Properties

Label 144.2.u.a.83.16
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.16
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.714386 + 1.22051i) q^{2} +(-1.67697 - 0.433336i) q^{3} +(-0.979306 + 1.74383i) q^{4} +(-0.247419 + 0.923380i) q^{5} +(-0.669109 - 2.35633i) q^{6} +(-1.93471 + 3.35102i) q^{7} +(-2.82798 + 0.0505136i) q^{8} +(2.62444 + 1.45338i) q^{9} +O(q^{10})\) \(q+(0.714386 + 1.22051i) q^{2} +(-1.67697 - 0.433336i) q^{3} +(-0.979306 + 1.74383i) q^{4} +(-0.247419 + 0.923380i) q^{5} +(-0.669109 - 2.35633i) q^{6} +(-1.93471 + 3.35102i) q^{7} +(-2.82798 + 0.0505136i) q^{8} +(2.62444 + 1.45338i) q^{9} +(-1.30375 + 0.357671i) q^{10} +(0.936987 + 3.49688i) q^{11} +(2.39793 - 2.49998i) q^{12} +(1.72498 - 6.43770i) q^{13} +(-5.47210 + 0.0325780i) q^{14} +(0.815048 - 1.44126i) q^{15} +(-2.08192 - 3.41550i) q^{16} +3.74282i q^{17} +(0.100990 + 4.24144i) q^{18} +(3.09199 - 3.09199i) q^{19} +(-1.36792 - 1.33573i) q^{20} +(4.69657 - 4.78118i) q^{21} +(-3.59862 + 3.64173i) q^{22} +(0.327240 - 0.188932i) q^{23} +(4.76431 + 1.14075i) q^{24} +(3.53871 + 2.04308i) q^{25} +(9.08960 - 2.49364i) q^{26} +(-3.77130 - 3.57454i) q^{27} +(-3.94895 - 6.65550i) q^{28} +(1.10982 + 4.14191i) q^{29} +(2.34134 - 0.0348409i) q^{30} +(0.788179 - 0.455055i) q^{31} +(2.68137 - 4.98099i) q^{32} +(-0.0559708 - 6.27019i) q^{33} +(-4.56816 + 2.67382i) q^{34} +(-2.61558 - 2.61558i) q^{35} +(-5.10459 + 3.15328i) q^{36} +(-2.13502 + 2.13502i) q^{37} +(5.98269 + 1.56494i) q^{38} +(-5.68242 + 10.0483i) q^{39} +(0.653052 - 2.62379i) q^{40} +(3.66866 + 6.35430i) q^{41} +(9.19065 + 2.31663i) q^{42} +(2.47404 - 0.662918i) q^{43} +(-7.01559 - 1.79057i) q^{44} +(-1.99136 + 2.06376i) q^{45} +(0.464370 + 0.264431i) q^{46} +(-0.0726386 + 0.125814i) q^{47} +(2.01125 + 6.62985i) q^{48} +(-3.98624 - 6.90437i) q^{49} +(0.0344027 + 5.77859i) q^{50} +(1.62190 - 6.27659i) q^{51} +(9.53701 + 9.31256i) q^{52} +(-5.67083 - 5.67083i) q^{53} +(1.66861 - 7.15652i) q^{54} -3.46078 q^{55} +(5.30205 - 9.57435i) q^{56} +(-6.52503 + 3.84529i) q^{57} +(-4.26241 + 4.31347i) q^{58} +(3.99549 + 1.07059i) q^{59} +(1.71514 + 2.83275i) q^{60} +(-6.33446 + 1.69731i) q^{61} +(1.11846 + 0.636898i) q^{62} +(-9.94786 + 5.98268i) q^{63} +(7.99490 - 0.285702i) q^{64} +(5.51765 + 3.18562i) q^{65} +(7.61287 - 4.54765i) q^{66} +(1.33594 + 0.357964i) q^{67} +(-6.52686 - 3.66537i) q^{68} +(-0.630643 + 0.175028i) q^{69} +(1.32382 - 5.06089i) q^{70} -9.88796i q^{71} +(-7.49527 - 3.97756i) q^{72} -6.65482i q^{73} +(-4.13105 - 1.08059i) q^{74} +(-5.04897 - 4.95962i) q^{75} +(2.36391 + 8.41992i) q^{76} +(-13.5309 - 3.62561i) q^{77} +(-16.3236 + 0.242907i) q^{78} +(-2.18459 - 1.26127i) q^{79} +(3.66891 - 1.07734i) q^{80} +(4.77537 + 7.62862i) q^{81} +(-5.13467 + 9.01707i) q^{82} +(-0.261050 + 0.0699481i) q^{83} +(3.73820 + 12.8723i) q^{84} +(-3.45605 - 0.926045i) q^{85} +(2.57652 + 2.54603i) q^{86} +(-0.0662949 - 7.42677i) q^{87} +(-2.82642 - 9.84177i) q^{88} +5.86860 q^{89} +(-3.94145 - 0.956160i) q^{90} +(18.2356 + 18.2356i) q^{91} +(0.00899811 + 0.755676i) q^{92} +(-1.51894 + 0.421566i) q^{93} +(-0.205449 + 0.00122314i) q^{94} +(2.09006 + 3.62010i) q^{95} +(-6.65501 + 7.19103i) q^{96} +(5.07233 - 8.78553i) q^{97} +(5.57917 - 9.79765i) q^{98} +(-2.62324 + 10.5392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.714386 + 1.22051i 0.505147 + 0.863033i
\(3\) −1.67697 0.433336i −0.968198 0.250187i
\(4\) −0.979306 + 1.74383i −0.489653 + 0.871917i
\(5\) −0.247419 + 0.923380i −0.110649 + 0.412948i −0.998925 0.0463628i \(-0.985237\pi\)
0.888276 + 0.459311i \(0.151904\pi\)
\(6\) −0.669109 2.35633i −0.273162 0.961968i
\(7\) −1.93471 + 3.35102i −0.731253 + 1.26657i 0.225094 + 0.974337i \(0.427731\pi\)
−0.956348 + 0.292231i \(0.905602\pi\)
\(8\) −2.82798 + 0.0505136i −0.999841 + 0.0178592i
\(9\) 2.62444 + 1.45338i 0.874813 + 0.484460i
\(10\) −1.30375 + 0.357671i −0.412282 + 0.113106i
\(11\) 0.936987 + 3.49688i 0.282512 + 1.05435i 0.950638 + 0.310302i \(0.100430\pi\)
−0.668126 + 0.744048i \(0.732903\pi\)
\(12\) 2.39793 2.49998i 0.692223 0.721683i
\(13\) 1.72498 6.43770i 0.478423 1.78550i −0.129587 0.991568i \(-0.541365\pi\)
0.608010 0.793929i \(-0.291968\pi\)
\(14\) −5.47210 + 0.0325780i −1.46248 + 0.00870684i
\(15\) 0.815048 1.44126i 0.210444 0.372132i
\(16\) −2.08192 3.41550i −0.520479 0.853874i
\(17\) 3.74282i 0.907767i 0.891061 + 0.453884i \(0.149962\pi\)
−0.891061 + 0.453884i \(0.850038\pi\)
\(18\) 0.100990 + 4.24144i 0.0238036 + 0.999717i
\(19\) 3.09199 3.09199i 0.709351 0.709351i −0.257048 0.966399i \(-0.582750\pi\)
0.966399 + 0.257048i \(0.0827498\pi\)
\(20\) −1.36792 1.33573i −0.305877 0.298678i
\(21\) 4.69657 4.78118i 1.02488 1.04334i
\(22\) −3.59862 + 3.64173i −0.767229 + 0.776419i
\(23\) 0.327240 0.188932i 0.0682344 0.0393951i −0.465495 0.885051i \(-0.654124\pi\)
0.533729 + 0.845656i \(0.320790\pi\)
\(24\) 4.76431 + 1.14075i 0.972511 + 0.232856i
\(25\) 3.53871 + 2.04308i 0.707742 + 0.408615i
\(26\) 9.08960 2.49364i 1.78262 0.489044i
\(27\) −3.77130 3.57454i −0.725786 0.687920i
\(28\) −3.94895 6.65550i −0.746282 1.25777i
\(29\) 1.10982 + 4.14191i 0.206088 + 0.769133i 0.989115 + 0.147144i \(0.0470082\pi\)
−0.783027 + 0.621988i \(0.786325\pi\)
\(30\) 2.34134 0.0348409i 0.427468 0.00636104i
\(31\) 0.788179 0.455055i 0.141561 0.0817303i −0.427547 0.903993i \(-0.640622\pi\)
0.569108 + 0.822263i \(0.307289\pi\)
\(32\) 2.68137 4.98099i 0.474003 0.880523i
\(33\) −0.0559708 6.27019i −0.00974326 1.09150i
\(34\) −4.56816 + 2.67382i −0.783433 + 0.458556i
\(35\) −2.61558 2.61558i −0.442114 0.442114i
\(36\) −5.10459 + 3.15328i −0.850765 + 0.525547i
\(37\) −2.13502 + 2.13502i −0.350996 + 0.350996i −0.860480 0.509484i \(-0.829836\pi\)
0.509484 + 0.860480i \(0.329836\pi\)
\(38\) 5.98269 + 1.56494i 0.970520 + 0.253867i
\(39\) −5.68242 + 10.0483i −0.909915 + 1.60902i
\(40\) 0.653052 2.62379i 0.103257 0.414858i
\(41\) 3.66866 + 6.35430i 0.572948 + 0.992375i 0.996261 + 0.0863918i \(0.0275337\pi\)
−0.423313 + 0.905983i \(0.639133\pi\)
\(42\) 9.19065 + 2.31663i 1.41815 + 0.357463i
\(43\) 2.47404 0.662918i 0.377288 0.101094i −0.0651910 0.997873i \(-0.520766\pi\)
0.442479 + 0.896779i \(0.354099\pi\)
\(44\) −7.01559 1.79057i −1.05764 0.269939i
\(45\) −1.99136 + 2.06376i −0.296854 + 0.307647i
\(46\) 0.464370 + 0.264431i 0.0684677 + 0.0389882i
\(47\) −0.0726386 + 0.125814i −0.0105954 + 0.0183518i −0.871275 0.490796i \(-0.836706\pi\)
0.860679 + 0.509148i \(0.170039\pi\)
\(48\) 2.01125 + 6.62985i 0.290299 + 0.956936i
\(49\) −3.98624 6.90437i −0.569463 0.986339i
\(50\) 0.0344027 + 5.77859i 0.00486527 + 0.817216i
\(51\) 1.62190 6.27659i 0.227111 0.878898i
\(52\) 9.53701 + 9.31256i 1.32254 + 1.29142i
\(53\) −5.67083 5.67083i −0.778948 0.778948i 0.200704 0.979652i \(-0.435677\pi\)
−0.979652 + 0.200704i \(0.935677\pi\)
\(54\) 1.66861 7.15652i 0.227069 0.973879i
\(55\) −3.46078 −0.466652
\(56\) 5.30205 9.57435i 0.708517 1.27943i
\(57\) −6.52503 + 3.84529i −0.864262 + 0.509322i
\(58\) −4.26241 + 4.31347i −0.559682 + 0.566386i
\(59\) 3.99549 + 1.07059i 0.520169 + 0.139379i 0.509345 0.860563i \(-0.329888\pi\)
0.0108242 + 0.999941i \(0.496554\pi\)
\(60\) 1.71514 + 2.83275i 0.221424 + 0.365706i
\(61\) −6.33446 + 1.69731i −0.811044 + 0.217319i −0.640427 0.768019i \(-0.721243\pi\)
−0.170617 + 0.985337i \(0.554576\pi\)
\(62\) 1.11846 + 0.636898i 0.142045 + 0.0808861i
\(63\) −9.94786 + 5.98268i −1.25331 + 0.753747i
\(64\) 7.99490 0.285702i 0.999362 0.0357128i
\(65\) 5.51765 + 3.18562i 0.684381 + 0.395127i
\(66\) 7.61287 4.54765i 0.937079 0.559777i
\(67\) 1.33594 + 0.357964i 0.163211 + 0.0437322i 0.339499 0.940606i \(-0.389742\pi\)
−0.176288 + 0.984339i \(0.556409\pi\)
\(68\) −6.52686 3.66537i −0.791498 0.444491i
\(69\) −0.630643 + 0.175028i −0.0759205 + 0.0210709i
\(70\) 1.32382 5.06089i 0.158227 0.604892i
\(71\) 9.88796i 1.17348i −0.809774 0.586742i \(-0.800410\pi\)
0.809774 0.586742i \(-0.199590\pi\)
\(72\) −7.49527 3.97756i −0.883326 0.468760i
\(73\) 6.65482i 0.778888i −0.921050 0.389444i \(-0.872667\pi\)
0.921050 0.389444i \(-0.127333\pi\)
\(74\) −4.13105 1.08059i −0.480225 0.125617i
\(75\) −5.04897 4.95962i −0.583004 0.572688i
\(76\) 2.36391 + 8.41992i 0.271159 + 0.965831i
\(77\) −13.5309 3.62561i −1.54199 0.413176i
\(78\) −16.3236 + 0.242907i −1.84828 + 0.0275038i
\(79\) −2.18459 1.26127i −0.245786 0.141904i 0.372047 0.928214i \(-0.378656\pi\)
−0.617833 + 0.786309i \(0.711989\pi\)
\(80\) 3.66891 1.07734i 0.410196 0.120451i
\(81\) 4.77537 + 7.62862i 0.530596 + 0.847625i
\(82\) −5.13467 + 9.01707i −0.567030 + 0.995769i
\(83\) −0.261050 + 0.0699481i −0.0286539 + 0.00767780i −0.273118 0.961981i \(-0.588055\pi\)
0.244464 + 0.969658i \(0.421388\pi\)
\(84\) 3.73820 + 12.8723i 0.407871 + 1.40448i
\(85\) −3.45605 0.926045i −0.374861 0.100444i
\(86\) 2.57652 + 2.54603i 0.277834 + 0.274545i
\(87\) −0.0662949 7.42677i −0.00710756 0.796233i
\(88\) −2.82642 9.84177i −0.301297 1.04914i
\(89\) 5.86860 0.622070 0.311035 0.950398i \(-0.399324\pi\)
0.311035 + 0.950398i \(0.399324\pi\)
\(90\) −3.94145 0.956160i −0.415465 0.100788i
\(91\) 18.2356 + 18.2356i 1.91161 + 1.91161i
\(92\) 0.00899811 + 0.755676i 0.000938117 + 0.0787847i
\(93\) −1.51894 + 0.421566i −0.157507 + 0.0437144i
\(94\) −0.205449 + 0.00122314i −0.0211905 + 0.000126157i
\(95\) 2.09006 + 3.62010i 0.214436 + 0.371414i
\(96\) −6.65501 + 7.19103i −0.679224 + 0.733931i
\(97\) 5.07233 8.78553i 0.515017 0.892035i −0.484831 0.874608i \(-0.661119\pi\)
0.999848 0.0174277i \(-0.00554769\pi\)
\(98\) 5.57917 9.79765i 0.563581 0.989712i
\(99\) −2.62324 + 10.5392i −0.263646 + 1.05923i
\(100\) −7.02827 + 4.17013i −0.702827 + 0.417013i
\(101\) 0.725673 0.194443i 0.0722072 0.0193479i −0.222535 0.974925i \(-0.571433\pi\)
0.294742 + 0.955577i \(0.404766\pi\)
\(102\) 8.81932 2.50435i 0.873243 0.247968i
\(103\) 6.93904 + 12.0188i 0.683724 + 1.18424i 0.973836 + 0.227252i \(0.0729741\pi\)
−0.290112 + 0.956993i \(0.593693\pi\)
\(104\) −4.55300 + 18.2928i −0.446459 + 1.79376i
\(105\) 3.25282 + 5.51968i 0.317443 + 0.538665i
\(106\) 2.87016 10.9725i 0.278775 1.06574i
\(107\) −1.56287 + 1.56287i −0.151088 + 0.151088i −0.778604 0.627516i \(-0.784072\pi\)
0.627516 + 0.778604i \(0.284072\pi\)
\(108\) 9.92666 3.07595i 0.955193 0.295983i
\(109\) 6.71432 + 6.71432i 0.643115 + 0.643115i 0.951320 0.308205i \(-0.0997283\pi\)
−0.308205 + 0.951320i \(0.599728\pi\)
\(110\) −2.47233 4.22393i −0.235728 0.402736i
\(111\) 4.50555 2.65518i 0.427648 0.252019i
\(112\) 15.4733 0.368545i 1.46209 0.0348243i
\(113\) −13.7148 + 7.91823i −1.29018 + 0.744885i −0.978686 0.205364i \(-0.934162\pi\)
−0.311492 + 0.950249i \(0.600829\pi\)
\(114\) −9.35462 5.21687i −0.876141 0.488605i
\(115\) 0.0934909 + 0.348913i 0.00871807 + 0.0325363i
\(116\) −8.30965 2.12085i −0.771532 0.196916i
\(117\) 13.8835 14.3883i 1.28353 1.33020i
\(118\) 1.54765 + 5.64137i 0.142473 + 0.519330i
\(119\) −12.5423 7.24129i −1.14975 0.663808i
\(120\) −2.23213 + 4.11703i −0.203765 + 0.375831i
\(121\) −1.82398 + 1.05307i −0.165816 + 0.0957339i
\(122\) −6.59684 6.51876i −0.597250 0.590180i
\(123\) −3.39867 12.2457i −0.306448 1.10416i
\(124\) 0.0216725 + 1.82009i 0.00194625 + 0.163449i
\(125\) −6.14189 + 6.14189i −0.549347 + 0.549347i
\(126\) −14.4086 7.86755i −1.28362 0.700897i
\(127\) 10.4492i 0.927219i −0.886040 0.463609i \(-0.846554\pi\)
0.886040 0.463609i \(-0.153446\pi\)
\(128\) 6.06014 + 9.55378i 0.535646 + 0.844443i
\(129\) −4.43616 + 0.0395993i −0.390582 + 0.00348652i
\(130\) 0.0536416 + 9.01013i 0.00470468 + 0.790241i
\(131\) 4.90101 18.2908i 0.428203 1.59807i −0.328625 0.944461i \(-0.606585\pi\)
0.756828 0.653614i \(-0.226748\pi\)
\(132\) 10.9890 + 6.04284i 0.956469 + 0.525961i
\(133\) 4.37921 + 16.3434i 0.379726 + 1.41716i
\(134\) 0.517476 + 1.88626i 0.0447031 + 0.162948i
\(135\) 4.23375 2.59793i 0.364383 0.223594i
\(136\) −0.189063 10.5846i −0.0162120 0.907623i
\(137\) 7.93788 13.7488i 0.678178 1.17464i −0.297350 0.954768i \(-0.596103\pi\)
0.975529 0.219871i \(-0.0705637\pi\)
\(138\) −0.664147 0.644670i −0.0565359 0.0548780i
\(139\) 4.40461 16.4382i 0.373594 1.39427i −0.481794 0.876285i \(-0.660015\pi\)
0.855388 0.517988i \(-0.173319\pi\)
\(140\) 7.12260 1.99969i 0.601970 0.169004i
\(141\) 0.176332 0.179509i 0.0148499 0.0151174i
\(142\) 12.0684 7.06381i 1.01276 0.592782i
\(143\) 24.1282 2.01770
\(144\) −0.499848 11.9896i −0.0416540 0.999132i
\(145\) −4.09914 −0.340415
\(146\) 8.12230 4.75411i 0.672206 0.393453i
\(147\) 3.69288 + 13.3058i 0.304584 + 1.09744i
\(148\) −1.63228 5.81397i −0.134173 0.477905i
\(149\) −1.75301 + 6.54234i −0.143613 + 0.535969i 0.856201 + 0.516643i \(0.172819\pi\)
−0.999813 + 0.0193260i \(0.993848\pi\)
\(150\) 2.44638 9.70542i 0.199746 0.792444i
\(151\) −4.39506 + 7.61246i −0.357665 + 0.619493i −0.987570 0.157178i \(-0.949760\pi\)
0.629906 + 0.776672i \(0.283094\pi\)
\(152\) −8.58788 + 8.90026i −0.696569 + 0.721906i
\(153\) −5.43975 + 9.82281i −0.439777 + 0.794127i
\(154\) −5.24121 19.1048i −0.422349 1.53951i
\(155\) 0.225179 + 0.840378i 0.0180868 + 0.0675008i
\(156\) −11.9578 19.7496i −0.957389 1.58123i
\(157\) 1.95778 7.30654i 0.156248 0.583126i −0.842747 0.538310i \(-0.819063\pi\)
0.998995 0.0448162i \(-0.0142702\pi\)
\(158\) −0.0212382 3.56736i −0.00168962 0.283804i
\(159\) 7.05242 + 11.9672i 0.559293 + 0.949058i
\(160\) 3.93593 + 3.70831i 0.311162 + 0.293168i
\(161\) 1.46212i 0.115231i
\(162\) −5.89938 + 11.2782i −0.463499 + 0.886097i
\(163\) −3.88439 + 3.88439i −0.304249 + 0.304249i −0.842674 0.538425i \(-0.819020\pi\)
0.538425 + 0.842674i \(0.319020\pi\)
\(164\) −14.6736 + 0.174724i −1.14581 + 0.0136436i
\(165\) 5.80362 + 1.49968i 0.451811 + 0.116750i
\(166\) −0.271863 0.268645i −0.0211006 0.0208509i
\(167\) 16.2578 9.38644i 1.25807 0.726345i 0.285367 0.958418i \(-0.407884\pi\)
0.972698 + 0.232074i \(0.0745510\pi\)
\(168\) −13.0403 + 13.7583i −1.00608 + 1.06148i
\(169\) −27.2101 15.7098i −2.09309 1.20844i
\(170\) −1.33870 4.87970i −0.102674 0.374256i
\(171\) 12.6086 3.62090i 0.964202 0.276897i
\(172\) −1.26683 + 4.96352i −0.0965947 + 0.378465i
\(173\) −1.19743 4.46886i −0.0910387 0.339761i 0.905350 0.424665i \(-0.139608\pi\)
−0.996389 + 0.0849043i \(0.972942\pi\)
\(174\) 9.01711 5.38649i 0.683585 0.408349i
\(175\) −13.6928 + 7.90554i −1.03508 + 0.597603i
\(176\) 9.99287 10.4805i 0.753241 0.789998i
\(177\) −6.23639 3.52674i −0.468756 0.265086i
\(178\) 4.19244 + 7.16270i 0.314237 + 0.536867i
\(179\) 16.7079 + 16.7079i 1.24881 + 1.24881i 0.956248 + 0.292557i \(0.0945062\pi\)
0.292557 + 0.956248i \(0.405494\pi\)
\(180\) −1.64871 5.49366i −0.122887 0.409473i
\(181\) −3.87025 + 3.87025i −0.287673 + 0.287673i −0.836160 0.548486i \(-0.815204\pi\)
0.548486 + 0.836160i \(0.315204\pi\)
\(182\) −9.22952 + 35.2840i −0.684138 + 2.61542i
\(183\) 11.3582 0.101389i 0.839621 0.00749486i
\(184\) −0.915885 + 0.550826i −0.0675199 + 0.0406075i
\(185\) −1.44319 2.49968i −0.106106 0.183780i
\(186\) −1.59964 1.55273i −0.117291 0.113852i
\(187\) −13.0882 + 3.50698i −0.957105 + 0.256455i
\(188\) −0.148263 0.249880i −0.0108132 0.0182244i
\(189\) 19.2747 5.72200i 1.40203 0.416214i
\(190\) −2.92527 + 5.13710i −0.212221 + 0.372684i
\(191\) 2.49854 4.32759i 0.180788 0.313134i −0.761361 0.648328i \(-0.775469\pi\)
0.942149 + 0.335194i \(0.108802\pi\)
\(192\) −13.5310 2.98536i −0.976515 0.215450i
\(193\) 8.77894 + 15.2056i 0.631922 + 1.09452i 0.987158 + 0.159744i \(0.0510670\pi\)
−0.355237 + 0.934776i \(0.615600\pi\)
\(194\) 14.3465 0.0854112i 1.03002 0.00613217i
\(195\) −7.87248 7.73318i −0.563760 0.553784i
\(196\) 15.9438 0.189849i 1.13885 0.0135606i
\(197\) −14.4859 14.4859i −1.03208 1.03208i −0.999468 0.0326073i \(-0.989619\pi\)
−0.0326073 0.999468i \(-0.510381\pi\)
\(198\) −14.7372 + 4.32733i −1.04733 + 0.307530i
\(199\) −0.627801 −0.0445037 −0.0222518 0.999752i \(-0.507084\pi\)
−0.0222518 + 0.999752i \(0.507084\pi\)
\(200\) −10.1106 5.59902i −0.714927 0.395910i
\(201\) −2.08521 1.17920i −0.147079 0.0831746i
\(202\) 0.755731 + 0.746786i 0.0531731 + 0.0525437i
\(203\) −16.0268 4.29437i −1.12486 0.301406i
\(204\) 9.35699 + 8.97503i 0.655121 + 0.628378i
\(205\) −6.77513 + 1.81539i −0.473196 + 0.126792i
\(206\) −9.71192 + 17.0552i −0.676662 + 1.18829i
\(207\) 1.13341 0.0202364i 0.0787777 0.00140653i
\(208\) −25.5792 + 7.51111i −1.77360 + 0.520802i
\(209\) 13.7095 + 7.91517i 0.948305 + 0.547504i
\(210\) −4.41307 + 7.91329i −0.304531 + 0.546069i
\(211\) 3.81624 + 1.02256i 0.262721 + 0.0703959i 0.387775 0.921754i \(-0.373244\pi\)
−0.125054 + 0.992150i \(0.539910\pi\)
\(212\) 15.4425 4.33551i 1.06059 0.297764i
\(213\) −4.28481 + 16.5818i −0.293590 + 1.13616i
\(214\) −3.02399 0.791010i −0.206715 0.0540723i
\(215\) 2.44850i 0.166986i
\(216\) 10.8457 + 9.91821i 0.737956 + 0.674848i
\(217\) 3.52161i 0.239062i
\(218\) −3.39830 + 12.9915i −0.230162 + 0.879897i
\(219\) −2.88377 + 11.1599i −0.194867 + 0.754117i
\(220\) 3.38917 6.03503i 0.228498 0.406882i
\(221\) 24.0952 + 6.45628i 1.62082 + 0.434296i
\(222\) 6.45938 + 3.60226i 0.433525 + 0.241768i
\(223\) −1.71289 0.988940i −0.114704 0.0662243i 0.441550 0.897236i \(-0.354429\pi\)
−0.556254 + 0.831012i \(0.687762\pi\)
\(224\) 11.5037 + 18.6221i 0.768626 + 1.24424i
\(225\) 6.31777 + 10.5050i 0.421184 + 0.700335i
\(226\) −19.4619 11.0824i −1.29459 0.737190i
\(227\) −28.7220 + 7.69603i −1.90634 + 0.510803i −0.911252 + 0.411848i \(0.864883\pi\)
−0.995092 + 0.0989551i \(0.968450\pi\)
\(228\) −0.315548 15.1443i −0.0208976 1.00296i
\(229\) −14.2508 3.81849i −0.941720 0.252333i −0.244875 0.969555i \(-0.578747\pi\)
−0.696845 + 0.717222i \(0.745414\pi\)
\(230\) −0.359064 + 0.363365i −0.0236760 + 0.0239596i
\(231\) 21.1199 + 11.9435i 1.38958 + 0.785823i
\(232\) −3.34777 11.6571i −0.219792 0.765329i
\(233\) −11.5384 −0.755904 −0.377952 0.925825i \(-0.623372\pi\)
−0.377952 + 0.925825i \(0.623372\pi\)
\(234\) 27.4793 + 6.66624i 1.79638 + 0.435786i
\(235\) −0.0982018 0.0982018i −0.00640598 0.00640598i
\(236\) −5.77974 + 5.91904i −0.376229 + 0.385297i
\(237\) 3.11693 + 3.06178i 0.202466 + 0.198884i
\(238\) −0.121934 20.4811i −0.00790378 1.32759i
\(239\) −8.60624 14.9065i −0.556692 0.964218i −0.997770 0.0667495i \(-0.978737\pi\)
0.441078 0.897469i \(-0.354596\pi\)
\(240\) −6.61949 + 0.216799i −0.427286 + 0.0139943i
\(241\) 4.64695 8.04875i 0.299336 0.518466i −0.676648 0.736307i \(-0.736568\pi\)
0.975984 + 0.217841i \(0.0699014\pi\)
\(242\) −2.58831 1.47389i −0.166383 0.0947451i
\(243\) −4.70237 14.8623i −0.301657 0.953416i
\(244\) 3.24354 12.7084i 0.207647 0.813574i
\(245\) 7.36163 1.97254i 0.470317 0.126021i
\(246\) 12.5181 12.8963i 0.798125 0.822237i
\(247\) −14.5717 25.2389i −0.927175 1.60591i
\(248\) −2.20596 + 1.32670i −0.140079 + 0.0842455i
\(249\) 0.468083 0.00417833i 0.0296636 0.000264791i
\(250\) −11.8839 3.10858i −0.751606 0.196604i
\(251\) −20.7722 + 20.7722i −1.31113 + 1.31113i −0.390545 + 0.920584i \(0.627714\pi\)
−0.920584 + 0.390545i \(0.872286\pi\)
\(252\) −0.690807 23.2063i −0.0435167 1.46186i
\(253\) 0.967295 + 0.967295i 0.0608133 + 0.0608133i
\(254\) 12.7534 7.46478i 0.800221 0.468382i
\(255\) 5.39439 + 3.05058i 0.337810 + 0.191035i
\(256\) −7.33124 + 14.2216i −0.458202 + 0.888848i
\(257\) −1.51801 + 0.876421i −0.0946906 + 0.0546697i −0.546598 0.837395i \(-0.684077\pi\)
0.451907 + 0.892065i \(0.350744\pi\)
\(258\) −3.21746 5.38610i −0.200310 0.335324i
\(259\) −3.02385 11.2852i −0.187893 0.701227i
\(260\) −10.9587 + 6.50218i −0.679628 + 0.403248i
\(261\) −3.10711 + 12.4832i −0.192325 + 0.772689i
\(262\) 25.8254 7.08494i 1.59550 0.437709i
\(263\) 0.172109 + 0.0993674i 0.0106127 + 0.00612726i 0.505297 0.862946i \(-0.331383\pi\)
−0.494684 + 0.869073i \(0.664716\pi\)
\(264\) 0.475014 + 17.7291i 0.0292351 + 1.09115i
\(265\) 6.63940 3.83326i 0.407855 0.235475i
\(266\) −16.8189 + 17.0204i −1.03124 + 1.04359i
\(267\) −9.84144 2.54307i −0.602287 0.155634i
\(268\) −1.93252 + 1.97910i −0.118048 + 0.120893i
\(269\) 16.7454 16.7454i 1.02098 1.02098i 0.0212085 0.999775i \(-0.493249\pi\)
0.999775 0.0212085i \(-0.00675138\pi\)
\(270\) 6.19534 + 3.31142i 0.377036 + 0.201527i
\(271\) 16.8714i 1.02487i −0.858727 0.512433i \(-0.828744\pi\)
0.858727 0.512433i \(-0.171256\pi\)
\(272\) 12.7836 7.79224i 0.775119 0.472474i
\(273\) −22.6783 38.4826i −1.37255 2.32907i
\(274\) 22.4513 0.133663i 1.35633 0.00807489i
\(275\) −3.82867 + 14.2888i −0.230878 + 0.861647i
\(276\) 0.312372 1.27114i 0.0188026 0.0765138i
\(277\) 7.58262 + 28.2987i 0.455595 + 1.70031i 0.686331 + 0.727289i \(0.259220\pi\)
−0.230736 + 0.973016i \(0.574113\pi\)
\(278\) 23.2097 6.36735i 1.39202 0.381888i
\(279\) 2.72990 0.0487406i 0.163435 0.00291802i
\(280\) 7.52893 + 7.26469i 0.449940 + 0.434148i
\(281\) 3.41297 5.91144i 0.203601 0.352647i −0.746085 0.665851i \(-0.768069\pi\)
0.949686 + 0.313203i \(0.101402\pi\)
\(282\) 0.345062 + 0.0869775i 0.0205481 + 0.00517944i
\(283\) −2.54482 + 9.49738i −0.151274 + 0.564561i 0.848122 + 0.529801i \(0.177733\pi\)
−0.999396 + 0.0347600i \(0.988933\pi\)
\(284\) 17.2430 + 9.68334i 1.02318 + 0.574600i
\(285\) −1.93625 6.97649i −0.114694 0.413251i
\(286\) 17.2368 + 29.4488i 1.01923 + 1.74134i
\(287\) −28.3912 −1.67588
\(288\) 14.2764 9.17526i 0.841243 0.540657i
\(289\) 2.99129 0.175959
\(290\) −2.92837 5.00306i −0.171960 0.293790i
\(291\) −12.3132 + 12.5350i −0.721814 + 0.734816i
\(292\) 11.6049 + 6.51711i 0.679126 + 0.381385i
\(293\) 0.497626 1.85716i 0.0290716 0.108497i −0.949865 0.312659i \(-0.898780\pi\)
0.978937 + 0.204162i \(0.0654470\pi\)
\(294\) −13.6018 + 14.0127i −0.793271 + 0.817236i
\(295\) −1.97712 + 3.42448i −0.115112 + 0.199381i
\(296\) 5.92995 6.14564i 0.344671 0.357208i
\(297\) 8.96609 16.5371i 0.520265 0.959579i
\(298\) −9.23734 + 2.53418i −0.535105 + 0.146801i
\(299\) −0.651808 2.43258i −0.0376950 0.140680i
\(300\) 13.5933 3.94757i 0.784807 0.227913i
\(301\) −2.56512 + 9.57314i −0.147851 + 0.551787i
\(302\) −12.4309 + 0.0740068i −0.715316 + 0.00425861i
\(303\) −1.30119 + 0.0116150i −0.0747514 + 0.000667267i
\(304\) −16.9979 4.12341i −0.974899 0.236494i
\(305\) 6.26906i 0.358965i
\(306\) −15.8749 + 0.377989i −0.907510 + 0.0216082i
\(307\) −9.86559 + 9.86559i −0.563059 + 0.563059i −0.930175 0.367116i \(-0.880345\pi\)
0.367116 + 0.930175i \(0.380345\pi\)
\(308\) 19.5734 20.0452i 1.11530 1.14218i
\(309\) −6.42838 23.1620i −0.365698 1.31764i
\(310\) −0.864828 + 0.875187i −0.0491189 + 0.0497073i
\(311\) 3.17139 1.83100i 0.179833 0.103827i −0.407381 0.913258i \(-0.633558\pi\)
0.587214 + 0.809432i \(0.300225\pi\)
\(312\) 15.5622 28.7035i 0.881034 1.62501i
\(313\) −1.08050 0.623827i −0.0610735 0.0352608i 0.469152 0.883117i \(-0.344560\pi\)
−0.530226 + 0.847856i \(0.677893\pi\)
\(314\) 10.3163 2.83019i 0.582185 0.159717i
\(315\) −3.06300 10.6659i −0.172581 0.600954i
\(316\) 4.33884 2.57439i 0.244079 0.144821i
\(317\) −0.407988 1.52263i −0.0229149 0.0855195i 0.953521 0.301325i \(-0.0974289\pi\)
−0.976436 + 0.215806i \(0.930762\pi\)
\(318\) −9.56794 + 17.1567i −0.536544 + 0.962102i
\(319\) −13.4439 + 7.76183i −0.752713 + 0.434579i
\(320\) −1.71428 + 7.45302i −0.0958310 + 0.416636i
\(321\) 3.29812 1.94363i 0.184083 0.108483i
\(322\) −1.78454 + 1.04452i −0.0994484 + 0.0582087i
\(323\) 11.5728 + 11.5728i 0.643925 + 0.643925i
\(324\) −17.9796 + 0.856688i −0.998867 + 0.0475938i
\(325\) 19.2569 19.2569i 1.06818 1.06818i
\(326\) −7.51590 1.96600i −0.416267 0.108886i
\(327\) −8.35013 14.1692i −0.461763 0.783561i
\(328\) −10.6959 17.7845i −0.590580 0.981984i
\(329\) −0.281070 0.486828i −0.0154959 0.0268397i
\(330\) 2.31564 + 8.15475i 0.127472 + 0.448904i
\(331\) 9.11372 2.44201i 0.500935 0.134225i 0.000501334 1.00000i \(-0.499840\pi\)
0.500434 + 0.865775i \(0.333174\pi\)
\(332\) 0.133670 0.523728i 0.00733609 0.0287433i
\(333\) −8.70624 + 2.50024i −0.477099 + 0.137012i
\(334\) 23.0706 + 13.1373i 1.26237 + 0.718842i
\(335\) −0.661073 + 1.14501i −0.0361183 + 0.0625587i
\(336\) −26.1080 6.08711i −1.42431 0.332079i
\(337\) 6.84951 + 11.8637i 0.373117 + 0.646257i 0.990043 0.140764i \(-0.0449558\pi\)
−0.616927 + 0.787021i \(0.711622\pi\)
\(338\) −0.264532 44.4332i −0.0143886 2.41685i
\(339\) 26.4305 7.33551i 1.43551 0.398410i
\(340\) 4.99940 5.11989i 0.271130 0.277665i
\(341\) 2.32979 + 2.32979i 0.126165 + 0.126165i
\(342\) 13.4267 + 12.8022i 0.726035 + 0.692265i
\(343\) 3.76296 0.203181
\(344\) −6.96305 + 1.99969i −0.375423 + 0.107816i
\(345\) −0.00558466 0.625628i −0.000300668 0.0336827i
\(346\) 4.59888 4.65396i 0.247237 0.250199i
\(347\) 4.97851 + 1.33399i 0.267260 + 0.0716122i 0.389960 0.920832i \(-0.372489\pi\)
−0.122700 + 0.992444i \(0.539155\pi\)
\(348\) 13.0160 + 7.15747i 0.697729 + 0.383681i
\(349\) 22.5875 6.05230i 1.20908 0.323972i 0.402679 0.915341i \(-0.368079\pi\)
0.806401 + 0.591369i \(0.201412\pi\)
\(350\) −19.4308 11.0646i −1.03862 0.591430i
\(351\) −29.5172 + 18.1125i −1.57551 + 0.966773i
\(352\) 19.9304 + 4.70931i 1.06229 + 0.251007i
\(353\) −25.4729 14.7068i −1.35578 0.782762i −0.366732 0.930327i \(-0.619523\pi\)
−0.989052 + 0.147564i \(0.952857\pi\)
\(354\) −0.150757 10.1310i −0.00801267 0.538459i
\(355\) 9.13034 + 2.44647i 0.484588 + 0.129845i
\(356\) −5.74715 + 10.2339i −0.304599 + 0.542393i
\(357\) 17.8951 + 17.5784i 0.947108 + 0.930349i
\(358\) −8.45632 + 32.3281i −0.446931 + 1.70859i
\(359\) 21.1351i 1.11547i 0.830020 + 0.557734i \(0.188329\pi\)
−0.830020 + 0.557734i \(0.811671\pi\)
\(360\) 5.52727 5.93686i 0.291313 0.312900i
\(361\) 0.120784i 0.00635708i
\(362\) −7.48854 1.95884i −0.393589 0.102954i
\(363\) 3.51508 0.975575i 0.184494 0.0512044i
\(364\) −49.6580 + 13.9416i −2.60279 + 0.730738i
\(365\) 6.14493 + 1.64653i 0.321640 + 0.0861833i
\(366\) 8.23787 + 13.7904i 0.430600 + 0.720835i
\(367\) 19.9277 + 11.5053i 1.04022 + 0.600569i 0.919895 0.392166i \(-0.128274\pi\)
0.120322 + 0.992735i \(0.461607\pi\)
\(368\) −1.32659 0.724347i −0.0691531 0.0377592i
\(369\) 0.392947 + 22.0084i 0.0204560 + 1.14571i
\(370\) 2.01990 3.54717i 0.105010 0.184409i
\(371\) 29.9745 8.03165i 1.55620 0.416982i
\(372\) 0.752368 3.06163i 0.0390084 0.158738i
\(373\) 9.82636 + 2.63297i 0.508790 + 0.136330i 0.504076 0.863659i \(-0.331833\pi\)
0.00471336 + 0.999989i \(0.498500\pi\)
\(374\) −13.6303 13.4690i −0.704808 0.696466i
\(375\) 12.9612 7.63824i 0.669316 0.394437i
\(376\) 0.199065 0.359468i 0.0102660 0.0185381i
\(377\) 28.5788 1.47188
\(378\) 20.7534 + 19.4374i 1.06744 + 0.999751i
\(379\) −15.2258 15.2258i −0.782098 0.782098i 0.198086 0.980185i \(-0.436527\pi\)
−0.980185 + 0.198086i \(0.936527\pi\)
\(380\) −8.35966 + 0.0995415i −0.428842 + 0.00510637i
\(381\) −4.52803 + 17.5230i −0.231978 + 0.897731i
\(382\) 7.06680 0.0420720i 0.361569 0.00215259i
\(383\) 4.43034 + 7.67358i 0.226380 + 0.392102i 0.956733 0.290969i \(-0.0939776\pi\)
−0.730353 + 0.683070i \(0.760644\pi\)
\(384\) −6.02266 18.6475i −0.307343 0.951599i
\(385\) 6.69563 11.5972i 0.341241 0.591046i
\(386\) −12.2871 + 21.5775i −0.625395 + 1.09826i
\(387\) 7.45645 + 1.85594i 0.379033 + 0.0943428i
\(388\) 10.3531 + 17.4490i 0.525601 + 0.885840i
\(389\) −29.6607 + 7.94756i −1.50386 + 0.402957i −0.914390 0.404835i \(-0.867329\pi\)
−0.589467 + 0.807792i \(0.700662\pi\)
\(390\) 3.81446 15.1329i 0.193153 0.766286i
\(391\) 0.707140 + 1.22480i 0.0357616 + 0.0619409i
\(392\) 11.6218 + 19.3240i 0.586988 + 0.976012i
\(393\) −16.1449 + 28.5493i −0.814402 + 1.44012i
\(394\) 7.33170 28.0287i 0.369366 1.41207i
\(395\) 1.70514 1.70514i 0.0857951 0.0857951i
\(396\) −15.8096 14.8956i −0.794462 0.748530i
\(397\) 13.1585 + 13.1585i 0.660408 + 0.660408i 0.955476 0.295068i \(-0.0953425\pi\)
−0.295068 + 0.955476i \(0.595342\pi\)
\(398\) −0.448492 0.766240i −0.0224809 0.0384082i
\(399\) −0.261591 29.3051i −0.0130959 1.46709i
\(400\) −0.389187 16.3400i −0.0194594 0.816999i
\(401\) 30.5262 17.6243i 1.52440 0.880115i 0.524822 0.851212i \(-0.324132\pi\)
0.999582 0.0289028i \(-0.00920133\pi\)
\(402\) −0.0504075 3.38743i −0.00251410 0.168950i
\(403\) −1.56992 5.85902i −0.0782033 0.291859i
\(404\) −0.371579 + 1.45587i −0.0184867 + 0.0724324i
\(405\) −8.22563 + 2.52201i −0.408735 + 0.125320i
\(406\) −6.20798 22.6288i −0.308097 1.12305i
\(407\) −9.46642 5.46544i −0.469233 0.270912i
\(408\) −4.26964 + 17.8320i −0.211379 + 0.882814i
\(409\) −1.13193 + 0.653522i −0.0559705 + 0.0323146i −0.527724 0.849416i \(-0.676955\pi\)
0.471754 + 0.881730i \(0.343621\pi\)
\(410\) −7.05577 6.97225i −0.348459 0.344335i
\(411\) −19.2694 + 19.6165i −0.950490 + 0.967612i
\(412\) −27.7542 + 0.330479i −1.36735 + 0.0162815i
\(413\) −11.3177 + 11.3177i −0.556908 + 0.556908i
\(414\) 0.834393 + 1.36889i 0.0410082 + 0.0672773i
\(415\) 0.258355i 0.0126821i
\(416\) −27.4408 25.8539i −1.34540 1.26759i
\(417\) −14.5097 + 25.6577i −0.710541 + 1.25646i
\(418\) 0.133281 + 22.3871i 0.00651898 + 1.09499i
\(419\) −1.26804 + 4.73240i −0.0619480 + 0.231193i −0.989958 0.141362i \(-0.954852\pi\)
0.928010 + 0.372555i \(0.121518\pi\)
\(420\) −12.8109 + 0.266929i −0.625109 + 0.0130248i
\(421\) −3.68148 13.7395i −0.179425 0.669621i −0.995756 0.0920372i \(-0.970662\pi\)
0.816331 0.577584i \(-0.196005\pi\)
\(422\) 1.47822 + 5.38828i 0.0719587 + 0.262297i
\(423\) −0.373491 + 0.224619i −0.0181598 + 0.0109214i
\(424\) 16.3234 + 15.7505i 0.792735 + 0.764912i
\(425\) −7.64687 + 13.2448i −0.370928 + 0.642465i
\(426\) −23.2993 + 6.61612i −1.12885 + 0.320552i
\(427\) 6.56763 24.5107i 0.317830 1.18616i
\(428\) −1.19485 4.25590i −0.0577555 0.205717i
\(429\) −40.4622 10.4556i −1.95353 0.504802i
\(430\) −2.98843 + 1.74917i −0.144115 + 0.0843527i
\(431\) 28.6229 1.37871 0.689357 0.724422i \(-0.257893\pi\)
0.689357 + 0.724422i \(0.257893\pi\)
\(432\) −4.35729 + 20.3227i −0.209640 + 0.977779i
\(433\) −15.4438 −0.742181 −0.371091 0.928597i \(-0.621016\pi\)
−0.371091 + 0.928597i \(0.621016\pi\)
\(434\) −4.29817 + 2.51579i −0.206319 + 0.120762i
\(435\) 6.87413 + 1.77631i 0.329589 + 0.0851674i
\(436\) −18.2840 + 5.13328i −0.875646 + 0.245840i
\(437\) 0.427647 1.59600i 0.0204571 0.0763471i
\(438\) −15.6810 + 4.45280i −0.749265 + 0.212763i
\(439\) 7.33448 12.7037i 0.350056 0.606314i −0.636203 0.771522i \(-0.719496\pi\)
0.986259 + 0.165207i \(0.0528293\pi\)
\(440\) 9.78701 0.174817i 0.466577 0.00833405i
\(441\) −0.426963 23.9136i −0.0203316 1.13874i
\(442\) 9.33326 + 34.0207i 0.443938 + 1.61820i
\(443\) 3.92938 + 14.6646i 0.186690 + 0.696738i 0.994262 + 0.106969i \(0.0341145\pi\)
−0.807572 + 0.589769i \(0.799219\pi\)
\(444\) 0.217886 + 10.4572i 0.0103404 + 0.496275i
\(445\) −1.45200 + 5.41894i −0.0688315 + 0.256883i
\(446\) −0.0166524 2.79709i −0.000788515 0.132446i
\(447\) 5.77478 10.2116i 0.273138 0.482994i
\(448\) −14.5104 + 27.3438i −0.685554 + 1.29188i
\(449\) 24.2954i 1.14657i −0.819356 0.573285i \(-0.805669\pi\)
0.819356 0.573285i \(-0.194331\pi\)
\(450\) −8.30821 + 15.2156i −0.391653 + 0.717268i
\(451\) −18.7828 + 18.7828i −0.884446 + 0.884446i
\(452\) −0.377114 31.6707i −0.0177380 1.48966i
\(453\) 10.6691 10.8613i 0.501279 0.510309i
\(454\) −29.9117 29.5576i −1.40382 1.38721i
\(455\) −21.3502 + 12.3265i −1.00091 + 0.577877i
\(456\) 18.2584 11.2040i 0.855028 0.524675i
\(457\) 28.9197 + 16.6968i 1.35281 + 0.781043i 0.988642 0.150292i \(-0.0480213\pi\)
0.364164 + 0.931335i \(0.381355\pi\)
\(458\) −5.52005 20.1212i −0.257935 0.940201i
\(459\) 13.3789 14.1153i 0.624471 0.658845i
\(460\) −0.700002 0.178660i −0.0326378 0.00833006i
\(461\) 1.92845 + 7.19708i 0.0898170 + 0.335201i 0.996183 0.0872924i \(-0.0278215\pi\)
−0.906366 + 0.422494i \(0.861155\pi\)
\(462\) 0.510548 + 34.3093i 0.0237528 + 1.59621i
\(463\) 25.3264 14.6222i 1.17702 0.679550i 0.221693 0.975116i \(-0.428842\pi\)
0.955322 + 0.295566i \(0.0955083\pi\)
\(464\) 11.8361 12.4137i 0.549478 0.576291i
\(465\) −0.0134510 1.50686i −0.000623775 0.0698792i
\(466\) −8.24285 14.0827i −0.381843 0.652371i
\(467\) −26.1748 26.1748i −1.21123 1.21123i −0.970623 0.240604i \(-0.922654\pi\)
−0.240604 0.970623i \(-0.577346\pi\)
\(468\) 11.4946 + 38.3012i 0.531338 + 1.77047i
\(469\) −3.78421 + 3.78421i −0.174738 + 0.174738i
\(470\) 0.0497027 0.190011i 0.00229261 0.00876453i
\(471\) −6.44933 + 11.4045i −0.297169 + 0.525490i
\(472\) −11.3532 2.82577i −0.522575 0.130067i
\(473\) 4.63630 + 8.03030i 0.213177 + 0.369234i
\(474\) −1.51025 + 5.99154i −0.0693680 + 0.275201i
\(475\) 17.2588 4.62449i 0.791889 0.212186i
\(476\) 24.9103 14.7802i 1.14176 0.677450i
\(477\) −6.64087 23.1246i −0.304064 1.05880i
\(478\) 12.0453 21.1530i 0.550941 0.967515i
\(479\) −11.3632 + 19.6817i −0.519199 + 0.899279i 0.480552 + 0.876966i \(0.340436\pi\)
−0.999751 + 0.0223127i \(0.992897\pi\)
\(480\) −4.99347 7.92430i −0.227920 0.361693i
\(481\) 10.0618 + 17.4275i 0.458777 + 0.794626i
\(482\) 13.1433 0.0782484i 0.598662 0.00356412i
\(483\) 0.633590 2.45193i 0.0288293 0.111567i
\(484\) −0.0501537 4.21199i −0.00227972 0.191454i
\(485\) 6.85739 + 6.85739i 0.311378 + 0.311378i
\(486\) 14.7803 16.3567i 0.670449 0.741956i
\(487\) −1.44462 −0.0654620 −0.0327310 0.999464i \(-0.510420\pi\)
−0.0327310 + 0.999464i \(0.510420\pi\)
\(488\) 17.8280 5.11994i 0.807034 0.231769i
\(489\) 8.19724 4.83075i 0.370692 0.218454i
\(490\) 7.66656 + 7.57582i 0.346340 + 0.342240i
\(491\) 5.81109 + 1.55708i 0.262251 + 0.0702699i 0.387549 0.921849i \(-0.373322\pi\)
−0.125298 + 0.992119i \(0.539989\pi\)
\(492\) 24.6828 + 6.06559i 1.11279 + 0.273458i
\(493\) −15.5024 + 4.15386i −0.698193 + 0.187080i
\(494\) 20.3946 35.8153i 0.917598 1.61140i
\(495\) −9.08261 5.02984i −0.408233 0.226074i
\(496\) −3.19516 1.74463i −0.143467 0.0783364i
\(497\) 33.1348 + 19.1304i 1.48630 + 0.858114i
\(498\) 0.339491 + 0.568317i 0.0152130 + 0.0254669i
\(499\) 5.08052 + 1.36132i 0.227435 + 0.0609411i 0.370737 0.928738i \(-0.379105\pi\)
−0.143302 + 0.989679i \(0.545772\pi\)
\(500\) −4.69565 16.7252i −0.209996 0.747975i
\(501\) −31.3313 + 8.69567i −1.39978 + 0.388494i
\(502\) −40.1921 10.5134i −1.79386 0.469235i
\(503\) 10.8120i 0.482085i 0.970515 + 0.241043i \(0.0774893\pi\)
−0.970515 + 0.241043i \(0.922511\pi\)
\(504\) 27.8301 17.4214i 1.23965 0.776010i
\(505\) 0.718181i 0.0319586i
\(506\) −0.489575 + 1.87162i −0.0217643 + 0.0832036i
\(507\) 38.8229 + 38.1359i 1.72419 + 1.69368i
\(508\) 18.2217 + 10.2330i 0.808458 + 0.454016i
\(509\) −25.8141 6.91687i −1.14419 0.306585i −0.363556 0.931572i \(-0.618437\pi\)
−0.780635 + 0.624988i \(0.785104\pi\)
\(510\) 0.130403 + 8.76321i 0.00577435 + 0.388042i
\(511\) 22.3005 + 12.8752i 0.986515 + 0.569564i
\(512\) −22.5949 + 1.21181i −0.998565 + 0.0535550i
\(513\) −22.7132 + 0.608377i −1.00281 + 0.0268605i
\(514\) −2.15413 1.22664i −0.0950144 0.0541050i
\(515\) −12.8147 + 3.43370i −0.564685 + 0.151307i
\(516\) 4.27530 7.77471i 0.188210 0.342262i
\(517\) −0.508018 0.136123i −0.0223426 0.00598668i
\(518\) 11.6135 11.7526i 0.510268 0.516380i
\(519\) 0.0715280 + 8.01302i 0.00313973 + 0.351732i
\(520\) −15.7647 8.73014i −0.691328 0.382842i
\(521\) −41.1590 −1.80321 −0.901605 0.432560i \(-0.857610\pi\)
−0.901605 + 0.432560i \(0.857610\pi\)
\(522\) −17.4556 + 5.12553i −0.764009 + 0.224338i
\(523\) 5.58726 + 5.58726i 0.244314 + 0.244314i 0.818632 0.574318i \(-0.194733\pi\)
−0.574318 + 0.818632i \(0.694733\pi\)
\(524\) 27.0965 + 26.4588i 1.18372 + 1.15586i
\(525\) 26.3881 7.32375i 1.15167 0.319635i
\(526\) 0.00167321 + 0.281048i 7.29556e−5 + 0.0122543i
\(527\) 1.70319 + 2.95001i 0.0741921 + 0.128505i
\(528\) −21.2993 + 13.2452i −0.926933 + 0.576423i
\(529\) −11.4286 + 19.7949i −0.496896 + 0.860649i
\(530\) 9.42164 + 5.36505i 0.409250 + 0.233043i
\(531\) 8.92996 + 8.61667i 0.387527 + 0.373932i
\(532\) −32.7889 8.36862i −1.42158 0.362826i
\(533\) 47.2355 12.6567i 2.04599 0.548223i
\(534\) −3.92673 13.8284i −0.169926 0.598411i
\(535\) −1.05644 1.82980i −0.0456737 0.0791092i
\(536\) −3.79608 0.944830i −0.163966 0.0408104i
\(537\) −20.7784 35.2587i −0.896656 1.52152i
\(538\) 32.4006 + 8.47530i 1.39689 + 0.365396i
\(539\) 20.4087 20.4087i 0.879067 0.879067i
\(540\) 0.384228 + 9.92713i 0.0165345 + 0.427196i
\(541\) −17.0189 17.0189i −0.731702 0.731702i 0.239255 0.970957i \(-0.423097\pi\)
−0.970957 + 0.239255i \(0.923097\pi\)
\(542\) 20.5918 12.0527i 0.884494 0.517708i
\(543\) 8.16740 4.81316i 0.350497 0.206553i
\(544\) 18.6430 + 10.0359i 0.799310 + 0.430285i
\(545\) −7.86112 + 4.53862i −0.336733 + 0.194413i
\(546\) 30.7674 55.1706i 1.31672 2.36108i
\(547\) −6.95876 25.9705i −0.297535 1.11042i −0.939183 0.343417i \(-0.888416\pi\)
0.641648 0.767000i \(-0.278251\pi\)
\(548\) 16.2020 + 27.3066i 0.692116 + 1.16648i
\(549\) −19.0912 4.75189i −0.814794 0.202806i
\(550\) −20.1748 + 5.53477i −0.860258 + 0.236003i
\(551\) 16.2383 + 9.37517i 0.691774 + 0.399396i
\(552\) 1.77460 0.526832i 0.0755321 0.0224235i
\(553\) 8.45312 4.88041i 0.359463 0.207536i
\(554\) −29.1221 + 29.4709i −1.23728 + 1.25210i
\(555\) 1.33698 + 4.81727i 0.0567518 + 0.204482i
\(556\) 24.3521 + 23.7790i 1.03276 + 1.00845i
\(557\) 8.91025 8.91025i 0.377539 0.377539i −0.492674 0.870214i \(-0.663981\pi\)
0.870214 + 0.492674i \(0.163981\pi\)
\(558\) 2.00969 + 3.29706i 0.0850768 + 0.139576i
\(559\) 17.0707i 0.722013i
\(560\) −3.48809 + 14.3790i −0.147399 + 0.607622i
\(561\) 23.4682 0.209488i 0.990828 0.00884461i
\(562\) 9.65318 0.0574699i 0.407195 0.00242422i
\(563\) 2.93610 10.9577i 0.123742 0.461811i −0.876050 0.482221i \(-0.839830\pi\)
0.999792 + 0.0204094i \(0.00649695\pi\)
\(564\) 0.140350 + 0.483288i 0.00590981 + 0.0203501i
\(565\) −3.91824 14.6231i −0.164842 0.615197i
\(566\) −13.4097 + 3.67881i −0.563650 + 0.154632i
\(567\) −34.8027 + 1.24316i −1.46157 + 0.0522077i
\(568\) 0.499476 + 27.9629i 0.0209575 + 1.17330i
\(569\) −11.0917 + 19.2114i −0.464989 + 0.805384i −0.999201 0.0399662i \(-0.987275\pi\)
0.534212 + 0.845350i \(0.320608\pi\)
\(570\) 7.13167 7.34712i 0.298713 0.307737i
\(571\) 1.44185 5.38105i 0.0603394 0.225190i −0.929171 0.369650i \(-0.879478\pi\)
0.989511 + 0.144460i \(0.0461444\pi\)
\(572\) −23.6289 + 42.0756i −0.987973 + 1.75927i
\(573\) −6.06527 + 6.17452i −0.253380 + 0.257944i
\(574\) −20.2823 34.6519i −0.846566 1.44634i
\(575\) 1.54401 0.0643898
\(576\) 21.3974 + 10.8698i 0.891557 + 0.452909i
\(577\) −17.9547 −0.747466 −0.373733 0.927536i \(-0.621922\pi\)
−0.373733 + 0.927536i \(0.621922\pi\)
\(578\) 2.13694 + 3.65092i 0.0888849 + 0.151858i
\(579\) −8.13287 29.3035i −0.337991 1.21781i
\(580\) 4.01432 7.14823i 0.166685 0.296814i
\(581\) 0.270659 1.01011i 0.0112288 0.0419066i
\(582\) −24.0956 6.07361i −0.998793 0.251759i
\(583\) 14.5167 25.1437i 0.601222 1.04135i
\(584\) 0.336159 + 18.8197i 0.0139104 + 0.778764i
\(585\) 9.85083 + 16.3797i 0.407282 + 0.677218i
\(586\) 2.62219 0.719372i 0.108322 0.0297170i
\(587\) −7.51380 28.0419i −0.310128 1.15741i −0.928441 0.371480i \(-0.878850\pi\)
0.618313 0.785932i \(-0.287816\pi\)
\(588\) −26.8196 6.59067i −1.10602 0.271795i
\(589\) 1.03001 3.84407i 0.0424410 0.158392i
\(590\) −5.59205 + 0.0332921i −0.230221 + 0.00137061i
\(591\) 18.0151 + 30.5696i 0.741041 + 1.25746i
\(592\) 11.7371 + 2.84722i 0.482392 + 0.117020i
\(593\) 0.243119i 0.00998372i −0.999988 0.00499186i \(-0.998411\pi\)
0.999988 0.00499186i \(-0.00158896\pi\)
\(594\) 26.5890 0.870625i 1.09096 0.0357222i
\(595\) 9.78966 9.78966i 0.401337 0.401337i
\(596\) −9.69202 9.46392i −0.397001 0.387657i
\(597\) 1.05280 + 0.272049i 0.0430883 + 0.0111342i
\(598\) 2.50336 2.53334i 0.102370 0.103596i
\(599\) −0.307246 + 0.177389i −0.0125537 + 0.00724791i −0.506264 0.862379i \(-0.668974\pi\)
0.493710 + 0.869627i \(0.335640\pi\)
\(600\) 14.5289 + 13.7707i 0.593139 + 0.562185i
\(601\) 12.9273 + 7.46358i 0.527316 + 0.304446i 0.739923 0.672692i \(-0.234862\pi\)
−0.212607 + 0.977138i \(0.568195\pi\)
\(602\) −13.5166 + 3.70816i −0.550897 + 0.151133i
\(603\) 2.98583 + 2.88108i 0.121593 + 0.117327i
\(604\) −8.97076 15.1192i −0.365015 0.615191i
\(605\) −0.521101 1.94477i −0.0211858 0.0790663i
\(606\) −0.943727 1.57982i −0.0383363 0.0641759i
\(607\) −35.2640 + 20.3597i −1.43132 + 0.826375i −0.997222 0.0744894i \(-0.976267\pi\)
−0.434101 + 0.900864i \(0.642934\pi\)
\(608\) −7.11041 23.6919i −0.288365 0.960834i
\(609\) 25.0155 + 14.1465i 1.01368 + 0.573246i
\(610\) 7.65147 4.47853i 0.309799 0.181330i
\(611\) 0.684652 + 0.684652i 0.0276980 + 0.0276980i
\(612\) −11.8022 19.1056i −0.477074 0.772296i
\(613\) 30.0647 30.0647i 1.21430 1.21430i 0.244706 0.969597i \(-0.421309\pi\)
0.969597 0.244706i \(-0.0786913\pi\)
\(614\) −19.0889 4.99325i −0.770366 0.201511i
\(615\) 12.1483 0.108442i 0.489869 0.00437280i
\(616\) 38.4483 + 9.56963i 1.54913 + 0.385571i
\(617\) 10.8854 + 18.8541i 0.438231 + 0.759038i 0.997553 0.0699125i \(-0.0222720\pi\)
−0.559323 + 0.828950i \(0.688939\pi\)
\(618\) 23.6772 24.3925i 0.952438 0.981212i
\(619\) −37.7889 + 10.1255i −1.51886 + 0.406978i −0.919368 0.393399i \(-0.871299\pi\)
−0.599496 + 0.800378i \(0.704632\pi\)
\(620\) −1.68600 0.430313i −0.0677113 0.0172818i
\(621\) −1.90947 0.457213i −0.0766243 0.0183473i
\(622\) 4.50036 + 2.56268i 0.180448 + 0.102754i
\(623\) −11.3541 + 19.6658i −0.454891 + 0.787894i
\(624\) 46.1503 1.51150i 1.84749 0.0605082i
\(625\) 6.06371 + 10.5026i 0.242548 + 0.420106i
\(626\) −0.0105044 1.76442i −0.000419841 0.0705203i
\(627\) −19.5604 19.2143i −0.781168 0.767345i
\(628\) 10.8241 + 10.5694i 0.431930 + 0.421765i
\(629\) −7.99101 7.99101i −0.318622 0.318622i
\(630\) 10.8297 11.3580i 0.431465 0.452513i
\(631\) −39.4346 −1.56987 −0.784934 0.619579i \(-0.787303\pi\)
−0.784934 + 0.619579i \(0.787303\pi\)
\(632\) 6.24168 + 3.45650i 0.248281 + 0.137492i
\(633\) −5.95660 3.36852i −0.236754 0.133886i
\(634\) 1.56693 1.58570i 0.0622308 0.0629762i
\(635\) 9.64861 + 2.58534i 0.382893 + 0.102596i
\(636\) −27.7752 + 0.578726i −1.10136 + 0.0229480i
\(637\) −51.3245 + 13.7524i −2.03355 + 0.544888i
\(638\) −19.0775 10.8635i −0.755286 0.430090i
\(639\) 14.3710 25.9503i 0.568507 1.02658i
\(640\) −10.3212 + 3.23203i −0.407980 + 0.127757i
\(641\) −25.2321 14.5677i −0.996606 0.575391i −0.0893639 0.995999i \(-0.528483\pi\)
−0.907242 + 0.420608i \(0.861817\pi\)
\(642\) 4.72835 + 2.63690i 0.186613 + 0.104070i
\(643\) −0.887866 0.237903i −0.0350140 0.00938197i 0.241270 0.970458i \(-0.422436\pi\)
−0.276284 + 0.961076i \(0.589103\pi\)
\(644\) −2.54970 1.43186i −0.100472 0.0564234i
\(645\) 1.06102 4.10606i 0.0417778 0.161676i
\(646\) −5.85730 + 22.3921i −0.230452 + 0.881006i
\(647\) 36.0035i 1.41544i 0.706491 + 0.707722i \(0.250277\pi\)
−0.706491 + 0.707722i \(0.749723\pi\)
\(648\) −13.8900 21.3323i −0.545649 0.838014i
\(649\) 14.9749i 0.587817i
\(650\) 37.2602 + 9.74646i 1.46146 + 0.382288i
\(651\) 1.52604 5.90562i 0.0598102 0.231460i
\(652\) −2.96972 10.5777i −0.116303 0.414256i
\(653\) 0.824032 + 0.220799i 0.0322468 + 0.00864052i 0.274906 0.961471i \(-0.411353\pi\)
−0.242660 + 0.970112i \(0.578020\pi\)
\(654\) 11.3285 20.3138i 0.442981 0.794331i
\(655\) 15.6768 + 9.05098i 0.612542 + 0.353651i
\(656\) 14.0653 25.7594i 0.549156 1.00574i
\(657\) 9.67199 17.4652i 0.377340 0.681381i
\(658\) 0.393387 0.690832i 0.0153358 0.0269315i
\(659\) 7.69747 2.06253i 0.299851 0.0803448i −0.105757 0.994392i \(-0.533727\pi\)
0.405608 + 0.914047i \(0.367060\pi\)
\(660\) −8.29872 + 8.65190i −0.323027 + 0.336775i
\(661\) −21.2171 5.68510i −0.825249 0.221125i −0.178609 0.983920i \(-0.557160\pi\)
−0.646640 + 0.762795i \(0.723826\pi\)
\(662\) 9.49122 + 9.37888i 0.368887 + 0.364521i
\(663\) −37.6091 21.2683i −1.46062 0.825991i
\(664\) 0.734709 0.210998i 0.0285122 0.00818831i
\(665\) −16.1747 −0.627228
\(666\) −9.27118 8.83995i −0.359251 0.342541i
\(667\) 1.14572 + 1.14572i 0.0443624 + 0.0443624i
\(668\) 0.447039 + 37.5431i 0.0172965 + 1.45259i
\(669\) 2.44392 + 2.40068i 0.0944876 + 0.0928156i
\(670\) −1.86976 + 0.0111316i −0.0722353 + 0.000430051i
\(671\) −11.8706 20.5605i −0.458260 0.793730i
\(672\) −11.2218 36.2137i −0.432889 1.39697i
\(673\) 22.9778 39.7988i 0.885731 1.53413i 0.0408565 0.999165i \(-0.486991\pi\)
0.844874 0.534965i \(-0.179675\pi\)
\(674\) −9.58662 + 16.8352i −0.369263 + 0.648467i
\(675\) −6.04248 20.3543i −0.232575 0.783438i
\(676\) 54.0423 32.0653i 2.07855 1.23328i
\(677\) 7.36199 1.97264i 0.282944 0.0758147i −0.114556 0.993417i \(-0.536544\pi\)
0.397500 + 0.917602i \(0.369878\pi\)
\(678\) 27.8346 + 27.0184i 1.06898 + 1.03764i
\(679\) 19.6270 + 33.9950i 0.753216 + 1.30461i
\(680\) 9.82039 + 2.44426i 0.376595 + 0.0937329i
\(681\) 51.5008 0.459721i 1.97351 0.0176165i
\(682\) −1.17917 + 4.50791i −0.0451528 + 0.172617i
\(683\) 17.1824 17.1824i 0.657466 0.657466i −0.297314 0.954780i \(-0.596091\pi\)
0.954780 + 0.297314i \(0.0960908\pi\)
\(684\) −6.03341 + 25.5332i −0.230693 + 0.976288i
\(685\) 10.7314 + 10.7314i 0.410025 + 0.410025i
\(686\) 2.68820 + 4.59274i 0.102636 + 0.175352i
\(687\) 22.2435 + 12.5789i 0.848641 + 0.479914i
\(688\) −7.41495 7.06995i −0.282692 0.269539i
\(689\) −46.2891 + 26.7250i −1.76348 + 1.01814i
\(690\) 0.759598 0.453756i 0.0289174 0.0172742i
\(691\) 1.97900 + 7.38572i 0.0752846 + 0.280966i 0.993298 0.115584i \(-0.0368740\pi\)
−0.918013 + 0.396550i \(0.870207\pi\)
\(692\) 8.96559 + 2.28827i 0.340821 + 0.0869868i
\(693\) −30.2418 29.1808i −1.14879 1.10849i
\(694\) 1.92843 + 7.02932i 0.0732020 + 0.266829i
\(695\) 14.0890 + 8.13426i 0.534424 + 0.308550i
\(696\) 0.562633 + 20.9994i 0.0213265 + 0.795979i
\(697\) −23.7830 + 13.7311i −0.900846 + 0.520104i
\(698\) 23.5231 + 23.2446i 0.890362 + 0.879823i
\(699\) 19.3495 + 5.00000i 0.731865 + 0.189117i
\(700\) −0.376510 31.6199i −0.0142307 1.19512i
\(701\) −20.1418 + 20.1418i −0.760747 + 0.760747i −0.976457 0.215711i \(-0.930793\pi\)
0.215711 + 0.976457i \(0.430793\pi\)
\(702\) −43.1932 23.0869i −1.63022 0.871357i
\(703\) 13.2029i 0.497958i
\(704\) 8.49019 + 27.6895i 0.319986 + 1.04359i
\(705\) 0.122127 + 0.207236i 0.00459956 + 0.00780494i
\(706\) −0.247642 41.5963i −0.00932014 1.56550i
\(707\) −0.752385 + 2.80794i −0.0282964 + 0.105603i
\(708\) 12.2574 7.42147i 0.460660 0.278916i
\(709\) −8.10188 30.2366i −0.304272 1.13556i −0.933570 0.358396i \(-0.883324\pi\)
0.629297 0.777165i \(-0.283343\pi\)
\(710\) 3.53664 + 12.8914i 0.132728 + 0.483807i
\(711\) −3.90021 6.48518i −0.146269 0.243213i
\(712\) −16.5962 + 0.296444i −0.621971 + 0.0111097i
\(713\) 0.171949 0.297825i 0.00643955 0.0111536i
\(714\) −8.67072 + 34.3990i −0.324494 + 1.28735i
\(715\) −5.96977 + 22.2795i −0.223257 + 0.833206i
\(716\) −45.4979 + 12.7736i −1.70034 + 0.477373i
\(717\) 7.97289 + 28.7270i 0.297753 + 1.07283i
\(718\) −25.7957 + 15.0986i −0.962686 + 0.563475i
\(719\) −45.7985 −1.70800 −0.853999 0.520275i \(-0.825829\pi\)
−0.853999 + 0.520275i \(0.825829\pi\)
\(720\) 11.1946 + 2.50490i 0.417199 + 0.0933521i
\(721\) −53.7003 −1.99990
\(722\) 0.147419 0.0862867i 0.00548637 0.00321126i
\(723\) −11.2806 + 11.4838i −0.419530 + 0.427087i
\(724\) −2.95891 10.5392i −0.109967 0.391687i
\(725\) −4.53489 + 16.9245i −0.168422 + 0.628559i
\(726\) 3.70183 + 3.59327i 0.137388 + 0.133359i
\(727\) 4.35110 7.53632i 0.161373 0.279507i −0.773988 0.633200i \(-0.781741\pi\)
0.935361 + 0.353693i \(0.115074\pi\)
\(728\) −52.4909 50.6486i −1.94544 1.87716i
\(729\) 1.44536 + 26.9613i 0.0535319 + 0.998566i
\(730\) 2.38024 + 8.67623i 0.0880966 + 0.321122i
\(731\) 2.48118 + 9.25990i 0.0917699 + 0.342490i
\(732\) −10.9463 + 19.9061i −0.404588 + 0.735750i
\(733\) 6.74821 25.1847i 0.249251 0.930217i −0.721948 0.691947i \(-0.756753\pi\)
0.971199 0.238270i \(-0.0765802\pi\)
\(734\) 0.193733 + 32.5412i 0.00715081 + 1.20112i
\(735\) −13.2000 + 0.117829i −0.486889 + 0.00434621i
\(736\) −0.0636183 2.13658i −0.00234500 0.0787553i
\(737\) 5.00703i 0.184436i
\(738\) −26.5809 + 16.2021i −0.978456 + 0.596408i
\(739\) 4.46836 4.46836i 0.164371 0.164371i −0.620129 0.784500i \(-0.712920\pi\)
0.784500 + 0.620129i \(0.212920\pi\)
\(740\) 5.77236 0.0687336i 0.212196 0.00252670i
\(741\) 13.4993 + 48.6393i 0.495910 + 1.78681i
\(742\) 31.2161 + 30.8466i 1.14598 + 1.13241i
\(743\) −6.20834 + 3.58439i −0.227762 + 0.131499i −0.609539 0.792756i \(-0.708646\pi\)
0.381777 + 0.924254i \(0.375312\pi\)
\(744\) 4.27424 1.26891i 0.156701 0.0465204i
\(745\) −5.60734 3.23740i −0.205437 0.118609i
\(746\) 3.80624 + 13.8742i 0.139356 + 0.507969i
\(747\) −0.786770 0.195830i −0.0287864 0.00716506i
\(748\) 6.70178 26.2581i 0.245041 0.960090i
\(749\) −2.21350 8.26090i −0.0808796 0.301847i
\(750\) 18.5819 + 10.3627i 0.678515 + 0.378393i
\(751\) −11.9726 + 6.91239i −0.436887 + 0.252237i −0.702276 0.711905i \(-0.747833\pi\)
0.265389 + 0.964141i \(0.414500\pi\)
\(752\) 0.580944 0.0138370i 0.0211849 0.000504583i
\(753\) 43.8356 25.8329i 1.59746 0.941405i
\(754\) 20.4163 + 34.8808i 0.743516 + 1.27028i
\(755\) −5.94177 5.94177i −0.216243 0.216243i
\(756\) −8.89767 + 39.2156i −0.323605 + 1.42626i
\(757\) −11.5484 + 11.5484i −0.419735 + 0.419735i −0.885112 0.465378i \(-0.845919\pi\)
0.465378 + 0.885112i \(0.345919\pi\)
\(758\) 7.70621 29.4604i 0.279902 1.07005i
\(759\) −1.20296 2.04129i −0.0436646 0.0740940i
\(760\) −6.09352 10.1320i −0.221035 0.367525i
\(761\) −24.0288 41.6190i −0.871042 1.50869i −0.860920 0.508741i \(-0.830111\pi\)
−0.0101223 0.999949i \(-0.503222\pi\)
\(762\) −24.6218 + 6.99167i −0.891955 + 0.253281i
\(763\) −35.4901 + 9.50955i −1.28483 + 0.344269i
\(764\) 5.09977 + 8.59507i 0.184503 + 0.310959i
\(765\) −7.72429 7.45330i −0.279272 0.269475i
\(766\) −6.20073 + 10.8892i −0.224042 + 0.393442i
\(767\) 13.7843 23.8751i 0.497721 0.862078i
\(768\) 18.4570 20.6722i 0.666008 0.745944i
\(769\) 4.47454 + 7.75012i 0.161356 + 0.279477i 0.935355 0.353710i \(-0.115080\pi\)
−0.773999 + 0.633186i \(0.781747\pi\)
\(770\) 18.9378 0.112745i 0.682469 0.00406306i
\(771\) 2.92543 0.811923i 0.105357 0.0292407i
\(772\) −35.1133 + 0.418106i −1.26375 + 0.0150480i
\(773\) 26.5172 + 26.5172i