Properties

Label 192.2.s.a.35.28
Level $192$
Weight $2$
Character 192.35
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 35.28
Character \(\chi\) \(=\) 192.35
Dual form 192.2.s.a.11.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.35305 + 0.411422i) q^{2} +(-0.525755 + 1.65033i) q^{3} +(1.66146 + 1.11334i) q^{4} +(-0.731423 - 0.488721i) q^{5} +(-1.39035 + 2.01666i) q^{6} +(0.683144 + 1.64925i) q^{7} +(1.78998 + 2.18997i) q^{8} +(-2.44716 - 1.73534i) q^{9} +O(q^{10})\) \(q+(1.35305 + 0.411422i) q^{2} +(-0.525755 + 1.65033i) q^{3} +(1.66146 + 1.11334i) q^{4} +(-0.731423 - 0.488721i) q^{5} +(-1.39035 + 2.01666i) q^{6} +(0.683144 + 1.64925i) q^{7} +(1.78998 + 2.18997i) q^{8} +(-2.44716 - 1.73534i) q^{9} +(-0.788578 - 0.962186i) q^{10} +(-0.385603 - 1.93856i) q^{11} +(-2.71091 + 2.15661i) q^{12} +(-0.659632 - 0.987209i) q^{13} +(0.245785 + 2.51258i) q^{14} +(1.19110 - 0.950140i) q^{15} +(1.52093 + 3.69957i) q^{16} +(2.96995 - 2.96995i) q^{17} +(-2.59717 - 3.35481i) q^{18} +(2.88241 + 4.31384i) q^{19} +(-0.671118 - 1.62632i) q^{20} +(-3.08098 + 0.260306i) q^{21} +(0.275827 - 2.78160i) q^{22} +(1.53714 - 3.71099i) q^{23} +(-4.55526 + 1.80267i) q^{24} +(-1.61729 - 3.90447i) q^{25} +(-0.486353 - 1.60713i) q^{26} +(4.15048 - 3.12626i) q^{27} +(-0.701171 + 3.50075i) q^{28} +(-8.74967 - 1.74042i) q^{29} +(2.00252 - 0.795538i) 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} +(-2.13384 - 5.60774i) q^{36} +(-2.69661 - 1.80182i) q^{37} +(2.12523 + 7.02271i) q^{38} +(1.97602 - 0.569579i) q^{39} +(-0.238950 - 2.47660i) q^{40} +(9.64627 + 3.99562i) q^{41} +(-4.27580 - 0.915375i) q^{42} +(-0.964098 - 4.84685i) q^{43} +(1.51762 - 3.65015i) q^{44} +(0.941815 + 2.46525i) q^{45} +(3.60660 - 4.38872i) q^{46} +(-2.39391 - 2.39391i) q^{47} +(-6.90513 + 0.564960i) q^{48} +(2.69639 - 2.69639i) q^{49} +(-0.581876 - 5.94832i) q^{50} +(3.33993 + 6.46286i) q^{51} +(0.00314928 - 2.37461i) q^{52} +(-13.1496 + 2.61561i) q^{53} +(6.90200 - 2.52237i) q^{54} +(-0.665376 + 1.60636i) q^{55} +(-2.38900 + 4.44820i) q^{56} +(-8.63469 + 2.48890i) q^{57} +(-11.1227 - 5.95467i) q^{58} +(-5.24528 + 7.85011i) q^{59} +(3.03680 - 0.252518i) 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} +(4.44554 + 1.91765i) q^{66} +(-1.21588 + 6.11263i) q^{67} +(8.24105 - 1.62789i) q^{68} +(5.31618 + 4.48786i) q^{69} +(1.04818 - 1.95788i) q^{70} +(-8.97139 + 3.71607i) q^{71} +(-0.580043 - 8.46543i) q^{72} +(-3.96854 - 1.64382i) q^{73} +(-2.90733 - 3.54738i) q^{74} +(7.29396 - 0.616254i) q^{75} +(-0.0137615 + 10.3764i) q^{76} +(2.93375 - 1.96027i) q^{77} +(2.90799 + 0.0423136i) q^{78} +(3.91615 + 3.91615i) q^{79} +(0.695616 - 3.44926i) q^{80} +(2.97721 + 8.49330i) q^{81} +(11.4080 + 9.37494i) q^{82} +(-7.85219 + 5.24667i) q^{83} +(-5.40874 - 2.99770i) q^{84} +(-3.62377 + 0.720813i) q^{85} +(0.689631 - 6.95466i) q^{86} +(7.47245 - 13.5248i) q^{87} +(3.55516 - 4.31444i) q^{88} +(-7.76699 + 3.21719i) q^{89} +(0.260062 + 3.72307i) q^{90} +(1.17754 - 1.76231i) q^{91} +(6.68551 - 4.45430i) q^{92} +(-1.39947 + 4.39289i) q^{93} +(-2.25416 - 4.22397i) q^{94} -4.56394i q^{95} +(-9.57539 - 2.07650i) q^{96} +2.84961i q^{97} +(4.75769 - 2.53899i) q^{98} +(-2.42042 + 5.41312i) 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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

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
\(3\) −0.525755 + 1.65033i −0.303545 + 0.952817i
\(4\) 1.66146 + 1.11334i 0.830732 + 0.556672i
\(5\) −0.731423 0.488721i −0.327102 0.218563i 0.381165 0.924507i \(-0.375523\pi\)
−0.708267 + 0.705944i \(0.750523\pi\)
\(6\) −1.39035 + 2.01666i −0.567609 + 0.823298i
\(7\) 0.683144 + 1.64925i 0.258204 + 0.623360i 0.998820 0.0485690i \(-0.0154661\pi\)
−0.740616 + 0.671929i \(0.765466\pi\)
\(8\) 1.78998 + 2.18997i 0.632854 + 0.774271i
\(9\) −2.44716 1.73534i −0.815721 0.578446i
\(10\) −0.788578 0.962186i −0.249370 0.304270i
\(11\) −0.385603 1.93856i −0.116264 0.584497i −0.994364 0.106021i \(-0.966189\pi\)
0.878100 0.478477i \(-0.158811\pi\)
\(12\) −2.71091 + 2.15661i −0.782572 + 0.622561i
\(13\) −0.659632 0.987209i −0.182949 0.273803i 0.728647 0.684889i \(-0.240149\pi\)
−0.911596 + 0.411087i \(0.865149\pi\)
\(14\) 0.245785 + 2.51258i 0.0656888 + 0.671515i
\(15\) 1.19110 0.950140i 0.307541 0.245325i
\(16\) 1.52093 + 3.69957i 0.380232 + 0.924891i
\(17\) 2.96995 2.96995i 0.720319 0.720319i −0.248351 0.968670i \(-0.579889\pi\)
0.968670 + 0.248351i \(0.0798886\pi\)
\(18\) −2.59717 3.35481i −0.612158 0.790735i
\(19\) 2.88241 + 4.31384i 0.661271 + 0.989662i 0.998830 + 0.0483579i \(0.0153988\pi\)
−0.337559 + 0.941304i \(0.609601\pi\)
\(20\) −0.671118 1.62632i −0.150067 0.363656i
\(21\) −3.08098 + 0.260306i −0.672324 + 0.0568035i
\(22\) 0.275827 2.78160i 0.0588064 0.593040i
\(23\) 1.53714 3.71099i 0.320516 0.773794i −0.678708 0.734408i \(-0.737460\pi\)
0.999224 0.0393859i \(-0.0125402\pi\)
\(24\) −4.55526 + 1.80267i −0.929838 + 0.367968i
\(25\) −1.61729 3.90447i −0.323457 0.780895i
\(26\) −0.486353 1.60713i −0.0953816 0.315183i
\(27\) 4.15048 3.12626i 0.798761 0.601648i
\(28\) −0.701171 + 3.50075i −0.132509 + 0.661580i
\(29\) −8.74967 1.74042i −1.62477 0.323188i −0.703081 0.711109i \(-0.748193\pi\)
−0.921692 + 0.387922i \(0.873193\pi\)
\(30\) 2.00252 0.795538i 0.365609 0.145245i
\(31\) 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
\(36\) −2.13384 5.60774i −0.355641 0.934623i
\(37\) −2.69661 1.80182i −0.443320 0.296217i 0.313805 0.949488i \(-0.398396\pi\)
−0.757124 + 0.653271i \(0.773396\pi\)
\(38\) 2.12523 + 7.02271i 0.344758 + 1.13923i
\(39\) 1.97602 0.569579i 0.316417 0.0912056i
\(40\) −0.238950 2.47660i −0.0377813 0.391584i
\(41\) 9.64627 + 3.99562i 1.50649 + 0.624011i 0.974831 0.222945i \(-0.0715670\pi\)
0.531664 + 0.846955i \(0.321567\pi\)
\(42\) −4.27580 0.915375i −0.659770 0.141245i
\(43\) −0.964098 4.84685i −0.147024 0.739138i −0.982004 0.188858i \(-0.939521\pi\)
0.834981 0.550279i \(-0.185479\pi\)
\(44\) 1.51762 3.65015i 0.228790 0.550282i
\(45\) 0.941815 + 2.46525i 0.140397 + 0.367497i
\(46\) 3.60660 4.38872i 0.531764 0.647081i
\(47\) −2.39391 2.39391i −0.349187 0.349187i 0.510620 0.859807i \(-0.329416\pi\)
−0.859807 + 0.510620i \(0.829416\pi\)
\(48\) −6.90513 + 0.564960i −0.996670 + 0.0815450i
\(49\) 2.69639 2.69639i 0.385199 0.385199i
\(50\) −0.581876 5.94832i −0.0822896 0.841219i
\(51\) 3.33993 + 6.46286i 0.467683 + 0.904982i
\(52\) 0.00314928 2.37461i 0.000436726 0.329299i
\(53\) −13.1496 + 2.61561i −1.80623 + 0.359282i −0.979205 0.202876i \(-0.934971\pi\)
−0.827030 + 0.562158i \(0.809971\pi\)
\(54\) 6.90200 2.52237i 0.939244 0.343251i
\(55\) −0.665376 + 1.60636i −0.0897192 + 0.216601i
\(56\) −2.38900 + 4.44820i −0.319244 + 0.594416i
\(57\) −8.63469 + 2.48890i −1.14369 + 0.329663i
\(58\) −11.1227 5.95467i −1.46048 0.781887i
\(59\) −5.24528 + 7.85011i −0.682877 + 1.02200i 0.314474 + 0.949266i \(0.398172\pi\)
−0.997352 + 0.0727319i \(0.976828\pi\)
\(60\) 3.03680 0.252518i 0.392050 0.0326000i
\(61\) 4.01516 + 0.798665i 0.514088 + 0.102259i 0.445315 0.895374i \(-0.353092\pi\)
0.0687730 + 0.997632i \(0.478092\pi\)
\(62\) 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
\(66\) 4.44554 + 1.91765i 0.547208 + 0.236046i
\(67\) −1.21588 + 6.11263i −0.148543 + 0.746777i 0.832658 + 0.553788i \(0.186818\pi\)
−0.981201 + 0.192989i \(0.938182\pi\)
\(68\) 8.24105 1.62789i 0.999374 0.197410i
\(69\) 5.31618 + 4.48786i 0.639993 + 0.540274i
\(70\) 1.04818 1.95788i 0.125281 0.234011i
\(71\) −8.97139 + 3.71607i −1.06471 + 0.441017i −0.845120 0.534576i \(-0.820471\pi\)
−0.219588 + 0.975593i \(0.570471\pi\)
\(72\) −0.580043 8.46543i −0.0683587 0.997661i
\(73\) −3.96854 1.64382i −0.464482 0.192395i 0.138154 0.990411i \(-0.455883\pi\)
−0.602636 + 0.798016i \(0.705883\pi\)
\(74\) −2.90733 3.54738i −0.337970 0.412375i
\(75\) 7.29396 0.616254i 0.842234 0.0711589i
\(76\) −0.0137615 + 10.3764i −0.00157855 + 1.19026i
\(77\) 2.93375 1.96027i 0.334332 0.223394i
\(78\) 2.90799 + 0.0423136i 0.329265 + 0.00479108i
\(79\) 3.91615 + 3.91615i 0.440601 + 0.440601i 0.892214 0.451613i \(-0.149151\pi\)
−0.451613 + 0.892214i \(0.649151\pi\)
\(80\) 0.695616 3.44926i 0.0777722 0.385639i
\(81\) 2.97721 + 8.49330i 0.330801 + 0.943701i
\(82\) 11.4080 + 9.37494i 1.25980 + 1.03529i
\(83\) −7.85219 + 5.24667i −0.861890 + 0.575897i −0.906070 0.423127i \(-0.860932\pi\)
0.0441802 + 0.999024i \(0.485932\pi\)
\(84\) −5.40874 2.99770i −0.590142 0.327076i
\(85\) −3.62377 + 0.720813i −0.393053 + 0.0781831i
\(86\) 0.689631 6.95466i 0.0743648 0.749940i
\(87\) 7.47245 13.5248i 0.801131 1.45001i
\(88\) 3.55516 4.31444i 0.378981 0.459921i
\(89\) −7.76699 + 3.21719i −0.823299 + 0.341022i −0.754246 0.656591i \(-0.771998\pi\)
−0.0690524 + 0.997613i \(0.521998\pi\)
\(90\) 0.260062 + 3.72307i 0.0274130 + 0.392446i
\(91\) 1.17754 1.76231i 0.123439 0.184740i
\(92\) 6.68551 4.45430i 0.697013 0.464393i
\(93\) −1.39947 + 4.39289i −0.145118 + 0.455522i
\(94\) −2.25416 4.22397i −0.232499 0.435669i
\(95\) 4.56394i 0.468250i
\(96\) −9.57539 2.07650i −0.977284 0.211932i
\(97\) 2.84961i 0.289335i 0.989480 + 0.144667i \(0.0462112\pi\)
−0.989480 + 0.144667i \(0.953789\pi\)
\(98\) 4.75769 2.53899i 0.480600 0.256476i
\(99\) −2.42042 + 5.41312i −0.243261 + 0.544039i
\(100\) 1.65996 8.28774i 0.165996 0.828774i
\(101\) 3.25049 4.86470i 0.323436 0.484056i −0.633747 0.773540i \(-0.718484\pi\)
0.957183 + 0.289485i \(0.0934839\pi\)
\(102\) 1.86011 + 10.1187i 0.184178 + 1.00190i
\(103\) −14.4703 + 5.99378i −1.42580 + 0.590585i −0.956310 0.292354i \(-0.905562\pi\)
−0.469488 + 0.882939i \(0.655562\pi\)
\(104\) 0.981228 3.21166i 0.0962173 0.314929i
\(105\) 2.38072 + 1.31535i 0.232334 + 0.128365i
\(106\) −18.8681 1.87098i −1.83263 0.181726i
\(107\) 10.5840 2.10528i 1.02319 0.203525i 0.345149 0.938548i \(-0.387829\pi\)
0.678042 + 0.735023i \(0.262829\pi\)
\(108\) 10.3765 0.573244i 0.998478 0.0551605i
\(109\) 13.0385 8.71203i 1.24886 0.834461i 0.257582 0.966256i \(-0.417074\pi\)
0.991277 + 0.131795i \(0.0420742\pi\)
\(110\) −1.56117 + 1.89973i −0.148852 + 0.181132i
\(111\) 4.39134 3.50297i 0.416808 0.332487i
\(112\) −5.06252 + 5.03573i −0.478363 + 0.475832i
\(113\) 3.65177 + 3.65177i 0.343529 + 0.343529i 0.857692 0.514163i \(-0.171897\pi\)
−0.514163 + 0.857692i \(0.671897\pi\)
\(114\) −12.7071 0.184899i −1.19013 0.0173174i
\(115\) −2.93794 + 1.96307i −0.273964 + 0.183057i
\(116\) −12.5996 12.6330i −1.16984 1.17295i
\(117\) −0.0989138 + 3.56055i −0.00914459 + 0.329173i
\(118\) −10.3268 + 8.46354i −0.950660 + 0.779132i
\(119\) 6.92711 + 2.86930i 0.635007 + 0.263029i
\(120\) 4.21282 + 0.907738i 0.384576 + 0.0828648i
\(121\) 6.55336 2.71449i 0.595760 0.246772i
\(122\) 5.10410 + 2.73255i 0.462104 + 0.247394i
\(123\) −11.6657 + 13.8188i −1.05186 + 1.24600i
\(124\) 4.42254 + 2.96354i 0.397155 + 0.266133i
\(125\) −1.58336 + 7.96009i −0.141620 + 0.711972i
\(126\) 3.75869 6.57521i 0.334851 0.585766i
\(127\) 5.00869i 0.444449i 0.974995 + 0.222225i \(0.0713318\pi\)
−0.974995 + 0.222225i \(0.928668\pi\)
\(128\) −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 \(-0.163564\pi\)
0.616464 + 0.787383i \(0.288564\pi\)
\(132\) 5.22606 + 4.42366i 0.454870 + 0.385030i
\(133\) −5.14552 + 7.70081i −0.446173 + 0.667745i
\(134\) −4.16001 + 7.77043i −0.359370 + 0.671263i
\(135\) −4.56363 + 0.258187i −0.392775 + 0.0222212i
\(136\) 11.8203 + 1.18794i 1.01358 + 0.101865i
\(137\) 5.61514 13.5561i 0.479733 1.15818i −0.480001 0.877268i \(-0.659364\pi\)
0.959734 0.280911i \(-0.0906365\pi\)
\(138\) 5.34663 + 8.25947i 0.455136 + 0.703093i
\(139\) −14.3788 + 2.86012i −1.21959 + 0.242592i −0.762595 0.646876i \(-0.776075\pi\)
−0.456998 + 0.889468i \(0.651075\pi\)
\(140\) 2.22374 2.21785i 0.187941 0.187443i
\(141\) 5.20934 2.69212i 0.438706 0.226718i
\(142\) −13.6676 + 1.33699i −1.14696 + 0.112198i
\(143\) −1.65941 + 1.65941i −0.138767 + 0.138767i
\(144\) 2.69804 11.6928i 0.224837 0.974396i
\(145\) 5.54913 + 5.54913i 0.460830 + 0.460830i
\(146\) −4.69331 3.85691i −0.388421 0.319200i
\(147\) 3.03229 + 5.86757i 0.250099 + 0.483949i
\(148\) −2.47428 5.99591i −0.203384 0.492861i
\(149\) 0.129066 + 0.648857i 0.0105735 + 0.0531564i 0.985712 0.168440i \(-0.0538731\pi\)
−0.975138 + 0.221597i \(0.928873\pi\)
\(150\) 10.1226 + 2.16707i 0.826507 + 0.176941i
\(151\) −22.6443 9.37957i −1.84277 0.763299i −0.949496 0.313779i \(-0.898405\pi\)
−0.893270 0.449520i \(-0.851595\pi\)
\(152\) −4.28770 + 14.0341i −0.347778 + 1.13832i
\(153\) −12.4218 + 2.11409i −1.00424 + 0.170914i
\(154\) 4.77600 1.44533i 0.384861 0.116468i
\(155\) −1.94692 1.30089i −0.156381 0.104490i
\(156\) 3.91723 + 1.25366i 0.313629 + 0.100373i
\(157\) 4.05454 20.3835i 0.323587 1.62678i −0.386234 0.922401i \(-0.626224\pi\)
0.709821 0.704382i \(-0.248776\pi\)
\(158\) 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
\(162\) 0.533969 + 12.7167i 0.0419526 + 0.999120i
\(163\) 5.41447 + 1.07701i 0.424094 + 0.0843576i 0.402523 0.915410i \(-0.368133\pi\)
0.0215710 + 0.999767i \(0.493133\pi\)
\(164\) 11.5784 + 17.3782i 0.904124 + 1.35701i
\(165\) −2.30119 1.94264i −0.179148 0.151234i
\(166\) −12.7830 + 3.86842i −0.992151 + 0.300247i
\(167\) 2.33305 + 5.63248i 0.180537 + 0.435854i 0.988077 0.153958i \(-0.0492019\pi\)
−0.807541 + 0.589812i \(0.799202\pi\)
\(168\) −6.08496 6.28130i −0.469465 0.484613i
\(169\) 4.43542 10.7080i 0.341186 0.823696i
\(170\) −5.19968 0.515606i −0.398798 0.0395452i
\(171\) 0.432227 15.5586i 0.0330532 1.18980i
\(172\) 3.79440 9.12624i 0.289320 0.695869i
\(173\) −6.81742 10.2030i −0.518318 0.775718i 0.476305 0.879280i \(-0.341976\pi\)
−0.994623 + 0.103562i \(0.966976\pi\)
\(174\) 15.6750 15.2253i 1.18832 1.15423i
\(175\) 5.33463 5.33463i 0.403260 0.403260i
\(176\) 6.58535 4.37497i 0.496389 0.329776i
\(177\) −10.1975 12.7837i −0.766493 0.960879i
\(178\) −11.8327 + 1.15750i −0.886899 + 0.0867581i
\(179\) −8.68204 12.9936i −0.648926 0.971186i −0.999401 0.0346142i \(-0.988980\pi\)
0.350475 0.936572i \(-0.386020\pi\)
\(180\) −1.17988 + 5.14448i −0.0879429 + 0.383447i
\(181\) 4.53048 + 22.7763i 0.336748 + 1.69295i 0.663775 + 0.747932i \(0.268953\pi\)
−0.327027 + 0.945015i \(0.606047\pi\)
\(182\) 2.31831 1.90002i 0.171845 0.140839i
\(183\) −3.42905 + 6.20643i −0.253483 + 0.458792i
\(184\) 10.8784 3.27631i 0.801966 0.241533i
\(185\) 1.09178 + 2.63578i 0.0802689 + 0.193786i
\(186\) −3.70088 + 5.36801i −0.271362 + 0.393602i
\(187\) −6.90265 4.61220i −0.504772 0.337278i
\(188\) −1.31215 6.64264i −0.0956981 0.484464i
\(189\) 7.99137 + 4.70952i 0.581287 + 0.342567i
\(190\) 1.87770 6.17522i 0.136223 0.447997i
\(191\) −6.04402 −0.437330 −0.218665 0.975800i \(-0.570170\pi\)
−0.218665 + 0.975800i \(0.570170\pi\)
\(192\) −12.1016 6.74913i −0.873359 0.487077i
\(193\) 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
\(195\) −1.72367 0.549122i −0.123435 0.0393234i
\(196\) 7.48197 1.47794i 0.534426 0.105567i
\(197\) 4.33698 + 2.89788i 0.308997 + 0.206465i 0.700393 0.713757i \(-0.253008\pi\)
−0.391396 + 0.920222i \(0.628008\pi\)
\(198\) −5.50201 + 6.32838i −0.391011 + 0.449739i
\(199\) −4.67695 11.2912i −0.331540 0.800409i −0.998470 0.0552885i \(-0.982392\pi\)
0.666930 0.745120i \(-0.267608\pi\)
\(200\) 5.65576 10.5307i 0.399923 0.744636i
\(201\) −9.44859 5.22035i −0.666452 0.368215i
\(202\) 6.39950 5.24484i 0.450267 0.369026i
\(203\) −3.10689 15.6194i −0.218061 1.09627i
\(204\) −1.64623 + 14.4563i −0.115259 + 1.01214i
\(205\) −5.10276 7.63683i −0.356393 0.533379i
\(206\) −22.0449 + 2.15648i −1.53594 + 0.150249i
\(207\) −10.2014 + 6.41393i −0.709049 + 0.445799i
\(208\) 2.64899 3.94182i 0.183675 0.273316i
\(209\) 7.25116 7.25116i 0.501573 0.501573i
\(210\) 2.68005 + 2.75920i 0.184941 + 0.190403i
\(211\) −1.47845 2.21265i −0.101780 0.152325i 0.777084 0.629397i \(-0.216698\pi\)
−0.878864 + 0.477072i \(0.841698\pi\)
\(212\) −24.7596 10.2943i −1.70050 0.707014i
\(213\) −1.41598 16.7595i −0.0970213 1.14834i
\(214\) 15.1868 + 1.50593i 1.03814 + 0.102943i
\(215\) −1.66359 + 4.01627i −0.113456 + 0.273908i
\(216\) 14.2757 + 3.49349i 0.971338 + 0.237702i
\(217\) 1.81841 + 4.39004i 0.123442 + 0.298015i
\(218\) 21.2260 6.42346i 1.43760 0.435052i
\(219\) 4.79933 5.68514i 0.324308 0.384166i
\(220\) −2.89393 + 1.92811i −0.195109 + 0.129993i
\(221\) −4.89104 0.972888i −0.329007 0.0654435i
\(222\) 7.38289 2.93299i 0.495507 0.196849i
\(223\) 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 −0.613754 0.789497i \(-0.710341\pi\)
0.869162 0.494527i \(-0.164659\pi\)
\(228\) −17.1172 5.47816i −1.13362 0.362800i
\(229\) 14.0022 + 9.35598i 0.925292 + 0.618260i 0.924270 0.381739i \(-0.124675\pi\)
0.00102184 + 0.999999i \(0.499675\pi\)
\(230\) −4.78281 + 1.44739i −0.315369 + 0.0954379i
\(231\) 1.69265 + 5.87228i 0.111368 + 0.386368i
\(232\) −11.8503 22.2768i −0.778010 1.46255i
\(233\) 17.8878 + 7.40939i 1.17187 + 0.485405i 0.881811 0.471603i \(-0.156325\pi\)
0.290061 + 0.957008i \(0.406325\pi\)
\(234\) −1.59872 + 4.77688i −0.104512 + 0.312275i
\(235\) 0.581006 + 2.92091i 0.0379006 + 0.190539i
\(236\) −17.4547 + 7.20288i −1.13621 + 0.468867i
\(237\) −8.52186 + 4.40399i −0.553554 + 0.286070i
\(238\) 8.19220 + 6.73226i 0.531022 + 0.436388i
\(239\) 21.3101 + 21.3101i 1.37844 + 1.37844i 0.847265 + 0.531171i \(0.178248\pi\)
0.531171 + 0.847265i \(0.321752\pi\)
\(240\) 5.32668 + 2.96146i 0.343836 + 0.191161i
\(241\) −13.2100 + 13.2100i −0.850928 + 0.850928i −0.990248 0.139319i \(-0.955509\pi\)
0.139319 + 0.990248i \(0.455509\pi\)
\(242\) 9.98379 0.976633i 0.641782 0.0627804i
\(243\) −15.5820 + 0.447971i −0.999587 + 0.0287374i
\(244\) 5.78185 + 5.79721i 0.370145 + 0.371128i
\(245\) −3.28999 + 0.654419i −0.210189 + 0.0418093i
\(246\) −21.4695 + 13.8980i −1.36885 + 0.886101i
\(247\) 2.35733 5.69109i 0.149993 0.362116i
\(248\) 4.76463 + 5.82933i 0.302554 + 0.370163i
\(249\) −4.53039 15.7172i −0.287102 0.996034i
\(250\) −5.41731 + 10.1189i −0.342621 + 0.639977i
\(251\) 7.74513 11.5914i 0.488868 0.731643i −0.502236 0.864731i \(-0.667489\pi\)
0.991104 + 0.133088i \(0.0424892\pi\)
\(252\) 7.79087 7.35014i 0.490778 0.463016i
\(253\) −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 \(0.875710\pi\)
\(258\) 11.1149 + 4.79457i 0.691983 + 0.298497i
\(259\) 1.12948 5.67829i 0.0701827 0.352832i
\(260\) −1.16283 + 1.73531i −0.0721154 + 0.107619i
\(261\) 18.3917 + 19.4427i 1.13842 + 1.20347i
\(262\) 21.6400 + 11.5853i 1.33692 + 0.715741i
\(263\) −17.5876 + 7.28501i −1.08450 + 0.449213i −0.852084 0.523404i \(-0.824662\pi\)
−0.232412 + 0.972617i \(0.574662\pi\)
\(264\) 5.25110 + 8.13552i 0.323183 + 0.500707i
\(265\) 10.8962 + 4.51336i 0.669349 + 0.277254i
\(266\) −10.1304 + 8.30257i −0.621135 + 0.509063i
\(267\) −1.22588 14.5095i −0.0750229 0.887969i
\(268\) −8.82560 + 8.80223i −0.539110 + 0.537681i
\(269\) 17.2261 11.5101i 1.05030 0.701786i 0.0944132 0.995533i \(-0.469903\pi\)
0.955883 + 0.293748i \(0.0949025\pi\)
\(270\) −6.28102 1.52824i −0.382251 0.0930056i
\(271\) 11.2337 + 11.2337i 0.682398 + 0.682398i 0.960540 0.278142i \(-0.0897185\pi\)
−0.278142 + 0.960540i \(0.589719\pi\)
\(272\) 15.5046 + 6.47045i 0.940105 + 0.392329i
\(273\) 2.28929 + 2.86986i 0.138554 + 0.173692i
\(274\) 13.1748 16.0319i 0.795920 0.968521i
\(275\) −6.94542 + 4.64078i −0.418825 + 0.279850i
\(276\) 3.83611 + 13.3752i 0.230907 + 0.805090i
\(277\) −4.73459 + 0.941769i −0.284474 + 0.0565854i −0.335265 0.942124i \(-0.608826\pi\)
0.0507908 + 0.998709i \(0.483826\pi\)
\(278\) −20.6319 2.04588i −1.23742 0.122704i
\(279\) −6.51393 4.61917i −0.389979 0.276543i
\(280\) 3.92130 2.08596i 0.234343 0.124660i
\(281\) −16.5631 + 6.86065i −0.988070 + 0.409272i −0.817409 0.576058i \(-0.804590\pi\)
−0.170661 + 0.985330i \(0.554590\pi\)
\(282\) 8.15607 1.49933i 0.485687 0.0892836i
\(283\) −10.5394 + 15.7733i −0.626502 + 0.937626i 0.373448 + 0.927651i \(0.378175\pi\)
−0.999950 + 0.00997536i \(0.996825\pi\)
\(284\) −19.0429 3.81413i −1.12999 0.226327i
\(285\) 7.53199 + 2.39951i 0.446157 + 0.142135i
\(286\) −2.92797 + 1.56254i −0.173134 + 0.0923947i
\(287\) 18.6387i 1.10021i
\(288\) 8.46123 14.7108i 0.498583 0.866842i
\(289\) 0.641229i 0.0377193i
\(290\) 5.22520 + 9.79127i 0.306834 + 0.574963i
\(291\) −4.70280 1.49820i −0.275683 0.0878261i
\(292\) −4.76344 7.14951i −0.278759 0.418393i
\(293\) −1.04807 + 1.56854i −0.0612286 + 0.0916351i −0.860821 0.508909i \(-0.830049\pi\)
0.799592 + 0.600544i \(0.205049\pi\)
\(294\) 1.68877 + 9.18664i 0.0984914 + 0.535776i
\(295\) 7.67304 3.17828i 0.446741 0.185046i
\(296\) −0.880959 9.13071i −0.0512047 0.530712i
\(297\) −7.66087 6.84046i −0.444529 0.396924i
\(298\) −0.0923222 + 0.931033i −0.00534808 + 0.0539333i
\(299\) −4.67747 + 0.930406i −0.270505 + 0.0538068i
\(300\) 12.8048 + 7.09681i 0.739283 + 0.409734i
\(301\) 7.33507 4.90114i 0.422787 0.282497i
\(302\) −26.7798 22.0073i −1.54100 1.26638i
\(303\) 6.31939 + 7.92201i 0.363039 + 0.455108i
\(304\) −11.5754 + 17.2247i −0.663894 + 0.987905i
\(305\) −2.54646 2.54646i −0.145810 0.145810i
\(306\) −17.6771 2.25015i −1.01053 0.128633i
\(307\) 18.7859 12.5523i 1.07217 0.716398i 0.111405 0.993775i \(-0.464465\pi\)
0.960761 + 0.277377i \(0.0894650\pi\)
\(308\) 7.05679 + 0.00935891i 0.402098 + 0.000533274i
\(309\) −2.28388 27.0320i −0.129926 1.53779i
\(310\) −2.09906 2.56117i −0.119219 0.145465i
\(311\) 22.2263 + 9.20645i 1.26034 + 0.522050i 0.910014 0.414578i \(-0.136071\pi\)
0.350326 + 0.936628i \(0.386071\pi\)
\(312\) 4.78441 + 3.30790i 0.270864 + 0.187273i
\(313\) −0.620600 + 0.257061i −0.0350784 + 0.0145300i −0.400154 0.916448i \(-0.631043\pi\)
0.365075 + 0.930978i \(0.381043\pi\)
\(314\) 13.8722 25.9117i 0.782853 1.46228i
\(315\) −3.42242 + 3.23741i −0.192832 + 0.182407i
\(316\) 2.14652 + 10.8666i 0.120751 + 0.611292i
\(317\) −4.99544 + 25.1138i −0.280572 + 1.41053i 0.541287 + 0.840838i \(0.317937\pi\)
−0.821858 + 0.569692i \(0.807063\pi\)
\(318\) 13.0077 30.1549i 0.729438 1.69100i
\(319\) 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
\(324\) −4.50945 + 17.4260i −0.250525 + 0.968110i
\(325\) −2.78772 + 4.17212i −0.154635 + 0.231427i
\(326\) 6.88293 + 3.68487i 0.381210 + 0.204086i
\(327\) 7.52265 + 26.0981i 0.416004 + 1.44323i
\(328\) 8.51638 + 28.2771i 0.470238 + 1.56134i
\(329\) 2.31278 5.58355i 0.127508 0.307831i
\(330\) −2.31438 3.57524i −0.127402 0.196811i
\(331\) 5.77655 1.14903i 0.317508 0.0631563i −0.0337636 0.999430i \(-0.510749\pi\)
0.351272 + 0.936274i \(0.385749\pi\)
\(332\) −18.8875 0.0250491i −1.03659 0.00137475i
\(333\) 3.47228 + 9.08886i 0.190280 + 0.498067i
\(334\) 0.839396 + 8.58086i 0.0459297 + 0.469524i
\(335\) 3.87669 3.87669i 0.211806 0.211806i
\(336\) −5.64896 11.0024i −0.308176 0.600229i
\(337\) −22.1894 22.1894i −1.20873 1.20873i −0.971438 0.237295i \(-0.923739\pi\)
−0.237295 0.971438i \(-0.576261\pi\)
\(338\) 10.4068 12.6636i 0.566058 0.688811i
\(339\) −7.94654 + 4.10667i −0.431597 + 0.223044i
\(340\) −6.82328 2.83690i −0.370044 0.153853i
\(341\) −1.02641 5.16011i −0.0555832 0.279436i
\(342\) 6.98598 20.8737i 0.377759 1.12872i
\(343\) 17.8338 + 7.38702i 0.962937 + 0.398862i
\(344\) 8.88873 10.7871i 0.479248 0.581603i
\(345\) −1.69507 5.88065i −0.0912594 0.316604i
\(346\) −5.02654 16.6099i −0.270229 0.892956i
\(347\) 3.29006 + 2.19835i 0.176620 + 0.118014i 0.640738 0.767760i \(-0.278629\pi\)
−0.464118 + 0.885773i \(0.653629\pi\)
\(348\) 27.4730 14.1515i 1.47271 0.758603i
\(349\) −0.572654 + 2.87892i −0.0306534 + 0.154105i −0.993081 0.117435i \(-0.962533\pi\)
0.962427 + 0.271540i \(0.0875329\pi\)
\(350\) 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 \(-0.651221\pi\)
−0.457404 + 0.889259i \(0.651221\pi\)
\(354\) −8.53824 21.4924i −0.453802 1.14231i
\(355\) 8.37800 + 1.66649i 0.444658 + 0.0884480i
\(356\) −16.4864 3.30209i −0.873778 0.175010i
\(357\) −8.37726 + 9.92345i −0.443371 + 0.525205i
\(358\) −6.40135 21.1529i −0.338322 1.11797i
\(359\) 0.573946 + 1.38563i 0.0302917 + 0.0731307i 0.938302 0.345818i \(-0.112399\pi\)
−0.908010 + 0.418949i \(0.862399\pi\)
\(360\) −3.71298 + 6.47529i −0.195691 + 0.341278i
\(361\) −3.02990 + 7.31483i −0.159468 + 0.384991i
\(362\) −3.24071 + 32.6813i −0.170328 + 1.71769i
\(363\) 1.03433 + 12.2423i 0.0542885 + 0.642556i
\(364\) 3.91849 1.61701i 0.205385 0.0847542i
\(365\) 2.09931 + 3.14184i 0.109883 + 0.164451i
\(366\) −7.19312 + 6.98679i −0.375990 + 0.365205i
\(367\) −0.597848 + 0.597848i −0.0312074 + 0.0312074i −0.722538 0.691331i \(-0.757025\pi\)
0.691331 + 0.722538i \(0.257025\pi\)
\(368\) 16.0669 + 0.0426169i 0.837546 + 0.00222156i
\(369\) −16.6723 26.5175i −0.867923 1.38044i
\(370\) 0.392805 + 4.01551i 0.0204209 + 0.208756i
\(371\) −13.2969 19.9002i −0.690339 1.03317i
\(372\) −7.21598 + 5.74054i −0.374131 + 0.297633i
\(373\) −0.819626 4.12054i −0.0424386 0.213353i 0.953747 0.300610i \(-0.0971901\pi\)
−0.996186 + 0.0872563i \(0.972190\pi\)
\(374\) −7.44204 9.08042i −0.384819 0.469537i
\(375\) −12.3043 6.79812i −0.635391 0.351053i
\(376\) 0.957531 9.52763i 0.0493809 0.491350i
\(377\) 4.05341 + 9.78579i 0.208761 + 0.503994i
\(378\) 8.87509 + 9.66002i 0.456485 + 0.496858i
\(379\) 15.5395 + 10.3832i 0.798210 + 0.533347i 0.886489 0.462749i \(-0.153137\pi\)
−0.0882793 + 0.996096i \(0.528137\pi\)
\(380\) 5.08124 7.58282i 0.260662 0.388990i
\(381\) −8.26598 2.63335i −0.423479 0.134910i
\(382\) −8.17783 2.48664i −0.418414 0.127228i
\(383\) −33.7000 −1.72199 −0.860995 0.508614i \(-0.830158\pi\)
−0.860995 + 0.508614i \(0.830158\pi\)
\(384\) −13.5973 14.1108i −0.693885 0.720086i
\(385\) −3.10384 −0.158186
\(386\) 2.54738 + 0.774585i 0.129658 + 0.0394253i
\(387\) −6.05161 + 13.5341i −0.307621 + 0.687975i
\(388\) −3.17260 + 4.73453i −0.161065 + 0.240359i
\(389\) 8.49069 + 5.67330i 0.430495 + 0.287648i 0.751879 0.659301i \(-0.229148\pi\)
−0.321384 + 0.946949i \(0.604148\pi\)
\(390\) −2.10629 1.45214i −0.106656 0.0735322i
\(391\) −6.45622 15.5867i −0.326505 0.788252i
\(392\) 10.7315 + 1.07852i 0.542023 + 0.0544735i
\(393\) −14.5382 + 26.3135i −0.733357 + 1.32734i
\(394\) 4.67588 + 5.70529i 0.235567 + 0.287428i
\(395\) −0.950456 4.77827i −0.0478226 0.240421i
\(396\) −10.0481 + 6.29894i −0.504936 + 0.316534i
\(397\) −8.55063 12.7969i −0.429144 0.642259i 0.552381 0.833592i \(-0.313719\pi\)
−0.981525 + 0.191332i \(0.938719\pi\)
\(398\) −1.68270 17.2016i −0.0843460 0.862240i
\(399\) −10.0036 12.5405i −0.500805 0.627812i
\(400\) 11.9851 11.9217i 0.599254 0.596084i
\(401\) 11.2667 11.2667i 0.562633 0.562633i −0.367422 0.930054i \(-0.619759\pi\)
0.930054 + 0.367422i \(0.119759\pi\)
\(402\) −10.6366 10.9507i −0.530506 0.546172i
\(403\) −1.75583 2.62778i −0.0874641 0.130899i
\(404\) 10.8167 4.46361i 0.538149 0.222073i
\(405\) 1.97326 7.66722i 0.0980520 0.380987i
\(406\) 2.22240 22.4120i 0.110296 1.11229i
\(407\) −2.45310 + 5.92232i −0.121596 + 0.293558i
\(408\) −8.17506 + 18.8827i −0.404726 + 0.934835i
\(409\) 0.575698 + 1.38986i 0.0284664 + 0.0687240i 0.937474 0.348057i \(-0.113158\pi\)
−0.909007 + 0.416781i \(0.863158\pi\)
\(410\) −3.76231 12.4324i −0.185807 0.613991i
\(411\) 19.4199 + 16.3940i 0.957912 + 0.808658i
\(412\) −30.7150 6.15195i −1.51322 0.303085i
\(413\) −16.5301 3.28805i −0.813394 0.161794i
\(414\) −16.4418 + 4.48124i −0.808073 + 0.220241i
\(415\) 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 0.788727 + 0.614744i \(0.210741\pi\)
−0.963941 + 0.266116i \(0.914259\pi\)
\(420\) 2.49104 + 4.83596i 0.121550 + 0.235970i
\(421\) −19.2955 12.8928i −0.940404 0.628358i −0.0119989 0.999928i \(-0.503819\pi\)
−0.928405 + 0.371570i \(0.878819\pi\)
\(422\) −1.09007 3.60208i −0.0530639 0.175347i
\(423\) 1.70404 + 10.0125i 0.0828535 + 0.486825i
\(424\) −29.2656 24.1153i −1.42126 1.17114i
\(425\) −16.3994 6.79284i −0.795486 0.329501i
\(426\) 4.97933 23.2589i 0.241249 1.12690i
\(427\) 1.42573 + 7.16762i 0.0689959 + 0.346866i
\(428\) 19.9288 + 8.28576i 0.963294 + 0.400507i
\(429\) −1.86612 3.61101i −0.0900972 0.174341i
\(430\) −3.90330 + 4.74976i −0.188234 + 0.229054i
\(431\) 14.3376 + 14.3376i 0.690617 + 0.690617i 0.962368 0.271751i \(-0.0876026\pi\)
−0.271751 + 0.962368i \(0.587603\pi\)
\(432\) 17.8784 + 10.6002i 0.860174 + 0.510001i
\(433\) 0.421381 0.421381i 0.0202503 0.0202503i −0.696909 0.717159i \(-0.745442\pi\)
0.717159 + 0.696909i \(0.245442\pi\)
\(434\) 0.654238 + 6.68805i 0.0314044 + 0.321037i
\(435\) −12.0754 + 6.24040i −0.578970 + 0.299204i
\(436\) 31.3624 + 0.0415938i 1.50199 + 0.00199198i
\(437\) 20.4393 4.06562i 0.977743 0.194485i
\(438\) 8.83270 5.71771i 0.422043 0.273203i
\(439\) −1.36422 + 3.29352i −0.0651108 + 0.157191i −0.953086 0.302701i \(-0.902112\pi\)
0.887975 + 0.459892i \(0.152112\pi\)
\(440\) −4.70889 + 1.41820i −0.224487 + 0.0676101i
\(441\) −11.2777 + 1.91936i −0.537031 + 0.0913981i
\(442\) −6.21753 3.32864i −0.295738 0.158327i
\(443\) 2.11097 3.15928i 0.100295 0.150102i −0.777928 0.628353i \(-0.783729\pi\)
0.878223 + 0.478251i \(0.158729\pi\)
\(444\) 11.1961 0.930984i 0.531342 0.0441825i
\(445\) 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 \(0.738194\pi\)
\(450\) −8.89839 + 15.5662i −0.419474 + 0.733800i
\(451\) 4.02610 20.2406i 0.189582 0.953092i
\(452\) 2.00160 + 10.1330i 0.0941475 + 0.476614i
\(453\) 27.3847 32.4391i 1.28665 1.52412i
\(454\) 13.1659 24.5925i 0.617908 1.15418i
\(455\) −1.72255 + 0.713505i −0.0807546 + 0.0334496i
\(456\) −20.9066 14.4546i −0.979040 0.676899i
\(457\) 0.554573 + 0.229712i 0.0259419 + 0.0107455i 0.395617 0.918416i \(-0.370531\pi\)
−0.369675 + 0.929161i \(0.620531\pi\)
\(458\) 15.0964 + 18.4199i 0.705407 + 0.860704i
\(459\) 3.04190 21.6116i 0.141984 1.00874i
\(460\) −7.06685 0.00937226i −0.329494 0.000436984i
\(461\) 25.4530 17.0072i 1.18547 0.792103i 0.203116 0.979155i \(-0.434893\pi\)
0.982350 + 0.187052i \(0.0598932\pi\)
\(462\) −0.125746 + 8.64186i −0.00585024 + 0.402056i
\(463\) −5.70209 5.70209i −0.264999 0.264999i 0.562083 0.827081i \(-0.310000\pi\)
−0.827081 + 0.562083i \(0.810000\pi\)
\(464\) −6.86882 35.0170i −0.318877 1.62563i
\(465\) 3.17051 2.52911i 0.147029 0.117285i
\(466\) 21.1547 + 17.3847i 0.979971 + 0.805330i
\(467\) 5.75749 3.84703i 0.266425 0.178019i −0.415181 0.909739i \(-0.636282\pi\)
0.681606 + 0.731719i \(0.261282\pi\)
\(468\) −4.12846 + 5.80559i −0.190838 + 0.268364i
\(469\) −10.9119 + 2.17051i −0.503865 + 0.100225i
\(470\) −0.415600 + 4.19117i −0.0191702 + 0.193324i
\(471\) 31.5078 + 17.4081i 1.45180 + 0.802121i
\(472\) −26.5805 + 2.56457i −1.22346 + 0.118044i
\(473\) −9.02414 + 3.73792i −0.414931 + 0.171870i
\(474\) −13.3424 + 2.45272i −0.612835 + 0.112657i
\(475\) 12.1816 18.2310i 0.558929 0.836497i
\(476\) 8.31462 + 12.4795i 0.381100 + 0.571997i
\(477\) 36.7181 + 16.4181i 1.68121 + 0.751734i
\(478\) 20.0661 + 37.6010i 0.917802 + 1.71983i
\(479\) 17.0790i 0.780358i −0.920739 0.390179i \(-0.872413\pi\)
0.920739 0.390179i \(-0.127587\pi\)
\(480\) 5.98883 + 6.19850i 0.273351 + 0.282922i
\(481\) 3.85065i 0.175575i
\(482\) −23.3085 + 12.4388i −1.06167 + 0.566572i
\(483\) −3.76990 + 11.8336i −0.171537 + 0.538447i
\(484\) 13.9103 + 2.78612i 0.632288 + 0.126642i
\(485\) 1.39267 2.08427i 0.0632378 0.0946420i
\(486\) −21.2675 5.80466i −0.964713 0.263305i
\(487\) 15.8723 6.57454i 0.719245 0.297921i 0.00712078 0.999975i \(-0.497733\pi\)
0.712124 + 0.702054i \(0.247733\pi\)
\(488\) 5.43801 + 10.2227i 0.246167 + 0.462758i
\(489\) −4.62410 + 8.36942i −0.209109 + 0.378478i
\(490\) −4.72074 0.468114i −0.213261 0.0211472i
\(491\) −12.4835 + 2.48313i −0.563374 + 0.112062i −0.468558 0.883433i \(-0.655226\pi\)
−0.0948158 + 0.995495i \(0.530226\pi\)
\(492\) −34.7672 + 9.97153i −1.56742 + 0.449551i
\(493\) −31.1551 + 20.8172i −1.40315 + 0.937557i
\(494\) 5.53101 6.73045i 0.248852 0.302817i
\(495\) 4.41586 2.77637i 0.198478 0.124789i
\(496\) 4.04845 + 9.84761i 0.181781 + 0.442171i
\(497\) −12.2575 12.2575i −0.549824 0.549824i
\(498\) 0.336560 23.1299i 0.0150816 1.03648i
\(499\) −4.47018 + 2.98688i −0.200113 + 0.133711i −0.651589 0.758572i \(-0.725897\pi\)
0.451477 + 0.892283i \(0.350897\pi\)
\(500\) −11.4930 + 11.4626i −0.513983 + 0.512622i
\(501\) −10.5220 + 0.888989i −0.470090 + 0.0397171i
\(502\) 15.2485 12.4972i 0.680572 0.557776i
\(503\) 11.5844 + 4.79840i 0.516521 + 0.213950i 0.625688 0.780073i \(-0.284818\pi\)
−0.109167 + 0.994023i \(0.534818\pi\)
\(504\) 13.5654 6.73975i 0.604251 0.300212i
\(505\) −4.75496 + 1.96957i −0.211593 + 0.0876448i
\(506\) −9.89851 5.29930i −0.440042 0.235583i
\(507\) 15.3398 + 12.9497i 0.681266 + 0.575117i
\(508\) −5.57640 + 8.32176i −0.247413 + 0.369218i
\(509\) −2.59149 + 13.0283i −0.114866 + 0.577469i 0.879889 + 0.475179i \(0.157617\pi\)
−0.994755 + 0.102290i \(0.967383\pi\)
\(510\) 3.58468 8.31010i 0.158732 0.367977i
\(511\) 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
\(516\) 13.0664 + 11.0602i 0.575215 + 0.486897i
\(517\) −3.71763 + 5.56383i −0.163501 + 0.244697i
\(518\) 3.86442 7.21830i 0.169793 0.317154i
\(519\) 20.4226 5.88670i 0.896451 0.258397i
\(520\) −2.28730 + 1.86954i −0.100305 + 0.0819846i
\(521\) 7.83170 18.9074i 0.343113 0.828348i −0.654284 0.756249i \(-0.727030\pi\)
0.997397 0.0720996i \(-0.0229699\pi\)
\(522\) 16.8856 + 33.8736i 0.739062 + 1.48261i
\(523\) −6.97752 + 1.38791i −0.305105 + 0.0606893i −0.345269 0.938504i \(-0.612212\pi\)
0.0401632 + 0.999193i \(0.487212\pi\)
\(524\) 24.5135 + 24.5786i 1.07088 + 1.07372i
\(525\) 5.99918 + 11.6086i 0.261826 + 0.506641i
\(526\) −26.7940 + 2.62104i −1.16827 + 0.114283i
\(527\) 7.90551 7.90551i 0.344369 0.344369i
\(528\) 3.75785 + 13.1681i 0.163539 + 0.573070i
\(529\) 4.85484 + 4.85484i 0.211080 + 0.211080i
\(530\) 12.8862 + 10.5897i 0.559740 + 0.459988i
\(531\) 26.4586 10.1082i 1.14821 0.438658i
\(532\) −17.1227 + 7.06588i −0.742365 + 0.306345i
\(533\) −2.41848 12.1585i −0.104756 0.526644i
\(534\) 4.31086 20.1364i 0.186549 0.871387i
\(535\) −8.77026 3.63276i −0.379171 0.157058i
\(536\) −15.5629 + 8.27876i −0.672214 + 0.357588i
\(537\) 26.0083 7.49676i 1.12234 0.323509i
\(538\) 28.0433 8.48653i 1.20903 0.365880i
\(539\) −6.26685 4.18737i −0.269932 0.180363i
\(540\) −7.86976 4.65192i −0.338660 0.200187i
\(541\) −3.47342 + 17.4621i −0.149334 + 0.750753i 0.831441 + 0.555613i \(0.187516\pi\)
−0.980775 + 0.195140i \(0.937484\pi\)
\(542\) 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
\(546\) 1.91679 + 4.82492i 0.0820309 + 0.206487i
\(547\) 2.91657 + 0.580142i 0.124704 + 0.0248051i 0.257047 0.966399i \(-0.417250\pi\)
−0.132344 + 0.991204i \(0.542250\pi\)
\(548\) 24.4220 16.2715i 1.04326 0.695082i
\(549\) −8.43979 8.92212i −0.360202 0.380787i
\(550\) −11.3068 + 3.42169i −0.482123 + 0.145901i
\(551\) −17.7123 42.7613i −0.754570 1.82169i
\(552\) −0.312394 + 19.6755i −0.0132964 + 0.837443i
\(553\) −3.78343 + 9.13402i −0.160888 + 0.388418i
\(554\) −6.79358 0.673658i −0.288632 0.0286210i
\(555\) −4.92391 + 0.416012i −0.209008 + 0.0176587i
\(556\) −27.0741 11.2566i −1.14820 0.477385i
\(557\) −5.14626 7.70192i −0.218054 0.326341i 0.706275 0.707938i \(-0.250374\pi\)
−0.924329 + 0.381597i \(0.875374\pi\)
\(558\) −6.91322 8.92992i −0.292660 0.378034i
\(559\) −4.14890 + 4.14890i −0.175480 + 0.175480i
\(560\) 6.16391 1.20909i 0.260473 0.0510934i
\(561\) 11.2407 8.96674i 0.474585 0.378576i
\(562\) −25.2332 + 2.46836i −1.06440 + 0.104122i
\(563\) −11.4925 17.1998i −0.484352 0.724884i 0.506141 0.862451i \(-0.331072\pi\)
−0.990492 + 0.137567i \(0.956072\pi\)
\(564\) 11.6524 + 1.32693i 0.490654 + 0.0558738i
\(565\) −0.886290 4.45568i −0.0372865 0.187452i
\(566\) −20.7498 + 17.0059i −0.872178 + 0.714810i
\(567\) −11.9738 + 10.7123i −0.502851 + 0.449875i
\(568\) −24.1967 12.9954i −1.01527 0.545273i
\(569\) 1.45541 + 3.51367i 0.0610139 + 0.147301i 0.951446 0.307815i \(-0.0995979\pi\)
−0.890432 + 0.455116i \(0.849598\pi\)
\(570\) 9.20392 + 6.34548i 0.385510 + 0.265783i
\(571\) −26.2434 17.5353i −1.09825 0.733828i −0.131953 0.991256i \(-0.542125\pi\)
−0.966297 + 0.257428i \(0.917125\pi\)
\(572\) −4.60454 + 0.909552i −0.192525 + 0.0380303i
\(573\) 3.17767 9.97461i 0.132749 0.416695i
\(574\) −7.66839 + 25.2191i −0.320072 + 1.05262i
\(575\) −16.9754 −0.707925
\(576\) 17.5008 16.4232i 0.729199 0.684302i
\(577\) −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
\(579\) −0.989840 + 3.10707i −0.0411364 + 0.129126i
\(580\) 3.04159 + 15.3978i 0.126295 + 0.639358i
\(581\) −14.0173 9.36604i −0.581534 0.388569i
\(582\) −5.74671 3.96197i −0.238209 0.164229i
\(583\) 10.1410 + 24.4826i 0.419999 + 1.01397i
\(584\) −3.50369 11.6334i −0.144984 0.481393i
\(585\) 1.81246 2.55592i 0.0749361 0.105674i
\(586\) −2.06341 + 1.69111i −0.0852387 + 0.0698591i
\(587\) 4.56292 + 22.9393i 0.188332 + 0.946807i 0.953135 + 0.302544i \(0.0978359\pi\)
−0.764804 + 0.644263i \(0.777164\pi\)
\(588\) −1.49459 + 13.1247i −0.0616360 + 0.541255i
\(589\) 7.67250 + 11.4827i 0.316140 + 0.473137i
\(590\) 11.6896 1.14350i 0.481252 0.0470770i
\(591\) −7.06264 + 5.63386i −0.290518 + 0.231746i
\(592\) 2.56459 12.7167i 0.105404 0.522653i
\(593\) 0.720946 0.720946i 0.0296057 0.0296057i −0.692149 0.721755i \(-0.743336\pi\)
0.721755 + 0.692149i \(0.243336\pi\)
\(594\) −7.55119 12.4073i −0.309829 0.509078i
\(595\) −3.66436 5.48410i −0.150224 0.224826i
\(596\) −0.507964 + 1.22175i −0.0208070 + 0.0500447i
\(597\) 21.0930 1.78211i 0.863280 0.0729370i
\(598\) −6.71161 0.665530i −0.274458 0.0272156i
\(599\) 5.88792 14.2147i 0.240574 0.580797i −0.756766 0.653686i \(-0.773222\pi\)
0.997340 + 0.0728890i \(0.0232219\pi\)
\(600\) 14.4056 + 14.8705i 0.588107 + 0.607084i
\(601\) 13.8900 + 33.5333i 0.566583 + 1.36785i 0.904418 + 0.426648i \(0.140306\pi\)
−0.337835 + 0.941206i \(0.609694\pi\)
\(602\) 11.9411 3.61366i 0.486684 0.147282i
\(603\) 13.5829 12.8486i 0.553140 0.523237i
\(604\) −27.1800 40.7947i −1.10594 1.65991i
\(605\) −6.11990 1.21732i −0.248809 0.0494913i
\(606\) 5.29113 + 13.3188i 0.214937 + 0.541038i
\(607\) −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
\(612\) −22.9921 10.3173i −0.929401 0.417052i
\(613\) 27.1558 + 18.1449i 1.09681 + 0.732866i 0.966000 0.258542i \(-0.0832419\pi\)
0.130811 + 0.991407i \(0.458242\pi\)
\(614\) 30.5824 9.25494i 1.23421 0.373499i
\(615\) 15.2861 4.40613i 0.616394 0.177672i
\(616\) 9.54430 + 2.91598i 0.384551 + 0.117488i
\(617\) −17.2960 7.16425i −0.696312 0.288422i 0.00631502 0.999980i \(-0.497990\pi\)
−0.702627 + 0.711558i \(0.747990\pi\)
\(618\) 8.03134 37.5151i 0.323068 1.50908i
\(619\) 3.91055 + 19.6597i 0.157178 + 0.790189i 0.976275 + 0.216534i \(0.0694751\pi\)
−0.819097 + 0.573655i \(0.805525\pi\)
\(620\) −1.78640 4.32899i −0.0717436 0.173856i
\(621\) −5.22162 20.2079i −0.209536 0.810914i
\(622\) 26.2855 + 21.6011i 1.05395 + 0.866127i
\(623\) −10.6119 10.6119i −0.425158 0.425158i
\(624\) 5.11258 + 6.44414i 0.204667 + 0.257972i
\(625\) −9.89341 + 9.89341i −0.395736 + 0.395736i
\(626\) −0.945461 + 0.0924868i −0.0377882 + 0.00369652i
\(627\) 8.15445 + 15.7791i 0.325657 + 0.630157i
\(628\) 29.4304 29.3524i 1.17440 1.17129i
\(629\) −13.3601 + 2.65749i −0.532702 + 0.105961i
\(630\) −5.96264 + 2.97230i −0.237557 + 0.118419i
\(631\) 18.9135 45.6613i 0.752936 1.81775i 0.210633 0.977565i \(-0.432447\pi\)
0.542303 0.840183i \(-0.317553\pi\)
\(632\) −1.56641 + 15.5861i −0.0623083 + 0.619981i
\(633\) 4.42890 1.27661i 0.176033 0.0507406i
\(634\) −17.0914 + 31.9248i −0.678787 + 1.26790i
\(635\) 2.44785 3.66347i 0.0971401 0.145380i
\(636\) 30.0064 35.4493i 1.18983 1.40565i
\(637\) −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 \(-0.234611\pi\)
\(642\) −10.4698 + 24.2714i −0.413210 + 0.957914i
\(643\) 4.93903 24.8302i 0.194776 0.979207i −0.752452 0.658647i \(-0.771129\pi\)
0.947228 0.320560i \(-0.103871\pi\)
\(644\) 11.9134 + 7.98318i 0.469456 + 0.314582i
\(645\) −5.75352 4.85705i −0.226545 0.191246i
\(646\) 27.1689 + 14.5453i 1.06895 + 0.572276i
\(647\) −17.8713 + 7.40254i −0.702594 + 0.291024i −0.705236 0.708973i \(-0.749159\pi\)
0.00264227 + 0.999997i \(0.499159\pi\)
\(648\) −13.2709 + 21.7229i −0.521331 + 0.853355i
\(649\) 17.2405 + 7.14125i 0.676749 + 0.280319i
\(650\) −5.48841 + 4.49813i −0.215273 + 0.176431i
\(651\) −8.20104 + 0.692891i −0.321424 + 0.0271566i
\(652\) 7.79688 + 7.81758i 0.305349 + 0.306160i
\(653\) −5.16831 + 3.45335i −0.202251 + 0.135140i −0.652572 0.757727i \(-0.726310\pi\)
0.450320 + 0.892867i \(0.351310\pi\)
\(654\) −0.558853 + 38.4070i −0.0218529 + 1.50183i
\(655\) −10.7963 10.7963i −0.421845 0.421845i
\(656\) −0.110778 + 41.7641i −0.00432514 + 1.63061i
\(657\) 6.85907 + 10.9095i 0.267598 + 0.425618i
\(658\) 5.42649 6.60326i 0.211547 0.257422i
\(659\) −32.4179 + 21.6610i −1.26282 + 0.843792i −0.992884 0.119086i \(-0.962004\pi\)
−0.269939 + 0.962877i \(0.587004\pi\)
\(660\) −1.66052 5.78965i −0.0646358 0.225362i
\(661\) 12.8918 2.56434i 0.501432 0.0997411i 0.0621078 0.998069i \(-0.480218\pi\)
0.439325 + 0.898328i \(0.355218\pi\)
\(662\) 8.28868 + 0.821913i 0.322149 + 0.0319446i
\(663\) 4.17707 7.56032i 0.162224 0.293618i
\(664\) −25.5453 7.80462i −0.991351 0.302878i
\(665\) 7.52710 3.11783i 0.291888 0.120904i
\(666\) 0.958797 + 13.7262i 0.0371526 + 0.531880i
\(667\) −19.9081 + 29.7946i −0.770847 + 1.15365i
\(668\) −2.39461 + 11.9556i −0.0926504 + 0.462578i
\(669\) −6.16414 + 19.3490i −0.238320 + 0.748077i
\(670\) 6.84030 3.65039i 0.264264 0.141027i
\(671\) 8.09159i 0.312372i
\(672\) −3.11668 17.2108i −0.120229 0.663922i
\(673\) 22.2938i 0.859364i −0.902980 0.429682i \(-0.858626\pi\)
0.902980 0.429682i \(-0.141374\pi\)
\(674\) −20.8940 39.1524i −0.804809 1.50810i
\(675\) −18.9189 11.1494i −0.728189 0.429141i
\(676\) 19.2910 12.8529i 0.741963 0.494342i
\(677\) −4.74556 + 7.10223i −0.182387 + 0.272961i −0.911385 0.411554i \(-0.864986\pi\)
0.728999 + 0.684515i \(0.239986\pi\)
\(678\) −12.4416 + 2.28713i −0.477817 + 0.0878369i
\(679\) −4.69974 + 1.94670i −0.180360 + 0.0747074i
\(680\) −8.06504 6.64570i −0.309280 0.254851i
\(681\) 29.9037 + 16.5218i 1.14591 + 0.633116i
\(682\) 0.734203 7.40416i 0.0281141 0.283520i
\(683\) 4.27166 0.849686i 0.163451 0.0325123i −0.112687 0.993631i \(-0.535946\pi\)
0.276137 + 0.961118i \(0.410946\pi\)
\(684\) 18.0402 25.3689i 0.689786 0.970003i
\(685\) −10.7322 + 7.17103i −0.410057 + 0.273991i
\(686\) 21.0908 + 17.3322i 0.805251 + 0.661747i
\(687\) −22.8022 + 18.1893i −0.869957 + 0.693964i
\(688\) 16.4649 10.9384i 0.627719 0.417024i
\(689\) 11.2560 + 11.2560i 0.428821 + 0.428821i
\(690\) 0.125926 8.65418i 0.00479390 0.329459i
\(691\) 15.3523 10.2581i 0.584028 0.390235i −0.228166 0.973622i \(-0.573273\pi\)
0.812194 + 0.583387i \(0.198273\pi\)
\(692\) 0.0325483 24.5420i 0.00123730 0.932948i
\(693\) −10.5811 0.293949i −0.401943 0.0111662i
\(694\) 3.54716 + 4.32807i 0.134648 + 0.164291i
\(695\) 11.9148 + 4.93526i 0.451953 + 0.187205i
\(696\) 42.9944 7.84471i 1.62970 0.297353i
\(697\) 40.5158 16.7822i 1.53464 0.635670i
\(698\) −1.95928 + 3.65971i −0.0741598 + 0.138522i
\(699\) −21.6325 + 25.6253i −0.818218 + 0.969237i
\(700\) 14.8026 2.92402i 0.559485 0.110517i
\(701\) 1.06892 5.37381i 0.0403724 0.202966i −0.955335 0.295526i \(-0.904505\pi\)
0.995707 + 0.0925602i \(0.0295051\pi\)
\(702\) −7.04289 5.14989i −0.265817 0.194370i
\(703\) 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
\(708\) −2.71019 32.5930i −0.101855 1.22492i
\(709\) 22.7601 34.0630i 0.854775 1.27926i −0.103851 0.994593i \(-0.533117\pi\)
0.958626 0.284668i \(-0.0918834\pi\)
\(710\) 10.6502 + 5.70173i 0.399695 + 0.213982i
\(711\) −2.78761 16.3793i −0.104544 0.614271i
\(712\) −20.9483 11.2507i −0.785071 0.421639i
\(713\) 4.09161 9.87801i 0.153232 0.369935i
\(714\) −15.4175 + 9.98030i −0.576987 + 0.373503i
\(715\) 2.02472 0.402741i 0.0757201 0.0150617i
\(716\) 0.0414506 31.2545i 0.00154908 1.16803i
\(717\) −46.3725 + 23.9647i −1.73181 + 0.894980i
\(718\) 0.206497 + 2.11095i 0.00770642 + 0.0787801i
\(719\) 10.4105 10.4105i 0.388248 0.388248i −0.485814 0.874062i \(-0.661477\pi\)
0.874062 + 0.485814i \(0.161477\pi\)
\(720\) −7.68791 + 7.23376i −0.286511 + 0.269586i
\(721\) −19.7706 19.7706i −0.736294 0.736294i
\(722\) −7.10907 + 8.65073i −0.264572 + 0.321947i
\(723\) −14.8556 28.7460i −0.552484 1.06907i
\(724\) −17.8306 + 42.8860i −0.662670 + 1.59384i
\(725\) 7.35531 + 36.9776i 0.273169 + 1.37331i
\(726\) −3.63727 + 16.9900i −0.134992 + 0.630558i
\(727\) 26.9114 + 11.1471i 0.998088 + 0.413422i 0.821096 0.570790i \(-0.193363\pi\)
0.176993 + 0.984212i \(0.443363\pi\)
\(728\) 5.96717 0.575731i 0.221158 0.0213380i
\(729\) 7.45303 25.9510i 0.276038 0.961147i
\(730\) 1.54784 + 5.11475i 0.0572882 + 0.189306i
\(731\) −17.2582 11.5316i −0.638319 0.426511i
\(732\) −12.6071 + 6.49404i −0.465973 + 0.240027i
\(733\) 0.362733 1.82358i 0.0133978 0.0673555i −0.973508 0.228653i \(-0.926568\pi\)
0.986906 + 0.161298i \(0.0515679\pi\)
\(734\) −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
\(738\) −11.6485 42.7387i −0.428786 1.57323i
\(739\) −18.0176 3.58392i −0.662788 0.131837i −0.147777 0.989021i \(-0.547212\pi\)
−0.515010 + 0.857184i \(0.672212\pi\)
\(740\) −1.12059 + 5.59478i −0.0411935 + 0.205668i
\(741\) 8.15279 + 6.88248i 0.299500 + 0.252834i
\(742\) −9.80391 32.3965i −0.359913 1.18931i
\(743\) −5.48417 13.2400i −0.201195 0.485727i 0.790790 0.612088i \(-0.209670\pi\)
−0.991984 + 0.126361i \(0.959670\pi\)
\(744\) −12.1253 + 4.79840i −0.444536 + 0.175918i
\(745\) 0.222709 0.537666i 0.00815941 0.0196986i
\(746\) 0.586288 5.91248i 0.0214655 0.216471i
\(747\) 28.3203 + 0.786754i 1.03619 + 0.0287858i
\(748\) −6.33353 15.3480i −0.231577 0.561180i
\(749\) 10.7025 + 16.0175i 0.391062 + 0.585265i
\(750\) −13.8514 14.2604i −0.505780 0.520717i
\(751\) −22.4584 + 22.4584i −0.819518 + 0.819518i −0.986038 0.166520i \(-0.946747\pi\)
0.166520 + 0.986038i \(0.446747\pi\)
\(752\) 5.21546 12.4974i 0.190188 0.455732i
\(753\) 15.0576 + 18.8762i 0.548728 + 0.687888i
\(754\) 1.45836 + 14.9083i 0.0531102 + 0.542928i
\(755\) 11.9786 + 17.9272i 0.435944 + 0.652437i
\(756\) 8.03406 + 16.7219i 0.292196 + 0.608168i
\(757\) −2.33825 11.7552i −0.0849853 0.427250i −0.999730 0.0232186i \(-0.992609\pi\)
0.914745 0.404031i \(-0.132391\pi\)
\(758\) 16.7538 + 20.4422i 0.608525 + 0.742493i
\(759\) 6.65003 12.0363i 0.241381 0.436889i
\(760\) 9.99488 8.16937i 0.362552 0.296334i
\(761\) 7.55526 + 18.2400i 0.273878 + 0.661200i 0.999642 0.0267435i \(-0.00851372\pi\)
−0.725764 + 0.687943i \(0.758514\pi\)
\(762\) −10.1008 6.96384i −0.365914 0.252273i
\(763\) 23.2755 + 15.5522i 0.842630 + 0.563027i
\(764\) −10.0419 6.72907i −0.363304 0.243449i
\(765\) 10.1188 + 4.52452i 0.365846 + 0.163584i
\(766\) −45.5976 13.8649i −1.64751 0.500960i
\(767\) 11.2097 0.404757
\(768\) −12.5923 24.6867i −0.454385 0.890805i
\(769\) −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
\(771\) −20.1400 6.41613i −0.725324 0.231071i
\(772\) 3.12804 + 2.09610i 0.112581 + 0.0754402i
\(773\) −34.5172 23.0637i −1.24150 0.829542i −0.251123 0.967955i \(-0.580800\pi\)