 0.0147870 + 0.00675299i
\(317\) 11.6226 + 3.41271i 0.652792 + 0.191677i 0.591327 0.806432i \(-0.298604\pi\)
0.0614653 + 0.998109i \(0.480423\pi\)
\(318\) 3.59748 + 7.87738i 0.201736 + 0.441741i
\(319\) 2.36268 0.339701i 0.132284 0.0190196i
\(320\) 12.8135 + 8.23474i 0.716297 + 0.460336i
\(321\) 12.0255 0.671195
\(322\) 10.1410 + 14.9394i 0.565136 + 0.832540i
\(323\) −30.4704 −1.69542
\(324\) 0.0210336 + 0.0135175i 0.00116853 + 0.000750970i
\(325\) −5.00509 + 0.719624i −0.277633 + 0.0399176i
\(326\) 9.45025 + 20.6932i 0.523401 + 1.14609i
\(327\) −7.01757 2.06054i −0.388073 0.113948i
\(328\) −9.07112 4.14264i −0.500869 0.228739i
\(329\) 14.8942 17.3512i 0.821142 0.956605i
\(330\) 1.41479 9.84006i 0.0778815 0.541678i
\(331\) 21.3431 6.26690i 1.17312 0.344460i 0.363604 0.931554i \(-0.381546\pi\)
0.809519 + 0.587094i \(0.199728\pi\)
\(332\) 0.0238299 + 0.0275011i 0.00130783 + 0.00150932i
\(333\) 2.87510 + 4.47375i 0.157555 + 0.245160i
\(334\) 14.6741 + 22.8333i 0.802931 + 1.24939i
\(335\) 6.79227 5.88553i 0.371101 0.321561i
\(336\) 10.2655 3.06618i 0.560030 0.167274i
\(337\) −11.9857 1.72329i −0.652904 0.0938734i −0.192100 0.981375i \(-0.561530\pi\)
−0.460804 + 0.887502i \(0.652439\pi\)
\(338\) −2.42066 + 2.79359i −0.131666 + 0.151951i
\(339\) 5.41609 11.8596i 0.294162 0.644124i
\(340\) −0.277424 0.0814590i −0.0150454 0.00441773i
\(341\) 13.8274 + 30.2777i 0.748794 + 1.63963i
\(342\) 1.02914 + 7.15786i 0.0556498 + 0.387053i
\(343\) −9.79437 + 15.7185i −0.528846 + 0.848718i
\(344\) 32.6685i 1.76137i
\(345\) 9.12637 1.50382i 0.491347 0.0809631i
\(346\) 6.99945i 0.376293i
\(347\) −23.7935 15.2911i −1.27730 0.820871i −0.286747 0.958006i \(-0.592574\pi\)
−0.990552 + 0.137136i \(0.956210\pi\)
\(348\) −0.0163085 + 0.00234481i −0.000874226 + 0.000125695i
\(349\) 24.8251 11.3372i 1.32885 0.606868i 0.380707 0.924696i \(-0.375681\pi\)
0.948148 + 0.317828i \(0.102953\pi\)
\(350\) −1.33655 + 4.63147i −0.0714414 + 0.247562i
\(351\) 1.64063 3.59248i 0.0875704 0.191752i
\(352\) 0.387160 + 0.335476i 0.0206357 + 0.0178809i
\(353\) −15.3535 2.20750i −0.817183 0.117493i −0.278968 0.960300i \(-0.589992\pi\)
−0.538216 + 0.842807i \(0.680901\pi\)
\(354\) −4.98370 + 1.46335i −0.264881 + 0.0777760i
\(355\) −3.78832 4.37195i −0.201063 0.232039i
\(356\) 0.132565 0.0851943i 0.00702592 0.00451529i
\(357\) 13.3056 8.63874i 0.704208 0.457210i
\(358\) 3.18407 + 3.67462i 0.168284 + 0.194210i
\(359\) −2.71202 9.23629i −0.143135 0.487473i 0.856452 0.516227i \(-0.172664\pi\)
−0.999587 + 0.0287545i \(0.990846\pi\)
\(360\) 0.771402 5.36522i 0.0406565 0.282772i
\(361\) −4.46890 + 5.15738i −0.235205 + 0.271441i
\(362\) 8.91232 19.5153i 0.468421 1.02570i
\(363\) −0.597440 + 2.03469i −0.0313575 + 0.106794i
\(364\) 0.109634 + 0.237138i 0.00574636 + 0.0124294i
\(365\) −3.78675 + 0.544452i −0.198207 + 0.0284979i
\(366\) −6.38389 + 9.93352i −0.333691 + 0.519234i
\(367\) −0.520178 −0.0271531 −0.0135765 0.999908i \(-0.504322\pi\)
−0.0135765 + 0.999908i \(0.504322\pi\)
\(368\) −7.70343 + 17.8269i −0.401569 + 0.929293i
\(369\) 3.54826i 0.184715i
\(370\) −7.89074 + 12.2782i −0.410220 + 0.638315i
\(371\) −2.36553 15.9263i −0.122812 0.826850i
\(372\) −0.0954442 0.208994i −0.00494855 0.0108358i
\(373\) 10.3807 35.3533i 0.537490 1.83052i −0.0192169 0.999815i \(-0.506117\pi\)
0.556707 0.830709i \(-0.312065\pi\)
\(374\) 28.1138 + 12.8391i 1.45373 + 0.663896i
\(375\) 9.15404 + 7.93202i 0.472713 + 0.409608i
\(376\) 24.0435 + 3.45693i 1.23995 + 0.178278i
\(377\) 0.733223 + 2.49713i 0.0377629 + 0.128609i
\(378\) −2.47874 2.83387i −0.127493 0.145759i
\(379\) −8.61363 13.4031i −0.442453 0.688470i 0.546374 0.837541i \(-0.316008\pi\)
−0.988826 + 0.149072i \(0.952371\pi\)
\(380\) −0.206147 + 0.132483i −0.0105751 + 0.00679623i
\(381\) −9.44457 + 8.18377i −0.483860 + 0.419267i
\(382\) −3.61256 12.3033i −0.184835 0.629489i
\(383\) 2.53119 17.6048i 0.129338 0.899565i −0.817058 0.576556i \(-0.804396\pi\)
0.946396 0.323009i \(-0.104694\pi\)
\(384\) 8.70715 + 7.54479i 0.444335 + 0.385018i
\(385\) −7.59989 + 16.8485i −0.387326 + 0.858677i
\(386\) 16.7830 + 4.92794i 0.854234 + 0.250826i
\(387\) 10.5734 4.82872i 0.537478 0.245458i
\(388\) 0.0352796 + 0.245375i 0.00179105 + 0.0124570i
\(389\) 3.67229 5.71419i 0.186192 0.289721i −0.735591 0.677426i \(-0.763096\pi\)
0.921784 + 0.387705i \(0.126732\pi\)
\(390\) 10.8391 0.548859
\(391\) −3.50779 + 28.5412i −0.177396 + 1.44339i
\(392\) −19.6725 + 0.183062i −0.993609 + 0.00924604i
\(393\) 9.98317 + 6.41579i 0.503584 + 0.323634i
\(394\) −3.06250 21.3002i −0.154287 1.07309i
\(395\) −20.2763 + 9.25987i −1.02021 + 0.465914i
\(396\) 0.0255153 0.0868970i 0.00128219 0.00436674i
\(397\) 15.3027 + 6.98850i 0.768020 + 0.350743i 0.760593 0.649230i \(-0.224909\pi\)
0.00742726 + 0.999972i \(0.497636\pi\)
\(398\) −2.48457 + 2.86735i −0.124540 + 0.143727i
\(399\) 1.85149 13.3170i 0.0926905 0.666682i
\(400\) −4.97459 + 1.46067i −0.248729 + 0.0730335i
\(401\) −6.13210 + 5.31350i −0.306223 + 0.265343i −0.794392 0.607406i \(-0.792210\pi\)
0.488169 + 0.872749i \(0.337665\pi\)
\(402\) 5.57860 3.58515i 0.278235 0.178811i
\(403\) −30.5307 + 19.6209i −1.52084 + 0.977386i
\(404\) −0.249311 + 0.216029i −0.0124037 + 0.0107479i
\(405\) −1.85052 + 0.543361i −0.0919530 + 0.0269998i
\(406\) 2.45739 + 0.341658i 0.121958 + 0.0169562i
\(407\) 12.6145 14.5579i 0.625278 0.721610i
\(408\) 15.3288 + 7.00045i 0.758891 + 0.346574i
\(409\) 9.07159 30.8950i 0.448561 1.52766i −0.356401 0.934333i \(-0.615996\pi\)
0.804962 0.593326i \(-0.202185\pi\)
\(410\) −8.85821 + 4.04541i −0.437476 + 0.199788i
\(411\) 0.745564 + 5.18551i 0.0367760 + 0.255783i
\(412\) −0.233136 0.149827i −0.0114858 0.00738147i
\(413\) 9.65699 0.0449306i 0.475189 0.00221089i
\(414\) 6.82316 0.139966i 0.335340 0.00687897i
\(415\) −2.80697 −0.137789
\(416\) −0.301977 + 0.469885i −0.0148056 + 0.0230380i
\(417\) −1.59248 11.0760i −0.0779843 0.542393i
\(418\) 23.8270 10.8814i 1.16541 0.532227i
\(419\) −26.8897 7.89552i −1.31365 0.385722i −0.451451 0.892296i \(-0.649093\pi\)
−0.862196 + 0.506574i \(0.830912\pi\)
\(420\) 0.0524586 0.116297i 0.00255972 0.00567473i
\(421\) 19.9036 + 17.2465i 0.970041 + 0.840545i 0.987229 0.159307i \(-0.0509259\pi\)
−0.0171880 + 0.999852i \(0.505471\pi\)
\(422\) −3.56175 + 24.7725i −0.173383 + 1.20591i
\(423\) −2.43500 8.29283i −0.118394 0.403211i
\(424\) 12.9259 11.2003i 0.627736 0.543937i
\(425\) −6.45829 + 4.15049i −0.313273 + 0.201328i
\(426\) −2.30764 3.59076i −0.111805 0.173973i
\(427\) 16.5246 14.4538i 0.799682 0.699469i
\(428\) 0.0847080 + 0.288489i 0.00409452 + 0.0139446i
\(429\) −14.1600 2.03590i −0.683650 0.0982940i
\(430\) 24.1097 + 20.8912i 1.16267 + 1.00746i
\(431\) 23.0534 + 10.5281i 1.11044 + 0.507122i 0.884275 0.466967i \(-0.154653\pi\)
0.226167 + 0.974089i \(0.427381\pi\)
\(432\) 1.14084 3.88535i 0.0548888 0.186934i
\(433\) −7.81419 17.1107i −0.375526 0.822287i −0.999176 0.0405835i \(-0.987078\pi\)
0.623650 0.781703i \(-0.285649\pi\)
\(434\) 5.08299 + 34.2219i 0.243991 + 1.64270i
\(435\) 0.687117 1.06917i 0.0329447 0.0512630i
\(436\) 0.182865i 0.00875766i
\(437\) 16.3341 + 18.0873i 0.781368 + 0.865235i
\(438\) −2.82274 −0.134876
\(439\) −16.5158 + 25.6991i −0.788255 + 1.22655i 0.181721 + 0.983350i \(0.441833\pi\)
−0.969976 + 0.243199i \(0.921803\pi\)
\(440\) −19.4341 + 2.79420i −0.926484 + 0.133208i
\(441\) 2.96703 + 6.34009i 0.141287 + 0.301909i
\(442\) −9.49386 + 32.3331i −0.451577 + 1.53793i
\(443\) 6.13047 13.4239i 0.291267 0.637786i −0.706269 0.707944i \(-0.749623\pi\)
0.997536 + 0.0701575i \(0.0223502\pi\)
\(444\) −0.0870723 + 0.100487i −0.00413227 + 0.00476889i
\(445\) −1.72988 + 12.0316i −0.0820043 + 0.570353i
\(446\) 7.52382 + 25.6238i 0.356263 + 1.21332i
\(447\) 14.2788 + 16.4786i 0.675362 + 0.779409i
\(448\) −11.3783 17.5251i −0.537572 0.827983i
\(449\) 0.438166 0.281592i 0.0206783 0.0132891i −0.530261 0.847835i \(-0.677906\pi\)
0.550939 + 0.834545i \(0.314270\pi\)
\(450\) 1.19313 + 1.37695i 0.0562448 + 0.0649099i
\(451\) 12.3320 3.62101i 0.580693 0.170507i
\(452\) 0.322661 + 0.0463917i 0.0151767 + 0.00218208i
\(453\) 8.03792 + 6.96490i 0.377655 + 0.327239i
\(454\) 16.6881 36.5418i 0.783209 1.71499i
\(455\) −19.3624 5.58759i −0.907723 0.261950i
\(456\) 12.9915 5.93301i 0.608381 0.277839i
\(457\) 18.0033 2.58848i 0.842158 0.121084i 0.292284 0.956332i \(-0.405585\pi\)
0.549874 + 0.835247i \(0.314676\pi\)
\(458\) −9.98935 6.41977i −0.466772 0.299976i
\(459\) 5.99604i 0.279871i
\(460\) 0.100363 + 0.208347i 0.00467946 + 0.00971425i
\(461\) 15.0499i 0.700943i 0.936573 + 0.350472i \(0.113979\pi\)
−0.936573 + 0.350472i \(0.886021\pi\)
\(462\) −7.31960 + 11.5069i −0.340538 + 0.535348i
\(463\) 3.05618 + 21.2562i 0.142033 + 0.987859i 0.928793 + 0.370600i \(0.120848\pi\)
−0.786760 + 0.617259i \(0.788243\pi\)
\(464\) 1.10851 + 2.42731i 0.0514615 + 0.112685i
\(465\) 17.0049 + 4.99309i 0.788583 + 0.231549i
\(466\) 2.66707 5.84007i 0.123550 0.270536i
\(467\) 3.30781 3.81741i 0.153067 0.176649i −0.674037 0.738697i \(-0.735441\pi\)
0.827104 + 0.562049i \(0.189987\pi\)
\(468\) 0.0977399 + 0.0140529i 0.00451803 + 0.000649595i
\(469\) −11.8135 + 3.52854i −0.545496 + 0.162933i
\(470\) 17.9268 15.5337i 0.826903 0.716515i
\(471\) 12.2804 + 19.1087i 0.565850 + 0.880480i
\(472\) 5.54607 + 8.62986i 0.255279 + 0.397221i
\(473\) −27.5725 31.8203i −1.26778 1.46310i
\(474\) −15.7807 + 4.63363i −0.724831 + 0.212829i
\(475\) −0.925956 + 6.44016i −0.0424858 + 0.295495i
\(476\) 0.300968 + 0.258348i 0.0137948 + 0.0118414i
\(477\) −5.53565 2.52805i −0.253460 0.115751i
\(478\) 3.42231 + 1.00488i 0.156533 + 0.0459622i
\(479\) −1.76548 3.86587i −0.0806671 0.176636i 0.865001 0.501770i \(-0.167318\pi\)
−0.945668 + 0.325134i \(0.894591\pi\)
\(480\) 0.269988 0.0388184i 0.0123232 0.00177181i
\(481\) 17.6685 + 11.3549i 0.805616 + 0.517738i
\(482\) 9.12099 0.415450
\(483\) −12.2607 3.26733i −0.557881 0.148669i
\(484\) −0.0530205 −0.00241002
\(485\) −16.0866 10.3383i −0.730457 0.469436i
\(486\) −1.40854 + 0.202518i −0.0638927 + 0.00918639i
\(487\) −7.27953 15.9399i −0.329867 0.722308i 0.669931 0.742424i \(-0.266324\pi\)
−0.999798 + 0.0201157i \(0.993597\pi\)
\(488\) 22.3761 + 6.57022i 1.01292 + 0.297420i
\(489\) −14.5417 6.64096i −0.657597 0.300314i
\(490\) −12.4452 + 14.6356i −0.562219 + 0.661167i
\(491\) −1.85645 + 12.9119i −0.0837803 + 0.582705i 0.904080 + 0.427363i \(0.140557\pi\)
−0.987861 + 0.155343i \(0.950352\pi\)
\(492\) −0.0851224 + 0.0249942i −0.00383762 + 0.00112683i
\(493\) 2.58752 + 2.98616i 0.116536 + 0.134490i
\(494\) 15.4406 + 24.0260i 0.694705 + 1.08098i
\(495\) 3.77691 + 5.87699i 0.169760 + 0.264151i
\(496\) −28.1221 + 24.3679i −1.26272 + 1.09415i
\(497\) 2.27120 + 7.60394i 0.101877 + 0.341083i
\(498\) −2.05001 0.294747i −0.0918631 0.0132079i
\(499\) −15.7897 + 18.2223i −0.706845 + 0.815742i −0.989660 0.143432i \(-0.954186\pi\)
0.282815 + 0.959174i \(0.408732\pi\)
\(500\) −0.125807 + 0.275478i −0.00562624 + 0.0123197i
\(501\) −18.3009 5.37362i −0.817622 0.240076i
\(502\) −13.8512 30.3300i −0.618211 1.35369i
\(503\) −5.88442 40.9271i −0.262373 1.82485i −0.514892 0.857255i \(-0.672168\pi\)
0.252519 0.967592i \(-0.418741\pi\)
\(504\) −3.99096 + 6.27404i −0.177771 + 0.279468i
\(505\) 25.4466i 1.13236i
\(506\) −7.44950 23.5711i −0.331171 1.04786i
\(507\) 2.59760i 0.115363i
\(508\) −0.262856 0.168927i −0.0116623 0.00749493i
\(509\) −37.9634 + 5.45832i −1.68270 + 0.241936i −0.916319 0.400450i \(-0.868854\pi\)
−0.766381 + 0.642386i \(0.777945\pi\)
\(510\) 14.9690 6.83614i 0.662841 0.302709i
\(511\) 5.04240 + 1.45513i 0.223063 + 0.0643713i
\(512\) 9.21750 20.1835i 0.407360 0.891993i
\(513\) −3.84053 3.32784i −0.169564 0.146928i
\(514\) −20.8711 3.00081i −0.920584 0.132360i
\(515\) 20.5111 6.02261i 0.903828 0.265388i
\(516\) 0.190320 + 0.219641i 0.00837839 + 0.00966917i
\(517\) −26.3369 + 16.9257i −1.15830 + 0.744392i
\(518\) 16.7930 10.9029i 0.737842 0.479048i
\(519\) −3.22107 3.71731i −0.141389 0.163172i
\(520\) −6.03110 20.5400i −0.264481 0.900740i
\(521\) 4.51939 31.4331i 0.197998 1.37711i −0.612085 0.790792i \(-0.709669\pi\)
0.810083 0.586316i \(-0.199422\pi\)
\(522\) 0.614090 0.708698i 0.0268780 0.0310189i
\(523\) −11.0201 + 24.1307i −0.481877 + 1.05516i 0.500066 + 0.865987i \(0.333309\pi\)
−0.981943 + 0.189177i \(0.939418\pi\)
\(524\) −0.0835920 + 0.284688i −0.00365173 + 0.0124367i
\(525\) −1.42153 3.07477i −0.0620405 0.134194i
\(526\) −32.5405 + 4.67862i −1.41883 + 0.203998i
\(527\) −29.7889 + 46.3524i −1.29762 + 2.01914i
\(528\) −14.6678 −0.638335
\(529\) 18.8226 13.2178i 0.818374 0.574685i
\(530\) 16.7020i 0.725486i
\(531\) 1.97336 3.07061i 0.0856365 0.133253i
\(532\) 0.332514 0.0493884i 0.0144163 0.00214126i
\(533\) 5.82139 + 12.7471i 0.252153 + 0.552137i
\(534\) −2.52677 + 8.60538i −0.109344 + 0.372391i
\(535\) −21.0969 9.63463i −0.912098 0.416541i
\(536\) −9.89789 8.57657i −0.427524 0.370452i
\(537\) −3.38204 0.486263i −0.145946 0.0209838i
\(538\) 2.84074 + 9.67466i 0.122473 + 0.417104i
\(539\) 19.0072 16.7820i 0.818698 0.722852i
\(540\) −0.0260703 0.0405662i −0.00112189 0.00174569i
\(541\) 0.925855 0.595011i 0.0398056 0.0255815i −0.520587 0.853809i \(-0.674287\pi\)
0.560392 + 0.828227i \(0.310650\pi\)
\(542\) 17.0562 14.7793i 0.732625 0.634823i
\(543\) 4.24749 + 14.4656i 0.182277 + 0.620780i
\(544\) −0.120684 + 0.839377i −0.00517429 + 0.0359880i
\(545\) 10.6604 + 9.23731i 0.456642 + 0.395683i
\(546\) −13.5542 6.11394i −0.580066 0.261652i
\(547\) 22.7293 + 6.67394i 0.971837 + 0.285357i 0.728851 0.684673i \(-0.240055\pi\)
0.242986 + 0.970030i \(0.421873\pi\)
\(548\) −0.119148 + 0.0544131i −0.00508975 + 0.00232441i
\(549\) −1.18090 8.21335i −0.0503997 0.350537i
\(550\) 3.56800 5.55192i 0.152140 0.236735i
\(551\) 3.34876 0.142662
\(552\) −4.06178 12.8520i −0.172881 0.547016i
\(553\) 30.5784 0.142271i 1.30033 0.00604997i
\(554\) −12.7501 8.19398i −0.541699 0.348129i
\(555\) −1.45964 10.1520i −0.0619584 0.430930i
\(556\) 0.254494 0.116223i 0.0107929 0.00492897i
\(557\) 1.61221 5.49067i 0.0683113 0.232647i −0.918260 0.395978i \(-0.870406\pi\)
0.986571 + 0.163331i \(0.0522238\pi\)
\(558\) 11.8949 + 5.43220i 0.503550 + 0.229963i
\(559\) 30.0627 34.6942i 1.27152 1.46741i
\(560\) −20.4659 2.84543i −0.864844 0.120241i
\(561\) −20.8393 + 6.11897i −0.879835 + 0.258343i
\(562\) −5.70124 + 4.94016i −0.240492 + 0.208388i
\(563\) −19.0851 + 12.2653i −0.804341 + 0.516919i −0.877030 0.480436i \(-0.840479\pi\)
0.0726884 + 0.997355i \(0.476842\pi\)
\(564\) 0.181792 0.116830i 0.00765482 0.00491945i
\(565\) −19.0035 + 16.4666i −0.799482 + 0.692755i
\(566\) 1.83986 0.540232i 0.0773352 0.0227077i
\(567\) 2.62054 + 0.364341i 0.110053 + 0.0153009i
\(568\) −5.52045 + 6.37094i −0.231633 + 0.267319i
\(569\) 18.8193 + 8.59449i 0.788946 + 0.360300i 0.768793 0.639497i \(-0.220857\pi\)
0.0201527 + 0.999797i \(0.493585\pi\)
\(570\) 3.92929 13.3819i 0.164580 0.560508i
\(571\) −6.33950 + 2.89515i −0.265300 + 0.121158i −0.543624 0.839329i \(-0.682948\pi\)
0.278324 + 0.960487i \(0.410221\pi\)
\(572\) −0.0509028 0.354037i −0.00212835 0.0148030i
\(573\) 7.58040 + 4.87163i 0.316676 + 0.203515i
\(574\) 13.3590 0.0621547i 0.557593 0.00259429i
\(575\) 5.92583 + 1.60873i 0.247124 + 0.0670887i
\(576\) −7.89750 −0.329063
\(577\) −0.790946 + 1.23074i −0.0329275 + 0.0512362i −0.857327 0.514772i \(-0.827877\pi\)
0.824400 + 0.566008i \(0.191513\pi\)
\(578\) 3.83821 + 26.6953i 0.159648 + 1.11038i
\(579\) −11.1810 + 5.10620i −0.464667 + 0.212206i
\(580\) 0.0304895 + 0.00895252i 0.00126601 + 0.000371733i
\(581\) 3.51009 + 1.58331i 0.145623 + 0.0656867i
\(582\) −10.6630 9.23951i −0.441994 0.382990i
\(583\) −3.13711 + 21.8191i −0.129926 + 0.903654i
\(584\) 1.57063 + 5.34908i 0.0649932 + 0.221347i
\(585\) −5.75650 + 4.98803i −0.238002 + 0.206230i
\(586\) −11.7811 + 7.57122i −0.486671 + 0.312764i
\(587\) −0.846578 1.31730i −0.0349420 0.0543708i 0.823343 0.567544i \(-0.192106\pi\)
−0.858285 + 0.513173i \(0.828470\pi\)
\(588\) −0.131198 + 0.115839i −0.00541052 + 0.00477711i
\(589\) 13.1562 + 44.8060i 0.542093 + 1.84620i
\(590\) 9.91559 + 1.42565i 0.408218 + 0.0586929i
\(591\) 11.4286 + 9.90291i 0.470108 + 0.407351i
\(592\) 19.5884 + 8.94573i 0.805079 + 0.367667i
\(593\) −8.78324 + 29.9130i −0.360684 + 1.22838i 0.556814 + 0.830637i \(0.312024\pi\)
−0.917498 + 0.397741i \(0.869794\pi\)
\(594\) 2.14127 + 4.68873i 0.0878574 + 0.192381i
\(595\) −30.2640 + 4.49512i −1.24070 + 0.184282i
\(596\) −0.294738 + 0.458622i −0.0120729 + 0.0187859i
\(597\) 2.66618i 0.109120i
\(598\) 24.2824 11.6971i 0.992983 0.478330i
\(599\) 44.5651 1.82088 0.910441 0.413639i \(-0.135742\pi\)
0.910441 + 0.413639i \(0.135742\pi\)
\(600\) 1.94543 3.02714i 0.0794217 0.123583i
\(601\) −8.60352 + 1.23700i −0.350945 + 0.0504582i −0.315533 0.948915i \(-0.602183\pi\)
−0.0354116 + 0.999373i \(0.511274\pi\)
\(602\) −18.3650 39.7236i −0.748503 1.61902i
\(603\) −1.31287 + 4.47123i −0.0534643 + 0.182083i
\(604\) −0.110467 + 0.241890i −0.00449486 + 0.00984236i
\(605\) 2.67829 3.09091i 0.108888 0.125663i
\(606\) 2.67203 18.5843i 0.108544 0.754937i
\(607\) 5.74630 + 19.5701i 0.233235 + 0.794326i 0.990052 + 0.140700i \(0.0449352\pi\)
−0.756817 + 0.653627i \(0.773247\pi\)
\(608\) 0.470650 + 0.543159i 0.0190874 + 0.0220280i
\(609\) −1.46232 + 0.949416i −0.0592560 + 0.0384723i
\(610\) 19.1582 12.3122i 0.775693 0.498507i
\(611\) −22.3532 25.7969i −0.904312 1.04363i
\(612\) 0.143844 0.0422365i 0.00581456 0.00170731i
\(613\) 22.7573 + 3.27200i 0.919158 + 0.132155i 0.585624 0.810583i \(-0.300850\pi\)
0.333534 + 0.942738i \(0.391759\pi\)
\(614\) 21.4259 + 18.5656i 0.864678 + 0.749248i
\(615\) 2.84282 6.22491i 0.114634 0.251013i
\(616\) 25.8783 + 7.46794i 1.04266 + 0.300892i
\(617\) −6.25653 + 2.85726i −0.251878 + 0.115029i −0.537353 0.843357i \(-0.680576\pi\)
0.285475 + 0.958386i \(0.407849\pi\)
\(618\) 15.6123 2.24470i 0.628017 0.0902953i
\(619\) −28.6401 18.4059i −1.15114 0.739794i −0.181276 0.983432i \(-0.558023\pi\)
−0.969866 + 0.243638i \(0.921659\pi\)
\(620\) 0.443117i 0.0177960i
\(621\) −3.55927 + 3.21428i −0.142829 + 0.128984i
\(622\) 31.4139i 1.25958i
\(623\) 8.94979 14.0696i 0.358566 0.563688i
\(624\) −2.27598 15.8298i −0.0911119 0.633697i
\(625\) −7.04502 15.4264i −0.281801 0.617058i
\(626\) −16.6874 4.89985i −0.666961 0.195837i
\(627\) −7.64667 + 16.7439i −0.305379 + 0.668686i
\(628\) −0.371910 + 0.429208i −0.0148408 + 0.0171272i
\(629\) 31.5621 + 4.53795i 1.25846 + 0.180940i
\(630\) 2.07813 + 6.95755i 0.0827948 + 0.277196i
\(631\) −21.6672 + 18.7747i −0.862557 + 0.747410i −0.969040 0.246905i \(-0.920586\pi\)
0.106483 + 0.994315i \(0.466041\pi\)
\(632\) 17.5614 + 27.3261i 0.698555 + 1.08697i
\(633\) −9.50844 14.7954i −0.377927 0.588065i
\(634\) −11.2882 13.0273i −0.448311 0.517379i
\(635\) 23.1258 6.79036i 0.917721 0.269467i
\(636\) 0.0216541 0.150607i 0.000858640 0.00597197i
\(637\) 21.0607 + 17.9089i 0.834457 + 0.709575i
\(638\) −3.08977 1.41105i −0.122325 0.0558640i
\(639\) 2.87798 + 0.845052i 0.113851 + 0.0334297i
\(640\) −9.23064 20.2123i −0.364873 0.798960i
\(641\) −8.02303 + 1.15354i −0.316891 + 0.0455620i −0.298925 0.954277i \(-0.596628\pi\)
−0.0179656 + 0.999839i \(0.505719\pi\)
\(642\) −14.3960 9.25173i −0.568164 0.365137i
\(643\) −6.26910 −0.247229 −0.123615 0.992330i \(-0.539449\pi\)
−0.123615 + 0.992330i \(0.539449\pi\)
\(644\) −0.00798213 0.317148i −0.000314540 0.0124974i
\(645\) −22.4182 −0.882717
\(646\) 36.4769 + 23.4422i 1.43516 + 0.922323i
\(647\) 19.3260 2.77866i 0.759782 0.109240i 0.248475 0.968638i \(-0.420071\pi\)
0.511307 + 0.859398i \(0.329161\pi\)
\(648\) 1.16751 + 2.55650i 0.0458642 + 0.100429i
\(649\) −12.6857 3.72487i −0.497959 0.146214i
\(650\) 6.54537 + 2.98917i 0.256730 + 0.117245i
\(651\) −18.4480 15.8357i −0.723036 0.620648i
\(652\) 0.0568833 0.395632i 0.00222772 0.0154942i
\(653\) −17.3295 + 5.08841i −0.678156 + 0.199125i −0.602632 0.798019i \(-0.705881\pi\)
−0.0755245 + 0.997144i \(0.524063\pi\)
\(654\) 6.81564 + 7.86567i 0.266513 + 0.307572i
\(655\) −12.3738 19.2539i −0.483483 0.752314i
\(656\) 7.76807 + 12.0874i 0.303292 + 0.471932i
\(657\) 1.49912 1.29899i 0.0584862 0.0506786i
\(658\) −31.1793 + 9.31286i −1.21550 + 0.363053i
\(659\) 1.19346 + 0.171594i 0.0464906 + 0.00668435i 0.165521 0.986206i \(-0.447069\pi\)
−0.119030 + 0.992891i \(0.537979\pi\)
\(660\) −0.114383 + 0.132006i −0.00445237 + 0.00513831i
\(661\) 8.29407 18.1615i 0.322602 0.706399i −0.676959 0.736020i \(-0.736703\pi\)
0.999561 + 0.0296210i \(0.00943003\pi\)
\(662\) −30.3718 8.91796i −1.18043 0.346606i
\(663\) −9.83729 21.5407i −0.382049 0.836570i
\(664\) 0.582124 + 4.04876i 0.0225908 + 0.157122i
\(665\) −13.9175 + 21.8793i −0.539699 + 0.848441i
\(666\) 7.56759i 0.293238i
\(667\) 0.385513 3.13674i 0.0149271 0.121455i
\(668\) 0.476888i 0.0184513i
\(669\) −15.7876 10.1461i −0.610383 0.392269i
\(670\) −12.6592 + 1.82012i −0.489068 + 0.0703174i
\(671\) −27.3405 + 12.4860i −1.05547 + 0.482016i
\(672\) −0.359513 0.103748i −0.0138685 0.00400217i
\(673\) −0.273882 + 0.599718i −0.0105574 + 0.0231174i −0.914837 0.403823i \(-0.867681\pi\)
0.904280 + 0.426940i \(0.140409\pi\)
\(674\) 13.0226 + 11.2842i 0.501612 + 0.434650i
\(675\) −1.26731 0.182212i −0.0487789 0.00701334i
\(676\) 0.0623160 0.0182976i 0.00239677 0.000703755i
\(677\) −17.3084 19.9750i −0.665216 0.767701i 0.318404 0.947955i \(-0.396853\pi\)
−0.983620 + 0.180255i \(0.942308\pi\)
\(678\) −15.6079 + 10.0306i −0.599416 + 0.385221i
\(679\) 14.2848 + 22.0018i 0.548199 + 0.844351i
\(680\) −21.2835 24.5625i −0.816187 0.941930i
\(681\) 7.95331 + 27.0865i 0.304771 + 1.03796i
\(682\) 6.74094 46.8843i 0.258124 1.79529i
\(683\) 26.8596 30.9976i 1.02775 1.18609i 0.0454158 0.998968i \(-0.485539\pi\)
0.982337 0.187122i \(-0.0599158\pi\)
\(684\) 0.0527815 0.115575i 0.00201815 0.00441914i
\(685\) 2.84658 9.69456i 0.108762 0.370410i
\(686\) 23.8180 11.2817i 0.909377 0.430738i
\(687\) 8.25951 1.18754i 0.315120 0.0453074i
\(688\) 25.4476 39.5973i 0.970182 1.50963i
\(689\) −24.0343 −0.915635
\(690\) −12.0824 5.22107i −0.459968 0.198763i
\(691\) 12.7692i 0.485762i −0.970056 0.242881i \(-0.921908\pi\)
0.970056 0.242881i \(-0.0780924\pi\)
\(692\) 0.0664885 0.103458i 0.00252751 0.00393289i
\(693\) −1.40800 9.47954i −0.0534855 0.360098i
\(694\) 16.7196 + 36.6108i 0.634667 + 1.38973i
\(695\) −6.08014 + 20.7070i −0.230633 + 0.785463i
\(696\) −1.68467 0.769364i −0.0638573 0.0291627i
\(697\) 16.0790 + 13.9325i 0.609034 + 0.527731i
\(698\) −38.4410 5.52698i −1.45501 0.209199i
\(699\) 1.27109 + 4.32894i 0.0480771 + 0.163735i
\(700\) 0.0637501 0.0557612i 0.00240953 0.00210757i
\(701\) 6.27919 + 9.77060i 0.237162 + 0.369031i 0.939350 0.342961i \(-0.111430\pi\)
−0.702188 + 0.711991i \(0.747793\pi\)
\(702\) −4.72790 + 3.03844i −0.178443 + 0.114678i
\(703\) 20.4238 17.6973i 0.770297 0.667467i
\(704\) 8.05942 + 27.4479i 0.303751 + 1.03448i
\(705\) −2.37226 + 16.4994i −0.0893446 + 0.621405i
\(706\) 16.6817 + 14.4548i 0.627825 + 0.544013i
\(707\) −14.3535 + 31.8207i −0.539818 + 1.19674i
\(708\) 0.0875640 + 0.0257111i 0.00329086 + 0.000966283i
\(709\) −2.69834 + 1.23229i −0.101338 + 0.0462797i −0.465439 0.885080i \(-0.654104\pi\)
0.364101 + 0.931360i \(0.381376\pi\)
\(710\) 1.17155 + 8.14831i 0.0439675 + 0.305800i
\(711\) 6.24856 9.72295i 0.234339 0.364639i
\(712\) 17.7131 0.663826
\(713\) 43.4838 7.16516i 1.62848 0.268337i
\(714\) −22.5747 + 0.105032i −0.844836 + 0.00393073i
\(715\) 23.2105 + 14.9165i 0.868022 + 0.557844i
\(716\) −0.0121579 0.0845599i −0.000454361 0.00316015i
\(717\) −2.27998 + 1.04123i −0.0851473 + 0.0388855i
\(718\) −3.85927 + 13.1435i −0.144027 + 0.490510i
\(719\) −22.3824 10.2217i −0.834723 0.381205i −0.0482539 0.998835i \(-0.515366\pi\)
−0.786469 + 0.617630i \(0.788093\pi\)
\(720\) −5.11433 + 5.90225i −0.190600 + 0.219964i
\(721\) −29.0461 4.03836i −1.08173 0.150396i
\(722\) 9.31764 2.73591i 0.346767 0.101820i
\(723\) −4.84403 + 4.19738i −0.180152 + 0.156102i
\(724\) −0.317109 + 0.203794i −0.0117853 + 0.00757394i
\(725\) 0.709780 0.456148i 0.0263606 0.0169409i
\(726\) 2.28059 1.97615i 0.0846408 0.0733417i
\(727\) 18.4148 5.40707i 0.682967 0.200537i 0.0781977 0.996938i \(-0.475083\pi\)
0.604769 + 0.796401i \(0.293265\pi\)
\(728\) −4.04405 + 29.0871i −0.149882 + 1.07804i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) 4.95208 + 2.26154i 0.183285 + 0.0837034i
\(731\) 19.6359 66.8738i 0.726261 2.47342i
\(732\) 0.188719 0.0861851i 0.00697525 0.00318549i
\(733\) 2.06957 + 14.3942i 0.0764414 + 0.531661i 0.991678 + 0.128744i \(0.0410946\pi\)
−0.915236 + 0.402917i \(0.867996\pi\)
\(734\) 0.622719 + 0.400197i 0.0229850 + 0.0147715i
\(735\) −0.125623 13.4999i −0.00463369 0.497951i
\(736\) 0.562953 0.378323i 0.0207507 0.0139452i
\(737\) 16.8796 0.621768
\(738\) 2.72984 4.24772i 0.100487 0.156361i
\(739\) 2.85983 + 19.8906i 0.105201 + 0.731686i 0.972331 + 0.233606i \(0.0750525\pi\)
−0.867131 + 0.498080i \(0.834038\pi\)
\(740\) 0.233264 0.106528i 0.00857497 0.00391606i
\(741\) −19.2568 5.65431i −0.707416 0.207716i
\(742\) −9.42096 + 20.8856i −0.345854 + 0.766736i
\(743\) −39.0109 33.8031i −1.43117 1.24012i −0.926228 0.376964i \(-0.876968\pi\)
−0.504943 0.863153i \(-0.668486\pi\)
\(744\) 3.67545 25.5633i 0.134748 0.937196i
\(745\) −11.8476 40.3492i −0.434062 1.47828i
\(746\) −39.6259 + 34.3360i −1.45081 + 1.25713i
\(747\) 1.22437 0.786855i 0.0447974 0.0287895i
\(748\) −0.293587 0.456830i −0.0107346 0.0167033i
\(749\) 20.9469 + 23.9480i 0.765384 + 0.875041i
\(750\) −4.85607 16.5382i −0.177318 0.603891i
\(751\) −12.8616 1.84922i −0.469327 0.0674791i −0.0964060 0.995342i \(-0.530735\pi\)
−0.372921 + 0.927863i \(0.621644\pi\)
\(752\) −26.4501 22.9192i −0.964537 0.835776i
\(753\) 21.3137 + 9.73365i 0.776715 + 0.354714i
\(754\) 1.04340 3.55348i 0.0379982 0.129410i
\(755\) −8.52117 18.6588i −0.310117 0.679062i
\(756\) 0.00971878 + 0.0654330i 0.000353469 + 0.00237978i
\(757\) 15.2190 23.6812i 0.553143 0.860707i −0.446273 0.894897i \(-0.647249\pi\)
0.999415 + 0.0341901i \(0.0108852\pi\)
\(758\) 22.6720i 0.823485i
\(759\) 14.8035 + 9.09012i 0.537333 + 0.329950i
\(760\) −27.5451 −0.999165
\(761\) −0.140426 + 0.218508i −0.00509046 + 0.00792090i −0.843789 0.536674i \(-0.819680\pi\)
0.838699 + 0.544595i \(0.183317\pi\)
\(762\) 17.6025 2.53086i 0.637671 0.0916832i
\(763\) −8.12033 17.5643i −0.293976 0.635871i
\(764\) −0.0634729 + 0.216169i −0.00229637 + 0.00782072i
\(765\) −4.80394 + 10.5192i −0.173687 + 0.380321i
\(766\) −16.5744 + 19.1278i −0.598856 + 0.691116i
\(767\) 2.05152 14.2687i 0.0740762 0.515211i
\(768\) −0.169031 0.575667i −0.00609939 0.0207726i
\(769\) 17.7375 + 20.4702i 0.639630 + 0.738173i 0.979309 0.202369i \(-0.0648639\pi\)
−0.339679 + 0.940541i \(0.610318\pi\)
\(770\) 22.0603 14.3228i 0.794998 0.516157i
\(771\) 12.4653 8.01095i 0.448926 0.288507i
\(772\) −0.201257 0.232263i −0.00724340 0.00835933i