Properties

Label 177.4.e.b.7.4
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.b.76.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.02689 - 2.98944i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-1.86736 + 4.68671i) q^{4} +(-15.6898 + 7.25888i) q^{5} +(-9.28436 + 5.58622i) q^{6} +(-2.35079 + 8.46678i) q^{7} +(-10.4232 + 2.29432i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.02689 - 2.98944i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-1.86736 + 4.68671i) q^{4} +(-15.6898 + 7.25888i) q^{5} +(-9.28436 + 5.58622i) q^{6} +(-2.35079 + 8.46678i) q^{7} +(-10.4232 + 2.29432i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(53.5015 + 32.1908i) q^{10} +(23.4623 - 22.2246i) q^{11} +(13.7362 + 6.35506i) q^{12} +(27.9911 - 3.04421i) q^{13} +(30.0757 - 10.1337i) q^{14} +(19.1964 + 48.1794i) q^{15} +(57.2868 + 54.2649i) q^{16} +(4.60003 + 16.5678i) q^{17} +(15.2261 + 28.7195i) q^{18} +(4.49473 - 3.41680i) q^{19} +(-4.72181 - 87.0886i) q^{20} +(24.9813 + 8.41717i) q^{21} +(-113.995 - 25.0921i) q^{22} +(13.1382 - 24.7813i) q^{23} +(5.17997 + 31.5964i) q^{24} +(112.556 - 132.511i) q^{25} +(-65.8353 - 77.5074i) q^{26} +(-4.36811 + 26.6443i) q^{27} +(-35.2916 - 26.8280i) q^{28} +(-129.276 + 190.668i) q^{29} +(105.120 - 155.041i) q^{30} +(176.872 + 134.455i) q^{31} +(32.2944 - 196.987i) q^{32} +(-62.7654 - 73.8932i) q^{33} +(40.2047 - 47.3326i) q^{34} +(-24.5759 - 149.906i) q^{35} +(21.2682 - 40.1161i) q^{36} +(193.114 + 42.5077i) q^{37} +(-19.3247 - 6.51123i) q^{38} +(-4.57303 - 84.3445i) q^{39} +(146.884 - 111.658i) q^{40} +(-188.025 - 354.653i) q^{41} +(-25.4717 - 91.7407i) q^{42} +(-7.88009 - 7.46442i) q^{43} +(60.3481 + 151.462i) q^{44} +(147.444 - 49.6797i) q^{45} +(-100.712 + 10.9531i) q^{46} +(457.602 + 211.709i) q^{47} +(171.860 - 162.795i) q^{48} +(227.742 + 137.028i) q^{49} +(-624.271 - 67.8935i) q^{50} +(50.3776 - 11.0890i) q^{51} +(-38.0020 + 136.871i) q^{52} +(-300.866 + 181.025i) q^{53} +(88.5052 - 40.9469i) q^{54} +(-206.792 + 519.010i) q^{55} +(5.07726 - 93.6446i) q^{56} +(-9.50536 - 14.0194i) q^{57} +832.021 q^{58} +(15.9221 + 452.908i) q^{59} -261.650 q^{60} +(92.1707 + 135.942i) q^{61} +(43.4437 - 801.272i) q^{62} +(29.2719 - 73.4669i) q^{63} +(-81.4196 + 37.6687i) q^{64} +(-417.077 + 250.947i) q^{65} +(-93.6805 + 337.407i) q^{66} +(-361.289 + 79.5258i) q^{67} +(-86.2384 - 9.37899i) q^{68} +(-72.1010 - 43.3817i) q^{69} +(-398.323 + 377.312i) q^{70} +(510.678 + 236.265i) q^{71} +(95.4916 - 10.3853i) q^{72} +(-829.146 + 279.372i) q^{73} +(-264.348 - 663.462i) q^{74} +(-378.668 - 358.694i) q^{75} +(7.62032 + 27.4459i) q^{76} +(133.016 + 250.895i) q^{77} +(-242.874 + 184.628i) q^{78} +(43.1425 + 795.717i) q^{79} +(-1292.72 - 435.569i) q^{80} +(79.1063 + 17.4126i) q^{81} +(-679.107 + 1280.93i) q^{82} +(169.395 + 1033.27i) q^{83} +(-86.0979 + 101.362i) q^{84} +(-192.437 - 226.555i) q^{85} +(-6.34235 + 38.6866i) q^{86} +(550.170 + 418.228i) q^{87} +(-193.562 + 285.482i) q^{88} +(324.052 - 477.940i) q^{89} +(-447.367 - 340.080i) q^{90} +(-40.0265 + 244.151i) q^{91} +(91.6092 + 107.851i) q^{92} +(431.499 - 508.000i) q^{93} +(-294.617 - 1797.08i) q^{94} +(-45.7193 + 86.2357i) q^{95} +(-584.850 - 128.735i) q^{96} +(146.874 + 49.4876i) q^{97} +(-51.9716 - 958.560i) q^{98} +(-231.549 + 176.019i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.02689 2.98944i −0.716614 1.05693i −0.995328 0.0965522i \(-0.969219\pi\)
0.278714 0.960374i \(-0.410092\pi\)
\(3\) 0.162417 2.99560i 0.0312571 0.576504i
\(4\) −1.86736 + 4.68671i −0.233420 + 0.585839i
\(5\) −15.6898 + 7.25888i −1.40334 + 0.649254i −0.967986 0.251005i \(-0.919239\pi\)
−0.435354 + 0.900259i \(0.643377\pi\)
\(6\) −9.28436 + 5.58622i −0.631721 + 0.380094i
\(7\) −2.35079 + 8.46678i −0.126931 + 0.457163i −0.999510 0.0313098i \(-0.990032\pi\)
0.872579 + 0.488473i \(0.162446\pi\)
\(8\) −10.4232 + 2.29432i −0.460645 + 0.101396i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) 53.5015 + 32.1908i 1.69187 + 1.01796i
\(11\) 23.4623 22.2246i 0.643103 0.609180i −0.295016 0.955492i \(-0.595325\pi\)
0.938119 + 0.346313i \(0.112566\pi\)
\(12\) 13.7362 + 6.35506i 0.330442 + 0.152879i
\(13\) 27.9911 3.04421i 0.597179 0.0649472i 0.195463 0.980711i \(-0.437379\pi\)
0.401717 + 0.915764i \(0.368414\pi\)
\(14\) 30.0757 10.1337i 0.574148 0.193453i
\(15\) 19.1964 + 48.1794i 0.330433 + 0.829324i
\(16\) 57.2868 + 54.2649i 0.895106 + 0.847890i
\(17\) 4.60003 + 16.5678i 0.0656277 + 0.236369i 0.989088 0.147324i \(-0.0470659\pi\)
−0.923461 + 0.383693i \(0.874652\pi\)
\(18\) 15.2261 + 28.7195i 0.199380 + 0.376070i
\(19\) 4.49473 3.41680i 0.0542717 0.0412563i −0.577687 0.816259i \(-0.696044\pi\)
0.631958 + 0.775002i \(0.282251\pi\)
\(20\) −4.72181 87.0886i −0.0527914 0.973680i
\(21\) 24.9813 + 8.41717i 0.259589 + 0.0874656i
\(22\) −113.995 25.0921i −1.10471 0.243166i
\(23\) 13.1382 24.7813i 0.119109 0.224663i −0.816787 0.576939i \(-0.804247\pi\)
0.935896 + 0.352275i \(0.114592\pi\)
\(24\) 5.17997 + 31.5964i 0.0440565 + 0.268733i
\(25\) 112.556 132.511i 0.900445 1.06009i
\(26\) −65.8353 77.5074i −0.496591 0.584632i
\(27\) −4.36811 + 26.6443i −0.0311350 + 0.189915i
\(28\) −35.2916 26.8280i −0.238196 0.181072i
\(29\) −129.276 + 190.668i −0.827794 + 1.22090i 0.145046 + 0.989425i \(0.453667\pi\)
−0.972840 + 0.231480i \(0.925643\pi\)
\(30\) 105.120 155.041i 0.639742 0.943548i
\(31\) 176.872 + 134.455i 1.02475 + 0.778992i 0.975546 0.219797i \(-0.0705396\pi\)
0.0492005 + 0.998789i \(0.484333\pi\)
\(32\) 32.2944 196.987i 0.178403 1.08821i
\(33\) −62.7654 73.8932i −0.331093 0.389793i
\(34\) 40.2047 47.3326i 0.202795 0.238749i
\(35\) −24.5759 149.906i −0.118688 0.723966i
\(36\) 21.2682 40.1161i 0.0984639 0.185723i
\(37\) 193.114 + 42.5077i 0.858049 + 0.188871i 0.622142 0.782905i \(-0.286263\pi\)
0.235908 + 0.971776i \(0.424194\pi\)
\(38\) −19.3247 6.51123i −0.0824966 0.0277964i
\(39\) −4.57303 84.3445i −0.0187762 0.346306i
\(40\) 146.884 111.658i 0.580610 0.441368i
\(41\) −188.025 354.653i −0.716209 1.35091i −0.927623 0.373517i \(-0.878152\pi\)
0.211414 0.977397i \(-0.432193\pi\)
\(42\) −25.4717 91.7407i −0.0935801 0.337045i
\(43\) −7.88009 7.46442i −0.0279466 0.0264724i 0.673599 0.739097i \(-0.264748\pi\)
−0.701545 + 0.712625i \(0.747506\pi\)
\(44\) 60.3481 + 151.462i 0.206768 + 0.518950i
\(45\) 147.444 49.6797i 0.488437 0.164573i
\(46\) −100.712 + 10.9531i −0.322808 + 0.0351075i
\(47\) 457.602 + 211.709i 1.42017 + 0.657042i 0.971584 0.236697i \(-0.0760647\pi\)
0.448589 + 0.893738i \(0.351927\pi\)
\(48\) 171.860 162.795i 0.516790 0.489529i
\(49\) 227.742 + 137.028i 0.663970 + 0.399498i
\(50\) −624.271 67.8935i −1.76570 0.192032i
\(51\) 50.3776 11.0890i 0.138319 0.0304464i
\(52\) −38.0020 + 136.871i −0.101345 + 0.365011i
\(53\) −300.866 + 181.025i −0.779756 + 0.469164i −0.848972 0.528438i \(-0.822778\pi\)
0.0692160 + 0.997602i \(0.477950\pi\)
\(54\) 88.5052 40.9469i 0.223038 0.103188i
\(55\) −206.792 + 519.010i −0.506980 + 1.27242i
\(56\) 5.07726 93.6446i 0.0121157 0.223460i
\(57\) −9.50536 14.0194i −0.0220880 0.0325774i
\(58\) 832.021 1.88361
\(59\) 15.9221 + 452.908i 0.0351336 + 0.999383i
\(60\) −261.650 −0.562980
\(61\) 92.1707 + 135.942i 0.193463 + 0.285337i 0.912032 0.410119i \(-0.134513\pi\)
−0.718569 + 0.695456i \(0.755202\pi\)
\(62\) 43.4437 801.272i 0.0889896 1.64132i
\(63\) 29.2719 73.4669i 0.0585382 0.146920i
\(64\) −81.4196 + 37.6687i −0.159023 + 0.0735717i
\(65\) −417.077 + 250.947i −0.795878 + 0.478864i
\(66\) −93.6805 + 337.407i −0.174716 + 0.629271i
\(67\) −361.289 + 79.5258i −0.658784 + 0.145009i −0.531766 0.846891i \(-0.678471\pi\)
−0.127018 + 0.991900i \(0.540540\pi\)
\(68\) −86.2384 9.37899i −0.153793 0.0167260i
\(69\) −72.1010 43.3817i −0.125796 0.0756891i
\(70\) −398.323 + 377.312i −0.680125 + 0.644248i
\(71\) 510.678 + 236.265i 0.853611 + 0.394922i 0.797367 0.603495i \(-0.206226\pi\)
0.0562436 + 0.998417i \(0.482088\pi\)
\(72\) 95.4916 10.3853i 0.156303 0.0169989i
\(73\) −829.146 + 279.372i −1.32937 + 0.447918i −0.892273 0.451496i \(-0.850891\pi\)
−0.437099 + 0.899413i \(0.643994\pi\)
\(74\) −264.348 663.462i −0.415267 1.04224i
\(75\) −378.668 358.694i −0.582998 0.552245i
\(76\) 7.62032 + 27.4459i 0.0115015 + 0.0414245i
\(77\) 133.016 + 250.895i 0.196865 + 0.371327i
\(78\) −242.874 + 184.628i −0.352565 + 0.268013i
\(79\) 43.1425 + 795.717i 0.0614419 + 1.13323i 0.852923 + 0.522036i \(0.174827\pi\)
−0.791481 + 0.611193i \(0.790690\pi\)
\(80\) −1292.72 435.569i −1.80663 0.608726i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) −679.107 + 1280.93i −0.914571 + 1.72506i
\(83\) 169.395 + 1033.27i 0.224019 + 1.36645i 0.824068 + 0.566490i \(0.191699\pi\)
−0.600050 + 0.799963i \(0.704853\pi\)
\(84\) −86.0979 + 101.362i −0.111834 + 0.131661i
\(85\) −192.437 226.555i −0.245562 0.289098i
\(86\) −6.34235 + 38.6866i −0.00795248 + 0.0485080i
\(87\) 550.170 + 418.228i 0.677981 + 0.515388i
\(88\) −193.562 + 285.482i −0.234474 + 0.345824i
\(89\) 324.052 477.940i 0.385948 0.569231i −0.584241 0.811580i \(-0.698608\pi\)
0.970189 + 0.242349i \(0.0779179\pi\)
\(90\) −447.367 340.080i −0.523962 0.398306i
\(91\) −40.0265 + 244.151i −0.0461090 + 0.281252i
\(92\) 91.6092 + 107.851i 0.103814 + 0.122220i
\(93\) 431.499 508.000i 0.481122 0.566421i
\(94\) −294.617 1797.08i −0.323270 1.97186i
\(95\) −45.7193 + 86.2357i −0.0493758 + 0.0931326i
\(96\) −584.850 128.735i −0.621781 0.136864i
\(97\) 146.874 + 49.4876i 0.153740 + 0.0518011i 0.395119 0.918630i \(-0.370703\pi\)
−0.241379 + 0.970431i \(0.577600\pi\)
\(98\) −51.9716 958.560i −0.0535707 0.988053i
\(99\) −231.549 + 176.019i −0.235066 + 0.178692i
\(100\) 410.858 + 774.961i 0.410858 + 0.774961i
\(101\) 131.728 + 474.440i 0.129776 + 0.467412i 0.999666 0.0258340i \(-0.00822414\pi\)
−0.869890 + 0.493246i \(0.835810\pi\)
\(102\) −135.260 128.125i −0.131301 0.124375i
\(103\) −111.183 279.047i −0.106361 0.266945i 0.866158 0.499770i \(-0.166582\pi\)
−0.972519 + 0.232825i \(0.925203\pi\)
\(104\) −284.773 + 95.9511i −0.268502 + 0.0904690i
\(105\) −453.051 + 49.2723i −0.421079 + 0.0457951i
\(106\) 1150.98 + 532.502i 1.05466 + 0.487935i
\(107\) 511.089 484.129i 0.461765 0.437407i −0.421114 0.907008i \(-0.638361\pi\)
0.882879 + 0.469601i \(0.155602\pi\)
\(108\) −116.717 70.2266i −0.103992 0.0625699i
\(109\) 1103.71 + 120.036i 0.969876 + 0.105480i 0.579321 0.815099i \(-0.303318\pi\)
0.390555 + 0.920580i \(0.372283\pi\)
\(110\) 1970.69 433.783i 1.70817 0.375996i
\(111\) 158.701 571.590i 0.135705 0.488765i
\(112\) −594.119 + 357.469i −0.501240 + 0.301586i
\(113\) 419.783 194.212i 0.349468 0.161681i −0.237300 0.971437i \(-0.576262\pi\)
0.586768 + 0.809755i \(0.300400\pi\)
\(114\) −22.6437 + 56.8314i −0.0186033 + 0.0466908i
\(115\) −26.2516 + 484.183i −0.0212868 + 0.392611i
\(116\) −652.203 961.928i −0.522030 0.769937i
\(117\) −253.405 −0.200234
\(118\) 1321.67 965.592i 1.03110 0.753305i
\(119\) −151.090 −0.116390
\(120\) −310.627 458.141i −0.236302 0.348520i
\(121\) −15.5156 + 286.168i −0.0116571 + 0.215002i
\(122\) 219.569 551.078i 0.162942 0.408953i
\(123\) −1092.94 + 505.646i −0.801193 + 0.370671i
\(124\) −960.433 + 577.873i −0.695560 + 0.418504i
\(125\) −225.981 + 813.911i −0.161699 + 0.582387i
\(126\) −278.956 + 61.4028i −0.197233 + 0.0434142i
\(127\) −1962.42 213.426i −1.37115 0.149122i −0.607280 0.794488i \(-0.707739\pi\)
−0.763874 + 0.645366i \(0.776705\pi\)
\(128\) −1090.71 656.258i −0.753171 0.453168i
\(129\) −23.6403 + 22.3933i −0.0161350 + 0.0152838i
\(130\) 1595.56 + 738.185i 1.07646 + 0.498024i
\(131\) 2091.91 227.509i 1.39520 0.151737i 0.620568 0.784153i \(-0.286902\pi\)
0.774629 + 0.632416i \(0.217937\pi\)
\(132\) 463.522 156.179i 0.305639 0.102982i
\(133\) 18.3632 + 46.0881i 0.0119721 + 0.0300477i
\(134\) 970.031 + 918.862i 0.625358 + 0.592370i
\(135\) −124.873 449.752i −0.0796101 0.286730i
\(136\) −85.9590 162.136i −0.0541979 0.102228i
\(137\) −1259.58 + 957.505i −0.785495 + 0.597118i −0.919149 0.393910i \(-0.871122\pi\)
0.133654 + 0.991028i \(0.457329\pi\)
\(138\) 16.4538 + 303.472i 0.0101495 + 0.187197i
\(139\) 1002.34 + 337.727i 0.611634 + 0.206084i 0.608035 0.793910i \(-0.291958\pi\)
0.00359897 + 0.999994i \(0.498854\pi\)
\(140\) 748.460 + 164.749i 0.451832 + 0.0994556i
\(141\) 708.518 1336.41i 0.423177 0.798197i
\(142\) −328.789 2005.52i −0.194305 1.18521i
\(143\) 589.077 693.516i 0.344483 0.405557i
\(144\) −459.755 541.266i −0.266062 0.313232i
\(145\) 644.283 3929.95i 0.368999 2.25079i
\(146\) 2515.75 + 1912.42i 1.42606 + 1.08406i
\(147\) 447.469 659.968i 0.251066 0.370294i
\(148\) −559.835 + 825.695i −0.310934 + 0.458593i
\(149\) 1699.31 + 1291.78i 0.934315 + 0.710248i 0.957181 0.289491i \(-0.0934860\pi\)
−0.0228660 + 0.999739i \(0.507279\pi\)
\(150\) −304.774 + 1859.04i −0.165898 + 1.01193i
\(151\) −615.385 724.487i −0.331651 0.390450i 0.570909 0.821013i \(-0.306591\pi\)
−0.902560 + 0.430563i \(0.858315\pi\)
\(152\) −39.0103 + 45.9265i −0.0208168 + 0.0245074i
\(153\) −25.0359 152.712i −0.0132290 0.0806932i
\(154\) 480.427 906.181i 0.251389 0.474170i
\(155\) −3751.08 825.674i −1.94383 0.427869i
\(156\) 403.838 + 136.069i 0.207262 + 0.0698348i
\(157\) −202.777 3740.00i −0.103079 1.90117i −0.357241 0.934012i \(-0.616283\pi\)
0.254163 0.967161i \(-0.418200\pi\)
\(158\) 2291.30 1741.80i 1.15371 0.877028i
\(159\) 493.412 + 930.674i 0.246102 + 0.464197i
\(160\) 923.214 + 3325.12i 0.456165 + 1.64296i
\(161\) 178.933 + 169.494i 0.0875893 + 0.0829690i
\(162\) −108.286 271.777i −0.0525169 0.131807i
\(163\) −1884.82 + 635.070i −0.905709 + 0.305169i −0.733339 0.679863i \(-0.762039\pi\)
−0.172370 + 0.985032i \(0.555142\pi\)
\(164\) 2013.27 218.956i 0.958596 0.104254i
\(165\) 1521.16 + 703.764i 0.717710 + 0.332048i
\(166\) 2745.54 2600.71i 1.28371 1.21599i
\(167\) −2112.63 1271.12i −0.978921 0.588997i −0.0662984 0.997800i \(-0.521119\pi\)
−0.912623 + 0.408802i \(0.865947\pi\)
\(168\) −279.697 30.4189i −0.128447 0.0139695i
\(169\) −1371.40 + 301.868i −0.624216 + 0.137400i
\(170\) −287.222 + 1034.48i −0.129582 + 0.466712i
\(171\) −43.5402 + 26.1973i −0.0194714 + 0.0117155i
\(172\) 49.6985 22.9930i 0.0220319 0.0101930i
\(173\) −674.488 + 1692.84i −0.296418 + 0.743954i 0.703043 + 0.711147i \(0.251824\pi\)
−0.999462 + 0.0328069i \(0.989555\pi\)
\(174\) 135.134 2492.40i 0.0588764 1.08591i
\(175\) 857.345 + 1264.49i 0.370338 + 0.546208i
\(176\) 2550.10 1.09216
\(177\) 1359.32 + 25.8635i 0.577246 + 0.0109832i
\(178\) −2085.59 −0.878211
\(179\) 1671.91 + 2465.89i 0.698126 + 1.02966i 0.997152 + 0.0754144i \(0.0240280\pi\)
−0.299026 + 0.954245i \(0.596662\pi\)
\(180\) −42.4963 + 783.797i −0.0175971 + 0.324560i
\(181\) −410.276 + 1029.71i −0.168484 + 0.422862i −0.988838 0.148993i \(-0.952397\pi\)
0.820355 + 0.571855i \(0.193776\pi\)
\(182\) 811.003 375.210i 0.330305 0.152815i
\(183\) 422.197 254.027i 0.170545 0.102613i
\(184\) −80.0861 + 288.444i −0.0320871 + 0.115567i
\(185\) −3338.49 + 734.857i −1.32676 + 0.292042i
\(186\) −2393.24 260.280i −0.943444 0.102606i
\(187\) 476.140 + 286.484i 0.186197 + 0.112031i
\(188\) −1846.73 + 1749.31i −0.716417 + 0.678626i
\(189\) −215.323 99.6191i −0.0828701 0.0383398i
\(190\) 350.464 38.1153i 0.133818 0.0145536i
\(191\) −1064.03 + 358.512i −0.403090 + 0.135817i −0.513542 0.858065i \(-0.671667\pi\)
0.110452 + 0.993882i \(0.464770\pi\)
\(192\) 99.6166 + 250.019i 0.0374438 + 0.0939768i
\(193\) 1166.97 + 1105.41i 0.435235 + 0.412276i 0.873695 0.486474i \(-0.161717\pi\)
−0.438460 + 0.898751i \(0.644476\pi\)
\(194\) −149.757 539.377i −0.0554224 0.199614i
\(195\) 683.997 + 1290.15i 0.251190 + 0.473794i
\(196\) −1067.49 + 811.481i −0.389025 + 0.295729i
\(197\) −87.1158 1606.76i −0.0315063 0.581100i −0.971080 0.238754i \(-0.923261\pi\)
0.939574 0.342346i \(-0.111222\pi\)
\(198\) 995.521 + 335.430i 0.357316 + 0.120394i
\(199\) −3076.58 677.207i −1.09595 0.241236i −0.370030 0.929020i \(-0.620653\pi\)
−0.725915 + 0.687784i \(0.758584\pi\)
\(200\) −869.169 + 1639.43i −0.307298 + 0.579625i
\(201\) 179.548 + 1095.19i 0.0630067 + 0.384324i
\(202\) 1151.31 1355.43i 0.401020 0.472118i
\(203\) −1310.45 1542.78i −0.453080 0.533407i
\(204\) −42.1023 + 256.813i −0.0144498 + 0.0881396i
\(205\) 5524.46 + 4199.59i 1.88217 + 1.43079i
\(206\) −608.840 + 897.971i −0.205922 + 0.303712i
\(207\) −141.665 + 208.940i −0.0475671 + 0.0701562i
\(208\) 1768.71 + 1344.54i 0.589607 + 0.448207i
\(209\) 29.5193 180.060i 0.00976982 0.0595932i
\(210\) 1065.58 + 1254.50i 0.350153 + 0.412232i
\(211\) 895.598 1054.38i 0.292206 0.344012i −0.596396 0.802690i \(-0.703401\pi\)
0.888602 + 0.458679i \(0.151677\pi\)
\(212\) −286.588 1748.11i −0.0928440 0.566324i
\(213\) 790.698 1491.41i 0.254355 0.479765i
\(214\) −2483.19 546.592i −0.793214 0.174599i
\(215\) 177.821 + 59.9147i 0.0564059 + 0.0190053i
\(216\) −15.6009 287.741i −0.00491438 0.0906404i
\(217\) −1554.19 + 1181.46i −0.486198 + 0.369598i
\(218\) −1878.26 3542.78i −0.583542 1.10068i
\(219\) 702.219 + 2529.16i 0.216674 + 0.780388i
\(220\) −2046.30 1938.35i −0.627097 0.594017i
\(221\) 179.196 + 449.747i 0.0545430 + 0.136893i
\(222\) −2030.40 + 684.122i −0.613837 + 0.206826i
\(223\) 1739.55 189.187i 0.522371 0.0568113i 0.156865 0.987620i \(-0.449861\pi\)
0.365506 + 0.930809i \(0.380896\pi\)
\(224\) 1591.93 + 736.506i 0.474845 + 0.219687i
\(225\) −1136.00 + 1076.08i −0.336594 + 0.318839i
\(226\) −1431.44 861.269i −0.421319 0.253499i
\(227\) −1803.87 196.182i −0.527431 0.0573615i −0.159470 0.987203i \(-0.550978\pi\)
−0.367961 + 0.929841i \(0.619944\pi\)
\(228\) 83.4546 18.3698i 0.0242409 0.00533582i
\(229\) 179.245 645.580i 0.0517241 0.186293i −0.933175 0.359422i \(-0.882974\pi\)
0.984899 + 0.173129i \(0.0553877\pi\)
\(230\) 1500.64 902.908i 0.430215 0.258852i
\(231\) 773.186 357.714i 0.220225 0.101887i
\(232\) 910.021 2283.98i 0.257525 0.646339i
\(233\) −44.5482 + 821.644i −0.0125255 + 0.231020i 0.985567 + 0.169285i \(0.0541460\pi\)
−0.998093 + 0.0617345i \(0.980337\pi\)
\(234\) 513.625 + 757.539i 0.143490 + 0.211632i
\(235\) −8716.46 −2.41957
\(236\) −2152.38 771.118i −0.593678 0.212693i
\(237\) 2390.66 0.655231
\(238\) 306.242 + 451.673i 0.0834064 + 0.123015i
\(239\) −101.861 + 1878.71i −0.0275683 + 0.508468i 0.951842 + 0.306589i \(0.0991876\pi\)
−0.979410 + 0.201879i \(0.935295\pi\)
\(240\) −1514.75 + 3801.73i −0.407403 + 1.02250i
\(241\) 386.105 178.631i 0.103200 0.0477454i −0.367610 0.929980i \(-0.619824\pi\)
0.470810 + 0.882235i \(0.343962\pi\)
\(242\) 886.931 533.648i 0.235595 0.141753i
\(243\) 65.0094 234.143i 0.0171620 0.0618118i
\(244\) −809.235 + 178.126i −0.212320 + 0.0467351i
\(245\) −4567.89 496.789i −1.19115 0.129546i
\(246\) 3726.86 + 2242.38i 0.965918 + 0.581174i
\(247\) 115.411 109.323i 0.0297304 0.0281622i
\(248\) −2152.06 995.647i −0.551031 0.254934i
\(249\) 3122.76 339.621i 0.794767 0.0864361i
\(250\) 2891.18 974.151i 0.731416 0.246443i
\(251\) −1603.91 4025.51i −0.403338 1.01230i −0.980648 0.195778i \(-0.937277\pi\)
0.577310 0.816525i \(-0.304103\pi\)
\(252\) 289.657 + 274.378i 0.0724075 + 0.0685880i
\(253\) −242.503 873.417i −0.0602610 0.217041i
\(254\) 3339.58 + 6299.12i 0.824977 + 1.55607i
\(255\) −709.922 + 539.669i −0.174341 + 0.132531i
\(256\) 287.759 + 5307.41i 0.0702537 + 1.29575i
\(257\) −5604.83 1888.49i −1.36039 0.458368i −0.457869 0.889020i \(-0.651387\pi\)
−0.902518 + 0.430652i \(0.858284\pi\)
\(258\) 114.860 + 25.2825i 0.0277164 + 0.00610085i
\(259\) −813.875 + 1535.13i −0.195258 + 0.368295i
\(260\) −397.285 2423.33i −0.0947637 0.578033i
\(261\) 1342.20 1580.16i 0.318315 0.374749i
\(262\) −4920.19 5792.49i −1.16019 1.36588i
\(263\) 6.27707 38.2884i 0.00147171 0.00897706i −0.986080 0.166269i \(-0.946828\pi\)
0.987552 + 0.157292i \(0.0502763\pi\)
\(264\) 823.753 + 626.200i 0.192040 + 0.145985i
\(265\) 3406.49 5024.19i 0.789656 1.16466i
\(266\) 100.557 148.311i 0.0231788 0.0341862i
\(267\) −1379.09 1048.35i −0.316100 0.240293i
\(268\) 301.942 1841.76i 0.0688210 0.419789i
\(269\) 4288.52 + 5048.83i 0.972028 + 1.14436i 0.989503 + 0.144513i \(0.0461614\pi\)
−0.0174749 + 0.999847i \(0.505563\pi\)
\(270\) −1091.40 + 1284.90i −0.246002 + 0.289616i
\(271\) −1306.89 7971.68i −0.292944 1.78688i −0.565507 0.824743i \(-0.691320\pi\)
0.272563 0.962138i \(-0.412129\pi\)
\(272\) −635.530 + 1198.74i −0.141671 + 0.267221i
\(273\) 724.877 + 159.557i 0.160702 + 0.0353731i
\(274\) 5415.42 + 1824.67i 1.19401 + 0.402308i
\(275\) −304.193 5610.51i −0.0667037 1.23028i
\(276\) 337.956 256.908i 0.0737050 0.0560291i
\(277\) 446.094 + 841.422i 0.0967624 + 0.182513i 0.927168 0.374647i \(-0.122236\pi\)
−0.830405 + 0.557160i \(0.811891\pi\)
\(278\) −1022.01 3680.96i −0.220490 0.794135i
\(279\) −1451.68 1375.11i −0.311505 0.295073i
\(280\) 600.093 + 1506.12i 0.128080 + 0.321457i
\(281\) 6635.02 2235.60i 1.40858 0.474608i 0.490656 0.871353i \(-0.336757\pi\)
0.917929 + 0.396746i \(0.129861\pi\)
\(282\) −5431.20 + 590.678i −1.14689 + 0.124732i
\(283\) −5394.80 2495.90i −1.13317 0.524261i −0.238570 0.971125i \(-0.576679\pi\)
−0.894602 + 0.446864i \(0.852541\pi\)
\(284\) −2060.92 + 1952.21i −0.430610 + 0.407896i
\(285\) 250.902 + 150.963i 0.0521479 + 0.0313764i
\(286\) −3267.22 355.331i −0.675506 0.0734657i
\(287\) 3444.78 758.252i 0.708497 0.155952i
\(288\) −480.629 + 1731.07i −0.0983379 + 0.354181i
\(289\) 3956.41 2380.49i 0.805294 0.484529i
\(290\) −13054.2 + 6039.54i −2.64335 + 1.22294i
\(291\) 172.100 431.938i 0.0346690 0.0870126i
\(292\) 238.976 4407.66i 0.0478939 0.883351i
\(293\) 4880.66 + 7198.43i 0.973143 + 1.43528i 0.898958 + 0.438035i \(0.144325\pi\)
0.0741854 + 0.997244i \(0.476364\pi\)
\(294\) −2879.90 −0.571291
\(295\) −3537.42 6990.46i −0.698158 1.37966i
\(296\) −2110.40 −0.414407
\(297\) 489.674 + 722.215i 0.0956693 + 0.141102i
\(298\) 417.389 7698.28i 0.0811365 1.49648i
\(299\) 292.313 733.651i 0.0565382 0.141900i
\(300\) 2388.20 1104.90i 0.459610 0.212638i
\(301\) 81.7241 49.1717i 0.0156495 0.00941598i
\(302\) −918.492 + 3308.11i −0.175011 + 0.630332i
\(303\) 1442.63 317.547i 0.273521 0.0602065i
\(304\) 442.901 + 48.1684i 0.0835596 + 0.00908766i
\(305\) −2432.93 1463.84i −0.456751 0.274818i
\(306\) −405.779 + 384.374i −0.0758067 + 0.0718079i
\(307\) −220.793 102.150i −0.0410467 0.0189902i 0.399258 0.916838i \(-0.369268\pi\)
−0.440305 + 0.897848i \(0.645130\pi\)
\(308\) −1424.26 + 154.898i −0.263490 + 0.0286563i
\(309\) −853.971 + 287.736i −0.157219 + 0.0529733i
\(310\) 5134.72 + 12887.2i 0.940749 + 2.36110i
\(311\) 5878.34 + 5568.26i 1.07180 + 1.01526i 0.999841 + 0.0178567i \(0.00568426\pi\)
0.0719608 + 0.997407i \(0.477074\pi\)
\(312\) 241.179 + 868.649i 0.0437631 + 0.157620i
\(313\) 1991.23 + 3755.86i 0.359588 + 0.678254i 0.995629 0.0934010i \(-0.0297738\pi\)
−0.636041 + 0.771655i \(0.719429\pi\)
\(314\) −10769.5 + 8186.75i −1.93553 + 1.47135i
\(315\) 74.0169 + 1365.16i 0.0132393 + 0.244185i
\(316\) −3809.86 1283.69i −0.678232 0.228523i
\(317\) 199.221 + 43.8519i 0.0352977 + 0.00776962i 0.232584 0.972576i \(-0.425282\pi\)
−0.197286 + 0.980346i \(0.563213\pi\)
\(318\) 1782.10 3361.40i 0.314262 0.592761i
\(319\) 1204.42 + 7346.63i 0.211393 + 1.28944i
\(320\) 1004.03 1182.03i 0.175396 0.206492i
\(321\) −1367.25 1609.65i −0.237733 0.279881i
\(322\) 144.015 878.454i 0.0249244 0.152032i
\(323\) 77.2848 + 58.7504i 0.0133134 + 0.0101206i
\(324\) −229.328 + 338.233i −0.0393223 + 0.0579960i
\(325\) 2747.16 4051.76i 0.468877 0.691542i
\(326\) 5718.83 + 4347.34i 0.971584 + 0.738579i
\(327\) 538.841 3286.79i 0.0911254 0.555840i
\(328\) 2773.51 + 3265.23i 0.466895 + 0.549672i
\(329\) −2868.22 + 3376.73i −0.480639 + 0.565852i
\(330\) −979.366 5973.87i −0.163371 0.996517i
\(331\) 16.9150 31.9051i 0.00280886 0.00529808i −0.882104 0.471055i \(-0.843873\pi\)
0.884913 + 0.465757i \(0.154218\pi\)
\(332\) −5158.94 1135.57i −0.852812 0.187718i
\(333\) −1686.48 568.241i −0.277533 0.0935117i
\(334\) 482.110 + 8891.99i 0.0789817 + 1.45673i
\(335\) 5091.29 3870.30i 0.830349 0.631215i
\(336\) 974.340 + 1837.80i 0.158198 + 0.298394i
\(337\) 362.335 + 1305.01i 0.0585686 + 0.210945i 0.987044 0.160448i \(-0.0512940\pi\)
−0.928476 + 0.371393i \(0.878880\pi\)
\(338\) 3682.10 + 3487.87i 0.592544 + 0.561287i
\(339\) −513.603 1289.05i −0.0822864 0.206523i
\(340\) 1421.15 478.840i 0.226684 0.0763786i
\(341\) 7138.02 776.306i 1.13356 0.123282i
\(342\) 166.566 + 77.0618i 0.0263359 + 0.0121843i
\(343\) −3883.68 + 3678.82i −0.611368 + 0.579118i
\(344\) 99.2617 + 59.7238i 0.0155576 + 0.00936073i
\(345\) 1446.15 + 157.279i 0.225676 + 0.0245438i
\(346\) 6427.75 1414.85i 0.998722 0.219835i
\(347\) −1824.69 + 6571.92i −0.282289 + 1.01671i 0.677392 + 0.735622i \(0.263110\pi\)
−0.959681 + 0.281091i \(0.909304\pi\)
\(348\) −2987.48 + 1797.51i −0.460189 + 0.276886i
\(349\) −2577.69 + 1192.57i −0.395360 + 0.182913i −0.607488 0.794329i \(-0.707823\pi\)
0.212128 + 0.977242i \(0.431961\pi\)
\(350\) 2042.37 5125.96i 0.311912 0.782840i
\(351\) −41.1572 + 759.101i −0.00625872 + 0.115435i
\(352\) −3620.27 5339.50i −0.548185 0.808512i
\(353\) 9708.30 1.46380 0.731899 0.681413i \(-0.238634\pi\)
0.731899 + 0.681413i \(0.238634\pi\)
\(354\) −2677.87 4116.02i −0.402054 0.617977i
\(355\) −9727.46 −1.45431
\(356\) 1634.85 + 2411.22i 0.243390 + 0.358973i
\(357\) −24.5395 + 452.604i −0.00363800 + 0.0670990i
\(358\) 3982.84 9996.16i 0.587987 1.47574i
\(359\) 9365.54 4332.96i 1.37686 0.637005i 0.414821 0.909903i \(-0.363844\pi\)
0.962043 + 0.272897i \(0.0879820\pi\)
\(360\) −1422.86 + 856.106i −0.208309 + 0.125335i
\(361\) −1826.45 + 6578.27i −0.266285 + 0.959072i
\(362\) 3909.85 860.623i 0.567672 0.124954i
\(363\) 854.725 + 92.9570i 0.123585 + 0.0134407i
\(364\) −1069.52 643.509i −0.154006 0.0926622i
\(365\) 10981.2 10402.0i 1.57475 1.49168i
\(366\) −1615.15 747.246i −0.230670 0.106719i
\(367\) 6618.35 719.789i 0.941349 0.102378i 0.375441 0.926846i \(-0.377491\pi\)
0.565908 + 0.824468i \(0.308526\pi\)
\(368\) 2097.40 706.697i 0.297105 0.100106i
\(369\) 1337.20 + 3356.13i 0.188650 + 0.473477i
\(370\) 8963.56 + 8490.73i 1.25944 + 1.19301i
\(371\) −825.425 2972.91i −0.115509 0.416027i
\(372\) 1575.09 + 2970.93i 0.219528 + 0.414074i
\(373\) −6946.59 + 5280.66i −0.964292 + 0.733036i −0.963706 0.266964i \(-0.913980\pi\)
−0.000585622 1.00000i \(0.500186\pi\)
\(374\) −108.657 2004.06i −0.0150228 0.277079i
\(375\) 2401.45 + 809.142i 0.330694 + 0.111424i
\(376\) −5255.41 1156.80i −0.720817 0.158664i
\(377\) −3038.15 + 5730.56i −0.415047 + 0.782862i
\(378\) 138.631 + 845.612i 0.0188635 + 0.115062i
\(379\) −3168.71 + 3730.49i −0.429461 + 0.505600i −0.933746 0.357937i \(-0.883480\pi\)
0.504285 + 0.863537i \(0.331756\pi\)
\(380\) −318.788 375.306i −0.0430355 0.0506653i
\(381\) −958.069 + 5843.96i −0.128828 + 0.785814i
\(382\) 3228.41 + 2454.18i 0.432408 + 0.328708i
\(383\) 8118.03 11973.2i 1.08306 1.59739i 0.324382 0.945926i \(-0.394844\pi\)
0.758677 0.651467i \(-0.225846\pi\)
\(384\) −2143.03 + 3160.74i −0.284795 + 0.420041i
\(385\) −3908.22 2970.95i −0.517354 0.393282i
\(386\) 939.244 5729.14i 0.123850 0.755454i
\(387\) 63.2417 + 74.4539i 0.00830686 + 0.00977959i
\(388\) −506.201 + 595.946i −0.0662331 + 0.0779757i
\(389\) 2403.29 + 14659.4i 0.313243 + 1.91070i 0.403872 + 0.914815i \(0.367664\pi\)
−0.0906290 + 0.995885i \(0.528888\pi\)
\(390\) 2470.45 4659.77i 0.320760 0.605017i
\(391\) 471.008 + 103.677i 0.0609204 + 0.0134096i
\(392\) −2688.19 905.756i −0.346362 0.116703i
\(393\) −341.764 6303.47i −0.0438670 0.809079i
\(394\) −4626.73 + 3517.15i −0.591602 + 0.449724i
\(395\) −6452.91 12171.5i −0.821978 1.55041i
\(396\) −392.565 1413.89i −0.0498160 0.179421i
\(397\) −9450.57 8952.05i −1.19474 1.13171i −0.988183 0.153279i \(-0.951017\pi\)
−0.206554 0.978435i \(-0.566225\pi\)
\(398\) 4211.42 + 10569.9i 0.530401 + 1.33121i
\(399\) 141.044 47.5232i 0.0176968 0.00596275i
\(400\) 13638.6 1483.29i 1.70483 0.185411i
\(401\) 6706.31 + 3102.67i 0.835155 + 0.386384i 0.790383 0.612613i \(-0.209882\pi\)
0.0447722 + 0.998997i \(0.485744\pi\)
\(402\) 2910.09 2756.59i 0.361050 0.342005i
\(403\) 5360.14 + 3225.09i 0.662550 + 0.398643i
\(404\) −2469.55 268.580i −0.304120 0.0330751i
\(405\) −1367.56 + 301.022i −0.167789 + 0.0369331i
\(406\) −1955.91 + 7044.54i −0.239089 + 0.861119i
\(407\) 5475.62 3294.57i 0.666871 0.401243i
\(408\) −499.655 + 231.165i −0.0606290 + 0.0280499i
\(409\) 1035.99 2600.15i 0.125248 0.314350i −0.852960 0.521977i \(-0.825195\pi\)
0.978208 + 0.207627i \(0.0665740\pi\)
\(410\) 1356.93 25027.1i 0.163449 3.01464i
\(411\) 2663.73 + 3928.70i 0.319688 + 0.471505i
\(412\) 1515.43 0.181213
\(413\) −3872.10 929.882i −0.461341 0.110791i
\(414\) 911.752 0.108237
\(415\) −10158.1 14982.1i −1.20155 1.77215i
\(416\) 304.285 5612.20i 0.0358624 0.661444i
\(417\) 1174.49 2947.75i 0.137926 0.346168i
\(418\) −598.110 + 276.715i −0.0699868 + 0.0323794i
\(419\) −11610.7 + 6985.94i −1.35375 + 0.814524i −0.992997 0.118137i \(-0.962308\pi\)
−0.360753 + 0.932661i \(0.617480\pi\)
\(420\) 615.083 2215.33i 0.0714595 0.257374i
\(421\) 9490.24 2088.96i 1.09864 0.241828i 0.371576 0.928402i \(-0.378817\pi\)
0.727060 + 0.686574i \(0.240886\pi\)
\(422\) −4967.28 540.224i −0.572994 0.0623168i
\(423\) −3888.27 2339.49i −0.446936 0.268913i
\(424\) 2720.66 2577.14i 0.311620 0.295182i
\(425\) 2713.17 + 1255.25i 0.309666 + 0.143267i
\(426\) −6061.15 + 659.190i −0.689351 + 0.0749715i
\(427\) −1367.66 + 460.819i −0.155002 + 0.0522262i
\(428\) 1314.59 + 3299.37i 0.148465 + 0.372619i
\(429\) −1981.82 1877.28i −0.223038 0.211272i
\(430\) −181.311 653.024i −0.0203340 0.0732363i
\(431\) −7658.33 14445.1i −0.855890 1.61438i −0.787163 0.616745i \(-0.788451\pi\)
−0.0687269 0.997636i \(-0.521894\pi\)
\(432\) −1696.09 + 1289.33i −0.188896 + 0.143595i
\(433\) 658.001 + 12136.1i 0.0730289 + 1.34694i 0.773744 + 0.633498i \(0.218381\pi\)
−0.700715 + 0.713441i \(0.747136\pi\)
\(434\) 6682.07 + 2251.45i 0.739054 + 0.249016i
\(435\) −11667.9 2568.31i −1.28606 0.283082i
\(436\) −2623.60 + 4948.64i −0.288183 + 0.543570i
\(437\) −25.6202 156.276i −0.00280453 0.0171069i
\(438\) 6137.46 7225.58i 0.669542 0.788245i
\(439\) 6957.82 + 8191.38i 0.756443 + 0.890554i 0.996784 0.0801346i \(-0.0255350\pi\)
−0.240341 + 0.970689i \(0.577259\pi\)
\(440\) 964.666 5884.20i 0.104520 0.637542i
\(441\) −1904.32 1447.63i −0.205628 0.156315i
\(442\) 981.282 1447.28i 0.105599 0.155747i
\(443\) −564.758 + 832.956i −0.0605699 + 0.0893339i −0.856768 0.515702i \(-0.827531\pi\)
0.796198 + 0.605036i \(0.206841\pi\)
\(444\) 2382.53 + 1811.15i 0.254661 + 0.193589i
\(445\) −1615.00 + 9851.05i −0.172041 + 1.04940i
\(446\) −4091.44 4816.81i −0.434384 0.511396i
\(447\) 4145.66 4880.65i 0.438664 0.516435i
\(448\) −127.532 777.914i −0.0134494 0.0820379i
\(449\) 5773.92 10890.8i 0.606878 1.14469i −0.369624 0.929182i \(-0.620513\pi\)
0.976501 0.215511i \(-0.0691417\pi\)
\(450\) 5519.43 + 1214.92i 0.578197 + 0.127271i
\(451\) −12293.5 4142.17i −1.28355 0.432477i
\(452\) 126.333 + 2330.07i 0.0131464 + 0.242472i
\(453\) −2270.22 + 1725.78i −0.235462 + 0.178994i
\(454\) 3069.76 + 5790.19i 0.317337 + 0.598561i
\(455\) −1144.25 4121.23i −0.117898 0.424629i
\(456\) 131.241 + 124.318i 0.0134779 + 0.0127670i
\(457\) −3750.90 9414.05i −0.383938 0.963612i −0.986236 0.165341i \(-0.947127\pi\)
0.602298 0.798271i \(-0.294252\pi\)
\(458\) −2293.23 + 772.680i −0.233964 + 0.0788318i
\(459\) −461.531 + 50.1945i −0.0469334 + 0.00510431i
\(460\) −2220.21 1027.18i −0.225038 0.104114i
\(461\) 5231.32 4955.37i 0.528518 0.500639i −0.376265 0.926512i \(-0.622792\pi\)
0.904783 + 0.425873i \(0.140033\pi\)
\(462\) −2636.53 1586.35i −0.265503 0.159748i
\(463\) 15891.1 + 1728.26i 1.59508 + 0.173475i 0.862086 0.506762i \(-0.169158\pi\)
0.732992 + 0.680238i \(0.238123\pi\)
\(464\) −17752.4 + 3907.61i −1.77616 + 0.390961i
\(465\) −3082.63 + 11102.6i −0.307427 + 1.10725i
\(466\) 2546.55 1532.21i 0.253147 0.152314i
\(467\) −4987.81 + 2307.60i −0.494236 + 0.228658i −0.651142 0.758956i \(-0.725710\pi\)
0.156907 + 0.987613i \(0.449848\pi\)
\(468\) 473.198 1187.64i 0.0467384 0.117305i
\(469\) 175.988 3245.91i 0.0173270 0.319578i
\(470\) 17667.3 + 26057.3i 1.73390 + 2.55731i
\(471\) −11236.5 −1.09926
\(472\) −1205.08 4684.23i −0.117517 0.456799i
\(473\) −350.779 −0.0340990
\(474\) −4845.60 7146.72i −0.469548 0.692531i
\(475\) 53.1438 980.180i 0.00513349 0.0946816i
\(476\) 282.138 708.114i 0.0271676 0.0681856i
\(477\) 2868.07 1326.91i 0.275303 0.127369i
\(478\) 5822.76 3503.44i 0.557169 0.335237i
\(479\) −3662.02 + 13189.4i −0.349315 + 1.25812i 0.555213 + 0.831708i \(0.312637\pi\)
−0.904529 + 0.426412i \(0.859777\pi\)
\(480\) 10110.7 2225.52i 0.961430 0.211627i
\(481\) 5534.89 + 601.955i 0.524676 + 0.0570619i
\(482\) −1316.60 792.171i −0.124418 0.0748597i
\(483\) 536.798 508.482i 0.0505697 0.0479022i
\(484\) −1312.21 607.095i −0.123236 0.0570150i
\(485\) −2663.65 + 289.690i −0.249382 + 0.0271219i
\(486\) −831.722 + 280.240i −0.0776290 + 0.0261562i
\(487\) 356.018 + 893.539i 0.0331268 + 0.0831419i 0.944610 0.328196i \(-0.106441\pi\)
−0.911483 + 0.411338i \(0.865061\pi\)
\(488\) −1272.61 1205.48i −0.118050 0.111823i
\(489\) 1596.29 + 5749.31i 0.147621 + 0.531683i
\(490\) 7773.50 + 14662.4i 0.716675 + 1.35179i
\(491\) −11138.5 + 8467.28i −1.02378 + 0.778254i −0.975370 0.220573i \(-0.929207\pi\)
−0.0484057 + 0.998828i \(0.515414\pi\)
\(492\) −328.916 6066.50i −0.0301396 0.555892i
\(493\) −3753.63 1264.75i −0.342911 0.115540i
\(494\) −560.740 123.428i −0.0510706 0.0112415i
\(495\) 2355.26 4442.48i 0.213860 0.403383i
\(496\) 2836.26 + 17300.4i 0.256758 + 1.56615i
\(497\) −3200.90 + 3768.39i −0.288893 + 0.340112i
\(498\) −7344.77 8646.93i −0.660898 0.778069i
\(499\) −2924.44 + 17838.3i −0.262357 + 1.60031i 0.446387 + 0.894840i \(0.352710\pi\)
−0.708744 + 0.705466i \(0.750738\pi\)
\(500\) −3392.58 2578.97i −0.303442 0.230670i
\(501\) −4150.91 + 6122.13i −0.370157 + 0.545941i
\(502\) −8783.07 + 12954.1i −0.780892 + 1.15173i
\(503\) −5062.12 3848.13i −0.448726 0.341112i 0.356280 0.934379i \(-0.384045\pi\)
−0.805006 + 0.593267i \(0.797838\pi\)
\(504\) −136.550 + 832.920i −0.0120683 + 0.0736135i
\(505\) −5510.69 6487.68i −0.485589 0.571680i
\(506\) −2119.50 + 2495.27i −0.186212 + 0.219226i
\(507\) 681.538 + 4157.20i 0.0597006 + 0.364157i
\(508\) 4664.80 8798.76i 0.407416 0.768468i
\(509\) −4253.16 936.191i −0.370369 0.0815244i 0.0258859 0.999665i \(-0.491759\pi\)
−0.396255 + 0.918141i \(0.629690\pi\)
\(510\) 3052.24 + 1028.42i 0.265011 + 0.0892925i
\(511\) −416.232 7676.94i −0.0360333 0.664595i
\(512\) 7176.02 5455.07i 0.619411 0.470864i
\(513\) 71.4049 + 134.684i 0.00614543 + 0.0115915i
\(514\) 5714.85 + 20583.0i 0.490411 + 1.76630i
\(515\) 3770.00 + 3571.14i 0.322575 + 0.305559i
\(516\) −60.8060 152.611i −0.00518766 0.0130200i
\(517\) 15441.5 5202.86i 1.31357 0.442595i
\(518\) 6238.82 678.512i 0.529185 0.0575523i
\(519\) 4961.51 + 2295.44i 0.419627 + 0.194140i
\(520\) 3771.53 3572.59i 0.318063 0.301285i
\(521\) −16669.7 10029.8i −1.40175 0.843406i −0.404291 0.914631i \(-0.632482\pi\)
−0.997460 + 0.0712250i \(0.977309\pi\)
\(522\) −7444.29 809.615i −0.624191 0.0678849i
\(523\) −4271.20 + 940.162i −0.357106 + 0.0786050i −0.389900 0.920857i \(-0.627491\pi\)
0.0327940 + 0.999462i \(0.489559\pi\)
\(524\) −2840.07 + 10229.0i −0.236773 + 0.852779i
\(525\) 3927.15 2362.89i 0.326466 0.196428i
\(526\) −127.184 + 58.8415i −0.0105427 + 0.00487759i
\(527\) −1414.00 + 3548.87i −0.116878 + 0.293342i
\(528\) 414.178 7639.07i 0.0341379 0.629636i
\(529\) 6386.46 + 9419.33i 0.524900 + 0.774170i
\(530\) −21924.1 −1.79683
\(531\) 298.253 4067.77i 0.0243749 0.332441i
\(532\) −250.292 −0.0203976
\(533\) −6342.66 9354.73i −0.515443 0.760222i
\(534\) −338.735 + 6247.60i −0.0274504 + 0.506292i
\(535\) −4504.65 + 11305.8i −0.364025 + 0.913633i
\(536\) 3583.34 1657.83i 0.288762 0.133596i
\(537\) 7658.36 4607.88i 0.615424 0.370288i
\(538\) 6400.83 23053.7i 0.512935 1.84743i
\(539\) 8388.73 1846.50i 0.670367 0.147559i
\(540\) 2341.04 + 254.604i 0.186560 + 0.0202896i
\(541\) −12291.1 7395.29i −0.976773 0.587705i −0.0647750 0.997900i \(-0.520633\pi\)
−0.911998 + 0.410195i \(0.865461\pi\)
\(542\) −21181.9 + 20064.6i −1.67867 + 1.59012i
\(543\) 3017.98 + 1396.26i 0.238515 + 0.110349i
\(544\) 3412.20 371.099i 0.268928 0.0292477i
\(545\) −18188.4 + 6128.38i −1.42955 + 0.481671i
\(546\) −992.258 2490.38i −0.0777742 0.195199i
\(547\) 5642.52 + 5344.88i 0.441055 + 0.417789i 0.875732 0.482797i \(-0.160379\pi\)
−0.434678 + 0.900586i \(0.643138\pi\)
\(548\) −2135.47 7691.28i −0.166465 0.599553i
\(549\) −692.393 1305.99i −0.0538262 0.101527i
\(550\) −16155.7 + 12281.2i −1.25251 + 0.952135i
\(551\) 70.4143 + 1298.72i 0.00544419 + 0.100412i
\(552\) 851.056 + 286.754i 0.0656220 + 0.0221106i
\(553\) −6838.58 1505.29i −0.525870 0.115753i
\(554\) 1611.20 3039.04i 0.123562 0.233062i
\(555\) 1659.11 + 10120.1i 0.126893 + 0.774010i
\(556\) −3454.55 + 4067.01i −0.263499 + 0.310215i
\(557\) 12392.5 + 14589.6i 0.942707 + 1.10984i 0.993804 + 0.111147i \(0.0354524\pi\)
−0.0510968 + 0.998694i \(0.516272\pi\)
\(558\) −1168.40 + 7126.90i −0.0886419 + 0.540691i
\(559\) −243.296 184.949i −0.0184084 0.0139937i
\(560\) 6726.78 9921.26i 0.507604 0.748660i
\(561\) 935.525 1379.80i 0.0704062 0.103841i
\(562\) −20131.7 15303.7i −1.51104 1.14866i
\(563\) −2159.03 + 13169.5i −0.161621 + 0.985842i 0.774090 + 0.633075i \(0.218208\pi\)
−0.935711 + 0.352767i \(0.885241\pi\)
\(564\) 4940.30 + 5816.17i 0.368837 + 0.434229i
\(565\) −5176.56 + 6094.31i −0.385450 + 0.453787i
\(566\) 3473.32 + 21186.3i 0.257941 + 1.57337i
\(567\) −333.391 + 628.842i −0.0246933 + 0.0465765i
\(568\) −5864.98 1290.98i −0.433255 0.0953667i
\(569\) 10552.7 + 3555.63i 0.777492 + 0.261968i 0.679945 0.733263i \(-0.262004\pi\)
0.0975473 + 0.995231i \(0.468900\pi\)
\(570\) −57.2569 1056.04i −0.00420742 0.0776013i
\(571\) −13137.5 + 9986.90i −0.962853 + 0.731942i −0.963403 0.268058i \(-0.913618\pi\)
0.000549434 1.00000i \(0.499825\pi\)
\(572\) 2150.29 + 4055.88i 0.157182 + 0.296477i
\(573\) 901.143 + 3245.62i 0.0656995 + 0.236628i
\(574\) −9248.93 8761.05i −0.672548 0.637072i
\(575\) −1805.01 4530.23i −0.130911 0.328563i
\(576\) 765.135 257.804i 0.0553483 0.0186490i
\(577\) −5127.53 + 557.653i −0.369952 + 0.0402347i −0.291207 0.956660i \(-0.594057\pi\)
−0.0787448 + 0.996895i \(0.525091\pi\)
\(578\) −15135.5 7002.44i −1.08920 0.503916i
\(579\) 3500.91 3316.24i 0.251283 0.238028i
\(580\) 17215.5 + 10358.2i 1.23247 + 0.741553i
\(581\) −9146.64 994.757i −0.653127 0.0710318i
\(582\) −1640.08 + 361.009i −0.116810 + 0.0257119i
\(583\) −3035.78 + 10933.9i −0.215659 + 0.776732i
\(584\) 8001.40 4814.28i 0.566952 0.341124i
\(585\) 3975.88 1839.44i 0.280996 0.130002i
\(586\) 11626.7 29180.9i 0.819616 2.05708i
\(587\) 952.822 17573.8i 0.0669969 1.23568i −0.750938 0.660373i \(-0.770398\pi\)
0.817934 0.575311i \(-0.195119\pi\)
\(588\) 2257.50 + 3329.56i 0.158329 + 0.233518i
\(589\) 1254.40 0.0877530
\(590\) −13727.6 + 24743.8i −0.957892 + 1.72659i
\(591\) −4827.35 −0.335991
\(592\) 8756.23 + 12914.5i 0.607904 + 0.896591i
\(593\) 1138.61 21000.5i 0.0788486 1.45428i −0.644929 0.764243i \(-0.723113\pi\)
0.723777 0.690034i \(-0.242404\pi\)
\(594\) 1166.50 2927.70i 0.0805761 0.202231i
\(595\) 2370.57 1096.74i 0.163334 0.0755664i
\(596\) −9227.43 + 5551.96i −0.634178 + 0.381572i
\(597\) −2528.33 + 9106.22i −0.173329 + 0.624276i
\(598\) −2785.69 + 613.177i −0.190494 + 0.0419309i
\(599\) −15921.8 1731.60i −1.08606 0.118116i −0.452464 0.891783i \(-0.649455\pi\)
−0.633593 + 0.773667i \(0.718421\pi\)
\(600\) 4769.90 + 2869.95i 0.324551 + 0.195276i
\(601\) 15115.8 14318.4i 1.02593 0.971816i 0.0263216 0.999654i \(-0.491621\pi\)
0.999612 + 0.0278371i \(0.00886198\pi\)
\(602\) −312.642 144.643i −0.0211666 0.00979273i
\(603\) 3309.93 359.976i 0.223533 0.0243107i
\(604\) 4544.61 1531.26i 0.306155 0.103156i
\(605\) −1833.82 4602.55i −0.123232 0.309290i
\(606\) −3873.34 3669.02i −0.259643 0.245947i
\(607\) 376.242 + 1355.10i 0.0251585 + 0.0906127i 0.975063 0.221926i \(-0.0712344\pi\)
−0.949905 + 0.312539i \(0.898821\pi\)
\(608\) −527.912 995.748i −0.0352133 0.0664193i
\(609\) −4834.38 + 3675.00i −0.321673 + 0.244530i
\(610\) 555.204 + 10240.1i 0.0368517 + 0.679690i
\(611\) 13453.3 + 4532.93i 0.890770 + 0.300136i
\(612\) 762.470 + 167.832i 0.0503611 + 0.0110853i
\(613\) −4129.21 + 7788.52i −0.272068 + 0.513174i −0.981467 0.191633i \(-0.938622\pi\)
0.709399 + 0.704807i \(0.248966\pi\)
\(614\) 142.153 + 867.095i 0.00934337 + 0.0569920i
\(615\) 13477.5 15867.0i 0.883686 1.04036i
\(616\) −1962.09 2309.95i −0.128336 0.151089i
\(617\) 4789.13 29212.4i 0.312485 1.90607i −0.0997783 0.995010i \(-0.531813\pi\)
0.412263 0.911065i \(-0.364738\pi\)
\(618\) 2591.08 + 1969.69i 0.168654 + 0.128208i
\(619\) 11789.7 17388.6i 0.765541 1.12909i −0.222506 0.974931i \(-0.571424\pi\)
0.988046 0.154157i \(-0.0492661\pi\)
\(620\) 10874.3 16038.4i 0.704391 1.03890i
\(621\) 602.892 + 458.306i 0.0389585 + 0.0296155i
\(622\) 4731.23 28859.2i 0.304992 1.86037i
\(623\) 3284.84 + 3867.21i 0.211243 + 0.248694i
\(624\) 4314.98 5079.98i 0.276823 0.325901i
\(625\) 1153.48 + 7035.92i 0.0738228 + 0.450299i
\(626\) 7191.90 13565.4i 0.459179 0.866104i
\(627\) −534.592 117.673i −0.0340503 0.00749505i
\(628\) 17907.0 + 6033.55i 1.13784 + 0.383384i
\(629\) 184.073 + 3395.02i 0.0116684 + 0.215212i
\(630\) 3931.04 2988.30i 0.248598 0.188979i
\(631\) 3973.03 + 7493.93i 0.250656 + 0.472787i 0.976628 0.214937i \(-0.0689547\pi\)
−0.725972 + 0.687724i \(0.758610\pi\)
\(632\) −2275.32 8194.95i −0.143208 0.515787i
\(633\) −3013.04 2854.10i −0.189190 0.179211i
\(634\) −272.707 684.443i −0.0170829 0.0428749i
\(635\) 32339.2 10896.4i 2.02101 0.680958i
\(636\) −5283.18 + 574.581i −0.329390 + 0.0358233i
\(637\) 6791.88 + 3142.26i 0.422456 + 0.195449i
\(638\) 19521.1 18491.4i 1.21136 1.14746i
\(639\) −4339.26 2610.85i −0.268636 0.161633i
\(640\) 21876.7 + 2379.24i 1.35118 + 0.146949i
\(641\) 1889.14 415.830i 0.116406 0.0256230i −0.156385 0.987696i \(-0.549984\pi\)
0.272791 + 0.962073i \(0.412053\pi\)
\(642\) −2040.68 + 7349.88i −0.125451 + 0.451833i
\(643\) −1146.51 + 689.829i −0.0703169 + 0.0423083i −0.550278 0.834981i \(-0.685478\pi\)
0.479961 + 0.877290i \(0.340651\pi\)
\(644\) −1128.50 + 522.100i −0.0690515 + 0.0319466i
\(645\) 208.362 522.948i 0.0127197 0.0319241i
\(646\) 18.9829 350.119i 0.00115615 0.0213239i
\(647\) 5675.70 + 8371.03i 0.344876 + 0.508654i 0.960084 0.279710i \(-0.0902385\pi\)
−0.615208 + 0.788365i \(0.710928\pi\)
\(648\) −864.492 −0.0524081
\(649\) 10439.3 + 10272.4i 0.631398 + 0.621304i
\(650\) −17680.7 −1.06691
\(651\) 3286.76 + 4847.61i 0.197878 + 0.291848i
\(652\) 543.242 10019.5i 0.0326304 0.601832i
\(653\) 3352.36 8413.79i 0.200900 0.504222i −0.793663 0.608358i \(-0.791828\pi\)
0.994563 + 0.104136i \(0.0332077\pi\)
\(654\) −10917.8 + 5051.12i −0.652784 + 0.302010i
\(655\) −31170.2 + 18754.5i −1.85942 + 1.11878i
\(656\) 8473.86 30520.1i 0.504342 1.81648i
\(657\) 7690.42 1692.79i 0.456669 0.100521i
\(658\) 15908.1 + 1730.11i 0.942496 + 0.102503i
\(659\) −23568.2 14180.5i −1.39315 0.838230i −0.396344 0.918102i \(-0.629721\pi\)
−0.996805 + 0.0798717i \(0.974549\pi\)
\(660\) −6138.89 + 5815.06i −0.362054 + 0.342956i
\(661\) 8382.71 + 3878.25i 0.493267 + 0.228210i 0.650721 0.759317i \(-0.274467\pi\)
−0.157454 + 0.987526i \(0.550329\pi\)
\(662\) −129.663 + 14.1017i −0.00761255 + 0.000827914i
\(663\) 1376.37 463.752i 0.0806239 0.0271654i
\(664\) −4136.29 10381.3i −0.241746 0.606736i
\(665\) −622.663 589.817i −0.0363095 0.0343942i
\(666\) 1719.59 + 6193.39i 0.100049 + 0.360344i
\(667\) 3026.55 + 5708.68i 0.175695 + 0.331396i
\(668\) 9902.42 7527.63i 0.573557 0.436007i
\(669\) −284.198 5241.72i −0.0164241 0.302925i
\(670\) −21889.5 7375.44i −1.26219 0.425281i
\(671\) 5183.79 + 1141.04i 0.298238 + 0.0656472i
\(672\) 2464.83 4649.17i 0.141493 0.266883i
\(673\) 3021.23 + 18428.7i 0.173046 + 1.05553i 0.920363 + 0.391066i \(0.127894\pi\)
−0.747316 + 0.664468i \(0.768658\pi\)
\(674\) 3166.84 3728.29i 0.180982 0.213069i
\(675\) 3039.00 + 3577.79i 0.173291 + 0.204014i
\(676\) 1146.13 6991.06i 0.0652098 0.397762i
\(677\) 24719.0 + 18790.9i 1.40329 + 1.06675i 0.987556 + 0.157268i \(0.0502686\pi\)
0.415735 + 0.909486i \(0.363524\pi\)
\(678\) −2812.51 + 4148.14i −0.159312 + 0.234968i
\(679\) −764.271 + 1127.22i −0.0431959 + 0.0637092i
\(680\) 2525.60 + 1919.91i 0.142430 + 0.108273i
\(681\) −880.661 + 5371.80i −0.0495551 + 0.302273i
\(682\) −16788.7 19765.2i −0.942628 1.10975i
\(683\) −4244.77 + 4997.33i −0.237806 + 0.279967i −0.868100 0.496390i \(-0.834659\pi\)
0.630293 + 0.776357i \(0.282935\pi\)
\(684\) −41.4740 252.980i −0.00231842 0.0141417i
\(685\) 12812.1 24166.2i 0.714635 1.34795i
\(686\) 18869.4 + 4153.47i 1.05020 + 0.231166i
\(687\) −1904.79 641.798i −0.105782 0.0356421i
\(688\) −46.3690 855.225i −0.00256948 0.0473912i
\(689\) −7870.47 + 5982.98i −0.435183 + 0.330818i
\(690\) −2461.02 4641.98i −0.135782 0.256112i
\(691\) −731.524 2634.71i −0.0402728 0.145049i 0.940680 0.339294i \(-0.110188\pi\)
−0.980953 + 0.194245i \(0.937774\pi\)
\(692\) −6674.33 6322.26i −0.366647 0.347307i
\(693\) −945.989 2374.25i −0.0518545 0.130145i
\(694\) 23344.8 7865.78i 1.27688 0.430232i
\(695\) −18178.0 + 1976.98i −0.992131 + 0.107901i
\(696\) −6694.09 3097.01i −0.364567 0.168667i
\(697\) 5010.90 4746.57i 0.272312 0.257947i
\(698\) 8789.81 + 5288.65i 0.476647 + 0.286789i
\(699\) 2454.08 + 266.897i 0.132792 + 0.0144420i
\(700\) −7527.27 + 1656.88i −0.406434 + 0.0894629i
\(701\) −7928.54 + 28556.0i −0.427185 + 1.53858i 0.366596 + 0.930380i \(0.380523\pi\)
−0.793782 + 0.608203i \(0.791891\pi\)
\(702\) 2352.71 1415.58i 0.126492 0.0761075i
\(703\) 1013.24 468.774i 0.0543599 0.0251496i
\(704\) −1073.11 + 2693.31i −0.0574496 + 0.144188i
\(705\) −1415.70 + 26111.0i −0.0756288 + 1.39489i
\(706\) −19677.7 29022.4i −1.04898 1.54713i
\(707\) −4326.65 −0.230156
\(708\) −2659.55 + 6322.43i −0.141175 + 0.335610i
\(709\) 3186.27 0.168777 0.0843886 0.996433i \(-0.473106\pi\)
0.0843886 + 0.996433i \(0.473106\pi\)
\(710\) 19716.5 + 29079.7i 1.04218 + 1.53710i
\(711\) 388.283 7161.45i 0.0204806 0.377743i
\(712\) −2281.11 + 5725.16i −0.120068 + 0.301347i
\(713\) 5655.74 2616.62i 0.297068 0.137438i
\(714\) 1402.77 844.019i 0.0735258 0.0442390i
\(715\) −4208.37 + 15157.2i −0.220118 + 0.792792i
\(716\) −14679.0 + 3231.08i −0.766171 + 0.168647i
\(717\) 5611.33 + 610.268i 0.292272 + 0.0317865i
\(718\) −31936.0 19215.3i −1.65995 0.998758i
\(719\) −2314.15 + 2192.08i −0.120032 + 0.113701i −0.745362 0.666660i \(-0.767723\pi\)
0.625330 + 0.780361i \(0.284965\pi\)
\(720\) 11142.5 + 5155.05i 0.576743 + 0.266830i
\(721\) 2624.00 285.377i 0.135538 0.0147406i
\(722\) 23367.4 7873.38i 1.20449 0.405841i
\(723\) −472.397 1185.63i −0.0242996 0.0609875i
\(724\) −4059.84 3845.69i −0.208402 0.197409i
\(725\) 10714.8 + 38591.3i 0.548881 + 1.97689i
\(726\) −1454.54 2743.56i −0.0743571 0.140252i
\(727\) 24866.9 18903.3i 1.26859 0.964355i 0.268588 0.963255i \(-0.413443\pi\)
0.999999 0.00110029i \(-0.000350233\pi\)
\(728\) −142.956 2636.67i −0.00727789 0.134233i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) −53353.7 11744.0i −2.70508 0.595434i
\(731\) 87.4204 164.892i 0.00442320 0.00834304i
\(732\) 402.161 + 2453.08i 0.0203064 + 0.123864i
\(733\) 15353.8 18075.8i 0.773675 0.910841i −0.224295 0.974521i \(-0.572008\pi\)
0.997970 + 0.0636805i \(0.0202839\pi\)
\(734\) −15566.4 18326.2i −0.782790 0.921571i
\(735\) −2230.08 + 13602.9i −0.111915 + 0.682654i
\(736\) −4457.31 3388.36i −0.223232 0.169696i
\(737\) −6709.23 + 9895.37i −0.335329 + 0.494574i
\(738\) 7322.57 10800.0i 0.365241 0.538690i
\(739\) −11467.8 8717.60i −0.570839 0.433941i 0.279523 0.960139i \(-0.409824\pi\)
−0.850362 + 0.526198i \(0.823617\pi\)
\(740\) 2790.09 17018.8i 0.138602 0.845436i
\(741\) −308.743 363.481i −0.0153063 0.0180200i
\(742\) −7214.30 + 8493.33i −0.356934 + 0.420215i
\(743\) −1163.35 7096.10i −0.0574415 0.350378i −0.999872 0.0159767i \(-0.994914\pi\)
0.942431 0.334401i \(-0.108534\pi\)
\(744\) −3332.09 + 6284.99i −0.164194 + 0.309703i
\(745\) −36038.7 7932.73i −1.77229 0.390111i
\(746\) 29866.2 + 10063.1i 1.46579 + 0.493882i
\(747\) −510.180 9409.71i −0.0249886 0.460888i
\(748\) −2231.79 + 1696.56i −0.109094 + 0.0829312i
\(749\) 2897.55 + 5465.36i 0.141354 + 0.266622i
\(750\) −2448.59 8819.03i −0.119213 0.429367i
\(751\) −14483.1 13719.1i −0.703724 0.666603i 0.249670 0.968331i \(-0.419678\pi\)
−0.953394 + 0.301728i \(0.902436\pi\)
\(752\) 14726.2 + 36959.9i 0.714106 + 1.79227i
\(753\) −12319.3 + 4150.87i −0.596204 + 0.200884i
\(754\) 23289.2 2532.85i 1.12486 0.122335i
\(755\) 14914.2 + 6900.06i 0.718920 + 0.332608i
\(756\) 868.971 823.133i 0.0418045 0.0395993i
\(757\) 10534.2 + 6338.22i 0.505775 + 0.304315i 0.745477 0.666532i \(-0.232222\pi\)
−0.239701 + 0.970847i \(0.577050\pi\)
\(758\) 17574.7 + 1911.36i 0.842140 + 0.0915882i
\(759\) −2655.80 + 584.585i −0.127008 + 0.0279566i
\(760\) 278.689 1003.75i 0.0133015 0.0479076i
\(761\) 22500.5 13538.1i 1.07181 0.644884i 0.133626 0.991032i \(-0.457338\pi\)
0.938180 + 0.346148i \(0.112510\pi\)
\(762\) 19412.1 8980.98i 0.922867 0.426964i
\(763\) −3610.92 + 9062.72i −0.171329 + 0.430003i
\(764\) 306.673 5656.25i 0.0145223 0.267848i
\(765\) 1501.33 + 2214.29i 0.0709551 + 0.104651i
\(766\) −52247.5 −2.46446
\(767\) 1824.43 + 12628.9i 0.0858881 + 0.594529i
\(768\) 15945.6 0.749202
\(769\) 8394.99 + 12381.7i 0.393668 + 0.580618i 0.971941 0.235226i \(-0.0755832\pi\)
−0.578272 + 0.815844i \(0.696273\pi\)
\(770\) −959.946 + 17705.2i −0.0449274 + 0.828636i
\(771\) −6567.47 +