Properties

Label 64.2.i.a.13.5
Level $64$
Weight $2$
Character 64.13
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 13.5
Character \(\chi\) \(=\) 64.13
Dual form 64.2.i.a.5.5

$q$-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 \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{15}{16}\right)\) \(1\)

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 −0.207223 0.978294i \(-0.566443\pi\)
0.824525 + 0.565826i \(0.191443\pi\)
\(4\) −1.66881 + 1.10230i −0.834405 + 0.551152i
\(5\) −0.330507 + 0.0657419i −0.147807 + 0.0294007i −0.268439 0.963297i \(-0.586508\pi\)
0.120632 + 0.992697i \(0.461508\pi\)
\(6\) 1.40270 + 1.15741i 0.572649 + 0.472509i
\(7\) −0.739314 1.78486i −0.279434 0.674614i 0.720386 0.693573i \(-0.243965\pi\)
−0.999820 + 0.0189592i \(0.993965\pi\)
\(8\) −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 −0.655575 0.755130i \(-0.727574\pi\)
0.948527 + 0.316697i \(0.102574\pi\)
\(12\) −0.996787 + 2.37081i −0.287748 + 0.684392i
\(13\) −3.70516 0.737003i −1.02763 0.204408i −0.347638 0.937629i \(-0.613016\pi\)
−0.679990 + 0.733221i \(0.738016\pi\)
\(14\) 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 0.996047 + 0.0888265i \(0.0283117\pi\)
0.0888265 + 0.996047i \(0.471688\pi\)
\(18\) −1.89446 0.191663i −0.446529 0.0451755i
\(19\) 1.16088 5.83613i 0.266324 1.33890i −0.583621 0.812026i \(-0.698364\pi\)
0.849944 0.526873i \(-0.176636\pi\)
\(20\) 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 0.244811 0.969571i \(-0.421274\pi\)
−0.512483 + 0.858697i \(0.671274\pi\)
\(24\) −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 0.998532 0.0541712i \(-0.0172517\pi\)
−0.432169 + 0.901793i \(0.642252\pi\)
\(30\) −0.539692 0.290314i −0.0985338 0.0530039i
\(31\) 10.2910i 1.84832i 0.382004 + 0.924161i \(0.375234\pi\)
−0.382004 + 0.924161i \(0.624766\pi\)
\(32\) 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 −0.980555 0.196242i \(-0.937126\pi\)
0.830816 0.556547i \(-0.187874\pi\)
\(38\) 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 0.580599 0.814190i \(-0.302819\pi\)
−0.165174 + 0.986264i \(0.552819\pi\)
\(42\) 1.02877 3.35931i 0.158743 0.518353i
\(43\) −5.83495 3.89879i −0.889821 0.594560i 0.0244324 0.999701i \(-0.492222\pi\)
−0.914254 + 0.405142i \(0.867222\pi\)
\(44\) −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 0.703583 0.710613i \(-0.251582\pi\)
−0.710613 + 0.703583i \(0.751582\pi\)
\(48\) −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 −0.0627888 0.998027i \(-0.519999\pi\)
0.946085 0.323919i \(-0.105001\pi\)
\(54\) −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 −0.380073 0.924957i \(-0.624101\pi\)
0.00282397 + 0.999996i \(0.499101\pi\)
\(60\) 0.173584 0.849098i 0.0224096 0.109618i
\(61\) −0.675800 + 0.451555i −0.0865273 + 0.0578157i −0.598081 0.801435i \(-0.704070\pi\)
0.511554 + 0.859251i \(0.329070\pi\)
\(62\) −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 −0.694138 0.719842i \(-0.744214\pi\)
0.399412 + 0.916772i \(0.369214\pi\)
\(68\) −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 −0.997477 0.0709962i \(-0.977382\pi\)
0.655121 0.755524i \(-0.272618\pi\)
\(72\) 3.37277 1.76842i 0.397485 0.208410i
\(73\) 1.92544 4.64843i 0.225356 0.544057i −0.770246 0.637747i \(-0.779866\pi\)
0.995601 + 0.0936903i \(0.0298663\pi\)
\(74\) 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 0.206445 0.978458i \(-0.433810\pi\)
0.978458 0.206445i \(-0.0661896\pi\)
\(80\) −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 −0.981355 0.192204i \(-0.938437\pi\)
0.980207 + 0.197975i \(0.0634366\pi\)
\(84\) 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 −0.743920 0.668269i \(-0.767035\pi\)
−0.0534930 + 0.998568i \(0.517035\pi\)
\(90\) 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 \(-0.787910\pi\)
0.786115 0.618081i \(-0.212090\pi\)
\(98\) 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 0.718894 + 0.695120i \(0.244649\pi\)
−0.398160 + 0.917316i \(0.630351\pi\)
\(102\) 1.09721 + 11.4515i 0.108640 + 1.13386i
\(103\) −5.27535 + 2.18512i −0.519796 + 0.215306i −0.627127 0.778917i \(-0.715769\pi\)
0.107331 + 0.994223i \(0.465769\pi\)
\(104\) 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 0.233895 0.972262i \(-0.424853\pi\)
−0.808745 + 0.588160i \(0.799853\pi\)
\(108\) −7.86218 7.94604i −0.756539 0.764608i
\(109\) −0.986910 + 4.96153i −0.0945288 + 0.475229i 0.904302 + 0.426893i \(0.140392\pi\)
−0.998831 + 0.0483359i \(0.984608\pi\)
\(110\) −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 −0.997258 0.0739972i \(-0.976424\pi\)
0.0739972 + 0.997258i \(0.476424\pi\)
\(114\) 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 −0.998560 0.0536401i \(-0.982918\pi\)
−0.332575 + 0.943077i \(0.607918\pi\)
\(132\) 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 −0.688439 0.725294i \(-0.741704\pi\)
0.999660 0.0260607i \(-0.00829631\pi\)
\(138\) −1.18523 2.23163i −0.100894 0.189969i
\(139\) 3.24499 4.85647i 0.275237 0.411921i −0.667939 0.744216i \(-0.732823\pi\)
0.943175 + 0.332296i \(0.107823\pi\)
\(140\) −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 0.990132 0.140140i \(-0.0447552\pi\)
0.249435 + 0.968392i \(0.419755\pi\)
\(150\) −8.49676 2.60210i −0.693758 0.212460i
\(151\) 14.5143 + 6.01204i 1.18116 + 0.489252i 0.884867 0.465844i \(-0.154249\pi\)
0.296293 + 0.955097i \(0.404249\pi\)
\(152\) −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 0.645161 0.764046i \(-0.276790\pi\)
−0.952779 + 0.303663i \(0.901790\pi\)
\(158\) 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 −0.994074 0.108703i \(-0.965330\pi\)
0.279987 0.960004i \(-0.409670\pi\)
\(164\) −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 −0.304434 0.952534i \(-0.598467\pi\)
0.458276 + 0.888810i \(0.348467\pi\)
\(168\) 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 −0.850965 0.525222i \(-0.823982\pi\)
0.987183 0.159592i \(-0.0510178\pi\)
\(174\) −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 0.278406 0.960463i \(-0.410194\pi\)
−0.110340 + 0.993894i \(0.535194\pi\)
\(180\) 0.342811 + 0.840198i 0.0255516 + 0.0626246i
\(181\) −5.64020 + 8.44116i −0.419233 + 0.627426i −0.979633 0.200796i \(-0.935647\pi\)
0.560400 + 0.828222i \(0.310647\pi\)
\(182\) −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 −0.0337925 0.999429i \(-0.510759\pi\)
0.351245 + 0.936284i \(0.385759\pi\)
\(198\) −2.11938 + 2.56855i −0.150618 + 0.182539i
\(199\) 3.49809 + 8.44513i 0.247973 + 0.598659i 0.998032 0.0627118i \(-0.0199749\pi\)
−0.750059 + 0.661371i \(0.769975\pi\)
\(200\) 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 0.922858 + 0.385141i \(0.125847\pi\)
−0.999996 + 0.00266152i \(0.999153\pi\)
\(212\) −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 \(0.153384\pi\)
−0.886130 + 0.463436i \(0.846616\pi\)
\(224\) −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 0.937682 + 0.347495i \(0.112968\pi\)
−0.0377913 + 0.999286i \(0.512032\pi\)
\(228\) 12.6792 + 8.56959i 0.839698 + 0.567535i
\(229\) 1.91748 + 9.63980i 0.126710 + 0.637016i 0.990982 + 0.133991i \(0.0427795\pi\)
−0.864272 + 0.503025i \(0.832221\pi\)
\(230\) 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 0.766366 0.642404i \(-0.222063\pi\)
0.0876541 + 0.996151i \(0.472063\pi\)
\(234\) 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 −0.890038 0.455887i \(-0.849322\pi\)
−0.455887 0.890038i \(-0.650678\pi\)
\(240\) 0.646285 + 1.60833i 0.0417175 + 0.103817i
\(241\) 5.88520 5.88520i 0.379099 0.379099i −0.491678 0.870777i \(-0.663616\pi\)
0.870777 + 0.491678i \(0.163616\pi\)
\(242\) −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 0.0666425 0.997777i \(-0.478771\pi\)
0.443402 + 0.896323i \(0.353771\pi\)
\(252\) −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 0.996962 + 0.0778837i \(0.0248163\pi\)
−0.649887 + 0.760031i \(0.725184\pi\)
\(264\) −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 0.0606033 0.998162i \(-0.480698\pi\)
−0.325990 + 0.945373i \(0.605698\pi\)
\(270\) 2.06345 1.68429i 0.125578 0.102503i
\(271\) −8.75941 + 8.75941i −0.532096 + 0.532096i −0.921196 0.389099i \(-0.872786\pi\)
0.389099 + 0.921196i \(0.372786\pi\)
\(272\) 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 0.000945275 1.00000i \(-0.499699\pi\)
−0.923517 + 0.383557i \(0.874699\pi\)
\(278\) 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 0.0790137 0.996874i \(-0.474823\pi\)
0.760767 + 0.649025i \(0.224823\pi\)
\(282\) −0.0118232 0.123397i −0.000704060 0.00734821i
\(283\) 0.0531107 + 0.267006i 0.00315711 + 0.0158718i 0.982332 0.187148i \(-0.0599244\pi\)
−0.979175 + 0.203020i \(0.934924\pi\)
\(284\) 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 −0.952250 0.305319i \(-0.901237\pi\)
0.762924 0.646488i \(-0.223763\pi\)
\(294\) 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 0.386502 0.922288i \(-0.373683\pi\)
0.00413726 + 0.999991i \(0.498683\pi\)
\(308\) 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 −0.984528 0.175226i \(-0.943934\pi\)
0.820070 + 0.572263i \(0.193934\pi\)
\(312\) 13.1163 + 4.09305i 0.742566 + 0.231723i
\(313\) 5.70821 + 13.7808i 0.322647 + 0.778938i 0.999099 + 0.0424514i \(0.0135167\pi\)
−0.676452 + 0.736487i \(0.736483\pi\)
\(314\) 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 −0.845658 0.533725i \(-0.820792\pi\)
0.169478 + 0.985534i \(0.445792\pi\)
\(318\) 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 −0.193828 0.981035i \(-0.562090\pi\)
0.980533 0.196352i \(-0.0629095\pi\)
\(332\) −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 0.344780 0.938684i \(-0.387954\pi\)
−0.938684 + 0.344780i \(0.887954\pi\)
\(338\) −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 −0.942805 0.333345i \(-0.891823\pi\)
0.743472 0.668767i \(-0.233177\pi\)
\(348\) −13.8619 + 2.68093i −0.743075 + 0.143713i
\(349\) −0.0981410 0.146878i −0.00525337 0.00786222i 0.828834 0.559495i \(-0.189005\pi\)
−0.834087 + 0.551633i \(0.814005\pi\)
\(350\) −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 \(0.103716\pi\)
−0.947384 + 0.320100i \(0.896284\pi\)
\(354\) −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 0.800300 0.599600i \(-0.204674\pi\)
0.989879 0.141916i \(-0.0453263\pi\)
\(360\) −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 0.453434 0.891290i \(-0.350199\pi\)
−0.891290 + 0.453434i \(0.850199\pi\)
\(368\) −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 0.327617 + 0.944810i \(0.393754\pi\)
−0.998265 + 0.0588843i \(0.981246\pi\)
\(374\) 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 −0.820480 0.571676i \(-0.806294\pi\)
−0.539254 + 0.842143i \(0.681294\pi\)
\(380\) −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 −0.0221851 0.999754i \(-0.507062\pi\)
0.362093 + 0.932142i \(0.382062\pi\)
\(390\) 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 0.778611 0.627506i \(-0.215924\pi\)
0.479207 + 0.877702i \(0.340924\pi\)
\(398\) −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 0.760329 0.649538i \(-0.225038\pi\)
−0.649538 + 0.760329i \(0.725038\pi\)
\(402\) −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 −0.102409 0.994742i \(-0.532655\pi\)
0.630975 + 0.775803i \(0.282655\pi\)
\(410\) −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 0.979654 0.200696i \(-0.0643203\pi\)
−0.560316 + 0.828279i \(0.689320\pi\)
\(420\) −1.64386 + 0.317927i −0.0802120 + 0.0155133i
\(421\) −1.91938 9.64937i −0.0935448 0.470281i −0.998953 0.0457401i \(-0.985435\pi\)
0.905409 0.424541i \(-0.139565\pi\)
\(422\) −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 0.998748 0.0500230i \(-0.0159295\pi\)
−0.0500230 + 0.998748i \(0.515929\pi\)
\(432\) 21.8794 + 4.59393i 1.05267 + 0.221026i
\(433\) 28.0515 28.0515i 1.34807 1.34807i 0.460312 0.887757i \(-0.347738\pi\)
0.887757 0.460312i \(-0.152262\pi\)
\(434\) 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 −0.687702 0.725993i \(-0.741381\pi\)
0.999633 0.0270754i \(-0.00861943\pi\)
\(440\) 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 −0.600761 0.799429i \(-0.705136\pi\)
−0.249103 + 0.968477i \(0.580136\pi\)
\(444\) 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 0.703867 + 0.710332i \(0.251455\pi\)
−0.999990 + 0.00457167i \(0.998545\pi\)
\(458\) −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 −0.196295 0.980545i \(-0.562891\pi\)
−0.556591 + 0.830786i \(0.687891\pi\)
\(462\) −3.88526 4.75989i −0.180759 0.221450i
\(463\) 25.6472 25.6472i 1.19193 1.19193i 0.215401 0.976526i \(-0.430894\pi\)
0.976526 0.215401i \(-0.0691059\pi\)
\(464\) 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 0.0953188 + 0.995447i \(0.469613\pi\)
−0.469004 + 0.883196i \(0.655387\pi\)
\(468\) −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 \(-0.946143\pi\)
0.985720 0.168391i \(-0.0538570\pi\)
\(480\) −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 −0.680697 0.732565i \(-0.738323\pi\)
0.0366766 + 0.999327i \(0.488323\pi\)
\(488\) 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 0.828744 0.559628i \(-0.189056\pi\)
−0.199882 + 0.979820i \(0.564056\pi\)
\(492\) −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 −0.300540 0.953769i \(-0.597167\pi\)
−0.642654 + 0.766156i \(0.722167\pi\)
\(500\) −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 −0.838839 0.544380i \(-0.816765\pi\)
0.978083 + 0.208214i \(0.0667650\pi\)
\(504\) −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 −0.662490 0.749071i \(-0.730500\pi\)
0.438527 + 0.898718i \(0.355500\pi\)
\(510\) −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 −0.579085 0.815267i \(-0.696590\pi\)
0.985956 0.167006i \(-0.0534100\pi\)
\(522\) −4.90316 9.23199i −0.214605 0.404073i
\(523\) −11.7557 + 17.5936i −0.514040 + 0.769315i −0.994163 0.107886i \(-0.965592\pi\)
0.480123 + 0.877201i \(0.340592\pi\)
\(524\) 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 −0.922434 0.386156i \(-0.873803\pi\)
−0.00376128 0.999993i \(-0.501197\pi\)
\(542\) −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 0.453370 0.891322i \(-0.350222\pi\)
−0.996972 + 0.0777651i \(0.975222\pi\)
\(548\) 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 −0.950022 0.312183i \(-0.898940\pi\)
0.997173 + 0.0751386i \(0.0239399\pi\)
\(558\) 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 0.800603 0.599196i \(-0.204513\pi\)
0.510358 + 0.859962i \(0.329513\pi\)
\(564\) 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 0.744190 0.667967i \(-0.232835\pi\)
−0.998546 + 0.0538978i \(0.982835\pi\)
\(570\) −2.32083 + 2.81269i −0.0972088 + 0.117811i
\(571\) −7.92899 + 1.57717i −0.331818 + 0.0660027i −0.358188 0.933650i \(-0.616605\pi\)
0.0263699 + 0.999652i \(0.491605\pi\)
\(572\) 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 0.360256 + 0.932853i \(0.382689\pi\)
−0.999708 + 0.0241542i \(0.992311\pi\)
\(588\) 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 0.781798 0.623532i \(-0.214303\pi\)
−0.623532 + 0.781798i \(0.714303\pi\)
\(594\) −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 −0.0142697 0.999898i \(-0.504542\pi\)
−0.717125 + 0.696945i \(0.754542\pi\)
\(600\) 17.0478 5.02360i 0.695973 0.205088i
\(601\) −4.00096 + 1.65725i −0.163203 + 0.0676007i −0.462789 0.886468i \(-0.653151\pi\)
0.299586 + 0.954069i \(0.403151\pi\)
\(602\) −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 \(-0.896109\pi\)
0.947208 0.320619i \(-0.103891\pi\)
\(608\) 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 −0.628688 0.777657i \(-0.716408\pi\)
0.283236 0.959050i \(-0.408592\pi\)
\(614\) 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 0.547761 0.836635i \(-0.315480\pi\)
−0.204265 + 0.978916i \(0.565480\pi\)
\(618\) −9.92880 3.04065i −0.399395 0.122313i
\(619\) −1.39325 0.930941i −0.0559995 0.0374177i 0.527255 0.849707i \(-0.323221\pi\)
−0.583255 + 0.812289i \(0.698221\pi\)
\(620\) 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 −0.983222 0.182414i \(-0.941609\pi\)
0.824229 + 0.566257i \(0.191609\pi\)
\(632\) −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 −0.807040 0.590497i \(-0.798932\pi\)
0.236707 + 0.971581i \(0.423932\pi\)
\(644\) −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 0.881690 + 0.471829i \(0.156406\pi\)
−0.289815 + 0.957083i \(0.593594\pi\)
\(648\) −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 −0.174737 0.984615i \(-0.555907\pi\)
−0.538232 + 0.842797i \(0.680907\pi\)
\(654\) −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 −0.899734 0.436438i \(-0.856240\pi\)
0.998264 0.0589024i \(-0.0187601\pi\)
\(660\) −1.06603 1.07740i −0.0414953 0.0419379i
\(661\) −10.3862 6.93980i −0.403974 0.269927i 0.336941 0.941526i \(-0.390608\pi\)
−0.740915 + 0.671599i \(0.765608\pi\)
\(662\) 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 \(0.157610\pi\)
−0.879899 + 0.475160i \(0.842390\pi\)
\(674\) 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 0.946467 + 0.322802i \(0.104625\pi\)
−0.750890 + 0.660427i \(0.770375\pi\)
\(678\) −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 0.413857 0.910342i \(-0.364181\pi\)
−0.682670 + 0.730727i \(0.739181\pi\)
\(684\) −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 0.947009 0.321206i \(-0.104088\pi\)
0.752002 + 0.659160i \(0.229088\pi\)
\(692\) 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 −0.206848 0.978373i \(-0.566321\pi\)
0.824742 + 0.565510i \(0.191321\pi\)
\(702\) 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 −0.153555 0.988140i \(-0.549072\pi\)
0.236279 + 0.971685i \(0.424072\pi\)
\(710\) −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 −0.122856 0.992425i \(-0.539205\pi\)
0.992425 + 0.122856i \(0.0392053\pi\)
\(720\) −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 0.947767 0.318964i \(-0.103335\pi\)
0.444630 + 0.895714i \(0.353335\pi\)
\(728\) 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 0.610805 0.791781i \(-0.290846\pi\)
−0.965255 + 0.261309i \(0.915846\pi\)
\(734\) 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 0.999881 + 0.0154555i \(0.00491984\pi\)
−0.368359 + 0.929684i \(0.620080\pi\)
\(740\) −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 −0.893937 0.448192i \(-0.852068\pi\)
−0.315189 + 0.949029i \(0.602068\pi\)
\(744\) 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 −0.919740 0.392528i \(-0.871601\pi\)
−0.392528 0.919740i \(-0.628399\pi\)
\(752\) −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 −0.845208 0.534437i \(-0.820524\pi\)
0.817203 + 0.576350i \(0.195524\pi\)
\(758\) −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 0.999844 0.0176832i \(-0.00562903\pi\)
−0.719500 + 0.694492i \(0.755629\pi\)
\(762\) 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