Properties

Label 144.2.u.a.11.6
Level $144$
Weight $2$
Character 144.11
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 11.6
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07723 + 0.916282i) q^{2} +(1.67850 - 0.427367i) q^{3} +(0.320853 - 1.97410i) q^{4} +(-0.170993 - 0.0458174i) q^{5} +(-1.41654 + 1.99835i) q^{6} +(1.17432 - 2.03397i) q^{7} +(1.46320 + 2.42055i) q^{8} +(2.63471 - 1.43467i) q^{9} +O(q^{10})\) \(q+(-1.07723 + 0.916282i) q^{2} +(1.67850 - 0.427367i) q^{3} +(0.320853 - 1.97410i) q^{4} +(-0.170993 - 0.0458174i) q^{5} +(-1.41654 + 1.99835i) q^{6} +(1.17432 - 2.03397i) q^{7} +(1.46320 + 2.42055i) q^{8} +(2.63471 - 1.43467i) q^{9} +(0.226181 - 0.107322i) q^{10} +(-0.340806 + 0.0913188i) q^{11} +(-0.305112 - 3.45064i) q^{12} +(-1.49044 - 0.399362i) q^{13} +(0.598685 + 3.26706i) q^{14} +(-0.306592 - 0.00382767i) q^{15} +(-3.79411 - 1.26679i) q^{16} +3.58081i q^{17} +(-1.52363 + 3.95961i) q^{18} +(5.36462 + 5.36462i) q^{19} +(-0.145312 + 0.322856i) q^{20} +(1.10183 - 3.91589i) q^{21} +(0.283453 - 0.410646i) q^{22} +(0.165085 - 0.0953117i) q^{23} +(3.49044 + 3.43757i) q^{24} +(-4.30299 - 2.48433i) q^{25} +(1.97148 - 0.935459i) q^{26} +(3.80923 - 3.53408i) q^{27} +(-3.63847 - 2.97082i) q^{28} +(-9.10169 + 2.43879i) q^{29} +(0.333778 - 0.276802i) q^{30} +(-3.43903 + 1.98552i) q^{31} +(5.24787 - 2.11185i) q^{32} +(-0.533016 + 0.298928i) q^{33} +(-3.28103 - 3.85735i) q^{34} +(-0.293991 + 0.293991i) q^{35} +(-1.98682 - 5.66150i) q^{36} +(-3.28315 - 3.28315i) q^{37} +(-10.6944 - 0.863429i) q^{38} +(-2.67238 - 0.0333635i) q^{39} +(-0.139293 - 0.480937i) q^{40} +(-4.25538 - 7.37054i) q^{41} +(2.40113 + 5.22790i) q^{42} +(1.09699 + 4.09402i) q^{43} +(0.0709232 + 0.702084i) q^{44} +(-0.516251 + 0.124603i) q^{45} +(-0.0905019 + 0.253937i) q^{46} +(4.93030 - 8.53953i) q^{47} +(-6.90979 - 0.504829i) q^{48} +(0.741968 + 1.28513i) q^{49} +(6.91166 - 1.26655i) q^{50} +(1.53032 + 6.01038i) q^{51} +(-1.26659 + 2.81413i) q^{52} +(-4.83735 + 4.83735i) q^{53} +(-0.865205 + 7.29736i) q^{54} +0.0624595 q^{55} +(6.64159 - 0.133613i) q^{56} +(11.2972 + 6.71185i) q^{57} +(7.57000 - 10.9669i) q^{58} +(-0.720744 + 2.68985i) q^{59} +(-0.105927 + 0.604015i) q^{60} +(2.13661 + 7.97394i) q^{61} +(1.88533 - 5.28999i) q^{62} +(0.175902 - 7.04369i) q^{63} +(-3.71812 + 7.08347i) q^{64} +(0.236557 + 0.136576i) q^{65} +(0.300279 - 0.810408i) q^{66} +(-3.06917 + 11.4543i) q^{67} +(7.06885 + 1.14891i) q^{68} +(0.236361 - 0.230532i) q^{69} +(0.0473175 - 0.586075i) q^{70} +1.13635i q^{71} +(7.32779 + 4.27825i) q^{72} -5.67961i q^{73} +(6.54499 + 0.528418i) q^{74} +(-8.28428 - 2.33099i) q^{75} +(12.3115 - 8.86902i) q^{76} +(-0.214474 + 0.800428i) q^{77} +(2.90934 - 2.41271i) q^{78} +(12.8621 + 7.42593i) q^{79} +(0.590725 + 0.390449i) q^{80} +(4.88344 - 7.55990i) q^{81} +(11.3375 + 4.04064i) q^{82} +(-3.31278 - 12.3635i) q^{83} +(-7.37680 - 3.43155i) q^{84} +(0.164063 - 0.612293i) q^{85} +(-4.93298 - 3.40505i) q^{86} +(-14.2349 + 7.98327i) q^{87} +(-0.719708 - 0.691322i) q^{88} +3.05719 q^{89} +(0.441950 - 0.607257i) q^{90} +(-2.56254 + 2.56254i) q^{91} +(-0.135186 - 0.356474i) q^{92} +(-4.92386 + 4.80243i) q^{93} +(2.51355 + 13.7166i) q^{94} +(-0.671520 - 1.16311i) q^{95} +(7.90600 - 5.78750i) q^{96} +(-0.996701 + 1.72634i) q^{97} +(-1.97681 - 0.704526i) q^{98} +(-0.766915 + 0.729544i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07723 + 0.916282i −0.761717 + 0.647909i
\(3\) 1.67850 0.427367i 0.969082 0.246741i
\(4\) 0.320853 1.97410i 0.160427 0.987048i
\(5\) −0.170993 0.0458174i −0.0764704 0.0204902i 0.220381 0.975414i \(-0.429270\pi\)
−0.296851 + 0.954924i \(0.595937\pi\)
\(6\) −1.41654 + 1.99835i −0.578301 + 0.815824i
\(7\) 1.17432 2.03397i 0.443849 0.768770i −0.554122 0.832436i \(-0.686946\pi\)
0.997971 + 0.0636659i \(0.0202792\pi\)
\(8\) 1.46320 + 2.42055i 0.517318 + 0.855793i
\(9\) 2.63471 1.43467i 0.878238 0.478224i
\(10\) 0.226181 0.107322i 0.0715246 0.0339382i
\(11\) −0.340806 + 0.0913188i −0.102757 + 0.0275337i −0.309831 0.950792i \(-0.600273\pi\)
0.207074 + 0.978325i \(0.433606\pi\)
\(12\) −0.305112 3.45064i −0.0880782 0.996114i
\(13\) −1.49044 0.399362i −0.413374 0.110763i 0.0461375 0.998935i \(-0.485309\pi\)
−0.459511 + 0.888172i \(0.651975\pi\)
\(14\) 0.598685 + 3.26706i 0.160005 + 0.873159i
\(15\) −0.306592 0.00382767i −0.0791618 0.000988301i
\(16\) −3.79411 1.26679i −0.948527 0.316698i
\(17\) 3.58081i 0.868473i 0.900799 + 0.434236i \(0.142982\pi\)
−0.900799 + 0.434236i \(0.857018\pi\)
\(18\) −1.52363 + 3.95961i −0.359124 + 0.933290i
\(19\) 5.36462 + 5.36462i 1.23073 + 1.23073i 0.963684 + 0.267045i \(0.0860473\pi\)
0.267045 + 0.963684i \(0.413953\pi\)
\(20\) −0.145312 + 0.322856i −0.0324927 + 0.0721928i
\(21\) 1.10183 3.91589i 0.240440 0.854516i
\(22\) 0.283453 0.410646i 0.0604325 0.0875501i
\(23\) 0.165085 0.0953117i 0.0344225 0.0198739i −0.482690 0.875791i \(-0.660340\pi\)
0.517113 + 0.855917i \(0.327007\pi\)
\(24\) 3.49044 + 3.43757i 0.712482 + 0.701690i
\(25\) −4.30299 2.48433i −0.860598 0.496866i
\(26\) 1.97148 0.935459i 0.386638 0.183459i
\(27\) 3.80923 3.53408i 0.733087 0.680135i
\(28\) −3.63847 2.97082i −0.687607 0.561432i
\(29\) −9.10169 + 2.43879i −1.69014 + 0.452872i −0.970426 0.241398i \(-0.922394\pi\)
−0.719714 + 0.694270i \(0.755727\pi\)
\(30\) 0.333778 0.276802i 0.0609393 0.0505369i
\(31\) −3.43903 + 1.98552i −0.617668 + 0.356611i −0.775960 0.630782i \(-0.782734\pi\)
0.158293 + 0.987392i \(0.449401\pi\)
\(32\) 5.24787 2.11185i 0.927701 0.373325i
\(33\) −0.533016 + 0.298928i −0.0927863 + 0.0520367i
\(34\) −3.28103 3.85735i −0.562692 0.661531i
\(35\) −0.293991 + 0.293991i −0.0496936 + 0.0496936i
\(36\) −1.98682 5.66150i −0.331137 0.943583i
\(37\) −3.28315 3.28315i −0.539746 0.539746i 0.383709 0.923454i \(-0.374647\pi\)
−0.923454 + 0.383709i \(0.874647\pi\)
\(38\) −10.6944 0.863429i −1.73487 0.140067i
\(39\) −2.67238 0.0333635i −0.427923 0.00534243i
\(40\) −0.139293 0.480937i −0.0220241 0.0760428i
\(41\) −4.25538 7.37054i −0.664579 1.15109i −0.979399 0.201934i \(-0.935277\pi\)
0.314820 0.949151i \(-0.398056\pi\)
\(42\) 2.40113 + 5.22790i 0.370502 + 0.806683i
\(43\) 1.09699 + 4.09402i 0.167289 + 0.624332i 0.997737 + 0.0672354i \(0.0214179\pi\)
−0.830448 + 0.557096i \(0.811915\pi\)
\(44\) 0.0709232 + 0.702084i 0.0106921 + 0.105843i
\(45\) −0.516251 + 0.124603i −0.0769581 + 0.0185747i
\(46\) −0.0905019 + 0.253937i −0.0133438 + 0.0374409i
\(47\) 4.93030 8.53953i 0.719158 1.24562i −0.242176 0.970232i \(-0.577861\pi\)
0.961334 0.275386i \(-0.0888057\pi\)
\(48\) −6.90979 0.504829i −0.997342 0.0728658i
\(49\) 0.741968 + 1.28513i 0.105995 + 0.183590i
\(50\) 6.91166 1.26655i 0.977456 0.179118i
\(51\) 1.53032 + 6.01038i 0.214288 + 0.841621i
\(52\) −1.26659 + 2.81413i −0.175645 + 0.390250i
\(53\) −4.83735 + 4.83735i −0.664461 + 0.664461i −0.956428 0.291967i \(-0.905690\pi\)
0.291967 + 0.956428i \(0.405690\pi\)
\(54\) −0.865205 + 7.29736i −0.117739 + 0.993045i
\(55\) 0.0624595 0.00842204
\(56\) 6.64159 0.133613i 0.887519 0.0178548i
\(57\) 11.2972 + 6.71185i 1.49635 + 0.889006i
\(58\) 7.57000 10.9669i 0.993990 1.44002i
\(59\) −0.720744 + 2.68985i −0.0938328 + 0.350189i −0.996840 0.0794368i \(-0.974688\pi\)
0.903007 + 0.429626i \(0.141354\pi\)
\(60\) −0.105927 + 0.604015i −0.0136752 + 0.0779779i
\(61\) 2.13661 + 7.97394i 0.273565 + 1.02096i 0.956797 + 0.290757i \(0.0939071\pi\)
−0.683232 + 0.730201i \(0.739426\pi\)
\(62\) 1.88533 5.28999i 0.239437 0.671829i
\(63\) 0.175902 7.04369i 0.0221616 0.887422i
\(64\) −3.71812 + 7.08347i −0.464765 + 0.885434i
\(65\) 0.236557 + 0.136576i 0.0293413 + 0.0169402i
\(66\) 0.300279 0.810408i 0.0369618 0.0997543i
\(67\) −3.06917 + 11.4543i −0.374959 + 1.39936i 0.478446 + 0.878117i \(0.341200\pi\)
−0.853405 + 0.521248i \(0.825467\pi\)
\(68\) 7.06885 + 1.14891i 0.857224 + 0.139326i
\(69\) 0.236361 0.230532i 0.0284546 0.0277528i
\(70\) 0.0473175 0.586075i 0.00565552 0.0700494i
\(71\) 1.13635i 0.134860i 0.997724 + 0.0674300i \(0.0214799\pi\)
−0.997724 + 0.0674300i \(0.978520\pi\)
\(72\) 7.32779 + 4.27825i 0.863589 + 0.504197i
\(73\) 5.67961i 0.664748i −0.943148 0.332374i \(-0.892150\pi\)
0.943148 0.332374i \(-0.107850\pi\)
\(74\) 6.54499 + 0.528418i 0.760840 + 0.0614273i
\(75\) −8.28428 2.33099i −0.956586 0.269159i
\(76\) 12.3115 8.86902i 1.41223 1.01735i
\(77\) −0.214474 + 0.800428i −0.0244416 + 0.0912173i
\(78\) 2.90934 2.41271i 0.329418 0.273186i
\(79\) 12.8621 + 7.42593i 1.44710 + 0.835482i 0.998308 0.0581546i \(-0.0185216\pi\)
0.448790 + 0.893637i \(0.351855\pi\)
\(80\) 0.590725 + 0.390449i 0.0660450 + 0.0436535i
\(81\) 4.88344 7.55990i 0.542604 0.839988i
\(82\) 11.3375 + 4.04064i 1.25202 + 0.446214i
\(83\) −3.31278 12.3635i −0.363625 1.35707i −0.869275 0.494329i \(-0.835414\pi\)
0.505649 0.862739i \(-0.331253\pi\)
\(84\) −7.37680 3.43155i −0.804875 0.374412i
\(85\) 0.164063 0.612293i 0.0177952 0.0664125i
\(86\) −4.93298 3.40505i −0.531937 0.367176i
\(87\) −14.2349 + 7.98327i −1.52614 + 0.855896i
\(88\) −0.719708 0.691322i −0.0767212 0.0736951i
\(89\) 3.05719 0.324061 0.162031 0.986786i \(-0.448196\pi\)
0.162031 + 0.986786i \(0.448196\pi\)
\(90\) 0.441950 0.607257i 0.0465856 0.0640106i
\(91\) −2.56254 + 2.56254i −0.268627 + 0.268627i
\(92\) −0.135186 0.356474i −0.0140942 0.0371650i
\(93\) −4.92386 + 4.80243i −0.510580 + 0.497989i
\(94\) 2.51355 + 13.7166i 0.259253 + 1.41476i
\(95\) −0.671520 1.16311i −0.0688965 0.119332i
\(96\) 7.90600 5.78750i 0.806903 0.590684i
\(97\) −0.996701 + 1.72634i −0.101200 + 0.175283i −0.912179 0.409792i \(-0.865601\pi\)
0.810980 + 0.585075i \(0.198935\pi\)
\(98\) −1.97681 0.704526i −0.199688 0.0711679i
\(99\) −0.766915 + 0.729544i −0.0770779 + 0.0733219i
\(100\) −6.28494 + 7.69740i −0.628494 + 0.769740i
\(101\) 4.14419 + 15.4663i 0.412362 + 1.53896i 0.790062 + 0.613027i \(0.210048\pi\)
−0.377700 + 0.925928i \(0.623285\pi\)
\(102\) −7.15571 5.07236i −0.708521 0.502238i
\(103\) −8.12150 14.0668i −0.800235 1.38605i −0.919461 0.393181i \(-0.871375\pi\)
0.119226 0.992867i \(-0.461959\pi\)
\(104\) −1.21413 4.19203i −0.119055 0.411062i
\(105\) −0.367821 + 0.619106i −0.0358957 + 0.0604185i
\(106\) 0.778565 9.64332i 0.0756210 0.936642i
\(107\) −2.08262 2.08262i −0.201334 0.201334i 0.599237 0.800571i \(-0.295471\pi\)
−0.800571 + 0.599237i \(0.795471\pi\)
\(108\) −5.75441 8.65371i −0.553719 0.832704i
\(109\) 7.70191 7.70191i 0.737709 0.737709i −0.234425 0.972134i \(-0.575321\pi\)
0.972134 + 0.234425i \(0.0753207\pi\)
\(110\) −0.0672833 + 0.0572306i −0.00641521 + 0.00545672i
\(111\) −6.91386 4.10765i −0.656235 0.389880i
\(112\) −7.03209 + 6.22950i −0.664470 + 0.588632i
\(113\) 10.3137 5.95461i 0.970230 0.560162i 0.0709236 0.997482i \(-0.477405\pi\)
0.899306 + 0.437319i \(0.144072\pi\)
\(114\) −18.3196 + 3.12119i −1.71579 + 0.292327i
\(115\) −0.0325953 + 0.00873387i −0.00303952 + 0.000814438i
\(116\) 1.89410 + 18.7501i 0.175862 + 1.74090i
\(117\) −4.49984 + 1.08609i −0.416010 + 0.100409i
\(118\) −1.68826 3.55800i −0.155417 0.327540i
\(119\) 7.28326 + 4.20499i 0.667656 + 0.385471i
\(120\) −0.439340 0.747723i −0.0401060 0.0682574i
\(121\) −9.41847 + 5.43776i −0.856225 + 0.494341i
\(122\) −9.60800 6.63204i −0.869868 0.600436i
\(123\) −10.2926 10.5528i −0.928051 0.951517i
\(124\) 2.81619 + 7.42603i 0.252901 + 0.666878i
\(125\) 1.24783 + 1.24783i 0.111610 + 0.111610i
\(126\) 6.26453 + 7.74886i 0.558088 + 0.690324i
\(127\) 8.43197i 0.748216i −0.927385 0.374108i \(-0.877949\pi\)
0.927385 0.374108i \(-0.122051\pi\)
\(128\) −2.48519 11.0374i −0.219662 0.975576i
\(129\) 3.59094 + 6.40298i 0.316165 + 0.563751i
\(130\) −0.379969 + 0.0696289i −0.0333255 + 0.00610685i
\(131\) −5.25596 1.40833i −0.459215 0.123046i 0.0217928 0.999763i \(-0.493063\pi\)
−0.481008 + 0.876716i \(0.659729\pi\)
\(132\) 0.419092 + 1.14814i 0.0364773 + 0.0999325i
\(133\) 17.2113 4.61174i 1.49241 0.399889i
\(134\) −7.18916 15.1511i −0.621049 1.30886i
\(135\) −0.813275 + 0.429774i −0.0699955 + 0.0369891i
\(136\) −8.66752 + 5.23942i −0.743233 + 0.449276i
\(137\) 1.62151 2.80854i 0.138535 0.239950i −0.788407 0.615154i \(-0.789094\pi\)
0.926942 + 0.375204i \(0.122427\pi\)
\(138\) −0.0433830 + 0.464910i −0.00369301 + 0.0395758i
\(139\) 13.2129 + 3.54037i 1.12070 + 0.300291i 0.771167 0.636633i \(-0.219674\pi\)
0.349533 + 0.936924i \(0.386340\pi\)
\(140\) 0.486039 + 0.674695i 0.0410778 + 0.0570221i
\(141\) 4.62598 16.4406i 0.389578 1.38455i
\(142\) −1.04122 1.22411i −0.0873771 0.102725i
\(143\) 0.544421 0.0455268
\(144\) −11.8138 + 2.10566i −0.984484 + 0.175472i
\(145\) 1.66806 0.138525
\(146\) 5.20413 + 6.11825i 0.430697 + 0.506350i
\(147\) 1.79461 + 1.83999i 0.148017 + 0.151760i
\(148\) −7.53465 + 5.42783i −0.619344 + 0.446165i
\(149\) 12.2444 + 3.28089i 1.00310 + 0.268781i 0.722745 0.691115i \(-0.242880\pi\)
0.280358 + 0.959895i \(0.409547\pi\)
\(150\) 11.0599 5.07973i 0.903039 0.414758i
\(151\) 0.791297 1.37057i 0.0643948 0.111535i −0.832031 0.554730i \(-0.812822\pi\)
0.896425 + 0.443195i \(0.146155\pi\)
\(152\) −5.13584 + 20.8348i −0.416572 + 1.68993i
\(153\) 5.13728 + 9.43440i 0.415324 + 0.762726i
\(154\) −0.502380 1.05877i −0.0404829 0.0853177i
\(155\) 0.679022 0.181943i 0.0545403 0.0146140i
\(156\) −0.923304 + 5.26482i −0.0739235 + 0.421523i
\(157\) 7.73231 + 2.07187i 0.617106 + 0.165353i 0.553812 0.832642i \(-0.313173\pi\)
0.0632940 + 0.997995i \(0.479839\pi\)
\(158\) −20.6597 + 3.78586i −1.64360 + 0.301187i
\(159\) −6.05216 + 10.1868i −0.479968 + 0.807867i
\(160\) −0.994108 + 0.120667i −0.0785911 + 0.00953958i
\(161\) 0.447704i 0.0352840i
\(162\) 1.66641 + 12.6184i 0.130925 + 0.991392i
\(163\) −10.2400 10.2400i −0.802055 0.802055i 0.181362 0.983416i \(-0.441950\pi\)
−0.983416 + 0.181362i \(0.941950\pi\)
\(164\) −15.9155 + 6.03567i −1.24279 + 0.471307i
\(165\) 0.104838 0.0266932i 0.00816164 0.00207806i
\(166\) 14.8971 + 10.2829i 1.15624 + 0.798106i
\(167\) 10.1700 5.87166i 0.786979 0.454362i −0.0519191 0.998651i \(-0.516534\pi\)
0.838898 + 0.544289i \(0.183200\pi\)
\(168\) 11.0908 3.06267i 0.855673 0.236290i
\(169\) −9.19641 5.30955i −0.707416 0.408427i
\(170\) 0.384299 + 0.809909i 0.0294744 + 0.0621172i
\(171\) 21.8307 + 6.43778i 1.66944 + 0.492309i
\(172\) 8.43395 0.851981i 0.643083 0.0649629i
\(173\) −14.3509 + 3.84530i −1.09108 + 0.292353i −0.759126 0.650944i \(-0.774373\pi\)
−0.331950 + 0.943297i \(0.607707\pi\)
\(174\) 8.01936 21.6430i 0.607946 1.64075i
\(175\) −10.1061 + 5.83477i −0.763951 + 0.441068i
\(176\) 1.40874 + 0.0852571i 0.106188 + 0.00642650i
\(177\) −0.0602123 + 4.82294i −0.00452583 + 0.362514i
\(178\) −3.29330 + 2.80125i −0.246843 + 0.209962i
\(179\) 10.4051 10.4051i 0.777712 0.777712i −0.201730 0.979441i \(-0.564656\pi\)
0.979441 + 0.201730i \(0.0646563\pi\)
\(180\) 0.0803371 + 1.05911i 0.00598797 + 0.0789412i
\(181\) −16.0569 16.0569i −1.19350 1.19350i −0.976077 0.217424i \(-0.930235\pi\)
−0.217424 0.976077i \(-0.569765\pi\)
\(182\) 0.412437 5.10845i 0.0305719 0.378664i
\(183\) 6.99410 + 12.4711i 0.517019 + 0.921892i
\(184\) 0.472258 + 0.260136i 0.0348153 + 0.0191775i
\(185\) 0.410970 + 0.711820i 0.0302151 + 0.0523341i
\(186\) 0.903751 9.68497i 0.0662663 0.710136i
\(187\) −0.326995 1.22036i −0.0239122 0.0892417i
\(188\) −15.2759 12.4728i −1.11411 0.909674i
\(189\) −2.71499 11.8980i −0.197487 0.865453i
\(190\) 1.78912 + 0.637633i 0.129796 + 0.0462587i
\(191\) −3.45557 + 5.98522i −0.250036 + 0.433075i −0.963535 0.267581i \(-0.913776\pi\)
0.713499 + 0.700656i \(0.247109\pi\)
\(192\) −3.21361 + 13.4786i −0.231922 + 0.972734i
\(193\) −7.82918 13.5605i −0.563557 0.976109i −0.997182 0.0750156i \(-0.976099\pi\)
0.433626 0.901093i \(-0.357234\pi\)
\(194\) −0.508134 2.77292i −0.0364819 0.199084i
\(195\) 0.455429 + 0.128146i 0.0326139 + 0.00917675i
\(196\) 2.77503 1.05238i 0.198216 0.0751699i
\(197\) 8.24778 8.24778i 0.587630 0.587630i −0.349359 0.936989i \(-0.613601\pi\)
0.936989 + 0.349359i \(0.113601\pi\)
\(198\) 0.157677 1.48860i 0.0112056 0.105790i
\(199\) 5.52708 0.391804 0.195902 0.980623i \(-0.437237\pi\)
0.195902 + 0.980623i \(0.437237\pi\)
\(200\) −0.282667 14.0507i −0.0199876 0.993531i
\(201\) −0.256404 + 20.5377i −0.0180853 + 1.44862i
\(202\) −18.6358 12.8635i −1.31121 0.905076i
\(203\) −5.72781 + 21.3765i −0.402014 + 1.50034i
\(204\) 12.3561 1.09255i 0.865098 0.0764936i
\(205\) 0.389942 + 1.45528i 0.0272347 + 0.101641i
\(206\) 21.6379 + 7.71166i 1.50759 + 0.537297i
\(207\) 0.298210 0.487961i 0.0207270 0.0339156i
\(208\) 5.14898 + 3.40330i 0.357018 + 0.235976i
\(209\) −2.31819 1.33841i −0.160353 0.0925796i
\(210\) −0.171047 1.00395i −0.0118034 0.0692790i
\(211\) 1.09423 4.08372i 0.0753299 0.281135i −0.917978 0.396631i \(-0.870179\pi\)
0.993308 + 0.115496i \(0.0368458\pi\)
\(212\) 7.99731 + 11.1015i 0.549258 + 0.762452i
\(213\) 0.485639 + 1.90736i 0.0332754 + 0.130690i
\(214\) 4.15173 + 0.335195i 0.283806 + 0.0229134i
\(215\) 0.750309i 0.0511707i
\(216\) 14.1281 + 4.04938i 0.961294 + 0.275525i
\(217\) 9.32653i 0.633126i
\(218\) −1.23961 + 15.3539i −0.0839572 + 1.03989i
\(219\) −2.42728 9.53322i −0.164020 0.644195i
\(220\) 0.0200403 0.123301i 0.00135112 0.00831296i
\(221\) 1.43004 5.33698i 0.0961948 0.359004i
\(222\) 11.2116 1.91017i 0.752473 0.128202i
\(223\) −6.50548 3.75594i −0.435639 0.251517i 0.266107 0.963944i \(-0.414263\pi\)
−0.701746 + 0.712427i \(0.747596\pi\)
\(224\) 1.86721 13.1540i 0.124758 0.878888i
\(225\) −14.9013 0.372132i −0.993423 0.0248088i
\(226\) −5.65412 + 15.8647i −0.376106 + 1.05531i
\(227\) −1.69150 6.31276i −0.112269 0.418993i 0.886799 0.462155i \(-0.152924\pi\)
−0.999068 + 0.0431619i \(0.986257\pi\)
\(228\) 16.8746 20.1482i 1.11755 1.33435i
\(229\) −0.291556 + 1.08810i −0.0192665 + 0.0719037i −0.974890 0.222688i \(-0.928517\pi\)
0.955623 + 0.294592i \(0.0951836\pi\)
\(230\) 0.0271099 0.0392749i 0.00178758 0.00258971i
\(231\) −0.0179176 + 1.43518i −0.00117889 + 0.0944277i
\(232\) −19.2208 18.4627i −1.26190 1.21213i
\(233\) 13.9406 0.913280 0.456640 0.889652i \(-0.349053\pi\)
0.456640 + 0.889652i \(0.349053\pi\)
\(234\) 3.85220 5.29309i 0.251826 0.346020i
\(235\) −1.23431 + 1.23431i −0.0805173 + 0.0805173i
\(236\) 5.07877 + 2.28587i 0.330600 + 0.148797i
\(237\) 24.7626 + 6.96758i 1.60850 + 0.452593i
\(238\) −11.6987 + 2.14378i −0.758315 + 0.138960i
\(239\) 14.8075 + 25.6474i 0.957820 + 1.65899i 0.727780 + 0.685811i \(0.240552\pi\)
0.230040 + 0.973181i \(0.426114\pi\)
\(240\) 1.15840 + 0.402911i 0.0747741 + 0.0260078i
\(241\) −6.03200 + 10.4477i −0.388555 + 0.672997i −0.992255 0.124214i \(-0.960359\pi\)
0.603700 + 0.797211i \(0.293692\pi\)
\(242\) 5.16335 14.4877i 0.331913 0.931304i
\(243\) 4.96599 14.7763i 0.318569 0.947900i
\(244\) 16.4269 1.65941i 1.05162 0.106233i
\(245\) −0.0679902 0.253743i −0.00434373 0.0162110i
\(246\) 20.7569 + 1.93692i 1.32341 + 0.123494i
\(247\) −5.85322 10.1381i −0.372432 0.645071i
\(248\) −9.83803 5.41913i −0.624716 0.344115i
\(249\) −10.8443 19.3363i −0.687227 1.22539i
\(250\) −2.48757 0.200837i −0.157328 0.0127021i
\(251\) −13.9356 13.9356i −0.879610 0.879610i 0.113884 0.993494i \(-0.463671\pi\)
−0.993494 + 0.113884i \(0.963671\pi\)
\(252\) −13.8485 2.60724i −0.872373 0.164241i
\(253\) −0.0475582 + 0.0475582i −0.00298996 + 0.00298996i
\(254\) 7.72606 + 9.08318i 0.484776 + 0.569929i
\(255\) 0.0137062 1.09785i 0.000858312 0.0687499i
\(256\) 12.7905 + 9.61268i 0.799405 + 0.600792i
\(257\) −21.0025 + 12.1258i −1.31010 + 0.756387i −0.982112 0.188295i \(-0.939704\pi\)
−0.327988 + 0.944682i \(0.606370\pi\)
\(258\) −9.73521 3.60717i −0.606088 0.224573i
\(259\) −10.5333 + 2.82238i −0.654506 + 0.175374i
\(260\) 0.345515 0.423165i 0.0214279 0.0262436i
\(261\) −20.4815 + 19.4834i −1.26777 + 1.20599i
\(262\) 6.95231 3.29885i 0.429515 0.203803i
\(263\) 26.7072 + 15.4194i 1.64683 + 0.950800i 0.978319 + 0.207102i \(0.0664032\pi\)
0.668515 + 0.743699i \(0.266930\pi\)
\(264\) −1.50348 0.852802i −0.0925326 0.0524864i
\(265\) 1.04879 0.605518i 0.0644265 0.0371967i
\(266\) −14.3148 + 20.7383i −0.877699 + 1.27155i
\(267\) 5.13148 1.30654i 0.314042 0.0799590i
\(268\) 21.6271 + 9.73398i 1.32109 + 0.594598i
\(269\) 5.24359 + 5.24359i 0.319707 + 0.319707i 0.848655 0.528947i \(-0.177413\pi\)
−0.528947 + 0.848655i \(0.677413\pi\)
\(270\) 0.482290 1.20816i 0.0293512 0.0735260i
\(271\) 6.82794i 0.414768i −0.978260 0.207384i \(-0.933505\pi\)
0.978260 0.207384i \(-0.0664949\pi\)
\(272\) 4.53613 13.5860i 0.275043 0.823770i
\(273\) −3.20607 + 5.39636i −0.194040 + 0.326603i
\(274\) 0.826675 + 4.51122i 0.0499412 + 0.272533i
\(275\) 1.69335 + 0.453732i 0.102113 + 0.0273611i
\(276\) −0.379255 0.540567i −0.0228285 0.0325383i
\(277\) 6.34489 1.70011i 0.381228 0.102150i −0.0631157 0.998006i \(-0.520104\pi\)
0.444343 + 0.895857i \(0.353437\pi\)
\(278\) −17.4773 + 8.29291i −1.04822 + 0.497375i
\(279\) −6.21229 + 10.1652i −0.371920 + 0.608573i
\(280\) −1.14179 0.281453i −0.0682348 0.0168201i
\(281\) −2.29891 + 3.98183i −0.137141 + 0.237536i −0.926413 0.376508i \(-0.877125\pi\)
0.789272 + 0.614044i \(0.210458\pi\)
\(282\) 10.0810 + 21.9491i 0.600315 + 1.30705i
\(283\) 8.46655 + 2.26861i 0.503284 + 0.134855i 0.501524 0.865144i \(-0.332773\pi\)
0.00176039 + 0.999998i \(0.499440\pi\)
\(284\) 2.24326 + 0.364602i 0.133113 + 0.0216351i
\(285\) −1.62422 1.66529i −0.0962104 0.0986431i
\(286\) −0.586467 + 0.498843i −0.0346785 + 0.0294972i
\(287\) −19.9886 −1.17989
\(288\) 10.7968 13.0931i 0.636209 0.771517i
\(289\) 4.17783 0.245755
\(290\) −1.79689 + 1.52842i −0.105517 + 0.0897518i
\(291\) −0.935181 + 3.32361i −0.0548213 + 0.194833i
\(292\) −11.2121 1.82232i −0.656138 0.106643i
\(293\) −16.6713 4.46706i −0.973948 0.260969i −0.263454 0.964672i \(-0.584862\pi\)
−0.710494 + 0.703703i \(0.751528\pi\)
\(294\) −3.61916 0.337722i −0.211074 0.0196963i
\(295\) 0.246484 0.426923i 0.0143509 0.0248564i
\(296\) 3.14313 12.7509i 0.182691 0.741131i
\(297\) −0.975483 + 1.55229i −0.0566032 + 0.0900732i
\(298\) −16.1963 + 7.68509i −0.938227 + 0.445185i
\(299\) −0.284113 + 0.0761278i −0.0164307 + 0.00440258i
\(300\) −7.25964 + 15.6061i −0.419135 + 0.901016i
\(301\) 9.61533 + 2.57642i 0.554218 + 0.148502i
\(302\) 0.403416 + 2.20147i 0.0232140 + 0.126680i
\(303\) 13.5658 + 24.1891i 0.779335 + 1.38963i
\(304\) −13.5581 27.1498i −0.777610 1.55715i
\(305\) 1.46138i 0.0836785i
\(306\) −14.1786 5.45583i −0.810537 0.311889i
\(307\) −3.08820 3.08820i −0.176253 0.176253i 0.613467 0.789720i \(-0.289774\pi\)
−0.789720 + 0.613467i \(0.789774\pi\)
\(308\) 1.51131 + 0.680213i 0.0861147 + 0.0387587i
\(309\) −19.6436 20.1403i −1.11749 1.14574i
\(310\) −0.564752 + 0.818170i −0.0320757 + 0.0464690i
\(311\) −11.7879 + 6.80577i −0.668433 + 0.385920i −0.795483 0.605976i \(-0.792783\pi\)
0.127050 + 0.991896i \(0.459449\pi\)
\(312\) −3.82945 6.51744i −0.216800 0.368977i
\(313\) −9.11117 5.26034i −0.514994 0.297332i 0.219890 0.975525i \(-0.429430\pi\)
−0.734884 + 0.678193i \(0.762763\pi\)
\(314\) −10.2279 + 4.85310i −0.577194 + 0.273876i
\(315\) −0.352802 + 1.19636i −0.0198781 + 0.0674074i
\(316\) 18.7863 23.0084i 1.05681 1.29432i
\(317\) 18.7671 5.02863i 1.05406 0.282436i 0.310134 0.950693i \(-0.399626\pi\)
0.743931 + 0.668257i \(0.232959\pi\)
\(318\) −2.81442 16.5190i −0.157825 0.926342i
\(319\) 2.87921 1.66231i 0.161205 0.0930715i
\(320\) 0.960319 1.04087i 0.0536834 0.0581864i
\(321\) −4.38571 2.60563i −0.244787 0.145432i
\(322\) 0.410223 + 0.482280i 0.0228608 + 0.0268764i
\(323\) −19.2097 + 19.2097i −1.06885 + 1.06885i
\(324\) −13.3571 12.0660i −0.742060 0.670333i
\(325\) 5.42120 + 5.42120i 0.300714 + 0.300714i
\(326\) 20.4135 + 1.64811i 1.13060 + 0.0912802i
\(327\) 9.63610 16.2192i 0.532878 0.896923i
\(328\) 11.6143 21.0849i 0.641292 1.16422i
\(329\) −11.5795 20.0562i −0.638396 1.10573i
\(330\) −0.0884765 + 0.124816i −0.00487047 + 0.00687090i
\(331\) −3.30125 12.3204i −0.181453 0.677192i −0.995362 0.0961997i \(-0.969331\pi\)
0.813909 0.580992i \(-0.197335\pi\)
\(332\) −25.4696 + 2.57289i −1.39783 + 0.141206i
\(333\) −13.3604 3.93992i −0.732144 0.215906i
\(334\) −5.57535 + 15.6437i −0.305070 + 0.855987i
\(335\) 1.04961 1.81798i 0.0573465 0.0993270i
\(336\) −9.14107 + 13.4615i −0.498687 + 0.734385i
\(337\) −5.77771 10.0073i −0.314732 0.545132i 0.664648 0.747156i \(-0.268581\pi\)
−0.979381 + 0.202024i \(0.935248\pi\)
\(338\) 14.7717 2.70690i 0.803475 0.147236i
\(339\) 14.7667 14.4025i 0.802017 0.782238i
\(340\) −1.15608 0.520333i −0.0626975 0.0282190i
\(341\) 0.990728 0.990728i 0.0536509 0.0536509i
\(342\) −29.4156 + 13.0681i −1.59061 + 0.706643i
\(343\) 19.9256 1.07588
\(344\) −8.30466 + 8.64566i −0.447757 + 0.466143i
\(345\) −0.0509785 + 0.0285899i −0.00274459 + 0.00153923i
\(346\) 11.9358 17.2917i 0.641673 0.929608i
\(347\) 1.73954 6.49207i 0.0933836 0.348512i −0.903386 0.428829i \(-0.858926\pi\)
0.996769 + 0.0803163i \(0.0255930\pi\)
\(348\) 11.1924 + 30.6625i 0.599976 + 1.64368i
\(349\) 2.34830 + 8.76397i 0.125702 + 0.469125i 0.999864 0.0165095i \(-0.00525537\pi\)
−0.874162 + 0.485634i \(0.838589\pi\)
\(350\) 5.54033 15.5455i 0.296143 0.830940i
\(351\) −7.08881 + 3.74608i −0.378373 + 0.199951i
\(352\) −1.59566 + 1.19896i −0.0850487 + 0.0639048i
\(353\) −10.8100 6.24115i −0.575357 0.332183i 0.183929 0.982940i \(-0.441118\pi\)
−0.759286 + 0.650757i \(0.774452\pi\)
\(354\) −4.35431 5.25059i −0.231429 0.279066i
\(355\) 0.0520647 0.194308i 0.00276331 0.0103128i
\(356\) 0.980909 6.03518i 0.0519881 0.319864i
\(357\) 14.0220 + 3.94545i 0.742124 + 0.208815i
\(358\) −1.67468 + 20.7426i −0.0885097 + 1.09628i
\(359\) 13.9088i 0.734079i −0.930205 0.367040i \(-0.880371\pi\)
0.930205 0.367040i \(-0.119629\pi\)
\(360\) −1.05698 1.06729i −0.0557079 0.0562512i
\(361\) 38.5584i 2.02939i
\(362\) 32.0097 + 2.58434i 1.68239 + 0.135830i
\(363\) −13.4850 + 13.1524i −0.707777 + 0.690323i
\(364\) 4.23650 + 5.88090i 0.222053 + 0.308243i
\(365\) −0.260225 + 0.971174i −0.0136208 + 0.0508336i
\(366\) −18.9613 7.02572i −0.991125 0.367240i
\(367\) 5.69950 + 3.29061i 0.297512 + 0.171768i 0.641325 0.767270i \(-0.278385\pi\)
−0.343813 + 0.939038i \(0.611719\pi\)
\(368\) −0.747089 + 0.152495i −0.0389447 + 0.00794935i
\(369\) −21.7860 13.3142i −1.13414 0.693109i
\(370\) −1.09494 0.390231i −0.0569231 0.0202871i
\(371\) 4.15847 + 15.5196i 0.215897 + 0.805738i
\(372\) 7.90062 + 11.2610i 0.409628 + 0.583858i
\(373\) −6.78631 + 25.3268i −0.351382 + 1.31137i 0.533595 + 0.845740i \(0.320841\pi\)
−0.884977 + 0.465635i \(0.845826\pi\)
\(374\) 1.47044 + 1.01499i 0.0760349 + 0.0524840i
\(375\) 2.62777 + 1.56120i 0.135697 + 0.0806202i
\(376\) 27.8843 0.560969i 1.43803 0.0289297i
\(377\) 14.5395 0.748821
\(378\) 13.8266 + 10.3292i 0.711164 + 0.531277i
\(379\) −5.68301 + 5.68301i −0.291917 + 0.291917i −0.837837 0.545920i \(-0.816180\pi\)
0.545920 + 0.837837i \(0.316180\pi\)
\(380\) −2.51154 + 0.952458i −0.128839 + 0.0488600i
\(381\) −3.60355 14.1530i −0.184615 0.725082i
\(382\) −1.76171 9.61374i −0.0901367 0.491882i
\(383\) −6.91570 11.9783i −0.353376 0.612065i 0.633463 0.773773i \(-0.281633\pi\)
−0.986839 + 0.161708i \(0.948300\pi\)
\(384\) −8.88841 17.4641i −0.453585 0.891213i
\(385\) 0.0733472 0.127041i 0.00373812 0.00647461i
\(386\) 20.8591 + 7.43409i 1.06170 + 0.378385i
\(387\) 8.76382 + 9.21274i 0.445490 + 0.468310i
\(388\) 3.08816 + 2.52148i 0.156777 + 0.128009i
\(389\) −5.73529 21.4044i −0.290791 1.08525i −0.944503 0.328503i \(-0.893456\pi\)
0.653712 0.756743i \(-0.273211\pi\)
\(390\) −0.608020 + 0.279258i −0.0307883 + 0.0141408i
\(391\) 0.341293 + 0.591136i 0.0172599 + 0.0298950i
\(392\) −2.02507 + 3.67636i −0.102281 + 0.185684i
\(393\) −9.42399 0.117654i −0.475378 0.00593488i
\(394\) −1.32747 + 16.4421i −0.0668769 + 0.828339i
\(395\) −1.85909 1.85909i −0.0935410 0.0935410i
\(396\) 1.19412 + 1.74804i 0.0600069 + 0.0878423i
\(397\) −11.5684 + 11.5684i −0.580603 + 0.580603i −0.935069 0.354466i \(-0.884663\pi\)
0.354466 + 0.935069i \(0.384663\pi\)
\(398\) −5.95394 + 5.06436i −0.298444 + 0.253854i
\(399\) 26.9182 15.0963i 1.34759 0.755762i
\(400\) 13.1789 + 14.8768i 0.658943 + 0.743840i
\(401\) 19.4681 11.2399i 0.972191 0.561295i 0.0722876 0.997384i \(-0.476970\pi\)
0.899904 + 0.436089i \(0.143637\pi\)
\(402\) −18.5421 22.3588i −0.924796 1.11515i
\(403\) 5.91861 1.58589i 0.294827 0.0789987i
\(404\) 31.8616 3.21860i 1.58518 0.160131i
\(405\) −1.18141 + 1.06894i −0.0587047 + 0.0531162i
\(406\) −13.4167 28.2757i −0.665861 1.40330i
\(407\) 1.41873 + 0.819104i 0.0703238 + 0.0406015i
\(408\) −12.3093 + 12.4986i −0.609399 + 0.618771i
\(409\) 6.68684 3.86065i 0.330643 0.190897i −0.325484 0.945548i \(-0.605527\pi\)
0.656127 + 0.754651i \(0.272194\pi\)
\(410\) −1.75351 1.21038i −0.0865995 0.0597763i
\(411\) 1.52143 5.40712i 0.0750465 0.266714i
\(412\) −30.3751 + 11.5192i −1.49647 + 0.567511i
\(413\) 4.62471 + 4.62471i 0.227567 + 0.227567i
\(414\) 0.125869 + 0.798892i 0.00618613 + 0.0392634i
\(415\) 2.26585i 0.111226i
\(416\) −8.66502 + 1.05178i −0.424838 + 0.0515678i
\(417\) 23.6908 + 0.295769i 1.16014 + 0.0144839i
\(418\) 3.72358 0.682342i 0.182126 0.0333744i
\(419\) −2.99280 0.801918i −0.146208 0.0391763i 0.184973 0.982744i \(-0.440780\pi\)
−0.331181 + 0.943567i \(0.607447\pi\)
\(420\) 1.10416 + 0.924757i 0.0538774 + 0.0451235i
\(421\) 16.7110 4.47770i 0.814445 0.218230i 0.172528 0.985005i \(-0.444806\pi\)
0.641916 + 0.766775i \(0.278140\pi\)
\(422\) 2.56310 + 5.40173i 0.124770 + 0.262952i
\(423\) 0.738517 29.5726i 0.0359079 1.43787i
\(424\) −18.7870 4.63106i −0.912379 0.224904i
\(425\) 8.89591 15.4082i 0.431515 0.747406i
\(426\) −2.27083 1.60969i −0.110022 0.0779896i
\(427\) 18.7278 + 5.01811i 0.906303 + 0.242843i
\(428\) −4.77950 + 3.44307i −0.231026 + 0.166427i
\(429\) 0.913810 0.232668i 0.0441191 0.0112333i
\(430\) 0.687495 + 0.808256i 0.0331540 + 0.0389776i
\(431\) −12.1601 −0.585730 −0.292865 0.956154i \(-0.594609\pi\)
−0.292865 + 0.956154i \(0.594609\pi\)
\(432\) −18.9296 + 8.58319i −0.910750 + 0.412959i
\(433\) 18.6952 0.898436 0.449218 0.893422i \(-0.351703\pi\)
0.449218 + 0.893422i \(0.351703\pi\)
\(434\) −8.54573 10.0468i −0.410208 0.482263i
\(435\) 2.79984 0.712876i 0.134242 0.0341798i
\(436\) −12.7331 17.6755i −0.609806 0.846503i
\(437\) 1.39693 + 0.374306i 0.0668241 + 0.0179055i
\(438\) 11.3499 + 8.04541i 0.542317 + 0.384424i
\(439\) −18.2383 + 31.5896i −0.870466 + 1.50769i −0.00895100 + 0.999960i \(0.502849\pi\)
−0.861515 + 0.507732i \(0.830484\pi\)
\(440\) 0.0913905 + 0.151186i 0.00435687 + 0.00720753i
\(441\) 3.79861 + 2.32146i 0.180886 + 0.110546i
\(442\) 3.34970 + 7.05948i 0.159329 + 0.335785i
\(443\) 13.2067 3.53871i 0.627467 0.168129i 0.0689472 0.997620i \(-0.478036\pi\)
0.558520 + 0.829491i \(0.311369\pi\)
\(444\) −10.3272 + 12.3307i −0.490108 + 0.585188i
\(445\) −0.522757 0.140072i −0.0247811 0.00664007i
\(446\) 10.4494 1.91484i 0.494794 0.0906704i
\(447\) 21.9544 + 0.274091i 1.03841 + 0.0129641i
\(448\) 10.0414 + 15.8808i 0.474409 + 0.750296i
\(449\) 8.41249i 0.397010i −0.980100 0.198505i \(-0.936391\pi\)
0.980100 0.198505i \(-0.0636086\pi\)
\(450\) 16.3932 13.2530i 0.772781 0.624751i
\(451\) 2.12333 + 2.12333i 0.0999838 + 0.0999838i
\(452\) −8.44579 22.2708i −0.397256 1.04753i
\(453\) 0.742455 2.63867i 0.0348836 0.123975i
\(454\) 7.60641 + 5.25041i 0.356986 + 0.246414i
\(455\) 0.555585 0.320767i 0.0260462 0.0150378i
\(456\) 0.283622 + 37.1661i 0.0132818 + 1.74046i
\(457\) 22.1026 + 12.7609i 1.03392 + 0.596932i 0.918104 0.396339i \(-0.129720\pi\)
0.115812 + 0.993271i \(0.463053\pi\)
\(458\) −0.682935 1.43928i −0.0319114 0.0672533i
\(459\) 12.6549 + 13.6401i 0.590679 + 0.636666i
\(460\) 0.00678320 + 0.0671485i 0.000316268 + 0.00313081i
\(461\) −8.32500 + 2.23068i −0.387734 + 0.103893i −0.447419 0.894324i \(-0.647657\pi\)
0.0596856 + 0.998217i \(0.480990\pi\)
\(462\) −1.29573 1.56243i −0.0602826 0.0726910i
\(463\) 13.7328 7.92866i 0.638219 0.368476i −0.145709 0.989327i \(-0.546546\pi\)
0.783928 + 0.620852i \(0.213213\pi\)
\(464\) 37.6222 + 2.27690i 1.74657 + 0.105703i
\(465\) 1.06198 0.595583i 0.0492482 0.0276195i
\(466\) −15.0173 + 12.7735i −0.695661 + 0.591723i
\(467\) 3.55396 3.55396i 0.164458 0.164458i −0.620081 0.784538i \(-0.712900\pi\)
0.784538 + 0.620081i \(0.212900\pi\)
\(468\) 0.700249 + 9.23158i 0.0323690 + 0.426730i
\(469\) 19.6936 + 19.6936i 0.909364 + 0.909364i
\(470\) 0.198660 2.46061i 0.00916350 0.113499i
\(471\) 13.8641 + 0.173088i 0.638825 + 0.00797545i
\(472\) −7.56551 + 2.19118i −0.348231 + 0.100857i
\(473\) −0.747721 1.29509i −0.0343803 0.0595484i
\(474\) −33.0593 + 15.1838i −1.51846 + 0.697417i
\(475\) −9.75641 36.4114i −0.447655 1.67067i
\(476\) 10.6379 13.0287i 0.487588 0.597168i
\(477\) −5.80503 + 19.6850i −0.265794 + 0.901316i
\(478\) −39.4514 14.0603i −1.80446 0.643103i
\(479\) −1.39132 + 2.40984i −0.0635712 + 0.110109i −0.896059 0.443934i \(-0.853582\pi\)
0.832488 + 0.554043i \(0.186916\pi\)
\(480\) −1.61704 + 0.627389i −0.0738074 + 0.0286363i
\(481\) 3.58217 + 6.20450i 0.163333 + 0.282901i
\(482\) −3.07521 16.7816i −0.140072 0.764382i
\(483\) −0.191334 0.751470i −0.00870600 0.0341931i
\(484\) 7.71270 + 20.3377i 0.350577 + 0.924440i
\(485\) 0.249525 0.249525i 0.0113304 0.0113304i
\(486\) 8.18974 + 20.4677i 0.371494 + 0.928435i
\(487\) −4.42582 −0.200553 −0.100277 0.994960i \(-0.531973\pi\)
−0.100277 + 0.994960i \(0.531973\pi\)
\(488\) −16.1750 + 16.8392i −0.732209 + 0.762275i
\(489\) −21.5640 12.8115i −0.975156 0.579357i
\(490\) 0.305741 + 0.211041i 0.0138120 + 0.00953388i
\(491\) −0.423288 + 1.57973i −0.0191027 + 0.0712923i −0.974819 0.222997i \(-0.928416\pi\)
0.955717 + 0.294289i \(0.0950828\pi\)
\(492\) −24.1347 + 16.9326i −1.08808 + 0.763382i
\(493\) −8.73283 32.5914i −0.393307 1.46784i
\(494\) 15.5946 + 5.55785i 0.701635 + 0.250059i
\(495\) 0.164563 0.0896089i 0.00739656 0.00402762i
\(496\) 15.5633 3.17676i 0.698812 0.142641i
\(497\) 2.31131 + 1.33443i 0.103676 + 0.0598575i
\(498\) 29.3993 + 10.8933i 1.31741 + 0.488139i
\(499\) −1.20957 + 4.51417i −0.0541478 + 0.202082i −0.987700 0.156358i \(-0.950025\pi\)
0.933553 + 0.358440i \(0.116691\pi\)
\(500\) 2.86371 2.06297i 0.128069 0.0922588i
\(501\) 14.5610 14.2019i 0.650537 0.634494i
\(502\) 27.7809 + 2.24292i 1.23992 + 0.100107i
\(503\) 18.8954i 0.842506i 0.906943 + 0.421253i \(0.138410\pi\)
−0.906943 + 0.421253i \(0.861590\pi\)
\(504\) 17.3070 9.88052i 0.770915 0.440113i
\(505\) 2.83451i 0.126134i
\(506\) 0.00765443 0.0948079i 0.000340281 0.00421472i
\(507\) −17.7053 4.98183i −0.786319 0.221251i
\(508\) −16.6455 2.70543i −0.738525 0.120034i
\(509\) 7.56644 28.2383i 0.335377 1.25164i −0.568084 0.822971i \(-0.692315\pi\)
0.903460 0.428672i \(-0.141018\pi\)
\(510\) 0.991174 + 1.19519i 0.0438899 + 0.0529241i
\(511\) −11.5522 6.66965i −0.511038 0.295048i
\(512\) −22.5862 + 1.36462i −0.998180 + 0.0603083i
\(513\) 39.3941 + 1.47607i 1.73929 + 0.0651701i
\(514\) 11.5139 32.3065i 0.507856 1.42498i
\(515\) 0.744213 + 2.77744i 0.0327939 + 0.122389i
\(516\) 13.7923 5.03444i 0.607171 0.221629i
\(517\) −0.900458 + 3.36056i −0.0396021 + 0.147797i
\(518\) 8.76067 12.6918i 0.384922 0.557646i
\(519\) −22.4445 + 12.5874i −0.985206 + 0.552526i
\(520\) 0.0155396 + 0.772436i 0.000681458 + 0.0338736i
\(521\) −18.9291 −0.829299 −0.414649 0.909981i \(-0.636096\pi\)
−0.414649 + 0.909981i \(0.636096\pi\)
\(522\) 4.21096 39.7550i 0.184309 1.74003i
\(523\) −22.0490 + 22.0490i −0.964137 + 0.964137i −0.999379 0.0352421i \(-0.988780\pi\)
0.0352421 + 0.999379i \(0.488780\pi\)
\(524\) −4.46657 + 9.92390i −0.195123 + 0.433527i
\(525\) −14.4695 + 14.1127i −0.631502 + 0.615928i
\(526\) −42.8983 + 7.86106i −1.87046 + 0.342759i
\(527\) −7.10978 12.3145i −0.309707 0.536428i
\(528\) 2.40100 0.458945i 0.104490 0.0199730i
\(529\) −11.4818 + 19.8871i −0.499210 + 0.864657i
\(530\) −0.574962 + 1.61327i −0.0249747 + 0.0700759i
\(531\) 1.96010 + 8.12102i 0.0850610 + 0.352422i
\(532\) −3.58173 35.4564i −0.155288 1.53723i
\(533\) 3.39888 + 12.6848i 0.147222 + 0.549439i
\(534\) −4.33063 + 6.10933i −0.187405 + 0.264377i
\(535\) 0.260693 + 0.451533i 0.0112707 + 0.0195215i
\(536\) −32.2165 + 9.33080i −1.39154 + 0.403029i
\(537\) 13.0181 21.9117i 0.561773 0.945559i
\(538\) −10.4532 0.843949i −0.450668 0.0363852i
\(539\) −0.370224 0.370224i −0.0159467 0.0159467i
\(540\) 0.587474 + 1.74338i 0.0252808 + 0.0750230i
\(541\) −16.0780 + 16.0780i −0.691246 + 0.691246i −0.962506 0.271260i \(-0.912560\pi\)
0.271260 + 0.962506i \(0.412560\pi\)
\(542\) 6.25632 + 7.35527i 0.268732 + 0.315936i
\(543\) −33.8137 20.0893i −1.45108 0.862115i
\(544\) 7.56211 + 18.7916i 0.324223 + 0.805683i
\(545\) −1.66986 + 0.964091i −0.0715287 + 0.0412971i
\(546\) −1.49091 8.75080i −0.0638051 0.374500i
\(547\) −9.74859 + 2.61213i −0.416819 + 0.111686i −0.461133 0.887331i \(-0.652557\pi\)
0.0443131 + 0.999018i \(0.485890\pi\)
\(548\) −5.02407 4.10215i −0.214617 0.175235i
\(549\) 17.0693 + 17.9437i 0.728502 + 0.765819i
\(550\) −2.23988 + 1.06281i −0.0955087 + 0.0453185i
\(551\) −61.9103 35.7439i −2.63747 1.52274i
\(552\) 0.903858 + 0.234810i 0.0384707 + 0.00999419i
\(553\) 30.2083 17.4408i 1.28459 0.741657i
\(554\) −5.27713 + 7.64512i −0.224204 + 0.324810i
\(555\) 0.994020 + 1.01915i 0.0421938 + 0.0432607i
\(556\) 11.2284 24.9475i 0.476191 1.05801i
\(557\) 9.47553 + 9.47553i 0.401491 + 0.401491i 0.878758 0.477267i \(-0.158373\pi\)
−0.477267 + 0.878758i \(0.658373\pi\)
\(558\) −2.62209 16.6424i −0.111002 0.704531i
\(559\) 6.53998i 0.276612i
\(560\) 1.48786 0.743008i 0.0628735 0.0313978i
\(561\) −1.07040 1.90863i −0.0451925 0.0805823i
\(562\) −1.17202 6.39579i −0.0494387 0.269790i
\(563\) 5.63595 + 1.51015i 0.237527 + 0.0636451i 0.375619 0.926774i \(-0.377430\pi\)
−0.138092 + 0.990419i \(0.544097\pi\)
\(564\) −30.9711 14.4072i −1.30412 0.606651i
\(565\) −2.03639 + 0.545650i −0.0856717 + 0.0229557i
\(566\) −11.1991 + 5.31394i −0.470734 + 0.223361i
\(567\) −9.64193 18.8105i −0.404923 0.789966i
\(568\) −2.75059 + 1.66270i −0.115412 + 0.0697655i
\(569\) −13.1217 + 22.7275i −0.550090 + 0.952784i 0.448177 + 0.893945i \(0.352073\pi\)
−0.998267 + 0.0588397i \(0.981260\pi\)
\(570\) 3.27553 + 0.305656i 0.137197 + 0.0128025i
\(571\) −1.55718 0.417246i −0.0651661 0.0174612i 0.226089 0.974107i \(-0.427406\pi\)
−0.291255 + 0.956646i \(0.594073\pi\)
\(572\) 0.174679 1.07474i 0.00730371 0.0449371i
\(573\) −3.24228 + 11.5230i −0.135448 + 0.481379i
\(574\) 21.5324 18.3152i 0.898745 0.764463i
\(575\) −0.947143 −0.0394986
\(576\) 0.366277 + 23.9972i 0.0152615 + 0.999884i
\(577\) 29.9562 1.24709 0.623546 0.781787i \(-0.285691\pi\)
0.623546 + 0.781787i \(0.285691\pi\)
\(578\) −4.50049 + 3.82808i −0.187196 + 0.159227i
\(579\) −18.9366 19.4154i −0.786978 0.806877i
\(580\) 0.535204 3.29292i 0.0222231 0.136731i
\(581\) −29.0372 7.78051i −1.20467 0.322790i
\(582\) −2.03796 4.43719i −0.0844761 0.183927i
\(583\) 1.20686 2.09034i 0.0499830 0.0865731i
\(584\) 13.7478 8.31038i 0.568887 0.343886i
\(585\) 0.819202 + 0.0204580i 0.0338699 + 0.000845833i
\(586\) 22.0519 10.4636i 0.910957 0.432246i
\(587\) 3.76680 1.00931i 0.155473 0.0416587i −0.180243 0.983622i \(-0.557688\pi\)
0.335716 + 0.941963i \(0.391022\pi\)
\(588\) 4.20812 2.95237i 0.173540 0.121754i
\(589\) −29.1007 7.79751i −1.19907 0.321291i
\(590\) 0.125662 + 0.685744i 0.00517341 + 0.0282316i
\(591\) 10.3191 17.3687i 0.424469 0.714453i
\(592\) 8.29754 + 16.6157i 0.341027 + 0.682899i
\(593\) 33.7168i 1.38459i 0.721617 + 0.692293i \(0.243399\pi\)
−0.721617 + 0.692293i \(0.756601\pi\)
\(594\) −0.371519 2.56600i −0.0152436 0.105284i
\(595\) −1.05272 1.05272i −0.0431575 0.0431575i
\(596\) 10.4055 23.1190i 0.426224 0.946991i
\(597\) 9.27719 2.36209i 0.379690 0.0966740i
\(598\) 0.236300 0.342335i 0.00966305 0.0139991i
\(599\) −23.4461 + 13.5366i −0.957981 + 0.553091i −0.895551 0.444959i \(-0.853218\pi\)
−0.0624300 + 0.998049i \(0.519885\pi\)
\(600\) −6.47925 23.4632i −0.264514 0.957881i
\(601\) −25.7087 14.8429i −1.04868 0.605455i −0.126400 0.991979i \(-0.540342\pi\)
−0.922279 + 0.386524i \(0.873676\pi\)
\(602\) −12.7187 + 6.03496i −0.518374 + 0.245966i
\(603\) 8.34676 + 34.5820i 0.339906 + 1.40829i
\(604\) −2.45174 2.00185i −0.0997598 0.0814540i
\(605\) 1.85964 0.498288i 0.0756050 0.0202583i
\(606\) −36.7775 13.6271i −1.49399 0.553564i
\(607\) −28.8436 + 16.6529i −1.17073 + 0.675918i −0.953851 0.300281i \(-0.902920\pi\)
−0.216874 + 0.976200i \(0.569586\pi\)
\(608\) 39.4821 + 16.8236i 1.60121 + 0.682286i
\(609\) −0.478512 + 38.3283i −0.0193903 + 1.55314i
\(610\) 1.33904 + 1.57425i 0.0542161 + 0.0637394i
\(611\) −10.7587 + 10.7587i −0.435250 + 0.435250i
\(612\) 20.2727 7.11442i 0.819476 0.287583i
\(613\) −16.1448 16.1448i −0.652082 0.652082i 0.301412 0.953494i \(-0.402542\pi\)
−0.953494 + 0.301412i \(0.902542\pi\)
\(614\) 6.15636 + 0.497041i 0.248451 + 0.0200590i
\(615\) 1.27646 + 2.27604i 0.0514717 + 0.0917788i
\(616\) −2.25129 + 0.652038i −0.0907072 + 0.0262714i
\(617\) 18.3244 + 31.7389i 0.737714 + 1.27776i 0.953522 + 0.301323i \(0.0974282\pi\)
−0.215808 + 0.976436i \(0.569238\pi\)
\(618\) 39.6150 + 3.69666i 1.59355 + 0.148702i
\(619\) −0.913019 3.40743i −0.0366973 0.136956i 0.945147 0.326646i \(-0.105918\pi\)
−0.981844 + 0.189690i \(0.939252\pi\)
\(620\) −0.141307 1.39883i −0.00567503 0.0561784i
\(621\) 0.292006 0.946487i 0.0117178 0.0379812i
\(622\) 6.46233 18.1325i 0.259116 0.727046i
\(623\) 3.59010 6.21824i 0.143834 0.249128i
\(624\) 10.0970 + 3.51193i 0.404204 + 0.140590i
\(625\) 12.2655 + 21.2444i 0.490618 + 0.849776i
\(626\) 14.6348 2.68181i 0.584924 0.107187i
\(627\) −4.46307 1.25580i −0.178238 0.0501517i
\(628\) 6.57100 14.5996i 0.262212 0.582586i
\(629\) 11.7563 11.7563i 0.468754 0.468754i
\(630\) −0.716157 1.61203i −0.0285324 0.0642246i
\(631\) −10.2367 −0.407515 −0.203758 0.979021i \(-0.565315\pi\)
−0.203758 + 0.979021i \(0.565315\pi\)
\(632\) 0.844921 + 41.9989i 0.0336092 + 1.67063i
\(633\) 0.0914139 7.32216i 0.00363338 0.291030i
\(634\) −15.6089 + 22.6129i −0.619907 + 0.898075i
\(635\) −0.386331 + 1.44181i −0.0153311 + 0.0572164i
\(636\) 18.1679 + 15.2160i 0.720403 + 0.603354i
\(637\) −0.592628 2.21172i −0.0234808 0.0876315i
\(638\) −1.57842 + 4.42886i −0.0624904 + 0.175340i
\(639\) 1.63029 + 2.99396i 0.0644932 + 0.118439i
\(640\) −0.0807544 + 2.00118i −0.00319210 + 0.0791036i
\(641\) 13.3541 + 7.70998i 0.527454 + 0.304526i 0.739979 0.672630i \(-0.234835\pi\)
−0.212525 + 0.977156i \(0.568169\pi\)
\(642\) 7.11192 1.21169i 0.280685 0.0478215i
\(643\) 4.94396 18.4511i 0.194971 0.727641i −0.797303 0.603579i \(-0.793741\pi\)
0.992274 0.124063i \(-0.0395924\pi\)
\(644\) −0.883810 0.143647i −0.0348270 0.00566050i
\(645\) −0.320658 1.25939i −0.0126259 0.0495885i
\(646\) 3.09177 38.2947i 0.121644 1.50669i
\(647\) 0.502526i 0.0197563i 0.999951 + 0.00987817i \(0.00314437\pi\)
−0.999951 + 0.00987817i \(0.996856\pi\)
\(648\) 25.4445 + 0.758998i 0.999555 + 0.0298163i
\(649\) 0.982536i 0.0385679i
\(650\) −10.8072 0.872535i −0.423894 0.0342236i
\(651\) 3.98585 + 15.6546i 0.156218 + 0.613551i
\(652\) −23.5002 + 16.9291i −0.920337 + 0.662995i
\(653\) −8.02087 + 29.9343i −0.313881 + 1.17142i 0.611146 + 0.791518i \(0.290709\pi\)
−0.925027 + 0.379902i \(0.875958\pi\)
\(654\) 4.48105 + 26.3012i 0.175223 + 1.02846i
\(655\) 0.834206 + 0.481629i 0.0325951 + 0.0188188i
\(656\) 6.80845 + 33.3553i 0.265825 + 1.30231i
\(657\) −8.14837 14.9642i −0.317898 0.583807i
\(658\) 30.8509 + 10.9951i 1.20269 + 0.428634i
\(659\) 7.61220 + 28.4091i 0.296529 + 1.10666i 0.939995 + 0.341188i \(0.110829\pi\)
−0.643466 + 0.765475i \(0.722504\pi\)
\(660\) −0.0190571 0.215525i −0.000741799 0.00838931i
\(661\) −5.99448 + 22.3717i −0.233158 + 0.870159i 0.745812 + 0.666156i \(0.232062\pi\)
−0.978970 + 0.204002i \(0.934605\pi\)
\(662\) 14.8452 + 10.2471i 0.576975 + 0.398264i
\(663\) 0.119468 9.56926i 0.00463975 0.371639i
\(664\) 25.0792 26.1090i 0.973260 1.01322i
\(665\) −3.15430 −0.122319
\(666\) 18.0023 7.99768i 0.697575 0.309904i
\(667\) −1.27010 + 1.27010i −0.0491786 + 0.0491786i
\(668\) −8.32813 21.9605i −0.322225 0.849677i
\(669\) −12.5246 3.52411i −0.484230 0.136250i
\(670\) 0.535110 + 2.92013i 0.0206731 + 0.112814i
\(671\) −1.45634 2.52246i −0.0562214 0.0973784i
\(672\) −2.48748 22.8769i −0.0959566 0.882497i
\(673\) 20.8639 36.1374i 0.804246 1.39300i −0.112553 0.993646i \(-0.535903\pi\)
0.916799 0.399349i \(-0.130764\pi\)
\(674\) 15.3934 + 5.48615i 0.592933 + 0.211319i
\(675\) −25.1709 + 5.74372i −0.968829 + 0.221076i
\(676\) −13.4323 + 16.4510i −0.516625 + 0.632731i
\(677\) −7.20552 26.8914i −0.276931 1.03352i −0.954537 0.298094i \(-0.903649\pi\)
0.677606 0.735425i \(-0.263017\pi\)
\(678\) −2.71036 + 29.0453i −0.104091 + 1.11548i
\(679\) 2.34088 + 4.05452i 0.0898348 + 0.155598i
\(680\) 1.72214 0.498781i 0.0660411 0.0191274i
\(681\) −5.53705 9.87307i −0.212180 0.378337i
\(682\) −0.159456 + 1.97503i −0.00610590 + 0.0756278i
\(683\) 31.1964 + 31.1964i 1.19370 + 1.19370i 0.976022 + 0.217674i \(0.0698470\pi\)
0.217674 + 0.976022i \(0.430153\pi\)
\(684\) 19.7133 41.0303i 0.753755 1.56883i
\(685\) −0.405948 + 0.405948i −0.0155105 + 0.0155105i
\(686\) −21.4645 + 18.2575i −0.819519 + 0.697075i
\(687\) −0.0243571 + 1.95098i −0.000929281 + 0.0744344i
\(688\) 1.02417 16.9228i 0.0390461 0.645175i
\(689\) 9.14164 5.27793i 0.348269 0.201073i
\(690\) 0.0287192 0.0775087i 0.00109332 0.00295071i
\(691\) 31.9525 8.56164i 1.21553 0.325700i 0.406600 0.913606i \(-0.366714\pi\)
0.808929 + 0.587906i \(0.200047\pi\)
\(692\) 2.98647 + 29.5637i 0.113529 + 1.12384i
\(693\) 0.583273 + 2.41660i 0.0221567 + 0.0917990i
\(694\) 4.07468 + 8.58737i 0.154673 + 0.325972i
\(695\) −2.09710 1.21076i −0.0795474 0.0459267i
\(696\) −40.1523 22.7752i −1.52197 0.863292i
\(697\) 26.3925 15.2377i 0.999686 0.577169i
\(698\) −10.5599 7.28912i −0.399699 0.275897i
\(699\) 23.3993 5.95776i 0.885043 0.225343i
\(700\) 8.27582 + 21.8226i 0.312797 + 0.824815i
\(701\) −22.9365 22.9365i −0.866299 0.866299i 0.125761 0.992061i \(-0.459863\pi\)
−0.992061 + 0.125761i \(0.959863\pi\)
\(702\) 4.20383 10.5307i 0.158663 0.397457i
\(703\) 35.2257i 1.32856i
\(704\) 0.620304 2.75363i 0.0233786 0.103781i
\(705\) −1.54428 + 2.59928i −0.0581609 + 0.0978947i
\(706\) 17.3635 3.18184i 0.653484 0.119750i
\(707\) 36.3246 + 9.73316i 1.36613 + 0.366053i
\(708\) 9.50162 + 1.66632i 0.357093 + 0.0626241i
\(709\) −10.8123 + 2.89716i −0.406066 + 0.108805i −0.456070 0.889944i \(-0.650743\pi\)
0.0500039 + 0.998749i \(0.484077\pi\)
\(710\) 0.121955 + 0.257021i 0.00457690 + 0.00964581i
\(711\) 44.5417 + 1.11234i 1.67044 + 0.0417160i
\(712\) 4.47326 + 7.40007i 0.167643 + 0.277329i
\(713\) −0.378487 + 0.655559i −0.0141745 + 0.0245509i
\(714\) −18.7201 + 8.59797i −0.700582 + 0.321771i
\(715\) −0.0930922 0.0249440i −0.00348145 0.000932852i
\(716\) −17.2021 23.8791i −0.642873 0.892404i
\(717\) 35.8153 + 36.7209i 1.33755 + 1.37137i
\(718\) 12.7444 + 14.9830i 0.475617 + 0.559161i
\(719\) 45.6552 1.70265 0.851325 0.524639i \(-0.175800\pi\)
0.851325 + 0.524639i \(0.175800\pi\)
\(720\) 2.11656 + 0.181225i 0.0788794 + 0.00675386i
\(721\) −38.1488 −1.42074
\(722\) −35.3304 41.5363i −1.31486 1.54582i
\(723\) −5.65968 + 20.1144i −0.210486 + 0.748061i
\(724\) −36.8498 + 26.5460i −1.36951 + 0.986573i
\(725\) 45.2232 + 12.1175i 1.67955 + 0.450033i
\(726\) 2.47510 26.5242i 0.0918597 0.984406i
\(727\) −14.6537 + 25.3810i −0.543477 + 0.941331i 0.455224 + 0.890377i \(0.349559\pi\)
−0.998701 + 0.0509534i \(0.983774\pi\)
\(728\) −9.95225 2.45326i −0.368855 0.0909237i
\(729\) 2.02050 26.9243i 0.0748335 0.997196i
\(730\) −0.609547 1.28462i −0.0225603 0.0475459i
\(731\) −14.6599 + 3.92810i −0.542215 + 0.145286i
\(732\) 26.8633 9.80562i 0.992895 0.362426i
\(733\) −5.18294 1.38877i −0.191436 0.0512952i 0.161827 0.986819i \(-0.448261\pi\)
−0.353263 + 0.935524i \(0.614928\pi\)
\(734\) −9.15481 + 1.67761i −0.337910 + 0.0619216i
\(735\) −0.222563 0.396850i −0.00820935 0.0146380i
\(736\) 0.665059 0.848816i 0.0245144 0.0312878i
\(737\) 4.18397i 0.154119i
\(738\) 35.6681 5.61968i 1.31296 0.206863i
\(739\) 25.3597 + 25.3597i 0.932873 + 0.932873i 0.997884 0.0650119i \(-0.0207085\pi\)
−0.0650119 + 0.997884i \(0.520709\pi\)
\(740\) 1.53706 0.582903i 0.0565035 0.0214279i
\(741\) −14.1573 14.5153i −0.520082 0.533232i
\(742\) −18.7000 12.9079i −0.686498 0.473863i
\(743\) 2.86105 1.65183i 0.104962 0.0605998i −0.446600 0.894734i \(-0.647365\pi\)
0.551562 + 0.834134i \(0.314032\pi\)
\(744\) −18.8291 4.89155i −0.690308 0.179333i
\(745\) −1.94339 1.12202i −0.0712004 0.0411075i
\(746\) −15.8961 33.5010i −0.581998 1.22656i
\(747\) −26.4658 27.8215i −0.968332 1.01793i
\(748\) −2.51403 + 0.253962i −0.0919220 + 0.00928577i
\(749\) −6.68164 + 1.79034i −0.244142 + 0.0654176i
\(750\) −4.26122 + 0.726002i −0.155598 + 0.0265098i
\(751\) 15.0045 8.66287i 0.547523 0.316112i −0.200599 0.979673i \(-0.564289\pi\)
0.748122 + 0.663561i \(0.230956\pi\)
\(752\) −29.5239 + 26.1542i −1.07663 + 0.953746i
\(753\) −29.3466 17.4353i −1.06945 0.635378i
\(754\) −15.6624 + 13.3223i −0.570390 + 0.485168i
\(755\) −0.198102 + 0.198102i −0.00720967 + 0.00720967i
\(756\) −24.3589 + 1.54214i −0.885925 + 0.0560871i
\(757\) −29.0206 29.0206i −1.05477 1.05477i −0.998410 0.0563619i \(-0.982050\pi\)
−0.0563619 0.998410i \(-0.517950\pi\)
\(758\) 0.914674 11.3292i 0.0332224 0.411494i
\(759\) −0.0595015 + 0.100151i −0.00215977 + 0.00363526i
\(760\) 1.83279 3.32730i 0.0664823 0.120694i
\(761\) 9.85285 + 17.0656i 0.357166 + 0.618629i 0.987486 0.157706i \(-0.0504098\pi\)
−0.630320 + 0.776335i \(0.717076\pi\)
\(762\) 16.8500 + 11.9442i 0.610412 + 0.432694i
\(763\) −6.62101 24.7100i −0.239697 0.894560i
\(764\) 10.7067 + 8.74200i 0.387353 + 0.316274i
\(765\) −0.446178 1.84859i −0.0161316 0.0668360i
\(766\) 18.4253 + 6.56671i 0.665735 + 0.237265i
\(767\) 2.14845 3.72123i 0.0775761 0.134366i
\(768\) 25.5770 + 10.6686i 0.922929 + 0.384971i
\(769\) −20.5479 35.5899i −0.740974 1.28341i −0.952052 0.305936i \(-0.901031\pi\)
0.211078 0.977469i \(-0.432303\pi\)
\(770\) 0.0373936 + 0.204059i 0.00134757 + 0.00735378i
\(771\) −30.0705 + 29.3289i −1.08296 + 1.05626i
\(772\) −29.2818 + 11.1046i −1.05388 + 0.399663i
\(773\) −18.7350 + 18.7350i