Properties

Label 192.2.s.a.11.3
Level $192$
Weight $2$
Character 192.11
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 11.3
Character \(\chi\) \(=\) 192.11
Dual form 192.2.s.a.35.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35305 + 0.411422i) q^{2} +(-0.145818 - 1.72590i) q^{3} +(1.66146 - 1.11334i) q^{4} +(0.731423 - 0.488721i) q^{5} +(0.907373 + 2.27523i) q^{6} +(0.683144 - 1.64925i) q^{7} +(-1.78998 + 2.18997i) q^{8} +(-2.95747 + 0.503337i) q^{9} +O(q^{10})\) \(q+(-1.35305 + 0.411422i) q^{2} +(-0.145818 - 1.72590i) q^{3} +(1.66146 - 1.11334i) q^{4} +(0.731423 - 0.488721i) q^{5} +(0.907373 + 2.27523i) q^{6} +(0.683144 - 1.64925i) q^{7} +(-1.78998 + 2.18997i) q^{8} +(-2.95747 + 0.503337i) q^{9} +(-0.788578 + 0.962186i) q^{10} +(0.385603 - 1.93856i) q^{11} +(-2.16380 - 2.70518i) q^{12} +(-0.659632 + 0.987209i) q^{13} +(-0.245785 + 2.51258i) q^{14} +(-0.950140 - 1.19110i) q^{15} +(1.52093 - 3.69957i) q^{16} +(-2.96995 - 2.96995i) q^{17} +(3.79451 - 1.89781i) q^{18} +(2.88241 - 4.31384i) q^{19} +(0.671118 - 1.62632i) q^{20} +(-2.94607 - 0.938547i) q^{21} +(0.275827 + 2.78160i) q^{22} +(-1.53714 - 3.71099i) q^{23} +(4.04068 + 2.77000i) q^{24} +(-1.61729 + 3.90447i) q^{25} +(0.486353 - 1.60713i) q^{26} +(1.29996 + 5.03091i) q^{27} +(-0.701171 - 3.50075i) q^{28} +(8.74967 - 1.74042i) q^{29} +(1.77563 + 1.22070i) q^{30} +2.66183 q^{31} +(-0.535800 + 5.63142i) q^{32} +(-3.40199 - 0.382836i) q^{33} +(5.24038 + 2.79658i) q^{34} +(-0.306359 - 1.54017i) q^{35} +(-4.35335 + 4.12896i) q^{36} +(-2.69661 + 1.80182i) q^{37} +(-2.12523 + 7.02271i) q^{38} +(1.80001 + 0.994507i) q^{39} +(-0.238950 + 2.47660i) q^{40} +(-9.64627 + 3.99562i) q^{41} +(4.37230 + 0.0578208i) q^{42} +(-0.964098 + 4.84685i) q^{43} +(-1.51762 - 3.65015i) q^{44} +(-1.91717 + 1.81353i) q^{45} +(3.60660 + 4.38872i) q^{46} +(2.39391 - 2.39391i) q^{47} +(-6.60687 - 2.08550i) q^{48} +(2.69639 + 2.69639i) q^{49} +(0.581876 - 5.94832i) q^{50} +(-4.69277 + 5.55892i) q^{51} +(0.00314928 + 2.37461i) q^{52} +(13.1496 + 2.61561i) q^{53} +(-3.82874 - 6.27222i) q^{54} +(-0.665376 - 1.60636i) q^{55} +(2.38900 + 4.44820i) q^{56} +(-7.86557 - 4.34573i) q^{57} +(-11.1227 + 5.95467i) q^{58} +(5.24528 + 7.85011i) q^{59} +(-2.90473 - 0.921136i) q^{60} +(4.01516 - 0.798665i) q^{61} +(-3.60158 + 1.09514i) q^{62} +(-1.19025 + 5.22148i) q^{63} +(-1.59193 - 7.84001i) q^{64} +1.04444i q^{65} +(4.76055 - 0.881659i) q^{66} +(-1.21588 - 6.11263i) q^{67} +(-8.24105 - 1.62789i) q^{68} +(-6.18065 + 3.19408i) q^{69} +(1.04818 + 1.95788i) q^{70} +(8.97139 + 3.71607i) q^{71} +(4.19153 - 7.37774i) q^{72} +(-3.96854 + 1.64382i) q^{73} +(2.90733 - 3.54738i) q^{74} +(6.97457 + 2.22193i) q^{75} +(-0.0137615 - 10.3764i) q^{76} +(-2.93375 - 1.96027i) q^{77} +(-2.84466 - 0.605049i) q^{78} +(3.91615 - 3.91615i) q^{79} +(-0.695616 - 3.44926i) q^{80} +(8.49330 - 2.97721i) q^{81} +(11.4080 - 9.37494i) q^{82} +(7.85219 + 5.24667i) q^{83} +(-5.93971 + 1.72063i) q^{84} +(-3.62377 - 0.720813i) q^{85} +(-0.689631 - 6.95466i) q^{86} +(-4.27966 - 14.8473i) q^{87} +(3.55516 + 4.31444i) q^{88} +(7.76699 + 3.21719i) q^{89} +(1.84790 - 3.24256i) q^{90} +(1.17754 + 1.76231i) q^{91} +(-6.68551 - 4.45430i) q^{92} +(-0.388144 - 4.59406i) q^{93} +(-2.25416 + 4.22397i) q^{94} -4.56394i q^{95} +(9.79741 + 0.103573i) q^{96} -2.84961i q^{97} +(-4.75769 - 2.53899i) q^{98} +(-0.164664 + 5.92732i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35305 + 0.411422i −0.956748 + 0.290919i
\(3\) −0.145818 1.72590i −0.0841883 0.996450i
\(4\) 1.66146 1.11334i 0.830732 0.556672i
\(5\) 0.731423 0.488721i 0.327102 0.218563i −0.381165 0.924507i \(-0.624477\pi\)
0.708267 + 0.705944i \(0.249477\pi\)
\(6\) 0.907373 + 2.27523i 0.370433 + 0.928859i
\(7\) 0.683144 1.64925i 0.258204 0.623360i −0.740616 0.671929i \(-0.765466\pi\)
0.998820 + 0.0485690i \(0.0154661\pi\)
\(8\) −1.78998 + 2.18997i −0.632854 + 0.774271i
\(9\) −2.95747 + 0.503337i −0.985825 + 0.167779i
\(10\) −0.788578 + 0.962186i −0.249370 + 0.304270i
\(11\) 0.385603 1.93856i 0.116264 0.584497i −0.878100 0.478477i \(-0.841189\pi\)
0.994364 0.106021i \(-0.0338109\pi\)
\(12\) −2.16380 2.70518i −0.624634 0.780918i
\(13\) −0.659632 + 0.987209i −0.182949 + 0.273803i −0.911596 0.411087i \(-0.865149\pi\)
0.728647 + 0.684889i \(0.240149\pi\)
\(14\) −0.245785 + 2.51258i −0.0656888 + 0.671515i
\(15\) −0.950140 1.19110i −0.245325 0.307541i
\(16\) 1.52093 3.69957i 0.380232 0.924891i
\(17\) −2.96995 2.96995i −0.720319 0.720319i 0.248351 0.968670i \(-0.420111\pi\)
−0.968670 + 0.248351i \(0.920111\pi\)
\(18\) 3.79451 1.89781i 0.894375 0.447317i
\(19\) 2.88241 4.31384i 0.661271 0.989662i −0.337559 0.941304i \(-0.609601\pi\)
0.998830 0.0483579i \(-0.0153988\pi\)
\(20\) 0.671118 1.62632i 0.150067 0.363656i
\(21\) −2.94607 0.938547i −0.642885 0.204808i
\(22\) 0.275827 + 2.78160i 0.0588064 + 0.593040i
\(23\) −1.53714 3.71099i −0.320516 0.773794i −0.999224 0.0393859i \(-0.987460\pi\)
0.678708 0.734408i \(-0.262540\pi\)
\(24\) 4.04068 + 2.77000i 0.824801 + 0.565423i
\(25\) −1.61729 + 3.90447i −0.323457 + 0.780895i
\(26\) 0.486353 1.60713i 0.0953816 0.315183i
\(27\) 1.29996 + 5.03091i 0.250178 + 0.968200i
\(28\) −0.701171 3.50075i −0.132509 0.661580i
\(29\) 8.74967 1.74042i 1.62477 0.323188i 0.703081 0.711109i \(-0.251807\pi\)
0.921692 + 0.387922i \(0.126807\pi\)
\(30\) 1.77563 + 1.22070i 0.324184 + 0.222869i
\(31\) 2.66183 0.478079 0.239039 0.971010i \(-0.423167\pi\)
0.239039 + 0.971010i \(0.423167\pi\)
\(32\) −0.535800 + 5.63142i −0.0947170 + 0.995504i
\(33\) −3.40199 0.382836i −0.592210 0.0666432i
\(34\) 5.24038 + 2.79658i 0.898718 + 0.479609i
\(35\) −0.306359 1.54017i −0.0517841 0.260336i
\(36\) −4.35335 + 4.12896i −0.725558 + 0.688161i
\(37\) −2.69661 + 1.80182i −0.443320 + 0.296217i −0.757124 0.653271i \(-0.773396\pi\)
0.313805 + 0.949488i \(0.398396\pi\)
\(38\) −2.12523 + 7.02271i −0.344758 + 1.13923i
\(39\) 1.80001 + 0.994507i 0.288233 + 0.159249i
\(40\) −0.238950 + 2.47660i −0.0377813 + 0.391584i
\(41\) −9.64627 + 3.99562i −1.50649 + 0.624011i −0.974831 0.222945i \(-0.928433\pi\)
−0.531664 + 0.846955i \(0.678433\pi\)
\(42\) 4.37230 + 0.0578208i 0.674661 + 0.00892195i
\(43\) −0.964098 + 4.84685i −0.147024 + 0.739138i 0.834981 + 0.550279i \(0.185479\pi\)
−0.982004 + 0.188858i \(0.939521\pi\)
\(44\) −1.51762 3.65015i −0.228790 0.550282i
\(45\) −1.91717 + 1.81353i −0.285795 + 0.270345i
\(46\) 3.60660 + 4.38872i 0.531764 + 0.647081i
\(47\) 2.39391 2.39391i 0.349187 0.349187i −0.510620 0.859807i \(-0.670584\pi\)
0.859807 + 0.510620i \(0.170584\pi\)
\(48\) −6.60687 2.08550i −0.953619 0.301017i
\(49\) 2.69639 + 2.69639i 0.385199 + 0.385199i
\(50\) 0.581876 5.94832i 0.0822896 0.841219i
\(51\) −4.69277 + 5.55892i −0.657119 + 0.778404i
\(52\) 0.00314928 + 2.37461i 0.000436726 + 0.329299i
\(53\) 13.1496 + 2.61561i 1.80623 + 0.359282i 0.979205 0.202876i \(-0.0650287\pi\)
0.827030 + 0.562158i \(0.190029\pi\)
\(54\) −3.82874 6.27222i −0.521025 0.853541i
\(55\) −0.665376 1.60636i −0.0897192 0.216601i
\(56\) 2.38900 + 4.44820i 0.319244 + 0.594416i
\(57\) −7.86557 4.34573i −1.04182 0.575606i
\(58\) −11.1227 + 5.95467i −1.46048 + 0.781887i
\(59\) 5.24528 + 7.85011i 0.682877 + 1.02200i 0.997352 + 0.0727319i \(0.0231717\pi\)
−0.314474 + 0.949266i \(0.601828\pi\)
\(60\) −2.90473 0.921136i −0.374999 0.118918i
\(61\) 4.01516 0.798665i 0.514088 0.102259i 0.0687730 0.997632i \(-0.478092\pi\)
0.445315 + 0.895374i \(0.353092\pi\)
\(62\) −3.60158 + 1.09514i −0.457401 + 0.139082i
\(63\) −1.19025 + 5.22148i −0.149957 + 0.657845i
\(64\) −1.59193 7.84001i −0.198991 0.980001i
\(65\) 1.04444i 0.129547i
\(66\) 4.76055 0.881659i 0.585984 0.108525i
\(67\) −1.21588 6.11263i −0.148543 0.746777i −0.981201 0.192989i \(-0.938182\pi\)
0.832658 0.553788i \(-0.186818\pi\)
\(68\) −8.24105 1.62789i −0.999374 0.197410i
\(69\) −6.18065 + 3.19408i −0.744063 + 0.384523i
\(70\) 1.04818 + 1.95788i 0.125281 + 0.234011i
\(71\) 8.97139 + 3.71607i 1.06471 + 0.441017i 0.845120 0.534576i \(-0.179529\pi\)
0.219588 + 0.975593i \(0.429529\pi\)
\(72\) 4.19153 7.37774i 0.493977 0.869475i
\(73\) −3.96854 + 1.64382i −0.464482 + 0.192395i −0.602636 0.798016i \(-0.705883\pi\)
0.138154 + 0.990411i \(0.455883\pi\)
\(74\) 2.90733 3.54738i 0.337970 0.412375i
\(75\) 6.97457 + 2.22193i 0.805354 + 0.256567i
\(76\) −0.0137615 10.3764i −0.00157855 1.19026i
\(77\) −2.93375 1.96027i −0.334332 0.223394i
\(78\) −2.84466 0.605049i −0.322094 0.0685083i
\(79\) 3.91615 3.91615i 0.440601 0.440601i −0.451613 0.892214i \(-0.649151\pi\)
0.892214 + 0.451613i \(0.149151\pi\)
\(80\) −0.695616 3.44926i −0.0777722 0.385639i
\(81\) 8.49330 2.97721i 0.943701 0.330801i
\(82\) 11.4080 9.37494i 1.25980 1.03529i
\(83\) 7.85219 + 5.24667i 0.861890 + 0.575897i 0.906070 0.423127i \(-0.139068\pi\)
−0.0441802 + 0.999024i \(0.514068\pi\)
\(84\) −5.93971 + 1.72063i −0.648076 + 0.187736i
\(85\) −3.62377 0.720813i −0.393053 0.0781831i
\(86\) −0.689631 6.95466i −0.0743648 0.749940i
\(87\) −4.27966 14.8473i −0.458827 1.59180i
\(88\) 3.55516 + 4.31444i 0.378981 + 0.459921i
\(89\) 7.76699 + 3.21719i 0.823299 + 0.341022i 0.754246 0.656591i \(-0.228002\pi\)
0.0690524 + 0.997613i \(0.478002\pi\)
\(90\) 1.84790 3.24256i 0.194785 0.341796i
\(91\) 1.17754 + 1.76231i 0.123439 + 0.184740i
\(92\) −6.68551 4.45430i −0.697013 0.464393i
\(93\) −0.388144 4.59406i −0.0402486 0.476382i
\(94\) −2.25416 + 4.22397i −0.232499 + 0.435669i
\(95\) 4.56394i 0.468250i
\(96\) 9.79741 + 0.103573i 0.999944 + 0.0105709i
\(97\) 2.84961i 0.289335i −0.989480 0.144667i \(-0.953789\pi\)
0.989480 0.144667i \(-0.0462112\pi\)
\(98\) −4.75769 2.53899i −0.480600 0.256476i
\(99\) −0.164664 + 5.92732i −0.0165494 + 0.595718i
\(100\) 1.65996 + 8.28774i 0.165996 + 0.828774i
\(101\) −3.25049 4.86470i −0.323436 0.484056i 0.633747 0.773540i \(-0.281516\pi\)
−0.957183 + 0.289485i \(0.906516\pi\)
\(102\) 4.06247 9.45218i 0.402245 0.935905i
\(103\) −14.4703 5.99378i −1.42580 0.590585i −0.469488 0.882939i \(-0.655562\pi\)
−0.956310 + 0.292354i \(0.905562\pi\)
\(104\) −0.981228 3.21166i −0.0962173 0.314929i
\(105\) −2.61351 + 0.753330i −0.255052 + 0.0735175i
\(106\) −18.8681 + 1.87098i −1.83263 + 0.181726i
\(107\) −10.5840 2.10528i −1.02319 0.203525i −0.345149 0.938548i \(-0.612171\pi\)
−0.678042 + 0.735023i \(0.737171\pi\)
\(108\) 7.76099 + 6.91137i 0.746801 + 0.665047i
\(109\) 13.0385 + 8.71203i 1.24886 + 0.834461i 0.991277 0.131795i \(-0.0420742\pi\)
0.257582 + 0.966256i \(0.417074\pi\)
\(110\) 1.56117 + 1.89973i 0.148852 + 0.181132i
\(111\) 3.50297 + 4.39134i 0.332487 + 0.416808i
\(112\) −5.06252 5.03573i −0.478363 0.475832i
\(113\) −3.65177 + 3.65177i −0.343529 + 0.343529i −0.857692 0.514163i \(-0.828103\pi\)
0.514163 + 0.857692i \(0.328103\pi\)
\(114\) 12.4304 + 2.64390i 1.16421 + 0.247624i
\(115\) −2.93794 1.96307i −0.273964 0.183057i
\(116\) 12.5996 12.6330i 1.16984 1.17295i
\(117\) 1.45395 3.25166i 0.134417 0.300616i
\(118\) −10.3268 8.46354i −0.950660 0.779132i
\(119\) −6.92711 + 2.86930i −0.635007 + 0.263029i
\(120\) 4.30920 + 0.0512705i 0.393375 + 0.00468034i
\(121\) 6.55336 + 2.71449i 0.595760 + 0.246772i
\(122\) −5.10410 + 2.73255i −0.462104 + 0.247394i
\(123\) 8.30265 + 16.0659i 0.748625 + 1.44861i
\(124\) 4.42254 2.96354i 0.397155 0.266133i
\(125\) 1.58336 + 7.96009i 0.141620 + 0.711972i
\(126\) −0.537769 7.55459i −0.0479083 0.673017i
\(127\) 5.00869i 0.444449i −0.974995 0.222225i \(-0.928668\pi\)
0.974995 0.222225i \(-0.0713318\pi\)
\(128\) 5.37950 + 9.95294i 0.475485 + 0.879724i
\(129\) 8.50577 + 0.957179i 0.748891 + 0.0842749i
\(130\) −0.429707 1.41318i −0.0376878 0.123944i
\(131\) −17.0232 + 3.38612i −1.48732 + 0.295847i −0.870857 0.491536i \(-0.836436\pi\)
−0.616464 + 0.787383i \(0.711436\pi\)
\(132\) −6.07851 + 3.15152i −0.529067 + 0.274305i
\(133\) −5.14552 7.70081i −0.446173 0.667745i
\(134\) 4.16001 + 7.77043i 0.359370 + 0.671263i
\(135\) 3.40954 + 3.04441i 0.293446 + 0.262021i
\(136\) 11.8203 1.18794i 1.01358 0.101865i
\(137\) −5.61514 13.5561i −0.479733 1.15818i −0.959734 0.280911i \(-0.909364\pi\)
0.480001 0.877268i \(-0.340636\pi\)
\(138\) 7.04859 6.86460i 0.600016 0.584353i
\(139\) −14.3788 2.86012i −1.21959 0.242592i −0.456998 0.889468i \(-0.651075\pi\)
−0.762595 + 0.646876i \(0.776075\pi\)
\(140\) −2.22374 2.21785i −0.187941 0.187443i
\(141\) −4.48072 3.78257i −0.377345 0.318550i
\(142\) −13.6676 1.33699i −1.14696 0.112198i
\(143\) 1.65941 + 1.65941i 0.138767 + 0.138767i
\(144\) −2.63597 + 11.7069i −0.219664 + 0.975575i
\(145\) 5.54913 5.54913i 0.460830 0.460830i
\(146\) 4.69331 3.85691i 0.388421 0.319200i
\(147\) 4.26052 5.04689i 0.351402 0.416260i
\(148\) −2.47428 + 5.99591i −0.203384 + 0.492861i
\(149\) −0.129066 + 0.648857i −0.0105735 + 0.0531564i −0.985712 0.168440i \(-0.946127\pi\)
0.975138 + 0.221597i \(0.0711269\pi\)
\(150\) −10.3511 0.136886i −0.845160 0.0111767i
\(151\) −22.6443 + 9.37957i −1.84277 + 0.763299i −0.893270 + 0.449520i \(0.851595\pi\)
−0.949496 + 0.313779i \(0.898405\pi\)
\(152\) 4.28770 + 14.0341i 0.347778 + 1.13832i
\(153\) 10.2784 + 7.28867i 0.830963 + 0.589254i
\(154\) 4.77600 + 1.44533i 0.384861 + 0.116468i
\(155\) 1.94692 1.30089i 0.156381 0.104490i
\(156\) 4.09789 0.351697i 0.328093 0.0281583i
\(157\) 4.05454 + 20.3835i 0.323587 + 1.62678i 0.709821 + 0.704382i \(0.248776\pi\)
−0.386234 + 0.922401i \(0.626224\pi\)
\(158\) −3.68754 + 6.90991i −0.293365 + 0.549723i
\(159\) 2.59684 23.0763i 0.205943 1.83007i
\(160\) 2.36030 + 4.38081i 0.186598 + 0.346333i
\(161\) −7.17045 −0.565111
\(162\) −10.2669 + 7.52263i −0.806647 + 0.591034i
\(163\) 5.41447 1.07701i 0.424094 0.0843576i 0.0215710 0.999767i \(-0.493133\pi\)
0.402523 + 0.915410i \(0.368133\pi\)
\(164\) −11.5784 + 17.3782i −0.904124 + 1.35701i
\(165\) −2.67539 + 1.38261i −0.208279 + 0.107636i
\(166\) −12.7830 3.86842i −0.992151 0.300247i
\(167\) −2.33305 + 5.63248i −0.180537 + 0.435854i −0.988077 0.153958i \(-0.950798\pi\)
0.807541 + 0.589812i \(0.200798\pi\)
\(168\) 7.32880 4.77181i 0.565429 0.368153i
\(169\) 4.43542 + 10.7080i 0.341186 + 0.823696i
\(170\) 5.19968 0.515606i 0.398798 0.0395452i
\(171\) −6.35335 + 14.2089i −0.485853 + 1.08658i
\(172\) 3.79440 + 9.12624i 0.289320 + 0.695869i
\(173\) 6.81742 10.2030i 0.518318 0.775718i −0.476305 0.879280i \(-0.658024\pi\)
0.994623 + 0.103562i \(0.0330240\pi\)
\(174\) 11.8991 + 18.3283i 0.902066 + 1.38947i
\(175\) 5.33463 + 5.33463i 0.403260 + 0.403260i
\(176\) −6.58535 4.37497i −0.496389 0.329776i
\(177\) 12.7837 10.1975i 0.960879 0.766493i
\(178\) −11.8327 1.15750i −0.886899 0.0867581i
\(179\) 8.68204 12.9936i 0.648926 0.971186i −0.350475 0.936572i \(-0.613980\pi\)
0.999401 0.0346142i \(-0.0110202\pi\)
\(180\) −1.16623 + 5.14759i −0.0869255 + 0.383679i
\(181\) 4.53048 22.7763i 0.336748 1.69295i −0.327027 0.945015i \(-0.606047\pi\)
0.663775 0.747932i \(-0.268953\pi\)
\(182\) −2.31831 1.90002i −0.171845 0.140839i
\(183\) −1.96390 6.81331i −0.145176 0.503654i
\(184\) 10.8784 + 3.27631i 0.801966 + 0.241533i
\(185\) −1.09178 + 2.63578i −0.0802689 + 0.193786i
\(186\) 2.41527 + 6.05628i 0.177096 + 0.444068i
\(187\) −6.90265 + 4.61220i −0.504772 + 0.337278i
\(188\) 1.31215 6.64264i 0.0956981 0.484464i
\(189\) 9.18532 + 1.29287i 0.668134 + 0.0940422i
\(190\) 1.87770 + 6.17522i 0.136223 + 0.447997i
\(191\) 6.04402 0.437330 0.218665 0.975800i \(-0.429830\pi\)
0.218665 + 0.975800i \(0.429830\pi\)
\(192\) −13.2990 + 3.89073i −0.959769 + 0.280789i
\(193\) 1.88270 0.135520 0.0677599 0.997702i \(-0.478415\pi\)
0.0677599 + 0.997702i \(0.478415\pi\)
\(194\) 1.17239 + 3.85566i 0.0841730 + 0.276820i
\(195\) 1.80261 0.152299i 0.129087 0.0109064i
\(196\) 7.48197 + 1.47794i 0.534426 + 0.105567i
\(197\) −4.33698 + 2.89788i −0.308997 + 0.206465i −0.700393 0.713757i \(-0.746992\pi\)
0.391396 + 0.920222i \(0.371992\pi\)
\(198\) −2.21583 8.08769i −0.157472 0.574767i
\(199\) −4.67695 + 11.2912i −0.331540 + 0.800409i 0.666930 + 0.745120i \(0.267608\pi\)
−0.998470 + 0.0552885i \(0.982392\pi\)
\(200\) −5.65576 10.5307i −0.399923 0.744636i
\(201\) −10.3725 + 2.98982i −0.731620 + 0.210886i
\(202\) 6.39950 + 5.24484i 0.450267 + 0.369026i
\(203\) 3.10689 15.6194i 0.218061 1.09627i
\(204\) −1.60788 + 14.4606i −0.112574 + 1.01245i
\(205\) −5.10276 + 7.63683i −0.356393 + 0.533379i
\(206\) 22.0449 + 2.15648i 1.53594 + 0.150249i
\(207\) 6.41393 + 10.2014i 0.445799 + 0.709049i
\(208\) 2.64899 + 3.94182i 0.183675 + 0.273316i
\(209\) −7.25116 7.25116i −0.501573 0.501573i
\(210\) 3.22626 2.09455i 0.222633 0.144537i
\(211\) −1.47845 + 2.21265i −0.101780 + 0.152325i −0.878864 0.477072i \(-0.841698\pi\)
0.777084 + 0.629397i \(0.216698\pi\)
\(212\) 24.7596 10.2943i 1.70050 0.707014i
\(213\) 5.10538 16.0256i 0.349815 1.09806i
\(214\) 15.1868 1.50593i 1.03814 0.102943i
\(215\) 1.66359 + 4.01627i 0.113456 + 0.273908i
\(216\) −13.3445 6.15837i −0.907975 0.419024i
\(217\) 1.81841 4.39004i 0.123442 0.298015i
\(218\) −21.2260 6.42346i −1.43760 0.435052i
\(219\) 3.41576 + 6.60961i 0.230816 + 0.446636i
\(220\) −2.89393 1.92811i −0.195109 0.129993i
\(221\) 4.89104 0.972888i 0.329007 0.0654435i
\(222\) −6.54638 4.50049i −0.439364 0.302053i
\(223\) 11.7244 0.785121 0.392561 0.919726i \(-0.371589\pi\)
0.392561 + 0.919726i \(0.371589\pi\)
\(224\) 8.92162 + 4.73074i 0.596101 + 0.316086i
\(225\) 2.81782 12.3614i 0.187854 0.824095i
\(226\) 3.43859 6.44342i 0.228732 0.428610i
\(227\) −3.84811 19.3458i −0.255408 1.28402i −0.869162 0.494527i \(-0.835341\pi\)
0.613754 0.789497i \(-0.289659\pi\)
\(228\) −17.9067 + 1.53682i −1.18590 + 0.101779i
\(229\) 14.0022 9.35598i 0.925292 0.618260i 0.00102184 0.999999i \(-0.499675\pi\)
0.924270 + 0.381739i \(0.124675\pi\)
\(230\) 4.78281 + 1.44739i 0.315369 + 0.0954379i
\(231\) −2.95544 + 5.34922i −0.194454 + 0.351953i
\(232\) −11.8503 + 22.2768i −0.778010 + 1.46255i
\(233\) −17.8878 + 7.40939i −1.17187 + 0.485405i −0.881811 0.471603i \(-0.843675\pi\)
−0.290061 + 0.957008i \(0.593675\pi\)
\(234\) −0.629450 + 4.99783i −0.0411485 + 0.326719i
\(235\) 0.581006 2.92091i 0.0379006 0.190539i
\(236\) 17.4547 + 7.20288i 1.13621 + 0.468867i
\(237\) −7.32993 6.18784i −0.476130 0.401943i
\(238\) 8.19220 6.73226i 0.531022 0.436388i
\(239\) −21.3101 + 21.3101i −1.37844 + 1.37844i −0.531171 + 0.847265i \(0.678248\pi\)
−0.847265 + 0.531171i \(0.821752\pi\)
\(240\) −5.85164 + 1.70353i −0.377722 + 0.109962i
\(241\) −13.2100 13.2100i −0.850928 0.850928i 0.139319 0.990248i \(-0.455509\pi\)
−0.990248 + 0.139319i \(0.955509\pi\)
\(242\) −9.98379 0.976633i −0.641782 0.0627804i
\(243\) −6.37685 14.2245i −0.409075 0.912501i
\(244\) 5.78185 5.79721i 0.370145 0.371128i
\(245\) 3.28999 + 0.654419i 0.210189 + 0.0418093i
\(246\) −17.8437 18.3220i −1.13767 1.16817i
\(247\) 2.35733 + 5.69109i 0.149993 + 0.362116i
\(248\) −4.76463 + 5.82933i −0.302554 + 0.370163i
\(249\) 7.91024 14.3172i 0.501291 0.907314i
\(250\) −5.41731 10.1189i −0.342621 0.639977i
\(251\) −7.74513 11.5914i −0.488868 0.731643i 0.502236 0.864731i \(-0.332511\pi\)
−0.991104 + 0.133088i \(0.957511\pi\)
\(252\) 3.83575 + 10.0005i 0.241630 + 0.629970i
\(253\) −7.78669 + 1.54887i −0.489545 + 0.0973765i
\(254\) 2.06068 + 6.77699i 0.129299 + 0.425226i
\(255\) −0.715639 + 6.35938i −0.0448151 + 0.398240i
\(256\) −11.3736 11.2535i −0.710848 0.703346i
\(257\) 12.2036i 0.761242i 0.924731 + 0.380621i \(0.124290\pi\)
−0.924731 + 0.380621i \(0.875710\pi\)
\(258\) −11.9025 + 2.20435i −0.741017 + 0.137237i
\(259\) 1.12948 + 5.67829i 0.0701827 + 0.352832i
\(260\) 1.16283 + 1.73531i 0.0721154 + 0.107619i
\(261\) −25.0009 + 9.55127i −1.54752 + 0.591209i
\(262\) 21.6400 11.5853i 1.33692 0.715741i
\(263\) 17.5876 + 7.28501i 1.08450 + 0.449213i 0.852084 0.523404i \(-0.175338\pi\)
0.232412 + 0.972617i \(0.425338\pi\)
\(264\) 6.92790 6.76498i 0.426383 0.416356i
\(265\) 10.8962 4.51336i 0.669349 0.277254i
\(266\) 10.1304 + 8.30257i 0.621135 + 0.509063i
\(267\) 4.41999 13.8742i 0.270499 0.849086i
\(268\) −8.82560 8.80223i −0.539110 0.537681i
\(269\) −17.2261 11.5101i −1.05030 0.701786i −0.0944132 0.995533i \(-0.530097\pi\)
−0.955883 + 0.293748i \(0.905097\pi\)
\(270\) −5.86580 2.71646i −0.356981 0.165319i
\(271\) 11.2337 11.2337i 0.682398 0.682398i −0.278142 0.960540i \(-0.589719\pi\)
0.960540 + 0.278142i \(0.0897185\pi\)
\(272\) −15.5046 + 6.47045i −0.940105 + 0.392329i
\(273\) 2.86986 2.28929i 0.173692 0.138554i
\(274\) 13.1748 + 16.0319i 0.795920 + 0.968521i
\(275\) 6.94542 + 4.64078i 0.418825 + 0.279850i
\(276\) −6.71282 + 12.1881i −0.404064 + 0.733635i
\(277\) −4.73459 0.941769i −0.284474 0.0565854i 0.0507908 0.998709i \(-0.483826\pi\)
−0.335265 + 0.942124i \(0.608826\pi\)
\(278\) 20.6319 2.04588i 1.23742 0.122704i
\(279\) −7.87229 + 1.33980i −0.471302 + 0.0802115i
\(280\) 3.92130 + 2.08596i 0.234343 + 0.124660i
\(281\) 16.5631 + 6.86065i 0.988070 + 0.409272i 0.817409 0.576058i \(-0.195410\pi\)
0.170661 + 0.985330i \(0.445410\pi\)
\(282\) 7.61886 + 3.27453i 0.453696 + 0.194995i
\(283\) −10.5394 15.7733i −0.626502 0.937626i −0.999950 0.00997536i \(-0.996825\pi\)
0.373448 0.927651i \(-0.378175\pi\)
\(284\) 19.0429 3.81413i 1.12999 0.226327i
\(285\) −7.87691 + 0.665506i −0.466588 + 0.0394212i
\(286\) −2.92797 1.56254i −0.173134 0.0923947i
\(287\) 18.6387i 1.10021i
\(288\) −1.24989 16.9245i −0.0736502 0.997284i
\(289\) 0.641229i 0.0377193i
\(290\) −5.22520 + 9.79127i −0.306834 + 0.574963i
\(291\) −4.91816 + 0.415526i −0.288307 + 0.0243586i
\(292\) −4.76344 + 7.14951i −0.278759 + 0.418393i
\(293\) 1.04807 + 1.56854i 0.0612286 + 0.0916351i 0.860821 0.508909i \(-0.169951\pi\)
−0.799592 + 0.600544i \(0.794951\pi\)
\(294\) −3.68828 + 8.58154i −0.215105 + 0.500486i
\(295\) 7.67304 + 3.17828i 0.446741 + 0.185046i
\(296\) 0.880959 9.13071i 0.0512047 0.530712i
\(297\) 10.2540 0.580119i 0.594997 0.0336619i
\(298\) −0.0923222 0.931033i −0.00534808 0.0539333i
\(299\) 4.67747 + 0.930406i 0.270505 + 0.0538068i
\(300\) 14.0618 4.07344i 0.811857 0.235180i
\(301\) 7.33507 + 4.90114i 0.422787 + 0.282497i
\(302\) 26.7798 22.0073i 1.54100 1.26638i
\(303\) −7.92201 + 6.31939i −0.455108 + 0.363039i
\(304\) −11.5754 17.2247i −0.663894 0.987905i
\(305\) 2.54646 2.54646i 0.145810 0.145810i
\(306\) −16.9059 5.63313i −0.966447 0.322024i
\(307\) 18.7859 + 12.5523i 1.07217 + 0.716398i 0.960761 0.277377i \(-0.0894650\pi\)
0.111405 + 0.993775i \(0.464465\pi\)
\(308\) −7.05679 + 0.00935891i −0.402098 + 0.000533274i
\(309\) −8.23465 + 25.8483i −0.468453 + 1.47046i
\(310\) −2.09906 + 2.56117i −0.119219 + 0.145465i
\(311\) −22.2263 + 9.20645i −1.26034 + 0.522050i −0.910014 0.414578i \(-0.863929\pi\)
−0.350326 + 0.936628i \(0.613929\pi\)
\(312\) −5.39993 + 2.16182i −0.305711 + 0.122389i
\(313\) −0.620600 0.257061i −0.0350784 0.0145300i 0.365075 0.930978i \(-0.381043\pi\)
−0.400154 + 0.916448i \(0.631043\pi\)
\(314\) −13.8722 25.9117i −0.782853 1.46228i
\(315\) 1.68127 + 4.40081i 0.0947290 + 0.247958i
\(316\) 2.14652 10.8666i 0.120751 0.611292i
\(317\) 4.99544 + 25.1138i 0.280572 + 1.41053i 0.821858 + 0.569692i \(0.192937\pi\)
−0.541287 + 0.840838i \(0.682063\pi\)
\(318\) 5.98045 + 32.2917i 0.335367 + 1.81083i
\(319\) 17.6329i 0.987251i
\(320\) −4.99595 4.95636i −0.279282 0.277069i
\(321\) −2.09017 + 18.5739i −0.116662 + 1.03669i
\(322\) 9.70195 2.95008i 0.540668 0.164402i
\(323\) −21.3725 + 4.25126i −1.18920 + 0.236546i
\(324\) 10.7967 14.4025i 0.599814 0.800139i
\(325\) −2.78772 4.17212i −0.154635 0.231427i
\(326\) −6.88293 + 3.68487i −0.381210 + 0.204086i
\(327\) 13.1349 23.7735i 0.726359 1.31468i
\(328\) 8.51638 28.2771i 0.470238 1.56134i
\(329\) −2.31278 5.58355i −0.127508 0.307831i
\(330\) 3.05109 2.97145i 0.167957 0.163573i
\(331\) 5.77655 + 1.14903i 0.317508 + 0.0631563i 0.351272 0.936274i \(-0.385749\pi\)
−0.0337636 + 0.999430i \(0.510749\pi\)
\(332\) 18.8875 0.0250491i 1.03659 0.00137475i
\(333\) 7.06823 6.68613i 0.387337 0.366397i
\(334\) 0.839396 8.58086i 0.0459297 0.469524i
\(335\) −3.87669 3.87669i −0.211806 0.211806i
\(336\) −7.95297 + 9.47171i −0.433870 + 0.516724i
\(337\) −22.1894 + 22.1894i −1.20873 + 1.20873i −0.237295 + 0.971438i \(0.576261\pi\)
−0.971438 + 0.237295i \(0.923739\pi\)
\(338\) −10.4068 12.6636i −0.566058 0.688811i
\(339\) 6.83508 + 5.77009i 0.371231 + 0.313388i
\(340\) −6.82328 + 2.83690i −0.370044 + 0.153853i
\(341\) 1.02641 5.16011i 0.0555832 0.279436i
\(342\) 2.75053 21.8392i 0.148732 1.18093i
\(343\) 17.8338 7.38702i 0.962937 0.398862i
\(344\) −8.88873 10.7871i −0.479248 0.581603i
\(345\) −2.95966 + 5.35684i −0.159343 + 0.288403i
\(346\) −5.02654 + 16.6099i −0.270229 + 0.892956i
\(347\) −3.29006 + 2.19835i −0.176620 + 0.118014i −0.640738 0.767760i \(-0.721371\pi\)
0.464118 + 0.885773i \(0.346371\pi\)
\(348\) −23.6407 19.9035i −1.26727 1.06694i
\(349\) −0.572654 2.87892i −0.0306534 0.154105i 0.962427 0.271540i \(-0.0875329\pi\)
−0.993081 + 0.117435i \(0.962533\pi\)
\(350\) −9.41279 5.02322i −0.503135 0.268502i
\(351\) −5.82406 2.03522i −0.310865 0.108632i
\(352\) 10.7102 + 3.21017i 0.570857 + 0.171103i
\(353\) 17.1877 0.914807 0.457404 0.889259i \(-0.348779\pi\)
0.457404 + 0.889259i \(0.348779\pi\)
\(354\) −13.1014 + 19.0572i −0.696331 + 1.01288i
\(355\) 8.37800 1.66649i 0.444658 0.0884480i
\(356\) 16.4864 3.30209i 0.873778 0.175010i
\(357\) 5.96224 + 11.5371i 0.315555 + 0.610609i
\(358\) −6.40135 + 21.1529i −0.338322 + 1.11797i
\(359\) −0.573946 + 1.38563i −0.0302917 + 0.0731307i −0.938302 0.345818i \(-0.887601\pi\)
0.908010 + 0.418949i \(0.137601\pi\)
\(360\) −0.539874 7.44474i −0.0284538 0.392372i
\(361\) −3.02990 7.31483i −0.159468 0.384991i
\(362\) 3.24071 + 32.6813i 0.170328 + 1.71769i
\(363\) 3.72934 11.7063i 0.195740 0.614420i
\(364\) 3.91849 + 1.61701i 0.205385 + 0.0847542i
\(365\) −2.09931 + 3.14184i −0.109883 + 0.164451i
\(366\) 5.46039 + 8.41073i 0.285419 + 0.439636i
\(367\) −0.597848 0.597848i −0.0312074 0.0312074i 0.691331 0.722538i \(-0.257025\pi\)
−0.722538 + 0.691331i \(0.757025\pi\)
\(368\) −16.0669 + 0.0426169i −0.837546 + 0.00222156i
\(369\) 26.5175 16.6723i 1.38044 0.867923i
\(370\) 0.392805 4.01551i 0.0204209 0.208756i
\(371\) 13.2969 19.9002i 0.690339 1.03317i
\(372\) −5.75966 7.20072i −0.298624 0.373340i
\(373\) −0.819626 + 4.12054i −0.0424386 + 0.213353i −0.996186 0.0872563i \(-0.972190\pi\)
0.953747 + 0.300610i \(0.0971901\pi\)
\(374\) 7.44204 9.08042i 0.384819 0.469537i
\(375\) 13.5074 3.89345i 0.697521 0.201057i
\(376\) 0.957531 + 9.52763i 0.0493809 + 0.491350i
\(377\) −4.05341 + 9.78579i −0.208761 + 0.503994i
\(378\) −12.9601 + 2.02974i −0.666594 + 0.104398i
\(379\) 15.5395 10.3832i 0.798210 0.533347i −0.0882793 0.996096i \(-0.528137\pi\)
0.886489 + 0.462749i \(0.153137\pi\)
\(380\) −5.08124 7.58282i −0.260662 0.388990i
\(381\) −8.64451 + 0.730359i −0.442871 + 0.0374174i
\(382\) −8.17783 + 2.48664i −0.418414 + 0.127228i
\(383\) 33.7000 1.72199 0.860995 0.508614i \(-0.169842\pi\)
0.860995 + 0.508614i \(0.169842\pi\)
\(384\) 16.3934 10.7358i 0.836570 0.547860i
\(385\) −3.10384 −0.158186
\(386\) −2.54738 + 0.774585i −0.129658 + 0.0394253i
\(387\) 0.411699 14.8197i 0.0209278 0.753328i
\(388\) −3.17260 4.73453i −0.161065 0.240359i
\(389\) −8.49069 + 5.67330i −0.430495 + 0.287648i −0.751879 0.659301i \(-0.770852\pi\)
0.321384 + 0.946949i \(0.395852\pi\)
\(390\) −2.37635 + 0.947700i −0.120331 + 0.0479886i
\(391\) −6.45622 + 15.5867i −0.326505 + 0.788252i
\(392\) −10.7315 + 1.07852i −0.542023 + 0.0544735i
\(393\) 8.32640 + 28.8866i 0.420011 + 1.45713i
\(394\) 4.67588 5.70529i 0.235567 0.287428i
\(395\) 0.950456 4.77827i 0.0478226 0.240421i
\(396\) 6.32557 + 10.0314i 0.317872 + 0.504095i
\(397\) −8.55063 + 12.7969i −0.429144 + 0.642259i −0.981525 0.191332i \(-0.938719\pi\)
0.552381 + 0.833592i \(0.313719\pi\)
\(398\) 1.68270 17.2016i 0.0843460 0.862240i
\(399\) −12.5405 + 10.0036i −0.627812 + 0.500805i
\(400\) 11.9851 + 11.9217i 0.599254 + 0.596084i
\(401\) −11.2667 11.2667i −0.562633 0.562633i 0.367422 0.930054i \(-0.380241\pi\)
−0.930054 + 0.367422i \(0.880241\pi\)
\(402\) 12.8044 8.31284i 0.638625 0.414607i
\(403\) −1.75583 + 2.62778i −0.0874641 + 0.130899i
\(404\) −10.8167 4.46361i −0.538149 0.222073i
\(405\) 4.75717 6.32846i 0.236386 0.314464i
\(406\) 2.22240 + 22.4120i 0.110296 + 1.11229i
\(407\) 2.45310 + 5.92232i 0.121596 + 0.293558i
\(408\) −3.77388 20.2274i −0.186835 1.00141i
\(409\) 0.575698 1.38986i 0.0284664 0.0687240i −0.909007 0.416781i \(-0.863158\pi\)
0.937474 + 0.348057i \(0.113158\pi\)
\(410\) 3.76231 12.4324i 0.185807 0.613991i
\(411\) −22.5778 + 11.6679i −1.11368 + 0.575535i
\(412\) −30.7150 + 6.15195i −1.51322 + 0.303085i
\(413\) 16.5301 3.28805i 0.813394 0.161794i
\(414\) −12.8754 11.1642i −0.632793 0.548690i
\(415\) 8.30743 0.407796
\(416\) −5.20596 4.24361i −0.255243 0.208060i
\(417\) −2.83959 + 25.2334i −0.139055 + 1.23569i
\(418\) 12.7944 + 6.82786i 0.625796 + 0.333962i
\(419\) 3.58654 + 18.0308i 0.175214 + 0.880860i 0.963941 + 0.266116i \(0.0857405\pi\)
−0.788727 + 0.614744i \(0.789259\pi\)
\(420\) −3.50354 + 4.16137i −0.170955 + 0.203054i
\(421\) −19.2955 + 12.8928i −0.940404 + 0.628358i −0.928405 0.371570i \(-0.878819\pi\)
−0.0119989 + 0.999928i \(0.503819\pi\)
\(422\) 1.09007 3.60208i 0.0530639 0.175347i
\(423\) −5.87498 + 8.28486i −0.285651 + 0.402824i
\(424\) −29.2656 + 24.1153i −1.42126 + 1.17114i
\(425\) 16.3994 6.79284i 0.795486 0.329501i
\(426\) −0.314526 + 23.7838i −0.0152388 + 1.15233i
\(427\) 1.42573 7.16762i 0.0689959 0.346866i
\(428\) −19.9288 + 8.28576i −0.963294 + 0.400507i
\(429\) 2.62200 3.10594i 0.126591 0.149956i
\(430\) −3.90330 4.74976i −0.188234 0.229054i
\(431\) −14.3376 + 14.3376i −0.690617 + 0.690617i −0.962368 0.271751i \(-0.912397\pi\)
0.271751 + 0.962368i \(0.412397\pi\)
\(432\) 20.5893 + 2.84235i 0.990605 + 0.136753i
\(433\) 0.421381 + 0.421381i 0.0202503 + 0.0202503i 0.717159 0.696909i \(-0.245442\pi\)
−0.696909 + 0.717159i \(0.745442\pi\)
\(434\) −0.654238 + 6.68805i −0.0314044 + 0.321037i
\(435\) −10.3864 8.76809i −0.497991 0.420398i
\(436\) 31.3624 0.0415938i 1.50199 0.00199198i
\(437\) −20.4393 4.06562i −0.977743 0.194485i
\(438\) −7.34102 7.53778i −0.350768 0.360169i
\(439\) −1.36422 3.29352i −0.0651108 0.157191i 0.887975 0.459892i \(-0.152112\pi\)
−0.953086 + 0.302701i \(0.902112\pi\)
\(440\) 4.70889 + 1.41820i 0.224487 + 0.0676101i
\(441\) −9.33170 6.61731i −0.444367 0.315110i
\(442\) −6.21753 + 3.32864i −0.295738 + 0.158327i
\(443\) −2.11097 3.15928i −0.100295 0.150102i 0.777928 0.628353i \(-0.216271\pi\)
−0.878223 + 0.478251i \(0.841271\pi\)
\(444\) 10.7091 + 3.39604i 0.508233 + 0.161169i
\(445\) 7.25326 1.44276i 0.343838 0.0683935i
\(446\) −15.8636 + 4.82366i −0.751163 + 0.228407i
\(447\) 1.13868 + 0.128139i 0.0538579 + 0.00606078i
\(448\) −14.0177 2.73036i −0.662274 0.128997i
\(449\) 31.0572i 1.46568i 0.680401 + 0.732840i \(0.261806\pi\)
−0.680401 + 0.732840i \(0.738194\pi\)
\(450\) 1.27312 + 17.8849i 0.0600156 + 0.843101i
\(451\) 4.02610 + 20.2406i 0.189582 + 0.953092i
\(452\) −2.00160 + 10.1330i −0.0941475 + 0.476614i
\(453\) 19.4902 + 37.7141i 0.915728 + 1.77196i
\(454\) 13.1659 + 24.5925i 0.617908 + 1.15418i
\(455\) 1.72255 + 0.713505i 0.0807546 + 0.0334496i
\(456\) 23.5962 9.44658i 1.10500 0.442377i
\(457\) 0.554573 0.229712i 0.0259419 0.0107455i −0.369675 0.929161i \(-0.620531\pi\)
0.395617 + 0.918416i \(0.370531\pi\)
\(458\) −15.0964 + 18.4199i −0.705407 + 0.860704i
\(459\) 11.0807 18.8024i 0.517205 0.877621i
\(460\) −7.06685 + 0.00937226i −0.329494 + 0.000436984i
\(461\) −25.4530 17.0072i −1.18547 0.792103i −0.203116 0.979155i \(-0.565107\pi\)
−0.982350 + 0.187052i \(0.940107\pi\)
\(462\) 1.79806 8.45367i 0.0836534 0.393300i
\(463\) −5.70209 + 5.70209i −0.264999 + 0.264999i −0.827081 0.562083i \(-0.810000\pi\)
0.562083 + 0.827081i \(0.310000\pi\)
\(464\) 6.86882 35.0170i 0.318877 1.62563i
\(465\) −2.52911 3.17051i −0.117285 0.147029i
\(466\) 21.1547 17.3847i 0.979971 0.805330i
\(467\) −5.75749 3.84703i −0.266425 0.178019i 0.415181 0.909739i \(-0.363718\pi\)
−0.681606 + 0.731719i \(0.738718\pi\)
\(468\) −1.20454 7.02126i −0.0556800 0.324558i
\(469\) −10.9119 2.17051i −0.503865 0.100225i
\(470\) 0.415600 + 4.19117i 0.0191702 + 0.193324i
\(471\) 34.5887 9.97002i 1.59376 0.459394i
\(472\) −26.5805 2.56457i −1.22346 0.118044i
\(473\) 9.02414 + 3.73792i 0.414931 + 0.171870i
\(474\) 12.4635 + 5.35673i 0.572470 + 0.246043i
\(475\) 12.1816 + 18.2310i 0.558929 + 0.836497i
\(476\) −8.31462 + 12.4795i −0.381100 + 0.571997i
\(477\) −40.2061 1.11695i −1.84091 0.0511415i
\(478\) 20.0661 37.6010i 0.917802 1.71983i
\(479\) 17.0790i 0.780358i −0.920739 0.390179i \(-0.872413\pi\)
0.920739 0.390179i \(-0.127587\pi\)
\(480\) 7.21667 4.71245i 0.329394 0.215093i
\(481\) 3.85065i 0.175575i
\(482\) 23.3085 + 12.4388i 1.06167 + 0.566572i
\(483\) 1.04558 + 12.3755i 0.0475757 + 0.563104i
\(484\) 13.9103 2.78612i 0.632288 0.126642i
\(485\) −1.39267 2.08427i −0.0632378 0.0946420i
\(486\) 14.4804 + 16.6228i 0.656846 + 0.754025i
\(487\) 15.8723 + 6.57454i 0.719245 + 0.297921i 0.712124 0.702054i \(-0.247733\pi\)
0.00712078 + 0.999975i \(0.497733\pi\)
\(488\) −5.43801 + 10.2227i −0.246167 + 0.462758i
\(489\) −2.64834 9.18780i −0.119762 0.415487i
\(490\) −4.72074 + 0.468114i −0.213261 + 0.0211472i
\(491\) 12.4835 + 2.48313i 0.563374 + 0.112062i 0.468558 0.883433i \(-0.344774\pi\)
0.0948158 + 0.995495i \(0.469774\pi\)
\(492\) 31.6814 + 17.4492i 1.42831 + 0.786670i
\(493\) −31.1551 20.8172i −1.40315 0.937557i
\(494\) −5.53101 6.73045i −0.248852 0.302817i
\(495\) 2.77637 + 4.41586i 0.124789 + 0.198478i
\(496\) 4.04845 9.84761i 0.181781 0.442171i
\(497\) 12.2575 12.2575i 0.549824 0.549824i
\(498\) −4.81251 + 22.6262i −0.215654 + 1.01391i
\(499\) −4.47018 2.98688i −0.200113 0.133711i 0.451477 0.892283i \(-0.350897\pi\)
−0.651589 + 0.758572i \(0.725897\pi\)
\(500\) 11.4930 + 11.4626i 0.513983 + 0.512622i
\(501\) 10.0613 + 3.20529i 0.449506 + 0.143202i
\(502\) 15.2485 + 12.4972i 0.680572 + 0.557776i
\(503\) −11.5844 + 4.79840i −0.516521 + 0.213950i −0.625688 0.780073i \(-0.715182\pi\)
0.109167 + 0.994023i \(0.465182\pi\)
\(504\) −9.30435 11.9530i −0.414449 0.532427i
\(505\) −4.75496 1.96957i −0.211593 0.0876448i
\(506\) 9.89851 5.29930i 0.440042 0.235583i
\(507\) 17.8343 9.21652i 0.792048 0.409320i
\(508\) −5.57640 8.32176i −0.247413 0.369218i
\(509\) 2.59149 + 13.0283i 0.114866 + 0.577469i 0.994755 + 0.102290i \(0.0326169\pi\)
−0.879889 + 0.475179i \(0.842383\pi\)
\(510\) −1.64809 8.89896i −0.0729789 0.394053i
\(511\) 7.66810i 0.339217i
\(512\) 20.0189 + 10.5472i 0.884719 + 0.466125i
\(513\) 25.4496 + 8.89335i 1.12363 + 0.392651i
\(514\) −5.02084 16.5121i −0.221460 0.728316i
\(515\) −13.5132 + 2.68794i −0.595462 + 0.118445i
\(516\) 15.1977 7.87954i 0.669042 0.346877i
\(517\) −3.71763 5.56383i −0.163501 0.244697i
\(518\) −3.86442 7.21830i −0.169793 0.317154i
\(519\) −18.6035 10.2784i −0.816601 0.451172i
\(520\) −2.28730 1.86954i −0.100305 0.0819846i
\(521\) −7.83170 18.9074i −0.343113 0.828348i −0.997397 0.0720996i \(-0.977030\pi\)
0.654284 0.756249i \(-0.272970\pi\)
\(522\) 29.8978 23.2092i 1.30859 1.01584i
\(523\) −6.97752 1.38791i −0.305105 0.0606893i 0.0401632 0.999193i \(-0.487212\pi\)
−0.345269 + 0.938504i \(0.612212\pi\)
\(524\) −24.5135 + 24.5786i −1.07088 + 1.07372i
\(525\) 8.42917 9.98494i 0.367879 0.435779i
\(526\) −26.7940 2.62104i −1.16827 0.114283i
\(527\) −7.90551 7.90551i −0.344369 0.344369i
\(528\) −6.59050 + 12.0036i −0.286815 + 0.522390i
\(529\) 4.85484 4.85484i 0.211080 0.211080i
\(530\) −12.8862 + 10.5897i −0.559740 + 0.459988i
\(531\) −19.4640 20.5764i −0.844667 0.892938i
\(532\) −17.1227 7.06588i −0.742365 0.306345i
\(533\) 2.41848 12.1585i 0.104756 0.526644i
\(534\) −0.272301 + 20.5909i −0.0117836 + 0.891054i
\(535\) −8.77026 + 3.63276i −0.379171 + 0.157058i
\(536\) 15.5629 + 8.27876i 0.672214 + 0.357588i
\(537\) −23.6917 13.0896i −1.02237 0.564860i
\(538\) 28.0433 + 8.48653i 1.20903 + 0.365880i
\(539\) 6.26685 4.18737i 0.269932 0.180363i
\(540\) 9.05430 + 1.26218i 0.389635 + 0.0543156i
\(541\) −3.47342 17.4621i −0.149334 0.750753i −0.980775 0.195140i \(-0.937484\pi\)
0.831441 0.555613i \(-0.187516\pi\)
\(542\) −10.5779 + 19.8215i −0.454360 + 0.851405i
\(543\) −39.9702 4.49797i −1.71529 0.193026i
\(544\) 18.3164 15.1338i 0.785307 0.648854i
\(545\) 13.7944 0.590887
\(546\) −2.94119 + 4.27824i −0.125871 + 0.183092i
\(547\) 2.91657 0.580142i 0.124704 0.0248051i −0.132344 0.991204i \(-0.542250\pi\)
0.257047 + 0.966399i \(0.417250\pi\)
\(548\) −24.4220 16.2715i −1.04326 0.695082i
\(549\) −11.4727 + 4.38301i −0.489644 + 0.187062i
\(550\) −11.3068 3.42169i −0.482123 0.145901i
\(551\) 17.7123 42.7613i 0.754570 1.82169i
\(552\) 4.06831 19.2528i 0.173159 0.819453i
\(553\) −3.78343 9.13402i −0.160888 0.388418i
\(554\) 6.79358 0.673658i 0.288632 0.0286210i
\(555\) 4.70830 + 1.49995i 0.199856 + 0.0636694i
\(556\) −27.0741 + 11.2566i −1.14820 + 0.477385i
\(557\) 5.14626 7.70192i 0.218054 0.326341i −0.706275 0.707938i \(-0.749626\pi\)
0.924329 + 0.381597i \(0.124626\pi\)
\(558\) 10.1003 5.05164i 0.427582 0.213853i
\(559\) −4.14890 4.14890i −0.175480 0.175480i
\(560\) −6.16391 1.20909i −0.260473 0.0510934i
\(561\) 8.96674 + 11.2407i 0.378576 + 0.474585i
\(562\) −25.2332 2.46836i −1.06440 0.104122i
\(563\) 11.4925 17.1998i 0.484352 0.724884i −0.506141 0.862451i \(-0.668928\pi\)
0.990492 + 0.137567i \(0.0439284\pi\)
\(564\) −11.6559 1.29602i −0.490801 0.0545722i
\(565\) −0.886290 + 4.45568i −0.0372865 + 0.187452i
\(566\) 20.7498 + 17.0059i 0.872178 + 0.714810i
\(567\) 0.891970 16.0415i 0.0374592 0.673679i
\(568\) −24.1967 + 12.9954i −1.01527 + 0.545273i
\(569\) −1.45541 + 3.51367i −0.0610139 + 0.147301i −0.951446 0.307815i \(-0.900402\pi\)
0.890432 + 0.455116i \(0.150402\pi\)
\(570\) 10.3840 4.14119i 0.434938 0.173455i
\(571\) −26.2434 + 17.5353i −1.09825 + 0.733828i −0.966297 0.257428i \(-0.917125\pi\)
−0.131953 + 0.991256i \(0.542125\pi\)
\(572\) 4.60454 + 0.909552i 0.192525 + 0.0380303i
\(573\) −0.881329 10.4314i −0.0368180 0.435777i
\(574\) −7.66839 25.2191i −0.320072 1.05262i
\(575\) 16.9754 0.707925
\(576\) 8.65425 + 22.3854i 0.360594 + 0.932723i
\(577\) −38.1968 −1.59015 −0.795077 0.606509i \(-0.792569\pi\)
−0.795077 + 0.606509i \(0.792569\pi\)
\(578\) −0.263816 0.867612i −0.0109733 0.0360879i
\(579\) −0.274533 3.24936i −0.0114092 0.135039i
\(580\) 3.04159 15.3978i 0.126295 0.639358i
\(581\) 14.0173 9.36604i 0.581534 0.388569i
\(582\) 6.48353 2.58566i 0.268751 0.107179i
\(583\) 10.1410 24.4826i 0.419999 1.01397i
\(584\) 3.50369 11.6334i 0.144984 0.481393i
\(585\) −0.525707 3.08892i −0.0217353 0.127711i
\(586\) −2.06341 1.69111i −0.0852387 0.0698591i
\(587\) −4.56292 + 22.9393i −0.188332 + 0.946807i 0.764804 + 0.644263i \(0.222836\pi\)
−0.953135 + 0.302544i \(0.902164\pi\)
\(588\) 1.45978 13.1287i 0.0602002 0.541417i
\(589\) 7.67250 11.4827i 0.316140 0.473137i
\(590\) −11.6896 1.14350i −0.481252 0.0470770i
\(591\) 5.63386 + 7.06264i 0.231746 + 0.290518i
\(592\) 2.56459 + 12.7167i 0.105404 + 0.522653i
\(593\) −0.720946 0.720946i −0.0296057 0.0296057i 0.692149 0.721755i \(-0.256664\pi\)
−0.721755 + 0.692149i \(0.756664\pi\)
\(594\) −13.6354 + 5.00364i −0.559469 + 0.205302i
\(595\) −3.66436 + 5.48410i −0.150224 + 0.224826i
\(596\) 0.507964 + 1.22175i 0.0208070 + 0.0500447i
\(597\) 20.1694 + 6.42550i 0.825479 + 0.262978i
\(598\) −6.71161 + 0.665530i −0.274458 + 0.0272156i
\(599\) −5.88792 14.2147i −0.240574 0.580797i 0.756766 0.653686i \(-0.226778\pi\)
−0.997340 + 0.0728890i \(0.976778\pi\)
\(600\) −17.3503 + 11.2969i −0.708324 + 0.461193i
\(601\) 13.8900 33.5333i 0.566583 1.36785i −0.337835 0.941206i \(-0.609694\pi\)
0.904418 0.426648i \(-0.140306\pi\)
\(602\) −11.9411 3.61366i −0.486684 0.147282i
\(603\) 6.67264 + 17.4660i 0.271731 + 0.711268i
\(604\) −27.1800 + 40.7947i −1.10594 + 1.65991i
\(605\) 6.11990 1.21732i 0.248809 0.0494913i
\(606\) 8.11891 11.8097i 0.329808 0.479737i
\(607\) −26.8428 −1.08952 −0.544759 0.838593i \(-0.683379\pi\)
−0.544759 + 0.838593i \(0.683379\pi\)
\(608\) 22.7486 + 18.5434i 0.922579 + 0.752036i
\(609\) −27.4106 3.08459i −1.11073 0.124994i
\(610\) −2.39780 + 4.49314i −0.0970842 + 0.181922i
\(611\) 0.784189 + 3.94239i 0.0317249 + 0.159492i
\(612\) 25.1921 + 0.666414i 1.01833 + 0.0269382i
\(613\) 27.1558 18.1449i 1.09681 0.732866i 0.130811 0.991407i \(-0.458242\pi\)
0.966000 + 0.258542i \(0.0832419\pi\)
\(614\) −30.5824 9.25494i −1.23421 0.373499i
\(615\) 13.9245 + 7.69328i 0.561490 + 0.310223i
\(616\) 9.54430 2.91598i 0.384551 0.117488i
\(617\) 17.2960 7.16425i 0.696312 0.288422i −0.00631502 0.999980i \(-0.502010\pi\)
0.702627 + 0.711558i \(0.252010\pi\)
\(618\) 0.507310 38.3618i 0.0204070 1.54314i
\(619\) 3.91055 19.6597i 0.157178 0.790189i −0.819097 0.573655i \(-0.805525\pi\)
0.976275 0.216534i \(-0.0694751\pi\)
\(620\) 1.78640 4.32899i 0.0717436 0.173856i
\(621\) 16.6714 12.5574i 0.669001 0.503910i
\(622\) 26.2855 21.6011i 1.05395 0.866127i
\(623\) 10.6119 10.6119i 0.425158 0.425158i
\(624\) 6.41693 5.14669i 0.256883 0.206033i
\(625\) −9.89341 9.89341i −0.395736 0.395736i
\(626\) 0.945461 + 0.0924868i 0.0377882 + 0.00369652i
\(627\) −11.4574 + 13.5721i −0.457566 + 0.542019i
\(628\) 29.4304 + 29.3524i 1.17440 + 1.17129i
\(629\) 13.3601 + 2.65749i 0.532702 + 0.105961i
\(630\) −4.08543 5.26279i −0.162767 0.209674i
\(631\) 18.9135 + 45.6613i 0.752936 + 1.81775i 0.542303 + 0.840183i \(0.317553\pi\)
0.210633 + 0.977565i \(0.432447\pi\)
\(632\) 1.56641 + 15.5861i 0.0623083 + 0.619981i
\(633\) 4.03440 + 2.22901i 0.160353 + 0.0885951i
\(634\) −17.0914 31.9248i −0.678787 1.26790i
\(635\) −2.44785 3.66347i −0.0971401 0.145380i
\(636\) −21.3773 41.2316i −0.847666 1.63494i
\(637\) −4.44053 + 0.883276i −0.175940 + 0.0349967i
\(638\) 7.25455 + 23.8581i 0.287210 + 0.944550i
\(639\) −28.4031 6.47456i −1.12361 0.256129i
\(640\) 8.79890 + 4.65073i 0.347807 + 0.183836i
\(641\) 34.0329i 1.34422i −0.740453 0.672109i \(-0.765389\pi\)
0.740453 0.672109i \(-0.234611\pi\)
\(642\) −4.81360 25.9912i −0.189978 1.02579i
\(643\) 4.93903 + 24.8302i 0.194776 + 0.979207i 0.947228 + 0.320560i \(0.103871\pi\)
−0.752452 + 0.658647i \(0.771129\pi\)
\(644\) −11.9134 + 7.98318i −0.469456 + 0.314582i
\(645\) 6.68911 3.45685i 0.263383 0.136113i
\(646\) 27.1689 14.5453i 1.06895 0.572276i
\(647\) 17.8713 + 7.40254i 0.702594 + 0.291024i 0.705236 0.708973i \(-0.250841\pi\)
−0.00264227 + 0.999997i \(0.500841\pi\)
\(648\) −8.68287 + 23.9292i −0.341095 + 0.940029i
\(649\) 17.2405 7.14125i 0.676749 0.280319i
\(650\) 5.48841 + 4.49813i 0.215273 + 0.176431i
\(651\) −7.84193 2.49825i −0.307349 0.0979143i
\(652\) 7.79688 7.81758i 0.305349 0.306160i
\(653\) 5.16831 + 3.45335i 0.202251 + 0.135140i 0.652572 0.757727i \(-0.273690\pi\)
−0.450320 + 0.892867i \(0.648690\pi\)
\(654\) −7.99112 + 37.5706i −0.312478 + 1.46913i
\(655\) −10.7963 + 10.7963i −0.421845 + 0.421845i
\(656\) 0.110778 + 41.7641i 0.00432514 + 1.63061i
\(657\) 10.9095 6.85907i 0.425618 0.267598i
\(658\) 5.42649 + 6.60326i 0.211547 + 0.257422i
\(659\) 32.4179 + 21.6610i 1.26282 + 0.843792i 0.992884 0.119086i \(-0.0379963\pi\)
0.269939 + 0.962877i \(0.412996\pi\)
\(660\) −2.90575 + 5.27579i −0.113106 + 0.205360i
\(661\) 12.8918 + 2.56434i 0.501432 + 0.0997411i 0.439325 0.898328i \(-0.355218\pi\)
0.0621078 + 0.998069i \(0.480218\pi\)
\(662\) −8.28868 + 0.821913i −0.322149 + 0.0319446i
\(663\) −2.39231 8.29959i −0.0929097 0.322329i
\(664\) −25.5453 + 7.80462i −0.991351 + 0.302878i
\(665\) −7.52710 3.11783i −0.291888 0.120904i
\(666\) −6.81282 + 11.9547i −0.263991 + 0.463233i
\(667\) −19.9081 29.7946i −0.770847 1.15365i
\(668\) 2.39461 + 11.9556i 0.0926504 + 0.462578i
\(669\) −1.70963 20.2351i −0.0660980 0.782334i
\(670\) 6.84030 + 3.65039i 0.264264 + 0.141027i
\(671\) 8.09159i 0.312372i
\(672\) 6.86386 16.0877i 0.264779 0.620596i
\(673\) 22.2938i 0.859364i 0.902980 + 0.429682i \(0.141374\pi\)
−0.902980 + 0.429682i \(0.858626\pi\)
\(674\) 20.8940 39.1524i 0.804809 1.50810i
\(675\) −21.7455 3.06075i −0.836984 0.117808i
\(676\) 19.2910 + 12.8529i 0.741963 + 0.494342i
\(677\) 4.74556 + 7.10223i 0.182387 + 0.272961i 0.911385 0.411554i \(-0.135014\pi\)
−0.728999 + 0.684515i \(0.760014\pi\)
\(678\) −11.6221 4.99510i −0.446345 0.191836i
\(679\) −4.69974 1.94670i −0.180360 0.0747074i
\(680\) 8.06504 6.64570i 0.309280 0.254851i
\(681\) −32.8278 + 9.46243i −1.25796 + 0.362601i
\(682\) 0.734203 + 7.40416i 0.0281141 + 0.283520i
\(683\) −4.27166 0.849686i −0.163451 0.0325123i 0.112687 0.993631i \(-0.464054\pi\)
−0.276137 + 0.961118i \(0.589054\pi\)
\(684\) 5.26353 + 30.6810i 0.201256 + 1.17312i
\(685\) −10.7322 7.17103i −0.410057 0.273991i
\(686\) −21.0908 + 17.3322i −0.805251 + 0.661747i
\(687\) −18.1893 22.8022i −0.693964 0.869957i
\(688\) 16.4649 + 10.9384i 0.627719 + 0.417024i
\(689\) −11.2560 + 11.2560i −0.428821 + 0.428821i
\(690\) 1.80063 8.46572i 0.0685487 0.322284i
\(691\) 15.3523 + 10.2581i 0.584028 + 0.390235i 0.812194 0.583387i \(-0.198273\pi\)
−0.228166 + 0.973622i \(0.573273\pi\)
\(692\) −0.0325483 24.5420i −0.00123730 0.932948i
\(693\) 9.66318 + 4.32079i 0.367074 + 0.164133i
\(694\) 3.54716 4.32807i 0.134648 0.164291i
\(695\) −11.9148 + 4.93526i −0.451953 + 0.187205i
\(696\) 40.1756 + 17.2041i 1.52285 + 0.652119i
\(697\) 40.5158 + 16.7822i 1.53464 + 0.635670i
\(698\) 1.95928 + 3.65971i 0.0741598 + 0.138522i
\(699\) 15.3962 + 29.7922i 0.582340 + 1.12685i
\(700\) 14.8026 + 2.92402i 0.559485 + 0.110517i
\(701\) −1.06892 5.37381i −0.0403724 0.202966i 0.955335 0.295526i \(-0.0954949\pi\)
−0.995707 + 0.0925602i \(0.970495\pi\)
\(702\) 8.71755 + 0.357594i 0.329023 + 0.0134965i
\(703\) 16.8263i 0.634616i
\(704\) −15.8122 + 0.0629120i −0.595944 + 0.00237108i
\(705\) −5.12593 0.576836i −0.193054 0.0217249i
\(706\) −23.2557 + 7.07138i −0.875240 + 0.266135i
\(707\) −10.2437 + 2.03760i −0.385253 + 0.0766317i
\(708\) 9.88624 31.1755i 0.371548 1.17165i
\(709\) 22.7601 + 34.0630i 0.854775 + 1.27926i 0.958626 + 0.284668i \(0.0918834\pi\)
−0.103851 + 0.994593i \(0.533117\pi\)
\(710\) −10.6502 + 5.70173i −0.399695 + 0.213982i
\(711\) −9.61076 + 13.5530i −0.360432 + 0.508279i
\(712\) −20.9483 + 11.2507i −0.785071 + 0.421639i
\(713\) −4.09161 9.87801i −0.153232 0.369935i
\(714\) −12.8138 13.1573i −0.479544 0.492398i
\(715\) 2.02472 + 0.402741i 0.0757201 + 0.0150617i
\(716\) −0.0414506 31.2545i −0.00154908 1.16803i
\(717\) 39.8865 + 33.6717i 1.48959 + 1.25749i
\(718\) 0.206497 2.11095i 0.00770642 0.0787801i
\(719\) −10.4105 10.4105i −0.388248 0.388248i 0.485814 0.874062i \(-0.338523\pi\)
−0.874062 + 0.485814i \(0.838523\pi\)
\(720\) 3.79340 + 9.85096i 0.141372 + 0.367123i
\(721\) −19.7706 + 19.7706i −0.736294 + 0.736294i
\(722\) 7.10907 + 8.65073i 0.264572 + 0.321947i
\(723\) −20.8728 + 24.7253i −0.776269 + 0.919546i
\(724\) −17.8306 42.8860i −0.662670 1.59384i
\(725\) −7.35531 + 36.9776i −0.273169 + 1.37331i
\(726\) −0.229753 + 17.3735i −0.00852692 + 0.644789i
\(727\) 26.9114 11.1471i 0.998088 0.413422i 0.176993 0.984212i \(-0.443363\pi\)
0.821096 + 0.570790i \(0.193363\pi\)
\(728\) −5.96717 0.575731i −0.221158 0.0213380i
\(729\) −23.6202 + 13.0800i −0.874822 + 0.484445i
\(730\) 1.54784 5.11475i 0.0572882 0.189306i
\(731\) 17.2582 11.5316i 0.638319 0.426511i
\(732\) −10.8485 9.13357i −0.400973 0.337586i
\(733\) 0.362733 + 1.82358i 0.0133978 + 0.0673555i 0.986906 0.161298i \(-0.0515679\pi\)
−0.973508 + 0.228653i \(0.926568\pi\)
\(734\) 1.05488 + 0.562948i 0.0389365 + 0.0207788i
\(735\) 0.649722 5.77362i 0.0239654 0.212963i
\(736\) 21.7217 6.66794i 0.800674 0.245784i
\(737\) −12.3185 −0.453759
\(738\) −29.0200 + 33.4682i −1.06824 + 1.23198i
\(739\) −18.0176 + 3.58392i −0.662788 + 0.131837i −0.515010 0.857184i \(-0.672212\pi\)
−0.147777 + 0.989021i \(0.547212\pi\)
\(740\) 1.12059 + 5.59478i 0.0411935 + 0.205668i
\(741\) 9.47852 4.89838i 0.348202 0.179947i
\(742\) −9.80391 + 32.3965i −0.359913 + 1.18931i
\(743\) 5.48417 13.2400i 0.201195 0.485727i −0.790790 0.612088i \(-0.790330\pi\)
0.991984 + 0.126361i \(0.0403298\pi\)
\(744\) 10.7556 + 7.37326i 0.394320 + 0.270317i
\(745\) 0.222709 + 0.537666i 0.00815941 + 0.0196986i
\(746\) −0.586288 5.91248i −0.0214655 0.216471i
\(747\) −25.8635 11.5646i −0.946296 0.423126i
\(748\) −6.33353 + 15.3480i −0.231577 + 0.561180i
\(749\) −10.7025 + 16.0175i −0.391062 + 0.585265i
\(750\) −16.6743 + 10.8253i −0.608861 + 0.395283i
\(751\) −22.4584 22.4584i −0.819518 0.819518i 0.166520 0.986038i \(-0.446747\pi\)
−0.986038 + 0.166520i \(0.946747\pi\)
\(752\) −5.21546 12.4974i −0.190188 0.455732i
\(753\) −18.8762 + 15.0576i −0.687888 + 0.548728i
\(754\) 1.45836 14.9083i 0.0531102 0.542928i
\(755\) −11.9786 + 17.9272i −0.435944 + 0.652437i
\(756\) 16.7005 8.07838i 0.607391 0.293808i
\(757\) −2.33825 + 11.7552i −0.0849853 + 0.427250i 0.914745 + 0.404031i \(0.132391\pi\)
−0.999730 + 0.0232186i \(0.992609\pi\)
\(758\) −16.7538 + 20.4422i −0.608525 + 0.742493i
\(759\) 3.80864 + 13.2132i 0.138245 + 0.479609i
\(760\) 9.99488 + 8.16937i 0.362552 + 0.296334i
\(761\) −7.55526 + 18.2400i −0.273878 + 0.661200i −0.999642 0.0267435i \(-0.991486\pi\)
0.725764 + 0.687943i \(0.241486\pi\)
\(762\) 11.3959 4.54475i 0.412831 0.164639i
\(763\) 23.2755 15.5522i 0.842630 0.563027i
\(764\) 10.0419 6.72907i 0.363304 0.243449i
\(765\) 11.0800 + 0.307809i 0.400599 + 0.0111288i
\(766\) −45.5976 + 13.8649i −1.64751 + 0.500960i
\(767\) −11.2097 −0.404757
\(768\) −17.7640 + 21.2706i −0.641004 + 0.767538i
\(769\) −2.86963 −0.103482 −0.0517408 0.998661i \(-0.516477\pi\)
−0.0517408 + 0.998661i \(0.516477\pi\)
\(770\) 4.19964 1.27699i 0.151345 0.0460195i
\(771\) 21.0623 1.77951i 0.758539 0.0640877i
\(772\) 3.12804 2.09610i 0.112581 0.0754402i
\(773\) 34.5172 23.0637i 1.24150 0.829542i 0.251123 0.967955i \(-0.419200\pi\)