Properties

Label 483.2.r.a.34.9
Level $483$
Weight $2$
Character 483.34
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 34.9
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.9

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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 −0.890480 0.455023i \(-0.849631\pi\)
0.0439843 + 0.999032i \(0.485995\pi\)
\(3\) −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 \(-0.448979\pi\)
0.667976 + 0.744183i \(0.267161\pi\)
\(6\) 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 0.409521 + 0.912301i \(0.365696\pi\)
−0.999979 + 0.00647023i \(0.997940\pi\)
\(12\) −0.0135175 + 0.0210336i −0.00390215 + 0.00607187i
\(13\) −2.98474 2.58629i −0.827818 0.717309i 0.134005 0.990981i \(-0.457216\pi\)
−0.961823 + 0.273672i \(0.911762\pi\)
\(14\) −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 −0.926525 0.376233i \(-0.877219\pi\)
0.322407 0.946601i \(-0.395508\pi\)
\(18\) −1.36538 + 0.400913i −0.321824 + 0.0944960i
\(19\) 2.11104 4.62252i 0.484305 1.06048i −0.496953 0.867778i \(-0.665548\pi\)
0.981257 0.192702i \(-0.0617250\pi\)
\(20\) 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 0.882511 0.470292i \(-0.155851\pi\)
−0.933345 + 0.358981i \(0.883124\pi\)
\(30\) 2.07416 1.79727i 0.378688 0.328135i
\(31\) 9.09573 1.30777i 1.63364 0.234882i 0.736440 0.676503i \(-0.236505\pi\)
0.897202 + 0.441621i \(0.145596\pi\)
\(32\) −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 −0.739810 0.672816i \(-0.765085\pi\)
0.986120 0.166037i \(-0.0530971\pi\)
\(38\) 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 \(-0.00154473\pi\)
−0.843867 + 0.536552i \(0.819727\pi\)
\(42\) 1.54808 3.43198i 0.238873 0.529566i
\(43\) 11.5055 + 1.65425i 1.75458 + 0.252270i 0.943194 0.332243i \(-0.107805\pi\)
0.811384 + 0.584513i \(0.198714\pi\)
\(44\) 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
\(49\) 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 −0.910792 0.412866i \(-0.864528\pi\)
0.279045 + 0.960278i \(0.409982\pi\)
\(54\) 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 0.456544 0.889701i \(-0.349087\pi\)
−0.815672 + 0.578515i \(0.803633\pi\)
\(60\) −0.0135855 + 0.0462679i −0.00175388 + 0.00597316i
\(61\) −1.18090 8.21335i −0.151199 1.05161i −0.914214 0.405231i \(-0.867191\pi\)
0.763015 0.646381i \(-0.223718\pi\)
\(62\) −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 0.652555 0.757741i \(-0.273697\pi\)
−0.960347 + 0.278808i \(0.910061\pi\)
\(68\) −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 −0.382277 0.924048i \(-0.624860\pi\)
0.681740 + 0.731594i \(0.261223\pi\)
\(72\) 0.399972 2.78187i 0.0471371 0.327846i
\(73\) −1.80436 0.824025i −0.211185 0.0964448i 0.307014 0.951705i \(-0.400670\pi\)
−0.518199 + 0.855260i \(0.673397\pi\)
\(74\) 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 0.988922 0.148438i \(-0.0474245\pi\)
−0.00618885 + 0.999981i \(0.501970\pi\)
\(80\) 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 \(-0.434543\pi\)
−0.357473 + 0.933923i \(0.616362\pi\)
\(84\) 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 −0.885429 0.464774i \(-0.846136\pi\)
0.980505 0.196493i \(-0.0629554\pi\)
\(90\) −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 \(-0.758809\pi\)
−0.239522 + 0.970891i \(0.576991\pi\)
\(98\) 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 0.538894 + 0.842374i \(0.318842\pi\)
−0.908768 + 0.417302i \(0.862976\pi\)
\(102\) −6.44844 5.58761i −0.638491 0.553256i
\(103\) 9.32445 + 5.99246i 0.918765 + 0.590455i 0.912299 0.409525i \(-0.134305\pi\)
0.00646614 + 0.999979i \(0.497942\pi\)
\(104\) −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 0.459553 0.888151i \(-0.348010\pi\)
0.691158 + 0.722703i \(0.257101\pi\)
\(108\) −0.0188958 + 0.0163733i −0.00181824 + 0.00157552i
\(109\) −6.65290 + 3.03828i −0.637232 + 0.291014i −0.707714 0.706499i \(-0.750273\pi\)
0.0704821 + 0.997513i \(0.477546\pi\)
\(110\) −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 0.996045 + 0.0888468i \(0.0283182\pi\)
−0.332954 + 0.942943i \(0.608045\pi\)
\(114\) 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 −0.0165182 0.999864i \(-0.505258\pi\)
−0.916370 + 0.400333i \(0.868894\pi\)
\(128\) 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 \(-0.900750\pi\)
0.168201 + 0.985753i \(0.446204\pi\)
\(132\) −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 \(-0.928156\pi\)
0.974637 0.223792i \(-0.0718437\pi\)
\(138\) −6.77363 + 0.832495i −0.576609 + 0.0708667i
\(139\) 11.1899i 0.949112i −0.880225 0.474556i \(-0.842609\pi\)
0.880225 0.474556i \(-0.157391\pi\)
\(140\) −0.0694742 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 0.104484 0.994527i \(-0.466681\pi\)
0.861249 0.508183i \(-0.169683\pi\)
\(150\) −0.985027 + 1.53273i −0.0804271 + 0.125147i
\(151\) 6.96490 8.03792i 0.566795 0.654117i −0.397917 0.917421i \(-0.630267\pi\)
0.964713 + 0.263304i \(0.0848124\pi\)
\(152\) −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 0.00769782 + 0.999970i \(0.497550\pi\)
−0.760768 + 0.649024i \(0.775178\pi\)
\(158\) −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 −0.948258 0.317499i \(-0.897157\pi\)
−0.105113 + 0.994460i \(0.533520\pi\)
\(164\) 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 \(-0.372146\pi\)
0.951619 + 0.307279i \(0.0994186\pi\)
\(168\) 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 −0.725327 0.688404i \(-0.758311\pi\)
0.927506 + 0.373807i \(0.121948\pi\)
\(174\) −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 −0.401946 0.915663i \(-0.631666\pi\)
0.156906 + 0.987613i \(0.449848\pi\)
\(180\) 0.0200318 0.0438635i 0.00149308 0.00326939i
\(181\) −2.14559 + 14.9229i −0.159480 + 1.10921i 0.740114 + 0.672482i \(0.234772\pi\)
−0.899594 + 0.436727i \(0.856137\pi\)
\(182\) 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 −0.372710 0.927948i \(-0.621572\pi\)
0.865460 + 0.500977i \(0.167026\pi\)
\(192\) 7.81712 1.12393i 0.564152 0.0811128i
\(193\) −11.7939 3.46300i −0.848944 0.249272i −0.171808 0.985130i \(-0.554961\pi\)
−0.677136 + 0.735858i \(0.736779\pi\)
\(194\) 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 −0.283939 0.958842i \(-0.591641\pi\)
0.989491 + 0.144591i \(0.0461867\pi\)
\(198\) 1.45220 4.94574i 0.103203 0.351478i
\(199\) −0.379437 2.63904i −0.0268976 0.187077i 0.971943 0.235216i \(-0.0755799\pi\)
−0.998841 + 0.0481395i \(0.984671\pi\)
\(200\) 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 0.472524 + 0.881318i \(0.343343\pi\)
−0.975493 + 0.220031i \(0.929384\pi\)
\(212\) 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 −0.0345524 0.999403i \(-0.511001\pi\)
0.984313 + 0.176431i \(0.0564551\pi\)
\(224\) −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 0.212857 + 0.977083i \(0.431723\pi\)
−0.479511 + 0.877536i \(0.659186\pi\)
\(228\) 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 −0.957921 0.287033i \(-0.907331\pi\)
0.999985 0.00552898i \(-0.00175994\pi\)
\(234\) 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 0.203024 0.979174i \(-0.434923\pi\)
−0.358587 + 0.933496i \(0.616741\pi\)
\(240\) −5.90225 5.11433i −0.380989 0.330129i
\(241\) 5.39208 + 3.46528i 0.347334 + 0.223218i 0.702662 0.711524i \(-0.251994\pi\)
−0.355328 + 0.934742i \(0.615631\pi\)
\(242\) 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 −0.986038 0.166520i \(-0.946747\pi\)
−0.258143 + 0.966107i \(0.583111\pi\)
\(252\) −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 \(-0.516557\pi\)
−0.788774 + 0.614683i \(0.789284\pi\)
\(258\) 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 0.997949 0.0640215i \(-0.0203926\pi\)
0.0786530 + 0.996902i \(0.474938\pi\)
\(264\) −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 −0.476150 0.879364i \(-0.657968\pi\)
0.802650 + 0.596450i \(0.203423\pi\)
\(270\) 2.49649 1.14011i 0.151932 0.0693848i
\(271\) 4.46815 + 15.2171i 0.271421 + 0.924375i 0.976549 + 0.215295i \(0.0690712\pi\)
−0.705128 + 0.709080i \(0.749111\pi\)
\(272\) 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 0.991970 0.126470i \(-0.0403648\pi\)
−0.902873 + 0.429906i \(0.858547\pi\)
\(282\) −5.10924 11.1877i −0.304251 0.666216i
\(283\) 0.882429 + 1.01838i 0.0524550 + 0.0605362i 0.781371 0.624067i \(-0.214521\pi\)
−0.728916 + 0.684603i \(0.759975\pi\)
\(284\) −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 0.751822 0.659366i \(-0.229175\pi\)
−0.990654 + 0.136396i \(0.956448\pi\)
\(294\) −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 0.445659 0.895203i \(-0.352969\pi\)
0.679815 + 0.733384i \(0.262060\pi\)
\(308\) 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 0.317720 + 0.948185i \(0.397083\pi\)
−0.994485 + 0.104882i \(0.966554\pi\)
\(312\) 7.26871 8.38853i 0.411509 0.474907i
\(313\) −11.7267 3.44326i −0.662831 0.194625i −0.0670226 0.997751i \(-0.521350\pi\)
−0.595808 + 0.803127i \(0.703168\pi\)
\(314\) −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 0.0614653 0.998109i \(-0.480423\pi\)
0.591327 + 0.806432i \(0.298604\pi\)
\(318\) −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 0.809519 0.587094i \(-0.199728\pi\)
0.363604 + 0.931554i \(0.381546\pi\)
\(332\) −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 −0.460804 0.887502i \(-0.652439\pi\)
−0.192100 + 0.981375i \(0.561530\pi\)
\(338\) −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 −0.990552 0.137136i \(-0.956210\pi\)
−0.286747 + 0.958006i \(0.592574\pi\)
\(348\) 0.0163085 + 0.00234481i 0.000874226 + 0.000125695i
\(349\) −24.8251 11.3372i −1.32885 0.606868i −0.380707 0.924696i \(-0.624319\pi\)
−0.948148 + 0.317828i \(0.897047\pi\)
\(350\) −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 0.278968 0.960300i \(-0.410008\pi\)
0.538216 + 0.842807i \(0.319099\pi\)
\(354\) −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 −0.999587 0.0287545i \(-0.990846\pi\)
0.856452 + 0.516227i \(0.172664\pi\)
\(360\) −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 0.556707 + 0.830709i \(0.312065\pi\)
−0.0192169 + 0.999815i \(0.506117\pi\)
\(374\) −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 −0.988826 0.149072i \(-0.952371\pi\)
0.546374 + 0.837541i \(0.316008\pi\)
\(380\) −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 −0.946396 0.323009i \(-0.895306\pi\)
0.817058 0.576556i \(-0.195604\pi\)
\(384\) −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 0.921784 0.387705i \(-0.126732\pi\)
−0.735591 + 0.677426i \(0.763096\pi\)
\(390\) −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 \(-0.775091\pi\)
−0.00742726 + 0.999972i \(0.502364\pi\)
\(398\) 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 0.488169 0.872749i \(-0.337665\pi\)
−0.794392 + 0.607406i \(0.792210\pi\)
\(402\) −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 −0.804962 0.593326i \(-0.797815\pi\)
0.356401 0.934333i \(-0.384004\pi\)
\(410\) −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 \(-0.350907\pi\)
0.862196 + 0.506574i \(0.169088\pi\)
\(420\) 0.0535385 + 0.115804i 0.00261241 + 0.00565066i
\(421\) 19.9036 17.2465i 0.970041 0.840545i −0.0171880 0.999852i \(-0.505471\pi\)
0.987229 + 0.159307i \(0.0509259\pi\)
\(422\) −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 0.226167 0.974089i \(-0.427381\pi\)
0.884275 + 0.466967i \(0.154653\pi\)
\(432\) −1.14084 3.88535i −0.0548888 0.186934i
\(433\) 7.81419 17.1107i 0.375526 0.822287i −0.623650 0.781703i \(-0.714351\pi\)
0.999176 0.0405835i \(-0.0129217\pi\)
\(434\) −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 0.969976 + 0.243199i \(0.0781969\pi\)
−0.181721 + 0.983350i \(0.558167\pi\)
\(440\) 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 0.997536 0.0701575i \(-0.0223502\pi\)
−0.706269 + 0.707944i \(0.749623\pi\)
\(444\) 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 0.550939 0.834545i \(-0.314270\pi\)
−0.530261 + 0.847835i \(0.677906\pi\)
\(450\) 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 0.549874 0.835247i \(-0.314676\pi\)
0.292284 + 0.956332i \(0.405585\pi\)
\(458\) 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 \(0.886021\pi\)
\(462\) 7.42635 + 11.4383i 0.345505 + 0.532156i
\(463\) 3.05618 21.2562i 0.142033 0.987859i −0.786760 0.617259i \(-0.788243\pi\)
0.928793 0.370600i \(-0.120848\pi\)
\(464\) 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 \(-0.264559\pi\)
−0.827104 + 0.562049i \(0.810013\pi\)
\(468\) −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 −0.865001 0.501770i \(-0.832682\pi\)
0.945668 + 0.325134i \(0.105409\pi\)
\(480\) 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 −0.999798 0.0201157i \(-0.993597\pi\)
0.669931 + 0.742424i \(0.266324\pi\)
\(488\) −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 −0.987861 0.155343i \(-0.950352\pi\)
0.904080 0.427363i \(-0.140557\pi\)
\(492\) −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 0.282815 0.959174i \(-0.408732\pi\)
−0.989660 + 0.143432i \(0.954186\pi\)
\(500\) 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 −0.252519 0.967592i \(-0.581259\pi\)
0.514892 0.857255i \(-0.327832\pi\)
\(504\) −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 0.916319 0.400450i \(-0.131146\pi\)
0.766381 + 0.642386i \(0.222055\pi\)
\(510\) −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 −0.810083 0.586316i \(-0.800578\pi\)
0.612085 0.790792i \(-0.290331\pi\)
\(522\) 0.614090 + 0.708698i 0.0268780 + 0.0310189i
\(523\) 11.0201 + 24.1307i 0.481877 + 1.05516i 0.981943 + 0.189177i \(0.0605819\pi\)
−0.500066 + 0.865987i \(0.666691\pi\)
\(524\) 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 0.560392 0.828227i \(-0.310650\pi\)
−0.520587 + 0.853809i \(0.674287\pi\)
\(542\) −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 0.242986 0.970030i \(-0.421873\pi\)
0.728851 + 0.684673i \(0.240055\pi\)
\(548\) −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 0.986571 0.163331i \(-0.0522238\pi\)
−0.918260 + 0.395978i \(0.870406\pi\)
\(558\) −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 0.877030 0.480436i \(-0.159521\pi\)
−0.0726884 + 0.997355i \(0.523158\pi\)
\(564\) 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 0.0201527 0.999797i \(-0.493585\pi\)
0.768793 + 0.639497i \(0.220857\pi\)
\(570\) −3.92929 13.3819i −0.164580 0.560508i
\(571\) −6.33950 2.89515i −0.265300 0.121158i 0.278324 0.960487i \(-0.410221\pi\)
−0.543624 + 0.839329i \(0.682948\pi\)
\(572\) 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 \(-0.172123\pi\)
−0.824400 + 0.566008i \(0.808487\pi\)
\(578\) 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 −0.823343 0.567544i \(-0.807894\pi\)
0.858285 + 0.513173i \(0.171530\pi\)
\(588\) 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 0.917498 + 0.397741i \(0.130206\pi\)
−0.556814 + 0.830637i \(0.687976\pi\)
\(594\) −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 0.315533 0.948915i \(-0.397817\pi\)
0.0354116 + 0.999373i \(0.488726\pi\)
\(602\) −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 0.756817 + 0.653627i \(0.226753\pi\)
−0.990052 + 0.140700i \(0.955065\pi\)
\(608\) −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 0.333534 0.942738i \(-0.391759\pi\)
0.585624 + 0.810583i \(0.300850\pi\)
\(614\) −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 0.285475 0.958386i \(-0.407849\pi\)
−0.537353 + 0.843357i \(0.680576\pi\)
\(618\) 15.6123 + 2.24470i 0.628017 + 0.0902953i
\(619\) 28.6401 18.4059i 1.15114 0.739794i 0.181276 0.983432i \(-0.441977\pi\)
0.969866 + 0.243638i \(0.0783409\pi\)
\(620\) 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 0.106483 0.994315i \(-0.466041\pi\)
−0.969040 + 0.246905i \(0.920586\pi\)
\(632\) 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 −0.0179656 0.999839i \(-0.505719\pi\)
−0.298925 + 0.954277i \(0.596628\pi\)
\(642\) 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 −0.248475 0.968638i \(-0.579929\pi\)
−0.511307 + 0.859398i \(0.670839\pi\)
\(648\) 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 −0.0755245 0.997144i \(-0.524063\pi\)
−0.602632 + 0.798019i \(0.705881\pi\)
\(654\) −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 −0.119030 0.992891i \(-0.537979\pi\)
0.165521 + 0.986206i \(0.447069\pi\)
\(660\) −0.114383 0.132006i −0.00445237 0.00513831i
\(661\) −8.29407 18.1615i −0.322602 0.706399i 0.676959 0.736020i \(-0.263297\pi\)
−0.999561 + 0.0296210i \(0.990570\pi\)
\(662\) −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 0.904280 0.426940i \(-0.140409\pi\)
−0.914837 + 0.403823i \(0.867681\pi\)
\(674\) 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 \(-0.603147\pi\)
0.983620 + 0.180255i \(0.0576922\pi\)
\(678\) 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 0.982337 + 0.187122i \(0.0599158\pi\)
0.0454158 + 0.998968i \(0.485539\pi\)
\(684\) −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 \(-0.921908\pi\)
0.970056 0.242881i \(-0.0780924\pi\)
\(692\) −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 −0.702188 0.711991i \(-0.747793\pi\)
0.939350 + 0.342961i \(0.111430\pi\)
\(702\) −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 0.364101 0.931360i \(-0.381376\pi\)
−0.465439 + 0.885080i \(0.654104\pi\)
\(710\) −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 \(-0.484634\pi\)
0.786469 + 0.617630i \(0.211907\pi\)
\(720\) 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 −0.0781977 0.996938i \(-0.524917\pi\)
−0.604769 + 0.796401i \(0.706735\pi\)
\(728\) 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 0.915236 + 0.402917i \(0.132004\pi\)
−0.991678 + 0.128744i \(0.958905\pi\)
\(734\) −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 −0.867131 0.498080i \(-0.834038\pi\)
0.972331 0.233606i \(-0.0750525\pi\)
\(740\) −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 −0.504943 + 0.863153i \(0.668486\pi\)
−0.926228 + 0.376964i \(0.876968\pi\)
\(744\) 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 −0.372921 0.927863i \(-0.621644\pi\)
−0.0964060 + 0.995342i \(0.530735\pi\)
\(752\) 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 0.999415 0.0341901i \(-0.0108852\pi\)
−0.446273 + 0.894897i \(0.647249\pi\)
\(758\) 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 \(-0.180320\pi\)
−0.838699 + 0.544595i \(0.816683\pi\)
\(762\) −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 −0.979309 0.202369i \(-0.935136\pi\)
0.339679 + 0.940541i \(0.389682\pi\)
\(770\) −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