Properties

Label 144.2.u.a.131.21
Level $144$
Weight $2$
Character 144.131
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 131.21
Character \(\chi\) \(=\) 144.131
Dual form 144.2.u.a.11.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37902 + 0.313539i) q^{2} +(-0.412428 - 1.68223i) q^{3} +(1.80339 + 0.864752i) q^{4} +(0.289971 - 0.0776974i) q^{5} +(-0.0413015 - 2.44914i) q^{6} +(-0.374023 - 0.647827i) q^{7} +(2.21577 + 1.75794i) q^{8} +(-2.65981 + 1.38760i) q^{9} +O(q^{10})\) \(q+(1.37902 + 0.313539i) q^{2} +(-0.412428 - 1.68223i) q^{3} +(1.80339 + 0.864752i) q^{4} +(0.289971 - 0.0776974i) q^{5} +(-0.0413015 - 2.44914i) q^{6} +(-0.374023 - 0.647827i) q^{7} +(2.21577 + 1.75794i) q^{8} +(-2.65981 + 1.38760i) q^{9} +(0.424236 - 0.0162292i) q^{10} +(-2.23720 - 0.599457i) q^{11} +(0.710945 - 3.39036i) q^{12} +(1.60318 - 0.429571i) q^{13} +(-0.312666 - 1.01064i) q^{14} +(-0.250297 - 0.455753i) q^{15} +(2.50441 + 3.11896i) q^{16} +6.74518i q^{17} +(-4.10299 + 1.07957i) q^{18} +(0.621335 - 0.621335i) q^{19} +(0.590118 + 0.110634i) q^{20} +(-0.935537 + 0.896375i) q^{21} +(-2.89719 - 1.52811i) q^{22} +(-6.06191 - 3.49985i) q^{23} +(2.04342 - 4.45247i) q^{24} +(-4.25208 + 2.45494i) q^{25} +(2.34550 - 0.0897272i) q^{26} +(3.43124 + 3.90212i) q^{27} +(-0.114299 - 1.49172i) q^{28} +(-5.44240 - 1.45829i) q^{29} +(-0.202268 - 0.706970i) q^{30} +(3.13647 + 1.81084i) q^{31} +(2.47571 + 5.08634i) q^{32} +(-0.0857395 + 4.01073i) q^{33} +(-2.11488 + 9.30173i) q^{34} +(-0.158790 - 0.158790i) q^{35} +(-5.99659 + 0.202306i) q^{36} +(6.74053 - 6.74053i) q^{37} +(1.05165 - 0.662020i) q^{38} +(-1.38383 - 2.51975i) q^{39} +(0.779096 + 0.337592i) q^{40} +(-1.39492 + 2.41607i) q^{41} +(-1.57117 + 0.942791i) q^{42} +(1.89907 - 7.08744i) q^{43} +(-3.51616 - 3.01568i) q^{44} +(-0.663453 + 0.609023i) q^{45} +(-7.26216 - 6.72700i) q^{46} +(0.307120 + 0.531947i) q^{47} +(4.21393 - 5.49934i) q^{48} +(3.22021 - 5.57757i) q^{49} +(-6.63342 + 2.05222i) q^{50} +(11.3470 - 2.78190i) q^{51} +(3.26263 + 0.611671i) q^{52} +(2.68523 + 2.68523i) q^{53} +(3.50828 + 6.45693i) q^{54} -0.695300 q^{55} +(0.310092 - 2.09295i) q^{56} +(-1.30149 - 0.788974i) q^{57} +(-7.04794 - 3.71741i) q^{58} +(-0.00225603 - 0.00841962i) q^{59} +(-0.0572691 - 1.03834i) q^{60} +(2.72542 - 10.1714i) q^{61} +(3.75748 + 3.48059i) q^{62} +(1.89375 + 1.20410i) q^{63} +(1.81929 + 7.79039i) q^{64} +(0.431499 - 0.249126i) q^{65} +(-1.37575 + 5.50399i) q^{66} +(2.35300 + 8.78151i) q^{67} +(-5.83291 + 12.1642i) q^{68} +(-3.38745 + 11.6410i) q^{69} +(-0.169188 - 0.268762i) q^{70} -15.9645i q^{71} +(-8.33284 - 1.60118i) q^{72} +8.17785i q^{73} +(11.4087 - 7.18190i) q^{74} +(5.88346 + 6.14050i) q^{75} +(1.65781 - 0.583207i) q^{76} +(0.448421 + 1.67353i) q^{77} +(-1.11829 - 3.90867i) q^{78} +(-7.67035 + 4.42848i) q^{79} +(0.968541 + 0.709822i) q^{80} +(5.14914 - 7.38149i) q^{81} +(-2.68115 + 2.89445i) q^{82} +(-0.353727 + 1.32013i) q^{83} +(-2.46228 + 0.807504i) q^{84} +(0.524083 + 1.95590i) q^{85} +(4.84105 - 9.17828i) q^{86} +(-0.208577 + 9.75681i) q^{87} +(-3.90332 - 5.26113i) q^{88} +15.7852 q^{89} +(-1.10587 + 0.631836i) q^{90} +(-0.877914 - 0.877914i) q^{91} +(-7.90548 - 11.5536i) q^{92} +(1.75268 - 6.02310i) q^{93} +(0.256738 + 0.829859i) q^{94} +(0.131893 - 0.228445i) q^{95} +(7.53535 - 6.26247i) q^{96} +(-4.62075 - 8.00338i) q^{97} +(6.18952 - 6.68192i) q^{98} +(6.78233 - 1.50990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37902 + 0.313539i 0.975114 + 0.221705i
\(3\) −0.412428 1.68223i −0.238116 0.971237i
\(4\) 1.80339 + 0.864752i 0.901693 + 0.432376i
\(5\) 0.289971 0.0776974i 0.129679 0.0347473i −0.193396 0.981121i \(-0.561950\pi\)
0.323075 + 0.946373i \(0.395283\pi\)
\(6\) −0.0413015 2.44914i −0.0168613 0.999858i
\(7\) −0.374023 0.647827i −0.141367 0.244855i 0.786644 0.617406i \(-0.211817\pi\)
−0.928012 + 0.372551i \(0.878483\pi\)
\(8\) 2.21577 + 1.75794i 0.783394 + 0.621526i
\(9\) −2.65981 + 1.38760i −0.886602 + 0.462533i
\(10\) 0.424236 0.0162292i 0.134155 0.00513211i
\(11\) −2.23720 0.599457i −0.674542 0.180743i −0.0947421 0.995502i \(-0.530203\pi\)
−0.579800 + 0.814759i \(0.696869\pi\)
\(12\) 0.710945 3.39036i 0.205232 0.978713i
\(13\) 1.60318 0.429571i 0.444642 0.119142i −0.0295491 0.999563i \(-0.509407\pi\)
0.474191 + 0.880422i \(0.342740\pi\)
\(14\) −0.312666 1.01064i −0.0835635 0.270104i
\(15\) −0.250297 0.455753i −0.0646264 0.117675i
\(16\) 2.50441 + 3.11896i 0.626102 + 0.779741i
\(17\) 6.74518i 1.63595i 0.575256 + 0.817973i \(0.304902\pi\)
−0.575256 + 0.817973i \(0.695098\pi\)
\(18\) −4.10299 + 1.07957i −0.967084 + 0.254458i
\(19\) 0.621335 0.621335i 0.142544 0.142544i −0.632234 0.774778i \(-0.717862\pi\)
0.774778 + 0.632234i \(0.217862\pi\)
\(20\) 0.590118 + 0.110634i 0.131954 + 0.0247386i
\(21\) −0.935537 + 0.896375i −0.204151 + 0.195605i
\(22\) −2.89719 1.52811i −0.617684 0.325795i
\(23\) −6.06191 3.49985i −1.26400 0.729769i −0.290151 0.956981i \(-0.593706\pi\)
−0.973845 + 0.227212i \(0.927039\pi\)
\(24\) 2.04342 4.45247i 0.417111 0.908856i
\(25\) −4.25208 + 2.45494i −0.850416 + 0.490988i
\(26\) 2.34550 0.0897272i 0.459991 0.0175970i
\(27\) 3.43124 + 3.90212i 0.660343 + 0.750964i
\(28\) −0.114299 1.49172i −0.0216004 0.281908i
\(29\) −5.44240 1.45829i −1.01063 0.270797i −0.284736 0.958606i \(-0.591906\pi\)
−0.725892 + 0.687809i \(0.758573\pi\)
\(30\) −0.202268 0.706970i −0.0369289 0.129075i
\(31\) 3.13647 + 1.81084i 0.563326 + 0.325236i 0.754479 0.656324i \(-0.227889\pi\)
−0.191153 + 0.981560i \(0.561223\pi\)
\(32\) 2.47571 + 5.08634i 0.437648 + 0.899146i
\(33\) −0.0857395 + 4.01073i −0.0149253 + 0.698178i
\(34\) −2.11488 + 9.30173i −0.362698 + 1.59523i
\(35\) −0.158790 0.158790i −0.0268404 0.0268404i
\(36\) −5.99659 + 0.202306i −0.999431 + 0.0337177i
\(37\) 6.74053 6.74053i 1.10814 1.10814i 0.114740 0.993396i \(-0.463396\pi\)
0.993396 0.114740i \(-0.0366036\pi\)
\(38\) 1.05165 0.662020i 0.170599 0.107394i
\(39\) −1.38383 2.51975i −0.221591 0.403483i
\(40\) 0.779096 + 0.337592i 0.123186 + 0.0533779i
\(41\) −1.39492 + 2.41607i −0.217850 + 0.377327i −0.954150 0.299328i \(-0.903238\pi\)
0.736301 + 0.676655i \(0.236571\pi\)
\(42\) −1.57117 + 0.942791i −0.242437 + 0.145476i
\(43\) 1.89907 7.08744i 0.289606 1.08082i −0.655801 0.754934i \(-0.727669\pi\)
0.945407 0.325891i \(-0.105664\pi\)
\(44\) −3.51616 3.01568i −0.530081 0.454631i
\(45\) −0.663453 + 0.609023i −0.0989017 + 0.0907878i
\(46\) −7.26216 6.72700i −1.07075 0.991842i
\(47\) 0.307120 + 0.531947i 0.0447980 + 0.0775924i 0.887555 0.460702i \(-0.152402\pi\)
−0.842757 + 0.538294i \(0.819069\pi\)
\(48\) 4.21393 5.49934i 0.608229 0.793762i
\(49\) 3.22021 5.57757i 0.460031 0.796796i
\(50\) −6.63342 + 2.05222i −0.938107 + 0.290227i
\(51\) 11.3470 2.78190i 1.58889 0.389544i
\(52\) 3.26263 + 0.611671i 0.452445 + 0.0848235i
\(53\) 2.68523 + 2.68523i 0.368844 + 0.368844i 0.867056 0.498211i \(-0.166010\pi\)
−0.498211 + 0.867056i \(0.666010\pi\)
\(54\) 3.50828 + 6.45693i 0.477417 + 0.878677i
\(55\) −0.695300 −0.0937542
\(56\) 0.310092 2.09295i 0.0414378 0.279682i
\(57\) −1.30149 0.788974i −0.172386 0.104502i
\(58\) −7.04794 3.71741i −0.925440 0.488120i
\(59\) −0.00225603 0.00841962i −0.000293710 0.00109614i 0.965779 0.259367i \(-0.0835139\pi\)
−0.966073 + 0.258271i \(0.916847\pi\)
\(60\) −0.0572691 1.03834i −0.00739341 0.134050i
\(61\) 2.72542 10.1714i 0.348955 1.30232i −0.538969 0.842326i \(-0.681186\pi\)
0.887924 0.459991i \(-0.152147\pi\)
\(62\) 3.75748 + 3.48059i 0.477200 + 0.442035i
\(63\) 1.89375 + 1.20410i 0.238590 + 0.151702i
\(64\) 1.81929 + 7.79039i 0.227411 + 0.973799i
\(65\) 0.431499 0.249126i 0.0535208 0.0309003i
\(66\) −1.37575 + 5.50399i −0.169344 + 0.677494i
\(67\) 2.35300 + 8.78151i 0.287464 + 1.07283i 0.947020 + 0.321176i \(0.104078\pi\)
−0.659555 + 0.751656i \(0.729255\pi\)
\(68\) −5.83291 + 12.1642i −0.707344 + 1.47512i
\(69\) −3.38745 + 11.6410i −0.407801 + 1.40141i
\(70\) −0.169188 0.268762i −0.0202218 0.0321231i
\(71\) 15.9645i 1.89463i −0.320297 0.947317i \(-0.603783\pi\)
0.320297 0.947317i \(-0.396217\pi\)
\(72\) −8.33284 1.60118i −0.982035 0.188701i
\(73\) 8.17785i 0.957145i 0.878048 + 0.478572i \(0.158846\pi\)
−0.878048 + 0.478572i \(0.841154\pi\)
\(74\) 11.4087 7.18190i 1.32624 0.834879i
\(75\) 5.88346 + 6.14050i 0.679363 + 0.709044i
\(76\) 1.65781 0.583207i 0.190164 0.0668984i
\(77\) 0.448421 + 1.67353i 0.0511023 + 0.190717i
\(78\) −1.11829 3.90867i −0.126622 0.442570i
\(79\) −7.67035 + 4.42848i −0.862982 + 0.498243i −0.865010 0.501755i \(-0.832688\pi\)
0.00202794 + 0.999998i \(0.499354\pi\)
\(80\) 0.968541 + 0.709822i 0.108286 + 0.0793605i
\(81\) 5.14914 7.38149i 0.572126 0.820166i
\(82\) −2.68115 + 2.89445i −0.296084 + 0.319638i
\(83\) −0.353727 + 1.32013i −0.0388266 + 0.144903i −0.982618 0.185638i \(-0.940565\pi\)
0.943791 + 0.330541i \(0.107231\pi\)
\(84\) −2.46228 + 0.807504i −0.268656 + 0.0881059i
\(85\) 0.524083 + 1.95590i 0.0568448 + 0.212148i
\(86\) 4.84105 9.17828i 0.522024 0.989720i
\(87\) −0.208577 + 9.75681i −0.0223618 + 1.04604i
\(88\) −3.90332 5.26113i −0.416095 0.560838i
\(89\) 15.7852 1.67323 0.836613 0.547794i \(-0.184532\pi\)
0.836613 + 0.547794i \(0.184532\pi\)
\(90\) −1.10587 + 0.631836i −0.116569 + 0.0666014i
\(91\) −0.877914 0.877914i −0.0920304 0.0920304i
\(92\) −7.90548 11.5536i −0.824203 1.20455i
\(93\) 1.75268 6.02310i 0.181745 0.624567i
\(94\) 0.256738 + 0.829859i 0.0264805 + 0.0855934i
\(95\) 0.131893 0.228445i 0.0135319 0.0234380i
\(96\) 7.53535 6.26247i 0.769073 0.639161i
\(97\) −4.62075 8.00338i −0.469166 0.812620i 0.530212 0.847865i \(-0.322112\pi\)
−0.999379 + 0.0352448i \(0.988779\pi\)
\(98\) 6.18952 6.68192i 0.625236 0.674976i
\(99\) 6.78233 1.50990i 0.681650 0.151751i
\(100\) −9.79106 + 0.750212i −0.979106 + 0.0750212i
\(101\) 4.08762 15.2552i 0.406734 1.51795i −0.394102 0.919067i \(-0.628944\pi\)
0.800835 0.598885i \(-0.204389\pi\)
\(102\) 16.5199 0.278586i 1.63571 0.0275841i
\(103\) −5.63994 + 9.76866i −0.555720 + 0.962535i 0.442127 + 0.896952i \(0.354224\pi\)
−0.997847 + 0.0655828i \(0.979109\pi\)
\(104\) 4.30744 + 1.86647i 0.422379 + 0.183022i
\(105\) −0.201632 + 0.332611i −0.0196773 + 0.0324595i
\(106\) 2.86106 + 4.54490i 0.277890 + 0.441440i
\(107\) −9.39963 + 9.39963i −0.908696 + 0.908696i −0.996167 0.0874707i \(-0.972122\pi\)
0.0874707 + 0.996167i \(0.472122\pi\)
\(108\) 2.81349 + 10.0042i 0.270728 + 0.962656i
\(109\) 0.535130 + 0.535130i 0.0512562 + 0.0512562i 0.732270 0.681014i \(-0.238461\pi\)
−0.681014 + 0.732270i \(0.738461\pi\)
\(110\) −0.958831 0.218003i −0.0914210 0.0207858i
\(111\) −14.1191 8.55914i −1.34013 0.812398i
\(112\) 1.08384 2.78899i 0.102413 0.263535i
\(113\) 3.53279 + 2.03966i 0.332337 + 0.191875i 0.656878 0.753997i \(-0.271877\pi\)
−0.324541 + 0.945872i \(0.605210\pi\)
\(114\) −1.54740 1.49608i −0.144927 0.140120i
\(115\) −2.02971 0.543858i −0.189271 0.0507150i
\(116\) −8.55369 7.33618i −0.794191 0.681147i
\(117\) −3.66808 + 3.36715i −0.339114 + 0.311293i
\(118\) −0.000471231 0.0123182i −4.33803e−5 0.00113398i
\(119\) 4.36971 2.52285i 0.400570 0.231269i
\(120\) 0.246586 1.44985i 0.0225101 0.132353i
\(121\) −4.88055 2.81779i −0.443686 0.256162i
\(122\) 6.94754 13.1721i 0.629001 1.19254i
\(123\) 4.63969 + 1.35012i 0.418347 + 0.121736i
\(124\) 4.09033 + 5.97791i 0.367323 + 0.536832i
\(125\) −2.10360 + 2.10360i −0.188152 + 0.188152i
\(126\) 2.23399 + 2.25424i 0.199020 + 0.200824i
\(127\) 1.78789i 0.158650i 0.996849 + 0.0793250i \(0.0252765\pi\)
−0.996849 + 0.0793250i \(0.974724\pi\)
\(128\) 0.0662414 + 11.3135i 0.00585496 + 0.999983i
\(129\) −12.7060 0.271622i −1.11870 0.0239150i
\(130\) 0.673156 0.208258i 0.0590397 0.0182654i
\(131\) 3.87165 1.03741i 0.338268 0.0906386i −0.0856865 0.996322i \(-0.527308\pi\)
0.423954 + 0.905684i \(0.360642\pi\)
\(132\) −3.62290 + 7.15875i −0.315333 + 0.623089i
\(133\) −0.634911 0.170124i −0.0550538 0.0147516i
\(134\) 0.491486 + 12.8476i 0.0424579 + 1.10987i
\(135\) 1.29814 + 0.864903i 0.111727 + 0.0744390i
\(136\) −11.8576 + 14.9458i −1.01678 + 1.28159i
\(137\) 0.396519 + 0.686792i 0.0338769 + 0.0586766i 0.882467 0.470375i \(-0.155881\pi\)
−0.848590 + 0.529051i \(0.822548\pi\)
\(138\) −8.32126 + 14.9910i −0.708352 + 1.27612i
\(139\) −17.7067 + 4.74448i −1.50186 + 0.402422i −0.913722 0.406340i \(-0.866805\pi\)
−0.588137 + 0.808762i \(0.700138\pi\)
\(140\) −0.149046 0.423674i −0.0125967 0.0358070i
\(141\) 0.768193 0.736036i 0.0646935 0.0619854i
\(142\) 5.00548 22.0153i 0.420051 1.84748i
\(143\) −3.84415 −0.321464
\(144\) −10.9891 4.82072i −0.915759 0.401727i
\(145\) −1.69144 −0.140467
\(146\) −2.56407 + 11.2774i −0.212204 + 0.933325i
\(147\) −10.7109 3.11680i −0.883418 0.257069i
\(148\) 17.9847 6.32689i 1.47833 0.520067i
\(149\) −12.6146 + 3.38007i −1.03343 + 0.276906i −0.735388 0.677647i \(-0.763000\pi\)
−0.298041 + 0.954553i \(0.596333\pi\)
\(150\) 6.18811 + 10.3126i 0.505257 + 0.842017i
\(151\) 9.45023 + 16.3683i 0.769049 + 1.33203i 0.938079 + 0.346421i \(0.112603\pi\)
−0.169030 + 0.985611i \(0.554063\pi\)
\(152\) 2.46901 0.284466i 0.200263 0.0230733i
\(153\) −9.35961 17.9409i −0.756679 1.45043i
\(154\) 0.0936646 + 2.44843i 0.00754771 + 0.197300i
\(155\) 1.05018 + 0.281395i 0.0843526 + 0.0226022i
\(156\) −0.316627 5.74076i −0.0253505 0.459629i
\(157\) −9.20155 + 2.46555i −0.734364 + 0.196772i −0.606572 0.795029i \(-0.707456\pi\)
−0.127792 + 0.991801i \(0.540789\pi\)
\(158\) −11.9661 + 3.70200i −0.951968 + 0.294516i
\(159\) 3.40971 5.62463i 0.270408 0.446063i
\(160\) 1.11308 + 1.28253i 0.0879966 + 0.101393i
\(161\) 5.23609i 0.412662i
\(162\) 9.41514 8.56476i 0.739723 0.672911i
\(163\) −6.24968 + 6.24968i −0.489512 + 0.489512i −0.908152 0.418640i \(-0.862507\pi\)
0.418640 + 0.908152i \(0.362507\pi\)
\(164\) −4.60488 + 3.15085i −0.359581 + 0.246040i
\(165\) 0.286761 + 1.16965i 0.0223243 + 0.0910575i
\(166\) −0.901709 + 1.70958i −0.0699862 + 0.132689i
\(167\) 7.96426 + 4.59817i 0.616293 + 0.355817i 0.775424 0.631441i \(-0.217536\pi\)
−0.159132 + 0.987257i \(0.550869\pi\)
\(168\) −3.64871 + 0.341544i −0.281504 + 0.0263507i
\(169\) −8.87267 + 5.12264i −0.682513 + 0.394049i
\(170\) 0.109469 + 2.86155i 0.00839585 + 0.219471i
\(171\) −0.790467 + 2.51480i −0.0604485 + 0.192311i
\(172\) 9.55364 11.1392i 0.728459 0.849354i
\(173\) 7.67137 + 2.05554i 0.583243 + 0.156280i 0.538363 0.842713i \(-0.319043\pi\)
0.0448800 + 0.998992i \(0.485709\pi\)
\(174\) −3.34677 + 13.3894i −0.253718 + 1.01505i
\(175\) 3.18075 + 1.83641i 0.240442 + 0.138819i
\(176\) −3.73319 8.47904i −0.281399 0.639132i
\(177\) −0.0132333 + 0.00726765i −0.000994675 + 0.000546270i
\(178\) 21.7681 + 4.94927i 1.63159 + 0.370963i
\(179\) −7.99447 7.99447i −0.597535 0.597535i 0.342121 0.939656i \(-0.388855\pi\)
−0.939656 + 0.342121i \(0.888855\pi\)
\(180\) −1.72312 + 0.524582i −0.128434 + 0.0391001i
\(181\) 14.5271 14.5271i 1.07979 1.07979i 0.0832666 0.996527i \(-0.473465\pi\)
0.996527 0.0832666i \(-0.0265353\pi\)
\(182\) −0.935400 1.48592i −0.0693364 0.110144i
\(183\) −18.2347 0.389813i −1.34795 0.0288158i
\(184\) −7.27929 18.4113i −0.536636 1.35730i
\(185\) 1.43083 2.47828i 0.105197 0.182207i
\(186\) 4.30546 7.75644i 0.315692 0.568730i
\(187\) 4.04344 15.0903i 0.295686 1.10351i
\(188\) 0.0938535 + 1.22489i 0.00684497 + 0.0893341i
\(189\) 1.24454 3.68233i 0.0905268 0.267850i
\(190\) 0.253509 0.273677i 0.0183915 0.0198546i
\(191\) 10.2382 + 17.7332i 0.740813 + 1.28313i 0.952125 + 0.305708i \(0.0988930\pi\)
−0.211312 + 0.977419i \(0.567774\pi\)
\(192\) 12.3549 6.27344i 0.891639 0.452746i
\(193\) −2.37336 + 4.11078i −0.170838 + 0.295901i −0.938713 0.344699i \(-0.887981\pi\)
0.767875 + 0.640600i \(0.221314\pi\)
\(194\) −3.86274 12.4856i −0.277328 0.896414i
\(195\) −0.597050 0.623134i −0.0427556 0.0446236i
\(196\) 10.6305 7.27384i 0.759322 0.519560i
\(197\) −6.65282 6.65282i −0.473994 0.473994i 0.429210 0.903205i \(-0.358792\pi\)
−0.903205 + 0.429210i \(0.858792\pi\)
\(198\) 9.82638 + 0.0443391i 0.698330 + 0.00315104i
\(199\) 22.8401 1.61909 0.809544 0.587059i \(-0.199714\pi\)
0.809544 + 0.587059i \(0.199714\pi\)
\(200\) −13.7373 2.03532i −0.971372 0.143919i
\(201\) 13.8021 7.58003i 0.973524 0.534654i
\(202\) 10.4200 19.7556i 0.733150 1.39000i
\(203\) 1.09087 + 4.07116i 0.0765637 + 0.285740i
\(204\) 22.8686 + 4.79545i 1.60112 + 0.335749i
\(205\) −0.216763 + 0.808971i −0.0151394 + 0.0565010i
\(206\) −10.8404 + 11.7028i −0.755289 + 0.815375i
\(207\) 20.9799 + 0.897407i 1.45820 + 0.0623741i
\(208\) 5.35483 + 3.92444i 0.371291 + 0.272111i
\(209\) −1.76252 + 1.01759i −0.121916 + 0.0703881i
\(210\) −0.382341 + 0.395458i −0.0263841 + 0.0272892i
\(211\) −3.96884 14.8119i −0.273226 1.01969i −0.957021 0.290019i \(-0.906338\pi\)
0.683795 0.729674i \(-0.260328\pi\)
\(212\) 2.52045 + 7.16456i 0.173105 + 0.492064i
\(213\) −26.8559 + 6.58420i −1.84014 + 0.451142i
\(214\) −15.9094 + 10.0151i −1.08755 + 0.684619i
\(215\) 2.20270i 0.150223i
\(216\) 0.743145 + 14.6781i 0.0505646 + 0.998721i
\(217\) 2.70918i 0.183911i
\(218\) 0.570171 + 0.905739i 0.0386168 + 0.0613444i
\(219\) 13.7570 3.37277i 0.929614 0.227911i
\(220\) −1.25389 0.601262i −0.0845375 0.0405371i
\(221\) 2.89753 + 10.8137i 0.194909 + 0.727411i
\(222\) −16.7869 16.2301i −1.12666 1.08929i
\(223\) −6.39965 + 3.69484i −0.428552 + 0.247425i −0.698730 0.715386i \(-0.746251\pi\)
0.270178 + 0.962811i \(0.412918\pi\)
\(224\) 2.36909 3.50624i 0.158292 0.234270i
\(225\) 7.90324 12.4298i 0.526882 0.828657i
\(226\) 4.23227 + 3.92039i 0.281527 + 0.260781i
\(227\) −5.52301 + 20.6122i −0.366575 + 1.36808i 0.498698 + 0.866776i \(0.333812\pi\)
−0.865273 + 0.501301i \(0.832855\pi\)
\(228\) −1.66482 2.54829i −0.110255 0.168764i
\(229\) 4.76891 + 17.7978i 0.315138 + 1.17611i 0.923861 + 0.382729i \(0.125016\pi\)
−0.608722 + 0.793383i \(0.708318\pi\)
\(230\) −2.62848 1.38638i −0.173317 0.0914154i
\(231\) 2.63032 1.44456i 0.173063 0.0950450i
\(232\) −9.49553 12.7986i −0.623412 0.840272i
\(233\) 14.3249 0.938455 0.469228 0.883077i \(-0.344532\pi\)
0.469228 + 0.883077i \(0.344532\pi\)
\(234\) −6.11408 + 3.49328i −0.399690 + 0.228363i
\(235\) 0.130387 + 0.130387i 0.00850548 + 0.00850548i
\(236\) 0.00321239 0.0171347i 0.000209108 0.00111538i
\(237\) 10.6132 + 11.0769i 0.689401 + 0.719520i
\(238\) 6.81692 2.10899i 0.441875 0.136705i
\(239\) 11.4921 19.9049i 0.743364 1.28754i −0.207592 0.978216i \(-0.566562\pi\)
0.950955 0.309328i \(-0.100104\pi\)
\(240\) 0.794632 1.92206i 0.0512933 0.124068i
\(241\) 10.2735 + 17.7943i 0.661777 + 1.14623i 0.980148 + 0.198265i \(0.0635306\pi\)
−0.318372 + 0.947966i \(0.603136\pi\)
\(242\) −5.84689 5.41602i −0.375852 0.348155i
\(243\) −14.5410 5.61770i −0.932807 0.360376i
\(244\) 13.7107 15.9862i 0.877741 1.02341i
\(245\) 0.500405 1.86754i 0.0319697 0.119312i
\(246\) 5.97491 + 3.31657i 0.380946 + 0.211457i
\(247\) 0.729205 1.26302i 0.0463982 0.0803640i
\(248\) 3.76634 + 9.52613i 0.239163 + 0.604910i
\(249\) 2.36665 + 0.0505931i 0.149980 + 0.00320621i
\(250\) −3.56047 + 2.24135i −0.225184 + 0.141755i
\(251\) −0.440838 + 0.440838i −0.0278255 + 0.0278255i −0.720883 0.693057i \(-0.756263\pi\)
0.693057 + 0.720883i \(0.256263\pi\)
\(252\) 2.37392 + 3.80908i 0.149543 + 0.239950i
\(253\) 11.4637 + 11.4637i 0.720718 + 0.720718i
\(254\) −0.560574 + 2.46554i −0.0351735 + 0.154702i
\(255\) 3.07414 1.68830i 0.192510 0.105725i
\(256\) −3.45588 + 15.6223i −0.215992 + 0.976395i
\(257\) −4.78636 2.76341i −0.298565 0.172377i 0.343233 0.939250i \(-0.388478\pi\)
−0.641798 + 0.766874i \(0.721811\pi\)
\(258\) −17.4366 4.35838i −1.08555 0.271341i
\(259\) −6.88781 1.84558i −0.427987 0.114679i
\(260\) 0.993591 0.0761311i 0.0616199 0.00472145i
\(261\) 16.4992 3.67311i 1.02128 0.227360i
\(262\) 5.66435 0.216690i 0.349945 0.0133871i
\(263\) 4.83474 2.79134i 0.298123 0.172121i −0.343477 0.939161i \(-0.611605\pi\)
0.641599 + 0.767040i \(0.278271\pi\)
\(264\) −7.24060 + 8.73613i −0.445628 + 0.537672i
\(265\) 0.987272 + 0.570002i 0.0606476 + 0.0350149i
\(266\) −0.822214 0.433673i −0.0504132 0.0265902i
\(267\) −6.51026 26.5543i −0.398421 1.62510i
\(268\) −3.35046 + 17.8712i −0.204662 + 1.09166i
\(269\) −1.66733 + 1.66733i −0.101659 + 0.101659i −0.756107 0.654448i \(-0.772901\pi\)
0.654448 + 0.756107i \(0.272901\pi\)
\(270\) 1.51899 + 1.59974i 0.0924425 + 0.0973569i
\(271\) 23.2740i 1.41379i −0.707317 0.706897i \(-0.750095\pi\)
0.707317 0.706897i \(-0.249905\pi\)
\(272\) −21.0380 + 16.8927i −1.27561 + 1.02427i
\(273\) −1.11478 + 1.83893i −0.0674694 + 0.111297i
\(274\) 0.331472 + 1.07142i 0.0200250 + 0.0647270i
\(275\) 10.9844 2.94326i 0.662384 0.177485i
\(276\) −16.1754 + 18.0639i −0.973647 + 1.08732i
\(277\) −0.684687 0.183461i −0.0411389 0.0110231i 0.238191 0.971218i \(-0.423446\pi\)
−0.279330 + 0.960195i \(0.590112\pi\)
\(278\) −25.9054 + 0.991010i −1.55370 + 0.0594368i
\(279\) −10.8551 0.464323i −0.649879 0.0277983i
\(280\) −0.0726990 0.630986i −0.00434460 0.0377087i
\(281\) 2.29162 + 3.96921i 0.136707 + 0.236783i 0.926248 0.376914i \(-0.123015\pi\)
−0.789541 + 0.613697i \(0.789682\pi\)
\(282\) 1.29013 0.774150i 0.0768260 0.0460999i
\(283\) 14.0269 3.75850i 0.833814 0.223420i 0.183437 0.983031i \(-0.441278\pi\)
0.650377 + 0.759612i \(0.274611\pi\)
\(284\) 13.8053 28.7901i 0.819194 1.70838i
\(285\) −0.438694 0.127657i −0.0259860 0.00756176i
\(286\) −5.30116 1.20529i −0.313464 0.0712703i
\(287\) 2.08693 0.123187
\(288\) −13.6427 10.0934i −0.803905 0.594758i
\(289\) −28.4974 −1.67632
\(290\) −2.33253 0.530332i −0.136971 0.0311422i
\(291\) −11.5578 + 11.0740i −0.677531 + 0.649169i
\(292\) −7.07181 + 14.7478i −0.413846 + 0.863051i
\(293\) −6.04141 + 1.61879i −0.352943 + 0.0945708i −0.430934 0.902383i \(-0.641816\pi\)
0.0779914 + 0.996954i \(0.475149\pi\)
\(294\) −13.7933 7.65640i −0.804440 0.446530i
\(295\) −0.00130836 0.00226615i −7.61760e−5 0.000131941i
\(296\) 26.7849 3.08602i 1.55684 0.179371i
\(297\) −5.33723 10.7867i −0.309698 0.625909i
\(298\) −18.4556 + 0.706017i −1.06910 + 0.0408985i
\(299\) −11.2218 3.00687i −0.648972 0.173892i
\(300\) 5.30014 + 16.1614i 0.306004 + 0.933080i
\(301\) −5.30173 + 1.42059i −0.305587 + 0.0818817i
\(302\) 7.89996 + 25.5352i 0.454592 + 1.46939i
\(303\) −27.3487 0.584647i −1.57114 0.0335871i
\(304\) 3.49400 + 0.381845i 0.200395 + 0.0219003i
\(305\) 3.16117i 0.181008i
\(306\) −7.28192 27.6754i −0.416280 1.58210i
\(307\) −4.52060 + 4.52060i −0.258004 + 0.258004i −0.824242 0.566238i \(-0.808398\pi\)
0.566238 + 0.824242i \(0.308398\pi\)
\(308\) −0.638512 + 3.40580i −0.0363826 + 0.194063i
\(309\) 18.7592 + 5.45881i 1.06718 + 0.310541i
\(310\) 1.35999 + 0.717322i 0.0772423 + 0.0407411i
\(311\) 10.9637 + 6.32992i 0.621697 + 0.358937i 0.777529 0.628847i \(-0.216473\pi\)
−0.155832 + 0.987784i \(0.549806\pi\)
\(312\) 1.36332 8.01590i 0.0771826 0.453811i
\(313\) 16.6282 9.60027i 0.939879 0.542640i 0.0499568 0.998751i \(-0.484092\pi\)
0.889922 + 0.456112i \(0.150758\pi\)
\(314\) −13.4622 + 0.514995i −0.759714 + 0.0290628i
\(315\) 0.642688 + 0.202014i 0.0362114 + 0.0113822i
\(316\) −17.6621 + 1.35331i −0.993573 + 0.0761297i
\(317\) −11.0834 2.96978i −0.622504 0.166800i −0.0662384 0.997804i \(-0.521100\pi\)
−0.556266 + 0.831004i \(0.687766\pi\)
\(318\) 6.46559 6.68740i 0.362573 0.375011i
\(319\) 11.3016 + 6.52497i 0.632767 + 0.365328i
\(320\) 1.13283 + 2.11763i 0.0633273 + 0.118379i
\(321\) 19.6890 + 11.9357i 1.09893 + 0.666185i
\(322\) −1.64172 + 7.22067i −0.0914894 + 0.402392i
\(323\) 4.19102 + 4.19102i 0.233194 + 0.233194i
\(324\) 15.6690 8.85896i 0.870502 0.492164i
\(325\) −5.76228 + 5.76228i −0.319634 + 0.319634i
\(326\) −10.5779 + 6.65891i −0.585858 + 0.368803i
\(327\) 0.679510 1.12092i 0.0375770 0.0619868i
\(328\) −7.33813 + 2.90127i −0.405180 + 0.160196i
\(329\) 0.229740 0.397921i 0.0126660 0.0219381i
\(330\) 0.0287169 + 1.70289i 0.00158081 + 0.0937409i
\(331\) 5.08741 18.9865i 0.279630 1.04359i −0.673045 0.739601i \(-0.735014\pi\)
0.952675 0.303991i \(-0.0983192\pi\)
\(332\) −1.77949 + 2.07482i −0.0976623 + 0.113870i
\(333\) −8.57534 + 27.2816i −0.469926 + 1.49502i
\(334\) 9.54116 + 8.83806i 0.522069 + 0.483597i
\(335\) 1.36460 + 2.36356i 0.0745561 + 0.129135i
\(336\) −5.13873 0.673017i −0.280341 0.0367161i
\(337\) 4.99010 8.64310i 0.271828 0.470820i −0.697502 0.716583i \(-0.745705\pi\)
0.969330 + 0.245763i \(0.0790385\pi\)
\(338\) −13.8417 + 4.28229i −0.752891 + 0.232926i
\(339\) 1.97415 6.78418i 0.107221 0.368466i
\(340\) −0.746248 + 3.98045i −0.0404710 + 0.215870i
\(341\) −5.93139 5.93139i −0.321203 0.321203i
\(342\) −1.87855 + 3.22011i −0.101581 + 0.174124i
\(343\) −10.0541 −0.542868
\(344\) 16.6672 12.3657i 0.898636 0.666713i
\(345\) −0.0777873 + 3.63874i −0.00418793 + 0.195903i
\(346\) 9.93447 + 5.23990i 0.534081 + 0.281699i
\(347\) −1.81153 6.76074i −0.0972483 0.362935i 0.900102 0.435678i \(-0.143491\pi\)
−0.997351 + 0.0727428i \(0.976825\pi\)
\(348\) −8.81337 + 17.4149i −0.472446 + 0.933539i
\(349\) −5.23119 + 19.5231i −0.280019 + 1.04505i 0.672383 + 0.740203i \(0.265271\pi\)
−0.952403 + 0.304843i \(0.901396\pi\)
\(350\) 3.81053 + 3.52973i 0.203682 + 0.188672i
\(351\) 7.17714 + 4.78185i 0.383087 + 0.255236i
\(352\) −2.48963 12.8633i −0.132698 0.685614i
\(353\) 8.37682 4.83636i 0.445853 0.257414i −0.260224 0.965548i \(-0.583796\pi\)
0.706077 + 0.708135i \(0.250463\pi\)
\(354\) −0.0205277 + 0.00587308i −0.00109103 + 0.000312151i
\(355\) −1.24040 4.62923i −0.0658335 0.245694i
\(356\) 28.4668 + 13.6503i 1.50874 + 0.723463i
\(357\) −6.04621 6.31037i −0.319999 0.333980i
\(358\) −8.51795 13.5311i −0.450188 0.715141i
\(359\) 0.846908i 0.0446981i −0.999750 0.0223491i \(-0.992885\pi\)
0.999750 0.0223491i \(-0.00711452\pi\)
\(360\) −2.54069 + 0.183145i −0.133906 + 0.00965260i
\(361\) 18.2279i 0.959362i
\(362\) 24.5880 15.4784i 1.29232 0.813526i
\(363\) −2.72729 + 9.37235i −0.143146 + 0.491921i
\(364\) −0.824041 2.34240i −0.0431915 0.122775i
\(365\) 0.635398 + 2.37134i 0.0332582 + 0.124121i
\(366\) −25.0238 6.25485i −1.30802 0.326946i
\(367\) −15.5960 + 9.00434i −0.814103 + 0.470023i −0.848379 0.529390i \(-0.822421\pi\)
0.0342756 + 0.999412i \(0.489088\pi\)
\(368\) −4.26561 27.6719i −0.222360 1.44250i
\(369\) 0.357676 8.36187i 0.0186199 0.435301i
\(370\) 2.75018 2.96897i 0.142975 0.154349i
\(371\) 0.735225 2.74390i 0.0381710 0.142456i
\(372\) 8.36926 9.34635i 0.433926 0.484586i
\(373\) 5.01296 + 18.7086i 0.259561 + 0.968696i 0.965496 + 0.260419i \(0.0838607\pi\)
−0.705934 + 0.708277i \(0.749473\pi\)
\(374\) 10.3074 19.5421i 0.532983 1.01050i
\(375\) 4.40633 + 2.67116i 0.227542 + 0.137938i
\(376\) −0.254624 + 1.71857i −0.0131312 + 0.0886285i
\(377\) −9.35158 −0.481631
\(378\) 2.87080 4.68780i 0.147658 0.241114i
\(379\) 7.14922 + 7.14922i 0.367231 + 0.367231i 0.866466 0.499235i \(-0.166386\pi\)
−0.499235 + 0.866466i \(0.666386\pi\)
\(380\) 0.435402 0.297920i 0.0223357 0.0152830i
\(381\) 3.00765 0.737378i 0.154087 0.0377770i
\(382\) 8.55870 + 27.6644i 0.437901 + 1.41544i
\(383\) 3.80911 6.59757i 0.194636 0.337120i −0.752145 0.658998i \(-0.770981\pi\)
0.946781 + 0.321878i \(0.104314\pi\)
\(384\) 19.0046 4.77745i 0.969826 0.243798i
\(385\) 0.260058 + 0.450434i 0.0132538 + 0.0229562i
\(386\) −4.56180 + 4.92471i −0.232190 + 0.250661i
\(387\) 4.78336 + 21.4864i 0.243152 + 1.09221i
\(388\) −1.41207 18.4290i −0.0716869 0.935591i
\(389\) −0.417448 + 1.55794i −0.0211654 + 0.0789905i −0.975701 0.219107i \(-0.929686\pi\)
0.954535 + 0.298098i \(0.0963522\pi\)
\(390\) −0.627966 1.04651i −0.0317983 0.0529922i
\(391\) 23.6071 40.8887i 1.19386 2.06783i
\(392\) 16.9403 6.69768i 0.855615 0.338284i
\(393\) −3.34194 6.08516i −0.168578 0.306956i
\(394\) −7.08845 11.2603i −0.357111 0.567285i
\(395\) −1.88010 + 1.88010i −0.0945979 + 0.0945979i
\(396\) 13.5369 + 3.14210i 0.680253 + 0.157896i
\(397\) −20.8968 20.8968i −1.04878 1.04878i −0.998748 0.0500326i \(-0.984067\pi\)
−0.0500326 0.998748i \(-0.515933\pi\)
\(398\) 31.4969 + 7.16124i 1.57880 + 0.358961i
\(399\) −0.0243326 + 1.13823i −0.00121815 + 0.0569829i
\(400\) −18.3058 7.11392i −0.915291 0.355696i
\(401\) −16.6619 9.61977i −0.832057 0.480388i 0.0224993 0.999747i \(-0.492838\pi\)
−0.854557 + 0.519358i \(0.826171\pi\)
\(402\) 21.4100 6.12551i 1.06783 0.305513i
\(403\) 5.80621 + 1.55577i 0.289228 + 0.0774983i
\(404\) 20.5636 23.9763i 1.02307 1.19286i
\(405\) 0.919576 2.54049i 0.0456941 0.126238i
\(406\) 0.227856 + 5.95624i 0.0113083 + 0.295603i
\(407\) −19.1206 + 11.0393i −0.947772 + 0.547196i
\(408\) 30.0327 + 13.7832i 1.48684 + 0.682371i
\(409\) −4.69044 2.70803i −0.231928 0.133903i 0.379533 0.925178i \(-0.376085\pi\)
−0.611461 + 0.791275i \(0.709418\pi\)
\(410\) −0.552564 + 1.04762i −0.0272892 + 0.0517384i
\(411\) 0.991807 0.950290i 0.0489222 0.0468743i
\(412\) −18.6185 + 12.7395i −0.917266 + 0.627632i
\(413\) −0.00461065 + 0.00461065i −0.000226875 + 0.000226875i
\(414\) 28.6503 + 7.81555i 1.40809 + 0.384114i
\(415\) 0.410282i 0.0201400i
\(416\) 6.15395 + 7.09083i 0.301722 + 0.347656i
\(417\) 15.2840 + 27.8299i 0.748463 + 1.36284i
\(418\) −2.74960 + 0.850658i −0.134487 + 0.0416070i
\(419\) 6.50669 1.74346i 0.317873 0.0851738i −0.0963549 0.995347i \(-0.530718\pi\)
0.414228 + 0.910173i \(0.364052\pi\)
\(420\) −0.651247 + 0.425465i −0.0317776 + 0.0207606i
\(421\) −19.0218 5.09689i −0.927068 0.248407i −0.236464 0.971640i \(-0.575989\pi\)
−0.690604 + 0.723233i \(0.742655\pi\)
\(422\) −0.828996 21.6703i −0.0403549 1.05489i
\(423\) −1.55501 0.988716i −0.0756071 0.0480730i
\(424\) 1.22938 + 10.6703i 0.0597039 + 0.518196i
\(425\) −16.5590 28.6810i −0.803230 1.39124i
\(426\) −39.0993 + 0.659356i −1.89437 + 0.0319459i
\(427\) −7.60869 + 2.03874i −0.368210 + 0.0986616i
\(428\) −25.0795 + 8.82282i −1.21226 + 0.426467i
\(429\) 1.58544 + 6.46675i 0.0765456 + 0.312218i
\(430\) 0.690633 3.03757i 0.0333053 0.146485i
\(431\) −22.9770 −1.10676 −0.553380 0.832929i \(-0.686662\pi\)
−0.553380 + 0.832929i \(0.686662\pi\)
\(432\) −3.57735 + 20.4744i −0.172116 + 0.985077i
\(433\) −9.38876 −0.451195 −0.225598 0.974221i \(-0.572433\pi\)
−0.225598 + 0.974221i \(0.572433\pi\)
\(434\) 0.849434 3.73601i 0.0407741 0.179334i
\(435\) 0.697598 + 2.84540i 0.0334473 + 0.136426i
\(436\) 0.502292 + 1.42780i 0.0240554 + 0.0683793i
\(437\) −5.94106 + 1.59190i −0.284199 + 0.0761510i
\(438\) 20.0287 0.337757i 0.957009 0.0161387i
\(439\) −2.64587 4.58278i −0.126281 0.218724i 0.795952 0.605359i \(-0.206971\pi\)
−0.922233 + 0.386635i \(0.873637\pi\)
\(440\) −1.54063 1.22230i −0.0734464 0.0582707i
\(441\) −0.825706 + 19.3036i −0.0393193 + 0.919220i
\(442\) 0.605226 + 15.8208i 0.0287877 + 0.752521i
\(443\) 20.7945 + 5.57188i 0.987978 + 0.264728i 0.716401 0.697689i \(-0.245788\pi\)
0.271577 + 0.962417i \(0.412455\pi\)
\(444\) −18.0607 27.6450i −0.857122 1.31197i
\(445\) 4.57724 1.22647i 0.216982 0.0581402i
\(446\) −9.98371 + 3.08871i −0.472742 + 0.146255i
\(447\) 10.8887 + 19.8267i 0.515017 + 0.937769i
\(448\) 4.36637 4.09237i 0.206292 0.193346i
\(449\) 22.9162i 1.08148i −0.841189 0.540742i \(-0.818144\pi\)
0.841189 0.540742i \(-0.181856\pi\)
\(450\) 14.7960 14.6630i 0.697488 0.691222i
\(451\) 4.56905 4.56905i 0.215148 0.215148i
\(452\) 4.60719 + 6.73328i 0.216704 + 0.316707i
\(453\) 23.6377 22.6482i 1.11060 1.06411i
\(454\) −14.0790 + 26.6929i −0.660762 + 1.25276i
\(455\) −0.322781 0.186358i −0.0151322 0.00873658i
\(456\) −1.49683 4.03612i −0.0700953 0.189009i
\(457\) 2.67987 1.54723i 0.125359 0.0723761i −0.436009 0.899942i \(-0.643608\pi\)
0.561368 + 0.827566i \(0.310275\pi\)
\(458\) 0.996112 + 26.0388i 0.0465453 + 1.21671i
\(459\) −26.3205 + 23.1443i −1.22854 + 1.08029i
\(460\) −3.19004 2.73598i −0.148737 0.127566i
\(461\) 1.53371 + 0.410957i 0.0714320 + 0.0191402i 0.294358 0.955695i \(-0.404894\pi\)
−0.222926 + 0.974835i \(0.571561\pi\)
\(462\) 4.08019 1.16737i 0.189828 0.0543108i
\(463\) −0.0991508 0.0572447i −0.00460793 0.00266039i 0.497694 0.867353i \(-0.334180\pi\)
−0.502302 + 0.864692i \(0.667513\pi\)
\(464\) −9.08165 20.6268i −0.421605 0.957575i
\(465\) 0.0402475 1.88270i 0.00186644 0.0873082i
\(466\) 19.7543 + 4.49141i 0.915101 + 0.208061i
\(467\) 0.325359 + 0.325359i 0.0150558 + 0.0150558i 0.714595 0.699539i \(-0.246611\pi\)
−0.699539 + 0.714595i \(0.746611\pi\)
\(468\) −9.52671 + 2.90029i −0.440372 + 0.134066i
\(469\) 4.80882 4.80882i 0.222051 0.222051i
\(470\) 0.138924 + 0.220687i 0.00640810 + 0.0101795i
\(471\) 7.94260 + 14.4623i 0.365976 + 0.666387i
\(472\) 0.00980234 0.0226219i 0.000451189 0.00104126i
\(473\) −8.49723 + 14.7176i −0.390703 + 0.676718i
\(474\) 11.1628 + 18.6029i 0.512723 + 0.854458i
\(475\) −1.11663 + 4.16731i −0.0512344 + 0.191209i
\(476\) 10.0619 0.770965i 0.461187 0.0353371i
\(477\) −10.8682 3.41616i −0.497621 0.156415i
\(478\) 22.0888 23.8461i 1.01032 1.09069i
\(479\) −9.17908 15.8986i −0.419403 0.726427i 0.576476 0.817114i \(-0.304427\pi\)
−0.995879 + 0.0906864i \(0.971094\pi\)
\(480\) 1.69845 2.40141i 0.0775234 0.109609i
\(481\) 7.91075 13.7018i 0.360699 0.624749i
\(482\) 8.58820 + 27.7598i 0.391182 + 1.26442i
\(483\) 8.80832 2.15951i 0.400793 0.0982612i
\(484\) −6.36483 9.30202i −0.289311 0.422819i
\(485\) −1.96173 1.96173i −0.0890774 0.0890774i
\(486\) −18.2910 12.3061i −0.829696 0.558216i
\(487\) −24.8691 −1.12693 −0.563464 0.826140i \(-0.690532\pi\)
−0.563464 + 0.826140i \(0.690532\pi\)
\(488\) 23.9197 17.7464i 1.08279 0.803342i
\(489\) 13.0909 + 7.93586i 0.591993 + 0.358872i
\(490\) 1.27561 2.41847i 0.0576263 0.109255i
\(491\) 0.0538587 + 0.201003i 0.00243061 + 0.00907115i 0.967130 0.254281i \(-0.0818387\pi\)
−0.964700 + 0.263352i \(0.915172\pi\)
\(492\) 7.19964 + 6.44697i 0.324585 + 0.290652i
\(493\) 9.83640 36.7100i 0.443009 1.65333i
\(494\) 1.40159 1.51309i 0.0630607 0.0680773i
\(495\) 1.84936 0.964797i 0.0831226 0.0433644i
\(496\) 2.20705 + 14.3176i 0.0990994 + 0.642880i
\(497\) −10.3422 + 5.97108i −0.463912 + 0.267840i
\(498\) 3.24779 + 0.811805i 0.145537 + 0.0363779i
\(499\) −9.17443 34.2394i −0.410704 1.53277i −0.793288 0.608847i \(-0.791632\pi\)
0.382584 0.923921i \(-0.375034\pi\)
\(500\) −5.61270 + 1.97452i −0.251008 + 0.0883030i
\(501\) 4.45050 15.2941i 0.198833 0.683292i
\(502\) −0.746144 + 0.469704i −0.0333020 + 0.0209639i
\(503\) 39.4177i 1.75755i 0.477239 + 0.878773i \(0.341638\pi\)
−0.477239 + 0.878773i \(0.658362\pi\)
\(504\) 2.07939 + 5.99711i 0.0926233 + 0.267133i
\(505\) 4.74117i 0.210979i
\(506\) 12.2144 + 19.4030i 0.542995 + 0.862569i
\(507\) 12.2768 + 12.8132i 0.545232 + 0.569053i
\(508\) −1.54608 + 3.22426i −0.0685964 + 0.143054i
\(509\) −10.2393 38.2137i −0.453850 1.69379i −0.691447 0.722427i \(-0.743027\pi\)
0.237598 0.971364i \(-0.423640\pi\)
\(510\) 4.76864 1.36434i 0.211159 0.0604138i
\(511\) 5.29783 3.05870i 0.234362 0.135309i
\(512\) −9.66392 + 20.4599i −0.427089 + 0.904210i
\(513\) 4.55648 + 0.292576i 0.201173 + 0.0129175i
\(514\) −5.73405 5.31150i −0.252918 0.234280i
\(515\) −0.876418 + 3.27084i −0.0386196 + 0.144130i
\(516\) −22.6789 11.4773i −0.998381 0.505261i
\(517\) −0.368210 1.37418i −0.0161939 0.0604363i
\(518\) −8.91975 4.70469i −0.391911 0.206712i
\(519\) 0.294001 13.7528i 0.0129052 0.603680i
\(520\) 1.39405 + 0.206543i 0.0611332 + 0.00905752i
\(521\) −21.5152 −0.942596 −0.471298 0.881974i \(-0.656214\pi\)
−0.471298 + 0.881974i \(0.656214\pi\)
\(522\) 23.9044 + 0.107863i 1.04627 + 0.00472103i
\(523\) 18.8248 + 18.8248i 0.823149 + 0.823149i 0.986558 0.163409i \(-0.0522490\pi\)
−0.163409 + 0.986558i \(0.552249\pi\)
\(524\) 7.87919 + 1.47717i 0.344204 + 0.0645307i
\(525\) 1.77743 6.10815i 0.0775735 0.266581i
\(526\) 7.54238 2.33343i 0.328864 0.101742i
\(527\) −12.2144 + 21.1560i −0.532069 + 0.921571i
\(528\) −12.7240 + 9.77708i −0.553743 + 0.425493i
\(529\) 12.9979 + 22.5130i 0.565125 + 0.978825i
\(530\) 1.18275 + 1.09559i 0.0513753 + 0.0475894i
\(531\) 0.0176837 + 0.0192641i 0.000767405 + 0.000835990i
\(532\) −0.997876 0.855840i −0.0432634 0.0371054i
\(533\) −1.19843 + 4.47261i −0.0519099 + 0.193730i
\(534\) −0.651952 38.6602i −0.0282127 1.67299i
\(535\) −1.99529 + 3.45594i −0.0862639 + 0.149413i
\(536\) −10.2237 + 23.5942i −0.441595 + 1.01912i
\(537\) −10.1514 + 16.7457i −0.438065 + 0.722630i
\(538\) −2.82206 + 1.77651i −0.121667 + 0.0765907i
\(539\) −10.5478 + 10.5478i −0.454325 + 0.454325i
\(540\) 1.59313 + 2.68233i 0.0685574 + 0.115429i
\(541\) 17.5988 + 17.5988i 0.756630 + 0.756630i 0.975707 0.219078i \(-0.0703048\pi\)
−0.219078 + 0.975707i \(0.570305\pi\)
\(542\) 7.29729 32.0953i 0.313446 1.37861i
\(543\) −30.4294 18.4466i −1.30585 0.791620i
\(544\) −34.3083 + 16.6991i −1.47096 + 0.715969i
\(545\) 0.196750 + 0.113594i 0.00842786 + 0.00486583i
\(546\) −2.11388 + 2.18639i −0.0904655 + 0.0935690i
\(547\) 29.1328 + 7.80612i 1.24563 + 0.333765i 0.820647 0.571436i \(-0.193613\pi\)
0.424983 + 0.905201i \(0.360280\pi\)
\(548\) 0.121173 + 1.58144i 0.00517627 + 0.0675559i
\(549\) 6.86476 + 30.8358i 0.292981 + 1.31604i
\(550\) 16.0705 0.614778i 0.685249 0.0262142i
\(551\) −4.28764 + 2.47547i −0.182660 + 0.105459i
\(552\) −27.9700 + 19.8388i −1.19048 + 0.844396i
\(553\) 5.73777 + 3.31270i 0.243995 + 0.140871i
\(554\) −0.886675 0.467673i −0.0376712 0.0198695i
\(555\) −4.75915 1.38488i −0.202015 0.0587850i
\(556\) −36.0347 6.75572i −1.52821 0.286506i
\(557\) 25.0618 25.0618i 1.06190 1.06190i 0.0639497 0.997953i \(-0.479630\pi\)
0.997953 0.0639497i \(-0.0203697\pi\)
\(558\) −14.8238 4.04381i −0.627542 0.171188i
\(559\) 12.1782i 0.515084i
\(560\) 0.0975854 0.892936i 0.00412374 0.0377334i
\(561\) −27.0531 0.578328i −1.14218 0.0244170i
\(562\) 1.91569 + 6.19213i 0.0808086 + 0.261199i
\(563\) 13.8780 3.71859i 0.584886 0.156720i 0.0457710 0.998952i \(-0.485426\pi\)
0.539115 + 0.842232i \(0.318759\pi\)
\(564\) 2.02184 0.663062i 0.0851347 0.0279199i
\(565\) 1.18288 + 0.316952i 0.0497642 + 0.0133343i
\(566\) 20.5218 0.785063i 0.862597 0.0329986i
\(567\) −6.70782 0.574901i −0.281702 0.0241436i
\(568\) 28.0646 35.3736i 1.17756 1.48424i
\(569\) 14.1987 + 24.5928i 0.595239 + 1.03098i 0.993513 + 0.113718i \(0.0362761\pi\)
−0.398274 + 0.917267i \(0.630391\pi\)
\(570\) −0.564942 0.313589i −0.0236628 0.0131348i
\(571\) −17.3238 + 4.64190i −0.724978 + 0.194257i −0.602392 0.798201i \(-0.705786\pi\)
−0.122586 + 0.992458i \(0.539119\pi\)
\(572\) −6.93249 3.32424i −0.289862 0.138993i
\(573\) 25.6087 24.5368i 1.06982 1.02504i
\(574\) 2.87791 + 0.654332i 0.120122 + 0.0273113i
\(575\) 34.3677 1.43323
\(576\) −15.6489 18.1965i −0.652037 0.758187i
\(577\) −10.1199 −0.421295 −0.210648 0.977562i \(-0.567557\pi\)
−0.210648 + 0.977562i \(0.567557\pi\)
\(578\) −39.2985 8.93506i −1.63460 0.371649i
\(579\) 7.89413 + 2.29714i 0.328069 + 0.0954660i
\(580\) −3.05032 1.46268i −0.126658 0.0607344i
\(581\) 0.987517 0.264604i 0.0409691 0.0109776i
\(582\) −19.4106 + 11.6474i −0.804594 + 0.482802i
\(583\) −4.39772 7.61707i −0.182135 0.315467i
\(584\) −14.3762 + 18.1202i −0.594890 + 0.749821i
\(585\) −0.802016 + 1.26137i −0.0331593 + 0.0521514i
\(586\) −8.83878 + 0.338127i −0.365127 + 0.0139679i
\(587\) −20.9306 5.60833i −0.863897 0.231480i −0.200450 0.979704i \(-0.564240\pi\)
−0.663447 + 0.748224i \(0.730907\pi\)
\(588\) −16.6206 14.8830i −0.685422 0.613766i
\(589\) 3.07394 0.823658i 0.126659 0.0339383i
\(590\) −0.00109373 0.00353529i −4.50283e−5 0.000145546i
\(591\) −8.44778 + 13.9354i −0.347495 + 0.573226i
\(592\) 37.9045 + 4.14243i 1.55787 + 0.170253i
\(593\) 20.8755i 0.857256i 0.903481 + 0.428628i \(0.141003\pi\)
−0.903481 + 0.428628i \(0.858997\pi\)
\(594\) −3.97809 16.5485i −0.163223 0.678994i
\(595\) 1.07107 1.07107i 0.0439095 0.0439095i
\(596\) −25.6719 4.81292i −1.05156 0.197145i
\(597\) −9.41988 38.4223i −0.385530 1.57252i
\(598\) −14.5323 7.66499i −0.594269 0.313445i
\(599\) −9.64766 5.57008i −0.394193 0.227587i 0.289782 0.957093i \(-0.406417\pi\)
−0.683975 + 0.729505i \(0.739750\pi\)
\(600\) 2.24176 + 23.9487i 0.0915195 + 0.977702i
\(601\) 21.0323 12.1430i 0.857927 0.495324i −0.00539080 0.999985i \(-0.501716\pi\)
0.863317 + 0.504661i \(0.168383\pi\)
\(602\) −7.75660 + 0.296729i −0.316135 + 0.0120938i
\(603\) −18.4437 20.0921i −0.751087 0.818213i
\(604\) 2.88792 + 37.6905i 0.117508 + 1.53360i
\(605\) −1.63415 0.437870i −0.0664377 0.0178019i
\(606\) −37.5310 9.38111i −1.52459 0.381081i
\(607\) 23.4924 + 13.5633i 0.953525 + 0.550518i 0.894174 0.447719i \(-0.147764\pi\)
0.0593510 + 0.998237i \(0.481097\pi\)
\(608\) 4.69857 + 1.62208i 0.190552 + 0.0657839i
\(609\) 6.39874 3.51415i 0.259290 0.142401i
\(610\) 0.991150 4.35932i 0.0401305 0.176504i
\(611\) 0.720877 + 0.720877i 0.0291636 + 0.0291636i
\(612\) −1.36459 40.4481i −0.0551604 1.63502i
\(613\) −25.5272 + 25.5272i −1.03103 + 1.03103i −0.0315305 + 0.999503i \(0.510038\pi\)
−0.999503 + 0.0315305i \(0.989962\pi\)
\(614\) −7.65138 + 4.81661i −0.308785 + 0.194383i
\(615\) 1.45028 + 0.0310033i 0.0584808 + 0.00125017i
\(616\) −1.94837 + 4.49646i −0.0785020 + 0.181168i
\(617\) −3.82807 + 6.63041i −0.154112 + 0.266930i −0.932735 0.360562i \(-0.882585\pi\)
0.778623 + 0.627492i \(0.215918\pi\)
\(618\) 24.1578 + 13.4096i 0.971768 + 0.539411i
\(619\) −8.43446 + 31.4778i −0.339009 + 1.26520i 0.560447 + 0.828190i \(0.310629\pi\)
−0.899457 + 0.437010i \(0.856037\pi\)
\(620\) 1.65055 + 1.41561i 0.0662875 + 0.0568523i
\(621\) −7.14306 35.6632i −0.286641 1.43111i
\(622\) 13.1345 + 12.1666i 0.526647 + 0.487838i
\(623\) −5.90402 10.2261i −0.236540 0.409699i
\(624\) 4.39333 10.6266i 0.175874 0.425405i
\(625\) 11.8282 20.4870i 0.473126 0.819479i
\(626\) 25.9406 8.02539i 1.03680 0.320759i
\(627\) 2.43873 + 2.54528i 0.0973936 + 0.101649i
\(628\) −18.7261 3.51072i −0.747251 0.140093i
\(629\) 45.4661 + 45.4661i 1.81285 + 1.81285i
\(630\) 0.822940 + 0.480089i 0.0327867 + 0.0191272i
\(631\) −20.5675 −0.818781 −0.409390 0.912359i \(-0.634259\pi\)
−0.409390 + 0.912359i \(0.634259\pi\)
\(632\) −24.7807 3.67153i −0.985725 0.146045i
\(633\) −23.2802 + 12.7853i −0.925304 + 0.508172i
\(634\) −14.3530 7.57045i −0.570032 0.300661i
\(635\) 0.138915 + 0.518437i 0.00551266 + 0.0205735i
\(636\) 11.0129 7.19484i 0.436691 0.285294i
\(637\) 2.76662 10.3252i 0.109617 0.409098i
\(638\) 13.5393 + 12.5415i 0.536024 + 0.496524i
\(639\) 22.1523 + 42.4624i 0.876331 + 1.67979i
\(640\) 0.898239 + 3.27544i 0.0355060 + 0.129473i
\(641\) 12.3382 7.12347i 0.487330 0.281360i −0.236136 0.971720i \(-0.575881\pi\)
0.723466 + 0.690360i \(0.242548\pi\)
\(642\) 23.4092 + 22.6328i 0.923889 + 0.893245i
\(643\) 3.10018 + 11.5700i 0.122259 + 0.456277i 0.999727 0.0233581i \(-0.00743578\pi\)
−0.877468 + 0.479635i \(0.840769\pi\)
\(644\) −4.52792 + 9.44270i −0.178425 + 0.372095i
\(645\) −3.70546 + 0.908457i −0.145902 + 0.0357705i
\(646\) 4.46545 + 7.09354i 0.175691 + 0.279092i
\(647\) 3.24662i 0.127638i −0.997961 0.0638189i \(-0.979672\pi\)
0.997961 0.0638189i \(-0.0203280\pi\)
\(648\) 24.3855 7.30382i 0.957954 0.286921i
\(649\) 0.0201888i 0.000792479i
\(650\) −9.75300 + 6.13960i −0.382544 + 0.240815i
\(651\) −4.55747 + 1.11734i −0.178621 + 0.0437921i
\(652\) −16.6750 + 5.86616i −0.653043 + 0.229737i
\(653\) −0.0259859 0.0969809i −0.00101691 0.00379516i 0.965416 0.260716i \(-0.0839587\pi\)
−0.966432 + 0.256921i \(0.917292\pi\)
\(654\) 1.28851 1.33271i 0.0503846 0.0521131i
\(655\) 1.04206 0.601635i 0.0407167 0.0235078i
\(656\) −11.0291 + 1.70012i −0.430613 + 0.0663787i
\(657\) −11.3476 21.7515i −0.442711 0.848606i
\(658\) 0.441579 0.476708i 0.0172145 0.0185840i
\(659\) 4.94194 18.4436i 0.192511 0.718459i −0.800387 0.599484i \(-0.795372\pi\)
0.992897 0.118975i \(-0.0379609\pi\)
\(660\) −0.494320 + 2.35732i −0.0192414 + 0.0917585i
\(661\) −7.13036 26.6109i −0.277339 1.03504i −0.954258 0.298985i \(-0.903352\pi\)
0.676919 0.736058i \(-0.263315\pi\)
\(662\) 12.9686 24.5876i 0.504041 0.955625i
\(663\) 16.9962 9.33421i 0.660077 0.362511i
\(664\) −3.10449 + 2.30327i −0.120478 + 0.0893843i
\(665\) −0.197324 −0.00765189
\(666\) −20.3794 + 34.9332i −0.789686 + 1.35363i
\(667\) 27.8876 + 27.8876i 1.07981 + 1.07981i
\(668\) 10.3864 + 15.1794i 0.401860 + 0.587308i
\(669\) 8.85497 + 9.24183i 0.342353 + 0.357310i
\(670\) 1.14074 + 3.68725i 0.0440708 + 0.142451i
\(671\) −12.1947 + 21.1218i −0.470769 + 0.815396i
\(672\) −6.87539 2.53929i −0.265224 0.0979554i
\(673\) 21.3890 + 37.0468i 0.824484 + 1.42805i 0.902313 + 0.431082i \(0.141868\pi\)
−0.0778289 + 0.996967i \(0.524799\pi\)
\(674\) 9.59139 10.3544i 0.369446 0.398837i
\(675\) −24.1694 8.16865i −0.930281 0.314412i
\(676\) −20.4307 + 1.56544i −0.785795 + 0.0602093i
\(677\) 2.00745 7.49190i 0.0771525 0.287937i −0.916560 0.399897i \(-0.869046\pi\)
0.993713 + 0.111960i \(0.0357127\pi\)
\(678\) 4.84950 8.73654i 0.186244 0.335525i
\(679\) −3.45654 + 5.98690i −0.132650 + 0.229756i
\(680\) −2.27712 + 5.25514i −0.0873234 + 0.201526i
\(681\) 36.9523 + 0.789949i 1.41601 + 0.0302709i
\(682\) −6.31978 10.0392i −0.241997 0.384422i
\(683\) 31.9083 31.9083i 1.22094 1.22094i 0.253637 0.967299i \(-0.418373\pi\)
0.967299 0.253637i \(-0.0816269\pi\)
\(684\) −3.60019 + 3.85159i −0.137657 + 0.147269i
\(685\) 0.168341 + 0.168341i 0.00643198 + 0.00643198i
\(686\) −13.8647 3.15234i −0.529358 0.120357i
\(687\) 27.9732 15.3627i 1.06724 0.586125i
\(688\) 26.8615 11.8267i 1.02409 0.450889i
\(689\) 5.45840 + 3.15141i 0.207948 + 0.120059i
\(690\) −1.24816 + 4.99350i −0.0475165 + 0.190099i
\(691\) 29.1485 + 7.81032i 1.10886 + 0.297118i 0.766368 0.642402i \(-0.222062\pi\)
0.342493 + 0.939520i \(0.388729\pi\)
\(692\) 12.0569 + 10.3408i 0.458335 + 0.393097i
\(693\) −3.51490 3.82904i −0.133520 0.145453i
\(694\) −0.378387 9.89117i −0.0143634 0.375464i
\(695\) −4.76578 + 2.75152i −0.180776 + 0.104371i
\(696\) −17.6141 + 21.2522i −0.667659 + 0.805563i
\(697\) −16.2968 9.40898i −0.617286 0.356390i
\(698\) −13.3352 + 25.2825i −0.504743 + 0.956957i
\(699\) −5.90799 24.0978i −0.223461 0.911462i
\(700\) 4.14809 + 6.06231i 0.156783 + 0.229134i
\(701\) −6.92803 + 6.92803i −0.261668 + 0.261668i −0.825732 0.564063i \(-0.809237\pi\)
0.564063 + 0.825732i \(0.309237\pi\)
\(702\) 8.39812 + 8.84457i 0.316967 + 0.333817i
\(703\) 8.37625i 0.315916i
\(704\) 0.599889 18.5193i 0.0226092 0.697971i
\(705\) 0.165565 0.273116i 0.00623555 0.0102861i
\(706\) 13.0682 4.04297i 0.491828 0.152159i
\(707\) −11.4116 + 3.05773i −0.429178 + 0.114998i
\(708\) −0.0301495 + 0.00166287i −0.00113309 + 6.24945e-5i
\(709\) −14.8255 3.97247i −0.556782 0.149189i −0.0305546 0.999533i \(-0.509727\pi\)
−0.526228 + 0.850344i \(0.676394\pi\)
\(710\) −0.259090 6.77271i −0.00972347 0.254175i
\(711\) 14.2567 22.4223i 0.534668 0.840901i
\(712\) 34.9764 + 27.7494i 1.31079 + 1.03995i
\(713\) −12.6753 21.9543i −0.474695 0.822195i
\(714\) −6.35930 10.5978i −0.237991 0.396614i
\(715\) −1.11469 + 0.298680i −0.0416871 + 0.0111700i
\(716\) −7.50389 21.3304i −0.280434 0.797153i
\(717\) −38.2244 11.1231i −1.42752 0.415398i
\(718\) 0.265539 1.16790i 0.00990981 0.0435857i
\(719\) −6.93438 −0.258609 −0.129304 0.991605i \(-0.541274\pi\)
−0.129304 + 0.991605i \(0.541274\pi\)
\(720\) −3.56108 0.544043i −0.132714 0.0202753i
\(721\) 8.43787 0.314243
\(722\) −5.71515 + 25.1366i −0.212696 + 0.935487i
\(723\) 25.6970 24.6213i 0.955682 0.915677i
\(724\) 38.7604 13.6357i 1.44052 0.506766i
\(725\) 26.7215 7.16001i 0.992412 0.265916i
\(726\) −6.69959 + 12.0695i −0.248645 + 0.447943i
\(727\) −7.03023 12.1767i −0.260737 0.451610i 0.705701 0.708510i \(-0.250632\pi\)
−0.966438 + 0.256900i \(0.917299\pi\)
\(728\) −0.401936 3.48858i −0.0148967 0.129295i
\(729\) −3.45315 + 26.7783i −0.127894 + 0.991788i
\(730\) 0.132720 + 3.46934i 0.00491217 + 0.128406i
\(731\) 47.8061 + 12.8096i 1.76817 + 0.473780i
\(732\) −32.5472 16.4715i −1.20298 0.608804i
\(733\) 0.233976 0.0626936i 0.00864209 0.00231564i −0.254495 0.967074i \(-0.581909\pi\)
0.263138 + 0.964758i \(0.415243\pi\)
\(734\) −24.3304 + 7.52721i −0.898050 + 0.277834i
\(735\) −3.34801 0.0715722i −0.123493 0.00263998i
\(736\) 2.79387 39.4976i 0.102984 1.45590i
\(737\) 21.0565i 0.775627i
\(738\) 3.11501 11.4190i 0.114665 0.420340i
\(739\) −6.77417 + 6.77417i −0.249192 + 0.249192i −0.820639 0.571447i \(-0.806382\pi\)
0.571447 + 0.820639i \(0.306382\pi\)
\(740\) 4.72344 3.23198i 0.173637 0.118810i
\(741\) −2.42544 0.705786i −0.0891006 0.0259277i
\(742\) 1.87421 3.55337i 0.0688043 0.130448i
\(743\) −5.26562 3.04011i −0.193177 0.111531i 0.400292 0.916388i \(-0.368909\pi\)
−0.593469 + 0.804857i \(0.702242\pi\)
\(744\) 14.4718 10.2647i 0.530562 0.376322i
\(745\) −3.39524 + 1.96024i −0.124392 + 0.0718178i
\(746\) 1.04709 + 27.3713i 0.0383367 + 1.00214i
\(747\) −0.890964 4.00212i −0.0325987 0.146430i
\(748\) 20.3413 23.7171i 0.743751 0.867185i
\(749\) 9.60501 + 2.57365i 0.350959 + 0.0940393i
\(750\) 5.23890 + 5.06514i 0.191298 + 0.184953i
\(751\) −21.6001 12.4708i −0.788199 0.455067i 0.0511293 0.998692i \(-0.483718\pi\)
−0.839328 + 0.543625i \(0.817051\pi\)
\(752\) −0.889970 + 2.29011i −0.0324539 + 0.0835116i
\(753\) 0.923406 + 0.559778i 0.0336508 + 0.0203994i
\(754\) −12.8960 2.93208i −0.469645 0.106780i
\(755\) 4.01206 + 4.01206i 0.146014 + 0.146014i
\(756\) 5.42869 5.56446i 0.197439 0.202377i
\(757\) 27.5078 27.5078i 0.999789 0.999789i −0.000211103 1.00000i \(-0.500067\pi\)
1.00000 0.000211103i \(6.71963e-5\pi\)
\(758\) 7.61736 + 12.1005i 0.276675 + 0.439509i
\(759\) 14.5567 24.0126i 0.528374 0.871602i
\(760\) 0.693838 0.274322i 0.0251681 0.00995072i
\(761\) −3.41665 + 5.91781i −0.123854 + 0.214521i −0.921284 0.388890i \(-0.872859\pi\)
0.797431 + 0.603411i \(0.206192\pi\)
\(762\) 4.37880 0.0738427i 0.158627 0.00267504i
\(763\) 0.146521 0.546823i 0.00530440 0.0197963i
\(764\) 3.12873 + 40.8333i 0.113194 + 1.47730i
\(765\) −4.10797 4.47511i −0.148524 0.161798i
\(766\) 7.32143 7.90387i 0.264534 0.285579i
\(767\) −0.00723364 0.0125290i −0.000261192 0.000452397i
\(768\) 27.7057 0.629499i 0.999742 0.0227151i
\(769\) −1.16390 + 2.01594i −0.0419714 + 0.0726966i −0.886248 0.463211i \(-0.846697\pi\)
0.844277 + 0.535908i \(0.180031\pi\)
\(770\) 0.217397 + 0.702695i 0.00783443 + 0.0253234i
\(771\) −2.67466 + 9.19148i −0.0963256 + 0.331023i
\(772\) −7.83490 + 5.36096i −0.281984 + 0.192945i