Properties

Label 120.2.w.c.53.4
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 53.4
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11940 - 0.864261i) q^{2} +(-1.72368 - 0.170116i) q^{3} +(0.506107 + 1.93490i) q^{4} +(1.36575 + 1.77052i) q^{5} +(1.78246 + 1.68013i) q^{6} +(2.06963 - 2.06963i) q^{7} +(1.10573 - 2.60334i) q^{8} +(2.94212 + 0.586449i) q^{9} +O(q^{10})\) \(q+(-1.11940 - 0.864261i) q^{2} +(-1.72368 - 0.170116i) q^{3} +(0.506107 + 1.93490i) q^{4} +(1.36575 + 1.77052i) q^{5} +(1.78246 + 1.68013i) q^{6} +(2.06963 - 2.06963i) q^{7} +(1.10573 - 2.60334i) q^{8} +(2.94212 + 0.586449i) q^{9} +(0.00136610 - 3.16228i) q^{10} +0.510276 q^{11} +(-0.543207 - 3.42125i) q^{12} +(0.750647 - 0.750647i) q^{13} +(-4.10544 + 0.528041i) q^{14} +(-2.05292 - 3.28413i) q^{15} +(-3.48771 + 1.95854i) q^{16} +(3.14698 + 3.14698i) q^{17} +(-2.78656 - 3.19923i) q^{18} +6.01198 q^{19} +(-2.73456 + 3.53867i) q^{20} +(-3.91945 + 3.21529i) q^{21} +(-0.571203 - 0.441012i) q^{22} +(-2.54575 + 2.54575i) q^{23} +(-2.34878 + 4.29921i) q^{24} +(-1.26945 + 4.83617i) q^{25} +(-1.48903 + 0.191519i) q^{26} +(-4.97150 - 1.51135i) q^{27} +(5.05199 + 2.95708i) q^{28} -5.10739i q^{29} +(-0.540308 + 5.45051i) q^{30} -4.56672 q^{31} +(5.59683 + 0.821906i) q^{32} +(-0.879551 - 0.0868061i) q^{33} +(-0.802913 - 6.24253i) q^{34} +(6.49090 + 0.837710i) q^{35} +(0.354305 + 5.98953i) q^{36} +(-6.76263 - 6.76263i) q^{37} +(-6.72981 - 5.19592i) q^{38} +(-1.42157 + 1.16618i) q^{39} +(6.11940 - 1.59781i) q^{40} -4.24355i q^{41} +(7.16627 - 0.211772i) q^{42} +(-5.95972 + 5.95972i) q^{43} +(0.258254 + 0.987336i) q^{44} +(2.97989 + 6.01001i) q^{45} +(5.04990 - 0.649518i) q^{46} +(-3.33849 - 3.33849i) q^{47} +(6.34486 - 2.78257i) q^{48} -1.56672i q^{49} +(5.60073 - 4.31647i) q^{50} +(-4.88902 - 5.95972i) q^{51} +(1.83234 + 1.07252i) q^{52} +(5.75871 + 5.75871i) q^{53} +(4.25889 + 5.98848i) q^{54} +(0.696910 + 0.903452i) q^{55} +(-3.09950 - 7.67638i) q^{56} +(-10.3627 - 1.02273i) q^{57} +(-4.41411 + 5.71720i) q^{58} -1.16514i q^{59} +(5.31548 - 5.63433i) q^{60} -4.92929i q^{61} +(5.11198 + 3.94684i) q^{62} +(7.30283 - 4.87536i) q^{63} +(-5.55474 - 5.75716i) q^{64} +(2.35423 + 0.303835i) q^{65} +(0.909545 + 0.857332i) q^{66} +(7.98415 + 7.98415i) q^{67} +(-4.49639 + 7.68180i) q^{68} +(4.82112 - 3.95497i) q^{69} +(-6.54191 - 6.54756i) q^{70} -5.09150i q^{71} +(4.77991 - 7.01088i) q^{72} +(-3.20654 - 3.20654i) q^{73} +(1.72540 + 13.4148i) q^{74} +(3.01082 - 8.12003i) q^{75} +(3.04271 + 11.6326i) q^{76} +(1.05608 - 1.05608i) q^{77} +(2.59918 - 0.0768090i) q^{78} +7.31215i q^{79} +(-8.23097 - 3.50017i) q^{80} +(8.31215 + 3.45081i) q^{81} +(-3.66754 + 4.75023i) q^{82} +(-4.77995 - 4.77995i) q^{83} +(-8.20494 - 5.95647i) q^{84} +(-1.27378 + 9.86975i) q^{85} +(11.8220 - 1.52055i) q^{86} +(-0.868848 + 8.80349i) q^{87} +(0.564226 - 1.32842i) q^{88} -12.6431 q^{89} +(1.85853 - 9.30300i) q^{90} -3.10712i q^{91} +(-6.21420 - 3.63736i) q^{92} +(7.87155 + 0.776871i) q^{93} +(0.851777 + 6.62243i) q^{94} +(8.21087 + 10.6443i) q^{95} +(-9.50730 - 2.36881i) q^{96} +(10.8789 - 10.8789i) q^{97} +(-1.35405 + 1.75378i) q^{98} +(1.50129 + 0.299251i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11940 0.864261i −0.791534 0.611125i
\(3\) −1.72368 0.170116i −0.995165 0.0982164i
\(4\) 0.506107 + 1.93490i 0.253054 + 0.967452i
\(5\) 1.36575 + 1.77052i 0.610783 + 0.791798i
\(6\) 1.78246 + 1.68013i 0.727685 + 0.685911i
\(7\) 2.06963 2.06963i 0.782246 0.782246i −0.197964 0.980209i \(-0.563433\pi\)
0.980209 + 0.197964i \(0.0634328\pi\)
\(8\) 1.10573 2.60334i 0.390933 0.920419i
\(9\) 2.94212 + 0.586449i 0.980707 + 0.195483i
\(10\) 0.00136610 3.16228i 0.000431999 1.00000i
\(11\) 0.510276 0.153854 0.0769270 0.997037i \(-0.475489\pi\)
0.0769270 + 0.997037i \(0.475489\pi\)
\(12\) −0.543207 3.42125i −0.156810 0.987629i
\(13\) 0.750647 0.750647i 0.208192 0.208192i −0.595307 0.803499i \(-0.702969\pi\)
0.803499 + 0.595307i \(0.202969\pi\)
\(14\) −4.10544 + 0.528041i −1.09722 + 0.141125i
\(15\) −2.05292 3.28413i −0.530062 0.847959i
\(16\) −3.48771 + 1.95854i −0.871928 + 0.489635i
\(17\) 3.14698 + 3.14698i 0.763254 + 0.763254i 0.976909 0.213656i \(-0.0685370\pi\)
−0.213656 + 0.976909i \(0.568537\pi\)
\(18\) −2.78656 3.19923i −0.656799 0.754066i
\(19\) 6.01198 1.37924 0.689622 0.724170i \(-0.257777\pi\)
0.689622 + 0.724170i \(0.257777\pi\)
\(20\) −2.73456 + 3.53867i −0.611466 + 0.791270i
\(21\) −3.91945 + 3.21529i −0.855293 + 0.701634i
\(22\) −0.571203 0.441012i −0.121781 0.0940240i
\(23\) −2.54575 + 2.54575i −0.530825 + 0.530825i −0.920818 0.389993i \(-0.872478\pi\)
0.389993 + 0.920818i \(0.372478\pi\)
\(24\) −2.34878 + 4.29921i −0.479443 + 0.877573i
\(25\) −1.26945 + 4.83617i −0.253889 + 0.967233i
\(26\) −1.48903 + 0.191519i −0.292023 + 0.0375599i
\(27\) −4.97150 1.51135i −0.956766 0.290859i
\(28\) 5.05199 + 2.95708i 0.954736 + 0.558835i
\(29\) 5.10739i 0.948418i −0.880412 0.474209i \(-0.842734\pi\)
0.880412 0.474209i \(-0.157266\pi\)
\(30\) −0.540308 + 5.45051i −0.0986463 + 0.995123i
\(31\) −4.56672 −0.820207 −0.410104 0.912039i \(-0.634507\pi\)
−0.410104 + 0.912039i \(0.634507\pi\)
\(32\) 5.59683 + 0.821906i 0.989389 + 0.145294i
\(33\) −0.879551 0.0868061i −0.153110 0.0151110i
\(34\) −0.802913 6.24253i −0.137699 1.07058i
\(35\) 6.49090 + 0.837710i 1.09716 + 0.141599i
\(36\) 0.354305 + 5.98953i 0.0590509 + 0.998255i
\(37\) −6.76263 6.76263i −1.11177 1.11177i −0.992911 0.118858i \(-0.962077\pi\)
−0.118858 0.992911i \(-0.537923\pi\)
\(38\) −6.72981 5.19592i −1.09172 0.842890i
\(39\) −1.42157 + 1.16618i −0.227633 + 0.186738i
\(40\) 6.11940 1.59781i 0.967561 0.252636i
\(41\) 4.24355i 0.662732i −0.943502 0.331366i \(-0.892491\pi\)
0.943502 0.331366i \(-0.107509\pi\)
\(42\) 7.16627 0.211772i 1.10578 0.0326771i
\(43\) −5.95972 + 5.95972i −0.908848 + 0.908848i −0.996179 0.0873310i \(-0.972166\pi\)
0.0873310 + 0.996179i \(0.472166\pi\)
\(44\) 0.258254 + 0.987336i 0.0389333 + 0.148846i
\(45\) 2.97989 + 6.01001i 0.444216 + 0.895920i
\(46\) 5.04990 0.649518i 0.744567 0.0957661i
\(47\) −3.33849 3.33849i −0.486969 0.486969i 0.420379 0.907349i \(-0.361897\pi\)
−0.907349 + 0.420379i \(0.861897\pi\)
\(48\) 6.34486 2.78257i 0.915802 0.401630i
\(49\) 1.56672i 0.223817i
\(50\) 5.60073 4.31647i 0.792062 0.610440i
\(51\) −4.88902 5.95972i −0.684599 0.834527i
\(52\) 1.83234 + 1.07252i 0.254100 + 0.148732i
\(53\) 5.75871 + 5.75871i 0.791019 + 0.791019i 0.981660 0.190641i \(-0.0610565\pi\)
−0.190641 + 0.981660i \(0.561057\pi\)
\(54\) 4.25889 + 5.98848i 0.579562 + 0.814928i
\(55\) 0.696910 + 0.903452i 0.0939714 + 0.121821i
\(56\) −3.09950 7.67638i −0.414188 1.02580i
\(57\) −10.3627 1.02273i −1.37257 0.135464i
\(58\) −4.41411 + 5.71720i −0.579602 + 0.750706i
\(59\) 1.16514i 0.151689i −0.997120 0.0758444i \(-0.975835\pi\)
0.997120 0.0758444i \(-0.0241652\pi\)
\(60\) 5.31548 5.63433i 0.686226 0.727389i
\(61\) 4.92929i 0.631131i −0.948904 0.315565i \(-0.897806\pi\)
0.948904 0.315565i \(-0.102194\pi\)
\(62\) 5.11198 + 3.94684i 0.649222 + 0.501249i
\(63\) 7.30283 4.87536i 0.920070 0.614238i
\(64\) −5.55474 5.75716i −0.694342 0.719645i
\(65\) 2.35423 + 0.303835i 0.292006 + 0.0376861i
\(66\) 0.909545 + 0.857332i 0.111957 + 0.105530i
\(67\) 7.98415 + 7.98415i 0.975419 + 0.975419i 0.999705 0.0242864i \(-0.00773136\pi\)
−0.0242864 + 0.999705i \(0.507731\pi\)
\(68\) −4.49639 + 7.68180i −0.545267 + 0.931555i
\(69\) 4.82112 3.95497i 0.580395 0.476123i
\(70\) −6.54191 6.54756i −0.781908 0.782584i
\(71\) 5.09150i 0.604250i −0.953268 0.302125i \(-0.902304\pi\)
0.953268 0.302125i \(-0.0976959\pi\)
\(72\) 4.77991 7.01088i 0.563317 0.826241i
\(73\) −3.20654 3.20654i −0.375297 0.375297i 0.494105 0.869402i \(-0.335496\pi\)
−0.869402 + 0.494105i \(0.835496\pi\)
\(74\) 1.72540 + 13.4148i 0.200574 + 1.55943i
\(75\) 3.01082 8.12003i 0.347660 0.937621i
\(76\) 3.04271 + 11.6326i 0.349023 + 1.33435i
\(77\) 1.05608 1.05608i 0.120352 0.120352i
\(78\) 2.59918 0.0768090i 0.294300 0.00869691i
\(79\) 7.31215i 0.822682i 0.911482 + 0.411341i \(0.134939\pi\)
−0.911482 + 0.411341i \(0.865061\pi\)
\(80\) −8.23097 3.50017i −0.920250 0.391331i
\(81\) 8.31215 + 3.45081i 0.923573 + 0.383423i
\(82\) −3.66754 + 4.75023i −0.405012 + 0.524575i
\(83\) −4.77995 4.77995i −0.524668 0.524668i 0.394310 0.918978i \(-0.370984\pi\)
−0.918978 + 0.394310i \(0.870984\pi\)
\(84\) −8.20494 5.95647i −0.895233 0.649904i
\(85\) −1.27378 + 9.86975i −0.138161 + 1.07052i
\(86\) 11.8220 1.52055i 1.27480 0.163965i
\(87\) −0.868848 + 8.80349i −0.0931502 + 0.943833i
\(88\) 0.564226 1.32842i 0.0601467 0.141610i
\(89\) −12.6431 −1.34017 −0.670083 0.742286i \(-0.733741\pi\)
−0.670083 + 0.742286i \(0.733741\pi\)
\(90\) 1.85853 9.30300i 0.195907 0.980623i
\(91\) 3.10712i 0.325715i
\(92\) −6.21420 3.63736i −0.647875 0.379221i
\(93\) 7.87155 + 0.776871i 0.816241 + 0.0805578i
\(94\) 0.851777 + 6.62243i 0.0878541 + 0.683052i
\(95\) 8.21087 + 10.6443i 0.842418 + 1.09208i
\(96\) −9.50730 2.36881i −0.970335 0.241766i
\(97\) 10.8789 10.8789i 1.10458 1.10458i 0.110732 0.993850i \(-0.464680\pi\)
0.993850 0.110732i \(-0.0353195\pi\)
\(98\) −1.35405 + 1.75378i −0.136780 + 0.177159i
\(99\) 1.50129 + 0.299251i 0.150886 + 0.0300759i
\(100\) −10.0000 0.00863998i −1.00000 0.000863998i
\(101\) −6.41002 −0.637821 −0.318911 0.947785i \(-0.603317\pi\)
−0.318911 + 0.947785i \(0.603317\pi\)
\(102\) 0.322010 + 10.8967i 0.0318838 + 1.07893i
\(103\) −1.86309 1.86309i −0.183575 0.183575i 0.609336 0.792912i \(-0.291436\pi\)
−0.792912 + 0.609336i \(0.791436\pi\)
\(104\) −1.12418 2.78420i −0.110235 0.273013i
\(105\) −11.0457 2.54815i −1.07795 0.248674i
\(106\) −1.46927 11.4233i −0.142708 1.10953i
\(107\) −10.0319 + 10.0319i −0.969824 + 0.969824i −0.999558 0.0297341i \(-0.990534\pi\)
0.0297341 + 0.999558i \(0.490534\pi\)
\(108\) 0.408206 10.3843i 0.0392797 0.999228i
\(109\) −12.6448 −1.21115 −0.605577 0.795786i \(-0.707058\pi\)
−0.605577 + 0.795786i \(0.707058\pi\)
\(110\) 0.000697089 1.61364i 6.64648e−5 0.153854i
\(111\) 10.5062 + 12.8070i 0.997200 + 1.21559i
\(112\) −3.16482 + 11.2717i −0.299047 + 1.06508i
\(113\) −1.88933 + 1.88933i −0.177733 + 0.177733i −0.790367 0.612634i \(-0.790110\pi\)
0.612634 + 0.790367i \(0.290110\pi\)
\(114\) 10.7161 + 10.1009i 1.00365 + 0.946039i
\(115\) −7.98415 1.03043i −0.744525 0.0960878i
\(116\) 9.88231 2.58489i 0.917549 0.240001i
\(117\) 2.64871 1.76828i 0.244874 0.163477i
\(118\) −1.00699 + 1.30426i −0.0927008 + 0.120067i
\(119\) 13.0261 1.19410
\(120\) −10.8197 + 1.71310i −0.987696 + 0.156384i
\(121\) −10.7396 −0.976329
\(122\) −4.26019 + 5.51784i −0.385700 + 0.499562i
\(123\) −0.721896 + 7.31452i −0.0650912 + 0.659528i
\(124\) −2.31125 8.83617i −0.207556 0.793511i
\(125\) −10.2963 + 4.35743i −0.920925 + 0.389740i
\(126\) −12.3884 0.854070i −1.10364 0.0760866i
\(127\) 0.964015 0.964015i 0.0855425 0.0855425i −0.663041 0.748583i \(-0.730734\pi\)
0.748583 + 0.663041i \(0.230734\pi\)
\(128\) 1.24228 + 11.2453i 0.109803 + 0.993953i
\(129\) 11.2865 9.25878i 0.993718 0.815190i
\(130\) −2.37273 2.37478i −0.208102 0.208282i
\(131\) 7.59234 0.663346 0.331673 0.943395i \(-0.392387\pi\)
0.331673 + 0.943395i \(0.392387\pi\)
\(132\) −0.277186 1.74578i −0.0241259 0.151951i
\(133\) 12.4426 12.4426i 1.07891 1.07891i
\(134\) −2.03706 15.8378i −0.175975 1.36818i
\(135\) −4.11397 10.8662i −0.354074 0.935217i
\(136\) 11.6723 4.71295i 1.00089 0.404132i
\(137\) −0.713542 0.713542i −0.0609620 0.0609620i 0.675968 0.736931i \(-0.263726\pi\)
−0.736931 + 0.675968i \(0.763726\pi\)
\(138\) −8.81488 + 0.260491i −0.750373 + 0.0221744i
\(139\) 9.01457 0.764606 0.382303 0.924037i \(-0.375131\pi\)
0.382303 + 0.924037i \(0.375131\pi\)
\(140\) 1.66420 + 12.9833i 0.140651 + 1.09729i
\(141\) 5.18655 + 6.32241i 0.436787 + 0.532443i
\(142\) −4.40038 + 5.69942i −0.369272 + 0.478284i
\(143\) 0.383038 0.383038i 0.0320312 0.0320312i
\(144\) −11.4099 + 3.71689i −0.950821 + 0.309741i
\(145\) 9.04271 6.97542i 0.750956 0.579277i
\(146\) 0.818111 + 6.36069i 0.0677073 + 0.526414i
\(147\) −0.266524 + 2.70052i −0.0219825 + 0.222735i
\(148\) 9.66243 16.5077i 0.794247 1.35692i
\(149\) 13.1573i 1.07789i −0.842341 0.538944i \(-0.818823\pi\)
0.842341 0.538944i \(-0.181177\pi\)
\(150\) −10.3881 + 6.48742i −0.848188 + 0.529695i
\(151\) 2.75982 0.224591 0.112295 0.993675i \(-0.464180\pi\)
0.112295 + 0.993675i \(0.464180\pi\)
\(152\) 6.64761 15.6512i 0.539192 1.26948i
\(153\) 7.41324 + 11.1043i 0.599325 + 0.897731i
\(154\) −2.09491 + 0.269447i −0.168812 + 0.0217126i
\(155\) −6.23700 8.08545i −0.500968 0.649439i
\(156\) −2.97591 2.16039i −0.238263 0.172970i
\(157\) 4.38090 + 4.38090i 0.349634 + 0.349634i 0.859973 0.510339i \(-0.170480\pi\)
−0.510339 + 0.859973i \(0.670480\pi\)
\(158\) 6.31961 8.18522i 0.502761 0.651181i
\(159\) −8.94650 10.9058i −0.709504 0.864886i
\(160\) 6.18868 + 11.0318i 0.489258 + 0.872139i
\(161\) 10.5375i 0.830472i
\(162\) −6.32222 11.0467i −0.496720 0.867911i
\(163\) 0.470868 0.470868i 0.0368812 0.0368812i −0.688426 0.725307i \(-0.741698\pi\)
0.725307 + 0.688426i \(0.241698\pi\)
\(164\) 8.21087 2.14769i 0.641162 0.167707i
\(165\) −1.04756 1.67581i −0.0815522 0.130462i
\(166\) 1.21955 + 9.48180i 0.0946553 + 0.735930i
\(167\) 0.495354 + 0.495354i 0.0383316 + 0.0383316i 0.726013 0.687681i \(-0.241371\pi\)
−0.687681 + 0.726013i \(0.741371\pi\)
\(168\) 4.03666 + 13.7589i 0.311435 + 1.06152i
\(169\) 11.8731i 0.913312i
\(170\) 9.95591 9.94731i 0.763583 0.762924i
\(171\) 17.6880 + 3.52572i 1.35263 + 0.269619i
\(172\) −14.5477 8.51523i −1.10925 0.649280i
\(173\) −2.32674 2.32674i −0.176899 0.176899i 0.613104 0.790002i \(-0.289921\pi\)
−0.790002 + 0.613104i \(0.789921\pi\)
\(174\) 8.58109 9.10370i 0.650531 0.690150i
\(175\) 7.38178 + 12.6363i 0.558010 + 0.955218i
\(176\) −1.77970 + 0.999395i −0.134150 + 0.0753323i
\(177\) −0.198209 + 2.00833i −0.0148983 + 0.150955i
\(178\) 14.1527 + 10.9269i 1.06079 + 0.819008i
\(179\) 13.9141i 1.03999i 0.854169 + 0.519996i \(0.174066\pi\)
−0.854169 + 0.519996i \(0.825934\pi\)
\(180\) −10.1207 + 8.80751i −0.754349 + 0.656473i
\(181\) 5.80972i 0.431833i 0.976412 + 0.215917i \(0.0692740\pi\)
−0.976412 + 0.215917i \(0.930726\pi\)
\(182\) −2.68536 + 3.47811i −0.199052 + 0.257814i
\(183\) −0.838550 + 8.49650i −0.0619874 + 0.628079i
\(184\) 3.81254 + 9.44235i 0.281064 + 0.696099i
\(185\) 2.73727 21.2094i 0.201248 1.55935i
\(186\) −8.13998 7.67270i −0.596852 0.562589i
\(187\) 1.60583 + 1.60583i 0.117430 + 0.117430i
\(188\) 4.77003 8.14930i 0.347890 0.594349i
\(189\) −13.4171 + 7.16122i −0.975950 + 0.520902i
\(190\) 0.00821298 19.0116i 0.000595832 1.37924i
\(191\) 13.8456i 1.00183i −0.865497 0.500914i \(-0.832997\pi\)
0.865497 0.500914i \(-0.167003\pi\)
\(192\) 8.59519 + 10.8684i 0.620304 + 0.784361i
\(193\) 4.57254 + 4.57254i 0.329138 + 0.329138i 0.852259 0.523120i \(-0.175232\pi\)
−0.523120 + 0.852259i \(0.675232\pi\)
\(194\) −21.5800 + 2.77562i −1.54935 + 0.199278i
\(195\) −4.00624 0.924205i −0.286893 0.0661837i
\(196\) 3.03145 0.792928i 0.216532 0.0566377i
\(197\) −3.85757 + 3.85757i −0.274840 + 0.274840i −0.831045 0.556205i \(-0.812257\pi\)
0.556205 + 0.831045i \(0.312257\pi\)
\(198\) −1.42192 1.63249i −0.101051 0.116016i
\(199\) 5.91833i 0.419540i −0.977751 0.209770i \(-0.932729\pi\)
0.977751 0.209770i \(-0.0672714\pi\)
\(200\) 11.1865 + 8.65227i 0.791006 + 0.611808i
\(201\) −12.4039 15.1203i −0.874900 1.06650i
\(202\) 7.17537 + 5.53993i 0.504858 + 0.389788i
\(203\) −10.5704 10.5704i −0.741896 0.741896i
\(204\) 9.05712 12.4760i 0.634125 0.873497i
\(205\) 7.51328 5.79564i 0.524750 0.404785i
\(206\) 0.475344 + 3.69573i 0.0331188 + 0.257494i
\(207\) −8.98285 + 5.99695i −0.624351 + 0.416817i
\(208\) −1.14787 + 4.08821i −0.0795904 + 0.283467i
\(209\) 3.06777 0.212202
\(210\) 10.1623 + 12.3988i 0.701265 + 0.855596i
\(211\) 6.95372i 0.478714i −0.970932 0.239357i \(-0.923063\pi\)
0.970932 0.239357i \(-0.0769366\pi\)
\(212\) −8.22802 + 14.0571i −0.565103 + 0.965444i
\(213\) −0.866144 + 8.77609i −0.0593472 + 0.601328i
\(214\) 19.8999 2.55953i 1.36033 0.174966i
\(215\) −18.6913 2.41228i −1.27473 0.164516i
\(216\) −9.43167 + 11.2714i −0.641744 + 0.766919i
\(217\) −9.45141 + 9.45141i −0.641604 + 0.641604i
\(218\) 14.1546 + 10.9284i 0.958671 + 0.740166i
\(219\) 4.98156 + 6.07252i 0.336622 + 0.410343i
\(220\) −1.39538 + 1.80570i −0.0940766 + 0.121740i
\(221\) 4.72454 0.317807
\(222\) −0.691978 23.4162i −0.0464425 1.57159i
\(223\) −16.7218 16.7218i −1.11977 1.11977i −0.991774 0.127998i \(-0.959145\pi\)
−0.127998 0.991774i \(-0.540855\pi\)
\(224\) 13.2844 9.88231i 0.887601 0.660290i
\(225\) −6.57103 + 13.4841i −0.438069 + 0.898941i
\(226\) 3.74778 0.482039i 0.249298 0.0320647i
\(227\) 12.4814 12.4814i 0.828416 0.828416i −0.158881 0.987298i \(-0.550789\pi\)
0.987298 + 0.158881i \(0.0507887\pi\)
\(228\) −3.26575 20.5685i −0.216280 1.36218i
\(229\) −1.09678 −0.0724770 −0.0362385 0.999343i \(-0.511538\pi\)
−0.0362385 + 0.999343i \(0.511538\pi\)
\(230\) 8.04689 + 8.05384i 0.530596 + 0.531055i
\(231\) −2.00000 + 1.64069i −0.131590 + 0.107949i
\(232\) −13.2963 5.64737i −0.872942 0.370768i
\(233\) 6.98082 6.98082i 0.457329 0.457329i −0.440449 0.897778i \(-0.645181\pi\)
0.897778 + 0.440449i \(0.145181\pi\)
\(234\) −4.49322 0.309768i −0.293731 0.0202502i
\(235\) 1.35130 10.4704i 0.0881492 0.683014i
\(236\) 2.25444 0.589688i 0.146752 0.0383854i
\(237\) 1.24391 12.6038i 0.0808008 0.818704i
\(238\) −14.5814 11.2580i −0.945174 0.729746i
\(239\) −12.3210 −0.796976 −0.398488 0.917173i \(-0.630465\pi\)
−0.398488 + 0.917173i \(0.630465\pi\)
\(240\) 13.5921 + 7.43338i 0.877366 + 0.479822i
\(241\) −7.03833 −0.453379 −0.226689 0.973967i \(-0.572790\pi\)
−0.226689 + 0.973967i \(0.572790\pi\)
\(242\) 12.0219 + 9.28183i 0.772798 + 0.596659i
\(243\) −13.7404 7.36211i −0.881449 0.472279i
\(244\) 9.53771 2.49475i 0.610589 0.159710i
\(245\) 2.77390 2.13975i 0.177218 0.136704i
\(246\) 7.12974 7.56395i 0.454575 0.482260i
\(247\) 4.51288 4.51288i 0.287148 0.287148i
\(248\) −5.04954 + 11.8887i −0.320646 + 0.754934i
\(249\) 7.42595 + 9.05224i 0.470600 + 0.573662i
\(250\) 15.2916 + 4.02095i 0.967123 + 0.254307i
\(251\) −9.92262 −0.626311 −0.313155 0.949702i \(-0.601386\pi\)
−0.313155 + 0.949702i \(0.601386\pi\)
\(252\) 13.1294 + 11.6628i 0.827073 + 0.734688i
\(253\) −1.29904 + 1.29904i −0.0816696 + 0.0816696i
\(254\) −1.91228 + 0.245957i −0.119987 + 0.0154327i
\(255\) 3.87459 16.7956i 0.242636 1.05178i
\(256\) 8.32826 13.6616i 0.520516 0.853852i
\(257\) 14.5324 + 14.5324i 0.906508 + 0.906508i 0.995989 0.0894809i \(-0.0285208\pi\)
−0.0894809 + 0.995989i \(0.528521\pi\)
\(258\) −20.6361 + 0.609821i −1.28474 + 0.0379658i
\(259\) −27.9923 −1.73935
\(260\) 0.603601 + 4.70898i 0.0374338 + 0.292039i
\(261\) 2.99522 15.0266i 0.185400 0.930120i
\(262\) −8.49885 6.56176i −0.525061 0.405387i
\(263\) −10.8634 + 10.8634i −0.669867 + 0.669867i −0.957685 0.287818i \(-0.907070\pi\)
0.287818 + 0.957685i \(0.407070\pi\)
\(264\) −1.19853 + 2.19379i −0.0737643 + 0.135018i
\(265\) −2.33092 + 18.0608i −0.143187 + 1.10947i
\(266\) −24.6818 + 3.17457i −1.51334 + 0.194646i
\(267\) 21.7926 + 2.15079i 1.33369 + 0.131626i
\(268\) −11.4077 + 19.4894i −0.696838 + 1.19050i
\(269\) 32.3280i 1.97108i 0.169455 + 0.985538i \(0.445799\pi\)
−0.169455 + 0.985538i \(0.554201\pi\)
\(270\) −4.78610 + 15.7192i −0.291273 + 0.956640i
\(271\) 0.306338 0.0186087 0.00930434 0.999957i \(-0.497038\pi\)
0.00930434 + 0.999957i \(0.497038\pi\)
\(272\) −17.1392 4.81227i −1.03922 0.291787i
\(273\) −0.528571 + 5.35567i −0.0319905 + 0.324140i
\(274\) 0.182052 + 1.41543i 0.0109982 + 0.0855090i
\(275\) −0.647769 + 2.46778i −0.0390619 + 0.148813i
\(276\) 10.0925 + 7.32676i 0.607497 + 0.441019i
\(277\) 6.97897 + 6.97897i 0.419326 + 0.419326i 0.884971 0.465645i \(-0.154178\pi\)
−0.465645 + 0.884971i \(0.654178\pi\)
\(278\) −10.0909 7.79094i −0.605212 0.467270i
\(279\) −13.4358 2.67815i −0.804383 0.160337i
\(280\) 9.35801 15.9717i 0.559248 0.954494i
\(281\) 15.4596i 0.922240i 0.887338 + 0.461120i \(0.152552\pi\)
−0.887338 + 0.461120i \(0.847448\pi\)
\(282\) −0.341607 11.5598i −0.0203424 0.688378i
\(283\) 8.86458 8.86458i 0.526945 0.526945i −0.392715 0.919660i \(-0.628464\pi\)
0.919660 + 0.392715i \(0.128464\pi\)
\(284\) 9.85156 2.57684i 0.584583 0.152908i
\(285\) −12.3421 19.7441i −0.731084 1.16954i
\(286\) −0.759816 + 0.0977275i −0.0449289 + 0.00577875i
\(287\) −8.78258 8.78258i −0.518419 0.518419i
\(288\) 15.9845 + 5.70040i 0.941898 + 0.335899i
\(289\) 2.80690i 0.165112i
\(290\) −16.1510 0.00697721i −0.948418 0.000409716i
\(291\) −20.6023 + 16.9010i −1.20773 + 0.990754i
\(292\) 4.58150 7.82720i 0.268112 0.458053i
\(293\) −1.49638 1.49638i −0.0874192 0.0874192i 0.662045 0.749464i \(-0.269689\pi\)
−0.749464 + 0.662045i \(0.769689\pi\)
\(294\) 2.63230 2.79261i 0.153519 0.162868i
\(295\) 2.06291 1.59130i 0.120107 0.0926489i
\(296\) −25.0830 + 10.1278i −1.45792 + 0.588666i
\(297\) −2.53684 0.771206i −0.147202 0.0447499i
\(298\) −11.3713 + 14.7283i −0.658724 + 0.853186i
\(299\) 3.82192i 0.221027i
\(300\) 17.2353 + 1.71605i 0.995080 + 0.0990762i
\(301\) 24.6688i 1.42189i
\(302\) −3.08933 2.38520i −0.177771 0.137253i
\(303\) 11.0488 + 1.09045i 0.634738 + 0.0626445i
\(304\) −20.9681 + 11.7747i −1.20260 + 0.675325i
\(305\) 8.72738 6.73218i 0.499728 0.385484i
\(306\) 1.29866 18.8371i 0.0742393 1.07685i
\(307\) −12.4948 12.4948i −0.713118 0.713118i 0.254068 0.967186i \(-0.418231\pi\)
−0.967186 + 0.254068i \(0.918231\pi\)
\(308\) 2.57791 + 1.50893i 0.146890 + 0.0859791i
\(309\) 2.89442 + 3.52830i 0.164658 + 0.200718i
\(310\) −0.00623860 + 14.4412i −0.000354329 + 0.820207i
\(311\) 0.224632i 0.0127377i 0.999980 + 0.00636886i \(0.00202728\pi\)
−0.999980 + 0.00636886i \(0.997973\pi\)
\(312\) 1.46408 + 4.99030i 0.0828874 + 0.282520i
\(313\) −12.0383 12.0383i −0.680447 0.680447i 0.279654 0.960101i \(-0.409780\pi\)
−0.960101 + 0.279654i \(0.909780\pi\)
\(314\) −1.11774 8.69022i −0.0630775 0.490417i
\(315\) 18.6058 + 6.27123i 1.04832 + 0.353344i
\(316\) −14.1483 + 3.70073i −0.795905 + 0.208183i
\(317\) 20.2257 20.2257i 1.13599 1.13599i 0.146829 0.989162i \(-0.453093\pi\)
0.989162 0.146829i \(-0.0469068\pi\)
\(318\) 0.589252 + 19.9400i 0.0330436 + 1.11818i
\(319\) 2.60618i 0.145918i
\(320\) 2.60674 17.6976i 0.145721 0.989326i
\(321\) 18.9984 15.5852i 1.06039 0.869882i
\(322\) 9.10715 11.7957i 0.507522 0.657347i
\(323\) 18.9196 + 18.9196i 1.05271 + 1.05271i
\(324\) −2.47015 + 17.8297i −0.137230 + 0.990539i
\(325\) 2.67735 + 4.58316i 0.148513 + 0.254228i
\(326\) −0.934042 + 0.120136i −0.0517318 + 0.00665374i
\(327\) 21.7956 + 2.15109i 1.20530 + 0.118955i
\(328\) −11.0474 4.69221i −0.609991 0.259084i
\(329\) −13.8189 −0.761860
\(330\) −0.275706 + 2.78127i −0.0151771 + 0.153104i
\(331\) 12.3308i 0.677760i 0.940830 + 0.338880i \(0.110048\pi\)
−0.940830 + 0.338880i \(0.889952\pi\)
\(332\) 6.82959 11.6679i 0.374822 0.640361i
\(333\) −15.9305 23.8624i −0.872988 1.30765i
\(334\) −0.126384 0.982613i −0.00691540 0.0537662i
\(335\) −3.23169 + 25.0404i −0.176566 + 1.36810i
\(336\) 7.37262 18.8904i 0.402209 1.03056i
\(337\) 10.6723 10.6723i 0.581359 0.581359i −0.353918 0.935277i \(-0.615151\pi\)
0.935277 + 0.353918i \(0.115151\pi\)
\(338\) 10.2614 13.2907i 0.558147 0.722918i
\(339\) 3.57799 2.93518i 0.194330 0.159417i
\(340\) −19.7417 + 2.53051i −1.07064 + 0.137236i
\(341\) −2.33029 −0.126192
\(342\) −16.7528 19.2337i −0.905886 1.04004i
\(343\) 11.2449 + 11.2449i 0.607166 + 0.607166i
\(344\) 8.92534 + 22.1050i 0.481222 + 1.19182i
\(345\) 13.5868 + 3.13435i 0.731488 + 0.168748i
\(346\) 0.593640 + 4.61546i 0.0319143 + 0.248129i
\(347\) 8.00457 8.00457i 0.429708 0.429708i −0.458821 0.888529i \(-0.651728\pi\)
0.888529 + 0.458821i \(0.151728\pi\)
\(348\) −17.4736 + 2.77437i −0.936685 + 0.148722i
\(349\) 13.9579 0.747152 0.373576 0.927600i \(-0.378132\pi\)
0.373576 + 0.927600i \(0.378132\pi\)
\(350\) 2.65794 20.5249i 0.142073 1.09710i
\(351\) −4.86633 + 2.59735i −0.259746 + 0.138636i
\(352\) 2.85593 + 0.419399i 0.152221 + 0.0223541i
\(353\) 11.8744 11.8744i 0.632008 0.632008i −0.316563 0.948571i \(-0.602529\pi\)
0.948571 + 0.316563i \(0.102529\pi\)
\(354\) 1.95760 2.07682i 0.104045 0.110382i
\(355\) 9.01457 6.95372i 0.478444 0.369065i
\(356\) −6.39876 24.4632i −0.339134 1.29655i
\(357\) −22.4528 2.21595i −1.18833 0.117281i
\(358\) 12.0254 15.5755i 0.635564 0.823189i
\(359\) 33.8765 1.78793 0.893967 0.448133i \(-0.147911\pi\)
0.893967 + 0.448133i \(0.147911\pi\)
\(360\) 18.9410 1.11223i 0.998280 0.0586196i
\(361\) 17.1439 0.902313
\(362\) 5.02112 6.50340i 0.263904 0.341811i
\(363\) 18.5116 + 1.82698i 0.971608 + 0.0958915i
\(364\) 6.01198 1.57254i 0.315114 0.0824233i
\(365\) 1.29789 10.0566i 0.0679347 0.526385i
\(366\) 8.28186 8.78625i 0.432900 0.459265i
\(367\) 10.7900 10.7900i 0.563233 0.563233i −0.366992 0.930224i \(-0.619612\pi\)
0.930224 + 0.366992i \(0.119612\pi\)
\(368\) 3.89289 13.8648i 0.202931 0.722752i
\(369\) 2.48863 12.4851i 0.129553 0.649946i
\(370\) −21.3946 + 21.3761i −1.11225 + 1.11129i
\(371\) 23.8368 1.23754
\(372\) 2.48067 + 15.6239i 0.128617 + 0.810060i
\(373\) −25.8380 + 25.8380i −1.33784 + 1.33784i −0.439697 + 0.898146i \(0.644914\pi\)
−0.898146 + 0.439697i \(0.855086\pi\)
\(374\) −0.409708 3.18541i −0.0211855 0.164714i
\(375\) 18.4887 5.75924i 0.954751 0.297406i
\(376\) −12.3827 + 4.99977i −0.638588 + 0.257843i
\(377\) −3.83385 3.83385i −0.197453 0.197453i
\(378\) 21.2082 + 3.57960i 1.09083 + 0.184115i
\(379\) −12.2262 −0.628019 −0.314010 0.949420i \(-0.601672\pi\)
−0.314010 + 0.949420i \(0.601672\pi\)
\(380\) −16.4401 + 21.2744i −0.843361 + 1.09135i
\(381\) −1.82564 + 1.49766i −0.0935306 + 0.0767272i
\(382\) −11.9662 + 15.4987i −0.612242 + 0.792982i
\(383\) 21.6256 21.6256i 1.10501 1.10501i 0.111219 0.993796i \(-0.464525\pi\)
0.993796 0.111219i \(-0.0354754\pi\)
\(384\) −0.228292 19.5946i −0.0116500 0.999932i
\(385\) 3.31215 + 0.427464i 0.168803 + 0.0217856i
\(386\) −1.16663 9.07035i −0.0593798 0.461669i
\(387\) −21.0293 + 14.0391i −1.06898 + 0.713649i
\(388\) 26.5555 + 15.5437i 1.34815 + 0.789112i
\(389\) 6.63941i 0.336632i −0.985733 0.168316i \(-0.946167\pi\)
0.985733 0.168316i \(-0.0538328\pi\)
\(390\) 3.68583 + 4.49699i 0.186639 + 0.227714i
\(391\) −16.0228 −0.810309
\(392\) −4.07870 1.73236i −0.206006 0.0874975i
\(393\) −13.0867 1.29158i −0.660138 0.0651514i
\(394\) 7.65210 0.984213i 0.385507 0.0495839i
\(395\) −12.9463 + 9.98658i −0.651398 + 0.502480i
\(396\) 0.180794 + 3.05631i 0.00908522 + 0.153586i
\(397\) 14.0596 + 14.0596i 0.705629 + 0.705629i 0.965613 0.259984i \(-0.0837172\pi\)
−0.259984 + 0.965613i \(0.583717\pi\)
\(398\) −5.11498 + 6.62498i −0.256391 + 0.332080i
\(399\) −23.5636 + 19.3303i −1.17966 + 0.967725i
\(400\) −5.04435 19.3534i −0.252218 0.967671i
\(401\) 18.1176i 0.904751i 0.891827 + 0.452376i \(0.149423\pi\)
−0.891827 + 0.452376i \(0.850577\pi\)
\(402\) 0.816968 + 27.6458i 0.0407466 + 1.37885i
\(403\) −3.42800 + 3.42800i −0.170761 + 0.170761i
\(404\) −3.24416 12.4028i −0.161403 0.617062i
\(405\) 5.24263 + 19.4297i 0.260508 + 0.965472i
\(406\) 2.69691 + 20.9681i 0.133845 + 1.04063i
\(407\) −3.45081 3.45081i −0.171050 0.171050i
\(408\) −20.9211 + 6.13795i −1.03575 + 0.303874i
\(409\) 26.3245i 1.30166i −0.759223 0.650831i \(-0.774421\pi\)
0.759223 0.650831i \(-0.225579\pi\)
\(410\) −13.4193 0.00579713i −0.662732 0.000286300i
\(411\) 1.10853 + 1.35130i 0.0546798 + 0.0666548i
\(412\) 2.66197 4.54782i 0.131146 0.224055i
\(413\) −2.41142 2.41142i −0.118658 0.118658i
\(414\) 15.2383 + 1.05055i 0.748923 + 0.0516317i
\(415\) 1.93475 14.9912i 0.0949732 0.735890i
\(416\) 4.81820 3.58428i 0.236232 0.175734i
\(417\) −15.5382 1.53352i −0.760909 0.0750969i
\(418\) −3.43406 2.65135i −0.167965 0.129682i
\(419\) 12.7809i 0.624385i −0.950019 0.312193i \(-0.898937\pi\)
0.950019 0.312193i \(-0.101063\pi\)
\(420\) −0.659892 22.6620i −0.0321994 1.10579i
\(421\) 26.3792i 1.28564i −0.766017 0.642821i \(-0.777764\pi\)
0.766017 0.642821i \(-0.222236\pi\)
\(422\) −6.00983 + 7.78398i −0.292554 + 0.378918i
\(423\) −7.86440 11.7801i −0.382380 0.572769i
\(424\) 21.3594 8.62431i 1.03730 0.418833i
\(425\) −19.2142 + 11.2244i −0.932026 + 0.544462i
\(426\) 8.55439 9.07537i 0.414462 0.439703i
\(427\) −10.2018 10.2018i −0.493700 0.493700i
\(428\) −24.4881 14.3336i −1.18368 0.692841i
\(429\) −0.725393 + 0.595072i −0.0350223 + 0.0287303i
\(430\) 18.8381 + 18.8544i 0.908456 + 0.909241i
\(431\) 28.6818i 1.38155i 0.723068 + 0.690777i \(0.242731\pi\)
−0.723068 + 0.690777i \(0.757269\pi\)
\(432\) 20.2992 4.46572i 0.976646 0.214857i
\(433\) −2.25457 2.25457i −0.108347 0.108347i 0.650855 0.759202i \(-0.274411\pi\)
−0.759202 + 0.650855i \(0.774411\pi\)
\(434\) 18.7484 2.41142i 0.899951 0.115752i
\(435\) −16.7733 + 10.4851i −0.804220 + 0.502720i
\(436\) −6.39964 24.4665i −0.306487 1.17173i
\(437\) −15.3050 + 15.3050i −0.732137 + 0.732137i
\(438\) −0.328105 11.1029i −0.0156775 0.530519i
\(439\) 11.8510i 0.565620i 0.959176 + 0.282810i \(0.0912665\pi\)
−0.959176 + 0.282810i \(0.908733\pi\)
\(440\) 3.12258 0.815323i 0.148863 0.0388690i
\(441\) 0.918802 4.60948i 0.0437525 0.219499i
\(442\) −5.28864 4.08323i −0.251555 0.194219i
\(443\) −1.66807 1.66807i −0.0792526 0.0792526i 0.666369 0.745622i \(-0.267847\pi\)
−0.745622 + 0.666369i \(0.767847\pi\)
\(444\) −19.4631 + 26.8101i −0.923679 + 1.27235i
\(445\) −17.2673 22.3848i −0.818550 1.06114i
\(446\) 4.26636 + 33.1703i 0.202018 + 1.57066i
\(447\) −2.23827 + 22.6789i −0.105866 + 1.07268i
\(448\) −23.4114 0.418930i −1.10609 0.0197926i
\(449\) −34.3414 −1.62067 −0.810336 0.585966i \(-0.800715\pi\)
−0.810336 + 0.585966i \(0.800715\pi\)
\(450\) 19.0094 9.41502i 0.896112 0.443828i
\(451\) 2.16539i 0.101964i
\(452\) −4.61186 2.69946i −0.216924 0.126972i
\(453\) −4.75703 0.469488i −0.223505 0.0220585i
\(454\) −24.7588 + 3.18447i −1.16199 + 0.149455i
\(455\) 5.50120 4.24355i 0.257900 0.198941i
\(456\) −14.1208 + 25.8468i −0.661269 + 1.21039i
\(457\) −4.61474 + 4.61474i −0.215869 + 0.215869i −0.806755 0.590886i \(-0.798778\pi\)
0.590886 + 0.806755i \(0.298778\pi\)
\(458\) 1.22773 + 0.947900i 0.0573680 + 0.0442925i
\(459\) −10.8890 20.4014i −0.508255 0.952254i
\(460\) −2.04706 15.9701i −0.0954445 0.744608i
\(461\) 20.6452 0.961543 0.480772 0.876846i \(-0.340357\pi\)
0.480772 + 0.876846i \(0.340357\pi\)
\(462\) 3.65678 0.108062i 0.170129 0.00502751i
\(463\) 27.1817 + 27.1817i 1.26324 + 1.26324i 0.949512 + 0.313730i \(0.101579\pi\)
0.313730 + 0.949512i \(0.398421\pi\)
\(464\) 10.0030 + 17.8131i 0.464378 + 0.826952i
\(465\) 9.37511 + 14.9977i 0.434760 + 0.695502i
\(466\) −13.8476 + 1.78107i −0.641476 + 0.0825067i
\(467\) 6.39901 6.39901i 0.296111 0.296111i −0.543378 0.839488i \(-0.682855\pi\)
0.839488 + 0.543378i \(0.182855\pi\)
\(468\) 4.76198 + 4.23007i 0.220123 + 0.195535i
\(469\) 33.0484 1.52603
\(470\) −10.5618 + 10.5527i −0.487180 + 0.486759i
\(471\) −6.80600 8.29652i −0.313604 0.382283i
\(472\) −3.03326 1.28833i −0.139617 0.0593002i
\(473\) −3.04110 + 3.04110i −0.139830 + 0.139830i
\(474\) −12.2854 + 13.0336i −0.564287 + 0.598653i
\(475\) −7.63189 + 29.0750i −0.350175 + 1.33405i
\(476\) 6.59262 + 25.2043i 0.302172 + 1.15524i
\(477\) 13.5656 + 20.3200i 0.621127 + 0.930389i
\(478\) 13.7921 + 10.6485i 0.630834 + 0.487052i
\(479\) 35.9113 1.64083 0.820414 0.571770i \(-0.193743\pi\)
0.820414 + 0.571770i \(0.193743\pi\)
\(480\) −8.79059 20.0680i −0.401234 0.915976i
\(481\) −10.1527 −0.462923
\(482\) 7.87870 + 6.08295i 0.358865 + 0.277071i
\(483\) 1.79260 18.1632i 0.0815660 0.826456i
\(484\) −5.43540 20.7801i −0.247064 0.944552i
\(485\) 34.1190 + 4.40337i 1.54927 + 0.199947i
\(486\) 9.01824 + 20.1164i 0.409076 + 0.912501i
\(487\) −23.9090 + 23.9090i −1.08342 + 1.08342i −0.0872343 + 0.996188i \(0.527803\pi\)
−0.996188 + 0.0872343i \(0.972197\pi\)
\(488\) −12.8326 5.45044i −0.580905 0.246730i
\(489\) −0.891726 + 0.731522i −0.0403252 + 0.0330806i
\(490\) −4.95440 0.00214030i −0.223817 9.66888e-5i
\(491\) −30.9507 −1.39678 −0.698392 0.715715i \(-0.746101\pi\)
−0.698392 + 0.715715i \(0.746101\pi\)
\(492\) −14.5182 + 2.30513i −0.654533 + 0.103923i
\(493\) 16.0728 16.0728i 0.723884 0.723884i
\(494\) −8.95201 + 1.15141i −0.402770 + 0.0518043i
\(495\) 1.52057 + 3.06677i 0.0683444 + 0.137841i
\(496\) 15.9274 8.94409i 0.715161 0.401602i
\(497\) −10.5375 10.5375i −0.472672 0.472672i
\(498\) −0.489103 16.5510i −0.0219172 0.741669i
\(499\) 19.9194 0.891716 0.445858 0.895104i \(-0.352899\pi\)
0.445858 + 0.895104i \(0.352899\pi\)
\(500\) −13.6422 17.7169i −0.610098 0.792326i
\(501\) −0.769562 0.938097i −0.0343815 0.0419111i
\(502\) 11.1074 + 8.57573i 0.495746 + 0.382754i
\(503\) −14.6687 + 14.6687i −0.654047 + 0.654047i −0.953965 0.299918i \(-0.903041\pi\)
0.299918 + 0.953965i \(0.403041\pi\)
\(504\) −4.61729 24.4025i −0.205671 1.08698i
\(505\) −8.75450 11.3490i −0.389570 0.505026i
\(506\) 2.57684 0.331433i 0.114555 0.0147340i
\(507\) 2.01979 20.4653i 0.0897022 0.908896i
\(508\) 2.35317 + 1.37738i 0.104405 + 0.0611114i
\(509\) 4.85493i 0.215191i 0.994195 + 0.107595i \(0.0343151\pi\)
−0.994195 + 0.107595i \(0.965685\pi\)
\(510\) −18.8530 + 15.4523i −0.834823 + 0.684239i
\(511\) −13.2727 −0.587149
\(512\) −21.1298 + 8.09503i −0.933816 + 0.357753i
\(513\) −29.8886 9.08621i −1.31961 0.401166i
\(514\) −3.70778 28.8274i −0.163543 1.27152i
\(515\) 0.754110 5.84314i 0.0332301 0.257479i
\(516\) 23.6270 + 17.1523i 1.04012 + 0.755088i
\(517\) −1.70355 1.70355i −0.0749222 0.0749222i
\(518\) 31.3345 + 24.1926i 1.37676 + 1.06296i
\(519\) 3.61473 + 4.40636i 0.158669 + 0.193418i
\(520\) 3.39412 5.79290i 0.148842 0.254035i
\(521\) 15.0499i 0.659346i −0.944095 0.329673i \(-0.893061\pi\)
0.944095 0.329673i \(-0.106939\pi\)
\(522\) −16.3397 + 14.2321i −0.715170 + 0.622920i
\(523\) 15.6997 15.6997i 0.686499 0.686499i −0.274957 0.961456i \(-0.588664\pi\)
0.961456 + 0.274957i \(0.0886637\pi\)
\(524\) 3.84254 + 14.6904i 0.167862 + 0.641755i
\(525\) −10.5742 23.0367i −0.461494 1.00541i
\(526\) 21.5493 2.77167i 0.939596 0.120851i
\(527\) −14.3714 14.3714i −0.626026 0.626026i
\(528\) 3.23763 1.41988i 0.140900 0.0617923i
\(529\) 10.0383i 0.436449i
\(530\) 18.2185 18.2028i 0.791361 0.790677i
\(531\) 0.683298 3.42800i 0.0296526 0.148762i
\(532\) 30.3725 + 17.7779i 1.31681 + 0.770770i
\(533\) −3.18541 3.18541i −0.137976 0.137976i
\(534\) −22.5358 21.2421i −0.975218 0.919235i
\(535\) −31.4628 4.06056i −1.36026 0.175553i
\(536\) 29.6137 11.9572i 1.27912 0.516470i
\(537\) 2.36701 23.9835i 0.102144 1.03496i
\(538\) 27.9399 36.1880i 1.20457 1.56017i
\(539\) 0.799460i 0.0344352i
\(540\) 18.9430 13.4596i 0.815179 0.579210i
\(541\) 1.45079i 0.0623742i 0.999514 + 0.0311871i \(0.00992877\pi\)
−0.999514 + 0.0311871i \(0.990071\pi\)
\(542\) −0.342914 0.264756i −0.0147294 0.0113722i
\(543\) 0.988326 10.0141i 0.0424131 0.429745i
\(544\) 15.0266 + 20.1996i 0.644258 + 0.866050i
\(545\) −17.2697 22.3879i −0.739752 0.958990i
\(546\) 5.22038 5.53831i 0.223412 0.237018i
\(547\) −1.86763 1.86763i −0.0798541 0.0798541i 0.666052 0.745906i \(-0.267983\pi\)
−0.745906 + 0.666052i \(0.767983\pi\)
\(548\) 1.01951 1.74177i 0.0435512 0.0744045i
\(549\) 2.89078 14.5026i 0.123375 0.618955i
\(550\) 2.85792 2.20259i 0.121862 0.0939188i
\(551\) 30.7055i 1.30810i
\(552\) −4.96530 16.9241i −0.211337 0.720339i
\(553\) 15.1334 + 15.1334i 0.643539 + 0.643539i
\(554\) −1.78060 13.8439i −0.0756505 0.588171i
\(555\) −8.32622 + 36.0925i −0.353428 + 1.53204i
\(556\) 4.56234 + 17.4423i 0.193486 + 0.739720i
\(557\) −22.6188 + 22.6188i −0.958389 + 0.958389i −0.999168 0.0407789i \(-0.987016\pi\)
0.0407789 + 0.999168i \(0.487016\pi\)
\(558\) 12.7254 + 14.6100i 0.538711 + 0.618490i
\(559\) 8.94729i 0.378430i
\(560\) −24.2791 + 9.79099i −1.02598 + 0.413745i
\(561\) −2.49475 3.04110i −0.105328 0.128395i
\(562\) 13.3611 17.3054i 0.563604 0.729985i
\(563\) 26.6638 + 26.6638i 1.12375 + 1.12375i 0.991173 + 0.132574i \(0.0423241\pi\)
0.132574 + 0.991173i \(0.457676\pi\)
\(564\) −9.60832 + 13.2353i −0.404583 + 0.557307i
\(565\) −5.92543 0.764730i −0.249285 0.0321724i
\(566\) −17.5843 + 2.26169i −0.739123 + 0.0950660i
\(567\) 24.3450 10.0612i 1.02239 0.422530i
\(568\) −13.2549 5.62980i −0.556163 0.236221i
\(569\) 29.3180 1.22907 0.614537 0.788888i \(-0.289343\pi\)
0.614537 + 0.788888i \(0.289343\pi\)
\(570\) −3.24832 + 32.7684i −0.136057 + 1.37252i
\(571\) 28.4036i 1.18865i −0.804224 0.594326i \(-0.797419\pi\)
0.804224 0.594326i \(-0.202581\pi\)
\(572\) 0.934999 + 0.547283i 0.0390943 + 0.0228831i
\(573\) −2.35535 + 23.8652i −0.0983960 + 0.996985i
\(574\) 2.24077 + 17.4216i 0.0935280 + 0.727165i
\(575\) −9.07997 15.5434i −0.378661 0.648203i
\(576\) −12.9664 20.1958i −0.540268 0.841493i
\(577\) −18.9787 + 18.9787i −0.790092 + 0.790092i −0.981509 0.191417i \(-0.938692\pi\)
0.191417 + 0.981509i \(0.438692\pi\)
\(578\) 2.42590 3.14204i 0.100904 0.130692i
\(579\) −7.10371 8.65943i −0.295220 0.359874i
\(580\) 18.0734 + 13.9665i 0.750455 + 0.579926i
\(581\) −19.7855 −0.820839
\(582\) 37.6691 1.11317i 1.56143 0.0461423i
\(583\) 2.93853 + 2.93853i 0.121702 + 0.121702i
\(584\) −11.8933 + 4.80216i −0.492147 + 0.198715i
\(585\) 6.74825 + 2.27456i 0.279006 + 0.0940413i
\(586\) 0.381782 + 2.96830i 0.0157713 + 0.122619i
\(587\) −11.2326 + 11.2326i −0.463619 + 0.463619i −0.899840 0.436220i \(-0.856317\pi\)
0.436220 + 0.899840i \(0.356317\pi\)
\(588\) −5.36013 + 0.851053i −0.221048 + 0.0350968i
\(589\) −27.4550 −1.13127
\(590\) −3.68451 0.00159170i −0.151689 6.55295e-5i
\(591\) 7.30543 5.99297i 0.300505 0.246518i
\(592\) 36.8310 + 10.3412i 1.51374 + 0.425022i
\(593\) −0.161070 + 0.161070i −0.00661435 + 0.00661435i −0.710406 0.703792i \(-0.751489\pi\)
0.703792 + 0.710406i \(0.251489\pi\)
\(594\) 2.17321 + 3.05578i 0.0891679 + 0.125380i
\(595\) 17.7905 + 23.0630i 0.729338 + 0.945489i
\(596\) 25.4581 6.65901i 1.04281 0.272764i
\(597\) −1.00680 + 10.2013i −0.0412057 + 0.417511i
\(598\) 3.30313 4.27825i 0.135075 0.174951i
\(599\) −15.6557 −0.639673 −0.319837 0.947473i \(-0.603628\pi\)
−0.319837 + 0.947473i \(0.603628\pi\)
\(600\) −17.8100 16.8167i −0.727092 0.686540i
\(601\) 29.1506 1.18908 0.594540 0.804066i \(-0.297334\pi\)
0.594540 + 0.804066i \(0.297334\pi\)
\(602\) 21.3203 27.6142i 0.868949 1.12547i
\(603\) 18.8080 + 28.1726i 0.765922 + 1.14728i
\(604\) 1.39676 + 5.33998i 0.0568335 + 0.217281i
\(605\) −14.6676 19.0147i −0.596325 0.773056i
\(606\) −11.4256 10.7697i −0.464133 0.437489i
\(607\) 18.7872 18.7872i 0.762550 0.762550i −0.214232 0.976783i \(-0.568725\pi\)
0.976783 + 0.214232i \(0.0687250\pi\)
\(608\) 33.6480 + 4.94129i 1.36461 + 0.200396i
\(609\) 16.4217 + 20.0181i 0.665443 + 0.811176i
\(610\) −15.5878 0.00673391i −0.631131 0.000272648i
\(611\) −5.01206 −0.202766
\(612\) −17.7339 + 19.9639i −0.716851 + 0.806992i
\(613\) −29.5115 + 29.5115i −1.19196 + 1.19196i −0.215443 + 0.976516i \(0.569120\pi\)
−0.976516 + 0.215443i \(0.930880\pi\)
\(614\) 3.18791 + 24.7855i 0.128654 + 1.00026i
\(615\) −13.9364 + 8.71168i −0.561969 + 0.351289i
\(616\) −1.58160 3.91708i −0.0637245 0.157823i
\(617\) 29.7517 + 29.7517i 1.19776 + 1.19776i 0.974836 + 0.222923i \(0.0715598\pi\)
0.222923 + 0.974836i \(0.428440\pi\)
\(618\) −0.190638 6.45111i −0.00766859 0.259502i
\(619\) −12.4498 −0.500402 −0.250201 0.968194i \(-0.580497\pi\)
−0.250201 + 0.968194i \(0.580497\pi\)
\(620\) 12.4880 16.1601i 0.501529 0.649006i
\(621\) 16.5037 8.80867i 0.662271 0.353480i
\(622\) 0.194141 0.251453i 0.00778433 0.0100823i
\(623\) −26.1665 + 26.1665i −1.04834 + 1.04834i
\(624\) 2.67403 6.85148i 0.107047 0.274279i
\(625\) −21.7770 12.2785i −0.871080 0.491140i
\(626\) 3.07144 + 23.8799i 0.122759 + 0.954434i
\(627\) −5.28785 0.521877i −0.211176 0.0208417i
\(628\) −6.25942 + 10.6938i −0.249778 + 0.426730i
\(629\) 42.5637i 1.69712i
\(630\) −15.4073 23.1002i −0.613841 0.920335i
\(631\) 43.7481 1.74158 0.870791 0.491653i \(-0.163607\pi\)
0.870791 + 0.491653i \(0.163607\pi\)
\(632\) 19.0360 + 8.08524i 0.757212 + 0.321614i
\(633\) −1.18294 + 11.9860i −0.0470176 + 0.476399i
\(634\) −40.1210 + 5.16036i −1.59341 + 0.204944i
\(635\) 3.02341 + 0.390198i 0.119980 + 0.0154845i
\(636\) 16.5738 22.8301i 0.657193 0.905273i
\(637\) −1.17605 1.17605i −0.0465969 0.0465969i
\(638\) −2.25242 + 2.91735i −0.0891741 + 0.115499i
\(639\) 2.98590 14.9798i 0.118121 0.592592i
\(640\) −18.2133 + 17.5578i −0.719945 + 0.694032i
\(641\) 13.3935i 0.529013i −0.964384 0.264506i \(-0.914791\pi\)
0.964384 0.264506i \(-0.0852090\pi\)
\(642\) −34.7365 + 1.02651i −1.37094 + 0.0405129i
\(643\) 12.4335 12.4335i 0.490331 0.490331i −0.418080 0.908410i \(-0.637297\pi\)
0.908410 + 0.418080i \(0.137297\pi\)
\(644\) −20.3891 + 5.33311i −0.803442 + 0.210154i
\(645\) 31.8073 + 7.33766i 1.25241 + 0.288920i
\(646\) −4.82710 37.5300i −0.189920 1.47660i
\(647\) −0.352589 0.352589i −0.0138617 0.0138617i 0.700142 0.714004i \(-0.253120\pi\)
−0.714004 + 0.700142i \(0.753120\pi\)
\(648\) 18.1746 17.8237i 0.713965 0.700181i
\(649\) 0.594545i 0.0233380i
\(650\) 0.964026 7.44431i 0.0378122 0.291990i
\(651\) 17.8990 14.6833i 0.701517 0.575485i
\(652\) 1.14939 + 0.672775i 0.0450138 + 0.0263479i
\(653\) −10.5497 10.5497i −0.412841 0.412841i 0.469886 0.882727i \(-0.344295\pi\)
−0.882727 + 0.469886i \(0.844295\pi\)
\(654\) −22.5389 21.2450i −0.881339 0.830745i
\(655\) 10.3692 + 13.4423i 0.405160 + 0.525236i
\(656\) 8.31116 + 14.8003i 0.324496 + 0.577854i
\(657\) −7.55356 11.3145i −0.294692 0.441421i
\(658\) 15.4688 + 11.9431i 0.603038 + 0.465591i
\(659\) 30.8600i 1.20213i −0.799199 0.601067i \(-0.794742\pi\)
0.799199 0.601067i \(-0.205258\pi\)
\(660\) 2.71236 2.87506i 0.105579 0.111912i
\(661\) 44.1992i 1.71915i −0.511009 0.859575i \(-0.670728\pi\)
0.511009 0.859575i \(-0.329272\pi\)
\(662\) 10.6570 13.8030i 0.414196 0.536470i
\(663\) −8.14357 0.803718i −0.316270 0.0312138i
\(664\) −17.7292 + 7.15852i −0.688025 + 0.277804i
\(665\) 39.0232 + 5.03630i 1.51326 + 0.195299i
\(666\) −2.79072 + 40.4797i −0.108138 + 1.56856i
\(667\) 13.0021 + 13.0021i 0.503444 + 0.503444i
\(668\) −0.707760 + 1.20916i −0.0273841 + 0.0467840i
\(669\) 25.9783 + 31.6675i 1.00438 + 1.22434i
\(670\) 25.2590 25.2372i 0.975840 0.974997i
\(671\) 2.51530i 0.0971021i
\(672\) −24.5791 + 14.7740i −0.948160 + 0.569920i
\(673\) 13.1276 + 13.1276i 0.506033 + 0.506033i 0.913306 0.407274i \(-0.133520\pi\)
−0.407274 + 0.913306i \(0.633520\pi\)
\(674\) −21.1703 + 2.72292i −0.815448 + 0.104883i
\(675\) 13.6202 22.1244i 0.524242 0.851570i
\(676\) −22.9732 + 6.00904i −0.883586 + 0.231117i
\(677\) −23.1658 + 23.1658i −0.890334 + 0.890334i −0.994554 0.104220i \(-0.966765\pi\)
0.104220 + 0.994554i \(0.466765\pi\)
\(678\) −6.54196 + 0.193323i −0.251242 + 0.00742452i
\(679\) 45.0304i 1.72811i
\(680\) 24.2858 + 14.2293i 0.931320 + 0.545670i
\(681\) −23.6371 + 19.3905i −0.905775 + 0.743047i
\(682\) 2.60852 + 2.01398i 0.0998855 + 0.0771192i
\(683\) −14.8655 14.8655i −0.568814 0.568814i 0.362982 0.931796i \(-0.381759\pi\)
−0.931796 + 0.362982i \(0.881759\pi\)
\(684\) 2.13008 + 36.0090i 0.0814455 + 1.37684i
\(685\) 0.288816 2.23786i 0.0110351 0.0855042i
\(686\) −2.86899 22.3060i −0.109539 0.851647i
\(687\) 1.89049 + 0.186579i 0.0721266 + 0.00711843i
\(688\) 9.11344 32.4581i 0.347447 1.23745i
\(689\) 8.64552 0.329368
\(690\) −12.5001 15.2511i −0.475872 0.580600i
\(691\) 47.2699i 1.79823i 0.437710 + 0.899116i \(0.355790\pi\)
−0.437710 + 0.899116i \(0.644210\pi\)
\(692\) 3.32444 5.67960i 0.126376 0.215906i
\(693\) 3.72646 2.48778i 0.141557 0.0945031i
\(694\) −15.8783 + 2.04227i −0.602733 + 0.0775235i
\(695\) 12.3117 + 15.9604i 0.467008 + 0.605414i
\(696\) 21.9577 + 11.9961i 0.832306 + 0.454713i
\(697\) 13.3544 13.3544i 0.505833 0.505833i
\(698\) −15.6245 12.0633i −0.591396 0.456603i
\(699\) −13.2202 + 10.8451i −0.500035 + 0.410201i
\(700\) −20.7142 + 20.6784i −0.782921 + 0.781570i
\(701\) −7.65973 −0.289304 −0.144652 0.989483i \(-0.546206\pi\)
−0.144652 + 0.989483i \(0.546206\pi\)
\(702\) 7.69216 + 1.29831i 0.290322 + 0.0490015i
\(703\) −40.6568 40.6568i −1.53340 1.53340i
\(704\) −2.83445 2.93774i −0.106827 0.110720i
\(705\) −4.11039 + 17.8177i −0.154806 + 0.671054i
\(706\) −23.5547 + 3.02960i −0.886492 + 0.114021i
\(707\) −13.2664 + 13.2664i −0.498933 + 0.498933i
\(708\) −3.98625 + 0.632915i −0.149812 + 0.0237864i
\(709\) 43.9829 1.65181 0.825906 0.563808i \(-0.190664\pi\)
0.825906 + 0.563808i \(0.190664\pi\)
\(710\) −16.1007 0.00695550i −0.604250 0.000261035i
\(711\) −4.28821 + 21.5132i −0.160820 + 0.806810i
\(712\) −13.9798 + 32.9143i −0.523915 + 1.23351i
\(713\) 11.6257 11.6257i 0.435387 0.435387i
\(714\) 23.2185 + 21.8856i 0.868931 + 0.819050i
\(715\) 1.20131 + 0.155040i 0.0449264 + 0.00579816i
\(716\) −26.9225 + 7.04204i −1.00614 + 0.263174i
\(717\) 21.2373 + 2.09599i 0.793123 + 0.0782762i
\(718\) −37.9213 29.2781i −1.41521 1.09265i
\(719\) −14.6227 −0.545333 −0.272666 0.962109i \(-0.587906\pi\)
−0.272666 + 0.962109i \(0.587906\pi\)
\(720\) −22.1638 15.1250i −0.825997 0.563674i
\(721\) −7.71179 −0.287202
\(722\) −19.1909 14.8168i −0.714212 0.551425i
\(723\) 12.1318 + 1.19733i 0.451186 + 0.0445292i
\(724\) −11.2413 + 2.94034i −0.417778 + 0.109277i
\(725\) 24.7002 + 6.48356i 0.917342 + 0.240793i
\(726\) −19.1429 18.0440i −0.710460 0.669675i
\(727\) −22.1109 + 22.1109i −0.820048 + 0.820048i −0.986115 0.166067i \(-0.946893\pi\)
0.166067 + 0.986115i \(0.446893\pi\)
\(728\) −8.08889 3.43563i −0.299794 0.127333i
\(729\) 22.4316 + 15.0274i 0.830802 + 0.556569i
\(730\) −10.1444 + 10.1356i −0.375459 + 0.375135i
\(731\) −37.5102 −1.38736
\(732\) −16.8643 + 2.67763i −0.623323 + 0.0989679i
\(733\) −8.64610 + 8.64610i −0.319351 + 0.319351i −0.848518 0.529167i \(-0.822505\pi\)
0.529167 + 0.848518i \(0.322505\pi\)
\(734\) −21.4037 + 2.75294i −0.790023 + 0.101613i
\(735\) −5.14531 + 3.21635i −0.189788 + 0.118637i
\(736\) −16.3405 + 12.1557i −0.602318 + 0.448067i
\(737\) 4.07412 + 4.07412i 0.150072 + 0.150072i
\(738\) −13.5761 + 11.8249i −0.499743 + 0.435282i
\(739\) 29.8509 1.09808 0.549041 0.835796i \(-0.314993\pi\)
0.549041 + 0.835796i \(0.314993\pi\)
\(740\) 42.4235 5.43788i 1.55952 0.199901i
\(741\) −8.54646 + 7.01103i −0.313962 + 0.257557i
\(742\) −26.6828 20.6012i −0.979558 0.756293i
\(743\) 6.78930 6.78930i 0.249075 0.249075i −0.571516 0.820591i \(-0.693644\pi\)
0.820591 + 0.571516i \(0.193644\pi\)
\(744\) 10.7262 19.6333i 0.393243 0.719791i
\(745\) 23.2952 17.9696i 0.853470 0.658355i
\(746\) 51.2539 6.59227i 1.87654 0.241360i
\(747\) −11.2600 16.8664i −0.411982 0.617110i
\(748\) −2.29440 + 3.91984i −0.0838916 + 0.143324i
\(749\) 41.5247i 1.51728i
\(750\) −25.6737 9.53215i −0.937470 0.348065i
\(751\) 22.5357 0.822339 0.411170 0.911559i \(-0.365120\pi\)
0.411170 + 0.911559i \(0.365120\pi\)
\(752\) 18.1823 + 5.10513i 0.663039 + 0.186165i
\(753\) 17.1034 + 1.68800i 0.623282 + 0.0615140i
\(754\) 0.978161 + 7.60505i 0.0356225 + 0.276959i
\(755\) 3.76922 + 4.88630i 0.137176 + 0.177831i
\(756\) −20.6468 22.3364i −0.750916 0.812368i
\(757\) −33.9790 33.9790i −1.23499 1.23499i −0.962025 0.272963i \(-0.911996\pi\)
−0.272963 0.962025i \(-0.588004\pi\)
\(758\) 13.6860 + 10.5666i 0.497099 + 0.383798i
\(759\) 2.46010 2.01813i 0.0892961 0.0732535i
\(760\) 36.7897 9.60599i 1.33450 0.348446i
\(761\) 34.4290i 1.24805i 0.781404 + 0.624025i \(0.214504\pi\)
−0.781404 + 0.624025i \(0.785496\pi\)
\(762\) 3.33799 0.0986416i 0.120923 0.00357341i
\(763\) −26.1701 + 26.1701i −0.947421 + 0.947421i
\(764\) 26.7898 7.00733i 0.969222 0.253516i
\(765\) −9.53573 + 28.2910i −0.344765 + 1.02286i
\(766\) −42.8977 + 5.51751i −1.54996 + 0.199356i
\(767\) −0.874612 0.874612i −0.0315804 0.0315804i
\(768\) −16.6793 + 22.1315i −0.601862 + 0.798600i
\(769\) 14.8941i 0.537094i 0.963267 + 0.268547i \(0.0865434\pi\)
−0.963267 + 0.268547i \(0.913457\pi\)
\(770\) −3.33818 3.34107i −0.120300 0.120404i
\(771\) −22.5770 27.5214i −0.813091 0.991159i
\(772\) −6.53323 + 11.1616i −0.235136 + 0.401715i
\(773\) 7.32969 + 7.32969i 0.263631 + 0.263631i 0.826527 0.562897i \(-