Properties

Label 64.2.i.a.5.5
Level $64$
Weight $2$
Character 64.5
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 5.5
Character \(\chi\) \(=\) 64.5
Dual form 64.2.i.a.13.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.406933 - 1.35440i) q^{2} +(1.06920 + 0.714416i) q^{3} +(-1.66881 - 1.10230i) q^{4} +(-0.330507 - 0.0657419i) q^{5} +(1.40270 - 1.15741i) q^{6} +(-0.739314 + 1.78486i) q^{7} +(-2.17206 + 1.81168i) q^{8} +(-0.515254 - 1.24393i) q^{9} +O(q^{10})\) \(q+(0.406933 - 1.35440i) q^{2} +(1.06920 + 0.714416i) q^{3} +(-1.66881 - 1.10230i) q^{4} +(-0.330507 - 0.0657419i) q^{5} +(1.40270 - 1.15741i) q^{6} +(-0.739314 + 1.78486i) q^{7} +(-2.17206 + 1.81168i) q^{8} +(-0.515254 - 1.24393i) q^{9} +(-0.223535 + 0.420887i) q^{10} +(0.971610 + 1.45412i) q^{11} +(-0.996787 - 2.37081i) q^{12} +(-3.70516 + 0.737003i) q^{13} +(2.11657 + 1.72765i) q^{14} +(-0.306411 - 0.306411i) q^{15} +(1.56986 + 3.67907i) q^{16} +(4.47305 - 4.47305i) q^{17} +(-1.89446 + 0.191663i) q^{18} +(1.16088 + 5.83613i) q^{19} +(0.479086 + 0.474030i) q^{20} +(-2.06561 + 1.38019i) q^{21} +(2.36484 - 0.724221i) q^{22} +(-1.28371 + 0.531730i) q^{23} +(-3.61665 + 0.385291i) q^{24} +(-4.51448 - 1.86996i) q^{25} +(-0.509557 + 5.31819i) q^{26} +(1.09039 - 5.48174i) q^{27} +(3.20123 - 2.16365i) q^{28} +(3.04996 - 4.56458i) q^{29} +(-0.539692 + 0.290314i) q^{30} -10.2910i q^{31} +(5.62177 - 0.629080i) q^{32} +2.24887i q^{33} +(-4.23807 - 7.87854i) q^{34} +(0.361689 - 0.541305i) q^{35} +(-0.511331 + 2.64386i) q^{36} +(-0.910827 + 4.57904i) q^{37} +(8.37686 + 0.802620i) q^{38} +(-4.48808 - 1.85903i) q^{39} +(0.836983 - 0.455977i) q^{40} +(2.66002 - 1.10181i) q^{41} +(1.02877 + 3.35931i) q^{42} +(-5.83495 + 3.89879i) q^{43} +(-0.0185551 - 3.49765i) q^{44} +(0.0885166 + 0.445003i) q^{45} +(0.197792 + 1.95504i) q^{46} +(-0.0482001 + 0.0482001i) q^{47} +(-0.949897 + 5.05519i) q^{48} +(2.31060 + 2.31060i) q^{49} +(-4.36977 + 5.35348i) q^{50} +(7.97819 - 1.58696i) q^{51} +(6.99562 + 2.85430i) q^{52} +(6.43049 + 9.62391i) q^{53} +(-6.98076 - 3.70752i) q^{54} +(-0.225527 - 0.544471i) q^{55} +(-1.62776 - 5.21622i) q^{56} +(-2.92821 + 7.06933i) q^{57} +(-4.94115 - 5.98835i) q^{58} +(-2.89770 - 0.576389i) q^{59} +(0.173584 + 0.849098i) q^{60} +(-0.675800 - 0.451555i) q^{61} +(-13.9382 - 4.18776i) q^{62} +2.60119 q^{63} +(1.43566 - 7.87013i) q^{64} +1.27304 q^{65} +(3.04588 + 0.915141i) q^{66} +(-2.41244 - 1.61194i) q^{67} +(-12.3953 + 2.53401i) q^{68} +(-1.75242 - 0.348577i) q^{69} +(-0.585962 - 0.710147i) q^{70} +(-2.88474 + 6.96439i) q^{71} +(3.37277 + 1.76842i) q^{72} +(1.92544 + 4.64843i) q^{73} +(5.83121 + 3.09699i) q^{74} +(-3.49095 - 5.22458i) q^{75} +(4.49589 - 11.0190i) q^{76} +(-3.31372 + 0.659140i) q^{77} +(-4.34422 + 5.32217i) q^{78} +(10.5317 + 10.5317i) q^{79} +(-0.276979 - 1.31916i) q^{80} +(2.22588 - 2.22588i) q^{81} +(-0.409851 - 4.05110i) q^{82} +(-0.0104591 - 0.0525816i) q^{83} +(4.96850 - 0.0263579i) q^{84} +(-1.77244 + 1.18431i) q^{85} +(2.90609 + 9.48942i) q^{86} +(6.52202 - 2.70151i) q^{87} +(-4.74478 - 1.39818i) q^{88} +(-7.52277 - 3.11604i) q^{89} +(0.638733 + 0.0611995i) q^{90} +(1.42383 - 7.15808i) q^{91} +(2.72840 + 0.527681i) q^{92} +(7.35206 - 11.0031i) q^{93} +(0.0456681 + 0.0848966i) q^{94} -2.00520i q^{95} +(6.46021 + 3.34367i) q^{96} +12.1748i q^{97} +(4.06974 - 2.18922i) q^{98} +(1.30820 - 1.95786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.406933 1.35440i 0.287745 0.957707i
\(3\) 1.06920 + 0.714416i 0.617302 + 0.412468i 0.824525 0.565826i \(-0.191443\pi\)
−0.207223 + 0.978294i \(0.566443\pi\)
\(4\) −1.66881 1.10230i −0.834405 0.551152i
\(5\) −0.330507 0.0657419i −0.147807 0.0294007i 0.120632 0.992697i \(-0.461508\pi\)
−0.268439 + 0.963297i \(0.586508\pi\)
\(6\) 1.40270 1.15741i 0.572649 0.472509i
\(7\) −0.739314 + 1.78486i −0.279434 + 0.674614i −0.999820 0.0189592i \(-0.993965\pi\)
0.720386 + 0.693573i \(0.243965\pi\)
\(8\) −2.17206 + 1.81168i −0.767938 + 0.640524i
\(9\) −0.515254 1.24393i −0.171751 0.414645i
\(10\) −0.223535 + 0.420887i −0.0706881 + 0.133096i
\(11\) 0.971610 + 1.45412i 0.292951 + 0.438433i 0.948527 0.316697i \(-0.102574\pi\)
−0.655575 + 0.755130i \(0.727574\pi\)
\(12\) −0.996787 2.37081i −0.287748 0.684392i
\(13\) −3.70516 + 0.737003i −1.02763 + 0.204408i −0.679990 0.733221i \(-0.738016\pi\)
−0.347638 + 0.937629i \(0.613016\pi\)
\(14\) 2.11657 + 1.72765i 0.565677 + 0.461733i
\(15\) −0.306411 0.306411i −0.0791149 0.0791149i
\(16\) 1.56986 + 3.67907i 0.392464 + 0.919767i
\(17\) 4.47305 4.47305i 1.08487 1.08487i 0.0888265 0.996047i \(-0.471688\pi\)
0.996047 0.0888265i \(-0.0283117\pi\)
\(18\) −1.89446 + 0.191663i −0.446529 + 0.0451755i
\(19\) 1.16088 + 5.83613i 0.266324 + 1.33890i 0.849944 + 0.526873i \(0.176636\pi\)
−0.583621 + 0.812026i \(0.698364\pi\)
\(20\) 0.479086 + 0.474030i 0.107127 + 0.105996i
\(21\) −2.06561 + 1.38019i −0.450752 + 0.301183i
\(22\) 2.36484 0.724221i 0.504185 0.154405i
\(23\) −1.28371 + 0.531730i −0.267672 + 0.110873i −0.512483 0.858697i \(-0.671274\pi\)
0.244811 + 0.969571i \(0.421274\pi\)
\(24\) −3.61665 + 0.385291i −0.738245 + 0.0786471i
\(25\) −4.51448 1.86996i −0.902897 0.373992i
\(26\) −0.509557 + 5.31819i −0.0999323 + 1.04298i
\(27\) 1.09039 5.48174i 0.209845 1.05496i
\(28\) 3.20123 2.16365i 0.604976 0.408891i
\(29\) 3.04996 4.56458i 0.566362 0.847621i −0.432169 0.901793i \(-0.642252\pi\)
0.998532 + 0.0541712i \(0.0172517\pi\)
\(30\) −0.539692 + 0.290314i −0.0985338 + 0.0530039i
\(31\) 10.2910i 1.84832i −0.382004 0.924161i \(-0.624766\pi\)
0.382004 0.924161i \(-0.375234\pi\)
\(32\) 5.62177 0.629080i 0.993797 0.111207i
\(33\) 2.24887i 0.391478i
\(34\) −4.23807 7.87854i −0.726824 1.35116i
\(35\) 0.361689 0.541305i 0.0611366 0.0914973i
\(36\) −0.511331 + 2.64386i −0.0852218 + 0.440643i
\(37\) −0.910827 + 4.57904i −0.149739 + 0.752789i 0.830816 + 0.556547i \(0.187874\pi\)
−0.980555 + 0.196242i \(0.937126\pi\)
\(38\) 8.37686 + 0.802620i 1.35891 + 0.130202i
\(39\) −4.48808 1.85903i −0.718669 0.297682i
\(40\) 0.836983 0.455977i 0.132339 0.0720962i
\(41\) 2.66002 1.10181i 0.415425 0.172074i −0.165174 0.986264i \(-0.552819\pi\)
0.580599 + 0.814190i \(0.302819\pi\)
\(42\) 1.02877 + 3.35931i 0.158743 + 0.518353i
\(43\) −5.83495 + 3.89879i −0.889821 + 0.594560i −0.914254 0.405142i \(-0.867222\pi\)
0.0244324 + 0.999701i \(0.492222\pi\)
\(44\) −0.0185551 3.49765i −0.00279729 0.527291i
\(45\) 0.0885166 + 0.445003i 0.0131953 + 0.0663371i
\(46\) 0.197792 + 1.95504i 0.0291628 + 0.288255i
\(47\) −0.0482001 + 0.0482001i −0.00703071 + 0.00703071i −0.710613 0.703583i \(-0.751582\pi\)
0.703583 + 0.710613i \(0.251582\pi\)
\(48\) −0.949897 + 5.05519i −0.137106 + 0.729653i
\(49\) 2.31060 + 2.31060i 0.330086 + 0.330086i
\(50\) −4.36977 + 5.35348i −0.617979 + 0.757096i
\(51\) 7.97819 1.58696i 1.11717 0.222219i
\(52\) 6.99562 + 2.85430i 0.970118 + 0.395820i
\(53\) 6.43049 + 9.62391i 0.883296 + 1.32195i 0.946085 + 0.323919i \(0.105001\pi\)
−0.0627888 + 0.998027i \(0.519999\pi\)
\(54\) −6.98076 3.70752i −0.949961 0.504530i
\(55\) −0.225527 0.544471i −0.0304101 0.0734165i
\(56\) −1.62776 5.21622i −0.217519 0.697046i
\(57\) −2.92821 + 7.06933i −0.387851 + 0.936355i
\(58\) −4.94115 5.98835i −0.648805 0.786308i
\(59\) −2.89770 0.576389i −0.377249 0.0750395i 0.00282397 0.999996i \(-0.499101\pi\)
−0.380073 + 0.924957i \(0.624101\pi\)
\(60\) 0.173584 + 0.849098i 0.0224096 + 0.109618i
\(61\) −0.675800 0.451555i −0.0865273 0.0578157i 0.511554 0.859251i \(-0.329070\pi\)
−0.598081 + 0.801435i \(0.704070\pi\)
\(62\) −13.9382 4.18776i −1.77015 0.531846i
\(63\) 2.60119 0.327719
\(64\) 1.43566 7.87013i 0.179457 0.983766i
\(65\) 1.27304 0.157901
\(66\) 3.04588 + 0.915141i 0.374922 + 0.112646i
\(67\) −2.41244 1.61194i −0.294727 0.196930i 0.399412 0.916772i \(-0.369214\pi\)
−0.694138 + 0.719842i \(0.744214\pi\)
\(68\) −12.3953 + 2.53401i −1.50315 + 0.307294i
\(69\) −1.75242 0.348577i −0.210966 0.0419638i
\(70\) −0.585962 0.710147i −0.0700359 0.0848788i
\(71\) −2.88474 + 6.96439i −0.342356 + 0.826521i 0.655121 + 0.755524i \(0.272618\pi\)
−0.997477 + 0.0709962i \(0.977382\pi\)
\(72\) 3.37277 + 1.76842i 0.397485 + 0.208410i
\(73\) 1.92544 + 4.64843i 0.225356 + 0.544057i 0.995601 0.0936903i \(-0.0298663\pi\)
−0.770246 + 0.637747i \(0.779866\pi\)
\(74\) 5.83121 + 3.09699i 0.677865 + 0.360018i
\(75\) −3.49095 5.22458i −0.403100 0.603282i
\(76\) 4.49589 11.0190i 0.515714 1.26397i
\(77\) −3.31372 + 0.659140i −0.377634 + 0.0751160i
\(78\) −4.34422 + 5.32217i −0.491886 + 0.602617i
\(79\) 10.5317 + 10.5317i 1.18490 + 1.18490i 0.978458 + 0.206445i \(0.0661896\pi\)
0.206445 + 0.978458i \(0.433810\pi\)
\(80\) −0.276979 1.31916i −0.0309672 0.147487i
\(81\) 2.22588 2.22588i 0.247320 0.247320i
\(82\) −0.409851 4.05110i −0.0452604 0.447369i
\(83\) −0.0104591 0.0525816i −0.00114804 0.00577158i 0.980207 0.197975i \(-0.0634366\pi\)
−0.981355 + 0.192204i \(0.938437\pi\)
\(84\) 4.96850 0.0263579i 0.542108 0.00287589i
\(85\) −1.77244 + 1.18431i −0.192248 + 0.128456i
\(86\) 2.90609 + 9.48942i 0.313372 + 1.02327i
\(87\) 6.52202 2.70151i 0.699233 0.289632i
\(88\) −4.74478 1.39818i −0.505795 0.149047i
\(89\) −7.52277 3.11604i −0.797413 0.330299i −0.0534930 0.998568i \(-0.517035\pi\)
−0.743920 + 0.668269i \(0.767035\pi\)
\(90\) 0.638733 + 0.0611995i 0.0673284 + 0.00645099i
\(91\) 1.42383 7.15808i 0.149258 0.750371i
\(92\) 2.72840 + 0.527681i 0.284455 + 0.0550145i
\(93\) 7.35206 11.0031i 0.762373 1.14097i
\(94\) 0.0456681 + 0.0848966i 0.00471031 + 0.00875642i
\(95\) 2.00520i 0.205729i
\(96\) 6.46021 + 3.34367i 0.659342 + 0.341262i
\(97\) 12.1748i 1.23616i 0.786115 + 0.618081i \(0.212090\pi\)
−0.786115 + 0.618081i \(0.787910\pi\)
\(98\) 4.06974 2.18922i 0.411106 0.221145i
\(99\) 1.30820 1.95786i 0.131479 0.196772i
\(100\) 5.47256 + 8.09694i 0.547256 + 0.809694i
\(101\) 3.22333 16.2048i 0.320733 1.61244i −0.398160 0.917316i \(-0.630351\pi\)
0.718894 0.695120i \(-0.244649\pi\)
\(102\) 1.09721 11.4515i 0.108640 1.13386i
\(103\) −5.27535 2.18512i −0.519796 0.215306i 0.107331 0.994223i \(-0.465769\pi\)
−0.627127 + 0.778917i \(0.715769\pi\)
\(104\) 6.71262 8.31337i 0.658226 0.815193i
\(105\) 0.773434 0.320367i 0.0754794 0.0312646i
\(106\) 15.6514 4.79318i 1.52020 0.465555i
\(107\) −5.94629 + 3.97318i −0.574850 + 0.384102i −0.808745 0.588160i \(-0.799853\pi\)
0.233895 + 0.972262i \(0.424853\pi\)
\(108\) −7.86218 + 7.94604i −0.756539 + 0.764608i
\(109\) −0.986910 4.96153i −0.0945288 0.475229i −0.998831 0.0483359i \(-0.984608\pi\)
0.904302 0.426893i \(-0.140392\pi\)
\(110\) −0.829208 + 0.0838912i −0.0790618 + 0.00799871i
\(111\) −4.24519 + 4.24519i −0.402936 + 0.402936i
\(112\) −7.72725 + 0.0819886i −0.730156 + 0.00774719i
\(113\) −9.81440 9.81440i −0.923261 0.923261i 0.0739972 0.997258i \(-0.476424\pi\)
−0.997258 + 0.0739972i \(0.976424\pi\)
\(114\) 8.38312 + 6.84272i 0.785151 + 0.640879i
\(115\) 0.459232 0.0913470i 0.0428236 0.00851815i
\(116\) −10.1213 + 4.25544i −0.939744 + 0.395108i
\(117\) 2.82589 + 4.22924i 0.261253 + 0.390993i
\(118\) −1.95984 + 3.69010i −0.180417 + 0.339702i
\(119\) 4.67679 + 11.2908i 0.428720 + 1.03502i
\(120\) 1.22066 + 0.110424i 0.111430 + 0.0100803i
\(121\) 3.03909 7.33701i 0.276281 0.667001i
\(122\) −0.886592 + 0.731552i −0.0802683 + 0.0662316i
\(123\) 3.63124 + 0.722298i 0.327418 + 0.0651274i
\(124\) −11.3438 + 17.1738i −1.01870 + 1.54225i
\(125\) 2.77009 + 1.85091i 0.247764 + 0.165551i
\(126\) 1.05851 3.52305i 0.0942995 0.313858i
\(127\) 0.460345 0.0408490 0.0204245 0.999791i \(-0.493498\pi\)
0.0204245 + 0.999791i \(0.493498\pi\)
\(128\) −10.0751 5.14708i −0.890521 0.454941i
\(129\) −9.02408 −0.794526
\(130\) 0.518041 1.72420i 0.0454352 0.151222i
\(131\) −15.2355 10.1801i −1.33114 0.889437i −0.332575 0.943077i \(-0.607918\pi\)
−0.998560 + 0.0536401i \(0.982918\pi\)
\(132\) 2.47894 3.75294i 0.215764 0.326652i
\(133\) −11.2749 2.24272i −0.977660 0.194469i
\(134\) −3.16492 + 2.61146i −0.273407 + 0.225596i
\(135\) −0.720760 + 1.74007i −0.0620331 + 0.149761i
\(136\) −1.61200 + 17.8194i −0.138228 + 1.52800i
\(137\) 3.64275 + 8.79438i 0.311221 + 0.751355i 0.999660 + 0.0260607i \(0.00829631\pi\)
−0.688439 + 0.725294i \(0.741704\pi\)
\(138\) −1.18523 + 2.23163i −0.100894 + 0.189969i
\(139\) 3.24499 + 4.85647i 0.275237 + 0.411921i 0.943175 0.332296i \(-0.107823\pi\)
−0.667939 + 0.744216i \(0.732823\pi\)
\(140\) −1.20027 + 0.504646i −0.101442 + 0.0426503i
\(141\) −0.0859705 + 0.0171006i −0.00724002 + 0.00144013i
\(142\) 8.25868 + 6.74114i 0.693053 + 0.565704i
\(143\) −4.67166 4.67166i −0.390664 0.390664i
\(144\) 3.76765 3.84845i 0.313970 0.320705i
\(145\) −1.30812 + 1.30812i −0.108633 + 0.108633i
\(146\) 7.07937 0.716222i 0.585892 0.0592749i
\(147\) 0.819762 + 4.12122i 0.0676128 + 0.339913i
\(148\) 6.56748 6.63754i 0.539844 0.545602i
\(149\) 15.1308 10.1101i 1.23957 0.828252i 0.249435 0.968392i \(-0.419755\pi\)
0.990132 + 0.140140i \(0.0447552\pi\)
\(150\) −8.49676 + 2.60210i −0.693758 + 0.212460i
\(151\) 14.5143 6.01204i 1.18116 0.489252i 0.296293 0.955097i \(-0.404249\pi\)
0.884867 + 0.465844i \(0.154249\pi\)
\(152\) −13.0947 10.5733i −1.06212 0.857605i
\(153\) −7.86894 3.25942i −0.636166 0.263509i
\(154\) −0.455723 + 4.75634i −0.0367232 + 0.383277i
\(155\) −0.676551 + 3.40125i −0.0543419 + 0.273195i
\(156\) 5.44055 + 8.04959i 0.435593 + 0.644483i
\(157\) −3.85444 + 5.76858i −0.307618 + 0.460383i −0.952779 0.303663i \(-0.901790\pi\)
0.645161 + 0.764046i \(0.276790\pi\)
\(158\) 18.5498 9.97841i 1.47574 0.793840i
\(159\) 14.8839i 1.18037i
\(160\) −1.89939 0.161670i −0.150160 0.0127812i
\(161\) 2.68436i 0.211557i
\(162\) −2.10895 3.92052i −0.165695 0.308025i
\(163\) −9.11685 + 13.6443i −0.714087 + 1.06871i 0.279987 + 0.960004i \(0.409670\pi\)
−0.994074 + 0.108703i \(0.965330\pi\)
\(164\) −5.65359 1.09342i −0.441472 0.0853820i
\(165\) 0.147845 0.743268i 0.0115097 0.0578633i
\(166\) −0.0754728 0.00723135i −0.00585783 0.000561261i
\(167\) 1.98808 + 0.823489i 0.153842 + 0.0637235i 0.458276 0.888810i \(-0.348467\pi\)
−0.304434 + 0.952534i \(0.598467\pi\)
\(168\) 1.98615 6.74007i 0.153235 0.520008i
\(169\) 1.17464 0.486552i 0.0903569 0.0374270i
\(170\) 0.882763 + 2.88253i 0.0677048 + 0.221080i
\(171\) 6.66161 4.45114i 0.509426 0.340388i
\(172\) 14.0351 0.0744562i 1.07016 0.00567723i
\(173\) 1.79167 + 9.00732i 0.136218 + 0.684814i 0.987183 + 0.159592i \(0.0510178\pi\)
−0.850965 + 0.525222i \(0.823982\pi\)
\(174\) −1.00490 9.93277i −0.0761814 0.753001i
\(175\) 6.67524 6.67524i 0.504601 0.504601i
\(176\) −3.82451 + 5.85737i −0.288283 + 0.441516i
\(177\) −2.68644 2.68644i −0.201925 0.201925i
\(178\) −7.28163 + 8.92084i −0.545782 + 0.668645i
\(179\) 2.24858 0.447270i 0.168067 0.0334305i −0.110340 0.993894i \(-0.535194\pi\)
0.278406 + 0.960463i \(0.410194\pi\)
\(180\) 0.342811 0.840198i 0.0255516 0.0626246i
\(181\) −5.64020 8.44116i −0.419233 0.627426i 0.560400 0.828222i \(-0.310647\pi\)
−0.979633 + 0.200796i \(0.935647\pi\)
\(182\) −9.11552 4.84130i −0.675687 0.358861i
\(183\) −0.399966 0.965604i −0.0295663 0.0713795i
\(184\) 1.82497 3.48062i 0.134538 0.256594i
\(185\) 0.602070 1.45352i 0.0442650 0.106865i
\(186\) −11.9109 14.4352i −0.873348 1.05844i
\(187\) 10.8504 + 2.15828i 0.793459 + 0.157829i
\(188\) 0.133568 0.0273057i 0.00974145 0.00199148i
\(189\) 8.97800 + 5.99891i 0.653054 + 0.436356i
\(190\) −2.71585 0.815983i −0.197028 0.0591976i
\(191\) −15.2964 −1.10681 −0.553405 0.832912i \(-0.686672\pi\)
−0.553405 + 0.832912i \(0.686672\pi\)
\(192\) 7.15754 7.38907i 0.516551 0.533260i
\(193\) 13.0208 0.937258 0.468629 0.883395i \(-0.344748\pi\)
0.468629 + 0.883395i \(0.344748\pi\)
\(194\) 16.4895 + 4.95432i 1.18388 + 0.355700i
\(195\) 1.36113 + 0.909476i 0.0974724 + 0.0651289i
\(196\) −1.30897 6.40294i −0.0934980 0.457353i
\(197\) 4.45565 + 0.886285i 0.317452 + 0.0631452i 0.351245 0.936284i \(-0.385759\pi\)
−0.0337925 + 0.999429i \(0.510759\pi\)
\(198\) −2.11938 2.56855i −0.150618 0.182539i
\(199\) 3.49809 8.44513i 0.247973 0.598659i −0.750059 0.661371i \(-0.769975\pi\)
0.998032 + 0.0627118i \(0.0199749\pi\)
\(200\) 13.1935 4.11713i 0.932920 0.291125i
\(201\) −1.42778 3.44697i −0.100708 0.243131i
\(202\) −20.6361 10.9600i −1.45195 0.771140i
\(203\) 5.89227 + 8.81841i 0.413556 + 0.618931i
\(204\) −15.0634 6.14605i −1.05465 0.430309i
\(205\) −0.951589 + 0.189283i −0.0664619 + 0.0132201i
\(206\) −5.10625 + 6.25575i −0.355769 + 0.435859i
\(207\) 1.32287 + 1.32287i 0.0919461 + 0.0919461i
\(208\) −8.52806 12.4746i −0.591315 0.864956i
\(209\) −7.35849 + 7.35849i −0.508997 + 0.508997i
\(210\) −0.119169 1.17791i −0.00822347 0.0812834i
\(211\) −1.12050 5.63316i −0.0771387 0.387803i −0.999996 0.00266152i \(-0.999153\pi\)
0.922858 0.385141i \(-0.125847\pi\)
\(212\) −0.122805 23.1488i −0.00843427 1.58987i
\(213\) −8.05983 + 5.38541i −0.552250 + 0.369002i
\(214\) 2.96154 + 9.67049i 0.202447 + 0.661061i
\(215\) 2.18481 0.904976i 0.149003 0.0617189i
\(216\) 7.56275 + 13.8821i 0.514580 + 0.944555i
\(217\) 18.3680 + 7.60829i 1.24690 + 0.516484i
\(218\) −7.12152 0.682340i −0.482330 0.0462139i
\(219\) −1.26223 + 6.34566i −0.0852936 + 0.428800i
\(220\) −0.223810 + 1.15722i −0.0150893 + 0.0780197i
\(221\) −13.2767 + 19.8700i −0.893090 + 1.33660i
\(222\) 4.02219 + 7.47721i 0.269951 + 0.501837i
\(223\) 13.8411i 0.926872i −0.886130 0.463436i \(-0.846616\pi\)
0.886130 0.463436i \(-0.153384\pi\)
\(224\) −3.03343 + 10.4992i −0.202680 + 0.701505i
\(225\) 6.57923i 0.438615i
\(226\) −17.2865 + 9.29884i −1.14988 + 0.618550i
\(227\) 13.5582 20.2913i 0.899890 1.34678i −0.0377913 0.999286i \(-0.512032\pi\)
0.937682 0.347495i \(-0.112968\pi\)
\(228\) 12.6792 8.56959i 0.839698 0.567535i
\(229\) 1.91748 9.63980i 0.126710 0.637016i −0.864272 0.503025i \(-0.832221\pi\)
0.990982 0.133991i \(-0.0427795\pi\)
\(230\) 0.0631564 0.659157i 0.00416441 0.0434635i
\(231\) −4.01393 1.66262i −0.264097 0.109393i
\(232\) 1.64487 + 15.4401i 0.107991 + 1.01369i
\(233\) 13.0360 5.39971i 0.854020 0.353747i 0.0876541 0.996151i \(-0.472063\pi\)
0.766366 + 0.642404i \(0.222063\pi\)
\(234\) 6.87804 2.10637i 0.449631 0.137698i
\(235\) 0.0190993 0.0127617i 0.00124590 0.000832483i
\(236\) 4.20036 + 4.15603i 0.273420 + 0.270535i
\(237\) 3.73645 + 18.7844i 0.242709 + 1.22018i
\(238\) 17.1954 1.73966i 1.11461 0.112765i
\(239\) −20.8075 + 20.8075i −1.34592 + 1.34592i −0.455887 + 0.890038i \(0.650678\pi\)
−0.890038 + 0.455887i \(0.849322\pi\)
\(240\) 0.646285 1.60833i 0.0417175 0.103817i
\(241\) 5.88520 + 5.88520i 0.379099 + 0.379099i 0.870777 0.491678i \(-0.163616\pi\)
−0.491678 + 0.870777i \(0.663616\pi\)
\(242\) −8.70055 7.10182i −0.559293 0.456522i
\(243\) −12.4751 + 2.48145i −0.800278 + 0.159185i
\(244\) 0.630031 + 1.49850i 0.0403336 + 0.0959313i
\(245\) −0.611767 0.915574i −0.0390843 0.0584938i
\(246\) 2.45595 4.62423i 0.156586 0.294830i
\(247\) −8.60249 20.7682i −0.547363 1.32145i
\(248\) 18.6440 + 22.3527i 1.18389 + 1.41940i
\(249\) 0.0263822 0.0636924i 0.00167191 0.00403634i
\(250\) 3.63412 2.99861i 0.229842 0.189649i
\(251\) 8.08063 + 1.60734i 0.510045 + 0.101454i 0.443402 0.896323i \(-0.353771\pi\)
0.0666425 + 0.997777i \(0.478771\pi\)
\(252\) −4.34088 2.86729i −0.273450 0.180623i
\(253\) −2.02046 1.35003i −0.127025 0.0848757i
\(254\) 0.187330 0.623492i 0.0117541 0.0391214i
\(255\) −2.74118 −0.171659
\(256\) −11.0711 + 11.5512i −0.691944 + 0.721951i
\(257\) −14.0980 −0.879412 −0.439706 0.898142i \(-0.644917\pi\)
−0.439706 + 0.898142i \(0.644917\pi\)
\(258\) −3.67220 + 12.2222i −0.228621 + 0.760923i
\(259\) −7.49956 5.01105i −0.466000 0.311371i
\(260\) −2.12445 1.40327i −0.131753 0.0870271i
\(261\) −7.24954 1.44202i −0.448735 0.0892590i
\(262\) −19.9878 + 16.4924i −1.23485 + 1.01891i
\(263\) 5.62862 13.5887i 0.347076 0.837915i −0.649887 0.760031i \(-0.725184\pi\)
0.996962 0.0778837i \(-0.0248163\pi\)
\(264\) −4.07423 4.88468i −0.250751 0.300631i
\(265\) −1.49263 3.60352i −0.0916914 0.221363i
\(266\) −7.62569 + 14.3581i −0.467561 + 0.880355i
\(267\) −5.81720 8.70605i −0.356007 0.532802i
\(268\) 2.24906 + 5.34926i 0.137383 + 0.326758i
\(269\) −4.35266 + 0.865799i −0.265387 + 0.0527887i −0.325990 0.945373i \(-0.605698\pi\)
0.0606033 + 0.998162i \(0.480698\pi\)
\(270\) 2.06345 + 1.68429i 0.125578 + 0.102503i
\(271\) −8.75941 8.75941i −0.532096 0.532096i 0.389099 0.921196i \(-0.372786\pi\)
−0.921196 + 0.389099i \(0.872786\pi\)
\(272\) 23.4787 + 9.43461i 1.42361 + 0.572058i
\(273\) 6.63620 6.63620i 0.401641 0.401641i
\(274\) 13.3935 1.35502i 0.809130 0.0818600i
\(275\) −1.66718 8.38146i −0.100534 0.505421i
\(276\) 2.54021 + 2.51340i 0.152903 + 0.151289i
\(277\) −15.3547 + 10.2597i −0.922572 + 0.616443i −0.923517 0.383557i \(-0.874699\pi\)
0.000945275 1.00000i \(0.499699\pi\)
\(278\) 7.89811 2.41876i 0.473697 0.145068i
\(279\) −12.8013 + 5.30249i −0.766397 + 0.317452i
\(280\) 0.195062 + 1.83101i 0.0116572 + 0.109424i
\(281\) 14.0773 + 5.83101i 0.839781 + 0.347849i 0.760767 0.649025i \(-0.224823\pi\)
0.0790137 + 0.996874i \(0.474823\pi\)
\(282\) −0.0118232 + 0.123397i −0.000704060 + 0.00734821i
\(283\) 0.0531107 0.267006i 0.00315711 0.0158718i −0.979175 0.203020i \(-0.934924\pi\)
0.982332 + 0.187148i \(0.0599244\pi\)
\(284\) 12.4910 8.44238i 0.741202 0.500963i
\(285\) 1.43255 2.14396i 0.0848567 0.126997i
\(286\) −8.22836 + 4.42625i −0.486553 + 0.261730i
\(287\) 5.56235i 0.328335i
\(288\) −3.67917 6.66897i −0.216797 0.392973i
\(289\) 23.0163i 1.35390i
\(290\) 1.23940 + 2.30403i 0.0727800 + 0.135297i
\(291\) −8.69785 + 13.0173i −0.509877 + 0.763085i
\(292\) 1.91078 9.87976i 0.111820 0.578169i
\(293\) −3.24074 + 16.2923i −0.189326 + 0.951807i 0.762924 + 0.646488i \(0.223763\pi\)
−0.952250 + 0.305319i \(0.901237\pi\)
\(294\) 5.91538 + 0.566776i 0.344992 + 0.0330550i
\(295\) 0.919819 + 0.381001i 0.0535539 + 0.0221828i
\(296\) −6.31737 11.5961i −0.367189 0.674007i
\(297\) 9.03051 3.74056i 0.524003 0.217049i
\(298\) −7.53590 24.6074i −0.436543 1.42547i
\(299\) 4.36447 2.91625i 0.252404 0.168651i
\(300\) 0.0666676 + 12.5669i 0.00384906 + 0.725551i
\(301\) −2.64494 13.2970i −0.152452 0.766427i
\(302\) −2.23634 22.1047i −0.128687 1.27199i
\(303\) 15.0233 15.0233i 0.863068 0.863068i
\(304\) −19.6491 + 13.4328i −1.12695 + 0.770425i
\(305\) 0.193670 + 0.193670i 0.0110895 + 0.0110895i
\(306\) −7.61670 + 9.33134i −0.435418 + 0.533437i
\(307\) 6.84456 1.36147i 0.390640 0.0777031i 0.00413726 0.999991i \(-0.498683\pi\)
0.386502 + 0.922288i \(0.373683\pi\)
\(308\) 6.25654 + 2.55274i 0.356500 + 0.145456i
\(309\) −4.07931 6.10512i −0.232064 0.347308i
\(310\) 4.33135 + 2.30041i 0.246004 + 0.130654i
\(311\) −2.90025 7.00183i −0.164458 0.397038i 0.820070 0.572263i \(-0.193934\pi\)
−0.984528 + 0.175226i \(0.943934\pi\)
\(312\) 13.1163 4.09305i 0.742566 0.231723i
\(313\) 5.70821 13.7808i 0.322647 0.778938i −0.676452 0.736487i \(-0.736483\pi\)
0.999099 0.0424514i \(-0.0135167\pi\)
\(314\) 6.24448 + 7.56789i 0.352396 + 0.427081i
\(315\) −0.859710 0.171007i −0.0484392 0.00963515i
\(316\) −5.96626 29.1844i −0.335628 1.64175i
\(317\) −12.0391 8.04424i −0.676181 0.451809i 0.169478 0.985534i \(-0.445792\pi\)
−0.845658 + 0.533725i \(0.820792\pi\)
\(318\) 20.1588 + 6.05676i 1.13045 + 0.339646i
\(319\) 9.60080 0.537541
\(320\) −0.991892 + 2.50675i −0.0554485 + 0.140132i
\(321\) −9.19627 −0.513286
\(322\) −3.63570 1.09236i −0.202610 0.0608746i
\(323\) 31.2979 + 20.9126i 1.74146 + 1.16361i
\(324\) −6.16816 + 1.26098i −0.342675 + 0.0700542i
\(325\) 18.1051 + 3.60132i 1.00429 + 0.199766i
\(326\) 14.7700 + 17.9002i 0.818033 + 0.991402i
\(327\) 2.48939 6.00993i 0.137664 0.332350i
\(328\) −3.78157 + 7.21229i −0.208802 + 0.398232i
\(329\) −0.0503956 0.121666i −0.00277840 0.00670764i
\(330\) −0.946521 0.502703i −0.0521043 0.0276729i
\(331\) 14.3128 + 21.4207i 0.786705 + 1.17739i 0.980533 + 0.196352i \(0.0629095\pi\)
−0.193828 + 0.981035i \(0.562090\pi\)
\(332\) −0.0405066 + 0.0992779i −0.00222309 + 0.00544858i
\(333\) 6.16533 1.22636i 0.337858 0.0672041i
\(334\) 1.92435 2.35755i 0.105296 0.129000i
\(335\) 0.691356 + 0.691356i 0.0377728 + 0.0377728i
\(336\) −8.32053 5.43280i −0.453922 0.296384i
\(337\) −10.9026 + 10.9026i −0.593904 + 0.593904i −0.938684 0.344780i \(-0.887954\pi\)
0.344780 + 0.938684i \(0.387954\pi\)
\(338\) −0.180986 1.78893i −0.00984436 0.0973049i
\(339\) −3.48198 17.5051i −0.189115 0.950747i
\(340\) 4.26333 0.0226170i 0.231212 0.00122658i
\(341\) 14.9643 9.99885i 0.810364 0.541468i
\(342\) −3.31781 10.8338i −0.179407 0.585826i
\(343\) −18.3264 + 7.59104i −0.989532 + 0.409878i
\(344\) 5.61050 19.0394i 0.302498 1.02654i
\(345\) 0.556270 + 0.230415i 0.0299486 + 0.0124051i
\(346\) 12.9286 + 1.23874i 0.695047 + 0.0665952i
\(347\) −3.71315 + 18.6673i −0.199332 + 1.00211i 0.743472 + 0.668767i \(0.233177\pi\)
−0.942805 + 0.333345i \(0.891823\pi\)
\(348\) −13.8619 2.68093i −0.743075 0.143713i
\(349\) −0.0981410 + 0.146878i −0.00525337 + 0.00786222i −0.834087 0.551633i \(-0.814005\pi\)
0.828834 + 0.559495i \(0.189005\pi\)
\(350\) −6.32458 11.7573i −0.338063 0.628456i
\(351\) 21.1144i 1.12700i
\(352\) 6.37692 + 7.56348i 0.339891 + 0.403135i
\(353\) 12.0283i 0.640199i −0.947384 0.320100i \(-0.896284\pi\)
0.947384 0.320100i \(-0.103716\pi\)
\(354\) −4.73172 + 2.54532i −0.251488 + 0.135282i
\(355\) 1.41128 2.11213i 0.0749030 0.112100i
\(356\) 9.11927 + 13.4924i 0.483320 + 0.715098i
\(357\) −3.06588 + 15.4132i −0.162264 + 0.815755i
\(358\) 0.309238 3.22749i 0.0163438 0.170578i
\(359\) 33.9190 + 14.0497i 1.79018 + 0.741516i 0.989879 + 0.141916i \(0.0453263\pi\)
0.800300 + 0.599600i \(0.204674\pi\)
\(360\) −0.998464 0.806208i −0.0526237 0.0424909i
\(361\) −15.1590 + 6.27907i −0.797843 + 0.330477i
\(362\) −13.7279 + 4.20411i −0.721523 + 0.220963i
\(363\) 8.49106 5.67355i 0.445665 0.297784i
\(364\) −10.2665 + 10.3760i −0.538110 + 0.543850i
\(365\) −0.330775 1.66292i −0.0173136 0.0870412i
\(366\) −1.47058 + 0.148779i −0.0768682 + 0.00777678i
\(367\) −8.38811 + 8.38811i −0.437856 + 0.437856i −0.891290 0.453434i \(-0.850199\pi\)
0.453434 + 0.891290i \(0.350199\pi\)
\(368\) −3.97151 3.88812i −0.207029 0.202682i
\(369\) −2.74117 2.74117i −0.142700 0.142700i
\(370\) −1.72365 1.40693i −0.0896085 0.0731429i
\(371\) −21.9315 + 4.36245i −1.13863 + 0.226487i
\(372\) −24.3980 + 10.2580i −1.26498 + 0.531850i
\(373\) −12.9524 19.3846i −0.670647 1.00369i −0.998265 0.0588843i \(-0.981246\pi\)
0.327617 0.944810i \(-0.393754\pi\)
\(374\) 7.33856 13.8175i 0.379468 0.714487i
\(375\) 1.63945 + 3.95799i 0.0846609 + 0.204389i
\(376\) 0.0173704 0.192016i 0.000895808 0.00990249i
\(377\) −7.93648 + 19.1604i −0.408749 + 0.986808i
\(378\) 11.7784 9.71867i 0.605815 0.499874i
\(379\) −26.4712 5.26545i −1.35973 0.270468i −0.539254 0.842143i \(-0.681294\pi\)
−0.820480 + 0.571676i \(0.806294\pi\)
\(380\) −2.21034 + 3.34630i −0.113388 + 0.171661i
\(381\) 0.492200 + 0.328877i 0.0252162 + 0.0168489i
\(382\) −6.22463 + 20.7175i −0.318480 + 1.06000i
\(383\) 3.40990 0.174238 0.0871189 0.996198i \(-0.472234\pi\)
0.0871189 + 0.996198i \(0.472234\pi\)
\(384\) −7.09513 12.7011i −0.362072 0.648148i
\(385\) 1.13854 0.0580254
\(386\) 5.29860 17.6354i 0.269692 0.897619i
\(387\) 7.85632 + 5.24943i 0.399359 + 0.266843i
\(388\) 13.4203 20.3174i 0.681312 1.03146i
\(389\) 6.70403 + 1.33351i 0.339908 + 0.0676119i 0.362093 0.932142i \(-0.382062\pi\)
−0.0221851 + 0.999754i \(0.507062\pi\)
\(390\) 1.78568 1.47342i 0.0904217 0.0746094i
\(391\) −3.36364 + 8.12055i −0.170107 + 0.410674i
\(392\) −9.20482 0.832695i −0.464914 0.0420574i
\(393\) −9.01703 21.7690i −0.454849 1.09810i
\(394\) 3.01354 5.67409i 0.151820 0.285856i
\(395\) −2.78841 4.17316i −0.140300 0.209974i
\(396\) −4.34129 + 1.82526i −0.218158 + 0.0917229i
\(397\) 25.0619 4.98511i 1.25782 0.250196i 0.479207 0.877702i \(-0.340924\pi\)
0.778611 + 0.627506i \(0.215924\pi\)
\(398\) −10.0146 8.17442i −0.501987 0.409747i
\(399\) −10.4529 10.4529i −0.523300 0.523300i
\(400\) −0.207375 19.5447i −0.0103688 0.977234i
\(401\) 2.21860 2.21860i 0.110791 0.110791i −0.649538 0.760329i \(-0.725038\pi\)
0.760329 + 0.649538i \(0.225038\pi\)
\(402\) −5.24960 + 0.531103i −0.261826 + 0.0264890i
\(403\) 7.58451 + 38.1299i 0.377811 + 1.89939i
\(404\) −23.2417 + 23.4896i −1.15632 + 1.16865i
\(405\) −0.882002 + 0.589335i −0.0438270 + 0.0292843i
\(406\) 14.3414 4.39200i 0.711753 0.217971i
\(407\) −7.54342 + 3.12459i −0.373914 + 0.154880i
\(408\) −14.4540 + 17.9009i −0.715581 + 0.886225i
\(409\) 10.6896 + 4.42777i 0.528566 + 0.218939i 0.630975 0.775803i \(-0.282655\pi\)
−0.102409 + 0.994742i \(0.532655\pi\)
\(410\) −0.130868 + 1.36586i −0.00646313 + 0.0674550i
\(411\) −2.38802 + 12.0054i −0.117792 + 0.592182i
\(412\) 6.39489 + 9.46159i 0.315054 + 0.466139i
\(413\) 3.17109 4.74587i 0.156039 0.233529i
\(414\) 2.33003 1.25338i 0.114515 0.0616004i
\(415\) 0.0180662i 0.000886835i
\(416\) −20.3659 + 6.47410i −0.998522 + 0.317419i
\(417\) 7.51080i 0.367806i
\(418\) 6.97194 + 12.9608i 0.341009 + 0.633932i
\(419\) 8.58363 12.8463i 0.419338 0.627583i −0.560316 0.828279i \(-0.689320\pi\)
0.979654 + 0.200696i \(0.0643203\pi\)
\(420\) −1.64386 0.317927i −0.0802120 0.0155133i
\(421\) −1.91938 + 9.64937i −0.0935448 + 0.470281i 0.905409 + 0.424541i \(0.139565\pi\)
−0.998953 + 0.0457401i \(0.985435\pi\)
\(422\) −8.08553 0.774706i −0.393597 0.0377121i
\(423\) 0.0847932 + 0.0351225i 0.00412278 + 0.00170771i
\(424\) −31.4028 9.25371i −1.52505 0.449400i
\(425\) −28.5579 + 11.8291i −1.38526 + 0.573795i
\(426\) 4.01419 + 13.1078i 0.194488 + 0.635073i
\(427\) 1.30559 0.872368i 0.0631820 0.0422168i
\(428\) 14.3029 0.0758770i 0.691356 0.00366765i
\(429\) −1.65743 8.33244i −0.0800213 0.402294i
\(430\) −0.336631 3.32737i −0.0162338 0.160460i
\(431\) 19.6960 19.6960i 0.948725 0.948725i −0.0500230 0.998748i \(-0.515929\pi\)
0.998748 + 0.0500230i \(0.0159295\pi\)
\(432\) 21.8794 4.59393i 1.05267 0.221026i
\(433\) 28.0515 + 28.0515i 1.34807 + 1.34807i 0.887757 + 0.460312i \(0.152262\pi\)
0.460312 + 0.887757i \(0.347738\pi\)
\(434\) 17.7793 21.7816i 0.853432 1.04555i
\(435\) −2.33317 + 0.464097i −0.111867 + 0.0222518i
\(436\) −3.82215 + 9.36773i −0.183048 + 0.448633i
\(437\) −4.59347 6.87462i −0.219736 0.328858i
\(438\) 8.08093 + 4.29183i 0.386122 + 0.205071i
\(439\) 6.53568 + 15.7785i 0.311931 + 0.753068i 0.999633 + 0.0270754i \(0.00861943\pi\)
−0.687702 + 0.725993i \(0.741381\pi\)
\(440\) 1.47626 + 0.774040i 0.0703781 + 0.0369009i
\(441\) 1.68369 4.06478i 0.0801757 0.193561i
\(442\) 21.5093 + 26.0678i 1.02309 + 1.23992i
\(443\) −17.8876 3.55806i −0.849864 0.169048i −0.249103 0.968477i \(-0.580136\pi\)
−0.600761 + 0.799429i \(0.705136\pi\)
\(444\) 11.7639 2.40493i 0.558290 0.114133i
\(445\) 2.28148 + 1.52443i 0.108152 + 0.0722651i
\(446\) −18.7465 5.63243i −0.887672 0.266703i
\(447\) 23.4007 1.10681
\(448\) 12.9857 + 8.38094i 0.613516 + 0.395962i
\(449\) 7.49157 0.353549 0.176775 0.984251i \(-0.443434\pi\)
0.176775 + 0.984251i \(0.443434\pi\)
\(450\) 8.91092 + 2.67731i 0.420065 + 0.126210i
\(451\) 4.18666 + 2.79744i 0.197142 + 0.131726i
\(452\) 5.55993 + 27.1968i 0.261517 + 1.27923i
\(453\) 19.8138 + 3.94121i 0.930934 + 0.185174i
\(454\) −21.9653 26.6205i −1.03088 1.24936i
\(455\) −0.941173 + 2.27219i −0.0441228 + 0.106522i
\(456\) −6.44709 20.6599i −0.301913 0.967491i
\(457\) −6.33038 15.2829i −0.296123 0.714904i −0.999990 0.00457167i \(-0.998545\pi\)
0.703867 0.710332i \(-0.251455\pi\)
\(458\) −12.2759 6.51979i −0.573614 0.304650i
\(459\) −19.6427 29.3974i −0.916844 1.37215i
\(460\) −0.867064 0.353772i −0.0404270 0.0164947i
\(461\) −16.1652 + 3.21545i −0.752886 + 0.149758i −0.556591 0.830786i \(-0.687891\pi\)
−0.196295 + 0.980545i \(0.562891\pi\)
\(462\) −3.88526 + 4.75989i −0.180759 + 0.221450i
\(463\) 25.6472 + 25.6472i 1.19193 + 1.19193i 0.976526 + 0.215401i \(0.0691059\pi\)
0.215401 + 0.976526i \(0.430894\pi\)
\(464\) 21.5814 + 4.05526i 1.00189 + 0.188261i
\(465\) −3.15328 + 3.15328i −0.146230 + 0.146230i
\(466\) −2.00857 19.8534i −0.0930453 0.919690i
\(467\) −8.07541 40.5978i −0.373685 1.87864i −0.469004 0.883196i \(-0.655387\pi\)
0.0953188 0.995447i \(-0.469613\pi\)
\(468\) −0.0539667 10.1728i −0.00249461 0.470237i
\(469\) 4.66064 3.11414i 0.215208 0.143798i
\(470\) −0.00951237 0.0310612i −0.000438773 0.00143275i
\(471\) −8.24233 + 3.41408i −0.379786 + 0.157313i
\(472\) 7.33821 3.99775i 0.337768 0.184011i
\(473\) −11.3386 4.69660i −0.521349 0.215950i
\(474\) 26.9621 + 2.58335i 1.23841 + 0.118657i
\(475\) 5.67256 28.5179i 0.260275 1.30849i
\(476\) 4.64117 23.9974i 0.212728 1.09992i
\(477\) 8.65817 12.9579i 0.396431 0.593300i
\(478\) 19.7144 + 36.6490i 0.901718 + 1.67628i
\(479\) 7.37082i 0.336781i 0.985720 + 0.168391i \(0.0538570\pi\)
−0.985720 + 0.168391i \(0.946143\pi\)
\(480\) −1.91533 1.52981i −0.0874223 0.0698260i
\(481\) 17.6374i 0.804195i
\(482\) 10.3658 5.57604i 0.472149 0.253982i
\(483\) 1.91775 2.87011i 0.0872606 0.130595i
\(484\) −13.1593 + 8.89408i −0.598149 + 0.404276i
\(485\) 0.800394 4.02385i 0.0363440 0.182714i
\(486\) −1.71565 + 17.9061i −0.0778235 + 0.812237i
\(487\) −14.2123 5.88692i −0.644020 0.266762i 0.0366766 0.999327i \(-0.488323\pi\)
−0.680697 + 0.732565i \(0.738323\pi\)
\(488\) 2.28595 0.243528i 0.103480 0.0110240i
\(489\) −19.4955 + 8.07528i −0.881615 + 0.365177i
\(490\) −1.48900 + 0.456001i −0.0672663 + 0.0206000i
\(491\) 13.9347 9.31084i 0.628862 0.420192i −0.199882 0.979820i \(-0.564056\pi\)
0.828744 + 0.559628i \(0.189056\pi\)
\(492\) −5.26366 5.20810i −0.237304 0.234799i
\(493\) −6.77499 34.0602i −0.305130 1.53399i
\(494\) −31.6292 + 3.19993i −1.42306 + 0.143972i
\(495\) −0.561082 + 0.561082i −0.0252188 + 0.0252188i
\(496\) 37.8614 16.1554i 1.70003 0.725400i
\(497\) −10.2977 10.2977i −0.461917 0.461917i
\(498\) −0.0755293 0.0616507i −0.00338455 0.00276263i
\(499\) −21.0694 + 4.19096i −0.943194 + 0.187613i −0.642654 0.766156i \(-0.722167\pi\)
−0.300540 + 0.953769i \(0.597167\pi\)
\(500\) −2.58248 6.14230i −0.115492 0.274692i
\(501\) 1.53734 + 2.30079i 0.0686832 + 0.102792i
\(502\) 5.46526 10.2903i 0.243926 0.459280i
\(503\) 3.12293 + 7.53942i 0.139245 + 0.336166i 0.978083 0.208214i \(-0.0667650\pi\)
−0.838839 + 0.544380i \(0.816765\pi\)
\(504\) −5.64992 + 4.71251i −0.251667 + 0.209912i
\(505\) −2.13067 + 5.14389i −0.0948135 + 0.228900i
\(506\) −2.65068 + 2.18715i −0.117837 + 0.0972305i
\(507\) 1.60352 + 0.318961i 0.0712149 + 0.0141655i
\(508\) −0.768228 0.507439i −0.0340846 0.0225140i
\(509\) −5.05284 3.37620i −0.223963 0.149647i 0.438527 0.898718i \(-0.355500\pi\)
−0.662490 + 0.749071i \(0.730500\pi\)
\(510\) −1.11548 + 3.71266i −0.0493942 + 0.164399i
\(511\) −9.72030 −0.430001
\(512\) 11.1398 + 19.6953i 0.492314 + 0.870418i
\(513\) 33.2579 1.46837
\(514\) −5.73697 + 19.0944i −0.253047 + 0.842219i
\(515\) 1.59989 + 1.06901i 0.0704994 + 0.0471062i
\(516\) 15.0595 + 9.94727i 0.662956 + 0.437904i
\(517\) −0.116920 0.0232569i −0.00514215 0.00102284i
\(518\) −9.83879 + 8.11826i −0.432292 + 0.356696i
\(519\) −4.51932 + 10.9106i −0.198376 + 0.478923i
\(520\) −2.76510 + 2.30633i −0.121258 + 0.101139i
\(521\) 9.28701 + 22.4208i 0.406871 + 0.982274i 0.985956 + 0.167006i \(0.0534100\pi\)
−0.579085 + 0.815267i \(0.696590\pi\)
\(522\) −4.90316 + 9.23199i −0.214605 + 0.404073i
\(523\) −11.7557 17.5936i −0.514040 0.769315i 0.480123 0.877201i \(-0.340592\pi\)
−0.994163 + 0.107886i \(0.965592\pi\)
\(524\) 14.2037 + 33.7828i 0.620492 + 1.47581i
\(525\) 11.9061 2.36826i 0.519623 0.103359i
\(526\) −16.1141 13.1531i −0.702607 0.573503i
\(527\) −46.0322 46.0322i −2.00519 2.00519i
\(528\) −8.27376 + 3.53041i −0.360069 + 0.153641i
\(529\) −14.8983 + 14.8983i −0.647751 + 0.647751i
\(530\) −5.48802 + 0.555225i −0.238384 + 0.0241174i
\(531\) 0.776065 + 3.90154i 0.0336783 + 0.169312i
\(532\) 16.3436 + 16.1711i 0.708583 + 0.701105i
\(533\) −9.04375 + 6.04284i −0.391728 + 0.261745i
\(534\) −14.1587 + 4.33604i −0.612707 + 0.187639i
\(535\) 2.22650 0.922245i 0.0962598 0.0398721i
\(536\) 8.16027 0.869334i 0.352470 0.0375495i
\(537\) 2.72371 + 1.12820i 0.117537 + 0.0486854i
\(538\) −0.598605 + 6.24758i −0.0258077 + 0.269352i
\(539\) −1.11488 + 5.60489i −0.0480213 + 0.241420i
\(540\) 3.12089 2.10935i 0.134302 0.0907719i
\(541\) −21.5427 + 32.2410i −0.926195 + 1.38615i −0.00376128 + 0.999993i \(0.501197\pi\)
−0.922434 + 0.386156i \(0.873803\pi\)
\(542\) −15.4283 + 8.29927i −0.662701 + 0.356484i
\(543\) 13.0547i 0.560232i
\(544\) 22.3325 27.9603i 0.957499 1.19879i
\(545\) 1.70470i 0.0730214i
\(546\) −6.28760 11.6886i −0.269084 0.500225i
\(547\) −12.7138 + 19.0275i −0.543602 + 0.813557i −0.996972 0.0777651i \(-0.975222\pi\)
0.453370 + 0.891322i \(0.350222\pi\)
\(548\) 3.61501 18.6916i 0.154426 0.798465i
\(549\) −0.213496 + 1.07332i −0.00911178 + 0.0458080i
\(550\) −12.0303 1.15267i −0.512973 0.0491500i
\(551\) 30.1801 + 12.5010i 1.28572 + 0.532561i
\(552\) 4.43786 2.41768i 0.188888 0.102903i
\(553\) −26.5837 + 11.0113i −1.13046 + 0.468250i
\(554\) 7.64738 + 24.9714i 0.324906 + 1.06093i
\(555\) 1.68215 1.12398i 0.0714034 0.0477102i
\(556\) −0.0619705 11.6815i −0.00262813 0.495406i
\(557\) 1.11280 + 5.59444i 0.0471510 + 0.237044i 0.997173 0.0751386i \(-0.0239399\pi\)
−0.950022 + 0.312183i \(0.898940\pi\)
\(558\) 1.97241 + 19.4959i 0.0834988 + 0.825329i
\(559\) 18.7460 18.7460i 0.792873 0.792873i
\(560\) 2.55930 + 0.480906i 0.108150 + 0.0203220i
\(561\) 10.0593 + 10.0593i 0.424705 + 0.424705i
\(562\) 13.6260 16.6935i 0.574780 0.704172i
\(563\) 31.1060 6.18736i 1.31096 0.260766i 0.510358 0.859962i \(-0.329513\pi\)
0.800603 + 0.599196i \(0.204513\pi\)
\(564\) 0.162318 + 0.0662279i 0.00683484 + 0.00278870i
\(565\) 2.59851 + 3.88895i 0.109320 + 0.163609i
\(566\) −0.340021 0.180587i −0.0142921 0.00759063i
\(567\) 2.32726 + 5.61851i 0.0977358 + 0.235955i
\(568\) −6.35139 20.3533i −0.266498 0.854004i
\(569\) −6.06734 + 14.6478i −0.254356 + 0.614070i −0.998546 0.0538978i \(-0.982835\pi\)
0.744190 + 0.667967i \(0.232835\pi\)
\(570\) −2.32083 2.81269i −0.0972088 0.117811i
\(571\) −7.92899 1.57717i −0.331818 0.0660027i 0.0263699 0.999652i \(-0.491605\pi\)
−0.358188 + 0.933650i \(0.616605\pi\)
\(572\) 2.64653 + 12.9457i 0.110657 + 0.541287i
\(573\) −16.3549 10.9280i −0.683236 0.456524i
\(574\) 7.53365 + 2.26350i 0.314449 + 0.0944768i
\(575\) 6.78960 0.283146
\(576\) −10.5296 + 2.26925i −0.438735 + 0.0945522i
\(577\) 7.30913 0.304283 0.152142 0.988359i \(-0.451383\pi\)
0.152142 + 0.988359i \(0.451383\pi\)
\(578\) −31.1734 9.36611i −1.29664 0.389579i
\(579\) 13.9218 + 9.30227i 0.578571 + 0.386589i
\(580\) 3.62494 0.741057i 0.150517 0.0307707i
\(581\) 0.101584 + 0.0202062i 0.00421439 + 0.000838295i
\(582\) 14.0912 + 17.0775i 0.584097 + 0.707887i
\(583\) −7.74636 + 18.7014i −0.320821 + 0.774532i
\(584\) −12.6036 6.60837i −0.521541 0.273456i
\(585\) −0.655937 1.58357i −0.0271197 0.0654726i
\(586\) 20.7476 + 11.0192i 0.857075 + 0.455197i
\(587\) −15.4927 23.1865i −0.639452 0.957008i −0.999708 0.0241542i \(-0.992311\pi\)
0.360256 0.932853i \(-0.382689\pi\)
\(588\) 3.17481 7.78116i 0.130927 0.320890i
\(589\) 60.0597 11.9466i 2.47472 0.492251i
\(590\) 0.890334 1.09076i 0.0366545 0.0449060i
\(591\) 4.13080 + 4.13080i 0.169919 + 0.169919i
\(592\) −18.2765 + 3.83743i −0.751158 + 0.157718i
\(593\) 3.85403 3.85403i 0.158266 0.158266i −0.623532 0.781798i \(-0.714303\pi\)
0.781798 + 0.623532i \(0.214303\pi\)
\(594\) −1.39141 13.7531i −0.0570901 0.564297i
\(595\) −0.803434 4.03914i −0.0329376 0.165588i
\(596\) −36.3949 + 0.193075i −1.49079 + 0.00790868i
\(597\) 9.77348 6.53043i 0.400002 0.267273i
\(598\) −2.17372 7.09797i −0.0888901 0.290257i
\(599\) −17.9005 + 7.41463i −0.731395 + 0.302954i −0.717125 0.696945i \(-0.754542\pi\)
−0.0142697 + 0.999898i \(0.504542\pi\)
\(600\) 17.0478 + 5.02360i 0.695973 + 0.205088i
\(601\) −4.00096 1.65725i −0.163203 0.0676007i 0.299586 0.954069i \(-0.403151\pi\)
−0.462789 + 0.886468i \(0.653151\pi\)
\(602\) −19.0858 1.82869i −0.777879 0.0745317i
\(603\) −0.762128 + 3.83148i −0.0310363 + 0.156030i
\(604\) −30.8488 5.96625i −1.25522 0.242763i
\(605\) −1.48679 + 2.22514i −0.0604466 + 0.0904647i
\(606\) −14.2341 26.4611i −0.578222 1.07491i
\(607\) 15.7984i 0.641238i 0.947208 + 0.320619i \(0.103891\pi\)
−0.947208 + 0.320619i \(0.896109\pi\)
\(608\) 10.1976 + 32.0790i 0.413566 + 1.30098i
\(609\) 13.6382i 0.552646i
\(610\) 0.341119 0.183497i 0.0138115 0.00742956i
\(611\) 0.143066 0.214113i 0.00578782 0.00866209i
\(612\) 9.53889 + 14.1133i 0.385587 + 0.570497i
\(613\) −8.55301 + 42.9989i −0.345453 + 1.73671i 0.283236 + 0.959050i \(0.408592\pi\)
−0.628688 + 0.777657i \(0.716408\pi\)
\(614\) 0.941306 9.82432i 0.0379880 0.396477i
\(615\) −1.15266 0.477449i −0.0464799 0.0192526i
\(616\) 6.00344 7.43508i 0.241886 0.299568i
\(617\) 8.53227 3.53418i 0.343496 0.142281i −0.204265 0.978916i \(-0.565480\pi\)
0.547761 + 0.836635i \(0.315480\pi\)
\(618\) −9.92880 + 3.04065i −0.399395 + 0.122313i
\(619\) −1.39325 + 0.930941i −0.0559995 + 0.0374177i −0.583255 0.812289i \(-0.698221\pi\)
0.527255 + 0.849707i \(0.323221\pi\)
\(620\) 4.87825 4.93028i 0.195915 0.198005i
\(621\) 1.51507 + 7.61675i 0.0607975 + 0.305650i
\(622\) −10.6635 + 1.07883i −0.427568 + 0.0432572i
\(623\) 11.1234 11.1234i 0.445649 0.445649i
\(624\) −0.206163 19.4304i −0.00825311 0.777837i
\(625\) 16.4823 + 16.4823i 0.659293 + 0.659293i
\(626\) −16.3419 13.3391i −0.653155 0.533137i
\(627\) −13.1247 + 2.61067i −0.524150 + 0.104260i
\(628\) 12.7911 5.37790i 0.510419 0.214602i
\(629\) 16.4081 + 24.5564i 0.654233 + 0.979129i
\(630\) −0.581457 + 1.09480i −0.0231658 + 0.0436181i
\(631\) −3.99386 9.64202i −0.158993 0.383843i 0.824229 0.566257i \(-0.191609\pi\)
−0.983222 + 0.182414i \(0.941609\pi\)
\(632\) −41.9553 3.79540i −1.66889 0.150973i
\(633\) 2.82637 6.82347i 0.112338 0.271209i
\(634\) −15.7942 + 13.0322i −0.627269 + 0.517577i
\(635\) −0.152147 0.0302640i −0.00603778 0.00120099i
\(636\) 16.4066 24.8384i 0.650563 0.984908i
\(637\) −10.2641 6.85824i −0.406678 0.271733i
\(638\) 3.90689 13.0033i 0.154675 0.514807i
\(639\) 10.1496 0.401513
\(640\) 2.99151 + 2.36350i 0.118250 + 0.0934256i
\(641\) −3.82056 −0.150903 −0.0754515 0.997149i \(-0.524040\pi\)
−0.0754515 + 0.997149i \(0.524040\pi\)
\(642\) −3.74227 + 12.4554i −0.147696 + 0.491577i
\(643\) −14.4622 9.66332i −0.570332 0.381084i 0.236707 0.971581i \(-0.423932\pi\)
−0.807040 + 0.590497i \(0.798932\pi\)
\(644\) −2.95898 + 4.47969i −0.116600 + 0.176524i
\(645\) 2.98252 + 0.593260i 0.117437 + 0.0233596i
\(646\) 41.0603 33.8799i 1.61549 1.33299i
\(647\) 15.0550 36.3461i 0.591875 1.42891i −0.289815 0.957083i \(-0.593594\pi\)
0.881690 0.471829i \(-0.156406\pi\)
\(648\) −0.802162 + 8.86730i −0.0315119 + 0.348340i
\(649\) −1.97730 4.77362i −0.0776158 0.187381i
\(650\) 12.2452 23.0561i 0.480296 0.904333i
\(651\) 14.2036 + 21.2572i 0.556683 + 0.833135i
\(652\) 30.2545 12.7203i 1.18486 0.498164i
\(653\) −18.2191 + 3.62400i −0.712968 + 0.141818i −0.538232 0.842797i \(-0.680907\pi\)
−0.174737 + 0.984615i \(0.555907\pi\)
\(654\) −7.12684 5.81728i −0.278682 0.227474i
\(655\) 4.36620 + 4.36620i 0.170601 + 0.170601i
\(656\) 8.22949 + 8.05669i 0.321308 + 0.314561i
\(657\) 4.79024 4.79024i 0.186885 0.186885i
\(658\) −0.185292 + 0.0187460i −0.00722343 + 0.000730796i
\(659\) 2.52934 + 12.7159i 0.0985293 + 0.495340i 0.998264 + 0.0589024i \(0.0187601\pi\)
−0.899734 + 0.436438i \(0.856240\pi\)
\(660\) −1.06603 + 1.07740i −0.0414953 + 0.0419379i
\(661\) −10.3862 + 6.93980i −0.403974 + 0.269927i −0.740915 0.671599i \(-0.765608\pi\)
0.336941 + 0.941526i \(0.390608\pi\)
\(662\) 34.8366 10.6686i 1.35396 0.414645i
\(663\) −28.3909 + 11.7599i −1.10261 + 0.456717i
\(664\) 0.117979 + 0.0952617i 0.00457846 + 0.00369687i
\(665\) 3.57900 + 1.48247i 0.138788 + 0.0574878i
\(666\) 0.847894 8.84938i 0.0328552 0.342907i
\(667\) −1.48813 + 7.48135i −0.0576208 + 0.289679i
\(668\) −2.40999 3.56571i −0.0932454 0.137962i
\(669\) 9.88833 14.7989i 0.382305 0.572160i
\(670\) 1.21771 0.655039i 0.0470443 0.0253064i
\(671\) 1.42143i 0.0548736i
\(672\) −10.7441 + 9.05856i −0.414463 + 0.349442i
\(673\) 24.6534i 0.950320i −0.879899 0.475160i \(-0.842390\pi\)
0.879899 0.475160i \(-0.157610\pi\)
\(674\) 10.3299 + 19.2032i 0.397893 + 0.739679i
\(675\) −15.1732 + 22.7082i −0.584015 + 0.874040i
\(676\) −2.49658 0.482846i −0.0960222 0.0185710i
\(677\) 5.08875 25.5829i 0.195576 0.983229i −0.750890 0.660427i \(-0.770375\pi\)
0.946467 0.322802i \(-0.104625\pi\)
\(678\) −25.1259 2.40741i −0.964954 0.0924560i
\(679\) −21.7303 9.00098i −0.833932 0.345426i
\(680\) 1.70426 5.78347i 0.0653554 0.221786i
\(681\) 28.9928 12.0092i 1.11101 0.460195i
\(682\) −7.45297 24.3366i −0.285389 0.931896i
\(683\) −7.02523 + 4.69411i −0.268813 + 0.179615i −0.682670 0.730727i \(-0.739181\pi\)
0.413857 + 0.910342i \(0.364181\pi\)
\(684\) −16.0235 + 0.0850047i −0.612673 + 0.00325024i
\(685\) −0.625796 3.14609i −0.0239104 0.120206i
\(686\) 2.82370 + 27.9104i 0.107809 + 1.06562i
\(687\) 8.93699 8.93699i 0.340967 0.340967i
\(688\) −23.5039 15.3466i −0.896080 0.585085i
\(689\) −30.9189 30.9189i −1.17792 1.17792i
\(690\) 0.538439 0.659650i 0.0204980 0.0251124i
\(691\) 44.6617 8.88377i 1.69901 0.337954i 0.752002 0.659160i \(-0.229088\pi\)
0.947009 + 0.321206i \(0.104088\pi\)
\(692\) 6.93884 17.0065i 0.263775 0.646489i
\(693\) 2.52734 + 3.78243i 0.0960056 + 0.143682i
\(694\) 23.7720 + 12.6254i 0.902372 + 0.479255i
\(695\) −0.753218 1.81843i −0.0285712 0.0689770i
\(696\) −9.27193 + 17.6836i −0.351452 + 0.670295i
\(697\) 6.96991 16.8268i 0.264004 0.637362i
\(698\) 0.158996 + 0.192692i 0.00601807 + 0.00729351i
\(699\) 17.7958 + 3.53980i 0.673098 + 0.133887i
\(700\) −18.4979 + 3.78157i −0.699153 + 0.142930i
\(701\) 16.3596 + 10.9311i 0.617894 + 0.412863i 0.824742 0.565510i \(-0.191321\pi\)
−0.206848 + 0.978373i \(0.566321\pi\)
\(702\) 28.5973 + 8.59214i 1.07934 + 0.324289i
\(703\) −27.7812 −1.04779
\(704\) 12.8390 5.55908i 0.483887 0.209516i
\(705\) 0.0295381 0.00111247
\(706\) −16.2911 4.89470i −0.613123 0.184214i
\(707\) 26.5402 + 17.7336i 0.998148 + 0.666941i
\(708\) 1.52189 + 7.44443i 0.0571960 + 0.279779i
\(709\) 2.20271 + 0.438146i 0.0827245 + 0.0164549i 0.236279 0.971685i \(-0.424072\pi\)
−0.153555 + 0.988140i \(0.549072\pi\)
\(710\) −2.28638 2.77094i −0.0858062 0.103991i
\(711\) 7.67420 18.5272i 0.287805 0.694823i
\(712\) 21.9851 6.86063i 0.823928 0.257113i
\(713\) 5.47204 + 13.2107i 0.204930 + 0.494744i
\(714\) 19.6281 + 10.4246i 0.734563 + 0.390131i
\(715\) 1.23689 + 1.85114i 0.0462572 + 0.0692288i
\(716\) −4.24548 1.73221i −0.158661 0.0647356i
\(717\) −37.1125 + 7.38214i −1.38599 + 0.275691i
\(718\) 32.8318 40.2227i 1.22527 1.50110i
\(719\) 23.3168 + 23.3168i 0.869569 + 0.869569i 0.992425 0.122856i \(-0.0392053\pi\)
−0.122856 + 0.992425i \(0.539205\pi\)
\(720\) −1.49824 + 1.02425i −0.0558360 + 0.0381715i
\(721\) 7.80028 7.80028i 0.290498 0.290498i
\(722\) 2.33567 + 23.0866i 0.0869248 + 0.859193i
\(723\) 2.08797 + 10.4969i 0.0776523 + 0.390385i
\(724\) 0.107712 + 20.3039i 0.00400310 + 0.754589i
\(725\) −22.3046 + 14.9034i −0.828371 + 0.553500i
\(726\) −4.22897 13.8091i −0.156952 0.512503i
\(727\) 37.5431 15.5509i 1.39240 0.576750i 0.444630 0.895714i \(-0.353335\pi\)
0.947767 + 0.318964i \(0.103335\pi\)
\(728\) 9.87549 + 18.1273i 0.366010 + 0.671842i
\(729\) −23.8359 9.87315i −0.882811 0.365672i
\(730\) −2.38687 0.228695i −0.0883419 0.00846438i
\(731\) −8.66054 + 43.5395i −0.320322 + 1.61037i
\(732\) −0.396920 + 2.05229i −0.0146706 + 0.0758549i
\(733\) −9.59637 + 14.3620i −0.354450 + 0.530472i −0.965255 0.261309i \(-0.915846\pi\)
0.610805 + 0.791781i \(0.290846\pi\)
\(734\) 7.94747 + 14.7743i 0.293347 + 0.545329i
\(735\) 1.41599i 0.0522294i
\(736\) −6.88222 + 3.79682i −0.253682 + 0.139953i
\(737\) 5.07415i 0.186909i
\(738\) −4.82812 + 2.59717i −0.177726 + 0.0956032i
\(739\) 17.1676 25.6932i 0.631522 0.945139i −0.368359 0.929684i \(-0.620080\pi\)
0.999881 0.0154555i \(-0.00491984\pi\)
\(740\) −2.60696 + 1.76199i −0.0958339 + 0.0647722i
\(741\) 5.63939 28.3511i 0.207168 1.04150i
\(742\) −3.01615 + 31.4793i −0.110726 + 1.15564i
\(743\) −32.9584 13.6518i −1.20913 0.500837i −0.315189 0.949029i \(-0.602068\pi\)
−0.893937 + 0.448192i \(0.852068\pi\)
\(744\) 3.96503 + 37.2190i 0.145365 + 1.36451i
\(745\) −5.66551 + 2.34673i −0.207568 + 0.0859775i
\(746\) −31.5252 + 9.65447i −1.15422 + 0.353475i
\(747\) −0.0600190 + 0.0401034i −0.00219598 + 0.00146731i
\(748\) −15.7282 15.5622i −0.575079 0.569009i
\(749\) −2.69541 13.5507i −0.0984881 0.495133i
\(750\) 6.02785 0.609840i 0.220106 0.0222682i
\(751\) −35.9619 + 35.9619i −1.31227 + 1.31227i −0.392528 + 0.919740i \(0.628399\pi\)
−0.919740 + 0.392528i \(0.871601\pi\)
\(752\) −0.252999 0.101664i −0.00922592 0.00370732i
\(753\) 7.49149 + 7.49149i 0.273005 + 0.273005i
\(754\) 22.7212 + 18.5462i 0.827457 + 0.675412i
\(755\) −5.19233 + 1.03282i −0.188968 + 0.0375881i
\(756\) −8.36997 19.9075i −0.304413 0.724030i
\(757\) −0.770529 1.15318i −0.0280054 0.0419130i 0.817203 0.576350i \(-0.195524\pi\)
−0.845208 + 0.534437i \(0.820524\pi\)
\(758\) −17.9035 + 33.7099i −0.650286 + 1.22440i
\(759\) −1.19579 2.88690i −0.0434045 0.104788i
\(760\) 3.63277 + 4.35541i 0.131774 + 0.157987i
\(761\) 7.73362 18.6706i 0.280344 0.676809i −0.719500 0.694492i \(-0.755629\pi\)
0.999844 + 0.0176832i \(0.00562903\pi\)
\(762\) 0.645725 0.532805i 0.0233921 0.0193015i
\(763\) 9.58528 + 1.90663i 0.347011 + 0.0690247i
\(764\) 25.5268 + 16.8613i 0.923528 + 0.610020i
\(765\) 2.38646 + 1.59458i 0.0862826 + 0.0576522i
\(766\) 1.38760 4.61838i 0.0501361 0.166869i
\(767\) 11.1613 0.403010
\(768\) −20.0896 + 4.44118i −0.724920 + 0.160257i
\(769\) −19.0515 −0.687015 −0.343508 0.939150i \(-0.611615\pi\)
−0.343508 + 0.939150i \(0.611615\pi\)
\(770\) 0.463311 1.54204i 0.0166966 0.0555714i
\(771\) −15.0736 10.0719i −0.542863 0.362729i
\(772\) −21.7293 14.3529i −0.782053 0.516571i