Properties

Label 770.2.n.k.141.1
Level $770$
Weight $2$
Character 770.141
Analytic conductor $6.148$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} - 8420 x^{7} + 13485 x^{6} - 14630 x^{5} + 11615 x^{4} - 5200 x^{3} + 1425 x^{2} - 225 x + 25\)
Coefficient ring: \(\Z[a_1, \ldots, a_{11}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 141.1
Root \(2.57883 + 1.87363i\) of defining polynomial
Character \(\chi\) \(=\) 770.141
Dual form 770.2.n.k.71.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(-2.57883 + 1.87363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.985024 + 3.03159i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.21282 - 6.81035i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(-2.57883 + 1.87363i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.309017 - 0.951057i) q^{5} +(0.985024 + 3.03159i) q^{6} +(0.809017 + 0.587785i) q^{7} +(-0.809017 + 0.587785i) q^{8} +(2.21282 - 6.81035i) q^{9} -1.00000 q^{10} +(-0.853282 + 3.20498i) q^{11} +3.18761 q^{12} +(1.75862 - 5.41248i) q^{13} +(0.809017 - 0.587785i) q^{14} +(2.57883 + 1.87363i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.231460 - 0.712362i) q^{17} +(-5.79323 - 4.20903i) q^{18} +(-5.49296 + 3.99087i) q^{19} +(-0.309017 + 0.951057i) q^{20} -3.18761 q^{21} +(2.78444 + 1.80191i) q^{22} +3.94010 q^{23} +(0.985024 - 3.03159i) q^{24} +(-0.809017 + 0.587785i) q^{25} +(-4.60413 - 3.34510i) q^{26} +(4.09852 + 12.6139i) q^{27} +(-0.309017 - 0.951057i) q^{28} +(4.64244 + 3.37293i) q^{29} +(2.57883 - 1.87363i) q^{30} +(-2.19696 + 6.76156i) q^{31} +1.00000 q^{32} +(-3.80447 - 9.86383i) q^{33} -0.749022 q^{34} +(0.309017 - 0.951057i) q^{35} +(-5.79323 + 4.20903i) q^{36} +(9.38862 + 6.82123i) q^{37} +(2.09812 + 6.45736i) q^{38} +(5.60579 + 17.2529i) q^{39} +(0.809017 + 0.587785i) q^{40} +(-9.25986 + 6.72768i) q^{41} +(-0.985024 + 3.03159i) q^{42} +2.33345 q^{43} +(2.57416 - 2.09134i) q^{44} -7.16083 q^{45} +(1.21756 - 3.74725i) q^{46} +(4.04528 - 2.93907i) q^{47} +(-2.57883 - 1.87363i) q^{48} +(0.309017 + 0.951057i) q^{49} +(0.309017 + 0.951057i) q^{50} +(1.93160 + 1.40339i) q^{51} +(-4.60413 + 3.34510i) q^{52} +(-3.32721 + 10.2401i) q^{53} +13.2631 q^{54} +(3.31180 - 0.178874i) q^{55} -1.00000 q^{56} +(6.68799 - 20.5835i) q^{57} +(4.64244 - 3.37293i) q^{58} +(-4.23038 - 3.07355i) q^{59} +(-0.985024 - 3.03159i) q^{60} +(2.37448 + 7.30790i) q^{61} +(5.75173 + 4.17887i) q^{62} +(5.79323 - 4.20903i) q^{63} +(0.309017 - 0.951057i) q^{64} -5.69102 q^{65} +(-10.5567 + 0.570180i) q^{66} -7.39587 q^{67} +(-0.231460 + 0.712362i) q^{68} +(-10.1608 + 7.38227i) q^{69} +(-0.809017 - 0.587785i) q^{70} +(-0.177744 - 0.547039i) q^{71} +(2.21282 + 6.81035i) q^{72} +(10.1697 + 7.38869i) q^{73} +(9.38862 - 6.82123i) q^{74} +(0.985024 - 3.03159i) q^{75} +6.78967 q^{76} +(-2.57416 + 2.09134i) q^{77} +18.1407 q^{78} +(2.11207 - 6.50029i) q^{79} +(0.809017 - 0.587785i) q^{80} +(-16.8235 - 12.2230i) q^{81} +(3.53695 + 10.8856i) q^{82} +(3.25248 + 10.0101i) q^{83} +(2.57883 + 1.87363i) q^{84} +(-0.605971 + 0.440264i) q^{85} +(0.721074 - 2.21924i) q^{86} -18.2916 q^{87} +(-1.19352 - 3.09443i) q^{88} +4.80467 q^{89} +(-2.21282 + 6.81035i) q^{90} +(4.60413 - 3.34510i) q^{91} +(-3.18761 - 2.31593i) q^{92} +(-7.00305 - 21.5532i) q^{93} +(-1.54516 - 4.75552i) q^{94} +(5.49296 + 3.99087i) q^{95} +(-2.57883 + 1.87363i) q^{96} +(5.02824 - 15.4753i) q^{97} +1.00000 q^{98} +(19.9389 + 12.9032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9} + O(q^{10}) \) \( 16 q - 4 q^{2} - 5 q^{3} - 4 q^{4} + 4 q^{5} + 5 q^{6} + 4 q^{7} - 4 q^{8} + q^{9} - 16 q^{10} - 2 q^{11} + 8 q^{13} + 4 q^{14} + 5 q^{15} - 4 q^{16} - 13 q^{17} - 9 q^{18} + 15 q^{19} + 4 q^{20} - 2 q^{22} + 20 q^{23} + 5 q^{24} - 4 q^{25} - 7 q^{26} + 10 q^{27} + 4 q^{28} - 14 q^{29} + 5 q^{30} - 6 q^{31} + 16 q^{32} - 25 q^{33} + 12 q^{34} - 4 q^{35} - 9 q^{36} + 28 q^{37} - 20 q^{38} + 15 q^{39} + 4 q^{40} + 2 q^{41} - 5 q^{42} - 10 q^{43} + 3 q^{44} - 16 q^{45} - 10 q^{46} - 10 q^{47} - 5 q^{48} - 4 q^{49} - 4 q^{50} - 42 q^{51} - 7 q^{52} - 2 q^{53} - 3 q^{55} - 16 q^{56} + 21 q^{57} - 14 q^{58} + 7 q^{59} - 5 q^{60} + 4 q^{61} + 14 q^{62} + 9 q^{63} - 4 q^{64} + 2 q^{65} - 10 q^{66} + 66 q^{67} - 13 q^{68} - 64 q^{69} - 4 q^{70} + 2 q^{71} + q^{72} + 12 q^{73} + 28 q^{74} + 5 q^{75} + 10 q^{76} - 3 q^{77} + 70 q^{78} + 2 q^{79} + 4 q^{80} - 30 q^{81} - 13 q^{82} - 5 q^{83} + 5 q^{84} - 7 q^{85} + 5 q^{86} - 24 q^{87} - 2 q^{88} + 2 q^{89} - q^{90} + 7 q^{91} - 38 q^{93} + 25 q^{94} - 15 q^{95} - 5 q^{96} + 22 q^{97} + 16 q^{98} - 18 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(1\) \(1\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) −2.57883 + 1.87363i −1.48889 + 1.08174i −0.514331 + 0.857592i \(0.671960\pi\)
−0.974555 + 0.224148i \(0.928040\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −0.309017 0.951057i −0.138197 0.425325i
\(6\) 0.985024 + 3.03159i 0.402134 + 1.23764i
\(7\) 0.809017 + 0.587785i 0.305780 + 0.222162i
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) 2.21282 6.81035i 0.737606 2.27012i
\(10\) −1.00000 −0.316228
\(11\) −0.853282 + 3.20498i −0.257274 + 0.966338i
\(12\) 3.18761 0.920182
\(13\) 1.75862 5.41248i 0.487754 1.50115i −0.340198 0.940354i \(-0.610494\pi\)
0.827952 0.560799i \(-0.189506\pi\)
\(14\) 0.809017 0.587785i 0.216219 0.157092i
\(15\) 2.57883 + 1.87363i 0.665850 + 0.483769i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −0.231460 0.712362i −0.0561374 0.172773i 0.919056 0.394126i \(-0.128953\pi\)
−0.975194 + 0.221353i \(0.928953\pi\)
\(18\) −5.79323 4.20903i −1.36548 0.992078i
\(19\) −5.49296 + 3.99087i −1.26017 + 0.915568i −0.998766 0.0496616i \(-0.984186\pi\)
−0.261405 + 0.965229i \(0.584186\pi\)
\(20\) −0.309017 + 0.951057i −0.0690983 + 0.212663i
\(21\) −3.18761 −0.695592
\(22\) 2.78444 + 1.80191i 0.593645 + 0.384169i
\(23\) 3.94010 0.821567 0.410783 0.911733i \(-0.365255\pi\)
0.410783 + 0.911733i \(0.365255\pi\)
\(24\) 0.985024 3.03159i 0.201067 0.618821i
\(25\) −0.809017 + 0.587785i −0.161803 + 0.117557i
\(26\) −4.60413 3.34510i −0.902945 0.656028i
\(27\) 4.09852 + 12.6139i 0.788760 + 2.42755i
\(28\) −0.309017 0.951057i −0.0583987 0.179733i
\(29\) 4.64244 + 3.37293i 0.862079 + 0.626337i 0.928450 0.371458i \(-0.121142\pi\)
−0.0663710 + 0.997795i \(0.521142\pi\)
\(30\) 2.57883 1.87363i 0.470827 0.342076i
\(31\) −2.19696 + 6.76156i −0.394586 + 1.21441i 0.534697 + 0.845044i \(0.320426\pi\)
−0.929283 + 0.369368i \(0.879574\pi\)
\(32\) 1.00000 0.176777
\(33\) −3.80447 9.86383i −0.662274 1.71707i
\(34\) −0.749022 −0.128456
\(35\) 0.309017 0.951057i 0.0522334 0.160758i
\(36\) −5.79323 + 4.20903i −0.965539 + 0.701505i
\(37\) 9.38862 + 6.82123i 1.54348 + 1.12140i 0.948106 + 0.317955i \(0.102996\pi\)
0.595374 + 0.803449i \(0.297004\pi\)
\(38\) 2.09812 + 6.45736i 0.340360 + 1.04752i
\(39\) 5.60579 + 17.2529i 0.897645 + 2.76267i
\(40\) 0.809017 + 0.587785i 0.127917 + 0.0929370i
\(41\) −9.25986 + 6.72768i −1.44615 + 1.05069i −0.459434 + 0.888212i \(0.651948\pi\)
−0.986713 + 0.162475i \(0.948052\pi\)
\(42\) −0.985024 + 3.03159i −0.151993 + 0.467785i
\(43\) 2.33345 0.355847 0.177924 0.984044i \(-0.443062\pi\)
0.177924 + 0.984044i \(0.443062\pi\)
\(44\) 2.57416 2.09134i 0.388069 0.315281i
\(45\) −7.16083 −1.06747
\(46\) 1.21756 3.74725i 0.179519 0.552503i
\(47\) 4.04528 2.93907i 0.590065 0.428708i −0.252273 0.967656i \(-0.581178\pi\)
0.842339 + 0.538948i \(0.181178\pi\)
\(48\) −2.57883 1.87363i −0.372222 0.270435i
\(49\) 0.309017 + 0.951057i 0.0441453 + 0.135865i
\(50\) 0.309017 + 0.951057i 0.0437016 + 0.134500i
\(51\) 1.93160 + 1.40339i 0.270478 + 0.196514i
\(52\) −4.60413 + 3.34510i −0.638478 + 0.463882i
\(53\) −3.32721 + 10.2401i −0.457028 + 1.40659i 0.411710 + 0.911315i \(0.364932\pi\)
−0.868738 + 0.495272i \(0.835068\pi\)
\(54\) 13.2631 1.80488
\(55\) 3.31180 0.178874i 0.446563 0.0241194i
\(56\) −1.00000 −0.133631
\(57\) 6.68799 20.5835i 0.885846 2.72635i
\(58\) 4.64244 3.37293i 0.609582 0.442887i
\(59\) −4.23038 3.07355i −0.550749 0.400142i 0.277313 0.960780i \(-0.410556\pi\)
−0.828061 + 0.560637i \(0.810556\pi\)
\(60\) −0.985024 3.03159i −0.127166 0.391377i
\(61\) 2.37448 + 7.30790i 0.304021 + 0.935681i 0.980041 + 0.198797i \(0.0637035\pi\)
−0.676019 + 0.736884i \(0.736296\pi\)
\(62\) 5.75173 + 4.17887i 0.730470 + 0.530717i
\(63\) 5.79323 4.20903i 0.729879 0.530288i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −5.69102 −0.705884
\(66\) −10.5567 + 0.570180i −1.29944 + 0.0701843i
\(67\) −7.39587 −0.903549 −0.451775 0.892132i \(-0.649209\pi\)
−0.451775 + 0.892132i \(0.649209\pi\)
\(68\) −0.231460 + 0.712362i −0.0280687 + 0.0863866i
\(69\) −10.1608 + 7.38227i −1.22322 + 0.888721i
\(70\) −0.809017 0.587785i −0.0966960 0.0702538i
\(71\) −0.177744 0.547039i −0.0210943 0.0649216i 0.939955 0.341298i \(-0.110866\pi\)
−0.961050 + 0.276376i \(0.910866\pi\)
\(72\) 2.21282 + 6.81035i 0.260783 + 0.802608i
\(73\) 10.1697 + 7.38869i 1.19027 + 0.864781i 0.993293 0.115627i \(-0.0368877\pi\)
0.196977 + 0.980408i \(0.436888\pi\)
\(74\) 9.38862 6.82123i 1.09140 0.792952i
\(75\) 0.985024 3.03159i 0.113741 0.350058i
\(76\) 6.78967 0.778828
\(77\) −2.57416 + 2.09134i −0.293353 + 0.238330i
\(78\) 18.1407 2.05403
\(79\) 2.11207 6.50029i 0.237627 0.731339i −0.759136 0.650933i \(-0.774378\pi\)
0.996762 0.0804068i \(-0.0256219\pi\)
\(80\) 0.809017 0.587785i 0.0904508 0.0657164i
\(81\) −16.8235 12.2230i −1.86928 1.35811i
\(82\) 3.53695 + 10.8856i 0.390591 + 1.20211i
\(83\) 3.25248 + 10.0101i 0.357006 + 1.09875i 0.954837 + 0.297130i \(0.0960294\pi\)
−0.597831 + 0.801622i \(0.703971\pi\)
\(84\) 2.57883 + 1.87363i 0.281373 + 0.204430i
\(85\) −0.605971 + 0.440264i −0.0657268 + 0.0477533i
\(86\) 0.721074 2.21924i 0.0777554 0.239307i
\(87\) −18.2916 −1.96107
\(88\) −1.19352 3.09443i −0.127230 0.329868i
\(89\) 4.80467 0.509294 0.254647 0.967034i \(-0.418041\pi\)
0.254647 + 0.967034i \(0.418041\pi\)
\(90\) −2.21282 + 6.81035i −0.233251 + 0.717874i
\(91\) 4.60413 3.34510i 0.482644 0.350662i
\(92\) −3.18761 2.31593i −0.332331 0.241452i
\(93\) −7.00305 21.5532i −0.726183 2.23496i
\(94\) −1.54516 4.75552i −0.159371 0.490494i
\(95\) 5.49296 + 3.99087i 0.563566 + 0.409454i
\(96\) −2.57883 + 1.87363i −0.263200 + 0.191226i
\(97\) 5.02824 15.4753i 0.510540 1.57128i −0.280713 0.959792i \(-0.590571\pi\)
0.791253 0.611489i \(-0.209429\pi\)
\(98\) 1.00000 0.101015
\(99\) 19.9389 + 12.9032i 2.00393 + 1.29682i
\(100\) 1.00000 0.100000
\(101\) −1.97303 + 6.07238i −0.196324 + 0.604224i 0.803634 + 0.595123i \(0.202897\pi\)
−0.999959 + 0.00910063i \(0.997103\pi\)
\(102\) 1.93160 1.40339i 0.191257 0.138956i
\(103\) −1.88396 1.36878i −0.185632 0.134870i 0.491088 0.871110i \(-0.336599\pi\)
−0.676720 + 0.736240i \(0.736599\pi\)
\(104\) 1.75862 + 5.41248i 0.172447 + 0.530738i
\(105\) 0.985024 + 3.03159i 0.0961285 + 0.295853i
\(106\) 8.71076 + 6.32874i 0.846064 + 0.614701i
\(107\) −1.52804 + 1.11019i −0.147721 + 0.107326i −0.659191 0.751976i \(-0.729101\pi\)
0.511470 + 0.859301i \(0.329101\pi\)
\(108\) 4.09852 12.6139i 0.394380 1.21378i
\(109\) 7.76554 0.743804 0.371902 0.928272i \(-0.378706\pi\)
0.371902 + 0.928272i \(0.378706\pi\)
\(110\) 0.853282 3.20498i 0.0813573 0.305583i
\(111\) −36.9921 −3.51113
\(112\) −0.309017 + 0.951057i −0.0291994 + 0.0898664i
\(113\) −6.27217 + 4.55700i −0.590036 + 0.428687i −0.842328 0.538965i \(-0.818816\pi\)
0.252292 + 0.967651i \(0.418816\pi\)
\(114\) −17.5094 12.7213i −1.63990 1.19146i
\(115\) −1.21756 3.74725i −0.113538 0.349433i
\(116\) −1.77325 5.45751i −0.164642 0.506717i
\(117\) −32.9694 23.9537i −3.04802 2.21452i
\(118\) −4.23038 + 3.07355i −0.389438 + 0.282943i
\(119\) 0.231460 0.712362i 0.0212179 0.0653021i
\(120\) −3.18761 −0.290987
\(121\) −9.54382 5.46951i −0.867620 0.497228i
\(122\) 7.68398 0.695675
\(123\) 11.2744 34.6990i 1.01658 3.12871i
\(124\) 5.75173 4.17887i 0.516520 0.375274i
\(125\) 0.809017 + 0.587785i 0.0723607 + 0.0525731i
\(126\) −2.21282 6.81035i −0.197133 0.606714i
\(127\) −4.79878 14.7691i −0.425823 1.31055i −0.902204 0.431310i \(-0.858052\pi\)
0.476381 0.879239i \(-0.341948\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) −6.01755 + 4.37201i −0.529816 + 0.384934i
\(130\) −1.75862 + 5.41248i −0.154241 + 0.474706i
\(131\) 0.957959 0.0836973 0.0418486 0.999124i \(-0.486675\pi\)
0.0418486 + 0.999124i \(0.486675\pi\)
\(132\) −2.71993 + 10.2162i −0.236739 + 0.889208i
\(133\) −6.78967 −0.588739
\(134\) −2.28545 + 7.03389i −0.197433 + 0.607636i
\(135\) 10.7301 7.79584i 0.923496 0.670959i
\(136\) 0.605971 + 0.440264i 0.0519616 + 0.0377523i
\(137\) −1.44056 4.43359i −0.123076 0.378788i 0.870470 0.492221i \(-0.163815\pi\)
−0.993546 + 0.113434i \(0.963815\pi\)
\(138\) 3.88109 + 11.9448i 0.330380 + 1.01681i
\(139\) −3.61168 2.62404i −0.306339 0.222568i 0.423985 0.905669i \(-0.360631\pi\)
−0.730324 + 0.683101i \(0.760631\pi\)
\(140\) −0.809017 + 0.587785i −0.0683744 + 0.0496769i
\(141\) −4.92536 + 15.1587i −0.414790 + 1.27659i
\(142\) −0.575191 −0.0482690
\(143\) 15.8463 + 10.2547i 1.32513 + 0.857543i
\(144\) 7.16083 0.596736
\(145\) 1.77325 5.45751i 0.147261 0.453222i
\(146\) 10.1697 7.38869i 0.841647 0.611493i
\(147\) −2.57883 1.87363i −0.212698 0.154534i
\(148\) −3.58613 11.0370i −0.294778 0.907235i
\(149\) 4.82830 + 14.8600i 0.395550 + 1.21738i 0.928532 + 0.371251i \(0.121071\pi\)
−0.532983 + 0.846126i \(0.678929\pi\)
\(150\) −2.57883 1.87363i −0.210560 0.152981i
\(151\) 14.3883 10.4537i 1.17091 0.850713i 0.179789 0.983705i \(-0.442458\pi\)
0.991117 + 0.132992i \(0.0424583\pi\)
\(152\) 2.09812 6.45736i 0.170180 0.523761i
\(153\) −5.36361 −0.433623
\(154\) 1.19352 + 3.09443i 0.0961767 + 0.249356i
\(155\) 7.10952 0.571051
\(156\) 5.60579 17.2529i 0.448823 1.38133i
\(157\) 5.96684 4.33516i 0.476206 0.345984i −0.323649 0.946177i \(-0.604910\pi\)
0.799855 + 0.600193i \(0.204910\pi\)
\(158\) −5.52947 4.01740i −0.439901 0.319607i
\(159\) −10.6058 32.6414i −0.841098 2.58863i
\(160\) −0.309017 0.951057i −0.0244299 0.0751876i
\(161\) 3.18761 + 2.31593i 0.251218 + 0.182521i
\(162\) −16.8235 + 12.2230i −1.32178 + 0.960328i
\(163\) −3.23276 + 9.94941i −0.253209 + 0.779298i 0.740968 + 0.671540i \(0.234367\pi\)
−0.994177 + 0.107758i \(0.965633\pi\)
\(164\) 11.4458 0.893768
\(165\) −8.20541 + 6.66636i −0.638790 + 0.518975i
\(166\) 10.5252 0.816918
\(167\) −4.29311 + 13.2128i −0.332211 + 1.02244i 0.635869 + 0.771797i \(0.280642\pi\)
−0.968080 + 0.250643i \(0.919358\pi\)
\(168\) 2.57883 1.87363i 0.198961 0.144553i
\(169\) −15.6850 11.3958i −1.20654 0.876601i
\(170\) 0.231460 + 0.712362i 0.0177522 + 0.0546357i
\(171\) 15.0243 + 46.2400i 1.14894 + 3.53606i
\(172\) −1.88780 1.37156i −0.143943 0.104581i
\(173\) −7.92490 + 5.75777i −0.602519 + 0.437755i −0.846772 0.531956i \(-0.821457\pi\)
0.244253 + 0.969711i \(0.421457\pi\)
\(174\) −5.65243 + 17.3964i −0.428510 + 1.31882i
\(175\) −1.00000 −0.0755929
\(176\) −3.31180 + 0.178874i −0.249636 + 0.0134831i
\(177\) 16.6681 1.25285
\(178\) 1.48473 4.56952i 0.111285 0.342500i
\(179\) −0.546930 + 0.397368i −0.0408795 + 0.0297007i −0.608037 0.793908i \(-0.708043\pi\)
0.567158 + 0.823609i \(0.308043\pi\)
\(180\) 5.79323 + 4.20903i 0.431802 + 0.313722i
\(181\) −1.69968 5.23108i −0.126336 0.388823i 0.867806 0.496903i \(-0.165530\pi\)
−0.994142 + 0.108080i \(0.965530\pi\)
\(182\) −1.75862 5.41248i −0.130358 0.401200i
\(183\) −19.8157 14.3969i −1.46482 1.06425i
\(184\) −3.18761 + 2.31593i −0.234993 + 0.170733i
\(185\) 3.58613 11.0370i 0.263658 0.811455i
\(186\) −22.6624 −1.66168
\(187\) 2.48061 0.133981i 0.181400 0.00979763i
\(188\) −5.00025 −0.364680
\(189\) −4.09852 + 12.6139i −0.298123 + 0.917529i
\(190\) 5.49296 3.99087i 0.398501 0.289528i
\(191\) 10.1906 + 7.40390i 0.737366 + 0.535728i 0.891885 0.452262i \(-0.149383\pi\)
−0.154519 + 0.987990i \(0.549383\pi\)
\(192\) 0.985024 + 3.03159i 0.0710880 + 0.218786i
\(193\) −0.764031 2.35145i −0.0549962 0.169261i 0.919785 0.392422i \(-0.128363\pi\)
−0.974782 + 0.223161i \(0.928363\pi\)
\(194\) −13.1641 9.56427i −0.945127 0.686675i
\(195\) 14.6762 10.6629i 1.05098 0.763583i
\(196\) 0.309017 0.951057i 0.0220726 0.0679326i
\(197\) 8.91129 0.634903 0.317451 0.948275i \(-0.397173\pi\)
0.317451 + 0.948275i \(0.397173\pi\)
\(198\) 18.4331 14.9757i 1.30998 1.06428i
\(199\) 26.4542 1.87529 0.937644 0.347598i \(-0.113002\pi\)
0.937644 + 0.347598i \(0.113002\pi\)
\(200\) 0.309017 0.951057i 0.0218508 0.0672499i
\(201\) 19.0727 13.8571i 1.34528 0.977405i
\(202\) 5.16547 + 3.75294i 0.363441 + 0.264056i
\(203\) 1.77325 + 5.45751i 0.124458 + 0.383042i
\(204\) −0.737804 2.27073i −0.0516566 0.158983i
\(205\) 9.25986 + 6.72768i 0.646736 + 0.469881i
\(206\) −1.88396 + 1.36878i −0.131262 + 0.0953672i
\(207\) 8.71871 26.8334i 0.605993 1.86505i
\(208\) 5.69102 0.394601
\(209\) −8.10361 21.0102i −0.560539 1.45330i
\(210\) 3.18761 0.219966
\(211\) −2.56239 + 7.88622i −0.176402 + 0.542909i −0.999695 0.0247075i \(-0.992135\pi\)
0.823293 + 0.567617i \(0.192135\pi\)
\(212\) 8.71076 6.32874i 0.598257 0.434659i
\(213\) 1.48332 + 1.07769i 0.101635 + 0.0738424i
\(214\) 0.583659 + 1.79632i 0.0398981 + 0.122794i
\(215\) −0.721074 2.21924i −0.0491769 0.151351i
\(216\) −10.7301 7.79584i −0.730088 0.530440i
\(217\) −5.75173 + 4.17887i −0.390453 + 0.283680i
\(218\) 2.39968 7.38547i 0.162527 0.500207i
\(219\) −40.0695 −2.70764
\(220\) −2.78444 1.80191i −0.187727 0.121485i
\(221\) −4.26270 −0.286740
\(222\) −11.4312 + 35.1816i −0.767211 + 2.36123i
\(223\) −0.316011 + 0.229596i −0.0211617 + 0.0153749i −0.598316 0.801260i \(-0.704163\pi\)
0.577154 + 0.816635i \(0.304163\pi\)
\(224\) 0.809017 + 0.587785i 0.0540547 + 0.0392731i
\(225\) 2.21282 + 6.81035i 0.147521 + 0.454023i
\(226\) 2.39576 + 7.37338i 0.159363 + 0.490470i
\(227\) 3.97833 + 2.89042i 0.264051 + 0.191844i 0.711931 0.702249i \(-0.247821\pi\)
−0.447880 + 0.894094i \(0.647821\pi\)
\(228\) −17.5094 + 12.7213i −1.15959 + 0.842489i
\(229\) −2.83789 + 8.73412i −0.187533 + 0.577167i −0.999983 0.00586411i \(-0.998133\pi\)
0.812450 + 0.583031i \(0.198133\pi\)
\(230\) −3.94010 −0.259802
\(231\) 2.71993 10.2162i 0.178958 0.672178i
\(232\) −5.73837 −0.376742
\(233\) −6.22975 + 19.1732i −0.408124 + 1.25608i 0.510134 + 0.860095i \(0.329596\pi\)
−0.918258 + 0.395982i \(0.870404\pi\)
\(234\) −32.9694 + 23.9537i −2.15528 + 1.56590i
\(235\) −4.04528 2.93907i −0.263885 0.191724i
\(236\) 1.61586 + 4.97311i 0.105184 + 0.323722i
\(237\) 6.73245 + 20.7203i 0.437320 + 1.34593i
\(238\) −0.605971 0.440264i −0.0392793 0.0285381i
\(239\) −7.91099 + 5.74767i −0.511719 + 0.371786i −0.813475 0.581599i \(-0.802427\pi\)
0.301756 + 0.953385i \(0.402427\pi\)
\(240\) −0.985024 + 3.03159i −0.0635830 + 0.195688i
\(241\) −12.3008 −0.792366 −0.396183 0.918172i \(-0.629665\pi\)
−0.396183 + 0.918172i \(0.629665\pi\)
\(242\) −8.15101 + 7.38654i −0.523967 + 0.474825i
\(243\) 26.4969 1.69978
\(244\) 2.37448 7.30790i 0.152011 0.467841i
\(245\) 0.809017 0.587785i 0.0516862 0.0375522i
\(246\) −29.5168 21.4452i −1.88192 1.36729i
\(247\) 11.9405 + 36.7490i 0.759753 + 2.33828i
\(248\) −2.19696 6.76156i −0.139507 0.429359i
\(249\) −27.1428 19.7204i −1.72010 1.24973i
\(250\) 0.809017 0.587785i 0.0511667 0.0371748i
\(251\) −6.44117 + 19.8239i −0.406563 + 1.25127i 0.513020 + 0.858377i \(0.328527\pi\)
−0.919583 + 0.392896i \(0.871473\pi\)
\(252\) −7.16083 −0.451090
\(253\) −3.36202 + 12.6279i −0.211368 + 0.793912i
\(254\) −15.5292 −0.974388
\(255\) 0.737804 2.27073i 0.0462031 0.142199i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −6.09118 4.42550i −0.379957 0.276055i 0.381370 0.924422i \(-0.375452\pi\)
−0.761328 + 0.648367i \(0.775452\pi\)
\(258\) 2.29850 + 7.07406i 0.143098 + 0.440412i
\(259\) 3.58613 + 11.0370i 0.222832 + 0.685805i
\(260\) 4.60413 + 3.34510i 0.285536 + 0.207454i
\(261\) 33.2437 24.1529i 2.05773 1.49503i
\(262\) 0.296026 0.911073i 0.0182885 0.0562863i
\(263\) 3.27610 0.202013 0.101007 0.994886i \(-0.467794\pi\)
0.101007 + 0.994886i \(0.467794\pi\)
\(264\) 8.87570 + 5.74379i 0.546261 + 0.353506i
\(265\) 10.7671 0.661417
\(266\) −2.09812 + 6.45736i −0.128644 + 0.395926i
\(267\) −12.3904 + 9.00217i −0.758281 + 0.550924i
\(268\) 5.98339 + 4.34718i 0.365493 + 0.265547i
\(269\) 0.346940 + 1.06777i 0.0211533 + 0.0651031i 0.961076 0.276284i \(-0.0891032\pi\)
−0.939923 + 0.341387i \(0.889103\pi\)
\(270\) −4.09852 12.6139i −0.249428 0.767660i
\(271\) −7.94628 5.77331i −0.482702 0.350703i 0.319669 0.947529i \(-0.396428\pi\)
−0.802371 + 0.596826i \(0.796428\pi\)
\(272\) 0.605971 0.440264i 0.0367424 0.0266949i
\(273\) −5.60579 + 17.2529i −0.339278 + 1.04419i
\(274\) −4.66176 −0.281627
\(275\) −1.19352 3.09443i −0.0719720 0.186601i
\(276\) 12.5595 0.755991
\(277\) −0.275402 + 0.847599i −0.0165473 + 0.0509273i −0.958989 0.283443i \(-0.908523\pi\)
0.942442 + 0.334370i \(0.108523\pi\)
\(278\) −3.61168 + 2.62404i −0.216614 + 0.157379i
\(279\) 41.1871 + 29.9242i 2.46581 + 1.79151i
\(280\) 0.309017 + 0.951057i 0.0184673 + 0.0568365i
\(281\) 5.36365 + 16.5076i 0.319969 + 0.984763i 0.973661 + 0.228002i \(0.0732192\pi\)
−0.653692 + 0.756761i \(0.726781\pi\)
\(282\) 12.8948 + 9.36860i 0.767872 + 0.557892i
\(283\) 2.41840 1.75707i 0.143759 0.104447i −0.513581 0.858041i \(-0.671681\pi\)
0.657340 + 0.753594i \(0.271681\pi\)
\(284\) −0.177744 + 0.547039i −0.0105472 + 0.0324608i
\(285\) −21.6428 −1.28201
\(286\) 14.6496 11.9018i 0.866249 0.703771i
\(287\) −11.4458 −0.675625
\(288\) 2.21282 6.81035i 0.130392 0.401304i
\(289\) 13.2994 9.66258i 0.782318 0.568387i
\(290\) −4.64244 3.37293i −0.272613 0.198065i
\(291\) 16.0280 + 49.3292i 0.939580 + 2.89173i
\(292\) −3.88447 11.9552i −0.227321 0.699623i
\(293\) −14.2295 10.3384i −0.831299 0.603974i 0.0886278 0.996065i \(-0.471752\pi\)
−0.919926 + 0.392091i \(0.871752\pi\)
\(294\) −2.57883 + 1.87363i −0.150400 + 0.109272i
\(295\) −1.61586 + 4.97311i −0.0940791 + 0.289546i
\(296\) −11.6050 −0.674525
\(297\) −43.9246 + 2.37242i −2.54877 + 0.137662i
\(298\) 15.6247 0.905115
\(299\) 6.92914 21.3257i 0.400723 1.23330i
\(300\) −2.57883 + 1.87363i −0.148889 + 0.108174i
\(301\) 1.88780 + 1.37156i 0.108811 + 0.0790557i
\(302\) −5.49586 16.9145i −0.316251 0.973321i
\(303\) −6.28926 19.3563i −0.361308 1.11199i
\(304\) −5.49296 3.99087i −0.315043 0.228892i
\(305\) 6.21647 4.51653i 0.355954 0.258616i
\(306\) −1.65745 + 5.10110i −0.0947500 + 0.291610i
\(307\) 1.28791 0.0735047 0.0367524 0.999324i \(-0.488299\pi\)
0.0367524 + 0.999324i \(0.488299\pi\)
\(308\) 3.31180 0.178874i 0.188707 0.0101923i
\(309\) 7.42298 0.422279
\(310\) 2.19696 6.76156i 0.124779 0.384031i
\(311\) 0.0401539 0.0291735i 0.00227692 0.00165428i −0.586646 0.809843i \(-0.699552\pi\)
0.588923 + 0.808189i \(0.299552\pi\)
\(312\) −14.6762 10.6629i −0.830874 0.603665i
\(313\) −8.55290 26.3231i −0.483438 1.48787i −0.834230 0.551417i \(-0.814087\pi\)
0.350792 0.936454i \(-0.385913\pi\)
\(314\) −2.27913 7.01444i −0.128619 0.395848i
\(315\) −5.79323 4.20903i −0.326412 0.237152i
\(316\) −5.52947 + 4.01740i −0.311057 + 0.225996i
\(317\) 2.85312 8.78101i 0.160247 0.493191i −0.838407 0.545044i \(-0.816513\pi\)
0.998655 + 0.0518535i \(0.0165129\pi\)
\(318\) −34.3212 −1.92464
\(319\) −14.7715 + 12.0009i −0.827044 + 0.671919i
\(320\) −1.00000 −0.0559017
\(321\) 1.86047 5.72595i 0.103842 0.319591i
\(322\) 3.18761 2.31593i 0.177638 0.129062i
\(323\) 4.11434 + 2.98925i 0.228928 + 0.166326i
\(324\) 6.42600 + 19.7772i 0.357000 + 1.09873i
\(325\) 1.75862 + 5.41248i 0.0975508 + 0.300231i
\(326\) 8.46347 + 6.14907i 0.468749 + 0.340566i
\(327\) −20.0260 + 14.5497i −1.10744 + 0.804602i
\(328\) 3.53695 10.8856i 0.195295 0.601057i
\(329\) 5.00025 0.275673
\(330\) 3.80447 + 9.86383i 0.209429 + 0.542986i
\(331\) 16.5715 0.910851 0.455425 0.890274i \(-0.349487\pi\)
0.455425 + 0.890274i \(0.349487\pi\)
\(332\) 3.25248 10.0101i 0.178503 0.549376i
\(333\) 67.2303 48.8457i 3.68420 2.67673i
\(334\) 11.2395 + 8.16598i 0.614999 + 0.446823i
\(335\) 2.28545 + 7.03389i 0.124867 + 0.384303i
\(336\) −0.985024 3.03159i −0.0537375 0.165387i
\(337\) 5.23202 + 3.80128i 0.285006 + 0.207069i 0.721098 0.692833i \(-0.243638\pi\)
−0.436092 + 0.899902i \(0.643638\pi\)
\(338\) −15.6850 + 11.3958i −0.853151 + 0.619851i
\(339\) 7.63673 23.5034i 0.414770 1.27653i
\(340\) 0.749022 0.0406214
\(341\) −19.7960 12.8107i −1.07202 0.693741i
\(342\) 48.6196 2.62905
\(343\) −0.309017 + 0.951057i −0.0166853 + 0.0513522i
\(344\) −1.88780 + 1.37156i −0.101783 + 0.0739498i
\(345\) 10.1608 + 7.38227i 0.547041 + 0.397448i
\(346\) 3.02704 + 9.31627i 0.162735 + 0.500846i
\(347\) −9.13353 28.1101i −0.490313 1.50903i −0.824135 0.566393i \(-0.808338\pi\)
0.333822 0.942636i \(-0.391662\pi\)
\(348\) 14.7983 + 10.7516i 0.793270 + 0.576344i
\(349\) 20.5554 14.9344i 1.10031 0.799419i 0.119197 0.992871i \(-0.461968\pi\)
0.981110 + 0.193451i \(0.0619681\pi\)
\(350\) −0.309017 + 0.951057i −0.0165177 + 0.0508361i
\(351\) 75.4804 4.02885
\(352\) −0.853282 + 3.20498i −0.0454801 + 0.170826i
\(353\) 13.7939 0.734174 0.367087 0.930187i \(-0.380355\pi\)
0.367087 + 0.930187i \(0.380355\pi\)
\(354\) 5.15073 15.8523i 0.273758 0.842541i
\(355\) −0.465339 + 0.338089i −0.0246976 + 0.0179439i
\(356\) −3.88706 2.82412i −0.206014 0.149678i
\(357\) 0.737804 + 2.27073i 0.0390487 + 0.120180i
\(358\) 0.208909 + 0.642955i 0.0110412 + 0.0339812i
\(359\) −18.4280 13.3887i −0.972594 0.706631i −0.0165528 0.999863i \(-0.505269\pi\)
−0.956041 + 0.293232i \(0.905269\pi\)
\(360\) 5.79323 4.20903i 0.305330 0.221835i
\(361\) 8.37424 25.7733i 0.440749 1.35649i
\(362\) −5.50028 −0.289089
\(363\) 34.8597 3.77664i 1.82966 0.198222i
\(364\) −5.69102 −0.298291
\(365\) 3.88447 11.9552i 0.203322 0.625762i
\(366\) −19.8157 + 14.3969i −1.03578 + 0.752539i
\(367\) 7.86279 + 5.71265i 0.410435 + 0.298198i 0.773778 0.633457i \(-0.218365\pi\)
−0.363343 + 0.931655i \(0.618365\pi\)
\(368\) 1.21756 + 3.74725i 0.0634695 + 0.195339i
\(369\) 25.3275 + 77.9500i 1.31850 + 4.05791i
\(370\) −9.38862 6.82123i −0.488091 0.354619i
\(371\) −8.71076 + 6.32874i −0.452240 + 0.328572i
\(372\) −7.00305 + 21.5532i −0.363091 + 1.11748i
\(373\) −6.44329 −0.333621 −0.166811 0.985989i \(-0.553347\pi\)
−0.166811 + 0.985989i \(0.553347\pi\)
\(374\) 0.639127 2.40060i 0.0330485 0.124132i
\(375\) −3.18761 −0.164607
\(376\) −1.54516 + 4.75552i −0.0796856 + 0.245247i
\(377\) 26.4202 19.1954i 1.36071 0.988613i
\(378\) 10.7301 + 7.79584i 0.551894 + 0.400975i
\(379\) −8.90341 27.4019i −0.457337 1.40754i −0.868369 0.495918i \(-0.834831\pi\)
0.411032 0.911621i \(-0.365169\pi\)
\(380\) −2.09812 6.45736i −0.107631 0.331256i
\(381\) 40.0471 + 29.0959i 2.05167 + 1.49063i
\(382\) 10.1906 7.40390i 0.521396 0.378817i
\(383\) 5.93814 18.2757i 0.303425 0.933845i −0.676836 0.736134i \(-0.736649\pi\)
0.980260 0.197711i \(-0.0633508\pi\)
\(384\) 3.18761 0.162667
\(385\) 2.78444 + 1.80191i 0.141908 + 0.0918340i
\(386\) −2.47246 −0.125845
\(387\) 5.16349 15.8916i 0.262475 0.807815i
\(388\) −13.1641 + 9.56427i −0.668306 + 0.485552i
\(389\) 0.945541 + 0.686976i 0.0479409 + 0.0348311i 0.611498 0.791246i \(-0.290567\pi\)
−0.563557 + 0.826077i \(0.690567\pi\)
\(390\) −5.60579 17.2529i −0.283860 0.873632i
\(391\) −0.911976 2.80677i −0.0461206 0.141945i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) −2.47041 + 1.79486i −0.124616 + 0.0905386i
\(394\) 2.75374 8.47514i 0.138731 0.426971i
\(395\) −6.83481 −0.343896
\(396\) −8.54660 22.1587i −0.429483 1.11352i
\(397\) −34.1835 −1.71562 −0.857811 0.513966i \(-0.828176\pi\)
−0.857811 + 0.513966i \(0.828176\pi\)
\(398\) 8.17479 25.1594i 0.409765 1.26113i
\(399\) 17.5094 12.7213i 0.876565 0.636862i
\(400\) −0.809017 0.587785i −0.0404508 0.0293893i
\(401\) 7.43016 + 22.8677i 0.371044 + 1.14196i 0.946109 + 0.323849i \(0.104977\pi\)
−0.575064 + 0.818108i \(0.695023\pi\)
\(402\) −7.28511 22.4213i −0.363348 1.11827i
\(403\) 32.7332 + 23.7821i 1.63056 + 1.18467i
\(404\) 5.16547 3.75294i 0.256992 0.186716i
\(405\) −6.42600 + 19.7772i −0.319310 + 0.982736i
\(406\) 5.73837 0.284790
\(407\) −29.8731 + 24.2699i −1.48075 + 1.20302i
\(408\) −2.38759 −0.118203
\(409\) −1.68752 + 5.19365i −0.0834424 + 0.256809i −0.984070 0.177783i \(-0.943107\pi\)
0.900627 + 0.434592i \(0.143107\pi\)
\(410\) 9.25986 6.72768i 0.457312 0.332256i
\(411\) 12.0219 + 8.73440i 0.592995 + 0.430836i
\(412\) 0.719608 + 2.21473i 0.0354526 + 0.109112i
\(413\) −1.61586 4.97311i −0.0795113 0.244711i
\(414\) −22.8259 16.5840i −1.12183 0.815058i
\(415\) 8.51510 6.18659i 0.417990 0.303688i
\(416\) 1.75862 5.41248i 0.0862235 0.265369i
\(417\) 14.2304 0.696864
\(418\) −22.4860 + 1.21450i −1.09983 + 0.0594029i
\(419\) −37.5281 −1.83337 −0.916684 0.399613i \(-0.869145\pi\)
−0.916684 + 0.399613i \(0.869145\pi\)
\(420\) 0.985024 3.03159i 0.0480643 0.147927i
\(421\) −7.56720 + 5.49789i −0.368803 + 0.267951i −0.756714 0.653746i \(-0.773197\pi\)
0.387912 + 0.921697i \(0.373197\pi\)
\(422\) 6.70842 + 4.87395i 0.326561 + 0.237260i
\(423\) −11.0646 34.0534i −0.537981 1.65573i
\(424\) −3.32721 10.2401i −0.161584 0.497304i
\(425\) 0.605971 + 0.440264i 0.0293939 + 0.0213559i
\(426\) 1.48332 1.07769i 0.0718670 0.0522144i
\(427\) −2.37448 + 7.30790i −0.114909 + 0.353654i
\(428\) 1.88876 0.0912967
\(429\) −60.0784 + 3.24491i −2.90061 + 0.156666i
\(430\) −2.33345 −0.112529
\(431\) −1.57605 + 4.85057i −0.0759155 + 0.233644i −0.981812 0.189855i \(-0.939198\pi\)
0.905897 + 0.423499i \(0.139198\pi\)
\(432\) −10.7301 + 7.79584i −0.516250 + 0.375078i
\(433\) 12.1991 + 8.86320i 0.586254 + 0.425938i 0.840973 0.541077i \(-0.181983\pi\)
−0.254720 + 0.967015i \(0.581983\pi\)
\(434\) 2.19696 + 6.76156i 0.105458 + 0.324565i
\(435\) 5.65243 + 17.3964i 0.271013 + 0.834093i
\(436\) −6.28246 4.56447i −0.300875 0.218599i
\(437\) −21.6428 + 15.7244i −1.03531 + 0.752200i
\(438\) −12.3821 + 38.1083i −0.591642 + 1.82089i
\(439\) −8.35774 −0.398893 −0.199447 0.979909i \(-0.563914\pi\)
−0.199447 + 0.979909i \(0.563914\pi\)
\(440\) −2.57416 + 2.09134i −0.122718 + 0.0997006i
\(441\) 7.16083 0.340992
\(442\) −1.31725 + 4.05407i −0.0626550 + 0.192832i
\(443\) −5.40848 + 3.92949i −0.256964 + 0.186696i −0.708808 0.705402i \(-0.750767\pi\)
0.451843 + 0.892097i \(0.350767\pi\)
\(444\) 29.9272 + 21.7434i 1.42028 + 1.03190i
\(445\) −1.48473 4.56952i −0.0703828 0.216616i
\(446\) 0.120706 + 0.371493i 0.00571557 + 0.0175907i
\(447\) −40.2934 29.2749i −1.90581 1.38465i
\(448\) 0.809017 0.587785i 0.0382225 0.0277702i
\(449\) −2.46350 + 7.58187i −0.116260 + 0.357811i −0.992208 0.124595i \(-0.960237\pi\)
0.875948 + 0.482406i \(0.160237\pi\)
\(450\) 7.16083 0.337565
\(451\) −13.6608 35.4183i −0.643263 1.66778i
\(452\) 7.75283 0.364663
\(453\) −17.5186 + 53.9168i −0.823097 + 2.53323i
\(454\) 3.97833 2.89042i 0.186712 0.135654i
\(455\) −4.60413 3.34510i −0.215845 0.156821i
\(456\) 6.68799 + 20.5835i 0.313194 + 0.963911i
\(457\) −0.723744 2.22746i −0.0338553 0.104196i 0.932701 0.360651i \(-0.117445\pi\)
−0.966556 + 0.256455i \(0.917445\pi\)
\(458\) 7.42969 + 5.39798i 0.347166 + 0.252231i
\(459\) 8.03704 5.83925i 0.375137 0.272553i
\(460\) −1.21756 + 3.74725i −0.0567689 + 0.174717i
\(461\) −0.312762 −0.0145668 −0.00728340 0.999973i \(-0.502318\pi\)
−0.00728340 + 0.999973i \(0.502318\pi\)
\(462\) −8.87570 5.74379i −0.412935 0.267225i
\(463\) 15.8769 0.737863 0.368931 0.929457i \(-0.379724\pi\)
0.368931 + 0.929457i \(0.379724\pi\)
\(464\) −1.77325 + 5.45751i −0.0823212 + 0.253359i
\(465\) −18.3342 + 13.3206i −0.850230 + 0.617728i
\(466\) 16.3097 + 11.8497i 0.755532 + 0.548926i
\(467\) −0.239299 0.736485i −0.0110734 0.0340805i 0.945367 0.326008i \(-0.105704\pi\)
−0.956441 + 0.291927i \(0.905704\pi\)
\(468\) 12.5932 + 38.7579i 0.582120 + 1.79158i
\(469\) −5.98339 4.34718i −0.276287 0.200734i
\(470\) −4.04528 + 2.93907i −0.186595 + 0.135569i
\(471\) −7.26497 + 22.3593i −0.334752 + 1.03026i
\(472\) 5.22904 0.240686
\(473\) −1.99109 + 7.47865i −0.0915503 + 0.343869i
\(474\) 21.7867 1.00069
\(475\) 2.09812 6.45736i 0.0962685 0.296284i
\(476\) −0.605971 + 0.440264i −0.0277746 + 0.0201795i
\(477\) 62.3762 + 45.3190i 2.85601 + 2.07501i
\(478\) 3.02173 + 9.29993i 0.138211 + 0.425369i
\(479\) 9.38754 + 28.8919i 0.428927 + 1.32010i 0.899183 + 0.437573i \(0.144162\pi\)
−0.470256 + 0.882530i \(0.655838\pi\)
\(480\) 2.57883 + 1.87363i 0.117707 + 0.0855190i
\(481\) 53.4308 38.8198i 2.43624 1.77003i
\(482\) −3.80116 + 11.6988i −0.173138 + 0.532865i
\(483\) −12.5595 −0.571476
\(484\) 4.50621 + 10.0346i 0.204828 + 0.456120i
\(485\) −16.2717 −0.738861
\(486\) 8.18800 25.2001i 0.371415 1.14310i
\(487\) −7.63477 + 5.54699i −0.345965 + 0.251358i −0.747174 0.664628i \(-0.768590\pi\)
0.401210 + 0.915986i \(0.368590\pi\)
\(488\) −6.21647 4.51653i −0.281407 0.204454i
\(489\) −10.3048 31.7148i −0.465997 1.43419i
\(490\) −0.309017 0.951057i −0.0139600 0.0429644i
\(491\) −23.2292 16.8770i −1.04832 0.761648i −0.0764267 0.997075i \(-0.524351\pi\)
−0.971892 + 0.235427i \(0.924351\pi\)
\(492\) −29.5168 + 21.4452i −1.33072 + 0.966824i
\(493\) 1.32820 4.08779i 0.0598193 0.184105i
\(494\) 38.6401 1.73850
\(495\) 6.11021 22.9503i 0.274633 1.03154i
\(496\) −7.10952 −0.319227
\(497\) 0.177744 0.547039i 0.00797290 0.0245381i
\(498\) −27.1428 + 19.7204i −1.21630 + 0.883692i
\(499\) −22.3776 16.2582i −1.00176 0.727819i −0.0392927 0.999228i \(-0.512510\pi\)
−0.962464 + 0.271409i \(0.912510\pi\)
\(500\) −0.309017 0.951057i −0.0138197 0.0425325i
\(501\) −13.6847 42.1173i −0.611389 1.88166i
\(502\) 16.8632 + 12.2518i 0.752641 + 0.546826i
\(503\) 1.33822 0.972272i 0.0596682 0.0433515i −0.557551 0.830142i \(-0.688259\pi\)
0.617220 + 0.786791i \(0.288259\pi\)
\(504\) −2.21282 + 6.81035i −0.0985667 + 0.303357i
\(505\) 6.38488 0.284123
\(506\) 10.9710 + 7.09971i 0.487719 + 0.315621i
\(507\) 61.8004 2.74465
\(508\) −4.79878 + 14.7691i −0.212912 + 0.655274i
\(509\) −8.92627 + 6.48532i −0.395650 + 0.287457i −0.767767 0.640729i \(-0.778632\pi\)
0.372117 + 0.928186i \(0.378632\pi\)
\(510\) −1.93160 1.40339i −0.0855325 0.0621430i
\(511\) 3.88447 + 11.9552i 0.171839 + 0.528865i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −72.8535 52.9312i −3.21656 2.33697i
\(514\) −6.09118 + 4.42550i −0.268670 + 0.195200i
\(515\) −0.719608 + 2.21473i −0.0317097 + 0.0975925i
\(516\) 7.43810 0.327444
\(517\) 5.96790 + 15.4729i 0.262468 + 0.680498i
\(518\) 11.6050 0.509893
\(519\) 9.64901 29.6966i 0.423545 1.30354i
\(520\) 4.60413 3.34510i 0.201905 0.146692i
\(521\) −15.5724 11.3140i −0.682239 0.495676i 0.191861 0.981422i \(-0.438548\pi\)
−0.874100 + 0.485746i \(0.838548\pi\)
\(522\) −12.6980 39.0803i −0.555774 1.71050i
\(523\) 1.26555 + 3.89496i 0.0553385 + 0.170314i 0.974906 0.222619i \(-0.0714604\pi\)
−0.919567 + 0.392933i \(0.871460\pi\)
\(524\) −0.775005 0.563074i −0.0338563 0.0245980i
\(525\) 2.57883 1.87363i 0.112549 0.0817718i
\(526\) 1.01237 3.11576i 0.0441415 0.135853i
\(527\) 5.32519 0.231969
\(528\) 8.20541 6.66636i 0.357095 0.290116i
\(529\) −7.47564 −0.325028
\(530\) 3.32721 10.2401i 0.144525 0.444802i
\(531\) −30.2930 + 22.0092i −1.31461 + 0.955117i
\(532\) 5.49296 + 3.99087i 0.238150 + 0.173026i
\(533\) 20.1289 + 61.9502i 0.871878 + 2.68336i
\(534\) 4.73272 + 14.5658i 0.204805 + 0.630324i
\(535\) 1.52804 + 1.11019i 0.0660629 + 0.0479975i
\(536\) 5.98339 4.34718i 0.258443 0.187770i
\(537\) 0.665918 2.04949i 0.0287365 0.0884418i
\(538\) 1.12272 0.0484039
\(539\) −3.31180 + 0.178874i −0.142649 + 0.00770465i
\(540\) −13.2631 −0.570752
\(541\) −3.72769 + 11.4727i −0.160266 + 0.493248i −0.998656 0.0518223i \(-0.983497\pi\)
0.838390 + 0.545070i \(0.183497\pi\)
\(542\) −7.94628 + 5.77331i −0.341322 + 0.247985i
\(543\) 14.1843 + 10.3055i 0.608706 + 0.442251i
\(544\) −0.231460 0.712362i −0.00992378 0.0305423i
\(545\) −2.39968 7.38547i −0.102791 0.316359i
\(546\) 14.6762 + 10.6629i 0.628082 + 0.456328i
\(547\) 4.60958 3.34906i 0.197092 0.143195i −0.484863 0.874590i \(-0.661130\pi\)
0.681954 + 0.731395i \(0.261130\pi\)
\(548\) −1.44056 + 4.43359i −0.0615378 + 0.189394i
\(549\) 55.0237 2.34835
\(550\) −3.31180 + 0.178874i −0.141216 + 0.00762722i
\(551\) −38.9616 −1.65982
\(552\) 3.88109 11.9448i 0.165190 0.508403i
\(553\) 5.52947 4.01740i 0.235137 0.170837i
\(554\) 0.721011 + 0.523845i 0.0306328 + 0.0222560i
\(555\) 11.4312 + 35.1816i 0.485227 + 1.49337i
\(556\) 1.37954 + 4.24578i 0.0585055 + 0.180061i
\(557\) −7.18236 5.21829i −0.304327 0.221106i 0.425132 0.905131i \(-0.360228\pi\)
−0.729458 + 0.684025i \(0.760228\pi\)
\(558\) 41.1871 29.9242i 1.74359 1.26679i
\(559\) 4.10365 12.6297i 0.173566 0.534181i
\(560\) 1.00000 0.0422577
\(561\) −6.14603 + 4.99325i −0.259486 + 0.210815i
\(562\) 17.3571 0.732167
\(563\) 6.21989 19.1429i 0.262137 0.806775i −0.730202 0.683231i \(-0.760574\pi\)
0.992339 0.123544i \(-0.0394260\pi\)
\(564\) 12.8948 9.36860i 0.542968 0.394489i
\(565\) 6.27217 + 4.55700i 0.263872 + 0.191714i
\(566\) −0.923748 2.84300i −0.0388280 0.119500i
\(567\) −6.42600 19.7772i −0.269867 0.830564i
\(568\) 0.465339 + 0.338089i 0.0195252 + 0.0141859i
\(569\) −20.0925 + 14.5980i −0.842321 + 0.611982i −0.923018 0.384757i \(-0.874285\pi\)
0.0806973 + 0.996739i \(0.474285\pi\)
\(570\) −6.68799 + 20.5835i −0.280129 + 0.862148i
\(571\) −28.6955 −1.20087 −0.600435 0.799674i \(-0.705006\pi\)
−0.600435 + 0.799674i \(0.705006\pi\)
\(572\) −6.79235 17.6105i −0.284003 0.736331i
\(573\) −40.1520 −1.67737
\(574\) −3.53695 + 10.8856i −0.147629 + 0.454357i
\(575\) −3.18761 + 2.31593i −0.132932 + 0.0965810i
\(576\) −5.79323 4.20903i −0.241385 0.175376i
\(577\) −4.75432 14.6323i −0.197925 0.609150i −0.999930 0.0118330i \(-0.996233\pi\)
0.802005 0.597317i \(-0.203767\pi\)
\(578\) −5.07992 15.6344i −0.211297 0.650305i
\(579\) 6.37604 + 4.63246i 0.264979 + 0.192519i
\(580\) −4.64244 + 3.37293i −0.192767 + 0.140053i
\(581\) −3.25248 + 10.0101i −0.134936 + 0.415289i
\(582\) 51.8678 2.14999
\(583\) −29.9803 19.4014i −1.24166 0.803522i
\(584\) −12.5704 −0.520167
\(585\) −12.5932 + 38.7579i −0.520664 + 1.60244i
\(586\) −14.2295 + 10.3384i −0.587817 + 0.427074i
\(587\) 29.2682 + 21.2646i 1.20803 + 0.877685i 0.995050 0.0993723i \(-0.0316835\pi\)
0.212979 + 0.977057i \(0.431683\pi\)
\(588\) 0.985024 + 3.03159i 0.0406217 + 0.125021i
\(589\) −14.9167 45.9087i −0.614630 1.89164i
\(590\) 4.23038 + 3.07355i 0.174162 + 0.126536i
\(591\) −22.9807 + 16.6964i −0.945298 + 0.686799i
\(592\) −3.58613 + 11.0370i −0.147389 + 0.453617i
\(593\) 22.6239 0.929052 0.464526 0.885560i \(-0.346225\pi\)
0.464526 + 0.885560i \(0.346225\pi\)
\(594\) −11.3171 + 42.5079i −0.464348 + 1.74412i
\(595\) −0.749022 −0.0307069
\(596\) 4.82830 14.8600i 0.197775 0.608689i
\(597\) −68.2208 + 49.5653i −2.79209 + 2.02857i
\(598\) −18.1407 13.1800i −0.741830 0.538971i
\(599\) 0.906849 + 2.79099i 0.0370528 + 0.114037i 0.967872 0.251443i \(-0.0809050\pi\)
−0.930819 + 0.365480i \(0.880905\pi\)
\(600\) 0.985024 + 3.03159i 0.0402134 + 0.123764i
\(601\) 26.9466 + 19.5778i 1.09917 + 0.798597i 0.980925 0.194387i \(-0.0622718\pi\)
0.118249 + 0.992984i \(0.462272\pi\)
\(602\) 1.88780 1.37156i 0.0769409 0.0559008i
\(603\) −16.3657 + 50.3685i −0.666463 + 2.05116i
\(604\) −17.7850 −0.723660
\(605\) −2.25261 + 10.7669i −0.0915816 + 0.437736i
\(606\) −20.3525 −0.826762
\(607\) 8.63117 26.5640i 0.350328 1.07820i −0.608341 0.793676i \(-0.708165\pi\)
0.958669 0.284524i \(-0.0918355\pi\)
\(608\) −5.49296 + 3.99087i −0.222769 + 0.161851i
\(609\) −14.7983 10.7516i −0.599655 0.435675i
\(610\) −2.37448 7.30790i −0.0961399 0.295888i
\(611\) −8.79354 27.0637i −0.355749 1.09488i
\(612\) 4.33925 + 3.15265i 0.175404 + 0.127438i
\(613\) −10.7580 + 7.81616i −0.434512 + 0.315692i −0.783451 0.621454i \(-0.786542\pi\)
0.348938 + 0.937146i \(0.386542\pi\)
\(614\) 0.397985 1.22487i 0.0160614 0.0494318i
\(615\) −36.4847 −1.47121
\(616\) 0.853282 3.20498i 0.0343797 0.129132i
\(617\) −17.0581 −0.686735 −0.343368 0.939201i \(-0.611568\pi\)
−0.343368 + 0.939201i \(0.611568\pi\)
\(618\) 2.29383 7.05968i 0.0922713 0.283982i
\(619\) 23.4976 17.0720i 0.944447 0.686181i −0.00504022 0.999987i \(-0.501604\pi\)
0.949487 + 0.313807i \(0.101604\pi\)
\(620\) −5.75173 4.17887i −0.230995 0.167828i
\(621\) 16.1485 + 49.7001i 0.648019 + 1.99440i
\(622\) −0.0153374 0.0472038i −0.000614975 0.00189270i
\(623\) 3.88706 + 2.82412i 0.155732 + 0.113146i
\(624\) −14.6762 + 10.6629i −0.587517 + 0.426856i
\(625\) 0.309017 0.951057i 0.0123607 0.0380423i
\(626\) −27.6778 −1.10623
\(627\) 60.2630 + 38.9984i 2.40667 + 1.55745i
\(628\) −7.37542 −0.294311
\(629\) 2.68609 8.26694i 0.107101 0.329624i
\(630\) −5.79323 + 4.20903i −0.230808 + 0.167692i
\(631\) −25.9180 18.8305i −1.03178 0.749632i −0.0631161 0.998006i \(-0.520104\pi\)
−0.968664 + 0.248374i \(0.920104\pi\)
\(632\) 2.11207 + 6.50029i 0.0840137 + 0.258568i
\(633\) −8.16788 25.1381i −0.324644 0.999151i
\(634\) −7.46957 5.42696i −0.296655 0.215532i
\(635\) −12.5634 + 9.12783i −0.498562 + 0.362227i
\(636\) −10.6058 + 32.6414i −0.420549 + 1.29432i
\(637\) 5.69102 0.225486
\(638\) 6.84886 + 17.7570i 0.271149 + 0.703006i
\(639\) −4.11884 −0.162939
\(640\) −0.309017 + 0.951057i −0.0122150 + 0.0375938i
\(641\) −6.27336 + 4.55787i −0.247783 + 0.180025i −0.704744 0.709462i \(-0.748938\pi\)
0.456961 + 0.889487i \(0.348938\pi\)
\(642\) −4.87078 3.53883i −0.192235 0.139667i
\(643\) 7.48141 + 23.0254i 0.295038 + 0.908034i 0.983209 + 0.182485i \(0.0584141\pi\)
−0.688171 + 0.725549i \(0.741586\pi\)
\(644\) −1.21756 3.74725i −0.0479785 0.147663i
\(645\) 6.01755 + 4.37201i 0.236941 + 0.172148i
\(646\) 4.11434 2.98925i 0.161877 0.117610i
\(647\) −0.266227 + 0.819364i −0.0104665 + 0.0322125i −0.956153 0.292866i \(-0.905391\pi\)
0.945687 + 0.325079i \(0.105391\pi\)
\(648\) 20.7950 0.816903
\(649\) 13.4604 10.9357i 0.528366 0.429263i
\(650\) 5.69102 0.223220
\(651\) 7.00305 21.5532i 0.274471 0.844736i
\(652\) 8.46347 6.14907i 0.331455 0.240816i
\(653\) 17.5739 + 12.7682i 0.687720 + 0.499657i 0.875910 0.482475i \(-0.160262\pi\)
−0.188190 + 0.982133i \(0.560262\pi\)
\(654\) 7.64925 + 23.5420i 0.299109 + 0.920564i
\(655\) −0.296026 0.911073i −0.0115667 0.0355986i
\(656\) −9.25986 6.72768i −0.361537 0.262672i
\(657\) 72.8232 52.9092i 2.84110 2.06418i
\(658\) 1.54516 4.75552i 0.0602367 0.185389i
\(659\) −35.0148 −1.36398 −0.681991 0.731360i \(-0.738886\pi\)
−0.681991 + 0.731360i \(0.738886\pi\)
\(660\) 10.5567 0.570180i 0.410919 0.0221942i
\(661\) 21.6301 0.841315 0.420657 0.907220i \(-0.361799\pi\)
0.420657 + 0.907220i \(0.361799\pi\)
\(662\) 5.12087 15.7604i 0.199028 0.612546i
\(663\) 10.9928 7.98671i 0.426923 0.310178i
\(664\) −8.51510 6.18659i −0.330450 0.240086i
\(665\) 2.09812 + 6.45736i 0.0813617 + 0.250406i
\(666\) −25.6797 79.0339i −0.995068 3.06250i
\(667\) 18.2916 + 13.2897i 0.708255 + 0.514578i
\(668\) 11.2395 8.16598i 0.434870 0.315951i
\(669\) 0.384762 1.18417i 0.0148757 0.0457828i
\(670\) 7.39587 0.285727
\(671\) −25.4478 + 1.37447i −0.982401 + 0.0530607i
\(672\) −3.18761 −0.122965
\(673\) −10.6531 + 32.7868i −0.410646 + 1.26384i 0.505441 + 0.862861i \(0.331330\pi\)
−0.916087 + 0.400979i \(0.868670\pi\)
\(674\) 5.23202 3.80128i 0.201530 0.146420i
\(675\) −10.7301 7.79584i −0.413000 0.300062i
\(676\) 5.99114 + 18.4388i 0.230428 + 0.709185i
\(677\) −4.18147 12.8692i −0.160707 0.494605i 0.837987 0.545689i \(-0.183732\pi\)
−0.998694 + 0.0510847i \(0.983732\pi\)
\(678\) −19.9932 14.5259i −0.767835 0.557865i
\(679\) 13.1641 9.56427i 0.505192 0.367043i
\(680\) 0.231460 0.712362i 0.00887610 0.0273178i
\(681\) −15.6750 −0.600667
\(682\) −18.3011 + 14.8684i −0.700784 + 0.569341i
\(683\) 19.6188 0.750694 0.375347 0.926884i \(-0.377524\pi\)
0.375347 + 0.926884i \(0.377524\pi\)
\(684\) 15.0243 46.2400i 0.574468 1.76803i
\(685\) −3.77144 + 2.74011i −0.144099 + 0.104694i
\(686\) 0.809017 + 0.587785i 0.0308884 + 0.0224417i
\(687\) −9.04607 27.8409i −0.345129 1.06220i
\(688\) 0.721074 + 2.21924i 0.0274907 + 0.0846077i
\(689\) 49.5731 + 36.0170i 1.88858 + 1.37214i
\(690\) 10.1608 7.38227i 0.386816 0.281038i
\(691\) −8.47855 + 26.0943i −0.322539 + 0.992674i 0.650000 + 0.759934i \(0.274769\pi\)
−0.972539 + 0.232740i \(0.925231\pi\)
\(692\) 9.79571 0.372377
\(693\) 8.54660 + 22.1587i 0.324658 + 0.841739i
\(694\) −29.5567 −1.12196
\(695\) −1.37954 + 4.24578i −0.0523289 + 0.161052i
\(696\) 14.7983 10.7516i 0.560926 0.407537i
\(697\) 6.93583 + 5.03918i 0.262713 + 0.190872i
\(698\) −7.85147 24.1643i −0.297183 0.914634i
\(699\) −19.8580 61.1165i −0.751097 2.31164i
\(700\) 0.809017 + 0.587785i 0.0305780 + 0.0222162i
\(701\) 26.0864 18.9529i 0.985270 0.715840i 0.0263897 0.999652i \(-0.491599\pi\)
0.958880 + 0.283811i \(0.0915989\pi\)
\(702\) 23.3247 71.7862i 0.880336 2.70939i
\(703\) −78.7939 −2.97177
\(704\) 2.78444 + 1.80191i 0.104943 + 0.0679122i
\(705\) 15.9388 0.600290
\(706\) 4.26254 13.1188i 0.160423 0.493731i
\(707\) −5.16547 + 3.75294i −0.194268 + 0.141144i
\(708\) −13.4848 9.79727i −0.506789 0.368204i
\(709\) 6.44254 + 19.8281i 0.241955 + 0.744660i 0.996122 + 0.0879784i \(0.0280406\pi\)
−0.754168 + 0.656682i \(0.771959\pi\)
\(710\) 0.177744 + 0.547039i 0.00667061 + 0.0205300i
\(711\) −39.5956 28.7679i −1.48495 1.07888i
\(712\) −3.88706 + 2.82412i −0.145674 + 0.105838i
\(713\) −8.65625 + 26.6412i −0.324179 + 0.997721i
\(714\) 2.38759 0.0893531
\(715\) 4.85605 18.2396i 0.181606 0.682123i
\(716\) 0.676043 0.0252649
\(717\) 9.63208 29.6445i 0.359717 1.10709i
\(718\) −18.4280 + 13.3887i −0.687728 + 0.499664i
\(719\) 32.6186 + 23.6988i 1.21647 + 0.883815i 0.995802 0.0915342i \(-0.0291771\pi\)
0.220666 + 0.975350i \(0.429177\pi\)
\(720\) −2.21282 6.81035i −0.0824668 0.253807i
\(721\) −0.719608 2.21473i −0.0267996 0.0824807i
\(722\) −21.9240 15.9287i −0.815928 0.592807i
\(723\) 31.7217 23.0472i 1.17974 0.857133i
\(724\) −1.69968 + 5.23108i −0.0631682 + 0.194412i
\(725\) −5.73837 −0.213118
\(726\) 7.18043 34.3206i 0.266491 1.27376i
\(727\) 39.1899 1.45347 0.726736 0.686917i \(-0.241036\pi\)
0.726736 + 0.686917i \(0.241036\pi\)
\(728\) −1.75862 + 5.41248i −0.0651789 + 0.200600i
\(729\) −17.8605 + 12.9764i −0.661501 + 0.480608i
\(730\) −10.1697 7.38869i −0.376396 0.273468i
\(731\) −0.540100 1.66226i −0.0199763 0.0614808i
\(732\) 7.56891 + 23.2947i 0.279755 + 0.860997i
\(733\) 19.7462 + 14.3465i 0.729344 + 0.529899i 0.889356 0.457216i \(-0.151153\pi\)
−0.160012 + 0.987115i \(0.551153\pi\)
\(734\) 7.86279 5.71265i 0.290221 0.210858i
\(735\) −0.985024 + 3.03159i −0.0363332 + 0.111822i
\(736\) 3.94010 0.145234
\(737\) 6.31077 23.7036i 0.232460 0.873135i
\(738\) 81.9615 3.01704
\(739\) −12.8334 + 39.4973i −0.472086 + 1.45293i 0.377762 + 0.925903i \(0.376694\pi\)
−0.849848 + 0.527029i \(0.823306\pi\)
\(740\) −9.38862 + 6.82123i −0.345133 + 0.250753i
\(741\) −99.6462 72.3972i −3.66060 2.65958i
\(742\) 3.32721 + 10.2401i 0.122146 + 0.375926i
\(743\) −6.98457 21.4963i −0.256239 0.788622i −0.993583 0.113105i \(-0.963920\pi\)
0.737344 0.675517i \(-0.236080\pi\)
\(744\) 18.3342 + 13.3206i 0.672166 + 0.488357i
\(745\) 12.6407 9.18398i 0.463118 0.336475i
\(746\) −1.99109 + 6.12794i −0.0728989 + 0.224360i
\(747\) 75.3695 2.75763
\(748\) −2.08561 1.34967i −0.0762573 0.0493489i
\(749\) −1.88876 −0.0690138
\(750\) −0.985024 + 3.03159i −0.0359680 + 0.110698i
\(751\) 18.4296 13.3899i 0.672505 0.488604i −0.198358 0.980130i \(-0.563561\pi\)
0.870863 + 0.491526i \(0.163561\pi\)
\(752\) 4.04528 + 2.93907i 0.147516 + 0.107177i
\(753\) −20.5319 63.1907i −0.748224 2.30280i
\(754\) −10.0916 31.0588i −0.367515 1.13110i
\(755\) −14.3883 10.4537i −0.523645 0.380451i
\(756\) 10.7301 7.79584i 0.390248 0.283532i
\(757\) 2.09304 6.44172i 0.0760729 0.234128i −0.905788 0.423731i \(-0.860720\pi\)
0.981861 + 0.189603i \(0.0607201\pi\)
\(758\) −28.8120 −1.04650
\(759\) −14.9900 38.8644i −0.544102 1.41069i
\(760\) −6.78967 −0.246287
\(761\) 2.23888 6.89055i 0.0811592 0.249782i −0.902241 0.431232i \(-0.858079\pi\)
0.983400 + 0.181450i \(0.0580790\pi\)
\(762\) 40.0471 29.0959i 1.45075 1.05403i
\(763\) 6.28246 + 4.56447i 0.227440 + 0.165245i
\(764\) −3.89246 11.9798i −0.140824 0.433413i
\(765\) 1.65745 + 5.10110i 0.0599252 + 0.184431i
\(766\) −15.5462 11.2950i −0.561709 0.408105i
\(767\) −24.0752 + 17.4916i −0.869304 + 0.631587i
\(768\) 0.985024 3.03159i 0.0355440 0.109393i
\(769\) −1.45679 −0.0525333 −0.0262667 0.999655i \(-0.508362\pi\)
−0.0262667 + 0.999655i \(0.508362\pi\)
\(770\) 2.57416 2.09134i 0.0927663 0.0753666i
\(771\) 23.9998 0.864333
\(772\) −0.764031 + 2.35145i −0.0274981 + 0.0846304i
\(773\) 20.5899 14.9594i 0.740566 0.538053i −0.152322 0.988331i \(-0.548675\pi\)
0.892888 + 0.450278i \(0.148675\pi\)
\(774\) −13.5182 9.82154i