Properties

Label 483.2.bf.a.61.28
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.28
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.66500 + 1.30937i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.586254 + 2.41657i) q^{4} +(2.07093 - 0.399138i) q^{5} +(-0.596759 - 2.03237i) q^{6} +(-0.0453823 - 2.64536i) q^{7} +(-0.428227 + 0.937687i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(1.66500 + 1.30937i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.586254 + 2.41657i) q^{4} +(2.07093 - 0.399138i) q^{5} +(-0.596759 - 2.03237i) q^{6} +(-0.0453823 - 2.64536i) q^{7} +(-0.428227 + 0.937687i) q^{8} +(0.327068 + 0.945001i) q^{9} +(3.97071 + 2.04704i) q^{10} +(2.42156 + 3.07926i) q^{11} +(0.924200 - 2.30854i) q^{12} +(-0.763770 - 1.18845i) q^{13} +(3.38819 - 4.46394i) q^{14} +(-1.91845 - 0.876126i) q^{15} +(2.47970 - 1.27837i) q^{16} +(-0.200736 - 0.191401i) q^{17} +(-0.692787 + 2.00168i) q^{18} +(0.417351 - 0.397943i) q^{19} +(2.17863 + 4.77054i) q^{20} +(-1.49749 + 2.18117i) q^{21} +8.29768i q^{22} +(2.38671 + 4.15976i) q^{23} +(0.892736 - 0.515421i) q^{24} +(-0.512420 + 0.205142i) q^{25} +(0.284443 - 2.97882i) q^{26} +(0.281733 - 0.959493i) q^{27} +(6.36610 - 1.66052i) q^{28} +(-5.20891 + 1.52947i) q^{29} +(-2.04704 - 3.97071i) q^{30} +(-0.233410 - 2.44438i) q^{31} +(7.82698 + 1.50853i) q^{32} +(-0.186396 - 3.91294i) q^{33} +(-0.0836100 - 0.581520i) q^{34} +(-1.14985 - 5.46023i) q^{35} +(-2.09192 + 1.34439i) q^{36} +(-3.04978 + 1.05554i) q^{37} +(1.21594 - 0.116108i) q^{38} +(-0.0672196 + 1.41111i) q^{39} +(-0.512560 + 2.11280i) q^{40} +(-4.70721 + 4.07882i) q^{41} +(-5.34928 + 1.67088i) q^{42} +(-3.42515 + 1.56421i) q^{43} +(-6.02161 + 7.65710i) q^{44} +(1.05452 + 1.82648i) q^{45} +(-1.47280 + 10.0511i) q^{46} +(1.68269 + 0.971502i) q^{47} +(-2.76143 - 0.397034i) q^{48} +(-6.99588 + 0.240105i) q^{49} +(-1.12179 - 0.329386i) q^{50} +(0.0524910 + 0.272349i) q^{51} +(2.42421 - 2.54244i) q^{52} +(-3.34927 - 0.159545i) q^{53} +(1.72541 - 1.22866i) q^{54} +(6.24392 + 5.41039i) q^{55} +(2.49996 + 1.09026i) q^{56} +(-0.570793 + 0.0820677i) q^{57} +(-10.6755 - 4.27381i) q^{58} +(3.02164 - 5.86116i) q^{59} +(0.992523 - 5.14970i) q^{60} +(-4.91704 - 6.90501i) q^{61} +(2.81197 - 4.37552i) q^{62} +(2.48503 - 0.908099i) q^{63} +(7.40279 + 8.54327i) q^{64} +(-2.05607 - 2.15634i) q^{65} +(4.81313 - 6.75909i) q^{66} +(3.71654 + 9.28346i) q^{67} +(0.344852 - 0.597302i) q^{68} +(0.468744 - 4.77287i) q^{69} +(5.23496 - 10.5969i) q^{70} +(1.43885 - 10.0074i) q^{71} +(-1.02617 - 0.0979878i) q^{72} +(2.40651 - 0.583814i) q^{73} +(-6.45996 - 2.23581i) q^{74} +(0.536399 + 0.130129i) q^{75} +(1.20633 + 0.775262i) q^{76} +(8.03587 - 6.54564i) q^{77} +(-1.95959 + 2.26148i) q^{78} +(-9.79682 + 0.466680i) q^{79} +(4.62502 - 3.63715i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-13.1782 + 0.627753i) q^{82} +(8.30677 - 9.58652i) q^{83} +(-6.14887 - 2.34008i) q^{84} +(-0.492104 - 0.316256i) q^{85} +(-7.75099 - 1.88037i) q^{86} +(5.13023 + 1.77559i) q^{87} +(-3.92436 + 0.952040i) q^{88} +(-12.8616 - 1.22813i) q^{89} +(-0.635765 + 4.42184i) q^{90} +(-3.10922 + 2.07438i) q^{91} +(-8.65314 + 8.20632i) q^{92} +(-1.22775 + 2.12653i) q^{93} +(1.52962 + 3.82081i) q^{94} +(0.705468 - 0.990691i) q^{95} +(-5.50064 - 5.76890i) q^{96} +(11.3221 + 13.0664i) q^{97} +(-11.9625 - 8.76041i) q^{98} +(-2.11789 + 3.29550i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.66500 + 1.30937i 1.17733 + 0.925864i 0.998318 0.0579829i \(-0.0184669\pi\)
0.179014 + 0.983847i \(0.442709\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 0.586254 + 2.41657i 0.293127 + 1.20829i
\(5\) 2.07093 0.399138i 0.926146 0.178500i 0.296188 0.955130i \(-0.404284\pi\)
0.629958 + 0.776630i \(0.283072\pi\)
\(6\) −0.596759 2.03237i −0.243626 0.829713i
\(7\) −0.0453823 2.64536i −0.0171529 0.999853i
\(8\) −0.428227 + 0.937687i −0.151401 + 0.331522i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 3.97071 + 2.04704i 1.25565 + 0.647331i
\(11\) 2.42156 + 3.07926i 0.730128 + 0.928433i 0.999400 0.0346313i \(-0.0110257\pi\)
−0.269273 + 0.963064i \(0.586783\pi\)
\(12\) 0.924200 2.30854i 0.266794 0.666418i
\(13\) −0.763770 1.18845i −0.211832 0.329617i 0.719036 0.694973i \(-0.244584\pi\)
−0.930868 + 0.365356i \(0.880947\pi\)
\(14\) 3.38819 4.46394i 0.905533 1.19304i
\(15\) −1.91845 0.876126i −0.495341 0.226215i
\(16\) 2.47970 1.27837i 0.619924 0.319593i
\(17\) −0.200736 0.191401i −0.0486856 0.0464216i 0.665346 0.746535i \(-0.268284\pi\)
−0.714031 + 0.700114i \(0.753133\pi\)
\(18\) −0.692787 + 2.00168i −0.163292 + 0.471800i
\(19\) 0.417351 0.397943i 0.0957468 0.0912944i −0.640694 0.767796i \(-0.721353\pi\)
0.736441 + 0.676502i \(0.236505\pi\)
\(20\) 2.17863 + 4.77054i 0.487157 + 1.06673i
\(21\) −1.49749 + 2.18117i −0.326780 + 0.475971i
\(22\) 8.29768i 1.76907i
\(23\) 2.38671 + 4.15976i 0.497663 + 0.867370i
\(24\) 0.892736 0.515421i 0.182229 0.105210i
\(25\) −0.512420 + 0.205142i −0.102484 + 0.0410284i
\(26\) 0.284443 2.97882i 0.0557839 0.584195i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) 6.36610 1.66052i 1.20308 0.313809i
\(29\) −5.20891 + 1.52947i −0.967270 + 0.284016i −0.726960 0.686680i \(-0.759067\pi\)
−0.240310 + 0.970696i \(0.577249\pi\)
\(30\) −2.04704 3.97071i −0.373737 0.724948i
\(31\) −0.233410 2.44438i −0.0419217 0.439024i −0.991929 0.126796i \(-0.959531\pi\)
0.950007 0.312228i \(-0.101075\pi\)
\(32\) 7.82698 + 1.50853i 1.38363 + 0.266672i
\(33\) −0.186396 3.91294i −0.0324474 0.681155i
\(34\) −0.0836100 0.581520i −0.0143390 0.0997299i
\(35\) −1.14985 5.46023i −0.194360 0.922948i
\(36\) −2.09192 + 1.34439i −0.348653 + 0.224065i
\(37\) −3.04978 + 1.05554i −0.501380 + 0.173529i −0.566040 0.824378i \(-0.691525\pi\)
0.0646594 + 0.997907i \(0.479404\pi\)
\(38\) 1.21594 0.116108i 0.197252 0.0188353i
\(39\) −0.0672196 + 1.41111i −0.0107637 + 0.225959i
\(40\) −0.512560 + 2.11280i −0.0810429 + 0.334063i
\(41\) −4.70721 + 4.07882i −0.735142 + 0.637004i −0.939759 0.341838i \(-0.888951\pi\)
0.204617 + 0.978842i \(0.434405\pi\)
\(42\) −5.34928 + 1.67088i −0.825412 + 0.257822i
\(43\) −3.42515 + 1.56421i −0.522330 + 0.238540i −0.659090 0.752064i \(-0.729058\pi\)
0.136760 + 0.990604i \(0.456331\pi\)
\(44\) −6.02161 + 7.65710i −0.907791 + 1.15435i
\(45\) 1.05452 + 1.82648i 0.157198 + 0.272276i
\(46\) −1.47280 + 10.0511i −0.217152 + 1.48195i
\(47\) 1.68269 + 0.971502i 0.245446 + 0.141708i 0.617677 0.786432i \(-0.288074\pi\)
−0.372231 + 0.928140i \(0.621407\pi\)
\(48\) −2.76143 0.397034i −0.398578 0.0573069i
\(49\) −6.99588 + 0.240105i −0.999412 + 0.0343007i
\(50\) −1.12179 0.329386i −0.158644 0.0465822i
\(51\) 0.0524910 + 0.272349i 0.00735021 + 0.0381365i
\(52\) 2.42421 2.54244i 0.336177 0.352573i
\(53\) −3.34927 0.159545i −0.460057 0.0219152i −0.183726 0.982978i \(-0.558816\pi\)
−0.276332 + 0.961062i \(0.589119\pi\)
\(54\) 1.72541 1.22866i 0.234799 0.167200i
\(55\) 6.24392 + 5.41039i 0.841930 + 0.729536i
\(56\) 2.49996 + 1.09026i 0.334071 + 0.145692i
\(57\) −0.570793 + 0.0820677i −0.0756034 + 0.0108701i
\(58\) −10.6755 4.27381i −1.40176 0.561179i
\(59\) 3.02164 5.86116i 0.393384 0.763058i −0.606093 0.795394i \(-0.707264\pi\)
0.999477 + 0.0323355i \(0.0102945\pi\)
\(60\) 0.992523 5.14970i 0.128134 0.664823i
\(61\) −4.91704 6.90501i −0.629562 0.884096i 0.369417 0.929264i \(-0.379557\pi\)
−0.998979 + 0.0451674i \(0.985618\pi\)
\(62\) 2.81197 4.37552i 0.357121 0.555691i
\(63\) 2.48503 0.908099i 0.313084 0.114410i
\(64\) 7.40279 + 8.54327i 0.925349 + 1.06791i
\(65\) −2.05607 2.15634i −0.255024 0.267461i
\(66\) 4.81313 6.75909i 0.592455 0.831987i
\(67\) 3.71654 + 9.28346i 0.454047 + 1.13416i 0.962068 + 0.272810i \(0.0879532\pi\)
−0.508020 + 0.861345i \(0.669623\pi\)
\(68\) 0.344852 0.597302i 0.0418195 0.0724335i
\(69\) 0.468744 4.77287i 0.0564302 0.574586i
\(70\) 5.23496 10.5969i 0.625698 1.26657i
\(71\) 1.43885 10.0074i 0.170760 1.18766i −0.706524 0.707689i \(-0.749738\pi\)
0.877284 0.479971i \(-0.159353\pi\)
\(72\) −1.02617 0.0979878i −0.120936 0.0115480i
\(73\) 2.40651 0.583814i 0.281661 0.0683302i −0.0924397 0.995718i \(-0.529467\pi\)
0.374101 + 0.927388i \(0.377951\pi\)
\(74\) −6.45996 2.23581i −0.750955 0.259908i
\(75\) 0.536399 + 0.130129i 0.0619381 + 0.0150260i
\(76\) 1.20633 + 0.775262i 0.138376 + 0.0889286i
\(77\) 8.03587 6.54564i 0.915772 0.745945i
\(78\) −1.95959 + 2.26148i −0.221880 + 0.256063i
\(79\) −9.79682 + 0.466680i −1.10223 + 0.0525056i −0.590798 0.806819i \(-0.701187\pi\)
−0.511430 + 0.859325i \(0.670884\pi\)
\(80\) 4.62502 3.63715i 0.517093 0.406646i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −13.1782 + 0.627753i −1.45528 + 0.0693238i
\(83\) 8.30677 9.58652i 0.911787 1.05226i −0.0866432 0.996239i \(-0.527614\pi\)
0.998430 0.0560184i \(-0.0178405\pi\)
\(84\) −6.14887 2.34008i −0.670896 0.255323i
\(85\) −0.492104 0.316256i −0.0533762 0.0343028i
\(86\) −7.75099 1.88037i −0.835811 0.202766i
\(87\) 5.13023 + 1.77559i 0.550019 + 0.190363i
\(88\) −3.92436 + 0.952040i −0.418338 + 0.101488i
\(89\) −12.8616 1.22813i −1.36333 0.130182i −0.612390 0.790556i \(-0.709792\pi\)
−0.750937 + 0.660374i \(0.770398\pi\)
\(90\) −0.635765 + 4.42184i −0.0670155 + 0.466103i
\(91\) −3.10922 + 2.07438i −0.325935 + 0.217454i
\(92\) −8.65314 + 8.20632i −0.902152 + 0.855568i
\(93\) −1.22775 + 2.12653i −0.127312 + 0.220511i
\(94\) 1.52962 + 3.82081i 0.157768 + 0.394087i
\(95\) 0.705468 0.990691i 0.0723795 0.101643i
\(96\) −5.50064 5.76890i −0.561406 0.588786i
\(97\) 11.3221 + 13.0664i 1.14959 + 1.32669i 0.936910 + 0.349570i \(0.113672\pi\)
0.212676 + 0.977123i \(0.431782\pi\)
\(98\) −11.9625 8.76041i −1.20840 0.884936i
\(99\) −2.11789 + 3.29550i −0.212856 + 0.331211i
\(100\) −0.796148 1.11803i −0.0796148 0.111803i
\(101\) −0.967141 + 5.01800i −0.0962341 + 0.499310i 0.901544 + 0.432687i \(0.142435\pi\)
−0.997778 + 0.0666228i \(0.978778\pi\)
\(102\) −0.269208 + 0.522191i −0.0266556 + 0.0517046i
\(103\) −13.1540 5.26606i −1.29610 0.518880i −0.381923 0.924194i \(-0.624738\pi\)
−0.914178 + 0.405314i \(0.867162\pi\)
\(104\) 1.44146 0.207251i 0.141347 0.0203226i
\(105\) −2.23061 + 5.11475i −0.217685 + 0.499149i
\(106\) −5.36762 4.65107i −0.521350 0.451752i
\(107\) 13.8613 9.87061i 1.34002 0.954227i 0.340121 0.940382i \(-0.389532\pi\)
0.999904 0.0138456i \(-0.00440734\pi\)
\(108\) 2.48385 + 0.118320i 0.239008 + 0.0113854i
\(109\) −11.1030 + 11.6445i −1.06347 + 1.11534i −0.0704382 + 0.997516i \(0.522440\pi\)
−0.993035 + 0.117822i \(0.962409\pi\)
\(110\) 3.31192 + 17.1839i 0.315779 + 1.63842i
\(111\) 3.09655 + 0.909228i 0.293911 + 0.0863001i
\(112\) −3.49429 6.50168i −0.330180 0.614351i
\(113\) −10.9479 1.57408i −1.02990 0.148077i −0.393409 0.919364i \(-0.628704\pi\)
−0.636487 + 0.771287i \(0.719613\pi\)
\(114\) −1.05783 0.610737i −0.0990746 0.0572007i
\(115\) 6.60301 + 7.66193i 0.615734 + 0.714479i
\(116\) −6.74982 11.6910i −0.626705 1.08548i
\(117\) 0.873281 1.11047i 0.0807349 0.102663i
\(118\) 12.7054 5.80238i 1.16963 0.534152i
\(119\) −0.497216 + 0.539705i −0.0455797 + 0.0494747i
\(120\) 1.64306 1.42372i 0.149991 0.129968i
\(121\) −1.02456 + 4.22331i −0.0931421 + 0.383937i
\(122\) 0.854352 17.9350i 0.0773494 1.62376i
\(123\) 6.20032 0.592059i 0.559064 0.0533842i
\(124\) 5.77019 1.99708i 0.518178 0.179343i
\(125\) −9.85048 + 6.33052i −0.881054 + 0.566219i
\(126\) 5.32660 + 1.74183i 0.474531 + 0.155175i
\(127\) 1.20892 + 8.40823i 0.107274 + 0.746109i 0.970467 + 0.241234i \(0.0775523\pi\)
−0.863193 + 0.504875i \(0.831539\pi\)
\(128\) 0.380779 + 7.99353i 0.0336564 + 0.706535i
\(129\) 3.69737 + 0.712610i 0.325536 + 0.0627418i
\(130\) −0.599901 6.28245i −0.0526148 0.551007i
\(131\) 5.65846 + 10.9759i 0.494382 + 0.958967i 0.995605 + 0.0936489i \(0.0298531\pi\)
−0.501224 + 0.865318i \(0.667117\pi\)
\(132\) 9.34661 2.74441i 0.813518 0.238870i
\(133\) −1.07164 1.08598i −0.0929233 0.0941668i
\(134\) −5.96745 + 20.3233i −0.515509 + 1.75566i
\(135\) 0.200477 2.09949i 0.0172543 0.180695i
\(136\) 0.265435 0.106264i 0.0227609 0.00911208i
\(137\) 0.850903 0.491269i 0.0726976 0.0419720i −0.463211 0.886248i \(-0.653303\pi\)
0.535908 + 0.844276i \(0.319969\pi\)
\(138\) 7.02990 7.33306i 0.598425 0.624231i
\(139\) 0.454081i 0.0385147i 0.999815 + 0.0192573i \(0.00613018\pi\)
−0.999815 + 0.0192573i \(0.993870\pi\)
\(140\) 12.5209 5.97977i 1.05821 0.505383i
\(141\) −0.807153 1.76742i −0.0679745 0.148843i
\(142\) 15.4991 14.7783i 1.30065 1.24017i
\(143\) 1.81003 5.22975i 0.151363 0.437334i
\(144\) 2.01909 + 1.92520i 0.168258 + 0.160433i
\(145\) −10.1768 + 5.24650i −0.845136 + 0.435698i
\(146\) 4.77127 + 2.17897i 0.394873 + 0.180332i
\(147\) 5.83795 + 3.86243i 0.481506 + 0.318567i
\(148\) −4.33873 6.75119i −0.356641 0.554944i
\(149\) 0.886191 2.21360i 0.0725996 0.181345i −0.887630 0.460558i \(-0.847649\pi\)
0.960229 + 0.279213i \(0.0900736\pi\)
\(150\) 0.722717 + 0.919009i 0.0590096 + 0.0750368i
\(151\) 8.70909 + 4.48985i 0.708736 + 0.365379i 0.774601 0.632450i \(-0.217951\pi\)
−0.0658656 + 0.997829i \(0.520981\pi\)
\(152\) 0.194425 + 0.561754i 0.0157700 + 0.0455643i
\(153\) 0.115220 0.252297i 0.00931499 0.0203970i
\(154\) 21.9504 0.376567i 1.76881 0.0303447i
\(155\) −1.45902 4.96897i −0.117191 0.399118i
\(156\) −3.44946 + 0.664829i −0.276178 + 0.0532289i
\(157\) 3.33805 + 13.7596i 0.266405 + 1.09814i 0.935039 + 0.354545i \(0.115364\pi\)
−0.668634 + 0.743592i \(0.733121\pi\)
\(158\) −16.9227 12.0506i −1.34630 0.958696i
\(159\) 2.63569 + 2.07273i 0.209024 + 0.164378i
\(160\) 16.8112 1.32904
\(161\) 10.8958 6.50249i 0.858707 0.512468i
\(162\) −2.11817 −0.166420
\(163\) 4.74847 + 3.73423i 0.371929 + 0.292488i 0.786575 0.617495i \(-0.211852\pi\)
−0.414646 + 0.909983i \(0.636095\pi\)
\(164\) −12.6164 8.98407i −0.985173 0.701538i
\(165\) −1.94781 8.02900i −0.151637 0.625057i
\(166\) 26.3831 5.08492i 2.04772 0.394666i
\(167\) −2.07723 7.07440i −0.160741 0.547434i −0.999993 0.00369129i \(-0.998825\pi\)
0.839252 0.543742i \(-0.182993\pi\)
\(168\) −1.40399 2.33822i −0.108320 0.180397i
\(169\) 4.57133 10.0098i 0.351641 0.769985i
\(170\) −0.405257 1.17091i −0.0310818 0.0898049i
\(171\) 0.512559 + 0.264242i 0.0391963 + 0.0202071i
\(172\) −5.78803 7.36008i −0.441333 0.561201i
\(173\) −3.48149 + 8.69635i −0.264693 + 0.661171i −0.999860 0.0167145i \(-0.994679\pi\)
0.735167 + 0.677886i \(0.237104\pi\)
\(174\) 6.21692 + 9.67372i 0.471304 + 0.733363i
\(175\) 0.565930 + 1.34623i 0.0427803 + 0.101765i
\(176\) 9.94118 + 4.53998i 0.749344 + 0.342214i
\(177\) −5.86116 + 3.02164i −0.440552 + 0.227120i
\(178\) −19.8065 18.8854i −1.48456 1.41552i
\(179\) −7.60775 + 21.9811i −0.568630 + 1.64295i 0.182812 + 0.983148i \(0.441480\pi\)
−0.751441 + 0.659800i \(0.770641\pi\)
\(180\) −3.79560 + 3.61910i −0.282908 + 0.269752i
\(181\) −5.23877 11.4713i −0.389395 0.852656i −0.998236 0.0593638i \(-0.981093\pi\)
0.608842 0.793292i \(-0.291634\pi\)
\(182\) −7.89297 0.617269i −0.585066 0.0457550i
\(183\) 8.47682i 0.626624i
\(184\) −4.92261 + 0.456661i −0.362900 + 0.0336655i
\(185\) −5.89456 + 3.40322i −0.433376 + 0.250210i
\(186\) −4.82861 + 1.93309i −0.354051 + 0.141741i
\(187\) 0.103281 1.08161i 0.00755266 0.0790950i
\(188\) −1.36122 + 4.63589i −0.0992771 + 0.338107i
\(189\) −2.55099 0.701741i −0.185557 0.0510441i
\(190\) 2.47178 0.725781i 0.179322 0.0526537i
\(191\) −7.67818 14.8936i −0.555573 1.07766i −0.984674 0.174405i \(-0.944200\pi\)
0.429101 0.903257i \(-0.358831\pi\)
\(192\) −1.07455 11.2532i −0.0775489 0.812129i
\(193\) 17.2450 + 3.32371i 1.24132 + 0.239246i 0.767313 0.641273i \(-0.221594\pi\)
0.474011 + 0.880519i \(0.342806\pi\)
\(194\) 1.74254 + 36.5804i 0.125107 + 2.62632i
\(195\) 0.424022 + 2.94914i 0.0303649 + 0.211192i
\(196\) −4.68159 16.7653i −0.334399 1.19752i
\(197\) 10.8385 6.96546i 0.772208 0.496268i −0.0942311 0.995550i \(-0.530039\pi\)
0.866439 + 0.499282i \(0.166403\pi\)
\(198\) −7.84132 + 2.71391i −0.557258 + 0.192869i
\(199\) 3.08525 0.294606i 0.218708 0.0208841i 0.0148731 0.999889i \(-0.495266\pi\)
0.203835 + 0.979005i \(0.434660\pi\)
\(200\) 0.0270732 0.568337i 0.00191437 0.0401875i
\(201\) 2.35753 9.71789i 0.166288 0.685447i
\(202\) −8.18071 + 7.08862i −0.575592 + 0.498754i
\(203\) 4.28240 + 13.7100i 0.300566 + 0.962256i
\(204\) −0.627378 + 0.286514i −0.0439252 + 0.0200600i
\(205\) −8.12026 + 10.3258i −0.567144 + 0.721182i
\(206\) −15.0061 25.9914i −1.04553 1.81091i
\(207\) −3.15036 + 3.61597i −0.218965 + 0.251327i
\(208\) −3.41320 1.97061i −0.236663 0.136637i
\(209\) 2.23601 + 0.321490i 0.154668 + 0.0222379i
\(210\) −10.4111 + 5.59536i −0.718431 + 0.386117i
\(211\) 17.5173 + 5.14354i 1.20594 + 0.354096i 0.822121 0.569312i \(-0.192790\pi\)
0.383819 + 0.923408i \(0.374609\pi\)
\(212\) −1.57797 8.18728i −0.108375 0.562305i
\(213\) −6.97691 + 7.31717i −0.478050 + 0.501365i
\(214\) 36.0033 + 1.71505i 2.46114 + 0.117238i
\(215\) −6.46888 + 4.60647i −0.441174 + 0.314159i
\(216\) 0.779059 + 0.675058i 0.0530082 + 0.0459319i
\(217\) −6.45569 + 0.728387i −0.438241 + 0.0494461i
\(218\) −33.7334 + 4.85012i −2.28471 + 0.328492i
\(219\) −2.29893 0.920354i −0.155348 0.0621918i
\(220\) −9.41406 + 18.2607i −0.634696 + 1.23114i
\(221\) −0.0741547 + 0.384751i −0.00498818 + 0.0258812i
\(222\) 3.96523 + 5.56839i 0.266129 + 0.373726i
\(223\) −9.29489 + 14.4631i −0.622432 + 0.968523i 0.376678 + 0.926344i \(0.377066\pi\)
−0.999110 + 0.0421786i \(0.986570\pi\)
\(224\) 3.63539 20.7737i 0.242900 1.38800i
\(225\) −0.361456 0.417142i −0.0240970 0.0278095i
\(226\) −16.1673 16.9557i −1.07543 1.12788i
\(227\) 11.3274 15.9071i 0.751824 1.05579i −0.244460 0.969659i \(-0.578611\pi\)
0.996284 0.0861296i \(-0.0274499\pi\)
\(228\) −0.532952 1.33125i −0.0352956 0.0881642i
\(229\) −0.707167 + 1.22485i −0.0467309 + 0.0809403i −0.888445 0.458984i \(-0.848214\pi\)
0.841714 + 0.539924i \(0.181547\pi\)
\(230\) 0.961710 + 21.4029i 0.0634133 + 1.41126i
\(231\) −10.3427 + 0.670663i −0.680498 + 0.0441264i
\(232\) 0.796429 5.53929i 0.0522881 0.363672i
\(233\) 22.4391 + 2.14268i 1.47004 + 0.140371i 0.799125 0.601166i \(-0.205297\pi\)
0.670912 + 0.741537i \(0.265903\pi\)
\(234\) 2.90802 0.705479i 0.190103 0.0461186i
\(235\) 3.87249 + 1.34028i 0.252613 + 0.0874303i
\(236\) 15.9354 + 3.86587i 1.03730 + 0.251647i
\(237\) 8.25095 + 5.30256i 0.535957 + 0.344439i
\(238\) −1.53454 + 0.247569i −0.0994692 + 0.0160475i
\(239\) 3.56704 4.11658i 0.230733 0.266280i −0.628563 0.777758i \(-0.716357\pi\)
0.859296 + 0.511479i \(0.170902\pi\)
\(240\) −5.87719 + 0.279965i −0.379371 + 0.0180717i
\(241\) −8.84391 + 6.95492i −0.569686 + 0.448006i −0.860988 0.508625i \(-0.830154\pi\)
0.291302 + 0.956631i \(0.405912\pi\)
\(242\) −7.23576 + 5.69027i −0.465132 + 0.365784i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 13.8038 15.9305i 0.883699 1.01984i
\(245\) −14.3921 + 3.28956i −0.919478 + 0.210162i
\(246\) 11.0987 + 7.13273i 0.707630 + 0.454766i
\(247\) −0.791695 0.192063i −0.0503744 0.0122207i
\(248\) 2.39202 + 0.827886i 0.151893 + 0.0525708i
\(249\) −12.3272 + 2.99055i −0.781206 + 0.189519i
\(250\) −24.6900 2.35761i −1.56153 0.149108i
\(251\) 1.79308 12.4711i 0.113178 0.787172i −0.851616 0.524166i \(-0.824377\pi\)
0.964794 0.263006i \(-0.0847138\pi\)
\(252\) 3.65134 + 5.47286i 0.230013 + 0.344758i
\(253\) −7.02945 + 17.4224i −0.441938 + 1.09534i
\(254\) −8.99662 + 15.5826i −0.564498 + 0.977739i
\(255\) 0.217410 + 0.543063i 0.0136147 + 0.0340079i
\(256\) 3.28188 4.60876i 0.205118 0.288047i
\(257\) 4.47179 + 4.68988i 0.278943 + 0.292547i 0.848270 0.529564i \(-0.177645\pi\)
−0.569327 + 0.822111i \(0.692796\pi\)
\(258\) 5.22305 + 6.02772i 0.325173 + 0.375269i
\(259\) 2.93069 + 8.01986i 0.182104 + 0.498330i
\(260\) 4.00557 6.23279i 0.248415 0.386541i
\(261\) −3.14902 4.42218i −0.194919 0.273726i
\(262\) −4.95015 + 25.6838i −0.305821 + 1.58675i
\(263\) −7.80090 + 15.1316i −0.481024 + 0.933057i 0.516046 + 0.856561i \(0.327403\pi\)
−0.997070 + 0.0764958i \(0.975627\pi\)
\(264\) 3.74893 + 1.50084i 0.230731 + 0.0923706i
\(265\) −6.99977 + 1.00641i −0.429992 + 0.0618235i
\(266\) −0.362331 3.21134i −0.0222159 0.196900i
\(267\) 9.76436 + 8.46087i 0.597569 + 0.517797i
\(268\) −20.2553 + 14.4237i −1.23729 + 0.881070i
\(269\) −25.3916 1.20955i −1.54815 0.0737476i −0.744004 0.668175i \(-0.767076\pi\)
−0.804149 + 0.594427i \(0.797379\pi\)
\(270\) 3.08280 3.23315i 0.187613 0.196763i
\(271\) 3.14628 + 16.3245i 0.191123 + 0.991641i 0.943115 + 0.332468i \(0.107881\pi\)
−0.751992 + 0.659173i \(0.770907\pi\)
\(272\) −0.742446 0.218002i −0.0450174 0.0132183i
\(273\) 3.73595 + 0.113781i 0.226110 + 0.00688632i
\(274\) 2.06001 + 0.296184i 0.124449 + 0.0178931i
\(275\) −1.87254 1.08111i −0.112919 0.0651936i
\(276\) 11.8088 1.66536i 0.710805 0.100243i
\(277\) −11.1850 19.3730i −0.672042 1.16401i −0.977324 0.211749i \(-0.932084\pi\)
0.305282 0.952262i \(-0.401249\pi\)
\(278\) −0.594560 + 0.756044i −0.0356593 + 0.0453445i
\(279\) 2.23360 1.02005i 0.133722 0.0610690i
\(280\) 5.61239 + 1.26002i 0.335404 + 0.0753008i
\(281\) 15.1935 13.1652i 0.906367 0.785371i −0.0708784 0.997485i \(-0.522580\pi\)
0.977245 + 0.212114i \(0.0680348\pi\)
\(282\) 0.970295 3.99961i 0.0577802 0.238173i
\(283\) −0.0146524 + 0.307591i −0.000870994 + 0.0182844i −0.999261 0.0384377i \(-0.987762\pi\)
0.998390 + 0.0567221i \(0.0180649\pi\)
\(284\) 25.0271 2.38980i 1.48509 0.141809i
\(285\) −1.14931 + 0.397781i −0.0680795 + 0.0235625i
\(286\) 9.86137 6.33752i 0.583115 0.374745i
\(287\) 11.0036 + 12.2672i 0.649520 + 0.724107i
\(288\) 1.13440 + 7.88989i 0.0668449 + 0.464916i
\(289\) −0.805232 16.9039i −0.0473666 0.994347i
\(290\) −23.8139 4.58976i −1.39840 0.269520i
\(291\) −1.64346 17.2111i −0.0963411 1.00893i
\(292\) 2.82165 + 5.47325i 0.165125 + 0.320297i
\(293\) 12.3859 3.63681i 0.723589 0.212465i 0.100858 0.994901i \(-0.467841\pi\)
0.622731 + 0.782436i \(0.286023\pi\)
\(294\) 4.66284 + 14.0750i 0.271942 + 0.820868i
\(295\) 3.91817 13.3441i 0.228125 0.776922i
\(296\) 0.316234 3.31175i 0.0183807 0.192491i
\(297\) 3.63676 1.45594i 0.211026 0.0844822i
\(298\) 4.37392 2.52529i 0.253375 0.146286i
\(299\) 3.12077 6.01358i 0.180479 0.347775i
\(300\) 1.37254i 0.0792433i
\(301\) 4.29335 + 8.98976i 0.247464 + 0.518161i
\(302\) 8.62175 + 18.8790i 0.496126 + 1.08636i
\(303\) 3.69854 3.52655i 0.212475 0.202595i
\(304\) 0.526184 1.52031i 0.0301787 0.0871956i
\(305\) −12.9389 12.3372i −0.740877 0.706425i
\(306\) 0.522191 0.269208i 0.0298517 0.0153896i
\(307\) −30.3413 13.8564i −1.73167 0.790828i −0.993184 0.116560i \(-0.962813\pi\)
−0.738487 0.674268i \(-0.764459\pi\)
\(308\) 20.5291 + 15.5818i 1.16975 + 0.887857i
\(309\) 7.66030 + 11.9197i 0.435779 + 0.678086i
\(310\) 4.07695 10.1837i 0.231555 0.578397i
\(311\) 13.1892 + 16.7714i 0.747891 + 0.951021i 0.999860 0.0167146i \(-0.00532067\pi\)
−0.251969 + 0.967735i \(0.581078\pi\)
\(312\) −1.29440 0.667308i −0.0732808 0.0377789i
\(313\) −10.7648 31.1027i −0.608460 1.75803i −0.651160 0.758941i \(-0.725717\pi\)
0.0426998 0.999088i \(-0.486404\pi\)
\(314\) −12.4586 + 27.2805i −0.703078 + 1.53953i
\(315\) 4.78385 2.87247i 0.269539 0.161846i
\(316\) −6.87118 23.4011i −0.386534 1.31641i
\(317\) 20.5297 3.95677i 1.15306 0.222234i 0.423335 0.905973i \(-0.360859\pi\)
0.729727 + 0.683739i \(0.239647\pi\)
\(318\) 1.67445 + 6.90218i 0.0938985 + 0.387055i
\(319\) −17.3233 12.3359i −0.969920 0.690677i
\(320\) 18.7406 + 14.7377i 1.04763 + 0.823865i
\(321\) −17.0166 −0.949775
\(322\) 26.6556 + 3.43995i 1.48546 + 0.191701i
\(323\) −0.159944 −0.00889953
\(324\) −1.95465 1.53715i −0.108592 0.0853975i
\(325\) 0.635172 + 0.452304i 0.0352330 + 0.0250893i
\(326\) 3.01669 + 12.4350i 0.167079 + 0.688710i
\(327\) 15.7987 3.04495i 0.873669 0.168386i
\(328\) −1.80890 6.16055i −0.0998798 0.340159i
\(329\) 2.49361 4.49541i 0.137477 0.247840i
\(330\) 7.26981 15.9187i 0.400190 0.876294i
\(331\) −5.46345 15.7856i −0.300298 0.867655i −0.989685 0.143262i \(-0.954241\pi\)
0.689386 0.724394i \(-0.257880\pi\)
\(332\) 28.0364 + 14.4538i 1.53870 + 0.793253i
\(333\) −1.99497 2.53681i −0.109324 0.139016i
\(334\) 5.80442 14.4987i 0.317604 0.793335i
\(335\) 11.4021 + 17.7419i 0.622961 + 0.969346i
\(336\) −0.924978 + 7.32300i −0.0504617 + 0.399502i
\(337\) 21.4921 + 9.81513i 1.17075 + 0.534664i 0.903343 0.428919i \(-0.141106\pi\)
0.267408 + 0.963583i \(0.413833\pi\)
\(338\) 20.7178 10.6808i 1.12690 0.580957i
\(339\) 8.00488 + 7.63264i 0.434765 + 0.414548i
\(340\) 0.475758 1.37461i 0.0258016 0.0745488i
\(341\) 6.96168 6.63795i 0.376996 0.359465i
\(342\) 0.507418 + 1.11109i 0.0274380 + 0.0600809i
\(343\) 0.952653 + 18.4957i 0.0514385 + 0.998676i
\(344\) 3.88155i 0.209279i
\(345\) −0.934300 10.0713i −0.0503010 0.542223i
\(346\) −17.1834 + 9.92085i −0.923786 + 0.533348i
\(347\) 27.4712 10.9978i 1.47473 0.590392i 0.511550 0.859254i \(-0.329072\pi\)
0.963179 + 0.268861i \(0.0866473\pi\)
\(348\) −1.28322 + 13.4385i −0.0687879 + 0.720380i
\(349\) 8.97855 30.5781i 0.480611 1.63681i −0.260534 0.965465i \(-0.583899\pi\)
0.741145 0.671345i \(-0.234283\pi\)
\(350\) −0.820436 + 2.98248i −0.0438541 + 0.159420i
\(351\) −1.35549 + 0.398007i −0.0723506 + 0.0212441i
\(352\) 14.3083 + 27.7543i 0.762637 + 1.47931i
\(353\) 2.92053 + 30.5852i 0.155444 + 1.62789i 0.650837 + 0.759218i \(0.274418\pi\)
−0.495392 + 0.868669i \(0.664976\pi\)
\(354\) −13.7153 2.64340i −0.728958 0.140495i
\(355\) −1.01459 21.2989i −0.0538489 1.13043i
\(356\) −4.57229 31.8009i −0.242331 1.68545i
\(357\) 0.718080 0.151217i 0.0380048 0.00800328i
\(358\) −41.4483 + 26.6372i −2.19061 + 1.40782i
\(359\) 22.5633 7.80922i 1.19084 0.412155i 0.341442 0.939903i \(-0.389085\pi\)
0.849401 + 0.527748i \(0.176963\pi\)
\(360\) −2.16424 + 0.206660i −0.114066 + 0.0108919i
\(361\) −0.888233 + 18.6463i −0.0467491 + 0.981385i
\(362\) 6.29763 25.9592i 0.330996 1.36438i
\(363\) 3.28434 2.84590i 0.172383 0.149371i
\(364\) −6.83568 6.29753i −0.358287 0.330080i
\(365\) 4.75069 2.16957i 0.248662 0.113560i
\(366\) −11.0993 + 14.1139i −0.580169 + 0.737745i
\(367\) −17.5964 30.4779i −0.918525 1.59093i −0.801657 0.597784i \(-0.796048\pi\)
−0.116868 0.993147i \(-0.537285\pi\)
\(368\) 11.2360 + 7.26385i 0.585719 + 0.378654i
\(369\) −5.39406 3.11426i −0.280804 0.162122i
\(370\) −14.2705 2.05179i −0.741888 0.106667i
\(371\) −0.270058 + 8.86727i −0.0140207 + 0.460366i
\(372\) −5.85868 1.72026i −0.303758 0.0891915i
\(373\) −0.874541 4.53755i −0.0452820 0.234945i 0.952235 0.305365i \(-0.0987784\pi\)
−0.997517 + 0.0704194i \(0.977566\pi\)
\(374\) 1.58819 1.66564i 0.0821232 0.0861283i
\(375\) 11.6960 + 0.557151i 0.603980 + 0.0287711i
\(376\) −1.63154 + 1.16181i −0.0841402 + 0.0599160i
\(377\) 5.79611 + 5.02236i 0.298515 + 0.258665i
\(378\) −3.32856 4.50859i −0.171203 0.231897i
\(379\) −11.1670 + 1.60557i −0.573608 + 0.0824723i −0.423014 0.906123i \(-0.639028\pi\)
−0.150594 + 0.988596i \(0.548119\pi\)
\(380\) 2.80766 + 1.12402i 0.144030 + 0.0576608i
\(381\) 3.89249 7.55038i 0.199418 0.386818i
\(382\) 6.71705 34.8514i 0.343674 1.78315i
\(383\) −7.34052 10.3083i −0.375083 0.526731i 0.583284 0.812268i \(-0.301767\pi\)
−0.958368 + 0.285537i \(0.907828\pi\)
\(384\) 4.32653 6.73221i 0.220787 0.343552i
\(385\) 14.0291 16.7630i 0.714987 0.854320i
\(386\) 24.3610 + 28.1141i 1.23994 + 1.43097i
\(387\) −2.59844 2.72516i −0.132086 0.138528i
\(388\) −24.9383 + 35.0209i −1.26605 + 1.77792i
\(389\) −9.59647 23.9708i −0.486561 1.21537i −0.945125 0.326708i \(-0.894060\pi\)
0.458565 0.888661i \(-0.348364\pi\)
\(390\) −3.15551 + 5.46551i −0.159786 + 0.276757i
\(391\) 0.317086 1.29183i 0.0160357 0.0653308i
\(392\) 2.77068 6.66277i 0.139941 0.336521i
\(393\) 1.75739 12.2229i 0.0886486 0.616564i
\(394\) 27.1664 + 2.59407i 1.36862 + 0.130688i
\(395\) −20.1022 + 4.87674i −1.01145 + 0.245375i
\(396\) −9.20544 3.18603i −0.462591 0.160104i
\(397\) 16.0945 + 3.90448i 0.807759 + 0.195960i 0.618314 0.785931i \(-0.287816\pi\)
0.189445 + 0.981891i \(0.439331\pi\)
\(398\) 5.52269 + 3.54922i 0.276827 + 0.177906i
\(399\) 0.243003 + 1.50623i 0.0121654 + 0.0754059i
\(400\) −1.00840 + 1.16375i −0.0504199 + 0.0581877i
\(401\) 13.0338 0.620875i 0.650875 0.0310050i 0.280452 0.959868i \(-0.409516\pi\)
0.370423 + 0.928863i \(0.379213\pi\)
\(402\) 16.6496 13.0934i 0.830406 0.653039i
\(403\) −2.72676 + 2.14434i −0.135829 + 0.106817i
\(404\) −12.6933 + 0.604659i −0.631518 + 0.0300829i
\(405\) −1.38113 + 1.59390i −0.0686287 + 0.0792018i
\(406\) −10.8213 + 28.4344i −0.537052 + 1.41118i
\(407\) −10.6355 6.83502i −0.527182 0.338799i
\(408\) −0.277856 0.0674072i −0.0137559 0.00333715i
\(409\) 7.00085 + 2.42302i 0.346170 + 0.119810i 0.494620 0.869109i \(-0.335307\pi\)
−0.148450 + 0.988920i \(0.547429\pi\)
\(410\) −27.0404 + 6.55994i −1.33543 + 0.323972i
\(411\) −0.978090 0.0933962i −0.0482456 0.00460690i
\(412\) 5.01423 34.8748i 0.247034 1.71816i
\(413\) −15.6420 7.72733i −0.769693 0.380237i
\(414\) −9.97998 + 1.89559i −0.490489 + 0.0931631i
\(415\) 13.3764 23.1685i 0.656619 1.13730i
\(416\) −4.18520 10.4541i −0.205197 0.512556i
\(417\) 0.263393 0.369884i 0.0128984 0.0181133i
\(418\) 3.30200 + 3.46304i 0.161506 + 0.169383i
\(419\) −5.97952 6.90074i −0.292119 0.337123i 0.590653 0.806926i \(-0.298870\pi\)
−0.882771 + 0.469803i \(0.844325\pi\)
\(420\) −13.6679 2.39188i −0.666923 0.116712i
\(421\) 3.23688 5.03668i 0.157756 0.245473i −0.753374 0.657592i \(-0.771575\pi\)
0.911130 + 0.412119i \(0.135211\pi\)
\(422\) 22.4315 + 31.5006i 1.09195 + 1.53342i
\(423\) −0.367716 + 1.90789i −0.0178790 + 0.0927648i
\(424\) 1.58385 3.07224i 0.0769187 0.149201i
\(425\) 0.142126 + 0.0568985i 0.00689410 + 0.00275998i
\(426\) −21.1974 + 3.04773i −1.02702 + 0.147663i
\(427\) −18.0431 + 13.3207i −0.873167 + 0.644634i
\(428\) 31.9793 + 27.7102i 1.54578 + 1.33942i
\(429\) −4.50796 + 3.21011i −0.217646 + 0.154985i
\(430\) −16.8022 0.800390i −0.810276 0.0385982i
\(431\) −16.2466 + 17.0390i −0.782573 + 0.820739i −0.987431 0.158053i \(-0.949478\pi\)
0.204858 + 0.978792i \(0.434327\pi\)
\(432\) −0.527978 2.73941i −0.0254024 0.131800i
\(433\) −24.7655 7.27181i −1.19015 0.349461i −0.374073 0.927399i \(-0.622039\pi\)
−0.816080 + 0.577938i \(0.803857\pi\)
\(434\) −11.7024 7.24012i −0.561735 0.347537i
\(435\) 11.3330 + 1.62944i 0.543377 + 0.0781259i
\(436\) −34.6488 20.0045i −1.65938 0.958043i
\(437\) 2.65144 + 0.786306i 0.126836 + 0.0376141i
\(438\) −2.62264 4.54254i −0.125314 0.217051i
\(439\) 12.3639 15.7219i 0.590095 0.750367i −0.395689 0.918385i \(-0.629494\pi\)
0.985784 + 0.168018i \(0.0537366\pi\)
\(440\) −7.74707 + 3.53797i −0.369327 + 0.168666i
\(441\) −2.51503 6.53258i −0.119763 0.311075i
\(442\) −0.627248 + 0.543514i −0.0298352 + 0.0258523i
\(443\) 2.90171 11.9610i 0.137864 0.568285i −0.860412 0.509599i \(-0.829794\pi\)
0.998277 0.0586858i \(-0.0186910\pi\)
\(444\) −0.381852 + 8.01606i −0.0181219 + 0.380426i
\(445\) −27.1256 + 2.59018i −1.28588 + 0.122786i
\(446\) −34.4135 + 11.9106i −1.62953 + 0.563985i
\(447\) −2.00588 + 1.28910i −0.0948750 + 0.0609725i
\(448\) 22.2641 19.9708i 1.05188 0.943530i
\(449\) −2.19615 15.2746i −0.103643 0.720852i −0.973689 0.227882i \(-0.926820\pi\)
0.870046 0.492971i \(-0.164089\pi\)
\(450\) −0.0556301 1.16782i −0.00262243 0.0550515i
\(451\) −23.9585 4.61763i −1.12816 0.217436i
\(452\) −2.61440 27.3793i −0.122971 1.28781i
\(453\) −4.48985 8.70909i −0.210951 0.409189i
\(454\) 39.6883 11.6535i 1.86266 0.546927i
\(455\) −5.61099 + 5.53690i −0.263047 + 0.259574i
\(456\) 0.167476 0.570369i 0.00784276 0.0267100i
\(457\) −1.51618 + 15.8781i −0.0709237 + 0.742747i 0.888143 + 0.459567i \(0.151995\pi\)
−0.959067 + 0.283180i \(0.908611\pi\)
\(458\) −2.78121 + 1.11343i −0.129957 + 0.0520271i
\(459\) −0.240202 + 0.138681i −0.0112117 + 0.00647306i
\(460\) −14.6446 + 20.4485i −0.682806 + 0.953415i
\(461\) 16.2567i 0.757150i 0.925571 + 0.378575i \(0.123586\pi\)
−0.925571 + 0.378575i \(0.876414\pi\)
\(462\) −18.0987 12.4257i −0.842027 0.578097i
\(463\) 0.486289 + 1.06483i 0.0225998 + 0.0494866i 0.920595 0.390518i \(-0.127704\pi\)
−0.897996 + 0.440005i \(0.854977\pi\)
\(464\) −10.9613 + 10.4516i −0.508864 + 0.485201i
\(465\) −1.69380 + 4.89392i −0.0785482 + 0.226950i
\(466\) 34.5556 + 32.9487i 1.60076 + 1.52632i
\(467\) −14.1641 + 7.30212i −0.655438 + 0.337902i −0.753662 0.657263i \(-0.771714\pi\)
0.0982237 + 0.995164i \(0.468684\pi\)
\(468\) 3.19549 + 1.45933i 0.147711 + 0.0674575i
\(469\) 24.3895 10.2529i 1.12620 0.473435i
\(470\) 4.69276 + 7.30208i 0.216461 + 0.336820i
\(471\) 5.26227 13.1445i 0.242472 0.605667i
\(472\) 4.20199 + 5.34326i 0.193412 + 0.245943i
\(473\) −13.1108 6.75909i −0.602836 0.310783i
\(474\) 6.79480 + 19.6323i 0.312096 + 0.901741i
\(475\) −0.132224 + 0.289530i −0.00606686 + 0.0132846i
\(476\) −1.59573 0.885153i −0.0731402 0.0405709i
\(477\) −0.944668 3.21724i −0.0432534 0.147307i
\(478\) 11.3292 2.18353i 0.518187 0.0998724i
\(479\) 5.56659 + 22.9458i 0.254344 + 1.04842i 0.945476 + 0.325691i \(0.105597\pi\)
−0.691132 + 0.722728i \(0.742888\pi\)
\(480\) −13.6940 9.75145i −0.625043 0.445091i
\(481\) 3.58378 + 2.81832i 0.163406 + 0.128504i
\(482\) −23.8316 −1.08550
\(483\) −12.6472 1.02339i −0.575469 0.0465661i
\(484\) −10.8066 −0.491208
\(485\) 28.6625 + 22.5405i 1.30150 + 1.02351i
\(486\) 1.72541 + 1.22866i 0.0782664 + 0.0557332i
\(487\) 3.53055 + 14.5531i 0.159985 + 0.659466i 0.994155 + 0.107959i \(0.0344316\pi\)
−0.834171 + 0.551506i \(0.814053\pi\)
\(488\) 8.58035 1.65373i 0.388414 0.0748607i
\(489\) −1.70192 5.79620i −0.0769634 0.262113i
\(490\) −28.2701 13.3675i −1.27711 0.603881i
\(491\) 14.8948 32.6151i 0.672194 1.47190i −0.198513 0.980098i \(-0.563611\pi\)
0.870707 0.491802i \(-0.163662\pi\)
\(492\) 5.06571 + 14.6364i 0.228380 + 0.659861i
\(493\) 1.33836 + 0.689971i 0.0602766 + 0.0310747i
\(494\) −1.06669 1.35641i −0.0479926 0.0610276i
\(495\) −3.07063 + 7.67007i −0.138015 + 0.344744i
\(496\) −3.70362 5.76295i −0.166297 0.258764i
\(497\) −26.5385 3.35211i −1.19041 0.150363i
\(498\) −24.4405 11.1616i −1.09521 0.500164i
\(499\) 14.7595 7.60904i 0.660725 0.340628i −0.0950369 0.995474i \(-0.530297\pi\)
0.755762 + 0.654846i \(0.227267\pi\)
\(500\) −21.0730 20.0931i −0.942414 0.898590i
\(501\) −2.41149 + 6.96755i −0.107738 + 0.311287i
\(502\) 19.3148 18.4166i 0.862062 0.821974i
\(503\) 8.83879 + 19.3543i 0.394102 + 0.862963i 0.997834 + 0.0657762i \(0.0209523\pi\)
−0.603732 + 0.797187i \(0.706320\pi\)
\(504\) −0.212643 + 2.71905i −0.00947187 + 0.121116i
\(505\) 10.7779i 0.479612i
\(506\) −34.5164 + 19.8041i −1.53444 + 0.880401i
\(507\) −9.52995 + 5.50212i −0.423240 + 0.244358i
\(508\) −19.6103 + 7.85079i −0.870068 + 0.348323i
\(509\) 3.65791 38.3073i 0.162134 1.69794i −0.438753 0.898608i \(-0.644580\pi\)
0.600887 0.799334i \(-0.294814\pi\)
\(510\) −0.349083 + 1.18887i −0.0154577 + 0.0526440i
\(511\) −1.65361 6.33961i −0.0731515 0.280448i
\(512\) 26.8557 7.88556i 1.18687 0.348496i
\(513\) −0.264242 0.512559i −0.0116666 0.0226300i
\(514\) 1.30474 + 13.6639i 0.0575497 + 0.602687i
\(515\) −29.3428 5.65536i −1.29300 0.249205i
\(516\) 0.445526 + 9.35273i 0.0196132 + 0.411731i
\(517\) 1.08323 + 7.53400i 0.0476402 + 0.331345i
\(518\) −5.62137 + 17.1904i −0.246989 + 0.755303i
\(519\) 7.88032 5.06437i 0.345908 0.222301i
\(520\) 2.90244 1.00454i 0.127280 0.0440521i
\(521\) −8.87614 + 0.847568i −0.388871 + 0.0371326i −0.287661 0.957732i \(-0.592877\pi\)
−0.101210 + 0.994865i \(0.532271\pi\)
\(522\) 0.547153 11.4861i 0.0239482 0.502735i
\(523\) −2.56873 + 10.5885i −0.112323 + 0.463001i 0.887674 + 0.460473i \(0.152320\pi\)
−0.999997 + 0.00252859i \(0.999195\pi\)
\(524\) −23.2067 + 20.1087i −1.01379 + 0.878453i
\(525\) 0.319895 1.42488i 0.0139614 0.0621867i
\(526\) −32.8014 + 14.9799i −1.43021 + 0.653154i
\(527\) −0.421004 + 0.535351i −0.0183392 + 0.0233202i
\(528\) −5.46439 9.46461i −0.237807 0.411894i
\(529\) −11.6072 + 19.8563i −0.504663 + 0.863316i
\(530\) −12.9724 7.48960i −0.563483 0.325327i
\(531\) 6.52708 + 0.938453i 0.283251 + 0.0407254i
\(532\) 1.99610 3.22636i 0.0865420 0.139881i
\(533\) 8.44269 + 2.47900i 0.365694 + 0.107377i
\(534\) 5.17924 + 26.8725i 0.224128 + 1.16289i
\(535\) 24.7660 25.9739i 1.07073 1.12295i
\(536\) −10.2965 0.490483i −0.444741 0.0211856i
\(537\) 18.9474 13.4924i 0.817641 0.582239i
\(538\) −40.6932 35.2609i −1.75441 1.52020i
\(539\) −17.6803 20.9607i −0.761544 0.902842i
\(540\) 5.19109 0.746366i 0.223389 0.0321185i
\(541\) −18.8734 7.55577i −0.811431 0.324848i −0.0714233 0.997446i \(-0.522754\pi\)
−0.740008 + 0.672598i \(0.765178\pi\)
\(542\) −16.1362 + 31.2998i −0.693109 + 1.34444i
\(543\) −2.38663 + 12.3830i −0.102420 + 0.531407i
\(544\) −1.28242 1.80091i −0.0549834 0.0772133i
\(545\) −18.3457 + 28.5465i −0.785843 + 1.22280i
\(546\) 6.07138 + 5.08119i 0.259831 + 0.217455i
\(547\) 2.44006 + 2.81598i 0.104330 + 0.120403i 0.805513 0.592578i \(-0.201890\pi\)
−0.701183 + 0.712981i \(0.747345\pi\)
\(548\) 1.68603 + 1.76826i 0.0720237 + 0.0755363i
\(549\) 4.91704 6.90501i 0.209854 0.294699i
\(550\) −1.70220 4.25190i −0.0725822 0.181302i
\(551\) −1.56530 + 2.71117i −0.0666839 + 0.115500i
\(552\) 4.27473 + 2.48341i 0.181945 + 0.105701i
\(553\) 1.67914 + 25.8949i 0.0714042 + 1.10117i
\(554\) 6.74339 46.9013i 0.286499 1.99265i
\(555\) 6.77563 + 0.646994i 0.287609 + 0.0274634i
\(556\) −1.09732 + 0.266207i −0.0465367 + 0.0112897i
\(557\) −6.87425 2.37920i −0.291271 0.100810i 0.177525 0.984116i \(-0.443191\pi\)
−0.468796 + 0.883306i \(0.655312\pi\)
\(558\) 5.05457 + 1.22623i 0.213977 + 0.0519103i
\(559\) 4.47501 + 2.87591i 0.189273 + 0.121638i
\(560\) −9.83149 12.0698i −0.415456 0.510042i
\(561\) −0.711524 + 0.821143i −0.0300406 + 0.0346687i
\(562\) 42.5352 2.02620i 1.79424 0.0854702i
\(563\) 27.2489 21.4287i 1.14840 0.903114i 0.152044 0.988374i \(-0.451415\pi\)
0.996359 + 0.0852602i \(0.0271721\pi\)
\(564\) 3.79789 2.98670i 0.159920 0.125763i
\(565\) −23.3006 + 1.10995i −0.980266 + 0.0466958i
\(566\) −0.427147 + 0.492954i −0.0179543 + 0.0207204i
\(567\) 1.67093 + 2.05134i 0.0701723 + 0.0861482i
\(568\) 8.76766 + 5.63463i 0.367883 + 0.236424i
\(569\) −29.8002 7.22944i −1.24929 0.303074i −0.444037 0.896008i \(-0.646454\pi\)
−0.805251 + 0.592934i \(0.797969\pi\)
\(570\) −2.43445 0.842571i −0.101968 0.0352914i
\(571\) 8.37623 2.03205i 0.350534 0.0850387i −0.0566259 0.998395i \(-0.518034\pi\)
0.407160 + 0.913357i \(0.366519\pi\)
\(572\) 13.6992 + 1.30811i 0.572792 + 0.0546950i
\(573\) −2.38467 + 16.5857i −0.0996210 + 0.692879i
\(574\) 2.25869 + 34.8325i 0.0942759 + 1.45388i
\(575\) −2.07634 1.64193i −0.0865894 0.0684733i
\(576\) −5.65219 + 9.78987i −0.235508 + 0.407911i
\(577\) 3.43211 + 8.57300i 0.142881 + 0.356899i 0.982496 0.186282i \(-0.0596439\pi\)
−0.839616 + 0.543181i \(0.817220\pi\)
\(578\) 20.7927 29.1993i 0.864864 1.21453i
\(579\) −12.1194 12.7105i −0.503667 0.528230i
\(580\) −18.6447 21.5171i −0.774179 0.893450i
\(581\) −25.7368 21.5394i −1.06774 0.893603i
\(582\) 19.7993 30.8083i 0.820706 1.27704i
\(583\) −7.61917 10.6996i −0.315554 0.443133i
\(584\) −0.483100 + 2.50656i −0.0199908 + 0.103722i
\(585\) 1.36527 2.64825i 0.0564470 0.109492i
\(586\) 25.3844 + 10.1624i 1.04862 + 0.419803i
\(587\) 11.2714 1.62058i 0.465220 0.0668885i 0.0942806 0.995546i \(-0.469945\pi\)
0.370939 + 0.928657i \(0.379036\pi\)
\(588\) −5.91130 + 16.3722i −0.243778 + 0.675177i
\(589\) −1.07014 0.927281i −0.0440943 0.0382080i
\(590\) 23.9961 17.0875i 0.987902 0.703482i
\(591\) −12.8691 0.613031i −0.529364 0.0252167i
\(592\) −6.21315 + 6.51617i −0.255359 + 0.267813i
\(593\) 6.47825 + 33.6123i 0.266030 + 1.38029i 0.831500 + 0.555525i \(0.187483\pi\)
−0.565470 + 0.824769i \(0.691305\pi\)
\(594\) 7.96157 + 2.33773i 0.326667 + 0.0959181i
\(595\) −0.814280 + 1.31615i −0.0333822 + 0.0539568i
\(596\) 5.86885 + 0.843813i 0.240397 + 0.0345639i
\(597\) −2.68406 1.54964i −0.109851 0.0634227i
\(598\) 13.0701 5.92636i 0.534475 0.242347i
\(599\) −8.38148 14.5171i −0.342458 0.593154i 0.642431 0.766344i \(-0.277926\pi\)
−0.984889 + 0.173189i \(0.944593\pi\)
\(600\) −0.351721 + 0.447250i −0.0143590 + 0.0182589i
\(601\) 17.7660 8.11347i 0.724691 0.330955i −0.0186883 0.999825i \(-0.505949\pi\)
0.743379 + 0.668870i \(0.233222\pi\)
\(602\) −4.62250 + 20.5895i −0.188399 + 0.839166i
\(603\) −7.55732 + 6.54845i −0.307758 + 0.266674i
\(604\) −5.74430 + 23.6783i −0.233732 + 0.963457i
\(605\) −0.436111 + 9.15509i −0.0177304 + 0.372208i
\(606\) 10.7756 1.02895i 0.437729 0.0417981i
\(607\) 26.8993 9.30993i 1.09181 0.377878i 0.278929 0.960312i \(-0.410020\pi\)
0.812879 + 0.582433i \(0.197899\pi\)
\(608\) 3.86690 2.48511i 0.156824 0.100784i
\(609\) 4.46426 13.6519i 0.180901 0.553203i
\(610\) −5.38926 37.4831i −0.218205 1.51765i
\(611\) −0.130608 2.74180i −0.00528383 0.110921i
\(612\) 0.677241 + 0.130528i 0.0273758 + 0.00527626i
\(613\) −3.63322 38.0488i −0.146744 1.53677i −0.706258 0.707954i \(-0.749618\pi\)
0.559514 0.828821i \(-0.310988\pi\)
\(614\) −32.3751 62.7989i −1.30655 2.53436i
\(615\) 12.6041 3.70090i 0.508246 0.149234i
\(616\) 2.69659 + 10.3382i 0.108649 + 0.416536i
\(617\) 5.99789 20.4269i 0.241466 0.822357i −0.746192 0.665731i \(-0.768120\pi\)
0.987658 0.156627i \(-0.0500619\pi\)
\(618\) −2.85285 + 29.8764i −0.114758 + 1.20180i
\(619\) −0.699884 + 0.280191i −0.0281307 + 0.0112618i −0.385685 0.922630i \(-0.626035\pi\)
0.357554 + 0.933892i \(0.383611\pi\)
\(620\) 11.1525 6.43891i 0.447896 0.258593i
\(621\) 4.66368 1.11809i 0.187147 0.0448674i
\(622\) 45.1939i 1.81211i
\(623\) −2.66517 + 34.0793i −0.106778 + 1.36536i
\(624\) 1.63724 + 3.58506i 0.0655422 + 0.143517i
\(625\) −15.8755 + 15.1373i −0.635020 + 0.605491i
\(626\) 22.8016 65.8810i 0.911336 2.63313i
\(627\) −1.63492 1.55889i −0.0652923 0.0622561i
\(628\) −31.2941 + 16.1332i −1.24877 + 0.643787i
\(629\) 0.814231 + 0.371847i 0.0324655 + 0.0148265i
\(630\) 11.7262 + 1.48115i 0.467184 + 0.0590106i
\(631\) −4.84584 7.54027i −0.192910 0.300173i 0.731302 0.682054i \(-0.238913\pi\)
−0.924212 + 0.381880i \(0.875277\pi\)
\(632\) 3.75766 9.38619i 0.149472 0.373363i
\(633\) −11.2856 14.3508i −0.448563 0.570394i
\(634\) 39.3628 + 20.2929i 1.56329 + 0.805934i
\(635\) 5.85963 + 16.9303i 0.232532 + 0.671858i
\(636\) −3.46371 + 7.58447i −0.137345 + 0.300744i
\(637\) 5.62860 + 8.13087i 0.223013 + 0.322157i
\(638\) −12.6911 43.2218i −0.502445 1.71117i
\(639\) 9.92760 1.91339i 0.392730 0.0756925i
\(640\) 3.97908 + 16.4020i 0.157287 + 0.648346i
\(641\) 30.7372 + 21.8879i 1.21405 + 0.864519i 0.993828 0.110931i \(-0.0353833\pi\)
0.220219 + 0.975450i \(0.429323\pi\)
\(642\) −28.3326 22.2810i −1.11820 0.879362i
\(643\) 7.32877 0.289018 0.144509 0.989503i \(-0.453840\pi\)
0.144509 + 0.989503i \(0.453840\pi\)
\(644\) 22.1014 + 22.5183i 0.870917 + 0.887344i
\(645\) 7.94141 0.312693
\(646\) −0.266307 0.209426i −0.0104777 0.00823975i
\(647\) 35.3864 + 25.1985i 1.39118 + 0.990656i 0.997445 + 0.0714319i \(0.0227569\pi\)
0.393736 + 0.919224i \(0.371183\pi\)
\(648\) −0.243030 1.00178i −0.00954713 0.0393538i
\(649\) 25.3651 4.88873i 0.995668 0.191899i
\(650\) 0.465328 + 1.58476i 0.0182517 + 0.0621594i
\(651\) 5.68115 + 3.15134i 0.222662 + 0.123511i
\(652\) −6.24023 + 13.6642i −0.244386 + 0.535132i
\(653\) −11.7194 33.8611i −0.458617 1.32509i −0.903150 0.429325i \(-0.858752\pi\)
0.444533 0.895762i \(-0.353370\pi\)
\(654\) 30.2917 + 15.6165i 1.18450 + 0.610652i
\(655\) 16.0991 + 20.4717i 0.629045 + 0.799896i
\(656\) −6.45820 + 16.1318i −0.252150 + 0.629841i
\(657\) 1.33880 + 2.08321i 0.0522315 + 0.0812738i
\(658\) 10.0380 4.21980i 0.391322 0.164505i
\(659\) −18.4296 8.41650i −0.717914 0.327860i 0.0227453 0.999741i \(-0.492759\pi\)
−0.740659 + 0.671881i \(0.765487\pi\)
\(660\) 18.2607 9.41406i 0.710798 0.366442i
\(661\) 26.9461 + 25.6930i 1.04808 + 0.999343i 1.00000 0.000499804i \(0.000159093\pi\)
0.0480811 + 0.998843i \(0.484689\pi\)
\(662\) 11.5725 33.4367i 0.449780 1.29955i
\(663\) 0.283582 0.270395i 0.0110134 0.0105013i
\(664\) 5.43197 + 11.8944i 0.210801 + 0.461591i
\(665\) −2.65275 1.82126i −0.102869 0.0706254i
\(666\) 6.83593i 0.264887i
\(667\) −18.7944 18.0174i −0.727721 0.697637i
\(668\) 15.8780 9.16717i 0.614338 0.354688i
\(669\) 15.9608 6.38975i 0.617081 0.247042i
\(670\) −4.24635 + 44.4698i −0.164051 + 1.71802i
\(671\) 9.35545 31.8617i 0.361163 1.23001i
\(672\) −15.0112 + 14.8130i −0.579070 + 0.571423i
\(673\) 2.40383 0.705828i 0.0926608 0.0272077i −0.235074 0.971978i \(-0.575533\pi\)
0.327734 + 0.944770i \(0.393715\pi\)
\(674\) 22.9327 + 44.4833i 0.883336 + 1.71343i
\(675\) 0.0524670 + 0.549459i 0.00201945 + 0.0211487i
\(676\) 26.8694 + 5.17865i 1.03344 + 0.199179i
\(677\) 0.356604 + 7.48605i 0.0137054 + 0.287712i 0.995307 + 0.0967702i \(0.0308512\pi\)
−0.981601 + 0.190942i \(0.938846\pi\)
\(678\) 3.33417 + 23.1897i 0.128048 + 0.890594i
\(679\) 34.0516 30.5441i 1.30678 1.17217i
\(680\) 0.507282 0.326010i 0.0194534 0.0125019i
\(681\) −18.4540 + 6.38699i −0.707159 + 0.244750i
\(682\) 20.2827 1.93676i 0.776665 0.0741626i
\(683\) −1.24254 + 26.0842i −0.0475446 + 0.998084i 0.841498 + 0.540260i \(0.181674\pi\)
−0.889043 + 0.457824i \(0.848629\pi\)
\(684\) −0.338071 + 1.39355i −0.0129265 + 0.0532836i
\(685\) 1.56607 1.35701i 0.0598366 0.0518487i
\(686\) −22.6316 + 32.0427i −0.864078 + 1.22340i
\(687\) 1.28652 0.587536i 0.0490839 0.0224159i
\(688\) −6.49368 + 8.25738i −0.247569 + 0.314810i
\(689\) 2.36846 + 4.10229i 0.0902311 + 0.156285i
\(690\) 11.6315 17.9921i 0.442804 0.684948i
\(691\) −11.1861 6.45832i −0.425541 0.245686i 0.271904 0.962324i \(-0.412347\pi\)
−0.697445 + 0.716638i \(0.745680\pi\)
\(692\) −23.0564 3.31501i −0.876472 0.126018i
\(693\) 8.81391 + 5.45303i 0.334813 + 0.207144i
\(694\) 60.1396 + 17.6586i 2.28287 + 0.670310i
\(695\) 0.181241 + 0.940368i 0.00687487 + 0.0356702i
\(696\) −3.86185 + 4.05020i −0.146383 + 0.153522i
\(697\) 1.72560 + 0.0822003i 0.0653616 + 0.00311356i
\(698\) 54.9873 39.1563i 2.08130 1.48209i
\(699\) −17.0355 14.7613i −0.644342 0.558325i
\(700\) −2.92147 + 2.15684i −0.110421 + 0.0815209i
\(701\) −25.2643 + 3.63246i −0.954221 + 0.137196i −0.601801 0.798646i \(-0.705550\pi\)
−0.352420 + 0.935842i \(0.614641\pi\)
\(702\) −2.77802 1.11215i −0.104850 0.0419755i
\(703\) −0.852783 + 1.65417i −0.0321633 + 0.0623881i
\(704\) −8.38070 + 43.4832i −0.315859 + 1.63883i
\(705\) −2.37700 3.33803i −0.0895229 0.125717i
\(706\) −35.1847 + 54.7484i −1.32419 + 2.06048i
\(707\) 13.3183 + 2.33071i 0.500887 + 0.0876554i
\(708\) −10.7381 12.3925i −0.403563 0.465737i
\(709\) 30.2601 + 31.7359i 1.13644 + 1.19187i 0.978897 + 0.204353i \(0.0655090\pi\)
0.157544 + 0.987512i \(0.449642\pi\)
\(710\) 26.1988 36.7911i 0.983223 1.38074i
\(711\) −3.64524 9.10536i −0.136707 0.341478i
\(712\) 6.65929 11.5342i 0.249568 0.432264i
\(713\) 9.61098 6.80496i 0.359934 0.254848i
\(714\) 1.39360 + 0.688455i 0.0521542 + 0.0257648i
\(715\) 1.66105 11.5529i 0.0621198 0.432053i
\(716\) −57.5790 5.49813i −2.15183 0.205475i
\(717\) −5.29348 + 1.28418i −0.197688 + 0.0479587i
\(718\) 47.7929 + 16.5413i 1.78362 + 0.617315i
\(719\) −5.51933 1.33897i −0.205836 0.0499353i 0.131515 0.991314i \(-0.458016\pi\)
−0.337351 + 0.941379i \(0.609531\pi\)
\(720\) 4.94981 + 3.18105i 0.184469 + 0.118551i
\(721\) −13.3337 + 35.0360i −0.496572 + 1.30481i
\(722\) −25.8938 + 29.8831i −0.963668 + 1.11213i
\(723\) 11.2383 0.535345i 0.417956 0.0199097i
\(724\) 24.6500 19.3850i 0.916109 0.720436i
\(725\) 2.35539 1.85230i 0.0874770 0.0687927i
\(726\) 9.19476 0.438000i 0.341249 0.0162557i
\(727\) 14.1393 16.3176i 0.524397 0.605187i −0.430329 0.902672i \(-0.641603\pi\)
0.954726 + 0.297485i \(0.0961480\pi\)
\(728\) −0.613670 3.80378i −0.0227441 0.140977i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 10.7506 + 2.60808i 0.397899 + 0.0965293i
\(731\) 0.986942 + 0.341584i 0.0365034 + 0.0126339i
\(732\) −20.4848 + 4.96956i −0.757141 + 0.183680i
\(733\) −1.33711 0.127678i −0.0493871 0.00471590i 0.0703332 0.997524i \(-0.477594\pi\)
−0.119720 + 0.992808i \(0.538200\pi\)
\(734\) 10.6088 73.7858i 0.391578 2.72348i
\(735\) 13.6316 + 5.66864i 0.502809 + 0.209091i
\(736\) 12.4056 + 36.1588i 0.457276 + 1.33283i
\(737\) −19.5864 + 33.9246i −0.721474 + 1.24963i
\(738\) −4.90338 12.2481i −0.180496 0.450857i
\(739\) −16.9022 + 23.7358i −0.621756 + 0.873134i −0.998587 0.0531479i \(-0.983075\pi\)
0.376831 + 0.926282i \(0.377014\pi\)
\(740\) −11.6798 12.2495i −0.429359 0.450299i
\(741\) 0.533488 + 0.615678i 0.0195982 + 0.0226175i
\(742\) −12.0602 + 14.4104i −0.442743 + 0.529022i
\(743\) −24.6057 + 38.2872i −0.902694 + 1.40462i 0.0117598 + 0.999931i \(0.496257\pi\)
−0.914454 + 0.404689i \(0.867380\pi\)
\(744\) −1.46826 2.06188i −0.0538291 0.0755923i
\(745\) 0.951704 4.93791i 0.0348677 0.180911i
\(746\) 4.48522 8.70011i 0.164215 0.318533i
\(747\) 11.7762 + 4.71446i 0.430867 + 0.172493i
\(748\) 2.67433 0.384511i 0.0977832 0.0140591i
\(749\) −26.7404 36.2203i −0.977072 1.32346i
\(750\) 18.7443 + 16.2421i 0.684447 + 0.593077i
\(751\) −18.5100 + 13.1809i −0.675440 + 0.480979i −0.865575 0.500779i \(-0.833047\pi\)
0.190135 + 0.981758i \(0.439108\pi\)
\(752\) 5.41450 + 0.257925i 0.197447 + 0.00940554i
\(753\) −8.69457 + 9.11861i −0.316848 + 0.332301i
\(754\) 3.07439 + 15.9515i 0.111963 + 0.580918i
\(755\) 19.8279 + 5.82201i 0.721613 + 0.211885i
\(756\) 0.200277 6.57605i 0.00728402 0.239169i
\(757\) −28.9993 4.16947i −1.05400 0.151542i −0.406531 0.913637i \(-0.633262\pi\)
−0.647465 + 0.762095i \(0.724171\pi\)
\(758\) −20.6952 11.9484i −0.751685 0.433985i
\(759\) 15.8320 10.1144i 0.574666 0.367129i
\(760\) 0.626857 + 1.08575i 0.0227385 + 0.0393843i
\(761\) −29.6447 + 37.6963i −1.07462 + 1.36649i −0.148650 + 0.988890i \(0.547493\pi\)
−0.925969 + 0.377599i \(0.876750\pi\)
\(762\) 16.3672 7.47466i 0.592922 0.270778i
\(763\) 31.3077 + 28.8430i 1.13342 + 1.04419i
\(764\) 31.4900 27.2863i 1.13927 0.987183i
\(765\) 0.137911 0.568476i 0.00498618 0.0205533i
\(766\) 1.27544 26.7748i 0.0460835 0.967412i
\(767\) −9.27353 + 0.885515i −0.334848 + 0.0319741i
\(768\) −5.34668 + 1.85050i −0.192932 + 0.0667743i
\(769\) −5.61407 + 3.60794i −0.202449 + 0.130106i −0.637937 0.770089i \(-0.720212\pi\)
0.435489 + 0.900194i \(0.356576\pi\)
\(770\) 45.3073 9.54107i 1.63276 0.343836i
\(771\) −0.922217 6.41416i −0.0332128 0.231000i
\(772\) 2.07799 + 43.6223i 0.0747884 + 1.57000i
\(773\) −17.6779 3.40713i −0.635829 0