Properties

Label 25.2.e.a.9.1
Level $25$
Weight $2$
Character 25.9
Analytic conductor $0.200$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 25 = 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 25.e (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.199626005053\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{10})\)
Coefficient field: 8.0.58140625.2
Defining polynomial: \(x^{8} - 3 x^{7} + 4 x^{6} - 7 x^{5} + 11 x^{4} + 5 x^{3} - 10 x^{2} - 25 x + 25\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 9.1
Root \(-0.357358 + 1.86824i\) of defining polynomial
Character \(\chi\) \(=\) 25.9
Dual form 25.2.e.a.14.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35736 + 1.86824i) q^{2} +(-0.451659 + 0.146753i) q^{3} +(-1.02988 - 3.16963i) q^{4} +(2.19625 + 0.420099i) q^{5} +(0.338893 - 1.04301i) q^{6} -3.03582i q^{7} +(2.92705 + 0.951057i) q^{8} +(-2.24459 + 1.63079i) q^{9} +O(q^{10})\) \(q+(-1.35736 + 1.86824i) q^{2} +(-0.451659 + 0.146753i) q^{3} +(-1.02988 - 3.16963i) q^{4} +(2.19625 + 0.420099i) q^{5} +(0.338893 - 1.04301i) q^{6} -3.03582i q^{7} +(2.92705 + 0.951057i) q^{8} +(-2.24459 + 1.63079i) q^{9} +(-3.76594 + 3.53290i) q^{10} +(-1.61803 - 1.17557i) q^{11} +(0.930307 + 1.28046i) q^{12} +(0.838893 + 1.15464i) q^{13} +(5.67164 + 4.12069i) q^{14} +(-1.05361 + 0.132565i) q^{15} +(-0.357358 + 0.259635i) q^{16} +(-1.76920 - 0.574848i) q^{17} -6.40701i q^{18} +(-0.279141 + 0.859107i) q^{19} +(-0.930307 - 7.39396i) q^{20} +(0.445515 + 1.37116i) q^{21} +(4.39250 - 1.42721i) q^{22} +(-1.95693 + 2.69348i) q^{23} -1.46160 q^{24} +(4.64703 + 1.84529i) q^{25} -3.29582 q^{26} +(1.61189 - 2.21858i) q^{27} +(-9.62243 + 3.12652i) q^{28} +(-1.22466 - 3.76910i) q^{29} +(1.18246 - 2.14833i) q^{30} +(-1.99006 + 6.12477i) q^{31} +5.13532i q^{32} +(0.903319 + 0.293506i) q^{33} +(3.47539 - 2.52502i) q^{34} +(1.27534 - 6.66742i) q^{35} +(7.48066 + 5.43502i) q^{36} +(2.24547 + 3.09062i) q^{37} +(-1.22613 - 1.68762i) q^{38} +(-0.548341 - 0.398393i) q^{39} +(6.02900 + 3.31841i) q^{40} +(1.48391 - 1.07813i) q^{41} +(-3.16637 - 1.02882i) q^{42} -3.59445i q^{43} +(-2.05975 + 6.33927i) q^{44} +(-5.61478 + 2.63868i) q^{45} +(-2.37582 - 7.31203i) q^{46} +(-4.56502 + 1.48326i) q^{47} +(0.123302 - 0.169710i) q^{48} -2.21619 q^{49} +(-9.75513 + 6.17707i) q^{50} +0.883436 q^{51} +(2.79582 - 3.84812i) q^{52} +(9.03953 - 2.93712i) q^{53} +(1.95693 + 6.02280i) q^{54} +(-3.05975 - 3.26158i) q^{55} +(2.88723 - 8.88599i) q^{56} -0.428989i q^{57} +(8.70390 + 2.82807i) q^{58} +(8.61248 - 6.25734i) q^{59} +(1.50527 + 3.20303i) q^{60} +(-11.5481 - 8.39016i) q^{61} +(-8.74134 - 12.0314i) q^{62} +(4.95078 + 6.81417i) q^{63} +(-10.3087 - 7.48973i) q^{64} +(1.35736 + 2.88829i) q^{65} +(-1.77447 + 1.28923i) q^{66} +(10.1670 + 3.30345i) q^{67} +6.19974i q^{68} +(0.488588 - 1.50372i) q^{69} +(10.7253 + 11.4327i) q^{70} +(3.85030 + 11.8500i) q^{71} +(-8.12101 + 2.63868i) q^{72} +(0.157310 - 0.216518i) q^{73} -8.82193 q^{74} +(-2.36968 - 0.151474i) q^{75} +3.01054 q^{76} +(-3.56882 + 4.91206i) q^{77} +(1.48859 - 0.483672i) q^{78} +(2.64882 + 8.15223i) q^{79} +(-0.893919 + 0.420099i) q^{80} +(2.16963 - 6.67743i) q^{81} +4.23572i q^{82} +(-12.0006 - 3.89923i) q^{83} +(3.88723 - 2.82424i) q^{84} +(-3.64411 - 2.00575i) q^{85} +(6.71531 + 4.87896i) q^{86} +(1.10626 + 1.52263i) q^{87} +(-3.61803 - 4.97980i) q^{88} +(-3.85736 - 2.80253i) q^{89} +(2.69158 - 14.0714i) q^{90} +(3.50527 - 2.54673i) q^{91} +(10.5527 + 3.42879i) q^{92} -3.05836i q^{93} +(3.42527 - 10.5419i) q^{94} +(-0.973973 + 1.76955i) q^{95} +(-0.753624 - 2.31942i) q^{96} +(-9.47067 + 3.07721i) q^{97} +(3.00816 - 4.14037i) q^{98} +5.54893 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} - 5q^{3} - q^{4} - 9q^{6} + 10q^{8} + q^{9} + O(q^{10}) \) \( 8q - 5q^{2} - 5q^{3} - q^{4} - 9q^{6} + 10q^{8} + q^{9} - 5q^{10} - 4q^{11} + 15q^{12} - 5q^{13} + 13q^{14} + 15q^{15} + 3q^{16} - 10q^{17} - 5q^{19} - 15q^{20} - 4q^{21} + 5q^{23} - 20q^{24} - 10q^{25} + 6q^{26} - 5q^{27} - 15q^{28} - 5q^{29} + 15q^{30} - 9q^{31} + 10q^{33} + 13q^{34} + 15q^{35} + 23q^{36} + 30q^{37} + 15q^{38} - 3q^{39} + 10q^{40} - 4q^{41} - 15q^{42} - 2q^{44} - 15q^{45} - 19q^{46} - 30q^{48} + 14q^{49} - 15q^{50} - 4q^{51} - 10q^{52} - 10q^{53} - 5q^{54} - 10q^{55} + 10q^{56} + 20q^{58} - 10q^{60} - 9q^{61} - 30q^{62} + 10q^{63} + 4q^{64} + 5q^{65} + 12q^{66} + 20q^{67} + 17q^{69} + 30q^{70} + 6q^{71} + 5q^{72} + 15q^{73} - 12q^{74} - 10q^{75} - 20q^{76} + 10q^{77} + 25q^{78} + 15q^{79} + 20q^{80} + 28q^{81} - 45q^{83} + 18q^{84} - 15q^{85} - 9q^{86} - 20q^{87} - 20q^{88} - 25q^{89} - 25q^{90} + 6q^{91} + 30q^{92} - 27q^{94} + 15q^{95} + 16q^{96} - 60q^{97} - 10q^{98} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35736 + 1.86824i −0.959797 + 1.32105i −0.0127610 + 0.999919i \(0.504062\pi\)
−0.947036 + 0.321128i \(0.895938\pi\)
\(3\) −0.451659 + 0.146753i −0.260766 + 0.0847279i −0.436482 0.899713i \(-0.643776\pi\)
0.175716 + 0.984441i \(0.443776\pi\)
\(4\) −1.02988 3.16963i −0.514938 1.58482i
\(5\) 2.19625 + 0.420099i 0.982193 + 0.187874i
\(6\) 0.338893 1.04301i 0.138353 0.425805i
\(7\) 3.03582i 1.14743i −0.819055 0.573716i \(-0.805502\pi\)
0.819055 0.573716i \(-0.194498\pi\)
\(8\) 2.92705 + 0.951057i 1.03487 + 0.336249i
\(9\) −2.24459 + 1.63079i −0.748197 + 0.543597i
\(10\) −3.76594 + 3.53290i −1.19090 + 1.11720i
\(11\) −1.61803 1.17557i −0.487856 0.354448i 0.316503 0.948591i \(-0.397491\pi\)
−0.804359 + 0.594144i \(0.797491\pi\)
\(12\) 0.930307 + 1.28046i 0.268556 + 0.369636i
\(13\) 0.838893 + 1.15464i 0.232667 + 0.320239i 0.909347 0.416039i \(-0.136582\pi\)
−0.676680 + 0.736277i \(0.736582\pi\)
\(14\) 5.67164 + 4.12069i 1.51581 + 1.10130i
\(15\) −1.05361 + 0.132565i −0.272040 + 0.0342281i
\(16\) −0.357358 + 0.259635i −0.0893394 + 0.0649089i
\(17\) −1.76920 0.574848i −0.429094 0.139421i 0.0865044 0.996251i \(-0.472430\pi\)
−0.515598 + 0.856830i \(0.672430\pi\)
\(18\) 6.40701i 1.51015i
\(19\) −0.279141 + 0.859107i −0.0640393 + 0.197093i −0.977957 0.208807i \(-0.933042\pi\)
0.913918 + 0.405900i \(0.133042\pi\)
\(20\) −0.930307 7.39396i −0.208023 1.65334i
\(21\) 0.445515 + 1.37116i 0.0972194 + 0.299211i
\(22\) 4.39250 1.42721i 0.936484 0.304282i
\(23\) −1.95693 + 2.69348i −0.408048 + 0.561629i −0.962741 0.270426i \(-0.912836\pi\)
0.554693 + 0.832055i \(0.312836\pi\)
\(24\) −1.46160 −0.298348
\(25\) 4.64703 + 1.84529i 0.929407 + 0.369057i
\(26\) −3.29582 −0.646364
\(27\) 1.61189 2.21858i 0.310208 0.426965i
\(28\) −9.62243 + 3.12652i −1.81847 + 0.590856i
\(29\) −1.22466 3.76910i −0.227413 0.699905i −0.998038 0.0626159i \(-0.980056\pi\)
0.770625 0.637289i \(-0.219944\pi\)
\(30\) 1.18246 2.14833i 0.215887 0.392230i
\(31\) −1.99006 + 6.12477i −0.357425 + 1.10004i 0.597165 + 0.802119i \(0.296294\pi\)
−0.954590 + 0.297923i \(0.903706\pi\)
\(32\) 5.13532i 0.907805i
\(33\) 0.903319 + 0.293506i 0.157248 + 0.0510929i
\(34\) 3.47539 2.52502i 0.596025 0.433037i
\(35\) 1.27534 6.66742i 0.215572 1.12700i
\(36\) 7.48066 + 5.43502i 1.24678 + 0.905836i
\(37\) 2.24547 + 3.09062i 0.369153 + 0.508095i 0.952670 0.304005i \(-0.0983241\pi\)
−0.583518 + 0.812100i \(0.698324\pi\)
\(38\) −1.22613 1.68762i −0.198904 0.273768i
\(39\) −0.548341 0.398393i −0.0878048 0.0637939i
\(40\) 6.02900 + 3.31841i 0.953269 + 0.524687i
\(41\) 1.48391 1.07813i 0.231749 0.168375i −0.465851 0.884863i \(-0.654252\pi\)
0.697599 + 0.716488i \(0.254252\pi\)
\(42\) −3.16637 1.02882i −0.488582 0.158750i
\(43\) 3.59445i 0.548149i −0.961708 0.274074i \(-0.911629\pi\)
0.961708 0.274074i \(-0.0883715\pi\)
\(44\) −2.05975 + 6.33927i −0.310519 + 0.955680i
\(45\) −5.61478 + 2.63868i −0.837002 + 0.393350i
\(46\) −2.37582 7.31203i −0.350296 1.07810i
\(47\) −4.56502 + 1.48326i −0.665877 + 0.216356i −0.622402 0.782698i \(-0.713843\pi\)
−0.0434750 + 0.999055i \(0.513843\pi\)
\(48\) 0.123302 0.169710i 0.0177971 0.0244955i
\(49\) −2.21619 −0.316598
\(50\) −9.75513 + 6.17707i −1.37958 + 0.873570i
\(51\) 0.883436 0.123706
\(52\) 2.79582 3.84812i 0.387711 0.533638i
\(53\) 9.03953 2.93712i 1.24168 0.403445i 0.386745 0.922187i \(-0.373599\pi\)
0.854931 + 0.518742i \(0.173599\pi\)
\(54\) 1.95693 + 6.02280i 0.266304 + 0.819600i
\(55\) −3.05975 3.26158i −0.412577 0.439792i
\(56\) 2.88723 8.88599i 0.385823 1.18744i
\(57\) 0.428989i 0.0568209i
\(58\) 8.70390 + 2.82807i 1.14288 + 0.371343i
\(59\) 8.61248 6.25734i 1.12125 0.814636i 0.136852 0.990592i \(-0.456302\pi\)
0.984398 + 0.175956i \(0.0563016\pi\)
\(60\) 1.50527 + 3.20303i 0.194329 + 0.413509i
\(61\) −11.5481 8.39016i −1.47858 1.07425i −0.978012 0.208551i \(-0.933125\pi\)
−0.500566 0.865698i \(-0.666875\pi\)
\(62\) −8.74134 12.0314i −1.11015 1.52799i
\(63\) 4.95078 + 6.81417i 0.623740 + 0.858505i
\(64\) −10.3087 7.48973i −1.28859 0.936217i
\(65\) 1.35736 + 2.88829i 0.168359 + 0.358248i
\(66\) −1.77447 + 1.28923i −0.218422 + 0.158693i
\(67\) 10.1670 + 3.30345i 1.24209 + 0.403580i 0.855081 0.518494i \(-0.173507\pi\)
0.387012 + 0.922075i \(0.373507\pi\)
\(68\) 6.19974i 0.751828i
\(69\) 0.488588 1.50372i 0.0588191 0.181027i
\(70\) 10.7253 + 11.4327i 1.28191 + 1.36647i
\(71\) 3.85030 + 11.8500i 0.456947 + 1.40634i 0.868834 + 0.495104i \(0.164870\pi\)
−0.411887 + 0.911235i \(0.635130\pi\)
\(72\) −8.12101 + 2.63868i −0.957070 + 0.310971i
\(73\) 0.157310 0.216518i 0.0184117 0.0253415i −0.799712 0.600384i \(-0.795014\pi\)
0.818124 + 0.575042i \(0.195014\pi\)
\(74\) −8.82193 −1.02553
\(75\) −2.36968 0.151474i −0.273627 0.0174907i
\(76\) 3.01054 0.345332
\(77\) −3.56882 + 4.91206i −0.406704 + 0.559781i
\(78\) 1.48859 0.483672i 0.168549 0.0547650i
\(79\) 2.64882 + 8.15223i 0.298015 + 0.917197i 0.982192 + 0.187881i \(0.0601618\pi\)
−0.684176 + 0.729316i \(0.739838\pi\)
\(80\) −0.893919 + 0.420099i −0.0999432 + 0.0469685i
\(81\) 2.16963 6.67743i 0.241070 0.741937i
\(82\) 4.23572i 0.467757i
\(83\) −12.0006 3.89923i −1.31724 0.427996i −0.435691 0.900096i \(-0.643496\pi\)
−0.881545 + 0.472100i \(0.843496\pi\)
\(84\) 3.88723 2.82424i 0.424132 0.308150i
\(85\) −3.64411 2.00575i −0.395260 0.217554i
\(86\) 6.71531 + 4.87896i 0.724130 + 0.526112i
\(87\) 1.10626 + 1.52263i 0.118603 + 0.163243i
\(88\) −3.61803 4.97980i −0.385684 0.530848i
\(89\) −3.85736 2.80253i −0.408879 0.297068i 0.364269 0.931294i \(-0.381319\pi\)
−0.773148 + 0.634226i \(0.781319\pi\)
\(90\) 2.69158 14.0714i 0.283717 1.48326i
\(91\) 3.50527 2.54673i 0.367452 0.266969i
\(92\) 10.5527 + 3.42879i 1.10020 + 0.357476i
\(93\) 3.05836i 0.317137i
\(94\) 3.42527 10.5419i 0.353289 1.08731i
\(95\) −0.973973 + 1.76955i −0.0999276 + 0.181552i
\(96\) −0.753624 2.31942i −0.0769164 0.236724i
\(97\) −9.47067 + 3.07721i −0.961600 + 0.312443i −0.747420 0.664351i \(-0.768708\pi\)
−0.214180 + 0.976794i \(0.568708\pi\)
\(98\) 3.00816 4.14037i 0.303870 0.418241i
\(99\) 5.54893 0.557689
\(100\) 1.06301 16.6298i 0.106301 1.66298i
\(101\) 9.34612 0.929974 0.464987 0.885318i \(-0.346059\pi\)
0.464987 + 0.885318i \(0.346059\pi\)
\(102\) −1.19914 + 1.65047i −0.118732 + 0.163421i
\(103\) −8.63947 + 2.80713i −0.851272 + 0.276595i −0.701979 0.712198i \(-0.747700\pi\)
−0.149294 + 0.988793i \(0.547700\pi\)
\(104\) 1.35736 + 4.17752i 0.133100 + 0.409639i
\(105\) 0.402443 + 3.19856i 0.0392744 + 0.312148i
\(106\) −6.78262 + 20.8748i −0.658787 + 2.02754i
\(107\) 5.62871i 0.544148i −0.962276 0.272074i \(-0.912290\pi\)
0.962276 0.272074i \(-0.0877096\pi\)
\(108\) −8.69212 2.82424i −0.836400 0.271763i
\(109\) −8.18158 + 5.94427i −0.783654 + 0.569358i −0.906073 0.423121i \(-0.860935\pi\)
0.122420 + 0.992478i \(0.460935\pi\)
\(110\) 10.2466 1.28923i 0.976975 0.122923i
\(111\) −1.46774 1.06638i −0.139312 0.101216i
\(112\) 0.788206 + 1.08487i 0.0744784 + 0.102511i
\(113\) −6.29636 8.66620i −0.592312 0.815247i 0.402666 0.915347i \(-0.368084\pi\)
−0.994977 + 0.100100i \(0.968084\pi\)
\(114\) 0.801455 + 0.582291i 0.0750631 + 0.0545366i
\(115\) −5.42943 + 5.09345i −0.506297 + 0.474967i
\(116\) −10.6854 + 7.76342i −0.992118 + 0.720816i
\(117\) −3.76594 1.22363i −0.348162 0.113125i
\(118\) 24.5836i 2.26311i
\(119\) −1.74513 + 5.37097i −0.159976 + 0.492356i
\(120\) −3.21004 0.614017i −0.293035 0.0560518i
\(121\) −2.16312 6.65740i −0.196647 0.605218i
\(122\) 31.3497 10.1861i 2.83827 0.922209i
\(123\) −0.512006 + 0.704715i −0.0461660 + 0.0635420i
\(124\) 21.4628 1.92742
\(125\) 9.43085 + 6.00492i 0.843521 + 0.537097i
\(126\) −19.4505 −1.73279
\(127\) 6.67779 9.19118i 0.592558 0.815586i −0.402444 0.915445i \(-0.631839\pi\)
0.995002 + 0.0998589i \(0.0318392\pi\)
\(128\) 18.2173 5.91917i 1.61020 0.523185i
\(129\) 0.527497 + 1.62347i 0.0464435 + 0.142938i
\(130\) −7.23845 1.38457i −0.634854 0.121435i
\(131\) 2.46834 7.59677i 0.215660 0.663732i −0.783446 0.621459i \(-0.786540\pi\)
0.999106 0.0422730i \(-0.0134599\pi\)
\(132\) 3.16546i 0.275518i
\(133\) 2.60809 + 0.847421i 0.226150 + 0.0734807i
\(134\) −19.9719 + 14.5104i −1.72531 + 1.25351i
\(135\) 4.47214 4.19540i 0.384900 0.361082i
\(136\) −4.63182 3.36522i −0.397176 0.288565i
\(137\) 5.48831 + 7.55401i 0.468898 + 0.645382i 0.976324 0.216313i \(-0.0694031\pi\)
−0.507426 + 0.861695i \(0.669403\pi\)
\(138\) 2.14612 + 2.95389i 0.182690 + 0.251452i
\(139\) 14.4936 + 10.5302i 1.22933 + 0.893160i 0.996840 0.0794393i \(-0.0253130\pi\)
0.232489 + 0.972599i \(0.425313\pi\)
\(140\) −22.4467 + 2.82424i −1.89709 + 0.238692i
\(141\) 1.84416 1.33986i 0.155306 0.112837i
\(142\) −27.3649 8.89141i −2.29642 0.746151i
\(143\) 2.85442i 0.238699i
\(144\) 0.378710 1.16555i 0.0315592 0.0971292i
\(145\) −1.10626 8.79238i −0.0918695 0.730167i
\(146\) 0.190983 + 0.587785i 0.0158059 + 0.0486455i
\(147\) 1.00096 0.325232i 0.0825579 0.0268247i
\(148\) 7.48358 10.3003i 0.615146 0.846676i
\(149\) 6.31395 0.517259 0.258629 0.965977i \(-0.416729\pi\)
0.258629 + 0.965977i \(0.416729\pi\)
\(150\) 3.49949 4.22153i 0.285732 0.344686i
\(151\) 4.71947 0.384065 0.192033 0.981389i \(-0.438492\pi\)
0.192033 + 0.981389i \(0.438492\pi\)
\(152\) −1.63412 + 2.24917i −0.132545 + 0.182432i
\(153\) 4.90859 1.59490i 0.396836 0.128940i
\(154\) −4.33275 13.3348i −0.349143 1.07455i
\(155\) −6.94368 + 12.6155i −0.557730 + 1.01330i
\(156\) −0.698036 + 2.14833i −0.0558876 + 0.172004i
\(157\) 1.46908i 0.117245i −0.998280 0.0586225i \(-0.981329\pi\)
0.998280 0.0586225i \(-0.0186708\pi\)
\(158\) −18.8257 6.11685i −1.49769 0.486630i
\(159\) −3.65176 + 2.65316i −0.289603 + 0.210409i
\(160\) −2.15734 + 11.2784i −0.170553 + 0.891639i
\(161\) 8.17691 + 5.94087i 0.644431 + 0.468206i
\(162\) 9.53010 + 13.1171i 0.748756 + 1.03057i
\(163\) −2.62134 3.60797i −0.205319 0.282598i 0.693922 0.720050i \(-0.255881\pi\)
−0.899242 + 0.437452i \(0.855881\pi\)
\(164\) −4.94552 3.59313i −0.386180 0.280576i
\(165\) 1.86061 + 1.02410i 0.144849 + 0.0797258i
\(166\) 23.5738 17.1274i 1.82968 1.32934i
\(167\) −9.92300 3.22418i −0.767865 0.249494i −0.101214 0.994865i \(-0.532273\pi\)
−0.666651 + 0.745370i \(0.732273\pi\)
\(168\) 4.43715i 0.342334i
\(169\) 3.38778 10.4265i 0.260598 0.802038i
\(170\) 8.69359 4.08557i 0.666768 0.313349i
\(171\) −0.774467 2.38357i −0.0592250 0.182276i
\(172\) −11.3931 + 3.70184i −0.868715 + 0.282263i
\(173\) −4.51195 + 6.21017i −0.343037 + 0.472151i −0.945326 0.326128i \(-0.894256\pi\)
0.602288 + 0.798279i \(0.294256\pi\)
\(174\) −4.34623 −0.329486
\(175\) 5.60195 14.1075i 0.423468 1.06643i
\(176\) 0.883436 0.0665915
\(177\) −2.97163 + 4.09009i −0.223361 + 0.307430i
\(178\) 10.4716 3.40244i 0.784882 0.255023i
\(179\) −4.79494 14.7573i −0.358391 1.10301i −0.954017 0.299752i \(-0.903096\pi\)
0.595626 0.803262i \(-0.296904\pi\)
\(180\) 14.1462 + 15.0793i 1.05439 + 1.12394i
\(181\) −0.491509 + 1.51271i −0.0365336 + 0.112439i −0.967660 0.252257i \(-0.918827\pi\)
0.931127 + 0.364696i \(0.118827\pi\)
\(182\) 10.0055i 0.741658i
\(183\) 6.44707 + 2.09478i 0.476581 + 0.154851i
\(184\) −8.28968 + 6.02280i −0.611123 + 0.444007i
\(185\) 3.63324 + 7.73110i 0.267121 + 0.568402i
\(186\) 5.71375 + 4.15129i 0.418953 + 0.304387i
\(187\) 2.18685 + 3.00994i 0.159918 + 0.220109i
\(188\) 9.40281 + 12.9419i 0.685770 + 0.943882i
\(189\) −6.73519 4.89340i −0.489913 0.355943i
\(190\) −1.98391 4.22153i −0.143928 0.306262i
\(191\) −15.9121 + 11.5608i −1.15136 + 0.836511i −0.988661 0.150164i \(-0.952020\pi\)
−0.162698 + 0.986676i \(0.552020\pi\)
\(192\) 5.75518 + 1.86997i 0.415344 + 0.134954i
\(193\) 13.1100i 0.943680i 0.881684 + 0.471840i \(0.156410\pi\)
−0.881684 + 0.471840i \(0.843590\pi\)
\(194\) 7.10611 21.8704i 0.510189 1.57020i
\(195\) −1.03693 1.10533i −0.0742560 0.0791542i
\(196\) 2.28240 + 7.02449i 0.163028 + 0.501750i
\(197\) −3.26164 + 1.05977i −0.232382 + 0.0755055i −0.422893 0.906180i \(-0.638985\pi\)
0.190511 + 0.981685i \(0.438985\pi\)
\(198\) −7.53189 + 10.3668i −0.535268 + 0.736733i
\(199\) −17.6959 −1.25443 −0.627215 0.778846i \(-0.715805\pi\)
−0.627215 + 0.778846i \(0.715805\pi\)
\(200\) 11.8471 + 9.82084i 0.837719 + 0.694438i
\(201\) −5.07680 −0.358090
\(202\) −12.6860 + 17.4608i −0.892586 + 1.22854i
\(203\) −11.4423 + 3.71783i −0.803093 + 0.260941i
\(204\) −0.909830 2.80017i −0.0637008 0.196051i
\(205\) 3.71197 1.74445i 0.259255 0.121837i
\(206\) 6.48244 19.9509i 0.451653 1.39005i
\(207\) 9.23710i 0.642023i
\(208\) −0.599570 0.194812i −0.0415727 0.0135078i
\(209\) 1.46160 1.06192i 0.101101 0.0734542i
\(210\) −6.52195 3.58973i −0.450057 0.247715i
\(211\) 2.62418 + 1.90658i 0.180656 + 0.131254i 0.674438 0.738331i \(-0.264386\pi\)
−0.493782 + 0.869586i \(0.664386\pi\)
\(212\) −18.6192 25.6271i −1.27877 1.76008i
\(213\) −3.47805 4.78713i −0.238312 0.328009i
\(214\) 10.5158 + 7.64018i 0.718845 + 0.522272i
\(215\) 1.51003 7.89432i 0.102983 0.538388i
\(216\) 6.82808 4.96089i 0.464592 0.337546i
\(217\) 18.5937 + 6.04145i 1.26222 + 0.410121i
\(218\) 23.3537i 1.58171i
\(219\) −0.0392757 + 0.120878i −0.00265401 + 0.00816819i
\(220\) −7.18685 + 13.0573i −0.484537 + 0.880324i
\(221\) −0.820429 2.52502i −0.0551880 0.169851i
\(222\) 3.98451 1.29465i 0.267423 0.0868909i
\(223\) 16.8781 23.2307i 1.13024 1.55564i 0.342633 0.939469i \(-0.388681\pi\)
0.787609 0.616175i \(-0.211319\pi\)
\(224\) 15.5899 1.04164
\(225\) −13.4400 + 3.43643i −0.895998 + 0.229095i
\(226\) 24.7370 1.64548
\(227\) −6.88921 + 9.48219i −0.457253 + 0.629355i −0.973936 0.226822i \(-0.927167\pi\)
0.516683 + 0.856177i \(0.327167\pi\)
\(228\) −1.35974 + 0.441805i −0.0900508 + 0.0292593i
\(229\) 5.06828 + 15.5985i 0.334921 + 1.03078i 0.966761 + 0.255682i \(0.0823000\pi\)
−0.631840 + 0.775099i \(0.717700\pi\)
\(230\) −2.14612 17.0571i −0.141511 1.12471i
\(231\) 0.891031 2.74231i 0.0586255 0.180431i
\(232\) 12.1971i 0.800777i
\(233\) 21.4126 + 6.95739i 1.40279 + 0.455794i 0.910092 0.414407i \(-0.136011\pi\)
0.492697 + 0.870201i \(0.336011\pi\)
\(234\) 7.39777 5.37479i 0.483607 0.351361i
\(235\) −10.6490 + 1.33986i −0.694667 + 0.0874029i
\(236\) −28.7032 20.8541i −1.86842 1.35749i
\(237\) −2.39273 3.29331i −0.155424 0.213923i
\(238\) −7.66550 10.5507i −0.496880 0.683897i
\(239\) −5.36647 3.89897i −0.347128 0.252204i 0.400535 0.916281i \(-0.368824\pi\)
−0.747663 + 0.664078i \(0.768824\pi\)
\(240\) 0.342096 0.320927i 0.0220822 0.0207158i
\(241\) −21.2173 + 15.4153i −1.36673 + 0.992986i −0.368743 + 0.929531i \(0.620212\pi\)
−0.997985 + 0.0634545i \(0.979788\pi\)
\(242\) 15.3738 + 4.99524i 0.988262 + 0.321106i
\(243\) 11.5613i 0.741655i
\(244\) −14.7006 + 45.2439i −0.941112 + 2.89645i
\(245\) −4.86730 0.931017i −0.310960 0.0594805i
\(246\) −0.621604 1.91310i −0.0396320 0.121975i
\(247\) −1.22613 + 0.398393i −0.0780166 + 0.0253491i
\(248\) −11.6500 + 16.0349i −0.739776 + 1.01821i
\(249\) 5.99241 0.379753
\(250\) −24.0197 + 9.46828i −1.51914 + 0.598827i
\(251\) −10.9121 −0.688766 −0.344383 0.938829i \(-0.611912\pi\)
−0.344383 + 0.938829i \(0.611912\pi\)
\(252\) 16.4997 22.7099i 1.03938 1.43059i
\(253\) 6.33275 2.05763i 0.398137 0.129362i
\(254\) 8.10722 + 24.9514i 0.508692 + 1.56559i
\(255\) 1.94025 + 0.371131i 0.121503 + 0.0232411i
\(256\) −5.79381 + 17.8315i −0.362113 + 1.11447i
\(257\) 6.58051i 0.410481i −0.978712 0.205240i \(-0.934202\pi\)
0.978712 0.205240i \(-0.0657976\pi\)
\(258\) −3.74903 1.21814i −0.233405 0.0758378i
\(259\) 9.38256 6.81683i 0.583004 0.423577i
\(260\) 7.75691 7.27691i 0.481063 0.451295i
\(261\) 8.89547 + 6.46294i 0.550616 + 0.400046i
\(262\) 10.8422 + 14.9230i 0.669832 + 0.921945i
\(263\) 15.9332 + 21.9302i 0.982486 + 1.35228i 0.935479 + 0.353382i \(0.114968\pi\)
0.0470069 + 0.998895i \(0.485032\pi\)
\(264\) 2.36492 + 1.71821i 0.145551 + 0.105749i
\(265\) 21.0870 2.65316i 1.29536 0.162982i
\(266\) −5.12330 + 3.72230i −0.314130 + 0.228229i
\(267\) 2.15349 + 0.699712i 0.131792 + 0.0428217i
\(268\) 35.6277i 2.17631i
\(269\) −0.311938 + 0.960046i −0.0190192 + 0.0585350i −0.960116 0.279603i \(-0.909797\pi\)
0.941096 + 0.338138i \(0.109797\pi\)
\(270\) 1.76773 + 14.0497i 0.107581 + 0.855037i
\(271\) 1.93198 + 5.94603i 0.117360 + 0.361196i 0.992432 0.122796i \(-0.0391862\pi\)
−0.875072 + 0.483992i \(0.839186\pi\)
\(272\) 0.781488 0.253921i 0.0473847 0.0153962i
\(273\) −1.20945 + 1.66466i −0.0731991 + 0.100750i
\(274\) −21.5623 −1.30263
\(275\) −5.34980 8.44865i −0.322605 0.509473i
\(276\) −5.26943 −0.317182
\(277\) 14.5009 19.9587i 0.871272 1.19920i −0.107491 0.994206i \(-0.534282\pi\)
0.978763 0.204997i \(-0.0657184\pi\)
\(278\) −39.3459 + 12.7843i −2.35981 + 0.766749i
\(279\) −5.52135 16.9930i −0.330555 1.01734i
\(280\) 10.0741 18.3029i 0.602042 1.09381i
\(281\) 0.568255 1.74891i 0.0338993 0.104331i −0.932675 0.360717i \(-0.882532\pi\)
0.966574 + 0.256386i \(0.0825319\pi\)
\(282\) 5.26401i 0.313467i
\(283\) −8.21823 2.67026i −0.488523 0.158731i 0.0543898 0.998520i \(-0.482679\pi\)
−0.542913 + 0.839789i \(0.682679\pi\)
\(284\) 33.5949 24.4081i 1.99349 1.44835i
\(285\) 0.180218 0.942167i 0.0106752 0.0558091i
\(286\) 5.33275 + 3.87447i 0.315332 + 0.229102i
\(287\) −3.27300 4.50489i −0.193199 0.265915i
\(288\) −8.37463 11.5267i −0.493480 0.679217i
\(289\) −10.9537 7.95831i −0.644334 0.468136i
\(290\) 17.9279 + 9.86764i 1.05276 + 0.579448i
\(291\) 3.82593 2.77970i 0.224280 0.162949i
\(292\) −0.848293 0.275627i −0.0496426 0.0161299i
\(293\) 6.29156i 0.367557i 0.982968 + 0.183779i \(0.0588329\pi\)
−0.982968 + 0.183779i \(0.941167\pi\)
\(294\) −0.751050 + 2.31149i −0.0438021 + 0.134809i
\(295\) 21.5439 10.1246i 1.25433 0.589476i
\(296\) 3.63324 + 11.1820i 0.211178 + 0.649939i
\(297\) −5.21619 + 1.69484i −0.302674 + 0.0983447i
\(298\) −8.57029 + 11.7960i −0.496463 + 0.683323i
\(299\) −4.75164 −0.274795
\(300\) 1.96036 + 7.66701i 0.113181 + 0.442655i
\(301\) −10.9121 −0.628963
\(302\) −6.40601 + 8.81712i −0.368625 + 0.507368i
\(303\) −4.22126 + 1.37157i −0.242505 + 0.0787947i
\(304\) −0.123302 0.379483i −0.00707183 0.0217649i
\(305\) −21.8377 23.2782i −1.25043 1.33291i
\(306\) −3.68305 + 11.3353i −0.210546 + 0.647994i
\(307\) 28.6661i 1.63606i 0.575175 + 0.818030i \(0.304934\pi\)
−0.575175 + 0.818030i \(0.695066\pi\)
\(308\) 19.2449 + 6.25303i 1.09658 + 0.356300i
\(309\) 3.49014 2.53574i 0.198547 0.144253i
\(310\) −14.1438 30.0962i −0.803313 1.70935i
\(311\) 6.33985 + 4.60617i 0.359500 + 0.261192i 0.752844 0.658199i \(-0.228682\pi\)
−0.393343 + 0.919392i \(0.628682\pi\)
\(312\) −1.22613 1.68762i −0.0694158 0.0955426i
\(313\) −12.5840 17.3205i −0.711292 0.979010i −0.999768 0.0215228i \(-0.993149\pi\)
0.288476 0.957487i \(-0.406851\pi\)
\(314\) 2.74459 + 1.99406i 0.154886 + 0.112531i
\(315\) 8.01054 + 17.0454i 0.451343 + 0.960402i
\(316\) 23.1116 16.7916i 1.30013 0.944599i
\(317\) −3.82309 1.24220i −0.214726 0.0697688i 0.199679 0.979861i \(-0.436010\pi\)
−0.414405 + 0.910093i \(0.636010\pi\)
\(318\) 10.4237i 0.584530i
\(319\) −2.44931 + 7.53821i −0.137135 + 0.422059i
\(320\) −19.4941 20.7800i −1.08976 1.16164i
\(321\) 0.826031 + 2.54226i 0.0461046 + 0.141895i
\(322\) −22.1980 + 7.21256i −1.23705 + 0.401940i
\(323\) 0.987712 1.35947i 0.0549578 0.0756429i
\(324\) −23.3995 −1.29997
\(325\) 1.76773 + 6.91364i 0.0980560 + 0.383499i
\(326\) 10.2987 0.570390
\(327\) 2.82295 3.88546i 0.156109 0.214866i
\(328\) 5.36885 1.74445i 0.296445 0.0963209i
\(329\) 4.50292 + 13.8586i 0.248254 + 0.764047i
\(330\) −4.43878 + 2.08601i −0.244347 + 0.114831i
\(331\) 3.59815 11.0740i 0.197772 0.608681i −0.802161 0.597108i \(-0.796316\pi\)
0.999933 0.0115724i \(-0.00368369\pi\)
\(332\) 42.0532i 2.30797i
\(333\) −10.0803 3.27529i −0.552398 0.179485i
\(334\) 19.4926 14.1622i 1.06659 0.774922i
\(335\) 20.9414 + 11.5263i 1.14415 + 0.629751i
\(336\) −0.515209 0.374321i −0.0281069 0.0204209i
\(337\) −12.6578 17.4220i −0.689516 0.949037i 0.310483 0.950579i \(-0.399509\pi\)
−0.999999 + 0.00154181i \(0.999509\pi\)
\(338\) 14.8808 + 20.4817i 0.809409 + 1.11406i
\(339\) 4.11560 + 2.99016i 0.223529 + 0.162403i
\(340\) −2.60450 + 13.6162i −0.141249 + 0.738441i
\(341\) 10.4201 7.57063i 0.564279 0.409973i
\(342\) 5.50431 + 1.78846i 0.297639 + 0.0967087i
\(343\) 14.5228i 0.784157i
\(344\) 3.41853 10.5211i 0.184315 0.567262i
\(345\) 1.70477 3.09729i 0.0917819 0.166753i
\(346\) −5.47777 16.8588i −0.294487 0.906337i
\(347\) 14.8339 4.81981i 0.796323 0.258741i 0.117529 0.993069i \(-0.462503\pi\)
0.678794 + 0.734328i \(0.262503\pi\)
\(348\) 3.68687 5.07454i 0.197637 0.272024i
\(349\) −5.56598 −0.297940 −0.148970 0.988842i \(-0.547596\pi\)
−0.148970 + 0.988842i \(0.547596\pi\)
\(350\) 18.7525 + 29.6148i 1.00236 + 1.58298i
\(351\) 3.91385 0.208906
\(352\) 6.03693 8.30912i 0.321769 0.442878i
\(353\) −7.62953 + 2.47898i −0.406079 + 0.131943i −0.504932 0.863159i \(-0.668483\pi\)
0.0988533 + 0.995102i \(0.468483\pi\)
\(354\) −3.60773 11.1034i −0.191748 0.590141i
\(355\) 3.47805 + 27.6431i 0.184596 + 1.46714i
\(356\) −4.91040 + 15.1127i −0.260251 + 0.800970i
\(357\) 2.68195i 0.141944i
\(358\) 34.0787 + 11.0728i 1.80112 + 0.585218i
\(359\) −9.98547 + 7.25487i −0.527013 + 0.382897i −0.819239 0.573452i \(-0.805604\pi\)
0.292226 + 0.956349i \(0.405604\pi\)
\(360\) −18.9443 + 2.38357i −0.998451 + 0.125625i
\(361\) 14.7112 + 10.6883i 0.774272 + 0.562542i
\(362\) −2.15895 2.97155i −0.113472 0.156181i
\(363\) 1.95399 + 2.68943i 0.102558 + 0.141159i
\(364\) −11.6822 8.48760i −0.612312 0.444871i
\(365\) 0.436451 0.409443i 0.0228449 0.0214312i
\(366\) −12.6645 + 9.20132i −0.661986 + 0.480961i
\(367\) −25.5596 8.30481i −1.33420 0.433508i −0.446852 0.894608i \(-0.647455\pi\)
−0.887348 + 0.461100i \(0.847455\pi\)
\(368\) 1.47062i 0.0766615i
\(369\) −1.57258 + 4.83991i −0.0818653 + 0.251956i
\(370\) −19.3752 3.70608i −1.00727 0.192670i
\(371\) −8.91657 27.4424i −0.462925 1.42474i
\(372\) −9.69387 + 3.14973i −0.502604 + 0.163306i
\(373\) −16.2457 + 22.3604i −0.841173 + 1.15778i 0.144566 + 0.989495i \(0.453821\pi\)
−0.985739 + 0.168280i \(0.946179\pi\)
\(374\) −8.59164 −0.444263
\(375\) −5.14077 1.32817i −0.265468 0.0685866i
\(376\) −14.7727 −0.761845
\(377\) 3.32459 4.57591i 0.171225 0.235671i
\(378\) 18.2841 5.94087i 0.940434 0.305566i
\(379\) 1.07372 + 3.30456i 0.0551532 + 0.169744i 0.974839 0.222912i \(-0.0715563\pi\)
−0.919685 + 0.392656i \(0.871556\pi\)
\(380\) 6.61189 + 1.26472i 0.339183 + 0.0648789i
\(381\) −1.66725 + 5.13127i −0.0854159 + 0.262883i
\(382\) 45.4198i 2.32388i
\(383\) 26.0322 + 8.45837i 1.33018 + 0.432203i 0.885980 0.463723i \(-0.153487\pi\)
0.444203 + 0.895926i \(0.353487\pi\)
\(384\) −7.35937 + 5.34689i −0.375556 + 0.272858i
\(385\) −9.90157 + 9.28885i −0.504631 + 0.473404i
\(386\) −24.4927 17.7950i −1.24665 0.905741i
\(387\) 5.86180 + 8.06808i 0.297972 + 0.410123i
\(388\) 19.5072 + 26.8494i 0.990329 + 1.36307i
\(389\) 8.80576 + 6.39776i 0.446470 + 0.324379i 0.788200 0.615419i \(-0.211013\pi\)
−0.341731 + 0.939798i \(0.611013\pi\)
\(390\) 3.47250 0.436910i 0.175837 0.0221238i
\(391\) 5.01054 3.64037i 0.253394 0.184101i
\(392\) −6.48689 2.10772i −0.327637 0.106456i
\(393\) 3.79339i 0.191351i
\(394\) 2.44730 7.53202i 0.123293 0.379458i
\(395\) 2.39273 + 19.0171i 0.120391 + 0.956854i
\(396\) −5.71472 17.5881i −0.287175 0.883835i
\(397\) 15.4273 5.01264i 0.774275 0.251577i 0.104881 0.994485i \(-0.466554\pi\)
0.669394 + 0.742908i \(0.266554\pi\)
\(398\) 24.0197 33.0603i 1.20400 1.65716i
\(399\) −1.30233 −0.0651981
\(400\) −2.13975 + 0.547108i −0.106988 + 0.0273554i
\(401\) 3.78686 0.189107 0.0945534 0.995520i \(-0.469858\pi\)
0.0945534 + 0.995520i \(0.469858\pi\)
\(402\) 6.89103 9.48469i 0.343693 0.473053i
\(403\) −8.74134 + 2.84023i −0.435437 + 0.141482i
\(404\) −9.62535 29.6238i −0.478879 1.47384i
\(405\) 7.57024 13.7539i 0.376168 0.683435i
\(406\) 8.58550 26.4234i 0.426091 1.31137i
\(407\) 7.64044i 0.378722i
\(408\) 2.58586 + 0.840198i 0.128019 + 0.0415960i
\(409\) 1.50142 1.09084i 0.0742403 0.0539388i −0.550046 0.835134i \(-0.685390\pi\)
0.624286 + 0.781196i \(0.285390\pi\)
\(410\) −1.77942 + 9.30269i −0.0878793 + 0.459427i
\(411\) −3.58742 2.60641i −0.176954 0.128565i
\(412\) 17.7952 + 24.4930i 0.876705 + 1.20668i
\(413\) −18.9961 26.1459i −0.934738 1.28656i
\(414\) 17.2571 + 12.5380i 0.848142 + 0.616211i
\(415\) −24.7182 13.6051i −1.21337 0.667849i
\(416\) −5.92943 + 4.30798i −0.290714 + 0.211216i
\(417\) −8.09150 2.62909i −0.396242 0.128747i
\(418\) 4.17202i 0.204060i
\(419\) −4.43353 + 13.6450i −0.216592 + 0.666602i 0.782445 + 0.622720i \(0.213972\pi\)
−0.999037 + 0.0438818i \(0.986028\pi\)
\(420\) 9.72380 4.56972i 0.474473 0.222979i
\(421\) 4.77571 + 14.6981i 0.232754 + 0.716343i 0.997411 + 0.0719060i \(0.0229082\pi\)
−0.764658 + 0.644437i \(0.777092\pi\)
\(422\) −7.12390 + 2.31469i −0.346786 + 0.112678i
\(423\) 7.82771 10.7739i 0.380596 0.523846i
\(424\) 29.2525 1.42063
\(425\) −7.16077 5.93602i −0.347348 0.287939i
\(426\) 13.6645 0.662046
\(427\) −25.4710 + 35.0578i −1.23263 + 1.69657i
\(428\) −17.8410 + 5.79688i −0.862375 + 0.280203i
\(429\) 0.418895 + 1.28923i 0.0202244 + 0.0622444i
\(430\) 12.6989 + 13.5365i 0.612393 + 0.652788i
\(431\) 3.86404 11.8923i 0.186124 0.572832i −0.813842 0.581087i \(-0.802628\pi\)
0.999966 + 0.00825486i \(0.00262763\pi\)
\(432\) 1.21133i 0.0582801i
\(433\) −21.3941 6.95138i −1.02814 0.334062i −0.254084 0.967182i \(-0.581774\pi\)
−0.774053 + 0.633120i \(0.781774\pi\)
\(434\) −36.5252 + 26.5371i −1.75326 + 1.27382i
\(435\) 1.78996 + 3.80881i 0.0858219 + 0.182619i
\(436\) 27.2672 + 19.8108i 1.30586 + 0.948763i
\(437\) −1.76773 2.43307i −0.0845620 0.116390i
\(438\) −0.172519 0.237451i −0.00824326 0.0113459i
\(439\) 9.85186 + 7.15780i 0.470204 + 0.341623i 0.797521 0.603292i \(-0.206145\pi\)
−0.327317 + 0.944915i \(0.606145\pi\)
\(440\) −5.85410 12.4568i −0.279083 0.593855i
\(441\) 4.97443 3.61414i 0.236878 0.172102i
\(442\) 5.83096 + 1.89460i 0.277351 + 0.0901167i
\(443\) 20.7101i 0.983968i −0.870604 0.491984i \(-0.836272\pi\)
0.870604 0.491984i \(-0.163728\pi\)
\(444\) −1.86843 + 5.75045i −0.0886720 + 0.272904i
\(445\) −7.29438 7.77554i −0.345787 0.368596i
\(446\) 20.4910 + 63.0648i 0.970277 + 2.98621i
\(447\) −2.85176 + 0.926591i −0.134883 + 0.0438263i
\(448\) −22.7375 + 31.2954i −1.07424 + 1.47857i
\(449\) 25.9539 1.22484 0.612420 0.790533i \(-0.290196\pi\)
0.612420 + 0.790533i \(0.290196\pi\)
\(450\) 11.8228 29.7736i 0.557330 1.40354i
\(451\) −3.66844 −0.172740
\(452\) −20.9842 + 28.8823i −0.987013 + 1.35851i
\(453\) −2.13159 + 0.692597i −0.100151 + 0.0325411i
\(454\) −8.36390 25.7414i −0.392537 1.20811i
\(455\) 8.76832 4.12069i 0.411065 0.193181i
\(456\) 0.407993 1.25567i 0.0191060 0.0588022i
\(457\) 8.50150i 0.397684i 0.980032 + 0.198842i \(0.0637180\pi\)
−0.980032 + 0.198842i \(0.936282\pi\)
\(458\) −36.0213 11.7040i −1.68317 0.546894i
\(459\) −4.12710 + 2.99851i −0.192636 + 0.139959i
\(460\) 21.7360 + 11.9637i 1.01345 + 0.557809i
\(461\) −11.9614 8.69044i −0.557097 0.404754i 0.273299 0.961929i \(-0.411885\pi\)
−0.830395 + 0.557175i \(0.811885\pi\)
\(462\) 3.91385 + 5.38696i 0.182089 + 0.250624i
\(463\) 13.0442 + 17.9538i 0.606215 + 0.834384i 0.996259 0.0864125i \(-0.0275403\pi\)
−0.390044 + 0.920796i \(0.627540\pi\)
\(464\) 1.41623 + 1.02895i 0.0657470 + 0.0477680i
\(465\) 1.28481 6.71692i 0.0595818 0.311490i
\(466\) −42.0627 + 30.5603i −1.94852 + 1.41568i
\(467\) 27.1064 + 8.80741i 1.25434 + 0.407558i 0.859473 0.511182i \(-0.170792\pi\)
0.394863 + 0.918740i \(0.370792\pi\)
\(468\) 13.1968i 0.610024i
\(469\) 10.0287 30.8651i 0.463081 1.42522i
\(470\) 11.9514 21.7137i 0.551276 1.00158i
\(471\) 0.215591 + 0.663522i 0.00993393 + 0.0305735i
\(472\) 31.1603 10.1246i 1.43427 0.466022i
\(473\) −4.22553 + 5.81595i −0.194290 + 0.267418i
\(474\) 9.40048 0.431779
\(475\) −2.88248 + 3.47721i −0.132257 + 0.159545i
\(476\) 18.8213 0.862671
\(477\) −15.5002 + 21.3342i −0.709707 + 0.976827i
\(478\) 14.5684 4.73358i 0.666345 0.216509i
\(479\) −7.74301 23.8305i −0.353787 1.08885i −0.956709 0.291045i \(-0.905997\pi\)
0.602922 0.797800i \(-0.294003\pi\)
\(480\) −0.680763 5.41061i −0.0310724 0.246960i
\(481\) −1.68484 + 5.18540i −0.0768220 + 0.236434i
\(482\) 60.5632i 2.75858i
\(483\) −4.56502 1.48326i −0.207716 0.0674909i
\(484\) −18.8738 + 13.7126i −0.857898 + 0.623299i
\(485\) −22.0927 + 2.77970i −1.00318 + 0.126220i
\(486\) −21.5992 15.6928i −0.979761 0.711838i
\(487\) −0.860980 1.18504i −0.0390147 0.0536992i 0.789064 0.614311i \(-0.210566\pi\)
−0.828079 + 0.560612i \(0.810566\pi\)
\(488\) −25.8222 35.5413i −1.16892 1.60888i
\(489\) 1.71343 + 1.24488i 0.0774842 + 0.0562955i
\(490\) 8.34603 7.82957i 0.377035 0.353704i
\(491\) 16.2359 11.7961i 0.732715 0.532348i −0.157706 0.987486i \(-0.550410\pi\)
0.890421 + 0.455138i \(0.150410\pi\)
\(492\) 2.76099 + 0.897100i 0.124475 + 0.0404444i
\(493\) 7.37229i 0.332031i
\(494\) 0.919998 2.83146i 0.0413927 0.127394i
\(495\) 12.1869 + 2.33110i 0.547758 + 0.104775i
\(496\) −0.879045 2.70542i −0.0394703 0.121477i
\(497\) 35.9745 11.6888i 1.61368 0.524315i
\(498\) −8.13384 + 11.1953i −0.364486 + 0.501672i
\(499\) −0.624999 −0.0279788 −0.0139894 0.999902i \(-0.504453\pi\)
−0.0139894 + 0.999902i \(0.504453\pi\)
\(500\) 9.32080 36.0767i 0.416839 1.61340i
\(501\) 4.95498 0.221372
\(502\) 14.8116 20.3865i 0.661075 0.909892i
\(503\) 18.3603 5.96563i 0.818647 0.265994i 0.130391 0.991463i \(-0.458377\pi\)
0.688256 + 0.725468i \(0.258377\pi\)
\(504\) 8.01054 + 24.6539i 0.356818 + 1.09817i
\(505\) 20.5264 + 3.92630i 0.913414 + 0.174718i
\(506\) −4.75164 + 14.6241i −0.211236 + 0.650119i
\(507\) 5.20639i 0.231224i
\(508\) −36.0100 11.7003i −1.59768 0.519119i
\(509\) −8.51099 + 6.18360i −0.377243 + 0.274083i −0.760208 0.649680i \(-0.774903\pi\)
0.382965 + 0.923763i \(0.374903\pi\)
\(510\) −3.32697 + 3.12110i −0.147321 + 0.138204i
\(511\) −0.657310 0.477563i −0.0290777 0.0211262i
\(512\) −2.93146 4.03481i −0.129554 0.178315i
\(513\) 1.45605 + 2.00408i 0.0642862 + 0.0884824i
\(514\) 12.2940 + 8.93210i 0.542264 + 0.393978i
\(515\) −20.1537 + 2.53574i −0.888079 + 0.111738i
\(516\) 4.60254 3.34394i 0.202616 0.147209i
\(517\) 9.13004 + 2.96653i 0.401539 + 0.130468i
\(518\) 26.7818i 1.17672i
\(519\) 1.12650 3.46703i 0.0494481 0.152186i
\(520\) 1.22613 + 9.74510i 0.0537692 + 0.427351i
\(521\) −3.09232 9.51719i −0.135477 0.416956i 0.860187 0.509979i \(-0.170347\pi\)
−0.995664 + 0.0930234i \(0.970347\pi\)
\(522\) −24.1487 + 7.84638i −1.05696 + 0.343427i
\(523\) 13.3915 18.4319i 0.585571 0.805970i −0.408721 0.912659i \(-0.634025\pi\)
0.994292 + 0.106690i \(0.0340252\pi\)
\(524\) −26.6210 −1.16295
\(525\) −0.459848 + 7.19391i −0.0200694 + 0.313968i
\(526\) −62.5981 −2.72941
\(527\) 7.04162 9.69196i 0.306738 0.422188i
\(528\) −0.399012 + 0.129647i −0.0173648 + 0.00564216i
\(529\) 3.68213 + 11.3324i 0.160092 + 0.492714i
\(530\) −23.6658 + 42.9968i −1.02798 + 1.86766i
\(531\) −9.12710 + 28.0903i −0.396082 + 1.21902i
\(532\) 9.13943i 0.396245i
\(533\) 2.48969 + 0.808950i 0.107841 + 0.0350395i
\(534\) −4.23029 + 3.07349i −0.183063 + 0.133003i
\(535\) 2.36462 12.3621i 0.102231 0.534459i
\(536\) 26.6175 + 19.3387i 1.14970 + 0.835306i
\(537\) 4.33136 + 5.96161i 0.186912 + 0.257262i
\(538\) −1.37019 1.88590i −0.0590730 0.0813070i
\(539\) 3.58586 + 2.60528i 0.154454 + 0.112217i
\(540\) −17.9036 9.85429i −0.770449 0.424061i
\(541\) −2.63658 + 1.91559i −0.113356 + 0.0823576i −0.643019 0.765850i \(-0.722318\pi\)
0.529663 + 0.848208i \(0.322318\pi\)
\(542\) −13.7310 4.46148i −0.589798 0.191637i
\(543\) 0.755360i 0.0324156i
\(544\) 2.95203 9.08540i 0.126567 0.389533i
\(545\) −20.4660 + 9.61803i −0.876667 + 0.411991i
\(546\) −1.46834 4.51908i −0.0628391 0.193399i
\(547\) −12.9232 + 4.19901i −0.552557 + 0.179537i −0.571970 0.820275i \(-0.693821\pi\)
0.0194122 + 0.999812i \(0.493821\pi\)
\(548\) 18.2911 25.1756i 0.781359 1.07545i
\(549\) 39.6033 1.69023
\(550\) 23.0457 + 1.47312i 0.982672 + 0.0628142i
\(551\) 3.57992 0.152510
\(552\) 2.86025 3.93679i 0.121740 0.167561i
\(553\) 24.7487 8.04133i 1.05242 0.341952i
\(554\) 17.6049 + 54.1822i 0.747959 + 2.30198i
\(555\) −2.77555 2.95863i −0.117816 0.125587i
\(556\) 18.4503 56.7841i 0.782466 2.40818i
\(557\) 27.6399i 1.17114i 0.810621 + 0.585571i \(0.199130\pi\)
−0.810621 + 0.585571i \(0.800870\pi\)
\(558\) 39.2414 + 12.7503i 1.66122 + 0.539764i
\(559\) 4.15029 3.01536i 0.175539 0.127536i
\(560\) 1.27534 + 2.71378i 0.0538931 + 0.114678i
\(561\) −1.42943 1.03854i −0.0603506 0.0438473i
\(562\) 2.49606 + 3.43554i 0.105290 + 0.144919i
\(563\) 0.975284 + 1.34236i 0.0411033 + 0.0565738i 0.829074 0.559139i \(-0.188868\pi\)
−0.787971 + 0.615713i \(0.788868\pi\)
\(564\) −6.14612 4.46542i −0.258799 0.188028i
\(565\) −10.1877 21.6782i −0.428601 0.912010i
\(566\) 16.1438 11.7291i 0.678574 0.493013i
\(567\) −20.2715 6.58660i −0.851322 0.276611i
\(568\) 38.3475i 1.60902i
\(569\) −5.52609 + 17.0076i −0.231666 + 0.712994i 0.765880 + 0.642983i \(0.222303\pi\)
−0.997546 + 0.0700110i \(0.977697\pi\)
\(570\) 1.51558 + 1.61555i 0.0634805 + 0.0676678i
\(571\) −11.3942 35.0677i −0.476832 1.46754i −0.843472 0.537174i \(-0.819492\pi\)
0.366640 0.930363i \(-0.380508\pi\)
\(572\) −9.04746 + 2.93970i −0.378293 + 0.122915i
\(573\) 5.49027 7.55670i 0.229359 0.315686i
\(574\) 12.8589 0.536718
\(575\) −14.0641 + 8.90560i −0.586515 + 0.371389i
\(576\) 35.3531 1.47305
\(577\) 13.4095 18.4567i 0.558247 0.768361i −0.432855 0.901463i \(-0.642494\pi\)
0.991102 + 0.133103i \(0.0424940\pi\)
\(578\) 29.7361 9.66184i 1.23686 0.401880i
\(579\) −1.92394 5.92127i −0.0799560 0.246079i
\(580\) −26.7293 + 12.5615i −1.10987 + 0.521587i
\(581\) −11.8373 + 36.4316i −0.491096 + 1.51144i
\(582\) 10.9208i 0.452682i
\(583\) −18.0791 5.87425i −0.748759 0.243286i
\(584\) 0.666375 0.484149i 0.0275748 0.0200342i
\(585\) −7.75691 4.26947i −0.320709 0.176521i
\(586\) −11.7542 8.53990i −0.485560 0.352780i
\(587\) −6.51588 8.96834i −0.268939 0.370163i 0.653092 0.757278i \(-0.273471\pi\)
−0.922031 + 0.387116i \(0.873471\pi\)
\(588\) −2.06173 2.83773i −0.0850244 0.117026i
\(589\) −4.70633 3.41935i −0.193921 0.140892i
\(590\) −10.3276 + 53.9919i −0.425179 + 2.22281i
\(591\) 1.31762 0.957311i 0.0541998 0.0393785i
\(592\) −1.60487 0.521454i −0.0659597 0.0214316i
\(593\) 11.1321i 0.457139i 0.973528 + 0.228570i \(0.0734049\pi\)
−0.973528 + 0.228570i \(0.926595\pi\)
\(594\) 3.91385 12.0456i 0.160587 0.494237i
\(595\) −6.08909 + 11.0629i −0.249628 + 0.453533i
\(596\) −6.50259 20.0129i −0.266356 0.819760i
\(597\) 7.99253 2.59693i 0.327112 0.106285i
\(598\) 6.44968 8.87722i 0.263747 0.363017i
\(599\) −36.2736 −1.48210 −0.741049 0.671451i \(-0.765671\pi\)
−0.741049 + 0.671451i \(0.765671\pi\)
\(600\) −6.79211 2.69707i −0.277287 0.110107i
\(601\) −15.1051 −0.616150 −0.308075 0.951362i \(-0.599685\pi\)
−0.308075 + 0.951362i \(0.599685\pi\)
\(602\) 14.8116 20.3865i 0.603677 0.830890i
\(603\) −28.2079 + 9.16531i −1.14872 + 0.373240i
\(604\) −4.86047 14.9590i −0.197770 0.608673i
\(605\) −1.95399 15.5300i −0.0794408 0.631386i
\(606\) 3.16734 9.74806i 0.128664 0.395988i
\(607\) 33.5066i 1.35999i 0.733216 + 0.679996i \(0.238018\pi\)
−0.733216 + 0.679996i \(0.761982\pi\)
\(608\) −4.41179 1.43348i −0.178922 0.0581352i
\(609\) 4.62243 3.35839i 0.187310 0.136089i
\(610\) 73.1310 9.20132i 2.96099 0.372551i
\(611\) −5.54220 4.02664i −0.224213 0.162900i
\(612\) −10.1105 13.9159i −0.408692 0.562516i
\(613\) 16.4750 + 22.6758i 0.665418 + 0.915869i 0.999646 0.0266235i \(-0.00847552\pi\)
−0.334228 + 0.942492i \(0.608476\pi\)
\(614\) −53.5552 38.9102i −2.16131 1.57029i
\(615\) −1.42054 + 1.33264i −0.0572818 + 0.0537372i
\(616\) −15.1178 + 10.9837i −0.609112 + 0.442545i
\(617\) −29.0284 9.43191i −1.16864 0.379714i −0.340505 0.940243i \(-0.610598\pi\)
−0.828135 + 0.560528i \(0.810598\pi\)
\(618\) 9.96234i 0.400744i
\(619\) 6.70477 20.6352i 0.269488 0.829398i −0.721138 0.692792i \(-0.756381\pi\)
0.990625 0.136606i \(-0.0436194\pi\)
\(620\) 47.1377 + 9.01650i 1.89309 + 0.362111i
\(621\) 2.82134 + 8.68318i 0.113216 + 0.348444i
\(622\) −17.2109 + 5.59216i −0.690094 + 0.224225i
\(623\) −8.50798 + 11.7102i −0.340865 + 0.469161i
\(624\) 0.299391 0.0119852
\(625\) 18.1898 + 17.1502i 0.727594 + 0.686008i
\(626\) 49.4399 1.97601
\(627\) −0.504306 + 0.694118i −0.0201401 + 0.0277204i
\(628\) −4.65643 + 1.51297i −0.185812 + 0.0603740i
\(629\) −2.19604 6.75873i −0.0875620 0.269488i
\(630\) −42.7182 8.17114i −1.70193 0.325546i
\(631\) −5.01463 + 15.4335i −0.199629 + 0.614396i 0.800262 + 0.599651i \(0.204694\pi\)
−0.999891 + 0.0147456i \(0.995306\pi\)
\(632\) 26.3812i 1.04939i
\(633\) −1.46503 0.476017i −0.0582297 0.0189200i
\(634\) 7.51003 5.45635i 0.298261 0.216699i
\(635\) 18.5273 17.3808i 0.735233 0.689737i
\(636\) 12.1704 + 8.84231i 0.482588 + 0.350620i
\(637\) −1.85914 2.55889i −0.0736619 0.101387i
\(638\) −10.7586 14.8080i −0.425937 0.586253i
\(639\) −27.9673 20.3194i −1.10637 0.803823i
\(640\) 42.4964 5.34689i 1.67982 0.211355i
\(641\) 17.9419 13.0356i 0.708663 0.514874i −0.174079 0.984732i \(-0.555695\pi\)
0.882742 + 0.469858i \(0.155695\pi\)
\(642\) −5.87078 1.90753i −0.231701 0.0752843i
\(643\) 13.2767i 0.523583i −0.965124 0.261792i \(-0.915687\pi\)
0.965124 0.261792i \(-0.0843133\pi\)
\(644\) 10.4092 32.0362i 0.410179 1.26240i
\(645\) 0.476498 + 3.78714i 0.0187621 + 0.149119i
\(646\) 1.19914 + 3.69057i 0.0471795 + 0.145204i
\(647\) −10.7329 + 3.48735i −0.421956 + 0.137102i −0.512295 0.858809i \(-0.671205\pi\)
0.0903397 + 0.995911i \(0.471205\pi\)
\(648\) 12.7012 17.4818i 0.498952 0.686748i
\(649\) −21.2912 −0.835754
\(650\) −15.3158 6.08173i −0.600735 0.238545i
\(651\) −9.28462 −0.363893
\(652\) −8.73627 + 12.0245i −0.342139 + 0.470914i
\(653\) 34.0606 11.0669i 1.33289 0.433083i 0.445989 0.895038i \(-0.352852\pi\)
0.886903 + 0.461955i \(0.152852\pi\)
\(654\) 3.42722 + 10.5479i 0.134015 + 0.412456i
\(655\) 8.61248 15.6475i 0.336518 0.611397i
\(656\) −0.250368 + 0.770554i −0.00977523 + 0.0300851i
\(657\) 0.742534i 0.0289690i
\(658\) −32.0032 10.3985i −1.24762 0.405375i
\(659\) 32.1710 23.3736i 1.25320 0.910506i 0.254801 0.966994i \(-0.417990\pi\)
0.998403 + 0.0564876i \(0.0179902\pi\)
\(660\) 1.32981 6.95215i 0.0517627 0.270612i
\(661\) 5.05420 + 3.67209i 0.196586 + 0.142828i 0.681724 0.731610i \(-0.261231\pi\)
−0.485138 + 0.874438i \(0.661231\pi\)
\(662\) 15.8049 + 21.7536i 0.614274 + 0.845476i
\(663\) 0.741109 + 1.02005i 0.0287823 + 0.0396154i
\(664\) −31.4180 22.8265i −1.21925 0.885839i
\(665\) 5.37202 + 2.95681i 0.208318 + 0.114660i
\(666\) 19.8016 14.3867i 0.767298 0.557474i
\(667\) 12.5486 + 4.07728i 0.485882 + 0.157873i
\(668\) 34.7728i 1.34540i
\(669\) −4.21398 + 12.9693i −0.162922 + 0.501422i
\(670\) −49.9590 + 23.4783i −1.93008 + 0.907047i
\(671\) 8.82193 + 27.1511i 0.340567 + 1.04816i
\(672\) −7.04132 + 2.28786i −0.271625 + 0.0882563i
\(673\) −24.3712 + 33.5441i −0.939440 + 1.29303i 0.0166215 + 0.999862i \(0.494709\pi\)
−0.956061 + 0.293166i \(0.905291\pi\)
\(674\) 49.7297 1.91552
\(675\) 11.5844 7.33540i 0.445884 0.282340i
\(676\) −36.5372 −1.40528
\(677\) 0.845914 1.16430i 0.0325111 0.0447477i −0.792452 0.609934i \(-0.791196\pi\)
0.824963 + 0.565187i \(0.191196\pi\)
\(678\) −11.1727 + 3.63023i −0.429084 + 0.139418i
\(679\) 9.34183 + 28.7512i 0.358507 + 1.10337i
\(680\) −8.75892 9.33669i −0.335889 0.358046i
\(681\) 1.72004 5.29373i 0.0659120 0.202856i
\(682\) 29.7433i 1.13893i
\(683\) −8.07088 2.62239i −0.308824 0.100343i 0.150505 0.988609i \(-0.451910\pi\)
−0.459329 + 0.888266i \(0.651910\pi\)
\(684\) −6.75742 + 4.90955i −0.258376 + 0.187721i
\(685\) 8.88027 + 18.8961i 0.339298 + 0.721984i
\(686\) 27.1321 + 19.7126i 1.03591 + 0.752631i
\(687\) −4.57827 6.30145i −0.174672 0.240415i
\(688\) 0.933247 + 1.28450i 0.0355797 + 0.0489713i
\(689\) 10.9745 + 7.97345i 0.418096 + 0.303764i
\(690\) 3.47250 + 7.38906i 0.132196 + 0.281297i
\(691\) 35.4186 25.7331i 1.34739 0.978933i 0.348248 0.937402i \(-0.386777\pi\)
0.999137 0.0415304i \(-0.0132233\pi\)
\(692\) 24.3307 + 7.90553i 0.924915 + 0.300523i
\(693\) 16.8456i 0.639910i
\(694\) −11.1303 + 34.2554i −0.422499 + 1.30032i
\(695\) 27.4078 + 29.2157i 1.03964 + 1.10821i
\(696\) 1.78996 + 5.50893i 0.0678482 + 0.208815i
\(697\) −3.24510 + 1.05440i −0.122917 + 0.0399381i
\(698\) 7.55503 10.3986i 0.285962 0.393593i
\(699\) −10.6922 −0.404418
\(700\) −50.4850 3.22710i −1.90816 0.121973i
\(701\) 0.840795 0.0317564 0.0158782 0.999874i \(-0.494946\pi\)
0.0158782 + 0.999874i \(0.494946\pi\)
\(702\) −5.31250 + 7.31203i −0.200507 + 0.275975i
\(703\) −3.28198 + 1.06638i −0.123782 + 0.0402192i
\(704\) 7.87517 + 24.2373i 0.296807 + 0.913477i
\(705\) 4.61311 2.16794i 0.173740 0.0816494i
\(706\) 5.72466 17.6187i 0.215450 0.663088i
\(707\) 28.3731i 1.06708i
\(708\) 16.0245 + 5.20668i 0.602238 + 0.195679i
\(709\) −10.8256 + 7.86529i −0.406566 + 0.295387i −0.772210 0.635367i \(-0.780849\pi\)
0.365644 + 0.930755i \(0.380849\pi\)
\(710\) −56.3650 31.0238i −2.11534 1.16430i
\(711\) −19.2401 13.9787i −0.721560 0.524244i
\(712\) −8.62531 11.8717i −0.323247 0.444912i
\(713\) −12.6025 17.3459i −0.471969 0.649610i
\(714\) 5.01054 + 3.64037i 0.187515 + 0.136237i
\(715\) 1.19914 6.26902i 0.0448453 0.234448i
\(716\) −41.8371 + 30.3964i −1.56353 + 1.13597i
\(717\) 2.99601 + 0.973461i 0.111888 + 0.0363546i
\(718\) 28.5027i 1.06371i
\(719\) −13.4159 + 41.2900i −0.500329 + 1.53986i 0.308154 + 0.951336i \(0.400289\pi\)
−0.808483 + 0.588519i \(0.799711\pi\)
\(720\) 1.32139 2.40075i 0.0492453 0.0894705i
\(721\) 8.52195 + 26.2279i 0.317374 + 0.976776i
\(722\) −39.9367 + 12.9762i −1.48629 + 0.482924i
\(723\) 7.32076 10.0762i 0.272262 0.374737i
\(724\) 5.30093 0.197007
\(725\) 1.26405 19.7750i 0.0469458 0.734425i
\(726\) −7.67677 −0.284912
\(727\) 18.8373 25.9274i 0.698639 0.961593i −0.301329 0.953520i \(-0.597430\pi\)
0.999967 0.00807318i \(-0.00256980\pi\)
\(728\) 12.6822 4.12069i 0.470033 0.152723i
\(729\) 4.81224 + 14.8106i 0.178231 + 0.548539i
\(730\) 0.172519 + 1.37116i 0.00638520 + 0.0507487i
\(731\) −2.06626 + 6.35930i −0.0764235 + 0.235207i
\(732\) 22.5922i 0.835032i
\(733\) 7.74091 + 2.51517i 0.285917 + 0.0929001i 0.448465 0.893801i \(-0.351971\pi\)
−0.162547 + 0.986701i \(0.551971\pi\)
\(734\) 50.2089 36.4789i 1.85324 1.34646i
\(735\) 2.33499 0.293788i 0.0861274 0.0108365i
\(736\) −13.8319 10.0494i −0.509850 0.370427i
\(737\) −12.5671 17.2971i −0.462914 0.637146i
\(738\) −6.90757 9.50745i −0.254271 0.349974i
\(739\) −5.76598 4.18923i −0.212105 0.154103i 0.476661 0.879087i \(-0.341847\pi\)
−0.688766 + 0.724984i \(0.741847\pi\)
\(740\) 20.7629 19.4781i 0.763261 0.716030i
\(741\) 0.495326 0.359876i 0.0181963 0.0132204i
\(742\) 63.3720 + 20.5908i 2.32646 + 0.755912i
\(743\) 21.9040i 0.803578i 0.915732 + 0.401789i \(0.131612\pi\)
−0.915732 + 0.401789i \(0.868388\pi\)
\(744\) 2.90867 8.95197i 0.106637 0.328195i
\(745\) 13.8670 + 2.65248i 0.508048 + 0.0971795i
\(746\) −19.7233 60.7020i −0.722120 2.22246i
\(747\) 33.2953 10.8183i 1.21821 0.395820i
\(748\) 7.28823 10.0314i 0.266484 0.366784i
\(749\) −17.0877 −0.624373
\(750\) 9.45922 7.80140i 0.345402 0.284867i
\(751\) 9.21909 0.336409 0.168205 0.985752i \(-0.446203\pi\)
0.168205 + 0.985752i \(0.446203\pi\)
\(752\) 1.24624 1.71530i 0.0454456 0.0625504i
\(753\) 4.92855 1.60138i 0.179606 0.0583577i
\(754\) 4.03625 + 12.4223i 0.146991 + 0.452393i
\(755\) 10.3651 + 1.98265i 0.377226 + 0.0721559i
\(756\) −8.57388 + 26.3877i −0.311829 + 0.959711i
\(757\) 45.6524i 1.65926i −0.558311 0.829632i \(-0.688550\pi\)
0.558311 0.829632i \(-0.311450\pi\)
\(758\) −7.63114 2.47951i −0.277176 0.0900598i
\(759\) −2.55828 + 1.85870i −0.0928597 + 0.0674666i
\(760\) −4.53381 + 4.25325i −0.164459 + 0.154282i
\(761\) −32.2844 23.4560i −1.17031 0.850280i −0.179264 0.983801i \(-0.557372\pi\)
−0.991046 + 0.133521i \(0.957372\pi\)
\(762\) −7.32340 10.0798i −0.265299 0.365153i
\(763\) 18.0457 + 24.8378i 0.653299 + 0.899188i
\(764\) 53.0310 + 38.5293i 1.91860 + 1.39394i
\(765\) 11.4505 1.44070i 0.413994 0.0520886i
\(766\) −51.1373 + 37.1534i −1.84767 + 1.34241i
\(767\) 14.4499 + 4.69506i 0.521756 + 0.169529i
\(768\) 8.90403i 0.321296i
\(769\) 13.7024 42.1717i 0.494122 1.52075i −0.324198 0.945989i \(-0.605094\pi\)
0.818320 0.574762i \(-0.194906\pi\)
\(770\) −3.91385 31.1068i −0.141046 1.12101i
\(771\) 0.965710 + 2.97215i 0.0347792 + 0.107039i
\(772\) 41.5540 13.5017i 1.49556 0.485937i