Properties

Label 483.2.r.a.412.9
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 412.9
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19713 - 0.769346i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(0.0103865 + 0.0227432i) q^{4} +(1.85052 + 0.543361i) q^{5} +(1.29443 + 0.591146i) q^{6} +(1.99144 + 1.74188i) q^{7} +(-0.399972 + 2.78187i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(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} +(1.99144 + 1.74188i) 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} +(-1.04390 - 3.61736i) 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} +(-2.21907 - 1.44074i) 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} +(-0.0189319 + 0.0633839i) 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} +(2.73873 + 4.30546i) 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} +(1.54808 + 3.43198i) 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} +(0.931688 + 6.93772i) 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} +(-5.64221 + 4.84322i) 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} +(2.40152 + 1.11027i) 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} +(1.40800 - 9.47954i) 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} +(0.00971878 - 0.0654330i) 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} +(4.22216 - 9.02211i) 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 0.667976 0.744183i \(-0.267161\pi\)
0.159601 + 0.987182i \(0.448979\pi\)
\(6\) 1.29443 + 0.591146i 0.528449 + 0.241334i
\(7\) 1.99144 + 1.74188i 0.752695 + 0.658370i
\(8\) −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 −0.961823 0.273672i \(-0.911762\pi\)
0.134005 + 0.990981i \(0.457216\pi\)
\(14\) −1.04390 3.61736i −0.278993 0.966780i
\(15\) −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 \(0.395508\pi\)
−0.926525 + 0.376233i \(0.877219\pi\)
\(18\) −1.36538 0.400913i −0.321824 0.0944960i
\(19\) 2.11104 + 4.62252i 0.484305 + 1.06048i 0.981257 + 0.192702i \(0.0617250\pi\)
−0.496953 + 0.867778i \(0.665548\pi\)
\(20\) 0.00686259 + 0.0477303i 0.00153452 + 0.0106728i
\(21\) −2.21907 1.44074i −0.484240 0.314396i
\(22\) 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
\(28\) −0.0189319 + 0.0633839i −0.00357780 + 0.0119784i
\(29\) −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 0.897202 0.441621i \(-0.145596\pi\)
0.736440 + 0.676503i \(0.236505\pi\)
\(32\) −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
\(35\) 2.73873 + 4.30546i 0.462930 + 0.727755i
\(36\) 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 −0.843867 0.536552i \(-0.819727\pi\)
0.999988 + 0.00485291i \(0.00154473\pi\)
\(42\) 1.54808 + 3.43198i 0.238873 + 0.529566i
\(43\) 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 \(0.217089\pi\)
−0.776311 + 0.630351i \(0.782911\pi\)
\(48\) −2.18926 + 3.40656i −0.315992 + 0.491694i
\(49\) 0.931688 + 6.93772i 0.133098 + 0.991103i
\(50\) 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
\(56\) −5.64221 + 4.84322i −0.753971 + 0.647203i
\(57\) −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 −0.815672 0.578515i \(-0.803633\pi\)
0.456544 + 0.889701i \(0.349087\pi\)
\(60\) −0.0135855 0.0462679i −0.00175388 0.00597316i
\(61\) −1.18090 + 8.21335i −0.151199 + 1.05161i 0.763015 + 0.646381i \(0.223718\pi\)
−0.914214 + 0.405231i \(0.867191\pi\)
\(62\) −9.88261 8.56333i −1.25509 1.08754i
\(63\) 2.40152 + 1.11027i 0.302563 + 0.139881i
\(64\) −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 −0.518199 0.855260i \(-0.673397\pi\)
0.307014 + 0.951705i \(0.400670\pi\)
\(74\) 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
\(77\) 1.40800 9.47954i 0.160456 1.08029i
\(78\) −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 −0.357473 0.933923i \(-0.616362\pi\)
0.204192 + 0.978931i \(0.434543\pi\)
\(84\) 0.00971878 0.0654330i 0.00106041 0.00713933i
\(85\) −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 \(0.0629554\pi\)
−0.885429 + 0.464774i \(0.846136\pi\)
\(90\) −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 −0.239522 0.970891i \(-0.576991\pi\)
−0.726402 + 0.687270i \(0.758809\pi\)
\(98\) 4.22216 9.02211i 0.426502 0.911371i
\(99\) −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 \(-0.862976\pi\)
0.538894 0.842374i \(-0.318842\pi\)
\(102\) −6.44844 + 5.58761i −0.638491 + 0.553256i
\(103\) 9.32445 5.99246i 0.918765 0.590455i 0.00646614 0.999979i \(-0.497942\pi\)
0.912299 + 0.409525i \(0.134305\pi\)
\(104\) −6.00091 9.33760i −0.588437 0.915627i
\(105\) −3.32358 3.87187i −0.324348 0.377856i
\(106\) 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
\(112\) 10.6116 1.47536i 1.00270 0.139408i
\(113\) 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
\(119\) −14.4609 + 6.52294i −1.32563 + 0.597957i
\(120\) 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
\(126\) −2.02074 3.17673i −0.180022 0.283006i
\(127\) −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 0.168201 0.985753i \(-0.446204\pi\)
−0.951782 + 0.306776i \(0.900750\pi\)
\(132\) −0.0376223 + 0.0823813i −0.00327460 + 0.00717037i
\(133\) −3.84789 + 12.8827i −0.333654 + 1.11707i
\(134\) 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 \(0.157391\pi\)
−0.880225 + 0.474556i \(0.842609\pi\)
\(140\) −0.0694742 + 0.107006i −0.00587164 + 0.00904366i
\(141\) −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
\(147\) −1.90955 6.73451i −0.157497 0.555453i
\(148\) −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
\(154\) −8.97860 + 10.2650i −0.723516 + 0.827174i
\(155\) 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 \(-0.775178\pi\)
0.00769782 0.999970i \(-0.497550\pi\)
\(158\) −16.2795 + 2.34064i −1.29513 + 0.186211i
\(159\) 5.11953 + 3.29012i 0.406005 + 0.260924i
\(160\) −0.272764 −0.0215639
\(161\) −11.6241 5.08734i −0.916105 0.400939i
\(162\) −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 0.951619 0.307279i \(-0.0994186\pi\)
0.390952 + 0.920411i \(0.372146\pi\)
\(168\) 4.89551 5.59689i 0.377697 0.431810i
\(169\) 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 0.927506 0.373807i \(-0.121948\pi\)
−0.725327 + 0.688404i \(0.758311\pi\)
\(174\) −0.708698 + 0.614090i −0.0537262 + 0.0465541i
\(175\) −0.939228 3.25466i −0.0709990 0.246029i
\(176\) −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 \(-0.856137\pi\)
0.740114 0.672482i \(-0.234772\pi\)
\(182\) 12.4713 + 8.09706i 0.924436 + 0.600194i
\(183\) 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
\(189\) −2.53508 0.757197i −0.184400 0.0550780i
\(190\) 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
\(196\) −0.148109 + 0.0932481i −0.0105792 + 0.00666058i
\(197\) 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 −0.998841 0.0481395i \(-0.984671\pi\)
0.971943 + 0.235216i \(0.0755799\pi\)
\(200\) 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
\(203\) −1.58929 + 0.716885i −0.111546 + 0.0503155i
\(204\) 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
\(210\) 0.999937 + 7.19210i 0.0690022 + 0.496302i
\(211\) −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
\(217\) 15.8357 + 18.4480i 1.07499 + 1.25234i
\(218\) 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 0.984313 0.176431i \(-0.0564551\pi\)
−0.0345524 + 0.999403i \(0.511001\pi\)
\(224\) −0.339643 0.157023i −0.0226933 0.0104916i
\(225\) −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 \(-0.659186\pi\)
0.212857 0.977083i \(-0.431723\pi\)
\(228\) 0.0686924 0.106887i 0.00454926 0.00707879i
\(229\) −8.34445 −0.551417 −0.275708 0.961241i \(-0.588912\pi\)
−0.275708 + 0.961241i \(0.588912\pi\)
\(230\) 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
\(238\) 22.3299 + 3.31667i 1.44744 + 0.214988i
\(239\) −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 −0.355328 0.934742i \(-0.615631\pi\)
0.702662 + 0.711524i \(0.251994\pi\)
\(242\) 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
\(245\) −2.04558 + 13.3446i −0.130687 + 0.852556i
\(246\) 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 −0.258143 0.966107i \(-0.583111\pi\)
−0.986038 + 0.166520i \(0.946747\pi\)
\(252\) −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 −0.788774 0.614683i \(-0.789284\pi\)
−0.0519906 + 0.998648i \(0.516557\pi\)
\(258\) 15.8710 + 4.66015i 0.988086 + 0.290128i
\(259\) −5.90437 + 12.7712i −0.366880 + 0.793563i
\(260\) −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
\(266\) 14.5176 12.4618i 0.890133 0.764083i
\(267\) −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 0.802650 0.596450i \(-0.203423\pi\)
−0.476150 + 0.879364i \(0.657968\pi\)
\(270\) 2.49649 + 1.14011i 0.151932 + 0.0693848i
\(271\) 4.46815 15.2171i 0.271421 0.924375i −0.705128 0.709080i \(-0.749111\pi\)
0.976549 0.215295i \(-0.0690712\pi\)
\(272\) 10.0864 + 22.0861i 0.611576 + 1.33917i
\(273\) 10.3495 1.43892i 0.626382 0.0870875i
\(274\) 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
\(280\) −13.0726 + 5.89671i −0.781238 + 0.352396i
\(281\) 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 −0.728916 0.684603i \(-0.759975\pi\)
0.781371 + 0.624067i \(0.214521\pi\)
\(284\) −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
\(287\) 7.92107 5.03864i 0.467566 0.297422i
\(288\) −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 −0.990654 0.136396i \(-0.956448\pi\)
0.751822 + 0.659366i \(0.229175\pi\)
\(294\) −2.89520 + 9.53116i −0.168852 + 0.555868i
\(295\) −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
\(301\) 25.7941 + 16.7470i 1.48675 + 0.965279i
\(302\) −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 0.679815 0.733384i \(-0.262060\pi\)
0.445659 + 0.895203i \(0.352969\pi\)
\(308\) 0.230219 0.0664366i 0.0131180 0.00378558i
\(309\) −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 \(-0.966554\pi\)
0.317720 0.948185i \(-0.397083\pi\)
\(312\) 7.26871 + 8.38853i 0.411509 + 0.474907i
\(313\) −11.7267 + 3.44326i −0.662831 + 0.194625i −0.595808 0.803127i \(-0.703168\pi\)
−0.0670226 + 0.997751i \(0.521350\pi\)
\(314\) −4.60009 + 31.9943i −0.259598 + 1.80554i
\(315\) 3.84078 + 3.35947i 0.216403 + 0.189285i
\(316\) 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
\(322\) 10.0015 + 15.0331i 0.557364 + 0.837763i
\(323\) −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
\(329\) −15.0550 + 17.2119i −0.830008 + 0.948923i
\(330\) 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
\(336\) −10.2936 + 2.97052i −0.561562 + 0.162055i
\(337\) −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
\(343\) −10.2293 + 15.4390i −0.552330 + 0.833626i
\(344\) 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 −0.948148 0.317828i \(-0.897047\pi\)
−0.380707 + 0.924696i \(0.624319\pi\)
\(350\) −1.37958 + 4.61883i −0.0737419 + 0.246887i
\(351\) 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 0.538216 0.842807i \(-0.319099\pi\)
0.278968 + 0.960300i \(0.410008\pi\)
\(354\) −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
\(357\) 13.3854 8.51455i 0.708432 0.450638i
\(358\) 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
\(364\) −0.107422 0.238148i −0.00563046 0.0124823i
\(365\) −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 \(-0.495678\pi\)
0.0135765 + 0.999908i \(0.495678\pi\)
\(368\) −7.70343 + 17.8269i −0.401569 + 0.929293i
\(369\) 3.54826i 0.184715i
\(370\) 7.89074 12.2782i 0.410220 0.638315i
\(371\) −2.21723 15.9476i −0.115113 0.827957i
\(372\) −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
\(378\) 2.45227 + 2.85682i 0.126131 + 0.146939i
\(379\) −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 \(0.195604\pi\)
−0.946396 + 0.323009i \(0.895306\pi\)
\(384\) −8.70715 7.54479i −0.444335 0.385018i
\(385\) 7.75634 16.7770i 0.395300 0.855035i
\(386\) 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 −0.00742726 0.999972i \(-0.502364\pi\)
−0.760593 + 0.649230i \(0.775091\pi\)
\(398\) 2.48457 2.86735i 0.124540 0.143727i
\(399\) 1.97533 13.2992i 0.0988900 0.665790i
\(400\) −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
\(406\) 2.45411 + 0.364510i 0.121795 + 0.0180903i
\(407\) 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 \(0.384004\pi\)
−0.804962 + 0.593326i \(0.797815\pi\)
\(410\) −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 0.862196 0.506574i \(-0.169088\pi\)
0.451451 + 0.892296i \(0.350907\pi\)
\(420\) 0.0535385 0.115804i 0.00261241 0.00565066i
\(421\) 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
\(427\) −16.6584 + 14.2994i −0.806156 + 0.691998i
\(428\) 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 \(0.0129217\pi\)
−0.623650 + 0.781703i \(0.714351\pi\)
\(434\) −4.76433 34.2677i −0.228695 1.64490i
\(435\) 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 \(-0.558167\pi\)
0.969976 0.243199i \(-0.0781969\pi\)
\(440\) 19.4341 2.79420i 0.926484 0.133208i
\(441\) 2.84853 + 6.39421i 0.135644 + 0.304486i
\(442\) −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
\(448\) −11.2147 17.6302i −0.529845 0.832950i
\(449\) 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
\(455\) −19.3096 5.76752i −0.905247 0.270386i
\(456\) 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 \(-0.886021\pi\)
0.936573 0.350472i \(-0.113979\pi\)
\(462\) 7.42635 11.4383i 0.345505 0.532156i
\(463\) 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 −0.827104 0.562049i \(-0.810013\pi\)
0.674037 + 0.738697i \(0.264559\pi\)
\(468\) −0.0977399 0.0140529i −0.00451803 0.000649595i
\(469\) −11.8458 + 3.41846i −0.546988 + 0.157850i
\(470\) 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
\(476\) −0.298551 0.261138i −0.0136841 0.0119692i
\(477\) −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 0.945668 0.325134i \(-0.105409\pi\)
−0.865001 + 0.501770i \(0.832682\pi\)
\(480\) 0.269988 0.0388184i 0.0123232 0.00177181i
\(481\) −17.6685 11.3549i −0.805616 0.517738i
\(482\) −9.12099 −0.415450
\(483\) 12.2298 + 3.38128i 0.556473 + 0.153854i
\(484\) −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
\(490\) 12.7154 14.4014i 0.574425 0.650590i
\(491\) −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
\(497\) 2.20035 + 7.62474i 0.0986990 + 0.342017i
\(498\) −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 \(0.327832\pi\)
−0.252519 + 0.967592i \(0.581259\pi\)
\(504\) −4.04916 + 6.23663i −0.180364 + 0.277802i
\(505\) 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 0.766381 0.642386i \(-0.222055\pi\)
0.916319 + 0.400450i \(0.131146\pi\)
\(510\) −14.9690 + 6.83614i −0.662841 + 0.302709i
\(511\) −5.02864 1.50199i −0.222454 0.0664441i
\(512\) 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
\(518\) 16.8937 10.7462i 0.742268 0.472161i
\(519\) −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 \(0.290331\pi\)
−0.810083 + 0.586316i \(0.800578\pi\)
\(522\) 0.614090 0.708698i 0.0268780 0.0310189i
\(523\) 11.0201 24.1307i 0.481877 1.05516i −0.500066 0.865987i \(-0.666691\pi\)
0.981943 0.189177i \(-0.0605819\pi\)
\(524\) 0.0835920 0.284688i 0.00365173 0.0124367i
\(525\) 1.39285 + 3.08787i 0.0607892 + 0.134766i
\(526\) −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
\(532\) −0.332959 + 0.0462922i −0.0144356 + 0.00200702i
\(533\) 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
\(539\) 19.3162 16.4254i 0.832008 0.707492i
\(540\) −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
\(546\) −13.4967 6.23979i −0.577606 0.267039i
\(547\) 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
\(560\) 20.4386 + 3.03575i 0.863687 + 0.128284i
\(561\) −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 −0.0726884 0.997355i \(-0.523158\pi\)
0.877030 + 0.480436i \(0.159521\pi\)
\(564\) 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
\(567\) 2.61704 + 0.388710i 0.109905 + 0.0163243i
\(568\) −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 −0.824400 0.566008i \(-0.808487\pi\)
0.857327 + 0.514772i \(0.172123\pi\)
\(578\) 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
\(581\) −3.49520 1.61590i −0.145005 0.0670389i
\(582\) −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 0.858285 0.513173i \(-0.171530\pi\)
−0.823343 + 0.567544i \(0.807894\pi\)
\(588\) 0.133331 0.113377i 0.00549848 0.00467559i
\(589\) 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 \(-0.687976\pi\)
0.917498 0.397741i \(-0.130206\pi\)
\(594\) −2.14127 4.68873i −0.0878574 0.192381i
\(595\) −30.3045 + 4.21332i −1.24236 + 0.172729i
\(596\) −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 0.0354116 0.999373i \(-0.488726\pi\)
0.315533 + 0.948915i \(0.397817\pi\)
\(602\) −17.9946 39.8928i −0.733405 1.62591i
\(603\) −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 \(-0.955065\pi\)
0.756817 0.653627i \(-0.226753\pi\)
\(608\) −0.470650 0.543159i −0.0190874 0.0220280i
\(609\) 1.47109 0.935768i 0.0596114 0.0379192i
\(610\) 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
\(616\) 25.8076 + 7.70841i 1.03982 + 0.310581i
\(617\) −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 0.969866 0.243638i \(-0.0783409\pi\)
0.181276 + 0.983432i \(0.441977\pi\)
\(620\) 0.443117i 0.0177960i
\(621\) 3.55927 3.21428i 0.142829 0.128984i
\(622\) 31.4139i 1.25958i
\(623\) −9.08032 + 13.9858i −0.363795 + 0.560327i
\(624\) −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
\(630\) −2.01330 6.97659i −0.0802119 0.277954i
\(631\) −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
\(637\) −20.7238 18.2977i −0.821108 0.724981i
\(638\) −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 \(-0.460551\pi\)
0.123615 + 0.992330i \(0.460551\pi\)
\(644\) −0.00503069 0.317208i −0.000198237 0.0124998i
\(645\) −22.4182 −0.882717
\(646\) 36.4769 + 23.4422i 1.43516 + 0.922323i
\(647\) −19.3260 + 2.77866i −0.759782 + 0.109240i −0.511307 0.859398i \(-0.670839\pi\)
−0.248475 + 0.968638i \(0.579929\pi\)
\(648\) 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
\(651\) −18.2999 16.0066i −0.717230 0.627349i
\(652\) 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
\(658\) 31.2646 9.02233i 1.21882 0.351727i
\(659\) 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 −0.999561 0.0296210i \(-0.990570\pi\)
0.676959 + 0.736020i \(0.263297\pi\)
\(662\) −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
\(665\) −14.1205 + 21.7488i −0.547570 + 0.843383i
\(666\) 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
\(672\) 0.358532 + 0.107089i 0.0138307 + 0.00413105i
\(673\) −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 0.983620 0.180255i \(-0.0576922\pi\)
−0.318404 + 0.947955i \(0.603147\pi\)
\(678\) 15.6079 10.0306i 0.599416 0.385221i
\(679\) −14.0794 22.1338i −0.540319 0.849415i
\(680\) −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
\(686\) 24.1236 10.6125i 0.921045 0.405188i
\(687\) 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 \(0.0780924\pi\)
−0.970056 + 0.242881i \(0.921908\pi\)
\(692\) −0.0664885 + 0.103458i −0.00252751 + 0.00393289i
\(693\) −1.31973 9.49223i −0.0501324 0.360580i
\(694\) 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
\(700\) 0.0642662 0.0551655i 0.00242903 0.00208506i
\(701\) 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
\(707\) 14.6489 31.6857i 0.550930 1.19166i
\(708\) 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 0.786469 0.617630i \(-0.211907\pi\)
0.0482539 + 0.998835i \(0.484634\pi\)
\(720\) 5.11433 5.90225i 0.190600 0.219964i
\(721\) 29.0073 + 4.30846i 1.08029 + 0.160455i
\(722\) 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 −0.604769 0.796401i \(-0.706735\pi\)
−0.0781977 + 0.996938i \(0.524917\pi\)
\(728\) 4.31453 29.0482i 0.159907 1.07660i
\(729\) 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 \(-0.958905\pi\)
0.915236 0.402917i \(-0.132004\pi\)
\(734\) −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
\(742\) −9.61489 + 20.7971i −0.352974 + 0.763484i
\(743\) −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
\(749\) 20.7232 + 24.1419i 0.757209 + 0.882125i
\(750\) −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
\(756\) −0.00910950 0.0655206i −0.000331309 0.00238296i
\(757\) 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 −0.838699 0.544595i \(-0.816683\pi\)
0.843789 + 0.536674i \(0.180320\pi\)
\(762\) −17.6025 + 2.53086i −0.637671 + 0.0916832i
\(763\) −7.95654 17.6391i −0.288046 0.638579i
\(764\) −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 0.339679 0.940541i \(-0.389682\pi\)
−0.979309 + 0.202369i \(0.935136\pi\)
\(770\) −22.1926 + 14.1169i −0.799767 + 0.508737i
\(771\) 12.4653 8.01095i 0.448926 0.288507i
\(772\) −0.201257 0.232263i −0.00724340 0.00835933i