Properties

Label 120.2.w.c.53.12
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 53.12
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.864261 + 1.11940i) q^{2} +(-0.170116 - 1.72368i) q^{3} +(-0.506107 + 1.93490i) q^{4} +(1.36575 + 1.77052i) q^{5} +(1.78246 - 1.68013i) q^{6} +(2.06963 - 2.06963i) q^{7} +(-2.60334 + 1.10573i) q^{8} +(-2.94212 + 0.586449i) q^{9} +O(q^{10})\) \(q+(0.864261 + 1.11940i) q^{2} +(-0.170116 - 1.72368i) 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} +(-2.60334 + 1.10573i) q^{8} +(-2.94212 + 0.586449i) q^{9} +(-0.801547 + 3.05901i) q^{10} +0.510276 q^{11} +(3.42125 + 0.543207i) q^{12} +(-0.750647 + 0.750647i) q^{13} +(4.10544 + 0.528041i) q^{14} +(2.81946 - 2.65531i) q^{15} +(-3.48771 - 1.95854i) q^{16} +(-3.14698 - 3.14698i) q^{17} +(-3.19923 - 2.78656i) q^{18} -6.01198 q^{19} +(-4.11699 + 1.74653i) q^{20} +(-3.91945 - 3.21529i) q^{21} +(0.441012 + 0.571203i) 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} +(1.51135 + 4.97150i) q^{27} +(2.95708 + 5.05199i) q^{28} -5.10739i q^{29} +(5.40909 + 0.861223i) q^{30} -4.56672 q^{31} +(-0.821906 - 5.59683i) q^{32} +(-0.0868061 - 0.879551i) 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} +(-5.19592 - 6.72981i) q^{38} +(1.42157 + 1.16618i) q^{39} +(-5.51322 - 3.09910i) q^{40} +4.24355i q^{41} +(0.211772 - 7.16627i) q^{42} +(5.95972 - 5.95972i) q^{43} +(-0.258254 + 0.987336i) q^{44} +(-5.05652 - 4.40813i) q^{45} +(5.04990 + 0.649518i) q^{46} +(3.33849 + 3.33849i) q^{47} +(-2.78257 + 6.34486i) q^{48} -1.56672i q^{49} +(-6.51073 + 2.75869i) q^{50} +(-4.88902 + 5.95972i) q^{51} +(-1.07252 - 1.83234i) 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} +(1.02273 + 10.3627i) q^{57} +(5.71720 - 4.41411i) q^{58} -1.16514i q^{59} +(3.71082 + 6.79925i) q^{60} +4.92929i q^{61} +(-3.94684 - 5.11198i) q^{62} +(-4.87536 + 7.30283i) 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} +(7.68180 - 4.49639i) q^{68} +(-4.82112 - 3.95497i) q^{69} +(4.67210 + 7.98991i) q^{70} +5.09150i q^{71} +(7.01088 - 4.77991i) q^{72} +(-3.20654 - 3.20654i) q^{73} +(-1.72540 + 13.4148i) q^{74} +(8.55194 + 1.36541i) q^{75} +(3.04271 - 11.6326i) q^{76} +(1.05608 - 1.05608i) q^{77} +(-0.0768090 + 2.59918i) q^{78} +7.31215i q^{79} +(-1.29572 - 8.84992i) q^{80} +(8.31215 - 3.45081i) q^{81} +(-4.75023 + 3.66754i) 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} +(-8.80349 + 0.868848i) q^{87} +(-1.32842 + 0.564226i) q^{88} +12.6431 q^{89} +(0.564297 - 9.47004i) q^{90} +3.10712i q^{91} +(3.63736 + 6.21420i) q^{92} +(0.776871 + 7.87155i) 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} +(1.75378 - 1.35405i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.864261 + 1.11940i 0.611125 + 0.791534i
\(3\) −0.170116 1.72368i −0.0982164 0.995165i
\(4\) −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 \(0.0634328\pi\)
\(8\) −2.60334 + 1.10573i −0.920419 + 0.390933i
\(9\) −2.94212 + 0.586449i −0.980707 + 0.195483i
\(10\) −0.801547 + 3.05901i −0.253471 + 0.967343i
\(11\) 0.510276 0.153854 0.0769270 0.997037i \(-0.475489\pi\)
0.0769270 + 0.997037i \(0.475489\pi\)
\(12\) 3.42125 + 0.543207i 0.987629 + 0.156810i
\(13\) −0.750647 + 0.750647i −0.208192 + 0.208192i −0.803499 0.595307i \(-0.797031\pi\)
0.595307 + 0.803499i \(0.297031\pi\)
\(14\) 4.10544 + 0.528041i 1.09722 + 0.141125i
\(15\) 2.81946 2.65531i 0.727981 0.685597i
\(16\) −3.48771 1.95854i −0.871928 0.489635i
\(17\) −3.14698 3.14698i −0.763254 0.763254i 0.213656 0.976909i \(-0.431463\pi\)
−0.976909 + 0.213656i \(0.931463\pi\)
\(18\) −3.19923 2.78656i −0.754066 0.656799i
\(19\) −6.01198 −1.37924 −0.689622 0.724170i \(-0.742223\pi\)
−0.689622 + 0.724170i \(0.742223\pi\)
\(20\) −4.11699 + 1.74653i −0.920588 + 0.390536i
\(21\) −3.91945 3.21529i −0.855293 0.701634i
\(22\) 0.441012 + 0.571203i 0.0940240 + 0.121781i
\(23\) 2.54575 2.54575i 0.530825 0.530825i −0.389993 0.920818i \(-0.627522\pi\)
0.920818 + 0.389993i \(0.127522\pi\)
\(24\) 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
\(27\) 1.51135 + 4.97150i 0.290859 + 0.956766i
\(28\) 2.95708 + 5.05199i 0.558835 + 0.954736i
\(29\) 5.10739i 0.948418i −0.880412 0.474209i \(-0.842734\pi\)
0.880412 0.474209i \(-0.157266\pi\)
\(30\) 5.40909 + 0.861223i 0.987561 + 0.157237i
\(31\) −4.56672 −0.820207 −0.410104 0.912039i \(-0.634507\pi\)
−0.410104 + 0.912039i \(0.634507\pi\)
\(32\) −0.821906 5.59683i −0.145294 0.989389i
\(33\) −0.0868061 0.879551i −0.0151110 0.153110i
\(34\) 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 \(0.0379234\pi\)
0.118858 + 0.992911i \(0.462077\pi\)
\(38\) −5.19592 6.72981i −0.842890 1.09172i
\(39\) 1.42157 + 1.16618i 0.227633 + 0.186738i
\(40\) −5.51322 3.09910i −0.871716 0.490011i
\(41\) 4.24355i 0.662732i 0.943502 + 0.331366i \(0.107509\pi\)
−0.943502 + 0.331366i \(0.892491\pi\)
\(42\) 0.211772 7.16627i 0.0326771 1.10578i
\(43\) 5.95972 5.95972i 0.908848 0.908848i −0.0873310 0.996179i \(-0.527834\pi\)
0.996179 + 0.0873310i \(0.0278338\pi\)
\(44\) −0.258254 + 0.987336i −0.0389333 + 0.148846i
\(45\) −5.05652 4.40813i −0.753782 0.657125i
\(46\) 5.04990 + 0.649518i 0.744567 + 0.0957661i
\(47\) 3.33849 + 3.33849i 0.486969 + 0.486969i 0.907349 0.420379i \(-0.138103\pi\)
−0.420379 + 0.907349i \(0.638103\pi\)
\(48\) −2.78257 + 6.34486i −0.401630 + 0.915802i
\(49\) 1.56672i 0.223817i
\(50\) −6.51073 + 2.75869i −0.920756 + 0.390138i
\(51\) −4.88902 + 5.95972i −0.684599 + 0.834527i
\(52\) −1.07252 1.83234i −0.148732 0.254100i
\(53\) 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
\(57\) 1.02273 + 10.3627i 0.135464 + 1.37257i
\(58\) 5.71720 4.41411i 0.750706 0.579602i
\(59\) 1.16514i 0.151689i −0.997120 0.0758444i \(-0.975835\pi\)
0.997120 0.0758444i \(-0.0241652\pi\)
\(60\) 3.71082 + 6.79925i 0.479064 + 0.877780i
\(61\) 4.92929i 0.631131i 0.948904 + 0.315565i \(0.102194\pi\)
−0.948904 + 0.315565i \(0.897806\pi\)
\(62\) −3.94684 5.11198i −0.501249 0.649222i
\(63\) −4.87536 + 7.30283i −0.614238 + 0.920070i
\(64\) 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 0.0242864 0.999705i \(-0.492269\pi\)
−0.999705 + 0.0242864i \(0.992269\pi\)
\(68\) 7.68180 4.49639i 0.931555 0.545267i
\(69\) −4.82112 3.95497i −0.580395 0.476123i
\(70\) 4.67210 + 7.98991i 0.558423 + 0.954977i
\(71\) 5.09150i 0.604250i 0.953268 + 0.302125i \(0.0976959\pi\)
−0.953268 + 0.302125i \(0.902304\pi\)
\(72\) 7.01088 4.77991i 0.826241 0.563317i
\(73\) −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
\(75\) 8.55194 + 1.36541i 0.987493 + 0.157664i
\(76\) 3.04271 11.6326i 0.349023 1.33435i
\(77\) 1.05608 1.05608i 0.120352 0.120352i
\(78\) −0.0768090 + 2.59918i −0.00869691 + 0.294300i
\(79\) 7.31215i 0.822682i 0.911482 + 0.411341i \(0.134939\pi\)
−0.911482 + 0.411341i \(0.865061\pi\)
\(80\) −1.29572 8.84992i −0.144866 0.989451i
\(81\) 8.31215 3.45081i 0.923573 0.383423i
\(82\) −4.75023 + 3.66754i −0.524575 + 0.405012i
\(83\) −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
\(87\) −8.80349 + 0.868848i −0.943833 + 0.0931502i
\(88\) −1.32842 + 0.564226i −0.141610 + 0.0601467i
\(89\) 12.6431 1.34017 0.670083 0.742286i \(-0.266259\pi\)
0.670083 + 0.742286i \(0.266259\pi\)
\(90\) 0.564297 9.47004i 0.0594821 0.998229i
\(91\) 3.10712i 0.325715i
\(92\) 3.63736 + 6.21420i 0.379221 + 0.647875i
\(93\) 0.776871 + 7.87155i 0.0805578 + 0.816241i
\(94\) −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 \(-0.0353195\pi\)
\(98\) 1.75378 1.35405i 0.177159 0.136780i
\(99\) −1.50129 + 0.299251i −0.150886 + 0.0300759i
\(100\) −8.71504 4.90388i −0.871504 0.490388i
\(101\) −6.41002 −0.637821 −0.318911 0.947785i \(-0.603317\pi\)
−0.318911 + 0.947785i \(0.603317\pi\)
\(102\) −10.8967 0.322010i −1.07893 0.0318838i
\(103\) −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
\(105\) 0.339736 11.3307i 0.0331548 1.10577i
\(106\) −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 \(0.490534\pi\)
\(108\) −10.3843 + 0.408206i −0.999228 + 0.0392797i
\(109\) 12.6448 1.21115 0.605577 0.795786i \(-0.292942\pi\)
0.605577 + 0.795786i \(0.292942\pi\)
\(110\) −0.409011 + 1.56094i −0.0389976 + 0.148830i
\(111\) 10.5062 12.8070i 0.997200 1.21559i
\(112\) −11.2717 + 3.16482i −1.06508 + 0.299047i
\(113\) 1.88933 1.88933i 0.177733 0.177733i −0.612634 0.790367i \(-0.709890\pi\)
0.790367 + 0.612634i \(0.209890\pi\)
\(114\) −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
\(117\) 1.76828 2.64871i 0.163477 0.244874i
\(118\) 1.30426 1.00699i 0.120067 0.0927008i
\(119\) −13.0261 −1.19410
\(120\) −4.40396 + 10.0302i −0.402025 + 0.915629i
\(121\) −10.7396 −0.976329
\(122\) −5.51784 + 4.26019i −0.499562 + 0.385700i
\(123\) 7.31452 0.721896i 0.659528 0.0650912i
\(124\) 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 \(0.230734\pi\)
\(128\) 11.2453 + 1.24228i 0.993953 + 0.109803i
\(129\) −11.2865 9.25878i −0.993718 0.815190i
\(130\) −1.69456 2.89791i −0.148622 0.254164i
\(131\) 7.59234 0.663346 0.331673 0.943395i \(-0.392387\pi\)
0.331673 + 0.943395i \(0.392387\pi\)
\(132\) 1.74578 + 0.277186i 0.151951 + 0.0241259i
\(133\) −12.4426 + 12.4426i −1.07891 + 1.07891i
\(134\) 2.03706 15.8378i 0.175975 1.36818i
\(135\) −6.73799 + 9.46570i −0.579914 + 0.814678i
\(136\) 11.6723 + 4.71295i 1.00089 + 0.404132i
\(137\) 0.713542 + 0.713542i 0.0609620 + 0.0609620i 0.736931 0.675968i \(-0.236274\pi\)
−0.675968 + 0.736931i \(0.736274\pi\)
\(138\) 0.260491 8.81488i 0.0221744 0.750373i
\(139\) −9.01457 −0.764606 −0.382303 0.924037i \(-0.624869\pi\)
−0.382303 + 0.924037i \(0.624869\pi\)
\(140\) −4.90598 + 12.1353i −0.414631 + 1.02562i
\(141\) 5.18655 6.32241i 0.436787 0.532443i
\(142\) −5.69942 + 4.40038i −0.478284 + 0.369272i
\(143\) −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
\(147\) −2.70052 + 0.266524i −0.222735 + 0.0219825i
\(148\) −16.5077 + 9.66243i −1.35692 + 0.794247i
\(149\) 13.1573i 1.07789i −0.842341 0.538944i \(-0.818823\pi\)
0.842341 0.538944i \(-0.181177\pi\)
\(150\) 5.86267 + 10.7531i 0.478685 + 0.877987i
\(151\) 2.75982 0.224591 0.112295 0.993675i \(-0.464180\pi\)
0.112295 + 0.993675i \(0.464180\pi\)
\(152\) 15.6512 6.64761i 1.26948 0.539192i
\(153\) 11.1043 + 7.41324i 0.897731 + 0.599325i
\(154\) 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 0.510339 0.859973i \(-0.329520\pi\)
−0.859973 + 0.510339i \(0.829520\pi\)
\(158\) −8.18522 + 6.31961i −0.651181 + 0.502761i
\(159\) 8.94650 10.9058i 0.709504 0.864886i
\(160\) 8.78675 9.09907i 0.694653 0.719345i
\(161\) 10.5375i 0.830472i
\(162\) 11.0467 + 6.32222i 0.867911 + 0.496720i
\(163\) −0.470868 + 0.470868i −0.0368812 + 0.0368812i −0.725307 0.688426i \(-0.758302\pi\)
0.688426 + 0.725307i \(0.258302\pi\)
\(164\) −8.21087 2.14769i −0.641162 0.167707i
\(165\) 1.43870 1.35494i 0.112003 0.105482i
\(166\) 1.21955 9.48180i 0.0946553 0.735930i
\(167\) −0.495354 0.495354i −0.0383316 0.0383316i 0.687681 0.726013i \(-0.258629\pi\)
−0.726013 + 0.687681i \(0.758629\pi\)
\(168\) 13.7589 + 4.03666i 1.06152 + 0.311435i
\(169\) 11.8731i 0.913312i
\(170\) 12.1491 7.10417i 0.931791 0.544865i
\(171\) 17.6880 3.52572i 1.35263 0.269619i
\(172\) 8.51523 + 14.5477i 0.649280 + 1.10925i
\(173\) −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
\(177\) −2.00833 + 0.198209i −0.150955 + 0.0148983i
\(178\) 10.9269 + 14.1527i 0.819008 + 1.06079i
\(179\) 13.9141i 1.03999i 0.854169 + 0.519996i \(0.174066\pi\)
−0.854169 + 0.519996i \(0.825934\pi\)
\(180\) 11.0884 7.55291i 0.826484 0.562960i
\(181\) 5.80972i 0.431833i −0.976412 0.215917i \(-0.930726\pi\)
0.976412 0.215917i \(-0.0692740\pi\)
\(182\) −3.47811 + 2.68536i −0.257814 + 0.199052i
\(183\) 8.49650 0.838550i 0.628079 0.0619874i
\(184\) −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
\(188\) −8.14930 + 4.77003i −0.594349 + 0.347890i
\(189\) 13.4171 + 7.16122i 0.975950 + 0.520902i
\(190\) 4.81889 18.3907i 0.349599 1.33420i
\(191\) 13.8456i 1.00183i 0.865497 + 0.500914i \(0.167003\pi\)
−0.865497 + 0.500914i \(0.832997\pi\)
\(192\) −10.8684 8.59519i −0.784361 0.620304i
\(193\) 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
\(195\) −0.123221 + 4.10962i −0.00882405 + 0.294296i
\(196\) 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 \(0.312257\pi\)
\(198\) −1.63249 1.42192i −0.116016 0.101051i
\(199\) 5.91833i 0.419540i −0.977751 0.209770i \(-0.932729\pi\)
0.977751 0.209770i \(-0.0672714\pi\)
\(200\) −2.04268 13.9938i −0.144439 0.989514i
\(201\) −12.4039 + 15.1203i −0.874900 + 1.06650i
\(202\) −5.53993 7.17537i −0.389788 0.504858i
\(203\) −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
\(207\) −5.99695 + 8.98285i −0.416817 + 0.624351i
\(208\) 4.08821 1.14787i 0.283467 0.0795904i
\(209\) −3.06777 −0.212202
\(210\) 12.9772 9.41240i 0.895513 0.649517i
\(211\) 6.95372i 0.478714i 0.970932 + 0.239357i \(0.0769366\pi\)
−0.970932 + 0.239357i \(0.923063\pi\)
\(212\) −14.0571 + 8.22802i −0.965444 + 0.565103i
\(213\) 8.77609 0.866144i 0.601328 0.0593472i
\(214\) −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
\(218\) 10.9284 + 14.1546i 0.740166 + 0.958671i
\(219\) −4.98156 + 6.07252i −0.336622 + 0.410343i
\(220\) −2.10080 + 0.891212i −0.141636 + 0.0600855i
\(221\) 4.72454 0.317807
\(222\) 23.4162 + 0.691978i 1.57159 + 0.0464425i
\(223\) −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
\(225\) 0.898700 14.9731i 0.0599133 0.998204i
\(226\) 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 \(0.0507887\pi\)
\(228\) −20.5685 3.26575i −1.36218 0.216280i
\(229\) 1.09678 0.0724770 0.0362385 0.999343i \(-0.488462\pi\)
0.0362385 + 0.999343i \(0.488462\pi\)
\(230\) 5.74692 + 9.82800i 0.378941 + 0.648039i
\(231\) −2.00000 1.64069i −0.131590 0.107949i
\(232\) 5.64737 + 13.2963i 0.370768 + 0.872942i
\(233\) −6.98082 + 6.98082i −0.457329 + 0.457329i −0.897778 0.440449i \(-0.854819\pi\)
0.440449 + 0.897778i \(0.354819\pi\)
\(234\) 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
\(237\) 12.6038 1.24391i 0.818704 0.0808008i
\(238\) −11.2580 14.5814i −0.729746 0.945174i
\(239\) 12.3210 0.796976 0.398488 0.917173i \(-0.369535\pi\)
0.398488 + 0.917173i \(0.369535\pi\)
\(240\) −15.0340 + 3.73892i −0.970439 + 0.241346i
\(241\) −7.03833 −0.453379 −0.226689 0.973967i \(-0.572790\pi\)
−0.226689 + 0.973967i \(0.572790\pi\)
\(242\) −9.28183 12.0219i −0.596659 0.772798i
\(243\) −7.36211 13.7404i −0.472279 0.881449i
\(244\) −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
\(248\) 11.8887 5.04954i 0.754934 0.320646i
\(249\) −7.42595 + 9.05224i −0.470600 + 0.573662i
\(250\) −13.7763 7.75966i −0.871292 0.490764i
\(251\) −9.92262 −0.626311 −0.313155 0.949702i \(-0.601386\pi\)
−0.313155 + 0.949702i \(0.601386\pi\)
\(252\) −11.6628 13.1294i −0.734688 0.827073i
\(253\) 1.29904 1.29904i 0.0816696 0.0816696i
\(254\) 1.91228 + 0.245957i 0.119987 + 0.0154327i
\(255\) −17.2289 0.516586i −1.07892 0.0323499i
\(256\) 8.32826 + 13.6616i 0.520516 + 0.853852i
\(257\) −14.5324 14.5324i −0.906508 0.906508i 0.0894809 0.995989i \(-0.471479\pi\)
−0.995989 + 0.0894809i \(0.971479\pi\)
\(258\) 0.609821 20.6361i 0.0379658 1.28474i
\(259\) 27.9923 1.73935
\(260\) 1.77938 4.40144i 0.110353 0.272966i
\(261\) 2.99522 + 15.0266i 0.185400 + 0.930120i
\(262\) 6.56176 + 8.49885i 0.405387 + 0.525061i
\(263\) 10.8634 10.8634i 0.669867 0.669867i −0.287818 0.957685i \(-0.592930\pi\)
0.957685 + 0.287818i \(0.0929298\pi\)
\(264\) 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
\(267\) −2.15079 21.7926i −0.131626 1.33369i
\(268\) 19.4894 11.4077i 1.19050 0.696838i
\(269\) 32.3280i 1.97108i 0.169455 + 0.985538i \(0.445799\pi\)
−0.169455 + 0.985538i \(0.554201\pi\)
\(270\) −16.4193 + 0.638338i −0.999245 + 0.0388480i
\(271\) 0.306338 0.0186087 0.00930434 0.999957i \(-0.497038\pi\)
0.00930434 + 0.999957i \(0.497038\pi\)
\(272\) 4.81227 + 17.1392i 0.291787 + 1.03922i
\(273\) 5.35567 0.528571i 0.324140 0.0319905i
\(274\) −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 0.465645 0.884971i \(-0.345822\pi\)
−0.884971 + 0.465645i \(0.845822\pi\)
\(278\) −7.79094 10.0909i −0.467270 0.605212i
\(279\) 13.4358 2.67815i 0.804383 0.160337i
\(280\) −17.8243 + 4.99632i −1.06521 + 0.298587i
\(281\) 15.4596i 0.922240i −0.887338 0.461120i \(-0.847448\pi\)
0.887338 0.461120i \(-0.152552\pi\)
\(282\) 11.5598 + 0.341607i 0.688378 + 0.0203424i
\(283\) −8.86458 + 8.86458i −0.526945 + 0.526945i −0.919660 0.392715i \(-0.871536\pi\)
0.392715 + 0.919660i \(0.371536\pi\)
\(284\) −9.85156 2.57684i −0.584583 0.152908i
\(285\) −16.9505 + 15.9637i −1.00406 + 0.945605i
\(286\) −0.759816 0.0977275i −0.0449289 0.00577875i
\(287\) 8.78258 + 8.78258i 0.518419 + 0.518419i
\(288\) 5.70040 + 15.9845i 0.335899 + 0.941898i
\(289\) 2.80690i 0.165112i
\(290\) 15.6235 + 4.09381i 0.917446 + 0.240397i
\(291\) −20.6023 16.9010i −1.20773 0.990754i
\(292\) 7.82720 4.58150i 0.458053 0.268112i
\(293\) −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
\(297\) 0.771206 + 2.53684i 0.0447499 + 0.147202i
\(298\) 14.7283 11.3713i 0.853186 0.658724i
\(299\) 3.82192i 0.221027i
\(300\) −6.97013 + 15.8561i −0.402421 + 0.915455i
\(301\) 24.6688i 1.42189i
\(302\) 2.38520 + 3.08933i 0.137253 + 0.177771i
\(303\) 1.09045 + 11.0488i 0.0626445 + 0.634738i
\(304\) 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 0.967186 0.254068i \(-0.0817688\pi\)
−0.254068 + 0.967186i \(0.581769\pi\)
\(308\) 1.50893 + 2.57791i 0.0859791 + 0.146890i
\(309\) −2.89442 + 3.52830i −0.164658 + 0.200718i
\(310\) 3.66044 13.9696i 0.207899 0.793421i
\(311\) 0.224632i 0.0127377i −0.999980 0.00636886i \(-0.997973\pi\)
0.999980 0.00636886i \(-0.00202728\pi\)
\(312\) −4.99030 1.46408i −0.282520 0.0828874i
\(313\) −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
\(315\) −19.5883 + 1.34194i −1.10368 + 0.0756098i
\(316\) −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 \(-0.0469068\pi\)
\(318\) 19.9400 + 0.589252i 1.11818 + 0.0330436i
\(319\) 2.60618i 0.145918i
\(320\) 17.7795 + 1.97190i 0.993906 + 0.110233i
\(321\) 18.9984 + 15.5852i 1.06039 + 0.869882i
\(322\) 11.7957 9.10715i 0.657347 0.507522i
\(323\) 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
\(327\) −2.15109 21.7956i −0.118955 1.20530i
\(328\) −4.69221 11.0474i −0.259084 0.609991i
\(329\) 13.8189 0.761860
\(330\) 2.76013 + 0.439461i 0.151940 + 0.0241916i
\(331\) 12.3308i 0.677760i −0.940830 0.338880i \(-0.889952\pi\)
0.940830 0.338880i \(-0.110048\pi\)
\(332\) 11.6679 6.82959i 0.640361 0.374822i
\(333\) −23.8624 15.9305i −1.30765 0.872988i
\(334\) 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 \(0.115151\pi\)
\(338\) −13.2907 + 10.2614i −0.722918 + 0.558147i
\(339\) −3.57799 2.93518i −0.194330 0.159417i
\(340\) 18.4524 + 7.45980i 1.00072 + 0.404564i
\(341\) −2.33029 −0.126192
\(342\) 19.2337 + 16.7528i 1.04004 + 0.905886i
\(343\) 11.2449 + 11.2449i 0.607166 + 0.607166i
\(344\) −8.92534 + 22.1050i −0.481222 + 1.19182i
\(345\) 0.417893 13.9374i 0.0224986 0.750363i
\(346\) 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 \(0.151728\pi\)
\(348\) 2.77437 17.4736i 0.148722 0.936685i
\(349\) −13.9579 −0.747152 −0.373576 0.927600i \(-0.621868\pi\)
−0.373576 + 0.927600i \(0.621868\pi\)
\(350\) −7.76533 + 19.1843i −0.415074 + 1.02544i
\(351\) −4.86633 2.59735i −0.259746 0.138636i
\(352\) −0.419399 2.85593i −0.0223541 0.152221i
\(353\) −11.8744 + 11.8744i −0.632008 + 0.632008i −0.948571 0.316563i \(-0.897471\pi\)
0.316563 + 0.948571i \(0.397471\pi\)
\(354\) −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
\(357\) 2.21595 + 22.4528i 0.117281 + 1.18833i
\(358\) −15.5755 + 12.0254i −0.823189 + 0.635564i
\(359\) −33.8765 −1.78793 −0.893967 0.448133i \(-0.852089\pi\)
−0.893967 + 0.448133i \(0.852089\pi\)
\(360\) 18.0380 + 5.88471i 0.950687 + 0.310152i
\(361\) 17.1439 0.902313
\(362\) 6.50340 5.02112i 0.341811 0.263904i
\(363\) 1.82698 + 18.5116i 0.0958915 + 0.971608i
\(364\) −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 \(0.119612\pi\)
\(368\) −13.8648 + 3.89289i −0.722752 + 0.202931i
\(369\) −2.48863 12.4851i −0.129553 0.649946i
\(370\) −26.1075 + 15.2664i −1.35726 + 0.793660i
\(371\) 23.8368 1.23754
\(372\) −15.6239 2.48067i −0.810060 0.128617i
\(373\) 25.8380 25.8380i 1.33784 1.33784i 0.439697 0.898146i \(-0.355086\pi\)
0.898146 0.439697i \(-0.144914\pi\)
\(374\) 0.409708 3.18541i 0.0211855 0.164714i
\(375\) 9.26235 + 17.0061i 0.478306 + 0.878193i
\(376\) −12.3827 4.99977i −0.638588 0.257843i
\(377\) 3.83385 + 3.83385i 0.197453 + 0.197453i
\(378\) 3.57960 + 21.2082i 0.184115 + 1.09083i
\(379\) 12.2262 0.628019 0.314010 0.949420i \(-0.398328\pi\)
0.314010 + 0.949420i \(0.398328\pi\)
\(380\) 24.7513 10.5001i 1.26971 0.538644i
\(381\) −1.82564 1.49766i −0.0935306 0.0767272i
\(382\) −15.4987 + 11.9662i −0.792982 + 0.612242i
\(383\) −21.6256 + 21.6256i −1.10501 + 1.10501i −0.111219 + 0.993796i \(0.535475\pi\)
−0.993796 + 0.111219i \(0.964525\pi\)
\(384\) 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
\(387\) −14.0391 + 21.0293i −0.713649 + 1.06898i
\(388\) 15.5437 + 26.5555i 0.789112 + 1.34815i
\(389\) 6.63941i 0.336632i −0.985733 0.168316i \(-0.946167\pi\)
0.985733 0.168316i \(-0.0538328\pi\)
\(390\) −4.70680 + 3.41385i −0.238338 + 0.172867i
\(391\) −16.0228 −0.810309
\(392\) 1.73236 + 4.07870i 0.0874975 + 0.206006i
\(393\) −1.29158 13.0867i −0.0651514 0.660138i
\(394\) −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 0.259984 0.965613i \(-0.416283\pi\)
−0.965613 + 0.259984i \(0.916283\pi\)
\(398\) 6.62498 5.11498i 0.332080 0.256391i
\(399\) 23.5636 + 19.3303i 1.17966 + 0.967725i
\(400\) 13.8993 14.3809i 0.694964 0.719045i
\(401\) 18.1176i 0.904751i −0.891827 0.452376i \(-0.850577\pi\)
0.891827 0.452376i \(-0.149423\pi\)
\(402\) −27.6458 0.816968i −1.37885 0.0407466i
\(403\) 3.42800 3.42800i 0.170761 0.170761i
\(404\) 3.24416 12.4028i 0.161403 0.617062i
\(405\) 17.4620 + 10.0038i 0.867696 + 0.497095i
\(406\) 2.69691 20.9681i 0.133845 1.04063i
\(407\) 3.45081 + 3.45081i 0.171050 + 0.171050i
\(408\) 6.13795 20.9211i 0.303874 1.03575i
\(409\) 26.3245i 1.30166i −0.759223 0.650831i \(-0.774421\pi\)
0.759223 0.650831i \(-0.225579\pi\)
\(410\) −12.9811 3.40141i −0.641089 0.167984i
\(411\) 1.10853 1.35130i 0.0546798 0.0666548i
\(412\) 4.54782 2.66197i 0.224055 0.131146i
\(413\) −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
\(417\) 1.53352 + 15.5382i 0.0750969 + 0.760909i
\(418\) −2.65135 3.43406i −0.129682 0.167965i
\(419\) 12.7809i 0.624385i −0.950019 0.312193i \(-0.898937\pi\)
0.950019 0.312193i \(-0.101063\pi\)
\(420\) 21.7519 + 6.39192i 1.06139 + 0.311894i
\(421\) 26.3792i 1.28564i 0.766017 + 0.642821i \(0.222236\pi\)
−0.766017 + 0.642821i \(0.777764\pi\)
\(422\) −7.78398 + 6.00983i −0.378918 + 0.292554i
\(423\) −11.7801 7.86440i −0.572769 0.382380i
\(424\) −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
\(428\) −14.3336 24.4881i −0.692841 1.18368i
\(429\) 0.725393 + 0.595072i 0.0350223 + 0.0287303i
\(430\) 13.4538 + 23.0078i 0.648801 + 1.10954i
\(431\) 28.6818i 1.38155i −0.723068 0.690777i \(-0.757269\pi\)
0.723068 0.690777i \(-0.242731\pi\)
\(432\) 4.46572 20.2992i 0.214857 0.976646i
\(433\) −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
\(435\) −13.5617 14.4001i −0.650233 0.690431i
\(436\) −6.39964 + 24.4665i −0.306487 + 1.17173i
\(437\) −15.3050 + 15.3050i −0.732137 + 0.732137i
\(438\) −11.1029 0.328105i −0.530519 0.0156775i
\(439\) 11.8510i 0.565620i 0.959176 + 0.282810i \(0.0912665\pi\)
−0.959176 + 0.282810i \(0.908733\pi\)
\(440\) −2.81326 1.58140i −0.134117 0.0753902i
\(441\) 0.918802 + 4.60948i 0.0437525 + 0.219499i
\(442\) 4.08323 + 5.28864i 0.194219 + 0.251555i
\(443\) −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
\(447\) −22.6789 + 2.23827i −1.07268 + 0.105866i
\(448\) −0.418930 23.4114i −0.0197926 1.10609i
\(449\) 34.3414 1.62067 0.810336 0.585966i \(-0.199285\pi\)
0.810336 + 0.585966i \(0.199285\pi\)
\(450\) 17.5375 11.9346i 0.826727 0.562603i
\(451\) 2.16539i 0.101964i
\(452\) 2.69946 + 4.61186i 0.126972 + 0.216924i
\(453\) −0.469488 4.75703i −0.0220585 0.223505i
\(454\) 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 \(0.298778\pi\)
\(458\) 0.947900 + 1.22773i 0.0442925 + 0.0573680i
\(459\) 10.8890 20.4014i 0.508255 0.952254i
\(460\) −6.03461 + 14.9271i −0.281365 + 0.695977i
\(461\) 20.6452 0.961543 0.480772 0.876846i \(-0.340357\pi\)
0.480772 + 0.876846i \(0.340357\pi\)
\(462\) 0.108062 3.65678i 0.00502751 0.170129i
\(463\) 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
\(465\) −12.8757 + 12.1260i −0.597095 + 0.562332i
\(466\) −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 \(0.182855\pi\)
\(468\) 4.23007 + 4.76198i 0.195535 + 0.220123i
\(469\) −33.0484 −1.52603
\(470\) −12.8884 + 7.53651i −0.594499 + 0.347633i
\(471\) −6.80600 + 8.29652i −0.313604 + 0.382283i
\(472\) 1.28833 + 3.03326i 0.0593002 + 0.139617i
\(473\) 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
\(477\) −20.3200 13.5656i −0.930389 0.621127i
\(478\) 10.6485 + 13.7921i 0.487052 + 0.630834i
\(479\) −35.9113 −1.64083 −0.820414 0.571770i \(-0.806257\pi\)
−0.820414 + 0.571770i \(0.806257\pi\)
\(480\) −17.1786 13.5976i −0.784093 0.620643i
\(481\) −10.1527 −0.462923
\(482\) −6.08295 7.87870i −0.277071 0.358865i
\(483\) −18.1632 + 1.79260i −0.826456 + 0.0815660i
\(484\) 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 \(0.972197\pi\)
\(488\) −5.45044 12.8326i −0.246730 0.580905i
\(489\) 0.891726 + 0.731522i 0.0403252 + 0.0330806i
\(490\) 4.79261 + 1.25580i 0.216508 + 0.0567312i
\(491\) −30.9507 −1.39678 −0.698392 0.715715i \(-0.746101\pi\)
−0.698392 + 0.715715i \(0.746101\pi\)
\(492\) −2.30513 + 14.5182i −0.103923 + 0.654533i
\(493\) −16.0728 + 16.0728i −0.723884 + 0.723884i
\(494\) 8.95201 + 1.15141i 0.402770 + 0.0518043i
\(495\) −2.58022 2.24936i −0.115972 0.101101i
\(496\) 15.9274 + 8.94409i 0.715161 + 0.401602i
\(497\) 10.5375 + 10.5375i 0.472672 + 0.472672i
\(498\) −16.5510 0.489103i −0.741669 0.0219172i
\(499\) −19.9194 −0.891716 −0.445858 0.895104i \(-0.647101\pi\)
−0.445858 + 0.895104i \(0.647101\pi\)
\(500\) −3.22020 22.1276i −0.144012 0.989576i
\(501\) −0.769562 + 0.938097i −0.0343815 + 0.0419111i
\(502\) −8.57573 11.1074i −0.382754 0.495746i
\(503\) 14.6687 14.6687i 0.654047 0.654047i −0.299918 0.953965i \(-0.596959\pi\)
0.953965 + 0.299918i \(0.0969593\pi\)
\(504\) 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
\(507\) 20.4653 2.01979i 0.908896 0.0897022i
\(508\) 1.37738 + 2.35317i 0.0611114 + 0.104405i
\(509\) 4.85493i 0.215191i 0.994195 + 0.107595i \(0.0343151\pi\)
−0.994195 + 0.107595i \(0.965685\pi\)
\(510\) −14.3120 19.7325i −0.633748 0.873771i
\(511\) −13.2727 −0.587149
\(512\) −8.09503 + 21.1298i −0.357753 + 0.933816i
\(513\) −9.08621 29.8886i −0.401166 1.31961i
\(514\) 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
\(518\) 24.1926 + 31.3345i 1.06296 + 1.37676i
\(519\) −3.61473 + 4.40636i −0.158669 + 0.193418i
\(520\) 6.46481 1.81215i 0.283501 0.0794680i
\(521\) 15.0499i 0.659346i 0.944095 + 0.329673i \(0.106939\pi\)
−0.944095 + 0.329673i \(0.893061\pi\)
\(522\) −14.2321 + 16.3397i −0.622920 + 0.715170i
\(523\) −15.6997 + 15.6997i −0.686499 + 0.686499i −0.961456 0.274957i \(-0.911336\pi\)
0.274957 + 0.961456i \(0.411336\pi\)
\(524\) −3.84254 + 14.6904i −0.167862 + 0.641755i
\(525\) 20.5252 14.8734i 0.895794 0.649130i
\(526\) 21.5493 + 2.77167i 0.939596 + 0.120851i
\(527\) 14.3714 + 14.3714i 0.626026 + 0.626026i
\(528\) −1.41988 + 3.23763i −0.0617923 + 0.140900i
\(529\) 10.0383i 0.436449i
\(530\) −22.2318 + 13.0000i −0.965688 + 0.564686i
\(531\) 0.683298 + 3.42800i 0.0296526 + 0.148762i
\(532\) −17.7779 30.3725i −0.770770 1.31681i
\(533\) −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
\(537\) 23.9835 2.36701i 1.03496 0.102144i
\(538\) −36.1880 + 27.9399i −1.56017 + 1.20457i
\(539\) 0.799460i 0.0344352i
\(540\) −14.9051 17.8280i −0.641413 0.767196i
\(541\) 1.45079i 0.0623742i −0.999514 0.0311871i \(-0.990071\pi\)
0.999514 0.0311871i \(-0.00992877\pi\)
\(542\) 0.264756 + 0.342914i 0.0113722 + 0.0147294i
\(543\) −10.0141 + 0.988326i −0.429745 + 0.0424131i
\(544\) −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 0.745906 0.666052i \(-0.232017\pi\)
−0.666052 + 0.745906i \(0.732017\pi\)
\(548\) −1.74177 + 1.01951i −0.0744045 + 0.0435512i
\(549\) −2.89078 14.5026i −0.123375 0.618955i
\(550\) −3.32227 + 1.40769i −0.141662 + 0.0600243i
\(551\) 30.7055i 1.30810i
\(552\) 16.9241 + 4.96530i 0.720339 + 0.211337i
\(553\) 15.1334 + 15.1334i 0.643539 + 0.643539i
\(554\) 1.78060 13.8439i 0.0756505 0.588171i
\(555\) 37.0238 + 1.11011i 1.57157 + 0.0471214i
\(556\) 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 \(0.487016\pi\)
\(558\) 14.6100 + 12.7254i 0.618490 + 0.538711i
\(559\) 8.94729i 0.378430i
\(560\) −20.9977 15.6344i −0.887315 0.660673i
\(561\) −2.49475 + 3.04110i −0.105328 + 0.128395i
\(562\) 17.3054 13.3611i 0.729985 0.563604i
\(563\) 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
\(567\) 10.0612 24.3450i 0.422530 1.02239i
\(568\) −5.62980 13.2549i −0.236221 0.556163i
\(569\) −29.3180 −1.22907 −0.614537 0.788888i \(-0.710657\pi\)
−0.614537 + 0.788888i \(0.710657\pi\)
\(570\) −32.5194 5.17766i −1.36209 0.216868i
\(571\) 28.4036i 1.18865i 0.804224 + 0.594326i \(0.202581\pi\)
−0.804224 + 0.594326i \(0.797419\pi\)
\(572\) −0.547283 0.934999i −0.0228831 0.0390943i
\(573\) 23.8652 2.35535i 0.996985 0.0983960i
\(574\) −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 \(0.438692\pi\)
\(578\) −3.14204 + 2.42590i −0.130692 + 0.100904i
\(579\) 7.10371 8.65943i 0.295220 0.359874i
\(580\) 8.92020 + 21.0271i 0.370391 + 0.873102i
\(581\) −19.7855 −0.820839
\(582\) 1.11317 37.6691i 0.0461423 1.56143i
\(583\) 2.93853 + 2.93853i 0.121702 + 0.121702i
\(584\) 11.8933 + 4.80216i 0.492147 + 0.198715i
\(585\) 7.10461 0.486718i 0.293740 0.0201233i
\(586\) 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 \(0.356317\pi\)
\(588\) 0.851053 5.36013i 0.0350968 0.221048i
\(589\) 27.4550 1.13127
\(590\) 3.56418 + 0.933918i 0.146735 + 0.0384488i
\(591\) 7.30543 + 5.99297i 0.300505 + 0.246518i
\(592\) −10.3412 36.8310i −0.425022 1.51374i
\(593\) 0.161070 0.161070i 0.00661435 0.00661435i −0.703792 0.710406i \(-0.748511\pi\)
0.710406 + 0.703792i \(0.248511\pi\)
\(594\) −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
\(597\) −10.2013 + 1.00680i −0.417511 + 0.0412057i
\(598\) −4.27825 + 3.30313i −0.174951 + 0.135075i
\(599\) 15.6557 0.639673 0.319837 0.947473i \(-0.396372\pi\)
0.319837 + 0.947473i \(0.396372\pi\)
\(600\) −23.7734 + 5.90149i −0.970543 + 0.240927i
\(601\) 29.1506 1.18908 0.594540 0.804066i \(-0.297334\pi\)
0.594540 + 0.804066i \(0.297334\pi\)
\(602\) 27.6142 21.3203i 1.12547 0.868949i
\(603\) 28.1726 + 18.8080i 1.14728 + 0.765922i
\(604\) −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 \(0.0687250\pi\)
\(608\) 4.94129 + 33.6480i 0.200396 + 1.36461i
\(609\) −16.4217 + 20.0181i −0.665443 + 0.811176i
\(610\) −15.0787 3.95106i −0.610520 0.159974i
\(611\) −5.01206 −0.202766
\(612\) −19.9639 + 17.7339i −0.806992 + 0.716851i
\(613\) 29.5115 29.5115i 1.19196 1.19196i 0.215443 0.976516i \(-0.430880\pi\)
0.976516 0.215443i \(-0.0691195\pi\)
\(614\) −3.18791 + 24.7855i −0.128654 + 1.00026i
\(615\) 11.2679 + 11.9645i 0.454367 + 0.482456i
\(616\) −1.58160 + 3.91708i −0.0637245 + 0.157823i
\(617\) −29.7517 29.7517i −1.19776 1.19776i −0.974836 0.222923i \(-0.928440\pi\)
−0.222923 0.974836i \(-0.571560\pi\)
\(618\) −6.45111 0.190638i −0.259502 0.00766859i
\(619\) 12.4498 0.500402 0.250201 0.968194i \(-0.419503\pi\)
0.250201 + 0.968194i \(0.419503\pi\)
\(620\) 18.8012 7.97590i 0.755073 0.320320i
\(621\) 16.5037 + 8.80867i 0.662271 + 0.353480i
\(622\) 0.251453 0.194141i 0.0100823 0.00778433i
\(623\) 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
\(627\) 0.521877 + 5.28785i 0.0208417 + 0.211176i
\(628\) 10.6938 6.25942i 0.426730 0.249778i
\(629\) 42.5637i 1.69712i
\(630\) −18.4316 20.7673i −0.734331 0.827390i
\(631\) 43.7481 1.74158 0.870791 0.491653i \(-0.163607\pi\)
0.870791 + 0.491653i \(0.163607\pi\)
\(632\) −8.08524 19.0360i −0.321614 0.757212i
\(633\) 11.9860 1.18294i 0.476399 0.0470176i
\(634\) 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
\(638\) 2.91735 2.25242i 0.115499 0.0891741i
\(639\) −2.98590 14.9798i −0.118121 0.592592i
\(640\) 13.1588 + 21.6066i 0.520147 + 0.854077i
\(641\) 13.3935i 0.529013i 0.964384 + 0.264506i \(0.0852090\pi\)
−0.964384 + 0.264506i \(0.914791\pi\)
\(642\) −1.02651 + 34.7365i −0.0405129 + 1.37094i
\(643\) −12.4335 + 12.4335i −0.490331 + 0.490331i −0.908410 0.418080i \(-0.862703\pi\)
0.418080 + 0.908410i \(0.362703\pi\)
\(644\) 20.3891 + 5.33311i 0.803442 + 0.210154i
\(645\) 0.978306 32.6281i 0.0385208 1.28473i
\(646\) −4.82710 + 37.5300i −0.189920 + 1.47660i
\(647\) 0.352589 + 0.352589i 0.0138617 + 0.0138617i 0.714004 0.700142i \(-0.246880\pi\)
−0.700142 + 0.714004i \(0.746880\pi\)
\(648\) −17.8237 + 18.1746i −0.700181 + 0.713965i
\(649\) 0.594545i 0.0233380i
\(650\) 2.81646 6.95807i 0.110471 0.272918i
\(651\) 17.8990 + 14.6833i 0.701517 + 0.575485i
\(652\) −0.672775 1.14939i −0.0263479 0.0450138i
\(653\) −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
\(657\) 11.3145 + 7.55356i 0.441421 + 0.294692i
\(658\) 11.9431 + 15.4688i 0.465591 + 0.603038i
\(659\) 30.8600i 1.20213i −0.799199 0.601067i \(-0.794742\pi\)
0.799199 0.601067i \(-0.205258\pi\)
\(660\) 1.89354 + 3.46950i 0.0737060 + 0.135050i
\(661\) 44.1992i 1.71915i 0.511009 + 0.859575i \(0.329272\pi\)
−0.511009 + 0.859575i \(0.670728\pi\)
\(662\) 13.8030 10.6570i 0.536470 0.414196i
\(663\) −0.803718 8.14357i −0.0312138 0.316270i
\(664\) 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
\(668\) 1.20916 0.707760i 0.0467840 0.0273841i
\(669\) −25.9783 + 31.6675i −1.00438 + 1.22434i
\(670\) 30.8232 18.0239i 1.19081 0.696323i
\(671\) 2.51530i 0.0971021i
\(672\) −14.7740 + 24.5791i −0.569920 + 0.948160i
\(673\) 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
\(675\) −25.9616 + 0.998085i −0.999262 + 0.0384163i
\(676\) −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 \(0.466765\pi\)
\(678\) 0.193323 6.54196i 0.00742452 0.251242i
\(679\) 45.0304i 1.72811i
\(680\) 7.59716 + 27.1028i 0.291338 + 1.03934i
\(681\) −23.6371 19.3905i −0.905775 0.743047i
\(682\) −2.01398 2.60852i −0.0771192 0.0998855i
\(683\) −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
\(687\) −0.186579 1.89049i −0.00711843 0.0721266i
\(688\) −32.4581 + 9.11344i −1.23745 + 0.347447i
\(689\) −8.64552 −0.329368
\(690\) 15.9626 11.5777i 0.607688 0.440757i
\(691\) 47.2699i 1.79823i −0.437710 0.899116i \(-0.644210\pi\)
0.437710 0.899116i \(-0.355790\pi\)
\(692\) 5.67960 3.32444i 0.215906 0.126376i
\(693\) −2.48778 + 3.72646i −0.0945031 + 0.141557i
\(694\) 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
\(698\) −12.0633 15.6245i −0.456603 0.591396i
\(699\) 13.2202 + 10.8451i 0.500035 + 0.410201i
\(700\) −28.1861 + 7.88770i −1.06533 + 0.298127i
\(701\) −7.65973 −0.289304 −0.144652 0.989483i \(-0.546206\pi\)
−0.144652 + 0.989483i \(0.546206\pi\)
\(702\) −1.29831 7.69216i −0.0490015 0.290322i
\(703\) −40.6568 40.6568i −1.53340 1.53340i
\(704\) 2.83445 2.93774i 0.106827 0.110720i
\(705\) 18.2775 + 0.548024i 0.688369 + 0.0206398i
\(706\) −23.5547 3.02960i −0.886492 0.114021i
\(707\) −13.2664 + 13.2664i −0.498933 + 0.498933i
\(708\) 0.632915 3.98625i 0.0237864 0.149812i
\(709\) −43.9829 −1.65181 −0.825906 0.563808i \(-0.809336\pi\)
−0.825906 + 0.563808i \(0.809336\pi\)
\(710\) −15.5749 4.08108i −0.584516 0.153160i
\(711\) −4.28821 21.5132i −0.160820 0.806810i
\(712\) −32.9143 + 13.9798i −1.23351 + 0.523915i
\(713\) −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
\(717\) −2.09599 21.2373i −0.0782762 0.793123i
\(718\) −29.2781 37.9213i −1.09265 1.41521i
\(719\) 14.6227 0.545333 0.272666 0.962109i \(-0.412094\pi\)
0.272666 + 0.962109i \(0.412094\pi\)
\(720\) 9.00221 + 25.2777i 0.335493 + 0.942043i
\(721\) −7.71179 −0.287202
\(722\) 14.8168 + 19.1909i 0.551425 + 0.714212i
\(723\) 1.19733 + 12.1318i 0.0445292 + 0.451186i
\(724\) 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 \(0.446893\pi\)
\(728\) −3.43563 8.08889i −0.127333 0.299794i
\(729\) −22.4316 + 15.0274i −0.830802 + 0.556569i
\(730\) 12.3790 7.23864i 0.458168 0.267914i
\(731\) −37.5102 −1.38736
\(732\) −2.67763 + 16.8643i −0.0989679 + 0.623323i
\(733\) 8.64610 8.64610i 0.319351 0.319351i −0.529167 0.848518i \(-0.677495\pi\)
0.848518 + 0.529167i \(0.177495\pi\)
\(734\) 21.4037 + 2.75294i 0.790023 + 0.101613i
\(735\) −4.16012 4.41730i −0.153448 0.162935i
\(736\) −16.3405 12.1557i −0.602318 0.448067i
\(737\) −4.07412 4.07412i −0.150072 0.150072i
\(738\) 11.8249 13.5761i 0.435282 0.499743i
\(739\) −29.8509 −1.09808 −0.549041 0.835796i \(-0.685007\pi\)
−0.549041 + 0.835796i \(0.685007\pi\)
\(740\) −39.6528 16.0306i −1.45767 0.589296i
\(741\) −8.54646 7.01103i −0.313962 0.257557i
\(742\) 20.6012 + 26.6828i 0.756293 + 0.979558i
\(743\) −6.78930 + 6.78930i −0.249075 + 0.249075i −0.820591 0.571516i \(-0.806356\pi\)
0.571516 + 0.820591i \(0.306356\pi\)
\(744\) −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
\(747\) 16.8664 + 11.2600i 0.617110 + 0.411982i
\(748\) 3.91984 2.29440i 0.143324 0.0838916i
\(749\) 41.5247i 1.51728i
\(750\) −11.0316 + 25.0660i −0.402816 + 0.915281i
\(751\) 22.5357 0.822339 0.411170 0.911559i \(-0.365120\pi\)
0.411170 + 0.911559i \(0.365120\pi\)
\(752\) −5.10513 18.1823i −0.186165 0.663039i
\(753\) 1.68800 + 17.1034i 0.0615140 + 0.623282i
\(754\) −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 \(0.0880035\pi\)
0.272963 + 0.962025i \(0.411996\pi\)
\(758\) 10.5666 + 13.6860i 0.383798 + 0.497099i
\(759\) −2.46010 2.01813i −0.0892961 0.0732535i
\(760\) 33.1454 + 18.6318i 1.20231 + 0.675845i
\(761\) 34.4290i 1.24805i −0.781404 0.624025i \(-0.785496\pi\)
0.781404 0.624025i \(-0.214504\pi\)
\(762\) 0.0986416 3.33799i 0.00357341 0.120923i
\(763\) 26.1701 26.1701i 0.947421 0.947421i
\(764\) −26.7898 7.00733i −0.969222 0.253516i
\(765\) 2.04049 + 29.7850i 0.0737741 + 1.07688i
\(766\) −42.8977 5.51751i −1.54996 0.199356i
\(767\) 0.874612 + 0.874612i 0.0315804 + 0.0315804i
\(768\) 22.1315 16.6793i 0.798600 0.601862i
\(769\) 14.8941i 0.537094i 0.963267 + 0.268547i \(0.0865434\pi\)
−0.963267 + 0.268547i \(0.913457\pi\)
\(770\) 2.38406 + 4.07706i 0.0859156 + 0.146927i
\(771\) −22.5770 + 27.5214i −0.813091 + 0.991159i
\(772\) −11.1616 + 6.53323i −0.401715 + 0.235136i
\(773\) 7.32969 + 7.32969i 0.263631 + 0.263631i 0.826527 0.562897i \(-0.190313\pi\)
−0.562897