Properties

Label 576.2.bm.a.205.64
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.64
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.64

$q$-expansion

\(f(q)\) \(=\) \(q+(0.678171 + 1.24100i) q^{2} +(-1.70565 - 0.301270i) q^{3} +(-1.08017 + 1.68322i) q^{4} +(-0.000967777 - 0.00110354i) q^{5} +(-0.782846 - 2.32102i) q^{6} +(-1.80792 - 0.238017i) q^{7} +(-2.82142 - 0.198976i) q^{8} +(2.81847 + 1.02772i) q^{9} +O(q^{10})\) \(q+(0.678171 + 1.24100i) q^{2} +(-1.70565 - 0.301270i) q^{3} +(-1.08017 + 1.68322i) q^{4} +(-0.000967777 - 0.00110354i) q^{5} +(-0.782846 - 2.32102i) q^{6} +(-1.80792 - 0.238017i) q^{7} +(-2.82142 - 0.198976i) q^{8} +(2.81847 + 1.02772i) q^{9} +(0.000713174 - 0.00194940i) q^{10} +(0.208019 + 0.421821i) q^{11} +(2.34949 - 2.54556i) q^{12} +(-1.52957 - 4.50597i) q^{13} +(-0.930699 - 2.40504i) q^{14} +(0.00131822 + 0.00217381i) q^{15} +(-1.66648 - 3.63632i) q^{16} +(-4.32364 - 4.32364i) q^{17} +(0.636005 + 4.19470i) q^{18} +(-1.25108 + 6.28962i) q^{19} +(0.00290286 - 0.000436978i) q^{20} +(3.01196 + 0.950644i) q^{21} +(-0.382407 + 0.544218i) q^{22} +(-0.497235 - 3.77688i) q^{23} +(4.75240 + 1.18939i) q^{24} +(0.652631 - 4.95722i) q^{25} +(4.55460 - 4.95402i) q^{26} +(-4.49770 - 2.60205i) q^{27} +(2.35349 - 2.78603i) q^{28} +(8.13897 - 0.533456i) q^{29} +(-0.00180372 + 0.00311013i) q^{30} +(3.92540 - 2.26633i) q^{31} +(3.38253 - 4.53415i) q^{32} +(-0.227725 - 0.782148i) q^{33} +(2.43347 - 8.29781i) q^{34} +(0.00148700 + 0.00222545i) q^{35} +(-4.77431 + 3.63401i) q^{36} +(-0.838744 - 4.21665i) q^{37} +(-8.65387 + 2.71284i) q^{38} +(1.25140 + 8.14641i) q^{39} +(0.00251093 + 0.00330611i) q^{40} +(-0.920925 - 6.99512i) q^{41} +(0.862877 + 4.38255i) q^{42} +(-7.91942 + 3.90542i) q^{43} +(-0.934713 - 0.105495i) q^{44} +(-0.00159352 - 0.00410490i) q^{45} +(4.34990 - 3.17844i) q^{46} +(-6.62143 + 1.77421i) q^{47} +(1.74691 + 6.70435i) q^{48} +(-3.54957 - 0.951104i) q^{49} +(6.59451 - 2.55193i) q^{50} +(6.07202 + 8.67719i) q^{51} +(9.23674 + 2.29259i) q^{52} +(-4.66506 + 6.98175i) q^{53} +(0.178936 - 7.34629i) q^{54} +(0.000264179 - 0.000637785i) q^{55} +(5.05353 + 1.03128i) q^{56} +(4.02878 - 10.3510i) q^{57} +(6.18163 + 9.73870i) q^{58} +(-6.01076 - 6.85395i) q^{59} +(-0.00508291 - 0.000129214i) q^{60} +(0.683159 + 10.4230i) q^{61} +(5.47461 + 3.33446i) q^{62} +(-4.85095 - 2.52888i) q^{63} +(7.92082 + 1.12279i) q^{64} +(-0.00349222 + 0.00604871i) q^{65} +(0.816209 - 0.813037i) q^{66} +(5.08257 + 2.50645i) q^{67} +(11.9479 - 2.60739i) q^{68} +(-0.289750 + 6.59182i) q^{69} +(-0.00175335 + 0.00335461i) q^{70} +(-2.87271 - 6.93533i) q^{71} +(-7.74760 - 3.46044i) q^{72} +(-4.91883 + 11.8751i) q^{73} +(4.66405 - 3.90049i) q^{74} +(-2.60662 + 8.25866i) q^{75} +(-9.23544 - 8.89969i) q^{76} +(-0.275681 - 0.812129i) q^{77} +(-9.26104 + 7.07765i) q^{78} +(-0.125919 - 0.469935i) q^{79} +(-0.00240005 + 0.00535817i) q^{80} +(6.88758 + 5.79321i) q^{81} +(8.05640 - 5.88676i) q^{82} +(-10.2560 - 8.99430i) q^{83} +(-4.85357 + 4.04295i) q^{84} +(-0.000586982 + 0.00895562i) q^{85} +(-10.2174 - 7.17946i) q^{86} +(-14.0429 - 1.54214i) q^{87} +(-0.502977 - 1.23152i) q^{88} +(3.50955 - 1.45370i) q^{89} +(0.00401350 - 0.00476139i) q^{90} +(1.69284 + 8.51048i) q^{91} +(6.89442 + 3.24270i) q^{92} +(-7.37812 + 2.68296i) q^{93} +(-6.69226 - 7.01399i) q^{94} +(0.00815160 - 0.00470633i) q^{95} +(-7.13540 + 6.71461i) q^{96} +(1.67479 + 0.966939i) q^{97} +(-1.22689 - 5.05003i) q^{98} +(0.152782 + 1.40268i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.678171 + 1.24100i 0.479539 + 0.877520i
\(3\) −1.70565 0.301270i −0.984757 0.173938i
\(4\) −1.08017 + 1.68322i −0.540084 + 0.841611i
\(5\) −0.000967777 0.00110354i −0.000432803 0.000493517i 0.751623 0.659593i \(-0.229271\pi\)
−0.752056 + 0.659099i \(0.770938\pi\)
\(6\) −0.782846 2.32102i −0.319595 0.947554i
\(7\) −1.80792 0.238017i −0.683329 0.0899619i −0.219134 0.975695i \(-0.570323\pi\)
−0.464195 + 0.885733i \(0.653656\pi\)
\(8\) −2.82142 0.198976i −0.997522 0.0703487i
\(9\) 2.81847 + 1.02772i 0.939491 + 0.342574i
\(10\) 0.000713174 0.00194940i 0.000225525 0.000616454i
\(11\) 0.208019 + 0.421821i 0.0627201 + 0.127184i 0.925975 0.377584i \(-0.123245\pi\)
−0.863255 + 0.504767i \(0.831578\pi\)
\(12\) 2.34949 2.54556i 0.678239 0.734841i
\(13\) −1.52957 4.50597i −0.424226 1.24973i −0.923605 0.383346i \(-0.874772\pi\)
0.499378 0.866384i \(-0.333562\pi\)
\(14\) −0.930699 2.40504i −0.248740 0.642775i
\(15\) 0.00131822 + 0.00217381i 0.000340364 + 0.000561275i
\(16\) −1.66648 3.63632i −0.416619 0.909081i
\(17\) −4.32364 4.32364i −1.04864 1.04864i −0.998755 0.0498810i \(-0.984116\pi\)
−0.0498810 0.998755i \(-0.515884\pi\)
\(18\) 0.636005 + 4.19470i 0.149908 + 0.988700i
\(19\) −1.25108 + 6.28962i −0.287018 + 1.44294i 0.520888 + 0.853625i \(0.325601\pi\)
−0.807906 + 0.589312i \(0.799399\pi\)
\(20\) 0.00290286 0.000436978i 0.000649100 9.77112e-5i
\(21\) 3.01196 + 0.950644i 0.657265 + 0.207448i
\(22\) −0.382407 + 0.544218i −0.0815296 + 0.116028i
\(23\) −0.497235 3.77688i −0.103681 0.787533i −0.961736 0.273976i \(-0.911661\pi\)
0.858056 0.513557i \(-0.171672\pi\)
\(24\) 4.75240 + 1.18939i 0.970080 + 0.242784i
\(25\) 0.652631 4.95722i 0.130526 0.991444i
\(26\) 4.55460 4.95402i 0.893231 0.971562i
\(27\) −4.49770 2.60205i −0.865583 0.500765i
\(28\) 2.35349 2.78603i 0.444768 0.526510i
\(29\) 8.13897 0.533456i 1.51137 0.0990603i 0.712972 0.701192i \(-0.247349\pi\)
0.798397 + 0.602132i \(0.205682\pi\)
\(30\) −0.00180372 + 0.00311013i −0.000329312 + 0.000567830i
\(31\) 3.92540 2.26633i 0.705022 0.407045i −0.104193 0.994557i \(-0.533226\pi\)
0.809215 + 0.587512i \(0.199893\pi\)
\(32\) 3.38253 4.53415i 0.597952 0.801532i
\(33\) −0.227725 0.782148i −0.0396419 0.136154i
\(34\) 2.43347 8.29781i 0.417337 1.42306i
\(35\) 0.00148700 + 0.00222545i 0.000251349 + 0.000376170i
\(36\) −4.77431 + 3.63401i −0.795718 + 0.605668i
\(37\) −0.838744 4.21665i −0.137889 0.693213i −0.986443 0.164105i \(-0.947527\pi\)
0.848554 0.529108i \(-0.177473\pi\)
\(38\) −8.65387 + 2.71284i −1.40384 + 0.440081i
\(39\) 1.25140 + 8.14641i 0.200384 + 1.30447i
\(40\) 0.00251093 + 0.00330611i 0.000397012 + 0.000522742i
\(41\) −0.920925 6.99512i −0.143824 1.09245i −0.899317 0.437297i \(-0.855936\pi\)
0.755493 0.655157i \(-0.227397\pi\)
\(42\) 0.862877 + 4.38255i 0.133145 + 0.676242i
\(43\) −7.91942 + 3.90542i −1.20770 + 0.595572i −0.930871 0.365348i \(-0.880950\pi\)
−0.276829 + 0.960919i \(0.589283\pi\)
\(44\) −0.934713 0.105495i −0.140913 0.0159039i
\(45\) −0.00159352 0.00410490i −0.000237549 0.000611922i
\(46\) 4.34990 3.17844i 0.641357 0.468635i
\(47\) −6.62143 + 1.77421i −0.965835 + 0.258795i −0.707068 0.707145i \(-0.749983\pi\)
−0.258767 + 0.965940i \(0.583316\pi\)
\(48\) 1.74691 + 6.70435i 0.252144 + 0.967690i
\(49\) −3.54957 0.951104i −0.507081 0.135872i
\(50\) 6.59451 2.55193i 0.932605 0.360897i
\(51\) 6.07202 + 8.67719i 0.850253 + 1.21505i
\(52\) 9.23674 + 2.29259i 1.28091 + 0.317926i
\(53\) −4.66506 + 6.98175i −0.640795 + 0.959018i 0.358876 + 0.933385i \(0.383160\pi\)
−0.999671 + 0.0256324i \(0.991840\pi\)
\(54\) 0.178936 7.34629i 0.0243500 0.999703i
\(55\) 0.000264179 0 0.000637785i 3.56219e−5 0 8.59989e-5i
\(56\) 5.05353 + 1.03128i 0.675307 + 0.137810i
\(57\) 4.02878 10.3510i 0.533625 1.37102i
\(58\) 6.18163 + 9.73870i 0.811688 + 1.27875i
\(59\) −6.01076 6.85395i −0.782534 0.892309i 0.213885 0.976859i \(-0.431388\pi\)
−0.996419 + 0.0845499i \(0.973055\pi\)
\(60\) −0.00508291 0.000129214i −0.000656201 1.66814e-5i
\(61\) 0.683159 + 10.4230i 0.0874695 + 1.33453i 0.785679 + 0.618634i \(0.212314\pi\)
−0.698210 + 0.715893i \(0.746020\pi\)
\(62\) 5.47461 + 3.33446i 0.695276 + 0.423477i
\(63\) −4.85095 2.52888i −0.611163 0.318609i
\(64\) 7.92082 + 1.12279i 0.990102 + 0.140349i
\(65\) −0.00349222 + 0.00604871i −0.000433157 + 0.000750250i
\(66\) 0.816209 0.813037i 0.100468 0.100078i
\(67\) 5.08257 + 2.50645i 0.620935 + 0.306211i 0.725411 0.688316i \(-0.241650\pi\)
−0.104476 + 0.994527i \(0.533317\pi\)
\(68\) 11.9479 2.60739i 1.44890 0.316193i
\(69\) −0.289750 + 6.59182i −0.0348818 + 0.793562i
\(70\) −0.00175335 + 0.00335461i −0.000209565 + 0.000400952i
\(71\) −2.87271 6.93533i −0.340928 0.823072i −0.997622 0.0689156i \(-0.978046\pi\)
0.656695 0.754156i \(-0.271954\pi\)
\(72\) −7.74760 3.46044i −0.913064 0.407817i
\(73\) −4.91883 + 11.8751i −0.575706 + 1.38988i 0.320928 + 0.947104i \(0.396005\pi\)
−0.896634 + 0.442773i \(0.853995\pi\)
\(74\) 4.66405 3.90049i 0.542185 0.453423i
\(75\) −2.60662 + 8.25866i −0.300987 + 0.953628i
\(76\) −9.23544 8.89969i −1.05938 1.02086i
\(77\) −0.275681 0.812129i −0.0314167 0.0925507i
\(78\) −9.26104 + 7.07765i −1.04861 + 0.801386i
\(79\) −0.125919 0.469935i −0.0141670 0.0528718i 0.958481 0.285158i \(-0.0920461\pi\)
−0.972647 + 0.232286i \(0.925379\pi\)
\(80\) −0.00240005 + 0.00535817i −0.000268333 + 0.000599062i
\(81\) 6.88758 + 5.79321i 0.765287 + 0.643690i
\(82\) 8.05640 5.88676i 0.889681 0.650083i
\(83\) −10.2560 8.99430i −1.12575 0.987253i −0.125757 0.992061i \(-0.540136\pi\)
−0.999988 + 0.00480845i \(0.998469\pi\)
\(84\) −4.85357 + 4.04295i −0.529568 + 0.441122i
\(85\) −0.000586982 0.00895562i −6.36671e−5 0.000971373i
\(86\) −10.2174 7.17946i −1.10177 0.774181i
\(87\) −14.0429 1.54214i −1.50556 0.165334i
\(88\) −0.502977 1.23152i −0.0536175 0.131281i
\(89\) 3.50955 1.45370i 0.372012 0.154092i −0.188842 0.982008i \(-0.560473\pi\)
0.560853 + 0.827915i \(0.310473\pi\)
\(90\) 0.00401350 0.00476139i 0.000423060 0.000501894i
\(91\) 1.69284 + 8.51048i 0.177458 + 0.892141i
\(92\) 6.89442 + 3.24270i 0.718793 + 0.338075i
\(93\) −7.37812 + 2.68296i −0.765076 + 0.278210i
\(94\) −6.69226 7.01399i −0.690254 0.723438i
\(95\) 0.00815160 0.00470633i 0.000836337 0.000482859i
\(96\) −7.13540 + 6.71461i −0.728254 + 0.685307i
\(97\) 1.67479 + 0.966939i 0.170049 + 0.0981778i 0.582609 0.812753i \(-0.302032\pi\)
−0.412560 + 0.910930i \(0.635365\pi\)
\(98\) −1.22689 5.05003i −0.123935 0.510130i
\(99\) 0.152782 + 1.40268i 0.0153552 + 0.140974i
\(100\) 7.63916 + 6.45315i 0.763916 + 0.645315i
\(101\) −13.6000 4.61657i −1.35325 0.459366i −0.451748 0.892146i \(-0.649199\pi\)
−0.901500 + 0.432780i \(0.857533\pi\)
\(102\) −6.65053 + 13.4200i −0.658500 + 1.32878i
\(103\) 7.39520 + 5.67454i 0.728671 + 0.559129i 0.905107 0.425183i \(-0.139790\pi\)
−0.176437 + 0.984312i \(0.556457\pi\)
\(104\) 3.41898 + 13.0176i 0.335258 + 1.27648i
\(105\) −0.00186584 0.00424383i −0.000182087 0.000414155i
\(106\) −11.8281 1.05452i −1.14884 0.102424i
\(107\) 0.960741 + 0.641947i 0.0928783 + 0.0620593i 0.601142 0.799142i \(-0.294713\pi\)
−0.508264 + 0.861201i \(0.669713\pi\)
\(108\) 9.23810 4.75998i 0.888937 0.458030i
\(109\) −3.21336 + 16.1546i −0.307784 + 1.54733i 0.448918 + 0.893573i \(0.351809\pi\)
−0.756702 + 0.653760i \(0.773191\pi\)
\(110\) 0.000970651 0 0.000104681i 9.25479e−5 0 9.98092e-6i
\(111\) 0.160253 + 7.44481i 0.0152105 + 0.706630i
\(112\) 2.14734 + 6.97083i 0.202905 + 0.658681i
\(113\) 4.37002 + 1.17094i 0.411097 + 0.110153i 0.458440 0.888726i \(-0.348409\pi\)
−0.0473424 + 0.998879i \(0.515075\pi\)
\(114\) 15.5778 2.02001i 1.45899 0.189191i
\(115\) −0.00368671 + 0.00420389i −0.000343788 + 0.000392015i
\(116\) −7.89353 + 14.2759i −0.732895 + 1.32549i
\(117\) 0.319825 14.2719i 0.0295678 1.31944i
\(118\) 4.42944 12.1075i 0.407763 1.11459i
\(119\) 6.78768 + 8.84588i 0.622226 + 0.810900i
\(120\) −0.00328673 0.00639553i −0.000300036 0.000583829i
\(121\) 6.56171 8.55139i 0.596520 0.777399i
\(122\) −12.4716 + 7.91637i −1.12913 + 0.716715i
\(123\) −0.536644 + 12.2087i −0.0483876 + 1.10082i
\(124\) −0.425350 + 9.05533i −0.0381976 + 0.813193i
\(125\) −0.0122042 + 0.00815457i −0.00109157 + 0.000729367i
\(126\) −0.151435 7.73505i −0.0134909 0.689093i
\(127\) 7.38150 0.655002 0.327501 0.944851i \(-0.393793\pi\)
0.327501 + 0.944851i \(0.393793\pi\)
\(128\) 3.97829 + 10.5912i 0.351634 + 0.936137i
\(129\) 14.6843 4.27540i 1.29288 0.376428i
\(130\) −0.00987478 0.000231793i −0.000866076 2.03296e-5i
\(131\) −12.5531 6.19048i −1.09677 0.540865i −0.198404 0.980120i \(-0.563576\pi\)
−0.898362 + 0.439255i \(0.855242\pi\)
\(132\) 1.56251 + 0.461538i 0.135999 + 0.0401717i
\(133\) 3.75889 11.0733i 0.325937 0.960179i
\(134\) 0.336350 + 8.00727i 0.0290562 + 0.691723i
\(135\) 0.00148131 + 0.00748159i 0.000127491 + 0.000643913i
\(136\) 11.3385 + 13.0591i 0.972268 + 1.11981i
\(137\) −8.10649 10.5646i −0.692584 0.902593i 0.306196 0.951968i \(-0.400944\pi\)
−0.998780 + 0.0493751i \(0.984277\pi\)
\(138\) −8.37696 + 4.11081i −0.713094 + 0.349935i
\(139\) −10.1161 0.663043i −0.858035 0.0562386i −0.369968 0.929045i \(-0.620631\pi\)
−0.488067 + 0.872806i \(0.662298\pi\)
\(140\) −0.00535214 9.90900e-5i −0.000452339 8.37463e-6i
\(141\) 11.8284 1.03134i 0.996127 0.0868542i
\(142\) 6.65856 8.26837i 0.558774 0.693866i
\(143\) 1.58253 1.58253i 0.132338 0.132338i
\(144\) −0.959792 11.9616i −0.0799826 0.996796i
\(145\) −0.00846540 0.00846540i −0.000703013 0.000703013i
\(146\) −18.0728 + 1.94908i −1.49572 + 0.161307i
\(147\) 5.76777 + 2.69163i 0.475718 + 0.222002i
\(148\) 8.00354 + 3.14290i 0.657887 + 0.258344i
\(149\) −0.184936 + 2.82157i −0.0151505 + 0.231152i 0.983568 + 0.180539i \(0.0577842\pi\)
−0.998718 + 0.0506132i \(0.983882\pi\)
\(150\) −12.0167 + 2.36597i −0.981163 + 0.193180i
\(151\) −6.28138 + 4.81987i −0.511171 + 0.392235i −0.831891 0.554939i \(-0.812742\pi\)
0.320720 + 0.947174i \(0.396075\pi\)
\(152\) 4.78131 17.4967i 0.387816 1.41917i
\(153\) −7.74256 16.6295i −0.625949 1.34442i
\(154\) 0.820894 0.892883i 0.0661496 0.0719505i
\(155\) −0.00629989 0.00213852i −0.000506019 0.000171770i
\(156\) −15.0639 6.69311i −1.20608 0.535878i
\(157\) −2.18376 + 4.42824i −0.174283 + 0.353412i −0.966434 0.256913i \(-0.917294\pi\)
0.792151 + 0.610325i \(0.208961\pi\)
\(158\) 0.497795 0.474961i 0.0396025 0.0377859i
\(159\) 10.0603 10.5030i 0.797837 0.832940i
\(160\) −0.00827714 0.000655298i −0.000654365 5.18058e-5i
\(161\) 6.94663i 0.547471i
\(162\) −2.51842 + 12.4763i −0.197865 + 0.980229i
\(163\) −0.424608 0.635471i −0.0332579 0.0497739i 0.814468 0.580208i \(-0.197029\pi\)
−0.847726 + 0.530434i \(0.822029\pi\)
\(164\) 12.7691 + 6.00578i 0.997099 + 0.468972i
\(165\) −0.000642742 0.00100825i −5.00374e−5 7.84920e-5i
\(166\) 4.20659 18.8274i 0.326495 1.46129i
\(167\) −10.2668 7.87798i −0.794468 0.609617i 0.129722 0.991550i \(-0.458592\pi\)
−0.924190 + 0.381934i \(0.875258\pi\)
\(168\) −8.30886 3.28147i −0.641042 0.253171i
\(169\) −7.65057 + 5.87049i −0.588505 + 0.451576i
\(170\) −0.0115120 + 0.00534500i −0.000882930 + 0.000409942i
\(171\) −9.99011 + 16.4413i −0.763963 + 1.25730i
\(172\) 1.98060 17.5487i 0.151019 1.33807i
\(173\) 10.1433 + 8.89544i 0.771181 + 0.676308i 0.951620 0.307279i \(-0.0994184\pi\)
−0.180439 + 0.983586i \(0.557752\pi\)
\(174\) −7.60972 18.4731i −0.576891 1.40044i
\(175\) −2.35981 + 8.80691i −0.178384 + 0.665740i
\(176\) 1.18722 1.45938i 0.0894900 0.110005i
\(177\) 8.18735 + 13.5013i 0.615399 + 1.01482i
\(178\) 4.18412 + 3.36950i 0.313613 + 0.252554i
\(179\) 22.3022 + 4.43619i 1.66695 + 0.331577i 0.936306 0.351185i \(-0.114221\pi\)
0.730642 + 0.682761i \(0.239221\pi\)
\(180\) 0.00863073 + 0.00175172i 0.000643296 + 0.000130566i
\(181\) 3.25196 4.86690i 0.241716 0.361753i −0.690699 0.723142i \(-0.742697\pi\)
0.932415 + 0.361389i \(0.117697\pi\)
\(182\) −9.41348 + 7.87238i −0.697774 + 0.583540i
\(183\) 1.97490 17.9838i 0.145989 1.32940i
\(184\) 0.651401 + 10.7551i 0.0480219 + 0.792876i
\(185\) −0.00384152 + 0.00500636i −0.000282434 + 0.000368075i
\(186\) −8.33318 7.33675i −0.611018 0.537957i
\(187\) 0.924401 2.72320i 0.0675989 0.199140i
\(188\) 4.16587 13.0618i 0.303827 0.952629i
\(189\) 7.51214 + 5.77482i 0.546428 + 0.420057i
\(190\) 0.0113687 + 0.00692445i 0.000824775 + 0.000502352i
\(191\) 7.39107 12.8017i 0.534799 0.926299i −0.464374 0.885639i \(-0.653721\pi\)
0.999173 0.0406601i \(-0.0129461\pi\)
\(192\) −13.1719 4.30139i −0.950598 0.310426i
\(193\) −11.7019 20.2682i −0.842319 1.45894i −0.887929 0.459981i \(-0.847856\pi\)
0.0456095 0.998959i \(-0.485477\pi\)
\(194\) −0.0641797 + 2.73416i −0.00460783 + 0.196301i
\(195\) 0.00777880 0.00926487i 0.000557052 0.000663471i
\(196\) 5.43505 4.94736i 0.388218 0.353383i
\(197\) 16.9466 3.37088i 1.20739 0.240165i 0.449942 0.893058i \(-0.351445\pi\)
0.757451 + 0.652892i \(0.226445\pi\)
\(198\) −1.63711 + 1.14086i −0.116344 + 0.0810772i
\(199\) −1.16343 2.80878i −0.0824736 0.199109i 0.877263 0.480010i \(-0.159367\pi\)
−0.959737 + 0.280901i \(0.909367\pi\)
\(200\) −2.82771 + 13.8565i −0.199950 + 0.979806i
\(201\) −7.91396 5.80634i −0.558208 0.409548i
\(202\) −3.49394 20.0084i −0.245833 1.40779i
\(203\) −14.8416 0.972767i −1.04167 0.0682749i
\(204\) −21.1644 + 0.847752i −1.48181 + 0.0593545i
\(205\) −0.00682813 + 0.00778599i −0.000476897 + 0.000543797i
\(206\) −2.02689 + 13.0258i −0.141220 + 0.907547i
\(207\) 2.48013 11.1560i 0.172381 0.775399i
\(208\) −13.8362 + 13.0711i −0.959366 + 0.906318i
\(209\) −2.91334 + 0.780627i −0.201520 + 0.0539971i
\(210\) 0.00400124 0.00519355i 0.000276112 0.000358389i
\(211\) −3.58993 + 1.21862i −0.247141 + 0.0838930i −0.442261 0.896886i \(-0.645824\pi\)
0.195120 + 0.980779i \(0.437490\pi\)
\(212\) −6.71280 15.3938i −0.461037 1.05725i
\(213\) 2.81042 + 12.6947i 0.192567 + 0.869826i
\(214\) −0.145110 + 1.62763i −0.00991949 + 0.111263i
\(215\) 0.0119740 + 0.00495980i 0.000816621 + 0.000338255i
\(216\) 12.1722 + 8.23641i 0.828211 + 0.560417i
\(217\) −7.63622 + 3.16302i −0.518380 + 0.214720i
\(218\) −22.2271 + 6.96783i −1.50541 + 0.471921i
\(219\) 11.9674 18.7729i 0.808683 1.26855i
\(220\) 0.000788177 0.00113359i 5.31389e−5 7.64264e-5i
\(221\) −12.8689 + 26.0955i −0.865654 + 1.75537i
\(222\) −9.13034 + 5.24773i −0.612788 + 0.352204i
\(223\) 22.8371 + 13.1850i 1.52928 + 0.882932i 0.999392 + 0.0348656i \(0.0111003\pi\)
0.529890 + 0.848066i \(0.322233\pi\)
\(224\) −7.19453 + 7.39227i −0.480705 + 0.493917i
\(225\) 6.93406 13.3011i 0.462271 0.886738i
\(226\) 1.51048 + 6.21731i 0.100476 + 0.413569i
\(227\) 19.5237 1.27965i 1.29583 0.0849335i 0.598176 0.801365i \(-0.295892\pi\)
0.697658 + 0.716431i \(0.254226\pi\)
\(228\) 13.0712 + 17.9621i 0.865662 + 1.18957i
\(229\) 13.8516 12.1475i 0.915336 0.802728i −0.0654415 0.997856i \(-0.520846\pi\)
0.980778 + 0.195128i \(0.0625122\pi\)
\(230\) −0.00771726 0.00172426i −0.000508861 0.000113694i
\(231\) 0.225544 + 1.46826i 0.0148397 + 0.0966045i
\(232\) −23.0696 0.114356i −1.51459 0.00750787i
\(233\) −2.62420 1.08698i −0.171917 0.0712104i 0.295065 0.955477i \(-0.404659\pi\)
−0.466982 + 0.884267i \(0.654659\pi\)
\(234\) 17.9284 9.28190i 1.17201 0.606777i
\(235\) 0.00836598 + 0.00558997i 0.000545736 + 0.000364649i
\(236\) 18.0294 2.71402i 1.17361 0.176668i
\(237\) 0.0731958 + 0.839479i 0.00475458 + 0.0545300i
\(238\) −6.37454 + 14.4225i −0.413200 + 0.934875i
\(239\) 1.47586 5.50798i 0.0954655 0.356282i −0.901624 0.432520i \(-0.857624\pi\)
0.997090 + 0.0762384i \(0.0242910\pi\)
\(240\) 0.00570789 0.00841609i 0.000368443 0.000543257i
\(241\) −1.66912 6.22925i −0.107518 0.401261i 0.891101 0.453805i \(-0.149934\pi\)
−0.998619 + 0.0525437i \(0.983267\pi\)
\(242\) 15.0623 + 2.34379i 0.968238 + 0.150664i
\(243\) −10.0025 11.9562i −0.641659 0.766990i
\(244\) −18.2821 10.1087i −1.17039 0.647141i
\(245\) 0.00238561 + 0.00483754i 0.000152411 + 0.000309059i
\(246\) −15.5149 + 7.61358i −0.989194 + 0.485424i
\(247\) 30.2544 3.98307i 1.92504 0.253437i
\(248\) −11.5261 + 5.61320i −0.731910 + 0.356439i
\(249\) 14.7835 + 18.4309i 0.936865 + 1.16801i
\(250\) −0.0183963 0.00961520i −0.00116349 0.000608119i
\(251\) −10.0954 + 2.00810i −0.637217 + 0.126750i −0.503118 0.864218i \(-0.667814\pi\)
−0.134099 + 0.990968i \(0.542814\pi\)
\(252\) 9.49651 5.43362i 0.598224 0.342286i
\(253\) 1.48973 0.995406i 0.0936585 0.0625806i
\(254\) 5.00592 + 9.16045i 0.314099 + 0.574778i
\(255\) 0.00369924 0.0150983i 0.000231656 0.000945492i
\(256\) −10.4457 + 12.1197i −0.652857 + 0.757481i
\(257\) −7.41081 12.8359i −0.462274 0.800682i 0.536800 0.843709i \(-0.319633\pi\)
−0.999074 + 0.0430278i \(0.986300\pi\)
\(258\) 15.2643 + 15.3238i 0.950311 + 0.954019i
\(259\) 0.512746 + 7.82299i 0.0318605 + 0.486097i
\(260\) −0.00640914 0.0124118i −0.000397478 0.000769748i
\(261\) 23.4877 + 6.86106i 1.45385 + 0.424689i
\(262\) −0.830726 19.7766i −0.0513225 1.22180i
\(263\) −4.53217 0.596672i −0.279466 0.0367924i −0.0105095 0.999945i \(-0.503345\pi\)
−0.268956 + 0.963152i \(0.586679\pi\)
\(264\) 0.486880 + 2.25208i 0.0299654 + 0.138606i
\(265\) 0.0122194 0.00160871i 0.000750630 9.88223e-5i
\(266\) 16.2912 2.84483i 0.998877 0.174428i
\(267\) −6.42402 + 1.42219i −0.393143 + 0.0870363i
\(268\) −9.70893 + 5.84771i −0.593067 + 0.357206i
\(269\) 7.39052 + 1.47007i 0.450608 + 0.0896315i 0.415177 0.909741i \(-0.363720\pi\)
0.0354309 + 0.999372i \(0.488720\pi\)
\(270\) −0.00828008 + 0.00691211i −0.000503910 + 0.000420658i
\(271\) 5.32134 5.32134i 0.323248 0.323248i −0.526764 0.850012i \(-0.676595\pi\)
0.850012 + 0.526764i \(0.176595\pi\)
\(272\) −8.51691 + 22.9274i −0.516414 + 1.39018i
\(273\) −0.323439 15.0259i −0.0195754 0.909408i
\(274\) 7.61307 17.2248i 0.459922 1.04059i
\(275\) 2.22682 0.755903i 0.134282 0.0455827i
\(276\) −10.7825 7.60799i −0.649032 0.457947i
\(277\) 5.08288 2.50660i 0.305401 0.150607i −0.283131 0.959081i \(-0.591373\pi\)
0.588531 + 0.808474i \(0.299706\pi\)
\(278\) −6.03760 13.0037i −0.362111 0.779912i
\(279\) 13.3928 2.35337i 0.801804 0.140893i
\(280\) −0.00375264 0.00657482i −0.000224263 0.000392920i
\(281\) −0.712804 + 5.41428i −0.0425223 + 0.322989i 0.956943 + 0.290277i \(0.0937476\pi\)
−0.999465 + 0.0327116i \(0.989586\pi\)
\(282\) 9.30154 + 13.9796i 0.553898 + 0.832472i
\(283\) 1.82949 1.60442i 0.108752 0.0953730i −0.603243 0.797557i \(-0.706125\pi\)
0.711995 + 0.702184i \(0.247792\pi\)
\(284\) 14.7767 + 2.65591i 0.876836 + 0.157599i
\(285\) −0.0153216 + 0.00557151i −0.000907576 + 0.000330028i
\(286\) 3.03715 + 0.890696i 0.179590 + 0.0526679i
\(287\) 12.8658i 0.759444i
\(288\) 14.1934 9.30308i 0.836354 0.548190i
\(289\) 20.3877i 1.19928i
\(290\) 0.00476458 0.0162466i 0.000279786 0.000954031i
\(291\) −2.56529 2.15382i −0.150380 0.126259i
\(292\) −14.6753 21.1066i −0.858806 1.23517i
\(293\) 6.85285 6.00979i 0.400348 0.351096i −0.435373 0.900250i \(-0.643384\pi\)
0.835721 + 0.549155i \(0.185050\pi\)
\(294\) 0.571228 + 8.98320i 0.0333147 + 0.523911i
\(295\) −0.00174653 + 0.0132662i −0.000101687 + 0.000772388i
\(296\) 1.52744 + 12.0638i 0.0887804 + 0.701196i
\(297\) 0.161992 2.43850i 0.00939970 0.141496i
\(298\) −3.62699 + 1.68400i −0.210106 + 0.0975518i
\(299\) −16.2579 + 8.01752i −0.940220 + 0.463665i
\(300\) −11.0856 13.3083i −0.640026 0.768353i
\(301\) 15.2472 5.17573i 0.878835 0.298324i
\(302\) −10.2413 4.52650i −0.589321 0.260471i
\(303\) 21.8059 + 11.9715i 1.25272 + 0.687745i
\(304\) 24.9560 5.93215i 1.43132 0.340232i
\(305\) 0.0108410 0.0108410i 0.000620755 0.000620755i
\(306\) 15.3865 20.8862i 0.879588 1.19399i
\(307\) −1.95167 0.388211i −0.111388 0.0221564i 0.139082 0.990281i \(-0.455585\pi\)
−0.250469 + 0.968125i \(0.580585\pi\)
\(308\) 1.66478 + 0.413204i 0.0948594 + 0.0235445i
\(309\) −10.9040 11.9067i −0.620309 0.677349i
\(310\) −0.00161849 0.00926845i −9.19242e−5 0.000526413i
\(311\) −0.509199 + 0.0670373i −0.0288740 + 0.00380134i −0.144949 0.989439i \(-0.546302\pi\)
0.116075 + 0.993240i \(0.462969\pi\)
\(312\) −1.90977 23.2334i −0.108120 1.31533i
\(313\) −7.89857 1.03987i −0.446454 0.0587767i −0.0960520 0.995376i \(-0.530622\pi\)
−0.350401 + 0.936600i \(0.613955\pi\)
\(314\) −6.97641 + 0.293048i −0.393702 + 0.0165377i
\(315\) 0.00190393 + 0.00780060i 0.000107274 + 0.000439514i
\(316\) 0.927018 + 0.295659i 0.0521488 + 0.0166321i
\(317\) 1.31376 + 20.0442i 0.0737884 + 1.12579i 0.860830 + 0.508893i \(0.169945\pi\)
−0.787041 + 0.616900i \(0.788388\pi\)
\(318\) 19.8568 + 5.36208i 1.11352 + 0.300690i
\(319\) 1.91808 + 3.32222i 0.107392 + 0.186008i
\(320\) −0.00642654 0.00982753i −0.000359255 0.000549376i
\(321\) −1.44529 1.38438i −0.0806681 0.0772684i
\(322\) −8.62078 + 4.71101i −0.480417 + 0.262534i
\(323\) 32.6032 21.7848i 1.81409 1.21214i
\(324\) −17.1910 + 5.33570i −0.955055 + 0.296428i
\(325\) −23.3353 + 4.64169i −1.29441 + 0.257474i
\(326\) 0.500663 0.957897i 0.0277292 0.0530530i
\(327\) 10.3478 26.5860i 0.572232 1.47021i
\(328\) 1.20645 + 19.9194i 0.0666153 + 1.09987i
\(329\) 12.3933 1.63161i 0.683265 0.0899535i
\(330\) −0.00168713 0.000113879i −9.28733e−5 6.26884e-6i
\(331\) −10.3737 21.0359i −0.570192 1.15624i −0.970779 0.239976i \(-0.922860\pi\)
0.400587 0.916259i \(-0.368806\pi\)
\(332\) 26.2176 7.54783i 1.43888 0.414241i
\(333\) 1.96956 12.7465i 0.107931 0.698504i
\(334\) 2.81395 18.0837i 0.153972 0.989497i
\(335\) −0.00215283 0.00803449i −0.000117622 0.000438971i
\(336\) −1.56252 12.5367i −0.0852422 0.683933i
\(337\) −7.24677 + 27.0453i −0.394757 + 1.47325i 0.427437 + 0.904045i \(0.359416\pi\)
−0.822194 + 0.569207i \(0.807250\pi\)
\(338\) −12.4737 5.51317i −0.678478 0.299877i
\(339\) −7.10095 3.31378i −0.385671 0.179980i
\(340\) −0.0144403 0.0106616i −0.000783133 0.000578206i
\(341\) 1.77254 + 1.18437i 0.0959885 + 0.0641374i
\(342\) −27.1787 1.24769i −1.46966 0.0674673i
\(343\) 17.9839 + 7.44918i 0.971041 + 0.402218i
\(344\) 23.1211 9.44306i 1.24661 0.509136i
\(345\) 0.00755474 0.00605967i 0.000406734 0.000326241i
\(346\) −4.16035 + 18.6205i −0.223662 + 1.00104i
\(347\) −4.61835 + 4.05019i −0.247926 + 0.217425i −0.774285 0.632837i \(-0.781890\pi\)
0.526359 + 0.850263i \(0.323557\pi\)
\(348\) 17.7645 21.9716i 0.952276 1.17780i
\(349\) 3.71449 0.243460i 0.198832 0.0130321i 0.0343383 0.999410i \(-0.489068\pi\)
0.164494 + 0.986378i \(0.447401\pi\)
\(350\) −12.5297 + 3.04407i −0.669743 + 0.162713i
\(351\) −4.84521 + 24.2465i −0.258618 + 1.29418i
\(352\) 2.61623 + 0.483631i 0.139445 + 0.0257776i
\(353\) 1.41149 + 0.814926i 0.0751262 + 0.0433741i 0.537093 0.843523i \(-0.319523\pi\)
−0.461966 + 0.886897i \(0.652856\pi\)
\(354\) −11.2027 + 19.3167i −0.595417 + 1.02667i
\(355\) −0.00487326 + 0.00988199i −0.000258646 + 0.000524482i
\(356\) −1.34400 + 7.47760i −0.0712317 + 0.396312i
\(357\) −8.91240 17.1329i −0.471694 0.906768i
\(358\) 9.61942 + 30.6856i 0.508402 + 1.62178i
\(359\) 9.93881 4.11679i 0.524550 0.217276i −0.104664 0.994508i \(-0.533377\pi\)
0.629214 + 0.777232i \(0.283377\pi\)
\(360\) 0.00367922 + 0.0118987i 0.000193912 + 0.000627117i
\(361\) −20.4404 8.46667i −1.07581 0.445614i
\(362\) 8.24521 + 0.735092i 0.433358 + 0.0386356i
\(363\) −13.7683 + 12.6088i −0.722646 + 0.661792i
\(364\) −16.1536 6.34332i −0.846678 0.332480i
\(365\) 0.0178650 0.00606434i 0.000935095 0.000317422i
\(366\) 23.6572 9.74522i 1.23658 0.509391i
\(367\) −24.4424 + 6.54933i −1.27589 + 0.341872i −0.832283 0.554351i \(-0.812966\pi\)
−0.443603 + 0.896224i \(0.646300\pi\)
\(368\) −12.9053 + 8.10218i −0.672736 + 0.422355i
\(369\) 4.59343 20.6620i 0.239124 1.07562i
\(370\) −0.00881811 0.00137216i −0.000458431 7.13350e-5i
\(371\) 10.0958 11.5121i 0.524149 0.597677i
\(372\) 3.45360 15.3171i 0.179061 0.794153i
\(373\) 19.2656 + 1.26274i 0.997537 + 0.0653820i 0.555415 0.831573i \(-0.312559\pi\)
0.442122 + 0.896955i \(0.354226\pi\)
\(374\) 4.00639 0.699612i 0.207166 0.0361761i
\(375\) 0.0232728 0.0102321i 0.00120180 0.000528382i
\(376\) 19.0349 3.68828i 0.981648 0.190208i
\(377\) −14.8529 35.8580i −0.764961 1.84678i
\(378\) −2.07204 + 13.2389i −0.106574 + 0.680935i
\(379\) −21.6027 + 4.29704i −1.10966 + 0.220724i −0.715702 0.698406i \(-0.753893\pi\)
−0.393954 + 0.919130i \(0.628893\pi\)
\(380\) −0.000883296 0.0188046i −4.53121e−5 0.000964655i
\(381\) −12.5902 2.22382i −0.645018 0.113930i
\(382\) 20.8994 + 0.490576i 1.06930 + 0.0251000i
\(383\) 1.25099 + 2.16678i 0.0639228 + 0.110717i 0.896216 0.443619i \(-0.146306\pi\)
−0.832293 + 0.554336i \(0.812972\pi\)
\(384\) −3.59475 19.2634i −0.183444 0.983030i
\(385\) −0.000629418 0.00109018i −3.20781e−5 5.55609e-5i
\(386\) 17.2170 28.2674i 0.876324 1.43877i
\(387\) −26.3343 + 2.86838i −1.33865 + 0.145808i
\(388\) −3.43662 + 1.77458i −0.174468 + 0.0900908i
\(389\) −1.09150 + 3.21545i −0.0553412 + 0.163030i −0.971086 0.238731i \(-0.923268\pi\)
0.915744 + 0.401761i \(0.131602\pi\)
\(390\) 0.0167731 + 0.00337033i 0.000849338 + 0.000170663i
\(391\) −14.1800 + 18.4797i −0.717112 + 0.934559i
\(392\) 9.82557 + 3.38974i 0.496266 + 0.171208i
\(393\) 19.5461 + 14.3406i 0.985971 + 0.723390i
\(394\) 15.6759 + 18.7447i 0.789743 + 0.944343i
\(395\) −0.000396730 0 0.000593748i −1.99616e−5 0 2.98747e-5i
\(396\) −2.52605 1.25796i −0.126939 0.0632148i
\(397\) −28.2664 5.62253i −1.41865 0.282187i −0.574592 0.818440i \(-0.694839\pi\)
−0.844057 + 0.536253i \(0.819839\pi\)
\(398\) 2.69669 3.34866i 0.135173 0.167853i
\(399\) −9.74740 + 17.7548i −0.487980 + 0.888850i
\(400\) −19.1137 + 5.88791i −0.955683 + 0.294396i
\(401\) −7.51625 + 28.0510i −0.375344 + 1.40080i 0.477498 + 0.878633i \(0.341544\pi\)
−0.852842 + 0.522169i \(0.825123\pi\)
\(402\) 1.83865 13.7589i 0.0917037 0.686233i
\(403\) −16.2162 14.2212i −0.807785 0.708408i
\(404\) 22.4610 17.9051i 1.11747 0.890813i
\(405\) −0.000272618 0.0132072i −1.35465e−5 0.000656273i
\(406\) −8.85791 19.0781i −0.439611 0.946830i
\(407\) 1.60420 1.23094i 0.0795170 0.0610155i
\(408\) −15.4052 25.6902i −0.762670 1.27185i
\(409\) −16.0898 12.3462i −0.795591 0.610479i 0.128910 0.991656i \(-0.458852\pi\)
−0.924502 + 0.381177i \(0.875519\pi\)
\(410\) −0.0142931 0.00319348i −0.000705884 0.000157715i
\(411\) 10.6440 + 20.4617i 0.525031 + 1.00930i
\(412\) −17.5396 + 6.31832i −0.864112 + 0.311281i
\(413\) 9.23560 + 13.8220i 0.454454 + 0.680138i
\(414\) 15.5266 4.48786i 0.763091 0.220566i
\(415\) 0.0200224i 0.000982861i
\(416\) −25.6045 8.30626i −1.25537 0.407248i
\(417\) 17.0547 + 4.17859i 0.835174 + 0.204626i
\(418\) −2.94450 3.08606i −0.144020 0.150944i
\(419\) −1.33903 + 2.71528i −0.0654159 + 0.132650i −0.927125 0.374752i \(-0.877728\pi\)
0.861709 + 0.507403i \(0.169394\pi\)
\(420\) 0.00915873 + 0.00144343i 0.000446900 + 7.04320e-5i
\(421\) −32.8250 11.1426i −1.59979 0.543056i −0.627862 0.778325i \(-0.716070\pi\)
−0.971930 + 0.235269i \(0.924403\pi\)
\(422\) −3.94689 3.62868i −0.192132 0.176641i
\(423\) −20.4857 1.80443i −0.996050 0.0877343i
\(424\) 14.5513 18.7702i 0.706673 0.911562i
\(425\) −24.2550 + 18.6115i −1.17654 + 0.902790i
\(426\) −13.8482 + 12.0969i −0.670946 + 0.586097i
\(427\) 1.24575 19.0065i 0.0602862 0.919790i
\(428\) −2.11830 + 0.923731i −0.102392 + 0.0446502i
\(429\) −3.17601 + 2.22247i −0.153339 + 0.107302i
\(430\) 0.00196532 + 0.0182234i 9.47759e−5 + 0.000878808i
\(431\) −6.22334 6.22334i −0.299768 0.299768i 0.541155 0.840923i \(-0.317987\pi\)
−0.840923 + 0.541155i \(0.817987\pi\)
\(432\) −1.96659 + 20.6914i −0.0946175 + 0.995514i
\(433\) 6.55162 6.55162i 0.314851 0.314851i −0.531935 0.846785i \(-0.678535\pi\)
0.846785 + 0.531935i \(0.178535\pi\)
\(434\) −9.10398 7.33148i −0.437005 0.351922i
\(435\) 0.0118886 + 0.0169894i 0.000570016 + 0.000814577i
\(436\) −23.7209 22.8585i −1.13602 1.09472i
\(437\) 24.3772 + 1.59776i 1.16612 + 0.0764315i
\(438\) 31.4131 + 2.12035i 1.50098 + 0.101314i
\(439\) −19.0516 24.8285i −0.909284 1.18500i −0.982233 0.187666i \(-0.939908\pi\)
0.0729494 0.997336i \(-0.476759\pi\)
\(440\) −0.000872265 0.00174689i −4.15836e−5 8.32799e-5i
\(441\) −9.02689 6.32862i −0.429852 0.301363i
\(442\) −41.1118 + 1.72693i −1.95549 + 0.0821415i
\(443\) 11.0729 32.6196i 0.526087 1.54980i −0.281202 0.959648i \(-0.590733\pi\)
0.807290 0.590155i \(-0.200933\pi\)
\(444\) −12.7044 7.77190i −0.602923 0.368838i
\(445\) −0.00500068 0.00246606i −0.000237055 0.000116903i
\(446\) −0.875141 + 37.2825i −0.0414391 + 1.76538i
\(447\) 1.16549 4.75690i 0.0551258 0.224993i
\(448\) −14.0529 3.91520i −0.663939 0.184976i
\(449\) −10.2421 −0.483355 −0.241677 0.970357i \(-0.577698\pi\)
−0.241677 + 0.970357i \(0.577698\pi\)
\(450\) 21.2091 0.415228i 0.999808 0.0195740i
\(451\) 2.75912 1.84358i 0.129922 0.0868109i
\(452\) −6.69132 + 6.09091i −0.314733 + 0.286492i
\(453\) 12.1659 6.32861i 0.571604 0.297344i
\(454\) 14.8285 + 23.3611i 0.695934 + 1.09639i
\(455\) 0.00775335 0.0101044i 0.000363483 0.000473700i
\(456\) −13.4265 + 28.4028i −0.628752 + 1.33008i
\(457\) 20.0241 + 26.0959i 0.936688 + 1.22072i 0.975170 + 0.221456i \(0.0710809\pi\)
−0.0384826 + 0.999259i \(0.512252\pi\)
\(458\) 24.4688 + 8.95172i 1.14335 + 0.418286i
\(459\) 8.19611 + 30.6968i 0.382562 + 1.43280i
\(460\) −0.00309382 0.0107465i −0.000144250 0.000501057i
\(461\) 19.4644 22.1949i 0.906550 1.03372i −0.0927270 0.995692i \(-0.529558\pi\)
0.999277 0.0380301i \(-0.0121083\pi\)
\(462\) −1.66916 + 1.27563i −0.0776562 + 0.0593478i
\(463\) 33.6456 + 9.01532i 1.56365 + 0.418978i 0.933815 0.357755i \(-0.116458\pi\)
0.629830 + 0.776733i \(0.283124\pi\)
\(464\) −15.5032 28.7069i −0.719719 1.33269i
\(465\) 0.0101011 + 0.00554554i 0.000468428 + 0.000257168i
\(466\) −0.430715 3.99379i −0.0199525 0.185009i
\(467\) 4.23237 21.2776i 0.195851 0.984608i −0.750353 0.661037i \(-0.770117\pi\)
0.946204 0.323571i \(-0.104883\pi\)
\(468\) 23.6774 + 15.9544i 1.09449 + 0.737492i
\(469\) −8.59229 5.74118i −0.396755 0.265103i
\(470\) −0.00126359 + 0.0141731i −5.82851e−5 + 0.000653758i
\(471\) 5.05883 6.89511i 0.233098 0.317710i
\(472\) 15.5951 + 20.5339i 0.717822 + 0.945148i
\(473\) −3.29478 2.52817i −0.151494 0.116245i
\(474\) −0.992155 + 0.660147i −0.0455712 + 0.0303215i
\(475\) 30.3625 + 10.3067i 1.39313 + 0.472903i
\(476\) −22.2214 + 1.87015i −1.01852 + 0.0857181i
\(477\) −20.3236 + 14.8835i −0.930555 + 0.681469i
\(478\) 7.83630 1.90381i 0.358424 0.0870784i
\(479\) 17.3793 + 10.0340i 0.794082 + 0.458463i 0.841398 0.540417i \(-0.181733\pi\)
−0.0473156 + 0.998880i \(0.515067\pi\)
\(480\) 0.0143153 + 0.00137594i 0.000653402 + 6.28030e-5i
\(481\) −17.7172 + 10.2290i −0.807833 + 0.466403i
\(482\) 6.59856 6.29588i 0.300556 0.286770i
\(483\) 2.09281 11.8485i 0.0952262 0.539126i
\(484\) 7.30615 + 20.2818i 0.332098 + 0.921898i
\(485\) −0.000553767 0.00278397i −2.51453e−5 0.000126414i
\(486\) 8.05426 20.5214i 0.365349 0.930871i
\(487\) −7.89910 + 3.27191i −0.357942 + 0.148265i −0.554406 0.832247i \(-0.687054\pi\)
0.196463 + 0.980511i \(0.437054\pi\)
\(488\) 0.146448 29.5436i 0.00662939 1.33737i
\(489\) 0.532784 + 1.21181i 0.0240933 + 0.0548000i
\(490\) −0.00438554 + 0.00624122i −0.000198118 + 0.000281950i
\(491\) −0.0461372 + 0.703917i −0.00208214 + 0.0317673i −0.998774 0.0495112i \(-0.984234\pi\)
0.996691 + 0.0812785i \(0.0259003\pi\)
\(492\) −19.9702 14.0907i −0.900327 0.635257i
\(493\) −37.4964 32.8835i −1.68875 1.48100i
\(494\) 25.4607 + 34.8446i 1.14553 + 1.56773i
\(495\) 0.00140005 0.00152608i 6.29274e−5 6.85921e-5i
\(496\) −14.7827 10.4972i −0.663762 0.471340i
\(497\) 3.54289 + 13.2223i 0.158920 + 0.593099i
\(498\) −12.8471 + 30.8456i −0.575692 + 1.38223i
\(499\) 13.4943 + 39.7529i 0.604088 + 1.77959i 0.625997 + 0.779826i \(0.284692\pi\)
−0.0219090 + 0.999760i \(0.506974\pi\)
\(500\) −0.000543400 0.0293506i −2.43016e−5 0.00131260i
\(501\) 15.1381 + 16.5301i 0.676322 + 0.738512i
\(502\) −9.33848 11.1666i −0.416797 0.498389i
\(503\) 0.570737 1.37788i 0.0254479 0.0614367i −0.910645 0.413190i \(-0.864414\pi\)
0.936093 + 0.351753i \(0.114414\pi\)
\(504\) 13.1834 + 8.10025i 0.587235 + 0.360814i
\(505\) 0.00806718 + 0.0194759i 0.000358985 + 0.000866666i
\(506\) 2.24559 + 1.17370i 0.0998287 + 0.0521774i
\(507\) 14.8178 7.70810i 0.658081 0.342329i
\(508\) −7.97326 + 12.4247i −0.353756 + 0.551257i
\(509\) 33.2229 + 16.3837i 1.47258 + 0.726195i 0.988835 0.149015i \(-0.0476102\pi\)
0.483743 + 0.875210i \(0.339277\pi\)
\(510\) 0.0212457 0.00564846i 0.000940776 0.000250118i
\(511\) 11.7193 20.2985i 0.518432 0.897951i
\(512\) −22.1245 4.74392i −0.977776 0.209653i
\(513\) 21.9929 25.0334i 0.971010 1.10525i
\(514\) 10.9036 17.9018i 0.480936 0.789613i
\(515\) −0.000894837 0.0136526i −3.94312e−5 0.000601604i
\(516\) −8.66508 + 29.3351i −0.381459 + 1.29141i
\(517\) −2.12578 2.42399i −0.0934917 0.106607i
\(518\) −9.36061 + 5.94164i −0.411282 + 0.261061i
\(519\) −14.6210 18.2284i −0.641790 0.800136i
\(520\) 0.0110566 0.0163711i 0.000484863 0.000717919i
\(521\) −6.29127 + 15.1885i −0.275625 + 0.665418i −0.999705 0.0242982i \(-0.992265\pi\)
0.724079 + 0.689717i \(0.242265\pi\)
\(522\) 7.41411 + 33.8012i 0.324507 + 1.47944i
\(523\) −16.3087 + 24.4077i −0.713131 + 1.06728i 0.281065 + 0.959689i \(0.409312\pi\)
−0.994196 + 0.107587i \(0.965688\pi\)
\(524\) 23.9794 14.4428i 1.04754 0.630938i
\(525\) 6.67825 14.3106i 0.291463 0.624564i
\(526\) −2.33312 6.02908i −0.101729 0.262880i
\(527\) −26.7708 7.17321i −1.16615 0.312470i
\(528\) −2.46464 + 2.13151i −0.107260 + 0.0927622i
\(529\) 8.19874 2.19685i 0.356467 0.0955151i
\(530\) 0.0102832 + 0.0140733i 0.000446675 + 0.000611304i
\(531\) −9.89721 25.4951i −0.429502 1.10639i
\(532\) 14.5786 + 18.2881i 0.632065 + 0.792890i
\(533\) −30.1112 + 14.8492i −1.30426 + 0.643189i
\(534\) −6.12152 7.00773i −0.264904 0.303254i
\(535\) −0.000221370 0.00168148i −9.57068e−6 7.26965e-5i
\(536\) −13.8413 8.08304i −0.597855 0.349134i
\(537\) −36.7033 14.2856i −1.58386 0.616468i
\(538\) 3.18769 + 10.1686i 0.137431 + 0.438400i
\(539\) −0.337182 1.69513i −0.0145235 0.0730143i
\(540\) −0.0141932 0.00558800i −0.000610780 0.000240469i
\(541\) −5.91479 8.85211i −0.254297 0.380582i 0.682253 0.731116i \(-0.261000\pi\)
−0.936550 + 0.350534i \(0.886000\pi\)
\(542\) 10.2126 + 2.99501i 0.438667 + 0.128647i
\(543\) −7.01294 + 7.32150i −0.300954 + 0.314195i
\(544\) −34.2288 + 4.97920i −1.46755 + 0.213481i
\(545\) 0.0209371 0.0120880i 0.000896845 0.000517794i
\(546\) 18.4278 10.5915i 0.788637 0.453275i
\(547\) 17.5315 1.14907i 0.749592 0.0491309i 0.314182 0.949363i \(-0.398270\pi\)
0.435410 + 0.900232i \(0.356603\pi\)
\(548\) 26.5389 2.23351i 1.13369 0.0954107i
\(549\) −8.78646 + 30.0790i −0.374997 + 1.28374i
\(550\) 2.44824 + 2.25085i 0.104393 + 0.0959767i
\(551\) −6.82729 + 51.8584i −0.290852 + 2.20924i
\(552\) 2.12912 18.5406i 0.0906215 0.789142i
\(553\) 0.115798 + 0.879574i 0.00492424 + 0.0374033i
\(554\) 6.55776 + 4.60796i 0.278612 + 0.195773i
\(555\) 0.00806054 0.00738176i 0.000342151 0.000313338i
\(556\) 12.0431 16.3114i 0.510742 0.691759i
\(557\) −4.78778 + 24.0698i −0.202865 + 1.01987i 0.736366 + 0.676584i \(0.236540\pi\)
−0.939231 + 0.343287i \(0.888460\pi\)
\(558\) 12.0031 + 15.0245i 0.508133 + 0.636036i
\(559\) 29.7110 + 29.7110i 1.25664 + 1.25664i
\(560\) 0.00561442 0.00911588i 0.000237253 0.000385216i
\(561\) −2.39712 + 4.36632i −0.101207 + 0.184346i
\(562\) −7.20253 + 2.78722i −0.303821 + 0.117572i
\(563\) −7.55406 22.2535i −0.318366 0.937875i −0.981846 0.189681i \(-0.939255\pi\)
0.663480 0.748194i \(-0.269079\pi\)
\(564\) −11.0406 + 21.0238i −0.464894 + 0.885260i
\(565\) −0.00293703 0.00595570i −0.000123562 0.000250558i
\(566\) 3.23180 + 1.18233i 0.135843 + 0.0496970i
\(567\) −11.0733 12.1130i −0.465035 0.508698i
\(568\) 6.72515 + 20.1391i 0.282181 + 0.845017i
\(569\) −28.0009 3.68639i −1.17386 0.154541i −0.481733 0.876318i \(-0.659992\pi\)
−0.692126 + 0.721777i \(0.743326\pi\)
\(570\) −0.0173049 0.0152357i −0.000724824 0.000638155i
\(571\) −11.8267 13.4858i −0.494932 0.564361i 0.449411 0.893325i \(-0.351634\pi\)
−0.944343 + 0.328964i \(0.893301\pi\)
\(572\) 0.954353 + 4.37315i 0.0399035 + 0.182851i
\(573\) −16.4633 + 19.6085i −0.687766 + 0.819157i
\(574\) −15.9665 + 8.72521i −0.666427 + 0.364183i
\(575\) −19.0473 −0.794328
\(576\) 21.1707 + 11.3049i 0.882112 + 0.471039i
\(577\) 28.7912 1.19859 0.599296 0.800527i \(-0.295447\pi\)
0.599296 + 0.800527i \(0.295447\pi\)
\(578\) −25.3011 + 13.8263i −1.05239 + 0.575100i
\(579\) 13.8531 + 38.0959i 0.575714 + 1.58321i
\(580\) 0.0233932 0.00510510i 0.000971350 0.000211978i
\(581\) 16.4013 + 18.7021i 0.680439 + 0.775892i
\(582\) 0.933189 4.64419i 0.0386819 0.192508i
\(583\) −3.91547 0.515481i −0.162162 0.0213490i
\(584\) 16.2410 32.5259i 0.672055 1.34593i
\(585\) −0.0160591 + 0.0134591i −0.000663963 + 0.000556465i
\(586\) 12.1056 + 4.42873i 0.500076 + 0.182949i
\(587\) 7.28848 + 14.7796i 0.300828 + 0.610019i 0.993830 0.110917i \(-0.0353788\pi\)
−0.693002 + 0.720936i \(0.743712\pi\)
\(588\) −10.7608 + 6.80104i −0.443767 + 0.280470i
\(589\) 9.34334 + 27.5246i 0.384986 + 1.13413i
\(590\) −0.0176478 + 0.00682931i −0.000726549 + 0.000281158i
\(591\) −29.9204 + 0.644050i −1.23076 + 0.0264927i
\(592\) −13.9354 + 10.0769i −0.572740 + 0.414158i
\(593\) −0.133137 0.133137i −0.00546726 0.00546726i 0.704368 0.709835i \(-0.251231\pi\)
−0.709835 + 0.704368i \(0.751231\pi\)
\(594\) 3.13604 1.45269i 0.128673 0.0596045i
\(595\) 0.00319280 0.0160513i 0.000130892 0.000658039i
\(596\) −4.54957 3.35906i −0.186358 0.137592i
\(597\) 1.13821 + 5.14129i 0.0465838 + 0.210419i
\(598\) −20.9754 14.7389i −0.857748 0.602716i
\(599\) −5.52638 41.9770i −0.225802 1.71514i −0.610436 0.792066i \(-0.709006\pi\)
0.384634 0.923069i \(-0.374328\pi\)
\(600\) 8.99764 22.7825i 0.367327 0.930091i
\(601\) −3.02176 + 22.9525i −0.123260 + 0.936253i 0.812338 + 0.583186i \(0.198194\pi\)
−0.935598 + 0.353066i \(0.885139\pi\)
\(602\) 16.7633 + 15.4118i 0.683221 + 0.628137i
\(603\) 11.7492 + 12.2878i 0.478463 + 0.500398i
\(604\) −1.32797 15.7792i −0.0540345 0.642047i
\(605\) −0.0157871 + 0.00103474i −0.000641835 + 4.20681e-5i
\(606\) −0.0684894 + 35.1799i −0.00278219 + 1.42909i
\(607\) 31.2419 18.0375i 1.26807 0.732121i 0.293448 0.955975i \(-0.405197\pi\)
0.974623 + 0.223854i \(0.0718638\pi\)
\(608\) 24.2862 + 26.9474i 0.984937 + 1.09286i
\(609\) 25.0214 + 6.13051i 1.01392 + 0.248421i
\(610\) 0.0208058 + 0.00610165i 0.000842402 + 0.000247049i
\(611\) 18.1225 + 27.1222i 0.733156 + 1.09725i
\(612\) 36.3545 + 4.93024i 1.46954 + 0.199293i
\(613\) 2.12984 + 10.7074i 0.0860236 + 0.432470i 0.999663 + 0.0259450i \(0.00825947\pi\)
−0.913640 + 0.406525i \(0.866741\pi\)
\(614\) −0.841795 2.68530i −0.0339721 0.108370i
\(615\) 0.0139921 0.0112231i 0.000564215 0.000452557i
\(616\) 0.616217 + 2.34621i 0.0248281 + 0.0945315i
\(617\) 5.29002 + 40.1817i 0.212968 + 1.61765i 0.679862 + 0.733340i \(0.262040\pi\)
−0.466894 + 0.884313i \(0.654627\pi\)
\(618\) 7.38144 21.6067i 0.296925 0.869150i
\(619\) 1.04007 0.512908i 0.0418041 0.0206155i −0.421267 0.906937i \(-0.638414\pi\)
0.463071 + 0.886321i \(0.346748\pi\)
\(620\) 0.0104045 0.00829415i 0.000417857 0.000333101i
\(621\) −7.59121 + 18.2811i −0.304625 + 0.733595i
\(622\) −0.428517 0.586453i −0.0171820 0.0235146i
\(623\) −6.69098 + 1.79284i −0.268069 + 0.0718288i
\(624\) 27.5376 18.1263i 1.10239 0.725632i
\(625\) −24.1481 6.47047i −0.965925 0.258819i
\(626\) −4.06611 10.5073i −0.162514 0.419958i
\(627\) 5.20431 0.453774i 0.207840 0.0181220i
\(628\) −5.09487 8.45900i −0.203308 0.337551i
\(629\) −14.6048 + 21.8577i −0.582333 + 0.871523i
\(630\) −0.00838937 + 0.00765292i −0.000334240 + 0.000304900i
\(631\) 13.9275 33.6240i 0.554446 1.33855i −0.359662 0.933083i \(-0.617108\pi\)
0.914109 0.405470i \(-0.132892\pi\)
\(632\) 0.261764 + 1.35094i 0.0104124 + 0.0537374i
\(633\) 6.49029 0.996994i 0.257966 0.0396270i
\(634\) −23.9839 + 15.2238i −0.952522 + 0.604613i
\(635\) −0.00714365 0.00814577i −0.000283487 0.000323255i
\(636\) 6.81199 + 28.2788i 0.270113 + 1.12133i
\(637\) 1.14367 + 17.4490i 0.0453138 + 0.691355i
\(638\) −2.82209 + 4.63337i −0.111727 + 0.183437i
\(639\) −0.969067 22.4994i −0.0383357 0.890061i
\(640\) 0.00783768 0.0146401i 0.000309812 0.000578701i
\(641\) 5.10204 8.83699i 0.201518 0.349040i −0.747499 0.664262i \(-0.768746\pi\)
0.949018 + 0.315222i \(0.102079\pi\)
\(642\) 0.737862 2.73245i 0.0291211 0.107841i
\(643\) −23.5699 11.6234i −0.929506 0.458382i −0.0864796 0.996254i \(-0.527562\pi\)
−0.843027 + 0.537872i \(0.819228\pi\)
\(644\) −11.6927 7.50353i −0.460758 0.295680i
\(645\) −0.0189292 0.0120671i −0.000745337 0.000475141i
\(646\) 49.1455 + 25.6868i 1.93361 + 1.01064i
\(647\) 10.4689 + 25.2743i 0.411577 + 0.993634i 0.984715 + 0.174175i \(0.0557258\pi\)
−0.573138 + 0.819459i \(0.694274\pi\)
\(648\) −18.2800 17.7155i −0.718108 0.695932i
\(649\) 1.64079 3.96121i 0.0644066 0.155491i
\(650\) −21.5857 25.8113i −0.846660 1.01240i
\(651\) 13.9776 3.09445i 0.547826 0.121281i
\(652\) 1.52829 0.0282948i 0.0598523 0.00110811i
\(653\) −11.8468 34.8997i −0.463603 1.36573i −0.887829 0.460174i \(-0.847787\pi\)
0.424226 0.905556i \(-0.360546\pi\)
\(654\) 40.0108 5.18830i 1.56455 0.202879i
\(655\) 0.00531713 + 0.0198438i 0.000207757 + 0.000775361i
\(656\) −23.9018 + 15.0060i −0.933209 + 0.585885i
\(657\) −26.0679 + 28.4145i −1.01701 + 1.10855i
\(658\) 10.4296 + 14.2736i 0.406588 + 0.556442i
\(659\) −21.7531 19.0770i −0.847381 0.743133i 0.120988 0.992654i \(-0.461394\pi\)
−0.968369 + 0.249521i \(0.919727\pi\)
\(660\) −0.00100284 0.00217096i −3.90354e−5 8.45043e-5i
\(661\) 3.21093 48.9893i 0.124891 1.90546i −0.234246 0.972177i \(-0.575262\pi\)
0.359137 0.933285i \(-0.383071\pi\)
\(662\) 19.0704 27.1397i 0.741190 1.05482i
\(663\) 29.8115 40.6327i 1.15778 1.57804i
\(664\) 27.1469 + 27.4174i 1.05350 + 1.06400i
\(665\) −0.0158576 + 0.00656844i −0.000614932 + 0.000254713i
\(666\) 17.1541 6.20009i 0.664709 0.240248i
\(667\) −6.06178 30.4746i −0.234713 1.17998i
\(668\) 24.3503 8.77175i 0.942140 0.339389i
\(669\) −34.9798 29.3691i −1.35240 1.13547i
\(670\) 0.00851082 0.00812043i 0.000328802 0.000313720i
\(671\) −4.25452 + 2.45635i −0.164244 + 0.0948264i
\(672\) 14.4984 10.4411i 0.559288 0.402775i
\(673\) 1.23439 + 0.712678i 0.0475824 + 0.0274717i 0.523602 0.851963i \(-0.324588\pi\)
−0.476020 + 0.879434i \(0.657921\pi\)
\(674\) −38.4778 + 9.34810i −1.48211 + 0.360076i
\(675\) −15.8343 + 20.5979i −0.609462 + 0.792815i
\(676\) −1.61744 19.2187i −0.0622093 0.739181i
\(677\) 7.92704 + 2.69087i 0.304661 + 0.103418i 0.469583 0.882888i \(-0.344404\pi\)
−0.164923 + 0.986307i \(0.552737\pi\)
\(678\) −0.703264 11.0596i −0.0270087 0.424741i
\(679\) −2.79773 2.14677i −0.107367 0.0823856i
\(680\) 0.00343808 0.0251508i 0.000131844 0.000964487i
\(681\) −33.6861 3.69927i −1.29085 0.141756i
\(682\) −0.267723 + 3.00293i −0.0102517 + 0.114988i
\(683\) −12.9557 8.65675i −0.495738 0.331241i 0.282440 0.959285i \(-0.408856\pi\)
−0.778178 + 0.628043i \(0.783856\pi\)
\(684\) −16.8835 34.5750i −0.645555 1.32201i
\(685\) −0.00381315 + 0.0191700i −0.000145693 + 0.000732447i
\(686\) 2.95173 + 27.3699i 0.112698 + 1.04499i
\(687\) −27.2855 + 16.5463i −1.04101 + 0.631280i
\(688\) 27.3989 + 22.2893i 1.04457 + 0.849771i
\(689\) 38.5951 + 10.3415i 1.47036 + 0.393981i
\(690\) 0.0126435 + 0.00526595i 0.000481328 + 0.000200471i
\(691\) 3.60931 4.11563i 0.137305 0.156566i −0.679101 0.734045i \(-0.737630\pi\)
0.816405 + 0.577479i \(0.195963\pi\)
\(692\) −25.9295 + 7.46487i −0.985690 + 0.283772i
\(693\) 0.0576433 2.57229i 0.00218969 0.0977131i
\(694\) −8.15832 2.98466i −0.309686 0.113296i
\(695\) 0.00905842 + 0.0118052i 0.000343606 + 0.000447795i
\(696\) 39.3142 + 7.14522i 1.49020 + 0.270839i
\(697\) −26.2626 + 34.2261i −0.994767 + 1.29641i
\(698\) 2.82119 + 4.44458i 0.106784 + 0.168230i
\(699\) 4.14849 + 2.64460i 0.156910 + 0.100028i
\(700\) −12.2750 13.4850i −0.463952 0.509686i
\(701\) −26.9818 + 18.0287i −1.01909 + 0.680934i −0.948567 0.316576i \(-0.897467\pi\)
−0.0705224 + 0.997510i \(0.522467\pi\)
\(702\) −33.3758 + 10.4304i −1.25969 + 0.393670i
\(703\) 27.5704 1.03984
\(704\) 1.17406 + 3.57473i 0.0442492 + 0.134728i
\(705\) −0.0125853 0.0120549i −0.000473991 0.000454015i
\(706\) −0.0540900 + 2.30432i −0.00203570 + 0.0867244i
\(707\) 23.4888 + 11.5834i 0.883387 + 0.435639i
\(708\) −31.5694 0.802533i −1.18645 0.0301610i
\(709\) 11.0367 32.5131i 0.414493 1.22106i −0.516585 0.856236i \(-0.672797\pi\)
0.931078 0.364821i \(-0.118870\pi\)
\(710\) −0.0155685 0.000653963i −0.000584274 2.45428e-5i
\(711\) 0.128063 1.45391i 0.00480275 0.0545258i
\(712\) −10.1912 + 3.40319i −0.381930 + 0.127540i
\(713\) −10.5115 13.6988i −0.393658 0.513025i
\(714\) 15.2178 22.6793i 0.569512 0.848753i
\(715\) −0.00327792 0.000214846i −0.000122587 8.03479e-6i
\(716\) −31.5573 + 32.7478i −1.17935 + 1.22384i
\(717\) −4.17669 + 8.95005i −0.155981 + 0.334246i
\(718\) 11.8492 + 9.54218i 0.442206 + 0.356111i
\(719\) 6.60506 6.60506i 0.246327 0.246327i −0.573134 0.819461i \(-0.694273\pi\)
0.819461 + 0.573134i \(0.194273\pi\)
\(720\) −0.0122712 + 0.0126353i −0.000457319 + 0.000470889i
\(721\) −12.0193 12.0193i −0.447621 0.447621i
\(722\) −3.35491 31.1084i −0.124857 1.15773i
\(723\) 0.970252 + 11.1278i 0.0360841 + 0.413846i
\(724\) 4.67941 + 10.7308i 0.173909 + 0.398808i
\(725\) 2.66728 40.6948i 0.0990603 1.51137i
\(726\) −24.9848 8.53548i −0.927273 0.316781i
\(727\) −29.8117 + 22.8753i −1.10565 + 0.848398i −0.989457 0.144828i \(-0.953737\pi\)
−0.116197 + 0.993226i \(0.537070\pi\)
\(728\) −3.08283 24.3485i −0.114257 0.902415i
\(729\) 13.4587 + 23.4065i 0.498469 + 0.866908i
\(730\) 0.0196414 + 0.0180578i 0.000726959 + 0.000668349i
\(731\) 51.1263 + 17.3550i 1.89098 + 0.641900i
\(732\) 28.1375 + 22.7497i 1.03999 + 0.840853i
\(733\) 8.27966 16.7895i 0.305816 0.620134i −0.688661 0.725083i \(-0.741801\pi\)
0.994478 + 0.104949i \(0.0334679\pi\)
\(734\) −24.7039 25.8915i −0.911837 0.955674i
\(735\) −0.00261161 0.00896985i −9.63306e−5 0.000330858i
\(736\) −18.8068 10.5208i −0.693229 0.387804i
\(737\) 2.66532i 0.0981783i
\(738\) 28.7567 8.31193i 1.05855 0.305966i
\(739\) −3.21218 4.80737i −0.118162 0.176842i 0.767674 0.640841i \(-0.221414\pi\)
−0.885836 + 0.463999i \(0.846414\pi\)
\(740\) −0.00427734 0.0118738i −0.000157238 0.000436491i
\(741\) −52.8034 2.32103i −1.93978 0.0852650i
\(742\) 21.1332 + 4.72176i 0.775824 + 0.173341i
\(743\) 12.6569 + 9.71195i 0.464335 + 0.356297i 0.814279 0.580474i \(-0.197133\pi\)
−0.349944 + 0.936771i \(0.613799\pi\)
\(744\) 21.3506 6.10168i 0.782752 0.223698i
\(745\) 0.00329269 0.00252657i 0.000120635 9.25664e-5i
\(746\) 11.4983 + 24.7650i 0.420984 + 0.906712i
\(747\) −19.6627 35.8905i −0.719421 1.31317i
\(748\) 3.58524 + 4.49748i 0.131089 + 0.164444i
\(749\) −1.58415 1.38926i −0.0578835 0.0507624i
\(750\) 0.0284809 + 0.0219424i 0.00103998 + 0.000801224i
\(751\) 5.89026 21.9828i 0.214939 0.802162i −0.771249 0.636533i \(-0.780368\pi\)
0.986188 0.165629i \(-0.0529655\pi\)
\(752\) 17.4861 + 21.1210i 0.637651 + 0.770204i
\(753\) 17.8242 0.383674i 0.649551 0.0139819i
\(754\) 34.4270 42.7503i 1.25376 1.55687i
\(755\) 0.0113979 + 0.00226718i 0.000414811 + 8.25111e-5i
\(756\) −17.8347 + 6.40683i −0.648641 + 0.233014i
\(757\) −11.8040 + 17.6659i −0.429023 + 0.642079i −0.981503 0.191448i \(-0.938682\pi\)
0.552480 + 0.833526i \(0.313682\pi\)
\(758\) −19.9830 23.8948i −0.725813 0.867899i
\(759\) −2.84084 + 1.24900i −0.103116 + 0.0453359i
\(760\) −0.0239355 + 0.0116566i −0.000868233 + 0.000422828i
\(761\) 22.5880 29.4372i 0.818813 1.06710i −0.177735 0.984078i \(-0.556877\pi\)
0.996548 0.0830196i \(-0.0264564\pi\)
\(762\) −5.77858 17.1326i −0.209336 0.620650i
\(763\) 9.65456 28.4414i 0.349518 1.02965i
\(764\) 13.5645 + 26.2688i 0.490748 + 0.950372i
\(765\) −0.0108583 + 0.0246379i −0.000392581 + 0.000890785i
\(766\) −1.84059 + 3.02193i −0.0665033 + 0.109187i
\(767\) −21.6898 + 37.5679i −0.783174 + 1.35650i
\(768\) 21.4680 17.5250i 0.774660 0.632378i
\(769\) 16.0980 + 27.8825i 0.580508 + 1.00547i 0.995419 + 0.0956070i \(0.0304792\pi\)
−0.414912 + 0.909862i \(0.636187\pi\)
\(770\) −0.00177977 4.17771e-5i −6.41386e−5 1.50554e-6i
\(771\) 8.77317 + 24.1262i 0.315958 +