Properties

Label 576.2.bm.a.205.42
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 205.42
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.42

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.349903 - 1.37024i) q^{2} +(1.71961 - 0.207232i) q^{3} +(-1.75514 + 0.958905i) q^{4} +(-2.21267 - 2.52307i) q^{5} +(-0.885654 - 2.28377i) q^{6} +(4.47101 + 0.588620i) q^{7} +(1.92806 + 2.06944i) q^{8} +(2.91411 - 0.712716i) q^{9} +O(q^{10})\) \(q+(-0.349903 - 1.37024i) q^{2} +(1.71961 - 0.207232i) q^{3} +(-1.75514 + 0.958905i) q^{4} +(-2.21267 - 2.52307i) q^{5} +(-0.885654 - 2.28377i) q^{6} +(4.47101 + 0.588620i) q^{7} +(1.92806 + 2.06944i) q^{8} +(2.91411 - 0.712716i) q^{9} +(-2.68300 + 3.91472i) q^{10} +(-1.40741 - 2.85394i) q^{11} +(-2.81943 + 2.01266i) q^{12} +(0.366186 + 1.07875i) q^{13} +(-0.757867 - 6.33233i) q^{14} +(-4.32779 - 3.88015i) q^{15} +(2.16100 - 3.36602i) q^{16} +(0.812536 + 0.812536i) q^{17} +(-1.99625 - 3.74366i) q^{18} +(0.674344 - 3.39016i) q^{19} +(6.30291 + 2.30658i) q^{20} +(7.81037 + 0.0856594i) q^{21} +(-3.41814 + 2.92709i) q^{22} +(-0.460468 - 3.49760i) q^{23} +(3.74436 + 3.15907i) q^{24} +(-0.817324 + 6.20819i) q^{25} +(1.35002 - 0.879222i) q^{26} +(4.86343 - 1.82949i) q^{27} +(-8.41166 + 3.25416i) q^{28} +(-7.12161 + 0.466775i) q^{29} +(-3.80245 + 7.28780i) q^{30} +(-4.47426 + 2.58322i) q^{31} +(-5.36840 - 1.78332i) q^{32} +(-3.01162 - 4.61600i) q^{33} +(0.829064 - 1.39768i) q^{34} +(-8.40774 - 12.5831i) q^{35} +(-4.43123 + 4.04527i) q^{36} +(-0.859078 - 4.31888i) q^{37} +(-4.88129 + 0.262210i) q^{38} +(0.853248 + 1.77914i) q^{39} +(0.955175 - 9.44361i) q^{40} +(1.07990 + 8.20264i) q^{41} +(-2.61550 - 10.7321i) q^{42} +(6.38963 - 3.15102i) q^{43} +(5.20685 + 3.65948i) q^{44} +(-8.24619 - 5.77549i) q^{45} +(-4.63145 + 1.85477i) q^{46} +(-3.45552 + 0.925903i) q^{47} +(3.01854 - 6.23606i) q^{48} +(12.8820 + 3.45172i) q^{49} +(8.79272 - 1.05233i) q^{50} +(1.56563 + 1.22886i) q^{51} +(-1.67712 - 1.54221i) q^{52} +(2.03190 - 3.04095i) q^{53} +(-4.20858 - 6.02394i) q^{54} +(-4.08655 + 9.86581i) q^{55} +(7.40226 + 10.3874i) q^{56} +(0.457059 - 5.96949i) q^{57} +(3.13147 + 9.59502i) q^{58} +(9.14331 + 10.4259i) q^{59} +(11.3165 + 2.66026i) q^{60} +(-0.0872630 - 1.33138i) q^{61} +(5.10520 + 5.22696i) q^{62} +(13.4485 - 1.47126i) q^{63} +(-0.565168 + 7.98001i) q^{64} +(1.91151 - 3.31083i) q^{65} +(-5.27127 + 5.74180i) q^{66} +(-12.5706 - 6.19915i) q^{67} +(-2.20526 - 0.646967i) q^{68} +(-1.51664 - 5.91908i) q^{69} +(-14.3000 + 15.9235i) q^{70} +(-2.10701 - 5.08678i) q^{71} +(7.09350 + 4.65642i) q^{72} +(2.01310 - 4.86005i) q^{73} +(-5.61732 + 2.68833i) q^{74} +(-0.118942 + 10.8450i) q^{75} +(2.06727 + 6.59681i) q^{76} +(-4.61265 - 13.5884i) q^{77} +(2.13930 - 1.79169i) q^{78} +(3.56555 + 13.3068i) q^{79} +(-13.2743 + 1.99552i) q^{80} +(7.98407 - 4.15386i) q^{81} +(10.8618 - 4.34985i) q^{82} +(12.2571 + 10.7492i) q^{83} +(-13.7904 + 7.33905i) q^{84} +(0.252208 - 3.84796i) q^{85} +(-6.55341 - 7.65280i) q^{86} +(-12.1497 + 2.27850i) q^{87} +(3.19249 - 8.41511i) q^{88} +(9.22569 - 3.82140i) q^{89} +(-5.02846 + 13.3201i) q^{90} +(1.00225 + 5.03864i) q^{91} +(4.16205 + 5.69722i) q^{92} +(-7.15866 + 5.36934i) q^{93} +(2.47781 + 4.41093i) q^{94} +(-10.0457 + 5.79988i) q^{95} +(-9.60112 - 1.95411i) q^{96} +(-1.92121 - 1.10921i) q^{97} +(0.222250 - 18.8592i) q^{98} +(-6.13539 - 7.31361i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.349903 1.37024i −0.247419 0.968909i
\(3\) 1.71961 0.207232i 0.992817 0.119645i
\(4\) −1.75514 + 0.958905i −0.877568 + 0.479452i
\(5\) −2.21267 2.52307i −0.989536 1.12835i −0.991729 0.128352i \(-0.959031\pi\)
0.00219299 0.999998i \(-0.499302\pi\)
\(6\) −0.885654 2.28377i −0.361567 0.932346i
\(7\) 4.47101 + 0.588620i 1.68988 + 0.222477i 0.913228 0.407449i \(-0.133582\pi\)
0.776655 + 0.629926i \(0.216915\pi\)
\(8\) 1.92806 + 2.06944i 0.681672 + 0.731658i
\(9\) 2.91411 0.712716i 0.971370 0.237572i
\(10\) −2.68300 + 3.91472i −0.848438 + 1.23794i
\(11\) −1.40741 2.85394i −0.424349 0.860495i −0.999110 0.0421740i \(-0.986572\pi\)
0.574761 0.818321i \(-0.305095\pi\)
\(12\) −2.81943 + 2.01266i −0.813900 + 0.581005i
\(13\) 0.366186 + 1.07875i 0.101562 + 0.299191i 0.985820 0.167807i \(-0.0536686\pi\)
−0.884258 + 0.466999i \(0.845335\pi\)
\(14\) −0.757867 6.33233i −0.202548 1.69239i
\(15\) −4.32779 3.88015i −1.11743 1.00185i
\(16\) 2.16100 3.36602i 0.540251 0.841504i
\(17\) 0.812536 + 0.812536i 0.197069 + 0.197069i 0.798742 0.601673i \(-0.205499\pi\)
−0.601673 + 0.798742i \(0.705499\pi\)
\(18\) −1.99625 3.74366i −0.470521 0.882389i
\(19\) 0.674344 3.39016i 0.154705 0.777755i −0.823044 0.567978i \(-0.807726\pi\)
0.977749 0.209777i \(-0.0672740\pi\)
\(20\) 6.30291 + 2.30658i 1.40937 + 0.515768i
\(21\) 7.81037 + 0.0856594i 1.70436 + 0.0186924i
\(22\) −3.41814 + 2.92709i −0.728749 + 0.624058i
\(23\) −0.460468 3.49760i −0.0960142 0.729300i −0.969958 0.243273i \(-0.921779\pi\)
0.873944 0.486027i \(-0.161554\pi\)
\(24\) 3.74436 + 3.15907i 0.764315 + 0.644843i
\(25\) −0.817324 + 6.20819i −0.163465 + 1.24164i
\(26\) 1.35002 0.879222i 0.264761 0.172430i
\(27\) 4.86343 1.82949i 0.935968 0.352085i
\(28\) −8.41166 + 3.25416i −1.58965 + 0.614979i
\(29\) −7.12161 + 0.466775i −1.32245 + 0.0866780i −0.710208 0.703992i \(-0.751399\pi\)
−0.612243 + 0.790670i \(0.709732\pi\)
\(30\) −3.80245 + 7.28780i −0.694229 + 1.33056i
\(31\) −4.47426 + 2.58322i −0.803602 + 0.463960i −0.844729 0.535194i \(-0.820238\pi\)
0.0411273 + 0.999154i \(0.486905\pi\)
\(32\) −5.36840 1.78332i −0.949009 0.315250i
\(33\) −3.01162 4.61600i −0.524255 0.803543i
\(34\) 0.829064 1.39768i 0.142183 0.239700i
\(35\) −8.40774 12.5831i −1.42117 2.12693i
\(36\) −4.43123 + 4.04527i −0.738539 + 0.674211i
\(37\) −0.859078 4.31888i −0.141232 0.710019i −0.984896 0.173148i \(-0.944606\pi\)
0.843664 0.536871i \(-0.180394\pi\)
\(38\) −4.88129 + 0.262210i −0.791850 + 0.0425360i
\(39\) 0.853248 + 1.77914i 0.136629 + 0.284891i
\(40\) 0.955175 9.44361i 0.151026 1.49317i
\(41\) 1.07990 + 8.20264i 0.168652 + 1.28104i 0.841095 + 0.540888i \(0.181912\pi\)
−0.672443 + 0.740149i \(0.734755\pi\)
\(42\) −2.61550 10.7321i −0.403580 1.65600i
\(43\) 6.38963 3.15102i 0.974410 0.480526i 0.115865 0.993265i \(-0.463036\pi\)
0.858544 + 0.512739i \(0.171369\pi\)
\(44\) 5.20685 + 3.65948i 0.784962 + 0.551688i
\(45\) −8.24619 5.77549i −1.22927 0.860959i
\(46\) −4.63145 + 1.85477i −0.682870 + 0.273472i
\(47\) −3.45552 + 0.925903i −0.504039 + 0.135057i −0.501874 0.864941i \(-0.667356\pi\)
−0.00216521 + 0.999998i \(0.500689\pi\)
\(48\) 3.01854 6.23606i 0.435688 0.900098i
\(49\) 12.8820 + 3.45172i 1.84028 + 0.493102i
\(50\) 8.79272 1.05233i 1.24348 0.148822i
\(51\) 1.56563 + 1.22886i 0.219232 + 0.172075i
\(52\) −1.67712 1.54221i −0.232575 0.213867i
\(53\) 2.03190 3.04095i 0.279103 0.417707i −0.665260 0.746611i \(-0.731679\pi\)
0.944363 + 0.328905i \(0.106679\pi\)
\(54\) −4.20858 6.02394i −0.572715 0.819755i
\(55\) −4.08655 + 9.86581i −0.551030 + 1.33031i
\(56\) 7.40226 + 10.3874i 0.989169 + 1.38807i
\(57\) 0.457059 5.96949i 0.0605390 0.790678i
\(58\) 3.13147 + 9.59502i 0.411182 + 1.25989i
\(59\) 9.14331 + 10.4259i 1.19036 + 1.35734i 0.918704 + 0.394948i \(0.129237\pi\)
0.271654 + 0.962395i \(0.412429\pi\)
\(60\) 11.3165 + 2.66026i 1.46096 + 0.343438i
\(61\) −0.0872630 1.33138i −0.0111729 0.170465i −0.999799 0.0200685i \(-0.993612\pi\)
0.988626 0.150397i \(-0.0480551\pi\)
\(62\) 5.10520 + 5.22696i 0.648361 + 0.663824i
\(63\) 13.4485 1.47126i 1.69436 0.185361i
\(64\) −0.565168 + 7.98001i −0.0706460 + 0.997501i
\(65\) 1.91151 3.31083i 0.237093 0.410658i
\(66\) −5.27127 + 5.74180i −0.648849 + 0.706767i
\(67\) −12.5706 6.19915i −1.53575 0.757347i −0.539345 0.842085i \(-0.681328\pi\)
−0.996403 + 0.0847378i \(0.972995\pi\)
\(68\) −2.20526 0.646967i −0.267427 0.0784563i
\(69\) −1.51664 5.91908i −0.182582 0.712574i
\(70\) −14.3000 + 15.9235i −1.70917 + 1.90322i
\(71\) −2.10701 5.08678i −0.250056 0.603690i 0.748152 0.663528i \(-0.230942\pi\)
−0.998208 + 0.0598381i \(0.980942\pi\)
\(72\) 7.09350 + 4.65642i 0.835977 + 0.548764i
\(73\) 2.01310 4.86005i 0.235615 0.568826i −0.761205 0.648512i \(-0.775392\pi\)
0.996820 + 0.0796858i \(0.0253917\pi\)
\(74\) −5.61732 + 2.68833i −0.653000 + 0.312513i
\(75\) −0.118942 + 10.8450i −0.0137342 + 1.25228i
\(76\) 2.06727 + 6.59681i 0.237132 + 0.756707i
\(77\) −4.61265 13.5884i −0.525660 1.54854i
\(78\) 2.13930 1.79169i 0.242229 0.202868i
\(79\) 3.56555 + 13.3068i 0.401155 + 1.49713i 0.811038 + 0.584994i \(0.198903\pi\)
−0.409883 + 0.912138i \(0.634430\pi\)
\(80\) −13.2743 + 1.99552i −1.48411 + 0.223106i
\(81\) 7.98407 4.15386i 0.887119 0.461541i
\(82\) 10.8618 4.34985i 1.19948 0.480361i
\(83\) 12.2571 + 10.7492i 1.34540 + 1.17988i 0.967159 + 0.254172i \(0.0818028\pi\)
0.378237 + 0.925709i \(0.376531\pi\)
\(84\) −13.7904 + 7.33905i −1.50466 + 0.800757i
\(85\) 0.252208 3.84796i 0.0273558 0.417370i
\(86\) −6.55341 7.65280i −0.706673 0.825223i
\(87\) −12.1497 + 2.27850i −1.30258 + 0.244281i
\(88\) 3.19249 8.41511i 0.340321 0.897054i
\(89\) 9.22569 3.82140i 0.977921 0.405068i 0.164266 0.986416i \(-0.447474\pi\)
0.813655 + 0.581348i \(0.197474\pi\)
\(90\) −5.02846 + 13.3201i −0.530046 + 1.40407i
\(91\) 1.00225 + 5.03864i 0.105064 + 0.528193i
\(92\) 4.16205 + 5.69722i 0.433924 + 0.593976i
\(93\) −7.15866 + 5.36934i −0.742319 + 0.556774i
\(94\) 2.47781 + 4.41093i 0.255567 + 0.454952i
\(95\) −10.0457 + 5.79988i −1.03067 + 0.595055i
\(96\) −9.60112 1.95411i −0.979910 0.199441i
\(97\) −1.92121 1.10921i −0.195069 0.112623i 0.399284 0.916827i \(-0.369259\pi\)
−0.594354 + 0.804204i \(0.702592\pi\)
\(98\) 0.222250 18.8592i 0.0224507 1.90507i
\(99\) −6.13539 7.31361i −0.616630 0.735046i
\(100\) −4.51855 11.6800i −0.451855 1.16800i
\(101\) 5.51495 + 1.87207i 0.548758 + 0.186278i 0.582029 0.813168i \(-0.302259\pi\)
−0.0332709 + 0.999446i \(0.510592\pi\)
\(102\) 1.13602 2.57527i 0.112483 0.254990i
\(103\) 5.78197 + 4.43666i 0.569714 + 0.437157i 0.853024 0.521871i \(-0.174766\pi\)
−0.283310 + 0.959028i \(0.591433\pi\)
\(104\) −1.52638 + 2.83769i −0.149674 + 0.278259i
\(105\) −17.0656 19.8956i −1.66544 1.94161i
\(106\) −4.87781 1.72016i −0.473775 0.167077i
\(107\) 5.51467 + 3.68479i 0.533124 + 0.356222i 0.792808 0.609472i \(-0.208618\pi\)
−0.259684 + 0.965694i \(0.583618\pi\)
\(108\) −6.78168 + 7.87457i −0.652567 + 0.757731i
\(109\) −3.74577 + 18.8313i −0.358780 + 1.80371i 0.206094 + 0.978532i \(0.433925\pi\)
−0.564874 + 0.825177i \(0.691075\pi\)
\(110\) 14.9485 + 2.14750i 1.42528 + 0.204756i
\(111\) −2.37229 7.24875i −0.225168 0.688021i
\(112\) 11.6432 13.7775i 1.10018 1.30185i
\(113\) −3.76081 1.00771i −0.353788 0.0947971i 0.0775480 0.996989i \(-0.475291\pi\)
−0.431336 + 0.902191i \(0.641958\pi\)
\(114\) −8.33958 + 1.46246i −0.781073 + 0.136972i
\(115\) −7.80581 + 8.90082i −0.727896 + 0.830006i
\(116\) 12.0518 7.64820i 1.11898 0.710118i
\(117\) 1.83595 + 2.88261i 0.169734 + 0.266497i
\(118\) 11.0868 16.1766i 1.02062 1.48918i
\(119\) 3.15458 + 4.11113i 0.289180 + 0.376867i
\(120\) −0.314490 16.4373i −0.0287089 1.50051i
\(121\) 0.532197 0.693573i 0.0483816 0.0630521i
\(122\) −1.79378 + 0.585424i −0.162401 + 0.0530018i
\(123\) 3.55685 + 13.8815i 0.320710 + 1.25166i
\(124\) 5.37588 8.82429i 0.482769 0.792445i
\(125\) 3.52069 2.35245i 0.314900 0.210410i
\(126\) −6.72166 17.9130i −0.598813 1.59581i
\(127\) −14.4885 −1.28565 −0.642823 0.766015i \(-0.722237\pi\)
−0.642823 + 0.766015i \(0.722237\pi\)
\(128\) 11.1323 2.01781i 0.983967 0.178351i
\(129\) 10.3347 6.74265i 0.909918 0.593658i
\(130\) −5.20548 1.46076i −0.456551 0.128117i
\(131\) 11.3720 + 5.60804i 0.993575 + 0.489977i 0.865026 0.501727i \(-0.167302\pi\)
0.128548 + 0.991703i \(0.458968\pi\)
\(132\) 9.71210 + 5.21386i 0.845330 + 0.453808i
\(133\) 5.01051 14.7605i 0.434466 1.27990i
\(134\) −4.09585 + 19.3939i −0.353827 + 1.67538i
\(135\) −15.3771 8.22270i −1.32345 0.707698i
\(136\) −0.114877 + 3.24811i −0.00985060 + 0.278524i
\(137\) 2.35468 + 3.06867i 0.201174 + 0.262175i 0.883035 0.469307i \(-0.155496\pi\)
−0.681862 + 0.731481i \(0.738829\pi\)
\(138\) −7.57991 + 4.14927i −0.645245 + 0.353209i
\(139\) −21.2747 1.39442i −1.80449 0.118273i −0.874310 0.485368i \(-0.838686\pi\)
−0.930183 + 0.367095i \(0.880352\pi\)
\(140\) 26.8227 + 14.0228i 2.26693 + 1.18514i
\(141\) −5.75026 + 2.30829i −0.484260 + 0.194393i
\(142\) −6.23288 + 4.66700i −0.523052 + 0.391646i
\(143\) 2.56331 2.56331i 0.214355 0.214355i
\(144\) 3.89839 11.3491i 0.324866 0.945760i
\(145\) 16.9355 + 16.9355i 1.40642 + 1.40642i
\(146\) −7.36384 1.05789i −0.609436 0.0875516i
\(147\) 22.8673 + 3.26604i 1.88606 + 0.269379i
\(148\) 5.64919 + 6.75644i 0.464361 + 0.555376i
\(149\) −1.00908 + 15.3956i −0.0826674 + 1.26126i 0.731989 + 0.681317i \(0.238592\pi\)
−0.814656 + 0.579944i \(0.803074\pi\)
\(150\) 14.9020 3.63173i 1.21674 0.296530i
\(151\) 0.916766 0.703459i 0.0746053 0.0572467i −0.570785 0.821099i \(-0.693361\pi\)
0.645391 + 0.763853i \(0.276695\pi\)
\(152\) 8.31590 5.14091i 0.674509 0.416983i
\(153\) 2.94693 + 1.78871i 0.238245 + 0.144609i
\(154\) −17.0055 + 11.0751i −1.37034 + 0.892455i
\(155\) 16.4177 + 5.57306i 1.31870 + 0.447639i
\(156\) −3.20359 2.30445i −0.256493 0.184504i
\(157\) 1.75431 3.55739i 0.140009 0.283911i −0.815563 0.578669i \(-0.803572\pi\)
0.955572 + 0.294758i \(0.0952391\pi\)
\(158\) 16.9860 9.54175i 1.35133 0.759101i
\(159\) 2.86389 5.65032i 0.227121 0.448100i
\(160\) 7.37906 + 17.4907i 0.583366 + 1.38276i
\(161\) 15.9088i 1.25379i
\(162\) −8.48546 9.48668i −0.666680 0.745344i
\(163\) 9.69586 + 14.5109i 0.759438 + 1.13658i 0.986669 + 0.162739i \(0.0520328\pi\)
−0.227231 + 0.973841i \(0.572967\pi\)
\(164\) −9.76091 13.3612i −0.762199 1.04334i
\(165\) −4.98276 + 17.8122i −0.387907 + 1.38668i
\(166\) 10.4402 20.5565i 0.810320 1.59549i
\(167\) 15.3839 + 11.8045i 1.19044 + 0.913460i 0.997700 0.0677893i \(-0.0215946\pi\)
0.192744 + 0.981249i \(0.438261\pi\)
\(168\) 14.8816 + 16.3283i 1.14814 + 1.25975i
\(169\) 9.28398 7.12385i 0.714153 0.547989i
\(170\) −5.36089 + 1.00082i −0.411161 + 0.0767597i
\(171\) −0.451105 10.3599i −0.0344969 0.792241i
\(172\) −8.19315 + 11.6575i −0.624722 + 0.888877i
\(173\) −11.2835 9.89534i −0.857866 0.752328i 0.112581 0.993643i \(-0.464088\pi\)
−0.970447 + 0.241314i \(0.922422\pi\)
\(174\) 7.37330 + 15.8507i 0.558968 + 1.20164i
\(175\) −7.30853 + 27.2758i −0.552473 + 2.06186i
\(176\) −12.6478 1.43002i −0.953365 0.107792i
\(177\) 17.8835 + 16.0338i 1.34421 + 1.20517i
\(178\) −8.46435 11.3043i −0.634430 0.847295i
\(179\) −4.07529 0.810625i −0.304601 0.0605889i 0.0404233 0.999183i \(-0.487129\pi\)
−0.345024 + 0.938594i \(0.612129\pi\)
\(180\) 20.0113 + 2.22945i 1.49156 + 0.166174i
\(181\) 7.17392 10.7365i 0.533233 0.798040i −0.462852 0.886435i \(-0.653174\pi\)
0.996085 + 0.0883955i \(0.0281739\pi\)
\(182\) 6.55348 3.13636i 0.485776 0.232483i
\(183\) −0.425962 2.27136i −0.0314880 0.167904i
\(184\) 6.35027 7.69650i 0.468148 0.567393i
\(185\) −8.99596 + 11.7238i −0.661396 + 0.861948i
\(186\) 9.86213 + 7.93036i 0.723127 + 0.581482i
\(187\) 1.17536 3.46250i 0.0859509 0.253203i
\(188\) 5.17705 4.93860i 0.377575 0.360184i
\(189\) 22.8213 5.31695i 1.66001 0.386751i
\(190\) 11.4623 + 11.7356i 0.831560 + 0.851393i
\(191\) 2.87438 4.97858i 0.207983 0.360237i −0.743096 0.669185i \(-0.766643\pi\)
0.951079 + 0.308948i \(0.0999768\pi\)
\(192\) 0.681845 + 13.8396i 0.0492079 + 0.998789i
\(193\) 11.8559 + 20.5350i 0.853404 + 1.47814i 0.878118 + 0.478444i \(0.158799\pi\)
−0.0247139 + 0.999695i \(0.507867\pi\)
\(194\) −0.847652 + 3.02064i −0.0608579 + 0.216869i
\(195\) 2.60094 6.08945i 0.186257 0.436075i
\(196\) −25.9195 + 6.29436i −1.85139 + 0.449597i
\(197\) 4.49776 0.894661i 0.320452 0.0637419i −0.0322432 0.999480i \(-0.510265\pi\)
0.352696 + 0.935738i \(0.385265\pi\)
\(198\) −7.87464 + 10.9660i −0.559627 + 0.779322i
\(199\) −7.89250 19.0542i −0.559484 1.35071i −0.910175 0.414223i \(-0.864053\pi\)
0.350691 0.936491i \(-0.385947\pi\)
\(200\) −14.4233 + 10.2784i −1.01988 + 0.726790i
\(201\) −22.9012 8.05508i −1.61533 0.568162i
\(202\) 0.635500 8.21187i 0.0447136 0.577785i
\(203\) −32.1156 2.10497i −2.25407 0.147740i
\(204\) −3.92625 0.655531i −0.274893 0.0458963i
\(205\) 18.3063 20.8744i 1.27857 1.45793i
\(206\) 4.05618 9.47511i 0.282607 0.660162i
\(207\) −3.83465 9.86421i −0.266527 0.685610i
\(208\) 4.42242 + 1.09859i 0.306640 + 0.0761738i
\(209\) −10.6244 + 2.84679i −0.734904 + 0.196917i
\(210\) −21.2905 + 30.3456i −1.46919 + 2.09405i
\(211\) −5.10652 + 1.73343i −0.351548 + 0.119334i −0.491627 0.870806i \(-0.663598\pi\)
0.140079 + 0.990140i \(0.455264\pi\)
\(212\) −0.650276 + 7.28568i −0.0446612 + 0.500382i
\(213\) −4.67738 8.31063i −0.320489 0.569435i
\(214\) 3.11946 8.84577i 0.213242 0.604684i
\(215\) −22.0884 9.14930i −1.50641 0.623977i
\(216\) 13.1630 + 6.53722i 0.895629 + 0.444801i
\(217\) −21.5250 + 8.91595i −1.46121 + 0.605254i
\(218\) 27.1141 1.45650i 1.83640 0.0986463i
\(219\) 2.45459 8.77457i 0.165866 0.592930i
\(220\) −2.28791 21.2344i −0.154251 1.43163i
\(221\) −0.578984 + 1.17406i −0.0389467 + 0.0789760i
\(222\) −9.10249 + 5.78697i −0.610919 + 0.388396i
\(223\) 7.89688 + 4.55927i 0.528814 + 0.305311i 0.740534 0.672019i \(-0.234573\pi\)
−0.211719 + 0.977331i \(0.567906\pi\)
\(224\) −22.9525 11.1332i −1.53358 0.743869i
\(225\) 2.04291 + 18.6739i 0.136194 + 1.24493i
\(226\) −0.0648846 + 5.50583i −0.00431606 + 0.366243i
\(227\) −2.74759 + 0.180087i −0.182364 + 0.0119528i −0.156312 0.987708i \(-0.549960\pi\)
−0.0260526 + 0.999661i \(0.508294\pi\)
\(228\) 4.92197 + 10.9155i 0.325965 + 0.722899i
\(229\) 5.54474 4.86261i 0.366407 0.321330i −0.456268 0.889842i \(-0.650814\pi\)
0.822675 + 0.568512i \(0.192481\pi\)
\(230\) 14.9276 + 7.58144i 0.984295 + 0.499906i
\(231\) −10.7479 22.4109i −0.707160 1.47453i
\(232\) −14.6969 13.8378i −0.964896 0.908495i
\(233\) −16.2837 6.74493i −1.06678 0.441875i −0.220928 0.975290i \(-0.570908\pi\)
−0.845854 + 0.533415i \(0.820908\pi\)
\(234\) 3.30747 3.52433i 0.216216 0.230393i
\(235\) 9.98203 + 6.66978i 0.651156 + 0.435089i
\(236\) −26.0452 9.53139i −1.69540 0.620441i
\(237\) 8.88894 + 22.1436i 0.577399 + 1.43838i
\(238\) 4.52946 5.76105i 0.293601 0.373433i
\(239\) −4.82871 + 18.0210i −0.312344 + 1.16568i 0.614094 + 0.789233i \(0.289522\pi\)
−0.926437 + 0.376449i \(0.877145\pi\)
\(240\) −22.4130 + 6.18237i −1.44675 + 0.399070i
\(241\) 0.00842171 + 0.0314303i 0.000542490 + 0.00202460i 0.966197 0.257807i \(-0.0829997\pi\)
−0.965654 + 0.259831i \(0.916333\pi\)
\(242\) −1.13658 0.486557i −0.0730622 0.0312770i
\(243\) 12.8687 8.79758i 0.825525 0.564365i
\(244\) 1.42982 + 2.25307i 0.0915349 + 0.144238i
\(245\) −19.7946 40.1396i −1.26463 2.56442i
\(246\) 17.7765 9.73094i 1.13339 0.620422i
\(247\) 3.90406 0.513980i 0.248410 0.0327038i
\(248\) −13.9725 4.27863i −0.887253 0.271693i
\(249\) 23.3051 + 15.9444i 1.47690 + 1.01043i
\(250\) −4.45533 4.00108i −0.281780 0.253050i
\(251\) −22.5119 + 4.47789i −1.42094 + 0.282642i −0.844962 0.534826i \(-0.820377\pi\)
−0.575974 + 0.817468i \(0.695377\pi\)
\(252\) −22.1932 + 15.4781i −1.39804 + 0.975030i
\(253\) −9.33388 + 6.23670i −0.586816 + 0.392098i
\(254\) 5.06956 + 19.8528i 0.318093 + 1.24567i
\(255\) −0.363720 6.66925i −0.0227770 0.417644i
\(256\) −6.66012 14.5479i −0.416258 0.909247i
\(257\) −4.55951 7.89730i −0.284414 0.492620i 0.688053 0.725661i \(-0.258466\pi\)
−0.972467 + 0.233041i \(0.925132\pi\)
\(258\) −12.8552 11.8018i −0.800331 0.734745i
\(259\) −1.29877 19.8154i −0.0807017 1.23127i
\(260\) −0.180187 + 7.64391i −0.0111747 + 0.474055i
\(261\) −20.4205 + 6.43592i −1.26400 + 0.398374i
\(262\) 3.70529 17.5447i 0.228914 1.08391i
\(263\) 5.20794 + 0.685638i 0.321135 + 0.0422783i 0.289371 0.957217i \(-0.406554\pi\)
0.0317647 + 0.999495i \(0.489887\pi\)
\(264\) 3.74596 15.1323i 0.230548 0.931328i
\(265\) −12.1684 + 1.60201i −0.747501 + 0.0984104i
\(266\) −21.9787 1.70088i −1.34760 0.104288i
\(267\) 15.0727 8.48318i 0.922432 0.519162i
\(268\) 28.0076 1.17369i 1.71084 0.0716943i
\(269\) −13.0937 2.60449i −0.798335 0.158799i −0.220965 0.975282i \(-0.570921\pi\)
−0.577369 + 0.816483i \(0.695921\pi\)
\(270\) −5.88662 + 23.9475i −0.358248 + 1.45740i
\(271\) −8.51071 + 8.51071i −0.516989 + 0.516989i −0.916659 0.399670i \(-0.869125\pi\)
0.399670 + 0.916659i \(0.369125\pi\)
\(272\) 4.49090 0.979116i 0.272301 0.0593676i
\(273\) 2.76764 + 8.45680i 0.167505 + 0.511829i
\(274\) 3.38092 4.30022i 0.204249 0.259786i
\(275\) 18.8681 6.40487i 1.13779 0.386228i
\(276\) 8.33774 + 8.93448i 0.501873 + 0.537793i
\(277\) −18.0586 + 8.90554i −1.08504 + 0.535082i −0.894714 0.446639i \(-0.852621\pi\)
−0.190325 + 0.981721i \(0.560954\pi\)
\(278\) 5.53338 + 29.6394i 0.331870 + 1.77765i
\(279\) −11.1974 + 10.7167i −0.670371 + 0.641590i
\(280\) 9.82929 41.6602i 0.587412 2.48968i
\(281\) −2.74441 + 20.8459i −0.163718 + 1.24356i 0.690379 + 0.723448i \(0.257444\pi\)
−0.854097 + 0.520114i \(0.825889\pi\)
\(282\) 5.17495 + 7.07159i 0.308164 + 0.421107i
\(283\) 5.74102 5.03474i 0.341268 0.299284i −0.471506 0.881863i \(-0.656290\pi\)
0.812774 + 0.582579i \(0.197956\pi\)
\(284\) 8.57583 + 6.90757i 0.508882 + 0.409889i
\(285\) −16.0727 + 12.0553i −0.952066 + 0.714095i
\(286\) −4.40928 2.61545i −0.260726 0.154655i
\(287\) 37.3097i 2.20232i
\(288\) −16.9151 1.37065i −0.996733 0.0807666i
\(289\) 15.6796i 0.922328i
\(290\) 17.2800 29.1315i 1.01471 1.71066i
\(291\) −3.53359 1.50927i −0.207143 0.0884752i
\(292\) 1.12706 + 10.4604i 0.0659564 + 0.612150i
\(293\) 22.1325 19.4097i 1.29300 1.13393i 0.309915 0.950764i \(-0.399699\pi\)
0.983082 0.183164i \(-0.0586339\pi\)
\(294\) −3.52605 32.4765i −0.205643 1.89407i
\(295\) 6.07423 46.1383i 0.353655 2.68628i
\(296\) 7.28131 10.1049i 0.423217 0.587334i
\(297\) −12.0661 11.3051i −0.700145 0.655989i
\(298\) 21.4489 4.00429i 1.24250 0.231962i
\(299\) 3.60442 1.77750i 0.208449 0.102796i
\(300\) −10.1906 19.1486i −0.588355 1.10554i
\(301\) 30.4229 10.3272i 1.75354 0.595248i
\(302\) −1.28469 1.01005i −0.0739256 0.0581218i
\(303\) 9.87151 + 2.07636i 0.567103 + 0.119284i
\(304\) −9.95406 9.59599i −0.570904 0.550368i
\(305\) −3.16606 + 3.16606i −0.181288 + 0.181288i
\(306\) 1.41983 4.66389i 0.0811665 0.266617i
\(307\) −26.6315 5.29734i −1.51994 0.302335i −0.636647 0.771155i \(-0.719679\pi\)
−0.883294 + 0.468820i \(0.844679\pi\)
\(308\) 21.1258 + 19.4264i 1.20376 + 1.10692i
\(309\) 10.8621 + 6.43111i 0.617926 + 0.365853i
\(310\) 1.89185 24.4463i 0.107450 1.38846i
\(311\) −26.4835 + 3.48661i −1.50174 + 0.197708i −0.836105 0.548570i \(-0.815172\pi\)
−0.665635 + 0.746278i \(0.731839\pi\)
\(312\) −2.03671 + 5.19604i −0.115306 + 0.294168i
\(313\) −2.34134 0.308243i −0.132340 0.0174229i 0.0640651 0.997946i \(-0.479593\pi\)
−0.196405 + 0.980523i \(0.562927\pi\)
\(314\) −5.48833 1.15909i −0.309724 0.0654114i
\(315\) −33.4692 30.6761i −1.88578 1.72840i
\(316\) −19.0180 19.9362i −1.06984 1.12150i
\(317\) −0.600520 9.16216i −0.0337286 0.514598i −0.980980 0.194108i \(-0.937819\pi\)
0.947252 0.320491i \(-0.103848\pi\)
\(318\) −8.74440 1.94716i −0.490362 0.109191i
\(319\) 11.3552 + 19.6677i 0.635767 + 1.10118i
\(320\) 21.3846 16.2312i 1.19544 0.907350i
\(321\) 10.2467 + 5.19358i 0.571914 + 0.289877i
\(322\) −21.7990 + 5.56655i −1.21481 + 0.310212i
\(323\) 3.30255 2.20670i 0.183759 0.122784i
\(324\) −10.0300 + 14.9466i −0.557221 + 0.830364i
\(325\) −6.99638 + 1.39167i −0.388089 + 0.0771958i
\(326\) 16.4908 18.3631i 0.913343 1.01704i
\(327\) −2.53882 + 33.1587i −0.140397 + 1.83368i
\(328\) −14.8928 + 18.0500i −0.822315 + 0.996642i
\(329\) −15.9947 + 2.10574i −0.881814 + 0.116093i
\(330\) 26.1505 + 0.595056i 1.43954 + 0.0327568i
\(331\) 6.91070 + 14.0135i 0.379846 + 0.770252i 0.999898 0.0143090i \(-0.00455484\pi\)
−0.620051 + 0.784561i \(0.712888\pi\)
\(332\) −31.8204 7.11292i −1.74637 0.390372i
\(333\) −5.58158 11.9734i −0.305869 0.656139i
\(334\) 10.7922 25.2102i 0.590521 1.37944i
\(335\) 12.1738 + 45.4332i 0.665126 + 2.48228i
\(336\) 17.1666 26.1047i 0.936513 1.42413i
\(337\) −0.644486 + 2.40525i −0.0351074 + 0.131023i −0.981255 0.192712i \(-0.938272\pi\)
0.946148 + 0.323734i \(0.104938\pi\)
\(338\) −13.0099 10.2287i −0.707646 0.556366i
\(339\) −6.67596 0.953501i −0.362588 0.0517871i
\(340\) 3.24716 + 6.99553i 0.176102 + 0.379386i
\(341\) 13.6695 + 9.13364i 0.740243 + 0.494615i
\(342\) −14.0377 + 4.24308i −0.759074 + 0.229440i
\(343\) 26.3995 + 10.9350i 1.42544 + 0.590436i
\(344\) 18.8404 + 7.14761i 1.01581 + 0.385373i
\(345\) −11.5784 + 16.9236i −0.623361 + 0.911133i
\(346\) −9.61090 + 18.9235i −0.516685 + 1.01733i
\(347\) −25.0592 + 21.9763i −1.34525 + 1.17975i −0.378034 + 0.925792i \(0.623400\pi\)
−0.967215 + 0.253960i \(0.918267\pi\)
\(348\) 19.1394 15.6494i 1.02598 0.838898i
\(349\) 13.9588 0.914906i 0.747196 0.0489738i 0.312952 0.949769i \(-0.398682\pi\)
0.434244 + 0.900795i \(0.357016\pi\)
\(350\) 39.9318 + 0.470584i 2.13444 + 0.0251538i
\(351\) 3.75448 + 4.57649i 0.200399 + 0.244275i
\(352\) 2.46603 + 17.8310i 0.131440 + 0.950394i
\(353\) −20.6282 11.9097i −1.09793 0.633890i −0.162253 0.986749i \(-0.551876\pi\)
−0.935676 + 0.352860i \(0.885209\pi\)
\(354\) 15.7127 30.1150i 0.835119 1.60060i
\(355\) −8.17216 + 16.5715i −0.433733 + 0.879524i
\(356\) −12.5280 + 15.5536i −0.663981 + 0.824341i
\(357\) 6.27661 + 6.41581i 0.332193 + 0.339561i
\(358\) 0.315201 + 5.86777i 0.0166589 + 0.310121i
\(359\) 5.79989 2.40239i 0.306106 0.126793i −0.224342 0.974510i \(-0.572023\pi\)
0.530449 + 0.847717i \(0.322023\pi\)
\(360\) −3.94713 28.2005i −0.208032 1.48630i
\(361\) 6.51530 + 2.69872i 0.342910 + 0.142038i
\(362\) −17.2218 6.07328i −0.905160 0.319204i
\(363\) 0.771440 1.30296i 0.0404901 0.0683878i
\(364\) −6.59066 7.88245i −0.345445 0.413152i
\(365\) −16.7166 + 5.67450i −0.874984 + 0.297017i
\(366\) −2.96327 + 1.37843i −0.154893 + 0.0720516i
\(367\) −3.08941 + 0.827805i −0.161266 + 0.0432111i −0.338549 0.940949i \(-0.609936\pi\)
0.177283 + 0.984160i \(0.443269\pi\)
\(368\) −12.7681 6.00839i −0.665581 0.313209i
\(369\) 8.99309 + 23.1337i 0.468162 + 1.20429i
\(370\) 19.2121 + 8.22448i 0.998791 + 0.427570i
\(371\) 10.8746 12.4001i 0.564581 0.643781i
\(372\) 7.41574 16.2884i 0.384488 0.844513i
\(373\) −0.906813 0.0594356i −0.0469530 0.00307746i 0.0419085 0.999121i \(-0.486656\pi\)
−0.0888615 + 0.996044i \(0.528323\pi\)
\(374\) −5.15573 0.398991i −0.266597 0.0206314i
\(375\) 5.56671 4.77490i 0.287464 0.246575i
\(376\) −8.57855 5.36579i −0.442405 0.276720i
\(377\) −3.11137 7.51151i −0.160244 0.386863i
\(378\) −15.2708 29.4104i −0.785444 1.51271i
\(379\) −22.7670 + 4.52864i −1.16946 + 0.232620i −0.741358 0.671109i \(-0.765818\pi\)
−0.428104 + 0.903730i \(0.640818\pi\)
\(380\) 12.0700 19.8124i 0.619179 1.01636i
\(381\) −24.9145 + 3.00248i −1.27641 + 0.153822i
\(382\) −7.82762 2.19659i −0.400496 0.112387i
\(383\) −6.56733 11.3750i −0.335575 0.581233i 0.648020 0.761623i \(-0.275597\pi\)
−0.983595 + 0.180390i \(0.942264\pi\)
\(384\) 18.7251 5.77682i 0.955560 0.294797i
\(385\) −24.0782 + 41.7047i −1.22714 + 2.12547i
\(386\) 23.9895 23.4307i 1.22103 1.19259i
\(387\) 16.3743 13.7364i 0.832353 0.698261i
\(388\) 4.43561 + 0.104559i 0.225184 + 0.00530819i
\(389\) 1.03060 3.03605i 0.0522536 0.153934i −0.917670 0.397343i \(-0.869932\pi\)
0.969924 + 0.243409i \(0.0782657\pi\)
\(390\) −9.25411 1.43320i −0.468600 0.0725728i
\(391\) 2.46778 3.21608i 0.124801 0.162644i
\(392\) 17.6941 + 33.3136i 0.893687 + 1.68259i
\(393\) 20.7175 + 7.28700i 1.04506 + 0.367580i
\(394\) −2.79968 5.84999i −0.141046 0.294718i
\(395\) 25.6846 38.4396i 1.29233 1.93411i
\(396\) 17.7815 + 6.95313i 0.893554 + 0.349408i
\(397\) 16.9184 + 3.36528i 0.849112 + 0.168899i 0.600421 0.799684i \(-0.295000\pi\)
0.248691 + 0.968583i \(0.420000\pi\)
\(398\) −23.3473 + 17.4818i −1.17029 + 0.876281i
\(399\) 5.55727 26.4206i 0.278212 1.32268i
\(400\) 19.1306 + 16.1671i 0.956532 + 0.808353i
\(401\) 0.355229 1.32573i 0.0177393 0.0662038i −0.956489 0.291769i \(-0.905756\pi\)
0.974228 + 0.225565i \(0.0724228\pi\)
\(402\) −3.02421 + 34.1988i −0.150834 + 1.70568i
\(403\) −4.42506 3.88067i −0.220428 0.193310i
\(404\) −11.4746 + 2.00257i −0.570884 + 0.0996314i
\(405\) −28.1466 10.9532i −1.39861 0.544269i
\(406\) 8.35301 + 44.7427i 0.414553 + 2.22054i
\(407\) −11.1167 + 8.53018i −0.551037 + 0.422825i
\(408\) 0.475570 + 5.60929i 0.0235442 + 0.277701i
\(409\) −1.26003 0.966858i −0.0623046 0.0478080i 0.577140 0.816645i \(-0.304169\pi\)
−0.639444 + 0.768837i \(0.720836\pi\)
\(410\) −35.0084 17.7801i −1.72894 0.878098i
\(411\) 4.68505 + 4.78896i 0.231096 + 0.236222i
\(412\) −14.4025 2.24259i −0.709559 0.110484i
\(413\) 34.7429 + 51.9964i 1.70959 + 2.55858i
\(414\) −12.1746 + 8.70592i −0.598350 + 0.427873i
\(415\) 54.7100i 2.68561i
\(416\) −0.0420752 6.44419i −0.00206291 0.315953i
\(417\) −36.8731 + 2.01094i −1.80568 + 0.0984762i
\(418\) 7.61830 + 13.5619i 0.372623 + 0.663334i
\(419\) 10.4285 21.1469i 0.509465 1.03309i −0.478452 0.878114i \(-0.658802\pi\)
0.987918 0.154980i \(-0.0495313\pi\)
\(420\) 49.0305 + 18.5552i 2.39244 + 0.905400i
\(421\) 16.6353 + 5.64692i 0.810754 + 0.275214i 0.695872 0.718165i \(-0.255018\pi\)
0.114881 + 0.993379i \(0.463351\pi\)
\(422\) 4.16201 + 6.39065i 0.202603 + 0.311092i
\(423\) −9.40985 + 5.16099i −0.457523 + 0.250936i
\(424\) 10.2107 1.65824i 0.495875 0.0805314i
\(425\) −5.70849 + 4.38028i −0.276902 + 0.212475i
\(426\) −9.75096 + 9.31707i −0.472436 + 0.451413i
\(427\) 0.393520 6.00396i 0.0190438 0.290552i
\(428\) −13.2124 1.17926i −0.638644 0.0570015i
\(429\) 3.87670 4.93910i 0.187169 0.238462i
\(430\) −4.80799 + 33.4678i −0.231862 + 1.61396i
\(431\) 17.7001 + 17.7001i 0.852586 + 0.852586i 0.990451 0.137865i \(-0.0440240\pi\)
−0.137865 + 0.990451i \(0.544024\pi\)
\(432\) 4.35181 20.3239i 0.209376 0.977835i
\(433\) 15.5751 15.5751i 0.748491 0.748491i −0.225705 0.974196i \(-0.572469\pi\)
0.974196 + 0.225705i \(0.0724685\pi\)
\(434\) 19.7487 + 26.3748i 0.947968 + 1.26603i
\(435\) 32.6320 + 25.6128i 1.56458 + 1.22804i
\(436\) −11.4831 36.6433i −0.549939 1.75490i
\(437\) −12.1679 0.797528i −0.582071 0.0381509i
\(438\) −12.8822 0.293134i −0.615534 0.0140065i
\(439\) 4.97898 + 6.48873i 0.237634 + 0.309690i 0.896912 0.442209i \(-0.145805\pi\)
−0.659279 + 0.751899i \(0.729138\pi\)
\(440\) −28.2958 + 10.5650i −1.34895 + 0.503666i
\(441\) 39.9996 + 0.877488i 1.90474 + 0.0417852i
\(442\) 1.81134 + 0.382541i 0.0861567 + 0.0181956i
\(443\) 0.415795 1.22489i 0.0197550 0.0581964i −0.936605 0.350386i \(-0.886050\pi\)
0.956360 + 0.292189i \(0.0943838\pi\)
\(444\) 11.1146 + 10.4477i 0.527473 + 0.495828i
\(445\) −30.0550 14.8215i −1.42475 0.702607i
\(446\) 3.48417 12.4160i 0.164980 0.587913i
\(447\) 1.45524 + 26.6836i 0.0688305 + 1.26209i
\(448\) −7.22406 + 35.3460i −0.341305 + 1.66994i
\(449\) −2.62728 −0.123989 −0.0619946 0.998076i \(-0.519746\pi\)
−0.0619946 + 0.998076i \(0.519746\pi\)
\(450\) 24.8729 9.33332i 1.17252 0.439977i
\(451\) 21.8900 14.6264i 1.03076 0.688731i
\(452\) 7.56704 1.83760i 0.355923 0.0864334i
\(453\) 1.43070 1.39966i 0.0672201 0.0657616i
\(454\) 1.20815 + 3.70186i 0.0567015 + 0.173737i
\(455\) 10.4952 13.6776i 0.492022 0.641215i
\(456\) 13.2347 10.5637i 0.619773 0.494689i
\(457\) −2.18627 2.84921i −0.102270 0.133280i 0.739415 0.673250i \(-0.235102\pi\)
−0.841684 + 0.539970i \(0.818436\pi\)
\(458\) −8.60308 5.89621i −0.401995 0.275512i
\(459\) 5.43824 + 2.46519i 0.253835 + 0.115065i
\(460\) 5.16522 23.1072i 0.240830 1.07738i
\(461\) −4.07468 + 4.64628i −0.189777 + 0.216399i −0.838902 0.544283i \(-0.816802\pi\)
0.649125 + 0.760682i \(0.275135\pi\)
\(462\) −26.9477 + 22.5689i −1.25372 + 1.05000i
\(463\) 15.6865 + 4.20318i 0.729012 + 0.195338i 0.604189 0.796841i \(-0.293497\pi\)
0.124823 + 0.992179i \(0.460164\pi\)
\(464\) −13.8187 + 24.9802i −0.641515 + 1.15968i
\(465\) 29.3869 + 6.18121i 1.36279 + 0.286647i
\(466\) −3.54449 + 24.6727i −0.164195 + 1.14294i
\(467\) −3.61351 + 18.1664i −0.167213 + 0.840639i 0.802549 + 0.596587i \(0.203477\pi\)
−0.969762 + 0.244052i \(0.921523\pi\)
\(468\) −5.98649 3.29887i −0.276725 0.152490i
\(469\) −52.5545 35.1158i −2.42674 1.62150i
\(470\) 5.64648 16.0116i 0.260453 0.738560i
\(471\) 2.27952 6.48087i 0.105035 0.298623i
\(472\) −3.94703 + 39.0234i −0.181677 + 1.79620i
\(473\) −17.9856 13.8009i −0.826980 0.634564i
\(474\) 27.2319 19.9281i 1.25080 0.915329i
\(475\) 20.4956 + 6.95731i 0.940402 + 0.319223i
\(476\) −9.47891 4.19065i −0.434465 0.192078i
\(477\) 3.75384 10.3098i 0.171877 0.472055i
\(478\) 26.3828 + 0.310913i 1.20672 + 0.0142208i
\(479\) −16.4299 9.48582i −0.750702 0.433418i 0.0752452 0.997165i \(-0.476026\pi\)
−0.825948 + 0.563747i \(0.809359\pi\)
\(480\) 16.3137 + 28.5481i 0.744617 + 1.30303i
\(481\) 4.34441 2.50824i 0.198088 0.114366i
\(482\) 0.0401203 0.0225373i 0.00182743 0.00102655i
\(483\) −3.29682 27.3570i −0.150011 1.24479i
\(484\) −0.269008 + 1.72764i −0.0122276 + 0.0785291i
\(485\) 1.45239 + 7.30165i 0.0659496 + 0.331551i
\(486\) −16.5576 14.5549i −0.751068 0.660224i
\(487\) −13.6035 + 5.63477i −0.616435 + 0.255336i −0.668977 0.743283i \(-0.733268\pi\)
0.0525423 + 0.998619i \(0.483268\pi\)
\(488\) 2.58695 2.74756i 0.117106 0.124376i
\(489\) 19.6802 + 22.9437i 0.889970 + 1.03755i
\(490\) −48.0748 + 41.1684i −2.17180 + 1.85980i
\(491\) 1.90149 29.0111i 0.0858129 1.30925i −0.710212 0.703988i \(-0.751401\pi\)
0.796025 0.605264i \(-0.206933\pi\)
\(492\) −19.5538 20.9533i −0.881555 0.944648i
\(493\) −6.16584 5.40730i −0.277696 0.243533i
\(494\) −2.07032 5.16968i −0.0931482 0.232595i
\(495\) −4.87714 + 31.6626i −0.219211 + 1.42313i
\(496\) −0.973753 + 20.6428i −0.0437228 + 0.926889i
\(497\) −6.42630 23.9833i −0.288259 1.07580i
\(498\) 13.6932 37.5126i 0.613606 1.68098i
\(499\) −1.04087 3.06631i −0.0465959 0.137267i 0.921142 0.389228i \(-0.127258\pi\)
−0.967738 + 0.251961i \(0.918925\pi\)
\(500\) −3.92352 + 7.50488i −0.175465 + 0.335628i
\(501\) 28.9006 + 17.1111i 1.29118 + 0.764467i
\(502\) 14.0128 + 29.2799i 0.625420 + 1.30683i
\(503\) 6.41514 15.4875i 0.286037 0.690555i −0.713916 0.700231i \(-0.753080\pi\)
0.999953 + 0.00967657i \(0.00308020\pi\)
\(504\) 28.9743 + 24.9943i 1.29062 + 1.11333i
\(505\) −7.47939 18.0569i −0.332829 0.803520i
\(506\) 11.8117 + 10.6074i 0.525096 + 0.471559i
\(507\) 14.4885 14.1742i 0.643458 0.629497i
\(508\) 25.4293 13.8931i 1.12824 0.616406i
\(509\) −11.4290 5.63615i −0.506580 0.249818i 0.170994 0.985272i \(-0.445302\pi\)
−0.677574 + 0.735454i \(0.736969\pi\)
\(510\) −9.01123 + 2.83197i −0.399024 + 0.125402i
\(511\) 11.8613 20.5444i 0.524713 0.908830i
\(512\) −17.6038 + 14.2164i −0.777987 + 0.628280i
\(513\) −2.92263 17.7215i −0.129037 0.782423i
\(514\) −9.22584 + 9.01092i −0.406934 + 0.397455i
\(515\) −1.59960 24.4051i −0.0704867 1.07542i
\(516\) −11.6732 + 21.7442i −0.513884 + 0.957237i
\(517\) 7.50580 + 8.55872i 0.330105 + 0.376412i
\(518\) −26.6975 + 8.71311i −1.17302 + 0.382832i
\(519\) −21.4538 14.6778i −0.941717 0.644285i
\(520\) 10.5371 2.42772i 0.462081 0.106463i
\(521\) 3.54584 8.56042i 0.155346 0.375039i −0.826976 0.562237i \(-0.809941\pi\)
0.982322 + 0.187198i \(0.0599407\pi\)
\(522\) 15.9640 + 25.7291i 0.698724 + 1.12613i
\(523\) 5.80135 8.68233i 0.253675 0.379652i −0.682673 0.730724i \(-0.739183\pi\)
0.936348 + 0.351072i \(0.114183\pi\)
\(524\) −25.3369 + 1.06177i −1.10685 + 0.0463837i
\(525\) −6.91540 + 48.4183i −0.301813 + 2.11315i
\(526\) −0.882782 7.37606i −0.0384911 0.321611i
\(527\) −5.73446 1.53654i −0.249797 0.0669329i
\(528\) −22.0457 + 0.161956i −0.959414 + 0.00704824i
\(529\) 10.1951 2.73177i 0.443266 0.118773i
\(530\) 6.45291 + 16.1132i 0.280296 + 0.699912i
\(531\) 34.0753 + 23.8658i 1.47874 + 1.03569i
\(532\) 5.35977 + 30.7113i 0.232376 + 1.33150i
\(533\) −8.45315 + 4.16863i −0.366146 + 0.180563i
\(534\) −16.8980 17.6849i −0.731248 0.765302i
\(535\) −2.90519 22.0671i −0.125602 0.954044i
\(536\) −11.4082 37.9665i −0.492758 1.63990i
\(537\) −7.17588 0.549428i −0.309662 0.0237096i
\(538\) 1.01272 + 18.8528i 0.0436616 + 0.812803i
\(539\) −8.27920 41.6224i −0.356610 1.79280i
\(540\) 34.8737 0.313197i 1.50072 0.0134779i
\(541\) −8.49012 12.7064i −0.365019 0.546289i 0.602815 0.797881i \(-0.294046\pi\)
−0.967833 + 0.251592i \(0.919046\pi\)
\(542\) 14.6397 + 8.68382i 0.628827 + 0.373002i
\(543\) 10.1114 19.9493i 0.433921 0.856106i
\(544\) −2.91301 5.81104i −0.124894 0.249146i
\(545\) 55.8007 32.2165i 2.39024 1.38001i
\(546\) 10.6195 6.75141i 0.454471 0.288934i
\(547\) 19.0181 1.24651i 0.813155 0.0532970i 0.346850 0.937921i \(-0.387251\pi\)
0.466306 + 0.884624i \(0.345585\pi\)
\(548\) −7.07534 3.12803i −0.302244 0.133623i
\(549\) −1.20319 3.81758i −0.0513507 0.162930i
\(550\) −15.3782 23.6128i −0.655730 1.00686i
\(551\) −3.21998 + 24.4581i −0.137176 + 1.04195i
\(552\) 9.32502 14.5509i 0.396899 0.619329i
\(553\) 8.10895 + 61.5936i 0.344828 + 2.61923i
\(554\) 18.5215 + 21.6287i 0.786904 + 0.918914i
\(555\) −13.0400 + 22.0245i −0.553517 + 0.934889i
\(556\) 38.6770 17.9530i 1.64027 0.761376i
\(557\) −6.56140 + 32.9864i −0.278015 + 1.39768i 0.549152 + 0.835723i \(0.314951\pi\)
−0.827167 + 0.561956i \(0.810049\pi\)
\(558\) 18.6024 + 11.5934i 0.787504 + 0.490787i
\(559\) 5.73895 + 5.73895i 0.242732 + 0.242732i
\(560\) −60.5240 + 1.10851i −2.55760 + 0.0468432i
\(561\) 1.30362 6.19772i 0.0550389 0.261668i
\(562\) 29.5242 3.53352i 1.24540 0.149053i
\(563\) 0.775652 + 2.28500i 0.0326898 + 0.0963012i 0.962050 0.272873i \(-0.0879739\pi\)
−0.929360 + 0.369174i \(0.879641\pi\)
\(564\) 7.87907 9.56531i 0.331769 0.402772i
\(565\) 5.77893 + 11.7185i 0.243121 + 0.493001i
\(566\) −8.90762 6.10492i −0.374415 0.256609i
\(567\) 38.1419 13.8724i 1.60181 0.582586i
\(568\) 6.46434 14.1680i 0.271238 0.594474i
\(569\) 28.9107 + 3.80616i 1.21200 + 0.159563i 0.709305 0.704902i \(-0.249009\pi\)
0.502694 + 0.864465i \(0.332342\pi\)
\(570\) 22.1426 + 17.8054i 0.927452 + 0.745785i
\(571\) −19.2264 21.9235i −0.804598 0.917468i 0.193374 0.981125i \(-0.438057\pi\)
−0.997972 + 0.0636572i \(0.979724\pi\)
\(572\) −2.04099 + 6.95694i −0.0853381 + 0.290884i
\(573\) 3.91110 9.15687i 0.163388 0.382534i
\(574\) 51.1234 13.0548i 2.13385 0.544896i
\(575\) 22.0901 0.921222
\(576\) 4.04052 + 23.6574i 0.168355 + 0.985726i
\(577\) −9.18518 −0.382384 −0.191192 0.981553i \(-0.561235\pi\)
−0.191192 + 0.981553i \(0.561235\pi\)
\(578\) −21.4848 + 5.48633i −0.893651 + 0.228201i
\(579\) 24.6430 + 32.8552i 1.02413 + 1.36542i
\(580\) −45.9636 13.4846i −1.90853 0.559916i
\(581\) 48.4746 + 55.2747i 2.01106 + 2.29318i
\(582\) −0.831657 + 5.36998i −0.0344733 + 0.222593i
\(583\) −11.5384 1.51906i −0.477872 0.0629130i
\(584\) 13.9390 5.20448i 0.576798 0.215363i
\(585\) 3.21066 11.0105i 0.132745 0.455227i
\(586\) −34.3403 23.5355i −1.41858 0.972241i
\(587\) −1.92909 3.91181i −0.0796222 0.161458i 0.853421 0.521222i \(-0.174524\pi\)
−0.933043 + 0.359764i \(0.882857\pi\)
\(588\) −43.2670 + 16.1952i −1.78430 + 0.667878i
\(589\) 5.74032 + 16.9104i 0.236526 + 0.696782i
\(590\) −65.3462 + 7.82077i −2.69026 + 0.321976i
\(591\) 7.54899 2.47055i 0.310524 0.101625i
\(592\) −16.3939 6.44144i −0.673784 0.264742i
\(593\) −19.8062 19.8062i −0.813342 0.813342i 0.171791 0.985133i \(-0.445045\pi\)
−0.985133 + 0.171791i \(0.945045\pi\)
\(594\) −11.2688 + 20.4892i −0.462364 + 0.840681i
\(595\) 3.39261 17.0558i 0.139083 0.699220i
\(596\) −12.9919 27.9891i −0.532168 1.14648i
\(597\) −17.5206 31.1302i −0.717072 1.27407i
\(598\) −3.69681 4.31698i −0.151174 0.176534i
\(599\) −3.89826 29.6102i −0.159279 1.20984i −0.865154 0.501506i \(-0.832780\pi\)
0.705876 0.708336i \(-0.250554\pi\)
\(600\) −22.6725 + 20.6638i −0.925601 + 0.843594i
\(601\) −0.476375 + 3.61843i −0.0194317 + 0.147599i −0.998410 0.0563647i \(-0.982049\pi\)
0.978979 + 0.203963i \(0.0653824\pi\)
\(602\) −24.7958 38.0732i −1.01060 1.55175i
\(603\) −41.0505 9.10572i −1.67170 0.370814i
\(604\) −0.934498 + 2.11376i −0.0380242 + 0.0860076i
\(605\) −2.92751 + 0.191879i −0.119020 + 0.00780098i
\(606\) −0.608951 14.2529i −0.0247369 0.578984i
\(607\) −19.9969 + 11.5452i −0.811651 + 0.468607i −0.847529 0.530749i \(-0.821911\pi\)
0.0358781 + 0.999356i \(0.488577\pi\)
\(608\) −9.66589 + 16.9971i −0.392004 + 0.689325i
\(609\) −55.6624 + 3.03565i −2.25556 + 0.123011i
\(610\) 5.44609 + 3.23046i 0.220506 + 0.130798i
\(611\) −2.26418 3.38859i −0.0915990 0.137088i
\(612\) −6.88746 0.313611i −0.278409 0.0126770i
\(613\) −2.84907 14.3233i −0.115073 0.578511i −0.994698 0.102842i \(-0.967206\pi\)
0.879625 0.475668i \(-0.157794\pi\)
\(614\) 2.05980 + 38.3452i 0.0831268 + 1.54749i
\(615\) 27.1539 39.6894i 1.09495 1.60043i
\(616\) 19.2270 35.7449i 0.774677 1.44020i
\(617\) −1.47643 11.2146i −0.0594387 0.451482i −0.995123 0.0986430i \(-0.968550\pi\)
0.935684 0.352839i \(-0.114784\pi\)
\(618\) 5.01150 17.1340i 0.201592 0.689233i
\(619\) −37.1654 + 18.3279i −1.49380 + 0.736662i −0.991751 0.128176i \(-0.959088\pi\)
−0.502051 + 0.864838i \(0.667421\pi\)
\(620\) −34.1593 + 5.96153i −1.37187 + 0.239421i
\(621\) −8.63828 16.1679i −0.346642 0.648796i
\(622\) 14.0442 + 35.0688i 0.563119 + 1.40613i
\(623\) 43.4975 11.6551i 1.74269 0.466952i
\(624\) 7.83249 + 0.972686i 0.313551 + 0.0389386i
\(625\) 16.5165 + 4.42558i 0.660659 + 0.177023i
\(626\) 0.396873 + 3.31606i 0.0158622 + 0.132536i
\(627\) −17.6798 + 7.09708i −0.706064 + 0.283430i
\(628\) 0.332144 + 7.92592i 0.0132540 + 0.316279i
\(629\) 2.81121 4.20728i 0.112090 0.167755i
\(630\) −30.3228 + 56.5947i −1.20809 + 2.25479i
\(631\) −5.47385 + 13.2150i −0.217911 + 0.526083i −0.994598 0.103804i \(-0.966899\pi\)
0.776687 + 0.629886i \(0.216899\pi\)
\(632\) −20.6630 + 33.0350i −0.821932 + 1.31406i
\(633\) −8.42200 + 4.03906i −0.334744 + 0.160538i
\(634\) −12.3443 + 4.02873i −0.490254 + 0.160001i
\(635\) 32.0582 + 36.5554i 1.27219 + 1.45066i
\(636\) 0.391605 + 12.6633i 0.0155281 + 0.502132i
\(637\) 0.993665 + 15.1604i 0.0393704 + 0.600677i
\(638\) 22.9764 22.4411i 0.909643 0.888453i
\(639\) −9.76550 13.3217i −0.386317 0.527000i
\(640\) −29.7232 23.6228i −1.17491 0.933774i
\(641\) −9.20353 + 15.9410i −0.363517 + 0.629631i −0.988537 0.150978i \(-0.951758\pi\)
0.625020 + 0.780609i \(0.285091\pi\)
\(642\) 3.53112 15.8577i 0.139362 0.625854i
\(643\) −1.76785 0.871809i −0.0697174 0.0343808i 0.407096 0.913385i \(-0.366542\pi\)
−0.476813 + 0.879005i \(0.658208\pi\)
\(644\) 15.2551 + 27.9222i 0.601134 + 1.10029i
\(645\) −39.8794 11.1558i −1.57025 0.439259i
\(646\) −4.17928 3.75317i −0.164432 0.147667i
\(647\) −0.871498 2.10398i −0.0342621 0.0827161i 0.905822 0.423658i \(-0.139254\pi\)
−0.940084 + 0.340942i \(0.889254\pi\)
\(648\) 23.9899 + 8.51366i 0.942414 + 0.334448i
\(649\) 16.8867 40.7680i 0.662860 1.60028i
\(650\) 4.35498 + 9.09980i 0.170816 + 0.356923i
\(651\) −35.1669 + 19.7926i −1.37830 + 0.775734i
\(652\) −30.9321 16.1712i −1.21139 0.633312i
\(653\) 5.56688 + 16.3995i 0.217849 + 0.641762i 0.999830 + 0.0184595i \(0.00587619\pi\)
−0.781981 + 0.623303i \(0.785790\pi\)
\(654\) 46.3238 8.12351i 1.81140 0.317654i
\(655\) −11.0130 41.1010i −0.430313 1.60595i
\(656\) 29.9439 + 14.0910i 1.16911 + 0.550160i
\(657\) 2.40256 15.5975i 0.0937327 0.608516i
\(658\) 8.48195 + 21.1798i 0.330661 + 0.825674i
\(659\) −20.2759 17.7815i −0.789838 0.692669i 0.166142 0.986102i \(-0.446869\pi\)
−0.955980 + 0.293432i \(0.905202\pi\)
\(660\) −8.33477 36.0408i −0.324431 1.40289i
\(661\) 0.0916699 1.39861i 0.00356555 0.0543997i −0.995705 0.0925787i \(-0.970489\pi\)
0.999271 + 0.0381790i \(0.0121557\pi\)
\(662\) 16.7839 14.3727i 0.652323 0.558611i
\(663\) −0.752322 + 2.13891i −0.0292178 + 0.0830685i
\(664\) 1.38762 + 46.0906i 0.0538503 + 1.78866i
\(665\) −48.3283 + 20.0182i −1.87409 + 0.776274i
\(666\) −14.4535 + 11.8377i −0.560061 + 0.458700i
\(667\) 4.91187 + 24.6936i 0.190188 + 0.956141i
\(668\) −38.3203 5.96679i −1.48266 0.230862i
\(669\) 14.5244 + 6.20367i 0.561545 + 0.239848i
\(670\) 57.9949 32.5783i 2.24054 1.25861i
\(671\) −3.67685 + 2.12283i −0.141943 + 0.0819510i
\(672\) −41.7765 14.3883i −1.61156 0.555040i
\(673\) 29.8517 + 17.2349i 1.15070 + 0.664356i 0.949058 0.315103i \(-0.102039\pi\)
0.201642 + 0.979459i \(0.435372\pi\)
\(674\) 3.52129 + 0.0414974i 0.135635 + 0.00159842i
\(675\) 7.38282 + 31.6884i 0.284165 + 1.21969i
\(676\) −9.46356 + 21.4058i −0.363983 + 0.823299i
\(677\) 45.8890 + 15.5772i 1.76366 + 0.598682i 0.998955 0.0457000i \(-0.0145518\pi\)
0.764704 + 0.644382i \(0.222885\pi\)
\(678\) 1.02941 + 9.48133i 0.0395342 + 0.364128i
\(679\) −7.93684 6.09015i −0.304588 0.233719i
\(680\) 8.44939 6.89716i 0.324019 0.264494i
\(681\) −4.68747 + 0.879068i −0.179624 + 0.0336860i
\(682\) 7.73233 21.9264i 0.296086 0.839605i
\(683\) 6.53270 + 4.36501i 0.249967 + 0.167023i 0.674241 0.738511i \(-0.264471\pi\)
−0.424274 + 0.905534i \(0.639471\pi\)
\(684\) 10.7259 + 17.7505i 0.410115 + 0.678706i
\(685\) 2.53235 12.7310i 0.0967560 0.486425i
\(686\) 5.74639 39.9999i 0.219398 1.52720i
\(687\) 8.52710 9.51083i 0.325329 0.362861i
\(688\) 3.20165 28.3170i 0.122062 1.07957i
\(689\) 4.02448 + 1.07836i 0.153320 + 0.0410821i
\(690\) 27.2407 + 9.94365i 1.03704 + 0.378548i
\(691\) −0.716737 + 0.817282i −0.0272660 + 0.0310909i −0.765312 0.643659i \(-0.777415\pi\)
0.738046 + 0.674750i \(0.235749\pi\)
\(692\) 29.2927 + 6.54789i 1.11354 + 0.248913i
\(693\) −23.1264 36.3106i −0.878501 1.37933i
\(694\) 38.8812 + 26.6476i 1.47591 + 1.01153i
\(695\) 43.5556 + 56.7627i 1.65216 + 2.15313i
\(696\) −28.1405 20.7499i −1.06666 0.786524i
\(697\) −5.78749 + 7.54240i −0.219217 + 0.285689i
\(698\) −6.13786 18.8068i −0.232321 0.711847i
\(699\) −29.3994 8.22414i −1.11199 0.311066i
\(700\) −13.3274 54.8809i −0.503730 2.07430i
\(701\) 11.4853 7.67421i 0.433792 0.289851i −0.319438 0.947607i \(-0.603494\pi\)
0.753231 + 0.657756i \(0.228494\pi\)
\(702\) 4.95720 6.74588i 0.187098 0.254607i
\(703\) −15.2210 −0.574070
\(704\) 23.5699 9.61817i 0.888324 0.362499i
\(705\) 18.5474 + 9.40082i 0.698535 + 0.354055i
\(706\) −9.10133 + 32.4329i −0.342533 + 1.22063i
\(707\) 23.5555 + 11.6163i 0.885894 + 0.436875i
\(708\) −46.7628 10.9929i −1.75745 0.413137i
\(709\) −8.79595 + 25.9120i −0.330339 + 0.973146i 0.647187 + 0.762331i \(0.275945\pi\)
−0.977526 + 0.210815i \(0.932388\pi\)
\(710\) 25.5664 + 5.39943i 0.959492 + 0.202637i
\(711\) 19.8744 + 36.2363i 0.745347 + 1.35897i
\(712\) 25.6959 + 11.7241i 0.962993 + 0.439380i
\(713\) 11.0953 + 14.4597i 0.415523 + 0.541520i
\(714\) 6.59502 10.8454i 0.246812 0.405879i
\(715\) −12.1392 0.795644i −0.453979 0.0297554i
\(716\) 7.92999 2.48505i 0.296358 0.0928708i
\(717\) −4.56897 + 31.9898i −0.170631 + 1.19468i
\(718\) −5.32126 7.10665i −0.198588 0.265218i
\(719\) −0.708024 + 0.708024i −0.0264048 + 0.0264048i −0.720186 0.693781i \(-0.755944\pi\)
0.693781 + 0.720186i \(0.255944\pi\)
\(720\) −37.2604 + 15.2760i −1.38861 + 0.569301i
\(721\) 23.2397 + 23.2397i 0.865493 + 0.865493i
\(722\) 1.41819 9.87184i 0.0527795 0.367392i
\(723\) 0.0209954 + 0.0523025i 0.000780828 + 0.00194515i
\(724\) −2.29590 + 25.7232i −0.0853263 + 0.955994i
\(725\) 2.92284 44.5939i 0.108551 1.65618i
\(726\) −2.05530 0.601151i −0.0762795 0.0223108i
\(727\) −6.01873 + 4.61834i −0.223222 + 0.171285i −0.714318 0.699821i \(-0.753263\pi\)
0.491096 + 0.871106i \(0.336596\pi\)
\(728\) −8.49478 + 11.7889i −0.314837 + 0.436926i
\(729\) 20.3059 17.7952i 0.752072 0.659081i
\(730\) 13.6246 + 20.9202i 0.504270 + 0.774292i
\(731\) 7.75213 + 2.63149i 0.286723 + 0.0973293i
\(732\) 2.92564 + 3.57809i 0.108135 + 0.132250i
\(733\) 17.1907 34.8593i 0.634953 1.28756i −0.306968 0.951720i \(-0.599314\pi\)
0.941920 0.335837i \(-0.109019\pi\)
\(734\) 2.21529 + 3.94359i 0.0817678 + 0.145561i
\(735\) −42.3573 64.9223i −1.56237 2.39469i
\(736\) −3.76538 + 19.5977i −0.138794 + 0.722381i
\(737\) 44.6006i 1.64288i
\(738\) 28.5521 20.4173i 1.05102 0.751571i
\(739\) 10.6955 + 16.0069i 0.393439 + 0.588823i 0.974321 0.225165i \(-0.0722921\pi\)
−0.580882 + 0.813988i \(0.697292\pi\)
\(740\) 4.54716 29.2031i 0.167157 1.07353i
\(741\) 6.60695 1.69289i 0.242712 0.0621899i
\(742\) −20.7962 10.5620i −0.763453 0.387744i
\(743\) −6.50184 4.98904i −0.238529 0.183030i 0.482579 0.875853i \(-0.339700\pi\)
−0.721108 + 0.692823i \(0.756367\pi\)
\(744\) −24.9138 4.46202i −0.913386 0.163586i
\(745\) 41.0770 31.5195i 1.50494 1.15478i
\(746\) 0.235855 + 1.26335i 0.00863527 + 0.0462546i
\(747\) 43.3798 + 22.5886i 1.58718 + 0.826472i
\(748\) 1.25729 + 7.20422i 0.0459711 + 0.263412i
\(749\) 22.4872 + 19.7208i 0.821665 + 0.720581i
\(750\) −8.49058 5.95700i −0.310032 0.217519i
\(751\) −4.44252 + 16.5797i −0.162110 + 0.605002i 0.836281 + 0.548301i \(0.184725\pi\)
−0.998391 + 0.0567017i \(0.981942\pi\)
\(752\) −4.35078 + 13.6322i −0.158657 + 0.497116i
\(753\) −37.7836 + 12.3654i −1.37691 + 0.450620i
\(754\) −9.20393 + 6.89164i −0.335187 + 0.250979i
\(755\) −3.80337 0.756538i −0.138419 0.0275332i
\(756\) −34.9561 + 31.2154i −1.27134 + 1.13529i
\(757\) 16.1033 24.1003i 0.585285 0.875942i −0.414127 0.910219i \(-0.635913\pi\)
0.999412 + 0.0342776i \(0.0109130\pi\)
\(758\) 14.1716 + 29.6118i 0.514735 + 1.07555i
\(759\) −14.7582 + 12.6590i −0.535688 + 0.459491i
\(760\) −31.3712 9.60643i −1.13795 0.348462i
\(761\) 15.5799 20.3041i 0.564772 0.736025i −0.420449 0.907316i \(-0.638127\pi\)
0.985220 + 0.171292i \(0.0547940\pi\)
\(762\) 12.8318 + 33.0884i 0.464847 + 1.19867i
\(763\) −27.8318 + 81.9900i −1.00758 + 2.96824i
\(764\) −0.270952 + 11.4943i −0.00980271 + 0.415851i
\(765\) −2.00754 11.3931i −0.0725826 0.411919i
\(766\) −13.2885 + 12.9790i −0.480134 + 0.468949i
\(767\) −7.89883 + 13.6812i −0.285210 + 0.493999i
\(768\) −14.4676 23.6366i −0.522055 0.852912i
\(769\) −21.7412 37.6568i −0.784007 1.35794i −0.929590 0.368594i \(-0.879839\pi\)
0.145583 0.989346i \(-0.453494\pi\)
\(770\) 65.5706 + 18.4004i 2.36300 + 0.663106i
\(771\) −9.47714 12.6354i −0.341311 0.455052i
\(772\) −40.4997 24.6730i −1.45762 0.888001i
\(773\)